diff --git "a/data/dm_maths/full_data/2453_11255.jsonl" "b/data/dm_maths/full_data/2453_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2453_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Round 6563292.6 to the nearest 1000.\nAnswer: 6563000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 32*r.\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-121) - 4\/66?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/((-2)\/50*-25).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*j**3 - 10*j - 64*j**3 - 1 + 36*j**3 - 2*j**3 to the form u*j**3 + g*j + b + o*j**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1048476*a**3 + 6006*a. Let y(i) = -873*i**3 + 5*i. Determine -5*b(n) + 6006*y(n).\nAnswer: -858*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5))**43\/((m\/(m**(-3)\/m))\/(m\/(m*(m\/((m\/(m*m**(-7\/2)))\/m))\/m))) assuming m is positive.\nAnswer: m**(-197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744*i + 1462*i = 745*i + 135 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 3*y - 5*y)*(-3 - 2*y + 3) + 0*y**2 + 0*y**2 - 2*y**2 + 3*y**2 - 5*y**2 + 5*y**2 - y**2 - 2*y + 2*y + (-y**2 + 2*y**2 - 2*y**2)*(0 - 1 + 3).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3546 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-1230)\/(-615)*(-5)\/(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 154433, 617748, 1389945, 2471018, 3860961, 5559768?\n\"Answer: -n**3 + 154447*n**2 - 19*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 9*o + 192*o**2 - 5*o.\nAnswer: 192*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250666 (base 7) in base 11?\nAnswer: -101a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 10, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84756.\nAnswer: 2, 3, 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.0443, 36, -0.009?\nAnswer: 0.0443","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6365?\nAnswer: 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 246021144 less than -350280?\nAnswer: -246371424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31428296 rounded to two dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*s**3 + 7896*s**2 - 320739*s - 328683.\nAnswer: -3*(s + 1)*(4*s - 331)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 35 = 5*v, -4*v - 12 - 16 = 3*k for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*l**3 - 9*l**3 - 53*l**3.\nAnswer: 38*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/12*-16*4\/(-36)*3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/3 - 14*s**2\/3 - 32*s\/3 - 8 = 0. What is s?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 4*a + 49. Calculate the remainder when s(-8) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3202\/187 + 4\/(-22). Let n = w - 15\/34. Find the common denominator of ((-6)\/((-210)\/(-125)))\/(18\/(-7)) and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 503 = -7*v + 5*v + 5*z, 2*v - z = -91 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -136669622738669\nAnswer: -136669622738669.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -168 + 287. Let f = v + -118.9841. What is f rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*(-45)\/(-126)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:14 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z + 138. Let m be v(-38). What is the greatest common divisor of m and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60a + -b?\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4.3. Let y = -5.5 + 0.5. Let p = 4.6 + y. What is the third smallest value in p, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.009 and 132.\nAnswer: 1.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*w - 136*w**2 + 19782*w**2 - 91*w.\nAnswer: 19646*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 + 135. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-6)\/4)\/3*1)\/(2525\/(-69482950))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*j + 0)*(174*j**3 - 153*j**3 + 1499*j**3).\nAnswer: 6080*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12 - 0 - (-6 + 3). Let l be 6\/(-4)*12\/h. Suppose 0 = -6*p + l*p + 48. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 15321?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/27)\/l)\/l**(-3\/5))**23\/((l**9\/(l**8\/l))\/(l*l**6\/l*l\/(l*l**(-4)\/l))) assuming l is positive.\nAnswer: l**(203\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.46 + 16. Let p = 0.7 - d. Let u = p - 0.16. Is u bigger than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -2*s**3\/3 + 3. Let u(y) be the third derivative of -y**5\/30 + 12*y**2. Calculate 3*m(f) - 4*u(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68306 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1204009648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5426242417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 4 - 6 + 3*t to the form r + z*t and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -137547673 - 2*d + 2*d**2 + 137547673. Let g(b) = b**2 - b. Suppose -2 = -q, i + 4*i = 3*q + 19. Suppose 0 = i*f - 28 + 3. Give f*g(c) - 3*y(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - -18.96. Let x = 29 - n. Let w = -10.1 + x. What is w rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-420)\/(-882))\/(4\/7).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 2*b**2 - 2*b - 1. Let a(f) be the first derivative of f**4\/4 + 4*f - 6. Let o be a(0). Suppose -2*j + 4*u = 0, o = 3*u + 1. Determine d(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 3. Determine t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(630)\/(sqrt(10) + sqrt(90) - sqrt(10)))\/(sqrt(9) + sqrt(81)\/(sqrt(9)*2)).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23783.\nAnswer: 17, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/(-460))\/(49\/70).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10556437.\nAnswer: 983, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from nnhnnnwnnnnnnw?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/7)*m*m)**(7\/10)\/(m**7*m*m\/m**2))\/((m**(2\/5))**(-15\/2)*(m*m**(-4))\/(m\/(m\/(m\/(m\/(m*m**(2\/7))))))) assuming m is positive.\nAnswer: m**(153\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by 3.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, w: 2}. What is prob of sequence vvw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**7\/2520 + f**5\/30 - 41*f**4\/12 + 93*f. Let c(w) be the third derivative of b(w). Calculate c(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29021.8 centimeters in kilometers?\nAnswer: 0.290218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 4 = d, 53*f - 39*f - 2*d - 8 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 2*d + 34 + 2*d**3 + 82 in the form x + o*d**2 + y*d**3 + v*d and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 97 + 2 + (-3)\/(-3). Suppose -3 = -3*f, -2*f = 3*z - 4*f - x. What is the greatest common divisor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 8*m + 14. Let r(w) = 41*w. Calculate the remainder when r(1) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m + 0 + 0)*(1 - 3 - 2) + 9*m - 5*m + m)*(2 + 2*m - 2)*(-m**3 + 4*m**3 - m**3).\nAnswer: 36*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d39d9 (base 14) in base 12?\nAnswer: 19600a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0, 13727782?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 44 = 12. Let r = p - -26. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -101815\/7703 >= -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 349. Suppose 3*o - 3*i = r - 133, -4*i = 5*o - 367. Does 35 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + -7. Let o = r - -22. Let v = o - -25. Solve 4*a = 2*t + 6, -2*t = 6*a - 3*a + v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8388690 to the nearest one hundred thousand.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**2\/5 + 16*a\/5 + 4\/5.\nAnswer: -(a - 2)*(9*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (392\/(-16))\/7*32\/(-28). Solve -2*a + h + 4 = -4*a, 3*h + 2 = w*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -21.0003. What is m rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2661000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*c = 0, -4*c = -56*l + 53*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10465\/3 + -3488. What is the nearest to -0.1 in -0.2, -0.09, j?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from mmmdnnomnmnmmmjoom?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1 + (1 + 4 - 6)*(-3 - 708 - 234))*(6 + 4*x - 6) to n + u*x and give u.\nAnswer: 3788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6 = -5*z, 4*z = n + 6 - 21. What is the second biggest value in n, 5, -4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -5*h. Suppose 9*x + 80 = h*v + 4*x, 0 = -5*v - 2*x + 67. Suppose v = -26*f + 31*f. Solve -6*l + f*l = -4*k - 35, 0 = -k + 2*l - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 191 and 53?\nAnswer: 10123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/299, -5, 5?\nAnswer: 3\/299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 452*u**2 + 2287*u + 2810. Calculate s(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*w - 7. Suppose -9*g = -w*g - 64. Suppose 3*y - n - g = 1, n - 63 = -5*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633361 bigger than 633361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12530 (base 8) in base 6?\nAnswer: -41144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*((sqrt(245) + 1 - sqrt(245))**2 + sqrt(245))*-2.\nAnswer: -126*sqrt(5) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**2 + 7*f + 36. Let k be l(-4). Suppose -33*i + 7*i = -k. Let x(u) = -3*u**2 - 6. Let s(t) = 2*t**2 + 5. What is i*x(d) + 5*s(d)?\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*m - 184, 3*m + 3*l - 261 = -0*m. Calculate the remainder when 1292 is divided by m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, -1, 2.8, -0.144, -8?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -948*v**5\/5 - 39808*v**4\/5 - 105540*v**3 - 2589272*v**2\/5 - 3356784*v\/5 + 28512\/5 = 0. Calculate v.\nAnswer: -22, -9, -2, 2\/237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.271 or -79.8?\nAnswer: -79.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5552, 5620, 5688?\n\"Answer: 68*w + 5484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2. Let k(w) = -w**2 - 4*w + 38. Let j be k(-7). Let s(p) = j*p**2 + 18*p**2 + 21*p**2. Determine s(i(z)).\nAnswer: 56*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 2 + 0*c - 3 + 4. Let m(z) be the first derivative of 7*z**2 + 9*z**2 + 4 + 5*z - 19*z**2. Calculate -m(b) - 5*o(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -3262?\nAnswer: -2\/1631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i + 336 = 26*i - 16*i for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2971.58?\nAnswer: 11886.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 25 = 2*i. Suppose -2*f = -4*p + 259 + 1377, p + i*f - 409 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + -5 - -107 - (2 - -63).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132300170 to the power of 1\/3, to the nearest integer?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -231759, -21, -1.9?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-955)\/1910)\/(1\/104)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 10:50 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -19306?\nAnswer: -1\/19306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 8, -3, -1, -22 in decreasing order.\nAnswer: 8, -1, -3, -5, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.040568s to microseconds.\nAnswer: 5040568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1019048 and 512572?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 0)*(-2 + 2 - 2*g**4) + 1 - 1 + 2*g**4 - 11*g**4 - 7*g**2 + 29*g**4 - 17*g**4 to z*g + n*g**2 + m + p*g**4 + c*g**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 174 + -173.805. Let y = 0.105 + f. What is the closest to y in 0.5, -4, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - 3) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*w + 5*u + 1256, -1595 = 5*w - 5*u. Let d = w - -656. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k**4 + 11666*k**3 + 19466*k**2 - 11666*k - 19460 = 0 for k.\nAnswer: -5\/3, -1, 1, 1946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3, -0.4, -5 in ascending order.\nAnswer: -5, -3, -1\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 60*u + 4. Let s(w) = 899*w + 62. What is 62*p(x) - 4*s(x)?\nAnswer: 124*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16587.3 rounded to the nearest 100?\nAnswer: 16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.004 times -0.03\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -6. Let c(m) = -8*m - 5. Let r be c(-5). Suppose 0 = 5*z + 5*k - r, 0*k + 2*k = 10. Solve b*n = z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -x - x - 7, 5*x - 2*n - 10 = 0. Let b be 417\/6 - (-2)\/x. What is the highest common divisor of 14 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 271431 and 33024105.\nAnswer: 99072315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-15 + 11))\/((3 + 0)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a hour in minutes?\nAnswer: 915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18069*3\nAnswer: 54207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 2*o + o**2 + (0*o + 2*o - o)*(-3*o + o + 3*o) - 4*o**2 + 0*o + 0*o in the form i*o + s*o**2 + v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from fbw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 - -2.9. What is the biggest value in 6\/5, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4)**(-35\/3) assuming x is positive.\nAnswer: x**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210312 - 2?\nAnswer: -210320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/360 + 4\/(-24))*6.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v - 3937 + 3991 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*c - 278 = 0, -2*c - 161 - 256 = -3*z. Let w = -35 + z. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4341300 (base 5) in base 3?\nAnswer: 10210022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 56.5203 years?\nAnswer: 678.2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*j - 3 = 0, 3*a - 15 = -3*j - 6. What is the units digit of (-35 - -87)\/(1\/a) + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 11228?\nAnswer: -11226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Let m(s) = s**2 - 2*s. Let k be m(c). Solve 7*l - 2*l = k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + -98. Let o(m) = m**3 - 7*m**2 + 11*m - 4. What are the prime factors of o(t)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.189 + -0.211. What is the fourth biggest value in p, 3, -21, 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 15*g**2 - 403*g + 1415. Suppose 0 = -4*m - m + 90. Suppose 2*a + 0*u = -2*u + 2, 3*a - 2*u = m. Calculate the remainder when k(4) is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/20 + (-1893)\/(-6). Find the second derivative of 95*w + r + 321 + 319*w**4 - 635 wrt w.\nAnswer: 3828*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 10 = -5*c + 10, 2*p + c - 4 = 0. Suppose -5*o = -2*g - 54 - 6, -5*o = -4*g - 60. Suppose p*j + o = 3*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188330 divided by -37.\nAnswer: 5090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - 6. Let f = t + 898\/25. Let c = 25.2 - 25.3. What is the nearest to 1 in 0.5, c, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c**3 + 10*c**2 + 348*c + 346. What is h(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2797 is divided by 161.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6273?\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -36 (b) 0.2 (c) -1\/3 (d) -2 (e) -1\/2 (f) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (6 - 3 - (8 - (-8 - -17)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 = 2*p + 202 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 120*l - 1632. Let q be n(15). Is q <= 167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + j + 4. Let s = 3 - 3. Give i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11282 and -1.\nAnswer: 11281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -25*(1827\/105)\/(-29)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 38 + (-2956)\/52.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/9 (c) -0.1 (d) -25659 (e) 3\/7 (f) -34 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1698\/546)*2496\/(-37440)?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 57*g**2 + 39*g - 24. What is the tens digit of k(28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2. Let p(r) be the first derivative of 31*r**3\/3 - 75. Determine p(g(b)).\nAnswer: 124*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 - 2*r**2 - 3*r - 1 + 4*r + (-12 + 28 + 14)*(-3 + 2*r**2 + 3).\nAnswer: 61*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unno when four letters picked without replacement from {u: 4, c: 3, o: 1, n: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {g: 5, b: 2, n: 4, a: 1, l: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4333, -4324, -4315, -4306, -4297, -4288?\n\"Answer: 9*t - 4342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 4*t + 7. Is 12 a factor of n(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3519)\/187 - 4\/22*1. Sort -5, 1, 2, n in descending order.\nAnswer: 2, 1, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8496)\/(-5940) - 3*140\/300?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwh when three letters picked without replacement from {h: 2, m: 2, w: 4, r: 2, d: 1, a: 6}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 41 (b) 0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*h**3 + 2 + 2*h**4 - 5*h + 3*h + 1481*h**2 - 1480*h**2 in the form q*h**3 + w*h**2 + i*h**4 + c*h + l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:00 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25\/(-1)*12\/(-30) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 5*v - 4. Let d be l(-4). Let h = d + -3. Let m = 6 + h. Solve 5*g + 20 = m*b - b, -b + 3*g = -12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**7\/3780 - y**6\/180 - y**5\/20 - 3*y**4\/4 + 20*y. Let n(s) be the third derivative of c(s). Factor n(o).\nAnswer: -2*(o + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**7\/840 - x**6\/72 - x**5\/20 + x**4\/24 + 5*x**3\/2 - 31*x. Let j(i) be the second derivative of y(i). Determine j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and -0.427?\nAnswer: 0.05978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 3:30 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 4*v - 4710 = 13*v. Calculate the remainder when v is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1956 and 35\/12.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37611 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (204\/357)\/((-8)\/(-42)). Solve 16*h - 57 = -x*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 270 = 42. Let t be c\/9*(-12)\/(-8). Let a = 19 + t. Let h(d) = -d + 3. What is h(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18613356\/173 <= 107592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/5 (b) -1 (c) 2870\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 - 2. Let j be (-4 - (-28)\/6)\/1. What is the closest to 0 in j, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7722 (b) -117 (c) 0.18 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*d + x, 2*d - 22 = -2*d + 3*x. Let y(i) = 4*i**2 - 7. Let v(c) = 3*c**2 - 5. Give d*v(h) - 5*y(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -42, -59, -84, -117, -158?\n\"Answer: -4*l**2 + 3*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -135 - (0\/1)\/1. Let h(q) = -q**3 + 7*q**2 - 7*q + 26. Let r be h(8). Let j = r - i. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, p: 1, q: 2, c: 1, e: 1}. Give prob of sequence rc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*b - 104 = 0, -2*b - 4 = 4. What are the prime factors of (-18)\/n - (-18)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 bigger than 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20. Calculate the remainder when 7 is divided by (-1 + q*(-3)\/12)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -12332, -33\/17, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38396 and 805654.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/2*(-1 - -3). Suppose -b*m - 5*r = -r - 276, 4*m - 223 = -r. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 31. Let p(m) = m**2 + 9*m. Let b be p(-9). Let w be l(b). Suppose w = 5*q - 414. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 38 = 26, o - 2*y - 376 = 0. Calculate the least common multiple of 253 and o.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttwadwttawa. Give prob of sequence ww.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5 = -7. Let u be 4\/y - 14\/(-6). Let s(l) = l**2 - l - 2. Let b be s(-2). Is b > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**3 + 11*y**2 + 11*y - 5. Let q = 11 - 7. Let j(k) = k**3 - 2*k**2 - 2*k + 1. Let g be 21 - (-1)\/(0 - -1). Determine g*j(z) + q*w(z).\nAnswer: -2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*z + 2607 + 87*z - 2607 - 241*z + 86*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*q + 17. Suppose 4*p**2 - q*p**2 + 3*p**2 + 2 - p + 0*p**2 = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83613 take away -15127920.74?\nAnswer: 15211533.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 213 or 1071\/5?\nAnswer: 1071\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 9 + 12. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (34\/34)\/((-2)\/(-20)). Let v be -2*3\/30 - (-116)\/(-20). Let s be (d\/v + 0 - -1)*21. Which is bigger: -13 or s?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -233*r + 33*r + 5005 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -23, 2, 4, 0, 5 in descending order.\nAnswer: 8, 5, 4, 2, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 6282?\nAnswer: 1\/3141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-2)\/8.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -22, 4\/5 in ascending order.\nAnswer: -22, -5, -4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -7.8906 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*t - f + 5, 0 = 4*t - 5*f + 35. Let o be 0 + 2 + (-4 - t). What is the common denominator of 97\/40 and (o + 121\/(-42))*(-117)\/30?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/4*-2*-2. Suppose 37 = v - 3*n, -f*n + 152 = 4*v - 60. Let r = 248 - v. Calculate the remainder when r is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1225451 (base 7) to base 2.\nAnswer: -100110100100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 40 + 176)*(2 + 2*a - 2)*(2 + 5 - 4) as c*a + n and give c.\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106 - -487. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*y + 1968 = -239*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuq when three letters picked without replacement from {q: 6, d: 1, u: 3, t: 2, c: 2, x: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 6*y + y)*(2*y - 2*y**3 - 2*y + (y - 4 + 4)*(4*y**2 - 2*y**2 - 5*y**2)).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 20*p + 12. Does 35 divide z(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42382, 169492, 381350, 677956, 1059310?\nAnswer: 1525412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - (-7)\/(-4) - 3596\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 824200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**2*y + 5*i**2 - 146*i*y + 5*y wrt i.\nAnswer: -6*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 1. What is the units digit of j(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -83. Suppose -i = 5*c - 19, 0 = -5*i + 4*c - 7 - 14. Let b = 1.04 - 1.44. What is the fourth biggest value in b, s, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 334*q**6 + 86*q**2?\nAnswer: 40080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 13*b - 21 = 9*b, 4*h + 18 = 2*b. Suppose -5*k - 7 - 3 = 0. Let w be (-6)\/(-1*3) + k. Sort -1, h, w.\nAnswer: h, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*1 - 96\/(-16). Let b(m) be the third derivative of -m**5\/60 + m**4\/8 + 2*m**3\/3 - m**2. Let y be b(4). Solve y*k - 4*k = d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**3 + v. Let a be b(-1). Let d = a + 18. Calculate the remainder when 37 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 4*m**2 + 3. Let k be x(-3). Let w be 4\/k - (-110)\/30. Suppose w*c - 317 = -116. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 43 = 2*x + 113, -x = -5*t - 328. Let n be (3\/t)\/((-1)\/(-4)). Which is the third smallest value? (a) n (b) -3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c. Suppose c = 3*s - 7*s + 84. Solve -5*w = 2*r - s, -2*r - 2 = -2*w + 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4504 - 2811. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.724151ml in litres?\nAnswer: 0.006724151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493282?\nAnswer: 2, 246641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/61 + -57\/122. Sort -4, 2\/35, v, 0.2 in descending order.\nAnswer: 0.2, 2\/35, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67657*q**3 + 4*q**2 - 7057*q + 2.\nAnswer: 405942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(2 + 4 - 4)*(3*z**3 - 6*z**3 - z**3).\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + -20. Let m = -16 - f. What is the highest common factor of 85 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 + 9*o - 10. Let m be l(4). Let x = m + 20. Suppose 6*z + 15 = z. Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, 105, 247, 395, 549?\n\"Answer: 3*z**2 + 127*z - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from fayaaaavfakvfvyky.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) 13 (c) 1\/143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z**2 - 17*z + 18. Let k(p) = 5*p**2 - 8*p + 8. What is -13*k(s) + 6*u(s)?\nAnswer: s**2 + 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1403*w + 1401*w = 21610800. Round w to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64885, -63949, -62381, -60175, -57325, -53825?\nAnswer: -49669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 574759 and 718.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 456.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-1838.5.\nAnswer: 73.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4, -3*k - 2 = 5*l - 8. Suppose l = 11*h - 15*h - 31720. Round h to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-12))\/(4\/(-3)). Let w = -872 - -553.1. Let m = -319 - w. Which is the closest to 1\/4? (a) -0.2 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1815, -1807, -1797, -1785, -1771, -1755, -1737?\nAnswer: -1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -412*n**2 - 20 - 382*n**2 + 839*n**2 + (n + 2*n - 5*n)*(3 + 2*n - 3).\nAnswer: 41*n**2 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -936 times -28?\nAnswer: 26208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -256.1183 + 256. Let c = -0.09 + 0.21. Let k = c + l. What is k rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + 14 + -5 + -17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/4*(290\/87 + (-24)\/3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103218638519 + -0.1.\nAnswer: 103218638518.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1 + 3 - 9*i**2 + 6*i + 3*i**2. Let k(m) = m**2 - m - 1. Let n(t) = -b(t) - 4*k(t). What is the second derivative of n(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143 + -3465443?\nAnswer: -3465300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -770.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.005 + 40. Let v = h - -0.00469. What is v rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251547 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104523326 to the power of 1\/2, to the nearest integer?\nAnswer: 33234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/194 in 2, 0.5, -894, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7565191273 to the nearest integer?\nAnswer: 86978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) 8 (c) 7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1371 = -174*m - 180 - 9509 + 1664 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 74606759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 29892*n - 149344. What is s(5)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4))**(7\/5)*((p*p**(-4))\/p)**(2\/51) assuming p is positive.\nAnswer: p**(-1468\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.43 to 0 dps.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 3*f**2 - 3*f + 3. Calculate d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - -73. Let b = 129 - j. Let t(x) = -2*x**2 - 2*x + 2. Let l be t(-2). What is the smallest value in l, b, -0.5, -1\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 40. Let w be h + 4\/(-1) - -4. Let v(d) = 5*d**3 + 2*d**2 - 1. Let t be v(1). Does t = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grggcrcrgrcgggrgcc. Give prob of sequence gccg.\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85979, -343893, -773735, -1375493, -2149155?\nAnswer: -3094709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1032 by -6.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 87*u + 87*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/12)*u\/(u*u**(-2\/5)\/u) assuming u is positive.\nAnswer: u**(89\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Let f = -6.1562 + 8.1562. Which is the nearest to f? (a) l (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.521 from -184.\nAnswer: -179.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuaaaaalaulua. What is prob of picking 3 u and 1 a?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 21 = 32*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4556, -4739, -5064, -5537, -6164, -6951, -7904, -9029?\nAnswer: -10332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 623040 and 1760.\nAnswer: 623040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 4:42 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*t + t = -236, 2*n = -4*t + 126. Suppose n = 15*r - 35. Solve -8 = -4*q, -22 = -3*f - 2*q - r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 40.3. Let d be (-5)\/(-21) + (-1)\/(-3). What is the smallest value in d, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 69 = 13. Calculate the greatest common factor of 140 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((3\/(-36))\/(26\/390))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57919742 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: b\"What is the oth term of 127, 128, 131, 136, 143, 152?\n\"Answer: o**2 - 2*o + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gngggggngngggg?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*1*sqrt(84))\/((sqrt(48)\/sqrt(4) + sqrt(12))*-2) + ((-3*sqrt(392))\/sqrt(7))\/((sqrt(8) - (sqrt(288) - sqrt(288)*-1) - sqrt(8)) + sqrt(8)))**2.\nAnswer: 90*sqrt(7)\/11 + 45151\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4796 smaller than -108\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:20 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 - 39\nAnswer: -41.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78.64 > 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a millimeter in micrometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t**3 - 47*t**2 + 33*t**3 - 50*t**2.\nAnswer: -t**3 - 97*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 11979 = -2421. Round s to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 11*m = 90. Let l be 138\/4 + (-45)\/m + -4. Suppose -3*n - 2*j = -l, n - 3*j + 39 = 4*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*-0.15.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 - -21?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2268 and 23472180?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 2)*(39*y**5 - 20*y**2 + 20*y**2).\nAnswer: -117*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-4896)*6)\/((-2)\/6).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -18 - (2 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Let x(z) = 151*z - 755. Let r be x(5). Solve r*w + i*w + 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) 0.03 (c) 1\/44 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 633, -447, -4901, -14415, -30675, -55367, -90177?\n\"Answer: -281*v**3 - v**2 + 890*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, 27, -2, -46 in decreasing order.\nAnswer: 27, 4, -2, -9, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/600 and 51\/4.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 13*p - 10*p - p. Let d(l) = -l**2 + 12*l. What is d(t(a))?\nAnswer: -a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 8*i**2 - 13*i. Let o be u(-9). Let t = o - 20. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllrrrrrrrrlqlqr. What is prob of picking 1 q and 1 r?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 110101110110010001101?\nAnswer: 110101110110010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -325*i. Let g(v) be the second derivative of v**4\/6 - 10*v - 15. Give h(g(b)).\nAnswer: -650*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 12:44 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-540)\/81)\/(16\/(-24)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2 = -z. Let k = z - -26. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.42 - -0.12. Let a be 40\/99 - (-14)\/(-77). What is the second biggest value in -4, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let t be r(5). Let i = -0.2 - -0.1. What is the nearest to i in 2\/3, t, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(10*57\/(-152))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/2 + 7*n**3 + 45*n**2\/2 - 225*n.\nAnswer: -n*(n - 15)*(n - 5)*(n + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 25*m**2 + 194*m + 669. Determine t(-6).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 2*y + 0*y)*(-4 + 5 + 0) - 3*y + 0*y + y - y + 0*y + 0*y - 2*y + 0*y + 3*y + (0 + 0 - 3 + 2 - 4 + 1 + (-3 - 1 - 2)*(0 + 0 - 2))*(0*y + 3*y - 4*y).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 9*g**2 + 7*g + 10. Let m be n(8). Let w(d) = 13 + 7*d**2 + 4 - d**3 - 5*d - 1 + d**m. Calculate the least common multiple of w(7) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 446\/9 (c) 2 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12a99 (base 12) to base 11\nAnswer: 18389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-46)\/10 + (-6)\/15. Let c = 3 + 2. Sort -4, c, u in ascending order.\nAnswer: u, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 5:34 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -18*d**5\/11 - 1202*d**4\/11 - 18664*d**3\/11 + 2240*d**2 = 0.\nAnswer: -40, -28, 0, 11\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 79241432?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 + 84.4. Which is the second smallest value? (a) -1\/2 (b) 0.2 (c) p (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -5 + 12 - (13 + -3)) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**9\/22680 - h**8\/5040 - h**4\/8 - 4*h**2. Let i(w) be the second derivative of b(w). Factor i(k).\nAnswer: 2*k**3*(k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 740221328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (3 + 1*sqrt(99))) + 6*sqrt(99)*-2 - (1 + -4*(2 + sqrt(99))))**2.\nAnswer: -192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4493*j - 3130. Let u be n(-5). What is the greatest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h + 24. Let v be n(8). Suppose -3*d - 375 = -2*i, -4*d = 5*i - v*d - 995. What is the remainder when i is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t + 16*t + 4*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 3. Give p(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.092 + 0.292. What is the closest to c in 0, 2\/7, 16?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 8049 = 16926 + 30033. What are the prime factors of o?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 22*i**2\/3 - 131*i\/3 - 36.\nAnswer: (i - 27)*(i + 1)*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + 13. Let d(t) = -9*t + 25. Let n(p) = 6*d(p) - 11*y(p). What are the prime factors of n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -2 (c) -59 (d) -8194\/5 (e) 4\/7 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 15*h**3 + 2*h**2 + 2*h + 1. Let y(p) = -16*p**3 - 3*p**2 - 3*p - 1. Determine 3*g(r) + 2*y(r).\nAnswer: 13*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 23 = -3*i, 2*i - 8 = -f + 3. What is the highest common divisor of 412 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42039 + 3?\nAnswer: -42036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0 + 0*z + 57*z**2 - 5\/3*z**3 + 1\/12*z**4. What is u(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2202, 4440, 6678?\nAnswer: 8916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 784874 + 72*r**2 - 784874 + (-2*r**2 + 2*r**2 + r**2)*(-1 + r + 1).\nAnswer: -2*r**3 + 72*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 = 3*f - 1080. Suppose -f = -17*z + 22607. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71960732 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 754 and 116?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29913 and 80?\nAnswer: 2393040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5 = u + 4*u, 0 = -4*c. What is the hundreds digit of (208\/(-5) - u)*(-8 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -9*k + 3069. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = -d, 0 = 3*d - 5*u - 5. Let t be (-4 - d)*(7 + 0). Suppose m - 196 = t. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -28019.\nAnswer: -28018.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*u**2 - 31*u**2 - 1185*u**3 - 31*u**3 - 29*u**2.\nAnswer: -1216*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -15*z**2. Suppose 0 = -8*c + 26*c - 90. Let o(t) = -9*t + 5. Let k(i) = 2*i - 1. Let f(m) = c*k(m) + o(m). Give r(f(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -4*t + 2*q - 57205, -4*t - 57198 = -2*q. Round t to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2 - 4*c**3 + 340770*c - 340773*c + 6*c**3 + c**2. What is x(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717*g + 656*g + 305 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 106\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(6480) + sqrt(6480) - -1*sqrt(225)\/sqrt(5))\/(sqrt(81)*-4 - sqrt(81) - ((sqrt(72)\/sqrt(392) - sqrt(9)) + sqrt(9))).\nAnswer: -259*sqrt(5)\/106 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1124 - -2197\/2. Let f = -641\/7 + 3251\/42. Calculate the common denominator of f and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*h**4 - 96080*h**3 - 160108*h**2 - 64040*h = 0. What is h?\nAnswer: -8005, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*t = 76, m - 4*t - 31 = -0*t. Calculate the remainder when m is divided by 2*(3 + -3 + 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -16. Suppose 0 = 5*q - m*l - 39, l + 4 = -3*l. Let u be (-3)\/q + 32\/(-7). Sort 1, u, -2 in descending order.\nAnswer: 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30798362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64886106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 5. Let z(f) = -4*f. Is z(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -283455 and -4016?\nAnswer: 279439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, l: 3, e: 5}. Give prob of picking 1 e and 1 l.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 151\/41 less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 6689 = c + 4*n, 3*n = -2*c + 2671. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**2 + i - 11. Let t(n) = 3*n**2 + 5. Let c(h) = 2*q(h) + 5*t(h). Let w be -3 + 2 + -1 + 0. List the prime factors of c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*-3*(-3)\/9. Suppose -q*x + 2 = -4*x. Let f be (-2)\/6*(24 + -25)*0. Solve f = -v - v + x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29084754 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*g = -2, -2*u + 3*g + 14 = g. Find the first derivative of -3 - 3*m**4 + 2*m**4 + u wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/44)\/((-195)\/(-165)) + 96\/(-286).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5096*d = -5088*d - 24. Solve v = -3*k + 5 - 0, -4*v = -d*k + 25 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*g - 48 + 302*g - 181 - 97*g - 104*g.\nAnswer: -2*g - 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1388771 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6870508 millilitres in litres?\nAnswer: 0.0006870508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28819 or -0.029?\nAnswer: 28819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 149 + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = 2*p, -4*d + 4*p + 17 = -3. Suppose 2*q + 1 = d. Which is smaller: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 5*d**2 + d. Let r be n(5). Suppose 10*o - 170 = r*o. Suppose 136*p + 1385 + 496 = 235*p. Calculate the remainder when o is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2471 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 9:30 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147 and 72.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 g when four letters picked without replacement from {y: 6, v: 2, g: 3, w: 2}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4031, 4034, 4035, 4034, 4031, 4026?\nAnswer: 4019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*i - 35144 = 749*i - 2*i + 13743 for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1677*o + 25435. Calculate x(13).\nAnswer: 3634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 1\/7, 2\/223, -7, -4\/3, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 853565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1424 divided by 16\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 610037?\nAnswer: 610031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36956)\/8)\/(2\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (4 - ((-2 - -7) + 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 190771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 9. Let p(g) = -g**2 - 4*g + 6. Let l be p(-6). Let m(v) = -v**2 - 4*v + 6. Let r be m(l). Is q(r) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/(-2948) + (-127)\/(-8509).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4930541 by -34.\nAnswer: -4930541\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 + 93. Solve -2*z - x = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 12. Let u(m) = m + 8. Let v be u(-4). Suppose -4*q = -v*q - 2*q. List the prime factors of b(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22076319.\nAnswer: 3, 17, 432869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 262, -5\/2, -2\/1909?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -23. Suppose -n - 8 = -4*z. Suppose -2*h = -3*c - 7, 4*c + 10 = z*h - 1. Is 1\/17 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -1.06 (c) -12 (d) 2\/131 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.296 + 4.296. Put -2\/9, 6, -2\/15, n, -1\/5 in descending order.\nAnswer: 6, -2\/15, -1\/5, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Let i be 2\/(-2 + (-2 - -2)). Let z(q) = 2*q**3 + q**2 + q + 1. Let y be z(i). Let k(p) = p - 3 - 7 + 2. Calculate y*k(l) + 6*x(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = w - 23. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**6*v + s**5*v - 120*s**3*v + 13*s**2*v + v - 9 wrt s?\nAnswer: 360*s**3*v + 60*s**2*v - 720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 16*s - 16. Let d be r(10). Calculate the highest common divisor of d and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1678 divided by -839?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358434?\nAnswer: 2, 3, 19913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28*-2419681.\nAnswer: 677510.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -9.02.\nAnswer: 72.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**10*q\/(q\/(q\/q**(-17)))*(q**21)**(1\/43) assuming q is positive.\nAnswer: q**(1225\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -823\/5 or -165?\nAnswer: -823\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68383220 is divided by 702?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 41. Let a be h(20). Is a at least 1\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1602*g**2 + 6206*g - 6206*g + (3*g + 2*g + 2*g)*(-g + 2*g + g) to n*g**2 + u*g + z and give n.\nAnswer: -1588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 2, u: 7, y: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(8\/5)\/(r**(1\/4)*r)*(r*(r**(1\/7)*r)\/r)\/(r**(2\/17)\/r*r) assuming r is positive.\nAnswer: r**(3273\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.01, 2, 0.5, 3, 35, -3\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 5\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 2*9\/(-6). Let a be (9 - b)*74\/5. Is 1\/(-6)*a*-6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.4 (c) 5 (d) -1 (e) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 + 8.6. Let x = 6.7 - f. Let g be ((-5)\/(20\/12))\/(13\/5 - 2). Which is the third biggest value? (a) x (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 22*t**2 - 41*t + 29. Let c be u(7). What is the greatest common divisor of 40 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 3*s**2 - 3*s - 2. Let q be j(-3). Solve 0 = 5*b + q - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -1\/3*f**5 + 0*f + 0 + 5\/3*f**3 - 1\/3*f**4 - f**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -s + 2*l, -4*s + 2*l = -0*l - 234. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppi when three letters picked without replacement from iiiiiipiipi?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234 is divided by 22*(-2)\/(-8) - (-40)\/(-80)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2*(-43684)\/20)\/((-40)\/100) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 536, 803, 1070, 1337?\nAnswer: 1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56694437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-40))\/(9\/8). Sort -2\/19, -0.4, k, 2 in descending order.\nAnswer: 2, -2\/19, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxyyyyyyyxyyyyyyyy. Give prob of sequence xyy.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 21.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200 - -175.6. Let i = 24.39999719 + m. What is i rounded to 7 decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00142468 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-227 - 244 + 115)*(-4 + 4 - 1) + (1 - 2 + 0)*(0 + 3 - 2) - 1 - 3 + 9)*(4*m - 4*m - m) in the form d + j*m and give j.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 3*r + 3*r)*(-155667*r**2 + 19 + 62132*r**2 - 32 - 144564*r**2 + 13).\nAnswer: -476198*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20001012 - 21?\nAnswer: -20001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2778)\/(-6019) - (-7)\/13)*(-5)\/10*-170\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 300 - -21*(-12)\/252. Calculate the highest common divisor of k and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + f**2 + f - 1. Let r(t) = -6*t**3 - 10*t**2 + t + 9. Let p(x) = 5*o(x) + r(x). Let k be p(-6). Are k and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 2*i + 25, -22 = -n - 24*i + 23*i for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 121*o**3\/6 - 181*o**2\/2 + 10*o. Differentiate v(h) wrt h.\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10126 and 22159.\nAnswer: 224382034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j - 2*a - 18, 12*j + 5*a - 3 = 3*j + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -58*b - 5. Let x(c) = -58*c - 6. Let l(q) = -3*n(q) + 2*x(q). Is l(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 1. Let u(r) = -19*r**2 + 4. Let h(g) = 4*f(g) + u(g). Let k(d) = 0 - 2*d + 0. Calculate h(k(w)).\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30621 * -7.4.\nAnswer: 226595.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.4, -4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4 - 6 = 4*h, -22*r + 40 = h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(425) - (sqrt(425) + -1)) + -2)*1 - -2*5*(-5 + sqrt(425) + 1 - sqrt(425)))**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*d - d**2 + 7*d**2 - 6*d**2 + d**3.\nAnswer: d**3 + 57*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**4 - 41378*q**3 - 13812*q**2 + 262082*q - 206895 = 0.\nAnswer: -3, 1, 5\/3, 13793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -232 (c) -0.6 (d) 1\/2 (e) -0.038 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331341134 (base 5) in base 11?\nAnswer: -1a03811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**4\/12 + b**2\/2 + 7*b. Let p = 14 - 6. Let c = p + -6. What is g(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141986\/7 + -20378. Let s(w) = 11*w**3 + w**2 + 2. Let j be s(2). Let z = j + n. Is z less than or equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 + 34.025503639.\nAnswer: 14.025503639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 10\/11, -986, 0.07?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 6*f - f + 10 = 0, 0 = f + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((25\/10)\/(-5)*0)\/5. What is the third smallest value in 39, x, 2\/5, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -399, 4, 0.4, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15545829913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**3 - 2*k**2 - 5*k + 6. Let u be (-9 - (-200)\/24)*(-6)\/4. Calculate the remainder when (-18)\/(-4)*(-1 + 3) is divided by x(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158.8 - -270.8. Let h = -0.276 - 111.724. Let i = h + k. Put -4, 9\/5, i in decreasing order.\nAnswer: 9\/5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 - f**2 + 4*f + 3. Let y(l) be the second derivative of l**5\/20 + l**3\/6 + l**2\/2 - 9*l + 172. What is -t(g) + 2*y(g)?\nAnswer: 5*g**3 + g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 + (-15 - (5 - (20 - 3)) - (5 - -3))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -437, -704, -993, -1298, -1613, -1932, -2249?\nAnswer: -2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159609.5ns in minutes?\nAnswer: 0.000019326825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + z**2 + 2*z**2 - z**2 + 3*z - 3*z + (21 - 5 - 217*z + 215*z)*(4*z + 2*z - 3*z) + z**2 - 4*z**2 + z**2.\nAnswer: -10*z**2 + 48*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756598 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 0.04, 0.2 in decreasing order.\nAnswer: 1, 0.2, 0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 37*j - 78. Let h be b(2). Suppose 4*x - 3 = x. Let m = -4 - x. Sort 0, m, -8, h in descending order.\nAnswer: 0, h, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125901637*b**2 - 125867421 with respect to b.\nAnswer: -251803274*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 3, g: 2, i: 5, p: 1}. Give prob of picking 1 p and 1 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4988 - 4993. Let p(o) = -7*o**3 + 2*o**2 + 7*o - 5. Let r(j) = 10*j**3 - 3*j**2 - 10*j + 7. Determine n*r(f) - 7*p(f).\nAnswer: -f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-240)\/8 + 0 + (2 - 0). Let p = -49 - o. Suppose -59 - 29 = 4*v. Is v greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -643, -928, -1199, -1456, -1699?\n\"Answer: 7*u**2 - 306*u - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/((-32)\/2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)\/b)**(1\/9)*(b\/(b\/((b**9*b)\/b)))**(-3\/2))**32 assuming b is positive.\nAnswer: b**(-4048\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 3, y: 2, t: 1, c: 1, a: 1}. Give prob of sequence tc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*m + 454 = 398, 5*m - 28 = j for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 0.12, 11\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + 0 + sqrt(17) + 5) + (sqrt(136)\/(3*sqrt(8)) - ((1*-4*sqrt(17))**2 - sqrt(17))).\nAnswer: -278 + sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6092 - -6089.8. What is the second biggest value in u, 5, -1.8, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2047*k**2 - 20433*k - 365. Determine p(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 50 = 9226*w - 9230*w, -3*w - 22 = -7*a for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 - (-17 - (-8 - 11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:00 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*t - 6643 + 6546 = 0, b - 4*t = -34 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*h**4*v - 19*h**3*v**2 + h**3*v + 10*h**3 - 3*h**2*v**2 + 3*v**2 + 9*v wrt h?\nAnswer: -288*h*v - 114*v**2 + 6*v + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 + -1. Let y = -584.2 + 584.40008. Let o = y - h. What is o rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-15015)\/(-55) - 7\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 13.55.\nAnswer: 4.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, 2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*r + 45 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**6\/720 - i**5\/30 + i**4\/4 + 3*i. Let b(t) be the third derivative of q(t). Let h be ((-7)\/28 - 0)*8*-3. Calculate b(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2364.044 millennia?\nAnswer: 23640.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.247, -0.5, -0.8, 8 in decreasing order.\nAnswer: 8, 0.247, -0.5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 16*s - 13. Let i be h(15). Suppose -i*x - 8*x + 2110 = 0. Let q = -127 + x. Is q a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -72 (b) 4.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -325, -19, -4.\nAnswer: -325, -19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1698*j**2 - j - 372. Determine s(0).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000110 (base 2) to base 12.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7901 + -7845. Solve -u*w - 16 = -60*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.88 + 0.48. Suppose 4*y - 9 = -j, 3*y - 20 = j - 8. Sort 3, h, j.\nAnswer: j, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32310 and 40?\nAnswer: 129240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:32 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:17 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 8 - 2. Let r be 1 + -2 - (-5 - t). Let a be 2\/1*3\/(-6). What is the nearest to a in 4, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.224 - 13.353. Let t = j + 0.029. Let y = t + -8.89953. What is y rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - -1.6. Let y = 2.5 - o. Let r = 1\/6 + -1\/30. Which is the nearest to -0.1? (a) r (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -2\/3*k**3 - 28 - k + 0*k**2. Determine b(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-4) + ((-9)\/(-54) - (-19)\/(-6)). Which is the nearest to 6\/17? (a) 3 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61480 divided by -116\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(4\/17)*n**(2\/25)*n)**(6\/13) assuming n is positive.\nAnswer: n**(5904\/5525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i + 59*i - 24*i + 2*i - 6*i**2 - 23*i + 164 in the form c*i + l*i**2 + j and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 478922 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238669015?\nAnswer: 5, 31, 229, 34897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4010087 * 1\nAnswer: 4010087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 99893070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x + 0*x - 4*x)*(x + x + 0*x) + (2*x + x - 2*x)*(2 - 2 + 2*x) + 0*x**2 + 0*x**2 + 3*x**2 in the form z*x + l*x**2 + u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1006 or -981?\nAnswer: -981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - -0.3. Let s = a - 2.4. Let h = -4 - 1. Sort -3, h, s in increasing order.\nAnswer: h, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1, 0.0572, 1\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 6*v**2 - 19*v + 121. Let y be d(6). Let f be (-1)\/(-2)*2 - -3. Solve y*r - f*r = -9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5372 is divided by 862?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -604\/7 - -5527\/63. Find the common denominator of z and 87\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -3*z**2\/2 + 11062. Let c(h) = 250*h. What is s(c(o))?\nAnswer: -750*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6780752.61 rounded to the nearest one hundred thousand?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1072*f + 1077*f - 15425 = 3*l, 3*l - 9231 = -3*f. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -46\/19625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4845411 and 39159?\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 10*q. Let u be ((-4)\/(-1))\/(((-72)\/(-45))\/(-4)). Calculate j(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 2007?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9955720?\nAnswer: 2, 5, 248893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 36 - 20 + (-3 + 2 + 0)*(2 + 4 - 5) - 1 - 1 + 1 + 4 - 4 + 1)*(-m**3 + 3*m**3 - 4*m**3) + m**3 - 2*m**3 + 2*m**3.\nAnswer: -97*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -40159 (base 11) in base 7?\nAnswer: -333165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1839*f + 3*d = 1853*f - 3703*f - 14, 0 = 2*f + 4*d - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 + 106. Let b(m) = -m**3 - m. Let h(s) = 10*s**2 - 10*s**2 - 1 + 2 - s + s**3. Determine u*h(x) + b(x).\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 - -181. Let h(w) be the third derivative of 0*w + 0*w**3 - 1\/15*w**5 + 6*w**2 + 0 + 1\/336*w**8 + 1\/24*w**4 + 1\/20*w**n - 2\/105*w**7. Factor h(b).\nAnswer: b*(b - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2317 - -2316.5. Let r(x) = -2*x - 4. Let f be r(-1). What is the closest to -1 in 3, -1\/5, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 33, -1, 0 in decreasing order.\nAnswer: 33, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s**4 - 3*s**2 - 2*s**4 - 1 - 22*s**4 + 23 - 19*s**4 in the form j*s**4 + z*s**3 + q + y*s + i*s**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -c - 0*c. Let l be (-6)\/c - (-27724)\/18. What is l rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*c + 513 - 120 = -621 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 8*a = -3*a + 16, -20 = 3*i + 2*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18595 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, 0.01, -3, -836 in decreasing order.\nAnswer: 0.01, 0, -0.2, -3, -836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8088 or -8071?\nAnswer: -8088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiieeaiiaaaaewiswxw. Give prob of sequence eaie.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*y = 1062 + 1842 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/60)\/j**(-1))\/(j\/j**(-16\/7)*(j*(j\/j**(-15)*j)\/j)\/j))**(9\/2) assuming j is positive.\nAnswer: j**(-23061\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 174, 0, 1364 in descending order.\nAnswer: 1364, 174, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-220))\/(1\/(-5))*8\/54\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z + 4 = 0. Let b be (-9)\/3*z\/6. Let j be -3 + 2*b\/3. Put j, 1, -4 in decreasing order.\nAnswer: 1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -24467500 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121810036 to the power of 1\/2, to the nearest integer?\nAnswer: 11037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 6 - 0) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 52 - -19)\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, and 2 d when four letters picked without replacement from {d: 7, k: 1, z: 9, m: 2}.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1915\/((-1425)\/(-90) + -15) is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -40 (b) -17 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 p when three letters picked without replacement from pfaqprd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/15 - (-1)\/(-6). Let w(z) be the third derivative of z**2 + 0 + 0*z + 0*z**3 + 0*z**4 - l*z**5. Let u(k) = -2*k. What is u(w(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1427 = 7*t - 3*t, 297 = l - 5*t. Let o = 295 - l. Calculate the remainder when 44 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.46 and 1?\nAnswer: 15.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2702 and 554682.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -34. Let r(p) be the third derivative of 0*p - 1\/3*p**4 + 1\/6*p**3 - 1\/60*p**5 + 0 - 4*p**2. Determine r(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1758 - 5358 = 24*s. What is the remainder when 9 is divided by 5\/(35\/(-2)) + s\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16674750 and 1125?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -85644, -172330, -259016, -345702, -432388, -519074?\n\"Answer: -86686*i + 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (909\/(-1818))\/(2 - 2*38\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**5 + 2*h**5 + 2*h**5)*(-13 + 25 + 20).\nAnswer: 64*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/((sqrt(160)\/sqrt(5))\/sqrt(8)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u + 5. Let m = -1013 - -1009. Calculate j(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-200)\/(-15) - -5)\/(1\/3). Suppose 5*q = 5*f + 205, -l*f + 60*f - 53 = -q. Put 2, 3, q in increasing order.\nAnswer: 2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272190030.\nAnswer: 2, 5, 11, 53, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + 2*m**2 - 3 - 103*m**4 - 3 + 6 + 71*m**4 as s*m**2 + k*m + g*m**3 + o + j*m**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -k - 3*p, 2*k - 2*p = -7*p - 13. Suppose 4*b - n = -2*n + 5, -b - 3*n = -15. Let r = -7 - -10. Solve 2*m - 16 = r*q, -m + b*m = 2*q - k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 18 + 30)*(5*y + 2*y**2 - 5*y) + 6*y**2 - 11*y**2 - 8*y**2 - y**2 + 2*y**2 - 3*y**2.\nAnswer: 165*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40.6 greater than or equal to 333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:46 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:03 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2629.1 + 2627.1. Sort -16, 11, f, 2\/17.\nAnswer: -16, f, 2\/17, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2646105 and 856515.\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9644, 9617, 9576, 9521, 9452?\nAnswer: 9369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 2*p - 30*p + 62*p**3 + 24*p.\nAnswer: 62*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 - (-5 - -6)) + 11 - 3) + -25\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 956*o + 4 - 13 + 995*o.\nAnswer: 39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 12025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*k + 20, -16 = -3*k + 2*r + 3*r. Suppose 2*m - 1203 = j + k*j, -2*m = 2*j + 802. What is j rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 2916.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -464*q + 29172 - 4526 + 8283, q - 2*x + 152 = 3*q for q.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 2:28 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 744*q**4 - 85*q**3 - 17*q**2 - q + 3328 wrt q.\nAnswer: 17856*q - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btmtsptmbtttwt. What is prob of picking 1 p, 1 m, and 1 w?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 2*c**2 + 3*c + 9. What is the tens digit of u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/5)\/j*j*j*j**(1\/18)*j*j*j*j**(-3\/10)*j*j**9*j*(j*j*j**3\/j*j*j**(-1\/3)\/j)\/(j**(1\/4))**(-29) assuming j is positive.\nAnswer: j**(4513\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.62229424 to three decimal places.\nAnswer: 0.622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179431.6 + -162694. What is w rounded to the nearest 100?\nAnswer: 16700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40, 20, -28, -116, -256?\n\"Answer: -2*c**3 - 2*c**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6979810 and 460?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9*(3 + -9) + 2. Let d = 56 + k. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-5\/8)\/s)*s)\/s*s**14*s)\/((s**(-18)*s)\/s*s**(22\/7)) assuming s is positive.\nAnswer: s**(1819\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 51*u**3 + u**2 + 3. Let i(y) = 153*y**3 + 3*y**2 + 8. Give 3*i(j) - 8*x(j).\nAnswer: 51*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 20. Let o be y(0). Let d = o - -13. Let u(s) = -s**2 - 11*s - 8. What is the tens digit of u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8266, -17623, -26980, -36337, -45694?\nAnswer: -55051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.6, 2\/11, 1 in increasing order.\nAnswer: 2\/11, 0.6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(684)*1.\nAnswer: -5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 19*y - 373. Determine b(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13580479 by -6.\nAnswer: 13580479\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 7510*f**5\/3 - 153284*f**4\/3 - 4541918*f**3\/3 - 2556068*f**2\/3 + 1806112*f\/3 - 18944\/3 = 0. Calculate f.\nAnswer: -16, -1, 8\/751, 2\/5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10924.993749 + 10925. Round n to 4 decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -269 + 819. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 4*q - 4. Let g be r(-4). Let m be (-5)\/2*10\/g - 1. Which is the fourth smallest value? (a) 5 (b) m (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*g - 20397 = -140*g + 105*g - 324*g for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -528 + 1019. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2\/4 + 175*n\/4.\nAnswer: -5*n*(n - 35)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21127995?\nAnswer: 3, 5, 7, 67073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 20322*d**2 - 162567*d - 30. Calculate v(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 67. Suppose g - 2*y = 3*y + l, 0 = -4*g - 2*y + 164. Suppose c = 2*x + 3*c - 56, -g = -x - 4*c. What is the greatest common factor of 36 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17170771.\nAnswer: 3191, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 10*q = -26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**3\/9 - 404680*q**2\/9 - 809348*q\/9 - 404672\/9 = 0.\nAnswer: -101168, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 - 40*y**2 - 61*y - 538. What is x(16)?\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**3*q**4 - 4*k**3*y**2 + 106*k*q*y**2 + 27*y wrt q?\nAnswer: -8*k**3*q**3 + 106*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p - 2. Let w be y(-3). Let z(j) = w*j - 1 + j - j. Let n(f) = f**3 + 3*f**2 - 7*f - 10. Let l be n(-4). Give z(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 8*p**4\/5 + 258*p**3\/5 + 152*p**2 + 174*p\/5 = 0.\nAnswer: -29, -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) -0.5 (b) -0.2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 6*f**2 - 7*f + 1. Let o be d(-7). Let l be (o + -61)\/((-6)\/8). What is the highest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 3*z - 30. Let t be i(-4). Let j be (0 - t)*(-3)\/6*-31. Solve 0 = -c - 3 - 2, 3*n + j = -5*c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d + 11. Let m(j) = -3*j - 6. What is 3*g(f) + 5*m(f)?\nAnswer: 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**4 + 36*a**3 + 129*a**2 + 90*a = 0.\nAnswer: -2, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from aqqkx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -790*l**6 + 2469*l**2 - l**3 + 1860*l**2 + 151*l**6 + 1580*l**2 - 1025*l**2 wrt l?\nAnswer: -76680*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.394 rounded to 1 dp?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6001 + g**2 - 6001 - 16*g**2 + 33*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 3, s: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 29*x**2 - 3*x - 65. List the prime factors of b(-31).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 778265, 778239, 778213?\nAnswer: 778187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 3*p**2 - 3*p - 1. Let z be l(4). Suppose -z*q + 2*t = 2, -3*q - 4 + 1 = -3*t. Suppose q = -d - 0*d + 69. What are the prime factors of d?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 981 = -2*i, 4*x - 2*i - 1291 = -5*i. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 14 = 4*f, 3*d - 770 = f + f + 4*d - 778 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 76*q + 58. Let f(h) = 28*h + 29. Calculate -3*c(y) + 7*f(y).\nAnswer: -32*y + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4294.974 micrometers to meters.\nAnswer: 0.004294974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4024 + 4030. What is the third smallest value in c, 0.4, 1\/7, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15769951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 - -102. Solve j + 12 = 4*i - c*j, -5*i - 3*j = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, q: 4, z: 2, n: 6}. Give prob of picking 2 q and 1 n.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 2*a**2 + 1 - 5.\nAnswer: 2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 73 + 722136*g**2.\nAnswer: 722136*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a06 + -275?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 4*h**2 + 11*h - 28. Determine c(4).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3877.31\nAnswer: 3880.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 - (-4131)\/102) + 69\/66.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4118571*p*w - 794*p - 1258 wrt w.\nAnswer: 4118571*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-62)\/(-20) + (-27)\/54. Which is the nearest to 1? (a) f (b) -0.5 (c) 0.5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 374\/3, -1\/4, 0.8?\nAnswer: 374\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + h - 90 + 85 = 0, 2*h = -4*v + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61098 = 49*b + 6120. What are the prime factors of b?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1 + (-12)\/(-4)). Suppose v = 8*x - 12*x + 24. Solve 0 = 6*r - 3*r + x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -2\/5 in decreasing order.\nAnswer: 10, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -6490.57\nAnswer: 12981.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-5)\/3 - ((-51)\/(-9))\/17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 + 0.2. Suppose -14*a = -17*a - 16 - 2. What is the fourth biggest value in r, 3\/2, a, -5\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/12 + h**3\/2 - 5*h**2 + h. Let x = -8 + 1. Let l be t(x). Solve 5*j + 2 = 3*j + 5*o, 0 = -3*j - 3*o + l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7612, 15189, 22766, 30343, 37920, 45497?\nAnswer: 53074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.623 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -272695 - -4?\nAnswer: -272691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -16.1. Which is the nearest to 2\/9? (a) u (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(142 + 2)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**4 - 2100*k**3 + 16508*k**2 + 18612*k = 0.\nAnswer: -1, 0, 9, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qclhplpkk. What is prob of picking 2 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, i: 5}. Give prob of picking 4 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -42119884580 to the nearest 1000000.\nAnswer: -42120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7695 is divided by 171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187185, -186999, -186813?\nAnswer: -186627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 653456777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -64, 1181, 0.5, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9327 - -0.0673. Let s = -52 - -363\/7. Put s, -2\/5, m in descending order.\nAnswer: m, s, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1 - 3. Let z be (h - -1)*8\/(-6). Suppose -z*r = -67 + 3. What is the highest common factor of 176 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7408*x + 51860. Determine c(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*x**3 - 131*x**3 - 6*x**3 + (-x - x + 3*x)*(-2*x**2 + 0*x**2 - x**2).\nAnswer: -218*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 327 - 314. Calculate the remainder when 1\/(1\/1)*38 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5283 - 28638 = 4931*v + 9730 + 10590 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.29*0.08.\nAnswer: -0.1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-85))\/((8\/(-12))\/(12\/(-9)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 160*l**2 - 155*l**2 + 313*l**2 + 5*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 6*a + 13. Let c be d(-7). Calculate the greatest common divisor of c and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66970 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -8*d + d. What is the third derivative of -9*c**6 - 13*c**6 - d*c**6 + 17*c**6 + 6*c**2 wrt c?\nAnswer: -1440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqf when four letters picked without replacement from {f: 2, q: 10}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 6 = -2*a. Let x be 1 + 0 - 46\/a. Let q be x\/(-18)*(-6)\/(-4). Is 1\/3 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/5 (b) 1\/12 (c) 0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is bb (base 16) in base 14?\nAnswer: d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*f + 41 - 132, 0 = 5*q + 3*f - 84. What is the greatest common divisor of q and 32928?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:05 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -4*x**3\/9 + 8*x**2\/3 + 11. Factor h(y).\nAnswer: -4*y*(y - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*z + 1 = 0, -z - 71 + 69 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (196\/1512*18)\/(-2*(-5)\/(-30))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -155.96 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -648 divided by -460388?\nAnswer: 162\/115097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6516 is divided by 387?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -14 - -2) + (19 - (9 + -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1277380*l**2 + 254109 with respect to l.\nAnswer: 2554760*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by -6.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*q = -15, z + 6*q + 10 = 2*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + a - 202 + 220, -3*a = 4*r + 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 + -304. Let f = c - -134. What is the remainder when f is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 9303 = 18597 - 9299 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 4*o - 2*u, 26835965 = 2*o - 5*u + 26835879 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 4\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -13*k + 18*k. Let l(b) = b**3 + 4*b**2 + 5*b + 2. What is l(k)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3507712 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5115 - 5221 - (13 - 2).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 68*t**2 + t + 2. Let z be f(-1). Let g = 260 - z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3274689*t**2. Let u(p) = 7*p. Determine u(l(f)).\nAnswer: 22922823*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/60 - p**4\/3 - p**3\/3 - 4*p**2. Let m be w(-7). Let u be -5*(0 - 4\/m). Let n(r) = -r - 2. Determine n(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*w - 123*w - 130*w + 8 - 14 - 134*w + 19.\nAnswer: 2*w + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, x: 1, o: 1, z: 1, v: 2}. Give prob of sequence xvzo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/5448)\/((-44495)\/24270).\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.91 + -27.909. Let s = 179 - 179.0119. Let x = r - s. Round x to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/2*(-3 - -1). Let l = x + 42. Solve l*y + 12 = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + (-2 - -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -19. Put -1\/3, l, 4, 0.2 in increasing order.\nAnswer: -1\/3, 0.2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o + 24 = -3*q, 2*o - 14 = q. Solve 4*z = o*z + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4cc + -24e4?\nAnswer: -29b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2327\/(-62829)*(-567)\/154?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -173 + 179. Let u(v) = v**3 - 7*v**2 + 3*v - 3. Determine u(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15166415 and 15166415?\nAnswer: 15166415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 61*v**2 + 3*v - 11. Let y be -12 + (-10)\/(10\/(-3)). Is q(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -42 + 22 + 13 + -2\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -10 (c) 0.4 (d) 3 (e) 1\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7004499*l**2\/2 - 3*l\/2.\nAnswer: 3*l*(2334833*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 12*h - 5\/6*h**3 + 1\/2*h**2 + 0. What is the derivative of y(w) wrt w?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -795 and -74.\nAnswer: 58830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/3, 3\/13 in increasing order.\nAnswer: -1, -2\/3, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 5*c + 59. Calculate l(0).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 12 = 4*g - 2*t, 4*t - 12 = 0. Suppose 0*x + 5*m = 2*x + 1, -5*x + m + 9 = 0. Suppose 0 = -5*w + 7*w - 40. Solve -x*s + w = -g*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 48 = -44*c + 12*c. Let 1\/6*l - 1\/2*l**c + 1\/6*l**4 + 1\/3 - 1\/6*l**3 = 0. What is l?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2 - 4. Sort k, -3, 1 in descending order.\nAnswer: 1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -244*a*v**2*z**3 + 9*a*v**2*z**2 - 24*a*v*z**3 + 2*a*v*z**2 - 29*a*z**3 + 3*v**2*z + 2*z**2 wrt v.\nAnswer: -488*a*z**3 + 18*a*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 35 + ((-2 - -1) + 3 - (-33 + 39))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 82662.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 2*q + q**2 + (2*q + q - q)*(-6*q + 3*q + 4*q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -65*v**2 - 33136*v + 7146. Give f(-510).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqy when three letters picked without replacement from cqnqynnvvnnvvvqnyn.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-75)\/50)\/((-1)\/30) and (-6)\/10 - (-384)\/15.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 514842 (base 14) to base 7\nAnswer: 32201512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 336\/144*1*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose q = y - j*q, 0 = -2*q. Suppose -3*x + 83 = 5*b, y*x - 4*x - 28 = -2*b. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309865\/45 - (-3)\/27 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4755523 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13f + 1?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**4\/4 + 5*n**3\/3 - 4*n**2 - 7*n - 32. Give d(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200718?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(3 - 3 - 2)*(3 - 3 - 2*z)*(4*z - 2*z - 3*z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5}. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2867, 11439, 25719, 45707, 71403?\n\"Answer: 2854*f**2 + 10*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(320)\/sqrt(40).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 5*o = 9. Suppose 3*c - o + 3 = 0. Suppose -2*j - f = 12, 0 = -3*j + 7*j - c*f + 16. Let d(x) = -x**2 - 7*x - 5. Calculate d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p - 2*p - 4*p - 12*p**3 + 3 to the form q*p**3 + a*p**2 + v + w*p and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29656.\nAnswer: 2, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u + 30 = 0. Let h = u + 6. Solve 3*k + 5*s + 3 + 1 = h, 0 = -4*k - s + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 16*v**3 - v**2. Calculate the lowest common multiple of k(1) and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (43 - 10)) + (5 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Suppose -50*a = 10 + 240. What is the nearest to q in 3, -1\/5, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -1\/159 (c) -2\/7 (d) 38313\/4 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4532 and 789598.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 2*a - 8. Does 3 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3178 times 0.057?\nAnswer: -181.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47781.\nAnswer: 3, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 + -13?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81271055*g**3 + 3 + 81271054*g**3 - 162542115*g**3 - 3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 3:59 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 22 = -28. Suppose m - 5*y + 14 = -2*y, 22 = -t*m + 5*y. Let l = -2 - -7. What is the smallest value in 0.2, m, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -0.002 (c) 4065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5799066 meters to micrometers.\nAnswer: 579906.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 10. Let f = 28 - m. Let j = -12 + f. Which is the closest to j? (a) 2 (b) -1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/1486 - -871519\/5944. Let p = a + -147. Let l be ((-53)\/(-371))\/(2\/56*2). Put -2\/5, l, p in ascending order.\nAnswer: -2\/5, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*b - 79*b + 23*b to x*b + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000988468 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 721427 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 5, 3 in ascending order.\nAnswer: -0.03, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/8 (b) 0.4 (c) -0.2 (d) 132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*d + 24562, -2*q - 61*d = -59*d - 24570. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y = -8, 5*y = -4*x + 30. Let k be (6\/(-18))\/(x\/(-6)). Suppose 5*i - 24 = 4*p - 0*p, -4*i = -2*p - 18. What is the smallest value in 0.4, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14198801 divided by -5113.\nAnswer: -2777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = -15 + 80. Let t be (1 + 0)*(1 + 0). Let w = t + n. Solve -2*k + 8 = -w*v + 2*v, -5*k - v = 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*u - 9 = 0, -7*p + 19 = -6*p + 4*u. What is the fourth smallest value in -1\/7, 0.1, p, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64173217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Put 74, 3, 162, -4 in descending order.\nAnswer: 162, 74, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -164722018 and -164722019 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.56 - -0.5. Let z = m + 0.36. Let d = -28 - -142\/5. What is the smallest value in d, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 2\/3*m**3 + 25\/12*m**4 - 18*m**2 + 0 + 0*m. Is s(5) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -17*r**6\/6 - r**5\/5 + 5*r**3\/3 - 9*r + 1883. What is the third derivative of m(l) wrt l?\nAnswer: -1020*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, -99, -60 in increasing order.\nAnswer: -99, -60, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21093159 a multiple of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*l + 17 = -6, -l = 3. Let w = b + 26. Suppose 0 = -5*c - 3*u + w, -2*u + 21 + 27 = 4*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*y - 0*y - 2, -3*y = -3*s + 18. Suppose 2*q = -5*l - 17, -l = s*q - 1 - 2. Solve 36 = q*b + 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72.7702 or -2\/1175?\nAnswer: -72.7702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, -4\/9, -0.12, -0.2 in increasing order.\nAnswer: -3, -4\/9, -0.2, -0.12, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7 + 9*g + 24*g - 14*g - 9*g - 6*g.\nAnswer: 4*g - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, 44, 134, 274, 470, 728?\n\"Answer: i**3 + 16*i**2 - 9*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7727416*i**2 - 8305*i**3 + 7727416*i**2 + (2*i**3 + 2*i**2 + 4*i**2 - 4*i**2)*(5 + 1 + 0) to t*i + b*i**2 + a*i**3 + y and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0 - (104 + -128)) + -56.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 73 = -2*x + 11, 4*x - 4*f - 144 = 0. Suppose -2*i + x = -n - 5*i, 4*i - 54 = 2*n. Let r = -19 - n. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.011*-2.6.\nAnswer: 0.0286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 481*p**6\/20 + 949*p**4\/12 + 1900*p**2 + p. Find the second derivative of t(l) wrt l.\nAnswer: 17316*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 2, z: 1, a: 1}. Give prob of picking 1 z and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 13. Let f(k) = k - 13. Let u(w) = -6*f(w) - 5*v(w). Calculate the remainder when u(16) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 331082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 2943?\nAnswer: 23544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-60)\/(-35))*-6*(-8)\/(504\/147)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = -2. Suppose 4*o - 26 = w*q, -5*q + q + 12 = 0. Solve -o = -2*h, c = -0*c + 4*h - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4114982.65380083 - -4115171.6538. Let p = 9.3 - 198.3. Let o = d + p. Round o to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k + 0*k + 645269*k**3 - 26 - 645272*k**3 to the form j*k**2 + a + p*k**3 + s*k and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = a - 3*a + 9712, 0 = -2*m + a - 6473. Let o(g) = -5334*g - 1. Let j be o(-1). Let t = j + m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9 + 2\/9*n**2 + 4\/9*n.\nAnswer: 2*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -15. Let o = -4 - y. Suppose -q = -o, -5*t + 534 = 5*q + 139. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/4 + 6*m**3 - 15*m**2\/2 + 39*m + 32. Is h(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*p - 5*u, -3*u + 3 = -0*u. Suppose -3*v = -p - 5. Suppose -315 = -5*o + 3*m, -m + 305 = 5*o - v*m. Round o to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155*d - 149*d + 36 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2275 + -2275.0128. Round t to 4 dps.\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6154\/(-3 + 7 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 93*u**2 - 1 - 46*u**2 - 227*u**2 in the form l*u + b + g*u**2 and give g.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(4 + (0 - 3)). Let p = 5 + x. Put 0.3, p, -2 in ascending order.\nAnswer: p, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*o - 2*a**2 - 8656*a*o**2 + 5*a*o - 1412*o**2 + 202 wrt a.\nAnswer: -4*a*o - 4*a - 8656*o**2 + 5*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aauuua. Give prob of picking 2 u and 2 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 584653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 296?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 1:44 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(2) + sqrt(2) + sqrt(2)*1))\/(4*sqrt(6)\/sqrt(3)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/3 - 22*b**4 - 49*b**3 + 736*b**2\/3 + 272*b = 0. What is b?\nAnswer: -4, -1, 0, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2181259036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(5\/(-120))\/((-30)\/(-24)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-22)\/24)*(5 - 8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y - 27. Let h = y + 18. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -137 (b) 4\/405 (c) 1 (d) 0.1 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 15 = v + g, 2*v - 4*g - 26 = 0. Suppose 184 = -4*m + 4*s, 4*s - 204 - 22 = v*m. Let b = m - -48. Solve 2*t = -0*t - b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -780207.7 - -0.2.\nAnswer: -780207.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 3 - (-8 + 1). Suppose 2*v - 14 = 11*i - 15*i, 5*v + 10 = 5*i. Let h be 0\/49*2*v\/2. Solve h = m*a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t - 2. Let u be d(2). Suppose 3*k - u = -g, -k + 28 = 6*g - g. What is the third derivative of 7*a**2 + 5*a**g - 3*a**4 + 3*a**4 + 0*a**4 wrt a?\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 9*i**2 + 6*i + 19. Let h be d(8). What is the second derivative of 2*w - w**3 + h*w + w - w wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/8 + q**3\/4 - q\/8.\nAnswer: -q*(q - 1)**2*(q + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 288879240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 60 + 7714\/(-152)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 905\/266 + -24\/7. Let x = -73\/114 + v. Put -3, x, 0.1 in decreasing order.\nAnswer: 0.1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3 + (-7)\/3. Let w be -3*q\/(36\/(-16)). Let s(v) = -2*v + 2. Determine s(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 times -1.284?\nAnswer: -71.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.362 - 0.238. Let r = 508 - 513. Sort 3, 2\/5, r, n.\nAnswer: r, n, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5653 - 3183. Let h = 4095 + u. Let y = -2964 - h. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1017720\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + z - l = -1, 2*l + 8 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*q - 3*s, 2*q + 0*q + 2*s = 86. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1556 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -8. Let n(m) = q*m**3 - 49 + 49 + m. Let l(k) = 5*k**3 + 3*k. Let s be (-3)\/(0 + 6\/16). What is s*n(r) + 3*l(r)?\nAnswer: -r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + -5 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100100 + -30?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h - 19. Let c be s(-8). Suppose c = -3*t + 1. Which is smaller: -18\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -456, -412, -282, -24, 404, 1044, 1938, 3128?\nAnswer: 4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)\/p)**(-8)\/(p**16\/(p\/(p*p**(-16)*p))))**8 assuming p is positive.\nAnswer: p**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfb when three letters picked without replacement from boyybooofy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(-44))**9\/((d**5\/d*d*d**(3\/4))\/(d\/d**(-2\/7)*d*d\/(d\/d**(-8)))) assuming d is positive.\nAnswer: d**(10767\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-1*sqrt(10))\/sqrt(5) + 1 + sqrt(8)) + -1)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1298.2 + -5.\nAnswer: 1293.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/16 or 1?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -844.7 + 845. Let i = 37 - 23. What is the nearest to -2\/3 in 0, i, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 12:16 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 38 + 49 - 3*z + 7*z**2 - 80. Calculate the remainder when g(2) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 107.\nAnswer: -9.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhohofoo. Give prob of picking 1 l and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 417939 + 47?\nAnswer: 417986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2754.2 + -2754. Let x = 326\/55 - 52\/11. Which is the second smallest value? (a) -0.4 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85 - (-11 + 102)) + (-2 - -5 - -24) + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 0*u - 146 + 145. Let t(o) = o**3 + 3*o**2 - 2. Let l be t(-2). Let x(q) = -12*q**3 + 2*q + 1. Let s(i) = l*w(i) + x(i). Give s(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2872 + 2?\nAnswer: -2870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -189961, -381115, -572269?\n\"Answer: -191154*m + 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 4:24 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.96km to meters.\nAnswer: 22960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -14*n**3 + 8*n**2 + n - 1. Let z(w) = -12*w**3 + 6*w**2. What is 2*v(c) - 3*z(c)?\nAnswer: 8*c**3 - 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29596248 + -1414.\nAnswer: 29594834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + b + 14 = 0, -2*b + 3 = 3*f - 13. Suppose s = f*s - 93. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 10 = -4*s, -123*p + 126*p = 3*s - 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*p + 5 + 6085, k = -4*p + 8105. Which is greater: 2028 or p?\nAnswer: 2028","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 6*v**2 - 3*v + 6. Let h be m(6). Let g = -14 + 12. Let j be ((-10)\/(-15))\/(g\/39). Are j and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 16 = -2*c. Let z be c\/1 + 56\/7. Find the third derivative of -5*v**4 + 11*v**2 + 2*v**4 - 7*v**z + 0*v**4 wrt v.\nAnswer: -240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7036106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -613 < -14116\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*d = -682, 26*l + 229 = 27*l - 3*d. Let j = -226 + l. Factor j + 4\/7*k**5 - 8\/7*k**4 - 4\/7*k + 8\/7*k**2 + 0*k**3.\nAnswer: 4*k*(k - 1)**3*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 7*j - 13. Calculate the least common multiple of g(-9) and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-225)*9*((-70)\/3)\/5.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 844.05 - 922.0574. Let q = 78 + f. What is q rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*l + 4 - 24, l - c - 4 = 0. Let s = 8 - l. Suppose -o + 6 + 10 = s. What is the highest common factor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20561316 (base 7) to base 6\nAnswer: 101231250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**4 + 11*i**2 - 40*i wrt i?\nAnswer: 84*i**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 474*t**3 - 1428*t**2 - 1430*t - 477.\nAnswer: (t - 477)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/10 - n**4\/2 - 35*n**3 + 539*n**2 + 245*n - 2. Factor g(k).\nAnswer: 2*(k - 7)**2*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 2*r - 3. Let q be h(-2). Let j = q - -21. Suppose 0 = 5*n - j - 6. Solve n*b - 20 = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 28*o - 50. Let f be j(11). Solve -12 = -4*x - 4*l, 3*l - f = -l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 13444 divided by 3361\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -188845908*p**5 + 65*p + 731677 wrt p?\nAnswer: -3776918160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:04 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21175\/368 - -1322\/23. Let n be ((-12)\/210)\/(2\/(-10)). What is the closest to n in 3, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*3*(sqrt(204) - sqrt(204)*2))\/(4*(sqrt(12) - ((sqrt(12) - sqrt(108)) + sqrt(12)))*-5).\nAnswer: -27*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.92 + -4. Let z = 3.08 + s. Which is the smallest value? (a) 0 (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2461301100 to the nearest 100000.\nAnswer: -2461300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 - -20. Let u = y - -335\/6. What is the nearest to 2 in 0, -0.7, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209 + 122. Factor 331 + 2*o - 2*o**2 - t.\nAnswer: -2*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {i: 2, c: 5, f: 12}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20483.\nAnswer: 20483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 29. Let y = -301 + 301. Let r(i) = 235*i**2 - 469*i**2 + y*i + 235*i**2 + 0*i. What is l(r(k))?\nAnswer: -k**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 34*b - 2. Let i be r(18). Let x(a) = -i - 23 - 2*a**2 + 19*a + 37. Calculate the lowest common multiple of x(8) and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(187)*1 - sqrt(187)))\/sqrt(11) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 12*b - 21. Let p be s(-14). Suppose -9 = -2*y + l, -5*l - 12 - 3 = 0. Suppose p*v - 6*v + y = 0. What is the closest to 1 in -1\/6, -13, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**2*s + q**2 + 438*s - 306 wrt s?\nAnswer: q**2 + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121732 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (5 + (sqrt(1584) - (-4 + sqrt(1584))))*5*1 + -4 + -1)**2 + 4.\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a - 5*a**2 + 5 - 4 - a**3 + 2*a. Let y(p) = p**3 + 6*p**2 + 4*p - 1. Let i be (18\/27)\/(2\/12). What is i*x(d) + 3*y(d)?\nAnswer: -d**3 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 6*t - 3. Let h be g(-5). Suppose -2*o + 44 = h*o. What is the remainder when 21 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510016457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(1\/7)*j)**(3\/8) assuming j is positive.\nAnswer: j**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 21 - 27. What is the remainder when (4 + 0)\/(-2) - -59 - -1 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -455?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1364 - 906. Is d a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 11029.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-36) + 58\/12. Let j be 2*5\/(-10) + -3. Sort 0, j, y.\nAnswer: j, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 - 7*t**2 - 3*t - 8. Let x(b) = 7*b**3 - 15*b**2 - 5*b - 17. Let d(p) = 5*u(p) - 2*x(p). Calculate d(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*f**2 - 7*f + 10480?\nAnswer: 84*f - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1068*k - 2\/3*k**2 - 427734.\nAnswer: -2*(k - 801)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14057 is divided by 5276.\nAnswer: 3505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422284 is divided by 457.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/3919?\nAnswer: -14\/3919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1682 divided by -404\nAnswer: -841\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-560)\/(-1400)*105\/12?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 0 + -4*sqrt(833) - ((-2 + -1*sqrt(17) - (sqrt(17) - (5 + -1*sqrt(17)))) + -2)) + 5)**2.\nAnswer: -150*sqrt(17) + 10634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1905631 divided by 559\nAnswer: 3409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -404, 1090, 6354, 17266, 35704, 63546, 102670, 154954?\nAnswer: 222276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 3*a - 1. Let l(d) = 4*d**3 - 7*d - 257. Calculate l(c) + 2*o(c).\nAnswer: 2*c**3 - c - 259","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 6*q + 0*q)*(0 - 1 + 0).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442432?\nAnswer: 2, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*d*m**2 + 5*d*m - 18*d + 17*m**4 - 6*m - 188734 with respect to m.\nAnswer: 168*d*m + 5*d + 68*m**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7)*-2 - 1\/((-70)\/104)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -17. Which is the closest to i? (a) -3\/5 (b) -1\/2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {b: 5, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.4403\nAnswer: -2.2015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmk when three letters picked without replacement from vkmzxpm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 25 = -5*i. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*p**2 - 1 + p**2 to y*p**2 + k + c*p and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 - 143.75414?\nAnswer: 309.24586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122\/(-4))\/((-55)\/(-1430)*13).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -5 in descending order.\nAnswer: 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1362 - 52?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b87 (base 14) in base 8?\nAnswer: 37173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8325516 is divided by 5722?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 325\/100 - (-6)\/8. Let l be 15*(-3)\/(-3) - (-12)\/v. Calculate the greatest common factor of l and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 5, t: 3, b: 3}. What is prob of sequence bry?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 45, -5, -19, 12, 0 in decreasing order.\nAnswer: 45, 12, 2, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Suppose -8 + 12 = 4*w. Which is the biggest value? (a) 2\/7 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 13*r**3 + r**2 + 2*r + 7. Is b(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2 (c) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. List the prime factors of (-12)\/8 + 46\/w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4581574 is divided by 416502.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2. Suppose -2*i - 5*i + 686 = 0. Let r(n) = -98 + n**2 + i. Calculate r(g(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 15*i**3 - i. Let n be a(-1). Let q(v) = 13 - 67*v + v**2 + 20*v + 25*v + 23*v. Is q(n) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156166, 312331, 468496?\nAnswer: 624661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + sqrt(931) + 2*sqrt(931)))**2 + -2*(sqrt(931) - (sqrt(931) + sqrt(931) + -2)*1)**2.\nAnswer: -7504*sqrt(19) + 300674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -182 in -1, -0.151, -2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 233521 (base 6) to base 13\nAnswer: 9301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-1) - 2)*1. Suppose u*p - 6 = p. Suppose 0 = -i - 4*x + 4, 3*x + 14 = 17. Which is the closest to p? (a) 0.1 (b) 1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -895 divided by 31706\nAnswer: -895\/31706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 + -0.6. Let o = t - -5. Let i = -4\/57 - -248\/285. What is the second biggest value in -3, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(10*x - 3*x + 4*x)*((3*x - 2*x + x)*(0 - 1 + 0) - 1 + 1 - x).\nAnswer: -99*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 1. Let g be z(-5). Let c be (-3)\/1 - (5 - 7 - -211). Let f be c\/(-53) - (-1)\/(-1). Solve -f*h = -4*m + 4, 0 = -3*m - 4*h + 2*h - g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.89 - 37.89. Which is bigger: x or -134?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8931864 tonnes?\nAnswer: 893186400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 10 (b) 2\/3 (c) 0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2077080*t**2. Let b(s) = -s - 39. Give b(o(m)).\nAnswer: -2077080*m**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 4 (c) 0.3 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -116, -481, -1110, -2021, -3232, -4761?\n\"Answer: -3*d**3 - 114*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 - 265 + 131 - 12*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + (2 - 4) - 3. Suppose a = -j - f + 17, -j + 25 = -0*j - 3*f. Calculate the remainder when j is divided by (0 + -2)*(-33)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/764 + -1563\/5348. What is the closest to 2 in -188, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200294 and 16813.\nAnswer: 4606762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 564 and 2476146?\nAnswer: 232757724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 867641508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*510\/9520)\/((-6)\/(-22))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192 - 8*i + 6*i + 203 - 165.\nAnswer: -2*i - 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -417, -480, -591, -768, -1029, -1392, -1875, -2496?\n\"Answer: -3*s**3 - 6*s**2 - 24*s - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 7*h + 21. Calculate the remainder when p(-18) is divided by 87.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3683.\nAnswer: 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14, 153, 169, 1 in decreasing order.\nAnswer: 169, 153, 14, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 552489072 to the nearest integer?\nAnswer: 23505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*t + 6, u - 5*t + 9 = -9. Let y(v) = 2*v**u + 2*v + 8*v**3 + v**3 - 10*v**3. Determine y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4052, 16342, 36884, 65678, 102724?\n\"Answer: 4126*h**2 - 88*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 10, u: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykykky. Give prob of picking 2 y and 2 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 11. Let o be z(-5). Suppose -5*n + f - 174 = 0, 5*n = 2*f - o*f - 154. Let m = n + 36. Solve 0 = m*x - x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.05, -0.1, -1\/2, 25\/253 in ascending order.\nAnswer: -7.05, -1\/2, -0.1, 25\/253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 1, p: 4, z: 6}. Give prob of picking 1 p and 2 z.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) - 4\/(-6). Suppose -11*a + 4032 = -2*a. Let s be ((-6)\/(-8))\/(2184\/a). Put s, -3, d in descending order.\nAnswer: s, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 1. Let d(i) = -3*i + 2. Let t(y) = -y**3 + 5*y**2 - 7*y + 9. Let r be t(4). Calculate r*d(u) - 5*b(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 5:57 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 669.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3761 + 1391 = 2*b. Does 28 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 12*n + 18.\nAnswer: 2*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7331*r = 7293*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 + 2*x**3 - 2*x**3 + (x + x**2 - x)*(x - 3*x + 0*x) - 2*x**3 + 8*x**3 - 4*x**3 to the form p*x + g*x**3 + j + d*x**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 1. Let j be 294\/63*(-12)\/(-14). Suppose -b = r + r - 9, 4*r = -4*b + 32. Put j, d, b in descending order.\nAnswer: b, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -495249 divided by -3\nAnswer: 165083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2, -2\/17, -39, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-210)*-7)\/(180\/(-1200)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/(-494) - (13 + 5648\/(-104))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let x be f(-4). Suppose -3*y = -n - 2, -y + 37 = -5*n + 55. Sort n, 1, x.\nAnswer: 1, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x - 69. Let q(l) = -3*l + 17. Let b(p) = 2*d(p) + 9*q(p). Let k be b(15). Let -2*j**3 + k*j**3 - 64*j - 2 + 66*j + 2*j**2 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -24.3 and 0.0436.\nAnswer: -24.2564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-3))\/((-24)\/(-88))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*k - 0*k + 19, 4*k = 12. Let f(z) = -10*z + 6*z - g*z - z**2. Let b be f(-9). Solve b = -2*n + 4*c + 22, -c + 7 = -0*n + 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5877, -23722, -53465, -95106, -148645, -214082, -291417?\nAnswer: -380650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 12 - 0. Let l be a*(-10)\/3*1. Let o = -58 - -60. Solve -o*y = -0*y - l, 0 = -f + 2*y - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 11*j + 13)*(4*j**2 + 0*j**2 - 5*j**2)*(3 - 5 + 3 - 5*j)*(-49*j - 26*j + 42*j).\nAnswer: -1815*j**5 + 363*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 40 = 15*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (387\/(-43))\/((-2)\/22). Solve m*l + 4*l = -515 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77497 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 624*m**2 + 1684*m + 136.\nAnswer: 4*(12*m + 1)*(13*m + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 207309.02 to the nearest 100.\nAnswer: 207300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - j. Let o be i(-8). Let y(z) = 10*z - 3. Calculate the remainder when y(3) is divided by (5 - 2)*o\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/6 - 5) + (-6)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166506, 166343, 166178, 166011, 165842?\nAnswer: 165671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15*v**2 + 38*v + 383. Let l(g) = -8*g**2 + 19*g + 197. Let y(q) = -7*f(q) + 13*l(q). Let y(a) = 0. What is a?\nAnswer: -5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**3 + 3*x**2 - 3*x - 2. Let n(y) = -8*y - 189. Let i be n(-24). Let p(h) = -h**2 + h. Calculate i*p(q) + a(q).\nAnswer: -3*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3, 1, 9, 21, 37?\n\"Answer: 2*m**2 - 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764009 is divided by 152795.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*g**2 + 18713*g - 18713*g.\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.9? (a) 0 (b) 20 (c) -0.5 (d) -0.3 (e) -0.2 (f) -0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23250 divided by -62\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**2 - 3*r - 4. Let j(m) = 9*m**2 + 7*m + 8. Let n(z) = 5*a(z) + 3*j(z). Factor n(x).\nAnswer: 2*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -68c77 + 2?\nAnswer: -68c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r**2 - 291*r - 11. Determine s(-8).\nAnswer: 1485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 = h, -4*x = -3*x - 3. Let u(l) = -l**3 + 3*l**2 - 6*l + 6. Let m be u(5). Calculate the remainder when h is divided by m\/(-14) + 0 - 4\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (31\/4)\/(52\/8) and -101\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79204 is divided by 1321?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150940*q + 150886*q + 864 = 0 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 5*w**2 + 6*w - 2. Let h = -194 - -202. What is the smallest common multiple of h and z(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 56, 0.0389, -1814?\nAnswer: 0.0389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 148*s**2 - 1346*s + 938. Determine t(9).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4437 + 7166. List the prime factors of d.\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.1 (b) -4 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.8 + -16. Let i = g + -2. Let s = -4126.9 - -4127. Which is the nearest to s? (a) -4 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13109\/1236 + -135\/103. What is the common denominator of -37\/990 and w?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i - 5*i - 5*i)*((2 - 2 + 2*i)*(-1 - 3 + 2) + 7*i - 2*i + 12*i).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23445991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwvdoxw. What is prob of sequence xv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171) + sqrt(171)*1))\/sqrt(9) - 4*-5*sqrt(57)\/sqrt(3).\nAnswer: 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 2*r**3\/3 - 3*r**2\/2 + r - 8. Let x be a(3). Factor 6*b**3 - 7*b**3 + 4*b + x*b**2 - b**5 - 4*b**4 - 4 - 1 - 3.\nAnswer: -(b - 1)**2*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 - (-1 + (-3 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-24)\/((w\/(w\/w**39*w))\/w))\/((w*w**(-15))\/w**(-28)) assuming w is positive.\nAnswer: w**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1268 - 582. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*t - 8, -3*n + 5*n - 4 = -4*t. Is -2 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26261585 take away 1073?\nAnswer: -26262658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 15. Let s be 72\/(-45)*5\/(-1). Let b be (-8 + 2)\/(6\/s). Let n(a) = 5. Let l(x) = b*n(x) + 3*f(x). What is the first derivative of l(p) wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/140 + 5*k**4\/56 + 18*k**3\/7 + k**2 - 41*k. Factor q(o).\nAnswer: -3*(o - 9)*(o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 0, 2*g + 9 = 5*k + 45. Suppose 2*i + 8 - g = 0. Determine c so that c**2 + 5*c**2 - 3*c**2 - c - i*c = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.042 - 0.042. Let g = 22 - j. Let c = -177 + 180. What is the nearest to 2 in c, -2, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3726932 divided by -1\nAnswer: 3726932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*-23*2132\/(-4264)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20907*r**2 - 11 - 2 + 13.\nAnswer: -20907*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 2*o**2 - 1\/3*o**3 + 0*o + 1\/6*o**4 + 0. Find the first derivative of d(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 75.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 1)*(-16)\/48. Suppose c + k + 25 = o*c, -4*c + 55 = 5*k. Calculate the smallest common multiple of 125\/c - 1\/4 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*k - 0*k + 11, 8 = 4*k - 3*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = -t + 19, -4*t = 3*r - 41. Let o be (-15 - (-1 + 0))*(14 + -16). Let b = o - t. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4025 divided by -7.\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 98916, 98903, 98890, 98877, 98864, 98851?\n\"Answer: -13*y + 98929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 482*i - 919*i - 2 to the form m + b*i and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 1389.5\nAnswer: -694.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8*-1 + (-277692)\/16. Let s = -520843\/30 - q. Calculate the common denominator of -43\/30 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5741951 centimeters to kilometers.\nAnswer: 0.000005741951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26, 17.588, -0.1?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15208791, -30417586, -45626381?\nAnswer: -60835176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -844 smaller than -846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) -7\/13 (c) 2\/105 (d) 4\/3 (e) -2\/17 (f) 0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*g + 7*g + 4*g - 7*g to the form w*g + u and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - -7) + -828 + 828 - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 52*i. Let p(g) = 2*g**2 - 4*g + 1. Let v(d) = -16*d**2 + 20*d - 5. Let c(u) = 5*p(u) + v(u). Give c(q(f)).\nAnswer: -16224*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 18) + 1 + -10 - (5 + 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k, -30 = -4*x + 4*k + 6. Let y = -6 + x. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/30)\/(584\/1095).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973 take away -607034640?\nAnswer: 607036613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from dddddddddrdd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212182726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k**3 + 2*k**2 - k. Let b be g(-2). Suppose -2*h = -b - 12. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1250 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2987606 + -2987603.099842. Let f = q + -2.9. Round f to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 608, 1083, 1884, 3017, 4488?\nAnswer: 6303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 12:59 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65837993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 9. Suppose -5*m = -o - o + 8, -m - 10 = o. Let r be o\/(-2) - (-4 - -1). Let k be q(r). Solve -5 = -g - k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -14*l - 52. Suppose 25 = 21*u - l*u. Let r be -2 + 1\/(u\/(-10)). Sort 4\/11, 4\/7, r in descending order.\nAnswer: 4\/7, 4\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 28 (b) -0.1 (c) -1\/16 (d) 5\/16 (e) 2 (f) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.07, -13\/3, 1.01548 in increasing order.\nAnswer: -13\/3, 0.07, 1\/2, 1.01548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3 (b) -6 (c) -2\/9 (d) -161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 4*l + 3*f, 3*l + 4*f + 56 = -64 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + -40 - (-9)\/(-3). Let c = 65 + n. Suppose 2*i + 20 = 5*j, 0*i + 5*j = -2*i + c. Solve i = 2*f + 2*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*f + 5*y - 1, -5*f = -5*y - 5. Let z = 28 - 19. Solve -z - f = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**2 + 5*d + 5. Let l be n(-5). Let a be (-2 + -4)\/(10\/l). Find the first derivative of -a*r**4 + 24 + 46*r**4 + 45*r**4 wrt r.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 - 256*k + 551. Give n(-46).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-1 + sqrt(78))*1 - 4*(2*sqrt(78) - sqrt(78)))\/(sqrt(24)\/(sqrt(500)\/sqrt(5))).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6860233.488097 and -2?\nAnswer: 6860231.488097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 + 2*q**3 - 5*q**3)*(-3*q**2 + 4*q**2 + q - 2*q**2 + (0 + 0 - q)*(1 + q - 1)).\nAnswer: 2*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, -8.2995, -1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8621346*53.\nAnswer: 456931338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 11, -19, -73, -157, -277, -439, -649?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -62421*s + 124845. Give w(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -12 - 8 - -16\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8*f - 5*f + 6*f)*(-5 + 3 + 0) - f - 3 + 3 + (-3 + 4 + 1)*(2*f + 0*f - f))*(21 + 89 - 11) - 3*f + 6*f + 0*f.\nAnswer: -1680*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-62)\/20 - ((-1 - -3) + -5). What is the biggest value in -4, -5\/2, g, -2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g - 56*g + 17*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -53, -128, -233, -368, -533, -728?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5149 or -30901\/6?\nAnswer: -5149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1967*l**3 - 2050*l**3 + 4078*l**3.\nAnswer: 61*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 0.61\nAnswer: -6.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 9*i - 17. Let p be s(-5). Let r be 0\/(-5)*(-1)\/p. Solve r = 3*k - 9 - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2888*p + 20222. Let l be v(7). Let h be (-4)\/1*(0 + -2). Solve -4*b = -k, b = -l*k + h*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-594)\/(-288) + -2)*8\/(-12)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -177*j**2. Let s(w) = -3*w. What is s(m(d))?\nAnswer: 531*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*a + f - 34400 = -77*a, 0 = a - f - 17203. Is a a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -582859 + -3?\nAnswer: -58285c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 162222941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3\/7 + 236968*j**2\/7 + 11837984*j\/7 - 3517696 = 0. Calculate j.\nAnswer: -59192, -52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 20. Let k be 6250\/(-2*h\/1280). What is k rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, d: 3}. What is prob of sequence dd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 4*q = -8*h - 864, -5*h - 2175 = -5*q. Let a = -437 - h. Let x(b) = 2*b + 3. Let l(y) = 4*y + 7. Let c(w) = 2*l(w) - 5*x(w). Calculate c(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 901, 902, 903, 904, 905?\n\"Answer: f + 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q - 1116 = -96*q + 1845. Calculate the highest common divisor of q and 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52\/7 - -50\/7. Which is the nearest to 2? (a) -1 (b) y (c) 1\/4 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -6. Suppose 4*a + 2*f - 348 = 0, -4*f - 9 = 7. Calculate the remainder when a is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven quarters of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1254891\/6914*2\/(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3 = -5. Let p be ((-36)\/(-22))\/((-30)\/(-44)). Find z such that 0 + p*z - 4\/5*z**l = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196871424 to the power of 1\/2, to the nearest integer?\nAnswer: 46871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.105796, 1, 0.4 in decreasing order.\nAnswer: 1, 0.4, -0.105796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 921 + -921.187. Let y = 0.187045 + q. Round y to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 95*m**2 - 94*m**2 + 8 - 14.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 54*n**4\/5 - 216*n**3\/5 + 36*n**2 + 40*n - 50 = 0.\nAnswer: -1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 78987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 1:44 AM?\nAnswer: 157","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k - 296. Let c be j(34). Solve -44 + 4 = -c*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15970 is divided by 883.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -4 - (-3 - (2 + -12))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2 + 0) - -2. Let m be 76\/28 + 2\/7. Suppose -m*v - q = -4*v. Calculate the remainder when v is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -476 + 471.77. Let q = d + 3.23. Which is the nearest to 1\/3? (a) q (b) 1\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + 39172?\nAnswer: 39164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1299\/10 + 642\/5. Let t = 18 + -14.3. What is the third biggest value in 4, t, 5, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 2)\/(-3)*0. Suppose 10 = -5*u, a*u - 2*u - 14 = -p. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34108, -34326, -34546, -34768, -34992, -35218?\n\"Answer: -c**2 - 215*c - 33892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1709, -3089, -4185, -4997, -5525, -5769?\nAnswer: -5729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154811235 divided by -51603745?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9644567 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 39237369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(100) - (sqrt(176) + 1) - (1*sqrt(11) + -2 + 3).\nAnswer: -24*sqrt(11)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.012064 + 0.011. What is x rounded to 5 dps?\nAnswer: -0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197196*r**3 + 75*r**2 - 2*r + 31804354 wrt r.\nAnswer: -591588*r**2 + 150*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20969, 25074, 31921, 41510, 53841, 68914, 86729?\nAnswer: 107286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*z - 2 - 430*z + 2.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8771 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32228704243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5 + 67. Suppose 3*x + u = 6*x. Suppose q = -2*q + 3, 0 = -n + 5*q - x. Let d(h) = -h - 4. Give d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (91984\/(-12))\/(1\/3). Let h = u - -67041. Let i = h + -127045. Round i to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 431*-8.448.\nAnswer: -3641.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 49, 0.061, -3.2, 0, -2\/3?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z + 66. Give g(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 7:07 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12403\/129442 - 6\/1061. Calculate the common denominator of n and 81\/106.\nAnswer: 6466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -125, -399, -863, -1523, -2385, -3455, -4739?\n\"Answer: -k**3 - 89*k**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 10, 1, -4 in descending order.\nAnswer: 11, 10, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.29 - -8.2129. Let j = -0.08 - q. What is j rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (48\/(-168) - 733\/7) - -4. What is the highest common factor of c and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1445 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/7379952 and -145\/216?\nAnswer: 66419568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -786.84 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 p when four letters picked without replacement from {p: 2, v: 2, a: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -16. Suppose 0 = s*i - 8 - 2. Suppose -z = -i*z + 24. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2 + 12 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1677, -6529, -14397, -25101, -38461?\n\"Answer: 30*m**3 - 1688*m**2 + 2*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 33\/((-1782)\/72)*(-1)\/((-8)\/(-66))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)*g**(-5))**(-2\/93) assuming g is positive.\nAnswer: g**(7\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 43983.9 times 9.9\nAnswer: 435440.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i - 15 - 11 - 11 + 37. Let u be ((-16)\/(-20))\/((-2)\/10). Let k be 2\/(-3)*6\/u. Calculate o(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {j: 2, b: 2, e: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**7\/360 - m**6\/144 - m**5\/60 - m**4\/4 + 4*m. Let a(u) be the third derivative of h(u). Suppose a(z) = 0. What is z?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/28 and 27\/82?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 551981, 1103950, 1655921, 2207894?\nAnswer: 2759869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:48 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55094.24cm in nanometers?\nAnswer: 550942400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1635193 or -1635194?\nAnswer: -1635193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**4*(q\/(q*q**6))\/q*(q**(-7\/3))**19 assuming q is positive.\nAnswer: q**(-139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 472373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -15401*u + 77077. Calculate s(5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-1))\/((-18)\/3).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332570.\nAnswer: 2, 5, 7, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1013887 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10*k - 3. List the prime factors of j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 11:27 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -564, -7, -5, 531 in increasing order.\nAnswer: -564, -7, -5, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-2 + (-2)\/(-8)*21*6288\/3537.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1157 + 1157.2. Is 0 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91 * -3.7.\nAnswer: -336.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2*(-2 - -1). Let n(z) = z**3 + 77*z**2 - 78*z + 5. Let r be n(-78). Suppose -r = s*b - 165. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 192699 = 192741 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a micrometer in nanometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34737713?\nAnswer: 641, 54193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 31 = 35. Sort -1, b, -16.\nAnswer: -16, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3))**(3\/25)\/((n*n*n**(-13)*n*n*n)\/((n*n**(-1\/4)\/n)\/n)) assuming n is positive.\nAnswer: n**(639\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 m when four letters picked without replacement from uqwqwmqmmwqwwmwm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -3*z + 28, -z + p - 2 = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 141535679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -197*v**4 - v + 210*v**4 + 2*v wrt v?\nAnswer: 156*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {c: 2, r: 2, m: 1, u: 1, i: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 2:04 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 3*y + 21462. Calculate r(-145).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2. Let h(r) = -4*r**2 - 1. Calculate x(h(s)).\nAnswer: -32*s**4 - 16*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 12:40 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (53 + -53 - 2\/1). Solve -27*u = -33 + m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392*d - 403207 = -427*d + 40243. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/462 and 38\/128185981.\nAnswer: 769115886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 1, c: 7}. What is prob of sequence cec?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102328 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4*-3*2\/(-8))\/(6\/(-1))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 7*q - 17 = 0, -1 = 31*f - 33*f - q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -139*q**3 + 3*q**2. What is o(-1)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117.5 + 0.04994.\nAnswer: 117.54994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31077 by 38571.\nAnswer: -10359\/12857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 141\/(1 + -2 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 0.06\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7855109369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15277 + 47*r**2 - 15277 + r to n*r**2 + i*r + q and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.6, 54, -3 in ascending order.\nAnswer: -3, 8.6, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 5*r - 8 + 8.\nAnswer: -r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/4 + 13*i**3\/6 - 10*i. What is the second derivative of w(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h**2 - h - 1. Let k(r) = 5*r**3 - 6*r**2 - 6*r - 9. Calculate k(q) - 6*n(q).\nAnswer: -q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f - 2 - 2*f - f**3 - 4*f - 7*f**2. Let u be v(-6). Let p be (u\/3)\/((-2)\/6). Solve 3*l = 3*s + 2*l + 6, 5*l + p = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + -5 + 2 - -2) + (25 - 22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/b**(2\/11))\/(b**(-2\/11)*b*b**1\/b)*(b*b**(-2\/19)*b**(-1\/10)\/b*b)**1 assuming b is positive.\nAnswer: b**(721\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-1*1)\/(-5*1*sqrt(7)) + -5)**2.\nAnswer: -2*sqrt(19) + 644\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159641\/21 - -7606. Calculate the common denominator of -13\/357 and y.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m - 3*m - 2*m)*(-59 + 5 - 30)*(-3 + 61*m - 240*m + 79*m + 57*m) to l*m + n + g*m**2 and give g.\nAnswer: -3612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 22*s**2 + 280*s - 82. Calculate t(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92456 by 46228.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 2. Let x be ((-9)\/(-6))\/((-6)\/16). Let d = 9 + x. Calculate f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 4*q**2 + 18*q + 32. Let j be v(6). Calculate the greatest common factor of j and 400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 996. Let f = t + -192. Round f to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 a, and 1 y when four letters picked without replacement from ayxzyajaxxazyxxzax?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -19*u**3 + 9*u + 8. Let q be i(-1). Let j be 1*((-8)\/(-14) - q\/56). Put -7, -3, j in increasing order.\nAnswer: -7, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*x + 555 - 555)*(-4 + 3 + 2)*(-1 + 0 + 3) to the form p + c*x and give c.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 20*i**2 + 12*i + 6. Let s be o(-9). What is the highest common divisor of 18 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12248 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4652652?\nAnswer: 2, 3, 387721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -211\/7560 and 53\/603.\nAnswer: 506520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-3)\/(-3))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/8))**(-11)*(x**(-3))**(-14\/5) assuming x is positive.\nAnswer: x**(281\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*j = 193*j + 35. Suppose 5*p = z + 336, j*p - 5*z + z = 324. What is the highest common factor of 68 and p?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 19*p**2 + 32*p - 2. What is y(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19256 - 28006 - 6540 = -49*r. Calculate the remainder when r is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l**5 + 2427830*l**4*u**3 + 5163875*l**2*u**3 + 7*l**2 wrt l.\nAnswer: -480*l**2 + 58267920*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-6)*(-90)\/(-1860)*31.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2626*f + 5683*f - 96 - 63 + 159 as w*f + y and give w.\nAnswer: 8309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 6*d**2 + 30*d**2 + 6 + 14*d + 2*d**4 + 11*d + 12*d**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 714 by -14.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 10. Let i(j) = -j + 5. Let s(z) = 2*a(z) + 5*i(z). Let p be s(-5). Let u = 13 - 9. Solve -4*t = -p*t - u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 28919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-4*(-6)\/(-9*4)). Let h(s) = s**2 - 6*s + 6. Let w(n) = 5*n**2 - 25*n + 25. Determine k*w(c) - 25*h(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -a882c (base 13) in base 12?\nAnswer: -128314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5175600 and 323248.\nAnswer: 3632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -73248 minus 52642?\nAnswer: -125890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -41.99934. Round b to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 2303 = -16*d - 39*d. Put -4, 1, -3, 3, d in ascending order.\nAnswer: d, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 581 and 1079?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3726*x**2 - 3*x - 4. Let w(r) = -1243*r**2 + r + 1. Determine 2*m(v) + 7*w(v).\nAnswer: -1249*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*b + 31. Calculate the remainder when 61 is divided by b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5170 is divided by 115.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 0 + o + 2*o + 4*o + 2*o - 4. Let r(x) = -2*x + 1. Determine -6*q(u) - 22*r(u).\nAnswer: -10*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*y + 1244, 492 = -5*y + 3*y + 4*a. What is y rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/35*(-11 + 16). Solve -18 = 2*r + l*v, 4*r - 191*v = -195*v - 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 9\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/40)\/((4\/4)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 20 + 6 = 0. Let x = w - 13. Let b(r) = 120*r**3 + r**2 + r - 2. Is 10 a factor of b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13308232 + t**2 - 6654173 - 6654059.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 715?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -29\/5. Let r = -832 + 9149\/11. Find the common denominator of r and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*43\/(43\/18)*(-2)\/(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 37*y + 4. Let l(s) be the second derivative of -574*s**3\/3 - 123*s**2\/2 - 2694*s. What is -4*l(k) - 123*v(k)?\nAnswer: 41*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -37. Let q = 79 - h. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1, -271, -37, -4 in decreasing order.\nAnswer: 1, -1, -4, -5, -37, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z = 316 - 412 - 264 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-273)\/18)*(-2)\/(-6)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q. Suppose -10 = 2*x - 3*x - 4*f, -2*x - f + 34 = q. Calculate the least common multiple of x and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47829 is divided by 1063.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 1, c: 3, w: 2, h: 5, u: 1}. What is prob of picking 1 c and 1 h?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 428\/5. Let k = 27.9 + -25.9. Put 12, g, k, 3\/2 in descending order.\nAnswer: 12, k, 3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32174240771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjyjjyjyty. Give prob of sequence jty.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1626 - 4880\/3. What is the closest to v in 2.8, 4\/3, 4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17981677 minus 0.5?\nAnswer: 17981676.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -17*q**3 + 5*q**2 - 5*q. Let t(l) = -8*l**3 + 3*l**2 - 2*l. Let w(g) = -2*j(g) + 5*t(g). Find the third derivative of w(u) wrt u.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287481 divided by 4\nAnswer: 287481\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 9, -0.2, -2\/3, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 9*y + 14. Suppose -3*s + 2*s - 5*b + 6 = 0, -4*s + 3*b = 45. Is k(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -642323 (base 15) to base 7.\nAnswer: -55340436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyhhyhyyhyyhhhhhy. What is prob of sequence hhh?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 60.67692526 and 0.238.\nAnswer: 60.91492526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from jwnsjnsjjjjjxjsjsnn.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*c + 18. Let m(s) be the third derivative of -s**4\/12 - 2*s**3\/3 + 2*s**2. Give m(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174678259 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 60*m**2 + 12*m - 710. Give c(60).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (0 + 7)) + 5 + (2 + -16 - -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.4 (c) 2\/9 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*k + 2144, k = -5*f + f + 4291. Let n = -1688 + f. What is n rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002420843 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -1341543?\nAnswer: -1341542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10339687.\nAnswer: 37, 279451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -6. Let d be (-2 + 3)\/(1\/m). Let u be (-214 - -208) + -2 + 13\/1. Put 0, u, d in increasing order.\nAnswer: d, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 482720\nAnswer: -1\/68960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19*15\/855)\/(49\/(-588)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70230337*m**2 + 13740*m - 351?\nAnswer: 140460674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 507082071 to the power of 1\/2, to the nearest integer?\nAnswer: 22518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1181 times -4.3136\nAnswer: -5094.3616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-710)\/(8 - -63) + 88?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 84, 327, 746, 1353, 2160?\n\"Answer: 2*o**3 + 76*o**2 + o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (150\/(-195))\/((-2)\/52). Solve 34*n - c = 24*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770902, -770738, -770574, -770410, -770246?\nAnswer: -770082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2764.953t to micrograms.\nAnswer: 2764953000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17565276 - 14?\nAnswer: 17565262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3081 is divided by 130.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*m = -2, -3 = -3*r - 3*m - 0. Let s(c) = 65*c**2 - 3*c + 1. What is the units digit of s(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 2*u**2 - 6*u - 3. Let p be 1\/4*-10*(-8)\/5. Suppose 0*n = -p*n - 5*i - 1, 3*i + 9 = -n. Does 35 divide w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnptxtrftntrfnfftf. Give prob of sequence xt.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/31)\/((n**18\/n*n)\/n)*(n\/n**13)**(-18\/13) assuming n is positive.\nAnswer: n**(-129\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 5*h**2 - 13. Let x(q) = -q**3 + 3*q**2 + 7. Let p(y) = -3*v(y) - 5*x(y). What is the first derivative of p(c) wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Let s be (1890\/(-735))\/((-4)\/(-210)). Are a and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133 by 7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2058 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*n - n - 54*n + (-5 + 2 + 1)*(2*n + 0 + 0) + 0 + 2*n + 0 + (5*n - 3*n - n)*(3 + 7 - 2)*(-5 - 3 + 0) as b + k*n and give k.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-24))\/(31\/(-8) + 4). Solve -q*j = -4*l + 2*j - 31, 3*j + 11 = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038087 to three dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1261*r**6 + 2530*r**2.\nAnswer: -151320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1 - 2*n + n + 0. Let a be s(-4). Suppose a*r = -6 + 46. Solve -2*w = 2*j + r, 3 = -3*w - j - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 10. Let m = 12 + p. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - q + 4 + 15, 5*f = 2*q + 52. Suppose -2*l - 3 - f = 3*n, -3*l = -2*n. Is 19 a factor of ((-76)\/6)\/(2\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3) + -5 + 2*sqrt(35)\/sqrt(5).\nAnswer: -5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 2*v + 2*v)*(-4*v + 11*v + v) as x + f*v**2 + z*v and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 175*r*w**2 - 5*r - 17*w - 138 wrt w.\nAnswer: 350*r*w - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 4*r. Let h be f(4). Suppose -2*q = -h*q - 72. Let p = 11 + q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/15)\/3 + (-162)\/30. Is 2722*(-1)\/(3 + c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 30*x + 10. List the prime factors of y(39).\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11643014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -713312 divided by -16?\nAnswer: 44582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 5*s**2 + 4*s + 1. Let t be k(-3). Suppose -t*w = 203 - 1575. Suppose 8*q - w = 4*q. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g + 12. Let a be c(-3). What are the prime factors of 802\/5 + a\/(-5)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -221 > -222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1872 by 26.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/144 and -109\/14.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from xqxsprwsw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.38 + -0.34. Let x = j + 33.72. Let z = 9 - x. Which is the third smallest value? (a) 0.5 (b) z (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000070024 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4dba49 (base 16) to base 8.\nAnswer: 23335111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-40)*-2 - (-28)\/1540.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + 297. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(2\/19))**(6\/25)*((j*j\/(j\/(j*j**(-3\/2)\/j)))\/j**3)\/(j*j**(1\/4))**(-3\/41) assuming j is positive.\nAnswer: j**(-263557\/77900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 404, 405, 406, 407?\n\"Answer: y + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -71*b + 431. Let v(f) = -17*f + 106. Calculate 2*n(y) - 9*v(y).\nAnswer: 11*y - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-25*m**4 - 185*m**2 + 185*m**2 + 2*m**5).\nAnswer: -2*m**5 + 25*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 569, 1252, 2073, 3032, 4129?\nAnswer: 5364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(10\/(-400)*-40)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102808675 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3*(-4 - -10). Suppose -6 = -z*k - 14, -5*k + 301 = j. Let b = j - 132. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-44))\/(5\/(-400)*-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14119931 - 5.\nAnswer: -14119936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*w - 78 = 0, -3*w + 114 = 4*a - 14. What is the remainder when a is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.218 and 805006.\nAnswer: -175491.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 2:20 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2299.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8)*v*v**(-8)*v)\/((v**(-2\/7)*v)\/v)**31)**(6\/31) assuming v is positive.\nAnswer: v**(-216\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (88 - 123) + (3 - 8) - -18?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -4.4. What is the second smallest value in n, 1, -0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -16, 2.\nAnswer: -16, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*7311651.\nAnswer: 29246604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 732 and 3294.\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*i + 17370 - 6080, 0 = 4*i + 3*k - 8969. What is the highest common factor of i and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - q - 1. Let g(s) = -2*s - 36. Let c be g(-17). Give d(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -95. Suppose 3*i = 5*i + 3*q - 503, l*i = -5*q + 1250. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 62.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 - 55. Calculate the least common multiple of b and (3 - (-406)\/(-42))\/((-2)\/6).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -770.81101 rounded to one dp?\nAnswer: -770.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Let t(u) = -u**3 - 6*u**2 - 6*u - 3. Let s be t(-5). Let m(p) = s*p + 15 - 23 + 8. What is m(i(c))?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (6 - (1 + 4))) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 24*a**2 - 44*a. Let l be i(22). Suppose -3*h + 5*t - 2 = 0, 3*h - 38 = -8*t + 3*t. Sort 2, h, -3, l in increasing order.\nAnswer: -3, l, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 900729, 900760, 900807, 900870, 900949, 901044?\nAnswer: 901155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27154.20529 less than -68?\nAnswer: 27086.20529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -43. Is 14 a factor of 522\/27 + -1 + 2\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -33 + (8 - (3 + 11)) + 13\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 - 36*l - 55. Let k be c(-10). Solve 3*g = -5 + k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.74 and -0.0292.\nAnswer: 0.021608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775717961.\nAnswer: 4517, 171733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48.2 + -32. Let f = o + 125.8. Let i = 142.00258 - f. What is i rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.92634923 to four dps.\nAnswer: -11.9263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 254120 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-117049)\/11457) + ((-8)\/38)\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 71*w + 222.\nAnswer: -(w - 3)*(w + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llliili. Give prob of picking 1 i and 2 l.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 12*x - 9. Let u = -3 + 14. What is b(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/((sqrt(280)\/sqrt(10))\/sqrt(7)))\/((sqrt(36)\/sqrt(4))\/sqrt(3) - sqrt(12)*-2).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 459*n - 32 = 443*n. Solve -4*p - 3*v - 4 = n, 4*p - v - 2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 693670, 693669, 693668, 693667?\n\"Answer: -o + 693671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1123 + 1122. Let z = -0.11 + -5.89. Let j = 6.3 + z. What is the closest to 0.1 in i, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167800, -335572, -503312, -671020?\nAnswer: -838696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3674.44 - -3600. Round k to the nearest integer.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let x(o) = 3*o - 4. Let g be x(4). Suppose 0 = -2*p + g - v. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 19*n + 1. Let o be c(19). Suppose 12 + 3 = 5*m. Suppose f = -h + o + 1, m*h - 2*f - 6 = 0. Solve -5 + 13 = -h*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*f*j*q - 3*f*q**2 - 5*f*q + 89*j*q + 2*q**2 + q wrt f.\nAnswer: 7*j*q - 3*q**2 - 5*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1690972494 to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 27?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3456 and 24111.\nAnswer: 3086208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + z + 1. Let m be (-567)\/(-56) + -8 + (-5)\/40. Let v(n) = -13*n**3 + 2*n**2 + 2*n + 2. What is m*p(r) - v(r)?\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91872836?\nAnswer: 2, 11, 73, 28603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 9*j**2 + 3*j. Let w(y) = -5*y**3 - 17*y**2 + 5*y. Let l(k) = 10*d(k) - 6*w(k). Find the third derivative of l(r) wrt r.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnc when three letters picked without replacement from ccnnncncnncn?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:05 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 1) + 71 + -94.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -533 + 527 + (3 - 20)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 13*u**2 + 663*u - 613. Let v(q) = 6*q**2 + 327*q - 306. Let t(g) = 3*i(g) - 7*v(g). Factor t(b).\nAnswer: -3*(b - 1)*(b + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 7 - 8. Suppose -n + 25 = -6*n + 3*y, 0 = 3*n + 4*y - 14. Put n, q, 3 in decreasing order.\nAnswer: q, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -235 bigger than -377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 118146, 118148, 118150, 118152, 118154, 118156?\n\"Answer: 2*p + 118144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -6, -0.2 in decreasing order.\nAnswer: -0.2, -0.9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232302313 (base 4) to base 10.\nAnswer: 453815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 811409891 to the power of 1\/3, to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 n, and 1 z when four letters picked without replacement from {n: 3, o: 2, e: 5, z: 3}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*j = 619*j - 14756 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 1, -1\/4, 0.5, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 1. Suppose 0 = -5*z - 5*y - 20 - 25, 8 = -2*y. Let f(l) = -3*l + 1. Calculate z*t(h) - 6*f(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 802228?\nAnswer: 1\/200557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*v**2 - 1 + 1 + 2 - 2 + v**2 + v**2 + 3*v**2 - v**2 + (-2 + 2 + v)*(3*v + 0*v - v).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 179, 183, 189, 197, 207, 219, 233?\n\"Answer: k**2 + k + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 1. Let p = 43 + w. Let x(v) = p - 2*v**2 - 37. Let f(c) = -21*c**2. Determine f(x(r)).\nAnswer: -84*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdkdxdckdcxxxdcdxc. Give prob of sequence xkc.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/5 + 2\/(-10). Suppose v - 29 = -4*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 26 = -9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.006192.\nAnswer: -0.003096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 351188 by -9.\nAnswer: -351188\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3175 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.712 + -5.712. Which is the nearest to f? (a) 7 (b) -3\/8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s + 27. Let y be u(-6). Let t(d) = -4 - d - 2 - 4. Calculate t(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 34. Suppose -3*i - u = -62. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129401132893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386805 is divided by 632.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -34. What is the nearest to 1\/2 in -5, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 2:13 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 254588 to the power of 1\/2, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9644 + 0.0356. Let v = 4.4 + 0.9. Let m = v - k. What is the third biggest value in 0.5, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5110 (base 12) to base 4\nAnswer: -2021130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/41 + -89\/287. Which is the biggest value? (a) s (b) 0.4 (c) 1\/2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2 - 2*p)*(-21 - 14 + 5)*(4 - 4 - 1)*(4*p - 4*p - p**3) to the form d*p**2 + b + v*p + m*p**4 + y*p**3 and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**2 + 4*c - 11. Let w be b(-5). Let j be (-8)\/68 - (-48)\/w. Factor -10\/7*y**3 - 4\/7 - 18\/7*y**2 - j*y**4 - 2*y.\nAnswer: -2*(y + 1)**3*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8103767329824 and -0.4.\nAnswer: -8103767329824.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/11)\/(44\/(-484)). Solve -6*d - 4 = u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 2. Suppose -i = -0*m - m. Let y(n) = n**3 - 4*n**2 + 2*n - 3. List the prime factors of y(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -89 - 11*h + 89 + 0 + h + 0 + (2 + 0 - 5)*(-3 + 2*h + 3).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-9) - 2)\/((-6)\/36). What is the closest to 1\/4 in -0.4, 0.051, r?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41c180 (base 14) to base 16\nAnswer: 21eb64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25201590 divided by -6.\nAnswer: -4200265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 + 17*w - w**2 - 124*w + 38*w**4 - 122*w - 39*w**4 - 3*w**3 to the form i*w + j*w**3 + l + g*w**4 + a*w**2 and give i.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164 and 26?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -15, -3\/8, -0.4, 3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 58, 99, 140, 181, 222?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 7*x + 3. Let j be g(7). Suppose 0*d + 278 = 4*d + 2*s, j*d - 3*s = 231. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327673 is divided by 6179?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 0*o**5 + 0 + 0*o**3 + 1\/10*o**6 + 3*o + 1\/4*o**4 + 0*o**2. Find the third derivative of x(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722451741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from jejetefetejjt.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8969 - -8968.838. Round a to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794*x + 19193 = -2245 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y - 17*y - 19*y)*(-y + 2*y + 0*y)*(-2 - 1 + 2).\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60961632 a multiple of 1416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.062 + -0.062. Let i = 324 + -321. Which is the third smallest value? (a) -2 (b) 0.1 (c) i (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/15)\/s)\/(s\/((s\/(s**(-2)\/s*s)*s)\/s)*s*s*s*s))\/((s*s**(-1\/4)*s)\/s*s\/s**(-4)))\/((s**(-2)\/s)\/s*s*s**(-1\/5))**(-27) assuming s is positive.\nAnswer: s**(-5701\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-5 + -8 + -7)) + (3 - 0).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 2*f - 3. Let l be (-1 + 0)*1 + 18 + -14. Give d(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 40 + (34 - 28).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 136906439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) -1 (c) 0.2 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 14 - 21 - t**2 - t**3 + 11 to m*t + p + j*t**2 + b*t**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*r**2 + 51*r**2 - 136*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 * -7.1.\nAnswer: 1.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/((-18)\/(-210)*-21)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -510 - -494. What is the common denominator of ((y\/(-2))\/(-56))\/(12\/(-98)) and -13\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.4 (b) -306 (c) 1\/42 (d) -2 (e) -0.5 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4532704 and 10432?\nAnswer: 9065408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19757\/20 + 5543\/5. Let w = -122 + i. Let f be (2\/(-6))\/((-1)\/(-3)). Which is greater: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.413383 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o + 38. Let f = 16089 - 16085. Calculate p(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/18474 and 61\/39.\nAnswer: 240162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m**2 + 19*m - 42. Let u be y(13). Let w = u + -1051. Let b = w + 5648. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -696*v**2 + 3*v + 7238. Let s(k) = -3483*k**2 + 14*k + 36192. Let u(x) = 19*a(x) - 4*s(x). What is the derivative of u(h) wrt h?\nAnswer: 1416*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 3 - -2) + 0 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.385 in -8635, -6\/7, 0.2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - 2*sqrt(85)*-5)\/(sqrt(20)\/(2*sqrt(4))))**2 + -1.\nAnswer: 8227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b1 - 7480?\nAnswer: -7931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, 0, -4 in decreasing order.\nAnswer: 0, -4, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 325 + 3?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 4*q + 14. Is f(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 - 0.3. Let j = n - -1.4. Is -0.1 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t + 4. Suppose -t*i = 2*r + 18, 3*i - r = -0*r - 1. Which is the closest to -0.1? (a) -4 (b) i (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 32 + -19 - (3 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*p + 3*z = 171 - 204, 2*p + 3*z + 13 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -44.2. What is the closest to 1\/3 in 5, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 2 - 6\/21. Let v = 2 + -2. Let j = -0.8 + 0.5. What is the closest to v in 3, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tltlltodlltllolw. Give prob of sequence lwl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*381100\nAnswer: 1143300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -147 + 4102?\nAnswer: 3733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9*b**3 - b**2 - 95*b + 517. Give a(4).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35114246.\nAnswer: 2, 17557123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102619 - 102621. Suppose -2 = -3*b + 22. What is the nearest to p in -3, -2, b, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67987812863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**(-9)*d**(-2\/7)*d)**32)**(-44))**(-2\/35) assuming d is positive.\nAnswer: d**(230912\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j**3 + j. Suppose 9*l - 53 = -2*k, 30 = 5*l - 5*k - 30. Let z(v) = -18*v**3 - 3*v + 1. Determine l*h(o) + 3*z(o).\nAnswer: 9*o**3 - 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeeaaaaeaaaeaa. What is prob of picking 3 a?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(7) + (sqrt(7)*-2 - sqrt(7)) + -3) + 0)**2 - ((1 + sqrt(847))*-6)**2*-3) + -3.\nAnswer: 2388*sqrt(7) + 91618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54833 is divided by 3388?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3\/8 + 905697*y**2\/4 + 9056907*y\/8 + 1811379\/2 = 0.\nAnswer: -603793, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/3 - 3\/15)*-5. Let x = -5 + 9. Solve -3 = -n, -x*l + z - 16 = -n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62 and 147268?\nAnswer: 9130616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 - -137. Suppose 2*r = -0*h - h + 9, -r = 4*h - 1. Calculate the remainder when v is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31 and 859?\nAnswer: 26629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5141804438?\nAnswer: 2, 2570902219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 92.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 3*h, -4 = h - 0*h - 2*b. Solve -2*p - 16 = h*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 30*l - 22. Let h(o) = 10*o - 7. Calculate 16*h(s) - 5*z(s).\nAnswer: 10*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34034 - 55764 = -5*k - 2*w, 2*k = -w + 35920. List the prime factors of k.\nAnswer: 2, 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51314034.\nAnswer: 2, 3, 8552339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + -7 - -23)*3\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) + (-2)\/8. Suppose 0 = -5*k + 2*i + 23, 4*k + 57*i = 54*i. Suppose t = 3*u - k*v + v - 207, -u + 5*v = -56. List the prime factors of u.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by 28248.\nAnswer: 21\/9416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.11, 405, 7 in decreasing order.\nAnswer: 405, 7, -1.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azaaagqzf. What is prob of picking 1 g and 1 z?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9a + -15b?\nAnswer: -1f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Suppose -4*a = x*n + 10, n = 5*a - n + 24. Sort 1\/3, 0.4, a in ascending order.\nAnswer: a, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -11*s**2 - 26*s - 2. Let u(v) be the third derivative of 7*v**5\/60 + 17*v**4\/24 + v**3\/6 - 12096*v**2. Determine 8*u(y) + 5*x(y).\nAnswer: y**2 + 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/52504725 and 41\/6594.\nAnswer: 105009450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*o + 2 - o**3 + 26*o**2 - 17*o + 26*o**2 + 51*o as v*o + z + f*o**3 + x*o**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 91*r**2 - 170*r + 721. Let i be b(-89). Let k be ((-3)\/(-2))\/((-1)\/2). Which is bigger: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1441*d*f**5 + 3*d*f**2 + 199455*d*k - 569*f**5*k wrt f?\nAnswer: -86460*d*f**2 - 34140*f**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z + 20. Let y be (-714)\/(-30) - 2\/z. What is the greatest common divisor of y and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c - 21 = -38*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-1 - (0 + -244)). Suppose g + 20 = 4*y. List the prime factors of (-1456)\/(-22) - ((-12)\/y)\/(-1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 19, p: 1}?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let h = 9 + -11. Let n = -4 - h. Which is greater: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y + 6. Let g be u(-2). Calculate the highest common divisor of 36 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((3225\/60)\/43)\/(2\/(-16))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -6 - -10) + (22 - (3 + 7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 181439255.15 from 0.\nAnswer: -181439255.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 4, g: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*g - 11. Let v be g - 10\/5 - -5105. Round v to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1120 and 2340?\nAnswer: 131040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2329 is divided by 767.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 299.41532593 and -0.08.\nAnswer: 299.33532593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*f - 62*f - 37*f - 54*f.\nAnswer: -108*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3953163 by -3.\nAnswer: -1317721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 73. Does 19 divide 0 + l + (181 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(91) + (sqrt(91) + sqrt(91) + sqrt(91) + 2*sqrt(91) + sqrt(91) + sqrt(91) - sqrt(91))) + -4*sqrt(91)*-2)\/(3*(-5*sqrt(112) - sqrt(7))).\nAnswer: -5*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-54)\/1305)\/((-3)\/(-5)). Put 2, z, 0.3 in descending order.\nAnswer: 2, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4)*(8 - 23))\/((544\/(-128))\/(-17)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -117. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9206649893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4\/2 - 12*f**3 - 205*f**2\/2 - 186*f = 0.\nAnswer: -4, -3, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 617 - 574. Suppose 10*l + x - 7593 = 0. List the prime factors of l.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 2*l**2 + 2*l - 3. Determine o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/16 - (1 + (-26)\/8). Find the third derivative of -4*x**2 - 21*x**4 + 23*x**4 - x**l wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*u + 513 = 5*u, -u - 2695 = 5*y. Let t = y - -1187. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {d: 2, x: 5, b: 2, r: 6, s: 3}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139462668 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108565511?\nAnswer: 37, 239, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 a factor of 32461635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535824195?\nAnswer: 3, 5, 37, 163, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2657a1 (base 12) to base 9\nAnswer: 1162654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15196 divided by -1?\nAnswer: -15196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 803894*v**3 - 1231988*v**2.\nAnswer: 4823364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 4*v**2. Let c be (-36)\/(-30)*(-15)\/(-6). What is x(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-1484))\/(145\/35 - 4)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:30 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 687076171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 433581921414 less than 27?\nAnswer: -433581921387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*r = 116, -3*l - 2*r + 279 - 101 = 0. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 62585478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -153.6, 0.1, -5\/2 in decreasing order.\nAnswer: 5, 0.1, -5\/2, -153.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/11 - 2653380*k\/11 - 880053178050\/11 = 0. What is k?\nAnswer: -663345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a + 39020?\nAnswer: 3908a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d - z - 4, -4*d + z = -4. Suppose w = 2 - d. Solve -5*l = -2*l - w*u - 5, -2*l + 3 = -u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -32. Solve 4*p + 22 = -2*h, -2*p - 6 = c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i, -19*f - 8 = -17*f + 5*i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 34223?\nAnswer: 376453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(-6)\/231 + 2\/(-11). Suppose -3*u - 9*u + 60 = i. Solve u*g - 3*x - 14 = 0, 0*g = -2*g + 2*x + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77 - -68) + (1 + 8 + 41 + -7 - 5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1, 42, -2, -3, -21605.\nAnswer: -21605, -3, -2, 1, 20, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-80)\/(-10)*-75*19\/(-94620)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48993 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576267.\nAnswer: 7, 11, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*c + 4*q, 3*q - 16 + 12 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfpzfffz. What is prob of picking 1 p and 1 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywyccggwwgwgwwwgwcw. Give prob of sequence gyy.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 40 = -0*g. Let q = -78 - -116. Calculate the smallest common multiple of g and q.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16963 is divided by 747?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 5*c - 46, -4*c - 90 + 14 = 3*t. Let f = t - -29. Let m(v) = 19 - 36 + 18 - 4*v**2. Calculate m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*a - 4, -19*a = -2*r - 18*a - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -4, 2 in descending order.\nAnswer: 37, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 61*a - 64. Let r be f(1). Sort -10, -12, r in descending order.\nAnswer: r, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((18 - 41) + 19).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1676 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 16*k**2 - 4*k + 28. Let p be m(8). Let w(o) = -o**3 - 2*o**2 + 6*o + 5. What is w(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*l - 84, -5*t + 4*l - 42 = 100. Let y be (-5)\/t + 10\/12. Let q(s) = y + 33*s - 12*s - 18*s. Calculate q(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(1008) + (sqrt(1008) - ((sqrt(1008) - (-1*sqrt(1008) + sqrt(1008))) + -1)))**2.\nAnswer: -192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -11. Suppose -2*x + 23 = 2*i - 21, -4*i - 3*x = -88. Suppose -242 + i = 10*r. Which is greater: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -29*h**2 + 174*h - 8. What is o(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 111. Let c(i) = i. Let k(z) = 12*z. Determine q*c(f) - 6*k(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, -4, -0.2, 3941875?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -18. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let t(y) = -y + z*y + 0*y - 2. Let g be t(-3). Put g, -5, 0 in descending order.\nAnswer: g, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -91*i**3 - 2*i**2 - 3*i - 2. What is o(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7175013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32881, -33024, -33159, -33280, -33381, -33456, -33499?\nAnswer: -33504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3\/2 + 3*x. List the prime factors of d(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15291, 14215, 11299, 5625, -3725, -17669, -37125?\n\"Answer: -153*p**3 - 2*p**2 + p + 15445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 25 = -7. Calculate the common denominator of (1\/5)\/(j\/5) and -41\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzzdzddddzdddddddd. Give prob of picking 3 z.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 51 - 19 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -67a202?\nAnswer: 67a207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3 and 22707281 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-8)*a*((a**(-13)*a*a)\/a)\/a assuming a is positive.\nAnswer: a**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - (-2)\/(-6). Suppose -3*h = y - 269, b*h + 529 = 2*y - 3*h. List the prime factors of y.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4867 times 0.211?\nAnswer: -1026.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 285\/(-60) + 7 + (2790\/(-24))\/5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 189*i**3 - 191*i**3 + 3 - 7.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2 + 0 - 2*p - 12. Let w be b(-8). Let s be (84\/(-112))\/((-158)\/(-160) + -1). What is the highest common factor of s and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**6\/120 - o**5\/30 + o**3\/3 - o**2 + 88*o. Let j(g) = -3*g**3 + 5*g**2 - 5. What is -2*j(s) - 5*v(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/338106 and 13\/1221?\nAnswer: 3719166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 18. Let a = -106621 - -106627. Calculate the highest common divisor of j and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 3*a**2 - 97*a + 424. Calculate u(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -1084?\nAnswer: -1084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (-3 + 5 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v - 9. Let o(u) = u - 4. Let g = 65 - 60. Calculate g*o(c) - 2*k(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(52)\/(sqrt(4)*2) - (1 + sqrt(832)))*3 + (sqrt(1573) + 1 - (sqrt(13)*1 + sqrt(13))*1))**2*-4.\nAnswer: -5749 - 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:46 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3 + 160*f**2 + 676*f - 840 = 0.\nAnswer: -35, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-4)\/p)**43 assuming p is positive.\nAnswer: p**(-172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p - 3. Let v = 2 - -2. What is the units digit of f(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 9*k**2 - k + 13. Let z be o(9). Suppose z*n - 1 = -5. Sort n, -3, -2 in ascending order.\nAnswer: -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-25) - 18 - 1*-8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/(-39) - ((-12)\/(-39))\/2. Suppose 3*a - 3*i = 15, 8 = -3*a - h*i + 13. Calculate the highest common factor of 4 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(396) + 4*sqrt(396) + 1))**2 - (sqrt(330)\/(-2*sqrt(6)))\/(sqrt(320) - (sqrt(320) + sqrt(320)*-2 + sqrt(320))).\nAnswer: 3841*sqrt(11)\/16 + 39604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -35. Put y, 1, 4 in descending order.\nAnswer: y, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -65, -66, -41, 16, 111, 250?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008649028 to seven decimal places.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -4\/5, -2\/73, -11, 916.4 in ascending order.\nAnswer: -11, -4, -4\/5, -2\/73, 4, 916.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -49\/765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(15)*5)\/sqrt(3).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 21 + 38 - 6*t**2 + 40.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from {m: 4, a: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-30)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or 164\/9?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 154391519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 83118?\nAnswer: 914298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.402301l in millilitres?\nAnswer: 2402.301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 199, -3, 1 in descending order.\nAnswer: 199, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 7*g**4\/4 + 2*g**3\/3 + 7*g + 90. Find the first derivative of p(f) wrt f.\nAnswer: 21*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7134 divided by 2378.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 2*l + 4. Let c(g) = g + 663 + 923*g**2 - 922*g**2 - 666. Suppose 7 + 9 = 4*z. What is z*w(y) + 6*c(y)?\nAnswer: -2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -703.45062 - -0.05062. Let i = 703 + m. Which is the second biggest value? (a) i (b) -1 (c) -0.28 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-544)\/(-132))\/17)\/(1\/18*4).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 6*m - 11. Let r(y) = y**2 - y. Let p(d) = g(d) + 2*r(d). What are the prime factors of p(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88650456*r**3 + 97463478*r.\nAnswer: 531902736*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13611607 and 6923?\nAnswer: 95281249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7901100 - 15.\nAnswer: 7901085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**3 - 240*h**2 - 46*h + 3676. Let d be g(80). Let c = 0.34 - -16.66. Sort 3\/8, d, c in descending order.\nAnswer: c, 3\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 12*m - 5. Calculate b(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 313683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 8.1.\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 r when four letters picked without replacement from {y: 5, r: 4, d: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h + 19. Let i be (-6)\/21 - 178\/14. List the prime factors of y(i).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/14*(483\/(-9))\/(628\/(-314))?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-25)*-3*(14300\/(-30))\/11.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348847696 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 7 in ascending order.\nAnswer: -5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 419 - 285. Suppose 260 = 4*k - 4*d, 2*k + d - p = 2*d. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x**2 + 4*x + 4. Give h(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**3\/4 + 61585*g**2\/4 - 20475245*g\/4 + 1679559335\/4 = 0.\nAnswer: -12643, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 84. Suppose 2*g + 42 = -2*j, -f*j = -j + 3*g + 86. Let b(s) = s**3 + 24*s**2 + 22*s + 57. Is 40 a factor of b(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 2 (c) -3 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2791*d - 4. Let q(b) = -5579*b - 7. What is -6*q(i) + 11*u(i)?\nAnswer: 2773*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u + 6. Let n(o) = 3*o - 2. Let z(t) = 2*j(t) + 7*n(t). Suppose x - 13 - 2 = -2*p, 5*p = -2*x + 35. Let l = 9 - p. Determine z(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*k**2 + 80*k**3 + 158*k**2 + 3*k - 338*k**2 to the form i*k + j*k**2 + o*k**3 + g and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36872 at most 1.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 642, -331, 1 in decreasing order.\nAnswer: 642, 1, -4, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 3. Let o be s(2). Let x(f) = f**3 - 4*f**2 - f - 1. Is x(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 1 + (-43 + (-29 - -56) - -27)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*84\/315?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -38813?\nAnswer: 45\/38813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 27 + 17. Let m = q - -29. Which is smaller: m or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (1 - 1 - (26 + -21)) + 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 201 = 4*b - 17, -2*b - 533 = -5*d. Let j = 110 - d. Let k(p) = -p**3 - 2 - 1 + 2*p + 0*p + 3*p**2. Calculate k(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/11)*u**(-3\/7)*u**(-17\/2)*u*u*u\/u**9 assuming u is positive.\nAnswer: u**(-2341\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**3 - 5*w**3 + 4 + 2 + 4*w**2 - 4 in the form b + n*w**2 + m*w**3 + j*w and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/3)*o)\/((o*(o*o**(3\/5))\/o)\/o*o)*(o**0)**(2\/23) assuming o is positive.\nAnswer: o**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/12*-11)\/(20\/80). Suppose -o = d*o - 144. Solve 2*h - o = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 0.00757\nAnswer: -4.00757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/203 - (-3)\/((-84)\/(-316)) - -7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -64*k**5 + 5536*k**4 - 2724*k**3 - 2404*k**2 - 344*k = 0.\nAnswer: -1\/4, 0, 1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1*4)**2 + sqrt(11) + 2*sqrt(33)\/sqrt(3).\nAnswer: 3*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*h**4 + 12*h**3 + 5*h**2 - 221799.\nAnswer: -48*h**3 + 36*h**2 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 32402. Let w(s) = -2*s. What is w(t(j))?\nAnswer: -4*j - 64804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 162, -25, 3 in decreasing order.\nAnswer: 162, 3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -2)*(12 + -11). Solve -35 = -5*z + 2*h + h, -z - w = h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 9 = -4*v. Suppose -3*k + 5*k - v = 0. Does 7 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 12:40 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3002 - 1313 = -5*u. What is the remainder when u is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -672.495 times 45?\nAnswer: -30262.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 18. Let q = -51 + 42. Let g be d(q). Solve 3*f - 3 + g = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 = 4*r - 3*r, w = r - 3. Let q be (15\/10)\/(w\/2). Solve 9 = -3*h - q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -122\/3. Let s = -1 + 1. Let i = 12.6 + -16.6. What is the closest to s in i, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572306.5l in millilitres?\nAnswer: 572306500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -14 + 24 - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 + 6*i**3 - 3*i**3 + (88 - 88 + 15*i**2)*(4 - 4 - 2*i) + 12*i**3 + 11*i**3 - 846*i**3 as y + x*i**3 + m*i + l*i**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 + -2349.\nAnswer: -2346.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + c)*(0*c + 3*c + 0*c)*(4 + 2 - 3)*(c - c - 6*c**2).\nAnswer: -54*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289808 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52, 89, 126?\n\"Answer: 37*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404.8109 months in millennia?\nAnswer: 0.117067575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34366019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 456, 108, -840, -2688, -5736, -10284, -16632?\n\"Answer: -50*v**3 + 2*v + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -10. Let h(q) be the first derivative of -q**3\/3 + 3*q**2\/2 + 2*q - 7. Let p be h(3). Calculate the highest common factor of a and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -370 + 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*q + 12 = 0, -5*z - 3*q = -25 + 11. Put 2, 0.2, z in descending order.\nAnswer: 2, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221\/109 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00123028853 rounded to five dps?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**0*s*s)*s**7)**(9\/5)\/(((s\/s**(-2\/3))\/s)**(7\/6)*((s*(s**(-2)*s)\/s*s)\/s*s)**(4\/21)) assuming s is positive.\nAnswer: s**(451\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64738711*x**6 + 11430852*x**2?\nAnswer: -7768645320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let h(j) = 14*j**2 - 6*j**2 + 19*j**2. Give h(q(i)).\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v**3 - 17*v**2 + 24*v + 53. Let u = -96 - -91. Let m(g) = 3*g**3 + 9*g**2 - 12*g - 27. Let k(n) = u*m(n) - 3*h(n). Factor k(x).\nAnswer: 3*(x - 2)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1594*t - 724. What is the hundreds digit of x(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbe when three letters picked without replacement from {j: 1, b: 1, g: 1, e: 1, l: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9047972 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14327364*h**3 + 4028743 wrt h.\nAnswer: -42982092*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1027167\/442 less than or equal to -2324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -6*a + 36, 49*a - 53*a + 3*m = -20 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21*4\/6*1542\/(-3084)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*s**3 + 13*s - 2*s**2 - 8*s**2 + 10*s**2 wrt s.\nAnswer: -288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207*b**2 - 866*b**2 + 4*b**4 + 367*b**2 + 35*b**4 wrt b?\nAnswer: 936*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466740 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 48*k - 351. What is the thousands digit of c(33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 15. Is ((-1914)\/(-8))\/w*4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 + 12*y + 1. Calculate v(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 2*n + 36 - 119 + 43.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11730479153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1836)*-1)\/(sqrt(3) + sqrt(6)\/sqrt(2)*-4))**2 - ((sqrt(425) + 0 - sqrt(425))**2*-5 + -2)) + 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -885527644*-5\nAnswer: 4427638220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -90, -248, -486, -804, -1202?\n\"Answer: -40*q**2 + 42*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(5 - 5 + 5*p) - p - 2*p + 2*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 7*d**2 - 6*d + 30. Does 8 divide g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 82842?\nAnswer: -82842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from {m: 1, n: 1, y: 1, k: 1, c: 1, j: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3))**45\/((i*(i*i**6\/i)\/i)\/(i*i**(-1\/5))))\/((i**(-2\/3)\/i*i)**(-3\/2))**(1\/6) assuming i is positive.\nAnswer: i**(-1061\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -3 (b) 1\/2 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(2\/13)*m**11 assuming m is positive.\nAnswer: m**(158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -3*a + 5\/2*a**2 + 0*a**5 + 1\/10*a**6 + 0 + 0*a**3 + 0*a**4. What is the derivative of d(n) wrt n?\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(19)))**2 + (sqrt(2299) - -2*sqrt(2299))**2.\nAnswer: 6*sqrt(19) + 20719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = 4*o. Let q(z) = -11*z. Does 13 divide q(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -5.\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -69 - -107 - (-7 - -14)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 26. Let m be n(11). Suppose 2*f - f + s = 0, 4*f = s - m. Let r be 4\/(f*(-5)\/15). Solve 0*o + 45 = -5*x + r*o, 0 = 4*o - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 3. Let u be n(-6). Let p be 6\/u*30\/5. Suppose -p*f = -2*f - c - 40, 3*f = -c + 50. Calculate the remainder when 53 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46845*w - 23533*w - 23471*w - 22*w**2 - 19*w**2.\nAnswer: -41*w**2 - 159*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n = 5*z - 48, z + 24 = 2*n. Let i be (-45)\/n*6320\/(-15). Round i to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -3568.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4}. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -160.4976 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 52*t**3 - t**2 - t + 2. Let i be p(-2). Let u = i + 584. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -618 + 621. Suppose 3*k + 3*j = 0, 0*j - j = -p*k + 8. Which is the biggest value? (a) -46 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.15 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1112022202 (base 3) to base 6\nAnswer: -351245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 5)*14\/5. Let w = l - -56. Suppose 1 + 14 = s. What is the remainder when w is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpr when three letters picked without replacement from zvozvvztztrztzp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 1191 = -5*c + 1261 - 2264, 5*g + 15*c - 550 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157*f**4*n - 764*f**4 - 12*f**3 + 10*f**2*n - 212*f**2 - 2*f*n - 2*f + 25 wrt f?\nAnswer: -3768*f*n - 18336*f - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 481 - 101 = 0. Let v = p + -88. Which is smaller: 10 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15154, 15153, 15152, 15151, 15150?\nAnswer: 15149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 + (37 - 34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5725 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 2*v + 2*v)*(-v + 10377*v**2 + 7 - 5189*v**2 - 5185*v**2) to b*v**3 + o + l*v + k*v**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -45157.8117816 less than -0.7?\nAnswer: 45157.1117816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvdjdvddddjj. What is prob of sequence jdjv?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -12852?\nAnswer: 12847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2*(-12)\/(-18). Let i(j) = j + 3. Let p be i(a). Let h(d) = -d**2 - 2*d + 3. Let k be h(p). Put 4, k, -2\/5 in increasing order.\nAnswer: k, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1050*t + 1043*t + 516313. What is t rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/50)\/(-207 - (-22785406)\/110075)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 + 31*f + 65. Let t be z(0). Calculate the highest common divisor of t and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1487743*n**2 - 3089945*n?\nAnswer: 2975486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -771937, -772009, -772081?\n\"Answer: -72*s - 771865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7*y - 9 = 0, -3*y = -5*a - 24. What is the tens digit of 1028 - (a - -8) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 27 + 2071 = 0. What are the prime factors of q?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + d + 120 = 0, 3*d = 3*h + 6*d - 90. Suppose 0*u - 15 = 3*u, 0 = -2*i - 5*u + 41. Let c = h + i. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**7)*q)\/((q*q**(-2\/11))\/q) assuming q is positive.\nAnswer: q**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-6 + 9 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9612837.\nAnswer: 3, 13, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(-258)*(-4)\/6.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, 0.06, -1\/2, 1614, -3.\nAnswer: -3, -1\/2, 0.06, 0.5, 4, 1614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eteqttqqeeeetqtett. What is prob of sequence qqtq?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 1415592495.8?\nAnswer: 1415592495.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u + 6. Let n(y) = 10*y - 18 + 13*y - 3*y. Let c(s) = 6*n(s) + 17*p(s). What is c(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006415 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -26.7 (b) -1\/6 (c) 2\/11 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*((d\/(d*(d**(-2\/11)*d)\/d*d))\/d)\/d)\/d)*d*d)**(-17)*(d*d**5)\/d**4 assuming d is positive.\nAnswer: d**(-1066\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2757*g + 923*g - 8784*g - 2112*g - 9108*g as x + i*g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -5*u - 227. Which is the closest to 4? (a) 2\/5 (b) u (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 47. Calculate the lowest common multiple of 2 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1210121201101221?\nAnswer: -1210121201101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 3e?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3433292?\nAnswer: 2, 43, 19961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-2)\/14 - (-41072244)\/2226 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/(((q*q**(-1\/5))\/q)\/q))**(-48)*(q**(-1\/4))**(1\/84)*(q\/(q*q**(2\/7)))**7 assuming q is positive.\nAnswer: q**(222427\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1665056 - -1047053. Let g be 8\/(-40) + x\/(-15). Suppose -2*m = 2*m + g. Round m to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5887 - 5881. Let c = -44 + 74. What is the greatest common factor of c and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 405*z**4 + 3420*z**3 + 4295*z**2 + 1420*z + 140.\nAnswer: 5*(z + 1)*(z + 7)*(9*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10 + 5 - 3 - 7 + 5*u - 4. Let m be (12\/6)\/(2\/3). Calculate q(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**0*(x*x*x\/(x*x*x**(-2\/11)*x))\/x*x**(-1\/3)\/(x\/(x*x**3\/x))*(x**5*x**(3\/10))\/(x**(-2)\/x*x*x)**(-3\/13) assuming x is positive.\nAnswer: x**(29677\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 10*s**2 - s + 11. Let y be d(-7). Suppose -2*a + 3*l + 55 = 8*l, 4*a - l = y. Solve 0*u + 4*u = -2*w - 22, a = -5*u - 5*w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*g + q + 7, -6 = -5*g - 3*q. Let a be 8*(3 + (-1 - 0)). Solve 4*j = -g*j - a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/60 - 17*m**4\/24 + m**3 + 6*m**2. What is the least common multiple of z(-16) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5)*-3*5. Let u(v) = 2*v**2 + 0 + v**w + 0 + 0*v - 2*v. Does 10 divide u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**0*d)**49)**(-36\/7)\/(((d**(2\/5)*d)\/d)**(-18)*d**(-2\/11)\/(d\/d**(-5))) assuming d is positive.\nAnswer: d**(-26984\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:48 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9427.2 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 11:56 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2186, -3931, -5676, -7421?\nAnswer: -9166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3413 (base 8) to base 14\nAnswer: 92b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 2, e: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/3 - 692*w\/3 - 119716\/3 = 0.\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/6 - 91*m**3 - 274*m**2 + 2*m + 602. Factor f(s).\nAnswer: 2*(s - 274)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3050004 = -5*t + 2*i, -4*t - i - 2*i - 2439994 = 0. Round t to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*k = -3*k - 106, 0 = -k - 4. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2697980, -5395890, -8093800, -10791710, -13489620?\n\"Answer: -2697910*w - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/2 - 9459*w + 18915\/2.\nAnswer: 3*(w - 6305)*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 7 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180995 and 265.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3\/9 - 10*h**2\/9 - 2*h\/3 + 2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26254208 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.44 - 1.44. Put 0.3, -4, m, -0.5 in ascending order.\nAnswer: -4, -0.5, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 242 = -8*b. Suppose 2*q + 20 = b. What is the highest common divisor of 17 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -22. Let k(c) = -2*c**3 - c**2 - 5*c. Let q be k(-3). Calculate the greatest common divisor of q and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 2. Let i(a) = -9*a - 5. Let r be (4\/(-6))\/(-4*(-7)\/(-378)). Suppose s = r - 12. What is s*i(d) - 7*l(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 16*g**2 + 3 - 34*g**2 to n*g**2 + i + h*g and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 5*w**2 - 7*w + 7. Let r = -11 + 17. Let q be p(r). Let v(m) be the first derivative of -m**2 - m + 3. Determine v(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/73 - -100\/657. Let k = 3.1 - 3. Let l = -459 + 461. Which is the biggest value? (a) y (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Suppose -2*s + 141 = -5*w - s, -j*w = 2*s + 124. Let m = w + 48. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-1\/4)*x*x)*x**(3\/4))**35*(x**(-2\/11)*x\/(x*x**(-7)))\/(x**4*x**(-4)) assuming x is positive.\nAnswer: x**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3 - 1388*f**2 - 1384*f**2 + 6*f + 2769*f**2. Let j(u) = -3*u**2 - 12*u + 18. Let l be j(-5). What is h(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4278883.828 + -5324\nAnswer: -4284207.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 5*p**4\/8 - 5*p**3\/6 + 29*p**2. Let a(n) = -7*n + 3. Let q(y) = -14*a(y) - 6*v(y). Differentiate q(l) wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**3 - 5*f**2 + 137*f + 129. Calculate x(7).\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1806645 to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 6283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-19)*h*h**(-19)*h*h)**(-1\/28) assuming h is positive.\nAnswer: h**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 46*k + 20 + 34 + 31.\nAnswer: 46*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.7. Let u be (18\/(-7))\/1*14\/(-2). Let l be (-2 + u\/8)*56\/(-49). Which is the biggest value? (a) -0.5 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 476883744 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -87.66, -0.2, 4 in descending order.\nAnswer: 4, -0.2, -3, -87.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9.86, 4, -0.05, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttuoottuuttuwoou. What is prob of sequence uuow?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.14, -6, 0, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 435*q**2 + 16*q - 28. Let t be c(2). Calculate the greatest common factor of 48 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 656016.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 2*y + 5. What is x(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 762 + -114. What is the greatest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -2162, 870, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 6:18 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192 - -213. Calculate the remainder when v is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832052.\nAnswer: 2, 13, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-9)*(-1 - -4). Let p = 1 - x. Solve 9*v - 4*v = -p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230 and 40.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v**3 - 2*v**2 - 3*v + 2. Let w(b) = 11*b**3 + 3*b**2 + 5*b - 1. What is -4*l(y) - 3*w(y)?\nAnswer: 23*y**3 - y**2 - 3*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 79 - 34. Solve 4*q - q - 16 = 5*w, 4*q - 13 = h*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 6:25 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679744365?\nAnswer: 3, 5, 757, 59863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1016 (base 8) to base 5.\nAnswer: 4101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 4*l**3\/3 + 3*l. Let v be g(-1). Is (-1790)\/v - 6\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (0\/4 - 596\/8))*(-130)\/(-195)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 363 = -197. Let j be (1 + 3)*c\/(-32). Suppose 2*h - j = 18. Solve -3*m - m = h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17178799 and 0.1.\nAnswer: -1717879.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*k**2 + 0*k + 0 + 6\/7*k**4 + 16\/7*k**3.\nAnswer: 2*k**2*(k + 3)*(3*k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(39 + 23 - 18)*(-3*y + 3*y - 2*y + (0 + 1 + 0)*(5 - 4*y - 5)) to the form f*y + x and give f.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4217336?\nAnswer: -1\/4217336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 1:05 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from wiqyf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -58130613 and -58130610 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.21 (b) -0.3 (c) 85.88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 80278.98l?\nAnswer: 80278980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l**2 - l + 2683. Is i(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -13. Let h = w - 3. Suppose -2*k + 1 = -h. Let y(j) = -2*j + 4. Calculate y(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -24\/121?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + 1. Let b = -33 + z. Let i = b - 18.89. What is i rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 0*v + 5*v)*(-4*v**4 + 3*v**4 + 0*v**4 + (0*v**3 - 2*v**3 + 7*v**3)*(3*v + 0*v + 0*v)).\nAnswer: 14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -9 - ((1 - 5) + 2). Solve -1 - p = -4*q + 4*y, 2*q = -4*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 13 - 4. Suppose -12 = -h - w*h. Suppose 60 = 3*l + l. Calculate the highest common divisor of h and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/30 - (-3)\/(-9). Suppose 0 = 4*i - u*d + d + 16, 5*d - 29 = 3*i. Let v(r) = 2*r**2 + 2*r - 2. Calculate v(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9888*-3\nAnswer: 29664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2127 = -5*g - 105*g - 477 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18072 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1065)\/12)\/71*(-2)\/20*9?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 276\/(-759)*(-11)\/(-30).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2899 - 3199 + 5399)*(-1 + 2*b + 1).\nAnswer: -1398*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -583115 - -583137. Suppose -j = -3*u - 3*j + 7, u = -3*j. Let k(a) = 8*a**3 - 4*a**2 - 4. Let d be k(u). What is the greatest common factor of d and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 13. Calculate the lowest common multiple of g\/(-4) + 423\/36 and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65863 - 2.\nAnswer: -65865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Suppose d + 2 = s. Let z be -2*(-2)\/(-52)*-2. Sort z, -2\/7, s.\nAnswer: -2\/7, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = 4*t - t. Suppose 5*m = -2*b - t, -3*m - b = 2*b + 129. Let v = 44 + m. Which is smaller: v or 11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1442736356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from jejjjjjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1338 is divided by 361.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 5. Let z be x(17). Let t = 97 - z. Calculate the greatest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - -0.5. Let r = -0.9 + 0.92. Let v = 0.38 + r. Which is the biggest value? (a) y (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 3. Let r be u(-3). Solve 3*n - 7 = 5*c, -c - n - 2 + 7 = r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 + 2*a**2 + 3*a - 3. Let k be n(1). Let w = -53 - -52. Is k >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.01588.\nAnswer: -0.0794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -702 + 709. Solve 4*i + t = f, -i = -4*f + 3*i - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5240 = 56*s + 2160. Suppose 5*w + 2*b - 10 = 0, 4*w + 9 = -0*w - 5*b. Suppose 5*g = w*g + 11. What is the greatest common factor of g and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 707 + 214 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 3103012.\nAnswer: -124120.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1188 and 797346?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/41, 2, -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35827128?\nAnswer: 2, 3, 89, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003793366 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**3\/3 - 129*d**2\/2 + 496*d + 3. Let c(v) = -2*v. Give c(y(u)).\nAnswer: -4*u + 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 - 6*v**5 + 7*v**5 + (2*v + 0*v - 3*v)*(0*v - 2*v**4 + 0*v) + (3 - 3 - 2*v)*(-v**2 + v**2 - v**4).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 3, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021 + -100021?\nAnswer: -111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0 - 4) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391e9 (base 15) to base 13.\nAnswer: 65205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/23 - 134456*u**4\/23 - 941290*u**3\/23.\nAnswer: 2*u**3*(u - 67235)*(u + 7)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/17, 0.02, 8, 3, 0.044?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 10, e: 4}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 44, -134, -5, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 33. Let z be ((-16)\/6)\/(-4)*-6. Let y = 521 + -518. Sort z, d, y in decreasing order.\nAnswer: d, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -24. Solve g = -o - 5, -o + 1 + q = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8 = 7. Suppose 0*f - 57 = -u*f. Suppose h + 40 = 5*r + 6*h, 3*r - 5*h = 16. What is the remainder when f is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 168.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0 (c) -5 (d) -1\/2 (e) -0.286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + u. Let j be b(-1). Let l be (1 + -1)*(-1)\/j. Suppose l = -i + 11 - 1. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 + 169. List the prime factors of v.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -4, -322 in ascending order.\nAnswer: -322, -4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7))**(-37)*q**(-1\/4)*q*q**(-2\/7) assuming q is positive.\nAnswer: q**(7265\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phxqkzk. What is prob of picking 1 p and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2767009 < -2767011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 39561801417.6+6\nAnswer: 39561801423.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 - 7215*w**4 + w + 204 + 7213*w**4 + 14 to the form u*w**4 + x*w**3 + m*w + s + b*w**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*z**3 + 2228 + 2035 + 2233 - 6496.\nAnswer: -65*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95 and 6689332.\nAnswer: 635486540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 + 256*a**2\/3 + 262*a\/3 - 172.\nAnswer: -2*(a - 129)*(a - 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3 - 7 + 4 - 7*h**2. Let g(r) = -3*r. What is n(g(d))?\nAnswer: -63*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*i**3 + 310*i**3 - 160*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/((-2)\/6). Suppose 0 = -u*o - 13 + 19. Suppose o*y - 4*g - 52 = -1, 4*g = -12. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*35\/(-30)*-6. Suppose -i*f + 21 = 14. Solve 0 = -2*c + 3*j - 1, -2*j + f = 2*c + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 90. Let t be w(0). Calculate the common denominator of 47\/10 and (-1083)\/t - (-4)\/(-48)*4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 0*d**2 - 5*d**2 + 4*d**2 - d**2. Let k(i) = -3*i**2. Let g(b) = 4*c(b) - 3*k(b). Let m(a) = 39*a. Determine m(g(o)).\nAnswer: 39*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3294 meters in millimeters?\nAnswer: 10329.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123)\/6 + (-10945)\/4378.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**2 + 9*p + 11. Let j(t) = t**2 - 2*t - 2. Let f(x) = -11*j(x) - 2*s(x). Let n = -8 - -5. Determine f(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-10))\/(11\/330*6))\/((-324)\/120).\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 9*o**2 - 7*o - 3. Let c(h) = h**3 - h. Let q(j) = -c(j) - s(j). Let p be q(8). What is the derivative of -2 - 5*v**p + 2 - 3 wrt v?\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0596552091 rounded to 5 dps?\nAnswer: -0.05966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13664*p - 270 = -13754*p. Factor -p*x + 0 - 3\/5*x**2.\nAnswer: -3*x*(x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603901?\nAnswer: 603901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 61, 98?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*g = 2*n + 32690, 0 = -2*g - 10. Let c be (-10)\/45 - n\/27. Calculate the highest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1031*o + 0.\nAnswer: -1031*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38161 + 49448 + 49193 = 63*o. What is the least common multiple of o and 24?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 921*v - 3. Let q(a) = -153*a. Give r(q(o)).\nAnswer: -140913*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-29)\/(-29) - (-3 - 0). Solve 14*f = n*f + 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -56, -194, -440, -824, -1376, -2126?\nAnswer: -3104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + 3*r. Let w(o) = 0 + 6*o**2 + 4*o + 0. Let q(x) = -4*j(x) + 3*w(x). Let i(b) = 29*b - b**2 - 5*b**2 - 7*b - 22*b. Calculate q(i(v)).\nAnswer: -72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/6)\/(5850\/(-25350))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134 (base 6) in base 5?\nAnswer: -2044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.69 - 38.79. What is the biggest value in 80, j, 5\/3, 0?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/17 - 1382874*z\/17 + 103726800\/17.\nAnswer: -2*(z - 75)*(z + 691512)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43690670 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 15. Let d(f) = f**3 - 7*f**2 + 8*f - 9. Let n be d(x). Sort 5, -0.1, n in descending order.\nAnswer: 5, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/63)\/((x*x\/(x\/x**19)*x)\/x) assuming x is positive.\nAnswer: x**(-1258\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2911 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -150018050*x**2 - 634999296?\nAnswer: -300036100*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -298920*q + 4483824. Calculate g(15).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105128 + 209618. Suppose r = 32*v - 6134. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1128 and -31\/144?\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54021804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h + 5. Let r be z(-5). Let d be (24\/r)\/(2\/(-35)). Suppose -5*w + 31 = k - w, w = -3*k + 104. Calculate the highest common factor of k and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2195 divide 194874295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:36 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 122519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1626.5 - 1626.2. Which is the second smallest value? (a) 2\/19 (b) -8\/121 (c) -0.1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-114)\/(-152) - (-7407)\/(-4). Let f = -438 - h. What is f rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20639867*p**5 + 1470*p**2 + 3439*p wrt p?\nAnswer: -1238392020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9636156 is divided by 4071.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**8\/210 + 2*j**7\/175 - j**5\/75 - 12*j**2. Find i such that v(i) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 759582 and 6498?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*g - 5 - 166*g**2 + 25*g + 2*g**4 - g**3 + 164*g**2 to t*g + y*g**4 + c + b*g**3 + v*g**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 241*m - 77?\nAnswer: 241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Let z(l) = 5 + 1 - p + 2*l**2. Is z(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, 6 in descending order.\nAnswer: 6, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -14) + -2 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6322612378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14536701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 31 - (0 - (2 + 2)). Suppose -g*s + 4 = -34*s. Solve 2*m**2 - s*m + 3 + 1 - 2*m + 0*m = 0 for m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 0*v + 2*v = 18, -5*v - 7 = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)\/sqrt(225) + sqrt(56) + 1*sqrt(896))\/(sqrt(96)\/(sqrt(1452)*-3 - sqrt(1452))))**2.\nAnswer: 9161152\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108758 or 108761?\nAnswer: 108761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217 - 48 - 61 - 55 + 47*r - 55.\nAnswer: 47*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 488\/(-16)*84152\/(-38308)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = 4*o + 12, -2*j + 519*o - 213 = -6*j + 514*o for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)*4 + (sqrt(11) - sqrt(176)*-1) + -5.\nAnswer: -5 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -403*b**2*f*k**2 - 15*b**2*k**3 + 38*b**2 - 53424*b*f**3*k**3 + 62*f**3*k wrt k.\nAnswer: -90*b**2 - 320544*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.227 + -0.173. Put -2\/47, q, 2\/13, -5 in decreasing order.\nAnswer: 2\/13, -2\/47, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-12))\/((-2)\/(-4098)). Suppose -4*j + t = 1635. Let x = -77 - j. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 746 in decreasing order.\nAnswer: 746, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56621364?\nAnswer: 2, 3, 71, 66457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 14. Let y be r(8). Let j = -22 - -31. What is the highest common factor of j and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 1. Let h be d(-2). Let p = -0.2 - -0.3. Let s = 4.1072 + -0.1072. Which is the closest to p? (a) -2\/3 (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220343*r + 37774*r - 4224*r.\nAnswer: -186793*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872138.\nAnswer: 2, 19, 59, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 + (-15)\/(-3). Let i(g) be the second derivative of -1\/20*g**k + 0*g**4 + 0 + 0*g**3 - 3\/2*g**2 + 3*g. What is the derivative of i(m) wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -a - 0*a. Let f(c) = a*c - 2*c - 7 + c. Let v be f(9). Which is greater: 5\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8*q = -3*k + 10, -4*k - 8 = -4*q. Let y be (-4 + 3 - -18)*q. What is the greatest common divisor of 85 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:27 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3981, 1, 399, 26, -4, 5 in descending order.\nAnswer: 399, 26, 5, 1, -4, -3981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-8)*(-3 + 11). Suppose 2*r + 2 = -h. What is the biggest value in -0.4, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006806 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -142.3 in -1, 1.1, 2\/15, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13124, 48919, 108578, 192101, 299488, 430739, 585854?\n\"Answer: 11932*h**2 - h + 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 130\/(-2)) + -3. Let n = j + -35. Suppose -5*k + n = -13. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 - 3837*g**2 - 3827*g**2 + 7656*g**2 as c*g + w + o*g**2 and give w.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 379\/1 - (-6)\/2. Let c = k + -181. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 831793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161*n**3*t**2 + n**2*t**2 + n**2 + 34 wrt n.\nAnswer: 966*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - q = 178, -3*w + 4*w = -5*q + 100. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -83517 (base 11) in base 10?\nAnswer: -121744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, -534, -28, -2.\nAnswer: -534, -28, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 30*n - 2082 = 0. Is n 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 285 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -49, -38, -5, 62?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, and 2 m when four letters picked without replacement from {m: 2, v: 2, n: 1, k: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 5*j**3 - 15 + 5 + 3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:20 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 11:11 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*u - 374 = -34, 0 = -5*u - 15. Let b = -82 + h. Suppose 4 = 5*q - b. Solve -k - k - 2 = 0, 0 = -g - q*k - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5\/5 + 23*g**4\/5 - 151*g**3\/5 - 383*g**2\/5 + 808*g\/5 + 132 = 0. Calculate g.\nAnswer: -11, -3, -2\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78208*x - 156410*x - 24*x**2 - 9*x**3 + 6*x**4 + 3*x**5 + 78190*x.\nAnswer: 3*x*(x - 2)*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14960, -14961, -14962?\n\"Answer: -s - 14959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 13 + (-13 - 4) + -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, -3, -4, -16, -9 in decreasing order.\nAnswer: 4, -3, -4, -9, -13, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2695 and -27\/35?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330200 - 1?\nAnswer: -330201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 106303 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: Let h = -3.6 - -0.6. Let n = 6 + -2. Let b = -0.52 + -0.08. What is the biggest value in n, h, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1300289194?\nAnswer: 2, 137, 571, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 4*j**2 - 12*j + 3. Let t be q(-2). Suppose -t*p + 1708 = 3*b + 2*p, -p = -2. What are the prime factors of b?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15023*w**3 + 13354*w**2 wrt w.\nAnswer: -90138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d4 - 1?\nAnswer: 2d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*d = 76*d + 21546. Calculate the greatest common divisor of 589 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21100 and 1318750.\nAnswer: 2637500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5724089 - 2170208. Let x be (-1 + 0 - 1753882) + -73 + 75. Let r = z + x. Round r to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -12.5. Let t be (-1 - (-76)\/(-28)) + 4. Let w = -1 - -1. Which is the closest to t? (a) -0.2 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1283 * 2.5\nAnswer: 3207.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.2879 to one dp.\nAnswer: 138.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.3 + 23. Let x = -1.37 + -29.63. What is the smallest value in x, 1, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 6*v + 6. Let n = 117 - 61. Suppose -38*p = -n*p + 72. What is the remainder when p is divided by q(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - ((0 + 2 - -1) + (-10 - -13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.75 + 10.34. Let w = s + -4.8. What is w rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 373, 370, 367, 364, 361?\n\"Answer: -3*r + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*k - 915 = 435*k - 299 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -p - 4, 2*m - 4*p - 3 = -1. Let u be 92*m - 4\/2. Suppose -u = -5*c + 30. What is the highest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.7671 times -0.2\nAnswer: -1.55342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2 + 2 - 5. Suppose -2*c + 17 = 3*k, 3*c + 3*k + 2 - 20 = 0. Let v(p) = -p**2 - 5. Let s(l) = c*v(l) - 5*h(l). Let u(t) = -t. Calculate s(u(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 + 14. Let n = l + 101. List the prime factors of (1 - 665\/n)\/((-2)\/(-8)).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -24*a + 10. Suppose -8*z + 8 = -9*z - f, 4*f + 42 = -5*z. Let y(w) = w - 1. What is z*y(d) - t(d)?\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + c - 6. Let n be a(6). Suppose 0 = 4*i - 8*i + n. What is the remainder when 33 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12250*r**4 - 26304.\nAnswer: 49000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + ((-96)\/(-21))\/1. Let a = 0.0084 - -0.7916. Sort f, a, -2\/19.\nAnswer: -2\/19, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + 3*n + 4*n)*(2*n + n - 5*n) - 2 - 2*n**2 + 2 + 3844*n - 253*n**2 - 3844*n in the form i + s*n + z*n**2 and give z.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l - 5. Let k be p(3). Let j(v) be the first derivative of v**2\/2 - 7*v + 1. Let n be j(6). Is n at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -151*w**2 - 92*w. What is u(1)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 420 = 4*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2627028*x*y**2 - 7042518*y**2 with respect to x.\nAnswer: 2627028*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -154 divided by 14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8 - -18) + -6 - 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*t = -414*t - 192 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (2 + -2 - (5 + -5)) - 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -16837010 to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*i + 24642, -2*i + 51*d + 16429 = 50*d. List the prime factors of i.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 1. Let h be p(7). What is the highest common factor of h and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/3 + (-35)\/60. Let a(y) be the first derivative of y**3 + 0*y + 0*y**2 + g*y**4 - 4. What is the third derivative of a(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 679791078.\nAnswer: 679791078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 832370 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050251 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 29520045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a**3 - 5299651*a + 26260125?\nAnswer: -9*a**2 - 5299651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187148 = 172*s - 184224 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292740 divided by -85.\nAnswer: -3444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a micrometer in nanometers?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 8:39 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-20))\/(9 - 561\/34)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4730558232.\nAnswer: 2, 3, 167, 1180279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -2291*r**6\/120 - 359*r**3\/3 + 94*r**2 - r. What is the first derivative of c(o) wrt o?\nAnswer: -6873*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516230 and 390.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252198 by 9.\nAnswer: 28022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -977, -2441, -4803, -8243, -12941?\nAnswer: -19077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j + 2. Let r be 4 - (2 - 2 - -3). Let n(v) = -2*v + 0*v - r + 5*v + 2*v. What is -3*k(u) - 5*n(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23819422 + -32899872. Let t = 31819294 + d. Round t to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04740424049 to three decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nutmujn. What is prob of sequence jm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1071 - -325. Let w = x - -1138. Suppose -y = 3*y - w. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470960 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1137536279?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**2 + 18*y + 15. Calculate c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k**3 - 8. Let t(u) = u**3 + 1. Let g = -140 + 96. Let a(h) = g*t(h) - 6*l(h). Differentiate a(v) wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22596.\nAnswer: 2, 3, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(12\/4 - 1). Suppose z*n + 4*l - 65 = -3*n, -3*n + 47 = -5*l. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**6\/120 - 7*w**5\/60 - w**4\/12 - w**3 + w**2. Let n = -85 + 78. Determine t(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 335*g**2. Let z(v) be the third derivative of -7*v**4\/24 - 3273*v**2. Calculate z(c(b)).\nAnswer: -2345*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k - 7. Let m be t(-5). Let v = -18 + m. Suppose v = 6*s - s. Solve c + 8 - 4 = s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5))**(-43) assuming t is positive.\nAnswer: t**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 3847*t**6\/3 - 84*t**3 + 4*t + 8450. What is the third derivative of y(l) wrt l?\nAnswer: 461640*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*i + 425 - 96 + 103. Which is the fourth biggest value? (a) -23 (b) -11 (c) 1\/2 (d) i (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9852879080069\/501399612460296 - -7\/4838737068. Let y = -7\/1576 - q. Let s = 7599\/1841 + y. Calculate the common denominator of 89\/6 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153568.5858 nanoseconds in weeks?\nAnswer: 0.0000000002539163125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 - 223*i - 2143. Give j(-59).\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -198*s**2 - 5. Let q(p) = 3069*p**2 + 77. Calculate -77*j(m) - 5*q(m).\nAnswer: -99*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4 and -61\/223918?\nAnswer: 447836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let m(z) = 2*z**3 + z**2 + z. Let b be m(t). Is -1 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 4:56 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 0*s**4 + 0*s**4)*(9*s - 4*s + s) + (2*s**2 - 3*s**2 + 0*s**2)*(s**3 - 4*s + 4*s) + 4*s**5 - 4*s**5 + 5*s**5 - 3*s**5 + 3*s**5 - 2*s**5.\nAnswer: -4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*k + 49*k + 16 = 3*m - 45*k, -2*m - 3*k = -13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 0)**2 + 2 + sqrt(153) + -2 + sqrt(153) + 0 + 1.\nAnswer: 6*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12075 - -12131.83. Let i = 56.9 - c. Which is smaller: -0.2 or i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, b: 3}. Give prob of sequence bbb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -23 + 62 - 49.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/588 and -43\/3220.\nAnswer: 67620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31488103 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1678.49 and -2.\nAnswer: -3356.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 66. Suppose -a - 120 = -5*g, -q*g + 3*a + 8 = -112. Let w = 60 - 60. Solve w = -4*x - g + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(80)*2*1*3 + (sqrt(80)*1 + -4 + sqrt(80) - 6*(sqrt(80) + 1 + sqrt(80)))))**2.\nAnswer: 1280*sqrt(5) + 20580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 11*l + 16. What is q(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**6\/30 + o**5\/5 - 37*o**4\/12 + 34*o**3\/3 - 18*o**2 + 90*o. Factor z(r).\nAnswer: (r - 2)**2*(r - 1)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 4:20 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1347.69 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b**2 + 157*b + 39. Give o(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14112 and 34004.\nAnswer: 119966112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, i: 11}. Give prob of picking 1 i and 1 f.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135216903.\nAnswer: 3, 3491, 12911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -578222306 and -8.\nAnswer: -578222314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**4 - 638612*f**3 + 3462999*f.\nAnswer: -60*f**2 - 3831672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwgwngwwwwwpnwwg. What is prob of picking 2 w and 1 n?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10210221 (base 3) to base 5\nAnswer: -42104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8909*d**3*u + 10386*d**3 - 2*d wrt u.\nAnswer: -8909*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -32*c + 24. Let j(o) = -17*o + 2. Let n(w) = -6*j(w) + 3*l(w). What is n(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 2*g - 1. Suppose -3*o - 2*o = -5. Let p be v(o). Suppose 0 = -p*f + 41 + 61. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-113\nAnswer: 22.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 5. Let f = -4 + w. Which is the second biggest value? (a) -2 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304043591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 36 = -96 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -61, -139, -237, -349, -469?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158102, -158115, -158152, -158225, -158346, -158527?\nAnswer: -158780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 11:00 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c + 2. Let x be m(-1). Let j be (-72)\/54 + 50\/x. Solve 5*u = -2 + j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5013292 and 5013298 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 7*z. Suppose 3*a + 1 = 7, -5*r + 4*a - 8 = z. Let u(y) = -y**3 + 8*y**2 - 8*y + 9. Let n be u(7). Solve -n*v + 3 + 5 = r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**2 - 28*t - 6. Suppose -10*n = 3*n + 104. What is w(n)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -606 - -7159?\nAnswer: 6553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -26*q**4 - 8*q**3 - 15. Let s(a) = -9*a**4 - 3*a**3 - 5. Let f(u) = -8*s(u) + 3*t(u). Differentiate f(x) wrt x.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 15*o**3 + 714*o**2 - 299*o - 541. Calculate z(-48).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0338113483 rounded to 6 decimal places?\nAnswer: 0.033811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/11 (b) -27 (c) 0.097\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sixtssxibnxbb. What is prob of picking 1 n and 1 s?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -814 + 10?\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/4)\/((-15)\/(-120)). Suppose 21 - 57 = 4*q. Let p be (-12)\/q*15\/o. What is the greatest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**2 - 4*v + 6. Determine j(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 40. Let l = o - -27.92. Let t = -0.1 + l. What is t rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 377 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b3 - -9?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((45\/2)\/3))\/((-40)\/20)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 4) in base 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**2 - 2 + 2)*(23 - u - 56 + 28).\nAnswer: -7*u**3 - 35*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*28.87.\nAnswer: 11.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20211211002202 + -2020?\nAnswer: 20211211000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78167519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2767\/38738*(-154)\/4.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -209 - -417. Suppose 14*l + 45 - 773 = 0. Calculate the highest common divisor of o and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16863249 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42034 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -198. Let c = 99 + s. Suppose 4*d = c - 68. What is the lowest common multiple of d and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 807*c + 31. Let m(p) = 1612*p + 57. Calculate -6*m(t) + 11*n(t).\nAnswer: -795*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(8235\/27*14\/((-840)\/(-18))).\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131412907.\nAnswer: 17, 109, 70919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 43*c**3 + 10*c**2 - 22*c - 10. Let s(k) = 42*k**3 + 12*k**2 - 23*k - 12. Give -5*s(j) + 6*x(j).\nAnswer: 48*j**3 - 17*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18529291 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5075, 11, 6 in decreasing order.\nAnswer: 5075, 11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11408225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 24*c**2 - 51*c - 45. What is s(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 566331 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11003 + 11270. Is 264 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -66?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 6*u**2 + u - 4. Let n be w(-5). Suppose -q = -3*q + 4*j + n, 5*q - 7 = -j. Calculate the greatest common factor of 14 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*i = 58, -x + 4*x - 5*i = 47. Let t = -19 + x. Let v be (78\/(-15) + 2)\/(t\/250). Calculate the greatest common factor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.01, -4\/2717, -3, 6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*a + 6 + 4 = 0, -4*m + 6 = -5*a. Suppose -m*d = 2*f + 140, -5*d - 42 = -4*d + 4*f. Let x = 36 + d. Solve 0*n + x = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 636906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 19 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83515032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3344 + 352. Suppose 0*g = -6*g + o. What is the remainder when g is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**4\/8 - 11463543*w**3\/8 + 14601447161775*w**2\/8 - 6199467834224143125*w\/8 + 18598140677861578125\/4 = 0.\nAnswer: 6, 1273725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87847 to the power of 1\/2, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0979 - 0.1. Round r to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 15. Let m(z) be the second derivative of 0 - z + 1\/2*z**k - 1\/6*z**3. What is the first derivative of m(l) wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(4 + -1 + sqrt(243)) + 2)**2.\nAnswer: 576*sqrt(3) + 2072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 80 = -5*f, -4*n + 88 = 4*f - 0*n. Suppose 2*v = 4*q + 2, 0*v = 5*v + 4*q - f. Solve v = -t - 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o - o + o)*((0 + 0 + 2*o)*(2 + 1 - 2) + 4*o - o - o - 3*o + 0*o + 5*o) as f*o + d*o**2 + n and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 870 = 874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1381\/7 - -197. Let k be -5 - (-3 - 0\/(-5)). Which is the nearest to -2? (a) -0.5 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 21, 19, 3, -33, -95, -189?\n\"Answer: -f**3 + 2*f**2 + 7*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 106*f + 80. Let g be j(-3). Let z = g + 1765. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -7*k + 6*k. Suppose -9*v - k = -12*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2937125890 rounded to the nearest one million?\nAnswer: 2937000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8164 and 1745848?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*v - 2677 + 205. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6832\/2063 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by (-1)\/6*-9*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2580 - 3?\nAnswer: 2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 12:52 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/430 and -36?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 2. Let l be f(-5). Let p(q) be the second derivative of 1\/20*q**4 + 0 + 0*q**l + 0*q**2 + 2*q. Determine r, given that p(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l - 17. Let z(q) = -q + 6. Let b(u) = -6*a(u) - 17*z(u). Let i be b(-4). Suppose -j - i*j = 0. Is -1\/9 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5455, -1\/3, 1, 0.8, -1 in decreasing order.\nAnswer: 5455, 9, 1, 0.8, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 + -176. Let r(i) = 2*i + 94*i**k + 4*i - 6*i. Let s(d) = d. Give s(r(t)).\nAnswer: 94*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -11*o**2 - 1165*o + 2325. Give d(2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2. Suppose -z + 5 = m, 13*m - 12*m = 4*z + 5. Let c(s) be the first derivative of z*s + 0*s**2 + 2\/3*s**3 - 17. Give c(n(t)).\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -521*t + 530*t - 27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 9. Let y be -24*(3 + (-5)\/u). Let z = -6 - y. 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: Which is the closest to 1? (a) -0.4 (b) 7\/29 (c) -42 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 60*n**2 + 148*n + 1212. Give p(57).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*a + 30. Let c = -665 - -800. Suppose z + 4*z + 3*l - 265 = 0, -3*z + c = -3*l. What is the highest common factor of a and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -8 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 + 145. Let i(n) = 7*n - n**3 - 6*n**2 + 2 + n**3 + n**3. Let q be i(5). Calculate the highest common factor of q and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**3 - 72*t**3 - 42*t**3.\nAnswer: -102*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 17*i + 87 = -43 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/9, 0.2, -278?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 - 75069*o + 76756*o)*(-2 - 1 + 5).\nAnswer: 3374*o - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 147542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f - 77*f = -27. What is the greatest common divisor of 117 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r**3 - 7*r + 4. What is n(3)?\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or 2.9088?\nAnswer: 2.9088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*o = -145*o + 995. What are the prime factors of o?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*9*16\/1008.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -51. Let q = 727377.300005 + -727405.3. Let o = x + q. Round o to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4913\/5 - 982. What is the smallest value in -3, 4\/15, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/690 and 53\/200081094.\nAnswer: 1000405470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 4*x**2 - 6*x - 7. Let r be q(-5). Let i be 20\/(36\/15 + r). Suppose -4*l = l - i. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 39*h - 10. Let o(d) = 26*d - 7. What is -7*o(x) + 5*v(x)?\nAnswer: 13*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a factor of 64396726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgss. What is prob of sequence gss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325643917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*j + 6 = 0, 3*j - 2*j = -g + 2. Let i(o) be the first derivative of 0*o**3 + 0*o**g + 0*o**2 - 1 - 3*o + 3\/5*o**5. Differentiate i(c) wrt c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r + 4. Let z(b) = -4*b - 5. Let m(j) = 5*t(j) + 4*z(j). Let s(d) = 937*d + 938*d - 1810*d. Calculate m(s(v)).\nAnswer: -65*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*w = 693, d = 3*w - 0*w + 169. Suppose 74 + d = 6*f. What is the remainder when f is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2637*g = 2613*g + 96 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 20 = -183*t + 187*t, -5*t = -s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 5*q**2 - 8*q - 7. Let m be d(-6). Solve -3*i = -5*j + 25, 5*i + 12 + 3 = -m*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 901837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 10*i - 28*c + 23*c, 0 = -i - 4*i + 5*c - 60 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 226, 891, 1990, 3517, 5466?\n\"Answer: -l**3 + 223*l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15178, -14941, -14294, -13033, -10954?\n\"Answer: 34*h**3 + h**2 - 4*h - 15209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and 2.875.\nAnswer: 3.1625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -38*q - 13. List the prime factors of x(-8).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2052 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**8\/84 + l**6\/15 - l**4\/6 + l**2\/2 + 14. Let g(t) be the second derivative of s(t). Factor g(z).\nAnswer: -4*z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmgmmgmmm. What is prob of picking 3 m?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-18)\/(-8)) + (-202)\/(-8). Suppose -5*g + 15 = x. Let d(w) = -w**3 - 3*w**2 - 2*w + 2. Calculate d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 660360\nAnswer: -1\/132072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1*((1 - -1) + -1)). Solve i + 0 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 8. Suppose -s = s + u + 20, 0 = s - 2*u + 20. Let y be c(s). Solve -d - 25 = y*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/132)\/((-4)\/264)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 121*w**7\/105 + 281*w**5\/60 - w**2 + 7*w. What is the third derivative of t(g) wrt g?\nAnswer: 5808*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2341*l + 11260051 - 503*l - 11260051.\nAnswer: -2844*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -61, 2, 1.8, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 15) to base 14\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 - (-31 - -92) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/13, 2\/7, -3\/7, 0.45, -1\/5?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2. Let a = 8 + -8. Let p = a + 1. Let t(c) = -p - 4*c**2 + c**2 + 1. What is d(t(o))?\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*a**2 - 5*a**6 + 18*a**6 + 8*a**5 - 8*a**6 - a**6 wrt a?\nAnswer: 480*a**3 + 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161 and 437.\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 3 - 6 - 2*x - 2*x + 3*x - 2*x + (4*x - 6*x + 3*x)*(-1 - 3 + 3))*(0*x - 6*x + 3*x).\nAnswer: 9*x**2 + 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -39*r - 817. Let i be y(-21). What is the greatest common divisor of 19 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2\/i**(-5))\/((i*i**(1\/2)*i*i)\/i)**(1\/3))\/((i*i**(1\/4)*i)\/(i*i**(-2)))**(2\/19) assuming i is positive.\nAnswer: i**(332\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 356*g**2 + 442*g - 30481. Calculate j(357).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2975989*b**3*r**2 + 679*b**3*r + 11*b**3 - 7*b*r - b - 2*r wrt r?\nAnswer: 5951978*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-5)\/(-25)*25\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17852 by 148.\nAnswer: 4463\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -50, -1, 0 in descending order.\nAnswer: 0, -1, -3, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050212377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*v**3 + 55*v**2 - 55*v**2 + (-1 + 1 - 2*v)*(-3*v**2 + 4*v**2 - 3*v**2) - 4*v**3 + v**3 + 2*v**3.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001270973 rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 5:36 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -8.5?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -102526 (base 9) in base 7?\nAnswer: -342441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 279018*j - 33*j**2 - 267 - 65*j**2 + 10*j**2 - 279018*j wrt j?\nAnswer: -176*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*w + o, -176 = 2*w - o - 171 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 7:23 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**2 + 9*y - 2 + 14*y**2 + 31*y - 19*y**2 as o + i*y + l*y**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -29. What is the third derivative of 0*o**2 - o**2 - b*o**5 - 4*o**2 wrt o?\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5368 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79083177 + -56112271. Suppose 2 = 3*t - 7. Suppose -5*w + o - h + 6370908 = 0, -6 = t*o. Round w to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -223, -92, 39, 170, 301?\n\"Answer: 131*y - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501*o - 502*o + 20 = -3*u, -2*u - 35 = -5*o. Solve -27*n - o + 32 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = 0. Suppose -3*g + 12 = v, w + 21 = 2*g + g. Let b(k) = -k**2 - 10*k - 5. Let t be b(w). Solve 5*a + 11 = -t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1 - 156*n - 18 + 13 + 6. Let z(r) = -4*r. Calculate z(v(h)).\nAnswer: 624*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 - 63. Let a(d) = d**3 + 4. Let s be a(0). Let p(v) = -v**2 + 4. Let b(j) = -1. Determine o*p(r) + s*b(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = 3*q - 85. Let i = 132 - 56. Let s = q - i. Calculate the lowest common multiple of s and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9 - 3*b**3 + 0 - 8 with respect to b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(8) - (1 + 3*sqrt(2) + sqrt(2)).\nAnswer: -sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8824017 is divided by 157?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 38956129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24871189.\nAnswer: 7, 1823, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -45 + -20 + (6 - (-1 + 1))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n - 176*n = 47*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20024391 from 0.27.\nAnswer: 20024391.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v + 35. Suppose 0 = 40*n - 46*n + 24. Let r be q(n). Let g(a) = a**3 - 8*a**2 + 7*a + 8. Calculate g(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 743211 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1521 times -4.28614\nAnswer: 6519.21894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20797 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-5))\/(12\/210). Let q = z + -5. Calculate the remainder when q is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4576*r**4 - 5833?\nAnswer: 18304*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 2 - 2 + (4 - 7 - 5*t**2 + 5)*(-18 + 36 + 44)*(-1 + 1 + 4).\nAnswer: -1242*t**2 + 496","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -575438736262 less than -5.6?\nAnswer: 575438736256.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*b - 2, -b = -g - 0 - 1. What is the remainder when 17 is divided by (-2)\/3*63\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 4*z**2 + 9*z + 21. Suppose -8*o + 20 = -4*o. Suppose -3*s = -2*w + 3*w - 3, -w = -o*s + 21. What is the tens digit of j(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a. Suppose -12 - 8 = 5*o. Let p be (-4)\/18 + (-87)\/(-27). Let v(w) = -w - 2*w - 6*w + p*w. What is o*v(x) - 7*t(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*t**2 + 15 + 1 + 14 + 487*t**2.\nAnswer: -2*t**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1493, 0, -2, -1\/3.\nAnswer: -2, -1\/3, 0, 1493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + -90. Let a(n) = 41*n**3 - 2*n**2 + 1. What is the remainder when (-10)\/r*(-8658)\/185 is divided by a(1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -18. Suppose 0 = -u + 32 + d. What is the remainder when u is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104687 + 732810\/7. What is f in u*f + 5\/7*f**2 - 4\/7 = 0?\nAnswer: -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2075 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**5 - m**3*z - 26180*m**2*z + 8*m*z + m - 4*z wrt m.\nAnswer: -20*m**3 - 6*m*z - 52360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s + 138 = 32657. What is the remainder when s is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -187 + 190 + x**5 - 3*x**4 + 0*x**4 + (-3*x + 4*x + x)*(-5*x**4 + 3*x**4 + 4*x**4).\nAnswer: 5*x**5 - 3*x**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/2, -1\/4, -4, -1.6 in descending order.\nAnswer: 1\/2, -0.2, -1\/4, -1.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*(sqrt(448) + sqrt(448)*2) + sqrt(448)))**2.\nAnswer: 4043200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 2*o - 2*o + (43*o**5 + 21*o**5 - 18*o**5)*(-1 + 5 - 2).\nAnswer: 90*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-180)\/(-140))\/((-9)\/(-105)). Solve 3*d + 4*m = -i, -3*d - 12 = 36*m - 33*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24503 (base 11) in base 13?\nAnswer: 1304a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 680*w**3 - 7 + 188 - 181.\nAnswer: 680*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = r - 12, 2*w + 5 + 3 = -r. Suppose -4*u + 12 = 3*k, r*u - 20 = k - 6*k. Solve u = -3*i + i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 12.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -284, -1290, -2974, -5342, -8400?\n\"Answer: -q**3 - 333*q**2 + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 0, -3*m + 5*m + 4*k = 12. Factor 162 + 21*x**2 + 26*x + x**3 + 19*x - 37*x**m.\nAnswer: (x - 9)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7898 - -38415. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x + 14. Let d(m) = -m + 1. Let g(b) = -3*d(b) + y(b). Let v(u) = -1. Let q(i) = -g(i) - 4*v(i). What is the tens digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 42698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**4 + 0*l - 2*l**4 + 23*l - 13*l + 8*l**2 + 860*l**5 wrt l.\nAnswer: 51600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**8*u**(-3)*(u\/(u*u*u**(-1\/2)*u))**(-45)*((u*u**(3\/7)\/u)\/u**(-2\/13))**(-26) assuming u is positive.\nAnswer: u**(593\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5090 + 5090. Let p(f) be the first derivative of -27\/2*f**2 + 0*f**3 + c*f + 14 - 25\/4*f**4. What is the second derivative of p(a) wrt a?\nAnswer: -150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - m**2 - 8*m + 131. What is o(-5)?\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -1.412, 1\/7, 0.24?\nAnswer: -1.412","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:58 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 75210120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r - 150 - 159 - 153 + 759 - 148 - 146.\nAnswer: 33*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 3, 5, 17, 45, 95?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/352347 and -71\/12339.\nAnswer: 3171123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-3)*(-45)\/(-27). Put z, -4, -0.1, -13 in ascending order.\nAnswer: -13, z, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-14))\/(2\/56))\/2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.159488 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*g**3*o**3 + 3*g**3 + 43*g*o**2 + 3*o**3 wrt o.\nAnswer: 204*g**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/70 and 41\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/3)\/(1\/(-1)). Suppose -3*v - 4*f + 36 = 0, -4*f - 26 - 10 = -y*v. Suppose -16*w - 8 + 152 = 0. What is the greatest common factor of v and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**8*(g*(g*g\/g**(-2))\/g*g)\/g assuming g is positive.\nAnswer: g**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 3)*(-22*z + z - 33*z) + (0 + 0 - z)*(3 + 4 - 6))*(0*z + 2*z - z).\nAnswer: -109*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 2*o**2 - o. Let d be w(1). Suppose 3*n = -d*n + 235. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 33*f - 1. Calculate q(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 5*f**2 + f + 5. Let v be g(-6). Suppose -4*k = 18*k + 418. Let j = v + k. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*x**4 - 513*x**3\/2 + 4983*x**2\/2 - 5841*x - 1620 = 0. Calculate x.\nAnswer: -1\/4, 4, 9, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.205 * -0.1\nAnswer: 0.0205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1150, 0.2, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165561201.\nAnswer: 7, 166508743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -333 + -9?\nAnswer: -33c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4274062820 to the nearest 100000.\nAnswer: 4274100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -5, 65, -2.\nAnswer: -5, -2, 37, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (8 - 5 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from argzs. Give prob of sequence grz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 + -2. What is the closest to -0.6 in -5, i, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from jljljmjlwjlwwlwl.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -267 + 4537\/17. Let f be 9\/(-5) + -2 + 4. Put n, f, 0 in increasing order.\nAnswer: n, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxbsrtbbsstbtsss. What is prob of sequence rst?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/6)\/(c*c**(2\/23)*c))\/(c\/((c\/c**(-4))\/c)*c**(-8)))\/((c**(2\/9))**(-8\/9)*(((c\/c**(2\/9))\/c*c)\/c*c)**(4\/3)) assuming c is positive.\nAnswer: c**(29461\/3726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-613 - 375 + 392 + (-3 + 0 + 2)*(-2 + 0 + 1))*((2*t**2 - 2*t**2 - 2*t**2)*(-t - t + t) + 3*t**3 + 0*t**3 - 2*t**3)*(-2 + t + 2).\nAnswer: -1785*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 591517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1015835 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177790441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**3 - 12*p + 9. Let j(u) = 5*u**3 - 11*u + 8. Suppose 2*t - 15 = -3*t. Let a(c) = t*j(c) - 2*n(c). Factor a(b).\nAnswer: 3*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 - 9*z**2 + 8*z**2 - 13*z**3 + (-5*z + 0*z + 4*z)*(-8*z**2 - 3*z + 3*z) to t*z + n*z**2 + x*z**3 + b and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194963 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7718 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 - 77. Let z(l) = 28*l**4 - 2*l**3 - l. Let c(b) = -57*b**4 + 5*b**3 + 2*b. Let i(p) = r*z(p) + 2*c(p). What is the second derivative of i(j) wrt j?\nAnswer: 312*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*((-2)\/(-3) + -2) - -288896. Suppose 0 = 9*h - 0*h - v. What is h rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21b - -b?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2178)*-1)\/(sqrt(108)\/(sqrt(12)*-1)) - 5*5*(sqrt(50)*1 + sqrt(50))*-2.\nAnswer: 533*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2056 divide 1036957992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3264 + 3229 - 4075*d - 6490 to f + g*d and give g.\nAnswer: -4075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 + 7.5. Let m = -32\/15 - -14\/5. Which is greater: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 10) in base 3?\nAnswer: -11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2516 - -134.8484. Let s = -162 - -290. Let w = s - d. Round w to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) 13 (c) 0.18 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 - 104*w**3 + 237*w**3 - 129*w**3.\nAnswer: 4*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3935 + 3371 = 13*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1142?\nAnswer: 6852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2\/6 - 21247*u + 1354305027\/2 = 0.\nAnswer: 63741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-7 - (-4 - -4 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdp when three letters picked without replacement from dddpppp?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1, -v + 4*m = 2*m + 117. Let l = -70 - v. Suppose 3*h - 5*x - 35 = 0, -5*h + l = -0*h - 5*x. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1508621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 83 + -3 + -5 + 6. Suppose 0 = q - f - 432. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dd498a + 2?\nAnswer: dd498c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**5 + r**3 + r**2 - r - 1. Let s(u) = -3*u**5 - 6*u**3 - 3*u**2 + 6*u + 6. Let l(z) = -6*c(z) - s(z). Find the third derivative of l(k) wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*d + 4*v, -5*v + 26 = 6. Suppose 4*b = 4*q + 56, d = -q + 1 - 6. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000069893 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - t + 8 = -u, -2*u + 4*t - 4 = 0. Factor 2\/7*y - u*y**5 - 4\/7 + 52\/7*y**4 - 68\/7*y**3 + 32\/7*y**2.\nAnswer: -2*(y - 1)**4*(7*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -334 + 333. What is the closest to f in 4\/17, 0.2, 2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -2*n, -5*n = -j + 2*j - 2. Suppose 0*s - s = -3*b - 22, n = s - b - 14. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Let p = 0.01 + d. Is p != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 - 102 = -a, u - 46 = 4*a. Let d(f) = 2*f**3 - 4*f**2 + 2*f - 3. What is the remainder when u is divided by d(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/580 and -53\/10.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Let d be (-3 + 7)\/4 - -30. Let s = -26 + d. Solve -s*g = b*l, -l + 0 - 5 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + 0.49. Let t = -0.3 + -0.2. Put -0.2, t, x in descending order.\nAnswer: x, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/13))\/q)\/(q**6*q)*q**(-2\/25)\/(q\/(((q\/(q*q**11))\/q)\/q*q)) assuming q is positive.\nAnswer: q**(-6576\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -87132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23978 + -15426. Is h a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, s: 13, u: 3, z: 2, r: 1}. Give prob of sequence wuur.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3*(-36)\/189*1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 613*t**2 + 2450*t + 2080. Find the first derivative of u(b) wrt b.\nAnswer: 1226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from ejeoommej.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299638961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1756088.3 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15330 and 685105?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*d - 20*d + 202*d)*(2 - 1 - 4 + (-4 + 2 + 1)*(3 - 6 + 1)).\nAnswer: -99*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/153*187\/(-33)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2028 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.678 - -0.5.\nAnswer: 1.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 156\/47 or 818?\nAnswer: 818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 4\/4 + -6. Let m be (4 - -1) + -7 - x. Solve 0 = s - m*i - 3 - 3, -s - 9 = 3*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156508973 divided by -15907.\nAnswer: -9839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/638 (b) 0.5 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -923.59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -181717082 and -3.\nAnswer: 545151246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112050, 224116, 336196, 448296, 560422, 672580, 784776, 897016?\nAnswer: 1009306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 13290*u**2 - 11774940*u - 3477532280.\nAnswer: -5*(u + 886)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12*w**2 + 262*w + 125. Calculate b(-20).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjyjjjypjyy. Give prob of picking 2 y and 1 p.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 2:56 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 172920*c*v**3*z**2 + c*v*z**3 + 3*v**3*z**3 - 7*v**3 - 2*v**2*z**3 - 95*z**3 - 5*z wrt c?\nAnswer: 172920*v**3*z**2 + v*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.068084.\nAnswer: -0.034042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*j**3 + 5894*j**2 + 304308*j + 3566736 = 0. What is j?\nAnswer: -204, -47, -186\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.05 (b) 5 (c) -4\/7 (d) -2 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n**2 - 3. Give r(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1268189 + 3574*h - 1268189.\nAnswer: 3574*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (1 + sqrt(200) + 5))*-4)**2 + 4*(sqrt(200) + (sqrt(200) + 5 + sqrt(200) + -1 - sqrt(200)))**2.\nAnswer: 640*sqrt(2) + 3840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -537 and 1.\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 31\/(-10)) + (-51)\/102?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*(1 + sqrt(19)))**2 + 4.\nAnswer: 1800*sqrt(19) + 18004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671022.\nAnswer: 2, 835511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (80\/480 + -2 + (-75)\/18).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*t**2 + 4*t**2 - 14*t**2)*(52*t - 565*t + 113*t - 1916*t) in the form b + j*t + i*t**3 + g*t**2 and give i.\nAnswer: 39372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, -0.3, 214202 in increasing order.\nAnswer: -1.5, -0.3, 214202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 3*z**2 - 4*z - 3. Let c be d(4). Suppose -32*t = -33*t + 4*r + 76, t - 121 = -5*r. Does t = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 972, 1661, 2350?\n\"Answer: 689*h + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*m*t**3*v**2 + 2*m*t**3 + 2*m*t**2*v**2 - 3*m*t**2*v - m*t*v**2 + 2*m*t*v - 2*t*v wrt v.\nAnswer: 44*m*t**3 + 4*m*t**2 - 2*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2 - 253056*b - 8004667392 = 0.\nAnswer: -63264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(1900))**2 + sqrt(1900) - (3*1*sqrt(304) + sqrt(304))) + 2*4*((sqrt(76)*-3)**2 + 0).\nAnswer: -86*sqrt(19) + 13076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-8) + 10\/80. Let b be (4\/10 - k) + 1518\/5. Calculate the highest common factor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*k + 279, -4*l = -5*k + 46 - 701. Let o be -3 + 2*k\/2. Let z = o + 1561\/12. Find the common denominator of z and -51\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 532 - 532 - 71*g - g**2 + (-2*g + 5*g - g)*(4*g - 5*g + 0*g).\nAnswer: -3*g**2 - 71*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 4.29136, 5, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**2\/7 + 1719*p\/7 + 3442\/7 = 0?\nAnswer: -2, 1721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 751951 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 5247 = 5*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 26. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1028688)\/7462422 + 2\/99?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4072 or -93664\/23?\nAnswer: -4072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47483535.\nAnswer: 3, 5, 11, 41, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 + -124. Let g = 591 + -583. What is the remainder when t is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 521 - 465. Calculate the smallest common multiple of i and 12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1271\/18 - -6641\/234. Let f = t + 211\/5. Is 0 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010021000011 (base 3) to base 11\nAnswer: -377532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1078, -2045, -3012, -3979?\n\"Answer: -967*g - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u**3 - 30*u**2 + 44*u**2 - 7 - 23*u**2)*(u**2 + 0*u**2 - 3*u**2).\nAnswer: -28*u**5 + 18*u**4 + 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**5\/20 - w**4\/6 + w**3\/2 + 3*w**2\/2 + 13*w. Let l be i(-3). Solve 3*m - 11 = 5*z, 2*m - l = -2*m - 5*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00141132 rounded to six decimal places?\nAnswer: 0.001411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(1\/5))*w**1*(w**16*w)\/w*w*(w*w**(3\/4))\/w)**(-2\/15) assuming w is positive.\nAnswer: w**(-379\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 579\/18 + 2\/(-12). Suppose 5*b + o = b. Let d = b - -12. Solve d*u - 2 = 2*s, 4*u = -s - 3*s - 28 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.76 - 8.8. Let c = -0.088 - y. Let h = c + 0.018. What is h rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f + f - f**3 + 5*f**2 - 3 - 3*f - 6*f**2. Let l be 4\/(4\/(-3)) - 1. Is 20 a factor of z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 643296?\nAnswer: -6432a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (2 + 28 + 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4, 0 = -5*u - 0*r - 2*r + 3. Is (8\/16*u)\/((-1)\/4822) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 4 = 10*r. Let a = r - 1. Suppose a = -3*d - 11 - 7. Which is greater: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1327*d + 1329*d = 1958. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*z. What is the common denominator of (-4)\/12 + 943\/(-276) and z + -1 - 73\/(-22)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211854 divided by -1054.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 minus -519555.76?\nAnswer: 519499.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*w**2 + 168*w**2 - 14*w**2)*(1 - 1 - w).\nAnswer: -136*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + o**2 + 244*o - 1357*o.\nAnswer: 2*o**2 - 1113*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -2*b. Solve -4*l = b*p - 0*l - 26, 3*l - 5 = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633*g - 268932490*g**2 - 635*g + 268932516*g**2.\nAnswer: 26*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(8) + sqrt(8))\/sqrt(4) + (-1*sqrt(22))\/sqrt(11)*-1 - 1*(sqrt(14)\/sqrt(7)*-2 - (-1*sqrt(98))**2).\nAnswer: 9*sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -19*h + 9. Let d be q(-1). Solve 0 = -d*x + 27*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29476996 equal to 29476995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*h, 3*s + 5*h = 6*s + 4. Suppose -5*j + 3 = -4*j. Factor 2\/9*l**j + 0 + 0*l + 2\/3*l**4 + 4\/9*l**5 + 0*l**s.\nAnswer: 2*l**3*(l + 1)*(2*l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 14380740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*i + 2*i + 58 = 0, -2*y - 137 = i. What is the remainder when 2*(-2)\/(-14) - 4810\/y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 4*t + 4. Let d be z(4). Suppose d*y - 68 = 5*r, -2*y = -0*y - 5*r - 44. What is the highest common divisor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 33*f + 83. Let w be p(31). Is 15 a factor of 3153\/w - (-1)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**3 - 2*l**2 + 5*l - 1. Let x be w(2). What is x rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)*(-2 + (-181608)\/152). Let j = s + 1197. Factor 2\/19*m**4 - 4\/19*m**3 - j*m**2 + 2\/19 + 2\/19*m + 2\/19*m**5.\nAnswer: 2*(m - 1)**2*(m + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in 0.7822, -4, 36, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -2392, 0.5, 0.1, -8, 0.4.\nAnswer: -2392, -8, 0.1, 0.4, 0.5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 509452992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 31*f**3 + f**2 + 34*f - 72. Let v be b(2). What is the highest common factor of v and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4902300580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.06 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 145. Solve 3*x = 4*x + 5*y - 21, -2*y + i = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5262831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 11:14 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1953 and 504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3636 is divided by 305.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.5 - 32.1. Let h = p + 17.8. Which is the nearest to h? (a) -0.5 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011 + 1100210002?\nAnswer: 1100200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6300669 and 354?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4049*w + 133619. What is u(33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 6. Suppose -2*s + 4 = 12. Let n be y(s). What is the third derivative of -n*m**2 - 4*m**4 + 4*m**4 - 2*m**5 wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4 + 15 - b - 9 to the form u*b + a and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2294 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 175, 369, 691, 1183, 1887?\nAnswer: 2845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1710428904 to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 91.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 + 5*l**4 + 2*l**3 - 3*l**4 - 4*l**4 - 6 + 2 to the form r*l**3 + h*l + f + w*l**4 + a*l**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 13?\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - (60 - 146) - (-1 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 12*d = -21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*m + 3*m - 7, 2*g = 5*m - 1. Solve 0 = -0*w + g*w + 5*k + 12, k = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8100, 8079, 8014, 7881, 7656, 7315, 6834, 6189?\nAnswer: 5356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 86, 98, -80, -544, -1390, -2714, -4612?\n\"Answer: -16*q**3 + q**2 + 121*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + 0 + -1 - sqrt(500) - (sqrt(500) + 2)*-1)**2 - (sqrt(500) - (sqrt(500) + -2 + sqrt(500))*4 - 1*sqrt(500)*1)**2) + 3.\nAnswer: -31560 + 1300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-5 - -4) + 3 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 24*s + 5 = 23*s, 3*y + 3*s - 15 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n - 12. Suppose -u - 4 + 15 = n*j, -j + 33 = 3*u. Let m = u + -6. Which is the third smallest value? (a) 0.1 (b) -1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**3 - 13*s**2 - 20*s - 12. Let b(h) = 5*h**3 - 13*h**2 - 20*h - 13. Let j(z) = 3*b(z) - 4*x(z). What is the tens digit of j(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714390757 to the power of 1\/2, to the nearest integer?\nAnswer: 26728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + (2 - 3) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 29, 4\/181, -3, -8?\nAnswer: 4\/181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(832)*-1*6*6 + sqrt(832)*1 + 4 + sqrt(832)*1 + -1)*-1)**2 + 0.\nAnswer: -58752*sqrt(13) + 34624836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2321165.\nAnswer: 5, 7, 11, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 13*k + 28. Let l be u(-8). Suppose 4*r - z - l = -17, -4*r - 31 = 5*z. Let v(t) = 4*t + 2. Let g(d) = -3*d - 1. What is r*v(c) - 5*g(c)?\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 159, 313, 473, 639?\n\"Answer: 3*o**2 + 145*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 2*q**2 + 12 + 0*q**2 - 15 + 5 as w*q + a*q**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*t - 452*t - 411*t.\nAnswer: -647*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4 + 19*w**2 - 7*w + 71 - 8*w - 4*w. Is p(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - ((-13 - -2) + (-3 - (-7 - 4)))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 5 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c**2 + 2*c - 8. Let o(u) = 4*u**2 + u - 4. What is -11*o(w) + 6*y(w)?\nAnswer: 4*w**2 + w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -17)\/((-2)\/(-2)). Let o(l) = 3*l - 5*l - 4*l - y. Let g(b) = 6 + 2 - 1 + b - 4. What is -11*g(a) - 2*o(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 6:52 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -p, 2*i + 2*i - 2*p - 18 = 0. Suppose -2*h = 5*m - i*m - 30, -4*h = 5*m - 73. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.051 - 0.949. Which is the nearest to j? (a) 4\/7 (b) 1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 divided by 4?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100000010 (base 2) to base 14.\nAnswer: -3d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i + 2. Suppose -36 = -2*j - i*j + z, 6 = -j + 4*z. What is the least common multiple of j and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539715205 to the power of 1\/2, to the nearest integer?\nAnswer: 23232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -367da8 - b?\nAnswer: -367db3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 20 = -a, -2*a = 3*l + 2*a - 26. Calculate the lowest common multiple of (-228)\/(-108) + ((-6)\/(-27))\/(-2) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 257645\/56728 + -2\/21273. Find the common denominator of x and (-1)\/2 - 139\/(-60).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*f - 86*f = -4. Let u(b) = -8*b - 3. Let j be u(0). Sort f, 3, 22, j in decreasing order.\nAnswer: 22, f, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, l: 2, x: 1, b: 1}. What is prob of sequence lblx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from iiiiiiijiiijij?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 826*w - 867*w - 283, -3*z + 8*z = -2*w - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 1 + -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41.551ml?\nAnswer: 0.041551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*j - 7. Let b be 2\/((-1 - 0)\/j). Suppose -s + 5*d + 14 = 0, s - b*d + 4 = -6*d. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 25*n - 146. Let g be o(-34). Find the third derivative of 0*j**2 - 662 - g*j**5 + 3*j**2 + 662 + j**2 wrt j.\nAnswer: -9600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - q**4 + 4*q**4 + (q**2 + q**2 - q**2)*(3*q**2 - 4*q**2 + 0*q**2) + 14 - 14 + 8*q**4 + 4*q + 5*q**4 - 4*q.\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -992. What are the prime factors of q?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1949623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 6. Let z be u(-3). Let g(i) = 3 - 16 + i**2 + 3*i + 0 + z*i. What are the prime factors of g(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/98 and 15\/266.\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21030 divided by -4?\nAnswer: 10515\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + q - 1. Let w(r) = -15*r**2 - 20*r + 20. What is 100*m(b) + 5*w(b)?\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -987*m - 21 - 22 - 22 + 65 to the form n*m + g and give n.\nAnswer: -987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 18878534?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 639392 to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 128118 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6896439 and 1221?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, f: 4, i: 3, e: 3}. Give prob of picking 1 e and 1 i.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -47. Solve g = -4*u - 0*u + 3*s + 23, -4*u - 5*s - 17 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:42 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 4*c - 4*c - 75*c**2 + 65*c**2.\nAnswer: -c**3 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6294 (base 16) in base 6?\nAnswer: -312500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.011 and -5136?\nAnswer: 56.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-19.8.\nAnswer: -0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5930\/55 - (-4)\/22 - -2 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21842, -174675, -589470, -1397207, -2728866, -4715427?\nAnswer: -7487870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/(-161))\/(4\/(-14))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-34 - (-12 - ((0 - -4) + -2 + -8)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7176.83 - 7046. What is v rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(77)\/sqrt(11)) + 3)**2 - (sqrt(49)\/(sqrt(7)*1) + (sqrt(567) - sqrt(7))**2 + 5).\nAnswer: -410 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -22 - 6*12\/54.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - v - 172. What is g(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 49. What is the nearest to 0.2 in 2, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 3740?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 52*j**2 + 160*j + 2800.\nAnswer: -4*(j - 7)*(j + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2878\/287 - 376\/41. Which is the closest to 4\/15? (a) 1\/7 (b) -0.05 (c) 4\/3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 0*o**2 + 268 + o**2 - 164.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3714512 to the power of 1\/2, to the nearest integer?\nAnswer: 1927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(68\/17)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*b**3*t - 128*b**3 - 26*b**2*t + 16107*b*t - 1 wrt b.\nAnswer: 150*b*t - 768*b - 52*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/20 and (-414)\/(-88) + (-3)\/6 + -3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8367, 12 in increasing order.\nAnswer: -8367, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1964 = 2719. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1222 - -2421. What is the least common multiple of 981 and k?\nAnswer: 10791","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 4. Let g be d(-2). Let n(o) = -33750*o**2. Let y be n(g). What is y rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 + 2*l - 9. What is the units digit of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10500 by 3500.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -30*k - 477. Let u be i(-16). Solve -5*p = -3*v + 7*v - 31, u*p - 1 = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 17*d**3 - 16*d**3 + 1 + 1 as m*d + g*d**2 + j + r*d**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1009, 971, 933, 895, 857?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((1 + sqrt(17))**2 + 0)) + -5.\nAnswer: -23 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989146 + 966946 = -300*f for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(114)\/sqrt(6) + -5 - 1*sqrt(209)\/sqrt(11)))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/264690 and 23\/4152.\nAnswer: 1058760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1972 - 984 = 18*u + 1024 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*o + 10346, -4*j = o - 2*o + 3477. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 5)*(3 + 3 - 4) + 2 + 4 - 5)*(31*r - 25*r + 57*r).\nAnswer: -189*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (307*f + 309*f - 607*f + 15)*(8 - 6*f - 8).\nAnswer: -54*f**2 - 90*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 20*t + 11. Let l be c(-7). Suppose -l*u + 1288 = 36. What are the prime factors of u?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 80 = 7*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133517185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*p - 699 = -299*p. Solve 3*v - 28 = -5*g, 4*v = p*g - v - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 14. Let b = -6.999846 - w. What is b rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5887 and 3619287?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/9 - 4*k**3\/9 + k**2\/3 + 2*k.\nAnswer: -k*(k - 2)*(k + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - (sqrt(78) + sqrt(78) + sqrt(78) + 1*sqrt(78) + sqrt(78))*6) + -6*sqrt(78)*1)\/(sqrt(48)\/((1*sqrt(96))\/sqrt(12))))**2.\nAnswer: 15925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 5*i + 5. Let n be h(-7). Let b be 0*1\/(-2) + n. Suppose -b = -4*s + 29. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, q: 2, s: 3, m: 5}. Give prob of picking 4 m.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -238.1024391 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/4)\/((((((t*t*t**(-3\/4)*t*t)\/t)\/t)\/t)\/t)\/t))**(-23))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(-31 - 36 - 12*a + 68).\nAnswer: -12*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/1365 and -71\/1365.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 e, and 1 o when three letters picked without replacement from {e: 3, s: 1, o: 2, y: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 163b + 373?\nAnswer: 19ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v + 80 = 0. Suppose -2*k - 10 = -4*y - 0, 0 = -y - 4*k - v. Suppose 4*j + 16 = 5*j - u, y = 4*u + 12. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938.6682mm in micrometers?\nAnswer: 938668.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + 5*(sqrt(180) - (sqrt(180) + sqrt(180)*2*-5) - sqrt(180))*-5)**2 + -5)*-6.\nAnswer: -194400*sqrt(5) + 218700096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c. Let t = c + 0. Factor 2*i**5 + 4*i**3 + 2 - 7*i**4 + 4*i**2 + t + i**4 - 6*i.\nAnswer: 2*(i - 1)**4*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.073891 days in microseconds?\nAnswer: 179184182400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3 - 378860*s**2 - 79494450*s - 4172301000 = 0. What is s?\nAnswer: -189220, -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 7*n. Let h be c(6). Let s be ((-27)\/15)\/(h\/(-4)) - 0. Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.1 + 9.1. Which is the closest to 0? (a) 4 (b) 5\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 18.04. Let a = r - -0.04. Let x = -1714\/11 + 156. What is the second biggest value in a, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -0.117136?\nAnswer: 0.1054224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 23. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 8*s + c + 13 = 0, -5*c = 5*s + 35 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -3\/71993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 - 17 - 2*g + 32 + (4 - 2*g - 4)*(-4 + 2 - 2).\nAnswer: 6*g + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -4 (c) -0.5 (d) 208 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -4. Suppose -2*k = -i*f + k - 5, -2*k + 10 = 0. Suppose 3*b = f*s - 19, 27 - 2 = -5*b. Solve -3 = -3*o + s*t - 1, o - 3*t = 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -40. Suppose -b = -10*b - i. Let y(v) = v**3 + 5*v**2 + 5*v + 6. Let a be y(b). Let l(g) = g**3 + 2*g**2 - 4*g + 2. Determine l(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7157 + 73?\nAnswer: -7064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1112220642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-6630)\/1785 - (6\/1)\/(-1))*7 and 1*(0 + (-16)\/(-1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.2 + 15. Let a = -5.19999874 - k. What is a rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 7*r + 4 = -2*r, 0 = -4*u - 4*r + 8. Suppose 4*z = u*z. Suppose a = -z*a + 6. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53 + 327?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37276960 by -9319240.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p*p**(5\/2)*p)\/(p*(p*p\/p**(-1\/3))\/p)**(-1\/46) assuming p is positive.\nAnswer: p**(38\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3540 divided by -6?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -2\/3, 0, 0.99, 2\/3 in decreasing order.\nAnswer: 0.99, 2\/3, 0, -2\/3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -838 - -840. Suppose -3*z - t = -2*k, -5*k = -2*z + 3 - 19. Solve -3*y + 0*y + k*n = -29, 5*y + 3*n = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11759 and 533797?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 10. Let r = y + 25. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - 23. Suppose -p + 180 = 4*h, -h + r = 3*p + 22. Suppose 0 = -3*a + h + 80. What is a rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 36 (c) -27 (d) 0.9 (e) 13\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.049 + -2.951. Which is the biggest value? (a) 1 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = -28 - 161. Does 17 divide 1392\/k - (-110)\/(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 6. Let f be 25\/10 + 2\/(-4). Suppose f*p - u = -p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318.896729549 - 0.37.\nAnswer: -319.266729549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12938, 13051, 13154, 13247, 13330?\nAnswer: 13403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615 a factor of 79778900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**4 - 1668*w**2 - 1757 wrt w?\nAnswer: -4*w**3 - 3336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -9588, 5, 1 in ascending order.\nAnswer: -9588, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.022 * -41\nAnswer: -82.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 - 10 = 0. Solve 0 = 3*v + b + 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 2}. What is prob of sequence ee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23546 + -23544. Let f(g) be the first derivative of 3\/2*g**l + 17 + 0*g. Let n(x) = 2*x. What is n(f(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = -t, 5*f - 4 = -t - t. Let s be 12\/9 + (-2)\/t. Solve 11 = 5*i - 2*m, 0 = -4*i + 2*m + s*m + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 2. Let n be z(1). Which is smaller: n or -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 17*t + 28. Is c(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 0.3, -3\/8, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1323*f**2 - 12 + 98*f + 93*f + 61*f = 0. Calculate f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1. Let s be (p + 3)\/((-4)\/(-6)). Let z(d) = -5*d**3 + 5*d. Let q(f) be the first derivative of 7*f**4\/2 - 7*f**2 + 3873. Give s*q(u) + 8*z(u).\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 3*y - 3. Calculate x(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 11:29 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*l - 3*l - 100, -5*l + 125 = -3*p. Let y = l + -8. Solve -5*i - 20 = 5*a, 3*i + 1 + y = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 5.6?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.142829362729 + -4.\nAnswer: -3.857170637271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 + -6*(-1)\/(-2)*-1. 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 z(w) = 3*w**2 - 2*w - 3. Let g be z(2). Suppose g*n = -4*d - d - 20, -n = -3*d - 12. What is the second derivative of 0 + n*q + 9*q + 0 - 2*q**5 wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 521217 by -173739.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25728, 25693, 25656, 25617, 25576?\n\"Answer: -q**2 - 32*q + 25761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7590143*c*i - 9149491*i wrt c.\nAnswer: -7590143*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -811, -806, -779, -718, -611, -446, -211?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 43 - 4. Solve -2 = -36*r + w*r + 2*j, 2*j + 10 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46080 and 7542?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -64, -254, -564, -988, -1520, -2154, -2884, -3704?\n\"Answer: u**3 - 66*u**2 + u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 2*f + 16, 4*s + 6*f - 36 = f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2932519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50512903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -30 + 66*m - 70*m + 3*m**2 - 5 - 2*m**2 - 29. Let p be g(-6). Let y(u) = -4*u - 8. Determine y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/2 + 6719*u**3 - 44272641*u**2\/2 - 2944581696*u = 0.\nAnswer: -128, 0, 6783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t + 9. Let x(f) = 55*f - 1. Let k be x(6). Let p(i) = -k - i + 329. Determine p(j(a)).\nAnswer: -2*a - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 87898 and -5.\nAnswer: -439490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -656 (base 9) in base 15?\nAnswer: -25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*g = 379*g - 4*o + 137, 34*o - 326 = 10*g - 5*g + 825 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 != -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 2*h. Suppose h = 3*x + 6, 3*x + 7 = -3*i - 5. Sort 7, -3, i.\nAnswer: -3, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-261115)\/((-135)\/9 - -14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-16)\/32*8\/(-76)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 4*q)*(q**2 + 3*q**2 - 3*q**2) + (35*q**3 + 17*q**3 + 22*q**3)*(-6 + 15 + 9).\nAnswer: 1333*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36.5, -80, -1\/5, -303, 1, 5.\nAnswer: -303, -80, -1\/5, 1, 5, 36.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3123*l**3 - 166*l**3 + l**2 + 135*l - 133*l to w*l + b + a*l**2 + o*l**3 and give o.\nAnswer: 2957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 51*g - 1. Let x(c) = -109*c + 1. Determine -9*f(l) - 4*x(l).\nAnswer: -23*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 225*j**2 - 44320*j - 985 = 0. Calculate j.\nAnswer: -1\/45, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = -1. Suppose 0 = -3*p + 4*s - 5, -z*s = 3*p - 8*s + 4. Let m = 53 + -47. Sort 1, p, m in descending order.\nAnswer: m, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16013 - 3?\nAnswer: 16010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/4*(-21)\/(-9). Let p = -5\/12 + l. Which is the nearest to 1? (a) -0.1 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2 + 2 + 2*s**2 + 4 - 3*s. Suppose -b - 36 = b + 4*n, n = -4*b - 37. Let z(c) = 6*c**2 - 8*c + 11. Calculate b*w(p) + 3*z(p).\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a. Let d = 392 + -394. Let f = -104 - -110. Let c(i) = 10*i. Determine d*c(s) + f*u(s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + k)*(-23 - 9 - 4)*(-4*k - k - k).\nAnswer: 216*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16205311*z**5 + 2313805*z**2?\nAnswer: -972318660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4932, -5 in decreasing order.\nAnswer: 10, -5, -4932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13314, 53256, 119826, 213024, 332850?\n\"Answer: 13314*l**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 1. Let w be (-7)\/8 - ((-6)\/(-16))\/3. Let o(d) = 2*d**2 + d - 4. Determine w*j(l) + o(l).\nAnswer: 2*l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15780.\nAnswer: 2, 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -553*b**2 - 147 wrt b?\nAnswer: -1106*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 2*a + 2*o, 2*a - o + 7 = 0. Is 21 a factor of (a*84)\/(5\/30*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2202.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 612, 1591, 3214, 5475, 8368, 11887, 16026, 20779?\n\"Answer: -o**3 + 328*o**2 + 2*o + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1542851\/51 + 30251. Find the common denominator of s and 83\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 8) to base 7\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210 (base 3) to base 9.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 918 = 5*w - 12110, 2*w + 2*g = 4480. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0) + (0 - -7). Suppose -4*i - 2*u - t = i, 4*i + u = -8. Which is the third smallest value? (a) 4 (b) i (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**5\/30 + g**2. Let a(s) = 11*s**2 - s**2 - 5*s**2. Calculate a(x(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1815, -1893, -2031, -2235, -2511, -2865?\nAnswer: -3303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275127 is divided by 91?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from jjdd.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5255 is divided by 153?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -8 in descending order.\nAnswer: 10, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89 or -1?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -1, 4, 7 in decreasing order.\nAnswer: 7, 5, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 900 and 86760?\nAnswer: 433800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2. Let n = 10 - 2. Let d be (-4)\/n - (-9)\/2. Let c(f) = -2*f**2 + 0*f**2 + d*f**2. Determine t(c(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -1.08 (c) 0.04 (d) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 1093*x + 80. Let c(b) = 3*b**2 + 3091*b - 239. Let o(l) = 6*c(l) + 17*j(l). Solve o(v) = 0.\nAnswer: -2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 5 (b) 1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 - o. Let w(i) = 8*i**3 + 7*i**2 - 9*i. Let j(t) = 18*k(t) - 2*w(t). What is the third derivative of j(c) wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3882 * 0.2.\nAnswer: -776.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.472 + 49.528. Let r = 41 - s. Which is the nearest to 0? (a) r (b) -2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 97437?\nAnswer: -97439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 25*o - 3 = 27*o, 2*c - 2*o = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x + 5964. Let t(c) = 97*c**2 + 2. What is h(t(v))?\nAnswer: -485*v**2 + 5954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(45)*2 - sqrt(45)) + sqrt(45) + (sqrt(45) - sqrt(90)\/sqrt(2))*-3)\/(-1*sqrt(729)*1) + 2)*-1)**2 + 5.\nAnswer: 4*sqrt(5)\/3 + 86\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, -3, -0.1 in ascending order.\nAnswer: -3, -0.1, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1767 - 1212. Let n = x + -360. Is n a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7 (b) 3\/98 (c) 4 (d) -0.3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7233.12 - -7233. What is the third biggest value in x, -4, -0.1, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 3*v + 11, j + 3*v + 15 = 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -98, 2 in ascending order.\nAnswer: -98, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/7)\/(j\/j**(-2\/19)*j*j)*j**(-4\/15)\/(j**(-12)*j) assuming j is positive.\nAnswer: j**(14363\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*b - 6 = -u, -4*u + b = 3. Suppose -521*c + 519*c - 70 = u. Let t(j) = 5*j. Let r be t(-7). Is r < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78380596+4.3874\nAnswer: -78380591.6126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -2*36\/8. Let w be (-1)\/(-4) - 214\/a. Let v = -14 + w. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5 and -113\/127674732.\nAnswer: 638373660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -156, -444, -872?\nAnswer: -1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*-110898\nAnswer: 221796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, l: 4, v: 4, b: 2}. What is prob of picking 1 x, 2 v, and 1 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -134132613 times 1?\nAnswer: -134132613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1312888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 + 209*f**2 - 36*f + 2380. What is u(-70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (18\/44)\/(-3)*(-1136)\/(-852)*627\/(-3)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 20501?\nAnswer: 20501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13405*c + 4323*c**4 - 13405*c + 3254 wrt c.\nAnswer: 17292*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*a**2 + 2242*a + 107602?\nAnswer: -24*a + 2242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4599 = 5*c, -2*c + 3*b + 628 = 2455. Let t = 2300 + 1700. Let v be t*(c\/(-4) - 2). Round v to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 12:02 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q. Let s be u(4). Suppose -9 = -3*l + 3*v + 27, 0 = v + 2. Calculate the highest common factor of s and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67951\/16 - -4244. Suppose -144*b = -148*b + 8. What is the common denominator of ((-15)\/38 - 2) + b and n?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26 + -15 - 118\/8. What is the third biggest value in 24, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 15. Let l(f) = 7*f - 66. Let s be l(11). Suppose 0*d = -3*d + 36. What is the least common multiple of a(s) and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-9)*(-17)\/(-102)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**2 - 8*p - 7. Give t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 + 0*y**5 + y**5 + (2*y**3 - 2*y**2 + 2*y**2)*(372 - 372 - 73*y**2).\nAnswer: -145*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1260, -2672, -5964, -11904, -21260, -34800?\n\"Answer: -128*y**3 - 172*y**2 - 960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1098914 (base 13) to base 11\nAnswer: 2975a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -248, -3, -155 in descending order.\nAnswer: 2, 0, -3, -155, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -11 + 3 + -2 + 14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 30*o**2 - 102*o - 1649. Is g(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 255.9 + -256. What is the third smallest value in s, 3, 3\/4, -3\/14?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 14*h**2 - 18*h**2 - 10 - 17*h + 8*h. Let g be o(6). Is g not equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2024118?\nAnswer: 2024118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/6 - 658*q**3\/15 - 264*q**2\/5 + 401*q + 4. Factor c(d).\nAnswer: 2*(d - 132)*(5*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 4*v + 3. Let l be m(5). Suppose 7*z = 6*z + l. Calculate the smallest common multiple of z and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-294)\/(36\/6)*17\/(952\/16).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 2*u**2 + 100*u**3.\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -5. Which is the third biggest value? (a) -0.09 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*o + 6*o = 48*o - 2000 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**2 + m. Let f be d(3). Let o = f + 23. Let v = o - -89. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.15 to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 111569.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 8:12 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 5. Let r be q(9). Suppose -3*h - 10 = -8*h, 4*c + 2*h = -r. Let m be -2*(c + (-27)\/(-14)). What is the nearest to -2 in -0.1, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4252, 4258, 4244, 4204, 4132, 4022, 3868?\nAnswer: 3664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.18784984 rounded to two decimal places?\nAnswer: 2.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(147) + (-1*sqrt(147) - sqrt(147)) + 5).\nAnswer: -20 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.925 - -10.825. Which is the smallest value? (a) -5\/59 (b) 0.3 (c) -3\/2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1170 by 20740.\nAnswer: -117\/2074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -503174479.0020001505 + 0.0020001505. Let n = 503174433.9999959 + r. Let d = n + 45. Round d to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/315876 and -53\/288.\nAnswer: 7581024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5760 + 637. What are the prime factors of t?\nAnswer: 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.054 - 4.054. Put h, -0.5, -1\/3, -2 in decreasing order.\nAnswer: -1\/3, -0.5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2130*f. Let b(i) = 80*i + 14. Let y(d) = -23*d - 4. Let u(r) = -4*b(r) - 14*y(r). Give u(l(a)).\nAnswer: -4260*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2. Suppose n - 7 - 4 = 0. Let b(w) = n*w + 8*w + 5*w - 15*w. Determine b(k(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19755 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 0*o + 1\/3*o**3 - 4*o**2 - 8. Find the second derivative of a(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 6, 5, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*r - s + 5, s = 3*r - 7. Let l(h) = -1 - h**r + 6*h**2 - 3*h**2. Determine l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 106, 209, 312, 415, 518?\n\"Answer: 103*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10.4, 3.16, 3, 0.1 in decreasing order.\nAnswer: 3.16, 3, 0.1, -3, -10.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 6*y - 3*y - 31, 5*y - 35 = 5*a. Suppose 5*w = -y*t + t + 182, -4*w + 4*t + 136 = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 - 6 - (75 - 67)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 302, 451, 598?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.94927 - -0.03173. Let c = -0.019 - x. What is the closest to -1\/2 in c, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 18*a**2 + 18*a + 50. Calculate the remainder when 217 is divided by h(17).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -19*x + 4. Let q(i) = -20*i + 1. Give 3*m(n) - 2*q(n).\nAnswer: -17*n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + 38. Let y = 185 - t. What are the prime factors of y?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/7 - 0) + -1 + 6. Suppose -6*c = x*c - 108. What is the smallest common multiple of c and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 - 1 + 1)*(-303 + 303 + 122*g)*(4 + 0 - 5)*(-g - 3*g + 2*g) to the form r*g**3 + t*g**2 + q + o*g**4 + j*g and give o.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a**2. Let h(d) = -d - 244. What is q(h(p))?\nAnswer: -11*p**2 - 5368*p - 654896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**5 - 5766*p**4 + 4152960*p**3 + 4158728*p**2 = 0.\nAnswer: -1, 0, 1442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 7*q**2 - 4*q - 32. Suppose -2*s - 16 = 2*l, -4*s = l - s + 10. Let j be x(l). Put 2, 4, -5, j in descending order.\nAnswer: 4, 2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -4, -31, -2617?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -25 (c) -2\/7 (d) 3\/8 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*d**2 - 11*d**2 + 218*d**2 + 0 - 4*d + 0.\nAnswer: 16*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -32, -6 in ascending order.\nAnswer: -32, -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -10. Let p = 83 + -81. Suppose -g = 4*v, p*v + 94 = z + z. What is the greatest common factor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31579 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -384 - 45435\nAnswer: -45819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c**4 + 0*c**3 + 10*c**2 + 0 - 4\/105*c**7 + 0*c**6 + 0*c - 11\/60*c**5. Find the third derivative of s(n) wrt n.\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t - 13*t - 2 + 10*t)*(5 + 0 - 3).\nAnswer: -28*t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 344.1286 centuries?\nAnswer: 34.41286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.7 take away 28?\nAnswer: -63.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1038*a - 4. Let t(w) = 1. Determine j(z) + 6*t(z).\nAnswer: -1038*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232993985*f**3 - 2*f**2 + 27901*f - 1170 wrt f.\nAnswer: 1397963910*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-363 + 149 + 115)*(-6 + 6 + 2*k).\nAnswer: -198*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8999 + -8984. Which is the nearest to -1? (a) r (b) 1\/6 (c) 24 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 32463.7 nanograms?\nAnswer: 32.4637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116 + 2 + 6)*(-118)\/354.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**2 - 1\/3*o**3 + 13 + 0*o. What is i(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 210*o**3 - 2*o**2 + 26*o - 12. What are the prime factors of j(3)?\nAnswer: 2, 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68120 and 1930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -133*z + 136*z + 4*u, 5*z + 30 = -5*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -4, 3 in decreasing order.\nAnswer: 18, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*w = 69, 110*c + 2*w = 113*c - 113. What is the remainder when 1106 is divided by c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-30)*-2*2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 148\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**5 + 1071728*y**4 + 4286868*y**3 + 5358568*y**2 + 2143424*y = 0?\nAnswer: -267928, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56833 and 524055?\nAnswer: 184991415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/6 - 157*d**3\/3 - 1243*d**2\/6 - 155*d.\nAnswer: -d*(d + 1)*(d + 3)*(d + 310)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 7 - (3 - 4 - (-26 - -14)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by 50?\nAnswer: 43\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*v + 16, -5*j - v + 5 = -8. Let b = 0.9 - -0.2. Let o = -0.1 + b. What is the nearest to o in -4, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (72\/(-84))\/(11\/14 - 1). Solve x + 0*x = -c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((15 - 55) + 21)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 8*p**2 - 4*p - 3. Let s = 41 - 36. Suppose -t + 44 = 3*m, 0*m - 2*t = s*m - 74. Is o(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2219, -2222, -2225, -2228, -2231, -2234?\nAnswer: -2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23767 + 7*p**2 + 23767 + 38*p**3 + p**3.\nAnswer: 39*p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 75187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 2\/((-14)\/31). What is the nearest to 0 in -2\/9, 0.3, -1\/2, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 278 + 15 - 68 + 22 + 15*s.\nAnswer: 5*s - 309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 31. Let d be k(3). Suppose d*b = 1190 - 178. Are 46 and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 79*p - 81*p. Let q = -65 + p. What is the remainder when 52 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -28, -125, -314, -625, -1088, -1733?\nAnswer: -2590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -32*y + 9. Let i(r) = 253*r - 69. Let j(m) = -3*i(m) - 23*s(m). Let k(z) be the first derivative of -z**3\/3 - 1. Give j(k(x)).\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 15. Let u = p - 33. Which is the biggest value? (a) -4\/5 (b) -0.2 (c) -1\/6 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -494*n**3 + 29*n**2 - 2*n - 35130.\nAnswer: -2964*n + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 53*c + 255 = 795 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536.7709 days to hours.\nAnswer: 12882.5016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.56 + 6.46. Let q = z + -6. Which is the closest to q? (a) 0.4 (b) 0 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2161, -2562, -2977, -3406, -3849, -4306?\n\"Answer: -7*j**2 - 380*j - 1774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6*(-2)\/(-48))\/(3\/36). Let q = -2 + 2. Let 1\/2*u**2 + q + u - 1\/2*u**y = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4517902 - 3.854401.\nAnswer: -4517905.854401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 43248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 11*c + 10. Suppose -h = 2*a + 10, 5*a = h - 4*h - 27. Let n(s) = -s**2 - 6*s + 3. What is the remainder when g(-7) is divided by n(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 + (-1 + -8 - -3) + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.2. Let m = v + 0. Let o = m + -0.09999974. What is o rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334380 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(-3) + 18)*(-4)\/(-5)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.4*0.5.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3970*12\/200 - 1\/5. What is the highest common factor of 140 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.13098 decades in years?\nAnswer: 81.3098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 918022.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -16*z**3 - 840*z**2 - 2*z + 1626. Let w(l) = -20*l**3 - 838*l**2 - 3*l + 1625. Let y(i) = -4*p(i) + 3*w(i). Find the second derivative of y(a) wrt a.\nAnswer: 24*a + 1692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*q - 2 + 3, -4*j + 2*q = -24. Let k be j*(-1 - 49\/(-5)). Let u = -21 + k. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -652*c + 100021. Calculate g(155).\nAnswer: -1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 o, and 1 z when four letters picked without replacement from {z: 1, i: 1, o: 2, n: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8*l = -9*l, 0 = -4*s - l - 15. Let m be (3 + 13\/s)\/((-4)\/(-100)). Let n(d) = -d**3 + 10*d**2 - 7. What is n(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (0 - 11 - (35 + -36))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 31?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.47 + 1.53. Let m = 7\/75 + 131\/25. Let v = m - 106\/21. Which is the nearest to 1? (a) d (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*i + 14 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60098 + -34526. Suppose 2*r - 5*f - w = 0, -3*r + r - f + 25584 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 4602?\nAnswer: -4575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + 2*sqrt(176)).\nAnswer: -32*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-29966)\/(-8))\/(-10 - 507\/(-52)). Let p = -10346 - h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*i = -0*o, -5*o - 504*i = -507*i + 48 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Let r = u + -7. Let k(n) be the second derivative of -n**5\/20 - n**4\/6 + 5*n**3\/6 + 3*n**2\/2 - 232*n + 15. What is k(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (1 + (1 - 19))) + -3 + 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -24075*w**5 + 168505*w**4 + 24215*w**3 - 168505*w**2 - 140*w = 0?\nAnswer: -1, -4\/4815, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q - 122. Let t be d(-33). Suppose -2*h = -v - 53333, -15*h - v + 133350 = -t*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*h)*(30*h**2 - 169*h**2 + 1 + 413*h**3 - 412*h**3).\nAnswer: -3*h**4 + 417*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 390 and 159.\nAnswer: 62010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -28 + 8 + -6 + 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*z + 15, -2*z + 2*p - 5*p - 23 = 0. Let s(n) = n**2 + 10*n + 2. Determine s(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fof when three letters picked without replacement from {o: 11, h: 1, f: 7}?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 351\/15*2355\/9891\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -253211001 + 3?\nAnswer: -253210554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 0 + 4\/3*w**5 - 4\/3*w**4 + 0*w + 0*w**3 + 0*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 147*g + 444. Let h be m(-3). Find w such that -3\/4*w**h + 0 - 3\/4*w + 3\/2*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -274, -3, -1, 1 in ascending order.\nAnswer: -274, -28, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14 - -11 - (-2 + 0 + 140). Let d = k - -165. Calculate the highest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*q - h, 0*q = 3*q + 3*h. Let g = q + 13. Let f(u) = -g*u**2 + 4 - 3 - 3*u + 24*u**2 - 15*u**2. Calculate f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12991, 19786, 26603, 33454, 40351, 47306?\nAnswer: 54331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -14.5. What is the biggest value in -1, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -141, -163, -185, -207?\n\"Answer: -22*t - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 0)\/(-12) - 209\/(-3). Let w(b) = 4*b - 3. Let q be w(-5). Let g = q + p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.3 (c) -1.19 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58.9 - -58.4. Let r = 1 + -3. Put r, 18\/11, s, 0 in increasing order.\nAnswer: r, s, 0, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.1, 3\/14, 0.3, -334?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 64. Let s be u(-11). Let r = -50 - s. Suppose 488 + 37 = r*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, 4, -2\/15, -3, 884, 102\/11?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/((-279)\/(-496)*-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2063704*y**3 + 1653044*y?\nAnswer: -12382224*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344663 is divided by 2743.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 1:05 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a + 18*a + 424*a**2 + 422*a**2.\nAnswer: 846*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/13 + 3786*t**2\/13 - 75120*t\/13 + 374600\/13.\nAnswer: -2*(t - 1873)*(t - 10)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 3:12 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2011, -2022, -2049, -2098, -2175, -2286?\nAnswer: -2437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-304)\/(-18))\/(2812\/(-6327)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 2)*(36 - 36 - 3*u) - 10 + 10*u + 10)*(0 + 0 + 4*u + (-2*u + 4*u - 3*u)*(-3 + 3 - 1) - 3 + 3 - 2*u).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2 + 2*g. Let q(l) = l**3 + 9*l**2 - 5*l. Let u(c) = -5*o(c) - 2*q(c). Find z, given that u(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 37?\nAnswer: 18\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m - 35 = -3*s, -4*m + 8 = 0. Let z(v) = -2*v**3 - 34*v**2 - 3*v - 47. Calculate the smallest common multiple of s and z(-17).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:40 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4224.99 + -4195. Let m = 30 - x. What is the third biggest value in m, 5, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**2\/2 + 10*v + 2. Let x be k(0). Suppose 0 = -5*a - x, 0*a + a + 306002 = -3*d. What is d rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -144. Let h = -46 - o. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 25080.\nAnswer: 25080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 657 = -3*s. Let g = -451 - s. What is g rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2429 - -0.0419. Let t = 4.193 + m. Let k = -4 + t. What is k rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 52?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 1, -2, -1782, -95, 0 in increasing order.\nAnswer: -1782, -95, -7, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29906380 divided by 5981276.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 9, x + 3*r + 98 = -r. Let s = 221 + x. What is the remainder when s is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**3 - l**3 + 2*l**3)*(-539 + 163 + 171) to u + y*l**3 + b*l + h*l**2 and give y.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 = -6*c. Let a = 2 + -1.7. What is the closest to 0 in a, c, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 71673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11162 and 2717947?\nAnswer: 5435894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450316 and 4532.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**17)\/(i\/(((i\/((i**(-2\/25)*i)\/i))\/i)\/i*i))*(i*i**(1\/4)\/i*i)\/(i\/(i**(-2)*i)) assuming i is positive.\nAnswer: i**(-1767\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3.7. Let c = -27 + 22. Let f = 14 - 13. Put b, c, f in decreasing order.\nAnswer: f, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = 6. Let r(p) = p**2 + 3*p - 1. Let j be r(-3). Put n, 5, j in descending order.\nAnswer: 5, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174873.\nAnswer: 3, 71, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 23410450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112111 + 2?\nAnswer: 1112113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/32*2 + 23\/69*-12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*g + 11015 = 91*g - 1259 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35061652.\nAnswer: 2, 127, 69019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(76) + 2)*-6.\nAnswer: 48 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5*n + 7.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 2:46 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, -71, -211, -479, -917, -1567, -2471, -3671?\n\"Answer: -7*n**3 - n**2 - 2*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b + 6. Let w be a(-4). Calculate the common denominator of -2\/11 and (46\/12)\/(w\/(-18)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from ywllw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40723, 1, -1\/4 in decreasing order.\nAnswer: 1, -1\/4, -40723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7*4\/(-112)*15\/(-120)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -14997*r**2 + 4*r + 5. Let s be g(-5). Let j = -535060 + s. Round j to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44 - 15?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 + 731*w**2 - 981*w - 267. What is f(-245)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 406606 and 90.\nAnswer: 18297270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 87*b**2 - 4*b + 3. Let h = 154 - 153. Is d(h) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02201 to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1812*b**3 - 6. Let n(u) = -u**3 - 2. Calculate d(m) - 3*n(m).\nAnswer: -1809*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2974875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -2 - 3\/(-1). Let l = 50857 + -50856.4. Which is the nearest to -2? (a) l (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*(-46)\/(-552)*12*1. Suppose -4*a - 5 = -13. Let d(k) = 5*k + 14*k**a - s*k + 3*k. Let u(t) = 5*t. Determine d(u(j)).\nAnswer: 350*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*c + 15*c + 30. What is the smallest common multiple of 4 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z*z**(-6\/7))*z)))\/z**(1\/54))\/(((z*((z*z**(1\/4)*z*z)\/z*z)\/z*z)\/z)\/(z*(z\/z**(-11\/4))\/z)) assuming z is positive.\nAnswer: z**(442\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (-16357*(7 - 4) - -9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 7 = 5*t - 21, -3*i + 5*t = 42 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3 = 4*k. What is the closest to -1 in k, -3\/4, 0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2)*w*w*w))**(-27)*(w\/(w\/(w**(-2)*w)))**(-7) assuming w is positive.\nAnswer: w**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 = -1. Let g = -11 - -14. Suppose g*n - m - 7 = 5, 5*m = 0. Solve l*v - n + 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qessckxxekek. Give prob of picking 1 c, 2 k, and 1 s.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 80801 and 0.4.\nAnswer: 80801.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/13472 and 79\/40416?\nAnswer: 40416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1148\/41)\/((-1)\/(1\/(-2))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16*23\/276)\/(44\/6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 54*t + 111. Let m be w(52). Let g be (1 - m\/35)\/(24\/(-20)). Let u = -0.3 + 0.4. What is the second smallest value in -2\/7, u, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*f + 17 = 0, 12 = -4*x + f + 3*f. Let w(p) = p**2 + 5*p - 6. Let j be w(-6). Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Let i(f) = 5 + f + 1 - d + 1. Let u be i(-7). Which is smaller: -5 or u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 2663\nAnswer: 54\/2663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3794657*n**4 + 9794*n**2 + 8*n wrt n.\nAnswer: 91071768*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11913668, -11913659, -11913646, -11913629, -11913608, -11913583, -11913554?\n\"Answer: 2*m**2 + 3*m - 11913673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2340.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1206 + 1519.5. Round b to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**6\/60 + 7*t**5\/10 + 55*t**4\/8 - 75*t**3\/2 + 11296*t. Let h(k) = 0. What is k?\nAnswer: -15, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5170 and 560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1920)\/400*(1 + (-7)\/2). Solve 3*b - 9*b + h = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i - 3. Let a(m) = m**2 - 6*m + 2. Let w be a(6). List the prime factors of g(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 15 = -4*x + 5*c, c - 5 = 5*x. What is the second derivative of -4*n**2 + 4*n**2 + x*n**3 + 3*n - n**3 wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8776.88759 rounded to zero dps?\nAnswer: -8777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 57 = 4*d, 7900*g = -4*d + 7902*g + 114 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/9 - 1862*q\/9 + 866761\/9 = 0?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67\/42048 or -1?\nAnswer: -67\/42048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 10 - 219*o**2 + 105*o**2 - 2 + 112*o**2 - 3540*o.\nAnswer: -2*o**2 - 3540*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29459 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: Express -360 + 77*s + 358 - 130*s in the form p*s + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-22971)\/11780 - 22\/(-8)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -28*b - 477. Calculate w(-30).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7335408 >= -7335408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31143 - -303?\nAnswer: 32001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k = 64. Let t = k - -28. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**5\/5 - 28*c**4 + 524*c**3\/5 + 5536*c**2 + 28278*c\/5 - 161028 = 0.\nAnswer: -71, -9, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -3 (c) 1\/3 (d) -43 (e) 0.66 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7456 - 4906. What is d rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n - 7. Let r(g) = 150 + 11*g - 296 + 151. Let t(u) = 5*r(u) + 4*y(u). Let j be (-30)\/(-14) + 5\/(-35). What is t(j)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -13*l**2 + 10*l**2 - 22*l**2. Let k(j) = 365*j + 199*j + 233*j - 808*j. Determine k(w(r)).\nAnswer: 275*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113244 (base 5) to base 14.\nAnswer: 175d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + m = -4, 3*i - m = 3*m - 11. Let w = 1 - 6. Let j be (-2)\/(-8) + 11\/20. Which is the nearest to 2? (a) i (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 8*o**2 + 4*o**2 + 4*o + 0*o**3 - 16*o + 15. What are the prime factors of u(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -17728223.\nAnswer: 1\/17728223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 11*o + (-3 - 2*o + 3)*(4 - 1 - 2).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -112211 (base 3) in base 5?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32 - -1)\/(252\/(-1344)). Sort t, 2, 18 in decreasing order.\nAnswer: 18, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + q)*(-330 + 330 - 24*q**2)*(1 + 1 - 4)*(-2 + 2 + 2).\nAnswer: 96*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 8:13 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45276432 a multiple of 2186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 75 + 78 = 0. Suppose -5*q = 2*h - 23, -5*q + 19 = -h + 2*h. Suppose 0*z + 2*z = -q*d + 15, -4*d = 2*z - 20. Solve 0 = b*m - z - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107464 is divided by 277.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7152 and 90599748?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*m + 16 = -23, -66 = -3*v - 3*m. Suppose -12*z = -3*z - v. Let u = 33\/2 + -16. Is u less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1890\/2808)\/(1\/(-2)). Let p = -79\/78 - t. Factor -2\/3 + h**4 - p*h**3 + 3*h - 3*h**2.\nAnswer: (h - 1)**2*(h + 2)*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57941209 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j + j + 0 - j + 2. Let g(q) = -3*q + 1. Give 5*g(h) - 2*i(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/17 - 8*j**3\/17 - 22*j**2\/17 - 12*j\/17.\nAnswer: 2*j*(j - 6)*(j + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1365 and 4550?\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220409 and 1449.\nAnswer: 1983681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - -85. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 29. Suppose -c + 2*b = 7, 5*c + 0*b - s = -b. Let t(y) = c + 2 + y - 4 - 3. Give t(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**4 - 3*t**3 + t**2 - 1. Let n(c) = -3*c**4 + 68*c**3 - 7*c**2 + 322*c + 7. Let i(s) = n(s) + 7*y(s). What is the second derivative of i(f) wrt f?\nAnswer: -120*f**2 + 282*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 3}. Give prob of sequence uuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2200 and 3800.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 + 0*p**4 - 5*p**4 + p**5 + p**5 + 0*p**2 + 0*p**2 + (p**2 + 2*p**2 - 4*p**2)*(-4*p**3 + 3*p**3 - 6*p**3) - 2*p**5 - 4*p**5 + p**5.\nAnswer: 4*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:34 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -0*t. Suppose 0*q = q + 4*b + 2, -t*b + 6 = 4*q. Calculate the least common multiple of q and 18\/1 - 0\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -61. Suppose -2 = w*g + 5. Let d(k) = 67*k**3 - k**2 - k - 1. Let a be d(g). Round a to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33339488 a multiple of 1518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + -5 + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4 + 4 - 2*k. Let x(l) be the second derivative of 0 - 4*l + 0*l**2 + 1\/6*l**3. Calculate x(f(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131179 = -10984*u + 445242 - 49189 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine fifths of a millimeter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 233383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a - 5. Let d(y) = -235*y - 20. Calculate -6*c(r) + d(r).\nAnswer: -253*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11 + 3*c**2 - 12 - 14*c - 11 - 21. What is the units digit of i(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31 + 4*t + 19*t**2 + 31 wrt t.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + 20\/8*-2. Suppose -2*r - 108 = -2*m, a = -2*m + 6*m + 4*r - 184. What is the remainder when m is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 308048990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*g**2*h - 202*h with respect to g.\nAnswer: 130*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 2*b + 5 - 4*b)*(3*b + b - 5*b + 4)*(335*b - 151*b + 476*b)*(0*b + 0*b + 2*b) as j*b**3 + y + m*b**4 + t*b**2 + n*b and give t.\nAnswer: 26400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-222)\/4)\/(-3)*(-1 + 3). Which is bigger: 38 or w?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/210380 and -117\/110?\nAnswer: 2314180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g + 11. Let j(v) = 4*v + 10. Let m(b) = -4*i(b) + 3*j(b). Let h be m(-4). Suppose -r = 5, h*o + 2*r - 270 = -2*r. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.107, 0, 3\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 - -105. Suppose w = 7*y - 3*y - 2716. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 244*h**4*w - 97*h**3*w**2 + 13*h**2 - 1282*h*w**2 - 3*h*w wrt h?\nAnswer: 5856*h*w - 582*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -556 + 1282. Let l = f + -435. Suppose 4*q - 2*p - 294 = 0, 2*p + 3*p + l = 4*q. List the prime factors of q.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258665 and 8415?\nAnswer: 39575745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.246 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 745942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 14*s + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*v + 9. Suppose 2*t - v*r - 40 = 14, -r + 72 = 4*t. Solve 3*i + 32 = -5*a, 4*i + 43 - t = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 17*o + 2. Let q be i(7). Let x = -607\/5 + q. Which is the closest to -1\/4? (a) 0 (b) x (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(704)*2)**2.\nAnswer: -16896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1260)\/(-56))\/(51\/(-34))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 w when four letters picked without replacement from {o: 4, w: 2, b: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 12. Let m be (-3 - (-6 - 3))\/b. Let y(z) = 14*z**2 + 17*z + 17. Let d(r) = 5*r**2 + 6*r + 6. Give m*y(i) + 17*d(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-14) + (-29)\/(-2). Solve -8*w + 3*w = -j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5113 times -0.01?\nAnswer: 51.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 - 55*t**3 + 45*t**3 + 119 + 36*t**3.\nAnswer: 26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1112, 3\/5, -2519\/4 in decreasing order.\nAnswer: 1112, 3\/5, -2519\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**3 + 65*o**2 + 117*o. Let r(a) = -2*a**3 - 33*a**2 - 59*a. Let i(v) = 4*p(v) + 9*r(v). Find the second derivative of i(c) wrt c.\nAnswer: 12*c - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1117 by -2.\nAnswer: 1117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 283*f + 841 = 150*f, 13 = -a + 4*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (11 - 9) + -6 + 18 + 0\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-812239967)\/44 + (9\/4 - 3). Round j to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48527 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 6:56 PM and 1:21 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -4*t + 90. Is 16 a factor of t\/2 + -2 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 8. Let r be l(4). Let o = -43 + 61. Factor o + 0*v - 5*v - r*v - 3*v + 2*v**2.\nAnswer: 2*(v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1762, 3462, 5170, 6892, 8634?\nAnswer: 10402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 - 54 = 9*h. Let n be ((-8)\/32)\/(2\/(1 - h)). Sort -11, -1, n in ascending order.\nAnswer: -11, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*j + 8, -4*j - 340 + 323 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:00 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 874483, 874571, 874655, 874735, 874811?\nAnswer: 874883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.79 and -69492?\nAnswer: 69493.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**2 - 425*h - 430 = 0. What is h?\nAnswer: -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 81*d**2 + 2*d. Let x(h) = -14*h**2. Determine z(x(t)).\nAnswer: 15876*t**4 - 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqfffqfqqfqfffqfff. Give prob of picking 1 q and 3 f.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*v + 31 = 0, -4*v - 13 = y - 2*v. Suppose 0 = 39426*c - 39463*c + 740. Put 3, y, c, -1 in decreasing order.\nAnswer: c, 3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, 77\/6, -2\/9, 174.1?\nAnswer: 77\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43633415 divided by -8726683?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 107400024*z - 298 + 107400024*z + 69.\nAnswer: -z**2 - 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24117985 and 5?\nAnswer: 24117990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*s - 411 - 169 = 0, 0 = -2*s + 2. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -696*s**2 - 719*s**2 - 718*s**2 - 608*s**2 + 2695*s**2 - s**3.\nAnswer: -s**3 - 46*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -2 + (-18)\/(-24). Sort r, -4\/3, 2\/7 in descending order.\nAnswer: 2\/7, r, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557360?\nAnswer: 2, 5, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g = 30. Suppose 2*y = 2 + 2. Suppose y = -2*k + k. Put -0.2, g, k in increasing order.\nAnswer: g, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**3 + r**2 - r - 1. Let o(g) = g - 8. Let i be o(7). Let a be t(i). Let y(s) = s**2 + 5*s - 4. What is y(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -7*f**4\/4 - 4*f**3\/3 - f**2 + 2*f - 5. Let a be u(-2). Let o = -25 + a. Calculate the remainder when 83 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45, 90, 135?\n\"Answer: 45*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + 148. Let m = w + -2429\/11. What is i in 30\/11*i**3 + 0 + 8\/11*i**5 + m*i - 14\/11*i**2 - 26\/11*i**4 = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203 - -208. Suppose m + 5*x = -5, -3*m - 6*x + 7*x + 1 = 0. Let w = -1.5 + 2. What is the nearest to -4 in w, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.99 + 0.89. Which is the nearest to -2? (a) i (b) -13 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 1012?\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.13 - 4.53. Let v = 0 - 5. Suppose 0 = 9*s - 10*s + 2. What is the nearest to s in 3, y, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336409 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5600 and 11200?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4))**(-9))**(-11)\/((((k**5\/k)\/k)\/k)\/k**(3\/4))**(4\/11) assuming k is positive.\nAnswer: k**(-1109\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -18*z - 8*z - 11*z + 6*z + 10. Is k(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*l = -l - 56, -5*y + 200 = 2*l. Let t be 2\/1 + 2 - (0 - -2). What is the highest common divisor of y and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a minute?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 15*a - 3. Suppose -83*v - 40 = -75*v. Let p(y) = 2*y**2 - 9*y - 2. Let u(n) = v*p(n) + 3*c(n). Calculate u(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = 3*b - 952. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - d + 76 = 82, 4*s + 2*d = 38 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = q - 17, k + 5*q = 2 + 3. Does 36 divide (49 - k)*2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1674*j - 17. Let h be l(-2). Suppose -5*c - h = -3*q + 1107, 0 = 2*q + 2*c - 2964. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + r. Let z(n) = 3*n**3 - 2*n - 1. Calculate 6*g(b) + z(b).\nAnswer: -3*b**3 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 - 3. Let a(i) = -2*i - 6. Let d be a(-4). Let k be (-15)\/d*2\/(-3). Sort m, k, -1\/2 in decreasing order.\nAnswer: k, m, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -5*q - 115. Solve 5*o + 29 = -4*j, q = -5*o - j + 3*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*y - 80 = 0. Solve -37 = 4*b + 5*v, y*v = 14*v + 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f. Let j(i) = 2802*i - 4. Let b(a) = -j(a) - 2*u(a). Let k be b(1). Round k to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2203 + 2203.2. Which is the nearest to q? (a) -3\/2 (b) -2\/13 (c) -4 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 141\/315001 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 4*f - f)*(0 + 0 - f) - 120*f**2 - 312*f**2 - 46*f**2 + 81*f**2 - 31*f**2.\nAnswer: -429*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37530 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 16. Let j be (-6)\/9 - (-17)\/21. Which is the closest to i? (a) 2\/3 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 114?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/102944 and 91\/16.\nAnswer: 102944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 8, -g + 47*l - 18 = 52*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2343, -2142, -1941?\nAnswer: -1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 4. Factor -9 - q - b*q**2 + 2*q**2 + 13*q + 0*q**2.\nAnswer: -3*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bc9cc0 (base 15) to base 8\nAnswer: -42236130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 1.9.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 j, and 1 c when three letters picked without replacement from jpjccgcgcvcccg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 66*t = 49*t + 1199 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/27*-2*3\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from vbyb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74874 is divided by 1406?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a + 19 = h, 2*h = -5*a - 27. Let p(q) = -18 + 2*q**2 - 4*q + 0*q + 2*q. Is 14 a factor of p(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 17210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -355b2 (base 14) in base 15?\nAnswer: -28839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289435, 287618, 285801?\nAnswer: 283984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 7214*q - 4488136.\nAnswer: 2*(q - 4148)*(q + 541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19106 + 3 + -8 + 8. Let z = -10549 + n. Round z to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31 - (-15 - -47)) + 12 + 0\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, 5, 0.0244?\nAnswer: 0.0244","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 110 = -45. Let r be ((-6)\/8)\/(10\/360). Let a = d - r. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14475004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 1. Let l be o(3). Let i(j) = j**3 - 3*j**2 - j - 10. Let w be i(l). Let b = w - 22. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(4\/21)*y)*y\/y**(-13))\/(y\/y**(-7\/8))**(-1\/83))**(-12\/5) assuming y is positive.\nAnswer: y**(-38575\/1162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2 - m. Let x(z) = -z**2 + z + 1. Let c(u) = j(u) - 3*x(u). Suppose -5*d + 15 = -5*h, 2*d - 9 - 5 = -2*h. Let r be -6 + h*(-2)\/(-4). Give c(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -4\/23, 0.001?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -33. Let q = -0.5 - -0.8. What is the nearest to l in -2\/5, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 48 + 10*p - 5\/3*p**3 - 5\/2*p**2. Let v(z) = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18656)\/1272)\/((-24)\/6)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, 11, 32, 59, 92?\n\"Answer: 3*l**2 + 6*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -160265 and 638796.\nAnswer: 478531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4 - 2311*h**3 + 16142*h**2 - 32264*h + 18432 = 0. What is h?\nAnswer: 1, 2, 4, 2304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1879 micrograms in milligrams?\nAnswer: 0.0091879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(4\/8 + -4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*w + 149, -2*w + y = -24 - 55. Calculate the remainder when 147 is divided by w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5757161 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 156228320?\nAnswer: 1093598240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 35. Let n = 65 + q. Let x = n - 36.076. Round x to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*((sqrt(19)*2 + -5 - -2*(0 + sqrt(19))) + 5)**2*1.\nAnswer: -4560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12956 is divided by 6457?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5075*a**3*z**4 + 19*a**3*z**2 - 12*a**2*z - 487*a*z**5 + 9*a*z**2 + 6 wrt z?\nAnswer: 121800*a**3*z - 29220*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 710?\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 519.829 + -520. Is 15 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 3*a**6\/10 + a**5\/20 - 269*a**4\/24 + 19*a**2 + 2*a. Find the second derivative of b(w) wrt w.\nAnswer: 216*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/340)\/((4\/10)\/2)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 425, 535, 723, 995, 1357?\nAnswer: 1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*g**2 - 46*g**2 - 42*g**2 - 40*g**2 - 47*g**2 + 211*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 58 and 58 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 5*z + 11*y - 20, 3*z - 10 = 2*y. Let v(s) be the second derivative of 0*s**2 + 0 + 1\/15*s**6 + z*s**3 - 4*s + 0*s**5 + 0*s**4. Factor v(q).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1321 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*i = -26, 4*i = -0*h + 5*h - 6. Suppose 3*y + 4*u - 4 = -8, 5*y = -5*u - 5. Which is bigger: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v + 29. Let w be d(0). Suppose 4*q + 72 = -4*c, -c = -0*c - 3*q + 2. Let b = c + w. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 332.55, 2\/21 in decreasing order.\nAnswer: 332.55, 0.3, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3421114 (base 6) to base 12\nAnswer: -8479a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15541\/2070 - -74\/345. Let v = 65593\/182 + -2543\/7. What is the common denominator of v and r?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733914033.\nAnswer: 229, 1237, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 + 4*p - 3. Let j(n) = -n**3 - 10*n**2 - 12*n - 2. Let x be j(-8). Let b = x - -36. Determine t(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2. Let z(c) = 3*c + 0*c**3 + 4 - 2*c**3 + c**2 - 1. Let a be z(-4). Let v(q) = -135*q - q**2 + a*q. What is o(v(u))?\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 9. Suppose 0 = 5*u + 5*g, -4*g - 3 = 5*u + 2. Let k(q) = q + 9. Let w(d) = u*k(d) - 6*a(d). Let p be w(-4). Solve 0 = p*y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 - -209. Let z(u) be the first derivative of -37*u**3 + g*u**3 + 12*u**2 - 40*u**3 + 35. Find the second derivative of z(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let n = 0.05 - 2.05. Sort n, w, -1 in decreasing order.\nAnswer: w, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -11155*t**3 + 46*t**2 - 36*t + 6. Let b(q) = 11155*q**3 - 54*q**2 + 42*q - 7. What is 6*b(i) + 7*x(i)?\nAnswer: -11155*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6833 = -2*s - 5*q + 1, 3*s + q = 10251. What is s rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*41148.6.\nAnswer: -45263.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, l: 2, p: 4, a: 3}. What is prob of picking 1 p, 1 e, and 1 l?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 148657318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, c: 1, l: 3, y: 2}. Give prob of picking 1 l, 1 y, and 1 c.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11099883 + 0.02.\nAnswer: 0.13099883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 417, 0.4, -0.4, 1249?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-131 + 143 - (1 - -16)) + 5 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1656 and -305.\nAnswer: -50.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.01801572 rounded to 2 decimal places?\nAnswer: -3.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 5. Let g = -2 - s. Let h = g - -19.047. What is h rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -756, -1525, -2294, -3063, -3832, -4601?\n\"Answer: -769*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -227\/8 + 231\/8. Let r = -18.4 + 2.4. What is the smallest value in r, a, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 0.028962?\nAnswer: 0.463392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, 0.008, 18\/17, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/5 - 584*i**2\/5 - 1156*i\/5 - 576\/5.\nAnswer: -4*(i + 1)**2*(i + 144)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**3\/3 + 3*c**2 + 13*c + 5. Let r be l(6). Let o = -2 + r. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.482254297 to 3 decimal places.\nAnswer: -1.482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 68*d = 1334 + 297, 15*h - 20*h + 7*d + 173 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635947 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 139.\nAnswer: -30\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606957 = 121*t + 605021 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*j**2*k*l - 3567*j**2*k - 6*j**2 - 30*j*l**3 - 3*j*l**2 wrt l?\nAnswer: 41*j**2*k - 90*j*l**2 - 6*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120130 less than or equal to 120131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 85*n**2 - 375*n - 495.\nAnswer: -5*(n + 3)**2*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a03708 (base 11) in base 2?\nAnswer: 1100111010111000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1. Let p(h) = -2*h**3 + 2*h**2 - 5*h + 2. Let k be p(2). Let x be (k + (-1 - -5))\/1. Is i bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-36)*44\/(-726).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 28541 = -2*n + 36456, 0 = -4*n - 10*a + 129998. List the prime factors of n.\nAnswer: 32497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(7\/7))\/(-1))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.8 - -7.8. Which is the closest to 0? (a) q (b) 0.09 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h**2 - 476*h + 61. Let i be d(53). Calculate the highest common divisor of 24 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -553, -2094, -4619, -8128, -12621, -18098?\nAnswer: -24559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -48 + 97 - 19*n**2 - 49. Let u(z) = -z. Give y(u(x)).\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -344016 (base 9) in base 16?\nAnswer: -325f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(136) + -2*sqrt(136)) - (3*sqrt(136)*3 - sqrt(136) - sqrt(136)))\/(3*sqrt(800) - -4*(sqrt(8) - (sqrt(8) + sqrt(32)\/sqrt(4)))).\nAnswer: -9*sqrt(17)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -24914*d**3 - 16*d**2 - 12*d + 2. What are the prime factors of s(-1)?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128893 is divided by 1535?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783*(6 + -7)*-1?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 61. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 137920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Suppose 0*c = 5*r - 3*c + 2, 0 = 3*r + c - 10. Let t(d) be the first derivative of -2 + 2 - 2*d**r - 1 - 1. Determine n(t(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*a**2 - 52*a**2 - 5971*a**3 + 5925*a**3.\nAnswer: -46*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.107658 and 0.1.\nAnswer: -0.0107658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l. Let p be y(3). Let w(b) = b**3 - 9*b**2 + 2*b - 9. Let o be w(p). Let c(j) = -4*j + 4. Let s(d) = 5 + 7 + 5 - 17*d. Give o*c(n) - 2*s(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -23. Suppose 0 = j*s - 2, -s = -4*n + 15. Suppose -12 = -2*z - 2*z. Which is smaller: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -457053, -457028, -457003, -456978, -456953, -456928?\n\"Answer: 25*y - 457078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 - 2.9. What is the nearest to z in -1, -2\/19, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1529.952 * 30\nAnswer: 45898.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 442 = 17*i. Let o = 1445 - i. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8794\/5 - -1752. Put 3, -0.2, d in descending order.\nAnswer: 3, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10229307*q. Let j(v) = 7242*v. Calculate 7062*j(k) + 5*p(k).\nAnswer: -3531*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 1, -i + 3*c - 10 + 2 = 0. Let b(v) = -2*v - 9. Let r be b(i). Put 3, r, 5 in descending order.\nAnswer: 5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-10) + 0 + 411\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/((-6)\/(-36)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/12)\/((-24)\/108*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.010219kg?\nAnswer: 1010219000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 70.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.107 times 865?\nAnswer: -92.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 12925848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 6. Let n(x) = 10*x**2 - x - 4. Is n(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -4591, 0, 2, -2\/45, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.98 - -0.02. Let t = a - -3. Let q = 151\/117 - 13\/9. What is the closest to 1 in q, -0.5, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8335.023mm in nanometers?\nAnswer: 8335023000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 32 = -30 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x - 2. Let t = 84 - 76. Does t = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -35\/11 (b) -5\/8 (c) -0.1 (d) -0.8 (e) 14 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*(-1*(0 + sqrt(832) + sqrt(832)) - sqrt(832) - 3*-1*sqrt(832)) + 3))**2 + -5.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*o**4 - 1415*o**3 - 21705*o**2 - 45765*o + 21870 = 0. Calculate o.\nAnswer: -27, -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -997.9995885 + 998. What is c rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/(490\/(-600) - 8\/(-12)). Solve -10*s - 270 = -y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5089, 1\/5, 4\/5 in increasing order.\nAnswer: 4\/5089, 1\/5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 81*n - 169. What is v(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g**3 + 15*g**2 = 0 for g.\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 5*f + 2. Let p be z(3). Let u be (2\/(-5))\/(1\/(-5)). Let y be (-6)\/p*(4 - u). Solve y = v - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 4*g - 29. Let k be q(6). Let u(z) = -k*z + 17*z + 15*z. Let j(x) = 18*x. Calculate j(u(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f + 3. Let r be q(0). Suppose -r*t = -p + 3*p - 79, -5*t + 137 = -2*p. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 7*a**2 + 5*a - 4. Let c be o(-6). Suppose -5*s - 5*d = -25 - 0, -c*d = 3*s - 12. What is the remainder when 6 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -515156, 0 in ascending order.\nAnswer: -515156, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105424 divided by 4.\nAnswer: -26356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48285\/1125 - 43 - 409\/200 and (63\/(-2) - -2)\/(-214).\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12\/83, -2, 5\/2, -3, 2127 in descending order.\nAnswer: 2127, 5\/2, 12\/83, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i**2 + 3*i - 7. Let z(c) = -2*c**2 - 1. Let v(x) = -q(x) + 6*z(x). Let l be v(4). Solve 2*j + 7 = -3*s - 3*j, -4*j - 13 = -l*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 13858?\nAnswer: -13854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 12*l**3 - 40*l**2 + 72*l - 24. What is b(3)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 16235*p - 8262*p - 5 - 7972*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 1277138.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1214190 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3508\/3)\/(4\/222). Let l be r\/227192 - 4\/14. Let c = l - -624783\/81140. Calculate the common denominator of c and -1\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 1, o: 3, b: 1}. What is prob of picking 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/429 and -67\/2458527.\nAnswer: 351569361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -172 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108142979 a multiple of 1143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1205909890 to the nearest integer?\nAnswer: 34726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1544955169*c*z - 74778*c - 3414 with respect to z.\nAnswer: 1544955169*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let y(h) = -5*h - 1. Let l(s) = -6*k(s) + y(s). Let p(m) = -6*m + 6. Let w(v) = -5*l(v) - p(v). Let n be w(6). Put 3, n, -2 in descending order.\nAnswer: n, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 2. Let i be k(0). Solve -3*q - i*v - v + 30 = 0, 4*q - 35 = -3*v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 580086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/119)\/(1148\/(-14063)) + -8 - 0\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 1:32 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 1:05 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 190 = -s, 1143*c + 5*s = 1141*c + 198. What is the remainder when 4979 is divided by c?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + 95. Let o = 118 - q. Solve 0*a + o*a + 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 2, p: 1, y: 3, b: 7}. Give prob of picking 3 b.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 19 - 296*q**2 + 34)*(-2*q**3 + 1 - 1).\nAnswer: 592*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + d - 12. Suppose -3*s = -d, -2*o - 2*s + 3 = -5. Solve 0 = n - c + 1, o*c = 5*n - c + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -201?\nAnswer: -15\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**9\/20160 - f**8\/1280 + 121*f**4\/6 - 188*f. Let p(o) be the third derivative of d(o). Factor p(t).\nAnswer: -3*t**3*(t + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 8 - 4 - 5*t to v*t + w and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/181127 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**5\/180 - v**4\/18 - 6*v**2. Suppose h(j) = 0. Calculate j.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 15) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-84))\/((-6)\/45)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1117.1 + 1117.5. What is the nearest to -3\/2 in 0.068, g, -4?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -4*i + 3*d, 30*i = 33*i + d - 82. What is the highest common factor of i and 168?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5226 - 5223. Solve l*p = -17*p - 120 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**0)**(3\/7))**(-10) assuming l is positive.\nAnswer: l**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - 34*k**2 - 168*k - 251. Calculate t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/9 - 11222\/(-3) - -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 17 - (-2 + (6 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 32 = -0*z. Let r be 4\/z*4 - 15. Let f(t) = t**2 + 13*t - 5. Is f(r) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-15)\/2)\/(12\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -2)\/(-23 + 22). Let y be (-1 - u)\/(-1) - 1 - -2231359. Suppose -731360 = v - y. What is v rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 4:57 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391414.\nAnswer: 2, 23, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 15 = -2*d + 3*q, -q - 20 = 4*d. Suppose 0 = 3*a + 2*h - 20, -3*h - 45 = -7*a + 4*a. Let m be (-8 + -2)*d\/a. Solve -5*v - m = 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15547\/33 + -471. Let j = -4.162 - -0.092. Let p = -1.07 - j. Which is the closest to -1\/3? (a) p (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhc when three letters picked without replacement from {h: 1, m: 6, c: 4, j: 6, u: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -5 + ((-5 - -2) + -4 - -8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 80*k**2 - 161*k**2 + k + 79*k**2 + (1 - 2*k - 1)*(3*k + 2*k + 3*k))*(0*k - 2*k + 0*k).\nAnswer: 36*k**3 - 2*k**2 - 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + -1*(-18 - -7). Suppose 15*t + a*p - 359 = 13*t, -3*p = -t + 207. Calculate the greatest common divisor of 256 and t.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - o + 10, -4*b - 3*o = 3 - 0. Let x = 660 + -653. Find the first derivative of 22*v - x - b - 27 wrt v.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*b + 17, 5*b - 8*q = -3*q + 5. Solve -4*h - 19 - 17 = b*n, -3*h = -4*n - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313013212 (base 4) in base 11?\nAnswer: 303635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 + -1. Let x = c - -0.4. Sort x, 0.1, 3 in increasing order.\nAnswer: 0.1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 50*c**2 - 165*c - 12 + 150*c**3 - 95*c**4 + 46 + 11 - 12*c**5 + 27*c**5 = 0.\nAnswer: -1, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 3:41 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17703150 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g - 2*g - 4*g + 9*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = 0, -2*n + 2*f - 3 = -f. Let v be (-3 + n)\/2 - -24. What is the tens digit of ((-78)\/v)\/(1\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224789?\nAnswer: 19, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101756*i**3 + 2*i + 7537?\nAnswer: -610536*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - 38 - (-3 - 0 - (-17 + 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**2 - 20*j + 79. Let i be l(19). What is the highest common factor of i and 477?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-6\/13)\/d))\/(d*d\/d**(-6)))**(2\/87) assuming d is positive.\nAnswer: d**(-48\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246551.5 millilitres to litres.\nAnswer: 246.5515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-10) - 10\/4. Let d be 7\/(-4) - (-3)\/2. Which is the nearest to d? (a) x (b) -1\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 424 + 714 = -5*k, k = -5*b - 2891. Sort -1, 5, b, -5 in descending order.\nAnswer: 5, -1, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 269472?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331, 2659, 8981, 21295, 41599, 71891, 114169?\nAnswer: 170431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - d + 14 = d, -u + 2*d + 4 = 0. Suppose -t + 4*w = t - u, 0 = 2*t + 4*w + 2. What is the remainder when 7 is divided by 5 + -2 - (-1 + t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/((-145)\/(-20) + 10\/120*-39)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-22) - 0 - 141960\/(-660). Calculate the highest common divisor of 1247 and s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 56 = -16. Suppose 30 = -y + 4*y. Which is greater: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h\/(h\/(h**(-1\/4)*h)))*h*h**(-3\/8))**(-24) assuming h is positive.\nAnswer: h**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49.1 + 50. Which is the closest to 2? (a) 3 (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) + 888\/9. Let i = -36 + n. What is the remainder when i is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 11:34 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(112\/(-21)))\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*c + 92*c - 5270. Let q = c + 1830. Round q to the nearest 10.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 6*r + 3. Let i be g(4). Let s = 0 + i. Suppose 0 = -4*p + 9 + s. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - (-6 - 1)) + (0 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -1 + (-42 - (-24 - (26 + -5)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*y + 24, -5*r = 3*y - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -5) + 15 - 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (1 + -2)) + 76 + -83.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 4*x**2 - 6*x + 1. Let w be m(5). Let q = -45424 - -45539. Calculate the remainder when q is divided by w\/10 - (-294)\/10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzr when three letters picked without replacement from {r: 4, z: 10}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvavvvavvvavvv. What is prob of picking 1 a and 3 v?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:23 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((5 - 80\/12)\/1)\/(10\/(-36)). Let j(k) = -k**3 + 7*k**2 - 7. Give j(m).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 4. List the prime factors of k(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2376 + 2772. What is the lowest common multiple of k and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/7 (b) 5 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 5*h**2 - h - 2. Suppose -1 = -2*y + 2*n + 9, 0 = y + 2*n + 4. Calculate the remainder when w(-5) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46\/85 + 1\/17. Let k = -2 - 0. Which is the third biggest value? (a) j (b) -4\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + j**2)*(-2513 + 4272 - 2168).\nAnswer: -409*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 7*h + 73. Let q be w(-13). Which is the second biggest value? (a) 3 (b) q (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*j - 94862 - 72024 - 66586. Is j a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 20 = -c, 4*c + 63 = 2*y + 33. Solve -2*n = -3*o + 24, -y*o + 3*o = 5*n + 22 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-6)\/2058) + -3. What is the hundreds digit of ((-544)\/(-10))\/((u\/(-50))\/(-17))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -6*a + 2*a. Suppose -11 = -s + a. Let q = -5 + 8. Solve 0 = -l - z - q, 5*l - 3*z = -4*z - s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 164881245.\nAnswer: 164881243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2661 - 403 + 16*n**2 + 21.\nAnswer: 16*n**2 + 2279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -57\/109?\nAnswer: -57\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -723 + -3160?\nAnswer: -4103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 142 and -12.8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k - 32*k + 1844 = 153 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*y - 51*y = 4589 - 805 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 61 - 5. Solve -550*m**2 + 4*m + m**3 + l + m**3 + 542*m**2 - 6*m**3 = 0 for m.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 + -1001?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*o + 13, -5*r - 115*o + 38 = -114*o. Let t = -198 - -302. Calculate the smallest common multiple of r and t.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 8. Sort -3, 2, s in decreasing order.\nAnswer: 2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/138 and -155\/25392?\nAnswer: 25392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*t**3 + 207*t - 207*t + 5*t**3 - 2*t**3 - 2*t**3 + (t**3 + t - t)*(2 + 0 - 1).\nAnswer: -49*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 958278.3 kilometers?\nAnswer: 958278300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6\/r)\/r**(-7\/6))\/(r**(-15)*r**(-1\/8)) assuming r is positive.\nAnswer: r**(511\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17 - 1.57. Let r = y - -0.4. Let h = 119.5 - 120. What is the third biggest value in 2, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.0107 and -0.0512.\nAnswer: -1.0619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12031309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4\/4 + 120185*r**3\/2 - 12969045*r**2\/4 + 43758225*r.\nAnswer: -5*r*(r - 48020)*(r - 27)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 1309*b**4\/4 + 5*b - 95. Let u(x) = -x. What is u(o(l))?\nAnswer: -3927*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -50\/7*r**2 + 0 - 67\/7*r**3 + 9\/7*r**5 - 16\/7*r**4 - 8\/7*r = 0. Calculate r.\nAnswer: -1, -2\/9, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 104 - 181 = 0. Let i = 230 - p. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -8\/7, 92.\nAnswer: -8\/7, -3\/4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(0*k + 0*k - 3 + k**2) + 4*k**2 - 6*k**2 + 4*k**2 to h*k**2 + z + s*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -427*y + 912*y + 430*y to f*y + n and give f.\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-1 - 5)\/(48\/112).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 58, 99, 144?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 2. Let m be f(-2). Suppose m = -u - 4*u + 5. Suppose -3 - 7 = -5*z. Are z and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 - 6510*o**3 + 2834500*o**2 - 346224000*o + 3185280000 = 0. Calculate o.\nAnswer: 10, 240, 2765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76476769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 157 + w - 90 + 19.\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from vayy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 3, -5, -9, -1 in increasing order.\nAnswer: -9, -5, -1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.09, 0, 2, 0.3, -370, -1?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/3758071 and 2\/3.\nAnswer: 11274213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11230909, 22461816, 33692725, 44923636?\nAnswer: 56154549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4. Let n = 4.6 - p. Let h = n + 0.4. Put -1, h, -3 in descending order.\nAnswer: h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - 3.4. Let k = 2 + y. Which is bigger: k or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3552724?\nAnswer: 2, 7, 31, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -258*k + 26 + 21 - 47 to f*k + w and give f.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31983283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 3*d**5\/110 + 67*d**4\/33 + 8*d**3\/3 + 47*d + 6. Factor y(f).\nAnswer: 2*f*(f + 44)*(3*f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11560 and 544?\nAnswer: 46240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - -7 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) -1\/7 (c) -18 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 6*o = -1804. Suppose -144 = -w - 5*j, j + 4*j = 4*w - o. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 3.6.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {u: 1, w: 1, r: 4, q: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 15*q**3 + 40 + q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-5)\/15*(5\/(-10))\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 5*q**4\/12 - q**3\/2 + 3*q**2. Let f be y(2). Let d = f + -2. Calculate the greatest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 6, c: 7}. What is prob of picking 2 w?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(6))**2 - (sqrt(6)\/sqrt(3) + 5)) + sqrt(10)\/(sqrt(125) + sqrt(5))*6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + o - 8. Let r(g) = 2*g**2 + 4*g - 38. Let v(x) = 4*h(x) - r(x). Let n(a) = -90*a**2. What is v(n(c))?\nAnswer: -81000*c**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 4:30 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + 3*(sqrt(84) - (sqrt(84)*-2 + sqrt(84))) + sqrt(84) + 3*sqrt(84)*-1 + sqrt(84))\/(-3*6*(sqrt(300)*2 + sqrt(300))).\nAnswer: -sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 12*z**2 + 10*z - 17. Is v(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(300)*-1*-6)**2.\nAnswer: 120*sqrt(3) + 10805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 j, and 1 t when three letters picked without replacement from {c: 3, b: 2, t: 4, j: 4, k: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 - 25*f - 4. Let k(t) = -2*t**2 - 9*t - 1. Let o(v) = 8*k(v) - 3*n(v). Let h be o(3). Solve a + a + 16 = -4*x, -h*a - 23 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3559*v**2*y**2 + 2*v**2*y + 516*v*y wrt y?\nAnswer: 7118*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from nnunnunnnn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7df87 + 2?\nAnswer: -7df85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 + -3.12. Let g = -5.4 - -5. What is the nearest to 6 in g, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206589*o - 207831*o + 414426*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/25 + (-1128)\/(-120). What is the highest common divisor of 4671 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*c + 26*c**4 - c**2 - 9*c**5 - 10*c**4 - 4 + 3 + 1 wrt c?\nAnswer: -540*c**2 + 384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 9*p - 32. Solve -2*a + 2 = 2*r + p, 5*r - 13 = 2*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25435 (base 6) to base 12\nAnswer: 227b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -406, -1, 116, -2, -14 in decreasing order.\nAnswer: 116, -1, -2, -14, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5819865184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(98)*3 + -2 - (-5 + 6*(-1 + sqrt(98))).\nAnswer: -21*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -16*n + 504. Let t be 4\/16 + n\/(-24). Let p(z) = z**2 + 2*z + 4. Let y be p(t). Solve 4*x = 4*w - 16 - 8, x + 4*w - y = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5*g + g - 3*g - 2.\nAnswer: -7*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2694763*u + 2694763*u - 4*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-102667)\/(1 + (-6 - -4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 380875 divided by -2\nAnswer: -380875\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177489\/4 - -44015. Let r = 355 + l. What is the common denominator of 81\/28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**4\/12 - 13*g**3\/6 + g**2. What is the remainder when 2 is divided by m(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1008)\/(-1584)*(-2)\/(-7))\/(2\/4).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 93425*y. Let x(p) = 144*p**2. Calculate x(k(w)).\nAnswer: 1256865210000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 11:13 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**3 - 2*k**2 + 788*k - 6. Let t(j) = -4*j**3 - 2*j**2 + 791*j - 8. What is 4*b(d) - 3*t(d)?\nAnswer: -4*d**3 - 2*d**2 + 779*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119888276?\nAnswer: 2, 29972069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2646405430 to the nearest integer?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 407087 - 407168 + 7*f**3)*(-f**2 - 3*f + 3*f).\nAnswer: -4*f**5 + 81*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-6\/5)*d*d**(2\/3))**29 assuming d is positive.\nAnswer: d**(1682\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(4\/1 - 8). Let a be ((-4)\/(-1))\/f*1. Put a, 3, 2 in increasing order.\nAnswer: a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -17, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 - 2*v + v)*(-2 - v**2 + 2).\nAnswer: v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2378)\/((1\/(-2))\/((-3 + -6)\/(-36))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-42) - 5\/(140\/8))\/((-1540)\/1260)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -52, -78, -114, -160, -216, -282?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-2)*(1 - 5) + 32 + -1 + -38.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20ab (base 13) in base 3?\nAnswer: -20012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/7 of a week?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*r**3 + 252*r**4 + 0*r**2 - 263*r**4 + 2*r**5 - 7*r**2.\nAnswer: r**2*(r - 7)*(r + 1)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + 3. Suppose -5*i + 58 = 33. Suppose 4*v + 2 = 2*q + 8*v, v = 2*q - 12. Let m(p) = p - 3 - i*p - 5*p - q. What is 3*m(o) + 8*z(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96715731?\nAnswer: 3, 7, 4605511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ijjiji.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-8)\/t*t**(-17))\/(t\/t**(-4)*t*t**(1\/24)) assuming t is positive.\nAnswer: t**(-745\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -12133111?\nAnswer: -12133110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821 is divided by 753?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/4 - 41345*a**4\/4 - 82687*a**3\/4 - 41343*a**2\/4 = 0.\nAnswer: -41343, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 7:55 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:04 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 9 - -13 - (-5 + 1) - 17\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138338662907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 166927660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2506 - 37514\/15. Find the common denominator of -14\/155 and c.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-16)*f*f)**(-1)\/((f\/f**20*f)\/f**(-8)))**(-3) assuming f is positive.\nAnswer: f**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i + 52 = -59. What is the common denominator of -133\/36 and 77\/(-164) + (27\/9)\/i?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -3 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2*c**3 + c**2 - 2*c - 3. Let n(f) = 5*f**2 - f + 1. Let p = -23 - -19. Let i = p + 1. Calculate i*l(m) - 4*n(m).\nAnswer: -2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, h: 10}. Give prob of sequence lhhh.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31587 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*6\/(-3)*-2. Suppose -3*w = -2*w - 81. Let k = w - 563\/7. Which is the closest to 0? (a) 0.5 (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q + 1759 + 661 = 0. Is -69 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1961*g - 1944*g - 2*g**3 + 3927*g - 18 + 1339*g**2 wrt g.\nAnswer: -12*g + 2678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 - 51 = 0. Let s = m + -53. Let v = -1.9 + -0.1. What is the biggest value in v, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, 93.\nAnswer: -2, -0.3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3921721 + 6121721. Let m be (1 - 1)\/(-1) - 0. Suppose -n + m*n - q = 0. What is n rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/17 + 13\/(-5). Let q be (-20)\/(-8)*(-16)\/(-20). Let n be q*2\/(-2)*-2. Which is the second smallest value? (a) -1 (b) 1 (c) n (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40510 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4020 and 2580.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 83 + 0 + 4 + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1004444*h**3 + 2054601 wrt h?\nAnswer: -3013332*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 12400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -45.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1712*q + 1957*q - 4861*q + 1717*q)*(0 - 5 + 4).\nAnswer: -525*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35316 is divided by 17599?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:43 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 218\nAnswer: 152.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + -0.2. Suppose 2*k = 2*c - 2, 0*c = -3*c + 6. Let p = -75 + 73. What is the closest to -0.1 in k, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*t = -61 + 1393. What is the nearest to -0.1 in 0.03, -6, 1\/6, t?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6288 or 6286?\nAnswer: 6286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 158*u + 1443. What is s(-3)?\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*d - 196*d = 2816. Calculate the remainder when d is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/16 and 81\/7156480.\nAnswer: 7156480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 161333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-1 - (-22 - ((37 - -16) + 14))).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -226, 924, 4260, 10874, 21858, 38304, 61304?\n\"Answer: 182*y**3 + y**2 - 127*y - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*a - 5*a + 152, 3*a = 3*r - 114. Let g = -82 + r. Let o = -41 - g. Put -2, 4, 5, o in increasing order.\nAnswer: -2, o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 4*a - 753. Let g(z) = 2*z**2 - 6*z - 752. Give 3*g(p) - 4*s(p).\nAnswer: 2*p**2 - 2*p + 756","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-502)\/(-19)*(-14)\/(-1). Let x(a) = 75*a - 5. Let h be x(5). Let p = h - k. Put -0.4, p, -1 in decreasing order.\nAnswer: p, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/21, 301, 398, 11?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -69*x**2\/8 + 405*x\/8 - 297\/4 = 0. What is x?\nAnswer: 66\/23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:09 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + -0.16. Let k = -0.21 - x. Let p be (1\/6*3)\/3. What is the second biggest value in p, k, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 3*y**2 + 3*y**2)*(4*y**2 - 4*y**2 - 3*y**3 + (0*y**2 + 3*y**2 + 2*y**2)*(0*y - 2*y + 0*y) + 4*y**2 - 4*y**2 - 3*y**3).\nAnswer: -32*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**2 + 240*l - 4500 = 0.\nAnswer: -75, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5029)\/(-14124) - 6\/22?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from nynnoynoonnyony.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(108)*-1 - (sqrt(108) + (sqrt(108) + sqrt(108) + -1)*-2 + sqrt(108)))**2 + -4.\nAnswer: 12*sqrt(3) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -38. Suppose 5*t = -3*n - 53, n + 0*n - 2*t = -25. Let p = n - u. What is the least common multiple of 10 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8 = -q. Suppose q*k = -2*k. Is k less than or equal to -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/122880200 and -33\/107520175.\nAnswer: 860161400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1278 or 16641?\nAnswer: 16641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-66))\/(332\/(-249)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from nnnnnnnwnw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 11 - 7 = b, 3*b = 4*c - 14. Factor -2\/7*o**b - 4\/7*o - 2\/7.\nAnswer: -2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248884766 to the nearest integer?\nAnswer: 15776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**2\/r*r)**(-50))**(-1\/39)\/(((r*r**0*r)\/r)\/r**(-1\/2))**(-9) assuming r is positive.\nAnswer: r**(1553\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -216, -329, -446, -567, -692, -821?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)\/(2*sqrt(3) - sqrt(3)) - sqrt(20))*-2)\/((sqrt(1000) - sqrt(1000)*-1 - sqrt(1000))*2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.134 and 7750.976711.\nAnswer: 7750.842711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -128, 0, -3.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 5. Suppose 0 = -5*b - g + 499, 4*g + 141 = 4*b - 263. Suppose 4*q + 3*h + 21 = 101, 0 = s*q + h - b. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w + 3. Let v(q) be the third derivative of q**4\/12 + q**3\/6 - 51*q**2. Let r(z) = -4*a(z) + 12*v(z). Calculate r(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13191533 times 12?\nAnswer: -158298396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -106. Let s be -2 + 3 - (h + 2). Do s and -16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13272 and 20648.\nAnswer: 34255032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 29. Let r(p) = -325 + 325 - s*p. Let w(g) = 7*g. What is r(w(d))?\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 9, -2, 0.3, 115, -4\/3, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-6) + -2)*-8. Let s = q + -7. Sort 4, 3, s.\nAnswer: s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 7.19\nAnswer: 107.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3467, -3435, -3389, -3329, -3255?\nAnswer: -3167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -7\/43, -3, -2\/3, 8.13, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(88)\/sqrt(32) - -2*(0 + sqrt(891)).\nAnswer: 31*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15051, 15083, 15145, 15243, 15383, 15571?\n\"Answer: q**3 + 9*q**2 - 2*q + 15043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 4\/(-4)*-23. Solve 0 = -j*d + 29*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*4*5)\/sqrt(12).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/14*(25\/(-30) - -2). Which is the closest to 0.05? (a) -5 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50599, -50605, -50611, -50617, -50623, -50629?\n\"Answer: -6*i - 50593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 56*b + 1404.\nAnswer: -4*(b - 27)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 319, 568, 917?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40524312.\nAnswer: 2, 3, 269, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9298, -9733, -10446, -11431, -12682?\n\"Answer: t**3 - 145*t**2 - 7*t - 9147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 201\/469*(-28)\/12 + (-8 - 1) + -84?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2716*n - 9 - 2761*n + 9.\nAnswer: -45*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029385298 rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29410*x - 1445 + 1445.\nAnswer: -29410*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69916 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -2\/7, -0.1, -3.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 11. Let o be 1\/(1 + 0 + 320\/(-352)). Find the second derivative of 17*r - 2*r + o*r**2 - 11*r**2 + n*r**4 wrt r.\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*m**3)*(-7 + 23 - 9) + (m**2 + m**2 - m**2)*(0*m + 0*m - 2*m).\nAnswer: -23*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29318 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + 0*u)*(-3 + 0 - 1)*(-1 + 2*u**4 + 1).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6270231 + 434?\nAnswer: -6267575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*i - 14*i - 434. Calculate the highest common divisor of i and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75.73703 nanograms?\nAnswer: 0.07573703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 16629990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = -19*q - 40. Suppose q*l - 13010 = 1630. Calculate the greatest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-147)\/182)\/((-410)\/1599*45\/25)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(sqrt(19) + (-2*sqrt(19) + -2)**2).\nAnswer: -403 - 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - 0) + -3 - -2) + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1134, 4, 1124, 2226, 3310, 4376?\n\"Answer: -9*w**2 + 1165*w - 2290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -9.6. Let i = u - 0. Let s = i + 0.1. Sort -0.1, -4, s.\nAnswer: -4, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - 2*sqrt(117)) - sqrt(117))*3)\/(sqrt(36) + sqrt(72)\/sqrt(2)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -40. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(4\/3)\/w)**(-6))**(-13) assuming w is positive.\nAnswer: w**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 + 14*m**2 + m - 5. Let y be i(7). Solve r - 4*w + w - 17 = 0, 2*w + 14 = y*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:45 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1314 - 1312. Solve u - 9 = -m*l - 4, 0 = l - 3*u - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**5 + j**5 + 4*j**5)*(-3 - 4 + 1)*(-2 + 0 + 1) + j**5 - 3*j**5 + 3*j**5.\nAnswer: 19*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -266604 divided by -5127\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 1026255.\nAnswer: 7183785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)*i*(i*i*i*i**(-1\/25))\/i*((i*i**(2\/7)*i)\/i)**12 assuming i is positive.\nAnswer: i**(2868\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -7) + (18 - 2) + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1861*n = -2811*n - 44175 - 64125 for n.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-28))\/((-7872)\/9184)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*z**4 - z**3 - 5*z**2 - 21*z.\nAnswer: 624*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 375*r. Let p(g) = 49*g**2 - 2*g + 2*g - 25*g**2 - 25*g**2. Determine p(i(v)).\nAnswer: -140625*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67 - (9 + (-82 + 73 - (2 - -1)))) + -4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -79. Let x(u) = -12*u**2 + 3*u - 21. Let i(p) = -24*p**2 + 7*p - 43. Let o(a) = z*i(a) - 7*x(a). Find the first derivative of o(r) wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 68220.\nAnswer: 68220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 0 + 1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o - o**5 - 18*o**2 + 1220*o**3 + 4*o**2 + 1199 + 5*o**2 + 9*o**2 wrt o.\nAnswer: -20*o**3 + 7320*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i + 5. Let m be y(0). Let q(t) = -2*t. Let g be q(-1). Let o(d) = 3*d - d**g + 5*d**2 - 5*d**2 - 3 + d. Give o(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58534757?\nAnswer: 17, 41, 137, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1230858094 to the nearest one million.\nAnswer: 1231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87\/58*8\/(-90).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 60.15 - -13.49113\nAnswer: 73.64113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 - -78. Let g be (-253)\/(-46) + ((-1)\/2)\/1. Suppose 0*n + n + 17 = g*d, d + 1 = -2*n. Put d, -5, -0.2, c in ascending order.\nAnswer: -5, c, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6461*t**2 + 3213*t**2 + 3234*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 145\/(-174) + 377\/6. What is the greatest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**3 + 36*s**3 - 4*s**3 - 5*s**3 - 10*s**3 - 6*s**2 - 145 - 9*s**3.\nAnswer: -3*s**3 - 6*s**2 - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 1, 7, -1 in increasing order.\nAnswer: -26, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -196*v**2 - 9*v + 11. Let g(w) = 3*w**2 + w - 1. What is 22*g(z) + 2*n(z)?\nAnswer: -326*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5567*y**2 - 68229*y - 342. Let s(v) = -242*v**2 - 2967*v - 15. Let f(i) = -5*g(i) + 114*s(i). Find the second derivative of f(l) wrt l.\nAnswer: 494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yytoxxoyty. Give prob of picking 3 y.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -13*l**3 + 11*l**2 + 40*l. Give d(5).\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54866907.9 nanoseconds to weeks.\nAnswer: 0.00000009071909375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kebv when four letters picked without replacement from bbvek.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 138, 271, 394, 501, 586, 643, 666, 649?\n\"Answer: -p**3 + p**2 + 137*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 974384, 974167, 973950, 973733, 973516, 973299?\n\"Answer: -217*j + 974601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*b - r, 10*r + 25 = 5*r. What is the third biggest value in -3\/7, -0.9, b, 1\/8?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 * 1001\nAnswer: 21021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 24 = b. Let y be ((-8)\/(-10))\/(b\/(-30)). Let q = y + 3. Is -1 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 304084545360?\nAnswer: 304084545360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 17*g**2 - g - 2. Let l be b(17). Let i = 15 + l. Let f(x) = -x**2 - 6*x - 2. Calculate f(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**3 - 7210*d**2 + 95275*d + 1018500 = 0. Calculate d.\nAnswer: -1455, -7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34180\/11 at most 3107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26443, -52886, -79329, -105772, -132215, -158658?\nAnswer: -185101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 5*n - n + 4*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p - 3*j, -3*p + 2*j + 6 = -5. Let n(v) = p*v + 3*v - 7*v. Let k(z) = z - z - 3020*z**2 + 3022*z**2. Determine k(n(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.6 - 27. Let f = -6 - m. Let p = 2.399974 - f. Round p to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 260461, 260539, 260617, 260695, 260773, 260851?\n\"Answer: 78*c + 260383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2690*i**3 - 1747*i**3 + 1077*i**3.\nAnswer: -3360*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 15 - 8 = 0. Let i be 3\/h*15\/20*4. Solve -3*o + 5 = 4*b, -5*o + b + i + 7 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15104 + 128749.\nAnswer: 113645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/205)\/(18*27\/(-1215)).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20 - ((-17)\/(-17) - -4). Solve t + l - 26 = -3*f, 3*f - 19 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - 14) + (15 - 24) + 11?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - 1b?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2736) + -5*sqrt(2736))*1 - (2 + 6*(sqrt(19) - (sqrt(152)\/sqrt(8)*-2 - sqrt(19) - sqrt(19)))))**2.\nAnswer: 312*sqrt(19) + 115600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/24*3 + -4. Let y = -29 - -43. What is the second biggest value in y, m, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by 1458.\nAnswer: 41\/1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*g - 15248 = 10806, -2*d - 3*g + 17369 = 0. List the prime factors of d.\nAnswer: 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.9335 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -16, -52, 7, 0 in descending order.\nAnswer: 7, 3, 0, -16, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3123 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 26*s + 2. Let c(h) = -h. Calculate n(c(l)).\nAnswer: -26*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 + -71.00000331. Round x to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-15) - (-93)\/5. Let z(c) = c**2 - 8*c + 5. Let m be z(8). Let t be (-48)\/(-10) - (-1)\/m. Solve -4 + k = t*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-75) + 0\/(-2 + 1). What is the fourth biggest value in -2\/7, r, 17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 3*q - 4. Let y be w(4). Solve y = -3*z - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 16, -3, -2\/11, -435, -2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 13*l = 15. Solve 0 + 10 = -x + 4*p, 2*x - l*p + 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58708957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 17*b + 31*b - 16*b = -1, 10*b + 49 = t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7751 rounded to one decimal place?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/4)\/c*c*c*(c\/(c*c**(2\/19)))\/c*(c\/c**0)\/c**1 assuming c is positive.\nAnswer: c**(-27\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a8a6 - 10b5?\nAnswer: 397b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/297452153 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/(-140) - 6*(-387)\/30. Suppose 0 = -2*t + 6, 0 = 4*r + 4*t - 420 - 76. What is the highest common divisor of r and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181586 = 6017*i + 160828 - 212730 - 169651 for i.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1901, 3757, 5581, 7373, 9133?\nAnswer: 10861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**2 - 6*x**2 - 9*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461 a factor of 404786121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114094 or -1.22?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4161410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let m = -18 - -12. Let x = -9 - m. Which is the closest to 1? (a) x (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i*i)\/(i\/(i**(-3\/4)*i))*(i\/(i\/i**(-3))*i*i)\/((i\/i**2)\/i))\/((i\/i**(-1))**48\/(i\/i**(-1)*i*i**1)) assuming i is positive.\nAnswer: i**(-367\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285329\/202*4\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3160604 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 19*d**2 - 8*d + 23. Let m be o(-10). Let m*l**3 - 28*l**2 + 55*l + 38*l - 45*l**2 - 23*l**2 = 0. Calculate l.\nAnswer: 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6930 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 1 + -4)*-4. Let u be w\/24 + (-10)\/(-3). Factor j**u + 1\/2*j + 0*j**3 - 1\/2*j**5 + 0 - j**2.\nAnswer: -j*(j - 1)**3*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/2)\/((-7335)\/32274)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-83)\/(-3)*(-738)\/3. Which is smaller: n or -6805?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-1*2\/(-4) + -19. Let x be (-4)\/f + (-27228)\/54. Let r be ((-2)\/(-4))\/((-3)\/x). Calculate the greatest common factor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/28338 and 19\/16993354.\nAnswer: 50980062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -5. Let u(q) = q**2 - 21*q + 4. Let z be u(0). Let y be z*o\/(-6)*(-175)\/(-10). Put 5, y, -3 in descending order.\nAnswer: y, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18715 divided by -14\nAnswer: -18715\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1364490, -1364492, -1364494, -1364496, -1364498, -1364500?\n\"Answer: -2*w - 1364488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (sqrt(567) + (sqrt(567) - (-2*sqrt(567) - sqrt(567)))*-5 - sqrt(567)) - sqrt(567)) + 3*(-1 + sqrt(567)))**2 + 4 + 5 + 3*sqrt(847).\nAnswer: -1209*sqrt(7) + 299961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 233*j**2 + 614*j**2 + 3*j - 374*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7292 + 7292. Let y(m) be the third derivative of -m**2 + j*m - 7\/8*m**4 + 0 + 3*m**3. Find the first derivative of y(i) wrt i.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-12) + 13143\/52. Let p = 2770\/11 - l. What is the common denominator of p and 0 + (-2 - 93\/(-2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522, 503, 426, 261, -22, -453, -1062?\nAnswer: -1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 1 - (-1 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c = -3*c + c + 211560. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1203330 - -10?\nAnswer: 1203340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26\/3 (b) -9 (c) -11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 take away 3.3276?\nAnswer: -1.7276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3*w**4 - 7)*(0*w + w - 6*w).\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Suppose n + 4*r = -8, 2*n + r + 44 = -m*r. Let c = -15 - n. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*t + 15, 0*t - 4 = -4*t. Which is the third biggest value? (a) w (b) -7\/3 (c) 5\/4 (d) -2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y - 180. What is z(49)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -28, 9, 48, 89, 132?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, p: 5, j: 1}. Give prob of sequence pp.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9741 = -278*i - 1957 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62952 and 328.\nAnswer: 2581032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in 1, 3\/5, -10, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (5 + (-17)\/((-119)\/(-42)))*(-935 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(25987 + 1281*f - 25987).\nAnswer: -1281*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16845*q + 0 + 0.\nAnswer: -16845*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 0.4, -655434.3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + q**2 - q + 8. Let c be r(0). Suppose 0 = -5*f + f + c. Solve 2*x = f*m, 5*m + 0 - 7 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 4*r**2 + 3*r. Let c be m(-3). Let d be (-48)\/(-2) - 0 - c. Suppose -6*t + 4*t = -d. Calculate the greatest common divisor of 60 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14071701 divided by -3.\nAnswer: -4690567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -810, -783, -754, -729, -714, -715?\n\"Answer: -r**3 + 7*r**2 + 13*r - 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b + 3*g = 39*b - 4, 3*g + 21 = -18*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**4 + 307976*d**3 - 718578*d**2 - 8*d + 410616 = 0. Calculate d.\nAnswer: -2\/3, 1, 2, 51327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2475071.4 seconds?\nAnswer: 41251.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 17*v**2 + 14*v - 18. Let m be j(-16). Let a be (-405)\/(-189) + (-2)\/m. Solve 0 = a*b - i - 12, 5*b + 1 = 3*i + 32 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/((-8)\/68))\/((32\/4)\/64). Solve -103*a = -35*a - j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 0 (c) -1\/3 (d) 0.071635\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10023.\nAnswer: 3, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40\/(-4128))\/((-160)\/256). What is the smallest value in h, 5, -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2623*v - 344. Let x(w) = -38*w - 5. Give -5*p(f) + 344*x(f).\nAnswer: 43*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 2*m - 15864 = -14*b, -5*b - 4*m = -19830. What are the prime factors of b?\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18275*p**2 + 1189*p - 18277*p**2 + 2748 - 268 wrt p?\nAnswer: -4*p + 1189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, l: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/5 - (-34)\/10. Let u be 3\/(-2)*(-18)\/(-27)*0. Suppose -l*s - 2*c + 510 = u, 3*s - 5*s + 243 = -3*c. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 482\/88983?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (sqrt(133) - -4*3*sqrt(133)) + sqrt(133)*-4*-1)\/(sqrt(343)*-2*-6 + -4*-2*sqrt(343)))**2.\nAnswer: 1539\/4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 45 = -5*x. Let v be (-6)\/x - 128\/(-6). Let z = -16 + v. Solve -i + 25 = -z*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnncnnnnnnnnnn. What is prob of sequence cn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386 = -5*h + 99. Suppose 5*w = 3*x - h, 3*x - 4*w = 56 + 39. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10979 * -1045\nAnswer: 11473055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djjjjjjjjjjjjjjjjjj. Give prob of picking 3 j and 1 d.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/((-85050)\/(-360)))\/((-2)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -123 and -3?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0.09, 0.2, -59, 5.86, 3 in ascending order.\nAnswer: -59, -2, 0.09, 0.2, 2, 3, 5.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 6. Let x = g - -5. Let i be (-2)\/(-4) + (-18)\/(-4). Solve i*a + 17 + x = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12 - (-4)\/(-48)*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525104474?\nAnswer: 2, 31, 8469427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 930 + -938. Let a(r) = 6*r**2 + 49*r + 13. Calculate a(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 + 3*a**2 + 9*a + 7. Is l(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0 + 0*k + k**2 + 0*k**3 - 1\/6*k**4. Let o(a) be the second derivative of -a**3\/3 + 2*a. Determine o(d(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -13. Let d be 58\/(-3)*(9\/g - 0). Suppose d = 4*h + 3*l - 81, -2*l + 112 = 4*h. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*c**2 + 2)*(651*c - 325*c + 64*c).\nAnswer: 1170*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 5. Let y be z(5). Suppose -9 = -46*k + 43*k. Solve 5*u - 20 = -4*g, 2*u + y*g = k*u + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194010415133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 5825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157749*t*x**3 + 75*t*x**2 - 5*x**3 + 11753*x**2 wrt x.\nAnswer: -946494*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 52*q + 564. Calculate p(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 54*n + 5*n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 - 24*n**3 - 18*n**2 + 24*n + 21.\nAnswer: -3*(n - 1)*(n + 1)**2*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**4\/5 - 5716*a**3\/5 - 2044896*a**2\/5 - 2039184*a\/5 = 0.\nAnswer: -714, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3567511?\nAnswer: 31, 157, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09705 + 161.74295. What is m rounded to 0 decimal places?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87887 - -164558. What are the prime factors of y?\nAnswer: 3, 7, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 20*x**2 + 370*x - 66. List the prime factors of h(-19).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (396\/(-231))\/((-4)\/42) + -7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7826 divided by -2?\nAnswer: -3913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 13) to base 10\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -119, -451, -1103, -2183, -3799, -6059, -9071?\nAnswer: -12943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8176 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 5 + 5 + (0 + 1 + 0)*(-1 + 2 - 2) + 13 - 1 + 0)*(20 - 20 + 4*s) to the form o*s + a and give o.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 2*u - 5. Calculate the lowest common multiple of 20 and y(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 915353 and 5?\nAnswer: 4576765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5818\/87 + 1949\/29. Factor 0 + c*x**2 + 2\/3*x - 1\/3*x**3.\nAnswer: -x*(x - 2)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840854063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8883757.\nAnswer: 41, 43, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -10.96. Let q = 3484.8 + -3485.1. What is the second biggest value in 0.3, o, -0.2, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5546*y**4 + 30*y**3 + 5*y**2 + 16*y + 10900 wrt y.\nAnswer: 66552*y**2 + 180*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3)*-2 + (-44)\/11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-19)*s)\/s*s**(-16)\/s assuming s is positive.\nAnswer: s**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 23*v - 3*v**3 + 54 - 54 + 9*v**2.\nAnswer: -3*v**3 + 11*v**2 + 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17232.31 millimeters in micrometers?\nAnswer: 17232310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 0, 9 in descending order.\nAnswer: 9, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 129943 and 0.5.\nAnswer: 64971.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -217.2 + 217. Let f = 56 + -53. What is the closest to f in m, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.027 - 0.027. Let a = h - 24. Sort -0.6, 2\/5, a in decreasing order.\nAnswer: a, 2\/5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 2447001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 166985481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-13)\/((j**(15\/7)\/j)\/j))\/(j**19\/j**(3\/8)) assuming j is positive.\nAnswer: j**(-1779\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2113402 (base 5) to base 13.\nAnswer: 131c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90508 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-12))\/((10\/45)\/(80\/(-15)))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -12*b + 8*b. What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**46\/(z\/(z\/(z*z\/((z\/z**(-39))\/z)*z)))*z*z**33\/z*z*z**(1\/27) assuming z is positive.\nAnswer: z**(3133\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**3 - 23*c**3 + 13*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 974847*o**5 + 2*o**2 - 35975*o - 2 wrt o.\nAnswer: 58490820*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*n - 195*n = 2*l + 12, 3*n + l - 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:24 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 250 - -d?\nAnswer: 25d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -0.3, 1170\/77 in ascending order.\nAnswer: -0.3, 0.02, 1170\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27774?\nAnswer: 2, 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 33. Let h be r(-21). Suppose 4*b = h*b - 25. Solve -b*m = -g + 24, -m + 0*m - g - 6 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2\/3 - 32980*c\/3 + 26106184\/3 = 0 for c.\nAnswer: 887, 7358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*i - 742*i = -430 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8189, -24814, -52525, -91322, -141205?\nAnswer: -202174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1089*h + 1 - 1402*h + 3275*h.\nAnswer: 784*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 22*k - 20. Let l(a) = -15. Determine 2*l(b) - z(b).\nAnswer: -22*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) + (-30)\/(-9). Let w(x) = 6 + 2*x - 3*x + u. Let f be w(5). Solve -3*t - 16 = 4*o, -5*t - f = -2*o + 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (sqrt(1100) + 0 - sqrt(1100))*5) + -4)**2 + (6*(sqrt(1100) + 1) - sqrt(1100) - (0 + sqrt(1100))*1)**2.\nAnswer: 400*sqrt(11) + 18752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 6*v**3 - 2*v**3 + (4*v**2 + 0*v**2 - 8*v**2)*(-4*v - v + 3*v).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453\/4 + (1\/4)\/(-1)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12457753 plus 0.06?\nAnswer: 12457753.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*u - 4*u - 3*u)*(-3 + 3 + 1) + 2*u + u - 5*u - 7*u - 5 + 5)*(16*u**2 - 24*u**2 - 34 + 29) as a*u + l*u**2 + p*u**3 + n and give p.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*w - w. Suppose -w*r + 17*r = -13. Let t = r + 22. What is the highest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 25 in descending order.\nAnswer: 25, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155 - -160. Solve -5*l = 13*f - 8*f + 15, f = -2*l - n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7958 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eak when three letters picked without replacement from {e: 1, z: 3, a: 1, q: 7, k: 1}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*-11.4\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*0.09663.\nAnswer: 0.0202923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {v: 2, o: 2, p: 1, t: 1, a: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-24)*(-8)\/(-18). Which is the nearest to m? (a) -2\/3 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - -41. What is the common denominator of (-1)\/2 - x\/(-10) and (-16 + -1)*(-2)\/18?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 + 2*u**2 + 4*u + 2. Let d be a(-2). What is the remainder when 5 is divided by (-6)\/(-1) - (17 + d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 84955 = -15*n. Suppose -d - k = 2*k - n, 0 = d + k - 16997. What is d rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -124. Suppose -8*k - g = -10*k. Suppose -k*w + 27 = 22. Which is bigger: 15\/7 or w?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 8*h - 9. Determine m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5977*o*z + 4793*o + 2 wrt z?\nAnswer: -5977*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.562 rounded to 1 dp?\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 5*p**8\/168 - p**6\/24 - 71*p**4\/24 - p**3\/2 + 243*p**2. What is the second derivative of o(y) wrt y?\nAnswer: 200*y**3 - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 9:20 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -9.6, -0.5, 0.4, 0.2, -57?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*g - 7, 3*g + 9 + 0 = 0. Solve s = 2*x - 13*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 298*t**2 - 608*t - 816. Calculate v(296).\nAnswer: -5552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133.99835 - 134. What is f rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -1.95?\nAnswer: -0.0975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 152407.1 and 0.22 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 441, 921, 1403, 1887, 2373?\n\"Answer: x**2 + 477*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - -2.1. Let s = -16.6 + 17. What is the smallest value in -3, q, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/13288 or -1?\nAnswer: 1\/13288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f + 6. Let a be r(2). What is the tens digit of (-15)\/(-12) + a\/(-24) - -98?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17915 and 43021081.\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 20. What is the smallest common multiple of b and (-533)\/(-52) - 3\/(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**3\/7 - 72382*r**2\/7 + 187133319*r - 5238574884\/7 = 0.\nAnswer: 4, 36189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3\/3 - 144800*j**2\/3 + 2460986*j\/3 + 868596 = 0.\nAnswer: -1, 18, 72383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7438136 to two decimal places.\nAnswer: -3.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 2. Let l be c(-2). Suppose -3*f - 5*n = 2, 4*n = -l*f + 8*f + 24. List the prime factors of 1 + -2 - (f + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -9. Suppose -59 + u = -t. Calculate the remainder when t is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u - 4*u. Let w be (15\/5)\/(3\/4). Let k be 42\/(-18) + w\/u. Let i(p) = p**3 + 3*p**2 - 2*p - 3. What is i(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174*p**3 - 260*p**2 - 2?\nAnswer: 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 13. Suppose 11*z - 177 = -100. Calculate v(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1379\/2082 - -3\/694. Which is the third smallest value? (a) 0.03 (b) 3 (c) 4\/9 (d) -1\/30 (e) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**3 + 45*c**2 - 33*c - 74. Let i(f) = f**3 + 22*f**2 - 16*f - 37. Let p(b) = 2*g(b) - 5*i(b). Is p(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/14)\/((-15)\/(-54)*6).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1006*b + 6358. Let l(f) = 355*f + 2119. Determine 6*c(w) - 17*l(w).\nAnswer: w + 2125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from zzhhhhh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.044, 4, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 108 + -89 - -33.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -c7b2?\nAnswer: -c7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2 + 23*v**2 - 27*v**2 + (6*v - 5*v + 7*v)*(v + 3*v - 3*v).\nAnswer: 4*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6036 and 51306?\nAnswer: 102612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v + 25*v**2 - 17*v.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.13 to zero decimal places.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -159d (base 15) to base 5.\nAnswer: -122043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*x + 6 = 5*x, 2*j + 5*x = 33 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f**3 - 16*f**2 + 22*f**3 - 45*f**3 + 16*f**2.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.4, -1\/48, -3.1, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 355995 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**34\/(v**(-20)\/v))**(1\/27) assuming v is positive.\nAnswer: v**(55\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 1)*(6 + 35 - 19)*(-2*x - x + x) + (0 + 1 + 1)*(2*x - 1 + 1) to r + y*x and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*(-4 - -6). Suppose -q - 4*v - 4 = -k, 5*v = -5*q + 30. Let u = q - 6. Solve -m + 4 = u*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, and 1 j when three letters picked without replacement from {l: 1, j: 3, y: 4, i: 1, s: 3, n: 6}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l + 2. Let d be c(-8). Let t = 10 + d. Let m = -10 - t. Solve 3*s - 3 = m*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r - 2 + 5*r + 2*r + 2*r**3 - 126*r**2 + 128*r**2. Let l(z) = -z**3 - 3*z**2 - 3*z + 3. Give 3*g(j) + 2*l(j).\nAnswer: 4*j**3 + 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269148539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 130*g + 4016. Give l(53).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -29, 1, 0 in decreasing order.\nAnswer: 8, 1, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 37. Let v = i + 17. Let h = -43 + v. Calculate the greatest common divisor of h and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12428 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - -58) + -10 + 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 5) + 9 + (-19 - -1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 32 = 4*c, 32*q - 37*q + 16*q + 5*c - 6 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -104440533 (base 6) to base 13\nAnswer: -51809a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(612) + 3 - (5*(sqrt(17) + -1) - (0 + sqrt(17) + -4))**2.\nAnswer: -270 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5832440 divided by -1166488?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 412*p**2 + 3 + 10*p**2 as x*p + q*p**2 + u and give q.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 2 = -29*b + 107 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + m**3 - 2*m**3)*(-18*m + 5*m - 4*m)*(-10 + 4 + 3).\nAnswer: -51*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -640 or -3?\nAnswer: -640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33 + -100?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2 + 0 - 1)*(33*u - 5*u + 17*u)*(0 + 3 - 1).\nAnswer: 270*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*-2*9\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 72*d**3 + 3*d**2 - 8*d + 4546. Let x(r) = -70*r**3 - 4*r**2 + 12*r - 4544. Let z(o) = 3*b(o) + 2*x(o). Find the first derivative of z(g) wrt g.\nAnswer: 228*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 19 = -3*d - 0*s, 5*d - 4*s + 43 = 0. Let t(j) = 4*j**3 - 6*j**2 + 7*j - 12. Let z(k) = -k**3 + 1. Let o(u) = -t(u) - 5*z(u). Give o(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*c + 2 = -2, 5*c = 0. Suppose g - k = 0, 2*s - g - 4*g + 4 = 0. Let a = s + 1. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*k - w, -5*k - 4*w = 9 - 49. What is the highest common factor of k and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/6346 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -809*x + 261*x + 276*x + 270*x. Let t(a) = -a**2 - 36*a. Calculate f(t(o)).\nAnswer: 2*o**2 + 72*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 584663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380 and 31640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1318.2 and -47.\nAnswer: 61955.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50049914119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 1118*r**2\/7 + 7752*r\/7 - 13248\/7.\nAnswer: 2*(r - 552)*(r - 4)*(r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.2, -3\/17, -0.21, 0 in descending order.\nAnswer: 0.2, 0, -3\/17, -0.21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 bigger than 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.3 (b) 16 (c) -9\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - 51. What is s(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 808 and 251788.\nAnswer: 50861176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 48. Let b = l + -11. Suppose -i - 26 = -3*t - 5*i, -24 = -2*t - 4*i. Solve 0*x = -5*q + x - b, t*x + 4 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/8)\/(7\/84). Suppose -t*j - 6*j = -3156. List the prime factors of j.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6171116 or 6170884?\nAnswer: 6170884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 102*-3)\/1. Suppose r + 16320 = 3*k + 6*r, -3*k = -4*r - 16347. Let f = k + v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.1*31333\nAnswer: -253797.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11248146 + 11248146 + 5*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.7635 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 1120 = 1080. Calculate the lowest common multiple of 330 and i.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m. Let w(n) = -2*n + 6. Let t be w(2). Let f(p) = 21*p**t - 9*p**2 - 5*p**2 - 5*p**2. What is f(a(u))?\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83805 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*p**2 + 5*p**2 + 8*p**2 + (-2*p + 5*p - 4*p)*(2*p + 3 - 3) - 2*p**2 + 0*p**2 + 0*p**2 + (-5*p + p + 3*p)*(3*p + p - 3*p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(14\/(-10) - -1). Let o = -251 - -255. What is the third smallest value in -3, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*v + 55 - 107 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*f + 0 + 0 - 3*f**4 - f**2 + 501*f**3 - 499*f**3 in the form q*f**2 + h*f + n*f**3 + o*f**4 + p and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2\/(0 + 2). Which is greater: o or -9\/35?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.07 - 33182\nAnswer: -33180.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 251 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 3 (c) -0.1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1 + 0 = -3*h, 0 = -h - o - 1. Let n = -2.33 + 2.6. Let k = -0.2 + n. Which is the nearest to -2\/9? (a) k (b) h (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 4) + -6 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -22*b**2 + 5*b + 3. Let u(x) = -20*x**2 + 4*x + 3. Give -4*u(i) + 3*v(i).\nAnswer: 14*i**2 - i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*k*l*t*y - 549*k*l*y - 2*k*t*y + k*t - 24*k + l*t*y - 23*t - 8*y wrt l?\nAnswer: -10*k*t*y - 549*k*y + t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 14) to base 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -7*d - 6*d. Let o = d - -172. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {z: 1, l: 2, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -47.8. Let a = y + 24.19865. Round a to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6050, -6048, -6046?\n\"Answer: 2*f - 6052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5358595.41 minutes to weeks.\nAnswer: 531.6066875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5195 - -15584\/3. Let v = -91\/396 - 2\/99. Which is the closest to u? (a) v (b) 1 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -91395737.8 to the nearest one thousand.\nAnswer: -91396000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -859514.139 rounded to the nearest one thousand?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10927637 - -0.04?\nAnswer: -10927636.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, h: 2}. What is prob of sequence hh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/60 - m**4\/12 - 19*m**3\/6 - 5*m**2 + 142*m. Determine y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12269349?\nAnswer: 3, 29, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 12 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**3 + 4*l - l - 3*l - 2*l to the form k*l**3 + z*l + o*l**2 + v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 - 7*c**2 + 19*c**2 in the form a*c**2 + l*c + u and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - -0.05. Let l = y + -0.4. Let p be 3 + -1 - (-2)\/(-4). What is the closest to 0.1 in 1, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 34. Suppose 5*p - 5*j = -j + 3700, 2*p - 1480 = -t*j. Does 2 divide (-2)\/9 - p\/(-90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2 + 80*b + 782. Give n(-12).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddduddduuddd. What is prob of picking 1 d and 2 u?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 38999 (base 13) in base 16?\nAnswer: 199ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -24\/57514391?\nAnswer: -24\/57514391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -280*i + 16. Let f(k) = -264*k + 15. Determine 6*a(q) - 8*f(q).\nAnswer: 432*q - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 504 - 486. Let h be (-29)\/(-2) + z\/(-36). Let c(f) = -f**3 - 5*f**2 + 5*f - 3. Let y be c(-6). Solve 2*j + 3*g = -g - h, -y*j - 3*g = 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from qqtqwquqqqqtwttqqlmt?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (57 + -23) - (8 - 2 - 2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 379*w + 12142. Let n = 83 - 40. What is the remainder when n is divided by s(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0095 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 472\/3776*4*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l + 172. Calculate the remainder when l is divided by 26\/(6\/3) - -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-24))\/(((-4)\/6)\/(368\/(-8)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 37. Suppose -3*d + 6*d + m - 28 = 0, -u = d - 3*m. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1472879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-12) - 2\/(-3). Let c = -150.05 - -154. Let p = -0.05 - c. What is the nearest to 0.1 in m, 3\/2, p?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 30 = 46. Suppose -i - u*m = -23, 0*m - 31 = -i - 2*m. Calculate the remainder when i is divided by 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200791 (base 10) in base 14?\nAnswer: 14d76bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100011 (base 2) in base 10?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 961272 and 2808?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -677.8514?\nAnswer: 12201.3252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 15. Let w = 8 - s. Let j = -1.3 + 1. Which is the third biggest value? (a) w (b) j (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195 by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 50*d - 11. Suppose 0 = -2*j + 2 + 14. Is a(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) + (-4)\/3. Let v = 0.8 - 0.3. What is the second biggest value in v, 4, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69742949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4185, 4155, 4067, 3891, 3597?\n\"Answer: -5*u**3 + u**2 + 2*u + 4187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11962 - 59622\/5. Let v = -559\/15 + h. Factor 1\/3*f**2 + 0*f - v.\nAnswer: (f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1605*m - 3204*m + 1598*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*0.10348001.\nAnswer: -1.0348001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/42217 and 3\/549962.\nAnswer: 20348594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 7. Suppose -25 = 3*t - 5*r, 8 = -4*t - 3*r - 6. Give h(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 723\/9290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2640 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26245\/14322 + 2\/2387. Let n(m) be the third derivative of 0 + 0*m - 1\/8*m**4 - 3*m**2 - i*m**3. Let h(q) = -q - 4. Give 8*h(c) - 3*n(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3379*d = 3416*d - 518 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531 (base 13) to base 15.\nAnswer: 3e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12854.9 - 12855. Which is the fourth smallest value? (a) w (b) -1.8 (c) 2 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3970 = 1389*y + 19249 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 70*d - 366 + 298 = 0. Which is greater: d or 91\/361?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1268605 and 214687.\nAnswer: 13954655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 14*z = -176. Calculate the remainder when 56 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(6\/(-8) - 11\/12). Suppose 7*p - t*q = 5*p - 10, -4*p = 5*q - 10. Solve -27 = -4*z + 5*d, 3 + p = -4*z - 5*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -9. Factor -15 - p**3 + 20 + 7*p**v + 4*p - 15*p.\nAnswer: -(p - 5)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2466 (base 10) to base 13\nAnswer: -1179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 833 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7999 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/3 - 234*n + 13699\/3 = 0. What is n?\nAnswer: -721, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1701 + 78?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 3. Solve -4*a + 19 = 3*f - 0, a - u*f + 19 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59803*k**5*l + 49*k**2*l - k*l + 20177211*k - l wrt k.\nAnswer: -1196060*k**3*l + 98*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 714*c. Let z(p) = -78117*p. Determine z(x(m)).\nAnswer: -55775538*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 8:54 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179901, -179903, -179905, -179907, -179909?\nAnswer: -179911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.7604+1.6\nAnswer: 2.3604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*20*323\/1292.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2419323 divided by -3.\nAnswer: 806441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 10 = 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20350 + 15414?\nAnswer: 40204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -2888\/481?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxegeeeeoegegex. What is prob of picking 1 g and 2 x?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*u**2 - 4 + 3 + 42*u**2 to n*u + o + g*u**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 130, 461, 1022, 1819, 2858, 4145, 5686?\n\"Answer: f**3 + 109*f**2 - 3*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.76041 + 5.73. Round p to 3 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -5. Let p be (20\/u)\/((-1)\/(-12)*4). What is m in m**2 - 3*m**4 + 6*m**4 - 11*m**5 + 9*m**3 + 2*m**p - 4*m**2 = 0?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9668703cm to meters.\nAnswer: 0.009668703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 27501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 0 + 0 + 6. Suppose -2*j - 16 = j + 5*b, -12 = r*j + 3*b. Which is smaller: -13 or j?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 46*d**2 - 342*d + 268. Determine n(37).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 6*c**4 + 3*c**4 + c**3 + 16*c**4 - 3*c**2 - 26 as k + b*c**3 + l*c + g*c**4 + x*c**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13945 (base 16) in base 2?\nAnswer: -10011100101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.68 + -1.6. Let o = g + -0.58. Let n be ((-1)\/3)\/((-1)\/(-1)). Which is the third smallest value? (a) -0.3 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 2*s. Let z be q(4). Suppose -115 = 4*w + 13. Calculate the smallest common multiple of (-62)\/z - 8\/w and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -24*u**2 - 8*u. Let y(g) = -2*g + 58. What is y(j(s))?\nAnswer: 48*s**2 + 16*s + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7582, 15285, 22988, 30691, 38394?\nAnswer: 46097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.071, -2, 171, 1, -0.1, 0.4, -10\/59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**3 - 23*m**2 + 10*m + 2. Let v(y) = -y**3 + 4*y**2 - y. Let c(h) = -o(h) - 6*v(h). Suppose 15 = -5*s - k, 2*s + k + 0*k = -6. What is c(s)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46769718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 3*r + 1. Let h be x(-2). Suppose h*b - u - u - 15 = 0, 4*u = -b - 9. Solve b*w - 1 + 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (30 - (-10 + 27)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 4. Let w = 1.1 + y. Which is greater: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12680 is divided by 200?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44582933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669528993 - 306.79?\nAnswer: 2669528686.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 0 - (-2408 - -2309)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s - 3*m - 64 = 212, -3*s + 6*s = 4*m + 33 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 418*q - 3532. Let k be p(10). What is the greatest common factor of 984 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 9*w - 14. Let t be m(8). Let d(s) = -14*s + 20. What is the hundreds digit of d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035 times -0.1354?\nAnswer: -0.004739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t = -580. Let n = t + -78. What are the prime factors of n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 2:48 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - 4*l + l + (1 + 2 - 1)*(-3*l + 3*l - 3*l).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:00 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/((-87)\/435)*-16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*h + 69*h - 8*h + 15 = 0, 0 = -4*s - 26*h - 138 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from rrzncczzzldn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9702093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -45410 (b) 0.5 (c) 1 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 - 141. Sort -5, 5\/42, g in decreasing order.\nAnswer: 5\/42, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 3. Let c(g) = g**3 - 7*g**2 + 7*g - 7. Let f be c(o). Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - 11)\/5 - (-21)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-25)\/2))\/(66\/5940).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 5*f + 2. Suppose 17*j - 36 = 23*j. Let n be x(j). Is 23061\/12 - 6\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 6. Let v(z) = -6*z + 17. Suppose 2*g + 4 = -0. Let d = -2 + g. What is d*v(j) - 11*t(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + (-3 - -3) + -3. Let f be (-2)\/(-5) - 26\/q. Suppose f*t + 46 = u + 4*u, 2*t = u - 5. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/16 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/(-18))\/(1\/12). Calculate the greatest common factor of l and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccyncyncic. Give prob of picking 2 c and 1 n.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 483 + -475. Suppose 2*z = 2*j - 6, 4*j + 20 = c*j. Let l(v) = 9*v**3 - 1. Let d(o) be the first derivative of o**4 - o + 1. Give z*l(h) - 5*d(h).\nAnswer: -2*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112026 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(720)*-2 + -1 + 4 + 1 + sqrt(720))**2 + 0 - -6*4*(1 + (sqrt(720) + -1)**2))*1.\nAnswer: -2688*sqrt(5) + 72256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/1)\/((-200)\/(-20)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150200780 a multiple of 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 18*s - 27. What is the second derivative of -2*t**2 + 4*t**2 - 1397*t**3 + 1415*t**3 + t**s + 57*t wrt t?\nAnswer: 108*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l. Let u be y(-3). Let v = -3 - u. Suppose -s + 4 = -v. What is the greatest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -61236116?\nAnswer: -61236124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 + 123. What is the remainder when 32 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -30. Let g(q) = 3*q - q + x*q - 3*q. Let m(f) = -33*f**2. What is m(g(i))?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 3. Suppose d*c - 358 = 406. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -702*m + 6453. Let v be p(9). Solve -v*z + 95*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.264 - 4.743. Round i to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 44 = p. What is the remainder when 65 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(4278\/84 + -4 - (-2 + (-68)\/(-28)))?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 5:26 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -846*v = -817*v - 413946. List the prime factors of v.\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2. Suppose -6 - 44 = 5*k. Let r = k - -14. Let m(i) = -4 + r + i. What is m(f(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i - 94. Let r be f(-17). Suppose 4 = 6*t - r. Which is smaller: t or 15\/8?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48*h + 505?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141458787 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 divided by 892552?\nAnswer: 687\/892552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -12582.\nAnswer: 62910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778950.\nAnswer: 2, 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (53*d + 105*d - 65*d)*(61 - 61 + 15*d**3) as o + j*d + u*d**3 + z*d**4 + s*d**2 and give z.\nAnswer: 1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 11*t**2 - 9. Is g(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 290\/81*408\/680 and 6\/(-15) - 436\/(-90)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, 6, -23, -22, 0 in descending order.\nAnswer: 6, 0, -5\/7, -22, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a + 38. Let c be y(12). Let p be (3\/6)\/(c\/12). Solve -l - p = 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1340, 5061, 11262, 19943, 31104?\nAnswer: 44745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10324 (base 6) in base 16?\nAnswer: -58c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -309 + 316. Suppose u*b - 273 = 2*b - 3*s, -5*s = -4*b + 211. Calculate the remainder when b is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = -0*f + f, f - 5*r = 30. Let a be 336\/3*f\/4. Suppose 18*y - a = 14*y. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 850 and 5610?\nAnswer: 28050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2170106 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112211 (base 3) in base 9?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqdqqddjjqqqqq. Give prob of picking 2 q.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*u - 6 = 0, 5*x + 3*u - 8*u - 5 = 0. Let n = -11\/3 + x. Which is the nearest to 0.2? (a) 2 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y. Let a(j) be the third derivative of -j**5\/4 + 3*j**2 + 36. Give h(a(z)).\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 132*i**2 + 132*i**2)*(-3 - 5 - 6).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*t - 5 = 1, 0 = -y - 4*t + 3. Let d = -755 + 759. Solve d*i = y*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.452 less than -2006287.7764?\nAnswer: -2006285.3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 7*l**2 - 2*l - 4. Let a be i(-6). Let k = 49 - a. Solve -k*f - 28 = -0*s + 3*s, -5*f = -s + 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (5 - 8 - (-5 - (-5 - 29)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20614 is divided by 245.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4917\/(-6556)*472\/(-858) - (-4)\/(-22)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 + -86. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.5252325 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1516117 + -71?\nAnswer: -1516210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.47 + 0.38. Let y = k + 0.15. Which is the third biggest value? (a) y (b) -3\/7 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ece when three letters picked without replacement from {e: 2, c: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.3, 52\/7, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 1, j: 1}. What is prob of sequence yy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*h, 5*w + 2*h - 57 = 73. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -295 + 300. Let a be 1*(g + -2) - -2. Solve -7 = 2*u - a*f + 3, 4*f - 8 = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - s = -38, 0 = -5*c + 3*s + 3 - 47. Let q be (-4)\/(-4) - 1*50\/2. Let u = -22 - q. Put 3, u, c in ascending order.\nAnswer: c, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i = 44*i - 5*p - 145, -469*i + 3 = -468*i - 3*p for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 15 - 10)*(0*x - x - 3*x) as z*x + y and give z.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Let x = -10 + l. Let i = -7 - x. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**2\/2 - 3. Let i(x) = 89*x**2. Calculate i(j(s)).\nAnswer: 89*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2554, -6967, -15110, -28849, -50050, -80579?\n\"Answer: -311*c**3 + c**2 - 2239*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76827912*c**2*m**2 + 48575*c**2*m + 20*c*m + m**2 - 12 wrt m.\nAnswer: 153655824*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*k**4 + 23*k**4 + 15*k**2 + 1 + 7*k**2 wrt k?\nAnswer: 1248*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/2 + 17 - -1)*(-6)\/(-42). Sort 28, n, -1, -7 in ascending order.\nAnswer: -7, -1, n, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -678*f**2*t**3 - 27*f**2*t - 4*f**2 + 7547*f + 1 wrt t?\nAnswer: -2034*f**2*t**2 - 27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -27, -0.5, -2\/3, -3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - 3) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392 (base 15) to base 13.\nAnswer: 4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, -1, -200\/9, 0.066 in decreasing order.\nAnswer: 3, 0.5, 0.066, -1, -200\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/9 - 21919907*i**2\/9 + i\/9 + 21919907\/9 = 0 for i.\nAnswer: -21919907, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*g + f, f = -1 - 3. Suppose g*r + 4*o - 2*o = -8, -4*r + 5*o = -20. Let p be 1 + (-5)\/(-5)*1. Solve p*d + r*d - 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4*q + 53 = 0, -g + 19*q - 50 = -g - 3*g + q - 35 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -20 + (-6 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15712 - 7787. What are the prime factors of p?\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 - 137 = -4*m, -3*q + 58*m = -411 + 66 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651 = -18*c - 75*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 9*p + 261 = -6*p, 2*t = -5*p + 527. Suppose 9*c = 3*g + 6*c - t, -3*g = 5*c - 276. Which is greater: g or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 576153644?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77365316 rounded to the nearest 100000?\nAnswer: 77400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*z**2 - 2)*(3 + z - 3) + 9*z**3 - 6*z**2 + 6*z**2 + (-6 + 6 + 4*z)*(-5*z**2 + 15*z**2 - 18 - 9*z**2).\nAnswer: 15*z**3 - 72*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 - 42550*z**2 + 42550*z**2 - 184*z**4 + (-1 - 2 + 5)*(-z**4 + 8*z**4 - 3*z**4) to n*z**3 + d + q*z**2 + w*z + y*z**4 and give y.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2180 and 25?\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 8*q + 236 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + b = 12, f - 2*f = 4*b + 9. Solve -5 = g, -3*t - f*g - 5 = 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 24 = -i, 0 = 4*i + 5*c - 74 + 22. Let z be (-2)\/i - 26\/(-8). Is 2 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/90 and 89\/509634.\nAnswer: 2548170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 - -80. Sort 0, 12, w in descending order.\nAnswer: 12, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 26. Put -0.1, -3, p, -1 in decreasing order.\nAnswer: -0.1, -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88447 is divided by 273.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -7*r**5\/3 - 41*r**4\/8 - 10*r**2 + 9. What is the second derivative of v(y) wrt y?\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((169\/(-507))\/(1\/(-15)))\/((-215)\/86)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145\/8 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*n - 15643 - 32287 + 14092 - 10162 = 0 for n.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 3*p + 1. Let y be f(3). Let t = y - 0. Does 6 divide ((-30)\/(-4))\/(t\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -1169. List the prime factors of p.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = -0*g. Let o(h) = 14*h**2 - h - 1. Is o(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-52) - (-2100)\/(-39). Let y = -36 - r. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2, -5\/4, -1212, 4, 3 in decreasing order.\nAnswer: 4, 3, 2, 0, -5\/4, -3, -1212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2619 and -173\/359478.\nAnswer: 34869366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2045, -4126, -6249, -8414, -10621, -12870?\n\"Answer: -21*l**2 - 2018*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5773060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {x: 1, p: 1, f: 2, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {d: 1, e: 5, h: 7, a: 2, m: 3}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 15. Suppose -3*t = -2*t - 2. Which is bigger: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - l**2 - l - 4. Let g be n(-3). Let y = -30 - g. Let x = -75 + 93. What is the remainder when y is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188)\/(-141)*9\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 383200943?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 + 26*x + 15. Let b be v(10). Let f be (0 - -2)\/6 - 3525\/b. What is the highest common factor of 24 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -38*a**2. Let h be 1\/5*-1 - (-217)\/35. Let o(k) = -10*k**2 + h*k**2 + 2*k**2. Determine d(o(j)).\nAnswer: -152*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i + 4*i + 0*i)*(-i + i + i) + 5*i**2 - i**2 - 2*i**2)*(3*i**3 + 0*i**3 - 6*i**3).\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/10*-10 - 1*-1. Suppose p*y - 32 = 109. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002919 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 108*b**2 + 2*b + 1. Let j(d) = 322*d**2 + 7*d + 4. What is -2*j(h) + 7*o(h)?\nAnswer: 112*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -909 - -911. Solve i*w - 2 = q - 3*q, 3*q - 4 = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-17)*n)\/(n*n**(1\/6)*n*n)*(n**(1\/2))**(-8\/5) assuming n is positive.\nAnswer: n**(-599\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22769*u*v**2 + 56*u - 2*v**2 + v - 3877 wrt v?\nAnswer: -45538*u*v - 4*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455\/13 not equal to 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 + 5 = -43*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 42\/((-42)\/7))*-37. What is the highest common divisor of i and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259242 divided by 8.\nAnswer: 129621\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owycwow. Give prob of picking 1 c and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 33*u - 4*u**3 - 37*u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:20 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2 - 11*c + 12*c - c**2 - 9*c. Suppose -2*z - 19 + 5 = 0. Let q be s(z). Solve -4*f - f - 3*n = 0, 2*f + q*n - 19 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 24. Suppose 0 = -2*z - 8 - k. Let u(t) = t**2 + 8*t - 2. List the prime factors of u(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15955 - -15708. What is the smallest value in -6, 4, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - v + 151 - 166 + 99*v**2. Is w(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 598131*o**2 + 266022*o?\nAnswer: 1196262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*l**3 - 240*l**2 - 432*l - 256.\nAnswer: -4*(l + 2)**2*(11*l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 126 = -2*i. Suppose -2*r = -5*r + i. Let z(c) = -2*c**3 + c**2 + 29*c - 44. Let u be z(2). Sort u, -2, r.\nAnswer: -2, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-46)*d*d)\/(d\/((d*d\/(d**(-12\/11)*d)*d)\/d*d)) assuming d is positive.\nAnswer: d**(-450\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {r: 3, k: 3, y: 1, q: 1, u: 1, c: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71000 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4306800 divided by -58200\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 313*m**2 + 1392 + 714*m**2 + 230*m**2 - 262*m**2 wrt m?\nAnswer: 1990*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 38\/7, -67, -0.045?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19121*z**2 + 19116*z**2 + 481653770 - 481653770.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 415 = 4*w. Let d = 83 + w. Solve -3*k + 0*k + 12 = d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -18\/11 + 2\/11*a**3 + 18\/11*a**2 - 2\/11*a = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 + 48*n + 71. Determine u(-8).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -1 - 4. Let c = -49 - -46. Let z be ((-40)\/24)\/(s\/c). Let j(m) = m**3 - 4*m**2 - 5*m - 2. What is j(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a**2 - 36*a**2 - 51*a**2 + 218*a**2 - 56*a**2 + 8840 - 8840.\nAnswer: 37*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 16 - 64 = 0. Suppose 0 = 60*s - 62*s + l. What is the greatest common factor of s and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/3, 2\/11, -2\/7, 64.\nAnswer: -2\/7, 2\/11, 1\/3, 1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14189*802\nAnswer: 11379578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -761356, -761353, -761350, -761347, -761344, -761341?\nAnswer: -761338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**3 - 99*l**2 - 4*l - 126. What is t(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 18.4 (b) 316\/139 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-35))\/((-70)\/(-1470)). Solve -5*h - j - 17 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 - 134. Let c be (2*5\/i)\/((-4)\/6). Let s(r) = -1. Let k(q) = q + 1. What is c*k(u) - 3*s(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/10 and -92\/4005.\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g = 23*g - 147. Let m = -9 - g. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0, 3, -1, -58, 1.15, -2\/7 in descending order.\nAnswer: 3, 1.15, 1\/6, 0, -2\/7, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, l: 3, p: 2, m: 7, e: 3}. What is prob of sequence xl?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -14, -0.4, 0.077?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 3 + -1)*172038\/106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 208*s + 15?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 16 = -o - 17, 5*z = 15. Calculate the remainder when 7128 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556642 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:06 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 2*q**3\/3 + 107. Let s(t) be the second derivative of 4*t**4\/3 - 6*t - 1. Determine s(i(v)).\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/6? (a) 0.06 (b) 3\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y + 0 + 0)*(5 + y - 5) - 2*y + 14*y**2 + 2*y + (y + 2*y - 2*y)*(-2*y + 4*y - 4*y) + y - y**2 - y - 2*y**2 - 2 + 2)*(-8*y - 8*y + 5*y).\nAnswer: -88*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -586, -1167, -1748, -2329, -2910?\nAnswer: -3491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00177804 to 5 decimal places.\nAnswer: -0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 4. Let o(k) = 20*k**2 + c*k**2 - 6*k**2. What is o(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.9963 - 0.9963. Put -0.3, 5, 122, n in increasing order.\nAnswer: -0.3, 5, n, 122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621531 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: Is 9101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29\/6 - 25\/6. Let d = -754.2 - -754. Which is the closest to d? (a) n (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51418 - -125501. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1022482463 to the nearest integer?\nAnswer: 31976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -55*1*(-4)\/10. Let q be 84\/i + 8\/44. List the prime factors of 1 + -15*q\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42940 divided by 10?\nAnswer: 4294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*u + 20 = -49*u. Solve -3*t = -i - 2*t, -3 = u*i - 3*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5*a = -3, -5*a + 68977 = 3*x + 68969 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 2)**2 - 2*1*sqrt(17)) + (sqrt(17) - (-2*sqrt(612))**2)*-3.\nAnswer: 7*sqrt(17) + 7501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3350736331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -268 + 2946\/11. Let w = -460.2 + 460. What is the smallest value in w, k, 44?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 295 or 89?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - 7*b - 3*b to w + o*b and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 741 divide 708404892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3474785832 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -300546\nAnswer: 1\/150273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 289, 581, 873, 1165, 1457?\n\"Answer: 292*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g + 2*g)*(-249 - 810 - 36).\nAnswer: -3285*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -2*c + 19. What are the prime factors of c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 80682\nAnswer: -80682.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 a factor of 56410921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -222310214014?\nAnswer: 222310214011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + 2 + -15 + -3 + 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*a + 196, 3*a + 6*y - 104 = 8*y - 4*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c. Let d(t) be the third derivative of -7*t**4\/24 - 10*t**2. Calculate d(p(y)).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -4 + 1 + 4. Suppose 0*h = s*h - 184. Suppose -2*t - 26 = h. Round t to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 73303 or 73325?\nAnswer: 73325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23944 is divided by 180.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 3*t**2 + 2*t**2 + (-1 + t + 1)*(-2*t - 5 + 5 + 0 + 0 - t - 1 + 2*t + 1 + (-2 + 2 + 2)*(0*t - 5*t + 3*t) - 4*t + 0*t + 5*t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14*k + 54. Let g(l) = -2*l + 6. Let d(b) = 9*g(b) - n(b). Let u(w) = -4*w - 5. Let m(j) = -6*j - 8. Let r(c) = -5*m(c) + 8*u(c). Give d(r(i)).\nAnswer: 64*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3 = -18. Suppose -4*d + f = -11. Suppose -6*y + 4*y - r + 22 = 0, -r = 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: What is 5b6117 (base 12) in base 9?\nAnswer: 2710001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5 or -53?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -32.38627 times 135\nAnswer: -4372.14645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 6*n - 4*n)*(318*n**3 + 114*n**3 - 237*n**3) to the form p*n**4 + q*n**3 + k + f*n**2 + s*n and give p.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 30*u + 6. What is the hundreds digit of b(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 183*m**4 + 48*m**2 + 6 - 2 + 6*m**3 - 34*m**2 - 11*m**2 as x + o*m + j*m**4 + p*m**3 + v*m**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Let v be (1 - 1)\/(-2 + 0). Let d = -67 - -65. What is the smallest value in v, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8019811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 31213\/1731?\nAnswer: 31213\/1731","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3032, -4, 3 in decreasing order.\nAnswer: 3032, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 75480.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, 5, 90, -2, 3, -29?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9 - 286\/(-6). Suppose -3*y + 5*z + 36 = -y, 4*y - u = -2*z. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by -165.\nAnswer: 61\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1013905 and 1013934 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -56*j + 15*j + 1 + 4. Let r be k(-6). Suppose 6*n - n + 3*x - r = 0, 0 = 2*n - x - 107. What is the highest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12585.\nAnswer: 3, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2622 divided by -437\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 less than 128.122019?\nAnswer: 272.122019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71880 or -1\/18?\nAnswer: -71880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5 - 96*o**2 + 11*o**3 - 101*o**3 - 39*o**4 - 4 + 3*o**5 - 9*o**5 - 48*o = 0.\nAnswer: -3, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/15 - 33\/(-5). Suppose 0 = 4*r + t - i, 3*t - 6 + 19 = 5*r. Solve w + w = r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641 (base 7) to base 12.\nAnswer: 22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 395, 509, 697, 959, 1295?\n\"Answer: 37*f**2 + 3*f + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/49? (a) 2 (b) -2\/5 (c) -2\/55 (d) 1\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -378d?\nAnswer: -378b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + -34 - (-54 + 47).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-2 - -1*14. Let q = 98 - -34. What is the highest common factor of s and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -490 + 112. Put 1, 0, u in decreasing order.\nAnswer: 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6610.3169 + 6610. Round k to 2 dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2769200 and 4300?\nAnswer: 2769200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 307626, 307748, 307870, 307992?\nAnswer: 308114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + 25\/30. Which is the nearest to -0.1? (a) 5 (b) x (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248005 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1.8. What is the biggest value in -1, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 9) to base 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from tegyygtytejggrg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 3*i**2 + 2*i + 2. Let r(s) be the first derivative of s**3\/3 + 17*s**2\/2 + 13*s + 19. Let w be r(-16). Calculate h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*s = 11, 3*w - s = 5 + 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-644)\/(-759) + (-2)\/3 - (-54)\/(-72270)*225.\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -13*m**2 + 13*m + 4. Suppose -3*p + p + 4 = 0. Let g(s) = -4*s**2 + 4*s + 1. Give p*w(j) - 7*g(j).\nAnswer: 2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 212, 802, 1774, 3128, 4864, 6982, 9482?\n\"Answer: 191*g**2 + 17*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 3, 0.03771, -0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 14 = 13*l. Let n(f) = -2*f**2 + 3*f. What is n(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*h = 11 + 4, h = 4*s + 5. Let q = 5 + -1. Let l be 4\/5*(-10)\/q. Put 5, l, s in increasing order.\nAnswer: l, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = 3*b + 16, -m + 5 = 0. Let q(r) = 20147*r**2 - r. Let t be q(b). Suppose -2181320 + t = -2*v. Round v to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2. Let p(k) = -30*k - 14. Give p(v(h)).\nAnswer: 150*h**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 622*m**2 - 454*m**2 + 2177*m**2 in the form c*m + o*m**2 + u and give o.\nAnswer: 2345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((-840)\/(-108))\/10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -490 + 3911\/8. Let s = k - -13\/8. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 1113*u - 1113*u - 5*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*b - 44. Suppose -15 = -2*l - 5*u, l + 5*u + 60 = 4*l. Let y = b + l. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 13\/(2 - (-42)\/(-24))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -47919, -48608, -49297, -49986, -50675, -51364?\n\"Answer: -689*h - 47230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 44.978. Let u = w - -0.192. Let d = u - 0.465. Round d to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -232*x - 2108. What are the prime factors of y(-47)?\nAnswer: 2, 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5256047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 60 = 3*s. Suppose -h + 96 = s. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3010\/(-2408)*236\/5.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47596 plus -59?\nAnswer: -47655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v - 3. Let q(s) be the third derivative of -7*s**4\/24 - 2*s**3\/3 + 32*s**2. Determine 5*c(w) - 6*q(w).\nAnswer: 2*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.4 and 18175.\nAnswer: 170845","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 9970 + -10093. Let f be ((-6)\/(-4))\/((-18)\/(-8)). Which is greater: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -9 - 23. Let y = -4 + p. Suppose -3*v - 2*j = -j, v + 13 = y*j. Are -1\/2 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -329 - 255. Let g = t + 1543. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 9*u**2 - 9*u - 2. Determine s(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 (base 14) in base 11?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 - 2364*v**3 + 11757*v**2 - 9396*v = 0. What is v?\nAnswer: 0, 1, 4, 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 134.1 (b) -248 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/11)*a*a**7)\/(a*a**0*a*a\/(a**6\/a))*(a\/a**(-15)*a*a*a**(2\/51))**(-4\/5) assuming a is positive.\nAnswer: a**(-1772\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3316 + 0.0316. What is the smallest value in 1\/2, -0.14, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.468506 minus 7035?\nAnswer: -7034.531494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/((-454)\/(-7037))*4.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/81*66\/1936*22?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (260\/(-2002))\/(9\/63)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -g + 129, 0*i = -4*g + 3*i + 489. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/4 + 2*i + 15\/4 = 0. What is i?\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1161 divide 1529921682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19491*s - 10525132. Determine f(540).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-2*sqrt(68))**2 + -1 + sqrt(68))*-5 - (sqrt(51)\/(sqrt(3)*-1) + 4*sqrt(85)\/sqrt(5) + sqrt(17))).\nAnswer: -1358 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-12)\/(-9))\/((-2)\/4*-20).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -4262256444?\nAnswer: -4262256451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418731*v**2 - 418726*v + 5 = 0. Calculate v.\nAnswer: -1, 5\/418731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 7002?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 7*a**2 - 6*a + 3. Let o be t(-6). Let p be 0*((-16)\/6)\/8. Sort p, o, -2 in increasing order.\nAnswer: -2, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.1564 and 2.\nAnswer: -10.3128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a centimeter in millimeters?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 61347 = -35*u - 60886, -2*u + 2*t = -22 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 2 - (-1 - -7). Let b be -2*q*1\/(-2). Let d(k) = 13*k**2 + 3*k - 1. Let u(s) = -9*s**2 - 2*s + 1. What is b*u(c) - 5*d(c)?\nAnswer: -2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24497042 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 4 - (-18 + 4 + (5 - 4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 25. Suppose -3*d = -4*z + 110403, 2*d = -n*z - 4*z + 110398. What is z rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 2*u - 20*u**2 + 102*u**3 - 103*u**3 as c*u + b + r*u**2 + w*u**3 and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-11))\/((-34)\/187*9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - 13. Let f be (3 + m + -1)\/(-2). What is the greatest common divisor of f and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1516*v**3 + 22*v - 3023*v**3 + 1508*v**3 to d*v + a*v**3 + y*v**2 + z and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 not equal to 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-675)\/(-12))\/5 - (12 - 1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z + 6 = 0. Suppose 6*b - b + 3*g = 22, g = b + 2. Let l(y) = -y**3 - 14 + 14 - 3*y**b - 2*y. Calculate l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -47. Is u a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/13)*l**(2\/5)\/l*((l*(l*l**(5\/7))\/l)\/l)**(12\/7))**18 assuming l is positive.\nAnswer: l**(44622\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = 5*v - 65, -39 = -3*v - 4*d. Suppose 7 = 5*o - v. Let b(a) = -o*a + 2*a + 4*a. Let m(s) = -2*s. Determine m(b(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50796*t**2 + 2*t - 77585.\nAnswer: -101592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 5*w + 54, 3*a - 32*w - 47 = -15*w - 16*w for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 2*u**3 - 23 - 16*u**4 - 21*u**2 + 15*u**4 + 10 to q*u + a*u**3 + f*u**2 + l + c*u**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + -1)*(-5)\/20*2. Suppose s = -n + 18. Solve v - 8 = 2*d - 0*d, -3*v + d = -n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + 3)*(-11)\/(-99). Which is the second smallest value? (a) -6 (b) -5.6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5510258, 5510247, 5510222, 5510177, 5510106, 5510003, 5509862, 5509677?\nAnswer: 5509442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -17. Let g = h - 7. Suppose -g*t + 2*t = -759. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 21?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-1)\/(-2))\/((120\/(-1560))\/((-952)\/(-1820))).\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) - ((-502)\/9 - -4). Let g be (1625\/(-100))\/(5\/(-8)). What is the greatest common factor of g and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(-10) + -1)*(-60)\/48*1. Let f(o) be the third derivative of 0*o + 0 - 7\/60*o**5 - p*o**4 - 4*o**2 - 7\/6*o**3 - 1\/120*o**6. Give f(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -5*y - 3*o, -5*y + o + 17 = 0. Let f = 9 + -7. Suppose -3*z + y*v = -27, f*z + 2*z - 3*v - 31 = 0. Solve z*p + 8 = -4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 89590.07m?\nAnswer: 89.59007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6886 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58989 and 2597.\nAnswer: 412923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35912 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: Let k be -4*2\/4 - -3. Let g(d) = 79*d**3 + d**2 + d - 1. Let s be g(k). Suppose 3*a + 96 = 6*a. Calculate the highest common divisor of a and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f - 24. Let z(g) = -3*g - 23. Calculate 2*x(j) - 3*z(j).\nAnswer: j + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207 + 212. Suppose -h*l = -636 + 141. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t - 11014 = 8986. Is 26 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -3324\/8203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198651 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 140772580 divided by 28154516\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.13204\nAnswer: 0.052816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q - 85. Let z be r(20). Let h be 12\/15*z\/(-10). Solve h*t + 8 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/95 + (-46)\/90. Sort h, 1\/8, -2\/21 in ascending order.\nAnswer: h, -2\/21, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 466 - 26. Sort -5, l, 4 in increasing order.\nAnswer: -5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3810418 and -6\/4501.\nAnswer: 26672926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*h - 2*c + 68 = -440*h, -2*h + 27 = 5*c for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*k**3*m*o**3 - 214*k**3*m*o - 7*k**3*m + 2*k**2*m*o**3 + 9*k**2*m + 2*k**2*o**2 - 3*k*m*o**3 - 2*k*m*o**2 wrt k.\nAnswer: 78*m*o**3 - 1284*m*o - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13119 - 13117. What is the closest to -9 in 5, 9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 30*g**3. Give t(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -5*y - 22. Let z be (-2)\/2 + 3\/1. Let q(j) = 4*j**3 - j**2 + j + 2. What is the remainder when q(z) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -127141, -127127, -127087, -127009, -126881, -126691?\n\"Answer: 2*r**3 + r**2 - 3*r - 127141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13701762 to the power of 1\/2, to the nearest integer?\nAnswer: 3702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 1\/9*z**3 - 5\/6*z**2 - 10 - 2*z. Suppose d(i) = 0. Calculate i.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - (-563 + 6) - -1. Let i = 557 - u. Solve 11 = i*n + 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-15)*3\/(24\/4)*-26?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157159245?\nAnswer: 3, 5, 10477283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1703*h + 1776*h + 435673 = 4070*h for h.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 1, -31*s = -26*s - 4*a - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4 + 20. Let k(g) = -g - x*g + g - 1 - g. Determine k(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o - 2579. Let r(w) = -2*w**2 + 1 - 1 + 25593*w - 25593*w. Calculate s(r(y)).\nAnswer: 6*y**2 - 2579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 9. Calculate f(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -670 - 660 + 1330 + 5*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-6)*-2*(-1)\/6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-72))\/(18\/(-216))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*u + 36 = 0, 4*p + 2*u - 31 = -1. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 11302132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14755 and 2270.\nAnswer: 29510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -430130 + 10?\nAnswer: -430120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3311116407?\nAnswer: 3, 73, 1679917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 3*g + 5. Suppose -x = -5*x + 24. Let v(n) = n**2 - 3*n + 6. Let u(t) = x*v(t) - 7*b(t). Determine u(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -33*j**2 - 30*j. Let c(g) = 28*g**2 + 30*g + 1. Let l(s) = 7*c(s) + 6*u(s). Give l(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*s + 2*l - 9, 3*s - 23 = -4*l. Solve 3*k - k - 4 = 2*n, 4*n = k - s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*z - 33 = -2, 0 = 4*s - z + 18. Let j = s + 8. Suppose o = 2*t - t + 34, 0 = -j*t + 9. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + 0.15. Let p = -63.024 + 0.024. Let h = p - -62. Is h < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22651 + 8*w**3 + 22651.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 58\/45 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -400 + -2?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106080 divided by 240.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -605\/7, -0.0346, -4, 0.4, -2, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 7. Let w(p) = p**3 + 14*p**2 - p - 19. Let x = 183 + -197. Let v be w(x). Give s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 18*t**2 - t - 7. Let v(o) = 89*o**2 - 5*o - 35. Calculate 11*b(k) - 2*v(k).\nAnswer: 20*k**2 - k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-44))\/((-3)\/(-12)). Which is the smallest value? (a) k (b) -7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 17, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49829458914952 - 0.1?\nAnswer: 49829458914951.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*(-1 + sqrt(5324) + -2)*3 + 1)**2.\nAnswer: -45144*sqrt(11) + 1728225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34962128, 69924259, 104886390?\nAnswer: 139848521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/1 - (-408)\/72.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -3*h + 44. Let s(c) = 5*c**2 - 4*c. Let p(z) = 9*z**2 - 8*z. Let q(w) = h*s(w) + 6*p(w). What is the second derivative of q(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/440 and (-10)\/4*1729\/9500?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 7. Let o be 6\/(-3) + m + 2. Let g = 106.3 + -106. What is the third smallest value in o, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -1, 0, -10.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 5*v + 20. Calculate a(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(240)*-1)\/(sqrt(588)*2) + 2)*-5.\nAnswer: -50 + 25*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 8:58 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4168*b**5*m - b**4*m**2 - 3*b**2*m - 229*b**2 + m**2 wrt b.\nAnswer: -250080*b**2*m - 24*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 9) to base 12\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-44)\/55*(-20)\/(-6). Factor -d*c - 4\/3 - 1\/3*c**3 - 5\/3*c**2.\nAnswer: -(c + 1)*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108668898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/49 (b) 0.4 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9548 - 11925 + 44*u + 21473.\nAnswer: 44*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 422 = -5*b. List the prime factors of b.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6095.\nAnswer: 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**3 - 4*g**2 - 7*g + 5. Let z(v) = 5*v**3 + 5*v**2 + 8*v - 6. Let d(m) = -4*m - 7. Let r be d(-3). Determine r*z(h) + 6*i(h).\nAnswer: h**3 + h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 12. Let i = 20 - n. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 9. List the prime factors of 19 - (-5 + r + 4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v + 13. Let q be r(-7). Let l(m) be the first derivative of 3*m**4\/4 + m**2 + m + 15. Calculate l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**2 + 8*q**2 - 3 - q**2 to the form p*q + m + z*q**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 438.2 days in weeks?\nAnswer: 62.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 32 + 1)*(a - 1 + 1).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 965670.7ml in litres?\nAnswer: 965.6707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -54*v + 222, -2*q - 111*v = -7*q - 108*v - 42 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 6042?\nAnswer: -6036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 20. Let d be k(-7). Let q be d\/(-9) - (-1)\/3. Which is bigger: 5\/4 or q?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - s**5 - 3*s**5 + (-10 + 25 - 16)*(-9*s - 18*s + 6*s)*(0*s**3 + 0*s**3 - 2*s**4).\nAnswer: -44*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-28)\/(i\/i**(-9)))\/(i\/(i*i**(1\/6)))**(-14))**(-4\/25) assuming i is positive.\nAnswer: i**(484\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*i - 5*i - 2*i)*(-5 + 1 - 1) + 0 + i + 0 in the form t + g*i and give g.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v + 25. Let x be z(3). Let l = x + 14. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82813 is divided by 910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*(sqrt(105) + 3*sqrt(105)))\/sqrt(5))\/(2*4*sqrt(300) - sqrt(300) - sqrt(300)).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 436104465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-7))\/(38\/(-133))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6325 and -146.\nAnswer: -6471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26508*q + 66*q**3 - 12*q**2 - 26508*q wrt q.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 7*c - 5*n + 505, 0 = 2*c + 3*n - 511. Suppose -10*f + c = -5*f. Suppose f + 372 = 8*d. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 87.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/4 + 2083*n. Let f(z) = 39*z**2. What is c(f(l))?\nAnswer: 4563*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 60117111 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(3795\/44))\/(6\/(-5)*-3)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7021817*j**4 + 7*j**2 - 41421287*j.\nAnswer: 84261804*j**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58917 by -123.\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5197922?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2 + 46687048*g + 136230028184644 = 0.\nAnswer: -5835881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**9\/22680 - b**8\/4200 + b**7\/3150 - 17*b**3\/6 + 21*b. Let q(h) be the second derivative of k(h). Let q(j) = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.57369 and 55?\nAnswer: 54.42631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32566.151 - 32590. Round w to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 1 + 3*n**3 + 3 + 5*n**2 + 64346*n.\nAnswer: 3*n**3 + 2*n**2 + 64346*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4151505, -16606189, -37363995, -66424923, -103788973, -149456145?\n\"Answer: -4151561*j**2 - j + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1463625 divided by 3\nAnswer: -487875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 2*f**2 + 7*f + 7. Let x be u(4). Suppose -10*h + x = -7*h. What are the prime factors of 63\/((16\/(-6) + 3)\/h)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8040 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:41 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - q + 0*q - 121*q**3 + 123*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 71.8 (c) -2 (d) 5 (e) -26\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 17 (b) 0.1 (c) 0.198 (d) 0.4 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13800 and 728.\nAnswer: 1255800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, x: 6, j: 4}. What is prob of picking 1 x and 2 g?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/30)\/(3192\/42597). Let y = 3169 + -421513\/133. Let j = b + y. Calculate the common denominator of j and -89\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**3 - 3662*n**2 + 5*n. Let m(k) = k**3 + 4*k**2 - k. What is -5*m(r) - u(r)?\nAnswer: -r**3 + 3642*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 10*j - 10. Calculate c(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 18. Let a(g) = 16*g - 40*g + t*g + 11*g. Let w(f) = 23*f**2. Calculate w(a(o)).\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179 + 158.8. Let p = j - -20.6. Put p, 1\/9, 49 in descending order.\nAnswer: 49, p, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -476, -1680, -4338, -9176, -16920, -28296, -44030, -64848?\nAnswer: -91476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 18*d**2 - 18*d - 15. Let o be q(19). Suppose -o*j = -j - 63. Suppose -u + g + 15 = -3*g, -j = -4*u + 3*g. Solve -u*a + 25 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 279 = 31*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -243*q**8\/140 - 18*q**7\/175 - q**6\/600 - 2530*q**2. Suppose f(j) = 0. What is j?\nAnswer: -1\/54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(3\/46)\/(((v*v**4)\/v)\/v*v**1) assuming v is positive.\nAnswer: v**(-187\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 2, p: 1, h: 3}. What is prob of picking 1 h and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -4 (c) 5 (d) -127\/3 (e) -2 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-28)\/10)*5\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 + i - 8*i - 10*i.\nAnswer: 7*i**2 - 17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = o - 1047, -1038 = -2*a - 2*o - 2*o. Let f = a - 301. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 149*l**2 + 12*l - 40. Is r(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135500 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 0*c + 5\/3*c**3 - 23 - 25\/2*c**2. Solve w(t) = 0 for t.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -2325205\nAnswer: -162764.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4673307.99946 + 4673367. Let s = -59 + v. Round s to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 6:06 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12862 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06676319 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/8*16\/(-6). Suppose 30 = -67*r + 82*r. Factor -b*n**r + 8\/3 - 4\/3*n**3 - 8\/3*n.\nAnswer: -2*(n + 2)**2*(2*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54542.\nAnswer: 2, 27271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*t - 4 - 51 = 0, -3*c = -4*t + 50 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 + 440 = 60*r. Calculate the smallest common multiple of r and 115.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 3*o + 3*o)*(11721*o - 11721*o + 72*o**3).\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1423*0.525\nAnswer: -0.0747075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**5\/20 - 3*k**4\/4 - 3*k**3\/2 + 25*k**2\/2 + 17*k. Let v be n(10). Calculate the greatest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0*s**5 + 3\/2*s**2 + 0*s**3 - 1\/10*s**6 + 0*s**4 + 0 - 8*s. Differentiate k(m) wrt m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 968043, 968034, 968013, 967974, 967911?\n\"Answer: -d**3 - 2*d + 968046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(180))\/sqrt(10))\/(((sqrt(6) - (sqrt(54) - sqrt(6))) + sqrt(6))*-6 - sqrt(6)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*o - 16, -3*o + 267 = 2*k + 281 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -8*p + 12*p + 76, -5*p + 409 = 4*h. What is the lowest common multiple of 128 and h?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-210*d**2 + 210*d**2 + 73*d**3)*(-d - 3 + 3)*(11*d + 11*d - 6*d) + 2*d**5 + 2*d**5 - 2*d**5.\nAnswer: -1166*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - -103031324?\nAnswer: 103031304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (15 - 15) + -16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1342*s - 18683. Give t(-16).\nAnswer: 2789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 - -111. Let g(k) = k**2 + 6. Let z(d) = -3*d**2 + d - 19. Let j(x) = -11*g(x) - 4*z(x). Calculate the remainder when f is divided by j(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1612, -10156, -32574, -75802, -146776, -252432?\n\"Answer: -1156*g**3 - g**2 - 449*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 16*a**2 - a + 4. Let f(j) = 8*j + 48. Let h be f(-8). Calculate the remainder when n(h) is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 2. Suppose 5*m = -r + 19, 3*m - 13 = -2*r + 3*r. Let t(g) be the second derivative of g**3\/6 + g**2\/2 + 2*g - 72. Calculate r*t(x) + z(x).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -218 - -548. Let c = x + -273. Let w(n) = -3*n**3 - n**2 + n + 2. What is the remainder when c is divided by w(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j*n**3*q**2 + j*n**2*q**3 + 2*j*n**2*q + 805059*n**3*q**3 + n**2*q**3 + 55856*n**2*q**2 wrt n?\nAnswer: -6*j*q**2 + 4830354*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*p + 129 = 2*z, 8 = 2*p. Let r be z\/(-3) - 1\/(-3). Let b(l) = -7*l - 2. Let j be b(-11). What is the greatest common factor of r and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8207 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -53. Solve -16 = -y + 4*t, 3*y - 3*t = -0*t + c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92\/3*w**2 - 2\/3*w**3 - 1216\/3 - 640\/3*w = 0. What is w?\nAnswer: -38, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -23. Let x(a) = -a**2 + 17*a + 27. What are the prime factors of x(t)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*q. Find the common denominator of (-23)\/4 - (q - 1) and (-30)\/2 - 30\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805072578?\nAnswer: 2, 3, 359, 373757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 282859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let q(g) = 1049*g. Give k(q(s)).\nAnswer: 2098*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -116*z - 279. What is the smallest common multiple of y(-4) and 111?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 32. Let l be (3 - 33)*8\/f. Differentiate -g**2 + 5 - l*g + 24*g wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 6) to base 5.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0140891 to 4 dps.\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/3)\/(2\/6). Suppose -2*w = -17 + 5. Suppose -2*x + w + 0 = 0. Put -5, g, x in decreasing order.\nAnswer: x, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28bb81 (base 13) to base 7.\nAnswer: -11322206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3344 (base 6) to base 14.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-10))\/((-18)\/(-15) + (-36)\/180)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 135 + 1 - 106 = 0. Sort m, 0, -43 in increasing order.\nAnswer: -43, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 5245. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 80*v + 85*v + 32 to x + n*v and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - 2768183?\nAnswer: -2768158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3 - 11 = 4*m, 2*a + m - 1 = 0. Suppose -4*p + 5*d + 15 = 0, -4*d + 5 - 1 = 0. Suppose -2*c + p = -3. Is a equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -1671, 4, 23, -1, -5 in increasing order.\nAnswer: -1671, -5, -1, 2, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/12 - (-1)\/6. Let m(j) = -j**2 - j - 27. Let s be m(i). Let u = s + 45. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000033079 rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 4, l: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121984?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*z - 7*z + 22*z + 0 + 0 + z + 2 - 2 + 2*z + (-2 + 3 - 2)*(4 - z - 4) - 4*z - z + 4*z + 0*z + 0*z - z as v*z + q and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + (8 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 15*t - 38. Calculate j(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 14. What is v(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.552948 rounded to zero dps?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33\/(((-135)\/(-80))\/(-9)). Let b = 397 + d. Calculate the remainder when b is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 11 + (0 - (9 + -7))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44583, 44558, 44517, 44460?\n\"Answer: -8*d**2 - d + 44592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 2:14 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1404882017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -51?\nAnswer: -14\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 18 = -4*n - 3*q, -2*q = 5*n - 23. Let 2\/3*w**n + 2*w - 2\/3 - 2*w**2 = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:41 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -108497.9.\nAnswer: 5424.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**5\/20 + 5*w**4\/6 + 3*w**3\/2 + 5*w**2 - 2350*w. Give t(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18345673 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 93541?\nAnswer: 9353c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - ((-223)\/(-4)*(-48)\/300 + 11).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 55. Solve 3*i - 2*g = 14, -c*i - 3*g + 7*g = -24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and (-38)\/532 + 120964\/56?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + sqrt(1275)\/sqrt(3)*4.\nAnswer: -6 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 - -67. What is the biggest value in 1, 2\/7, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1494.44 to the nearest ten.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*i = 5*b - 12, -b + 16 = 3*i. Let j(c) = -c**3 + 16*c**2 + 20*c - 46. Let p be j(17). Solve f - b = u, -5*f = u - 2*f + p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -70, -106, -140, -172, -202, -230?\n\"Answer: s**2 - 41*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r**2 + 0 + 1434*r - 1434*r + 0.\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*q + 12 = 0, -2*m - 56*q = 76*q - 129*q - 24 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8668*0.45\nAnswer: -3900.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-85*(-2)\/100)\/((-3)\/180*12)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -2*r + 11*u + 17, 5*r = u + 8. Which is the closest to 0? (a) -4 (b) 2\/7 (c) r (d) -545\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102300301 (base 4) to base 14.\nAnswer: -20013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 421\/1299 - -4\/433. What is the nearest to -1\/22 in 2\/13, b, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6525 + 6975?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 531*z - 548*z + 102. Let m(v) = v**3 - 8*v**2 + 10*v - 4. Calculate m(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_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 the value of (4 - 7) + -2 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - -78. Suppose -m + 10 = -2*a. Suppose -a = -8*p + 4*p. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 97 + 5. Let y = t + -83. Is y less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(2*sqrt(54)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 1\/2*b - 1\/6 - 1\/3*b**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**3\/5 - 3*x**2\/5 + 3*x\/5 + 4. Factor q(g).\nAnswer: 3*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 10*b + 12 = 0. Suppose 0 = -4*u + 7*g - 11*g, -24 = b*u - 5*g. Suppose 4*h = -4*n - 4, 2*n = 3 + 5. Put u, h, -1 in decreasing order.\nAnswer: -1, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3031203 (base 4) to base 15\nAnswer: 3d70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 2. Let a be p(2). Let x = a + -6. Let i be 2 + (-1 - x) - 1. Solve -13 = -3*o + i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4049 is divided by 413?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 - -1693. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15468 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0 - 2. Suppose -4*t + r - v = -5, -t - r + 1 = 0. Solve 3*l - 2*l + t = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 - 2 + 59*p - 2.\nAnswer: 59*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 3 + 3 + 9*f - 6*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156479 or -156477?\nAnswer: -156479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1067, 4356, 9909, 17762, 27951, 40512?\n\"Answer: 6*p**3 + 1096*p**2 - 41*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 339 + -587. Let t = -244 - r. Solve 0 = -t*p + n + 1, -n - n = 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/55616 and -7\/76472.\nAnswer: 611776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + v + 14. Give y(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.517 and 15.\nAnswer: 13.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9162181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 523261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -92*y - 2. Let q be m(2). Calculate the common denominator of -145\/18 and q\/120 - (-1)\/(-1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899076 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17 + -20 + 1\/2*2. Which is the biggest value? (a) 2 (b) 0.4 (c) o (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180.74 * 2.31.\nAnswer: -417.5094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 13 - 5\/4*w**2 + 5\/24*w**4 + w + 1\/16*w**5 - 5\/24*w**3. Find d, given that h(d) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5\/((-140)\/(-119)))\/(1\/((-88)\/825))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42967410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -13. Let q = z + 22. Let k = -9 + 9. Sort k, q, 1\/6 in increasing order.\nAnswer: k, 1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 27*f - 32. Let x be z(-28). Calculate the remainder when 75 is divided by (-156)\/(-15) - x\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l - 2*l)*(-l**3 - 2*l**3 + 2*l**3)*(1 + 1 - 1).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 40 = f. Suppose -w + f = w. Let j be (-2)\/(-7)*7*(-154)\/(-28). Solve w*s + 4 = -j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m = 610 + 801 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 3146?\nAnswer: -3134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 2*p + 151 - 93*p**2 + 2*p**4 - 256 + 104 to the form w*p**2 + u*p + k + h*p**3 + b*p**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9590 and 5672240?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 9, 40, 85, 150?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6905?\nAnswer: 5, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let y(b) = 15*b - 2. Let d(w) = -286*w + 39. Let l(k) = k - 11. Let n be l(9). Let z(p) = n*d(p) - 39*y(p). What is z(v(s))?\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-8 - -15) + (-1 - 8).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 greater than or equal to 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 969 and 132726837?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 3. Suppose -4*b - 3*k + 60 = 0, -68 = b - g*b - 2*k. What is the remainder when (-6)\/(-4)*(-264)\/(-18) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18260962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 10*q**3 - 18*q**2 - 2*q - 9. Let g(k) = -11*k**3 + 17*k**2 + 3*k + 12. Give 5*b(w) + 4*g(w).\nAnswer: 6*w**3 - 22*w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -32, 46, 188, 394, 664, 998?\nAnswer: 1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 11) to base 6.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/6*18\/12. Let l(n) = n**2 - 7*n + 1. Calculate l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.935157 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -144*s + 57. Determine u(-2).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -28*g + g**2 + 3 + 20*g + 2. What is r(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-3 + 3 - g) + 410*g - 138*g - 2253*g + 13 - 15 - 651*g.\nAnswer: -2634*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/20)\/(0 + 1). Which is the nearest to 1? (a) 4 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 2*f + f + 3*f**2 - f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 356, -3, 1, -2 in ascending order.\nAnswer: -3, -2, 1, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-45))\/(5\/((-45)\/6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6534*w**2. Let g(q) = 5*q**2. Calculate j(g(v)).\nAnswer: 163350*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**4 + 20*q**3 + 6 - 3 + 7*q**2 - 6 - 11*q**3 - 8*q**3 in the form w*q + m*q**4 + z*q**3 + l + g*q**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4219643.\nAnswer: 173, 24391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x - 24 = -4*v, 0 = 3*v - 5*x - 18. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**5 - 17400*j**4 + 912*j**3 + 536*j**2 + 13644*j - 4 wrt j.\nAnswer: -60*j**2 - 417600*j + 5472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {c: 2, z: 2, p: 1, l: 2, y: 1, m: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p - 20. Let l be z(-6). Let d = 2.4 - 2.3. Let u = 0.4 - -0.1. Which is the nearest to d? (a) l (b) -4\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113\/10 or -29\/3?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -111659800 to the nearest 100000.\nAnswer: -111700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14360361 (base 9) in base 4?\nAnswer: 123023220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -261*p**4\/4 + 4*p**3\/3 + p**2 - p - 28. Is u(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**4 - 341*c**3 + 11*c**2 - 32255 wrt c?\nAnswer: 4*c**3 - 1023*c**2 + 22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -385249180 to the nearest one hundred thousand.\nAnswer: -385200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*b = -291*b - 401*b - 3276 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -9. Suppose -m*o + 20 = -3*o. Solve -o*i = 0, -2*i + 1 = -j + 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 31*t - 3. Let h(s) = 7*s + 762. Let q be h(-108). Let i(v) = 31*v - 2. Determine q*i(f) - 4*l(f).\nAnswer: 62*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2443272 divided by -4\nAnswer: -610818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 + (-125)\/50\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 19 + 15*o + 13\/2*o**2 + 2\/3*o**3. Let q be w(-5). Which is the second smallest value? (a) q (b) -3\/4 (c) 0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2694*r + 113237 - 89 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/24 + n**3\/2 - 3*n**2. Is 8 a factor of w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(2\/2))\/(12*12\/32).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + -538. Calculate the common denominator of -121\/18 and (-24)\/84 + w\/(-84).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22\/45 + -1\/90. Put -2\/11, -5, x in decreasing order.\nAnswer: -2\/11, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8775 is divided by 521.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 73 = -n, -1239355*r = -1239353*r - 16*n + 20 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4970962 is divided by 510?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*d**3 + 2)*(2*d + 0*d + 0*d)*(35 + 33 - 19).\nAnswer: -196*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192870860?\nAnswer: 2, 5, 7, 13, 15139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3 - (-15)\/6). Suppose 0 = -2*b - 2*b + 2*a + 14, 0 = t*a - 12. What is the common denominator of -27\/4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*z**5 - 9982456*z**3 + z - 116464360 wrt z.\nAnswer: -80*z**3 - 59894736*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.73926251 - -0.06324749. Let n = 33.8 - j. Round n to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*c - 32 = 0, 0 = -5*s - 0*s + 3*c + 8. Suppose -4*g + 28 = s. Let h(q) = -q**2 - 3*q**2 + 7 - 8*q + 0*q**2 + 5*q**2. Calculate h(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 3*k - 1. Let g = 18 + -20. Let y be h(g). Suppose 0 = -q - 2, -4*i + q = 81 - 695. What is the highest common factor of i and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 506763, 506739, 506667, 506523, 506283?\n\"Answer: -4*t**3 + 4*t + 506763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -548.69 + 548.99. Let o = -0.27 - -11.27. Let p = o + -8. Which is the third biggest value? (a) t (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-8)\/154)*(12002\/238 + -51)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -3.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (1 - -7) + 2 + 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 3*c - 0 - 2, 0 = 3*g + 2*c + 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 317 - 213. Calculate the remainder when q is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 3, -0.1, -25, -0.0335, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 83008*u**2 - 2 - 1 + 83009*u**2.\nAnswer: u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2 - 79*u - 2*u**2 + 86*u. Let r(a) = a. Calculate f(r(z)).\nAnswer: 4*z**2 + 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3775 - 3742. Solve 0 = 17*f - n*f - 96 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -639, -3146, -7535, -13806, -21959, -31994?\nAnswer: -43911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 48.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2 - 63\/21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from eaqeayyatteqyqemaaa?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23722.56 and -0.163.\nAnswer: 3866.77728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from {z: 1, h: 2, y: 1, p: 1, f: 1, t: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121472 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4490000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/36*2*5*-4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 4, 1255.78?\nAnswer: 1255.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18703, -18630, -18569, -18514, -18459, -18398, -18325, -18234?\n\"Answer: y**3 - 12*y**2 + 102*y - 18794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2895\/11 - -263. What is the second smallest value in b, 1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1075998 divided by -5754.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and -11.85.\nAnswer: -23.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/2 + 4*h**3\/3 - 15*h**2\/2 - 2348*h - 5025. What is the derivative of d(t) wrt t?\nAnswer: -6*t**2 + 8*t - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 41\/(3 + (-8)\/4). Let q be 1\/((-14)\/(-8)) + (-7893)\/(-189). Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -8549*t**5\/20 - 2746*t**4\/3 + 23*t - 163. What is the third derivative of o(k) wrt k?\nAnswer: -51294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + -3*(3 + ((sqrt(153) - sqrt(153)*-2) + sqrt(153))*6) + 0)**2.\nAnswer: 28512*sqrt(17) + 4759638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 68.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 857.0899 micrometers?\nAnswer: 0.0000008570899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1 + (sqrt(171)*1)\/sqrt(9))**2 - sqrt(152)\/(sqrt(8) - 1*sqrt(392))) + 3)*-5.\nAnswer: -690 - 65*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3*z + 64 = 0, 131*z = 2*g + 139*z + 114 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 21*h**2 - 31*h + 49. Let a be d(25). Suppose 0 = 6*g + 12582 - a. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291 - 6*z**2 + 591 - 300.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*d + 11 = 0, -2*d - 6 = -2*a - 0. What is the second derivative of m**2 + 3*m + m + m**a - 3*m wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, w: 2, u: 1, d: 1, x: 5, y: 1}. Give prob of sequence ud.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 55\/2 of a microgram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-39)\/q)*q\/q**6)\/(q**(-27\/5)*q**(-2)) assuming q is positive.\nAnswer: q**(217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzkkkkskzej. What is prob of picking 1 e and 2 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -20*z - 2 - 4 + 0. Let h(n) = 9*n + 56. Let p(g) = 8*g + 29. Let i(o) = h(o) - 2*p(o). Calculate -6*c(k) + 17*i(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 5 (c) -7632 (d) -0.2 (e) 2 (f) 0.008 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, -1, -10, -23, -40, -61, -86?\n\"Answer: -2*p**2 + p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518*t + 21876 = 522*t. What are the prime factors of t?\nAnswer: 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q + 166 = 60*q + 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**6\/90 + p**5\/20 - 71*p**4\/36 - p**3\/6 + 35*p**2\/3 + 3526*p. Let a(j) = 0. Calculate j.\nAnswer: -10, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1 + 1 + 2*r - 3*r. Let t be d(-17). Let z = t - 23. Let l(k) = -2*k - 3. What is l(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2082 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1022 and 8451590.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 greater than or equal to -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = 3*i. Suppose 22 = 4*z - 2*m, 4*z + m - 10 = -m. Let x(f) = -f + 2. Let l be x(z). Put l, i, 1 in decreasing order.\nAnswer: 1, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/386946 and 85\/1302.\nAnswer: 11995326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*i + 9, -y - 3 = 4*i + i. Suppose -19*k + y*k = -32. What is the remainder when k is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801872117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -0.8. Let g = -20.8 + r. Let z = -28 - g. Which is the smallest value? (a) z (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -43*b + 47*b - 4 - b. Let z(c) = -2*c + 2. Let w = 22 - 29. Calculate w*z(u) - 4*p(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/8 + 567*k**3\/2 - 6831*k**2\/8.\nAnswer: 3*k**2*(k - 3)*(k + 759)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -376 - -630. Let z = 282 - -202. Suppose y + r + 222 = 5*l, 5*l - z = -y. What is the greatest common factor of l and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -11001?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q - 350 = -5*a, -3*q + 330 = 5*a. Suppose -x + 943 = -3*v + a, -2*x + 1775 = 3*v. What are the prime factors of x?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222881, -222885, -222891, -222899?\nAnswer: -222909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.97 - -0.03. Suppose -r = -3*t - 23, 19*r = 2*t + 21*r + 2. Which is the biggest value? (a) 0.1 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 87*a + 437941. Is x(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide -82*2*2\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 5, 1, -45, -13\/3, -5 in descending order.\nAnswer: 5, 1, -2\/11, -13\/3, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 443, 912, 1407, 1940, 2523, 3168, 3887, 4692?\nAnswer: 5595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 8*w**2 + 855 + 442 - 7*w**2.\nAnswer: w**2 + 1261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 0, 3\/10, 1.9 in ascending order.\nAnswer: -4\/3, 0, 3\/10, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 11 - 66*z + 1 to p*z + x and give p.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 + 15*d. Calculate the lowest common multiple of 78 and f(4).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2 + 4*n - 4. Let p(g) = g - 1. Let s(q) = 4*p(q) - t(q). Let f be s(-1). Let y(a) = f - a**3 - 8*a**2 + 19*a - 39*a + 30*a. Give y(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/3264 and -131\/6528.\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -134186 >= -134184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 951, 931, 907, 879, 847?\n\"Answer: -2*b**2 - 14*b + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75377163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times -35.1?\nAnswer: -5.967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkwlklkkkkklkklklww. What is prob of sequence llw?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndqndq. Give prob of picking 1 n and 1 q.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118588 and 64929508?\nAnswer: 1493378684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -75.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 284 - 272. Suppose 14 + 16 = 2*r. Suppose -m = -i + r. Calculate the greatest common factor of 135 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n - 1 - 32 = 96*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*j**3 - 14*j - 1321 wrt j?\nAnswer: -108*j**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/39 in -1\/8, -111, 1\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a\/((a*a*a**(1\/2)\/a*a*a)\/a))))\/a*a*a\/(a\/a**(-1\/13))*a*a*a**(-6)*a**4 assuming a is positive.\nAnswer: a**(-15\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.66 + 59.66. Let j = 57.84 - n. What is j rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0.1089, 4, 0.17?\nAnswer: 0.1089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1674 is divided by 112.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-6)\/(w*(w*(w*w**(-2\/7)*w)\/w*w)\/w))\/(w\/(w*w\/(w\/w**(-1\/7)))*w**(1\/2)))**(-45))**(2\/25) assuming w is positive.\nAnswer: w**(1179\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9749861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 - 96 = -11*x. Suppose -4*r + 558 = -2*r. Calculate the highest common divisor of x and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 20*a + 4. Calculate x(5).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51386, -102797, -154234, -205709, -257234?\n\"Answer: -2*u**3 - u**2 - 51394*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/20)\/((-2)\/240). Let i = z + 244. Suppose 4*l = -0*l + i. Solve -l = 5*s - 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 - (-9 + 2)) + 34. Calculate the highest common divisor of p and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*((b**(-19\/2)\/b)\/b)\/b*b*b*b*(b\/((b*b**(9\/2))\/b*b))\/b assuming b is positive.\nAnswer: b**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5529 + -1 - 0) + -30 + 28. Let r = -121725\/22 - k. Find the common denominator of -71\/22 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.31 minus 3.17?\nAnswer: 72.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 100, 117, 140?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/10)\/(4\/((-32)\/(-12)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {y: 2, e: 1, o: 1, i: 1, a: 1, t: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**3\/5 + 24*l**2\/5 - 9*l = 0 for l.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/8 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 2 = 8*b. Solve 3 = -5*g + b*v + 16, -5*g - 5*v = 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108751000 rounded to the nearest one million?\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1542*o**4 - 3*o**3 + o - 15133 wrt o?\nAnswer: 6168*o**3 - 9*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -72*i - 3. Let b(q) = 114*q - 114*q + 29*q. Determine b(d(x)).\nAnswer: -2088*x - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y + 12. Let n(q) = 25 - 14 - 4*q - q. What is 4*g(j) - 5*n(j)?\nAnswer: j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48867 = 5*x - 3*m, -x + 4*m = -2660 - 7110. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(108\/40) - (-2)\/(-2). Determine l, given that 0*l + 0 + h*l**4 - 2\/3*l**3 - 5\/3*l**5 + 0*l**2 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - l**2 + l + 2. Let m be s(0). Let o = 6499\/40 + -853\/5. What is the common denominator of o and (m - (2 - 1))\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35045, -34847, -34655, -34469, -34289?\n\"Answer: -3*b**2 + 207*b - 35249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 - 42*f**2 + 189 - 21 - 369*f**2.\nAnswer: -411*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31739?\nAnswer: 17, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t - 1. Let m be n(-6). Let w = m + 79. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54775.37 millennia in centuries?\nAnswer: 547753.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*d**2 + 262*d**2 - 4680059 + 272*d**2 + 4680059 - 183*d**2.\nAnswer: 583*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 - -73?\nAnswer: 73.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 2*t - 3*t)*(18*t - 129 + 129)*(3 + 3 - 3 + (4 - 3 + 1)*(-2 + 5 - 1)) as l + n*t**2 + z*t and give n.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2253 - 2245. Which is the nearest to -8.3? (a) -1\/6 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vajjsasvvjajs. What is prob of picking 2 s and 2 a?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33792\/(-1760)*2890\/(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 34350.\nAnswer: 961800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 + 2*p**2 + 0*p**2)*(-530*p + 1068*p - 536*p - 839) to h*p + n*p**2 + m*p**3 + o and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 61706796 to the power of 1\/2, to the nearest integer?\nAnswer: 7855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32111110 - -20313?\nAnswer: 32132023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10101010000010?\nAnswer: 10101010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 13 - 28 = 0. Suppose -13 = l + 3*p - y, -2*l + 3*p = 34. Let a = l + 13. Which is greater: a or -5\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(45\/36)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3708\/515*700\/(-105)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 468 from -2145733598811.\nAnswer: -2145733599279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -141917039 divided by -4577969?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 48*v**3 - 4*v**2 + 3. Let u be i(1). What is the first derivative of -56 - 42 + 49 - u - 117*s wrt s?\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:19 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58 - (2 + -4 - -5))*((-368)\/8 - -45).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + -6*(-1 + sqrt(720))*2)*6.\nAnswer: -864*sqrt(5) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6393233 divided by -7\nAnswer: 913319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 8*1\/2. Let a be ((-400)\/(-195) + k)\/((-3)\/(-9)). Factor a*v**2 + 2\/13*v + 0.\nAnswer: 2*v*(v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - (-33 - -29)) + -30.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 8, 6*i - 99*f + 95*f = -6 - 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, q: 2, a: 1, i: 1}. Give prob of sequence all.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*r = -5*c - 1230, -r - 2 - 13 = 4*c - 3*c - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1 + (-5 + 3 + 5)*(-5 - 5 + 7))*(l - 5*l + l) in the form b*l + h and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/13)*j**(4\/13)*j**(-1\/2)*j**(-1\/12) assuming j is positive.\nAnswer: j**(-67\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, z: 3, w: 1, l: 5, r: 2}. Give prob of picking 1 r, 1 w, and 2 z.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - s + 1. Suppose 4*t - 1 = 3*t. Let z(p) = -4*p**2 + 8*p - 5. Determine t*z(l) + 5*v(l).\nAnswer: l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*m = 65, r + 2*r = m + 40. Let t = -3019 + 3166. What is the remainder when t is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28617564 rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1 = -9. Suppose r = 3*d - 4*r - 5, -4*d = -h*r - 4. Let t(x) = -x**3 + x - 5. Calculate t(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 41, 0.5, -2\/29?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0. Let r be (-1 + (-27)\/(-24))\/(5\/10). Let v = 3 + -2.9. What is the nearest to v in r, f, -1\/10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370 + -3 + (9 - 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2.71.\nAnswer: -8.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73794679 is divided by 1069488.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 61666.86937 to the nearest ten.\nAnswer: 61670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156 - 156.00000438. What is z rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1817 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2568.768l to millilitres.\nAnswer: 2568768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 5*b - 3. Let n(d) be the first derivative of -d**2 + 6*d + 2. Let y be n(5). Let a be (y\/(-10))\/(1\/(-10)). What is o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -128, 6839, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 5)\/(((-78)\/(-52))\/(6\/20)). What is the second biggest value in 1\/752, c, -1\/5?\nAnswer: 1\/752","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 2*x - 79 + 61, a + 3*x + 11 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4, 6, -0.4, 91, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*g**2 - 1624*g + 360.\nAnswer: 2*(g - 90)*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -101100011110000 (base 2) to base 16\nAnswer: -58f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -86. Let i = j + -58. Calculate the remainder when 37 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*l**4 - 59*l**4 + 36*l**4 + (1 - 1 - 2 - l)*(6*l**3 - 2*l**3 + 0*l**3).\nAnswer: 15*l**4 - 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Let i(f) = -11*f - 4. Let j(s) = 14*s - 17. Let l(r) = 43*r - 47. Let x(y) = -17*j(y) + 6*l(y). Let v(p) = -5*i(p) - 3*x(p). Give v(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4177992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -0.6, -5, 2\/9, -2\/19, -1376?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 2)*(-73*k + 165*k + 22*k + 75*k) to b + y*k and give y.\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 265392 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2 + 15936*s - 15933 = 0?\nAnswer: 1, 5311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-10\/9)*f*f*f)\/f**32 assuming f is positive.\nAnswer: f**(-262\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 3*q + 0*q)*(0*q + 0*q - q)*(-4 + 2*q**2 + 4) to the form c*q**4 + h*q**3 + y*q**2 + l + u*q and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*z - 12, 0*z - 6 = -2*v + 2*z. Let j = 2 - v. Let q(t) = -12*t + 1. Let a be q(j). Solve 0 = 3*f - a + 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*q - 13. Suppose -u - 9 = -3*j + 3*u, -2*j + q*u + 2 = 0. Suppose 0 = 33*x - 52 - 47. Solve -4*w + 4*i - 23 + j = 0, -12 = 5*w - x*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s - 3*s**2 - 7*s**2 + 6*s - s**2 to the form f*s**2 + g*s + v and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180966 >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -78 + 6687?\nAnswer: 660e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -168069 divided by -1\nAnswer: 168069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/15))\/(b\/(b*b**12\/b)) assuming b is positive.\nAnswer: b**(182\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -32. Suppose 5*o + 147370 = r*i, -4*i - 3*o + 5*o = -147364. Suppose -f + 404160 = -i. What is f rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8531666*w + 11*w**3 + 1 - 8531667*w.\nAnswer: 11*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/(150\/80)*1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 5. Let v be b(-4). Put 0, v, -6 in descending order.\nAnswer: v, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakklanlaonoaan. Give prob of sequence aa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 10*g**2 - 23*g - 19. What is b(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/4)\/m*(m\/((m*m*m**8)\/m))\/m*m**0*m\/(m**(-2\/3)*m*m) assuming m is positive.\nAnswer: m**(-133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzczcvczzzpzzzkzk. What is prob of sequence cck?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:24 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1509344230 to the nearest 1000000.\nAnswer: 1509000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -2 - -4 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3016 and 203.\nAnswer: 21112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 6*l**2 - 9*l + 24. Does 19 divide s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 14*j**2 + 20*j - 45. Let u be a(-12). Suppose u*n + 15 = 0, -2*d - 2*n + 195 = -19. What is the smallest common multiple of d and 20?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46139720 divided by 76264\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 - 9*x + 104. Let j be q(4). Solve 5*z + 4 = 2*h, 0*h + 2 = -j*h + 5*z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -13*k + 42. Calculate y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from edxddrexder.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6090, 52097, 176972, 420147, 821054?\nAnswer: 1419125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 4 - 4 + (0*l - l + 3*l)*(-2 - 2*l + 2) + 34*l + 14*l + 6*l**2 - 8*l**2 - 1.\nAnswer: -8*l**2 + 48*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 60. Let v(a) = 63*a**2 - 22*a**2 - 37*a**2. Determine v(g(f)).\nAnswer: 16*f**4 - 960*f**2 + 14400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 1046. Let x(v) = -4427*v. Determine n(x(p)).\nAnswer: 8854*p - 1046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*b - 172, 4*u - 3*b - 140 = -0*b. Let c(z) = 29*z**2 + 0*z**3 - z**3 - u*z**2 + 2 + 4*z. Let r be c(-4). Solve r*w = -0*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*l + 18 - 137, -4*l = 3*w - 61. What is the derivative of -62*r**2 - 35 + w - 39 + 15*r**2 wrt r?\nAnswer: -94*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 7*s - 4720. List the prime factors of s.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*m - 18, 4*h - 3*m = -0*m + 23. Let n be (-6)\/h - (1 + -7). Suppose -n*s - 1 = -7. What is the greatest common divisor of 16 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9166 - 9166.1. Which is the closest to -2? (a) -3\/247 (b) -10 (c) 2\/7 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3073174 divided by -5\nAnswer: 3073174\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 5 + 2 - 2 + l**2 - 2. Let r(b) = 4*b**2 - 9*b + 15. Let w(x) = 11*a(x) - 2*r(x). Determine w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-12 - 18 - 2 + (5 - 3 - 4)*(2 - 2 + 2))*(0 + 4*g + 0) + 2 - 2 - g + (0*g - 2*g + 0*g)*(-1 + 0 + 0).\nAnswer: -143*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3793312 - -3793760.1358. Let z = l + -448. What is z rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, 88, 167, 270?\n\"Answer: 12*b**2 + 19*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1970, 4006, 6106, 8270, 10498, 12790?\nAnswer: 15146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702611.1 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(720) + -4 + (2*sqrt(5))**2 + (-1*sqrt(450))\/sqrt(10).\nAnswer: 16 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) + 21\/(-10). Let j = 16.82 + 0.18. Let u = j + -17. Which is the closest to u? (a) 0.2 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73392, -293574, -660542, -1174296, -1834836?\nAnswer: -2642162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 63 = -2*i, 5*i - 2*d = 111 + 45. What is the highest common factor of i and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Suppose 6*v - s*v + 232 = 0. Let a = -38 - v. What is the smallest common multiple of a and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.099 + -0.09\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247*r**2 + 608*r**2 + 213*r + 4 - 5 - 278*r**2 wrt r.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:33 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5547081*m**3 - 11136955*m**2.\nAnswer: 33282486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 48, -3, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/787981, 0.3, 11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13358 - 0.09358. Let g = 0 - 1. What is the nearest to 0 in 4, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -7 - (-2)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 3:32 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.7621521 weeks?\nAnswer: 460949590080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/70 + 2\/5. Let z = 604 - 6646\/11. Which is the second biggest value? (a) x (b) z (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 4 + v + 3 + 1 - 18528*v**2.\nAnswer: -18528*v**2 + v + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-4 + 3 - 2). Let q(h) = -h**2 - 6*h + 3. What is the tens digit of q(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34097102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**3 - 4*b**2 - 2*b + 6. What is q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -13*y**2 - 3*y. Let t(b) = 25*b**2 + 7*b. Let x(c) = 3*t(c) + 7*w(c). Let g(l) be the first derivative of 4*l**3\/3 - 440. Calculate g(x(a)).\nAnswer: 1024*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 3*m + 5. Let c be i(2). Suppose 2*h + 3*w - 86 = 0, -c*h = 2*h - w - 215. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 27466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15899 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 300279545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 6*z = -456. Let n be z\/18 + (-12)\/54. Solve -4*u = -4 - n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/16 - (-119)\/28. Suppose -5*u + 79 = 9. Put u, x, -5 in descending order.\nAnswer: u, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-384)\/50912 + 5922\/(-5439) + 8\/7?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648007285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 136 = 36*h. Suppose 26743 = 2*o - 5*s, -h*o + 53525 = s + 2*s. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -61*c - 3. Let t be n(-2). Calculate the highest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83832299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -6, 7, 2 in increasing order.\nAnswer: -6, -4, 2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -535, -524, -501, -460, -395, -300, -169, 4?\n\"Answer: w**3 + 4*w - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 - 14*z**2 + 6*z - 3. Let x(p) = -7*p**3 + 32*p**2 - 12*p + 5. Let c(s) = -5*q(s) - 2*x(s). What is c(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (970*60\/350)\/(((-48)\/441)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 15086008.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129439? (a) -0.1 (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -2*w**4\/3 - 48*w + 3. Let x(g) = -11*g**2 + 8*g. What is x(z(i))?\nAnswer: -704*i**4 - 64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7293746, 7293743, 7293740, 7293737?\n\"Answer: -3*u + 7293749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*n = 179*n - 5*i - 46, 2*n + n + 54 = -15*i for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 5, -101 in descending order.\nAnswer: 5, 2, -7, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 6945*r**2\/2 - 6806*r + 7334. Find the first derivative of l(j) wrt j.\nAnswer: 6945","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 3*v = 3, -16*v = g - 14*v - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 529 - 4*r + 11*r - 530 - 6*r. Let m(a) = -a + 2. What is -m(u) - 3*o(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 21. Let k be a(-7). Let j = -1 - -7. Suppose k = j*q - 3*q - 21. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43.3996cm?\nAnswer: 433.996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20349 and 1581?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 551 + 51?\nAnswer: 5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z. Let f(i) be the third derivative of 29*i**5\/120 - 35*i**3\/6 + 61*i**2. Let a(v) be the first derivative of f(v). Calculate a(o(p)).\nAnswer: -58*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*d + (-3*d - 2*d + 3*d)*(-5 + 3 + 4) - d + d - 2*d - 2*d - 1 + 1)*(2 - 1 - 2) as a + k*d and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 29*o**8\/336 - o**5\/5 + 13*o**2. What is the third derivative of v(h) wrt h?\nAnswer: 1740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3022737 (base 8) to base 11\nAnswer: -4a4162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/(-3))\/(1\/1). Let a be (-4)\/10 - 26\/n. What is the units digit of 1\/(0 - a\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y. Suppose -3*l + 3 + 0 = 2*t, l + 10 = 3*t. Let o(d) = -t*d + d + d. Determine x(o(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/12*3)\/(-1). Suppose f*j - 2*y + 48 = 0, 0 = -5*j - 3*y + 20 - 73. Let v = j - -13. Which is the smallest value? (a) 2 (b) v (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(720) + sqrt(720) + -1)**2 + sqrt(720) + sqrt(720)) + sqrt(720) - (5 + sqrt(720)*3).\nAnswer: -48*sqrt(5) + 2876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-167)\/(-13) + (-2)\/(-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - 0.2. Let f = 1103 + -1555. Let p = f + 447. Which is the third smallest value? (a) 1\/3 (b) x (c) -1\/4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9662798 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241 - -239. Let d be (-13 - -14)\/(i\/(-8)). Solve d*n + 10 = -2*s, 0 = -s + 3*n + 9 - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4128.06t in micrograms?\nAnswer: 4128060000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 9. Suppose g*s + 2*b - 120 = 6*b, -5*b + 48 = 2*s. Suppose -56 = -z - s. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 681\/75 + (-180)\/20.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/504 and -63\/1370?\nAnswer: 345240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744675?\nAnswer: 3, 5, 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5*sqrt(700)*-2 - (4 + sqrt(700) + -1))**2 - (sqrt(56)\/(-2*sqrt(2)) - sqrt(28))\/(sqrt(44)\/(sqrt(99) + sqrt(11) - sqrt(11)))).\nAnswer: 1329*sqrt(7)\/2 + 84708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1671*p + 635*p + 281*p + 222*p.\nAnswer: -533*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:11 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1179.815 + -37895804.\nAnswer: -37894624.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21 and -2011365269?\nAnswer: 2011365248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17714.5 + 17715. Which is the smallest value? (a) t (b) 44 (c) -0.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -766 (b) 2\/23 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.004345706 - -0.033253701. Let w = n + -0.0376. What is w rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 9*p**2 + 9*p - 9. Let s be d(-10). Let z(a) = 4*a - 5. Let u(m) = m - 1. Calculate s*z(k) - 3*u(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -6)\/((-6)\/3). Suppose -36 = a*n - 5*n. Find the second derivative of 11*f - 2*f + 4*f + n*f**5 wrt f.\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 2*u = -20. Suppose 0 = -3*c - u*p + 9 + 7, -3*c - p = -31. What is the remainder when 46 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65016*f**3*g**3*q - 80*f**3*g**3 - f**3*g - 4*f**2*g**3 + 2*f**2*g - 51*f**2 - 462*f*g**3*q - 77 wrt q.\nAnswer: 65016*f**3*g**3 - 462*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9*k + 2*k + 2*k)*(1 + 0 - 1374*k**2 + 1351*k**2).\nAnswer: -299*k**3 - 46*k**2 + 13*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2959607\/90 + -32884. Find the common denominator of z and 29\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/10 and 39\/46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 8:03 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -b218?\nAnswer: -b219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8930 and 16638?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imzsmismmpsysp. What is prob of sequence yzpm?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (125*x - 135*x + 6 - 143*x)*(0*x**3 + 0*x**3 + x**3) as c*x**4 + m*x + b*x**2 + g*x**3 + t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g + 231. What are the prime factors of g?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 119\/(-140) - (-2)\/8. Let l = -7 + 11. Let a = 1 + 2. Put i, l, a in descending order.\nAnswer: l, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d97 (base 16) in base 7?\nAnswer: 225422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2006740 and 1004116.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**3 + 2*m**3 - 6*m**3 + 11*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498278*d - 498278*d + 55*d**2.\nAnswer: 55*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244198 is divided by 346?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44.5558494*-0.4.\nAnswer: -17.82233976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3689, -3680, -3659, -3620, -3557?\n\"Answer: o**3 + 2*o - 3692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 633655 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - 2*j**2 - 3*j**2)*(7*j - 4*j - j) - 68 - 35*j**2 + 69*j**2 - 39*j**2 - 2*j**3 to o*j + w + d*j**2 + k*j**3 and give w.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2275766, -2275786, -2275840, -2275946, -2276122, -2276386, -2276756?\n\"Answer: -3*g**3 + g**2 - 2*g - 2275762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**4\/8 + 2*t**3\/3 - 9*t**2. Let r(s) = -5*s - 6. Give 8*l(d) + 5*r(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 492550 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 17*c**2\/2 - 2*c - 18. Let n(o) be the first derivative of 11*o**2\/2 - o + 118. Calculate 8*n(x) - 5*s(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -14. Suppose -4*l - 25 = 2*h + q*h, h = -3*l - 5. Solve l*y + 1 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.7 - 7. Let u = n - 1. Let h = 50\/3 + -18. Sort u, h, -3 in descending order.\nAnswer: u, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295848978.\nAnswer: 2, 3, 401, 122963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 0 + sqrt(891) + 5)*5*-6)**2.\nAnswer: 162000*sqrt(11) + 891900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/3*-12*(-44)\/(-1584)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**2 - 45*d**2 + 8 - 8.\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10011221211201 (base 3) to base 2\nAnswer: 110011101000011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zad when three letters picked without replacement from dccdcazcc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6021633 (base 8) in base 9?\nAnswer: 2871054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293107677 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 753.\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 24*q**2 - 48*q**2 + 1 + 13*q**2. Give d(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 15. Let k(o) = -3*o**3 + 2*o**2 + 2*o - 6. Let w be k(z). Let u = w + 32. Calculate the lowest common multiple of 2 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*x = -17, -z + 4 = z - 4*x. Factor 8*s**2 - 54*s + 54*s - z*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*-2*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 + -121. Suppose -n = -y + 14, -15*n = 3*y - 16*n - t. Solve -5*v = -4*w - 21, -3*w + 3*v + y = 5*v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 978, 1071, 1304, 1743, 2454, 3503, 4956, 6879?\nAnswer: 9338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12618\/45 - -1*6\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 976017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 3*i - 9, c - 2*i + 15 = 2*i. Let f be (-3)\/(1*(c + -2)). Factor 56*j**2 - 24*j - 72*j**f - 7*j**2 - 17*j**2 + 34*j**2 + 3 + 27*j**4.\nAnswer: 3*(j - 1)**2*(3*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from aaaaaaaadaqai.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 55 - 24 - 29. Let g be s(2). Solve -v = -3*h - 11, g = -4*v - 2*h + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/35)\/((-4)\/14). Let y = 3655 - 3655. Solve 8 = w + b*w + 5*d, y = w - d - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6) - 2)*-16. Suppose 8*j - 8 = w. What is the third derivative of -10705*t - 23*t**2 - j*t**5 + 10705*t wrt t?\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*c + 367*c = 1957 + 416 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n - 3. Let t(k) = 23*k - 8. Let g(m) = -17*f(m) + 6*t(m). Let i(s) = -6*s - 10. Let w(p) = 8*p + 118. Let c be w(-16). Determine c*g(x) - 3*i(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + q**2 - 86*q - 6. Give o(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537094 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35\/33 in -0.5, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:10 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 11:45 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6721 - 7\/((-77)\/(-88))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1195*j. Let z(x) = 2676*x + 32. Calculate z(f(g)).\nAnswer: -3197820*g + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.183 and 2867?\nAnswer: 524.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 4. Let o(p) = p - 1. Let a(t) = t**2 - 13*t - 17. Let w be a(14). Suppose 0 = s + 2 - 1. Calculate s*d(m) + w*o(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119286.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97015.18 meters to millimeters.\nAnswer: 97015180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 2 - 2 + 3*b**2 + 0*b**2 + 14*b**2 + (-1 + 1 - 2*b)*(0*b + b + 4*b) as p*b + x*b**2 + g and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20179 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 - (0 - (-30 + 1))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 34*a**2 + 28*a - 2. Let m be i(-4). Let g(v) = -4*v + 7. Suppose 2*j + 4 = -14. Let r be g(j). Calculate the highest common divisor of m and r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -522.43861 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0378*1.\nAnswer: 0.0378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -13. Let o be (-243)\/(y*(-15)\/(-10)). What is the units digit of o\/4*-5*(-6)\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 334 = 226. Let w be (-13 + 5 + z)*19\/(-2). Let p = 0.24 - -0.06. What is the nearest to 0 in 0.5, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2696*o**2 - 2697*o**2 + 2602*o - 820*o + 0*o + 0*o + 3*o**2 + (3 - 1 - 3)*(3*o - 3*o - 2*o**2).\nAnswer: 4*o**2 + 1782*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 = -2*g, 3*g + 7 = 2*k + 24. Suppose -4*n = -t + 49, 5*t - 95 = g*n + 99. Solve -r + 2*r + 10 = 5*s, 4*s - t = -5*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 2, e: 2}. What is prob of picking 1 e and 1 k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + -3 - 2 - (-8 - -18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 - 4*y - 1. Let p(q) = -125*q**3 + 445*q**2 + 20*q + 5. Let l(z) = -25*a(z) - 5*p(z). What is the third derivative of l(w) wrt w?\nAnswer: 3300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 2\/9, 17, 1\/11, 0.5 in descending order.\nAnswer: 17, 0.5, 2\/9, 1\/11, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, 7, 129, -4, 1.\nAnswer: -4, 0, 1, 7, 11, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 110 + 132 - 67 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -9. Suppose 5*o + 4*m = -38, 2*m - 24 = z*o + 2. Let n(p) = p**2 + 4*p - 3. Calculate n(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 2\/45*x**6 - 1\/9*x**4 + 1\/63*x**7 - 1\/9*x**3 + 0*x**2 + 0 - 7*x + 0*x**5. Factor y(m).\nAnswer: 2*m*(m - 1)*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f. Let u(x) = -12*x. Give 16*b(h) + 5*u(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14618 * -9541.\nAnswer: 139470338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211211 - 10?\nAnswer: -211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmkkmqeqmeqemcqqq. Give prob of picking 1 k and 1 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/68)\/((-5)\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24718711.300618 - -24718675. Let c = a + 36.3. Round c to five dps.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y - 12. Let w be g(-5). Suppose n - 6*n = 2*c - 292, w*n + 3*c = 177. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42)\/18*(-12)\/7. Which is the closest to -0.1? (a) -4 (b) k (c) 0 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 262146 * 0.5.\nAnswer: 131073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*v + 2*z, -2*v + 3*v + 5*z - 39 = 0. List the prime factors of (v + 11)*(2 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -3\/2, -1\/12, -0.39, -642?\nAnswer: -642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 449532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-2)\/(6\/(-3))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/(128\/640)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14 + -1 - -2*14\/7. Let z(w) = -93*w + 46. Is z(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5102959 months to decades.\nAnswer: 0.0209191325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48594967522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -765092.5999622 + 765092. Let g = y + 0.6. What is g rounded to six dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.96 + -4. Let z = -0.06 + s. Let y = 165.81 - 165.41. Which is the closest to z? (a) -0.2 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {z: 2, p: 2, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/510*5\/2\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13385 - 13110. Calculate the greatest common factor of l and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apkzpfku. What is prob of picking 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from {u: 6, m: 2, a: 2, v: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3020*b. Let l(m) = -41*m. Determine i(l(w)).\nAnswer: 123820*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - s = -5*s + 100, -4*s = -3*n + 140. What is the units digit of (-3 + n + 2)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:31 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6 - 2 - 2 - 3 - 2*l + 0. Let y(o) = 3*o. Let m be (3\/(-5))\/((-1)\/(-5)). Calculate m*y(t) - 4*v(t).\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21600\/(-875))\/12)\/((513\/(-133))\/9).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 + 84*o - 430. What is the remainder when 110 is divided by n(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*b - 6 = -0*b, -2*q = 3*b - 16. What is p in p**5 - 2*p**4 + 4*p**2 - 2*p - 4*p + 4*p**3 - 3*p**5 + 4*p - q = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i - 2*i + 1)*(11*i + 4 + 0*i - 3).\nAnswer: 11*i**2 + 12*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7))**21)**49*(p**(-2))**(-5)*(p*((p**1*p)\/p)\/p)**(-2\/17) assuming p is positive.\nAnswer: p**(-4830\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:25 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0) + (-11 - -16) - -5. What is the smallest value in -2\/13, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12716989 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, -2, -4 in increasing order.\nAnswer: -4, -3, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**3*o)*(o\/(o**(-9)\/o*o))\/o)\/(o*o*o*(o*o\/(o*o\/o**2))\/o*o\/o**(-6)))\/((o**0\/o)**(-24)\/(o**(2\/7))**8) assuming o is positive.\nAnswer: o**(-187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 996984480 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h - 31*h - 20 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h + 2*h**5 + 5*h + (2*h**4 + 2*h**4 - 3*h**4)*(0*h - 2*h + h) - 2*h**5 + 5*h**5 + 8*h**5 + (-4*h**4 + 3*h**4 + 2*h**4)*(1 - 1 - 2*h).\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g**2 + 6*g - 3. Let o be d(-2). Put o, -2, -1, -15 in descending order.\nAnswer: -1, -2, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000001001101 (base 2) to base 13\nAnswer: -39c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4027\/167 at least as big as -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*a + 326*a + 277*a = 91*a - 93912 for a.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600446154?\nAnswer: 2, 3, 7, 11, 17, 89, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 64*r**3 - 12*r**2 + 2200*r + 3872.\nAnswer: 4*(r - 11)**2*(r + 2)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*y + 53*y + 45*y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(75) - (1*sqrt(75) + sqrt(75))) + sqrt(75) + 1))**2*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 10:57 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 35 + 59 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1082, -2209, -3412, -4727, -6190, -7837, -9704, -11827?\nAnswer: -14242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(-2*sqrt(12)) + -6*sqrt(5)*1)**2.\nAnswer: 845\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -97, -195, -339, -523?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 722, 1449, 2176, 2903, 3630, 4357?\n\"Answer: 727*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*k + 26, 3*k + k - 58 = -2*n. Suppose 0*p - 3*p = 3*t - n, t - 19 = -5*p. Solve c**4 + 3*c + 3*c**3 + 0*c**2 + 2*c - 4*c**3 - p*c**2 - 2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23770 - -23770.10371. Round d to three dps.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -182503 + 50*q**3 - 70*q + 34*q**4 + 182743 + 13*q**4 - 305*q**2 - 2*q**4 = 0.\nAnswer: -3, -1, 8\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/5 - 23*j**4\/5 + 132*j**3\/5 - 44*j**2 + 112*j\/5 = 0. Calculate j.\nAnswer: -28, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*k + 121*k + 100*k - 99*k**5 wrt k.\nAnswer: -1980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -5517?\nAnswer: -5516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 27*s + 29 + 42 + 28*s to r + c*s and give r.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 29\/201?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/25)\/(2559\/(-345) - -7) and -71\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 56 = -o. Let k be 170\/(3 - -7) + 0. Suppose k*p - o*p = 252. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18272, 36541, 54822, 73121, 91444, 109797, 128186, 146617?\nAnswer: 165096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*h - 27 = -4*h, 4*o - h + 21 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 4, -1083, 73?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -63*m**2\/2 - 28*m - 212. Does 7 divide q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 275 divided by 7\nAnswer: 275\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 10*v - 3. Let c be g(11). Suppose -15 = -f + c. Solve -5*l = -b - 22, -3*l + f = -4*b + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 6) + 10 + -14 + 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 4*j - 24, -5*j - 32*x + 29*x + 35 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from ppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**6\/15 - 4*f**4\/3 - 88*f**3\/3 + 327*f. What is the second derivative of a(x) wrt x?\nAnswer: -24*x**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -h + 26. Suppose t = 5*a + h, 4*t + 6*a - a = 10. Let d be 45\/25 + 1\/t. Solve -5*i - 1 = -4*i + 3*q, -14 = -d*i + 2*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 16, -1329, -0.2?\nAnswer: -1329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/15 - 1 - (-2)\/5. Suppose -4*a - 2*z = -7*a + 19, -38 = -i*a - 5*z. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1836 (b) -23 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150.703 + -0.297. Let h = i - -150. Is h less than or equal to -2\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183327 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38227?\nAnswer: 7, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**5\/10 + 62*p**2. Let c(b) = -b + 0*b + 0*b. Give u(c(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.5 (c) -63 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-1)\/z)**(-39))**(8\/5))**16)**(-1\/27) assuming z is positive.\nAnswer: z**(-3328\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 56.464. Let o = u + 0.43. Round o to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 4*r**2 - 8*r - 17. Suppose -60 + 100 = 4*u. What is the units digit of z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 5. Let h be r(-8). Suppose 0*w + h*w = 3*o + 15, -2*w + 30 = 2*o. Solve 5*a = 3*a - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 + 1128*p**2 + 5085021*p\/4 - 5094049\/2.\nAnswer: (p - 2)*(p + 2257)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, k: 1, s: 1}. What is prob of sequence kscc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2125 divide 893479891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161216085 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8230 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3678052.\nAnswer: 2, 7, 17, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 1 + 8. Let f(v) = -v + 2*v - 1 + 0*v. Let b(i) = -19*i**2 - 11*i + 4. Let r(c) = x*b(c) - 4*f(c). What is the second derivative of r(m) wrt m?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:11 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3333340*i**2*s**2 - 3*i**2*s - i**2 - 20684769*i*s wrt s.\nAnswer: 6666680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + s + 3. Let k be (-3)\/(-2) + ((-2)\/4 - -1). Let q be (-3 - (3 - 6))\/k. Calculate h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*16\/(-140) - (-58)\/145.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 23 - 51 = 0. Solve 3*t - o*t = -4*c, -9 = -3*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28\/10 + (-7)\/(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736884 to the power of 1\/2, to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -141004591 or -141004592?\nAnswer: -141004591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a = 3*g - 20, 0 = -2*g - 4*a + 16. Suppose -5*w = -20, g*w = 4*o - o - 101. Let s = -126 - -140. What is the remainder when o is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 9*w**4\/2 + 1173664*w**3 + 521619*w**2\/2 - 1173664*w - 260814 = 0.\nAnswer: -260814, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/49 (b) -3\/2 (c) 5 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 38*w**2 + 47*w + 321. Let x be j(-39). Solve r - 4*p = 7, 2*r - 2 = p - x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3094266697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 + (1 + 903159)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 1811*i + 1816*i - 32, -2*f - 4*i = -24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/3, 3236, -4, 7.2 in descending order.\nAnswer: 3236, 7.2, 1\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19262 + 30457. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555\/43 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 23*n**7\/14 - n**6\/10 + n**4\/6 - 73*n**3 - 413*n + 1. Find the third derivative of r(a) wrt a.\nAnswer: 4140*a**2 - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115452 is divided by 176.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + c - 52 = 0, -3*o - 5*c + 4*c = 88. Let m = 33 - 19. Is (-5060)\/o - (-4)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379621 a multiple of 1527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 889*f**3 - 21*f**2 - 67*f + 24. Let r be d(-24). What is r rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 2250?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 85 + 4795*m**2 - 4793*m**2 - m + m - 2*m**3 as w + r*m**2 + s*m + u*m**3 and give w.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/13*l**3 - 4\/13*l + 18\/13*l**4 - 18\/13*l**2 + 8\/13*l**5 + 0 = 0. What is l?\nAnswer: -2, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 26*l**2 - 68*l + 1763. Determine p(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23968 - 19918 = -162*a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29949 * -0.02.\nAnswer: -598.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 73\/(-5) - (-817 + 803)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458783531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4*-3.132\nAnswer: 12.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8932 + 8951. Solve 5*w = -h + a, 0 = 95*w - 92*w + 5*h + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*147\/42.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 28*y**2 - 3*y - 20. Let a be k(-28). What is the third derivative of -a*z**3 + 56*z**2 - 187 + 9*z**3 + 187 wrt z?\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7*i - 10. Let w be i + (0 + 2 - -2). What is the second derivative of 2*v - w*v**5 + 0*v + 5*v**5 wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a gram in milligrams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*v - 5*i, 25 = 2*v + v + 4*i. Suppose 2*w - 326 = -5*h - 120, -335 = -v*w - h. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 21 = -5*w, 0 = 4*s - 2*w - 8 - 4. Let n = 387 + -385. Put n, s, 6, -5 in decreasing order.\nAnswer: 6, n, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 7:30 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 749570053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g = -12. Suppose -q - u - 4 = -2*q, g*u + 12 = 5*q. Solve -p = -q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 7*m**2 + 6*m + 4. Let a be l(6). Let z be (a\/(-9))\/((-6)\/9). Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19311 rounded to 3 dps?\nAnswer: -0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -171, -836, -1999, -3666, -5843, -8536, -11751?\n\"Answer: -g**3 - 243*g**2 + 71*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1561582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 139. Suppose g*f = 15*f. Suppose -3*q - q - 1465 = -p, f = -4*p + 2*q + 5902. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (8 + 8 + -8 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 12. Let m(u) = 2*u - 25. Let j(t) = 2*m(t) + 5*q(t). Let w be 6\/(-15) + (-54)\/(-10). What is the units digit of j(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052.724 plus -0.75?\nAnswer: -1053.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + t - 3. Let i be u(0). Suppose 2*n + 5*b - 2*b = 3, -5*b - 15 = 0. Let m(g) = -n*g + 3*g - 2 + 5*g. Determine m(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(500))\/(6*(sqrt(36) + sqrt(4))) - -5*sqrt(60)\/(-4*(sqrt(12) - sqrt(108))).\nAnswer: 5*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 26. Let t(z) = -23 - 3*z - 29 + 52. Determine r(t(x)).\nAnswer: -3*x + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119)*-1 - sqrt(119)) + sqrt(119))*4*-3*3)\/((-5*(sqrt(77) - sqrt(77)*-2) + sqrt(77))\/(sqrt(22)\/sqrt(2)*-3))*-1.\nAnswer: -54*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*k - 28 = 3*k, -5*k = -i + 16. Let n(h) = 22*h + 5. Let b be n(i). Suppose -b = -p - 9. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times -28489\nAnswer: 39884.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5. Let g(l) = -4. Let k(j) = -6*g(j) + 5*i(j). Let r(m) = 2*m**2 + 12. Give -10*k(b) - r(b).\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48845313 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -384 - -57. Let g = -54 - o. What are the prime factors of g?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 + 6*t**2 + 6*t**2 + (5*t + t - 4*t)*(4*t - t - t) to the form i*t**2 + z*t + y and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3 - -2)\/1)\/(3 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-1))\/(-2*1). Suppose 0 = i - 6*i + 20. Suppose i*t - 80 = -3*q, 4*t = -2*q + q + 40. Solve 4*j + 0*j - q = g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f - 4. Is h(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 7*y**2 - 6*y - 2. Let a be m(6). Suppose 11 - 5 = 2*n. Let q be -1 - n*a - 0. Solve q = -2*i + i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12909063971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 18*o**2 - 4*o - 13. Is a(-18) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-250*w + 478*w - 241*w)*(7*w**2 + 29 + 21*w**2 - 24*w**2) as l + i*w**2 + r*w**3 + t*w and give r.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 5 in descending order.\nAnswer: 5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9199, 9197, 9195?\n\"Answer: -2*p + 9201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -28*v - 21. Let h(a) = -a - 7. Let m(p) = 3*h(p) - z(p). Let n(f) = -5*f**2. What is n(m(q))?\nAnswer: -3125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -88 and -189.32?\nAnswer: 101.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 0*m + 5*q = 20, q = -5*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p = -242 - 64 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f + f - 273. Calculate the least common multiple of 18 and f.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q - 5. Let u(v) = -8*v + 5. Let g(b) = 7*h(b) + 6*u(b). Let d(k) = 1. Determine 4*d(r) + g(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/582732 and -41\/7138467.\nAnswer: 28553868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**3 + 927*j**2 - 248149*j.\nAnswer: -24*j + 1854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 1a1a0?\nAnswer: -1a1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*y - 24, 0*y + 3 = x - 3*y. Suppose -x = 20*z - 16*z. Let j(q) = -2*q**2 + q + 8. Let r(s) = -s**2 + 3. What is z*j(n) + 8*r(n)?\nAnswer: -2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t + 5*s - 27, -48*t + 11*s = -50*t - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 16317*t + 4 + 16323*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 626*w**2 + 3110*w + 6. Determine o(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46286219?\nAnswer: 7, 241, 27437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-3))\/((8\/(-1))\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 301?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**2\/2 - 7*h + 12. Give p(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443115.\nAnswer: 3, 5, 43, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 8, 0 in decreasing order.\nAnswer: 8, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*k**2 - 72*k**2 - 174*k**2 + 1 + 8*k**2 + 83*k wrt k?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -98*v - 886. Let b be i(-16). Calculate the greatest common divisor of 155 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 9. Let j be m(0). Let w(k) = 3. Let p(u) = u + 13. Determine j*w(f) + 2*p(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/((-15000)\/(-3150))*(2\/(-6))\/(4\/12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3426 - 311335?\nAnswer: -305707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/10)\/(52\/((-5460)\/63))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/11, -3, -0.5, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 - 3*h**2 - 2*h + 6*h**2 + (h - 2 + 2)*(-h - 4*h + 2*h) + 3 - 3 + h**2.\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((1\/(-28))\/((-22)\/(-385)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**5 - 9*r**4 - 30*r**3 - 6*r**2 + 27*r + 15 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/((-2)\/4). Let v be (-2 - (-24)\/3) + m. Suppose l + v*k = 22, 2*l + k - 31 = -2*l. Calculate the least common multiple of l and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 17640 = -63*w. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10*1*2. Let y = -0.3 - 0.2. Which is the nearest to f? (a) y (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 579\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 2*i**2 - 4*i - 3. Let o be k(-3). Let h(t) = t - 54000. Let w be h(o). What is w rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(21\/(-315)*5\/(-2)). Solve 5*g = -4*l + y, -3*l + 20 = 4*g - 2*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 463 - 459. Let s be (-74)\/(-6) + 0 + t\/(-12). Which is bigger: s or -6\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31787\/(-478)*(12\/105)\/(-1) and 8\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3517435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1621, -4226, -7885, -12598, -18365?\nAnswer: -25186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 + -17)\/(3\/2). Let b = 19 + c. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Suppose -4*l = b - 83 + 14, 0 = -3*l - 3*b + 63. Suppose l - 10 = 3*j. Solve y = -y - 2*s, j = 3*y + h*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = -2*i. Let q = -3 - i. Let x(b) = -b**3 + 49*b**2 - 223*b + 141. Let r be x(44). Is r greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(1513\/34 - 45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g - 28*g = 427 + 698 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)\/(z*z**(2\/9))*(z**(-3))**39 assuming z is positive.\nAnswer: z**(-1118\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 38. Suppose 0 = -3*a + o*h + 22, -h = -7 + 6. Is a < 28\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32703017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -984 times 0.85\nAnswer: -836.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/580*10)\/((-1)\/(20\/(-6)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1451 and 5.\nAnswer: 7255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -73, -157, -273, -421?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 (base 9) in base 16?\nAnswer: 8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-58803)\/(-68))\/((-21)\/(-56))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3586 to the nearest ten.\nAnswer: -3590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 74\/7 of a week?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432381?\nAnswer: 37, 38713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -32581.7648 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2840.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 2*m - 1. Let u be (-12)\/4*1\/1. Let h be f(u). Solve -4*i = -a - 19 + 1, -h*a - 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5319453 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 235.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10728 = -55*i - 6432. Let j be (5\/((-90)\/i))\/((-2)\/(-660)). What is j rounded to the nearest 100?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/6)\/(16\/24))\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0 + 0*n + 2*n**2 + n**3 + 1\/60*n**5 + 7\/24*n**4. Let c be d(-7). Solve -z - z - c = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.57 - -16.77. What is the smallest value in -3, k, 69\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 81. Put 14, -1, n in decreasing order.\nAnswer: 14, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-12))\/675*24\/(-4)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26567, -26553, -26523, -26471, -26391, -26277, -26123?\nAnswer: -25923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 4*j + 4*j)*(j**2 + j**4 - j**2) - 3*j + 3*j + 3*j**5 + (0*j**2 - 2*j**2 + 3*j**2)*(-j**2 + 2*j**3 + j**2).\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - b + 1. Let z(o) = -2*o**2 + 10*o - 1. Determine p(v) - z(v).\nAnswer: v**2 - 11*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 4*k**2 + 5*k + 3. Let y be a(-5). Suppose 7 = 2*d + 3. What is the third derivative of -n**4 - n**2 + 3*n**d - y*n**2 wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2))**(-14))**1\/((p**(1\/2)*p)**37)**(2\/35) assuming p is positive.\nAnswer: p**(134\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1067)\/(-121) - (6\/(-12) + 95\/10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**3\/3 + f**2\/2 - 108*f + 820. Determine h(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g - 3227. Let d(o) = 5*o - 3212. What is -7*d(t) + 6*n(t)?\nAnswer: t + 3122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 73180163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**2 + 9*n**2 - 12*n**2 - 10*n**2.\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxg when three letters picked without replacement from xxggx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.19 + -8.19. Sort -2\/11, n, 0, 2\/7 in ascending order.\nAnswer: n, -2\/11, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*g - 64 = -4*j, 3*j = -5*g + 58. Calculate the common denominator of (-8)\/(-60) + j\/30 and -11\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 12 = 0. Let r(n) = -n. Determine r(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 2. Let r be l(-4). Suppose 5*h = n - 3 - 13, -h - 12 = r*n. Let f = 1.45 - 1.75. Sort -2, n, f.\nAnswer: n, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1020347*-1.\nAnswer: 1020347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15212 divided by 3056?\nAnswer: -3803\/764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22833.\nAnswer: 3, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/27619 + -3011271\/4419040. What is the common denominator of -187\/1800 and a?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/7)*u*u)\/((u*u**(-20\/9))\/u*u) assuming u is positive.\nAnswer: u**(284\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -20. Suppose -3*q + 5 = -p*q. Sort q, 2\/3, 0.3 in descending order.\nAnswer: 2\/3, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**5 - 2319*i**4 + 2286*i**3 + 23172*i**2 - 9192*i - 55584 = 0.\nAnswer: -2, 2, 3, 772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.2716 rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**4\/4 - 5*r**3\/3 + 3*r**2 - 3*r + 58. Calculate c(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693 times 3.503?\nAnswer: 5930.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*a + 4810 - 5258 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/180 - l**5\/30 + 4*l**3\/9 + 72*l**2 + 3*l. Factor j(q).\nAnswer: -2*(q - 1)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 4*b - 3462 = -4822 for b.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 10:24 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -551*p - 1. Let q be j(-1). Suppose -4*y + q = 146. Suppose -y + 389 = -2*v. Round v to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 110764*k - 1329171. Calculate x(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 749520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a898 (base 15) to base 8.\nAnswer: 413357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -8*h**3\/3 - 132. Let p(y) = y + 2. Let x(u) = u + 1. Let g(q) = -2*p(q) + 4*x(q). Calculate g(k(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v**2 - 2*v - 1. Let p be n(-1). Let j = 21 - p. Solve 3*m - 2*y - j = 3, -3*m = -y - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6841.452l?\nAnswer: 6841452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 7*q + 6. Let l be u(-6). Let v = l - 9. Solve 5 = 2*r + v*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 1. Let a be w(3). Suppose 2*f - 4*v = a*f - 30, 2*f + v - 21 = 0. Let m be ((-3)\/f)\/(1\/(-3)). Which is smaller: m or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -17, -32, 20 in descending order.\nAnswer: 20, 9, -17, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.1 + -3. Let m = i - -0.1. Let v = m + -0.1. Which is bigger: -0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47025 and 0.088?\nAnswer: -4138.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11*d + 51. Let u be s(-5). Let n be 200\/90 - u\/(-18). Suppose 2*v - 184 = v + n*l, 4*l = -v + 172. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 82, 1\/4, -110?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/567 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 2\/5 (c) 2\/7 (d) 0.221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1093, 2204, 3337, 4492, 5669, 6868?\n\"Answer: 11*t**2 + 1078*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -37 in descending order.\nAnswer: 5, 4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 0*b + 2*p = 18, -b = 725*p - 727*p + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002200 + -2101?\nAnswer: 1000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 29*j**2 + 6*j + 141. Calculate r(7).\nAnswer: 1604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 9.12. Let w = i - -5.12. Which is the third smallest value? (a) w (b) 0.5 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.6 - 4.3. Which is the third smallest value? (a) 3\/4 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35068, -70147, -105226?\nAnswer: -140305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, -53\/2, 0.37, 0.2, 2, -1\/3, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4 + -1*sqrt(3))*-2)**2.\nAnswer: 24*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88 + 48 - -49) + (3 - 36) + (-2 - 7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110000010101 (base 2) to base 5.\nAnswer: 2004030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8410 and 36163.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245224 is divided by 42.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/5 (b) -3 (c) -2183 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 + 26 = 0. Let v = -1 - u. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2285\/76 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (144 - 51) - 36.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 3*r - 10. Let a = 73 + -69. Let i be q(a). Calculate the highest common divisor of 72 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 8*s - 247. Calculate k(19).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387014?\nAnswer: 2, 193507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49 or -66?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-16))\/(96\/256). Which is the second smallest value? (a) 3 (b) 4 (c) -0.1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 7:46 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q - 5*q**3 + 179*q**2 + 2*q**3 + 4*q**3 + 639*q**2.\nAnswer: q**3 + 818*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 30 = y. Put y, -4, 0, -3 in ascending order.\nAnswer: -4, -3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -84?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -291 - -296. Suppose -5*d + 9444 = -u, u = 7*d - q*d - 3780. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 365*t**2 + 710*t.\nAnswer: 5*t*(t - 71)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (-43 + 16 - 31 - -28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 33012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(95)*-1)\/(sqrt(60)\/sqrt(192)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5\/4 + 2*t**4 - 41*t**3\/4 - 127*t**2 - 341*t - 280 = 0?\nAnswer: -7, -5, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxjt when four letters picked without replacement from {x: 3, s: 6, j: 3, t: 5}?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:50 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 252 - 58. Suppose 189*n = i*n - 3055. List the prime factors of n.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -172835 to the nearest 1000.\nAnswer: -173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/(-145) - ((-1122)\/(-720) - (0 - -1))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d + 6. Let r be g(5). Suppose -r = -2*l - l. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 10:11 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = p + 4*x, p - 26 = -3*p + 5*x. Let f(l) = l - 4. Let y be f(p). Suppose -5*r = y*u, -3*r - r = u + 15. Let q(a) = a**2 + 3*a - 7. Determine q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4431, 4527, 4625, 4725?\n\"Answer: c**2 + 93*c + 4337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Let a(z) = -2*z + 5. Let p be (-2)\/(-9) + 29\/(-9). Let q be (-1)\/p - 4\/3. Let w = 66 + -60. Calculate q*a(v) + w*l(v).\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37819*o**2 - 39972*o**2 + 91273*o**2.\nAnswer: 89120*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -15*b + 34. Suppose 23*u - b*u + 8679 = 0. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16029*m**3*o + 21*m**3 + 376*m + 4*o**2 wrt o.\nAnswer: -16029*m**3 + 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-44)\/(-286)*39*-2*(-7)\/4. Solve -820*x + 823*x - i = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 129, 218, 311?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14\/1*((-12)\/18)\/((-76)\/(-114))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4009)\/(-4220) - 2\/16*-2.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13)*r**(-18))\/(r**(4\/5)*r**2*r) assuming r is positive.\nAnswer: r**(-174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7620523*o + 6328959 wrt o?\nAnswer: 7620523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 393*r + 319. Let d be j(-1). Let u(v) = 36*v**2 + 2*v. Let p be u(3). Let g = p + d. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16957*g**2 - 61780*g**2 - 35343*g**2.\nAnswer: -114080*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 116.6341 centuries?\nAnswer: 1166.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/14 and -49\/806.\nAnswer: 5642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033357 is divided by 306.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9189? (a) -0.7 (b) 1 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-6)\/(-9)*6. Let f(x) = -x**3 + x - 1. Give f(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7\/860 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11369163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506, 1007, 1508, 2009, 2510?\nAnswer: 3011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43404 + -33?\nAnswer: 43321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 21. Let o be (11 - -1)*h\/4. Let r(k) = 2*k**3 - 4*k**2 - 5*k - 2. Let a be r(4). Calculate the highest common factor of o and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 - 140. Which is the second biggest value? (a) 0 (b) 2\/21 (c) 1.6 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1203 - -10682?\nAnswer: 11885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(363))**2 + sqrt(363)).\nAnswer: 55*sqrt(3) + 1815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, n: 5}. Give prob of sequence nl.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(30)\/sqrt(384))*4)**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 30012?\nAnswer: 23332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-1 + 3))*-5. Let u(d) = d**2 - 4*d + 5. Let x be u(5). Solve -5 = -g*v + x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5782*i = -2955*i - 2887*i - 1920 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6*i = -i - 19, -5*i = 5*j - 25 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 10. Suppose -30 = 5*v - 10, -3*a = -r*v + 1337984. Round a to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5\/10*2\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcffcgc. What is prob of picking 1 c and 2 f?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(6*b - b - 3*b) + b - 3 + 3 + (-1 + 1 + b)*(0 + 2 + 0) + 530*b - 1024*b + 526*b)*(1 + 0 + 1).\nAnswer: 62*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6 - 14. What is the greatest common divisor of 60 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -3. Let r = -5 - a. Let o be 0*(15\/(-9))\/r. Solve -p = 1, -4*c + p - 3 + 0 = o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1251943 - 1019.7814057. Let h = z - -1020. Let q = h - 0.1. Round q to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0*c + 0*c + 4*c**2. Let x(g) be the third derivative of -g**6\/180 - g**4\/8 + 2*g**2. Let a(h) be the second derivative of x(h). Determine a(k(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 86.412? (a) -31\/3 (b) -2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*u**6 + 2*a*u**2 - 974*a + 277*u**5 - 2*u**3 wrt u?\nAnswer: -240*a*u**3 + 16620*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.808 to the nearest integer.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a + -2?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3.1. Let o be (1 - 4) + 11 + (-8652)\/1030. What is the nearest to 1 in b, o, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 351 - 172 + 87*b**2 - 179 + 36*b**5 wrt b.\nAnswer: 2160*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621*m + 860*m - 462*m = 223 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 19. What is t(14)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 5*k - 6. Let h be y(4). Let v = -31 + h. Suppose o = 17 + v. Solve -5*i - 4*u = -o, 22 = 3*i + 2*u + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*t = 54 + 203, 0 = -3*t - 6. Let i = o + 98. Let s(k) = k**3 - 9*k**2 + k + 4. Calculate the remainder when 24 is divided by s(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b + 334*b - 3135 = 96*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -1. Let n be w\/18*3\/(-8). Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1340 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/4))\/v**(1\/11))\/(v**(1\/36)\/(v\/v**22)))**(1\/8) assuming v is positive.\nAnswer: v**(-4033\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-2))\/(22 + -24). Put v, -0.5, 15, -4\/3 in decreasing order.\nAnswer: 15, v, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m = -6*m - 5*m - 12*m. Let v(w) be the third derivative of 17*w**2 + 0 + m*w**3 - 5\/12*w**4 + 0*w. Let p(d) = d. What is v(p(r))?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 + 45 - 3*d**2 + 0 + 3*d - 2*d**2. Let o be j(-11). Let y = o + -3082. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.4841 rounded to one decimal place?\nAnswer: 49.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222122 (base 3) to base 12.\nAnswer: a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1061244 and 235832?\nAnswer: 2122488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 2*b**2 + 2*b + 1. Let r be h(-3). Let i be (-296)\/(-30) + r\/30. Solve y + i = 5*u + 6*y, 3*u + 4*y = 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7360*l = -7362*l - 34*u + 1386, -3*l + 7*u = 299 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -0.5, -8\/9, 3068.8?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41902 or 41903?\nAnswer: 41902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 893*h - 904*h = -1650. Calculate the least common multiple of 270 and h.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(448)*-3 + 5 - -3*(-3*sqrt(448) + sqrt(448)))**2.\nAnswer: -4320*sqrt(7) + 217878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 79 - 229. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 - 9 = -t - s, -4*t + 3*s + 237 = 0. Let p be (44\/6)\/(14\/t). Let h = -13 + p. Calculate the highest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -264*p**2 - 30*p + 1469.\nAnswer: -528*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-2) + 20 - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 87*w + 33. Calculate a(-2).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 397, 0.4, -0.2, -4 in descending order.\nAnswer: 397, 0.4, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (19 + -1)\/(-1*8\/(-208)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -778*j + 45104. Calculate i(58).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12430 - 12431. What is the closest to 2.1 in 0.04, 3, c, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from juuyhyyhhyyryruh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14860965477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (84 - 82) + (-48)\/20. Let f = -1 - 2. Sort -0.02, k, f, -1\/2.\nAnswer: f, -1\/2, k, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 40, 65, 86, 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -107243, -214484, -321725, -428966, -536207?\n\"Answer: -107241*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 154.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2122341 + 0?\nAnswer: 2122341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 5\/2, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/((-24)\/9) - (-15)\/(-9). Let 1\/6*n**3 + k*n - 7\/6*n**2 + 8\/3 = 0. What is n?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 29*f. Let h(d) = -21*d + 6. Let s(o) = -17*o + 5. Let i(r) = 4*h(r) - 5*s(r). Let l(w) = w - 2. Let q(x) = 6*i(x) - 3*l(x). Give q(g(a)).\nAnswer: 87*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 4, 3, -11, 2353 in increasing order.\nAnswer: -11, 3, 4, 83, 2353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4863256911 to the power of 1\/2, to the nearest integer?\nAnswer: 69737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119292400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/3 + (-620)\/62. Let z = 3 - 6. Put z, -0.2, d in decreasing order.\nAnswer: -0.2, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + g**2 - g - 17. Give v(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*a = 201*a - 27 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-13)*z**22\/z)\/((z\/(z\/z**(2\/9)))\/(z**(2\/13)\/z)) assuming z is positive.\nAnswer: z**(928\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - r**3 + 16799*r**2 - 16895*r**2 - 3*r.\nAnswer: -r**3 - 96*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/25)*p\/(p\/(p\/p**(4\/5)))*p)\/((p\/(p**4\/p))\/p*p**4*p*p*p)*(p**(1\/2))**(-2\/115)\/(p\/(p\/(p\/p**(-1))))**(-3\/5) assuming p is positive.\nAnswer: p**(-304\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(13)*-1 + sqrt(13) + 4.\nAnswer: -3*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -1275, -2631, -4469, -6783, -9567, -12815?\nAnswer: -16521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(5\/12)*(t*t*t**40)\/t*(t**(1\/8)\/t)\/t*t\/(t**(-9)\/t))**(-9\/7) assuming t is positive.\nAnswer: t**(-3711\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 + 18*q - 21. Let g be y(1). Let k(m) be the second derivative of 17\/3*m**3 + g - 38*m - 17*m**2. Differentiate k(d) wrt d.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -30, 1.\nAnswer: -30, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20389808?\nAnswer: 2, 1274363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 28770418*v\/15 - 1918028\/5.\nAnswer: 2*(v + 2877042)*(5*v - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 48256?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*z + 7, 185*f - z - 2 = 184*f. Which is smaller: -2\/1347 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 + 1510 = 4*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2322, 4, -8, 3, -14, 0 in decreasing order.\nAnswer: 4, 3, 0, -8, -14, -2322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 86395 times -0.053\nAnswer: -4578.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 13*f + 3. Let h(v) = -v**2 - 17*v - 3. Let u be h(-16). Suppose 0 = -2*c + 3*c - u. What is the remainder when l(-16) is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73.02 - -71. Let f = c - -2. Let x = f + -0.28. Sort -0.03, x, -5 in decreasing order.\nAnswer: -0.03, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2204 - -2202.201. Let u = -1.8 - l. Round u to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5825.321 micrograms in grams?\nAnswer: 0.005825321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let m(c) be the first derivative of -7909*c**3\/3 + 9492. Calculate j(m(w)).\nAnswer: -7909*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(3\/2)*v))\/(v**(-1)*v) assuming v is positive.\nAnswer: v**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*(-2)\/(-2))\/(13*(-12)\/(-234)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/16 + -1)\/((-25)\/200)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750*x + 72 = -744*x. Suppose -1895 = -x*r + 2125. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**7\/1260 - h**6\/240 + h**4\/3 + 2*h. Let r(a) be the third derivative of y(a). What is the second derivative of r(c) wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3650320 to the power of 1\/2, to the nearest integer?\nAnswer: 1911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 18*l + 8. Let n be x(16). Let m = n + -36. Suppose -7*i + m*i + 2739 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 625, 1295, 1973, 2659?\nAnswer: 3353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 5, -8 in descending order.\nAnswer: 5, -8, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 - 33102 - 35*m**3 + 66194 - 3*m - 33093 to t*m + v*m**2 + f*m**3 + q and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 508?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 6*k + 3. Let l be a(-5). Let p be (30\/18)\/(l\/(-12)). Solve j - p = -z, -20 = -z + j - 4*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)\/v**(2\/11))\/(v**1\/v)**(-34)*(v**4\/v**(-2\/3))**(-24) assuming v is positive.\nAnswer: v**(-1311\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2351 - 2355. Sort -5, t, -7, 2.\nAnswer: -7, -5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13334201404 + 10?\nAnswer: 13334201414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/6)\/(4\/(-6)). Let w(r) = r + 7. Let h be w(-8). Which is greater: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2103.51111 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 1, -78, 29\/2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 11:59 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*w - 12 = 140*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/3 of a day?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526492957 to the power of 1\/2, to the nearest integer?\nAnswer: 39070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5499 - -5553. Suppose 0 = -5*w + 3*y + 978, 2*w = -3*y + 459 - 51. Calculate the smallest common multiple of u and w.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 11*o - 79. Solve 0 = r + r - o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.8 - 23. Let y = 0.2 + l. Let o be (-8)\/12 - (-7)\/(-3). What is the closest to 1\/3 in o, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1411 divide 132955129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10820460 divided by -154578.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 15, 4*y - f - 2*f = -2503. Let h = y + 887. Let a = h - 182. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/2500 and -73\/280.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (170*i**3 - 169*i**3 - 27 + 36*i - i**4 + 32)*(-4 + 0 + 2) in the form g + k*i**4 + l*i + z*i**2 + v*i**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 4\/9, 8, -2, -2.03, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5777016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-4)*(6\/28)\/(-1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -12 + -1 + 0 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*j + 26*j - 33*j)*(-10 + 10 - j).\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 92, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2*20\/25. Let r(p) = -p + 11. Let o be r(7). Suppose o*n = f*b + 20, -2*n - 5*b - 6 = -n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 86*q - 835, -3*c - 3*q - 25 = -40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -6. Let v = -10 + 11.9. Let y = v + u. Which is the closest to y? (a) 4 (b) -2\/7 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7003705 days in weeks?\nAnswer: 0.6714815","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2259525, -4519017, -6778509, -9038001, -11297493, -13556985?\nAnswer: -15816477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.4 (c) 2 (d) 3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988414.\nAnswer: 2, 7, 17, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 451 = -189. Let f = -13 + 18. Suppose f*p = -43 + x. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/15 - (-152)\/(-5). Let c = z - -46. What is the greatest common divisor of c and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {i: 1, y: 3, c: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 6:08 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 11:25 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*n - 56 = -3*s, -4*n - 108 = -5*s. Calculate the least common multiple of 70 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0. Let x = -3.038 + 0.038. Let s = x - -2. Which is the closest to v? (a) -4 (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 = -2. Which is smaller: x or -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9493*c*q**3 + 2*c - 2*q**4 - 19*q**2 + 5 wrt q.\nAnswer: 56958*c - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 18 = -5*t, -t + 36*c = -5*t + 39*c + 41 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 119*a**2 + 49. Let n(h) = -10*h**2 - 4. Let c be (34\/68)\/(-1*1\/8). Calculate c*k(i) - 49*n(i).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d6a7d0c - 2?\nAnswer: -2d6a7d10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 129442080 divided by -32360520?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24394 + 221*p - 24394)*(2*p + 0*p - 3*p + (2 - 5 + 5)*(4 - 4 + p))*(6*p - 4*p + 2*p).\nAnswer: 884*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4943685601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 168369527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10459*v - 89 - 11518*v + 89.\nAnswer: -21977*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7556.9993134 - 7557. Round f to five dps.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26955 + 54749 + 109294 = -2358*n for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*f**2 + 1)*(-3 + 2*f + 3) - 127*f**3 - 198 + 203 + 30*f**3.\nAnswer: -101*f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let q(b) = 1103*b - 374*b + 793*b + 530*b. What is y(q(n))?\nAnswer: -2052*n","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2. Let x(w) = -w**2 + 15*w + 4. Let k be x(15). Let c(m) = -3*m**2 + 4*m. Let l(j) = -3*j**2 + 5*j. Let g(f) = k*l(f) - 5*c(f). Give y(g(h)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-33))\/g**(5\/9))\/((g*(g\/(g\/g**2)*g)\/g)\/g**33) assuming g is positive.\nAnswer: g**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9015388 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 - -8) - (-10)\/8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g + 13*g**2 - 12*g + 34*g**2 + 9*g**2. Let i(f) = -37*f**2 + 17*f. Let d(o) = 8*i(o) + 5*y(o). Find the second derivative of d(p) wrt p.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14119 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 - 180. Calculate the least common multiple of 5 and (8 + o)*(-2)\/3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*y + 193137 = -144*y. List the prime factors of y.\nAnswer: 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5597582 and 2?\nAnswer: 5597580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1250, -4\/9, 3\/5, 1, 1\/3, -2\/11?\nAnswer: -1250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022935649 to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1514 - 1513.9. Which is the second smallest value? (a) s (b) 2\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f - 19. Calculate d(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220540*s - 220546*s + 441044*s.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 3*i**2 + 0*i + 11\/6*i**4 + 0 + 1\/2*i**3. Is z(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from oohooowohhowowoh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*(-660)\/(-88). Let z(l) be the third derivative of 0*l + 1\/24*l**4 + 8*l**2 + 0 + 0*l**3 + 1\/60*l**k. What is z(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-5))\/(24\/(-30)). Let t be (-3)\/(-7)*(-16)\/12. Sort t, f, 0.1 in ascending order.\nAnswer: t, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 29*j + 295. Determine w(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 k when three letters picked without replacement from kkkkekddkkkdkkkeke?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5 - 14*r - 4*r + 20*r. Suppose -4*f + 9 = 33. Let n(i) = 2*i - 10. Let y(b) = -2*b + 11. Let l(o) = 5*n(o) + 4*y(o). Give f*q(g) + 5*l(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 233664 - 730?\nAnswer: 232734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 107.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, -1\/6, 56\/13, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + p**2 - 2*p**2)*(-2 - 1 + 4) - 9 - 3*p**2 - 2*p**2 + 4*p**2.\nAnswer: -4*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 383898499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 6. Suppose -r*z = -o + 6, 0*z = -4*z. Solve -i + o = w - 2*w, 3*w = -i - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3\/4 - 275*h**2\/4 + 1465*h\/2 + 800 = 0.\nAnswer: -64, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.99 + -21.99. Sort d, -1.4, 0.4 in increasing order.\nAnswer: -1.4, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-276)\/(-14) - (-6)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/1365*40)\/(30\/35)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 17 = -v, -19 = -v - 4*l. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/5 + (-435)\/75.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*3*-6)\/((sqrt(40)*-1)\/sqrt(4)).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -98, -223, -378, -563, -778?\n\"Answer: -15*j**2 - 80*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -20698738 (b) 1 (c) 4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 98*z - 12245. Let o be y(125). Let r(k) = 5*k + 18 - 23*k - 6*k. Let s(n) = -7*n + 5. Calculate o*r(u) - 18*s(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -16. Let f(u) be the third derivative of s*u + 1\/84*u**4 + 1\/210*u**5 + 0 + 0*u**3 - 2*u**2. Solve f(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145 + 293. Let p = v + -86. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (815 + 65*m - 815)*(3 + 3 - 4) + (-3 + 2 - 1)*(0*m - 3*m + m) - 9*m + 4*m + 0*m to the form h*m + b and give h.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.021, 10, 1\/3, 0.7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Let q be (-4)\/6 - 8\/(-3). Let p(h) = -h**2 - 5*h - q*h + d*h. What is p(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 4. Let q be r(6). Let k(d) = 2*d**2 - 3*d. Let g be k(q). Suppose 2*c = -3*z + 6*c + 1, z - 3*c = -3. What is the smallest value in -4\/7, g, z?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 3, v: 6, e: 1, d: 4}. What is prob of picking 1 k and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*c - 18906 + 81873. What is the remainder when 1364 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 9:41 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - 70. Let v = -141 - q. Suppose v = -24*k + 29*k - 495. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62796029677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 3. Let f be d(3). Let x = -5 + f. Let u be (x*25)\/((-2)\/(-5360)). What is u rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 6*r - 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 4*p + p - 7 - 17*p + 6*p in the form y + d*p and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/19 - 22*b**4\/19 - 18*b**3\/19 + 206*b**2\/19 - 260*b\/19 + 96\/19 = 0. What is b?\nAnswer: -8, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 39. Suppose -p = -g + 8. Let f = -1.1 - -1. Which is the closest to f? (a) 2 (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2142550.1266 rounded to the nearest one hundred?\nAnswer: -2142600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*h**4 - 780*h**3 + 7205*h**2 + 7800*h + 2000.\nAnswer: 5*(h - 20)**2*(2*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3958 + 2637*i**4 + 2008 + 1950 + (-i**3 + 5*i**3 - 3*i**3)*(i - 2 + 2).\nAnswer: 2638*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -160409.1 rounded to the nearest 1000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 68057 = -j, -1646*p + 1644*p + 45372 = -j. List the prime factors of p.\nAnswer: 5, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 2897*y**2 + 1098938*y - 40117680.\nAnswer: -(y - 302)*(y - 41)*(y + 3240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32056.\nAnswer: 2, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1792 and 182144?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13862, -27727, -41592, -55457?\n\"Answer: -13865*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wblw when four letters picked without replacement from wwwwwwwxlwblllxw.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 6146 + 979 + 1905. What is the highest common divisor of 84 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.21, 78, -1, 1 in increasing order.\nAnswer: -1, -0.21, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:27 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3 + 3*a**2 + 3. Let s(b) be the first derivative of 0*b + 0*b**2 + 3 + 1\/3*b**3. Determine s(l(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 12) to base 5\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*z**3 - 16 - 258*z + 260*z - 5 wrt z?\nAnswer: -30*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*p - 13, -2*p = 4*t - 24 + 6. Solve -3*y + 12 = 5*u, 0 = 91*u - 93*u + t*y + 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 12:57 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 9*x - 8. Let o(v) = -11 - 11*v + v**2 + v**2 + 3*v + 4. Determine -6*b(f) + 7*o(f).\nAnswer: 2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 2.6.\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*z = -20, 5*z - 9 - 11 = 2*h. Solve h = 4*o + 4*u + 28, -5*u - 18 - 14 = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1305, -9502, -31751, -75078, -146509, -253070, -401787?\nAnswer: -599686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 510\/1224*-24*(-5)\/(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 12:15 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 18*y = -23*y + 17, -d + 9 = 7*y - 4*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((35\/(-462))\/(2\/6))\/((-115)\/184).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31137398 divided by -1?\nAnswer: -31137398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -175*v**2 - v. Let b be i(1). Let y = b - -102. Let t = y - -372\/5. Which is smaller: t or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 22*i**3 + 1. Determine j(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from txktmmm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 549 and 0.21?\nAnswer: 115.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 253597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 145568341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 4, f: 14}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 13) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(7\/2))\/((-54)\/189)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 559 - 534. Calculate the remainder when 235 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16686 + -0.2.\nAnswer: -16686.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/316 and 113\/20?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 342495 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-4) + 28\/2. Suppose 4*n + y + 4*y - 37 = 0, w = 3*n + 2*y. Suppose 5*d = 4*u - 120 - 194, 0 = n*u - 3*d - 237. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {y: 3, x: 3, o: 3, g: 3}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 14 + -5 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -6. Let l(g) = -1 + 2 - 2 - 5*g**3. Let a(t) = 9*t**3 + 2. Let y = -4 + -2. Give f*l(h) + y*a(h).\nAnswer: h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 + 1 = -5*x, x - b = -2. Let h(y) = y**3 + y**2 - y - 4. Let u be h(x). Is u > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5889 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 9*h**2 - 26. Let k = 62 - 40. Suppose y - k = -2. What is the remainder when g(-8) is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(48) - sqrt(3)) + -5.\nAnswer: -7 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -9)\/(1\/8). Let b(i) = 131 - 4*i + 0*i + a + 3*i. Is b(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.01 - -6. Let k = 0.31 + h. Put k, -1, 4 in increasing order.\nAnswer: -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/9)*n**(-2\/71)\/n assuming n is positive.\nAnswer: n**(-515\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g**2 - 36*g + 2230. What is the units digit of w(-88)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 2 + 4\/4. Suppose 22 + 16 = g*b - 5*v, -4*v - 40 = -4*b. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/7110 and 179\/90.\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/(-16) + 5\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 10 = -2*x + 1, 3*x = -3*r + 9. Suppose 0*b - 4*b + 4 = x. Let p be -3*((-14)\/(-6))\/(-1). What is the highest common divisor of b and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*f + 300*f + 132*f**3 + 42*f.\nAnswer: 132*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204334 and 47154.\nAnswer: 613002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.2 (c) -12 (d) 43918\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003685 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 3*c**2 + 5. Let g be 5 + 3 + -2 + 2. Let i = g - 12. Determine d(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 88\/(-55)*(-16 + -4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 3, z: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 10*v - 12. Calculate c(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(1305\/(-40)))\/((-4)\/(-30))*3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/2)\/d))**(2\/39)*(d\/(d**(-6)*d))\/d**(-8) assuming d is positive.\nAnswer: d**(551\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 149868503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44, -133, -262, -437, -664?\n\"Answer: -k**3 - 14*k**2 - 40*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1551 - -2373. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*l + 4*l + 164 - 71. Let j = -1.2 - -0.04. Which is the closest to j? (a) l (b) 4\/9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, -7 in decreasing order.\nAnswer: 2, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 51 (b) -3\/2 (c) 7.2 (d) 42 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175.2 + 1204.2. Let t = -1029.0851 + k. Let g = 0.079 + t. What is g rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226920 divided by -2.\nAnswer: 113460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3367 (base 9) to base 12.\nAnswer: -1537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:06 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 682 + -671. Let n(o) = -3*o**3 - 8*o**2 + 9*o + 11. Let l(d) = d**3 + 3*d**2 - 3*d - 4. Determine j*l(m) + 4*n(m).\nAnswer: -m**3 + m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/6 - (-9)\/(-27). Suppose j*r = -23 - 12. Let b(h) = -h**2 - 5*h + 2. Give b(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.058569 in -6\/7, 0.3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-150))\/(3\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**3\/3 + 3*x**2 + 35*x. Let i(g) = -1. What is 3*i(o) + v(o)?\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3407353 or -20444113\/6?\nAnswer: -20444113\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 907*c**2 + 29022*c - 68. Determine d(-32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1554345 and 145\/18.\nAnswer: 3108690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 3905280?\nAnswer: 3905280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(4 + -2) - 0. Let k be 2\/r - -1 - -2. Solve k*a - w + 20 = 0, 3*a + 1 + 11 = 3*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 + 392. Let r = -128 + i. What are the prime factors of r?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 56014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.2 - 6. Let s = 23.02 + -0.02. Let r = s + -8. Which is the biggest value? (a) d (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34727*s + 34888*s - 69607*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 4452 + 4452.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46014852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5719, -5878, -6053, -6250, -6475, -6734, -7033?\n\"Answer: -u**3 - 2*u**2 - 146*u - 5570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92*v**2 + 2304*v wrt v?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 15. Let p be ((-8)\/(-1))\/(-4)*38. Let a = -74 - p. Sort h, a, 5 in increasing order.\nAnswer: h, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/5757, 7, 4\/5, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.673 + 18.67327426. What is j rounded to six dps?\nAnswer: 0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117 - -130. Suppose 20*y - z*y - 2569 = 0. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138413 (base 12) to base 7\nAnswer: -2523564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1145 divided by 229.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-35)\/10*8\/14 - -4. Suppose r*o + 27 = -k, -7 = -4*o - 27. What is the smallest value in 0, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37\/308 - 1\/44. Let o = 11\/21 - w. What is the third smallest value in o, -2, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwm when three letters picked without replacement from {w: 4, q: 3, m: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 7523628?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.2. Let z = -0.2 + o. Let k = z - 0.9. Which is the second biggest value? (a) -0.1 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -15, 0, -8.\nAnswer: -15, -8, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*u + 5. Suppose u*l - 3*p - 1525 = -3*l, 4*p = 5*l - 1530. Suppose 5*y = l - 27. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 438 or 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p = -2*j + 2125, -1390 = 2*p + 4*j. Let x = p - -1559. List the prime factors of x.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -366*m**2 - 18. Let h(t) = 244*t**2 + 13. Give 5*g(u) + 7*h(u).\nAnswer: -122*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 - 105 = 113*q - 102. Factor -3\/7*v**q + 6\/7 + 12\/7*v**2 - 15\/7*v.\nAnswer: -3*(v - 2)*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/7, -4, 1565, 4\/5 in decreasing order.\nAnswer: 1565, 4\/5, -2\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*z - 528 - 82 = 0, -4*w + 1231 = 3*z. List the prime factors of w.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2703254002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**4\/78 - 32*g**3\/13 + 41*g - 7. Factor q(w).\nAnswer: 2*w*(w - 96)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 23*y + 68. Let j be f(-3). Let d = -295149\/131 - -2253. Which is greater: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13277 by 4.\nAnswer: -13277\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -5. Suppose -5*d = 5*s - 195, d = 4*s - 3*d - 156. Let c = s - f. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(153) - ((sqrt(153) + sqrt(153) + 0)*-1 + sqrt(153)) - sqrt(153))**2.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(44)\/sqrt(4)*6 - ((sqrt(275) - (sqrt(275) + sqrt(275) + -1)*-4) + sqrt(275))**2.\nAnswer: -27518 + 406*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(34) + (sqrt(1666) - 3*sqrt(1666))))\/(sqrt(6)\/(sqrt(243) + sqrt(243)*2)))**2.\nAnswer: 33510672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4\/7 + 116301*v**3\/7.\nAnswer: -3*v**3*(v - 38767)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/216 + (-2 - (-3413)\/(-20)). Let n = h - -172. Let j = 1.8 - 5. Sort 5, n, j in ascending order.\nAnswer: j, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3) + sqrt(3)*1*2))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-798 - -784) + (0 - -4) + (14 - -76).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*v - 20 = 17, 25 = -3*q + v. Let k = q - -19. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/38)*p*p**(10\/3) assuming p is positive.\nAnswer: p**(497\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*i + 301*i = -10. Suppose 3*q + 891 = 4*k, 0 = 3*k + 5*q - i*q - 684. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658 + 658 - 4*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - (2 + 1))\/((-6)\/66)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c*h**2 + 3*c*h + 9*h**3 - h**2 + 3*h wrt h.\nAnswer: -8*c + 54*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*(sqrt(1539) + -1 + sqrt(1539)))**2 + -5 + -1 + 4 + 5.\nAnswer: -1296*sqrt(19) + 221655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 91 + 0*u - u - u - 91. Let v(g) = 28*g**2. What is z(v(i))?\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - q + 1)*(-3 + q + 3) - 65*q**2 + 24 - 24 - 2*q + 0*q**2 + 7*q**2 - q**2 in the form b*q + c*q**2 + a and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from zzxmhaazaajzzxa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 10:11 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141 + -91. Let z = 50 - n. Is z > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 1, 0.32, 0.5 in ascending order.\nAnswer: 1\/6, 0.32, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2575 + 175 = 2*j. Suppose 92 - 48 = -2*h. Let z be (j\/h)\/((-2)\/3712). Round z to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174)\/9 + (-686)\/1029.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/28)\/(15\/(-864)*9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1167 + 1320. Calculate the remainder when k is divided by (9\/6)\/(3\/26).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(1 + sqrt(17)) - (3*sqrt(425))**2).\nAnswer: -3829 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 5224. Let n be 140\/315 - (-35614)\/18. Let l = n - a. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 3*r - 6*r - 15, 4*s + 4*r + 20 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**2 + 33*u + 33. Let r(l) = -l**2 - 4*l - 4. Let d be ((-22)\/6)\/(1*(-1)\/9). Let p(c) = -c**2 - 7*c - 2. Let f be p(-6). Determine d*r(w) + f*o(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2536*t**2*v**2*x**3 + t**2*v*x**2 - 321*t**2*v*x - t*v**2 + t*x**2 wrt x.\nAnswer: -15216*t**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -76*x. Let u(o) = -112*o**2 + 24*o. Give u(q(t)).\nAnswer: -646912*t**2 - 1824*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 8:40 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4537*c**5 - 9*c + 2*c**4 + 2*c**4 + 4536*c**5 - 12*c**2 + 2*c**3.\nAnswer: -c*(c - 3)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 5:41 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23399 + 41556. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126754 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/18 and -4 + (13895\/(-405))\/(-7).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqvgvqgggv. What is prob of sequence vg?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -18*b**2 - 4*b + 5. Let j(i) = 17*i**2 + 5*i - 5. Determine 4*j(v) + 5*w(v).\nAnswer: -22*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63574 and 21846034.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012101002121 (base 3) in base 14?\nAnswer: -225c77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 y, and 1 h when three letters picked without replacement from mymhymyydmcmm?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-90))\/(((-3069)\/(-55))\/9)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 59*i - 107. Calculate n(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 - 16 = 4*x. Suppose 32*m = x*m - 14315. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618882 = -3426*x - 5951*x for x.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 297 + -69. Suppose -l = 47*o - 50*o. Suppose 6*d = 3*m + d - 111, o = 2*m - 4*d. What is the remainder when m is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppzzpzpzpzp.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.83 - -4.832. Let o = -4.002 + b. Sort o, -1\/4, -1.2.\nAnswer: o, -1.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -339, 4, -2, 17, -5 in ascending order.\nAnswer: -339, -5, -4, -2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2)\/(21\/(-35))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1245*v**3 - v**2 + v + 2. Let u be n(-1). Let b = -746 + u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11145391 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3, -6, -7362, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppffpb. What is prob of picking 1 f and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302022 (base 4) in base 11?\nAnswer: 5542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1801038 (base 11) to base 14.\nAnswer: -599913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 6772350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h + 1. Let d(m) be the third derivative of -1\/24*m**4 + 0*m + 0 - 2*m**2 + 0*m**3. Give 2*b(q) - 11*d(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -3 + -9 + 927\/37.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59684.\nAnswer: 2, 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1008*u**5 - 114445*u**2 + 114445*u**2 + (-3*u**4 + 3*u**4 + 2*u**4)*(-u + 2 - 2).\nAnswer: -1010*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2601 and 92\/1071.\nAnswer: 18207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-88)*(-11)\/(-2)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f + 2. Find the first derivative of -7*l**f + 1 + 5*l**4 + 8*l**4 wrt l.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:46 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/21072 and -29\/12846.\nAnswer: 45115152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 5*d + 35, 14*d - 17*d - 15 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 1, x: 1}. Give prob of picking 1 l and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 295*b**2*v**3 + 11*b**2*v**2 + 162*b*v - 11*v**3 wrt b.\nAnswer: 590*v**3 + 22*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 + 2*y**3 - 9*y**2\/2 + 5*y - 5. Is k(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2\/4 - 5760*r + 4091472 = 0 for r.\nAnswer: 792, 6888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2815*r + 191461. Calculate v(68).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:39 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16380, -16441, -16502, -16563, -16624, -16685?\nAnswer: -16746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 4*w. Suppose -5*o - o = -84. Let j(l) = -l**3 + 14*l**2 - 6. Let r be j(o). Let s(i) = 6*i**2 - 23*i. Calculate r*s(t) + 34*m(t).\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -3. Suppose -o - s = 0, -w - 5*o - 142346 - 157679 = 0. Round w to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 11.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 + 1 - 2*j**3 + 2*j**3 - 14*j - 5*j**3 in the form z*j + d*j**2 + h*j**3 + f and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/395 and 145\/394368?\nAnswer: 1971840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(28)*3 - sqrt(7))**2.\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 37 = -4*x - 5, -2*r = 8. Let n(c) be the second derivative of 1\/6*c**3 - 1\/6*c**x + c**2 - 1\/20*c**5 + 0 - 7*c. Suppose n(l) = 0. What is l?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19992 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Let c = 7 - m. Let z(o) = -o**2 + 5*o - 3. Let s be z(c). What is the greatest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**5 - 32*v**4 - 15184*v**3 + 15752*v**2 + 499404*v + 950040 = 0.\nAnswer: -58, -3, 7, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-26)\/(a**3\/a))\/((a**(-40)\/a)\/a**15) assuming a is positive.\nAnswer: a**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18251 - -35875. Is 81 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 6:16 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 41*l - 45362 = -43*l, -45355 = -5*n + 5*l. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 608 - 425. What is the remainder when j is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.77 + 1.6. Let c = v + -0.13. Let x = c - 0.8. What is x rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*y + 12, 4060 = 5*y - 3*w + 4077 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5365 - 14365 = -40*o. Suppose -10116 = -o*j + 216*j. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591053 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 141. Let n = 6 - -63. Let f = n - o. Solve -4*y + 5*x = 26, -3*y + 3*x - f*x = 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260403 (base 9) in base 15?\nAnswer: 31b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 0 + 4*o + 3\/2*o**2 + 1\/6*o**4 + 2*o**3. List the prime factors of q(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -11. Let o be 6 - 5 - -1*1. Suppose -o*s - 15 = s. Put u, 1, s in descending order.\nAnswer: u, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3457093*u + 1513 = 3457182*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4050 + 0*c**3 - 4050 + 23*c**3.\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(297\/(-6)) + (-178)\/1342. Is c != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354163 times 0.3\nAnswer: 106248.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2989 + 1219. Let d be 0 + (50 - (-2 - -2))*i. What is d rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5440 and 42432?\nAnswer: 212160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3647907439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -446025980*c**3 + 112107591*c**2 wrt c.\nAnswer: -2676155880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28979, 115898, 260763, 463574, 724331?\nAnswer: 1043034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 + 353*u**2 + 3*u**3 - u**4 - 352*u**2 + 2*u to g + t*u**4 + j*u**3 + k*u + o*u**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 8*w + 27 = -8*w - 3*w, -5 + 65 = -12*w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21211101 (base 3) to base 11\nAnswer: 4319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 32*i - 1. Let s(g) = -13*g. Determine s(y(q)).\nAnswer: 26*q**2 + 416*q + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -4)\/((1\/2)\/((-355)\/(-11360)) + -23).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 52642135?\nAnswer: -52642135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 23800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/9)\/n*n*n*n**(-1\/3)\/n*n**(-2\/7)*n\/(n\/(n\/n**(-7))*n*n*n) assuming n is positive.\nAnswer: n**(290\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 23 - (-12 + (15 - -7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9991475 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18633697 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnonlulluooluol. Give prob of sequence olol.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -530 + 594. Suppose -p = 41*s - 49*s. Solve -s*h = -5*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**3 + 5*o**3 - 4*o - 3 - 4*o**2 - 2*o**3. Let r(i) = -i**3 - 3*i**2 - i. Let k be r(-2). What is w(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 0 + 27*b + 0*b**3 + 0*b**2 + 1\/6*b**4. Let d(m) be the third derivative of -m**5\/60 + m**2. Determine i(d(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037054048 rounded to 5 dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**6\/9 - 6*l**5\/5 - 2*l**4\/3 + 8*l**3 - 254. Let m(x) = 0. Calculate x.\nAnswer: -2, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18180 + 18185. Solve 17*b = 12*b + 5*l - a, -b = 2*l - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384.937 hours in days?\nAnswer: 99.372375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/38? (a) -113 (b) -3 (c) 0.6 (d) 3 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m + 70 = 68 + 130. Sort 1237, 1, m in descending order.\nAnswer: 1237, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-7\/6)*t*t\/(t\/(t\/(t\/(t*t*t\/(t**12\/t*t)*t*t)))))**3 assuming t is positive.\nAnswer: t**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/25 (b) 1 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6899 + -1.4199. Which is the nearest to 0? (a) w (b) 2\/17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**4\/4 + t**3\/3 - 7*t - 9. Let b be s(0). Is -1 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 937061, 1874257, 2811449, 3748637, 4685821?\n\"Answer: -2*u**2 + 937202*u - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-66 - 0))*1. Let x = p - 69. Let r = 1 - x. Solve -r*v = -0*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 21 - 223*w + 228*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = -3*v + 5*t, v - 4*t = -4*v + 843. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 11*h**2 + 3*h - 15. Let r be g(11). Let b = -3 + r. Suppose -5*c - z = -b, 5*z = -21 - 4. Solve c*a = -0*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210677628751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 184 = 3*l - 2*f, -4*f = 5*l - 316. Let p be l\/3*(11\/(-4) + 3). Suppose -p*y + 42 = -38. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u**2 - u - 1. Let b be i(0). Find the common denominator of 21\/(-280)*-114*(-6)\/(-9) and (-17*(-2 - b))\/(-14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1\/4 (b) 5 (c) 108 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -8, -6\/11, 40.1, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*w**3*x - 3*b**2*w*z**2 + 8*b**2 + 2*b*w**3*x*z**2 + b*w**3*x*z + b*w*x + w + z**2 wrt b?\nAnswer: -4*w**3*x - 6*w*z**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-39 + 31 - (0 - 6)) - -24?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 227 = -29. Let l be -3 + (6 - 4) - 0. Put b, 3, l in ascending order.\nAnswer: b, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96.465 + -97. Let p = z + 0.035. Which is the biggest value? (a) 1 (b) p (c) 2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g - 186 = 0. Let n = 67 + g. Suppose -n*q - 40 = -115. What is the remainder when 87 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1784*53.73\nAnswer: 95854.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10440223?\nAnswer: 419, 24917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 460709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 404 - 146. What are the prime factors of f?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/2)\/(18 + (-686640)\/38144). Which is greater: -1183 or j?\nAnswer: -1183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39641*x + 45784 wrt x.\nAnswer: 39641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 523650 divided by -6982?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 26*a**2 + 24*a + 6. Calculate g(25).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1369*y**4 + 267*y wrt y?\nAnswer: -16428*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*o**6 - 563*o**4 - 6152*o**3 + 155*o**2 - o + 324564 wrt o.\nAnswer: -3360*o**3 - 13512*o - 36912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/2)\/(2\/52). Let b(r) = 65 - v - 6*r**2. Let c(p) = p**2 - 184*p + 184*p. Give b(c(o)).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 4, m: 1, l: 2}. What is prob of sequence pt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1104 + -2?\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7760 and 360176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3074*s - 179*s + 1563*s to the form w + h*s and give h.\nAnswer: 4458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -737, -742, -749, -758, -769, -782, -797?\n\"Answer: -t**2 - 2*t - 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 10:50 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.49 - 5.49. Which is the nearest to -2? (a) z (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*k**3*p**2 + 2*k**3 + 98*k**2*p - 21*k*p**4 + 2*k*p wrt p?\nAnswer: -60*k**3 - 252*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 less than -12531885115.695?\nAnswer: -12531885115.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -312 in descending order.\nAnswer: 4, 3, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 plus -116.1169?\nAnswer: -116.0669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6790425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -12)*(-6)\/(-10). Let w be 1\/f - (-36)\/54. Which is the closest to 0.1? (a) -4 (b) -1.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-766)\/(-3)*(-6 + 3). Let a = 1181 + w. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006976 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1110101111?\nAnswer: 1110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-1 + -3)**2 + -5)*2 + 2*((sqrt(11) + sqrt(44)\/sqrt(4))*4)**2 + 3 + -4.\nAnswer: 72*sqrt(11) + 2207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 4:01 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4579.000081296 + 4579. What is v rounded to six decimal places?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000738349474 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 709?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + w**2 + 2*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506427.2l to millilitres.\nAnswer: 506427200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, -543, -2232, -5595, -11190?\nAnswer: -19575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2087249 is divided by 601.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 258, 247, 214, 147, 34, -137, -378?\n\"Answer: -2*a**3 + a**2 + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 = -5*y, -5*y + 110 = 5*v. Let q = -101 - -183. Calculate the remainder when q is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012120 + -10?\nAnswer: 1012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132355444 (base 6) to base 10.\nAnswer: 2643796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -19011?\nAnswer: 19015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -19, 0.02, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-154)*660\/770*154\/(-30).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, m: 1, l: 2, j: 2, u: 1}. Give prob of sequence jlju.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672\/280*(-10)\/44.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 5*s**2 - 29*s + 49. Let f be z(9). Solve f*d - 765 = 27*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 30 = -34. Suppose -o + 2*t = -41, -2*o + c*t = 6*t - 58. What is the highest common divisor of o and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c46 (base 14) to base 11.\nAnswer: -18a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25b6b12 (base 12) to base 4\nAnswer: 130130112332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*o**4 - 8*o**2 + 24?\nAnswer: 100*o**3 - 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -3\/5 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44 (b) -1.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 19*m**2 - 557*m + 1109. Give f(2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23687.\nAnswer: 23687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -0.55.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 179.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32361 is divided by 16172.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -694*n**3*o**2 - 1064*n**3*o*p + 2*n**2 + 4*n*p - 32035*o**2*p wrt n?\nAnswer: -4164*o**2 - 6384*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 623939248 divided by 155984812.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 12*p - 13. Let s(t) = t - 1. Calculate -22*s(y) + 2*z(y).\nAnswer: 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a32 + 5?\nAnswer: 4a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y + 7*y - 3)*(-4*y**2 + 5*y - 5*y)*(-y + 4*y - y).\nAnswer: -24*y**4 + 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-8)*26\/65)\/((-16352)\/4672)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3175, -3181, -3197, -3229, -3283?\n\"Answer: -t**3 + t**2 - 2*t - 3173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*k**2)*(3*k + 2*k - 3*k)*(-9 + 6 + 2).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.9 - -13. Put w, 2\/5, 1 in increasing order.\nAnswer: w, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 67 + 53. Let t be 240\/21 + q\/70. Solve 0 = 10*i - t*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 52 = -18*k + 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f. Let k be 3\/(-2)*9\/((-27)\/4). Let n(i) = -2*i - k*i + 7*i + 4*i. Give n(h(b)).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -296, -304, -326, -368, -436, -536, -674, -856?\n\"Answer: -r**3 - r**2 + 2*r - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3966211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 638, 641, 646, 653, 662?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 8164a8?\nAnswer: -8164b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4224, -4213, -4212, -4233, -4288, -4389, -4548, -4777?\n\"Answer: -2*i**3 + 7*i**2 + 4*i - 4233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 1. Let o be f(-1). Suppose 0 = 4*j + c - 6, -5*c = -3*j + 11 + 5. Put j, o, -3 in descending order.\nAnswer: j, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2532 * 1133.\nAnswer: -2868756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -26*r + 222. Let s be b(9). Let c be 2\/9*s*3\/(-2). Solve 5*z + 5*k = 0, -2*k = -z + c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506\/(-2761) - 12\/(1320\/(-3470))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkxssemqsqx. Give prob of picking 1 q and 1 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30751 and 11695312.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*c = -1 + 17, -2*d = -3*c - 9. Suppose -d*b + 8700000 = -6*b. Round b to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 842\/(-144) - (-930)\/837?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6229, 6378, 6701, 7258, 8109?\n\"Answer: 10*y**3 + 27*y**2 - 2*y + 6194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 4. Suppose -4*g + 1 + 7 = 0. Let l be 8\/10*g\/(-8). What is the second smallest value in b, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.66151 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -21 in ascending order.\nAnswer: -21, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dph when three letters picked without replacement from phhdhddhhhshhh?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 20466*n - 590991.\nAnswer: -3*(n - 6793)*(n - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 57, 140, 297, 552, 929?\n\"Answer: 4*n**3 + n**2 + 2*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m + 251 - 159 + 2 + 0*m. Calculate y(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-136)\/(-22) - (-22)\/(-121). What is the second derivative of 3*q - 2*q - q**5 + 0*q - h*q**5 wrt q?\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82032\/21007 - 2\/9003. What is the common denominator of a and 7\/435?\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/94 and 27\/20.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*z + 337 + 290 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 31476*l + 881331. Calculate o(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnx when three letters picked without replacement from xnnnnnnxnnnxnnnnnn.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3111391023 to the nearest integer?\nAnswer: 55780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1591*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + 2*z**4 + 0*z**4 + (0 + 0 + 2*z)*(-3*z**3 + 4*z - 4*z) + 0 + z**4 + 0 - 4*z + z**4 + 4*z + (3 + 1 - 2)*(0*z**4 - 5*z**4 + 3*z**4).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 21 = 3*o, 0 = 5*o - 3*o + 4*j + 24. Let v = 0.3 + -0.6. What is the nearest to -0.1 in v, -5, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 132.7989404 and -2.29.\nAnswer: 130.5089404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3 - 0. Let p be ((-35)\/(-18) + -2)*1. Is p equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925040?\nAnswer: 2, 3, 5, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/7)\/(-4) - 4. Let b(u) = -16*u - 1. Let h(d) = 31*d + 2. Calculate g*h(w) - 7*b(w).\nAnswer: -12*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-162*o**2 - 19638 + 19638)*(-3*o**2 + 0*o**2 + 2*o**2) in the form h*o**2 + f*o**4 + g*o**3 + c*o + p and give f.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i - 2. Let g be l(-9). Let r be (-42)\/g*(-10)\/3. Which is greater: 1\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1069807*v - 1069808*v - 57 - 18)*(3*v**2 - v**3 - 3*v**2).\nAnswer: v**4 + 75*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -2\/3*z**4 + 0 + 0*z - z**3 + 4*z**2 - 17\/30*z**5 - 2\/45*z**6. Let p(o) be the first derivative of n(o). Factor p(d).\nAnswer: -4*(d + 4)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0830146m in kilometers?\nAnswer: 0.0000830146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*o**4 + 15019*o**3 - 58*o**2 - 8*o + 109?\nAnswer: -264*o + 90114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**3\/18 + 7*q**2\/12 - q - 9. Factor s(u).\nAnswer: -(u - 6)*(u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*j + 11 = -241*j + 27 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000959 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 3*a - 6. Let m be j(-6). Let u(g) = -m + 2*g**2 + 12. Let f(l) = -4*l**2. Calculate u(f(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -18\/13, -1002, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 38 = 2*h - 7*j, -h + 4*j = -13. Suppose x - h = -8. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a factor of 131762859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1499 and 1326?\nAnswer: 1987674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1744045916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d. Let h(i) = i - 82. Give z(h(p)).\nAnswer: 5*p - 410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*(((k*k**1\/k*k*k)\/k)\/k)\/k*k)\/(k\/k**2*k))\/((k\/(k*k*k**(-10)\/k))\/k**(-5\/4)) assuming k is positive.\nAnswer: k**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - v - 324 = 0, -4*v + 51 + 258 = -3*d. Find the common denominator of -2 + -1 + d\/(-4) and -39\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5003122 and 978?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 3, s: 1, b: 4, g: 10}. Give prob of picking 1 v, 1 g, 1 b, and 1 m.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -3*w + 136. Let q = 547 + -515. What is the highest common divisor of q and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 1300 = -13*i + 5*u, -i - u + 316 = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-38)*37054\/573\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m + 3. Let u be j(-3). Let l(t) = -3*t**2 + 26*t + 14. Let a be l(9). Let d be ((-126)\/24 + a)*4\/(-1). Sort d, -4, u in descending order.\nAnswer: u, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117717 is divided by 436.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12317063 or 12317064?\nAnswer: 12317063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 1, l: 2, w: 3, j: 3, y: 1}. Give prob of sequence jj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rff when three letters picked without replacement from {r: 12, f: 5, e: 2}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) -0.109 (d) -3 (e) 8\/15 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 4*y - 10. Is w(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1307314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222383 is divided by 220.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -626170 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 81. Which is the closest to 4? (a) 0.5 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*t - 4 - 521 = 0. Solve -29 + t = -24*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9758.675l?\nAnswer: 9758675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/180 + y**3\/18 - 3*y**2. Suppose v(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 130660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/11 (b) 1.1 (c) 123.97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:33 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03496441 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/3*d - 10\/3*d**2 + 2\/3*d**3.\nAnswer: 2*d*(d - 4)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -370\/63 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384 and 768.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 28197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (7 - 432\/18)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3590740*k**3 + 211060*k wrt k.\nAnswer: 21544440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**5*l**17 assuming l is positive.\nAnswer: l**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**3 - 6*l**2 - 125*l + 1938 wrt l?\nAnswer: -3*l**2 - 12*l - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 2*f**3 + 4*f**3)*(-63*f**2 + 36*f**2 + 39*f**2 - 2).\nAnswer: 12*f**5 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/4 + (-25466)\/(-56) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 275 and 258 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 2*p - 4. Let b be i(-4). Let q be b\/(-32) - (-3)\/(-8). Let k = 1.4 + -1. Sort -1\/12, q, k.\nAnswer: -1\/12, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(119) + (sqrt(119) - 3*(-2*sqrt(119) - sqrt(119))))\/sqrt(7).\nAnswer: -11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2318.77539 microseconds to days.\nAnswer: 0.000000026837678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 1. Let l(u) = 6*u**2 + u + 5. Let a = 29 + -29. Suppose -20 = -a*c + 4*c. Calculate c*n(y) + l(y).\nAnswer: y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 27678551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Let r = -380 + 378. Let b(i) = 1. Determine r*b(o) + l(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fawaffkwfwjawjajlkaf. Give prob of sequence flfa.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*x + x - 3*x - 25, 1395 = 3*x + x - 309*i + 46*i for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, 9322, 5, -6 in descending order.\nAnswer: 9322, 5, -6, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -213, -483, -861, -1347, -1941?\nAnswer: -2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 7*j + 10. What is the units digit of a(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus 829.977591?\nAnswer: -830.777591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/20 and -59\/13766?\nAnswer: 137660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3050492819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 171757064 = 171757066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -6. Let q = 7 + l. Suppose -2*r + 14*p - 4 = 10*p, -5*p + 11 = -r. Solve -j + 3*w = -6 - q, r*j - 3*w - 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1323 = -w - 3*p, -3*p = 3*w - 1977. What are the prime factors of w\/25 - (-3)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*(-20)\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2. Suppose 9 = -7*c + 65. Let z(q) = c*q**2 - 10*q**2 + 4*q**2 + 8*q**2. Calculate m(z(n)).\nAnswer: -600*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -638 or -639?\nAnswer: -638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = d - 455 - 12, 2*d - 934 = -v. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -23168*j. Let d(z) = 5*z**2. Determine d(l(k)).\nAnswer: 2683781120*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62241\/4 + -15561. What is the smallest value in 3, s, -39.9?\nAnswer: -39.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(270) + sqrt(30) + sqrt(30))*3 + (sqrt(270)*6 - sqrt(30)))\/((sqrt(280)\/(1*sqrt(7)))\/sqrt(4)))**2.\nAnswer: -256*sqrt(3) + 3088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 7. Let d be n(7). Suppose 2 = -i + 7*f - 3*f, 0 = -2*f + 4. Let w = 9 - i. Solve -2*t - 4*x + 22 = 0, d = -2*t - w*x + 2 + 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 31365 = 4*z - 233425, 5*z + 5*j - 330995 = 0. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 926247 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 2. Suppose 0 = 40*k + 66 + 14. What is the closest to k in -1\/2, l, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -0.5, -4\/7, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 4:37 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 9*f = 8*f - 31, 3*t - 3*f - 33 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 146*d - 764. What is g(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29644141 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(102) + (sqrt(102)*2*-6 - sqrt(102)))\/(sqrt(54)\/(3*sqrt(144))*6).\nAnswer: -34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 142\/2 - (2 + 0). Let q = m + 46. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453 (base 8) to base 11\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7342174597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 6, -4*z + 2*z - 198 = -2*m. Suppose 7*h - 5*h - m = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3 + 8 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 7:43 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/7 - 5372128*a\/7 - 5372114 = 0. Calculate a.\nAnswer: -2686057, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 12, q - 26*l = -27*l - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 681*w + 679*w = -86146, -3*w = 4*c - 172298. What are the prime factors of c?\nAnswer: 23, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5613000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31874 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1448, -1, 0.\nAnswer: -1, 0, 1448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1057576064571 + 1\nAnswer: 1057576064572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4628312173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -14*o**2 + 8*o - 4. Let f(j) = -15*j**2 + 10*j - 5. Let l = -80 - -85. Let c(w) = l*x(w) - 4*f(w). Let v(b) = 6*b**2. Give v(c(r)).\nAnswer: 600*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, j: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647.217 centuries in millennia?\nAnswer: 164.7217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 227978549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1460548 is divided by 273?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16690 rounded to the nearest one hundred?\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32780 and 1639?\nAnswer: 32780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13284 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 0 + 0*k + 0*k**5 + 1\/28*k**4 - 2\/21*k**3 - 1\/420*k**6 - 6*k**2. Factor q(c).\nAnswer: -2*(c - 1)**2*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7297 (base 10) in base 9?\nAnswer: 11007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -88, -122, -176, -256, -368?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 1:59 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - -222491.\nAnswer: 222504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lddd when four letters picked without replacement from rddlrrrddddrdddrlrr.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*(-14)\/(140\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t**2 + 173*t - 53. Let c be f(17). What is the nearest to -0.2 in 0.5, 0.4, c, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1039 - 1041. What is the nearest to -2\/3 in -0.5, p, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -13, -29, -51?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 130\/70 - (-2)\/14. Find the second derivative of -3*g**2 - 40*g - 15*g**a + 23*g**2 wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-158970)\/(-245))\/((-10)\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188892.044 rounded to the nearest ten?\nAnswer: -188890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18907 - 8717. What is the thousands digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -195.93 - -194. Let i = -2.7 - s. Round i to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1028 - 1036 - (1 + (0 - 12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juuu when four letters picked without replacement from {j: 4, u: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6645 by 443.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29429*c - 43711.\nAnswer: 29429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w = 28*w - 126. Let x be (6\/4)\/(6\/36). What is the highest common divisor of w and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197297 (base 10) to base 2\nAnswer: 110000001010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/25 - 41\/75. Let l = -0.019 + -3.281. Let k = -3.4 - l. Put -1\/5, h, k in descending order.\nAnswer: k, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.03, 2, 5, -4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-117723)\/18 - -15) + -5*2\/(-60). Is x at least as big as -6527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28872674851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*b + 22. Let w(u) be the third derivative of 0*u + u**2 + 1\/2*u**3 - 1\/4*u**4 + 1\/60*u**5 + 0. Calculate w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 + 51*r - 154.\nAnswer: 51*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + (-4 - (33 + -17 - 11) - (0 - -2))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 58*w + 74. Let x be a(-18). Find g such that -x*g**2 - 10\/7*g**5 + 2*g**4 + 0 + 6\/7*g**3 + 4\/7*g = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + 24. Let z = 25 + -13. Is 2\/z - (-113)\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/4*10*(-8100)\/4590?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(8) - (-3 + sqrt(13) + -1).\nAnswer: -sqrt(13)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68585.707352 + -68586. Let x = -0.292 - s. What is x rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27e8 (base 16) in base 10?\nAnswer: -10216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (4 + 7 + -11) - -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 16. Suppose -4 = z*n - 24. Which is the nearest to -0.1? (a) 2\/7 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b - 34 - 170. Solve -4*y = -b, -y = -s + 3*s - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 - 3355*p**2\/2 + 2808967*p\/2 + 8457123\/2.\nAnswer: (p - 1679)**2*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1666, 3358, 5068, 6796, 8542, 10306?\nAnswer: 12088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38 + 0?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qotopqoo. Give prob of picking 1 q, 2 o, and 1 t.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from idnd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 147170 at least 147172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2716, 21768, 73482, 174190, 340224, 587916, 933598, 1393602?\nAnswer: 1984260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*y**2 - 4*y**3 - 31*y**2 - 26*y**2 - 28 - 24*y**2 - 111*y**3 wrt y?\nAnswer: -690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 535, 1\/7, 35, -6.5 in ascending order.\nAnswer: -6.5, 1\/7, 35, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3205 to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -906 + 994. Calculate the remainder when 436 is divided by p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 3) in base 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000381 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**3 - 5*w**2 + 2*w + 2. Let d(h) = -3*h**3 + 4*h**2 - 2*h - 2. Let x(i) = -5*d(i) - 4*z(i). Let y = -405 - -403. Give x(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 30 = -94. Suppose -13 = -2*r + 3. What is the greatest common factor of o and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/12 - 43*a. Let f = 2 + -2. Calculate m(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312881 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -95*c - 15*c**2 + 5*c**3 + 90 - 48*c + 95*c**2 - 32*c = 0.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.044 + -14.956. Let p = y + -53. Let n = p + 67.99945. Round n to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 50 + 0 + (0 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2259 times 0.3\nAnswer: -677.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010089 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-322)\/(-10) - (-620 + 643)\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-7))*o)\/o**(8\/3))**(-27) assuming o is positive.\nAnswer: o**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*n = 17*n - 77*n + 527 + 766 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 38201*d**2 - 364695360*d - 2554739712.\nAnswer: -(d - 19104)**2*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/14)\/(-3)*(-1)\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*s + 7 = -2*u, -2*s + 3 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35531332 + -0.28498?\nAnswer: 35531331.71502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 4, w: 13}. Give prob of sequence xww.\nAnswer: 26\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.092831809 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 2377707.\nAnswer: -31\/2377707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 + 17 - 1) + (0 - -5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 32 - (2 + -4 - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1656062 - -420?\nAnswer: 1656512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)*i\/(i*(i*i\/(i**(-5)*i))\/i))**0)**(3\/29) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhzrzhrrz. What is prob of sequence rh?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 1 + 1 - -8 - -4 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -94 (b) -17 (c) 7193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/24)*y*y*y)**(-3\/11)\/(y**(-3\/10)\/(y\/y**0)) assuming y is positive.\nAnswer: y**(87\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 76. Let v = k - 2. Suppose 0*x = -x + v. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + c**2 + 1. Let t(y) = 4*y**2 + 3*y + 2. Let w(g) = 5*g**2 + 4*g + 3. Let i(h) = -4*t(h) + 3*w(h). Calculate f(m) + i(m).\nAnswer: m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 1)*(9 + 3*m - 2*m - 3*m) + (-53 + 30 + 35)*(-m + 3*m - m) as k + z*m and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -433589 by 32.\nAnswer: -433589\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 91.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 + q**2 - 11*q**2 - q**2 - 2*q**2 + q**2 + (-2 - q + 2)*(2 - 2 + 2*q) + q**2 - 3 + 3)*(q - q + 10*q**3).\nAnswer: -180*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + u - 9, 0 = 5*t + 5*u + 624 - 629 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(44\/(-8))\/(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55805*h**3 + 111761*h**3 - 55893*h**3.\nAnswer: 63*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h + 2. Let o be w(2). Suppose 0*n - 5*n = 2*u - 26, -5*u = -15. What is the remainder when n is divided by o\/(-3)*(-1)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -14 - 5\/2*w**4 + w**3 + 1\/2*w**2 + 0*w. What is the second derivative of p(b) wrt b?\nAnswer: -60*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3930 - 3930.5. What is the closest to 1\/4 in c, -9, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/7*80\/30)\/1\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 2) + 7 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 + 4548*o**4 + 58797*o**3 + 270876*o**2 + 505200*o + 288576 = 0.\nAnswer: -1503, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 - 2*c**2 + 2*c**2 + (-11765 - 29*c + 11765)*(3*c - c + 0*c) + 4*c**2 + 6*c**2 + 0*c**2.\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1868 = 4*v - 171*m + 169*m, 1380 = 3*v + 2*m. Calculate the lowest common multiple of 1044 and v.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15176\/11 in 1, 1\/2, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.4654\nAnswer: -0.18616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9437 - -0.0777. Let a = -0.174 - d. What is a rounded to two decimal places?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose 0 = -4*t - n + 8, y = 8*t - 3*t - n - 10. Let h(g) = g**3 - g**2 + 4*g - 3. Calculate h(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1206132, 4, 1 in increasing order.\nAnswer: -4, 1, 4, 1206132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 979, 957, 935, 913?\nAnswer: 891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**3 + 2*k**2 - k. Let w be o(1). Suppose 18 = 4*q - w. Suppose 3*r - 9 = q. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/103)\/x*x**13 assuming x is positive.\nAnswer: x**(1238\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*p + 54*p - 2. Put 1, -5, p, -116 in decreasing order.\nAnswer: 1, p, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34203*z - 5721*z + 12351*z.\nAnswer: 40833*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h. Let v(b) = -2*b - 40. Determine j(v(a)).\nAnswer: 4*a + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -7, -0.4, -113, -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 2*w - 5*j, -2*j = 2*w - 5*j - 108. Let l = w + -39. Suppose -l = -5*u + 3*c + 37, -c + 74 = 5*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162 + -131. Suppose h*j = 34886 + 24665. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*20\/(-525))\/(6\/21*1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(sqrt(51) - (sqrt(7344) + sqrt(7344)*-1))\/sqrt(3) + -2)**2.\nAnswer: -48*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1016340, -1016342, -1016344, -1016346, -1016348, -1016350?\nAnswer: -1016352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2221.2 - 2054. Let w = -167 + a. Let s = -1.4 - -1. Put w, 4, -5, s in decreasing order.\nAnswer: 4, w, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**9\/60480 - r**8\/6720 + r**7\/1680 - r**6\/720 + r**5\/15 + 3*r**2. Let s(i) be the third derivative of h(i). Factor s(v).\nAnswer: (v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:24 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 = -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -168 or -169?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - 5*i)*(-3*i**2 - 2*i**2 + 4*i**2).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -58. Suppose 0 = -w*f + 5*f + 124. Suppose 4*b - g = -4*g + 69, 5*g = -2*b + f. Calculate the smallest common multiple of b and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4279 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4\/5 (c) -0.05 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 1. Let g(v) = 5*v - 14. Let u(c) = -g(c) + 4*l(c). Let a be u(9). Let p = a + 85. Calculate the remainder when p is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658*i - 654*i - 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**3 + 184*s**2 + 471*s - 79. Give y(-34).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3, 2*g + 0*x = -3*x + 9. Solve 27*s**2 + 14*s**3 + 7*s**g + 8*s - 2*s = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 2 + 1 + b**2 - 16*b. Calculate the remainder when z(-9) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.219186ug to milligrams.\nAnswer: 0.001219186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -105287.0561 rounded to the nearest integer?\nAnswer: -105287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11542 and 597.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6327 divided by -3\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 8*o - 105. Let g be n(15). Put -5, g, -8, -11 in decreasing order.\nAnswer: g, -5, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 21 - -1) + (0 - 21) + 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 3*i + 5*h, h - 169 = -i - 2*i. Let l = -40 + i. Solve -2*t = a - 5*a + l, 0 = -a - t - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m + 8 = 0. Suppose v + m*v - 3 = 0. Let f(c) = -1. Let l(n) = -3*n - 5. Let x(a) = v*f(a) - l(a). Differentiate x(p) wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 9*r + 45. Solve 3*z + 4*x = -12, 3*z = 3*x + 2*x + r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -x - 3*x - 4*a, 0 = 3*a - 15. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218.13 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*w**3 - 262*w**2 + w - 7614 wrt w.\nAnswer: -15*w**2 - 524*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/126 + (-4)\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 2. Let w be 44\/33*(-15)\/2. Let j = w + 5. Let q = -3 - j. Determine x(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1339, 0, -5, 1 in ascending order.\nAnswer: -1339, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6, 3*j - 10 - 1 = 5*a. Suppose 20 = j*k - 3*k. Let w = k + 18. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122 is divided by 126?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 23*p - 134. Let c be r(8). Suppose -j - 1 = -3. Factor l**j + c - 253 - 6*l - 4*l.\nAnswer: (l - 11)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-46 - (-65 + -27)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(-2)*a))*a)\/(a*a\/(a**14*a))*a**(-11)\/(a\/(a**8\/a)))**(4\/21) assuming a is positive.\nAnswer: a**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 9:02 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89058, -89627, -90192, -90753, -91310, -91863?\nAnswer: -92412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Let v(c) = 4*c - c**2 + t*c - 3*c. Give v(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = m + 2*m. Let q = -44\/39 + 19\/13. Which is the second smallest value? (a) 1\/7 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*d)*(4 - 5 + 3) - d + 3*d - d - 3*d + 0*d + 4*d - 2*d + d - d + 0*d + 0*d - 3*d)*(-385*d - 443*d - 568*d)*(2*d**3 - d + d - d**2).\nAnswer: -2792*d**5 + 1396*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 1. Let z(j) = -j + 1. Let i(r) = -5*f(r) - 4*z(r). Let m be (-11 + 4 + -7)*(-2)\/(-4). Calculate i(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 41 + 60*f - 31 - 146*f)*(3 - 1 - 3).\nAnswer: 86*f + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*l**3 - 79*l**3 + 15*l**3 + 3576*l**2 + 25*l**3 + 20*l**3 as v*l**3 + n*l**2 + r*l + k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101111000 + -11?\nAnswer: -10000101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**2*u**3 + 6*m**2*u + 62*m*u**2 - 11500*u**3 wrt m?\nAnswer: 4*m*u**3 + 12*m*u + 62*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/sqrt(6) - (sqrt(156)*-1)\/sqrt(12)) + (sqrt(13) - ((sqrt(117) + 3)**2 - sqrt(117)) - sqrt(13)) + sqrt(52)\/sqrt(16).\nAnswer: -126 - 23*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30718, 30817, 30916, 31015, 31114?\nAnswer: 31213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 17908956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:51 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 13 = -2*p. Suppose 0*f = -p*y + f + 46, -5*f - 21 = -y. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*m**4 - 12130*m**3 + 48940*m**2 - 49080*m.\nAnswer: -5*m*(m - 2)**2*(7*m + 2454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -972.9?\nAnswer: 291.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 194 + 30. What is the remainder when 7391 is divided by r?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.37 in -5, 886, 31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/6*(-2475)\/825?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -6, -18, 4 in increasing order.\nAnswer: -18, -6, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4915, -1, 0 in descending order.\nAnswer: 0, -1, -4, -4915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34\/9 - -127\/36. Put s, -4, -1\/6, 5 in ascending order.\nAnswer: -4, s, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 93\/2? (a) 5 (b) 2\/87 (c) -1 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) + 1702\/184?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9723)\/(-23613) + 3\/34.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2 - -5)*1)\/1. Let w = -23 - -35. Solve m*o + 3*b = -0*b + w, 2*b = 5*o + 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 - 421*x**2 - 109*x - 369. Calculate the remainder when 127 is divided by i(-105).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -33.9?\nAnswer: 29.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + o - 2. Let x(u) = 186*u**2 - 3*u + 5. Determine -3*d(s) - x(s).\nAnswer: -180*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44410 - -20?\nAnswer: -44350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1.9. Let u = 3.1 - a. Sort u, 4, -3\/8 in increasing order.\nAnswer: -3\/8, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1.5, 6.17 in descending order.\nAnswer: 6.17, 1.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3964786 or 3964643?\nAnswer: 3964786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.13, 21.8, 81?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 5. Let n be 7\/(-2) - ((-5967)\/18)\/39. Factor -2*u - n*u + k*u**2 + 5*u.\nAnswer: 2*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + 4 + 14 + (4 - 2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9)*k)\/(k\/(k*k\/k**(-13))) assuming k is positive.\nAnswer: k**(133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(6\/9 + 0). Solve 2*k = k + c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from sddddsddddddddddsd?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**3 - 40*v**2 - 2*v - 5914 with respect to v.\nAnswer: -6*v**2 - 80*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1603\/279 - 61\/31. Calculate the common denominator of 43\/10 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14991847489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 + 3712*a - 861184 = 0. Calculate a.\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-414)\/63 + 4 + (-6)\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 - 21*y - 3 + 1 + y**3 - y**2 + 22*y. Give r(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/11, 4, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (14 - (10 - (-26 - -27))) - -75\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7.838 or -21?\nAnswer: 7.838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - -1.3. Which is the nearest to i? (a) -1\/3 (b) -0.4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147498469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001158872 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1435129, 1435122, 1435117, 1435114, 1435113, 1435114?\nAnswer: 1435117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 t when three letters picked without replacement from bwwcwwjbwt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15249657*r**2 + 280*r - 4646.\nAnswer: 30499314","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 - 76. Let z(s) = 34*s + 14. Is 26 a factor of z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*x + 32*x**2 - 84*x + 19*x wrt x?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 166*r - 473. List the prime factors of k(48).\nAnswer: 5, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594*b**3 + 624*b**3 - 2978*b**3 + 602*b**3 + 599*b**3 + 600*b**3.\nAnswer: 41*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 174 = -139 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, p: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/100 and -14\/75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 2:45 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10376 - 4336. Suppose -12*y + 10076 = -b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29356.6 and -0.1.\nAnswer: -2935.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -176 - -107604?\nAnswer: 107406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 822836 or 822747?\nAnswer: 822747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3871?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + 2*g - g**2 - g + (1 - 2 + 0)*(2*g**2 - 4 + 4) + 3*g**2 - 3*g**2 - 2*g**2 + 3*g**2 - g**2 - g**2.\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 at most as big as -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*l*w**3 - 37*l*w - 471*l wrt w.\nAnswer: -12*l*w**2 - 37*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/130)\/(6\/10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11077*c - 3*a = 11071*c - 22144*c + 8, -3*a = 6*c + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0525171 - 4484098.\nAnswer: -4484097.9474829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1638 and 2886?\nAnswer: 60606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385689?\nAnswer: 3, 128563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3\/5 + 10196*i**2 + 324819064*i\/5 - 649842064\/5 = 0.\nAnswer: -12746, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -2*r**6\/3 - 148*r**5\/5 - 248*r**4 - 1856*r**3\/3 + 384. Let t(v) = 0. Calculate v.\nAnswer: -29, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 24*n**2. Let j(h) be the second derivative of h**3\/6 + 21*h. Give l(j(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 12*y + 86. Let l = -58 - y. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/15)*z))\/z*z*z**(-1)*(z*z**(2\/7))**(1\/24)*((z*(z*z**(2\/11)*z)\/z)\/(z\/(z\/(z*z**(-6)))))\/((z*z\/(z**(3\/2)*z*z))\/z**(-2)) assuming z is positive.\nAnswer: z**(42523\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/12 + v**3\/2 - v**2\/2 + v. Let z be r(-4). Suppose -z*x - 8 = -5*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**2. Let n(f) = 16*f**2. Calculate h(n(p)).\nAnswer: 1792*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f**2 - 62*f - 6. Let h(g) = 33*g**2 - 170*g - 17. What is 4*h(l) - 11*u(l)?\nAnswer: 11*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -21. List the prime factors of ((-24)\/i)\/(54\/900).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001101 + -1001111001010?\nAnswer: -1010100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112840)\/(-16275))\/(4\/10).\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h. Let w(x) = -2*x. Let q(j) = 13*j. Let u = 73 + -77. Let g(a) = u*q(a) - 36*w(a). What is g(f(d))?\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*l + 149. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(1\/(5\/10)) + 9763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 946 + -469. Suppose -12 = 2*r + 4*i, 0 = -3*i + 4*i + 5. Suppose -a = r*v - 7*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81\/538 or 61?\nAnswer: 81\/538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -9*g**2 - 52*g**2 - 4*g**2. Let f(w) = -69*w**2 - 66*w**2 - 73*w**2 + 209*w**2. What is f(m(h))?\nAnswer: 4225*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 3*v - 3*v)*(1 + 1 - 1) + 3 - 110*v**2 - 5 + 111*v**2 - 3*v.\nAnswer: 4*v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/(-48)*-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*t - 70 = 0, -2*m + 4*m = 4*t + 116. Let s be (-6 - (-374)\/m)*2*-1. Which is the smallest value? (a) -5 (b) 3 (c) s (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 145\/45 - (-2)\/(-9). Suppose -z*x = 7 + 23. Let q = 26 + x. Which is greater: 17 or q?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141 + 459 - 142 - 165*l - 176.\nAnswer: -165*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17136 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 15 + (-5 - 16\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -774, -3002, -6696, -11880, -18578, -26814?\nAnswer: -36612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + 17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k - k - 4*k + (-3 + 7 + 10)*(k + 3*k - 6*k).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.83 (b) -3\/7 (c) -4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*z - 2824*z + 260700 = 0 for z.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -56, -24, -29, 2, 72 in increasing order.\nAnswer: -56, -29, -24, -3, 2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 7. Let q be l(-5). Suppose 0 = -2*d - q*d + 150. Let o be (-2)\/(-5)*d\/12. Solve 0 = -5*v - o - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 550515?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 2*s + 9657*s**2 - 37 - 2*s - 9653*s**2 to m*s + b + u*s**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y**3 - 4822*y**2 - 13071*y + 3240 = 0 for y.\nAnswer: -135, -3, 8\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -17*i - 418. Give w(-9).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*g - 130. Let b = g + 50. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-5\/2)\/((w**(1\/2)*w*w**(-2\/9))\/(w**(-1\/6)*w**2)) assuming w is positive.\nAnswer: w**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7\/o*o*o\/((o**22*o)\/o) assuming o is positive.\nAnswer: o**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-3)\/((-18)\/(-75)). Let f = -22 + l. Suppose f - 229 = -2*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5320\/(-1344) + ((-7)\/140)\/((-2)\/(-15))?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 3.5, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**3\/2 + v**2\/2 - v - 84. Suppose -3*m + 2 = -4. Determine w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411016965 is divided by 2917.\nAnswer: 2914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = -4*l + 5*w, -5*l + 15 - 567 = -4*w. Suppose -53 = 5*x + 297. Let d = x - l. Calculate the remainder when d is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -765 - 766 + 1531 + 1747*z as f + h*z and give h.\nAnswer: 1747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 8*k - 6. Let f(c) = -2*c - 2. Let l be f(-2). Let o(d) = d**3 + 1. Let b(m) = l*o(m) - x(m). What is v in b(v) = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**3 - 4160228*u**2 + 16640888*u\/3 - 5546960\/3.\nAnswer: 2*(u - 693370)*(3*u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7244 divided by 42918.\nAnswer: 3622\/21459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(21\/(-9) + 3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1256457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-128)\/(-44) - (-1221848)\/(-28688))\/(3\/6)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - 2*x + 1. Let m be z(2). Let i(u) = -11*u**2 - 4*u - m + u + u**3 + 15*u. List the prime factors of i(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24511515 (base 6) in base 16?\nAnswer: c0287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -10. Solve 0 = -5*z + z - v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnnn when four letters picked without replacement from {n: 2, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.05 + -0.05. Let m = x - 2.4. Let f = -6.3 + m. What is f rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3674*j**2*q**2 - 10*j**2*q - j*q**2 - 3*j - 227*q**2 - 107*q - 74 wrt q.\nAnswer: -7348*j**2 - 2*j - 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 1250 + 524. Let g = q + 301. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12295 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/6)\/(1\/(-3)). Let u(l) = 6*l**3 + 4*l**2 + 7*l - 4. Let o(r) = r**3 - r**2. Let d(c) = -5*o(c) + u(c). Let b be d(a). Solve -b*h = -0*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**4 + 6*r**3 - 7*r**2 - 8*r - 2. Let u(f) = 7*f**4 + 7*f**3 - 7*f**2 - 7*f - 3. Let p(m) = -3*b(m) + 2*u(m). Suppose p(w) = 0. Calculate w.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/10*(1 + -1). Let d = 2 - u. Let n(a) = a**3 - 3*a**2 + 2. Calculate n(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1964343 or 1964341?\nAnswer: 1964341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16.1 (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93692 and 427172?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 166666*p**2 + 6*p. Let m be y(9). What is m rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (485\/45 - 5 - 6)*(-6)\/8. Let d(r) be the third derivative of s*r**4 - 7*r**2 + 0 + 0*r - 8\/3*r**3. Differentiate d(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 100*f**2 + 90*f - 10. Let w(k) be the second derivative of 5\/3*k**3 - 1\/2*k**2 + 7*k + 11\/12*k**4 + 0. Let u(o) = 6*h(o) - 55*w(o). Factor u(q).\nAnswer: -5*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7103*y**2. Let s(a) = 2*a**2 + 324*a - 6. Let n(w) = -2*w**2 - 270*w + 5. Let u(c) = 6*n(c) + 5*s(c). Give f(u(h)).\nAnswer: -28412*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-23)*u*u)\/u*u*u*u)\/(u**(-7\/5)\/u) assuming u is positive.\nAnswer: u**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 639396, 639394, 639392, 639390, 639388, 639386?\nAnswer: 639384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66366\/44244*32\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -7*a**5\/20 + a**4\/3 - 25*a**2\/2 - 46*a. What is the derivative of y(r) wrt r?\nAnswer: -21*r**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -63, -118, -173, -228?\n\"Answer: -55*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113608675.3962251 + -8611159.3961841. Let u = 104997468 - w. Let p = 48 + u. What is p rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2\/9, -2\/4079 in decreasing order.\nAnswer: 2\/9, -2\/4079, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20412 and 22?\nAnswer: 224532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 658591*n**5 + 314984*n - 2 wrt n?\nAnswer: 13171820*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -256*((-540)\/(-675))\/(64\/20)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 254, 113, -82, -301, -514?\n\"Answer: 5*j**3 - 57*j**2 - 5*j + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 268 - -80. Let z = -383 + q. What is the nearest to 0 in -0.4, z, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 386 - 1581\/4. Find the common denominator of s and 655\/(-110) - (-206 - -200).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*p = 89*p - 2919. Suppose 5*c - p = 101. List the prime factors of c.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3aa + b5?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 5. Let n(w) = 2*w - 4. Let a(f) = f. Let h(m) = -m**3 - 4*m**2 + 2*m. Let v(b) = a(b) - h(b). Let p be v(-4). Determine p*l(q) + 5*n(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8239 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 0.00592, 4\/11, 42 in decreasing order.\nAnswer: 42, 4\/11, 0.06, 0.00592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/20)\/(3\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1852720860.7 to the nearest ten thousand.\nAnswer: 1852720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00464077 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5336 divided by 4?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (5 + 2*sqrt(108) + sqrt(108)) - (4 + sqrt(108) + -1) - ((sqrt(3) + -3)*-5 - 5*(sqrt(3)*-3 - sqrt(3))))**2.\nAnswer: 1518*sqrt(3) + 3796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 277*z. Let x(u) = -21*u**2 - 4*u - 2. Give d(x(r)).\nAnswer: -5817*r**2 - 1108*r - 554","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25757 (base 10) in base 3?\nAnswer: 1022022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = 3*m. What is the units digit of ((-91)\/m - 3) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 760030, 760029, 760028, 760027, 760026, 760025?\nAnswer: 760024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3681797 and -4.09053?\nAnswer: 3681801.09053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, -205, -0.3, -1\/3, -0.01, 0.3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2423 (base 9) to base 4.\nAnswer: 130023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -36. What is the first derivative of x*g**2 - 28*g**3 + 29 + 2*g**2 - 8*g**2 wrt g?\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 + 103558982.\nAnswer: 103558981.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(153) + -1)**2*3 + 3.\nAnswer: -36*sqrt(17) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1325)\/(-2650))\/(((-4)\/(-2))\/116)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.3 in 0.36, 1\/9, 8, 3, -0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f + 26 + 31 - 56. Suppose 10 = -8*x + 26. Let r(w) = -1 - 2*w + 1. Calculate x*p(b) - 3*r(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 9*x**2 + 8*x - 4. Let y be c(10). Let j be (-7)\/(21\/12) - y\/9. What is the nearest to -0.1 in -4, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*u + 102*u + 50 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 577*o - 641*o - 206*o + (0 - 4 + 2)*(0*o - 2*o + o).\nAnswer: -268*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 69. Determine l(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 9. Let a be f(6). Let n be -1 + (-1 - 0)*a. Suppose -2 = -h + n. Solve 0 = -h*l + 12 + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 80080 = -537*m. Let h = 21 - -7. Suppose -j - h = -3*j. What is the highest common divisor of j and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21636?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10979 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -14*t + 266. What is c(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/45 in -2\/3, -827, 5, -1, 82?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -9 - (-6 + 4). Let b(k) = k + 10. Let i be b(v). Solve x + 2 - i = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 4*y**2 - 11*y - 71. Let p be f(-7). Let u = 270 - p. Calculate the highest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/14*70\/20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 12*r + 8. Let z(q) = -q**2 - q - 2. Let c(y) = -a(y) - 4*z(y). Let f(s) = -s**2. Give c(f(h)).\nAnswer: 2*h**4 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, -5, -77, 22, 1, 3 in increasing order.\nAnswer: -77, -5, 1, 3, 22, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8*r**3 + 17 + r**3 + r + 5*r**3 + 0*r**3 + 303*r**2 - 301*r**2. Determine n(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.2 + 4.8. Let b = 0.1 + s. What is the second biggest value in 0.2, b, -22?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21355*2121\nAnswer: -45293955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = 2*y, 4*y + 96 = 4*m. What is the greatest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 1*2 - (-84)\/(-63)*-3.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*k = 3*m - 67*k - 14, -2*k = 5*m + 2. Sort 107, -1, 4, m in ascending order.\nAnswer: m, -1, 4, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**4\/8 - p**3\/6 - 4*p**2. Let o be s(-2). Let u be -1*(-2)\/(-3)*-3. Sort o, u, -4 in ascending order.\nAnswer: -4, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 5)\/((-1 + -1)\/6). Let m be ((-15)\/(-2))\/(q\/(-10)). Is 25 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6986 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + 3*sqrt(104)*2)\/(sqrt(8) + (sqrt(24)\/sqrt(3) - sqrt(8))*-3))**2.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Let w(s) = 2*s**3 - 2*s**2 - 8*s + 3. Let v be w(3). Suppose 0 = -3*c - v - 6. Sort c, -4, m in decreasing order.\nAnswer: m, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3163905 is divided by 229.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*p - 77*p = 5*f + 31, f = -2*p - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*((v\/v**(1\/15))\/v*v)\/v*v*v*v**(-6)*v*(v*(v\/(v**(1\/3)*v))\/v)**13*(v*v*(v*v\/v**2)\/v*v**(-3))\/(v**(-1\/4)*v)**(4\/7) assuming v is positive.\nAnswer: v**(-309\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 2*m = -2, 4 = -x + 62*m - 63*m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 > 239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 196\/(-245) - 2\/(15\/(-36) - 0). Factor 0*l + 4\/3*l**f - 8\/3*l**3 + 0 + 2\/3*l**5 - 16\/3*l**2.\nAnswer: 2*l**2*(l - 2)*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/8)\/((-1)\/(-6)). Let h = 82\/21 - 13\/3. What is the nearest to 4 in -0.5, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*w + 1. Let n = -6604 + 6617. Solve n*r = 9*r + w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -224.1 - -215. Let g = k + -1.9. Let s = 11 + g. Do -6 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, -2, -543, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355, -357, -359, -361?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30539 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*w - 97*w - 93*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (500\/6)\/(1\/1056*-2). Round b to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = l, 2*d - 43 = l. Suppose 0 = -4*i + b + 16, 4*b + d = i - 0*b. Suppose 232*t - 2433 = 351. What is the remainder when t is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 220\/18 + (-12)\/54. Suppose -4*d + 8 = -z. Suppose 11 = 3*h + d*s, -3*h = -6*h - s + 31. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4284\/5281 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -169*m + 2688 + 429 + 94 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6943160 and 560.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 3*u + 27, 2*p + 7*u - 4*u = -0*u + 22 + 16 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fuuuuffuuuuuuuuu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g. Let i(f) = 115*f**2 + 230*f. Give i(z) - 230*u(z).\nAnswer: 115*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 + 12*y - 20. Let i be l(6). Let x be ((-3)\/(-15) - 0) + i\/40. Let m(j) = -7 + 0*j**3 + 8*j - 2 + 5*j**2 - j**3. Give m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 11) + 59 + -40?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*o**2 - 4\/5 - 4\/5*o + 4\/5*o**3.\nAnswer: 4*(o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381108070, 762216142, 1143324214, 1524432286?\nAnswer: 1905540358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125 - -77. Let g(t) = t**3 - 8*t**2 - 39*t + 15. Let p be g(11). Let o = r - p. Solve -o*j + 4 - 16 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-6 - sqrt(5))**2 + 5 + sqrt(5)*-1 - (sqrt(125) + (sqrt(125) - (sqrt(125) + 2 + 3)**2)).\nAnswer: 39*sqrt(5) + 1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w + 9. Let r be 1\/(2 - (0 - w)). Let l(s) = s - 1. Let i be l(2). Sort i, -4, r in increasing order.\nAnswer: -4, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 28*g**2 - 2541*g + 19030. What is v(8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 130690085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 9677000 to the nearest 100000.\nAnswer: 9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8475.606cm?\nAnswer: 84756.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -126605.634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 884783 divided by -4.\nAnswer: -884783\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-55))\/((-62)\/(-155))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -3, -2\/17, 1\/7, 0.1 in descending order.\nAnswer: 1\/7, 0.1, -2\/17, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146758210.\nAnswer: 2, 5, 14675821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 u when four letters picked without replacement from {u: 1, p: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-394694)\/12*(-4)\/(-18). Let t = m + 7311. Calculate the common denominator of (-82)\/(-6) - (23\/(-3) + 7) and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -58.91 (b) 5 (c) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5497*k - 15884 wrt k?\nAnswer: -5497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l**2 + 46*l - 23. Let o(v) = 3*v**2 - 15*v + 8. Let h(n) = -2*j(n) - 7*o(n). Let w be h(12). Solve 0 = -p - 2*z + 5, p + z - 8 = -w*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5944*l**2*z**4 - 2*l**2*z**2 + 4*l*z**2 + 112*l*z - 223*l + 4384*z**5 + 4 wrt z.\nAnswer: -142656*l**2*z + 263040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 1. Let z = 5 + -4. Suppose -3*x + g = -z, 5*g - 13 = -3*x - 0*g. Let h(a) = -a**2 + a + 5. Calculate x*h(b) + 5*k(b).\nAnswer: -6*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w + 6. Suppose 3*d + 60 - 45 = 0. Let y(i) = 3*i + 5. Give d*y(c) + 4*f(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26988\/(-157430)*1\/((-1)\/(-20)))\/(10\/14).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5510956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 12 + 28. Let a be (v\/18 - 0)*3. What is the nearest to 4 in 3\/7, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 39*o**2 + o. Let d = 4 + -2. Suppose -2*a - d*u = 2*u + 18, -u - 7 = 3*a. What are the prime factors of v(a)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixiffffhffivh. Give prob of picking 1 i and 1 v.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 16 = q, -35*q + 595 = 4*f - 2*f + 3*f + 1845 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 5*g**4\/24 + 295*g**2. What is t(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 3:39 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21057, 21055, 21043, 21015, 20965, 20887?\nAnswer: 20775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -44268?\nAnswer: -44260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(243)*1 - sqrt(243) - (-5*(sqrt(243) + -1) + sqrt(243)))**2 + 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3889881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from hhhhhxhhhxxhhxxhhhx.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -495618 + 495618.3. Let f = 4.6 - 9.3. Let t = f - -5. Which is the nearest to d? (a) 2 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 28*r - 1248. Determine f(60).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(7) + 3)**2 - (sqrt(3) + 4*sqrt(3)*-2 + 5))*3.\nAnswer: 48 + 57*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42435 - 4759?\nAnswer: -47194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - l - 1. Let z(j) = -66*j**2 + 5*j + 6. Let n(i) = -5*t(i) - z(i). Let q be n(1). Let h = q + -30. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273 - -433 - 192 - ((1 - 22) + 1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 1. Let t(z) be the second derivative of z**3\/6 + z**2\/2 + 4*z. Let w = 2 + -3. Calculate w*n(i) - t(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -188 + 191. What is the biggest value in -2\/11, -0.12, -2\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6473 divided by -288?\nAnswer: 6473\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 114*i - 18055. Calculate x(141).\nAnswer: -1981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644270 is divided by 2040?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 614.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -55 and 0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1064\/42)\/(-127 + 131)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 2. Solve 5*h = a*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 - 4*k**5 + 17*k**5 + 3*k**5 + 4*k**2 - 4*k**2 + (-2*k - k + k)*(4*k**2 - 4*k**2 - 2*k**4) + 3*k**5 + 2*k + 5*k**5 + 0*k.\nAnswer: 27*k**5 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/4)\/((-78)\/(-12)). Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 25. Let a = t - 10.1. What is the closest to 0.1 in 3, a, -3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 5:22 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 48*q + 23. Let a(x) = -x**2 - 2. Let u be (3 - 1) + (21 - 19). Let o(g) = u*a(g) - t(g). Differentiate o(b) with respect to b.\nAnswer: -6*b + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (37 - -31) + -1 + -2?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/12)\/(9 + 1*(-105)\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90315 by 405.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 320\/1071 + -2\/153. Which is the second smallest value? (a) -9 (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:20 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**3 + 3*r**2 - 9*r - 4. Let h(q) = q**3 - q**2 + q + 1. Let a be ((-70)\/(-25) - 2)\/((-5)\/25). Calculate a*h(u) - i(u).\nAnswer: u**3 + u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 7:49 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/(-2 - (-276)\/136). Let z = 55 - o. What is the nearest to -7 in -5, 1, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 3*o**2 - 6*o. Let u be j(-3). Let n = u - 10. Suppose -3*k + 74 = n. Calculate the remainder when 40 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8534*l. Let w(f) = 6*f**2 + 101. What is w(r(z))?\nAnswer: 436974936*z**2 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -37*k**3 - 7*k**2 + 32*k - 10. Let h(b) = b**3 + b**2 - b + 2. Let o(t) = -3*h(t) - y(t). What is the second derivative of o(f) wrt f?\nAnswer: 204*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 greater than or equal to 291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.4205 + -0.5795. Which is greater: -0.0236 or d?\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 2)*(-611 + -22) 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 {f: 2, n: 1, u: 2, p: 4, l: 2, x: 6}. What is prob of picking 1 p, 1 u, and 2 f?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = 3*g + 6*c - 16, 2*c + 15 = -19*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*h + 31*h - 1700 = 25*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/488 and -83\/915.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 312478433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - 8*a**5 + 0*a + 3*a**5 - 2*a**3 + 0*a**3 - a**5 - 17*a**4 + 17*a**4 - 2*a**5 + (-2 - 2*a**2 + 2)*(0*a + 0*a + 2*a**3).\nAnswer: -12*a**5 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -192.3 + 192. Is 28 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 12:15 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 0.2 (b) -2 (c) -2\/7 (d) -98 (e) 0.034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0787 and -226.08?\nAnswer: 226.1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let p be 6\/4*(5 - d - 19). Is 31 a factor of (-8)\/p - (-556)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l - l)*(165 + 148 - 349)*(2*l + 0*l - 3*l).\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {y: 1, z: 1, i: 1, q: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - y = -7, -5*z + 0*z - 1 = -3*y. Let m be 2\/(-1 - z) - 1. What are the prime factors of (1\/m)\/((-7)\/224)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (-3 + sqrt(200))*-1 + (sqrt(200) - 1*sqrt(200)) + 1)**2 - ((5*(-3 + sqrt(2) + (sqrt(2) - (sqrt(50) + -1))))**2 + -5).\nAnswer: -529 - 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(19)*1 + 0 + 2 + 4 + (sqrt(1216) + -5*(sqrt(1216)*2 + sqrt(1216)))**2.\nAnswer: sqrt(19) + 238341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 19. Let p be q(5). Let l = 15 + p. List the prime factors of 2\/3 + 56\/l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v. Suppose 0 = 4*c + 2*k - 194, v = 3*c - 5*c - 5*k + 101. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32142 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -1458, -24, -2, 11 in decreasing order.\nAnswer: 11, -2, -24, -38, -1458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.1 (c) -10\/13 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2409 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -387, -1285, -3031, -5907?\nAnswer: -10195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-2) - 1005\/(-111)) + (-10)\/2\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by 53.\nAnswer: -120\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g - 4*g + 4 - 6. Let u = -3 + 10. List the prime factors of w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284589423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*y + 26*y - 46*y - 43*y + 18*y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 695316 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -35 (b) 0.08 (c) -3\/43 (d) 3\/2 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18153 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 108\/(-60)*15\/(-9). Sort 2, -5, -2, u in decreasing order.\nAnswer: u, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1745*s + 9295*s + 240*s in the form g*s + c and give g.\nAnswer: 7790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7913, -15810, -23709, -31610, -39513, -47418, -55325?\nAnswer: -63234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**2. Suppose 4*n - n + 9 = 0. Let y(g) be the second derivative of -g**4\/6 - g**3\/2 - g. Let o(w) = w. Let r(h) = n*o(h) - y(h). What is l(r(c))?\nAnswer: 24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 5*b + 284. Let q = b + -51. Calculate the greatest common factor of 45 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17066291 and 958.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11*i - 8\/11 - 2\/11*i**2.\nAnswer: -2*(i + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 87, 0.034?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1925, 5571, 11527, 19793, 30369, 43255?\n\"Answer: 1155*m**2 + 181*m + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -976*g - 13600 + 8506 = 17354 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 3003\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/814? (a) 3\/8 (b) 1\/4 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*4\/(-1). Let g = -157.58 + 153.58. Put 5, g, y in descending order.\nAnswer: 5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 9*i - 13*i. Let c = 8 - 6. Suppose 2*j = 82 - c. What is the remainder when j is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -51*b**4\/4 - 3521469*b**3 - 23200143*b**2\/4 - 2071431*b\/2 + 1242864 = 0.\nAnswer: -276192, -1, 6\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2109229 + 1372*o + 2109229 to the form c*o + u and give c.\nAnswer: 1372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -12. Suppose 6*b - 124 = d*b + 4*v, 0 = -5*b - 3*v + 255. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1410 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-4)*12\/(-10). Let k = -2\/43 - -51\/172. What is the nearest to k in 2\/11, j, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/11, 0.5, 3\/4, 2 in descending order.\nAnswer: 2, 3\/4, 0.5, -14\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(384) - sqrt(384)) - (sqrt(384) + 1*sqrt(384)*5))\/(sqrt(128)\/sqrt(4) - (sqrt(686) + sqrt(14))\/sqrt(7)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19*(-33)\/(-7524)*((-36)\/7)\/4.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -3 + 2)*-11. Suppose b + 2 = n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 divided by -1479?\nAnswer: 223\/1479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 3282894 = 4*s - 242524. Round s to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -7) + (-2 - 28) + 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from xwsxynny?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, p: 2, j: 4}. Give prob of sequence ptjp.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/20)\/((-9)\/(-30)). Suppose 5*y = -2*t - 13, 0*y - s*y - 16 = 3*t. Let n(f) = -f - 4. What is n(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*h = -13*u + 315*h + 4 - 15, -14 = 4*u - 2*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.5. Which is the nearest to 1? (a) -3 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and (11 + 1)\/((-4)\/(-2))?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 13*k**2 + 16*k + 14. Let w(c) = -4 + 6*c - 14 + 20. Let t be w(2). What is the remainder when v(t) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38 - 38 - 5*i**2 - 2*i**2 - i**2 + 7*i**2 + (0 - i + 0)*(2 + i - 2) + 3*i**2 + 3*i**2 - 8*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44866, -179582, -404102, -718432, -1122578, -1616546, -2200342, -2873972?\nAnswer: -3637442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20242401 - -340?\nAnswer: -20242011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 + 0.41. Let z = 6 - 3. What is the third smallest value in z, i, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 6. Does x = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 105*x**5\/2 - 717*x**4\/2 + 1695*x**3\/2 - 1695*x**2\/2 + 360*x - 54 = 0.\nAnswer: 2\/5, 3\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/147 + 65\/(-21). Put a, 5, 72 in descending order.\nAnswer: 72, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t. Suppose 3*v + 4 - 10 = 0. Let j(q) = 4*q - 5*q + 2 - v. Calculate b(j(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9945 - 0.0055. What is the closest to 1 in i, -1\/10, 13?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 5:36 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2209052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*t = 4, -3*q = 4*t - 3 - 0. Let l(o) = o**3 + o - 1. What is the units digit of l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*m**(1\/11)))\/m)**5*(m**(2\/15)*m)**19)**10 assuming m is positive.\nAnswer: m**(6956\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -269654887, -269654886, -269654885, -269654884?\n\"Answer: o - 269654888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + 0.6. Suppose 105 + 15 = -24*h. What is the nearest to 0.2 in c, 2\/17, h?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41\/39 - -5\/13. Put -1\/6, o, 3 in decreasing order.\nAnswer: 3, -1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/284199580 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {s: 7, m: 5, a: 1, p: 1}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2939 - 2060. Let o = 1315 - h. What are the prime factors of o?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 22167 = -5*i, 2*i - 6849 = -2*b + 4233. Is 100 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -720.49902 and -3.\nAnswer: 2161.49706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:35 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 87 (b) 0.2 (c) 0.3 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 3*t + 3*l + 164, 0 = 5*t + 3*l - 178. Let v = t + -33. Suppose -r = 4*z - 4*r - 5, 4*r - 14 = -v*z. Solve 6 + 2 = -z*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103168648*c**2 - 71361*c - 1367 wrt c?\nAnswer: -206337296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 - (-26 - -43))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/2))**23\/(d*d**(-7)*d*((d*d**(-5))\/d)\/d))**47)**(-46) assuming d is positive.\nAnswer: d**1081","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2037668056 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -4*l**2 + 20 - 12*l - 4\/9*l**3. Solve r(h) = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*a**3 - 8*a**2*i**3 - 4*a**2 + 41*i**3 + 21*i**2 wrt a?\nAnswer: -66*a**2 - 16*a*i**3 - 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) -39 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -34*n**3 - 14*n**2 + 14*n. Suppose 3*l + 2*g = 5, -50 = -41*l + 36*l + 5*g. Let a(s) = 11*s**3 + 5*s**2 - 5*s. What is l*w(q) + 14*a(q)?\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 470432 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 - 103.16. Let w = 107 + n. What is the nearest to 4 in 5, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -109db991?\nAnswer: -109db992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -3) + (1 - 2). Determine v, given that 2*v + 2*v**i + 2*v**3 - 2*v**2 - 4*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 5108400?\nAnswer: 15325200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + sqrt(136) + (sqrt(136)*2 + sqrt(136))*-4)\/(2*sqrt(200)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 (base 15) in base 16?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {c: 1, h: 1, t: 2, d: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 8*f**2 + f - 6. Let n be a(8). Let s(z) = 5*z**2 - z**3 + 3*z**n - 1 + 11 + 0 - 8*z. Let u be s(7). Solve -x + 2*x = u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(10*(-10)\/(-75)*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*c**3 - 306*c**5 + 16*c**3 + (3*c**2 + 0*c**2 - c**2)*(0*c**3 + 0*c**3 - 3*c**3).\nAnswer: -312*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -664\/316003 or -1?\nAnswer: -664\/316003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51965.65 years to centuries.\nAnswer: 519.6565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73727\/6 - -12374. Let a = t + -86. Factor -a*i**3 - 8*i + 2*i**2 + 32\/3.\nAnswer: -(i - 4)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 9. Let o(l) = 1795*l + 11. Calculate n(o(f)).\nAnswer: -3222025*f**2 - 39490*f - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5712 divided by 136?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert c65 (base 15) to base 5.\nAnswer: 42140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -13. Let l = -5 + s. Let w = 4 - l. Solve -4*g = w*k - 18, 2*g - 5*g = -4*k + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176406 - 2*g + 2*g - 176406 + 49*g**2.\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -16*t - 2*k - 3*k - 223, -6*t - 8*k = -9*k - 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v**2 + 2*v - 6. Calculate the remainder when 1\/2 - 1002\/(-4) is divided by m(2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 6 + 2 + (7 - 0) + -19?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111110000101101 (base 2) to base 15.\nAnswer: -1dc85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1498723577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12791 + -10547. What is the third biggest value in -1\/2, r, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2745076?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 122 = -2*w + 134, -3*b + 46 = -5*b - w for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 5*k**2 - 6. Let h be 470\/90 + (-2)\/9. Determine w(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -901, -974, -1047, -1120, -1193?\n\"Answer: -73*d - 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3532*j + 20986. What is v(6)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 + 1041 + 1101 - 2142.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9512 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: Which is the fourth biggest value? (a) -0.01 (b) -0.4 (c) -1 (d) -2 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**3 - 9*v + 14. Differentiate i(g) with respect to g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 2*p - 2*z, -z + 159 = 7*p - 4*p. Let c(g) = 67 - 120 + p. Let o(y) = -4*y**3 + 7. Determine 6*c(l) - o(l).\nAnswer: 4*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1819 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1 - w**3 - 5*w + 5*w**3 - 5*w**2 - 6 - 3*w**3. Let v be h(6). Let x(l) = -2*l**2 + 6*l - 7. Let c(r) = r - 1. Determine v*x(m) - 5*c(m).\nAnswer: -2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*m - 20 = 0, -3*g + 0*g + 8*m - 5847 = -5862 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 12 = 12. Let z(j) = 3*j**2 + 1 + 2 + 2*j - 1. Does 22 divide z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13033 + -321231?\nAnswer: -1000330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*c + 569, 5*v - 561 = c + 3*c. What is the second derivative of 2*r - 26*r**2 + 26*r**2 + v*r**4 + 65 - r wrt r?\nAnswer: 1356*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.756 - -22.6. Let r = n + -0.244. Let y = -0.1 - 0.4. What is the closest to 0.1 in y, r, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.7 - -0.7. Let v = -8 - r. Suppose 183*d - 199 = 167. Which is the closest to -0.1? (a) -3 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 68.52492um?\nAnswer: 0.006852492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243558*l + 243558*l - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-48))\/(7 + 29\/(-4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**3\/3 - 17*x**2\/2 + 29*x + 2072. What is o(16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/((-1064)\/(-42)))\/(-15)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = a + 4*k, -2*a - 4*k = -0*a - 202. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 684075 and 15?\nAnswer: 684075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.56472463 rounded to the nearest integer?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwj when three letters picked without replacement from {w: 2, j: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 19*u = 35. Let f be 1191*8\/30 - 14\/u. Suppose -f = -5*a + 82. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-4) + 15\/(-20). Let c(m) = m**2 + 3*m + 3. Let x be c(-3). Factor g*r**3 + r - x*r - r + 0*r.\nAnswer: 3*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58\/525, -1, 5, 0.8, 2, -5, 4 in decreasing order.\nAnswer: 5, 4, 2, 0.8, -58\/525, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/5337965 and -19\/160?\nAnswer: 170814880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (3 - (28 + 9 + -25)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*g - 3450. Let m = g - -581. Solve -9*i = -m*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s + 4*r + 26, 0 = s - r - 6. Let u(j) be the third derivative of j**5\/60 + j**4\/12 - j**3\/6 - 2*j**2. Calculate u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -39. Let i = h - -38.9902. Round i to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 39, -2, -1, -2.159?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1788695?\nAnswer: 5, 357739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -2 - 28\/(-4). Suppose -b*j + 30 = -g, j - 2*g = 3*g + 30. Solve j*o - 27 = -4*r, -3*r - 5*o + 18 = -2*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76.3 - 72. Let x = j + -0.3. Which is the closest to 0? (a) 1\/3 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 544.8 (c) -3895 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3344746 = -191*a + 9014673. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 30 = 5*c, -53*j + 51*j - 5*c + 30 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 12 + 32 = 0. Let a(n) = -5*n**2 - 9*n - 1. Let l(j) = 11*j**2 + 19*j + 1. Let d(b) = g*l(b) - 9*a(b). Calculate d(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Suppose -p - 3 = -s*l - 12, -4*p = 0. Let d be l*(-12)\/(-9)*9500. What is d rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*d + 80*d - 32*d)*(3 + 1 + 4 + 1).\nAnswer: 162*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -387 (base 13) in base 11?\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -s + 3*b, -2*b = -s + 1 - 3. Let y(q) = -q**2 + 13*q - 18. Let x be y(11). Solve -x*i + s = -0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288252*g**2 + 576849*g**2 - 288594*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 1.01\nAnswer: 1.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 17 = -178. Calculate the remainder when 49 is divided by (d\/(-6))\/(3\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4544678?\nAnswer: 2, 17, 349, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 6) to base 10.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102626236*u**5 + 96644487*u**2 - 1 wrt u.\nAnswer: 6157574160*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -5, -30, 0 in descending order.\nAnswer: 5, 4, 0, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s**3 - 8*s**3 - 111 + 9 - 2*s**3.\nAnswer: 6*s**3 - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4988, -5117, -5246, -5375, -5504?\n\"Answer: -129*z - 4859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-14))\/(87\/(-4582)*(-8)\/12)*-1?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.93 - -0.07. Let v be (9\/(-12))\/((-9)\/(-8) - 6). What is the closest to -0.3 in v, 3, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61575 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6790?\nAnswer: 2, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -3, -0.27, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 468793794 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 5*j - 5. Let k(v) = 20*v**2 + 32*v - 32. Let y(l) = 32*i(l) - 5*k(l). Let d(p) = -p**2. Give d(y(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwwwwwwjwwnnww. What is prob of sequence wjjn?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 824 + 2a?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/15 (b) -5 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-2)\/(-2) + (-72)\/36). Put w, 2\/3, 2\/13 in descending order.\nAnswer: 2\/3, 2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 384, 391, 398, 405, 412, 419?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -95*p + 65 + 655 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let s be 19 + 0 + (f - -1). Solve 5*g + n = 25, -n + 2*n - s = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*k + 0 - 4*k + 0.\nAnswer: -94*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 - -0.09. Let c = -0.9 + u. Let p = c - -1. What is the nearest to 1 in -5, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*x - 13. Let r(h) = 5*h - 3. Calculate r(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.675 - -81.675. Sort -4, h, -2 in decreasing order.\nAnswer: h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.5, -58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 536182 and 7.2896.\nAnswer: 536189.2896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h, 3*h - 2*h = 4*p + 348004. Round p to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(10\/7))*a)**(1\/10)\/(a**(-6))**(16\/7) assuming a is positive.\nAnswer: a**(957\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45949504 a multiple of 628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -706, -863, -1136, -1531, -2054, -2711, -3508, -4451?\n\"Answer: -l**3 - 52*l**2 + 6*l - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 452*i**2 - 10768*i + 35712.\nAnswer: 2*(i - 18)*(i - 4)*(i + 248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.16 and -226.41.\nAnswer: -219.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -24*a - 9. Let j be f(-1). Solve 2*u = j - 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0*c + 23\/6*c**3 + 1 - 62*c**2 + 1\/8*c**4. Let m(n) = -2*n**2. What is t(m(b))?\nAnswer: -6*b**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 7:59 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12309469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + -95. Which is the third biggest value? (a) -7 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4872*j. Let n(w) = -6*w**2. Give z(n(d)).\nAnswer: -29232*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42982031?\nAnswer: 29, 59, 25121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12772454 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 7*l**6\/180 - l**5\/45 + l**2. Solve i(u) = 0 for u.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*y**3 + 10*y**2 - 22*y**2 + 3*y**2 wrt y.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19715872?\nAnswer: 2, 11, 79, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (4 + -10 + 5 - -15 - 27).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.7708*1\nAnswer: 7.7708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*i + 28, -3*i - 5*n + 5 = -0*n. Suppose 5*z - o - 32 = 1, 0 = 3*z + 2*o - 12. What is the least common multiple of i and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -31. Suppose -2 + i = 3*m. Suppose m*v = -5*p + 17, 2*p + 2*v = 5*p - 14. What is the least common multiple of 5 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 14*u**2 + 20*u - 9. Let c be d(15). Suppose 5*w - c = w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 1. Let a = 3 - 3. Suppose -4*f + 4*s + 12 = -a, f - 3*s - 1 = 0. What is x(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-4 - -5))\/((-99)\/(-330))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 78 - 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -z - 510, -9*l + 102 = -8*l + 5*z. What are the prime factors of l?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 2\/65, -3, -4, 3?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11469073?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6246 - -6262. What is the nearest to 1 in 3, u, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 5*y**9\/3024 - y**5\/30 - y**4 + 12*y. Let o(h) be the third derivative of l(h). Differentiate o(v) with respect to v.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 2. Let u be v(-4). Let d(i) = -5*i**2 - u - 5*i + 3 - 14816*i**3 - 3. Let f be d(-3). Round f to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 0. Let p = v - 12. Is (2 + p)\/((-1)\/6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -450 = 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115997, 1, 0.11, 14.\nAnswer: -115997, 0.11, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -0.5, -23, 3, 1\/4, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(-3)*k**(-2\/9)*k\/(k*k**(-2)) assuming k is positive.\nAnswer: k**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 16*w**2 + 3 - 3.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b3a26 (base 12) to base 3.\nAnswer: -220120100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -119*j - 180 + 109 + 309. Factor -2*k + 2\/3*k**j + 4\/3.\nAnswer: 2*(k - 2)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l**2. Let i = -2 - -8. Let j(f) = 0*f + 4*f - i*f. What is j(y(g))?\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3, -1297 - 1799 = -4*a + 4*z. Calculate the highest common divisor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 + -101110?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 12.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87038719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 (base 11) in base 12?\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-110066)\/17608 + (-1)\/1. Let k = f - -2\/2201. Let l = 58 - 463\/8. Find the common denominator of k and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*y - 26, 0*y = -3*u + 5*y + 34. Suppose b = 4 + u. Solve 5*n = 4*g - 10, -2*n - b = -4*g + 2*n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1599*t - 7*t - 3176*t - 1793*t - 2890*t to the form m*t + d and give m.\nAnswer: -9465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.585203 decades?\nAnswer: 25.85203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*h + 509, -h + 107 = 5*y - 59. Calculate the highest common divisor of 38 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-1344)\/(-138) - -6. Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 27*m**2\/2 + 2318. Let j(x) = -25*x + 1. Calculate j(b(r)).\nAnswer: -675*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/7167 and 37\/9556.\nAnswer: 28668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 119. Suppose 3*c = 18 + 21. Let r = 25 - c. What is the remainder when z is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -25 (b) -0.3 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 21*u = 20*u - 144, 288 = 4*o - 5*u. Solve -13*h = -20 + o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9840140*h**2 + 9*h + 203290 wrt h?\nAnswer: 19680280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*b - 5*l, 5*b + 3*l - 6*l = 27. Find the third derivative of 3*d**2 - d**5 - 5*d**2 + 0*d**5 - b*d**5 wrt d.\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 22*i**2 - i - 6*i - 7*i**2 - 3*i.\nAnswer: 15*i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-54)\/(-30))\/((-3)\/10). Which is smaller: 0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7230.9084 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11101100100100011?\nAnswer: -11101100100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*z + 15*z - 11*z)*(-72*z**4 + 1046 - 1046).\nAnswer: 3312*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(-1055)\/422*8\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwz when three letters picked without replacement from {t: 6, z: 2, w: 4, d: 3}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 11:37 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 9:00 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2 - -3)\/(-1) + 2 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t + 17. What is the lowest common multiple of 3 and f(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22600993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -11 - (-29 + 17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 6, o: 2, d: 6, f: 3}. Give prob of sequence dd.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132593 is divided by 154?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.661 rounded to two decimal places?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4706762, -4706763, -4706764?\nAnswer: -4706765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + q + 9 - 2, -4*q + 11 = 5*y. Solve 6*s - 2*o - 8 = 4*s, -12 = y*s + 3*o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 3, t: 2, a: 1, i: 6}. Give prob of sequence ttu.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 29. Suppose x = 4*s + 5. Determine a, given that 4\/3 - 8\/3*a**3 - 8\/3*a**4 + 4\/3*a**s - 2\/3*a**5 + 10\/3*a = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1221\/2*i**2 + 18*i**4 + 0 + 363\/2*i + 204*i**3 = 0. What is i?\nAnswer: -11\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109694\/15 - 7310. Find the common denominator of -131\/6 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2974 - -83235\/28. Let q(b) = 2*b**2 + 9*b + 15. Find the common denominator of q(-6) and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 0*q + 1 - 3\/4*q**4 + 2*q**2 + 0*q**3. Find the second derivative of m(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(84\/(-160))*(26\/(-390))\/(12\/(-648)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*u + 117*u = 2*b - 244, -2*u = -10*b - 144 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3715*p - 11. Let q be b(1). What is the greatest common divisor of 24 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 2, o: 1, l: 2}. Give prob of sequence lroz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1188 and 6?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 15*c**2 - 11*c - 30. Let q be p(14). Let j be 13\/(-2) + (-6)\/q. Is -2 - 1 - (j - -7) - -62 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 5*u**2 + 2*u. Let o(c) = -c**3 + 4*c**2 + 11*c + 3. Let h be o(6). Determine a(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231?\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/57 or -1?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m + 1884 - 10*m - 3777 + 38*m + 1893.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - j + 1. Let f be a(-3). Let s = -3 - f. What is the third derivative of -5*h**6 + 6*h**6 - 2*h**s - 2 + 2 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 14*q + 19 = 19*q, -q + 17 = 2*c. Let b = 0.09 - 4.09. Sort -2\/11, c, b, 3 in decreasing order.\nAnswer: c, 3, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 31*u - 126. Let f be j(-26). Solve -2*z - 1 = -5*d, f*d + 26 = -z + 32 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1380? (a) 1.6 (b) -0.1 (c) -4\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/2 of a century?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 5*m + 5. Let j be w(-5). Let s(t) = -1 + 4*t - 3 - j*t. What is the lowest common multiple of s(-6) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -28\/5 (b) -5 (c) 2\/9 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7916.009g to kilograms.\nAnswer: 7.916009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 2*k**4 - 3*k**4)*(1 + 0 + 1) + k**4 + 3*k**2 - 3*k**2 - 43*k**4 + 56*k**4 - 32*k**4.\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-4701.\nAnswer: 28206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {q: 1, u: 2, m: 1, v: 1, b: 1, h: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r + 262. Let a(l) = 2*l + 65. Let x(s) = 9*a(s) - 2*m(s). Let t be x(-18). Is -20 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 308 - 295. Suppose -5*g - 5*z + 90 = 0, 2*g + 17*z - v*z = 26. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 17*i - 6*i - 19 - 6*i - 5*i + 2*i. Give a(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2696, 2990, 3282, 3572?\nAnswer: 3860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 4, k: 1, l: 2, i: 1}. Give prob of picking 1 i and 1 k.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**2*n**3 + 2*j**2*n**2*q - 9*j**2*n - 24*j*n**3*q + 25*j*q + 6*n**3*q wrt j.\nAnswer: 8*n**3 + 4*n**2*q - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-320)\/(-3200))\/((-6)\/(84\/77))?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = 8. Suppose j*m - 45 = m. Factor -m*b**4 - 181*b**3 + 6*b**5 - b**5 + 176*b**3 + 15*b**2.\nAnswer: 5*b**2*(b - 3)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 - 280. Let v = -79 - p. What is the least common multiple of v and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 3*i**2 + 2*i + 3. Let h(g) = g**2 - g - 1. Let n(t) = -h(t) + o(t). Let j(b) = 2*b**2 + 2*b + 4. Calculate -3*j(c) + 2*n(c).\nAnswer: 2*c**3 - 2*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 8*j + 5 = 3*j, -1 = j. Suppose n = -3*u - 5*u + 832. Suppose -4*h + 2980 = u. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47913 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-366)*-2)\/((-4)\/(-4)). Let m = w + 179\/244. Which is the second biggest value? (a) m (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 83*w - 406. Calculate d(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7. Suppose 2*d = 5*f - 25, 5*f - 5*d - 40 + h = 0. What is the smallest common multiple of f and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 94855, 94856, 94857, 94858?\n\"Answer: a + 94854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 397190.4 millilitres in litres?\nAnswer: 397.1904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15435\/(-315) + (-32509)\/(-665).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6188 or 20?\nAnswer: 6188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 f when three letters picked without replacement from {r: 2, p: 2, f: 3, k: 2, l: 4}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihnykpp. What is prob of picking 1 h and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8392564 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 -5*p - 10 = 3*j, p - 6*p - 2*j = 15. Let m = -2 - p. Let t(c) = -2*c**2 + 3*c + 4. Determine t(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let b be 1 + 48\/(-27) + y. Let g(l) = -l**2 - 3*l - 2. Let a be g(-2). Is b <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*v - 9, -g + 11 = -4*v + 6*v. Let h = g + 15. Let y = h - 13. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000 + 1010100011?\nAnswer: 1011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 94 + -87 + (-1 - 15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222572 divided by -55643.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 1 d when three letters picked without replacement from jdxjjzwvvwdxjjvjv?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3116 - -13155. Round h to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.02 (b) 0.4 (c) -85367 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 63 - 2*i**2 - 36 to b*i + p*i**2 + j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/2 + 23851*w**3 + 190797*w**2\/2 + 119246*w + 47698 = 0. Calculate w.\nAnswer: -47698, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -1\/120*n**5 + 0*n**3 + 0*n + 1 + 0*n**4 + 1\/2*n**2. Let s(v) be the second derivative of o(v). Factor s(t).\nAnswer: -t**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25181 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4452408 and 20736?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-101 + 2*u**2 + 101)*(-1 - 2 + 2)*(4*u - 4*u - 2*u) to l*u**2 + i*u**3 + r + f*u and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, 5\/3, 1\/3 in ascending order.\nAnswer: 1\/3, 5\/3, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12832 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 10 + 16. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:05 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1700443 is divided by 137.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -175.\nAnswer: 3\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160332 is divided by 80136.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 370.99 and -0.1.\nAnswer: -37.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjqjjqjjjqq. Give prob of picking 2 q.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 4*d**2 - 4*d + 3. Is u(-8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-30)\/(b*b\/(b*b*b**(-4\/21))*b))**(-36) assuming b is positive.\nAnswer: b**(7860\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, 2\/11, -0.4, 25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -842893, -842868, -842831, -842776, -842697, -842588?\nAnswer: -842443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.54 and -0.5.\nAnswer: -1.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 60 = -300. Calculate the remainder when 26 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101872*k**4 + 2*k**2 + 3932*k + 2 wrt k.\nAnswer: 2444928*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 7:34 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/49)\/c*(c**(9\/10)\/c)\/c assuming c is positive.\nAnswer: c**(-1049\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/15 + 3\/9. Suppose 0 = -x*s + 3*s - 9. What is the second derivative of 46*p**3 + 13*p**5 - 12*p - 46*p**s wrt p?\nAnswer: 260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/18 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 16*i = 3*t + 2, 3*t + 37 = 5*i. Solve -2*n - 6 = -i*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 11) + -13 - (8 - (-1 - 2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 8. Suppose -p*r + 244 = 4*m, -3*m - m + 226 = -2*r. Let g = -35 + m. What is the remainder when g is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*i = -138, z + 181 = -5*i + 191. What is the highest common divisor of z and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10658265\/679 + 15697. What is the closest to i in -2, -3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.3782ng in milligrams?\nAnswer: 0.0000423782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n - 8. Let i = 103207 + -103204. Put -4, n, i in decreasing order.\nAnswer: n, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*k + 3. Let j be ((-207)\/156 - -2)*4\/10. Let q = j - 4\/39. What is the third smallest value in q, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/(10\/(-1600)). Let q = 2791 - 2731. What is the greatest common divisor of m and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 438339728, 876679455, 1315019182, 1753358909, 2191698636?\n\"Answer: 438339727*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g - 11. Let z(v) = -231*v - 319. Let j(y) = -88*f(y) + 3*z(y). What is the first derivative of j(p) wrt p?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - -1)\/((-6)\/(-3)). Suppose -3*i + 37 = x, -49*x = i - 45*x - 27. Solve 4*d = o - i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.7822764 days to weeks.\nAnswer: 0.5403252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*j + 17710749 = -6358505, -2*f + 16046170 = 2*j. Let z = -160495093\/20 + f. Let y = -1671 - z. What is the common denominator of y and -131\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182676450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 - 1.3. Which is the biggest value? (a) 3 (b) m (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 41 = -5*k - 4, -147*k - 4*q + 29 = -152*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.984818 millennia in centuries?\nAnswer: 79.84818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 10*p**2 + 12*p - 10. Let v be i(11). Let h = -1300 - -1300. Which is the third smallest value? (a) h (b) 2\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 15 + p - 10 + 0*p to q*p + c and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 617, 0, -3, -13 in increasing order.\nAnswer: -13, -3, 0, 617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 109 - 101 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 36 = w. Let o = w - -32. Do -5 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 17. Let y be x(12). Let f = 38 - 34. Put -4, f, -3, y in ascending order.\nAnswer: -4, -3, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -23*p + 7. Let b be s(-2). Suppose -3*l = 4*r - 6*l - b, -4*l + 4 = 0. List the prime factors of (r\/21)\/(4\/294).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.078.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = t. Suppose t*w = 4*z - 30, z = -z + 5*w + 35. Calculate the remainder when (9 - (1 + -2)) + -2 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 654, 655, 656?\n\"Answer: s + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 313679 - 150909. Round y to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 22 - 5 + 23 - 5*x + 3. Let w be i(8). Let h(o) = 64*o - 3. What is the units digit of h(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-12) + 25\/2. Let x(s) = 1598*s - 5. Let r be x(-5). Is r\/(-21) - (-4)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**3 - f**2 + f. Let d be v(1). Let a(q) = 7*q + 6. Let c(t) = -6*t - 5. Let o(r) = d*a(r) + 6*c(r). Let l(m) = 8*m**2. Calculate l(o(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.96969 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 + 9*z**3 - 27*z**2 + 27*z.\nAnswer: -z*(z - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45047 (base 12) to base 13.\nAnswer: -32932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1. Let d(t) = -3*t + 15. What is -d(z) + 2*o(z)?\nAnswer: 3*z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = q, q + 0*g = 3*g - 8. Let u(a) = q + 8*a - 3*a - 7*a + 0*a. Let z(b) be the first derivative of -2*b**3\/3 - 1. What is z(u(n))?\nAnswer: -8*n**2 + 32*n - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 704609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653.2 times -19?\nAnswer: -50410.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/(1\/2)*10. What is the third smallest value in f, 1\/4, 2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - -4.05. Let v = 331 + -331. Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*p**5 + 776*p**4 - 1336*p**3 - 224*p**2 = 0. Calculate p.\nAnswer: -2\/13, 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20 and -59565682.\nAnswer: -59565662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzgixmgggzxxxxmf. What is prob of picking 1 x, 1 m, and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**3 - 143*g**2 + 95*g - 27. Calculate m(47).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + o)*(2*o - 4*o + o + (-o - 3*o - o)*(1 - 1 - 2)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**3 - 34 - 20391*w + 20391*w + 34.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2081 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -0.16.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**4\/4 + 61457*g**3\/2 - 819521*g**2\/4 + 399531*g - 184401 = 0.\nAnswer: -40978, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 2.58\nAnswer: 1.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n**3 + 33*n**2 + n - 6. Give k(4).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43406?\nAnswer: 2, 11, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f = -53*f - 66 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 23. Let s be y(11). What are the prime factors of s*50*((-5)\/(-2) + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.7 and 2.4045665?\nAnswer: 4.2954335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -868851 + 1?\nAnswer: -868850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/24 + 21*i**2. Let a(z) = 2*z. Calculate a(g(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 3:07 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 155653861 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -476, -407, -346, -299, -272, -271, -302, -371?\n\"Answer: -x**3 + 2*x**2 + 70*x - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -9. Let m be (-1)\/(-91) - (6 + (-76)\/13). What is the closest to y in -1, -0.5, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 317653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8*m + 6*m = 150, 0 = 5*y + m - 224. What is the greatest common factor of 7429 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 371.4223 + -0.1223. Let v = k + -6.3. Let u = -364.999747 + v. What is u rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -627.995 - -626. Let g = s - 0.005. Let w = -1 + g. Which is the fourth biggest value? (a) -1 (b) w (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -2, 0.041, -0.212 in decreasing order.\nAnswer: 20, 0.041, -0.212, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 4*(sqrt(114) - sqrt(114)*-2))\/sqrt(6))**2 + -3 + -5 + sqrt(19) + 1 + 4.\nAnswer: sqrt(19) + 2296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145135 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -22*c + 2*c**2 + 22*c + 4*c**2. Let b(q) be the second derivative of q**4\/4 + 4*q. Determine s(b(t)).\nAnswer: 54*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/5021 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {e: 2, w: 2, z: 6, n: 9}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274)*-1)\/(sqrt(2) - (sqrt(2) + (sqrt(16)\/sqrt(4))\/sqrt(2) + sqrt(2))).\nAnswer: 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105096?\nAnswer: 2, 3, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15554 + 15553.991934. Round r to 4 decimal places.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2990 - -3004. Calculate the highest common divisor of 1148 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -24*q**3 + q**2 - 2*q. Is 20 a factor of i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6829 + 14684. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 13. Suppose -3*t + g = 2*t. Solve 8*w**t + 3*w - w - 2*w**2 = 0 for w.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -1598 (c) -5.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(153) + 2*sqrt(153))*-6*3)\/(sqrt(1089) - -4*sqrt(1089)*-1).\nAnswer: -108*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.198 (b) -2096 (c) -5 (d) -7 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**5 + 308228*u**3 - 2118*u**2 - u + 2 wrt u?\nAnswer: 60*u**2 + 1849368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2589 (base 14) to base 3\nAnswer: -100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86*p**5 + 47*p**2 - 47*p**2 + (-8*p**5 - 5*p**5 - 5*p**5)*(-2 + 3 + 0).\nAnswer: -104*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 257584*v\/3 + 8293689632\/3.\nAnswer: 2*(v + 64396)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 789\/4 + -197. Which is the fourth smallest value? (a) -1.9 (b) 2 (c) 5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 210*z + 1. Let c be a(1). Suppose -3*k = -5*k - 10, 4*u = -k + 391. Let n = c - u. What is the highest common factor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 19*m - 261 = -15*m. Let z(y) = 21*y**2 - y. Calculate the remainder when m is divided by z(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 872711525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 3:42 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*p - p = -188 + 191, 4*a = -6*p + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284 + -58. Let i = 380 - v. Let j = i - 66. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73707334?\nAnswer: 2, 1973, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/8 - -4)*-4. Let h = q + -6. Let s = h + 7. Solve 0 = 4*g - g + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k - 48*k - 4 + 4.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*g - 75, g + 15 = w - 0*g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -450128 (base 10) to base 11\nAnswer: -288208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -0.4 (b) 5 (c) 2 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*52207.\nAnswer: -261035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -2.4. Let m = 819103\/68 + -48183\/4. Which is the nearest to 0.1? (a) m (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9*z - 25 = 0. Let j(o) = o**3 + 5*o**2 - 3*o - 5. Let k be j(z). Let y be (-18)\/(-15)*k\/3. Solve -y*u - 8 = 0, -4*h + 0*u + 4*u = 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9419\/64668 + -2\/317. Find the common denominator of o and -77\/18.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5\/6 - 7*w**4 + 98*w**3 - 1733*w**2\/3 + 2737*w\/2 - 882 = 0.\nAnswer: 1, 4, 7, 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**5\/2 + 105*a**4\/2 + 595*a**3\/2 + 395*a**2\/2 - 300*a - 250 = 0?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 122 = -2*y + 130, -2*w + 4 = -4*y. Solve 0 = 3*a - 3*v + 10 - 7, y = 2*v + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -25, -77, -169, -313, -521?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus -976889?\nAnswer: -976877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -114*i**3 - i**2. Let r be h(-1). Suppose -3*m + 284 = r. What is the remainder when (m\/4)\/(6\/16) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i - 20. Suppose 15 = -0*v + 2*v + c, -i*v + c + 27 = 0. Suppose -v*h = -h. Sort -2, h, -4.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 13. Let c be t(-9). Suppose -h + 3*f = f, 4*f = c*h - 6. Suppose -3*i = 2*x - 271, h*x + 451 = 5*i + 5*x. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.2 + -26.475. Let t = f + -1.265. What is t rounded to two dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/13 - 62264*s\/13 - 186774\/13 = 0 for s.\nAnswer: -31129, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from roorrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*i + 5, -v - 86 = -9*v - i. Calculate the remainder when 1065 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 2)*(-17 - 5 - 42*x + 48*x) in the form k*x + f and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 11. Suppose -5*q + m = -3*l, 10*q - 5*q - 2*l = 30. Solve -2*g - 3*u - 8 = 2, 5*g + 25 = q*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2391*q - 1 + 1.\nAnswer: 2391*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 55)*(3\/(117\/26) - (-10)\/30)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldlssdmsmmdsddslsdds. What is prob of picking 1 d and 1 m?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 12:46 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.6 - -2.6. Let b = g + 26. Let x = b - 10.05. Round x to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - (19 - -31)) + 0 + -1 + 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3*n**3 - 66 - 6*n**3.\nAnswer: -3*n**3 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5\/7)*t**(-10)\/t*t*t assuming t is positive.\nAnswer: t**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) 32 (b) -4 (c) 2 (d) 0.067\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g**2 - 7*g - 8. Let y(w) = -22*w**2 - 15*w - 17. What is 13*t(c) - 6*y(c)?\nAnswer: -11*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461384.\nAnswer: 2, 7, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 10*q - 23. What is f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**5\/60 - 7*v**4\/24 - 13*v**3\/6 + 3*v**2. Let u be m(9). Let y = -2 + u. Solve y - 4 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -533.0767723 to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 310032312 (base 4) in base 12?\nAnswer: a3986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -312 - -311.6. What is the third smallest value in 3, -8, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 - -160514?\nAnswer: 160499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdr when three letters picked without replacement from {a: 2, d: 1, y: 1, r: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 3. Let r be q(0). Let m = -7 - r. Is 1 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5*(-4)\/(-60)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*h - 300 = 399*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 44 = y. Suppose 0 = j + 3*j + 4, 5*q + j - y = 0. Solve q + 1 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63364577*j**5 - 93339077*j wrt j.\nAnswer: -1267291540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23b1c4a - 4?\nAnswer: -23b1c51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-2)*(-2 - -4). Let i = 32 - d. Let f = 52 - 26. Calculate the remainder when f is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(-3 + sqrt(19))*-5)**2.\nAnswer: -5400*sqrt(19) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212306 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.631015mg in tonnes?\nAnswer: 0.000000006631015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o - 62. Determine m(-15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35022 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 - 18033071028\nAnswer: -18033071027.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 5*m**2 + 2*m - 8. Let i(k) = -k**2 - k. What is -4*i(j) - l(j)?\nAnswer: 2*j**3 - j**2 + 2*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550 = 701*o - 751*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y + 138 = 3*c + 45*y, 0 = 2*y. Suppose 5*w = -3*p + 20 + 29, 3*p - 43 = -2*w. Calculate the remainder when c is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6333662250.750001042 - 6333662256. Let d = m + 5.25. Round d to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13224900.976 to the nearest one hundred.\nAnswer: -13224900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 168.\nAnswer: 53\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126811?\nAnswer: 211, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4371 + 4379. Let a = -57 - -22. Let t = a + 67. Calculate the highest common factor of v and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 173*z**6\/10 + 7*z**3\/3 + 33*z**2\/2 - z + 1009. Find the second derivative of k(p) wrt p.\nAnswer: 6228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kqqqqqqqqkq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*r - 12 - r**2 - 28 - 38 - 43.\nAnswer: -(r + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10040709?\nAnswer: 3, 7, 478129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(36\/940)*1887\/(-3145).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41810?\nAnswer: 2, 5, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/12 + 3*o**3 + 35*o**2\/2 + 15*o + 2. Let r be g(-18). Solve 3*h - 4*c - r = 0, 2*h - 3*c - 15 - 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2796 divided by 1?\nAnswer: -2796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 6 + 4*m**2 + (1 - 3*m**2 - 1)*(4 - 2 - 1) + 3*m**2 + m**2 - 2*m**2 + m + 0*m**2 - m**2 - 3*m as x + n*m + o*m**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -42. Suppose 0*o + 4 = o + 3*s, -3*o = 2*s - g. Solve -o*r + 12 = -0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006004542513 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, d: 7, y: 1, c: 1}. Give prob of sequence cgd.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/105*3*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - b - 280, -2*k + b = -188. Calculate the remainder when 1377 is divided by k.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -788, 72, -5 in descending order.\nAnswer: 72, 1, -5, -788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 22168380?\nAnswer: 110841900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-6)*(-10)\/(-100)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 14. Let c be m(22). Is c + -1 + (1 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 14429 = -5*u, -5*u = -3*x + 6293 - 20720. Calculate the highest common factor of 312 and u.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(((sqrt(8) + sqrt(8)*-2)\/sqrt(2) + sqrt(4) + sqrt(4))\/sqrt(2) + sqrt(4)\/((sqrt(16)*1)\/sqrt(8)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*y = -22 + 1296 + 1391 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524346.7 centuries in months?\nAnswer: 629216040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1820 - -3639\/2. What is the closest to -2\/25 in g, -11, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 8*v**2 - v + 9. Let g be b(8). Let c be (0\/((-2)\/1))\/g. Let u = -1 + 0.9. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23032251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.6 + -20.9. Let y = c - -0.3. Let g = 25 + y. What is the closest to g in 4, -1, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 97327792 and 2.\nAnswer: 97327792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.379, -0.21, 2\/75 in descending order.\nAnswer: 0.379, 2\/75, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*w + 0*w = 11, 0 = 2*w - 4. Let m = b - 19. What is the greatest common divisor of 10 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b - 34 + 10 + 6 - 36. Let l be k(-6). Solve -5*q - 4*n + 3*n + 19 = l, -5*q + 5*n + 25 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 1\/60*b**5 + 0*b**2 + 2\/9*b**3 + b + 1\/9*b**4 + 2. Let f(n) be the first derivative of v(n). Solve f(a) = 0 for a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/(k**3*k))\/((k**(2\/3)*k)\/((k*k**2)\/k)))\/((k*k*k**(1\/3)\/k*k)**(-31))**(1\/14) assuming k is positive.\nAnswer: sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*c + 1146 = 1846 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = 0. Let x be -3 - (78\/(-10) + 5\/(-25)). Solve u - x = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1364*s + 1400. Determine o(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35490 and 4760.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n = l - 28, -2*l = -n - 111. Let m = -2426 - -2426. Suppose m*u = u - l. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2 + 18*k + 75. What is the tens digit of q(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 31*m - 700. Determine y(22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-6)\/4 + 2). Let c be v + (-164)\/42 - -2. Sort c, -2, 1\/4 in ascending order.\nAnswer: -2, c, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of ((-51)\/(-6))\/(-17) - (0 + (-10919)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asatsaasssosscs. Give prob of picking 2 s, 1 t, and 1 c.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a meter in millimeters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2 + 196*h + 552 = 0 for h.\nAnswer: -46, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/329 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/11 (b) 2\/11 (c) 0.1 (d) -2\/3 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + 11*n + 16. Determine i(-6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 753 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Suppose -5*p + 3*d = -0*d - 19, 4*p = 2*d + 16. Suppose -p*h = 3*x - 6, h = -7*x + 2*x + 10. Give u(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 17 + 4. Let a be 8\/(3 + o\/9). Let x be a\/10*(-35)\/(-14). Which is smaller: x or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 18. Let j be (-3)\/(-4) - x\/4. Sort 5, 3, j.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -82.3. Let w(i) be the first derivative of 5*i**2\/2 - 31*i - 28. Let u be w(6). Which is the closest to u? (a) 2 (b) o (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32022450 by 711610.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -9800054.\nAnswer: -3\/9800054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 4*w + 64 - 50 - 38, -42 = -2*c - 7*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/382411?\nAnswer: -1\/382411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4827, -19952, -45355, -81036, -126995, -183232, -249747?\n\"Answer: -5139*t**2 + 292*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, -10, -0.1, -5, 7 in descending order.\nAnswer: 220, 7, -0.1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*s**2 - 4 + 5*s**2)*(-6 + 4 + 0).\nAnswer: -4*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 56 + 1 = -5*t, -2*t + 4*b + 32 = 0. Calculate the lowest common multiple of 20 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3396\/44 + (-2)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let m(i) = 6 + 2*i**w + 0 - 2 - 3*i**4. Let k(j) = -5*j**4 + 3*j**2 + 7. Let u(b) = 4*k(b) - 7*m(b). Find the third derivative of u(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**3\/3 + y**2 - 2*y + 149. Calculate o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002776192808 rounded to 5 dps?\nAnswer: -0.00278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weewettee. Give prob of picking 1 t, 1 w, and 1 e.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**4 + 454*q**3 + 3227*q**2 = 0.\nAnswer: -7, 0, 461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - 0.05.\nAnswer: -32.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 61*b**2 + 4 + 6 - 2 + 4. Let m(r) = 122*r**2 - r + 22. Let u(g) = -6*m(g) + 11*z(g). Find the second derivative of u(q) wrt q.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -444*f + 443*f - 14, -3*t = -3*f - 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 565.1 and 3.892?\nAnswer: 2199.3692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + -0.032. Let r = t + 0.069. Let s = 0.05699938 - r. What is s rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e05d + -52c?\nAnswer: -e589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32502, 32495, 32474, 32433, 32366, 32267, 32130?\nAnswer: 31949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795602763.\nAnswer: 83, 89, 378449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18169 divided by -1?\nAnswer: 18169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 4, -0.3, -2\/15, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/6, 3\/5, -65 in descending order.\nAnswer: 7\/6, 3\/5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**3 + 14*d**3 + 10*d**3 - 52*d**3 + 10*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(16\/12) - -1. Let i be (-10)\/(-25) - y\/10. Suppose -2*q + i*q + 12 = 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707*q**3 - 2*q**2\/5 = 0 for q.\nAnswer: -2\/3535, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.08 - 12.98. Which is the nearest to 3? (a) z (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t + 9*t + 16*t**2 - 2*t**2 - 2*t**3 + 3*t**3 - 12. Let a be l(-12). Calculate the greatest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/12)\/(-7))\/(79\/(-10902))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 16*y**3 - y**2 - y + 1. Suppose -2 - 1 = -3*a. Let s be d(a). Suppose -4*o + 136 = -2*k, -o - 2*k + 19 = -s. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 606\/7 + -86. What is the closest to -0.1 in -3\/2, 1\/3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6\/45*(-3)\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*h - 1106 + 1087, 0 = -3*g - 3*h + 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1369 divide 44140667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 + ((-11)\/22 - 1\/2). Is 19 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 56*v**2 - 3*v. List the prime factors of z(-2).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2450*a**3\/3 + 7630*a**2\/3 + 848*a\/3 + 8 = 0.\nAnswer: -3, -2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 659 + -204. Let m = s + -5465\/12. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 93. Let d(a) = 5*a + 8. Does 11 divide d(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*f + 315*f - 59*f + 273*f.\nAnswer: 561*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**4\/2 + 61943189*y**3 - 511594480206204*y**2 + 1408435156479871273328*y + 563374144447069306688 = 0.\nAnswer: -2\/5, 8259092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 912420 and 2?\nAnswer: 912420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3638 and 214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 4 + 1)*(1 - 1 - 2*t) + (0 + 0 + 1)*(18*t + 8 - 8) - t + t + t)*(31*t - 29*t + 19*t) to n*t**2 + c*t + f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3697449770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 1. Let c(g) = -79*g - 13. Let f(o) = -79*o - 12. Let n(r) = -3*c(r) + 4*f(r). Let i(b) = n(b) + 6*q(b). What is the hundreds digit of i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 13*v**4\/24 - v**3\/2 - 54*v**2 + 5. Determine x(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*p**2 + 19*p**5 + 9*p**2 - 20*p**2 wrt p.\nAnswer: 1140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142328?\nAnswer: 2, 3, 11, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-15*i + 20*i + 385*i).\nAnswer: 780*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.5509 * 67\nAnswer: 237.9103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*x + 32 + 33 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252202 by -94.\nAnswer: -2683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1390.\nAnswer: -2\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12326 (base 8) to base 10\nAnswer: -5334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 251 - 249. Suppose t + 68 = 4*u, -4*t + a*t = -4*u + 68. Calculate the greatest common factor of u and 595.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - 0.16135. Round p to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcdtahl. What is prob of picking 1 a and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -1?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -2\/67 (c) -5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 11. Let h = w + -3. Let s(l) = -l**3 + 7*l**2 - 4*l - 7. What is the units digit of s(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2. Let t(w) = 39*w + 7. Suppose 294 = -15*g - 34*g. Let p(j) = -4*j - 1. Let x(i) = g*t(i) - 42*p(i). Determine x(a(m)).\nAnswer: -66*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105 - -1306 - (7 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359 = -121*o - 367. Let b(k) = -7*k**2 + k + 4. Let g(f) = 6*f**2 - f - 3. Give o*g(c) - 5*b(c).\nAnswer: -c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 + -7 + 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 75\/(-10)*(-6)\/(-9). What is the nearest to 13 in -3, -2\/7, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/2))\/(n\/(n*n*n*n\/(n\/(n\/(n**(-2\/9)*n)))*n*n)))\/(n\/n**1)**(-1\/3) assuming n is positive.\nAnswer: n**(85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -331, 5 in increasing order.\nAnswer: -331, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 4) + 0 + 1. Suppose -k*q - 1 = -q. Let f = 0.3 + -0.1. Which is the nearest to f? (a) -5 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 + 94 = 52*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(1700))**2 + 2 - sqrt(1700))*2 - (4*(0 + sqrt(1700)) - -6*(sqrt(1700) + 0 + sqrt(1700)))**2)*-3.\nAnswer: -180*sqrt(17) + 1295364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 12*n**2 + 49*n + 203. Suppose 5*y + 3*j - 87 - 105 = 0, -5*y + 200 = 5*j. What is the remainder when w(-8) is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 14 - 2*m - 6 - 7 + 13. Let x be k(6). Suppose -x*t = -5*v - 55, -4*v - 7 = -4*t + 109. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.4 + 5.44. Let s = -1568 + 1566. Which is the fourth smallest value? (a) 4 (b) -0.3 (c) n (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 5 = -5*x - 3*l, -3*l = -5*x. Which is the closest to -0.1? (a) 0.4 (b) -1\/6 (c) 2\/19 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-1)\/(-1))\/(-1*4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 262308797*o**2 - 199569497 wrt o?\nAnswer: 524617594*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -331, -335, -339, -343, -347?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3925 and 298143.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 58 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 11:07 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1910c4 (base 16) to base 4\nAnswer: -12101003010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4256 and 40773?\nAnswer: 173529888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 - (-358)\/(-72). Let g = 38\/9 + v. What is the closest to -1\/3 in -3, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/269?\nAnswer: -3\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(1\/28))**(2\/39)*(x*x**0)**(4\/5)\/(x**(1\/12)\/(x\/(x\/(x**(1\/3)\/x)))) assuming x is positive.\nAnswer: x**(293\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793 - 55*r + 793.\nAnswer: -55*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*c + 9439 + 9410 - 18847.\nAnswer: 519*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2143*c**2 + 2149*c**2 - 4276*c**2 to the form b*c**2 + l*c + t and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8643519 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0)\/(3\/15). Let f(g) = g**3 + 5*g**2 - 5*g + 8. Let r be f(-6). What is the second derivative of -l - r*l**k + l**5 - l**5 wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 252, 618, 1428, 2856, 5076?\nAnswer: 8262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 151930062, 151930063, 151930064, 151930065, 151930066?\n\"Answer: b + 151930061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 264614160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) + -1*sqrt(224))\/(sqrt(8) + sqrt(56)\/(sqrt(7)*-2) + sqrt(8))*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from ccgtmgg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 36\/15)*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-4) - (2 + 0). Is l less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1016.508 - -1019. Let w = z - -235.408. Let b = w - 248. What is b rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 254 - 151. Suppose 3*q = 145 - o. Calculate the remainder when 167 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 20*y**2 - 43*y + 6. Let p be l(2). Factor -1\/4*v**3 + 0*v + p + 5\/4*v**2.\nAnswer: -v**2*(v - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - t**3 + (2 - 2 - 6*t)*(t**2 + t**2 - 5*t**2))*(-3 + 4 + 1) + 8*t**3 + 5*t**3 - 4*t**3.\nAnswer: 43*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*x + m, 3*x + 4*m + 1 - 29 = 0. Let r be -3*2\/12*-2. Solve r = x*g + 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033010 to the power of 1\/2, to the nearest integer?\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38899\/30 + -2587\/2. Find the common denominator of x and -121\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 160, 332, 528, 754?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17*d. Let o(c) = -982*c - 279 + 989*c + 275. Calculate b(o(u)).\nAnswer: 119*u - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12*-2*2 - -6. Are o and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:45 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13*g**2. Let r(j) = -j**2 - j. Let k(w) = 6*w**2 + 5*w. Let p(c) = k(c) + 5*r(c). What is p(n(v))?\nAnswer: 169*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -59.778946*0.1\nAnswer: -5.9778946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1755*i + 2. Let l(m) = m**3 + 7*m**2 - 2*m - 13. Let w be l(-7). Is h(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(-11)\/((z\/(z*z*((z\/(z*z*z\/z**(-4)*z*z))\/z)\/z))\/(z\/(z*(z**(-3\/7)*z)\/z*z))) assuming z is positive.\nAnswer: z**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88\/1 + 10 - -2 and 30.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u = -26*u - 3. Let r be -23 + 32 + (-3 - u). Let d(l) be the second derivative of -l**3\/3 + l**2\/2 + 13*l. Give d(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 3. Let h be t(-8). Suppose -3*z + 5*x = z - 5, -5*x - 5 = h*z. Solve 2*n - 3*u + 1 = z, -3*n - 2*u - 5 = -3*u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e3 (base 15) in base 16?\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (31 - 69) - ((54 - 1) + 42 + -37).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -13. Let f(i) = -1 + r*i - 3*i + 1. Let h(n) = -n. Let p(g) = 5*g. Let q(t) = -22*h(t) - 4*p(t). Determine q(f(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + 0 + (-2 - -4). Let l(s) = -s**2 + 9*s - 5. Calculate the remainder when 17 is divided by l(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 16*o\/5.\nAnswer: -o*(o - 4)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.57114958 to one decimal place.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 234*r**2)*(-2*r - 4*r + 3*r)*(-1 + 1 - 3).\nAnswer: -2106*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -233469381 - 287296\nAnswer: -233756677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13.7 - 0.1\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 4, -51, -0.037, 117?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002753807 to 6 dps.\nAnswer: -0.000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*k**3 + 8*k**3 + 23*k**2 - k**6 - 9*k**2 wrt k?\nAnswer: -120*k**3 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c = -42*c - 38*c - 3068 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l + 2*h + 518, h = -4. What is the remainder when (l\/5)\/(3\/(-2)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2605484*k**2 + 2*k**3 - 2605484*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(-5 + sqrt(192) + sqrt(192)*2 + sqrt(384)\/sqrt(8)*6)**2.\nAnswer: -2400*sqrt(3) + 34684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101101100100 (base 2) to base 5.\nAnswer: 3013342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987483 is divided by 98748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 + 85. Is 13\/14 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 361 by -200.\nAnswer: -361\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 4*n**2 - 9*n + 3. Let d be l(-4). Suppose 61*r = -103*r + 14924. What is the greatest common divisor of r and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0)\/f)**31*f\/(f*f*f**(1\/5)*f)*f\/((f\/(f*f**(1\/2)))\/f)*((f*f\/(f*f**(-6)))\/(f*f**(-1\/5)))\/(f**1)**(-43\/4) assuming f is positive.\nAnswer: f**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08500345584 less than 4?\nAnswer: 4.08500345584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 536327988 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449660*k - 449635*k - 35 = -10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 + 270. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -669, -1504, -2681, -4200, -6061, -8264?\nAnswer: -10809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, -2\/59.\nAnswer: -0.4, -2\/59, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b - 916 + 920 + 203*b**2 - 3*b. What is the units digit of d(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 15*g**2 + 8*g + 12. Let t be k(-14). What are the prime factors of (t\/40)\/((-2)\/(-5))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 28*z - 171. Let g = 130 - 139. Let q be n(g). Factor -2\/11*p**2 + 0*p + 2\/11*p**3 + q.\nAnswer: 2*p**2*(p - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/(15\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v + 2*v**3 + 174*v**2 - 21*v + 43 - 148*v**2. What is the tens digit of d(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 32*r**2 + r + 10. Let a = 303 + -319. Let z be n(a). Let v(b) = -b**2 - 6*b + 1. Give v(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (0 - -2) - (-7 - -6). Let h(n) = 2*n**2 - n - 2. Let u be h(o). Suppose -22 = -3*d + u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 826, 1641, 2456, 3271?\n\"Answer: 815*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -7, 6, 19, 32?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.09326 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -10. Solve -8*d**2 - 2*d**3 + d**2 + 3*d**2 + 8*d**c + 6*d**5 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16*(45\/6 + -2). Let u be q\/22*((-2)\/12)\/(-1). Which is the second smallest value? (a) 3 (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 3*a - 88 - 9 + 73.\nAnswer: -3*a + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**4 + 4320686*g + 6104901 wrt g?\nAnswer: -4*g**3 + 4320686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53658.6033 + -53682.8. What is k rounded to 1 dp?\nAnswer: -24.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 12:21 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(144) - 2*sqrt(144)))\/((sqrt(108)\/sqrt(3) + sqrt(36) + sqrt(36))\/sqrt(9)))\/((2*(sqrt(120) + 2*sqrt(120) + sqrt(120)))\/(sqrt(160)\/sqrt(4))).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 52.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbj when three letters picked without replacement from {b: 6, g: 1, j: 2, a: 4}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433370 is divided by 456?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 740\/(-296)*(-168)\/(-90)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 40*k + 44*k = -1864, 0 = 4*p + 2*k - 1882. What are the prime factors of p?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4 - (-90)\/(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1044, 1051, 1068, 1101, 1156?\nAnswer: 1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(180) + -2 + sqrt(180))**2 - (-2*sqrt(320))**2).\nAnswer: -560 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20629.887 hours to days.\nAnswer: 859.578625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 3140 + 18874. Calculate the remainder when t is divided by 2439.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 13*s**3 - 560*s**2 + 35*s + 320. Give t(43).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 398 times 15\nAnswer: 5970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 101 + 20 + 9 + 21 + 19 + 15.\nAnswer: -a - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = i - 2*j - 2, -3*j - 5 = 2*i. Calculate the remainder when 127 is divided by i - (-7)\/(7\/37).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 2*m**2 + 2. Suppose -2*n = -n + 2. What is the units digit of u(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35.39 + -37. Let y = -0.79 + g. Round y to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/4 (b) -9 (c) 729\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(-1 + sqrt(17)) + 5 - (2*sqrt(102)*-6)\/((-1*sqrt(42))\/sqrt(7)).\nAnswer: -11*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**5\/15 - 145*v**2. Let i(b) = 150*b - 350. Let q(s) = s - 2. Let g(p) = 2*i(p) - 350*q(p). What is o(g(x))?\nAnswer: -10000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -105. Let n = 23 + -3. Let i = u - n. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 11*y = -6*s + 504 - 565, -5*s = -5*y - 4 + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 12*a + 55. Determine v(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 + (-3)\/(-1))\/1. What are the prime factors of 212\/18 + (-2)\/n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12114396 and -38.\nAnswer: -460347048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57406 by -12.\nAnswer: -28703\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 16*o**2 - o. Let d be y(-1). Let t be 181 + (3*(-5)\/5)\/(-3). Suppose -d - t = -q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -375, -561, -747, -933, -1119?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 335209 a multiple of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1330*m - 2991. What is the remainder when d(3) is divided by 255?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6244484976?\nAnswer: 2, 3, 19, 2282341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 33*b. Let z(w) = -262*w - 2682. Calculate -8*v(r) - z(r).\nAnswer: -2*r + 2682","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 26 = -4*j, -159 = -2*j - 167 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 6*x**2 - 2*x - 4. Determine h(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.600994538 rounded to three decimal places?\nAnswer: 0.601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 8, 7*s = x + 11*s - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 8 - 42 = -u, u = m - 28. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 4. Let i be x(-4). Let o(y) = 7*y**2 + 6*y**2 + 963 + 664 - 12*y**2 + y - 266. Is o(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000588 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 4*j**2 + 2*j - 2. Let p be c(4). Suppose -12 = p*z - 426. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136.1 - 138.1. Which is the nearest to -0.1? (a) m (b) -1\/453 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 17*s**2 + s + 17. Let x be m(-17). Solve 2*z - 3*g - 16 = 0, -z - 4*g - 23 + 20 = x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -406 - -410. Solve 4*n = -o - o + 16, u*o + 7 = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z*z*z**(-11))\/z*z)*z*z**(1\/11))**31)**(-1))**39 assuming z is positive.\nAnswer: z**(-147498\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 78*k - 75.\nAnswer: -3*(k + 1)*(k + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/(-42)*-6*-6781?\nAnswer: 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.5088 to 1 dp.\nAnswer: 35.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.119\nAnswer: 0.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -407*q - 13838. Let t be s(-34). Solve 5*w - 5 = t, 2*w = -2*c + 7*w + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-4)\/48) - (606 - 594)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22079080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4173 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*d**2*n**3*u**3 - 16*d**2*n**3*u - 3*d*n**2*u**3 + 7*d*n**2 + 2*d - 5*n**3 wrt d?\nAnswer: -66*n**3*u**3 - 32*n**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 16879965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 14*c**2 + c - 2. Suppose 11*j = 35*j - 336. Calculate g(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/9)\/(r**(-10)*r) assuming r is positive.\nAnswer: r**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -30, 2, -5, -15 in decreasing order.\nAnswer: 2, 0, -3, -5, -15, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -5, 25 in decreasing order.\nAnswer: 25, 5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 17*u + 12. Let y be f(-17). Let c = 6 + y. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 6*f + 4. Let h be s(-6). Solve -5*k + 12 = p, h*k = -3*p + 8*p + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t - 50 + 10 = 55 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.7803 rounded to 2 dps?\nAnswer: 39.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o - d, -o + 5*d - 5 = 11. Let s = 24 - o. Suppose 0 = -5*j + 20, -5*r = -j - 4*j + s. Solve 5*l + 4*y - 5 = r, -20 = -4*l - l - y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 3\/4, 0.5 in increasing order.\nAnswer: 0.5, 3\/4, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9352, 7937, 6522, 5107, 3692?\n\"Answer: -1415*q + 10767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 22. Let j be (-447)\/(-21) + (-2)\/7. Suppose 3*c = b + j. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 581.\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r + 52*r - 30 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**3 + 3*r - 3. Suppose -8*x + 302 = 238. Suppose -x*s = 14*s - 110. Let v(m) = -13*m**3 + 5*m - 5. Determine s*f(w) - 3*v(w).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61925.0391 + -229171.\nAnswer: -291096.0391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77a + -9?\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-3)\/sqrt(5) - (0 + (1*sqrt(44))\/sqrt(4)))*6.\nAnswer: -42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-332)\/(2 - 4))\/(18\/72). Suppose -s = -19*o + 495. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17448.8 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 95\/20 + -5 - (-122)\/8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -10. Suppose f + r = 35. Does 28 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/1270)\/((-11268)\/12520).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 20*q**2 + 165*q + 1481. Determine i(0).\nAnswer: 1481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90919.39 meters in centimeters?\nAnswer: 9091939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-243)\/(-270))\/(9\/(-15))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/1602 - -29639\/3204. What is the common denominator of 1\/(-28)*-302 - (-81)\/(-27) and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833126 is divided by 603.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -666 (base 12) in base 11?\nAnswer: -787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2993*z - 3039*z + 5970*z + 189 = -59 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1572 - -3616. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*i + 23*i + 21*i - 17*i to a + v*i and give v.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/((-60)\/(-18)). Let h(w) = -w**3 - 4*w**2 - w + 7. Let y be h(-3). Which is the nearest to g? (a) y (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 1\/2*u**2 - 2*u - 1\/6*u**3 + 1\/12*u**4 + 0. What is the units digit of m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*p**3 + 4*p**4 + 57*p**3 - 118*p**3 + 8*p**4 - 14*p**4 - 7*p to the form i*p**2 + u*p + r + z*p**3 + a*p**4 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 68\/(-28) - -2)\/(906\/(-1057)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -73*p**2 + 13*p - 28. Let a(y) = 10*y**2 - 2*y - 1. Calculate -6*a(q) - r(q).\nAnswer: 13*q**2 - q + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + ((sqrt(121) - 3*sqrt(121) - sqrt(121)) + sqrt(121))*-5)\/(sqrt(11) - (sqrt(11) + sqrt(121)\/sqrt(176))).\nAnswer: -44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 4*h**2 - h + 4. Let a be y(-3). Let w be (-7 - -7) + a + -3. Suppose -4 = 2*j + 2*j. Put w, j, 4 in descending order.\nAnswer: 4, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647*y + 327*y - 2 = 3*k - 319*y - 26, 0 = 36*k + 5*y - 267 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (67 + 0) - -57.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1174 - 1163. Solve -h*g - 1 = -12*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3715 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 12278?\nAnswer: 36834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*4*(4 + 2*-2*sqrt(242) + 5))**2.\nAnswer: -1824768*sqrt(2) + 9107712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 14742 = -19*h. Let b = 33428 - h. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/9122910 and -173\/60.\nAnswer: 18245820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - -7 - -12 - 47\/(470\/(-20)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -256 and -277 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*k - 14. Suppose 221 = k*r - 39. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 - 2*m + 5. Suppose 12 = -45*l + 49*l. Let o(d) = d**2 + 5. Let n(x) = l*u(x) - 2*o(x). Differentiate n(z) wrt z.\nAnswer: 8*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 131, 135, 139?\n\"Answer: 4*r + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 51. Let h = 266\/5 + s. Which is the third biggest value? (a) -3 (b) h (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-10))\/((-3)\/18). Let c be -3 + 2 + w + 15. Suppose -c*t = -272 - 103. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -c + 114, -2*q + 3*q - 4 = 0. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b + 4 = 0. Let q be ((-2)\/(-4))\/((-5)\/20). Let g = q + b. Solve 0 = p - 3*a + 11, 2*p + g*a + 1 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6725 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*r + 375 = 5*r, 0 = -v + r + 77. Suppose -v = 7*i - 181. What is the remainder when 132 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -3*w - 2*z, 5*z = 5*w - 15. Let o be (13 - 15)*-1*3\/w. Sort o, -2, -8 in descending order.\nAnswer: o, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r*r\/((r\/(r**(-2\/9)*r))\/r))))**14\/(r\/((r\/((r*r*r*r\/(r\/(r*r**(-2))))\/r))\/r))**(-7\/4) assuming r is positive.\nAnswer: r**(511\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2831676*h. Let s(x) = -36*x. What is s(i(n))?\nAnswer: -101940336*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 416*s - 16223. Calculate v(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -292063798*z**3 - 131*z**2 - 82*z - 4495 wrt z?\nAnswer: -1752382788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012021211 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*19*(-5)\/10. Let c = 88 + w. Calculate the greatest common factor of c and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1589 - 3.1559. Let r = h + 3. Round r to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.44 + -0.13. Let r = l + -0.309. Round r to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b0ba - 0?\nAnswer: 2b0ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15416 + 25745. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1 (c) -0.7 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.8215 weeks in days?\nAnswer: 439.7505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 (base 3) in base 7?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 1794 - 75. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -46, -1527, -3996, -7453, -11898, -17331, -23752?\n\"Answer: -494*r**2 + r + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -128d74 (base 14) in base 10?\nAnswer: -639258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 5. Let w be -2 + (9 - (-1 + -3)). Let g(n) = 489 - 6*n - 238 - 242. Calculate w*h(r) - 6*g(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - 2*b**2 - 2*b + 19. Calculate the lowest common multiple of d(3) and 14.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/60 + 22\/5. Suppose 3*y = -l*a - 14, y - 2*a + 1 = 13. Let v be (-4)\/(-24) - y\/12. Solve 2*x = -2*q - 3*q - 7, -5*x - q + 17 = v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*r - 19*r - 36. Calculate the remainder when r is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5 - 699*z**4 + 711*z**3 + 2091*z**2 - 3504*z + 1404 = 0.\nAnswer: -234, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*v**2 - 37*v - 2*v**2 + 2*v**4 - 38*v - 36*v + 113*v + 2*v**3 + 2 as a*v**3 + q*v**4 + m + y*v**2 + t*v and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - 101010011110?\nAnswer: -101010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/21 + (-2)\/(-6). Suppose -x + 3 = f. Put 4, x, -4 in decreasing order.\nAnswer: 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -8\/3*p**3 + 0*p**4 + 0 + 0*p**5 - 1\/2*p**6 + 0*p**2 - 21*p. Find the second derivative of t(q) wrt q.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1128)\/1269)\/(-1 + 3). What is the second smallest value in s, -8, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*a - 51. Let m = a + 57. What is the third derivative of 41 - 4*r**4 - m - 6*r**2 wrt r?\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67374 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**3 - 4*h**2 + 3*h + 2. Suppose -3*g + 3 = -3. Let c be m(g). What is the second derivative of c*i**5 - 3*i - i + i**5 - 6*i**5 wrt i?\nAnswer: 220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7)**45 assuming p is positive.\nAnswer: p**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 7*c - 7. Suppose 2*i = 3*t + i - 33, 0 = -2*i + 6. Suppose -3*b + 3*g - t - 3 = 0, -b + 5*g + 15 = 0. Let d = b - -2. Give j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(6)*1)\/sqrt(2).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 5\/4) + 7\/28. Let d(t) = t**3 - t**2 + t + 1. Let c(p) = -5*p**2 + 8*p - 1. Let i(w) = x*d(w) - 2*c(w). Solve i(l) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r*r)**34\/(r\/r**1)**(-5\/2) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/4*8\/6. Let p be (-6 - c) + (-2)\/(-2). Suppose -p*m + 0*m - 3*b = -300, 4*m - 5*b = 203. What is the remainder when m is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3927867*p**4 - 4*p - 397651 wrt p?\nAnswer: -47134404*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a + 60. Let g(f) = -18*f**2 - 39*f + 234. Let m(u) = -u**2 - 2*u + 12. Let c(n) = -2*g(n) + 39*m(n). Give c(q(v)).\nAnswer: -147*v**2 - 2520*v - 10800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421260969?\nAnswer: 349, 1627, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrzhzbvvhvh. Give prob of sequence hh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(13 + -12) - 26?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + (580 - 670) - (0 - (-1 - 0 - 0)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -86, -93, -104, -119, -138, -161?\n\"Answer: -2*n**2 - n - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + a + 6. Let k(u) = -u. Let w(d) = -h(d) - 4*k(d). Let m be w(-5). Is 2*(1 + -2) + m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/532)\/((-226)\/(-1582)).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.49417226 + -0.4941. Round k to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 135 = 4*a. What is the remainder when a is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3\/5 - 57*u**2 + 2087*u\/5 - 504\/5 = 0. What is u?\nAnswer: 1\/4, 8, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 34027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101212101111110 + 11?\nAnswer: 1101212101111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85215\/(-1560) + 41 + 14?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 5 (c) 22\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6002)\/(-297))\/(16\/(-3)). Let v be 3\/7 - 3515\/(-3465)*-1. Let m = v + r. Calculate the common denominator of m and 27\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162722 is divided by 110?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*v - 3 = 0, -12 = -3*z - 4*v + 5*v. What is the highest common factor of 24 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/33 - (-685)\/15. Calculate the greatest common factor of r and 1127.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u**2 + 2*u)*((-3 + 3 - u)*(-4 - 1 + 0) + (-2*u - u + 2*u)*(-3 - 2 + 7)).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, -1\/9, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 83 (b) -2\/3 (c) -21 (d) -0.058\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 3*l - 3*l + (-3*l + 2*l + 3*l)*(-1 - 1 + 1) + 2*l + 2*l - 3*l - 711*l + 713*l + 793 - 230.\nAnswer: -l + 563","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-777)\/(-333))\/(2\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 9*d**2 - 6*d + 48. Suppose 3*v - 24 = -22*t + 21*t, 5*t + 2*v - 55 = 0. Determine k(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - d + 57 = -2*d, 4*o + 2*d + 76 = 0. Let n(a) = -a - 17. Let k be n(o). Suppose 2*s - x - x - 4 = 0, 12 = 4*s - k*x. Solve 2*g = s*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 40 = -0*a - 4*i, 4*a = 5*i - 9. Let v = -3 + 6. Suppose -v*u - 63 = -a*t, -4*t = -5*t - 4*u + 11. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -21*s + 540. Give x(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2. Let p(n) = -n**3 - 24*n**2 - 23*n + 10. Let k be p(-23). Let o(t) = -6*t**2 + k*t**2 + 11*t**2. Calculate o(v(g)).\nAnswer: 135*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b158 (base 12) to base 13.\nAnswer: -c39b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/3 - -16\/15. What is the nearest to i in -1\/5, -8, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.477052833 to 3 dps.\nAnswer: -0.477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3127582 litres to millilitres.\nAnswer: 312.7582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/3, 29046, 2\/9, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -18 - ((-4 - 1) + (-21 - -22) - 5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6370 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -360, 2377, 6938, 13323, 21532, 31565, 43422?\nAnswer: 57103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 55 + 4\/2 + 0. Let z = 16 - 22. Let y be n\/(-18) - 1\/z. Which is the closest to 0? (a) -0.5 (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 = c + 4*u, 2*c = u + 2. What is the third derivative of -44*z**6 - 47*z**c + 130*z**6 - 4*z**6 - z**5 wrt z?\nAnswer: 9840*z**3 - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(105\/(-24)))\/((-8)\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/4)\/((-1)\/6). Suppose a + 0 + 5 = 5*p, 4*p - 23 = -3*a. Suppose j + p*j = -w. What is the third biggest value in 7, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -3. Suppose 0*n = r + v*n - 2, -3*r = n - 6. Suppose -5 - 1 = -r*o. Solve -23 = -3*d - 5*p, -3*d + o*p - 11 = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from {m: 1, e: 4, d: 2, s: 4, a: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/4 + o**4\/4 - 2*o**3\/3 + 74*o**2. Let i = -10 + 7. Does 23 divide w(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -3, -5 in decreasing order.\nAnswer: -3, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.4026 + -4.4026. Let m = -10.1 - -10. Which is the second smallest value? (a) -3 (b) m (c) 5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/2397 and 95\/282?\nAnswer: 4794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*h + 22 + 16 - 4*h - 54 + 17 in the form m*h + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6\/49 - -20\/49. Which is the nearest to q? (a) -3 (b) 7\/6 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4937*z - 4323*z - 7949*z - 7771*z as j + q*z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45270 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 0.5, 46568, 0.3, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005338863 rounded to seven dps?\nAnswer: -0.0000534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 37*a + 95*a - 126*a. Let t(f) = 4*f - 7*f**2 - 4*f. Determine m(t(r)).\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*g - 33876 = -76*g + 240*g - 97*g for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w - 18. Determine q(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12434 + 12428.75034. Let v = 4.7509 - r. Let k = v + -10. Round k to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 246\/(-22) + 6 - 4\/(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4629 + -4642 + 6*-5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/136 and -13\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 52 = 31*r + 13*r. Which is the nearest to r? (a) -2\/19 (b) -31\/5 (c) 4\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Solve -25 = -l*m - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Find the first derivative of 28 + d*c**4 + 28 - 53 wrt c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 51*q + 176. What is t(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67187064 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 16*b - 10. Calculate p(13).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 25 = 5*g + 10, 3*a - 5 = 7*g for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44304882 to the power of 1\/2, to the nearest integer?\nAnswer: 6656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - (-1 + 3 + -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 73\/(-365)*(1 + 137\/(-2)). Let j(m) be the second derivative of -3*m + 3*m**3 + 0 + 1\/4*m**4 + p*m**2. Solve j(w) = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 8:50 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(4\/9)*s*s*s)\/(s\/s**4))\/(s*s**(-1\/8)*s\/(s\/(s\/(s**(-1\/10)\/s)))*s))\/((s**(3\/5)\/s*s*s\/s**(-1\/9)*s)\/(s**0)**14) assuming s is positive.\nAnswer: s**(-29\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -329.00034 + 329. What is m rounded to 5 decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120591076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, 0.3643 in decreasing order.\nAnswer: 5, 0.3643, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 100*l + 93. What is v(-2)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 15 + -5 + -3 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**5\/60 + 14*f**2. Let v(r) = -4*r**2 - 6. Calculate v(m(p)).\nAnswer: -4*p**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 1:35 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/28)\/((-2)\/98)*(-2)\/6. Solve 195 - 167 = -t*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 9) in base 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104650 divided by -148?\nAnswer: -52325\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 11002311330?\nAnswer: -11002311313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5178764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(12\/(-8))\/3*-15. Let s(j) = -j**3 + 14*j**2 + 16*j - 10. Let h be s(x). Let v(p) = 2*p + 2. Calculate the remainder when 46 is divided by v(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483292132 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7653655079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44984*f**3 + 64*f**2 + 1048?\nAnswer: 269904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*-7.1\nAnswer: -14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.75 and -4509876403385.\nAnswer: -4509876403384.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -675 - -672. Which is the closest to -10? (a) -2 (b) 2\/7 (c) z (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 73\/2. Let a = i + -13\/18. Let m = 0.5 + -0.3. Which is greater: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102210110200112 (base 3) to base 14.\nAnswer: -b925bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56 - 79?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2551*z = 4*i - 2556*z + 11, 0 = 2*i - 3*z + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4 + 7. Let w(h) = 22 - 2*h + 11 + 24 - 76. Let y be w(q). Solve 3*u + 0 = y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -554 - -562. Which is the second biggest value? (a) l (b) 17 (c) -0.4 (d) -1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*z + 1766 - 27 = 0. Is z bigger than -215\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 3*g + 20*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + 117*x - 117. Let g be k(1). Solve -4*f + 7 = 3*s, -8 = -g*f + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-628)\/(-4)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -3.\nAnswer: -5, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22526 divided by 1\nAnswer: 22526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 + (4 - 0) - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from llmwlmomlolmov.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3770540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 613541112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + (7 - (2 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 235, 35, -305, -791, -1429?\n\"Answer: -c**3 - 64*c**2 - c + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {l: 1, x: 2, y: 4, p: 5, a: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 10 in ascending order.\nAnswer: -3, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*l + 7*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 11232\nAnswer: 1\/11232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3 - 7. Suppose 0*s - 5*m - 20 = -s, -2*s = m + x. Let o = 0 + s. Solve 2*i = 6 - o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/139776 and -69\/6370.\nAnswer: 4892160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 997\/1848 + 1\/168. Let y = -4.97 + -0.03. Which is the nearest to u? (a) y (b) 2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1529 + -1505. Solve -3*s = -4*l + a, -7 = -4*l - 2*s - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33614?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1217.8536.\nAnswer: 121.78536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*z + 31*z = -914550. Is z a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 21. List the prime factors of f(0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence piee when four letters picked without replacement from essipe?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4586 = n, 116 = 4*j + 100. What is the remainder when n is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, b: 2, h: 8}. Give prob of picking 1 b and 3 k.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18069474 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -42. Let s(l) = 7*l**2 + 1054*l + 7219. Let r be s(-7). Calculate the highest common divisor of r and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 234 - 105. Is 43 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 1, z: 2, o: 1, r: 1, e: 1}. What is prob of sequence zezr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 10 - 2. Solve 0 = -0*c - c - 1, -c = -k - f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 (base 10) in base 9?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from aaamaaaammaa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 364613 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by (30\/(-5))\/(-2) - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4044*t + 111. Let z be h(2). What is the greatest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 37240.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13370 is divided by 181.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(66)\/sqrt(6) + -4 + sqrt(704) + -1*sqrt(704) - -6*(sqrt(1584) + sqrt(1584)*2 + 2))*-4)**2.\nAnswer: 55552*sqrt(11) + 8288691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 5:49 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 67, 1\/6, -1.\nAnswer: -3, -1, 1\/6, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3) - 4\/12 - -5. Solve -28 = 5*u + 4*c, q*u + c + 5 = -13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1427473*w*z**6 - 61*w*z**4 - w*z**2 + 2*w*z + w + 7633*z**2 + 293 wrt z.\nAnswer: -171296760*w*z**3 - 1464*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) 5 (c) 5543.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -40.3. What is the closest to 2 in -0.4, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -181 and -0.5?\nAnswer: 180.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.0315564?\nAnswer: -0.00315564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n**2 - 3*n**2 - 1 + n - n**3 + 0. Let j be b(5). Suppose -p + j = 2. Solve 7*r + 20 = p*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.39 or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -4720, 208?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1670724 (base 8) to base 6\nAnswer: -14242432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/3)\/(8\/(-180)). Let n = -289 + 114. Let t = n + 174.9. Sort -1\/2, t, l in decreasing order.\nAnswer: l, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*g - 5*g. Let j = 12 + g. Let y(d) = d**3 + 4*d**2 - d - 2. Calculate the smallest common multiple of j and y(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.9867 - 24. What is i rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108742117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 42990*r + 601848. Give y(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4400 (base 5) to base 9.\nAnswer: -736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 17 + 7*j)*(-2*j - 2*j + 5*j) - 2*j - 9*j - j**2 + 7*j.\nAnswer: 6*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19305 and 43641.\nAnswer: 7200765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-2 + 1 - 1)*(-982 + 21*j + 982 + (-3 + 0 + 5)*(-2*j + 0 + 0) + 2 + 2*j - 2 + 4 - 2*j - 4)*(1 - 2 - 1)*(4 - 5 + 2).\nAnswer: 136*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7179*t + 306 = 3599*t + 3614*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*n = 3976, -5*n + 1711 = -2*x - 277. Let l be 2\/4*x\/(-21). Let y = l + -25. Which is the third smallest value? (a) 1 (b) -1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2*sqrt(1008)*-6 - sqrt(1008))\/((sqrt(576) + sqrt(576) + 1*sqrt(576) + sqrt(576))*6))**2.\nAnswer: -8369\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/((-16)\/(-12)))\/(-3). Suppose -6*w + 11 = -1. Suppose g + w*g = -m - 37, 4*m = -16. Which is the second smallest value? (a) g (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2136 is divided by 102?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -3*t**4\/4 - 5*t**3\/3 - 2*t**2 - 7*t + 16. What is the units digit of s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 23*v - 60. Let q be m(-32). Let w = q - 221. Calculate the highest common divisor of 189 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 equal to 2.44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*f - 164, 194 = 3*f + 2*f + h. Let t(w) = w**2 + w + 1. Let s be t(-1). What is the units digit of f\/(2 - s - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 112497113 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4 + 6*q**3 - 6*q**2 - 6*q - q**2 + q**2 - 5*q**3. Give o(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 9:13 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4769 is divided by 317.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/30*2*2040\/(-2754).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -17*t. Solve -2*k = -3*u - 13, 2*k + t - 7 = -3*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3154*i**2 + 3149*i**2 + 121068146 - 121068146.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977632 - 3620?\nAnswer: 1974012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582 minus 21770789?\nAnswer: -21769207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14516, -13609, -12688, -11747, -10780, -9781, -8744, -7663?\nAnswer: -6532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 1, s: 4, i: 2}. Give prob of sequence izs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396) + -1 + sqrt(396) + sqrt(396) + 1 - (3 + ((-1 + sqrt(396) - sqrt(396)) + sqrt(396))*-3))**2.\nAnswer: -504*sqrt(11) + 14305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v - 5*v - 4*v**2 + v + 47 - 7*v + v as m*v**2 + r*v + g and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036906997 to the power of 1\/2, to the nearest integer?\nAnswer: 32201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (-1 + sqrt(304) + 2 + sqrt(304))) + 3 + (sqrt(19) + -4)*6.\nAnswer: -22 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.09, -1\/3, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.450749 kilometers?\nAnswer: 3450749000","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let u = 0.07 - 0.19. Let i = -17.02 - -17. Let m = u - i. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, c: 3, p: 4, i: 2}. What is prob of picking 1 i, 1 c, and 2 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1200 or 72023\/60?\nAnswer: 72023\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h + 2*h + h)*(0*h + 2*h + 0*h)*(1 - 5 + 6 + (1 - 5 + 2)*(1 - 1 - 2) - 5 + 2 + 1 + 2 - 1 + 1 - 3 - 6 + 4 - 3 + 16 + 5).\nAnswer: -266*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 19) + (1 - 0) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642313?\nAnswer: 1642313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**4\/4 + 9445*u. Let z(l) = 13*l**2 - 3*l. Let q(d) = 300*d**2 - 70*d. Let n(s) = -3*q(s) + 70*z(s). What is n(a(o))?\nAnswer: 90*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714264?\nAnswer: 2, 214283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 4 = 3*p. Let l(k) = -k**2 + 5*k - 6. Let v be l(4). Find the common denominator of (v - p)\/(2\/(-14)) and 55\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 + 69?\nAnswer: 8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 3*o**5\/5 + 633*o**4\/4 - 213*o**3 - 633*o**2\/2 + 636*o + 794. Factor u(h).\nAnswer: 3*(h - 1)**2*(h + 1)*(h + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53470 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4386, 8760, 13134, 17508, 21882?\nAnswer: 26256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1404631*q**2 - 852*q - 269 wrt q?\nAnswer: 2809262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**8\/2800 - 3*t**7\/1400 + t**6\/200 - t**5\/200 - 5*t**3\/3 - 4. Let w(x) be the third derivative of r(x). Factor w(m).\nAnswer: 3*m*(m - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 100, 104, 108, 112, 116?\n\"Answer: 4*g + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-11)\/(-66) - (-70173)\/1. Suppose -m - 88227 = -9*i. What is i rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11322 (base 4) to base 2\nAnswer: -101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1728357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 235 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqjccojvo. What is prob of sequence jqo?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.8366 to zero dps.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 31. What is the smallest value in 2\/13, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2524234 is divided by 259?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10465*u**2 + 0*u**3 - 20916*u**2 + 10451*u**2 - 7*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*i + 293. Let z = i + 238. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/5 - 92*u**2\/5 + 2*u\/5 + 92\/5 = 0. What is u?\nAnswer: -46, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1726102 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*78*23\/69. Suppose 4*x + h = 17*x. What is the nearest to -4 in x, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(11 - ((-280)\/(-15) - 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -415*a**2 - 6. Let d(x) = -69*x**2 - 1. What is 13*d(z) - 2*p(z)?\nAnswer: -67*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-110)\/(-33))\/((-6)\/(-9)). Suppose -3325 = -b*h - z - 2*z, 0 = 2*h - 5*z - 1299. Is (24\/12 + 1\/2)*h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -n - 4*u, 436 = 2*n - 3*u + 2*u. Suppose -n = -4*c + 8*c. Let o = c - -105. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1166 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**5\/20 + 2*c**4\/3 - 7*c**3\/6 + c**2 + c. Let o = 103 - 97. List the prime factors of i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*q - 34, h = q + 3 + 6. What is the remainder when 138 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5)*a*a**(-5))**(-11))**(-27))**(-2\/17) assuming a is positive.\nAnswer: a**(5346\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (20 + -6)) + (4 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83411 or 83420?\nAnswer: 83420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346, -258, -170, -82, 6, 94?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -6.92. Let a = 119.08 + x. Let w = a + -121.00117. Round w to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (116\/(-18) - -1).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -320316954, -320316953, -320316952, -320316951, -320316950?\n\"Answer: o - 320316955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -123 and -121 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106382067 or 106382065?\nAnswer: 106382065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) -0.1 (c) -38\/793 (d) -4 (e) 1\/4 (f) -0.3 (g) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 69 - 74 - 36*r**2 + 32*r**2. What is a(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.6496216 to three decimal places.\nAnswer: -33.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28 - 0*(0 + 4)\/4. What is v rounded to 0 decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 3*o**2 + 4*o + 4. Suppose -45*f + 44*f + 4 = 0. Give g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - w**2 - w + 196. Calculate l(0).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 229681 or 229680?\nAnswer: 229681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) + -4 - sqrt(800))*6)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3 and 1\/59.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6549.584 millennia in decades?\nAnswer: 654958.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3240453017 to the nearest integer?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1188236*b**3*h + 2*b**3 - 109*b**2*h - 2*b**2 - 3*b*h + 2*h - 313 wrt b?\nAnswer: 7129416*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - j - 1001, 3*g = g + 2*j - 398. Let q = 202 + g. Solve 4*k = q*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z + 71*z + 126 = 21*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(17\/85)\/((-5)\/(150\/(-4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - v**2 + v - 1. Let u(z) = -2*z**3 + 4*z**2 + z + 7. Let o(q) = 3*p(q) + u(q). Let f be o(-1). Let m = 33 - 22. Which is smaller: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziaabepez. What is prob of sequence bi?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 41 = 39. Suppose 0 = 3*j - w + 4. Suppose -j*v - 8 = -5*v. Solve 4*n - v = 0, 3*q = -4*n + 3 + 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.22 and 0.8?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1 - 2 + 182*a - 353*a + 13*a**3 + 170*a. Let m be (-2)\/(-6) - 4\/3. Calculate b(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**7\/1260 + 11*s**4\/4 + 41*s**2. Let d(a) be the second derivative of n(a). Let b(w) = 2*w + 144. What is d(b(f))?\nAnswer: 8*f**2 + 1152*f + 41472","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 3547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.4078 from -0.1.\nAnswer: -1.5078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/((-8775)\/50)*3*-69?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 25822097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (4 + 7 + -2)) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2081, 9598, 22177, 39860, 62689, 90706, 123953?\nAnswer: 162472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:37 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(2\/71))**(-5\/6) assuming x is positive.\nAnswer: x**(5\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25364661 is divided by 8454852?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, c: 5}. Give prob of picking 2 a.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -940.7 - -3667989.\nAnswer: 3667048.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/4 + 5251*v**3 + 21009*v**2\/4 - 21004*v - 21005 = 0. Calculate v.\nAnswer: -2, -1, 2, 21005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 3. Let l = 37 + -32. Determine d(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*((a**(1\/2)*a)\/a)\/a*a)\/(a**3\/a)*a\/a**3*a**1*a*((a**0\/a)\/a)**(-26)\/(a**(-4)*a*a**5) assuming a is positive.\nAnswer: a**(101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**3 - 2*a**2 + 18*a - 3. Let z(s) = -14*s**3 - 38*s - 66. Let q(t) = 13*t**3 + 35*t + 61. Let b(j) = 13*q(j) + 12*z(j). Give 5*b(l) + y(l).\nAnswer: -2*l**3 - 2*l**2 + 13*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 9*r**2 - 12*r - 8. Suppose -3*q + 2*o + 76 = 0, -5*q + 80 + 36 = 2*o. Suppose q = -j - 2*j. What is the tens digit of w(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32.5 and -0.7.\nAnswer: -22.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -177725 - 15327?\nAnswer: -215254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 121*z**5\/60 - z**4\/24 - z**3\/6 + 2*z**2. Is d(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4416 (b) 2 (c) -2 (d) 1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31430 - -1?\nAnswer: 31431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t = -4*n + 601, -779 = -5*n - 3*t. Suppose 5*f - 27 = 43. What is the greatest common divisor of f and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 0 + 132. Let d be 0\/(3\/(-15) - r\/20). Solve d = -5*w + 14 - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -32*b**3 - 26*b**2 - 78*b - 55. Let o(a) = 51*a**3 + 39*a**2 + 118*a + 82. Let n(v) = -8*d(v) - 5*o(v). Give n(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 2 + 2)\/(7\/(-252)). List the prime factors of (114\/4)\/(n\/1440).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -6*b + 2*b + 5*l, -b + 2*l = -48. Let g be (0 - -19) + (b - 46). Let v(d) = -8*d**2 - 2. Let i(f) = -23*f**2 - 6. Give g*v(r) - 6*i(r).\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6)*(24\/(-1) + 3). Solve 3*q + y = -q + w, 3*w = 5*q + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214314331 (base 5) to base 4\nAnswer: -3203221302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/368084 at most 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12129 and 704964.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 176, 258, 340?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.20426 and 0.3924.\nAnswer: -0.080151624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - 3*w + 2*w**3 + (0 - 3*w + 0)*(-12*w + 12*w + 4*w**2) + 38567*w**2 + 2063*w**3 - 38567*w**2.\nAnswer: 2053*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18161806*w**4 + 3*w - 3558742?\nAnswer: 217941672*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -483 - -541 - (-9 + 48)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/11 - 28*i**4\/11 + 122*i**3\/11 - 168*i**2\/11 + 72*i\/11 = 0. What is i?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -1\/3, 5, 35\/6, -1\/5, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -25, 0, 2, 1, -3, 12 in ascending order.\nAnswer: -25, -3, 0, 1, 2, 12, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4\/3. Suppose 2*v + 18 = -2*s, -v + 5*s + 21 = -0*v. Which is the nearest to -2? (a) w (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -10 - -7 - 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 0.2, 11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-9) + -2)*6\/(-20). What is the smallest value in 0.3, w, 0, -2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.3531mm in nanometers?\nAnswer: 258353100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 123018191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7648119.\nAnswer: 3, 61, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.03, -180, 0.3, -0.02?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**14*w**14)\/((w\/(w**4*w))\/w)**44 assuming w is positive.\nAnswer: w**248","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*m + 11 = -193*m. Let t(w) = 25*w**3 - w**2 + w + 1. Determine t(m).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174029473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5 - 16298*b**4 - 32590*b**3 - 16294*b**2 = 0. What is b?\nAnswer: -8147, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23700601 - 15284695. Let m = t + -11885906. What is m rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3469 - -1407?\nAnswer: -2062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 28.53393ml?\nAnswer: 0.02853393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbbmmmmmbb. What is prob of sequence mbmb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 2. Let f = 1 + 23. Suppose -26*u + f*u + 4 = 0. Suppose 3*k - p = -4*p - 3, 5*k = -u*p - 20. Give r(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10212107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from eyeerreyeryyeer?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 6, b: 1, f: 4, x: 4, s: 2}. Give prob of sequence sx.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + 3)*10\/30?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, j: 1}. Give prob of picking 1 j and 3 r.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 730 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l + 3*l)*(46*l**4 - 259*l**4 - 531*l**4).\nAnswer: -1488*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/178 + 13591\/1602. What is the common denominator of -61\/34 and h?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -9966?\nAnswer: 9963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 0, 3 = q - z + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.3, -12, -9, -8\/9?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*t**2 - c**2*t - 3*c*t**2 - 2*c*t*u - 55*t**2*u + 28*t*u wrt t?\nAnswer: 4*c**2 - 6*c - 110*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieimemmievimvmmmmm. What is prob of sequence emmm?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.642878636 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - 0.27. Let t = 3.065 + -0.065. What is the closest to -5\/7 in t, q, 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11512*z = -393102 - 240058 for z.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/5 (b) 1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - j - 1. Let t(i) = -2*i**2 - 2*i - 3. What is -t(a) - z(a)?\nAnswer: a**2 + 3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848*j + 13970 + 5433 = 5835 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Suppose 2*v + 3*a - 2 + l = 0, 4*v + 2*a + 4 = 0. Let b = -0.01 - -0.01. What is the nearest to b in v, 1\/6, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 16) to base 12.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b**2\/7 - 18*b\/7 + 24\/7 = 0. Calculate b.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 19. Suppose v*d = 2*d - 10. Suppose u + 5 + 87 = 5*o, -d*o + 84 = 3*u. What is the greatest common factor of o and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 9*y + 5 = -2*n, 4*y = -4*n. Is (0 - (-1210 + (-20)\/5)) + y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 355 - 310. Which is the second biggest value? (a) 3\/5 (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**9*q*q))\/q**4)**(2\/81) assuming q is positive.\nAnswer: q**(-28\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1967*j - 1126*j + 1200*j - 335*j + 1837*j)*(13 - 26 + 26).\nAnswer: 46059*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*m + 1. Suppose m*y - 4 = -0*y. Suppose 0 = -5*r + 5*s - 4*s + 276, -4*r + y*s = -222. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + 1441?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1979 + 3559. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -39 - 8 - 3) + -56 + 69?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244510026 to the nearest integer?\nAnswer: 15637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -501 and -448 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-40)\/(-12). Let s(r) = -r**3 + 4*r**2 + 6*r - 5. Let v be s(k). Solve v = -0*z - z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 1.07. Which is the biggest value? (a) p (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900694?\nAnswer: 2, 17, 59, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/36 + 2306510\/18. Let s = 129417 - j. Let l = -1265 + s. What is the common denominator of 20\/11 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1884, 3287, 4690, 6093?\nAnswer: 7496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664001233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 7)*(-19)\/((-437)\/(-23)). Solve 0 = -c*u + 232 - 202 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -5*s + 3*x, -4*x + 47 + 20 = s. Calculate the highest common factor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.985 at most as big as 7520\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 697961141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11269, -11268, -11267, -11266, -11265, -11264?\nAnswer: -11263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1819, -3654, -5499, -7360, -9243, -11154, -13099?\n\"Answer: -z**3 + z**2 - 1831*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 + -178. Solve 4*m + 14 = -m - 4*q, -t*q + 3 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7741489 and 19061.\nAnswer: 54190423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1247, 1217, -16, 2, -1 in descending order.\nAnswer: 1247, 1217, 2, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -987*i - 11560. Determine u(-12).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.494 - -0.066. What is the closest to 1 in 3, -2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*k - 422*k + 1256*k - 416*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12577 + 12577.12. Is -48 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -193*d**2*t*u**2 + 28*d**2*u**2 - 96*d**2*u - 6817*d*t*u**3 - 28*d*u**3 + 10*d wrt t.\nAnswer: -193*d**2*u**2 - 6817*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -52. Let v = 2481.224 + -2461. Let y = v + a. Round y to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:57 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 4:08 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2417071.\nAnswer: 139, 17389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 98*z**2 - 222*z + 51. Give t(3).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 k when three letters picked without replacement from kfffeeffkfekkf.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5284432470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43972664*c**3*f**2 - 16*c**3*f - 2*c**3 + 4*c*f + 9503*c + f + 1 wrt f?\nAnswer: 87945328*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.8 + -0.2. Let o = 0.006953 - 49.092953. Let x = h - o. Round x to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u = -29*u + 2*x - 34, 11 = 2*u + x + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five quarters of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 96666, -1\/5, -85, 1\/2, -5 in descending order.\nAnswer: 96666, 1\/2, -1\/5, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -204 * -0.2946\nAnswer: 60.0984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/4)\/k*k*k**(-4)*k**(-2\/13)\/(k\/(k*(k\/(k**3\/k))\/k)*k*k) assuming k is positive.\nAnswer: k**(-489\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**5\/20 - 2*x**2. Let z(s) be the third derivative of -2*s**2 + 0*s + 1\/30*s**5 + 0 + 0*s**4 + 0*s**3. Give o(z(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - 2503862984.4164.\nAnswer: -2503862997.4164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - 14 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5109, -5094, -5007, -4848, -4617, -4314?\nAnswer: -3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448377411 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63227734733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooojjjooojojobjjjojj. Give prob of picking 3 o.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-36))\/(-5)*18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.032 + 0.068. Which is smaller: -1\/4 or s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 1\/60*j**5 + 0*j**4 + 17*j**2 + 0 + 0*j + 13\/60*j**6 + 0*j**3. Find the third derivative of t(a) wrt a.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 - -1.1. Let j = -1 - 3. Let i = 1 + j. What is the third biggest value in l, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1227 - 1221. Solve -10*o = -s + 16 for o.\nAnswer: -1","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 tttttxtttttt.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 91.221193 to zero decimal places.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + d**2 + 3*d + 3. Calculate u(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogozggvgd. Give prob of picking 1 o and 3 g.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2834\/91 + -31 + 531\/(-4158).\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125\/4 - 156\/5. Let u(o) be the third derivative of 0*o**3 + 0*o**4 + 0 - 1\/70*o**7 + 0*o**5 + 0*o - z*o**6 + 5*o**2. Factor u(w).\nAnswer: -3*w**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(72) + 3*(0 + sqrt(72)) + (-1 + sqrt(72)*2 + sqrt(72) - (5 + (sqrt(72) - (sqrt(72) - (0 + sqrt(72) + sqrt(72)))) + sqrt(72))))**2.\nAnswer: -384*sqrt(2) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16460 + 16462. Solve 35*n - 107 = -t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2045861111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4\/5 + 649*x**3\/5 + 102984*x**2\/5 - 758336*x\/5 - 860672\/5 = 0.\nAnswer: -328, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*g = -5, -4*s = -5*g - 5 - 9. Suppose 0 = 2*i - 3*m - s, -m + 4 = 3*i - 3*m. Let a be i - (1 - 2 - 0). Solve a*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, y: 5}. Give prob of picking 1 b and 3 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-24))\/(-5))\/((-378)\/1008)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**8\/784 - b**7\/98 - b**6\/35 - b**5\/35 + 8*b**2. Factor f(d).\nAnswer: -3*d**2*(d + 1)*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 2*s**2 - 2*s + 2. Calculate z(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -15755.6637 to the nearest one hundred.\nAnswer: -15800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 8*j + 12. Solve w = 0, -j*w = i + w + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/((-236)\/413).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 27*k - 10. Let z be s(14). Solve -4*u + z*p = -8, u + 3*p = 2*u + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93.7314*-2.1.\nAnswer: 196.83594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*p + 11 = -488*p - 5*l + 6*l, 0 = -26*p - 2*l + 88 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 375, 380, 389, 402, 419?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(8\/5))\/(-1). Find the second derivative of h - 42*h**5 + 2 + 5 + u*h - 3 wrt h.\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 701.3179 centuries?\nAnswer: 841581.48","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 57778.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 172079518 and -0.2.\nAnswer: 172079517.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -3*h**4\/4 + h**3\/3 + h**2\/2 - 2*h. Let y be s(-1). Let z be 18\/15*y\/(-3). Solve n - 5 = -z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2*2\/5)\/1)\/(696\/232)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**23\/k**(-12)*(k*k*k**(2\/23)*k)\/k*k**(2\/39) assuming k is positive.\nAnswer: k**(33313\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15945 and 1215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/209 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.28 - 0.18. Let r = p + -0.1. Let t(q) = q**3 + 9*q**2 + 9*q + 11. Let l be t(-8). What is the third biggest value in 0.4, l, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:49 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -74 + 228 - 75 - 78. Let n(x) = 4 + x + 0 - 1. Give -2*n(t) + 6*z(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, 2, -861, -4, 149 in ascending order.\nAnswer: -861, -4, -2, 2, 8, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 472\/(-180) - 4\/10.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729698*v**2 + 729669*v**2 - 1459361*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - 1166611154.92.\nAnswer: -1166611154.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*w - 63*w - 2*z - 13, 3*z = -5*w + 39 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -43.67 bigger than -39111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 8*a - 20)*(6 + 3 - 1)*(26 + 27 - 37) + a + 0 + 0 to v + q*a and give q.\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*u**2 - 4*u**2 - 3*u**3 + 394*u - 394*u in the form c*u**3 + x*u**2 + f*u + j and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -78*t - 3715. Determine x(-49).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -59. Let i be 38*1 - (-4)\/(x - 0). Let n be (-40)\/i*3*-45. What is the highest common divisor of n and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61\/4 of a millennium?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -309811.\nAnswer: -309811, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l + 2362 - 7297. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*r - r + 5 = 0, -4*i + 20 = -3*r. Let h = 1 + i. Suppose -l + 45 = -21. Calculate the greatest common factor of l and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18027 + -18070. Which is smaller: -18 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/353, 131428 in increasing order.\nAnswer: -0.3, 1\/353, 131428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11019, 11045, 11097, 11181, 11303, 11469, 11685?\n\"Answer: x**3 + 7*x**2 - 2*x + 11013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 17*t**3 + 917*t**2 - 51*t + 162. Give n(-54).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 2, -2 in descending order.\nAnswer: 2, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**4 + 4986*y**3 + 402003*y**2 - 506586*y - 8138520 = 0.\nAnswer: -78, -4, 5, 1739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:45 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4\/(-18) - (-64)\/1008.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 7*d**2 + 24*d + 5. Calculate h(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5990*v**3 - 2262 with respect to v.\nAnswer: 17970*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30122110 (base 4) in base 6?\nAnswer: 1031204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1836*s**2 - s - 1844*s**2 + 0*s**3 + 2*s**3 - s**4 to k + b*s + d*s**3 + u*s**2 + v*s**4 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 37 + 5*l**3 - 14*l**3)*(-2*l + 0*l - l) as p*l + f + i*l**2 + n*l**3 + r*l**4 and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 0, -1, -1.35, -12, -464?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 - 72\/(-42). Suppose -r*g = -0*g. Suppose g = -5*o + 175 + 55. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/3)\/((-9)\/(-6)). Suppose 5*p - 15 = 0, -d*h - p = -7*h + 102. What is the remainder when 39 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*2 - sqrt(2016))\/(sqrt(315)\/sqrt(5)) - ((4 + sqrt(24)\/(sqrt(12) - -1*sqrt(12)))**2 + -4).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -167606 or -167599?\nAnswer: -167599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttwp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, t: 2, v: 1}. Give prob of picking 1 u, 1 t, and 1 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/9)\/((-240)\/1296)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -17*l + 408. Let o be u(24). Solve y - 2 = 5*x - o, 5*x - 10 = 5*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 + 481 = -14*c, 3*c = -3*q - 0 - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/4243, 0.71, 6 in ascending order.\nAnswer: 6\/4243, 0.71, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 - 106. What is the remainder when 268 is divided by f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22c1 (base 13) in base 2?\nAnswer: -1001100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138350?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402692371 to the power of 1\/2, to the nearest integer?\nAnswer: 37453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 11*w + 9. Let r be n(6). Let q be -4*3\/(-102) + (3 - r). What is the closest to -4 in -3, 5, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3749, -14991, -33727, -59957, -93681, -134899, -183611?\n\"Answer: -3747*x**2 - x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + 11361?\nAnswer: 11404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*w - 51*w + 112. Calculate the remainder when 9 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -5. Let i(q) be the first derivative of -3*q**2\/2 - 14*q - 32. Let p be i(b). Solve p = -d - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021373299 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150501048?\nAnswer: 2, 571, 251861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44677 + -197397. What is k rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223017437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 709506 - 419.\nAnswer: 709087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 5*w**2 - w + 4. Determine b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-1 - (3 - 7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 1) + 14 + 5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 214 and 749?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -53. Let i = 5 + m. Let y = i + 40. Calculate the remainder when 12 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 307*p**2 - 1840*p - 11893. Determine i(313).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*x - 39. Let c be 1 + x\/12 + -3*1. Sort 4\/5, 4, c, 1\/4 in decreasing order.\nAnswer: 4, 4\/5, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 61*p - 4. Let t(z) = -62*z + 3. What is 3*m(x) + 4*t(x)?\nAnswer: -65*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -12 + (2 - 2) - 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 - 9*o**2 + 199.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.53345 years in centuries?\nAnswer: 0.5153345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - k - 6. Let w(r) = -3*r**2 - 3*r - 13. Let x(n) = 5*p(n) - 2*w(n). Is 13 a factor of x(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5847 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: In base 16, what is -6 - -40dc?\nAnswer: 40d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 1. Let c(s) = 21*s**2 - 5*s + 6. Let j(w) = 6*a(w) + c(w). Let g be j(1). Suppose 3*k = 2*k + g. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + m - 2, 4*v - 6*m = -3*m - 11. Is 1164\/18 + v\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1) - (-72)\/(-9). Let j(k) = 2*k**2 + 13*k + 9. Let y be j(x). Let a be y\/12 - 6\/60. Is a > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 81 - (4 - 19)\/(-3). Let v = 81 - n. Solve -3 = 4*i + v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7419968831605 and -11.\nAnswer: -7419968831616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19402607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 9858015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*h - 55474 - 115934. List the prime factors of h.\nAnswer: 3, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89.165 - -0.965. Let w = 107 + j. Round w to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 21 + 15 = 12*p. Calculate the remainder when 1518 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2893 in -0.5, 0.4, 1\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {m: 5, x: 12, y: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(2\/4). Let h(s) = 2*s + c - 15*s**3 + 2*s**2 - s**2 - 2. Is h(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.007? (a) 4 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500)*-5)**2 + -2.\nAnswer: 49998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -6 + 5 + 7 + -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/30 - 2)\/((-42)\/105).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 0.03, 0.2, 1.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0270959 litres to millilitres.\nAnswer: 27.0959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 9. Let r be 1\/(-2) + h\/12. Factor r + 2\/3*x**2 - 2\/3*x.\nAnswer: 2*x*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f**3 - 2*f**2 + 1. Let j be k(1). Let a be 10\/(-25)*j\/(-12). Let u = 27\/4 + -7. Put a, u, -2\/3 in decreasing order.\nAnswer: u, a, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460538.\nAnswer: 2, 3, 17, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 753041599 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 608*x + 89280. Calculate s(248).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**5\/30 + 5*b**4\/6 + 82*b**2. Suppose a(z) = 0. What is z?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*m - 2264 + 686 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Let v be (8\/2)\/(1\/(-3)). Let l = -8 - v. Let h(a) = 4 - l - 2*a**2. Calculate h(k(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**3 + s - 20239*s**2 - 1 + 20245*s**2 - s**4 - 2*s**3 to the form x*s + j*s**2 + n*s**4 + g*s**3 + d and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 599.9573 + -600. Let v = i - -4.9327. What is v rounded to one decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 (base 11) in base 13?\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/13, 47, 340?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.008 - 0.308. Put 0.45, y, 2, -5 in descending order.\nAnswer: 2, 0.45, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145742, -291478, -437214, -582950?\nAnswer: -728686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 235 (base 11) to base 4\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**4 + 823*s**3 - 193097*s**2 + 9477653*s - 26717226 = 0.\nAnswer: 3, 62, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 0*p + 15*p**2 + 10 + p. Let q(m) = -5*m**2 - 11. Let f(o) = 8*o**2 + 16. Let g(b) = 5*f(b) + 7*q(b). Determine -10*g(d) + 3*v(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 37 times -12\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -19*s**3 + 2*s**2 - 3*s - 2. Let l be x(-1). Solve h = -l + 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 84 = -4*p - 135, -71*j + 72*j = 2*p + 17 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 375823.8l?\nAnswer: 375823800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3*n*t + 27*i**3*t + 227*i**3 - 113*i**2*t - 7*i**2 - 168537091*n*t - 2 with respect to n.\nAnswer: -i**3*t - 168537091*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 8*j + 59. What is q(12)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 2\/5 (c) -0.2 (d) 2366 (e) -0.3 (f) -91 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2.94 (b) 2\/9 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8717 in 11\/18, -1\/4, -0.5?\nAnswer: 11\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 133947857 - 133947857.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**2 - 3*t. Let d(i) = 45*i**2 + 21*i + 5. Let q(f) = 23*f**2 + 11*f + 2. Let g(b) = 2*d(b) - 5*q(b). Determine -6*g(r) + 26*o(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/180)\/((4\/3)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 25, 0, -35 in decreasing order.\nAnswer: 25, 3, 2, 0, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -143*q + 5204. Determine n(36).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88924515 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (50 - 49) + -3 + 0 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 0. Let u = x - 0.4. Let n be (-9 - -7) + 22\/12. What is the nearest to u in n, 0.4, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 4)*(20*f + 202 - 202) in the form j + y*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380526753 is divided by 1304.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1 - 2*j + 3*j**2 + j**2 - 3*j**3 - 2 + 4*j**3. Let o be h(-3). Solve 2*l - o = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423 = -71*p + 118*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = -z + 621, 0 = 2*p. List the prime factors of z.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 6*o - 143. Let n = o + -47. Suppose p = -1 + 4. Solve 2*u = -p*i - 12, 5*u + 18 + 5 = -n*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 17 = z, r - z = 15 + 6. Let b = 3 - -8. Calculate the remainder when r is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjqjqjrjrjrjr. What is prob of sequence jrj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -152616 take away 0.4?\nAnswer: -152616.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151673 is divided by 5833.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {e: 3, a: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639*j**2 - 1034*j**2 + 696*j**2.\nAnswer: 301*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 20*f**2 + 5*f + 17. Let u be h(-14). Suppose -1120 = 4*d + t + u, -3*d - 3*t - 3747 = 0. What is d rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2 + 5 - 5. Let x(v) be the second derivative of -v**6\/720 - 5*v**4\/12 + 3*v. Let u(c) be the third derivative of x(c). Calculate j(u(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7\/3, -2, 19, 3.96, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*i**2*x**3 - 2*i**2*x**2 + 190*x**3 with respect to i.\nAnswer: -142*i*x**3 - 4*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-14 + 2\/(-1)). Suppose 4*l + 8 = -4*a, -2*l - 5*a - 16 = 3. Suppose -4 + 10 = l*t. Calculate the greatest common factor of t and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, r: 2, g: 4, m: 1}. Give prob of picking 1 m and 3 w.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 529082955 to the nearest integer?\nAnswer: 23002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, c: 8, a: 5}. Give prob of sequence ac.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence addf when four letters picked without replacement from afadaaaaaadaqaqadaa.\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 + 204. What is the biggest value in s, 3\/5, -0.05?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455 = -b - 455 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 1.5 (c) 2\/9 (d) 7 (e) -2\/11 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 328, 3 in ascending order.\nAnswer: -5, 2, 3, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*-2*1\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1915 - 44147?\nAnswer: -42232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -327.381 + 327. Let z = w + 0.079. Round z to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - ((18 - (11 + -5)) + 2 + -4).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m + 4. Let i(a) = -8*a - 5. Calculate 5*i(d) + 6*k(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -7\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 463 + 1807. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*j**2*t**2 - 14*j**2 + 6*j*t**2 - 248*t**2 - 45 wrt j.\nAnswer: -162*j*t**2 - 28*j + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 41. Which is the third smallest value? (a) 0 (b) -0.16 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 103*u**2 + 104*u - 197. Let j be s(102). Solve 28*q = j*q - 126 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 13 = 30. Let o = -39 + n. Solve 2 = s + 2*c - 8, 0 = -2*s + 2*c - o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 + 142 + -134 + -1 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 4*b**2 + 13*b + 8. What is v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 432 + -431. Let a(q) = 593*q**3 + 2*q**2 - 2. What is the tens digit of a(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by (6\/(-10) - -1)\/((-3)\/(-120)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 6*v**4\/5 - 924*v**3\/5 + 10494*v**2\/5 - 7728*v + 8520 = 0.\nAnswer: 2, 5, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -949\/420 - 58\/35. Find the common denominator of x and 6\/11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6674\/545 < 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31b0b (base 14) to base 16.\nAnswer: -1d55f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k**3 - 23*k**2 - 7*k - 6. Let x(z) be the first derivative of -3*z**4\/4 + 8*z**3\/3 + z**2 + 2*z - 2276. Determine -2*q(l) - 7*x(l).\nAnswer: l**3 - 10*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-329)\/(-63) + -3)\/((-16)\/60)\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13\/5, -0.12, -2\/3, 4, 1\/30, 0.258?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4460 by 2230.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143938.\nAnswer: 2, 79, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*q**2 + 1165*q**2 - 201*q**2)*(-8 + 3 - 2*q + 4*q) + (3 + 0 - 2)*(-q**3 + q**3 - q**3) to g*q**3 + v + n*q + k*q**2 and give g.\nAnswer: 1971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1543, 3087, 4631, 6175, 7719, 9263?\n\"Answer: 1544*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1 + 4408*c - 4414*c - 4. Let z(l) = -13*l - 7. What is -5*j(h) + 2*z(h)?\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -960550 (base 10) to base 5.\nAnswer: -221214200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -117*n**2 + 15145*n - 7241. Differentiate a(h) wrt h.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.4 - -34.4. Which is the closest to 0.1? (a) -11 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 32*i = -31*i - 11, -q = 4*i - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 322 - 10*l - 322 + 13*l**3 + (-4*l**2 + 0*l**2 + 3*l**2)*(l - l + l) as n + g*l**3 + c*l + v*l**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43955285 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -478*k**3*w - 18*k**3*y**2 + 2*k**2*w*y**3 + 630*k*y**3 wrt w.\nAnswer: -478*k**3 + 2*k**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - -101100100111?\nAnswer: 101100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d7089 (base 14) to base 12.\nAnswer: -210241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -598530321 plus -141630?\nAnswer: -598671951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0 (b) 1\/4 (c) 52 (d) 1\/8 (e) 0.1 (f) -3\/2 (g) 0.15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.6, 3, -0.7, 9, -1243?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5595*g**2 - 6*g**3 + 5595*g**2 - 7 + (7*g - 2*g - g)*(3*g**2 + 0*g**2 - 5*g**2) + 3*g**3 - 3*g**3 + g**3 - 4*g**3 + 0 + 3*g**3 + 2.\nAnswer: -14*g**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + 745?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 6. Suppose 36 = 4*l - 4*u, -3*u = -u. Let n = l - z. Solve -4*r = -q - 4 + 3, -n*q = -r + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.031951 - -1309.888049. Let v = 1340 - f. Round v to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 191 + 9*v - 3*v + 28 + 41. Let f be b(-43). Solve 4*n + 4 = -f*t + 4*t, -t = 5*n + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*-2*(-2 + sqrt(1008) - sqrt(1008) - sqrt(1008))**2 - (-5 + -1*sqrt(1008) - -4*(sqrt(1008) + -1 + sqrt(1008))**2).\nAnswer: -52559 - 1524*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d - 3*y - 1260, -3*y = -15. Let h = -179 + d. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 7*g - 96 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Solve l*b + 2 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2 - 125490*p - 125487 = 0. What is p?\nAnswer: -41829, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 8208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177 is divided by 223?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*-1*sqrt(156) - -2*sqrt(156)*-2)\/(sqrt(432)*-2*2))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142 - 137*t**4 + 291 + 191*t + 3*t**5 - 149 wrt t?\nAnswer: 60*t**3 - 1644*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16181, -64791, -145833, -259307?\nAnswer: -405213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3802974 and 4436803.\nAnswer: 26620818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 1)*(-1 - c + 1) + 2*c + 0*c + 2*c + (-1 + 3 - 3)*(-3*c + 3*c - 2*c) - 2*c + 4*c - 3*c - 3*c + 2*c - c)*(-2 + 1 + 4).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 3:00 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 244\/687? (a) 4 (b) 1 (c) 3 (d) 11.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 118*n**2 - 7*n + 844. Let i be h(118). Calculate the greatest common divisor of 24498 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -2. Let m = v - -16. Calculate the lowest common multiple of (-3 - 47)*12\/(-30) and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 0.19 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 128402, 127759, 126686, 125183?\n\"Answer: -215*r**2 + 2*r + 128615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**2 - 8*s + 8. Let k = 21 + -13. Suppose -k*o - 6 = -9*o. Determine t(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 15*l**2 - 17*l - 5. What is the tens digit of g(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/103, -0.1, 0.4?\nAnswer: -4\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**2 - 26*k - 16. Let u(p) = -2*p**2 - 2*p + 1. Let x(i) = -q(i) + 3*u(i). Let d be x(0). Solve -d*t = -8*t + 44 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:05 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4564*y - 73070. Calculate p(-16).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 11:44 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/754350132 or 0?\nAnswer: 1\/754350132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2169 + -2155. Solve -11*c + 4*k = -7*c - 24, c + 4*k + g = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 8*x + 208. Let b(d) = 25*d. Let w be b(-1). Does w = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 3*x - x)*(0*x + x - 2*x)*(-35 - 2 - 9)*(-x - 3*x + 6*x)*(x - 5*x + 5*x).\nAnswer: -276*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Suppose -7*y + 12 = -l*y. Differentiate 8 - 1 + i - y*i - i with respect to i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/9 - 20*c**2\/9 - 56*c\/9 - 16\/3 = 0. What is c?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (7 + (-26 - -14) + -55 - (7 - -2))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 c when three letters picked without replacement from ucuyyyucy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuvt when four letters picked without replacement from vuut?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 7*d**5\/3 + 460*d**4\/3 - 3988*d**3\/3 + 10208*d**2\/3 - 2752*d = 0.\nAnswer: -516\/7, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98465 or 1?\nAnswer: -98465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -3.5529206.\nAnswer: 49.7408884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 11:18 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 5*h**2 - 2*h - 6. Let p be q(4). Let j be (-1 - p)*1*1. Is j\/((21\/(-122))\/7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhnnnnhnnnrnnhh. Give prob of sequence nr.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 11*i = 4. Suppose 5*z + 1 + 6 = -3*l, -i = -z - 3*l. What is the nearest to -1 in z, -0.08, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07+-14574936417359\nAnswer: -14574936417358.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:56 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*z = 2*p + 15, 2*p = -3*z - 15. Suppose p = 4*y - 1419 - 17. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 20 = 5*b, -5*b + 110 = 2*d + d. Suppose 5*p = p. Suppose -m + p*m = -18. What is the highest common factor of m and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 44*s**2 - 49*s - 171. Determine n(-45).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(1573) - (sqrt(1573) + -1) - sqrt(1573)) + 5)**2 + (sqrt(1573)*1*-1)**2 - (sqrt(1573) - sqrt(1573)*-3*-5)**2*-2).\nAnswer: -132*sqrt(13) + 619796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-16))\/1*((-864)\/9)\/8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i - 7 = -n - 38*i, 2*i + 4 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + (-1044)\/54)*12\/10?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) + 1*sqrt(132)*5 - sqrt(132))\/((sqrt(36)\/sqrt(3) + sqrt(12))*-2) + 5)*-1)**2*-3.\nAnswer: -2025\/16 + 75*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:57 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -728, -714, -706, -716, -756, -838, -974, -1176?\n\"Answer: -2*m**3 + 9*m**2 + m - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - (sqrt(76) + -2)) + 5)**2 - ((sqrt(76) - (sqrt(76) + -3))*-6 - sqrt(76))**2) + (5*sqrt(228)*-1)\/(sqrt(132)\/(sqrt(11)*1))*3.\nAnswer: -87*sqrt(19) - 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 16 = 5*d, 0*s - 5*d - 37 = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12403592*i**2*y**5 + 470253*i**2*y**2 + i**2*y - y**2 - 1 wrt y.\nAnswer: -744215520*i**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 + 2 = 0. Suppose 0 = f + n*u - 17, -3*f - 14 = u - 5*u. Suppose -5 = -5*v - 0. What is the second smallest value in 1\/4, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9219 + 9221. Let v(l) be the second derivative of 0*l**t + 44*l - 2\/15*l**3 + 0 - 1\/10*l**4 - 1\/50*l**5. Factor v(i).\nAnswer: -2*i*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/16, -2\/23, -3\/8, -2\/5, 2 in decreasing order.\nAnswer: 2, -2\/23, -3\/8, -2\/5, -15\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25 (b) 23 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 0*d)*(-3*d + 2*d + 2*d) + 49*d + 41*d + 2*d**2 - 99*d + (-3*d + 2 - 2)*(d + 1 - 1).\nAnswer: -2*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3\/3 + 170*p**2\/3 + 740*p\/3 + 760\/3.\nAnswer: -5*(p - 38)*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + 5)\/((-1)\/2). Suppose 2*j + 3*h - h - 10 = 0, 0 = a*j + 2*h - 16. List the prime factors of 2 - j - -26 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 56*s - 9614. Let w = -6 + 8. Let k = 1 + w. What is the remainder when l(-130) is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.29, 0.2, 2, -51\/10, -2\/11?\nAnswer: -51\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 43538.\nAnswer: 391842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/7705, 0.3 in descending order.\nAnswer: 0.3, 2\/7705, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(170) - (2*sqrt(170) + sqrt(170) - sqrt(170))))\/((sqrt(10) + sqrt(10)*-1)*-2 - sqrt(10)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.88 - -0.1652?\nAnswer: 23.0452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.556 - 10.4. Let r = 0.065 - y. Let k = 0.091 + r. Which is the fourth smallest value? (a) -4\/7 (b) k (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:29 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2668.3 - 2517. Let j = -151 + v. What is the nearest to -2 in j, -1, -0.5, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*v - 10*v + 17*v)*(v + 1 - 1)*(v - v**2 - v).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 - (0 + (-4 - -1)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 - (0 - (-4 + 8)). Suppose -c = -3*r + 68. 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 96.68869 centimeters in kilometers?\nAnswer: 0.0009668869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11215986 divided by -39773\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by 3516.\nAnswer: 37\/1758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3609\/11, -101\/7?\nAnswer: -3609\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*w - 20. Let i = w + -3. Let n(f) = -f**2 + 3*f**i - f**2. Let s(p) = 7*p**2. Calculate n(s(k)).\nAnswer: 49*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 161337.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2*(-2)\/(-8))\/((-5)\/(-60)). Let c(r) = -r - 11. Calculate c(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 5*i**2 - i**2 - 4*i**2. Let w(s) = 6*s**2. Give w(m(t)).\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 divided by 162?\nAnswer: 163\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 13. Let i be o(-7). Let t be 4\/18*i\/(-8). Let b = -0.03998 - -0.33998. Put b, t, 0.12 in decreasing order.\nAnswer: b, 0.12, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agwikigwhwhwiia. What is prob of sequence akga?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 439*u**4 + 28*u**2 + 67984.\nAnswer: 1756*u**3 + 56*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2029285.\nAnswer: 5, 405857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*s + 119. Let y be (-4)\/6*(-15)\/s. Sort y, 0.1, 4, -0.3 in ascending order.\nAnswer: -0.3, 0.1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6466791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - h - 70 - 72 = 0, -4*h - 51 = -f. Suppose -3*s - 11 = -f. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q + 12. Suppose 5*v = q*f + 55, 2*v - 4*f = -0*f + 8. Let d = v + -4. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 1.46743?\nAnswer: 7.53257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(720) - (sqrt(720) + sqrt(720)*-2 - sqrt(720))) + sqrt(720)))\/(sqrt(24)\/(sqrt(726)*-2)).\nAnswer: -528*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 4*n + 6. Let x be j(-8). Is x\/(3 + (-1)\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 17*p + 1177. Let o be ((-1740)\/p)\/10 - (2 - -1). Let q be 7*(-2)\/10 + 2. What is the closest to 0.2 in 4, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/42 + 3474372\/28 + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**3 + n - n)*(-75 - 81 - 26) - 2*n**3 + 3 - 3 - n**3 - n**3 + 0*n**3 to the form t*n**3 + u*n + k + d*n**2 and give t.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022548 to four dps.\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6499818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15194, 15754, 16314?\n\"Answer: 560*o + 14634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -6. Let m(w) = w**2 + 5*w. Let p be m(j). Let a be 1 + (-6)\/18*1*6. Sort p, a, 2 in decreasing order.\nAnswer: 2, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465922 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: 0 (base 8) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1)\/(-2 + 3). Suppose 4*a + m + 857 = -a, -517 = 3*a + u*m. Let z = a + 250. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/144)\/(-1*(-2)\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 799.74 and 1.5.\nAnswer: 1199.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15344717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 19. Suppose -2*p + 76 = 2*b, -23*b + 5*p - 110 = -26*b. What is the remainder when b is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005942 to six decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*u + 935*u + 92 = 468*u for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + ((sqrt(325) - (sqrt(325) + -2*sqrt(325)*-2)) + (-3*sqrt(325) - sqrt(325))*-6 + 1)**2.\nAnswer: 200*sqrt(13) + 130003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -2*y**2 - 1868. Let d(p) = -60*p - 1. What is u(d(g))?\nAnswer: 240*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091474 is divided by 188?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*323\/34)\/1 - 294\/12?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9316 is divided by 495.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011110111010111000111 - -10100?\nAnswer: -11011110111010110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 80*f - 142*f - 4*f in the form v*f + s and give v.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16\/7 - 17\/7. Suppose -5*v = -v + l + 4, 4*l = 0. What is the second biggest value in 8, 1, v, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ampm when four letters picked without replacement from mpmppmmma.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0)**(2\/27)*(v\/(v*v\/(v**5*v)))\/v*v*v\/(v\/(v\/(v\/((v**(-2\/11)\/v)\/v)*v))*v)*(v**(-6)*(v*v**2)\/v)\/(v*v**0*v)**(13\/2) assuming v is positive.\nAnswer: v**(-4784\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 38 = -5*a + v - 14, 0 = -5*a - 4*v - 65 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 125631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 16 - 21)*(38*i**2 + 2 - 51*i**2 + 52*i**2).\nAnswer: -1326*i**2 - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2 - (-86403)\/43200). What is w rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -16. Suppose u*t + 34 = 2*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/32 - 205\/20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -6. Let s(c) = -c + 1. Let l be (-16)\/6 + 2\/(-6). Let f(q) = 2*q - 1. Let o(r) = i*f(r) + l*s(r). Differentiate o(j) with respect to j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-376)\/846 - 16\/18)\/((-8372)\/138)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-25*(-6)\/90\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 184*v**2 + 520*v + 1002. Determine w(-2).\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 314*r + 563*r - 112*r - 106*r + 113*r - 1401 wrt r?\nAnswer: 772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -14*(-1)\/(-9). Let n(p) = 2*p**3 - 7*p**2 + 5*p - 1. Let a be n(4). What is the biggest value in a, m, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60522.2658 to the nearest 10.\nAnswer: 60520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-2\/7)\/g))**(-2\/67)*g**(-6)\/g*g\/(g\/(g**4*g))*(g\/g**0)**(4\/5)\/((g*g*(g**(-4\/3)\/g*g)\/g*g)\/((g**2\/g)\/g)) assuming g is positive.\nAnswer: g**(-13822\/7035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-88)\/(-297))\/((-4)\/(-6)). Which is the second smallest value? (a) -2 (b) 0.1 (c) 1\/7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w**2 - 7. Let m(r) = -9*r - 583. Let u be m(-64). Suppose -13 = -5*a + 4*t, a + t = -t + 11. Let l(b) = -6*b**2 - 5. Determine a*n(s) + u*l(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-8668)\/792 - (5 - (2 + (-11226)\/(-108))).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n = 3*d, -3*n - 4*d + 34 = 0. Let m(w) = w**3 + 2*w**2 - 8*w + 3. Calculate the lowest common multiple of n and m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 121*f - 17. Let k(v) = -122*v + 18. Let l(x) = -6*k(x) - 7*t(x). Is l(-6) 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 -754, -740, -718, -688, -650, -604?\n\"Answer: 4*k**2 + 2*k - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*42*(-66)\/136752?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/2 - (4 - 0\/(-3)). Solve 3*i + 5*l = -j, -5*i - 7 = 4*l + 28 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 n, and 1 h when four letters picked without replacement from hancvnh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 796663 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8032738*k**4 - 4214036 wrt k?\nAnswer: 32130952*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81510 and 36894.\nAnswer: 3504930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from tbekokbf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*-1*(-3)\/9 + 8. Suppose 0 = -y + m. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 - 11*t**3 + 10*t**2 + 64*t\/3.\nAnswer: t*(t - 32)*(t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-20)*1175\/470\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:05 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -6, -184719.\nAnswer: -184719, -6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624202 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a98228 - 2?\nAnswer: -a9822a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 129856 divided by 2\nAnswer: 64928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 6*c - 31. Let p = 59 + c. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2. Let d = -4 - -8. Let g(z) = 0*z - d*z - z. Calculate b(g(l)).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -3. Let b = n + -3. Is (-109)\/(-3) + b\/(-12) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:49 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 2*x + (-22 + 22 - 27*x)*(-6 + 1 + 1) to the form j*x + q and give j.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*p + 40*p - 61*p)*(82 + 47*p - 97*p + 48*p) in the form v + g*p + w*p**2 and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17034.2743 less than -0.1?\nAnswer: 17034.1743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 527*-0.2.\nAnswer: -105.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + (sqrt(45) - (sqrt(45) + (sqrt(45) - 3*(-4 + sqrt(45))))) + -4)**2.\nAnswer: -228*sqrt(5) + 536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + 9 + -2130 + -12. Which is bigger: l or -2128?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/2 + 2567*z**4\/2 - 12891*z**3 - 15457*z**2 + 25781*z\/2 + 28347\/2 = 0. Calculate z.\nAnswer: -2577, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 142 (b) -1\/2 (c) 4 (d) 0.4 (e) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381 and 3556?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.43704871 to 2 decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 50 = -4*s, 74 = 4*t + 5*s. Suppose -w + t = 6. What is the remainder when 42 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3242 - -3248. Let k(n) = n**3 - 9*n**2 + 3*n - 12. Determine k(t).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.138 - 0.225. Let t = j - -0.04. Round t to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 17. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1727128.\nAnswer: 2, 13, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -239.7 - -240. Sort -5, l, 0 in descending order.\nAnswer: l, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, v: 1, y: 1, o: 1, w: 1}. What is prob of picking 2 o and 2 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 55*x**4 - 5*x**3 - 220*x**2 - 145*x + 5. Let l(f) = f**5 + 82*f**4 - 8*f**3 - 330*f**2 - 217*f + 8. Let z(v) = -8*a(v) + 5*l(v). Factor z(s).\nAnswer: 5*s*(s - 5)*(s - 3)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*k - k. Suppose 3 = k*x - 7. Let m(g) = 90 - 2*g**x - 90. Let z(h) = 11*h**2. Determine m(z(a)).\nAnswer: -242*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p - 1. Let a(r) = -26*r**2 + 13*r + 13. Let s = -5820 + 5824. Calculate s*a(j) + 52*x(j).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-15))\/(2\/115)*-2. Solve -16*g = 25 + j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -2) + 3 + 2. Let g(h) = -2*h + 1. Suppose 4*j = 5*j + 3. Let l(r) = -r. Give j*l(f) + w*g(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 0.4, 3, -5 in increasing order.\nAnswer: -5, 0.4, 1.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.129186 - 84?\nAnswer: -82.870814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*m**2 + 8 + m + 5*m**2 - 9*m**2 - 17 with respect to m.\nAnswer: -16*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*k**3 + 123*k**3 - 27*k**3 - 50*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 6 = -38 + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 6*v**2 + 4*v - 6. Let p be a(-5). Suppose 987 - 177 = 18*z. Let j be z\/(25\/5) - p. Solve 0 = -5*i - j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + r + 4*r + 297 = 0, 3*k - 2*r - 288 = 0. Let v = -87 + k. Solve -v*c + 8 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2. Let m be k + -1 + 2\/1. Suppose 0 = 4*b - m - 218. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (15 - 10 - 5) - -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 1230647.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z - 1. Let y be f(-1). Let v be (0 - -1 - -1) + 2. Suppose 0 = 5*p + v*u - 176 + 29, 0 = 3*p + y*u - 96. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 55*q**4\/8 - 889*q**3\/6 + 2176*q**2. Find the first derivative of n(a) wrt a.\nAnswer: 165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7863, 4, -21, -131 in descending order.\nAnswer: 4, -21, -131, -7863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38333095 or 38333130?\nAnswer: 38333130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 - 3*b + 2. Let t = 0 + 2. List the prime factors of k(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(11\/5))*q**6*(q**(-3))**(-1\/40))**(-2\/11) assuming q is positive.\nAnswer: q**(-331\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (130\/8)\/5 + -10 + 7. Let a be (2\/14)\/(6\/12). What is the closest to o in 4, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418*y**2 - 1255*y + 3 = 0. What is y?\nAnswer: 1\/418, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 7:06 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2068*f + 79177. Suppose 5*o = -0 + 15. Suppose 0*p = -o*d - 3*p + 60, -4*d - p + 71 = 0. What is the remainder when q(-39) is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/1749755 and 22\/1749755?\nAnswer: 1749755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jmjmmmmjjjmjjjjjjj.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91247, 91227, 91207, 91187, 91167, 91147?\nAnswer: 91127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.24? (a) 4 (b) 0.4 (c) -13.6 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l + 465. Suppose -2*r + 5*r - l = 0. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6468 or -0.67?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87205*-15.\nAnswer: 1308075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -152*j**2 - 78*j + 225. Determine v(3).\nAnswer: -1377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36719 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 5:49 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 5, f: 3, r: 7, d: 3}. What is prob of sequence rp?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q. Let t(w) = -205*w**2. Give l(t(o)).\nAnswer: -1845*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7\/1*3565\/35 is divided by 353.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -21*u**5\/10 - u**3\/2 + 7*u**2\/2 - 12*u + 1. What is the second derivative of z(v) wrt v?\nAnswer: -252*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 1386, 3335, 6064, 9573?\nAnswer: 13862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -19. Suppose 0 = -n + k - 6. Let c be 2\/5*(-15)\/4. Is n not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p - 225. Let k be f(30). What is the units digit of 23643\/k - -3*(-1)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -5429.\nAnswer: -5429, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/25*(2 + -7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 1, c: 4, m: 1}. What is prob of picking 1 c and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 49.8547.\nAnswer: 49.6547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((26\/3)\/((-64)\/(-12)))\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/((-198)\/84))\/((-2)\/(-147)). Suppose 3*h + u = 4*h. Does 29 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 270*m - 60*m + 7*m**2 + 358863*m**3 + 2014*m**5 - 358863*m**3 wrt m?\nAnswer: 120840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2 - 43*q - 100. Calculate f(-3).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 89 = c, -2*c - 3*c + 5*a - 124 + 13 = 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 + 26*s**3 - 68*s**2 - 24*s**3 - 3 to r + a*s**2 + t*s**3 + o*s and give a.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 139 (b) 2 (c) 7 (d) -6\/77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3221.1018 - -3222. Let z = 0.9 - k. Round z to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -491, -25, 747, 1819, 3185, 4839, 6775?\nAnswer: 8987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33367270 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*v - 1706 - 406 = 0 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w - 12. Put -4, w, 1 in descending order.\nAnswer: w, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -86*t**2 + 5*t - 5. Let o(p) = 1547*p**2 - 91*p + 91. Calculate 5*o(w) + 91*q(w).\nAnswer: -91*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2 + 0*z + 7 + z. Let w be u(-7). Suppose d = -w*d + 33. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -189*r + r**3 + 3*r**2 + 2 + 739*r - 182*r - 181*r - 182*r. Give m(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*46\/92*(1 + -17).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 42317 = 246716. Let i = 681263\/30 - y. Calculate the common denominator of -79\/33 and i.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**1*p)**(1\/3)\/(p**(-1\/8)\/p*p**2\/p) assuming p is positive.\nAnswer: p**(19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20267584003 - 20267584003 - 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 7, -0.1, 0.3, -2, 58\/7, -6, -0.06?\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - p + 0*p = -82, -4*p = 4*d + 120. Let f = 76 + d. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 1\/4*c**4 + c + 0*c**2 - 1\/3*c**3 - 25. What is the units digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/7))\/p**(-1\/4)*p**(-2)\/(p*(p**(2\/5)\/p)\/p))**18 assuming p is positive.\nAnswer: p**(-369\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 626277456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(-12638*v**4 - 2471*v**4 - 7902*v**4) to the form m*v + q*v**4 + h + o*v**3 + b*v**2 and give q.\nAnswer: -46022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2 + 16 + 12\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*v**4 - v**3 - 2*v - 347 wrt v?\nAnswer: -1560*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15\/14*13230\/900 + -23\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0 (b) -0.3 (c) 227 (d) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127436 is divided by 29434?\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 999755 and 7598138?\nAnswer: 37990690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(15\/2)\/p*p**(-2\/7)*(p*p**(-28))**(-4) assuming p is positive.\nAnswer: p**(1599\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 29107354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2032 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9019 is divided by 2250?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -29*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -32*c + 31*c + 19 + 4 + 5. What is the remainder when (-1 - -1 - -1)\/((-25)\/(-875)) is divided by u(9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l**2 + 2. Let c(q) = 14124*q. What is c(s(f))?\nAnswer: -127116*f**2 + 28248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8219*o**3 - 7*o**2 + 8*o**2 - 8216*o**3 - o**2.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3909\/92, -0.12, 3\/5 in decreasing order.\nAnswer: 3909\/92, 3\/5, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 3\/5, 31, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7))**48*((v\/v**(1\/6))\/v)\/v**(-5))**(-1\/51) assuming v is positive.\nAnswer: v**(373\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 0*a**2 + 1\/2*a**3 + a + 0. Let u(y) be the second derivative of y**3\/6 + 26*y. Calculate u(g(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 13*u - 158. Calculate the lowest common multiple of g(-26) and 42.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 15*i**2 + 5*i - 15.\nAnswer: -5*(i - 3)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.7 + -32.7. Which is the closest to 0.29? (a) o (b) 0.4 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -121819.9.\nAnswer: -609099.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {j: 1, m: 2, f: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 15*w**2 + 121*w + 855.\nAnswer: -(w - 9)*(w + 5)*(w + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 136827184 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 30060 - 30100 = -5*o, 0 = y + 9*o - 32 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 15*c + 16*c - 13*c - 3 - 18*c + 34*c.\nAnswer: -4*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**3\/3 + 4*s**2 + 19. Determine t, given that l(t) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 362 = -2*f + 300, -3*m = 2*f - 663. Let n = -196 + f. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oom when three letters picked without replacement from fmofo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120943 to the power of 1\/2, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248461 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7931*x + 98. Let v(z) = -2644*z + 35. Give -5*o(b) + 14*v(b).\nAnswer: 2639*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 448 = 128. Which is the smallest value? (a) -3 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-78)\/(-438247)) + 0. Let n = -16859 + b. Let p = 1\/1245 + -105827\/2490. Find the common denominator of n and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3707)\/25949)\/(-2*(-3)\/(-2604)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -322 - -11?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-6 - -3) + 2. Suppose -5*p + 60 + 5 = k. Let n = p + 8. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4526347 greater than 49789804\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1396 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - (-20)\/(-15)*63\/28*-1. Put b, -27, 4, 5, 0 in descending order.\nAnswer: 5, 4, 0, b, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 438621.6 decades to months.\nAnswer: 52634592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/5, 21\/122, -316?\nAnswer: 21\/122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + -2 - (4 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*d - 2075 = -9*d + 40*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + ((19 - 24) + -13 - 35).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*o + 2*a, 29*o + a = 34*o + 28. Let q(u) = -4*u**2 - 25*u - 5. What is q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212\/1035 - 2\/115. Suppose -3*x - 6 = -2*f, -2*x = -4*f - x + 2. Suppose f = 8*l - 12*l - 12. Sort k, 2\/17, l in descending order.\nAnswer: 2\/17, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -129643 greater than -129635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 878902 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = -0*f. Let s be 1 + -2*f*2. Let h be 603\/67*((-20)\/(-9) - 2). Put s, h, -5 in decreasing order.\nAnswer: h, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.563 rounded to zero decimal places?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1065 divided by 25902\nAnswer: -355\/8634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2))**(-3\/37)\/(a**1)**(-46) assuming a is positive.\nAnswer: a**(1705\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a**2 + 0*a**2 + 0*a)*(a**2 - a**2 - a**3 - 3*a**2 - 2*a**3 + 3*a**2 + a**3 + 5 - 5 + (-1 + 1 + 2)*(-3*a - a**3 + 3*a) - 8*a**2 + 7*a**3 + 8*a**2).\nAnswer: -6*a**5 + 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 3870?\nAnswer: 232.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4427136 rounded to 2 decimal places?\nAnswer: -3.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 280996867 a multiple of 915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + d - 17, 32 = -3*r + 4*d. Let o = r - -4. Suppose o = -3*y + 2*y. Solve 2*p - 2 + 0 = y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*k - 0*i + 56, 3*k + i = 42. Let l = -20 + k. Let c = 2 + l. Put c, -5, 4 in descending order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7\/(-3) - -2) + 2352\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -3 (b) 999422 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19338663.\nAnswer: 3, 6446221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885*s + 34798 - 10145 = -23320 - 11322 for s.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77779129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3848.3 + 0.03359376.\nAnswer: 3848.33359376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56.248*-0.0521.\nAnswer: -2.9305208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {e: 2, m: 1, w: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2, 3, 109 in descending order.\nAnswer: 109, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0267302 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:12 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b + 13. Let i(y) = y + 3. Let r(v) = 9*i(v) - 2*w(v). Let n be r(-1). Solve -n*l + 5 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.044 (c) 2\/111 (d) 2 (e) 1 (f) 0.2 (g) 0.091\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 11*u - 6. Let a(v) be the first derivative of -v**2 + 23*v + 3. Let d be a(7). Calculate the remainder when g(d) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 40 = 3*b, -1 - 7 = 2*m. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89760 and 2123880?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 6377814 + 7*v**2 + 6377814 + v**2.\nAnswer: 8*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -0.1 (b) 0.047 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 1. Let p(r) = 4*r - 3. Determine -4*n(y) + p(y).\nAnswer: 8*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.1*17.\nAnswer: 528.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498512133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (0 - (-18)\/(-22)). Let o = -0.5 - 4.5. What is the nearest to -1\/3 in o, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1339, 2682, 4025?\n\"Answer: 1343*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/7, -43338051, -1\/6?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3\/3 + 66*l**2 + 710*l + 5450\/3 = 0.\nAnswer: -5, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21666771 and 2781?\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124 + -72. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5857199 + 158.4\nAnswer: 5857357.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-1) + (-6 - (-80)\/8). Let d(p) = -27*p + 21*p + 6*p + p**m. Let s(g) = -2*g + 34. Give d(s(u)).\nAnswer: 4*u**2 - 136*u + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (98\/(-45) - (-10)\/(-45))*(-15)\/(-2049). Is 0 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 846 and 685072.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91007.\nAnswer: 7, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1447*h**3*s**3 - 161*h**3*s**2 - 3*h**2*l + 10*h**2*s**2 + 18*l*s**3 + 2*l*s**2 wrt s?\nAnswer: 8682*h**3 + 108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 39. Suppose 11*l = o*l + 664. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 8:55 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/3620 and 23\/347520.\nAnswer: 347520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -127362 < -127377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*n**2*y**2 - 8*n**2 + 15*n*y**2 - 795*n - y**2 - 7*y wrt y?\nAnswer: 26*n**2*y + 30*n*y - 2*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.374 + -150.626. Let b = -145.5 - l. What is b rounded to 1 dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*((1 + 0 - 10)*(-3*r + 5*r + 3*r) - 5*r + 2*r + 4*r + 3 + 2*r - 3 + (-2 - 2 + 6)*(3 + r - 3)).\nAnswer: 120*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2044 is divided by 622?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 67063*0.55\nAnswer: 36884.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6299258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11*y**3 + 3*y + 2. Let j be x(-2). Let h be (j\/(-9))\/7*-3. Let v = 0 - h. Put 2, v, -5 in ascending order.\nAnswer: -5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 90111529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 128 = 9*r - 83*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -148\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 1202550783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**6\/120 + 13*w**3\/6 + 2*w. Let x(q) be the second derivative of l(q). Let y(j) = -3*j. Calculate y(x(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 42\/(-16))*((-12)\/(-6) - 0). What is the smallest value in -59\/3, 5, p, 2\/9?\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 9*m**2 - 4*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -61402 < -61401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*f = -l - 46, -4*l = -f - 48. Suppose 5*g - 2*p - 20 = 0, 4*g - p - l = -0*g. What is the remainder when 3 - g*(-20)\/1 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-9))\/((234\/(-156))\/((-135)\/24))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1, 132, -158, 2\/17 in increasing order.\nAnswer: -158, -0.4, 2\/17, 1, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*t**4 + 59*t**4 - t**3 - 115*t**4 - t - 1 as v*t**3 + p*t**4 + z*t + j*t**2 + i and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 8*m + 12. Let t be d(-9). Let w(p) = p**2 - 5*p + 10. Let c be w(t). Solve -c*k = k + 2*z + 7, k = -4*z - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 4*s**2 + s**2 - s**3 + 8*s**2 - 1 - s**3 to b*s + v*s**3 + h*s**2 + g and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzltllltltlllt. Give prob of picking 2 l.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-729)\/12 + -31 + (-13335)\/(-420)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 6. Let i be 2\/(-20)*1*d. What is the third smallest value in 0.4, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -6 - -2 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -51?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 55416289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -24. Let m(z) = -4*z - 7. Let a be m(w). Let n(u) = 7*u + 8. Let q(v) = -6*v - 7. Calculate a*n(k) + 6*q(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/52 and -11\/456?\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1263 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in 3\/2, 0.6, 2\/75?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11799415 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8379986 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.76 rounded to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*b**4 + 250 + 12*b**4 + 180*b**3 + 1475*b + 180*b**3 + 13*b**4 + 1185*b**2 - 55*b**3 = 0. Calculate b.\nAnswer: -5, -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/3))\/k*k*(k\/(k\/(k\/k**(-2\/5)*k)))\/k assuming k is positive.\nAnswer: k**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {i: 2, y: 1, n: 2, k: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - 2*y + 0*y)*(4 + 1 + 5) in the form k + l*y and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-46)\/10 + (-6)\/15. Let t(y) = 2*y**2 + 8*y + 5. Let j be t(q). Solve h = -f + 5, 0*h = 5*h - j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5*w + 28, -2*h + 3*w = -0 + 4. What are the prime factors of (-35)\/(12\/40 + (-2)\/h)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 4*s + 6. Let w be a(6). Let r be (-1 - w\/8)\/(-1). Let o be (78\/(-39))\/(-1 + -1). Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from samaaas. Give prob of picking 1 m and 2 a.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z. Let r(d) = 19*d. Let b(w) = -8*n(w) + 5*r(w). Let l(f) = -32*f + 2. What is b(l(m))?\nAnswer: 32*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001143 to 6 decimal places.\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14688082 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8955273 minutes to seconds.\nAnswer: 53.731638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.47 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005773713 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.0178 rounded to 0 decimal places?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 217\/(-600) + (4 - (-348)\/(-96))\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**6\/6 - 5*f**5\/4 - 5*f**4\/4 + 25*f**3\/6 + 10*f**2 - 2*f - 228. Solve w(m) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 997*w**3 - 2146*w**2 + 5113705.\nAnswer: 2991*w**2 - 4292*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 673 (b) -2 (c) 4 (d) -9 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 5, i: 3, t: 7}. Give prob of sequence tqt.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -714*i. Let x(t) = -2*t. What is g(x(z))?\nAnswer: 1428*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*a - 15 = 0, c + a - 157 + 164 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 727762 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -32 + 200. Let c = x + 29. Solve -2*f - 3*m - 2 = 13, m + c = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-2 - -5))\/3. Let i = 25 + -18. Let q = i + -6.5. Which is the smallest value? (a) u (b) q (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522 + 948 = 105*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from qpfjiprq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, b: 8, a: 1, m: 1, y: 4}. What is prob of sequence byby?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 11*a + 2636 = 0. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66092355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -75*s + 194, 8840*a - 8836*a - 180 = -2*s for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + (139 + -105 - (-1 - (6 + -3)))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, -45, -49, -35, 3, 71, 175?\n\"Answer: v**3 - 23*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11318117 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 1. Let s(a) = 7*a - 3. Suppose 7*k - 5*k + i = 15, 3*k = 5*i + 16. Suppose 24 = t - 3*t. Let y = k + t. Determine y*g(w) - s(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 1, -41, 23, 85 in decreasing order.\nAnswer: 85, 23, 21, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21186369 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/75)\/(1\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656218 is divided by 266?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 2*t = -24. Let x be ((-70)\/(-28))\/(1\/(-1) - -2). What is the nearest to 1\/2 in t, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373089277?\nAnswer: 11, 191, 239, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49468407 * 0.3.\nAnswer: 0.148405221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l - 12. Suppose 2*g + l*r = -r + 56, -2*r - 140 = -5*g. Suppose 2*y - g = -0*y. What is the remainder when 26 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a factor of 7467358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-5))\/(3\/10). Suppose -4*j + 7*j = -g. Let i = j - -2. Let a(y) = y**3 + 2*y**2 - 4*y - 3. Calculate a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**6\/27 - 2*q**5\/9 - q**4\/2 - 14*q**3\/27 - 2*q**2\/9 + 57. What is n in k(n) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -869*o**4 + 4 - 32711*o**2 + 16327*o**2 + 16290*o**2 wrt o?\nAnswer: -20856*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1184.2 - -1172.2. Sort f, 3, 14, -0.4 in decreasing order.\nAnswer: 14, 3, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*sqrt(99)*-3 + 4*(-2*sqrt(99) + sqrt(99)))*-4 + 1)**2*-3.\nAnswer: -232875 + 1512*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 96*z + 16. Calculate the remainder when 1271 is divided by x(48).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 213866 + 4?\nAnswer: 213871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1164 and 4236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/15 - -1 - 3. Which is the second smallest value? (a) v (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/12 + 7*i**3\/3 - 2*i**2. What are the prime factors of g(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -113988 and -3.2.\nAnswer: 364761.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 877*p**2 - 2*p - 5*p - 1129*p**2 - 3065*p**2 - 6*p.\nAnswer: -3317*p**2 - 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b**2 + 13*b + b**3 - 2*b - 3*b + 8. Let w be j(8). Solve 3*o - 10 = d, -2*o - 4*d + 8 = -w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.11 and 78504008441.\nAnswer: 78504008442.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/4 + 3\/1 + (-32)\/((-1632)\/255)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7837 is divided by 6619.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 14*j = -1449. Let x(r) = -r**2 - 9*r + 10. Let t be x(-10). Suppose -3*l + t*l = -j. What is the remainder when 88 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/((-228)\/732285) - (3 - (-495)\/(-171)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b + 47*b - 12*b - 14*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -18967287290851\nAnswer: -18967287290850.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(sqrt(704) + -1 - sqrt(704)))**2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 709, -3, 0, 28, 56 in descending order.\nAnswer: 709, 56, 28, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6*y - 222 = 2*y, 3*y - 459 = -4*u. Suppose -8*p + 1933 = u. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3062950340 and -2.\nAnswer: -3062950342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/42*3*30. Let c(i) = -i**2 - 5*i + 153. Let u be c(g). Solve 19 = -p + 5*o - u, 14 = -p + 3*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -0.1 (c) 1 (d) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*k**2 - 121*k**2 + 151*k**2.\nAnswer: 188*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20\/7 in -7\/4, -1\/2, -0.3, -1, 7\/6?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5566 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j. Suppose 5*g - q + 3*q + 3535 = 0, 3*g + q + 2121 = j. Let i = -238 - g. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + 17*r - 30. Let u be ((10\/(-5))\/2)\/(2\/(-26)). Let q be v(u). Let l = 246 + q. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 i when three letters picked without replacement from {i: 4, v: 5, w: 7}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81.1 + 81.3. Which is the fourth biggest value? (a) 0.4 (b) 4 (c) -2\/3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -1.2. Let r = 0.594 + -0.6. Let x = 0.494 - r. Which is the closest to l? (a) x (b) 3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174\/(-29))\/(-2)*(-112)\/(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*(-63)\/(-140).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w - 95 - 152. Calculate the remainder when 49 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2343?\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a century in years?\nAnswer: 190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35439947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -557\/48 - -191\/16. What is the fourth biggest value in 7, -0.1, -7\/3, 4\/3, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 424*o - 428.\nAnswer: 4*(o - 1)*(o + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -15*f**2 - 4*f - 30. Give y(-5).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 271*z = 346*z + 11727, -6*a + 9*z - 11*z - 33 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(-6))*(r\/(r**29*r))\/r*r assuming r is positive.\nAnswer: r**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 509003183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -3*m**2\/2 + 3. Let c be z(-1). What is the third biggest value in 4, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 63885336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 62. Suppose 5*z - 38 = -3*n, r - 7 = 2*n + 2*z. Determine y, given that y**3 - 8*y**5 + n*y**5 - 4*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53158.7 times -239\nAnswer: -12704929.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:35 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (484\/2662)\/((-4)\/(-22)). Solve 5 = 3*l - 5*u, 2*u = -l + 4*u + v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**3 + 2*k**2 - 14*k + 8. Let p(y) = y**3 - y**2 + 5*y - 3. Let s(m) = -17*p(m) - 6*z(m). Let w = -12 - -7. Determine s(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 1. Let w be 4\/(-5) - (-2)\/(-10). Let t be r(w). Let n(h) = -h + 1. Let i be n(-1). Solve -i*p - 8 = -t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -36.6?\nAnswer: -36.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96473\/147890 + 1\/6430. Which is the third smallest value? (a) l (b) -3\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 18*l = 2*j + 13*l + 2, -11*j - 6 = 4*l + 46 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -511.\nAnswer: 51.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25521709 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151954 and 26862.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 120.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9928464 divided by -6819?\nAnswer: -1456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31654491577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from uffuuf?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:20 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.78161 years to decades.\nAnswer: 9.778161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 11:23 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 10.7. Let p = j - -0.3. Let c = 0.544 - p. What is c rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, w: 2, f: 3}. What is prob of picking 2 f and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -12070.79 to the nearest 100.\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002862408 to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -31. Let p(s) = c*s - 5 - 6*s - 2*s. What is the units digit of p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c10 + -2?\nAnswer: 1c0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 863036254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1810 - -4678. What are the prime factors of w?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 + 400 = 128*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49019232?\nAnswer: 2, 3, 510617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 784 and 408.\nAnswer: 39984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.3 (b) -3184 (c) 2\/253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -112, -255, -458, -721?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 187451452?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 3) in base 2?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*d + 18, 0 = 2*o - 0*d + d - 8. Suppose r = -o*r + 20. Let u = 4.2 + -6.2. Which is the closest to -2? (a) u (b) r (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2091 or 13087?\nAnswer: -2091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 286, 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10632 divided by 2658\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 990.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 plus 8.3?\nAnswer: 72.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4727097986.\nAnswer: 2, 13, 271, 51607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 5*y + 250. Let z = 165 - 152. What is the remainder when 4 + -2 + y\/(-2) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from {m: 2, p: 1, b: 2, q: 1, r: 4, h: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 154 + 60 - o + 44.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25922 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(-2 - (-4 - -1)). Sort 0, 2, 5, g in decreasing order.\nAnswer: 5, 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*h + 3*q, 8*h - 14 = 3*h + 2*q. Let y = h + -6. Let r be (y\/(-6))\/(12\/(-9)). Which is smaller: r or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*g - 89*g + 1132 = -144*g - 4640 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 8. Let b = -2.2 - -2. Suppose -o + 8 = 3*o. What is the nearest to -2 in b, o, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26820 divided by 3?\nAnswer: -8940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.744975 to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/4 of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3909?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 16. Let j be l(-19). What is the units digit of 1*-86*j\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 2. Let a be (-21)\/(-1)*(-8)\/12. Let c = 10 + a. Let j be (-1 - -2) + (-2 - c). Determine n(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -10.7, 0, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {y: 4, t: 1, k: 3, w: 1, f: 2, p: 4}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.033001l to millilitres.\nAnswer: 9033.001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 5. Let h(k) = -4*k - 5. Let s(a) = 5*f(a) + 4*h(a). Let b(d) = -2. Let i(o) = 5*b(o) + 2*s(o). Let t be i(-2). Solve t = c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9700\/500 + (1 - 7\/5). Suppose 4*h = -4*r + 168, -3*r - h = -0*r - 118. What is the greatest common divisor of r and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00171777 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - x + 5. Let q(g) = 16*g**2 + 16078*g + 3591210. Let p(y) = -q(y) + 2*s(y). Factor p(t).\nAnswer: -2*(3*t + 1340)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.993 + -22.9759072.\nAnswer: -25.9689072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(304\/16 + -16). Solve 4*z + 4 = -2*a, z - b = 5*a + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*t - t. Let o be (-1 - 3)*(-321)\/428. Sort -3, t, 14, o in descending order.\nAnswer: 14, o, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -367, -549, -731, -913?\nAnswer: -1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 301837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 7:26 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfvvvfvuuuuufvu. Give prob of picking 2 f and 1 n.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -2 (c) -0.0668 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 10) in base 7?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Let h = -333\/2 - -167. Which is the nearest to 5? (a) -5 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 919903, 1839804, 2759705, 3679606, 4599507?\nAnswer: 5519408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/(-2)*2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5 + 118380*c**4 - 1751846424*c**3 + 3503219344*c**2.\nAnswer: -2*c**2*(c - 29594)**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -116424*u**4\/5 + 65234988*u**3 + 126387192*u**2\/5 + 3039568*u + 582816\/5 = 0?\nAnswer: -13\/66, -2\/21, 2802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssxxxssssxssssxs. What is prob of sequence xss?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 18.2. Let n = u + -17.999983. Round n to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73673\/3 - -24556. Put i, -30, -1\/2, -1 in decreasing order.\nAnswer: -1\/2, -1, i, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -164, -380, -796, -1478, -2492?\nAnswer: -3904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 216 = m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 7. Let v(u) = u - 6. Let m be v(g). Let j = m - -3. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, u: 3, j: 2, g: 11}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**6\/6 - 7*q**4\/12 - 511*q**2 - 100*q. What is the derivative of j(t) wrt t?\nAnswer: -20*t**3 - 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-4)\/12\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 659988 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503*y**2 - 586*y**2 + 1086*y**2 + 2*y.\nAnswer: -3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1010, 1983, 2956?\nAnswer: 3929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 13, g: 3}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 403*f**2. Let q(m) = -1063440*m**2. What is q(o(n))?\nAnswer: -172712226960*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 27. Suppose -2*s + 528 = -2*u, x*s - 773 = 3*u + 282. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579620 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: Find the common denominator of -101\/54 and 89\/1838070.\nAnswer: 5514210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -24*i**2 + 46. Let n(x) = 8*x**2 - 16. Let j(h) = 20*n(h) + 6*z(h). What is the first derivative of j(r) wrt r?\nAnswer: 32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -146733452.091991?\nAnswer: 146733446.091991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and -0.4.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) 2 (c) 104503\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2299) + -4 + 0 + sqrt(2299))**2.\nAnswer: -308*sqrt(19) + 9245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145 - 144.9999472. Round v to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 462, 917, 1348, 1743, 2090, 2377, 2592, 2723?\n\"Answer: -2*w**3 + 469*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 3*v - 9*v + 2 + 0*v**2 + v**2. Let g be c(7). Suppose -4*q - 35 = 5*l, -g*q = -4*l + 2*q + 8. Sort l, -2, 1\/4.\nAnswer: l, -2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3.2. Let i = 154 + -155. Let j = 839 - 839. What is the nearest to h in 8, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4978.\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-3*l + 2*l**4 + 3*l) + 0*l**4 - 2*l**4 + l**4 - 45*l**4 + 3058*l - 3058*l.\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from kokttuaoauaukaatota.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2\/o)\/o**(-7\/6)*(o**(2\/9)*o)**7)**(-5\/3) assuming o is positive.\nAnswer: o**(-1055\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*m + 20. Sort 5, -11, m in increasing order.\nAnswer: -11, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.058909711 times 5\nAnswer: 0.294548555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 1. Let t = -3 + 7. Suppose 8 = 2*r - 2, -t*l - 3*r = -27. Determine s(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 - l**5 - 5*l**5 + (-2*l**3 + 0*l**3 + 3*l**3)*(4 - 4 - 2*l**2).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*s = -1211, 4*k + 8*s - 968 = 12*s. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 + 0 + 6*z**2 - 1. Let p(t) = 3*t**2 - 3. Let r(f) = -11*o(f) + 4*p(f). Let u be r(1). Solve 3*j = 5*g + 32, -5*j = 5*g - u*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3\/2 + 1503*u**2\/2 - 2244*u + 1494 = 0 for u.\nAnswer: 1, 2, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -22. Let u = 18 - 6. Solve u = o*p - 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/6 and 16\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 26 + 2 - c + c + 13*c. Let u(d) = 7*d + 14. Let q(g) = 5*u(g) - 2*v(g). Differentiate q(p) wrt p.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 38555.38cm?\nAnswer: 385.5538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104 or 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189\/16 or 13?\nAnswer: 189\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/(((-6)\/10)\/3). Let z = -36 + h. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -3 - (-19 - -6 - -6)) + -18\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*(-145)\/(-203).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1657 - 1657.001301. Round d to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 689565 to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 3*v + 19 = -14*v + a, -7*a + 65 = 6*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 15 - 1 = 4*g, -8 = -2*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148887.\nAnswer: 37, 31051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 108294246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -11 + 8 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20295809 times -3?\nAnswer: -60887427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5414*b = 5369*b + 675 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 12853*b. Let u(o) = -18*o**2 - 18. Determine w(u(n)).\nAnswer: -231354*n**2 - 231354","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 541, 717, 893, 1069?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -326, -0.014, 5\/6 in descending order.\nAnswer: 30, 5\/6, -0.014, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-56)\/(-1260))\/(((-12)\/(-27))\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -16899.2585 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-1)\/(-11)*756\/112. Which is smaller: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-44)*2 - (-1249)\/66 and 31\/19?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 + 4*j - 9. Let n(p) = -29*p + 1. Let r be n(0). Let x(m) = -316*m + 2 + 2 - r + 317*m - 4 - m**2. Give -k(z) + 4*x(z).\nAnswer: z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.705 * -11.7501\nAnswer: 20.0339205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 + -87. Suppose -6*d - 20 = -n*d. Is ((-19145)\/14)\/((-2)\/d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y**2 + 5*y - 152. Let l(m) = 20*m**2 - 11*m + 305. Give -13*g(h) - 6*l(h).\nAnswer: -3*h**2 + h + 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51618 divided by -3.\nAnswer: -17206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 2 - (13 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 69 = -19*i + 34*i - 20*i, 2*p + 27*i + 27 = 0 for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldbpbldblpbbbbbb. Give prob of sequence lld.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 3*c**2 + 2. Let d be l(3). Let f = -47 - -51. Suppose -f*x + q - 17 = -7, -2*x + d*q - 2 = 0. Is x smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 269, 441, 511, 479, 345, 109?\n\"Answer: -51*z**2 + 325*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*s - 507 = 945 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*z = -167*z + 106575. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-54)*126\/(-70) + 1066\/1040. Find h such that -21\/8*h**2 - 1\/2 - 7\/8*h**3 + c*h**4 + 3\/8*h**5 - 2*h = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -64. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 4*l**2 - l**2)*(0 + 5 - 3) + (l + 0 + 0)*(4*l + 0*l - 2*l) + 5*l**2 - 13*l**2 - 3*l**2.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 64200363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**5\/5 - 8*l**4 - 34*l**3\/3 - l**2 + 81. Find the third derivative of b(a) wrt a.\nAnswer: 24*a - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 42201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 68.9 * -0.5\nAnswer: -34.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/120 + n**5\/6 - 3*n**4\/8 + 5*n**3\/6 - 3*n**2. Let w be o(9). Solve -3*z - 10 = w*t, 2*t - 12 = -4*z - 30 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:23 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 56*i - 14. Let z be k(-56). Let m(d) = d**2 + 17*d - 47. Give m(z).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 139204*m - 2506968.\nAnswer: 4*(m - 18)*(m + 34819)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -29*s**3 - s**2 + 1. Let x be d(-1). Suppose 7*c - 6 = x. Suppose 4 + 16 = c*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32952 + -33851. Which is bigger: r or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/11, -68 in decreasing order.\nAnswer: -2\/11, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2304 = -2*x + 74*c, -249*x - 2*c - 99 = -494*x + 240*x - 6*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 2, u: 5, z: 3, k: 3}. Give prob of sequence ukvk.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1357866 centimeters to micrometers.\nAnswer: 1357.866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2156945 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most -7846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1293, 1211, 1129, 1047, 965, 883?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a**2 + 7*a + 2. What is j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -498 - -1882. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:45 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2 + (-3 - (-225)\/2). Let o = 336 - m. Suppose 0 = -26*f + 29*f - o. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0.1, -41, -3, 32?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (129504\/3408)\/((2\/5)\/(3\/5))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l + 5*l + 3*l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -7. Let t be 24\/108 + 1\/(-45). Factor 1\/5*g + 2\/5*g**2 + 1\/5*g**x - t - 2\/5*g**3 - 1\/5*g**4.\nAnswer: (g - 1)**3*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30875743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 221563886.\nAnswer: 221563893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077837 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7345097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35197698\/2093389441 - 2\/1100047. Calculate the common denominator of s and -23\/865.\nAnswer: 9515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -1 + 2\/3*v**3 + 0*v - 1\/2*v**2. What is the second derivative of b(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*x + 14 = w, 0 = 4*x + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -224, -1524, -5044, -11894, -23184?\n\"Answer: -185*n**3 - 5*n - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003032 rounded to six decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1, -4, -1, -108, 83 in ascending order.\nAnswer: -108, -4, -2, -1, 1, 3, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(88)\/(sqrt(11)*-3 + sqrt(11))))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -49. Solve 0 = m*p - 2*t - 2*t - 22, 5*p - 3*t = 34 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19893749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -368.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {a: 3, w: 1, g: 6, t: 6, u: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6025?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(2 - 5*m - 2) - m - 2*m - 2*m + (-2*m + m + 0*m)*(2 + 0 - 1) to the form n*m + z and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**2*t**2 - 6104*r**2*t - 2*r*t + r + 3*t**5 + 237*t**3 - 1 wrt t.\nAnswer: 6*r**2 + 60*t**3 + 1422*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10435 or 11164?\nAnswer: 10435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52717294667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.188 or 0.167?\nAnswer: -2.188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*z - 2. Suppose 17 = 5*r + z. Suppose 2*k - 2*w + 42 = 4*k, r*w + 119 = 4*k. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -29.3. Let h = 4.3 + d. Sort 2\/35, h, 5 in decreasing order.\nAnswer: 5, h, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**6\/120 + 2*u**5\/5 + 11*u**4\/12 - 7*u**3\/3 - 17*u**2. Let c be g(-23). What is the greatest common factor of 12 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54a82 - -61?\nAnswer: 54b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54394300 not equal to 54394300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 7*h**2 - 6*h - 7. Let o be (4\/(-2))\/(2\/(-5)). What is the remainder when g(o) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*k**3 - 100*k**2 + 285.\nAnswer: -18*k**2 - 200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92959706 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (1 - 1156545\/(-66)). Let f = i - -17530. Let c = -5237\/2 + 2668. Find the common denominator of f and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0159001038 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -12, -35 = -i + 2*k - 8. Suppose -151 = -4*z - i. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4563 + -17313?\nAnswer: -1b876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5662999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 4*v**2 - 2*v - 4. Let h be y(-3). Suppose -2*m + 5*m = 15. Suppose -h + 5 = -5*q + g, m*g - 15 = -5*q. Solve -q*x + 4 - 19 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)\/(i*i\/(i**(-2\/21)\/i)*i)*i\/(i**(2\/5)\/i*i)*i*i**1*i assuming i is positive.\nAnswer: i**(-577\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, f: 5, z: 1, j: 3}. What is prob of picking 3 f and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*u + 31, 3*j - 6*u + 25 = -u. Suppose 3*t - 4*t + 10 = 0. What is the remainder when t is divided by ((-10)\/j)\/(3\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 1833 = -2927. List the prime factors of z.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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 z(t) = 926*t + 2982. What are the prime factors of z(7)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 o when three letters picked without replacement from {u: 2, o: 4, m: 2, y: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6657589 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -520 + 519. Is 2\/(k\/((-26932)\/8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3444 and 3756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9782886 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111111111101000 (base 2) in base 13?\nAnswer: -23a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b69 (base 16) in base 13?\nAnswer: -13324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-60)*(-63)\/(-42)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n - 1164*n**2 - 12*n + 219*n**2.\nAnswer: -945*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509 = -34*b + 399 - 92 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 10*w + 91. Let a be x(-16). Suppose 1 = s - 2. Sort a, 2, -13, s.\nAnswer: -13, a, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Let c be w*(3\/(-5))\/(-1). Let a = 0.1 + 0.4. What is the third smallest value in a, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 2*h + 2. Let b be g(-3). Suppose -8 = -2*r - 42. Let c = b + r. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 361 and 3334196.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 21*f - 176 = 0. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 211*i - 2. Let z(p) = 3. Determine l(b) + 2*z(b).\nAnswer: 4*b**2 - 211*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x - 66. Calculate c(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let x = -102 + 102.1. Let g = -6 + 1. Which is the closest to h? (a) -4 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s = -8*s. Suppose s = -2*t - 703 + 387. Is 1 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -65) + 0 - (21 - (0 + -4) - 35)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36906, 36901, 36896, 36891, 36886, 36881?\nAnswer: 36876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-2)\/(-2))\/(4\/(-308)). Let q = a - -296. List the prime factors of q.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14))**(-14) assuming a is positive.\nAnswer: a**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193 + -194. Let s be q\/(-4 + 35\/(-14)). Put s, -0.3, 1\/2 in descending order.\nAnswer: 1\/2, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 11:22 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85908.\nAnswer: 2, 3, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c**2 - c - 3. Let l(y) = y**3 + 9*y**2 + 15*y + 10. Let w(b) = b**2 + 12*b + 20. Let i be w(-9). Let p be l(i). What is h(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91809 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10080 and 2874840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 14*o - 711. Give r(49).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0299212409 rounded to three decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*x = y + 423, -4*x = -5*y + 687. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6.5. Suppose 0 = -2*p - 3*h + 8, -5*p - 2*h + 20 = -h. Suppose 0*l + 8 = p*l. Which is the nearest to l? (a) 5 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(245) + 1 + sqrt(245) + 2*(sqrt(245) + -2 + sqrt(245)) + sqrt(245) - 5*(sqrt(245) - (-2 + sqrt(245) + -2)))*-1*-1)**2.\nAnswer: -1610*sqrt(5) + 6654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + (-4*(0 + sqrt(567)))**2)*-2 + 1 - (3 + -2*sqrt(567) + 2 + -2).\nAnswer: -18146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50492 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 337, 352, 383, 436, 517, 632, 787, 988?\n\"Answer: p**3 + 2*p**2 + 2*p + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 3*h - 19 + (2 - 1 - 4)*(-2*h + 0 + 0) + 6 - h - 6 + (-2*h + 3*h - 3*h)*(5 - 4 - 2) in the form i + r*h and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2183 divided by -2.\nAnswer: -2183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 991, -133273 in decreasing order.\nAnswer: 991, -1\/5, -133273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8685, 8686, 8687, 8688, 8689?\nAnswer: 8690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*x + 2945 - 2561 = 8714 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - i - 68 + 4*i - 4*i.\nAnswer: -i - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15695373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(6 - 3) + (3 - -1). Suppose k = v - 90 - 70. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -954\/271 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/19)\/a**20)\/(a**(1\/9))**(-9\/5) assuming a is positive.\nAnswer: a**(-1851\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**2 + 10 + 0*y + 7*y + y**2.\nAnswer: (y + 2)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from wwt.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3880*y - 3883*y - 3 + 3.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -15*p + 17. Let o be b(-4). Suppose g + o = 8*g. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12171, 24343, 36493, 48609, 60679?\n\"Answer: -2*x**3 + x**2 + 12183*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1229*v + v**2 - 9*v**2 + 3*v**2 - 3176*v in the form j*v + g + i*v**2 and give j.\nAnswer: -1947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 68*l - 254. Let h be m(4). List the prime factors of (1137\/2 + 3)*h.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Suppose q*v - 12 = -4*v. Calculate the highest common factor of 2 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 greater than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + 8\/(-1))\/(2\/8). Let k(f) = 2*f**3 + 18*f**2 + 17*f + 12. Let j be k(n). Solve 0 = -4*y - h + j*h + 22, 0 = -3*y - 5*h + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 370 and 220?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (3 - 6))*-2. Suppose 3*g + 2*l - 5 = -1, 0 = 3*g - 5*l + i. Sort g, 3, -4 in ascending order.\nAnswer: -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 9*b - 12. Let n be g(8). Let p(u) = -u**2 - 5*u - 1. Let v be p(n). Find the first derivative of -3*r**v + 5 - 3*r**3 - 7 - 4 wrt r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -138, -348 in ascending order.\nAnswer: -348, -138, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 - (-9 - 9 - -11 - -63)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 4:38 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ce (base 16) in base 3?\nAnswer: 21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5443*s**4 + 6179?\nAnswer: 21772*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/2 - (1 - 13). Let o = -1 + r. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00031733 to 5 dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799*i - 784*i = 180 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3784, -7601, -11450, -15331, -19244?\n\"Answer: -16*q**2 - 3769*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**(-7\/5)\/((y*(y**0\/y*y*y)\/y)\/(y\/((y**(-2)*y)\/y)))*((y\/y**(-2\/5)*y*y)**(-42))**(-4\/3) assuming y is positive.\nAnswer: y**(2879\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 4*b = -40568. Suppose -16*g - 719 = -b. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166548515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + sqrt(768)*2*-5)\/(-5*(sqrt(64) - (sqrt(64) - sqrt(64)*3)) - sqrt(64) - sqrt(64)).\nAnswer: 18*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**4\/2 + 8*t**3\/9 + 5*t**2\/3 - 4*t\/3 + 20. Factor w(q).\nAnswer: -2*(q - 2)*(q + 1)*(3*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 2*z)*(2 + 0 - 3)*(-2*z**2 + 4*z**2 + 0*z**2 + (16*z + 12*z - 29*z)*(2*z + 3*z + z)).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 70 = 2*d. Solve b - z = 2*b, -2*z = -3*b + d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 57*h - 26. Let a be n(-28). Let q(c) = -65*c**2 + 130*c**2 - 71*c**a. Let s(k) be the third derivative of k**5\/30 + k**2. Give s(q(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8) - (sqrt(8) + 1*(sqrt(968) - sqrt(8)))))**2.\nAnswer: 13\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 16*d + 2. Let p be y(-19). Let q(s) = -9*s**2 + s**3 - p + 2*s + 430 - 3*s. Give q(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*d**2 - 2*b**2*d - 1971*b**2 + 73*b*d + 3*d**2 wrt d?\nAnswer: 2*b**2*d - 2*b**2 + 73*b + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*z, -2*d + 52*z - 1 = 55*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2, 0 = 4*l + x - 18 - 25. Solve 4*f - 3*k = 9, -2*k + l = 4*f - 3*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 75, -2, 0, -51 in descending order.\nAnswer: 75, 3, 1, 0, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) 1\/3642 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 372205358*k + 372205375*k - 744410733*k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 6*v - 3*v)*(4*v + 3*v - 5*v) + (-2*v - 1 + 1)*(0*v - v + 0*v) + 2*v - 2*v - v**2 + 0 - 4*v**2 + 0.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -31*q**2 - 8284*q + 6433. Calculate r(-268).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 947075 and 14405?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2948, -2947, -2946, -2945, -2944?\nAnswer: -2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5*(sqrt(136) - (sqrt(136) - (sqrt(136) + 1*sqrt(136)) - sqrt(136))))\/((2*sqrt(16))\/sqrt(2)))**2.\nAnswer: 3825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/4 - 2*y**3 + 5*y**2\/2 - y - 300. Calculate i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328591 a multiple of 1238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 168*l*y**2 - l*y + 20*l + 9*y**2 - 7*y - 53366 wrt y.\nAnswer: 336*l*y - l + 18*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*w = 15, 5*w + 5 = 2*r + 3*r. Suppose 142 = r*q - 134. What is the remainder when 87 is divided by q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 388370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 12*k**2 + 2*k + 1. What is h(-12)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236464620.\nAnswer: 2, 3, 5, 7, 563011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (2 - 6) - 1) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42642867 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let c(k) = -8971792*k. Determine h(c(z)).\nAnswer: -8971792*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(((-1872)\/2268)\/52).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0552805 to 2 decimal places.\nAnswer: -2.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001392703 to 5 dps.\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -24 + (-30)\/(-26)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1355581, 1355582, 1355583?\n\"Answer: m + 1355580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 6:45 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 9. What is u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 0*w**2 - 7 - 4*w**3 - 3*w**3 + 5*w + 6*w**3 - 5*w**2. Let x be r(-6). Let d be 1\/(-2) - (-1)\/2. Is d at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from naz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.504827 milligrams to nanograms.\nAnswer: 5504827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*205\/(-30)*-117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334, 320, 306, 292, 278?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1077, 2, 5 in decreasing order.\nAnswer: 5, 2, 0, -1077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 2*h**2 + 0*h**2 - h**2 + h - h + (-3*h + 2*h**2 + 3*h)*(1 + 2 - 1) - 10*h**2 - 11*h**2 + 5*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**3*u*u*u**(-7))\/(u\/(u**(-1\/3)\/u))**(-42) assuming u is positive.\nAnswer: u**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6093?\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*s - 35*s + h + 4, -6 = 3*s - 3*h. Suppose 2*c = s*p + 736, -393 = -c - 0*c - 4*p. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 167 - 2. What are the prime factors of o?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-4 + 3))\/3. Let k = 0.4 + -0.3. Suppose 0 = -2*j - 4*g - 14, -3 = 4*g - g. Which is the nearest to l? (a) k (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2294853041315 and 3.\nAnswer: -2294853041312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -4*z + 89. Let w = 44.4 - -0.6. Let t = -49 + w. Sort t, z, -0.5, -3 in descending order.\nAnswer: z, -0.5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11294.77 - -11295. Which is the closest to z? (a) 0.1 (b) -1.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32924987 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -20 - -8 - (-2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -49.5, 2\/17, -0.03, -3?\nAnswer: -49.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 417 = 4*f, 11*x - 16*x + 2016 = -3*f. Suppose 10*d + x = 37*d. Calculate the remainder when 627 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 12*k - 9. Suppose -2*l - 29 = -5*l + y, 9 = -l + 5*y. Let m be s(l). Suppose m*p + 890 = 4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.036 to zero decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 w, and 1 v when three letters picked without replacement from {v: 1, s: 2, c: 2, w: 2, u: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131155 (base 6) in base 11?\nAnswer: 8a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162205345 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1275 - -6398\/5. Find the common denominator of i and (1 - (-3 - -5)) + 8\/18.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165810 rounded to the nearest 1000?\nAnswer: 166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*sqrt(50)*-1 + -2*sqrt(80)\/(sqrt(90) - sqrt(10)).\nAnswer: -5 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 13*q - 130. What is h(-8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/25*(-5)\/(-2). Let r be (6\/9)\/(f\/6). Let v be r\/(-6 + 3 + 4). What is the closest to 2 in -1\/4, -4\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -949 = -947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, m: 5}. Give prob of sequence mwww.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6109 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 232 = -15*p + 233, 0 = -761*b + 755*b + p - 3*p + 86 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4774146 to the power of 1\/2, to the nearest integer?\nAnswer: 2185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -541, -1104, -1691, -2302?\n\"Answer: -12*k**2 - 527*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v**3 - 32*v**2 + 9*v + 21. Let h(n) = 7*n**3 - 21*n**2 + 6*n + 14. Let o(b) = 8*h(b) - 5*k(b). Let w be o(7). Let y = 46 + w. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*z - 69 + 71 + 15*z**2 + 0*z - 41*z**2 - 9*z**2 to i + x*z + o*z**2 and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, 0, 2 in ascending order.\nAnswer: -130, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3324, -6471, -9444, -12231, -14820, -17199, -19356?\n\"Answer: 2*o**3 + 75*o**2 - 3386*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -215*g**2 + g - 254?\nAnswer: -430*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 2*n - 17 + 12, -2*x = 4*n + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + 13 - (-53 - (24 + -9))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = i - 26. Suppose -i = -5*p + 2. Solve -5*w + p = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000110101010110 - -1101100?\nAnswer: 1000000110111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*g = -1 - 4, -5*g + 1 = -3*r. Suppose 0 = -r*w - 3*w + 342. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 + 2*p**3 + 0*p**3 - 199 + p**2 - 198 to the form h*p**2 + t + g*p**3 + x*p and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5219 - -5219.0158. Let t = -8 - -8.03. Let c = t - q. Round c to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 299.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2124136 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f + 10 = 0. Suppose -c + 3*u = 2*c - 6, 3*c + u - 14 = 0. Calculate the remainder when (c\/6)\/((-1)\/(-21)) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979888 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10) - (-176)\/(-110))\/4. What is the nearest to j in -4, -3, -11\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43496932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 0*b = -276. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzttzffnffzfz. What is prob of sequence ff?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7647388 and 15368.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + b = 2, g - 4*g - 14 = -5*b. Let a(h) = -h**3 + 4*h**2 - 3*h. Let o be a(2). Find the second derivative of -4*q - q + 0*q**o + 3*q + q**g wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 193.471 and -9.\nAnswer: -1741.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 8*n - 9. Let c be y(-9). Suppose -4*p - 92 = -c*p. Let w = 16 - 39. Is p >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1620433.2 months to decades.\nAnswer: 13503.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 92 = 244. Let q = 61 + b. Suppose h - 2703 = -d, 3*h + 13468 = q*d - 79. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140003640 and 192505005?\nAnswer: 1540040040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5934911971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((15\/(-2))\/5). Let w = k - 12. Let o be (-5)\/(-15) - (-20)\/w. Sort 1, -4, o in decreasing order.\nAnswer: 1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*s + 8. Suppose 2*u + 5*q - 7 = 0, s*q - 5 - 14 = -4*u. List the prime factors of (-70 - 2)*(16\/u + -4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 f when four letters picked without replacement from fdfdfdf.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*c**2 - 47658*c**2 - 208724*c**2 + 15092*c**2.\nAnswer: -241825*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756 - 5176 = 20*v. Let q = 227 + v. Calculate the highest common divisor of q and 120.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438251183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-13\/3)*n**(-1\/17)*n**10\/n*n\/((n\/(n**6\/n)*n*n)\/n))**18 assuming n is positive.\nAnswer: n**(2940\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/4))**(4\/11)\/((w\/(w*(w**(8\/5)\/w)\/w*w*w))\/(w\/w**1)) assuming w is positive.\nAnswer: w**(73\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003254 rounded to 6 dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 17 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 44*k**2 - 673*k - 32. Determine x(-56).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -7*v**4\/4 + v**3 - 3*v + 1. Let p(q) = -11*q**3 + 5*q**2 - 5. Determine 8*l(n) - 5*p(n).\nAnswer: -n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*d - 12 + 5 = 0, -4*x - 3*d + 18 = 0. Which is the third smallest value? (a) x (b) -60 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36681.56 - -6.\nAnswer: -36675.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 + 4*i + 3. Let n be z(-4). Suppose -3*f + n = -4. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331)*5 + 2 - (sqrt(1331)*1*3)**2 - ((sqrt(1331)*1 + 2 - sqrt(1331)*-1*-4)*-3)**2.\nAnswer: -119824 + 1243*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + f**2 - 1. Let o(v) = 28*v**3 + 3*v**2 - 2. Calculate o(d) - 2*u(d).\nAnswer: 26*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {g: 9, w: 2, z: 2, u: 3, c: 1}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49, 547, 1943, 4687, 9229?\n\"Answer: 75*d**3 - d**2 - 24*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3118 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40 + -40 - 22\/(-2). Let c be (s + -11)\/(2 + 2 + -2). Which is smaller: 2\/67 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**7\/14 - 2*a**6\/3 - a**4\/3 + 7*a**3\/6 + 2*a + 42. Find the third derivative of t(k) wrt k.\nAnswer: -180*k**2 - 480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1166\/1911?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 232004?\nAnswer: -232008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 360 = 9*l + 50*n, 4*l - 5*n = 43 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35338?\nAnswer: 2, 17669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 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: Suppose -2*q + 0*q = -44. Suppose 4 = 2*p, z + 2*p - q = 4*z. Calculate the common denominator of ((-24)\/(-16))\/(2\/z) and -41\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.177 + 0.077. What is the third smallest value in -2\/5, b, -2.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/4 + 48\/(-32). Put s, -1, -3 in ascending order.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24066 by 2.\nAnswer: 12033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93176 and 931000?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -8, 2\/11, -5, 0.5, -0.5, -2852?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-3)\/6)*2. Suppose 2*w = j*w - 12. Suppose 2*p + 4*n = 1386, w*p - 423 = -3*n + 2369. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*i + 3*w, 5*i = 3*w + 43 - 33. Suppose 0 = 5*d - 6 + 21, -4*p - i*d = -6. Solve 0*o**p - 2\/7*o**2 - 1\/7*o**5 + 2\/7*o**4 + 1\/7*o + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 77*m**2. Let x(y) = -15554*y**2. Give f(x(a)).\nAnswer: 18628372532*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -478*k - 5. Let a(h) = 719*h + 8. Determine -5*a(m) - 8*x(m).\nAnswer: 229*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from nnnttttttnntnnnn.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-384)\/128*(-4)\/(-150))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 2*r**5\/15 + 27*r**2. Let h(x) = -5*x. Let b(w) = -4*w. Let j(z) = -6*b(z) + 5*h(z). Calculate a(j(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/4 + 0 + (-879)\/(-12). Let v be l + (5 + -3 - 4). What is the highest common divisor of v and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.8 + -9. Let l = -6.2 - y. Let s = -4 - l. Which is the second smallest value? (a) s (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226122236?\nAnswer: 2, 17, 3325327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658 + 277 - 414 = 55*i - 1019 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) - (3 + sqrt(1088) + -2)**2 - (sqrt(1088) + sqrt(1088) + 0 + 2).\nAnswer: -1091 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121011222022 - 11101?\nAnswer: -121012010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 5*a + 2. Let x be q(3). Let p = 6 + x. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4678189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3544 and 44018252.\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 127*d**2 + 2*d**3 + 319*d**2 + 168*d**2.\nAnswer: d**3 + 360*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 7*v + 22. What is u(12)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/24885 and 109\/110600?\nAnswer: 995400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -397.\nAnswer: -2\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 8*c**2 + 15*c + 6. Let h be w(5). Let i be 1\/((45\/h)\/15). Solve -i*q = 1 - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = -15*s - 24 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2984*k**2 + 248. Let j(b) = -b. Give s(j(u)).\nAnswer: -2984*u**2 + 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 219 and 1265601?\nAnswer: 1265601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1.46, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 929.29684 take away 0.1?\nAnswer: 929.19684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/1 - (2 + 37). Let n = y + 43. Suppose -n*b = -4*a - 3*b, 3*a = -b + 16. Solve 0 = -t + 3*l + 12, 4*t + a*l - 2 + 34 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-5))**(3\/14)*(c**(-19)\/c)**(-3\/28) assuming c is positive.\nAnswer: c**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/3, -1.4601116, 1\/9, 2\/5, -1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -4, -7, -1\/2, 0.28, 0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2)*z*z*(z*z**(-3\/8)\/z)\/z)**(22\/9) assuming z is positive.\nAnswer: z**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 55 - 170 = 0. What is the remainder when 91 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1054671502 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 11}. What is prob of sequence vtv?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 2*g**2. Let x be l(2). Let f = x + 9. Solve 5*s - f = z, z + 13 = 4*s - 0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, f: 8}. Give prob of sequence vv.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 m, and 1 f when three letters picked without replacement from dxdiqxfmqidqqf.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 24.5. Let v = b - 0.3. Sort 1\/4, -2, v in decreasing order.\nAnswer: 1\/4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6067 + -5468. What is the remainder when n is divided by 125?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -178*p + 442 + 270. Which is the second smallest value? (a) p (b) -2\/5 (c) 355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*i + 2*u - 7, 4*u + 18 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 2*k - k**3)*(2*k - 3*k - k) + (-k**3 + k**3 + k**3)*(7*k - 14*k - 20*k) in the form m*k**4 + w*k**2 + o*k + x*k**3 + z and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16 + -4 + -2 + 4. Let m = w - 8. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236016 a multiple of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37204 divided by 84.\nAnswer: -9301\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c + 9*c - 9*c + (8 + 5 + 23)*(-c - 2*c + 4*c) as z*c + v and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.0451176 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2*r**2 + 2*r**2)*(0*r + r - 4*r)*(-4*r**2 + 3*r**2 - 9*r**2).\nAnswer: 60*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 71645.11t?\nAnswer: 71645110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133821 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. Suppose c = -2*l + a - 3, 9*l - 4*l + 5*a - 15 = 0. Solve l*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 4635 = 13*b + 5*q, -3*b + 3*q = -6921. Round b to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 2*m + 2. Let b(j) = -948*j - 9. Let s(c) = 345*c + 3. Let n(v) = 4*b(v) + 11*s(v). Let h be 4 - (3 + -1 + -1). Calculate h*a(l) + 2*n(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10723.2076 - -2344.\nAnswer: 13067.2076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 5013801*f**2 - 15041376*f.\nAnswer: -3*f*(f - 1671264)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11073329 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457 = -27*v + 511 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*l**6 - 109*l**2?\nAnswer: 1800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 l when four letters picked without replacement from {g: 2, l: 6, d: 9}.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1328)\/39*(-6)\/34. Let j = -110\/17 + b. Let u(y) = 2*y**3 - 5*y**2 - 10*y - 4. Let g be u(-1). Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*u - 15, -3*z = -z + 5*u + 15. Suppose z*y = -3*y + 21. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45013, -45096, -45179, -45262, -45345?\n\"Answer: -83*z - 44930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Let f be (0 + 0)*(-1)\/(-2). Sort -6, f, m in descending order.\nAnswer: m, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*f + 32*f = -37*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/(6\/72). Let r(m) = -m**2 - 5*m + 1. Determine r(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s**(-1\/10)*s)*s)\/s**(-4))\/(s**0*s*s)**(-4\/11))\/(s\/s**0*s**(-5)*s**7*s*s**(-5)) assuming s is positive.\nAnswer: s**(861\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1909, 8058, 18307, 32656, 51105, 73654?\n\"Answer: 2050*n**2 - n - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + -6)\/(-1 - 1) - 0. Suppose k = -22*q - 15*q + 26936. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3377*w**3 + 289*w**2 - 773*w**3 - 289*w**2.\nAnswer: -4150*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 8*x + 3. Let w(n) = 2*n + 6. Let u be w(-6). Calculate the remainder when (-57)\/(-2) + 1\/2 is divided by l(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 4 - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -35. Let f = g - 17. Let b = f + 3.000048. Round b to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 5*c**2 - 5*c - 2. Give p(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 6:55 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31093151\/30765 + 3\/10255. Let d = 1011 - k. Factor -d*g - 2\/3 + 1\/3*g**2.\nAnswer: (g - 2)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -1. Let l(t) = t + 6. Let d(b) = 2*b + 11. Suppose -5*q + 37 - 2 = 0. Let g(n) = q*l(n) - 4*d(n). Calculate g(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52350 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i - 10. Let o(h) = -2*h - 16. Let y be o(-9). Let z be d(y). Solve z = -2*a + 2 - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*u + 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17552, 17553, 17554, 17555, 17556?\nAnswer: 17557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-99123)\/(-235) + (-48)\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**7\/210 + 641*o**6\/15 + o**5\/12 + 779*o**3\/6 - 26*o**2 - 7*o - 1. What is the third derivative of q(l) wrt l?\nAnswer: -24*l + 30768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 - -0.27. Which is the second biggest value? (a) -4\/19 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 15*g + 24 = -5*q, -24 = 4*g + 2*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 12921 + 11127. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38931*a**3*c*j + 80220*a**3*c + 2*a*c*j wrt j.\nAnswer: -38931*a**3*c + 2*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 16. Suppose -5*y + c = -18, -5*y = -2*y + 3*c. Suppose a = p + 2*p + 4, y*a + 4*p = -40. What is the units digit of m(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16182576 - -0.16143. Round g to 5 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*t**3)*(-52*t**2 - 28*t**2 + 236*t**2) - 2*t**5 + 4*t**5 + 3*t**5.\nAnswer: -307*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1443876?\nAnswer: 2, 3, 7, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12224 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2 - 11*a - 4. Let l be (2*3\/24)\/(3\/24). Let d(i) = 4*i**2 - 13*i - 1 - 1 + 8*i - 6*i**l. Determine -5*d(s) + 2*u(s).\nAnswer: 2*s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328 is divided by 660.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a = -3*a. Suppose a = -4*x + 2*n - 10, -x + 5*x = -4*n - 4. Let y = 43 - x. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -288*q + 289*q. Differentiate -22*v**2 - q*v**2 + 37 + 95*v**2 with respect to v.\nAnswer: 100*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721275451 a multiple of 3099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 1. Let x(l) = 14*l**2 - 10. Let i(f) = 10*p(f) - x(f). Let u(b) = -156*b**2 - 148*b**2 + 445*b**2 - 147*b**2. What is u(i(g))?\nAnswer: -96*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -4 (b) 1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.5 * 0.908.\nAnswer: 4.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1145*y - 328*y - 375*y - 362*y.\nAnswer: 80*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20511273 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5*(-98)\/(5194\/(-795)). Put -4, 325, f in decreasing order.\nAnswer: 325, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+163388191\nAnswer: 163388191.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10675*a**2 - 21345*a + 16. Determine l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = d - 21. Factor -1 - 2*u**5 + 1 - d*u**3 + 33*u**3.\nAnswer: -2*u**3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 268684, 537371, 806058, 1074745, 1343432, 1612119?\n\"Answer: 268687*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: (-16 - -5) + (-26 - -47)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4789 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1. Let o(g) = 13*g**3 - 22*g**2 - 3. Let i(q) = -3*f(q) + o(q). What is the third derivative of i(h) wrt h?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbfwwblpffgg. Give prob of sequence fgp.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-231 - -247) + (-9 - 0) + 2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -154*v**6 - 842*v**2 - 880*v**6 + 965*v**5 - 965*v**5 wrt v?\nAnswer: -124080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-2 - 3) + 18 + -23\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 divided by -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/48 - 361\/114. Which is the second biggest value? (a) r (b) 3\/263 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (9 - 23) + 11 - 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.038, -2, -1?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436 plus 1501.87031194?\nAnswer: 4937.87031194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 29600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a millennium in centuries?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4*(85\/(-5) - -21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (3 + sqrt(80)*-2)) + 3.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -382*c**3 + 378?\nAnswer: -1146*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - d. Let x(a) = 2*a - 5. Let j be x(4). Do d and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587 = -3799*p + 124534 + 62204 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 300789*t + 364641?\nAnswer: 300789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 21*y**2 - 6*y + 113. Let p be d(20). Solve 31*w - p = -424 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12566 + -12565.9999902164. Round p to 7 decimal places.\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 169 (b) -2 (c) 2\/39 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + 5*(-5 + (sqrt(162) - -1*sqrt(162) - sqrt(162)) + 2 + sqrt(162)))*4)**2.\nAnswer: -1152000*sqrt(2) + 6582400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15361, 12206, 9051, 5896, 2741?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/87 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344 and 276662.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42140 (base 16) to base 2\nAnswer: -1000010000101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - p**2 + 1. Let x(r) = 4*r**3 + 4*r**2 - 11. Let v(t) = -4*j(t) - x(t). Differentiate v(y) with respect to y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9636239, -9636243, -9636247, -9636251, -9636255?\nAnswer: -9636259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + 9)*(-2)\/(-4). Suppose -26 = -3*x - d. Let l be (73125\/52)\/(x\/20480). What is l rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 381.873 + -138.911. Let j = s - 243. Round j to 3 decimal places.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.4 - -1.6. What is the closest to -2 in -0.4, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/5, -2\/13, 9194, 19?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8*o - 3*o**2 + o**2 + 19*o - 5 - 66. Let a be f(9). Solve a*r - 7*r + 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 + 0.5. Let s = 92 - 1198\/13. What is the third biggest value in s, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + o + 54 = 159, o - 84 = 4*x. List the prime factors of (-11080)\/(-7) + x\/(-147).\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-25)*36\/((-120528)\/36)?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -5*i - x - 12, 2*i + x = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*c**3\/5 + 69*c**2\/5 - 198*c\/5 + 136\/5 = 0. Calculate c.\nAnswer: 1, 4, 34\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 8 - 3*n**2 + n. Let j(f) be the second derivative of -f**4\/6 + 7*f**2\/2 + 352*f + 2. What is 3*i(r) - 4*j(r)?\nAnswer: -r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**3\/6 + 99*s**2\/2 + s + 44. Is l(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 13*w**2 - 52*w - 14. Calculate t(-16).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*r - 58*r + 9*r to s + t*r and give t.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5\/5 + 4*g**4\/5 - 34*g**3\/5 - 4*g**2\/5 + 21*g + 72\/5 = 0.\nAnswer: -8, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -16?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -541\/5 + 108. What is the smallest value in -23, v, 2\/3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*a - 6*a + 40 = 0, 0 = 4*a. Let d be -4*(2 + (-18)\/8). Let f = t + d. What is the remainder when 104 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 3. Let x(v) = 637*v - 11. Determine 4*n(h) - x(h).\nAnswer: -641*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9701 and 6.276015.\nAnswer: -9694.723985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 - 39*n**2 + 21*n - 8. Calculate f(19).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 542081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1022730 + -2?\nAnswer: 1022726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 268559 at least as big as 268558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 + -59.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 893 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1024155 = 3*d + 167834, -3*d + 6 = 0. Suppose 42935 - i = 5*t - s, 2*t + 3*s = -51338. Let k be (-2 - 0) + t*3. Round k to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 6*c - 20*c. Suppose 18 = -3*b + 3*k, -c*k + 2 = -2*b - 16. What is the remainder when 8\/(24\/(-261))*2\/b is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.089796 smaller than 200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p*(p*(p\/p**(27\/5))\/p)\/p)))\/p)**(-34) assuming p is positive.\nAnswer: p**(1088\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 415 - 331 = -3*l, l + a - 250 = 0. What is the remainder when l is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azw when three letters picked without replacement from wamhraz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 + (-6 - -1 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 748*q**2*v + 117353*q**2 + 16*q*v**2 + 13*q + 103*v**2 - 3 wrt v.\nAnswer: 748*q**2 + 32*q*v + 206*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 3*b + 8. Let x be q(-5). Let a be (40\/(-9))\/(x\/(-3))*-6. Calculate the greatest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 57 = 3*w. Let z = -49 - -14. Let a be -3 + (-11260)\/z - (-4)\/14. What is the highest common factor of a and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1 + -2) - (22 + -33 + 20)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40584008 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1. Let p(w) = -6*w + 13. Let z(q) = 5*i(q) - p(q). Let x be z(8). Suppose 4*v - 8 - x = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300751544?\nAnswer: 2, 37593943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**3 - z**2 - z + 1. Let g = 100 + -99. Let x be j(g). Which is bigger: 0.06 or x?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 14. Let w = l - -9. Let z = -0.04 + 0.04. Put z, w, 8\/3 in descending order.\nAnswer: w, 8\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1336687469 + -4?\nAnswer: -1336687473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.427 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 11:44 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -84?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 14*k + 142. Let y be b(7). Calculate the remainder when 227 is divided by 360\/10 + 2 + y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 12 + -14 + 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4677000 rounded to the nearest one hundred thousand?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 - 9*w**2 - 108*w - 432.\nAnswer: -(w + 12)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 3*x**5\/10 - 5*x**3\/6 - 23*x**2. What is the first derivative of u(p) wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/56 and -3\/7000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0672 - 3.2772. Let w = 0.51 + j. Round w to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5198049 - 5198049 + 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.25 (b) -0.3 (c) 48 (d) 0.06 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 731 (base 8) to base 3\nAnswer: 122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001574 rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279 by -11312.\nAnswer: -279\/11312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 387182*j**2 + j - 12448300 wrt j.\nAnswer: 774364*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44203.\nAnswer: 44203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5.156+-1\nAnswer: -6.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 116, 4, -0.2, 4193?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shhashsshsahsha. What is prob of picking 3 a?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/2882328 and -163\/126?\nAnswer: 60528888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.63*-0.1.\nAnswer: 0.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 246945.436 to the nearest one hundred.\nAnswer: 246900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2962? (a) 0.5 (b) -1\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/59 (b) -87 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (571\/571)\/((4\/(-8))\/(99\/6))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2457 - (-7 + 0 + 0). What is d rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(2736) - (-2 + sqrt(2736))) - sqrt(2736)) + -3)**2.\nAnswer: -72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(0 - -6)*-4. Let u be y\/6 + 119\/21. List the prime factors of (13\/2)\/(3\/u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1224865*x**2 + 3249578 wrt x?\nAnswer: -2449730*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) 2 (c) -2\/39 (d) 390 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3495*y**4 + 4*y**3 + 13464 with respect to y.\nAnswer: -13980*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6452880 and -101\/280560?\nAnswer: 6452880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19)\/2*(-5 - -7). Suppose -r = -5*k + 180, 3*k - k + r = 79. What is the remainder when k is divided by (0 + l)\/(11\/(-11))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 755 + 404*a**2 - 6000*a - 722*a**3 + 185*a**3 + 15*a**4 + 1282*a**2 + 1806*a**2 - 2099 = 0. Calculate a.\nAnswer: -1\/5, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1410*d + 1484*d - 205*d)*((d**2 - d + d)*(-3 + 4 + 1) - d**2 - 2*d**2 + 2*d**2)*(-6 - 7 - 1) to l + k*d**3 + r*d**2 + c*d and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (5 + -6 - 0) - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790*s**3 - 780*s**3 + 1571*s**3 + 39.\nAnswer: s**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.9346 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*o - 64*o - 44*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10061\/3 + ((-280)\/60)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 2\/909 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.4, -39, 0.17, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(((-23)\/(-23))\/45).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q**2 - 14*q - 1. Determine n(5).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 15, -i - 93 = 3*j - 7*j. Calculate the remainder when j is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -i + 8, 4*a - i = -8. Let o = a - -8. Suppose -o = -z - 2. Solve -5*v = -10*v + z*w - 35, -10 = -5*v - 4*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/4)\/g**(-4\/5))\/(g\/(g*(g\/(g\/(g\/g**0*g)))\/g*g))**(-30))**19 assuming g is positive.\nAnswer: g**(-22781\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432.4626 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4 + 2193*x**3 + 1194600*x**2 - 8470000*x = 0.\nAnswer: -1100, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 582.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + v = 7, q - v + 2*v + 5 = 0. Let w be 3 + q + 0 + 1. List the prime factors of (w - -4)*(0 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + a**4 - 2*a**4 - a + a - 2*a**4 + (-2*a**3 + 2*a**2 - 2*a**2)*(-3*a + 8*a - a) + 82*a**4 - 60695*a + 103*a**4 + 60690*a.\nAnswer: 173*a**4 - 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 620, 11, 1\/3, -59\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*k**3*z**2 + k**3*z + 2141*k**2*z + 6*k**2 - k*z + z**3 + 1384*z**2 + 2*z wrt z?\nAnswer: -92*k**3 + 6*z + 2768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 568 - 579. Suppose -3*m + 15 = 5*n, 0 = -5*n + 5*m + 5 + 10. Suppose 4 = 2*x, -51 = 4*s - n*x - 5. Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2207, 2216, 2225, 2234, 2243?\nAnswer: 2252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 181656 divided by -2\nAnswer: -90828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 2*z - 15. What is the units digit of (309\/(-15) - 1)\/(z\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177488472 is divided by 50.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98065, 392563, 883387, 1570531, 2453989, 3533755?\nAnswer: 4809823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)*c*c*c\/(c*c*c**6*c))\/((c*(c*c**(-5)\/c)\/c)\/c*c*c*c\/(c\/(c*c**(5\/6)))) assuming c is positive.\nAnswer: c**(-103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d**3 - 753*d**3 + 92*d**2 - 92*d**2.\nAnswer: -785*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60511 = 5*c + 4*j, 44*j = -5*c + 42*j + 60523. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 4*w**2 - 2*w + 1. Let j(f) = -f**3 - 7*f**2 - 6*f - 6. Let a be j(-6). Let d = a - -3. What is u(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27155, 55383, 83613, 111845, 140079, 168315?\nAnswer: 196553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6. Let n(c) = -c - 5. Determine 5*n(u) - 4*v(u).\nAnswer: -5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 282887113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14 + 25473\/2205 + (-9)\/(-3) and -83\/765?\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 9*c**2 - 8*c + 2. Let s be o(-8). Let q be (-4)\/s - (0 + -5). Let w be q - (5 + 20\/(-4)). Solve -w*j - 1 = -4*y + 10, 0 = -5*y - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*d + 140 = 5*l, -3*l + 2*d = -428. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) - -1*(sqrt(171) - (-1*sqrt(171) - sqrt(171) - sqrt(171))) - sqrt(171)))\/((sqrt(9) - sqrt(36))*-5).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13078, 13079, 13080?\n\"Answer: i + 13077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 182693\/(-20)*15\/12. Let s = x - -11412. Find the common denominator of s and (-92)\/(-2)*21\/(-224).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + a**2 - 4*a + 1. Let i be l(3). Suppose 20 = i*q - 24*q. Suppose 4*j + q = 5*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.5. Let f = -1.1 + k. Let j = 0.5 - -2.5. Which is the smallest value? (a) j (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**2 - 22*q**2 + 170*q**2.\nAnswer: 169*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in 1\/6, -45, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 412.5 less than 1.9449?\nAnswer: -410.5551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 12*i = 16, 0 = 2*a - 4*i - 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*sqrt(10)\/(sqrt(20)\/sqrt(4)).\nAnswer: -4*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**3 + 14*d**2 + d + 2. What is the remainder when z(-3) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1737823 - -43.376258\nAnswer: 43.2024757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 20*w**2 + 24*w + 44. What is v(-21)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58369\/46 + 1269. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2524 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 f(o) = 9 + 21 + 2 - 5 - 4 + 6*o. Let t(j) = -7*j - 24. Determine -5*f(r) - 4*t(r).\nAnswer: -2*r - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 1. Let z(a) = -3*a - 5. Let k(v) = 2*t(v) - z(v). Does 4 divide k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, 32, 68, 140, 260?\n\"Answer: 2*c**3 - 2*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/35? (a) -7\/4 (b) 0 (c) 0.3 (d) -2\/25 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -282527*p*q + 534*p - 175574794*q wrt p?\nAnswer: -282527*q + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r + 28*r = 41*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3650 and -34\/8833?\nAnswer: 441650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4383 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: What is 6.125626cm in millimeters?\nAnswer: 61.25626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 712 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 142*v**2 + 6 - 127*v**2 + (2 - 2 + 2*v)*(0 + 0 - 3*v).\nAnswer: 9*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 93 + 2\/15*h**5 + 0*h + 3*h**2 + 38\/9*h**3 + 11\/6*h**4. Factor r(x).\nAnswer: 2*x*(x + 1)**2*(x + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0158 to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 3*w - w + 33, -3*y = 3*w - 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 728*u + 49235. What is q(-68)?\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.205 * 0.108.\nAnswer: 0.02214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*a - 18 + 8, -6 = -4*f + 3*a. Let q be f - (-11 - (3 - 2)). Solve 5*j - 9 = 2*m - 5*m, q = -5*j + 4*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1906*o - 2. Let d(x) = -4160*x. Determine d(p(s)).\nAnswer: -7928960*s + 8320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*u + 9 + 2, 5 = 2*s + u. Suppose -b = -0*b - s. Suppose -14 = 5*w + b. Put -4, -1\/7, w in descending order.\nAnswer: -1\/7, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5))**(-35)\/((y\/y**6)\/y*y\/y**7*y))**(-10\/11) assuming y is positive.\nAnswer: y**(-1860\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 80*j = 753840. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -412 + 682.2. What is r rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108163395 by -30895.\nAnswer: 3501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 3:29 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 144881?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 581 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 916560 and 406288.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 685207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1053\/65 + -15)*(-1 - -6). Let y(s) be the second derivative of 2*s + 0*s**3 + 0 + 0*s**2 - 1\/42*s**4 + 0*s**5 + 1\/105*s**h. Solve y(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let d be g(2). Suppose 5 = -d*i + 17. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 106 - 86, -27 = 3*w + 3*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-90)\/(-24))\/((-1)\/(-4)). List the prime factors of -19 + d + 158 + 1.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m + 38429174 = 43*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68.7 in 2, -0.2, 2\/11, 2\/15, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 15*x - 66. Let h be s(12). Let l = h - 573\/5. Let o = -41.6 + 42. What is the nearest to -3 in o, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2 = d, -26*q - 2 = -24*q - 2*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.438, -698 in decreasing order.\nAnswer: 8, -0.438, -698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 60 (c) 1\/9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 4*b + 23 + 7, 2*n - 16 = 4*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2691, -2682, -2667, -2646?\n\"Answer: 3*b**2 - 2694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -67436 < -67334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 710 and 450140?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 2. Let w be k(-8). Let h(z) = 2*z**2 - 6*z. Let y be h(4). Let f = y - w. Solve f*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 703864 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, d: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 22 = 58. What is the highest common factor of 48 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 333, 1028, 1723, 2418?\n\"Answer: 695*x - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2 - 1788486*k - 266556847683 = 0.\nAnswer: -298081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.43 and 0.2.\nAnswer: -3.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/61 or -1?\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-3)\/(-15)*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3f1 (base 16) to base 13\nAnswer: -5c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7908 - 4432. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -20116*z + 439. Let k(y) = -10057*y + 176. Give -5*k(p) + 2*u(p).\nAnswer: 10053*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696 a factor of 4105689479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, n: 3, o: 3, d: 2, w: 5}. Give prob of picking 1 d and 2 o.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335753*s**2 - 335762*s**2 + 671516*s**2 + 7.\nAnswer: s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1420 and 5577778.\nAnswer: 5579198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1375\/(-595)) + 3088\/26248.\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmpmpmmmmmzmmmmp. What is prob of sequence pmpp?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42498 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (75\/5)\/((-12)\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11223000 (base 4) to base 7\nAnswer: 124506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-21) - ((-3)\/35)\/1. Which is the second smallest value? (a) 0 (b) 2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9947103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.84, -0.5, -0.9, 0.02, -0.04 in increasing order.\nAnswer: -0.9, -0.5, -0.04, 0.02, 12.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + -3)**2 + ((sqrt(140)\/sqrt(4))\/sqrt(5) - sqrt(7)) - (5 + -1 + sqrt(700))*-6.\nAnswer: 61 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1250 and 53\/75?\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 1 - (10 + -76 + 71).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.4 rounded to zero decimal places?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**2. Let o(j) = 15*j**2. Determine -5*d(x) + 2*o(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.1*-5.\nAnswer: -70.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 54 = -z - 2*j, -39*j = 46*j - 84*j - 30 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-665)\/15*76\/5054*57\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, l: 8, u: 1, a: 6, j: 1}. Give prob of sequence oaj.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133 * -16349.\nAnswer: 2174417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 2*k + 7. Determine s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.17 - -0.35. Let r = -0.68 + j. Sort -3, -1\/4, r in decreasing order.\nAnswer: -1\/4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*u + 3*y + 20, 5*u - 2*y = 21. Solve -l + z + 10 = 0, 0 = -5*l - 3*z + u + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2349935149.\nAnswer: 2349935149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10222220?\nAnswer: 10222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 226437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 3*a + 3. Let w be y(5). Let o = -2 + 27. Let c = o + w. Calculate the greatest common divisor of 72 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from jccccbbdx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -341730 >= -341725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3110523246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39168630 and 1080?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Let o be ((-6)\/12)\/(d\/(-48)). Let k be 4\/o + 26\/(-6). Let p(f) = f**2 + 4*f + 5. Give p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 4481*m - 35726. Calculate a(8).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4229.\nAnswer: 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 3*d - 8, -4*d + 8 = 87*x - 83*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 12997351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 297166?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*sqrt(252).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162892 and 7596.\nAnswer: 1466028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/3 - 16*u**4\/3 - 8*u**3\/3 + 64*u**2\/3 = 0. What is u?\nAnswer: -2, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -7*s + 58 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 667769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 185 in -3, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*l + 124198, -5*u + 155245 = -0*u + 5*l. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1163687 and 1295.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -5*k**4 - 5*k**3\/3 + 10*k**2 + 5*k + 115. Find p such that d(p) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*t = 115*t. Suppose 2*y - 532 = -3*l, t = l - 4 + 6. Round y to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2536\/(-9) - 6\/27. Let g be 5 - l\/(-54) - 28\/(-45). Determine f, given that -2\/5 - g*f**2 - 4\/5*f = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 19 - (-7)\/(-14))*(27 - 105)\/(-39)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*s - 67*s + 2108 = 62*s. Solve 29*n - 3*m = s*n - 10, m - 3 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-287)\/123)\/(2\/6). Does 16 divide 9\/3 + (-692)\/(i + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*q - 34 + 4, 2*q - 3*b - 5 = 0. Let c = 28 - 30. Put c, q, -0.1 in descending order.\nAnswer: q, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1401\/6071*(-26)\/(-33) - 712\/286.\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b + 6243 + 914 = -13003. Calculate the lowest common multiple of 588 and b.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 6*m - m - 4*b, 0*m = -5*m - 6*b - 18 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 16*i - 11. Let l be j(-15). Suppose 7*x = -l*x + 44. Solve -3*g - 2*n + 9 = 0, -10 = -x*g - 4*n + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 39, 36, 33, 30, 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/75 in -12, 0.02, 2, -490?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9742, 19357, 28968, 38575, 48178?\n\"Answer: -2*x**2 + 9621*x + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669*w = 360*w - 203*w - 50386 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004286005 to four decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p = -41*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5\/3 - 86164*n**4\/3 + 258456*n**3 - 775332*n**2 + 775314*n.\nAnswer: 2*n*(n - 43073)*(n - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**6\/180 - b**5\/40 + b**4\/12 + 5*b**3\/3 - 2*b**2 + 7*b. Let y(z) be the first derivative of m(z). Calculate y(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - 2) + 70\/105)*12\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1.4. Let i = 21.862 + -19.862. What is the second biggest value in 1, z, i, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22428226?\nAnswer: 2, 11214113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + 817867?\nAnswer: 817847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.13 + -479?\nAnswer: -424.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 10*c - 90 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2232, -8699, -19432, -34395, -53552, -76867?\nAnswer: -104304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21791 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17437 is divided by 387.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 0 - (-3300)\/374) + 4\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 871*p**3 - 1896*p**3 + 317*p**3 - 2607*p**3.\nAnswer: -3315*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 10*t**2 + 5*t - 12. Let q be (0 - -6)\/(18\/(-48)). Let k = 30 - q. Calculate the remainder when k is divided by a(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-250))\/((-44)\/(-2)*7\/70)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 917 divide 82719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6989, 6983, 6955, 6893, 6785, 6619?\n\"Answer: -2*i**3 + i**2 + 5*i + 6985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -192, -198, -206, -216, -228, -242, -258?\n\"Answer: -t**2 - 3*t - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -1 + 25. What is the smallest common multiple of 4 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 25\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 11) to base 10.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48419*-0.01\nAnswer: 484.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i*t**2 + 2082*i*t + 3*i + 28*t**2 - 1674*t wrt i?\nAnswer: 4*t**2 + 2082*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/8*(-116)\/58*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157395 - 588076. Let f = b - -430679.26141. Let j = 1.74 + f. Round j to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-1 + 3 + 0)*(66 + 8*l - 66) + (1 + 1 - 1)*(-4*l + 3*l + 2*l).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*t - 31, -4*o - 2*t + 14 = t. Let u(l) = -l**3 - 73*l**2 + 85*l + 816. Let w be u(-74). Solve o*y = 3*h + 7, 0 = w*y + 6*h - 4*h - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7462 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54633?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 64. Let p = -24 + v. Let o be p*1*7\/14. Solve -2*t - k = -6, 4*t - o = 5*k - 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393401?\nAnswer: 393401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u\/(u**(-5)*u)))))\/(u\/((u**(-1)*u*u)\/u)))\/(((u\/(((u**(-9\/4)*u)\/u*u)\/u))\/u)\/(u*u**7*u*u)) assuming u is positive.\nAnswer: u**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 36*i**2 + 32*i - 98. Calculate the remainder when s(-35) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/15 and -109\/56070.\nAnswer: 56070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 154\/13 (b) -35 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1649, 8 in descending order.\nAnswer: 8, -2, -1649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2832 + 32872?\nAnswer: 30040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13659010 and -0.3.\nAnswer: -13659010.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49.9 - 48. Let y = t - 2. Which is smaller: 28 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 2 o when four letters picked without replacement from {v: 2, o: 4, e: 7, q: 1}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124246 by -74.\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 124 in -4\/3, 8, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -7. Suppose -b*c - 2 = d + 18, -5*d = 4*c + 16. Is 34 - c\/8*6 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1108 and 115\/12.\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11788371 and 441.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -2*w - 5*z - 2, -4*w - 5*z = 84. Let f be (w\/(-80)*-4)\/((-4)\/(-350)). Put 2, 1, f, -2\/5 in decreasing order.\nAnswer: 2, 1, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.7 - 42. Let h = -20 - -18. Which is the smallest value? (a) h (b) s (c) 1\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110811 and 741?\nAnswer: 27370317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 140, 4\/5 in descending order.\nAnswer: 140, 4\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/35*266\/570)\/(8\/(-1416)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*b**2 - 1009*b + 1009*b.\nAnswer: -97*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 15*t**2 - 2*t - 2*t - 2 + t. Let d be i(-3). Suppose b + 5*z + 191 = 4*b, -2*b - 4*z = -d. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7))**(6\/7)*(u\/u**(-4))\/u**(-5)*(u**(2\/5))**(1\/50)*u**3*u*u\/(u\/u**(2\/5)) assuming u is positive.\nAnswer: u**(86749\/6125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = g - 497, -4*t + 2*g - 5*g + 499 = 0. Suppose 3*q = 257 + t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2021259 divided by 123.\nAnswer: -16433","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21983.\nAnswer: 13, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*k**2 + 17*k**6 - 3*k**6 + 21*k**5 - 21*k**5 wrt k?\nAnswer: 1680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626851871.\nAnswer: 163, 3845717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 0.\nAnswer: 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -244, -1, -57556 in decreasing order.\nAnswer: -1, -244, -57556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3522522, 3522542, 3522576, 3522630, 3522710, 3522822?\n\"Answer: z**3 + z**2 + 10*z + 3522510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -538.9 - -567. Let n = 28.23 - y. What is the nearest to 0 in 1, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 divided by -206?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*(1 + (sqrt(175)*-3 - sqrt(175) - sqrt(175)))*-6)**2 + 1).\nAnswer: -1800*sqrt(7) + 157537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196868 and 474?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 4*q**2 + 2*q - 4. Let v be x(4). Let f = 116 - 52. Suppose f = v*o - 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 16 - -1 - 2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.219507km to nanometers.\nAnswer: 4219507000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 12:03 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 12:08 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 22. Calculate f(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**3 + 3*u**2 + 3*u - 16. What is a in d(a) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 12:45 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57316.5 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 4, 1.\nAnswer: -6, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**2 - 6. Let l(h) be the third derivative of -13*h**5\/30 + 3*h**3 - h**2 + 829*h. Calculate 6*l(u) + 17*m(u).\nAnswer: -3*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014586 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + m - 214. Suppose -n - 77 = -4*j, 3*n + m - 9 = 5*j. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7929, -11, 94 in decreasing order.\nAnswer: 7929, 94, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0, -7, 32, -4, 227 in decreasing order.\nAnswer: 227, 32, 1, 0, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + p - 1)*(-2 + 4 - 3) + 4 - 2*p - 4 - 2*p + 0*p + p)*(-258 + 28 + 142).\nAnswer: 352*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, -7, -43, -95, -163?\n\"Answer: -8*p**2 + 4*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977 = -3*s + 5*w + 988, -4*w = 3*s + 25. Which is the nearest to 2\/3? (a) -141 (b) 1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.538 - 71.362. Let v = u + 13.9. Let j = 57.926 + v. Round j to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a + 16. Give j(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 0*d**3 - 18855*d**2 + 9444*d**2 + 9387*d**2.\nAnswer: 2*d**3 - 24*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 17. Suppose -d - 2*i + 25 + 92 = 0, -d + h*i + 127 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (93\/9)\/((-1)\/3). Let s = -123\/4 - p. Solve 1\/2*g**2 + 0 + 1\/4*g + 0*g**3 - s*g**5 - 1\/2*g**4 = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2191093170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*c - 318 = 0, 0*w = 3*w + 2*c + 247. Let d = -76 - w. Solve 2 + 8 = d*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(187) + sqrt(187)*1)*1 + sqrt(187))\/(sqrt(11) + 2*sqrt(11)*-4).\nAnswer: 18*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(0 - (-6)\/(-27932)). Suppose 3*z - 2643 = w + 11311, 0 = -3*z + 4*w + q. Suppose 0 = 2*x + 3*a + a - 2330, 4*x = 2*a + z. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -123 + 92*t - 195 - 77 + 876*t**2 - 13 - 880*t**2 = 0. What is t?\nAnswer: 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 7*o = 14*o - 240 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1256*t**2 - 1. Let l(y) = -4*y**2. What is z(l(j))?\nAnswer: 20096*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5145, -104, -19, 16 in increasing order.\nAnswer: -5145, -104, -19, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71600626.\nAnswer: 2, 19, 1884227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, k: 6}. Give prob of sequence ku.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, -1, -11, -12150, 5 in descending order.\nAnswer: 5, -0.2, -1, -4, -11, -12150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.41, 2, 38, -52, -0.1, -5 in decreasing order.\nAnswer: 38, 2, -0.1, -0.41, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + -97. Which is the nearest to -1? (a) 1\/3 (b) r (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7927, -8087, -8353, -8725, -9203, -9787?\n\"Answer: -53*n**2 - n - 7873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 7*z**2 - 9*z + 5. Let a(r) be the first derivative of -9*r**2\/2 + 78*r - 102. Let x be a(8). What is i(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-13)\/((-572)\/12))*174\/145.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/2 - (-7646 - -7788)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -16*h**2 - h. Let q(u) = 5*u**3 + 23*u**2 - 7*u. Let s(v) = -4*v**3 - 17*v**2 + 5*v. Let c(m) = 3*q(m) + 4*s(m). Calculate -c(o) + x(o).\nAnswer: o**3 - 17*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 5*x**2 - 3*x**2 + (-2 - 1 + 2)*(2*x**2 + 3 - 3) - 3*x**2 - 12 + 12.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.058 + -0.042. Let b = n + -3.9. Sort -0.01, 0.2, b in descending order.\nAnswer: 0.2, -0.01, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -0.51718.\nAnswer: -8.27488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from aaaiaaaaviaaaiaav.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (133\/(-171))\/(140\/(-240)). Which is the second smallest value? (a) y (b) -72 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.2 - 26.20204. What is p rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*d - 270 = 49*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 219115870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022 + 2102112102?\nAnswer: 2102102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 45 = -2*s - s, -s = -3*n - 23. Let g = 13 + -10. Suppose -s = -g*m + 115. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-238)\/595 + 295217\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 16*q**2 + 10*q + 164. Calculate p(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -59*c**2\/2 - 120*c - 117. What is the derivative of z(q) wrt q?\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -0.2, 0.3, 112, 0, -0.1.\nAnswer: -0.2, -0.1, 0, 1\/5, 0.3, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 176 = -5*u + 2*a, 2*a - 94 = -2*u. Let c be -1 - 1*(0 - 3). Let k be (2 - -2)*5 - c. What is the highest common divisor of u and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 38*z**2 - 5103*z + 1646. Calculate d(134).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1105 divided by 5\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8779 - 12345. Is 21 a factor of 4\/10 + 3\/((-30)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 173634 and 1806.\nAnswer: 1215438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 503151, -3, 5, 2 in decreasing order.\nAnswer: 503151, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (-1 + 2 + (sqrt(17) - sqrt(85)\/sqrt(5)) - 3*(sqrt(17) - -4*(sqrt(17) - (2*sqrt(17))**2)))).\nAnswer: -2439 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -3*j + 67, 2*q = -6*j + 334 - 330 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.3238 * 0.7.\nAnswer: -5.12666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 - (-4 - (-1 + 2)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 7:29 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + 30. Let h = u - 72. What is the highest common factor of h and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -29. Let l = 74 + -105. Let f be (-10)\/(-80) + l\/o. Solve -4*c - 5 = 3*j, -f*j - 3*c + c = 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + -10d?\nAnswer: -ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nng when three letters picked without replacement from {n: 3, g: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*t - 86*t = -4140. What is the smallest common multiple of 4 and t?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one quarters of a tonne?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 41 = 6*o. Suppose 5*t = -4*f + f + 13, -29 = f - o*t. Is -24\/5 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 409 - 2893\/7. Calculate the common denominator of -1\/20 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*r - 5, 2*r = -5*z + 1538. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f = 30. Suppose f*a - 15 = 3*a. Suppose -a*n + 4*g = -235, 3*n + g - 139 = 3*g. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95363 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(245) + -2 + 6*(-1 + sqrt(245)))**2.\nAnswer: -560*sqrt(5) + 6189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - 3*p + 3. Let m be 3*66\/18 + -7. Let v(w) = 2*w**2 + 4*w - 4. Give m*h(d) + 3*v(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 y, and 1 k when three letters picked without replacement from hkhnykkhkkfhfkkk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-8)\/(-12))*-2*-6. Suppose -5*y + 14040 = 10*k - 7*k, l*k = 2*y - 5642. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000150735 rounded to 7 decimal places?\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3389*f + 3 + 1 + 12*f**3 - 14*f**3.\nAnswer: -2*f**3 - 3389*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(2\/3)*x))**(-4\/7))**46\/(x\/x**(-2\/5)*x\/(x*x**(-2\/21)*x)*x*x\/((x**(2\/5)*x*x)\/x)*x\/x**1) assuming x is positive.\nAnswer: x**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247 or -270?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (45 + -2 + 3)\/(4\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3158573 and 1.\nAnswer: 3158573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*(q\/(q*q*q\/q**(1\/2)*q)*q*q)\/q)\/q*q)**(-1\/67)\/((q**4*q)\/q**(1\/6)))**(-3\/4))**43 assuming q is positive.\nAnswer: q**(20855\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 3*q**5\/100 + 9*q**4\/5 - 39*q**3\/10 - 111*q**2\/5 - 2*q - 54. Let f(c) = 0. Calculate c.\nAnswer: -37, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/(-93) - ((-125)\/30 + 4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Let w be ((-1)\/x)\/((-2)\/4). Suppose -m + 6 = 4*n + m, m - w = -n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 5*n + 90. Suppose -n = u + 5*m, 45 = -3*u + u - m. Put -3, u, -2 in descending order.\nAnswer: -2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-29)\/12 - (-4)\/16. Let r = -22\/3 + w. What is the common denominator of r and 57\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzlhwwxhllxxxhhh. What is prob of picking 1 z and 1 x?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1388009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123667 is divided by 6868.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 16 = 47*b - 43*b, -5*v - 50 = 5*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5*g - 246 = -256, g = 5*v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70184803?\nAnswer: 13, 19, 284149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 469757021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - m = -17 + 24, -20 = -4*u - 4*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.8 + -6. Let y = o + -0.2. Which is the second biggest value? (a) y (b) -4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139847157 divided by -1\nAnswer: 139847157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 2*g. Let w(b) = -b. Let i(a) = -a**3 + 3*a**2 + 17*a + 2. Let v be i(6). What is v*w(l) - m(l)?\nAnswer: l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.4 - 41. Let z = j + 0.6. What is the third smallest value in z, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3310573 is divided by 220704?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10002 - -31424?\nAnswer: 41430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3738.426ml to litres.\nAnswer: 3.738426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Suppose 3*q - q = -o. Let k = 6 - q. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 3. Suppose 7*w - 2*w - 25 = 0. Suppose -w*j + 4*v = 8, -5*j - 4*v - 7 = 25. Calculate t(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tbttbttbbt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - r**2 + 12. Let m(w) = -w**2 + 1. What is -2*g(s) + 2*m(s)?\nAnswer: -2*s**3 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -29.6. Let k = 29\/15 + -7\/3. Which is the nearest to k? (a) 3 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1230, -2563, -3974, -5463, -7030, -8675?\nAnswer: -10398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 9*o**2 - 10*o + 1. Determine x(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(1\/9)\/(j**(-2)\/j**9) assuming j is positive.\nAnswer: j**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.2 from -35.\nAnswer: -33.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1504929290 to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/7 and ((-138)\/(-63) + -4)*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 3. Let y be r(0). Let s be (y\/2*-2 + -2)*-67. Let x = s + 67. Which is bigger: x or 15\/16?\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -126910 and -5203362\/41 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 16) + (-302)\/20\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 bigger than 405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6 and 111\/(-3)*(-5)\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (15 - 25 - -36) - 2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 27 = 0, -36675*s = -36673*s + 3*r + 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. What are the prime factors of -1*(-1)\/p*57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -9*s**5\/5 + 10*s + 15. Differentiate t(d) with respect to d.\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5680 by 710.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-two fifths of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.4131134 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28539985 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002011 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 10) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23797 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16253\/55216 - -43\/464. Let b = 3379\/357 - a. What is the common denominator of b and (-1)\/((-11)\/37 + 0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4. Suppose 5*g + 9 - 74 = p. Let x be (78\/(-4))\/(6\/(-16)). What is the greatest common factor of x and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 22*n**2 - 17*n - 114. Let c be v(23). Solve c*z = -8*z + 160 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16475 + 16494. What is the fifth smallest value in 1\/4, 0.2, i, -4\/3, 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6053054170 to the nearest one million.\nAnswer: 6053000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.70573l to millilitres.\nAnswer: 51705.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -650.2401 less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77228*s**2*x**3 + 3*s**2*x**2 - 11*s**2 + s*x**2 + s*x + 34*x**3 + 4*x**2 + 177*x - 7 wrt s.\nAnswer: 154456*x**3 + 6*x**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*y + 3214*y**3 - 6419*y**3 + 3206*y**3 - 74*y - 367.\nAnswer: y**3 - 367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**(4\/5))\/x)\/(x*x\/(x\/x**(-3))*x)*x**(-1\/8)*x**(2\/7)*x assuming x is positive.\nAnswer: x**(661\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8588*j**3 + 0*j**2 - 19158*j**3 + 10602*j**3 + 0*j**2.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (6 - 7) + (-3 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/231 and 38\/1879647?\nAnswer: 1879647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x**3 + 6*x + 7. Let o be w(-2). Let n = -56 - o. Solve k - 12 = -3*l + 6*k, 0 = -n*k - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 382552?\nAnswer: 4208072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*r - 2, -4*r - d - 3*d = -8. Suppose r = 4*g - 9 - 7. What is the lowest common multiple of 2 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 28, 45, 62, 79?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**4\/24 + c**3\/6 - c**2 + 33*c + 84. Let n(j) be the second derivative of f(j). Calculate n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5000) + -2*sqrt(5000))\/(sqrt(490) + 2*sqrt(490)) + 3*3*sqrt(80)\/sqrt(4).\nAnswer: 368*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259, 1818, 5947, 13900, 26931, 46294?\nAnswer: 73243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -27. Suppose -5*q = -s*q - 305. Let j = q - 15. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -520*v + 523*v + k, 5*v = -3*k - 33 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - j = -21, 43*j - 48*j = -3*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 0\/(-2) - (-2 + -5 + 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2554 - 2567. Let s(a) = 3*a + 31. Calculate s(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 - 136*u**2 - 130*u**2 - 4*u**3 + 3*u**3 + 215*u**2 as b*u**2 + n + l*u + x*u**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 67178970*z**2. Let x(f) = -4*f. Calculate p(x(v)).\nAnswer: 1074863520*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4 - 3 - 5*r - 2*r - 5 to the form c*r + l and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2. Let k(s) be the third derivative of s**4\/12 - 6*s**2. Calculate k(x(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 421, 5, -2 in decreasing order.\nAnswer: 421, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**2 - 1. Let y(j) = 16362 - 16362 - 12*j**2 + 15*j**2. Determine g(y(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**5 + 136685*y**3 + 223*y**2 - 72 wrt y?\nAnswer: -120*y**2 + 820110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - (-1 + 78\/(-40)) and 30\/(-12)*(2 + (-226)\/120).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - -0.06. Let p = 0.0818 - q. Round p to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005572cm in millimeters?\nAnswer: 0.005572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 271159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*b - 597, 89*b = 90*b - 5. Suppose -q = -3*q + 26. Calculate the highest common divisor of q and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}