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, -8 = -2*l + 5*k - 2. Let o = 1 - l. Suppose -4*u + 5 = -h - 2, -4*u = o*h - 27. Which is smaller: 2 or u? 2 Suppose 0 = 3*b - 2*q - 91, -3*q = 2*q - 5. Let d = b - 31. Is -1/126 less than or equal to d? True Let x = -2 + 4. Suppose 4*j - 8 = -2*b, -3*b - x*b = 4*j - 2. Let s be 33/(-84) - j/(-21). Which is greater: 3 or s? 3 Let t be 34 + 1 + -6 + 8. Which is greater: t or 47? 47 Let s be ((-1370)/15)/(((-8)/(-6))/1). Are -70 and s unequal? True Let t = -360 + 371. Suppose -5*b + 6*g = g - 40, 9 = -3*g. Suppose -4*x = -6*x - b*u + 32, 63 = 5*x + 4*u. Are t and x nonequal? False Let b(m) = -7*m + 11. Let q be b(5). Let o be ((-93)/(-4))/(q/(-64)). Let l = o + -184/3. Is l at most as big as 0.3? False Let u be 2*-2*(-16)/(-32). Let t be (0 + 2)/u*(6 + -8). Which is greater: -4 or t? t Let r = -6/101 + -35/1111. Let v be -4 - -3 - -1*1. Let s = r - v. Which is bigger: s or 1? 1 Let j be 4647/4641 + (-4)/2 - -1. Is -1 at least j? False Suppose 4*f + 12 = -t - 0, t + 10 = -3*f. Is -112/3 equal to f? False Let d = -2 - -3. Let g be ((-5)/(-2)*(-8)/(-5))/46. Which is smaller: g or d? g Let q = 0.713 - 0.75. Let s = -0.437 - q. Which is bigger: -4 or s? s Let s be 1/1*55 - (-2 + 1). Which is smaller: s or 0.2? 0.2 Suppose 4 = -44*w + 40*w. Suppose 0 = -3*j + 2*h - 6*h - 3, -3*j + 5*h + 24 = 0. Suppose j*y = y + 4. Which is bigger: y or w? y Let p = 2.05 - 0.05. Let q = -0.238 + 0.298. Which is bigger: q or p? p Let p(o) be the third derivative of o**5/60 - 2*o**4/3 - 8*o**3/3 + 4*o**2. Let m be p(17). Is 6/5 >= m? True Let i = 1.3 + 2.7. Let m = 4 + i. Does 0.2 = m? False Suppose 0 = 3*t - k - k - 91, 4 = 4*k. Let l = t + -106/3. Is -5 < l? True Let g(y) = y**2 + 20*y - 4. Let l be g(-12). Let x = 301/3 + l. Are x and 1 nonequal? True Let c = -940 + 1841/2. Let m = -260 - -241. Are m and c equal? False Suppose 269 = 12*p + 77. Is -2 at most as big as p? True Suppose -x = 4*x + 200. Let s be 48/x*5/(-2). Let o be -4*4/(-168)*s. Which is smaller: o or -0.4? -0.4 Let m = 563 - 563. Are m and 2/153 equal? False Let b(y) = -3*y**2 + 5*y - 23. Let v be b(7). Which is bigger: -137 or v? v Let p(c) = c**3 - 5*c**2 + 4*c - 3. Let j be p(4). Suppose -32*n - 82 = 78. Is n < j? True Let v be (-3 - 10/(-12)*4)*3. Suppose 2*o - 2 = -k, -2*o + 3*o - v = 5*k. Which is smaller: k or 4/17? k Let l(w) = 5*w**3 - 13 + 7*w**2 - 6*w**3 + 14*w + 5*w**2. Let k be l(13). Which is smaller: 12/19 or k? k Let h = -2669 + 2668. Let w be 66/(-15) - 2*-1. Which is smaller: h or w? w Let w = 126 + -501/4. Let i = 4.13 - 4. Let r = i - 3.13. Is w at least as big as r? True Suppose -3*b + 23 = t, -136*b + 132*b + 35 = -3*t. Do 20/3 and b have different values? True Let r be 48/(-26) + 6/(-39). Let z be 5/(-2)*(-116)/(-145). Is z != r? False Let c = 30181/6 - 5046. Are c and -15 nonequal? True Let f = -57 + 107. Suppose -2*h + f = 4*c, 3*h - 50 = -2*c + c. Is 15 at least h? True Suppose -885 = 3*g + 2*g. Let c = 1237/7 + g. Do 1 and c have different values? True Let o(h) be the second derivative of -h**4/6 - 2*h**3 + 15*h**2/2 + 20*h. Let i be o(-7). Let a = 3 - 1. Is a at most i? False Let a = -2 - 5. Suppose -5*i - 29 = 3*r, 5*r + i = 4*i - 37. Let b = r - a. Which is smaller: -2/23 or b? b Let p be (-2)/((2 - -6) + -6). Is -18/23 smaller than p? False Let j = -265 + 266. Which is smaller: j or 1.7? j Let m = 40 - 39. Is m equal to -1/2032? False Suppose 0 = -2*t + 4, -s - 198 = 2*t - t. Is s bigger than -197? False Let t be 3/2 + (-5 - 20462/92). Let u = t - -226. Let k be (-4)/10 - (-2)/5. Is u at most as big as k? False Let s = 59 - -78. Suppose y = 5*i + 135, i - s = 5*i + 5*y. Let z be i/(-315)*(-6 - -1). Do 0 and z have the same value? False Suppose -b = -5*o + 12, 3*b = 6*b + 4*o - 40. Which is greater: 18 or b? 18 Suppose 0 = -t + 3 - 0. Let m = 58.2 + -54. Let z = 3.9 - m. Which is greater: z or t? t Let z be (-2)/8 - (-91)/60. Let a = -33613/9 + 3864094/1035. Let b = z + a. Is b < 0? True Let u be 1/((-4)/(-124)) + -1. Let a be 10/u + 4/(-6). Which is greater: a or 8? 8 Suppose z = -0*z + 8. Let v(w) = w**2 - 10*w - 5. Let o be v(11). Let r be o/(-27) + z/(-18). Which is smaller: -2 or r? -2 Suppose 2*g = -12*j + 10*j + 160, -j - 220 = -3*g. Which is bigger: 78 or g? 78 Suppose u + 3 - 5 = 0. Let y(s) = -s**2 + 51*s - 140. Let c be y(3). Which is bigger: u or c? c Let o be 252 - (0 - -8)*(-5)/(-20). Is -2/5 greater than or equal to o? False Let u = -22 + 39. Let y = -6 + -11. Let p = u + y. Which is smaller:
{ "pile_set_name": "DM Mathematics" }
+ 123. Let m be z(4). What is m rounded to the nearest one hundred? 1000 Let t = -47 - -32. Let u be (-2)/(-5) + (0 - 6084/t). Round u to the nearest one hundred. 400 Let n = 335 + -335.00728. Round n to three dps. -0.007 Let u = 25 - 21. Let b be -4296 + 0 + (-16)/u. What is b rounded to the nearest 1000? -4000 Let g = -8 - -10. Let w(f) = f**2 - 2*f - 5. Let v be w(4). Suppose g*u - v*u = 7900000. Round u to the nearest 1000000. -8000000 Let v(a) = -1751271*a + 3. Let b be v(-1). Suppose -72726 = -6*k + b. What is k rounded to the nearest ten thousand? 300000 Let q = 149436 - 26795. Let w be q - 3 - 0/(-1). Let d = 191638 - w. Round d to the nearest 10000. 70000 Let l = -51.1 + 60.56. Round l to zero dps. 9 Let h = 85637.69 - 86326. Let n = 682 + h. Let v = n - 0.09. What is v rounded to the nearest integer? -6 Let b = -29 + 31.6. Let p = -30 - -32.65. Let u = p - b. What is u rounded to 2 decimal places? 0.05 Let w = 47 - 24. Let h = w - 23.01. What is h rounded to one dp? 0 Let m be -3839 - -67 - (8 - 0). What is m rounded to the nearest 1000? -4000 Let a = -0.049 + 0.949. Let u = a + -0.55. What is u rounded to one decimal place? 0.4 Suppose 8 = -t + 2*t - 2*w, -5*t = 3*w - 1. Suppose p = t*p - 6200000. What is p rounded to the nearest 1000000? 6000000 Let g = -6.7 - 5.38. What is g rounded to zero dps? -12 Let g = 207.4306 - 216.4306115. Let z = 0.4 + 8.6. Let i = g + z. What is i rounded to 6 dps? -0.000012 Let x(r) = r - 12. Let w = -30 + 42. Let z be x(w). Suppose z = 3*q + 619887 - 19887. Round q to the nearest 100000. -200000 Suppose -3*i - 15 = -0*i. Let m(v) be the first derivative of -27*v**4/4 + v**3/3 + v**2/2 + 5*v - 99. Let t be m(i). Round t to the nearest 1000. 3000 Let h = 20 - 22. Let s be -2 + (h/7 - 13062096/(-42)). What is s rounded to the nearest ten thousand? 310000 Let r = -2482050 + 4405050. What is r rounded to the nearest one hundred thousand? 1900000 Let j be -3*5/15*0. Suppose -24*y + 32*y - 824 = j. Round y to the nearest ten. 100 Let i = 45 + 177. Let m = -314 + i. Let y = m - -91.9999933. What is y rounded to 6 decimal places? -0.000007 Let c = -68 + 60.98. Let t = c + 0.02. Let g = t + 7.00000017. What is g rounded to seven decimal places? 0.0000002 Suppose -112953 = 2*n - 12953. What is n rounded to the nearest ten thousand? -50000 Let u = 7708834629 + -7708834601.000000296. Let a = -28 + u. What is a rounded to 7 decimal places? -0.0000003 Let j = -335 - -333.55. Round j to the nearest integer. -1 Let l = -4.98635 + 5. Round l to four decimal places. 0.0137 Suppose 50 = -5*r - 5*c, 2*c + 10 = 4*c. Let p(y) = -26*y**3 + 19*y**2 - y - 40. Let l be p(r). Round l to the nearest 10000. 90000 Let z = -1134.008 + 1134. What is z rounded to three dps? -0.008 Let m = -312.284 - 0.716. Let g = 313.000191 + m. What is g rounded to 5 dps? 0.00019 Suppose s + h = -0*s + 9, -4*h = -20. Suppose -10*w = s*w + 3528000. Round w to the nearest 100000. -300000 Let v = -0.58 + -98.42. Let t = -99.58 - v. What is t rounded to 1 dp? -0.6 Let n = -3238 - -2468. Round n to the nearest 1000. -1000 Let x = -18.49 + 0.39. Let c = 1.1 + x. Let p = 16.999989 + c. Round p to five dps. -0.00001 Let l = 24803 + -24802.67986. Let j = l - 0.32. Round j to five dps. 0.00014 Let r = -294058 + 294073.9927. Let h = -11 - -27. Let d = h - r. Round d to three dps. 0.007 Suppose 0 = -0*x + 4*x + 4. Let o be (x + -5)/((-8)/4). Suppose -4*y + o*d + 159980 = -d, d + 159995 = 4*y. What is y rounded to the nearest 100000? 0 Let b = 5778 + 8849. Let p = 2027 - b. Round p to the nearest 1000. -13000 Let o = 35 - 34.8. Let q = o + -0.25. What is q rounded to one decimal place? -0.1 Let a = 7409.43 + -7375. Let x = 34 - a. What is x rounded to 2 decimal places? -0.43 Let i = 876 + -3216. Round i to the nearest 1000. -2000 Let b = -0.96 + 1.26. Let h = b + -3.84. What is h rounded to 1 dp? -3.5 Let y = -261 + 410. Let p = 148.856077 + 0.226923. Let z = p - y. Round z to two decimal places. 0.08 Let g = -0.05 + 56.05. Let o = g + -51.4. What is o rounded to zero dps? 5 Let s = 12115 - 12179.99. What is s rounded to the nearest integer? -65 Let q = -122.97 - -1793.77. Round q to the nearest ten. 1670 Let b = -25.74002133 + 25.74. What is b rounded to 5 decimal places? -0.00002 Let g = -885.003955 - -885. Round g to 4 dps. -0.004 Let u = -11 - -10. Let s(n) = -1490*n - 1. Let b be s(u). Let z = b - -6511. What is z rounded to the nearest 1000? 8000 Let t = -421 - -337.37. Let n = 52.1 + t. Let b = 33 + n. What is b rounded to 1 dp? 1.5 Let a = 238 + -132. Let o = a + -60. Let x = o - 46.00000051. What is x rounded to seven dps? -0.0000005 Let x = -2086.9 - -1929. Round x to the nearest ten. -160 Let h = 941.2016 + -941. What is h rounded to two decimal places? 0.2 Let w = -111 - -205. Let n = w + -159. Let p = n - -65.000043. What is p rounded to 5 dps? 0.00004 Suppose 87*x - 79*x + 366240 = 0. Round x to the nearest 10000. -50000 Let m(g) = -4*g**3 - 11*g**2 - 10. Let j(y) = -y**2 + y - 1. Let x(b) = j(b) - m(b
{ "pile_set_name": "DM Mathematics" }
*f = -5 for g. -5 Solve 0*p + 35 = -4*p - 3*v, -3*v - 30 = 3*p for p. -5 Solve y = -2*s, -4*y + 0 = 4*s - 4 for y. 2 Solve 4*u - 3*u - 5 = 4*h, -1 = 4*u + 5*h for u. 1 Solve i - a = -27 + 35, 0 = 2*i + 4*a + 2 for i. 5 Solve -2 = 2*r, -3*a - a - r - 9 = 0 for a. -2 Solve 4*w - 3*p + 24 = p, -w - 2 = 3*p for w. -5 Solve -3*h = -5*n - 11 - 1, 0 = 4*h - n + 1 for h. -1 Solve 5*v - 5 = -5*q, 2*q + 3*v - 5 = -1 for q. -1 Solve 2*u + 16 = 2*v, -3*u + 23 = 38 for v. 3 Solve -2*q = -q - 3*j - 10, 0 = -2*q + 2*j for q. -5 Solve -p - 2*n + 2 = 0, 4*p + 5*n - 2 = -0*p for p. -2 Solve 4*p - 5*g + 21 = -19, 0 = 4*p + 5*g for p. -5 Solve -3*j = 3*m + 21, -2*m + 30 = -4*j + 14 for j. -5 Solve -f + 0*u = -5*u - 20, -2*u - 31 = -5*f for f. 5 Solve 4*p = -3*h - 10, -p - 3*h = 6 + 1 for p. -1 Solve -2*k = -g - 13, 2*g - 208*k = -203*k - 30 for g. -5 Solve 13*c = 2*v + 17*c + 14, 0 = -c - 3 for v. -1 Solve -15 = -3*g, -5*i - g = 12 - 7 for i. -2 Solve 2*o + 10 = 2*m, 3*o + 2*m + 5 = -5 for o. -4 Solve 3*m - 6 = -3*v, -6 = m - 9*v + 8*v for m. -2 Solve -4*h + 4 = 5*z, z + 16 = 5*z for h. -4 Solve 0 = -4*j + m - 49 + 28, 3*m = -3*j + 3 for j. -4 Solve 2*g - 26 = 4*p, 2*p = -4*g + g - 1 for p. -5 Solve -3*m = -m - l - 7, -3*m = -2*l - 9 for m. 5 Solve 0 = 4*t - 6*t + 3*u - 15, 3*t - 2*u + 15 = 0 for t. -3 Solve -4*t = 5*b, 14*t - 2*b + 18 = 12*t for t. -5 Solve 3 = -5*m + 3*b - 5*b, 0 = -5*m + b - 6 for m. -1 Solve 21*m - 26*m - 28 = -j, 3*j - 2*m - 19 = 0 for j. 3 Solve 4*k = -2*w, -2*k - 15 + 23 = 3*w for k. -2 Solve 0 = -3*h + 5*c + 14, -9*c = -13*c - 16 for h. -2 Solve 71*d - 2*l + 12 = 73*d, -5*d - 20 = -5*l for d. 1 Solve -2*g = -6*g - 2*i, -g = 3*i + 10 for g. 2 Solve -4*y + 2*k = -3*k + 6, 5*y - k = 3 for y. 1 Solve 2*u = -3*o - 17, -5*o + 4*u - 8 + 9 = 0 for o. -3 Solve 0 = 2*x + 4*u + 10, 92 = -5*x + 2*u + 67 for x. -5 Solve -4*u + 45 = 5*g, 35 = -16*u + 20*u + 3*g for u. 5 Solve 4 = -3*g + 13, -3*z - g = -3 for z. 0 Solve 4*p - 7 = g, -5*g + 3*p + 0*p - 18 = 0 for g. -3 Solve 5*k = 3*o + 9 + 1, -4*k = 4*o - 8 for o. 0 Solve -2*i - 2 = 3*v, -3*v + 17 = -2*i + 15 for i. -1 Solve -u - 6 = u - 2*j, u - 5*j = -15 for u. 0 Solve -3*r = -3*f, -2*f - 3*r + 2*r + 15 = 0 for f. 5 Solve -4*g = u, 2*u + 527 = -3*g + 522 for g. 1 Solve 3*h - 2*o + 6 = -5*o, -h = 5*o - 10 for h. -5 Solve -2*v = -14*h + 18*h - 2, -3*h = -2*v + 9 for v. 3 Solve -5*q + 2*v = 55, -65 = q + 4*q - 4*v for q. -9 Solve -3*y - 4 = 2*b, -b - 6 = -3*b + 2*y for b. 1 Solve -4*l - 6 = t + 10, -l - 5 = 0 for t. 4 Solve 0 = -2*q + 2*v - 4, 0*q - 5*v - 35 = 4*q for q. -5 Solve 9 = 5*w + r - 2*r, -4*w + 5*r = -24 for w. 1 Solve 2*v - 2*n = 2, -3*v - 5*n = 6 - 17 for v. 2 Solve -3*w = 3*t - 0*t + 12, -3*t = -4*w + 19 for t. -5 Solve -4*r - 5*h + 6 = -26, -r - 5*h = -23 for r. 3 Solve 2*b - 6*b = 5*c + 40, b + 25 = -5*c for b. -5 Solve q - 4*w = 8, -5*q - 5*w = 12 + 23 for q. -4 Solve 11*s - 10*s - 3*i + 2 = 0, -7 = -4*s - 3*i for s. 1 Solve -24 = 4*d + 3*a + 7, -35 = 5*d + 3*a for d. -4 Solve -16*u - 6 = -18*u, -s - 3*u + 4 = 0 for s. -5 Solve -11*x = -7*x + 4*w + 4, -3 = -5*x + 3*w for x. 0 Solve 7*u - 8*u = k - 6, 5*k = 25 for u. 1 Solve 0 = -4*t - 5*z + 3, z = -t - 0*z + 1 for t. 2 Solve 5*s = -3*o - 37, 24 = 24*o - 25*o - 4*s for o. -4 Solve 3*m - 31 = 5*r, 17*m + 4*r = 12*m - 10 for m. 2 Solve -2 = 3*v - 2*z, -6*z = -5*v - 11*z - 20 for v. -2 Solve 2*y = h + 11, -5*h + y = 31 - 3 for h. -5 Solve -j - 3*b = 0, 0*j + j - b = 0 for j. 0 Solve -4*v + 21 = -l, -2*l - 4 - 18 = -4*v for v. 5 Solve -3*j + 3 = 3*u, 8*j = -4
{ "pile_set_name": "DM Mathematics" }
*t + 3. What are the prime factors of t? 29 What are the prime factors of 17/(102/(-40))*(-90 - 0)? 2, 3, 5 Suppose 4*z = 5*z + 2. Let y be z/6 + (-80)/(-24). Suppose 7 + 44 = 3*k - y*c, -34 = -2*k + 5*c. What are the prime factors of k? 17 Suppose 2*j = 38 - 30. Suppose -2*h - 3*h - 20 = 0, 3*b - 292 = j*h. What are the prime factors of b? 2, 23 Let v be 378/49 + 4/14. Suppose -v*b + 0*b = -72. List the prime factors of (-2388)/(-54) + (-2)/b. 2, 11 Let s = -3 + -1. Let z be s/14 - (-5010)/(-105). Let t = -23 - z. List the prime factors of t. 5 Let k be 18/(-12) - 2/4. Let b be (-1 - 161*k) + -3. List the prime factors of b/14 - (-2)/7. 23 Suppose 0 = 4*a - 3*f - 63, -4*a - 5*f + 56 = -f. Let j be (3 - 1) + -4 - -5. Suppose j*n + 3 = a. List the prime factors of n. 2 Let m(b) be the second derivative of b**4/12 + b**3/6 + b**2 + 5*b. Let t be m(-3). Suppose j - t = 3*g - 2, -j + 6 = g. What are the prime factors of j? 2, 3 Suppose 3*j + 50 = -i, -3*j - 91 = 2*i - 0*j. Suppose 2*w + 6*f - 177 = 3*f, 5*w - 3*f = 411. Let z = w + i. List the prime factors of z. 43 Let c = 48 - 47. What are the prime factors of ((-38)/4)/(c/(-10))? 5, 19 What are the prime factors of (153381/(-116))/((-3)/8)? 2, 41, 43 Let z(r) = r**3 - 11*r**2 + 10*r - 17. Suppose 0 = 2*j - 0*j - 4, u + 3*j = 17. List the prime factors of z(u). 3, 31 Let g be (-1848)/(-35) + 5/25. Let y = 35 + 102. Suppose -2*o = -3*x - g, 6*o - 3*x = o + y. What are the prime factors of o? 2, 7 Let s(v) = v**3 + 33*v**2 + 66*v - 38. What are the prime factors of s(-28)? 2, 3, 113 Suppose 4 = -w - 3*w. Let x be 422/6 + w/3. Suppose 3*h - x = -2*h. What are the prime factors of h? 2, 7 Suppose -2*z - 2*r = -654, -4*r + 76 = 5*z - 1554. What are the prime factors of z? 2, 7, 23 Let w = 31 + -9. Suppose -w*y + 3824 = -6*y. List the prime factors of y. 239 Let b(l) = l**3 + 11*l**2 - 13*l - 57. What are the prime factors of b(-11)? 2, 43 Let y(a) = a**2 - 4*a + 28. Let w(u) = u**2 - 2*u - 3. Let h be w(5). List the prime factors of y(h). 2, 31 Let w(d) be the third derivative of d**8/10080 + d**6/180 + 7*d**5/60 + 9*d**2. Let r(u) be the third derivative of w(u). What are the prime factors of r(2)? 2, 3 Let g = 7870 - 3973. What are the prime factors of g? 3, 433 Suppose 2*r - r = 6. Let n be r/15 - (-78)/30. Suppose -1 = -n*h + 59. What are the prime factors of h? 2, 5 Suppose -v - 1 = -3*c, 6*v = 3*v + 3*c + 3. Suppose 5*n = v*n + 99. Let z = n - 9. List the prime factors of z. 2, 3 Let h be (6/4)/((-6)/12). Let v be 1 + h + 10 + -3. Suppose -3*d + i + 8 = d, -5*d + 5*i - v = 0. List the prime factors of d. 3 Let w = 375 + -255. What are the prime factors of w? 2, 3, 5 Let d(l) = 24*l - 15. List the prime factors of d(13). 3, 11 Let p(l) = l**2 - 9*l - 13. Let o be p(10). Let w be o*(-4 + (-32)/(-12)). Suppose w*n + 241 = 5*r, 3*r - 44 = 2*n + 99. List the prime factors of r. 3, 5 Suppose -5*h = c - 3*h - 688, -c + 706 = -4*h. What are the prime factors of c? 2, 347 Let s be (-1)/((2/2)/(-2)). List the prime factors of 53 + -8*s/(-4). 3, 19 What are the prime factors of (-2)/(-16)*8*533*1? 13, 41 Let i(j) be the first derivative of -j**2 + 10*j - 1. Let g be i(-5). List the prime factors of (-1)/(-5) + 396/g. 2, 5 Suppose j = -y + 692 - 144, -10 = 2*j. List the prime factors of y. 7, 79 Let o = 64 - -80. Suppose 392 = 4*q - o. What are the prime factors of q? 2, 67 Let b = 5 + 0. Suppose p = -4*g + 73 - b, 5*g - 121 = -2*p. What are the prime factors of p? 2, 3 Let d = -55 - -91. Suppose 3*h + d = 108. What are the prime factors of h? 2, 3 Suppose 0 = 4*g - 3*g - 2*k + 6, 5*k - 15 = g. Suppose 14*c - 17*c + 114 = g. What are the prime factors of c? 2, 19 Let g(s) = 2*s**2 + 4*s + 3. Let p be g(-2). Suppose y + 195 = a - y, 982 = 5*a - p*y. What are the prime factors of a? 197 Let i(h) = 9*h - 15. Let v(z) = -2*z**3 + 6*z + 7. Let a be v(-2). What are the prime factors of i(a)? 2, 3, 7 Let i(t) be the second derivative of t**3/6 + 2*t**2 - 5*t. Let d be i(-3). Let b(a) = 47*a + 2. What are the prime factors of b(d)? 7 Let a(y) = -5*y - 1. Let s be a(-1). Suppose 6 + 30 = s*c. What are the prime factors of (-2)/(-8)*(3 + c)? 3 Let p(o) = o**3 - 8*o**2 - 6*o + 4. Let j be 2/5 - 112/(-20). Let v be p(j). Let g = v - -159. List the prime factors of g. 5, 11 Suppose x = 4*t + 6*x - 1064, -3*t + 787 = x. List the prime factors of t. 3, 29 Let i be (45/(-27))/((-2)/(-6)). Let j(y) = -4*y**2 + y + 3. Let q be j(3). List the prime factors of i*124/q*3. 2, 31 List the prime factors of 28*(-27)/18*-37. 2, 3, 7, 37 Let a(h) = h - 7. Let d be a(10). Suppose -3*f + 10 - 1 = 0. Suppose -d*w = -4*x + 96, 5*x + 0*x - 123 = f*w. List the prime factors of x. 3 Suppose 65*y = 73*y - 3896. What are the prime factors of
{ "pile_set_name": "DM Mathematics" }
is 66*(-90)/50490*782*1? -92 (37/((-21238)/205))/((-1)/2) 5/7 Calculate (-173)/((-23528)/272)*2/(-43). -4/43 16/(-20)*429/104*20*(-8)/24 22 What is the value of ((3/(-4))/(27/(-24)))/((-57)/(-192888)*48)? 47 Calculate ((-837)/(-19344))/(264/(-286)). -3/64 Calculate (-50022)/72254*(-2)/12. 3/26 What is ((-3)/45)/((-1756)/(-368760))? -14 What is 3*(-8)/4*310/(-155)? 12 30/4*((-9328)/742)/(-44) 15/7 Evaluate ((-14)/203)/(485/(-42195)). 6 What is (-1005)/(-603)*(-7)/70*-132? 22 What is the value of (36/(-42))/((-435)/145*(-423)/(-21))? 2/141 What is ((-16)/((-5856)/671))/((-1)/(-32)*28/21)? 44 (11/(-10))/(990/1650) -11/6 What is ((-7944)/6951)/((-5)/((-60)/(-7))*(-88)/(-196))? 48/11 Calculate ((-19926)/4059)/(-7*21/(-1078)). -36 Evaluate (-24)/2*620/2232*21. -70 Evaluate (-4)/(-6)*55*348/(-9280). -11/8 Evaluate (300/(-3825))/((-525)/(-5950)). -8/9 Calculate ((-2813304)/1270)/213*30/8. -39 What is the value of (36/252)/(((-2016)/490)/(-24))? 5/6 What is the value of 35/(16/((-576)/(-36)))? 35 Evaluate -25*180/750*(3/1)/(-156). 3/26 What is 48/(-74)*6179/(-334)? 12 (-1*54/(-5))/(-13*28/(-910)) 27 Evaluate ((-86)/14)/((-155)/(-4340)*1*4). -43 What is (-5)/((12/(-36)*(-3)/7)/((-510)/(-2975)))? -6 What is the value of 135/90*((-78)/(-4))/(-1)*(-516)/1118? 27/2 What is the value of (-8*64/10752)/((-4)/16)? 4/21 What is (420/(-392)*-49)/(5*(-9)/(-30))? 35 Evaluate (128/144)/(232/290). 10/9 Evaluate 36*(-24)/9504*(-12)/150. 2/275 What is (((-2322)/1935)/(((-12)/45)/(-2)))/(3/18)? -54 (40/104)/((-5)/(-2)) 2/13 Calculate (-213)/3479*5/((-900)/(-70)). -1/42 ((-68925)/74439)/((-4)/(-108)) -25 What is the value of ((-10808)/6176)/(((-12)/200)/(36/15*-1))? -70 Evaluate ((-14)/((-6888)/(-12177)))/((-18)/16). 22 Calculate -4*(-3)/(-13)*1119144/(-459136). 9/4 Calculate ((3/(-15))/(154/220))/((-192)/(-56)). -1/12 What is (33/(-44)*-16*22/(-44))/(4/18)? -27 What is the value of ((-135)/(-24))/(57*35/(-1330))? -15/4 Evaluate (328265/(-37516))/((-14)/(-88)). -55 Calculate 96/(-552)*966/(-924). 2/11 Evaluate (3476/(-19118))/((-8)/(-1078))*-6. 147 What is the value of ((-3)/(150/(-184)))/(177/(-590)*(-136)/51)? 23/5 What is (-6)/(-9)*(18603/(-424))/(-13)*1*2? 9/2 Calculate ((-102)/10)/((-915)/(-2135)*14/(-30)*1). 51 (24/(-10))/(-6)*125/(-285)*9/(-15) 2/19 What is ((-6)/9*1)/(((-4)/(-13))/(106/(-689)))? 1/3 ((-1)/3)/(17427/(-348540)) 20/3 Evaluate ((-122)/915)/((-24)/((-4320)/5)). -24/5 Calculate 5786/11572*(-15)/40. -3/16 15126/7563*22/4 11 What is 4/(-6)*-3*(-48)/(-36)*420/(-40)? -28 What is 3/6*-4*145/(-10)? 29 What is (-4368)/(-10920)*(-5)/(-12)*20/6? 5/9 What is the value of ((7208/102)/(-53))/((-4)/(-177))? -59 Evaluate 13/(-2)*(-3308594)/320983. 67 Evaluate 30/2*(-656)/(-48)*(-805)/(-1435). 115 What is ((-7)/(63/12))/((-1280)/2880)? 3 What is (32/(-128))/(14/(-4))*23*424/18285? 4/105 What is the value of -44*1/(-6)*((-2736)/(-33))/19? 32 ((-113)/(3562551/452))/((-2)/(-3)) -2/93 What is the value of (-402)/804*(204/5)/(((-63)/(-30))/7)? -68 Calculate ((-4)/(-16))/((-2)/((-24)/9))*(-436608)/6064. -24 Evaluate (-105)/(23230935/244)*(-54)/12. 2/403 What is the value of 66/(-4)*(-670)/(-7370)*30? -45 Evaluate (8*9/720*(-12)/11)/(6/75). -15/11 Calculate ((-574)/(-82)*(-3)/42)/(1/(-102)). 51 What is (-2944)/(-184)*(-1)/((-20)/(-85))? -68 What is 30/((-203)/(296786/(-516)))? 85 2*-152*(-51)/(-3264) -19/4 What is the value of 56/(11088/(-66))*(-328)/(-8)? -41/3 What is the value of -1*15*-1*80/8*15/125? 18 What is the value of 5080/(-254)*(-8)/176? 10/11 Calculate (-6)/(-160)*23472/16137. 3/55 (-6*6/(-8))/(-9*151/8154) -27 What is the value of -26*((-10197)/(-103))/(-99)? 26 Calculate (((-8)/(-150))/(42/(-15)))/(4*(-2)/(-40)). -2/21 What is the value of 2*(-117)/(-7761)*(-3)/9? -2/199 What is the value of (43*32)/(-4)*1994/(-7976)? 86 (2475/1650)/((-1)/((-16)/68)) 6/17 What is the value of 0/(-27*(-114)/1539)? 0 What is the value of (68*(-17)/340)/(1/2)? -34/5 Evaluate ((-7434)/4543)/((-78)/2431). 51 What is 13/(91/(-35))*10/(-765)*24/40? 2/51 What is the value of (-13)/((-325)/12)*-3*((-285)/(-126))/(-19)? 6/35 (-13667)/(-173)*(-4)/(-4)*-1 -79 Calculate (20/2)/((2*(-8)/114)/(6288/(-4716))). 95 What is (-11)/(-2)*((-18460)/7865)/71? -2/11 Evaluate ((10/(-150))/((-3)/(-387)))/((-46)/(16100/(-105))). -86/3 What is the value of (968300/(-184))/(-421)*88/(-10)? -110 What is the value of 2/(58*18/10962)? 21 Evaluate (-10)/5400*-20*12/(-2)*13455/65. -46 What is (56/252*-9)/((-24)/(-30))? -5/2 What is 7/(-3)*(-22020)/20552*12/(-1665)? -2/111 What is the value of (((-196)/(-14406))/((-17)/(-476)))/((-10)/28)? -16/15 Evaluate 7/30*215/((-70735)/(-564)). 2/5 What is the value of ((-7)/70)/(3718/1144)? -2/65 What is the value of (4620/(-784))/33*2*7? -5/2 (47/((-47)/(-6)))/((-290)/4205) -87 Calculate ((-528)/(-54))/(((-310)/45)/31). -44 Calculate 2/(-616)*22*(-14)/(-20). -1/20 (
{ "pile_set_name": "DM Mathematics" }
4*j + 4*b = -12. Suppose 0 = t + j - 4. Is 1 at least t? False Suppose -4*m - 2*g + 22 = -16, 3*g - 46 = -5*m. Is m smaller than 7? False Let q = 259/2169 - 2/241. Let h = -36 + 36. Is q at least as big as h? True Let a = 5 - 3. Suppose -2*i + 4*i + 3*v - 14 = 0, -v = -i + a. Let t be (1/(-3))/(2/(-30)). Is i at most t? True Let o be -3 + 3 + -3 - 3. Let x be (2/6)/(o/18). Which is smaller: 0 or x? x Suppose w - 3*s - 2 = 0, -s = -w - 4*w + 10. Let z(k) = 1 + 0*k**2 - 2 + k**w - 3. Let a be z(3). Is a < 4? False Let y = -4 + 6. Let w = -2 + 5. Suppose y*q = w*q + 4. Which is bigger: q or 1? 1 Let u(f) = 2*f**2 - 12*f + 24. Let a be u(5). Is 14 smaller than a? False Let l(u) = 8*u**2 + 5*u - 4. Let z be l(-3). Which is smaller: z or 52? 52 Let w = 8/137 - 6100/1233. Which is smaller: w or -5? -5 Let c be (30/(-25))/((-6)/15) + -2. Is 7/12 equal to c? False Let u be 10/(-22)*(-16)/10. Let i = u - 18/55. Let k = -0.9 - -0.6. Is i < k? False Let u be (-2 - 1) + 100/34. Is 0 <= u? False Suppose 2*o + 13 = 3*l, 5*o - 2*l = -4 - 1. Suppose 3 = -4*d - o. Suppose -5*b + 3 = 2*z, 6 = -b + 2*z - 3. Is b at least as big as d? True Let i be (2/4)/(0 + 1). Let v = -6 + 8. Suppose -v*s = -s - 1. Does i = s? False Let f be (-8)/(((-3)/(-6))/(-1)). Suppose 20*g + 40 = f*g. Which is greater: g or -9? -9 Let v = 18 + -1. Let n = v + -21.4. Let y = n + 4. Is -1 greater than or equal to y? False Let i(p) = 3*p - 6. Let r be i(4). Let q = r - 6. Do 2 and q have different values? True Let d = -35 + 37. Suppose a = -0*a + 2. Suppose 0*w = 5*w + a*z - 7, -2*w - 2*z = -4. Is d at least w? True Suppose 4*m = 7 + 21. Let g(t) = t**3 - 8*t**2 + 6*t + 2. Let d be g(m). Do -6 and d have the same value? False Let q = 0.047 - -0.253. Which is greater: q or 9? 9 Suppose -2*s = 2*z + 1 - 7, -5*s - 6 = -2*z. Let h = 11/5 - 28/15. Is h less than or equal to s? False Suppose g + 3*x + 0 = 1, -x = -4*g - 48. Is -11 > g? False Let l = 9 + -26. Let m = l - -17.05. Let x = 4 - 3. Which is smaller: x or m? m Let q = 0.14 - 0.14. Let k = 0.06 - -2.94. Is k at least q? True Suppose 0 = -3*v + 15, -5*g - 11*v - 25 = -16*v. Let i = 3839/14 + -274. Is i equal to g? False Suppose -r + 4*c + 10 = 0, -5 = 3*r + 4*c + 13. Let p = r + -1. Let o be (p/36)/(1/(-3)). Do 1 and o have the same value? False Let l = 30 + -39. Is l less than -41/5? True Let m(q) = -q**2 + 4*q + 5. Let k be m(5). Let w be (-27)/(-15) + (-2)/(-10). Suppose -4*c + 3*n + 17 = -w*c, c = 4*n + 21. Is c > k? True Let f be ((-12)/(-15))/(6/(-15)). Let c = 2 + f. Which is greater: c or -1? c Suppose -9 = n - 3*i, -i - 2*i - 3 = -3*n. Suppose 4*k + 20 = -2*b, -n + 1 = -b + k. Which is bigger: b or 1/2? 1/2 Let f = -7 + 4. Let q(y) = -y + 3. Let z be q(6). Is f equal to z? True Let r = 54 + -26. Are 1/3 and r nonequal? True Let d(g) = -7*g - 13. Let k(x) = 3*x + 7. Let q(f) = -4*d(f) - 9*k(f). Let r be q(9). Which is bigger: r or 1? 1 Let i = 0.074 + 0.126. Are -2/9 and i non-equal? True Let z = 37219834/13148265 + -2/202281. Let l = 42/13 - z. Let q be (1/(-5))/((-2)/5). Which is greater: l or q? q Let w = 2/783 - 3158/10179. Is w at most as big as 1? True Let g = 0.1 - -0.1. Let d = g - 0.4. Is 0 not equal to d? True Let z(h) = h**2 + 4. Let n be z(-4). Let r = -29 + n. Let m be (-3)/r + -2 + 1. Is 0.1 > m? True Suppose -3*c + 7*c = 8. Suppose 3*n - c = 1. Which is smaller: 2 or n? n Let y = 2 + -8. Let q = -6 - y. Suppose 0 = 4*m - 3*t - 10, t + 3*t + 8 = 0. Which is smaller: m or q? q Let r be -3 + 3 - -17 - 1. Let y = -16 + r. Let b = 3 - 2. Which is smaller: y or b? y Suppose f = 4*t + t + 6, f - 3 = 2*t. Is t at least -2/61? False Let k = -11 + 7. Let l = 6 + k. Which is greater: l or 1/2? l Let d = -1 + -1. Let s = 3 + d. Suppose -n - 8 = -3*j, -3*n - 1 - 5 = -3*j. Is s bigger than n? False Let f = -0.02 + 2.02. Let l = f - 4. Let q = 1 + l. Which is bigger: q or -3/4? -3/4 Let h = 14 + -10. Suppose h*v - 4*q = v - 6, -v + q = 2. Is -4 equal to v? False Let j be (4/(-12))/((-2)/18). Suppose -3*s - 3*f - 2 = 7, j*s - 2*f - 16 = 0. Suppose 6*a + 7 = s*a + 3*q, -a + 3*q = -5. Is -3 < a? False Let n = 5188/21 + -247. Which is smaller: n or -1? -1 Suppose -3*g - 3 = 6. Which is greater: -1 or g? -1 Let t = 27 - 18. Let g(q) = -q**3 - 5*q**2 - q + 8. Let r be g(-6). Let h be 2/t - r/(-18). Do 3 and h have the same value? True Let r = 405/88 - 39/8.
{ "pile_set_name": "DM Mathematics" }
c - 17. Let j be b(-3). Calculate the highest common divisor of 61 and j. 61 Suppose d - 2*d = -132. Let s(t) = t**2 - 3. Let a be s(6). What is the highest common divisor of d and a? 33 Suppose -80*f + 4797 + 1283 = 0. Let n(a) = a**2 + 3*a + 1. Let c be n(3). Calculate the highest common factor of f and c. 19 Let v be (-1)/4 + (-35050)/(-40). Let h(x) = 7*x + 1. Let t be h(-1). Let i be v/36 + (-4)/t. Calculate the highest common factor of 10 and i. 5 Let g(v) = -v**3 + 5*v**2 + 8*v - 6. Let f be g(5). Let m be (2 + (-123)/82)/((-1)/(-34)). Calculate the highest common factor of f and m. 17 Let d be (-8)/80*-305*62. What is the greatest common factor of 31 and d? 31 Let f(k) = -k**3 - 18*k**2 - 28*k + 122. Let h be f(-16). What is the highest common divisor of 1450 and h? 58 Let y = -380 + 416. Calculate the highest common factor of y and 396. 36 Let p = 1743 - 1696. Calculate the greatest common factor of p and 188. 47 Suppose 10 + 30 = 5*c. Suppose -12*a = -c*a - 140. Calculate the highest common factor of 7 and a. 7 Let x = -75 + 67. Let q be (-1 + (-4)/x)/((-3)/60). Calculate the greatest common divisor of q and 20. 10 Let s be (692/(-2))/(-2) + 1 - 4. Calculate the highest common factor of s and 68. 34 Suppose 16*a - 638 = 66. Calculate the greatest common factor of 99 and a. 11 Let u = 300 - 289. Let p(c) = 40*c**3 - 1. Let m be p(-1). Let h = m + 74. What is the highest common divisor of h and u? 11 Let i be -4 + 1 - -14 - 1. Let m = 16 - i. Suppose m*r + r = 756. Calculate the highest common divisor of r and 27. 27 Let c be ((4190/6)/(-5))/(2/(-6)). Suppose -c = 12*h - 1643. Calculate the greatest common factor of h and 17. 17 Let q(r) = -11*r - 44. Let m be q(-5). What is the highest common factor of m and 187? 11 Let a = 361 + -339. What is the greatest common divisor of a and 2486? 22 Let r = -1199 - -1899. Calculate the highest common divisor of r and 28. 28 Suppose 2*n = -p + 491, -5*p + 495 = 2*n - 0*p. What is the highest common factor of n and 70? 35 Let c(s) = -s**3 + 7*s**2 - 5*s + 8. Let m be c(6). Let u be 4/(-8) - 89/(-2). Suppose u*l - 49*l + 70 = 0. Calculate the greatest common divisor of l and m. 14 Let j be 4/(-5) - (-718)/10. Suppose -74*p + j*p + 21 = 0. What is the highest common divisor of 35 and p? 7 Suppose 0 = 5*u - 6*u - 56. Let c be u/((-3 - -1)/2). What is the greatest common factor of c and 8? 8 Let m(g) = g**3 + 12*g**2 - 13*g + 1. Let r be m(-13). Let j be (-11 + 53)/(((-2)/r)/(-2)). Calculate the highest common divisor of 105 and j. 21 Let t = -775 + 831. Calculate the greatest common divisor of 32 and t. 8 Suppose 119*g = 124*g - 1155. What is the highest common factor of g and 14? 7 Suppose -12*t = 3*t. Let j be 165/(-10)*(2/(-3) - t). What is the greatest common factor of j and 286? 11 Let c(b) = b**2 + 2*b + 3. Let a be c(0). Suppose 5*f - a*y - 76 = 6, 5*f = -y + 66. What is the highest common divisor of 14 and f? 14 Suppose 5*u - 2*v - 3*v + 5 = 0, 3*u - 4 = -4*v. Suppose 3*b + 113 = i, u*i + 4*b = -3*i + 274. Calculate the greatest common divisor of 42 and i. 14 Let r(w) = -w**2 + 2*w + 5. Let p be r(3). Suppose p*b + 56 - 272 = 0. What is the highest common factor of b and 12? 12 Let c(w) = -w + 25. Let f be c(21). Suppose -f*m = -324 - 12. Calculate the greatest common factor of 28 and m. 28 Let u be (169/(-39) - -5) + 61/3. Let t be (-6)/(-4)*6/(-1). Let j = t + u. Calculate the highest common factor of 48 and j. 12 Suppose -4*q + 337 = -283. Let z be ((-40)/(-12))/(q/(-165) - -1). What is the highest common factor of 10 and z? 5 Let q(l) = -20*l - 3. Let m be q(-5). Let k = -687 + 949. Let b = k - m. What is the highest common factor of b and 15? 15 Suppose f - 151 = 137. Calculate the greatest common divisor of 32 and f. 32 Let j = 41 - 59. Let o = 18 + j. Suppose o = -3*a + 2*q + 3, -2*a + 2 = 2*q + 3*q. What is the greatest common factor of a and 2? 1 Let p be 3*1948/12 - -10. What is the greatest common divisor of p and 7? 7 Let t = -80 + 113. Let n = -15 + t. Let j be -1*9*54/(-3). What is the highest common divisor of j and n? 18 Let u(h) = -4*h - 1. Let k be u(-2). Suppose 24 = k*m - 6*m. What is the highest common divisor of m and 96? 24 Let p be (-22)/6 + (-2)/6. Let j(z) = -z**2 - z - 4. Let h be j(-4). Let n be (-75)/(p/h*-2). Calculate the greatest common divisor of 30 and n. 30 Suppose -2*h = 2, -2*i + 3*h + 12 + 1 = 0. Suppose 5*q + 38 = -3*k - i, 5 = -q. Let o be (-4)/6 + (-136)/k. Calculate the greatest common factor of o and 110. 22 Suppose -13*f = -f - 996. Let d = -69 + f. Calculate the greatest common divisor of 14 and d. 14 Let v(g) = g**3 - 7*g**2 + 4*g. Let i be v(3). Let y = -24 - i. Let m(q) = -2*q + 11. Let s be m(y). What is the greatest common factor of 11 and s? 11 Let r = -56 - -32. Let u be (17*6/24)/((-2)/r). What is the highest common factor of 34 and u? 17 Let j(c) = c**3 - 3*c**2 + 4*c. Let d be j(3). Calculate the greatest common divisor of 132 and d. 12 Let t(a) = -a + 4. Let f be t(0). Let u = f - 1. Let q(h) = 32*h - 5. Let y be q(1). What is the greatest common divisor of y and u? 3 Let q(l) = l**3 - 7*l**2 + 4*l + 1. Suppose -4*j = -8*j + 20. Let d be q(j). Let s = d - -49. Calculate the greatest common factor of s and 160. 20 Suppose v - 36 = 6. Let w = -40 + v. Calculate the highest common divisor of 18 and w. 2 Let y(f) = -f**2 + 11*f - 4. Let m be y(10). Suppose -92 - 1096 = -m*i.
{ "pile_set_name": "DM Mathematics" }
00. -60000 Let k = -0.3 - -0.1. Let w = 0.15 + k. Let a = w + 0.0454. Round a to three decimal places. -0.005 Let v = 5.543 - -0.057. What is v rounded to zero decimal places? 6 Let m(r) be the second derivative of 245*r**4/6 + 7*r. Let q be m(-1). Round q to the nearest 100. 500 Let q = -0.1032 - 685.8968. Let h = -370 - q. Let k = -314.71 + h. What is k rounded to one dp? 1.3 Let p(g) = -530*g**3 - 6*g**2 - 2. Let d be p(5). Let c be (-5)/(-10) - d/(-4). What is c rounded to the nearest 1000? -17000 Let i = 12.6 - 13. Let v = i + 0.399966. What is v rounded to five decimal places? -0.00003 Let u = -3.503 + 0.203. What is u rounded to one decimal place? -3.3 Let z = 0.16 + -0.1587. What is z rounded to 3 decimal places? 0.001 Let p = -0.31 - -13.31. Let a = p + -4. Let r = 9.00072 - a. Round r to four decimal places. 0.0007 Let o = 1528951.0000104 + -1528949. Let i = o - 2. Round i to 6 decimal places. 0.00001 Let x = -2 + 1.86. Let k = -0.1 - x. Let b = k + -0.04000067. Round b to 7 dps. -0.0000007 Let t = 0.1836 + -0.18. What is t rounded to 3 dps? 0.004 Suppose 0 = -0*s + s - 1232919. Let d = 842919 - s. Round d to the nearest 100000. -400000 Let g = 60.7 - -9.3. Let d = g - 69.805. Let q = -0.2 + d. What is q rounded to 2 decimal places? -0.01 Let x(y) = 80003*y + 15. Let g be x(-5). Round g to the nearest 1000000. 0 Let z = 10 + -17. Let w = 6.98 + z. Round w to two dps. -0.02 Let v = -0.061 - 4.039. Let z = v + 4. Let q = 0.09999998 + z. Round q to 7 dps. 0 Let t(p) be the first derivative of p**4/4 - p**3/3 - 7*p**2/2 - 5*p + 8. Let w be t(-4). Round w to the nearest 10. -60 Suppose 2*u - 3*u + 171600 = -3*z, 4*z = 2*u - 343190. Suppose x = -2128415 - u. Round x to the nearest 1000000. -2000000 Let p = 59.9999897 - 60. What is p rounded to six decimal places? -0.00001 Let b = -8 - -11. Let z be 6 - 4 - 0/(-3). Suppose 2*k = -0*k - z*v - 1199990, -5*k = b*v + 2999985. What is k rounded to the nearest one million? -1000000 Suppose -u + 6*u = 0. Suppose -f = -u*f. Suppose h + f*r - 128 = -2*r, -3 = -3*r. What is h rounded to the nearest ten? 130 Let d = 200 + -84. Suppose 1084 - 148 = -4*x. Let v be (-1)/(x/d + 2). Round v to the nearest 10. 60 Let m = -18 + 71. Let y = m - 53.041. Round y to 2 dps. -0.04 Let t = 29178 - 7508. Let b = t - 1670. Round b to the nearest 100000. 0 Let h be 6 + ((-32)/(-2))/(-4). Suppose c = -4*x + 63996, 2*x = -h*c - x + 127997. What is c rounded to the nearest 10000? 60000 Suppose -4*o = 2*r + 1531524, -765766 = 2*o - r - 0*r. Let k = o + 2434746. Let y = k + 1448136. What is y rounded to the nearest one million? 4000000 Let n(y) = 2*y**3 + 10*y**2 + 8*y - 7. Let b be n(8). Suppose 0 = -4*s - 8279 - b. What is s rounded to the nearest one thousand? -3000 Let r(x) = 3 + 3*x + 3 + 2*x**2 + 1605*x**3 - 2. Let b be r(4). Let g = b + -176768. Round g to the nearest 10000. -70000 Suppose -4*r + 4*v - 20 = 0, -4*v = -9*v + 25. Suppose 2*g - g + 10 = r. Let k be (-620004)/g - (-2)/(-5). What is k rounded to the nearest ten thousand? 60000 Let z(s) = 4928*s**2 - 262*s**2 - s + 2*s + 3. Let k = 3 - 0. Let o be z(k). Round o to the nearest ten thousand. 40000 Let v = -1.00128 - -1. What is v rounded to four dps? -0.0013 Let v(s) = -2 - 15*s + 2 + 6*s - 62964*s**2 + 3. Let n be v(-9). What is n rounded to the nearest 1000000? -5000000 Suppose 5*q - 3*o = -2699997, 2*q + 0*o = 2*o - 1079998. What is q rounded to the nearest 10000? -540000 Let v = -336 + 227. Let s = -109.0000059 - v. Round s to 6 dps. -0.000006 Let k(p) = -7*p - 28*p - 41*p + 16. Suppose 5*m = 49 + 6. Let w be k(m). What is w rounded to the nearest 100? -800 Let z be (-4)/5*5/(-2). Let t be -5 + z - (-2 - 1). Suppose t = m - 2*q + 5*q + 13, -m - q - 11 = 0. Round m to the nearest ten. -10 Let f be 1*(174/(-3))/(-1). Suppose -5*w + f = -17. Let d be 2/(-5) - (-2106)/w. What is d rounded to the nearest 100? 100 Let m = 3.11 - 3. Let v = 6.97 - 7. Let n = m + v. What is n rounded to one decimal place? 0.1 Let c = -1.71 + 1.710000522. Round c to seven dps. 0.0000005 Suppose 10 = 7*t - 5*t. Suppose -t*y + 5*h = 25, -3*y + 2*y - 3*h = -11. Let q be (-1)/y - (6397 + 4). Round q to the nearest 1000. -6000 Let n(o) = -60014*o + 84. Let v be n(6). Round v to the nearest one hundred thousand. -400000 Let f = 841 + -840.423. Round f to 1 decimal place. 0.6 Let m = -3.3634077 + -0.0367223. Let l = m - -3.4. Round l to four dps. -0.0001 Suppose -q - 3 + 0 = -4*c, 4*q = c + 48. What is q rounded to the nearest 10? 10 Suppose 0 = -0*h - 3*h + 3. Let v(p) = -9*p**3 + p. Let x be v(h). Round x to the nearest 10. -10 Let k be 232/28 - 4/14. Let g be 3 + -2 + (k - 3). Let o be 2/(4/g) - 12300003. What is o rounded to the nearest 1000000? -12000000 Let y = 8 - 5. Suppose -36 = -2*n - y*n - 4*f, -2*f + 28 = 5*n. Suppose -n*k - 188980 = -3*i, 2*i - k = 4*k
{ "pile_set_name": "DM Mathematics" }
11733.4 What is -667770 plus 18.2? -667751.8 What is -194499.2989 - 0.9? -194500.1989 29866 - -684 30550 Work out 4 - 0.1423356. 3.8576644 What is -0.2 less than -65350167? -65350166.8 -0.4+46004615.04 46004614.64 What is 599587163 less than 7? -599587156 Total of -2.2167508 and 14. 11.7832492 What is 65249 + 45380? 110629 What is -0.1221862 - 15? -15.1221862 What is -412133 minus 8883.2? -421016.2 What is the difference between 2456.30383 and -0.5? 2456.80383 -599659 + 38.975 -599620.025 What is the distance between 81.247 and 3.681? 77.566 Work out 0.53795 + -0.02709. 0.51086 What is -3379240 plus -0.54? -3379240.54 Calculate -8535612 - -1.2. -8535610.8 What is -9 take away -1.2329531912? -7.7670468088 What is -0.07 take away -1282948114? 1282948113.93 What is 0.1232 less than 1224601? 1224600.8768 What is -4 + 5.414934? 1.414934 -0.2 + 14568237469 14568237468.8 What is -0.18 - -5.6620839? 5.4820839 Calculate -3 + 437966132. 437966129 0.08224 - 0.09 -0.00776 What is -1258 plus -51.06? -1309.06 Put together 19 and 954558. 954577 What is 0.2 plus -300502.4029? -300502.2029 Work out -0.45 + 343.456776. 343.006776 -1.38+0.03629 -1.34371 Work out 6 - 2493151.6. -2493145.6 Subtract -0.009613852 from -5. -4.990386148 What is -3180 + 3579.88? 399.88 -218209944 - -15 -218209929 -81.15379735 - -0.3 -80.85379735 What is 2819.2049 minus 20? 2799.2049 Add together -9.19 and 2.266. -6.924 253134745+0.19 253134745.19 Calculate -247246.595 + 0. -247246.595 Add together 166.36 and 0.1676. 166.5276 What is -9 - 1955729713? -1955729722 What is -4160.26 take away 18995? -23155.26 Add -7412 and 59306. 51894 -2983.7 + -2681 -5664.7 Subtract -3 from 3541.8217622. 3544.8217622 Subtract -1.285194 from -201.6. -200.314806 What is -28 + 68.51662? 40.51662 7+-1.23565186 5.76434814 Calculate 2.1 + -230117. -230114.9 Calculate -37.5 - -1419883. 1419845.5 Work out -20 - 220612. -220632 462988 - -0.0455 462988.0455 Calculate -183382789 - 99. -183382888 -75.7 + -6.6479 -82.3479 0.395 - -178592 178592.395 Calculate 0.3 - 366388447. -366388446.7 Add together 0.069689 and 128449. 128449.069689 Put together 5016 and 114662. 119678 Subtract -25551.03101 from 0.4. 25551.43101 What is -0.1 minus -0.565593074? 0.465593074 What is 15454.395463 plus 4? 15458.395463 1.9918274 - 3 -1.0081726 -2277 + 9581473 9579196 Work out -2389.846 - 21.6. -2411.446 Put together 0.29536 and -0.75. -0.45464 What is the distance between -4803422 and 97.8? 4803519.8 Work out 297 + -0.1848721. 296.8151279 What is 1823 - 0.0643399? 1822.9356601 Work out 0.2 - -95834325. 95834325.2 Work out 5844646401 - 0. 5844646401 What is 0.02 - 0.35594673? -0.33594673 Calculate 1477 - 1.10162. 1475.89838 What is the difference between -4 and 757271? 757275 What is the difference between -0.4 and -16996922? 16996921.6 What is -39171 - -1218? -37953 What is 279299 - -35343? 314642 What is -0.006 + 777.631247? 777.625247 1330.7 - 19508.38 -18177.68 Work out 0.636 + 29824. 29824.636 Add -106 and 108355440. 108355334 What is the distance between -12.74412 and -0.49339? 12.25073 Calculate 368244487 + -25. 368244462 What is 79 + -9050033? -9049954 Work out -1775.28594 + 0.067. -1775.21894 -9.8 - 740957 -740966.8 Total of -0.08 and 99544770. 99544769.92 What is -1.28 plus -7026? -7027.28 -6.04946+-3.48 -9.52946 Calculate -18874 - -496. -18378 What is -164706 take away -9.52? -164696.48 What is 6.34 take away 1151183? -1151176.66 Subtract 5.3 from -0.8885828. -6.1885828 What is -208 + -1004534? -1004742 Add -928844866 and 22. -928844844 Calculate 0 - 8964.205. -8964.205 What is 20.19408021 less than 10? -10.19408021 0.2+-512700486 -512700485.8 Work out -0.0084133 - 499.7. -499.7084133 Calculate 0.02014 - -242.525. 242.54514 5585901721+-3 5585901718 -1 - -2033604635 2033604634 Put together -1308764138 and -3. -1308764141 What is 3877680 less than 66.3? -3877613.7 What is the distance between 1078.68 and 61069? 59990.32 What is -0.9 + -212045400.5? -212045401.4 Add -1 and 16.6803. 15.6803 What is -16046895 + -0.3? -16046895.3 What is -3007775232 minus 0.5? -3007775232.5 What is -910.653 take away 16.519? -927.172 What is -13.89 less than 72951? 72964.89 What is 666.0622 less than -213.5? -879.5622 Work out -7435811225.3 + -0.1. -7435811225.4 Work out 0.047 + -448071876. -448071875.953 Put together 14.8666502 and 18.4. 33.2666502 Add together -957.29 and 0.
{ "pile_set_name": "DM Mathematics" }
rms in -2*b - 4*b - 3*b + 16*b. 7*b Collect the terms in -15*c**3 - 38*c**3 + 3 + 12*c**3 - 17*c**3. -58*c**3 + 3 Collect the terms in -2*m - 876*m**2 + 290*m**2 - 1306*m**2 + 4*m**2. -1888*m**2 - 2*m Collect the terms in 0*x - 15*x - 13*x - 9*x. -37*x Collect the terms in 2341 - 2341 - v. -v Collect the terms in 0 - 4 + 2*i**2 + 2*i**2 - 3*i**2. i**2 - 4 Collect the terms in 4*x - 11*x - 10*x + 15*x. -2*x Collect the terms in -181*h - h**3 + 181*h. -h**3 Collect the terms in -89492 + l**2 + 89492. l**2 Collect the terms in -94*m**3 + 189*m**3 - 88*m**3. 7*m**3 Collect the terms in -3 + 4*n + 4*n - 2*n - 9*n. -3*n - 3 Collect the terms in 1332 + 5*t**2 - 1332 - 3*t. 5*t**2 - 3*t Collect the terms in 7*d**3 - 5*d**3 + 3*d**3. 5*d**3 Collect the terms in 60*x**3 + 24*x**3 - 112*x**3. -28*x**3 Collect the terms in 773*u**3 + 761*u**3 - 1532*u**3. 2*u**3 Collect the terms in 21 - 35 + 14 - 5*j. -5*j Collect the terms in -7*a - 3*a**3 + 8*a**3 - 15*a**2 + 7*a. 5*a**3 - 15*a**2 Collect the terms in -417*l + 220*l + 211*l. 14*l Collect the terms in -2 + 213*t**3 + 2 - 216*t**3. -3*t**3 Collect the terms in -46*o**3 + 416*o**3 + 144*o**3. 514*o**3 Collect the terms in 0*r + 4*r - 5*r + 3*r. 2*r Collect the terms in -8*z**2 + 1200*z - 1200*z. -8*z**2 Collect the terms in 17 + 4*l - 3*l - 7. l + 10 Collect the terms in -1685 + 1685 + o**2. o**2 Collect the terms in -22*d**2 + 3*d**2 + 4*d**2 + 5*d**2. -10*d**2 Collect the terms in -9*d**2 + 11*d**2 + d - d. 2*d**2 Collect the terms in -8*q**2 - 84 + 84 + 9*q**2. q**2 Collect the terms in 18*b**2 - 5*b**2 - 5*b**2. 8*b**2 Collect the terms in -23*t**3 - 16*t**3 - 24*t**3 + 54*t**3. -9*t**3 Collect the terms in -2*l**2 - 29*l**3 - l**2 + 2*l**2 - 41*l**3. -70*l**3 - l**2 Collect the terms in -102*w**3 + 461 - 461. -102*w**3 Collect the terms in 3*u + 3*u + 4*u - 8*u. 2*u Collect the terms in 7*z - 6*z**2 + 26*z - 33*z. -6*z**2 Collect the terms in -7*f - 11*f + 18*f - 3*f**2. -3*f**2 Collect the terms in 179*x**3 - 346*x**3 + 184*x**3. 17*x**3 Collect the terms in -30*b - 3*b**2 - b**2 + 3*b**2. -b**2 - 30*b Collect the terms in 5*q**2 - 15*q**2 - q**2. -11*q**2 Collect the terms in 451*z**3 - 880*z**3 + 384*z**3. -45*z**3 Collect the terms in -6*i - 174206 + 174206. -6*i Collect the terms in 5 - 5*g**3 - 4 - 1. -5*g**3 Collect the terms in -106*v**2 + 107*v**2 - 63*v - 48*v. v**2 - 111*v Collect the terms in 10*z**3 - 4*z**3 - 9*z**3. -3*z**3 Collect the terms in 63*k**3 + 27 - 27. 63*k**3 Collect the terms in 15280 + 4*p**3 - 15280. 4*p**3 Collect the terms in 3*w**2 + 4*w**2 + 5 + 0*w**2 - 5*w**2. 2*w**2 + 5 Collect the terms in -x**2 + 166 - 166 - 5*x**2. -6*x**2 Collect the terms in -51035*p**3 + 25521*p**3 + 25521*p**3. 7*p**3 Collect the terms in 3 + 105*c - 211*c - 3 + 116*c. 10*c Collect the terms in 7*b**3 - 17706*b**2 + 17706*b**2. 7*b**3 Collect the terms in 32663 - 32663 + 9*z**2. 9*z**2 Collect the terms in 0*t**3 - 2*t**3 - 19*t**2 + 19*t**2. -2*t**3 Collect the terms in 607*z - 1896*z + 685*z + 606*z. 2*z Collect the terms in -25*l**3 + 15*l**2 - 2 - 15*l**2 + 1. -25*l**3 - 1 Collect the terms in -35*p + 35*p + 17*p**2 - 1. 17*p**2 - 1 Collect the terms in 31*k - 14*k - 13*k. 4*k Collect the terms in -9*m**3 - 4*m - 2*m + 6*m. -9*m**3 Collect the terms in -262884*i - i**3 + 131445*i + 131439*i. -i**3 Collect the terms in 6 - 3 - 10*j**2 - 4 + 1. -10*j**2 Collect the terms in -3*m**2 + 20 - 2 - 18. -3*m**2 Collect the terms in 10*l + 2*l - 10*l. 2*l Collect the terms in -6 - 32 + n - 6. n - 44 Collect the terms in 5*b**3 + 1 - 4*b**3 - 11 + 10. b**3 Collect the terms in -10*n - 37*n + 0*n - 28*n. -75*n Collect the terms in -3*c**2 + 3*c**2 + 0*c**2 - c**3. -c**3 Collect the terms in 301*t - 20*t**3 - 301*t. -20*t**3 Collect the terms in -m - 4 + 3*m + 1 + 3*m. 5*m - 3 Collect the terms in -2*o - 5*o + 19 - o + 2*o. -6*o + 19 Collect the terms in -28 - 2*h - 32 + 0*h + 73. -2*h + 13 Collect the terms in 4*g**3 + 16*g**3 - g**3. 19*g**3 Collect the terms in -366*s**3 - 82*s**3 + 8*s**3 - 390*s**3. -830*s**3 Collect the terms in 93*n - 93*n + 31*n**2 + 18*n**2. 49*n**2 Collect the terms in 1987*k - 1987*
{ "pile_set_name": "DM Mathematics" }
ert 0.4861862mm to kilometers. 0.0000004861862 What is thirty-three tenths of a micrometer in nanometers? 3300 What is ten thirds of a decade in months? 400 What is 3110.003 litres in millilitres? 3110003 How many microseconds are there in 7/2 of a millisecond? 3500 How many millimeters are there in seventy-seven fifths of a meter? 15400 What is four fifteenths of a day in seconds? 23040 How many decades are there in twenty-seven fifths of a millennium? 540 How many nanograms are there in 61/2 of a microgram? 30500 Convert 532645.2 minutes to microseconds. 31958712000000 What is 95040.37us in nanoseconds? 95040370 How many millilitres are there in 53/4 of a litre? 13250 What is one tenth of a litre in millilitres? 100 How many months are there in five sixths of a millennium? 10000 Convert 4.29905 days to minutes. 6190.632 How many minutes are there in 6/5 of a hour? 72 What is five quarters of a millimeter in micrometers? 1250 What is 563000.9 hours in nanoseconds? 2026803240000000000 Convert 0.5125811ml to litres. 0.0005125811 How many millilitres are there in 0.984733l? 984.733 How many tonnes are there in 2.727591 milligrams? 0.000000002727591 What is twenty-seven quarters of a day in hours? 162 Convert 146.641347ns to days. 0.0000000000016972378125 How many nanometers are there in five quarters of a micrometer? 1250 How many seconds are there in 0.746927ns? 0.000000000746927 How many grams are there in thirteen fifths of a kilogram? 2600 How many nanograms are there in 0.1395458t? 139545800000000 How many months are there in twenty-five quarters of a decade? 750 How many tonnes are there in 0.0506392mg? 0.0000000000506392 What is seventy-one fifths of a millennium in centuries? 142 How many nanograms are there in eleven quarters of a microgram? 2750 How many nanograms are there in five quarters of a microgram? 1250 What is fifteen quarters of a milligram in micrograms? 3750 What is 1/10 of a litre in millilitres? 100 What is 3/40 of a kilometer in meters? 75 How many litres are there in 114.9497 millilitres? 0.1149497 How many millilitres are there in 65.32481l? 65324.81 How many micrometers are there in three fifths of a centimeter? 6000 How many micrograms are there in 15/4 of a milligram? 3750 Convert 6.659338 weeks to milliseconds. 4027567622.4 How many hours are there in eleven quarters of a day? 66 What is 0.7444652 hours in microseconds? 2680074720 What is 3717.039 minutes in hours? 61.95065 Convert 0.6295495ug to tonnes. 0.0000000000006295495 What is 11/2 of a litre in millilitres? 5500 Convert 47266.31 weeks to days. 330864.17 How many micrograms are there in 29/2 of a milligram? 14500 Convert 5027.772 weeks to hours. 844665.696 What is two fifteenths of a day in seconds? 11520 Convert 348312.1 millennia to decades. 34831210 Convert 17.6562ml to litres. 0.0176562 What is 31/2 of a litre in millilitres? 15500 What is 21/2 of a micrometer in nanometers? 10500 Convert 328.4162 milligrams to micrograms. 328416.2 How many years are there in 3/5 of a century? 60 What is 145.6282 meters in millimeters? 145628.2 What is 3/5 of a millennium in years? 600 How many micrometers are there in fourty-eight fifths of a millimeter? 9600 What is 3/32 of a gram in micrograms? 93750 How many weeks are there in 58050159.3ns? 0.00000009598240625 What is 32/5 of a litre in millilitres? 6400 How many millilitres are there in 6.316077 litres? 6316.077 How many millilitres are there in 1/5 of a litre? 200 Convert 1523.5374 hours to weeks. 9.068675 What is 26/5 of a tonne in kilograms? 5200 How many years are there in 41/2 of a century? 2050 Convert 766644.5ms to seconds. 766.6445 What is three tenths of a millimeter in micrometers? 300 What is 3/5 of a kilogram in grams? 600 Convert 499.3167 weeks to milliseconds. 301986740160 What is 1/5 of a micrometer in nanometers? 200 How many nanograms are there in 6/5 of a microgram? 1200 What is 0.3222713mg in tonnes? 0.0000000003222713 Convert 82226.12nm to centimeters. 0.008222612 How many days are there in 25948.9413us? 0.00000030033496875 What is 3/32 of a millimeter in nanometers? 93750 What is 51/2 of a millennium in decades? 2550 Convert 6426.669kg to milligrams. 6426669000 How many kilometers are there in 115291.9mm? 0.1152919 What is 219.7309us in nanoseconds? 219730.9 What is one tenth of a milligram in micrograms? 100 How many months are there in seventy-four thirds of a year? 296 What is 1.205701 millennia in years? 1205.701 What is 7/25 of a micrometer in nanometers? 280 How many millilitres are there in 11/2 of a litre? 5500 How many centuries are there in 24.78865 years? 0.2478865 What is 18/5 of a microgram in nanograms? 3600 How many months are there in 7/8 of a millennium? 10500 How many centimeters are there in eleven halves of a meter? 550 How many months are there in one sixteenth of a century? 75 Convert 4268.817cm to millimeters. 42688.17 What is 29/5 of a kilometer in meters? 5800 What is 82.35834 millennia in months? 988300.08 Convert 185758.6mg to kilograms. 0.1857586 What is 10/3 of a decade in months? 400 How many nanometers are there in 3/25 of a micrometer? 120 What is 1/15 of a minute in milliseconds? 4000 What is three tenths of a kilometer in centimeters? 30000 Convert 0.0022142 millilitres to litres. 0.0000022142 Convert 226.3101 minutes to hours. 3.771835 What is seventeen halves of a litre in millilitres? 8500 What is 37/5 of a day in minutes? 10656 What is 99.72487 nanometers in kilometers? 0.00000000009972487 What is 25/4 of a microgram in nanograms? 6250 Convert 241.2105 millennia to centuries. 2412.105 How many centuries are there in 6/5 of a millennium? 12 What is 18/5 of a millennium in decades? 360 How many meters are there in 3/40 of a kilometer? 75 How many millilitres are there in 17/2 of a litre? 8500 What is one quarter of a millennium in years? 250 What is 1.090293 months in millennia? 0.00009085775 How many kilograms are there in 0.571845mg? 0.000000571845 Convert 7144.496 weeks to minutes. 72016519.68 How many millilitres are there in 0.5737663 litres? 573.7663 What is twenty-one halves of a tonne in kilograms? 10500 How many centuries are there in 70208.48 years? 702.0848 What is 4/21 of a week in minutes? 1920 What is 73.82077 meters in kilometers? 0.07382077 Convert 5.451897ml to litres. 0.005451897 What is fifty-one quarters of a litre in millilitres?
{ "pile_set_name": "DM Mathematics" }
w = 205/6 - 34. Let s be (-316)/(-18) - (5 + 13). Let q = -3 + 2.8. Which is the closest to q? (a) s (b) -2/3 (c) w a Let l = -191 + 189. Which is the closest to l? (a) 1.28 (b) 2 (c) 0.4 (d) -0.1 d Let y = -1.87 + 0.87. Let v = -102.4 - -102.7. Which is the nearest to v? (a) 9 (b) y (c) -0.5 c Let d be (-6)/38*2/(-3). Let f = -992.4 + 993.4. What is the nearest to f in d, 0.5, -1? 0.5 Let q = -566 - -290. Let k = q - -272. What is the nearest to -24 in 2/9, k, 2/5, 1/3? k Let i = -1513 + 1508. Which is the closest to 2/11? (a) 1 (b) 2 (c) i (d) 4 a Let u = -422.9439 - -423. Let r = -48.6439 - u. Let g = -49 - r. What is the nearest to 2 in 0, g, 2? 2 Let x = 17.521 - 17.581. Which is the closest to -2? (a) 8/11 (b) -0.5 (c) x (d) 1/5 b Let p = -26478.6 - -26478.3. Let g = -0.3 - -0.2. What is the nearest to 0.1 in p, 2/21, g? 2/21 Suppose 11*t + 48*t = -23*t + 246. Which is the nearest to 0.6? (a) 7 (b) -15 (c) t c Let s be ((-2)/(-2))/(-4*(-9)/(-36)). Let x = -140 + 143. Let f = -5 + 4.7. Which is the closest to s? (a) f (b) x (c) -0.2 a Let o = 48 + -144. Let i be (-1 - -4) + 280/o. Which is the closest to 0? (a) -3/4 (b) -0.06 (c) i b Let y = 29 - 58. Let w = y - -43. Let j = w + -14. What is the closest to 2 in 0.3, j, 5? 0.3 Let u = -293 - -290.33. Let a = u - -0.67. What is the nearest to -0.1 in -0.1, a, -1/4? -0.1 Let g = 4292 - 4291. Which is the nearest to -2/7? (a) g (b) 0 (c) 33 (d) -0.4 d Let o = -28.2721 + -0.0479. Let r = -28 - o. Let x = r - 0.72. What is the closest to -2 in 0.05, x, 5? x Let u = 2066.5 - 2066.53. Which is the nearest to -0.13? (a) u (b) 5 (c) -2/47 c Let k = 1994 + -1994.1. Let x = 16 + -16.1. Which is the nearest to k? (a) 1/7 (b) -4 (c) x (d) -7 c Let y be (12/8)/(4 + (-70)/7). What is the nearest to -1 in 7, y, 67, 0? y Let z = -0.06833 + 0.46833. Which is the nearest to -1.5? (a) z (b) -1/6 (c) 1/4 b Let o = -0.62 + 0.22. Let d = 705.1 - 705. What is the closest to -2 in -1/11, d, o? o Let t be (4/16)/(-2 + 95/15 + -5). Which is the nearest to -0.1? (a) t (b) 3/11 (c) 0.03 c Let s be (-4)/(28/(-49)) + (-3)/24*59. What is the nearest to s in -0.3, 2, -3/7, -18? -3/7 Let j be (-6)/4*((-2)/6)/((-276)/(-96)). Which is the nearest to 1? (a) -1/7 (b) j (c) -0.2 b Let w = -108 + 72. Let h = 436/1673 + 6/239. What is the closest to 0 in w, 3, h? h Let t = -66 - -29. Let y = -39 - t. Which is the closest to -5? (a) -3 (b) y (c) -4 c Let s be ((-1075)/3440)/(5/4). Which is the nearest to 11? (a) 18 (b) 1/3 (c) s a Suppose -p - 5*m - 265 = 0, -4*p + 5*p + 220 = 4*m. Let s be (-2)/(-5) + p/100. Let l be (-6)/4 + s + 8/4. Which is the closest to 1/9? (a) -3 (b) l (c) -5 b Let n = 0.21977 - 1.21977. Which is the nearest to n? (a) -11 (b) -4 (c) -7 (d) 0.3 d Let p = -0.12 + -2.98. Let h = -45.1 - -53. Let n = p - h. Which is the closest to 0? (a) -1 (b) -2/3 (c) n b Let i = 2059 + -2057. Suppose -3*c = 4*x - 2, 2*c - 4*c + 4*x = -8. Suppose 3*s + 7 = -c. What is the nearest to 0 in s, i, -0.4? -0.4 Let h be 35/20 - (-2 - (0 + -3)). Let q = 23 + -24. Let s = 25 + -22. Which is the closest to q? (a) h (b) s (c) -4 a Let y = 0.3 + -0.1. Let l be 6/((-390)/355) + 39 + -34. Which is the closest to y? (a) 3/5 (b) l (c) -4 a Let u = -0.9 + 1. Let d = 8.2 + -31.8. Let b = 24.6 + d. What is the closest to -2 in 2/23, b, u? 2/23 Let x = 211 + -173. Let v = x + -37. Which is the nearest to 2/9? (a) 5/2 (b) v (c) -1/3 c Let h = 42220/7 - 6044. Which is the closest to 1? (a) -3 (b) -0.4 (c) h b Let k = -2759 + 2758.9. Let m = -8 + 10. Which is the closest to k? (a) m (b) 3/31 (c) -5 (d) 5 b Let y = 0.054 - -0.246. Let k = -25 - -25.45. Let d = k + -0.25. Which is the closest to y? (a) -0.4 (b) -4 (c) d c Let t(f) = -f**3 + 3*f**2 + 2*f - 2. Let h be t(2). Suppose -10 = 3*m + j, -3*m - 4 = -3*j - 10. Which is the closest to 0.4? (a) h (b) m (c) -4/3 c Suppose 4*q - 6*q - 64 = 0. Let w be (-3)/(-18)*(-4)/q*18. What is the closest to w in 2, -1/4, -1? -1/4 Let z(x) = 2*x**2 - 18*x - 29.
{ "pile_set_name": "DM Mathematics" }
actor of l? False Is 348/9*(-6)/(-4) a multiple of 12? False Let i = 1008 - 409. Is 42 a factor of i? False Does 28 divide (-1688)/(-28) - 6/(-147)*-7? False Suppose 0 = 4*b + 20 + 168. Let w = -17 - b. Suppose 0 = -c + m + 33, -c - m = 7 - w. Is 9 a factor of c? False Let o = -3 - -3. Suppose 3*k = -o*k. Suppose -5*c + 132 = 3*d, 5*c + 63 = 2*d - k*d. Is d a multiple of 13? True Suppose -5*o + 23 + 9 = 4*s, -2*o + s + 5 = 0. Suppose o*m = 4*w - 420, -w + 207 = w + m. Is w a multiple of 20? False Let o be (1 - (0 + 1)) + 12 + 0. Suppose -o*a = 4*a - 3168. Is a a multiple of 18? True Let v(m) = m**2 - 23 - m - m + 29. Let h be v(6). Does 5 divide (h/(-12))/(2/(-4))? True Suppose 0 = -k + 10*k + 36. Let p = k - -26. Is 11 a factor of p? True Let j be 356/(-3)*3/(-2). Let y = j + -99. Does 32 divide y? False Suppose 0*c + 5*z - 24 = -c, 2*c + 4*z = 18. Let y be -10 - -13 - (-1 - c). Suppose -y*n = j - 44 - 11, -150 = -3*j - 4*n. Is j a multiple of 23? True Let y be 2/(-12) - 49/(-6). Suppose -y = -3*h + 4. Does 6 divide 142/10 - h/20? False Let o(y) = y**2 - 1. Let l be o(2). Suppose -2*t - l*t = 2*c - 175, 0 = -5*t - 3*c + 170. Does 11 divide t - (-4)/((-4)/3)? False Suppose 3*r - 7*r = 0. Suppose c + 4*s + 11 = r, -3*s - 14 = -2*c - 2*s. Suppose -4*v + c*f - 8 = -153, 89 = 2*v + 3*f. Is 10 a factor of v? True Suppose -2*c = -f + 5, -3*c = 2*f - 0*f - 3. Suppose -f*h + j + 788 = 0, -h - 3*j = -2*h + 252. Does 15 divide h? False Let x(h) be the second derivative of 11*h**3/3 - 21*h**2 + 15*h. Does 18 divide x(9)? False Let x be 5/(-2)*4/(-5). Let d be (x/(-4))/((-4)/(-168)). Is 10 a factor of (2 - d) + (0 - 3)? True Suppose 4*x = 3*x + 5*j + 137, -j = 2*x - 219. Suppose x = -2*w - 2*w. Is 6 a factor of (-7)/w + 126/8? False Let s = -91 + 139. Does 4 divide s? True Let t be ((-5)/(-3))/(6/18). Suppose b = x + 1, 4*x - t*x + 2*b = 4. Suppose -87 = -x*f + v - 4*v, f + 5*v = 40. Is f a multiple of 15? True Suppose -248 = -4*v - 2*c, -c = -2*v + 4*c + 148. Suppose j - v = -j. Suppose -4*k = x - k - 40, -x + 5*k + j = 0. Is 17 a factor of x? False Let x(u) = 2*u**2 - u. Let s(z) = -3*z**2 - 14*z - 14. Let f(i) = -s(i) - 2*x(i). Does 5 divide f(15)? False Let y(g) = g**2 + 4*g - 2. Let u be y(-4). Let c = 28 - u. Is 10 a factor of c? True Suppose -88 - 1424 = -7*z. Is 11 a factor of z/10 - 4/(-10)? True Suppose 2*q - 158 = 5*x, -5*q + 5*x = -0*q - 410. Suppose 4*k - 29 = r + 118, 2*k - 4*r - q = 0. Is k a multiple of 36? True Suppose -3*w + 70 + 371 = 0. Let n be w/(((-12)/8)/(-1)). Suppose 0 = o - 8*o + n. Is 14 a factor of o? True Suppose 5*q + y - 1237 = 3*q, 4*q - y - 2483 = 0. Is 9 a factor of q? False Let f = 2 + -2. Let d be (3 + -1)*(6 + (-55)/10). Suppose p - d - 35 = f. Is 18 a factor of p? True Let y be (-9)/(-4) + 3/(-12). Let r(o) = 13*o**y - 2*o - 9*o**2 - 3 - 3*o**2. Does 9 divide r(8)? True Suppose -h + 3*h + 6 = 0. Let z be 38 - (-2 - h - 3). Does 15 divide (z/(-6))/((-4)/18)? True Suppose 4*k - 5*k = -92. Suppose i - k = -420. Is 14/(-63) - i/18 a multiple of 18? True Let c(o) = -24*o**3 - o**2 + o. Let r be c(1). Is 20 a factor of (-1422)/r - (-3)/4? True Let b be 1/(-3) + (-364)/42. Is 6 a factor of (3 - 2) + -4 - b? True Let b = -301 + 931. Is 37 a factor of b? False Let z be 0/1*(18 + -19). Suppose z = -6*u + 99 + 189. Is u a multiple of 24? True Suppose -3*m + 2*t + 42 = -2*t, 0 = -2*m + 2*t + 26. Suppose 0 = 2*k - 0 + 2. Let c = k + m. Does 6 divide c? False Suppose -4*l = -l - 6. Suppose -3*x + 37 = 2*d, l*d = x + 22 + 19. Suppose -4*i + 32 + d = 0. Is 13 a factor of i? True Suppose 3*k = -0*k. Suppose k*y = -5*y + 2*c - 3, 0 = -y - 3*c + 13. Does 16 divide (8/10)/(y/60)? True Let l = 212 - 61. Let n = l - 44. Suppose -239 = -5*s - r, -r + n - 12 = 2*s. Is s a multiple of 12? True Let q = 45 + -45. Suppose -4*x + x + 360 = q. Is 11 a factor of x? False Let x(u) = -2*u**3 + 5*u**2 - 8*u - 14. Let c be x(-5). Let w = -176 + c. Does 39 divide w? False Let b(z) = 4*z**2 + 8*z + 9. Let a = 10 - 3. Let n be b(a). Suppose 0 = 3*p - n + 45. Is 16 a factor of p? False Let y = -241 + 438. Is y a multiple of 24? False Let s(q) = -136*q + 8. Is s(-3) a multiple of 13? True Suppose -5*o - 2*x + 1172 = -x, -711 = -3*o + 2*x. Is 25 a factor of o? False Suppose 2*a - 6*a = 0. Suppose a = 3*w, -t + 3*w + 68 = -5*t. Let r = t + 31. Does 9 divide r? False Suppose -105 = 3*w - 0*w. Suppose 2*x = x + 3*l - 66, 0 = -2*x - 2*l - 124. Let g = w - x. Is g a multiple of 14? True Let s(v) = 4*v
{ "pile_set_name": "DM Mathematics" }
4 c Let p be 4/(-18)*(-16)/48. What is the third smallest value in -0.2, 0.2, p, 1/11? 1/11 Let l be ((-2)/1)/(1 - (-18)/(-15)). Which is the second smallest value? (a) l (b) -5 (c) 5 c Let o = -1.1 + -1.9. Let z = -5.05 - -0.05. What is the third smallest value in o, -1/6, z? -1/6 Let b = 2.6 + -2.5. What is the biggest value in -0.03, b, 2? 2 Let y(s) be the second derivative of -s**3/3 + 15*s**2/2 - s. Let i be y(7). What is the third biggest value in 4, i, -2? -2 Let h = -7 + 4.6. Let m = h + 2. What is the biggest value in m, 2/15, -0.2? 2/15 Let s = 0.23 - -3.57. Let z = s + 0.2. Let q = -2.3 + 2. What is the third smallest value in q, -1, z? z Let z = 1003/1260 - -1/252. Let h = -5 - -5.4. Let s = -0.1 - h. What is the smallest value in z, -5, s? -5 Let k = 74 - 70. What is the second biggest value in k, -31, -0.4? -0.4 Let r = 59/2 - 88/3. Let q = -0.39 + 4.59. Let l = -4 + q. Which is the biggest value? (a) r (b) l (c) 0.5 c Let z = 94 + -88. What is the smallest value in -1/2, z, 0.2, 2/5? -1/2 Let f = 46.6 + -52. Let l = -0.9 + 5.9. Let u = l + f. What is the second smallest value in u, -5, -0.1? u Suppose 5*d = 5*p + 30, 0 = -2*d + 4*d + 2*p. Suppose 9*x + 8 + 10 = 0. What is the biggest value in 3/2, x, d? d Let c be (-6)/(-3) - (2 + 23). What is the smallest value in c, -4, 0.4? c Let o = -8 - -3. Let i = 2 + o. Which is the biggest value? (a) 2/5 (b) i (c) 3 c Let u = -0.02 - -0.1. Let d = -1.08 + u. Let b(c) = c**3 - 4*c**2 + 2*c + 4. Let i be b(3). What is the smallest value in -0.2, i, d? d Let h = -10 - -13. Which is the third smallest value? (a) 0 (b) h (c) 0.3 b Let a(k) = k**2 + 5*k - 6. Let s be a(-5). What is the third smallest value in 2, 0, s? 2 Let s(u) = -2*u - 1. Let q be s(1). Which is the smallest value? (a) -0.4 (b) -0.2 (c) 6 (d) q d Let u = 82.4 + -82. What is the second biggest value in -1/7, 3, u? u Let h = 0.8 - -3.2. Let l = -1 - -0.8. What is the second biggest value in l, -5, h? l Let x = -0.3 - -0.5. Which is the second biggest value? (a) -6/7 (b) 5 (c) -1 (d) x d Let x be (200/28)/5 + (1 - 3). Which is the smallest value? (a) 3 (b) x (c) -2 (d) 0 c Let z = -3.4 + 22.4. Let r = -22 + z. What is the third smallest value in 3, 2/11, r? 3 Let y be (-3 + 4)*(0 + 2). Let s be (-4)/y*(-6)/(-6). What is the smallest value in s, 2/17, -2/9? s Suppose -s + 2 - 4 = 0. Suppose -4*q + 2*q = -8. Which is the third smallest value? (a) 2 (b) s (c) q c Let d = 0.05 - -0.15. Let c = -2.9 + 2.7. What is the third biggest value in c, d, -0.1? c Suppose 4*y = -y - 10. Which is the third smallest value? (a) 6 (b) -2/7 (c) y a Let u = -884109 - -325351845/368. Let r = u + 13/16. Let s = 0.1 - 0.2. Which is the second smallest value? (a) 0.4 (b) s (c) r c Let j be (1/(-4))/(2/(-12)). Let m = 19 - 19.18. Let g = 0.28 + m. Which is the second biggest value? (a) j (b) g (c) -4 b Let v(l) = l**2 - l + 1. Let p be 2/4*(-1 - -3). Let x be v(p). Let u be -2 + 33/9 - x. Which is the biggest value? (a) u (b) -0.1 (c) 3/7 a Suppose 4*i = -3*n - 1462, 3*i - 2696 = 4*n - 755. Let d be n/(-80) + (-3)/(-5). Let j = d - 63/10. What is the second biggest value in j, 2, 0? j Let l(i) be the second derivative of -i**4/12 - 5*i**3/6 - i**2 + 2*i. Let t be l(-4). Let s = -3 - -4. What is the biggest value in 3/2, s, t? t Suppose 4*r + 4 = -p - 3, r - 11 = 4*p. Let h = -23 + 23.1. Let n = -0.41 - -0.01. What is the third biggest value in n, p, h? p Let u = 104 + -934/9. Let b = 7.4 + -7. What is the second biggest value in 0.3, b, u? 0.3 Let p = 860313 - 16341195/19. Let z = p + -250. What is the third smallest value in -0.3, z, 5? 5 Let p(i) = -i**2 - 15*i + 15. Let x be p(-16). What is the third smallest value in x, 0, 0.1, -0.2? 0 Let i = 16.5 - 16.4. Let y = 10 - 6. Let v be 1/y + (-2)/4. What is the smallest value in -2, v, i? -2 Let d = -13/30 - -1/10. Let t = -21/2 - -81/8. Which is the third biggest value? (a) d (b) t (c) 0 b Let b = 1.8 - 1.7. What is the second smallest value in 5, b, 3, -2? b Let v = 0.6 + -0.2. Let b be 81/(-90) - (-2)/5. What is the smallest value in 1, v, b? b Let v = -2.39 + 2.3. Let y = v + 0.04. Let w = y + -0.25. Which is the biggest value? (a) w (b) -4 (c) -0.4 a Let s = 1 - 0. Let v = 1 - 0. Let l = v - 4. Which is the smallest value? (a) -4 (b) l (c) s a Let k = 178 - 184. Which is the third smallest value? (a) k (b) -0.8 (c) 5 c Let z = -0.
{ "pile_set_name": "DM Mathematics" }
**3 + 6. Let z be s(-1). Which is smaller: z or 49? z Suppose 4*p - 65 = -p + 3*c, -55 = -5*p + 5*c. Suppose -p*b = -15*b. Which is smaller: 1/30 or b? b Let h = 10 - 8. Let n(i) = -i**3 + 2*i**2 - i + 38. Let k be n(4). Is k at most as big as h? True Let v(b) = -15*b + 308. Let q be v(25). Which is bigger: -68 or q? q Let b = 2003 - 2038. Which is greater: b or -1/4? -1/4 Let v = -9 + 10. Let k be 24/v*(-3)/(-6). Let p = k - 4. Is 7 != p? True Let b = -578 + 124. Is b >= -453? False Let n = 66 + -86. Is n <= 1/3? True Let v = 238963 + -3820721/16. Let m = 168 - v. Suppose 0 + 0 = -4*a. Is a greater than m? False Let q be (0 - 8/(-44)) + 373484/(-550). Let t = q - -679. Is t not equal to 1? True Let d be -186*(-1 + -1*20/(-5)). Which is greater: -556 or d? -556 Suppose 0 = -3*g + 65 + 103. Let o = 63 - g. Are o and 11 non-equal? True Let p be (-504)/(-944) + 1/(-2). Let y = -8/15883 + 843215/2811291. Let j = y + p. Is -1 > j? False Suppose 0 = 4*z + 3*x + 12, -z = z - 3*x - 12. Suppose z*n = 5*b - 2*n - 34, 2*n + 10 = 2*b. Let g be (-11)/(-4) - 6/b. Are -2 and g unequal? True Let j(x) = x**2 + 6*x + 4. Let v be j(-7). Let d be 10/55 + 31/v. Suppose 13 = -p - d*a, 2*p - 4*a = 25 - 1. Which is greater: p or 4? 4 Let o = -61 - -94. Which is smaller: o or 37? o Suppose r = 15*d - 18*d - 17, -4*d - 12 = 4*r. Suppose -7 = -4*l - f, 0 = 4*l - 4*f - 41 + 9. Is d at most as big as l? True Let w = -150 - -18. Which is bigger: w or -133? w Let c be ((-8)/14)/((-8)/(-28)). Which is bigger: c or -23/13? -23/13 Suppose 5315 = -22*t - 4431. Is -443 less than t? False Let d(a) = -a**3 - 32*a**2 - 33*a - 61. Let m be d(-31). Which is greater: -1/197 or m? m Suppose 7*c = 4*c. Suppose -a + c*a + 1 = -5*n, -3*a + 3 = n. Let w(g) = g**3 + 20*g**2 + 6*g + 112. Let j be w(-20). Which is bigger: j or a? a Suppose 102 = -0*n + n. Let t = n + -103. Which is smaller: t or 1/17? t Suppose i - 12 = -3. Let y = 14 - i. Suppose t + n = -4*n - 7, 5*t + 35 = y*n. Is -7 > t? False Let t = -164 - -2951/18. Suppose 0 = -b - 4 + 18. Let r be 3/2 - 7/b. Is r greater than t? True Let m = -0.1751 + -0.1249. Which is greater: m or 144? 144 Let v = -195 - 250. Which is bigger: v or -446? v Let h = -22753/2 + 11379. Let z = -1 + -1. Let b = z - -3. Is h at most b? False Let f = -17 + 14. Let g = f - 8. Let u = 12 + g. Is u bigger than -1/7? True Let n = -29 + 23. Let o = n + 6. Is -37 less than o? True Let t = 1162 + -1162.08. Are t and 5 nonequal? True Suppose -y - h = 56, -2*y - 7*h + 3*h = 112. Which is smaller: -55 or y? y Let w = -4 - -9. Suppose 5*m - 3*m + c - 1 = 0, 4 = w*m + 4*c. Let r = 1187 + -5937/5. Which is smaller: m or r? r Suppose -7*h = -2*h - 55. Suppose 99 = -2*x + 105. Let k = h - x. Is 8 less than k? False Let o be (-2)/4 + -369*9/(-54). Which is smaller: -3 or o? -3 Suppose -d + 3*s = -s + 19, 2*d = 2*s - 14. Let w be (-17)/(-9) + -3 + -2. Are w and d unequal? True Let a = 77719/82 + -1895/2. Let q = 10 - 10. Do a and q have the same value? False Let q be -6*((-55)/15 + 3). Suppose 2*p = -4*r - 5 + 3, q*r = p - 11. Is p equal to 13? False Let s = 30620/61 - 502. Is s less than -1? False Let r = 6 + -5.3. Let h = 0.4 - 0. Let y = r - h. Is y smaller than -0.1? False Let y = -48.8 + 48.94. Which is smaller: -4/5 or y? -4/5 Suppose -6 - 2 = -y - 5*v, 2 = -v. Let x be (-4)/6 - (-732)/y. Which is smaller: x or 39? 39 Suppose -37 + 8 = -y. Let o = y + -25. Which is smaller: 5 or o? o Let y(a) be the second derivative of a**7/2520 - a**5/120 - a**4/4 - 3*a. Let g(k) be the third derivative of y(k). Let s be g(1). Is 0.04 bigger than s? True Let x = 45 - 45. Suppose x = -i - y - 9, y = 4*i - 2*y + 1. Is -3 smaller than i? False Let z be (-22)/(-55) - 9896/(-10). Let a be 2/7 - z/525. Is a greater than or equal to -2? True Let n = 47 + 4. Are 49 and n equal? False Let z(x) = -2*x**3 - 14*x**2 + 10*x + 9. Let k be z(-8). Are 7 and k unequal? True Let h be 26/10 + (-1 - 2). Let r = -49 + 28. Let m be 77/r - (-3 + 0). Which is greater: h or m? h Let d(o) = -o**3 + 5*o**2 + 2*o - 1. Let y be d(5). Let w be (y/(-6))/((-3)/(-32)). Let n = w - -239/15. Is n > 0? False Let c be (1/(5/40))/2. Suppose -c*d + 18 = -34. Is d greater than or equal to 13? True Let b = 515 - 21122/41. Is b at most -1? False Let n = 0.059 - -0.041. Which is greater: n or -2/13? n Suppose 0 = 171*g - 155*g - 16. Which is greater: -2/265 or g? g Let a = -33 + 65. Suppose -a + 87 = 5*c. Is c at most 11? True Let q be 3*(-7)/((-63)/12). Suppose -3*i - 23 = -4*b, -3*i + q = 5*b - 18. Let m be (-2 - 0 - i)*8. Is -6
{ "pile_set_name": "DM Mathematics" }
alculate the greatest common factor of 760 and 320. 40 What is the highest common factor of 63 and 18? 9 Calculate the greatest common divisor of 48 and 2712. 24 Calculate the highest common divisor of 15 and 2235. 15 What is the greatest common factor of 37 and 111? 37 Calculate the greatest common factor of 18 and 3285. 9 What is the greatest common divisor of 9 and 198? 9 Calculate the highest common factor of 3880 and 10. 10 What is the greatest common factor of 672 and 21? 21 What is the highest common divisor of 82 and 168? 2 Calculate the highest common factor of 4270 and 350. 70 Calculate the highest common divisor of 10 and 570. 10 Calculate the greatest common divisor of 12 and 45. 3 Calculate the greatest common factor of 14 and 12. 2 What is the greatest common factor of 108 and 162? 54 Calculate the highest common factor of 13 and 17979. 13 What is the highest common divisor of 1295 and 21? 7 Calculate the greatest common factor of 33 and 22. 11 Calculate the highest common factor of 2016 and 99. 9 What is the highest common factor of 28 and 7063? 7 What is the greatest common divisor of 3920 and 42? 14 Calculate the highest common factor of 30 and 465. 15 What is the highest common factor of 3441 and 1443? 111 Calculate the highest common divisor of 680 and 272. 136 What is the highest common divisor of 1 and 419? 1 What is the highest common divisor of 80 and 130? 10 What is the highest common factor of 5577 and 11? 11 What is the highest common divisor of 36 and 102132? 36 Calculate the greatest common factor of 1575 and 63. 63 Calculate the highest common divisor of 749 and 2461. 107 What is the highest common factor of 67 and 3216? 67 Calculate the highest common factor of 8 and 4808. 8 What is the highest common divisor of 39 and 7852? 13 What is the greatest common factor of 371 and 112? 7 Calculate the greatest common factor of 676 and 988. 52 Calculate the highest common factor of 1125 and 150. 75 Calculate the highest common divisor of 654 and 114. 6 What is the highest common divisor of 3 and 507? 3 What is the greatest common divisor of 2 and 130? 2 What is the greatest common divisor of 4009 and 19? 19 Calculate the greatest common divisor of 154 and 31339. 77 Calculate the highest common factor of 30 and 12. 6 What is the greatest common factor of 602 and 3913? 301 Calculate the highest common factor of 692 and 4. 4 Calculate the highest common factor of 9646 and 28. 14 Calculate the highest common divisor of 128565 and 45. 45 Calculate the greatest common divisor of 30 and 40. 10 What is the highest common divisor of 230 and 69? 23 Calculate the highest common divisor of 216 and 8. 8 What is the greatest common divisor of 428 and 36? 4 Calculate the highest common factor of 7 and 2933. 7 What is the highest common factor of 40 and 700? 20 Calculate the greatest common factor of 230 and 598. 46 What is the highest common divisor of 2598 and 9? 3 What is the highest common divisor of 4830 and 1890? 210 What is the highest common factor of 1647 and 81? 27 What is the highest common factor of 78 and 351? 39 Calculate the greatest common divisor of 2 and 2503. 1 What is the greatest common factor of 273 and 52? 13 What is the greatest common divisor of 68 and 344? 4 Calculate the greatest common divisor of 34 and 51. 17 What is the greatest common factor of 105 and 97545? 105 What is the greatest common factor of 6 and 717? 3 Calculate the greatest common factor of 713 and 69. 23 Calculate the greatest common divisor of 30 and 12. 6 Calculate the greatest common divisor of 156 and 35724. 156 Calculate the highest common factor of 28 and 36. 4 What is the greatest common divisor of 374 and 153? 17 Calculate the highest common divisor of 138 and 87216. 138 What is the greatest common divisor of 20 and 30860? 20 Calculate the highest common factor of 2475 and 297. 99 Calculate the highest common factor of 19 and 475. 19 What is the highest common divisor of 6 and 44? 2 Calculate the greatest common divisor of 299 and 69. 23 Calculate the highest common factor of 384 and 552. 24 What is the highest common divisor of 2058 and 1050? 42 What is the greatest common divisor of 896 and 28? 28 What is the greatest common divisor of 1740 and 48? 12 Calculate the highest common divisor of 90 and 330. 30 Calculate the highest common factor of 3904 and 16. 16 What is the greatest common divisor of 812 and 140? 28 Calculate the highest common factor of 336 and 11904. 48 What is the highest common factor of 4396 and 84? 28 What is the highest common divisor of 33 and 121? 11 What is the greatest common factor of 18354 and 46? 46 Calculate the greatest common divisor of 116 and 406. 58 What is the greatest common divisor of 425 and 200? 25 Calculate the greatest common divisor of 87 and 377. 29 What is the greatest common factor of 35273 and 7? 7 Calculate the highest common divisor of 107 and 2675. 107 What is the highest common factor of 15962 and 1735? 347 Calculate the highest common factor of 37 and 592. 37 What is the greatest common divisor of 126 and 288? 18 Calculate the greatest common divisor of 249 and 3. 3 Calculate the highest common divisor of 40 and 512. 8 Calculate the highest common factor of 78 and 6. 6 Calculate the highest common divisor of 832 and 26. 26 What is the greatest common factor of 370 and 20? 10 Calculate the greatest common factor of 11269 and 59. 59 Calculate the greatest common factor of 1602 and 36. 18 What is the highest common divisor of 42 and 560? 14 Calculate the highest common divisor of 13 and 1963. 13 Calculate the highest common divisor of 15 and 485. 5 What is the highest common divisor of 6305 and 65? 65 Calculate the highest common divisor of 754 and 78. 26 What is the greatest common factor of 756 and 60? 12 Calculate the greatest common factor of 58 and 3683. 29 Calculate the greatest common divisor of 90 and 234. 18 Calculate the highest common factor of 54 and 702. 54 Calculate the greatest common factor of 270 and 405. 135 Calculate the greatest common divisor of 8938 and 410. 82 Calculate the highest common divisor of 1071 and 1512. 63 What is the greatest common factor of 264 and 40? 8 What is the highest common factor of 66520 and 40? 40 Calculate the greatest common factor of 77 and 121. 11 What is the greatest common factor of 40 and 260? 20 Calculate the highest common divisor of 94 and 3. 1 Calculate the greatest common factor of 68 and 34. 34 Calculate the highest common factor of 725 and 87. 29 Calculate the greatest common factor of 319 and 3480. 29 What is the greatest common divisor of 2958 and 754? 58 What is the greatest common divisor of 9 and 24? 3 What is the highest common factor of 20 and 50? 10 Calculate the greatest common divisor of 748 and 1100. 44 What is the greatest common divisor of 6 and 78? 6 What is the highest common factor of 12 and 1668? 12 Calculate the highest common factor of 2065 and 35. 35 What is the highest common factor of 91 and 130? 13 Calculate the highest common factor of 14 and 20797. 7 What is the highest common divisor of 3440 and 43? 43 What is the greatest common divisor of 116 and 428? 4 Calculate the greatest common factor of 568 and 2. 2 Calculate the greatest common factor of 10692 and 44. 44 Calculate the highest common divisor of 164 and 4. 4 What is the highest common divisor of 24 and 528? 24 What is the highest common factor of 9 and 1809? 9 What is the greatest common factor of 144 and 6384? 48 Calculate the highest common factor of 18 and 522. 18 What is the greatest common divisor of 42 and 34? 2 Calculate the greatest common factor of 247 and 190. 19 What is the highest common factor of 46 and 1150? 46 What is the greatest common factor of 14 and 143402? 14 What is the greatest common divisor of 1628 and 44? 44 Calculate the highest common divisor of 16 and 44. 4 What is the highest common divisor of 4681 and 961? 31 What is the highest
{ "pile_set_name": "DM Mathematics" }
375 How many millilitres are there in 6/5 of a litre? 1200 How many weeks are there in 1314.429417 nanoseconds? 0.0000000000021733290625 How many litres are there in 450992.1 millilitres? 450.9921 Convert 2.1404583 hours to days. 0.0891857625 How many nanograms are there in 42/5 of a microgram? 8400 Convert 0.6681791ug to milligrams. 0.0006681791 Convert 1777.892mg to nanograms. 1777892000 What is 2/15 of a century in months? 160 What is eighteen fifths of a minute in seconds? 216 Convert 0.2678289ml to litres. 0.0002678289 What is 21/5 of a meter in millimeters? 4200 How many micrograms are there in 12776.1t? 12776100000000000 How many nanoseconds are there in 18/5 of a microsecond? 3600 How many months are there in five sixths of a century? 1000 How many centuries are there in 3/5 of a millennium? 6 What is thirteen ninths of a day in minutes? 2080 How many litres are there in 0.6584483 millilitres? 0.0006584483 How many millilitres are there in 9/10 of a litre? 900 What is fifteen quarters of a millimeter in micrometers? 3750 What is twenty-nine fifths of a second in milliseconds? 5800 Convert 310068.4t to micrograms. 310068400000000000 What is 38035.55ug in grams? 0.03803555 What is 47611.91ug in tonnes? 0.00000004761191 What is one tenth of a meter in millimeters? 100 How many kilograms are there in one fifth of a tonne? 200 What is thirty-two fifths of a gram in milligrams? 6400 What is 7.12401ns in microseconds? 0.00712401 How many minutes are there in 0.0683402 weeks? 688.869216 How many kilograms are there in 855.5213ug? 0.0000008555213 How many nanograms are there in 802676.7 tonnes? 802676700000000000000 How many milligrams are there in thirteen fifths of a gram? 2600 What is three fifths of a litre in millilitres? 600 How many kilometers are there in 156.3314 micrometers? 0.0000001563314 What is 3/32 of a kilometer in centimeters? 9375 What is 1120.138s in nanoseconds? 1120138000000 What is 533.49l in millilitres? 533490 What is three tenths of a millennium in months? 3600 How many millilitres are there in 53/4 of a litre? 13250 How many litres are there in 0.4749244 millilitres? 0.0004749244 Convert 5.670128 millilitres to litres. 0.005670128 What is twenty-seven fifths of a century in decades? 54 What is 1/20 of a millisecond in microseconds? 50 What is 93.57941kg in milligrams? 93579410 How many nanoseconds are there in five quarters of a microsecond? 1250 How many hours are there in 791.42157 nanoseconds? 0.000000000219839325 What is 2.048073t in milligrams? 2048073000 Convert 1724734.5 months to centuries. 1437.27875 Convert 129218.3l to millilitres. 129218300 What is 80857.2 centimeters in millimeters? 808572 Convert 81.03594cm to kilometers. 0.0008103594 How many litres are there in 0.8731483ml? 0.0008731483 How many seconds are there in 1/18 of a day? 4800 Convert 9.844787 millilitres to litres. 0.009844787 How many grams are there in 3100.851kg? 3100851 How many hours are there in 10/3 of a week? 560 What is 1/10 of a meter in micrometers? 100000 What is fifty-five halves of a millimeter in micrometers? 27500 How many kilometers are there in 37.10304mm? 0.00003710304 How many nanoseconds are there in twenty-nine fifths of a microsecond? 5800 What is 3/8 of a kilogram in grams? 375 How many seconds are there in 11/2 of a hour? 19800 What is 883198.4nm in centimeters? 0.08831984 How many millimeters are there in 47/4 of a meter? 11750 What is 653.9955 decades in months? 78479.46 What is twenty-one fifths of a litre in millilitres? 4200 What is 3/40 of a microgram in nanograms? 75 What is 30161.34 litres in millilitres? 30161340 How many millilitres are there in 37/5 of a litre? 7400 How many meters are there in one quarter of a kilometer? 250 Convert 1560389.103 milliseconds to weeks. 0.0025800084375 What is 1/6 of a year in months? 2 How many micrometers are there in 3/50 of a meter? 60000 How many grams are there in 47673.8 nanograms? 0.0000476738 What is 693.9058 grams in milligrams? 693905.8 What is 0.8405346 grams in tonnes? 0.0000008405346 What is 18/5 of a century in months? 4320 How many grams are there in 644738.1mg? 644.7381 How many milligrams are there in 1/10 of a kilogram? 100000 How many micrograms are there in seven halves of a milligram? 3500 How many years are there in 1/4 of a century? 25 How many milliseconds are there in 155767.7ns? 0.1557677 How many milliseconds are there in seven eighths of a second? 875 What is fourty-three quarters of a gram in milligrams? 10750 Convert 7696.345us to milliseconds. 7.696345 How many minutes are there in 52/3 of a day? 24960 How many months are there in 65/3 of a year? 260 What is 10/3 of a millennium in months? 40000 What is 240916.68 months in centuries? 200.7639 How many millilitres are there in 3/25 of a litre? 120 How many minutes are there in thirty-one halves of a day? 22320 How many millilitres are there in 42/5 of a litre? 8400 How many micrograms are there in fifty-one halves of a milligram? 25500 What is one sixteenth of a century in months? 75 How many millimeters are there in 8415.936m? 8415936 How many micrograms are there in 71965.03kg? 71965030000000 How many minutes are there in 27743.538us? 0.0004623923 What is 0.2080084 centuries in millennia? 0.02080084 How many grams are there in seventeen quarters of a kilogram? 4250 How many milligrams are there in 0.1223652kg? 122365.2 What is 55.58782 litres in millilitres? 55587.82 How many months are there in 52/3 of a year? 208 How many millimeters are there in 5.1139nm? 0.0000051139 What is 8.636798 millimeters in centimeters? 0.8636798 Convert 94.2104ug to nanograms. 94210.4 Convert 88.96268l to millilitres. 88962.68 How many nanograms are there in 3/32 of a milligram? 93750 How many litres are there in 0.2516286ml? 0.0002516286 What is 4/3 of a week in minutes? 13440 How many kilograms are there in 55/2 of a tonne? 27500 What is 901654.6cm in kilometers? 9.016546 How many years are there in 26/5 of a millennium? 5200 What is 34.8649 grams in milligrams? 34864.9 How many millilitres are there in 831160.8l? 831160800 What is 26/7 of a week in hours? 624 What is fifteen quarters of a gram in milligrams? 3750 How many millilitres are there in 18/5 of a litre? 3600 What is thirteen quarters of a decade in months? 390 What is
{ "pile_set_name": "DM Mathematics" }
k**(-2/7)*k)/k))/((k*k**14*k)/k**2))**27 assuming k is positive. k**(-11259/35) Simplify w**3/w**(2/17)*(w*w*w/((w/(w**(2/3)*w))/w))**(-7/3)*((w*w**(-2/15))/w**(4/9))/((w/w**(-1))/(w/(w*w/w**5*w))) assuming w is positive. w**(-1679/255) Simplify ((i*i*i**(2/7))**45/(i**1/(i**0/i)))/((i**2/(i**2*i))/(i**0*i)**50) assuming i is positive. i**(1063/7) Simplify ((g/(g*g*g**(-1)))**(2/71)/((g*g**(-2/3))/(g*g*g/g**(-1)*g*g)))/(g*g*g**(-12)/g*g**(2/21)/g)**(33/2) assuming g is positive. g**(4244/21) Simplify (j**(1/8)*j/(j/(j/j**(-2))))/(j/j**(1/9)*j/(j*j*j**(-3/4)))*(j**(-12)/j*j**3)**(4/9) assuming j is positive. j**(-47/24) Simplify (g/(g/(g/g**(-13/2))))**(1/8)*g**(-1/4)/(g**(-5/3)*g) assuming g is positive. g**(65/48) Simplify ((m/m**(-1/3))**(-18)*(m**1/m)**(1/3))/(((m*(m*m/(((m*m*(m/(m/(m*m**6))*m)/m)/m)/m))/m)/m)/(m**(2/9)/m)*m**(-5)*m**(1/2)) assuming m is positive. m**(-257/18) Simplify (l*l**(-3)*l*l/(l**(-3/4)*l)*(l/((l**1/l)/l))**(3/5))/((l**(1/3))**(-6/17))**44 assuming l is positive. l**(2083/340) Simplify ((t/t**(1/2)*t*t*t*t)**(-2/37)*(t*t*t/(t*t**4)*t*t)/t**(-2/3))/((((t*t*t**(1/6))/t)/t)/((t*t*t**4)/t))**36 assuming t is positive. t**(19361/111) Simplify ((n/(n*n*n**1)*n*n)**36/(n**(2/5))**(-13/4))/((n**2/n)/n**(-4)*n**(3/7)/n**(1/3)) assuming n is positive. n**(-797/210) Simplify (l**(-2/17)/(l**(-1/3)/l))**(21/2)*(((l/(l/(l/(l**(-4/5)*l))))/l)/(l/(l/(l/l**(-5)))))/(l**(2/7)/l**(1/3)) assuming l is positive. l**(11803/1785) Simplify ((v/v**(8/7)*v*v**(3/11))**(1/4))**(8/3) assuming v is positive. v**(58/77) Simplify (c/c**(13/5)*(c*c/c**(-8))/c*(c**(-1)/c)**2)**(14/3) assuming c is positive. c**(238/15) Simplify ((c**(-1/3))**(-33))**(-7)/(c*c*c**(4/7)*c*((((c/(c/(c/((c/c**(-6))/c))))/c*c)/c)/c*c)/c*c**2/(c**(3/2)/c)) assuming c is positive. c**(-1051/14) Simplify (w**2*w)**28/(w*w*w**2/w*w*w**8/w)*w/w**(1/6)*w*w**(1/4)*(w/((w/w**(-1)*w)/w))**(3/40) assuming w is positive. w**(9001/120) Simplify ((l**5)**(-2/93)*l**(-20)/l**12)**(8/15) assuming l is positive. l**(-23888/1395) Simplify ((z*(((z**9*z)/z)/z)/z*z*z)/z*z**(2/3))**(-2/149)*(z*(z**2/z)/z)**(-3/19)/(z*z/(z*z/z**(1/4)*z))**(-1/20) assuming z is positive. z**(-220919/679440) Simplify (i/i**(-4/5)*i**(-4/5)*i)**(-46)*i**6/(i*i**(-1/9)*i*i)*i**5*i**(-3)/i assuming i is positive. i**(-791/9) Simplify (l**5*l**(2/17))**(-28)*((l**(-2)/l*l)**(-4/15))**(-1) assuming l is positive. l**(-36676/255) Simplify ((a**(-1/4)/a)**(-1/36)/((a/(a*a**5/a))/a**(-2/7)))/((a/a**4)/a**(-4))**18 assuming a is positive. a**(-14365/1008) Simplify (b**(-2/39)*b/(b**(-10)*b*b)*b/(b*b**(4/7))*b/(b/b**(-26)))**(17/3) assuming b is positive. b**(-81787/819) Simplify (((w/(w/(w/(w**(-14)*w*w))))/w*w*w**(2/11)*w)/(w**(-1/14)/(w**(-11)/w)))**(39/5) assuming w is positive. w**(13533/770) Simplify (f/((f*f**(-20))/f)*f)**(-1/33)*(f**(-34)*f)/(f**(19/3)/f) assuming f is positive. f**(-39) Simplify ((d**(-1/2)/d)**(-4/9))**11*(d/d**(-2/3))**(11/5)/(d**(2/13)/d**(-2/7)) assuming d is positive. d**(961/91) Simplify ((l**(-1))**(-47))**29*(l**(2/7))**(-1/31)*(l/l**(-3/7))/(l*l*(l**(-4/3)/l*l)/l*l) assuming l is positive. l**(126829/93) Simplify (b**(4/13)/b**(2/9)*(b/(b/b**(-3)))**(-1))**(8/11) assuming b is positive. b**(2888/1287) Simplify (t**(1/10)/t**(-2/35)*t**15/t**(-11))**(-3/7) assuming t is positive. t**(-5493/490) Simplify (((w*w**(-1/6))/w**(-8/5))/((w/w**(-2/23))/w*w**(2/9)/w))**(17/4) assuming w is positive. w**(109939/8280) Simplify (w*w*w**0*w*w/(w/(w*((w*w*(w*w*(w/w**0)/w)/w*w)/w)/w)*w))/(w*(w*w*w/(w**(-2/5)/w))/w)**(-8)*(w**1*w*w**(1/2))/(w**(-1/4))**25 assuming w is positive. w**(979/20) Simplify (((l**(-1/2)*l)**23/(l**(-1/4)/(l**(-4)/l)))**36)**(1/53) assuming l is positive. l**(243/53) Simplify i*i*i**(-6)*i**(4/7)*(i**0)**(-4/11)*(i/(i/i**1))**(-14)/(i**1)**(-5/19) assuming i is positive. i**(-2283/133) Simplify ((c/c**0*c*c*c)**(-2/11)/(c**(2/5))**(-4/17))/((c*c*c/(c*(c/((c/(c/c**(-2/9)))/c))/c))/(c/c**6*c)*c**(-4/7)*c**(-4)) assuming c is positive. c**(-49451/58905) Simplify ((l/(l/l**(2/5)))**(-22/9))**(-43)*(l/(l*l**(-7/2))*l/l**2)**(5/7) assuming l is positive. l**(27613/630) Simplify ((x*x**(2/7)/x)**(-7/8)/(x*x*x**5*x**5))/((x**(-2/27)*x**4)/(x*x**(-1/3)/x*x*x)**(2/17))
{ "pile_set_name": "DM Mathematics" }
llmlllllllllllll. 1/171 Four letters picked without replacement from {i: 1, a: 1, b: 3}. Give prob of sequence ibab. 1/20 Four letters picked without replacement from {s: 3, m: 2}. Give prob of sequence sssm. 1/10 Four letters picked without replacement from {s: 3, y: 2, i: 8, o: 2}. Give prob of sequence yyso. 1/2730 Calculate prob of sequence pp when two letters picked without replacement from pwwpwwwwwwwpwwwwk. 3/136 Calculate prob of sequence ghz when three letters picked without replacement from {h: 4, a: 6, z: 1, q: 2, g: 2}. 4/1365 Calculate prob of sequence th when two letters picked without replacement from {h: 2, q: 1, t: 2, j: 7, g: 4}. 1/60 Two letters picked without replacement from zcwggwuxwgwww. Give prob of sequence ux. 1/156 Calculate prob of sequence xx when two letters picked without replacement from {x: 9, d: 10}. 4/19 Two letters picked without replacement from eeeedeeedee. What is prob of sequence ee? 36/55 What is prob of sequence ypps when four letters picked without replacement from ggyppgypvyppsgyy? 5/2184 Two letters picked without replacement from njihhijnhjnhinjjnnn. What is prob of sequence ih? 2/57 Three letters picked without replacement from ffaermx. Give prob of sequence xmf. 1/105 Four letters picked without replacement from adtdttavteat. What is prob of sequence dttt? 1/99 Four letters picked without replacement from {y: 5, h: 15}. Give prob of sequence hhyy. 35/969 Calculate prob of sequence gg when two letters picked without replacement from {g: 5, e: 2, a: 7}. 10/91 What is prob of sequence wll when three letters picked without replacement from {l: 5, w: 3}? 5/28 Three letters picked without replacement from cakkcakkgkkgkgkckk. Give prob of sequence kga. 5/408 Two letters picked without replacement from maamaaamaaaaaamaaa. What is prob of sequence ma? 28/153 Calculate prob of sequence rtt when three letters picked without replacement from jcrjt. 0 What is prob of sequence ee when two letters picked without replacement from eeeq? 1/2 What is prob of sequence bk when two letters picked without replacement from {b: 3, k: 13}? 13/80 Two letters picked without replacement from {u: 9, c: 2}. What is prob of sequence uu? 36/55 Four letters picked without replacement from flffcbfl. Give prob of sequence fclb. 1/210 Four letters picked without replacement from ggggggggaa. Give prob of sequence ggga. 2/15 Four letters picked without replacement from {a: 7, k: 9}. Give prob of sequence aakk. 9/130 What is prob of sequence aaxx when four letters picked without replacement from ayxyayxxyy? 1/420 Three letters picked without replacement from lllkllyylllzlllllydl. Give prob of sequence dkz. 1/6840 Calculate prob of sequence nmn when three letters picked without replacement from {n: 2, l: 2, b: 6, m: 1}. 1/495 Calculate prob of sequence hhk when three letters picked without replacement from hhhhkkhhhkkk. 7/44 Three letters picked without replacement from jjzzffjz. Give prob of sequence ffz. 1/56 What is prob of sequence ouj when three letters picked without replacement from ujhoouc? 2/105 Calculate prob of sequence lqpp when four letters picked without replacement from {l: 1, q: 3, p: 3}. 3/140 Four letters picked without replacement from {n: 2, k: 3, p: 1, w: 1, c: 3, b: 2}. Give prob of sequence ccpk. 1/660 What is prob of sequence bcg when three letters picked without replacement from {c: 2, b: 1, g: 2}? 1/15 Four letters picked without replacement from tnvivio. Give prob of sequence vtno. 1/420 Three letters picked without replacement from {o: 2, r: 2, p: 4, u: 2, n: 2}. What is prob of sequence uru? 1/330 Four letters picked without replacement from lliqlejlei. Give prob of sequence illl. 1/105 Three letters picked without replacement from ijiiiijiiji. Give prob of sequence jii. 28/165 Calculate prob of sequence xff when three letters picked without replacement from {x: 14, f: 5}. 140/2907 Four letters picked without replacement from {i: 2, u: 2, t: 11}. What is prob of sequence uuii? 1/8190 Three letters picked without replacement from {s: 4, z: 7, w: 5}. What is prob of sequence sww? 1/42 What is prob of sequence yyp when three letters picked without replacement from {y: 2, z: 1, p: 4, n: 2, t: 1, o: 2}? 1/165 Two letters picked without replacement from {b: 3, t: 4}. What is prob of sequence bt? 2/7 What is prob of sequence cbb when three letters picked without replacement from {m: 5, z: 3, a: 1, b: 1, c: 1, h: 1}? 0 Three letters picked without replacement from ruroyoyuooy. Give prob of sequence yyr. 2/165 Three letters picked without replacement from uuuccyynnscmy. What is prob of sequence nms? 1/858 Three letters picked without replacement from wnwwwwnwwnnnnnww. What is prob of sequence nww? 3/20 What is prob of sequence onno when four letters picked without replacement from nnwonwnwnnwnyvoo? 3/520 Four letters picked without replacement from sasvaygwg. What is prob of sequence vyws? 1/1512 What is prob of sequence orq when three letters picked without replacement from fyonrnqf? 1/336 What is prob of sequence zxm when three letters picked without replacement from {m: 2, p: 4, z: 1, x: 1, n: 7}? 1/1365 Calculate prob of sequence afa when three letters picked without replacement from {f: 9, a: 2}. 1/55 Three letters picked without replacement from {j: 5, m: 8}. Give prob of sequence mmj. 70/429 Two letters picked without replacement from {h: 6, t: 2, u: 1, b: 5, d: 3, z: 2}. What is prob of sequence dt? 1/57 Calculate prob of sequence yiz when three letters picked without replacement from {z: 1, l: 1, y: 3, o: 1, i: 3, d: 2}. 1/110 What is prob of sequence pp when two letters picked without replacement from uppppuppppupppp? 22/35 What is prob of sequence mg when two letters picked without replacement from gthmq? 1/20 Calculate prob of sequence nt when two letters picked without replacement from {u: 1, c: 1, n: 1, t: 2}. 1/10 Calculate prob of sequence fd when two letters picked without replacement from dddndfdnpfddnpd. 8/105 Three letters picked without replacement from {y: 3, k: 1, p: 2, s: 1, l: 1, x: 3}. Give prob of sequence plp. 1/495 Calculate prob of sequence ajj when three letters picked without replacement from uajjj. 1/10 Four letters picked without replacement from dmdddmddoodr. Give prob of sequence romo. 1/2970 Three letters picked without replacement from {h: 5, p: 2, w: 6}. Give prob of sequence whh. 10/143 Two letters picked without replacement from {t: 6, m: 1, r: 3, x: 2, u: 3}. Give prob of sequence mx. 1/105 Four letters picked without replacement from {n: 2, p: 5, r: 2, y: 9}. Give prob of sequence prnp. 1/918 What is prob of sequence qgdu when four letters picked without replacement from {g: 7, n: 4, q: 1, d: 4, j: 1, u: 2}? 7/11628 What is prob of sequence ddt when three letters picked without replacement from dtdtdddddd? 7/45 What is prob of sequence tg
{ "pile_set_name": "DM Mathematics" }
reatest common factor of 19550 and 4222018. 782 Calculate the highest common divisor of 207927 and 550800. 1377 What is the highest common divisor of 934 and 218270196? 934 Calculate the greatest common factor of 65 and 69179721. 13 Calculate the highest common factor of 928669659 and 17. 17 What is the highest common divisor of 27370408 and 1083444? 7684 Calculate the highest common divisor of 5168583 and 549. 9 Calculate the highest common divisor of 3076321 and 2032. 127 What is the greatest common factor of 11 and 32402150? 11 Calculate the highest common factor of 1125 and 2707750. 125 What is the highest common factor of 5393758 and 76? 38 Calculate the greatest common factor of 839150 and 1664. 26 What is the highest common divisor of 42876 and 1684868? 1588 What is the highest common divisor of 1520532 and 51623? 4693 Calculate the highest common divisor of 2106010 and 10. 10 What is the greatest common factor of 288 and 170581536? 288 Calculate the greatest common divisor of 1735688 and 1520. 152 What is the highest common factor of 4151720 and 17615? 1355 Calculate the highest common divisor of 6415292 and 943154. 2306 What is the greatest common factor of 10692822 and 6090? 1218 What is the greatest common factor of 176128 and 344? 344 What is the highest common divisor of 90093340 and 1220? 1220 What is the greatest common factor of 7858321 and 157? 157 Calculate the highest common divisor of 73344 and 256128. 384 Calculate the greatest common factor of 38016 and 10346292. 1188 Calculate the greatest common factor of 32 and 37584992. 32 Calculate the highest common factor of 135225 and 91275. 75 What is the highest common factor of 175566 and 69621? 3027 What is the greatest common divisor of 236272 and 65904? 16 What is the highest common factor of 132 and 32938840? 44 What is the greatest common factor of 1015 and 1008665? 35 What is the highest common factor of 2075688 and 7104192? 5448 What is the greatest common factor of 218541 and 105891? 2253 What is the highest common divisor of 2161848 and 39? 39 Calculate the highest common divisor of 29315 and 248870. 205 Calculate the highest common divisor of 329118839 and 10486. 5243 What is the highest common divisor of 47560 and 142390? 290 What is the highest common factor of 41138 and 70886? 134 Calculate the highest common divisor of 362 and 160902. 2 What is the highest common divisor of 52263806 and 1939? 1939 Calculate the highest common divisor of 751653 and 3649. 41 What is the highest common divisor of 894311 and 317813? 7391 Calculate the greatest common divisor of 36 and 467001702. 18 Calculate the greatest common factor of 135189 and 7767. 9 Calculate the greatest common divisor of 10656420 and 735. 15 What is the highest common factor of 6325 and 241100? 25 Calculate the highest common divisor of 1045382 and 2314. 26 Calculate the highest common factor of 1442070 and 1134. 378 What is the greatest common factor of 126672656 and 352? 176 What is the highest common factor of 180 and 14543865? 45 What is the greatest common divisor of 49 and 1192395? 1 What is the highest common factor of 18841403 and 39486? 6581 What is the highest common factor of 15 and 106182880? 5 What is the highest common factor of 1539 and 130404087? 1539 What is the greatest common factor of 9020427 and 234? 39 What is the greatest common divisor of 371330595 and 45? 45 Calculate the highest common factor of 93347 and 89165. 17 Calculate the highest common divisor of 77 and 56119448. 77 Calculate the highest common factor of 2060107 and 1764. 49 What is the greatest common divisor of 362 and 16770374? 362 What is the greatest common factor of 434882 and 6328? 14 Calculate the greatest common divisor of 742 and 38959382. 14 What is the greatest common divisor of 11083540 and 10020? 20 What is the greatest common factor of 146 and 6320851? 73 Calculate the greatest common factor of 16 and 57973624. 8 Calculate the highest common divisor of 478 and 22097940. 478 What is the greatest common divisor of 3502311 and 993? 993 What is the highest common factor of 1352034 and 1798? 62 What is the greatest common factor of 4217 and 121420081? 4217 Calculate the highest common divisor of 1012 and 47547302. 506 What is the highest common factor of 20500 and 21205500? 500 What is the highest common factor of 1370787 and 33? 33 Calculate the highest common factor of 3810653 and 3681. 409 Calculate the greatest common divisor of 102095114 and 1518. 506 Calculate the highest common factor of 22953684 and 624. 156 Calculate the highest common divisor of 13046992 and 42. 14 Calculate the greatest common divisor of 523127 and 1185448. 209 What is the greatest common divisor of 6832966 and 126? 14 Calculate the greatest common factor of 12026425 and 53245. 2315 What is the highest common divisor of 11235 and 129801165? 1605 What is the highest common factor of 112906208 and 76? 76 Calculate the greatest common factor of 327 and 488256998. 109 What is the greatest common factor of 23 and 30529694? 23 What is the greatest common factor of 51044230 and 10? 10 What is the highest common factor of 75949251 and 8721? 969 Calculate the highest common factor of 8583410 and 1045. 55 Calculate the greatest common factor of 136253 and 6244. 223 Calculate the greatest common divisor of 78645273 and 2161. 2161 Calculate the highest common divisor of 19600 and 535795400. 9800 Calculate the highest common divisor of 47437 and 3295136. 1157 Calculate the highest common factor of 194929 and 889. 7 Calculate the greatest common divisor of 67 and 241846349. 67 What is the greatest common factor of 5037803 and 73? 73 What is the highest common divisor of 3674940 and 24495? 345 What is the highest common factor of 3008441 and 14269? 19 Calculate the greatest common factor of 22196372 and 1240. 124 Calculate the greatest common divisor of 2375 and 1118359. 19 What is the greatest common divisor of 76478502 and 710? 142 Calculate the greatest common divisor of 4349741 and 209. 11 What is the highest common divisor of 21641 and 168929? 323 Calculate the highest common factor of 1981792 and 8653. 17 Calculate the highest common divisor of 29277 and 4012. 1 What is the greatest common divisor of 99530 and 23776910? 2690 What is the greatest common factor of 47701480 and 5? 5 What is the highest common divisor of 10272964 and 66300? 884 What is the highest common factor of 3600 and 442368? 144 Calculate the highest common divisor of 11522142 and 2976. 186 What is the greatest common divisor of 3559962 and 105? 21 Calculate the greatest common divisor of 6208 and 3241352. 776 What is the greatest common divisor of 42 and 4100999? 7 Calculate the greatest common divisor of 97276625 and 175. 25 What is the greatest common factor of 103392 and 4626433? 359 Calculate the greatest common divisor of 27920765 and 812. 29 What is the greatest common factor of 446307990 and 5430? 5430 Calculate the greatest common divisor of 500 and 559525. 25 What is the highest common factor of 3162012816 and 16? 16 Calculate the highest common divisor of 150 and 17429300. 50 What is the greatest common factor of 40077 and 25019874? 657 What is the greatest common divisor of 980 and 18480595? 245 Calculate the greatest common divisor of 728823600 and 240. 240 What is the highest common divisor of 4603176 and 108? 108 Calculate the highest common divisor of 16723250 and 3101. 443 Calculate the highest common factor of 8457024 and 663. 51 Calculate the highest common factor of 246 and 177
{ "pile_set_name": "DM Mathematics" }
)*5)/(sqrt(7) - sqrt(77)/(-2*sqrt(11)))). sqrt(3)/2 + 3 Simplify ((4*(sqrt(450) + sqrt(450)*-2*6 + -2*sqrt(450)*2))/(sqrt(27)/((sqrt(30)/sqrt(5))/sqrt(2))*5))**2. 7200 Simplify ((-3*(sqrt(132)/(sqrt(6)/sqrt(2)) + -1*sqrt(44)*-3))/(sqrt(196) + sqrt(196)*4 - 4*sqrt(32)/sqrt(8)))**2. 1584/961 Simplify (sqrt(60) + (sqrt(420) - sqrt(420)*2)/sqrt(7))/((sqrt(108) + (sqrt(108) - sqrt(108)*-1))/sqrt(9)) + (sqrt(60) - sqrt(540)*2)/(sqrt(12) - sqrt(108)*1). 5*sqrt(5)/2 Simplify (sqrt(288)*-2)**2*6*4 + 4 + 4*(-3 + (sqrt(288) - (-2 + sqrt(288)*-1))). 96*sqrt(2) + 27648 Simplify ((sqrt(104)*-3*2 + sqrt(104))/(sqrt(8) + 5*1*sqrt(8)) + 0 + 5)*-5. -25 + 25*sqrt(13)/6 Simplify (-2*(-3 + sqrt(176) + sqrt(176)*2 + -1 + 2)*2*4)**2. -12288*sqrt(11) + 406528 Simplify (5 + (sqrt(2057) - (sqrt(2057) + 1))*5 + -1 + 2)*2*-4. -8 Simplify (-5 + (5 + 6*(1*sqrt(1900) - sqrt(1900)) - -5*(sqrt(1900) + 6*(sqrt(1900) + -2))))**2. -42000*sqrt(19) + 2331100 Simplify (((-2 + sqrt(1331))*-6)**2 - (-6*(sqrt(1331)*-1)**2 - sqrt(1331))) + -1 - (3*6*6*(-3 + sqrt(1331)))**2. -15573715 + 768251*sqrt(11) Simplify -4*((1 + sqrt(180) + -3)**2 - (sqrt(180) + 0 + sqrt(180)*-2 + sqrt(180))**2) - ((sqrt(40) - -5*(sqrt(40) - sqrt(80)/sqrt(2)))/sqrt(8)*-5 + -5). -731 + 101*sqrt(5) Simplify (((sqrt(117) - (sqrt(117) + 2))*4 - -1*sqrt(117)*1) + 1 + sqrt(117) + 5 + (sqrt(117) - (sqrt(117) + sqrt(117) + 2 + -2)) + 2)**2. 117 Simplify ((sqrt(343) + 5 + 2)*2)**2 - ((sqrt(448) + 0)**2 - (2 + sqrt(175))). 397*sqrt(7) + 1122 Simplify (sqrt(1900) + (sqrt(1900)*-1 - sqrt(1900)) + -1 + -2*-2*sqrt(1900) + 2 + -2 + 2*sqrt(1900))**2. -100*sqrt(19) + 47501 Simplify (5*(-1 + -6*(3*sqrt(325) + 5))*-1)**2*3. 418500*sqrt(13) + 7969575 Simplify (-4*(-1*sqrt(1210) + sqrt(10) + (sqrt(10) - sqrt(250)*1)))/(-1*-3*sqrt(288)*-1). -14*sqrt(5)/9 Simplify 4*((sqrt(96)*-2*-6)/(sqrt(400)*-1))/(((sqrt(56) - 1*(sqrt(56)*-2 - sqrt(56))) + sqrt(56))/(sqrt(175)*-1)). 24*sqrt(3)/5 Simplify ((sqrt(17) + (sqrt(153) + sqrt(153)*-3)/sqrt(9))*4 + 5)**2 - -1*(sqrt(17) + (-2 + sqrt(153) - sqrt(153)))**2*1. -44*sqrt(17) + 318 Simplify (((sqrt(90) + 2*sqrt(90)*4)/(-6*1*sqrt(9)))/(sqrt(18)/(sqrt(9) + sqrt(45)/sqrt(5) + sqrt(9)) + (sqrt(384) + sqrt(24))/sqrt(12)))**2. 405/1024 Simplify (6*(-1*sqrt(91)*4 - sqrt(91))*-4)/((sqrt(42)/sqrt(12))/(sqrt(12)/sqrt(54))). 80*sqrt(13) Simplify (-1*-4*sqrt(135)/sqrt(5))**2 + -5*((-4 + sqrt(300))**2 + 3). -1163 + 400*sqrt(3) Simplify (sqrt(136) + (sqrt(136) - 4*1*sqrt(136)) + sqrt(136) + sqrt(136))/(sqrt(16)/(sqrt(2) - (sqrt(18) + sqrt(2)))) + -3 + (-1 + 2 + sqrt(1700))**2. 20*sqrt(17) + 1698 Simplify ((sqrt(36)/sqrt(2)*-1 - (sqrt(18) + sqrt(18) + -1 + sqrt(18) + -2 - sqrt(18)) - (-1 + sqrt(72) - sqrt(18))*-6)**2 + 4)*5. -270*sqrt(2) + 875 Simplify 2*(-3 + 1 + (1 + -4 + sqrt(162) - (0 + sqrt(162) + 2)) + 3)**2. 32 Simplify 4*(-2 + 4*((-2 + sqrt(832))*6 + 4 + -1*sqrt(832)))**2. -43520*sqrt(13) + 1335824 Simplify ((5*(sqrt(240) - sqrt(240)*-2))/sqrt(4))/(-3*(sqrt(300) - (1*sqrt(300) - sqrt(300)))*-2). sqrt(5)/2 Simplify -3*(4 + (sqrt(200) + 2 + -4 - (sqrt(200) + (2*sqrt(200)*-4 - sqrt(200))))**2 + 1)*-3. -3240*sqrt(2) + 145881 Simplify 3 + ((-4 + sqrt(1584)*-1 - sqrt(1584)*-1*2)*-1 + 6*(3 + (sqrt(1584) + 1)*-3))**2. -1824*sqrt(11) + 571843 Simplify -4 + ((1 + 5*-1*sqrt(275) - (3*sqrt(275)*-1 - (2 + -1 + sqrt(275) - sqrt(275)))) + 4)**2. -120*sqrt(11) + 1132 Simplify (sqrt(19) + -2)*1 - sqrt(19) - (sqrt(171)/(sqrt(9) - sqrt(576)))**2 - -5*4*(sqrt(19) - (-1*sqrt(209))/sqrt(11)). -117/49 + 40*sqrt(19) Simplify (sqrt(10) + -1*sqrt(10)*-3 + sqrt(10))/(sqrt(72) + sqrt(72)*3 + sqrt(72)) - ((-2*sqrt(330))/sqrt(11))/(sqrt(726) + sqrt(726)*3). 7*sqrt(5)/33 Simplify (-2*(sqrt(288) + 3 + sqrt(288)) + -3 + -5 + ((sqrt(288) + 1)*2 + sqrt(288) - sqrt(288)))**2 + 3. 576*sqrt(2) + 1299 Simplify (sqrt(7) - (sqrt(847)*-2 + sqrt(847)))*4 - (-1 + sqrt(28)/sqrt(4) + -4*(-1 + sqrt(7)))**2 - (1 + (4 + 5*(-2 + sqrt(567)))**2). -14284 + 606*sqrt(7) Simplify 5 + -3 + -4 + 1 + (2*(4 + 2*sqrt(343)))**2. 448*sqrt(7) + 5551 Simplify sqrt(10)/sqrt(32)*-6 + (sqrt(180) + 1 + 4)*-1. -15*sqrt(5)/2 - 5 Simplify (sqrt(1900) + sqrt(1900) + 2*sqrt(1900) + 5 + (sqrt(1900) + 1)*-5 + -3 + -2)**2*3*-3. -17325 - 900*sqrt(19) Simplify (sqrt(156) - -3*(sqrt(156) - sqrt(156)*-1))/sqrt(12)*-3 + -2*((sqrt(13) - 4*(sqrt(13) + sqrt(208))) + -2*sqrt(832))**2. -31850 - 21*sqrt(13) Simplify -3*(sqrt(30)/sqrt(6)*-2 + 1) - (sqrt(1375)*1)/(sqrt(704) + 1*sqrt(704)). -3 + 91*sqrt(5)/
{ "pile_set_name": "DM Mathematics" }
root of 122993 to the nearest integer? 351 What is the cube root of 86929 to the nearest integer? 44 What is the square root of 1536 to the nearest integer? 39 What is the third root of 104 to the nearest integer? 5 What is 24630 to the power of 1/10, to the nearest integer? 3 What is 2497 to the power of 1/3, to the nearest integer? 14 What is the cube root of 98124 to the nearest integer? 46 What is the ninth root of 1237 to the nearest integer? 2 What is the square root of 12285 to the nearest integer? 111 What is 10278 to the power of 1/8, to the nearest integer? 3 What is 101882 to the power of 1/8, to the nearest integer? 4 What is the sixth root of 3759 to the nearest integer? 4 What is the cube root of 16463 to the nearest integer? 25 What is the fourth root of 35242 to the nearest integer? 14 What is the square root of 35843 to the nearest integer? 189 What is 44382 to the power of 1/3, to the nearest integer? 35 What is the tenth root of 40442 to the nearest integer? 3 What is 5311 to the power of 1/3, to the nearest integer? 17 What is 1698 to the power of 1/2, to the nearest integer? 41 What is the seventh root of 13215 to the nearest integer? 4 What is the square root of 10031 to the nearest integer? 100 What is 19361 to the power of 1/6, to the nearest integer? 5 What is 602 to the power of 1/3, to the nearest integer? 8 What is the fifth root of 80 to the nearest integer? 2 What is 7081 to the power of 1/5, to the nearest integer? 6 What is the third root of 966 to the nearest integer? 10 What is 1256 to the power of 1/8, to the nearest integer? 2 What is the square root of 70763 to the nearest integer? 266 What is 1641 to the power of 1/5, to the nearest integer? 4 What is 911 to the power of 1/2, to the nearest integer? 30 What is 56255 to the power of 1/6, to the nearest integer? 6 What is the fourth root of 9274 to the nearest integer? 10 What is the square root of 1466 to the nearest integer? 38 What is the cube root of 133689 to the nearest integer? 51 What is 323 to the power of 1/3, to the nearest integer? 7 What is 8168 to the power of 1/2, to the nearest integer? 90 What is the square root of 6470 to the nearest integer? 80 What is 4586 to the power of 1/2, to the nearest integer? 68 What is the cube root of 2291 to the nearest integer? 13 What is 45555 to the power of 1/3, to the nearest integer? 36 What is the square root of 44382 to the nearest integer? 211 What is the fourth root of 8858 to the nearest integer? 10 What is 13875 to the power of 1/5, to the nearest integer? 7 What is 11411 to the power of 1/7, to the nearest integer? 4 What is 46 to the power of 1/8, to the nearest integer? 2 What is 436 to the power of 1/3, to the nearest integer? 8 What is the seventh root of 20872 to the nearest integer? 4 What is the seventh root of 2413 to the nearest integer? 3 What is 1524 to the power of 1/8, to the nearest integer? 2 What is 1840 to the power of 1/2, to the nearest integer? 43 What is 3205 to the power of 1/5, to the nearest integer? 5 What is 2796 to the power of 1/2, to the nearest integer? 53 What is the square root of 3047 to the nearest integer? 55 What is the square root of 33090 to the nearest integer? 182 What is 62482 to the power of 1/2, to the nearest integer? 250 What is the sixth root of 1223 to the nearest integer? 3 What is the seventh root of 9942 to the nearest integer? 4 What is 11233 to the power of 1/7, to the nearest integer? 4 What is 136 to the power of 1/2, to the nearest integer? 12 What is the seventh root of 1949 to the nearest integer? 3 What is 2276 to the power of 1/2, to the nearest integer? 48 What is the third root of 95618 to the nearest integer? 46 What is 6452 to the power of 1/9, to the nearest integer? 3 What is the cube root of 63750 to the nearest integer? 40 What is 5858 to the power of 1/2, to the nearest integer? 77 What is 4388 to the power of 1/8, to the nearest integer? 3 What is 6651 to the power of 1/7, to the nearest integer? 4 What is 5922 to the power of 1/7, to the nearest integer? 3 What is the third root of 5847 to the nearest integer? 18 What is 1062 to the power of 1/3, to the nearest integer? 10 What is the eighth root of 110 to the nearest integer? 2 What is 2124 to the power of 1/2, to the nearest integer? 46 What is 63403 to the power of 1/2, to the nearest integer? 252 What is the seventh root of 18070 to the nearest integer? 4 What is the eighth root of 3376 to the nearest integer? 3 What is 151438 to the power of 1/7, to the nearest integer? 5 What is 707 to the power of 1/3, to the nearest integer? 9 What is 5497 to the power of 1/7, to the nearest integer? 3 What is the seventh root of 1464 to the nearest integer? 3 What is the third root of 5645 to the nearest integer? 18 What is the third root of 454 to the nearest integer? 8 What is the cube root of 4802 to the nearest integer? 17 What is the cube root of 1558 to the nearest integer? 12 What is 36602 to the power of 1/7, to the nearest integer? 4 What is 1880 to the power of 1/4, to the nearest integer? 7 What is the third root of 98916 to the nearest integer? 46 What is the eighth root of 686 to the nearest integer? 2 What is the third root of 20121 to the nearest integer? 27 What is 8057 to the power of 1/7, to the nearest integer? 4 What is the cube root of 2153 to the nearest integer? 13 What is the seventh root of 3692 to the nearest integer? 3 What is the square root of 997 to the nearest integer? 32 What is 4049 to the power of 1/2, to the nearest integer? 64 What is 8974 to the power of 1/2, to the nearest integer? 95 What is the cube root of 14225 to the nearest integer? 24 What is the ninth root of 3481 to the nearest integer? 2 What is the cube root of 933 to the nearest integer? 10 What is the seventh root of 2026 to the nearest integer? 3 What is the fourth root of 20318 to the nearest integer? 12 What is 5907 to the power of 1/2, to the nearest integer? 77 What is the square root of 597 to the nearest integer? 24 What is the cube root of 6180 to the nearest integer? 18 What is 9750 to the power of 1/8, to the nearest integer? 3 What is 15139 to the power of 1/7, to the nearest integer? 4 What is 36708 to the power of 1/4, to the nearest integer? 14 What is 25848 to the power of 1/3, to the nearest integer? 30 What is the eighth root of 12764 to the nearest integer? 3 What is the ninth root of 16149 to the nearest integer? 3 What is the fifth root of 11897 to the nearest integer? 7 What is 6488 to the power of 1/3, to the nearest integer? 19 What is the ninth root of 6099 to the nearest integer? 3 What is the sixth root of 1104 to the nearest integer? 3 What is the eighth root of 11292 to the nearest integer? 3 What is 58849 to the power of 1/2, to the nearest integer? 243 What is 391 to the power of 1/2, to the nearest integer? 20 What is 3656 to
{ "pile_set_name": "DM Mathematics" }
*b - 2*b. List the prime factors of t. 2, 11 Let n = 21 - 15. Suppose -n*m - 2 = -5*m. What are the prime factors of 9/(1/(-2)*m)? 3 Let q be 3/9*0 - -1. Suppose -4 = -x + q. Suppose -x*b + 0*b + 40 = 0. What are the prime factors of b? 2 Suppose x + 5*x - 192 = 0. What are the prime factors of x? 2 Let x(v) = -v**3 + 5*v**2 + v - 5. Let n be x(5). Suppose -3*t - t + 4*o = 0, -3*t - 3*o + 30 = n. Suppose t*h = -0*h + 55. What are the prime factors of h? 11 Let p = -110 + 248. Suppose z = 4*z - p. List the prime factors of z. 2, 23 Suppose -j = -3*j + 10. Suppose 18 = 4*m + 5*p - 0, 0 = -2*m - j*p + 14. What are the prime factors of m? 2 Let o(q) = q**2 + 8*q + 9. List the prime factors of o(7). 2, 3, 19 Let n(t) be the first derivative of -t**3/3 + 2*t**2 - 3*t - 1. Let k(s) = -3*s**2 + 13*s - 10. Let y(l) = 6*k(l) - 17*n(l). What are the prime factors of y(7)? 2, 3 Suppose -3*k + 14 = -2*m, 5*k + m = 3*k. Let v = 0 - k. Let p(b) = 2*b**2 + b - 1. List the prime factors of p(v). 5 Let z = 173 - 103. Suppose -g - 4*c = -2, -4*g = -c - z - 23. List the prime factors of g. 2, 11 Let f = -2 - 13. Let o = -11 - f. Suppose 23 = 4*m - p, -o*m - 5*p - 9 = -62. List the prime factors of m. 7 Let b = -4 - -8. Let c be 14/4 + 2/4. Suppose 8*g - b*g + 4 = m, c*g - 44 = -3*m. List the prime factors of m. 2, 3 Let q = -5 - -10. Suppose 131 = q*f + m, -5*f + 4*m + 64 = -87. List the prime factors of f. 3 Let p = 11 - 4. List the prime factors of p. 7 Let g(z) = -z**2 - 7*z + 5. Let t be g(-7). Let q = 4 + 1. Suppose -b = -t*b + 4*w + 48, -q*w = -b + 32. List the prime factors of b. 7 Let l(d) = -d**3 - 8*d**2 + 7. Let h be l(-8). What are the prime factors of h/((-21)/(-6)) - -17? 19 Suppose -15*z - 176 = -17*z. List the prime factors of z. 2, 11 Let x(l) be the second derivative of 2*l**3/3 + 9*l**2/2 + l. Let y(b) = b + 3. Let z(w) = -3*x(w) + 8*y(w). What are the prime factors of z(-2)? 5 Let o(d) = 5*d + 1. Let j = 3 + -2. What are the prime factors of o(j)? 2, 3 Let q(l) = -l**3 + 2*l**2 + 3*l + 3. Let v be q(3). Suppose 0 = 3*n + v*a - 0 - 36, 0 = -3*n + 3*a + 6. What are the prime factors of n? 7 Let v(z) = -z**3 + 11*z**2 - z + 5. Let p be v(11). List the prime factors of (4/p)/(8/(-444)). 37 Let c = 320 + -185. List the prime factors of c. 3, 5 Let d be ((-1)/((-1)/(-47)))/1. Let w = -2 - d. Suppose 0*r + w = 5*r. List the prime factors of r. 3 Let m = 8 + -5. Suppose -5*n = o - 36, 33 = m*o + 4*n - 97. What are the prime factors of o? 2, 23 Let b be 6/(-21) - 30/(-7). Suppose b*s + 8 = 72. List the prime factors of s. 2 Let m(z) = z**3 - z**2 - 4*z - 4. Let b be m(3). What are the prime factors of (b - 0)/(4/116)? 2, 29 What are the prime factors of 1*(34 - 1) + 3? 2, 3 List the prime factors of (-3 + (-88)/(-12))*33. 11, 13 Let u be (-3 + 4)/(-1 - -2). What are the prime factors of u*-3 - (-21)/3? 2 Suppose 4*k - 3 = 1. Let x = k + 2. List the prime factors of 1/(-3) - (-31)/x. 2, 5 Suppose 5*b = -5*o + 151 - 51, -4*o - 3*b = -77. What are the prime factors of o? 17 Let q(y) be the second derivative of -y**4/24 + 7*y**3/6 + y**2/2 + y. Let u(g) be the first derivative of q(g). What are the prime factors of u(0)? 7 Suppose h + 5*b - 4*b = -23, 79 = -3*h - b. Let r = -15 - h. List the prime factors of r. 13 Suppose 2*y + 0*y = 72. What are the prime factors of y? 2, 3 Let c = -97 + 316. What are the prime factors of c? 3, 73 Suppose 0*p = -3*p + 6. Let s be 35 + (p - (2 - 0)). Suppose 6*a = a + s. List the prime factors of a. 7 Let o(j) = 10*j - 2. Let r be 4 - 2 - 2 - -4. Let x be o(r). Let w = -21 + x. List the prime factors of w. 17 Let f(d) = d**3 - 7*d**2 - 5*d + 9. What are the prime factors of f(8)? 3, 11 Let k be 2/6 + 140/21. Suppose -w - 4*q - 20 = 0, 4*w - 2*q + k*q + 25 = 0. Suppose -3*f + w*s = 2*s - 8, 2*s = -5*f + 16. List the prime factors of f. 2 Suppose 3*b + 5 = -1. Let h be 2*2 - (b + 2). Let o = 12 - h. List the prime factors of o. 2 Let f = 137 + -45. List the prime factors of f. 2, 23 Let a(z) be the second derivative of -z**3/6 - 4*z**2 - z. Let q be a(0). List the prime factors of q/((2 - 0)/(-1)). 2 Let r(i) = 8*i**2 + 1. Let w be r(1). Suppose 4*z = -z - 20. Let m = w + z. What are the prime factors of m? 5 Let f(h) = -h**3 + 10*h**2 + 4. Let w be f(10). Suppose 5*v = -o - 2*o + 111, 0 = -5*o - w*v + 198. What are the prime factors of o? 2, 3, 7 Suppose d = 5*k + 224, d - 1212 = -4*d + 2*k. List the prime factors of d. 2, 61 Let a be (12/(-15))/((-2)/5). Suppose -47 = -a*r + 7. What are the prime factors of r? 3 Suppose 3*s + 63 = 294. What are the prime factors of s? 7, 11 Suppose -3*r = -f - 44, r - f = -3*r + 58. What are the prime factors of r/6 + 1/(-3)? 2 Suppose 0
{ "pile_set_name": "DM Mathematics" }
t y(m) = -13*m + 44. Let g(z) = -9*x(z) + 2*y(z). Let u be g(16). Differentiate -5 - u + 1 + 1 + 12*b**3 wrt b. 36*b**2 Let i(r) be the first derivative of 5*r**8/168 + 5*r**5/12 + 67*r**2/2 - 29. Let s(o) be the second derivative of i(o). Find the third derivative of s(t) wrt t. 600*t**2 What is the third derivative of -2523*q**2 - 30*q**2 - 78*q**3 + 2568*q**3 + 363*q**2 - 1490*q**2 wrt q? 14940 Let y(p) be the first derivative of 156 + 83/3*p**3 + 0*p**2 + 44*p. Find the first derivative of y(h) wrt h. 166*h Let u = 73 + -71. Let q = 14 + -4. Find the third derivative of -3*n**u + 10*n**3 - 31*n**3 + q*n**2 wrt n. -126 Let q = -2525/2 + 1271. Let k(a) be the first derivative of -15 - q*a**2 + 14*a. What is the derivative of k(v) wrt v? -17 Let a(v) = 4549*v**2 - 59*v - 53. Let p(c) = 2275*c**2 - 29*c - 26. Let y(f) = 6*a(f) - 13*p(f). Find the second derivative of y(m) wrt m. -4562 Let h(i) be the first derivative of 16*i**6/3 - 57*i**5/5 - i**4/4 - 4*i**3/3 - 227*i**2/2 - 4*i - 6917. What is the third derivative of h(b) wrt b? 1920*b**2 - 1368*b - 6 Suppose -5*l - 3*h + 0*h + 12 = 0, l - h = 4. Find the third derivative of 3*v**3 - 779*v**4 + 131*v**2 - 167*v**6 - l*v**3 + 779*v**4 wrt v. -20040*v**3 Let w(n) be the second derivative of n**4/12 - 5*n**3/3 + 23*n**2/2 + 13*n. Let o be w(7). What is the second derivative of 11*a + 6*a**2 - o*a + 12*a**2 wrt a? 36 Suppose 4*z + 3*s - 495 = 6*s, 4*z - s - 501 = 0. Suppose z = h + 6*h. What is the first derivative of h - 3*m - 4*m**2 - 67 - m + 2*m**2 wrt m? -4*m - 4 Let z = -23 + 26. Suppose -5*y + 3*f = -8, -y = -5*f + z*f + 4. What is the third derivative of k**3 + 303*k**4 + 21*k**2 - 283*k**y - k**3 wrt k? 480*k What is the first derivative of 151 + 532 + 915*o - 402 + 317 + 370 wrt o? 915 Let i(x) = 500*x - 3279. Let n(f) = 1500*f - 9837. Let o(a) = -19*i(a) + 6*n(a). Differentiate o(v) wrt v. -500 Suppose -3*m - p + 35587 = 0, -4*p = -3*m + 57371 - 21759. What is the third derivative of 29*n**3 + 1 + 31*n**3 + 33*n**2 + m*n - 11864*n wrt n? 360 Let r(o) = -64*o**4 - 18*o**3 + 4997. Let m(t) = -446*t**4 - 126*t**3 + 34980. Let f(s) = -3*m(s) + 20*r(s). What is the first derivative of f(i) wrt i? 232*i**3 + 54*i**2 Let c(q) = 54*q**2 - 18*q - 1393. Let h(k) = -54*k**2 + 15*k + 1392. Let v(a) = 6*c(a) + 7*h(a). Differentiate v(t) with respect to t. -108*t - 3 Let d(n) be the first derivative of -128*n**3/3 + n**2 + 1039*n + 88. What is the derivative of d(z) wrt z? -256*z + 2 Suppose 4*x = -3*t + 23, t + 2*x + 2*x - 21 = 0. Suppose t = -4*o + 9. What is the first derivative of 4*k**o - 15*k**2 + 4*k**2 - 16 wrt k? -14*k Let m(x) = 665*x + 2086. Let n(j) = 665*j + 2062. Let g(f) = -5*m(f) + 6*n(f). What is the derivative of g(z) wrt z? 665 Let o(q) be the second derivative of 1069*q**7/42 + 13*q**4/12 - 14*q**2 - 1849*q. Find the third derivative of o(w) wrt w. 64140*w**2 Suppose -2*a - 2 = 0, 18 = -2*c + 5*a - 7. Let r(k) = 2*k - 2. Let f(u) = -47*u - 1. Let q(v) = c*r(v) - 3*f(v). Differentiate q(m) wrt m. 111 Suppose 314*p - 321*p + 112 = 0. Find the second derivative of -15*w**4 + 5*w**4 - 12*w**4 + 3*w**3 - p*w**4 - 163*w wrt w. -456*w**2 + 18*w Let f(o) be the first derivative of 291*o**6/2 - 2*o**5/5 - 2772*o**2 + 5659. Find the second derivative of f(z) wrt z. 17460*z**3 - 24*z**2 Let m(d) be the first derivative of 1/3*d**6 - 8 - 41/2*d**2 + 0*d**3 + 0*d + 0*d**5 + 0*d**4. What is the second derivative of m(t) wrt t? 40*t**3 Let g(y) be the third derivative of -7*y**5/60 - 11*y**4/8 + 41*y**3/6 + y**2 - 382. Find the first derivative of g(z) wrt z. -14*z - 33 Let c(n) be the second derivative of 513*n**5/20 - n**4/6 - n**3/3 + 5035*n**2 - 6384*n. What is the first derivative of c(z) wrt z? 1539*z**2 - 4*z - 2 What is the second derivative of 1431*p + 60*p**5 + 3*p**4 - 20*p**5 - 2729*p wrt p? 800*p**3 + 36*p**2 Let p = 14 + -12. Find the second derivative of -18*m**4 - 14*m**4 + p - 8*m - 25*m - 1 wrt m. -384*m**2 Let a(h) = -3404*h**2 - 410*h - 110. Let w(b) = 681*b**2 + 82*b + 21. Let i(s) = 3*a(s) + 16*w(s). What is the second derivative of i(m) wrt m? 1368 Let a(t) be the third derivative of 0*t + 8*t**2 + 0*t**3 + 0*t**5 - 1/24*t**4 - 11/60*t**6 + 0. Find the second derivative of a(r) wrt r. -132*r Suppose 0 = -53*b + 56*b - 75. What is the first derivative of 85 + 0 + b - 53*k - 73*k + 43 wrt k? -126 Suppose -4*n - 2 + 2
{ "pile_set_name": "DM Mathematics" }
rt -4, 3, h, g in descending order. 3, g, h, -4 Let g be -30*(6 - 3)/(-9). Sort g, 4, 2 in decreasing order. g, 4, 2 Let g = 3.5 + -4. Let b = 1.5 + g. Let n = -2.6 - -2.1. Sort n, 0.2, b. n, 0.2, b Let h = 2.2 + -12.2. Let f = -7 - h. Sort -0.1, 1, f. -0.1, 1, f Suppose 8 = 3*m + y + 1, -y = -5*m + 1. Let k(r) = -r**2 + r + 3*r**2 - r**3 - 3*r**2 + 15 - 11*r**2. Let f be k(-12). Put f, 5, m in increasing order. m, f, 5 Let t(z) = -7*z**2 + 14*z + 3. Let q be t(2). Sort 5, -20, q in ascending order. -20, q, 5 Suppose -16*y = 2*y - 54. Put -12, -2, y, -4 in increasing order. -12, -4, -2, y Let j = -2 + 2. Let g = 0.2299 - 0.1299. Sort j, 1, g, 1/14 in descending order. 1, g, 1/14, j Let n(r) = -32*r**2 + 257*r - 6. Let h be n(8). Suppose 6*k - 15 = k. Put k, h, -3, 1 in ascending order. -3, 1, h, k Let m = 1.37 + -0.97. Sort -2/17, m, -1/3. -1/3, -2/17, m Let n = -400 - -608. Sort 2, n, 0 in ascending order. 0, 2, n Let j = 36.9 - 16.1. Let p = j - 21. Let c = -1.9 + 2.4. Sort p, c, 5 in descending order. 5, c, p Let j = -41 + 18. Let x = 37 + j. Let l = 12 - x. Sort -4, l, -1 in ascending order. -4, l, -1 Let o be 1*(-10)/15*6/16. Sort 4, 2, 0.06, o. o, 0.06, 2, 4 Let j(v) = 7*v**2 - 3*v + 2. Let c be j(1). Sort 8, c, -4 in descending order. 8, c, -4 Let c = -34 + 30. Let v(t) = -3*t - 12. Let d be v(c). Put d, -5, 3 in increasing order. -5, d, 3 Suppose -8*i - 150 + 118 = 0. Let g be (-3 - -6)*(-2 - -3). Sort 0, i, -12, g in descending order. g, 0, i, -12 Let m = -239 - -243. Sort m, -1/11, -1 in descending order. m, -1/11, -1 Let b = 4 + -13/3. Let g = 5.68 - -0.32. Let a = 8 - g. Sort b, -0.1, a in decreasing order. a, -0.1, b Let l = 25/2 + -13. Let p = -20.9 + 21. Let t = p + -0.2. Put t, l, -2/7 in ascending order. l, -2/7, t Let t(x) = -x**3 + 0 + 5*x + 0 + 2 + x**2. Let b be 18/63 - 32/14. Let m be t(b). Put m, -5, 5 in ascending order. -5, m, 5 Let m be ((-624)/60)/((-4)/10*-1). Let r = -34 + 11. Let z = r - m. Sort -1, 1, z. -1, 1, z Suppose -10*b + 5*b = 5. Let d = b - -3. Suppose d + 3 = -5*o. Put -3, -5, o in descending order. o, -3, -5 Let x = -40 - -42.6. Let g = -4.6 + x. Let o = 165 + -2147/13. Sort 4, o, g in decreasing order. 4, o, g Let c be (-3)/(-6 - (-216)/40) - 3. Put -5, c, -56 in descending order. c, -5, -56 Let t be (-518)/(-63) + (-4)/18. Let s(c) = -4*c + 2. Let g be s(t). Let b be g/12*(-2)/(-5). Put b, -3, -2 in ascending order. -3, -2, b Let t = 87.02 + -84. Let r = t + -0.02. Let f = -294 + 293.8. Sort f, 0, r in decreasing order. r, 0, f Let j = 7.36 + -5.36. Sort 2.6, 12, j in increasing order. j, 2.6, 12 Suppose -430 = q - 441. Sort 0, -8, q. -8, 0, q Let r = -1170 + 1175. Put 2, r, 186 in descending order. 186, r, 2 Suppose -86*p + 8 = -82*p. Suppose p - 11 = -9*f. Sort f, 3, -21, -1. -21, -1, f, 3 Let b = -318 - -322. Sort 7, 0.3, b in increasing order. 0.3, b, 7 Let o be (5/35)/((-2)/2). Let b(v) = -v**3 - 13*v**2 - 15*v + 6. Let t be b(-12). Let a be (-3)/6 + t/12. Sort a, 0.4, o in ascending order. o, 0.4, a Let s = -261 + 301. Put 2, s, -3 in ascending order. -3, 2, s Let b = 0.43 - 0.43. Suppose -1 = 4*w + 3. Let p be 0 + w*2/(-16). Sort p, b, -1/3 in increasing order. -1/3, b, p Let x be (-4)/5*130/(-52). Sort x, 3, -42 in decreasing order. 3, x, -42 Let n = 5 - -5. Suppose 205*u - 209*u + 16 = 0. Sort u, n, -4 in increasing order. -4, u, n Suppose 2*n + 5*q = 20, -n - q + 1 = -3*q. Suppose -3*x - 15 = 0, 5*d + 5*x + 63 = 13. Sort n, -3, 3, d in ascending order. d, -3, 3, n Let q(n) = -2*n - 5*n + 3*n - 2*n**2 + 0*n**2. Let a be q(-2). Suppose -10*p + 6*p + 4 = a. Sort p, -4, 3. -4, p, 3 Let n(l) be the first derivative of -l**3/3 - 7*l**2/2 + 11*l + 7. Let j be n(-8). Suppose -5*q = x + 4*x + 30, 9 = -x - 2*q. Sort 5, x, j in descending order. 5, j, x Suppose 0 = -b + 4*b. Suppose b = x - 2*x - 7. Let z = x - -2. Sort -2, -3, z. z, -3, -2 Suppose 1 = -g - 4. Let c = -86 - -87. Put g, 1/7, c in ascending order. g, 1/7, c Let w = 0.219 - 0.019. Suppose 3*n = -2*n - 10. Put w, -3/7, n in ascending order. n, -3/7, w Let y be 3 - (-2 + (-73)/(-15)). Let o be (-63)/(-28)*(-4)/6. Sort y, o, 5. o, y, 5 Let r(v) = -2*v**2 + 13. Let y be r(-3). Let g = -15 - -11. Put -3, g, 0, y
{ "pile_set_name": "DM Mathematics" }
*4 + 1/10*f**5 + 0 - 3*f. Suppose h(t) = 0. What is t? 0, 1 Let z(f) = f**3 + 3*f**2 - 6*f - 6. Let s be z(-4). Suppose 9 = s*k + 1. Suppose p**5 + 0*p**5 + 4*p**4 - 5*p**k = 0. What is p? 0, 1 Suppose h + h = -48. Let i be ((-99)/h)/((-9)/(-12)). Let 8*t**4 + t**2 - 7/2*t**5 + 0 + 0*t - i*t**3 = 0. Calculate t. 0, 2/7, 1 Let l be (-9)/60 + 2/5. Suppose -17*m - 6 = -19*m. Let 1/4*c**2 + 1/4*c - 1/4*c**m + 0 - l*c**4 = 0. What is c? -1, 0, 1 Let q(z) be the second derivative of -1/150*z**5 - 1/2*z**2 + 1/60*z**4 + 2/15*z**3 + 2*z + 0. Let m(y) be the first derivative of q(y). Solve m(b) = 0. -1, 2 Let b(g) = g**3 + g**2 - g. Let k(c) = -4*c**2 + 8*c. Let j(q) = -4*b(q) + k(q). Suppose j(x) = 0. What is x? -3, 0, 1 Let h(d) be the first derivative of 12*d**5/5 - 2*d**4 - 16*d**3/3 + 4*d**2 + 4*d - 13. Factor h(f). 4*(f - 1)**2*(f + 1)*(3*f + 1) Let s(r) = -r**4 + r**2 + r. Let d(b) = -2*b**4 + 2*b**2 + 4*b. Let k(j) = -d(j) + 4*s(j). Find v such that k(v) = 0. -1, 0, 1 Let b = -20 - -11. Let a(i) = -i**2 - 2*i + 3. Let n(o) = -5*o**2 - 8*o + 13. Let c = 3 - 1. Let k(r) = b*a(r) + c*n(r). Find g such that k(g) = 0. 1 Let m be (-5)/(15/(-6)) - 0. Find s, given that -2*s + 2*s**2 + m*s**2 + s**2 - 6*s**2 - 1 = 0. -1 Let t(f) be the second derivative of -f**4/60 - f**3/15 + 4*f. Let t(z) = 0. Calculate z. -2, 0 Factor -24/7*k + 72/7 + 2/7*k**2. 2*(k - 6)**2/7 Let b(m) be the third derivative of m**5/60 + 7*m**4/12 + 49*m**3/6 - 25*m**2. Factor b(v). (v + 7)**2 Let d = 1307/2 - 640. Factor 27/2 + 9/2*u**2 + d*u + 1/2*u**3. (u + 3)**3/2 Let t(x) = x**2 - 9*x + 10. Let b be t(8). Factor -3*r**2 + 7*r**2 + 3*r - b*r - 2*r. r*(4*r - 1) Let q be 2/(-9) - ((-376)/(-198))/(-2). Find b, given that -q*b**5 - 2/11*b**2 + 0 + 0*b - 18/11*b**4 - 12/11*b**3 = 0. -1, -1/4, 0 Let -2/3*f + 2/3*f**3 - 10/3*f**2 + 10/3 = 0. What is f? -1, 1, 5 Let n(p) be the first derivative of -p**5/40 + p**4/32 + p**3/24 - p**2/16 + 6. Determine v so that n(v) = 0. -1, 0, 1 Solve 32/3 + 2/3*b**2 - 16/3*b = 0 for b. 4 Suppose 3*q = -4*k + k - 9, -2*q = 3*k + 11. Suppose q*d + 232 - 232 + 2*d**2 = 0. Calculate d. -1, 0 Let w(q) be the first derivative of -q**4 + 32*q**3/3 - 42*q**2 + 72*q + 17. Determine d, given that w(d) = 0. 2, 3 Let l = -97 - -99. Factor 0 - 2/5*f**l + 0*f + 1/5*f**3 - 3/5*f**5 + 4/5*f**4. -f**2*(f - 1)**2*(3*f + 2)/5 Let j be 6/6 - (0 - 3). Solve 0*h**3 - 6*h**3 + 3*h**3 - 2*h**2 - j*h**2 - 3*h = 0. -1, 0 Suppose -3*q + q - 12 = 0. Let t = q + 6. Factor 0*i**2 + 1/4*i**3 - 1/4*i**4 + t + 0*i. -i**3*(i - 1)/4 Let r be 1/2 - 4/((-32)/12). Determine f, given that -2/3 - 4/3*f - 2/3*f**r = 0. -1 Let s(u) be the third derivative of 4*u**5/45 - 23*u**4/18 - 4*u**3/3 - 42*u**2. Determine g so that s(g) = 0. -1/4, 6 Let a(d) = -d**3 - 4*d**2 + 10 + 7*d - 2*d**2 + d. Let g be a(-7). Solve 7 - 8*w**5 + 6*w**g - 7 - 2*w**2 = 0. -1, 0, 1/2 Let h(k) be the first derivative of -k**5/42 + k**4/42 - 3*k**2/2 - 2. Let l(u) be the second derivative of h(u). Let l(v) = 0. What is v? 0, 2/5 Let w(j) be the first derivative of -2*j**5/5 - 3*j**4/4 + j**2/2 + 10. Solve w(s) = 0 for s. -1, 0, 1/2 Let y(s) = -9*s**2 - 21*s - 12. Let f(c) = -c**2 - c. Let a(o) = -6*f(o) + y(o). Factor a(u). -3*(u + 1)*(u + 4) Let s = 95 - 471/5. Determine x, given that 2/5*x + 2/5*x**3 + s*x**2 + 0 = 0. -1, 0 Let g = 67/5 + -263/20. Suppose -g*a**3 + 1/4*a + 0 + 0*a**2 = 0. Calculate a. -1, 0, 1 Let y(d) be the first derivative of -d**7/10 + d**6/25 - 7*d - 7. Let u(q) be the first derivative of y(q). Determine x so that u(x) = 0. 0, 2/7 Let v = 335 + -1001/3. Let -v*z**3 - 4/3*z**2 + 4/3*z + 4/3 = 0. What is z? -1, 1 Factor -1/10*n**3 - 3/10 + 3/10*n**2 + 1/10*n. -(n - 3)*(n - 1)*(n + 1)/10 Let n(w) be the third derivative of w**8/448 + w**7/420 - w**6/48 - w**5/20 + w**4/4 + 2*w**2. Let m(x) be the second derivative of n
{ "pile_set_name": "DM Mathematics" }
53/2343. 21087 Calculate the smallest common multiple of 3150 and 356850. 2497950 Calculate the lowest common multiple of 20300 and 679. 1969100 Calculate the lowest common multiple of 4011 and 1719. 12033 Calculate the common denominator of -59/2050 and 121/1260. 258300 What is the common denominator of 61/52 and -6/106535? 426140 Calculate the common denominator of 15/16 and -89/137008. 137008 What is the smallest common multiple of 1182 and 378634? 1135902 What is the least common multiple of 2219 and 2583? 818811 What is the smallest common multiple of 4609 and 576544? 6341984 Calculate the least common multiple of 467306 and 12661. 5140366 Calculate the least common multiple of 884 and 6409. 25636 What is the common denominator of -28/12335 and -89/30? 74010 Calculate the least common multiple of 618705 and 36. 2474820 What is the least common multiple of 432 and 8586? 68688 Find the common denominator of -79/264525 and 13/525. 1851675 Calculate the least common multiple of 5070 and 19435. 116610 What is the least common multiple of 27 and 816774? 7350966 Calculate the common denominator of 61/19140 and 43/1566. 172260 Calculate the lowest common multiple of 220 and 19382. 193820 Calculate the least common multiple of 360 and 240. 720 What is the least common multiple of 860156 and 11? 860156 Calculate the common denominator of -77/1132 and -131/3660. 1035780 Calculate the lowest common multiple of 46593 and 1503. 46593 Find the common denominator of 47/86691 and 56/15. 433455 Calculate the least common multiple of 5332 and 5117. 634508 Find the common denominator of 31/3626 and -33/962. 47138 Calculate the common denominator of -55/2879232 and -31/8832. 2879232 Calculate the common denominator of -7/443 and -69/2. 886 Calculate the smallest common multiple of 4408 and 171. 39672 What is the lowest common multiple of 57 and 321? 6099 What is the common denominator of -74/11259 and 41/2085? 56295 Calculate the smallest common multiple of 78 and 2509. 15054 What is the common denominator of 1/75537 and -4/189? 226611 Calculate the common denominator of 37/18 and 75/943412. 8490708 Calculate the common denominator of -131/3372 and 4/9. 10116 What is the common denominator of -88/135471 and 97/30? 1354710 Find the common denominator of 97/11188 and 77/554. 3099076 What is the smallest common multiple of 71892 and 17973? 71892 What is the smallest common multiple of 196 and 9604? 9604 What is the least common multiple of 3219 and 45171? 48468483 Calculate the least common multiple of 307320 and 6. 307320 What is the common denominator of 63/472 and -53/236? 472 What is the common denominator of -47/1308723 and 87/37934? 2617446 What is the lowest common multiple of 392 and 49686? 198744 What is the least common multiple of 172200 and 328? 172200 What is the lowest common multiple of 7200 and 8? 7200 Calculate the common denominator of 59/18535 and -7/1685. 18535 Calculate the lowest common multiple of 85 and 1270. 21590 What is the least common multiple of 810 and 52650? 52650 Calculate the least common multiple of 12 and 84560. 253680 Find the common denominator of 19/84 and -75/64. 1344 Calculate the smallest common multiple of 420 and 1226. 257460 What is the smallest common multiple of 40 and 2285? 18280 What is the smallest common multiple of 27 and 37554? 337986 What is the common denominator of 7/324 and -35/208? 16848 What is the least common multiple of 36400 and 8580? 1201200 What is the smallest common multiple of 56 and 1648997? 13191976 What is the least common multiple of 54010 and 32406? 162030 Find the common denominator of 25/207256 and 23/64. 1658048 Calculate the least common multiple of 1500 and 1600. 24000 Calculate the common denominator of -95/17132 and 77/86. 736676 Calculate the least common multiple of 16280 and 7040. 260480 What is the common denominator of -41/23000 and 87/4? 23000 Find the common denominator of -17/798 and 59/353096. 7415016 What is the common denominator of -87/33740 and 5/74228? 371140 Calculate the least common multiple of 210696 and 40. 1053480 Calculate the common denominator of -101/27092 and -53/162552. 162552 Find the common denominator of -5/539168 and -109/3248. 539168 What is the least common multiple of 30552 and 402? 30552 What is the lowest common multiple of 1357224 and 3104? 5428896 Calculate the smallest common multiple of 144 and 582030. 4656240 Calculate the common denominator of 79/48092 and 89/168322. 336644 Calculate the least common multiple of 805 and 5635. 5635 Calculate the common denominator of 37/134732 and -87/5182. 134732 What is the smallest common multiple of 426 and 57? 8094 Find the common denominator of 109/600 and 89/1140. 11400 What is the lowest common multiple of 14920 and 3730? 14920 Find the common denominator of -16/9135 and -61/1080. 219240 What is the common denominator of 18/427 and -89/24156? 169092 Find the common denominator of 41/108 and 49/58311. 699732 What is the smallest common multiple of 24165 and 21? 169155 What is the common denominator of 71/180 and -61/114714? 1147140 Find the common denominator of -32/369 and -39/68921. 620289 Calculate the common denominator of 8/44931 and -17/1320. 19769640 Calculate the smallest common multiple of 13299 and 4433. 13299 Calculate the smallest common multiple of 346248 and 61830. 1731240 Calculate the lowest common multiple of 10553 and 45872. 7935856 What is the least common multiple of 1113220 and 70? 7792540 What is the least common multiple of 80776 and 4? 80776 What is the least common multiple of 11715 and 11715? 11715 Calculate the common denominator of 137/18480 and -229/23100. 92400 Find the common denominator of -31/4880 and -11/1485960. 2971920 Calculate the common denominator of 65/322 and 93/120190. 2764370 Calculate the lowest common multiple of 1446 and 723. 1446 Find the common denominator of 16/2073 and 34/9. 6219 Calculate the lowest common multiple of 6110 and 30. 18330 Calculate the smallest common multiple of 3430 and 55. 37730 Find the common denominator of -23/7042 and 33/28168. 28168 What is the common denominator of -83/41608 and 11/29720? 208040 What is the common denominator of 67/24 and 19/67090? 805080 What is the common denominator of 53/1623428 and -137/18? 14610852 What is the lowest common multiple of 875 and 375? 2625 Calculate the common denominator of 85/3174 and -31/40434. 929982 Calculate the common denominator of 97/288792 and -137/18. 288792 Calculate the common denominator of 37/516 and -163/84. 3612 Calculate the common denominator of 97/6670 and -107/6. 20010 What is the least common multiple of 32030 and 166556? 832780 Calculate the least common multiple of 37622 and 1447. 37622 Find the common denominator of 7/112346 and -155/612. 34377876 Calculate the smallest common multiple of 61760 and 280. 432320 Calculate the common denominator of -31/6600 and -76/99. 19800 Find the common denominator of 117/2386840
{ "pile_set_name": "DM Mathematics" }
4. Let u be (-84)/56*172/(-3). Let j = u + -83. What is the hundreds digit of g(j)? 2 Let q(f) = -4*f**3 - 2*f**2 + f + 1. Let k be q(1). Let h = k - -17. Suppose 2*o = -2*z + 125 + h, 20 = 5*o. What is the units digit of z? 5 Let y be (-224)/(-126) - 2/(-9). Suppose 0 = 4*z + z + 2*h - 360, y*h - 10 = 0. Suppose -3*q + 3*w = -117, 4*q - 5*w - 81 = z. What is the tens digit of q? 4 Let b = -128 + 125. Let h(f) = -225*f - 26. Let g be h(b). Suppose 9*y = g + 647. What is the hundreds digit of y? 1 Suppose 0 = 11*d - 6421 + 591. Suppose 0 = l - 6*l - 1830. Let t = d + l. What is the units digit of t? 4 Let n = 5 - 2. Suppose -41 - 22 = -n*j. What is the units digit of (-16)/56 + 1980/j? 4 Let h be (-4)/18 + 74/9. Suppose h*o - 2578 = 814. What is the tens digit of o? 2 Suppose 4*w + 72 = 272. Suppose 0 = -5*d + 4*d + 8. What is the tens digit of w/(-3)*(-36)/d? 7 Suppose -3*g + 3*z = 8*z - 34037, -3*g + 34055 = -4*z. What is the thousands digit of g? 1 Suppose 3*i + 140 = -3*l - 2*l, -3*i = -5*l - 110. What is the units digit of 5*(-3 - 440/l)? 3 Let q = 6773 - 5231. What is the units digit of q? 2 Suppose 5*m - 30*m + 171870 = 5*m. What is the tens digit of m? 2 Let o = 2364 - 1424. Suppose -d - 165 = 3*i - 866, -4*i = 4*d - o. What is the hundreds digit of i? 2 Suppose 0 = -3*f + u + 37156, -61*f + 58*f + 37170 = -3*u. What is the hundreds digit of f? 3 Suppose -d = -7 - 10. Suppose -390 = 16*u - d*u. What is the hundreds digit of u? 3 Suppose 3*r - 37 = -4*y, -2*y = 4*r - 0*y - 46. Suppose 4 = -o, 0 + r = s - 3*o. What is the tens digit of s/2 + (-5 - 73/(-2))? 3 Let d(t) = -4*t**2 + 6. Let l be d(-3). Let b = l + 32. Suppose 0 = 11*v - b*v - 297. What is the units digit of v? 3 Suppose -w = -2*w + 2. Suppose -5*u = -4*h - 21, w*h = -h + 3. Suppose u*z - 2*d = 384 - 99, 5*z + 3*d = 285. What is the units digit of z? 7 Let h be ((-1970)/(-45))/((-4)/(-36)). Let p = h - -100. What is the hundreds digit of p? 4 Suppose -123*j + 3042494 = 106*j. What is the thousands digit of j? 3 Let i(d) = -3*d**2 - 59*d - 6. Let g be i(-6). Suppose -h - 3*h + 5*j + 159 = 0, -5*h - 2*j = -g. What is the units digit of h? 6 Let h(t) = 36*t - 449. What is the hundreds digit of h(32)? 7 Suppose 0 = 5*k - 3*y - 138, 2*k = y - 6*y + 80. Suppose 0 = -4*z + 2*p + 408 - 52, 3*z = -p + 262. Suppose -z = -o - k. What is the units digit of o? 8 Suppose -3*l - 26 - 28 = 0. Let n be 24/l*(-18)/(-4). What is the tens digit of (-4 - -6)*3/n*-29? 2 Suppose 3*u = -y + 1726, 0 = -5*u - 25 + 20. What is the thousands digit of y? 1 Let g be (2/4)/((-12)/(-3384)). Let q = g + -72. What is the tens digit of q? 6 Let s(y) = 76*y + 148. Let q be s(18). Let o = -891 + q. What is the tens digit of o? 2 Let r(v) = v**3 - 17*v**2 - 16*v + 23. Let i be 6/45 + (-2984)/(-120). Let k = i - 7. What is the units digit of r(k)? 9 Let i be (3/(-4))/(27/(-144)). Suppose c - 180 = -r, 0 = 4*c + i*r - 7*r - 734. What is the tens digit of c? 8 Let f(j) = -10662302 + 4*j**2 + 10662313 - 15*j + 0*j**2. Suppose -3*z + h + 18 = 3*h, 3*z = 2*h + 18. What is the tens digit of f(z)? 6 What is the units digit of (-2)/8 + 25/40*2*15349? 6 Let f = -23 - -26. Suppose -13 - 24 = 5*a + r, 0 = f*a + 4*r + 29. What is the units digit of (-240)/a + 16/(-56)? 4 Let c(l) = -2*l**3 + 13*l**2 + 6*l - 33. Suppose 4*r + 8 = 3*r. What is the tens digit of c(r)? 7 Let c(q) = 11*q**3 - 36*q**2 + 298*q + 24. What is the hundreds digit of c(10)? 4 Let u = -4215 + 37301. What is the hundreds digit of u? 0 Let n(t) = 5*t - 13 - 10 - 4*t**2 + 4*t**2 + 10 + t**2. Suppose 5*m - 4*k = 50, 5*m + 4*k + k - 50 = 0. What is the tens digit of n(m)? 3 Let o(z) = 3*z**3 + 2*z**2 - z. Let n be o(1). Suppose -4*t + 2*a + 3*a + 61 = 0, 2*a - 54 = -n*t. What is the tens digit of (t/(-21))/(2/(-219))? 7 Let k be 4/22 - 5/(55/1542). Let o = k - -340. What is the hundreds digit of o? 2 Suppose 0 = -175*d + 177*d - 30. What is the units digit of (1644/(-20))/((-1)/(d/1))? 3 Let l = 10220 + -5446. What is the hundreds digit of l? 7 Let j = -237 - -240. Let s be (-6)/(-4)*(-72)/54. What is the tens digit of (j/(-1) + 4)*(163 + s)? 6 Suppose 18201 = 3*x + 5*o - 19677, 50494 = 4*x + 5*o. What is the hundreds digit of x? 6 Let w(r) = -3*r**3 + r**2. Let v be w(-1). Suppose -175 = 4*k - 2*d + 193, -4*d + 372 = -v*k. What is the units digit of (-3080)/k + (-4)/(-26)? 4 Suppose 7*p = t + 11*p - 38565, 0 = 2*t - 5*p - 77208. What is the ten thousands digit of t? 3 Suppose 104 = 4*g - 2*t, -4*g - 5*t + 76 = -2*g. What is the units digit of (-42)/g*194*-1? 1 Let y(p) = p**2 + p - 11. Let t be y(-5). Let u be ((-81)/(-18))/(t/(-12)). What is the units digit of -6 - -18 - u/(-2)? 9 Let t(
{ "pile_set_name": "DM Mathematics" }
+ 2, 0 = 2*b - 2. Solve c = -2*l - z + 10, -5*z + 23 = 5*l - 4*l for l. 3 Let o be 0 + 7 + 60/(-15). Let j be 1/((-3)/9) - (o - 2). Let i be j/(40/(-115))*2. Solve q + 5*r = 11, -2*q - i = 3*q - r for q. -4 Let s = -315 - -167. Let k = s - -164. Solve 0 = -5*o + 3*h - k, 12 = -3*o + 5*h - 4 for o. -2 Let q be ((-12)/(-7))/((200/(-84))/(-25)). Solve -q = 2*v - 5*s, -6 + 16 = -4*v - 3*s for v. -4 Suppose -32*v + 27*v - 5 = 5*g, 2*g = -3*v - 6. Solve -g*l + 15 = 0, h - 4 = 25*l - 26*l for h. -1 Suppose -1404 = -25*t + 96. Suppose 5*w + 5*x - 265 = 0, -265 = -5*w - 0*x + x. Let v = t - w. Solve 12 = -4*m, -3*i = -5*i - m + v for i. 5 Let j = -151 - -267. Let x = -116 + j. Solve x = -4*z - z + 5*y, -5*z - 2*y = -35 for z. 5 Let u(i) = -2*i**3 + 166*i**2 + 162*i + 509. Let g be u(84). Solve -3*b + g*w = -21, 5*b - 225 = -3*w - 224 for b. 2 Let m = 253 - 250. Solve -5*o - 5 - 5 = 5*k, 4*o = -m*k - 6 for o. 0 Let t be 38/(-6)*(-2 + 5). Let u = -11 - t. Suppose 0*d - 3*d = -a - 7, -u = -4*a. Solve -4*s = -z - d - 3, 4*s - 16 = -4*z for s. 2 Let t = 6161 - 6149. Let d(i) = -2*i + 2. Let k be d(2). Let u = 6 + k. Solve 0 = -4*s - 2*y + 10, 32 = -u*y + t for s. 5 Let k be (-80)/(-30)*(-30)/(-16). Solve -5*l = -21*h + 17*h - 1, -6 = -l - k*h for l. 1 Suppose -2*l - 64 = 2*z, -z - 3*l = -8*l + 2. Let v(u) = -u + 3. Let d be v(5). Let b be 0/(z/12 - d/8). Solve -4*t - 2*m - 10 = -0*m, b = -t + 5*m - 19 for t. -4 Suppose -5*h + 3455 - 3285 = 5*h. Solve 22*r - h*r + 15 = u, 4*r = -u - 12 for r. -3 Let w(u) = 5*u**2 + 18*u - 29. Let h(t) = -3*t**2 - 9*t + 14. Let b(k) = -7*h(k) - 4*w(k). Let f be b(2). Solve -d - 5 = 4*d - 5*a, -2*a = -f*d - 4 for d. -1 Suppose -13*h + 15*h - 4 = 0. Suppose 56 = 10*s - h*s. Suppose 0 = -q + 5*q - s*q. Solve 3*r + 2 = -q*z + 2*z, 4*r = 2*z - 6 for z. -5 Let n = 124 - 18. Let k = n - 101. Solve 2*b = 0, 6*b - b = -k*c - 25 for c. -5 Let m = 13153 - 13153. Solve -4*w - 29*k + 27*k - 32 = m, -3*w - 22 = k for w. -6 Suppose -b + 34 - 7 = -4*s, -3*b - 4*s + 17 = 0. Let j(t) = 16 - 99 + 42 + b*t. Let f be j(6). Solve 3*d + 5*x = -f, -d = d + 4*x + 18 for d. -5 Let s(f) = 35*f - 25. Let l be s(2). Let t = 55 - l. Solve -6*a - 13 = i - 2*a, -t = -2*i + a for i. 3 Let k = -1764 - -1792. Solve 5*n + k = -4*c, 4*n - n + 20 = -4*c for n. -4 Suppose 11859*s = 11845*s + 154. Solve -n + 28 = -3*k + s, -4*k = -5*n + 30 for n. 2 Let c be 3 - (1/1 - 3). Suppose -4*y + c*s = -11, -2*y + y - 5*s + 9 = 0. Suppose -572*d = -588*d + 144. Solve -d - 1 = l - y*t, 3*l - t = -8 for l. -2 Suppose 0 = -12*l - 8 + 20. Let k be l/5 + (-252)/(-15). Solve 4*r + 4*n + 11 = -17, 3*n + k = -r for r. -2 Suppose 4*y + 4 = -2*x, 2*x - 7 = -11. Solve 2*r - w + 3 = y, -2*r = 3*r - 5*w for r. -3 Suppose c + 8 = -4*x, -3*x + x = -2*c - 6. Let t be -2*c/8*0. Solve -n + 4*d = d - 7, 5*d + 10 = t for n. 1 Let v(x) = -x**2 - 25*x + 3. Suppose 52 = 2*y - 3*f - 19, 67 = 2*y + f. Suppose z = -y + 9. Let q be v(z). Solve -q*a - 2*a = -5, -11 = 4*p + a for p. -3 Suppose 0 = -116*y + 378 + 762 + 948. Solve j - 2 = -5*h + 25, 2*h = -4*j + y for h. 5 Let c be ((-4)/3 - -1)/(9/(-81)). Suppose -w = 3*j - 23, -7*w + 17 = -c*w - 3*j. Let x = -6 + w. Solve -4*m + i = -18, -m + 13 = 2*i + x*i for m. 5 Let n(p) = -p**3 - p**2 + 2*p - 40. Let l be n(-4). Solve 2*q + o = -4 - l, 0 = o + 4 for q. 0 Suppose 5*o + 16 = f - 43, 5*o = -4*f + 186. Solve 5*d = 5*j + 10, 32 - f = j - 4*d for j. 3 Suppose 42 = 5*j + 4*n, -3*j - 4*n + 27 = -n. Let a(g) = g**2 + 0*g**2 - 6 + 5 - g - g. Let f be a(-1). Solve 0 = f*i + j + 2, -5*x + i + 24 = 0 for x. 4 Suppose 3*i = i. Suppose 3*v - 4*v = i. Let k(g) = 2*g**2 + 9*g - 1. Let u be k(-5). Solve 4*t - j + 22 = 0, v = u*t + t - 3*j + 31 for t. -5 Suppose -8*b + 1056 - 1056 = 0. Let v be (5 + b)/(5 + -4). Solve -j + 5*z = -v*j, 3*j + 5 = -5*z for j. 5 Suppose 0*y = 2*t - 5*y + 159, -3*t - 301 = 5*y. Let w
{ "pile_set_name": "DM Mathematics" }
207? -0.089 Is 108567 not equal to 108567? False Which is smaller: 2520/17 or 148? 148 Which is greater: 21526/3 or 7175? 21526/3 Which is smaller: 30 or 3153/103? 30 Which is smaller: -39 or -79? -79 Which is smaller: -1362 or -25887/19? -25887/19 Is -52/1733 greater than or equal to 1? False Is -7125 smaller than -7122? True Which is bigger: 9 or 5.556? 9 Are -8957 and -89577/10 unequal? True Is 95335 smaller than 95325? False Which is greater: 229 or -160? 229 Which is smaller: 3339 or -92? -92 Which is greater: 5129 or 5133? 5133 Is 158377/34 != 4658? True Is 2022/19 smaller than 42? False Is -81440 smaller than -81439? True Which is greater: 62860 or 16? 62860 Which is smaller: 56/139109 or 1? 56/139109 Is -11754 at most as big as -11754? True Is 21793/9 equal to 2422? False Which is bigger: 0 or -51/9734? 0 Which is greater: -1 or 1/318302? 1/318302 Is 1070/153 not equal to 0? True Which is greater: 0 or 1/5300? 1/5300 Which is bigger: -39341 or -39346? -39341 Is 31240 smaller than 31239? False Which is greater: 0 or -2/98555? 0 Which is smaller: -167797 or -167796? -167797 Is 1 less than -34/413? False Which is smaller: -10 or 17? -10 Is -818866 smaller than -818866? False Which is smaller: -23/3802 or 0? -23/3802 Which is greater: 21 or 5667/265? 5667/265 Is 923 less than or equal to 923? True Which is smaller: -2 or 1775.02? -2 Is 7 greater than 2459? False Which is smaller: 0 or 1/633753? 0 Which is bigger: -10611 or -10606? -10606 Which is greater: 0 or -3/39764? 0 Which is smaller: -6655 or -6651? -6655 Is -27252 != -27246? True Are 318156 and 318157 unequal? True Is -11/9365 bigger than 1? False Do -1 and 1.86703 have the same value? False Which is smaller: 11340 or -26? -26 Which is smaller: 1 or -1011.3? -1011.3 Is 0.9 smaller than -59073? False Are -87414/7 and -12489 non-equal? True Which is smaller: -384288 or -384289? -384289 Is 4 less than 37/522? False Which is smaller: -2/11 or -95.63? -95.63 Is -15475 < -15476? False Is -15/35507 > 0? False Is -1.932 less than or equal to -16? False Which is bigger: 171 or 50315/294? 50315/294 Are 121457 and 121457 non-equal? False Is 7 at least 246/43? True Is 7717 at least 7717? True Is -19 > -1/5846? False Are 4 and -253255 nonequal? True Is -1 smaller than 9/164? True Is 243475 greater than or equal to 243475? True Which is greater: -2035 or 34? 34 Which is smaller: -143.1 or 0.1? -143.1 Is 1/2 <= -2.37503? False Which is smaller: -3/97 or 9073? -3/97 Is 27 at least as big as 830? False Which is greater: 265 or 6897/26? 6897/26 Which is smaller: 671 or 20776/31? 20776/31 Which is bigger: -1868 or 173? 173 Is 223.48 > -1? True Is -2/1021 less than or equal to 8.99? True Is 930489 smaller than 930490? True Are -26054 and -26053 equal? False Is 7/20028 < -1? False Do 1494468 and 1494469 have different values? True Is 193/4750 less than or equal to -1? False Which is bigger: 0 or -133/89? 0 Which is greater: -1325/543 or -1? -1 Which is greater: -35 or 53474? 53474 Are 65142 and 65140 equal? False Is 26501 not equal to 26499? True Is 1 less than -0.003021? False Is 1273115 at least 0? True Which is bigger: -467266 or -467267? -467266 Which is smaller: -17677/4 or 3? -17677/4 Which is greater: -2 or 104123? 104123 Is 101520 bigger than -2? True Which is greater: -1363704 or -1363703? -1363703 Is 5751/28 greater than 0.01? True Is -324 less than -391? False Which is greater: -2/11 or -291404? -2/11 Which is smaller: -0.74 or -1292? -1292 Which is bigger: 0 or 5/27386? 5/27386 Which is smaller: -14/44939 or 0? -14/44939 Is 13/88495 >= 1? False Which is greater: 0.2 or -3106.5? 0.2 Which is smaller: 1865637 or 1865636? 1865636 Are -2/5659637 and -1 unequal? True Is 4 > 2112/457? False Is 426 at most as big as 328? False Which is smaller: -1 or 7481/8? -1 Which is bigger: -46 or -91? -46 Is 1 < -11/341718? False Is -6646 at most -6683? False Is 1 <= 281.16? True Is -3165 >= -0.26? False Which is greater: 416008 or 0.1? 416008 Which is smaller: 56619 or 56620? 56619 Is 50 bigger than 69? False Which is smaller: -2/91135 or 1? -2/91135 Is -1.24 at most -60/49? True Which is bigger: -0.08 or -494418? -0.08 Are 117593 and 117586 nonequal? True Which is smaller: 109.04 or -3? -3 Is 3 bigger than 0.21266? True Which is greater: 345 or -2? 345 Which is smaller: 2315415 or -1? -1 Is -17765 smaller than -17767? False Which is bigger: -1274 or -29284/23? -29284/23 Which is smaller: 55 or -0.739? -0.739 Which is smaller: 42/29423 or -1? -1 Which is greater: -721 or -341? -341 Which is smaller: -1385 or -1399? -1399 Is -2177 less than or equal to 0.6? True Are -0.2084 and -850 unequal? True Is 11 smaller than 446/41? False Which is greater: -109828 or -1208112/11? -109828 Is -0.3 at most as big as -54/1337? True Which is smaller: -6270 or -2? -6270 Which is smaller: -18 or -4/77? -18 Is 8 less than or equal to -11784? False Is -366793 less than 16? True Is 8202 >= 24/17? True Which is smaller: -18383/194 or -94? -18383/194 Is 114166 < 114167? True Is -2796 != -2879? True Which is greater: 1162 or 1
{ "pile_set_name": "DM Mathematics" }
e 3*g(w) + n(w). -37*w**2 + 3*w - 7 Let c(u) = 21*u**3 + 3*u + 4. Suppose 8*f + 11876 = 11948. Let s(l) = 43*l**3 + 7*l + 9. Calculate f*c(d) - 4*s(d). 17*d**3 - d Let g(q) = -19*q**3 + 3*q**2 - 10*q - 1. Let t(p) = 2*p**3 - p**2 + 7*p + 2. Determine g(i) + t(i). -17*i**3 + 2*i**2 - 3*i + 1 Let b(p) = -6*p**3 - 4*p**2 + 135*p - 7. Let x(h) = -11*h**3 - 7*h**2 + 268*h - 14. Determine 7*b(m) - 4*x(m). 2*m**3 - 127*m + 7 Let r(j) = -2*j**3 + 11*j**2 + 4*j + 4. Let q(y) = 2*y**3 - 12*y**2 - 5*y - 5. Let k be 5 - (1 + -21)*(-11)/22. What is k*r(n) - 4*q(n)? 2*n**3 - 7*n**2 Let p(g) = 6*g**3 + g**2 + 18*g + 10. Let w(t) = 3*t**3 + 11*t + 4. What is 3*p(x) - 5*w(x)? 3*x**3 + 3*x**2 - x + 10 Let v(b) = 6*b**3 - 5*b**2 + 61*b - 11. Let o(m) be the third derivative of -m**6/120 + m**5/60 - m**4/2 + m**3/3 + 386*m**2. Calculate -11*o(z) - 2*v(z). -z**3 - z**2 + 10*z Let b(a) be the third derivative of -a**5/15 + a**4/4 + 19*a**3/6 + a**2. Let q(d) = 3*d**2 - 4*d - 13. Let g = 535022 - 535015. Determine g*q(l) + 5*b(l). l**2 + 2*l + 4 Let o(l) = -24*l**2 - 6*l + 38. Let g(s) = 10*s**2 + 3*s - 17. Calculate 5*g(d) + 2*o(d). 2*d**2 + 3*d - 9 Let n(a) = -166*a + 1. Let q(z) = 1474*z - 8. Determine -52*n(w) - 6*q(w). -212*w - 4 Suppose 3*r + 14 - 5 = 0. Let s(l) = 2*l + 5. Let p(u) = -3*u - 9. Suppose -4*x + 4*i = 494 + 190, 0 = -4*i. Let c = x + 166. What is c*s(g) + r*p(g)? -g + 2 Let g(p) = 34*p + 25. Let o(n) = 42*n + 26. Give 5*g(a) - 4*o(a). 2*a + 21 Let g(p) be the first derivative of -11*p**2 - 12 + 15*p**2 - p + 5*p. Let h = 29 - 32. Let d(u) = -7*u - 3. Determine h*g(r) - 4*d(r). 4*r Let w(i) = -i**2. Let r(b) be the second derivative of -b**4/2 - 955*b. Determine -6*r(p) + 33*w(p). 3*p**2 Let c(u) = 1. Let m(x) = -2*x - 1. Let a(s) = 4*s. Let o(w) = 3*a(w) + 5*m(w). Let j = -60 + 144. Let n be (-12)/(-66) + j/22. Calculate n*c(y) + o(y). 2*y - 1 Suppose u = 5*j - 0*u - 20, -2*j = -4*u - 8. Let q(p) = -3*p**3 - 73 + 3*p**2 - j*p + 5*p**3 + 72. Let l(h) = -h**3 - h**2 + h - 1. Calculate 3*l(n) + q(n). -n**3 - n - 4 Let f(x) = -770*x + 770*x - 2*x**2. Let i(g) = -g + 21. Let c be i(9). Let p(v) = v**2. Give c*p(q) + 3*f(q). 6*q**2 Let m(f) = 8*f**3 + 3. Let x(d) = -655*d**3 + 223*d**3 + 219*d**3 + 0 + 220*d**3 + 2. Let u be ((-20)/(-50))/(1/(-5)). Calculate u*m(w) + 3*x(w). 5*w**3 Let b(g) = -40*g - 2. Let j(n) be the first derivative of -41*n**2/2 - 3*n + 2270. Give 3*b(r) - 2*j(r). -38*r Let j(d) = 4*d**3 + d + 1. Let x(c) = 1. Let k(v) = -4. Let o(f) = -k(f) - 3*x(f). Suppose 2*i + 5*w = -4, -1371*i = -1368*i + 4*w - 1. What is i*o(s) - j(s)? -4*s**3 - s + 2 Let u = -15736 + 15729. Let k(l) = 2*l**2 - 5*l - 15. Let n(r) = -3*r**2 + 7*r + 22. Calculate u*k(j) - 5*n(j). j**2 - 5 Let a(s) be the first derivative of -3*s**4/2 + 11*s**3/3 - 3*s**2 + 15*s + 2866. Let r(p) = p**3 - 2*p**2 + p - 3. Give -2*a(j) - 11*r(j). j**3 + j + 3 Let j(a) = 31*a + 128. Let i be j(-4). Let v(g) = 5*g**3 - 3*g**2 + 6*g. Let z(t) = 9*t**3 - 7*t**2 + 13*t. What is i*z(d) - 9*v(d)? -9*d**3 - d**2 - 2*d Let m(c) = 2*c**2 - 27*c - 234. Let o(i) = -3*i**2 + 21*i + 234. Give 4*m(k) + 5*o(k). -7*k**2 - 3*k + 234 Let s(c) = -19*c**2 + 11*c. Let g(n) = -3*n**2 + 171*n - 7. Let w(r) = 2*r**2 - 122*r + 5. Let a(t) = 5*g(t) + 7*w(t). Give 44*a(z) - 4*s(z). 32*z**2 Let x(r) = 67*r. Let t(z) = 68*z + 75. Calculate t(p) - x(p). p + 75 Let b(p) = -p - 1. Let a be (-23)/(-69)*42 + (-1 - 8). Let k(c) = c**2 - 5*c + 12. Give a*b(s) - k(s). -s**2 - 17 Let m(j) = 29*j**2 + 6*j + 144. Let z(f) = -32*f**2 - 7*f - 145. Calculate 7*m(b) + 6*z(b). 11*b**2 + 138 Suppose -57*b + 148 = -94*b. Let
{ "pile_set_name": "DM Mathematics" }
7*v + 7. Determine a*w(p) - 5*k(p). -p - 1 Let c(f) = -f. Let t(v) = -2*v - v**2 + 0 + 2 + 3*v**2. Let s = -23500 - -23503. What is s*c(g) - t(g)? -2*g**2 - g - 2 Let g(t) be the second derivative of t**3 - 9826*t + 5. Let o(c) = -c. Let p be 11/(-2) - 2/(-4). What is p*g(s) - 40*o(s)? 10*s Let h(m) = -27*m**2 - 47*m - 11. Let t(j) = 11*j**2 + 23*j + 7. Calculate 2*h(v) + 5*t(v). v**2 + 21*v + 13 Let d(w) = 0 - 1 - w + 2*w. Suppose -5*g + 1970 = -4*r + 8*r, -413 = -g + 3*r. Let y = 386 - g. Let a(j) = -10*j + 12. Determine y*d(x) - a(x). -2*x Let m(u) = -4 - 26*u**2 - 121*u + 12*u + 109*u. Let b(j) = -1. Give 4*b(o) - m(o). 26*o**2 Let x(b) = 5*b**3 + 3965*b**2 - 15*b + 3. Let w(u) = 6*u**3 + 3964*u**2 - 20*u + 4. Determine -3*w(l) + 4*x(l). 2*l**3 + 3968*l**2 Let g(n) = -16*n**3 - 4*n**2 - 4*n - 99. Let p(j) = 16*j**3 + 5*j**2 + 5*j + 96. Calculate -5*g(q) - 4*p(q). 16*q**3 + 111 Let l = -16274 - -16269. Let j(x) = 8*x**3 - 7*x**2 + 6*x. Let s(r) = -7*r**3 + 7*r**2 - 5*r. Determine l*j(k) - 6*s(k). 2*k**3 - 7*k**2 Let k(n) = -73*n + 1013. Let q be k(14). Let b(y) = 25*y**2 - 8*y - 9. Let v(a) = -6*a**2 + 2*a + 2. Calculate q*v(t) - 2*b(t). 4*t**2 - 2*t Let d = -13895 - -14240. Let k(i) = 11523*i**2 - 345*i - 345. Let q(m) = 67*m**2 - 2*m - 2. Give d*q(w) - 2*k(w). 69*w**2 Let d be (-43600)/(-3815)*((-7)/2 + 0). Let g(a) = -1. Let t(q) = -40*q - 40. Determine d*g(p) + t(p). -40*p Let k(l) = -233*l**3 - 12. Let i(j) = -697*j**3 - 37. Calculate -3*i(w) + 8*k(w). 227*w**3 + 15 Let x(p) = -p**2 + p + 1. Let c(s) = 5*s - 4*s**2 - s - 2*s**2 + 4. Let h be 27/(-12) + 4 - (-3)/(-4). Suppose 2*w = -h + 3. Calculate w*c(k) - 4*x(k). -2*k**2 Let z(y) = 72*y**2 + 305*y + 237. Let l(w) = 107*w**2 + 427*w + 355. Determine 5*l(u) - 7*z(u). 31*u**2 + 116 Suppose 3*f = -3*n - 3, -4*f = n - 5*n + 20. Let g(w) = -w**2 - 4*w - 1. Let b(p) = 16978 - 2*p + 4*p - 16978 - p. Give n*g(i) + 7*b(i). -2*i**2 - i - 2 Let k(q) be the first derivative of -q**2 + 19*q + 3622. Let x(a) = -1. What is k(o) + 2*x(o)? -2*o + 17 Let x(y) = -2*y + 9 - 13 + 5 + 3*y - y**3. Suppose 3*d = 9 - 21. Let w(r) = r**3 + r + 1. Calculate d*x(u) + 4*w(u). 8*u**3 Let w(i) be the first derivative of i - 45. Let k(h) = -h**2 + 9*h + 1. Let q be k(0). Let t(f) = -5*f**3 + 2*f + 3. Determine q*t(n) - 2*w(n). -5*n**3 + 2*n + 1 Let z(w) be the first derivative of w**2 + 4*w - 4. Let g be (-28)/(1/(-3) + 30/36). Let j = g - -54. Let n(d) = -2. Calculate j*z(p) - 4*n(p). -4*p Let j(l) = 5*l + 40. Let x(h) be the third derivative of -h**4/24 - 1403*h**2 + h - 1. Calculate j(c) + 4*x(c). c + 40 Let g(m) = 1697*m**3 - 19*m**2 - 1. Let r(l) = -2546*l**3 + 27*l**2 + 1. Give -7*g(w) - 5*r(w). 851*w**3 - 2*w**2 + 2 Let p(q) = -27*q**2 - 2*q + 4. Let g(x) = -22*x**2 - 5*x + 4. Calculate -5*g(c) + 4*p(c). 2*c**2 + 17*c - 4 Let p be ((-78)/(-8))/(24/32). Suppose -17*m + p*m = 0. Let r be 2 + 1/1*(3 + m). Let g(b) = -3*b**2 + 7. Let t(z) = 3*z**2 - 6. What is r*t(q) + 4*g(q)? 3*q**2 - 2 Let n(y) = 83*y - 17. Let g(j) = 39*j - 6. Determine -15*g(u) + 6*n(u). -87*u - 12 Let x be (28/(-5))/(-5*14/(-525)). Let a be ((-24)/x)/(2/14). Suppose -11 - a = -15*l. Let w(g) = -1. Let s(f) = -2*f. Calculate l*s(i) - 2*w(i). -2*i + 2 Let y(j) = -35*j - 14. Let d be (150 + -157)*(-8)/(-4). Let i(n) = -10*n - 3. Let c(z) = -z. Let p(a) = 3*c(a) - i(a). Calculate d*p(r) - 3*y(r). 7*r Suppose 5*z - 50 = 5*b, 20*z = 23*z - 4*b - 25. Let h(x) = -3*x - 15. Suppose -6*i + i + 25 = 0. Let m(q) = i + 6 - 10. Determine z*m(a) + h(a). -3*a Let d(r) = 3*r**2 + 19*r + 18. Let z be d(-6). Suppose 0 = -7*x - 47 + z. Let h(j) = -7*j**2 - 5*j. Let o(a) = -3*a**2 - 2*a. Determine x*o(k) + 2*h(k). k**2 Suppose 14 = -9*l + 8*l - 5
{ "pile_set_name": "DM Mathematics" }
(h/h**7*h**(-1/2)*h)/(h**(-2/25)*h**(2/27)*h)*(h**(-2)*h/(h*h*h**2))/(h**(1/4))**48 assuming h is positive. h**(-31717/1350) Simplify ((v/(((v*v/(v/((v/v**(3/5)*v*v)/v))*v)/v*v)/v)*(v**(-15)/v*v*v)/v*v)/((v/(v*v*v**(-1/3)/v))/v)**25)**(-2/85) assuming v is positive. v**(-38/1275) Simplify (a**8/a*a*a/(a*(a*a**(-2/7)*a)/a))/((a*a*a**(1/2))/(a/(a*a*a**(-6/5))))*(a**(-1))**(3/17)*(a**(2/7))**(-2/31) assuming a is positive. a**(176733/36890) Simplify p**(-2)/p**(-1/6)*(p/(p/(p/(p**(2/7)/p))))/p*p**(-2/7)*(((p*p**(3/13)/p)/p)/p*p*p**(4/9))**(-48) assuming p is positive. p**(7745/546) Simplify ((p*p**24)**2*(p**(-4))**(-3/8))**(-2/69) assuming p is positive. p**(-103/69) Simplify i*i**(4/7)*i**(3/8)*(i/(((i*i**(-2/5)/i*i)/i)/i*i*i))/i**(-4)*(i*i**(2/3)*i**6)**(-36) assuming i is positive. i**(-75503/280) Simplify ((t*t**(-7))/(t**(-6)*t)*(t*t**(-8)*t)/(t*t**(-22)))**46 assuming t is positive. t**644 Simplify ((((u/u**23)/u)/u**(3/5))/(u**27/u*((u**(1/2)*u)/u)/u))**(3/32) assuming u is positive. u**(-1473/320) Simplify ((l/l**(2/43))/l**(2/5)*l**(-10)/(l/l**(-17)))**(-3/29) assuming l is positive. l**(17703/6235) Simplify ((((y**(-22)*y)**(16/9))**(13/8))**(-50))**21 assuming y is positive. y**63700 Simplify (g*g**(1/6)*(g/(g**(1/2)*g))/g)**(2/5)/((g**(2/5))**(-16)*(g*g*g*g**(-4/7)*g*g)/g**(-5)) assuming g is positive. g**(-332/105) Simplify ((c**(-1))**(1/3)/(c*c*c*c/c**(2/7)*c*c*c)**(-2/15))/((c/(c*c*c/(((c**(6/5)/c)/c)/c)))/c**(-9))**(-1/63) assuming c is positive. c**(29/45) Simplify ((j*j**0*j*j**(-3))/(j*(j/((j**(1/4)/j)/j))/j*j*j*j/j**2))/((j/j**(1/2)*j*j*j**3)/(j**0)**3) assuming j is positive. j**(-41/4) Simplify ((((r*r**(-21)/r)/r)/(r*r**(-13)/r))/(r**(-5))**27)**34 assuming r is positive. r**4284 Simplify (i**(13/2)*i)**(-1/17)/((i**(2/9)/i)/(i*i**5)) assuming i is positive. i**(1939/306) Simplify ((j**(2/7))**(-3/41))**(-19)/((j**(-2/7)/j)/j**(-7))**11 assuming j is positive. j**(-17926/287) Simplify ((f**(-16/5)*f**20)/(f**(-9)/(f*f**(-14))))**31 assuming f is positive. f**(1984/5) Simplify (s**(2/5)*s**(-2/23)/s)**31/(s*s**2*s*s**(2/7))**45 assuming s is positive. s**(-172393/805) Simplify (((t*t/t**(-1/3))/t)**(8/5))**(-6/5)/((t**2)**(-45)*(t**(-2)*t)**(-1/3)) assuming t is positive. t**(6533/75) Simplify ((h/((h*h**18)/h)*h)**(-11)*h**7/(h/(h*h/(h**(-28)/h)*h)))**(6/11) assuming h is positive. h**(1284/11) Simplify (i**(-4)*i*i*i/i**4*i*i**(-2/9)/i**(-4))/(i**2*i**(2/9)*i*i**5*i**7) assuming i is positive. i**(-139/9) Simplify (t**(-1/3)/t*t)**(-7)/((t*t**(-4/5)*t)/t*(t**(2/17)*t)/t)*((t*t**(2/7))**(11/4))**(-10) assuming t is positive. t**(-119029/3570) Simplify (((((g*((g*g/(g/(g*g**(-3)))*g)/g)/g)/g)/g)/g)/(g*g**(4/7)/g*g*g))**(-13)*(g**(-1/4)/(g/(g*g**(-2/7)*g*g)))**(-3) assuming g is positive. g**(2269/28) Simplify (x/(((x/(x**(-2/7)/x))/x)/x*x*x)*x*x)**2*x**(2/15)/x*x**(-2)*x**4*(x**(3/2)/x)/x*(x/((x*x/((x*x**(-2))/x))/x)*x)**(-39) assuming x is positive. x**(8623/210) Simplify ((l**(2/9))**33*(l/(l**4/l))/(l**(2/37)/l))**19 assuming l is positive. l**(13243/111) Simplify ((l**3*l)/l**(-2))/(l**(-4/3)*l*l**(1/8))*(l**(-1))**3/(l**0*l*l/(l/(l**(1/4)*l))*l) assuming l is positive. l**(-1/24) Simplify ((a**(-24)*a**18)/(a**(1/16))**(3/22))**(2/19) assuming a is positive. a**(-2115/3344) Simplify ((h**(-1)/h)**(-49))**39*(h**(-6)*h/(h/((h/h**(2/3))/h*h)))/(h**(-3/5)*h/(h*h**(-1/4))) assuming h is positive. h**(229001/60) Simplify ((((h**(2/35)/h)/h)/((h/h**(-39))/h))**31)**(-34) assuming h is positive. h**(1510382/35) Simplify (c**1)**(-12)*c**(-7)*c*c*c*c/c**1*(c**(1/6)*c**(-6))/(c*c*c*c/(c**(-1)*c)*c*c)**(-3/4) assuming c is positive. c**(-52/3) Simplify (j**(-4/21)/j**(-7/3)*j**(-22)*j**27)**(-37) assuming j is positive. j**(-1850/7) Simplify (z/(z**0/z*z)*z)**(-31)*(z/z**(-1)*z)/(z/((((z**(2/5)*z)/z)/z)/z))*z/z**0*z**(-7)*z**2*z**(2/3)/z assuming z is positive. z**(-989/15) Simplify (g*(g*g**(-36))/g)**(-14)/(g**(2/51)*((g**(1/32)*g)/g*g)/g*g) assuming g is positive. g**(797933/1632) Simplify ((o*o**(-2/47))/o*o/(o*o**(-9/4)))/(o/o**(-2/21)*o**(5/13)*o) assuming o is positive. o**(-13981/51324) Simplify (((n/(n*n/n**(8/7)))/(n*n/n**2))/(n**(3/4))**(37/3))**(-5) assuming n is positive. n**(1275/28) Simplify ((c*c/(c**(-1/2)/c*c))**2*((c/(c*c/((c/c**0)/c*c)*c))/c)/c**(2/5))/((c**(-2/7)*c)**(25/
{ "pile_set_name": "DM Mathematics" }
220*j - 216*j - 28. Let f be 20 + -4 - j - (-1 + 3). Sort 0, 4, f in decreasing order. f, 4, 0 Let o = 2279.1 + -2159. Let c = o - 120. Sort 4/5, c, 4/77 in ascending order. 4/77, c, 4/5 Let v = -606.65 + 692.568. Let p = v - 86. Let d = p - 4.918. Sort -6/11, 3, d. d, -6/11, 3 Suppose 1 = 18*h - 17*h + 16. Put h, -1/2, 30 in descending order. 30, -1/2, h Let b = -103/82 + 557/574. Sort b, -5, -143. -143, -5, b Suppose i = 3*h + 4*i - 294, 3*h - 5*i = 326. Let n be (38/(-8))/(4 - h/24). Let m(d) = -d**2 + 21*d - 40. Let x be m(n). Put x, -5, -6 in descending order. x, -5, -6 Suppose -3*t + 898 = -2*v, 4*t = -4*v - 1672 - 204. Sort -5, -6, 2, v, 5 in increasing order. v, -6, -5, 2, 5 Let b be 0 - (10 + (5 - 16)). Let u be (-8)/(-28) - (-46)/(-14). Put -43, u, b in ascending order. -43, u, b Let y(c) = -6*c**2 - 162*c + 1. Let h = 715 - 742. Let w be y(h). Suppose 4*j - 60 = 16. Sort w, j, 0, 3 in ascending order. 0, w, 3, j Suppose -3*p - 7 = n, 0 = 5*n - 9*p + 5*p - 3. Suppose 407*d = 4*a + 405*d + 50, d = 3*a + 36. Sort a, -4, n in descending order. n, -4, a Let t = -3 + 8. Suppose -1 + 7 = 3*r - t*w, 0 = -4*w. Suppose 0 = 3*k + 2*j - 4, 2*j = 4*k - j + 6. Sort -1, r, k in descending order. r, k, -1 Let i = 2018 - 2007. Let z = -21 - -22. Sort 0, i, z, -0.2 in descending order. i, z, 0, -0.2 Let u(f) = -f**2 + 9*f - 15. Suppose 0 = -2*i - p + 6, 4*i - 2 = -p + 12. Let k be u(i). Sort -3, -5, 8, k. -5, -3, k, 8 Suppose -29*t - 3*t - 24*t = -168. Suppose 0 = -2*s + 4*f - 6, 3*s + 5*f + 7 = -2. Sort s, t, -2, 8. s, -2, t, 8 Let x = 10.991 + -10.691. Sort x, 3/5, 2/5, 0.1, 1/9 in descending order. 3/5, 2/5, x, 1/9, 0.1 Let g(i) = -i**3 + 16*i**2 + 18*i - 20. Let f be g(17). Let p = f - -5. Let s(a) = -a**3 + 3*a**2 - 3*a - 2. Let r be s(p). Sort r, 3, -5 in descending order. 3, r, -5 Suppose 0 = 13*s - 6*s - 14. Let k(y) = -6*y**3 - 2*y**2 + 24*y - 21. Let w be k(1). Sort w, -91, 3, s in increasing order. -91, w, s, 3 Let t(k) = -6*k - 33. Let d be t(-7). Let l = 3729 - 3717. Sort -4, l, d in decreasing order. l, d, -4 Let y = 0.51543 - 0.01543. Put 0.3, 8, -0.4, 5/3, y in increasing order. -0.4, 0.3, y, 5/3, 8 Let c be 0/2 - (-26)/20*(-14)/91. Sort c, -3, 127, 3/5, -0.3 in increasing order. -3, -0.3, c, 3/5, 127 Let x(u) = u**3 - 29*u**2 + 61*u + 37. Let d be x(27). Suppose -10*i + d - 206 = 0. Sort -3, 6, i in ascending order. -3, i, 6 Let r = 1963 - 1968. Put 63, r, -14 in increasing order. -14, r, 63 Let k be (2 - 0) + 0 - 0. Let a be 5 - k/(-3 - -1). Suppose -76*z + 269 + 154 = 65*z. Put z, a, 5 in decreasing order. a, 5, z Let h = 187 + -185. Sort -197, h, -3. -197, -3, h Let i(f) be the first derivative of f**4/4 - 2*f**3/3 - 7*f**2/2 - 6*f - 9. Let h be i(4). Let o be 12/(-8) - (-9)/6. Sort -7, h, -5, o. -7, -5, h, o Suppose 1215 - 1197 = -6*d. Sort 4, d, -2, -30 in increasing order. -30, d, -2, 4 Let p(q) = -15 - 2*q**2 - 4*q**2 + q**3 - q + 6 + 14 + 20. Let x be p(3). Sort 2, x, -15 in decreasing order. 2, x, -15 Let p = -0.1 + -0.1. Let q(g) = -82*g - 8204. Let w be q(-100). Put p, w, 22 in decreasing order. 22, p, w Let q = -41 + 25. Let a = -55 - -277/5. Let g = 6963/4 + -1741. Put g, a, q in descending order. a, g, q Let s(c) = -c + 22. Let l be s(21). Suppose 0 = -3*k - i + l, 0 = 2*k + 2*k - 2*i - 8. Put k, -3, 3 in decreasing order. 3, k, -3 Let v = -205.6 - -37.6. Let b = v + 171. Let x be -3 - (21/(-6) - -2). Put x, b, 0.2, 2 in ascending order. x, 0.2, 2, b Let t = 10695 + -10451. Sort t, 0.4, -1, -4, 1/3 in descending order. t, 0.4, 1/3, -1, -4 Suppose 0 = -349*m + 347*m + 10. Suppose -5*t = -10*t. Suppose -5*c = -0*x - x - 9, -x - 4*c + 9 = t. Sort x, m, -5, -2 in decreasing order. m, x, -2, -5 Let f = 3772 - 3772.5. Put -113, -1/5, 1, f, 0 in decreasing order. 1, 0, -1/5, f, -113 Let q(a) = a**2 - 55*a + 371. Let w be q(47). Put w, 28, 4, -3, -1 in decreasing order. 28, 4, -1, -3, w Let w be (694/234 + -3)/((-26)/117). Sort 3, w, -2 in descending order. 3, w, -2 Let l = 0.4 + 1.6. Let b = 50 - 47. Let r = b - 3. Sort 1/11, r, l in descending order. l, 1/11, r Let u be 8/(-12) + (-3 - 397/(-108)). Let q = u + 295/3132. Let y = 37/203 + q. Sort -0.11, -4, y in decreasing order. y,
{ "pile_set_name": "DM Mathematics" }
f*t + l*t**4 and give f. 2 Express 11*u - 22*u + 11*u + 28*u**2 - u**2 + 4*u**2 - 4*u**2 + (111*u + u**2 - 111*u)*(5 - 1 - 2) as y*u**2 + h*u + z and give h. 0 Rearrange -107*u + 2 + 16*u**2 + 26*u - 17*u**2 + 2*u**2 to the form t + f*u + k*u**2 and give f. -81 Express -218 - 165 - 152 + t + 407 in the form k + m*t and give m. 1 Rearrange -7*w**3 + 5*w**2 - 8*w**2 + 0*w - 6*w - w**4 + 5*w to n*w + s + t*w**4 + q*w**3 + d*w**2 and give t. -1 Rearrange (-w**3 - 2*w**3 + 5*w**3 + (-2 - w**2 + 2)*(-2*w + 3*w - 3*w))*(141 - 129 - 4*w + 10*w) to the form i*w + n + y*w**3 + z*w**4 + m*w**2 and give z. 24 Express 2 - 2*f - 2 + 1 + f - 1 + (0*f - f + 0*f)*(2 + 4 - 4) + (-11*f - 13*f + 11*f)*(5 - 4 - 6) in the form k + a*f and give a. 62 Express -1 - o + 0 - 5*o + 5*o - o**3 - 2*o**4 as y + u*o + l*o**2 + m*o**3 + r*o**4 and give u. -1 Rearrange 273*g - 93*g - 379*g**2 - 179*g - 2 to h + r*g**2 + x*g and give x. 1 Express 21754 + 91*d**2 - 21754 + (3*d + d - 6*d)*(0*d + d - 3*d) in the form v*d**2 + a + u*d and give v. 95 Express -20*n**3 - 34*n**3 + 49*n**2 - 50*n**2 as m + a*n**3 + v*n + x*n**2 and give a. -54 Express -3*p + p - 1584*p**2 + 1478*p**2 in the form f*p**2 + t + m*p and give t. 0 Rearrange -51*c**2 - 97 + 97 to k*c + q*c**2 + f and give q. -51 Express 5*k**3 - 21*k**4 - 18*k + 2*k**4 + 21*k in the form v*k**2 + h + p*k**4 + i*k**3 + m*k and give i. 5 Express (-275 + 338 - 262)*(-s + 4*s + 3*s) as h + w*s and give w. -1194 Rearrange (7*u + 3*u - 9*u)*(-u**2 + u**2 - u**2) + 442*u**3 - 4138*u + 4138*u to the form h*u**2 + a*u**3 + s + j*u and give h. 0 Express -17*c + 45*c**2 + 4*c**3 - 25*c**2 - 22*c**2 in the form j*c**2 + n + r*c + g*c**3 and give r. -17 Express (0 + 3 - 4)*(v + 1 - 1) + (-3 + 4 - 3)*(47*v - 23*v + 28 - 26*v) in the form y + w*v and give y. -56 Express (l + l + 0*l)*(0*l - 2 - 3*l + l)*(-14*l + 38*l - 14*l)*(101*l - 12*l + 65*l) as h*l + q + p*l**4 + j*l**2 + k*l**3 and give p. -6160 Rearrange (0 + 1 - 4)*(-f**3 - 2*f**3 + 2*f**3) + (-4*f - 9*f + 3*f)*(-3 + 3 - 2*f**2) + 0 + 0 + 2*f**3 to j*f**3 + u*f**2 + y + d*f and give j. 25 Express -173 + 135 + 510*w + 38 in the form y*w + q and give y. 510 Express (-2*v + 4*v - 3*v)*(-3*v + 3*v + v) + 87*v + 85*v**2 - 87*v + 1 in the form y + j*v + o*v**2 and give y. 1 Express (4*m - 3*m - 3*m)*(-54*m + 1 + 14*m**2 + 54*m)*(4*m - 7 + 6 + 5*m) as y*m + j*m**3 + o*m**2 + c*m**4 + n and give n. 0 Rearrange (2*u**3 - 3*u**3 + 0*u**3)*(-43 + 79 - 57) + 0*u**3 + 2*u**3 + 3*u**3 to j*u + s + g*u**2 + t*u**3 and give j. 0 Express ((-1 + 0 - 2)*(-2*w + w + 3*w) + 8 + 2*w - 8)*(1 - 3 - 2) in the form a*w + t and give a. 16 Rearrange -5 + z + 10 + 2*z**3 - 7*z to u*z + i + f*z**2 + w*z**3 and give i. 5 Express -7*m**2 - 23*m + 3*m**3 - 29*m + 50*m - 11 + 12 as w*m + c + u*m**3 + j*m**2 and give c. 1 Express 65*a**2 - 325*a**2 + 43*a**2 - 251*a**2 as z*a**2 + j + f*a and give z. -468 Express (-3*d + 3*d**2 + 3*d)*((-3 + 3 + 2)*(50 + 50 - 80) - 3 + 5 - 4)*(-2 + 5*d - 3*d - 4*d) in the form w + q*d**3 + r*d + i*d**2 and give q. -228 Rearrange 147*m**2 + 535*m**2 + 388*m**2 + 67*m**2 to r + p*m + q*m**2 and give q. 1137 Express (13*c - 11*c + 2 + 4*c)*(16 + 15 - 11) in the form b + l*c and give b. 40 Express 891*v**2 + 1 - 6*v**3 - 891*v**2 - 605*v + v**3 + 2*v**3 as f*v**2 + y*v + l + t*v**3 and give y. -605 Rearrange -92*u**2 + 6*u**4 - 4*u**3 - u**4 + 122*u**2 + u + 0*u**3 - 3*u**4 to the form a + g*u + r*u**2 + j*u**3 + z*u**4 and give r. 30 Express 3*x - x**2 - x**2 + x**2 + 18 + 170 - 6*x in the form z*x + y*x**2 + i and give z. -3 Express 9*z**3 + 7*z**3 - 15*z**3 - 53*z - 1 in the form a*z**3 + v*z**2 + o + d*z and give a. 1 Express (5*s + s - 4*s)*(-737 + 1108 + 2*s - 756) as w*s + a*s**2 + h and give a. 4 Express (-443*x - 4*x**2 + 4 - 8 + 441*x)*(90 - 90 - 16*x) in the form n + k*x**3 + p*x**2 + h*x and give k. 64 Rearrange -193*n + 133*n + 336*n + 782*n + 113*n to the form o*n + m and give o. 1171 Express -4*i**3 - 22
{ "pile_set_name": "DM Mathematics" }
s greater: w or d? d Let k = 11851 + -12001. Which is smaller: -140 or k? k Let l = 15163 + -60653/4. Let x = -79.9628 - -80. Which is bigger: x or l? x Suppose -7*r + 791 = -5*r + v, 3*r - 2*v = 1204. Let b = r - 13136/33. Is b != -0.4? True Let y = 15/1391 + -1451/5564. Which is smaller: y or 5932? y Let h = -14 - 14. Let r = 400.9 + -373. Let o = r + h. Which is bigger: o or -1/3? o Let a be ((-3)/(-639))/(11/6). Let c be (66/27)/(-11)*135/(-30). Is c <= a? False Suppose 4*a + 20 = 3*z, 0*a = 4*a - 5*z + 20. Let r(l) = l**3 + 4*l**2 - 3*l - 5. Let y be r(a). Let x = y + 25. Is 11 bigger than x? True Let g(h) = -h**3 - 9*h**2 - 7*h + 6. Let i be g(-6). Let y = 51 + i. Let c be ((-3)/(-8))/(y/282)*-2. Which is smaller: 24 or c? c Let g = -17387 - -72312535/4159. Are g and 0 non-equal? True Let q = -256 - -276. Suppose 5*x - q = 0, -4*s - 6*x + 3*x = -16. Is -1/737 < s? True Suppose -3*v = j - 2*j + 15, 3*j - 5 = v. Let l = 123 - 124. Let a be (28/(-24) + l)/((-3)/(-6)). Is a at least v? True Let v = 0.3845 + -258.3845. Which is bigger: v or 0.07? 0.07 Let z(w) = 49*w**2 + 18*w + 2*w - 3*w**2 - 115 - 38*w**2. Let n be z(6). Is 292 less than n? True Let k be (-2)/(10/(-4) - -2). Let v(a) = 90*a + 280. Let d be v(-3). Suppose 2*r = t + d, k*t - 8 = -0. Which is greater: r or 8? 8 Let n = 176/1785 + -2/595. Let z be 1/(-5) - (-42)/35. Which is smaller: n or z? n Suppose -2*k + 5 + 3 = 0. Suppose 3*y - 5*t + 18 = 0, y + 3*t + 43 - 65 = 0. Let u = y - k. Which is bigger: -1/3 or u? u Let g be ((-3)/6 + (-6279)/(-12054))/1. Which is greater: 1 or g? 1 Let h(p) = p**2 - p - 1. Let a be h(-1). Let x = -1800010 + 5983232401/3324. Let m = x - -2/831. Which is greater: a or m? a Let x = -3219 - -2011877/625. Let f = 422 + -422. Is x != f? True Let l = 494 - 508. Let y = l - -24. Which is greater: y or -9? y Let f(q) = -6*q**2 - 11*q + 203. Let l be f(0). Which is smaller: 202 or l? 202 Suppose -2*w + 6 = -26. Let x be -6 - (-2)/(w/(-104)). Let y be -22 + -3 + (-2 - -4). Which is bigger: y or x? x Let i = -8.52 - -31.96. Let h = 98 + -98.56. Let x = h - i. Which is smaller: 2 or x? x Let t = -706 + 696. Let n = -22665/7 + 3227. Which is smaller: n or t? n Let a be 28/16*(-1)/(21/(-12)). Let o = -3 - -1. Let z be 69/(-21) - o - 1. Which is greater: a or z? a Let w be 325/5*2/(-5). Let y = -543 - -543. Which is bigger: w or y? y Let k = 3322688/379 + -8767. Which is bigger: k or -1? k Suppose 10521 = 203*w + 155 - 4656. Is 74 at most as big as w? True Let k(r) = -6*r**2 + 2*r. Let w be k(3). Let j = 159287 + -159334. Which is bigger: w or j? j Let n = 3/207466 + 1471660065/414932. Let a = n - 3526. Which is smaller: a or 21? a Let g = 1024/7 + -146. Suppose -3*t - 5*d = -626, 7*t - 3*t = -d + 846. Let n be t/(-530) - 23/(-70). Is g at most as big as n? False Suppose 0 = 13*r - 892 + 879. Are 2/25445 and r equal? False Let g = -1.253 - 0.647. Let z = -3 - -2.99. Is g bigger than z? False Let z = -2525 + 1904. Is z < 4? True Let q(g) = 2*g**2 + 8*g + 16*g**2 + 64 - 19*g**2. Let m be q(-5). Let c be 2/(-3)*(-2)/46. Which is greater: c or m? c Let k = 10951 - 10392497/949. Let d = 498247.9 + -498248. Which is bigger: k or d? k Let p = 178.41 - 49.91. Which is bigger: p or -2? p Let d = -7 - -5. Let l = -387 - -241. Let t = l + 130. Which is bigger: t or d? d Let u be 2450/(-9720) - (-2)/8. Let i = -4498 - -4497. Are i and u equal? False Let y = 231 + -220. Let h be (y - (0 - -6)) + -5. Which is smaller: h or -3/91? -3/91 Let f = -0.399 - -71.399. Let o = f + -70.962. Which is bigger: o or 0.1? 0.1 Let y = 4.8 + -4.9. Let n = -360 + 5402/15. Which is greater: y or n? n Let o = -85 - -87. Suppose -o*j - c + 34 = 0, -4*c = -7*c. Which is smaller: j or 0.1? 0.1 Let n(q) = -6*q + 50. Let h be n(7). Suppose 1536 = h*r + 256. Is r at least 159? True Suppose 28*n - 13*n = -117*n + 366300. Is n greater than or equal to 2775? True Let k = 42 + -41.69. Let q = -22892 - -22891. Are k and q equal? False Let q = 92.5 - 98.57. Let g = -6.38 - -0.38. Let b = g - q. Which is smaller: 1 or b? b Suppose -2*s = -v, -s + v - 43 = -42. Which is smaller: s or 1/56554? 1/56554 Let h be (-244)/((-59 + 60)/(1*(-3)/3)). Which is smaller: h or 3174/13? h Suppose -5*g + 19 = 5*l - 11, 0 = 4*l + 2*g - 28. Suppose 2*b - 8 = 4*m, -3*m + l = -11*b + 13*b. Which is smaller: m or -45/8? -45/8 Suppose 3*w - 75 = 4*j + 193, -4*w = 5*j + 304. Let x be 36*-3*(-5)/45. Let o = x + -76. Is o at least as big as j? True Let q = 0.0874 + -0
{ "pile_set_name": "DM Mathematics" }
What is -126.1 rounded to the nearest 10? -130 Round 0.15529 to two dps. 0.16 What is 2008300 rounded to the nearest 100000? 2000000 Round -37253.1 to the nearest 1000. -37000 Round -0.004812 to three decimal places. -0.005 What is 583 rounded to the nearest one hundred? 600 What is 0.92241 rounded to one dp? 0.9 What is -0.0049947 rounded to three decimal places? -0.005 What is -1170 rounded to the nearest ten? -1170 What is -0.257 rounded to 0 dps? 0 What is -2034.9 rounded to the nearest ten? -2030 What is 28.8606 rounded to the nearest integer? 29 Round 0.0006781 to 5 dps. 0.00068 What is 7470000 rounded to the nearest one million? 7000000 Round -5561.2 to the nearest 10. -5560 What is -34320 rounded to the nearest 1000? -34000 Round -895460 to the nearest one hundred thousand. -900000 What is 1729.5 rounded to the nearest ten? 1730 Round 13.1957 to 1 dp. 13.2 What is -54222000 rounded to the nearest 1000000? -54000000 Round 218.33 to the nearest 10. 220 What is 24857 rounded to the nearest one hundred? 24900 Round 0.0004088 to four decimal places. 0.0004 Round -0.002178 to four decimal places. -0.0022 What is 635 rounded to the nearest 100? 600 What is 0.2387 rounded to 2 dps? 0.24 Round -0.059929 to two decimal places. -0.06 What is 16397000 rounded to the nearest one hundred thousand? 16400000 Round -9370000 to the nearest one million. -9000000 Round 0.000006404 to six dps. 0.000006 What is 0.0000009678 rounded to 7 decimal places? 0.000001 What is 89940 rounded to the nearest 10000? 90000 Round -1.588 to the nearest integer. -2 Round 1267300 to the nearest 100000. 1300000 Round 112.78 to the nearest ten. 110 Round -5.6569 to one decimal place. -5.7 What is 0.1923 rounded to 2 dps? 0.19 Round 612000 to the nearest one hundred thousand. 600000 Round -847.2 to the nearest one hundred. -800 What is -0.0244988 rounded to four decimal places? -0.0245 What is -76.1 rounded to the nearest ten? -80 Round 162.4 to the nearest 10. 160 What is -0.0002519 rounded to five dps? -0.00025 Round 0.00003151 to 6 decimal places. 0.000032 Round -0.16447 to 2 dps. -0.16 Round -20301000 to the nearest one hundred thousand. -20300000 What is 0.00163 rounded to 3 decimal places? 0.002 What is -2307000 rounded to the nearest 100000? -2300000 Round 67200 to the nearest 10000. 70000 Round -19170 to the nearest 100. -19200 What is -0.0439 rounded to two dps? -0.04 What is -2.64 rounded to one dp? -2.6 What is -7302000 rounded to the nearest 1000000? -7000000 What is -0.006085 rounded to 4 decimal places? -0.0061 What is -17202000 rounded to the nearest 1000000? -17000000 Round 0.0000949 to 6 decimal places. 0.000095 Round -0.00002522 to 6 dps. -0.000025 Round 181.79 to the nearest ten. 180 Round 40.55 to the nearest 10. 40 Round 0.0007585 to 4 decimal places. 0.0008 What is -294050 rounded to the nearest 10000? -290000 Round 0.0028247 to 4 decimal places. 0.0028 Round -0.00743 to three decimal places. -0.007 What is 0.0000009202 rounded to 7 dps? 0.0000009 Round -0.000033389 to seven decimal places. -0.0000334 Round -13.5737 to the nearest integer. -14 Round -64430 to the nearest one thousand. -64000 Round -0.0000003477 to seven decimal places. -0.0000003 What is -52000 rounded to the nearest ten thousand? -50000 What is -3.47256 rounded to 1 decimal place? -3.5 What is -126.79 rounded to the nearest ten? -130 What is -0.06499 rounded to 2 dps? -0.06 Round 1.37 to the nearest integer. 1 What is 0.00205 rounded to four decimal places? 0.0021 What is -218820 rounded to the nearest 10000? -220000 Round -122580 to the nearest 10000. -120000 Round 10700 to the nearest one hundred. 10700 Round 10000000 to the nearest 1000000. 10000000 Round -2443.7 to the nearest 10. -2440 Round -0.047 to two decimal places. -0.05 Round 0.000059 to four dps. 0.0001 What is 0.00295 rounded to 3 dps? 0.003 Round -861 to the nearest ten. -860 What is 199.872 rounded to the nearest 10? 200 What is 0.000011497 rounded to seven dps? 0.0000115 What is -0.0000126309 rounded to six decimal places? -0.000013 Round -59.84 to the nearest ten. -60 Round -46370 to the nearest 1000. -46000 What is -0.0083425 rounded to 3 decimal places? -0.008 What is -6646500 rounded to the nearest one hundred thousand? -6600000 What is 1450 rounded to the nearest 1000? 1000 What is -0.0000006031 rounded to seven decimal places? -0.0000006 Round 806 to the nearest one thousand. 1000 Round -8492500 to the nearest one hundred thousand. -8500000 Round -0.07941 to 3 decimal places. -0.079 Round 748040000 to the nearest 1000000. 748000000 What is -0.0000191338 rounded to 7 decimal places? -0.0000191 What is -347.67 rounded to the nearest 10? -350 Round -32802 to the nearest 1000. -33000 What is -9838 rounded to the nearest 100? -9800 What is 0.0006008 rounded to 5 decimal places? 0.0006 Round -0.00000053506 to 7 decimal places. -0.0000005 What is -144 rounded to the nearest 10? -140 What is -0.53061 rounded to three dps? -0.531 What is -0.00061531 rounded to 5 decimal places? -0.00062 What is -0.0063247 rounded to 5 decimal places? -0.00632 What is 2405 rounded to the nearest 100? 2400 Round -2838 to the nearest one hundred. -2800 Round 4091 to the nearest one hundred. 4100 Round -70190 to the nearest 1000. -70000 What is 2.37 rounded to zero dps? 2 Round 0.000010561 to 6 dps. 0.000011 What is -177900 rounded to the nearest 10000? -180000 Round -11050000 to the nearest 1000000. -11000000 Round -0.00020413 to six decimal places. -0.000204 What is -0.00010979 rounded to 6 dps? -0.00011 Round 0.00017969 to six decimal places. 0.00018 What is 2.7799 rounded to one decimal place? 2.8 What is 0.05459 rounded to three decimal places? 0.055 What is 0.0000056001 rounded to six decimal places? 0.000006 Round -0.0000005948 to 7 dps. -0.0000006 What is 0.00040943 rounded to 5 decimal places? 0.00041 Round 31500000 to the nearest 1000000. 32000000 Round 3.1723 to 1 dp. 3.2 Round 0.0001538 to five decimal places. 0.00015 What is 11157400 rounded to the nearest one hundred thousand? 11200000 Round -1093 to the nearest ten. -1090 Round 58
{ "pile_set_name": "DM Mathematics" }
Let a = 2.09 + -2.09000191. What is a rounded to seven dps? -0.0000019 Let l(i) = -i**3 - 2*i**2 - i - 2. Let f(a) = a. Let m be f(-2). Let k be l(m). Suppose n + 2*n - 7200 = k. What is n rounded to the nearest 1000? 2000 Let u = 7559 + -7168.24. Let z = u - 379. Let r = 0.94 + z. What is r rounded to the nearest integer? 13 Let q = 411 + -411.0257. What is q rounded to 3 decimal places? -0.026 Let q = -4.3 + 0.3. Let y = q - -4. Let s = -0.0024 - y. Round s to 3 decimal places. -0.002 Let k = 184 - 183.9999881. Round k to six dps. 0.000012 Let f = -445 - -871. Let p = -425.99759 + f. What is p rounded to four decimal places? 0.0024 Let i = -461.00000482 + 461. Round i to six dps. -0.000005 Let m = 3146 + -3159.31. Let x = 13 + m. Let b = -8.01 - x. What is b rounded to the nearest integer? -8 Let r = -3589 + 1189. Let b be r/((1 - 0)/(-2875)). Round b to the nearest one million. 7000000 Let w(q) = 63284*q**2 - 45*q + 16. Let b be w(16). Round b to the nearest 1000000. 16000000 Let x be (-58)/7 - 4/(-14). Let s be ((-10)/x)/((-5)/(-100)). Round s to the nearest 10. 30 Let a = 19595674.99108 - 19596199. Let o = a + 513.01. Let h = 11 + o. What is h rounded to four decimal places? 0.0011 Let n = -26.5 + -30. Let z = n + 46. What is z rounded to the nearest integer? -11 Suppose 2348 + 1852 = 3*n. Round n to the nearest 100. 1400 Suppose -z - 5 + 2 = -2*n, 3*n - 6 = 2*z. Suppose n*t = 4*t + 2080. Round t to the nearest 100. -500 Let c = 1.07 + -1.1. Let o = -0.18 - c. Round o to 1 dp. -0.2 Let w(d) = -190*d - 2. Let p be w(-7). Let c = 218 - p. Round c to the nearest 100. -1100 Suppose 4000 = 5*z - 10*z. Round z to the nearest one thousand. -1000 Let w = 0.042 - -23.958. Let h = -30.5 + w. Let m = 6.49999939 + h. Round m to seven dps. -0.0000006 Let f = -2552008 - -5926667. Let v = f + -3374641.000037. Let j = -18 + v. What is j rounded to five decimal places? -0.00004 Let n = -1.8 - -2.5. Let x = n + -2.4. What is x rounded to 0 decimal places? -2 Let w = 32748.69979 + -32749. Let t = w + 0.3. Round t to 5 decimal places. -0.00021 Let b(n) be the third derivative of -1999*n**4/24 - 4*n**3/3 - 8*n**2. Let t = -11 - -19. Let x be b(t). What is x rounded to the nearest 10000? -20000 Let w = 43.5 + -27. Let i = -12 + w. Let y = i + -4.462. What is y rounded to two dps? 0.04 Suppose -26*o = -25*o. Let l = 2 - 0. Let a be 4699 + o - (-2)/l. What is a rounded to the nearest 1000? 5000 Let x = -812.46 + 803. Let i = x - -9. Round i to 1 dp. -0.5 Suppose -2*u + 57010 = 3*r, r - 2394 = 3*u - 87898. Let j be 0 + -1 + -1 + u. Suppose -j = -4*n - n. Round n to the nearest 1000. 6000 Let t(q) = -2 - 8 + q - 1 + 0. Let k be t(11). What is k rounded to the nearest 10? 0 Let y = 54500 + -54504.7066. Let l = -4.7 - y. Round l to three dps. 0.007 Suppose 5*s - 5*g = -4030, 0 = -5*s + 4*g - 3*g - 4046. Round s to the nearest one hundred. -800 Let w(l) = l**3 - l + 3100000. Let c = -14 + 14. Let x be w(c). What is x rounded to the nearest 1000000? 3000000 Let z(u) = u - 4900. Let v be z(0). What is v rounded to the nearest 1000? -5000 Let z(c) = -c**3 + 6*c**2 + 16*c - 1. Let b(v) = -12*v**3 - 2*v**2 - 2*v - 1. Let a be b(-1). Let w be z(a). Round w to the nearest one hundred. -400 Let b = 0 - -0.24. Let l = 0.231 - b. Round l to 2 decimal places. -0.01 Let l = 0.8 - 1.37. Let x = l - 0.13. What is x rounded to 1 dp? -0.7 Let s = -1.9 - -1.93. Let o = s + -0.02997. Round o to five dps. 0.00003 Let r(j) = 2*j**2 - j - 4. Let l be r(3). Let a be (-2)/l - 61600008/(-44). What is a rounded to the nearest one hundred thousand? 1400000 Let x = -0.39 + -0.01. Let b = x + 0.45. Let j = b - 0.049996. Round j to 6 dps. 0.000004 Let s(h) = 3940*h. Let t be s(5). Round t to the nearest one thousand. 20000 Let u be (-2)/4*(1 + 3). Let y be -2*u/4 - -145. Round y to the nearest ten. 150 Let g = 5 - 5.01. Let w = g - -0.0154. What is w rounded to three decimal places? 0.005 Let z = 0.1810071 - 0.181. What is z rounded to 6 dps? 0.000007 Let g(l) = 3*l**3 - 4*l**2 - 2*l - 4. Let k be g(8). Suppose 6*z + k = z. Round z to the nearest ten. -250 Let b = 93851 - 56274. Suppose 2*z = 100351 + b. Suppose -j - 8964 + z = 0. What is j rounded to the nearest 10000? 60000 Suppose 0 = -5*k + 4203 + 7. Let b = 1762 - k. What is b rounded to the nearest one hundred? 900 Let r = 0.01 + -6.01. Let u = -10 - r. Let b = -4.00063 - u. What is b rounded to 4 decimal places? -0.0006 Let j = -17.908 + 18. Let t = -3.1 - -3. Let a = j + t. What is a rounded to 2 dps? -0.01 Let r = 24.914 + -25. What is r rounded to two dps? -0.09 Let h = 18.4 + -6.6. Let v = h + -11. What is v rounded to 1 decimal place? 0.8 Let j = -9357235 - -5477235. What is j rounded to the nearest one hundred thousand? -3900000 Let l = -64.03 - -0.03. Let p = l - -63.99999934. Round p to seven dps. -0.0000007 Let b(k) = -k. Let i be b(-5). Suppose p + 0 = i. Let g be (6 - 3 - p) + 402. Round g to the nearest one
{ "pile_set_name": "DM Mathematics" }
ement from moymomhypoppohhmmphm. 128/1615 What is prob of picking 2 i when two letters picked without replacement from {k: 1, w: 2, z: 7, i: 10}? 9/38 Calculate prob of picking 2 u and 2 d when four letters picked without replacement from {x: 3, d: 4, u: 4}. 6/55 Two letters picked without replacement from ovlvvorrlllvttn. Give prob of picking 1 n and 1 o. 2/105 What is prob of picking 3 r and 1 b when four letters picked without replacement from rrrbbbrrbbrrrrrr? 165/364 Two letters picked without replacement from {t: 1, h: 3, i: 7, u: 3}. Give prob of picking 1 i and 1 h. 3/13 Calculate prob of picking 1 y and 3 a when four letters picked without replacement from ayaayyyaayyy. 14/99 Two letters picked without replacement from {i: 2, c: 3, a: 4, m: 4, u: 1}. Give prob of picking 2 a. 6/91 What is prob of picking 1 r and 1 j when two letters picked without replacement from ujtutrvb? 1/28 What is prob of picking 3 y when three letters picked without replacement from {p: 2, y: 5}? 2/7 Two letters picked without replacement from {j: 2, a: 1, r: 1, o: 1}. Give prob of picking 1 r and 1 o. 1/10 What is prob of picking 1 z and 1 e when two letters picked without replacement from sssssszssse? 1/55 What is prob of picking 1 w and 1 f when two letters picked without replacement from wowwowywwgogf? 1/13 Two letters picked without replacement from {p: 3, z: 4, s: 2, m: 6, a: 1}. Give prob of picking 2 s. 1/120 Four letters picked without replacement from {m: 3, t: 3, f: 2, q: 1, z: 4, k: 4}. What is prob of picking 1 z and 3 t? 1/595 What is prob of picking 2 t, 1 g, and 1 y when four letters picked without replacement from {y: 2, g: 1, t: 2}? 2/5 Two letters picked without replacement from {b: 5, c: 9}. Give prob of picking 1 c and 1 b. 45/91 Calculate prob of picking 1 a and 2 y when three letters picked without replacement from vypppnvpvnavypvpnau. 2/969 What is prob of picking 1 m, 2 x, and 1 c when four letters picked without replacement from {q: 1, m: 2, v: 2, c: 1, x: 2, y: 1}? 1/63 What is prob of picking 1 f, 2 b, and 1 d when four letters picked without replacement from hfbfdpbt? 1/35 Calculate prob of picking 1 e, 1 y, and 1 w when three letters picked without replacement from {y: 1, w: 4, m: 2, e: 2, v: 2, u: 1}. 2/55 Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {o: 15, l: 4}. 20/57 Four letters picked without replacement from {j: 1, n: 1, f: 1, i: 1, v: 1}. Give prob of picking 1 i, 1 n, 1 v, and 1 f. 1/5 What is prob of picking 1 s and 2 e when three letters picked without replacement from eeessese? 15/28 What is prob of picking 1 o and 1 j when two letters picked without replacement from {o: 1, b: 5, j: 3, d: 1}? 1/15 Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, c: 2}. 1/6 Two letters picked without replacement from rctcctt. What is prob of picking 1 t and 1 c? 3/7 What is prob of picking 3 g when three letters picked without replacement from {l: 2, d: 3, g: 5, m: 5}? 2/91 Calculate prob of picking 2 i when two letters picked without replacement from {q: 3, i: 6, d: 5, p: 1, h: 2}. 15/136 Four letters picked without replacement from {g: 2, y: 6, j: 1, w: 2, i: 1}. What is prob of picking 2 w, 1 y, and 1 i? 2/165 Three letters picked without replacement from {i: 7, e: 1, s: 1}. What is prob of picking 1 e and 2 i? 1/4 Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {i: 4, v: 3, d: 1}. 3/28 Three letters picked without replacement from zrrlaghz. Give prob of picking 1 a, 1 r, and 1 l. 1/28 Four letters picked without replacement from lppupppggpuu. What is prob of picking 3 u and 1 g? 2/495 What is prob of picking 2 e when two letters picked without replacement from mssessemsmmss? 1/78 Two letters picked without replacement from {c: 2, o: 1, m: 7}. Give prob of picking 1 m and 1 c. 14/45 Four letters picked without replacement from xxpqkpxkpxkkx. Give prob of picking 1 q and 3 p. 1/715 Three letters picked without replacement from {v: 8, o: 4, p: 2, z: 5}. What is prob of picking 1 z, 1 v, and 1 o? 160/969 Four letters picked without replacement from eaeaeeeeeeaeeee. What is prob of picking 4 e? 33/91 Four letters picked without replacement from wwwwwwwwwwwwwtwwwt. What is prob of picking 2 t and 2 w? 2/51 Three letters picked without replacement from uuuuugugugugugggggg. What is prob of picking 1 g and 2 u? 120/323 Four letters picked without replacement from ksskysnknsn. What is prob of picking 3 n and 1 k? 1/110 Two letters picked without replacement from {s: 2, c: 1, o: 1, u: 1}. Give prob of picking 1 c and 1 u. 1/10 Three letters picked without replacement from {r: 1, e: 3, v: 3}. Give prob of picking 1 r, 1 e, and 1 v. 9/35 Three letters picked without replacement from xvvvvzvfxvzvnvfvvvv. What is prob of picking 1 f and 2 z? 2/969 What is prob of picking 1 b and 2 f when three letters picked without replacement from fmpmpifmbmmmfffmpmi? 10/969 Calculate prob of picking 2 f when two letters picked without replacement from {l: 5, f: 13}. 26/51 Two letters picked without replacement from ddtxnfsndddtdsssx. What is prob of picking 1 t and 1 f? 1/68 Two letters picked without replacement from eea. Give prob of picking 2 e. 1/3 Calculate prob of picking 1 b and 2 i when three letters picked without replacement from {i: 2, b: 3}. 3/10 Calculate prob of picking 2 t and 1 e when three letters picked without replacement from tteetett. 15/28 Four letters picked without replacement from pnnppn. What is prob of picking 1 n and 3 p? 1/5 What is prob of picking 1 n, 1 r, 1 l, and 1 w when four letters picked without replacement from {l: 2, n: 1, w: 3, d: 6, r: 2, b: 5}? 1/323 Two letters picked without replacement from dcccicidcccc. Give prob of picking 2 c. 14/33 Four letters picked without replacement from icigitgggcuu. What is prob of picking 2 g and 2 u? 2/165 Calculate prob of picking 1 f and 2 v when three letters picked without replacement from {f: 1, e: 14, v: 5}. 1/114 What is prob of picking 2 e, 1 m, and 1 y when four letters picked without replacement from {s: 6, y: 4, m: 3, e: 2}? 4/455 Calculate prob of picking 2 v when two letters picked without replacement from qaaaavqqvaqaa. 1/78 Calculate prob of picking 1 q, 1 n, and 2 x when four letters picked without replacement from duudqqqdqqxxxudndx. 1/102 Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {j: 5, t: 7, z: 1, u: 4, c: 1, y: 1}. 28/171 Three letters picked without replacement from {u:
{ "pile_set_name": "DM Mathematics" }
8.5268 235 * -104526 -24563610 399 * -31668 -12635532 Work out 809488.76 * -0.5. -404744.38 Calculate 16.5374*-4. -66.1496 Product of -753 and -251.44. 189334.32 Calculate 29003*-12859. -372949577 -0.12*-1801203.3 216144.396 Multiply 8 and -2008160. -16065280 Product of -0.2 and -47341312. 9468262.4 -0.1*153671693 -15367169.3 4.41 * -77.2 -340.452 -23440696*2 -46881392 49*684459 33538491 Multiply -0.026814 and 726. -19.466964 Product of -1655 and -355246. 587932130 What is 8.7 times -0.393372? -3.4223364 What is -106 times 61716? -6541896 Work out 0.3 * -0.08177307. -0.024531921 What is the product of 0.395 and 1023608? 404325.16 -24776.4714 times -2 49552.9428 -0.044 * -5039505 221738.22 Calculate 0.05*-5388.83. -269.4415 Work out -476078.1 * 1.5. -714117.15 -0.4*-31.84539 12.738156 Multiply 0.081101 and 2507. 203.320207 Work out -0.44 * 42625.81. -18755.3564 Multiply -20549.031 and 0.12. -2465.88372 Multiply -649372712 and -0.5. 324686356 Product of -6080545 and 1. -6080545 -0.22 times 204194 -44922.68 What is 86.4 times -1.52042? -131.364288 -14.8*42814 -633647.2 Multiply -0.025 and 0.66431. -0.01660775 Work out 522 * 102931. 53729982 What is -127603.9 times -29? 3700513.1 -0.23*-459125 105598.75 175717304 times 5 878586520 Calculate -62.9*360354. -22666266.6 Product of 0.791115 and 4. 3.16446 What is the product of -11.44 and -20.98? 240.0112 Product of -8.709 and -0.6. 5.2254 Multiply 0.078228 and -1921. -150.275988 What is -28.7 times -51.629? 1481.7523 Calculate -346*-11069. 3829874 What is the product of 2.88 and -31849.21? -91725.7248 What is -235 times 295201? -69372235 Product of -0.2 and 4278024.1. -855604.82 -0.745 times 521 -388.145 Product of -13315.908 and -0.4. 5326.3632 What is 5 times 2.09628? 10.4814 Multiply 5.44923 and -2. -10.89846 Product of -630320.8 and -0.5. 315160.4 646.77 times 0.386 249.65322 Multiply 0.1 and -38017775. -3801777.5 What is the product of -924 and -0.053131? 49.093044 0.002 * 403.12 0.80624 What is the product of 5406897 and -5? -27034485 Product of 5 and 36056614. 180283070 What is 0.2 times 0.04266071? 0.008532142 -59688.99 * -1.07 63867.2193 -185 * 47926 -8866310 Product of -8 and 244171. -1953368 -0.0124*7480 -92.752 0.03 * 94073.34 2822.2002 What is the product of -6.26 and 11661.87? -73003.3062 0.0700928 times -0.2 -0.01401856 0.4 * 2085706 834282.4 -0.8 times -1096161.2 876928.96 Work out 24.11 * -31234. -753051.74 Product of -0.04371493 and -3.8. 0.166116734 252854*10.4 2629681.6 What is the product of -2.87 and -471? 1351.77 What is 130.826 times -1.6? -209.3216 Product of 68 and -389754. -26503272 Product of 135 and 25669. 3465315 What is 4 times 36894.03? 147576.12 What is -194.343 times 14.5? -2817.9735 What is -0.27995 times -3127? 875.40365 Calculate -192490*774. -148987260 Multiply 0.4 and -17.443964. -6.9775856 What is the product of 4416 and 895.6? 3954969.6 Calculate -83.3*26.152. -2178.4616 What is the product of 0.71 and -152528? -108294.88 Calculate -1.66*-78393. 130132.38 What is 5 times 182726832? 913634160 Work out 68.8 * 0.10893. 7.494384 Multiply 5792 and 1202. 6961984 5544800 times -87 -482397600 Multiply 23531.4 and -1.37. -32238.018 -0.0008 times -0.0360306 0.00002882448 3 * -11.0504516 -33.1513548 Multiply -9.4 and -667.64. 6275.816 Calculate -1*-60910567. 60910567 -1.1 times 7722626.3 -8494888.93 30198*3553.5 107308593 Product of 69.97424 and 0. 0 What is 13772006 times 8? 110176048 -0.3 times -4.42017 1.326051 What is 16 times 26175364? 418805824 What is 13933 times -12.3147? -171580.7151 Work out -0.05 * 152736857. -7636842.85 5*-94975118 -474875590 631*43338.6 27346656.6 -1086 times -0.3608 391.8288 Product of -1373 and -442334. 607324582 6.2905854 times 0 0 Work out 3 * 5169896. 15509688 0.2*11.88862 2.377724 2.88 times -1405.1 -4046.688 Calculate 2*1545.7. 3091.4 What is -14 times -816.16271? 11426.27794 -3309 * 1870.1 -6188160.9 Calculate 52458*-0.0525. -2754.045 Product of -4873240 and -6. 29239440 -6*11915347 -71492082 What is 554850 times 0.53? 294070.5 What is the product of -1088.45 and 92.9? -101117.005 What is 24 times -13126922? -315046128 Multiply -15 and -45395. 680925 -1*32527777 -32527777 Calculate -22*3830. -84260 Multiply 382284539 and 0.4. 152913815.6 What is -3862 times -82.745? 319561.19 Calculate 0.057*-10505. -598.785 -0.382045 times 0.0336 -0.0128367
{ "pile_set_name": "DM Mathematics" }
*c + 3*p - 133 for c. -5 Solve j + 115 + 35 = -77*b, -4*j + 416 + 378 - 768 = -5*b for b. -2 Solve 27*u + 76 = 4*c, -c - 43 + 113 = 2*u + 51 for c. 19 Solve 2422308 - 2422093 = -5*p + 5*k, -175 = 4*p - 3*k for p. -46 Solve 12*p + 20 = 14*p - 7*m + 10*m, 3*m = 2*p - 8 for p. 7 Solve -2*z - 10*b + 491 - 954 = -491, -3*z + 22 = -5*b for z. 9 Solve -t + 27*a = 407, 2*t - 7*t + 63 = t - 0*t + 5*a for t. -2 Solve 6*g + 3*n - 15 = 0, -2*g + 141980*n - 141976*n = 0 for g. 2 Solve 30*q - 76 = 26*q - 5*l, -4*q + 68 = -q + l for q. 24 Solve 9*j + 40 = 4*q, -521*q + 2*j = -524*q - 5 for q. 1 Solve -2*z = 5*p - 94, -2*p + 141 - 28 = 3*z + 71 for z. 2 Solve 0 = y - g + 2, 420338*g - 420336*g = -y - y + 8 for y. 1 Solve -2*j - 4*c = 1182718 - 1182646, 4*j - c = 0 for j. -4 Solve 5*d - 33 = h, -117088*d = -3*h - 117093*d + 4 - 3 for h. -8 Solve -2*k - 24 = -2*m, -149173*k = -149170*k - m + 36 for k. -12 Solve 0 = -8*h - 5*s + 96, -732 = -2*h + 3*s - 810 for h. -3 Solve -4*p = p + 24*i - 29*i - 0 - 5, 30*i = -15*p + 60 for p. 2 Solve -5*c = -10*t - 101 + 26, 4*c - 188 = 25*t - 39 + 64 for t. -9 Solve 41 = -4*q + 3*i + 62, -35*q + 5*i + 305 = 3*i for q. 9 Solve -646*h = -224*h + g - 1265, -2*h + 0*g = -2*g - 8 for h. 3 Solve 3*j + 3*f - 21 = 0, 405*j = 406*j + 2*f - 12 for j. 2 Solve -3*k + 7*l - 4*l + 10 = -20, -3*k - 3*l = -48 for k. 13 Solve -m - 59882976 = 4*x - 59882945, 0 = -25*x + m - 56 for x. -3 Solve 4*d = -l - 17, -4*l = -231*d + 235*d + 20 for d. -4 Solve 8167*b = m + 8163*b + 17, -2*m + 2*b = 16 for m. -5 Solve 5471 - 2737 = 3*u - y + 2732, 10*u = 5*y for u. 2 Solve -3*s + 4*s = z - 2, 8*z = 7*s - z - 0*z + 14 for s. -2 Solve 2*r - 7 - 17 = 4*c + c + 3*r + 27, -2*c - 96 = 13*r for c. -9 Solve 2*g = q - 3, -9*q - 7*q + 19*q - 17 = 4*g for q. 11 Solve -3*r + 42 = -24*r, 4*r = 6*m + r for m. -1 Solve z + n - 741590 = -741584, -12*n = -4*z - 152 for z. -5 Solve 4730*k - 4733*k - 62 = 2*a, 0 = a - 5*k - 86 for a. -4 Solve -72 = -2*o + 59*f - 63*f, 3*o - 16*f = -266 for o. 2 Solve 3*b = -9*p - 60, -395 + 423 = 7*b - 3*p for b. 1 Solve 0 = -5*y - 9*k + 95, -5*y - 9*y + y + 3*k = -18*y + 35 for y. 1 Solve 5*s + 6*u = -62, -12 = 49105*s - 49103*s - 4*u for s. -10 Solve -7*n = 2*m - 0*n + 4*n + 92, -4*m = 3*n + 138 - 106 for m. -2 Solve 24*v - 81*v - 2*z - z = -9, -3*z = -4*v - 0 - 9 for v. 0 Solve 2*c + 124 = 3*v - 3*c + 42, -120 = -2*v + 8*c for v. 4 Solve 79*v - 5*y + 75 = 85*v, 4*v - 30 = -2*y for v. 0 Solve 24*h - 21*h - 16*d = -87, 3*h - 4*d = 1 - 16 for h. 3 Solve -c + 3*c - 6*n + 2*n = -70, -131*c + 4*n - 790 = -113*c for c. -45 Solve -4*u - 60 = 28*x, -x = -2*u + 7*u - 2*x + 28 + 47 for u. -15 Solve 0 = 28*p + 3*g + 261, -618447*p - 4*g - 39 = -618444*p for p. -9 Solve -56*o + 35 = 5*n - 65*o + 4*o, 5*o - 30 = -8*n for n. 5 Solve -17236*u + 17241*u - 18 = 2*v, 0 = -u - 2*v + 6 for u. 4 Solve 4*r = 18*d - 9*d - 242, 5*d - 10 = 2*r + 124 for r. -2 Solve -18151*o = -18149*o - 4*l + 14, 5*l = -5*o + 10 for o. -1 Solve 41504*k - 41501*k = 2*r + 14 + 19, 0*r + 39 = -r + 4*k for r. -3 Solve -6*h + 82*s - 51 = -5*h - 0*h + 90*s, -2*h - 18 = 2*s for h. -3 Solve 25*r - 4*u - 282 = 11*r - 6, 64 = 3*r + 4*u for r. 20 Solve -565*z + 566*z + 5 = 2*u, -5*u = 5*z + 40 for z. -7 Solve 3*i + d + 0 + 2 = 0, -12717*i + 4*d - 2 = -12719*i for i. -1 Solve 4*i + 98 = 3*f, 5*i - 1 = 2*f - 120 for f. 2 Solve -4295 = 4*u + h - 4422, -3*u + 51 = -14*h for u. 31 Solve 0 = 5*c + 4*d - 6*d + 87, 3*c + 21*d + 77 = 23*d for c. -5 Solve -3*i - 18*c - 28 = -55, -5*i + 4*c = -45 for i. 9 Solve -3*w = -4*k - 0*w - 0 - 2, -2126*k + 4*w - 72 = -2086*k for k. -2 Solve -4*g + 32*n = -248, -5*n - 53 = 122638051*g - 122638054*g for g. 6 Solve -5*p + 4*q = -57, -4*p + 30 = 60655*q - 60657*q
{ "pile_set_name": "DM Mathematics" }
om cppcipapcmiapc? 2/3003 Calculate prob of sequence vse when three letters picked without replacement from {y: 1, d: 1, i: 1, e: 2, v: 1, s: 2}. 1/84 Calculate prob of sequence up when two letters picked without replacement from {u: 2, p: 9, g: 2}. 3/26 Two letters picked without replacement from {s: 8, d: 2}. Give prob of sequence sd. 8/45 Calculate prob of sequence tqp when three letters picked without replacement from {m: 2, t: 2, b: 3, y: 2, q: 2, p: 1}. 1/330 What is prob of sequence zc when two letters picked without replacement from kyzcsykx? 1/56 Two letters picked without replacement from ujuurwuk. What is prob of sequence kw? 1/56 What is prob of sequence raz when three letters picked without replacement from {r: 2, a: 1, c: 2, v: 1, z: 1}? 1/105 Four letters picked without replacement from qaajxqlxxxaxaaapp. Give prob of sequence qlpx. 1/2856 Calculate prob of sequence qvv when three letters picked without replacement from qvqqvjvqqjvqqqqqqjjq. 2/95 Three letters picked without replacement from {z: 13, p: 5}. Give prob of sequence zzp. 65/408 Four letters picked without replacement from tbpcitltippppbp. What is prob of sequence cptb? 1/910 Three letters picked without replacement from {n: 1, l: 4, j: 2, t: 2, a: 8, z: 2}. What is prob of sequence zan? 8/2907 Four letters picked without replacement from iuvuufifiikis. Give prob of sequence vfsu. 1/2860 Two letters picked without replacement from srvvvrrqvrl. What is prob of sequence ql? 1/110 What is prob of sequence jjjb when four letters picked without replacement from tjtljjltbbjttbtjljt? 5/1292 Two letters picked without replacement from {a: 2, j: 7, h: 3, l: 3, k: 4}. What is prob of sequence ja? 7/171 Four letters picked without replacement from {s: 2, f: 3, z: 8, i: 1, x: 5}. What is prob of sequence zxxz? 35/2907 What is prob of sequence gb when two letters picked without replacement from gbjggddbddhtghb? 2/35 Four letters picked without replacement from {y: 5, x: 3, s: 3, f: 2}. Give prob of sequence fxsx. 3/1430 Two letters picked without replacement from {n: 1, h: 2, g: 3, i: 3, s: 1}. Give prob of sequence hn. 1/45 Calculate prob of sequence gxoo when four letters picked without replacement from xgvpxxox. 0 Calculate prob of sequence aphx when four letters picked without replacement from {a: 3, c: 9, x: 2, p: 1, h: 4}. 1/3876 Calculate prob of sequence xnsx when four letters picked without replacement from nrkrxxkksssrrrssrss. 7/46512 Calculate prob of sequence wwb when three letters picked without replacement from kbwwkbwbbwk. 8/165 What is prob of sequence in when two letters picked without replacement from iwnnwiiwbmn? 9/110 Three letters picked without replacement from {v: 2, k: 4, j: 2, l: 1}. Give prob of sequence jvv. 1/126 Calculate prob of sequence qu when two letters picked without replacement from quqttutqtnuuttq. 8/105 Calculate prob of sequence asa when three letters picked without replacement from {s: 3, a: 2}. 1/10 What is prob of sequence fj when two letters picked without replacement from juuwwfjtwulw? 1/66 Two letters picked without replacement from {h: 1, f: 1, n: 1, d: 1, c: 1}. What is prob of sequence hd? 1/20 Calculate prob of sequence nddc when four letters picked without replacement from nddxnndgndndddndcnn. 14/2907 What is prob of sequence pj when two letters picked without replacement from {j: 3, p: 3}? 3/10 Calculate prob of sequence oo when two letters picked without replacement from {l: 5, j: 1, b: 3, f: 1, y: 2, o: 3}. 1/35 Three letters picked without replacement from {m: 1, l: 1, w: 4, t: 2}. What is prob of sequence wtt? 1/42 What is prob of sequence tc when two letters picked without replacement from {p: 1, r: 1, t: 4, c: 3, e: 4, h: 1}? 6/91 What is prob of sequence pp when two letters picked without replacement from yyyyjyyyyypvwywp? 1/120 Two letters picked without replacement from {i: 8, l: 5, k: 5}. Give prob of sequence li. 20/153 Two letters picked without replacement from tjayjeefjtyy. Give prob of sequence jy. 3/44 What is prob of sequence vx when two letters picked without replacement from vbbugvbxb? 1/36 Four letters picked without replacement from {b: 14, y: 5}. Give prob of sequence bbyb. 455/3876 Calculate prob of sequence knz when three letters picked without replacement from bbbcnckznxcxx. 1/858 Three letters picked without replacement from {a: 1, w: 1, o: 1, f: 1, k: 1, e: 2}. What is prob of sequence wae? 1/105 Two letters picked without replacement from {z: 4, p: 2, d: 2, y: 1, l: 3}. Give prob of sequence pl. 1/22 Three letters picked without replacement from {t: 3, m: 3, x: 2, s: 9, o: 2, z: 1}. What is prob of sequence tos? 3/380 Two letters picked without replacement from uoouwuowuuzwue. Give prob of sequence ue. 3/91 Four letters picked without replacement from {m: 9, v: 4, a: 4}. What is prob of sequence avam? 9/1190 Three letters picked without replacement from {s: 7, w: 3, v: 2}. Give prob of sequence ssv. 7/110 Two letters picked without replacement from zbzzzbbzbbzbwbzzzbz. What is prob of sequence zz? 5/19 Two letters picked without replacement from zwwlzwcllwclwmdww. What is prob of sequence cc? 1/136 Three letters picked without replacement from {t: 2, h: 2, f: 4, e: 8}. What is prob of sequence ehf? 2/105 Three letters picked without replacement from mmmmwwdmwdmm. Give prob of sequence mmm. 7/44 Calculate prob of sequence qs when two letters picked without replacement from qwyseqi. 1/21 What is prob of sequence kk when two letters picked without replacement from {i: 2, y: 1, x: 2, z: 5, c: 2, k: 5}? 5/68 Four letters picked without replacement from {c: 4, i: 1, r: 3, m: 2}. Give prob of sequence rrrm. 1/420 Calculate prob of sequence rr when two letters picked without replacement from rrccrcrrccrrcc. 3/13 Four letters picked without replacement from {f: 4, n: 1, b: 2, x: 7}. Give prob of sequence nbbx. 1/1716 Calculate prob of sequence rr when two letters picked without replacement from {q: 6, r: 3, l: 6}. 1/35 What is prob of sequence cl when two letters picked without replacement from cddddlfdddcdcdcccc? 7/306 Two letters picked without replacement from tqqkqkqu. What is prob of sequence tk? 1/28 Two letters picked without replacement from {k: 1, x: 5, q: 3, c: 1, m: 2}. Give prob of sequence mm. 1/66 What is prob of sequence xqv when three letters picked without replacement from qqqrrqrqrkrqvxr? 1/455 Four letters picked without replacement from {p: 4, g: 6, m: 7}. What is prob of sequence gmgg? 1/68 Calculate prob of sequence ik when two letters picked without replacement from iikkkkkkk
{ "pile_set_name": "DM Mathematics" }
l be (1*3)/((-9)/(-9)). Suppose 0 = -4*u + 3*u + l. What is the highest common factor of u and 9? 3 Let c(s) be the second derivative of 1/20*s**5 - 1/12*s**4 + 0 + 2*s + 5/2*s**2 - 1/6*s**3. Let j be c(4). What is the highest common divisor of j and 7? 7 Let z(w) = w - 1. Let d be z(8). Calculate the highest common factor of d and 77. 7 Suppose -3*k + 2 = 6*o - o, 3*k + 2*o - 8 = 0. What is the highest common factor of 36 and k? 4 Let i(h) = 2*h**3 - 3*h**2 - 3*h - 3. Let o be i(4). Calculate the highest common factor of o and 26. 13 Suppose -5*b = -0*b - 4*p - 13, 2*p = -5*b + 1. Let j = 10 - 22. Let u = j + 23. What is the greatest common factor of u and b? 1 Let y = 29 + -8. What is the highest common factor of 147 and y? 21 Let t be (25/15)/((-2)/(-438)). Suppose -5*y = -260 - t. What is the highest common divisor of 50 and y? 25 Let v(f) = -4*f**2 - 9*f + 15. Let a(q) = -3*q**2 - 6*q + 10. Let m(p) = -7*a(p) + 5*v(p). Let k be m(5). What is the greatest common divisor of 3 and k? 3 Suppose 162 = -3*u + 63. Let r be (-126)/u + (-4)/(-22). Calculate the highest common factor of r and 32. 4 Let o = -24 + -3. Let z = o + 71. Calculate the highest common divisor of 11 and z. 11 Let p be (-1 + 3/2)*0. Suppose p*a - 9 = -a. Calculate the greatest common divisor of 3 and a. 3 Let t = 3 + -3. Suppose t = z - 6*z. Let g(x) = x**3 + x**2 + x + 7. Let b be g(z). Calculate the greatest common divisor of 7 and b. 7 Suppose 35 = 5*w - 0. Suppose 3*b = -9*b + 252. What is the highest common divisor of w and b? 7 Let p = 512 + -248. Let b be ((-14)/6)/((-4)/p). Let j be 86/6 - 1/3. Calculate the greatest common divisor of b and j. 14 Suppose -5*m = -4*t + 39, 0*m + m = -t + 3. Calculate the highest common divisor of t and 12. 6 Let u be 96/120*25/2. What is the highest common divisor of u and 50? 10 Suppose 5*w - 40 = 5*c, 0 = c - 0*c - 2. Suppose 3*m - 2*n = 100, -n + 2*n + 125 = 4*m. What is the highest common factor of w and m? 10 Let p = 12 + -7. Let s(f) = 4*f + 1. Let q be s(p). Suppose 3*r + 8 = -2*o + 26, 3*o + 3*r - q = 0. Calculate the highest common divisor of o and 3. 3 Let q be -25 - (1 - 0) - -2. Let i = 36 + q. Calculate the greatest common factor of i and 96. 12 Suppose -5*g - 5 + 40 = 0. Calculate the greatest common factor of 14 and g. 7 Let l(z) = -46*z + 4. Let w be l(-1). Calculate the highest common divisor of 400 and w. 50 Suppose 2*g + k - 20 = 0, k = -3*k. Calculate the greatest common factor of 15 and g. 5 Suppose -3*p = 2*l - 0*l - 5, -5*p + l + 17 = 0. Suppose p*k = 2*x - 4, 3*k - 21 = -x - 2*x. What is the greatest common factor of k and 2? 2 Let u = -80 - -88. Calculate the greatest common divisor of u and 8. 8 Let f be 1*3/((-12)/(-308)). Calculate the greatest common factor of 11 and f. 11 Let w(u) = -u**3 + 6*u**2 + 2*u - 5. Let f be w(6). Suppose 0*m = m + 5*i - 3, 0 = -3*m - i + 79. Calculate the greatest common factor of f and m. 7 Let j be (-2)/(-4)*0/2. Suppose -5*f + f + 20 = j. Let x be 50/f - (0 - 0). Calculate the greatest common factor of 5 and x. 5 Let w(c) = c**2 - 7*c + 6. Let n be w(6). Suppose n = 4*t - 21 - 39. What is the greatest common divisor of t and 120? 15 Suppose 2*f = 5*l - 21, 0*f - 2 = -f. Calculate the highest common factor of l and 15. 5 Let f be 0 + 0 + 97 + 2. Let v(x) = -5*x - 8. Let a(b) = -9*b - 15. Let j(l) = -4*a(l) + 7*v(l). Let z be j(7). What is the highest common factor of z and f? 11 Let r(d) = -d**3 - 5*d**2 - 4*d. Let m be r(-4). Let c be m + (-1 - -62 - 1). Let u be (15/4)/((-7)/(-28)). What is the greatest common factor of c and u? 15 Suppose 4*k = 4*r - 20, 5*k - 5 = r + 2. Let p = 57 - 33. What is the highest common factor of p and r? 8 Let o = -21 + 36. Let g be (-2 + -1 - 1) + 2. Let l be 1*2 + (-26)/g. What is the greatest common divisor of o and l? 15 Let y = 44 - 10. Let u = y + -7. Calculate the highest common divisor of 18 and u. 9 Suppose -5*g - 17 - 23 = 0. Let a(p) = -10*p - 2. Let b be a(g). Let o = b - 50. What is the greatest common factor of o and 7? 7 Let o = -17 - -33. What is the highest common divisor of 176 and o? 16 Let r(j) = 12*j - 1. Let v = 1 - -1. Let c be r(v). What is the highest common factor of c and 161? 23 Let k(m) = m**3 + 7*m**2 - 2*m - 1. Let p be k(-4). Suppose 4*x - 21 = -3*n, 5*n + 3*x = x + 49. Calculate the greatest common factor of p and n. 11 Suppose 0 = -4*s - 2*y + 172, 3*s - 4*y - 135 = 16. Calculate the greatest common factor of s and 30. 15 Suppose 0 = 7*k - 2*k + 45. Let s = 128 + k. What is the highest common divisor of s and 17? 17 Suppose -3*n = -3*w - 123, n - 4*w + w = 43. Suppose -9*c + 4*c = -n. Calculate the greatest common factor of c and 24. 8 Let d be 2 + (27 - 4/(-1)). Calculate the highest common factor of 6 and d. 3 Let y = -6 - -18. Calculate the greatest common factor of 6 and y. 6 Let h be (3/(-2))/(2/(-4)). Suppose -56 + 14 = -h*x. What is the greatest common divisor of x and 98? 14 Let j be ((-28)/5)/(8/(-20)). Suppose s - 30 + 2 = 0. Calculate the highest common factor of s and j. 14 Let a(d) = d**3 + d + 5. Let t be a(0). Let m be (-10)/t - (-3)/(-1). Let q be ((-8)/m)/((-4)/(-230)). What is the highest common divisor of q and 23? 23 Suppose -4*b + 858 = -2*c, b - 645 = -2*b + c. Suppose -s - 23 - 54
{ "pile_set_name": "DM Mathematics" }
n*n/n**1))**(-3/10)/(((n*n*n**6*n)/n)/n**1))/(n**3/(n*n*n**(-3/10)/n))**(-1/12) assuming n is positive. n**(-817/120) Simplify ((j**(-2))**(-14))**(1/14)*(j*(j*(j/j**(-4)*j)/j*j)/j*j*j**(-4/7)*j)/(j**(2/5)*j**(-2/9)) assuming j is positive. j**(3229/315) Simplify l**(-1)/l**(2/3)*l**4/((l**7*l*l*l)/l*l)*(l**(-2)/(l/l**(-2/9)))**(1/21) assuming l is positive. l**(-1478/189) Simplify (y**(2/5)*y/(y*y/((y**(-5)/y)/y))*y*y*y*y**2*y*y*(y/y**(1/2))/y)/((y**(1/3))**(1/7))**(-5/4) assuming y is positive. y**(-437/420) Simplify ((b**(-4/9)*b)/b**(-6))/(b**(-4)*b*b**(2/23))*(b/b**(-2))**(-13)*((b/(b*(b*b*b**1)/b))/b*b)**(3/34) assuming b is positive. b**(-104542/3519) Simplify ((f/(f*f*f**1*f)*f)**10/(f*f**1*f**0*f))/((f**0)**11*(f**(2/7))**(-36)) assuming f is positive. f**(-89/7) Simplify (c/c**(-26))**(-2/75)*(c/c**(1/13))/c*c**(-6/17) assuming c is positive. c**(-6353/5525) Simplify ((a*a*a/a**2)**(-20)/(a**(-2/39)*a**(-4/3)))**(2/15) assuming a is positive. a**(-484/195) Simplify ((i**(2/7))**35)**(-2/43)*(i/(i**(-3/11)*i*i)*i*i/(i**(-7)*i)*i)**(2/11) assuming i is positive. i**(5406/5203) Simplify (x*x**(2/9))**(-10/3)*(x*x*x/(x*x*x**(2/5)*x)*x*x)**(-26)*(x/x**(2/3))**(-48)/(x**(-1/11)/x**(-9)) assuming x is positive. x**(-104816/1485) Simplify ((l**12*l*l**(14/9)/l*l*l)**(-3/14))**(-1/49) assuming l is positive. l**(10/147) Simplify (i**26)**(-32/5)*i**(13/5)/(((i*i**(10/13))/i)/i) assuming i is positive. i**(-10632/65) Simplify (((g/g**(-3/2)*g**3)**(5/9))**(-6/11))**(-6/5) assuming g is positive. g**2 Simplify ((g**(-3/4))**(-2/23)*g**(-9)/g*g**(-23/2)/g)**(-2/79) assuming g is positive. g**(1032/1817) Simplify f*f**(-3/7)*f**2*((f**(-1/4)*f)/f)**(-35)*(f*f**(-1/2)*f*f*f*f)**42/(f*f**4*f*f**(-5)) assuming f is positive. f**(5581/28) Simplify ((((i**5/i)/i*i*i)/(i*i**(2/5)))/(i**3/i**(-2/7)))/(i**5/i*i*i*i**(-3/5))**(39/5) assuming i is positive. i**(-7316/175) Simplify ((i**12*i)/(((i*i**12*i)/i*i)/i)*i*i**(3/4)*i**(-1/2)*i)**(-1/6) assuming i is positive. i**(-3/8) Simplify ((k**(1/3))**(-49))**(-13/5)/((k**(-3)*k*(k/(k**(-1/2)/k)*k)/k)/((k**(-1)/k*k)/k)**(-9)) assuming k is positive. k**(1799/30) Simplify ((((t**2)**(12/19))**(2/17))**25)**(-49) assuming t is positive. t**(-58800/323) Simplify ((a**(-2/17)/a*a*a**(-44)*a)/((a/(a*a/a**(-5/3)))/(a*a**23)))**(26/5) assuming a is positive. a**(-21814/255) Simplify ((x**(2/11)/x)**32/(x*x**(2/23))**(-3/10))**18 assuming x is positive. x**(-117747/253) Simplify ((k/((k/(k*k**(-1/3)))/k))**(8/5))**(-50)/(((k/(((k*k**2)/k)/k))/k)**8/(k**(-2/7))**29) assuming k is positive. k**(-2806/21) Simplify ((b**(-1/8)*b)**(4/17)/(b/(b*b**(3/20)/b*b)*b)**(-1/51))**(-8) assuming b is positive. b**(-454/255) Simplify ((t*t**(-2/49))/(t*(t/t**(-8/13))/t))/(t**(3/5)*t*t**(-4/5)) assuming t is positive. t**(-4638/3185) Simplify (((a**(1/5)*a**(-1/4))/(a*a*a**5*a*a*(a/(a/a**(-2/15)))/a))**(-43))**(1/23) assuming a is positive. a**(4085/276) Simplify ((a*(a*a*a**(1/8)*a*a)/a*a/(a/(((a/(a**(1/4)/a))/a)/a*a)))**(1/36))**(-37) assuming a is positive. a**(-481/96) Simplify (k**(-2)*k**5/k)/(k**7*k*k*k**(2/9)*k)*((k/(k/(k/(k*k**(-2/11)))))**(8/5))**38 assuming k is positive. k**(1402/495) Simplify ((p**(1/2))**(-3/19)*(p/((p**(-3)*p)/p))/(p**(-9)/p))/((p*p*p**(-2/7)/p*p)**(-8/7)*(p/(p*p/p**(-2/5)))**(-34/5)) assuming p is positive. p**(296069/46550) Simplify ((h/h**7)**(7/2)/((h/((h/h**11)/h*h)*h)/h)**(-9/5))**(1/16) assuming h is positive. h**(-3/40) Simplify (((g**(1/5)*g)/(g**(-3)*g)*(g/(g/(g*g*g**10)))/g*g*(g/(g/((g*g*g**(-4))/g)))/g)**(-2/29))**28 assuming g is positive. g**(-3136/145) Simplify (z/z**(1/2)*z**(-3/2)*((z**(-2/5)*z)/z)**(-9))/(z**5/z**2*(z**1)**(-2/17)) assuming z is positive. z**(-24/85) Simplify ((z*z**1)**30*(z**(1/4)/z)**(-34))/(z**(-6/5)/(z*z*z**(-2/9)*z))**(-2/5) assuming z is positive. z**(37759/450) Simplify (h*h**(-9/5))**(3/2)/(h**(-26)*h**(-20/7)/h*h) assuming h is positive. h**(968/35) Simplify (c**(-10)/c)**(-24)/((c*(c**13*c)/c)/c**(2/107)) assuming c is positive. c**(26752/107) Simplify (((b*b/(b/(b**(-12/7)/b)))/b**(-1))/(b**(2/25)*b*b**(-11)/b))**(3/25) assuming b is positive. b**(5358/4375) Simplify (x**(2/9))**33/((x*x**(-6))/x**(2/21))*(x/(x/x**1))**(-1/51)*x/x**(-1)*(x**(1/3)*x*x)/x assuming x is positive. x**(5620/357) Simplify (y**(2/5))**0*(y*y*y*y/(y/y**(1/4)))**27*(y*y**(-
{ "pile_set_name": "DM Mathematics" }
+ z - 6*z + 3 = 0. Is 0 < y? False Let b = 1.3 - 1.23. Which is greater: 1 or b? 1 Let s = 2.4 + -0.4. Is s less than -12? False Let m = -58/15 - -4. Let i(n) = -n**3 + 4*n**2 - 2*n - 3. Let a be i(3). Which is bigger: a or m? m Let x = -106 + 42. Which is greater: -0.2 or x? -0.2 Suppose -5*d - 4*z - 10 = 0, 0 = 2*d + 4*z + 3 + 1. Let n be (0/(0 - 2))/d. Is n less than 0? False Suppose 0 = -2*x + 3 + 3. Let n be (-3)/x*(5 - 3). Which is smaller: -0.2 or n? n Let d be -2*1 + 1628/(-126). Let y = -106/7 - d. Is y less than -2? False Suppose -5*y + 28 = 3. Does 19/5 = y? False Let g be 0/(2 - (4 + 1)). Let n = g + 0. Suppose -5*r = -n*h - h + 23, 3*h - 5 = -r. Is -5/2 < r? False Let p = 0.046 + -0.276. Let w = p + 0.46. Let d = w + 0.07. Which is smaller: 2/5 or d? d Let b = 0.06 - 0.09. Let s = -3.97 + b. Which is greater: s or 1? 1 Let g be 1/5 - (-384)/30. Which is greater: 14 or g? 14 Let q be (-91)/2 - (-1)/2. Let s = -48657/5 + 9686. Let c = q - s. Do c and -1 have different values? True Let z(v) = v**2 - 12*v + 17. Let x be z(9). Is x at least as big as -8? False Let d = -267/241 + 101698/75915. Let k = d - 2/63. Suppose 12 = 4*y - 0*y, 2*q + 2*y = 8. Which is greater: q or k? q Let h = 8/147 - -1088/1617. Which is bigger: h or 1? 1 Let x = 0.38 + -0.08. Let l = 1.3 - x. Which is smaller: -0.2 or l? -0.2 Suppose -h + 2 = -5. Which is smaller: h or 8? h Let x = 0.1 + 0. Let a = 0.1 + x. Let t = 2 - 2.1. Which is smaller: t or a? t Let o(d) = -d - 13. Let g be o(-6). Is g less than or equal to 2/3? True Let k = 33 + -46. Which is smaller: 2 or k? k Let m = 2.9 - -10.1. Let h = m - 14. Which is smaller: 3/7 or h? h Let y(w) = -w - 12. Suppose -3*g = 2*p + 62, -4*g + 23 = -6*g - 5*p. Let x = 11 + g. Let l be y(x). Which is greater: -2/15 or l? l Let h = -1784/11 + 162. Suppose -4*f = -2 - 2. Which is bigger: h or f? f Let g(h) = h**3 + h**2 - 5*h - 4. Let a be g(-3). Let t be (-8)/(-28) - (-4)/a. Which is bigger: 0 or t? 0 Let z = -2872/3 + 12983/15. Let d = z + 91. Which is smaller: d or -1? -1 Let i(t) = -t**2 - 3*t - 2. Let q be i(-4). Let u(g) = -g**2 - 6*g - 7. Suppose -8 = -2*d, -2*o - 3*o = -5*d + 50. Let v be u(o). Which is bigger: v or q? q Let w = 44.4 - -4.6. Let l = 46.1 - w. Let g = l + 3. Are 1 and g non-equal? True Let i(l) = -l + 12. Let u be i(8). Let r = -2 + 9. Let k = r + -4. Which is smaller: u or k? k Let m(i) = i**2 + i - 1. Let y be m(0). Is -2 at least as big as y? False Suppose -2*k = -2 + 6, -4*v - k = -70. Let g = v + -19. Does g = -1/29? False Let v = -16.8 + 16.4. Which is smaller: -23 or v? -23 Let l(f) = -f**2 + 6*f + 10. Let g be l(7). Suppose -g*p + 1 = -2. Which is bigger: 9/5 or p? 9/5 Let j(t) = t + 8. Let q be j(-13). Which is smaller: q or 0? q Let a = -1.93 - -2.1. Let n = a - 0.87. Let k = 6 - 5. Which is bigger: n or k? k Let b = -219/145 - -9/29. Are b and -2 non-equal? True Let r(c) = c**2 - 4*c - 4. Let j = 1 - -4. Let b be r(j). Is b greater than or equal to -1/11? True Let q = -6 + 6. Suppose -3*p - 3*w + 5 + 7 = q, -2*w + 9 = p. Which is greater: 2/5 or p? 2/5 Let x = 9 + 6. Which is smaller: x or 14? 14 Suppose -7*h = 4*m - 9*h + 6, -4*m = -h + 5. Let g be 29/(-148) + (-3)/(-12). Which is greater: m or g? g Let u = -22.2 + 23.2. Which is greater: u or -5? u Let n = -26 - -33. Is 7 less than or equal to n? True Let l be (1 - 1)/(-4)*1. Suppose l = z + 3*t + 13, 3*z + 0*t + 18 = -2*t. Is z less than or equal to -7? False Suppose -1 + 11 = 3*k - 4*u, -5*k + 5*u + 10 = 0. Is k >= 1? False Let l = 570 + -51301/90. Let k = 113/45 + l. Let s = 10 + -7. Does k = s? False Let t(i) = 5*i**2 - 4*i + 3. Let x be t(4). Let h = 123/2 - x. Let y = 5 + h. Is y equal to 0.1? False Suppose 15 = -3*h - 5*z, -z + 0*z + 3 = 0. Let r be ((-4)/h)/((-2)/(-10)). Suppose 2 + 2 = r*v. Is 2 < v? False Let s(q) = q**3 + 7*q**2 + 6*q + 5. Let y be s(-6). Suppose 0*l - y = 5*l. Which is greater: l or -3? l Let y(s) = -s**2 + s + 8. Let f be y(4). Is f at most as big as -19/4? False Let p be 5/(-3) + 3/(-9). Let c = p - -9/4. Which is smaller: c or 0? 0 Let w(j) = j + 3. Let f be w(-3). Let k = 4626/13 + -356. Which is bigger: f or k? f Let n(r) = r**2 + 6*r + 6. Let v be n(-5). Let g(x) = -x**2 - 4*x + 7. Suppose -3*t - 12 = 6. Let d be g(t). Is v at least d? True Let k be 87/27 + (-4)/18. Suppose 6*c = 4*c +
{ "pile_set_name": "DM Mathematics" }
17 Which is greater: -2/3 or -7800? -2/3 Is -2296 less than -2298? False Is 4 != -3.9? True Is 4038/257 not equal to 16? True Which is smaller: 7/1814 or 0? 0 Is 1743 > 19158/11? True Is -3.2747 less than or equal to 1? True Which is smaller: -1 or 71/2019? -1 Which is bigger: 18/7507 or -1? 18/7507 Which is smaller: 3/33323 or 1? 3/33323 Do -659312 and -659315 have the same value? False Are -5011546 and -5011546 unequal? False Is 68533 equal to 68534? False Which is bigger: -4/3 or -27/40? -27/40 Is -10.508 greater than or equal to -813? True Is -1063 less than -1042? True Is -9417 < -9409? True Which is smaller: 2 or 8888.3? 2 Which is greater: -10786 or -0.1? -0.1 Is 10/36083 at least as big as 0? True Which is bigger: -548 or -69? -69 Which is smaller: -8 or -135/16? -135/16 Is -2512 equal to -22598/9? False Are -35380 and -35390 equal? False Which is smaller: 3023 or 2864? 2864 Is -4102 bigger than -4103? True Which is smaller: -1 or -4/4299? -1 Which is bigger: 434997 or 1/3? 434997 Is -2747029/3 at least as big as -915675? False Is 1 not equal to 2/4425639? True Are -12 and 196652 nonequal? True Which is greater: -38477 or -38476? -38476 Which is bigger: -2/1721397 or 1? 1 Which is smaller: -116/41191 or -1? -1 Which is smaller: -278/5 or 0.061? -278/5 Which is smaller: -43926 or -43928? -43928 Which is greater: 0 or -4/757555? 0 Which is smaller: -2 or 203477? -2 Which is smaller: -22182 or -22188? -22188 Is -13207 less than -13224? False Is 293728 greater than or equal to 293729? False Is 53/12653 smaller than 1? True Which is greater: 463878 or 463879? 463879 Which is smaller: 326 or 464? 326 Which is greater: -42532/15 or -2834? -2834 Which is greater: 0 or -24/148169? 0 Which is greater: -0.1 or -339388? -0.1 Which is smaller: 5.34 or -6/19? -6/19 Which is smaller: -18906 or -18877? -18906 Which is smaller: 27003/5 or 5401? 27003/5 Which is smaller: -3 or -8.05? -8.05 Are 613 and 1841/3 unequal? True Which is smaller: 0.1 or 113023? 0.1 Which is bigger: -154/1219 or -1? -154/1219 Is -17032 < -17032? False Which is bigger: -2844261/4 or -711064? -711064 Which is bigger: -1 or -49/113003? -49/113003 Is 30 smaller than -31131? False Is 218 smaller than 256? True Which is bigger: -822951 or -822952? -822951 Which is smaller: 727555/4 or 181888? 181888 Which is smaller: -8905 or -8902? -8905 Is 1 greater than or equal to 17/76470? True Which is greater: -8/101 or -15? -8/101 Is 1 >= 1/154800? True Are -170 and 2138/9 nonequal? True Which is bigger: 0.462 or -1.08? 0.462 Which is smaller: 15484 or 15485? 15484 Which is bigger: 4 or 2333/832? 4 Is 1 at most as big as 3/55727? False Which is bigger: 0 or -94/605? 0 Is 19/17275 > 8? False Which is smaller: -4.7 or -0.04? -4.7 Is -0.0197 >= -0.104? True Does -9734311 = -9734310? False Is -20 at most as big as 210/53? True Which is smaller: -371585 or -371588? -371588 Do -625 and -67 have the same value? False Which is bigger: 363394/5 or 72680? 72680 Is 21/2 <= 2/13729? False Is 2371 not equal to 2363? True Is -839/200 <= -3? True Are -1/898241 and -1 equal? False Is 19014 < 19012? False Is -97843 less than -97844? False Are 1246 and 1244 unequal? True Is -2/346205 greater than -1? True Which is smaller: 168 or 22? 22 Do -70111/5 and -14022 have the same value? False Which is smaller: -20901 or -20906? -20906 Is 28 smaller than -40903? False Are 1264 and -3.4 nonequal? True Which is smaller: 14350 or 14349? 14349 Which is smaller: 0 or 2/6443? 0 Which is bigger: -1.9 or -86368? -1.9 Are -610178 and -610176 equal? False Is -1995/46 at least -43? False Are 11 and -20407 non-equal? True Is 592953 equal to 592955? False Which is greater: -11309 or -11304? -11304 Which is greater: 3708 or 9? 3708 Is 2/561607 != -1? True Which is bigger: -3999831 or -3999833? -3999831 Which is smaller: -278 or -344? -344 Is 81 at least 3299/41? True Is -941876 greater than or equal to -941873? False Which is greater: 1.174674 or 0.1? 1.174674 Which is smaller: -3221/954 or -2? -3221/954 Which is bigger: 0.10566 or 1? 1 Is 25165 >= 25164? True Is 0 >= 2/79? False Which is smaller: 0 or -3/91892? -3/91892 Which is smaller: 121213 or 121214? 121213 Is -251/1845 at most 0? True Are 0.1 and -92159.1 unequal? True Is 0.59027 bigger than 15? False Is -10205/194 < -53? False Is -4723 at most -3439? True Which is greater: 1 or -2/26581? 1 Do 147041 and 147042 have different values? True Which is smaller: 7 or 2067/347? 2067/347 Is 882 at least 1229? False Which is bigger: 60041 or 60035? 60041 Is -507 greater than or equal to 33.1? False Is 72 less than -42? False Is -7642 less than or equal to -7642? True Which is smaller: 10874 or 76128/7? 10874 Which is bigger: 6844 or 6842? 6844 Are -72826 and -72804 non-equal? True Which is smaller: -782 or -2459? -2459 Which is smaller: 102559 or 1? 1 Which is smaller: -332 or -26236/79? -26236/79 Which is smaller: -4099 or -4093? -4099 Which is smaller: -7 or -671894? -671894 Is 1 smaller than 113981? True Are
{ "pile_set_name": "DM Mathematics" }
2 + 198*h**3 + 0*h**2 + 1104. 198*h**3 - 3*h**2 - 10 Collect the terms in -152987*p + 306007*p - 153038*p. -18*p Collect the terms in 26446*p**2 - 13374*p**2 - 13045*p**2. 27*p**2 Collect the terms in 36325 - 343*v**2 - 72650 + 167*v**2 + 36325 + 174*v**2. -2*v**2 Collect the terms in 22*g**2 - 57 + 6*g**3 - 29*g**2 + 8*g**2 - 36*g**2 - 45*g**2. 6*g**3 - 80*g**2 - 57 Collect the terms in -2063*z**3 - 2877 + 2797 + 9714*z**3. 7651*z**3 - 80 Collect the terms in -750*d**2 - 279 + 476 - 197 - 2*d**3 + 750*d**2. -2*d**3 Collect the terms in 4472*s - 11 - 4461*s - 18 + 35 - 5 - 2. 11*s - 1 Collect the terms in 11*p - 22*p + 9*p - 11*p**2 + 397*p**3 + p. 397*p**3 - 11*p**2 - p Collect the terms in 0 + 1973*t - 1405*t - 5 - 1401*t + 838*t + 5. 5*t Collect the terms in 128*j + 118*j + 118*j + 82*j - 554*j + 118*j. 10*j Collect the terms in -6884805*q**3 - 6884863*q**3 + 13769631*q**3. -37*q**3 Collect the terms in -138*f - 131*f - 138*f - 140*f - 135*f - 142*f + 826*f. 2*f Collect the terms in -487918*v - 13 - 487869*v + 975805*v. 18*v - 13 Collect the terms in -7*v**2 + 154 - 7*v**2 + 60*v + 13*v**2 + 606. -v**2 + 60*v + 760 Collect the terms in -50769 + 50769 - 26210*m**3. -26210*m**3 Collect the terms in 29285*r**3 - 6 - 23286*r**3 + 6. 5999*r**3 Collect the terms in 2274*j - 458*j - 456*j - 452*j - 456*j - 451*j. j Collect the terms in 14070403*v**3 + 779708*v**3 - 2402581*v**3. 12447530*v**3 Collect the terms in -2*f - 1694 + 3453 - 1754. -2*f + 5 Collect the terms in 3*n - 950*n**3 - 1325*n**3 - n. -2275*n**3 + 2*n Collect the terms in 290 + 295 + 357 - 351*j - 1231 + 289. -351*j Collect the terms in -271 - 63768*h - 63757*h - 28 + 127523*h. -2*h - 299 Collect the terms in -165 + 46*c - 154 - 46*c + 5*c**2 + 319. 5*c**2 Collect the terms in 1408*v + 0 - 284*v - 1154*v + 0. -30*v Collect the terms in -733*d + 51*d**2 + 245*d + 245*d - 259*d**2 + 243*d. -208*d**2 Collect the terms in 0 - 28745*t + 57750*t - 2 - 1 - 28996*t. 9*t - 3 Collect the terms in -52*m**2 + 144802 - 144802 + 9*m**2 - 27*m**2. -70*m**2 Collect the terms in 5420*g**2 + 2714*g**2 + 5624*g**2. 13758*g**2 Collect the terms in w - 2*w + 8*w - 5*w. 2*w Collect the terms in -454467*i + 454467*i + 14834*i**2 - 14820*i**2. 14*i**2 Collect the terms in 4 + 34988*d**3 + 26817*d**3 - 4 + 13969*d**3. 75774*d**3 Collect the terms in 0*t**3 + 7026*t**2 - 3569*t**2 - 2*t**3 - 3847*t**2 + 4*t. -2*t**3 - 390*t**2 + 4*t Collect the terms in k**3 + 39*k**2 - 90*k**2 + 155 + 123 + k**3 + 49*k**2. 2*k**3 - 2*k**2 + 278 Collect the terms in 3*y + 2*y**2 - 70209815 - 3*y + 70209815. 2*y**2 Collect the terms in -190*l**3 + 193*l**3 + 116843*l - 58545*l - 58298*l. 3*l**3 Collect the terms in -31022*m**3 - 3837*m + 62050*m**3 + 3837*m - 31024*m**3. 4*m**3 Collect the terms in 7927*q**2 + 7830*q**2 - 15762*q**2. -5*q**2 Collect the terms in -2583911917296 - 43*g**2 + 2583911917296. -43*g**2 Collect the terms in -402 + 1216 - 402 + 3124*n**2 - 412. 3124*n**2 Collect the terms in -31828 - 2*f**2 + 31834 - 6*f - 139*f. -2*f**2 - 145*f + 6 Collect the terms in -5*n**2 - n**2 - 1120922*n**3 + 6*n**2. -1120922*n**3 Collect the terms in 73*b + 193*b**3 - 764 - 73*b - 190*b**3 + 42. 3*b**3 - 722 Collect the terms in 1351 - 2*l + 1342 + 1388 + 1332 + 1371 + 1382 - 8246. -2*l - 80 Collect the terms in -25*k + 6*k**3 + 88*k**2 + 20*k + 4 - 3. 6*k**3 + 88*k**2 - 5*k + 1 Collect the terms in -90*w + 253 + 46*w - 526 + 227 + 42*w. -2*w - 46 Collect the terms in 28653*o + 28650*o - 3 - 57303*o - 5*o**2 + 3. -5*o**2 Collect the terms in 601 + 122*r - 231*r + 92*r. -17*r + 601 Collect the terms in 121040*c**2 - 121040*c**2 - 1024*c**3. -1024*c**3 Collect the terms in 116*h + 40*h + 48*h + 11*h**2 - 2. 11*h**2 + 204*h - 2 Collect the terms in 127*k**3 + 414*k**3 - 133*k**3 - 7412*k + 7412*k. 408*k**3 Collect the terms in -955*t**2 + 2419*t**2 - 1909*t**2. -445*t**2 Collect the terms in 33 + 36 - 8*b + 2 + 10 - 15. -8*b + 66 Collect the terms in -1025*w**3 + w + 5235*w**3 + 1103*w**2 - 1 - 1103*w**2. 4210*w**3 + w - 1 Collect the terms in -7*b - 621399 - 577272 - 56382. -7*b - 1255053 Collect the terms in -16058*b + 3 + 104*b - 3 - 900*b. -16854*b Collect the terms in 316 + 66*t - 193*t - 316 + 54*t + 64*t. -9*t Collect the terms in 5503*g**2 + 62317 - 1667*g**2
{ "pile_set_name": "DM Mathematics" }
156*g**2 + 7*g + 37. Let y(s) = -s**2 - s - 2. Let k(f) = -2*i(f) - 14*y(f). Differentiate k(u) with respect to u. -596*u Let d(j) = -12*j**4 - 4*j**3 + 3*j - 21. Let z(c) = -11*c**4 - 5*c**3 + 4*c - 21. Let a(n) = 3*d(n) - 2*z(n). What is the second derivative of a(m) wrt m? -168*m**2 - 12*m Find the third derivative of 22*p**6 - 24 + 20 - 139*p**6 + 0*p**2 - 3*p**2 wrt p. -14040*p**3 Let g(n) be the first derivative of 3*n**2 - 26*n + 8. Differentiate g(r) with respect to r. 6 What is the third derivative of 32*u**2 - 22 - 31*u**2 - 4 - 94*u**5 wrt u? -5640*u**2 Let p(z) be the second derivative of -3*z**5/20 - z**4/2 - 164*z**3/3 + 186*z. Find the second derivative of p(f) wrt f. -18*f - 12 Let p(a) be the first derivative of -a**7/35 - 5*a**4/12 + 7*a**2/2 + 4. Let t(x) be the second derivative of p(x). Find the second derivative of t(d) wrt d. -72*d**2 Let i be (6/8)/(45/240). What is the second derivative of -8*v**3 + 7*v + 8*v**3 + i*v**5 + 5*v**5 wrt v? 180*v**3 Find the first derivative of -5*t**4 - 66*t - 118 + 44*t**2 + t**4 + 53*t**2 - 97*t**2 wrt t. -16*t**3 - 66 Let y(u) be the first derivative of 29*u**6/6 - 29*u**2/2 + 72. What is the second derivative of y(s) wrt s? 580*s**3 What is the derivative of 22*w**4 + 29*w**4 - 5*w**4 - 105 - 5*w**4 wrt w? 164*w**3 What is the first derivative of 12*j + 50 + 12 + 0*j - 2*j wrt j? 10 Let u(q) = -q**2 + q + 1. Let y(w) = w**4 - 81*w**2 - 6*w - 336. Let b(g) = -6*u(g) - y(g). Differentiate b(k) with respect to k. -4*k**3 + 174*k Let b(s) be the second derivative of 0 + 1/14*s**7 + 12*s + 7*s**3 + 0*s**6 + 0*s**5 + 0*s**2 + 0*s**4. Find the second derivative of b(l) wrt l. 60*l**3 Let m be 1 + 3 - (1 + 0). Let t(x) = x**2 - 2*x + 3. Let o be t(3). What is the derivative of o*s**4 + 7 - 106*s**m + 106*s**3 wrt s? 24*s**3 Suppose -6*g - 26 = 10. Let n be (-104)/(-12)*(-9)/g. What is the second derivative of 3*i**3 - 8 - 8*i + 8 - n*i**3 wrt i? -60*i What is the third derivative of 11 - 40*v**3 + 158*v**3 - 10*v**2 - 10 + 77*v**3 wrt v? 1170 What is the second derivative of 83*h + 225*h**5 - 357*h**4 + 708*h**4 + 31*h - 350*h**4 wrt h? 4500*h**3 + 12*h**2 Let d(g) be the third derivative of 0*g**6 + 1/8*g**4 - 14*g**2 + 0*g + 0*g**7 - 19/336*g**8 + 0 + 0*g**3 + 0*g**5. What is the second derivative of d(n) wrt n? -380*n**3 Let n be (-1 - (0 - 1)) + -1. Let f = n + 5. Find the second derivative of -5*t**2 + 0*t**2 + 5*t + 0*t + f*t**2 wrt t. -2 Let n(v) = -4*v**3 - 49*v**2 - 12*v + 225. Let r(l) = 2*l**3 + 48*l**2 + 9*l - 224. Let y(i) = -3*n(i) - 4*r(i). What is the derivative of y(a) wrt a? 12*a**2 - 90*a Let x(u) be the first derivative of 88*u**3/3 - u**2 - 22*u + 121. What is the second derivative of x(b) wrt b? 176 Let z(t) be the first derivative of 221*t**4/4 + 203*t + 391. Differentiate z(i) with respect to i. 663*i**2 Let q(s) be the second derivative of 149*s**5/20 + 9*s**3 + s**2 - 172*s - 2. What is the second derivative of q(i) wrt i? 894*i Let a = -175 + 175. Let q(i) be the second derivative of -2*i**2 + 0*i**3 + 1/5*i**5 + 2*i + 0 + a*i**4. Find the first derivative of q(d) wrt d. 12*d**2 Let j(q) = -155*q - 251. Let l(w) = 155*w + 249. Let y(h) = -4*j(h) - 3*l(h). What is the first derivative of y(u) wrt u? 155 What is the second derivative of 1 - 207*w**2 + 84*w**2 - 29*w + 1 - 28*w wrt w? -246 Let k(q) be the third derivative of 149*q**7/210 - 113*q**3/6 + 75*q**2 + 2*q. What is the derivative of k(y) wrt y? 596*y**3 Let h(j) be the third derivative of 0*j**7 + 0*j + 31/24*j**4 + 0*j**6 + 0*j**5 + 0 - 38*j**2 + 0*j**3 + 37/336*j**8. Find the second derivative of h(a) wrt a. 740*a**3 What is the derivative of 246*i + 89*i + 2169 - 2447 + 21*i wrt i? 356 What is the derivative of 73*d + 39*d + 67 + 151*d + 879 - 153 wrt d? 263 What is the first derivative of -8*j**4 - 960*j**3 + 960*j**3 - 67 wrt j? -32*j**3 Let x(m) be the first derivative of 0*m**3 - 2/5*m**5 - 18 + 10*m + 0*m**2 + 0*m**4. Differentiate x(u) wrt u. -8*u**3 Suppose -5*y - b = -45, 4*y - 2*b = -4*b + 42. What is the derivative of 3*z**2 - 3*z**2 - 13*z**3 + 24 - y wrt z? -39*z**2 What is the second derivative of -103*y**3 + 747*y - 137*y + 9 - 9 wrt y? -618*y Let f(k) = 2*k + 1. Suppose 9*a = 5*a - 4. Let c(b) = -14*b + 48. Let l(j) = a*c(j) - 4*f(j). What is the first derivative of l(x) wrt x? 6 Let v(n) = 2*n**3 - n. Let u(z) = -2*z**4 + 12*z**3 - 22*z**2 - 7*z - 51. Let s(w) = -u(w) +
{ "pile_set_name": "DM Mathematics" }
rt(325)). -1 Simplify (sqrt(48) + (sqrt(48) - sqrt(5808)))**2 + -1. 3887 Simplify ((-4*2*sqrt(99))/((sqrt(9) + sqrt(36)/sqrt(4))*2))**2. 44 Simplify (2 + sqrt(12)/sqrt(4) + sqrt(192) + sqrt(192)*2)**2. 100*sqrt(3) + 1879 Simplify ((2*sqrt(136)*5)/sqrt(8))**2. 1700 Simplify ((sqrt(153)*1*6 - sqrt(153)) + sqrt(153))/(sqrt(729)*-2 + sqrt(729)). -2*sqrt(17)/3 Simplify (sqrt(24)/sqrt(16))/sqrt(2). sqrt(3)/2 Simplify (sqrt(500)*2 + -3)**2 + (sqrt(500) - (1 + sqrt(500)))**2 + sqrt(500) + 1. -110*sqrt(5) + 2011 Simplify (sqrt(132) - (sqrt(132)*1 + sqrt(132) + sqrt(132)))/sqrt(12) - sqrt(11) - (4 + sqrt(176)). -7*sqrt(11) - 4 Simplify (sqrt(75)*-1)**2 + -6*(sqrt(9)/sqrt(3))**2. 57 Simplify 4*(4*(sqrt(2448) + -1 + sqrt(2448)))**2*-3. -1880256 + 9216*sqrt(17) Simplify sqrt(68)/sqrt(4) + -3 - -3*(sqrt(34)/sqrt(2))**2. sqrt(17) + 48 Simplify 2*((sqrt(33) - (sqrt(132) + sqrt(33)))/sqrt(3) - -1*sqrt(11)*4)**2. 88 Simplify -1 + (sqrt(252)*-1*2)**2. 1007 Simplify -5 + (1 + sqrt(171))**2 + 0. 6*sqrt(19) + 167 Simplify ((3 + (sqrt(72) - 3*sqrt(72)) - sqrt(72))*2)**2. -432*sqrt(2) + 2628 Simplify (sqrt(1377) + sqrt(1377) + 2 + 1 + sqrt(1377))**2. 162*sqrt(17) + 12402 Simplify (sqrt(768)/sqrt(12))/(sqrt(2) + -2*-2*sqrt(2)). 4*sqrt(2)/5 Simplify -5 + (sqrt(1872) + -3)**2 + 4. -72*sqrt(13) + 1880 Simplify ((-3*-2*sqrt(60))/sqrt(2352))**2. 45/49 Simplify sqrt(40)/(sqrt(1152) - (sqrt(1152)*-3 - sqrt(1152))) + 3. sqrt(5)/60 + 3 Simplify 5*(sqrt(68) + -5). -25 + 10*sqrt(17) Simplify 1*sqrt(125)*-3 + 4 + sqrt(125) + -1. -10*sqrt(5) + 3 Simplify ((sqrt(495)*1 - sqrt(55))/(sqrt(66)/(sqrt(6)*-2)))**2*-6. -480 Simplify (sqrt(7) + sqrt(14)/sqrt(2) + 0 - sqrt(7)*1*5)*-2. 6*sqrt(7) Simplify (-1*sqrt(99)*-3)/((sqrt(54)*2)/sqrt(6) - sqrt(9)). 3*sqrt(11) Simplify (-3*-2*sqrt(119) + sqrt(119))/(4*-2*sqrt(7)). -7*sqrt(17)/8 Simplify (sqrt(17) + 2 + -4)*4. -8 + 4*sqrt(17) Simplify 4 + sqrt(891) + 0. 4 + 9*sqrt(11) Simplify (sqrt(2057) + -3 + 1 + sqrt(2057))**2 + (sqrt(2057)*2)**2*-1. -88*sqrt(17) + 4 Simplify -5*(sqrt(2448) + 2)*2. -120*sqrt(17) - 20 Simplify (3*(sqrt(432) + (sqrt(432) - ((sqrt(432)*-2 - sqrt(432)) + sqrt(432)))))**2. 62208 Simplify ((-1*sqrt(84) - sqrt(84))*-1 - sqrt(84))/(sqrt(300)*-3). -sqrt(7)/15 Simplify (5*(-1*sqrt(110) + sqrt(110)) + sqrt(110))/(sqrt(160) - (sqrt(160) + (sqrt(160) - (sqrt(160) + (sqrt(160) - sqrt(160)*-3))) - sqrt(160))). sqrt(11)/20 Simplify sqrt(208) + (sqrt(208) + -1)*3 + -2 + (-1*sqrt(208))**2. 16*sqrt(13) + 203 Simplify 2 + sqrt(288) + -2 + -1. -1 + 12*sqrt(2) Simplify -6*((sqrt(612) + sqrt(612)*3 + sqrt(612))**2 + sqrt(17) + sqrt(17)). -91800 - 12*sqrt(17) Simplify sqrt(200)/sqrt(4)*-3. -15*sqrt(2) Simplify (3*(-2*(sqrt(228) - -1*sqrt(228)))/(-5*(sqrt(12) + sqrt(48)) + sqrt(12)))**2. 684/49 Simplify (2 + sqrt(1573) - sqrt(1573))**2 + 3. 7 Simplify ((sqrt(168)/sqrt(4))/sqrt(6) - (sqrt(448) + 0)**2)*-4. -4*sqrt(7) + 1792 Simplify sqrt(22)/(-6*sqrt(8)). -sqrt(11)/12 Simplify (2 + (sqrt(30)/(sqrt(24)/sqrt(4)))**2)*-6. -42 Simplify (((sqrt(7) + 1 + sqrt(7))*4 + 3 + -4)*-6)**2. 1728*sqrt(7) + 16452 Simplify sqrt(8) + -4 + sqrt(2) - (sqrt(2) - -2*sqrt(2))*1. -4 Simplify (((sqrt(5) - (((sqrt(5) - sqrt(5)*-1) + -1 - sqrt(5)) + sqrt(5))) + sqrt(5))*-2)**2. 4 Simplify 3 + 1 + sqrt(3) + sqrt(3) + 2 + (sqrt(3) - sqrt(144)/sqrt(3))**2. 2*sqrt(3) + 33 Simplify -2 + sqrt(1053)*-2 - (sqrt(117)/sqrt(81) + 0). -55*sqrt(13)/3 - 2 Simplify (4 + -3 + sqrt(26)/sqrt(8))*-1. -sqrt(13)/2 - 1 Simplify (sqrt(272) + -5)*-5. -20*sqrt(17) + 25 Simplify (-4 + ((sqrt(168)/sqrt(4))/sqrt(6) - (sqrt(28) + 4)))**2. 16*sqrt(7) + 71 Simplify (2*sqrt(204))/(sqrt(27)*-1). -4*sqrt(17)/3 Simplify (-1*-1*sqrt(612))**2 + sqrt(612)*-2*3. -36*sqrt(17) + 612 Simplify -5 + 3 + sqrt(2) - (sqrt(2) - -4*sqrt(128)). -32*sqrt(2) - 2 Simplify ((sqrt(3) + 2)*2)**2 - (1*sqrt(18))/sqrt(6). 15*sqrt(3) + 28 Simplify 5*5*sqrt(72)/sqrt(4). 75*sqrt(2) Simplify sqrt(320) + (6*(sqrt(320) - (sqrt(320) + (sqrt(320)*3 - sqrt(320))))**2 - sqrt(320)). 7680 Simplify (sqrt(35)/sqrt(448) + 4)*5. 5*sqrt(5)/8 + 20 Simplify -1 + sqrt(17) + sqrt(272) + 4. 3 + 5*sqrt(17) Simplify ((5*sqrt(196))/(1*sqrt(1008) + sqrt(1008)))**2. 175/144 Simplify ((sqrt(117) + -1 - sqrt(117)) + (2*sqrt(65))/sqrt(5))**2. -4*sqrt(13) + 53 Simplify ((((sqrt(133) - sqrt(133)*2) + sqrt(133))*4)/(sqrt(700)*-2 - sqrt(7)))**2. 0 Simplify (-2*(sqrt(130)*-2 + sqrt(130) + sqrt(130)))/(sqrt(90) + sqrt(90)*2 + sqrt(90)). 0 Simplify (sqrt(720) + -2)**2 + (1 + sqrt(5))**2*3. -42*sqrt(5) +
{ "pile_set_name": "DM Mathematics" }
22*i**3 + 18*i**2 - 4 - 2*i - 10*i**p + 6*i**4 = 0. What is i? -1/3, 1, 2 Let u(o) be the third derivative of o**7/6300 - o**6/600 + o**5/150 - o**4/24 + o**2. Let b(s) be the second derivative of u(s). Factor b(d). 2*(d - 2)*(d - 1)/5 Solve 0 + 4/9*w**2 + 8/9*w**3 - 4/9*w**4 - 8/9*w = 0 for w. -1, 0, 1, 2 Let f(a) = a - 4. Let z be f(6). Factor 5*y**3 + 2*y**z + 12 + 8*y**2 - 2*y**3 - 19*y**2. 3*(y - 2)**2*(y + 1) Let u(j) be the second derivative of j**7/21 - j**6/5 + j**5/10 + j**4/2 - 2*j**3/3 - 20*j. Let u(y) = 0. What is y? -1, 0, 1, 2 Let 2/11*z**5 - 4/11*z**3 + 0*z**4 + 0*z**2 + 2/11*z + 0 = 0. What is z? -1, 0, 1 Suppose -2*n + 1 = -m - 0*n, -2*m = 4*n - 38. Let c = m + -6. Factor u**c - 19*u**2 + u**4 + 19*u**2. u**3*(u + 1) Let a be (-81)/6*(-14)/105. Factor 3/5*g**5 + 12/5*g - 12/5*g**2 - a*g**3 + 0 + 6/5*g**4. 3*g*(g - 1)**2*(g + 2)**2/5 Let w(y) be the first derivative of 9*y**5/5 - 5*y**4 + 13*y**3/3 - y**2 - 20. Factor w(k). k*(k - 1)**2*(9*k - 2) Let i(x) = 10*x - 66. Let a be i(7). Factor 0*b + 3/4*b**5 + 0 - 3/4*b**2 + 3/4*b**a - 3/4*b**3. 3*b**2*(b - 1)*(b + 1)**2/4 Let c(h) be the third derivative of -h**5/120 + 5*h**4/96 - 3*h**2. Factor c(o). -o*(2*o - 5)/4 Factor -4 + 5*a + 30*a**4 - 26*a**4 + 3*a - 2*a**3 - 6*a**3. 4*(a - 1)**3*(a + 1) Let n(c) be the third derivative of c**8/168 - 2*c**7/105 + c**6/60 - 2*c**2. Suppose n(b) = 0. Calculate b. 0, 1 Find u such that 2/5*u**3 + 24/5*u**2 - 32/5 + 8/5*u - 2/5*u**4 = 0. -2, 1, 4 Let j(f) be the first derivative of f**3/9 - 2*f**2/3 + 4*f/3 - 24. Suppose j(p) = 0. What is p? 2 Let q(t) be the first derivative of -2/15*t**3 + 2/5*t**2 + 2 - 2/5*t. Factor q(n). -2*(n - 1)**2/5 Solve -36/5 - 13/5*j**2 + 42/5*j**3 - 9/5*j**4 - 84/5*j = 0. -2/3, 3 Let u(o) = o**2 - 6*o - 7. Let b be u(7). Let s be b*(9/6 - 1). Determine x so that s*x**3 - 1/4*x**4 + 0*x + 1/4*x**2 + 0 = 0. -1, 0, 1 Factor 0*o**4 + 0 - 1/3*o**3 + 0*o**2 + 0*o + 1/3*o**5. o**3*(o - 1)*(o + 1)/3 Let g be (-16)/3 + (-4 - -6). Let i = -3 - g. Suppose i*o**2 + 0 + 1/3*o = 0. What is o? -1, 0 Suppose 0*j + 4*j = 8. Suppose -9 = -y - p, 2*y - 1 = 2*p + 1. Factor j*i**y + 3*i - i + i**3 - 5*i**3. 2*i*(i - 1)**2*(i + 1)**2 Suppose -3*n - 162 = 27. Let x be ((-180)/n)/(2/7). Factor o**2 - o**3 + 10 - x. -o**2*(o - 1) Let r(x) = 6*x**5 - 3*x**4 + x**3. Let w(m) = -m**4 + m**3. Let v(j) = -r(j) + 5*w(j). Factor v(h). -2*h**3*(h + 1)*(3*h - 2) Let k = 21 + -21. Determine m so that 0 + 0*m**2 + 0*m + k*m**3 - 2/7*m**5 + 2/7*m**4 = 0. 0, 1 Let k(m) be the third derivative of 1/175*m**7 + m**2 + 0*m**4 + 0*m**3 + 1/300*m**6 + 0*m + 0*m**5 + 0. Let k(r) = 0. Calculate r. -1/3, 0 Let w(h) = 6*h + 2*h**3 - 6*h**3 + 4*h - 5 - 2*h**2 - 4*h. Let k(z) = z**3 - z + 1. Let u(i) = 5*k(i) + w(i). Factor u(n). n*(n - 1)**2 Let p = -163133/5 - -32731. Let c = p - 104. Solve -6/5*h + c - 8/5*h**2 = 0. -1, 1/4 Let c = 4/35 - -27/70. Suppose 0*z**2 - 3/4*z + c + 1/4*z**3 = 0. Calculate z. -2, 1 Factor -4/5*b**2 + 64/5 + 24/5*b. -4*(b - 8)*(b + 2)/5 Let u(q) be the second derivative of -q**6/30 - 3*q**5/10 - 13*q**4/12 - 2*q**3 - 2*q**2 - q. Factor u(w). -(w + 1)**2*(w + 2)**2 Let a be (2/3)/((-2)/(-6)). Determine b so that 2*b - 4 + 0*b**2 + 5*b - b - 2*b**a = 0. 1, 2 Let n(h) be the second derivative of -h**6/210 + h**5/140 + h**4/84 - h**3/42 - 4*h. Factor n(l). -l*(l - 1)**2*(l + 1)/7 Let g(p) be the first derivative of p + 4 - 4/3*p**3 - 3/2*p**2. Solve g(l) = 0. -1, 1/4 Let z(t) be the second derivative of 1/72*t**4 + 0 + 1/36*t**3 + 0*t**2 - t. Suppose z(g) = 0. What is g? -1, 0 Suppose 0 = -2*q - 8 - 28. Let i be 4/q + 39/54. Solve -1/2*s**3 + 1/2*s**5 + 0 + 1/2*s**2 + 0*s - i*s**4 = 0 for s. -1, 0, 1 Suppose -100 = -8*c - 17*c. Factor 1/5*p + 0*p**2 + 0 + 0*p**
{ "pile_set_name": "DM Mathematics" }
he derivative of -2 - 7*z**p + 2*z**2 - 10 wrt z? -10*z What is the derivative of -150*d + 24 - 63 + 9*d - 70 - 41 wrt d? -141 Let s(z) = z - 5. Let o be s(11). Let l = 21 - o. Find the third derivative of -4*w**2 + 6*w**2 + l*w**3 - 10*w**3 wrt w. 30 Let p(f) be the third derivative of -f**6/120 - 49*f**4/24 + 499*f**3/6 + 10*f**2 + 5*f. What is the derivative of p(x) wrt x? -3*x**2 - 49 Let o(w) = 52*w - 104. Let r(l) = -l + 5. Let m(v) = o(v) + 6*r(v). Differentiate m(y) with respect to y. 46 Let t(z) = 5*z**4 + 12*z**2 + 9*z - 4. Let q(u) = -3*u**4 - u**2 - u + 1. Let a(j) = -4*q(j) - t(j). What is the third derivative of a(n) wrt n? 168*n What is the second derivative of 129*w + 69*w**2 + 24*w - 115*w - w**3 - 412*w wrt w? -6*w + 138 Let c(k) = -332*k**3 - 10*k**2 + 2*k - 735. Let s(g) = -1992*g**3 - 66*g**2 + 13*g - 4411. Let t(j) = 13*c(j) - 2*s(j). Find the third derivative of t(d) wrt d. -1992 What is the second derivative of -83*a**3 + 780*a - 22*a**3 - 45*a**3 + 16*a**3 - 39*a**3 wrt a? -1038*a Let o(i) = -i**2 - 1. Suppose -23 = -3*q - 8. Let k(z) = -8*z**2 + 0 - 8 - 1. Let x(f) = q*o(f) - k(f). Differentiate x(d) wrt d. 6*d Let g(w) be the first derivative of -10*w**4 + w**3 + 147*w**2 - 206. Find the second derivative of g(t) wrt t. -240*t + 6 Differentiate 4690*g**4 - 4804*g**4 - 11*g + 11*g - 347 wrt g. -456*g**3 Suppose -5*y - 3*p = -25, -3*p = -p. What is the third derivative of 61*q**y - 61*q**5 - 13*q**6 + 7*q**2 wrt q? -1560*q**3 Let g(y) = y**3 - y**2 - 3*y. Let p(w) = 100*w**3 + 3*w**2 + 9*w + 620. Let n(o) = 3*g(o) + p(o). Find the first derivative of n(h) wrt h. 309*h**2 Suppose -5*j - 30 = -11*j. Find the second derivative of 9 + 12*u - 19*u**j - 30*u**5 - 10 + u wrt u. -980*u**3 Let b(o) be the third derivative of -173*o**9/504 + o**5/10 - 5*o**4/24 - 346*o**2. What is the third derivative of b(y) wrt y? -20760*y**3 Let v(m) be the first derivative of 7*m**3/3 + 33*m**2/2 - 17. Let y(l) = -7*l**2 - 34*l. Let t(q) = -3*v(q) - 2*y(q). Find the second derivative of t(c) wrt c. -14 Suppose -3*h + 4*h - 2 = 0. Find the second derivative of -357 - 3*u + 357 - 10*u**h wrt u. -20 Suppose 3*r = -9 + 18. Find the third derivative of -6*i**2 + i**2 - 28*i**3 - 7*i**r - 4*i**2 wrt i. -210 Let g(p) = -419*p - 79. Let l(i) = 4*i + 2. Let k(b) = 2*g(b) - 2*l(b). Find the first derivative of k(y) wrt y. -846 Let g(a) = -2*a + 15. Let r(n) = 5*n - 29. Let d(x) = -5*g(x) - 3*r(x). Find the first derivative of d(c) wrt c. -5 Let f(c) be the first derivative of 5*c**6 + c**3/3 + 109*c**2/2 + 39. What is the second derivative of f(g) wrt g? 600*g**3 + 2 Suppose -9*p + 6*p = 2*p. Let a(y) be the second derivative of 0*y**3 - 4*y + 3/20*y**5 + 1/4*y**4 + 0*y**2 + p. Find the third derivative of a(m) wrt m. 18 Let q(y) be the first derivative of 2*y**3 + 7*y**2 - 12. Let v(u) = -6*u**2 - 14*u. Let d(x) = -2*q(x) - 3*v(x). What is the second derivative of d(m) wrt m? 12 Differentiate -351 - 951*f**4 - 426 + 40 + 90*f**4 wrt f. -3444*f**3 Suppose -2*k - 2*j = -6*j, k = 5*j - 6. What is the second derivative of 4*m**k + 11*m - 2*m**4 - 16*m wrt m? 24*m**2 What is the third derivative of 31*f**4 - 4*f**4 + 13*f**4 + 3 + 37*f**4 - 2*f**2 + 3*f**4 wrt f? 1920*f Let o(m) be the second derivative of 11*m**7/2520 - m**5/120 - m**4/12 + m. Let y(q) be the third derivative of o(q). What is the derivative of y(k) wrt k? 22*k Let a(i) = 345*i**3 + 5*i**2 + 63*i. Let s(u) = -u**3 + 2*u**2 + 2*u. Let l(y) = -a(y) + 2*s(y). Find the third derivative of l(p) wrt p. -2082 Let f(l) = 226*l**3 - 123*l**2 - 6. Let a(y) = 677*y**3 - 369*y**2 - 16. Let b(u) = 3*a(u) - 8*f(u). Find the third derivative of b(q) wrt q. 1338 What is the derivative of 56*p**3 + 9*p**3 - 2*p**2 + 184 + 47*p**3 - 163 wrt p? 336*p**2 - 4*p Suppose -56*d = -51*d - 120. Find the second derivative of -24*y**4 + y**2 + d*y + 67*y**4 - y**2 wrt y. 516*y**2 Differentiate 421 - 4415*q + 2207*q + 2208*q + 5*q**4 + 335*q**4 with respect to q. 1360*q**3 Find the second derivative of 46*a**2 + 8*a + a - 17*a wrt a. 92 Let u(n) be the third derivative of -1/112*n**8 + 0*n**4 + 0*n**6 + 0*n**3 + 19*n**2 + 0 + 0*n**7 + 0*n + 1/15*n**5. What is the third derivative of u(m) wrt m? -180*m**2 Suppose 0 = -5*p - 3*v - 56, 2*p + 3*v + 41 - 15 = 0. Let m be (-2)/p - 348/(-60). Find the second
{ "pile_set_name": "DM Mathematics" }
be the third derivative of 0*w + 0*w**5 - 47/3*w**3 + 0 - 43/40*w**6 + 140*w**2 + 0*w**4. What is the derivative of i(y) wrt y? -387*y**2 What is the third derivative of 1211*w**3 + 2149*w**2 + 28*w + 316*w**2 - 28*w wrt w? 7266 Suppose -12 = -3*i + y, -i + 1 = 3*y - 13. What is the third derivative of -254*q**3 - q**5 - q**i + 0*q**2 - 3 + 10*q**2 + 252*q**3 wrt q? -120*q**2 - 12 Let h(l) be the second derivative of -232*l**5/5 + 351*l**2/2 - 32*l. Find the first derivative of h(y) wrt y. -2784*y**2 Let k(r) be the second derivative of 0*r**3 + 0*r**4 + 0*r**5 + 87/2*r**2 - 194*r + 0 - 161/30*r**6. Find the first derivative of k(p) wrt p. -644*p**3 Let m(i) be the third derivative of -61/60*i**6 + 0*i**4 - 28*i + 3*i**2 + 0 + 0*i**3 - 73/30*i**5. Find the third derivative of m(u) wrt u. -732 Let k be -12 + 22 + -2 + 0 + -1. Find the third derivative of k*f**2 + 291 + 17*f**3 - 284 + 12*f**3 + 17*f**3 wrt f. 276 Let j(y) be the first derivative of 2182*y**3/3 - 3336*y**2 + 6114. Find the second derivative of j(v) wrt v. 4364 Let g(h) = 28*h**3 - 91*h**2 - 3417*h - 7. Let f(q) = 23*q**3 - 46*q**2 - 1709*q - 4. Let w(v) = -11*f(v) + 6*g(v). Find the second derivative of w(u) wrt u. -510*u - 80 What is the second derivative of 1002*i**4 + 560*i**4 + 0*i + 315 + 4*i - 2*i**2 - 5*i + 3*i wrt i? 18744*i**2 - 4 Let w(s) = -27*s**3 - 10*s**2 + 1616*s + 10. Let h(d) = 14*d**3 + 5*d**2 - 809*d - 6. Let t(r) = -5*h(r) - 3*w(r). What is the second derivative of t(c) wrt c? 66*c + 10 Let j(k) = -k - 6. Let d be j(-10). Suppose 36*c - 5*l - 7 = 40*c, 0 = 5*c + 3*l - 1. What is the first derivative of 12 - 508*g**2 - d + 492*g**c wrt g? -32*g Let u(w) = -w + 19. Let b be u(24). Let g(a) = a**2 + 9*a + 21. Let k be g(b). What is the first derivative of 2*m + k - 32*m + 11 wrt m? -30 Let r(o) = -o**3 - 4*o**2 - o + 10. Let x be r(-3). Let y(m) = 6*m - 4. Let d be y(1). Find the third derivative of 14*u**x + 8*u**2 + 5*u**d + 6*u**4 wrt u. 480*u Let h(u) = -22*u**2 + 2*u. Let z(b) = 4214*b**2 + 22*b + 5178. Let r(o) = 22*h(o) - 2*z(o). Find the first derivative of r(k) wrt k. -17824*k Let t(d) = -d**3 + 6*d**2 - 10*d + 18. Let r be t(4). Differentiate -l**3 + 144 + r*l**3 - 47*l + 44*l with respect to l. 27*l**2 - 3 Let y(d) = -5*d**4 + 4*d**3 + 160*d**2 - 365. Let j(o) = -12*o**4 + 9*o**3 + 316*o**2 - 730. Let u(f) = 4*j(f) - 9*y(f). What is the derivative of u(w) wrt w? -12*w**3 - 352*w Let f(m) = m**2 - 5*m + 7. Let z be f(4). What is the derivative of -k + k - 17*k**z - 4*k**3 + 197 - 8*k**3 wrt k? -87*k**2 Find the second derivative of -5535*l**4 + 15708*l**4 + 2*l**2 - 2*l**2 - 67129*l + 66277*l wrt l. 122076*l**2 Find the second derivative of 12609*u + 5004*u**4 + 2*u**2 - 2*u**5 - 3207*u - 2391*u wrt u. -40*u**3 + 60048*u**2 + 4 Let v(w) be the third derivative of 0*w**5 + 193*w**2 + 37/30*w**6 + 35/6*w**4 + 0 + 0*w**3 + 0*w. What is the second derivative of v(k) wrt k? 888*k Let f(b) = -2032*b**2 + 126*b - 416. Let x(z) = 4063*z**2 - 273*z + 833. Let h(l) = 13*f(l) + 6*x(l). What is the derivative of h(i) wrt i? -4076*i Differentiate -77*p - 40*p**3 + 39*p**3 + 382*p + 1712*p - 2696 wrt p. -3*p**2 + 2017 What is the third derivative of 39*u - 243*u**5 + 2 + 4*u**3 - 39*u + 318*u**5 - 367*u**2 wrt u? 4500*u**2 + 24 Find the second derivative of -16*d + 4*d**3 + 4076 - 10*d**4 + 5*d - 4083 wrt d. -120*d**2 + 24*d Differentiate 56*s + 459*s**2 - 227*s**2 + 286 - 233*s**2 wrt s. -2*s + 56 Let m = 413 - 318. What is the third derivative of m + 23*c**2 - 189*c**2 + 13*c**3 + 93 - 188 wrt c? 78 Let q(m) = -m**3 - 8*m**2 - 10*m - 20. Let t be q(-6). Let g = 50 + t. Find the second derivative of -13*w + 4*w - g*w + 3*w + 13*w**3 wrt w. 78*w What is the derivative of 2435 - 659 + 2940 - f + 19*f + f**2 - 299 wrt f? 2*f + 18 Find the second derivative of 137 + 4328*p**2 - 4328*p**2 + 227*p**3 - 7*p - 3304*p**3 wrt p. -18462*p Let u be 36 + (2 - 2)*(-1)/2. Let o = 41 - u. Find the first derivative of 14 + 25*f**4 - 5*f**2 + o*f**2 - 36 wrt f. 100*f**3 Let j = 39701/10 - 3970. Let f(h) be the third derivative of -2/3*h**3 - j*h**6 + 6*h**2 + 0*h**5 + 0 + 0*h**4 + 0*h. Differentiate f(s) with respect to s. -36*s**2 Let o(h) be the second derivative of -449*h**4/6 + 683*h**3/6 - 847*h. What is the second derivative of o(m) wrt m? -1796 Let j = -88 +
{ "pile_set_name": "DM Mathematics" }
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False Is 148360826 a prime number? False Is 5129863 a prime number? True Is 776659 a prime number? False Is 11727622 composite? True Is 7576033 a prime number? False Is 69092153 composite?
{ "pile_set_name": "DM Mathematics" }
- 6, -2*a - w*m + 16 = 0. Solve 0 = -a*y + 6 + 4 for y. 5 Let p = -19940 - -20024. Solve 2072*i - 2058*i = p for i. 6 Let g = 0 - -4. Suppose -13*n + 60 = -7*n. Let x be (3/(n - 1))/(7/63). Solve f - x*f = g for f. -2 Let f(g) = g**3 + 38*g**2 + 37*g + 88. Let i be f(-37). Solve i = 7*y + 74 for y. 2 Let k(p) = p**2 + 11*p + 20. Let x be k(-16). Solve 10*y + 10*y = x for y. 5 Let w = 4447 + -4429. Solve w*u + 2*u = 100 for u. 5 Let f be (-20 - -4) + 39 - -26. Solve -150 = f*q + 46 for q. -4 Suppose -3*a + 4*b = a - 20, -5*b - 15 = -3*a. Suppose -4*v + 2*l = -16, a*v + 4 + 2 = -4*l. Suppose v*p = -p + 4*p. Solve h - 6*h = p for h. 0 Let a be 6/2*(-123)/(-9). Suppose -2*o = 5*c - o - 37, -5*c - 3*o + a = 0. Suppose 9*x = c*x. Solve -2*z = -x*z - 2 for z. 1 Suppose 3*v - 4*v + 163 = 108. Solve 0 = -63*g + v*g - 48 for g. -6 Let z be 6 + -6*2/4. Let t = -21 - -55. Suppose -18*i = -i - t. Solve i*q - z = -13 for q. -5 Let u(c) = -1134*c - 9033. Let m be u(-8). Solve 19*p + m = 58*p for p. 1 Let p = -76 - -393. Let j = -312 + p. Solve y + 2 = j for y. 3 Let q(g) = g + 19. Let b be q(-16). Suppose 4*f = 3*j + 2*j - 90, b*f - 81 = -3*j. Let l be ((-24)/(-30) - j/(-10)) + 1. Solve 0 = -l*p - 0*p + 20 for p. 5 Let c = -20 - -30. Suppose -c*i = -6*i - 40. Let u be (-3 - -1) + -2 + i. Solve -4*f = -f - u for f. 2 Let u(t) = -t - 2. Let m be -3*(-3)/((-18)/(-50)). Suppose -5*z = -v + m, 2*z = 3*z - 5*v + 29. Let i be u(z). Solve -2*w + 4*w = i for w. 1 Suppose 949 = 7*m - 4*m + 4*q, 3*m - 979 = 2*q. Solve 333*s - 50 = m*s for s. 5 Suppose 5*i - 5*n - 105 = 0, -5*i - n = -8*i + 59. Solve 44*l - 50 = i*l for l. 2 Suppose -21*r - 59099 = -59477. Solve -24*q + r = 42 for q. -1 Suppose -5*b + 105 = 5*m, 5*b - 5 - 48 = -3*m. Solve 146 - 16 = m*t for t. 5 Let d(l) = 24*l**2 + 47*l + 130. Let m be d(-3). Solve m = -6*k + 229 for k. 4 Let q(u) = -u + 34. Let o be q(10). Let m = -24 + o. Suppose m = -9*z + z + 56. Solve 0 = -3*y - 2 - z for y. -3 Suppose -13*y + 8 = -9*y. Let o be (-15)/(-3) + 5 + (1 - 4). Suppose 4*m - o*m = -21. Solve 3 = y*s + m for s. -2 Suppose 0 = t - 5*z - 168, 2*t + 10*z = 290 + 166. Solve -8*s = -t + 142 for s. 7 Suppose -72*f + 63751 = -4*f - 52189. Solve -1708*b + f*b + 12 = 0 for b. 4 Let l(b) = 8*b + 196. Let y be l(-24). Suppose 4*f - 26 = 2*n, y = -f + 3*n + 23. Solve -f*a - 22 = -34 for a. 3 Let y(n) = -n**3 + 24*n**2 + 48*n - 471. Let p be y(25). Solve 82 = 22*q + p for q. -1 Let z = 6205 - 6179. Solve z*c = -28 + 54 for c. 1 Suppose -19*z + 240 + 900 = 0. Solve -z = 5*w - 50 for w. -2 Suppose -56 + 1040 = 164*q. Solve 1156*z = 1150*z + q for z. 1 Let b = 24386 + -24329. Solve 0 = -88*z + b - 849 for z. -9 Let h be 4/(-14) + 4161/133. Suppose b + 0*b - h = 0. Let m = b + -19. Solve -3*k + m = k for k. 3 Let m be 40/16*(-34)/5*2. Let q be (-68)/85 + m/(-5). Solve -2*f = -q + 2 for f. 2 Let c be (-105)/(-14)*((-22)/(-10) + -1). Let j(a) = -3*a**3 + c*a**3 - 5*a**3 + 6*a - 17 + 7*a**2. Let m be j(-5). Solve 0 = 5*l - m*l + 4 for l. -2 Let y(a) = -10*a**3 + 2 + 39*a**2 + 74*a**2 + a - 115*a**2. Suppose -8*x + 3*x = 5. Let l be y(x). Solve -o = 2*o - l for o. 3 Let k be -5 - (-5 - 949/13). Solve -20 = 63*i - k*i for i. 2 Let c(d) = d - 8. Let n = 110 - 94. Let x be c(n). Solve -4 = 6*m + x for m. -2 Let c(j) = j**2 + 34*j + 7. Suppose -136 - 34 = 5*h. Let x be c(h). Solve -x*g - 16 = g for g. -2 Let d = 2 + -1. Let t(n) = 504*n**2 - 6*n + 3. Let l be t(-1). Let j = 516 - l. Solve j*k + 11 = -d for k. -4 Let w = -40 + 69. Suppose 0 = -24*i + w*i + 260. Let y = -48 - i. Solve -y*j = -j + 3 for j. -1 Let p = -4284 + 4359. Solve 0 = 19*j - p - 20 for j. 5 Let y = -70 + 45. Let l = 25 + y. Solve -2*g - 6 = -l*g for g. -3 Let q(c) = 7*c - 4*c - 28 + 3*c. Suppose 997*y - 1002*y + 35 = 0. Let m be q(y). Solve 5*j = 11 + m for j. 5 Suppose -137*u + 142*u = -420. Let i = u + 84. Solve i = -2*x + 4*x - 8 for x. 4 Suppose i + 5*p + 4 = 6*p, 3*i + 12 = -p. Let q be -1 + i*3/(-4). Solve -3 = n - q for n. -1 Suppose l - 5 = -2. Let q = 240 - 228. Let v be -1 + (19/6)/(q/72). Solve 5*s = v - l for s. 3 Suppose
{ "pile_set_name": "DM Mathematics" }
er. 3717, -2/3, -6/7, -49 Sort 5, -18, -1583, 1, 4, 0 in descending order. 5, 4, 1, 0, -18, -1583 Sort 0.4, 0.424, 0.2, 11, 6, 3/5 in decreasing order. 11, 6, 3/5, 0.424, 0.4, 0.2 Put 135, -4, 0.26, -6 in descending order. 135, 0.26, -4, -6 Put 418, 5870, -2/15 in ascending order. -2/15, 418, 5870 Sort 1, -8, -4, 2361, 4, 3. -8, -4, 1, 3, 4, 2361 Put 5, 3, 4, 11048, 75, 2 in decreasing order. 11048, 75, 5, 4, 3, 2 Put -28253, 8, 3, -1, 1 in descending order. 8, 3, 1, -1, -28253 Put 634, 4, 33, 966 in increasing order. 4, 33, 634, 966 Sort -814, -1, 60, 0, -3, -6 in ascending order. -814, -6, -3, -1, 0, 60 Put -19, 4, 159, -22, 1 in increasing order. -22, -19, 1, 4, 159 Put -1, 0.4, -9, 0.2, -2281/7, 5 in increasing order. -2281/7, -9, -1, 0.2, 0.4, 5 Put 4, -1, -5, -14, -2670, -2 in descending order. 4, -1, -2, -5, -14, -2670 Put -57, 2, 1, -5, -3, -89, 5 in decreasing order. 5, 2, 1, -3, -5, -57, -89 Sort 2/9, -3, -108, 1/2, -0.1, 299 in descending order. 299, 1/2, 2/9, -0.1, -3, -108 Sort 3838, -4, -43, 1 in decreasing order. 3838, 1, -4, -43 Sort -32, -12, 0, -8, 4, -10, -107 in descending order. 4, 0, -8, -10, -12, -32, -107 Put -27788, -3887, 0.2, 0.5 in descending order. 0.5, 0.2, -3887, -27788 Sort -0.020428, 5.93, -1/7, 4 in decreasing order. 5.93, 4, -0.020428, -1/7 Sort -1/4, 2/3, -2/7, 15355, 4, 0 in decreasing order. 15355, 4, 2/3, 0, -1/4, -2/7 Sort -8, -12, 5, -128, -75, -1. -128, -75, -12, -8, -1, 5 Sort 5, 1.63, 2/9, 8, -48, -0.5, -2 in ascending order. -48, -2, -0.5, 2/9, 1.63, 5, 8 Sort -77, 34, 8 in ascending order. -77, 8, 34 Put -2, -2/9, 448, -1/25 in decreasing order. 448, -1/25, -2/9, -2 Sort -3, 2, 18, -8, -21, -1, 102 in ascending order. -21, -8, -3, -1, 2, 18, 102 Sort -1, -68, -0.1, 0.4, 1, 0.063 in ascending order. -68, -1, -0.1, 0.063, 0.4, 1 Sort -127, -0.01, 2493.29 in descending order. 2493.29, -0.01, -127 Sort -43, 1, -40, -1.2276 in ascending order. -43, -40, -1.2276, 1 Sort -0.3, 52, -2, -21.001 in decreasing order. 52, -0.3, -2, -21.001 Sort -16, -52, 1, 11, 3, -2, 0 in increasing order. -52, -16, -2, 0, 1, 3, 11 Put 496, -1, -16, -2, -5, -175 in decreasing order. 496, -1, -2, -5, -16, -175 Sort 3, -0.4, -0.2, -3930, 3/2, 0. -3930, -0.4, -0.2, 0, 3/2, 3 Sort 542, -18, -349, 2 in increasing order. -349, -18, 2, 542 Sort 2, 1841, 4, -0.2, 0.1, -5 in descending order. 1841, 4, 2, 0.1, -0.2, -5 Sort 2/5, 0.099, -205/3, 4 in descending order. 4, 2/5, 0.099, -205/3 Sort 1, -78691/4, 581, 5 in increasing order. -78691/4, 1, 5, 581 Sort -4, -25, 5, 78, 36. -25, -4, 5, 36, 78 Put 3, 11, 4, 225, -10, 14 in decreasing order. 225, 14, 11, 4, 3, -10 Sort 1341398, -15, -4 in descending order. 1341398, -4, -15 Sort 0.3, -2/553, 0.056, 0.4, -508 in descending order. 0.4, 0.3, 0.056, -2/553, -508 Put 4, -146, 45006 in decreasing order. 45006, 4, -146 Put -49961, -136, -5 in ascending order. -49961, -136, -5 Sort 1/5, 5, -13/4, 0.9, -35228 in descending order. 5, 0.9, 1/5, -13/4, -35228 Sort 8, 0, -5, 222, 7, 1 in ascending order. -5, 0, 1, 7, 8, 222 Put -7, -165, -3, -2, 3, 0, 62 in increasing order. -165, -7, -3, -2, 0, 3, 62 Put -5, -140894, 4, -4, 0, 1 in ascending order. -140894, -5, -4, 0, 1, 4 Put -0.02, -39747, -22, -0.4 in ascending order. -39747, -22, -0.4, -0.02 Sort -7/2, -6, -3/41, -0.3, 287. -6, -7/2, -0.3, -3/41, 287 Put -2/7, -53, 2/11, -4, 10518 in increasing order. -53, -4, -2/7, 2/11, 10518 Sort 6.461, -1, 108/31 in descending order. 6.461, 108/31, -1 Put 0.5, -569/79, -759 in descending order. 0.5, -569/79, -759 Sort 11, -24, -1, 4, -3. -24, -3, -1, 4, 11 Put -2404, 4, 74, 3, -1, 5 in ascending order. -2404, -1, 3, 4, 5, 74 Sort 13, -95, 14, 1, -20, 2/3 in ascending order. -95, -20, 2/3, 1, 13, 14 Sort 0, 145, 1402, 7 in ascending order. 0, 7, 145, 1402 Sort 6, 4, -116728, 53 in ascending order. -116728, 4, 6, 53 Put 1, -885, -4124 in decreasing order. 1, -885, -4124 Put 2, -5, -796, 128, -13/9 in decreasing order. 128, 2, -13/9, -5, -796 Put 2/7614931, -1/7, -19 in decreasing order. 2/7614931, -1/7, -19 Sort 1, 0, 6,
{ "pile_set_name": "DM Mathematics" }
(a) -4/13 (b) -107 (c) -5 a Which is the nearest to -4? (a) 1.4 (b) -1 (c) -3 (d) -0.2 c What is the closest to -3.26 in 0.5, -1/4, -285? -1/4 Which is the closest to -3.6? (a) -0.4 (b) -0.2 (c) 26 (d) -0.5 (e) 2 d Which is the closest to 1/7? (a) 1/7 (b) -2/17 (c) -5 (d) -4 (e) -177.2 a What is the nearest to -0.2 in -7, -3/79, -8, 0.1? -3/79 What is the nearest to -13 in -2/7, 10/3, 7, -1/5, 1/4? -2/7 What is the closest to -2 in -344, 4, 0, -3, -1.3? -1.3 What is the closest to -21 in -2, -5, 20? -5 Which is the closest to 0? (a) 0.05536 (b) 4/3 (c) -4 (d) -3 a What is the nearest to -1/6 in 0.3, 0.6, 0.4, -68/29? 0.3 Which is the closest to -1? (a) 0.4 (b) 174/73 (c) 0.5 (d) -1 d Which is the nearest to 1? (a) -0.4 (b) 1/192 (c) 0.177 (d) 7 c Which is the nearest to -50? (a) 1/4 (b) -1/6 (c) -29 c What is the nearest to 1 in 3/20, -2/37, 5, 82, 0.1? 3/20 What is the nearest to -0.1 in -4, 4, 322/5, 1/3? 1/3 What is the nearest to 9/7 in -1.2, 6, -2/5? -2/5 Which is the closest to 3? (a) 20 (b) 3 (c) -269 b What is the closest to 0.1 in -2/3, 3, -2.5, -4, -2/7? -2/7 Which is the nearest to -2? (a) 2/11 (b) 8/9 (c) 7 (d) -0.5 (e) 55 d Which is the closest to 0? (a) 1/7 (b) -163 (c) 8 a Which is the closest to 0.1? (a) -3 (b) 0.2 (c) 0.21 (d) -1/4 (e) -0.07 b Which is the nearest to -2? (a) 2/85 (b) 3 (c) -24 (d) 2 (e) 2/5 a Which is the nearest to 0.1? (a) -1 (b) 1.5 (c) -82 (d) -0.1 (e) 1 d Which is the nearest to -2/5? (a) -2/349 (b) 6/145 (c) 3/4 (d) -2 a Which is the closest to -1/5? (a) 1/3 (b) 1 (c) -29/4 (d) -1/2 (e) 0.4 d What is the closest to -1/3 in -220, -3, 3, 4, -261? -3 What is the nearest to 4 in 0.16, 0.3, 3/5, 2/3? 2/3 What is the nearest to -1 in 217398, 1/2, -1/2? -1/2 Which is the nearest to 0? (a) 0.11 (b) 2 (c) 35 (d) 4 (e) 1 a Which is the nearest to -2/5? (a) -1 (b) 0.4 (c) -119.1 (d) -3 a What is the nearest to -2/113 in 2, 4, -14/9? -14/9 What is the closest to 0.0032 in -1, -2, 9, -4? -1 Which is the nearest to -1? (a) 5 (b) 4 (c) -0.38 (d) 2 (e) -5/8 e What is the closest to -354 in -3, -2/13, -251? -251 Which is the nearest to -1? (a) 36 (b) 5.2 (c) 3 (d) -2/5 d What is the nearest to 9 in 30/19, -0.3, 2, -10? 2 What is the closest to -1 in 0, 3, -2/9, -1.37? -1.37 Which is the closest to 2/3? (a) -2.69 (b) 0.021 (c) -5 b What is the closest to 0.5 in -1, 0.0351, 3, -2/13? 0.0351 What is the closest to -1/5 in -11/9, -3/2, 3, 2/9? 2/9 What is the nearest to 15 in -2/13, 466, 24, 0? 24 What is the closest to 116 in -1/7, 0.5, -1/3, -5/2? 0.5 Which is the nearest to 30170? (a) 2/11 (b) -3/5 (c) -1 a Which is the nearest to 0.3? (a) 1 (b) 143 (c) -2 a What is the nearest to 8 in -627, 1/2, 1/5? 1/2 Which is the closest to 1/9? (a) -1 (b) -5 (c) -3 (d) -0.1 (e) -0.24 d Which is the closest to -171? (a) 9 (b) -1 (c) 4 b Which is the closest to -0.5? (a) -40 (b) 0.3 (c) 2/7 (d) -11/4 c What is the closest to -1 in 5, 25.4, 0.042, 1/4, -1/2? -1/2 What is the closest to 53 in -0.032, 21, 1/5, -4, 1? 21 Which is the closest to 0.1? (a) 2/3 (b) -2/9 (c) -5/18 (d) -2/13 d What is the nearest to 32 in -1/3, -2/23, 2, 0.02, 2/3? 2 Which is the closest to 0? (a) 0.8 (b) -4 (c) 3/10 (d) -8/45 d Which is the nearest to 0.1? (a) -1/2 (b) -1/3 (c) 0.189 (d) 1/2 (e) -3/2 c What is the closest to 0 in 2, -1/13, 0, 1/18? 0 Which is the nearest to -4? (a) -81 (b) 0.59 (c) 2 b Which is the closest to 4? (a) 5 (b) 0 (c) -405 (d) -4 a What is the nearest to 1/3 in 6, -1/2, 0.0623? 0.0623 Which is the nearest to 4? (a) -0.2 (b) 19/11 (c) 1/9 (d) -5 b What is the nearest to 3 in -0.22, 0.3, -31? 0.3 Which is the closest to 22/3? (a) 3 (b) 1/10 (c) -9 (d) 2/29 a What is the nearest to
{ "pile_set_name": "DM Mathematics" }
-4*w. Let d(z) = l*k(z) + 3*s(z). Determine d(-5). -13 Let t(w) = -w**2 + 16*w - 11. Let u be t(15). Let b = u - 2. Let r(g) = -3*g**2 + 8*g**2 - 3*g**2 + b*g**2. What is r(-2)? 16 Let h(y) = -y**2 + 4*y - 3. Let x = 13 - 9. Suppose -5*w + x*a + 18 = 109, 0 = -2*w + 4*a - 46. Let j = w - -19. What is h(j)? -3 Let l(y) = -30*y - 26*y + 61*y. Let t(x) = x**2 - 3*x + 1. Let j be t(3). Give l(j). 5 Let t = 2 - 3. Let w(f) = -24829*f + 12406*f + 12414*f. Determine w(t). 9 Let q(j) be the first derivative of -j**3/3 + 6*j**2 - 7*j - 395. What is q(12)? -7 Let r = 137 + -133. Let q(i) = 27*i**2 - 2. Let s be q(4). Let a be s/90 - r/(-18). Let j(x) = x**3 - 4*x**2 - 7*x + 1. What is j(a)? -9 Let c(n) = 4*n**2 - 2*n - 1. Let m = 87 - 82. Suppose 2*l - 3 = -z - 7, z - 3 = m*l. Calculate c(z). 19 Let h be 126/9 + (0 - 2). Let w(y) = y + 1. Let r(g) = -6*g + 8. Let i(b) = -r(b) - 5*w(b). What is i(h)? -1 Let a(q) = q**3 + 12*q**2 + q - 8. Suppose 525 - 213 = -26*s. What is a(s)? -20 Let m(c) = -81*c + 41*c + 45*c - c**2 - 3. Give m(7). -17 Let w(x) = -3*x - 2. Let j = 12 + -8. Let l(n) = n + 1. Let r(f) = j*l(f) + 2*w(f). Let s be (-1)/2 - (-18)/(-4). Determine r(s). 10 Let k(x) = -9*x - 53. Let y(p) = 24*p + 159. Let d(l) = -7*k(l) - 2*y(l). Give d(-4). -7 Let c(m) = m**2 - 10*m + 9. Suppose -16*w + 58 = -70. Determine c(w). -7 Let p(i) be the third derivative of -i**6/4 + i**5/60 + 5*i**2 - 11. Give p(1). -29 Let h be -1*(0 + 1 + 14/(-12)). Let j(b) be the second derivative of b + h*b**3 + 0 + 5*b**2. Calculate j(-7). 3 Suppose 11 = 4*t - 2*b + 55, 2*t - 3*b + 22 = 0. Let l = -18 - t. Let h(k) = k**3 + 6*k**2 - 8*k - 1. Determine h(l). 6 Let j(q) = 16*q + 16. Let c(l) = -3*l - 3. Let k(n) = -11*c(n) - 2*j(n). Let i(m) = -5*m - 37. Let r be i(-6). Give k(r). -6 Let x(l) = 17*l + 6. Let p(c) = 11*c + 4. Let n(g) = 8*p(g) - 5*x(g). Let y(h) = -h**2 - 8*h - 1. Let u be y(-7). Suppose -u*v - 7 = 5. What is n(v)? -4 Let v(g) be the second derivative of -g**8/6720 - g**5/24 - g**4/6 + 2*g. Let o(x) be the third derivative of v(x). Let a = -1381 + 1381. Determine o(a). -5 Let o(m) = -m**2 + 9*m - 1. Let g be (-1)/((-20)/(-90)*6/4). Let s be (g + -1 - 3)/(-1) - -1. Calculate o(s). 7 Suppose 4*a + 4*j = 17 - 45, a + 27 = -5*j. Let w(g) = 6*g + 3. Give w(a). -9 Suppose -2*i = -4*i - 12. Let n be (3/i)/((-3)/30). Let m(b) = n - b - 2 - 3. Calculate m(6). -6 Let h(u) = 3*u - 1. Let g(f) be the third derivative of f**4/24 - 2*f**2. Let a(i) = -5*g(i) + h(i). Calculate a(2). -5 Let n(r) be the second derivative of 4/3*r**3 - r + 1/20*r**5 + 0 - 4*r**2 - 2/3*r**4. Suppose 16*p + 23*p = 273. Calculate n(p). -1 Let q = 103 + -115. Let l be (-3)/(18/q) - 6. Let x(m) = -4*m - 4. Give x(l). 12 Let p(h) = -h**2 - 7*h - 2. Suppose u = k - 2*u + 3, -5*k - u = -49. Suppose -6*o = -9*o + k. Suppose -21 = o*b + y, 0*b - 14 = 2*b - 3*y. Give p(b). -2 Let b(a) = a**2 - 2*a - 4. Suppose 5*j = 4*c, 0*c + c = -5*j. Let n be b(j). Let l(v) = v**3 + 4*v**2 - 4. Determine l(n). -4 Let b = 208 - 138. Suppose b*l - 64*l = -12. Let u(p) = -4 + 1 - 3*p - 2*p**2 + 0*p. Calculate u(l). -5 Let v(w) = 2*w**2 - 96*w + 16. Let y(q) = -q**2 + 45*q - 7. Let o(j) = -6*v(j) - 13*y(j). Let z(a) = 2*a**2 + 2. Let n be z(2). Calculate o(n). 5 Let z(n) = -9*n**3 - 39*n**2 + 5*n - 34. Let k(a) = 4*a**3 + 19*a**2 - 2*a + 16. Let v(h) = -7*k(h) - 3*z(h). What is v(-16)? 6 Let v = -14 + 13. Let u be v/(2/8) + 8. Let d(l) = 5 - 3 - 4*l + 5*l. What is d(u)? 6 Let q(g) = 4 + 4*g - 13 + 14. Give q(-3). -7 Let a = -2028 - -2022. Let o(r) = 2 + 4 + r**2 + 9*r + 0. Calculate o(a). -12 Let j = 3 + -2. Let v(f) = -81*f**3 + 162*f**3 - 86*f**3 + f - 1. What is v(j)? -5 Let o(u) = u**3 + 15*u**2 + 47*u + 39. Let t be o(-11). Let f(a) = 3*a - 22. Calculate f(t). -4 Let b = 5 + -10. Let z = b + 7. Let v(h) = 1 - 3*h**2 - h - z*h + 4*h**2. What is v(3)? 1 Let b = 56 +
{ "pile_set_name": "DM Mathematics" }
3 prime? False Is 10259 prime? True Is 5721 prime? False Is 127222 a prime number? False Is 1130929 composite? False Is 5051 composite? False Is 14567 a composite number? True Is 67307 composite? False Is 36922 composite? True Is 394046 a prime number? False Is 717491 composite? False Is 56471 prime? False Is 431389 a composite number? True Is 773681 a prime number? True Is 1979 a prime number? True Is 343807 composite? True Is 246241 composite? False Is 328961 a composite number? False Is 35515 a composite number? True Is 794741 a composite number? False Is 107437 a composite number? True Is 434567 prime? False Is 317437 a composite number? False Is 150631 a prime number? False Is 943589 a prime number? True Is 529 composite? True Is 44449 a composite number? False Is 40343 a prime number? True Is 106147 composite? True Is 375461 a prime number? False Is 114331 prime? False Is 5323 prime? True Is 46261 composite? False Is 451159 a prime number? True Is 414311 a prime number? True Is 34197 a composite number? True Is 4751 prime? True Is 564695 a composite number? True Is 160807 composite? False Is 8651 a prime number? False Is 369869 prime? False Is 63515 a prime number? False Is 2316203 a composite number? False Is 463127 prime? False Is 4153 a composite number? False Is 13303 a prime number? False Is 29717 a prime number? True Is 469193 prime? True Is 1091999 a composite number? True Is 2218 composite? True Is 11213 prime? True Is 69551 a prime number? False Is 20239 prime? False Is 5557 prime? True Is 506017 composite? True Is 396403 a composite number? True Is 6899 composite? False Is 18623 a prime number? False Is 7057 composite? False Is 14503 a prime number? True Is 102911 a prime number? True Is 5403 a prime number? False Is 552971 composite? False Is 366713 a prime number? True Is 124329 prime? False Is 1043 a composite number? True Is 75629 composite? False Is 18979 a prime number? True Is 3163 composite? False Is 1195 composite? True Is 246901 composite? True Is 1157 composite? True Is 282343 prime? False Is 411403 a prime number? False Is 1415707 composite? False Is 7261 composite? True Is 711163 a prime number? True Is 593839 a prime number? True Is 1093987 composite? True Is 16183 composite? False Is 84115 a prime number? False Is 958 prime? False Is 15891 composite? True Is 226167 composite? True Is 4176659 prime? False Is 220519 a prime number? False Is 9091 composite? False Is 2437 a composite number? False Is 17881 prime? True Is 10123 composite? True Is 115633 prime? False Is 1315651 a composite number? False Is 78919 composite? False Is 133979 composite? False Is 253 a composite number? True Is 1866721 a prime number? True Is 220747 a prime number? True Is 653011 composite? True Is 922 a prime number? False Is 24731 a composite number? True Is 38149 a prime number? True Is 3070213 a composite number? False Is 639091 prime? True Is 19739 composite? False Is 2718911 a prime number? False Is 58211 prime? True Is 212051 composite? True Is 14369 prime? True Is 23755 composite? True Is 144203 a prime number? True Is 31867 a prime number? False Is 1648037 a prime number? False Is 264001 prime? False Is 479013 prime? False Is 10781 prime? True Is 517271 a prime number? False Is 825611 a composite number? False Is 21029 a composite number? True Is 90149 composite? False Is 285517 prime? True Is 2469067 prime? True Is 363101 a prime number? False Is 73637 composite? False Is 1317479 composite? True Is 58471 composite? True Is 1619047 a prime number? False Is 161947 prime? True Is 14969 a composite number? False Is 182117 a composite number? True Is 9974 a prime number? False Is 3406363 prime? False Is 34313 prime? True Is 3989 prime? True Is 757151 composite? False Is 381629 a prime number? True Is 22863 a composite number? True Is 24031 prime? False Is 685 a prime number? False Is 566459 composite? True Is 4135 a composite number? True Is 558485 composite? True Is 1571 composite? False Is 12633 a composite number? True Is 95345 a composite number? True Is 9115 a composite number? True Is 244727 a prime number? False Is 13801 composite? True Is 636749 a composite number? False Is 1117 a composite number? False Is 14738 prime? False Is 1087 a prime number? True Is 154571 a composite number? False Is 19231 composite? False Is 45827 composite? False Is 179233 prime? True Is 297443 a composite number? True Is 28687 a prime number? True Is 117017 composite? False Is 2099 a prime number? True Is 4757 prime? False Is 2495 a prime number? False Is 82781 a prime number? True Is 247727 prime? False Is 314671 composite? True Is 9229 a prime number? False Is 35969 a composite number? False Is 13799 a composite number? False Is 5207 a composite number? True Is 177167 prime? True Is 82699 a composite number? False Is 2749 a composite number? False Is 91859 composite? True Is 49783 prime? True Is 21809 a prime number? False Is 1258079 a prime number? True Is 1324985 a prime number? False Is 26126 composite? True Is 23269 prime? True Is 1977 prime? False Is 106087 a prime number? True Is 4729 composite? False Is 88993 a composite number? False Is 1905193 a composite number? True Is 107227 a composite number? False Is 40993 composite? False Is 327059 composite? False Is 14057 prime? True Is 2592521 a composite number? False Is 4159 composite? False Is 11183 a prime number? False Is 408559 composite? True Is 14303 prime? True Is 190214 a composite number? True Is 12053 composite? True Is 6521 prime? True Is 5411 a composite number? True Is 35537 composite? False Is 270191 a composite number? False Is 846551 composite? True Is 22739 prime? True Is 1361 a composite number? False Is 584911 a prime number? True Is 70379 a composite number? False Is 164617 a prime number? True Is 15253 composite? True Is 517 a composite number? True Is 10135 a prime number? False Is 62357 prime? False Is 85001 prime? False Is 2249 a prime number? False Is 10937 composite? False Is 15769 a composite number? True Is 39683 composite? True Is 1156451 a composite number? False Is 576139 composite? True Is 1279357 composite? False Is 837021 a prime number? False Is 222289 prime? True Is 2707345 a composite number? True Is 1771261 a prime number? True Is 4331417 composite
{ "pile_set_name": "DM Mathematics" }
- 49*q**3. Give y(-4). 16 Let m(a) = -535 + 1076 - 3*a + 4*a - 538. Let f(s) = 2*s + 3. Let x(w) = -2*f(w) + 3*m(w). What is x(2)? 1 Let t(b) = 2 + 20*b + 9*b**2 - 15*b - 8*b**2. Let r(z) = 3*z + 40. Let u be r(-15). Give t(u). 2 Let d(x) be the second derivative of x**5/120 + x**4/6 + 10*x**3/3 + 112*x. Let j(p) be the second derivative of d(p). Give j(-3). 1 Let i = -23 - -47. Suppose u - 3*d + i = 6*u, -6 = 3*d. Let k(y) = 0*y + 10*y**2 - 4*y**2 - 7 - y**3 + 2*y. Give k(u). 5 Let o(i) be the third derivative of 1/6*i**3 - i + 1/15*i**5 + 0 + 27*i**2 - 1/24*i**4. Determine o(-1). 6 Let s(g) = 5*g**2 + 11*g + 4. Let q be s(-9). Let h(j) = -j**2 + q - 2*j - 310. Calculate h(2). -8 Let a(n) = -n**3 + 2*n**2 - 3*n + 7. Let l(o) = -o**2 + o. Let y(m) = a(m) - 5*l(m). Let z = -125 - 229. Let s = z - -360. Calculate y(s). -5 Let l(g) = 11*g. Let b(i) = -9*i + 12. Let o(a) = -10*a + 9. Let h(r) = -3*b(r) + 4*o(r). Let k(j) = 5*h(j) + 6*l(j). Calculate k(3). 3 Let p(o) = -o**3 + 10*o**2 + 5*o + 13. Let z be p(7). Let r(m) = -m**2 + 0*m**2 - z + 2*m + 198. Calculate r(-3). -12 Let z(v) = -9*v**3 - 3*v**2 - 3*v - 1. Let m be 0 - (44/(-198) + (-40)/(-18)). Calculate z(m). 65 Let y(v) = 2*v - 1. Let q(z) = -z**3 - 14*z**2 + 29*z + 10. Let f(p) = q(p) - 6*y(p). What is f(-15)? -14 Let t be (1 + -3)/((-16 - 4)/(-140)). Let k(j) = j**3 + 15*j**2 + 15*j + 3. Calculate k(t). -11 Let o(x) be the first derivative of x**3/3 + x**2 + 2*x - 2066. Let l be (-1)/1 + (-6)/(-2). Let f be (-3 + 5/l)*4. Determine o(f). 2 Let l(o) = 242*o - 34. Let g(a) = 51*a - 7. Let d(t) = 19*g(t) - 4*l(t). What is d(16)? 19 Let o(n) be the first derivative of -1/2*n**2 - 1/6*n**3 - 33*n - 33. Let w(v) be the first derivative of o(v). Determine w(-6). 5 Let x(c) be the second derivative of -5*c**4/12 - 79*c**3/6 + 10*c**2 - 2974*c. What is x(-16)? 4 Let i(a) be the second derivative of -a**5/20 - 5*a**4/12 + a**3/2 - 7*a**2/2 + a - 46. Determine i(-7). 70 Suppose -56*l + 0 + 183 + 41 = 0. Let p(d) = 13*d - 17. Calculate p(l). 35 Let h(r) = -r**3 - r**2 + 3*r + 5. Suppose 5*v = -5*k, -5*k - 6 = -0*v + 2*v. Let j be h(k). Let t(g) = 21*g**j - 2 + 4 - 1. What is t(1)? 22 Let k(z) = 3*z**3 - z**2 - z + 1. Let g(n) = -n**3 - 9*n**2 - 11*n - 18. Let y be g(-8). Suppose -6 = -2*u, 19 = y*s - 2*s + 5*u. What is k(s)? 2 Let y(u) = 23*u**3 - 22*u**2 + 4*u - 1. Let q(a) = 10*a**3 - 10*a**2 + 2*a - 1. Let r(o) = 7*q(o) - 3*y(o). Determine r(3). -7 Suppose 5*f + 0*f = 15. Let w(r) be the first derivative of 2*r**3/3 + 3*r**2/2 - 5*r + 14. Let o(y) be the first derivative of w(y). Determine o(f). 15 Suppose 0 = a + m - 7, 3*m - 35 = -9*a + 4*a. Let f be (a - 3) + (-3 - 1). Suppose f = 3*z - 15*z - 96. Let b(y) = -y**2 - 7*y + 8. Calculate b(z). 0 Let m(b) be the third derivative of -b**5/30 - b**3/6 + 922*b**2. Let t be 3*((-16)/12 + 2). Give m(t). -9 Suppose -17*r + 737 = -6*r. Let i = 65 - r. Let z(s) = -2*s**2 + 292 - s - 292 - 2*s. Give z(i). -2 Let q(v) = 2*v - 9. Let i be (-84)/28 + 3/((-6)/(-20)). Suppose 0 = 6*p - 29 - i. What is q(p)? 3 Let n be (-2 + 2)*5/(-10). Suppose 2*c + q + 7 = n, 2*c + 10 = -c - q. Let o(s) = -s**3 - s**2 + 2. Calculate o(c). 20 Let c(u) = 5*u**2 + 4*u + 1. Let g be (-14)/(-3)*936/(-1092). What is c(g)? 65 Let r(c) = -31*c - 135. Let j = 24358 + -24363. Calculate r(j). 20 Suppose -w - 221 = 5*u, -44 - 92 = 4*u - 6*w. Let d(t) = 2*t + 78. Calculate d(u). -8 Let z(w) = 16*w - 16. Let s(i) = 3*i - 3. Let f(t) = -11*s(t) + 2*z(t). Let r be 2/(-13)*94705/(-2914). Determine f(r). -4 Let v(q) = -q**2 + 14*q - 27. Suppose 141*f - 322 = 95*f. Calculate v(f). 22 Suppose -36*s + 32 = 29*s - 57*s. Let k(a) = a**3 + 0*a**3 + 3*a**2 + 4 - 11*a**2 + 4*a + a. What is k(s)? -40 Let h = 20 - 10. Suppose h = 2*b + 4. Suppose 4*o + 24 = -4*s, s + 3*o + b = -o. Let y(f) = -f**2 - 6*f - 3. Calculate y(s). -10 Let n(m) be the first derivative of -m**3/3 + 2*m**2 + 3. Let l = 160 - 152. Suppose 19*r + l = 21*r. Determine n(r). 0 Let r(v) = 2*v**3 - 33*v**2 + 29*
{ "pile_set_name": "DM Mathematics" }
)/(-96)*(100*1)/(-2). -25 (0*7/119)/8 0 What is (9*5/24)/(7*13/1456)? 30 What is the value of -1*(-1)/(-3)*((-22)/(-11))/(-2)? 1/3 Calculate (-2)/2*((-2)/(-27))/(2/(-3)). 1/9 18*10*(-30)/675 -8 Evaluate (-18)/(-36)*5*2. 5 Calculate 18/10*(-620)/248*(-20)/(-6). -15 What is (-40)/(-9)*(-108)/(-90)? 16/3 Evaluate (-6)/((-2)/(56/(-196))). -6/7 What is (-24)/(-24)*828/(-36)? -23 What is the value of ((-3)/((-12)/(-8)))/(94/(-47))*-17? -17 Evaluate 21*(-15)/27*(162/30)/(-9). 7 Evaluate -25*(-10)/(-50)*5. -25 What is the value of 2/7*42/(-9)*15/(-160)? 1/8 ((440/(-330))/((-8)/6))/2 1/2 What is the value of (-4)/20*2*-7*(-39)/78? -7/5 What is -12*(-1*3/8)/((-51)/170)? -15 What is the value of (-84)/20*((-5)/(-12))/((-1)/8)? 14 1*2/((2/(-11))/(-1)) 11 What is 8456/(-1510)*2/8? -7/5 Calculate 10/(-4)*((-261)/180)/(-29). -1/8 Evaluate ((-11)/858)/(8/(-26))*24. 1 Evaluate (((-1920)/(-55))/(-32))/((-8)/2). 3/11 Evaluate (-3)/1*(-3333)/303. 33 What is 55/66*-18*(-4)/30? 2 (66/9856*16)/(3*1/(-2)) -1/14 Calculate (-600)/3900*52/16. -1/2 Calculate ((-13115)/(-1118))/(-61)*1/((-5)/(-6)). -3/13 Calculate 168/7*(-3)/9*1. -8 What is the value of (4/60*456/19)/((-2)/(-5))? 4 (-1200)/630*(-14)/24 10/9 What is the value of (-57)/15*-2*13/26*-5? -19 What is (2630/(-3156))/(5/2)? -1/3 What is the value of 18*6/432*(-24)/(-99)*-3? -2/11 Calculate (-39)/((-117819)/(-424))*(-2)/(8/3). 2/19 ((-6)/216*-9)/(3/900*-5) -15 (-14*(-10)/35)/(8*5/100) 10 0/(((-7)/(-28))/(2/(-8))) 0 Evaluate (-4*44/8)/((-14)/(-7)). -11 What is the value of (-65*20/(-780))/((-2)/((-12)/(-2)))? -5 784/(-294)*18/(-12) 4 Evaluate ((-30)/(-7))/(996/3486). 15 Evaluate ((-2)/(-2))/(21*(-25)/(-13125)). 25 What is 0/(-1*((-1)/(-1))/((-46)/(-46)))? 0 Calculate ((-6)/(-3))/(78/(-6)). -2/13 Evaluate (-30)/9*3/4150*-10. 2/83 Evaluate 6/(-2)*(-24)/8. 9 1/(112/(-63))*4*(-4)/3 3 ((-1260)/(-20))/(-9)*1 -7 What is the value of (17*2)/(-46*(-41)/943)? 17 Calculate 7/63*(-26)/(-78). 1/27 What is (1*3)/(((-4251)/1090)/((-1)/(-5)))? -2/13 24/10*(-115)/(-23) 12 Evaluate (3/(-87))/(-2*14/56). 2/29 1*1/(-1)*2434/37727 -2/31 Evaluate (2/(-2))/(((-5)/1)/25*7). 5/7 Evaluate ((-1)/(22/(-22)))/6. 1/6 What is the value of ((-30)/(-30))/((-5)/(-75))? 15 24*(36/(-600)*-10)/((-9)/1) -8/5 26/(-12)*552/92*(-16)/(-8) -26 What is -3*68/(-3366)*6? 4/11 Evaluate ((-56)/2100*10)/(72/225). -5/6 Calculate ((-77)/(-28))/(3*(-4)/48). -11 Evaluate (-15)/(-84)*2/(-10)*319/319. -1/28 What is the value of ((-36)/27)/((-102)/(-2295))? -30 What is the value of (35/15)/(-7)*(-5)/((-15)/4)? -4/9 ((-100)/8)/(48/(-96)) 25 Calculate -7*((-2)/5)/(2/(-5)). -7 Calculate (24/(-20))/(((24/30)/(-1))/2). 3 Evaluate 4/(-8)*-3*(-1178)/(-93). 19 Evaluate (22/110)/((-198)/(-300))*27/15. 6/11 (-2)/((1776/168)/(-37)) 7 Evaluate (28*15/4200)/((-2)/(-340)). 17 What is ((1*-2)/(206/1030))/(2/2)? -10 Evaluate 3/(-12)*(-9)/(-12)*(-368)/276. 1/4 Evaluate 5/(-50)*-10*4. 4 What is the value of ((-270)/(-9))/(-15)*(-6)/(-4)? -3 1/((((-12)/(-18))/(-1))/((-2)/(-1))) -3 Calculate ((-5)/5)/(-6)*(-180)/27. -10/9 ((20/(-100))/((-2)/90))/((-3)/2) -6 What is ((-10)/5)/(-1*(-5)/(20/(-76)))? 2/19 What is 4/(-20)*0*12/192? 0 What is the value of (2/(-140)*-4)/((-122)/4880)? -16/7 ((-6)/(-8))/((-45)/80*80/(-100)) 5/3 Evaluate -10*13*24/260. -12 Calculate (-1)/(8/(64/12))*(-66)/(-286). -2/13 Evaluate (4335/30)/(-17)*1/(-1). 17/2 Calculate ((26/(-39))/(-2))/(5/(-60)). -4 What is (-42)/(-315)*-5*(-9)/6? 1 6/15*15/(-30) -1/5 What is the value of (-9*506/(-990))/((6/(-10))/(-3))? 23 What is the value of (8/60*-5*(-21)/(-182))/4? -1/52 (976/854)/(8/126) 18 Evaluate 1*((-55800)/(-45))/40. 31 Calculate 9/(-216)*4/(-2)*2. 1/6 Calculate 72/(-252)*-1*14/2. 2 What is the value of (108/(-1485))/((-8)/44)? 2/5 (((-112)/21)/(-8))/((102/(-108))/17) -12 What is the value of (-62)/(-155)*5*(-1)/(2/20)? -20 What is 60/(30/(-10))*4/(40/5)? -10 Calculate (455/1820)/(2/(-240)). -30 Calculate -2*(-15)/(-48)*(-6)/60. 1/16 Calculate -1*(-4*6/(-48))/(-1)*8. 4 What is the value of (36/70)/((-25)/(-175))? 18/5 ((3/57)/((-25)/25))/((-1)/2) 2/19 What is 3/((-45)/100*2)*228/(-76)? 10 What is (8/(-10))/(79/(-45030)*19)? 24 Calculate (255/(-3060))/((-1)/30)*-2. -5 What is the value of (-1*(-48)/832)/(3/8)? 2/13 What is 2142/918*5/28? 5/12 ((-200)/(-15900))/((-5)/15) -2/53 Evaluate 15*((-182)/(-26))/(-7). -15 ((-2)/(-216))/((-133)/(-798)) 1/18 What is the value of (96/(-160))/(2/(-2)*8/40)? 3 Evaluate (19/(-95)*-1)/2. 1/10 Calculate (288/45)/(8*3/60). 16 What is ((-4)/7)/(4086/1589)? -2/9 What is the value
{ "pile_set_name": "DM Mathematics" }
e? (a) -1/5 (b) m (c) o b Suppose k - 5 - 4 = 0. Let r be (k/(-3))/(33/2). Let u = -1 - -5. What is the third smallest value in u, -5, r? u Let l = -199 + 189. What is the third biggest value in l, -2, -3? l Let s(f) = f**2 - 3*f + 3. Let t be s(2). Suppose 14 + t = 5*l. Let u = -12.84 + 13.34. What is the third smallest value in u, -1, l? l Let s = 17 - 27. Let w = s + 30. Let m = w + -21. Which is the second biggest value? (a) -2 (b) 3 (c) m c Let f = -6.09 - -2.09. Let d = -3 - -8. What is the third biggest value in 0, f, d? f Let n be 16/6 + -15 + 8 - -4. Which is the second smallest value? (a) 5 (b) -93/2 (c) n c Suppose 0 = -3*a + 9, -5*k + 2*a = 2 - 6. What is the third biggest value in k, 0, 2/29? 0 Let f = 98/93 + -12/31. What is the second biggest value in 2/7, -0.1, f? 2/7 Let a = -96 - -100. Let j = 8.6 + -10. Let t = 1 + j. What is the biggest value in t, 0.3, a? a Let b = -0.034 + 0.444. Let o = b + -0.11. What is the third biggest value in -6/7, 1/3, o, 0.1? 0.1 Let f = 631.06 + -631. Which is the biggest value? (a) 2/3 (b) -2/13 (c) -1 (d) f a Let z = 8102 + -8105. Let h = -17/56 - -3/56. Which is the second biggest value? (a) -2 (b) z (c) -0.2 (d) h d Let u be (-1 - (-1 + 0)) + (-24)/(-6). Let b be (10/180)/(2 + (-9)/u). What is the second biggest value in 3, 5, -1/2, b? 3 Let v be -19 + 13 + 96/15. Which is the third smallest value? (a) v (b) -71 (c) -0.3 a Let a = 18317 + -18314.5. Let l = 4.8 + -0.8. What is the fourth biggest value in 0.2, a, 2, l? 0.2 Let j = -0.244 - 0.156. Let o(n) = -n**3 - 15*n**2 + n + 15. Let m be o(-15). What is the fourth biggest value in 2, m, 0.3, j? j Let x(t) = 3*t**3 + 3*t**2 + 4*t + 2. Let k be x(-1). Let i = -16 - -15.6. Let y = -0.4 + 0.2. Which is the third smallest value? (a) k (b) y (c) i b Let j = 41 - 85/2. Suppose 5*l + 2*l = 7. What is the smallest value in 0.03, l, j? j Let y = 92.201 - -0.799. Which is the second smallest value? (a) y (b) -5 (c) 0.4 c Let w = 1.028 - -3.972. Which is the fourth biggest value? (a) -2 (b) -1/8 (c) w (d) 0.049 a Let h = 1.98 - 2.8. Let l = -0.22 - h. What is the third biggest value in -1, 2/11, l? -1 Let v be 112/(-28) - 14/(-4). What is the third biggest value in 37/5, v, 4? v Let x be ((-5)/4)/(651/112). Let q = 3/62 + x. Which is the second smallest value? (a) q (b) -4/7 (c) 4 (d) 1/9 a Let y = -0.0276 - 2.9724. Which is the third biggest value? (a) y (b) 5 (c) 6 (d) -0.4 d Let m = 43 - 49. Let w = -0.01 + -6.99. Let v = -6 - w. Which is the third biggest value? (a) m (b) v (c) 0 a Let t = 4.3 - -51.7. Let l = -58 + t. Which is the biggest value? (a) 2 (b) -7 (c) l a Let q be 18/(-28) - 2/(-4). Let n(w) = -108*w - 4963. Let d be n(-46). What is the second biggest value in d, 0.03, q, 3? 3 Let d = -103 + 3401/33. Which is the second smallest value? (a) 3 (b) d (c) 2 c Let m = -1.006 - -1.506. Which is the fourth biggest value? (a) 4 (b) -3/2 (c) m (d) 0.02 b Let s = 59 - 56. Let u be (9/(-3))/(3/(-4)). Let d = -3 + u. Which is the second smallest value? (a) s (b) 4 (c) d a Let i = 71 - 71.6. Let o = i + -0.6. What is the biggest value in 4, -4/9, o? 4 Let d = -0.6 - 21.4. Let m = 21.7 + d. Which is the biggest value? (a) -0.4 (b) m (c) 1 c Let d(u) = 8*u**2 - 6*u + 2. Let o be d(2). Let k be o/(-8) - 2*4/(-4). What is the smallest value in 5, 2/9, k? k Let q be -5 - (1 + 1 + 52/(-12)). Which is the smallest value? (a) 2/9 (b) -4 (c) -0.4 (d) q b Let z = -0.722 - -0.822. What is the biggest value in z, -2, 1/2, 5? 5 Suppose 18 = 3*u + 2*m, -4*u + 435*m + 24 = 432*m. Which is the biggest value? (a) 0 (b) 5 (c) 0.4 (d) u d Let c = -4.4 - -4. Let q(l) = -l**2 - 18*l. Let t be q(-18). Suppose -3*x + 0 - 6 = t. What is the second smallest value in c, x, -0.5? -0.5 Let j be 14/4 + (9 - 5) + -8. What is the second smallest value in -1, 1/10, j? j Suppose 0 = -3*d - 2*p - p - 15, 0 = -2*d + 4*p + 8. Let m be 4/(-8)*1/((-2)/8). Which is the second smallest value? (a) d (b) m (c) -2/19 c Let m be 92/24 + (-2 - 10/5). What is the fourth smallest value in -1/4, -0.5, m, 22? 22 Let s = -0.51 - -0.01. Let y be 1488/8 - (0 + 3). Let p be 3 + (-2)/(126/y). Which is the smallest value? (a) p (b) s (c) 0.1 b Let z = -643 + 640. Which is the fourth smallest value? (a) z (b) 0.3 (c) -4 (d) 3 d Let q = -0.0882 + 0.4882. Let t = 3 + -2.99. What is
{ "pile_set_name": "DM Mathematics" }
g. Let p be j(-1). Sort p, b, -3 in descending order. b, -3, p Suppose g + 3 = -m, g + 0*m - 5 = m. Let n = -2 + g. Sort n, 2, -5. -5, n, 2 Let g = 1 - -4. Let l be 0 + 1 + 3 + -3. Let u(a) = a**3 + 9*a**2 + a + 6. Let s be u(-9). Sort g, s, l in decreasing order. g, l, s Suppose -2*a - 2*a + 24 = 0. Suppose 8 = -a*k + 2*k. Let w be 0*2/(-4) - 1. Sort k, w, 3 in ascending order. k, w, 3 Suppose l - 24 = -3*l. Suppose 9 = 5*o - l. Put -2, o, 2 in decreasing order. o, 2, -2 Suppose z - 1 = 0, a + 3*z = -4*a - 22. Sort a, 4, -2 in descending order. 4, -2, a Let d = 24 + -22. Sort -0.4, -0.6, d. -0.6, -0.4, d Let s be (-24)/10 - (-8 + 6). Put s, 0, -0.2 in ascending order. s, -0.2, 0 Suppose l + 3*t + 3 = 0, 3 + 1 = -4*t. Suppose g = -3 - l. Let z be (5/(-3))/((-1)/g). Sort z, 0, -0.1 in increasing order. z, -0.1, 0 Let t = 4 - 1. Suppose 32 = 4*z + 3*m, -7*z + t*z + 8 = -3*m. Put z, 0, 3 in decreasing order. z, 3, 0 Let d = 4 + -6. Sort 1, d, 5 in descending order. 5, 1, d Let l(j) = j**3 + 4*j**2 - 4*j. Let f be l(-5). Put f, 3, 4 in decreasing order. 4, 3, f Let p = -6 - -10. Suppose p*k = -5*u, 4*u + 0*u + 3*k = -1. Put 1, u, 2 in decreasing order. 2, 1, u Let y(z) = -z**2 + 6*z + 7. Let i(t) = -t**3 - 11*t**2 + t + 9. Let p be i(-11). Let b be 3*p/(-3) + 5. Let s be y(b). Put -5, -3, s in descending order. s, -3, -5 Let j = -3.1 + 0.1. Let n = 1 - 1. Let q = -3/83 + 421/166. Sort n, q, j in decreasing order. q, n, j Suppose 3*v - 12 = -v. Let h(z) = -z**3 - 4*z**2 - 3. Let i be h(-4). Sort v, -6, i in increasing order. -6, i, v Let t(w) = 3*w**2 + 10*w - 7. Let n(g) = -4*g**2 - 11*g + 7. Let f(o) = -2*n(o) - 3*t(o). Let j be f(-9). Put 3, j, -3 in descending order. 3, j, -3 Let p = 1.6 + -1.7. Put -2, -2/21, p in ascending order. -2, p, -2/21 Let h(w) = -w + 2. Let d be h(2). Let r(i) = -3*i - 12. Let z be r(-3). Sort 2/19, z, d in decreasing order. 2/19, d, z Let w(d) = 4*d**3 + 2*d**2 - 2*d. Let m be w(1). Sort m, 0, -4 in descending order. m, 0, -4 Let t = 0.03 - 0.43. Let f = 3 + -4. Put f, -4/5, t in decreasing order. t, -4/5, f Suppose -x + 5 = -5*p + 34, 2*x - 5*p = -33. Put x, 5, -3 in descending order. 5, -3, x Let c = -8 - -8.99. Let f = c - -0.01. Let d = f + 1. Sort -4, 5, d in ascending order. -4, d, 5 Let r(n) = 2*n**2 - 2 + n**3 - n**2 - 2*n + n**2 + 0*n**2. Let q be r(-2). Sort 3, q, 4. q, 3, 4 Suppose l = -6 + 22. Suppose -l = 4*u - 4. Suppose 3*j + 4*p + 18 = 0, -6 = -2*j - j + 4*p. Put 1, j, u in descending order. 1, j, u Let o = 41 + -122/3. Put o, 0.5, 0 in decreasing order. 0.5, o, 0 Let r = -159 + 156. Put 3/5, -5, r in increasing order. -5, r, 3/5 Suppose -4*w = -x + 8, -w + 2 = -3*x + 4. Let a(d) = d - 1. Let m be a(w). Let n be (2/(-6))/(1/1). Sort m, 1/4, n in descending order. 1/4, n, m Let z = -6 + 13/2. Let p = -1.03 + 0.03. Put -4, p, z in decreasing order. z, p, -4 Suppose 0 = -4*g + 8, 2 = 4*n + 4*g - 22. Sort -1, n, 6. -1, n, 6 Let y = 0 + 0.3. Let b = y - 0.3. Let n = 0 + 3. Put b, n, -2/11 in decreasing order. n, b, -2/11 Let y be 3 + (-14)/(-1 + -1). Suppose -y = 2*r - 0*r. Sort 2, -2, r in ascending order. r, -2, 2 Let d = -0.77 - 0.03. Let w = d + 1.8. Sort w, 2, 5. w, 2, 5 Let c = 17.3 - 7.3. Let p = 5 + -5.5. Sort c, 2/13, p in ascending order. p, 2/13, c Let q(h) = -h**3 + 6*h**2 + 7*h - 4. Let r be q(7). Let f be r*1*(-2)/(-4). Put f, 2, 0 in increasing order. f, 0, 2 Let h = -169 - -166. Put 5, 9, h, 1 in increasing order. h, 1, 5, 9 Let n(z) = z**2 - 11*z + 12. Let y be n(10). Suppose 3*u - 5*u = -2*d + 36, -4*u - 58 = 3*d. Put y, 4, u in ascending order. u, y, 4 Suppose -3*i - 20 = i. Put i, 5, -2 in decreasing order. 5, -2, i Let k be (-2 - -5)*(-13)/39. Sort 5, k, -4, -5 in ascending order. -5, -4, k, 5 Let z be ((-6)/(-16))/((-1)/2). Put 2, z, -0.4 in decreasing order. 2, -0.4, z Let y(l) be the second derivative of l**3/2 + 5*l**2 - 7*l. Let n be y(-3). Put 3, n, -5 in descending order. 3, n, -5 Let d(c) = -2*c + 1. Let n be d(3). Let a = 190 + -2468/13. Put a, -3, n in decreasing order. a, -3, n Let w = 5.93 - 5.53. Let k = -0.5 + 3.5. Put k, 0.2, w in decreasing order. k, w, 0.2 Let j be ((-5)/(-10))/(1/4). Suppose -4*b + 4*h - 20 = 0,
{ "pile_set_name": "DM Mathematics" }
+ 2*sqrt(171) + sqrt(171) - sqrt(171))**2 + 3. 3*sqrt(19) + 1542 Simplify (sqrt(11) + sqrt(396)*-3 - -3*sqrt(176))**2. 275 Simplify sqrt(51)/(sqrt(12)*1 - sqrt(12) - sqrt(3)). -sqrt(17) Simplify (3 + (-2 + sqrt(50))**2*-4)*-1. -80*sqrt(2) + 213 Simplify (-1 + (sqrt(21) - (sqrt(21) + 1*sqrt(21)))/sqrt(3)*-3)**2. -6*sqrt(7) + 64 Simplify 2*sqrt(13) + 2 + 2*(sqrt(208))**2. 2*sqrt(13) + 418 Simplify ((sqrt(85)*1 - sqrt(85))*-6)/(2*sqrt(180))*1. 0 Simplify (sqrt(637) + -3*sqrt(637) - (1 + sqrt(1872)))**2. 52*sqrt(13) + 8789 Simplify (-4 + sqrt(2736))*4*-3. -144*sqrt(19) + 48 Simplify ((-2*sqrt(25)*5)/sqrt(5))**2. 500 Simplify (sqrt(88)*1*1 - sqrt(88))/sqrt(8). 0 Simplify ((sqrt(153) - (sqrt(153)*1 - sqrt(153)))*4)/(1*sqrt(9)*6) + 5. 2*sqrt(17)/3 + 5 Simplify (4 + 2 + sqrt(304) + -1 + -5)**2. 304 Simplify (5 + -1*sqrt(5))**2 + (sqrt(20) + -2)**2. -18*sqrt(5) + 54 Simplify (((3*sqrt(135) - sqrt(135)) + sqrt(135))/sqrt(9))/(-4*(2*sqrt(3) - sqrt(3))). -3*sqrt(5)/4 Simplify ((sqrt(17) - (0 + sqrt(17)))*3 + 0)*-4. 0 Simplify ((sqrt(11) + 1*sqrt(176))**2 - (sqrt(11) - (-2*sqrt(11) + -2))) + (sqrt(44) + 1 - (5 + sqrt(44)/sqrt(4))). -2*sqrt(11) + 269 Simplify (-5*-1*sqrt(136))/sqrt(8). 5*sqrt(17) Simplify (sqrt(96) - (sqrt(96) - -2*sqrt(96)))/sqrt(3). -8*sqrt(2) Simplify (sqrt(70)/(sqrt(10) - (sqrt(20)/sqrt(2) + sqrt(10))) - 6*sqrt(63))**2. 2527 Simplify (sqrt(187)*-1*6 - sqrt(187))/(sqrt(44)/sqrt(4)*-2). 7*sqrt(17)/2 Simplify -5*sqrt(256)/(-1*sqrt(512)). 5*sqrt(2)/2 Simplify (3*sqrt(140))/(sqrt(112)*-2 + sqrt(7)). -6*sqrt(5)/7 Simplify 1*-1*(-1 + sqrt(11)). -sqrt(11) + 1 Simplify -2*sqrt(432)*4*-1. 96*sqrt(3) Simplify (-2 + sqrt(13) + 2)**2 - (2 + sqrt(832) + sqrt(832)). -16*sqrt(13) + 11 Simplify (1*sqrt(52)/sqrt(4) + (sqrt(78) - (sqrt(78) + sqrt(78)*-1))/sqrt(6))**2. 52 Simplify (sqrt(11) + (sqrt(11) + 0)*-3 - (0 + sqrt(11)*1)) + (sqrt(1100)*2)**2 + -1. -3*sqrt(11) + 4399 Simplify ((sqrt(16) - sqrt(160)/sqrt(360))/((sqrt(72)/(sqrt(9) - sqrt(144)) - sqrt(8)) + sqrt(8)))**2. 25/2 Simplify -4*((sqrt(304) - sqrt(304)*-2) + -2)*-4. -32 + 192*sqrt(19) Simplify 5*((sqrt(1331) + -3 - sqrt(1331)) + sqrt(11) + sqrt(11))*5. -75 + 50*sqrt(11) Simplify (sqrt(343) + -5 - (sqrt(77)*1)/sqrt(11))**2. -60*sqrt(7) + 277 Simplify -1 + ((-2*sqrt(272) - sqrt(272))*3*5)**2. 550799 Simplify 1*(-4*sqrt(176))**2. 2816 Simplify (sqrt(16)/sqrt(128)*3)**2. 9/8 Simplify sqrt(49)/(2*sqrt(112)). sqrt(7)/8 Simplify (sqrt(448) + sqrt(448) + -4*sqrt(448) + 3 + 5)**2. -256*sqrt(7) + 1856 Simplify 5*sqrt(38)/((sqrt(14)*1)/sqrt(7)). 5*sqrt(19) Simplify sqrt(396) + sqrt(396) + -1 - sqrt(11) - -6*sqrt(396). -1 + 47*sqrt(11) Simplify (sqrt(72)/sqrt(4) + -4 + sqrt(72))**2. -72*sqrt(2) + 178 Simplify (-1*-2*(sqrt(3) + sqrt(9)/sqrt(3)))**2. 48 Simplify 5*(sqrt(128) + sqrt(128) + 0). 80*sqrt(2) Simplify (6*(sqrt(51) - sqrt(1275)))/(-1*sqrt(363)). 24*sqrt(17)/11 Simplify 1 + (sqrt(153) - (sqrt(153) + (sqrt(153) - sqrt(153)*2))*1)/(1*sqrt(144)). 1 + sqrt(17)/4 Simplify (-3 + (-2*(2 + sqrt(13)) - (sqrt(208)*-4 + sqrt(13))))**2. -182*sqrt(13) + 2246 Simplify 4 + 4 + sqrt(108) + -2. 6 + 6*sqrt(3) Simplify sqrt(1700) - -5*1*sqrt(1700). 60*sqrt(17) Simplify (-1 + sqrt(77)/(sqrt(11) - (sqrt(11) - (2*sqrt(121) + sqrt(121) + sqrt(121))/sqrt(11) - sqrt(11)) - sqrt(11)))**2. -sqrt(7)/2 + 23/16 Simplify sqrt(78)/(sqrt(36)/sqrt(6)*4). sqrt(13)/4 Simplify (5 + sqrt(13) + (sqrt(13) + -5)*6 + sqrt(13))**2. -400*sqrt(13) + 1457 Simplify (sqrt(68) + sqrt(68) + (sqrt(68) - (1*sqrt(68) - sqrt(68))*-1))/sqrt(4). 3*sqrt(17) Simplify 3*(sqrt(576)*-2)/sqrt(8). -36*sqrt(2) Simplify ((sqrt(72) + -1*sqrt(72))/sqrt(3))/sqrt(12). 0 Simplify (sqrt(156) + sqrt(156)*2)/sqrt(12) + (2 + sqrt(117))**2. 15*sqrt(13) + 121 Simplify sqrt(10)/(sqrt(20)/sqrt(4)) + -2*sqrt(4)/sqrt(2). -sqrt(2) Simplify (-5*sqrt(48)/sqrt(4))/(sqrt(64) + sqrt(64)*-1 + sqrt(64)). -5*sqrt(3)/4 Simplify ((sqrt(28)/sqrt(7)*1)/sqrt(2)*-4)**2. 32 Simplify (3*sqrt(320))**2*2*2. 11520 Simplify (-4*sqrt(153)*-2)/(sqrt(81)*-2). -4*sqrt(17)/3 Simplify -1*((5*(sqrt(98) + -1))**2 + 5). -2480 + 350*sqrt(2) Simplify -3 + sqrt(459)/sqrt(3). -3 + 3*sqrt(17) Simplify 4*sqrt(77)/(sqrt(175) + sqrt(7) + sqrt(7)). 4*sqrt(11)/7 Simplify (5*((sqrt(13) + 2 + sqrt(13))*5 - ((sqrt(117) + -2*sqrt(117) - sqrt(117))/sqrt(9) + sqrt(13))))**2. 5500*sqrt(13) + 41825 Simplify 5*(sqrt(5) - sqrt(25)/sqrt(5)) - (4*sqrt(5) + 1). -4*sqrt(5) - 1 Simplify 2 + (5 + sqrt(7) + sqrt(175) + sqrt(7) + -3)**2.
{ "pile_set_name": "DM Mathematics" }
-1). Suppose h + 0*h = z. Let u(m) = 8*m - 53. Let y(s) = -3*s + 18. Let a(v) = 4*u(v) + 11*y(v). What is a(h)? -14 Let p(a) = 1. Let v(d) = 2*d + 11. Let u(l) = -2*p(l) + v(l). Give u(8). 25 Let x(r) = r**2 - 15*r + 20. Let f(u) = -2*u**3 + 24*u**2 + 2*u - 12. Let s be f(12). Give x(s). -16 Suppose 2*w + 5*v - 110 = -2*w, -w - 2*v = -26. Suppose 5*k = 2*k - w. Let i = 8 + k. Let x(g) = -4*g. What is x(i)? 8 Suppose 3*y + 4 = 2*n, 8*y + 20 = 3*y. Let g(u) = 142*u - 42*u - 48*u + 5 - 49*u - 9. What is g(n)? -16 Let a(x) = -3*x + 30. Let q be a(9). Suppose c + q*c - 2*n = -22, 4*n = 5*c + 26. Let p(i) = 4 - 8*i + 3*i + i**2 - 2*i**2. What is p(c)? -2 Let m(s) be the third derivative of s**6/120 - 2*s**5/15 + 5*s**4/24 + s**3/6 - 47*s**2 + 1. Give m(6). -41 Let b(r) = 4*r - 4. Suppose 15*z - 12*z = 15, 3*w + 6 = -3*z. Give b(w). -32 Let p be (-1)/(-4) - 1684/16. Let y be (-52)/10 + (-21)/p. Let l(h) = -2*h**2 + 6*h - 2. Let t(f) = f**2. Let s(j) = -l(j) - 3*t(j). What is s(y)? 7 Let c(o) = -o + 5. Let l(t) = -3*t + 16. Let m(w) = -14*c(w) + 4*l(w). Determine m(-5). -16 Let t(m) = -m**3 - 6*m**2 - m - 5. Let v(i) = -5*i + 2. Let s be (-1)/4 + 60/(-16). Let u be v(s). Suppose -8 = 5*n + u. Give t(n). 1 Let f(m) be the second derivative of m**5/20 + 5*m**4/12 + m**3/2 + 5*m**2 - 55*m. Calculate f(-5). -5 Let f = 271 + -269. Let i(t) = t**3 - 2*t**2 - 3*t + 3. What is i(f)? -3 Let b(n) be the third derivative of -n**6/120 + n**5/20 + n**4/8 - n**3/6 - n**2. Let a(t) = t**3 + 3*t**2 - 3*t - 5. Let p be a(-3). Calculate b(p). -5 Suppose -2*f - 185 = -49. Let l = f + 59. Let y(q) = -q**2 - 8*q + 10. Give y(l). 1 Let r(v) = -23*v + 6. Let d(p) = -41*p + 11. Let u(y) = -4*d(y) + 7*r(y). Give u(-1). -5 Let s(o) be the third derivative of -o**5/12 + o**4/4 + o**3 + 27*o**2. Let c(h) = 6*h**2 - 6*h - 7. Let p(k) = -4*c(k) - 5*s(k). Calculate p(7). 5 Let x(s) = 2*s - s - 11*s + 39 + 122*s**2 - 113*s**2 - 15 - s**3. What is x(8)? 8 Suppose 13*q - 14*q - 6 = 0. Let s(p) = -p**3 - 5*p**2 + 6*p - 13. What is s(q)? -13 Let b be (2/2)/((-4)/(-12)). Let h(j) = j**2 - 5 + 4*j + b + 1 + 6. Determine h(-4). 5 Let t(y) = -9*y**2 + 2*y + 1. Let n(g) = -g**2. Let u = -23 + 29. Let h(i) = u*n(i) - t(i). What is h(-1)? 4 Let m(d) = d**3 - 5*d**2 + 3*d. Let q(x) = -6 - 13*x + 28 + 16*x. Let t be q(-6). Give m(t). -4 Let a be 4 + -4 + ((-6)/(-1))/3. Let w(x) = -451*x + 451*x + 4*x**3 + 1 - a*x**2. What is w(-1)? -5 Let z(h) = 4*h - 735 + 5*h + 775 - h**2. What is z(12)? 4 Suppose -15*d + 21*d = -18. Let k(w) = 3*w - 1. Calculate k(d). -10 Let j(m) = 3*m - 16. Let p(a) = -4*a**2 + 17*a - 10. Let w be p(3). Calculate j(w). -1 Let l(o) = o**3 + 14*o**2 + 11*o - 24. Let g be (-1)/((159/39 + -4)/1). What is l(g)? 2 Let o = 104 - 106. Let b(y) = 7*y**2 - 2. What is b(o)? 26 Let v(o) = -o + 2. Let d(n) = n - 3. Let g(x) = 7*d(x) + 6*v(x). Calculate g(9). 0 Let z(f) = -f**2 - 33*f - 58. Let h be z(-2). Let a(i) = 2*i**2 - 8*i + 9. Determine a(h). 9 Let f(w) = 1359 + 5*w**2 - w**2 - 1361. Determine f(-2). 14 Let y(p) = 9*p**2 - 2*p - 5. Let h(r) be the second derivative of -5*r**4/6 + r**3/2 + 3*r**2 - 4*r. Let k(g) = 4*h(g) + 5*y(g). Determine k(1). 6 Suppose 0 = 2*i - 4. Let z(j) = -2*j**i - 4 - 3*j - 4*j + j**2. Determine z(-6). 2 Suppose -41*f + 38*f = -30. Let p(q) = -3*q**2 + 14*q**2 + 2*q - f*q**2 - 5 + 7*q. Determine p(-8). -13 Suppose 18*l - 366 = 79*l. Let u(i) be the first derivative of -i**3/3 - 4*i**2 - 7*i + 1. Determine u(l). 5 Let w = -48 - -97. Suppose -7*d - w = -0*d. Let p(v) be the first derivative of -v**3/3 - 9*v**2/2 - 9*v + 1. Determine p(d). 5 Let v(o) = -o**2 + 8*o - 5. Let u(n) = n**2 + 2*n + 2. Let p be u(1). Determine v(p). 10 Let w(q) be the first derivative of -q**4/4 - 7*q**3/3 - 9*q**2/2 - 9*q - 1. Let o(h) = -2*h**2 + 10*h + 6. Let i be o(6). Give w(
{ "pile_set_name": "DM Mathematics" }
ound g to 3 decimal places. -0.093 Let o be 2 + -3 - (-15 - 1). Let r(g) = -g + 0 - 4 - o + 0*g. Let y be r(-8). What is y rounded to the nearest ten? -10 Let p = -11830165188 + 11830165164.299999436. Let g = p + 23.7. Round g to seven decimal places. -0.0000006 Let m = 7.4 - 2.8. Let x = m - 2.71. Round x to one dp. 1.9 Let q = 211.8379 + -212. Round q to two decimal places. -0.16 Suppose 4*p - 2*f - 4 = 0, 4*p - 5*p + 3*f = 9. Suppose -p*r = -r - 44. Round r to the nearest ten. 20 Let c = -331 + 331.003266. Round c to four dps. 0.0033 Let b = 203771 - -20629. What is b rounded to the nearest one hundred thousand? 200000 Let v = 110 + -108.6. Let a = 1.735 - v. What is a rounded to 2 decimal places? 0.34 Let h = -34 - -33.924. What is h rounded to 1 dp? -0.1 Let o = -3618972 - 9441028. What is o rounded to the nearest one million? -13000000 Let x = -267303.9410108 + 267304. Let u = 6.9410218 + x. Let m = u - 7. What is m rounded to 5 decimal places? 0.00001 Let s(r) = -513*r**3 - 8*r**2 - 15*r. Suppose -4*j + 5*h = -5, 0 = -7*j + 3*j - 4*h - 40. Let c be s(j). Round c to the nearest 10000. 60000 Let g = -3.409 + 3.1216. Let m = g + 0.247. What is m rounded to 2 decimal places? -0.04 Let y(a) be the third derivative of a**5/60 + 5*a**4/24 + a**3 - 16*a**2. Let s be y(-3). Round s to the nearest one million. 0 Suppose 9 = -2*y - 1. Let l = y - -10. Suppose -2*m + l*j = -7587784 - 16412236, -m - 2*j = -11999992. Round m to the nearest 1000000. 12000000 Let u = -1010 - -1009.8642. What is u rounded to three dps? -0.136 Let l be (-1)/(8/(-6)) + (-238)/(-56). Let f be (-10)/35 + l/((-70)/(-51940004)). What is f rounded to the nearest one million? 4000000 Suppose -10*x = -9*x + 4, 3*x + 1980 = 3*u. Let l(w) = 1325*w + 1. Let v be l(1). Let o = v - u. What is o rounded to the nearest 100? 700 Let u = 2986806 - 1686806. What is u rounded to the nearest 1000000? 1000000 Let x = -4176 - -4181.034. Round x to the nearest integer. 5 Let r = -13 - -3. Let x = 14 + r. Suppose -3*u - u = -20, -x*o = 3*u - 5600015. Round o to the nearest one million. 1000000 Let l = -0.32 + -0.1. Let s = l - -0.420009. What is s rounded to five dps? 0.00001 Let h = -312 - -310.935. Let z = 0.9 + h. Round z to two dps. -0.17 Let g(j) = j**3 - 6*j**2 + 7*j - 6. Let i be g(5). Suppose 5*x = -3*s - 82, i*s - 4*x + 86 = x. Let n be ((-6)/s)/(2/16). Round n to 0 dps. 2 Suppose 2*u + 35 = 183. Let x be (25 + -6825)*(-1 - u). Round x to the nearest one hundred thousand. 500000 Suppose 603369735 = 18*p - 206270265. Round p to the nearest one million. 45000000 Let q(j) = 12067*j. Let x be q(10). What is x rounded to the nearest ten thousand? 120000 Let r(w) = -w**2 + 4*w + 3. Let k be r(6). Let v be (-36*2)/(k/(-30)). Round v to the nearest 10. -240 Suppose 84*b + 2421100 = 73*b. What is b rounded to the nearest 10000? -220000 Let c = 18846707.00029 - 18846785. Let l = 78 + c. Round l to five decimal places. 0.00029 Let a = -5627 - -5597.81. Let d = 30.3 - 0.3. Let c = d + a. Round c to one dp. 0.8 Let y = 867 - 867.1327. What is y rounded to two decimal places? -0.13 Let u = -41.2 - 1.8. Let q = -43.00036 - u. Round q to 4 decimal places. -0.0004 Let h = 3146.99993881 + -3147. What is h rounded to five dps? -0.00006 Suppose 4*j + 21 - 5 = 0. Let y(u) = 35999*u - 4. Let l be y(j). Round l to the nearest 10000. -140000 Let q = -56.7555 - -0.7195. Let c = q + 56. Round c to two dps. -0.04 Let o = 1863.99999239 - 1864. Round o to 7 dps. -0.0000076 Let z = -0.06 + 0.05999572. What is z rounded to six dps? -0.000004 Suppose -4*t + 4*k + 19 = -k, 2 = -4*t - 2*k. Let g = t - 3. Let z(a) = -242499*a**2 + 3*a + 2. Let h be z(g). What is h rounded to the nearest 100000? -1000000 Let m = -5 - -7.46. Let j = -3.87 + m. What is j rounded to one decimal place? -1.4 Let g = 10 - 9.7. Let d = g + 9.7. Let x = 10.0000005 - d. Round x to six dps. 0.000001 Let u = -236 + 251.25. What is u rounded to 0 dps? 15 Let f = -1 - -5. Let r be f/6*18/(-12). Let m be (-5 + -20)/(r/(-220)). What is m rounded to the nearest one thousand? -6000 Let y = -1022565.999834 - -1022609. Let j = y - 43. Round j to five dps. 0.00017 Suppose 0 = 5*u - 5, -19*h + 18*h = -2*u - 57029998. Round h to the nearest one million. 57000000 Suppose 0 = 4*n + 5*g + 8, -8 = 4*n - 0*n - 3*g. Let j(f) = 14*f**2 - 4*f - 7. Let h be j(n). Round h to the nearest 10. 60 Let s = -29.048 - -29. Let y = -100.948 - s. Let d = y - -94. Round d to the nearest integer. -7 Let k = -1202 + 4923. Let h = k - 3726.9946. Let w = -6 - h. What is w rounded to three dps? -0.005 Let i be -3 + (0 - -2) + -1 - -52. Suppose i - 250 = -4*r. Round r to the nearest integer. 50 Let s = -34847088.99000061 + 34847088. Let r = 0.99 + s. What is r rounded to seven dps? -0.0000006 Let m = -34.9 + 35. Let d = -1 + m. Round d to 1 dp. -0.9 Let k(y) = -576*y**3 - 31*y**2 - 27*y - 106. Let n be k(-19). Round n to the nearest one
{ "pile_set_name": "DM Mathematics" }
at is the units digit of y? 6 Let r(j) = j**3 - 14*j**2 + 5*j + 1. What is the units digit of r(14)? 1 Suppose n = 5*r - n + 45, 3*r = 5*n - 46. Let w(y) = y**2 + 8*y + 9. What is the units digit of w(r)? 2 Let u(l) = l - 6. Let p be u(10). Suppose p*m + 52 = 3*n, 4*n - 52 = 2*m - m. What is the units digit of n? 2 Suppose -5*y + 110 = -7*i + 2*i, 0 = -4*y - 3*i + 53. What is the tens digit of y? 1 Let l = -135 - -235. What is the tens digit of l? 0 Suppose c = -4*c + 415. What is the units digit of c? 3 Let z be 10*1 + (1 - -1). Suppose 0 = 2*q - 4*m + z, 0 = 3*q - m - 5 - 2. What is the units digit of q? 4 Let g be ((-4)/(-3))/(2/(-24)). Let b be (3/(-4))/(4/g). Suppose 21 = x + b. What is the units digit of x? 8 Let z(k) = k**3 + 14*k**2 - k. Let n be z(-14). Suppose -o = -3 - n. What is the units digit of o? 7 Let z(s) = -3*s**3 - s**2 + s + 1. What is the units digit of z(-1)? 2 Let a(r) = r**3 - r**2 - 3*r + 6. Let v(c) = c**3 - 4*c + 7. Let x(f) = -5*a(f) + 4*v(f). What is the tens digit of x(3)? 1 Let s be 6/27 - 48/(-27). Let a be s + -2 + 1 - -2. Let g = a - -1. What is the units digit of g? 4 Let v(x) = -x**2. Let p be v(0). Let g(u) = u**2 - 8 + 20 + 0*u**3 + u**3. What is the units digit of g(p)? 2 Let y(p) = p**3 + 7*p**2 + 6*p + 1. Let l be y(-4). Suppose -2*o + l = 3*o. What is the units digit of o? 5 Let b be 0/(-1) + 3 + -1. Let d(o) = 2*o**3 + o**2 - 2*o. What is the units digit of d(b)? 6 Let r = 290 - 131. What is the hundreds digit of r? 1 What is the hundreds digit of 238 + 3/(-1) + 5? 2 Let x(i) = 8*i + 1. What is the units digit of x(4)? 3 Let a(j) = j**2 + 2*j - 3. Let f be a(2). Suppose m - 29 + 1 = -3*x, 0 = f*m + 5*x - 110. What is the tens digit of m? 1 Suppose 4*o = 4*v - 28, 7 = 2*v + 1. What is the units digit of 1/4 - 23/o? 6 Let k = 10 + -5. What is the units digit of ((-1)/(-3))/(k/60)? 4 Let g(r) = r**3 - 3*r**2 - 5*r + 6. Let u be g(4). Suppose 2*l - 4*p = 20 - 4, u*p = 5*l - 24. What is the units digit of l? 4 Let p be (-84)/(-8)*4/(-3). Let o = p - -18. What is the units digit of o? 4 What is the tens digit of (6/(-10))/((-6)/450)? 4 What is the units digit of (-3)/(-9) - (-344)/12? 9 What is the tens digit of 4/(-10) + 531/15? 3 Let d = 8 - 8. Suppose -2*m + 7*m - u - 135 = d, -3*u - 13 = -m. Let q = m + -18. What is the units digit of q? 0 Suppose 5*k + s - 601 = 0, 5*k = 3*k - s + 238. What is the units digit of k? 1 Suppose -314 = -2*c - 5*f, 2*c - f - 306 = -2*f. What is the hundreds digit of c? 1 Suppose -9*p - 591 = -12*p. What is the hundreds digit of p? 1 Let g(m) = 2*m**2 + 7*m + 3. What is the units digit of g(7)? 0 Let s(n) = 68*n + 3. What is the tens digit of s(1)? 7 Let o(t) = -3*t**2 - 3*t + 3. Let l(p) = -2*p**2 - 4*p + 4. Let r(g) = 4*l(g) - 5*o(g). Let a be r(1). Let w = a + 3. What is the units digit of w? 0 Let a(r) = -9*r - 8. What is the units digit of a(-6)? 6 Let k(d) = -d**3 - 11*d**2 - 11*d - 1. Let i be 13*2*(-2)/2. Let a = -36 - i. What is the units digit of k(a)? 9 Suppose -2*b + 5*b = 291. What is the units digit of b? 7 Suppose -n - 1 - 3 = 0. Let x(m) be the second derivative of -m**5/20 - m**4/3 + 5*m**2/2 + 2*m. What is the units digit of x(n)? 5 Suppose 6*v = v - 10. Let o(n) be the first derivative of 2*n**3/3 + n**2 + n - 2. What is the units digit of o(v)? 5 Suppose 3*b = 4*x - 581, -5*x - 3*b - 2*b = -735. What is the hundreds digit of x? 1 Suppose 5*x + 11 = 4*z + 4*x, -4 = 4*z - 4*x. Suppose 8*q - 3*q - 3*n = 81, 0 = -z*q + 5*n + 70. What is the tens digit of q? 1 Suppose -4*p - 560 = -2*l, 4*p - 4*l = -340 - 228. What is the units digit of (6/9)/((-4)/p)? 3 Suppose c - 11 = -2*c + 5*o, -c + 5*o - 3 = 0. What is the units digit of c? 7 Suppose 2*g + 0*g - 34 = 0. Suppose -g = -0*i - i. What is the units digit of i? 7 Suppose -2*x + 4 = 2*h, -3*h + 0*x + 2*x + 11 = 0. Suppose 0 = 3*t + 5*o - 32, -4*t + h*o + 42 = t. What is the units digit of t? 9 What is the tens digit of 2 + -19*(-4 + -3 + 2)? 9 Suppose -4*z = -62 + 10. What is the units digit of z? 3 Let d = -11 + 15. What is the units digit of d/((-8)/5)*-2? 5 What is the hundreds digit of 0 - 1 - 18*14/(-2)? 1 Let b = -3 - -5. Suppose -b*t - t = 24. What is the units digit of 9/(-2)*t/6? 6 Let q be (-1 - -1)/(-3 + 4). Suppose -6 + q = -x. What is the units digit of x? 6 Suppose 2*j - 7 = n, 2*j - 1 - 10 = 5*n. What is the units digit of 1 + 40/(j + 1)? 1 Suppose -2*a = 3*a - 10. What is the units digit of a? 2 Let k = -2 - -2. Suppose -7*j + 2*j - 10 = k. What is the units digit of (21/(-6))/(1/j)? 7 Let i = -35 + 96. What is the tens digit of
{ "pile_set_name": "DM Mathematics" }
in the form s*n + y*n**2 + p and give y. -16 Express 12 - 5 + 3*j**4 + 38*j**2 + 19*j**2 - 31*j**2 - 2*j**4 in the form s + d*j + g*j**3 + b*j**4 + n*j**2 and give n. 26 Rearrange 48*a + 22*a**3 - 25*a + 6*a**3 - 25*a - 2*a**2 to the form k*a + n + r*a**3 + f*a**2 and give k. -2 Rearrange 10 - 2*x**3 + 4 + x**4 + 12 - 17 + x to d*x**3 + p + z*x**2 + l*x**4 + t*x and give p. 9 Express -47481 - 470*g + 47481 - 1403*g in the form z + a*g and give a. -1873 Rearrange (-1200*d - 1843*d + 3518*d - 1287*d)*(2 - 2 + 2) to f*d + g and give f. -1624 Express (-56*q**4 + 490*q**3 - 490*q**3)*(12 - 5 + 16 + 5) in the form r*q**3 + z*q**4 + b + m*q**2 + k*q and give z. -1568 Express -35 + 2*n + 60 - 26 - 4*n**3 - 3*n**3 as a + o*n**2 + l*n + k*n**3 and give l. 2 Express -55*w**3 - 2 - 50*w**3 + 51*w**3 - w**2 in the form x*w**2 + p*w**3 + a + o*w and give x. -1 Rearrange -386 - 3907*f**2 + 1954*f**2 + 1954*f**2 to the form b + v*f**2 + p*f and give b. -386 Express 6*i - i + 3*i**2 - 3*i**3 - 7*i in the form k*i**2 + m*i + t + c*i**3 and give m. -2 Express (-1 - 2 + 1)*(0*j + j - 3*j) - 2*j + 0*j + 4*j + (1 - 3 + 1)*(0*j + 101*j - 16 + 19) in the form v*j + n and give n. -3 Rearrange -3*a**4 + 2 - 156*a**3 - 2*a**2 + 73*a**3 + 3*a**4 - 3 - a**4 to the form t*a**3 + s + p*a**4 + v*a + l*a**2 and give l. -2 Express 0*k + 7*k - k + 6*k + 0*k as r + o*k and give r. 0 Rearrange 910*l**3 + 2 - 20*l**2 - 909*l**3 + l - 4 to the form h*l**3 + z*l + s + v*l**2 and give s. -2 Rearrange -2*u - 1319*u**2 + 1314*u**2 + 6*u to the form b*u + w*u**2 + q and give w. -5 Rearrange -34*k**2 + 325*k**2 + 97*k**2 - 6*k**2 to the form r*k + v*k**2 + t and give t. 0 Express -88*r**2 - 56*r**2 - 144*r**2 + 14*r**2 + 10*r**2 in the form c*r + n + f*r**2 and give f. -264 Express (1 - 7 + 2)*(4 + 4 - 5)*(-6 + 2 + 1)*(-1 - l + 1)*(0*l + 2*l - 5*l) as w + k*l + b*l**2 and give b. 108 Rearrange -3*g**4 - 2*g**4 + 5073*g + 4*g**4 + 1 + 145*g**3 - 5072*g - g**4 to the form o*g + x*g**2 + z*g**3 + b + q*g**4 and give q. -2 Express 32 + 44*p - 11 - 21 - p**2 as g*p**2 + r*p + d and give g. -1 Rearrange (0 + 3*s + 6*s**3 - 3 + 1)*(-9 + 21 + 34) to n*s + x + q*s**2 + k*s**3 and give k. 276 Express (-7*f - 5*f + 4*f)*(0*f - 11*f + 0*f)*(-f - 2*f**2 + f) in the form r*f + j + w*f**4 + b*f**2 + s*f**3 and give w. -176 Express 39665 - 39665 - 276*y as j + k*y and give k. -276 Rearrange (-4*l**2 - 1 + 1 - 11*l**2)*(2*l - 1 + 1)*(-4 + 20 + 55) to the form t + x*l + r*l**2 + f*l**3 and give x. 0 Rearrange -52 + 5*h**2 + 2*h**3 - 33 + 84 - 2*h to the form f + i*h**3 + x*h**2 + r*h and give x. 5 Rearrange (3*m + 3*m - 2*m)*(-189 + 90 - 942) to the form a + z*m and give z. -4164 Rearrange 13*d + 15*d + 51*d + 31*d to the form n + s*d and give s. 110 Rearrange (-5*j + 4*j + 2*j)*(0*j - 3*j - 18*j) + (-j**2 + 0*j**2 - 3*j**2)*(1 + 1 - 5) - 3*j + j**2 + 3*j to z + t*j + y*j**2 and give y. -8 Express 4*q**2 - 14 - q**4 - 2*q**2 - q + 13 - 4*q**2 + 7*q**3 in the form h*q + o + s*q**3 + a*q**4 + w*q**2 and give w. -2 Rearrange 3*c**3 - 22*c**2 + 3*c**2 - 558*c + 19*c**2 to the form w*c**2 + n + x*c + v*c**3 and give x. -558 Rearrange -3*h**2 + 3*h**2 + 0*h**2 + 68*h**3 + 2*h**2 - h**2 to g*h**3 + d*h**2 + j*h + y and give g. 68 Rearrange -2 + 6*h**3 + 27*h**3 - 6*h**2 + 111*h**4 + 5*h**2 - 112*h**4 + 3*h**2 to q + a*h + p*h**4 + s*h**2 + w*h**3 and give p. -1 Rearrange (-4 - 340*j**2 - 759*j + 2 + 342*j**2)*(-1 - 3 + 2) to q + d*j**2 + l*j and give d. -4 Rearrange 474*w + 1315*w + 549*w - 355*w to s + o*w and give o. 1983 Express 157*d**2 - 6*d**3 - 17 - 5*d + 5*d - 157*d**2 in the form h*d**3 + s + m*d + o*d**2 and give h. -6 Rearrange 8*n + 603 - 1188 + 598 + 0*n to c + i*n and give i. 8 Rearrange (37 + 37 + 11 + 6)*(0*a + 0*a + 3*a**4) to the form x*a + q*a**3 + f*a**2 + o*a**4 + p and give f. 0 Rearrange (1 - 722*p + 479*p + 486*p)*(-2 - 2 - 11) to j + q*p and give j. -15 Rearrange 1 + 2*m + 28*m**3 - 83*m**3 + m**4 + 31*m**3 + 28*m**3 to w + d*m**4 + o*m**2 + u*m + s*m**3 and
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from ttttyyyyyd? 1/20 Two letters picked without replacement from vvvcvvvvvvvccvvv. What is prob of picking 2 v? 13/20 Calculate prob of picking 1 v and 1 m when two letters picked without replacement from lolmvml. 2/21 Four letters picked without replacement from aaaaa. Give prob of picking 4 a. 1 Calculate prob of picking 2 i and 2 h when four letters picked without replacement from {f: 2, r: 2, i: 2, h: 8, x: 5, l: 1}. 28/4845 Two letters picked without replacement from nuuzgzng. Give prob of picking 1 g and 1 n. 1/7 Three letters picked without replacement from {e: 2, x: 4, b: 2, h: 3}. Give prob of picking 1 x and 2 h. 4/55 Three letters picked without replacement from rgyymergyyrgg. What is prob of picking 1 y, 1 r, and 1 e? 6/143 What is prob of picking 3 p and 1 q when four letters picked without replacement from {c: 5, x: 3, q: 2, h: 5, p: 4}? 2/969 Calculate prob of picking 4 s when four letters picked without replacement from ssssssssss. 1 Three letters picked without replacement from nrrrnnnn. What is prob of picking 3 r? 1/56 Calculate prob of picking 1 z and 1 i when two letters picked without replacement from sizxv. 1/10 Four letters picked without replacement from qevbvbvnbqrr. What is prob of picking 1 b, 2 v, and 1 q? 2/55 What is prob of picking 1 a, 1 s, and 1 t when three letters picked without replacement from osstlooaluaa? 3/110 Two letters picked without replacement from uqp. What is prob of picking 1 u and 1 q? 1/3 Three letters picked without replacement from aaacccaciccaaia. Give prob of picking 1 i and 2 a. 6/65 Three letters picked without replacement from {u: 3, o: 7, e: 5, i: 2}. Give prob of picking 3 e. 1/68 Two letters picked without replacement from {v: 1, b: 1, c: 9}. Give prob of picking 1 c and 1 b. 9/55 Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {y: 1, q: 4, r: 6, k: 4}. 4/105 Four letters picked without replacement from {f: 2, r: 4, k: 10}. Give prob of picking 3 r and 1 k. 2/91 What is prob of picking 2 b when two letters picked without replacement from bbz? 1/3 Two letters picked without replacement from {s: 14, w: 4}. What is prob of picking 1 s and 1 w? 56/153 Two letters picked without replacement from jjvtttj. Give prob of picking 2 j. 1/7 Four letters picked without replacement from {c: 6, w: 2}. Give prob of picking 3 c and 1 w. 4/7 Two letters picked without replacement from {g: 5}. Give prob of picking 2 g. 1 Four letters picked without replacement from {c: 1, e: 1, s: 1, a: 2, y: 1, l: 1}. What is prob of picking 2 a, 1 s, and 1 c? 1/35 Two letters picked without replacement from {x: 1, v: 2, o: 1}. Give prob of picking 1 o and 1 x. 1/6 Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, u: 3}. 1/5 Two letters picked without replacement from tgtiwdiwwiwwwiw. Give prob of picking 1 i and 1 d. 4/105 Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 6, k: 4}. 8/15 What is prob of picking 2 u when two letters picked without replacement from {b: 6, u: 2}? 1/28 Calculate prob of picking 3 h and 1 b when four letters picked without replacement from berhhrrfhhrhffebhh. 7/306 Two letters picked without replacement from {y: 3, l: 7, i: 3, a: 7}. Give prob of picking 2 a. 21/190 Two letters picked without replacement from qqmq. Give prob of picking 2 q. 1/2 Calculate prob of picking 1 y, 1 l, and 1 d when three letters picked without replacement from dytttddtylyyyy. 9/182 Four letters picked without replacement from {o: 3, k: 6, x: 1, c: 2, q: 1}. What is prob of picking 1 k, 2 c, and 1 q? 6/715 Two letters picked without replacement from {a: 1, y: 1, f: 1, o: 2, g: 1, l: 2}. What is prob of picking 1 y and 1 f? 1/28 Three letters picked without replacement from {d: 1, e: 2, z: 1, k: 2, h: 1}. Give prob of picking 1 z and 2 k. 1/35 Calculate prob of picking 2 y when two letters picked without replacement from {w: 1, y: 6, o: 5, v: 2, e: 1}. 1/7 What is prob of picking 1 w and 3 u when four letters picked without replacement from {w: 10, u: 4}? 40/1001 Two letters picked without replacement from {t: 2, b: 4, y: 2, e: 1, x: 1}. Give prob of picking 1 x and 1 e. 1/45 Two letters picked without replacement from yhhyyxxtthyythxythx. What is prob of picking 1 y and 1 x? 8/57 What is prob of picking 1 f and 2 u when three letters picked without replacement from ufwwfwfwwfwuwuwuw? 3/85 What is prob of picking 1 p and 3 g when four letters picked without replacement from ppppppgppppggpp? 4/455 Four letters picked without replacement from {z: 17, u: 1}. What is prob of picking 3 z and 1 u? 2/9 What is prob of picking 3 w when three letters picked without replacement from dddddowdwdzdwdddddog? 1/1140 Two letters picked without replacement from {x: 7, z: 2, q: 8, d: 1}. What is prob of picking 2 z? 1/153 Two letters picked without replacement from zzzzzzzzzzzzzbzzzzz. Give prob of picking 2 z. 17/19 What is prob of picking 3 m when three letters picked without replacement from {m: 9, i: 5}? 3/13 Calculate prob of picking 3 o when three letters picked without replacement from okkoooo. 2/7 Four letters picked without replacement from {s: 6, t: 3, c: 3, r: 5}. Give prob of picking 1 t, 1 s, and 2 c. 27/1190 Three letters picked without replacement from {u: 7, c: 4, v: 1, q: 6}. Give prob of picking 2 q and 1 v. 5/272 Two letters picked without replacement from {z: 8, u: 1, g: 1, x: 2, y: 3, h: 1}. Give prob of picking 1 g and 1 h. 1/120 Two letters picked without replacement from ooxtoxtttxxxoo. Give prob of picking 2 x. 10/91 What is prob of picking 2 y and 1 u when three letters picked without replacement from unyuuuuuu? 0 Three letters picked without replacement from {a: 4, b: 1, r: 2}. What is prob of picking 1 a and 2 r? 4/35 What is prob of picking 4 e when four letters picked without replacement from {e: 6, d: 12}? 1/204 Four letters picked without replacement from wwmmwwmwww. Give prob of picking 3 m and 1 w. 1/30 What is prob of picking 1 m and 2 p when three letters picked without replacement from {k: 1, p: 2, u: 1, f: 1, m: 1, t: 2}? 1/56 Four letters picked without replacement from {m: 2, z: 1, e: 1, x: 1, l: 1, h: 1}. What is prob of picking 1 e, 1 z, 1 x, and 1 h? 1/35 Two letters picked without replacement from yymmymymmm. What is prob of picking 2 y? 2/15 What is prob of picking 1 b, 1 f, and 1 p when three letters picked without replacement from phrbhrkbrfbfhffrhbb? 20/969 Three letters picked without replacement from awdwdaawdwaaadw. What is prob of
{ "pile_set_name": "DM Mathematics" }
z(o). Factor b(w). 2*w*(w - 1) Let u(c) be the third derivative of -c**6/1080 + c**4/72 - c**3/3 - 3*c**2. Let w(f) be the first derivative of u(f). Factor w(l). -(l - 1)*(l + 1)/3 Let h(x) = -16*x**2 + 16*x + 4. Let n(g) = g**2 + g - 1. Let v(j) = -h(j) + 4*n(j). Suppose v(l) = 0. What is l? -2/5, 1 Let f = -315 + 319. Factor -3/5*o**3 + 3/5*o**f + 0*o**2 + 0*o + 0. 3*o**3*(o - 1)/5 Let i = -62380 + 5926042/95. Let w = -4/19 - i. What is m in 6/5*m**5 + 2*m**2 - w*m**3 - 2*m**4 + 0 - 4/5*m = 0? -1, 0, 2/3, 1 Let x be ((-2)/22)/(44/(-242)). Let -x + f - 1/2*f**2 = 0. Calculate f. 1 Suppose -4*k + 9*k = -10. Let u be k - (-7 - 3/(-1)). Suppose 0 - 2/9*o**4 + 0*o - 2/9*o**u + 4/9*o**3 = 0. What is o? 0, 1 Let d = 108/7 + -1390/91. Factor 0*n + 0*n**2 + 0 + 2/13*n**3 + d*n**4. 2*n**3*(n + 1)/13 Let s = 1 - -4. Factor -b**5 + b**4 + 7*b**s + 9*b**4 + 2*b**3 - 2*b**2. 2*b**2*(b + 1)**2*(3*b - 1) Suppose 4*z - 6 = 2*z. Let j be (-2)/8 - z/(-4). Determine c, given that 0*c**2 + j*c + 0 - 1/2*c**3 = 0. -1, 0, 1 Let v(g) be the first derivative of 4*g**3/15 - 16*g/5 - 11. Solve v(u) = 0. -2, 2 Determine v, given that -v**3 + 1/2*v**4 + 2 - 3/2*v**2 + 2*v = 0. -1, 2 Let i = 3 - -3. Let y = i + -3. Factor 8*u**2 + 2*u**2 - 2*u - 6*u**y - 2*u**4 - 4*u**2 + 4*u**4. 2*u*(u - 1)**3 Let y = -44 + 50. Let v(j) be the third derivative of 0*j**y + 0*j**4 + 0*j + 0 - 1/840*j**7 + 0*j**3 - j**2 + 1/240*j**5. Factor v(u). -u**2*(u - 1)*(u + 1)/4 Let c(h) = 3*h**2 + 9*h + 4. Let v(w) = -16*w**2 + 0*w**2 - 1 - 45*w + w**2 - 18. Let u(d) = -11*c(d) - 2*v(d). Factor u(a). -3*(a + 1)*(a + 2) Let n(t) = 5*t**3 - 3*t**2 - 2*t. Let h(a) = -2*a**3 + a**2 + a. Let k = 28 + -14. Let r be k/8*(0 - -8). Let y(b) = r*h(b) + 6*n(b). Factor y(f). 2*f*(f - 1)**2 Let o = -10 + 14. Let b be o*(-2)/(-8)*2. Factor 2*n**3 - n**4 - 7*n - 2*n**2 + 6*n + b*n**4 + 1 - n**5. -(n - 1)**3*(n + 1)**2 Find y such that 5*y**4 - 3*y**4 - 2*y**3 - 98*y**2 + 94*y**2 + y + y**5 + 2 = 0. -2, -1, 1 Let y be (2/7)/((-2)/(-14)). Let o be 9/18*y/5. Let 2/5*n + o + 1/5*n**2 = 0. What is n? -1 Determine l, given that -2/13*l**3 + 0 + 6/13*l**2 - 4/13*l = 0. 0, 1, 2 Suppose -141*p + 127*p = 0. Let -1/3*i**4 - i**5 + i**3 + 1/3*i**2 + 0 + p*i = 0. Calculate i. -1, -1/3, 0, 1 Let d = -61 - -64. Suppose 4/5*h**2 - 2/5*h**d + 0*h + 0 = 0. Calculate h. 0, 2 Let n(s) = s**3 + 13*s**2 - s - 13. Let t be n(-13). Find v such that -1/2*v**2 + 1/2*v + t = 0. 0, 1 Let d(w) = -w**2 + 7*w - 10. Let i be d(4). Factor -k**4 - k**4 + i*k**2 + 2*k**2 - 2*k**2. -2*k**2*(k - 1)*(k + 1) Let j(u) be the third derivative of 0*u - 7/120*u**5 + 0 - 23/48*u**4 - 7*u**2 - 1/2*u**3. Factor j(w). -(w + 3)*(7*w + 2)/2 Factor -1/7 - 1/7*s**2 - 2/7*s. -(s + 1)**2/7 Suppose 5*i - 5 - 5 = -5*x, 0 = 4*i + 2*x - 12. Let b be (10/7)/(i/7). Solve -2*y**2 + 1/2*y**3 - 1 + b*y = 0 for y. 1, 2 Let u(s) be the third derivative of 1/140*s**7 + 0*s - 1/24*s**4 + 1/120*s**6 + 0 + 1/12*s**3 - 1/30*s**5 + 2*s**2. Find l, given that u(l) = 0. -1, 1/3, 1 Let j(c) be the second derivative of -2/3*c**3 - 7/6*c**4 + 0*c**2 + 2*c + 0 - 3/10*c**5. Factor j(g). -2*g*(g + 2)*(3*g + 1) Let g(w) be the second derivative of -w**7/2520 - w**6/360 - w**5/120 + w**4/4 - 4*w. Let h(v) be the third derivative of g(v). Let h(f) = 0. Calculate f. -1 Suppose 6 - 3 = r. Let z be r/((-3)/6*-3). Factor 0 + 2/9*m**z - 2/9*m. 2*m*(m - 1)/9 Factor -8/3*z**3 + 64/3 - 32*z - 20*z**2. -4*(z + 4)**2*(2*z - 1)/3 Suppose 8 = 2*w + 2*w. Suppose w*x - 32 = -2*x. Determine r so that 0 - x + 2*r**2 + 3 + 2*r + 1 = 0. -2, 1 Let r be (-3)/4 + 70/72 + 0. Let -4/9*o**3 + 2/9*o**2 - r + 4/9*o = 0. Calculate o. -1, 1/2, 1 Let q(g) be the third derivative of 1/12*g**4 + 2/21*g**3 + 0 - 1/105*g**6 + 0*g - 1/42*g**5 + 4*g**2.
{ "pile_set_name": "DM Mathematics" }
4785? 5477 What comes next: 1128, 2255, 3382? 4509 What comes next: -72, -117, -178, -261, -372, -517, -702, -933? -1216 What is next in -68, -137, -198, -245, -272, -273, -242, -173? -60 What comes next: 288, 570, 852, 1134, 1416? 1698 What is next in 30, 63, 114, 183, 270? 375 What is next in 4797, 4799, 4801, 4803? 4805 What is next in -6, -49, -120, -219, -346? -501 What comes next: -1069, -1068, -1069, -1072, -1077, -1084? -1093 What comes next: -50, -8, 56, 136, 226, 320? 412 What is next in -137, -133, -127, -119, -109? -97 What is the next term in -347, -343, -339, -335, -331, -327? -323 What comes next: 152, 148, 142, 134, 124, 112, 98? 82 What is next in 508, 499, 490, 481? 472 What is next in -20986, -20985, -20984, -20983? -20982 What comes next: -61, -106, -149, -190, -229, -266, -301? -334 What is the next term in 204, 210, 216, 222? 228 What is the next term in 220, 257, 294, 331, 368, 405? 442 What is the next term in 3185, 6373, 9561, 12749, 15937, 19125? 22313 What comes next: -209, -845, -1903, -3383, -5285, -7609? -10355 What is next in -70, -21, 104, 341, 726, 1295? 2084 What is next in 453, 898, 1339, 1776, 2209, 2638, 3063? 3484 What is next in 258, 259, 260, 261, 262, 263? 264 What is next in 836, 835, 834, 833, 832, 831? 830 What is next in 3154, 3152, 3150, 3148? 3146 What is next in 1228, 1230, 1234, 1240? 1248 What is the next term in -27, -58, -79, -84, -67, -22, 57? 176 What is the next term in -309, -345, -393, -459, -549, -669? -825 What is next in -51, -59, -67, -75, -83? -91 What comes next: -13, -88, -281, -652, -1261? -2168 What is the next term in -67, -92, -147, -244, -395? -612 What is the next term in -47, -180, -409, -740, -1179, -1732? -2405 What comes next: 3, 7, 11, 15? 19 What comes next: -73, -77, -83, -91, -101, -113, -127? -143 What is next in 10, 3, -2, 1, 18, 55, 118? 213 What comes next: 525, 1049, 1573, 2097? 2621 What comes next: 4, 32, 86, 172, 296, 464, 682? 956 What is the next term in -17, -13, -9, -5, -1? 3 What is next in -3, 2, 11, 24, 41? 62 What is the next term in -3, 95, 261, 495, 797? 1167 What is next in 246, 279, 300, 303, 282, 231? 144 What comes next: -26, -84, -166, -260, -354, -436, -494, -516? -490 What is next in 443, 441, 439, 437, 435, 433? 431 What is the next term in 42, 51, 64, 81, 102, 127, 156? 189 What comes next: -94, -101, -112, -127? -146 What is the next term in 42, 208, 484, 870, 1366? 1972 What comes next: 69, 147, 277, 465, 717, 1039, 1437, 1917? 2485 What is the next term in -12, -37, -84, -159, -268, -417, -612? -859 What is next in -146, -1080, -3608, -8528, -16638? -28736 What is next in 5, -23, -71, -139? -227 What is the next term in -477, -463, -451, -441, -433, -427, -423? -421 What is next in -85, -338, -759, -1348? -2105 What comes next: 82, 163, 244, 325? 406 What is the next term in 53, 58, 63, 68, 73, 78? 83 What comes next: 3, 2, 1? 0 What comes next: -67, -63, -59? -55 What comes next: -41, -53, -71, -95, -125? -161 What comes next: 6, 17, 36, 63, 98, 141? 192 What is next in 622, 623, 624, 625, 626, 627? 628 What is the next term in 60, 61, 52, 27, -20, -95? -204 What comes next: 56, 58, 60? 62 What is next in 45, -62, -241, -492, -815, -1210? -1677 What comes next: -1, 32, 111, 254, 479, 804, 1247, 1826? 2559 What is the next term in -382, -763, -1142, -1519, -1894? -2267 What is the next term in 377, 759, 1141, 1523, 1905, 2287? 2669 What is the next term in 631, 619, 603, 583, 559, 531? 499 What is next in 157, 164, 159, 136, 89, 12, -101, -256? -459 What is next in 102, 310, 656, 1140, 1762, 2522? 3420 What is next in 22, 20, 18, 16, 14, 12? 10 What is the next term in 659, 665, 671, 677? 683 What is the next term in 21, 5, -45, -147, -319? -579 What is next in 2278, 2269, 2246, 2203, 2134, 2033, 1894? 1711 What comes next: -194, -380, -578, -794, -1034, -1304, -1610? -1958 What is the next term in 47, 73, 107, 143, 175, 197, 203? 187 What is next in 8, 0, -30, -94, -204, -372, -610, -930? -1344 What is next in -125, -128, -131? -134 What is the next term in 1042, 2083, 3124? 4165 What comes next: 1001, 970, 883, 710, 421, -14, -625? -1442 What is the next term in -1866, -3723, -5580, -7437? -9294 What is next in 41, 47, 33, -7, -79, -189? -343 What comes next: -10, 4, 32, 74, 130, 200? 284 What is next in 6973, 13947, 20921, 27895, 34869, 41843? 48817 What is the next term in -16, -70, -174, -340, -580, -906? -1330 What is the next term in -42, -76, -110, -144, -178, -212? -246 What is next in 45, 99, 153, 207, 261, 315? 369 What is the next term in 500, 1989, 4470, 7943? 12408 What comes next: 12, 95, 252, 483, 788? 1167 What comes next: -128, -246, -356, -452, -
{ "pile_set_name": "DM Mathematics" }
ger: l or 3/7? 3/7 Suppose -5*p + 15 = b + 2*b, 3*p - 2*b + 10 = 0. Let n = -240987581/31 - -7774540. Let o = n + -747. Which is greater: p or o? o Let g(m) = 2*m + 40. Let k be -8*(0 - -2) + (-6 - -2). Let x be g(k). Which is greater: x or -1/87? x Let h(y) = 619*y**2 + 8*y. Let u be h(2). Is u not equal to 1? True Let n = 240617/7 + -205729999/5985. Let t be (-4)/16 - 326/(-1368). Let u = t - n. Is u > -1? True Let n be (1 + -1801*2/(-4))/((-12)/(-104)). Does 7811 = n? False Let d be (20/(-24315))/(24/(-18)). Which is greater: -1 or d? d Suppose 4*y - 16 = 0, 39*s - 37*s + 3*y - 16 = 0. Let o be (-12)/9*(-3)/s - -74. Which is bigger: o or 77? 77 Suppose 0 = -31*c + 287922 - 3373. Let n = 9959216/1085 - c. Do 1 and n have the same value? False Let s(z) = -3*z**3 - 32*z**2 - 13*z + 70. Let o be s(-10). Which is bigger: o or -3.115? o Suppose -2*c = -4, c + 3 = 5*f - 0*c. Let g = -6107/108 + 225/4. Is g bigger than f? False Let z(o) = 6*o**3 - 23*o**2 - 13*o + 47. Let l be z(6). Which is smaller: l or -1.6? -1.6 Let f = 215.2133 + -215. Let q = 9.1833 - f. Let p = -0.03 - q. Which is bigger: p or -2? -2 Let p = 301 - 558. Let q = -257.1 - p. Which is smaller: -117/2 or q? -117/2 Suppose 3*t + 2*k = 10, -5*k + 15 + 10 = 0. Suppose t = 10*w + 7*w - 255. Is w less than or equal to 12? False Let i = 44 + -38. Let f be -4*1/i*-3. Suppose f*v + 3 = 5*y, -y + 4*v + 0*v = 3. Do y and 2/15 have the same value? False Let j(p) = 65*p - 4. Let o be j(2). Let y be o/26 + (-12)/(-78). Let x be (3 + -5)/(y - 3). Which is greater: x or -2/11? -2/11 Let z = -0.80803 + 0.00803. Is z <= -216? False Let j be 1078/(-98) + -1 + (-5 - -1). Let m(s) = -s**3 - 9*s**2 - 8*s - 15. Let i be m(-8). Which is smaller: i or j? j Let q(j) = -2*j - 30. Let t be q(-14). Let n be (-30)/t*(-10)/(-50). Suppose -n*l + 10 = 2*v, -v - 17 = -7*l + 3*l. Is 2/19 greater than v? True Let d = 76619/55 + -1393. Is -32 less than d? True Suppose -y + 2 = 0, 3*y - 1348 = -5*h - 8067. Which is smaller: h or -2? h Let m = 211 - -44. Let t be (-3)/(m/220) + (4 - 2). Is -2 less than t? True Let c = -64 + 63.946. Let m = -13277 + 13278.946. Let h = c - m. Is 2/15 at most h? False Suppose -5*o - 3*a - 47 = 0, 2*a - 7*a = -5*o - 15. Let q be 6/(o - -4) + 8/46. Which is greater: q or -3? q Let m = -8086 + 72868/9. Which is bigger: m or -2? m Let a = 121 + -109. Let k = -10.1 + a. Let u = k - -0.1. Which is smaller: 12 or u? u Let y = -162 + 522. Suppose -4 = -358*p + y*p. Which is greater: 5 or p? 5 Let b = 1080.0523 - 1080. Let z = -21.0523 + b. Which is smaller: -2/13 or z? z Let c be (7/(-3 + 10))/((-15)/5 - -2). Which is smaller: c or -52/657? c Suppose -17972*m + 17968*m - 188 = 2616. Which is bigger: -702 or m? m Let p = -40317/5 - -3991573/495. Which is smaller: 0 or p? 0 Let q be 2 - (9/(-9) + (16 - 1)). Let c be (-4)/(-6) - 7*q/(-126). Is c greater than or equal to 4/3? False Let b be 60 - (-2)/4*6. Let q be ((-2)/(-18))/((-537)/b - -8). Are 1 and q nonequal? True Suppose 0 = -0*c + 2*c + 5*b - 2, 3*c + 4*b = 10. Let p be ((-8)/(-50))/((-930)/(-47275)) + -2. Is p greater than c? True Let z = -6457 + 6455. Which is greater: z or 649? 649 Suppose 55*i - 20 = 50*i. Let w be (26*i/12)/(2/(-9)). Which is bigger: -37 or w? -37 Let o = 1/3704 - -7349/218536. Which is greater: -110 or o? o Suppose -10744 = 2*o + 4*d, -o - d - 1969 - 3407 = 0. Let l = -75353/14 - o. Which is bigger: -2 or l? -2 Suppose -22*m + 6*m = -80. Let x(g) = g**3 + 9*g - 5*g - 21*g**2 + 55 - m - 6*g. Let q be x(21). Is q bigger than 8? False Let z = 4.2 + 303.8. Let y = 305 - z. Let x = 0.13 - 10.13. Is y less than x? False Suppose -3*u - 2*u + 2621 = 3*x, 0 = -4*x + 2*u + 3434. Are x and 863 unequal? True Let d(j) = -39*j - 3. Let s be d(-1). Let r(h) = -7 + 10*h + 6*h - 35*h + 13*h. Let y be r(-7). Which is greater: s or y? s Let x = -2 + 2. Suppose 204*u - 199*u - 150 = x. Is 31 at least as big as u? True Suppose 32*q + 100*q = 0. Is 1/14449 not equal to q? True Let p(j) = 3*j**2 + 42. Let x be p(-12). Let y = -473 + x. Which is smaller: -11 or y? -11 Let w = 444.9177 - -0.0823. Let m = 454 - w. Which is smaller: -3 or m? -3 Let i = -386 + 412. Suppose b = 5*o + 5, i*b - 25*b - 2*o + 10 = 0. Which is greater: b or 0? 0 Let f = 16166863/121 + -133609. Which is bigger: f or 1? f Let a(s) = -6*s - 87. Let y be a(-14). Are 126 and y non-equal? True Let k be -3 - (-1)/((-6)/48). Let d be ((-8)/2)/(4/(-3 - k)). Let h be 3/(9/6)*-2. Is d < h? True Let j = 28
{ "pile_set_name": "DM Mathematics" }
rt(325)*-2 - sqrt(325)) + 5)) + 3. -2 + 10*sqrt(13) Simplify 2 + ((4*-1*sqrt(187))/(sqrt(11) - -2*(sqrt(11) + -1*sqrt(11))))**2. 274 Simplify ((sqrt(275) - (sqrt(275) + sqrt(275) + 1 + -5) - (-5 + sqrt(275) + 1)) + -3 + -5*sqrt(275)*-1)**2. 150*sqrt(11) + 2500 Simplify (sqrt(21)/sqrt(3)*-3 - sqrt(7)) + sqrt(7) + 0 - sqrt(42)/(sqrt(6) + sqrt(726)*2). -70*sqrt(7)/23 Simplify (-2*(4 + 1 + 4 + 1 + sqrt(153) + 3))**2. 312*sqrt(17) + 1288 Simplify ((4*((sqrt(144) + sqrt(144)*-2)/sqrt(6) + sqrt(24)))/((sqrt(132) + sqrt(132)*-1 + sqrt(132))/sqrt(11) - (sqrt(84) - sqrt(84)*-2)/sqrt(7)))**2. 0 Simplify (-5*sqrt(450))/(-5*sqrt(1089) - sqrt(1089)). 25*sqrt(2)/66 Simplify 1*(1*(-3 + sqrt(14)/sqrt(2) + 1 + -1 + 4))**2. 2*sqrt(7) + 8 Simplify 6*((-1*sqrt(19)*1 - (2*sqrt(190))/sqrt(10))*3)**2. 9234 Simplify ((sqrt(132)*1)/sqrt(11))/(sqrt(24)/(1*sqrt(4) + sqrt(4)) + sqrt(6)) - (4 + (sqrt(32))**2*-4 + -4). 2*sqrt(2)/3 + 128 Simplify (-2*-3*(5*(sqrt(108) + 1) - (4 + sqrt(108)*-1 + sqrt(108))))**2. 2160*sqrt(3) + 97236 Simplify -4*(sqrt(95)/(sqrt(720)*-3 + sqrt(720)) + -2 + sqrt(19) + (sqrt(19) - (sqrt(38)/sqrt(2) + 0)))**2. -12355/144 + 46*sqrt(19)/3 Simplify ((sqrt(12) + sqrt(768)/sqrt(4) - sqrt(12))*-5)/((sqrt(196) - sqrt(196)*-1) + -2*sqrt(64)). -10*sqrt(3)/3 Simplify ((sqrt(240)/sqrt(5) - sqrt(48))*3)/(-1*sqrt(270)/sqrt(5)). 0 Simplify (2*3*(sqrt(76) + -2) - (2 + (sqrt(76)*-1 - sqrt(76))/sqrt(4) + 2))**2. -448*sqrt(19) + 3980 Simplify (-1*((sqrt(204) - sqrt(204)*-2)*2 + sqrt(204)))/((sqrt(768) + -2*sqrt(768))*4). 7*sqrt(17)/32 Simplify (-1*sqrt(1300) + 0 + ((sqrt(1300) + 0 + sqrt(1300) + sqrt(1300))**2 + sqrt(1300))*5)*4. 160*sqrt(13) + 234000 Simplify (sqrt(4455) + sqrt(4455)*-2 + sqrt(4455))/sqrt(5) - sqrt(121)/((sqrt(99)*-2)/sqrt(9)). sqrt(11)/2 Simplify -3 + ((sqrt(352)*2)/sqrt(2)*4 + -4)**2. -256*sqrt(11) + 11277 Simplify (sqrt(200) + 3 + 2 + sqrt(200) + 2 + 0)*4. 28 + 80*sqrt(2) Simplify ((sqrt(128) + 1 + sqrt(128) + 5 + -4)*-2*6)**2. 9216*sqrt(2) + 74304 Simplify (-5 + (-2*sqrt(1300) - sqrt(1300)) - sqrt(39)/(sqrt(3) + 3*sqrt(6)/sqrt(2)))**2. 605*sqrt(13)/2 + 190733/16 Simplify 1 + (sqrt(27) + (sqrt(27) - (sqrt(27) + sqrt(27) + sqrt(432)*-4)))/(6*(sqrt(9) - sqrt(9)*-4)) + -5. -4 + 8*sqrt(3)/15 Simplify ((-4 + (sqrt(1573)*3 - sqrt(1573)) + sqrt(1573))**2 - (-5 + (sqrt(26)/sqrt(2))**2 + sqrt(13))*-5)*6. -1554*sqrt(13) + 85278 Simplify ((4*-2*sqrt(180)*5)/(2*sqrt(36)*-1 - sqrt(36)))**2. 8000/9 Simplify sqrt(35)/(sqrt(49)/(sqrt(7)*2 + sqrt(7))) - -5*(sqrt(1980)/sqrt(11) + sqrt(5)). 38*sqrt(5) Simplify ((3*((2*sqrt(85) - sqrt(85))*1 + sqrt(85)))/(sqrt(25)/sqrt(20) + (sqrt(5) - sqrt(10)/sqrt(2))*6))**2. 2448 Simplify (sqrt(300)/(sqrt(70)/sqrt(7)))/(sqrt(216)/sqrt(9))*-4. -2*sqrt(5) Simplify (sqrt(72) + -3*(2 + sqrt(72))**2 + -3)*2 + -3. -465 - 132*sqrt(2) Simplify (3 + (sqrt(28) - sqrt(224)/(sqrt(8)*-1) - (1 + sqrt(28) + sqrt(1008))))**2. -40*sqrt(7) + 704 Simplify -2*1*(sqrt(833) + 3 + (sqrt(833) - (sqrt(833) + 1)))**2*2. -3348 - 112*sqrt(17) Simplify ((sqrt(121) - sqrt(121)*-1 - sqrt(121))*3*-1)/(1*sqrt(176)*6). -sqrt(11)/8 Simplify ((-3*sqrt(44))/sqrt(11))/sqrt(2) - (6*(sqrt(128)*1 + sqrt(128)))**2. -18432 - 3*sqrt(2) Simplify (-2*sqrt(325)*-3)**2 + 0 + 2*sqrt(13)*2. 4*sqrt(13) + 11700 Simplify 0 + 2*(-3 + (sqrt(224)/sqrt(4))/(sqrt(28)*-3)). -6 - 2*sqrt(2)/3 Simplify (-6*(sqrt(250) - 3*sqrt(250))/sqrt(10))/((sqrt(220)/(sqrt(11)*3))/sqrt(4)). 36*sqrt(5) Simplify -2*((-2 + sqrt(304)*-1*4*6)*-2)**2. -1400864 - 3072*sqrt(19) Simplify (-4 + (2*(sqrt(17) + sqrt(17) + sqrt(51)/sqrt(3)) - (sqrt(2057) + 0 + sqrt(2057))) + (sqrt(17) + -1 + (-1*sqrt(17) - sqrt(17)))*-2)**2. 56*sqrt(17) + 3336 Simplify 3 + 3*(sqrt(512) - (sqrt(512) + sqrt(512)*1)) + 0. -48*sqrt(2) + 3 Simplify ((2*(sqrt(70) - 2*sqrt(70)))/(sqrt(250)*2) + (sqrt(168)*2)/(sqrt(96)*-2))**2. 343/100 Simplify -3 + sqrt(320) + ((sqrt(320) - (sqrt(320) + sqrt(320)*2 + sqrt(320)))**2 + sqrt(320))*-5 + (6*(sqrt(320) + 1*sqrt(320)) + 4)**2 + 2. 736*sqrt(5) + 31695 Simplify (sqrt(1470)*2*2)/((sqrt(490) - 2*sqrt(490)) + sqrt(1210)*2). 28*sqrt(3)/15 Simplify (sqrt(68) + sqrt(68) + (sqrt(68) - sqrt(68)*-2*6))/sqrt(4) + sqrt(833) + (sqrt(833) + -1)*6. -6 + 64*sqrt(17) Simplify (-3 + sqrt(275) + -1 + sqrt(275) + sqrt(275) + 5 + sqrt(275))**2 - ((sqrt(110) + (sqrt(110) - sqrt(110)*-2))*1)/(sqrt(80)/sqrt(72)). 28*sqrt(11) + 4401 Simplify ((sqrt(833) + (sqrt(833) - (5 + (-2 + sqrt(833) - sqrt(833)))) + sqrt(833) - sqrt(833)) + (3 + sqrt(833) + sqrt(833))*-6)**
{ "pile_set_name": "DM Mathematics" }
e 3*k = -y*d - 24 - 16, 4*d + 10 = 2*k for d. -5 Let d be (-126)/15 - 6/10. Let c(n) = n**3 + 10*n**2 + 9*n + 6. Let g be c(d). Let u be (-39)/(-9) + (-2)/g. Solve 8*k + u = 4*k + 3*x, -3*k = 2*x + 3 for k. -1 Let g = 26 + -26. Solve 2*m - 9 = 2*d - m, g = -5*d + 5*m - 15 for d. 0 Let m be (-11)/(-33)*(-2 + 11). Solve -5*s - 7 = -2*i, -i - 2*i + m = -5*s for i. -4 Let c = 6 + -3. Let v(h) = 4*h**2 - 7*h + 8. Let q be v(3). Solve -16 = -4*y - c*r + 8, -5*r + q = y for y. 3 Let u = -36 + 88. Suppose 24 = 4*f - u. Solve -3*m + 30 = 2*m - 3*i, 5*i = -2*m - f for m. 3 Let a be 38/2 - (8 - 10). Solve -a = 2*s - 3*c, 4*s - 2*s = -2*c + 4 for s. -3 Suppose 3*t = -t + 12. Suppose 2*i = -t*i + 20. Solve 4*n - 3*o + 26 = 0, -5*n + i = 5*o + 19 for n. -5 Let x(y) = y + 2. Let r be x(-4). Let f = -2 - r. Let q be (-2)/6*(-4 + -56). Solve -b + 5*j + q = f, 49 = -4*b - 2*j + 19 for b. -5 Let n(v) = -v**3 - v**2. Let a be n(-2). Let s = 25 + -24. Suppose m = -3*q + 24, 4*m + q = 4*q + 21. Solve m = 4*r - 3*l, -5 = -a*l - s for r. 3 Let p = -37 - -39. Solve 10 = 2*w, 3*l + 2*l + p*w + 15 = 0 for l. -5 Let d be 0*(1/2 + 0). Suppose -23*n = -26*n + 12. Solve -v - 8 = -3*f - d*f, 2 = -n*v + 2*f for v. 1 Let j(i) = -i - 12. Let o(m) = -m - 11. Let n(p) = 3*j(p) - 4*o(p). Let y be n(0). Solve -h + 4*l + 10 = -y, 0 = 3*h - 4*l - 14 for h. -2 Suppose -2*r + 13*r = 352. Solve -y + 5*o - 28 = -3, 4*y = 3*o - r for y. -5 Suppose 3*d + 14 = 5*d - 5*h, d - 4 = h. Solve -d*b + u + 14 = 2*b, -5*b + 13 = u for b. 3 Suppose 0 = -z + 2*a + 2*a + 2, 5*z = 4*a + 10. Solve -8 = -z*n, -5*f - 4*n + 9*n - 35 = 0 for f. -3 Suppose -5*b + 4*b = -4*t - 13, -3*b = -2*t - 19. Solve -4*d - b*w - 2 - 3 = 0, -d + 2*w = -15 for d. 5 Suppose 0 = -5*p + 2*i - 7, p + 2*p = -3*i. Let w = p + 4. Solve 4*m = -20, w*j + 7 = -2*m - 0*m for j. 1 Let m = -4 - -8. Solve 2*b + 4 = t, m*t + 8 = b - 4 for t. -4 Suppose 0 = 4*q - 8*q. Solve 0 = -5*j + 4*t - 2, 2 = j - 2*t - q for j. -2 Let j be (2 - 1)*(-2 - -5). Solve 6*b = 3*k + 2*b + 3, k = -j*b - 14 for k. -5 Let l be 11 + -2 - (4 + 0). Solve l*n + 25 - 2 = r, 4*n = -r - 22 for r. -2 Suppose 4*x - 21 = -1. Suppose m + 5*p - 14 = -m, x*m - 3*p = 4. Let y be (m/(-5))/((-4)/40). Solve -f = 2, -3*t = f + 4 + y for t. -2 Let p = 35 - 33. Solve p*o + 4*u + 0 = -4, 4*o + 2 = -5*u for o. 2 Let c(b) = b**2 - b. Let j be c(3). Suppose 2*l = 5*l - j. Suppose n + l*n = 15. Solve -1 = m + 4, 5*f - 5*m = n for f. -4 Suppose 16*q + 10 = 21*q. Solve q*o - 2*y = 8, 3*o = 4*o - 5*y - 16 for o. 1 Let a(g) = -4*g + g + 4*g - 2 + 6. Let q be a(6). Suppose 2*d - 5 - 5 = -5*k, 2*d = -q. Solve -3*r = 4*c + 7 - 3, -k*r = -5*c - 5 for c. -1 Let x(k) = -k**2 + 3*k. Let r be x(3). Let m be (-1)/(r - 1/5). Solve m*n + 1 = -2*t + 3*t, -5*t + n = -5 for t. 1 Let m(k) = -k + 1. Let b(w) = 4*w - 7. Let q(a) = -b(a) - 5*m(a). Let p be q(3). Solve -p*l + 5 = 4*g, -l + 2*g - 4 = -3*l for l. -3 Let a be 16 - ((-7)/21)/((-2)/(-12)). Solve 2*c + 4*j + a = 0, -c + 0*j = -j for c. -3 Suppose 2*v - 4*x = 26, -4*v + 0*v = 4*x - 4. Suppose -3*s = -o, 3*s = 5*o - 10*o. Solve 2*l + 9 = -s*c - 3*c, -2*c + v*l = 6 for c. -3 Let j(c) = -c**2 - 16*c + 6. Let m be j(-16). Solve d + 4*g = 3*d + 12, 0 = -d - 2*g + m for d. 0 Suppose -3*b + 19 - 4 = 0. Solve -2*r = 2*j - 18, -2*j + b*r - 14 = -4 for j. 5 Let c = -7 - -3. Let s be (2/c)/(2/20). Let j = 8 + s. Solve j*q - 4*q + 4*r = 13, -5*q = 3*r - 4 for q. -1 Let d be 0 - 15/5 - -7. Solve 8 = -3*u + d*y + 23, -5*y = 0 for u. 5 Let q be (-1)/(((-11)/22)/(2 - 1)). Solve -i - 14 = q*w, 4*i + 2*w - 3*w + 11 = 0 for i. -4 Suppose -g = 2*g - 12. Suppose 2*w - 7*w = 2*v + 5, 4*w - 3 = -3*v. Solve 5*b + 5*h = -v, -g*h + 15 = b + h for b. -5 Let b = -36 - -19. Let t = 25 + b. Solve -a + 5*m + 12 = 0, -3
{ "pile_set_name": "DM Mathematics" }
Let b = -453 + 464. What is the remainder when q(2) is divided by b? 9 Suppose -6*a - 77 = -7*a - 2*t, -5*t - 308 = -4*a. Let f = 84 - 44. Calculate the remainder when a is divided by f. 37 Let x(d) = -d**2 + d - 6. Let u be x(-3). Let g(p) = -p**2 + 81. Let j be g(0). Calculate the remainder when 7 is divided by (27/j)/((-1)/u). 1 Suppose -u + 249 + 19 = 0. What is the remainder when u is divided by 30? 28 Let j(v) = v**3 + 9*v**2 + 2*v + 5. Suppose 4*y + 3*o = -9, -y + 5*o = -7 + 38. What is the remainder when j(y) is divided by 26? 23 Let m be (-15)/(-25) + 954/10. Let s = 127 - m. Calculate the remainder when 60 is divided by s. 29 Suppose -14 = -4*q + 46. Let f be (4 - (-3 - 5))/(0 + 2). What is the remainder when 2/f + ((-5190)/(-9))/10 is divided by q? 13 Let i be -9 - 16/(8/(-2)). What is the remainder when 97 is divided by (-2)/((1/(-5))/(i/(-2)))? 22 Let f(n) = -13*n**2 - 54*n + 112. Let m(l) = 8*l**2 + 36*l - 75. Let j(q) = -5*f(q) - 8*m(q). What is the remainder when j(16) is divided by 6? 2 Let h be (-1 + 2)/(-2)*-4. Let l be (-36)/((-1 + -1)/h). Calculate the remainder when 42 is divided by 6/(l/8 - 4). 6 Calculate the remainder when 36 is divided by ((-16)/6)/(7/(-21)). 4 Let m be 159/12 - 2/8. Let d(j) = j**2 - 11*j - 12. Suppose -51 + 210 = 3*g. Calculate the remainder when g is divided by d(m). 11 Suppose 12 = -0*l + 2*l. Suppose 18 = l*f - 3*f. Suppose 0 = d - f - 8. What is the remainder when 67 is divided by d? 11 Let z(q) = 2*q**2 - 26*q + 39. Calculate the remainder when 16 is divided by z(12). 1 Suppose 0 = -0*y - 6*y - 18. Let z(o) = -17*o - 1. Calculate the remainder when z(y) is divided by 14. 8 Suppose 314 = 1168*l - 1167*l. What is the remainder when l is divided by 21? 20 Suppose 7*m - 213 - 123 = 0. Suppose -m*v - 14 = -49*v. Calculate the remainder when 27 is divided by v. 13 Let u = 416 + -291. What is the remainder when u is divided by 22? 15 Suppose -w = -6*w + 20. Suppose 3*a - 10 = 4*c - 71, -w*a = 4*c - 40. Calculate the remainder when c is divided by 2. 1 Let n = 1906 - 467. What is the remainder when n is divided by 16? 15 Let v = 20 + -10. Let o = v + -8. Suppose 88 = 5*j - o. Calculate the remainder when 70 is divided by j. 16 Let z(x) = x**3 + 5*x**2 - 28*x + 9. Calculate the remainder when 62 is divided by z(-8). 21 Suppose 3*g = 18 + 132. Let v(l) = 14*l**3 - 3*l**2 - 2*l + 4. Suppose p = 4, 0 = 4*m - 0*m + 4*p - 20. What is the remainder when g is divided by v(m)? 11 Let n = 0 - -9. What is the remainder when n is divided by 4? 1 Let l(s) = s**3 + 7*s**2 + 3*s - 2. What is the remainder when l(-5) is divided by 11? 0 Suppose -5*d = -5*w + 215, 0 = -3*d + d - 6. Suppose -f - w = -5*f. Calculate the remainder when 58 is divided by f. 8 Let r = -931 - -1292. What is the remainder when r is divided by 41? 33 Suppose -j = -3*p + 5, p - 3*j = -0*p - 9. Let h = 9 - 6. What is the remainder when (4 + 1)*p/h is divided by 3? 2 Let c(k) = -3*k + 1. Let n(t) = 21*t - 395. Calculate the remainder when c(-4) is divided by n(19). 1 Suppose 16*y = 6*y + 180. Calculate the remainder when 322 is divided by y. 16 Let b be (1 - 0) + 0 + 5. Suppose -3*l - 5*j = -255, 5*l + 78 = b*l + 4*j. Let p = -64 + l. What is the remainder when 51 is divided by p? 25 Let l(z) = z**2 - 81*z - 411. Let u(v) = 29*v - 1. What is the remainder when l(87) is divided by u(1)? 27 Calculate the remainder when 24 is divided by (-2)/(-7) + 770/49. 8 Suppose 0*t - t = 6. Let r be (-4)/t*(-36)/(-8). Suppose -a - 3*v + 133 = r*a, 0 = -5*a - v + 169. What is the remainder when a is divided by 9? 7 Suppose -4*b = f - 30, 2*f = -f + 2*b + 76. Calculate the remainder when 99 is divided by f. 21 Let q = 108 - 93. Calculate the remainder when 29 is divided by q. 14 Let o = 0 - -86. Suppose 13*m - 265 = o. Calculate the remainder when 69 is divided by m. 15 Let g = -29 + 25. What is the remainder when 133/2 - (-2)/g is divided by 34? 32 Let h(d) = -d**2 + 23. Let f(a) = -72*a - 4. Let w be f(-1). Let b = w + -60. What is the remainder when h(0) is divided by b? 7 Let h(i) = i**3 + 5*i**2 - 7*i - 2. What is the remainder when 4 is divided by h(-6)? 0 Let r = -148 + 381. What is the remainder when r is divided by 59? 56 Suppose -6 = -5*p + 4. Suppose -p*m = -38 - 326. Calculate the remainder when m is divided by 46. 44 Let q(x) = x**3 - 16*x**2 - 18*x + 21. Let m be q(17). What is the remainder when 19 is divided by 30/m*(-4)/(-3)? 9 Calculate the remainder when (-3230)/(-5) - (-11 - -20) is divided by 11. 10 Let a = -90 + 165. What is the remainder when 291 is divided by a? 66 Let h = 77 + -9. Let j = 82 - h. What is the remainder when 180 is divided by j? 12 Suppose 5*r - r = 0. Suppose r = -v + 5*v - 36. Suppose 6*u - 3*u = 15. Calculate the remainder when v is divided by u. 4 Suppose -8 = q - 3*q. Suppose 309 = q*u + 109. What is the remainder when u is divided by 13? 11 Let b(u) be the second derivative of -u**5/10 - u**4/4 + 5*u**3/6 + 5*u**2/2 - 7*u. Calculate the remainder when 31 is divided by b(-3). 14 Let o be 16/64 + (-662)/(-8). Suppose -w + o = -0*w. Calculate the remainder when w is divided by (-2)/4 - 344/(-16). 20 Suppose -856*m + 44 = -852*m. Calculate the remainder when 17 is divided by m. 6 Suppose 0 = 3*p + p - 132. What is the remainder when ((-22)/p)/(1 + (-215)/213) is divided by 18? 17 Suppose 3*m - 2*m - 3 = 0. Suppose -
{ "pile_set_name": "DM Mathematics" }
Which is the nearest to -0.5? (a) -1/2 (b) -1/5 (c) 1/2 (d) w a Let o = -0.1 - -0.1. Suppose -2602 = 4*v - 2590. What is the closest to v in -0.1, -0.2, o? -0.2 Suppose -6*l - 164*l = 39*l - 418. Let w = 3 + -1. What is the closest to w in -7, l, -0.1? l Let j(g) = 6*g**3 + 4*g**2 - 4*g - 4. Let o be j(-1). What is the closest to -1/10 in 4, o, -1, -3? -1 Let t = 627 + -655.3. Let d = -28.8 - t. Let l = 2.7 - -0.3. Which is the nearest to l? (a) 0.5 (b) -5 (c) d a Suppose -8*v = 24 - 40. Let z = -184 + 183. Which is the closest to z? (a) v (b) -222 (c) 4/3 c Let y be 1 - (-5)/7 - (-1014)/3549. What is the nearest to -1 in y, 43, -2? -2 Let n = -15.822 + 16.1. Let x = -0.222 - n. Which is the closest to 0? (a) -0.04 (b) -0.3 (c) x a Let f = 0.4915 - 0.5915. What is the nearest to -2 in f, -1, -140/13? -1 Let w = -10804 - -10804.2. Let s = 1 - 2. Let p be (-12)/(-10) + 0 + s. Which is the nearest to w? (a) 0.5 (b) p (c) 4 b Let u be 0 - (-2 - -4 - (8/2 + 0)). What is the nearest to -1/3 in -2, -3, u, 0.04? 0.04 Let g = 274138 + -274138. Let s = 3524333/16485 - -32/3297. Let n = 213 - s. Which is the closest to g? (a) 3 (b) -2/7 (c) n b Let a = -0.03335 - 7.96665. What is the nearest to 1/2 in -3, 1, a? 1 Let n = 24.4 - 24. Let f = -2.792 + -0.208. Suppose 0 = -6*i + 5*i - 2, 5*d + 13 = -4*i. What is the closest to n in f, d, 4? d Let n = 0.1 - -4.9. Let y be 1*-1*0/23. Suppose y = -2*v - 4*k - 16, -3*v = k - 3*k - 8. Which is the closest to v? (a) n (b) 0 (c) -9 b Let z(k) = -k**2 + 12*k + 12. Let s be z(11). Suppose 152 = -s*w + 60. Let i = -927/5 - -186. Which is the nearest to 0.1? (a) w (b) 0.1 (c) i b Let p = 42596/3 - 13979. Let u = p - 219. What is the nearest to 0.1 in -2/7, 7, u? -2/7 Let i = 570 + -571. Let g = 12 + -11.1. Let y = g - 0.5. Which is the nearest to -0.2? (a) i (b) -2/11 (c) y b Let t = -34.66 - -34.93. What is the closest to 0.4 in 1/2, t, 14? 1/2 Let y = -0.23 + 0.03. Let v = -1 - -1. Let o be -44*57/190 - -13. What is the nearest to o in v, 2, y? y Let t = -3584.104 - -3584. What is the closest to 1 in t, 2, 1/3, -1? 1/3 Let o = 0.6 - 1.2. Let w = 468.89 + -464.89. What is the nearest to o in -6, w, 3? 3 Let k be (-644)/8*712/623. What is the closest to -1 in k, 0.4, -4? 0.4 Suppose -110 - 244 = -201*x + 249. Let z = -0.4 + 0.7. Which is the closest to 0? (a) x (b) 9 (c) z (d) 5 c Let s(l) = l**2 + 47*l - 1056. Let z be s(-63). What is the closest to 3/2 in -4, z, 1/2, 5? 1/2 Let h be -24 - -31 - 4 - 3. Which is the nearest to h? (a) 4 (b) 43 (c) 2/5 (d) 3/7 c Let m = 1 - 0.8. Let i = 4173129/62 + -67307. Let l = i + -1/31. Which is the closest to m? (a) -0.5 (b) l (c) -2.1 a Let x = -0.0534 - -0.2534. Let i = -114 - -113. Which is the closest to i? (a) x (b) -2/5 (c) -1/7 (d) -5 b Let v = -28 + 27. Let y = 1/315 - 694/315. Let h = y + 37/10. Which is the nearest to 0? (a) v (b) h (c) -2/9 c Let y = 3.9 + -4. Let h = -37236 + 37235.9. What is the nearest to h in 0, 0.1, -1/2, y? y Let t = 227 + -224. Suppose -o + v + 2 + t = 0, 3*o + 3 = -3*v. Which is the nearest to -3? (a) 1/5 (b) -5 (c) o b Suppose 199 = 9*b + 172. Let u be ((-78)/18 + b)/10. What is the closest to -0.06 in -1, u, 2/11? u Let h = 108 + -60. Let l = -47.9 + h. What is the closest to -2 in l, -1, 1? -1 Let s = -1018 - -1013. Let i = -0.251 + 4.251. What is the nearest to 2/7 in s, 0.5, i? 0.5 Let i = 46 + 6. Let n = i + -52. Let y(w) = 15*w + 8. Let l be y(-1). Which is the closest to l? (a) 6/11 (b) n (c) 1/3 b Suppose 2*q + 2*y + 2 - 4 = 0, -2*q + 2*y + 14 = 0. Let x = 270908/923 - 20850/71. What is the closest to 0.1 in q, x, -0.3, 0.7? x Let u = -1.74 + -0.06. Let k = u - -1.9. Let l = -4130 - -4129.9. What is the nearest to 0.1 in k, l, -5? k Let v be (-164)/(-984)*(1 - 11230/6). Let h = -312 - v. Which is the nearest to 2/7? (a) 3/5 (b) 34 (c) h (d) 1/7 d Let p = 1.03 + -1.43. Let q be 2/2 + 75/(-150). What is the closest to -2 in q, p, -1? -1 Let s = -84551.6 - -84552. Let m = -9 - -13. What is the nearest to 10/3 in s, m, 2? m Let z = -4 - -3. Let s = 6649.9 - 6650. Which is the nearest to
{ "pile_set_name": "DM Mathematics" }
(y) = -y**2 + 3*y + 1. Let p be o(d). Suppose 0 = 2*l + 4*v - 26, l - 25 = -5*v - 0*v. Sort l, p, -3 in decreasing order. l, p, -3 Suppose 5*x = d + 5, -4*d + 5*d + 4*x = -5. Let h = 17 - 16. Put 3, d, h in descending order. 3, h, d Let d = 5.5 + -7.5. Let a = -1.1 - -1. Let y = a - -0.4. Sort y, 0.1, d in increasing order. d, 0.1, y Let n = -0.21 - 0.29. Sort -3/5, n, -1/4, -0.1 in decreasing order. -0.1, -1/4, n, -3/5 Suppose 0 = 3*t + t - 60. Let j be 6/(-4)*20/t. Sort 2, j, 5 in ascending order. j, 2, 5 Let h = 0 - 4. Let x = -1.01 - -0.01. Let s = 11.9 + -12. Put h, s, x in descending order. s, x, h Suppose -4*u = -5*p + 179, -3*p + 4*u - 66 = -5*p. Put p, 1, 3, 0 in descending order. p, 3, 1, 0 Suppose 2*p = 3*p - 5*q + 31, 3*q - 21 = p. Let x = -10 - p. Let b be ((-15)/(-18))/((-1)/(-6)). Sort b, 1, x. x, 1, b Suppose 2*c + 6 = 0, -4*c + 10 - 37 = 5*t. Let l = -2 + 2. Put l, t, -2 in descending order. l, -2, t Let l(f) = -f**3 + 16*f**2 + 16*f + 18. Let j be l(17). Let z be (-3)/(-60)*271/(-16). Let w = z + 3/64. Put j, w, -1/4 in ascending order. w, -1/4, j Suppose 22 = -7*l + 1. Sort 4, -4, l in ascending order. -4, l, 4 Let x be 0/(-3*(-6)/9). Let u be (x - 1)/2*-6. Let m be (-15)/(-10)*(-1)/u. Put 0.3, m, -2 in descending order. 0.3, m, -2 Let r(f) = -2*f**2 + 7*f + 1. Let t be r(4). Put t, 1/2, 3 in decreasing order. 3, 1/2, t Let b = 360.8 + -361. Let k = 41/3 + -14. Put k, b, -1 in descending order. b, k, -1 Let a = -20.89 + 21. Let o = a + -0.01. Sort o, -0.3, 4. -0.3, o, 4 Let f be (-141)/(-447)*(-6)/8. Let o = -2/149 + f. Sort o, 4, -0.5. -0.5, o, 4 Let n(d) = 2*d + 1. Let g(r) = 2*r + 1. Let w(y) = -4*g(y) + 3*n(y). Let x be w(1). Let b be (-15)/(-10) - (3 + -2). Put -0.5, b, x in ascending order. x, -0.5, b Let a be ((-1)/(-2))/(6/12). Put 5, -6, a in ascending order. -6, a, 5 Let o(h) = h. Let x be o(2). Suppose 2*b = 2*c - 4*c - 4, 0 = -2*b - c - x. Sort -5, b, 4 in decreasing order. 4, b, -5 Suppose -4*m + 15 = 3. Let p(c) = -3*c**2 - 6*c - 5. Let b be p(-1). Sort m, 0, b in increasing order. b, 0, m Let w(k) = k**3 + k**2 + k + 16. Let f be w(0). Suppose -f = -3*g + 5*g. Put 5, g, 1 in descending order. 5, 1, g Suppose -c - 2 = -5. Suppose -2*t - c*l - 3 = t, -1 = t + 5*l. Sort 14, t, 4 in increasing order. t, 4, 14 Let o(i) = -i**2 - 11*i - 6. Let t be o(-8). Suppose 3*k + t = 6. Put 4, -1, k in increasing order. k, -1, 4 Let v = -40.2 + 40. Let j = 2 + -1. Let l(c) = -2*c + 1. Let t be l(j). Sort -3, t, v in decreasing order. v, t, -3 Suppose -4*o - 36 = 4*s - 4, -4*s - o - 26 = 0. Let p be s/(-15) - (-3)/5. Let d be p*(1 + 0/1). Put 4, -1/3, d in descending order. 4, d, -1/3 Let y = 0 + -5. Let i = y + 2. Put -2/17, i, 0.5 in increasing order. i, -2/17, 0.5 Suppose 0 = -12*u + 16*u. Sort -5, u, -1, 13. -5, -1, u, 13 Let v be (16/24)/((345/(-9))/5). Sort -3/2, -1, v. -3/2, -1, v Suppose 0 = 3*d - 6 + 15. Let j = -2 - -3. Sort 5, j, d. d, j, 5 Suppose 14*c - 2 + 16 = 0. Sort 3, 5, c, -8 in descending order. 5, 3, c, -8 Suppose -5*p = -4*f - 117, 0 = 3*p - 4*p + 1. Let o be 6/21 - 1175/f. Let a = -42 + o. Sort -0.4, a, 0.2 in decreasing order. a, 0.2, -0.4 Let c(u) = -3*u - 2. Let a be c(-4). Let l be ((-8)/a)/((-7)/(-35)). Suppose 0*n = 4*n - 16. Put 0, l, n in descending order. n, 0, l Let n be (-11)/(-2) - 9/(-6). Suppose 4*h + 4*b = 4, -n*h + 3*h + 3*b = 3. Sort h, -5, -1 in descending order. h, -1, -5 Let q = -1/29 - -36/203. Let c = -0.28 - 0.02. Put 4, q, c in descending order. 4, q, c Suppose -z = -3*z + 30. Suppose 13*l = z*l + 10. Suppose -17 = -3*r - 4*u, -3*u + 0*u = 4*r - 11. Sort l, r, 5 in ascending order. l, r, 5 Let z(k) = -4 + 2 - 5*k + 2*k**3 + 3*k**2 - k**3. Let v be z(-4). Let m = 7 - 9. Put -4, v, m in ascending order. -4, m, v Let z = -2 - -3. Suppose 3*k + 4 = -5*h - 8, 2*k + 8 = 0. Let f = h - 0. Put z, f, 2 in increasing order. f, z, 2 Suppose -4*j = 11 - 699. Let m be 4/(-14) - j/(-14). Let b(n) = n - 9. Let u be b(m). Sort 1, -2/7, u in ascending order. -2/7, 1, u Let h(p) = 2*p + 29. Let d be h(-14). Sort 0.3, d, -0.1 in increasing order. -0.1, 0.3, d Let h = 2 + 0. Suppose 9*v + 18 = 3*v. Put -6, h, v in ascending order.
{ "pile_set_name": "DM Mathematics" }
.0509 - -0.0509. Let u = t + y. What is u rounded to five dps? 0.00007 Let q = -78.41 - -114.42. Round q to the nearest integer. 36 Let d(z) = z**2 - 11*z + 6. Let q(k) = k**2 - 3*k + 3. Let l be q(4). Let n be d(l). Let u be (-2)/11 - 38064/n. What is u rounded to the nearest 100? 1700 Let j = 13 - 7. Let x = 10 - j. Suppose -c + x*c + 60 = 0. Round c to the nearest ten. -20 Let f = 65.10904683 + -0.10841683. Let a = f - 65. What is a rounded to 4 dps? 0.0006 Let t = 0.7 + -6.7. Let k = 126.75 - 121. Let y = t + k. What is y rounded to 1 decimal place? -0.3 Let t = -14 - -13. Let k(z) = 113997*z - 3. Let x be k(t). Round x to the nearest ten thousand. -110000 Suppose 4*a - 19404 = -2*x, 1 = 2*a - 1. Round x to the nearest 1000. 10000 Let j = -204080.1931 - -204090. Let v = 82.8 - 73. Let m = j - v. Round m to 3 dps. 0.007 Let g = -136.664373 + 260.6643781. Let f = -121.8 - 2.2. Let b = g + f. Round b to six decimal places. 0.000005 Let m = 1 - -1. Let y be (-42)/(-35) - 1008/(-10). Let w be (y - m)*(2 + -712). What is w rounded to the nearest 10000? -70000 Let a = -1299.00000011 + 1299. Round a to six decimal places. 0 Suppose u + 5*d = 100000012, -5*u + 5*d + 458958251 + 41041809 = 0. Suppose n + 125000020 = -5*h + 6*n, 3*n = 4*h + u. Round h to the nearest 1000000. -25000000 Suppose x = -4*i + 2, 0 = 3*x - 6. Suppose 5*u + 3105 = -g, -u = -3*g - i*u - 9299. What is g rounded to the nearest 100? -3100 Let x(h) = 15000*h. Let k = 21 + -16. Let r = -3 + k. Let b be x(r). What is b rounded to the nearest 100000? 0 Let z = -359596.00016 - -359568. Let d = -28 - z. Round d to 4 decimal places. 0.0002 Let h = -565.2 - -562. Round h to the nearest integer. -3 Let z(r) = -1628573*r - 7. Let i be z(-7). Suppose i = y - p, -2*p + p = -3*y + 34200004. Round y to the nearest 1000000. 11000000 Let b = -412 + 166. Let g = b - -506. Let f = -258.81 + g. What is f rounded to one decimal place? 1.2 Let d = 21 + -24. Let u = d - -3.54. What is u rounded to 1 decimal place? 0.5 Let r(h) = -161459*h + 131. Let n be r(9). What is n rounded to the nearest 1000000? -1000000 Let c(i) be the second derivative of i**5/20 + i**4/6 - 2*i**3/3 - i**2 + 5*i. Let d be c(-3). Let l be 7 + 1052 + d + 0. Round l to the nearest 100. 1100 Let c = 166079683 + -166079702.50549823. Let a = c + 3.50549847. Let h = a - -16. What is h rounded to 7 decimal places? 0.0000002 Let p(d) be the first derivative of -55358*d**2 + 24*d + 22. Let b be p(14). Round b to the nearest one hundred thousand. -1600000 Let b = 0.614 - 0.613175. Round b to five dps. 0.00083 Let p(f) = -39*f - 14. Suppose -10 = w - 2*w + 2*u, -4*u - 12 = 2*w. Let o be p(w). Round o to the nearest 10. -90 Let x = 550 + -552.61. Let u = 2.61000676 + x. Round u to 6 dps. 0.000007 Suppose -3*s - 5*x + 591 = -2*x, -5*x + 10 = 0. Suppose 9*f + s = 4*f. Round f to the nearest 10. -40 Suppose 38 = 3*w - 22. Let o(j) = -w*j + 16*j - 26*j. Let n be o(-3). Round n to the nearest 100. 100 Suppose -c - 4*c - 4*w = 93096, -5*c + 5*w = 93105. Round c to the nearest 1000. -19000 Let j = 150.2 + -49.6. What is j rounded to the nearest ten? 100 Let j = 5.8 + -5.45. Round j to the nearest integer. 0 Let w = 0.0953 + -0.0953005799. Round w to 7 decimal places. -0.0000006 Let q = 0.42 + 0.01. Let m = 0.69 - q. What is m rounded to one dp? 0.3 Let v be -7 - -2 - -4*(-2757)/12. Round v to the nearest 100. -900 Let i = -480.1 - 96.9. Let b = -11.684928 + 588.708228. Let f = i + b. Round f to three dps. 0.023 Let m be (-2)/(((-5)/(-18))/(-5)). Let c be (-24)/((-12)/(-6))*-31. Suppose -p = 5*h - m + 154, -4*p + 5*h = c. Round p to the nearest 10. -100 Let c = 57.8 - 17.3. Let a = 40.50177 - c. Round a to 4 decimal places. 0.0018 Let i = -137.0000571 + 137. Round i to five dps. -0.00006 Let p = 84.584 - 85. Let z = -0.4 - p. What is z rounded to three decimal places? 0.016 Let j = 2 - 9. Let c be j/7*(1 - 4). Suppose 0*m + 1713 = c*y + 3*m, -5 = -5*m. Round y to the nearest one hundred. 600 Let u = 19.6 - 44. Let t = u + 3. Round t to the nearest 10. -20 Suppose -3*j + 28 = j. Let y be (51/2)/(j/(-182504)). Let s = 462836 + y. What is s rounded to the nearest ten thousand? -200000 Let n be 1523*(9/(-3) - -4978). Let a = -12916925 + n. Round a to the nearest 1000000. -5000000 Let f = -143 + 85. Let l = 58.00000062 + f. Round l to seven dps. 0.0000006 Let b(z) = 6*z + 1745*z**2 + 10 + 976*z**2 + z. Let o be b(-5). What is o rounded to the nearest 10000? 70000 Let r = 431799.53113 - 431797. Let n = 59.4 - 56.87. Let k = n - r. Round k to 4 dps. -0.0011 Let f = -2.08787467 + -0.01216833. Let l = -2.134 + 0.034. Let a = l - f. What is a rounded to five decimal places? 0.00004 Let q be 2*(27/(-6))/9. Let z(p) = 209*p**3 + p. Let m be z(q). Round m to the nearest one hundred. -200 Let d = 2.87 - 195.87. Let w = -193.00396 - d. Round w to 3 decimal places. -0.004 Let v be (-23625)/(-6)*21392/(-21
{ "pile_set_name": "DM Mathematics" }
46)*-2 - sqrt(3146)) + sqrt(3146))/sqrt(2))*-2. -42*sqrt(13) - 10 Simplify (((-1 + sqrt(1377))*-2 - 5*(sqrt(1377) + 1 + sqrt(1377)) - (4*(-1 + sqrt(1377)) - (1 + -1 + sqrt(1377))))*-6)**2*4. -38880*sqrt(17) + 44614944 Simplify 2 + ((4 + (sqrt(128) - (sqrt(128) + 4)))*-6)**2 + (sqrt(128)*-5*-6 + 5)**2. 2400*sqrt(2) + 115227 Simplify (1 + sqrt(425) + -4)**2 + 4 + (-5*-3*(1 + sqrt(2057) + sqrt(2057) + sqrt(2057)))**2 + 5. 14820*sqrt(17) + 4166093 Simplify (sqrt(153)/sqrt(9) + 3 - (-3 + sqrt(833)) - -5*(0 + -6*(sqrt(34)/sqrt(2) - sqrt(17))))**2. -72*sqrt(17) + 648 Simplify -5 + (1*(-5 + 6*(1*sqrt(208)*-4 + sqrt(208)) + -5))**2*3. 4320*sqrt(13) + 202471 Simplify (3 + (-1*sqrt(700) + 2)**2 - (0 + (1*sqrt(700))**2*1)) + 3 + -5. -40*sqrt(7) + 5 Simplify ((2*sqrt(2448) + 2 - (2*sqrt(2448)*-2 - sqrt(2448))**2) + 5 + 2*(sqrt(2448) - (sqrt(2448) + 1)))*-1*-4. -244780 + 96*sqrt(17) Simplify ((3 + 6*sqrt(5) + 1)*6 + (sqrt(180) + -2)*-4 + -4)**2. 672*sqrt(5) + 1504 Simplify (1*sqrt(90)/sqrt(3) + sqrt(30) - -6*sqrt(180)/sqrt(6))/(sqrt(250)*-6 - sqrt(40)/sqrt(4)*3). -8*sqrt(3)/33 Simplify (6*1*-1*sqrt(143)*2)/((sqrt(3564)*2)/(sqrt(28)/sqrt(28))). -sqrt(13)/3 Simplify (3 + 6*((2*sqrt(4114))/(-3*sqrt(6)/sqrt(3)) + (sqrt(34)*2*4)/(sqrt(2) - (sqrt(8) + (sqrt(8) - sqrt(8)*-1) + sqrt(8) + sqrt(2)))))**2. -300*sqrt(17) + 42509 Simplify ((sqrt(272) - (sqrt(272) + 0 + -2)) + -1)**2 + -5 + (0 + sqrt(272)*3 - sqrt(272)) + sqrt(272)*2 + 0 + 0. -4 + 16*sqrt(17) Simplify (-3*(sqrt(102)/sqrt(6) + 1) + sqrt(85)/(sqrt(5) + sqrt(180)*-5))**2 + 4. 528*sqrt(17)/29 + 142581/841 Simplify (sqrt(196)/(sqrt(252) - sqrt(7)) + (sqrt(28) - ((sqrt(112)/sqrt(4) - sqrt(28)) + sqrt(28)))*3)/(sqrt(16)*4 - sqrt(8)/sqrt(8)). 2*sqrt(7)/75 Simplify ((1*sqrt(540))/(6*sqrt(20)/sqrt(2)))/((-1*sqrt(18))/sqrt(6) - (sqrt(3) + sqrt(432))). -sqrt(2)/28 Simplify (6*((sqrt(891) + 2 + -5 - sqrt(891)) + -5 + 2 + sqrt(891) + 1*sqrt(891) + 5 + sqrt(891) + 2))**2 + 4. 1944*sqrt(11) + 288724 Simplify -3*6*((-3 + sqrt(396) - sqrt(396) - sqrt(396)) + sqrt(396)) + -3*(sqrt(3564) + -2 - sqrt(3564)). 60 Simplify (-3 + ((-1 + (sqrt(99)*-1)**2)*-6 - ((sqrt(99) + 0)*-6*6)**2))*-5. 644475 Simplify 2*(1 + 3*(sqrt(2) + sqrt(4)/sqrt(98)) - ((sqrt(8) - (1*sqrt(8)*-2 - sqrt(8))) + 3)**2). -272 - 624*sqrt(2)/7 Simplify -5 + -4*-2*sqrt(605)*2 - (-3 + -2 + (sqrt(5) - (sqrt(5) + (sqrt(5) - sqrt(5)*1))) + -2 + -5). 7 + 176*sqrt(5) Simplify (((2 + (sqrt(125)*1 - sqrt(125)) - sqrt(125)) + sqrt(125) + 0 + sqrt(125) + sqrt(125) + sqrt(125)*2)*-2*2*-5)**2 + 5. 32000*sqrt(5) + 801605 Simplify (sqrt(8) + sqrt(768)/sqrt(6))/sqrt(4) + ((1 + sqrt(2) + -4)*1)**2 - (sqrt(50) + (sqrt(4050)*-2 - sqrt(4050)) + -5 + -2)**2. -33838 - 1821*sqrt(2) Simplify ((2 + (sqrt(252) + -4 - sqrt(252)))**2*-3 + 1 + -2)*-3*-4. -156 Simplify sqrt(270)/sqrt(6) + (sqrt(5) - sqrt(10)/sqrt(2)*3) + 4 + 0 - 5*((sqrt(320))**2 + 0 - sqrt(40)/sqrt(32)). -1596 + 7*sqrt(5)/2 Simplify (sqrt(30)*3*2*1)/(2*sqrt(486)*5). sqrt(5)/15 Simplify (5*sqrt(1008)*-2 + sqrt(1008) + -3*(sqrt(1008) + -1) - ((3*sqrt(1008) - sqrt(1008)) + -3 + (sqrt(1008) - (sqrt(1008) + -1 + 5)) + sqrt(1008)))**2. -3600*sqrt(7) + 226900 Simplify (4*sqrt(30)/(-2*sqrt(147) + sqrt(3)))/(sqrt(2) + sqrt(200)*2 - (sqrt(200)*-1 + sqrt(2))). -2*sqrt(5)/195 Simplify (((4*sqrt(78)*-2 - sqrt(78)) + sqrt(78) - sqrt(78))/(2*sqrt(48)))/((3*sqrt(20))/sqrt(10) + sqrt(20)/(-4*sqrt(10))). -9*sqrt(13)/22 Simplify (2*(sqrt(168)/sqrt(7) + sqrt(24)))/(sqrt(12)/(sqrt(36)/sqrt(96)))*-3. -6*sqrt(3) Simplify (-6*(5 + (2*sqrt(567)*6 - -4*(sqrt(567) + -1)))*5*3)**2. 2332800*sqrt(7) + 1175739300 Simplify (-6*(5 + (2*(sqrt(102) + (sqrt(102) - 1*sqrt(102)))*1)/(1*sqrt(1536)) + 1))**2. 54*sqrt(17) + 20889/16 Simplify ((sqrt(76) + 2)**2 + -2 + -3)*3 + (-3 + (3*sqrt(76) + 0)*-4)**2. 168*sqrt(19) + 11178 Simplify ((-3*(1 + sqrt(833)) + 4 - -2*(sqrt(833) + 0 + 3))*2 + -1)**2. -364*sqrt(17) + 3501 Simplify (6*-2*(sqrt(80) + sqrt(80) + -2)*2)**2 - ((sqrt(135)/sqrt(3) - -4*sqrt(20))**2 + (sqrt(55)/(sqrt(22)/sqrt(2)) + sqrt(5))*-6). -18420*sqrt(5) + 186019 Simplify (1 + ((0 + 1*1*sqrt(1300) - (sqrt(1300) - -4*1*sqrt(1300) - (-1 + 1*sqrt(1300)))) + 3)**2)*1. -120*sqrt(13) + 11705 Simplify 2*-4*sqrt(176) + sqrt(66)/(sqrt(30)/sqrt(5)*-1)*-1. -31*sqrt(11) Simplify -1*(-2 + (1 + (2*sqrt(2736) + 4 + sqrt(2736) - sqrt(2736)) + 3 + sqrt(2736) + 1*sqrt(27
{ "pile_set_name": "DM Mathematics" }
2573889 is divided by 862? 819 What is the remainder when 1499620 is divided by 21402? 1480 Calculate the remainder when 1979012 is divided by 659463. 623 What is the remainder when 61729 is divided by 9? 7 What is the remainder when 140688 is divided by 69181? 2326 Calculate the remainder when 387535 is divided by 21340. 3415 Calculate the remainder when 70583293 is divided by 3714910. 3 What is the remainder when 20767271 is divided by 534? 11 Calculate the remainder when 64342471 is divided by 722949. 10 What is the remainder when 13564 is divided by 176? 12 What is the remainder when 24346515 is divided by 26039? 50 Calculate the remainder when 32983835 is divided by 16491904. 27 What is the remainder when 293651 is divided by 146823? 5 What is the remainder when 905918 is divided by 241? 240 Calculate the remainder when 1576298 is divided by 525426. 20 Calculate the remainder when 1769759 is divided by 12. 11 Calculate the remainder when 9103355 is divided by 114. 113 Calculate the remainder when 670357 is divided by 3061. 3059 Calculate the remainder when 2015972 is divided by 503989. 16 Calculate the remainder when 82798 is divided by 3929. 289 What is the remainder when 8060416 is divided by 1151488? 0 What is the remainder when 824549 is divided by 697? 695 What is the remainder when 42930218 is divided by 21465109? 0 Calculate the remainder when 9665259 is divided by 2416306. 35 Calculate the remainder when 27437 is divided by 343. 340 Calculate the remainder when 3259649 is divided by 485. 449 Calculate the remainder when 6836634 is divided by 126. 0 What is the remainder when 2450068 is divided by 1886? 154 What is the remainder when 7561268 is divided by 504084? 8 Calculate the remainder when 759454 is divided by 497. 38 What is the remainder when 620407 is divided by 49? 18 Calculate the remainder when 424778 is divided by 3255. 1628 Calculate the remainder when 104677 is divided by 771. 592 What is the remainder when 3757024 is divided by 1878508? 8 What is the remainder when 114064 is divided by 651? 139 Calculate the remainder when 286987 is divided by 2814. 2773 What is the remainder when 103669 is divided by 14794? 111 Calculate the remainder when 2141028 is divided by 1308. 1140 What is the remainder when 29793696 is divided by 4395? 4386 What is the remainder when 721795 is divided by 6872? 235 What is the remainder when 87470 is divided by 760? 70 What is the remainder when 1359819 is divided by 89? 77 Calculate the remainder when 2595900 is divided by 96143. 39 What is the remainder when 4089529 is divided by 584199? 136 What is the remainder when 247719 is divided by 247041? 678 What is the remainder when 1257392 is divided by 367? 50 Calculate the remainder when 356779 is divided by 356773. 6 Calculate the remainder when 427875 is divided by 18602. 29 What is the remainder when 473278 is divided by 1400? 78 What is the remainder when 5939185 is divided by 35995? 10 What is the remainder when 51767856 is divided by 4313987? 12 Calculate the remainder when 1446464 is divided by 1445933. 531 What is the remainder when 251232122 is divided by 29? 18 Calculate the remainder when 699680 is divided by 34980. 80 Calculate the remainder when 1991245 is divided by 115. 20 What is the remainder when 20807398 is divided by 495414? 10 What is the remainder when 920838 is divided by 6482? 394 What is the remainder when 2178731 is divided by 4973? 557 What is the remainder when 39287 is divided by 374? 17 Calculate the remainder when 5820490 is divided by 4128. 10 What is the remainder when 28016544 is divided by 5195? 5104 Calculate the remainder when 27261588 is divided by 26. 16 What is the remainder when 184188 is divided by 3221? 591 Calculate the remainder when 18853195 is divided by 9426578. 39 Calculate the remainder when 65261 is divided by 21708. 137 What is the remainder when 30085352 is divided by 2735032? 0 Calculate the remainder when 13437 is divided by 117. 99 What is the remainder when 142303 is divided by 71030? 243 Calculate the remainder when 12016855 is divided by 8. 7 What is the remainder when 110956798 is divided by 753? 742 What is the remainder when 3326708 is divided by 97843? 46 What is the remainder when 8372581 is divided by 48? 37 What is the remainder when 13759174 is divided by 173? 138 Calculate the remainder when 26856520 is divided by 1678532. 8 What is the remainder when 97424 is divided by 47896? 1632 Calculate the remainder when 14363147 is divided by 18. 11 Calculate the remainder when 23187068 is divided by 11593438. 192 Calculate the remainder when 2959405 is divided by 37. 34 What is the remainder when 554059816 is divided by 27? 25 Calculate the remainder when 128472 is divided by 474. 18 Calculate the remainder when 14454975 is divided by 26. 15 What is the remainder when 2274992 is divided by 68? 52 Calculate the remainder when 12822505 is divided by 136. 17 Calculate the remainder when 643831 is divided by 1555. 61 What is the remainder when 12810611 is divided by 584? 571 Calculate the remainder when 3498577 is divided by 24. 1 What is the remainder when 5057788 is divided by 1590? 1588 What is the remainder when 321420 is divided by 313? 282 What is the remainder when 82817 is divided by 82799? 18 Calculate the remainder when 68315329 is divided by 21. 19 Calculate the remainder when 25485458 is divided by 38. 36 Calculate the remainder when 745715 is divided by 1415. 10 Calculate the remainder when 555643 is divided by 373. 246 What is the remainder when 5336760 is divided by 474? 468 What is the remainder when 2927637 is divided by 34042? 25 What is the remainder when 528374366 is divided by 302? 300 What is the remainder when 2622645 is divided by 2378? 2089 Calculate the remainder when 157405 is divided by 5524. 2733 Calculate the remainder when 9527403 is divided by 142200. 3 Calculate the remainder when 98125045 is divided by 136855. 10 Calculate the remainder when 16203552 is divided by 35928. 24 Calculate the remainder when 364479 is divided by 363432. 1047 Calculate the remainder when 976097 is divided by 488043. 11 Calculate the remainder when 7993977 is divided by 69. 51 Calculate the remainder when 20052123 is divided by 49. 0 Calculate the remainder when 434053 is divided by 167. 20 Calculate the remainder when 25011056 is divided by 490. 476 Calculate the remainder when 11665983 is divided by 85779. 39 What is the remainder when 7810542 is divided by 4956? 4842 What is the remainder when 13860208 is divided by 121? 21 Calculate the remainder when 22465114 is divided by 105470. 4 What is the remainder when 13173595 is divided by 200? 195 What is the remainder when 462172 is divided by 153679? 1135 Calculate the remainder when 177352 is divided by 44. 32 What is the remainder when 159458 is divided by 1491? 1412 What is the remainder when 471497 is divided by 779? 202 What is the remainder when 9776902 is divided by 66060? 22 Calculate the remainder when 17232772 is divided by 2775. 22 Calculate the remainder when 3357317 is divided by 176690. 207 What is the remainder when 1946650 is divided by 648586? 892 Calculate the remainder when 44571489 is divided by 1926. 1923 Calculate the remainder when 4102013 is divided by 40212. 389 What is the remainder when 383284 is divided by 94? 46 What is the remainder when 417594 is divided by 102042?
{ "pile_set_name": "DM Mathematics" }
-3? 1/15962 Which is the smallest value? (a) -4/5 (b) 2 (c) 4 (d) -0.07 a Which is the fourth smallest value? (a) -0.1 (b) 74 (c) -1/7 (d) -2/13 b What is the third biggest value in -140, 45, 4? -140 Which is the second biggest value? (a) -1 (b) 5 (c) -220 (d) 3/11 (e) -5 (f) 1 f Which is the fourth smallest value? (a) -3 (b) 0.574 (c) 0.5 (d) -1 b Which is the smallest value? (a) 1/6 (b) -11 (c) 5024 b What is the sixth smallest value in -1/3, -2, -16, -291, 2/7, -0.3? 2/7 What is the smallest value in -273, -3/7, -15, 0.2? -273 What is the sixth biggest value in 3, 6, 12, -4, -0.5, 0.06? -4 What is the second smallest value in -1, -3, 892, 0.5? -1 Which is the third smallest value? (a) 0.02 (b) -1 (c) 2126 (d) 1 (e) -3 a What is the fourth smallest value in 0.2, 16.2, 0.4, -4, -0.07? 0.4 Which is the smallest value? (a) 0.5 (b) -8 (c) -1 (d) -0.744 b What is the fifth biggest value in -43, -0.1, -1/4, -1/5, -2/129? -43 What is the fourth smallest value in 5, -4/5, -10, -2/3, -0.3, -1/15? -0.3 What is the third biggest value in 3/4, -1/13, -5/8, -4/3, -18.1, -0.5? -0.5 Which is the third biggest value? (a) 3 (b) 1154 (c) 13 a Which is the third biggest value? (a) 0 (b) 1/3 (c) -3.1 (d) -4 (e) -9 c What is the fifth biggest value in 0.02, -33, -0.3, -2/7, 10, -5? -5 What is the sixth biggest value in -0.021, 1, 1/11, 0.88, -0.4, -0.3? -0.4 What is the smallest value in 2/3, 5, -0.2, 0.6843? -0.2 Which is the smallest value? (a) -3 (b) 1.1 (c) -0.7 (d) -1/73 a What is the biggest value in 2/27, -0.51, -22, -1.9, 2? 2 Which is the fourth biggest value? (a) -1046 (b) 5 (c) 0 (d) 2/15 (e) -5 e Which is the sixth smallest value? (a) -2 (b) 0.09 (c) 3 (d) -0.3 (e) 223 (f) 1/12 e What is the biggest value in 8/7, 18, -1.74? 18 What is the sixth smallest value in 4, -0.1, 0.05, 80, -1, -161.6? 80 Which is the fifth smallest value? (a) -0.2 (b) -0.4 (c) 2 (d) -26/159 (e) -1 (f) -3 d Which is the fifth smallest value? (a) -7 (b) -1/5 (c) 21 (d) -0.3 (e) -2 c What is the sixth smallest value in 1/3, -79/4, 3, 3/5, -17, -0.2? 3 What is the third biggest value in -14, -0.3, 0.102, -1? -1 Which is the smallest value? (a) 1 (b) -0.4 (c) 85/6 (d) -0.1 b Which is the second smallest value? (a) 3 (b) -558492 (c) -0.5 c Which is the second biggest value? (a) -44 (b) 1/5 (c) 0.9 b Which is the fifth smallest value? (a) 1/4 (b) 6 (c) -1.7 (d) 1/10 (e) 1/21 (f) -57 a What is the biggest value in 1/4, -22408, -2? 1/4 What is the fifth smallest value in -3, 1/2, 60, 1, -1/16? 60 Which is the fifth biggest value? (a) 0.2 (b) -8/247 (c) 1 (d) 1/10 (e) -144 e What is the second smallest value in -2/7, 2/13, 4, -0.04, 1/13, 1/8? -0.04 What is the fourth biggest value in -2, 924/13, 0.01, 1? -2 What is the third biggest value in 420211, 0, 0.2? 0 What is the second biggest value in 42, -6/215, 0.2? 0.2 Which is the second biggest value? (a) 0.0346 (b) 63 (c) 0.2 (d) 5 d What is the fourth biggest value in 0.1, -1/4, 1625, 4? -1/4 Which is the second biggest value? (a) -0.7 (b) 4/7 (c) 21340 b What is the sixth biggest value in -0.2, 1, -2, -25.3, 0.3, -0.02? -25.3 Which is the second smallest value? (a) 8 (b) 3 (c) -0.4 (d) 1 (e) -0.02 (f) -1 c What is the third biggest value in -5/4, 1039/9, -0.5? -5/4 What is the third smallest value in 1/39, -13.7, 0.2, -3/5? 1/39 Which is the fourth smallest value? (a) 6 (b) 3 (c) -5/8 (d) -131 (e) 17 a Which is the fourth biggest value? (a) -28/13 (b) 5 (c) 2/57 (d) 2 (e) -5 (f) -0.3 f Which is the fourth smallest value? (a) -1875 (b) 3 (c) 2 (d) 0.2 (e) -1/5 c Which is the fourth smallest value? (a) -0.5 (b) -2/7 (c) -0.056 (d) -4 (e) -0.19 e What is the smallest value in -2, 35/12, -0.33, -0.1, -4? -4 Which is the biggest value? (a) 2147 (b) -11 (c) -2/7 (d) 0.1 (e) -0.2 a What is the sixth smallest value in 0, -3/2, -2/9, 0.19, -0.2, 44? 44 Which is the fifth smallest value? (a) -14 (b) 2 (c) -1.3 (d) 0.492 (e) -2 b Which is the fifth biggest value? (a) -0.4 (b) 4/49 (c) -0.1 (d) 2 (e) -1/6 (f) 2/25 e Which is the biggest value? (a) 2/397 (b) -6 (c
{ "pile_set_name": "DM Mathematics" }
/7 What is ((-11)/(-209) + (-35)/(-57))/((-4)/(-186) - 0)? 31 Evaluate 966/(-24)*6540/3815. -69 (1 + 64)/(5707/439) + (-13 - -2) -6 What is 115/(-1) - (-5)/(37/30 - 286/715)? -109 What is the value of 141/376*712 + -114? 153 Evaluate (-160)/46800*78 + -3 + (-176)/60. -31/5 What is the value of 3997/(-49) - (-181 - -189) - ((-18)/(-14))/3? -90 Calculate (((-43)/(-12900))/(-1))/(9/((-315)/(-14))). -1/120 Calculate ((-2183)/74 - -28)/(7/6). -9/7 Calculate (-25 - (14 - 38))*(70 - 9). -61 Calculate 10620/1416*100/(-15). -50 What is the value of (-1547)/(-49) - 3000/(-875)? 35 What is the value of -7449*(-54)/16146 + -25? -2/23 What is (-2 - 11) + ((-39338)/267)/(-13)? -5/3 What is -8 - (-4 - 17)*(199 - 39)/(-32)? -113 Calculate (-56)/((-8000)/(-720) + 30/(-3) + 196/(-63)). 28 ((-992)/(-20))/4*(68972/(-1548) + 44) -62/9 What is (-8190)/1560*(-416)/(-702)? -28/9 What is the value of 12/(-14) + -17 + (-8106)/147? -73 What is the value of 4046/4913 + (-37200)/(-408)? 92 What is (0 - (344/70 - 5))/(102/(-510))? -3/7 Evaluate ((-79)/(-4) - 18915/5044) + 1510/(-94). -3/47 What is the value of (0 - 4/31)*(-2497515)/3930? 82 What is the value of 15/4*55788/460251? 5/11 What is (129/344)/((-48)/3584)? -28 Calculate (-10)/2 + 12 - ((-976)/(-40))/(100/(-250)). 68 -6*66*(-36)/(-396) -36 What is the value of 32/(-24)*(2 + -4 + (1744/(-32) - -43))? 18 Evaluate (-149 - -171) + -2 + (-237)/12. 1/4 What is -111 + 159022/1380 - 4/4*18/4? -4/15 ((-2)/923)/(161/2093) -2/71 What is the value of (-43)/((-15)/5 + -8 + 18*34/51)? -43 What is (2 - 4066/1100) + 85482/52239? -3/50 What is the value of 173 + -68 + (-31496)/300? 1/75 (-10868)/3696*-28 - 74 25/3 What is (59 - (-70 + 148))/((-2 - 32/(-12)) + -1)? 57 What is (-1754)/(-44) - 10179/(-74646)? 40 What is the value of 11/(-77)*((-42)/15)/(38/(-95))? -1 Calculate 153/((-22950)/120)*(-1)/(-26). -2/65 Calculate -96 + 74820/780 + (-294)/(-442). 10/17 What is 165*(-2)/6 + 86? 31 What is 0 + 25/(-40) - 3715621/31928? -117 ((-14418)/(-1335))/(3/(-40)) + (-16)/(-40)*35 -130 What is (0 + (-3)/(-4))/((-10355)/(-1064) - 10) + 6? 16/5 Evaluate ((-4)/4)/(36/180 + 273/(-1540)). -44 Evaluate (-39)/((-6708)/(-215))*2/(-25). 1/10 What is (-84)/(-1050) - 2442/3025? -8/11 Evaluate 4/(-26) - 15904/177840 - 1570/(-7065). -2/95 What is (-6428)/(-154) - 2388/(-4378) - 3/((-126)/(-12))? 42 Evaluate ((23 - 135/9) + 22/(-3))*-15 + 1. -9 (28/11)/(49594/818301) 42 What is 35875/3430 - ((-96)/(-3920))/((-6)/10)? 21/2 Calculate ((-7)/(-280))/(-302 - -304). 1/80 What is the value of 3114/3633*420/8? 45 Calculate -10*(-2)/(-16) - 156630/(-1816). 85 What is the value of (-196)/(-84)*((-216)/126)/(-4)? 1 Calculate (((-98)/4)/(6/4))/((-28096)/(-192) + -146). -49 What is the value of ((-12)/14)/((-763422)/11739 - -65)? 26 Calculate -4 + (0/(23 + -27))/(-6 + -6). -4 Calculate 77682/20009*85/(-15). -22 What is -9 + 1 + (-528)/128 + 14? 15/8 ((-68)/(-306))/((-10)/3)*70/4 - -4 17/6 Calculate 37/220*-7 - (4302/(-7887))/((-5)/(-11)). 1/44 (39552/(-3090))/((-6)/(-30)) -64 Evaluate ((-1)/(-5)*(5/(-3) + 10))/((-2980)/(-46488)). 26 (-3)/(3 + 2025/(-630)) 14 What is (-43)/((-4214)/28)*5*-1? -10/7 Evaluate 15/(-80) + (-90897)/(-1968) + (-1 - -1). 46 Calculate 148 + ((-1002)/27 - (-2548)/819). 114 Evaluate ((-141)/(-27))/(-12 + (-20)/(-5)) + 14/21. 1/72 Calculate ((-150)/17)/((-3686)/31331). 75 What is the value of -43 - 3228/132 - (175/220 + (-3)/12)? -68 What is the value of (-5 + (-10)/((-90)/63))*9/(-2)? -9 Calculate 2024/1760 - (-50)/40. 12/5 What is 4 - (-1 + 10/2 + (-99008)/(-2304) + -43)? 1/36 What is 3 - 70 - (20 - 39) - (3 - (5 - 15))? -61 What is the value of (-19504)/(-371) - (2/35)/((9 + -11)/(-20))? 52 ((-4)/120)/((-23)/2645) + (-7)/(-42) 4 Calculate 2/4*7488/234. 16 What is ((-65)/13)/(((-2)/7)/(130/35 - 2))? 30 What is (-72)/276 - (-131600)/469200? 1/51 Calculate (1/((-651)/(-18)))/((-21285)/630 - -34). 4/31 What is the value of (3*(-4)/22)/((-22)/(-77))*252/(-294)? 18/11 (-7106)/1672 + (-1 - (-15)/(-6)) -31/4 What is the value of (-15458)/295*19/((-608)/(-80))? -131 Calculate 42/(-350)*495*(-78)/2106. 11/5 Evaluate (-33)/(-121) + (-306227)/(-46915). 34/5 Evaluate ((-16)/20 + (-3)/15)/(477 - 472). -1/5 (-707)/(-21) - (-16)/48*1 34 ((-3696)/(-96) + -38)*-40 -20 -106 + 20832/588 + 72 10/7 Evaluate (-22)/(-1) - (57 - (91 - 20)). 36 ((-4)/(-9))/(176/(-352)) - (2 - 690/27) 68/3 What is -44 + 115 - (-21 - 2)/(-1)? 48 What is ((-2)/(240/(-18)))/(176/60 + -3)? -9/4 What is the value of (-4997)/4997*31*(0 - (0 + -1))? -31 Evaluate 441/(-55) - ((-134)/10 + 5798/(-2230) + 8). -1/55 Calculate (-1604)/(-8822) - (-372)/(-2409). 2/73 Calculate (-4)/154 - (-178772)/230384. 3/4 328*44/(-176) - -51 -31 What is the
{ "pile_set_name": "DM Mathematics" }
. 2 Solve 4*w = -5*v, -3*v = -2*w + 496 - 518 for w. -5 Solve -f + 6 = 2*i, 40*i - 10 = 3*f + 64 for i. 2 Solve -2*y = -2*n - 20, 4*n - 90*y + 10 = -91*y for n. -4 Solve y + 4 = 0, 0 = -2*b - 60*y + 37*y + 26*y - 6 for b. -9 Solve -4*l - 302*u - 4 = -305*u, 3*u = 24 for l. 5 Solve -4*z + 10 = 5*m, 2*z - 977*m = -976*m - 16 for z. -5 Solve 2*h = 7*d + 2*d - 8*d - 5, -9*d = 28*h + 185 for h. -5 Solve -32 + 23 = -4*h + u, 5 = -5*u for h. 2 Solve -66*u = -63*u + 12*d - 75, 5*u = -4*d + 45 for u. 5 Solve 2*g = 3*r + 7, -4943*r + 16 = -4942*r + 3*g for r. 1 Solve -18 = -3*t, -791*v = -787*v - t + 22 for v. -4 Solve -5*p - 8*t + 8 = -2*t, 0 = 3*p + t + 3 for p. -2 Solve 0 = 3*i, l - 7 = 7*i + 6*i - 17*i for l. 7 Solve -t = -111 + 119, -v - 3 = -3*t + 4*t for v. 5 Solve 3 = 2*n - 32*w + 33*w, 2*w = -5*n + 8 for n. 2 Solve 3 = -6*j - 3*r, -1010*j = -1012*j + 5*r + 5 for j. 0 Solve -2*z + 4*r - 30 = 0, -16*r - 69 = -4*z - 169 for z. -5 Solve 0 = -3*k - d + 3, -401*k + d + 1 = -402*k for k. 2 Solve -2*c = 2*r + 20, 0 = 146*c - 147*c - 5*r - 34 for c. -4 Solve -3*v + 5*o = 9544 - 9528, -v + 23 = 4*o for v. 3 Solve 162*k + 4*n = 150*k + 68, -4*k + 1 = -3*n for k. 4 Solve -2*q - 5*h = -3*q + 12, 2715*h + 15 = -3*q + 2713*h for q. -3 Solve 4*u = -72*a + 64*a - 28, 3*u + a + 11 = 0 for u. -3 Solve 19*i + 15 = 24*i - 5*j, -31 = 9*j + 5 for i. -1 Solve -25 = -t - 4*s, 41*t - 8*s = 36*t - 15 for t. 5 Solve -2*i + 10 = 2*h, -13*i + 50 = 10*h - 17*i for h. 5 Solve -3*c - 9627 = 3*b - 9603, 2*b = 46*c + 224 for c. -5 Solve -4*j + 100 - 96 = 0, 0 = -a - 3*j - 2 for a. -5 Solve 5*b = 146*u - 158*u - 38, -5*b - 51 = -u for u. 1 Solve 59*d = 61*d - 2*w + 14, 0 = 2*d + 3*w - 11 for d. -2 Solve 5*j + 2*l = 9, -333*j + 12 = -330*j - l for j. 3 Solve 0 = 4*k + j - 19, 0 = k + 8*j - 5*j - 2 for k. 5 Solve -y + 7 = -3*c + 25, 4*y + 37 = 5*c for y. -3 Solve -2*d = 57*t - 60*t + 16, t - 21*d = -19*d for t. 8 Solve m - 3*n + 10 = 0, -94*n + 98*n = 4*m for m. 5 Solve -28*f = -34*f - 4*a - 8, -4*f = 2*a + 2 for f. 2 Solve 12*d + 4*q - 16 = 0, 2167*q - 2168*q + 10 = 5*d for d. 3 Solve 163 = a + 150, 2*a - 17 = -3*b for b. -3 Solve -204 = 3*j + 3*a - 240, -18 = -5*j - 2*a for j. -2 Solve -2 = -4*y - u, -y - 35*u - 3 = -33*u for y. 1 Solve -1381*c + 1379*c - 3*h = -3, 3*c + 2*h = 2 for c. 0 Solve -2*r + 4*h + 44 = 0, -3*h - 26 = 4743*r - 4748*r for r. -2 Solve -30 = 69*s - 74*s + 3*v, 0 = 2*v for s. 6 Solve 5*i = 3*s + 10, 8*s = -10*i + 5*i + 10 for i. 2 Solve -3*h - 24 = -3*s, 8*h + s - 30 = 11*h for h. -11 Solve 3*q + 42 = -5*r, 55 - 52 = -r for q. -9 Solve 0 = -4*q - 3*w - 28, -2826*q + 2827*q - 4*w = 12 for q. -4 Solve -1 = r, -144*o - 3 = -143*o - r for o. -4 Solve 2*q - 3*f = -27, 694*q = 693*q + 3*f - 24 for q. -3 Solve 2*b + 15 = 5*z, 4*b = -125025*z + 125024*z + 3 for b. 0 Solve 6*z - 67 = 3*i - 37, z + 5*i + 6 = 0 for z. 4 Solve -2*n - 2 = 4*l, 14*l - 11*l + 54 - 42 = -5*n for n. -3 Solve 0 = 5*v + 4*q + 19, -3*v + 579 - 586 = -2*q for v. -3 Solve 2*x - 16 = r, -36 = 2*r - 207*x + 202*x for r. -8 Solve 4*m - 5*i + 48 = 0, 8*m + i - 18 = 10*m for m. -7 Solve -3*h = 88*u - 173, h - 505 = -4*u - 498 for h. -1 Solve 3*h + 71 - 52 = 2*q, -2*h + 5*q - 31 = 0 for h. -3 Solve 3 + 37 = -4*r, -190 = 3*v + 19*r for v. 0 Solve 15*b + 10 = -15*b + 28*b - 2*z, 4*z = 0 for b. -5 Solve 25 = 4*o + m, m + 743 - 763 = -3*o for o. 5 Solve -5*u - 12 = -6249*n + 6253*n, -4*u = 5*n + 6 for u. -4 Solve -3*p + 123 - 86 = u, 0 = -5*u + p - 7 for u. 1 Solve 374*d = 4*t + 376*d + 12, 0 = -3*d + 6 for t. -4 Solve 22 = -6*o - 3*f + 10, -o + 5*f = 13 for o. -3 Solve -45*d = -44*d + w + 13, -3*d + w - 51 = 0 for d. -16 Solve -4642 + 4660 = n + 4*j, -
{ "pile_set_name": "DM Mathematics" }
wrt o. -360*o**3 + 24*o + 8352 What is the third derivative of 398*p**6 + 159*p**2 + p wrt p? 47760*p**3 Differentiate -1093*s + 986. -1093 Differentiate 5*p**3*q**2 - 35*p**3*q - p**3 - 691*p wrt q. 10*p**3*q - 35*p**3 Differentiate 238*j*l*y - 102*j*y + 6*j + l*y wrt l. 238*j*y + y Find the third derivative of 2644*k**6 + 130*k**2 + 9*k wrt k. 317280*k**3 What is the third derivative of -164*r**6 - 3*r**5 + 483*r**2 wrt r? -19680*r**3 - 180*r**2 What is the second derivative of 33*p**4 + 10*p**2 - p + 84? 396*p**2 + 20 Find the third derivative of 709*m**4*v**2 - 2*m**3*v - 69*m**2*v**2 + m*v wrt m. 17016*m*v**2 - 12*v Find the first derivative of 41*k*x - k + x + 30 wrt k. 41*x - 1 Find the first derivative of -104*k**2*l**2*t - 232*k**2*l + 2*k**2*t - 4*l**2 wrt t. -104*k**2*l**2 + 2*k**2 Find the third derivative of 5*d**2*x**3 + 3*d**2*x**2 + 6*d*x**5 - 4*x**2 + 3 wrt x. 30*d**2 + 360*d*x**2 What is the first derivative of 111*t**4 - 169 wrt t? 444*t**3 Find the third derivative of -3492*a**3*j**3*y - 2*a**2*j**3*y + 7*a**2*j**3 + 12*a*j**3 - j**3 wrt a. -20952*j**3*y Differentiate 3*d**4*j**3 - 31*d**2*j**3 + 3*d**2 + 2*j**3 - 2*j + 1379 with respect to d. 12*d**3*j**3 - 62*d*j**3 + 6*d What is the second derivative of -1117*r**4*x**2 - 3*r**3*x**3 - 65*r - x**3 wrt r? -13404*r**2*x**2 - 18*r*x**3 What is the third derivative of 131*o*t**3 + 2*o*t**2 + 237*o*t + 4*t**3 + 3*t**2 wrt t? 786*o + 24 What is the third derivative of -921*b**6 + 5*b**3 - 811*b**2? -110520*b**3 + 30 Find the second derivative of 5*f**2*x**2 + 2*f**2*x - 62*x**2 + 397*x wrt x. 10*f**2 - 124 What is the third derivative of -75*j*n**3 + 11*j*n**2*q**3 + 4*j*q**2 - 3*n**3*q**3 - 2*n**2*q**2 wrt q? 66*j*n**2 - 18*n**3 What is the third derivative of 2894*a**3 + 284*a**2 - 4? 17364 What is the second derivative of -11*b**3 - 550*b**2 - 33921*b wrt b? -66*b - 1100 Find the first derivative of 417*g**4 + 477. 1668*g**3 What is the third derivative of -106*i**3*k*o*t**2 - 2*i**3*o**2*t**3 - 2*i**2*k*o**2*t**3 + 4*i**2*k*o*t**3 - 5*i**2*o**2*t**3 - i*k*o*t + 2*o**2*t**3 wrt i? -636*k*o*t**2 - 12*o**2*t**3 What is the derivative of 3*l**3*s**2 - 5*l**3*s + 1785*l**3 - 3*l**2*s wrt s? 6*l**3*s - 5*l**3 - 3*l**2 What is the third derivative of -91*v**6 - 639*v**2? -10920*v**3 What is the derivative of 2*a*r**3*x**2 - 3483*a*r**3 + 5*r**3*x**2 - 1030*r*x**2 wrt a? 2*r**3*x**2 - 3483*r**3 What is the derivative of -d**2 - 147*d + 2183? -2*d - 147 Differentiate h**3*y**2 + 108*h**3*y - 18*y**2 + 2 wrt h. 3*h**2*y**2 + 324*h**2*y Find the first derivative of -19*z**4 - 39*z**2 + 896. -76*z**3 - 78*z What is the third derivative of 4*n**4*p**2 + 2*n**4*p + 153*n**4*t + 30*n**2*p**2*t - 2*n*p**2 + 3*n*p*t wrt n? 96*n*p**2 + 48*n*p + 3672*n*t Find the first derivative of 232*f**2*z + 126*f**2 + 3*z wrt z. 232*f**2 + 3 What is the third derivative of -74*u**3 + 5*u**2 + 11 wrt u? -444 Differentiate 120*x**4 - 2*x + 80 with respect to x. 480*x**3 - 2 What is the first derivative of 15796*z - 15538? 15796 What is the derivative of -17*c*d + 3*c - 2*d*w + w wrt d? -17*c - 2*w Differentiate -b*k**2 - 1927*b + 4025*k**2 wrt b. -k**2 - 1927 What is the second derivative of c*t**3 - 5*c*t**2 + c*t - t**2 + 81 wrt t? 6*c*t - 10*c - 2 What is the second derivative of -196*o**2*t**3 + 922*o*t**3 wrt o? -392*t**3 What is the first derivative of a**2*i*q*z - 2*a**2*i*z - 44*a**2*q*z + 2*a**2*z - 12*a**2 + 2*a*i*q*z + 4*a*i*z wrt q? a**2*i*z - 44*a**2*z + 2*a*i*z Find the second derivative of -2*h**2*m**2*y + h**2*y + 260*h*m**2*y - 2*h*m*y + 110*m wrt m. -4*h**2*y + 520*h*y Differentiate -96*c*d*p - 359*c*p + c*w - 7*d*p*w + p - 2*w wrt d. -96*c*p - 7*p*w What is the second derivative of 4*x**5 - x**4 + 33*x**2 - 6183*x wrt x? 80*x**3 - 12*x**2 + 66 What is the second derivative of 213*s**2 + s + 36? 426 Find the third derivative of -2*o*x**4 + o*x**3 + 37*o*x - 291*x**4 - 9*x**2 wrt x. -48*o*x + 6*o - 6984*x Find the first derivative of 6*n**2*t*w**2 - 23*n*t*w**2 + n*w - 7*t*w**2 + 2*t*w - 3*w**2 wrt n. 12*n*t*
{ "pile_set_name": "DM Mathematics" }
2*-2)/((sqrt(72) + sqrt(8) + sqrt(8))*-6). -2*sqrt(17)/15 Simplify ((3*sqrt(539))**2 - sqrt(539) - (sqrt(99) + -5))*-1. -4856 + 10*sqrt(11) Simplify (1*sqrt(891) + 5 + 2)**2. 126*sqrt(11) + 940 Simplify (-4 + (sqrt(68)*-2*1)/sqrt(4))**2. 16*sqrt(17) + 84 Simplify ((sqrt(1700) + 1 - sqrt(1700))**2 - sqrt(17)) + (sqrt(68)*-1)/sqrt(4). -2*sqrt(17) + 1 Simplify sqrt(143)/((sqrt(2816) + sqrt(44))/sqrt(4))*5. 5*sqrt(13)/9 Simplify (5 + sqrt(425)*-1)**2 - 2*sqrt(425)*-1. -40*sqrt(17) + 450 Simplify (sqrt(112) + sqrt(112)*1 + 3)**2. 48*sqrt(7) + 457 Simplify 4 + (-5 + -1*(0 + 1*sqrt(13) + sqrt(13)))**2. 20*sqrt(13) + 81 Simplify sqrt(42)/((sqrt(24) - sqrt(864))/sqrt(4)). -sqrt(7)/5 Simplify 5*(sqrt(19) + (-1*sqrt(133))/sqrt(7))**2. 0 Simplify ((sqrt(539) - (sqrt(539) + 4*(1*sqrt(539))**2 + sqrt(539)) - sqrt(539) - sqrt(539)) + -4)*-3. 63*sqrt(11) + 6480 Simplify 4*3*sqrt(539) - sqrt(539) - (sqrt(539) + (sqrt(539) - (sqrt(539)*-3 + sqrt(539) + sqrt(539) + sqrt(539)) - sqrt(539)))**2*5. -2695 + 77*sqrt(11) Simplify (sqrt(242) + 1)**2 + (sqrt(2) + sqrt(2) + -2)*2. 26*sqrt(2) + 239 Simplify 2*(3*(1 + sqrt(288) - sqrt(288)) - sqrt(288) - (sqrt(288) + (sqrt(288) - (sqrt(288) + sqrt(288) + 0 + -5) - sqrt(288))**2 + sqrt(288))). -2348 + 408*sqrt(2) Simplify (sqrt(792)*1 - sqrt(22))/(4*(1*sqrt(11) + sqrt(11))). 5*sqrt(2)/8 Simplify sqrt(1377)*-2 + 0 - (sqrt(153) - (-3 + sqrt(153)*-2 + sqrt(153)))**2. -621 - 54*sqrt(17) Simplify 1*sqrt(1053) - (5 + sqrt(26)/sqrt(2)). -5 + 8*sqrt(13) Simplify 1*sqrt(52)/(sqrt(36) + sqrt(4)). sqrt(13)/4 Simplify ((3*(sqrt(104) + sqrt(104)*-2) + sqrt(104))/sqrt(8)*2)**2. 208 Simplify (-3*sqrt(1100)*2)**2. 39600 Simplify (-4*sqrt(130) - sqrt(130))/sqrt(10) + 5 + 0. -5*sqrt(13) + 5 Simplify -6*(sqrt(13) + 1) + -1. -6*sqrt(13) - 7 Simplify ((1*sqrt(540))/(2*sqrt(1200) + sqrt(1200)))**2*5. 1/4 Simplify (sqrt(110)*2 - sqrt(110))/sqrt(10) - (sqrt(22)/(sqrt(8) + sqrt(2)))**2. -11/9 + sqrt(11) Simplify sqrt(200)/sqrt(196) + ((sqrt(7200) + -3 + sqrt(7200))**2 - sqrt(7200) - sqrt(7200)). -5875*sqrt(2)/7 + 28809 Simplify -2 + sqrt(11)*-2*4 + (sqrt(396) - 5*(sqrt(396) + 0)**2). -1982 - 2*sqrt(11) Simplify (((sqrt(475) - (sqrt(475) + (sqrt(475) - (0 + sqrt(475) + 0)))) + -1)*-4)**2. 16 Simplify (sqrt(225)/sqrt(5)*-3 - sqrt(45))/((3*sqrt(99))/sqrt(11)). -4*sqrt(5)/3 Simplify (1*sqrt(324))/(sqrt(2) + (sqrt(10)/sqrt(5) + sqrt(2))*-2). -3*sqrt(2) Simplify (sqrt(475) - sqrt(475)*2)**2 + (sqrt(475))**2 + 5. 955 Simplify sqrt(847) + ((-1 + -2*sqrt(847) + sqrt(847) - sqrt(847)) + sqrt(847))**2 + (sqrt(847) - (-1 + sqrt(847)))*-4. 33*sqrt(7) + 844 Simplify 4 + sqrt(228)/((-3*sqrt(132))/sqrt(11)). -sqrt(19)/3 + 4 Simplify 5*-4*(sqrt(175) + sqrt(175) + -1 + sqrt(175)). -300*sqrt(7) + 20 Simplify (5 + 2 + sqrt(847)*2)**2 + 3. 308*sqrt(7) + 3440 Simplify 3 + (-2*sqrt(1088) - sqrt(1088)). -24*sqrt(17) + 3 Simplify ((sqrt(14)/(sqrt(7)*-1) - sqrt(2)) + -4)*-1. 2*sqrt(2) + 4 Simplify sqrt(1008) + 1 - 3*sqrt(28)/sqrt(4). 1 + 9*sqrt(7) Simplify (sqrt(24)/(sqrt(12) + sqrt(60)/sqrt(5)*-6))**2 + 1. 27/25 Simplify (-2*(sqrt(325) + 0))**2*-4 + 4. -5196 Simplify (sqrt(243) + -1)**2 - (-5*sqrt(3) + 3). -13*sqrt(3) + 241 Simplify (sqrt(13) + sqrt(13) + 0 - sqrt(13))*-4 + 1. -4*sqrt(13) + 1 Simplify (3 + 1 + (sqrt(168)/sqrt(4))/sqrt(6))**2. 8*sqrt(7) + 23 Simplify 2*sqrt(1900) + 5. 5 + 20*sqrt(19) Simplify (sqrt(1088)*-1*-4 - (0 + 2*sqrt(1088))**2) + -2. -4354 + 32*sqrt(17) Simplify sqrt(99) - (sqrt(99) + -1 + -5). 6 Simplify -6*((sqrt(20)/sqrt(4)*6)**2 - sqrt(30)/(sqrt(12)/sqrt(2))). -1080 + 6*sqrt(5) Simplify (sqrt(102)*-1)/sqrt(6) + sqrt(68)*1. sqrt(17) Simplify ((sqrt(85)/sqrt(5)*-4 - (sqrt(119) - (sqrt(119) - (sqrt(119) - (sqrt(119)*1 + sqrt(119))) - sqrt(119)) - sqrt(119))/sqrt(7))*5)**2. 3825 Simplify sqrt(95)/((sqrt(1620) - sqrt(45))/sqrt(9)). sqrt(19)/5 Simplify -2 + (3*sqrt(847) - sqrt(847))**2. 3386 Simplify (sqrt(26) + (-2*sqrt(182))/sqrt(7) - sqrt(26))/(sqrt(98)*1). -2*sqrt(13)/7 Simplify sqrt(78)/(sqrt(6) + sqrt(216)/sqrt(4)). sqrt(13)/4 Simplify (sqrt(152) + (sqrt(152)*-1 + sqrt(152))*4)/(sqrt(16)/sqrt(2)*-2). -sqrt(19)/2 Simplify (((sqrt(66) - sqrt(66)*2)*-1)/((sqrt(72)*1)/sqrt(12)))**2. 11 Simplify -5*sqrt(170)/sqrt(90). -5*sqrt(17)/3 Simplify (4 + sqrt(49)/(sqrt(7) + (sqrt(567) - sqrt(7))))*4. 4*sqrt(7)/9 + 16 Simplify sqrt(36)/(-1*sqrt(12)) + -1 + sqrt(3) + sqrt(12). -1 + 2*sqrt(3) Simplify 6*((sqrt(432) - (-2*sqrt(300))**2) + 4). -7176 + 72*sqrt(3) Simplify (-1 + (sqrt(5) - sqrt(20)/sqrt(4)))**2 + sqrt(5) + (sqrt(320) - (0 + sqrt(
{ "pile_set_name": "DM Mathematics" }
1)*-3)**2. 9216*sqrt(11) + 103680 Simplify (sqrt(1872) + (sqrt(1872) - (sqrt(1872)*2 + 4) - sqrt(1872))**2 + 0 + (-1*sqrt(1872)*2)**2*6)*-1. -52432 - 204*sqrt(13) Simplify ((sqrt(208)*-2)/sqrt(4) + sqrt(104)/sqrt(2)*-2)/(-1*sqrt(400)*-2 + sqrt(400)). -2*sqrt(13)/15 Simplify sqrt(21)/(sqrt(7)*-2*-1) + sqrt(30)/sqrt(10) + -3 + 3. 3*sqrt(3)/2 Simplify 2*((sqrt(171) - (sqrt(171) + (sqrt(171) - sqrt(171)*-2) + 2)) + sqrt(171) + sqrt(171) + 2 + -2)*6. -36*sqrt(19) - 24 Simplify 3*2*(sqrt(288) + (6*-2*sqrt(288) - sqrt(288))). -864*sqrt(2) Simplify ((1*(sqrt(132) + sqrt(132) + (3*sqrt(132)*1 - sqrt(132))))/((sqrt(300) + -2*sqrt(300))*-2))**2. 44/25 Simplify 4*(sqrt(612) + -2) + sqrt(34)/(sqrt(242) - (2*sqrt(242) + sqrt(242))). -8 + 527*sqrt(17)/22 Simplify sqrt(88)/(sqrt(24)/sqrt(3))*-5 + 5*(sqrt(891) + sqrt(891) + -1). -5 + 85*sqrt(11) Simplify (3*(sqrt(84) + -1*sqrt(84)) - -5*(sqrt(84) - sqrt(84)*-1))/(sqrt(96)/sqrt(32)*-3). -20*sqrt(7)/3 Simplify ((sqrt(1500)*2 - sqrt(15))/(sqrt(1250)/sqrt(10)))**2. 1083/25 Simplify (-2 + -2 + (sqrt(300) + (sqrt(300) - (0 + sqrt(300))))*6)**2 + 3. -480*sqrt(3) + 10819 Simplify (sqrt(114) - (sqrt(114) + -5*sqrt(114)*-3))/(sqrt(60)/sqrt(10)*6). -5*sqrt(19)/2 Simplify (sqrt(252)/(3*sqrt(6) + sqrt(6))*-4)/((sqrt(1200) - 1*sqrt(1200) - sqrt(1200))/sqrt(8)). sqrt(7)/5 Simplify 2*((sqrt(99) - sqrt(99)*2*3) + -2*(sqrt(99) + 2) + 0)**2. 336*sqrt(11) + 9734 Simplify (1*sqrt(700)*1)**2 + -2 + 4*(((-2*sqrt(700) + sqrt(700))**2 - sqrt(700))*5 - sqrt(700) - sqrt(700)). -280*sqrt(7) + 14698 Simplify (sqrt(40) + (-1*sqrt(400))/sqrt(10))/(sqrt(8) + (-3*sqrt(64))/sqrt(8)) + 0. 0 Simplify (sqrt(684)*-4 - sqrt(19)*-3*5) + (-4*2*sqrt(114))/(sqrt(216)/sqrt(4) - sqrt(6)). -13*sqrt(19) Simplify ((sqrt(3240)/sqrt(10) + sqrt(4))/((sqrt(50) - -4*sqrt(50)) + sqrt(2) + sqrt(2)))**2. 200/729 Simplify (-1*(sqrt(425) + sqrt(425) + sqrt(425)*1) + (3 + sqrt(17) + 1 + sqrt(17) - (sqrt(204)/(sqrt(12) + sqrt(12)*2 + sqrt(12) + sqrt(12)) + sqrt(17))))**2. -568*sqrt(17)/5 + 86097/25 Simplify -5 + ((sqrt(1573) - (-3 + sqrt(1573) - sqrt(1573)))*-1)**2 + 3 + 5. 66*sqrt(13) + 1585 Simplify (sqrt(187) + sqrt(187) + -4*(sqrt(187) - sqrt(187)*-2) + 5*-2*sqrt(187))/((sqrt(110)*-1*3)/sqrt(10)). 20*sqrt(17)/3 Simplify (-1*(-5 + sqrt(125) + 1 - (-1 + sqrt(125) + 1))*-2*5)**2. 1600 Simplify sqrt(50)/((sqrt(160) - sqrt(10)) + sqrt(10)) - (sqrt(720)*-1)**2 - (3 + sqrt(180) + 0). -723 - 23*sqrt(5)/4 Simplify (2 + 0 + (6*sqrt(68)*2)**2*-5)*1. -48958 Simplify (5*(-4 + ((-3 + sqrt(2448) + sqrt(2448))*-4 - sqrt(2448))) + -2)**2. -41040*sqrt(17) + 4958644 Simplify ((sqrt(350)/((sqrt(10) + 2*sqrt(10))*-6))/(sqrt(500) + 2*1*sqrt(500)))**2. 7/291600 Simplify (0 + 1*sqrt(175) + 4)*-1 + 0. -5*sqrt(7) - 4 Simplify ((-6*3*(-2*sqrt(75) + -2))**2 + -5)*3. 38880*sqrt(3) + 295473 Simplify ((3 + -3*sqrt(1053) - (-1 + -1 + sqrt(1053)))*-1)**2. -360*sqrt(13) + 16873 Simplify -5*(-1 + -2 + sqrt(2)*-3*3 + sqrt(32)*1). 15 + 25*sqrt(2) Simplify (-4*(sqrt(208) + -2 + sqrt(208) + -2))**2*-5. -67840 + 5120*sqrt(13) Simplify (((sqrt(33) - -5*sqrt(33))*5)/(sqrt(3) - (sqrt(33)/(sqrt(11)*-5) - sqrt(3))))**2. 22500/11 Simplify -2*(3 + (sqrt(5) - (sqrt(30)/sqrt(6) + 4)**2) + sqrt(5) + ((0 + sqrt(5))*1)**2). 26 + 12*sqrt(5) Simplify (6*4*sqrt(231)/sqrt(7))/(sqrt(11)*1*-2 - ((sqrt(44) + sqrt(176)/sqrt(4) - sqrt(11)) + sqrt(11))). -4*sqrt(3) Simplify (-2*((sqrt(2) - (-3*sqrt(2)*-4 + sqrt(2)) - sqrt(32)*-1) + 4 + 0))**2. -256*sqrt(2) + 576 Simplify (((-3*sqrt(55))/sqrt(5) + -3 + sqrt(539))*-6)**2. -864*sqrt(11) + 6660 Simplify ((1 + (1 + sqrt(1216))**2 - (((-1 + 2*sqrt(1216) + sqrt(1216))**2 - sqrt(1216)) + sqrt(1216))) + 1)*-6. -384*sqrt(19) + 58356 Simplify ((-4*(-1*sqrt(5082) + sqrt(5082) - sqrt(5082)))/((sqrt(294) - sqrt(294)*2 - sqrt(294))*6))**2. 121/63 Simplify (2*sqrt(52) - sqrt(13))**2 + -3 - (sqrt(117)/(sqrt(9) + sqrt(54)/sqrt(6)))**2*2. 215/2 Simplify (4*1*((5 + 2*sqrt(7) - (0 + sqrt(252))) + 0)*5)**2. -16000*sqrt(7) + 54800 Simplify (-5 + (0 + sqrt(2448) + -3)*-4)**2. -672*sqrt(17) + 39217 Simplify sqrt(5)*2*5 + -5 - (sqrt(45)/sqrt(324))**2*6. -35/6 + 10*sqrt(5) Simplify -2 + (-3 + sqrt(75) + -1 + -2 - 4*-3*-1*sqrt(75))**2. 660*sqrt(3) + 9109 Simplify 6*(2*((sqrt(9) - sqrt(81))*-2)/sqrt(3) + -1)*-3. -144*sqrt(3) + 18 Simplify 5*((4*(sqrt(684) + 1 + sqrt(684)))**2 + sqrt(684)*-1 + 0). 1890*sqrt(19) + 218960 Simplify (3*sqrt(675)*-1)/(sqrt(441) - (sqrt(441) - -5*sqrt(441)*-2)). -3
{ "pile_set_name": "DM Mathematics" }
55 Simplify (-3 + (sqrt(432) - sqrt(432)*2) + -5*(sqrt(432) - sqrt(432)*3 - sqrt(432)))**2. -1008*sqrt(3) + 84681 Simplify ((sqrt(99) + -1 + sqrt(99))*2)**2. -48*sqrt(11) + 1588 Simplify 6*((sqrt(13) - (-3*sqrt(637) - sqrt(13)))**2 + (sqrt(13) + -1)*-2). -12*sqrt(13) + 41274 Simplify (-2*sqrt(700) + 2 - sqrt(700))**2. -120*sqrt(7) + 6304 Simplify (sqrt(22)/(sqrt(99)*1))**2 - (3 + sqrt(32) + sqrt(2) + (-3 + sqrt(32))**2). -394/9 + 19*sqrt(2) Simplify (-3*(sqrt(242) + -1))**2. -198*sqrt(2) + 2187 Simplify ((sqrt(700) + sqrt(700)*-3)*3*1)**2. 25200 Simplify -5 + (sqrt(243)*-1 + sqrt(3))**2. 187 Simplify (sqrt(405) - (sqrt(405) + 4)**2) + sqrt(25)/(sqrt(5) - sqrt(125)). -421 - 253*sqrt(5)/4 Simplify (sqrt(10)/(sqrt(6)/sqrt(3)) + 1)**2. 2*sqrt(5) + 6 Simplify (sqrt(4455)*-1)/sqrt(5). -9*sqrt(11) Simplify 4*((sqrt(5) - ((sqrt(5) - (sqrt(50)/sqrt(2))/sqrt(5)) + sqrt(5)))**2 - sqrt(5)) - (sqrt(225)/sqrt(80))/sqrt(9). -17*sqrt(5)/4 Simplify (sqrt(637) + 4*sqrt(637))**2 + sqrt(13) + 1. sqrt(13) + 15926 Simplify -2*sqrt(648)/sqrt(9). -12*sqrt(2) Simplify sqrt(39)/(sqrt(27)/sqrt(9))*-4. -4*sqrt(13) Simplify (6*(sqrt(136) + 1*sqrt(136) + sqrt(136) + sqrt(136)))/(2*sqrt(128)). 3*sqrt(17) Simplify sqrt(60)/(sqrt(24)/sqrt(2)*-6). -sqrt(5)/6 Simplify sqrt(50)/(sqrt(70)/sqrt(28)) + 5. 2*sqrt(5) + 5 Simplify ((sqrt(140) - (1*sqrt(140) - sqrt(140)))/sqrt(4))/sqrt(7). sqrt(5) Simplify (sqrt(110) + (-1*sqrt(110) + sqrt(110) + sqrt(110))*5)/sqrt(10). 6*sqrt(11) Simplify (-4 + -5*(sqrt(19) + -3 + sqrt(19)))**2. -220*sqrt(19) + 2021 Simplify (sqrt(5)*-2*5)**2 + sqrt(5) + sqrt(5) + (sqrt(80) + 3)**2. 26*sqrt(5) + 589 Simplify -2 + -2*sqrt(27). -6*sqrt(3) - 2 Simplify (sqrt(162) + sqrt(162)*-1)*-1 - sqrt(162). -9*sqrt(2) Simplify (sqrt(567) - (-4 + (sqrt(567) - sqrt(567)*2)))**2 - (sqrt(567) + -1)*4. 108*sqrt(7) + 2288 Simplify 6*(-6*sqrt(147) + sqrt(3)). -246*sqrt(3) Simplify ((sqrt(1053)*2 + 5)*-6)**2. 6480*sqrt(13) + 152532 Simplify (2 + sqrt(704)/sqrt(4))*4. 8 + 16*sqrt(11) Simplify ((-3*(1 + sqrt(242)) - 5*-1*sqrt(242))*-3)**2. -1188*sqrt(2) + 8793 Simplify (4*sqrt(176)/sqrt(4) - (sqrt(176) + 0)) + 5. 5 + 4*sqrt(11) Simplify ((sqrt(240) + sqrt(240)*-2)/sqrt(4))/((1*sqrt(144) + sqrt(144) + sqrt(144))/sqrt(12) + sqrt(12)). -sqrt(5)/4 Simplify 4*(sqrt(192) - sqrt(3))*6. 168*sqrt(3) Simplify (sqrt(48) + sqrt(12) + sqrt(12) + sqrt(3))**2 + -2. 241 Simplify (-5*1*(sqrt(19)*-1 - sqrt(19)))**2. 1900 Simplify (((sqrt(1573) - (sqrt(1573) + 0 + sqrt(1573))) + sqrt(1573))**2 - sqrt(1573))*-1. 11*sqrt(13) Simplify sqrt(5) + 2 + sqrt(125) - (sqrt(180) + 4). -2 Simplify 0 + (sqrt(162) - (-1 + sqrt(162) + 1) - sqrt(162)). -9*sqrt(2) Simplify ((sqrt(18)/sqrt(3))/sqrt(2) - sqrt(3)) + (sqrt(3) + sqrt(27)/(sqrt(9)*2))**2. 27/4 Simplify -5 + sqrt(1300) + (-1*sqrt(1300)*3)**2 + 2. 10*sqrt(13) + 11697 Simplify (3*sqrt(119) - sqrt(119))/sqrt(7) - ((sqrt(17) - (-1 + sqrt(612)))**2 - sqrt(17)). -426 + 13*sqrt(17) Simplify (((sqrt(156)*2)/sqrt(12))**2 + (sqrt(468))**2)*6. 3120 Simplify (-4*-2*-2*sqrt(704))**2. 180224 Simplify (sqrt(405) + -1 + 1)**2. 405 Simplify 1*sqrt(11) + 2 + sqrt(1584) + sqrt(1584) + 1. 3 + 25*sqrt(11) Simplify ((sqrt(66)/sqrt(2)*3)/(-2*sqrt(44)) + -5)**2. 15*sqrt(3)/2 + 427/16 Simplify 3*sqrt(2448)*6. 216*sqrt(17) Simplify (-3 + sqrt(34)/(2*sqrt(2)))**2. -3*sqrt(17) + 53/4 Simplify 4 + -4*sqrt(1216) + sqrt(1216). -24*sqrt(19) + 4 Simplify ((-2*sqrt(400))/(-2*sqrt(605)))**2. 80/121 Simplify 3*(-2*sqrt(468))**2*-4. -22464 Simplify -3*((-5*sqrt(56)*-3)/sqrt(8))**2. -4725 Simplify (-1 + sqrt(833))**2*-2. -1668 + 28*sqrt(17) Simplify -3 + (sqrt(5) + 3 + sqrt(5) + -1 - sqrt(5)). -1 + sqrt(5) Simplify (-4*(sqrt(171) + 0 + 4)*5)**2. 9600*sqrt(19) + 74800 Simplify (-2*sqrt(1872))**2 - 3*sqrt(117). -9*sqrt(13) + 7488 Simplify sqrt(99)/(sqrt(9) + sqrt(9)*-1 - sqrt(9))*4. -4*sqrt(11) Simplify (sqrt(33) - (sqrt(33) - sqrt(396)/(sqrt(12) - sqrt(108))))/(sqrt(99)/(1*sqrt(9) + sqrt(9) - sqrt(9))). -sqrt(3)/2 Simplify ((sqrt(28)*6)**2 - (3 + -1*sqrt(7))**2) + sqrt(252)/sqrt(4) + -1. 9*sqrt(7) + 991 Simplify (sqrt(75) + 1 + sqrt(75)*-2)**2. -10*sqrt(3) + 76 Simplify ((sqrt(190) + (sqrt(190)*-2 - sqrt(190)) + sqrt(190) + sqrt(190))*4)/(sqrt(30)/(sqrt(3)*-2)). 0 Simplify (1 + sqrt(1900) + 2 + (-1 + sqrt(1900))*-6)**2. -900*sqrt(19) + 47581 Simplify -2*(-2 + sqrt(200)). -20*sqrt(2) + 4 Simplify ((sqrt(3) + -1)*1)**2 - (sqrt(75) + 0). -7*sqrt(3) + 4 Simplify sqrt(99) - ((sqrt(99)*2 - sqrt(99))*-2)**2. -396 + 3*sqrt(11) Simplify 0 + -
{ "pile_set_name": "DM Mathematics" }
+ k and give t. 44 Rearrange (2*x + 2*x - 2*x)*(-95 - 16*x + 95) to l*x**2 + s + v*x and give l. -32 Express (w**3 - 3*w**3 + w**3)*(4 + 2 - 4) + (0*w**3 - 5*w**3 + 4*w**3)*(6 - 3 + 4) as g*w**2 + f + h*w + s*w**3 and give s. -9 Rearrange 10*r + 3*r**3 - r**4 - r**4 - 2 - 9*r + r**2 to u*r**2 + h + k*r + x*r**4 + t*r**3 and give x. -2 Rearrange 15*i**3 - i - 3*i**2 + 3 - 8*i**3 - i + i**4 - 9*i**3 to the form f*i**3 + a + b*i + k*i**4 + o*i**2 and give k. 1 Rearrange -5*s + 2 + 0 + 2*s + s - 7*s**2 to the form l*s + j + w*s**2 and give l. -2 Rearrange 23*r - 5*r**3 + 2*r**2 - 5 - 29*r + 5*r to the form m*r**3 + a*r + d + o*r**2 and give a. -1 Rearrange 11*s**2 + 4*s**2 - s**2 to the form p + a*s + y*s**2 and give y. 14 Express -59 + 59 + 26*r as k*r + s and give k. 26 Express 40*z**4 + 16*z**4 - 15*z**4 + (1 - 1 + z)*(2*z**2 + 2*z**3 - 2*z**2) in the form u + x*z**4 + s*z**2 + y*z**3 + n*z and give x. 43 Express 2*n**2 - n**2 + 9*n**2 + 6*n**2 in the form y*n + k*n**2 + f and give y. 0 Express (2 - 2*r**2 - 2)*(2*r - 2 + 2) + r**3 - 3*r**2 + 8*r**3 - r**2 as f + m*r + y*r**2 + v*r**3 and give y. -4 Rearrange 3*o**4 + 3*o**3 - 2 - 1 + 1 + 2*o - 9*o**3 to y*o**3 + c*o + p*o**4 + v + f*o**2 and give y. -6 Rearrange (2*y + y**2 - 2*y)*(-2*y - y + 2*y)*(0 - 2 + 5)*(y + 2*y - 4*y) to the form v*y**4 + c*y**2 + k*y + d + o*y**3 and give v. 3 Express 0*d - 18*d + 0*d in the form x*d + k and give x. -18 Express (h - 8 + 8)*(4 - 4 - 2)*(2*h**2 + h**2 - 6*h**2) in the form r*h + t*h**2 + k*h**3 + c and give c. 0 Rearrange j**2 + 164 + j - 2*j - 165 to n*j + w*j**2 + u and give u. -1 Rearrange (-3 + 0 + 5)*(10*o**3 - 7*o**2 - 2*o**2 + 7*o**2) + 4*o**3 + 0*o**3 - o**3 to the form y*o**2 + g + a*o**3 + u*o and give g. 0 Rearrange -9 - 3*i**3 + 0*i**3 + 1 + 2*i**3 to the form z*i**2 + y*i + d + h*i**3 and give h. -1 Rearrange (13 + 1 - 3)*(w + w + w)*(-3*w + 3*w + 2*w**2) to l + q*w**2 + k*w + t*w**3 and give t. 66 Rearrange -4*u**4 + 1 + 3*u**4 - 55*u**2 - u + 55*u**2 to the form s*u**3 + o*u**2 + d*u**4 + b + m*u and give b. 1 Express (0 - 5 + 2 + (-3 + 2 + 2)*(-6 - 1 + 5))*(1 - 2 - 1)*(-2*c**2 + 14*c**2 - 6*c**2) as r*c + m*c**2 + g and give m. 60 Express (-q**3 + 3*q**3 - 3*q**3)*(2*q + 0*q - 3*q) - 402 + 20*q**4 + 402 as v*q + z*q**3 + j*q**4 + u + p*q**2 and give j. 21 Rearrange 2*a**2 - 4*a**2 + 6*a**2 - 48*a - 5*a**2 to the form r*a**2 + h + m*a and give m. -48 Rearrange -2*j**4 + 15*j**2 + 0 + 4*j**4 + 1 to the form u*j**2 + q*j**3 + l*j**4 + r*j + k and give k. 1 Express 5*i + i - 4*i + 3 - 2*i - 3 + (-i - 4*i + 4*i)*(0 + 0 - 1) as a + h*i and give h. 1 Express (-9 + 9 + 5*j)*(3 - 2 - 4) + (0*j + 0*j - j)*(-1 - 2 + 4) in the form x*j + v and give x. -16 Rearrange 17*f**2 - f**3 - 44*f**2 + f**2 + f - 23*f**2 to the form n*f**2 + y*f + h*f**3 + u and give h. -1 Express t**2 - 8 - 1 + 10 - 4*t**3 as f*t**2 + b*t**3 + g*t + p and give p. 1 Rearrange -8 - 18*n + 6*n**4 + 2*n + 14*n to the form u*n**4 + q*n**2 + h + v*n + y*n**3 and give v. -2 Rearrange (0 - 1 + 4)*(b + 5 - 4*b + 4*b) to r*b + n and give n. 15 Rearrange -2*f**3 + 4*f - 2*f + 2*f**2 - 4*f**2 + (-1 - 2 + 5)*(4*f**3 - 4*f**3 - 2*f**3) to the form d + g*f**3 + n*f**2 + k*f and give k. 2 Rearrange (1 - b - 1)*(-3 + 3 - 5*b) + (-2 + 2 + b)*(-1 + 5*b + 1) to the form m + h*b**2 + c*b and give h. 10 Express 4*u - u**2 - 2*u**2 + u**2 + 3*u**2 in the form w + d*u**2 + p*u and give p. 4 Express 1 + 2 - 3*k**3 + 10*k**3 as m*k + a + s*k**3 + l*k**2 and give a. 3 Express 6 - 2*y + 4 + 8*y**3 + 5*y - 12 as p + n*y**3 + c*y + q*y**2 and give c. 3 Rearrange -k**2 + 2 - 4*k**4 + k**3 - 2 + 2 + 2*k to j*k**2 + g*k**4 + s*k**3 + o*k + b and give s. 1 Rearrange 387*o - 182*o - 112*o to the form x + s*o and give s. 93 Express (36*p**2 - 17*p**3 - 36*p**2)*(2*p - 5*p + p) - 1 - 3*p**4 + 1 in the form v*p**3 + f*p**2 + i*p**4 + t*p + c and give i. 31 Rearrange -8 + 10 + 93*u - 2 to the form h
{ "pile_set_name": "DM Mathematics" }
h. Calculate the highest common divisor of t and d. 10 Suppose 5*x + 0*v + 4*v - 1673 = 0, -x - 5*v + 343 = 0. Suppose 0 = -3*i - 3, -4*r + 4*i + 132 = -20. What is the greatest common factor of x and r? 37 Let k = 126 + 14. What is the greatest common divisor of k and 28? 28 Suppose 9*c = 11*c + 6, -4*a + 4*c = -44. Calculate the greatest common divisor of 40 and a. 8 Suppose 4*c = 4*k + 100, -k + 66 = 64. Suppose -d - 2*d + 162 = 3*v, -162 = -3*d + 4*v. Calculate the greatest common factor of c and d. 27 Let f = -69630 - -69679. Let k(r) = r**2 - 8*r + 4. Let d be k(4). Let o = d - -19. What is the greatest common divisor of f and o? 7 Let o = 26499 + -26493. Let f = 5 - 2. What is the greatest common divisor of f and o? 3 Suppose -2*r - 76 = 3*y, y - 2*y + 2*r - 12 = 0. Let d be 3 + 4/y + 774/22. What is the greatest common divisor of d and 38? 38 Suppose -16*t + 1158 = 326. What is the greatest common factor of 39 and t? 13 Let b = 66 - 14. Let a = b - 16. Calculate the highest common divisor of a and 9. 9 Let a = 238 + -235. Calculate the greatest common divisor of 27 and a. 3 Let o(v) = 6*v**2 + 21*v - 18. Let d be o(15). What is the highest common factor of 54 and d? 27 Let f be 574/70 - (3 - (-28)/(-10)). What is the highest common divisor of 260 and f? 4 Let u = 231 + -210. Calculate the greatest common factor of u and 1743. 21 Let u(h) be the second derivative of -1/20*h**5 + 3*h + 0 - 13/2*h**2 + 2/3*h**3 + 3/4*h**4. Let r be u(9). Calculate the highest common divisor of 207 and r. 23 Let u = -14 - -31. Let i = -294 - -481. What is the highest common factor of i and u? 17 Let d be -1 - (6/(-2) - 97). Let q(x) = 10*x**2 + 5 - 2*x**2 + x**3 + 15 - 8*x. Let o be q(-9). What is the greatest common factor of o and d? 11 Let m = -1207 + 1262. What is the greatest common factor of m and 396? 11 Let m be (-161)/(-35) - 27/45. Let j = -1 + 2. Calculate the greatest common divisor of m and j. 1 Let m = -9 - -14. Suppose -2*d = -m*d. Let w be -2 - (20 + d)/(-1). What is the highest common divisor of 144 and w? 18 Suppose 138*p = 130*p + 360. What is the highest common divisor of p and 90? 45 Let c = 9 - 9. Let l be (-7)/(c + (-3)/27). What is the highest common divisor of 9 and l? 9 Let l = -547 + 558. Suppose -223 = -3*x - 4*z, 150 = 4*x + 3*z - 152. What is the highest common divisor of x and l? 11 Let w be -168*(-17)/((-357)/(-18)). What is the highest common divisor of 180 and w? 36 Let p(m) = 5*m**2 - 2*m + 2. Let h be p(1). Suppose -h*k = -3*u - 3*k + 15, 2*u - 2*k - 8 = 0. Calculate the highest common factor of 7 and u. 7 Let x be (-1 - 1) + -1 + 6. Suppose v + 10 = -x*v - 2*t, 2*t + 4 = -v. Let b = v - -17. What is the highest common factor of b and 30? 15 Suppose 2*o - 4 = -4*h, 0 = 4*o + 2 + 6. Suppose 6*x - 8 = h*x. What is the greatest common factor of 16 and x? 2 Let q(n) = -n**3 - 2*n**2 - 2*n + 1. Let x be q(-3). Let k = x + 0. Calculate the greatest common divisor of 2 and k. 2 Suppose -10 + 2 = -b. Suppose 523*o = 562*o - 312. Calculate the highest common divisor of o and b. 8 Suppose -53 = -4*w + 127. What is the highest common divisor of w and 72? 9 Let f be (-216)/36 - -1*24. What is the greatest common factor of f and 354? 6 Suppose -4*w - 4*c + 1184 = 0, 0 = -w - c - 2*c + 294. Suppose 4*a = a + w. What is the highest common factor of a and 11? 11 Let l be 69/(4*9/132). What is the highest common factor of l and 46? 23 Let s = 128 - 84. Let p = 89 - s. What is the highest common divisor of p and 5? 5 Suppose 5*r - 112 = 48. What is the highest common factor of r and 4? 4 Suppose 29*m = 22*m + 77. Suppose p = 4*d - 8 + 27, 18 = 2*p + 2*d. What is the greatest common factor of p and m? 11 Suppose -5*x + 6*x = 50. Calculate the highest common factor of 20 and x. 10 Let t(k) = -3*k + 158. Let y be t(20). Let g be -4 + 0 - -2 - -16. What is the highest common factor of y and g? 14 Let o(t) = -9*t - 2. Let k be o(2). Let b = 26 + k. Calculate the highest common divisor of b and 15. 3 Let g(c) = -c**3 + c + 6. Let y be g(0). Suppose 103*r - 288 = 87*r. What is the greatest common factor of r and y? 6 Suppose 3*u + s - 562 = 0, -3*s = 2*u + 2*s - 379. Let y(f) = f**2 - f + 5. Let d be y(4). Calculate the greatest common factor of u and d. 17 Let h(v) be the third derivative of v**5/15 + v**4/12 + v**3/2 - 23*v**2. Let z be h(-8). What is the highest common factor of z and 27? 27 Suppose -5*u - 212 + 42 = 0. Let s = u + 60. Suppose -40 - s = -2*t. What is the greatest common divisor of t and 11? 11 Suppose 7*r = -129 + 7983. Calculate the highest common factor of r and 17. 17 Suppose -330 = 278*i - 293*i. Calculate the greatest common factor of i and 946. 22 Suppose -18*i + 15 = -13*i. Let h(j) = -j**3 + 5*j**2 + j + 1. Let g be h(5). What is the highest common factor of g and i? 3 Let o(d) = 5*d + 1. Let i be o(1). Let s(b) = b**3 - 4*b**2 - 5*b + 4. Let c be s(i). Suppose -4 - c = -5*j. What is the greatest common divisor of j and 5? 5 Let t be (-1600)/(-12) - (-1)/(-3). Calculate the greatest common divisor of 14 and t. 7 Let w = 551 - 111. What is the highest common divisor of 360 and w? 40 Let f be 0/(-2)*(25 - 26) + 125. Calculate the greatest common factor of 175 and f. 25 Suppose -3*q - 5*k + 242 = 0, -q + 4*k = -0*q - 109. Let g = 27 - q. Let t = -41 - g. What is the highest common factor of 147 and t? 21 Suppose 8*q + 4 = -4. Let a be (1/q)/(10/(-550)). Calculate the highest common factor of a and 11. 11
{ "pile_set_name": "DM Mathematics" }
when (-356)/(-22) + q/(-33) is divided by p? 1 Let d be (-34)/(-10) - 4/10. Suppose i - j - 65 = -2*i, 3*i - 69 = -d*j. Suppose 0 = -s + p + 6 + 6, -3*p = 12. What is the remainder when i is divided by s? 6 Suppose 11 = -6*x + 23. Suppose 3*u - 5*g = 56 - 21, -x*u + 17 = 3*g. What is the remainder when 198 is divided by u? 8 Suppose 5*k - 5 = -2*r + 17, -3*r = -4*k + 36. Let q = 13 - k. Let j = q - -14. Calculate the remainder when 60 is divided by j. 18 Suppose g + 40 = -4*g. Let v be ((-30)/3)/(3/(-12)). What is the remainder when 45 is divided by (g/10)/((-2)/v)? 13 Let o be (-5 + 15/25)/((-3)/(-75)). Let q = 183 + o. Calculate the remainder when q is divided by 19. 16 Suppose 48*b - 78 = 46*b. Calculate the remainder when 38 is divided by (-40)/(-60)*b/2. 12 Suppose 0 = -3*r - 4*h + 81, 4*r - h - 58 - 31 = 0. What is the remainder when 385 is divided by r? 17 Suppose 4*m + 436 = 1708. Calculate the remainder when m is divided by 46. 42 Let x(v) = v**3 - 2*v**2 - 3*v + 16. Suppose -40 = -4*h - f, -5*h + 0*f + 2*f = -50. Calculate the remainder when x(0) is divided by h. 6 Suppose 12 = 4*g - v, -2*g - 2*v = 2 + 2. Let k be (g + -4)/((-1)/54). Suppose 27 - k = -3*p. Calculate the remainder when 53 is divided by p. 26 What is the remainder when 59 is divided by 7 + -15 + 12 - (-21 - 0)? 9 Let p = 72 + -6. Suppose 9*n = 12*n - p. Let a = 122 - 79. What is the remainder when a is divided by n? 21 Let t = 63 + 32. What is the remainder when t is divided by 3? 2 Suppose -t = -4*y + 1 + 10, 5*y = -4*t + 40. What is the remainder when (-6 + t)*39/(-1) is divided by 11? 6 Suppose -34*m + 952 = -17*m. What is the remainder when 209 is divided by m? 41 Suppose 63*b + 32*b - 1358 = -2*b. Let m be 6/4*(1 - -1). Suppose -32 = -m*v + 85. What is the remainder when v is divided by b? 11 What is the remainder when ((-78)/4)/((-48)/64) is divided by 10? 6 Let m = -7 + -2. Let o(c) = c + 15. What is the remainder when 10 is divided by o(m)? 4 Suppose -30 = -3*l - 2*l - 5*a, 4*l = -5*a + 28. Suppose -8 = -3*g - l*z, -4*g - 3*z = -7*g + 33. Calculate the remainder when g is divided by 4. 2 Suppose c = 3*g - c - 17, 0 = -2*g + c + 13. Calculate the remainder when 35 is divided by g. 8 What is the remainder when (27 - 23) + 0/1 + 1152 is divided by 129? 124 Suppose -2*j - 3*i = -12, -5*i = 3*j - i - 17. Let w = 27 + j. Calculate the remainder when 87 is divided by w. 27 What is the remainder when 243 - (-19 - (1 + -9)) is divided by 91? 72 Suppose h + 6 = 272. Suppose -5*k = 4*v - 235 - 128, 5*k = -3*v + h. What is the remainder when v is divided by 20? 17 Let m(c) = 17 + c**3 - 17 - 3*c - 3*c**2. Let s be m(4). What is the remainder when (-4)/(-6)*708/s is divided by 30? 28 Suppose b - 15 = -2*b. Suppose 0 = -b*j + w + 4*w + 315, 4*j + 5*w = 216. Suppose 4*g = 5*g - j. Calculate the remainder when g is divided by 20. 19 Suppose -4*a - 5*y + 28 = -3*y, 0 = 3*a - y - 16. What is the remainder when ((-92)/(-22))/(-13*(-18)/1287) is divided by a? 5 Suppose -4*x + 2*l = -2536, l - 4*l = -4*x + 2534. Calculate the remainder when x is divided by 91. 89 Let q(m) = 44*m - 4. Let v be q(-2). Let u = -73 - v. What is the remainder when u is divided by 5? 4 Let f(s) = 2*s + 56. Calculate the remainder when 36 is divided by f(-25). 0 Let z(l) be the second derivative of -7*l**3/6 + l**2/2 - 2*l. Let u be z(1). Let i(s) = 2*s**2 + 9*s + 6. Calculate the remainder when i(u) is divided by 13. 11 Let q(c) = c + 2. Let b be q(-3). Let s be b/4 - 570/24. What is the remainder when 47 is divided by -1 + -2 - (s - 3)? 23 Let m(a) = 131*a**2 + 4*a + 4. What is the remainder when m(-1) is divided by 12? 11 Let d = -61 - -58. Calculate the remainder when 57 is divided by (3 - 5)/(d*(-2)/(-87)). 28 What is the remainder when (-1664)/(-10) - (-8)/(-20) is divided by 25? 16 Let g be 4 - (-4 - (-3 + -3)). Suppose -g*z = -0*z - 34. Calculate the remainder when z is divided by 4. 1 Let a = 55 - 3. Let m = 11 + 7. Calculate the remainder when a is divided by m. 16 Suppose 3*x = 15 + 3. Let w be ((-4)/(-12))/(1*1/(-309)). Let n = w - -114. Calculate the remainder when n is divided by x. 5 Let p(d) be the first derivative of -d**4/4 + d**3/3 + d**2/2 - 2*d - 8. Let t be p(2). What is the remainder when 0 - ((-492)/t)/(-3) is divided by 14? 13 Let x = 1894 + -1885. Calculate the remainder when 304 is divided by x. 7 Suppose 443 = 2*q + 3*z, 0 = 4*z - 3 - 9. Let d = q - 22. What is the remainder when d is divided by 33? 30 Let x(o) = 11*o - 3. Let c be x(18). Let b be (-3)/((-3)/(-1)) + 102. Suppose 4*t - b = c. Calculate the remainder when t is divided by 19. 17 Suppose 2*y - 4*h + 8 = 0, 5*y + 5*h - 14 - 41 = 0. Suppose 3*m - 5*c = -13, c + 11 = y*m - 2*m. What is the remainder when (4/(-5))/((-4)/30) is divided by m? 2 Let v(u) = -u - 12. Let d be v(5). Let k = d + 23. Let h = 9 - 5. What is the remainder when k is divided by h? 2 Suppose 6*m = 2*m - 312. Let j = -48 - m. Let s = -7 + j. Calculate the remainder when s is divided by 12. 11 Let u = 44 - 41. Let t(w) = 0 + 2*w**2 - 1 - 1 + 5*w. Calculate the remainder when t(-4) is divided by u. 1 Suppose 514 = 28*x + 122. Let l be (-3)/6 + (-66)/(-4). Suppose -p = -l - 38. What is the remainder when p is divided by x? 12 Let f = -235 - -384. What is the remainder when f is divided by 75?
{ "pile_set_name": "DM Mathematics" }
*z(a). Calculate o(p(g)). 25*g**2 + 20 Let l(q) = 225*q - 50. Let s(r) = 5*r - 2. Let t(h) = l(h) - 25*s(h). Let o(u) = 3*u**2. Give o(t(i)). 30000*i**2 Let p(q) = -2*q. Suppose -v - j = -5*v + 231, 3*v = -5*j + 202. Let d(s) = 27*s - 63 - 7*s - 13*s - 11*s + v. Give p(d(u)). 8*u + 8 Suppose -4*c + 3*n + 7 = 2*n, 5*c - 20 = 5*n. Let z(o) = c + 1 - o**2 - 1 - 1. Let k(v) = -64*v**2. Determine k(z(u)). -64*u**4 Let x(g) = -11*g**2 - 6704*g. Let t(y) = -9*y**2 - 6701*y. Let d(o) = -5*t(o) + 4*x(o). Let p(s) = -s**2. Calculate d(p(v)). v**4 - 6689*v**2 Let q(w) be the second derivative of w**4/12 + w. Let v(d) be the third derivative of 19*d**5/12 - 25189*d**2. Give q(v(z)). 9025*z**4 Let f(w) = -w + 81 - 70 - 11. Let k(s) = -s**2 + 2*s + 1. Let o be k(-1). Let j(l) = l. Let t(y) = o*j(y) - f(y). Let h(v) = v**2. Determine t(h(a)). -a**2 Let s be (1/4)/(-2 - (-438)/216). Let z(h) = s*h - 11*h + 0*h. Let n(w) = 21*w - 63. Let o(a) = 1. Let u(q) = -n(q) - 63*o(q). What is z(u(x))? 42*x Let p(j) = 39*j - 110*j + 53*j + 1 + 6. Let v(m) = 10*m - 4. Let o(h) = 4*p(h) + 7*v(h). Let d(r) = -12*r - 6*r - 6*r + r. Calculate d(o(u)). 46*u Let a(h) = -h - 2. Let s(t) = 2*t + 3. Let r(d) = 3*a(d) + 2*s(d). Let b(m) = -16807*m. What is r(b(j))? -16807*j Let i(f) = -f**2 - 26*f. Let p(m) be the third derivative of -m**6/360 - 86*m**3/3 + 26*m**2 + 4. Let h(g) be the first derivative of p(g). What is h(i(y))? -y**4 - 52*y**3 - 676*y**2 Let y(k) = 93*k - 34*k - 23*k - 38*k. Let t(l) = 1215*l**2 - 55. Let h(i) = 45*i**2 - 2. Let b(x) = -55*h(x) + 2*t(x). Determine y(b(a)). 90*a**2 Let r(c) = -7*c**2. Let u(x) = -4*x + 203178. Determine u(r(q)). 28*q**2 + 203178 Let u(a) = -59*a + 3. Suppose -21*b + 0*b - 42 = 0. Let t(v) = 238*v - 12. Let h(g) = b*t(g) - 9*u(g). Let f(n) = n**2. Calculate f(h(z)). 3025*z**2 - 330*z + 9 Let w(h) = h**2. Let l(r) = 993*r + 8. Let y(a) = -3309*a - 27. Let p(k) = -27*l(k) - 8*y(k). Give w(p(s)). 114921*s**2 Suppose 18*f = 4*l + 23*f + 8, -f = 2*l - 2. Let h(w) be the third derivative of -5/12*w**4 - l*w**2 + 0*w**3 + 0 + 0*w. Let p(c) = c**2. Determine p(h(r)). 100*r**2 Let w(a) = 4*a**2 + 3*a - 3. Let f(b) = -15*b**2 - 11*b + 11. Suppose 8 + 22 = 5*p. Let g(n) = p*f(n) + 22*w(n). Let x(j) = -66*j**2. Calculate g(x(h)). -8712*h**4 Let a(d) = 2*d**2. Let t = -4719 + 14159/3. Let o(w) be the first derivative of 13 + 0*w**2 + t*w**3 + 0*w. Give o(a(q)). 8*q**4 Suppose -49330 = -20*i + 64490. Let z(w) = -i*w**2 + 11381*w**2 - 5689*w**2. Let u(o) = o**2 - 19*o. Give z(u(y)). y**4 - 38*y**3 + 361*y**2 Let d(u) = -u**2. Let o(t) = 19*t + 3790. Let f(i) = 5*i + 949. Let h(s) = 15*f(s) - 4*o(s). Give h(d(g)). g**2 - 925 Let l(a) = -607*a - 2. Let c(v) be the third derivative of -v**4/24 + 39*v**2 + 8*v. Calculate c(l(t)). 607*t + 2 Let j(w) = -2*w + 3182. Let h(z) = -887*z + 2. Give j(h(y)). 1774*y + 3178 Suppose 2967 = 3*c - 3*d, 3*d + 5 - 2 = 0. Let f(i) = -c*i - 2*i**2 + 988*i. Let p(g) = -54*g + 1. Determine p(f(w)). 108*w**2 + 1 Let c(g) = -g**2. Let t(b) be the third derivative of b**4/6 - 37*b**3/6 - 12*b**2 + 36*b. Determine t(c(w)). -4*w**2 - 37 Let f(w) = -5*w**2 - 11*w. Let b(u) = -3*u**2 - 6*u. Let r(m) = 11*b(m) - 6*f(m). Let v(i) = -33*i - 26*i - 41*i - 13*i + 76*i. Determine v(r(k)). 111*k**2 Let b(m) = 3*m - 2. Let h(l) = -915516*l + 1. Calculate b(h(j)). -2746548*j + 1 Let c(l) be the third derivative of 11*l**5/60 - 5*l**4/24 - l**3/2 - 12*l**2 + 316. Let q(h) = -2*h. What is c(q(v))? 44*v**2 + 10*v - 3 Let o(m) = 624*m. Let p(r) = 2*r**2 + 273*r - 2. Determine o(p(j)). 1248*j**2 + 170352*j - 1248 Let a(b) = 0*b - 2*b + 4216 - 4538 + 4*b + 2*b. Let t(k) = k**2. Give t(a(v)). 16*v**2 - 2576*v + 103684 Suppose 5*l + 4*k - 1439 = 0
{ "pile_set_name": "DM Mathematics" }
t 0, -117, -3 in increasing order. -117, -3, 0 Sort -4, 1, -3, 9, -8 in ascending order. -8, -4, -3, 1, 9 Put -83, -3, -2, -1 in increasing order. -83, -3, -2, -1 Sort 2/385, -3/7, 8 in ascending order. -3/7, 2/385, 8 Put -5, -14, -4 in ascending order. -14, -5, -4 Sort 5, 2, -2/9, 24.9, -3 in increasing order. -3, -2/9, 2, 5, 24.9 Sort 0, 32, 4, 5, 21 in decreasing order. 32, 21, 5, 4, 0 Put 344, 1, 0 in increasing order. 0, 1, 344 Put -4, 81, 8, 2 in descending order. 81, 8, 2, -4 Sort 211, 1, -3 in descending order. 211, 1, -3 Sort 4.1, -4, 5, 1.3 in decreasing order. 5, 4.1, 1.3, -4 Sort 546, -3, -4 in decreasing order. 546, -3, -4 Put 17, 3, -5, -2/7 in descending order. 17, 3, -2/7, -5 Sort 1/270, -0.3, 0.4, -3 in descending order. 0.4, 1/270, -0.3, -3 Sort 260, -1, 0 in ascending order. -1, 0, 260 Sort 1, 0, 4. 0, 1, 4 Put -1/4, -7, 0.06 in decreasing order. 0.06, -1/4, -7 Put 1/2, -2, -170 in increasing order. -170, -2, 1/2 Put -3, -33, -2, -1, 3 in descending order. 3, -1, -2, -3, -33 Sort 4, -1, -3, 50. -3, -1, 4, 50 Sort -0.4, -0.08, -0.3, -1 in decreasing order. -0.08, -0.3, -0.4, -1 Sort -5, 1, 4, -30 in decreasing order. 4, 1, -5, -30 Sort 9, 5, 4 in increasing order. 4, 5, 9 Put -1, 0, 206, 1 in increasing order. -1, 0, 1, 206 Sort 1, 0.18, -5, 5/12, 3 in ascending order. -5, 0.18, 5/12, 1, 3 Sort 4, -1, 1733 in decreasing order. 1733, 4, -1 Sort -5, -0.5, 1, 2/15. -5, -0.5, 2/15, 1 Put 0, 31, -1, -2, 3 in ascending order. -2, -1, 0, 3, 31 Sort 0.5, 4/5, -1, -0.2 in ascending order. -1, -0.2, 0.5, 4/5 Sort -0.3, 0.12, -19, 0.15. -19, -0.3, 0.12, 0.15 Put 5, 30, 3, -1, -5 in ascending order. -5, -1, 3, 5, 30 Put 3, 2, 21 in descending order. 21, 3, 2 Put -1/6, -5.8, 4 in descending order. 4, -1/6, -5.8 Sort 0, -6, -29, -4, -5 in increasing order. -29, -6, -5, -4, 0 Sort -11, 0.067, 0 in increasing order. -11, 0, 0.067 Sort -1/6, 0, 4/9, -4, 0.05 in ascending order. -4, -1/6, 0, 0.05, 4/9 Sort 4, 1/40, 0.3. 1/40, 0.3, 4 Sort 2/19, 0.5, -5 in ascending order. -5, 2/19, 0.5 Put -1/25, -6/11, 1 in ascending order. -6/11, -1/25, 1 Put 12, -19, -5 in descending order. 12, -5, -19 Sort -1797, 2, 7. -1797, 2, 7 Put 0, -25, -6 in decreasing order. 0, -6, -25 Put -11, -8, -2, -3 in ascending order. -11, -8, -3, -2 Sort 4, -0.13, -7 in descending order. 4, -0.13, -7 Sort 5, -4, -3, 49, -2 in increasing order. -4, -3, -2, 5, 49 Put 14, -3, -8 in decreasing order. 14, -3, -8 Put 0.6, -3, -0.2, -2, -4 in ascending order. -4, -3, -2, -0.2, 0.6 Put -1, 7/3, -3, -2/19 in ascending order. -3, -1, -2/19, 7/3 Put 2/11, -5/2, 0.2, 1/9, -0.13 in ascending order. -5/2, -0.13, 1/9, 2/11, 0.2 Sort 3, 2, -17, 177. -17, 2, 3, 177 Put 1, -3, 0 in increasing order. -3, 0, 1 Sort -2/7, 0.82, -2/9. -2/7, -2/9, 0.82 Sort -2/3, 1, 3, -2/11 in decreasing order. 3, 1, -2/11, -2/3 Sort -1/6, 4, -71 in descending order. 4, -1/6, -71 Put 0.5, 2/13, -5.068 in ascending order. -5.068, 2/13, 0.5 Put 26, 3, -4 in ascending order. -4, 3, 26 Sort 0, -3/2, -3384. -3384, -3/2, 0 Put 5, -76, -1, -2 in increasing order. -76, -2, -1, 5 Sort -4, 3, 2, -10, 5 in descending order. 5, 3, 2, -4, -10 Put 2, 62, -3 in decreasing order. 62, 2, -3 Put -0.3, 0.1, 3, 0.7, -17 in ascending order. -17, -0.3, 0.1, 0.7, 3 Sort -5, 2, -10, -7 in decreasing order. 2, -5, -7, -10 Put 5, 1, -2, 0, 7 in decreasing order. 7, 5, 1, 0, -2 Put -2, 19, 55 in ascending order. -2, 19, 55 Sort -107, -3, -2 in descending order. -2, -3, -107 Put -1, -5, -4, -21 in increasing order. -21, -5, -4, -1 Put -6, -463, 0, -4 in decreasing order. 0, -4, -6, -463 Sort 2, 265, 0.5, 0.3, -0.2 in increasing order. -0.2, 0.3, 0.5, 2, 265 Put -2, -1, -42 in ascending order. -42, -2, -1 Sort -1, 5, 34, -2. -2, -1, 5, 34 Sort -6, 0.5, 36 in descending order. 36, 0.5, -6 Put 51, 2, 0, -4, 5 in decreasing order. 51, 5, 2, 0, -4 Sort 0, -406, 4 in descending order. 4, 0, -406 Sort 48, -1/9, -1. -1, -1/9, 48 Put -2, 3, 139 in decreasing order. 139, 3, -2 Put -1/6, -4/5, -0.2, 4, 0.1 in descending order. 4, 0.1, -1/6, -0.
{ "pile_set_name": "DM Mathematics" }
15). 52 What is the value of 0 + 199 - 41 - 21? 137 What is the value of 0 - 0 - 30 - -97? 67 40 - (-14 + -3 - (119 + -154)) 22 Evaluate 507 + -487 + (11 - 0) - 60. -29 Calculate 63 - ((21 - 34) + 82). -6 What is the value of (41 - (99 - 19)) + -6? -45 What is (25 - 14) + -12 + -1 + -1? -3 Calculate -163 + (59 - 11) - (18 - (9 + -5)). -129 78 - ((148 - 140) + (15 + -4 - 5)) 64 Evaluate -4 + (6 - (-1 - -5)) - (44 + -87). 41 Calculate -7 - 1 - (-4040 + 4074). -42 What is -11 + -5 + 4 + (-1 - -10 - 2) - -17? 12 What is -38 - (-141 + -29 + -3 + 23)? 112 Evaluate -108 + 4 + 26 + 119. 41 -2 - 68 - (1 - 3 - (-23 + -24 + 51)) -64 11 + 16 + -27 - ((17 - -17) + (5 - 1)) -38 Evaluate (-10 - -1) + -8 + -54 + 70. -1 Evaluate (7773 - 7776) + (-2 - 22 - -1). -26 What is 1 + -9 - (2043 - 2121)? 70 Evaluate (-4 - 2 - -68 - (51 - 43)) + -9. 45 33 + (108 - (24 - (-1 + -9))) 107 Evaluate -45 + (42 + 6 - 56). -53 What is (4 - 0) + 2 - ((5 - (-105 - 7)) + -5)? -106 Calculate -4 - (67 + 47 + -122). 4 Calculate 13 - ((-17 - -14 - (15 + 5 + -12)) + 7). 17 -148 - (-219 - (-187 - -124)) 8 What is -4 - 0 - (-14 + 2 + (-186 - -216))? -22 Evaluate -49 - (9 + -2 - 43). -13 What is the value of -5 - (-30 + -10 + 5 + (6 - 8))? 32 Evaluate 65 + -2 - (-720 + 854). -71 What is the value of 6 - ((-77 - 18) + 64)? 37 Evaluate (1 - (-6 + 2)) + (-744 - -745). 6 What is the value of (49 - 43) + 2 - (1 - (-5 + 3))? 5 -51 - -18 - (-23 + -47) 37 What is (-38 - 0) + (-3 - (13 + -9 - -2))? -47 Calculate -101 + (9 - 10) + 19 + (-21 - -6). -98 What is the value of -20 + 12 - 42 - (65 - 57)? -58 Calculate -26 + (28 + 3 - 57). -52 What is the value of (17 - -63) + -13 - 34? 33 Calculate -59 + (-1 - ((-2 - -7) + 4 + -10)) + -4. -63 (-4 - -12) + 15 + 4 + 11 38 What is 35 + (-12 - (-11 + (6 - (-15 - -4 - -8))))? 25 Calculate -116 + 2 - (-312 - -122). 76 -4 - (6 - -7 - 14 - (-1 + 1) - -70) -73 Calculate -23 - (8 + (20 - -37)) - 15. -103 Calculate 48 + (78 - (159 + -75)). 42 What is the value of -58 + 2 + (2 - -10 - (100 + -102))? -42 61 + ((13 - (-29 - -13)) + -23 - (0 + -5)) 72 What is the value of 81 - (7 - (-38 + (17 - -2)))? 55 What is (-6 - 17 - -1) + (-21 - -3)? -40 What is the value of -86 - (-95 + 48 + 11)? -50 What is the value of (-61 - 5 - -3) + (2135 - 2102)? -30 Calculate -84 + -5 + 65 + -40. -64 What is (-60 - 0) + (-30 - -11 - -24) + -9? -64 What is the value of (84 - 186) + (0 - -87)? -15 Calculate -67 + -48 + -56 + 264 + (1 - 1 - 5). 88 Evaluate -27 + -12 - (-70 - -85). -54 Evaluate -32 + (35 - 16) + -17 + (-28 - 33). -91 What is the value of -32 + 127 + -100 + (-3 - -1) + -64? -71 Evaluate 3 + (-3 - 0) - ((-40 - -81) + 10). -51 Calculate (1 - -39) + (1 - -3) + (9 - (17 - 13)). 49 Evaluate 232 + (18 - 127) + 14. 137 What is the value of -1 + 0 - -6 - (-11 - (7 + 22))? 45 Evaluate 9 + 3 + (3 - (8 - 1)) - 40. -32 What is the value of -105 - (2 - 102 - -78)? -83 Calculate (42 - 29) + -26 + (5 - -9). 1 What is 39 + -1 + 0 + (0 - -1) + (-21631 - -21631)? 39 What is -5 + 2 - (11 + -1 - (31 - 24 - -69))? 63 What is 14 + -27 + -1 + 18 - (-1 + -13 + -4)? 22 Calculate -42 - ((-1 - -1) + 679 + -647). -74 Evaluate (4937 - 4944) + (1 - 41 - 3). -50 Evaluate -89 - (0 - (24 + (12 - 22))). -75 What is -106 - (-59 + -96) - -75? 124 Evaluate (-73 - -13 - -46) + 35. 21 What is 29 - 0 - (94 - (81 + -12))? 4 -5 + 5 - -12 - (-557 - -517) 52 -143 + 200 + 4 + 11 + -9 63 21 - (70 + -17 + 5 + -8) -29 What is (-4 - -16) + -5 + -35 + -14 + 4? -38 Calculate -97 + 251 + (-24 - 50). 80 126 + 0 + (164 - 286) 4 Calculate (1 - 5 - -24 - 9) + -26 + 1. -14 (-91 - -10) + 10 + (-19 + (-7 - -6) - -11) -80 What is the value of 9066 + -9070 - (-1 + -80)? 77 What is -20 + 6 + 1 + (-99 - -50) + 46? -16 What is the value of 35 + ((1 - (0 - -4)) + -300 + 295 - 2)? 25 Calculate (-17 - -2 - (-12 - -6)) + -23 + (6 - 2). -28 Calculate (9951 - 10090) + (79 - -2). -58 Calculate 65 + -144 + (172 - 82). 11 -104 + -48 + (60 - (-8 - -46)) -130 What is (73 - 9) + -695 + 638? 7 Evaluate 67 - 0 - (-2779 - -2835). 11 What is 0 + -111 + (49 - (278 - 245))? -95 Calculate (71 - 7) + -10 + -1 + (-94 - -118). 77 Evaluate 11 - 32 - (592 + -526). -87 107 - 0 - (48 + (-73 - (73 - 94))) 111 Evaluate 45 + -66 - ((16 - 24) + 18). -31 -23 + -3 + 29 + -10 + 0 + 31 24 What is the value of 34 + -44 + (71 - 7) + -5 + 3? 52 -1 - 71 - -102 - 29 1 What is the value of 5 - (-22 + 21) - (4 + 30 - 4)? -24 What is the value of 20 - (-4 + (11 - 8)) - (-37 - -9)? 49 (0 - -1)
{ "pile_set_name": "DM Mathematics" }
cked without replacement from {q: 2, p: 4, x: 8}? 8/273 Calculate prob of sequence nb when two letters picked without replacement from {i: 2, n: 8, b: 4}. 16/91 What is prob of sequence avvf when four letters picked without replacement from ffvffaaffvvf? 7/990 What is prob of sequence vff when three letters picked without replacement from cvctmciifcfiicf? 1/455 Three letters picked without replacement from uuighuhuuiuriguuw. Give prob of sequence rii. 1/680 Calculate prob of sequence gkg when three letters picked without replacement from {q: 2, g: 2, k: 2}. 1/30 Three letters picked without replacement from {i: 1, p: 2, d: 1, o: 2, s: 1, x: 1}. What is prob of sequence opx? 1/84 Three letters picked without replacement from {u: 3, c: 4, t: 7}. Give prob of sequence tuu. 1/52 What is prob of sequence rz when two letters picked without replacement from gkkrzvkkgqqv? 1/132 Four letters picked without replacement from {i: 4, u: 2, t: 1, c: 1, b: 3}. Give prob of sequence ictb. 1/660 Two letters picked without replacement from zgzzzgzgzggzg. What is prob of sequence zz? 7/26 Calculate prob of sequence dd when two letters picked without replacement from {d: 7, s: 2}. 7/12 Two letters picked without replacement from jrrfjbpjfbbfpbcp. What is prob of sequence fp? 3/80 Three letters picked without replacement from {l: 1, w: 4, n: 3, t: 3}. Give prob of sequence ntt. 1/55 What is prob of sequence wii when three letters picked without replacement from wwijjjjjw? 0 Calculate prob of sequence nn when two letters picked without replacement from {v: 2, n: 2}. 1/6 Two letters picked without replacement from {x: 2, g: 8, n: 6, e: 1, c: 1}. Give prob of sequence xx. 1/153 What is prob of sequence xw when two letters picked without replacement from {w: 2, x: 3}? 3/10 Four letters picked without replacement from bbbbybbbbbbbr. Give prob of sequence rbyb. 1/156 Two letters picked without replacement from {z: 2, x: 8}. What is prob of sequence zz? 1/45 Four letters picked without replacement from {d: 4, p: 2, j: 1, c: 2}. Give prob of sequence pdjp. 1/378 Two letters picked without replacement from favafsasffafbffabf. What is prob of sequence bv? 1/153 What is prob of sequence ck when two letters picked without replacement from fcgkfsgfcksdff? 2/91 Calculate prob of sequence ppp when three letters picked without replacement from {g: 2, p: 3}. 1/10 Two letters picked without replacement from {g: 11, t: 2}. Give prob of sequence gt. 11/78 Two letters picked without replacement from dxiidiyiidiyidxidix. Give prob of sequence ii. 4/19 Two letters picked without replacement from siiqqqpsqiisiiiqqs. What is prob of sequence iq? 7/51 Calculate prob of sequence bbbx when four letters picked without replacement from swbxsxxbssbsbxw. 4/1365 Two letters picked without replacement from {f: 3, a: 5}. Give prob of sequence ff. 3/28 What is prob of sequence ldb when three letters picked without replacement from rccrcbdrlcmcdcb? 2/1365 Three letters picked without replacement from {s: 2, y: 2, i: 3, o: 1, c: 4}. Give prob of sequence yio. 1/220 Two letters picked without replacement from ssszzsszzssszsssssss. Give prob of sequence sz. 15/76 Two letters picked without replacement from ohoohohg. Give prob of sequence og. 1/14 Three letters picked without replacement from {z: 2, g: 10}. What is prob of sequence gzg? 3/22 Two letters picked without replacement from {g: 3, c: 3, v: 3, h: 4, q: 4}. What is prob of sequence hq? 1/17 Two letters picked without replacement from {b: 2, d: 1, y: 2, j: 1, m: 2, u: 1}. What is prob of sequence yb? 1/18 Three letters picked without replacement from {a: 8, m: 2}. Give prob of sequence amm. 1/45 Four letters picked without replacement from {q: 5, j: 1, r: 2, b: 1, o: 3}. What is prob of sequence qqqq? 1/99 Three letters picked without replacement from ssgqsgeeagagsa. Give prob of sequence eqe. 1/1092 Four letters picked without replacement from {z: 12, x: 7}. Give prob of sequence xxxx. 35/3876 What is prob of sequence ty when two letters picked without replacement from ftwytfp? 1/21 Four letters picked without replacement from {y: 1, e: 2, j: 4, p: 2, a: 1}. Give prob of sequence yape. 1/1260 Three letters picked without replacement from qgtvzzqqggigiggqq. What is prob of sequence gvz? 1/340 Two letters picked without replacement from ygyyo. Give prob of sequence gy. 3/20 What is prob of sequence gxx when three letters picked without replacement from bbbjbbjxllgglxblbbx? 2/969 Four letters picked without replacement from {y: 5, s: 7, k: 8}. Give prob of sequence ssss. 7/969 What is prob of sequence ipcc when four letters picked without replacement from {p: 1, c: 8, t: 7, i: 1}? 1/1020 Two letters picked without replacement from hqthckticth. Give prob of sequence cq. 1/55 What is prob of sequence uxu when three letters picked without replacement from aaauaauux? 1/84 What is prob of sequence iili when four letters picked without replacement from {i: 10, l: 2}? 4/33 Four letters picked without replacement from {f: 2, b: 1, g: 1, v: 1}. What is prob of sequence gfbf? 1/60 What is prob of sequence fns when three letters picked without replacement from ffsnffosossosoosoo? 1/204 Three letters picked without replacement from fcecfyycbsbeccbs. What is prob of sequence yfe? 1/420 Four letters picked without replacement from {u: 1, t: 1, o: 1, f: 1, x: 1, i: 2}. Give prob of sequence tiof. 1/420 Three letters picked without replacement from nnnnnbwwunnnwbunun. What is prob of sequence wnu? 5/272 Calculate prob of sequence rrh when three letters picked without replacement from {h: 5, r: 11}. 55/336 What is prob of sequence zd when two letters picked without replacement from zzgdglzzl? 1/18 Three letters picked without replacement from {x: 1, l: 1, f: 4, b: 2, e: 1}. What is prob of sequence bbb? 0 Four letters picked without replacement from pppjujunpppn. Give prob of sequence pjpj. 1/198 Four letters picked without replacement from uusssssuss. Give prob of sequence usus. 1/20 What is prob of sequence yx when two letters picked without replacement from xxyxxxxxxxxxxxx? 1/15 Calculate prob of sequence nmm when three letters picked without replacement from {n: 4, p: 4, m: 6, q: 1, g: 3, j: 1}. 20/969 Calculate prob of sequence uuo when three letters picked without replacement from {u: 1, o: 12}. 0 Calculate prob of sequence kkk when three letters picked without replacement from kklkkkkkkkkkkkkklk. 35/51 What is prob of sequence zz when two letters picked without replacement from {b: 4, z: 4, j: 6, n: 1, f: 1, i: 3}? 2/57 Three letters picked without replacement from {c: 3, s: 1}. Give prob of sequence ccc. 1/4 Calculate prob of sequence ccss when four letters picked without replacement from sbccscscsbsbcccsb. 3/136 What is prob of sequence o
{ "pile_set_name": "DM Mathematics" }
**2 - 1. Let x(m) = 3*m**2 - 2. Suppose -6 = 2*f - 2*s + 6, s = -2*f - 6. What is f*r(h) - x(h)? h**2 + 6 Let f(x) = 106*x + 49. Let o(i) = 60*i + 25. What is 4*f(z) - 7*o(z)? 4*z + 21 Let a(o) = 83*o + 13. Let j(h) = -330*h - 45. What is -23*a(y) - 6*j(y)? 71*y - 29 Let x(u) = 72*u**2 - 44*u + 578. Let n(p) = 48*p**2 - 28*p + 385. Calculate -11*n(r) + 7*x(r). -24*r**2 - 189 Let c(y) = -y**2 + 10*y - 1. Let a(u) = -u**2 + 9*u. Suppose -8 = 7*j - 9 - 27. Give j*a(t) - 3*c(t). -t**2 + 6*t + 3 Let j = -30 - -25. Let v(k) = -3*k**2 + 4*k - 2. Let b(i) = 2*i**2 - 2*i + 1. Suppose -25*g + 8 = -23*g. Suppose -g*n + 3 = 15. Calculate j*b(q) + n*v(q). -q**2 - 2*q + 1 Let u(j) = 5*j**2 + 2*j + 1. Let d(p) = -5*p + 56. Let w be d(3). Suppose 5*h = -w - 14. Let l(s) = 14*s**2 + 6*s + 3. Determine h*u(n) + 4*l(n). n**2 + 2*n + 1 Let a be (14/(-6))/((-2)/6). Let g(q) = -3*q - 2. Let f(r) = -3*r - 2. Let v = -413 + 411. Let l be (4/(-6))/(v/(-18)). Determine a*g(z) + l*f(z). -3*z - 2 Let r(d) = 5*d**3 + d**2 + 5*d. Let g(f) = 3*f**3 + 2*f**2 + 4*f - 6. Determine -3*g(k) + 2*r(k). k**3 - 4*k**2 - 2*k + 18 Let w(r) be the third derivative of 5*r**4/12 - 17*r**2 + 2. Let m be 1/5 - (-92)/(-10). Let q(c) = 21*c. Determine m*w(b) + 4*q(b). -6*b Let m(w) = -5*w - 1. Let j(b) = -1043*b - 3. Give -j(c) + 2*m(c). 1033*c + 1 Let p(o) = 3*o**3 - o**2 - 3. Suppose -4*u + 17 = 5. Let l(n) be the second derivative of 1/2*n**2 + 6 + 2*n. What is u*l(a) + p(a)? 3*a**3 - a**2 Let q be (-460)/(-140) - 4/14. Let w(g) = 5*g**2 + 4 + g + q*g + 0*g + 1 - 8*g. Let t(i) = -4*i**2 + 3*i - 5. Determine -4*t(v) - 3*w(v). v**2 + 5 Let c(i) be the third derivative of i**4/8 - i**3 - 2*i**2. Suppose 0*r = -4*f - 3*r - 62, -5*f - 93 = -4*r. Let p(n) = -n + 2. Give f*p(h) - 6*c(h). -h + 2 Let f(o) = 2*o - 6*o**3 - 15 + 5*o**2 + 3 + 2*o + 7. Let h(m) = 6*m**3 - 4*m**2 - 3*m + 4. Let c be (1*-1)/(((-406)/(-56))/(-29)). What is c*f(s) + 5*h(s)? 6*s**3 + s Let x be (-3)/(-2)*(222 - 220). Let q(f) = 2*f**3 - 13*f**2 + f + 4. Let n(c) = c**3 - 12*c**2 + c + 3. What is x*q(s) - 4*n(s)? 2*s**3 + 9*s**2 - s Let q(a) = 308*a**2 + 39*a - 30. Let f(o) = -103*o**2 - 14*o + 11. Determine 11*f(m) + 4*q(m). 99*m**2 + 2*m + 1 Let u be (-2)/(-6) + (2 - 2850/18). Let i = 155 + u. Let w(b) = b**3 + b**2 - 2*b. Let z(g) = -g**3 + g**2 - g + 1. Determine i*z(r) + w(r). 2*r**3 - r - 1 Let k(j) be the second derivative of -17*j**3/2 - 21*j**2/2 + 47*j - 10. Let x(r) = -10*r - 4. Let a(i) = -i**2 - i + 2. Let g be a(-3). Give g*k(q) + 21*x(q). -6*q Let f(p) = 10*p + 14. Let q(l) = -7*l - 7. What is 4*f(i) + 7*q(i)? -9*i + 7 Let m = 29 - 26. Let p(q) = 5*q**3 + 2*q**2 - 1. Let a(d) = -15*d**2 - 34*d**3 + 9*d**2 + 8*d**2 + 40*d**3 - 2. Determine m*a(t) - 4*p(t). -2*t**3 - 2*t**2 - 2 Let x(m) be the first derivative of m**3 + m**2/2 - 5*m + 26. Suppose w + 12 = 4*u, 5*w - 3*w = u - 17. Let t(f) = -5*f**2 - 2*f + 8. What is w*x(q) - 5*t(q)? q**2 + 2*q Let s(p) = -26*p**3 + p**2 - 11*p. Let z(d) = 59*d**3 - 3*d**2 + 20*d. Determine -5*s(j) - 2*z(j). 12*j**3 + j**2 + 15*j Let a(n) = -2*n**2 - 79*n + 300. Let i be a(-43). Let h(t) = t. Let q be 10/8 + (-1)/4. Let u(z) = q - 4*z + 7*z + z. Determine i*h(b) + u(b). 3*b + 1 Let x(v) = -v**3 - v - 1. Let u(l) = 42*l**3 + 36*l**2 + l - 5. Let d(s) = 43*s**3 + 24*s**2 - 4. Let q(c) = -3*d(c) + 2*u(c). Give q(i) + 2*x(i). -47*i**3 Let n(w) = -2*w**3 - 7*w**2 - 4*w + 6. Let v be n(-4). Let j(x) = -13 - 12 - 14 + v. Let g(r) = 0*r - 3 - 3*r - r + 5*r. Calculate g(c) - 2*j(c). c - 1 Let r(x) = 5*x - 2. Let h(w) be the second derivative of -3*w**3/2 + 2*w**2 - 2038*w + 1. Let g = 29 + -18. Determine g*r(f) + 6*h(f). f +
{ "pile_set_name": "DM Mathematics" }
w - 22*w with respect to w. -64 Let i(r) = -115*r - 1265. Let z be i(-11). Let a(h) be the third derivative of 2*h**3 + 0*h + z + 12*h**2 + 7/24*h**4. What is the derivative of a(m) wrt m? 7 What is the second derivative of 1343*v + 906*v + 9464*v**2 - v**5 - 9383*v**2 wrt v? -20*v**3 + 162 Let h(u) be the third derivative of 331*u**6/60 + u**5/15 - 217*u**4/8 - u**3/6 + 27*u**2 - 23. Find the second derivative of h(x) wrt x. 3972*x + 8 Let w(a) be the second derivative of -229*a**3/3 + 279*a**2/2 - 1189*a. What is the derivative of w(x) wrt x? -458 What is the second derivative of -59*s**4 + 215*s**4 + 5*s - 106 + 17*s**4 + 0*s**2 + 83*s**4 - 2*s**2 wrt s? 3072*s**2 - 4 Suppose 2*j + 2 = -v + 5, -4*j - 16 = 0. What is the second derivative of 2*r + v*r**5 + 14*r**5 - 52572 + 52567 wrt r? 500*r**3 What is the third derivative of 1204*h**5 - 16*h**5 - 130*h**5 - 76*h**2 + 70*h**2 - 123 wrt h? 63480*h**2 Let d(j) be the first derivative of 0*j**2 - 23/5*j**5 + 0*j**4 + j + 32 - 10/3*j**3. Find the third derivative of d(o) wrt o. -552*o Let s(f) = -89*f**2 - 2198*f + 8529. Let y(q) = 74*q**2 + 2200*q - 8528. Let r(w) = -5*s(w) - 6*y(w). Differentiate r(v) with respect to v. 2*v - 2210 Let x(f) = f**2 + f + 2. Let z(q) = -q**3 - 6*q**2 - 881*q - 490. Let n(b) = 6*x(b) + z(b). What is the derivative of n(t) wrt t? -3*t**2 - 875 Let j(r) be the second derivative of 1427*r**4/12 + 29*r**3/2 + 2*r**2 - 2*r + 168. Find the second derivative of j(c) wrt c. 2854 Let x(y) be the third derivative of -118*y**4/3 + 108*y**3 + 75*y**2 - 2. What is the first derivative of x(h) wrt h? -944 What is the first derivative of -64 - 143*u - 667 + 1429*u wrt u? 1286 Let s = -1121 - -1876. Differentiate s + 4*x - 569 - 2*x with respect to x. 2 What is the third derivative of -70869*d**2 + 4010*d**4 + 44174*d**2 + 34931*d**2 wrt d? 96240*d Let r(d) be the second derivative of -215*d**6/3 + 3500*d**2 + 3*d - 627. Differentiate r(m) with respect to m. -8600*m**3 Let q be ((-285)/(-10) + -6)*(-4)/(-6). Find the third derivative of -21*t**4 - t**5 + 14*t**2 - 16*t**2 + 26*t**2 - q*t**4 wrt t. -60*t**2 - 864*t Let q be 1/6*6 - -3. What is the third derivative of i**2 + q*i**2 - 6*i**2 - i + 18*i + 117*i**6 wrt i? 14040*i**3 Find the third derivative of -1000*w**3 - 3700*w**2 - 350*w**2 + 832*w**2 + 2871*w**3 - 2674*w**2 wrt w. 11226 Suppose 6*x = 9*x - 147. Let p = x + -47. Find the third derivative of -16*o**p - 3*o**6 + 0*o**2 + 9*o**2 wrt o. -360*o**3 Let x(t) = t**2 + 2*t - 23. Suppose -2*k - 4*v + 9*v - 4 = 0, k - v + 5 = 0. Let q be x(k). What is the first derivative of 8 - 2 + 11 + q*b**2 wrt b? 24*b Let n(q) be the first derivative of 0*q**3 - 5/4*q**4 - 15/2*q**2 + 37 - q + 1/5*q**5. What is the second derivative of n(d) wrt d? 12*d**2 - 30*d Find the third derivative of 187*m**6 + 26*m**2 + 41*m**5 - 39*m**2 + 372*m - 30*m**5 + 16*m**2 wrt m. 22440*m**3 + 660*m**2 Let u be (-3 + (-23)/(-5))/((-2)/(-20)). Find the third derivative of -5*b**2 - 956*b**3 - u*b**4 + 956*b**3 - 3 wrt b. -384*b What is the derivative of 145*m + 752 - 3*m**2 + 432 + 2142 + 639 wrt m? -6*m + 145 Find the third derivative of -h + 96*h**3 - 90*h**3 + 311*h**3 + 40*h**2 + h wrt h. 1902 Differentiate 1486 - 45*z**4 + 1652 + 729*z**4 with respect to z. 2736*z**3 Suppose 5*j = -5*c + 35, -18 = -4*j - 3*c + c. What is the second derivative of -h**j - 106*h + 16*h**2 + 178*h - 2*h**3 wrt h? -12*h + 30 Let n be (-2)/5 - 378/(-70). What is the third derivative of -14*v**2 - n*v**4 - 7*v**2 + v**3 + 2*v + 40*v**2 - 10*v**2 wrt v? -120*v + 6 Suppose 2*j - 5*p = -11, -27*j + 24*j - p = -9. Differentiate -l**4 + 21777*l**2 - 141 - 115 - 21708*l**j - l**4 with respect to l. -8*l**3 + 138*l Let n(o) be the first derivative of 17*o**7/7 + 3*o**5 + 4633*o**3/3 + 7681. Find the third derivative of n(x) wrt x. 2040*x**3 + 360*x Suppose -9 = -x - 5. Suppose x*t + 11 = 19. What is the first derivative of -9*q**2 - 38 - 14*q**t + 35 wrt q? -46*q Let x(y) be the second derivative of -361*y**7/42 - y**6/30 + y**5/20 - 2141*y**3/3 - y**2 - 1579*y. Find the second derivative of x(j) wrt j. -7220*j**3 - 12*j**2 + 6*j Let z(f) = -f**2 - 48*f - 131. Let m be z(-45). Differentiate -17*g**2 + 3*g**2 + 8963*g**4 - 211 - 8969*g**m with respect to g. -24*g**3 - 28*g Let o(u) be the first derivative of 15*u**2/2 - 7*u + 19. Let x be o(2). Find the second derivative of x*l - 3*l + 4*l - 10*l - 6*l**5 wrt l. -120*l**3 Let d(w) = 2210*w**3 - 29*w + 1560. Let n
{ "pile_set_name": "DM Mathematics" }
or a. -4 Let h = 14 + -5. Suppose -3*c - 5*z + 31 = 0, 3*c - 3*z + h = -0*c. Solve -2*t + 2 = 3*g, 4*t + 6 = c*t + g for t. -2 Let p be 24*(-3 + (-66)/(-18)). Solve -5*x - 5*w = -15, 2*w = -4*x + p - 6 for x. 2 Let m(l) = -3*l - 1. Let b(q) = 12*q + 5. Let y(o) = 2*b(o) + 9*m(o). Let i be y(-4). Solve -5*g + 4*g - i = 3*u, -2*u = 5*g + 26 for u. -3 Let x = -5 + 10. Let g be (3 - 3) + (x - 2). Solve -2*t + 11 + 1 = 2*p, g*p + 10 = 4*t for t. 4 Let c = 56 - 56. Solve -d = -c*d + 3*a - 2, d - 8 = 3*a for d. 5 Let u be (32/(-12) + -2)*3. Let z(q) = q**3 + 14*q**2 + 4. Let i be z(u). Solve l = 2*l - k - 10, 5*k = -i*l - 5 for l. 5 Let q(z) = z**2 + 6*z + 11. Let h be q(-3). Solve 4*x + h*a = -2, -4*x + 0*a - 3*a = -1 for x. -2 Let u = -24 + 26. Solve -4*k - 6 = 5*s, -s + u*k + 17 = 7 for s. 2 Let x be (16/(-48))/(1/(-75)). Solve 4*q + x - 7 = f, 5*q + 2*f + 16 = 0 for q. -4 Suppose -3*f - 2 = 13, 2*d - 39 = 5*f. Solve q - 1 - 3 = -3*x, 2*q - d = -5*x for q. 1 Let q = -4 + 6. Suppose 5 = 4*w - 11. Let m = -4 + w. Solve 5*o - 16 = 2*i + q*o, 2*o - 4 = m for i. -5 Let f = 8 - 5. Let i = 8 - 8. Let c(k) = k**2 + 5. Let z be c(i). Solve 3*d + f - 1 = z*l, 0 = -d + 2*l for d. -4 Suppose -3*j = -0*j. Solve 2*f + 3*k + 22 = j, 5*k - 14 = -3*f - 49 for f. -5 Let x be 5*((-6)/10 + 1). Solve 5*a = 3*c - 40, 3*c - x*a - 25 = -0*c for c. 5 Let x(i) = -2*i + 4. Let c be x(0). Solve -19 = 3*q - 4*l, -c*q - 17 - 2 = l for q. -5 Let q(v) = 5 - 1 + 1 + 6*v**2 + v**3. Let y be q(-6). Solve -4*g - 5*b = 12, 0*b + y*b = -g - 3 for g. -3 Suppose -4 = 13*j - 14*j. Solve -5 = 3*d + s - 0, -j*d + 2*s = 0 for d. -1 Let h = 28 - 25. Solve 0 = 3*l + h*w, w - 10 = 3*l + 2*w for l. -5 Let k(r) = -r**3 + r**2 + r + 5. Let b be k(0). Solve -g - 10 = 5*l - 3*l, b*g = l - 6 for g. -2 Suppose 6*b = 7*b - 9. Suppose -b*o + 6*o + 9 = 0. Solve 35 = 3*r - 5*n, -n - 6 = 2*r + o*n for r. 5 Let c(z) = -7 + 2 - 6*z + 11*z**2 - z**3 - 4*z**2. Let f be c(6). Let n(p) = p + 7. Let o be n(f). Solve -4*h = -s + h - 20, 0 = o*h - 8 for s. 0 Suppose -3*i + 15 = 0, -5*z - i + 2*i + 50 = 0. Suppose -z = -3*r + 2*r. Solve -3*n - r = o - 0*o, -10 = 5*o for n. -3 Let h(r) = -5*r - 28. Let n be h(-6). Solve 2*g + 5*i - 3 = 0, 1 + n = g + i for g. 4 Let u(x) = -x**3 - x**2 - 3*x + 5. Let t be u(5). Let g be (-2)/7 - t/(-28). Let f = -2 - g. Solve 5*r + 3 = l - 3, 3*r + 7 = f*l for l. 1 Suppose 0 = -5*z - 0*t - t - 2, -z = -t - 2. Solve -4*g + 5*w = -z*w + 33, -3*g - 4*w = -14 for g. -2 Suppose -2*m - 5*c = -0*c + 9, 0 = c + 3. Solve 0 = h - 2*r + m, 0*h - 4*r + 9 = -h for h. 3 Suppose 3*d + 2 - 11 = 0. Solve -l - 1 = y - 0*y, -d*y + 9 = 0 for l. -4 Let n(q) = 6*q - 1. Let y be n(1). Suppose -y*r = -2 - 3, -2*r = -2*h + 8. Solve -h*t = -3*d - 12, 5*d - 5*t + 18 = -2 for d. -4 Suppose 0 = 2*m + 9 - 39. Solve -3*v - 11 = 2*u + 3*u, 0 = -5*v + m for u. -4 Let k = -19 + 31. Solve 0 = -2*g - 2*p - 4, -k + 4 = -g + p for g. 3 Let z(a) = -a**2 + 6*a. Let s be z(7). Let t(g) = -g - 5. Let w be t(s). Suppose -4*j = -j. Solve 0 = -m + 2*v - 11, j*m + 2*v - w = -2*m for m. -3 Let q(j) = -2*j**3 + j**2 - j - 2. Let y be q(-1). Solve 0 = -5*n - 5*r - 2 - 3, 5*n = y*r - 33 for n. -5 Suppose 0 = -0*w + w - 1. Let d be 18/45*(w + 9). Solve -2 = 2*h, 0 = 4*g - d*h - 4 - 0 for g. 0 Let n be 0 - 0 - 15/3. Let z(c) = -c**3 - 6*c**2 - 6*c + 1. Let f be z(n). Suppose -3*b + 9 = -f. Solve b*h + 6 = 4*m, -m - h + 3*h + 3 = 0 for m. -1 Suppose 253 = 4*d - 47. Suppose -d = -a - 4*a. Solve 2*j - 7*j + a = 0, -f + 2*j = 9 for f. -3 Suppose -3*b + 5*l - 3 = -2, -3*l + 1 = -2*b. Let o = b + -17. Let f = o + 39. Solve -4*t - 3*z - f = 0, 4*t - z = 2*t - 10 for t. -5 Let j(s) = -s + 2. Let b be j(0). Let i be 2/(-8)*b*-4. Solve -f - i = 2*x - 0, 8 = -4*x for f. 2 Let
{ "pile_set_name": "DM Mathematics" }
*v = -0*v - 24, -4*z = 5*v - 29. Solve -2*c + c = -z for c. 1 Suppose 2*z - z - 4 = 0, 5*z = -5*k + 30. Suppose 25 = k*q + 3*q. Solve 3*r = -q + 20 for r. 5 Let n be (28/(-49))/(4/(-14)). Suppose 0 = -4*b + n*b + 8. Solve 0 = 3*o + 7 - b for o. -1 Suppose -4*v + 2*v = -8. Let i(a) = a**3 - 5*a**2 + 5*a + 4. Let p be i(v). Let l(f) = f**2 + 2*f + 1. Let u be l(-3). Solve 0*w + u*w + p = 0 for w. -2 Let a be 0/((-1)/((-1)/2)). Solve a*h + 16 = 4*h for h. 4 Let t be (0*(-2)/(-4))/(-2). Let b be (-31)/(-8) + (-5)/(-40). Suppose -b*i = -3*i. Solve t = -n + 2 - i for n. 2 Let x(i) = 2*i - 4. Let p be x(4). Suppose -b + 4*b = 0. Solve k + b = -p for k. -4 Let q = 0 - -9. Let s(a) = -a**2 + 6*a - 1. Let w be s(5). Suppose -w*g + h = -13, 3*g + 0*g - 3*h - 12 = 0. Solve g*p + 3 = -q for p. -4 Let o(a) = a**3 - 3*a + 1. Let z be o(2). Let m(j) = -j**2 + j + 9. Let t be m(0). Let w be (-6)/15 - 2/(-5). Solve w*h - t = -z*h for h. 3 Suppose -4*n + 30 = 5*z, 0 = -2*z - z - 2*n + 16. Suppose -p = z*p - 12. Let l = p + -2. Solve u = -u - l for u. -1 Let y = 24 + -24. Suppose y = 7*v - 3*v. Solve 4 + v = -4*t for t. -1 Suppose -26 + 6 = -3*v + 4*n, 2*n + 52 = 5*v. Let x be (0 - (-21)/v)*4. Let s = 2 + -2. Solve s = -x*y + 3*y for y. 0 Suppose 0 = 4*d - 3*j + 3, 6*d - 3*d + 4 = 4*j. Let t be -1*(-1)/3*d. Suppose -2*q + t*x - 4*x = -4, 4*x = 4*q - 20. Solve 3*g - q*g = 2 for g. -2 Suppose -4*z - 4 = -h, h + 8 = -z + 17. Solve -4*b + h*b = 8 for b. 2 Suppose 0 = 5*k + 4*t - 78, k = -3*k + 4*t + 84. Let s be (-2)/(-10) - k/(-10). Solve -p + s + 1 = 0 for p. 3 Let d(z) = -z**2 - 8*z - 5. Let i be d(-7). Suppose 2*a = -i*a. Suppose -4*b - 2*r = a, 0 = -b + 3*b + 4*r. Solve -s = -b*s for s. 0 Suppose y + 0*y + 3*s = 0, -3*y - 7 = 2*s. Let n be (-1)/y - (-1)/(-3). Solve -4*g + 2 - 22 = n for g. -5 Let y(x) = -x**2 + 7*x - 3. Let n be y(5). Let w(q) = q + 0*q + n - 1. Let o be w(-6). Solve o = 5*h - 4 - 16 for h. 4 Suppose f - 5 - 1 = 0. Let u(k) = -k**3 - 3*k**2 - 2*k - 2. Let a be u(-3). Suppose 0 = -o + 2*o - 0*o. Solve -a*w + w + f = o for w. 2 Let s be ((-2)/(-5) - 1)*-15. Suppose -s = -b + j, -b + 14 = 3*j + j. Solve -m - m = b for m. -5 Let g(b) = -b + 7. Let m be g(4). Suppose 0 = -m*w - 0*w. Solve w = 6*v - 4*v + 10 for v. -5 Let p(d) = -d**2 - 4*d + 10. Let m be p(-7). Let f = -6 - m. Suppose 3*v + 5*y = 60, -f*v - 3*y + 100 = -2*y. Solve 3*i + 2*i = v for i. 4 Suppose 4*j - c + 5*c - 12 = 0, 3*j = 2*c + 9. Suppose -s = 3*g + 15, -j*s + 3*g + 6 = -9. Solve -r + 2*r - 1 = s for r. 1 Let k(u) = -u + 9. Let x be k(9). Solve x = -3*p + p for p. 0 Let i(q) = q**3 - 14*q**2 + q - 13. Let s be i(14). Suppose 0 = -u - 1 - s. Let y be (-1)/u*(-2)/(-1). Solve -7 = -2*p - y for p. 3 Let a(n) = -21*n - 12. Let t be a(-8). Let y be 2/(-4) + t/8. Solve 5*w - 6 = y for w. 5 Let g = 8 - 2. Let j(v) = v**2 - v + 6. Let l(i) = i**2 + 1. Let r(x) = -j(x) + 2*l(x). Let f be r(-3). Solve f*b = -2 + g for b. 2 Let l(w) = -2*w - 8. Let z be l(-5). Solve 2*h = -z*h - 4 for h. -1 Let b = -37 + 42. Solve -4*i - i = -b for i. 1 Let x = 55 + -52. Solve -x*i = 2*i + 5 for i. -1 Suppose 7*q = 4*q. Solve 0 = -3*r + 6 - q for r. 2 Suppose -z - z + 24 = 0. Solve 0 = 3*y + z - 3 for y. -3 Let j(n) = 4*n**2 + 1. Let d be j(-1). Suppose 0 = -o - r + 32, -d*o - r = -205 + 29. Let y be ((-4)/(-6))/(8/o). Solve 2*q - y*q + 1 = 0 for q. 1 Let g = -2 + 1. Let m(w) = -2*w**3 - w**2 + 1. Let z be m(g). Solve z*h - 4*h + 2 = 0 for h. 1 Let t(b) = 2*b**3 - 2*b**2 - b + 1. Let x be t(2). Suppose 0*y + 32 = 4*v - 5*y, -61 = -5*v + y. Let a = -8 + v. Solve a*c + 27 = x for c. -4 Suppose 0 = -5*c + 3*t - 64, t - 14 = 4*c - 3*c. Let q = c + 11. Solve 5*l - l - 20 = q for l. 5 Let j = -15 - -28. Let q = -8 + j. Suppose -q*v = f - 6, -5*v = -3*f + f - 18. Solve 2*b = -v*b + 12 for b. 3 Suppose -f = -3, 2*f = 2*i + 3*i - 14. Solve -5 = -i*u - 1 for u. 1 Let l be (6/(-9))/(2/(-6)). Let r be -2 + (l - -1) + 4. Solve 6*v =
{ "pile_set_name": "DM Mathematics" }
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2203, 1076263 What are the prime factors of 209219548? 2, 673, 77719 List the prime factors of 80574458. 2, 17, 2369837 What are the prime factors of 39822081? 3, 13, 19, 61, 881 What are the prime factors of 733629024? 2, 3, 2547323 List the prime factors of 1449502848. 2, 3, 41, 30689 List the prime factors of 160124737. 3499, 45763 What are the prime factors of 27591247? 27591247 List the prime factors of 1634334407. 449, 991, 3673 What are the prime factors of 343764295? 5, 7, 41, 239557 What are the prime factors of 1063512373? 7, 11, 67, 211, 977 What are the prime factors of 2339247315? 3, 5, 23, 6780427 What are the prime factors of 2872828165? 5, 53, 1319, 8219 What are the prime factors of 1413604437? 3, 7, 41, 1641817 List the prime factors of 224990932. 2, 19, 29, 31, 37, 89 List the prime factors of 5863712095. 5, 12659, 92641 List the prime factors of 2340726389. 2340726389 What are the prime factors of 967081376? 2, 331, 91303 What are the prime factors of 521404815? 3, 5, 34760321 What are the prime factors of 44068308? 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{ "pile_set_name": "DM Mathematics" }
ve -1 = 3*l + a*q + 7, 3*q + 6 = 2*l for l. 0 Let t = -3 + 6. Suppose 8*i = 7*i - 1. Let m = i + t. Solve -m*c + 8 = 2*s, -5*s - c + 13 + 11 = 0 for s. 5 Suppose 5*h = 2*h + 6. Suppose -h*m = -5*m + 9. Suppose -g + 8 = m*o, 0*g + 5*o = g + 8. Solve -g*u + 0*u = 5*d - 10, -3*u - 19 = -d for u. -5 Let q be 0 + -1 + 0 + 1. Suppose -5*x + 2*n + 55 = q, 6*n = n - 25. Let h = 13 - x. Solve 0*m + 4*m - 3*p - h = 0, -5*m + 5 = -4*p for m. 1 Let n(o) = -o + 13. Let i be n(6). Suppose i = 2*c - 17. Solve 24 = 2*d - 5*y, -d - c = 3*d + 5*y for d. 2 Suppose -3 = -2*s + 7. Suppose s*z - 8 + 38 = 0. Let b = z + 10. Solve q = -b*q - 5, 2 = f + q for f. 3 Suppose 0 = 5*v - 33 - 7. Solve -9 = 5*h + 3*x + v, -3*h - 11 = 2*x for h. -1 Let z(x) = -x**2 + 19*x - 15. Let d be z(18). Solve 0 = 2*h - 3*h - 1, 4*h = -d*a - 10 for a. -2 Let k be -3 - -18 - 2 - -2. Solve -4*z - 7*u + 20 = -3*u, -3*z = -u - k for z. 5 Suppose -4*g + 6 = -10. Suppose -3*t - g*w = -19, 2*t - 4*t + 18 = 4*w. Suppose -7 + t = -2*v. Solve -l - v*l + 5*k - 3 = 0, 0 = l + k - 6 for l. 3 Let h = 5 - 5. Suppose h*z - 2 = -2*u + 2*z, 0 = 3*u - 2*z - 7. Let c(p) = -p. Let d be c(-5). Solve 21 = f + u*l, 2*f = d*l - 12 - 21 for f. -4 Let g(o) = -6*o - o + o**2 - 7 + 0. Let x be g(8). Solve 0*r = -a + r - x, -5*a + 1 = -3*r for a. 2 Suppose 7*c + s = 4*c - 2, -4*s - 8 = -2*c. Solve 2*a + c*h = -3*h - 3, 0 = -4*a - 5*h - 3 for a. 3 Suppose 0 = 4*v, 0 = -n - 4*n + v + 30. Let t = -6 + n. Solve -g + x + 1 + 1 = t, x - 2 = -g for g. 2 Suppose -4*c + 0*c + 55 = 3*w, -2*w - 5*c + 39 = 0. Suppose -2*f + 12 + 6 = 0. Solve -8*z + 3*z = -3*p - w, -2*p = -z + f for z. 1 Let f(v) be the first derivative of -3*v**2/2 - 10*v + 4. Let r be f(-4). Solve 3*s - s - 2 = -2*p, r*p = -4*s + 12 for p. -4 Let j be ((-4)/(-6))/(2/15). Let o(b) = -j*b - 3 + 4*b + 3*b + 1. Let s be o(2). Solve 3*p - 1 - s = 3*x, 2*p + 5*x + 26 = 0 for p. -3 Let z(j) be the second derivative of j**5/10 + j**4/12 - j**3/3 + j**2/2 + j. Let f be z(1). Solve -4*l - 29 = 8*s - 3*s, s + 3 = f*l for l. -1 Let q = 30 + -26. Let z(b) = -b - 4. Let p be z(-4). Solve p = -5*s + 4*d - 6, 2*d = -q*s - 2*d - 12 for s. -2 Let p(d) = -d**2 + 7*d - 4. Let z be p(6). Suppose 2 = t - z. Let q(b) = -b**2 + 6*b - 6. Let k be q(t). Solve -k*n + g = -2*g + 5, -n = -3*g + 7 for n. 2 Suppose -22 = 3*j - j. Let t = 20 + j. Solve t*z + 20 = -4*g + 5*z, 3*g - 2*z + 15 = 0 for g. -5 Let j(i) = -2*i + 8. Let s be j(4). Suppose -5*u + 1 + 19 = s. Solve 5*t = -b + 2, -4*t + b + 2 = u for t. 0 Let t = -2 - -2. Suppose -12 = -5*y - 4*o, 2*y + t - 6 = -o. Solve -4*h - y = 0, 0 = -3*n - 3*h + h + 4 for n. 2 Let l = -97 - -117. Solve 0*w - 3*o + 19 = 5*w, -l = -2*w + 5*o for w. 5 Let v(q) = -q**3 + 7*q**2 - 6*q + 2. Let y be v(6). Let s = 2 + y. Solve 7*a - h = 4*a + 4, 3*a = -s*h - 1 for a. 1 Let p be (-8)/36 - 220/(-18). Let v = -8 + p. Suppose v*g = 16 - 0. Solve -4*z = -4*d - d + 25, g*d = 4*z + 20 for z. 0 Suppose 3*t - 5*t = -20. Solve -3*k + 2 = -4*k + v, 5*k + 3*v + t = 0 for k. -2 Suppose 3*a = -j + 19, 2*a - 4*j - 29 = -a. Suppose 4*i = 3*p + 19, -2*i = -a*i + p + 21. Solve -2*m + d = -i, 2*m - 7*d + 8 = -3*d for m. 4 Let b(j) = -j + 1. Let y be b(-7). Let u = y - 5. Solve 0 = 2*r - 3*g - 2 + 3, -u*g + 2 = -r for r. 1 Let o = 2 + 4. Suppose -y = 2*y - 12. Let z = -3 + y. Solve o = -5*t - f, 4*f - z = -0*t + 5*t for t. -1 Let o be ((-11)/(-3))/(5/30). Suppose -i + o = -5*b, -4*b = -3*i + b + 26. Suppose -t = -i*t. Solve 4*k - 8 = -2*l, 4*l - 16 = k - t*k for l. 4 Let f be ((-10)/20)/((-2)/(-20))*-1. Solve 0 = -4*w + o - f*o, 0 = 2*w - 5*o for w. 0 Suppose -5*t - 11 - 9 = 0, 4*d - 2*t = 16. Solve -5*a + 3*g - 13 = 0, -3 = a + g - d for a. -2 Suppose 5 + 5 = 5*t. Let r = 2 - t. Solve r*f - 5*d = 4*f + 32, 2*f = 5*d + 14 for f. -3 Let p be -1 - (-2 - -6)/(-1). Solve -p*z + 4
{ "pile_set_name": "DM Mathematics" }
nds digit of 124553? 4 What is the hundred thousands digit of 294461? 2 What is the ten thousands digit of 768974? 6 What is the thousands digit of 470770? 0 What is the thousands digit of 41889? 1 What is the units digit of 15848? 8 What is the units digit of 73597? 7 What is the hundred thousands digit of 240899? 2 What is the millions digit of 12768102? 2 What is the thousands digit of 4755916? 5 What is the millions digit of 13853296? 3 What is the units digit of 2985416? 6 What is the tens digit of 149414? 1 What is the hundred thousands digit of 834604? 8 What is the ten thousands digit of 444732? 4 What is the units digit of 1254629? 9 What is the millions digit of 1795455? 1 What is the tens digit of 9594460? 6 What is the ten thousands digit of 24196767? 9 What is the hundreds digit of 219067? 0 What is the millions digit of 5661258? 5 What is the tens digit of 342638? 3 What is the ten thousands digit of 555816? 5 What is the millions digit of 3362594? 3 What is the units digit of 2610682? 2 What is the tens digit of 508001? 0 What is the thousands digit of 2118083? 8 What is the units digit of 62163? 3 What is the tens digit of 1983195? 9 What is the tens digit of 59082? 8 What is the hundreds digit of 20852? 8 What is the units digit of 46347? 7 What is the units digit of 1415690? 0 What is the hundred thousands digit of 184769? 1 What is the hundreds digit of 1187131? 1 What is the millions digit of 9655214? 9 What is the hundred thousands digit of 219255? 2 What is the hundred thousands digit of 2119939? 1 What is the units digit of 409329? 9 What is the hundreds digit of 182913? 9 What is the hundreds digit of 295530? 5 What is the hundred thousands digit of 302714? 3 What is the units digit of 315756? 6 What is the tens digit of 3180697? 9 What is the tens digit of 6407? 0 What is the units digit of 34726? 6 What is the tens digit of 285020? 2 What is the hundreds digit of 2080178? 1 What is the ten thousands digit of 214363? 1 What is the ten thousands digit of 81157? 8 What is the tens digit of 6044? 4 What is the millions digit of 1634146? 1 What is the hundred thousands digit of 11967478? 9 What is the units digit of 11434922? 2 What is the tens digit of 10345111? 1 What is the millions digit of 1464524? 1 What is the tens digit of 26457? 5 What is the hundreds digit of 31975817? 8 What is the units digit of 7074455? 5 What is the thousands digit of 54064? 4 What is the ten thousands digit of 199788? 9 What is the tens digit of 4204809? 0 What is the hundred thousands digit of 2995214? 9 What is the hundreds digit of 16145004? 0 What is the thousands digit of 18281? 8 What is the thousands digit of 14995441? 5 What is the units digit of 244793? 3 What is the units digit of 665743? 3 What is the tens digit of 709700? 0 What is the thousands digit of 4803804? 3 What is the millions digit of 5084725? 5 What is the hundred thousands digit of 505518? 5 What is the units digit of 515174? 4 What is the hundreds digit of 599124? 1 What is the hundred thousands digit of 237972? 2 What is the hundred thousands digit of 402289? 4 What is the units digit of 718418? 8 What is the millions digit of 2636281? 2 What is the thousands digit of 6433251? 3 What is the units digit of 92714? 4 What is the ten thousands digit of 63816? 6 What is the hundred thousands digit of 4103445? 1 What is the units digit of 282485? 5 What is the tens digit of 6104789? 8 What is the ten thousands digit of 229410? 2 What is the units digit of 151198? 8 What is the hundred thousands digit of 3506559? 5 What is the units digit of 9844479? 9 What is the tens digit of 288116? 1 What is the thousands digit of 289209? 9 What is the ten thousands digit of 3943158? 4 What is the ten thousands digit of 761493? 6 What is the ten thousands digit of 3316392? 1 What is the thousands digit of 3466476? 6 What is the hundred thousands digit of 156988? 1 What is the hundreds digit of 1499005? 0 What is the hundreds digit of 1408045? 0 What is the units digit of 5891775? 5 What is the thousands digit of 230099? 0 What is the hundreds digit of 340439? 4 What is the tens digit of 3218041? 4 What is the hundreds digit of 13521693? 6 What is the tens digit of 13788942? 4 What is the units digit of 410445? 5 What is the ten thousands digit of 1079501? 7 What is the units digit of 12414978? 8 What is the hundred thousands digit of 3222152? 2 What is the ten thousands digit of 6973632? 7 What is the hundred thousands digit of 2864669? 8 What is the thousands digit of 2532637? 2 What is the thousands digit of 7711152? 1 What is the thousands digit of 582061? 2 What is the hundreds digit of 311552? 5 What is the tens digit of 105600? 0 What is the hundreds digit of 120170? 1 What is the thousands digit of 1111105? 1 What is the ten thousands digit of 679938? 7 What is the hundreds digit of 107829? 8 What is the tens digit of 1422913? 1 What is the units digit of 284895? 5 What is the units digit of 15801095? 5 What is the ten thousands digit of 5068469? 6 What is the tens digit of 864238? 3 What is the units digit of 192745? 5 What is the tens digit of 1543310? 1 What is the thousands digit of 6745373? 5 What is the hundreds digit of 942254? 2 What is the hundreds digit of 8001765? 7 What is the millions digit of 3231672? 3 What is the millions digit of 2912744? 2 What is the hundreds digit of 1218786? 7 What is the units digit of 211832? 2 What is the hundred thousands digit of 188835? 1 What is the hundred thousands digit of 452479? 4 What is the tens digit of 3754472? 7 What is the tens digit of 4072285? 8 What is the hundred thousands digit of 2649120? 6 What is the tens digit of 7594263? 6 What is the hundreds digit of 31983? 9 What is the units digit of 81190? 0 What is the hundred thousands digit of 23947479? 9 What is the thousands digit of 1731530? 1 What is the hundreds digit of 10305? 3 What is the millions digit of 1468175? 1 What is the ten thousands digit of 1661569? 6 What is the ten thousands digit of 77418? 7 What is the hundred thousands digit of 929268? 9 What is the hundreds digit of 1644031? 0 What is the hundred thousands digit of 416014? 4 What is the hundred thousands digit of 4711729? 7 What is the thousands digit of 79114? 9 What is the tens digit of 520954? 5 What is the hundreds digit of 41445168? 1 What is the units digit of 572181? 1 What is the ten thousands digit of 186240? 8 What is the units digit of 5326330? 0 What is the units digit of 4710752
{ "pile_set_name": "DM Mathematics" }