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t a? -120*a + 12 Let d(j) = -120*j**3 + 112*j**3 - 3 + 3. Let i(a) = -17*a**3 - a**2. Let w(b) = -14*d(b) + 6*i(b). What is the third derivative of w(z) wrt z? 60 Let q be ((-16)/(-20))/(2/5). Find the first derivative of 4*h - 1 + 0 - 9 - q wrt h. 4 Let y(v) be the first derivative of 0*v - 3*v**4 + 20*v**2 + 7 + 0*v - 22*v**2. What is the second derivative of y(d) wrt d? -72*d Suppose -24*w - 6 = -27*w. Let k(g) be the second derivative of 4*g + 0*g**5 + 0*g**4 - 1/10*g**6 + 0*g**3 + 0 + 3/2*g**w. What is the derivative of k(a) wrt a? -12*a**3 Let a = -6 + 4. Let y be -1 + -6*a/4. Find the third derivative of 48*b**3 - 5*b**y + 6*b**4 - 48*b**3 wrt b. 144*b Let m(f) = f**3 - 9*f**2 - 8*f - 11. Let g be m(10). What is the second derivative of -17*c**3 + 9*c**3 + g*c - 4*c wrt c? -48*c Let q be (108/63)/(2/7). Suppose 0 = -10*b + q*b + 8. Find the second derivative of -5*z - b*z**2 - 6*z**5 + z**5 + 2*z**2 wrt z. -100*z**3 Let x(k) = -3*k - 2*k - 6 + 6*k + 18. Let f be x(-9). Differentiate -4*i + 5*i + i + f*i + 7 wrt i. 5 Let m(d) = -d**3 + 5*d**2 - 4*d + 5. Let q be m(4). Find the second derivative of 17*i**q - i - 34*i**5 + 25*i**5 wrt i. 160*i**3 Suppose 0 = 5*r - 27 + 12. Suppose -2*f = r*f - 15. Find the second derivative of -2*y + 0*y**3 - 2*y + y**f wrt y. 6*y What is the derivative of -23 - 93*r + 14 - 50 - 48 - 46 wrt r? -93 Let l(w) be the first derivative of 21*w**3 + w**2/2 - 65*w + 37. Find the second derivative of l(a) wrt a. 126 Let j(h) = 211*h**3 - 33*h**2 - 109*h - 11. Let c(s) = -42*s**3 + 6*s**2 + 22*s + 2. Let a(f) = 11*c(f) + 2*j(f). What is the second derivative of a(v) wrt v? -240*v Let o(u) be the second derivative of -79*u**4/12 - 2*u**3 + u**2 + 2*u - 1. What is the second derivative of o(v) wrt v? -158 Suppose -3*w - 9 = 5*o + 1, 30 = 2*w - 4*o. Find the third derivative of p**2 - 24*p**w - 7*p**2 - 7*p**2 + 21*p**2 wrt p. -1440*p**2 Let q(y) = -37*y**3 - 52*y**2 + 3*y + 3. Let f(h) = 35*h**3 + 52*h**2 - 2*h - 2. Let u(s) = 3*f(s) + 2*q(s). Find the third derivative of u(d) wrt d. 186 Let k be (-2)/(40/(-12))*5. Let f(n) be the second derivative of 1/6*n**k + 5/2*n**2 + 0 + 6*n. Differentiate f(b) with respect to b. 1 Let z(w) be the first derivative of -w**3/3 - 2*w**2 + 169*w - 55. Find the first derivative of z(d) wrt d. -2*d - 4 Differentiate -1223*a + 1223*a + 93 + 19*a**3 with respect to a. 57*a**2 Let h(x) = 2*x**2 + 9*x - 18. Let i be h(-8). What is the derivative of 26*o**2 - 60*o**2 + 51 + 4*o + i*o**2 wrt o? 8*o + 4 Let n(w) = -1505*w**3 - 1019*w**2 - 7*w. Let c(f) = -755*f**3 - 509*f**2 - 4*f. Let p(v) = -7*c(v) + 4*n(v). What is the third derivative of p(d) wrt d? -4410 What is the derivative of -261*q**2 + 5*q + 487*q**2 + 154 - 247*q**2 - 2*q wrt q? -42*q + 3 Let q(s) be the first derivative of 11/2*s**2 + 0*s**4 - 12 - 3/5*s**5 + 0*s + 0*s**3. What is the second derivative of q(n) wrt n? -36*n**2 What is the third derivative of 3*h**2 + 0*h**2 + 8*h**5 + 27*h - 11*h**5 - 9*h wrt h? -180*h**2 Let t(c) = 9*c**4 - 7. Let j(z) = -48*z**4 + 65*z**4 + 134*z**4 - 119 + 3*z**4. Let v(h) = -2*j(h) + 35*t(h). Differentiate v(l) wrt l. 28*l**3 Differentiate 86 + 2*v**3 - 12*v**3 + 34*v**3 - 4*v**3 + v**2 wrt v. 60*v**2 + 2*v Let g(w) be the second derivative of 0*w**5 - 3*w - 8/5*w**6 - 21/2*w**2 - 1 + 0*w**4 + 0*w**3. Differentiate g(q) wrt q. -192*q**3 Let t(a) = -a**3 + 20*a**2 - 17*a + 19. Let u be t(19). Find the second derivative of u*q - 11*q**5 - 3*q**5 - 72*q + 3*q**5 wrt q. -220*q**3 Let a(w) = -1 - 44*w**2 - 6*w + 48*w**2 + 4*w. Let x be a(-1). What is the second derivative of 8*b**5 - 4*b**x + 3*b**5 - 3*b wrt b? 140*b**3 Let b(o) = -112*o - 11. Let j be b(-2). Find the third derivative of 182*h**4 - 3*h**2 - 29*h**2 + 6*h**2 - j*h**4 wrt h. -744*h Let j(r) be the third derivative of 0*r**3 + 0*r - 2*r**2 - 1/20*r**6 - 11/24*r**4 + 0 + 0*r**5. Find the second derivative of j(n) wrt n. -36*n Let n(l) = -l + 0 - l - 9. Let s be n(-7). Find the first derivative of p**4 + s - 1 - 1 + 5 wrt p. 4*p**3 Let m(u) be the first derivative of -121*u**4/2 + 2*u**3/3 + 350*u - 815. Differentiate m(n) with respect to n. -726*n**2 + 4*n Let p be 4/(-1 - 2 - -2). Let o = 6 + p. Find the second derivative of 2*i - 2*i**3 - 3*i**3 - o*i + 3*i wrt i. -30*i Let l(x) = x**2 - 4. Let u(t) = -9*t**2 + t - 85. Let w(p) = -4*l(p) - u(p). What is the second derivative of w(a) wrt a? 10 Let c = -6 + 6. Suppose -5*t + 4*t + 2 = c. What is the third derivative of a**2 - t*a**2 + a**5 - a**2 - 9*a**5 wrt a? -480*a**2 Suppose -3*t + 6 = u, -10*t = -7*t - 6. Let y(m) be the third derivative of -2*m**2 - 1/20*m**5 + u*m**4 + 0*m + 7/6*m**3 + 0. Differentiate y(n) wrt n. -6*n Let w(z) be the third derivative of z**5/30 + 39*z**4/8 + 50*z**3/3 - z**2 - 136*z. Find the first derivative of w(c) wrt c. 4*c + 117 Find the third derivative of -25*j**2 + 11*j**2 + 39*j**4 + 33*j**2 wrt j. 936*j Let k(i) = i + 6. Let s be k(6). Suppose 3*a + 8 - 4 = -2*f, 0 = 5*a - 3*f - 25. Find the third derivative of 3*l**a + 23 - 3*l**6 - 23 + s*l**6 wrt l. 1080*l**3 Let v(t) be the third derivative of -113*t**6/60 - 395*t**4/12 + 665*t**2. What is the second derivative of v(b) wrt b? -1356*b Let u = 4 - 0. Suppose -21*l = -16*l - 10. What is the first derivative of 0*f**3 - l - 6 + u*f**3 wrt f? 12*f**2 What is the second derivative of -2*c**4 - c**4 + 4 + 88*c - 43*c - 39*c wrt c? -36*c**2 Let k = 215 - 215. Let u(n) be the second derivative of 3*n + 0*n**4 + 0 + 2/3*n**3 + 1/5*n**5 + k*n**2. Find the second derivative of u(v) wrt v. 24*v Let z(l) be the second derivative of 5/6*l**3 + l**2 + 0 + 11*l. Differentiate z(g) wrt g. 5 Suppose 63*g + 40 = 71*g. Let l(v) be the third derivative of -2/3*v**3 + v**2 + 0 + 0*v**4 + 0*v - 1/20*v**g. Differentiate l(u) with respect to u. -6*u Let o = 0 + 3. Find the second derivative of -2*y + o*y - 124*y**2 - 3*y**3 + 124*y**2 wrt y. -18*y Let h = -19 - -20. What is the first derivative of 2 - 2 - 16*i**4 + h wrt i? -64*i**3 Let c(a) = 1 + a - 4 + 7 - 2 - a**2. Let v be c(0). Find the third derivative of 2*u**2 + 2*u**v - u**2 - 6*u**4 wrt u. -144*u Let v(t) be the second derivative of t**5/20 + 71*t**3/6 + 73*t**2/2 - 12*t - 4. What is the first derivative of v(c) wrt c? 3*c**2 + 71 Suppose 3*p = -7 + 4. Let y(n) = -n**3 - n**2 - n - 1. Let q(j) = 2*j**3 - j**2 - 10*j - 1. Let z(l) = p*y(l) + q(l). Find the second derivative of z(c) wrt c. 18*c Let a(s) be the third derivative of -11*s**7/21 - 55*s**4/8 + 169*s**2. What is the second derivative of a(m) wrt m? -1320*m**2 Find the third derivative of -u - 16*u**3 + 3*u + 10*u - 40*u**3 + 425*u**2 - 412*u**2 wrt u. -336 Let p(z) be the third derivative of -z**9/378 - z**6/90 - 2*z**3/3 - 5*z**2. Let r(i) be the first derivative of p(i). Find the third derivative of r(j) wrt j. -480*j**2 Let z(l) be the second derivative of 29*l**4/6 + 93*l**2 + 212*l. Differentiate z(x) wrt x. 116*x Let z(d) be the third derivative of 11/30*d**5 - 2*d**2 + 0*d**4 + 0*d - 1/70*d**7 + 0*d**3 + 0*d**6 + 0. What is the third derivative of z(g) wrt g? -72*g Let w(f) = -2*f - 5. Let d(y) = 276*y - 502. Let g(q) = d(q) + w(q). Find the first derivative of g(l) wrt l. 274 Let v(y) be the second derivative of -97*y**4/6 + 5*y**3/6 - y**2 - 129*y. Find the second derivative of v(n) wrt n. -388 Let m(w) = -w**3 + 25*w**2 - 5*w + 44. Let k(d) = -12*d**2 + 2*d - 22. Let b(g) = -5*k(g) - 2*m(g). Differentiate b(o) wrt o. 6*o**2 + 20*o Let i = -25 - -27. Suppose 0 = i*o - 5 - 5. What is the second derivative of -3*y + 5*y**3 + 3*y**3 - 8*y**3 - 4*y**o wrt y? -80*y**3 Let v(h) = -210*h**3 - 271*h**2 - 2*h - 2. Let o(z) = z**3 - z - 1. Let q(c) = 2*o(c) - v(c). What is the third derivative of q(m) wrt m? 1272 Differentiate -77 + 5*v + 73 + 2*v**2 - 4*v + 187 with respect to v. 4*v + 1 What is the third derivative of -202*y**2 + 204*y**2 - 3 + 9 - 54*y**3 wrt y? -324 Suppose 4*m + 2*c = -c + 35, 0 = -4*c + 20. Suppose u + 20 = 4*u + 5*w, 0 = m*u - 4*w - 21. Find the second derivative of -2*i**2 - u*i - 6*i**2 + 4*i wrt i. -16 Find the third derivative of -5*l**2 + 17*l**2 - 2*l**2 + 6*l**2 + 270*l**4 + 16*l**2 wrt l. 6480*l Let o be 8 + 3 + 4/(-1). What is the first derivative of -24 - 8 - o*y
{ "pile_set_name": "DM Mathematics" }
4. What is q rounded to 1 decimal place? 0.2 Let j = 98 + -11. Let h = 155708768 - 155708854.999909. Let x = h + j. What is x rounded to 5 decimal places? 0.00009 Suppose -7 = 11*t + 92. Let f(w) = -6*w + 36. Let z be f(t). What is z rounded to the nearest 100? 100 Let c(i) = 23*i**3 - 16*i**2 - 21*i - 18. Let b be c(17). Suppose 37*v - 32*v = b. What is v rounded to the nearest one thousand? 22000 Let k = 38.12 + -39. Let d = k + 1.132. What is d rounded to 2 dps? 0.25 Let z = 82 - 79.95. Let r = 1.9 - z. What is r rounded to 1 decimal place? -0.2 Let h = 181.3 + -80. What is h rounded to the nearest 10? 100 Let g be 4 - (-1 - 3) - -3. Suppose 0 = -8*v + g*v + 2370. What is v rounded to the nearest one hundred? -800 Suppose -5*y - 13854613 = 5*o - 471854603, 274800006 = 3*o - 3*y. What is o rounded to the nearest 1000000? 92000000 Let u = 96.835 + 0.165. Let a = -13803 - -13899.53. Let s = u - a. Round s to 1 dp. 0.5 Let j be (-42)/28 - 3311991/6. What is j rounded to the nearest 10000? -550000 Let o(h) = h**2 - 2*h - 3. Let t be o(5). Let k be (-2)/8 - (-91499415)/t. Let w = 4324951 - k. Round w to the nearest 1000000. -3000000 Suppose v + 3*v = -12. Let x(j) be the third derivative of -1611*j**4/2 + 2*j**3/3 + 13*j**2. Let a be x(v). What is a rounded to the nearest ten thousand? 60000 Let z = -9579908.545 + 9293716.3. Let w = z + 286194.24499997. Let h = w + -2. Round h to seven decimal places. 0 Let i = 3088498 + -3088500.5000016. Let o = -2.5 - i. What is o rounded to 6 dps? 0.000002 Let j(m) = -6*m**2 + 10766*m**3 + 0 - 2*m + 8 + 2008*m**3 + 13006*m**3. Let z be j(-4). What is z rounded to the nearest 100000? -1700000 Let y = 94 + -62. Let h = 31.999875 - y. What is h rounded to five decimal places? -0.00013 Let y = -244 + 244.002745. What is y rounded to four dps? 0.0027 Let s(z) = 94*z**2 + z - 5. Let x be s(-5). Suppose -h = h + x. What is h rounded to the nearest one hundred? -1200 Suppose 0 = -2*w - 3*o + 297254, 1181461 = 5*w - 3*o + 438368. Let m = w - 218621. Round m to the nearest one hundred thousand. -100000 Let u = -469 + 666. Round u to the nearest ten. 200 Let l = 7340 - 7340.00004963. Round l to 6 dps. -0.00005 Suppose 0 = -13*v + 15*v - 36. Round v to zero dps. 18 Suppose 36*j - 163440 = 42*j. Round j to the nearest ten thousand. -30000 Let q be 0 - (22 + 6 + -4). Let n be (22100/3)/((-8)/q). Round n to the nearest 1000. 22000 Let h = 1766 + -1763.373. What is h rounded to the nearest integer? 3 Let u(w) = 43324*w - 56. Let l be u(-6). What is l rounded to the nearest 100000? -300000 Let k = 44 + -76. Let r = 108 - k. Suppose -n - n - r = 0. What is n rounded to the nearest 10? -70 Let s(g) = -10084*g**2 + 4*g + 88. Let z be s(7). Round z to the nearest 1000000. 0 Suppose 13*c + 36 = 14*c. Let b be 439212/c - 2/6. Suppose 0 = -4*u + 5*u - b. What is u rounded to the nearest one thousand? 12000 Let f = 668.64228032 + -658.64228. Let c = f - 10. Round c to 7 decimal places. 0.0000003 Let c = 7.7866 + -7.8. Let h = c + -0.3936. What is h rounded to two decimal places? -0.41 Let l = 11020.988362 - 11021. What is l rounded to three decimal places? -0.012 Let i(v) = v**2 + 13*v - 10. Let m be i(-14). Suppose -4*c + 32 = m*q, q - 3 = c + 3. What is q rounded to the nearest 10? 10 Suppose 6 = -2*l - l. Let g be (-1)/l*0/(-5). Suppose -5*f = -g*p - 3*p - 4379975, -f + 5839995 = -4*p. Round p to the nearest 100000. -1500000 Let n = -56.51 - -70. What is n rounded to the nearest integer? 13 Suppose -6*s - 326452 = -13*s. Suppose v = -y + 68003, -3*v - 2*y = -s - 157370. Round v to the nearest ten thousand. 70000 Let z = -424.42 - -428. Let d = z + -3.57245. Round d to three dps. 0.008 Let n be (-6)/((0 + -4)*2/4). Suppose -4*q + b = -b - 4, -b = 2. Let t be n - q - (2 + 381). Round t to the nearest one hundred. -400 Let d = 24.09 - 24.0902762. Round d to five dps. -0.00028 Let c be (0 + (-3 - -3))/2. Let q = c - -5. Let x be q*(3 + -3 + 11600). Round x to the nearest ten thousand. 60000 Let b be ((-4436)/6)/(3/18). Let u = 6456 + b. Round u to the nearest one hundred. 2000 Let k = 451 + -805. Suppose -3*d + 467 = 5*v, 16 = d + 3*v - 133. Let x = k + d. What is x rounded to the nearest 100? -200 Let k = -5.66 - -4.6. Let z = -0.971 - k. Let n = -0.08899959 + z. What is n rounded to seven decimal places? 0.0000004 Let x = 353 - 353.0708. Let m = -1.787 + 1.87. Let g = m + x. Round g to 3 decimal places. 0.012 Let n = 7323288.1299922 + -7323289. Let f = 0.87 + n. What is f rounded to six decimal places? -0.000008 Let i(r) = 416*r**3 + 3*r**2 - 3*r + 1. Let f(o) = o**2 + 2*o - 2. Let n be f(-3). Let s be i(n). Suppose -3*j + 1437 = s. Round j to the nearest 100. 300 Let r = -5695.902 + 5689. Let z = r + 6.8. Round z to two decimal places. -0.1 Let h be 6/(-27) - ((-76)/18 + 0). Suppose 17778 = 2*p + 2*n, n = -4 + 2. Suppose -h*x - 3509 = p. Round x to the nearest 1000. -3000 Let r = 66 + -73.5. Let t = -7.49882 - r. What is t rounded to 4 dps? 0.0012 Let y = 12535 + -12838.04. Let m = -290.0372 - y. Let x = m + -13. What is x rounded to three decimal places? 0.003 Let p be (2/4)/((1/(-4))/(-1)). Suppose -65196 = p*d - 4*r, -r + 2 = 3. Round d to the nearest ten thousand. -30000 Let f be (-1)/(20/(-12))*5. Let n be ((-6)/f + -1)/1. Let l be n/6 + (-683998)/4. Round l to the nearest 10000. -170000 Let g = 3110.8 + -2826. Round g to the nearest ten. 280 Let h = 1.768 + -1.766047. What is h rounded to 3 dps? 0.002 Let d = 100.09997287 + -100.1. Round d to seven decimal places. -0.0000271 Let z = -13.91 - -14. Let a = -0.125 + z. Let c = a + 0.03499895. What is c rounded to seven decimal places? -0.0000011 Let z be (-669 - 43)/((-1)/625). What is z rounded to the nearest 100000? 400000 Let g = 5.03 - 5.03000677. What is g rounded to six dps? -0.000007 Suppose -8*u + 29044 + 26716 = 0. Round u to the nearest 100. 7000 Suppose 3*x = -0 - 6. Let c be (-2)/x - (0 + -2). Suppose 0 = -c*n - 4*p + 2*p + 899994, -4*p - 1500012 = -5*n. What is n rounded to the nearest 1000000? 0 Let d = -72.2 - -43.1. Let k = 4.4 + d. What is k rounded to 0 dps? -25 Suppose 8*t + 4*b - 11150004 = 3*t, -3*b - 8919997 = -4*t. Let v be (3/(6/t))/((-18)/(-720)). Round v to the nearest one million. 45000000 Let v = -4108 - -4107.93982. Let x = 0.058 + v. Round x to three decimal places. -0.002 Let z = 944234.90029 - 944226. Let l = z + -8.9. What is l rounded to four dps? 0.0003 Let m = 0.06636 - 0.066363539. What is m rounded to six dps? -0.000004 Let h(m) = m**2 - 2*m - 8. Let u be h(4). Let f = 1 + u. Suppose -3*w - 65996 = 4*r, -4*r + 3 = -f. What is w rounded to the nearest 10000? -20000 Let h = 0.09314 + 15.91326. Let d = -15.95 + -0.05. Let q = h + d. What is q rounded to 3 dps? 0.006 Let f = 8.0419 + -7.98. Round f to two decimal places. 0.06 Let p = -20.4802 + 182.3732. Let q = 190 - 28. Let d = q - p. What is d rounded to 2 dps? 0.11 Let o = -4.547 + -0.053. Let h = -4.59941 - o. What is h rounded to four dps? 0.0006 Let n = -67.90975039 + -0.09073961. Let f = n + 68. What is f rounded to four decimal places? -0.0005 Let g = 1204.0000047 - 1204. What is g rounded to 7 dps? 0.0000047 Let d be ((-27560)/15)/((-9)/(-2025)). What is d rounded to the nearest 100000? -400000 Let u = -336787 - 1952597. Let a = -2289170.0087 - u. Let r = a + -214. Round r to three dps. -0.009 Let k = 193.4 - 216. Let p = k + 29. Round p to the nearest integer. 6 Let n = -79805762.40769324 - -79805764. Let v = n - 24.59230674. Let b = v + 23. Round b to 7 decimal places. 0 Let b = -136.000000894 - -136. Round b to 7 decimal places. -0.0000009 Let a(v) = -v**3 + v**2 - 16. Let o be a(0). Let z = 1486 - 1401. Let t = z + o. What is t rounded to the nearest ten? 70 Suppose -g = -5*j + g + 11, 5*g = 2*j + 4. Let y = -20106129 - -43806130. Let q be y/j + (-1)/3. Round q to the nearest one million. 8000000 Let l = 0.5997 + -0.59981268. Round l to 6 decimal places. -0.000113 Let t = -98 + 169. Let y = t + -71.072. Round y to 1 dp. -0.1 Let x = 1952.8392 - 1954. Let s = -0.0082 + x. Round s to 1 dp. -1.2 Let r(b) be the second derivative of b**4/12 + 3*b**3/2 + 27*b**2/2 + 6*b. Let y be r(-12). What is y rounded to the nearest 10? 60 Let i = 118.4 + -286.7. What is i rounded to zero dps? -
{ "pile_set_name": "DM Mathematics" }
multiple of 17? False Is 14 a factor of 56/(-6)*(15/6 - 7)? True Suppose -a + 2*d = 3*a - 72, 3*d - 92 = -4*a. Is a a multiple of 4? True Suppose 0*u - 15 = -5*u. Is 3 a factor of u? True Suppose 0 = -f + 2*k + 18 + 18, 0 = -4*f + k + 123. Is f a multiple of 11? False Let w = 0 - -27. Let q = w - 13. Does 10 divide q? False Let r = 59 - 35. Does 24 divide r? True Let i be ((-159)/(-6))/(2/4). Let v = -6 + -13. Let k = i + v. Does 17 divide k? True Let l(y) = -5*y**3 - 3*y**2 + 2. Is l(-3) a multiple of 11? True Let t = 13 - 32. Let g = -15 - -42. Let u = t + g. Is 4 a factor of u? True Suppose -524 = -4*w + 3*z + 154, -514 = -3*w + 5*z. Is w a multiple of 21? True Suppose -4*g + 93 = -195. Does 18 divide g? True Is 13 a factor of (-1)/(1/3) - -89 - 3? False Suppose -276 = -3*a + 21. Is a a multiple of 9? True Suppose -5*m - 102 = 3*y + 76, -2*m = -4*y + 66. Let z = 52 + m. Is z a multiple of 6? False Let s be ((-1)/(-1))/(3/6). Suppose -74 = -3*l - s. Is 12 a factor of l? True Suppose 5*l - 2*y - 33 + 6 = 0, -3 = 3*y. Suppose 6*p - 115 = p - r, -5*r + 115 = l*p. Suppose -3*a = -p - 7. Does 5 divide a? True Suppose 23*k = 18*k + 515. Is k a multiple of 10? False Suppose u = 5*h - 8 - 6, -16 = 4*u. Let v be (-955)/(-25) + h/(-10). Suppose 3*t = 4*n - 25 + 81, v = 3*t + 5*n. Is t a multiple of 8? True Let l(d) = d**3 - 2*d**2 - 2*d + 7. Let i(t) = -t**3 + 8*t**2 - 7*t + 5. Let x be i(7). Does 23 divide l(x)? False Let j(u) = u**2 - 4*u + 2. Let k be 20/(-6)*12/(-10). Let a be j(k). Suppose -4*x - a*p + 232 = 0, -2*p + 3*p - 2 = 0. Is 21 a factor of x? False Suppose 0*u = u - 7. Let l(f) = -f**3 + 8*f**2 + 3*f - 7. Is 17 a factor of l(u)? False Let m(d) = -16*d**2 - 7*d + 4. Let u be m(5). Does 28 divide (u + 3)*1/(-4)? False Let m(l) = l**2 - l - 4. Is 19 a factor of m(-6)? True Let h = -1 + 0. Let z = 38 + h. Suppose 4*u - 3*p - z = 0, 5*p - 34 = -3*u + p. Is u a multiple of 4? False Let y be 191/4 + (-4)/(-16). Let t = 14 + y. Suppose -4*q + t = 2. Is 7 a factor of q? False Suppose -4 = -0*w + w. Let b be w/10 - 115/25. Let k(a) = -4*a - 4. Does 7 divide k(b)? False Suppose 0 = 4*j + 4*d - d - 50, d = 2. Let w(f) = -f**3 + 12*f**2 - 10*f + 15. Let i be w(j). Suppose -4*p + i = -62. Is p a multiple of 11? True Suppose -4*x = -2*d - 198, 4*x - 242 - 61 = 3*d. Let h = -8 + 5. Is 21 a factor of d*h*(-6)/(-45)? True Suppose -9*t + 75 + 33 = 0. Does 2 divide t? True Let s be (-24)/(-15)*(-5)/(-2). Suppose -l = -0*l - s. Suppose -m + l + 0 = 0. Is m even? True Suppose -2*n + 3*n - 5*b - 42 = 0, -4*n + 96 = -2*b. Is 5 a factor of n? False Suppose -5*g + 20 = -g. Is 2 a factor of g? False Suppose -n + 6 - 3 = 0. Let j be n/6 - 19/(-2). Let i = j - 7. Is i even? False Suppose 3*g + 6 = 21. Suppose -2*i - g*c = -150, -3*i - 75 = -4*i + 2*c. Does 15 divide i? True Let t = -14 - -82. Is 17 a factor of t? True Let p = 12 - -3. Is p a multiple of 3? True Let u be (0 - 1)*0 + 4. Let g be 5 + -4 + -1 - -2. Suppose -g*c = -3*b - 29, 3*c - u*c = 2*b - 11. Is c a multiple of 13? True Let p(g) = g**3 + 4*g**2 + 4*g + 9. Let w be p(-7). Is (-12)/(4 + w/40) a multiple of 16? True Let n = 15 + -13. Suppose 3*i - n*x = 54, i - 5*x - 22 = -4. Is i a multiple of 18? True Suppose 0 = 4*x + 5*w - 197, -w = 2*x - 5*w - 66. Is 15 a factor of x? False Suppose -5*t + r = -3 - 197, 0 = 4*r. Does 10 divide t? True Let n(p) = -1 + 2*p**2 + 1 - 2 + 3. Is 9 a factor of n(2)? True Suppose 5*n - 3*c - 66 = 74, 20 = n + c. Does 5 divide n? True Suppose 3 = 3*t + 9. Let a be (t + -2)*(0 + -6). Let o = a + -14. Is 5 a factor of o? True Let b = -58 + 155. Let m = -54 + b. Let c = m + -3. Does 20 divide c? True Suppose 3*d + 8 + 26 = 2*q, -4*q - 16 = 0. Let y = 28 + d. Does 13 divide y? False Suppose q = 3*x + 35, 5*x + 49 = -q - 2*q. Let l = x - -11. Suppose l*g - 88 = -2*g. Is g a multiple of 22? True Suppose q + 18 = 3*q. Is q a multiple of 3? True Suppose -6 = 2*k, 2*k - 24 = l - k. Let i = -21 - l. Is i a multiple of 4? True Does 13 divide -4*-1*(17 - 3)? False Let u(p) = 2*p**2 + 8*p - 9. Is 7 a factor of u(-7)? False Suppose 4*i - 3*i + 4 = 0. Does 9 divide (3 - (-6)/i)*12? True Let u(n) be the second derivative of -n**5/20 - 13*n**4/12 - 3*n**3 - 9*n**2/2 - 4*n. Is 21 a factor of u(-12)? True Let f(y) = -14*y**3 + 1. Let v be f(-1). Does 10 divide 456/v + (-4)/10? True Is 6 a factor of 46 - 6*2/6? False Let d(i) = 10*i + 4. Is d(5) a multiple of 27? True Let o(u) = -2*u + 126. Does 18 divide o(0)? True Let l(y) = -y**3 + y + 2. Let o be l(2). Let r(w) = w**3 + 4*w**2 - 7*w - 9. Is r(o) a multiple of 5? False Suppose 5*g = 6*q - 3*q - 16, 4*q + g - 6 = 0. Let r be -2*((-3)/6 - q). Suppose 6*i = r*t + i - 215, 5*i - 205 = -5*t. Does 14 divide t? True Suppose 0 = -2*m + 6, -4*x - m - 23 = 2*m. Let q = x + 6. Let s(b) = -2*b**3 - b**2 - b - 2. Is s(q) a multiple of 6? True Let y be 2/(-4) + 67/2. Suppose y = 2*k + k. Is 4 a factor of k? False Let c(l) = l**2 - 9*l + 4. Suppose 4*y - 37 = 3. Is c(y) a multiple of 3? False Suppose -3*h + 58 = 4*a, 4*h - 3*a = 2*a + 98. Is h a multiple of 9? False Let x be ((-12)/(-8))/(1/12). Suppose -4*o = -22 - x. Is o a multiple of 10? True Let p(q) = q**3 + 8*q**2 + 2*q - 4. Let a(w) = w**2 - 5*w - 2. Let n be a(4). Let d be p(n). Suppose d = 4*g - 0. Is g a multiple of 14? True Let s = -14 - -25. Suppose -v = 5*x - s, x = 5*x + 4. Does 9 divide v? False Let s = 56 + -29. Let w = -18 + s. Is 2 a factor of w? False Suppose -2*a = 5*x - 61, 0 = 3*a - 2*a - 3*x - 25. Is 14 a factor of a? True Let v(y) = 2*y**3 - 2*y + 5*y - y - 2. Let x be v(4). Suppose 140 = 4*j - 2*q, -x = -5*j + j - q. Does 13 divide j? False Let t be (3 - (1 - 0)) + -6. Let s = t - -12. Suppose -s = -5*n + 2. Does 2 divide n? True Let s(w) = 11*w + 1. Let r be s(1). Suppose 0 = 3*f - 0*f - r. Is f a multiple of 2? True Let o(a) = -6*a - 4. Is o(-5) a multiple of 10? False Let n(s) = 14 + 0*s**2 - 8*s + s**2 - 2*s. Let w(k) = -k + 6. Let d be w(-5). Does 12 divide n(d)? False Let k(m) = -m**2 - 12*m + 6. Suppose -n + 2 = -1, d = 2*n - 17. Does 7 divide k(d)? False Is 14 a factor of (-4480)/15*12/(-8)? True Suppose 4*f - 17 = 3*b, 7*f - 2*f - b - 24 = 0. Suppose f*u + 124 = u. Let s = u + 55. Is s a multiple of 10? False Let x(n) = 10*n**2 - 8*n - 8. Let j be x(-6). Suppose 4*k - j = d - 3*d, -4*d = -2*k + 210. Suppose -5*r + 24 = -k. Is r a multiple of 14? False Let o be ((-10)/(-3))/((-10)/(-15)). Suppose -3*h + 86 = -3*d + 11, h - o*d = 17. Is h a multiple of 11? False Let t be -2 + 0*(-1)/(-3). Let c(m) = 2*m**3 - m**2. Let w be c(1). Is t + w - (-1 - 4) a multiple of 2? True Suppose m = -2*m + 297. Does 33 divide m? True Let o(p) = p**3 + p**2 + p + 1. Let b(i) = 7*i**3 + 2*i**2 + 3*i + 4. Let w = 2 + 0. Let c(a) = w*o(a) - b(a). Does 12 divide c(-2)? False Let k be (6/8)/(4/128). Suppose 4 = -u + 2. Let o = k + u. Is o a multiple of 11? True Let g = 91 + -47. Let v = g + -12. Is 16 a factor of v? True Suppose 67 = 3*y - 2. Does 6 divide y? False Let u(l) = 3*l**2 - 1. Is 4 a factor of u(3)? False Let z(c) = -c + 1. Let i be z(-4). Suppose -q - 3 + i = 0, -3*t + 97 = -4*q. Is 9 a factor of t? False Suppose -4*x + 6 = -x. Suppose 0 = 4*t - 5*r - 10 - 50, -3*r - x = t. Let c = t - -13. Is 13 a factor of c? False Let s(t) = 14*t**3 + t. Let z be s(1). Let f be 50/z*6/4. Suppose 6*q + h - 48 = 3*q, 0 = f*h. Is 6 a factor of q? False Suppose 2*m = 5*j + 208 + 100, -3*j - 308 = -2*m. Is m a multiple of 34? False Suppose -q - 309 = 2*q. Let m = -53 - q. Suppose -3*u + n = -m, 3*u - 4*n - 8 = 30. Does 5 divide u? False Is (-1)/((-2)/(-70))*(-6 + 5) a multiple of 7? True Let d(p) = -p**2 + 22*p + 4. Is 3 a factor of d(21)? False Suppose -3*v = -6 - 6. Let g(p) = p**3 - 4*p**2 - 2*p - 4. Let b be g(v). Does 6 divide (-325)/(-30) - 2/b? False Suppose 4*b + 0*c - 4*c = 0, 0 = 4*b - 2*c - 4. Let z(f) = -f**2 + f + 5. Let y be z(0). Suppose -150 = b*l - y*l. Is 18 a factor of l? False Let y = 72 + -49. Suppose -3*w - 96 = -6*w. Let z = w - y. Is 8 a factor of z? False Let x be (2/3)/((-3)/54). Is x/42 - 254/(-7) a multiple of 12? True Let w(m) = -m**3 - 3*m**2 + 4*m - 1. Let s = 3 - 8. Is 10 a factor of w(s)? False Let y = -43 + 202. Does 13 divide 3/(y/39 + -4)? True Suppose -20 = 5*m -
{ "pile_set_name": "DM Mathematics" }
**6 + g**2 wrt g? 480*g**3 Let r(n) be the second derivative of 0 + 1/6*n**3 - 7*n - 5/2*n**2. Differentiate r(z) wrt z. 1 Let n(f) = f - 2. Let c be n(5). Find the third derivative of -126*p**c + 4*p**2 + 126*p**3 - 3*p**5 wrt p. -180*p**2 What is the second derivative of 34*n - 35*n**2 + 5*n**2 + 9*n**2 + 7*n**2 wrt n? -28 Let g = 6 - 1. Suppose 0 = 5*u + 2*a, 2*a = u - g - 7. What is the third derivative of 0*q**2 + 4*q**4 + q**u - 2*q**4 wrt q? 48*q Let i(o) be the first derivative of -3*o**6 - 19*o**3/3 + 10. Find the third derivative of i(x) wrt x. -1080*x**2 Let f(x) = 6*x**2 - 5*x + 2. Let a(t) = -2*t - t - 1 + 4*t - t**2. Let d(w) = 2*a(w) + f(w). What is the second derivative of d(u) wrt u? 8 Let x = -5 + 5. What is the second derivative of -w - w**2 + 6*w + x*w wrt w? -2 What is the second derivative of 0*a - 13*a**3 + 4*a + 3*a wrt a? -78*a Let z = 991/10 - 99. Let f(k) be the second derivative of 0*k**2 + k + 0*k**3 - 1/4*k**4 + z*k**5 + 0. What is the third derivative of f(o) wrt o? 12 Let k(s) be the third derivative of -4*s**7/35 - s**5/5 + 7*s**2. What is the third derivative of k(n) wrt n? -576*n What is the third derivative of -29*o**2 + 12*o**2 + 9*o**2 + 5*o**2 + 55*o**3 wrt o? 330 Let k(f) be the second derivative of 5/12*f**4 + f + 0*f**3 + 0 + 3*f**2. Differentiate k(m) wrt m. 10*m Let n(m) = m**2 + m. Let b be n(1). Find the second derivative of -19*h + 24*h + 0*h**2 - 4*h**3 + 0*h**b wrt h. -24*h Let u(x) be the second derivative of -x**9/1512 - x**5/60 - x**3/3 + x. Let r(c) be the second derivative of u(c). What is the second derivative of r(k) wrt k? -40*k**3 Let n(b) be the first derivative of -b**5/30 - b**4/6 + b**2/2 + 3. Let g(v) be the second derivative of n(v). Find the second derivative of g(k) wrt k. -4 Let l(p) be the third derivative of 7*p**6/120 - p**3 - p**2. What is the derivative of l(d) wrt d? 21*d**2 Suppose 0 = -5*x - 4 + 9. Let r be (x/1 - 0) + 1. Find the second derivative of -k**r - 2*k**2 - k + k**2 wrt k. -4 Let u(c) be the third derivative of 0*c - 1/105*c**7 + 0*c**3 - 1/20*c**5 - 3*c**2 + 0*c**4 + 0*c**6 + 0. What is the third derivative of u(o) wrt o? -48*o Let i(l) be the third derivative of 2*l**7/105 - 11*l**6/120 - 23*l**5/60 - 58*l**2. Find the third derivative of i(p) wrt p. 96*p - 66 Let g = 3 - -2. Let v be (2 - 3)*(-5)/1. Find the second derivative of 3*c**5 + c**g + 2*c - v*c wrt c. 80*c**3 Differentiate 32 - 49 + 16*i**4 + 29 with respect to i. 64*i**3 Let d(z) = 3*z - 2*z + 7 + 4*z**2 - 5. Let f(i) = -8*i**2 - 2*i - 5. Let o(g) = 5*d(g) + 2*f(g). What is the second derivative of o(p) wrt p? 8 Let a(i) be the second derivative of 23*i**3/6 - 14*i**2 + 2*i. What is the first derivative of a(n) wrt n? 23 Let k(z) be the second derivative of 5*z**3/6 - 15*z**2/2 - 30*z. Differentiate k(m) with respect to m. 5 Let r = -5 + 9. Find the second derivative of 0*b - 2*b + 0*b**4 - 2*b**r wrt b. -24*b**2 Find the second derivative of -4*p - 13*p + 19 - 19 - 12*p**2 wrt p. -24 Let q(o) be the third derivative of o**8/1120 - o**5/24 + o**4/4 + 10*o**2. Let v(y) be the second derivative of q(y). What is the derivative of v(i) wrt i? 18*i**2 Let q(z) = 12*z**3 - 5*z - 19. Let k(c) = 49*c**3 - 21*c - 77. Let d(o) = 5*k(o) - 21*q(o). What is the derivative of d(f) wrt f? -21*f**2 Let s = -5 + 9. What is the second derivative of -3*y**5 + 0*y - y + s*y**5 wrt y? 20*y**3 Let x(f) = 26*f**2 + 4*f + 1 + 5*f - 1. Let c(t) = 9*t**2 + 3*t. Let a(h) = 17*c(h) - 6*x(h). What is the second derivative of a(m) wrt m? -6 Let s(g) = 0*g + 0*g - g**2 - 8*g - g + 12. Let m be s(-10). Find the second derivative of -4*u + m*u + 2*u**4 + 0*u**4 wrt u. 24*u**2 Let b(c) be the first derivative of c**9/336 + 11*c**6/360 - c**3 + 4. Let p(t) be the third derivative of b(t). Find the third derivative of p(v) wrt v. 540*v**2 Let i = -305/3 + 102. Let z(g) be the second derivative of -2*g - i*g**3 - 1/2*g**2 + 0. What is the derivative of z(k) wrt k? -2 Suppose 0*y = 2*y - 8. Let j be -2 + y - (-2 + 2). What is the second derivative of -q**2 - q - q + j*q**2 wrt q? 2 Let q(m) be the third derivative of -17*m**4/24 - 4*m**3/3 - 23*m**2. Find the first derivative of q(p) wrt p. -17 Let x(u) be the first derivative of u**3 - 3*u**2 + 7. Find the second derivative of x(h) wrt h. 6 Let v(c) be the third derivative of -c**7/35 - c**3/6 + 7*c**2. Differentiate v(m) with respect to m. -24*m**3 Suppose -3*w + 0*w = 2*t + 18, -3*t - 10 = -4*w. Let v(c) = c. Let h(y) = -y + 7. Let g(a) = t*v(a) - h(a). Find the first derivative of g(o) wrt o. -5 Suppose 3*g - 7 - 14 = 0. Find the second derivative of 3*i - 2*i**5 - g*i + 2*i**5 - 4*i**5 wrt i. -80*i**3 Let m(o) = 11*o - 1. Let a be m(1). Let h = a + -7. Find the third derivative of 5*u**2 - h*u**5 + 5*u**5 - 3*u**2 wrt u. 120*u**2 Let k(i) = -18*i**4 + 5*i**3 + 5*i**2 - 5*i - 17. Let o(q) = -9*q**4 + 3*q**3 + 3*q**2 - 3*q - 8. Let t(j) = 3*k(j) - 5*o(j). Differentiate t(g) wrt g. -36*g**3 Differentiate 4*p - 8 + 7*p + 0*p with respect to p. 11 What is the second derivative of 35*q + q**3 + 27*q**5 + 11*q**5 - q**3 wrt q? 760*q**3 Let k be 120/6*3/(-4). Let f be k/(-10)*1*2. Differentiate -2*v + v + 2*v**f + v + 1 wrt v. 6*v**2 Let k be ((-3)/3 + 1)/(-2). Suppose k = 3*l + l - 12. Find the third derivative of 0*z**2 + z**2 + z**3 + 2*z**3 + 0*z**l wrt z. 18 Let d = 8 + -7. Let r(j) = -j**4 + j**2 - j. Let f(b) = -13*b**4 - 2*b**2 - 5*b. Let p(l) = d*f(l) - 5*r(l). What is the third derivative of p(v) wrt v? -192*v Let j(t) = -4*t**2 - 10*t. Let p(k) = k**2 - k. Let n(d) = j(d) - 4*p(d). What is the second derivative of n(c) wrt c? -16 Let z = 11 + -9. Find the third derivative of -5*a**z - 2*a**5 + 3*a**2 - 2*a**5 + 0*a**5 wrt a. -240*a**2 What is the third derivative of 19*l**2 + 14*l - 14*l + 3*l**3 wrt l? 18 Let b(d) be the second derivative of d**6/6 + 7*d**2/2 + 2*d. What is the derivative of b(c) wrt c? 20*c**3 Let b(k) be the second derivative of 5*k**8/56 - 5*k**4/4 + 7*k. Find the third derivative of b(p) wrt p. 600*p**3 Let c(f) be the third derivative of 6*f**7/35 - 37*f**5/60 - 26*f**2. What is the third derivative of c(p) wrt p? 864*p Let i(k) be the first derivative of -k**7/70 - k**5/15 + k**2 - 3. Let f(t) be the second derivative of i(t). Find the third derivative of f(r) wrt r. -72*r Let m(s) = s**2 - s + 3. Let p be m(-2). What is the third derivative of -p*k**5 - 2*k**2 + 10*k**5 + k**2 wrt k? 60*k**2 Let j(b) be the first derivative of 20*b**7/7 - 9*b**3 - 17. Find the third derivative of j(y) wrt y. 2400*y**3 Differentiate 10*b**3 + 16 - b**2 + b**2 with respect to b. 30*b**2 Let p(z) = -4*z - 2. Let f(b) = -5*b - 1. Let c(t) = 5*f(t) - 6*p(t). Let s be c(5). Find the third derivative of -2*a**2 + 4*a**5 + 0*a**5 - s*a**5 wrt a. 120*a**2 What is the third derivative of 8*c**2 - 242*c**3 + 3*c**2 + 240*c**3 wrt c? -12 Let c(b) be the first derivative of 5*b**4/2 - 9*b - 6. Differentiate c(w) with respect to w. 30*w**2 Let s(t) be the second derivative of -t**9/1512 + t**6/72 - t**3/6 - 5*t. Let p(u) be the second derivative of s(u). Find the third derivative of p(i) wrt i. -120*i**2 Find the second derivative of 15*h - 128*h**4 + 128*h**4 + 15*h**5 + 6*h wrt h. 300*h**3 Let w(x) be the second derivative of 9*x**5/20 + 17*x**3/6 + 11*x. What is the second derivative of w(u) wrt u? 54*u Let w(l) be the third derivative of l**6/15 + l**3/2 - l**2. Differentiate w(g) wrt g. 24*g**2 Suppose 2 = 5*t - 23. Let p(h) = h**4 - 5*h + 1. Suppose g = -g - 12. Let f(b) = b**4 - 6*b + 1. Let r(n) = g*p(n) + t*f(n). Differentiate r(v) wrt v. -4*v**3 Let p(k) be the first derivative of k**8/112 + k**4/24 + 5*k**2/2 - 1. Let a(b) be the second derivative of p(b). What is the second derivative of a(x) wrt x? 60*x**3 Suppose 3*p = -0*p + 15. Let c be p*1/(5/2). Differentiate -4*i**3 + 4*i**3 + c - 3*i**4 with respect to i. -12*i**3 Suppose -5*p + 74 = -3*h - 0*h, h = -3. Differentiate p + 3*v**4 + 18 - 26 wrt v. 12*v**3 Let x(r) be the second derivative of -11*r**4/12 - 2*r**3 + 6*r. What is the second derivative of x(d) wrt d? -22 Let a(z) be the first derivative of z**4/4 + 20*z**3 + 32*z**2 + 35. What is the second derivative of a(p) wrt p? 6*p + 120 Let o(w) = w**3 - w*
{ "pile_set_name": "DM Mathematics" }
b + 3*d**3 + d**2 What is the second derivative of 498*u**2*y**2 + 31*u*y - 8*y**2 wrt u? 996*y**2 Find the first derivative of -i**4 + 611 wrt i. -4*i**3 Differentiate -817*j**2 + 6*j + 4947. -1634*j + 6 Find the second derivative of -3332*l*n**2*o**2 + 84*l*n**2*o - 5*l*n**2 + 4*l*o - n**2*o**2 wrt o. -6664*l*n**2 - 2*n**2 Find the second derivative of 10892*j**3 + 3891*j wrt j. 65352*j What is the third derivative of -202*d**3*f + 3*d**3 - 1972*d**2*f wrt d? -1212*f + 18 What is the derivative of -9493*i**4*m + 3*i**3*m + m - 5052 wrt i? -37972*i**3*m + 9*i**2*m Find the third derivative of -92*g**3*p**4 - 2*g**3*p**2 + 3*g*p**2 + 11*g*p - 2*p**4 wrt p. -2208*g**3*p - 48*p What is the second derivative of 2695*r**3 - 14380*r wrt r? 16170*r What is the third derivative of 183*s**5 + 2*s**2 + 333 wrt s? 10980*s**2 Find the third derivative of -70*c**2*h**3 - 17*c**2*h**2 - c**2 + 15*c*h**6 + 34*h**2 wrt h. -420*c**2 + 1800*c*h**3 What is the first derivative of -5*q**4 + 63*q**2 - 369? -20*q**3 + 126*q Find the third derivative of -16*i**6 - 3*i**5 + 159*i**2 wrt i. -1920*i**3 - 180*i**2 What is the third derivative of 2*l*u**4*z - 2*l*u**2*z + 6*l*u - 2*l*z - 104*u**4*z - 2*u**2*z wrt u? 48*l*u*z - 2496*u*z Find the second derivative of 123*m**5 - 3*m**3 - 261*m - 2. 2460*m**3 - 18*m Find the third derivative of -6*r**6 - 5*r**3 + 154*r**2. -720*r**3 - 30 What is the first derivative of -6*h*q**3 - 650*h + 225*q**4 - 1 wrt q? -18*h*q**2 + 900*q**3 Find the second derivative of -139*i**2*v**2 + 2*i**2*v - 153*i**2 + 5*i*v**3 - 3*i + 2*v**2 wrt v. -278*i**2 + 30*i*v + 4 What is the third derivative of 3*a**2*t**4 + 591*a**2*t**2 + 42*t**3 wrt t? 72*a**2*t + 252 What is the second derivative of -391*x**2 + x - 12? -782 Find the third derivative of 2*c*f**4 + 1033*c*f**3 + 7*c - 372*f**2 wrt f. 48*c*f + 6198*c Differentiate -2*p*z + 5*p + z**2 + 20*z - 36 wrt z. -2*p + 2*z + 20 What is the second derivative of -2*h**5 - 254*h**3 + 247*h + 1? -40*h**3 - 1524*h What is the second derivative of 2699*k**4 - 1254*k + 2 wrt k? 32388*k**2 Find the first derivative of 5127*b**4 + 3187. 20508*b**3 Find the second derivative of -58*h**3*o**2*r - h**3*o*r + 3*h**2*o*r - 22*h*o - 5*l*o**2 - 2*l wrt o. -116*h**3*r - 10*l Differentiate -2*s**2 + 1499*s + 1924 wrt s. -4*s + 1499 Find the second derivative of -6*m**3*u**2 - 7*m**2*u + m*u**2 - m + u wrt m. -36*m*u**2 - 14*u What is the first derivative of 13*f*m + 2280*f + 43*m wrt m? 13*f + 43 Find the third derivative of 550*u**5 + 2*u**2 + 30 wrt u. 33000*u**2 Differentiate -22*g**4 - 64*g**2 - 3990 with respect to g. -88*g**3 - 128*g Find the first derivative of k**3*q**3 - 1565*k**3 - 3*q**3 - 133 wrt k. 3*k**2*q**3 - 4695*k**2 What is the third derivative of 3*f**5*o - 27*f**3*o**2 + f**2*o**2 + 37*f**2 wrt f? 180*f**2*o - 162*o**2 What is the derivative of -54*f**4*i*m + f*i*m - f*i + i*m - 179*i wrt f? -216*f**3*i*m + i*m - i What is the derivative of i*y**4 + 259*i*y**2 - 713*i wrt y? 4*i*y**3 + 518*i*y What is the third derivative of -2*n**6 + 460*n**3 + 302*n**2 wrt n? -240*n**3 + 2760 What is the second derivative of -7912*p**3 - 7183*p? -47472*p What is the second derivative of 2372*t**5 - 212*t - 2 wrt t? 47440*t**3 What is the second derivative of -150*m**4 + 2*m - 27? -1800*m**2 What is the derivative of -235*r**4 - 335 wrt r? -940*r**3 What is the second derivative of -234*i**3*n**2 - i**3*n - 11*i**2*n - 15*i*n - n**2 wrt n? -468*i**3 - 2 Find the third derivative of r**4*y + 153*r**3*y - r**2*y + 283*r**2 - 2*r*y wrt r. 24*r*y + 918*y What is the derivative of -321*a**3 + 4*a**2 - a + 11873 wrt a? -963*a**2 + 8*a - 1 Find the second derivative of -4*f**3*l**3 - 2*f**3 + 9*f**2*l**5 + 70*f**2*l - l**2 wrt l. -24*f**3*l + 180*f**2*l**3 - 2 Find the first derivative of a**3*h*y**2 - 3*a**3*h*y + 46*a**3*y**3*z + a**3*y**2*z - 2*a**2*h*y**3 - h*y*z wrt z. 46*a**3*y**3 + a**3*y**2 - h*y What is the third derivative of -34*a**4*z + 4*a**4 - 4*a**2 + 214*a*z wrt a? -816*a*z + 96*a What is the third derivative of 5*v**6 + 15*v**3 + 70*v**2 wrt v? 600*v**3 + 90 Find the second derivative of -18*l**5*q - 2*l**3*q - 2*l*q + l + 3 wrt l. -360*l**3*q - 12*l*q What is the third derivative of -l*o*s**3 - l*o*s**2 - 26*l*o + 3*o*s**2 - 334*s**5 - 3 wrt s? -6*l*o - 20040*s**2 Find the second derivative of -231*b**2 - b - 257. -462 Find the third derivative of -109*a**2*i**3 - 7*a**2*i**2 + 2*a**2 - a*i**5 + 75*i**2 wrt i. -654*a**2 - 60*a*i**2 Find the third derivative of -2*a**4*j**3 - 287*a**4*j*y + 2*a**4 - 2*a**2*j*y + 96*a*j**3*y - 3*j**3 wrt a. -48*a*j**3 - 6888*a*j*y + 48*a Find the third derivative of 957*k**3 + 212*k**2 + 2. 5742 What is the third derivative of -3*d**4 - 172*d**3 - 1203*d**2? -72*d - 1032 Find the third derivative of -2395*z**3 - 499*z**2 + 1 wrt z. -14370 Find the second derivative of 2*z**5 - 65*z**4 + 30*z. 40*z**3 - 780*z**2 Find the first derivative of -10*h**2 + 528*h - 9151. -20*h + 528 Find the first derivative of -174*y**3 + 3*y**2 + 962 wrt y. -522*y**2 + 6*y Find the second derivative of -332*m**4 + 2*m - 403 wrt m. -3984*m**2 Differentiate -27081*c**2 - 6011 with respect to c. -54162*c Find the third derivative of -274*t**4 - 15*t**3 + t**2 + 6*t + 169. -6576*t - 90 Find the second derivative of 155*y**2 + y + 47 wrt y. 310 What is the second derivative of 4*k*o**3*v + 31*k*o**2*v + 2*k*o*v + o**3 - 1956*o*v wrt o? 24*k*o*v + 62*k*v + 6*o What is the third derivative of -150*t**5 - t**2 + 427 wrt t? -9000*t**2 What is the third derivative of -8*a*h**2*j**2*r**2 - 26*a*h**2*j*r**3 + 4*a*j**3*r**3 + 8*h**2*j + h*j**3*r**2 + h*j*r - j**2*r**2 wrt r? -156*a*h**2*j + 24*a*j**3 What is the second derivative of 16939*n**5 - 572*n? 338780*n**3 Find the third derivative of -1825*i**3 + 1178*i**2 wrt i. -10950 What is the third derivative of m*t*x**6 - 1408*m*t*x**4 + 2*m*x - 2*t*x**2 + 4*t*x + 2*x**2 wrt x? 120*m*t*x**3 - 33792*m*t*x What is the first derivative of 115*d**4*y + 7*d**3*y - 2*d*y - 212*y - 2 wrt d? 460*d**3*y + 21*d**2*y - 2*y What is the second derivative of -516*h**4 + 21*h**3 - 27*h - 105? -6192*h**2 + 126*h Find the first derivative of 1485*v**2 + 3*v + 10458 wrt v. 2970*v + 3 What is the second derivative of 13886*p**4 + 4343*p wrt p? 166632*p**2 Find the third derivative of -2*s**3*w**3 - 162*s**3*w*x**3 + 2*s**2*w*x**3 - 2*w**3 - 14*w**2*x**3 - 2*w*x**3 wrt s. -12*w**3 - 972*w*x**3 What is the derivative of -161*l**2 - 186? -322*l Find the second derivative of -51*g**3*s**2*v - g**3*s*v + 274*g**3*v + 6*g**2*s + 2*g*s**2*v + 6*g*s**2 + 2 wrt s. -102*g**3*v + 4*g*v + 12*g Differentiate -2*r**2*u*z - 4*r**2*z - 2*r**2 + 3*r*u*z - 132*u - 2*z wrt r. -4*r*u*z - 8*r*z - 4*r + 3*u*z What is the second derivative of 219*i**2 + 909*i + 2 wrt i? 438 Find the second derivative of q**5 + 782*q**4 + q**2 + 17555*q. 20*q**3 + 9384*q**2 + 2 What is the first derivative of 4072*g - 891? 4072 Find the second derivative of 1742*n**3 + 2*n**2 + 1392*n wrt n. 10452*n + 4 What is the third derivative of 195*v**5 + 14*v**2 + 6*v? 11700*v**2 Differentiate -82*q*v - 8*v - 10 wrt q. -82*v Find the third derivative of -2*c**5*s - 10*c**3*s**3 + 55*c**3*x + 3*c**2*s**3 - 329*c*s**3*x - c*s**3 - 3*x wrt c. -120*c**2*s - 60*s**3 + 330*x Find the third derivative of 1262*g**3*q**3*y**3 + g**2*q**2*y**3 + 11*g*q**3*y**3 + 6*y**3 wrt g. 7572*q**3*y**3 What is the second derivative of -28*m**2*p**3*y**2 + m**2 - 11*m*p**3*y**2 + 10*m*p + p**3 + 3*y wrt y? -56*m**2*p**3 - 22*m*p**3 What is the second derivative of 2*d*n**3 + d*n**2*p + d*n*p - d*n - 14*n**3*p**2 - n**2 + p**2 - 4*p wrt n? 12*d*n + 2*d*p - 84*n*p**2 - 2 Find the second derivative of -211*w**5 - w + 126. -4220*w**3 What is the first derivative of -g**2*n - 8*g**2 - 4*g*n**4 - 10*n**4 - 17 wrt n? -g**2 - 16*g*n**3 - 40*n**3 What is the third derivative of 5*k**6 - 14*k**3 - 850*k**2 wrt k? 600*k**3 - 84 What is the third derivative of -218*f**4*l**2 - 4*f**4*l*x**2 - 186*f**2*l*x + l**2*x**2 + 2*l**2*x wrt f? -5232*f*l**2 - 96*f*l*x**2 What is the third derivative of -3519*a**4 - 20*a**2 - 44*a wrt a? -84456*a What is the first derivative of -2*n**3*u + n**3 + 18*n**2*u - 33*u wrt n? -6*n**2*u + 3*n**2 + 36*n*u Differentia
{ "pile_set_name": "DM Mathematics" }
lse Let r be (44/(-8))/11*-72424. Suppose 2*n - r = -9*n. Let u = n - 2025. Is u composite? True Suppose 0 = -2*t + 3*o - 1, 0 = 5*t - 3*o - 20. Let g(b) = 33*b**2 + 8*b + 58. Is g(t) a composite number? True Suppose 0 = 7*i - 25460 - 73541. Is i a prime number? True Let a(m) = m - 5. Let y be a(8). Let h be 255 - 3/(-9)*-24. Suppose -200 - h = -y*c. Is c prime? True Let g(b) = b**2 - 12*b + 13. Let c be g(11). Let k(z) = -12*z**c - 49*z**3 - 51*z**3 - 14 + 99*z**3 + 36*z. Is k(-15) composite? True Let b = -101 + 102. Is (-19254)/b*(-2)/4 a prime number? False Suppose -5*l + 391896 = -2*q, -2*q + 19237 - 175987 = -2*l. Is l prime? False Let y(q) = 12*q + 1. Let s be y(6). Is ((-3)/(24/142))/(s/(-28324)) a composite number? True Let m be (661 - 1)*(378/(-28) - -11). Is -7 - (-1 + m + -5) a composite number? True Is ((-96006)/(-4))/((96/(-512))/((-1)/4)) a prime number? False Let p = 3639 + 3072. Let h = p + -4294. Is h prime? True Let f = 7507 + -2437. Let c = 7187 - f. Is c prime? False Let v(g) = 18867*g + 412. Is v(5) prime? True Suppose 5*r - 5*p = -3*p + 7, -3*r - 1 = 4*p. Let w be r - -4*2/(-8). Suppose w = -5*k - 3*k + 3032. Is k prime? True Is (-77)/(1771/(-414)) - -2458729 a composite number? False Let u = 2148 - 435. Let z = -1214 + u. Is z prime? True Let a(g) be the second derivative of 173*g**4/4 + g**3/3 + g**2/2 + 59*g - 1. Is a(2) prime? True Let q(j) = 300*j**2 + 148*j + 45. Is q(-52) prime? True Let l(j) = 3223*j**2 + 113*j - 63. Is l(-13) composite? True Let m(c) = c - 1. Let i(n) = 149*n + 2. Let b(g) = 2*i(g) + 6*m(g). Let o be (4/((-4)/2))/(-2). Is b(o) a composite number? True Suppose -9*k + 15 = -4*k. Suppose 4*p - 5*l - 4649 = 0, 1312 = 2*p - k*l - 1011. Suppose -2*r - 2951 = -5*f, -2*f + 4*r = -4*f + p. Is f a composite number? True Let j be 4*2/4*(-369)/(-82). Let x(q) = -2*q + 267. Is x(j) a composite number? True Is 83092 - ((-4)/8*-3)/((-4)/(-8)) a prime number? True Let r be ((-1126)/(-3) + -3)/(5/90). Suppose r = 11*t - 53237. Is t a prime number? True Let x(a) = -4399*a + 1379. Is x(-6) a prime number? True Let w = -11 - -35. Let m = 28 - w. Is m/(-30) - (-43954)/30 a composite number? True Let c(q) = -5*q**3 - 8*q**2 - 2*q - 19. Let u(n) = -2*n**2 - n + 11. Let p be u(3). Is c(p) a prime number? True Let j = -21 - -52. Suppose 54190 = j*u - 21*u. Is u composite? False Suppose -34*l + 22*l + 1509324 = 0. Is l a composite number? False Let r be 2 - (-48)/1 - (1 - -3). Let v = -42 + r. Suppose -5*s - 3*a + 5043 = -4*a, -s - v*a + 1017 = 0. Is s a prime number? True Let o(z) be the second derivative of 35*z + 0 - 45/2*z**2 + 26/3*z**3 - 1/12*z**4. Is o(26) a composite number? False Let b(g) = -45077*g + 68. Is b(-3) a composite number? True Is 20598 - ((-7 - -12)/(-30) - (-31)/6) a composite number? False Let f(o) = -o + 8. Let b be f(-3). Suppose -b*t + 32615 = -0*t. Is t prime? False Suppose -15*v = -12*v - 6. Let h be 35 + (-2 + 4 - v). Suppose -h*z - 295 = -40*z. Is z a composite number? False Suppose 12 - 24 = -6*g. Suppose -9465 = -5*n - 4*f, 3*f = g*n - 4*n + 3793. Is n a prime number? True Let l = 40 + -70. Let x = l + -169. Let h = x - -408. Is h a composite number? True Let k = 355 - 353. Suppose 0*m = k*q - 2*m - 2172, -4*m - 5431 = -5*q. Is q a composite number? False Suppose -20*k = -24*k + 40. Suppose k*r - 8*r - 12 = 0. Is 183/27 + r/27 a composite number? False Let a = -24 + 27. Let b = 5 - a. Suppose 5*f + b*f = 8813. Is f composite? False Suppose 0 = -6*c - 5*c + 209. Let t(i) = -2*i + 39. Let x be t(c). Is (322/(4/2))/(x - 0) prime? False Let g(h) = 12*h - 25. Let t(n) = -14*n + 24. Let z(k) = -3*g(k) - 2*t(k). Is z(-5) a prime number? True Let n(d) = 840*d + 253. Let u(k) = 420*k + 123. Let p(b) = -4*n(b) + 9*u(b). Is p(15) a composite number? True Is (43324/(-3))/((2496/72)/(-26)) a composite number? False Suppose 2*p = z - 3981, z - 4123 + 140 = p. Is z prime? False Suppose -9 = -2*n - 2*n + 3*y, -5*n + y = -14. Let g be n + -7 + (-28)/(-4). Suppose g*w - 2*l = 23705, -4*l + 10 - 14 = 0. Is w prime? True Suppose 0 = -5*c + 28 - 18. Suppose 0 = -5*n + q + 4014, -7*q + 808 = n - c*q. Is n*(-2 + 4 - 1) a composite number? True Let j(b) = b**3 + 10*b**2 + 21*b + 4. Suppose -4*i + 0 - 3 = n, -4*n = 2*i - 2. Let y be ((-6)/9 + 0)/(n/9). Is j(y) composite? True Suppose 4*p - 5*d + 85 = 0, p - 3*d = -d - 25. Let i be 10/p + (-10)/(-6). Is (0 - 1) + i + 3 + 704 a prime number? False Let s = 215 + -151. Let k(u) = 73*u + 1. Let m be k(2). Suppose x - s - m = 0. Is x a prime number? True Let a = 14 - 10. Suppose -a*b = -3*b + 6. Is (-6)/4*((-27536)/b)/(-4) composite? False Let z(q) = 1742*q - 101. Suppose -3*g + 2*g = d - 12, -3*g = 5*d - 52. Is z(d) a prime number? False Let w(m) = 23*m**2 - 22*m - 80. Let p be w(-11). Suppose -r + p = -5064. Is r a prime number? True Suppose 0 = 42*y - 37*y - 40. Let t be 4/y - (-2 + 21/(-2)). Suppose g - 58 = t. Is g a prime number? True Let t = 107 + -104. Suppose s - t*s = -3*o - 6194, -3*s - 5*o = -9291. Is s a composite number? True Suppose 542526 - 15571439 = -23*w. Is w prime? True Suppose -4*h - 208 = -2*w, 4*w - 170 = 3*h - w. Let z = -75 + h. Let c = -91 - z. Is c prime? False Let w(b) = 2*b**3 - 7*b**2 - 4*b + 40. Let g(s) = 2*s**3 - 4*s**2 - 3*s + 27. Let c(r) = 7*g(r) - 5*w(r). Suppose 2*p + 30 = 7*p. Is c(p) a composite number? True Let m be (1/((-2)/(-1053)))/(12/(-24)). Let k = 3720 + m. Let v = k + -718. Is v prime? True Let l = 122 + -122. Let u(q) = -q**3 + 2*q**2 - 2*q + 7853. Is u(l) prime? True Suppose 48*l + 1792812 = 132*l. Is l prime? False Suppose 16*j = 43*j - 2619351. Is j a composite number? True Let t = -66 - -52. Let d(s) = s**3 + 21*s**2 + 16*s - 25. Is d(t) a composite number? False Let x = -26 + 31. Suppose -4*q - 2*j + 2128 = 0, x*q + j - 534 = 4*q. Suppose 13*t + q = 15*t. Is t a prime number? False Suppose 432 = 10*f + 23342. Let i = f - -5110. Is i a prime number? True Let h(y) = 230*y**3 + 20*y**2 - 94*y + 107. Is h(5) a prime number? False Let n = -3636 + 3835. Suppose -3 = 3*t - 18. Suppose -k + 219 = -0*k + 5*a, t*a = k - n. Is k composite? True Suppose -2*h + 5*b - 12323 = 0, b + 3*b = 5*h + 30765. Let c = 9706 + h. Is c composite? False Is 38/(4560/23993240) - 2/3 prime? False Is ((-909418)/((-18)/(-9)))/(-1) a prime number? True Suppose -2*n + 4*g = 250, 5*n + 272 = g - 344. Let c = -113 - n. Is (-10 - -5)*((-804)/c + 1) prime? True Let j = 184 + -113. Suppose -j*t = -86*t + 217335. Is t a composite number? False Let m be 2/(-5) + 441/15. Let r(l) be the first derivative of 5*l**2/2 + 42*l + 88. Is r(m) a composite number? True Let c = -9785 + 22118. Suppose 0 = 145*a - 148*a + c. Is a composite? False Let p = 1226122 + -688131. Is p a composite number? False Suppose -2*g - 129*w + 124*w = -344772, 5*w + 861825 = 5*g. Is g a prime number? False Let y = 43 - 40. Let w be y/(-1) - 0 - -8. Suppose 0*c - 3*k - 2972 = -c, -w*k - 2962 = -c. Is c a composite number? True Suppose 22*d + 27*d = 21*d + 1791076. Is d prime? False Let m = 316 - -630. Suppose 0 = -12*w - 238 + m. Is w a composite number? False Let p be (-2)/7 + (-204)/21. Let q(l) = 2*l**3 - 7*l**2 + 22*l + 5. Let w(t) = -2*t**3 - 2*t**2 - 5*t + 1. Let y(g) = q(g) + 2*w(g). Is y(p) prime? True Let t = -20 - -20. Suppose -112232 = -4*r - o, t = -8*r + 11*r + 3*o - 84174. Is r a composite number? True Let k(o) = 2*o**3 - 3*o**2 + 3*o + 1. Let r be k(5). Let i = r + -87. Is 2*4/(-8) + i*1 prime? True Suppose -53*p + 87*p + 642645 = 43*p. Is p composite? True Suppose -2*q - p = -778712, -2*q + 1106726 = -5*p + 328002. Is q a prime number? True Let a(n) = 1153*n**2 - 117*n - 803. Is a(-7) a composite number? True Let d = -33 + 36. Suppose 0 = 3*j - d*w - 2168 - 2164, -4*w + 1459 = j. Let y = j - 882. Is y a prime number? False Suppose u - 130914 = -5*c, 3*u - 25*c - 392751 = -31*c. Is u composite? True Is 92806 - -3*(88/66 + 3 + -2) prime? False Let r(b) = 27*b - 1. Let l(u) be the third derivative of -55*u**4/24 + u**3/3 - 28*u**2. Let w(f) = -3*l(f) - 5*r(f). Is w(16) a prime number? True Suppose -105 = 5*x + 5*h, 0 = 4*x + 3*h - 23 + 102. Let m(s) = s**2 + 16*s + 11. Let g be m(x). Suppose 7*o + 1864 = g*o. Is o prime? False Is (9418/(-408))/(3/(-9708)*1)*3 a prime nu
{ "pile_set_name": "DM Mathematics" }
**3 - 8*i**2 - 6. Let w(g) = g**2 + 1. Let z(p) = h*w(p) + n(p). Find the third derivative of z(b) wrt b. 6 Let j(l) be the third derivative of -l**4/4 + 11*l**3/6 + l**2. Let o(y) = 3*y - 6. Let i(r) = 3*j(r) + 5*o(r). Find the first derivative of i(m) wrt m. -3 Suppose -s - 4 = -4*u + 4, -3*s + u + 9 = 0. What is the second derivative of -2*l**3 + 7*l - s*l - 2 + 2 wrt l? -12*l Suppose -3*p - p + 12 = 0. Let k(l) be the first derivative of -3*l + l**3 - 2*l + l + 5*l - p. Differentiate k(o) with respect to o. 6*o Let t(c) = -c**4 - 3*c**3 + 3*c + 2. Let g(f) = -f**3 + f. Let v(o) = 3*g(o) - t(o). What is the derivative of v(m) wrt m? 4*m**3 Let n(a) be the third derivative of -a**7/840 - a**5/30 + a**4/4 - 4*a**2. Let y(q) be the second derivative of n(q). Differentiate y(k) wrt k. -6*k Suppose 0 = -4*i - 0*i + 8. Find the third derivative of 4*w**3 + 2*w**2 + 4*w**i - w**2 - 2*w**3 wrt w. 12 Let q be 3*(-12)/(-9) + (-9 - -7). Let x(i) be the second derivative of 1/6*i**3 - 2*i + 1/12*i**4 + 0*i**q + 0. What is the second derivative of x(f) wrt f? 2 Let w be 2 + 6/(-1 - 2). Suppose -2*l + 2 + 4 = w. What is the first derivative of -2*a**4 - 1 - 5*a**3 + 5*a**l wrt a? -8*a**3 Let i = 3 - -1. Find the third derivative of 4*q**2 - q**2 + 2*q**i - q**2 wrt q. 48*q Let r(k) = -k**2. Let f(b) = -b**2 - 10. Let v(o) = f(o) - 2*r(o). What is the derivative of v(x) wrt x? 2*x Let f(s) be the second derivative of 11*s**5/10 + 2*s**2 - 24*s. Find the first derivative of f(y) wrt y. 66*y**2 Let p = -3 + 5. What is the derivative of -u**4 - p - 2*u**3 + 2*u**3 wrt u? -4*u**3 Let v(q) be the second derivative of -q**5 - q**2 - 13*q. What is the first derivative of v(a) wrt a? -60*a**2 Let t = -5 + 8. What is the derivative of 1 - t + u + 1 - 2*u wrt u? -1 Let a(t) = t + 4. Let z be a(0). Find the second derivative of 2*m - m**2 + z - 4 wrt m. -2 Let k be 2/(0/1 - 2). Let i(v) = 2*v**2 - v. Let b be i(k). What is the second derivative of 0*d + 0*d**3 + d**b - 2*d wrt d? 6*d Let h(d) be the third derivative of d**6/90 + d**5/60 - d**3/6 + 4*d**2. Let m(c) be the first derivative of h(c). Find the second derivative of m(y) wrt y. 8 Let l(t) = -7*t**2 + 2*t - 4. Let b(m) = -22*m**2 + 7*m - 13. Let z(u) = -2*b(u) + 7*l(u). What is the derivative of z(y) wrt y? -10*y Differentiate 2 + 16 + 7*l**2 - l**2 wrt l. 12*l Find the third derivative of 4*v**2 + 6*v**5 - 7*v**5 - 2*v + 2*v wrt v. -60*v**2 What is the third derivative of -5*a**2 - 7*a**3 + 2 + 2*a**4 - a**2 + 5*a**2 - 3*a**2 wrt a? 48*a - 42 Let k(g) = -8*g**2 + 11. Let l(s) = s**2 - 1. Let q(j) = -k(j) - 6*l(j). Find the first derivative of q(i) wrt i. 4*i Let b(r) = -37*r**2 - 5*r - 14. Let x(k) = -19*k**2 - 2*k - 7. Let y(v) = -2*b(v) + 5*x(v). Differentiate y(h) with respect to h. -42*h Find the second derivative of -3*v**4 + 3*v**4 - 9*v - 12*v**5 + 32*v**5 wrt v. 400*v**3 Let c(f) be the first derivative of -2*f**5/5 + f**2 - 4. What is the second derivative of c(h) wrt h? -24*h**2 Find the first derivative of 351*j**3 - 1 - 348*j**3 - 18 wrt j. 9*j**2 Let k(b) be the first derivative of 7/2*b**2 + 0*b - 7 + 1/3*b**3. Find the second derivative of k(r) wrt r. 2 Suppose 2 = 3*i - 4. What is the first derivative of 1 + 2*f**3 + 17*f**i - 17*f**2 wrt f? 6*f**2 Let l(g) be the third derivative of -11*g**7/210 + 5*g**3/2 - 6*g**2. What is the derivative of l(n) wrt n? -44*n**3 Let d = 4 - 2. What is the first derivative of -2 + 3 - 2*r**d + r**2 wrt r? -2*r Let k(s) = s**2 + s + 4. Let u(c) = 2*c + 1 + 11*c - 14*c. Let b(i) = k(i) - 4*u(i). What is the second derivative of b(r) wrt r? 2 Let c(t) = t**3. Let f(s) = 15*s**3 + 13*s**2. Let g(x) = -6*c(x) + 2*f(x). What is the third derivative of g(j) wrt j? 144 Let l = 4 + -3. Let n be 3/2*(l + 1). What is the second derivative of 2*j**4 - n*j - 3*j**4 + 2*j wrt j? -12*j**2 Let k(w) = -7*w**3 + 2*w**2 - 2*w - 2. Let z(m) = 14*m**3 - 4*m**2 + 5*m + 5. Let i(j) = -5*k(j) - 2*z(j). Find the third derivative of i(b) wrt b. 42 Suppose 0 = -3*i + 3*v + 10 + 8, 23 = 5*i + 2*v. What is the second derivative of -3*b - 13*b**2 + 13*b**2 + b**i wrt b? 20*b**3 Let x(z) be the second derivative of 0*z**2 + 1/10*z**5 - 2*z + 1/3*z**3 + 0 + 0*z**4. Find the second derivative of x(n) wrt n. 12*n Find the third derivative of -20*s**2 - 5*s**3 + 12*s**3 + 20*s**3 wrt s. 162 Let m(r) = -r**2 + 5*r + 8. Let j be m(6). Find the second derivative of 2*f**2 - 3*f + 2*f**j + 0*f + 0*f wrt f. 8 Let j(d) = -d**4 - d**3 + d**2 - d - 1. Let u(f) = -2*f**4 + f**3 - f**2 + 26*f + 1. Let q(r) = j(r) + u(r). Find the second derivative of q(t) wrt t. -36*t**2 Let c(z) = -28*z**3 - 2*z**2 + 2*z - 26. Let f(p) = 111*p**3 + 9*p**2 - 9*p + 103. Let g(s) = -9*c(s) - 2*f(s). What is the first derivative of g(h) wrt h? 90*h**2 Let w(f) = 17*f**2 - 10*f. Let u(r) = 17*r**2 - 9*r. Let c(g) = 5*u(g) - 6*w(g). Find the second derivative of c(q) wrt q. -34 Let j be 0 + (-2)/1 - -5. Suppose k - j*k = 0. Find the second derivative of -a**4 + k*a**4 + a + a wrt a. -12*a**2 Find the second derivative of 6*t**5 + 2 + 0*t + 2*t - 2 wrt t. 120*t**3 Suppose -2*k - 3*b = -10, 0 = -5*k - 0*k + 4*b + 25. Suppose -4 = 4*r - 24. Find the third derivative of 0*w**r - 2*w**5 + w**k + w**2 wrt w. -60*w**2 Let s(c) = c + 8. Let l be s(-6). Find the third derivative of f**2 + f**4 - 2*f**2 + l*f**4 wrt f. 72*f Let a(r) be the third derivative of r**6/10 + r**4/24 + 10*r**2. Find the second derivative of a(b) wrt b. 72*b Let p be 36/4*6/9. Find the second derivative of -3*a - 5*a**4 + p*a - 2*a wrt a. -60*a**2 Find the first derivative of -98*l**2 + 4 + 76*l**2 + 5 wrt l. -44*l Let x be -3*-2*(-2)/(-4). Suppose 2*h - 10 = -x*h. Find the second derivative of -2*s**h + s + 0*s**2 + 5*s**2 wrt s. 6 Let i(j) be the second derivative of -2*j + 0 - 2*j**2 + 0*j**3 + 0*j**4 + 1/10*j**5. What is the first derivative of i(z) wrt z? 6*z**2 Let a(y) = y - 8. Let s be a(11). What is the derivative of -s + 0 - 3*m + 4*m - 5*m wrt m? -4 Let d(g) be the second derivative of -g**5/60 + g**4/8 - g**3/2 + 2*g. Let i(c) be the second derivative of d(c). What is the derivative of i(o) wrt o? -2 Suppose -h - 15 = -0*h + 4*v, 3*h - 2*v - 25 = 0. What is the third derivative of y**3 - y**3 + 3*y**3 - h*y**2 wrt y? 18 Let r(q) = q + 16. Let n be r(-11). Find the third derivative of -n*a**5 + a**2 - a**5 + 3*a**5 wrt a. -180*a**2 Let a(n) be the first derivative of 2 + 0*n + 0*n**3 + 0*n**4 + 4/5*n**5 - 2*n**2. Find the second derivative of a(g) wrt g. 48*g**2 Find the second derivative of 5*s**2 - 9*s - s - 3*s**2 - 6*s**2 wrt s. -8 Suppose 4*b - 6 = b. Find the third derivative of 2*l**6 + 0*l**2 - 2*l**2 + 3*l**b + 3*l**2 wrt l. 240*l**3 Let t(d) = 68*d + 49. Let s(c) = -34*c - 25. Let v(o) = 5*s(o) + 3*t(o). What is the first derivative of v(a) wrt a? 34 Let v(a) = 8*a**3 + 6*a**2 + 2. Let q(t) = -7*t**3 - 5*t**2 - 1. Let l(i) = 6*q(i) + 5*v(i). Differentiate l(f) wrt f. -6*f**2 Let f(v) be the second derivative of -v**6/3 + v**4/2 - 4*v. What is the third derivative of f(b) wrt b? -240*b Let f(c) be the first derivative of 5*c**7/7 + c**3/3 + 3. Find the third derivative of f(k) wrt k. 600*k**3 Let g = 20 + -6. Let k = g + -9. Find the third derivative of -n**2 - n**k + 0*n**5 - n**2 wrt n. -60*n**2 Find the first derivative of -467*b**3 + 19 + 467*b**3 - 19*b**4 wrt b. -76*b**3 Let y(q) be the second derivative of -q**4/3 - q**3/3 - 12*q. Find the second derivative of y(l) wrt l. -8 What is the second derivative of 72*r**2 - 44*r**2 - 52*r**2 + 52*r wrt r? -48 Find the second derivative of 23*o + 56 + 14*o - 31*o**4 - 56 wrt o. -372*o**2 Let k(s) be the second derivative of -s**7/7 - s**4/6 - 22*s. What is the third derivative of k(v) wrt v? -360*v**2 Let a(c) be the second derivative of 11*c**5/20 + 6*c**2 - 8*c. Differentiate a(w) wrt w. 33*w**2 Let b be (-3 + 2)*((-68)/(-12) - 6). Let y(l) be the first derivative of 1 - l + 0*l**2 - b*l**3. What is the derivative of y(w) wrt w? -2*w Let m(x) be the second derivative of 0*x**2 - 1/2*x**3 - 2/15*x**6 + 0 + 0*x**4 + 6*x + 0*x**5. Find the second derivative of m(f) wrt f. -48*f**2 Let c(x) = -9*x**4 + 2*x**3 + 12*x**2 - 2*x - 2. Let n(o) = -o**3 - o**2 + o + 1. Let p(d) = -c(d) - 2*n(
{ "pile_set_name": "DM Mathematics" }
*3 + 12*d**2 + 7*d - 3. Let y(u) = -o(u) + 6*q(u). Determine y(j). 3 Let j(c) be the third derivative of c**5/60 - c**4/3 - 3*c**3/2 + c**2. Suppose -21*y - 46 = -361. Suppose 0 = -18*t - y*t + 297. What is j(t)? 0 Let i(f) = -2*f**2 - 3*f + 4. Suppose -11*r + 15*r = 8. Suppose -3*o + 4*o = r. Determine i(o). -10 Let i = 31451 + -31454. Let d(m) = -m**2 - 1. Let s(w) = -6*w**2 - w - 10 - 3*w + 1. Let b(f) = -5*d(f) + s(f). Give b(i). -1 Let x be 8 + (5 - -1087)/6. Let s(y) = 4 - 3 - 198*y + 385*y - x*y - 5. Determine s(-7). 17 Let w(r) = r**3 - 18*r**2 + 16*r + 14. Let o be (-21)/105*-105 - 4. Determine w(o). -3 Suppose -12*h + 25443 = -10557. Let y be 4/14 - h/(-280). Let j(l) = -l**2 + 9*l + 14. Determine j(y). -8 Let y(i) = -10025 + 6*i + 10022 + 2*i. Let g(t) be the third derivative of -t**5/60 + t**4/8 + t**3/2 + 3*t**2. Let h be g(3). Calculate y(h). 21 Let u(v) = 13*v - 2. Let r(n) = -10*n - 2. Let s(k) = 13*k + 3. Let b(q) = -7*r(q) - 5*s(q). Let l(x) = -8*b(x) + 3*u(x). Let p be (0 + 2/4)*6. What is l(p)? -1 Suppose 0*t + 2*t = -16. Let d = -1248 - -1251. Let i(l) = -8 - 2 + 24*l**2 + 6*l + 0*l**d - 13*l**2 - l**3 - 18*l**2. Calculate i(t). 6 Let u(h) = h**2 + 3*h - 26. Let j be u(-10). Let y = 45 - j. Let o(b) = -4 - y + 2*b + 3*b - b + 2*b**2. Calculate o(-4). 11 Let c(g) = 7*g**3 + 8*g**2 - 15. Let d(q) = 8*q**3 + 8*q**2 - q - 17. Let y(o) = -7*c(o) + 6*d(o). Suppose -24 = 4*t - z, -4*t - 43 = t + 2*z. Calculate y(t). -4 Suppose 4*x - 162 = q, 2*q + x + 471 = 111. Let d = -179 - q. Let c(v) = 3*v. Give c(d). -3 Let x be 2/4 + 38/4. Let d(j) be the second derivative of -j**3/6 + 352*j. What is d(x)? -10 Let j be (19 + 89/(-5))*(2 - 4/12). Let h(f) be the first derivative of -f**2 - 2*f - 1. Determine h(j). -6 Let q(a) = 82. Let l(g) = -2*g + 160. Let n(u) = 4*l(u) - 7*q(u). Determine n(7). 10 Let c = -10598 - -10604. Let m(u) = -u**3 + 6*u**2 - 2*u + 7. Calculate m(c). -5 Let a = 33314 + -33303. Let u(c) = 10*c**2 - 108*c - 33. What is u(a)? -11 Let q(w) = -6*w**3 - 7*w + 6. Let f(g) = -7*g**3 - g**2 - 7*g + 6. Let o(n) = 5*f(n) - 6*q(n). What is o(4)? 6 Suppose -3*l + 0*l - d = -14, 4*d = -4*l + 32. Suppose -78 = -10*t - l*t. Let q(u) = u**2 - 9*u + 9. Give q(t). -9 Let s(w) = 110 - 227 + 18*w + 8*w - w**2 + 116 - 31*w. Suppose 2*h + 2*h - 52 = 0. Suppose -6 = -2*o - 4*x, -2*x - x = 5*o + h. What is s(o)? -1 Suppose 24*k = -2*p + 19*k - 15, 5*k = -4*p - 5. Let v(y) be the second derivative of -3*y**2 - p*y - y**3 + 0 - 1/12*y**4. Determine v(-5). -1 Let m(w) be the third derivative of w**4/12 - 53*w**3/6 + w**2 + 37*w + 7. Determine m(23). -7 Suppose 0 = -3*w + 1038 - 1029, -4*s - w = 5. Let y(l) = -3*l + 2*l + 0*l. What is y(s)? 2 Let u(b) = -b**2 + 20*b - 41. Let m be (-2)/(-3) - (32 - (-3944)/(-87)). Calculate u(m). 43 Let i(l) be the second derivative of -l**4/12 + l**3 - 2*l**2 - 4*l. Let d(m) = -m**2 + 17*m - 26. Let a be d(15). Determine i(a). 4 Let l = -8883 + 8886. Let h(r) = r**3 - 2*r**3 + 1 + 2. Give h(l). -24 Let q(s) = 5*s**2 - 48*s - 16. Suppose 454*j + 4072 = -366*j + 12272. What is q(j)? 4 Let t = -6231 + 6239. Let r(p) = p**3 - 7*p**2 - 8*p - 9. Give r(t). -9 Suppose -y - 8 = -1. Let l(r) = 17*r + 1069. Let s(x) = -20*x - 1249. Let m(j) = -7*l(j) - 6*s(j). Determine m(y). 4 Let x(b) be the second derivative of b**6/720 - 7*b**5/40 + 125*b**4/12 - 46*b. Let p(s) be the third derivative of x(s). What is p(10)? -11 Suppose c + 35 = 5*i, -4*c - 35 - 9 = -4*i. Let z(v) = 16*v - v**3 + 8*v**2 - 4*v + i - 13*v. Let u(m) = -m**3 - 9*m**2 - 8*m + 8. Let l be u(-8). Give z(l). -2 Let t(r) = -36*r**3 - 16*r**2 - 15*r - 10. Let s(x) = 101*x**3 + 47*x**2 + 44*x + 29. Let q(m) = 5*s(m) + 14*t(m). Calculate q(-10). 5 Let v(x) = 48*x - 140*x**2 - 93*x + 4*x**2 + 47*x. What is v(-1)? -138 Let i be (-19 + 13 - ((-33)/6 + 4))*-4. Let a(b) = 4*b - 72. What is a(i)? 0 Suppose 77*n + 2382 = 583*n - 1160. Let c(r) be the first derivative of 7*r**2/2 - 3*r - 2. What is c(n)? 46 Suppose -2*x + 3*k - 9 = 0, 0 = 4*x + 2*k + k + 27. Let j be 4*7/(-28)*x. Let h(c) = c**3 - 5*c**2 - 5*c - 3. Determine h(j). 3 Let g(w) be the third derivative of w**5/60 + 5*w**4/24 - 2*w**3/3 - w**2. Suppose 161 = 2*u + 3*y, -6*u + 58 = -5*u - 3*y. Let d = u + -78. Determine g(d). -4 Let c(j) = -j**2 - 19*j - 88. Let x = -3161 - -3147. What is c(x)? -18 Suppose 0 = 15*c - 127 - 83. Let f(y) = -8 + 3*y + 7*y + y + 5*y**3 - 18*y**3 + c*y**3 + 10*y**2. Calculate f(-8). 32 Let u(s) = -3*s**2 + 88*s - 11. Let b(z) = -2*z**2 + 63*z - 7. Let i(o) = -7*b(o) + 5*u(o). Let q = -16 + 16. Give i(q). -6 Let f(y) = -3*y**2 + 3*y - 61. Let w(v) = 2*v**2 - 8*v + 47. Let k(r) = 3*f(r) + 4*w(r). Determine k(-21). 47 Let j(q) = -11*q**2 - 36*q + 19. Let f(o) = 9*o**2 + 30*o - 18. Let b(g) = -5*f(g) - 4*j(g). Determine b(-7). 7 Let i(a) = -1459 + a**3 + 1473 + 5*a**2 + a + 15*a**2. Calculate i(-20). -6 Let c(r) = -r + 9. Let g be c(7). Let m(y) = -g - y + 3 + 0. Suppose -3*l - 10 = 2*s - 6*l, -s - 6 = -2*l. Give m(s). 3 Suppose 17*q - 30 = 4. Suppose -j = 5*a + 6, -2*a + 0*a + q*j = 12. Let b(r) = -3*r**2 + 2. What is b(a)? -10 Let m(f) = -128*f - 71. Let g(r) = 59*r + 35. Let z(s) = -13*g(s) - 6*m(s). Determine z(27). -2 Let z(s) = 525*s + 1061. Let b be z(-2). Let j(h) = -h**3 + 10*h**2 + 5*h + 30. What is j(b)? -36 Let j(u) = u**2 - 7*u - 1. Let v = 150 - -22. Let l = -167 + v. What is j(l)? -11 Let f(h) = h. Let a be (-6)/4*(143/(-33) + 3). Suppose 4 = z + 3*o, 7*z - 3*z - 26 = -a*o. Determine f(z). 7 Let c(u) = 2*u - 52. Let z be c(29). Let v(n) = -n**2 - 3. Determine v(z). -39 Let o(s) = -s**3 + 2*s**2 + 11. Let q(c) = 3*c**3 + c**2 - 15. Let u(h) = -2*o(h) - q(h). Give u(-5). -7 Let x(z) be the first derivative of -z**3/3 - 13*z**2/2 + 13*z - 1. Let c(a) = -a**3 + 181*a**2 - 8082*a + 146. Let r be c(80). Calculate x(r). -1 Suppose 0 = -4*p + 5*p - 2. Let h(q) = 1 + 6 - p*q - 2. Let s = 3477 - 3473. Calculate h(s). -3 Let f(g) = g - 5. Let k be 2/((-6)/(-15) - 6/40). Let o(t) = 5*t - 10. Let b be o(k). Suppose 3*p - 2*w = w + b, -4*p + 36 = -3*w. Give f(p). 1 Let p(t) = 3*t**3 + 81*t**2 + 34*t + 60. Let v(q) = -4*q**3 - 85*q**2 - 35*q - 61. Let n(u) = -6*p(u) - 5*v(u). What is n(31)? 7 Let b(v) = -3*v + 0*v + 4*v. Let a = 158285 - 158295. What is b(a)? -10 Let j(v) = 10*v**2 - v - 2. Let w = 5401 - 5403. Calculate j(w). 40 Let n(d) = -23*d**2 + 88*d**2 - 63*d**2 - 5 + 0. Determine n(3). 13 Let u(c) be the third derivative of -c**6/120 + c**5/30 - c**4/6 - 4*c**3/3 - 212*c**2 + 14. What is u(0)? -8 Let w(d) = -d. Let h(y) = 7*y + 1. Suppose 3*v + 5 = 2. Let l(j) = v*h(j) - 6*w(j). Suppose -205*q + 1215 = -448*q. Determine l(q). 4 Let d(w) be the second derivative of -w**4/12 - 5*w**3/3 + 8*w**2 + 820*w. Determine d(-9). 25 Let v(j) = -8*j + 5. Let d be 2*3*55/30. Suppose -16*x + d*x = -25. Let b(y) = 12*y - 8. Let m(w) = x*b(w) + 8*v(w). Calculate m(1). -4 Let k(z) = -1529*z**3 - 2 - 7*z + 3063*z**3 + 7*z**2 + 5*z - 10*z - 1532*z**3. Determine k(-6). -110 Suppose -52 - 329 - 224 = 55*d. Let i(t) = -t**3 - 12*t**2 - 8*t + 29. Determine i(d). -4 Let y(p) = 70*p + 3. Let j = 13910 + -13910. Calculate y(j). 3 Let x = 2 + 0. Suppose -x*i + 3*u = 3*i - 67, 4*i = 5*u + 64. Let k(d) = i*d**2 + 2*d**3 - 3*d**3 + 2*d**3 - 12*d**2. Calculate k(0). 0 Suppose -2*b + 24 = 20. Let h(i) = 47*i**2 - 4*i - 94*i**b - 8 + 1 + 46*i**2. What is h(-6)? -19 Let z(j) = -j**2 - 6*j + 2. Suppose 0 = -2*y + 2*p - 326, 0 = 12*p - 7*p - 10. Let r = y - -156. Give z(r). 7 Let k(q) be the second derivative of 7/2*q**3 + 13*q + 0 + 0*q**5 + 0*q**2 + 0*q**4 + 1/40*q**6. Let y(u) be the second derivative of k(u). Give y(1). 9 Let f(r) = r**3 + 11*r**2 + 12*r + 28. Let v be f(-11). Let b = -114 - v. Let z(q) = q**2 + 9*q - 11. Calculate z(b). -1 Let b(n) = -n**2 - 6*n + 2. Let g be 8 + 6/2 + 1. Let m be (-2)/g + (35/(-42) - 2). Determine b(m). 11 Let n(u) = 73*u**2 + u - 5. Let g(m) = -12*m**2 + 3*m - 2. Let i(f) = 10*f**2 - 4*f + 3. Let h(c) = -4*g(c) - 3*i(c). Let z(o) = 9*h(o) - 2*n(o). Give z(1). 15 Let d(h) be the first derivative of -1/360*h**6 - 2*h**3 - 1/20*h**5 + 0*h - 1/4*h**4 + 0*h**2 + 10. Let z(b) be the third derivative of d(b). What is z(-4)? 2 Let s(j) = -30*j**2 - 17*j - 19. Let y(h) = -1
{ "pile_set_name": "DM Mathematics" }
). Calculate the greatest common divisor of 103 and d. 103 Let p(b) = 37*b - 193. Let i be p(12). Let n = i + -235. Calculate the greatest common factor of n and 136. 8 Let a(u) be the second derivative of 11*u**3/2 + 207*u**2/2 + 192*u. Let z be a(-6). Calculate the highest common factor of z and 144. 9 Let u(q) = -385*q - 360. Let w be u(-1). What is the greatest common factor of 3 and w? 1 Let n = 561 - 381. Let l = n + -136. Calculate the greatest common divisor of l and 99. 11 Suppose -16*f + 13395 = 79*f. Calculate the highest common divisor of f and 6157. 47 Let p(b) = -2*b - 2. Let g be p(-2). Suppose 88 = -0*c + g*c + l, -5*c + 2*l = -229. Suppose 3*y = -2*y + c. What is the greatest common factor of 9 and y? 9 Suppose -688*a = -721*a + 55242. What is the greatest common factor of 198 and a? 18 Suppose 0 = -3013*y + 3004*y + 93024. What is the greatest common divisor of 17 and y? 17 Let f(h) = h**2 + 8*h + 5. Let c be f(-4). Let t be 0/(2 + -1) - (-185 - c). What is the greatest common factor of 116 and t? 58 Suppose 0 = f - 5*a - 2561, 19*a = 14*a - 5. What is the highest common divisor of f and 6? 6 Let u = -343 - -345. Suppose -c = r - 17, 0 = -32*r + 28*r + u*c + 98. What is the highest common divisor of 187 and r? 11 Let c be ((-72)/(-126))/(2/7). Suppose -w = 4*i - 714, 3*i + 2097 = c*w + w. Calculate the highest common factor of w and 78. 78 Let q = 1057 - 95. Calculate the highest common factor of 148 and q. 74 Let a be 11 + (-8)/(-20)*10. Let u = 39 + a. Suppose 0 = 4*r + 2*v - 424, 5*r + 2*v - 30 = 502. Calculate the highest common factor of r and u. 54 Let g = -4930 - -5875. What is the highest common divisor of 108 and g? 27 Let m(q) = 305*q**2 + 2428*q + 8. Let d be m(-8). What is the highest common divisor of 2808 and d? 104 Let h = -38798 - -40703. What is the greatest common factor of h and 5? 5 Suppose 27*u - 32*u - 5*v = -30, 4*v = -3*u + 23. What is the greatest common divisor of 32 and u? 1 Let t be (1/2)/(9 + 4365/(-486)). Let j be 25/((4/18)/(12/t)). Let i = 399 - 274. What is the highest common factor of i and j? 25 Let w = 100 + -40. Suppose 30*c = 1207 - 545 + 688. What is the greatest common divisor of c and w? 15 Suppose x + 7*x = 24. Suppose -u + s = -5*u + 41, 0 = s - 5. What is the greatest common factor of u and x? 3 Let a be 348/84 - ((-26)/14 + 2). Suppose -a*n + 5*n = 4*p - 48, 3*p - n - 35 = 0. Calculate the greatest common factor of 104 and p. 13 Let f be (-64)/(-12) - ((-6)/9 - 0). Suppose -5*z - 3*a = -10*z, 0 = 2*z + 5*a - 31. Suppose z*d = d + f. Calculate the greatest common factor of 2 and d. 1 Let t be (-172)/43 + (0 - 20/(-1)). Let l be (2 + t/(-4))/2*-13. What is the highest common divisor of l and 481? 13 Suppose l = -3*l. Let j(p) be the first derivative of p**3/3 - 3*p**2/2 + 32*p - 52. Let a be j(l). Calculate the highest common factor of a and 128. 32 Let q(t) = -t**3 + 16*t**2 + 31*t - 696. Let c be q(12). Suppose -2*g - g = -108. Calculate the greatest common factor of c and g. 36 Let s be 1913 + -1909 + ((-56)/10)/(1/(-20)). What is the greatest common divisor of 8 and s? 4 Let v be (4/10)/((-10)/(-200)). Let o be 159 + 6/(-2) + v. What is the greatest common divisor of o and 410? 82 Let r = -19 - -24. Suppose r*c - 3*o - 45 - 62 = 0, -c + 5*o = -17. Calculate the highest common divisor of 121 and c. 11 Suppose 2*d + 3*d = 25. Let c be (-5)/3*(1 - 4). Suppose 2*b + 277 = c*b - d*t, 2*t = -b + 74. Calculate the greatest common divisor of 21 and b. 21 Let i = -15355 + 15861. What is the greatest common factor of 1426 and i? 46 Let l be (7 - 7432/6)*132/(-10). Calculate the greatest common divisor of 22 and l. 22 Let k = -677 + 695. Let p be (-128)/18 - -7 - (-650)/k. What is the greatest common divisor of p and 54? 18 Let r = 30663 - 30653. Let w(t) = -t - 4. Let o be w(-8). Suppose 0 = 2*h - 4*v - 196, -o*v + 18 = -3*h + 304. What is the greatest common divisor of h and r? 10 Let k = 2742 + -1857. What is the highest common divisor of 60 and k? 15 Let s be -5*(18/(-30) - 5). Suppose -4*u + 48 = -4*f, 2*u - f - 68 = -3*u. Let w = s - u. What is the highest common factor of 56 and w? 14 Suppose 9*z + z = 4*z. Let n be (-3)/1 + (-1 - (-2 - z)). Let q be (1/(0 + n/(-6)))/1. What is the highest common factor of q and 12? 3 Let b = -667 - -680. Calculate the greatest common factor of 611 and b. 13 Suppose 2*a + 203*n = 202*n + 819, 0 = a + 2*n - 408. What is the highest common factor of 110 and a? 10 Suppose -m = -c - 16 + 11, c - 4 = 0. What is the greatest common divisor of 1773 and m? 9 Let v = -74 - -109. Let n = 1 - 333. Let k = -327 - n. Calculate the highest common factor of v and k. 5 Suppose -16 = 4*f, 4*t + 3247*f - 3246*f = 78528. What is the greatest common factor of t and 29? 29 Let v be (-16212)/(-120) + (3/75)/((-16)/40). What is the highest common factor of 1944 and v? 27 Let s(x) = -x**2 + 7*x - 10. Let y be s(2). Suppose -10*k + y*k = 0. Suppose k = -8*t + 4*t + 640. What is the greatest common factor of 10 and t? 10 Let h(w) = 54*w**2 + 2*w. Let b be h(2). Let z be (-1)/(11/(-143)) + (-54)/(-2). What is the highest common factor of z and b? 20 Let f be ((264/(-56))/11)/((-5)/805). Calculate the greatest common divisor of f and 989. 23 Suppose 4*n + 6592 = -3*w + 1816, -4*n = 0. Let x be w/(-5) - ((-70)/(-25))/7. Calculate the greatest common divisor of x and 6. 6 Let f(d) = -37*d - 94. Let o be f(-6). What is the highest common divisor of 112 and o? 16 Suppose 2125 + 1827 = 13*h - 26. Calculate the greatest common divisor of h and 18. 18 Let z be (-10608)/26*(4 - 5). What is the greatest common divisor of 357 and z? 51 Let p = -4341 + 4677. What is the greatest common factor of 2100 and p? 84 Let d be (306/(-6))/(-5 + 4). Suppose 0 = -10*b + 9*b + 170. Calculate the greatest common factor of d and b. 17 Suppose -o + 17*m + 107 = 12*m, 0 = -2*o - 5*m + 349. What is the greatest common divisor of o and 3059? 19 Suppose 0 = -5*s + 3*f + 2865 + 3157, 4*s - 10*f = 4772. What is the greatest common divisor of 40 and s? 8 Suppose 0 = 43*w - 4092 - 638. Calculate the highest common factor of 880 and w. 110 Let o(l) = 4*l + 1. Let k be o(3). Let a = k - 5. Let t be 900/125*10/3. Calculate the greatest common factor of a and t. 8 Suppose -25*j + 27*j - 10*j + 5248 = 0. Calculate the highest common divisor of 902 and j. 82 Suppose -458 = -3*w - 17*l + 16*l, 3*w - l = 460. What is the highest common divisor of 85 and w? 17 Let j be ((-6)/33 - (-91)/77) + 3. Let m be (-12)/48 - (-45)/j. What is the greatest common factor of m and 1? 1 Let h be 1*92*(-2 + (-50)/(-20)). Suppose 11*g = -2 + h. What is the highest common divisor of g and 16? 4 Suppose -3*d + 23*q + 1230 = 18*q, 0 = -2*d - 5*q + 845. What is the highest common divisor of d and 664? 83 Suppose 5600 = 83*d - 51*d. Suppose -8*p - 80 = -l - 3*p, -5*l + 504 = p. Calculate the highest common factor of l and d. 25 Let w(k) = k + 1. Let s be w(2). Suppose 430*o = 404*o + 702. Suppose s = -24*q + o*q. Calculate the greatest common divisor of 1 and q. 1 Let o(s) = s**3 - 6*s**2 - 22*s - 9. Let p be o(9). Suppose -5*f - 5*j + 1155 = 0, -4*f - 3*j = -j - 918. What is the highest common factor of f and p? 12 Suppose -1662 = -2*y - 3*n, 4*y - 5*n - 924 - 2444 = 0. Let t = -263 + y. Calculate the greatest common divisor of 14 and t. 14 Let d be (-7598)/(-203) - 6/14. What is the highest common factor of 2 and d? 1 Let t(i) = i**2 + 2. Let s be t(-4). Suppose 0 = -3*d + 2*a + 3962, 0 = 1841*d - 1845*d + 3*a + 5286. Calculate the greatest common divisor of s and d. 18 Let b(n) = n**3 + 26*n**2 + 82*n + 24. Let r be b(-4). What is the highest common factor of r and 78? 6 Let p(c) = 521*c - 42. Let g be p(-1). Let f = g + 618. Let w be 37/7 - 4/14. What is the highest common divisor of w and f? 5 Suppose 0 = 2022*p - 2009*p - 13260. Calculate the greatest common divisor of 425 and p. 85 Let f = 34214 - 30358. What is the greatest common factor of f and 64? 16 Let m(u) = -12*u**2 + 22 + 11231*u**3 - 11230*u**3 + 2*u - 3*u. Let x be m(12). Calculate the greatest common factor of 40 and x. 10 Suppose 0 = 29*b + 1132 - 5598. Calculate the highest common divisor of 21 and b. 7 Let w(s) = -2*s**2 + 37*s - 6. Let i be w(18). Suppose -5*d - 12
{ "pile_set_name": "DM Mathematics" }
-83. Let m = 93 + -44. Let h be 6/2 - 126/m. Which is the closest to 0.8? (a) 1/2 (b) n (c) h a Let o be (-1 + 48/36)*12. Which is the closest to -2? (a) o (b) 0 (c) 0.2 (d) -1/46 d Let f = 586 - 583. Suppose -2*y = -2*t, -t - y - 20 = -6*t. Which is the closest to -0.1? (a) t (b) 1/4 (c) f b Let d be -6 - -2 - ((-805)/25)/7. Let f(p) = p**3 + 3*p**2 + 2*p + 1. Let x be f(-2). Let s = 4.1 + -0.1. Which is the closest to x? (a) s (b) -5 (c) d c Let n be (72 - 71)/(2/2). Suppose 10*d + n = 61. Which is the closest to -1/4? (a) 1 (b) -1 (c) d b Suppose 0 = 3*w + 2*v + 6, -v = w + 3*w + 13. Let s be (6/w)/((-3)/(-2)). Let k be (-7)/14 - (39/54 + s). What is the closest to k in 0.5, -2/9, -3/4? -2/9 Let l = 193 + -193. Let c = 15/28 + 319/84. What is the nearest to l in c, -0.2, 0.1? 0.1 Let y = -12785 - -12781. Which is the closest to -2? (a) 0.1 (b) 1 (c) 30 (d) y d Let y = 17587/11 + -1599. Which is the nearest to -0.1? (a) -0.3 (b) 0.09 (c) y (d) -31 c Let x = 4.131 - 4.331. What is the nearest to -1 in -5, 0.9, 5, x? x Let b = -27436 + 27416. Let i = -0.2 - 0.1. What is the closest to -1/2 in b, 1, i, -1? i Let h = 23903.2 + -23903. What is the closest to -1/5 in -269, -1, h, -2/17? -2/17 Suppose 5*a - 12 + 5 = -6*w, -5 = 5*a. What is the closest to 0 in 0.04, 1/4, w, 0.4? 0.04 Let j = -13895 - -13873. What is the closest to 1/4 in -0.5, 2, 4, j? -0.5 Let j = 12661.5 - 12661.8. Let d be 2/(-3) + 8/(-6). Which is the nearest to d? (a) -0.2 (b) j (c) -5 b Let c = -12 + 14. Let d(s) = 2*s**3 + 10*s**2 - 16*s - 95. Let h be d(-4). What is the nearest to 1 in h, c, -3? h Let v be ((-1)/2)/(105/(-105)). Which is the closest to v? (a) -0.053 (b) -3 (c) -5 a Suppose 296*h - 1225 = 5386 + 1677. Which is the closest to h? (a) 0.3 (b) 2/7 (c) -0.5 (d) 1 d Let z = 205.539 + -0.539. Let i = z - 205.06. Which is the nearest to i? (a) 7/3 (b) 0.1 (c) -0.1 (d) -3 c Let y = -1554 - -1555. Which is the closest to y? (a) -4 (b) 5/4 (c) -11 (d) -5 b Let o = 0 - -0.1. Let p be (49*112/124852)/(2/(-14)). What is the nearest to o in -2, -2/3, p? p Let q = -5 - -6. Let s = -0.03746 + 0.53746. What is the closest to -1 in 3, -2, s, q? -2 Suppose 8*l = 2*l + 30. Let k = 2.43 + -2.5. Let r = k + -0.13. Which is the nearest to 1? (a) 0.5 (b) l (c) r a Let o = 0.46235 + 0.03765. Let n be 0 + ((-130)/(-35) - 4). Which is the nearest to n? (a) 4 (b) -2 (c) o (d) -0.4 d Let q be 10*(-13)/520*(0 - 0/3). Which is the closest to 0.3? (a) -0.04 (b) q (c) -2/9 (d) -2 b Let d = -3.116 - -3.31. Let z = 0.306 + d. What is the nearest to -3 in -2, z, -0.2? -2 Let f = -18849.3 + 18849. Which is the closest to 1.1? (a) f (b) -1 (c) -4 a Let q = 135340/9 - 15038. Which is the nearest to -1? (a) q (b) -40 (c) -0.2 a Let k = 8 + -5. Let r = -3542.9 - -3540.9. Let i be 3/12 + 42/(-104). What is the nearest to k in -0.3, r, i? i Let l be (-218)/545*(-18)/4. Let o = -12 + 14. What is the closest to 0.1 in o, l, 3/2? 3/2 Let a = 0.8 - -0.2. Let r = -31.28 + 31.38. What is the nearest to a in -2, 0.01, r? r Let n = 7848 - 7790. What is the nearest to n in 3, 1, 0? 3 Let w = 20.64 - 20.74. Which is the closest to -2/3? (a) w (b) 0.3 (c) -17 (d) 2/15 a Let i = -1184.3 - -1184.3. What is the closest to -1/18 in 2/45, i, 0.3? i Let t = -7.18 + 0.18. Let m = 0.0525139 - 0.4525139. Let o = -6 + 1. What is the nearest to t in o, -1/5, m? o Suppose 2*v = -v + 9. Suppose 5*n + 2*l + 1248 = 0, -2*n = 3*l + 398 + 110. Let a = 2231/9 + n. What is the closest to v in -2, -4, a? a Let h = 162/5 + -1144/35. Let n = 1480 - 1475. Suppose x - d - 12 = -3*x, 3*d - 8 = x. Which is the closest to h? (a) x (b) 0.3 (c) n b Let q = -3561 - -3548. Which is the nearest to q? (a) 4 (b) -1/3 (c) -19 c Let u = -2925 - -2928. Which is the closest to 19? (a) -0.5 (b) u (c) 0.3 (d) -0.4 b Let m = -1/6317 - 6313/25268. Let y be ((-6)/(-9) + 0)*3. Let h be (-6)/117*(y - -1). Which is the nearest to m? (a) h (b) -5 (c) -4/5 a Let t = 4.6279 - 3.6279. What is the closest to -3 in t, -0.2, -3.3, -1? -3.3 Let m be (6/(-133))/(-3 - -1 - 559/(-301)). Which is the nearest to m? (a) -5 (b) -0.5 (c) 0.06 (d) 2 c Let z = 1/10 + 2/5. Let n = 171 - 217. Let d = -281/6 - n. Which is the closest to 2/5? (a) d (b) z (c) -5 b Let c = 114 - 119. What is the closest to -0.4 in 4/5, -0.1, -34, c? -0.1 Suppose 56 = -20*q + 6*q. Let x be (q/(-30))/((-476)/(-70) - 6). Let k = 1 - 1.1. Which is the nearest to -3? (a) k (b) x (c) 0 a Let t = 15 + -11. Let w be 1/(-15) + (-281)/843. Which is the nearest to w? (a) t (b) -1 (c) -0.2 c Let b = -23841.1 - -23841. What is the nearest to 0.199 in 4, -2, b? b Let q = 67.34 - 0.84. Let p = 67 - q. Which is the nearest to -2? (a) -6 (b) p (c) -0.4 c Let m = 4.5299 + 0.4701. Which is the closest to 0? (a) 5/4 (b) -8.4 (c) 1 (d) m c Let t be (0/1)/(0 + -2). Let h = -6.6366 - -6.59. Let f = -0.3534 + h. Which is the nearest to -0.1? (a) -4 (b) f (c) t c Let y = -5.1589 + 5.0589. Let r = 0.9 - 8.9. Which is the closest to 4? (a) y (b) 1 (c) r b Let i = -0.02085 + -0.97915. What is the closest to 4 in 3/5, 2/111, i, -4? 3/5 Suppose 170 = 25*u + 9*u. Which is the closest to -2? (a) 1/5 (b) u (c) 9/7 (d) -3/7 d Let r = 74.907 + 0.093. Let o = 70 - r. What is the closest to -2 in o, -2, 2? -2 Let n(u) = 161*u - 4921. Let p be n(30). Which is the nearest to p? (a) -0.4 (b) -5 (c) -11/2 c Let u = 0.3 + -0.1. Let z = 0.09303 + -0.29303. What is the nearest to u in z, 5, -1/2? z Let v be (-192)/88 - (-13)/((-39)/(-6)). Let m = -26 + 22. Which is the nearest to v? (a) 2/15 (b) 0.2 (c) m a Let r = 44.3 - 44. Let n(g) = g**2 + 11*g + 1. Let j be n(-11). Let o be (-3 + 5)/j*-1. Which is the closest to 3? (a) r (b) 0 (c) o a Let q = -12523.93 + 12524. What is the nearest to q in 12, 0.4, 0, 3/4? 0 Let p = -16503 - -16500. Which is the nearest to 186? (a) 0.4 (b) 1/11 (c) p a Let t = 22621 + -22622. Let g = 1.98 - -0.02. Let z = 1.9 - g. Which is the closest to z? (a) 1/3 (b) -0.1 (c) t b Let d be 9/(-45) - 288/(-15). Let h = 19 - d. Let l be 26/20*2 + -3. Which is the nearest to l? (a) 13 (b) 1 (c) h c Let g = -45490 - -45586. What is the closest to 0 in -0.4, 2/7, 1/5, g? 1/5 Let d = -170415 - -170412. Let k = 4 - 44. What is the nearest to 3 in 0.4, k, 3/8, d? 0.4 Let k = 42.09 - 0.09. Let d = k + -39. Let h = -3 + 0. What is the closest to -2/7 in h, d, 22? h Let m = -7.73 - -3.73. Which is the closest to -1? (a) 31 (b) -2/9 (c) m (d) -0.4 d Let t = -14756.6 + 14757. What is the closest to 4 in 0.3, t, -83? t Let r = 2168.9 - 2169.9. What is the closest to 1/3 in 2/15, r, -17? 2/15 Let c = 72 - 83. Let k = -5 + 5.2. Let a = -111 - -110. What is the closest to -0.1 in c, k, a? k Let r = -0.3 + 0.3. Suppose 0 = -82*o + 80*o + 1386. Let v = o - 691. Which is the nearest to r? (a) v (b) -4/15 (c) -0.1 c Let f(d) = -2876*d + 8629. Let z be f(3). Let s = -0.08 + -2.92. Let x = 3799/21 - 181. What is the closest to z in x, 0.2, s? 0.2 Let s be 3/24*-2*1. Let t = -0.77 + 0.56. Let w = -0.11 - t. What is the closest to -1/4 in s, w, -0.1? s Let d = 0.6393 + -0.9893. Which is the closest to 0.1? (a) -1/2 (b) d (c) 1 b Let t = -36/35 - -79459/315. Let d = 251 - t. Let q = -5.03572 - -0.03572. What is the closest to -1 in 0.2, d, q? d Let o = 0.7 - -0.3. Let y = -0.2161 + 0.2361. Suppose k + 8 = 5. What is the nearest to y in k, 3, o? o Let i = -1.728 + 7.728. Let y = 1134/5 + -226. Which is the closest to -0.2? (a) -0.1 (b) y (c) i a Suppose -4*p = -9*p - 25, -18 = -3*k + 3*p. Let s be ((4/(-42))/k)/(5/15). Let v = 2 - 2. What is the closest to v in -3/8, s, -0.1? -0.1 Let k = 21 + -130. Let w = -1415/13 - k. Let b = -101/210 - 2/105. What is the nearest to 2/5 in b, 4, w? w Let b = 23 - -1. Let l = 28 - b. Suppose l = -14*n + 13*n. What is the closest to 1 in 2/7, -3, n? 2/7 Let x = -14/15 - -8/5. Suppose 2*d - 13 = -9, g - d = -1152. Let w = -5751/5 - g. What is the nearest to x in 0.4, w, -2? 0.4 Let l = 1/1223 + -3671/2446. Which is the nearest to -0.93? (a) -1/3 (b) 1 (c) l (d) -2 c Let i = 0.01566 - -1.38434. What is the nearest to -2/9 in -17, 2/7, 2, i? 2/7 Suppose t + 9 = -h, 2*t -
{ "pile_set_name": "DM Mathematics" }
-4*a**3 + 66*a**2 + 11930*a What is the second derivative of -469796610*x**4 - 76412429*x? -5637559320*x**2 What is the derivative of 67*c**3 + 3*c**2 + 61063*c + 101694561 wrt c? 201*c**2 + 6*c + 61063 What is the third derivative of 196435*b*s**3 + b*s - 68*b - 23*s**3 + 10347*s**2 wrt s? 1178610*b - 138 Find the third derivative of -171413383*o**3 - 14649059*o**2 - 4*o wrt o. -1028480298 What is the second derivative of 12575*d**2*h**3 - 23*d**2*h*v + 314*d**2*h - 14*d*h**2 + 55851*h**3*v - 2*h**3 + 10*h*v wrt d? 25150*h**3 - 46*h*v + 628*h What is the second derivative of -2*m**3 - 7652*m**2*y*z - 419*m**2*y - 3*m*y*z + 450*m*y + 17*m*z - m - 2*y*z - 16*z wrt m? -12*m - 15304*y*z - 838*y Find the third derivative of -13958300*h**4 - 15774122*h**2 wrt h. -334999200*h Differentiate -11017199*h**2 - 14*h + 435754676 with respect to h. -22034398*h - 14 What is the second derivative of -187533664*d*w**2 + 109*d*w - 5313*d - 5*w wrt w? -375067328*d Find the second derivative of 14637*b**3*r*x**2 - 3043*b**2*r + 956063*b*x**2 - 4*r*x wrt b. 87822*b*r*x**2 - 6086*r What is the third derivative of 7*g**5 - g**4 + 2586700*g**3 + g**2 - 41649603? 420*g**2 - 24*g + 15520200 Find the first derivative of -438311*j**3*w - 4*j*w**3 - 7*w**3 - 1245193 wrt j. -1314933*j**2*w - 4*w**3 Differentiate 6*c**3 - 3914266*c - 22579496 wrt c. 18*c**2 - 3914266 Find the first derivative of 487*a*o**3 + 2*a*o**2 - 3*a*o + 23*a + 94926774*o**3 wrt a. 487*o**3 + 2*o**2 - 3*o + 23 Find the second derivative of -4871778*g**2 + 13*g - 234967. -9743556 What is the second derivative of 46*b**5 - 70699*b**4 - 7799660*b + 9 wrt b? 920*b**3 - 848388*b**2 Find the first derivative of 159149432*a - 132524676. 159149432 Differentiate 131651008*s - 137557669. 131651008 Find the second derivative of -5*m**4*t + 59716*m**2*t**3 - 889*m*t - 3*m - 1186*t**3 wrt m. -60*m**2*t + 119432*t**3 What is the second derivative of 407174*b**3*c**5 + 29*b**3*c**3 + 7*b**3*c - 5*b**3 - 5*b**2 + 3*b + 944*c wrt c? 8143480*b**3*c**3 + 174*b**3*c Find the second derivative of 16*r**3*s**3 - 2672*r**3*s + r*s + 4323*r + 5268486*s**5 - 2 wrt s. 96*r**3*s + 105369720*s**3 What is the third derivative of -7685787*n**3*x + 508*n**2 + 540*n*x wrt n? -46114722*x Find the third derivative of -x**5 - 37242225*x**3 + 141*x**2 + 367253*x wrt x. -60*x**2 - 223453350 Find the first derivative of -36318078*m + 33019135. -36318078 What is the second derivative of 232*p**3*q*z**2 - 3*p**3*q*z + 27*p**3*q - p**3*z - 21955*p**2*q*z**2 + 26*p**2 + 50*p*z wrt z? 464*p**3*q - 43910*p**2*q What is the first derivative of -67327516*t + 148787448 wrt t? -67327516 What is the third derivative of -1215*i**2*k**3 - i**2*k**2 - 140462*i*k**3 + 154089687*k**2 wrt k? -7290*i**2 - 842772*i Find the second derivative of 3766*x**5 - 8035*x**3 - x + 81135331 wrt x. 75320*x**3 - 48210*x Find the third derivative of -95913407*a**4 - 79141894*a**2. -2301921768*a Find the third derivative of 386943202*t**4 + 291446334*t**2 wrt t. 9286636848*t What is the third derivative of 7734227*g**5 - 1127435*g**2? 464053620*g**2 What is the first derivative of -477555156*q**2 + 274315992 wrt q? -955110312*q Find the third derivative of 110667446*o**3 - o**2 + 31877487*o. 664004676 What is the derivative of -436508667*o + 16304917? -436508667 Find the second derivative of 878195402*s**3*x**4 - 13994*s**3*x - 30*s*x + 20*x - 4 wrt x. 10538344824*s**3*x**2 Find the third derivative of -27781270*b**3 - 1482272*b**2 + 13 wrt b. -166687620 What is the second derivative of -227*b**4*v - 14369*b**2*v**3 - 28*b*v**3 - b + 8*v**3 - 22*v + 4 wrt b? -2724*b**2*v - 28738*v**3 Find the second derivative of -202861943*g**2 + 2970312*g + 22 wrt g. -405723886 What is the second derivative of 462*r**3*v**2 - 62*r**3 + 34*r**2*v**2 + 7*r*v**2 - 2*r*v + 4*v**2 - 110352 wrt r? 2772*r*v**2 - 372*r + 68*v**2 What is the second derivative of 504*c*w**4 + 2*c*w**2 - 7*c*w - 48*w**3 + 2*w**2 + 535816*w wrt w? 6048*c*w**2 + 4*c - 288*w + 4 Differentiate 30959157*o + 51517094. 30959157 What is the derivative of 6403563*j + 867951? 6403563 Find the second derivative of 19*c**4 + 4767828*c**3 + 2*c + 193527962. 228*c**2 + 28606968*c Differentiate 8554*d*l + 1043597*d + 10637*l + 27 with respect to l. 8554*d + 10637 Find the third derivative of -66*c**5 + 26287*c**4 + 6*c**3 - 63374118*c**2 wrt c. -3960*c**2 + 630888*c + 36 Differentiate -56603540*j**4 - j**3 + 85241873 wrt j. -226414160*j**3 - 3*j**2 Find the second derivative of r**2*x**3 - 7*r**2*x - 498*r*x - 10*r - 27147602*x**2 - 2*x + 67 wrt x. 6*r**2*x - 54295204 What is the second derivative of -22088902*s**3 - 132075*s - 160? -132533412*s What is the third derivative of 81699*l**2*w**3 + 3135*l**2*w**2 - 890*l**2*w - 3*l*w**3 + l*w**2 + 3*w**3 wrt w? 490194*l**2 - 18*l + 18 Find the first derivative of 36502068*r**4 - 29607113 wrt r. 146008272*r**3 Find the third derivative of 498089923*y**3 + 66*y**2 + 269513. 2988539538 Find the second derivative of 3*r**5 + 159128*r**4 - 2*r**3 - 19112*r - 194. 60*r**3 + 1909536*r**2 - 12*r What is the first derivative of -158611053*j - 553203631? -158611053 What is the third derivative of -722878498*c**6 + 995668*c**2 - 214*c? -86745419760*c**3 What is the second derivative of 137839335*h**2 + 30634440*h? 275678670 What is the third derivative of 5563022*h**3*v - h**2*v + 94481*h*v + h - 2*v + 3 wrt h? 33378132*v What is the third derivative of 7577029*g**5 + 14*g**2 + 18*g - 3953? 454621740*g**2 Find the second derivative of -621760*j**3*p - 8*j**3 + j**2*p - 8*j**2 + 2*j*p - 188*j + 2*p - 11540 wrt j. -3730560*j*p - 48*j + 2*p - 16 Find the second derivative of -621*b**4 - 5*b**3*p**2 - 100*b**2 + 2*b*p**2 + 4*b*p - b - 2128*p**2 - 17*p - 2 wrt b. -7452*b**2 - 30*b*p**2 - 200 What is the second derivative of 28*n**5 - 56943*n**4 - 4562454*n? 560*n**3 - 683316*n**2 What is the first derivative of -24*r*v**2 - 22102*r*v - 1925753*r - 2 wrt v? -48*r*v - 22102*r What is the third derivative of 22*c**3*d**4 + 17*c**3*m + 2*c**2*m - 2*c*d**2*m + 295204*c*d*m - 17609656*d**4*m + d**2 wrt d? 528*c**3*d - 422631744*d*m Find the second derivative of 144*h*u*w**2 - 2*h*u*w + 23*h*u - 41111*h*w**2 - 18*h*w + u*w + 10*u + 197*w wrt w. 288*h*u - 82222*h What is the third derivative of 293180*b**3*y**3 - 428*b**3*y**2 - 2828*b**3 + 9*b**2*y**2 - b*y**3 - 32*y**3 wrt y? 1759080*b**3 - 6*b - 192 Find the second derivative of -u**2*v*z - u**2*z**2 + u**2*z - 2183156*u*v*z**2 + 2*u*v*z - 2*u*z + 3*u + 6669*v*z wrt z. -2*u**2 - 4366312*u*v What is the third derivative of 711578*a**3*o**3*y**3 + a**3*o*y**2 - a**2*o + o**3*y**3 + 392221*o*y**3 wrt a? 4269468*o**3*y**3 + 6*o*y**2 Find the third derivative of 200*k**5 - 988224*k**3 + 266507550*k**2 wrt k. 12000*k**2 - 5929344 What is the third derivative of 74563*m**2*r**3 - 14410*m**2*r - 61*m*r**3 - 552*m*r**2 wrt r? 447378*m**2 - 366*m What is the first derivative of -134362061*s + 53505869? -134362061 What is the second derivative of -3*a**2*k**2 + 46*a**2*k + 2834*a**2 - 2*a*k**2 + 22*a*k + 586406*k**4 wrt k? -6*a**2 - 4*a + 7036872*k**2 What is the third derivative of 13307792*o**3 + 7*o**2 + 29498*o wrt o? 79846752 What is the first derivative of -3182455*z**4 - 59861853 wrt z? -12729820*z**3 Differentiate -512*y**2 - 1543*y - 36705290 wrt y. -1024*y - 1543 Find the second derivative of -1260*i**3 + 1935*i**2 + 15085*i + 278 wrt i. -7560*i + 3870 Find the third derivative of 1847377*a**3*z**2 + a**2*z**2 - 2*a**2 - 205*a*z**2 + 9*a*z - 4 wrt a. 11084262*z**2 Find the third derivative of -430*a**3*c**2*j + 107*a**3*j + 165*a**3 - 13*a**2*c**2 + 312*a**2*c + 23*a*j - c*j - 14*j wrt a. -2580*c**2*j + 642*j + 990 What is the second derivative of 28993841*a**2 - 1359627*a wrt a? 57987682 What is the second derivative of 2965*q**2*s - 16349*q**2 - 81389273*q*s wrt q? 5930*s - 32698 Find the third derivative of -107299*x**6 + x**4 - 25*x**3 + 3*x**2 - 5*x + 31053 wrt x. -12875880*x**3 + 24*x - 150 Find the third derivative of 4*l**4 + 18184548*l**3 - 1077*l**2 - 3818*l - 17. 96*l + 109107288 What is the second derivative of -7903261*w**5 + 9678126*w wrt w? -158065220*w**3 What is the second derivative of -10051800*s**2 + 218566*s + 1? -20103600 Wha
{ "pile_set_name": "DM Mathematics" }
010303 What is 22120012212122 (base 3) in base 16? 457190 589d (base 15) to base 16 4987 What is 746745 (base 10) in base 15? eb3d0 Convert -12513240 (base 7) to base 11. -713371 Convert 3264005 (base 7) to base 16. 623a8 -12499380 (base 10) to base 8 -57534664 -1003033121 (base 4) to base 5 -32303132 What is -371644 (base 9) in base 12? -a99a1 What is -311140221 (base 6) in base 4? -110201012311 -5040144 (base 6) to base 16 -3a3c0 Convert 5a76 (base 12) to base 8. 23672 -85345 (base 10) to base 6 -1455041 -1857338 (base 10) to base 2 -111000101011100111010 What is -1057062 (base 8) in base 2? -1000101111000110010 Convert -999b0 (base 13) to base 10. -278486 182ac6 (base 16) to base 7 16314351 What is 13200221 (base 4) in base 13? 11003 Convert -1001001222201 (base 3) to base 10. -552574 What is 2441410 (base 6) in base 7? 1050624 10111100111110111 (base 2) to base 14 27395 -10120203320 (base 4) to base 8 -4304370 What is -1540064 (base 8) in base 5? -103124140 -ab6250 (base 12) to base 5 -1144232012 What is -5513623 (base 7) in base 14? -138513 1100112201121 (base 3) to base 9 1315647 Convert 10515565 (base 7) to base 3. 1201100000021 378b5 (base 14) to base 3 20220210211 -117721 (base 13) to base 2 -1100101101010111011 88dba (base 16) to base 14 10840a 40a43 (base 12) to base 2 10100100111010011 What is 205103320 (base 6) in base 15? 4b1ea6 What is 1c4a49 (base 13) in base 3? 1100210220201 What is 2565210 (base 7) in base 5? 41214214 What is -21212312 (base 4) in base 13? -14bac What is -3a122d (base 16) in base 3? -21011100111101 What is -331765 (base 8) in base 13? -3ba50 Convert 10010011101001100 (base 2) to base 8. 223514 What is -69584 (base 12) in base 8? -422764 Convert -11aa1b (base 12) to base 11. -187681 Convert -25757 (base 12) to base 4. -30133303 Convert -5531255 (base 7) to base 15. -d670e 1011303111 (base 4) to base 8 1056325 What is 6a169 (base 11) in base 13? 37194 Convert 3113214 (base 8) to base 13. 22b665 79203 (base 10) to base 6 1410403 Convert -1222423220 (base 5) to base 2. -1011001100110011111100 Convert 132810 (base 9) to base 11. 55818 What is -268292 (base 10) in base 3? -111122000202 Convert cc39 (base 15) to base 10. 43254 -33073673 (base 8) to base 13 -161b749 What is -63a25c (base 15) in base 9? -8827326 Convert -302ee (base 16) to base 13. -6baa5 Convert 4264 (base 16) to base 9. 25274 3929388 (base 11) to base 8 31754546 Convert -110101001111111001 (base 2) to base 4. -311033321 Convert -1111020323 (base 4) to base 11. -219009 What is 10003223 (base 9) in base 11? 2779329 Convert 38961c (base 14) to base 3. 10122220100221 1443403 (base 7) to base 6 4110021 Convert 213044041 (base 5) to base 4. 3131333113 Convert -475504 (base 8) to base 3. -22021002021 Convert 133433243 (base 5) to base 12. 29148a -5320362 (base 8) to base 6 -50214150 -5b512 (base 15) to base 11 -189a22 What is -33567233 (base 8) in base 7? -115536314 What is -97238 (base 12) in base 15? -3dea2 c2495 (base 14) to base 12 1a6597 3110834 (base 10) to base 14 5ad986 Convert 77681 (base 10) to base 15. 1803b What is -10655041 (base 7) in base 14? -1a5c58 What is -6655746 (base 8) in base 6? -102232530 Convert -540433323 (base 6) to base 16. -91c6b3 21418 (base 12) to base 13 16c1c Convert -1410450 (base 7) to base 12. -90619 -24e8c (base 16) to base 11 -a3647 Convert b25e8 (base 15) to base 8. 2117350 -12120011201212 (base 3) to base 4 -23101221332 Convert -1111001110000101 (base 2) to base 15. -13711 -127c1 (base 16) to base 4 -102133001 Convert 323302120 (base 4) to base 3. 110102220221 Convert b94b5 (base 12) to base 4. 323222021 -2121200222010 (base 3) to base 16 -153c15 What is -83ee (base 15) in base 8? -66373 565cc7 (base 15) to base 12 1468597 What is -169c5 (base 16) in base 15? -1c693 Convert -114313 (base 7) to base 4. -11010001 What is -53636 (base 11) in base 2? -10011000010001011 122554 (base 6) to base 12 645a What is 11111111100100101011011 (base 2) in base 6? 455255215 Convert -1049aa (base 13) to base 12. -164aba Convert 2874433 (base 9) to base 8. 6026527 Convert 4042122 (base 6) to base 15. 3be95 Convert -1012020201100 (base 3) to base 4. -2122332000 -1101010010000011 (base 2) to base 14 -15b7d -2116367 (base 10) to base 11 -1216070 What is -1a66d (base 14) in base 8? -203071 Convert 5153500 (base 6) to base 8. 745054 What is 13033002000 (base 4) in base 12? 775680 8b65d (base 14) to base 16 52b53 Convert -47039 (base 12) to base 2. -10111001101101101 What is 80264 (base 16) in base 2? 10000000001001100100 Convert 186355 (base 10) to base 15. 3a33a Convert 10000100101110001110 (base 2) to base 5. 114344010 What is 7355433 (base 9) in base 8? 17003526 What is -18d562d (base 14) in base 6? -1120343333 -1110001332 (base 4) to base 11 -215660 What is 5c162 (base 13) in base 14? 45a54 5508018 (base 9) to base 7 34100531 2876620 (base 9) to base 11 993710 What is -1f7f5 (base 16) in base 3? -20112222021 What is -8b026 (base 15) in base 14? -b71cd -5a4c50 (base 14) to base 3 -12210211010102 What is -213433433 (base 5) in base 8? -3407036 259312 (base 12) to base 3 1011100211112 What is 79503 (base 13) in base 10? 220548 4ad2e (base 15) to base 16 3a673 Convert 11000001010010001 (base 2) to base 15. 1e4c6 13103210 (base 5) to base 13 4668b 1442244 (base 5) to base 6 355141 What is -1001110000011001011000 (base 2) in base 8? -11603130 What is 30350222 (base 6) in base 12? 35b372 3c169 (base 13) to base 9 181041 What is -1ebc9 (base 15) in base 7? -566055 What is -2867181 (base 9) in base 7? -16300054 -4161 (base 10) to base 7 -15063 Convert -143251 (base 8) to base 12. -25521 11212102102 (base 3) to base 4 113120333 5d9a1d (base 15) to base 7 53100352 What is 6822704 (base 10) in base 2? 11010000001101100110000 What is 10010000000011000101 (base 2) in base 7? 5005115 Convert 38ec7 (base 15) to base 7. 1356142 What is 114233504 (base 7) in base 2? 11011000101101001101011 -51036 (base 14) to base 6 -4102104 What is 1211002200 (base 3) in base 7? 206232 Convert 211200233221 (base 4) to base 5. 10004132244 -2824233 (base 9) to base 8 -5726220 Convert -1014101102 (base 5) to base 4. -13333332003 What is 37087 (base 11) in base 5? 3201320 9ab48b (base 12) to base 10 2466539 1a51a (base 11) to base 14 a5b3 What is -1200111440 (base 5) in base 7? -32163405 What is -642f6 (base 16) in base 6? -12443450 What is -1292c4 (base 15) in base 7? -10402342 What is -5106 (base 12) in base 7? -34425 Convert -1130304 (base 6) to base 10. -58432 Convert -684c66 (base 13) to base 11. -1435670 Convert -423322 (base 6) to base 10. -34466 What is -358c25 (base 14) in base 16? -1bec01 28b8 (base 16) to base 2 10100010111000 -6572306 (base 9) to base 8 -15361405 What is 101332231110 (base 4) in base 13? c90447 Convert -4236740 (base 8) to base 14. -215b0c Convert -22a54 (base 15) to base 6. -2210441 Convert 346109 (base 11) to base 15. acda8 -17483 (base 15) to base 6 -1340253 Convert -2310444243 (base 5) to base 9. -10652360 -237928 (base 10) to base 7 -2010445 -262033 (base 9) to base 3 -22002001010 What is -10003302333 (base 4) in base 12? -433993 111b92 (base 15) to base 7 6635654 3243550 (base 9) to base 6 101153330 What is -4311782 (base 9) in base 7? -25433102 -51145 (base 14) to base 8 -575011 -2ea9bf (base 16) to base 8 -13524677 -110212111222202 (base 3) to base 8 -32057610 Convert 22d9b (base 14) to base 15. 1a2c0 -4031221 (base 5) to base 13 -23503 11010110110101001001 (base 2) to base 7 10323303 72899 (base 10) to base 5 4313044 3656673 (base 8) to base 3 1220011101121 What is 1a6cb (base 15) in base 3? 11100212002 4532501 (base 6) to base 15 4823a Convert 1151315 (base 6) to base 4. 32330333 What is -4788 (base 10) in base 2? -1001010110100 What is 3023433 (base 7) in base 2? 1010111101001010110 What is -2cba52 (base 15) in base 6? -114230222 Convert -101042042 (base 7) to base 6. -330145202 -454155 (base 8) to base 4 -211201231 -3e6bb6 (base 15) to base 6 -144302043 -6e795a (base 15) to base 13 -1133218 What is -1100111010010101010010 (base 2) in base 11? -1a01a42 What is -26a46 (base 14) in base 8? -272126 15224250 (base 8) to base 14 669880 Convert 3204261 (base 8) to base 2. 11010000100010110001 Convert -100110000111100100001 (base 2) to
{ "pile_set_name": "DM Mathematics" }
the greatest common divisor of i and b. 22 Let h(d) = -2*d**3 + 38*d**2 - 32*d - 21. Let i be h(18). What is the greatest common divisor of i and 6? 3 Let f(s) = 2*s**2 - 3*s - 8. Let m be f(6). Suppose -3*v + 4*l - 3*l = -65, 3*l = -v + 35. What is the highest common divisor of m and v? 23 Suppose 4*q + 6 = 3*q - 4*j, -46 = -5*q - j. Let h(d) = 41*d + 2834. Let x be h(-69). Calculate the greatest common factor of q and x. 5 Let g be 95 + (-1)/((-1)/1). Let x = 1578 + -1566. What is the greatest common divisor of x and g? 12 Suppose 4*r - 96 = -z, -137 = -5*r + 2*z + z. Suppose 0*c - 3*c + 675 = 0. Calculate the greatest common factor of r and c. 25 Let f = 7 + -4. Let r be (-2 + f + -2)*-35. Suppose 3*a + 2*a - r = 0. What is the highest common factor of a and 49? 7 Let p be (-315)/(-7) - 9 - (0 + 3). What is the highest common factor of 55 and p? 11 Let m(q) = -63*q - 144. Let n be m(-7). Calculate the greatest common divisor of 1089 and n. 99 Let l be (-1 - -775)/(30/(-20)). Let d be l/(-15) - (-6)/10. Let n = d + -20. What is the highest common factor of 165 and n? 15 Suppose 3*k + 3*h = -2*k + 115, 0 = -h. Let x(s) = -161*s**3 + s + 1. Let t be x(-1). What is the greatest common factor of t and k? 23 Suppose 3*d + 0*d = -5*s + 2, -d + 4 = 5*s. Suppose s = -t + 13. Suppose -4*l + 3*l = -t. What is the greatest common factor of 18 and l? 6 Let l(u) = 2*u**3 - 2*u**2 - u - 2. Let k = 7 - 5. Let x be l(k). Suppose j - 5 + x = 0. What is the highest common factor of j and 7? 1 Let a(p) = p**3 + 13*p**2 + 28*p + 212. Let s be a(-12). Calculate the greatest common divisor of s and 250. 10 Let b = 35 + 101. Calculate the highest common divisor of b and 17. 17 Suppose -a + 352 = 3*t, 4*a - 6*t + 11*t - 1387 = 0. Calculate the greatest common factor of 21 and a. 7 Let l(d) = -48*d + 408. Let f be l(8). Calculate the highest common divisor of 456 and f. 24 Suppose -3*g + 12 = 0, 0 = -4*j - g - g + 164. Let k(a) = -a**3 + 3*a**2 + 4*a + 1. Let p be k(3). Calculate the highest common factor of j and p. 13 Suppose -3*k = -4*t + 2, -4*k = 4*t - 1 + 13. Let i be -2 + (k - (3 - 28)). Let j = 22 - i. Calculate the highest common factor of j and 7. 1 Suppose 0 = -4*f + 20 - 4. Let l be (-1)/4 + 53/f. Suppose x + 2*b = 27 - 5, -54 = -2*x + b. Calculate the highest common factor of l and x. 13 Suppose -10*h + 38 = -592. What is the highest common factor of 18 and h? 9 Let s = -21 + 5. Let m = 19 + s. Calculate the highest common factor of 6 and m. 3 Let b(i) = -5*i - 35. Let h be b(-13). Suppose 5*a - 3*s - h = -8*s, 18 = 2*a - 4*s. What is the greatest common factor of 7 and a? 7 Let n be -28 + 25 + 3/(-2)*-302. Calculate the greatest common factor of 180 and n. 90 Let n = 113 + -47. Suppose -k - 2*m = -12, 4*k - n = 2*m - m. What is the highest common divisor of k and 80? 16 Suppose 27*o = 25*o + 156. Calculate the highest common divisor of o and 54. 6 Let d be 22/(-12) + (-3)/18 - -218. Calculate the greatest common factor of 24 and d. 24 Let o = 42 - 23. Let w = 0 - 0. Suppose p - o - 11 = w. Calculate the highest common divisor of 12 and p. 6 Let f be -18*(74/4 + 2). Let k = -87 - 62. Let y = k - f. Calculate the highest common divisor of y and 20. 20 Let a(g) = 4*g**2 + 10*g + 6. Let q be a(3). What is the highest common factor of q and 216? 72 Let i(x) = 6*x - 38. Let m be i(29). What is the highest common divisor of m and 34? 34 Let x(u) = 3*u**2 + 6*u. Let q be x(-5). Let m be q/6*16/3. Suppose 0 = 4*t + 2*n - 132 + m, 4*t + 4*n = 88. What is the greatest common divisor of t and 6? 6 Let g be -1038*(-5)/(12 - 7). Calculate the highest common divisor of 6 and g. 6 Suppose -8*u + 9 = -199. Suppose -4*b - 91 + 923 = 0. Calculate the greatest common factor of b and u. 26 Suppose -4*k + 16 = 0, 6*i + 28 = 8*i + 3*k. Suppose 9*u - 800 = 5*u. Calculate the highest common factor of i and u. 8 Suppose 0 = -8*k + 121 - 105. Suppose 3*i = 4*f + f + 121, 108 = 4*i + 4*f. Calculate the highest common factor of i and k. 2 Let n = 2003 + -1915. Calculate the greatest common divisor of 33 and n. 11 Let m(f) = -f**3 - 5*f**2 - f - 2. Let u be m(-5). Suppose 4*z = 5*p - 76, -u*p + 72 = 3*z + 21. Calculate the highest common divisor of p and 40. 8 Let i be (-2 - -1)*(-4 + 3) - -307. Calculate the greatest common divisor of 28 and i. 28 Let i(p) = -p**3 - 3*p**2 - 6*p - 4. Let y be i(-4). Let c = 305 - 197. Calculate the greatest common factor of y and c. 36 Let d = 310 + -307. What is the greatest common divisor of 5 and d? 1 Let h(w) = 13 + 6 - 7*w + 35. Let x be h(0). What is the greatest common factor of x and 27? 27 Suppose o = -m + 120, -3*m - 4*o + 5 = -353. Let z = -20 + m. Calculate the greatest common divisor of 68 and z. 34 Let l(c) = 25*c + 421. Let p be l(-14). What is the highest common divisor of 1 and p? 1 Let n(d) = -3*d + 5. Let r be n(-5). Suppose -3*u = -u - r. Calculate the greatest common divisor of 2 and u. 2 Let f(q) be the second derivative of 17*q**4/12 + q**3/2 + 2*q**2 - 3*q. Let j be f(-3). Suppose 40 - j = -2*m. Calculate the highest common divisor of 6 and m. 6 Suppose 0 = 630*f - 612*f - 2664. Let t(z) = -4*z**3 + z**2 - z - 1. Let i be t(-2). Calculate the highest common divisor of i and f. 37 Let s be (-7 - (-12)/4) + 16. Suppose -10*m + s = -8*m. Suppose -b + m - 2 = 0. Calculate the greatest common divisor of 6 and b. 2 Let b(c) = c**2 + 17*c + 18. Let m(s) = -s**2 - 16*s - 19. Let j(u) = -4*b(u) - 3*m(u). Let r be j(-5). Calculate the highest common divisor of r and 40. 20 Let u = -246 - -279. Calculate the greatest common divisor of u and 528. 33 Suppose -n - 5 = -6. Suppose 17 + n = -2*w. Let r = 23 + w. Calculate the highest common divisor of r and 126. 14 Suppose 3*m = 9, 4*q - 5*m - 64 = 161. Let a(u) = u**3 - 4*u**2 - 8*u + 6. Let w be a(6). Suppose 0 = -i + w. Calculate the greatest common divisor of q and i. 30 Suppose 12 = p + p. Let u be (p + (1 - 0) + -2)/1. Calculate the greatest common factor of 40 and u. 5 Let v = 141 - 107. Suppose -2*d + v + 46 = 0. Let o(m) = 9*m - 1. Let i be o(1). Calculate the greatest common divisor of i and d. 8 Suppose 115*l + 1225 = 122*l. What is the highest common divisor of l and 7? 7 Let l be 9/(-4)*(-928)/58. What is the greatest common divisor of l and 144? 36 Let m(x) be the third derivative of x**5/30 - 4*x**4/3 + 5*x**3/6 + 4*x**2. Let t be m(16). What is the highest common factor of 35 and t? 5 Let x = 1046 + -890. Calculate the highest common factor of x and 12. 12 Suppose 0 = 4*o - 2*d - 60, 0*o - 72 = -4*o - d. Let w = -2027 - -2044. What is the highest common factor of o and w? 17 Let d(z) = -3*z**2 + 6*z - 2. Let i be d(4). Let b = i - -37. Let h = 47 - 36. What is the highest common factor of b and h? 11 Suppose 2*d - 10 = 0, d + 2*d = -2*v + 147. What is the greatest common divisor of 110 and v? 22 Suppose -40 = -3*r - 1. Let m = r - 7. Suppose -63 = 3*b - 225. Calculate the greatest common factor of b and m. 6 Let x be (-8215)/159*(1 + -4). Suppose -5*h + 3*d - 4*d = -311, 5*h - 313 = -3*d. Calculate the greatest common divisor of h and x. 31 Let i be -4 - -1 - (-3)/((-3)/(-13)). Let o(f) = 0*f**2 - 8 - 2*f**2 + 3*f**2 - 7*f. Let k be o(i). Calculate the highest common divisor of 88 and k. 22 Let r be (-1 + -1)/(18/(-45)). Suppose -r*o + 0*i = 5*i - 145, -59 = -2*o - i. Calculate the greatest common divisor of o and 15. 15 Let a(u) = -2*u**3 - 5*u**2 - 10*u - 1. Let v be a(-3). What is the highest common factor of v and 26? 2 Let a be 12/(-21) + -764*4/(-56). What is the highest common divisor of 9 and a? 9 Suppose 3*v + 4*i - 954 = 171, 5*v + i - 1858 = 0. Let b = 93 + v. What is the greatest common divisor of b and 58? 58 Let p be -3 + 2 + 4 + 46. Let v = 50 - p. What is the highest common divisor of 1 and v? 1 Suppose 5*k + 35 = 2*w, -23 + 3 = 4*k. Suppose -269 = -5*c - 2*a, 6*c - c + w*a = 260. Let s be c/2 - 1/(-2). What is the greatest common divisor of 4 and s? 4 Let c = -286 - -303. What is the highest common factor of 68 and c? 17 Let l = 85 - 31. Suppose -49*n + 216 = -37*n. What is the greatest common factor of l and n? 18 Let y be 2*((-195)/(-156))/((-15)/(-18)). Let d be 2 + -2 + -2 + 29. What is the highest common divisor of y and d? 3 Let o = 65 - 79. Let
{ "pile_set_name": "DM Mathematics" }
s -67465 + -2? -67467 In base 10, what is -440107 + 1? -440106 In base 13, what is 46 - 148? -102 In base 10, what is -5407 + 49? -5358 In base 2, what is -1 - -1011000001000101? 1011000001000100 In base 16, what is -4 - -19d5? 19d1 In base 3, what is -2221 - -110212210? 110202212 In base 9, what is 10760 + 4? 10764 In base 4, what is 111131 + 120? 111311 In base 10, what is 10161 - 8? 10153 In base 10, what is -33538 - 2? -33540 In base 4, what is 1011311311 + -11? 1011311300 In base 2, what is -100011001 + -1100010000100? -1100110011101 In base 9, what is -31671 + 7? -31663 In base 9, what is -1020 - 1886? -3016 In base 13, what is -3a6 + -32? -408 In base 13, what is 1103 - -49a? 15a0 In base 12, what is 2 + 490a5? 490a7 In base 4, what is 122 + 30020? 30202 In base 2, what is 11011100110011111 - 11000? 11011100110000111 In base 11, what is 681 + -92? 59a In base 16, what is -4 + 26d4? 26d0 In base 14, what is 193d2 - 2? 193d0 In base 4, what is -2020 + 10103? 2023 In base 13, what is -8c674 + -1? -8c675 In base 8, what is -25 + -1164? -1211 In base 14, what is 326 + -9? 31b In base 12, what is 0 - -512b5? 512b5 In base 3, what is -1 - 21101101120? -21101101121 In base 16, what is -4c3d + -3b? -4c78 In base 5, what is -2 + -1131304? -1131311 In base 4, what is 1210 - -30? 1300 In base 5, what is 314 - 11431? -11112 In base 6, what is -101 + 43520? 43415 In base 15, what is 4 - 1963? -195e In base 9, what is -6526 - 2? -6528 In base 14, what is -120393 - -3? -120390 In base 16, what is -16 - -19c4? 19ae In base 4, what is -2122130121 - -13? -2122130102 In base 7, what is -143 + 24621? 24445 In base 6, what is -15100 + 21? -15035 In base 9, what is -10557 + -574? -11242 In base 4, what is 313213120 - -11? 313213131 In base 11, what is -3420 + -3? -3423 In base 3, what is -1012020022001 + 12? -1012020021212 In base 16, what is -1120 - -3? -111d In base 16, what is 3 + 4e1ee? 4e1f1 In base 13, what is -117 + 25? -c2 In base 16, what is -2ab01d + 1? -2ab01c In base 13, what is -36 + -1997? -1a00 In base 5, what is 10 + -12040? -12030 In base 2, what is 1000100001111111011 - -11? 1000100001111111110 In base 14, what is 38 - -b? 45 In base 9, what is 57 - -667? 735 In base 8, what is 5 + -63432? -63425 In base 13, what is 5cc1b - 5? 5cc16 In base 6, what is -33 - -105340? 105303 In base 6, what is 31254 + -4415? 22435 In base 15, what is 5 - 12a720? -12a71a In base 14, what is 0 + 9243b? 9243b In base 8, what is -4 + -332565? -332571 In base 3, what is 1212 - 10010022? -10001110 In base 4, what is 21 + 123020? 123101 In base 6, what is 22251301 - -10? 22251311 In base 6, what is 153554 + 5? 154003 In base 15, what is adc + -13? ac9 In base 8, what is 2 - -71476? 71500 In base 15, what is 14 + -13cb? -13b7 In base 14, what is -46 + -5d3? -639 In base 11, what is -76 - -1741? 1676 In base 8, what is -124766 - 1? -124767 In base 12, what is -31 + 5505? 5494 In base 8, what is 4 - -17631? 17635 In base 6, what is -33301 + -14? -33315 In base 10, what is -112693 + -8? -112701 In base 10, what is 6331 - -7? 6338 In base 3, what is 12 - 12022211022? -12022211010 In base 9, what is -4 - 38133? -38137 In base 3, what is 2001021110 + -20? 2001021020 In base 7, what is 1424 - 1226? 165 In base 10, what is 109 - -387? 496 In base 16, what is -b + -37f3? -37fe In base 7, what is 25633163 + -5? 25633155 In base 2, what is -11111 - 1000000010? -1000100001 In base 15, what is 1099 + 8? 10a2 In base 14, what is 2 - -2da09? 2da0b In base 13, what is 3 + 3c17? 3c1a In base 15, what is -10 + -1084? -1094 In base 6, what is -3 - -11032230? 11032223 In base 16, what is 3437 + 9? 3440 In base 7, what is -4015 + -15? -4033 In base 5, what is -121124 + 43? -121031 In base 9, what is -85 + 2163? 2067 In base 7, what is 140325 - 3? 140322 In base 14, what is b - -297a1? 297ac In base 6, what is -54 + -1114? -1212 In base 5, what is -124223001 - -10? -124222441 In base 9, what is -13 - -102208? 102185 In base 10, what is -1639 - 17? -1656 In base 12, what is -27 + -208a9? -20914 In base 11, what is -12866 + 3? -12863 In base 14, what is b6ad5 + -4? b6ad1 In base 14, what is -4645 + -1? -4646 In base 8, what is -13 + -3141? -3154 In base 6, what is 0 + 3130020? 3130020 In base 6, what is 413 - -21242? 22055 In base 16, what is 116bc + -3? 116b9 In base 11, what is 104 + 12704? 12808 In base 2, what is 1111110110101 + 101? 1111110111010 In base 3, what is 10001 - 122? 2102 In base 7, what is 2605 + 1440? 4345 In base 15, what is 0 + 4a29? 4a29 In base 8, what is -33 + 2271? 2236 In base 12, what is -72333 + 3? -72330 In base 9, what is 6 + -58157? -58151 In base 12, what is -4 + 1a99? 1a95 In base 4, what is -1010 + -33100? -100110 In base 13, what is 3c37 + -c? 3c28 In base 8, what is 4 - 3050704? -3050700 In base 15, what is 26947 - 5? 26942 In base 12, what is 2 + -1624? -1622 In base 7, what is -202 + -12? -214 In base 10, what is 14689 - 6? 14683 In base 14, what is 0 + -176028? -176028 In base 2, what is 1 - -100010010? 100010011 In base 8, what is -265417 + -5? -265424 In base 4, what is 30 + 2302103? 2302133 In base 2, what is -101001110100101110 + -11? -101001110100110001 In base 16, what is 15e30 - 16? 15e1a In base 14, what is 188 + -203? -59 In base 10, what is -17 - -128? 111 In base 8, what is 106 - -5642? 5750 In base 15, what is -1b741 - 5? -1b746 In base 9, what is -453 + 236? -216 In base 7, what is -3041 + 36? -3002 In base 5, what is -10 - -320123? 320113 In base 7, what is -12100 + -11? -12111 In base 3, what is -2101120020 - 1? -2101120021 In base 9, what is 108 - 1082? -873 In base 2, what is -10001 + -101011111111? -101100010000 In base 13, what is a0 - -1? a1 In base 2, what is -10111011010 - -11000? -10111000010 In base 7, what is -1 + -31603? -31604 In base 7, what is -524352 - 4? -524356 In base 2, what is 10001110110 - -1100001010? 11110000000 In base 5, what is -3104 + 210011? 201402 In base 10, what is -12 + 294? 282 In base 7, what is 103 - 33252? -33146 In base 9, what is -78 - 70478? -70567 In base 5, what is 214313 - -312? 220130 In base 12, what is 27 - a57? -a30 In base 7, what is -1 - 50135? -50136 In base 13, what is -499b + 25? -4976 In base 13, what is 8182 - 0? 8182 In base 4, what is 1 - -112333103? 112333110 In base 15, what is -ba3c96 - 3? -ba3c99 In base 9, what is 415565 - -5? 415571 In base 7, what is 1326 + -11653? -10324 In base 16, what is 11 + 1fac? 1fbd In base 11, what is -557 + 15? -542 In base 14, what is -1 - -7086? 7085 In base 9, what is -21 - 78? -110 In base 13, what is 12543 - -3? 12546 In base 7, what is 5 - 1236140? -1236132 In base 13, what is -9bc3 + 7? -9bb9 In base 6, what is 3 - -2322333? 2322340 In base 4, what is -31003032 + 11? -31003021 In base 14, what is -61 - -2c? -33 In base 13, what is -8c004 - -5? -8bccc In base 8, what is 17 + -152222? -152203 In base 3, what is -2020 + 21220? 12200 In base 15, what is 13 + -2c4e7? -2c4d4 In base 12, what is 44a + 393? 821 In base 3, what is 1220100022 - 10100? 1220012222 In base 2, what is 101011110000011 + 1110? 101011110010001 In base 7, what is 261 + -5230? -4636 In base 3, what is -10212 + 1021110? 1010121 In base 11, what is 1 + 3096a3? 3096a4 In base 11, what is 317a1 - 14? 31788 In base 6, what is 1232222 + 15? 1232241 In base 5, what is 10203402 + -120? 10203232 In base 16, what is 4 - -1029? 102d In base 5, what is -114 + -111143? -111312 In base 4, what is 3301 + 21202? 31103 In base 4, what is -1 - 20321123? -20321130 In base 11, what is 62 - -1a21? 1a83 In base 5, what is 303311 + -302? 303004 In base 6, what is -5 + 150044? 150035 In base 3, what is 1110220011 - -10? 1110220021 In base 15, what is 550697 + -3? 550694 In base 3, what is 12 + 2202122201? 2202122220 In base 6, what is 12 - -242104? 242120 In base 4, what is 22130330113 - 10? 22130330103 In base 2, what is -11 - -101011100000110101? 101011100000110010 In base 10, what is -4 + 10290? 10286 In base 5, what is -10 + 323032333? 323032323 In base 13, what is 2348 - -1? 2349 In base 13, what is -2 + -113a5? -113a7 In base 7, what is 3 - -2104222? 2104225 In base 8, what is -6 - 12211? -12217 In base 14, what is 6 - -126149? 126151 In base 15, what is -3780 + e? -3771 In base 11, what is 4
{ "pile_set_name": "DM Mathematics" }
+ d*t - 2, 2*u + t = 0 for u. -2 Let y be (0 - (-30)/(-9))/((-5)/6). Solve 4*z = 5*r - y, -6 - 6 = -3*z for r. 4 Suppose 11 + 13 = 12*o. Let g = 47 - 43. Solve m - 2 = n - 1, g = -5*m + o*n for m. -2 Let m be (-39)/(-6) + 6/12. Suppose -m = -2*l - 1. Solve 5*s - l*x + 16 = 0, 4*s + 10 = 2*x - 2 for s. -2 Let i(w) = -21*w + 2. Let v be i(-2). Let m be v/(-88)*((-8)/2 - 0). Solve c + 18 = 5*o - 0*c, -m*c = 5*o - 9 for o. 3 Let j = 39 + -34. Solve -q = 5*u + 2*q - 30, q - j = 0 for u. 3 Suppose -19 = -3*h - 7. Suppose h*s - 36 = -5*b, -b - s - 2 + 10 = 0. Solve -3*f - 2*a - 5 = 5, -3*f + 2 = -b*a for f. -2 Let a = 1465 + -1455. Solve 3*r = -2*o - a, -3*o - r = -2*o + 3 for o. 1 Let d(f) = 17*f + 89. Let w be d(-5). Solve w*j = 5*t + 25, -j - 25 = -6*j for t. -1 Let y = 48 + -13. Suppose -z + 6*z = -5*h + y, -3*z + 14 = 2*h. Solve -2*r + 12 = -2*x, -2*r - x + h = 1 for r. 4 Suppose -6 = -2*u + 21*v - 18*v, 2*u - 4*v - 8 = 0. Solve -b - 8 = -4*a + 2*b, u = 4*a - 5*b - 16 for a. -1 Let v = -18 - -21. Let s(x) = x**3 - 2*x**2 - 2*x + 2. Let a be s(v). Let t be 2/(-3 + 5) - 1. Solve -a*f + 16 = i, -i = -4*f - t*i + 11 for f. 3 Suppose -19*t - 20*t = 0. Solve -k = 5*h + 23, t*h = 5*k + 2*h for k. 2 Let v = -204 + 207. Solve 0 = 3*g - 4*f + v - 6, -4*g = 2*f - 4 for g. 1 Let p(x) = 12 - x**2 - 6*x**2 + 0*x**3 - 5*x**3 + 4*x**3 + 9*x. Let l be p(-8). Solve -4*k = 2*n - l - 0, -3*n - 24 = -4*k for n. -4 Let k = -241 + 243. Solve j = 5*j - r + 17, 0 = k*j + r + 13 for j. -5 Suppose -4*r - 14 - 58 = 0. Suppose i + 2*q - 53 = 6*q, -3*q = -i + 49. Let g = r + i. Solve -d - 2*d = 4*v + g, 3*v - 2*d + 10 = 0 for v. -4 Let l(k) = -4*k - 15. Let w be l(-4). Let d be 1 - -4 - w - -1. Solve -2*p - n = 9 - 0, -d*n + 7 = -3*p for p. -4 Let p(v) = -v**3 + 4*v**2 + v - 1. Let c be (4/(-7))/((-15)/105). Let k be p(c). Solve -18 = 3*g + 4*r, 3*g - k*r - 3 = -0*r for g. -2 Let b = -1233 + 1236. Solve -4*m + 3*r + 5 = 0, 4*r = m - r + b for m. 2 Let y(i) = -2*i**2 + 7*i + 4. Suppose o - 8 = -n - o, -14 = -2*n - 2*o. Let v be y(n). Let w = -24 - v. Solve 0 = c + 4*z - 2, w*c - c = -2*z for c. -2 Let d be (-1*5)/((-2)/(7 + -5)). Solve 2*v = -5*q + 11, -d*v + 1 + 18 = 4*q for v. 3 Let w(m) = 9*m**3 - m**2 + 2*m. Let u(g) = -g**3 - 2*g**2 - g - 1. Let j be u(-2). Let y be w(j). Solve p - 5 = 4*d, -8*d = -2*p - 3*d + y for p. 5 Let u(w) = 2*w**2 + 25*w. Let g be u(-13). Solve -12 + 4 = 3*v + 4*z, -3*v - g = -z for v. -4 Let q be (1 - 0)/(1/4). Suppose 3*r + 0*r - 41 = q*g, 4*r + 4*g - 64 = 0. Let h = 664 + -659. Solve n + 0 = -3*f - 1, -h*n = 5*f + r for n. -4 Let a be 2/8*-1*(-3 - 1). Solve -3*b = 4*t - a, -4*t + 6*b + 36 = 2*b for t. 4 Suppose 2*a = 7*a. Solve 0 = -4*r + i + 3, a = 2*r - 0*r - 2*i for r. 1 Suppose 4*u = 13*h - 14*h - 3, 0 = 5*u + 4*h + 12. Suppose -5*r = -w - 10, -2*r = 2*w - 2 - 14. Solve -3*y + 7*y + 5*i - 25 = u, -5*i = -w for y. 5 Let q = 998 - 996. Solve -4*c = -5*s - 7, -c + 8 = q*s + 3*s for s. 1 Let n = -5 - -20. Suppose -7*q + 4*q = -n. Solve q*s = -w - 23, -4*s - s - 2*w = 26 for s. -4 Let f(k) = 2*k**2 + 18*k + 38. Let w be f(-6). Solve 6*u = w*u - 3*s + 1, -3*u + s + 4 = 0 for u. 1 Suppose -3*t + 3 = -0*t. Let s be (-1 - -3) + t + 17. Suppose -k + 22 = 6*b - b, 0 = 3*b + 4*k - s. Solve 5*w - b*u = -29, -5*w - u = -4*u + 28 for w. -5 Let a(q) be the third derivative of q**4/12 + 10*q**3/3 - 19*q**2. Let u be a(-7). Solve u*i - 6 = 3*i + 3*h, i - 3*h = 6 for i. 0 Let k = 11951 + -11944. Suppose -2 = -2*d - 16. Let u = d - -22. Solve -3*n + o + k = -4, -o - u = -4*n for n. 4 Let t be 30/(-9)*(-12)/8. Suppose 2*n = 2*y - n - 1, 3*n - 13 = -t*y. Suppose y = -2*q + 8. Solve -11 = -5*j + 2*c + c, -j = q*c - 13 for j. 4 Let y(a) = -a**3 - 2*a + 0*a - a - 1 + 5*a**2. Let u be y(4). Suppose 6*x = 19*x - 100 + 35. Solve -5*d - 3*s = -u - 10, 0 = -x*d + 3*s + 37 for d. 5 Suppose 14*w - 13*w + 32 = 4*z, -z = -w - 5. Solve 6*s - 3*s - 5*r + 1 = 0, -r = -5*s - z for s. -2 Let b = -163 + 169. Solve 15*q - 2*s = 12*q - 15, s - b = q for q. -3 Let g = -24 + 44. Suppose -4*w + 9*w - g = 0. Suppose 23 = 10*s - 17. Solve -s*j - 12 = -w*c, -2*c - 1 = j - 4*c for j. -5 Suppose 0 = -0*a + 3*a + o - 7, -3*o = -2*a + 12. Let n be (0 + a - 11) + 0. Let p be ((-2)/(-3))/(n/(-36)). Solve s = -i - s, -s + p = -i for i. -2 Suppose -3 = 4*q - 5*y - 41, y = -2*q + 26. Solve 7*t = -4*j + 3*t + q, -3*j = -3*t - 9 for j. 3 Let d(v) = v**2 - 9*v + 10. Let a be d(7). Let h be 3 + a - (2 + -8). Solve -2*q = -h*q - 3*u - 6, -u = -3*q - 14 for q. -4 Let a = 16 + -14. Solve -4*s + a*f + 10 = 0, -2*s + 3*f = s - 15 for s. 0 Let r(l) = -l - 1. Let s(d) = -d**3 + 20*d**2 + 18*d + 38. Let v(x) = r(x) - s(x). Let o be v(21). Solve o*i = 3*h + 3 + 6, 4*h + 18 = i for h. -5 Suppose 6 = 7*w + 6. Solve -3*c + 14 = -5*s - w, -2*s - c - 10 = 0 for s. -4 Suppose -x + 6*x = 0. Suppose -4*o + y = -x*y - 13, -8 = -2*o + 2*y. Let i = o - -13. Solve 0 = -4*s + i, 2*s + 1 = 3*v + 18 for v. -3 Let u = 127 - 109. Suppose -5*q + 13 = 3*p - 6*q, -2*q = 5*p - u. Solve p*n - i = -21, 6 = 4*n + 4*i + 2 for n. -4 Let y = -163 + 181. Let j = 2 - 0. Let w be 0/(1*(j + -4)). Solve 2*o + 4*p - y = 0, -5*o + w*o = -3*p + 7 for o. 1 Suppose d + d - 3*d = 0. Suppose d = 3*n + n - 16. Solve n*o = 4*k - 10 - 2, -4*o = -k + 6 for o. -1 Suppose p - 4*l - 2 = 22, 5*l + 25 = 0. Solve -2*w - 5*q = 2*w - 16, 0 = p*q for w. 4 Let r(j) = -2*j**2 - 132*j - 374. Let g be r(-63). Solve -4*x - 6 = 2*h + g, h = -1 for x. -2 Let y(g) = g + 2. Let d be y(1). Let z be d + -5 + 8 + 19. Solve -4*p - z = -n, 0 = -p - 0*p - 2*n + 5 for p. -5 Let h be 5*18/(-15)*-16. Let k be (1/4)/(12/h). Solve -2*c - b + 3 = 0, -3*c + k*c - 5*b = -24 for c. -1 Let a(j) = -j**3 + 14*j**2 + 16*j - 13. Let n be a(15). Suppose -n*p + 17 = 13. Solve -i = -5*s - 3*i - 2, 0 = -4*s - p*i for s. -2 Let x(h) = -h**3 - 5*h**2 - 4*h. Let t be x(-4). Solve -3*z + 12 = 2*o + z, -3*o + 5*z - 26 = t for o. -2 Let y be -51*(28/12 + -1). Let q = y - -108. Solve -5*o - 5*f - q = 0, 0 = -4*o - 2*f - f - 29 for o. -5 Let b = 10 + 0. Let s be (-5)/(-10) - b/(-4). Suppose -w + 3*x + 0 - 11 = 0, s*w + 5*x = 37. Solve 2*t - 5*j = 39 - w, -10 = 2*t + 4*j for t. 5 Suppose -6 = -4*j - 2*d, -2*j + 6 = -0*j + 4*d. Let u(z) = -z**3 + 5*z**2. Let k be u(5). Solve -4*f - 4*h + 4 = -8*h, k = -2*f + 3*h - j for f. 4 Suppose 31*t - 60 = 27*t. Solve 3*w = -5*q - t, 0*q - 6 = -5*w + 2*q for w. 0 Let h = -466 + 473. Solve h = -4*l + 3*b, 5*b = 3*l - 5*l + 3 for l. -1 Let g(u) = -u**3 - 32*u**2 + 107*u + 72. Let a be g(-35). Solve -6*z = a*t - 3*z - 4, -4*t + 10 = 5*z for t. 5 Suppose 0*d - d - 25 = 0. Let i = 30 + d. Solve 2*p + i*f = -14, 5*p - 2*f + 4*f + 14 = 0 for p. -2 Let n be (54/36)/((-3)/(-8)). Let d be n + 1 + 1 - -4. Suppose -d = -4*s - s. Solve -s*q + 9 = o, -5*o - 1 - 6 = -3*q for q. 4 Let q = 8 - 5. Suppose 3*c - 23 = -4*s, -c + 4 = c - q*s. Suppose -4*b + 4*j + 10 = 2*j, 4*b - 17 = -c*j. Solve -a - b = -2*o, 0 = o + 3*a - 0*a - 12 for o. 3 Let l = -558 - -558. Solve 3*t + k + 8 = l, t = -7*k + 8*k - 8 for t. -4 Suppose 0 = -5*j + 7*j - 6. Suppose -4*m - 1 = -w, -2*w + 3 = -j*m + w. Suppose m*v - 4 = -v. Solve v*x + 8 = 7*s - 3*s, 0 = -4*s - 3*x + 22 for s. 4 Suppose -3*u - 15 = -3*q, 3*q = u + 93 - 78. Solve -q*t + 0 + 4 = 3*r, -r = -2*t - 5 for t. -1 Let p(d) = 4*d. Let z be p(1). Let r(w) = -2*w**3 - 2*w**2 + 4*w - 3. Let u be r(2). Let y = 34 + u. Solve -5*f + 19 = 3*i, 3*i + z*f = -1 + y for i. -2 Let p = 24 + -22. Let l = p + -1. Let a(b) = 2*b. Let u be a(l). Solve f - 2*i = -14, -2*f - u*i + 0 + 2 = 0 for f. -4 Suppose 20 = -5*s - 5*l, -4*l - 1 - 1 = -3*s. Let r(u) = -4*u**3 - u**2 - 2. Let b be r(s). Let n = b + -24. Solve 0 = -n*x - 2*c + 2 + 6, -4 = -x - 2*c for x. 4 Let l be ((-20)/3 - -2)*-6. Suppose 42*f - 38*f = 16. Solve -f*c - 3*j + 7*j = -l, 0 = 3*c + 3*j - 9 for c. 5 Let m(l) = -l**3 - 4*l**2 + 5*l + 2. Let w be m(-5). Suppose w*q - 98 = -52. Solve -4*f - q = 5*g, -3*f = -8*f + 4*g + 2 for f. -2 Let f(b) = -17*b**2 - 19*b - 8. Let w(d) = -9*d**2 - 10*d - 4. Let j(n) = -6*f(n) + 11*w(n). Let v be j(-1). Solve 0 = -5*r + v*z - 6*z, 0 = -z - 5 for r. 3 Suppose 5*z - 10 = 20. Let k be z/(2 - 0/(-1)). Solve -2*t + 2*b - 4 = 0, -2*t = -3*b + 6 - k for t. -3 Suppose
{ "pile_set_name": "DM Mathematics" }
40d9a8c? -40d9a8c In base 10, what is 10683 + 5821? 16504 In base 5, what is -400241133 + -322? -400242010 In base 13, what is -1b9b42 + 87? -1b9a88 In base 13, what is 27 + 47826? 47850 In base 7, what is -62345144 + -5? -62345152 In base 11, what is -1777 + -41a37? -43703 In base 12, what is 190 - 49? 143 In base 4, what is 1213 - -112023112? 112030331 In base 7, what is 340100131 + 1? 340100132 In base 10, what is 137 + 98424? 98561 In base 15, what is -1aed4c1 - 0? -1aed4c1 In base 15, what is -1ddd831 - 4? -1ddd835 In base 8, what is 5 - 40554422? -40554415 In base 6, what is -40040232233 + 3? -40040232230 In base 15, what is 2031c3b + -c? 2031c2e In base 4, what is -100122120200 - 13023? -100122133223 In base 12, what is 16 - -2a1b051? 2a1b067 In base 11, what is 6400 + 894? 7194 In base 6, what is 11252 + -331031? -315335 In base 8, what is -17043 - 27600? -46643 In base 12, what is -4493b - -24b8? -42443 In base 13, what is 1061459 - -13? 106146c In base 8, what is 5 - -2265730? 2265735 In base 6, what is 102002430 + -425? 102002001 In base 2, what is 10010100011100111000110101 - -11? 10010100011100111000111000 In base 16, what is 193 + -f932d? -f919a In base 6, what is 24035253222 + -1? 24035253221 In base 8, what is -3240044 + 20? -3240024 In base 7, what is -1110344463 - 1? -1110344464 In base 8, what is -1476237 + 2? -1476235 In base 8, what is -67337062 - -3? -67337057 In base 3, what is 1122202000222111 + 1? 1122202000222112 In base 14, what is -2d3d823 - -a? -2d3d817 In base 12, what is 4 - -221ba136? 221ba13a In base 8, what is 0 - 4104464? -4104464 In base 15, what is 976d5 + 68? 9774d In base 15, what is 25 + -4446a? -44445 In base 3, what is -12020 - 110002100100? -110002112120 In base 12, what is 2967 - a43? 1b24 In base 6, what is 45 - -15041423? 15041512 In base 14, what is 118d09c - 8? 118d094 In base 16, what is 8e63c9 - 2? 8e63c7 In base 5, what is 142012 + 4102344? 4244411 In base 13, what is 87b1382 - 4? 87b137b In base 8, what is -162 - 16465? -16647 In base 2, what is 10 - 1110000011101010110010110110? -1110000011101010110010110100 In base 16, what is 10 + -138e11? -138e01 In base 5, what is 1313303 + -10411? 1302342 In base 10, what is -4 - 50031? -50035 In base 11, what is 5 - 1174652? -1174648 In base 5, what is 3 - 22133342031? -22133342023 In base 9, what is -206460225 - 4? -206460230 In base 15, what is -3 - -3968b6? 3968b3 In base 3, what is 1020012001212 - 11? 1020012001201 In base 5, what is 31130 + -12210023? -12123343 In base 4, what is -1 + 100220301321? 100220301320 In base 16, what is -1b7d8 + -6? -1b7de In base 3, what is 12010001111202 - 100? 12010001111102 In base 8, what is -10010 - -5320? -2470 In base 5, what is -224121304324 - 11? -224121304340 In base 4, what is 10 + 113303003032? 113303003102 In base 9, what is 388 + -128204? -127705 In base 5, what is 10 - -400410324? 400410334 In base 7, what is 62 - 120545145? -120545053 In base 13, what is 2 + 17cc82b? 17cc830 In base 5, what is -1202212 + -1041322? -2244034 In base 13, what is -106a6c10 + -3? -106a6c13 In base 16, what is -313b6 + -498? -3184e In base 7, what is 6 - 142363645? -142363636 In base 6, what is 442032 + 11143? 453215 In base 11, what is 471 + -37814? -37353 In base 2, what is -1001101110110000110010 - 10111? -1001101110110001001001 In base 16, what is -22 - -12ded? 12dcb In base 9, what is -5 - -671486322? 671486316 In base 10, what is -4 + -70426288? -70426292 In base 15, what is -6c8 - -31e? -3a9 In base 3, what is 12 - 11021001200022? -11021001200010 In base 5, what is -344300 + 11113? -333132 In base 14, what is -67221 - 13? -67234 In base 15, what is -234 - -4e9a? 4c66 In base 12, what is -b3355 + 7bb? -b2756 In base 16, what is 1 + f769d3? f769d4 In base 13, what is -2 + -23a9477a? -23a9477c In base 5, what is -114110400 - -120? -114110230 In base 9, what is -23158266 - 11? -23158277 In base 15, what is 2 + -161ae67? -161ae65 In base 16, what is -217771 + a? -217767 In base 15, what is -425 + -10a3? -14c8 In base 7, what is -430230 + -2235? -432465 In base 3, what is 100212201020 - 10012112? 100202111201 In base 11, what is -24 - -4530661? 4530638 In base 13, what is -49 + 125846? 1257ca In base 11, what is 335 - 26353? -26019 In base 9, what is 21862 + 1154? 23126 In base 12, what is 57b104 - -1? 57b105 In base 16, what is -10ed + -e939? -fa26 In base 7, what is -12 - 31554021? -31554033 In base 12, what is -1989b + a8b? -18a10 In base 15, what is -93a - 7ea? -1235 In base 3, what is 1212011102221110 + -12? 1212011102221021 In base 13, what is 169 + -24a0a? -24871 In base 11, what is 19814 - -1351? 20065 In base 2, what is -111010000 + 10110101000101111001? 10110100111110101001 In base 16, what is -a30 - 74b6? -7ee6 In base 5, what is 13240330 - 14144? 13221131 In base 11, what is a199680 - 3? a199678 In base 3, what is -1020120021110 - 20? -1020120021200 In base 15, what is -123 + 10a1a? 108e7 In base 4, what is 3021120233222 + -3? 3021120233213 In base 13, what is 43 + 2405? 2448 In base 15, what is -3d + 9a23? 99d5 In base 6, what is 4 - 353010113? -353010105 In base 9, what is 5842617 + 3? 5842621 In base 15, what is -1296 - -68e? -b07 In base 10, what is 2 - 6106284? -6106282 In base 16, what is 1 - 1b6b46? -1b6b45 In base 16, what is 12923d - -31? 12926e In base 12, what is 1276 - -14a92b? 14bba5 In base 7, what is 5 - -35616433? 35616441 In base 11, what is -11 - -812465? 812454 In base 14, what is 4262955 - -7? 426295c In base 10, what is -526 + 517320? 516794 In base 16, what is 1 + -219652? -219651 In base 7, what is 153454441 - 3? 153454435 In base 16, what is -3336 - 174c? -4a82 In base 9, what is 1761124 - 53? 1761061 In base 5, what is -11203110412 + 4? -11203110403 In base 11, what is 208 + 497886? 497a93 In base 10, what is -453 + -10098? -10551 In base 8, what is 271035740 + 12? 271035752 In base 4, what is -11220232100202 - -1? -11220232100201 In base 11, what is 3 + 63449246? 63449249 In base 2, what is -10000110011010001010 + 1101011? -10000110011000011111 In base 9, what is -583 + 5104? 4411 In base 14, what is -49 + 2912? 28a7 In base 9, what is -160816 - -1411? -158405 In base 6, what is -22051132023 + -20? -22051132043 In base 13, what is 2 + -112b2a6? -112b2a4 In base 14, what is 2a + -15ca7b4? -15ca788 In base 8, what is -22073327 - 67? -22073416 In base 14, what is -7d527 - -bdb? -7c72a In base 13, what is -135775 + -475? -135c1a In base 2, what is 100111010001100110111 + -1110? 100111010001100101001 In base 9, what is -28 - -7667873? 7667844 In base 2, what is 111010 + 11011011111010? 11011100110100 In base 3, what is -1112220 + 2002221112? 2001101122 In base 7, what is 22310 - 255552? -233242 In base 15, what is 60 - d84dd? -d847d In base 6, what is 101 - 115303200? -115303055 In base 8, what is 737545 - -17? 737564 In base 15, what is 74 + -51490? -5141b In base 9, what is -6123 - -10? -6113 In base 7, what is -650625 - -542? -650053 In base 7, what is 351242342 + -25? 351242314 In base 8, what is -466211 - 156? -466367 In base 10, what is -5741 + -28977? -34718 In base 13, what is -121a7 - -1b80? -10327 In base 15, what is -9c12 + -169? -9d7b In base 3, what is 101011 + 1001101121? 1001202202 In base 3, what is -211 - 100112020111021? -100112020112002 In base 10, what is -134259 + -2377? -136636 In base 8, what is 24006003 + -2? 24006001 In base 11, what is 47909 + -482? 47437 In base 13, what is 3a32a592 + 3? 3a32a595 In base 10, what is 34155 + 591? 34746 In base 9, what is -653703445 + -2? -653703447 In base 3, what is 22221 + 21022220000? 21100012221 In base 12, what is -843 + -228a? -2b11 In base 2, what is 0 - -111100001110110110110000111? 111100001110110110110000111 In base 16, what is -61 + -11fab? -1200c In base 9, what is 75201365 - -3? 75201368 In base 15, what is 4bb2a9b - -3? 4bb2a9e In base 9, what is -417 + -66741? -67258 In base 7, what is -2102401 - 0? -2102401 In base 4, what is -11 + 13210330022001? 13210330021330 In base 8, what is -32 - 3146333? -3146365 In base 4, what is 10013233103220 - -10? 10013233103230 In base 2, what is -101011110001011000010010 + 1001? -101011110001011000001001 In base 7, what is 1234 - 253400? -252133 In base 6, what is -5155315 + -35?
{ "pile_set_name": "DM Mathematics" }
479446578*z**2 Let i(n) = -n**3 + 25*n**2 - n + 42. Let k be i(25). Let f(v) = 17 - 11*v**2 - k + 28*v**2. Let t(u) = -4*u. Determine t(f(p)). -68*p**2 Let f(t) = -46*t. Let l(y) = -10185659*y**2. Determine f(l(a)). 468540314*a**2 Let q(s) = -2522841*s. Let w(x) = 4*x. Give w(q(z)). -10091364*z Suppose 8*u = 10*u - 4. Let t(r) = -3*r**u - 19 + 15 + 4. Let o(w) = w**2 + 4. Give o(t(d)). 9*d**4 + 4 Let k(m) = 2*m. Let a(h) = -h**2 - 11*h + 1. Let x(p) = -10590*p**2 - 128139*p + 11649. Let t(c) = 11649*a(c) - x(c). What is k(t(v))? -2118*v**2 Let t(s) = -2*s**2 - s + 5. Let f(p) = 32*p**2 - 5*p + 25. Let o(v) = f(v) - 5*t(v). Let y(i) = 23*i**2. Determine o(y(x)). 22218*x**4 Let k(y) = 31*y**2 - 91*y**2 + 52*y**2. Let s(v) = 1274*v. What is s(k(h))? -10192*h**2 Let j(i) = -1770*i + 84. Let m(c) = 2*c. Calculate m(j(b)). -3540*b + 168 Let p be (-2)/6*(-6)/(-2). Let a(o) = -19 + 30 - 15 + 5. Let i(h) = 10*h**2 + 4. Let z(q) = p*i(q) + 3*a(q). Let u(k) = -2*k. Determine z(u(y)). -40*y**2 - 1 Let k(q) = -12*q**2. Let x be (-60116)/(-196) - (-4)/14. Let s(d) = -154*d + x*d - 152*d. Calculate k(s(y)). -12*y**2 Let g(u) = u + 2. Let c be g(-12). Let n be 18/45 - 16846/c. Let s(b) = 2*b**2 + 1685 - n. Let r(y) = -3*y**2. Calculate r(s(i)). -12*i**4 Let j = -776 - -779. Let g(d) = j*d + 5*d + 5*d + 5*d + 1. Let n(b) = 3*b. Give n(g(y)). 54*y + 3 Let a(n) = 2*n**2. Let w be (-2)/(-8) - (6375/20)/(-25). Let d(j) = -5*j - 3*j + w*j - 6*j. Calculate d(a(c)). -2*c**2 Let o(g) = -1122094445*g**2. Let m(f) = 2*f**2. Calculate m(o(j)). 2518191886999716050*j**4 Let i(y) = 44*y + 33*y + 37*y - 116*y. Let m(l) = -519*l. Determine m(i(b)). 1038*b Let f(r) = 6*r - 5. Let m(z) = 5*z - 4. Let p(j) = 4*f(j) - 5*m(j). Let o(u) = 24*u + 8. Let n(i) = -385*i - 132. Let y(q) = -2*n(q) - 33*o(q). What is p(y(d))? 22*d Let u(w) = w**2 - 3*w. Let t(l) be the second derivative of l**5/60 - l**3/2 - 15*l**2/2 + 3*l. Let y(b) be the second derivative of t(b). Calculate y(u(n)). 2*n**2 - 6*n Let f(a) = 11*a. Let w(l) be the second derivative of -7/2*l**2 + 0 + 0*l**3 - 10*l - 1/24*l**4. Let s(u) be the first derivative of w(u). Give f(s(h)). -11*h Let p(m) = 6*m**2. Let u(y) = -48*y. Let v(t) = 1445*t - 10. Let n(f) = -30*u(f) - v(f). Determine n(p(z)). -30*z**2 + 10 Let f(z) = 275248*z. Let m(q) = -q**2. Determine m(f(d)). -75761461504*d**2 Let c(p) be the first derivative of 2*p**3/3 - 21. Let l(b) be the first derivative of -b**2/2 + 132*b - 3539. What is l(c(j))? -2*j**2 + 132 Let a(r) = -505*r - 2. Let u(h) = -6*h - 403. Calculate u(a(o)). 3030*o - 391 Let s(r) = r - r + 9*r - 3*r. Let h(y) be the third derivative of -y**8/6720 + 7*y**5/15 + 7*y**2. Let g(v) be the third derivative of h(v). Give g(s(x)). -108*x**2 Let j(b) = 12370*b. Let x(z) = -z**2 + 237. Give j(x(a)). -12370*a**2 + 2931690 Let n(s) be the first derivative of -3*s**3 + 132. Let a be (-2)/4 + (-15)/(-6). Let h(y) = y**a + 2*y**2 - y**2. What is h(n(r))? 162*r**4 Let v(d) = -83*d. Let z(h) = 19*h - 6. Let b(n) = 54*n - 17. Let x(l) = 6*b(l) - 17*z(l). Give v(x(j)). -83*j Let t(a) = -135*a**2 + 2*a - 3711. Let i(v) = -2*v**2. What is t(i(x))? -540*x**4 - 4*x**2 - 3711 Let x(o) = 5*o**2 - 8*o + 3. Let y be x(12). Let z(i) = 0 + y*i**2 - 634*i**2 + 0. Let p(h) = -6*h. Calculate z(p(l)). -252*l**2 Let p(g) be the first derivative of g**3 + 2. Let x(m) be the first derivative of 0*m + 0*m - 104 + 29 - 2*m**2. Calculate x(p(d)). -12*d**2 Let q(a) = 2*a**2. Let m(h) be the second derivative of 10*h**3 + 3 - h**3 - 1 + 2*h. Give q(m(z)). 5832*z**2 Let f(k) be the third derivative of -k**4/24 + 21*k**2. Let a(c) = -24*c + 23 - 23 - 6*c**2 + 17*c + 0*c**2. Determine a(f(z)). -6*z**2 + 7*z Let k(y) = -67*y + 1. Let p(t) be the second derivative of t**3 - 5730*t. Give p(k(q)). -402*q + 6 Let d(b) be the second derivative of -3*b**4/2 + b + 333. Let m(c) = 59*c**2 + 2*c. What is m(d(i))? 19116*i**4 - 36*i**2 Let v(u) = 3*u. Let s(f) = 57*f + 165. Let m(k) = 27*k + 76. Let z(t) = -13*m(t) + 6*s(t). What is v(z(r))? -27*r + 6 Let q(c) = 2*c. Suppose 0 = -9*b + 100 - 82. Let y(j) = 83189*j - 83189*j - 20*j**b. What is q(y(g))? -40*g**2 Let t(g) = g. Let f(h) = -453444*h**2. Let u(p) = -39*p**2. Let c(o) = -f(o) + 11727*u(o). Calculate c(t(a)). -3909*a**2 Let s(d) be the second derivative of d**3/6 - 1248*d. Let k(l) = 1098*l. Give k(s(q)). 1098*q Let w(a) = -86*a**2. Let u(q) = 19*q**2. Let h(s) = 59*s**2. Let x(n) = -3*h(n) + 10*u(n). Determine x(w(f)). 96148*f**4 Let c(z) be the first derivative of 5*z**4/6 + 153*z - 137. Let y(v) be the first derivative of c(v). Let d(o) = 19*o. Determine y(d(w)). 3610*w**2 Let m(q) = -2*q. Let g(b) = -153*b**2 - 72727*b. What is m(g(v))? 306*v**2 + 145454*v Let c(v) = -v. Let p(z) be the third derivative of -2677*z**4/24 - z**3/3 + 14*z**2 - 3*z - 6. Give p(c(f)). 2677*f - 2 Let y(w) = 2*w. Let k(i) = -i**3 - 5*i**2 - 4*i + 4. Let u = -2 - 2. Let j be k(u). Let q(m) = -3*m - 2*m + 2*m + j*m. Determine y(q(b)). 2*b Let v(z) = 7*z. Let p(h) = 7*h. Let x(i) = i**3 + 4*i**2 + 2*i - 2. Let s = -52 - -49. Let k be x(s). Let y(o) = o. Let q(w) = k*p(w) - 6*y(w). Give q(v(b)). 7*b Let u(d) = 83*d**2. Let c(o) = 750*o - 170. Let i(k) = 53*k - 12. Let x(w) = -6*c(w) + 85*i(w). Determine x(u(p)). 415*p**2 Let r(b) = 56709*b. Let g(l) = -6*l**2 + 16. Give r(g(w)). -340254*w**2 + 907344 Let h(n) be the second derivative of -2*n**3 + 1209*n. Let y(t) = -9*t. Determine h(y(w)). 108*w Let l(n) = -22*n. Let m(c) be the third derivative of c**8/4032 - c**5/4 - 18*c**2 - 3*c. Let j(y) be the third derivative of m(y). Give l(j(t)). -110*t**2 Let k(y) = -63*y**2 + 5*y - 450*y**2 - 756 + 751. Let o(a) = 8466*a**2 - 83*a + 83. Let g(z) = 83*k(z) + 5*o(z). Let j(b) = -b**2. What is j(g(q))? -62001*q**4 Let j(z) be the second derivative of -z**3/6 + 62*z. Let v(s) be the third derivative of -s**4 - 74*s**2. What is v(j(w))? 24*w Let k(g) = -g**2 - 2756*g. Let d(p) = 8376*p + 8375*p + 8370*p - 25119*p. Calculate d(k(x)). -2*x**2 - 5512*x Let u(w) = -w**2. Let n be (-9741)/(-68) - 3/12. Let q(g) = -n*g + 0*g + 28*g. What is u(q(o))? -13225*o**2 Let x(g) = 21*g. Suppose -3*w + 2*w + 13 = 0. Let i(b) = -15*b + 5*b + w*b. What is x(i(j))? 63*j Let r(y) = -67*y. Let g(c) = c**2 + 4*c - 30. Let s be g(-8). Let b(q) = 80*q**2 + 88*q**s - 170*q**2. Give b(r(t)). -8978*t**2 Let m(j) = 5*j - 42. Let g(o) = -3346*o. Give g(m(q)). -16730*q + 140532 Let g(v) = 2*v. Let r(s) be the second derivative of -s**4/6 - 2*s**3 - 4*s**2 - 6*s - 2. Let j(d) be the first derivative of r(d). Determine j(g(k)). -8*k - 12 Let q(p) be the first derivative of -11*p**2 - 75. Let j(g) be the third derivative of -3*g**5/20 - 45*g**2 - g. What is j(q(f))? -4356*f**2 Let o(h) be the first derivative of 61*h**3/3 + 1. Let d(f) be the second derivative of -f**3/6 + 9820*f. Calculate d(o(y)). -61*y**2 Let l(n) = -10*n. Let i(v) = -691*v**2 - 698*v**2 + 1387*v**2. Let f(q) = -15*q**2. Let k(d) = 2*f(d) - 6*i(d). Give l(k(a)). 180*a**2 Let r(x) be the second derivative of x**3/3 + 228*x**2 + 3*x + 268. Let h(s) = -s. Give h(r(n)). -2*n - 456 Let b = 2 + 1. Let a(w) = -8*w**2 + w + 2*w - b*w. Let j(n) = 3*n**2 - 4346*n + 4346*n. Give j(a(m)). 192*m**4 Let o(y) be the second derivative of -y**4/6 + 110*y. Let p be 8/10*(-15)/(-6). Let q(g) = 8*g**2 + 48*g - 48*g - 2*g**p. Determine o(q(v)). -72*v**4 Let g(o) = 3*o**2. Let k(y) = -4721987*y. What is g(k(u))? 66891483684507*u**2 Let s(w) = -5*w. Let a(l) = -7*l - 6. Let y(j) = 9*j + 7. Suppose 4*d = 5*d - 7. Let v(z) = d*a(z) + 6*y(z). Determine v(s(o)). -25*o Let j(i) = 507*i + 448*i + 68*i + 519*i - 329*i. Let d(m) = -2*m. What is j(d(w))? -2426*w Let m(u) = 2296*u - 1064. Let j(l) = 10*l**2. Give m(j(s)). 22960*s**2 - 1064 Let r(i) = -2*i. Let s(c) = c. Let m(y) = 3*r(y) + 3*s(y). Suppose -6*t + 58 + 92 = 0. Let n(g) = -3*g**2 - 56*g + t*g + 31*g. What is m(n(v))? 9*v**2 Let p(c) = -156*c**2. Let v = 625 - 607. Let i(h) = -3*h - 5*h - 2*h + v*h - 7*h. Give p(i(x)). -156*x**2 Let x(w) be the second derivative of -w**7/1260 - 23*w**4/3 - 9*w + 4. Let f(r) be the third derivative of x(r). Let b(i) = 18*i**2. Give f(b(z)). -648*z**4 Let o(u) = 8 + 2*u + 4 - 12. Let r(p) be the second derivative of -13*p
{ "pile_set_name": "DM Mathematics" }
ut replacement from kmmmcemg. What is prob of picking 1 e and 1 g? 1/28 What is prob of picking 1 f, 1 p, and 2 r when four letters picked without replacement from {p: 2, f: 1, r: 2}? 2/5 What is prob of picking 2 y and 1 q when three letters picked without replacement from pyyjyjypaccyq? 5/143 Calculate prob of picking 2 o and 1 q when three letters picked without replacement from {u: 1, o: 3, n: 2, q: 6}. 9/110 Two letters picked without replacement from ggaaggag. What is prob of picking 1 g and 1 a? 15/28 Two letters picked without replacement from bbbwlllbbbwwlww. What is prob of picking 1 b and 1 l? 8/35 Calculate prob of picking 2 i when two letters picked without replacement from {f: 1, i: 2, l: 4, h: 1, v: 2, p: 2}. 1/66 Two letters picked without replacement from {e: 3, g: 1, x: 2, s: 1}. Give prob of picking 1 e and 1 g. 1/7 Three letters picked without replacement from {o: 4, a: 10, e: 2, c: 4}. Give prob of picking 1 e, 1 o, and 1 a. 4/57 Three letters picked without replacement from kkkkmkmmkmkkkmmkkk. Give prob of picking 1 k and 2 m. 15/68 Four letters picked without replacement from {r: 4, w: 5, f: 2}. What is prob of picking 2 r, 1 w, and 1 f? 2/11 Two letters picked without replacement from {j: 6, e: 1, s: 3, i: 1, t: 2, f: 2}. Give prob of picking 1 f and 1 t. 4/105 Two letters picked without replacement from {s: 2, a: 1, w: 4, q: 1}. What is prob of picking 2 s? 1/28 What is prob of picking 1 l and 1 i when two letters picked without replacement from lilill? 8/15 Three letters picked without replacement from {x: 2, b: 5}. Give prob of picking 1 b and 2 x. 1/7 Calculate prob of picking 2 t when two letters picked without replacement from {t: 3}. 1 Four letters picked without replacement from bbbsbsssbssb. Give prob of picking 2 b and 2 s. 5/11 Two letters picked without replacement from {y: 2, h: 1, e: 1, f: 2}. Give prob of picking 1 y and 1 f. 4/15 What is prob of picking 1 i and 1 l when two letters picked without replacement from {f: 1, x: 2, l: 2, b: 1, i: 5, t: 2}? 5/39 What is prob of picking 3 f and 1 p when four letters picked without replacement from {f: 11, p: 7, j: 1}? 385/1292 Three letters picked without replacement from {f: 1, z: 4, o: 1, m: 11}. Give prob of picking 1 m, 1 f, and 1 o. 11/680 Calculate prob of picking 2 h when two letters picked without replacement from {h: 5, f: 8}. 5/39 What is prob of picking 1 m and 2 b when three letters picked without replacement from bbbbmbbbbbbbbmbbbb? 5/17 Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {f: 2, b: 2, q: 1, e: 1, j: 1}. 1/21 Two letters picked without replacement from {v: 10}. What is prob of picking 2 v? 1 Three letters picked without replacement from {w: 3, e: 4, s: 1, v: 2}. What is prob of picking 1 w and 2 e? 3/20 Calculate prob of picking 2 a and 2 o when four letters picked without replacement from {h: 4, o: 2, r: 9, a: 4}. 1/646 Three letters picked without replacement from {m: 1, r: 3, c: 1}. What is prob of picking 1 m, 1 r, and 1 c? 3/10 What is prob of picking 1 n and 2 r when three letters picked without replacement from rrrnirrrrin? 14/55 What is prob of picking 3 m when three letters picked without replacement from mmomommgmmmoom? 3/13 Calculate prob of picking 2 c and 1 o when three letters picked without replacement from {k: 1, z: 2, c: 3, o: 2, s: 4}. 3/110 Calculate prob of picking 1 w and 3 b when four letters picked without replacement from bbwbw. 2/5 Four letters picked without replacement from {g: 6, h: 2, a: 1, f: 2}. What is prob of picking 1 h, 2 f, and 1 a? 1/165 What is prob of picking 3 q when three letters picked without replacement from {l: 1, t: 2, q: 4, u: 1, g: 3}? 4/165 Two letters picked without replacement from {z: 3, d: 1, o: 2, v: 3, x: 7, c: 2}. Give prob of picking 1 z and 1 x. 7/51 Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {x: 2, e: 3, f: 2, r: 2, m: 1, c: 2}. 1/11 Three letters picked without replacement from rhhrrhhhhhhhhhhhhh. What is prob of picking 3 h? 455/816 Calculate prob of picking 2 u when two letters picked without replacement from {d: 5, u: 5}. 2/9 Four letters picked without replacement from gtztt. What is prob of picking 1 g and 3 t? 1/5 Three letters picked without replacement from {p: 1, b: 1, r: 10, d: 2}. Give prob of picking 1 d, 1 p, and 1 b. 1/182 Three letters picked without replacement from ppsacscspsssp. What is prob of picking 2 p and 1 c? 6/143 What is prob of picking 3 t and 1 c when four letters picked without replacement from ccctcctt? 1/14 Calculate prob of picking 4 t when four letters picked without replacement from {t: 8, z: 3}. 7/33 Calculate prob of picking 1 u, 1 m, and 1 d when three letters picked without replacement from zmkuudmmduumudmuduy. 140/969 What is prob of picking 2 e and 1 q when three letters picked without replacement from {t: 1, e: 2, d: 1, q: 1, f: 2, w: 2}? 1/84 Two letters picked without replacement from ccjjlcjjcccjjcclc. What is prob of picking 2 j? 15/136 Three letters picked without replacement from ynynyn. Give prob of picking 3 y. 1/20 What is prob of picking 3 h when three letters picked without replacement from {s: 4, u: 2, h: 4}? 1/30 What is prob of picking 1 w and 2 v when three letters picked without replacement from {w: 12, v: 3, i: 1}? 9/140 What is prob of picking 3 b and 1 e when four letters picked without replacement from ebbbbbeebb? 1/2 Four letters picked without replacement from {o: 3, j: 3, z: 7}. Give prob of picking 1 z and 3 j. 7/715 What is prob of picking 1 e, 1 f, and 1 t when three letters picked without replacement from npffrrperrppptrr? 1/280 What is prob of picking 1 z and 1 j when two letters picked without replacement from {j: 2, b: 1, h: 1, t: 1, q: 1, z: 2}? 1/7 Two letters picked without replacement from pkkphpy. What is prob of picking 1 y and 1 p? 1/7 Three letters picked without replacement from {z: 6, m: 3, a: 1, x: 1, h: 1, q: 1}. What is prob of picking 1 h and 2 m? 3/286 Two letters picked without replacement from {n: 5, d: 1, h: 2, g: 1}. What is prob of picking 2 n? 5/18 Two letters picked without replacement from {y: 1, f: 1, c: 2, i: 1, w: 1, s: 1}. Give prob of picking 1 i and 1 f. 1/21 Three letters picked without replacement from {r: 1, g: 11}. What is prob of picking 1 r and 2 g? 1/4 Calculate prob of picking 3 q when three letters picked without replacement from qiqqqi. 1/5 Three letters picked without replacement from {f: 8, x: 3}. Give prob of picking 3 f. 56/165 Calculate prob of picking 1 d, 1 s, and 2 x when four letters picked without replacement from {x: 2, w: 2, q: 1, s: 4, d: 6}. 8/455 Three letters picked without replacement from {o: 11, q: 2}. Give prob of picking 1 q and 2 o. 5/13 What is prob of picking 3 i and 1 s when four letters picked without replacement from {s: 1, i: 3, c: 4, r: 4, h: 6, j: 1}? 1/3876 Calculate prob of picking 1 v and 2 a when three letters picked without replacement from vvvaaa. 9/20 Three letters picked without replacement from ssssosssssssssssss. What is prob of picking 2 s and 1 o? 1/6 Two letters picked without replacement from rgkdkkdkk. Give prob of picking 1 k and 1 r. 5/36 Two letters picked without replacement from {j: 1, n: 1, h: 2, k: 2, x: 1, m: 2}. Give prob of picking 1 m and 1 n. 1/18 Three letters picked without replacement from xxxxppxxxxxxx. What is prob of picking 1 x and 2 p? 1/26 Four letters picked without replacement from {h: 7, z: 5}. Give prob of picking 1 z and 3 h. 35/99 Calculate prob of picking 1 l, 1 q, and 1 m when three letters picked without replacement from smwmmqmwlmjmmq. 1/26 Two letters picked without replacement from {i: 1, d: 1, c: 2, b: 1, y: 1, j: 1}. What is prob of picking 1 i and 1 d? 1/21 Calculate prob of picking 3 r and 1 a when four letters picked without replacement from rrrrrarrra. 8/15 Calculate prob of picking 1 f and 1 q when two letters picked without replacement from {q: 1, m: 7, j: 4, t: 1, f: 5, i: 1}. 5/171 Three letters picked without replacement from {x: 6, z: 13}. Give prob of picking 2 z and 1 x. 156/323 Calculate prob of picking 1 a and 1 g when two letters picked without replacement from wgogoaowykko. 1/33 What is pro
{ "pile_set_name": "DM Mathematics" }
*j + 4*s, j - 31 = -2*s. What is the tens digit of j? 3 Suppose 0 = -3*l - 0*l - 9. What is the units digit of 2/l - (-56)/12? 4 Let q(d) = -2*d - 2. Let s be q(-3). Suppose -s*n = -5*u - 5 - 6, 13 = -3*u - 4*n. What is the units digit of (-2)/2*(u - 4)? 7 Suppose -14 = p - 5*x, 3*p + 2 = -4*x + 17. Suppose p = -u - 1. What is the units digit of (u/3)/(6/(-45))? 5 Suppose -2 - 13 = -3*n. Suppose 0 = -k + n + 4. What is the units digit of k? 9 Suppose d - 80 + 17 = 0. Let i = d - 43. What is the tens digit of i? 2 Let p(v) = 4*v + 12. Let w(d) = -d - 3. Let r(g) = -2*p(g) - 9*w(g). What is the units digit of r(5)? 8 Let y = -4 + -6. Let p = 22 + y. What is the units digit of p? 2 Let u = 7 + -1. Let b be (-411)/(-9) + (-4)/u. What is the units digit of (-74)/(-9) - 10/b? 8 Let c(k) = -k**3 + 6*k**2 - k. Let a be c(5). Suppose 0 = -4*g - g + a. Suppose 5*d + 15 = 0, -g*d - 30 = -4*n - 2*d. What is the units digit of n? 6 Let t = 10 + -2. What is the units digit of (-100)/(-16) - 2/t? 6 Suppose 2*r = 3*s + 56, 3*r + 15 = 5*s + 100. What is the tens digit of r? 2 Let q(w) = -w**2 + 6*w + 6. Suppose 2*d = r + 12, -d + 2*r = -4*d + 18. Let k be q(d). What is the units digit of (-6)/4*(-4)/k? 1 Let b(p) be the first derivative of p**3/3 - 3*p**2/2 + p + 1. Let o be b(4). Suppose 14 = -o*x + 74. What is the tens digit of x? 1 Suppose 0 = -3*j + 5*c - 10, 0*c - 2*c = 3*j - 4. Suppose 0 = 5*h - j - 10. What is the units digit of h? 2 Let g(n) = n**2 - 7*n + 5. Let z be g(7). Let c be (-2)/4*0 - 0. Suppose 2*i + p - z = c, 5*i - 14 = -p - 3*p. What is the units digit of i? 2 Let r(v) = 5*v**3 - 4*v**2 + 9*v + 133. Let f(d) = -d**3 + d**2 - 2*d - 33. Let l(h) = -9*f(h) - 2*r(h). What is the units digit of l(0)? 1 Suppose 4*x - 173 = 23. What is the tens digit of x/5 - 1/(-5)? 1 Let u(r) = r**3 + 3*r**2 - 6*r - 1. Let c(l) = -8*l - 4. Let h be c(-3). Suppose 3*d + h = -2*d. What is the units digit of u(d)? 7 Let b(m) = -m - 9. Let q be b(-7). Let o = 9 + q. What is the units digit of o? 7 Let h(o) = o**3 + o**2 + o - 7. Let g be h(0). Let q(s) = -2*s - 7. What is the units digit of q(g)? 7 Suppose 5*j - 3*k = 55, 2*j = 6*j - k - 37. Suppose -j*d + 4*d = -56. What is the tens digit of d? 1 Suppose 0 = -4*d + 12. Let s = 13 - d. What is the units digit of s? 0 Let t be (2/6)/((-4)/(-72)). Suppose -t*i - 28 = -8*i. What is the units digit of i? 4 Let s(h) = -h**2 + 9*h + 4. Suppose 0 = -4*z - 8, 6*t - 40 = 2*t + 4*z. What is the units digit of s(t)? 2 Let l(y) = 2*y**2 + 5*y + 11. What is the tens digit of l(-7)? 7 Let y(l) = -l**3 + 6*l**2 + 3*l - 9. Suppose a - 3*a = -12. Let v be y(a). Suppose -3*g + 2*k + 15 = k, k - v = -g. What is the units digit of g? 6 What is the units digit of ((-37)/4 - 0/3)*-20? 5 Suppose -10*p - 1 + 11 = 0. What is the units digit of p? 1 Let f = -1 + 9. Let g be 1*(2 - 1 - 13). What is the units digit of f/g - (-20)/3? 6 Let w = 4 - 3. Suppose -o = w - 4. What is the units digit of o? 3 Let l = -16 + 50. Suppose m - d = l, -d + 24 = -0*m + m. What is the units digit of m? 9 Let s(y) = -y**2 - 4*y + 9. Let z be s(-5). Suppose -2*h = 6 - 26. Let n = h - z. What is the units digit of n? 6 Suppose -3*t = -2*t - 2. Suppose f + 4*m = 61, 4*f - m - 3*m = 244. Suppose -2*x + f = 2*x + 5*q, 3*x = t*q + 40. What is the units digit of x? 4 Suppose -32 = -5*b - 2*d + 65, -b = -4*d - 37. Suppose 0 = h + 2*k - 3*k - 13, -3*k = 15. Let y = b - h. What is the tens digit of y? 1 Let l = 9 + 0. Let p(w) = w**2 - 10*w + 11. Let a be p(l). What is the units digit of (-1 - -2)*18/a? 9 Let y(s) = 1 - 9*s + 0*s**2 - s**2 - 5. What is the units digit of y(-8)? 4 Let l = -9 + 19. Let s = 13 + -18. Let z = s + l. What is the units digit of z? 5 Let v be (0 + 2)/2*3. Suppose -n = -v*n + 4. Suppose 2*d - 14 = n*l, -3*d - 49 = -8*d - 2*l. What is the units digit of d? 9 What is the units digit of 3/12 - 118/(-8)? 5 Let k(c) = -c**2 + c. Let r be k(-1). Let p be 21 + r + 1 - -2. What is the units digit of (-2)/5*(-3 - p)? 0 Let m(d) = 3*d**3 + 3*d**2 + 3*d. Suppose -3 - 7 = 5*h. Let c be m(h). What is the units digit of (-87)/(-27) - (-4)/c? 3 Suppose 16 = -2*h + 6*h. Suppose -h*v - 12 = -0*v + 4*b, -4*b - 12 = -v. Suppose v = a + a, -2*j - 4*a = -32. What is the tens digit of j? 1 What is the tens digit of ((-2)/(-3))/((-6)/(-261))? 2 Let k = 132 + 138. What is the tens digit of k? 7 Suppose 0*x - 4*x = 72. Let y = -9 - x. What is the units digit of y? 9 Let h(t) = t**3 - 7*t**2 - 8*t + 2. Let b be h(8). Let a be (12/3 - 3) + b. Suppose -a*n = n - 4. What is the units digit of n? 1 Suppose 4*m + 8 = 2*k, 5*k + m + 0*m - 9 = 0. Let n be 2*-1 - (k + -4). Suppose -5*y + n*y + 25 = f, y - 5 = -3*f. What is the units digit of y? 5 Let p = 107 - 76. What is the units digit of p? 1 Let a(q) = -q**3 - 3*q**2 + 4*q + 4. Let i be a(-4). Let k be i/(2/8 + 0). Suppose 4*t - k = 16. What is the units digit of t? 8 Let c = 97 - 55. What is the tens digit of c? 4 What is the tens digit of 54*(-3 - -4) + 1/(-1)? 5 Let w = 7 - 16. Let u = w - -16. Let l(r) = -r**2 + 7*r + 7. What is the units digit of l(u)? 7 What is the units digit of ((-12)/(-14))/(9/42)? 4 What is the tens digit of 6/(-15) + 354/10? 3 Let j = 52 - 27. Let d = j + -7. What is the tens digit of d? 1 Let i = -12 + 20. Let k = 16 - i. What is the units digit of k? 8 Let y(k) = 7*k**2 + k. Let j be y(-1). Let g(o) = -o**2 - 9*o + 14. Let s be g(-10). Let f = j - s. What is the units digit of f? 2 Let o = 14 + -7. What is the tens digit of (6 + -4)/(1/o)? 1 Suppose -3*y + 41 = 29. What is the tens digit of (-4)/y*(2 + -59)? 5 What is the hundreds digit of (-2 - -1) + (0 - 2 - -105)? 1 Let q = -130 - -210. Suppose -2*l + q = 3*l + 5*o, 3*l + 5*o - 56 = 0. What is the tens digit of l? 1 Let x be (-371)/(-9) - 10/45. Suppose 3*v = -4*z + x + 40, -2*z = -5*v - 73. What is the tens digit of z? 2 Suppose a + 4 = 2*a - 4*o, 0 = -3*o. Suppose 0*r = z - a*r - 36, -2*z + r + 79 = 0. Suppose -z + 0 = -5*u - 2*g, 2*u - 16 = -3*g. What is the units digit of u? 8 Let y = -7 + 11. Suppose -y*h - 36 = -2*h. What is the units digit of (-8)/36 - 76/h? 4 Suppose 27*y - 26*y = 295. What is the units digit of y? 5 Let q = 182 + -34. What is the hundreds digit of q? 1 Let n(i) = -i**3 + 2*i**2 + 3. What is the units digit of n(-3)? 8 Suppose -2*c = -0*c - 42. Suppose -m - m = 2*x - 26, -c = -2*x - m. What is the units digit of x? 8 Let i(c) be the first derivative of -c**4/4 - c**3/3 + c**2/2 + 2*c - 2. Let p be i(-2). Suppose 0 = p*a - 10 - 10. What is the units digit of a? 5 Suppose 0 = 2*y - 16 - 144. Suppose v = -4*v + y. Suppose -3*d + 5 = -v. What is the units digit of d? 7 Suppose 4*o - 38 = -2*n, 4*n + 7*o = 5*o + 52. What is the tens digit of n? 1 What is the units digit of 12/(-6)*(-764)/8? 1 Let z be 0 + ((-24)/(-3))/2. Suppose -56 = -z*t - 0*t. What is the units digit of t? 4 What is the tens digit of ((-15)/(-6))/((-4)/(-40))? 2 Let r = 476 + -172. What is the tens digit of r? 0 Suppose 3*k - c = 8, -28 = 4*c - 8. What is the units digit of (9/(-15))/(k/(-15))? 9 Let n(v) = -v. Let r be 1/(-2) - 9/2. Let j be n(r). Suppose -20 = -3*l + a, -5*l + 0*l = -j*a - 20. What is the units digit of l? 8 Let q be (-156)/(-9)*(-3)/(-2). Let m = -13 + q. What is the units digit of m? 3 Let c(g) = 2*g - 4. Let j be c(7). Let y = -8 + j. What is the units digit of y? 2 Suppose -4*h = -2*z + 242, 371 = 4*z + h - 95. What is the units digit of z? 7 Let s be (14/5)/((-2)/10). Let c = 31 + s. What is the tens digit of c? 1 Let a(r) = -r**3 - 5*r**2 + 7*r - 14. Let w be a(-7). Suppose 3*k = 2*o - w, o = -4*k - 0*k - 10. What is the tens digit of o? 1 Suppose -72 = h - 128. What is the units digit of h? 6 Let m = -6 - -8. Let v = 9 - m. What is the units digit of v? 7 Suppose -2*x = -0*x - 40. What is the tens digit of x? 2 Suppose -5*w + 1 = -19. Let m = 5 - -4. Suppose 0 = w*a - 5*q - 14 - m, a + 2*q - 9 = 0. What is the units digit of a? 7 Let a(t) = 2*t - 5. Let y be a(4). Suppose 19 = u + y*s, 5*u - s = -0*s + 63. What is the tens digit of u? 1 Let m = 19 + -16. Suppose c + 3*c = -l + 133, 0 = -m*c + l + 91. What is the units digit of c? 2 Suppose 2*l - 259 - 53 = 0. What is the units digit of l? 6 What is the units digit of -2*(
{ "pile_set_name": "DM Mathematics" }
3). 44 Let n(f) = -98*f - 5620. Calculate n(-57). -34 Let b(z) = 4*z**2 + 4*z + 2. Calculate b(0). 2 Let s(l) = -2*l**2 - 849*l + 8696. Calculate s(10). 6 Let f(c) = -80*c**2 + 392*c - 58. What is f(5)? -98 Let i(l) = -l**3 + 21*l**2 + 25*l + 198. Give i(23). -285 Let p(k) = -36*k**3 + 71*k**2 - 5*k + 4. Determine p(2). -10 Let x(c) = 24*c + 22. Determine x(-9). -194 Let u(c) = -c**2 + 3*c + 124. Determine u(12). 16 Let j(g) = 3*g**2 + 536*g - 1263. Calculate j(-181). 4 Let f(m) = -14*m**2 + 381*m - 87. What is f(27)? -6 Let f(i) = 867*i - 7801. Determine f(9). 2 Let z(q) = 2699*q - 10792. What is z(4)? 4 Let r(n) = -37*n**2 + 927*n - 21. Calculate r(25). 29 Let i(m) = 3*m**2 - 14*m + 21. Give i(5). 26 Let l(v) = -34*v**2 + 341*v - 10. Calculate l(10). 0 Let a(r) = 8*r**2 + 33*r - 2. Determine a(-4). -6 Let w(t) = -13*t**2 + 13*t - 31. Give w(2). -57 Let f(t) = 2*t**2 + 221*t + 6130. What is f(-57)? 31 Let b(s) = 42*s**2 + 269*s + 4. Calculate b(-6). -98 Let z(f) = 44*f - 1337. Calculate z(44). 599 Let l(p) = -8*p + 804. Determine l(46). 436 Let a(c) = -4*c**2 + 8*c + 32. What is a(-4)? -64 Let d(b) = -b**3 + 6*b**2 - 88*b + 554. Determine d(5). 139 Let b(m) = -33*m - 162. Give b(-10). 168 Let c(q) = -2*q**2 + 319*q - 2202. What is c(7)? -67 Let l(y) = y**2 - 18*y + 39. What is l(11)? -38 Let j(h) = -17*h**2 - 2839*h - 2. Give j(-167). -2 Let d(g) = 1081*g + 18385. What is d(-17)? 8 Let r(h) = -13*h**2 + 188*h - 87. Calculate r(14). -3 Let n(i) = 727*i + 2134. What is n(-3)? -47 Let k(r) = -r**3 + r**2 + 25*r + 1. Calculate k(0). 1 Let b(i) = -151*i + 1154. Give b(8). -54 Let v(h) = h**3 - 139*h**2 - 286*h + 508. Calculate v(141). -56 Let f(x) = -x**3 - 13*x**2 - 25*x - 38. Give f(-11). -5 Let v(j) = -2*j - 107. Determine v(-42). -23 Let v(j) = -61*j - 5516. Determine v(-90). -26 Let d(p) = 271*p + 19516. Calculate d(-72). 4 Let z(l) = -24*l - 253. Give z(-13). 59 Let y(x) = -76*x + 15. Give y(1). -61 Let v(i) = -657*i + 3287. Determine v(5). 2 Let q(f) = -8*f - 116. What is q(-16)? 12 Let t(a) = 2*a**3 + 17*a**2 + 32*a - 6. What is t(-6)? -18 Let o(k) = -2*k**3 - 26*k**2 - 75*k + 20. Give o(-5). -5 Let c(v) = -v**3 + 172*v**2 - 1621*v - 7. Calculate c(10). -17 Let d(g) = 253*g**2 + 15*g - 13. Give d(1). 255 Let m(p) = -p**2 - 40*p - 196. Calculate m(-34). 8 Let i(g) = -12*g**3 + 4*g**2 + 15*g - 17. Determine i(1). -10 Let c(m) = 8826*m + 52955. Determine c(-6). -1 Let a(k) = -3*k**3 + 189*k**2 - k + 50. Give a(63). -13 Let o(n) = -n**3 + 11*n + 4. What is o(-3)? -2 Let r(t) = 5*t**2 + 25*t - 186. Determine r(10). 564 Let w(u) = -5*u**2 + 113*u + 809. Calculate w(-7). -227 Let h(n) = -n**2 - 4219*n - 25262. What is h(-6)? 16 Let b(d) = -2*d - 84. What is b(59)? -202 Let o(l) = 408*l + 28. Calculate o(0). 28 Let f(d) = -d**2 - 27*d + 124. Give f(-30). 34 Let m(j) = j - 30. Give m(-19). -49 Let b(s) = s**3 - 20*s**2 + 25*s - 136. Determine b(19). -22 Let x(h) = 22*h - 1041. Give x(47). -7 Let i(h) = -1581*h + 44294. Calculate i(28). 26 Let i(s) = 32*s - 583. Calculate i(18). -7 Let t(s) = -2*s**3 + 39*s**2 - 38*s - 277. Give t(18). 11 Let p(g) = -g**3 - 8*g**2 - 10*g - 14. Calculate p(-6). -26 Let d(i) = -i**2 - 3*i + 42. Give d(11). -112 Let p(f) = -19*f + 38. Calculate p(6). -76 Let a(t) = t**2 - 35*t + 165. What is a(29)? -9 Let w(u) = -59*u - 35. Calculate w(-2). 83 Let q(o) = 5*o**2 + 186*o - 397. Determine q(2). -5 Let s(d) = 25*d + 1738. Give s(-69). 13 Let a(d) = d**3 - 105*d**2 - 256*d + 4490. What is a(107)? -4 Let n(j) = 22*j + 107. What is n(-1)? 85 Let z(h) = -194*h + 2127. Calculate z(11). -7 Let m(x) = 2*x**3 - 46*x**2 + 35*x + 184. Calculate m(22). -14 Let k(n) = 3482*n + 34882. Calculate k(-10). 62 Let l(k) = k**2 - 278*k + 1606. What is l(6)? -26 Let o(w) = 235*w - 944. Determine o(4). -4 Let k(v) = -3*v**2 - 231*v - 388. What is k(-77)? -388 Let s(b) = b**3 - 8*b**2 + 18*b - 54. Give s(6). -18 Let b(z) = -2*z**3 - 6*z**2 + 17*z + 23. What is b(-4)? -13 Let u(o) = 137*o + 64. Determine u(0). 64 Let u(g) = 155*g - 2004. What is u(13)? 11 Let t(l) = l**3 + 44*l**2 + 85*l + 170. What is t(-42)? 128 Let o(v) = -2*v**3 - 54*v**2 + 58*v + 59. Calculate o(-28). 3 Let v(b) = -10*b**3 - b**2 + 7. What is v(0)? 7 Let s(x) = 2*x**2 + 156*x + 268. What is s(-77)? 114 Let r(x) = -x**3 + 8*x**2 - 31*x + 46. Calculate r(4). -14 Let g(i) = i**2 + 491*i + 41092. What is g(-107)? 4 Let g(m) = -m**3 + 7*m**2 - 3*m + 56. What is g(6)? 74 Let s(i) = -16555*i + 248327. Give s(15). 2 Let h(v) = -6*v**3 + v**2 - 10*v + 2. Give h(2). -62 Let v(a) = a**3 - 13*a**2 - 34*a - 236. Determine v(16). -12 Let u(x) = -295*x - 27439. Calculate u(-93). -4 Let u(t) = 3*t**3 + 6*t**2 - 5*t + 80. Determine u(-4). 4 Let f(l) = 12*l - 59. What is f(22)? 205 Let v(y) = -49*y + 123. What is v(-1)? 172 Let s(o) = -50*o + 1200. What is s(24)? 0 Let g(y) = -2*y**2 + 119*y - 301. Determine g(57). -16 Let b(x) = -2*x**3 + 83*x**2 - 41*x - 30. What is b(41)? -30 Let c(n) = -n**3 + 41*n**2 - 32*n + 3011. What is c(42)? -97 Let p(s) = s**3 + 16*s**2 + 34*s - 53. Determine p(-13). 12 Let b(y) = -44*y + 122. Calculate b(2). 34 Let o(v) = v**3 + 9*v**2 + 20*v + 1. Calculate o(-6). -11 Let b(h) = 4*h + 44. Give b(-6). 20 Let w(m) = -16*m**2 - m + 7. Give w(-2). -55 Let i(s) = s**3 + 50*s**2 + 201*s. Calculate i(-4). -68 Let x(k) = -16*k + 889. Calculate x(56). -7 Let g(m) = -m**2 + 2*m - 7. What is g(4)? -15 Let c(z) = -926*z - 933. What is c(-1)? -7 Let w(g) = 4686*g - 18729. What is w(4)? 15 Let f(p) = -p**3 + 3*p**2 - 7*p - 39. What is f(8)? -415 Let n(w) = -w**3 + 53*w**2 + 52*w + 120. Determine n(54). 12 Let i(g) = g**2 - 128*g + 3976. What is i(75)? 1 Let x(g) = -27*g**2 - 244*g + 15. What is x(-9)? 24 Let q(g) = g**2 - 4*g - 184. Calculate q(17). 37 Let y(v) = 2*v**3 - 19*v**2 + 9*v + 4. Calculate y(7). -178 Let h(m) = 2*m**2 + 100*m + 196. Give h(-48). 4 Let k(c) = -c**3 + 5*c**2 + 81*c - 175. What is k(11)? -10 Let k(n) = -n**3 - 87*n**2 + 3*n + 260. Calculate k(-87). -1 Let s(v) = 42*v + 210. Give s(-6). -42 Let j(w) = -367*w - 1396. Determine j(-4). 72 Let y(k) = -2*k**2 - 22*k + 11. Determine y(-9). 47 Let q(x) = -62*x - 461. Give q(-8). 35 Let u(h) = -309*h**3 + 4*h**2 - 4*h + 1. Give u(1). -308 Let u(w) = -w**3 + 10*w**2 + w - 30. Calculate u(-2). 16 Let o(l) = -2*l**3 + 56*l**2 - 54*l + 42. Determine o(27). 42 Let t(z) = -2*z**3 + 123*z**2 - 69*z + 483. What is t(61)? -5 Let w(l) = -117*l + 15790. Give w(135). -5 Let u(t) = -198*t**2 - 993*t - 16. Calculate u(-5). -1 Let v(a) = -27*a + 1265. Calculate v(49). -58 Let i(k) = 28*k**2 + 671*k - 67. Determine i(-24). -43 Let t(q) = 531*q - 4685. Calculate t(9). 94 Let n(a) = -a**3 + 24*a**2 - 182*a + 434. Calculate n(11). 5 Let g(i) = i**2 - 124*i + 3970. Calculate g(62). 126 Let k(t) = t**2 - 41*t - 163. Give k(26). -553 Let l(g) = -229*g - 1954. What is l(-8)? -122 Let f(i) = -i**3 - 21*i**2 - 97*i + 13. What is f(-14)? -1 Let v(x) = 826*x + 28072. Determine v(-34). -12 Let l(p) = p**3 + 34*p**2 - 34*p - 1150. Give l(-34). 6 Let x(z) = z**2 + 9*z - 114. Determine x(7). -2 Let i(c) = 1131*c - 2248. Give i(2). 14 Let s(h) = -36*h - 159. What is s(-3)? -51 Let x(z) = z**3 - 45*z**2 + 153*z + 486. What is x(41)? 35 Let t(y) = 2*y**2 - 40*y - 235. Determine t(25). 15 Let u(j) = 729*j**3 - 2*j**2 + 8*j - 6. Give u(1). 729 Let z(f) = -12*f + 242. Calculate z(29). -106 Let w(g) = 16*g**2 - 578*g - 599. What is w(-1)? -5 Let l(v) = 121*v**3 - 13*v**2 - 11*v + 2. What is l(-1)? -121 Let q(x) = -21*x + 663. Determine q(31). 12 Let a(x) = 680*x**3 + 4*x + 7. What is a(-1)? -677 Let r(d) = -647*d + 17456. Give r(27). -13 Let k(l) = -l**3 + 13*l**2 - 33*l + 7. What is k(10)? -23 Let s(i) = -i**2 - 11*i + 65. What is s(-15)? 5 Let j(l) = 25*l - 42. Determine j(2). 8 Let j(o) = -3*o**3 - 285*o**2 + 1199*o + 1084. Give j(-99). -5 Let x(s) = -2*s**2 - 128*s + 225. What is x(-66)? -39 Let n(x) = -262*x - 25646. Determine n(-98). 30 Let z(k) = -k**2 - 46*k - 189. What is z(-16)? 291 Let z(x) = 18*x - 67. Give z(4). 5 Let n(s) = -28*s + 1258. Determine n(36). 250 Let h(x) = -x**2 - 354*x - 1061. Calculate h(-3). -8 Let k(i) = 2*i**3 + 89*i**2 - 40*i + 130. Give k(-45). -95 Let g(t) = 9*t**2 - 115*t + 16. Determine g(0). 16 Let w(r) = 3
{ "pile_set_name": "DM Mathematics" }
+ 3*s + (0*s + 0*s - 2*s)*(2*s**4 - 3*s**4 + 0*s**4). -5*s**5 Expand -s**5 + s - s + (2*s**4 + 0 + 0)*(2*s - s - 3*s). -5*s**5 Expand (0 + x + 0)*(-1 - 1 + 3) - x + 2 - 2 + (2 - 2 - 1)*(0 - 2*x + 0). 2*x Expand (0 - 1 + 0)*(3*l**5 - 5*l**5 + 4*l**5) + 1 - 1 - l**5 - 2*l**5 + l**2 - l**2 + (-2 - 2 + 0)*(-5*l**5 - 2*l**5 + 4*l**5). 7*l**5 Expand (-7*q - 15*q + 6*q)*(3 + 0 - 3*q - 4) - 2*q**2 - q**2 + 5*q**2 - q**2 + 2*q**2 - 2*q**2 + (-q + q - q)*(3*q - 3*q + q) - 3*q**2 + 2*q**2 - q**2. 46*q**2 + 16*q Expand (1 - 1 - 1 + (-1 - 4 + 4)*(0 + 1 + 1) - 2 + 4 - 4 + (3 - 1 - 4)*(-1 + 2 + 8))*(-k**2 - 4 + 4). 23*k**2 Expand (0 - 7 - 54)*(s + 4*s - 6*s)*(2*s + 2*s - 3*s) + 1 + s**2 - 1. 62*s**2 Expand -2*g + 3*g - 2*g + (3 + 2 - 4)*(6 - 3 + 0)*(9*g + 8*g - 5*g). 35*g Expand (0 - z**2 + 0)*(-5*z - 1 + 1 + (-2 - 1 + 1)*(3 - 2*z - 3))*(2*z + 2*z - 3*z). z**4 Expand (-12*w + 5*w**2 - 4*w**2 + 17*w + 3)*(1 - 4*w - 1). -4*w**3 - 20*w**2 - 12*w Expand (-14 + 14 - 2*b**2)*(0*b + 3*b - 2*b)*(-4*b - 4*b + 0*b). 16*b**4 Expand -4*g**5 + 2*g**5 + 0*g**5 - 3*g**5 + 0*g**3 + 0*g**3 + (-4*g**2 + 3*g**2 - g**2)*(0*g**3 + 3*g**3 - 2*g**3) + (-3 + 3 - 1)*(g**5 + 3*g**4 - 3*g**4). -8*g**5 Expand (1 + 4 - 1)*(-4 + 1 + 2 + 2 - 4 + 4 + (4 + 0 - 2)*(-1 - 2 + 4) + 0 + 2 - 4 + 0 + 3 - 1)*(-3 + 3 - x). -12*x Expand (-1 + 4 - 4)*(3 - 3 + 16*a - 235*a). 219*a Expand (y + 0 + 0)*(-5 + 4 + 3) - y - 13 + 0*y + 17. y + 4 Expand (-2*s - 7*s + 3*s)*(4*s - 5*s + 0*s). 6*s**2 Expand (-2*h + 4*h - h)*(0*h - 2*h + h)*(-4 + 4 - 9*h). 9*h**3 Expand (n**2 - 5 + 5)*(1 - 2*n**2 - 1) + n**4 - 3*n**4 + 3*n**4. -n**4 Expand (-3*g**3 + 5*g**4 + 3*g**3 + (-2*g**3 + 3*g**3 - 2*g**3)*(-2*g + 2*g + g))*(1 - 1 - 2). -8*g**4 Expand ((-2*m**3 + 1 - 1)*(m - 3*m + m) - 5*m**4 + 3*m**4 + 3*m**4)*(0*m + 5*m - 4*m). 3*m**5 Expand (0*r - r - r)*(-33 + 33 - 9*r). 18*r**2 Expand (6*t**3 - 3*t**3 - t**3 + (-t**2 + 0*t**2 + 3*t**2)*(t - 2*t + 2*t))*(-1 + 4 - 4). -4*t**3 Expand -2*j**4 - 4*j**4 + 5*j**4 - 2*j**4 - 3*j**4 + 4*j**4 - 3*j - 2*j**4 + 3*j + (1 - 1 - 2*j)*(2*j**3 + 2*j - 2*j) - 2*j**4 + 8*j**2 + 0*j**4 - 9*j**2. -10*j**4 - j**2 Expand -6*x + 4*x + 3*x + (-1 - x + 1)*(2 + 0 - 4) + 3*x + 2*x - 4*x - 2*x + 0 + 0 + 1 + 2*x - 1 - 6*x + 2*x + x. x Expand ((v - 2*v + 0*v)*(-1 + 1 + 2*v**2) + v**3 + v**3 - 3*v**3 - 2*v + 2*v - 2*v**3 + 4 + v**3 - 4)*(4 - 3 + 3). -16*v**3 Expand (6*a**2 + a**2 - 3*a**2)*(2*a - 4*a + a) + (2 - 1 + 1)*(-2*a**2 - a**3 + 2*a**2). -6*a**3 Expand (-3*s**4 + 2*s**4 + 5*s**4 + s**4 - s**4 + 2*s**4 + (0 + 0 + s**2)*(-s**2 + 0*s**2 + 3*s**2))*(6 - 6 + 4*s). 32*s**5 Expand 0*m**4 - m**4 + 2*m**4 - 13 - 3*m**4 + 13 + (0*m + m + m)*(2*m**3 - 6*m**3 + 2*m**3) + 0*m**4 + 0*m**4 - m**4 + 2*m**3 - 2*m**3 - 4*m**4. -11*m**4 Expand (-4 + y + 4)*(3*y**4 - 4*y**4 + 3*y**4) - 2*y**2 + y**5 + 2*y**2 + y**3 + 2*y**5 - y**3 - y**5 - y**5 + y**5 + 3 + y**5 + 1 - 2*y**5. 3*y**5 + 4 Expand (-o + o - 2*o)*(-4 + 0 + 1). 6*o Expand (2*j - 2*j + j**3)*(2*j - 4*j + 4*j) + 827*j**3 - 827*j**3 - 7*j**4. -5*j**4 Expand (-24*u + 24*u - 2*u**2)*(3 - 4 + 4). -6*u**2 Expand (-14 + 14 - m)*(2 + 2 - 3)*(4 - 2 - 1)*(-1 - 2 + 1). 2*m Expand -24 + 24 + 5*d**4 + (0*d - 2*d**4 + 0*d)*(1 + 1 + 3). -5*d**4 Expand (13 - 13 - 11*i)*(-5 - i + 3 + 0*i). 11*i**2 + 22*i Expand (f + f - 3*f)*(-4*f - 11 + 11). 4*f**2 Expand (3*m**3 - 3*m**3 + m**3)*(0 - 7 + 5 - 5*m). -5*m**4 - 2*m**3 Expand (-1 - 3*u - 2*u**2 + 3*u)*(2 - 2 + 3). -6*u**2 - 3 Expand (-2*t**4 - t**5 + 2*t**4)*(3 + 2 - 3)*(-7 + 6 - 6). 14*t**5 Expand 0*w**2 - w**2 - w**2 + (3 + 2 - 4)*(-4 + 1 + 2)*(w - 2 + 2)*(w - 22*w - 22*w). 41*w**2 Expand (n**3 - 2*n**3 + 2*n**3)*(5 - 5 + 2*n). 2*n**4 Expand (4*r**2 - 17*r**2 + 3*r**2)*(-r + 3*r - 3*r) - 2*r**2 + 2*r**2 - r**3. 9*r**3 Expand -n**5 - 2*n**5 + 2*n**5 + n**3 + 14*n**5 - 3*n**5 + 4*n**5 + (0 - n + 0)*(n**4 + 2*n**2 - 2*n**2). 13*n**5 + n**3 Expand -2*a**5 + 2*a**2 - 2*a**2 + (3*a**2 + 4 - 4)*(-5*a + 5*a + a**3). a**5 Expand (3 - 2 - 9)*(-3*i**3 - 4*i**3 + 5*i**3). 16*i**3 Expand (i**4 + i**4 + 0*i**4)*(-1 + 1 - 2*i)*(8 + 8 + 4). -80*i**5 Expand (8 - n + n - n)*((4*n**2 + n**2 - 3*n**2)*(-2 - 2*n + 2) + 2*n - n**3 - 2*n). 5*n**4 - 40*n**3 Expand (2 - 3 + 0)*(-w + 0 + 0)*(4 + 6 - 1)*(0 + 0 - 1)*(2 + 2 - 5). 9*w Expand (2*a + 2*a - 3*a)*(0 - 3 + 1)*(-2 + 3 - 2)*(-5*a**2 + a**2 + 3*a**2). -2*a**3 Expand (0*l + l + l - 6)*(-4 + 4 + 1). 2*l - 6 Expand q**3 + 0*q + 0*q + (2*q**2 - 3*q**2 + 3*q**2)*(0 + 8 - 1)*(-2*q - q + 0*q). -41*q**3 Expand 0*z + 0*z + 2*z**2 + (3 - 5 + 5)*(-2*z**2 - z**2 + z**2). -4*z**2 Expand -2*b + 4 - 4 + (-1 - 1 + 3)*(-3*b + 2*b - b) + 2 - 2 + 3*b + (-1 - 1 + 1)*(-b + 0*b + 3*b) + b - 3 + 3. -2*b Expand (2 + 2*x - 2)*(-3 - 3 + 3). -6*x Expand (5*n + 0*n**2 - 2*n + 2*n**2)*(9*n - 4 - 16*n + 12*n). 10*n**3 + 7*n**2 - 12*n Expand (-10*y**2 - 5 + 5)*(y - 2 - 2*y - y). 20*y**3 + 20*y**2 Expand (5*v + v - 3*v + (-3*v - 2*v + 3*v)*(2 - 2 + 2))*(5 - 5 - 3*v). 3*v**2 Expand (2 - 2 + 2)*(6*x**3 - x**3 - 3*x**3 - 5*x**3 + 7 - 7 + (-x**3 + 2*x**3 + x**3)*(-1 - 1 + 0) + x**2 - 2*x**3 - x**2)*(4*x - 3*x + x). -36*x**4 Expand (1 - 1 + m)*(-9*m**2 + 2*m**2 + 0*m**2) + (2 + m - 2)*(-4*m**2 + 0*m**2 + 2*m**2) + 2*m**3 + 0*m**3 - 3*m**3 - 2*m + 0*m**3 - 2*m**3 + 3*m**3. -9*m**3 - 2*m Expand (-j + 3*j + 0*j + (-2*j + 0*j + j)*(-1 - 1 + 0) - 5 + 5 - j)*(-2*j + 2*j + 3*j). 9*j**2 Expand (4*z - 3*z + 5*z)*(0 - 5 + 1). -24*z Expand (-2 + u + 2)*(0 - 4 + 2)*(-u**2 - 2*u**2 - u**2). 8*u**3 Expand (0 - 3 + 4)*(6 + 0 + 0)*(0*s - s - s). -12*s Expand (-o - o + o)*(-o - 1 + 1) + (o - 4*o + o)*(-12 + 12 - 11*o). 23*o**2 Expand 2*h**2 - 3*h**4 - 2*h**2 + (4 + 0 - 2)*(2 - 3*h**4 - 2) - 4*h**4 + 5*h**4 + h**4. -7*h**4 Expand (3 + 0 - 2)*(0*c**3 + 9*c**3 - 2*c**3)*(4*c**2 - c**2 - 2*c**2). 7*c**5 Expand a**3 + 0*a**2 + 0*a**2 + (4*a**2 + 3*a**2 - 6*a**2)*(28 + 3*a - 28). 4*a**3 Expand -5*x**2 + 2*x**2 + x**2 + x - x - 2*x**2 + (0 - x + 0)*(1 + x - 1) + 2*x**2 + 2*x**2 - 3*x**2 + 5*x - 5*x + 3*x**2 + (x + 0*x - 3*x)*(-5*x + 6*x + 3*x). -9*x**2 Expand (-4 + y + 4 - 2*y + y + 3*y + (3 - 1 + 0)*(5*y + 0*y - 3*y) + 0 + y + 0 - 2*y + 3*y - 2*y)*(-2 - 4 + 5). -7*y Expand (2 - w**2 - 2)*(-22 + 6 + 9)*(-2*w + 4*w - 4*w)*(-2 - 2 + 2). 28*w**3 Expand (0*z + z - 2*z)*(-3 + 5 - 4 + (2 - 1 - 3)*(2 + 0 - 4) + 2 + 0 - 3) + (-4*z + z + 6*z)*(-1 - 1 + 0). -7*z Expand (0 - 1 - 1)*(-i + 3 - 3)*(i**2 + i**2 - 4*i**2). -4*i**3 Expand (0 - 1 - 2)*(-2*v + 0 + 0)*(167 - 5*v - 167). -30*v**2 Expand (-18 - 74*g - 14 + 33)*(-1 + 2 + 0). -74*g + 1 Expand (24*z - 24*z - 10*z**3)*(-2*z - z + 4*z) + 2*z**3 + z**4 - 2*z**3. -9*z**4 Expand -3*j + 2*j**2 + j - 3*j**2 + 2*j**2 + 3*j**2 - 2*j**2 + (4*j - 3*j + j)*(2*j + 0*j - j). 4*j**2 - 2*j Expand ((-h + 2*h + 2*h)*(0 - 5 + 4) + 2*h + h - h)*(-3*h + 3*h - 2*h**2) + 4*h - 4*h + 2*h**3. 4*h**3 Expand (2*p - 2*p + 2*p)*(-2 + 5 - 1) + 3*p + 0*p - 4*p + 3*p - 3*p - p - 6. 2*p - 6 Expand (2*i**3 + i - i)*(-1 + i + 1) - 31*i**4 + 9*i**4 - 8*i**4 + (0*i + i - 2*i)*(2*i + 2*i**3 - 2*i) - i**4 + i**4 - i**4. -31*i**4 Expand ((-2 - 1 + 5)*(3 - 1 + 0) + 1 + 0 - 3 - 1 - 1 - 2)*((0 - 3 + 2)*(-w + 2*w + 0*w) + w - 3*w + 4*w). -2*w Expand (0 - 1 + 0)*(-11*k - 23 + 23) - 5*k - 2*k + 5*k + (-3 - 3 + 5)*(-5*k + k + 3*k). 10*k Expand -3*h**2 - 4*h**2 + 6*h**2 + 0*h**2 - h**2 - h**2 + (0*h - 2*h + 4*h)*(0 - h + 0) + 2*h**2 + h**2 - h**2. -3*h**2 Expand (-10*n + 3*n - 4*n)*(3*n - 2*n - 3*n) - 5*n**2 + 4*n**2 + 4*n**2. 25*n**2 Expand -2*r + 2*r - r + (0*r - 5*r + 3*r)*(6 - 7 - 4) + r + 2*r - 5*r. 7*r Expand -1717*t**2 - 56*t**4 + 1717*t**2 + (-2*t**3 - 5*t**2 + 5*t**2)*(0*t - t + 2*t) - 3 - 3*t**4 + 3. -61*t**4 Expand (14*g + 3*g + 17*g)*(4 - 3 - 2 + (0 + 0 - 2)*(0 + 1 + 0) + 0 + 2 - 4). -170*g Expand (-3*r**2 - 4*r**2 + 0*r**2)*(-1 + 3*r**2 + 0*r**2 - r**2). -14*r**4 + 7*r**2 Expand (3*x + 2*x - 3*x)*(-9*x**2 + 0*x**2 + 5*x**2). -8*x**3 Expand (5*v - 3 + 3)*(-2*v**2 + 2*v**2 - 2*v**2). -10*v**3 Expand -4*l - 9 + l - 2*l + (2 + 0 - 4)*(2 + l - 2) + 3*l + 0*l - 4*l + l - 4*l + l. -10*l - 9 Expand (z - z + 5*z**3)*((-2*z**2 + 0*z**2 + 0*z**2)*(-3 + 2 + 2) - 4 + 4 - 5*z**2). -35*z**5 Expand (-9 - 6*x**2 + 9)*(0*x - 2*x + x) + 0*x**3 - 4*x**3 + 3*x**3. 5*x**3 Expand (1 + 4 - 4)*(-3*c + 4*c - 3*c) - c - 2 + 2. -3*c Expand (-5 - 2*z + 5)*(-4 + 4 + 2
{ "pile_set_name": "DM Mathematics" }
-52851. Let r(b) = -47*d(b) + 2*n(b). Let j = -1 - 1. Calculate j*r(k) + 3*g(k). -3*k**3 + 1 Let v(c) = c + 1. Let n = 3337 - 3338. Let g(m) = -25*m + 1. What is n*g(u) + v(u)? 26*u Let p(y) = 117*y**3 + 21*y**2 - 21*y. Let t = 4081 + -4086. Let o(l) = 29*l**3 + 5*l**2 - 5*l. What is t*p(r) + 21*o(r)? 24*r**3 Let l(i) = i + 1. Let a(r) = -r**2 + 2*r - 1. Suppose -k = -2*k - 277. Let z = k + 278. Calculate z*a(o) - l(o). -o**2 + o - 2 Let u(k) = -2*k**2 - k + 2. Let j(a) = -214*a**2 + a + 4. Calculate j(y) - u(y). -212*y**2 + 2*y + 2 Let m(k) = 15*k**2 + 4*k + 2. Let r(j) = -13*j**2 - 6*j - 2. Give -2*m(a) - 3*r(a). 9*a**2 + 10*a + 2 Let k(f) be the second derivative of -f**4/12 - 4*f**3/3 - 3*f**2 + 34*f. Let y(o) = o + 1. Suppose 140 = -33*a - 58. Calculate a*y(h) - k(h). h**2 + 2*h Let t(a) = -3 - 4*a - 1 + 5. Let z(m) be the third derivative of m**4/8 - m**3/6 - 4257*m**2 + m. Calculate 5*t(n) + 6*z(n). -2*n - 1 Let c(x) = -9*x. Let t(b) = b**2 - 1352*b + 9 - 2 + 1346*b. Let h be t(1). Let z(v) = -2*v. Calculate h*c(q) - 11*z(q). 4*q Let c(a) = 237*a + 792. Let n(d) = -13*d + 1. Give c(q) + 18*n(q). 3*q + 810 Let j(h) = -57*h - 12. Let w(y) = 7*y + 1. Calculate 2*j(b) + 14*w(b). -16*b - 10 Let c(z) = -4*z**2 - 6. Let y(i) = 2*i**2 - 9*i - 14. Let p(w) = -7*w**2 + 21*w + 29. Let h(l) = 3*p(l) + 7*y(l). Let v = 109 - 98. Determine v*c(r) - 6*h(r). -2*r**2 Let x(q) = 125*q - 475. Let o(m) = 21*m - 76. Let t(w) = -25*o(w) + 4*x(w). Let s(j) = 1675*j. What is -3*s(z) - 200*t(z)? -25*z Let a(x) = x + 16. Let v(i) = i**2 + 3*i + 54. Determine 10*a(g) - 3*v(g). -3*g**2 + g - 2 Let p(w) = 121*w - 122. Let l(a) = 146*a - 122. Determine 5*l(u) - 6*p(u). 4*u + 122 Let p = -9913 - -9914. Let w(n) be the third derivative of -7*n**6/24 + 7*n**5/15 - 14*n**3/3 - 5*n**2. Let q(f) = -f**3 + f**2 - 1. Give p*w(i) - 28*q(i). -7*i**3 Let t(h) = -22*h**2 - 3*h - 3. Let v(j) be the first derivative of j**2/2 + j - 408. Determine t(z) + 3*v(z). -22*z**2 Let r(k) = 10*k**3 - 11*k**2 - 5. Let h(c) = -20*c**3 + 21*c**2 - 35*c + 7. Let w(i) = -i**3 + i**2 - 7*i. Let u(y) = -h(y) + 5*w(y). What is -7*r(v) + 5*u(v)? 5*v**3 - 3*v**2 Let c(k) = -956*k - 6. Let j(b) = 309749*b + 1942. Determine -971*c(r) - 3*j(r). -971*r Let p(g) = -3*g**3 - 40*g**2 + 17*g - 1094. Let m(x) = x**3 + 14*x**2 - 6*x + 366. Determine 17*m(c) + 6*p(c). -c**3 - 2*c**2 - 342 Let f(j) = -12*j + 1. Let b be f(1). Let c(w) = -202*w + 405*w - 202*w - 3. Let u(r) be the first derivative of r + 2. Determine b*u(k) - 4*c(k). -4*k + 1 Let a(j) = -72*j**3 - 6*j**2 - 5*j - 187. Let f(v) = -454*v**3 - 38*v**2 - 31*v - 1121. Calculate 19*a(y) - 3*f(y). -6*y**3 - 2*y - 190 Let x(n) = -76087885*n**2 - 21363. Let c(l) = 14246*l**2 + 4. Calculate -21363*c(s) - 4*x(s). 14242*s**2 Suppose 32 = -779*f - 4642. Let l(m) = -5*m - 2. Let r(g) = 6*g + 3. Calculate f*r(c) - 7*l(c). -c - 4 Let z(f) = -2103 + 2105 + 105*f - 121*f. Let n(m) = -33*m + 4. Give -3*n(h) + 5*z(h). 19*h - 2 Let s(d) = -4*d**3 + 28*d**2 - 6*d + 6. Let b be 9 + (-333)/36 + (-41)/(-4) + -4. Let q(k) = k**3 + k - 1. Determine b*q(g) + s(g). 2*g**3 + 28*g**2 Let a be (-1396)/(-3141) + (-218)/(-36). Let s(j) be the second derivative of -a*j**2 + 29*j + 0 + 3/2*j**3. Let o(b) = -5*b + 7. What is 11*o(r) + 6*s(r)? -r - 1 Let g(p) = -24*p + 8. Let k(x) = 12*x - 1. Let n(m) be the second derivative of m**3/6 - m**2/2 - 2*m + 43. Let a(d) = k(d) + 4*n(d). Give -8*a(s) - 5*g(s). -8*s Let x(z) = -z**3 + 1. Let j = -583 + 585. Let y(h) = -j*h**2 + h - 3*h**3 - 400 + h**3 + 406. Give -6*x(b) + y(b). 4*b**3 - 2*b**2 + b Let z(n) = n**2 - n - 5. Let w(f) = 1412*f**2 - 5*f - 27. What is w(c) - 5*z(c)? 1407*c**2 - 2 Let h(p) = -9*p + 11. Suppose 15*m + 36 = 9*m. Let a(z) be the first derivative of -6*z - 1 + 5/2*z**2. Calculate m*h(f) - 11*a(f). -f Let d(m) = -13*m**2 + 2*m - 4. Let b = 12387 + -12385. Let g(c) = 4*c**2 - c + 1. Calculate b*d(a) + 7*g(a). 2*a**2 - 3*a - 1 Let g(m) = -5*m + 4. Let i(p) = 2*p - 2. Let j = 6 + 2. Suppose -v - 5 + j = 0. Suppose 21*a + 206 = 353. What is a*i(x) + v*g(x)? -x - 2 Suppose -z - 2*b + 12 = 0, 2*z - 4*z + 3*b = 32. Let u(a) = -12*a - 3. Let k(i) = -i. Give z*k(d) + u(d). -8*d - 3 Let g(u) = -u + 1. Let w(f) = 28*f - 2. Let v(i) = -5*i**2 + 19*i + 113. Let a be v(7). Determine a*w(m) + 2*g(m). 26*m Let p(c) be the second derivative of -c**2/2 + 2*c - 2. Let o(x) = -18*x - 4. Calculate o(w) - 2*p(w). -18*w - 2 Let p(l) = -9*l**3 - 9*l**2 + 5*l - 2. Let s(j) = 24*j**2 + 25*j**2 + 0 - 3*j + 3 - 4*j - 36*j**2 + 13*j**3. Give -7*p(d) - 5*s(d). -2*d**3 - 2*d**2 - 1 Let i(s) = s**2 + s - 1. Let l be 2/(-36)*-4 + 60/(-27). Let v(n) = -n**2 - 2*n. Suppose 0 = 3*y + 2*u - 5, -5*y + 5*u - 23 = 2. Calculate l*i(x) + y*v(x). -x**2 + 2 Let x(h) = -2*h**2 - 9*h - 13. Suppose 5*d = -4*d + 2232. Let v = 242 - d. Let q(m) = -m**2 - 5*m - 7. What is v*x(w) + 11*q(w)? w**2 - w + 1 Suppose 0 = 26*c + 4 + 170 + 8. Let k(a) = 9*a**2 - 2*a - 1. Let s(q) = 5*q**2 - q - 1. Calculate c*s(r) + 4*k(r). r**2 - r + 3 Let j(f) = 170*f**2 + 4*f + 2. Let u(q) = 736*q**2 + 15*q + 8. Give 26*j(t) - 6*u(t). 4*t**2 + 14*t + 4 Let i(b) = -31*b**2 - 5. Let t(d) = -d**2. Let a be (-11 - -8)*((2 - 2) + -1). Let j(m) = a*t(m) - i(m). Let q(s) = 546*s**2 + 98. Give 98*j(l) - 5*q(l). 14*l**2 Let d = 3739 + -3745. Let x(r) = r. Let a(f) = -3*f + 1. What is d*a(k) - 17*x(k)? k - 6 Let f be 3 + ((-14)/(-6) - (-154)/33). Let a(p) = 7*p - 11. Let r(b) = -22*b + 34. Give f*a(m) + 3*r(m). 4*m - 8 Let y(q) = -30*q. Let d(o) = -151*o + 794. Calculate -2*d(n) + 10*y(n). 2*n - 1588 Let c(r) = -2*r + 13. Let s(a) = 2*a - 14. Let j(q) = -18*q - 508. Let b be j(-28). Give b*s(d) - 5*c(d). 2*d - 9 Let x = -5 - -5. Let c(t) = -2*t**2 - 5*t + 5 + 4*t**2 - 4*t**2 + x*t. Let m(f) = f**2 + 3*f - 3. Let y = -227 - -232. What is y*m(q) + 3*c(q)? -q**2 Let l(d) = 2*d**2 - d - 3. Suppose 0 = 4*a - 3*a - 3. Let g(h) be the first derivative of 55 + 2*h + 1/2*h**2 - 2/3*h**3. Give a*g(f) + 2*l(f). -2*f**2 + f Let r(x) = 25*x + 12. Let f(j) = 14*j + 8. What is 7*f(h) - 5*r(h)? -27*h - 4 Let d(i) = i. Let c = 778 + -779. Let m(g) = 5*g - 4. What is c*m(s) + 4*d(s)? -s + 4 Let h(z) = -52*z - 684. Let w(j) = -25*j - 340. Calculate 2*h(a) - 5*w(a). 21*a + 332 Let l(z) = -4*z + 36. Let o(c) = 2*c - 17. Let u(k) = -6*l(k) - 13*o(k). Let g be u(7). Let m(v) = -5*v**3 - 15. Let d(r) = -2*r**3 - 7. Give g*d(t) + 4*m(t). -2*t**3 + 3 Let a(f) = -62*f + 3. Let w(p) be the third derivative of -2573*p**4/12 + 124*p**3/3 - 12*p**2 + 3*p + 7. Determine -248*a(v) + 3*w(v). -62*v Let v(n) = 61*n - 5. Let j(m) = -11*m + 1. Let b(y) = 11*j(y) + 2*v(y). Let t(q) be the second derivative of -q**2/2 + 15*q. Determine -3*b(g) - 4*t(g). -3*g + 1 Suppose 1102 = 21*s + 1207. Let t(d) = -32*d**2. Let r(w) = -32*w**2. Give s*r(x) + 4*t(x). 32*x**2 Let j = -237 - -242. Let s(v) = 102 - 44 - 57 + j*v. Suppose 0*n + 2*n - 26 = -4*f, -5*f + 1 = -2*n. Let x(b) = -16*b - 3. Give n*s(u) + 2*x(u). 3*u + 1 Let o(f) be the third derivative of f**4/24 - 1343*f**2. Let h(j) = 5*j - 1. Let a be (-8)/4*2/(-4). Determine a*h(m) - 4*o(m). m - 1 Let x = 0 - -4. Let l(q) = 4*q - 170. Let m(p) = 11*p - 594. Let c(d) = 7*l(d) - 2*m(d). Let g(t) = 17*t - 6. What is x*g(r) - 11*c(r)? 2*r - 2 Let c(o) = -43*o**3 + 6*o**2 + 3. Let z(w) = -39*w**3 + 5*w**2 - w + 2. Calculate -2*c(k) + 3*z(k). -31*k**3 + 3*k**2 - 3*k Let c(d) = 24*d - 1. Let k(f) = -12*f. Suppose 1258 = -98*z + 866. Give z*c(s) - 9*k(s). 12*s + 4 Let s(n) = n + 1. Let p(h) = -h**3 + 7*h**2 + 70*h - 13. Let q be p(-6). Let a(u) = -6*u + 34 + q + 41 - 113. Calculate a(z) + 4*s(z). -2*z + 1 Let i = -4331 - -4326. Let k = 7 - 4. Let d(w) = 9*w**3 + 5*w + 5. Let n(c) = 4*c**3 + 3*c + 3. Give i*n(s) + k*d(s). 7*s**3 Let f(a) = a**2 + 6*a - 2. Let i(b) = 24*b - 11*b + 3 - 20*b - b**2. Determine 7*f(w) + 6*i(w). w**2 + 4 Let a(u) = -151*u**3 + 6*u**2 + 6*u + 5. Let y(s) = 151*s**3 - 3*s**2 - 4*s - 4. What is 2*a(r) + 3*y(r)? 151*r**3 + 3*r**2 - 2 Let p(v) be the first derivative of 532*v**3/3 - 247*v**2/2 - 247*v + 3129. Let n(o) = -13*o**2 + 6*o + 6. Determine -247*n(m) - 6*p(m). 19*m**2 Let k(z) = 21*z**2. Let h(m) = 4*m - 6*m + 4*m**2 + 2*m + 38*m**2. Determine -4*h(c) + 7*k(c). -21*c*
{ "pile_set_name": "DM Mathematics" }
+ -651/10. Which is the closest to -1? (a) f (b) 0.5 (c) d c Suppose 24 = -161*o + 169*o. What is the closest to -1 in 0.59, o, -4? 0.59 Suppose 0 = 62*b - 37 - 149. Let g = -11495/4 + 2904. Let i = -30 + g. What is the nearest to i in 1, b, -7/5? 1 Let m = 0.229 + 0.271. Let y = 1432 - 24350/17. Let i be (-12)/10*(-3)/27. What is the closest to 0 in i, m, y? i Let l = -390 - -559. Let h = -675/4 + l. Let s = 4.5 - 5. Which is the closest to -3? (a) h (b) s (c) 2 b Let d = 894 - 894.3. Which is the closest to -1? (a) -45 (b) d (c) 2 b Let g = 183 - 173. Let y be (-3)/g + 4543/10010. Which is the nearest to 2? (a) -1/2 (b) y (c) -3/4 b Let n be -4 - 0 - 0 - (-38)/10. Let f = -1152 - -1154. What is the nearest to f in 2/9, -1/2, 3, n? 3 Let d = -1.2 + 0.2. Let n be 6*7/35*(-1)/3. Suppose -18 = -2*k - 4*o, 4*k = -11*o + 6*o + 30. Which is the nearest to k? (a) n (b) 3/5 (c) d b Let f be 42/8 + -2 + -3. Let w = -28.88 + 31.5. Let s = -2.52 + w. Which is the closest to s? (a) -2/7 (b) f (c) -0.3 b Let a = 16180 + -16182. What is the closest to a in 4, -1/14, 5? -1/14 Let v = 2.87 - 2.73. Let j = 0.02 - -0.02. Let y = j - v. Which is the closest to -0.1? (a) 0.5 (b) -1/2 (c) y c Let v = -74 - -171. Which is the nearest to 2/7? (a) -4 (b) v (c) -1 c Let u be (-165)/18 + 459/51. What is the closest to u in 4, -4, -4/29? -4/29 Let h be 21/(-6)*3/(-21). Let p = -10450 + 10449. Which is the nearest to h? (a) 4 (b) p (c) 1/4 c Let p = 5 + -8. Let x = -336.04 + 340. Let n = 3.86 - x. What is the closest to -0.2 in p, -1/6, n? -1/6 Let c = -132081/5 + 26416. Let r = 0.2 - 0.3. What is the nearest to 7 in r, c, 3/5? 3/5 Let g = -31.4 - -31.7. Let c = -29 + -8. Let s = c + 36.8. What is the nearest to 13 in -1, s, g? g Let d = -0.19 + 0.19. Let j = -6 - -9. Let k = 20.3 - 20.5. What is the nearest to k in d, -1/5, j? -1/5 Let f = -0.123 - -0.153. Let m = -21.1 + 15.1. Which is the nearest to 0.2? (a) m (b) -2 (c) f c Let g = -110.9 - -111.1. Let b = -22 + 22.88. Let w = 0.12 + b. What is the nearest to 2 in -4, g, w? w Let v(u) = -3*u**2 - 111*u + 111. Let d be v(-38). What is the nearest to d in 0, -10, 1, 3? 0 Let v = 2790 - 2789. Which is the nearest to -2.7? (a) -0.5 (b) v (c) 4 (d) -4 d Let k = -76 + 78. Suppose 2*w - 8 = k. Let d = -98 + 97.6. What is the nearest to 3 in 2, d, w? 2 Suppose 2*d + 2*q - 4 = 0, 2*q = 3*d + 2*d - 17. Let n = 67/4 - 17. Let b = 1.86 + -1.46. What is the closest to n in 1/4, b, d? 1/4 Let x = 213 + -456.3. Let f = 243 + x. What is the closest to 0.2 in -0.4, -1, f? f Let f be -2*((-6)/(-4))/3*0. Let y(h) = -25*h**3 - h**2 + h - 1. Let c be y(1). Let x = 105/4 + c. What is the closest to 0.1 in x, 0.3, f? f Suppose 121 + 263 = -159*p + 66. What is the nearest to 1 in -4, -3/7, -1/2, p? -3/7 Let p be (-14 - -13)/(10/4). What is the nearest to -7 in p, 1/3, -0.08? p Suppose 5*j - 10*j - 2*o = 46, -2*o = -4. Let v = -371 - -10018/27. Let s = v + 7/54. What is the closest to 1 in s, j, -4? s Suppose -16*f = p - 13*f - 3, -5*f + 1 = 3*p. What is the nearest to 2 in -10, 2/23, p? 2/23 Let x = -338 + 477. Let f = x + -136. What is the closest to -3 in 7, f, 2/11? 2/11 Let x be ((-4)/108)/(38/456). Which is the closest to 2.87? (a) 4 (b) -5 (c) x a Let t = -44 - -43.9. Let z = -25.3 - -25.4. Which is the closest to z? (a) t (b) 87 (c) 1/6 c Let z be (2/15)/((-2)/(-9)). Let o = -3 - 29. Let c = -162/5 - o. What is the closest to c in -3, 1/6, z? 1/6 Let c = -5605 - -5574. What is the closest to -0.1 in 2/11, c, -4, 4? 2/11 Let z = -19376 + 19375.5. Let c = -0.23 - 0.07. What is the nearest to -1/4 in -2, c, z? c Let v = 16217.88 + -16218. Which is the closest to v? (a) 0.4 (b) -10 (c) 3 (d) 2/7 d Let n be (-5024)/(-56) - (-2)/7. Let s be (160/n)/((-2)/12). Let u = -10 - s. What is the closest to -2 in u, -4, 2? -4 Let v(t) be the first derivative of t**3/3 + 14*t**2 + 125*t + 234. Let g be v(-6). Let d be 1 - ((-14)/18 - -2). What is the closest to 1 in -2/3, g, d? d Let d = 49.973 + -50. Let t = d - -1.027. Let o be (-4)/14*(-77)/(-55). Which is the closest to t? (a) 8 (b) 0.1 (c) o b Let r = 225/28 - 31/4. Let i(k) = -k**3 - 25*k**2 - 3*k - 80. Let c be i(-25). What is the nearest to r in c, 2, 54? 2 Let m = 4.26 + -4.32. Let i = 5.9 + -6.3. Which is the closest to -1? (a) 3 (b) i (c) m b Let l be (((-9)/(-6))/3)/((-35)/70). What is the closest to -0.03 in l, 2/5, 39? 2/5 Let q = 1479 + -1480. Let f = -32/11 - -458/165. Which is the nearest to 1/3? (a) f (b) 3 (c) q a Let q be (-4)/(-1) + 2/(-1). Let l = 1568.35 + -1568.22. Which is the closest to l? (a) -1 (b) -1/4 (c) q b Let u(q) = -3*q - 5. Let x be u(5). Let r = 32 + x. Suppose -d - 4*f = -3*d - 8, -5*f + r = -2*d. Which is the closest to -2/7? (a) d (b) -1/9 (c) 0.4 b Let b = -4 + 10. Let l = -18951 - -18954. What is the nearest to b in 0.2, l, 2/7? l Let h be 10/36 + 4/(-8). Let z = -9106 - -9102. What is the closest to 1 in h, 2, z? 2 Let q be (-1)/(14 + (-18 - 0)). What is the closest to -2/5 in 0.1, q, -0.12, -5? -0.12 Let r = -45114 - -45117. Let t = 0.2 + -0.3. Suppose -2 = 11*m - 9*m. What is the closest to m in t, -5/2, r? t Let d = 79.2 + -86.2. Let w be 4/(-3) - 28/(-30). Which is the closest to w? (a) -3 (b) 0.3 (c) d b Suppose 0 = -q - 39 + 44. Which is the closest to -0.3? (a) 6/13 (b) q (c) 3 a Let x = -2.9 + 149.9. Let y = 148 - x. Let r = -47/130 - 1/26. Which is the closest to 2? (a) y (b) 2/11 (c) r a Let f = 715.632 + 1.368. Let x = 720 - f. Let j = -30.1 + 33. What is the closest to -1/4 in x, 2/11, j? 2/11 Let b = 1946.0787 + -1946. Let l = -0.0213 - b. Let f = -10 + 32/3. What is the nearest to l in 4, f, 1? f Let k = -2.76 - 0.12. Let x = k + -1.12. What is the closest to -1 in -0.4, 0.2, x? -0.4 Let s = 8316 + -8317. Which is the nearest to s? (a) 2/25 (b) 4 (c) -1/2 (d) 0 c Let d = 10 + -17. Let t = 1613.8 - 1614. Which is the closest to 1? (a) t (b) -1/4 (c) d a Let v = 4 + -2. Let f(n) be the second derivative of n**4/4 - 5*n**3/6 + n**2 + 2*n - 563. Let m be f(v). What is the closest to -3/2 in -0.4, 0.5, m? -0.4 Suppose -h = 2*h. Let x = -11341.5161 + 11341. Let g = -0.0161 - x. What is the closest to 4 in h, -0.2, g? g Suppose -2*a - 3*f - 617 = 0, 31*f - 963 = 3*a + 28*f. What is the closest to a in -4, 2/13, 1, 0.1? -4 Let n be -1 + 1 - (19 + 2376/(-126)). Let w = -0.9 + 2.2. Let j = w + -2.3. What is the nearest to -3 in 1, n, j? j Let t = -2617005/7 + 373855. Let j = 3.08 - 0.08. Which is the closest to t? (a) 5/4 (b) j (c) 2/13 c Suppose n + 5*j = -25, -3*n = 2*n + j + 5. What is the closest to 0.2 in n, -7, -0.5? n Let d = -0.1 + 2.1. Let f = 773/1005 - 34/201. Which is the nearest to d? (a) 0.05 (b) -3 (c) f c Let t be ((60/35)/(-2))/((162/28)/(-9)). What is the nearest to -2/3 in 0, -2/11, -10/7, t? -2/11 Let p = 31.81 + -32.81. Let r = 0 + 0. Suppose r = x + j + 3, 0 = 3*x + 2*x + 4*j + 13. What is the nearest to x in -5, p, 1? p Let t be (-9)/7 - (14/(-2) + 6). Let f = -4 + 13. Let y = -47 + 47.2. What is the nearest to t in -1/4, f, y? -1/4 Let p be (-6)/(-18)*1*3. Let w be (p/(1*5))/(240/(-300)). Which is the closest to 0? (a) w (b) -0.7 (c) -10 a Let i be ((-12)/90)/((-4)/5). Let h = 0.991 - 1.091. Which is the nearest to 2? (a) 6 (b) h (c) i c Let l = 166 - 227. Let j = 61.9 + l. Let x be (-108)/(-56) + 1/7*-3. Which is the nearest to 0.2? (a) -0.1 (b) x (c) j a Suppose 1787 - 107 = 10*o. Let d be ((-8)/(-14))/((-144)/o). Let s = -7/36 + 149/396. What is the closest to s in -5, d, -3/4? d Let o = -32.55 - -28.55. What is the closest to -1 in 33, 0.1, o? 0.1 Let h = 0.37 - 12.37. Let o = -7 - h. Let x = o + -5.1. What is the closest to 0 in 2/11, x, 0.5? x Let s = -5 - -5.2. Let h = 0.603 + -1.103. What is the closest to -0.1 in s, 1.5, h? s Let q = -0.045 - -0.345. Let t = -78.3 + q. Let c = -82 - t. What is the closest to c in -0.5, 0.5, -1? -1 Let j = -0.04096 + 0.54096. What is the nearest to -1 in 3, 0.1, j, -0.3? -0.3 Let u = 752 + -3759/5. Let f = 1.7 + -1.8. Which is the closest to u? (a) f (b) 0 (c) 7 b Let a = 1617.4 - 1358. Let n = a - 259. What is the closest to n in 4, -3, -2? -2 Let x = -703/2 + 350. Which is the closest to
{ "pile_set_name": "DM Mathematics" }
3. Let x be q(-8). Let b(d) = 4*d + 1. Let j be b(-1). Sort x, 5, j in descending order. 5, x, j Let j = 3.2 - 0.2. Let k = -3.7 - -0.5. Let m = k + 3.2. Sort m, 0.1, j in descending order. j, 0.1, m Let o(i) = i**2 - 2*i - 6. Let v be o(-5). Suppose -3*k + v = -5*j, 4*j + 10 = -k - k. Put -2, 0, j in increasing order. j, -2, 0 Suppose -l + 18 = 3*g, -4*l - 10 - 3 = -5*g. Suppose 0 = -l*i + 5*o - 10, o - 3 = -1. Let t = -7 + 4. Sort -0.1, i, t in increasing order. t, -0.1, i Suppose -t + 6*t = 15. Suppose -4*q = 4 + 4. Let c be 2/(0 + q)*3. Put 5, t, c in descending order. 5, t, c Let g be -4*-4*12/(-576). Let r = 461/17 + -27. Let n = -2.8 + 3. Sort r, g, n. g, r, n Suppose 13*w = 45*w. Sort -1, w, -2, -8 in ascending order. -8, -2, -1, w Let v(g) = g**3 + 5*g**2 - 6*g + 2. Let o be v(-6). Suppose -2*z = 0, 2*w + 4*z + 10 = -0*z. Put o, 0.5, w in decreasing order. o, 0.5, w Suppose 4*d = -7 - 17. Let p be ((-20)/(-30))/((-1)/d). Let i = -2 - -3. Sort -3, i, p in descending order. p, i, -3 Suppose 15*u - 10*u - 10 = 0. Let d be (-133)/38 + (-3)/u. Sort d, -1, 5 in descending order. 5, -1, d Suppose g + 0*n = -5*n - 15, 2 = -2*g - 3*n. Suppose 0 = -3*l - 5 - 4. Let z = -8 + 7. Put l, g, z in decreasing order. g, z, l Let g = -37.8 + 38. Let j = -17.6 + 18. Sort j, 0.9, g in increasing order. g, j, 0.9 Let z be (-31)/(-527) - (-49)/(-255). Sort -0.2, -12, -13, z in increasing order. -13, -12, -0.2, z Let y be (-10)/(2 - 45/10) - 0. Let j(u) = -8*u**3 + u**2 - u. Let s be j(1). Let d be s/5 - (-6)/(-15). Put d, y, -1 in descending order. y, -1, d Let l = 10 + -46/5. Put -1, 4, l, 12 in descending order. 12, 4, l, -1 Let o be 4 - 375/380*4. Put o, 4, 2/15 in decreasing order. 4, 2/15, o Let q(n) = 8*n - 27. Let t be q(9). Let y be (-11)/(-9) + (-10)/t. Let b = 19 + -19. Put b, 5, y in ascending order. b, y, 5 Let x = 3 + -3.3. Let r = 44 - 24. Let v = r - 24. Put v, 5/3, x in decreasing order. 5/3, x, v Let j = -977 - -981. Let s(c) = 2*c + 7. Let g be s(-5). Suppose -k = -6*k. Sort k, j, g in decreasing order. j, k, g Let a be 2/(-4)*46/(-138)*9. Sort -0.006, 2, -2, a in increasing order. -2, -0.006, a, 2 Let y = -113 - -66. Let q = y - -56. Sort 1, -2, q. -2, 1, q Let g = 37 + -23. Let x = -13.5 + g. Sort 10, 0.1, x in decreasing order. 10, x, 0.1 Let h be (-24)/14 - -2 - 0. Sort -7, h, 2/9. -7, 2/9, h Let n = -0.91 - 2.79. Let r = n + 8.7. Put -0.5, 1/2, r in decreasing order. r, 1/2, -0.5 Let i(r) = -r**2 - 3*r + 1. Suppose 2*q - 7*o + 3*o + 34 = 0, 0 = 5*q - o + 40. Let c be q + -3 + 4 + 2. Let j be i(c). Put j, -5, -2 in decreasing order. -2, j, -5 Let s = 1610/117 - 176/13. Sort -2/3, -5, s, -6/7 in increasing order. -5, -6/7, -2/3, s Suppose -5*a = -251 + 96. Sort -5, a, 1, 3. -5, 1, 3, a Suppose 6*x - 201 = 141. Let u = 55 - x. Sort u, 3, 0.08. u, 0.08, 3 Suppose -7*q = -3*q - 320. Let u be (-22)/5 + 32/q. Put u, 4, 5 in decreasing order. 5, 4, u Let s be 6/8 + (-1140)/2160. Sort s, -7, -0.01, -2/11. -7, -2/11, -0.01, s Let b = -0.068 + 0.04. Let a = b - -5.028. Let k(l) = -l**3 + 6*l**2 + 6*l + 10. Let w be k(7). Sort 1, w, a. 1, w, a Suppose 0 = -5*d + 7 + 8, 0 = -4*s - 4*d + 28. Let i = s - 13. Let p be (-1)/(-2 - (-6)/i). Sort 1, 0.5, p in decreasing order. 1, 0.5, p Let v be 5*(-1 + 1*2). Suppose 1 = -3*p - 14. Sort p, -3, v in ascending order. p, -3, v Let j = -69 - -68. Suppose 1 = -3*w - 5*l + l, -2*w + 6 = -4*l. Let x = 3 - 8. Sort j, x, w in ascending order. x, j, w Let k = -232 - -232. Put -2/3, 1, -1/18, k in descending order. 1, k, -1/18, -2/3 Suppose 0 = 3*u - 0*u + 15. Let d(o) = -3*o**2 + 13*o - 2. Let n be d(4). Put n, u, 5 in ascending order. u, n, 5 Suppose 281 = 5*q - 4*d - 354, 3*q = d + 381. Let c = q - 2161/17. Put 0, c, 3 in descending order. 3, 0, c Let p = -317 + 325. Sort 3, 1, 4, p in increasing order. 1, 3, 4, p Let i(g) = -4*g + 43. Let l be i(0). Let x = l - 44. Sort 2, -6, 3, x in ascending order. -6, x, 2, 3 Let o = -521/2580 + 1/516. Sort o, -2/7, -0.23 in decreasing order. o, -0.23, -2/7 Let g = 85 + -61. Let x = 26 - g. Suppose 4 = -8*d + 4*d. Sort d, 3, x. d, x, 3 Let d be ((-2)/7)/(3/(-84)). Suppose d*b = 5*b + 9. Suppose -9 = -3*r + 6. Sort b, r, 0 in decreasing order. r, b, 0 Let l be (-1)/(-6) - (-74)/4884. Sort l, 1/4, 2, 45 in decreasing order. 45, 2, 1/4, l Suppose 0 = -o - 5*l - 4, 7*o - 4*o + 5*l = -2. Let t(a) = a**2 + 5*a - 3. Let s be t(-6). Let g = -11 + 9. Sort o, g, s. g, o, s Let f = -4963/15 - -331. Sort -1, 39, f. -1, f, 39 Let w(y) = -15*y**3 + 2*y**2 + y. Let f be w(-1). Let j be (-12)/3 + (-3)/(6/(-16)). Put f, -1, j in increasing order. -1, j, f Suppose -2*n - 4*a - 13 = -n, 3*a = 5*n - 4. Let r be ((-21)/35)/(n/10). Suppose -f + 5 = 2. Put 4, f, r in descending order. r, 4, f Let t = -3.8 + 0.8. Let h be ((-16)/44)/1*2/(-4). Let y = -1.94 - -2. Put y, t, h in increasing order. t, y, h Let p be -5*((-11)/5 + 2). Let s be (15/6)/(2/4). Suppose 0 = -2*h - 15 + s. Sort h, p, 0 in decreasing order. p, 0, h Suppose 0*l = 3*l - 9. Suppose 3 = -3*h - 5*r - 1, -5*r - 8 = h. Sort 4, l, h in decreasing order. 4, l, h Suppose 38*i + 18 = -20. Put -5, 40, -4, i in ascending order. -5, -4, i, 40 Let p be (10/(-15))/((-12)/1458). Sort -5, p, 4, -2 in descending order. p, 4, -2, -5 Let l(f) = -3*f**3 + f**2 - 1. Let d be l(1). Let a be (-4 - -7)/(d/5). Put 4, a, 12 in descending order. 12, 4, a Let n = -4 - -6. Suppose -a = m + 4, n*a = -3*m + 5*m + 12. Let u = -597 + 601. Sort -3, m, u in increasing order. m, -3, u Suppose 30 = 3*z + 2*a, 3*z + 4*a - 32 = 4. Suppose -4*t = 4*y + t + 16, -2*y - 2*t - z = 0. Sort 2/9, -5, y in descending order. 2/9, y, -5 Let l(w) = 5*w**3 - w**2 + 5. Let k be l(-2). Let v = k + 39. Sort -2, -19, v in ascending order. -19, -2, v Let s(b) = -2*b**3 - 13*b**2 + 4*b - 7. Let i = 175 + -182. Let g be s(i). Sort 5, g, -2 in descending order. g, 5, -2 Suppose 0 = 5*u - 15*h + 14*h - 17, -4*h - 20 = -4*u. Suppose -2*m = -5*m - 6. Sort u, m, 5, 4. m, u, 4, 5 Let s = -219.1 - -199. Let j = -3.1 - s. Let r = j - 13. Sort r, -17, -4 in decreasing order. r, -4, -17 Let g(y) = 4*y - 2. Suppose -2*a = -4, -5*a + 3 = -2*x - 3. Let r be g(x). Suppose -r - 9 = -5*b. Sort -3, b, 4 in descending order. 4, b, -3 Let x = 4.6 + -6. Let u = -1.2 - x. Let t = -0.9 + 1. Sort u, t, -3. -3, t, u Let f = 257 + -253. Put 3, -34, f, 2 in decreasing order. f, 3, 2, -34 Let u = -488 - -539. Put 1, -1, -3, u in ascending order. -3, -1, 1, u Suppose 0 = 5*n - 2*n - 12. Suppose -z = -2*p - 4, -7*p + 6 = z - 8*p. Let w = z - n. Put w, 7, 1 in increasing order. 1, w, 7 Let i be 55/44 - 5/4. Suppose 3*c = -i*c + f + 2, 5*c = -f - 10. Sort c, 3, 1, -5 in ascending order. -5, c, 1, 3 Suppose -122*s - 152 = -114*s. Put -2, 4, s in increasing order. s, -2, 4 Let k(s) = s**2 - 7*s - 1. Let c be k(0). Sort 4, -4, c, 11 in increasing order. -4, c, 4, 11 Let r be (-1)/4 + (-52)/(-16). Let y(p) = 9*p - 18. Let k be y(3). Put r, k, 0 in increasing order. 0, r, k Let j = 859 + -855. Sort -12, 3, j. -12, 3, j Let n = 2.1 + -1.97. Let k = n - -3.87. Sort 5, -0.1, k. -0.1, k, 5 Let f = -58 - -72. Let o be f/(-2)*9/((-252)/8). Sort o, -5, 3. -5, o, 3 Let s = -6 + 5.7. Let z(f) = -4*f - 6. Let v be z(-2). Suppose -v - 2 = u. Put s, u, -1/2 in decreasing order. s, -1/2, u Let q = -1834 + 1837. Put 4, 1, -1, q in descending order. 4, q, 1, -1 Let z be 3/(-6)*2/3. Let o = -0.45 + 0.05. Let s = 81 + -81.3. Put z, s, o in increasing order. o, z, s Let p = 233 - 237. Sort -2, p, -0.1 in descending order. -0.1, -2, p Suppose -9*n + 2*n = 966. Let r be (1/(-16))/(23/n). Let a = 4 - 8. Sort a, r, -1 in increasing order. a, -1, r Let q = 1375.6 + -1376. Put q, -5, -117 in descending order. q, -5, -117 Suppose -v - 35 = 4*v. Let i be v/3*3*-1. Let h = i + -12. Sort h, -1, -3 in decreasing order. -1, -3, h Suppose -4*r = -8 - 0. Let c = -1 - 0. Sort -12, -5, c, r in ascending order. -12, -5, c, r Let v = -583.4 + 583. Sort -2/3, 0, v, 2. -2/3, v, 0, 2 Let y = -15 + 11. Let r(f) = f + 12. Let l be (8*-1)/1 - 0. Let o be r(l). Sort y, 3, o in descending order. o, 3, y Suppose 0*x = 8*x + 184. Let v = x + 6. Sort 4, 0.1, 3, v. v, 0.1, 3, 4 Let v = 1412 - 1413. Sort -13, v, 5 in decreasing order. 5, v, -13 Let p = 1 - 4. Let l
{ "pile_set_name": "DM Mathematics" }
r. 1 Solve -g = -b - 1, -3*g + 2*b - 3*b = 13 for g. -3 Solve -2*y - 3*q + 6 + 5 = 0, 0 = -4*y + 5*q + 11 for y. 4 Solve 18 = 2*b + 4*m, 0 = 4*b + 5*m - 50 + 17 for b. 7 Solve -3*v = -5*r + 6*r + 9, -v - 3 = -5*r for v. -3 Solve 0 = -2*j + 3*h - 1, 103*h + 2 = 105*h for j. 1 Solve u - 2*u - 3*h = 0, 2*u + 3*h = 0 for u. 0 Solve -3*v - 3*h + 6 = 0, -2*v - 3 = -h + 2 for v. -1 Solve 5*z + 9*p = 5*p - 21, 4*z = 3*p - 23 for z. -5 Solve -4*o + 4 = -0, -8 = -3*y + 4*o for y. 4 Solve -13 = 2*x - r, 5*x = -r - 4*r + 5 for x. -4 Solve 3*o = -15, -35 + 11 = 3*m + 3*o for m. -3 Solve 2*b + 17*s - 21*s - 18 = 0, 0 = -b - s + 3 for b. 5 Solve -2*w - 8 = 5*d, -3*w - 5*d + 16 = -7*w for w. -4 Solve 7*l - 9*l = r + 7, r = 5*l + 28 for r. 3 Solve 0 = -5*w + 10*w + h + 4, -2*w - 5*h = -3 for w. -1 Solve -3*c + 5*c + 6 = -2*r, r = -2*c - 1 for c. 2 Solve 4*v = -5*l + 16, 2*v + 12 - 18 = -2*l for l. 4 Solve -3*i + 2*t + 12 = -4*i, -32 = 4*i + 4*t for i. -4 Solve -3*b - 17 = l, -2*b - 2*l = 2*b + 24 for b. -5 Solve t = -3*t - 2*a - 10, 4*a = 4*t - 20 for t. 0 Solve 266*k - 12 = p + 263*k, k + 9 = -4*p for p. -3 Solve 16 = -2*u - 3*n + 3, 0 = -4*n - 4 for u. -5 Solve 3*y = -i - 17, -3*i + 34 = -4*y + 20 for i. -2 Solve -5*d + 5 = 4*z, 2*d = z - 0*d + 15 for z. -5 Solve -5*l - m - 18 = 0, 4*l + 0*l + 5*m + 6 = 0 for l. -4 Solve 3*z + 23 = -5*j, 2*j + 7 = 5 for z. -6 Solve 6 = 4*v + s + 10, -5*s = -v - 1 for v. -1 Solve 4*h + 23 = 3*u, 0*u - u + 2*h = -9 for u. 5 Solve -u + 8 = -2*m, -5*u = -5*m - 68 + 53 for m. -5 Solve 2*n - 5*n = g - 3, -3*g = 4*n - 9 for g. 3 Solve -4*q = 0, 2*m + 2*m + 12 = -q for m. -3 Solve 5*r = 4*z + 27, z + 0*z = 3*r - 12 for z. -3 Solve 0 = 5*b - 2*s + 4, -4*s = 4*b - 7 - 1 for b. 0 Solve 2*t + p - 7 = 2*p, 4*p = 3*t - 3 for t. 5 Solve -4*u + 6 - 10 = 0, b = -4*u for b. 4 Solve -2*s + 3*m = 4 + 3, 4*s = -5*m + 19 for s. 1 Solve 3*u - 19 = -4*d, 11*u - 8*u + 9 = 3*d for d. 4 Solve 0 = 4*u - 3*u - 3*f + 1, 4*f = -4 for u. -4 Solve -3 + 0 = -v - 2*c, -v = -2*c + 9 for v. -3 Solve -6 = -2*c + 4*r, 4*c - 58 + 36 = -2*r for c. 5 Solve 4*v - 8 = 0, -3*v + 8*v = o + 14 for o. -4 Solve 0 = -2*l + v + 13, -84*v + 88*v + 4 = -4*l for l. 4 Solve 0 = -i - 4*i + 4*c + 13, -3*c + 9 = 0 for i. 5 Solve -5*z + 2*d = 3*d + 23, 2*z + 2 = -4*d for z. -5 Solve 0 = -27*l + 23*l + 4*n, -36 = 5*l + 4*n for l. -4 Solve 3*p - 6 = -3*h, h - 5*h + 5*p = -35 for h. 5 Solve -l = -d + 6, -5*l + 4*d - 3*d = 10 for l. -1 Solve -4*y + 5*s + 14 = 56, 0 = -4*y - s - 6 for y. -3 Solve -5*t - 15 + 20 = 5*c, -8 = 2*c - 3*t for c. -1 Solve 5*c - 3 = s + 6*c, -3*s + 5*c = -23 for s. 1 Solve 17 = 3*x + 2*b, 2 = 3*b - 1 for x. 5 Solve 5*b = 4*p + 40, -2*b + 8 = -2*p - 10 for p. -5 Solve -5*y + 5*v = -15, 24 = -4*y - v - 4*v for y. -1 Solve 0 = 3*w - p - 4*p - 12, -w + 2*p = -4 for w. 4 Solve 17 = -3*m - 3*v + 23, 5*v = 5*m - 20 for m. 3 Solve 0 = 3*b + 5*p + 10, 6*p = 3*b + 5*p - 2 for b. 0 Solve 22 = 5*z - 3*r, 0 = -2*z + 2*r + r + 7 for z. 5 Solve 0 = 4*p + 5*d - 18, d = -5*p + 2*p + 8 for p. 2 Solve 2*x + 4*q = 4, 4 = q - 5*q for x. 4 Solve 5*x - 5*t + 10 = 0, -2*t = 3*x + 17 - 6 for x. -3 Solve -2*b - 4*y - 12 = -0*y, b - 22 = 5*y for b. 2 Solve -2*x + n = 3*x, 4*x = 4*n for x. 0 Solve 5*v = 0, 3*b - 5*v = 7 + 2 for b. 3 Solve 5*j - 4 = 5*o + 11, -3*j = 2*o + 1 for o. -2 Solve -4*y + 8 + 4 = 0, -2*k - 3*y = -9 for k. 0 Solve 3 + 7 = -o + 2*y, -3*y = -3*o - 21 for o. -4 Solve 0 = -4*i - x + 2 - 16, -6 = 2*i + x for i. -4 Solve 0 = -o - 2*d + 3 + 3, o - 11 = -3*d for o. -4 Solve 3*b = 5*w - 3, -11*w + 5*b = -18 + 5 for w. 3 Solve 5*o - 102 + 97 = 3*s, 28 = -4*s - 4*o for s. -5 Solve -3*f = -g + 10, 3*f - g + 14 = 4*g for f. -3 Solve 5*k = 4*x + 6, 8*k - x = 4*k + 7 for k. 2 Solve -5*y + 5*q = 15, 12 = 4*y - 22*q + 24*q for y. 1 Solve 5*w + 7 = 3*p, -1 = 6*w - 3*w - 5*p for w. -2 Solve 0 = 5*q - 4*k - 8, -4*k = 3*q - 9*k - 10 for q. 0 Solve 5*k - 4*d + 1 = -1, -2 = 3*k - 2*d for k. -2 Solve 0 = -2*r + 5*w - 3 - 6, 3*r - 3*w = 0 for r. 3 Solve 5*i - d - 16 = 0, 3*i - d - 10 = -0*d for i. 3 Solve -j + 6 + 1 = -5*o, 5*j = o + 35 for o. 0 Solve o = -3*k + 7, -3*k - 6 = -4*o + 7 for o. 4 Solve 40 = -4*j - 5*l + 16, 2*j + 6 = -l for j. -1 Solve -43*d + 12 = -40*d, -12 = 4*j - 3*d for j. 0 Solve 2*p = -2*b, 4*p + 51 = 5*b + 24 for b. 3 Solve -3*m - 2*u = 2, 5*m = -4*u - u for m. -2 Solve o + 13 = -y + 3*o, 0 = 2*y - o + 14 for y. -5 Solve -14*s + 4 = -2*p - 11*s, 5*s = 20 for p. 4 Solve -2 = -2*y + 4*t, 0 = -6*y + 5*y - t - 2 for y. -1 Solve 5*f + 11 = -c, 9*f - 6*f = -3*c - 9 for c. -1 Solve -5*n + 4 + 21 = 0, 0 = -4*q + 2*n + 18 for q. 7 Solve -1 = 2*d - s, -11*s + 16*s = -2*d + 17 for d. 1 Solve 0 = u + 3*v - 244 + 250, v = u - 6 for u. 3 Solve c = y, 4*y = 2*c + 57 - 63 for y. -3 Solve 2*w + 11 = -3*p, -17*p + 4*w - 5 = -14*p for p. -3 Solve -t + 3*q = 5*q + 9, 3*t = q - 6 for t. -3 Solve 2*n = 0, -13*k + 5*n - 6 = -16*k for k. 2 Solve 0 = -4*m - 2*d - 20, 0 = -10*m + 14*m + 3*d + 24 for m. -3 Solve -3*y + 5*r - 16 = -y, -y - 2*r = -10 for y. 2 Solve -2*b = -5*h - 15, 4*b = 5*h + 9*b + 15 for h. -3 Solve -5*r = -10*r + 20, -4*n - 4*r - 4 = 0 for n. -5 Solve 15 = -5*x - 5*z, 22*x - 18*x - 5*z = -21 for x. -4 Solve -1 = -5*j + 4*s, 5*s = -2*j + 4*s + 3 for j. 1 Solve 4*j + 19 = -5*z, -5*j = -3*j - 4*z - 10 for j. -1 Solve -2*t + 0*t + 2 = 4*c, 0 = 5*c - 2*t - 16 for c. 2 Solve 28 - 38 = 2*a + 5*g, -6 = -3*a + 3*g for a. 0 Solve -2*v + 30 = -5*c, 3*v + 3*c = -2*c - 5 for v. 5 Solve 2*g - g - 17 = 4*p, 5*p = -4*g - 16 for p. -4 Solve -g = 3*w - 14, -4*g = -2*g - 3*w + 8 for g. 2 Solve -f - 15 = -5*y, -f - 2*y = -3*y - 1 for f. 5 Solve 5*z = -2*d + 11 + 1, 0 = -3*z + 4*d + 2 for z. 2 Solve 5*i + 20 = -2*f, -2*i + i - 2*f = 4 for i. -4 Solve -4*k - 2*z - 24 = 0, -4*z - 18 = 2*k + 6 for k. -4 Solve -3*m + 5*y - 22 = 0, 5*y - 4*y + 6 = -2*m for m. -4 Solve -3*c - 2 = 2*k - c, 0 = -5*k + 5*c - 25 for k. -3 Solve -3*t + w - 1 = 0, 85*t - 1 = 83*t - w for t. 0 Solve -4*z + 5*d + 47 - 10 = 0, 2*d = z - 13 for z. 3 Solve -31*n + 36*n = -25, -2*n - 6 = t for t. 4 Solve 3*m = 4*q + 2*m - 12, -30 = -5*q + 5*m for q. 2 Solve 109*v = -3*i + 108*v - 9, -4*v - 6 = 2*i for i. -3 Solve 8*k - 10*k = -10, -5*z - 2*k + 30 = 0 for z. 4 Solve -5*p + 5*f = -54 + 49, 0 = 3*p + 5*f + 29 for p. -3 Solve 4*j = -2*p - 3*p - 16, -2*p = -4*j - 16 for j. -4 Solve -4*g + 4*m + 8 - 56 = 0, -5*g - 56 = -4*m for g. -8 Solve 5 = -3*l - v, 3*l + 2*l - 4*v = 3 for l. -1 Solve 20 = -81*f + 86*f + 4*r, 5*r = 5*f - 20 for f. 4 Solve -6*z - 4*p = -4*z + 10, 4*z + 3*p = -20 for z. -5 Solve 1 = -c, -8*r - 4*c - 4 = -4*r for r. 0 Solve 3*q - 9 = 4*f, -16*q = -16*q - 2*f for q. 3 Solve -l = y - 3, -4*l = 2*y - 2 - 12 for l. 4 Solve 2*a = -5*d - 3*a + 35, 0 = 3*a - 12 for d. 3 Solve -2*w + 5*i - 33 = 0, 1 = w - 7*i + 8*i for w. -4 Solve 5*y = 3*l - 5, y + 59 - 58 = -l for l. 0 Solve 0*v = v + 3*x - 2, -2 = -v + 3*x for v. 2 Solve 5*p = -5*g + 10, -2*p = -g - g for g. 1 Solve -5*f - 19 = b, -9*f + 13*f = -5*b - 32 for f. -3 Solve -3 = -x + 2*i, 10*x = 9*x + 5*i for x. 5 Solve 3*f + 12 = 3*k, -4*k + 9 = 13 for f. -5 Solve 5 = 5*q, t + 2*q - 17 = -2*t for t. 5 Solve g - 2 = -u, -2*u = -6*u + 4*g - 24 for u. -2 Solve 26 = -2*i - 5*o + 19, -i = 3*o + 4 for i. -1 Solve -3*o - 4 = t, -4*o + 1 = 3*t + 8 for o. -1 Solve 0 = -4*l - 4, 2*p - 148*l = -152*l - 14 for p. -5 Solve -3*o - 3*r + 3 = -0*r, -4*r = -o + 16 for o. 4 Solve 9*k - 6*k = 4*i + 35, 5*k + 5*i = 0 for k. 5 Solve 137*i - 134*i = -12, 4*a + 4*i + 36 = 0 for a. -5 Solve -3 = -c - f, -2*c + c + 15 = -5*f for c. 5 Solve q = 3*q - v - 6, 2*q = -2*v - 6 for q. 1 Solve -4*t - 3*q - 16 = 0, 0 = -q + 6 - 10 for t. -1 Solve 0 = -3*k - 5*c + 7, k + 9*c - 7 = 5*c for k. -1 Solve 2*v = -0*k + 5*k + 15, -12 = 4*k for v. 0 Solve -80 + 92 = u + 5*z, 2*u + 3*z = 10 for u. 2 Solve -5*v + 6 = g, 5*v + 6*g = g - 10 for v. 2 Solve -2*r = 5*y - 25, -3*r - 4*y = -2*y - 21 for r. 5 Solve 3*j + 5*h = 2*j + 11, 2*j - 4*h + 6 = 0 for j. 1 Solve 3*d = -b - 25 + 2, 3*d - 4*b - 2 = 0 for d. -6 Solve 5*y = 4*i - 15, -5*y + 0 = -2*i + 5 for y. 1 Solve i - 2*m = 7, 2*i + 10 + 6 = -2*m for i. -3 Solve -4*s - 8 = -4*q, -q - 14 = -5*q + 2*s for q. 5 Solve -b + 3*w = 0, -2*b + 5*w = -4*b for b. 0 Solve -5*s -
{ "pile_set_name": "DM Mathematics" }
= 4 - 1. Suppose 0 = r*b - 4*v - 8, 0*b + 17 = 5*b - 3*v. Suppose 2*g = -2*g. Solve 3*p - 13 = 2*j, -3*j - b*p = -g - 23 for j. 1 Let b = 30 + -33. Let o be (16/(-6) - -2)*b. Solve -o = -g, -3*t + 3 = 4*g + 4 for t. -3 Suppose 5*y = -3*c + 37, 4*y = -5*c + 75 - 9. Let i = c + 10. Solve -5*w = -3*p - i, -14 = -4*w + 3*p + 7 for w. 3 Let k be -6*(-6)/216*6. Solve -2*p = -r - k, -3 = 3*r + 12*p - 14*p for r. -1 Let f = 241 + -234. Solve f*h = 3*h + 3*l + 17, -2*h + 3*l = -13 for h. 2 Suppose h = -4*h - 3*g + 21, 0 = 5*h - 4*g - 7. Let l be (0 - -3) + (h - 5). Let u be l/(2 + (-5)/3). Solve -t - u*x - 10 = -5*x, 5*x = t + 22 for t. -2 Let c(l) = 0*l - 15 - 8 - 2*l + 6. Let i be c(-16). Solve 3 + 22 = 5*j, i = 5*q - j for q. 4 Let j(l) = 8*l + 20. Let o be j(15). Let t = -137 + o. Solve m - 4*d - 17 = 0, -m + t*d + 17 = 4*m for m. 1 Let z be ((-2)/(-16))/(3/24)*4. Solve 0 = z*i - 7*i - 5*w + 31, 2*w - 10 = 0 for i. 2 Suppose 5*s = -m + 27, 15*s = 3*m + 12*s + 9. Solve -y = -2*a + 3*y + m, 5*y + 5 = 2*a for a. -5 Let o be ((-1071)/(-21))/(2/((-4)/(-6))). Solve -4*m + 3*h = 3 + o, -5*h + 25 = -5*m for m. -5 Let j(x) be the second derivative of -x**3/2 - 7*x**2/2 + 10*x. Let u be j(-4). Solve -u*q - 17 = -y - 0*q, 5*y = q - 11 for y. -3 Let y = -278 + 282. Solve w - z + 1 + 5 = 0, w = -y*z + 9 for w. -3 Suppose f = 36*f + 7*f. Solve -3*u = f, -3*d = -2*d + 5*u for d. 0 Let b be (2 - 2)*(-1 + 2). Let m(t) = -2*t + 29. Let q be m(b). Solve g - 5*y = -2*g + q, 0 = 2*g + 2*y + 2 for g. 3 Let k be -1 - 10/((-40)/12). Solve 3*a + 4 = -k*o, -a - 5*o + 0 = -16 for a. -4 Suppose 0 = z - 6 - 5. Let h be 210/55 - ((-93)/(-33) + -3). Solve -h*p - 5*y = z, 0*p - p + 3*y = 7 for p. -4 Suppose -3*j + 3 + 3 = 0. Suppose -j = -4*b + 14. Suppose -3*f - b*l + 7 = -3*l, 5*f = -3*l + 13. Solve 0 = f*u + 3*o + 4, -2*u + o - 6*o = 0 for u. -5 Let d(x) = -8*x + 62. Let r be d(7). Solve 5*v - 5*z + r = -9, v = 5*z - 3 for v. -3 Suppose 0 = 3*w - 5 - 1. Suppose l = 4*p - 35, -4*l - 4 = -p + w*p. Let q = -23 - -28. Solve 2*n + 7 = t, -2*t - p = -q*n - 25 for n. -3 Let m be -3 + (-1176)/28*(-2)/3. Solve 5*v - 3*h + 12 = 1, 3*h + m = -4*v for v. -4 Suppose 906*w + 20 = 910*w. Solve -w*g + z - 5*z = -21, -3*z + 7 = 2*g for g. 5 Let g be 1/15 + 3330/675. Solve -5*v = 4*a - 12, -2*a = -3*v - g*a + 9 for v. 0 Let h be -6 - (0 + -4 - 6). Solve -h*i = 2*k + 20, 0 = k - 2*i - 4 - 2 for k. -2 Let n(j) = j + 12. Let y be n(-7). Let t be ((-1)/2)/(y/30). Let q be 0/(t*(2 + -3)). Solve -2*f + 2*d - 2 = q, 0*d - d = 5*f - 1 for f. 0 Suppose -p - 4*q + 6 = -18, 4*p = q + 11. Suppose -13 = p*z - s, 3*z + 2*s = 6*s. Let t = z - -7. Solve -4 = -3*d - 2*m, -d - t*m = -8*m - 24 for d. 4 Suppose 10*q - 7*q = -9. Let c be (-72)/(-28) + q/(-7). Solve -c*n - 3*v = 15, -3*n + 7 = 5*v + 28 for n. -2 Suppose 0 = 5*x - p - 3, 0 = 2*p + 6. Let h be 1/(2/12) + -1. Suppose -h*k = -2*k - 15. Solve 2*g = 3*c + 12, x*c = k*c - 3*g + 20 for c. -4 Let j = 2 - 0. Suppose 0*d = 3*r - 3*d + 186, 4*d - 311 = 5*r. Let w = -44 - r. Solve 6*s - w = s - 4*x, j*s = 5*x + 1 for s. 3 Suppose 2*u - u - 108 = 0. Suppose 8 = c + z - 8, -2*z = -5*c + u. Let k = 0 + 5. Solve -3*b - 5*t + 10 = 0, t = -k*b - 0*t - c for b. -5 Let u(j) = j**2 - 5*j + 16. Let x be u(0). Solve y - 15 = -3*c, -6 + x = 2*c for y. 0 Let t(p) = -9*p + 8. Let l(r) = 4*r - 4. Let q(f) = 7*l(f) + 3*t(f). Let u be q(7). Solve u*v + 15 - 1 = 4*x, 2*x - 3*v - 10 = 0 for x. 2 Let k be 10/(-3)*(-312)/10. Let s be 16/k - (-4)/(-26). Solve a + 5*b - 20 = 0, s = -5*a - b + 4 - 0 for a. 0 Let v = -789 + 791. Solve 0 = 5*t - 25, -3*t + 20 = 5*o + v*t for o. -1 Let n(d) = -d**2 + 5*d - 3. Let c be n(3). Suppose -2*a - 2 + 30 = -c*v, 16 = -4*v. Let o = -6 + a. Solve -o*i + 4*b = -10, -3*b + b = -5*i + 1 for i. -1 Suppose -d + 1 = -5. Let c be 5/10 + (-38)/76. Solve 0 = 5*p + 2*u + 23, c = -4*u - d - 10 for p. -3 Suppose 5*z + n - 335 = 0, n = 3*z + 3*n - 208. Let q be 2/3 - z/18. Let s be (0 - 6/q)*1. Solve s*r + g = -0 + 8, 0 = 4*r - 2*g for r. 2 Let c = -3 + 7. Suppose -c*w + 14 + 145 = -3*g, -4*w + 164 = -4*g. Suppose 0 = -5*x + 14 + w. Solve -5*i = 5*u + x, -4*u + 6*i = 2*i - 24 for u. 2 Suppose -4*x = -8 - 16. Suppose -x*f = -f + 30. Let z(c) = c + 8. Let u be z(f). Solve 2*q + 14 = 4*l, 0 = -2*l + 3*q + 3 - u for l. 5 Suppose -5*v - p + 44 = 2*p, -3*v - 2*p = -27. Solve v*o - c = 3*o - 18, -3*c = 6 for o. -5 Let t = 19 - 16. Suppose 3*s = 3 + t. Solve g = -s*q + 4*g + 11, 0 = -2*g - 2 for q. 4 Let x be (-2 + 14/(-4))/(10/(-20)). Solve 4*j - 5*w - 16 = -7*w, -x = -3*j - w for j. 3 Let c(b) = -b**3 + 5*b**2 - 3*b - 4. Let h be c(4). Suppose -3*u + 4*p + 27 = 0, 2*p - 58 = -4*u - h*p. Solve y - 19 = 4*m, 1 = 2*y - 2*m - u for y. 3 Let q = -244 + 248. Solve -21 = -3*f - 5*a - 5, -3*f = q*a - 14 for f. 2 Let j be 10/(-7)*(4 + -11). Suppose 4*v + 3*i + 4 = -0*i, -3*v - 4*i = j. Solve 2*s + s = w - v, 4*w = 3*s + 17 for s. 1 Let y = -165 - -165. Solve 2*c - 5*x + 16 = y, -2*c + 3*x - 6 = c for c. 2 Let r(m) = -7 - 3*m - 6*m + 8*m - 2*m. Let x be r(-4). Solve x*b - 28 = -3*l, 0 = 3*l + 4*b - 23 for l. 1 Let i be 4/(-14) - 1012/(-161). Solve 4*b + 2*k = -i, b - k = -0*k for b. -1 Let z be (3/(-2))/(18/(-24)). Suppose 4*h - 6 = 2*h, y + 7 = 3*h. Suppose -19 = -5*k + 4*a, -4*a - 5 = -1. Solve y*d + 15 = -k*v, z*v - 2*d + 10 = -3*d for v. -5 Suppose -2930*k + 2925*k = -5. Let o be (0 + (-2 - -2))/(-2). Solve 18 = -o*c - 2*c - 3*s, -5*c + k = -4*s for c. -3 Suppose 0 = -0*u + u - 5. Let h = 2 - -1. Suppose 3 = -h*d + 12. Solve -d*g = 5*q - u, 5*g - 6 = -2*q - 23 for g. -5 Let w = -307 + 310. Solve -w*j = 0, 3*u - 3*j - 12 = 6*u for u. -4 Let v(t) = -2*t - 21. Let q be v(-14). Suppose a + 5*f = -18, 1 - q = -a + f. Solve 5*r = -3*k + a*r + 15, -3*k + 14 = 2*r for k. 4 Suppose 6*g = 4*g + 6. Suppose 0 - 18 = -g*n. Solve 0 = -3*f - o + n, 4*f - 27 = o + 4*o for f. 3 Suppose -13*k + 48 = -5*k. Solve z + 11 = -z + 3*a, 2*z - 2*a = -k for z. 2 Suppose -21 = -2*g - 5. Let j be (-1 + -4)*(360/(-25))/g. Solve 4*q + a = -2*a - 2, -j = q + 5*a for q. 1 Let v = -36 - -37. Solve 5*s = -4*o - 1, 3*s = 5*o - 7 - v for o. 1 Suppose -9 = -5*v - g + 10, 5*g = 20. Let f be (-11 - -1)*((-7)/(-2))/(-7). Solve -5*r + 45 = 8*c - v*c, -2*c = f*r - 30 for r. 4 Let d(b) = -b**3 - 7*b**2 + 4. Let c be d(-7). Suppose -x = -5*a + 11, -a + 18 = c*x - 1. Solve 3*z = 3*t - 9, 3*z + 5*t + 19 = a*t for z. -5 Let m(b) = -2*b**3 - 1 + 0*b**3 + b**3. Suppose 25 = l + 26. Let c be m(l). Solve 0 = -q - 3*t - 2, -t + 1 = -c*t for q. -5 Suppose -5*z - 83 = -4*q - 0, 0 = 4*q + z - 113. Solve -3*y + q = -3*a + 2*y, 2*y + 10 = -4*a for a. -4 Suppose -14 = -6*l + 4. Solve 2*v = -3*n - 1, v + 2*n - l + 2 = 0 for v. -5 Let m = 6 - 3. Let o be 0/m + (-1 - -2) + 1. Solve -8*z + 3*z - 10 = 0, -o*y - 5*z = 0 for y. 5 Let v be 4/10*315/21 - 1. Solve -5*s + v*q + 44 = 9, -5*s - 15 = 5*q for s. 2 Let v(j) = 27*j + 895. Let m be v(-33). Solve -z - 3*i - 8 = 0, 6*z - m*i = 3*z + 2 for z. -2 Let f(b) = 3*b + 108. Let a be f(-34). Solve 0 = a*v - 3*v - 3, -5 = -3*n + 4*v for n. 3 Suppose 4*g + g - 55 = 5*c, -2*c - 29 = -3*g. Suppose z + 2 = g. Solve 10 = z*m - 2*a, a = 6*m - 2*m - 5 for m. 0 Let s(t) = -92*t**2 - 3*t - 94*t**2 - 6 + 187*t**2 - 5*t. Let c be s(9). Solve i = -2*k + 6*i - 6, -c = k + i for k. -3 Suppose -4 = -k, 6*f + 4*k - 28 = 2*f. Solve -i + 3*o = -3 - 4, 5*o - 7 = -f*i for i. 4 Let q(x) = -10*x**2 + x - 1. Let y be q(2). Let j be (-2)/(-13) - (33/y + -1). Solve -2*l + 4 = -3*u - 1, 0 = 4*l + j*u - 18 for l. 4 Suppose -4*l = -20*l + 32. Solve 4*z + 8 - l = 5*w, 3*w + 18 = -3*z for w. -2 Suppose 0 = w, 2*g = 7*g - w - 140. Suppose 0*t - 14 = -2*t - 4*f, -4*t + 3*f = -6. Let o be g/8 + t/2. Solve -i - i = m + 7, o*i + 10 = -m for m. -5 Suppose 2*u = 39 + 21. Let w = u + -26. Solve -5*y + 4*t - 13 = -41, 0 = -3*y + w*t + 20 for y. 4 Suppose -3*j + 57 = 5*v, 4*j = 19 - 3. Solve 2*z = -p + z + v, -4*z + 26 = 2*p for p. 5 Let x = 57 - 87. Let r = 34 + x. Solve 0 = s - r, -2*s + 9 = 3*l - 2 for l. 1 Let c be (0*(-6)/54)/(-1). Solve 0 = -4*r - j + 10 - 1, c = -2*r + j - 3 for r. 1 Let i(r) = r**3 - 130 + 9*r**2 + 87 + 62 + 8*r. Let g be i(-8). Let m be -2 + 4 + 1 + 0. Solve g = 2*y - m*s, -y = -0*y + 5*s + 10 for y. 5
{ "pile_set_name": "DM Mathematics" }
s the value of 1*(-8)/(88/11)? -1 Evaluate ((-6)/15)/((-20)/(-25)). -1/2 Calculate (-18)/27*6/4. -1 Evaluate ((-2)/(-5))/(((-3120)/75)/(-13)). 1/8 What is 1/14*4*(-4)/(-2)? 4/7 Calculate (((-390)/20)/(-13))/3. 1/2 Evaluate 6/3*(-2)/(-24)*3. 1/2 What is (-6)/18*2*6/8? -1/2 What is 2*4*110/176? 5 Calculate 9*2*(-5)/30. -3 8/4*7*22/(-77) -4 ((-4)/18)/(5/(-60)*-16) -1/6 ((-6)/3)/((-32)/20) 5/4 Calculate 9*(-8)/(-120)*6/(-9). -2/5 (3/9)/1*(-30)/5 -2 What is the value of (5*(-48)/300)/(52/(-10))? 2/13 89/(-267)*(-4)/(-6) -2/9 Evaluate ((-24)/(-36))/((-24)/9). -1/4 Evaluate ((6/(-5))/((-2)/(-5)))/7. -3/7 Evaluate (54/27)/(10/(-7)). -7/5 Calculate ((-9)/28)/((-8)/(-84)*9). -3/8 What is (-6)/(-8)*(-25)/75? -1/4 Calculate (0/1)/(4/(-4)). 0 What is the value of -3*49/84*(-2)/14? 1/4 (-8)/(-6)*33/11 4 Evaluate (2/12*(-44)/22)/3. -1/9 What is ((-10)/(-175)*-2)/(2/5)? -2/7 What is -4*(-2)/4*-1*-2? 4 What is ((-30)/(-25))/(5/50*-3)? -4 Evaluate (1/(45/(-144)))/(6/15). -8 Evaluate 14/2*76/2926. 2/11 What is the value of (((-1)/(-6))/(-1))/((-3)/9)? 1/2 What is (-220)/(-66)*2*3/4? 5 Evaluate 110/132*-1*(-12)/15. 2/3 Calculate ((-360)/(-56))/(-15)*7. -3 What is ((8/(-4))/18)/(5/(-6))? 2/15 What is (113/(-226))/((-1)/(-8))? -4 ((-24)/21)/(7/(-343)*-14) -4 What is (88/176)/((-1)/4)? -2 Calculate (2/(-15)*10)/(-2). 2/3 (4/(-230))/((-5)/(-25)) -2/23 What is the value of ((-12)/(-8))/((-12)/32)*-2? 8 Evaluate ((-6)/8)/((-3)/(-12)). -3 Calculate ((1/(-2))/(-1))/((-53)/212). -2 What is 45/10*1*8/84? 3/7 Evaluate ((-32)/12)/(-2)*(-9)/186. -2/31 Calculate 3/(-135)*(-750)/75. 2/9 Calculate (-1)/1*(-7)/7*-3. -3 What is 3/2*(-10)/5? -3 Evaluate 25/(-5)*4/(-10). 2 (-21)/(-63)*(-9)/2 -3/2 Evaluate (-280)/(-30)*12/(-16). -7 Evaluate (112/20)/4*(-24)/(-42). 4/5 Calculate 10/44*228/285. 2/11 Calculate 98/(-8)*244/854. -7/2 Evaluate ((-28)/(-1050))/((-2)/(-10)). 2/15 Calculate (-6)/((-10)/100*(-15)/(-2)). 8 (168/(-16))/(-21)*0 0 What is the value of (-3*(-1)/(-22))/(3/4)? -2/11 Evaluate (-5)/((-1)/(-1))*30/75. -2 Calculate (128/320)/((-6)/5). -1/3 Calculate ((1/(-3))/1)/(8/(-3)). 1/8 (1/(-11))/((-4)/((-32)/(-8))) 1/11 2*1/(-4)*102/(-17) 3 What is the value of (0/(-58))/(6/3)? 0 What is the value of ((-14)/(-35))/((-1)/(10/3))? -4/3 Calculate (-1)/((-1)/8)*13/26. 4 What is ((1650/(-105))/(-11))/(2/14)? 10 What is ((-8)/10)/(90/(-75))? 2/3 What is 108/144*8/(-27)? -2/9 (31/837)/((-5)/30) -2/9 Calculate ((-32)/(-4))/(-16)*14. -7 What is the value of 50/(-75)*(-35)/(-14)? -5/3 Calculate ((-3)/((-9)/8))/(2/(-3)). -4 Evaluate ((-48)/540)/((-2)/3). 2/15 Calculate (-6)/32*((-14)/(-3))/7. -1/8 Evaluate (5/(-15))/(1/9). -3 6/8*132/(-99) -1 (304/456)/((-1)/(-6)) 4 What is the value of 24/(-8)*(-3)/45? 1/5 Evaluate (-2)/(-10)*(165/(-18))/(-11). 1/6 Evaluate 1/(-1)*12/(-6). 2 Evaluate (12/3)/(-3*4/6). -2 Calculate (4/6)/((-4)/6). -1 Calculate ((-8)/6)/((30/(-9))/10). 4 What is the value of (20*7/(-112))/(1/(-4))? 5 What is (-32)/48*(-6)/46? 2/23 Evaluate 24/14*8/(-32). -3/7 2/(-4)*-5*(-16)/100 -2/5 Evaluate 11/(-38)*472/(-1298). 2/19 Calculate ((-2)/6)/(3/((-126)/(-7))). -2 -2*(-30)/(-80)*8 -6 What is the value of ((-2)/(-18))/(36/(-162))? -1/2 0/((-4)/(-2)*(-40)/80) 0 (-10)/10*1*-2 2 (((-12)/(-10))/(27/(-30)))/(-4) 1/3 Calculate (3/3)/(-3*30/12). -2/15 What is the value of 9/6*-1*(-2)/8? 3/8 What is (48/48)/(1/2*-1)? -2 What is the value of (2/(-4))/((-33)/(594/(-36)))? -1/4 What is the value of (10/(-2))/((36/6)/6)? -5 What is (1/10)/(1/15*9)? 1/6 Calculate ((-8)/(-112))/((-14)/49). -1/4 Evaluate 4/(-6)*33/11. -2 Calculate (-45)/70*2/(-3). 3/7 Evaluate 112/(-12)*(-105)/(-140). -7 What is ((-10)/(-35))/((-12)/(-21))? 1/2 Calculate 12/(-8)*(-3)/(-12). -3/8 What is the value of ((18/4)/(-3))/(4/(-8))? 3 (32/552)/((-3)/(-9)*-2) -2/23 What is the value of (16/12)/(((-4)/12)/(-1))? 4 Calculate 34/(-425)*15/(-6). 1/5 What is the value of (4/(-3))/(2/(-6)*1)? 4 What is 4*3/2*6/(-84)? -3/7 What is the value of (-2)/10*(-10)/(-120)*135? -9/4 What is ((8/(-6))/(-4))/(13/(-6))? -2/13 What is the value of (-184)/(-46)*(-2)/4? -2 What is 8/(-2)*(-24)/32? 3 Evaluate 2/((-7)/(28/8)). -1 What is -7*16/(-24)*3/(-7)? -2 What is the value of (1/1*3)/(15/3)? 3/5 Calculate 2*((-6)/30)/(9/5). -2/9 What is the value of (-2)/(-4)*3*10/(-3)? -5 Evaluate (-15*2/3)/2. -5 Calculate 16/(-6)*(-1)/(12/1). 2/9 What is (240/72)/(4/6)? 5 Evaluate (16/(-10))/(3/((-45)/6)). 4 Calculate (-57)/(-19)*42/18. 7 What is the value of (5/((-1520)/(-8)))/((-3)/(-12))? 2/19 Calculate (-2)/(-5)*(-165)/44. -3/2 ((-18)/(-1))/(-3)*2/3 -4 Calculate (-1)/((-5)/50*2). 5 Evaluate -10*((-4)/10)/((-8)/(-10)). 5 (-7)/((-385)/10)*1/(-1) -2/11 Calculate (-1)/(3/30*5). -2 ((2/(-20))/1)/(20/(-25)) 1/8 Calculate (4/33)/(20/30). 2/11 What is the value of (87/580)/((-9)/6)? -1/10 (-8)/(-6)*(-11)/((-275)/(-15)) -4/5 Evaluate 6/3*(-54)/36. -3 Calculate (-5)/20*2*2. -1 2/(24/12)*0 0 Evaluate 1/(-15)*-3*-1. -1/5 Calculate ((-12)/15)/((-4)/(-10)). -2 Evaluate (-280)/(-378)*9*(-3)/2. -10 Calculate 6/(-3)*3/(-2). 3 (0/1)/((-12)/6) 0 ((-12)/(-105))/(80/(-200)) -2/7 What is -1*1*1/(-3)? 1/3 What is ((-3)/(-21))/(4/14)? 1/2 (5*(-2)/325)/((-2)/(-10)) -2/13 Evaluate ((72/(-6))/2)/((-3)/1). 2 Evaluate 3*((-10)/36)/(-5). 1/6 Calculate -9*(-5)/((-15)/(-1)). 3 What is the value of (((-100)/(-30))/(-10))/(6/4)? -2/9 Evaluate (90/27)/((-2)/(-3)). 5 2/(-6)*(-15)/190*-4 -2/19 What is ((-84)/162)/(-14)*2? 2/27 Calculate (((-16)/4)/12)/1. -1/3 What is (-8)/2*(21/(-2))/(-7)? -6 What is (7/(168/12))/((-4)/56)? -7 (-5)/(-15)*(-3)/(-1)*3 3 Calculate ((-2)/10)/(-7*(-16)/280). -1/2 What is the value of (3/28)/(15/20)? 1/7 Evaluate 4*-1*(-21)/42. 2 What is -4*(-6)/((-30)/5)? -4 What is ((-237)/2765)/(3/(-10))? 2/7 Calculate ((-2)/(-2))/((-19)/(-133)). 7 Calculate (1*5/(-10))/2. -1/4 What is (20/50)/(1/5)? 2 What is 24/(-18)*1/(-2)*-6? -4 (48/(-40))/((-9)/(-15)) -2 1*-4*9/(-18) 2 What is -5*(-8)/(-2080)*-8? 2/13 Evaluate (2/10)/((-87)/(-290)). 2/3 (-10)/((2/(-3))/((-7)/(-42))) 5/2 What is the value of ((-4)/36)/(11/22)? -2/9 What is ((-2)/(-4))/(2/(-6)*-6)? 1/4 Calculate 1*-1*(-20)/(160/24). 3 What is ((-30)/(-9))/(2/3)? 5 2/(((-2)/4)/((-6)/8)) 3 Evaluate ((-4)/5)/((-6)/15). 2 What is ((-30)/8)/(-5)*(-96)/(-108)? 2/3 (8/(-10))/(154/35) -2/11 Evaluate ((-130)/(-13))/(8/(-4)). -5 Evaluate 1*(-11)/((-55)/20). 4 What is the value of (-122)/183*2/8? -1/6 Evaluate (28/35)/((-1)/((-30)/(-132))). -2/11 Calculate 8/(-14)*21/(-30). 2/5 (107/(-321))/(2/36) -6 12/(-2)*((-14)/36)/7 1/3 Calculate 3*2/(-12)*48/12. -2 What is the value of (4/2)/(27/(891/22))? 3 Calculate ((-8)/(32/(-4)))/(3/15). 5 What is 4/(-6)*12/36? -2/9 Calculate ((-1)/((-15)/(-1)))/((-12)/(-20)). -1/9 What is the value of (-5)/(-14)*-12*7/(-70)? 3/7 Calculate ((-1)/(-40)*2)/((-19)/38). -1/10 What is 24*5/(-490)*(-35)/10? 6/7 What is the value of ((-12)/(-1))/(((-80)/10)/(-2))? 3 Calculate (-8)/14*(-49)/14. 2 2/(4*-1)*(-12)/3 2 ((-4)/(-80))/((-4)/10) -1/8 Evaluate (-3*2/(-12))/(7/6). 3/7 Calculate (-12)/3*(-3)/(-30). -2/5 Evaluate (-3)/(-11)*-1*18/27. -2/11 (-3)/2*(-22)/33 1 Calculate (-2)/1*(-8)/(-560)*7. -1/5 What is ((-102)/(-884))/(6/(-8))? -2/13 Evaluate 1/((-2)/(54/3)). -9 What is 125/(-50)*(-4)/2? 5 Evaluate ((-6)/(-2)*1)/(-2). -3/2 What is the value of (2/(-4)*-2)/(18/4)? 2/9 What is the value of ((-1)/(-5))/((-156)/(-4680))? 6 What is the value of (3/(-6))/(7/(-6))? 3/7 What is the value of 3*(-3)/(9/(-8))? 8 Evaluate (-16)/(-40)*(-5)/(-4)*-8. -4 What is 3/1*(-18)/27? -2 Calculate 28/21*(-27)/(-9). 4 What is the value of 1/(-2)*(-64)/128? 1/4 What is (16/(-252))/(2/(-3))? 2/21 Calculate (-1)/(((-1)/(-1))/7). -7 Calculate 1*6/(-5*(-12)/30). 3 Evaluate 1/(-3*8/120). -5 What is (-1)/(((-1408)/(-320))/(4/(-15)))? 2/33 Calculate 5/2*(-80)/50. -4 Calculate (3/(-5))/(9/(-5))*-4. -4/3 Calculate (((-2)/(-4))/(14/12))/3. 1/7 108/(-84)*(-4)/(-12) -3/7 Evaluate 1/(3/((-6)/(8/4))). -1 What is the value of -1*(-3)/(-36)*-9? 3/4 What is (-4)/(-28)*35/(-15)? -1/3 136/476*1*-7*1 -2 0/((12/2)/(-3)) 0 What is the value of ((-63)/28)/((-9)/3)? 3/4 What is 1/1*16/(-24)? -2/3 Evaluate (5*(-7)/210)/((-2)/4). 1/3 Calculate ((-6)/(-2))/((-47)/(-47)). 3 What is the value of (1/1)/((-33)/33)? -1 Calculate ((-9)/(-15))/((-10)/(-50)). 3 Calcu
{ "pile_set_name": "DM Mathematics" }
1592567 and 31. 31 Calculate the highest common divisor of 62288 and 76540273. 3893 Calculate the greatest common factor of 390586 and 15295. 161 Calculate the greatest common factor of 69894 and 85041. 99 What is the greatest common divisor of 416 and 587639? 13 Calculate the greatest common divisor of 1172 and 5187272. 1172 What is the highest common factor of 8607405 and 10065? 915 Calculate the greatest common divisor of 24692211 and 765. 153 What is the greatest common divisor of 4972 and 125520626? 2486 What is the greatest common divisor of 532 and 95753616? 532 Calculate the greatest common factor of 361344 and 1983. 3 Calculate the greatest common factor of 3298883 and 15792. 329 Calculate the greatest common divisor of 19894 and 9773. 29 What is the highest common divisor of 16632 and 3009160? 616 What is the highest common factor of 28700 and 5336560? 820 What is the highest common divisor of 936 and 107064? 72 Calculate the greatest common factor of 5438 and 6267295. 2719 What is the highest common divisor of 7865 and 1696420? 605 Calculate the greatest common factor of 30867765 and 1290. 645 What is the highest common factor of 408736 and 394999? 241 Calculate the greatest common factor of 3480 and 751062880. 1160 Calculate the greatest common factor of 8589330 and 45. 45 What is the greatest common divisor of 63936346 and 10768? 1346 What is the highest common factor of 183 and 3965732? 61 Calculate the greatest common factor of 493193 and 9. 1 Calculate the highest common divisor of 143653861 and 26. 13 Calculate the highest common factor of 232 and 309832. 8 Calculate the highest common divisor of 11760750 and 2000. 250 What is the greatest common divisor of 50372 and 6182428? 196 What is the highest common divisor of 179753 and 2114? 7 Calculate the highest common divisor of 37335363 and 6. 3 Calculate the greatest common factor of 35293612 and 5020. 1004 Calculate the highest common factor of 1596172 and 20. 4 What is the highest common factor of 323 and 31307183? 17 Calculate the greatest common divisor of 4166782 and 180997. 3851 Calculate the greatest common divisor of 6079494 and 678. 6 Calculate the highest common divisor of 3505 and 170153730. 3505 Calculate the highest common divisor of 450 and 8531650. 50 What is the greatest common factor of 1706 and 89038? 2 Calculate the highest common factor of 2364 and 8069514. 1182 What is the greatest common divisor of 515612980 and 367? 367 Calculate the highest common factor of 1385498 and 6805. 1361 Calculate the highest common factor of 917 and 286983403. 917 What is the greatest common divisor of 46374 and 53579? 131 Calculate the greatest common factor of 2260 and 103111370. 1130 What is the highest common divisor of 28677 and 32178201? 2607 What is the highest common divisor of 114 and 27789837? 57 Calculate the highest common divisor of 30 and 468306. 6 Calculate the greatest common factor of 5 and 60539. 1 Calculate the highest common factor of 18986 and 1227754. 22 What is the greatest common factor of 85 and 318362604? 17 What is the highest common factor of 7455 and 76278495? 1065 What is the highest common divisor of 8720720 and 670? 670 Calculate the greatest common divisor of 1074 and 102620163. 537 What is the highest common divisor of 5639988 and 816? 204 Calculate the greatest common divisor of 16332 and 48012. 12 Calculate the greatest common factor of 9273 and 62707117. 3091 What is the greatest common divisor of 253953 and 303849? 63 What is the greatest common divisor of 1259776 and 2664? 296 Calculate the highest common divisor of 246 and 52633750. 82 What is the greatest common divisor of 2013 and 31805949? 183 Calculate the greatest common divisor of 1165 and 144830703. 233 What is the highest common factor of 12 and 86138190? 6 What is the highest common factor of 44 and 16176347? 11 Calculate the highest common divisor of 7488 and 1674504. 936 Calculate the greatest common divisor of 6771 and 40860728. 2257 What is the greatest common divisor of 916645021 and 29? 29 What is the highest common divisor of 30384326 and 119? 7 Calculate the highest common factor of 9903 and 134756723. 3301 What is the greatest common factor of 56848 and 1541356? 1292 Calculate the greatest common factor of 72703 and 2212700. 3161 Calculate the highest common factor of 56 and 472829. 7 What is the greatest common factor of 954182602 and 7674? 2558 Calculate the greatest common factor of 2616 and 243993. 3 Calculate the greatest common factor of 4053 and 1207601. 193 Calculate the highest common divisor of 14110331 and 53941. 3173 What is the highest common divisor of 1597360 and 3690? 410 Calculate the highest common divisor of 783 and 3845745. 27 What is the highest common factor of 893233 and 5599? 11 Calculate the highest common factor of 7707826 and 33572. 1526 Calculate the greatest common factor of 37 and 5425801. 1 What is the highest common factor of 25888 and 1639034? 1618 Calculate the highest common factor of 532838 and 294823. 263 Calculate the greatest common factor of 732580 and 44. 4 What is the highest common divisor of 7850 and 2263209950? 7850 Calculate the highest common divisor of 3076428 and 1752. 12 Calculate the highest common factor of 27940 and 732908. 44 What is the greatest common divisor of 3481 and 11880653? 3481 Calculate the highest common factor of 9 and 75518193. 3 What is the greatest common divisor of 956905 and 264325? 485 What is the greatest common factor of 235 and 21985895? 235 Calculate the greatest common factor of 1679 and 580520. 23 Calculate the highest common divisor of 867949 and 29677. 59 What is the highest common divisor of 1868 and 260609350? 934 Calculate the highest common divisor of 7224 and 8601978. 1806 Calculate the highest common divisor of 6432194630 and 170. 170 Calculate the greatest common divisor of 5982 and 133695706. 1994 What is the greatest common divisor of 3810136 and 2784? 232 Calculate the highest common divisor of 202437 and 95616. 747 What is the highest common divisor of 14870958 and 627? 57 What is the highest common divisor of 3372 and 147708212? 1124 Calculate the highest common divisor of 18332050 and 125. 25 What is the highest common factor of 3 and 103172163? 3 What is the greatest common divisor of 718651612 and 28? 28 Calculate the highest common factor of 952988833 and 46196. 11549 What is the highest common divisor of 92204 and 68068? 28 What is the highest common divisor of 7400 and 186664? 8 What is the highest common factor of 426138185 and 55? 55 Calculate the highest common factor of 196 and 398887174. 14 What is the greatest common divisor of 4140 and 13565355? 15 What is the greatest common factor of 102 and 1954278? 6 Calculate the highest common factor of 7838071 and 203728. 1819 Calculate the highest common factor of 394667 and 13. 13 Calculate the greatest common divisor of 216535 and 8870092. 341 What is the greatest common divisor of 16603852 and 2956? 2956 What is the greatest common factor of 12418 and 89908094? 1774 Calculate the highest common factor of 49594356 and 98. 14 What is the highest common factor of 23249625 and 1077375? 6375 Calculate the highest common divisor of 18095 and 5238667. 329 Calculate the highest common factor of 3473 and 581486. 23 Calculate the greatest common divisor of 159927 and 321. 3 What is the highest common factor of 395038029 and 2813? 2813 Calculate the highest common factor of 2230 and 6367542. 446 Calculate the highest common factor of 76087 and 1793. 11 What is the highest common factor of 4051366218 and 9054? 9054 Calculate the greatest common divisor of 141444 and 2988. 36 What is the highest common factor of 2850925 and 7425? 275 Calculate the greatest common factor of 3835 and 19460545. 65 What is the highest common divisor of 242040 and 57360? 120 Calculate the highest common factor of 90 and 23805315. 45 What is the highest common factor of 102 and 29352370? 34 Calculate the highest common factor of 107144 and 1279826. 454 What is the highest common factor of 17621 and 13972927? 263 Calculate the greatest common factor of 3367 and 5369. 91 What is the greatest common factor of 266 and 318591126? 266 Calculate the greatest co
{ "pile_set_name": "DM Mathematics" }
is h(l(w))? -43808*w**2 Suppose -2 = -0*q + q. Let h = 2 + q. Let u(f) = f + h*f + f. Let j(s) = -2*s**2. Give j(u(x)). -8*x**2 Let s(z) = 41*z**2 - 6*z - 6. Let g(a) = a + 1. Let u(d) = 6*g(d) + s(d). Let x(q) = 2*q**2. Give x(u(l)). 3362*l**4 Let s(d) = 2*d. Let x(p) = -210*p + 1. What is x(s(g))? -420*g + 1 Let z(m) = -2*m + 2*m - 2*m. Let w(s) be the first derivative of -2*s**3 + 3. What is w(z(k))? -24*k**2 Let z(d) = 3*d**2. Let o(f) = 1014*f**2. What is o(z(n))? 9126*n**4 Let i(q) be the second derivative of q**3 - 12*q. Let k(a) = -7*a - 6. Let w(c) = -13*c - 11. Let r(n) = 11*k(n) - 6*w(n). What is i(r(f))? 6*f Let x(g) = 9*g**2 + 12*g. Let z(s) = s**2. Let d(o) = x(o) - 12*z(o). Let c(n) = 2*n. What is d(c(f))? -12*f**2 + 24*f Let k(s) be the first derivative of s**5/20 + 2*s**3/3 - 2. Let a(u) be the third derivative of k(u). Let n(x) = 2*x. What is n(a(l))? 12*l Suppose -4*s - 2*l + 0*l + 8 = 0, 3*s = 3*l + 15. Let a(k) be the second derivative of -1/3*k**s - 2*k + 0*k**2 + 0. Let w(h) = 2*h**2. Determine a(w(j)). -4*j**2 Let q(j) = 4*j. Let b(l) = 225*l - 225*l - 4*l**2. What is q(b(d))? -16*d**2 Let l(w) = -8*w + 11*w - 3*w - w. Let r(u) be the second derivative of u**3/6 + 3*u. What is l(r(k))? -k Let g(t) = 4*t. Let o(b) = -b + 2. Let a(z) = 1. Let w(m) = 2*a(m) - o(m). Give g(w(d)). 4*d Let v(h) = -9*h**2. Let p(m) be the first derivative of m**4/12 - 7*m - 6. Let j(q) be the first derivative of p(q). Give v(j(l)). -9*l**4 Let n(u) = 5*u**2. Let x(f) = -f**2 - 2*f + 2. Let b be -1*(2 - (4 - 0)). Let a(v) = 6*v**2 + 11*v - 11. Let z(h) = b*a(h) + 11*x(h). Calculate z(n(j)). 25*j**4 Let d = 5 + -1. Let w = d - 3. Let y(i) = -4*i - 1 - i + w. Let h(x) = -x. Give h(y(p)). 5*p Let l(h) = -562*h**2. Let r(w) = -2*w**2. Calculate r(l(z)). -631688*z**4 Let p(v) = -v - 6. Let a be p(-5). Let h be a + 1 + (2 - 0). Let g(o) = o + h*o - o. Let b(y) = -2*y. Calculate b(g(f)). -4*f Let r be 2/(1 - 3)*-1. Let o(s) = -2*s - r + 1. Let z(l) = -12*l**2 + 11*l + 11. Let b(v) = v**2 - v - 1. Let f(m) = -22*b(m) - 2*z(m). Give o(f(u)). -4*u**2 Let l(s) = -15*s**2. Let i(m) = -5*m + 12. Give i(l(a)). 75*a**2 + 12 Suppose 1 = 4*b - 7. Let t(p) = p**2 + p**b - 3*p**2. Let h(z) be the second derivative of z**3/3 + 2*z. Calculate h(t(m)). -2*m**2 Let d(t) = t**2 + 24. Let a(s) = 3*s**2. Calculate d(a(u)). 9*u**4 + 24 Let s(h) be the second derivative of -h**4/6 - h. Let u(j) = -j**3 + j + 5. Let r be u(0). Let o(b) = -9*b - 5 + r + 0. What is s(o(n))? -162*n**2 Let y(m) = m**2 - 7*m + 8. Let f = 3 + 3. Let t be y(f). Let s(o) = t*o - 4*o + o. Let a(n) = 4*n**2. Give s(a(z)). -4*z**2 Let l(k) = -9*k + 3. Let y be l(2). Let z be y/(-3)*(-6)/(-10). Let u(t) = -4 + z + 1 + 5*t. Let b(i) = i**2. What is b(u(g))? 25*g**2 Let j(z) be the third derivative of 13*z**4/24 - 135*z**2. Let i(g) be the second derivative of -g**4/6 - g. Determine i(j(u)). -338*u**2 Let k(h) = -4*h. Let d(t) = 0*t - 3 - 6*t + 4*t - 2*t. Let a(s) = -s. Let w(v) = v + 5. Let q(c) = 6*a(c) - w(c). Let j(y) = 5*d(y) - 3*q(y). Calculate j(k(b)). -4*b Let h(d) = 8*d. Let l(z) = 54*z. Give l(h(s)). 432*s Let a(q) be the first derivative of 22*q**3 - 27*q**2/2 + 5. Let w(k) = -5*k**2 + 2*k. Let t(z) = 2*a(z) + 27*w(z). Let h(d) = 6*d**2. Give h(t(v)). 54*v**4 Let d(v) = -3*v. Let u(l) = l**2 - 22*l. Calculate d(u(r)). -3*r**2 + 66*r Let j(x) = -2*x. Let c(w) = 38*w**2 - 2*w. Calculate j(c(l)). -76*l**2 + 4*l Let j(z) = 2*z**2. Let w(v) = -28*v + 18. Let d(i) = -9*i + 6. Let k(s) = -7*d(s) + 2*w(s). Let g(r) = -8*r + 7. Let b(y) = 6*g(y) + 7*k(y). Give b(j(p)). 2*p**2 Let f(o) = -o**2. Let l(g) = -g**2 + 3*g + 1. Let b be l(2). Let q(y) be the third derivative of y**2 - 1/12*y**4 + 0*y + 0 + 0*y**b. Calculate q(f(h)). 2*h**2 Let b(i) = 415*i. Let s(g) = 3*g. Determine s(b(p)). 1245*p Let u(l) = -l. Let m(p) = -247*p**2. Give u(m(z)). 247*z**2 Let u(b) be the first derivative of -5*b + 3 + b**2 + 5*b. Let n(s) be the first derivative of 2*s**3/3 + 1. Calculate u(n(a)). 4*a**2 Let q(u) be the second derivative of 41*u**4/12 + 14*u. Let o(i) = 2*i**2. Determine q(o(j)). 164*j**4 Let t(x) = -3*x**2. Let s(a) = a**2 + 109. Give s(t(j)). 9*j**4 + 109 Let z(p) = 2*p. Let w(s) = s**2 + 3. Suppose 2*h - 36 = -14. Let m = 3 + h. Let r(k) = -4*k**2 - 14. Let q(j) = m*w(j) + 3*r(j). Determine q(z(i)). 8*i**2 Let k(i) = 7*i**2. Let j(n) = 3*n + 11. What is k(j(r))? 63*r**2 + 462*r + 847 Let m(d) = 15*d**2. Let q(n) be the third derivative of -n**4/8 - 21*n**2. Give q(m(b)). -45*b**2 Let o(x) = -7*x. Let l(d) be the second derivative of d**4/12 - 6*d. What is o(l(s))? -7*s**2 Let z(b) = 2*b**2. Let q(g) = 11*g. Let t(o) = 12*o - 1. Let k(w) = 7*q(w) - 6*t(w). Let h(s) = 10*s + 13. Let u(x) = -6*h(x) + 13*k(x). What is u(z(r))? 10*r**2 Let j(q) = 2*q. Let t(y) = -8*y + 4*y - 3*y - y. Calculate t(j(k)). -16*k Let x(k) = -k**2. Let u(l) = -l**2 - 230. What is x(u(o))? -o**4 - 460*o**2 - 52900 Let v(b) be the third derivative of 35*b**4/24 + b**3/3 + 10*b**2. Let o(d) = 2*d**2. Calculate v(o(t)). 70*t**2 + 2 Suppose 16*d - 15*d = 0. Let n(a) be the second derivative of 0 + d*a**2 + 0*a**3 + a - 1/6*a**4. Let x(h) = -h**2. Give x(n(z)). -4*z**4 Let c(k) = -5*k. Let r(u) be the first derivative of -5*u**3/3 - 20. Determine r(c(m)). -125*m**2 Let k(f) = 4*f. Let b(v) = 1437*v. What is b(k(d))? 5748*d Let s(o) = 33 - 33 - 2*o. Let r(d) = -5*d. Calculate r(s(n)). 10*n Let g(l) be the first derivative of l**5/30 + l**2/2 - 1. Let u(s) be the second derivative of g(s). Let v(o) = o**2 + 9 - 9. Determine v(u(x)). 4*x**4 Let w(a) = a**2. Let j(k) = 2. Let o(d) = d**2 - 2. Let q be o(0). Let g(n) = -n + 2 + 2*n + 0*n. Let c(b) = q*j(b) + 2*g(b). Determine c(w(x)). 2*x**2 Let a(d) = -5*d + 350. Let z(x) = -x**2. What is z(a(v))? -25*v**2 + 3500*v - 122500 Let b(o) = -180*o**2. Let x(k) = -k**2. Determine x(b(q)). -32400*q**4 Let m(k) = k**2. Let n be (-2)/8 + (-78)/(-24). Let j(w) = 2*w - n*w - w. Calculate m(j(a)). 4*a**2 Let f(g) = -5*g. Let u(l) = -l**2 + 17*l - 14. Let z be u(16). Let w(o) = -z*o - o + 0*o. Determine f(w(c)). 15*c Let d(h) = -h. Let b(o) = 2*o + 2*o - 15*o + 4*o. Determine b(d(p)). 7*p Let u(w) be the third derivative of w**6/360 + w**4/12 - w**2. Let b(f) be the second derivative of u(f). Let s(m) = -6*m. Calculate s(b(a)). -12*a Let u(w) = -3 - 2*w + 2 + 1. Let i(z) = -3*z. Let s(v) = 2*v. Let d(p) = -3*i(p) - 4*s(p). What is u(d(g))? -2*g Let n(w) = 8*w**2. Let f(t) = -t**2 + 2*t**2 + 0*t**2. Let o(j) = -12*f(j) + n(j). Let q(u) = -4*u + 3*u + 3*u. What is o(q(b))? -16*b**2 Let u(s) = -241*s**2 - s. Let j(g) = 2*g**2. Give u(j(i)). -964*i**4 - 2*i**2 Suppose 0 = -5*j - 17 - 28. Let a(s) = 5*s + 4. Let d(b) = -11*b - 9. Let v(p) = j*a(p) - 4*d(p). Let l(x) = -3*x**2 + 30 - 16 - 14. What is v(l(w))? 3*w**2 Let o(w) = w**2. Let m(f) be the third derivative of f**7/2520 + f**5/30 + 2*f**2. Let v(a) be the third derivative of m(a). Calculate v(o(b)). 2*b**2 Let l(f) = 4*f**2. Let s(x) = -34*x. Determine s(l(h)). -136*h**2 Let t(s) = -3*s. Let z(g) be the first derivative of 2*g**2 + 11. Give t(z(d)). -12*d Let c(l) be the second derivative of l**3/6 + 6*l - 5. Let y(a) be the first derivative of 3*a**3 + 1. Determine c(y(s)). 9*s**2 Let d(x) be the first derivative of -x**2/2 - 1. Let t(v) = -10*v. Give t(d(h)). 10*h Let s(i) = 3*i**2. Let d(j) = -101*j. What is s(d(b))? 30603*b**2 Let o(y) = 10*y**2. Let u(w) = 788*w**2 + 2. Give u(o(s)). 78800*s**4 + 2 Suppose -9*z + 6*z - 6 = 0. Let v(x) = -x**2 + 2*x. Let j(b) = 12*b**2 - 27*b. Let g(q) = z*j(q) - 27*v(q). Let h(u) = u**2. Give g(h(m)). 3*m**4 Let u(z) = 12*z. Let n(j) = -8*j**2 + 4*j**2 + 6*j**2. Give u(n(t)). 24*t**2 Let q(d) = 4*d + 6*d - 18*d. Let f(l) = 2*l. What is q(f(n))? -16*n Let m(g) = 21*g - 5. Let d(u) = -32*u + 7. Let x(l) = 5*d(l) + 7*m(l). Let p(q) = q. Give p(x(w)). -13*w Let h be 6*(-1)/(6/(-2)). Let q(t) = -t**h + 0 + 0. Let z(p) = p**2 + 3*p - 3. Let k(m) = m**2 + 4*m - 4. Let j(g) = -3*k(g) + 4*z(g). What is q(j(b))? -b**4 Let w(v) = v. Let n(d) = -319*d. Determine n(w(x)). -319*x Let i(w) be the first derivative of 4*w**3/3 + 20. Let o(h) = -5*h**2. Determine i(o(t)). 100*t**4 Let y(q) = -2*q**2. Let k(v) = -19*v + 7. Let
{ "pile_set_name": "DM Mathematics" }
e nearest integer? 4 What is the cube root of 1227 to the nearest integer? 11 What is the third root of 7054 to the nearest integer? 19 What is 72035 to the power of 1/3, to the nearest integer? 42 What is the cube root of 7113 to the nearest integer? 19 What is 10693 to the power of 1/4, to the nearest integer? 10 What is 830 to the power of 1/2, to the nearest integer? 29 What is 11266 to the power of 1/6, to the nearest integer? 5 What is the ninth root of 1960 to the nearest integer? 2 What is 72780 to the power of 1/2, to the nearest integer? 270 What is 1041 to the power of 1/2, to the nearest integer? 32 What is 6773 to the power of 1/2, to the nearest integer? 82 What is the third root of 1110 to the nearest integer? 10 What is the cube root of 2088 to the nearest integer? 13 What is the third root of 9290 to the nearest integer? 21 What is 2529 to the power of 1/8, to the nearest integer? 3 What is the third root of 12011 to the nearest integer? 23 What is the fourth root of 381 to the nearest integer? 4 What is the square root of 11404 to the nearest integer? 107 What is 32472 to the power of 1/8, to the nearest integer? 4 What is the square root of 107 to the nearest integer? 10 What is 6595 to the power of 1/2, to the nearest integer? 81 What is the square root of 69773 to the nearest integer? 264 What is 9756 to the power of 1/3, to the nearest integer? 21 What is the square root of 1939 to the nearest integer? 44 What is 13832 to the power of 1/2, to the nearest integer? 118 What is 13374 to the power of 1/9, to the nearest integer? 3 What is the square root of 96317 to the nearest integer? 310 What is 1926 to the power of 1/2, to the nearest integer? 44 What is 12333 to the power of 1/2, to the nearest integer? 111 What is the cube root of 6344 to the nearest integer? 19 What is 733 to the power of 1/2, to the nearest integer? 27 What is 3655 to the power of 1/8, to the nearest integer? 3 What is 25137 to the power of 1/2, to the nearest integer? 159 What is the tenth root of 42027 to the nearest integer? 3 What is the eighth root of 6997 to the nearest integer? 3 What is 1898 to the power of 1/7, to the nearest integer? 3 What is the tenth root of 182606 to the nearest integer? 3 What is the third root of 73 to the nearest integer? 4 What is the sixth root of 26065 to the nearest integer? 5 What is 2233 to the power of 1/3, to the nearest integer? 13 What is the square root of 2414 to the nearest integer? 49 What is 72226 to the power of 1/3, to the nearest integer? 42 What is 4642 to the power of 1/10, to the nearest integer? 2 What is the third root of 6375 to the nearest integer? 19 What is 490 to the power of 1/10, to the nearest integer? 2 What is the third root of 8216 to the nearest integer? 20 What is 127801 to the power of 1/8, to the nearest integer? 4 What is the square root of 2647 to the nearest integer? 51 What is 1764 to the power of 1/6, to the nearest integer? 3 What is the third root of 844 to the nearest integer? 9 What is the seventh root of 109122 to the nearest integer? 5 What is the square root of 10748 to the nearest integer? 104 What is 13406 to the power of 1/5, to the nearest integer? 7 What is 19572 to the power of 1/2, to the nearest integer? 140 What is the square root of 2614 to the nearest integer? 51 What is 12369 to the power of 1/5, to the nearest integer? 7 What is the sixth root of 3114 to the nearest integer? 4 What is 15635 to the power of 1/2, to the nearest integer? 125 What is 13115 to the power of 1/10, to the nearest integer? 3 What is the eighth root of 3866 to the nearest integer? 3 What is the square root of 2864 to the nearest integer? 54 What is the square root of 4460 to the nearest integer? 67 What is 14684 to the power of 1/3, to the nearest integer? 24 What is the square root of 554 to the nearest integer? 24 What is the seventh root of 61848 to the nearest integer? 5 What is 573 to the power of 1/2, to the nearest integer? 24 What is 61628 to the power of 1/3, to the nearest integer? 39 What is the tenth root of 5403 to the nearest integer? 2 What is the eighth root of 16459 to the nearest integer? 3 What is the third root of 6625 to the nearest integer? 19 What is the square root of 791 to the nearest integer? 28 What is the third root of 1447 to the nearest integer? 11 What is the square root of 2227 to the nearest integer? 47 What is 20020 to the power of 1/3, to the nearest integer? 27 What is the sixth root of 6109 to the nearest integer? 4 What is the square root of 12310 to the nearest integer? 111 What is the sixth root of 3205 to the nearest integer? 4 What is the square root of 7220 to the nearest integer? 85 What is 31190 to the power of 1/3, to the nearest integer? 31 What is the square root of 3618 to the nearest integer? 60 What is the square root of 95 to the nearest integer? 10 What is the cube root of 20184 to the nearest integer? 27 What is 1431 to the power of 1/2, to the nearest integer? 38 What is 17059 to the power of 1/2, to the nearest integer? 131 What is 1803 to the power of 1/2, to the nearest integer? 42 What is the ninth root of 23454 to the nearest integer? 3 What is the third root of 45535 to the nearest integer? 36 What is the sixth root of 782 to the nearest integer? 3 What is 10221 to the power of 1/6, to the nearest integer? 5 What is 61510 to the power of 1/2, to the nearest integer? 248 What is the square root of 1770 to the nearest integer? 42 What is 862 to the power of 1/9, to the nearest integer? 2 What is 5549 to the power of 1/5, to the nearest integer? 6 What is the square root of 282 to the nearest integer? 17 What is the third root of 84 to the nearest integer? 4 What is 2652 to the power of 1/3, to the nearest integer? 14 What is the square root of 5917 to the nearest integer? 77 What is the cube root of 8848 to the nearest integer? 21 What is 4544 to the power of 1/10, to the nearest integer? 2 What is 13323 to the power of 1/5, to the nearest integer? 7 What is the ninth root of 1110 to the nearest integer? 2 What is the third root of 1397 to the nearest integer? 11 What is 928 to the power of 1/9, to the nearest integer? 2 What is 5346 to the power of 1/2, to the nearest integer? 73 What is 13925 to the power of 1/7, to the nearest integer? 4 What is the cube root of 1871 to the nearest integer? 12 What is the cube root of 1149 to the nearest integer? 10 What is the fourth root of 14455 to the nearest integer? 11 What is 3088 to the power of 1/3, to the nearest integer? 15 What is the square root of 478 to the nearest integer? 22 What is 1119 to the power of 1/2, to the nearest integer? 33 What is the square root of 14132 to the nearest integer? 119 What is 1460 to the power of 1/2, to the nearest integer? 38 What is the fifth root of 558 to the nearest integer? 4 What is 8186 to the power of 1/3, to the nearest integer? 20 What is the tenth root of 82 to the nearest integer? 2 What is the tenth root of 4526 to the nearest integer? 2 What is the cube root of 9603 to the nearest integer? 21 What is 771 to the power of 1/3, to the nearest integer? 9 What is 5072 to the power of 1/2, to the nearest integer? 71 What is the third root of 110862 to the nearest integer? 48 What is the seventh root of 56671 to the nearest integer? 5 What is the square root of 341 to the nearest integer? 18 What is 1358 to the power of 1/2, to the nearest integer? 37 What is the third root of 80604 to the nearest integer? 43 What is 13556 to the power of 1/2, to the nearest integer? 116 What is the fourth root of 115987 to the nearest integer? 18 What is 70 to the power of 1/2, to the nearest integer? 8 What is 16309 to the power of 1/5, to the nearest integer? 7 What is 2108 to the power of 1/2, to the nearest integer? 46 What is 65314 to the power of 1/3, to the nearest integer? 40 What is the square root of 1044 to the nearest integer? 32 What is 14789 to the power of 1/3, to the nearest integer? 25 What is the fifth root of 22070 to the nearest integer? 7 What is 12081 to the power of 1/3, to the nearest integer? 23 What is 36568 to the power of 1/4, to the nearest integer? 14 What is the third root of 10375 to the nearest integer? 22 What is
{ "pile_set_name": "DM Mathematics" }
s positive. y**(-59/22) Simplify (z**(1/5)/(z/(z*z**0*z)))/((z/z**(-1))/z)**(-5/2) assuming z is positive. z**(37/10) Simplify h/(h**(-2/3)/h*h)*h**(-11)/h assuming h is positive. h**(-31/3) Simplify ((x*((x/x**(15/4))/x)/x*x)/x)**6 assuming x is positive. x**(-45/2) Simplify (a**(-5/6)*a*a**(-4/11))**(-23) assuming a is positive. a**(299/66) Simplify c**25*c*c**(2/7) assuming c is positive. c**(184/7) Simplify s*s**(-17)*s*s*s/(s/(s/s**(-22))) assuming s is positive. s**9 Simplify ((t*t*t/t**(-3)*t*t)**28)**46 assuming t is positive. t**10304 Simplify (b*b/b**(-1)*b)**(3/8)*b**(-2/7)*b*b**6 assuming b is positive. b**(115/14) Simplify c**(1/16)*c*c*c/c**(-5)*c assuming c is positive. c**(145/16) Simplify c/c**(-2)*c**3 assuming c is positive. c**6 Simplify ((p*p**(-5)*p)/p**(1/3))**(-1) assuming p is positive. p**(10/3) Simplify (h**9*h*h/((h*h*h*h*h/(h*h**(-2/21))*h)/h))**(-4) assuming h is positive. h**(-580/21) Simplify (((a**29*a*a)/a)/a)/a*a*a**20 assuming a is positive. a**49 Simplify (r/r**(-7)*r)/(r*r*(r/r**(-4/3))/r)*r*r*r**(-1/9)*r/r**(-6) assuming r is positive. r**(131/9) Simplify (z**(-7)*z)**(-4/21) assuming z is positive. z**(8/7) Simplify ((a/(a**17*a*a))/a)/a**(-4/3) assuming a is positive. a**(-53/3) Simplify (((q/q**(1/5))/q*q*q)**(8/17))**43 assuming q is positive. q**(3096/85) Simplify (r**(2/7))**13*r**(-8)/(r**(8/3)/r) assuming r is positive. r**(-125/21) Simplify d**(-2/9)*d*d*d/(d/(d**(-1/35)/d)) assuming d is positive. d**(236/315) Simplify (c**(-5/7)/c*c)/c*c**(2/71) assuming c is positive. c**(-838/497) Simplify (i/(i/i**(-3/11))*i**(-10))/(i**6*(i**(-9)/i*i)/i) assuming i is positive. i**(-69/11) Simplify (a**(2/9)/(a/(a*a/(a**(-6)*a))))/(a**(-4)/a**(7/2)) assuming a is positive. a**(247/18) Simplify (g/g**(-10))**40 assuming g is positive. g**440 Simplify (h**(-1/14))**(-2/65) assuming h is positive. h**(1/455) Simplify u**(-1/9)/(u/(u**17*u)) assuming u is positive. u**(152/9) Simplify ((k/k**0*k)**(27/4))**(1/51) assuming k is positive. k**(9/34) Simplify ((u/(u**13*u)*u)/(u**21/u))**(-5) assuming u is positive. u**160 Simplify (l/l**(-2/11))**(24/5)/(l**(3/5)*l)**9 assuming l is positive. l**(-96/11) Simplify (a/(a*a**(-1/2)/a))**(-2/41)/(a**(-1)/a)**(-2/5) assuming a is positive. a**(-179/205) Simplify (w/(w*w*w/(w/((w**(-1/6)/w)/w)))*(w**(-1/2)/w)/w)**(-8) assuming w is positive. w**(32/3) Simplify x**34/(x/(x/(x**32/x))) assuming x is positive. x**3 Simplify q**(2/17)*q*q/q**(-17)*q*q assuming q is positive. q**(359/17) Simplify (d**(-5/3))**26 assuming d is positive. d**(-130/3) Simplify (g/g**(-1))**(-1/43) assuming g is positive. g**(-2/43) Simplify f*f*f**(1/5)/f*f**(2/3)*f/(f**(-4)*f)*f/f**(-1)*f assuming f is positive. f**(133/15) Simplify p**(-3)/(p*p*p**22) assuming p is positive. p**(-27) Simplify ((r*r**0/r)/r)**(3/4) assuming r is positive. r**(-3/4) Simplify (s**33)**(1/20) assuming s is positive. s**(33/20) Simplify (b*b*b/(b/b**1))**19/(b**(3/2)*b**2) assuming b is positive. b**(107/2) Simplify ((r/(r*r*(r/(r**(-1/2)/r))/r))/(r*r**(-2)/r))/(r/(r*r/(r*r**(7/3)*r))*r*r/r**7*r) assuming r is positive. r**(1/6) Simplify (z*z**20*z)/z**(-28) assuming z is positive. z**50 Simplify (l**(-1/3)/l)/(l*l**5) assuming l is positive. l**(-22/3) Simplify ((p/p**1)**(-4/9))**(-6/5) assuming p is positive. 1 Simplify (l**3*(l/l**(1/2))/l)/(l*l**1)**(2/43) assuming l is positive. l**(207/86) Simplify ((r/(r*r**(-4)))/r)/((r/(r*r**(5/6)))/r)*(r**11/r)/(r/r**(-1/4)) assuming r is positive. r**(163/12) Simplify p**(-1)/(((p*((p/(p**(2/3)*p))/p*p)/p)/p*p)/p)*(p*p/p**(-2/3))**16 assuming p is positive. p**(130/3) Simplify ((a*a*a/(a/a**(-2/5))*a*a)**(7/10))**(-4) assuming a is positive. a**(-252/25) Simplify (a/(a**(-4/9)*a))/(a/(a/a**(-13))) assuming a is positive. a**(121/9) Simplify (s**1)**13/((s**(-3/2)/s*s)/(s*s**(1/7))) assuming s is positive. s**(219/14) Simplify ((c*c*c**(-4/5))/c)/(c/(c/c**(-1/4)))*c/(c*c**(-3/4)*c)*c*c**(1/2) assuming c is positive. c**(17/10) Simplify x**29*x*x**(1/4) assuming x is positive. x**(121/4) Simplify ((p*p*p**(2/9))**(5/6))**(-16/7) assuming p is positive. p**(-800/189) Simplify (u**(1/2))**(21/4) assuming u is positive. u**(21/8) Simplify (y**1*y*y**8/y)/(y**(-2/3)/(y*y/y**3*y)) assuming y is positive. y**(29/3) Simplify (k/k**(-2)*k**1)/(k**(-1)/((k*k**(-2/7)*k)/k)) assuming k is positive. k**(40/7) Simplify (s*s**(-1)*s)/s**(-3)*s/(s/(s/s**(-2)))*s**(-1/5) assuming s is positive. s**(34/5) Simplify (w**(1/10))**45 assuming w is positive. w**(9/2) Simplify (i*i**(-2))/(i*i*i/((i**5/i)/i)*i)*i**(-4)*i**2 assuming i is positive. i**(-4) Simplify j**(-23)/j*j**14 assuming j is positive. j**(-10) Simplify (u/(u/(u**42/u)))/(u/(u**(2/55)/u)) assuming u is positive. u**(2147/55) Simplify (v/v**(-2/7))**43*v**(-4/11)*v**0 assuming v is positive. v**(4229/77) Simplify (((n*n**4/n)/n)/n*n)**6 assuming n is positive. n**18 Simplify (h/(h*h**23*h)*h)/(((h*h**(-25))/h*h)/h) assuming h is positive. h**2 Simplify n**(-19)/((n/((((n/(n/(n*n*((n**6/n)/n)/n*n*n)))/n)/n)/n))/n*n*n) assuming n is positive. n**(-17) Simplify (m**18)**(-3/4) assuming m is positive. m**(-27/2) Simplify (k/k**(3/2)*k**(3/7))/(k*k*k**(-4/9)*k*k*k**4/k) assuming k is positive. k**(-835/126) Simplify j*j**0*j*j/((j*((j**6/j)/j)/j)/j*j*j)*(j*j*j*j**(2/5)*j*j*j)/j**(-2/31) assuming j is positive. j**(692/155) Simplify y/y**35*y/(y/(y*y**(-1/3))) assuming y is positive. y**(-100/3) Simplify (o/((o**6/o)/o))/o**(-3)*((o*o**(-1/2)*o)/o)**(-4/15) assuming o is positive. o**(-2/15) Simplify (w**(-3/4))**(-22/7) assuming w is positive. w**(33/14) Simplify (r**2*r/(r*r*(r*r*r*(r*r*r**(-6)*r*r)/r*r)/r))/((r/(((r*r*r**1*r*r)/r)/r))/r)**(25/4) assuming r is positive. r**(79/4) Simplify ((y*(y/y**(-2/7))/y*y)/y)**(-13/2)*(y/((((y*(y/((y*y**(-2/3)*y)/y))/y)/y)/y)/y)*y*y)/(y*y**(-3)) assuming y is positive. y**(-43/42) Simplify (p**1/(p/(p*p/(((p/(p*p**(-4)/p*p))/p)/p*p*p)*p)))/(p**(-1))**(20/13) assuming p is positive. p**(7/13) Simplify (c*c/(c**(-17)/c)*c)/(c**(5/8)/c) assuming c is positive. c**(171/8) Simplify (d**7*d/(d/(d*d/(d/((d*d**(-6/5)*d)/d)*d*d))))/((d*d/(d**4*d)*d)/d**(-7)) assuming d is positive. d**(4/5) Simplify (((k/(((k/k**12)/k*k)/k))/k)/k)**48 assuming k is positive. k**528 Simplify (r*r**(-4))/r*r*r/(r**(-4)/r)*r**(-5/3)*r**(-1/3) assuming r is positive. r Simplify (g**(-2/13)*g/(((g/g**(-8))/g)/g*g)*g)/(g/g**(-2)*g**(-4)) assuming g is positive. g**(-67/13) Simplify (w**3)**(-16)*w**(2/19)*w/(w/(w/(w/w**(-9))))*w assuming w is positive. w**(-1062/19) Simplify ((x/x**(-8))**(-2))**9 assuming x is positive. x**(-162) Simplify (q**0)**(-14/13)/(q**(-2/13)*q**4*q) assuming q is positive. q**(-63/13) Simplify (y**9*y**(-2/5))/(y/(y*y*y*y**(-2/3)*y))**8 assuming y is positive. y**(409/15) Simplify (h/(h**(2/7)/h*h))**(5/14)*(h*h**0)**36 assuming h is positive. h**(3553/98) Simplify ((j*j/(j**(-1)/j))/j*j*j*j)**(2/103)*(j*j/j**(2/5))**(1/48) assuming j is positive. j**(463/3090) Simplify (((q/(q**(-2/35)/q))/q)/q)/(q*q**(-9)*q) assuming q is positive. q**(247/35) Simplify ((q*(q/(q/(q**(1/4)*q))*q)/q*q)**(1/28))**(-43) assuming q is positive. q**(-559/112) Simplify (c**8/(c*c**(3/8)*c*c*c))**(-23) assuming c is positive. c**(-667/8) Simplify ((k**0/k)/k)**(-6/11)/((k**6*k)/(k**2/k)) assuming k is positive. k**(-54/11) Simplify ((u*u*(u/(((u*u**1/u*u*u)/u)/u))/u*u*u)**25)**20 assuming u is positive. u**1500 Simplify ((((c*(c**9/c)/c)/c)/c)/c**(2/17))**(1/26) assuming c is positive. c**(50/221) Simplify (v**(1/5)*v*v)/v*(v*v/v**(8/3)*v)/v*v*v assuming v is positive. v**(38/15) Simplify (w**(-7)*w/(w**(-6)*w))**(-33) assuming w is positive. w**33 Simplify (p*p/(p*p/(p/(p/p**(-26)))))/(p*p/((p/p**(-6/19))/p)) assuming p is positive. p**(-526/19) Simplify y/((y/(y/(y/y**(1/13))))/y)*y**2*y*y*y assuming y is positive. y**(79/13) Simplify (d**(-14))**(6/7) assuming d is positive. d**(-12) Simplify ((t**(3/4)/t)/(t*t/(t*t/(t/t**(2/3)))*t))/((t**(-9)*t)/t**3) assuming t is positive. t**(113/12) Simplify ((y*y**21)/y*y)/y**(-14) assuming y is positive. y**36 Simplify (z*(z*z*z*z**(1/2)*z)/z*z)**(2/19) assuming z is positive. z**(11/19) Simplify (f**(2/9)*(f**(9/5)*f)/f)**(-12) assuming f is positive. f**(-364/15) Simpli
{ "pile_set_name": "DM Mathematics" }
**3 - 44*r**2 + 22. Give 5*i(m) + 11*u(m). 968*m**3 Let h(k) = k**3 - 391*k**2 - 4*k - 39. Let w(a) = a**3 - 261*a**2 - 3*a - 28. Determine -5*h(m) + 7*w(m). 2*m**3 + 128*m**2 - m - 1 Suppose 0 = a - 4*i + 83, -5*a + 44*i - 47*i - 231 = 0. Let b(f) = -89*f - 17. Let q(o) = -11*o - 2. Calculate a*q(h) + 6*b(h). 27*h Let g(p) = 5*p + 2. Let t be (-150)/(-2175) - 114/(-29). Suppose t*h = -20, 36 = -4*o + h - 3. Let b(n) = 3*n + 1. Give o*b(a) + 6*g(a). -3*a + 1 Let s(q) = 2*q**2 - 4*q + 0*q**2 + q**2. Let k(u) = -u**2 + u. Suppose 3*h - 15 = -2*f, -19 = -h + 79*f - 75*f. Calculate h*k(z) + 2*s(z). -z**2 - z Let v be (-4)/14 + (-130)/(-14). Let c(q) = -1 + 211*q - 251*q + 44*q. Let h(y) be the first derivative of -17*y**2/2 + 5*y + 3. Calculate v*c(a) + 2*h(a). 2*a + 1 Let n(j) = -6*j**3 - 7*j - 4. Let z be ((-1)/2)/(2/12). Suppose -39*s - 5*c = -36*s - 20, 5*s - 26 = -c. Let p(w) = -3*w**3 - 4*w - 2. What is s*p(x) + z*n(x)? 3*x**3 + x + 2 Let o(z) = 1. Suppose -21*r + 24 = 3*l - 17*r, -l = 2*r - 10. Let h(v) = -772*v + 5 + 259*v + 257*v + 257*v. Give l*o(y) - h(y). -y - 1 Let i(x) = 11526*x**3 - 7*x**2. Let n(m) = -12674757*m**3 + 7698*m**2. Give -7698*i(o) - 7*n(o). -3849*o**3 Let z be (-420)/1470 - (-88)/14. Let o(r) be the third derivative of -5*r**3/6 + 9*r**2. Let m(s) = -s + 6. Give z*o(p) + 5*m(p). -5*p Let q(w) = -12*w + 2. Let l(m) = 12670*m - 910. Determine -2*l(f) - 910*q(f). -14420*f Let y(n) = -4*n**3 - 6*n**2 + 6*n - 6. Let k(m) = m**3 - m**2 + m - 1. Let z(a) = -12 - 19 + 14*a - 17. Let t be z(3). What is t*k(j) + y(j)? -10*j**3 Let z(b) = -17*b**2 - 2*b + 97. Let i(a) = 15*a**2 + 2*a - 97. What is 6*i(x) + 5*z(x)? 5*x**2 + 2*x - 97 Let t(s) = -45*s**3 - 55*s - 55. Suppose -238*w = -243*w - 2235. Let i = w - -441. Let x(j) = -5*j**3 - 6*j - 6. Give i*t(n) + 55*x(n). -5*n**3 Let h(k) = 525*k - 100. Let n(l) = -350*l + 65. Calculate -5*h(z) - 8*n(z). 175*z - 20 Let z(t) = 2*t**2 - 5*t + 6 - 13*t + 27*t - 9*t. Let k(i) = -3*i**2 - 9. Suppose l + 25 = -4*l. What is l*k(q) - 7*z(q)? q**2 + 3 Let y = 2 + -7. Let q(a) = 2. Let i(s) = -2*s + 46. Let r be i(25). Let j(l) = l. Let k(z) = r*q(z) - 3*j(z). Let c(m) = -2*m - 7. What is y*c(v) + 4*k(v)? -2*v + 3 Suppose -234*j - 5148 = 234*j. Let y(i) = -16*i + 16. Let d(p) = 3*p - 3. Suppose -l = -2*l - 2. What is j*d(n) + l*y(n)? -n + 1 Let n(a) be the second derivative of 19/20*a**5 - 7/12*a**4 + 0*a**3 + 0 + 15*a + 13/2*a**2. Let m(h) = -13*h**3 + 5*h**2 - 9. Give 7*m(s) + 5*n(s). 4*s**3 + 2 Let m(u) = -98*u**2 + 35*u + 35. Let q(d) = -16*d + 1. Let a be q(1). Let b be -31 - (-1)/(-1 - a/20). Let z(c) = -11*c**2 + 4*c + 4. Determine b*z(w) + 4*m(w). -7*w**2 Let s(h) = h**2 - 3*h. Let x = 10 - 3. Let l(b) = 2*b - 2*b**2 - 2*b + x*b + 0*b. Let z(n) = n**3 + 2*n**2 - 6*n + 1. Let y be z(-4). What is y*s(v) - 3*l(v)? -v**2 Let g(m) = -9*m**3 - 225*m - 3. Let s(n) = -16*n**3 - 451*n - 6. Give 5*g(z) - 3*s(z). 3*z**3 + 228*z + 3 Let q(i) = -32*i + 23. Let g(p) be the first derivative of 11*p**2/2 - 8*p + 1416. Give 17*g(b) + 6*q(b). -5*b + 2 Let g(m) = 7*m - 2. Let i(x) = -6*x + 7698 - 3850 + 14*x - 3851. What is 5*g(t) - 4*i(t)? 3*t + 2 Let n(p) = -2*p**3 + p - 4. Let f(y) = -y**3 - 3. Suppose -73*r - 10 = -193 - 36. Determine r*n(o) - 4*f(o). -2*o**3 + 3*o Let y(o) = 371*o. Let n(i) = 44*i. Let q(p) = -42*n(p) + 5*y(p). Let k(t) = t + 1. Give -3*k(u) - q(u). -10*u - 3 Let b(i) = i**2 + 3 - 6*i + i**2 + 4*i**2 - 1. Let n(a) be the second derivative of 0 - 2*a**2 - 17*a - 11/12*a**4 + 11/6*a**3. Determine 7*b(p) + 4*n(p). -2*p**2 + 2*p - 2 Let k(x) = 270*x**2 - 21*x - 3. Let m(b) = 62*b**2 - 5*b - 1. Let j(p) = 3*k(p) - 13*m(p). Let f(g) = -5*g**2 - 3*g - 5. Determine 3*f(q) + 4*j(q). q**2 - q + 1 Let q(t) = -3*t**2 + 2*t - 2. Let x(r) = -4*r**3 - 6*r**2 - 7*r - 6. Determine -4*q(y) + x(y). -4*y**3 + 6*y**2 - 15*y + 2 Let m(s) = 66*s + 3233. Let r(c) = 119*c + 6464. Determine -18*m(f) + 10*r(f). 2*f + 6446 Let x(a) = 12*a**3 - 25*a**2 + a + 479. Let v(y) = 14*y**3 - 30*y**2 + 477. Give 5*v(n) - 6*x(n). -2*n**3 - 6*n - 489 Let d(r) = -r - 9. Let o(x) = 3*x - 3593 + 3593 - 2*x. Calculate -d(g) - 3*o(g). -2*g + 9 Let o(t) = 9*t - 10. Let j(c) = -145 + 154 - 10. Calculate -6*j(s) + o(s). 9*s - 4 Let q(y) = -3121*y - 95. Let m(r) = -12482*r - 412. Calculate 6*m(x) - 26*q(x). 6254*x - 2 Let x(l) = 6*l**2 + 55*l - 17. Let d(i) = -4*i**2 - 28*i + 7. Give 5*d(w) + 3*x(w). -2*w**2 + 25*w - 16 Let p(o) = -445*o + 103. Let w(s) = -1336*s + 342. Calculate -10*p(g) + 3*w(g). 442*g - 4 Let v(m) = 9*m**3 - 4*m + 4. Let x(z) = -10*z**3 + 5*z - 5. Let c(l) = -2*l - 116 - 3*l - 3*l + 4*l. Let s be c(-28). Give s*x(w) - 5*v(w). -5*w**3 Suppose -2346 = 8*f + 1814. Let z be (f/(-50))/((-4)/(-10)). Let c(v) = -39*v**3 - 26*v**2 - 26*v - 26. Let h(r) = -r**3 - r**2 - r - 1. Give z*h(l) - c(l). 13*l**3 Let u(f) = -f - 13 + 3 + 6 + 5. Let i be (10/(-25))/(5/25). Let k(v) = 1. Determine i*k(q) + 3*u(q). -3*q + 1 Let k(g) = 9*g - 7 - 1163*g**2 + 5 + 1164*g**2. Let p(q) = q**2 + 14*q - 3. Determine -8*k(h) + 5*p(h). -3*h**2 - 2*h + 1 Let x(m) = 3*m**3 + 5*m**2 + 4*m - 7. Let u be ((-13)/13)/(4/(-48)*3). Let f(h) = -3*h**3 - 6*h**2 - 5*h + 8. Calculate u*f(v) + 5*x(v). 3*v**3 + v**2 - 3 Let z(n) = n - 3. Let b(t) = 1. Let p(m) = 3. Let j(l) = -11*b(l) + 4*p(l). Suppose 0 = 16*q - 9*q - 42. Let i be ((-8)/36*q)/((-4)/6). Determine i*j(f) + z(f). f - 1 Suppose -5*j - 36 + 11 = 0. Let b(y) = -252 + 4*y + 1036 - 262 - 259 - 258. Let n(v) = -3*v - 3. Give j*b(a) - 8*n(a). 4*a - 1 Let u(v) = -13*v**2. Let n(a) = -28*a - 12. Let h(y) = 56*y + 23. Let w(r) = -3*h(r) - 5*n(r). Let b be w(0). Let g(c) = 27*c**2. Determine b*u(m) - 4*g(m). 9*m**2 Let b(n) = 6*n**2 - 62*n + 23. Let h be b(10). Let m(u) = -11*u + 108*u**3 - 208*u**3 + 101*u**h + 3*u. Let i(q) = -q. Calculate 2*i(s) - m(s). -s**3 + 6*s Let t(v) = -1. Let h(z) = 25*z + 21. Let g(w) = 2*w - 4*w + 0*w - 4 - 9*w + 6*w. Let m(r) = 11*g(r) + 2*h(r). Calculate m(q) - 3*t(q). -5*q + 1 Let n(p) = -187077219*p + 222332. Let c(h) = -10097*h + 12. Calculate -55583*c(q) + 3*n(q). -10106*q Let s(i) = -i**2 + i + 1. Let z(d) = 2*d**3 - 2*d**2 - 2. Let t = 3341 - 3340. Calculate t*z(c) - 2*s(c). 2*c**3 - 2*c - 4 Let f(i) = -11*i**3 - 2*i**2 + 4*i + 4. Suppose 5*l - w + 23 = -18, -2*l + w = 14. Let m(c) = -45*c**3 - 9*c**2 + 17*c + 17. Determine l*f(d) + 2*m(d). 9*d**3 - 2*d - 2 Let a(z) = -14*z**2 - 8*z + 11. Let c(t) be the third derivative of -1/12*t**5 - 1/8*t**4 - 43*t**2 - 3*t + 0 + 2/3*t**3. Calculate 3*a(d) - 8*c(d). -2*d**2 + 1 Let q(b) = -5*b**2 - b - 3. Let d(g) = g + 1. Suppose 250 - 113 = -6*c + 119. Give c*d(n) - q(n). 5*n**2 - 2*n Let y(g) = 3*g - 1. Let l(v) = 2*v - 1. Let k(o) = -39*o + 2269. Let z be k(58). Determine z*l(i) - 6*y(i). -4*i - 1 Let a(y) = -91*y**3 + 78. Suppose -656*q = -653*q - 642. Let l = -215 + q. Let c(j) = -j**3 + 1. Determine l*a(p) + 78*c(p). 13*p**3 Let g(w) = -6*w - 1. Let v(y) be the third derivative of y**5/60 + 17*y**4/24 + y**3/2 + 211*y**2. Let t be ((-6)/4)/(12/(-8)) + -8. Determine t*g(n) - 2*v(n). -2*n**2 + 8*n + 1 Let v(n) = -1. Let m(j) = -3185 + 1609 + 1584 + 35*j. Calculate m(x) + 6*v(x). 35*x + 2 Let v(d) = -d**3 + 2*d**2 + 4*d - 1. Suppose 3*o - 27 = 3*x, x - 2 = -o + 7. Let a(w) = 7 + 5 - 14 + 9*w - 2*w**3 + 4*w**2. Calculate o*v(q) - 4*a(q). -q**3 + 2*q**2 - 1 Let f(l) = 1358 + 9*l - 698 + 13*l**2 - 669. Let k(v) = -3*v**2 - 2*v + 2. Give 2*f(t) + 9*k(t). -t**2 Let h(b) = -160*b - 25. Let k(x) = -71*x - 11. Let p(m) = 4*h(m) - 9*k(m). Let t(c) = -2*c - 1. Let w be (-4)/(-6) - 11/3. Determine w*t(f) + 4*p(f). 2*f - 1 Let p(b) be the first derivative of 4*b + 4 + 0*b**2 + 4/3*b**3 - 3/2*b**4. Let o(h) = -h**3 + h**2 + 1. Calculate -4*o(l) + p(l). -2*l**3 Let f(b) = -7*b + 5. Let w be f(4). Let r = w + 24. Let p(u) be the third derivative of 5*u**4/24 - 126*u**2. Let z(v) = -v. What is r*p(j) + 6*z(j)? -j Let g = -58 - -83. Let f(z) = -27 - 7*z**2 + g + 5*z**2 + 2*z. Let m(o) = -o. Let c(r) = -r**2 + 8*r - 1. Let y(h) = -c(h) - 6*m(h). Determine -2*f(u) - 3*y(u). u**2 + 2*u + 1 Let i(h) = -h - 4*h + h + 8. Let b = 25694 + -25688. Let n(v) = 2*v - 4. What is b*i(o) + 11*n(o)? -2*o + 4 Let v(x) = 11*x**3 - 27*x**2 - 44*x + 1. Let y
{ "pile_set_name": "DM Mathematics" }
/23, -7, 2/9? -7 What is the fourth smallest value in -12, -1, -1/12, -3/7, -3, -3/4? -3/4 Which is the second smallest value? (a) 0.1 (b) 3 (c) -2 (d) 141078 a Which is the third biggest value? (a) -5 (b) 1/9 (c) 1386407 a What is the fifth smallest value in -0.06, -7, 2, -2/675, -4? 2 Which is the smallest value? (a) 0.1 (b) -387/4 (c) 7 (d) 39 b Which is the second biggest value? (a) 0.02 (b) -32 (c) -2/7 (d) -2/5 (e) 3/2 a What is the second biggest value in -2.34, -0.71, -5? -2.34 What is the fourth smallest value in -12/5, 2/3, -1/4, 71, -4, 3/4? 2/3 Which is the second smallest value? (a) 0.22 (b) 7 (c) -5 (d) -1/3 (e) -1/13 d What is the fifth biggest value in -0.4, -4, -5, -0.5, -61, -74? -61 Which is the second smallest value? (a) 71 (b) 2 (c) 0.024 (d) -0.32 c Which is the fourth smallest value? (a) -0.0779 (b) -12 (c) 4 (d) -3/4 c Which is the smallest value? (a) -0.2 (b) -0.06 (c) -1/2 (d) -1 d What is the third smallest value in 3, 1, 0.2, 3/7, 25? 1 Which is the third biggest value? (a) 2/3 (b) -2/9 (c) 11270 b Which is the fourth smallest value? (a) -4 (b) 2 (c) -0.03 (d) -1/4 (e) 0.7 e What is the third biggest value in 4, 2, 2/203, -5, -2? 2/203 What is the smallest value in -5, -7, 0.5, 2/11, 4, 54? -7 Which is the smallest value? (a) -22 (b) -554 (c) -2 b What is the fourth biggest value in -205, -2/43, -0.1, 0.07? -205 Which is the third biggest value? (a) -5 (b) 3/61 (c) 6/7 a Which is the smallest value? (a) -0.1 (b) 3 (c) -2 (d) -0.12 (e) 9 c Which is the biggest value? (a) -0.22 (b) 14/323 (c) 0 (d) 1/10 d What is the second biggest value in -4, 0.04, 0.5, 1892? 0.5 Which is the second biggest value? (a) 254.9 (b) -2/5 (c) 5 (d) 0.4 (e) 0.2 (f) 0.07 c What is the fourth smallest value in -1/3, -41, -1/11, 1, 0.2? 0.2 Which is the second smallest value? (a) -1/9 (b) -0.3 (c) -15 (d) -38 (e) -0.8 c What is the smallest value in -0.5, 1, 4/9, -3? -3 Which is the biggest value? (a) 12 (b) 1/6 (c) -0.5 (d) -1.9 (e) 2/5 (f) -2 a What is the fourth smallest value in -965, -2, 0.1, -0.05, 1, 3? 0.1 Which is the sixth smallest value? (a) 0 (b) 3.09 (c) -2/33 (d) 6/11 (e) 6/7 (f) -2/7 b What is the smallest value in -0.03, 1/2, 0.8, 0.069, -2/11, 4? -2/11 Which is the fourth biggest value? (a) -0.198 (b) -2.5 (c) 1/56 (d) -2/17 b Which is the fourth biggest value? (a) -0.052 (b) -1 (c) -18 (d) -0.4 c What is the third biggest value in -1/4, 35333, -5? -5 Which is the third smallest value? (a) 0.08 (b) 4/9 (c) 81 c Which is the fourth smallest value? (a) 1/7 (b) -5 (c) -10/63 (d) 15 d What is the fourth smallest value in -3, -0.135, 0, 1/37, -4? 0 What is the second smallest value in -138, -0.5, -9.9? -9.9 Which is the sixth biggest value? (a) 0.3 (b) -1 (c) -1/6 (d) 90 (e) 0.03 (f) -3/14 b Which is the biggest value? (a) -0.1 (b) 32/51 (c) 4 (d) 5 (e) -1/5 d Which is the second biggest value? (a) 1/4 (b) 24 (c) 5/39 (d) 0.02 (e) -0.7 a Which is the fourth smallest value? (a) -2/63 (b) -0.2 (c) 3/64 (d) 0.4 d Which is the third smallest value? (a) 18 (b) -6 (c) 94 (d) -4 (e) 0.3 (f) -2/23 f What is the second smallest value in 4/5, 0.3, 1252, 1? 4/5 What is the smallest value in -37, -2, -106? -106 Which is the third smallest value? (a) -205 (b) -42 (c) 0.1 (d) -3/4 d What is the third biggest value in 3/26, -1, -39? -39 Which is the second smallest value? (a) 865.1 (b) 0 (c) -1 (d) -9/4 c Which is the smallest value? (a) -0.4 (b) -3.4 (c) -2/11 (d) -384 d What is the third biggest value in -18518, -0.2, 5, 1? -0.2 What is the third biggest value in -0.5, 1/2, -3, -1260, 4? -0.5 What is the fourth smallest value in -5, -4, 2/3, 228, -1.5? 2/3 Which is the biggest value? (a) -3/5 (b) 13 (c) -16572 b What is the second biggest value in -0.4, -8/7, -2/19, -0.25? -0.25 What is the fourth biggest value in -1, -2/13, -73/2, 1, -32? -32 Which is the fourth smallest value? (a) 5 (b) -38 (c) -43 (d) 0.3 a What is the second smallest value in -0.17, 90, -1/3, 0, -3/7, -2/7? -1/3 What is the smallest value in -1/4, -7.3, 0.4, -2, -1? -7.3 What is the second biggest value in 0.04, 1/6, 0.048? 0.048 Which is the biggest value? (a) 7569 (b) -0.03 (c) -0.4 (d) 5 (e) -0.5 (f) 0.1 a Which is the fourth smallest value? (a) 52 (b) -0.1 (c) 1 (d) -4 (e) 12 (f) 2/11 c What is the third smallest value in -11.9, -1408, 1/3? 1/3 What is the biggest value in 0, 0.2, 11616, -3? 11616 What is the fifth biggest value in -0.1, 8/9, 0.2, -4, -312? -312 Which is the fifth smallest value? (a) 2 (b) 6 (c) -3 (d) -0.4 (e) -3/4 (f) 10727 b Which is the smallest value? (a) 2 (b) 1 (c) -1/9 (d) -184.1 d Which is the biggest value? (a) -0.4 (b) -2/155 (c) -0.2 (d) -2/7 (e) 57 e What is the third smallest value in 61/2, -0.4, -2/17, 0.1, 3? 0.1 What is the smallest value in -2, -7/3965, -7/4? -2 What is the biggest value in -3, 2, 5, 340621? 340621 Which is the second smallest value? (a) -2/19 (b) -278548 (c) 0.3 a What is the second biggest value in -1/2, 2, 1, 34, -4, 1.33? 2 What is the fourth biggest value in 4, 0.3, 7, 1/6, 2, 34888? 2 What is the third biggest value in -0.3, -4, -0.2, 0.1264? -0.3 Which is the second smallest value? (a) -2 (b) 0.2 (c) -3/4 (d) -0.27 (e) 0.4 c Which is the second smallest value? (a) 1 (b) -1/34 (c) -0.5 (d) -5 (e) 0.5 (f) -0.93 f What is the third biggest value in 8/239, -3, 9? -3 What is the sixth smallest value in -1, -1/4, 0.4, -2, 20, 1.7? 20 What is the sixth biggest value in -1, 0.05, 1, 2/11, -4, 2/135? -4 Which is the sixth smallest value? (a) -0.1 (b) 16 (c) -1/31 (d) 2 (e) 0.5 (f) -1/12 b Which is the fifth biggest value? (a) -32 (b) -1 (c) 1/12 (d) 1 (e) -0.2 a Which is the second smallest value? (a) 3 (b) -17 (c) -1/7 (d) -0.3 (e) -0.5 e What is the fifth biggest value in -4, 64, 5, -2, 17, 3? -2 What is the smallest value in 2/9, -14/5, 20.8? -14/5 Which is the fourth biggest value? (a) 1/7 (b) 2.3 (c) -6 (d) 0.038 c What is the fifth biggest value in 3/5, -7/134, -13, -0.4, -0.1? -13 What is the third biggest value in -4/77, 4, 2/7, -171, 2/9? 2/9 Which is the third smallest value? (a) -252 (b) 5650 (c) 4 b What is the fifth smallest value in -0.1, -1.1, 2/21, -14, 0.06, 1? 2/21 What is the third smallest value in 3/115, -2/19, 7.59? 7.59 Which is the biggest value? (a) 0.5 (b) 4 (c) -30 (d) -11 (e) -2 (f) 5 f What is the second biggest value in 0.2, -2, 51, 0, -5? 0.2 What is the smallest value in 21808, -2, 3/11? -2 Which is the second biggest value? (a) -110067 (b) -2/9 (c) 4 b What is the fourth smallest value in 1, -27, 5, 65, 3? 5 Which is the third biggest value? (a) 3 (b) 149 (c) 133 a What is the biggest value in 23/3, 8.16, 1/8? 8.16 What is the sixth biggest value in -0.05, 0.3, -4, -1/4, -125, -1? -125 What is the smallest value in -4594, -0.4, 4, 5? -4594 Which is the fourth smallest value? (a) -0.81 (b) -5 (c) -1/19 (d) 2 d What is the fourth smallest value in 34, -2, 2/9, 2, 4, 3/4? 2 What is the third biggest value in 2, 3, 1/4, -0.307, -2/9? 1/4 Which is the fifth biggest value? (a) -1658/5 (b) 0 (c) -10 (d) 2/3 (e) -2/7 a What is the fifth biggest value in -0.019, -0.04, 4, 51, 1? -0.04 What is the third biggest value in 0.3, -10, -69.2, -4, 0.1? -4 What is the smallest value in -4, 1/2, -5, 291? -5 Which is the third smallest value? (a) -0.4 (b) -4 (c) -30 (d) -2007 (e) 2/3 b What is the fifth biggest value in -159, -9, -0.1, 0.1, -61? -159 Which is the fourth biggest value? (a) -4 (b) 80/31 (c) -0.3 (d) -2/13 (e) -6 a What is the third smallest value in 12, -0.024, 0.4, -11/3? 0.4 Which is the smallest value? (a) 7 (b) -1 (c) 678 b What is the sixth smallest value in 1/10, -462, 1/8, 1/4, -1, 0.4? 0.4 Which is the biggest value? (a) -4 (b) -2 (c) -0.3 (d) 4/3 (e) 12 (f) 11 e Which is the third biggest value? (a) 3 (b) -0.004 (c) 1.7 b Which is the fifth smallest value? (a) -3/2 (b) -5 (c) -100 (d) -4 (e) -15 (f) -49 d What is the third biggest value in -97, -0.3, -6, 1, 1/6? -0.3 Which is the second smallest value? (a) 0.12 (b) 2/7 (c) -0.03
{ "pile_set_name": "DM Mathematics" }
s = 26/51 + -3/17. Let y = 3/14 + 1/28. Let d be (-6)/15*((-12)/36 - 3). What is the smallest value in d, s, -2, y? -2 Let p = 97.3 + -112. Let w = p + 15. Let z be 910/231 + (-1)/((-1)/(-4)). What is the third biggest value in z, w, -3? -3 Let h be (-1)/(12 - (-2040)/(-168)). What is the biggest value in 1/6, 2, h, 5, -2? h Let r = 23229 - 23296. What is the second smallest value in 0.3, -0.3, r, 5, -2/7? -0.3 Let w = 13/42007 + -7765456092/210035. Let x = w - -36721. Let s = x - -252. Which is the second smallest value? (a) 1 (b) -7 (c) -2 (d) s c Let m(p) = -p**2 - 12*p + 13. Let j be m(-9). Let n be (-3596)/(-32) + (-15)/j. Let i be 92/n - 1/4. Which is the second biggest value? (a) i (b) -0.4 (c) 1 a Let p = -4.6166 - -4.9166. Suppose 2*x + 0*x + 50 = 0. What is the biggest value in x, 1/3, p? 1/3 Let b be ((-5)/10)/((117/24)/(-13)*-1). What is the fourth biggest value in -91, 3, b, 0.1? -91 Let h = -2999.8 + 3000. What is the fourth smallest value in -2/3, 8, 1/2, h? 8 Let p = -458.9 - -463.9. Let f be -4 + 4 - 10/2. What is the biggest value in p, f, -2/15? p Let y = 15685 + -611699/39. Which is the second smallest value? (a) y (b) 0.1 (c) -2/11 b Suppose 0 = z - 0*t + 2*t - 289, 0 = -4*z - 2*t + 1186. Let r = z - 2096/7. Which is the second smallest value? (a) 0.3 (b) r (c) 1 a Suppose -5*v = -3*o + 114 - 42, -4*o = 4. Which is the smallest value? (a) 3 (b) 4 (c) v c Let v(s) = s**3 - 14*s**2 + 8*s + 70. Let a be v(13). What is the third smallest value in 13/7, 3, a, 2? 3 Let j = -0.6154 + 0.2154. Let s = -49 + 50. Which is the smallest value? (a) 2/9 (b) -11 (c) j (d) s b Let w = -5.4 - 0.1. Let n = -34.5 + w. Let f = -39.5 - n. What is the third biggest value in -13, f, -5? -13 Let z = 1468.7 - 1467.6099. Let b = -0.0471 + z. Let k = b + -0.043. What is the smallest value in 4, -1, k? -1 Suppose -19*o - 1326 = 20*o. Which is the biggest value? (a) o (b) 1/5 (c) -1 (d) -0.4 b Let n = -2 + 1. Suppose -243*x + 2013 = 51*x + 543. Let y = 0.07 - 0.04. What is the fourth biggest value in y, n, -3, x? -3 Let z = 7328.7 - 7329. Which is the fourth biggest value? (a) 1/8 (b) 4 (c) -23 (d) z (e) -2/9 d Let s = 256 + -7. Let i = -249.06 + s. Which is the smallest value? (a) -4 (b) i (c) 8 a Suppose 1 = 5*j + 4*k, 3*j + 5*k + 25 = 36. Let s = 0 + -0.2. Which is the second smallest value? (a) -4/7 (b) -0.1 (c) s (d) j a Let i(h) = -10*h**2 + 33*h - 4. Let y be i(3). Which is the second smallest value? (a) -0.56 (b) -36 (c) y a Let j = -2825 + 2822. Which is the third biggest value? (a) 34 (b) 2 (c) j (d) -1 (e) 3 b Let z = 47 - 93. Let k = z - -48. Which is the third biggest value? (a) -1.1 (b) -0.4 (c) k a Let m = -11 - -10.07. Let q = 43.07 - m. Let h = q - 42. What is the fourth biggest value in 0, 4/5, -3, h? -3 Suppose -4*j + w = 12, -2*j + 2*w + 12 = -3*j. Let l = -0.187 - 79.813. Let g = l + 80.3. Which is the fourth smallest value? (a) -0.5 (b) g (c) 2/7 (d) j b Let t = -0.6 + 0.9. Suppose 3*w - y - 405 = -5*y, -274 = -2*w - 4*y. Let p = w - 658/5. Which is the second biggest value? (a) p (b) 1/2 (c) t c Let f = -0.7 - -0.2. Let z = -65370/23 + 130809/46. Which is the third smallest value? (a) f (b) 3 (c) 4/7 (d) z d Let a = -857 + 493. Let u = 362 + a. What is the second biggest value in 2, u, -24? u Let i = 95 - 93.47. Let u = i + -1.23. Let l = 3 + -2.8. What is the third smallest value in -1/8, u, l? u Let f = -1737.7 - -1738. Let h = -0.02 + -0.98. What is the fourth biggest value in 5, h, 3, f? h Let y = -22.6016 - -5.6016. Let t be (4 - 6)*1/(-10). What is the biggest value in y, t, -0.3, 1? 1 Suppose 5*x + 9 + 1 = 0. Let l be (x/75)/((-2)/10). Let v = -96432 - -96431.9. What is the biggest value in l, 0.1, v? l Let o = 1700 + -1697.9864. Let j = -0.0136 + o. Which is the smallest value? (a) j (b) -31 (c) 3/7 b Suppose -g + 5 = -5*f, -4*g + 6*g + 1 = -f. Let x be (g - -1)/(-12 + 11). Which is the third biggest value? (a) -4/7 (b) -34 (c) x b Let j = 55 - 52. Let t be ((-8)/10)/((-4)/(-10)). Let b be (-11)/(-15) - t/(-5). What is the third biggest value in b, -0.5, j, 2/9? 2/9 Let i = -50 - 127. Let m = i + 182. Which is the second smallest value? (a) 1 (b) m (c) 0.1 a Let h(j) = -2*j**3 - 10*j**2 - 19*j - 38. Let o be h(-3). Which is the second smallest value? (a) 1/9 (b) -11 (c) o b Let n = -462.3 - -462. What is the fifth biggest value in 1, -12/29, 0.5, n, -0.2? -12/29 Let y = 481.9 + -452. Let x = 26.9 - y. What is the third smallest value in -0.4, -5, x, 0? -0.4 Let c = 43.129 - -0.871. What is the third smallest value in 1, -3/4, c, 0, 1/12? 1/12 Let o = 1033/10 - 199/2. Let u = o + -5. Which is the biggest value? (a) 2 (b) u (c) -0.08 a Let f = 63.059 + -63. Let i = 4.059 - f. Let l = 0.04 - 0.24. Which is the smallest value? (a) l (b) -1 (c) i b Let g be (-5)/(-4)*10/75. Let x be (-9)/(-6) + -4 + 95/30. Which is the biggest value? (a) x (b) 0.14 (c) g a Let o = 333 + -413. Let q be ((-2)/(-8))/(60/o)*-18. Which is the fourth biggest value? (a) 25 (b) 4 (c) 2 (d) q c Let f = 317 - 317.059. Let j = -0.559 - f. Let o = 15 - 14. Which is the third biggest value? (a) o (b) 0 (c) j c Let z(m) = m**2 + 33*m - 380. Let j be z(-42). What is the fourth smallest value in -4/55, 3, 2, j? 3 Let z = -160.55 + 164.55. What is the third biggest value in 3, -3/38, 0, z? 0 Let t = -29588 - -29586. What is the second smallest value in -6, -3, t, -6/13, -0.5? -3 Suppose 0 = w - 5*j + 27, -4*j = 5*w - 15 + 5. Let q = 10 - 5. Let v be (-15)/(-105)*14/(-4) + (-20)/(-24). What is the third smallest value in q, -21, w, v? v Let q = -1.45 + 1.35. Let k = -74 + 69. Which is the smallest value? (a) 7/16 (b) k (c) q (d) 1 b Let m = -126.68 - -126.72. What is the fourth biggest value in 4/9, m, 2/293, -4? -4 Let h = 937 + -936.7. What is the fifth smallest value in 0, -0.9, -2/19, 0.2, h? h Let k = -66.809 + -0.541. Let o = k - -67. What is the second biggest value in -0.2, -0.1, 2, o? -0.1 Let y be 3/18*8/(-4). What is the biggest value in -4, y, -35, -1? y Let n = 72 - -4. Let h = -72.36 + n. Let t = h + 0.36. Which is the second smallest value? (a) -7 (b) t (c) -3 c Let c = -286 - -354.1. Let u = 68 - c. Let a = -1 - -1. What is the second smallest value in u, -5, a, 2/11? u Let h = 1921/140 + -317/28. Let c be 0 - (1 - 2) - 3. What is the second biggest value in 4, 2/9, h, c? h Let m = -2948/63 + 326/7. Let n = -2.7 + -0.3. Which is the fourth smallest value? (a) 1 (b) 2/11 (c) m (d) n a Let f = 0.061 + 6.739. Let z = -4.8 + f. Let p = 35.5 + -36. Which is the biggest value? (a) p (b) 2/13 (c) z (d) 1/4 c Let p = -7 - -11. Let u be (-480)/(-144)*(-3)/15. Let n(i) = 3*i - 1. Let q be n(1). Which is the second smallest value? (a) p (b) u (c) -0.4 (d) q c Let q = -91.7 + 95.7. What is the fourth biggest value in 15, q, -2/15, 0.01? -2/15 Suppose -10*a = 21 + 19. Let o(z) = 4*z + 17. Let g be o(a). Let k = 0.36 + 16.64. What is the second biggest value in g, k, 3? 3 Let o = 48616/69 - 2114/3. Which is the fourth biggest value? (a) 6 (b) o (c) 3 (d) -5/8 d Let d = 16.4 + -18.28. Let w = 0.88 + d. Let v = -8 - -6. Which is the second smallest value? (a) v (b) 0.2 (c) w c Let v = 0.0276 + -0.1276. What is the fourth smallest value in -0.5, v, 0.149, 1, -2? 0.149 Let j = 0.45 - 24.45. Let l = j + -29. Let k = l - -54. What is the biggest value in 7, k, -5? 7 Let q be 374/(-374)*(2/7)/1. What is the second smallest value in -0.1, 0.3, q, -3/19? -3/19 Let n = -186 + 65. Let l = 121.5 + n. What is the second biggest value in 97, 0.1, -0.3, l? l Let l = -3373 + 2202. Let o = 1171.4 + l. Let h = 8/11 + -10/11. What is the second biggest value in 5, h, o, -5? o Let l = -468 + 464. What is the fourth biggest value in 5, -19, 4, 3, l? l Let s be 0 + 7 + -7 + (-944)/5. Let l = 188 + s. Let q = -1 - -0.6. What is the fourth biggest value in 0, l, 1/3, q? l Let d = 1891 - 1890.9. What is the third biggest value in -1.7, -1.8, d, -1, -0.3? -1 Let p = 19.8 + -23.02. Let h = -3.52 - p. Let o = 0.5 - 0.7. What is the biggest value in h, 4, o, 0.5? 4 Let l be 1/(-5) + -15 + 2496/80. Let h = -223/427 - 3/61. Which is the third smallest value? (a) -1 (b) l
{ "pile_set_name": "DM Mathematics" }
9*u**2 - 9227 + 4615. 574*u**2 Collect the terms in -265*b**2 - 160*b**2 - 181*b**2 - 302*b**2 + 1264*b**2. 356*b**2 Collect the terms in -107*x - 392 + 372*x + 192 + 200. 265*x Collect the terms in -1145*x**2 + 2*x + 14719*x**2 + 6*x - 8*x. 13574*x**2 Collect the terms in 2 - 4 + 117125197*n - 117125197*n + 3*n**2. 3*n**2 - 2 Collect the terms in -76*d**3 - 82*d**3 + 454*d**3 - 167*d**3 - 134*d**3. -5*d**3 Collect the terms in 3064*v + 1434 + 1190 - 2622. 3064*v + 2 Collect the terms in 2*o**2 - 232*o**3 + 292*o**3 - o**2 - o**2 - 350*o**3 + 294*o**3. 4*o**3 Collect the terms in -47 - 12 + 42*w + 44*w + 67*w. 153*w - 59 Collect the terms in -183*s**2 + 100*s**2 - 146*s**2 + 22*s**2 + 110*s**2 + 103*s**2. 6*s**2 Collect the terms in 665*c + 751*c - 350*c. 1066*c Collect the terms in -4*r**2 + 23*r**3 + 110*r - 21*r**3 - 16*r**3 + 3*r**2 + r**2. -14*r**3 + 110*r Collect the terms in -4*x**3 - 199803817002 + 199803817002. -4*x**3 Collect the terms in -5083 - 3*z**2 - 19*z**2 + 7*z**2 - 20*z**2. -35*z**2 - 5083 Collect the terms in -1199958*f - 3 - 1860061*f + 3. -3060019*f Collect the terms in -2482*n - 1697*n - 455*n - 1121*n + 1006*n. -4749*n Collect the terms in -19558*z**2 - 35025*z**2 + 54583*z**2 + 15*z**3. 15*z**3 Collect the terms in 49*a + 178 + 195*a - 178 - 166*a. 78*a Collect the terms in 7855*i**2 - 118676*i**2 - 12227*i**2. -123048*i**2 Collect the terms in 4619056*q**2 - 9237566*q**2 + 4619361*q**2. 851*q**2 Collect the terms in 69634*n + 1 + 69922*n - 139562*n. -6*n + 1 Collect the terms in -23225044*n**3 + 5*n + 23225042*n**3 + 402*n**2 - 5*n. -2*n**3 + 402*n**2 Collect the terms in -3 + 3 + 263131*d**3 - 86233*d**3. 176898*d**3 Collect the terms in 2*a**2 + 134*a - 9*a**2 + 8*a**2 + 136*a - 273*a. a**2 - 3*a Collect the terms in 3314987*m - 1105013*m - 1104993*m - 1104978*m. 3*m Collect the terms in 18*s - 5278 + 5141 + 14*s. 32*s - 137 Collect the terms in 161*w + 25*w - 25*w + 291*w - 92*w + 193*w. 553*w Collect the terms in -661*y**2 - 5*y**2 + 2611*y**2 + 3348*y**2. 5293*y**2 Collect the terms in -947*m**3 - 676*m**3 - 2693*m**3 - 780*m**3. -5096*m**3 Collect the terms in 950 + 954 + 1240 + 955 - 4099 - 19*b. -19*b Collect the terms in 10 - 278*g - 5 - 179*g**2 + 278*g. -179*g**2 + 5 Collect the terms in -4*g**3 - 920 + 141 + 137 + 505 + 137. -4*g**3 Collect the terms in 2*v**3 + 473734830*v - 473734830*v + 51. 2*v**3 + 51 Collect the terms in 4 - 7 + 3 + 235044*r**3. 235044*r**3 Collect the terms in -360 + 3*g**3 + 78*g**2 + 346 - 79*g**2. 3*g**3 - g**2 - 14 Collect the terms in 8 - 18 - 578*d + 3585*d + 4. 3007*d - 6 Collect the terms in 23*r + 36*r - 79*r + 98*r + 3 - 2. 78*r + 1 Collect the terms in -2392*j - 1003*j + 9071*j + 8855*j. 14531*j Collect the terms in -927*p**2 + 2484 - 829 + 4308*p**2 - 829 - 824. 3381*p**2 + 2 Collect the terms in -4349 - 4093 - 79*x + 8442. -79*x Collect the terms in 0 - 13 + 13 + 81832*d. 81832*d Collect the terms in 10*v + 1 + 4*v - 40*v - 1. -26*v Collect the terms in 5014*m**2 + 5000*m**2 - 10020*m**2 + 44*m - 2. -6*m**2 + 44*m - 2 Collect the terms in -41999454460 + 41999454461 - 126*o**2 - 7*o**2. -133*o**2 + 1 Collect the terms in -9 + 9 + 2648*t - 1461*t - 1084*t. 103*t Collect the terms in 89*y + 21*y + 25*y - 144*y. -9*y Collect the terms in 3599 - 3599 + 487786*q. 487786*q Collect the terms in -10*w**2 - 116*w - 36*w**2 - 11*w**2 + 108*w - 40*w**2 - 7*w**2. -104*w**2 - 8*w Collect the terms in 3853*a**2 + 2690*a**2 + 9337*a**2. 15880*a**2 Collect the terms in -30 + 238*g + 105*g**2 - 408*g**2 + 100*g**2 + 103*g**2 + 104*g**2. 4*g**2 + 238*g - 30 Collect the terms in 237712*k**2 - 79765*k**2 - 78185*k**2 - 79770*k**2. -8*k**2 Collect the terms in 416*i**3 + 325*i - 143*i**3 - 135*i**3 - 139*i**3. -i**3 + 325*i Collect the terms in 1154 + 3349*t + 1156 - 3467 + 1157. 3349*t Collect the terms in 110*r**2 - 74 + 30 + 74 + 59. 110*r**2 + 89 Collect the terms in 3902*x**3 - 1867*x**3 - 1691*x**3. 344*x**3 Collect the terms in -112383062*c**2 + 224766090*c**2 - 112383100*c**2. -72*c**2 Collect the terms in 4 + 782*d + 673*d - 2116*d + 672*d - 4. 11*d Collect the terms in -6062*k**3 + k**2 + 1522*k**3 - k**2 + 1518*k**3 + 1529*k**3 + 1507*k**3. 14*k**3 Collect the terms in -8407*w - 89*w**2 + 8414*w + 92*w**2. 3*w**2 + 7*w Collect the terms in -33*x - 29*x + 101*x - 39*x + 18*x**3 + 76*x**3. 94*x**3 Collect the terms in 3*m - 2578*m**3 - 218*m**2 - 600*m**3 + 76*m**2. -3178*m**3 - 142*m**2 + 3*m Collect the terms in -763*r**2 + 6 - 777*r**2 + 1546*r**2 - 6. 6*r**2 Collect the terms in k - 73 - 8*k - 12*k - 20*k + 57*k. 18*k - 73 Collect the terms in -39*x - 38*x + 1470*x**3 + 1450*x**3 + 120*x - 43*x - 2917*x**3. 3*x**3 Collect the terms in -602 + 1722 - 565 - 555 + 5*r**3. 5*r**3 Collect the terms in -4*u**2 - 21 - 29 + 1180*u - 30 + 74 - 1180*u. -4*u**2 - 6 Collect the terms in 5 + 5 + 74306*o**2 - 74304*o**2. 2*o**2 + 10 Collect the terms in 151*t + 367*t + 4219*t + 3043*t. 7780*t Collect the terms in 752*g**3 + 552*g**3 - 2582*g**3 + 1277*g**3. -g**3 Collect the terms in 7*w + 64*w**3 - 121*w**3 - 12*w + 52*w**3. -5*w**3 - 5*w Collect the terms in -2134 + 722 - 394*f + 1412 + 6*f**2. 6*f**2 - 394*f Collect the terms in 100780316 + 7*z**2 - 100780316. 7*z**2 Collect the terms in 5849*h - 1592*h - 2747*h - 3457*h. -1947*h Collect the terms in 297594*u**3 - 148854*u**3 - 2 - 148854*u**3 + 0. -114*u**3 - 2 Collect the terms in -817*d - 814*d - 124*d - 61*d**2. -61*d**2 - 1755*d Collect the terms in 9280*i**2 + 209 - 18559*i**2 + 9273*i**2 - 209. -6*i**2 Collect the terms in -94 + 1 + 355 + h + 362. h + 624 Collect the terms in 54*v - 25*v + 421*v**2 - 33*v - 36. 421*v**2 - 4*v - 36 Collect the terms in 90*c**2 - 666 + 23*c + 13*c**3 - 23*c - 11*c**3 + 666. 2*c**3 + 90*c**2 Collect the terms in 23 - 82 + 45 + 4*y**2 - 7 + 21. 4*y**2 Collect the terms in 9467*k - 854*k + 15426*k - 3662*k + k**2. k**2 + 20377*k Collect the terms in -38 + 38 + 2600*x - 858*x - 6*x**3 - 897*x - 845*x. -6*x**3 Collect the terms in 258*i - 1359*i + 342*i. -759*i Collect the terms in 292*c - 2*c**3 - 180*c - 711*c + 297*c + 302*c. -2*c**3 Collect the terms in -203839*f**3 + 107606*f**3 + 96236*f**3. 3*f**3 Collect the terms in 108873*j - 54421*j - 54654*j. -202*j Collect the terms in 3554*u**3 - 2298*u + 2298*u. 3554*u**3 Collect the terms in 38*z**2 - 69*z**2 - 75*z**2 - 29*z**2 - 117*z**2 - 49*z**2. -301*z**2 Collect the terms in -36724*h + 1 + 206042*h - 1. 169318*h Collect the terms in -4*v**3 - 5*v**3 + 11*v**3 + 70*v + 282 - 289. 2*v**3 + 70*v - 7 Collect the terms in 19 + 3*j**2 - 22*j + j**2 + 45 + 7 + 3*j. 4*j**2 - 19*j + 71 Collect the terms in -7 + 336798*v**3 + 2 - 336804*v**3. -6*v**3 - 5 Collect the terms in -265 + 3031*h**2 - 264 + 531 - 495*h**2 + 2165*h**2. 4701*h**2 + 2 Collect the terms in 175964404*x**3 - 37164*x - 175964405*x**3 + 37164*x. -x**3 Collect the terms in 2095*f - 199*f - 85*f + 441*f. 2252*f Collect the terms in -13*h - 7003274 + 7003274. -13*h Collect the terms in 62264*d - 62264*d + 2071*d**3. 2071*d**3 Collect the terms in -n**2 - 2460*n**2 - 399*n**2 - 353*n**2 - 1267*n**2. -4480*n**2 Collect the terms in -1144*l - 33040*l - 5382*l - 1161*l. -40727*l Collect the terms in -2*h - 12*h - 20*h - 8*h + 83*h. 41*h Collect the terms in 1742*n**3 - 347*n**3 - 1392*n**3. 3*n**3 Collect the terms in 24102*v**3 + 25160*v**3 - 9020*v**3 + 9777*v**3 + 33361*v**3. 83380*v**3 Collect the terms in -19848293 + 19848293 - 27*i**2 + 22*i**2. -5*i**2 Collect the terms in -52*o**3 + 159*o**3 - 35*o**3 - 26*o**3 - 1 - 22*o**3 + 9. 24*o**3 + 8 Collect the terms in -2435504*l**2 - 50*l + 50*l. -2435504*l**2 Collect the terms in -207212*u + 493899*u + 204425*u. 491112*u Collect the terms in 5210*y + 5238*y - 1082*y. 9366*y Collect the terms in -154341*i + 314722*i - 160406*i. -25*i Collect the terms in -3*o**2 + 1907 + 11*o**2 + 1866 - 5*o**2 + 0*o**2. 3*o**2 + 3773 Collect the terms in -61016761*p**2 - 61016595*p**2 + 122033344*p**2. -12*p**2 Collect the terms in -5 + 3397538*m**3 + 1 + 4. 3397538*m**3 Collect the terms in 888294*s - 596822*s + 933491*s + 789580*s + 719522*s. 2734065*s Collect the terms in -79*l**3 + 84*l**2 - 5*l**2 - 76*l**2 - 3*l**2 + 344*l**3. 265*l**3 Collect the terms i
{ "pile_set_name": "DM Mathematics" }
f - f + 5 = 0, -4*f = -2*x + 532. Let t be ((-28)/6)/((-22)/x). Suppose -t = -2*c + 846. Is c composite? True Is 174 + 8/2 + 9 composite? True Let w(v) be the second derivative of 0 + 41/6*v**3 - 3/2*v**2 - 8*v. Is w(4) a prime number? False Let w(r) = r**2 - r - 1. Let b(m) = -103*m**2 + 7*m + 6. Let d(k) = -b(k) - 5*w(k). Let y be d(-1). Suppose -3*a = -0*a - y. Is a a prime number? False Let m be 2 + -1 - (1 - 3884). Suppose -5*r = 4*j - m, 1983 = 4*r - 5*j - 1116. Suppose 6*c - r = 994. Is c a composite number? True Let n = 1097 + -388. Is n composite? False Let f(h) = h**2 + 2*h + 28. Let b be f(0). Suppose b*a + 4444 = 32*a. Is a a composite number? True Suppose -2*j = -4*h - 544, -272 = -3*j + 2*j - 2*h. Let s be 70/17 - 22/187. Suppose s*p + j = 2436. Is p a composite number? False Suppose -5*l + 13567 = -8478. Is l a prime number? True Suppose 15 = -5*l - 10. Suppose 0 = -4*t + 104 + 56. Is (-8)/t + (-886)/l a prime number? False Let l be 0 - 825 - 3 - 1. Let y = 2088 + l. Is y a prime number? True Suppose -2*q - 3*q - 25 = 0. Let z be 21/3 - (-4 - q). Let d(i) = 10*i**2 + 7*i + 5. Is d(z) a composite number? True Let d = -49 - -52. Suppose r - 2*n = -0*r + 1075, d*r = 2*n + 3237. Is r a composite number? True Let w(q) be the first derivative of 0*q - 67/2*q**2 + 9. Is w(-5) a composite number? True Let j(m) = -126*m - 6. Let o be j(4). Let h = 891 + o. Is h composite? True Let x(b) = -b**3 + 4*b**2 + 1. Let l be x(3). Let q be (-8)/(-40) + 3148/l. Suppose q + 1030 = 5*z. Is z prime? True Let o be (-6)/(-8) - ((-91998)/24 - -2). Is (-1)/3 - o/(-12) composite? True Suppose f + 2*f - 18 = 0. Suppose z + 2349 = -3*p, 0*z + 9351 = -4*z - 3*p. Is 1/f + z/(-36) a prime number? False Suppose -4*m - 3 = -11. Let d be (-8)/m*6/(-8). Suppose -z - 298 = -d*z. Is z a prime number? True Let y(p) = -2*p + 4. Suppose 2*d = 5*a + 4*d - 30, 5*d + 25 = 0. Let v be y(a). Let s = 26 + v. Is s composite? True Let g(b) = 634*b - 3. Let v be (-22)/(-77) + (-52)/(-14) - 3. Is g(v) prime? True Let l(a) = 127*a**2 - 2*a - 82. Is l(-7) composite? True Is (-4)/(-12) + 298804/33 composite? True Suppose 2*r - m = m - 20, -42 = 5*r - 3*m. Let u be 3441/4 + r/24. Is 2/14 + u/7 composite? True Is ((-2)/(-6))/((-17)/(-2003943)) a prime number? True Is (-22284)/(-10) + 2 + 114/190 a composite number? True Suppose 3*z = 9*z. Suppose v = -2*v + 12, z = 5*k + 4*v - 2611. Is k composite? True Suppose 5*z + 3963 + 3644 = 3*o, 0 = -2*o + 3*z + 5072. Is o a prime number? True Let v = 10153 - 4416. Is v composite? False Let v = 30753 - 16302. Is v composite? True Suppose -a = -3*l - 191, 3*a - 319 = 5*l + a. Let w = l - -92. Let o = w + -27. Is o a prime number? True Let f(a) = 223*a - 2. Let x be f(-2). Let b = -297 - x. Let p = 238 - b. Is p prime? False Suppose -2*f - 2902 = -2*u + 4*u, -4*f + 2*u = 5792. Let o = f + 2311. Is o a prime number? False Suppose -6*c = -4*r - c + 5797, -r + 4*c = -1463. Let n = -746 + r. Is n a prime number? False Suppose 3*w = -2*h + 129, 0 = 2*h + w - 105 - 22. Let i = 8 + -10. Let d = h - i. Is d prime? False Suppose 1 + 1 = 2*n. Suppose 5*x - 106 + n = 0. Is x a composite number? True Suppose 2*s + s = 63. Is 8/(-14) - ((-10596)/s + 2) composite? True Let g(p) = p**2 - 11*p + 14. Let l be g(10). Suppose 700 = 4*s + 3*d, l*s - 3*d = -d + 720. Is s a prime number? False Suppose 4*o = -2*c + 32, -c - c + 8 = 0. Suppose 0 = o*l - 4*l - 118. Let x = l + -22. Is x composite? False Let c = -243 + 602. Is c prime? True Suppose 3*m + 3*w = 55614, -m - 14*w = -17*w - 18542. Is m prime? True Let c = -5283 - -12442. Is c a composite number? False Let f = -5 + 0. Let y(i) = -5 + 7*i + 3 + 5*i**2 + 4 + 5. Is y(f) composite? False Let o be (2 + 20/(-2))/(-1). Suppose o = -5*c + 853. Let v = 854 - c. Is v a prime number? False Let c = -51 - -101. Is 180/c + -4 - 13137/(-5) a prime number? False Let w(c) = -2*c**3 - 19*c**2 + 14*c + 8. Is w(-11) composite? True Let f = 16 + -19. Is (1/2)/((1 + f)/(-364)) composite? True Let w be (-52)/(-13)*7/2. Is (w/(-4))/(7/(-4298)) a composite number? True Let k(b) = -2 + 644*b + 609*b + 297*b - 437*b. Is k(1) prime? False Suppose 0 = -5*p - 4*o + 32, -3*p + o = -3*o. Suppose -p*h + 164 + 112 = 0. Is h a prime number? False Let n = 10 - 9. Suppose 3*r = -n + 19. Let k(j) = 18*j - 11. Is k(r) prime? True Let f be (0 - (-351)/3) + 2. Is 141899/f - (-8)/14 prime? True Let v be 3/(4*(-3)/(-12)). Suppose -l = w + 5, 8*w - v*w + 25 = -4*l. Suppose -5*m + 4*d + 225 = 0, 103 = 2*m - l*d + d. Is m a composite number? True Let z(p) = p**2 - 7*p + 8. Let g be z(6). Let b(l) = g*l**2 + 8*l**2 - 8*l - l**3 + 0*l - 7. Is b(6) a prime number? True Let l be ((-718)/(-2))/((-1)/7). Let c = -1044 - l. Is c a composite number? True Let g(c) = 10*c**2 + c + 20. Suppose -4*o - 5*y = -3, y - 8 = o + 4*y. Is g(o) a composite number? True Suppose s + 4*g = 11, 4 = 5*s - 5*g - 1. Suppose -5*i + 31 = s*l - 0*i, -5*i = -4*l - 17. Is ((-1940)/(-8))/(l/4) a prime number? False Let m = -12188 - -22111. Is m a composite number? False Let c = -3 + -30. Let q = c + 33. Suppose q = -0*v - v + 397. Is v a composite number? False Suppose -5 = j, 11*w + 2*j = 7*w + 8242. Is w a prime number? True Let w(j) = 5470*j**3 - 9*j**2 + 11*j - 1. Is w(1) a prime number? True Let z be 6/(-9) - 26*4/24. Is -936*12/(-8) - z prime? True Suppose 2*a + 4*z + 8 = 0, -4*a - 5*z - 8 = 2. Let g = 29 + a. Is (g/(-2))/((-1)/14) prime? False Let t = -89079 + 134834. Is t a prime number? False Suppose 3*g - 39 = 3. Suppose g*j = 10*j + 4328. Is j composite? True Suppose -168 - 5370 = -6*u. Is u a composite number? True Suppose -190781 = 14*t - 737607. Is t a composite number? True Suppose 11 = 4*d - 1. Suppose -a + 209 = d. Is a a composite number? True Suppose 0 = -21*y + 176878 - 19021. Is y prime? True Let u be (-25)/5 - (0 + (-2)/1). Let p(y) = 24*y**2 - 5*y + 4. Is p(u) prime? False Is (1 + 2544/(-30))*-265 composite? True Is -7584*(-39)/6 - (-3)/3 composite? False Let o = 11825 + -5492. Is o composite? True Suppose 4 = -2*d, -5*a - 5*d - 1 + 26 = 0. Let q(r) = 2*r**2 - 7*r - 10. Is q(a) prime? False Let j = -19129 + 28716. Is j a composite number? False Suppose -3*v - 5900 = -h, 0*v - 7884 = 4*v + 3*h. Let t = 3367 + v. Is t a prime number? True Suppose -u - 5*k + 2*k - 2 = 0, -k = 4*u + 19. Let h(s) = -16*s + 3. Is h(u) composite? False Let w(v) = -v**2 - 3*v. Let g be w(-2). Let c = 16 + 20. Is c*1/g - -3 a prime number? False Suppose -116*t = -147*t + 26009. Is t a composite number? False Suppose -3*m = -2*h + 15953, 4*h - 20298 - 11635 = -3*m. Is h prime? False Let q = 1939 - 1316. Is q prime? False Suppose 0 = 46*a - 37*a - 41157. Is a composite? True Let t be 4/(-1 + (-1 - -1)). Let d be t/(-2)*165/2. Suppose g - 2*k = -0*g + d, 0 = -2*g - 4*k + 290. Is g prime? False Suppose -5*k - 1948 = -n, -14*k = -4*n - 19*k + 7917. Is n a prime number? True Let t(f) = 1892*f**2 - 3*f + 11. Is t(-5) a composite number? True Is -40022*((-12)/84)/(4/14) prime? True Let r = 82 + 502. Suppose 0 = 5*u - r - 111. Is u composite? False Let m be (-1)/(4/8*2). Let j(c) = -3*c. Let n be j(m). Is 142 - (-4 + n)/(-1) a prime number? False Suppose -52*v - 2509081 = -69*v. Is v a prime number? False Let g be (-2)/(-3)*3 - -2. Let w = 34 - 29. Suppose -3*m + 2*m - g*k + 409 = 0, 0 = -w*m - k + 2064. Is m prime? False Suppose -3*u + 1337 = -4*n - 4334, 0 = 2*n - 4. Is u composite? True Let g = 64415 + -10212. Is g composite? True Suppose 125924 = -15*l + 19*l. Is l a prime number? True Let w = 6 + -4. Suppose -6 = -5*t + w*t. Suppose -t*o - 2 = 0, 2*h = h + 4*o + 41. Is h a prime number? True Let m(j) = 21*j**2 - 4*j + 91. Is m(-12) a composite number? False Suppose 609 = 7*l + 238. Is l prime? True Suppose 2*u - 3 = i - 2, -5*u + 5 = -2*i. Suppose 0*y - 4*q + 34969 = i*y, -3*y - 5*q = -20971. Is y composite? False Suppose 0*l + l = z + 17712, -2*z = 3*l - 53111. Is l a prime number? True Let v = -83718 - -119447. Is v a composite number? False Suppose -4*w - 9 = 15. Is -1 + 417 + w/(-8)*-4 composite? True Let v be (-12)/28 - 38/(-7). Suppose -4*o - 111 = -3*u - 25, 3*u - v*o - 88 = 0. Let i = 8 + u. Is i a prime number? False Let z(s) = 24*s**2 - 3*s + 4. Suppose 4*m = -3*x - 0*x - 92, 5*m
{ "pile_set_name": "DM Mathematics" }
9. Suppose -1 = 45*m - 136. Suppose -3*f - 11 = 2*w, 0 = 4*w - m*f + 41 - 10. Give s(w). -12 Let q(d) be the first derivative of -3*d + 2*d**2 + 8 - 28 - 7 - 1. Determine q(5). 17 Suppose m - 11 = 0, 2205*w = 2204*w - 5*m + 66. Let n(z) = z**2 - 7*z - 2. Let q(b) = -b + 1. Let x(k) = -n(k) - 5*q(k). Calculate x(w). 8 Let q = -239 - -233. Let z(i) = i**3 + 6*i**2 - 5*i - 2. Calculate z(q). 28 Let p(i) = -60*i + 122. Suppose 2*c - 65 + 29 = -4*z, -3*z + 16 = -4*c. Give p(c). 2 Let u(h) = h - 3. Let b = -121 + 41. Let p = -164 - b. Let c = -91 - p. Give u(c). -10 Let o(b) = -b**3 - 24*b**2 - 3*b - 53. Let d be o(-24). Let q(y) = y**3 - 17*y**2 - 40*y + 40. Let l be q(d). Let f(h) = -h**3 + h**2 - 2. Calculate f(l). -6 Suppose -3 = u - 0. Let k(o) = 8*o + 465. Let m be k(-58). Let h(v) = -9*v - 5. Let x(c) = -2*c - 1. Let n(q) = m*h(q) - 6*x(q). Calculate n(u). -8 Let t(r) be the third derivative of -r**6/360 - 7*r**5/120 + 3*r**4/8 - 33*r**3/2 - 2*r**2 + r. Let j(p) be the first derivative of t(p). What is j(-8)? 1 Let i(l) = -14*l - 3. Let w(h) = -3*h**2 + 2*h + 37. Let v(q) = -q**2. Let y(a) = 2*v(a) - w(a). Let g be y(-5). Give i(g). 25 Let c(p) = p**3 - 4*p**2 + 5*p - 3. Let o be c(3). Let m = 1 - o. Let g(h) = -33 - 46*h + 65 + 17*h - 34 + 25*h. Give g(m). 6 Suppose 9*b = 6*b - 3*i + 9, -i + 3 = -4*b. Suppose 3*w + 6 = 12. Let v(o) = -o - w*o + 6 - 2*o + 6*o. What is v(b)? 6 Let q(i) be the second derivative of -i**6/120 - i**5/12 - i**4/12 + i**3/2 - 133*i**2/2 + 217*i. Let z(y) be the first derivative of q(y). Give z(-4). -5 Let a(g) = 7*g**3 - 4*g**2 - 3*g + 30. Let u(j) = -8*j**3 + 4*j**2 + 2*j - 35. Let m(c) = -6*a(c) - 5*u(c). Calculate m(4). -37 Suppose 10*w - 3*z + 72 = 15*w, 0 = -12*w + 3*z + 234. Let m(b) = 3*b - 67. Give m(w). -13 Let p = -177 - -179. Let a(x) = 14 + 103*x**2 - 2*x + 111*x**2 - 225*x**p + x**3. Suppose -5*z - 59 = -4*o, -5*z = 4*o - z - 32. Give a(o). -8 Let r(k) be the first derivative of -k**3/3 + 4*k**2 - k + 1. Suppose -3*y - 28 = -6*y + s, 4*y = -3*s + 33. What is r(y)? -10 Suppose 0 = 273*t - 235*t + 114. Let w(y) = -y**3 - 5*y**2 - 5*y - 10. What is w(t)? -13 Let h = -6 - -13. Suppose 0*p + 735 = h*p. Let q(j) = 2 + 13 - 106*j + p*j. What is q(0)? 15 Let x(h) = h**3 + 5*h**2 - 5*h + 5. Suppose -21*f - 41 - 37 = 48. Determine x(f). -1 Let z(c) = 55*c + 13. Let p = -716 + 1097. Let h(o) = -p*o - 3 + 1 + 372*o. Let j(y) = 39*h(y) + 6*z(y). What is j(-1)? 21 Let d be ((-12720)/(-300))/((-2)/(-5)). Suppose 72 = -d*i + 114*i. Let v(j) = -j + 7. Calculate v(i). -2 Let x(m) = -4*m + 3. Let t(p) = 21*p - 44. Let d(w) = t(w) + 5*x(w). Calculate d(19). -10 Let b be 3 - (2 - 1)*0. Let u(s) = -2*s**3 + 2*s**2 + 2*s - 1. Let y(h) = -7*h**3 + 5*h**2 + 5*h - 3. Let n(f) = 4*u(f) - y(f). What is n(b)? 8 Let i(t) = 188. Let x(j) = -2*j + 379. Let s(w) = 7*i(w) - 3*x(w). Give s(-29). 5 Let c = 9 + -4. Suppose 0 = -2163*q + 2203*q - 280. Let d(x) = 6*x - q*x + 2 - c + 2. Determine d(6). -7 Let f(w) = -w**3 - 25310*w**2 + 12665*w**2 - 4*w + 1 + 12646*w**2 + 5*w. Let c be -2 - -1 - (0 - 3). Give f(c). -1 Let t(x) = -x**3 - 5*x**2 - 2*x - 4. Let s be t(-5). Let m(r) = -12 - 2 + 13 + s*r. Determine m(-5). -31 Let i(s) = 11*s + 132. Let b be i(-12). Let t(f) be the second derivative of -3*f**2 + 1/6*f**3 + b - 19*f. Give t(6). 0 Let u(k) = 2 - 2*k + 3*k - 2*k**2 + 48 - 19. Let f be u(4). Let y(j) = -j**2 + 4*j - 2. Give y(f). 1 Let j(c) = -5*c**3 + 7*c**2 + 17*c - 36. Let d(x) = 2*x**3 + 2*x**2 - x - 3. Let s(u) = 2*d(u) + j(u). Calculate s(12). -6 Let o = -618 + 621. Suppose 18 = 2*p - 2*s, o*p - 45 = -2*s - 23. Let n(k) = -2*k**2 + 10*k + 6. Give n(p). -42 Suppose -3*y + 230 = 5*k, 4*k + 7*y = 4*y + 181. Suppose 2*a + k*p - 50*p = 13, -2*a - 4*p = 12. Let t(c) = c**3 - 3*c**2 - 3*c - 1. Determine t(a). 3 Let p(t) = t**2 + 3*t - 7. Let y = 418 + -284. Let r = 128 - y. Give p(r). 11 Let z(h) = 3*h**2 - 19*h + 6. Suppose -19*f + 47*f - 168 = 0. Give z(f). 0 Suppose 11*p - 26 + 4 = 0. Suppose k - 2 = p*b + 1, -4*k = -b + 16. Let v(r) = r**3 + 5*r**2 + 3*r - 5. Calculate v(b). -1 Let y(o) = o**3 - 11*o + 3*o**2 + 5*o**2 - o**2 + 7 - 15*o + 34*o. What is y(-5)? 17 Suppose -4*p + 8 = k, -13*p + 10*p = -4*k - 25. Let a = -5 - -9. Let s(z) = -50 + a*z - 3*z**3 + 4*z**2 + 52 + 2*z**3 - 7*z. What is s(p)? 2 Let k = 1855 - 1849. Let c(a) = a**2 - 10*a - 9. Give c(k). -33 Let u(t) be the second derivative of t**5/20 + t**4/6 - 2*t**3 + 15*t**2/2 - 4526*t. Give u(-5). 0 Let u(d) = d + 1. Let g be u(4). Let b be 23/(115/30)*3. Let j(q) = -b + q**2 + 30 - 18 + g*q. What is j(-7)? 8 Let k(v) = 4*v + 29 + 44 + 37 - 2*v + 7*v. Give k(-14). -16 Let p(d) = 83*d**3 - 19*d**2 + 107*d + 12. Let k(g) = -15*g**3 + 4*g**2 - 21*g - 3. Let x(l) = -11*k(l) - 2*p(l). Determine x(-8). 1 Let k = 237 - 157. Suppose -100 = -k*n + 70*n. Let c(j) = j**2 - 9*j - 9. Determine c(n). 1 Let s(u) = 2*u**3 - 21*u**2 + 11*u - 7. Let k be s(10). Let t(b) = -2*b + 6*b + 195*b**k - 196*b**3 - 6*b**2 + 3*b**2. Calculate t(-4). 0 Let r(x) = 7*x - 25. Let s be r(3). Let q be 1/((s/6)/(10/(-15))). Let z(f) = 17*f - 10. Let p be z(q). Let m(u) = u**2 - 7*u + 5. Give m(p). 5 Let g(p) be the first derivative of p**3/3 + 19*p**2/2 + 37*p - 1420. Determine g(-17). 3 Let d be ((-156)/104)/(1/(-220)). Let b = d - 333. Let k(p) = 3*p + 10. Determine k(b). 1 Let a(r) = 30*r + 1298. Let p be a(-45). Let w(m) = m**2 + 42*m - 527. Give w(p). -7 Let i = -563 - -596. Suppose 56*t - i*t = 115. Let r(f) = f - 3. Give r(t). 2 Let m(c) = -c**3 - 10*c**2 - 6*c - 8. Let j = -131 + 122. Give m(j). -35 Let j(l) be the third derivative of -l**5/60 - 7*l**4/24 + l**3 - 2*l**2. Let n(s) = 8*s - 55. Let r = -259 + 265. Let x be n(r). Give j(x). 6 Let b(z) be the second derivative of -z**5/20 + 2*z**3/3 - z**2/2 - 15328*z. Let g = 4 + 2. Let w = g + -9. What is b(w)? 14 Let t(n) = -2*n - 12. Let b be ((-91)/65)/((-11)/5 - -2). Let u(p) = p**2 - 11*p + 20. Let a be u(b). What is t(a)? 4 Let o(l) be the first derivative of -l + 1/2*l**2 + 56. Suppose -3*u + 18 = -0*u. What is o(u)? 5 Let j(s) be the first derivative of s**5/120 + s**4/6 - 140*s**3 + 6. Let o(q) be the third derivative of j(q). Suppose 0 = -4*h + 2*h - 6. Calculate o(h). 1 Let i(q) be the first derivative of 4*q**3/3 + 119*q**2/2 - 31*q - 2664. What is i(-30)? -1 Let k be (35 - -4)*(-3)/(-4 + 1). Suppose -k*x = 105 + 285. Let i(p) = -p**3 - 9*p**2 + 10*p + 8. Give i(x). 8 Let o be (-6)/(-1) - (1485/15)/33. Let s(f) be the second derivative of -1/6*f**o + 19/2*f**2 + 14*f + 0. Give s(0). 19 Let y(o) = -3*o + 11 - 20*o**2 + 1 + 0*o**2 - 7 - 3. Give y(1). -21 Let p(w) be the second derivative of -w**4/12 + 2*w**3 - 4*w**2 + w. Let b(s) = -s**3 + 37*s**2 + 35*s + 126. Let k be b(38). Give p(k). -8 Let t(r) = 6 + 6*r**2 + 41331*r - 82673*r + 41336*r. What is t(2)? 18 Let l be (-10 - (-6 - -6)) + 41/(-1). Let p(m) = 6*m + 305. What is p(l)? -1 Let p(j) be the first derivative of 56 - 4*j + 57 - 3*j**2 + 2*j**2 - 5. Let o = 4 - 8. Give p(o). 4 Let t(b) = -23 + 150190*b + 15 - 150189*b. Let p = 22 + -10. Determine t(p). 4 Let w(c) = -3*c + 7. Let o(m) = -2*m + 4. Let b(s) = 5*o(s) - 3*w(s). Let t(k) = 25*k**3 + 3*k**2 - 3*k + 1. Let u be t(1). Let g = u - 29. Determine b(g). 2 Let j(k) = -k**2 - k - 2. Let l(h) = -828*h - 8286. Let w be l(-10). What is j(w)? -32 Let f be 3/((27/(-33))/(-3)). Let z(c) = -8 + 1 - 2*c + 17 - 5. Give z(f). -17 Let o(d) = 36*d**2 - 55*d - 16. Let k(g) = -151*g**2 + 221*g + 65. Let m(s) = 6*k(s) + 25*o(s). Give m(-8). -2 Let c(w) = 829*w**2 - 828*w**2 - 3 + 12 - 3*w - 7. Determine c(-3). 20 Let f be (3/(-8)*2)/((-10)/40). Let z(d) = 6 - 13 - f*d + 4*d. Calculate z(5). -2 Let w(q) be the first derivative of 4/3*q**3 + 1/4*q**4 - 3*q - 3/2*q**2 - 7. Calculate w(-4). 9 Let a(z) = 9*z**2 - 6*z + 4. Let l = -7566 - -7567. What is a(l)? 7 Suppose -6*h + 8*h - 32 = -3*w, 3*h + 5*w = 50. Let q(d) = d**3 - 9*d**2 - 13*d + 28. Determine q(h). -2 Let h(m) = -m**2 + 863*m + 4314. Let q be h(-5). Let x(v) = -v**2 - 28*v - 49. Give x(q). 3 Let i(w) be the third derivative of w**5/20 - 83*w**3/6 + 17*w**2 + 2*w. Let r(n) be the first derivative of i(n). What is r(-4)? -24 Let y(i) = -11*i. Let d be 1 + (-5)/2 - (-1312)/(-64). Let p
{ "pile_set_name": "DM Mathematics" }
-1)/4)/(85/(-36700)). Let x = u - 108. Let z be 1 + 0 + (2 - 2). Is z > x? True Let h = 35 + -47. Are -12 and h nonequal? False Let q be 54/3 + 7 + -5. Let a = q - 99/5. Is a <= -0.2? False Let c = 917 + -1830. Is -913 bigger than c? False Suppose -16 = -0*c - c. Suppose v + 5*n = -c, v - 5*n = -0*v + 14. Let x = -1902/5 - -380. Which is greater: v or x? x Suppose -x = -5 + 3. Suppose 2*p = -0*p + 616. Let o be 4/(-14) + 319/p. Which is smaller: x or o? o Let d = 0.142 + -0.13. Which is smaller: d or -0.3? -0.3 Suppose 2*h = 3*k + 19, -4*h - 52 = -3*k + 7*k. Let x be 52/(-6) - 2/6. Do x and k have different values? False Suppose -17 = 6*t - 41. Which is smaller: t or 6? t Let i = 4/7 - 5/7. Let z = -3 - -16. Let m = z - 9. Is m bigger than i? True Let b be (-39)/(-3) - (-36)/((-3)/1). Let n(j) = -j - 7. Let u be n(-5). Let p be (u/(-4))/((-11)/(-3)). Which is bigger: p or b? b Let c be -1 + 1 + -2 - 1630/(-75). Let f = 13069/660 - c. Which is smaller: f or 1? f Suppose -h - 7 = -0*u + u, 5*h + 2*u = -23. Let d(q) = -q**2 - 8*q - 8. Let f be d(-6). Let m be 92/(-36) + h + f. Which is smaller: -2 or m? -2 Suppose 2 = 41*m - 45*m - 2*v, -5*m + 5*v + 20 = 0. Is -22 at most as big as m? True Let c = 7 - 8. Let q = 3 - c. Let d be 3 - (q - 4/(-28)). Which is bigger: d or 0? 0 Let q = -458 - -567. Which is smaller: 108 or q? 108 Let j = -387 - -585. Which is bigger: 199 or j? 199 Suppose 5 = -7*z + 19. Suppose -z*u + 5*u = -138. Is u <= -46? True Let x be (1 + -2)/((-6)/30). Suppose -11*d = -x*d + 3*d. Which is greater: -1/13 or d? d Let h(r) = 21*r**3 + 4*r**2 - 2*r - 7. Let s be h(-2). Do s and -155 have the same value? True Let p = 33 - 50. Let l be p - (2 + (-12)/4). Which is smaller: -17 or l? -17 Suppose 4*j = -20 + 104. Let d be (j*8/30)/(-23). Let i = -1/23 - d. Which is bigger: 0 or i? i Suppose -80 = 3*j + 127. Let z = -58 - j. Is z >= 43/4? True Suppose -4*i - 12 = -28. Suppose -i*c = 4 - 0. Let z = 0.7 + -0.62. Is c greater than z? False Suppose -25 = -5*l, v + 3*l = -l + 19. Let f = 4633/19 + -244. Is v at least as big as f? False Let h = -8 + 22. Suppose 4*u + 30 = -h. Let z be (-10)/(-8)*(u + 7). Which is greater: z or -4? -4 Let i = -9830/7 + 1405. Does 1 = i? False Suppose -21 + 8 = -13*p. Let m be (-25)/25*(p - 9*-1). Is m at least -0.1? False Let g = 1 - 2. Let f = -7.94 - -0.34. Let q = -0.4 + f. Are g and q unequal? True Suppose 4*w - 3318 + 3310 = 0. Let m be ((-1)/(-10))/(2/16). Is w at least m? True Let o(k) = 5 + 11*k + 0*k**2 + 4 - 2*k + k**2. Let n be o(-8). Which is greater: -2/361 or n? n Suppose -5*j + 13 = -4*j. Suppose -5*a = 8 - j. Let k be 3/24*-6 + a. Which is smaller: k or -6? -6 Let s be (1 - 3/2)*-4. Let t be (-25)/(-10)*12/s. Do t and 17 have the same value? False Let o be (-2)/(-8) - 40/(-352). Let g(y) = -74*y + 888. Let l be g(12). Which is smaller: l or o? l Let h = 4718 - 28189/6. Do 20 and h have different values? True Let j be 0 + 4 - 216188/(-378). Let y = -576 + j. Which is bigger: 1 or y? 1 Let s(d) = -2*d - 31. Let b be s(7). Let y = b - -42. Is -3 at most as big as y? True Let c = 942 + -120575/128. Which is smaller: c or 1? c Let i = -5/18 - -47/234. Which is bigger: i or 1/2? 1/2 Let q = 812/17 + -73079/1530. Is q != 1? True Let a = 17.1 - 12.4. Which is bigger: a or 0? a Let w be (-45)/5*(-8)/36. Let h be (-14)/(-65) + 2/5. Which is greater: h or w? w Let k(r) = 2*r**2 + 15*r + 7. Let j be k(-7). Let y = -7 + 3. Which is smaller: j or y? y Suppose 10 = -2*v, -10*v + 26 = -x - 15*v. Which is smaller: x or -8/15? x Suppose 42 = -9*f + 249. Let w = 7.2 - 1.2. Let v = 5 - w. Which is smaller: v or f? v Let v = -18 + 2. Let q = v - -7. Let f = q - -7. Which is smaller: f or 0.1? f Let t be (-11 - -12)/(2/(-4)) - -36. Let y = -35 + t. Is -2/217 greater than y? True Let z(t) = t - 3. Let k be z(0). Let s(h) = -h**3 - h**2 + 4*h - 5. Let v be s(k). Does 2 = v? False Let q be 20/(69160/(-4017)) - 4/14. Which is smaller: q or -1? q Let d(q) = -q**3 - 4*q**2 + 2*q - 5. Let y be d(-3). Let x be (4/(-6))/(y/(-15)). Which is greater: x or -9? x Let f(o) = o**2 - 40*o - 328. Let j be f(47). Which is bigger: -1/105 or j? j Let l(j) = j**3 - 3*j**2 - 3*j - 3. Let r be l(4). Which is smaller: 2/139 or r? 2/139 Suppose 5*t - 20 = 0, -2*h + 2*t + 12 = 3*t. Let p(k) = 0*k + k + h + 0*k - 8. Let q be p(3). Which is smaller: q or 1/3? q Suppose -i = -2*i - 4*s + 10, -3*i + 10 = 2*s. Suppose 2*h - 2 = -d - 5, -i*d = 2*h + 6. Is d at least as big as 3? False Let b = 205 + -182. Suppose 4*f + 24 = 5*f. Are f and b non-equal? True Let s = -99193 + 4363867/44. Let f = -5685/4 - -1407. Let p = f - s. Is 0 at least p? True Let b(z) = z**2 - 13*z + 17. Let d be b(12). Suppose 0 = 5*m - 2*r + d*r - 108, 5*m = -4*r + 109. Suppose c + 6 + 8 = 3*u, 5*u - m = 4*c. Is -4/9 > c? False Let n be (170/(-40))/(10/(-120)). Are n and -5 non-equal? True Let j(k) = -k**3 + 3*k**2 + 5*k - 4. Let b be j(4). Suppose -2*x - 18 = 2*x - m, b = -5*m - 10. Let u be (-4 - x) + -1*1. Is -4/9 at most u? True Let v(j) = -2*j**2 - 6*j - 6. Suppose -5*f - 5 = 6*u - u, f = -5*u + 3. Let s be v(f). Does -2 = s? True Let f(g) = 2*g - 14 + g + g - 3*g. Let p(q) = 4*q**2 + 5*q + 4. Let l be p(-2). Let w be f(l). Is -2 equal to w? False Let r(x) = x**3 - 2*x**2 + 3*x - 2. Let m be r(-3). Let h be ((-2)/(-8))/((-133)/m). Which is greater: h or 1? 1 Suppose -49 + 19 = 30*j. Which is bigger: 0 or j? 0 Suppose 0 = -3*g - 5 - 1. Let o be g/(-7) + 185/(-35). Let v be 16/(-20) + (-2)/o. Which is greater: v or 0? 0 Let s = 2/23679 - -12810329/118395. Does 107 = s? False Suppose p - 6 = 5*y - 18, 20 = 5*y - 5*p. Suppose 0 = 4*s - 2*j, y*s - j + 4 = 2*j. Which is smaller: 2 or s? s Let h = -0.14 + 0.19. Suppose 3*r - 357 = -4*r. Let i = -151/3 + r. Which is smaller: i or h? h Suppose 5*g = 4*y + 33 + 351, -2*y - 2 = 0. Let j be g/(-42)*1/(-2)*-6. Does j = -6? False Let d be 2 + 8/(-1 - 3). Are d and -0.9 nonequal? True Suppose 5*o = 3*o + 6. Suppose -5*d - 7 = o. Let m be (d + 5)/(27/(-18)). Is -5 >= m? False Let o be (-2)/(-62)*(-4)/(-8). Do 0 and o have the same value? False Let s = -2.41 + 0.01. Let g = s - -4. Let h = 1.7 - g. Which is smaller: h or 3/2? h Let d = 8.91 - 8.61. Is d less than or equal to 1? True Let y = -201 - -444. Is 1 bigger than y? False Let w(v) = 2*v**2 - 83*v - 18. Let y be w(39). Is y bigger than -212? False Let z be (-1)/(-4) - 6/40. Let n = 270 + -231.2. Let u = 39 - n. Which is smaller: z or u? z Let y be -6 + 394 + 8 + -7. Which is smaller: y or 388? 388 Suppose -l + 790 = 2*n, -2*l + 765 = -2*n - 809. Is l != 787? True Let h = -7 - -7. Suppose h = -g - 4*g - 20, -f - 5*g = 24. Let n(z) = z**3 + 4*z**2 - z - 3. Let o be n(f). Which is smaller: o or 0.5? 0.5 Let p(n) = -n**3 - 17*n**2 - 7*n + 13. Let l(a) = -a**3 - 16*a**2 - 8*a + 14. Let r(v) = -4*l(v) + 3*p(v). Let t be r(-12). Is t < -17/4? True Let f = -781 + 785.9. Which is bigger: f or 2/9? f Let g = 17 + -17. Suppose g = -5*b - 34 + 14. Let q be 1/b*1/4. Is q less than or equal to 1? True Let a(t) = 4 + 2*t + 0 - 1 + 1. Let p be a(-5). Let r be 22/(-20) + 7 + p. Is r less than or equal to -1? False Let c be (-14)/((-126)/27) + 240. Is 242 <= c? True Let g be (-3965)/295 + 11 + 2. Which is greater: g or 0? 0 Let y = 10 - 12. Let i be 10/35*(y - (-2)/(-4)). Is -2 equal to i? False Let s be (-653)/(-1155) - (-18)/(-30). Which is bigger: 1 or s? 1 Let w(y) = 39*y**2 - 23*y - 95. Let s be w(-4). Which is smaller: s or -1? -1 Suppose -37*o - 6516 = -46*o. Which is greater: 725 or o? 725 Let h = -91 + 49. Let n be (-20)/(-70) + (-128)/h. Which is smaller: n or 4? n Suppose 13*w - 10*w = 123. Is w not equal to 41? False Let c(u) = -u + 8. Let m be c(12). Do m and -108/31 have the same value? False Let d(z) = -z + 2*z + 4*z. Let v be d(-2). Is v smaller than -10? False Let n be 7/(-2) + -1253*(-24)/8400. Let s = -1 + 1. Do n and s have different values? True Suppose 4*o - 33 = 2*o + 5*q, -5 = q. Let g be 36/126*7/o. Which is smaller: 12/11 or g? g Let q = 59996/229 + -262. Is q at least as big as -2? True Let h = 21 + -20.9. Which is smaller: 21 or h? h Suppose 12 = 3*k - 3*l, -k + 5*l = -4*k + 12. Suppose o = k*o - 6. Suppose -a = 4*x - 11, o*x = -3*a + a + 4. Which is smaller: a or -2?
{ "pile_set_name": "DM Mathematics" }
ber? True Let i(j) = -5*j**3. Let n be i(-1). Suppose 5*h - 2*c = 707, -h = -n*h - 3*c + 584. Is h composite? True Let a = 7 - 12. Is -3*17*a/3 composite? True Let i(j) = 5*j**2 + 22*j - 7. Is i(-12) prime? True Suppose 3*a + 2868 = 4*r + a, -3584 = -5*r + 3*a. Suppose -2*w - 10 = 0, -w = 4*i - 3*w - r. Is i prime? False Suppose 3*i - 4255 = -2*i. Is i a prime number? False Suppose -5*i + y + 3 = 0, -7*i = -3*i - y - 2. Is (-490)/(-4) + i/2 prime? False Suppose 3*j + 7814 = 5*t, 2*t + t - 2*j = 4689. Is t a composite number? True Let d = -14 + 309. Is d a composite number? True Let g be (12/5)/((-2)/(-25)). Suppose -7*s + 2*s + g = 0. Suppose 2*b + s = -5*l + 15, -4*l - 11 = -b. Is b a prime number? True Let h(j) = j**3 + 2*j**2 - 5*j - 2. Let d be h(-3). Suppose m + 10 = -5*p, -m - d*p = -6*m + 37. Suppose -5*a - 207 = -4*n, -m*n = -a - 16 - 248. Is n prime? True Let d(q) = 2*q**3 - 11*q**2 + 16*q + 10. Is d(8) prime? False Let w(i) = -1029*i + 8. Is w(-5) composite? False Suppose 6*o - 209 = -2*l + 3*o, 480 = 5*l - o. Is l a composite number? False Suppose 24 = -2*y + 2*j, 3*j + 31 = -4*y - 24. Let z = y - -198. Is z a composite number? True Suppose 4*l - 147 = -4*u + 81, 281 = 5*u + 4*l. Is u a composite number? False Is ((-12)/42 - 1154/28)*-2 a composite number? False Let v(n) = -5*n**3 + 6*n**2 + 14*n + 17. Is v(-6) a composite number? False Is (273 - 2 - 0) + 3 composite? True Let d(m) = -m + 3. Let s be d(-3). Let t = -14 + s. Is 801/12 - 2/t prime? True Is 2 + 1 - 1106/(-7) prime? False Let o(j) = j**2 + 3*j - 1. Let r be o(-3). Let k = 1 + -1. Is (-2 - 19)/r + k a prime number? False Let w = -4 - -8. Suppose w*c + 8 = 0, 382 = 5*t - c - 795. Is t composite? True Let l = 318 + -169. Is l a prime number? True Let x = -43 + 752. Is x a prime number? True Suppose 0 = -4*n + 6850 + 5962. Is n a composite number? False Let w = 3703 + -2045. Is w composite? True Let r = 148 + -71. Is r prime? False Let q(u) = 120*u**2 + 2*u - 1. Let v be q(-2). Let d = v - 218. Is d composite? False Let s = 19 - -50. Is s composite? True Let v(d) = 10*d**3 - 4*d**2 - 3*d - 2. Let f be v(-4). Let h = -477 - f. Is h prime? False Let h(b) = -b**2 + 3*b. Let q be h(3). Suppose 0 = -q*u + 2*u - 10. Suppose -m + 3 = -3*r + 70, -3*r = u*m - 43. Is r a composite number? True Let p(y) be the second derivative of 23*y**4/12 - y**3/3 + y**2/2 + 2*y. Let k be p(1). Suppose 0 = -0*w + 2*w - k. Is w composite? False Suppose -2*y = -3*y - 5*v + 4086, -3*v = -2*y + 8237. Is y prime? True Let z(r) be the third derivative of r**5/60 + r**4/6 - 2*r**2. Let a be 2/(-1 + (-5)/(-3)). Is z(a) a composite number? True Suppose h - 71 = -3*h + n, 4*h - 80 = 4*n. Let b = 9 + h. Is b composite? True Suppose g - 5*v = 12, -v - 4 = -0*g - g. Is (1 + 370)*(g - 1) a composite number? True Suppose c + 3*c - 7690 = -3*o, -5*o + 10 = 0. Is c a prime number? False Suppose 22 = j - u, j + 26 = 2*j - 2*u. Suppose 0 = 2*a - 140 - j. Is a prime? True Let l(h) = 4*h**2 + 5*h + 8. Let i be l(9). Let g = i + -103. Is g a prime number? False Suppose 0 = 5*q + 5*b + 180 - 430, q = 5*b + 26. Is q a composite number? True Suppose 2*x + 5*f = -13, 4*x = -0*f - 2*f + 14. Suppose -41 = 3*j - 254. Suppose t + 5*c = -x, 10*t - j = 6*t - c. Is t a prime number? True Let h(d) = 7*d**3 + 20*d**2 + 23*d - 2. Let x(p) = 11*p**3 + 30*p**2 + 35*p - 3. Let r(u) = -8*h(u) + 5*x(u). Let v be r(-9). Is v - -232 - (-1 - 1) prime? False Suppose 2*y = 3*b - 4, -2*y = 2*b + y - 7. Suppose 0 = -b*s + 4*c + 294, c + 3*c = -4. Suppose -4*m + w + s = 0, -4*m - 3*w = -0*w - 125. Is m a prime number? False Suppose -4*j + 3*q = -20, -2*q - 2 = 5*j + q. Suppose t - d - 75 = 0, 260 = 2*t + j*t + 4*d. Let x = -3 + t. Is x prime? True Suppose -3*j + 3871 = -4*t, 3*t = -2*j + 8*t + 2576. Is j a composite number? True Let u(l) = 29*l - 3. Is u(2) composite? True Is (-7)/((-140)/4168)*10/4 composite? False Suppose 3 + 1 = 2*d. Suppose -d*w + 4*w = 0. Suppose 0 = -5*o + 5*g + 250, w = -2*o + o - 3*g + 54. Is o a prime number? False Let f(x) = x**2 + 12*x. Is f(-17) a composite number? True Suppose -2*i + 250 = -m, 2*i - i - 135 = -2*m. Is i composite? False Suppose -2*u - 65 = -u. Let w = u - -112. Is w composite? False Let t be (20/(-12))/(2/18). Let n = t - -26. Is n a prime number? True Suppose -3*b = 2 + 4. Let i = 54 - 56. Is 290*(b/i)/2 prime? False Let d(r) = r + 62. Let i be d(0). Let z = i + -27. Is z prime? False Let j = 20 + -14. Suppose -4*n - 6 - j = 0. Is -2 - (183/n)/1 prime? True Suppose 63 = 2*h - h. Suppose 0 = -4*q + h + 93. Suppose 5*d = 144 - q. Is d prime? False Suppose -116*r + 121*r = 11945. Is r prime? True Let x be -3*856/(-4) + 3. Suppose -j - 2*j + x = 0. Is j a prime number? False Let r = -4 - -5. Is (288 - -2) + 2 + r a composite number? False Suppose i = -0*i + 1. Let f be (-90)/(-8) + i/(-4). Suppose f = 3*k - 1. Is k a composite number? True Let w(z) = 2*z**2 - 9*z - 10. Is w(-9) composite? False Let m(n) = n**2 - 2. Let g be m(-2). Suppose g*t - 451 = -9. Is t prime? False Let q(i) be the first derivative of -3*i**2/2 + i - 4. Let d be q(3). Let t(n) = -15*n + 7. Is t(d) composite? False Let h = -2 + -5. Let g = -4 - h. Suppose 3*b = -3, 0 = -2*m - g*b + 7*b + 74. Is m prime? False Let x(f) = 11*f + 11. Is x(6) a composite number? True Let c be (-93)/12 - (-2)/(-8). Is c/12 - 483/(-9) a composite number? False Suppose -10*h + 30835 = -34755. Is h a composite number? True Suppose 0*z = 3*z - 57. Suppose -a + 0*a + z = 0. Is a composite? False Let s(j) = 165*j**2 - j + 1. Let r be s(1). Suppose 4*y = y + r. Suppose 5*b - 15 = y. Is b a composite number? True Let n(b) = -b**3 - 2*b + 469. Is n(0) composite? True Let p be (-33)/(-7) + (-8)/(-28). Suppose -3*u = 3*m - 1107, 0 = 4*u + p*m - 174 - 1306. Is u composite? True Let f(s) = s**3 - 8*s**2 + 4*s + 8. Let i be f(7). Let d = 1 - i. Is d prime? False Suppose -3*y - a + 3*a - 4 = 0, 3*y + a = 2. Suppose -4*n + 148 = -y*n. Is n composite? False Let u be (-1)/(-4) + (-2)/8. Is u - 1 - -13 - -2 prime? False Let h be (-9)/12*(1 - -7). Let g be 2*h + (-2 - -4). Is (g*1)/(4/(-14)) a composite number? True Let c be 1/4 - 20/16. Let y(h) = 116*h**2 - 1. Let a be y(c). Suppose -a = -3*m + 4*j, -2*m - 4*j = -15 - 55. Is m a prime number? True Let l = 9 - 15. Let h be (105/l)/5*-2. Suppose 4*x = h*x - 9. Is x composite? False Suppose 0 = 3*o - b - 376, -2*b - 139 - 105 = -2*o. Is o a composite number? False Is (-5264)/(-20) - 1/5 a prime number? True Let j be 12/(-16) + (-21)/(-12). Is 5*(29 + 1 + j) a composite number? True Suppose m - 5 = 0, 2*m = -5*s - 0*m + 8745. Let u = -1010 + s. Is u a composite number? True Let z = 6 - 4. Suppose -20 = -z*w + 12. Let t = w + 21. Is t a composite number? False Let t(g) = g**3 - 6*g**2 - 4*g - 2. Is t(8) prime? False Suppose 3*a + 0*a = 45. Suppose r = -4*k + 9, -5*k + a = -0*k + 5*r. Suppose k*b = -j + 151, 473 = 3*j + 2*b - 6*b. Is j a composite number? True Let d(q) = 109*q - 4. Is d(5) composite? False Suppose 0*g = g - 5. Suppose -5*z + 2*h + 171 = 0, 5*h - 78 - 107 = -g*z. Is z a prime number? False Let a(k) = k - 2. Let n be a(2). Let g = n + 22. Is g prime? False Let b(m) = 169*m**3 + 3*m**2 + 2*m - 7. Is b(2) prime? True Let a(j) = j**2 - j + 2. Let t(q) = q**3 + 2*q**2 + 2*q + 1. Let h be t(-1). Is a(h) a prime number? True Let d(q) be the second derivative of q**5/20 + 7*q**4/6 + 5*q**3/6 + q**2 - 3*q. Is d(-13) composite? True Let a(s) = s**3 + 9*s**2 + 3*s + 7. Let f(c) = c - 7. Let l be f(5). Let t(d) = -2*d**2 - 2*d - 2. Let i be t(l). Is a(i) prime? True Suppose -480 = -x + 314. Is x a composite number? True Is (231 - -2) + 2/1 prime? False Suppose -3*y = -2*x + 3074, 2*x - 4613 = -x + 4*y. Is x a prime number? True Let t(b) = -4*b + 2*b**2 - 4*b + b**3 - 4*b**2 + b - 5. Is t(6) a prime number? True Suppose 4*m - 1 = -13. Let q be 1/m + (-16)/(-3). Suppose -u + 112 = 2*y + y, -180 = -5*y - q*u. Is y a composite number? True Suppose -15*g = -20*g + 605. Is g prime? False Let l = -86 + 165. Is l a prime number? True Let q be -3*(-15)/9 - 0. Let g(t) = 11*t - 4. Is g(q) composite? True Let s(w) = -102*w + 2. Let u be s(5). Is (u/(-6))/((-2)/(-3)) prime? True Let k = -148 - -87. Let l = -23 - k. Is l a composi
{ "pile_set_name": "DM Mathematics" }
10 What is the u'th term of -10114, -20136, -30158, -40180? -10022*u - 92 What is the v'th term of 2426, 4848, 7268, 9686, 12102, 14516, 16928? -v**2 + 2425*v + 2 What is the a'th term of 65231, 65238, 65247, 65258, 65271, 65286, 65303? a**2 + 4*a + 65226 What is the k'th term of 1025, 1180, 1335, 1490, 1645? 155*k + 870 What is the x'th term of 20289, 20287, 20283, 20277, 20269, 20259? -x**2 + x + 20289 What is the f'th term of 26143, 52238, 78333, 104428, 130523? 26095*f + 48 What is the a'th term of 51612, 206430, 464460, 825702, 1290156, 1857822? 51606*a**2 + 6 What is the t'th term of -39, -203, -475, -855, -1343, -1939, -2643? -54*t**2 - 2*t + 17 What is the a'th term of -134, -240, -318, -368? 14*a**2 - 148*a What is the f'th term of -174, -228, -282, -336, -390? -54*f - 120 What is the h'th term of -167, -334, -493, -638, -763, -862, -929? h**3 - 2*h**2 - 168*h + 2 What is the k'th term of 112, 708, 1710, 3112, 4908, 7092, 9658? -k**3 + 209*k**2 - 24*k - 72 What is the d'th term of 4027, 4099, 4301, 4699, 5359? 11*d**3 - d**2 - 2*d + 4019 What is the b'th term of -11694, -23378, -35066, -46758, -58454, -70154, -81858? -2*b**2 - 11678*b - 14 What is the x'th term of 388, 646, 906, 1168, 1432? x**2 + 255*x + 132 What is the m'th term of -58, -40, -22? 18*m - 76 What is the n'th term of 392, 647, 904, 1163, 1424, 1687, 1952? n**2 + 252*n + 139 What is the i'th term of 234, 228, 222, 216, 210, 204? -6*i + 240 What is the l'th term of 755, 759, 753, 731, 687, 615, 509, 363? -l**3 + l**2 + 8*l + 747 What is the y'th term of -1997, -2013, -2029, -2045? -16*y - 1981 What is the s'th term of 1889, 3778, 5667, 7556, 9445, 11334? 1889*s What is the f'th term of -100038, -100039, -100040? -f - 100037 What is the t'th term of 46760, 46716, 46672, 46628? -44*t + 46804 What is the n'th term of 5812, 5774, 5736, 5698? -38*n + 5850 What is the a'th term of -4042, -3980, -3918? 62*a - 4104 What is the y'th term of 1340, 1303, 1236, 1133, 988, 795, 548, 241? -y**3 - 9*y**2 - 3*y + 1353 What is the m'th term of 72, 77, 80, 81, 80? -m**2 + 8*m + 65 What is the q'th term of -517, -1148, -1789, -2446, -3125, -3832, -4573? -q**3 + q**2 - 627*q + 110 What is the d'th term of 100, 371, 798, 1381? 78*d**2 + 37*d - 15 What is the r'th term of 297066, 297055, 297030, 296985, 296914, 296811, 296670, 296485? -r**3 - r**2 - r + 297069 What is the t'th term of 4834, 5150, 5676, 6412, 7358, 8514, 9880? 105*t**2 + t + 4728 What is the l'th term of 94448, 188889, 283330, 377771, 472212, 566653? 94441*l + 7 What is the f'th term of 3077, 6283, 9489? 3206*f - 129 What is the l'th term of 1754, 4197, 6640? 2443*l - 689 What is the b'th term of 81, 434, 1025, 1854? 119*b**2 - 4*b - 34 What is the b'th term of -105, -2399, -6223, -11577, -18461, -26875, -36819? -765*b**2 + b + 659 What is the y'th term of -109457, -218924, -328391, -437858? -109467*y + 10 What is the v'th term of 3564, 3506, 3402, 3246, 3032? -v**3 - 17*v**2 + 3582 What is the y'th term of -1479, -2917, -4355, -5793, -7231? -1438*y - 41 What is the p'th term of 517, 1261, 2229, 3421, 4837, 6477? 112*p**2 + 408*p - 3 What is the n'th term of -485, -897, -1321, -1763, -2229, -2725, -3257, -3831? -n**3 - 405*n - 79 What is the t'th term of -2030, -1912, -1614, -1046, -118, 1260, 3178, 5726? 15*t**3 + 13*t - 2058 What is the m'th term of 4155, 4037, 3919, 3801, 3683, 3565? -118*m + 4273 What is the u'th term of -525, -1053, -1581? -528*u + 3 What is the q'th term of 438, 1751, 3938, 6999? 437*q**2 + 2*q - 1 What is the g'th term of -112, -1391, -5024, -12187, -24056, -41807, -66616? -196*g**3 - g**2 + 96*g - 11 What is the f'th term of 488, 1758, 3802, 6620, 10212, 14578? 387*f**2 + 109*f - 8 What is the i'th term of -19349, -19383, -19417, -19451, -19485? -34*i - 19315 What is the d'th term of 4549, 17503, 39091, 69313, 108169, 155659, 211783? 4317*d**2 + 3*d + 229 What is the x'th term of -39802, -79608, -119414? -39806*x + 4 What is the d'th term of 793, 796, 809, 832, 865, 908? 5*d**2 - 12*d + 800 What is the q'th term of -1609, -1743, -1877? -134*q - 1475 What is the s'th term of 8608, 34427, 77458, 137701, 215156, 309823, 421702? 8606*s**2 + s + 1 What is the p'th term of -3576, -3554, -3504, -3414, -3272, -3066? 2*p**3 + 2*p**2 + 2*p - 3582 What is the c'th term of 202, 182, 142, 76, -22, -158, -338, -568? -c**3 - 4*c**2 - c + 208 What is the q'th term of -5739, -11448, -17171, -22914, -28683? -q**3 - q**2 - 5699*q - 38 What is the w'th term of 853, 3463, 7811, 13897, 21721, 31283, 42583? 869*w**2 + 3*w - 19 What is the w'th term of 1103, 2649, 4195, 5741, 7287? 1546*w - 443 What is the q'th term of 196, 757, 1692, 3001, 4684, 6741? 187*q**2 + 9 What is the h'th term of -14, -258, -900, -2132, -4146, -7134? -32*h**3 - 7*h**2 + h + 24 What is the u'th term of -698, -808, -916, -1022, -1126? u**2 - 113*u - 586 What is the f'th term of 14429, 14403, 14367, 14327, 14289, 14259, 14243? f**3 - 11*f**2 + 14439 What is the t'th term of 344379, 344394, 344409? 15*t + 344364 What is the n'th term of 117474, 117481, 117488, 117495, 117502, 117509? 7*n + 117467 What is the v'th term of -32, -197, -466, -833, -1292, -1837? v**3 - 58*v**2 + 2*v + 23 What is the s'th term of 87, 262, 437, 612, 787? 175*s - 88 What is the g'th term of -16006, -16007, -16008? -g - 16005 What is the t'th term of -27682, -55238, -82794? -27556*t - 126 What is the s'th term of 8862, 8871, 8878, 8883, 8886, 8887? -s**2 + 12*s + 8851 What is the p'th term of -2398, -2383, -2368? 15*p - 2413 What is the r'th term of 1055, 1043, 1001, 917, 779? -2*r**3 - 3*r**2 + 11*r + 1049 What is the q'th term of 293, 1254, 2849, 5078, 7941? 317*q**2 + 10*q - 34 What is the l'th term of 11076972, 11076973, 11076974? l + 11076971 What is the u'th term of 18933, 37868, 56803, 75738, 94673? 18935*u - 2 What is the m'th term of -1042, -988, -992, -1084, -1294? -5*m**3 + m**2 + 86*m - 1124 What is the i'th term of -17, -36, -39, -20, 27, 108, 229, 396? i**3 + 2*i**2 - 32*i + 12 What is the c'th term of -472738, -472740, -472742, -472744? -2*c - 472736 What is the t'th term of -2393, -4816, -7239, -9662, -12085? -2423*t + 30 What is the d'th term of -66733, -133460, -200187, -266914, -333641? -66727*d - 6 What is the b'th term of 9092, 9097, 9108, 9125, 9148, 9177? 3*b**2 - 4*b + 9093 What is the f'th term of -58, -241, -548, -979, -1534? -62*f**2 + 3*f + 1 What is the q'th term of -3608, -7214, -10820, -14426, -18032, -21638? -3606*q - 2 What is the h'th term of 230, 903, 2024, 3581, 5562, 7955? -2*h**3 + 236*h**2 - 21*h + 17 What is the o'th term of 340793, 681584, 1022375, 1363166, 1703957, 2044748? 340791*o + 2 What is the t'th term of -305499, -611006, -916515, -1222026, -1527539, -1833054? -t**2 - 305504*t + 6 What is the v'th term of 87, 210, 397, 648, 963, 1342, 1785? 32*v**2 + 27*v + 28 What is the j'th term of 18, 87, 260, 585, 1110, 1883, 2952? 8*j**3 + 4*j**2 + j + 5 What is the v'th term of -69, -497, -1643, -3861, -7505, -12929, -20487, -30533? -59*v**3 - 5*v**2 - 5 What is the r'th term of 579, 998, 1419, 1842, 2267? r**2 + 416*r + 162 What is the k'th term of -24, -187, -594, -1359, -2596? -19*k**3 - 8*k**2 - 6*k + 9 What is the n'th term of 2196, 2203, 2222, 2259, 2320? n**3 + 2195 What is the v'th term of 218, 306, 394, 482? 88*v + 130 What is the t'th term of -18401, -36755, -55077, -73361, -91601? t**3 + 10*t**2 - 18391*t - 21 What is the q'th term of 29035, 29031, 29023, 29011, 28995, 28975, 28951? -2*q**2 + 2*q + 29035 What is the v'th term of -17369, -17359, -17343, -17321, -17293, -17259, -17219? 3*v**2 + v - 17373 What is the z'th term of -1322, -1334, -1346? -12*z - 1310 What is the s'th term of 19198, 38398, 57598, 76798, 95998? 19200*s - 2 What is the l'th term of -1079487, -1079486, -1079485, -1079484, -1079483? l - 1079488 What is the j'th term of 1601, 3175, 4729, 6251, 7729, 9151, 10505, 11779? -2*j**3 + 2*j**2 + 1582*j + 19 What is the s'th term of 62, 469, 876? 407*s - 345 What is the k'th term of -6167, -6174, -6199, -6248, -6327, -6442, -6599, -6804? -k**3 - 3*k**2 + 9*k - 6172 What is the u'th term of 413, 453, 493, 533, 573? 40*u + 373 What is the u'th term of 259, 810, 1729, 3016, 4671, 6694, 9085? 184*u**2 - u + 76 What
{ "pile_set_name": "DM Mathematics" }
3. -293*j**3 - 2*j**2 Collect the terms in 598*n**3 - 1194*n**3 + 38 + 598*n**3 + 577*n**2. 2*n**3 + 577*n**2 + 38 Collect the terms in 15*s - 82*s + 35*s + 95*s + 45*s + 18*s. 126*s Collect the terms in -8629*i**3 + 1891*i**3 + 31608*i**3. 24870*i**3 Collect the terms in -363*f - 362*f - 385*f - 378*f + 1519*f. 31*f Collect the terms in -6338*j**2 + 11735*j**2 + 2592*j**2. 7989*j**2 Collect the terms in -101*l**2 - 91*l + 90*l - 29*l**2. -130*l**2 - l Collect the terms in -4510622*t + 1503549*t + 1503540*t + 1503532*t. -t Collect the terms in 4058*f - 12181*f + 4037*f + 4040*f. -46*f Collect the terms in 76 + 80 + 960*t**2 + 83 - 239. 960*t**2 Collect the terms in l**2 - 404687 + 809422 - 404696. l**2 + 39 Collect the terms in 352 - 179 - 174 - 22084*l. -22084*l - 1 Collect the terms in 73 + 55 + 42*y**3 - 52 - 38 - 43*y**3. -y**3 + 38 Collect the terms in 1409*c + 71 + 1161*c + 9*c**2 - 72 - 17*c**2 + 10*c**2. 2*c**2 + 2570*c - 1 Collect the terms in 17354*o + 15600*o - 91102*o - 75298*o. -133446*o Collect the terms in -107*r**3 + 2*r**2 - 560*r**3 - 757*r**3 + 2*r. -1424*r**3 + 2*r**2 + 2*r Collect the terms in -833*h**2 + 296*h**2 + 174*h**2 + 165*h**2 + 189*h**2. -9*h**2 Collect the terms in -155*x - 554*x + 270*x - 621*x - 18 + 18. -1060*x Collect the terms in -21*k**2 + 4575615*k**3 - 2287786*k**3 - 2287830*k**3 + 21*k**2. -k**3 Collect the terms in 3 - 69*n**2 + 713783*n - 713783*n - 1. -69*n**2 + 2 Collect the terms in -15*y + 11*y + 10763 + 10277 - 21040. -4*y Collect the terms in -9*h**2 - 5*h**2 + 16*h**2 - 39671*h - h**2. h**2 - 39671*h Collect the terms in -1230697*g + 615400*g + 615311*g. 14*g Collect the terms in 17430*v + 1511677*v + 685906*v. 2215013*v Collect the terms in -302806*x + 100936*x - 14 + 100937*x + 100934*x - 7. x - 21 Collect the terms in 16*s**3 + 2*s**3 - 4*s**3 + 2 - 5*s**2 - 10*s + 8. 14*s**3 - 5*s**2 - 10*s + 10 Collect the terms in -1364*n**2 - 6 + 687*n**2 + 5 + 3*n**3 + 505*n**2. 3*n**3 - 172*n**2 - 1 Collect the terms in 1840*y**2 + 477*y**2 - 5975 + 5973 + 2990*y**2. 5307*y**2 - 2 Collect the terms in 0 - 1614*l + 4254*l - 3 + 3 - 4. 2640*l - 4 Collect the terms in -927*p + 6 + 485*p + 432*p. -10*p + 6 Collect the terms in -6394 + 2100 + 13*q + 2142 + 2145 - 9*q. 4*q - 7 Collect the terms in -10259*a + 30789*a - 10282*a - 10252*a. -4*a Collect the terms in 18*f - 5*f - 2*f - 8*f - 15300 - 5*f. -2*f - 15300 Collect the terms in -357*i**2 + 112*i**2 + 166*i**2. -79*i**2 Collect the terms in 1234343 - 7*z**3 - 2468721 + 1234378. -7*z**3 Collect the terms in 12*u**3 + 18*u**3 + 533 - 199 - 4*u - 168 - 166. 30*u**3 - 4*u Collect the terms in 476*l**2 + 42392 - 42392. 476*l**2 Collect the terms in -970 + 5531 - 11*w**3 + 3612 + 0*w**3. -11*w**3 + 8173 Collect the terms in -170*j - 6*j**2 - 203*j + 563*j - 190*j. -6*j**2 Collect the terms in -t + t + 43 + 43373*t**2 - 43 - 43375*t**2. -2*t**2 Collect the terms in -87*q**3 - 285*q**3 + 499*q**3. 127*q**3 Collect the terms in 9*m**2 - 496811306 + 496811306. 9*m**2 Collect the terms in -140*f**2 + 971448 - 6*f + 100*f**2 - 971447. -40*f**2 - 6*f + 1 Collect the terms in 31*z - 905*z**2 + 33*z - 11*z - 5*z + 903*z**2 + 63*z. -2*z**2 + 111*z Collect the terms in 148 + 23*v - 433 + 145 - 9*v - 2*v + 142. 12*v + 2 Collect the terms in -4 + 1 - 1160034382*g**2 + 1160035402*g**2 + 6 - 3. 1020*g**2 Collect the terms in -1 - 5124*u**3 + 569*u**2 - 5053*u**3 + 10228*u**3. 51*u**3 + 569*u**2 - 1 Collect the terms in 13093190328*b - 13093190328*b - 79*b**2. -79*b**2 Collect the terms in 11*f - 79*f + 83*f - 205*f. -190*f Collect the terms in -2163*m + 4227*m - 2137*m. -73*m Collect the terms in -20*d - 2*d + 4*d**2 + 22*d + 2*d**2 + 29187*d**3. 29187*d**3 + 6*d**2 Collect the terms in 334*z + 13483 + 62*z - 6738 - 6745. 396*z Collect the terms in 10718*u**3 - 42897*u**3 + 10724*u**3 + 10731*u**3 + 10719*u**3. -5*u**3 Collect the terms in 1265*t + 1130*t - 2398*t - 9*t**3. -9*t**3 - 3*t Collect the terms in 3 + x + 140*x**3 - 310*x**3 + 149*x**3. -21*x**3 + x + 3 Collect the terms in 76*a - 6*a**2 + 219*a - 472*a + 82*a + 95*a. -6*a**2 Collect the terms in 23*b + 250 - 544 + 102*b + 88*b + 294. 213*b Collect the terms in 10*x + 31*x + 34*x - 158*x + 48*x + 33*x. -2*x Collect the terms in 1578804655911 - 1578804655911 - 13*p. -13*p Collect the terms in 282160 + 282451 - 58*r**3 - 564611. -58*r**3 Collect the terms in 326*d**2 + 318*d**2 + 322*d**2 + 320*d**2 + 374*d**2 - 1659*d**2. d**2 Collect the terms in 64*i**2 - 47 - 47*i**2 + 125*i**2 + 47. 142*i**2 Collect the terms in -129*k**2 + 268*k**2 + 83*k**3 + 141*k**3 - 139*k**2. 224*k**3 Collect the terms in -104*c + 345 - 6*c**3 + 483*c**2 - 344 + 104*c. -6*c**3 + 483*c**2 + 1 Collect the terms in 1424*m**3 - 4507*m**3 + 1502*m**3 + 1453*m**3. -128*m**3 Collect the terms in -10824907429 + 5*p**3 + 10824907429 + 3*p**3. 8*p**3 Collect the terms in n + 406 - n + 1018*n**3 - 1019*n**3 + 580 + 925. -n**3 + 1911 Collect the terms in 20 + 1869*k**2 - 20 - 861*k**2 - 539*k**2. 469*k**2 Collect the terms in 52 + 68*i**3 - 11*i**3 - 50 + 223*i - 13*i**3 - 19*i**3 - 29*i**3. -4*i**3 + 223*i + 2 Collect the terms in -9970206*g + 19940413*g - 9970154*g. 53*g Collect the terms in -4*v**2 - 4*v**2 + 2*v**2 + 55*v + 338*v + 64*v + 3*v**2. -3*v**2 + 457*v Collect the terms in -45 - 159*s + 4 + 41. -159*s Collect the terms in -221404 + 110702 + 110702 - 574*d**2. -574*d**2 Collect the terms in 22 - 3765*n - 3 + 8159*n + 7325*n. 11719*n + 19 Collect the terms in 1 + 0 + 733*k - 2 + 615*k**2. 615*k**2 + 733*k - 1 Collect the terms in -7 + 2998*h + 2997*h - 1 + 2996*h + 3003*h - 12007*h. -13*h - 8 Collect the terms in 134 - 2*r + 13376*r**3 + 13360*r**3 - 40089*r**3 + 13366*r**3. 13*r**3 - 2*r + 134 Collect the terms in -29 - 33 + 23*d**2 + 64 + 12*d - 32*d + 20*d. 23*d**2 + 2 Collect the terms in -2*n + 0*n + 2*n - 958*n**3 + 227*n**3. -731*n**3 Collect the terms in 342 + 1381 - 6*w + 749. -6*w + 2472 Collect the terms in -1825 + 21*f**3 - 31*f**3 + 14*f**3. 4*f**3 - 1825 Collect the terms in 315*d + 312*d - 504*d + 320*d + 323*d - 765*d. d Collect the terms in 8*h + 352 + 1533 + 84. 8*h + 1969 Collect the terms in -14*i + 29*i**2 - 18*i + 82*i - 25*i - 25*i - 30*i**2. -i**2 Collect the terms in -33318*m**2 + 16396*m**2 + 16927*m**2. 5*m**2 Collect the terms in -1395876*s**2 + 1395876*s**2 - 59695*s**3. -59695*s**3 Collect the terms in 98199*l**3 - 1128*l + 98190*l**3 - 196386*l**3. 3*l**3 - 1128*l Collect the terms in 62 + 51*s + 56*s + 85. 107*s + 147 Collect the terms in -9*c**3 + 1553 - 1553 + 10*c**3 - 21*c**2 - 44*c**2. c**3 - 65*c**2 Collect the terms in 0*k**2 + 42*k - k**2 + 4*k**2 + 70*k - 1. 3*k**2 + 112*k - 1 Collect the terms in -d - 108722 - 6*d**2 + 108732 + 5*d**2 + 3*d**2. 2*d**2 - d + 10 Collect the terms in 5*k**2 + 419 - 5*k**2 - 24352*k - 2*k**3 - 420. -2*k**3 - 24352*k - 1 Collect the terms in 0*q**3 + 4*q**3 - 7739*q - 5127*q + 9*q**3 - 15*q**3. -2*q**3 - 12866*q Collect the terms in -539834 - 556*g + 552*g + 539781. -4*g - 53 Collect the terms in r - 8*r + r - 1919 + 1914 + 11*r - 2*r. 3*r - 5 Collect the terms in 1186 + 6*w**2 - 395 + 0*w**2 - 398 - 393. 6*w**2 Collect the terms in 17767 + 17758 + 10*u**3 + 17774 - 53304. 10*u**3 - 5 Collect the terms in -38*s - 16*s + 14*s + 80*s + 31*s + 0*s. 71*s Collect the terms in 135 - 313*l - 265 + 130. -313*l Collect the terms in -16480045328*u**3 + 17*u + 16480045311*u**3 - 17*u. -17*u**3 Collect the terms in -16 - 50*q**3 + 41 - 25 + 38*q**3 + 23*q**3. 11*q**3 Collect the terms in 2112*w**2 - 15*w**3 - 5*w - 129*w**2 + 7*w. -15*w**3 + 1983*w**2 + 2*w Collect the terms in 560785*l**2 - 210017*l**2 + 613547*l**2 + 252281*l**2. 1216596*l**2 Collect the terms in 705*s**2 - 5*s + 7074 - 7074 + 5*s + 319*s**2. 1024*s**2 Collect the terms in 26060*w**3 - 20797*w**2 + 20797*w**2. 26060*w**3 Collect the terms in 14*a**3 + 32*a**3 - 129*a**2 - 7*a**3 + 36*a**3. 75*a**3 - 129*a**2 Collect the terms in -7 + 7 - 22163271*o + 44326550*o - 22163277*o. 2*o Collect the terms in -21*h - 15*h + 71*h**2 - 11233 + h. 71*h**2 - 35*h - 11233 Collect the terms in 1599808835 - 3199617672 + 1599808837 - 4*p. -4*p Collect the terms in -115*v**3 - 2198*v**2 - 2137*v**2 + 4335*v**2 + 6*v**3. -109*
{ "pile_set_name": "DM Mathematics" }
the value of (28158/(-975) - -27)/((-4)/100)? 47 What is the value of (1180/826)/(((-27)/(-21))/(-9))? -10 What is the value of 38/15*12 + 140/(-5)? 12/5 30 - (3126/(-1248))/(36/(-432)) -3/52 What is the value of (-10 - 0)/((-47064)/370 + 127)? 50 What is 9/(-60) - (-90111)/171640? 3/8 Calculate 22/220 + 172/160*9*(-72)/(-594). 14/11 ((-53794)/(-1170) - 46)*12/16 -1/60 Evaluate 3/9*24*(-45)/(-8). 45 Calculate 23/(((-60)/(-400))/((-63)/210)). -46 What is ((-17)/(-85) - (-3)/35) + (-77)/(189189/2886)? -8/9 What is the value of 9*(-32 + (-25547)/(-1062)) + (10/4 - 1)? -70 Evaluate 10/(-1)*(7 + 156/(-130)*8/16). -64 Calculate (-2 + 24 + 9/(-1))*2. 26 What is (10087/(-165) + 61)/6? -1/45 Calculate (-15)/12*(-3 + (12 - 1) - (-8148)/(-1067)). -5/11 What is the value of 162980/122235*((1 - 1) + 1/10)? 2/15 Evaluate (7761/98306)/(1*(-2)/(-24)). 18/19 1298/(-546) + (2/(-36) - (4 - (-63716)/(-15912))) -17/7 Evaluate (-19)/76 + ((-180)/48 - -16). 12 What is the value of (308/(-770))/(21/(-2205))? 42 What is (-12)/45*(-4770)/(-4240)? -3/10 Calculate -6 - ((-8740)/(-483))/((-99)/33). 2/63 (41 + -26)/((-4 + 41/14)/(1224/(-238))) 72 What is (-32*(-414)/9568)/(4/26) - (2 + -50)? 57 38/(5472/(-24)) + ((-10)/50)/(12/(-230)) 11/3 Calculate (12501/(-378) - (-42)/588) + -3*(-1 - 1). -27 Calculate (3000/3375)/((-11)/(-792)). 64 What is (-17784)/1938 - ((-7)/7 + 14/(2 + -4))? -20/17 What is the value of (12/42*7 + (-18)/11)/(2 - 1)? 4/11 Evaluate (4/3)/((-80760)/(-720) + -113). -8/5 (-132132)/(-968) + (-8)/(32/(-26)) + 2/(-1) 141 Calculate 41 - 21 - (-127 + 190). -43 What is (-7072)/(-338) + 87 - 108? -1/13 What is (-819)/(-441) - 12/8? 5/14 Calculate (0 + -2)/(60/54*3*(-1)/5). 3 What is (-20643)/5898*(-3)/(21/(-170))? -85 (-8712)/4158*129/12298 -2/91 What is ((2 - -43)/(-3)*1)/(27/81)? -45 What is the value of (-1071)/45 + 6/4*1152/2160? -23 Calculate (-1)/((2862/53)/(-2052)). 38 (-61085)/2090 + 319*3/33 -5/22 Calculate ((-28)/6 + 6)/(50/(-1125)*-24)*24. 30 Calculate (11 + 345/(-30))*32/(-2064). 1/129 Evaluate (-279)/837 - (4*1/6 - -31). -32 Evaluate (-16)/(-34)*(-68374)/20110. -8/5 What is ((-121647)/(-483) - 241)/((-1)/7)? -76 What is 40/18 - 1539/729? 1/9 (131 + -83 + (-128130)/2670)*2/(-1) -2/89 Evaluate 2/(-55) + (-1805922)/(-34705) + -12. 40 What is -118 - 2 - 35568207/(-296550)? -3/50 What is the value of (9 - 1)*((-79810)/(-1840) - 44)? -5 What is the value of -23 - (-24 - (-7 - -38))? 32 What is the value of 215/20 - (-882)/(-588)? 37/4 Evaluate ((-2)/4)/((-2)/(-13) + 338865/(-2062944)). 48 Calculate (56870/(-282) + 202)*(2/(-3))/(1/108). -24 Calculate 0/(-2) - (27 + 14174/(-532)). -5/14 What is (-1170552)/33522 - 27/333? -35 What is (-12)/(-27) - ((-9)/63 + 2231/(-63))? 36 ((1/2)/(1335/(-534))*-1)/(92/(-10)) -1/46 ((-20)/320*(-25 + -5 + 18))/((-6)/(-64)) 8 What is the value of 148/518*((-7)/156)/((-6)/(-12))? -1/39 What is the value of (-5 - -6) + 1364/341? 5 Evaluate (-252)/70*4/56 + (1 - (-8)/(-7)). -2/5 Calculate (-99 + (-29316)/(-140))/(4/5). 138 (39 + -65 - (-518)/20)*(-2 + 6) -2/5 What is (-1230)/(-60) + -11 + (-70)/10? 5/2 What is the value of (2 + (1 - 4))*636/(-21)*(-651)/186? -106 Evaluate 1/6*(((-918)/(-10))/(-17))/(45/(-300)). 6 Evaluate ((-188)/(-141))/((160/4)/(-2)). -1/15 Calculate 2/(-22) + (1795 + -1772 - 560/11). -28 Evaluate (1 + 5)/(-1 - (-42)/30). 15 What is 1187/(-3561)*13/(52/444)? -37 Calculate 555/296 - (-3157)/(-88). -34 What is (-151)/(-143) + 117015/(-85811)? -4/13 What is (-146)/(-20) + ((-72)/(-3) - (-1071)/(-45))? 15/2 What is 19845/4536*3/21? 5/8 Evaluate (-2073)/(-1382)*((-355)/15 + -3). -40 38 - (-141 + 2960/40) 105 What is the value of (-192)/9120 - (0 + (-7998)/855)? 28/3 What is the value of ((-27)/7 - -4)/(-1) - (-6 + (-4420)/70)? 69 What is (-3612)/105 + 33 - 2/(-2)? -2/5 What is the value of -2288*27/(-864) + -70? 3/2 Calculate ((-12)/(-3) + 1)/(84590/27684). 18/11 What is ((-68)/12 - -2) + 9545/1245? 4 ((-2793)/(-1710) - 2/15)*(5 + 2454/(-486)) -2/27 What is (-3)/(38 - 224312/5896)? 67 What is the value of (10340/6721)/((-15)/6)? -8/13 What is -46 + 17 + -31 - -22? -38 Calculate 30 - (12 - 12) - (-18)/2. 39 Calculate 15088/(-276) + 58 - 320/105. 2/7 (109/(-6) - (-2)/(-2) - -2)/(4221/25326) -103 ((-1133958)/10904 - -104)*((-38)/5 - (-4)/(-10)) -2/47 Calculate ((-210)/6720 + 36371/(-1184))/(3/2*-1). 41/2 Evaluate ((-64311)/(-585))/97*3. 17/5 What is the value of 32/(-72) + (-10)/(-45)*21*(-5424)/(-252)? 100 What is (3 + 54/(-12))/(-10*9/60)? 1 Evaluate (303/202)/((-6)/92)*-1 - -13. 36 (-15 - 20) + (-12996)/(-372) -2/31 What is ((-21)/(-3) - -6) + -46 + 44? 11 What is the value of -3*(-24)/45*(-452037)/68232? -53/5 What is the value of 24 - (2054/52 - 39)*86? -19 Evaluate (-120)/(-540)*(-12 + -105). -26 What is the value of ((44268/837)/(-238))/(4/(-105) - 0)? 35/6 What is (16/7)/(((-8)/(-20))/((-1036)/185))? -32 What is -11*(-1 - 2)/((-118404)/1380)? -5/13 What is (-162)/90 - (5304/(-65))/17? 3 What is (2/(-10))/((-376)/(-50) + 630/(-99 + 9))? -5/13 (45/285*-19)/(18/174) -29 What is the value of -371 + 342 - 1*(-308)/12? -10/3 (6720/5400)/(55/(-396)) + 1/(-25) -9 Evaluate -2 + 1/((-2)/(-36)) + 54*29/(-261). 10 Evaluate (460/13340)/(415/145). 1/83 What is the value of ((-99)/36)/((-37950)/300)? 1/46 Evaluate 4752/(-126) - (465/35 + -14). -37 What is the value of (-67456)/(-930) - 27 - 45? 8/15 0 + -19 + (-83 - -143 - 68) -27 What is ((-141)/27 + 6)/((-4)/(-24)*-3)? -14/9 Calculate (-8 - 532/(-35))*(26 - (-27 + 58)). -36 510/9*(-9504)/53856 -10 What is (-17)/7*77*22/(-242)? 17 What is the value of (108/(-30))/((-6)/20 + 277/554)? -18 What is -32 + (44/10)/(477/45 - 11)? -43 What is the value of 1539/3420 + 1/(-5) - (1 + 2)? -11/4 Calculate ((5 - (-2681)/(-532))/3)/(2/8). -1/19 What is ((-53)/901)/(6/323)? -19/6 Calculate 275/(-88)*(-308)/70 - 15. -5/4 What is the value of (-37)/(-370)*20/14 + (-996)/14? -71 Evaluate (-41 - (-70)/40) + 39. -1/4 Evaluate ((-4600)/(-440))/((-37)/(-407)). 115 Calculate (-46)/21*(-7497)/714. 23 Evaluate (-3)/36 - (-2065)/(-17700). -1/5 What is (30/(-36))/((-11)/(-153) - 110/(-495))? -17/6 (-6245)/(-33723)*270/475 2/19 Evaluate 257556/(-14859) + 58/6. -23/3 Calculate 4120/515*(-1)/(-24)*159. 53 (-4704)/9984*(-160)/70 14/13 What is (-268 + 371)/(42 - 43)? -103 What is (-2)/(30/(-489)) + 714/(-1190) - -15? 47 (0 + -9)/((-192)/(-555) + 23120/592 + -39) -45/2 What is the value of (8360/605 + -14)*-4? 8/11 What is (34848/3840)/((15/10)/(10/12)) - 5? 1/24 Calculate 1006/(-92) - (470 + -462 - (19*-2)/(-2)). 3/46 Calculate 604/(-3322) - 448/440. -6/5 What is the value of -1*(-4 + 36 - 21)*5? -55 (-27 + 48 + -30 - 122)/((-1)/(-5)*5) -131 What is the value of (24/182)/((-13971)/162995)? -20/13 ((-10)/(-6))/((-6)/(-324)*(13 + -19)) -15 What is the value of 18450/540 - (-60)/288*4? 35 -1154 + 1078 + (-476)/(-6) 10/3 11/880*(-2355)/(-942) 1/32 What is the value of 1/3*(((-1008)/280)/9 - (-2)/(-4))? -3/10 What is the value of -8*(-24357)/(-3864) - 6/(-14)? -50 Calculate 18/(-2) - (-270)/11*(-62513)/11366. -144 Calculate ((-952)/(-204))/(8/(-15))*2/(-5). 7/2 Evaluate (-18)/26*127/(35052/(-1794)). 9/2 (12/78 - (-22089)/(-1365)) + (64 - 48) -1/35 (-102)/(-340) + ((-507)/30 - -15) -8/5 What is (-1885)/1014 - (4642/(-132) - -35)? -22/13 What is ((-28101)/(-4408) - (-5 - -1))*(-7 - (0 - -1))? -83 What is the value of 2 - (1 + -4)/(((-40)/84)/(164/(-574)))? 19/5 What is the value of (84/5*24/16)/(514/1285)? 63 Calculate -403*12/(-156) + -2 + -107. -78 Evaluate (-756)/(-34) + (-598)/46 + -9. 4/17 Calculate -15 + 1053/273*(-147)/(-35). 6/5 Evaluate (0 + (-8)/30)*(3253275/(-9500) - -342). 3/25 (-20*32/6800)/(29/(5655/(-52))) 6/17 What is ((-4 - -1)/3)/((-11)/(-550)) + 0 + 0? -50 (((-12)/(-27))/(3070/(-102231)))/((-56)/30 - -2) -111 Calculate (-28)/(56 - (-1296)/(-24)). -14 What is (321/(-3) + 2)*(-28)/10*(-1778)/6223? -84 What is ((-149)/(107280/1620))/((-3)/20)? 15 Evaluate ((-257350)/(-20588))/(1/(-6)). -75 (-18 - (-5)/((-225)/(-807)))/((-12)/7740) 43 Evaluate -27 + (446404/11235)/((-12)/(-9)). 14/5 Evaluate 144/2550 - (-13)/(-1300)*8. -2/85 ((-4)/8 + 2)/(494/(-76) + 4) -3/5 What is (-12)/(-52) - (-764)/(-24830)? 1/5 0/11*205/205 0 What is the value of ((-192)/(-416))/(16770/1859 + -9)? 22 Calculate (1220 - 1
{ "pile_set_name": "DM Mathematics" }
st 10000? 28260000 Round -0.2402273606 to three decimal places. -0.24 Round -610.388502 to the nearest integer. -610 Round -6038649.01 to the nearest one hundred. -6038600 What is 2100698.81 rounded to the nearest 1000? 2101000 Round 46232.6437 to the nearest 1000. 46000 Round 0.271028114 to four decimal places. 0.271 Round 6730993.9 to the nearest 1000. 6731000 What is -0.0139914828 rounded to four decimal places? -0.014 What is -1.215192426 rounded to 3 decimal places? -1.215 What is -83.147243 rounded to the nearest 100? -100 What is 16.64869412 rounded to one dp? 16.6 Round 0.0000583440739 to seven dps. 0.0000583 Round -0.4859729637 to 3 dps. -0.486 Round 15856302.06 to the nearest 100. 15856300 Round 0.00001147614 to seven decimal places. 0.0000115 Round 0.004754349515 to 4 decimal places. 0.0048 Round 159.3231056 to 2 decimal places. 159.32 Round -822.7858147 to the nearest one hundred. -800 What is 0.000011526196136 rounded to six dps? 0.000012 Round -1027.860965 to the nearest 10. -1030 Round -24088.6155 to the nearest 10. -24090 Round -414.550531 to 1 decimal place. -414.6 Round 0.01555905852 to 6 decimal places. 0.015559 Round -63829290.8 to the nearest 10000. -63830000 What is -2.78464528 rounded to 2 decimal places? -2.78 What is -0.00927047786 rounded to 5 decimal places? -0.00927 What is 3767637.75 rounded to the nearest 10000? 3770000 What is -62589478.7 rounded to the nearest one hundred thousand? -62600000 What is -1.360226 rounded to one decimal place? -1.4 Round 34057.50097 to 0 dps. 34058 What is 8.6289161 rounded to 3 dps? 8.629 Round 0.227131706 to 2 decimal places. 0.23 What is 175060122 rounded to the nearest 100000? 175100000 Round -0.0000792868948 to five dps. -0.00008 Round -110743.9091 to the nearest one hundred thousand. -100000 What is 2409053600 rounded to the nearest one million? 2409000000 What is 2704.28956 rounded to the nearest ten? 2700 What is -420405.5071 rounded to the nearest 1000? -420000 What is 0.00121581907 rounded to 7 decimal places? 0.0012158 What is -69962.07921 rounded to the nearest 1000? -70000 What is -0.00224911789 rounded to six dps? -0.002249 Round 1.6375616 to two dps. 1.64 Round 75407346.04 to the nearest 1000000. 75000000 Round 47877940 to the nearest one million. 48000000 What is 0.0079649307 rounded to 5 dps? 0.00796 What is -23074447000 rounded to the nearest one million? -23074000000 What is 5219859.713 rounded to the nearest one thousand? 5220000 Round 8.421018131 to 1 dp. 8.4 What is -265.577715 rounded to 2 dps? -265.58 Round 4.461049926 to the nearest integer. 4 What is -0.0105160915 rounded to 5 decimal places? -0.01052 What is -378803.333 rounded to the nearest 10000? -380000 What is 113911.16 rounded to the nearest 100? 113900 What is -109179.067 rounded to the nearest one hundred? -109200 What is -1838.76345 rounded to 0 dps? -1839 Round -204268.1099 to the nearest 10000. -200000 What is 0.072794436 rounded to two dps? 0.07 What is 0.82248055 rounded to 1 decimal place? 0.8 Round 3614.8727 to the nearest 100. 3600 What is -3214657330 rounded to the nearest 100000? -3214700000 What is -3.6423775 rounded to two decimal places? -3.64 Round 548980829 to the nearest 1000000. 549000000 Round 507841233 to the nearest 100000. 507800000 What is 0.0074523913 rounded to 5 decimal places? 0.00745 Round -91.56111154 to 3 decimal places. -91.561 What is 834327.6379 rounded to the nearest one hundred thousand? 800000 What is -18801364.2 rounded to the nearest 10000? -18800000 Round 242620462 to the nearest 10000. 242620000 Round 21011.5526 to the nearest 1000. 21000 Round 159557625 to the nearest 10000. 159560000 Round 960.52964 to the nearest one hundred. 1000 What is 865545.07 rounded to the nearest one hundred? 865500 Round -87918009480 to the nearest 1000000. -87918000000 What is 23462814.29 rounded to the nearest 1000? 23463000 What is 0.0452886304 rounded to 6 dps? 0.045289 What is -0.084062882 rounded to two decimal places? -0.08 Round -1743.54146 to zero decimal places. -1744 Round 0.003143965003 to 6 decimal places. 0.003144 Round 0.00190927559 to 7 decimal places. 0.0019093 Round 0.0042097837 to four decimal places. 0.0042 What is 0.170701992 rounded to 5 decimal places? 0.1707 Round 0.667451362 to 1 decimal place. 0.7 What is 81356.8524 rounded to the nearest 100? 81400 What is -0.02581338173 rounded to two decimal places? -0.03 What is 314022.42 rounded to the nearest 1000? 314000 Round -0.215335226 to two dps. -0.22 Round -113689.90798 to the nearest 1000. -114000 Round -688674.8592 to the nearest 1000. -689000 Round 175428967 to the nearest 100000. 175400000 Round -8418.166029 to 1 dp. -8418.2 What is 0.00022078774 rounded to six decimal places? 0.000221 What is -77663.303 rounded to the nearest 100? -77700 Round 500543.2178 to the nearest 10. 500540 What is 0.2333305483 rounded to two dps? 0.23 What is -1.1186901387 rounded to 3 dps? -1.119 What is -1314345920 rounded to the nearest one hundred thousand? -1314300000 What is 0.000004098056705 rounded to seven dps? 0.0000041 Round 0.0001378569165 to 6 dps. 0.000138 What is -0.186793033 rounded to 2 dps? -0.19 Round 20.6301431 to the nearest integer. 21 Round 49046822 to the nearest one hundred thousand. 49000000 What is -7.4365076 rounded to one dp? -7.4 What is -137292.83736 rounded to the nearest integer? -137293 What is 144172.412 rounded to the nearest ten? 144170 Round -0.0000039545256832 to 7 dps. -0.000004 What is -0.00094886078 rounded to four decimal places? -0.0009 What is 7137897.101 rounded to the nearest one hundred? 7137900 What is 2.1950363 rounded to three dps? 2.195 Round 2351.28601 to the nearest one hundred. 2400 Round -73936717.66 to the nearest ten thousand. -73940000 Round -88.91266384 to the nearest ten. -90 Round -1.32321339 to three dps. -1.323 What is 0.002207093439 rounded to five decimal places? 0.00221 Round -473482.399 to the nearest 10000. -470000 Round -5492904.08 to the nearest 10000. -5490000 What is -367390536.2 rounded to the nearest one hundred thousand? -367400000 Round -0.000350574191 to six dps. -0.000351 Round -339.055522 to 1 dp. -339.1 What is 2.7693962389 rounded to 2 dps? 2.77 Round -35.0688609 to the nearest 10. -40 What is 0.0001422033329 rounded to six dps? 0.000142 What is -18966.45954 rounded to the nearest 1000? -19000 Round -0.07287582 to three dps. -0.073 Round 1637.995 to the nearest 10. 1640 What is -0.10295411 rounded to 3 dps? -0.103 What is -44859.629 rounded to the nearest 1000? -45000 Round 0.1312068 to two decimal places. 0.13 Round -0.00004786272137 to seven decimal places. -0.0000479 What is -5.85577995 rounded to 1 decimal place? -5.9 Round 25.08873 to zero dps. 25 What is -7357051.01 rounded to the nearest 1000? -7357000 What is 119084756.5 rounded to the nearest 10000? 119080000 Round 173887.469 to the nearest one hundred thousand. 200000 Round 991118.19 to the nearest 10000. 990000 Round 0.000863101028 to 5 dps. 0.00086 What is -0.0000265756884 rounded to 7 dps? -0.0000266 Round -0.0005748505 to seven dps. -0.0005749 What is -731.84068 rounded to 1 dp? -731.8 Round 107496.4276 to the nearest ten. 107500 What is 0.000330092941 rounded to five dps? 0.00033 Round 0.0247518301 to four dps. 0.0248 What is -35.98764539 rounded to 3 dps? -35.988 Round -0.0004070638239 to 6 decimal places. -0.000407 Round -4.9770902 to 3 decimal places. -4.977 What is -0.0031504275 rounded to 4 decimal places? -0.0032 What is -9.5988143 rounded to the nearest 10? -10 What is 0.006657258 rounded to two dps? 0.01 Round -3.7748665 to the nearest integer. -4 What is 0.722592603 rounded to four dps? 0.7226 What is 4.1860387 rounded to 3 decimal places? 4.186 Round -1115581.577 to the nearest one hundred thousand. -1100000 What is 87.369241 rounded to the nearest 10? 90 What is -501221.64 rounded to the nearest ten thousand? -500000 What is 18.18594928 rounded to 3 dps? 18.186 What is -7.4323391 rounded to zero dps? -7 What is -0.000303619675 rounded to seven dps? -0.0003036 What is -140561054.32 rounded to the nearest one million? -141000000 What is 42.0446759 rounded to one dp? 42 Round -0.00098139193 to 5 dps. -0.00098 What is -0.000494896077 rounded to 6 dps? -0.000495 Round 1.2931
{ "pile_set_name": "DM Mathematics" }
- a. What is the tens digit of u? 5 Suppose 2*c + 278 = -156. Let h = c + 491. What is the hundreds digit of h? 2 Let z be ((-14)/21)/(2/(-42)). Suppose -2*m - z*m + 2064 = 0. What is the units digit of m? 9 What is the thousands digit of 1 + 1 - (-1946 - 6)? 1 Let r = 8824 + -5824. What is the thousands digit of r? 3 Suppose 41*d - 42*d = -291. What is the tens digit of d? 9 Let l(p) = -p + 8. Let q be l(6). Suppose x + 33 = -q*x. Let u = x - -34. What is the units digit of u? 3 Let v = 1594 + -471. What is the thousands digit of v? 1 Let k = 21 + -25. What is the tens digit of ((-3)/k)/(262/(-264) + 1)? 9 Let c(b) = 6 + 3 - b**2 - 12 + 5*b. Let z be c(5). What is the units digit of (z + 1)*15/(-6)? 5 Suppose -l + 120 - 25 = 0. Let x = -53 + l. What is the units digit of (2 - x/4)*-2? 7 Let s be (0 + -1)*(11 - 124). Let q = s + -13. What is the hundreds digit of q? 1 Suppose 0 = 4*a - 4923 - 4549. What is the units digit of a? 8 What is the tens digit of (3 - 1 - 0) + (-51 - -1413)? 6 Suppose -j + 4*k + 90 = 0, -4*j = 3*k + 51 - 316. Suppose -2*p + 76 = -j. What is the units digit of p? 3 Let l(r) = r**2 + 12*r + 5. Let g be l(-12). Suppose g*b - 5*c + 30 = 0, b - 24 = 3*b - 5*c. Let w(f) = -19*f + 1. What is the tens digit of w(b)? 3 Let p(l) = 2*l + 4. Let f be p(5). Suppose -2*m + 10 + f = 0. What is the tens digit of m? 1 Let f(v) = v**2 + 4*v + 1. Let r be f(-2). Let t(b) = -6*b. Let o be t(r). What is the units digit of (1/(-3))/((-1)/o)? 6 Let m(t) = t**3 + 18*t**2 + 28*t + 52. What is the tens digit of m(-12)? 8 Let t be ((-6)/18)/(2/(-18)). Suppose -7*k + t*k = -200. What is the units digit of k? 0 Let t(x) = 4*x**2 + 5*x + 6. Suppose 1 = y, 0 = z + 6*y - 4*y + 3. Let q be t(z). Suppose 3*d + l = q, -d + 38 = l + 3*l. What is the tens digit of d? 2 Let q = 483 - 159. Let m = -92 + q. What is the hundreds digit of m? 2 Suppose k = 5*y - 6*y + 51, 3*y = 5*k - 263. Suppose 4*q - 4*i = -104, -4*q = 3*i + 63 + 27. Let m = k + q. What is the units digit of m? 8 Let y = -229 - -460. What is the tens digit of y? 3 Let z(q) = 1 + 18*q - 59*q - 7*q. Suppose 3*k - k + 11 = -3*t, -5*t = 3*k + 18. What is the tens digit of z(k)? 4 Let x be (-1*1 - -2)*(59 - 1). Suppose -x - 222 = -4*q. What is the units digit of q? 0 Suppose -2*f + 128 = 3*a, -5*a + 14*f - 17*f + 213 = 0. What is the tens digit of a? 4 Suppose -2*d + 5*u = -7*d, u = -2*d + 3. Suppose 413 = d*m + 4*m. What is the units digit of m? 9 Suppose -5*g = -3*u - 33, 5*g - u + 2*u = 29. Let z(s) = -13 + 16 + 11*s - s**2 + g. What is the tens digit of z(7)? 3 Let a(k) = 5*k - k + 6*k + 2 - 5*k - 4*k**2. Let z be a(7). Let t = 232 + z. What is the units digit of t? 3 Suppose 0 = -2*a - 44*a + 83398. What is the tens digit of a? 1 Let q(a) = 8*a + 2. Let w(m) = 25*m + 4. Let v(b) = 7*q(b) - 2*w(b). Let r be ((-2)/(-5))/(2/10). What is the tens digit of v(r)? 1 Suppose 5*t - 45 = -4*y - 16, -t + 4*y + 1 = 0. Suppose -t*n + n = 92. What is the units digit of (n/(-3))/(1/3)? 3 What is the units digit of 1473/3 + 4*2/(-4)? 9 Suppose 0*z + 3*c - 644 = -z, -4*z + c + 2576 = 0. Suppose 9*x - z = 139. What is the units digit of x? 7 Let h(l) = l**2 + 6*l + 2. Let z be h(-6). Let n = -1 - -3. Suppose -n*r - 96 - 25 = -5*v, -z*r = 6. What is the units digit of v? 3 Suppose 3 = -4*d + 5*c, -3*d - 4*c = -9*c + 6. Suppose 2*r = -0*j + d*j + 23, 4*j = r - 14. What is the tens digit of r? 1 Let h = 13 - 11. Let t be 6/(-4) + (-29)/h. What is the units digit of (-5)/(-3) + t/24? 1 Suppose 0 = u - 2*o - 434, 5*u - 3*o - 1422 - 720 = 0. What is the tens digit of u? 2 Suppose -44*f + 50*f = 2412. What is the tens digit of f? 0 Let g = 150 - -116. What is the hundreds digit of g? 2 Suppose -112 = -2*j - 0*j. Suppose i = 9 - 40. Let w = i + j. What is the tens digit of w? 2 Let b be -161 - (2 - 1) - (4 + -1). What is the units digit of (8/12)/((-10)/b)? 1 What is the units digit of (-501)/(4/8*-6)? 7 Suppose -q = 4*p + 4 - 27, 3*p = 4*q + 3. Suppose -2*s - 5*a + 148 = 0, -3*s + s = -q*a - 164. What is the units digit of s? 9 Let n be (-3)/(-5) - 132/(-30). Let m(g) = -g + 10. Let a be m(n). Suppose -h + 3*j + 32 = 3*h, 2*j = -a*h + 17. What is the units digit of h? 5 Let b(w) = -14 - 5 - 10 - 7*w. What is the tens digit of b(-9)? 3 Suppose -29 = 6*b - 683. Let m = 122 - b. What is the units digit of m? 3 Suppose 8*n + 4*n = -24. Let l = n + 286. What is the units digit of l? 4 Let q = 3335 - 2165. What is the thousands digit of q? 1 Suppose -3 = -p - 0, -4*f = -5*p - 57. Suppose n = -4*n - 25. What is the units digit of -3*f/15*n? 8 Let w = 20 + -28. What is the units digit of ((-10)/w)/(7/28)? 5 Suppose 12*l - 6*l = -18. Let x(y) = -3*y**3 - y**2 - 2*y - 3. What is the units digit of x(l)? 5 Let c be 3*(-2 - -1) - -18. Suppose 54 = g - c. What is the units digit of g? 9 Let j = -11 - -20. Suppose 4*s - j + 1 = 0. What is the tens digit of (s/2)/((-7)/(-91))? 1 Let h be (-18 + 108)*(-4)/(-10). Let t(x) = -37*x**3 + 1. Let l be t(1). What is the tens digit of h*1*l/(-48)? 2 Let l(a) = 62*a + 543. What is the units digit of l(58)? 9 Let r be -3*(-4 - -3 - 0). Suppose -2*x + r*t - 11 = -40, -5*t - 45 = -3*x. What is the units digit of x? 0 Let o = -633 - -1145. What is the hundreds digit of o? 5 Let f(m) = 4*m**2 - 10*m - 9. Let g be f(-7). Let y = g - 98. What is the tens digit of y? 5 Let g = -11 - -15. Let l be (-4)/(-16) + (-17)/g. Let s(d) = -d**3 - 2*d**2 + 1. What is the units digit of s(l)? 3 Suppose -3*d = 2*d - 280. Let t = 37 + d. Suppose t - 33 = 2*z. What is the tens digit of z? 3 Let j(u) be the second derivative of u**4/12 - 3*u**3/2 + 11*u**2/2 + 8*u. Let g be j(11). Let v = -14 + g. What is the tens digit of v? 1 Let w(g) = -g**2 + 2*g - 3. Let v be w(3). Let o be ((-135)/2)/(14/14)*2. What is the tens digit of o/(-10) + 3/v? 1 Let o be 30/6 + 0 + (2 - 4). Suppose -o*w + 17 = -223. What is the tens digit of w? 8 Let w = -76 + 71. What is the units digit of (-5)/w + (-4 - 41*-5)? 2 Let g = -112 - -48. Let p = g + 109. What is the units digit of p? 5 Let w(m) = -31*m + 320. What is the thousands digit of w(-41)? 1 Let m be 3/(5/(-25)*-3). Suppose -5*s - 2*h = -662, -s = 2*s + m*h - 401. What is the tens digit of s? 3 Let h(i) = i**2 + 6*i - 4. Let d be h(-6). Let r be 36/14 - d/(-7). What is the units digit of -1 + r + 48/3? 7 Suppose 0 = 3*y - 2*s - 14683, 4*y - 20308 = 3*s - 730. What is the hundreds digit of y? 8 Let u = 54 - -174. Let p = u - 158. What is the units digit of p? 0 Let h = -9 + 19. Suppose 12*u - 48 = h*u. What is the units digit of u? 4 Let r = -369 + 598. What is the tens digit of r? 2 Suppose 17*i + 0*i = 48059. What is the units digit of i? 7 Suppose 0 = -4*h + 2*h + 6. Let g(u) = -1 - h*u + 0 + 3 + 9*u**2 - u**2. What is the units digit of g(1)? 7 Suppose -6*v + v + 145 = 0. Let l = v + -21. Let j = -4 + l. What is the units digit of j? 4 Let z(b) = b**2 + 1. Let q(d) = -5*d**2 + 13*d - 15. Let l(f) = -q(f) - 3*z(f). What is the tens digit of l(9)? 5 Let q(t) = -3*t**2 - 12*t - 12. Let b(j) = -2*j**2 - 6*j - 6. Let l(a) = -5*b(a) + 3*q(a). What is the tens digit of l(-3)? 2 Let g be (3/(-4))/((-1)/72). Let u be 2*(-1)/2 + g. Let y = u - 38. What is the tens digit of y? 1 Suppose -4*p - v = -5*p - 11, 2*p + 18 = -2*v. Let i = p - -12. What is the units digit of (3 - 2)/(i/54)? 7 Let g = 493 - 112. Let s = -264 + g. What is the units digit of s? 7 Suppose -4*q + 2583 = 167. What is the tens digit of q? 0 Let x(q) = 534*q - 1. What is the tens digit of x(1)? 3 Suppose -3*i + 3 = -2*y, 2*y + 0*y + 4 = 2*i. Let b be ((-2)/4)/(y/726). Suppose 5*j = -3*o + 77, 2*o - b = -3*o - j. What is the units digit of o? 4 Suppose 5*i = 4*s - 7540, -117 - 3653 = -2*s + 3*i. What is the thousands digit of s? 1 What is the units digit of (-2)/(-6)*(446 + 1 + -9)? 6 Let t = 34 + -62. Let d(x) = -x**3 + 6*x**2 + 7*x - 2. Let s be d(7). What is the units digit of (-35)/t - s/(-8)? 1 Let k(q) = -q**3 + 4*q**2 + 7*q - 10. Let t be k(5). Suppose 3*s + 8 - 311 = 3*m, t = 5*m + 25. What is the tens digit of s? 9 Suppose -3*d + d + 30 = 0. What is the units digit of ((-258)/d)/(1/(-5))? 6 Let o(u) = -37 - 3*u + 4*u + 31. Let j be o(10). Suppose 3*h = j*t + 38 + 41, 0 = 3*t + 12. What is the units digit
{ "pile_set_name": "DM Mathematics" }
7*p**2. Calculate t(y(i)). -9*i**4 - 54*i**2 - 81 Let b(o) = 41*o**2. Let s(t) = -70520*t. Calculate b(s(u)). 203895886400*u**2 Let k(n) = -7*n + 6562. Let a(y) = y**2. Give k(a(v)). -7*v**2 + 6562 Let q(h) be the third derivative of 0*h**3 + 3*h**2 + 0*h + 1/30*h**5 + 0 + 0*h**4. Let n(s) = 11 + s**2 - 3*s**2 - 11. Give q(n(g)). 8*g**4 Let t(z) = 66 - 66 - 6579*z**2 + 6596*z**2. Let b(q) = q**2 + 1. Let r(l) = -l**2 - 3. Let i(x) = -3*b(x) - r(x). Determine i(t(m)). -578*m**4 Let w(y) = -5*y. Let o(f) = f + 20. Let u be o(-13). Let v(i) = 0*i**2 - 1 + 1 + u*i**2. Calculate w(v(h)). -35*h**2 Let p(a) be the third derivative of -a**8/1344 + 7*a**5/30 - 29*a**2. Let y(j) be the third derivative of p(j). Let r(s) = 3*s**2. Calculate r(y(v)). 675*v**4 Let z(x) = -252*x. Let y(h) = -330*h + 2. Determine z(y(s)). 83160*s - 504 Let j = -42 - -44. Let q(b) = -6*b**j + 3*b**2 - 2*b**2 + 3*b**2. Let h(v) = 14*v. What is h(q(z))? -28*z**2 Let b(h) = 4*h + 27. Let q(u) = 17*u**2. What is b(q(n))? 68*n**2 + 27 Let m(g) = -2*g. Let a(u) be the second derivative of 4*u**3 - u**2 - u + 53. Determine a(m(d)). -48*d - 2 Let q(n) = n. Let o(j) = 17162*j + 112*j**2 - 17162*j. Give q(o(c)). 112*c**2 Let r be 69/230*2/36. Let a(o) be the third derivative of -r*o**5 + 0*o**4 + 0 + 0*o**3 - o**2 + 0*o. Let x(w) = -3*w**2. Determine x(a(i)). -3*i**4 Let j(r) = 5*r. Let l(z) = -6*z + 4. Let b be l(4). Let q be (b/(-8) - 3)*-6. Let k(t) = q*t + t - t. Determine k(j(u)). 15*u Let i(r) = -3 + 3 - 43*r**2 + 39*r**2. Let c(g) be the third derivative of g**4/12 - 2*g**2. Determine c(i(j)). -8*j**2 Let h(k) = 257*k**2. Let i(n) = 25*n. What is i(h(d))? 6425*d**2 Let p(n) be the second derivative of 0*n**2 + 0 - 29*n - 1/6*n**3. Let d(f) = -19*f**2 - 1. Give d(p(i)). -19*i**2 - 1 Let l(b) = -b**2. Let v(s) = 10*s + 2. Let j(w) = -4*w. Let c(h) = -5*j(h) - 3*v(h). Give c(l(t)). 10*t**2 - 6 Let f(b) be the third derivative of 187*b**4/24 - b**2 + 157. Let q(k) = 2*k**2. Calculate f(q(y)). 374*y**2 Let q(b) = -6*b. Let i(t) = 14*t**2 + 164448*t - 164448*t. Give q(i(x)). -84*x**2 Let k(p) be the first derivative of -1/2*p**2 - 31 + 0*p. Let z(u) = 6*u**2. Determine k(z(l)). -6*l**2 Let s(n) = 2*n**2 - 142*n. Let m(k) = -8*k**2 - 49*k - 7. Let j(v) = 7*v**2 + 42*v + 6. Let y(o) = 7*j(o) + 6*m(o). What is s(y(x))? 2*x**4 - 142*x**2 Let c be (-2 - 2)*2/(-4). Let g(w) = w + c*w - 2*w. Let t(k) be the first derivative of 34*k**3/3 + 114. Determine t(g(l)). 34*l**2 Let i(h) = 2*h. Let w(d) = 53744*d**2. Determine i(w(z)). 107488*z**2 Let m(n) = 3*n. Let g(i) = 420*i**2 - 7*i + 2. Give m(g(q)). 1260*q**2 - 21*q + 6 Let v(q) = 2*q**2. Let r(y) = -8 - 11 - 9 + y**2 + 33. Determine v(r(l)). 2*l**4 + 20*l**2 + 50 Let b(z) = 2*z - 2*z - 4*z - 6*z + 8*z. Let g(j) = 7*j - 31. Calculate g(b(o)). -14*o - 31 Let f(u) = 1014067*u. Let o(r) = r. Calculate f(o(i)). 1014067*i Let r(x) = -41*x + 19*x + 23*x. Let u(t) = -4*t**2 + 0*t**2 + 10*t**2 + 7*t**2. Determine r(u(y)). 13*y**2 Let s(f) = -7*f**2 - 4*f + 4. Let z(c) = 8*c**2 + 5*c - 5. Let i(l) = -5*s(l) - 4*z(l). Let q(j) be the first derivative of -11*j**2/2 + 50. What is q(i(w))? -33*w**2 Suppose -4*p + 2*i = -2*p - 420, -2*i - 211 = -p. Let j(w) = p - 209 - 11*w. Let f(c) = 3*c. Give f(j(b)). -33*b Let j(r) = -2*r**2. Let b(q) = 13*q + 3302. What is b(j(l))? -26*l**2 + 3302 Let l(a) be the second derivative of 5*a**4/6 + 26*a - 4. Let g(r) = -4*r**2. What is g(l(t))? -400*t**4 Let w(y) = -815475*y. Let r(a) = 3*a**2. Determine r(w(g)). 1994998426875*g**2 Let r = -84 + 115. Let t(u) = -r - 2*u - 30 + 61. Let b(d) = 13*d. Give b(t(k)). -26*k Let v(r) = 9*r**2. Let j(y) = 13961*y. Determine v(j(s)). 1754185689*s**2 Let l(w) = -3*w. Let n(q) = -2*q - 4302. Give l(n(h)). 6*h + 12906 Let p(v) = 2*v. Let d(h) = 18*h + 225. Determine p(d(t)). 36*t + 450 Let h(r) = -3*r - 5. Let s(d) be the first derivative of -d**2 + 12. Calculate s(h(z)). 6*z + 10 Let b(a) = -a. Let j(f) = -20095*f**2 - 83*f. Give j(b(x)). -20095*x**2 + 83*x Let s(t) be the first derivative of 24 + 0*t + 1/2*t**2. Let u(o) = -5*o. Let a(d) = -5*d. Let z(l) = 4*a(l) - 5*u(l). Calculate s(z(b)). 5*b Let g(n) = 689 - n - 689. Let l(u) be the first derivative of -22*u**3/3 - 6. Give l(g(z)). -22*z**2 Let i = 163 - 86. Let v(x) = -i + 77 - x. Let s(l) = 3*l. What is v(s(o))? -3*o Let q = -9 + 13. Let l(k) = -2*k**2 + 4. Let i(g) = -g**2 + 1. Let h(o) = q*i(o) - l(o). Let d(f) be the second derivative of f**3/3 + f - 6. What is d(h(t))? -4*t**2 Suppose -5*w + 45 = -5*h - 10, 20 = 4*w + 4*h. Let c(p) = 4*p - 5. Let b(u) = 6*u - 8. Let i(a) = w*c(a) - 5*b(a). Let n(q) = -12*q**2. Determine i(n(y)). -24*y**2 Let i(z) = 4355*z**2. Let m(r) = -12*r**2. What is i(m(l))? 627120*l**4 Let l(b) = 2*b. Let z = -9 + 6. Let v = -3 - z. Let c(h) = 4*h + h + v*h. Determine c(l(a)). 10*a Let f(k) be the third derivative of -k**5/60 - 72*k**2. Let d(q) = -4*q - 2. Give d(f(u)). 4*u**2 - 2 Let v(b) be the first derivative of b**2/2 + 17. Let k(w) = 34*w - w**2 - 8*w + 0*w**2. Determine k(v(l)). -l**2 + 26*l Let w(h) = -945163*h. Let z(u) = -2*u. What is w(z(y))? 1890326*y Let l(y) = -1956*y. Let p(q) = 29*q. Give l(p(z)). -56724*z Let u(q) = -75*q + 4. Let i(t) = 3*t**2 - 1. Let r(g) = -14*g**2 + 4. Let y(m) = 4*i(m) + r(m). What is u(y(w))? 150*w**2 + 4 Let m(k) = 396*k. Let p(h) = -370*h + 742*h - 372*h + 2*h**2. What is p(m(w))? 313632*w**2 Let f(l) be the third derivative of l**4/12 - l**2. Suppose -30 - 10 = -5*p. Let i(s) = p*s - 14*s - 4*s. Determine f(i(b)). -20*b Let f(m) = -6*m**2 + 0*m + 0*m. Let u(o) be the first derivative of o**2/2 - 2211. Calculate f(u(a)). -6*a**2 Let r(k) = -3*k**2 + 5*k**2 - 3*k**2. Let y(m) = -5*m + 8*m - 4*m. Determine y(r(u)). u**2 Let t(r) = 2*r. Let u(j) = -2173*j**2 - 67*j - 2. Calculate u(t(f)). -8692*f**2 - 134*f - 2 Let w(p) = 2*p**2 - 3*p - 3. Let m(t) = 4*t**2 - 7*t - 7. Let c(d) = -3*m(d) + 7*w(d). Let v(z) = 21*z + 17 + 3 - 20. Give c(v(u)). 882*u**2 Let p(b) = -2*b**2 - 16*b. Let g(z) = -2*z. Let j(k) = 8*g(k) - p(k). Let y(l) = 5*l**2 + 7*l**2 + 0*l**2. Calculate j(y(w)). 288*w**4 Let m(o) = 251*o**2 + 31*o - 31*o. Let d(j) = -2*j. Give d(m(q)). -502*q**2 Let p(y) be the first derivative of -40*y**3/3 - 76. Let n(v) = 3*v**2. Calculate n(p(f)). 4800*f**4 Let c(x) = 10*x. Suppose 2*y - 13 + 5 = 0. Let m(z) = -z + 6. Let t be m(y). Let b(q) = 6*q**2 - 2*q**2 - 3*q**2 - 2*q**t. What is c(b(w))? -10*w**2 Let b(y) = 42 - 9*y - 87 - y**2 + 36 - 12*y**2. Let c(j) = 3*j**2 + 2*j + 2. Let x(t) = -2*b(t) - 9*c(t). Let s(p) = -74*p**2. Give x(s(f)). -5476*f**4 Let s(g) = 2*g**2. Let p(m) = 52*m**2 - 5. Let d(f) = -156*f**2 + 14. Let l(b) = -3*d(b) - 8*p(b). Give l(s(c)). 208*c**4 - 2 Let s(j) = j**2. Let c(b) be the third derivative of 13*b**4/3 + 5*b**2 - 19*b. Calculate c(s(o)). 104*o**2 Let j(f) = -2*f**2 - 209864 + 209864. Let k(x) = -18*x**2 - 17. Calculate j(k(n)). -648*n**4 - 1224*n**2 - 578 Let r be -3 + 2 - (3 - 28). Let d(k) = -24 + r + 8*k. Let t(l) = -4*l. What is t(d(j))? -32*j Let f(q) be the third derivative of q**5/30 - 3*q**2. Let g(d) be the second derivative of d**4/4 - 9*d. What is f(g(i))? 18*i**4 Let c(m) be the second derivative of -277*m**4/6 + 132*m - 2. Let q(h) = h**2. Give q(c(d)). 306916*d**4 Let h be 264/32 - (-1)/(-4). Suppose x + 35 = h*x. Let i(s) = -3*s**2 - 5*s**2 + 6*s**2 + x*s**2. Let c(m) = 2*m. What is i(c(a))? 12*a**2 Let d(g) = 17*g**2. Let n = -4/159 - -133/3180. Let q(u) be the third derivative of 0 + 0*u**3 + 6*u**2 + n*u**5 + 0*u + 0*u**4. Determine q(d(c)). 289*c**4 Let f(t) be the second derivative of -t**3/6 + 2*t. Let p(z) = 1500*z**2 - 3033*z**2 + 1507*z**2. Determine f(p(i)). 26*i**2 Let s(w) = -152 - 2*w + 151 + 0*w. Let l(c) = 3*c. Calculate s(l(r)). -6*r - 1 Let w(c) = 606*c**2. Let r(l) = 225*l**2 - 124*l**2 - 102*l**2. What is w(r(d))? 606*d**4 Let a(p) = 440905*p - 1618. Let h(b) = 818*b - 3. Let f(w) = -3*a(w) + 1618*h(w). Let l(u) = -u**2. Calculate l(f(s)). -654481*s**2 Let z(v) be the third derivative of 5*v**4/24 + 9*v**2 - 16*v. Let k(m) = -2*m**2 - 2*m**2 + 2*m**2. What is k(z(p))? -50*p**2 Let a(z) = 95*z**2 - 25*z - 25. Let m(s) = 8*s**2 - 2*s - 2. Let l(f) = 2*a(f) - 25*m(f). Let h(v) be the first
{ "pile_set_name": "DM Mathematics" }
s the fourth biggest value in 0.3, 0.5, 4, -2, -28? -2 Which is the second smallest value? (a) 7 (b) -36 (c) -1/2 c Which is the third biggest value? (a) 0.0876 (b) 0.2 (c) -1 c Which is the fourth biggest value? (a) -1/5 (b) -4 (c) -10 (d) -0.4 c What is the smallest value in -3, 2, 1/44, 3? -3 Which is the fourth biggest value? (a) 4 (b) -20 (c) 1/7 (d) -1/5 (e) -0.6 e Which is the second biggest value? (a) 0.04 (b) -4 (c) -1/78 c Which is the biggest value? (a) 1/4 (b) -59 (c) -68 a What is the third biggest value in 2/143, 2, 1? 2/143 What is the third biggest value in 3, -5/4, 14, 1, 3/4? 1 Which is the fourth biggest value? (a) 0.5 (b) 6 (c) 0 (d) -1/2 d What is the second biggest value in -8, 0.05, 3/8, -0.1? 0.05 Which is the fourth smallest value? (a) 9 (b) -0.018 (c) 2/7 (d) -2/15 a Which is the fourth biggest value? (a) -1/4 (b) 6 (c) -0.2 (d) -7 d What is the fourth biggest value in 3/4, -0.2, -0.5, -4, 1? -0.5 Which is the fourth smallest value? (a) -0.03 (b) 2 (c) -7 (d) 4 d Which is the second smallest value? (a) -3/8 (b) -32/7 (c) -10 b Which is the smallest value? (a) -3/4 (b) 8.5 (c) -5 (d) -1/4 c What is the biggest value in -2/13, 3, 7, 6/13, -0.05? 7 Which is the second biggest value? (a) -16 (b) -5/6 (c) 1 b What is the third smallest value in -0.11, 3, -9/22, -1/6, 0? -0.11 Which is the third biggest value? (a) -2 (b) 5 (c) 42 a Which is the third smallest value? (a) 1 (b) -3 (c) -3/4 (d) 0.09 d Which is the biggest value? (a) 380 (b) -0.5 (c) 2/19 (d) -0.2 a What is the third biggest value in -4/3, 2, -1.141? -4/3 What is the second biggest value in 3/50, 24, -5? 3/50 Which is the second biggest value? (a) -8 (b) -2/13 (c) -30/13 c What is the second smallest value in 218, 0.3, 0? 0.3 Which is the second smallest value? (a) 0.09 (b) -2/9 (c) -3/8 (d) -1 c Which is the fourth smallest value? (a) 2 (b) 2/3 (c) 124/7 (d) -4 c What is the second smallest value in -8, -3, 0.1, 3/7, 4? -3 What is the third smallest value in -1/2, 1/6, 0.2, -0.4? 1/6 Which is the fourth smallest value? (a) 0.1 (b) -2/9 (c) 10 (d) 1 c Which is the biggest value? (a) 1 (b) -1/2 (c) -1 (d) -0.3 a What is the second smallest value in -2, 1/4, -0.5, 4.6? -0.5 Which is the third biggest value? (a) -6 (b) -7.6 (c) -3 b What is the third biggest value in -0.1, 0.01, 0.5? -0.1 What is the second smallest value in 2, -1/7, -1/2? -1/7 What is the biggest value in 2, 1028, -4? 1028 Which is the biggest value? (a) -0.5 (b) 3 (c) -0.3 (d) 1 b Which is the second biggest value? (a) 4 (b) 0 (c) 5 (d) -4/5 a What is the third smallest value in 0, -1.6, -0.3? 0 What is the second biggest value in 5, 1/4, -172? 1/4 What is the second biggest value in 0, 0.02, -13? 0 Which is the second biggest value? (a) -4/3 (b) -3 (c) -38.7 b What is the fourth smallest value in -3, -3/7, 0.895, 2/5? 0.895 Which is the third smallest value? (a) -15/37 (b) 2/5 (c) 1 c What is the smallest value in 3, -4, 11/2? -4 Which is the second smallest value? (a) -5 (b) 1/3 (c) 1/2 (d) -11 a Which is the biggest value? (a) 304 (b) 2 (c) 12 a What is the fourth smallest value in 39/2, 11, -1/2, -0.4, 3? 11 What is the third biggest value in -2/43, 1, -286? -286 What is the second smallest value in -1, 0.1, -6? -1 Which is the fifth smallest value? (a) -3 (b) 3 (c) 0 (d) -0.5 (e) 1130 e Which is the second smallest value? (a) 1 (b) -3/4 (c) 0.3 (d) -21 (e) 0 b Which is the third smallest value? (a) -5 (b) -62.2 (c) -4 c Which is the fourth smallest value? (a) 4 (b) -7 (c) -0.1 (d) -0.5 a Which is the fourth smallest value? (a) -60 (b) 1/4 (c) -0.3 (d) 0.1 (e) 0 d What is the fourth smallest value in 1/2, 1/4, 0.2, 0.1? 1/2 What is the fourth biggest value in -0.5, -0.73, -1, -4? -4 What is the second biggest value in 2/7, 4, -1/20, 0, 0.5? 0.5 What is the fourth biggest value in 0.9, -1/21, 0.5, -4, -2/13? -2/13 Which is the smallest value? (a) -5 (b) -0.08 (c) -11 (d) -0.4 c Which is the fourth smallest value? (a) -2/3 (b) 5/3 (c) -28.2 (d) 2 (e) -2 b Which is the second smallest value? (a) 1/7 (b) -1 (c) 12 a Which is the fifth smallest value? (a) 369 (b) 4 (c) 21/2 (d) 0 (e) -2/3 a Which is the fifth biggest value? (a) 143 (b) -4 (c) 1 (d) -5 (e) -0.5 d Which is the second biggest value? (a) 5 (b) -10 (c) 3 (d) -5 c What is the smallest value in -0.4, -9, -0.09, 0? -9 What is the biggest value in -1, 3, 0.395? 3 What is the second smallest value in -15, -1/4, 0? -1/4 What is the fourth biggest value in 4, -8, -1/5, -189? -189 Which is the second smallest value? (a) -0.2 (b) 2 (c) -0.3 (d) -0.5 (e) 0.02 c What is the fourth smallest value in -1, -14, -5, 0.5? 0.5 What is the biggest value in -81, -3/5, 0.3? 0.3 What is the smallest value in 46, -86, 0.1? -86 What is the smallest value in 1, -2, 128? -2 What is the third biggest value in -0.2, -10/9, 0.3, -3.8? -10/9 Which is the third biggest value? (a) 2 (b) 1 (c) 3 (d) 2/5 (e) 26 a What is the third biggest value in 0, -126, 0.3? -126 Which is the biggest value? (a) 0.3 (b) -3 (c) 0 (d) -2/15 (e) -425 a Which is the smallest value? (a) -1/28 (b) 1 (c) -5/3 c Which is the third biggest value? (a) -0.3 (b) 0.4 (c) 28 (d) -10 (e) 1/18 e What is the third biggest value in -2, 3, -12? -12 What is the second biggest value in 4/9, -78, 5? 4/9 What is the smallest value in 3/5, -1/8, -3, -25, 1? -25 Which is the second biggest value? (a) -0.1 (b) -0.3 (c) -0.4 (d) 2 a What is the fourth smallest value in 11, 3/4, -0.1, -10.6? 11 Which is the biggest value? (a) -1/8 (b) 5 (c) 7 c Which is the biggest value? (a) 1 (b) 12 (c) -40 (d) -2/11 b What is the third biggest value in -32, 0.1, -9/2? -32 What is the biggest value in 4, -2/7, -9, 5, -1/11? 5 What is the biggest value in 0, -3, 2.3, -0.5, -0.18? 2.3 What is the second biggest value in -15/8, -3/4, 2/3? -3/4 What is the second smallest value in 0.5, 4, 3, -0.123? 0.5 Which is the third smallest value? (a) 79 (b) 4 (c) 0.22 a Which is the second biggest value? (a) -3/7 (b) -3 (c) 87 (d) -0.5 a What is the fourth biggest value in -11, -0.08, -1, -0.1? -11 Which is the second smallest value? (a) 0.3 (b) 2/3 (c) 77 (d) 5 b What is the fourth biggest value in -0.4, -5, 0, 7? -5 What is the second smallest value in -2, -603, -0.1? -2 Which is the fourth biggest value? (a) 1/10 (b) 4 (c) -0.2 (d) 5 c What is the second smallest value in -34, 0.04, 1/18? 0.04 What is the second biggest value in -0.4, 1/8, -104? -0.4 What is the second biggest value in -2/11, 0.2, -3/2, -2/3, -2/103? -2/103 What is the smallest value in -3/7, 1/5, -1.8, -4? -4 What is the biggest value in -18, -0.5, 0.39, 2, -0.2? 2 Which is the biggest value? (a) -5 (b) 7 (c) 2 (d) 6 b Which is the fourth smallest value? (a) 2 (b) -4/3 (c) 357 (d) 1 c Which is the third smallest value? (a) 22 (b) -237 (c) -1 a What is the second smallest value in 2/9, 4, -0.5, -3, 6? -0.5 What is the biggest value in -0.07, 4, 1/5, 1/4, 351? 351 What is the biggest value in -0.4, -1/4, 1, -34? 1 What is the fourth smallest value in -5/4, -5, -1/6, -0.4? -1/6 What is the third biggest value in -2/9, -7, -1/3, -0.3, -2/3? -1/3 What is the second biggest value in 1/3, -1, 5, -44, 4? 4 Which is the smallest value? (a) 1/2 (b) 0.3 (c) 3299 b What is the second biggest value in -1/17, -33, -1? -1 What is the fourth biggest value in -3/5, 12, 6/7, 5/2? -3/5 Which is the second smallest value? (a) -15 (b) 26 (c) -0.2 c What is the second smallest value in 1/2, 1052, 1? 1 What is the second biggest value in -1, -0.4, -122? -1 What is the third smallest value in -2, 0.094, -1/3? 0.094 What is the second biggest value in 0.1, -1/4, -1.49? -1/4 Which is the fourth biggest value? (a) -0.07 (b) -4 (c) 1/2 (d) 0 (e) -2/5 e Which is the third biggest value? (a) 4 (b) -5 (c) -30 c What is the fifth smallest value in -3, 4/9, 4, -5/2, 3? 4 Which is the second biggest value? (a) -1 (b) -6 (c) -5/6 (d) 1/2 c Which is the biggest value? (a) -2/7 (b) -0.2 (c) 251 c Which is the second smallest value? (a) 3 (b) -0.038 (c) 2 c What is the s
{ "pile_set_name": "DM Mathematics" }
0440, -20426, -20386, -20308, -20180, -19990, -19726? 2*z**3 + z**2 - 3*z - 20440 What is the b'th term of 1148, 4589, 10332, 18383, 28748, 41433, 56444, 73787? b**3 + 1145*b**2 - b + 3 What is the t'th term of -267, -534, -781, -996, -1167, -1282? 2*t**3 - 2*t**2 - 275*t + 8 What is the t'th term of -6792, -6796, -6800, -6804, -6808, -6812? -4*t - 6788 What is the h'th term of 4937, 10017, 15107, 20213, 25341, 30497, 35687, 40917? h**3 - h**2 + 5076*h - 139 What is the j'th term of 170, 1636, 5680, 13592, 26662, 46180? 215*j**3 - j**2 - 36*j - 8 What is the z'th term of -233, -222, -205, -182, -153? 3*z**2 + 2*z - 238 What is the r'th term of 128, 327, 614, 989, 1452, 2003? 44*r**2 + 67*r + 17 What is the o'th term of -3293296, -3293297, -3293298, -3293299, -3293300, -3293301? -o - 3293295 What is the m'th term of 102, 139, 224, 375, 610, 947? 3*m**3 + 6*m**2 - 2*m + 95 What is the t'th term of 56, 328, 804, 1484, 2368? 102*t**2 - 34*t - 12 What is the y'th term of 1174, 1199, 1244, 1315, 1418? y**3 + 4*y**2 + 6*y + 1163 What is the i'th term of 34, 41, -36, -239, -610? -7*i**3 + 56*i - 15 What is the s'th term of 256, 782, 1860, 3766, 6776, 11166, 17212? 46*s**3 + 204*s + 6 What is the i'th term of -83, 109, 303, 499? i**2 + 189*i - 273 What is the x'th term of 8408, 8228, 8048, 7868, 7688, 7508? -180*x + 8588 What is the j'th term of 256, 1122, 2548, 4528, 7056, 10126, 13732? -j**3 + 286*j**2 + 15*j - 44 What is the r'th term of -1354, -5477, -12350, -21973, -34346? -1375*r**2 + 2*r + 19 What is the q'th term of 18372, 18542, 18722, 18918, 19136, 19382, 19662? q**3 - q**2 + 166*q + 18206 What is the c'th term of -74652, -149302, -223952, -298602, -373252? -74650*c - 2 What is the o'th term of -304, -449, -586, -715, -836, -949? 4*o**2 - 157*o - 151 What is the j'th term of 232, 416, 514, 484, 284, -128? -7*j**3 - j**2 + 236*j + 4 What is the a'th term of 1515, 3039, 4567, 6099, 7635? 2*a**2 + 1518*a - 5 What is the m'th term of -3533, -14119, -31763, -56465, -88225, -127043, -172919? -3529*m**2 + m - 5 What is the a'th term of 1406, 1389, 1372, 1355? -17*a + 1423 What is the w'th term of 87349, 87350, 87351, 87352, 87353, 87354? w + 87348 What is the c'th term of 2824, 2811, 2800, 2791, 2784? c**2 - 16*c + 2839 What is the k'th term of -154752, -309498, -464244? -154746*k - 6 What is the t'th term of -7524, -15047, -22570, -30093, -37616? -7523*t - 1 What is the u'th term of 358, 336, 314? -22*u + 380 What is the y'th term of -355033, -355037, -355041, -355045, -355049? -4*y - 355029 What is the z'th term of 292, 75, -142, -359, -576? -217*z + 509 What is the g'th term of -211, -820, -1863, -3346, -5275, -7656, -10495? -g**3 - 211*g**2 + 31*g - 30 What is the i'th term of -1992, -4247, -6760, -9531, -12560, -15847? -129*i**2 - 1868*i + 5 What is the c'th term of 119, 331, 549, 779, 1027, 1299, 1601, 1939? c**3 - 3*c**2 + 214*c - 93 What is the y'th term of 56, -59, -176, -295, -416, -539, -664? -y**2 - 112*y + 169 What is the x'th term of -11885, -23787, -35691, -47597, -59505, -71415, -83327? -x**2 - 11899*x + 15 What is the n'th term of 19, 180, 517, 1072, 1887, 3004, 4465, 6312? 7*n**3 + 46*n**2 - 26*n - 8 What is the s'th term of -105, -138, -171, -204, -237? -33*s - 72 What is the n'th term of 774, 6171, 20822, 49353, 96390, 166559, 264486? 771*n**3 + n**2 - 3*n + 5 What is the p'th term of -93, -651, -2159, -5091, -9921, -17123? -79*p**3 - p**2 - 2*p - 11 What is the r'th term of 777, 1554, 2331? 777*r What is the c'th term of 4649, 4648, 4647, 4646, 4645? -c + 4650 What is the v'th term of -40294, -161167, -362622, -644659, -1007278, -1450479, -1974262? -40291*v**2 - 3 What is the a'th term of 192, 414, 678, 984, 1332, 1722? 21*a**2 + 159*a + 12 What is the t'th term of 4140, 4738, 5336, 5934, 6532, 7130? 598*t + 3542 What is the h'th term of 5820, 23464, 52866, 94020, 146920, 211560? -h**3 + 5885*h**2 - 4*h - 60 What is the k'th term of -2922, -2923, -2924, -2925? -k - 2921 What is the v'th term of 4447, 8906, 13367, 17830? v**2 + 4456*v - 10 What is the h'th term of 912, 891, 870, 849? -21*h + 933 What is the z'th term of -202, -386, -546, -688, -818? -z**3 + 18*z**2 - 231*z + 12 What is the m'th term of 2273, 4571, 6879, 9197, 11525? 5*m**2 + 2283*m - 15 What is the f'th term of -400478, -400487, -400496? -9*f - 400469 What is the g'th term of 356, 742, 1146, 1574, 2032? g**3 + 3*g**2 + 370*g - 18 What is the z'th term of -4242, -4236, -4226, -4212, -4194? 2*z**2 - 4244 What is the u'th term of 189536, 189535, 189534? -u + 189537 What is the r'th term of -112935, -225872, -338809, -451746, -564683? -112937*r + 2 What is the k'th term of 18598, 37199, 55806, 74419, 93038, 111663, 130294? 3*k**2 + 18592*k + 3 What is the b'th term of 606951, 606957, 606963, 606969? 6*b + 606945 What is the f'th term of 175, 431, 687, 943, 1199? 256*f - 81 What is the w'th term of -588, -578, -546, -480, -368, -198? 2*w**3 - w**2 - w - 588 What is the o'th term of -353, -393, -433? -40*o - 313 What is the b'th term of -753, -1477, -2201, -2925? -724*b - 29 What is the a'th term of 157, 516, 1075, 1834, 2793, 3952? 100*a**2 + 59*a - 2 What is the x'th term of -102912, -205821, -308730, -411639? -102909*x - 3 What is the j'th term of 1199324, 2398646, 3597968, 4797290, 5996612, 7195934? 1199322*j + 2 What is the i'th term of 286523, 573043, 859563, 1146083, 1432603? 286520*i + 3 What is the q'th term of -2776, -11149, -25114, -44677, -69844, -100621, -137014? -q**3 - 2790*q**2 + 4*q + 11 What is the k'th term of -629, -668, -707? -39*k - 590 What is the t'th term of 630477, 630475, 630473, 630471, 630469? -2*t + 630479 What is the p'th term of 69, 159, 299, 513, 825? 4*p**3 + p**2 + 59*p + 5 What is the g'th term of -101515, -101521, -101527? -6*g - 101509 What is the d'th term of -3824, -3701, -3360, -2693, -1592, 51, 2344, 5395? 18*d**3 + d**2 - 6*d - 3837 What is the n'th term of -3411, -3424, -3437, -3450? -13*n - 3398 What is the f'th term of -43862, -43867, -43874, -43883, -43894, -43907, -43922? -f**2 - 2*f - 43859 What is the j'th term of 369, 612, 855, 1098, 1341, 1584? 243*j + 126 What is the o'th term of 17, 241, 873, 2123, 4201? 35*o**3 - 6*o**2 - 3*o - 9 What is the q'th term of 240, 184, 136, 102, 88, 100, 144, 226? q**3 - 2*q**2 - 57*q + 298 What is the a'th term of -1954, -2119, -2280, -2437, -2590? 2*a**2 - 171*a - 1785 What is the t'th term of -4980, -9961, -14916, -19833, -24700, -29505, -34236? 2*t**3 + t**2 - 4998*t + 15 What is the q'th term of -13872, -27417, -40962, -54507, -68052? -13545*q - 327 What is the f'th term of -52593, -52590, -52587, -52584, -52581, -52578? 3*f - 52596 What is the u'th term of -190367, -190364, -190363, -190364, -190367? -u**2 + 6*u - 190372 What is the x'th term of -81195, -162380, -243565, -324750, -405935, -487120? -81185*x - 10 What is the x'th term of 1982, 1968, 1944, 1904, 1842, 1752, 1628, 1464? -x**3 + x**2 - 10*x + 1992 What is the f'th term of 1806, 1901, 1982, 2043, 2078, 2081, 2046? -f**3 - f**2 + 105*f + 1703 What is the o'th term of -382, -3116, -10556, -25054, -48962? -392*o**3 - o**2 + 13*o - 2 What is the q'th term of -13194, -26392, -39592, -52788, -65974, -79144, -92292, -105412? q**3 - 7*q**2 - 13184*q - 4 What is the i'th term of 3542, 14088, 31654, 56234, 87822? -i**3 + 3516*i**2 + 5*i + 22 What is the n'th term of -3833, -7759, -11663, -15539, -19381? n**3 + 5*n**2 - 3948*n + 109 What is the q'th term of -1252, -2525, -3800, -5077? -q**2 - 1270*q + 19 What is the g'th term of -3538, -3540, -3542, -3544, -3546, -3548? -2*g - 3536 What is the c'th term of -801, -3200, -7201, -12804, -20009, -28816, -39225? -801*c**2 + 4*c - 4 What is the o'th term of 163, 1646, 4117, 7576, 12023? 494*o**2 + o - 332 What is the t'th term of 3008, 6027, 9046, 12065, 15084, 18103? 3019*t - 11 What is the a'th term of 1755, 6970, 15661, 27828? 1738*a**2 + a + 16 What is the b'th term of 23558, 94260, 212098, 377072? 23568*b**2 - 2*b - 8 What is the s'th term of 581, 608, 645, 698, 773? s**3 - s**2 + 23*s + 558 What is the p'th term of 190042, 760175, 1710398, 3040711, 4751114, 6841607, 9312190? 190045*p**2 - 2*p - 1 What is the r'th term of -82, -120, -152, -172, -174, -152, -100, -12? r**3 - 3*
{ "pile_set_name": "DM Mathematics" }
(-23 + (31 - 18))? 14 Evaluate -8 - (-18 + 10 + 1). -1 (-11 - (-27 + -2 + -10)) + -9 19 What is -15 + -11 + 18 + -3 - -30? 19 Calculate -7 + (-7 - (-4 + 6)) - -6 - -10. 0 What is the value of -5 - (-2 - -2 - (15 - 11))? -1 Calculate 0 + (4 - -4 - (28 + -3 + -7)). -10 Evaluate (-152 - -171) + (1 - 20). 0 What is the value of 1 + (-1 - -6) - (-4 - (1 - -3))? 14 Evaluate -9 + -18 + 50 - 21. 2 What is 22 - (10 - (0 + -6 + 10) - 0)? 16 -12 + (5 - 0) + (-91 - -73) -25 Evaluate -8 + (14 - -39) + -15. 30 Evaluate (2 - (0 - 6)) + (29 - (36 - 4)). 5 What is the value of -6 + (-5 - 8) + 16? -3 (-7 - 11 - -21) + 9 + 2 14 (12 - (24 - 6)) + -1 -7 Calculate 7 + -8 - (-7 - -9 - 2). -1 -25 - (-3 + -3 - (-18 - (15 + -27))) -25 What is 0 + -4 - (-507 + 467)? 36 What is 5 + (40 - 12) + -17? 16 Evaluate -6 + 32 + -6 - (14 - 3). 9 Evaluate -8 + 1 + -17 + 12. -12 Calculate (6 - 12 - 6) + 14. 2 What is 30 + 7 - 26 - -7? 18 Evaluate 12 - (18 + (-11 + 7 - -18)). -20 Calculate 20 - 41 - (0 + 1) - -6. -16 Evaluate -35 + (21 + -33 - -12) + (1 - 0). -34 What is -30 + -2 + 1 + (-79 - -55 - -29)? -26 -28 + (16 + 4 - -15) 7 Evaluate 19 + (-22 - -2) + 13. 12 What is 43 + -34 - (17 + 2)? -10 Calculate (-6 - (-19 - (-8 - 0))) + 16 + -24. -3 Calculate -13 - (-4 + 8) - (-6 - 2). -9 What is (-1 - (6 - 7)) + -4 + 9? 5 Evaluate 17 - ((-21 - -52) + -2). -12 Evaluate (-235 + 227 - (4 + 1)) + 0. -13 217 + -163 - (-11 + 46) 19 Calculate 13 - ((-12 - (-5 - -3)) + 11). 12 50 - (-52 + 15 + 61) 26 What is the value of (14 - (-10 - (3 + -26))) + 9? 10 What is (-37 - (-12 - 6)) + 12? -7 Evaluate 1 + (69 - 37) + -13. 20 Calculate -3 - (-8 + 19 + -11). -3 What is -1 + 18 + -42 + 31? 6 Evaluate (38 - 47) + -10 + 22. 3 What is (8 - (8 - 3)) + 8? 11 Evaluate 5 + -4 + 1 - (8 + -13 + 14). -7 -5 + (7 - 5 - (13 - 7)) -9 What is the value of (1 - -72) + -1684 + 1643? 32 (13 - (12 + -9 + 6)) + -6 -2 Calculate -6 - 9 - ((-7 - -5) + 2 + -5). -10 Calculate 18 + -2 - (165 + -151). 2 Evaluate 7 - 20 - (3 - -7). -23 Evaluate (-12 - -6) + -16 + 21. -1 Evaluate -4 + -3 + (8 - (-7 - -16)) + 5. -3 Evaluate (8 + -1 - -1) + (-234 - -227) + -7. -6 What is the value of -1 - (8 + (-22 - (1 - 3) - -7))? 4 -5 + 20 + -13 + 1 + (-9 - -2) -4 What is the value of 16 - (46 + -17) - -14? 1 Calculate -24 - -23 - (-1 - (-2 - (4 + -3))). -3 What is the value of -18 + (-7 - (-8 + -10 + 9))? -16 Evaluate 2 - -10 - 8 - (27 + 0). -23 2 - 50 - (375 - 390) -33 Calculate 12 + 5 + -5 + -10. 2 What is the value of 3 + 7 + (-36 - (-36 - 14))? 24 Evaluate 1642 + -1637 + 6 + 3 + (0 - 0). 14 What is the value of 17 - ((12 - 23) + 13)? 15 What is 0 + (4 - -13) + -28? -11 What is (54 - (-4 + 26)) + -55? -23 What is 3 + -7 - (9 - (21 + -16))? -8 What is -1 + 12 + (7 + -10 - -10) + -13? 5 What is the value of -16 + (-19 - -6) + 19 + 12? 2 What is the value of 5 + 0 - (-7 + (-3 - -1))? 14 Calculate (-9 - 14) + 12 - -9. -2 What is the value of (-31 - (19 - 6 - 24)) + -4? -24 Calculate 42 + -33 + (1 - 4). 6 What is the value of -2 + 4 + (-6 - -8) - (4 + 0)? 0 (-29 - 36) + 40 + -1 -26 (19 - -44) + -47 + 10 + -1 25 What is -4 + -12 - -6 - -12? 2 Calculate 21 - (11 - -8 - 3). 5 (-402 - -409) + (-15 - -1) -7 Calculate 2 + -37 + (-30 - -57). -8 What is the value of 13 - (-4 + 12) - 19? -14 Calculate -2 + 4 + 2 + 28 + -35. -3 Evaluate 3 + -6 - (-1 + -3 + 5) - 7. -11 -20 + 16 + -12 + 9 -7 What is 17 - (24 + -29 + (5 - 4) + -5)? 26 What is -37 + 30 + -16 - (-1 + (1 - 4))? -19 Calculate 13 - (10 + -8 + (-7 - -13)) - 12. -7 78 + -48 + (0 - 12) 18 Evaluate (1 - 0) + 8 + (22 - 33). -2 Evaluate 15 - (17 + -22 - -10). 10 Evaluate (6 - 11) + 16 + (-5 - 0) + -7. -1 Evaluate (-28 - -22) + 2 + 3 + 3 + 1. 3 What is the value of -4 + 8 + (5 - (6 - 3))? 6 -2 + 2 + 14 - 26 -12 Calculate 163 - 163 - ((-3 - -6) + -6 - 17). 20 Evaluate -8 - ((4 + -37 - 1) + 9). 17 Evaluate -5 + 6 + 9 + -4 - 32. -26 What is the value of 2 - -18 - (604 - 590)? 6 Evaluate 31 + 13 + -43 + -9. -8 What is the value of -1 + (2 + 6 - 8) + -14? -15 Evaluate -1 + (2 - -3) - (-38 + (-3 - -45)). 0 What is -9 + -8 + 22 + -4? 1 Calculate -2 + -24 + 6 + 15. -5 Evaluate 7 + (-6 + 3 + 5 - (7 + -4)). 6 What is the value of 5 + 19 + (-27 - -7)? 4 Calculate 2 + -5 + (13 + -47 - -16) + -4. -25 What is -3 - -3 - (-23 - (7 + -21)) - 9? 0 Evaluate -16 + (-20 + 9 - -2) + (-7 - 1). -33 Evaluate 24 - (30 - -34 - 36). -4 What is the value of -1 + 4 - (2 + (17 - 3 - -1))? -14 What is the value of 18 - (-3 + 7) - 5? 9 -2 - 2 - -8 - (-6 + 13) -3 (-11 + 1 - 3 - -3) + 35 + -35 -10 Evaluate -11 + (-10 - -8) - -6. -7 Calculate 7 + -8 - (-10 - (4 + -6)). 7 What is the value of (-2 + 2 - -6) + (706 - 706)? 6 What is the value of 5 + (0 + 19 - 13 - (2 + -2))? 11 What is 26 - ((-9 + 4 - 0) + 9 + -16)? 38 What is 22 + (-14 + 44 - 32)? 20 Evaluate -2 + -10 + (17 + -5 - 9). -9 Calculate (5 - 2) + (-20 - -23) + 9 + -4. 11 What is the value of 4 + -11 + 0 - (-13 + 13)? -7 What is 3 - (0 + -4 + (14 - (-6 - -23)))? 10 What is the value of -10 - (11 - (18 - -3))? 0 Evaluate -151 + 148 - ((-3 - -8) + -4 + 6). -10 What is the value of 5 + -13 + 2 - -12? 6 What is the value of 0 - 0 - 6 - (4 + -23)? 13 Calculate -1 + 13 - (-46 - -53). 5 What is the value of -1 - -2 - 3 - -4? 2 Calculate 1 + -20 + 10 + -2 + 5 + -4. -10 Evaluate -6 - 3 - (3 - (7 + 3) - -8). -10 Calculate (12 + -8 - 28) + 47. 23 Calculate (18 - 1 - 4) + -9 + -2 + 5. 7 What is the value of 15 + -6 + -8 + -1 + 7? 7 What is (4 - -2 - (6 + -13)) + -36? -23 Calculate 4 + 71 + -75 + (-4 - -2 - 16). -18 (-36 - -25) + 17 + -8 -2 Evaluate 4 - (-12 + 1 + -4 + (-4 - -14)). 9 What is the value of -2 - (56 + -59 - (6 + (0 - 1)))? 6 Calculate -492 + 517 - (-2 + 1 + 0 - -1). 25 What is the value of (4 - 2) + 0 - (5 - (4 - -13))? 14 What is the value of 0 + 3 + -38 + (33 - -6)? 4 Evaluate -1 + -2 + -7 + 9. -1 What is the value of -4 - (14 - (1 + 7 - 10 - 0))? -20 What is -2 + -1 + 6 - (60 - 66)? 9 Calculate -15 + 0 + 3 + 2 - (-10 - -8). -8 What is -40 + (0 + (4 - 8) - -13)? -31 -9 - ((6 - -1) + (-11 - -2)) -7 What is the value of 8 - ((2 - 20) + -42 + 56)? 12 (-19 - (-29 + 11)) + -4 -5 (-15 - (-30 - -28)) + -13 -26 1167 - 1237 - (-45 - -1) -26 What is the value of 1 + 1 + 12 + (47 - 35 - 11)? 15 What is 7 + 0 + (12 - (-29 - (-28 - -10)))? 30 What is the value of 14 + -6 - (4 + -7 - 6)? 17 What is -2 + -1 - (2 + 13 + -7)? -11 What is -6 - (-7 - -1 - (-13 - 0)) - -7? -6 Evaluate -12 + -9 + (18 - -10) + 2. 9 Evaluate (-2 - (-15 + -3 + -1)) + 3 + -6. 14 1 - 0 - (-5 - (2 + -4 + -5)) -1 31 + (9 + -21 - -12 - 11) 20 Calculate -59 + (13 - 32 - -42). -36 Evaluate -3 + (0 - -2 - 0) - 2. -3 What is the value of -41 - -35 - (-16 - -7)? 3 What is 4 - 2 - ((-2 - -4) + -1 - 9)? 10 What is the value of 4 - (-1 + (19 - 12) + (-2 - 8))? 8 Calculate 0 + -7 + (24 - 9). 8 What is the value of 22 - 24 - (-12 - -1)? 9 Evaluate 213 + -228 - (-1 + (1 - 3)). -12 Evaluate -6 - ((-10 - -8) + 21 + -7 + -15). -3 Calculate -78 + 79 - (-13 + (4 - 4)). 14 What is 2 + 0 + 5 - (296 - 298)? 9 (-3 - -3) + (-121 - -113) - (-1 + -2) -5 What is the value of 33 + 17 + (-55 - -2)? -3 What is the value of -3 - (12 + -18) - (-4 - (-12 - -6))? 1 -13 + 10 - (25 + -13) -15 What is (15 + 24 - 31) + (2 - -3) + 7? 20 What is the value of -7 - ((3 - 9) + 2 + -11)? 8 What is -16 + (16 - (-7 - (-1 - 16)))? -10 What is the value of -8 - -1 - (-7 + 15 + 1)? -16 Evaluate 2 + -4 + (56 - 35). 19 What is (5 + -8 - (0 + -11)) + (-32 - -30)? 6 Calculate -29 + 36 + -10 + 4 + -1. 0 What is 0 + (-1 - 1) + 13 - (-358 + 354)? 15 1 + -1 - (-30 - (-22 + -16)) -8 -12 - -27 - (-7 + (21 - 1)) 2 What is the value of 5 + (-8 - -12) + (-3 - (-4 - -6))? 4 Evaluate -21 - (-36 + 20) - -21. 16 Evaluate 1 + -2 + (-7 - (-10 + 11)). -9 What is the value of 33 + -1 - (-3 + 20)? 15 What is -113 - -152 - (12 + -5)? 32 What is the value of -1 + (5 + -2 + 0 - (7 + -2))? -3 Evaluate -29 + 41 + -17 + 18 + 1 + 1. 15 What is -5 + 8 + (-1 - (2 + (3 - 5)))? 2 What is 13 + -6 + -13 + 2? -4 What is the value of -6 - -8 - 0 - (-13 + (4 - 0))? 11 Calculate 3 - ((-3 - (-3 + -3 - -7)) + 4). 3 What is the value of (-2 - (2 - -9)) + 0 + 2? -11 10 + (-8 - 21) - (3 + 0 - 12) -10 Evaluate -3 - (-57 + 45 + (12 - 1)). -2 What is the value of -7 + -1 + (44 - 22 - 13) - -22? 23 -14 - (-16 +
{ "pile_set_name": "DM Mathematics" }
n - 2497. List the prime factors of n. 3, 7, 17 Suppose 5630 = 3*b + 4*m, 5*m = 2*b - b - 1883. What are the prime factors of b? 2, 3, 313 Let h(i) = 3*i**3 - 4*i**2 - i + 2. Let b(g) = -3*g + 19. Let d(n) = n. Let t(c) = b(c) + 4*d(c). Let r be t(-16). List the prime factors of h(r). 2, 11 Suppose 510 = 2*g - 254. Suppose -10*h + g = -188. List the prime factors of h. 3, 19 Let k be 2/(-5) - 12/20. Let z be -2 + k + 14/1. Suppose -z*u = -6*u - 345. List the prime factors of u. 3, 23 Let s = 852 + 66. List the prime factors of s. 2, 3, 17 Let y be 4/22 - (-31)/11. Suppose w = 5*i - 296, 4*w = y*i - 61 - 103. List the prime factors of i. 2, 3, 5 Suppose -9*l = -5*l + 36. What are the prime factors of (3/l)/((-3)/(-36)) + 137? 7, 19 Let k(v) = 2*v**2 + 2. Let g be k(1). What are the prime factors of 96*(g/10 + 4/40)? 2, 3 Let o(j) = 77*j + 42. List the prime factors of o(4). 2, 5, 7 Suppose -4*l + 2*q + 2018 = 0, 5*l - 118 - 2407 = 3*q. What are the prime factors of l? 2, 251 Suppose 109*c - 117*c + 7312 = 0. List the prime factors of c. 2, 457 Suppose -4*j = 172 - 20. Let d = j - -55. List the prime factors of d. 17 List the prime factors of (3 - 58872/(-55)) + (-4)/10. 29, 37 Let f = -2290 - -3412. List the prime factors of f. 2, 3, 11, 17 Suppose 0 = y - 2*y - 2. Let m(x) = -7*x**2 + 4*x + 3. Let p be m(y). List the prime factors of p/(2*(-3)/6). 3, 11 Let u(f) be the first derivative of 7*f**3 + f + 1/2*f**2 - 5. List the prime factors of u(-1). 3, 7 Let p = -205 + 721. List the prime factors of p. 2, 3, 43 Suppose -4*n - 5 = -9*n. What are the prime factors of (-926)/(-10) - ((-24)/(-15) - n)? 2, 23 Suppose o - 4*v + v - 86 = 0, 3*v + 169 = 2*o. Suppose 4*i + 297 + o = 0. Let u = i + 163. What are the prime factors of u? 2, 17 Let c(k) = -k**2 - 9*k - 14. Let u be c(-6). Suppose -2*i = -5*i + 6. Suppose b - u = i. What are the prime factors of b? 2, 3 Suppose -b = c - 5, -4*c + 13 = -b + 3. Suppose -j + b = -1. Suppose -j*v + 5*f + 53 = 0, -4*v - f = 3*f - 28. List the prime factors of v. 11 Suppose -33*l + 30*l + 2*u + 341 = 0, 453 = 4*l - 3*u. List the prime factors of l. 3, 13 List the prime factors of 6/(-2) + (-19 - -730). 2, 3, 59 Suppose 3*j - 715 = 6*s - s, -2*s + 962 = 4*j. What are the prime factors of j? 2, 3, 5 Let a(j) = 3*j**3 + 4*j**2 + 2*j - 1. Suppose 0 = x + 5*l - 4 - 14, 0 = 2*l - 8. Let z be a(x). Let t = 10 - z. What are the prime factors of t? 23 Let a be (-14)/(-6)*(3 + -9). Let s = a - 33. Let u = -26 - s. What are the prime factors of u? 3, 7 Suppose 2*p + 1572 = 8*p. What are the prime factors of p? 2, 131 Suppose -5*n - 52 = 3*o, 4*n + 48 = -0*n - 4*o. Let z(b) = b**2 + 7*b + 3. Let h be z(n). Let u = -8 + h. What are the prime factors of u? 3 Let f be 48/64 + 34/8. Suppose 0 = -f*u + 9 + 6. Suppose u*t + t = -3*d + 258, 4*t - 254 = -5*d. List the prime factors of t. 2, 3, 11 Let u be (3 + (-6)/2)/(-1). Let m(j) = -j**3 - 2*j**2 + 8*j + 9. Let f be m(-4). Suppose -f*l + 11*l - 14 = u. List the prime factors of l. 7 Let p(r) = r**3 + 11*r**2 - 6*r - 38. What are the prime factors of p(-8)? 2, 101 Suppose 0 = 48*s - 71874 - 138318. What are the prime factors of s? 29, 151 Suppose 0 = 2*j - 27 - 415. Let q = 380 - j. What are the prime factors of q? 3, 53 Let b(k) be the first derivative of k**5/60 - k**4/6 + 3*k**3/2 - 5*k**2/2 - 8. Let s(m) be the second derivative of b(m). List the prime factors of s(7). 2, 3, 5 What are the prime factors of (-1710)/(-2 + 12)*23/(-1)? 3, 19, 23 Suppose -20 = -0*i - 5*i. Suppose i*u + 4*f - 152 = 0, -6*u + u + 5*f = -140. List the prime factors of u. 3, 11 Let t(y) = y**3 + 23*y**2 + 13*y + 94. List the prime factors of t(-21). 19, 37 Suppose 0 = -5*b + 21 - 6. Suppose 0 = 5*n - 5*d, -10 = n - b*d - 4. Suppose 3*a = -5*s + 83, 0 = -n*a + 5*s + 49 + 24. What are the prime factors of a? 2, 13 Let x be 48/(-18) + (-4)/12. Let t = 47 + -17. Let i = t + x. What are the prime factors of i? 3 Suppose 16 = -7*s + 6*s. What are the prime factors of -5*(-1 + -23) - s/16? 11 Suppose 840 = -2*b + 7*b. Suppose 5*f = 3*f + b. List the prime factors of f. 2, 3, 7 Let q(n) = -n**2 - 6*n + 6. Let s be ((-6)/(-4))/((-3)/(-8)). Suppose 0 = -s*v + 3*b - 5, -3*v + 2 = -4*b - 3. List the prime factors of q(v). 11 Let h(r) = r**2 + 30*r - 28. Let j be h(-31). Suppose -g = -5*g + 8. What are the prime factors of g - -1 - (-21)/j? 2, 5 Let o(d) = 12*d**2 - 10*d - 4. List the prime factors of o(5). 2, 3, 41 Suppose -58 = 5*m + 132. List the prime factors of (15/10 + -2)*m. 19 Let z = -235 - -152. Let g = z - -147. List the prime factors of g. 2 Let x(n) = n**3 + 7*n**2 - 7*n - 6. Let r be x(-8). Let q = 13 - r. Suppose q + 6 = 3*v. List the prime factors of v. 11 Let s be (-8)/(-2) + 0/3. Let i(z) be the first derivative of z**4/4 - z**3 - 3*z**2/2 + 6*z - 179. What are the prime factors of i(s)? 2, 5 Let f = 4 - 1. Suppose -3*l + 5*t = 6 + 3, -5*l + f*t = -1. What are the prime factors of 2 - (l - 3)*6? 2 Suppose c - 4*v + 18 = 0, -2*c = -7*c + 2*v. Let a be (c/(-4))/(2/(-984)). List the prime factors of 4/(-7) - a/(-14). 17 Let t(y) = -y**3 + 6*y**2 + 8*y - 4. Suppose 2*k - 11 = -g, 2*g - 9 = -3*k + 7. Let z be 3*(14/k - 0). What are the prime factors of t(z)? 3 Let h = 9 + -350. Let l = -215 - h. What are the prime factors of l? 2, 3, 7 Suppose s + 1 = 3. Suppose -7 = s*z - 197. List the prime factors of z. 5, 19 Let c be (127 - -2)/((-4)/12). Let b = 609 + c. Suppose -h + 5*g = -66, -4*h - 2*g + g = -b. What are the prime factors of h? 2, 7 Suppose -66*g + 10950 = -41*g. List the prime factors of g. 2, 3, 73 Suppose 14 = 3*g + d, 5*d = d + 20. Suppose -g*s + 29 = u, 0*u + 4*s + 48 = 2*u. What are the prime factors of u? 2, 13 Suppose 0 = -r - 2*p + 56, -5*r - 5*p + 252 = -2*p. Suppose 0 = 3*d - r - 0. Suppose 5*g + 2 = -x, -d - 12 = -3*x + 2*g. List the prime factors of x. 2 Suppose 6*x + 796 = 10*x. Let c = x + 0. What are the prime factors of c? 199 Suppose 0 = -14*x + 12*x + 96. Suppose -3*r = -x - 51. Suppose -2*h + h = -r. List the prime factors of h. 3, 11 Suppose -w + 4*f = -2, 4*f = f + 3. Let t(n) = 7*n + 11. What are the prime factors of t(w)? 53 Let i(p) be the first derivative of -13*p**4/4 - p**3/3 + p**2/2 + 4*p - 5. What are the prime factors of i(-2)? 2, 3, 17 Let q be (-13)/(-5) - 8/(-20). Suppose -q*m = -r - 9, 0 = -2*m + 2*r + 8 - 2. Suppose -m*g + 2*d + 82 = -1, 4*d = 3*g - 85. List the prime factors of g. 3 Let x(n) = -4*n - 9. Let m = -29 + 11. Let a be x(m). Suppose 5*p - 49 = -4*o, -o + 5*p = 2*o - a. List the prime factors of o. 2 Suppose 3*t + c = 4*c + 9, -t = -2*c. Let u(i) = -2*i**2 + 13*i + 8. What are the prime factors of u(t)? 2, 7 Suppose 2067 = w + 99*j - 95*j, w - 2031 = 5*j. List the prime factors of w. 7, 293 Let b = -178 + 183. Let o = 3 - 1. Let i = b - o. What are the prime factors of i? 3 Suppose q = 4*w - 96 - 94, 2*q + 140 = 3*w. Suppose w = 3*h + 2*x, -3*h + 3*x + 34 = -29. What are the prime factors of h? 2, 3 Let x = -971 - -4425. What are the prime factors of x? 2, 11, 157 Suppose 2*z - 2*p = 528, -z = 4*z - p - 1328. What are the prime factors of z? 2, 7, 19 Let r(t) = t**3 + 5*t**2 + 2*t - 5. Let w be r(-4). Suppose n = -3*c - 2*n + 510, -516 = -3*c + w*n. What are the prime factors of 272/9 + (-38)/c? 2, 3, 5 Let t(p) = -p**2 - 71*p + 31. What are the prime factors of t(-42)? 1249 Let w(f) = f**3 - 2*f**2 + 472. List the prime factors of w(0). 2, 59 Let r(l) = l**2 - 3*l - 2. Let k be r(5). Let z = 21 - k. Let t = 38 - z. List the prime factors of t. 5 Suppose 0 = 72*t - 7053 - 18435. List the prime factors of t. 2, 3, 59 Suppose -1 = -5*u - 6. Let v = 17 - u. List the prime factors of v. 2, 3 Suppose z - 4 = 0, 3*w - 4*z = 2*w + 31. Let d = -35 + w. List the prime factors of d. 2, 3 Let a(v) = 157*v**2 + 11*v - 92. What are the prime factors of a(-6)? 2, 41, 67 Let q(i) = -6*i**3 - 15*i**2 + 7*i - 27. What are the prime factors of q(-8)? 2029 Suppose 3*k - 457 = -157. Let x = k + 67. List the prime factors of x. 167 Suppose -5*k - 61 = -b + 36, 4*k - 3*b = -71. What are the prime factors of (16/20)/((-1)/k)? 2 What are the prime factors of 6*45647/168 - 1/4? 2, 5, 163 Let r = 15 - 13. Suppose 2*i - r*z = -3*i + 16, 2*i + 2*z + 2 = 0. Suppose 111 =
{ "pile_set_name": "DM Mathematics" }
: -451, -963, -1473, -1981, -2487, -2991, -3493? -3993 What comes next: -54, -139, -224, -309? -394 What is next in 15, 50, 145, 330, 635, 1090, 1725, 2570? 3655 What is next in 59, 121, 183? 245 What is next in -31, -125, -283, -505, -791, -1141, -1555? -2033 What is the next term in -1409, -2795, -4181, -5567, -6953, -8339? -9725 What comes next: 220, 442, 666, 892, 1120, 1350? 1582 What is next in 25, 45, 53, 43, 9, -55, -155, -297? -487 What is next in 16, 49, 106, 193, 316, 481, 694? 961 What comes next: 6128, 6132, 6136? 6140 What comes next: 1, -20, -57, -110? -179 What is next in 16, 30, 52, 88, 144? 226 What is next in -3, 7, 25, 51, 85, 127, 177? 235 What is next in 118, 261, 404, 547, 690, 833? 976 What is next in 89, 95, 101, 107, 113? 119 What is the next term in 542, 1083, 1624, 2165? 2706 What comes next: 18104, 18106, 18110, 18116, 18124, 18134, 18146? 18160 What comes next: 52, 95, 124, 133, 116, 67, -20, -151? -332 What comes next: -39, -31, -17, 3, 29, 61, 99? 143 What is next in -48, -45, -30, 3, 60, 147, 270? 435 What is next in -7339, -7336, -7333, -7330, -7327? -7324 What comes next: 19, 87, 201, 361, 567, 819? 1117 What is next in 192, 344, 486, 612, 716, 792, 834, 836? 792 What is next in 208, 170, 122, 58, -28, -142? -290 What comes next: 17, 28, 35, 38? 37 What comes next: -115, -231, -347? -463 What is the next term in 19, 32, 69, 142, 263, 444, 697, 1034? 1467 What is next in 1298, 1299, 1302, 1307, 1314? 1323 What is the next term in -841, -858, -901, -982, -1113? -1306 What comes next: 48, 65, 100, 159, 248? 373 What comes next: -80, -141, -196, -251, -312, -385, -476, -591? -736 What comes next: -1085, -2168, -3251, -4334, -5417, -6500? -7583 What is the next term in 119, 243, 369, 497, 627, 759, 893? 1029 What is the next term in 438, 432, 426, 420, 414, 408? 402 What is next in -7, 4, 13, 20, 25, 28, 29? 28 What comes next: -195, -388, -577, -762, -943, -1120, -1293? -1462 What is next in -35, -60, -103, -164, -243, -340, -455? -588 What comes next: 15, 39, 91, 183, 327, 535? 819 What is next in 1574, 1562, 1536, 1490, 1418, 1314? 1172 What is next in -14, -19, -18, -11, 2? 21 What comes next: 250, 498, 746, 994, 1242? 1490 What is next in -57, -118, -179? -240 What is next in -29, -48, -43, -2, 87, 236, 457? 762 What comes next: 635, 632, 627, 620, 611, 600, 587? 572 What is next in -41, -173, -517, -1175, -2249, -3841? -6053 What is the next term in -871, -870, -869, -868, -867? -866 What is the next term in -205, -222, -251, -292, -345? -410 What comes next: -88, -175, -258, -337, -412, -483, -550? -613 What is the next term in 223, 202, 163, 100, 7, -122? -293 What is the next term in -123, -98, -57, 0? 73 What is next in -1, 0, 3, 8, 15, 24, 35? 48 What is next in -544, -1088, -1632? -2176 What is the next term in -28, -34, -44, -58, -76, -98, -124? -154 What comes next: 10, 8, 6, 4? 2 What comes next: 161, 320, 485, 662, 857, 1076, 1325? 1610 What comes next: 23, 25, 27? 29 What is next in -333, -634, -935, -1236, -1537? -1838 What is the next term in -91, -105, -109, -97, -63, -1? 95 What is next in 89, 119, 145, 167, 185? 199 What is the next term in 98, 112, 128, 146, 166, 188, 212? 238 What comes next: -269, -539, -809, -1079, -1349? -1619 What comes next: 38, 45, 54, 65, 78, 93? 110 What is next in -63, -61, -57, -51, -43, -33, -21? -7 What is next in -330, -338, -348, -360, -374, -390, -408? -428 What is next in 36, 67, 96, 123, 148, 171? 192 What is next in -31, 159, 475, 917, 1485, 2179? 2999 What comes next: -68, -79, -92, -107, -124? -143 What comes next: -16, -39, -64, -91, -120? -151 What comes next: 38, 112, 238, 416, 646, 928, 1262? 1648 What comes next: 0, 19, 58, 123, 220, 355, 534, 763? 1048 What is the next term in -181, -498, -829, -1180, -1557? -1966 What is next in 15, 20, 29, 42, 59? 80 What comes next: 13, -48, -209, -518, -1023? -1772 What is next in 592, 599, 620, 661, 728, 827, 964, 1145? 1376 What comes next: -100, -92, -88, -94, -116, -160, -232, -338? -484 What is next in -21, -39, -79, -153, -273, -451, -699? -1029 What comes next: -228, -218, -198, -162, -104, -18, 102? 262 What is the next term in -148, -153, -160, -169? -180 What comes next: 32, 122, 272, 482? 752 What is next in 50, 205, 624, 1439, 2782? 4785 What is the next term in -23, -41, -61, -83, -107, -133, -161? -191 What comes next: 17, 33, 45, 53? 57 What is the next term in 20, 49, 88, 143, 220, 325? 464 What is the next term in -1797, -3601, -5405, -7209? -9013 What comes next: -26, -39, -62, -101, -162? -251 What is the next term in 85, 170, 243, 298, 329, 330, 295, 218? 93 What is next in -377, -388, -415, -464, -541, -652? -803 What is the next term in -11, -36, -77, -134, -207? -296 What is next in -75, -149, -223? -297 What is the next term in -47, -45, -43? -41 What is the next term in -416, -824, -1218, -1592, -1940? -2256 What is next in -3, -3, -1, 3? 9 What is next in -115, -113, -111? -109 What is the next term in 44, 72, 78, 50, -24, -156? -358 What is the next term in 106, 104, 102, 100? 98 What is the next term in -13, -23, -31, -37? -41 What comes next: -1, -4, -5, -4, -1, 4, 11? 20 What comes next: 96, 104, 114, 126? 140 What is next in 145, 549, 1231, 2197, 3453, 5005, 6859? 9021 What is next in -444, -885, -1326, -1767, -2208? -2649 What is next in 34, 32, 28, 22? 14 What comes next: -260, -256, -252? -248 What comes next: -173, -175, -177, -179? -181 What is the next term in 35, 39, 57, 95, 159, 255, 389? 567 What is next in -883, -1761, -2639? -3517 What comes next: -41, -43, -45, -47? -49 What is the next term in 24, 209, 404, 615, 848, 1109, 1404, 1739? 2120 What is the next term in 46, 38, 32, 28? 26 What is next in -36, -90, -180, -312, -492, -726, -1020, -1380? -1812 What is the next term in -2306, -2306, -2308, -2312, -2318? -2326 What comes next: 244, 998, 2260, 4036, 6332, 9154, 12508, 16400? 20836 What is the next term in -14, 9, 40, 73, 102, 121, 124? 105 What is next in -118, -121, -128, -139, -154, -173? -196 What is the next term in 178, 357, 536, 715, 894, 1073? 1252 What comes next: -2655, -2660, -2669, -2682, -2699, -2720? -2745 What comes next: -13, -44, -133, -310, -605? -1048 What is next in -39, -85, -131, -177, -223? -269 What comes next: 23, 10, -29, -106, -233? -422 What is the next term in 6, 22, 72, 174, 346, 606, 972? 1462 What comes next: 17, 47, 97, 167, 257, 367, 497? 647 What is next in -6, -7, -6, -3, 2? 9 What comes next: 26, 38, 48, 56, 62? 66 What comes next: -17, -13, -9, -5, -1? 3 What is next in -221, -209, -197, -185, -173, -161? -149 What is next in 1977, 1970, 1955, 1926, 1877? 1802 What is the next term in -455, -468, -491, -524, -567, -620, -683? -756 What comes next: 5370, 5372, 5376, 5382? 5390 What is the next term in 87, 110, 145, 198, 275? 382 What comes next: 28, 72, 102, 112, 96, 48? -38 What is the next term in -108, -213, -292, -333, -324, -253, -108, 123? 452 What is next in -101, -148, -197, -248, -301, -356? -413 What comes next: -2272, -2263, -2240, -2197, -2128, -2027? -1888 What is next in -26, -302, -1060, -2540, -4982, -8626? -13712 What comes next: 3227, 3227, 3229, 3233, 3239, 3247, 3257? 3269 What comes next: 138, 145, 152? 159 What comes next: 3406, 3404, 3402, 3400? 3398 What comes next: -45, -39, -29, -15, 3? 25 What is next in -1618, -3242, -4868, -6496? -8126 What comes next: -2161, -2149, -2125, -2083, -2017, -1921? -1789 What comes next: -5, -28, -63, -116, -193, -300? -443 What comes next: -424, -410, -382, -334, -260? -154 What comes next: 416, 834, 1252, 1670, 2088? 2506 What is the next term in -73, -71, -67, -61? -53 What is next in 9712, 19422, 29132, 38842, 48552, 58262? 67972 What is the next term in 43, 196, 445, 784, 1207, 1708, 2281, 2920? 3619 What comes next: 118, 116, 114, 112? 110 What is next in 75, 72, 69, 66? 63 What comes next: 12, -10, -58, -144, -280, -478, -750, -1108? -1564 What is the next term in -1637, -1604, -1545, -1454, -1325, -1152? -929 What is the next term in 3, -4, -5, 6, 35, 88? 171 What comes next: -295, -592, -889, -1186, -1483, -1780? -2077 What is next in 20, 1, -30, -73, -128, -195, -274? -365 What is next in 156, 130, 108, 90, 76, 66, 60? 58 What is next in -83, -161, -239, -
{ "pile_set_name": "DM Mathematics" }
2*p + 13 What is the y'th term of -136608891, -136608890, -136608889, -136608888, -136608887, -136608886? y - 136608892 What is the m'th term of -43813, -87705, -131591, -175471, -219345, -263213? 3*m**2 - 43901*m + 85 What is the g'th term of 70, -442, -978, -1538, -2122, -2730, -3362? -12*g**2 - 476*g + 558 What is the r'th term of -1722037, -3444089, -5166141, -6888193? -1722052*r + 15 What is the f'th term of -834405, -834114, -833823, -833532? 291*f - 834696 What is the t'th term of 194623, 778490, 1751609, 3113986, 4865627, 7006538? t**3 + 194620*t**2 + 2 What is the f'th term of 1281200408, 1281200407, 1281200406? -f + 1281200409 What is the s'th term of -5345, -43370, -146557, -347486, -678737, -1172890? -5430*s**3 - s**2 - 12*s + 98 What is the w'th term of -4735557, -9471112, -14206667, -18942222, -23677777, -28413332? -4735555*w - 2 What is the d'th term of 103454, 103220, 102986, 102752, 102518? -234*d + 103688 What is the r'th term of -8574, -8891, -9134, -9267, -9254? 6*r**3 + r**2 - 362*r - 8219 What is the o'th term of -1435819, -2871435, -4307049, -5742661, -7178271, -8613879, -10049485? o**2 - 1435619*o - 201 What is the i'th term of 7724429, 30897730, 69519901, 123590942, 193110853, 278079634? 7724435*i**2 - 4*i - 2 What is the c'th term of -28138, -53930, -79722, -105514, -131306? -25792*c - 2346 What is the t'th term of -109210802, -218421604, -327632406, -436843208? -109210802*t What is the n'th term of 21368, 85207, 191594, 340523, 531988? -n**3 + 21280*n**2 + 6*n + 83 What is the p'th term of -8120759, -16241511, -24362263, -32483015? -8120752*p - 7 What is the t'th term of 89959, 179913, 269867? 89954*t + 5 What is the o'th term of 1640, 3474, 5532, 7856, 10488, 13470? 7*o**3 + 70*o**2 + 1575*o - 12 What is the y'th term of 55126, 55153, 55180, 55207, 55234, 55261? 27*y + 55099 What is the h'th term of 698, 1756, 3710, 6716, 10930, 16508? 26*h**3 + 292*h**2 + 380 What is the u'th term of -9614052, -19228080, -28842108? -9614028*u - 24 What is the a'th term of 10547, 21210, 31873, 42536? 10663*a - 116 What is the m'th term of -51063, -51057, -51043, -51021, -50991, -50953, -50907? 4*m**2 - 6*m - 51061 What is the i'th term of -3165, -12686, -28567, -50808, -79409, -114370, -155691? -3180*i**2 + 19*i - 4 What is the h'th term of 1862, 6268, 10674, 15080? 4406*h - 2544 What is the s'th term of 690, -368, -3216, -8742, -17834, -31380, -50268, -75386? -148*s**3 - 7*s**2 - s + 846 What is the q'th term of -150695, -301346, -451997, -602648, -753299? -150651*q - 44 What is the i'th term of -161013, -161027, -161041, -161055, -161069? -14*i - 160999 What is the k'th term of 24345093, 97380365, 219105819, 389521455, 608627273, 876423273, 1192909455? 24345091*k**2 - k + 3 What is the b'th term of -264143, -528250, -792357? -264107*b - 36 What is the s'th term of -31994, -64057, -96120, -128183, -160246? -32063*s + 69 What is the h'th term of -19621, -14664, -9707? 4957*h - 24578 What is the w'th term of -4723, -6418, -8113? -1695*w - 3028 What is the h'th term of -215, 711, 2261, 4435, 7233? 312*h**2 - 10*h - 517 What is the g'th term of -200371, -200317, -200177, -199909, -199471? 7*g**3 + g**2 + 2*g - 200381 What is the y'th term of 17571, 23252, 28933? 5681*y + 11890 What is the k'th term of 76784, 153684, 230584, 307484, 384384, 461284? 76900*k - 116 What is the v'th term of 4420798, 4420802, 4420808, 4420816, 4420826, 4420838? v**2 + v + 4420796 What is the f'th term of 2138, 8638, 19686, 35474, 56194, 82038, 113198, 149866? 32*f**3 + 2082*f**2 + 30*f - 6 What is the j'th term of 10228583, 10228612, 10228641, 10228670, 10228699? 29*j + 10228554 What is the f'th term of 493337, 986640, 1479899, 1973114, 2466285, 2959412? -22*f**2 + 493369*f - 10 What is the v'th term of 4998667, 4998162, 4997321, 4996144, 4994631? -168*v**2 - v + 4998836 What is the o'th term of -6639, -9040, -11443, -13848, -16255, -18664, -21075? -o**2 - 2398*o - 4240 What is the s'th term of 2484, 7952, 17074, 29850, 46280, 66364, 90102? 1827*s**2 - 13*s + 670 What is the r'th term of 1206599, 1206494, 1206389, 1206284, 1206179? -105*r + 1206704 What is the n'th term of 23065, 31213, 44791, 63799, 88237, 118105, 153403? 2715*n**2 + 3*n + 20347 What is the d'th term of 73170, 145977, 218784? 72807*d + 363 What is the k'th term of 41434, 81622, 121810, 161998, 202186, 242374? 40188*k + 1246 What is the f'th term of -13664, 4948, 23560? 18612*f - 32276 What is the h'th term of 2381, 10445, 23949, 42947, 67493, 97641, 133445, 174959? 9*h**3 + 2666*h**2 + 3*h - 297 What is the m'th term of 310, 391, 556, 859, 1354, 2095, 3136? 9*m**3 - 12*m**2 + 54*m + 259 What is the j'th term of -5115, -5995, -6857, -7701, -8527? 9*j**2 - 907*j - 4217 What is the g'th term of 649824, 649827, 649830, 649833? 3*g + 649821 What is the c'th term of 36689, 35474, 34251, 33020, 31781? -4*c**2 - 1203*c + 37896 What is the q'th term of 2998180, 2998183, 2998186, 2998189, 2998192? 3*q + 2998177 What is the s'th term of -25193, -100759, -226673, -402911, -629449? 4*s**3 - 25198*s**2 + 1 What is the p'th term of 14185784, 14185792, 14185800, 14185808, 14185816? 8*p + 14185776 What is the g'th term of 16832, 16504, 15952, 15176, 14176, 12952? -112*g**2 + 8*g + 16936 What is the z'th term of -1390282, -1390171, -1390060? 111*z - 1390393 What is the i'th term of -503, -1042, -1573, -2096, -2611? 4*i**2 - 551*i + 44 What is the i'th term of -663, -1061, -1195, -939, -167, 1247, 3429? 21*i**3 + 6*i**2 - 563*i - 127 What is the l'th term of 567060, 1134179, 1701298, 2268417, 2835536, 3402655? 567119*l - 59 What is the k'th term of -23676, -47227, -70626, -93873? 76*k**2 - 23779*k + 27 What is the y'th term of 2915, 4515, 6115, 7715, 9315? 1600*y + 1315 What is the q'th term of 16967, 16965, 16963, 16961, 16959, 16957? -2*q + 16969 What is the v'th term of 186380, 186439, 186498, 186557, 186616? 59*v + 186321 What is the b'th term of -896682, -1793362, -2690042, -3586722, -4483402, -5380082? -896680*b - 2 What is the c'th term of -86275645, -86275641, -86275637, -86275633? 4*c - 86275649 What is the u'th term of -13631, -27168, -40613, -53966? 46*u**2 - 13675*u - 2 What is the u'th term of 101868, 407451, 916752, 1629771? 101859*u**2 + 6*u + 3 What is the h'th term of -3833, -3393, -2953, -2513? 440*h - 4273 What is the a'th term of -9867, -19309, -28313, -36873, -44983, -52637, -59829? a**3 + 213*a**2 - 10088*a + 7 What is the u'th term of 59055, 237549, 535047, 951555, 1487079, 2141625, 2915199, 3807807? u**3 + 59496*u**2 - u - 441 What is the a'th term of -2384712, -2384705, -2384698, -2384691, -2384684, -2384677? 7*a - 2384719 What is the s'th term of 5312, 10590, 15832, 21038? -18*s**2 + 5332*s - 2 What is the x'th term of 307, 2306, 7675, 18076, 35171, 60622? 277*x**3 + 23*x**2 - 9*x + 16 What is the v'th term of 1617, 2379, 3033, 3573, 3993? -v**3 - 48*v**2 + 913*v + 753 What is the i'th term of 16099, 31979, 47861, 63745, 79631, 95519? i**2 + 15877*i + 221 What is the g'th term of -2202923, -4405831, -6608725, -8811605, -11014471, -13217323? 7*g**2 - 2202929*g - 1 What is the g'th term of 8374250, 8374268, 8374292, 8374316, 8374334, 8374340, 8374328? -g**3 + 9*g**2 - 2*g + 8374244 What is the j'th term of 361189, 722391, 1083593, 1444795, 1805997, 2167199? 361202*j - 13 What is the t'th term of 2933, 3387, 4151, 5231, 6633? t**3 + 149*t**2 + 2783 What is the r'th term of 21113, 18859, 16605, 14351, 12097? -2254*r + 23367 What is the t'th term of 4799, 9048, 13295, 17540, 21783? -t**2 + 4252*t + 548 What is the q'th term of -4772, -4738, -4688, -4628, -4564, -4502? -q**3 + 14*q**2 - q - 4784 What is the f'th term of -685865, -685938, -686011, -686084? -73*f - 685792 What is the m'th term of 1258737, 2517480, 3776223, 5034966, 6293709, 7552452? 1258743*m - 6 What is the v'th term of 38984, 18484, -2016, -22516, -43016? -20500*v + 59484 What is the o'th term of 25715371, 51430744, 77146111, 102861472? -3*o**2 + 25715382*o - 8 What is the p'th term of -12303, -49464, -111407, -198138, -309663, -445988? -p**3 - 12385*p**2 + p + 82 What is the v'th term of -723, -7326, -19809, -38172? -2940*v**2 + 2217*v What is the u'th term of -4120981, -8241963, -12362945, -16483927, -20604909, -247
{ "pile_set_name": "DM Mathematics" }
st to m in r, -0.5, 3? -0.5 Let w = 1 + 1. Let u = -519 + 4670/9. Which is the nearest to 0.3? (a) w (b) -5 (c) u c Suppose -3*x + 8*x = 0. Suppose -4*s = -3*s + 4*q + 11, x = 4*s + 5*q. Which is the nearest to -1/4? (a) -1/2 (b) s (c) 5/2 a Let v = -0.092 + -73.708. Let f = 74 + v. Which is the closest to f? (a) 1 (b) 3 (c) 2/7 c Let o = -35 - -46. Let t = -10.9 + o. What is the closest to t in 5, 0, 1? 0 Let r = -718/45 - -236/15. What is the closest to -2/25 in r, -1/7, 5? -1/7 Let g = 69.9 + -66. Let i = g + -5.9. Which is the closest to -1/3? (a) i (b) -2/3 (c) 4 b Suppose 4*d - 5 = 3. Let v = 345 - 345.6. Which is the closest to v? (a) 4 (b) d (c) -0.1 c Let q(t) = -4*t**3 - 3*t**2 + 1. Let x be q(-1). Which is the closest to x? (a) 5/3 (b) -1/5 (c) 4 a Let k = -0.709 + 0.609. What is the closest to -0.1 in 131, k, 5, -5? k Let b = -82.57 + 82. Let o = -3.57 - b. What is the closest to o in 0, 1, -0.5? -0.5 Let n(r) = -5*r**2 - 12*r - 5. Let i be n(-2). Let q = 3 - 2.9. Which is the closest to q? (a) i (b) 2/3 (c) -8/9 b Let z be 0 + (4/6)/1. Let t be (-2)/12*18/4. Let c = 0.3665 + -0.0665. What is the nearest to z in c, 0.2, t? c Let o = -14.9 - -15.4. What is the nearest to -2/11 in 3, o, 0.1? 0.1 Suppose h = 3*h - 54. Let w be 4/(-6)*h/(-36). Suppose m - 5 = 3*m - 3*v, 4*m = 4*v - 4. Which is the nearest to m? (a) 3 (b) 6/5 (c) w b Let m = -0.07 + 1.07. What is the nearest to -1 in m, 4, 17? m Let p = 0.541 + 0.459. Let v = 3 + -5. What is the nearest to p in 6/11, 0.1, v? 6/11 Let i = -32.3 - -32. Let w be 24/(-13) + -2 + 4 + 0. Which is the nearest to 0? (a) i (b) w (c) -3 b Suppose 2*j + 0*j - 5*q - 23 = 0, -j - q + 1 = 0. Let v(n) = n**3 + 4*n**2 - 4*n - 1. Let k be v(-4). Suppose j*p + k = -p. What is the nearest to p in 1, 5, 3? 1 Let o = 89912990 - 931948142762/10365. Let t = o + 2/691. Let n = 47/56 - 9/8. What is the nearest to n in 0.2, t, -0.3? -0.3 Let y be (-1)/2 - 125/(-2). Let x = y + -188/3. Let j be 2/(-55)*-5 - 212/(-44). What is the closest to 0.1 in x, -2/13, j? -2/13 Suppose h - 3*h + p - 433 = 0, -867 = 4*h - p. Let k be (6/(-21))/(12/h). Let r = -16/3 + k. Which is the nearest to r? (a) -0.3 (b) -4 (c) -0.1 c Let r(u) = -u + 8. Let p be r(12). Let y = 3 + p. Which is the nearest to 2? (a) y (b) 0.3 (c) 3 c Let k(n) = -n**3 - 2*n**2. Let g be k(-1). Let p = -0.04 - 0.06. What is the nearest to p in -2/5, -0.3, g? -0.3 Let m = 0.022 + 0.178. Which is the closest to m? (a) -0.5 (b) 5 (c) -0.2 (d) -1 c Suppose 6 = -12*j + 6*j. Let z = -1.9 + 1.8. What is the nearest to z in 1/5, 0, j? 0 Let i be (-143)/78 - (-2)/(-12). Which is the closest to i? (a) -5 (b) -4 (c) 3/2 b Let d = 0.1 - 0.1. Let h be 1 + (16/(-24))/(10/6). Which is the nearest to 0? (a) h (b) 2 (c) d c Suppose -n = 3*n. Let v = n - 4. Let y = -0.1215 - 0.0785. Which is the closest to 8? (a) 1 (b) y (c) v a Let x = 2 + 2. Let v = 0.8 + -0.3. Let k = -6 - -6. Which is the closest to k? (a) x (b) -2/3 (c) v c Let x = 1.9 + -0.9. Let w = 2/417 - 2516/2919. Which is the closest to -1/3? (a) 5 (b) w (c) x b Let u = -7/53 + -29/583. What is the closest to u in 2, 5, -14? 2 Let o = -2432/3657 + -2/1219. Which is the nearest to o? (a) -2/11 (b) 1/4 (c) 0.3 (d) 0.02 a Let f(q) = -q**3 - 10*q**2 - 5*q + 12. Let d be f(-9). Let y = d - -28. Which is the closest to 0? (a) y (b) -9 (c) 3 c Let k be ((-1)/(-4)*2)/1. Let x = -0.7 - -0.8. Let v be 5/15*9/15. Which is the closest to x? (a) v (b) -1 (c) k a Let v = -27 + 77/3. Which is the closest to -1? (a) v (b) -5 (c) -0.03 (d) 0.1 a Let h be -524*7/(-532) + -3 - 4. Let j be (-5)/7 + 2/(-7). What is the closest to j in h, -0.1, -4? h Let g = 0.39 - 0.382. What is the closest to -1 in g, -3, -0.2? -0.2 Let n = 0.114 + -0.214. What is the nearest to -1/2 in -1/5, n, -3, -5? -1/5 Suppose -p = 3*p + 12. Let z = -104.2 + 99.2. What is the nearest to p in 4, -0.5, z? z Let p(w) = w - 9. Let g be p(7). What is the nearest to -1 in g, 0.2, -1? -1 Let f = 0.0982 + -41.9982. Let i = -42 - f. Let q = 3.9 - -0.1. Which is the closest to i? (a) q (b) 0.3 (c) -3 b Let n be (4/3 - (-103)/(-75))*-3. Which is the closest to -1? (a) 1/3 (b) n (c) 0 (d) -2/17 d Let q = -0.05 + 0.45. Let v = q + -1.4. What is the closest to v in 2/9, 2/3, 0.2? 0.2 Suppose -17 = -14*q - 73. Let h = 6.2 - 6. Which is the nearest to 1? (a) -0.05 (b) h (c) q b Let l be (2/(-6))/(2/6). Let v = 153/2542 - -3/82. Let n = v + -114/217. What is the nearest to -1/2 in n, l, -3? n Let n = 326 - 327. What is the closest to 0 in -0.4, n, -0.2, 2/21? 2/21 Let h be 3/12*-2*6. Let c be (2 + h/(-3))/(9/(-2)). What is the closest to -1 in -5, -4, c? c Let o = -0.2301 - -0.3301. Let s = 36/55 - 5/11. What is the nearest to o in 2/9, s, -1? s Let j = 4927 - 4927.4. Let v = -40 + 121/3. Let x = 0.34 + -0.04. Which is the nearest to v? (a) x (b) j (c) 4 a Let p = 1.35 - 0.85. Let k = -0.4 - -5.4. Let x = 4.9 - k. What is the nearest to x in p, 3, 2/3? p Let y = 1174 - 1179. What is the closest to y in -5, 1/7, -7? -5 Let y = 0.49 - 0.19. Let i be (1/2)/((-25)/(-20)). Let r = 0.12 + -0.52. Which is the closest to i? (a) y (b) r (c) 0.2 a Let f = 0.079 + -0.479. What is the closest to 0 in -2, 0.046, f? 0.046 Let g be 1/(-6)*-14 - (0 + 3). Let k = 0.26 + -0.08. Let i = -4.18 + k. What is the nearest to 0.2 in -3, g, i? g Let u = -8.3 + 6.3. Which is the closest to 0? (a) -0.3 (b) u (c) -25/9 a Let s = -4441/3 + 1480. What is the nearest to s in 367, -0.5, -2/5, 3? -2/5 Let o = 23 + -30. Let d = -6.3 + -1.2. Let y = d - o. What is the nearest to 0 in y, -4, 2? y Let x = -23.2 - -27.16. Let v = 0.16 + -0.2. Let f = x - v. Which is the closest to 3? (a) -1/5 (b) f (c) 0.4 b Let z = -0.077 + -83.923. Let p = z + 81. Which is the nearest to -0.13? (a) 5 (b) p (c) 2 c Let h = 0.255 - 0.155. Let o = 11 + -11. What is the nearest to o in h, -1, 2? h Let h = 0.2737 - -0.1263. Which is the closest to -0.1? (a) -0.3 (b) -1.9 (c) h (d) 0 d Let o(a) = a**2 + 3*a + 2. Let i be o(-2). What is the closest to i in 3, 0.3, 0.1? 0.1 Let w = 9 + -12.6. Let u = -0.6 - w. Let m = 129/8 - 1693/104. What is the closest to 0 in u, m, -0.3? m Let f = -57 - -51. Suppose 7*l + 189 = 203. What is the nearest to 1 in f, l, 3/2? 3/2 Let j = 0.706 - -0.294. Which is the nearest to 0.1? (a) -3 (b) j (c) -0.1 c Suppose -5*t - 1 - 4 = 0. Let a(b) = b**2 - b - 1. Let l be a(t). Let f be 3 - (l/2 - -2). What is the nearest to f in 0, 3, 0.3? 0.3 Let f be (4/(-60))/((-24)/(-80)). What is the nearest to 2 in 0.5, f, 1/6? 0.5 Suppose 18*v = 13*v + 15. Suppose -5*t - 15 = -2*t, s = -v*t - 11. Which is the closest to s? (a) 1/2 (b) -0.02 (c) -1/5 a Let i be ((-4)/100)/(12/(-130)). Let j = -1/15 - i. Which is the closest to j? (a) -0.4 (b) 3/2 (c) 2/9 a Let p = -1387 + 1363. What is the nearest to 0 in p, -0.2, 1/4? -0.2 Let j(x) = -x**2 - 32*x - 34. Let p be j(-31). Which is the nearest to 1/4? (a) 42 (b) p (c) -1 c Suppose -3*h + 2*x = 16, -5*h - 12 = -2*x + 6*x. What is the closest to -1 in h, -3, 0.07? 0.07 Let x be (284/(-355))/(-1 - 12/(-10)). Which is the nearest to -0.1? (a) -0.35 (b) 4 (c) x a Let c = 768 + -791. What is the closest to c in -1, 0, 4/9? -1 Let m = -1246 + 1065. What is the nearest to -0.2 in 0.1, 2, m? 0.1 Let g = -1693 + 1697. What is the closest to -0.1 in g, -1/16, 3? -1/16 Suppose -11 - 13 = -4*s. Let l = s + -3. Let m = 54.5 - 57.5. Which is the nearest to m? (a) 0.5 (b) -0.3 (c) l b Let k = 404.1 + -404. Which is the closest to k? (a) -3/8 (b) 2/11 (c) 2 b Let r = -2079 - -2077. What is the closest to r in 4, 3/5, -38, -0.1? -0.1 Suppose -2*o + 6*o + h = 11, 0 = -5*o - 2*h + 13. Let b = -704 + 706. What is the closest to o in b, -2/17, 4/5? b Suppose -42*p = -38*p - 4. Let g = -1.2 + 1. Which is the closest to g? (a) p (b) -1/3 (c) 0.5 b Let x = 0.076 - -0.024. Which is the closest to 2? (a) -1 (b) 4 (c) x c Let l = 21 - 21.08. Let v = l - 4.92. What is the closest to -2 in -4, v, 0.02? -4 Let h = -4047.29 + 4009. Let l = h - -38. Let r = l - 0.71. Which is the nearest to r? (a) 1 (b) 4 (c) -0.5 c Let v = -327 - -326. Suppose 5*s + 2*n = -38, 0 = -s + 2*n - 5*n -
{ "pile_set_name": "DM Mathematics" }
hat is 289 minutes before 4:01 PM? 11:12 AM What is 223 minutes after 1:15 AM? 4:58 AM What is 127 minutes before 8:09 PM? 6:02 PM What is 69 minutes before 1:08 AM? 11:59 PM How many minutes are there between 11:36 AM and 10:39 PM? 663 What is 142 minutes after 1:28 PM? 3:50 PM What is 303 minutes before 5:06 AM? 12:03 AM What is 170 minutes after 6:17 AM? 9:07 AM What is 181 minutes after 10:55 PM? 1:56 AM How many minutes are there between 5:33 PM and 8:50 PM? 197 What is 597 minutes after 6:42 PM? 4:39 AM What is 535 minutes after 11:25 AM? 8:20 PM How many minutes are there between 8:18 AM and 6:00 PM? 582 What is 443 minutes before 12:09 AM? 4:46 PM How many minutes are there between 9:11 AM and 4:35 PM? 444 How many minutes are there between 1:57 AM and 12:36 PM? 639 How many minutes are there between 1:54 AM and 5:54 AM? 240 What is 474 minutes before 8:46 PM? 12:52 PM What is 325 minutes before 5:43 AM? 12:18 AM How many minutes are there between 5:07 AM and 2:16 PM? 549 How many minutes are there between 10:41 PM and 8:19 AM? 578 What is 578 minutes after 9:01 PM? 6:39 AM How many minutes are there between 10:13 AM and 4:52 PM? 399 What is 385 minutes after 12:45 PM? 7:10 PM What is 165 minutes before 3:04 PM? 12:19 PM How many minutes are there between 5:02 AM and 12:21 PM? 439 What is 135 minutes before 9:09 AM? 6:54 AM How many minutes are there between 2:43 AM and 1:47 PM? 664 How many minutes are there between 12:02 PM and 1:30 PM? 88 What is 6 minutes after 9:41 AM? 9:47 AM What is 266 minutes before 9:17 PM? 4:51 PM What is 67 minutes before 5:03 AM? 3:56 AM How many minutes are there between 1:29 AM and 2:25 AM? 56 How many minutes are there between 12:24 AM and 1:00 AM? 36 What is 279 minutes before 7:40 PM? 3:01 PM What is 204 minutes after 4:54 PM? 8:18 PM How many minutes are there between 2:12 AM and 5:49 AM? 217 What is 394 minutes after 1:27 AM? 8:01 AM What is 293 minutes after 1:05 AM? 5:58 AM What is 296 minutes before 2:16 PM? 9:20 AM How many minutes are there between 3:11 PM and 2:18 AM? 667 What is 184 minutes before 8:54 PM? 5:50 PM How many minutes are there between 4:21 AM and 6:42 AM? 141 What is 408 minutes after 10:27 PM? 5:15 AM How many minutes are there between 2:54 PM and 5:33 PM? 159 What is 399 minutes after 9:21 PM? 4:00 AM What is 128 minutes after 5:38 AM? 7:46 AM How many minutes are there between 4:53 AM and 5:44 AM? 51 How many minutes are there between 2:51 AM and 7:56 AM? 305 What is 505 minutes after 12:31 AM? 8:56 AM What is 77 minutes after 10:22 AM? 11:39 AM What is 664 minutes before 9:20 PM? 10:16 AM How many minutes are there between 10:59 AM and 3:52 PM? 293 What is 700 minutes after 2:01 PM? 1:41 AM What is 279 minutes before 7:46 AM? 3:07 AM What is 618 minutes before 12:36 AM? 2:18 PM What is 480 minutes before 2:54 AM? 6:54 PM What is 115 minutes after 10:12 AM? 12:07 PM What is 481 minutes after 11:44 PM? 7:45 AM What is 293 minutes after 11:01 PM? 3:54 AM How many minutes are there between 2:53 PM and 1:13 AM? 620 What is 77 minutes after 12:11 AM? 1:28 AM What is 446 minutes after 8:53 AM? 4:19 PM What is 313 minutes after 12:35 PM? 5:48 PM What is 50 minutes before 11:43 AM? 10:53 AM How many minutes are there between 11:39 PM and 7:05 AM? 446 How many minutes are there between 2:57 PM and 2:36 AM? 699 How many minutes are there between 7:10 PM and 1:48 AM? 398 What is 320 minutes after 7:27 PM? 12:47 AM How many minutes are there between 10:46 PM and 5:47 AM? 421 How many minutes are there between 9:51 AM and 11:48 AM? 117 How many minutes are there between 11:53 AM and 2:00 PM? 127 How many minutes are there between 11:38 PM and 6:12 AM? 394 How many minutes are there between 3:07 AM and 8:31 AM? 324 How many minutes are there between 11:22 PM and 11:55 PM? 33 How many minutes are there between 8:47 PM and 11:58 PM? 191 How many minutes are there between 11:17 PM and 4:37 AM? 320 What is 699 minutes before 1:24 AM? 1:45 PM What is 327 minutes before 6:20 AM? 12:53 AM How many minutes are there between 7:19 AM and 4:04 PM? 525 What is 244 minutes after 1:52 PM? 5:56 PM How many minutes are there between 2:39 PM and 11:01 PM? 502 How many minutes are there between 3:07 PM and 10:46 PM? 459 What is 474 minutes after 6:32 PM? 2:26 AM How many minutes are there between 2:07 AM and 7:27 AM? 320 How many minutes are there between 2:37 PM and 2:32 AM? 715 How many minutes are there between 5:58 PM and 1:34 AM? 456 How many minutes are there between 1:13 PM and 10:57 PM? 584 How many minutes are there between 4:30 AM and 3:47 PM? 677 What is 488 minutes before 2:13 AM? 6:05 PM How many minutes are there between 5:13 AM and 11:08 AM? 355 How many minutes are there between 7:50 PM and 10:00 PM? 130 What is 616 minutes before 11:31 PM? 1:15 PM How many minutes are there between 4:34 PM and 3:05 AM? 631 What is 135 minutes after 6:52 AM? 9:07 AM What is 429 minutes after 5:40 PM? 12:49 AM What is 137 minutes after 12:35 AM? 2:52 AM What is 289 minutes before 2:57 PM? 10:08 AM How many minutes are there between 12:24 AM and 11:16 AM? 652 What is 612 minutes before 7:29 PM? 9:17 AM What is 408 minutes after 12:56 PM? 7:44 PM What is 128 minutes after 11:33 PM? 1:41 AM What is 419 minutes before 2:00 PM? 7:01 AM How many minutes are there between 5:16 AM and 8:20 AM? 184 How many minutes are there between 10:19 AM and 9:35 PM? 676 How many minutes are there between 8:50 PM and 8:35 AM? 705 How many minutes are there between 2:29 AM and 12:46 PM? 617 What is 707 minutes after 3:32 PM? 3:19 AM What is 472 minutes before 7:22 AM? 11:30 PM How many minutes are there between 8:38 PM and 5:28 AM? 530 How many minutes are there between 9:59 PM and 4:41 AM? 402 How many minutes are there between 7:40 AM and 5:57 PM? 617 What is 421 minutes before 4:29 PM? 9:28 AM What is 556 minutes before 1:07 AM? 3:51 PM What is 560 minutes after 5:39 AM? 2:59 PM How many minutes are there between 9:25 AM and 11:03 AM? 98 How many minutes are there between 9:30 PM and 2:35 AM? 305 What is 325 minutes before 2:45 AM? 9:20 PM How many minutes are there between 6:46 PM and 1:56 AM? 430 How many minutes are there between 6:26 PM and 2:03 AM? 457 What is 597 minutes before 2:53 AM? 4:56 PM How many minutes are there between 4:27 PM and 4:10 AM? 703 How many minutes are there between 12:35 AM and 5:55 AM? 320 How many minutes are there between 2:58 PM and 4:07 PM? 69 What is 664 minutes before 11:07 AM? 12:03 AM What is 107 minutes after 4:57 PM? 6:44 PM How many minutes are there between 9:47 PM and 12:16 AM? 149 What is 115 minutes before 2:39 AM? 12:44 AM How many minutes are there between 2:56 AM and 9:52 AM? 416 How many minutes are there between 10:44 AM and 6:07 PM? 443 How many minutes are there between 5:18 PM and 12:56 AM? 458 How many minutes are there between 6:18 PM and 4:02 AM? 584 How many minutes are there between 10:16 PM and 10:22 PM? 6 How many minutes are there between 1:40 AM and 4:09 AM? 149 What is 444 minutes after 1:04 AM? 8:28 AM How many minutes are there between 7:04 PM and 9:29 PM? 145 How many minutes are there between 10:53 PM and 9:04 AM? 611 How many minutes are there between 12:12 PM and 8:23 PM? 491 How many minutes are there between 8:23 AM and 7:42 PM? 679 What is 576 minutes after 6:21 PM? 3:57 AM How many minutes are there between 7:23 AM and 3:31 PM? 488 What is 482 minutes before 3:38 AM? 7:36 PM What is 672 minutes after 3:03 AM? 2:15 PM What is 585 minutes before 3:27 PM? 5:42 AM How many minutes are there between 3:32 PM and 11:20 PM? 468 What is 295 minutes after 3:25 PM? 8:20 PM How many minutes are there between 7:32 PM and 1:58 AM? 386 How many minutes are there between 7:07 AM and 2:11 PM? 424 What is 526 minutes before 12:39 AM? 3:53 PM What is 700 minutes before 8:48 PM? 9:08 AM What is 388 minutes before 4:49 PM? 10:21 AM What is 355 minutes before 11:50 AM? 5:55 AM What is 56 minutes before 5:43 AM? 4:47 AM How many minutes are there between 12:39 PM and 1:04 PM? 25 How many minutes are there between 7:47 PM and 7:14 AM? 687 How many minutes are there between 11:38 PM and 3:05 AM? 207 How many minutes are there between 4:03 PM and 4:15 PM? 12 What is 657 minutes
{ "pile_set_name": "DM Mathematics" }
7. Suppose 3*h - q*h + 90 = 0. What is the tens digit of h? 3 Let b = -44 - -44. Suppose 3*g + 29 = y + g, 5*y - 5*g - 145 = b. What is the tens digit of y? 2 Suppose -3*s = k - 2101, -6*k + 9*k = 5*s - 3497. What is the hundreds digit of s? 7 Suppose -3 - 9 = -3*g. Let y(l) = l**3 + 3*l**2 - 5*l - 5. What is the units digit of y(g)? 7 Suppose 10*u - 6*u = 4. Let f(g) = -u + 14 + 15*g + 276*g**2 - 277*g**2. What is the tens digit of f(15)? 1 Suppose 15*v - 19*v = 4*i - 3024, -5*i = 2*v - 3795. What is the hundreds digit of i? 7 Let v = 32 + 318. Let r = -200 + v. What is the hundreds digit of r? 1 Suppose 0 = -4*x - 4*c + 6432, 10*x - 1608 = 9*x + c. What is the tens digit of x? 0 Let s(w) = -w - 4*w + 3*w + 7 - 3*w. Let d be s(-8). Let v = 68 - d. What is the units digit of v? 1 Let a = 20 - -58. Suppose -u = -3, -b + 5*u + 193 - a = 0. What is the tens digit of b? 3 Let j(m) = -3*m**2 + 13*m + 10. Let s be j(19). What is the units digit of (3/2)/((-21)/s)? 9 Let t = 50 + -27. Let q = t - 19. What is the units digit of q? 4 Let u(m) = m**3 - m + 1. Let h(a) = -13*a**3 - a**2 - 2*a + 3. Let t(b) = -h(b) + 2*u(b). What is the units digit of t(1)? 5 Let d(q) = 20*q - 4. Suppose -5*b = -2*b + 6. Let r be d(b). Let k = -16 - r. What is the units digit of k? 8 Suppose 7150 = 4*q - 0*q + 2*r, 3*r + 5367 = 3*q. What is the hundreds digit of q? 7 Let d(y) = y**3 + 13*y**2 - 14*y - 2. Let j be d(-14). What is the units digit of (j + 14)/((-3)/(-4))? 6 Let v(i) = 3*i + 6. Suppose b - 6 = -0. What is the tens digit of v(b)? 2 What is the tens digit of (-14 + (-3)/9*3)*-57? 5 Let m(u) = 6*u**3 - u**2 - 2*u. Let r be m(2). Suppose 12*c - 91 - 581 = 0. Suppose c + r = 3*h. What is the tens digit of h? 3 Let c = 8648 - 4584. What is the units digit of ((-4)/(-8))/(8/c)? 4 Suppose -z + 5 = 0, -3*b - 4*z = -6*b + 832. What is the hundreds digit of b? 2 Suppose -29*i + 32*i = 735. What is the tens digit of i? 4 Suppose -q - s = 3*s - 7, -5*q + s = -14. Suppose -16 = -o + 2*a - 0*a, 0 = -5*o + 3*a + 94. Suppose o = -q*f + 7*f. What is the units digit of f? 5 What is the thousands digit of (-3)/(-2) + ((-292206)/4)/(-31)? 2 Let l = 9237 - 5541. What is the units digit of l? 6 Let n(q) = -677*q + 65. What is the units digit of n(-3)? 6 Let l = 88 + 226. Suppose d - 3*f = l, 3*d + 2*f - 907 = 4*f. What is the units digit of d? 9 Suppose -10411 + 3184 = -11*d. What is the tens digit of d? 5 Suppose 0 = -5*p, 3*r - 9 = -0*p + p. Suppose 8 = r*o - 82. Let x = o - -8. What is the tens digit of x? 3 What is the hundreds digit of (14 - -7086)*2/4? 5 Let r(d) = -64*d - 70. Let s(h) = 21*h + 23. Let f(u) = -5*r(u) - 16*s(u). What is the tens digit of f(-18)? 7 Suppose -8*m + 24 = -4*m. Suppose 0 = -2*u + m. What is the units digit of u? 3 Let m(n) = -5*n - 55*n**3 - 2*n**2 + 40*n**3 - 3 + 6*n + 2. What is the units digit of m(-2)? 9 Let a(f) = 285*f**2 - 4*f + 8. What is the tens digit of a(2)? 4 What is the hundreds digit of (-28)/(-77) + 36354/33? 1 Let n = -1349 - -2299. What is the tens digit of n? 5 Suppose 0 = -y - 11 + 14. Let b = y + 9. Let u(c) = -c + 21. What is the units digit of u(b)? 9 Suppose -f + 23 = -2*f. Let r = 26 + f. What is the units digit of (r/9)/1*57? 9 Let a = 626 - 199. What is the units digit of a? 7 Suppose 7*d + 3*m = 5*d + 183, 3*d = -5*m + 274. What is the units digit of d? 3 Let c = -135 - -190. Suppose 59*n = c*n + 112. What is the tens digit of n? 2 Suppose -5*y - 9602 = -2*c - 32629, -y - 3*c = -4619. What is the hundreds digit of y? 6 Let t(i) = 9*i - 5. Let r be t(8). Let v = -13 + r. What is the tens digit of v? 5 Suppose 0 = -30*q + 69419 + 49651. What is the tens digit of q? 6 Let o(u) = u**2 - 12*u + 16. Suppose 3*h - 37 = -4. Let c be o(h). What is the units digit of (23/(-2))/(c/(-10))? 3 Suppose 0 = 2*c + 4*m + m + 13, c + 3*m = -9. What is the units digit of ((-106)/c)/(4/(-12))? 3 Let t = -717 + 1037. What is the units digit of t? 0 Let h be (12/(-3))/2 + (73 - 6). Suppose -219 = -h*y + 64*y. What is the hundreds digit of y? 2 What is the hundreds digit of (-634)/6*3*(0 + -1)? 3 Let o = 1382 - 418. What is the tens digit of o? 6 Let b(v) = 3*v**2 - v. Let c be b(2). Let p(y) = y**2 + 5*y + 18. Let f be p(-8). Let i = f - c. What is the units digit of i? 2 Let d(f) = f. Let j(i) = -1. Let m(w) = w**2 + 7*w + 5. Let k(l) = 5*j(l) - m(l). Let o(a) = -5*d(a) + k(a). What is the tens digit of o(-8)? 2 Let v(p) = -24*p**2 - 2*p + 3. Let w be v(2). Let n = w - -159. Let l = n - 34. What is the tens digit of l? 2 Let l be 216/60 - 3/5. Suppose -l*p = 4*p - 1022. What is the tens digit of p? 4 Let c be 1/(-8)*2 - 162/(-8). Suppose c = o - 8. What is the units digit of o? 8 Let a(h) = -3337*h**3 - h**2 - 6*h - 5. What is the hundreds digit of a(-1)? 3 Let l be (-18)/(-5) - (-30)/(-50). Suppose -l*f + 165 = -168. Suppose 21 = -5*t + f. What is the tens digit of t? 1 Let d(w) = w**2 - 7*w + 15. Let s be d(15). Let j = s - 58. What is the tens digit of j? 7 Suppose 2*g = -4*g - 24. Let u = g - -8. Suppose 4*i + u*p - 124 = 0, -2*i + 12 = -2*p - 34. What is the tens digit of i? 2 Let t be (-18)/(-27)*(-1 - 11). Let u be 3 + t/(-4) + -2. What is the units digit of (0 - u)*(-7)/3? 7 Suppose -25*q - 5630 = -45930. What is the tens digit of q? 1 Let x(f) = 23*f**2 - 14*f + 61. What is the units digit of x(5)? 6 Let r(w) = w**3 + 7*w**2. Let n be r(-7). Suppose -12*t + 9*t + 102 = n. Suppose 2*k - 4*k = -t. What is the units digit of k? 7 Let u = 33 - 32. Let l = 10 - u. What is the units digit of l? 9 Let u(v) = -99*v + 169. What is the tens digit of u(-6)? 6 Suppose -5*h + 46 + 24 = 0. What is the units digit of (-96)/(-56) - (-4)/h? 2 Suppose 5*b - 36 - 429 = 0. What is the tens digit of b? 9 Let d(o) = -o**2 + 7*o + 4. Let k be d(7). Let f be 674/k + (-8)/16. Suppose -f = -4*p + 5*g - g, 2*p - 3*g = 86. What is the units digit of p? 0 Let a = -80 - -177. Suppose 2*i = 33 + 1. Suppose i = -5*y + a. What is the units digit of y? 6 Suppose -5*x + 28 = 2*x. Let o(r) = -r**3 + 9*r**2 - 5*r + 7. Let n be o(7). Suppose 9*f - n = x*f. What is the units digit of f? 4 Let l(p) = 39*p**2 - 120*p + 679. What is the hundreds digit of l(6)? 3 Suppose 33*j - 71*j + 200602 = 0. What is the units digit of j? 9 Let f = -887 + 1644. What is the hundreds digit of f? 7 Suppose 151648 - 14326 = 27*b. What is the thousands digit of b? 5 Let y = -405 - -806. What is the tens digit of y? 0 Let t = 10 - 8. Suppose -v = -t*v + 122. Suppose -v = -5*l + 8. What is the tens digit of l? 2 Let q(t) = 7*t + 168. What is the hundreds digit of q(8)? 2 Let n(v) = -3*v + 19. Let i be n(24). Let m = -36 - i. What is the units digit of m? 7 Let o be ((-32)/(-12))/((-2)/3). What is the tens digit of o/18 + 2888/36? 8 Let g = -66 - -78. Suppose -g*w + 462 = -6*w. What is the units digit of w? 7 Suppose -2*r = 10, 4*s - 59 = 2*r - 3*r. Let t be 4/(s/36) + -3. What is the units digit of ((-4)/t)/((-3)/27)? 6 Let z(d) = -156*d + 45. What is the hundreds digit of z(-12)? 9 Let h(w) = w**3 + w - 6. Let g be h(0). Let i = g - -10. Suppose -22 - 118 = -i*l. What is the units digit of l? 5 Suppose -1796 = -4*q - 3*t, 0*q - 5*q - t = -2245. Suppose -q = -8*u + 4*u - 3*y, 0 = 5*u + 4*y - 560. What is the tens digit of u? 1 Let d = 643 + -253. Suppose 0 = -4*f - 2*c + d, -f = f - 2*c - 180. What is the tens digit of f? 9 Suppose 8 = -4*g - 0*g, 4*l - g + 158 = 0. Let o = l + 106. Suppose 5*z + 5 = 0, a + z = -z + o. What is the tens digit of a? 6 Let h(i) = 26*i - 35. What is the tens digit of h(18)? 3 Let k be (16/(-14))/(1*2/(-7)). Suppose -2*g - g + 30 = 0. Suppose -3*y = k - g. What is the units digit of y? 2 What is the units digit of (-3)/2*(-565 + -9)? 1 Suppose -3*x + 3*d - 27 = 0, -8 = 3*x - 4*d + 23. Let c = 10 + x. Let z(f) = 5*f - 7. What is the units digit of z(c)? 8 Suppose 5*i - 5640 = 5*p, -4*i - 3384 = -7*i - 4*p. What is the tens digit of i? 2 Suppose 8800 = -279*v + 295*v. What is the hundreds digit of v? 5 Let t(v) = -3*v**3 - 12*v**2 - 8*v - 50. What is the units digit of t(-8)? 2 Suppose 0 = 2*p + p - 6. What is the units digit of (-15444)/(-242) + 2*p/22? 4 Suppose 5*f - 5*z + 405 = 0, 3*z - 262 = 4*f + 67. Let s = f - -113. What is the units digit of s? 7 Suppose
{ "pile_set_name": "DM Mathematics" }
Let z(s) = 2*s. Give z(n(f)). 6*f**2 Let x(u) = -2*u**2. Let n(h) = -4*h. Let z(t) = 8*t. Let v(c) = -10*n(c) - 4*z(c). Give v(x(g)). -16*g**2 Let z(s) be the second derivative of s**6/360 - s**4/12 + 2*s. Let o(v) be the third derivative of z(v). Let p(j) = -2 + 4*j + 2. What is p(o(m))? 8*m Let f(p) = 2*p**2 - 12. Let s(h) = h. Give f(s(n)). 2*n**2 - 12 Let a(w) = -2*w - 33. Let c(b) = 4*b**2 - 12. Give c(a(u)). 16*u**2 + 528*u + 4344 Let n(w) = -3*w**2. Let a(h) = 2*h**2 + 3*h. Let g(l) = -5*l**2 - 8*l. Let q(z) = -8*a(z) - 3*g(z). What is q(n(j))? -9*j**4 Let g(p) = -11*p. Let h(w) = 5*w. Let v(s) = 6*g(s) + 13*h(s). Let i(a) be the third derivative of a**5/30 + a**2. Determine i(v(l)). 2*l**2 Let m(x) = -6*x**2 + 5*x - 5. Let d(g) = g**2 - g + 1. Let o(u) = 5*d(u) + m(u). Let n(h) = -8*h. Give n(o(b)). 8*b**2 Let s(k) = 4*k**2 - 6. Let d(c) = -c**2. Calculate d(s(g)). -16*g**4 + 48*g**2 - 36 Let x(a) = -143*a. Let k(l) = 3*l. Give x(k(i)). -429*i Let x(o) = 7*o**2 - 6*o**2 - 3*o**2 + 0*o**2. Let f(d) = -4*d**2 - 2*d. Give x(f(b)). -32*b**4 - 32*b**3 - 8*b**2 Let u(d) = 3*d. Let x(i) = -11*i. Let t(r) = 9*u(r) + 2*x(r). Let z(h) be the third derivative of -h**5/30 - h**2. Give t(z(n)). -10*n**2 Let s(t) = -5*t**2. Let u(x) be the third derivative of -x**4/12 + 6*x**2. Determine u(s(q)). 10*q**2 Let g(k) = -24*k. Let b(p) = -p**2. Give g(b(s)). 24*s**2 Let l(x) = -13*x**2 + 18*x**2 - 10*x**2. Let y(d) = d**2 - 5*d**2 + 5*d**2. What is l(y(k))? -5*k**4 Let x(b) = 9*b. Let d(s) be the third derivative of s**4/24 + 11*s**2. Give x(d(g)). 9*g Let v(k) be the third derivative of k**5/15 + k**2. Suppose n + n = 0, -4*n = -4*u + 40. Let p(a) = -10 + a**2 + u. Determine v(p(r)). 4*r**4 Let m(y) = 5376*y. Let o(c) = c**2. Give m(o(i)). 5376*i**2 Let c be (20 + -1 - -3) + -2. Let h be 52/c - 6/10. Let q(o) = -o**h - o**2 - o + o. Let y(s) = -6*s. What is q(y(l))? -72*l**2 Let c(l) = 10*l. Let q(h) = -3*h - 10. Let a(w) = -w - 4. Let z(t) = -5*a(t) + 2*q(t). Give z(c(y)). -10*y Let r(k) = 2*k**2. Let g(p) = -4*p**2 - 3*p. Let f(d) = -d**2 + d. Let m(i) = 6*f(i) + 2*g(i). What is r(m(w))? 392*w**4 Let v(z) = -78*z + 39*z + 35*z. Let r(o) = -3*o**2. Give v(r(i)). 12*i**2 Let m(a) = 48*a**2. Let o(i) = -2*i**2. Determine m(o(s)). 192*s**4 Let u(v) = -6*v. Let x(h) = 3*h + 10. What is x(u(l))? -18*l + 10 Let g(v) be the first derivative of v**2 - 13 + 7 + 3. Let c(y) = -3*y. Give c(g(m)). -6*m Let x(b) be the second derivative of -b**6/40 + 2*b**3/3 + 4*b. Let l(f) be the second derivative of x(f). Let a(m) = -m**2. Give a(l(v)). -81*v**4 Let i(c) = -4*c. Let v be 40/18 + 4/(-18). Let h(u) = v*u**2 + 138*u - 138*u. Determine i(h(g)). -8*g**2 Let f(z) be the second derivative of -5*z**4/12 + 26*z. Let w(d) = d. What is f(w(p))? -5*p**2 Let f(h) = -2*h**2. Let z(t) = t**2 - 3*t + 2. Let w be z(4). Suppose -5*g + w = 3*i, 6 - 16 = g - 5*i. Let c(y) = g*y + y + y. Give c(f(q)). -4*q**2 Suppose -4*f = 4*d + 8, 0 = 4*d - f - 8 - 4. Let t be 5 - -2*d/(-4). Let s(i) = -7*i - 2*i + t*i. Let k(o) = -2*o**2. Calculate k(s(b)). -50*b**2 Let t(v) = -2*v**2 + 0*v**2 + 4*v**2. Let i(p) be the first derivative of -p**2/2 + p + 11. Let m(z) = -1. Let g(k) = i(k) + m(k). What is g(t(u))? -2*u**2 Let a(y) = -2*y. Let s(p) = -205*p. Determine s(a(m)). 410*m Let f(o) = 32*o + o**2 - 32*o. Let r(k) = -3 + 0*k - k + 3. What is f(r(q))? q**2 Let u(k) = -3*k**2 - 2*k**2 + 2*k**2. Suppose 0 = -z - z + 16. Let t(l) = z*l + 2*l**2 - 8*l. Determine u(t(j)). -12*j**4 Let i(u) = -u**2. Suppose -2*c + 19 = 3. Suppose 2 = -3*h + c. Let g(l) = -3 + 3 - h*l. Give i(g(b)). -4*b**2 Let b(o) = -3*o. Suppose -a - 4*a - 2*y = -64, -50 = -4*a - 2*y. Let l(j) = a + j - 14. Give l(b(g)). -3*g Let f(r) = 2*r. Let s(j) be the first derivative of j**2/2 + 7. Calculate s(f(x)). 2*x Let v(z) = -952*z**2. Let q(u) = -2*u**2. Give q(v(h)). -1812608*h**4 Let s(q) = -1392*q. Let j(t) = -t. Calculate j(s(v)). 1392*v Let p(i) = -2*i. Suppose -5*l + 75 = 5*c, -3*c = -c + 4*l - 40. Suppose -6*o + c = -o. Let v(h) = o*h - 5*h + 2*h. Determine p(v(a)). 2*a Let z(f) = -9*f**2. Let q(s) = s + 4. Let m(b) = -b - 5. Let u(v) = 4*m(v) + 5*q(v). Calculate z(u(n)). -9*n**2 Let a(c) = 1358*c**2. Let g(u) = -2*u. Determine a(g(w)). 5432*w**2 Let g(s) = -72*s**2 + 5. Let j(i) = -5*i. Calculate j(g(n)). 360*n**2 - 25 Let b(o) = 2*o**2 - 3*o. Let y(g) = -3*g**2 + 5*g. Let h(r) = 2*r - 7. Let m be h(6). Let f(s) = m*b(s) + 3*y(s). Let w(p) = -3*p. Calculate f(w(x)). 9*x**2 Suppose 3*y - 6 = 3*m, 3*m + 0 + 3 = 2*y. Let d(n) = -y*n - 4*n + 6*n. Let a(t) = t + 1 - 1. Give d(a(x)). -x Let t(f) = 2*f**2. Let u = 21 + -19. Let c(g) = -8*g - 3*g + u*g - 2*g. What is c(t(l))? -22*l**2 Suppose -4 = -w - w. Suppose -w*p - 5*a = -3*p + 31, 4*p + 3*a = 32. Let k(o) = 11 + o - p. Let y(j) = -2*j. Calculate k(y(b)). -2*b Let m(d) = 2*d**2 + 30. Let v(p) = -14*p**2. Give v(m(o)). -56*o**4 - 1680*o**2 - 12600 Let a(m) = m**2. Let g(i) = 32*i. Give a(g(u)). 1024*u**2 Let p(k) = k**2 - 3*k**2 - 3*k**2. Let f(o) = -o**2 + 1662*o - 1662*o. What is p(f(b))? -5*b**4 Let t(w) = 14*w. Let l(o) = 2*o**2 - 41*o + 41*o. What is t(l(u))? 28*u**2 Let x(i) = -935*i. Let z(p) = -4*p. What is x(z(y))? 3740*y Suppose 4*i = 7*i. Let x(m) be the second derivative of -m + 0 + i*m**2 - 1/6*m**3. Let y(v) = -v. Give x(y(a)). a Let p(l) = -2*l**2 - 7*l**2 + 8*l**2 + 13*l**2. Let r(o) be the first derivative of o**2 - 1. Determine r(p(q)). 24*q**2 Let a(j) = 3922*j**2 - 2. Let k(o) = -2*o**2. Determine a(k(i)). 15688*i**4 - 2 Let z(q) = -541*q**2. Let i(s) = 2*s. What is z(i(f))? -2164*f**2 Let u(h) be the second derivative of h**3/2 - 6*h. Let x(z) = -8*z - 5. Let p(r) = r + 1. Let k(c) = 5*p(c) + x(c). Determine k(u(w)). -9*w Let o(w) be the third derivative of w**5/60 - w**3/6 - w**2. Let j(k) be the first derivative of o(k). Let s(g) = -2*g**2 + 4*g + g**2 - 4*g. Determine s(j(y)). -4*y**2 Let k(n) = -5*n. Let b(c) be the first derivative of -3*c**2/2 + 2. Calculate b(k(v)). 15*v Let h(i) = -46*i. Let s(l) = -12*l**2. Give h(s(t)). 552*t**2 Let z(p) = -3*p. Suppose 3*m + 6 = 2*o, 3*o - m - 2*m = 6. Let s(f) = 3*f - 4*f + o*f. Calculate s(z(q)). 3*q Suppose -2*h - x + 1 + 2 = 0, -3*x = h + 1. Let q(j) = j**2 - j**h + 2*j**2. Let c(w) = -2*w. Calculate q(c(v)). 8*v**2 Let i(t) = 5*t. Let m(v) = -4*v. Suppose 0 + 7 = k. Let s be -11 + 9 + (k - 0). Let l(n) = s*i(n) + 6*m(n). Let f(u) = u**2. Give l(f(b)). b**2 Let s(u) = 3*u**2. Let t(w) = 6*w + 4*w - 2*w - 6*w. Calculate s(t(q)). 12*q**2 Let a(b) = 42*b**2 + 2*b - 5. Let c(q) = 43*q**2 + 2*q - 4. Let y(h) = 4*a(h) - 5*c(h). Let d(g) = g. Determine y(d(k)). -47*k**2 - 2*k Let a(o) = 2*o. Let n(c) = c. Let s(h) = 5*a(h) - 12*n(h). Let v(l) = 3*l. Give s(v(j)). -6*j Let t(w) = 5*w**2. Let g be (-2)/(-12) - 33/(-18). Let m(d) = -6*d**2 + 2*d**g + 0*d**2. Determine m(t(j)). -100*j**4 Let x(r) = 2*r + 5. Let o(h) = h + 3. Let a = -3 + 6. Let i(z) = a*x(z) - 5*o(z). Let n(w) = 2*w. What is i(n(k))? 2*k Let d(i) = 19*i. Let t(w) = -20*w + 2. Determine t(d(k)). -380*k + 2 Let v(t) = -25*t + 14. Let i(z) = -z. What is i(v(m))? 25*m - 14 Let r(i) = -13*i. Let f(c) = -2*c**2 - 39*c. Calculate r(f(l)). 26*l**2 + 507*l Let b(r) = -24*r + 24*r + r**2. Let k(f) = 12*f. Give b(k(c)). 144*c**2 Let g(c) = -5*c**2 - 2*c - 438. Let j(u) = -u**2. Determine g(j(a)). -5*a**4 + 2*a**2 - 438 Let l(p) = -10*p**2. Let s(x) be the first derivative of 2*x**3 + 53. Calculate s(l(h)). 600*h**4 Let g(p) be the second derivative of p**4/6 + 9*p. Let n(f) = -3*f**2. What is g(n(m))? 18*m**4 Let q(y) = -y. Let u(s) = 4*s. Let x(n) = -7*n. Let l(w) = -5*u(w) - 3*x(w). Calculate q(l(r)). -r Let p(x) = x**2 + 4. Let i(j) = -3*j**2 - 11. Let g(c) = -4*i(c) - 11*p(c). Let d(v) = 17*v**2 - 41*v**2 + 25*v**2. Calculate g(d(n)). n**4 Let o(c) be the third derivative of -3*c**2 + 0 + 0*c**3 + 1/6*c**4 + 0*c. Let d(b) = b. Give d(o(h)). 4*h Let b(k) = 2*k. Let c(u) = -5683*u**2. Give c(b(r)). -22732*r**2 Let g(a) be the first derivative of 3*a**2/2 - 1. Let h(d) = 24*d - 12*d - 6*d - 3*d. Calculate g(h(m)). 9*m Let n(m) = 24*m**2. Let z(f) = -60*f**2. Calculate n(z(q)). 86400*q**4 Let u(z) = -2*z. Let m(r) = -948*r**2 + r - 6. Calculate m(u(n)). -3792
{ "pile_set_name": "DM Mathematics" }
what is 10001 - -1112? 11120 In base 2, what is 100100 - -1101011? 10001111 In base 2, what is -1 + -10000111? -10001000 In base 16, what is -2bf + -2? -2c1 In base 11, what is 4 - -48? 51 In base 14, what is -a0 - -5? -99 In base 3, what is 10 - 101? -21 In base 10, what is -7 + 3? -4 In base 14, what is ca + 4? d0 In base 2, what is 1100110000100 - 100? 1100110000000 In base 10, what is 10 - 13? -3 In base 15, what is 0 - -23? 23 In base 11, what is 40 + 3? 43 In base 11, what is 349 + 40? 389 In base 7, what is -3 - -3105? 3102 In base 11, what is 6 - -3514? 351a In base 6, what is 24 - 3321? -3253 In base 10, what is 4 - 545? -541 In base 14, what is -6ddc + 5? -6dd7 In base 10, what is 0 - 96? -96 In base 8, what is -14544 - -1? -14543 In base 5, what is -1 + 113202? 113201 In base 13, what is 19 - -1? 1a In base 14, what is -286 + -4? -28a In base 9, what is 4 - -316? 321 In base 5, what is -13324 - 10? -13334 In base 14, what is -84 - -20? -64 In base 9, what is -148 + 2? -146 In base 12, what is 438 + 17? 453 In base 5, what is 231 + -2? 224 In base 11, what is -3 - 3268? -3270 In base 5, what is -334 + 323? -11 In base 2, what is 110101001001 - -100? 110101001101 In base 14, what is 5 + 75? 7a In base 5, what is -4230 + -3? -4233 In base 2, what is 1110011 + -1100? 1100111 In base 12, what is 0 - -43? 43 In base 4, what is 33 - -30? 123 In base 13, what is 662 + -1? 661 In base 12, what is -13822 - -2? -13820 In base 7, what is -14 - -63? 46 In base 8, what is 25 + -765? -740 In base 16, what is -1571 + 1? -1570 In base 14, what is -9 - 66? -71 In base 4, what is 13 - 20211? -20132 In base 10, what is -1418 + -5? -1423 In base 8, what is 17 + 655? 674 In base 13, what is -3 + 7? 4 In base 13, what is 1 - a1? -a0 In base 6, what is -11 - 341? -352 In base 3, what is 10002200 + 22? 10002222 In base 8, what is 3 - 240? -235 In base 14, what is -d39 - 3? -d3c In base 14, what is a0 + 5? a5 In base 2, what is 0 - -11010100000? 11010100000 In base 5, what is 24430 + -4? 24421 In base 8, what is 25 - -402? 427 In base 8, what is 3032 - 3? 3027 In base 3, what is 21 - 12000? -11202 In base 14, what is 8c8 - -3? 8cb In base 15, what is -32 + 1? -31 In base 4, what is -13 - -2211? 2132 In base 11, what is 0 - -1a3? 1a3 In base 3, what is 1 - 20112? -20111 In base 6, what is 35 + 3220? 3255 In base 14, what is 110 - 55? 99 In base 2, what is 10100001011 + 1000? 10100010011 In base 15, what is 3 + 241? 244 In base 8, what is 111 + 1? 112 In base 14, what is -25 - -1? -24 In base 16, what is 0 - 43? -43 In base 3, what is -200 + 2120? 1220 In base 11, what is 1 + 824? 825 In base 15, what is 3 + -366? -363 In base 16, what is -63 - 1? -64 In base 5, what is -1 + 11? 10 In base 4, what is 11 - 233? -222 In base 7, what is 2 - -5362? 5364 In base 2, what is -100 - -100001000111? 100001000011 In base 13, what is -375 + -7? -37c In base 13, what is -4 + 72? 6b In base 13, what is 44 - -6? 4a In base 14, what is -75 + -5c? -d3 In base 8, what is 3004 + -1? 3003 In base 12, what is -1 - 1305? -1306 In base 4, what is 1 - -21232? 21233 In base 4, what is 0 + -213213? -213213 In base 13, what is 3b - -5? 43 In base 5, what is -234 - 132? -421 In base 5, what is -3333 + 3? -3330 In base 8, what is 0 + -5404? -5404 In base 11, what is 158 + 0? 158 In base 7, what is 4023 + -3? 4020 In base 2, what is -1011000 - 0? -1011000 In base 10, what is 7 + -46? -39 In base 16, what is -203 + -3? -206 In base 4, what is -11 + -2000? -2011 In base 6, what is -3 - -221? 214 In base 8, what is 60 + -601? -521 In base 14, what is 1dc14 + 5? 1dc19 In base 4, what is 23011 + 111? 23122 In base 4, what is 3 - -233? 302 In base 8, what is -31 + 165? 134 In base 13, what is -2 - 55? -57 In base 15, what is -15 + 15? 0 In base 4, what is 232 + -10? 222 In base 13, what is -9 + -1b? -27 In base 3, what is 20 + 220? 1010 In base 4, what is 13 - 11? 2 In base 13, what is 8 + 11? 19 In base 3, what is 12002101 - -10? 12002111 In base 13, what is 107 - 3? 104 In base 7, what is 26 + -23? 3 In base 5, what is -3 + 12113? 12110 In base 12, what is -4b7 + 4? -4b3 In base 9, what is -206 - 17? -224 In base 10, what is 570 + -5? 565 In base 5, what is -11 + -14031? -14042 In base 6, what is 2 - -334? 340 In base 4, what is 0 + -1032? -1032 In base 8, what is -4027 + 0? -4027 In base 4, what is 2033211 + 10? 2033221 In base 16, what is -c + -6? -12 In base 10, what is 122 - -5? 127 In base 4, what is -201 - 101? -302 In base 16, what is -9 - 41? -4a In base 13, what is -13 + 0? -13 In base 6, what is 332 - 500? -124 In base 6, what is -2211 + 2? -2205 In base 16, what is -2 + -12? -14 In base 12, what is 5 - b? -6 In base 16, what is 8 + 33? 3b In base 15, what is 3 - 35? -32 In base 4, what is 10 + -20023? -20013 In base 14, what is -46 - 9? -51 In base 8, what is 206 + -13? 173 In base 4, what is 3 - -210? 213 In base 9, what is -204 + 4? -200 In base 3, what is 2121 - -10? 2201 In base 15, what is 9c + -2? 9a In base 10, what is -9 + -88? -97 In base 5, what is -13 + -343? -411 In base 8, what is -111 - -115? 4 In base 2, what is -1101101101 + 10? -1101101011 In base 8, what is 1 - 5774? -5773 In base 6, what is 33 - -103? 140 In base 13, what is 284 + 6? 28a In base 16, what is -5c3 + 4? -5bf In base 12, what is -3 - 9b? -a2 In base 2, what is 0 - 100010100? -100010100 In base 13, what is -14c + -1? -150 In base 9, what is -374 + -4? -378 In base 11, what is -2a - -158? 129 In base 15, what is -4d + 5? -48 In base 14, what is -8 - 0? -8 In base 6, what is -13405 + -1? -13410 In base 3, what is -2010 - 11020? -20100 In base 6, what is -15320 - 5? -15325 In base 13, what is 3 + -a1? -9b In base 8, what is -2 - 5176? -5200 In base 5, what is -3 - 3134? -3142 In base 14, what is 2 - 3d? -3b In base 16, what is -3 + c4? c1 In base 3, what is -10 + -1111? -1121 In base 11, what is 4 - -69? 72 In base 13, what is -325 - 0? -325 In base 4, what is -2233 - -2? -2231 In base 2, what is -10110111 + -10? -10111001 In base 4, what is 3 + 12210? 12213 In base 13, what is -12 - 32? -44 In base 3, what is -211102 - 102? -211211 In base 13, what is 5 - -286b? 2873 In base 14, what is -4 + -39a? -3a0 In base 7, what is 35641 - -1? 35642 In base 8, what is 3 - 256? -253 In base 15, what is -1 - -6c? 6b In base 11, what is 4928 + -1? 4927 In base 2, what is 1001110100 - 101? 1001101111 In base 2, what is 101111 + 101? 110100 In base 13, what is 2 - 1a? -18 In base 16, what is -1 + -ae? -af In base 4, what is -3 - 321? -330 In base 12, what is 2 + -137? -135 In base 15, what is -3e1 + -2? -3e3 In base 13, what is 11c6 - -3? 11c9 In base 5, what is -12 + 4? -3 In base 3, what is 10 - 10101? -10021 In base 7, what is 15 - 26? -11 In base 13, what is 3 - -a4? a7 In base 8, what is -10 - 126? -136 In base 16, what is 13 - -37? 4a In base 11, what is -83 + -1? -84 In base 15, what is -aa1 - -1? -aa0 In base 3, what is 22 - 1100101? -1100002 In base 4, what is 12012 + 1? 12013 In base 15, what is 7 + 1d? 25 In base 3, what is -12 + -10121020? -10121102 In base 6, what is 120 + 5? 125 In base 16, what is 6ba + 8? 6c2 In base 2, what is -10111011 + 10? -10111001 In base 16, what is -46c + 5? -467 In base 5, what is -21 + 3244? 3223 In base 6, what is 120 + 11? 131 In base 7, what is -10033 + -5? -10041 In base 14, what is -90 + 4? -8a In base 11, what is 591 + 16? 5a7 In base 6, what is -23 - 51? -114 In base 4, what is -20 - -123? 103 In base 12, what is -13 - 42? -55 In base 8, what is -75 - -2? -73 In base 2, what is -101001100 - 0? -101001100 In base 2, what is 1011011 - 11? 1011000 In base 7, what is 30 + -260? -230 In base 7, what is 26 - -66? 125 In base 3, what is 12 + 10? 22 In base 11, what is -1 - 62? -63 In base 3, what is -121 + -212? -1110 In base 8, what is 376 + 1? 377 In base 11, what is 6a48 + 3? 6a50 In base 2, what is 11011111000 + 1? 11011111001 In base 16, what is -30 - 3? -33 In base 9, what is 2 - -661? 663 In base 9, what is -5264 - 1? -5265 In base 7, what is -3 - -125? 122 In base 11, what is 1 + -2075? -2074 In base 5, what is -1240 + 1? -1234 In base 12, what is -1 + -15? -16 In base 2, what is 101000 + 100? 101100 In base 7, what is 2320 - -2? 2322 In base 5, what is 4 + -121103
{ "pile_set_name": "DM Mathematics" }
11 (d) -0.1 d Let n = 6469/2 + -3232. What is the third smallest value in 0.035, n, 5? 5 Let j be (-3)/(3*9/(-2)). Let v = -132.16 - -0.16. Let r = v - -131.8. Which is the second smallest value? (a) j (b) r (c) 6/13 (d) 2/11 d Let x = 2.4 - 221.4. Let a = x + 174. What is the smallest value in a, 5, 3? a Let o = 332.6 + -49.6. Let q = 285 - o. Which is the second smallest value? (a) 3 (b) 0.03 (c) q c Let i = -274 + 274.262. Let w = i - -0.338. What is the biggest value in 1/9, w, 0.4? w Let g = -19.1 + 19.9. What is the third biggest value in g, -13, 0.4, 3/5? 0.4 Let q = -1725687/13 + 132630. Let j = 115 + q. Let i = -12787/2905 - -1/581. Which is the biggest value? (a) 0.5 (b) j (c) i a Let w = -391 + 386. Let k = -37 + 42. Which is the second biggest value? (a) w (b) 0.1 (c) k (d) 2/7 d Let c = 15877 - 15876.9. What is the fourth smallest value in -19, c, -0.2, 9/5? 9/5 Let c = -9963 - -9963. What is the smallest value in c, -10, -22, -0.1? -22 Suppose 0 = 54*w - 62*w. Which is the fourth biggest value? (a) -0.4 (b) -6 (c) -1 (d) w b Let j = 54.3 - 54.2. Let m = 434/45 + -30199/2520. Let q = m - -21/8. Which is the second biggest value? (a) -0.3 (b) q (c) j c Let x = 672 - 471. Let p = -200.5 + x. What is the third biggest value in 0.02, -2/9, p? -2/9 Let g = 4425 - 4424.8. Which is the third biggest value? (a) -2/3 (b) g (c) -5 (d) 0.1 (e) 6 d Let d = 7.79 - 7.65. Which is the smallest value? (a) d (b) 1 (c) 3 a Let g = 5959 - 5958.5. Which is the fourth smallest value? (a) g (b) -2/13 (c) -87 (d) 3 d Let z = 0.068 + -0.158. Let w = -50.7 + 51. Which is the second smallest value? (a) w (b) -0.3 (c) 1 (d) z d Let c = -372 + 361. What is the biggest value in -2, -4, c, -0.5? -0.5 Let w = -6 - -5. Let z = w - 0. Let g = 17673.1 + -17673. Which is the second smallest value? (a) g (b) z (c) -6 b Let i = 271 - 267.91. Let k = i - -1.91. What is the fourth smallest value in k, -3/8, -7, 2/3? k Suppose 4*k + 2*i = -10, 0 = k + 2*k - i + 5. Let y be k/(-7) + 2*(-25)/70. Let u = -13 - -8. Which is the second smallest value? (a) y (b) -2 (c) u (d) -8 c Suppose k + 60 = 56. Let h = 2063/7 + -297. What is the third smallest value in h, k, 6? 6 Let x = -16596 + 16607. What is the fifth biggest value in -1, 1, 1/2, 3, x? -1 Suppose 4*c - g = 10, -4*g - 1 + 9 = 0. Suppose 3*n - c = 2*n. Let z = 11911 + -11916. What is the third biggest value in -13, n, z? -13 Let i = -194.3 + 193.9. Which is the second smallest value? (a) i (b) -14 (c) -1 c Let y be (3/2)/(1 + -7). Let p = 5439/2 - 2719. Which is the biggest value? (a) y (b) 2 (c) p b Let s = -39 - -129. Let l be ((-10)/s)/(3/18). Which is the fourth biggest value? (a) 2/3 (b) -1/2 (c) l (d) 0 c Suppose -6*k = 23*k + 870. Let u be 4 - (-132)/k - (-8 + 7). Which is the biggest value? (a) 9 (b) -0.5 (c) u a Let t(r) = 100*r**2 + r - 2. Let y be t(2). Let l be 6/(-16)*y/(-48). Let h = l - 7/2. What is the smallest value in h, 2/3, -0.6? -0.6 Let i = -0.04024 + 0.05224. Which is the fourth smallest value? (a) -0.1 (b) -88 (c) -3 (d) i d Let g = -11.6 + 6.5. Let p = g - -5. Let o = -0.11 - -2.11. What is the second smallest value in 2.5, p, o? o Let u = 27279 + -136399/5. What is the third biggest value in u, 0.21, -4, 8? u Let w = -6/29 - 40/87. Let m = 1 - 1.5. Let l = 1.5 + -1.1. Which is the smallest value? (a) m (b) 1/2 (c) w (d) l c Let w = 481.6 + -430. Let r = 97.2 - w. Let j = 46 - r. What is the second biggest value in j, -0.3, -0.04? -0.04 Let f = 161 - 254.2. Let d = -93 - f. What is the second biggest value in -10, d, 2? d Suppose 1399 = 39*k - 1409. Let r be (-6)/k*2*15. Which is the smallest value? (a) 1/4 (b) -10 (c) r b Let k = -3.2419 + 5.2419. Let d = 13/24 - 5/12. Which is the second biggest value? (a) d (b) 4/3 (c) k b Let y = -471.32 + 471. Let d = y + -6.68. What is the third biggest value in -0.4, d, 5? d Let d be 1 + 12 + 40/(-4). Let j = -223/72 + 23/8. Let s = 194 - 198. What is the smallest value in 2, d, j, s? s Let t(d) = d**3 + 17*d**2 + 13*d - 250. Let o be t(-15). Suppose -4*x - 5 = 11. What is the third biggest value in x, o, 3? x Let m = -13/15 + -7/15. Let n = 87 + -87.47. Let g = n + 0.07. What is the third smallest value in m, g, -0.2, -4? g Let u = 662/15 - 6922/165. Suppose 0 = -l + 4*l - 4*c - 10, -5*c = 4*l + 28. What is the second smallest value in u, l, 1? 1 Let j = -108 - -125. Let q = j - 17.3. Which is the second biggest value? (a) 2/7 (b) 2/5 (c) q (d) -4 a Let f = 153269/68 - 2254. Let s = -245/612 + f. What is the smallest value in -3, s, -0.4, 3? -3 Let q = -637.4 - -637.45. Which is the biggest value? (a) -0.3 (b) -2/75 (c) q c Let f = 17 + -18. Let q(v) = -30*v - 93. Let u be q(-3). Which is the biggest value? (a) -4 (b) u (c) f (d) -0.5 d Let q = -0.9218 - -15.9218. Which is the third biggest value? (a) -33 (b) 2 (c) q (d) -1/2 d Let g = -559 - -565. Which is the third smallest value? (a) 1/2 (b) 0 (c) g (d) 3 (e) 2/13 a Suppose -3*c + 4*k - 96 = 0, k - 1 = 2. Let r be (-35)/220*(-12)/c. What is the second biggest value in -2/7, 2/7, r? r Let u = 3.93 + -226.93. Let d = 226 + u. Which is the second smallest value? (a) 0.35 (b) 0 (c) d a Let s = 710 - 712. Which is the biggest value? (a) 0.05 (b) 1/2 (c) -2/7 (d) 4 (e) s d Suppose -4*w + 5*w + 121 = 5*l, 4*l - 2*w - 98 = 0. Let j = -20 + l. Let d = -2 + -3. Which is the second biggest value? (a) d (b) j (c) 2 c Let l = 0.21736 + -1.21736. Which is the second smallest value? (a) l (b) -3 (c) 0.3 (d) -95 b Let j = -32 + 30. Let l be ((-30)/4)/(3/j). Let z be 2/l*(-45)/36. What is the third smallest value in z, 0.3, -5? 0.3 Let w = -0.35 - -0.15. Let v be -1 - 1 - (2 - 0). Let k = 0.1 - -5.9. What is the second biggest value in w, v, k? w Let h = -740148 + 646889437/874. Let t = h + -7/38. Which is the biggest value? (a) -1 (b) 5 (c) t b Suppose 3*j - 40 = -5*j. Suppose j*y = -2*y - 35. What is the second biggest value in y, -1/4, -0.4, 1? -1/4 Let l = 479 + -150. Let g = l - 328.7. Let k = 0.3 + -0.8. Which is the third smallest value? (a) k (b) g (c) 0.4 c Let c = -5593/25182 - 1/8394. Let q = -1.3 + 1.1. What is the third biggest value in c, 4, q, 1/3? q Let r be 28/644 - (-2)/(-46). Let k be (-5 - -8) + -4 + 1. Suppose -5*z + 16 - 1 = k. What is the biggest value in z, -3, r, 2? z Let w be (2 + 5/(-5))*(0 + -1). Let j be (-34)/18*w + -2. What is the third biggest value in -22, j, -2/3? -22 Let l = -11 + 14. Let p = -20.3 + 18.68. Let j = p + 2.12. What is the fourth biggest value in -2/5, j, l, -1? -1 Let w = 404/7 + -58. Suppose 18 = o - x - 3*x, 10 = 5*o - 4*x. What is the third smallest value in o, -0.3, 3, w? w Let q = -669.547 - -670. Let h = 69.953 - 70. Let w = q - h. Which is the third smallest value? (a) w (b) -21 (c) -2/13 a Let t = -24.6 - -25. Let s = -18.2 + -23.1. Let m = 41 + s. Which is the second smallest value? (a) -0.2 (b) t (c) 3 (d) m a Let p(s) = -s**3 - 21*s**2 - 15*s + 86. Let f be p(-20). Let w be 1 - (-20)/f - 1512/(-2156). Which is the smallest value? (a) w (b) -2 (c) -1 b Let d = 217.823 + 0.177. Let u = d - 203.3. Let z = u - 15. Which is the third smallest value? (a) 3/4 (b) z (c) 10 c Let v = 0.069 - -7.931. Which is the smallest value? (a) -2/9 (b) v (c) 4 a Let z = 0.1 - 0.3. Let g = -18229/3 + 6075. Which is the third smallest value? (a) g (b) 3 (c) z b Let w = -20530.6 + 20531. What is the third smallest value in w, 3/7, -3, -0.25? w Let m = 817/1084 + -1/271. Let k = 0.12 - 0.05. Let z = 0.47 - k. Which is the second biggest value? (a) z (b) -0.16 (c) m a Let r = 154 + -143.1. Let s = -5.7 + r. Let k = 5.2 - s. What is the smallest value in -10, 1, k? -10 Let f = 4979 - 4978.9. What is the second biggest value in f, 0.5, 7/2, 1? 1 Let q = 1579.5 + -1580. What is the fourth biggest value in 1/8, -1/4, q, -32, 0? q Let s be (-342)/312 + (-55)/(-44). Which is the fourth smallest value? (a) 12 (b) 4/11 (c) s (d) -0.2 a Let s = 1729 - 1728.9. What is the second biggest value in s, 1/7, 2, 11, -3/2? 2 Suppose 4*s + 5 - 25 = 0, 4*i = -s + 605. Let t be (2/3)/(i/(-45)). Let k = 201 + -2209/11. Which is the third smallest value? (a) t
{ "pile_set_name": "DM Mathematics" }
3? 15 Suppose -2*w - 5*k = -50, 0 = w + 2*k - 4*k - 34. Calculate the remainder when 87 is divided by w. 27 Suppose -9*g + 28 = -7*g. What is the remainder when g is divided by (-1 + -4)*(-1 - 0)? 4 Suppose 2*u - 49 = u. Let y be (-34)/(-6)*12*1. Suppose p = -3*p + y. Calculate the remainder when u is divided by p. 15 Suppose 0*u - 730 = -5*u. Calculate the remainder when u is divided by 37. 35 Suppose -8*b = -2*b - 216. Calculate the remainder when b is divided by 8. 4 Suppose -5*g = -3*n + 27 - 6, n - g - 5 = 0. Calculate the remainder when 19 is divided by n. 1 Let r = 8 + -6. What is the remainder when r is divided by -2 - 0 - (-8)/2? 0 Suppose 0 = -2*w + 6*w + 292. Let m = 161 + w. What is the remainder when m is divided by 30? 28 Let w(z) = -z + 3. Let q be ((-35)/(-14))/(2/(-4)). Calculate the remainder when w(q) is divided by 5. 3 Let a(v) = v**3 - 7*v**2 + 6*v + 7. Suppose 0 = 3*i - 2 - 7. What is the remainder when a(6) is divided by i? 1 Let z(o) = o - 4. Let r be z(6). Suppose -2*l + 12 = -18. What is the remainder when ((-129)/(-6))/(r/4) is divided by l? 13 Suppose a - 18 = -j, 4*a = 5*j - 72 - 0. Suppose 2*w - 4*w = -j. Calculate the remainder when 23 is divided by w. 7 Let r(b) = -23*b + 1. Let x(d) = -d**3 + 7*d**2 - 3*d - 6. Let o be x(6). Calculate the remainder when r(-1) is divided by (-2)/o + (-237)/(-18). 11 Let n = -138 + 197. Let v(i) = i**3 + 8*i**2 + 10*i - 2. Let m be v(-5). Calculate the remainder when n is divided by m - (2 - 3/(-3)). 19 Suppose -5*s = -2*s - 249. Suppose h + 13 + s = 5*f, 0 = f - 2*h - 21. Calculate the remainder when 36 is divided by f. 17 Suppose 5 = -v + 4*m, -5*v - 3*m + 4*m + 13 = 0. What is the remainder when v is divided by 1? 0 Suppose 4 = s + 3*s. What is the remainder when -2*(s - (-1 - -4)) is divided by 3? 1 Let q(t) = t**3 - 12*t**2 + 12*t - 11. Let r be q(11). Let a(y) = y**3 + y**2 + 19. What is the remainder when a(r) is divided by 11? 8 Let k be 2 + (5 - 0 - -2). Let t = 20 + -11. Let q = t + k. Calculate the remainder when 35 is divided by q. 17 Let a be (-6)/4 + 2/(-4). Let g(x) = -x + 2. Suppose -8 = -2*s + 12. What is the remainder when s is divided by g(a)? 2 Suppose -2*g = -5*y + 14, 1 - 17 = -4*y. Let j = 42 - g. What is the remainder when ((-32)/(-12))/(2/j) is divided by 18? 16 Let r(g) = -g + 38. Let x = 18 - 18. Calculate the remainder when r(x) is divided by 10. 8 Let a = -17 - -2. Let x = 42 + -46. What is the remainder when (130/a)/(x/6) is divided by 5? 3 Suppose -15 = 5*i, -l - 4*i = -7*i - 10. Calculate the remainder when 2 is divided by l. 0 Let d(l) = -l**2 + 16*l + 21. Let s be d(17). Suppose -s*x - 15 = -9*x. Calculate the remainder when x is divided by 3. 0 Let y = -101 - -145. What is the remainder when 83 is divided by y? 39 Let g(o) = -o**3 - 5*o**2 + 2*o - 7. Suppose -5*l - 2*q = 0, -l + 5*q - 24 = 3. Calculate the remainder when l/11 + 365/11 is divided by g(-6). 16 Let s(q) = 3*q**3 - 4*q**2 - q + 6. What is the remainder when s(3) is divided by 10? 8 Suppose 5*h + 2 + 29 = s, -4*s - 5*h + 49 = 0. Suppose -s = 5*k - 271. Let x = -20 + k. What is the remainder when x is divided by 17? 14 Suppose 3*g - 5*u + 26 = 0, -g = 4*u - 3 - 11. Let p(d) = 2*d**2 - 1. What is the remainder when 19 is divided by p(g)? 5 What is the remainder when 77 is divided by (-2)/(87/30 + -3)? 17 Let t(p) = -3*p**2 + 7*p + 5. Let c(a) = -5*a**2 + 11*a + 8. Let b(y) = -5*c(y) + 8*t(y). What is the remainder when 6 is divided by b(-2)? 0 Suppose 0 = -9*h + 12*h - 327. Let j = 201 - h. Calculate the remainder when j is divided by 31. 30 Let c(h) = h**3 + 3*h**2 - 1. Let s be c(2). Suppose -2*i + 27 = -s. What is the remainder when i is divided by (24/32)/((-2)/(-32))? 11 Let r = -1 + 7. Let k = 0 + r. Calculate the remainder when 11 is divided by k. 5 Let a = 14 - 7. Let n = a + 5. Calculate the remainder when 34 is divided by n. 10 Let f(b) = b**3 - 6*b**2 - 8*b - 3. What is the remainder when f(8) is divided by 32? 29 Let t = 2 + -5. Let x be 3 - (2 + t - 4). Suppose 3*h - 55 = 3*k + x, -k = -4*h + 69. What is the remainder when 47 is divided by h? 15 Let m(h) = h**3 + h + 9. Let l(q) = -7*q + 1. Let o(a) = -29*a + 3. Let d(i) = -9*l(i) + 2*o(i). Calculate the remainder when d(4) is divided by m(0). 8 Let k = -53 - -58. Calculate the remainder when 34 is divided by k. 4 Suppose 0 = -3*f + 2*f. Suppose f*w + 4*w - 4*a = 20, -5*w = -a - 5. Suppose 3*h - 90 = -3*g - w*h, -10 = -2*h. What is the remainder when g is divided by 7? 4 Let m = 42 + -25. Suppose -i - 26 = -v, v = 2*v - 3*i - 16. Calculate the remainder when v is divided by m. 14 Suppose 4*u - 3*d - 3 = 0, 0 = -4*u + 2*d - 5 + 3. What is the remainder when u + 3 + 1 + 25 is divided by 14? 12 Suppose 0 = 4*y - x - 55, -3*x - 1 = -4. Calculate the remainder when 55 is divided by y. 13 Suppose -246 = -3*z + 516. What is the remainder when z is divided by 51? 50 Let a = -7 - -3. Let m = a + 41. What is the remainder when m is divided by 19? 18 Suppose 2 = k - 0, 5*k = -5*y + 90. Let h = -11 + y. What is the remainder when h is divided by 4? 1 Suppose 0 = -6*n + n - 3*w + 61, -2*w = n - 8. Calculate the remainder when n is divided by 5. 4 Suppose 0*p = 2*p - 116. Calculate the remainder when p is divided by 22. 14 Let h(z) = -z**3 + 10*z**2 - 7*z - 12. Calculate the remainder when h(9) is divided by 4. 2 Suppose 0 = -8*z + 7 + 65. Let n = -2 - -17. What is the remainder when n is divided by z? 6 Let k = 36 + 13. Let b(t) = -13*t. What is the remainder when k is divided by b(-1)? 10 Suppose 3*n - c = 13 + 23, -3*c = -5*n + 60. What is the remainder when 34 is divided by n? 10 Let t = 43 + -28. Let p(x) = -x**2 - 11*x - 9. What is the remainder when t is divided by p(-9)? 6 Calculate the remainder when (5/(-6))/(-5) + 4807/138 is divided by (22 - -2)*(-4)/(-8). 11 Let i = 14 - -16. Calculate the remainder when 144 is divided by i. 24 Calculate the remainder when (-4)/16 - 201/(-4) is divided by 13. 11 Let c = -124 - -131. What is the remainder when 24 is divided by c? 3 Let r(m) = m**3 - m**2 + 94. Let f be r(0). Suppose -5*v + 79 = 4*z, 4*z + 2*v = -0*z + f. Suppose 0*i = 2*i - 18. What is the remainder when z is divided by i? 8 Calculate the remainder when 8 is divided by 15/(-2)*6/(-9). 3 Let m be (4/5)/(4/(-10)). Let p(z) = z - 27. Let i be p(0). What is the remainder when (-600)/i + m/9 is divided by 8? 6 Let b be (-8 - -1)*19*-2. Let d = b + -160. Suppose -2*k + d = 26. Calculate the remainder when k is divided by 14. 12 Let h(w) = w + 6. Let t be h(-4). Suppose 0 = -5*q, 3*n - 2*q - 63 = t*q. Suppose -2*l + 3*l - 11 = 0. Calculate the remainder when n is divided by l. 10 Let w be 40/25*(-5 + 0). What is the remainder when 70 is divided by 88/5 - w/20? 16 Let n = 70 + 156. Calculate the remainder when n is divided by 12. 10 Suppose i = 2*f + f - 19, -4*i = -3*f + 13. Suppose c = 2*c + 3, 5*r - 147 = 4*c. Calculate the remainder when r is divided by f. 6 Let l(h) be the third derivative of -h**5/60 + h**4/8 - h**3/6 - 2*h**2. Let m be l(1). Suppose 3*k - 11 = m. What is the remainder when 6 is divided by k? 2 Suppose -4*c + c = -1077. Calculate the remainder when c is divided by 60. 59 Suppose -3*u - 5*h = -3*h - 17, 3*h = -u + 8. Calculate the remainder when -2*(-1)/(-2)*-12 is divided by u. 2 Let m = 12 - 0. Suppose 15 = -3*b, -b - 8 = -3*h + m. Let s = 45 + -28. Calculate the remainder when s is divided by h. 2 Suppose -2*m - 26 = -3*m - 5*k, -5*m + 42 = 3*k. Let t = -8 - -17. Calculate the remainder when t is divided by m. 3 Let g(o) = 3*o + 34. Let v(l) = -2*l - 23. Let r(s) = -5*g(s) - 8*v(s). What is the remainder when 13 is divided by r(-7)? 6 Suppose 0 + 92 = 4*d. Suppose -3*l = -2*q - 5*l + 72, 0 = -5*q - 3*l + 180. Suppose 0*v = -3*v + q. Calculate the remainder when d is divided by v. 11 Suppose -4*a = -d - 3, 33 = 3*a + a + 5*d. Let h be (-1)/(-2) - 13/2. Let m(g) = -g**3 - 5*g**2 + 4*g - 8. What is the remainder when m(h) is divided by a? 0 Let j = -35 + 72. Let c = 95 + -82. Calculate the remainder when j is divided by c. 11 Let t(u) be the first derivative of -u**2/2 + 9*u + 1. Let n be t(7). Calculate the remainder when 16 is divided by 2*4 - 4/n. 4 Suppose -22 = 3*r - 97. What is the remainder when r i
{ "pile_set_name": "DM Mathematics" }
se 15, what is 941592 - -4? 941596 In base 5, what is -4 - -1001231433412? 1001231433403 In base 10, what is 295 + 53496? 53791 In base 10, what is 213 - -6020593? 6020806 In base 3, what is 11 + -110021001012210? -110021001012122 In base 10, what is -147 - -707373? 707226 In base 9, what is -422134578 - 5? -422134584 In base 15, what is 2c + -9bb? -98e In base 8, what is -23 - 1273072? -1273115 In base 5, what is 141031003 + -101? 141030402 In base 16, what is c5 - 1a4346? -1a4281 In base 4, what is -300020 - 1030031220? -1030331300 In base 15, what is -caa9 + -3bea? -117a4 In base 3, what is 11222120 - 11122001? 100112 In base 15, what is -4 + 91d9c? 91d98 In base 15, what is -2a - a5ce8? -a5d23 In base 8, what is 13345404 + -41? 13345343 In base 12, what is 2 - 1469ab5? -1469ab3 In base 3, what is -11 - -202110020101211? 202110020101200 In base 5, what is 102100043023 - 10? 102100043013 In base 2, what is 100001 - -110011011101101000? 110011011110001001 In base 11, what is -79118 + 2941? -76287 In base 8, what is -2705 + 271614? 266707 In base 11, what is -466393 + 1a? -466374 In base 8, what is -45204104 + -215? -45204321 In base 13, what is 9c4558c + -11? 9c4557b In base 13, what is 3c900 + 619? 40219 In base 14, what is -10d + 4c73b2? 4c72a3 In base 15, what is -22ca4e + 8? -22ca46 In base 6, what is 3 + -43302142? -43302135 In base 13, what is -2 + -a89aa4a? -a89aa4c In base 4, what is -13221 + -3032311002? -3032330223 In base 12, what is -2026 + 4762? 2738 In base 15, what is 34ec8327 + 0? 34ec8327 In base 2, what is -1110111001 + -101000000001110? -101001111000111 In base 10, what is -450561 - 40? -450601 In base 7, what is 504 + -2155? -1351 In base 2, what is 1000111101111 + 10001111000000? 11010110101111 In base 10, what is -3 + -121482062? -121482065 In base 14, what is 150 - 271d2? -27082 In base 9, what is -3044 - 1634? -4678 In base 10, what is -1044938 + -15? -1044953 In base 3, what is -1202020 + 102002021222? 102000112202 In base 11, what is 5 - -69a7389? 69a7393 In base 2, what is -10010010100111001011111110 - -10010? -10010010100111001011101100 In base 13, what is -2c1b87 - -77? -2c1b10 In base 3, what is -20010121200011020 + 2? -20010121200011011 In base 6, what is -12521501 - -143? -12521314 In base 9, what is -2 - -33576710? 33576707 In base 9, what is -13 - -1021661? 1021647 In base 2, what is -111 - 101000111010000010011001? -101000111010000010100000 In base 15, what is a126631 + -4? a12662c In base 2, what is -101010000 + -10110101011110000? -10110110001000000 In base 10, what is 194609 - -4705? 199314 In base 2, what is -101 + 10001001001110001100100? 10001001001110001011111 In base 14, what is 283ad - -855? 28c24 In base 2, what is -1001110010101011001100110000 + -11? -1001110010101011001100110011 In base 9, what is -11 - -45881131? 45881120 In base 4, what is 101012 + 323302? 1030320 In base 11, what is 2 + 1411118? 141111a In base 15, what is 2 + -1422b0? -1422ad In base 9, what is 153754545 + 1? 153754546 In base 5, what is 34 - -3101110114? 3101110203 In base 3, what is -11 + -21121000012102? -21121000012120 In base 12, what is -5744 + -18753? -22297 In base 11, what is 34 - -205101? 205135 In base 4, what is -1111 - -11010010013? 11010002302 In base 14, what is -125 - 191900? -191a25 In base 3, what is 10211 + 1111221000? 1112001211 In base 16, what is 2d9 + -1d7f0? -1d517 In base 3, what is -100012211211 - 10120011? -100100101222 In base 11, what is -18129311 - 1? -18129312 In base 7, what is 116 - 241421? -241302 In base 5, what is -11240130 + -414? -11241044 In base 2, what is 1100010111100000 - -10011110? 1100011001111110 In base 8, what is 2373065 - 5? 2373060 In base 8, what is 3163 + -2673? 270 In base 6, what is -45521025 - 4043? -45525112 In base 16, what is 61c619b + -2? 61c6199 In base 4, what is -1 - 1131210132? -1131210133 In base 16, what is -ceb + 1c44? f59 In base 11, what is 21 - 24a19a2? -24a1981 In base 4, what is 1022111000 - 20221? 1022030113 In base 11, what is -163 + -195978? -196030 In base 15, what is -32 - -17e0840? 17e080d In base 16, what is 363 + b10? e73 In base 14, what is -1bb - 1378d? -1396a In base 5, what is -201 + -244034? -244240 In base 6, what is 5 - 1522015442? -1522015433 In base 11, what is 63 - 526784? -526721 In base 4, what is -1112020 + -12031? -1130111 In base 8, what is -25 + 407455? 407430 In base 7, what is 352443 - 3032? 346411 In base 15, what is -3 + -128d764e? -128d7652 In base 15, what is -62e2 + -1760e? -1d901 In base 2, what is -110 + -101001011001111010111100? -101001011001111011000010 In base 6, what is -145 - -2200155? 2200010 In base 7, what is 30663506 - 244? 30663232 In base 9, what is 3 - -152585186? 152585200 In base 15, what is 549de - 7aa? 54234 In base 15, what is -2d37 - 201d? -4d55 In base 16, what is c29e96 + -3? c29e93 In base 11, what is 2830 - -109313? 111043 In base 8, what is 5073623 + -53? 5073550 In base 10, what is -39905 - -6577? -33328 In base 16, what is 1c - 7dde? -7dc2 In base 6, what is 111251321 - 3534? 111243343 In base 7, what is 42062465 + -50? 42062415 In base 6, what is 43144 - 2222? 40522 In base 5, what is -4241102300 + 1? -4241102244 In base 16, what is 8b - -29764? 297ef In base 2, what is 1011 - 1100111010011000100? -1100111010010111001 In base 13, what is -243 + -2b440? -2b683 In base 7, what is -3 - -2213632551? 2213632545 In base 15, what is 78 + 260e8? 26171 In base 10, what is -6652374 - -24? -6652350 In base 14, what is 4 + bab599? bab59d In base 7, what is -5 + 1122040? 1122032 In base 2, what is 11101100011010101010100 - -100? 11101100011010101011000 In base 6, what is 1140402 - -434? 1141240 In base 6, what is -2 + -3454455223? -3454455225 In base 6, what is 2 - 23524002503? -23524002501 In base 16, what is -3 + -4f9faac? -4f9faaf In base 5, what is 2400 - -2430032? 2432432 In base 13, what is 12 + -3122a1c? -3122a0a In base 10, what is 610 - -130943? 131553 In base 5, what is 22 - 1123124034? -1123124012 In base 11, what is 827439 + -5? 827434 In base 12, what is -110bb + -3547? -14646 In base 13, what is 8 - -298896? 2988a1 In base 11, what is 4 - 60408a? -604086 In base 14, what is 632980c - 2? 632980a In base 5, what is -1002400 + -344140? -1402040 In base 7, what is 2 + 1406325253? 1406325255 In base 15, what is 38687 + -3c3? 382b4 In base 14, what is -51cb433 - a? -51cb43d In base 4, what is -202301221 + -1311003? -210212230 In base 3, what is -111222201211 - -1001220? -111221122221 In base 2, what is 1001001101010111111100 - -10000? 1001001101011000001100 In base 7, what is 2051564 - 122? 2051442 In base 16, what is -53 + 5ed44? 5ecf1 In base 6, what is -1233523 + -430? -1234353 In base 14, what is 2814 - 119c? 1656 In base 5, what is 2144301322 - 0? 2144301322 In base 4, what is -203000233212 + 10? -203000233202 In base 9, what is -883 - -61? -822 In base 14, what is 342 - -6210? 6552 In base 2, what is -1011011111110 + 11010010101100? 1110110101110 In base 11, what is -623a81 + -25? -623aa6 In base 15, what is -107377a - -5? -1073775 In base 9, what is -5 - 328187? -328203 In base 5, what is 113232300113 + -4? 113232300104 In base 13, what is 9c51c3c + -9? 9c51c33 In base 13, what is -22a - 66383? -665b0 In base 2, what is -11000000101010000111001010 - -1010? -11000000101010000111000000 In base 13, what is 4947b + -22? 49459 In base 13, what is -1b93 - a08? -289b In base 10, what is -328129836 + -4? -328129840 In base 9, what is 5174 - -22543? 27727 In base 4, what is 300 + 1032101231? 1032102131 In base 5, what is 1240240402 + -11? 1240240341 In base 4, what is 130 + 301301331012? 301301331202 In base 11, what is -41aa - -a460? 6261 In base 3, what is 1001102202220020 + -22? 1001102202212221 In base 16, what is -10426 - 49a? -108c0 In base 11, what is 457343 + -124? 45721a In base 7, what is 203 - 142033165? -142032662 In base 8, what is -12 - -3051501? 3051467 In base 8, what is 313403 - 413? 312770 In base 12, what is 5 + 813202? 813207 In base 4, what is -120333 + 212120? 31121 In base 2, what is -11000110111101111111101010 - 1001? -11000110111101111111110011 In base 14, what is 3 + -1a141655? -1a141652 In base 7, what is 11541425 - 14? 11541411 In base 7, what is 2623210 + -53? 2623124 In
{ "pile_set_name": "DM Mathematics" }
r(o) = -4*o**2 + j*o**2 + 3*o**2. What is r(f(y))? -25*y**4 Let j(h) be the second derivative of 0 + 0*h**3 + 1/6*h**4 - 2*h + 0*h**2. Let r(q) be the first derivative of -q**2 + 1. Calculate r(j(o)). -4*o**2 Let z(w) = -6*w - 5. Let v(f) = -7*f - 6. Let c(a) = 5*v(a) - 6*z(a). Suppose d + 0*d = 4. Let g(p) = -4 + d + 2*p. Determine c(g(l)). 2*l Let v(k) = -3*k**2. Let q(s) = 7*s + 44. Calculate v(q(c)). -147*c**2 - 1848*c - 5808 Suppose 12 = 5*w - 9*w. Let i = 3 + w. Let b(l) = -l - l + i*l + 7*l. Let o(d) = -d**2. Determine o(b(t)). -25*t**2 Let r(y) = -10*y. Let g(o) = 48*o + 33. Let d(l) = -3*l - 2. Let k(c) = -33*d(c) - 2*g(c). Let u(q) = -7*k(q) - 2*r(q). Let s(p) = p. Give u(s(t)). -t Let c(w) = w**2. Let g(x) = 3761*x. Calculate c(g(o)). 14145121*o**2 Let p(a) = 51*a**2 + 16*a - 2. Let n(b) = b. Give p(n(v)). 51*v**2 + 16*v - 2 Let x(b) = 3*b**2. Let h(p) = 73*p**2. Determine x(h(z)). 15987*z**4 Let f(y) = -14*y + 17. Let d(r) = 5*r - 6. Let s(o) = -17*d(o) - 6*f(o). Let m(w) = 27*w. Determine s(m(g)). -27*g Suppose 3*n - 9 = -t, 2*t - 4*n + 0*n = 8. Let s(u) = 9*u**2 + 4*u**2 + 2*u**2 - t*u**2. Let m(f) = -2*f**2. Determine m(s(k)). -162*k**4 Let i(r) = -2*r**2. Let m be 2/(-9) + 376/72. Suppose 6*h - m*h - 2 = 0. Let w(k) = -4*k**2 + 4*k**h + 5*k**2. What is i(w(d))? -50*d**4 Let k(c) = -9*c + 6*c + 2*c + 0*c. Let r(g) = 7*g - g - 2*g. What is r(k(l))? -4*l Let r(x) = -2*x**2 - 39*x. Let f(h) = -h. Determine r(f(w)). -2*w**2 + 39*w Let l(h) be the second derivative of h**3/6 + 4*h. Let s(k) = 9*k**2. Determine s(l(f)). 9*f**2 Let u(z) = -2*z + 118. Let n(y) = 4*y. Determine u(n(v)). -8*v + 118 Let m(x) = x**2. Let u(a) = -153*a**2. Calculate m(u(i)). 23409*i**4 Let q(k) = -38*k**2. Let g(f) = 5*f. Calculate q(g(y)). -950*y**2 Let u(f) = 145 + 2*f - 145. Let b(g) = -11*g. Calculate b(u(h)). -22*h Let y(p) be the second derivative of p**4/4 - p. Let v(u) = -3*u - 4. Let r(t) = 25*t + 34. Let k(i) = 6*r(i) + 51*v(i). Calculate k(y(o)). -9*o**2 Let p(n) be the second derivative of -n**3/3 - n. Let t(k) = 22*k. Determine p(t(u)). -44*u Let u(g) = -237*g. Let i(c) = -21*c**2. Calculate i(u(x)). -1179549*x**2 Let i(a) = a**2. Suppose y = 5*u - 0*y - 35, 3*u - 2*y = 28. Let p(h) = u*h - 13 + 2*h + h. Let v(k) = 4*k - 6. Let f(w) = -6*p(w) + 13*v(w). Give i(f(b)). 4*b**2 Let h(f) = -2*f**2. Let g(s) = 6*s**2 - 4*s**2 + 2*s**2. What is h(g(d))? -32*d**4 Let q(k) = 6*k**2 - 1. Let j be q(1). Let c(d) = d**2 - 3*d**2 - 4*d**2 + j*d**2. Let u(x) = -x**2. Calculate c(u(n)). -n**4 Let y(r) = r**2 - 2*r - 2. Let c be y(3). Suppose 0 = -0*f + 3*f - 6. Let j(k) = -2*k**2 - c + 0*k**f + 1. Let i(t) = t. Calculate i(j(s)). -2*s**2 Let r(d) = -5*d**2. Let s(c) = -59*c**2. Determine s(r(v)). -1475*v**4 Let u(k) = -2*k**2. Let p(o) = 4555*o**2. Determine u(p(i)). -41496050*i**4 Let u(b) = -5*b. Let l(m) = 7*m - 31*m + 2*m + 11*m. Give u(l(k)). 55*k Let o(b) = b**2 + 17 - 17. Let v(q) = q. What is o(v(p))? p**2 Let x(m) = -2*m - 1. Let w(o) = 2*o. Determine w(x(j)). -4*j - 2 Let s be 2/3 + (-7)/(-3). Let x(m) = s*m - m + 0*m. Let n(p) be the second derivative of -p**4/6 + 29*p. Determine n(x(z)). -8*z**2 Let r(x) = 2*x. Let k(m) = 2*m + 5. Give r(k(u)). 4*u + 10 Let k(s) = 2*s**2 + 5. Let u(o) = o**2 + 2. Let z(n) = 2*k(n) - 5*u(n). Let c be (-2)/(-3) + (-14)/(-6). Let x(f) = 5*f - f - c*f. Determine z(x(i)). -i**2 Let u(v) = -v. Let n(p) = -p**2 - 2*p - 2. Let x(z) = 3*z**2 + 5*z + 5. Let f(k) = -5*n(k) - 2*x(k). Give u(f(a)). a**2 Let f(i) = 6*i**2. Let w(h) be the second derivative of h**4/3 - 17*h. What is f(w(c))? 96*c**4 Let q(y) = y**2. Let h(w) = 0*w + w + w. Determine h(q(u)). 2*u**2 Let a(v) = -v. Suppose -7 + 19 = 3*f. Let w(y) = 4 - 4 - f*y. Calculate w(a(l)). 4*l Let h(d) be the first derivative of -d**2/2 - 4. Let a(y) be the first derivative of -y**2/2 - 2. Determine a(h(t)). t Let l(c) = -3*c**2. Let w(b) be the first derivative of -2*b**2 + 5. Determine w(l(t)). 12*t**2 Let l(t) = -16*t**2. Let b(o) = -19*o**2. Determine b(l(k)). -4864*k**4 Let y(b) = 9*b. Let t(i) = -i + 1. Determine t(y(a)). -9*a + 1 Let i(g) = -3*g**2. Let k(c) be the third derivative of -c**6/360 - c**3/3 - 4*c**2. Let v(x) be the first derivative of k(x). What is v(i(r))? -9*r**4 Let d(w) = -43*w**2 - 2. Let v(h) = h**2 - 1. Let u(x) = x**2 + 1. Let i(o) = u(o) + v(o). Give d(i(t)). -172*t**4 - 2 Let u(o) = -6*o**2. Let n(x) be the first derivative of -x**3/3 + 9. Calculate u(n(s)). -6*s**4 Let z(p) be the first derivative of -3 - 3/2*p**2 + 0*p. Let q(w) = -2*w. What is q(z(f))? 6*f Let y(r) = 4*r + 5. Let h(u) = 4*u + 6. Let f(w) = -5*h(w) + 6*y(w). Let c(p) = -3*p**2. Determine f(c(a)). -12*a**2 Let k(m) = -m + 1. Let g(n) = 8*n - 5. Let a(c) = -g(c) - 6*k(c). Let y(z) = z. Calculate y(a(o)). -2*o - 1 Let p(v) = -17*v**2. Let x(r) = 2*r - 13. Calculate p(x(a)). -68*a**2 + 884*a - 2873 Let a(n) = 2*n**2. Let m(r) = 226 - 226 + r. What is m(a(q))? 2*q**2 Let i(o) = 2*o**2. Let m(q) be the second derivative of q**4/6 + 8*q. Give i(m(y)). 8*y**4 Let d(x) = 4*x**2. Let n(q) = -5*q**2 - q - 1. Let t(m) = m**2 + m + 1. Let b(r) = -n(r) - t(r). Give b(d(w)). 64*w**4 Let w(d) = 2*d + 0*d - 4*d. Let c(s) = -s**2 - s. Let x(b) = 8*b**2 + 7*b. Let k(z) = 14*c(z) + 2*x(z). What is w(k(m))? -4*m**2 Let r(g) = -2*g - 16. Let n(l) = -127*l**2. Determine n(r(m)). -508*m**2 - 8128*m - 32512 Let w(o) = -32*o**2. Let n(t) = -44*t**2. Determine n(w(s)). -45056*s**4 Let q(v) = -v - 1. Let f(w) = 5*w + 4. Let j = 8 + -7. Let r(d) = j*f(d) + 4*q(d). Let x(k) = 3*k**2. Determine r(x(n)). 3*n**2 Let j(r) = -18*r**2. Let c(a) = -a**2 - 4080 + 4080. Determine j(c(s)). -18*s**4 Let l(x) = -8*x. Let m(u) = 14*u**2 - 2*u**2 - u**2 - 9*u**2. Determine l(m(a)). -16*a**2 Let g(z) = 14*z**2. Let l(s) be the third derivative of -s**4/24 + 14*s**2. What is g(l(o))? 14*o**2 Suppose 2*r = 5*m - 84, -74 = -4*m + 4*r + r. Let h(x) = -m + 16 - 2*x. Let n(c) = -6*c. What is h(n(s))? 12*s Let c(x) = -2*x**2. Let f(l) be the second derivative of l**5/30 + l**2 + 2*l. Let s(y) be the first derivative of f(y). Calculate s(c(z)). 8*z**4 Suppose 0 = 10*f - 8*f - 9*f. Let z(b) be the third derivative of -1/20*b**5 + f*b + 4*b**2 + 0*b**3 + 0 + 0*b**4. Let j(d) = 2*d. Give j(z(a)). -6*a**2 Let g(t) = 71*t. Let w(c) = -3*c**2 - 2*c + 2. Let y(m) = 17*m**2 + 11*m - 11. Let s(f) = -11*w(f) - 2*y(f). Calculate g(s(h)). -71*h**2 Let k = 6 - 1. Let a(j) = -2 + 2*j + 2 - k*j. Let o(p) be the first derivative of p**2 - 2. Give o(a(m)). -6*m Let r(j) = 48*j**2 + j + 4. Let f(p) = 47*p**2 + p + 5. Let l(w) = -4*f(w) + 5*r(w). Let i(h) = h. Determine l(i(s)). 52*s**2 + s Let a(f) = -2*f - 1 + 1. Let l(s) = 107*s**2 - 54*s**2 - 52*s**2. Give l(a(p)). 4*p**2 Let s(r) = -928*r. Let l(o) = -o**2. Give l(s(j)). -861184*j**2 Let m(h) = h. Let c(w) = 12*w. Let v(z) = c(z) - 9*m(z). Let k(g) = 4*g - g + 0*g. Determine v(k(d)). 9*d Let q(w) = 2*w. Let m(x) = -7*x - 2*x**2 + 7*x - x**2. Let u(j) = -6*j**2. Let z(a) = -5*m(a) + 2*u(a). What is q(z(k))? 6*k**2 Let a be (-24)/(-4)*(-3)/(-9). Let p(m) = 24 - 24 - a*m. Let z(i) = i**2. Determine z(p(l)). 4*l**2 Let u(x) = -5*x**2 - 9*x - 7*x + 16*x. Let z(v) = -2*v. Determine u(z(d)). -20*d**2 Let s(o) = -13*o - 11*o**2 - 14 + 4*o + 5. Let z(l) = 3*l**2 + 2*l + 2. Let i(v) = -2*s(v) - 9*z(v). Let n(p) = -2*p**2. Give i(n(c)). -20*c**4 Let d(z) = z. Let k(x) = -x**3 + 7*x**2 - 5*x - 4. Let f be k(6). Let l(m) = -f*m - 7*m + 6*m. What is l(d(r))? -3*r Let r(j) = -10*j + 69. Let y(m) = -m**2. Determine y(r(v)). -100*v**2 + 1380*v - 4761 Let z(v) = -2*v. Let i(x) = x + 1. Let q = -2 + 3. Let t(u) = 10*u + 8. Let f(r) = q*t(r) - 8*i(r). What is z(f(o))? -4*o Suppose -2*i + 8 = 4*k, -3*k - 2 = i - 7*k. Let x(q) = 3*q + 0*q + i*q - q. Let r(b) = -2*b. Give x(r(w)). -8*w Let d(h) = 4 - 5 + 10 - 2*h. Let g(m) be the first derivative of m - 5. Let r(i) = -2*d(i) + 18*g(i). Let p(v) = 2*v**2. Calculate r(p(y)). 8*y**2 Let k(b) = b**2. Suppose -5*l + 45 = -2*h, -1 = -2*l - 4*h + 41. Let g(f) = l*f - 2*f - 10*f - 2*f. Calculate k(g(z)). 9*z**2 Let u(i) = i - 3. Let r(f) = -8 + 3*f - 2*f + 2*f. Let y(t) = -3*r(t) + 8*u(t). Let a(j) = 43*j - 18*j - 14*j - 14*j. Determine y(a(h)). 3*h Let x(a) be the
{ "pile_set_name": "DM Mathematics" }
-3*z + 5 - w = 0. Solve -3*h + 6 + 3 = p for h. 3 Let u(b) = 4*b**2 - 4. Let y be u(2). Suppose 3*q - y = 2*q. Solve q = -4*f - 4 for f. -4 Let v = -1328 - -1535. Solve 211*m = v*m - 4 for m. -1 Let g be (-23)/(-7) + 2/(-7). Suppose -3*o = -4*b + 6, -4*o + 18 - 1 = g*b. Let x be 3*45/(-216)*-8. Solve -h = -x + b for h. 2 Let b(r) = r**2 + r + 1. Let k = 106 - 56. Let q be (-4)/10 - 80/k. Let j be b(q). Solve -j*f + 16 = f for f. 4 Let q(w) be the second derivative of -w**4/12 - 10*w**3/3 - 17*w**2/2 - 33*w. Let c be q(-19). Solve 2*s = -c*s - 16 for s. -4 Let l be (-60)/9 + (-6)/(-9). Let g(m) = -m**2 - 10*m - 21. Let i be g(l). Solve -x = -i*x + 8 for x. 4 Suppose 6*r = 6 + 42. Let g be 14/r - 19/(-76). Solve 3*p = g*p for p. 0 Suppose 5 = -p - 3*q, 4*p - 15 + 3 = -4*q. Solve p*d + 17 = -11 for d. -4 Suppose 10*z - 2060 = -600. Solve -138*n + 40 = -z*n for n. -5 Suppose 0*t = t - 2. Suppose -15 = t*j - 5*h, j - 3*j + 4*h - 10 = 0. Suppose -9*f + 29 = 11. Solve -n = -f*n + j for n. 5 Let q(w) = 2*w + 4. Let h be q(5). Suppose 2*g + h = 3*j, -j + 3*g = -4*j + 9. Let a be 7/5 + (-15)/(-25). Solve 4*s + j = a*s for s. -2 Let g(z) = z + 6. Let d be g(-6). Let m be 55/20 + (-1)/(-4). Suppose -3*f + 13 = 5*j, 4*f + 9 = 5*j + m. Solve -x - j + 0 = d for x. -2 Let t(j) = -j**2 - 10*j - 9. Let l = -9 + 9. Suppose o - 4 = -l*o, 0 = -r - 4*o + 7. Let g be t(r). Solve g = -5*c + 12 + 3 for c. 3 Suppose -3*c + 48 = -0*c. Let k = 25 - c. Suppose 4 = -r, s - k = -0*s - r. Solve -2*m + 5 - s = 0 for m. -4 Suppose a = 3*a - 38. Let b = 29 - a. Let y be (-7 + b)/(3/2). Solve y = -3*d - 1 for d. -1 Suppose -i - 24 = 3*i. Let k be (-4)/i*36/8. Suppose -2*b + k = -7. Solve 0 = -5*v - b - 15 for v. -4 Let t(c) = 12*c - 32. Let n be t(3). Solve 2*l = l + n for l. 4 Let k be 3/9 + (-166)/(-6). Let a be (44/16)/(7/k). Solve 0 = 4*q + 27 - a for q. -4 Let z = 784 - 782. Solve -z*g + 16 = 2*g for g. 4 Let y = -97 + 69. Let w be (-2)/13 + y/(-13). Solve 11 = w*k + 1 for k. 5 Let r be (-2)/(-2) - (2 + -4). Let h = 24 - 16. Solve 0 = -r*g + h*g + 5 for g. -1 Suppose 26 + 14 = 5*f. Let t be (-1 - -1)/(-30 + 28). Solve t*l = 2*l + f for l. -4 Let n = 8 + -14. Let q be (12/(-5))/(n/(-30)). Let h be -9*(44/q + 3). Solve -4 = -2*k + h*k for k. -1 Suppose -5 = -2*q + 2*g + 7, -5*q - 4*g + 12 = 0. Let f be 2/(q/(-14) - 0). Let k = f - -7. Solve k*o = -4*o - 4 for o. -1 Suppose 0 = -21*q + 24*q + 237. Let v = q + 79. Suppose 2*x = -x. Solve v*h - 5*h + 15 = x for h. 3 Let y(d) = -4*d + 4. Let g be y(-1). Solve g*m = 3*m for m. 0 Let g(u) = u + 2. Let f be g(-2). Suppose f*m - 14 = -7*m. Solve 0 = m*h - 4 for h. 2 Suppose -3 = c, c + 4*c + 9 = 2*b. Let m be (b/(-2))/(27/36). Let h = m + 2. Solve -h*g + 16 = -0*g for g. 4 Suppose -5*g = m - 24, -8 + 4 = -5*g + 4*m. Suppose -r = -j - g*r, -5*j + 5*r = -20. Solve 0 = 4*c - j*c - 1 for c. 1 Suppose -y + 18 = y. Let z(h) = h + 6. Let q be z(3). Let w = q - y. Solve w*r - 2*r = 8 for r. -4 Let w = 9 + -5. Let m = 6 - w. Let y = -1173 + 1180. Solve y*x - m*x = 0 for x. 0 Let o be 60/18 - (-1)/(-3). Suppose -3*p - 5*x + 5 = 8, -o*p = -2*x + 3. Let l be 3 + p - (6 + -6). Solve -5 - 5 = -l*q for q. 5 Let q(n) = -9*n - 5 + 3*n + 7*n. Let h be (-2)/(-6) - 52/(-6). Let b be q(h). Solve -b*c = -3*c for c. 0 Let p = -7 - -12. Suppose p*c - 68 = c. Let q = -15 + c. Solve -q*u + 4 - 2 = 0 for u. 1 Let b(t) = 5*t - 38. Let y be b(-11). Let n = 97 + y. Solve 0*j = 2*j - n for j. 2 Let w(b) be the first derivative of -b**4/2 + b**3/3 + 2*b**2 + 2*b - 15. Let p be w(-1). Solve 4 - p = r for r. 3 Let x be (40/(-70))/(2/(-119)). Let z = x + -31. Solve o - z = 2*o for o. -3 Let l = -80 + 95. Solve 0 = -2*f - f + l for f. 5 Let y = 5 - -8. Suppose -2*n + 0*n + 2 = 0, -4*g - 5*n + y = 0. Solve -3*v = -2*v - g for v. 2 Let p = -5 + 9. Let y = 5 - -24. Let n = 32 - y. Solve 2*h - p = n*h for h. -4 Let s be 15/7 + 10/(-70). Suppose 2*y = w + 1, -3*y - 2 = -w - s*y. Solve 4*h - 1 = w*h for h. -1 Suppose 2*s + 4*q - 4 = 0, -5*q = -5*s + s + 21. Solve -7*d = -s*d + 12 for d. -4 Let f = 15 - 11. Suppose 0 = 3*c - 4*y + 13, y + 0*y = -4*c - 49. Let k(h) = h**2 + 10*h - 8. Let w be k(c). Solve -w*v + 2 = -f*v for v. -2 Let w be 6/(35/5 - 5). Suppose 0 = w*h - 13 - 8. Solve -h*r = -3*r for r. 0 Suppose q + 2*g = -3*g + 20, 2*g = 5*q + 8. Suppose -p + 8 + q = 0. Solve 0*i - p = -4*i for i. 2 Suppose 3*u - 2*d - 46 = 0, -2*u + 3*d - 8 = -3*u. Let b be u/8 + 21/(-28). Solve 2*a - a - b = 0 for a. 1 Let q(l) = l**3 - 6*l**2 + l + 17. Let s be q(5). Let c be 1*s/(-4 - -1). Solve -c = -b + 3 for b. 4 Suppose 0 = -6*b + 7 + 17. Suppose -b*g + 3*a = -6, 8*g - 3*g - 2 = a. Solve g = w - 5*w + 20 for w. 5 Suppose -7*n + 36 = -3*n. Suppose -3*o - 4 - 34 = -5*z, 0 = 2*z + 2*o - 12. Suppose -n = -4*k + z. Solve -v = -k*v + 6 for v. 2 Suppose 0*o - 5*o = 0. Suppose -5*c + o = -20. Let t = c + -1. Solve -t*k + 1 - 7 = 0 for k. -2 Let y be 3*((-78)/9 + -1). Let a = y - -32. Solve 0 = -a*z + 3 + 3 for z. 2 Let x(r) = -2*r**3 - 3*r**2 + 3*r - 4. Let l be x(-3). Let u = 40 + -17. Let v = u + -18. Solve 6 = -v*b - l for b. -4 Let v(o) = o**3 - 13*o**2 + 13*o - 10. Let y be v(12). Suppose 14 = 4*r + 2*z, -z - 7 = -r + y*z. Solve -6*t = -r*t - 6 for t. 3 Let i be (-2 - -3)*(1 - -4). Suppose -o - i*n = 6, -3*n + 3 = 5*o + 11. Let c = 2 + o. Solve q + 6 - c = 0 for q. -5 Suppose 4*s + 8 = 2*u, -s = u + s. Let n = 9 - 15. Let a be 5 - ((-3 - -6) + n). Solve -a = -u*g - 2*g for g. 2 Let f be (2*(-5 - -4))/2 - -4. Let v be 1 - (-1)/(1*-1). Suppose -f*z = -5*n - 9, n + v*n + 12 = 4*z. Solve -o = -n*o for o. 0 Suppose 2*c - 24 = -2*j - 3*c, -5*j - c = -60. Let w be (-4)/(-4 + 2 + 0). Let k = w - -1. Solve 0 = 3*t + k - j for t. 3 Suppose 4*s + 8 = 0, -3*s + 8 = 3*d - s. Suppose -d*c - c = -25. Let o = 335 - 331. Solve -3*t = -o*t - c for t. -5 Suppose -5 = -4*s - 1. Suppose -3*u + 8 = -s. Let l be 18/(-117) + 2*(-2)/(-26). Solve t - u = -l for t. 3 Suppose -14 = -2*x - 2*a, 36 = x - 3*a + 21. Solve -x*o - 24 = -3*o for o. -4 Let t be (-112)/(-18) + (-20)/90. Solve -h + t = 2*h for h. 2 Let o(x) = -x - 8. Let s be o(-10). Let a(h) = -s*h**3 - 3 + 3*h**3 - 8*h**2 + 1 + 8*h. Let r be a(7). Solve -4*f + r = f for f. 1 Let t = 2 + 0. Suppose t*k - 26 = 2. Solve 4 = -2*y + k for y. 5 Suppose 8 = -3*w + 17. Suppose -6*s + 34 = -3*s + 2*m, -w*s - 5*m = -40. Solve p + s = -p for p. -5 Let n = -68 - -68. Suppose 0 = -4*f - 1 + 9. Suppose -x - 44 = -2*p, f - 18 = -p - x. Solve 5*a - p = -n*a for a. 4 Suppose 3*l = -0*l + 30. Suppose -18 = -5*r + 7. Suppose 2 = -o + r*i, -4*i + 3*i = o - 4. Solve l = o*y - y for y. 5 Suppose 3 = 2*u - 1. Suppose -u*n + 34 = 2*h, -9 - 25 = -2*h - 3*n. Solve 3*w = -h + 2 for w. -5 Let v(i) = i**2 + 2*i - 5. Let s be v(-5). Suppose 5*f + s = 20. Let c be -1 + (-2)/f + 6. Solve o = c - 1 for o. 3 Suppose 26*h = 6*h + 500. Solve -4*x + h*x = 0 for x. 0 Let x = -48 + 66. Solve -z = 17 - x for z. 1 Suppose -k + 10 = -0*k + 4*a, -k = -3*a + 4. Let f(b) be the first derivative of -b**3/3 + 3*b**2/2 + 12. Let d be f(k). Solve d*r = -1 - 3 for r. -2 Let d = -3 + 13. Suppose -i - 3*r - 3 + d = 0, 5 = i + 2*r. Solve 2*b + i = -9 for b. -5 Let y(q) = q**3 - 26*q**2 + 23*q + 51. Let b be y(25). Let t be (0 - -4) + (3 + b - -2). Solve 15 + t = 5*l for l. 5 Suppose w + 4*w + 2*z = 5, -3*w - 4*z + 3 = 0. Solve -3*q + 5 + w = 0 for q. 2 Let r = -18 - -15. Let v be -2 + (-1 - 3/r). Let x be -6 - v - -2*4. Solve -2*s - 2*s = x for s. -1 Let t be ((-1)/1)/((-5)/(-20)). Let x = t + 7. Suppose -4*i + 2*l = -2*l + 4, x*l - 3 = 5*i. Solve i = -2*q - 3*q - 25 for q. -5 Let x = 950 + -925. Solve 5*v = x - 0 for v. 5 Let z be (5 - (-35)/(-10)) + 51/6. Solve -z = 4*v - 26 for v. 4 Let g(r) = r**3 - 6*r**2 + 40*r - 172. Let l be g(5). Solve l*t = 4*t for t. 0 Let g = -28 - -2. Let o = 29 + g. Solve 4*h + 7 - o = 0 for h. -1 Let c be (-5)/10 - 135/6. Let x = c + 42. Let i = 27 - x. Solve -4*k - 8 - i = 0 for k. -4 Let k(p) = p**3 + 9*p**2 - 12*p - 13. Let w be k(-10). Let d be 50/105*39 + 3/w. Solve -5*g - d = -4 for g. -3 Let z(p) = -2*p + 0*p + 5 + p + 2*p. Let u be z(0). Suppose -h - 4 = -4*d, 4*h - 5*d = 1 + u. Solve 0 = -2*m - 2 - h for m. -3 Let n(x) = 6*x**2 + 3*x - 8. Let v be n(-4). Let c =
{ "pile_set_name": "DM Mathematics" }
38244526? 2, 17, 127, 521 What are the prime factors of 2186712455? 5, 107, 347, 11779 List the prime factors of 195588897. 3, 7, 43, 167, 1297 List the prime factors of 61662345. 3, 5, 4110823 List the prime factors of 134347666. 2, 37, 1815509 List the prime factors of 473824531. 47, 73, 138101 List the prime factors of 2585089935. 3, 5, 19, 3023497 List the prime factors of 196124167. 196124167 What are the prime factors of 446956335? 3, 5, 7, 137, 10357 What are the prime factors of 6668764223? 11, 29, 79, 409, 647 List the prime factors of 609429272. 2, 97, 785347 List the prime factors of 72420844. 2, 367, 49333 What are the prime factors of 318647159? 318647159 What are the prime factors of 119092677? 3, 11, 37, 8867 List the prime factors of 64935765. 3, 5, 283, 5099 List the prime factors of 897978152. 2, 19, 53, 111467 What are the prime factors of 138107552? 2, 11, 392351 List the prime factors of 3178360888. 2, 19, 20910269 List the prime factors of 140000369. 140000369 What are the prime factors of 975314598? 2, 3, 37, 4393309 What are the prime factors of 16856837? 127, 331, 401 List the prime factors of 593982. 2, 3, 32999 List the prime factors of 17313296. 2, 7, 11, 13, 23, 47 What are the prime factors of 206814327? 3, 67, 797, 1291 What are the prime factors of 64416634? 2, 32208317 What are the prime factors of 1501788574? 2, 11, 13, 5251009 What are the prime factors of 19839256? 2, 31, 79997 List the prime factors of 1086340930. 2, 5, 2791, 38923 List the prime factors of 429708540. 2, 3, 5, 23, 101, 3083 What are the prime factors of 376901768? 2, 47112721 What are the prime factors of 3468862377? 3, 167, 2307959 What are the prime factors of 100299164? 2, 7, 97, 36929 What are the prime factors of 1468135624? 2, 19, 67, 144161 What are the prime factors of 7604947823? 11, 691358893 What are the prime factors of 612917543? 7, 37, 2366477 What are the prime factors of 75259805? 5, 41, 367121 List the prime factors of 47925962. 2, 7, 317, 10799 What are the prime factors of 67158387? 3, 7462043 List the prime factors of 185044594. 2, 7, 3581, 3691 What are the prime factors of 129927023? 23, 5649001 What are the prime factors of 444734028? 2, 3, 701, 17623 What are the prime factors of 3590636439? 3, 13, 43, 167, 12821 List the prime factors of 20605032. 2, 3, 7, 40883 What are the prime factors of 1091865041? 199, 5486759 What are the prime factors of 374970339? 3, 19, 131, 881 List the prime factors of 1002690. 2, 3, 5, 13, 857 List the prime factors of 287788621. 97, 2966893 List the prime factors of 136046848. 2, 7, 31, 79 What are the prime factors of 112344429? 3, 47, 796769 List the prime factors of 2132456452. 2, 7, 76159159 List the prime factors of 52814073. 3, 13, 1354207 List the prime factors of 2442133976. 2, 241, 677, 1871 List the prime factors of 325942337. 7, 61, 67, 11393 List the prime factors of 55762739. 19, 2934881 What are the prime factors of 133984747? 13, 10306519 What are the prime factors of 4384422604? 2, 17, 677, 95239 List the prime factors of 39852348. 2, 3, 19, 103, 1697 List the prime factors of 3906692300. 2, 5, 7, 139, 40151 List the prime factors of 37096871. 7, 397, 1907 What are the prime factors of 1770613498? 2, 113, 7834573 List the prime factors of 82704768. 2, 3, 37, 5821 List the prime factors of 567724211. 109, 5208479 List the prime factors of 14157881. 14157881 List the prime factors of 258799391. 233, 1110727 What are the prime factors of 117700139? 117700139 What are the prime factors of 205476932? 2, 51369233 List the prime factors of 33483282. 2, 3, 7, 19, 41959 List the prime factors of 97447325. 5, 101, 38593 List the prime factors of 6135061320. 2, 3, 5, 17, 211, 4751 List the prime factors of 646975947. 3, 23, 9376463 List the prime factors of 219030657. 3, 73010219 List the prime factors of 663586317. 3, 23, 1068577 List the prime factors of 416693564. 2, 7, 43, 346091 List the prime factors of 753031046. 2, 376515523 List the prime factors of 17392402. 2, 29, 101, 2969 List the prime factors of 2040894847. 199, 1439, 7127 What are the prime factors of 2360778085? 5, 139, 3396803 What are the prime factors of 2250901726? 2, 1125450863 List the prime factors of 173664132. 2, 3, 14472011 What are the prime factors of 67083091? 19, 3530689 List the prime factors of 246212703. 3, 11, 92111 What are the prime factors of 31020267? 3, 10340089 What are the prime factors of 310230092? 2, 397, 195359 What are the prime factors of 19868089? 19868089 List the prime factors of 3495787254. 2, 3, 43, 1505507 What are the prime factors of 18707630? 2, 5, 1033, 1811 List the prime factors of 2769496263. 3, 23, 13379209 List the prime factors of 239397294. 2, 3, 23, 1734763 What are the prime factors of 928798573? 29, 281, 293, 389 What are the prime factors of 67197868? 2, 16799467 What are the prime factors of 15438724? 2, 7, 227, 347 What are the prime factors of 1312160078? 2, 359, 797, 2293 What are the prime factors of 34201399? 17, 283, 7109 What are the prime factors of 44825682? 2, 3, 11, 281, 2417 What are the prime factors of 32485702? 2, 83, 195697 List the prime factors of 48141339. 3, 41, 391393 What are the prime factors of 1756070757? 3, 7, 83, 335833 What are the prime factors of 36191885? 5, 7238377 List the prime factors of 1699490276. 2, 11, 38624779 List the prime factors of 924741101. 41, 43, 431, 1217 List the prime factors of 819115525. 5, 32764621 List the prime factors of 128061827. 128061827 What are the prime factors of 7537274440? 2, 5, 37, 2221, 2293 List the prime factors of 524773494. 2, 3, 7, 59, 73, 967 What are the prime factors of 2197844934? 2, 3, 41, 631, 14159 What are the prime factors of 33213352? 2, 29, 239, 599 What are the prime factors of 508037352? 2, 3, 19, 1114117 List the prime factors of 47382122. 2, 787, 30103 List the prime factors of 1179436642. 2, 17, 23, 37, 40763 What are the prime factors of 193581282? 2, 3, 617, 52291 What are the prime factors of 76215409? 76215409 List the prime factors of 383186141. 13, 23, 271, 4729 List the prime factors of 4410062. 2, 2205031 What are the prime factors of 1566338950? 2, 5, 11, 199, 1301 What are the prime factors of 2621485435? 5, 173, 3030619 What are the prime factors of 400333227? 3, 7, 1249, 15263 List the prime factors of 720070616. 2, 37, 2432671 List the prime factors of 6308890. 2, 5, 7, 90127 List the prime factors of 86059869. 3, 7, 4098089 List the prime factors of 1319149273. 13, 7805617 What are the prime factors of 686944952? 2, 43, 1996933 What are the prime factors of 604651909? 647, 934547 What are the prime factors of 159393590? 2, 5, 1223, 13033 List the prime factors of 57175786. 2, 28587893 What are the prime factors of 59373846? 2, 3, 7, 29, 16249 List the prime factors of 60213620. 2, 5, 3010681 List the prime factors of 30261056. 2, 7, 67547 What are the prime factors of 326645091? 3, 211, 172009 What are the prime factors of 259203109? 11, 97, 242927 What are the prime factors of 50761208? 2, 1889, 3359 List the prime factors of 64184452. 2, 17, 113, 8353 List the prime factors of 119496862. 2, 59748431 What are the prime factors of 40587816? 2, 3, 37, 45707 What are the prime factors of 74079479? 257, 288247 What are the prime factors of 4235475034? 2, 7, 1511, 28603 What are the prime factors of 37832758? 2, 18916379 List the prime factors of 6831556882. 2, 107, 31923163 List the prime factors of 4198995395. 5, 7, 167, 718391 List the prime factors of 41757013. 29, 67, 21491 What are the prime factors of 89125123? 89125123 What are the prime factors of 4855485430? 2, 5, 17, 28561679 What are the prime factors of 62001048? 2, 3, 37, 69821 List the prime factors of 3080700121. 3080700121 List the prime factors of 1435984613. 7, 43, 4770713 What are the prime factors of 732368792? 2, 8269, 11071 What are the prime factors of 1142200968? 2, 3, 47591707 List the prime factors of 1283130543. 3, 983, 435107 List the prime factors of 1196842691. 11, 108803881 What are the prime factors of 2228700547? 29, 76851743 List the prime factors of 1871322332. 2, 11, 43, 989071 What are the prime factors of 2861200674? 2, 3, 17, 9350329 What are the prime factors of 60963
{ "pile_set_name": "DM Mathematics" }
et z(y) be the second derivative of -y**4/4 + 4*y. Determine z(c(k)). -27*k**2 Let s(n) be the first derivative of -19*n**3 + 46. Let t(c) = -2*c**2. What is s(t(b))? -228*b**4 Let s(u) = -4*u**2. Let o(c) be the second derivative of c**4/4 - 23*c. Calculate s(o(l)). -36*l**4 Let v(w) = 6*w - 7. Let g(y) be the first derivative of 5*y**2/2 - 6*y - 2. Let b(m) = 7*g(m) - 6*v(m). Let u(a) = -a. Determine u(b(i)). i Let z(r) = -66 + 66 - 2*r. Let x(y) = -3*y**2. Calculate x(z(o)). -12*o**2 Let c(o) = -2*o. Let i(j) = -231*j**2. Determine i(c(u)). -924*u**2 Let p(h) = -11*h. Let d(l) = -l**2 + 5*l. Determine p(d(m)). 11*m**2 - 55*m Let l(m) = -32*m**2. Let j(c) = 2*c + 283. What is l(j(d))? -128*d**2 - 36224*d - 2562848 Let q(d) be the second derivative of -d**3/3 - d. Suppose 3*w = -3*v + 7*v - 36, v + 5*w = -14. Let z(g) = -v*g + 4*g + g. Give q(z(s)). 2*s Let h(v) = -2*v. Let p(m) = -m**3 - 4*m**2 + 6*m + 4. Let c be p(-5). Let z be (8/(c - -3))/2. Let j(o) = -z*o**2 - 3*o**2 + 4*o**2. Calculate j(h(y)). -4*y**2 Let k(g) = 70*g**2 - 3*g + 3. Let s(v) = 6231*v**2 - 268*v + 268. Let u(f) = -268*k(f) + 3*s(f). Let i(d) = d. Determine i(u(j)). -67*j**2 Let z(s) = -2*s + 62. Let g(c) = 50*c + 2. Calculate g(z(o)). -100*o + 3102 Let y(o) = -15*o. Let c(u) = -u + 3*u + 0*u. Let d(i) = 14*c(i) + 2*y(i). Let r(n) = 3*n. Calculate r(d(p)). -6*p Let h(p) = -2*p**2 + 34*p. Let i(j) = -j**2 + 33*j + 28*j - 61*j. Give h(i(b)). -2*b**4 - 34*b**2 Let i(n) = -n**2 - 4*n + 4. Let s(w) = -6*w**2 - 27*w + 27. Let r(d) = -27*i(d) + 4*s(d). Let x(m) = -6*m. Determine r(x(g)). 108*g**2 Let r(c) = -419*c. Let f(m) = 3*m. What is r(f(h))? -1257*h Let h(o) = -55*o**2 - 2*o. Let r(a) = 2*a. Give h(r(f)). -220*f**2 - 4*f Let h(s) = -2*s**2. Let w(r) = 9*r - 6. Give w(h(a)). -18*a**2 - 6 Let t(o) = -9*o**2. Let z(k) = 2*k + 77. What is t(z(b))? -36*b**2 - 2772*b - 53361 Let q(m) = 3*m + 2086. Let g(d) = -2*d**2. Give g(q(k)). -18*k**2 - 25032*k - 8702792 Let u(k) = -9*k**2 - 11. Let v(a) = 3*a**2 + 4. Let i = 8 + 3. Let z(t) = i*v(t) + 4*u(t). Let g(y) be the second derivative of -y**4/12 - y. Determine z(g(r)). -3*r**4 Let j(c) = -7*c**2 + 2. Let w(s) = -14*s**2 + 5. Let z(p) = 5*j(p) - 2*w(p). Let n(h) = -7*h. What is n(z(q))? 49*q**2 Let c(j) be the third derivative of j**4/12 + j**2. Let d be (-3)/(9/(-6)) - -3. Let z(n) = -4*n + n + d*n - n. Calculate z(c(y)). 2*y Let w = 25 + -23. Let c(g) = 0 + 5*g**w + 0 + 0*g**2. Let i(z) = -2*z**2. Calculate c(i(u)). 20*u**4 Let p = -4 - -7. Let z(x) = p*x**2 + 3*x**2 - 4*x**2. Let k(q) be the first derivative of 2*q**3/3 - 1. Determine k(z(o)). 8*o**4 Let d(h) = -h**2. Let m(l) be the second derivative of l**3/6 - 4*l. Determine d(m(k)). -k**2 Let b(n) = 13*n**2. Let g(h) = -233*h**2. Give b(g(q)). 705757*q**4 Let x(o) = 2*o**2 + 10. Let j(q) = -1. Let c(y) = 10*j(y) + x(y). Let i(n) be the second derivative of -2*n**3/3 - 14*n. Determine c(i(a)). 32*a**2 Let s(c) = 10*c - 8. Let m(l) = 2*l. Determine m(s(n)). 20*n - 16 Let z(b) = -2*b**2. Suppose -16 = -5*x - 6. Let v(s) = -2*s**2 + 0*s - 2*s + x*s. Calculate z(v(d)). -8*d**4 Let l(x) = -28*x. Let s(r) be the first derivative of r**2/2 - 14. Give s(l(w)). -28*w Let t(w) = -5*w**2 + w. Let x(q) = 9*q**2. Determine x(t(g)). 225*g**4 - 90*g**3 + 9*g**2 Let a(t) = 3*t**2. Let k = 16 + -13. Let z(s) be the second derivative of 2*s + 1/6*s**4 + 0*s**k + 0 + 0*s**2. Determine z(a(d)). 18*d**4 Let b(n) = -n - 1 + 3*n + 1. Let q(f) = -10*f. Calculate q(b(x)). -20*x Let o(k) = 4*k**2. Let s = 20 - 18. Let p(i) be the second derivative of 0*i**3 + s*i + 1/12*i**4 + 0 + 0*i**2. What is p(o(b))? 16*b**4 Let w(k) = -k**2 + 1. Let m(u) = 2*u**2 - 3. Let d(o) = m(o) + 3*w(o). Let i(y) be the third derivative of 5*y**4/24 + 24*y**2. Calculate d(i(x)). -25*x**2 Let o(g) = g. Let v(u) = -264*u. Calculate v(o(k)). -264*k Let a(l) = -l**2 - 3*l + 3*l. Let f(c) = 10*c**2 - 7*c - 7. Let y(w) = 3*w**2 - 2*w - 2. Let p(v) = -4*f(v) + 14*y(v). Calculate p(a(k)). 2*k**4 Let f = 1 + 7. Let i = f + -5. Let n(z) = i*z**2 - z**2 - 3*z**2. Let s(p) = -2*p**2. Determine n(s(c)). -4*c**4 Let y(o) be the third derivative of -o**6/360 + o**4/8 + o**2. Let b(s) be the second derivative of y(s). Let n(v) = -v**2 - 3*v**2 + 3*v**2. What is b(n(l))? 2*l**2 Let z(q) = 2*q + 0*q + q. Let j(c) be the first derivative of 3*c**2/2 + 1. Give j(z(x)). 9*x Let j(x) = x - 9*x + 6*x. Let b(k) = 35*k. Determine j(b(u)). -70*u Let d(x) = 295*x**2 - 85*x. Let u(p) = 7*p**2 - 2*p. Let q(t) = 6*d(t) - 255*u(t). Let z(f) = -2*f. Determine z(q(m)). 30*m**2 Let h(f) be the second derivative of -f**4/4 - f. Let n(m) be the first derivative of -m**2 + 109. Give n(h(w)). 6*w**2 Let z(x) = -x**2. Suppose q + 3*o - 7 = 0, -11 = -4*q + o + 4*o. Suppose 0 = 4*g - 4 - q. Let s(m) = -m**2 + 2*m**g + 4*m**2. Calculate s(z(a)). 5*a**4 Let f(n) = n. Let k(r) = 5*r. Let c(q) = -6*f(q) + k(q). Let d(y) = 9*y. Determine c(d(a)). -9*a Let m(b) be the first derivative of -1/2*b**2 + 6 + 0*b. Let p(q) = -5*q**2. Determine p(m(u)). -5*u**2 Let j(m) = -2*m**2. Let r = 94 - 16. Let k(p) = -p - 1. Let h(y) = 4*y + 10*y + 4 - 4 + 13. Let l(s) = r*k(s) + 6*h(s). Calculate j(l(d)). -72*d**2 Let l be (-19)/(-3) + (-3)/9. Let f(z) = -2*z**2 + 0*z**2 + l*z**2. Let m(v) = -2*v. What is m(f(d))? -8*d**2 Let s = -1 + 6. Let d(u) = 3*u + 2. Let o(y) = -7*y - 5. Let f(q) = s*d(q) + 2*o(q). Let h(i) be the second derivative of i**4/3 - 33*i + 1. Determine f(h(l)). 4*l**2 Let y(o) = -7*o. Let i(j) = 7*j. Determine i(y(l)). -49*l Let j(t) = -13*t - 4. Let b(a) = 25*a + 7. Let r(c) = -3*b(c) - 5*j(c). Let p(m) = 2*m. Give p(r(i)). -20*i - 2 Let k(t) = t. Let h(r) = 0*r - 2*r + 7*r**2 - r. Let j(q) = -22*q**2 + 10*q. Let g = 10 - 7. Let z(u) = g*j(u) + 10*h(u). Calculate k(z(l)). 4*l**2 Let w(c) be the first derivative of -2*c**3/3 - 6. Let r(v) = 2*v. Give r(w(f)). -4*f**2 Let l(o) = -134*o**2 + 6. Let n(g) = -g. Calculate n(l(s)). 134*s**2 - 6 Let l(x) = x. Let y(h) be the third derivative of h**5/6 - 3*h**2. What is y(l(o))? 10*o**2 Let l(d) = -5*d. Let i = 13 + -21. Let k(c) = c**3 + 9*c**2 + 7*c - 4. Let q be k(i). Let u(b) = q*b + 3*b - 5*b - 4*b. Give u(l(j)). 10*j Let k(b) = -3*b - 5. Let m(y) = 2*y + 4. Let s(n) = 4*k(n) + 5*m(n). Let x(t) = 0*t**2 + 0*t - 2*t**2 + 0*t. Calculate s(x(u)). 4*u**2 Let q(u) = -4*u**2. Let b(t) = -123*t. What is b(q(l))? 492*l**2 Let n(r) = -2*r. Let h(g) be the second derivative of 3*g - 1/12*g**4 + 0*g**3 + 0 + 0*g**2. Determine n(h(c)). 2*c**2 Let s(j) be the second derivative of 6*j + 0*j**2 + 1/3*j**3 + 0. Let p(t) = -t**2. What is p(s(u))? -4*u**2 Let d(k) = 4*k**2 + 5*k. Let m(c) = 10*c**2. Determine m(d(q)). 160*q**4 + 400*q**3 + 250*q**2 Let b(h) = 516*h**2. Let x(c) = 2*c**2. Calculate x(b(f)). 532512*f**4 Let p(l) be the third derivative of -l**4/24 - l**2. Suppose 0*j = 3*j - 12. Let x(y) = -j*y + y + y. Determine x(p(r)). 2*r Let g(h) = -h**2. Suppose -o - 4*o + 1 = -2*j, 0 = 4*j + 4*o - 40. Let r(f) = -8*f - 6. Let z(l) = 9*l + 7. Let n(y) = j*r(y) + 6*z(y). Calculate g(n(a)). -4*a**2 Let d(b) = -2*b**2. Suppose 8*r - 4*r = 0. Let z(k) = r*k - k + 0 + 0. Determine z(d(u)). 2*u**2 Let d(v) = -2*v. Let o(g) = 17*g. What is o(d(p))? -34*p Let m(g) = 26*g**2. Let i(k) = 115*k. Give m(i(b)). 343850*b**2 Let s(v) be the first derivative of v**3/3 - 8. Let k(r) = -9*r. Calculate s(k(w)). 81*w**2 Let z(s) be the third derivative of s**5/12 + 2*s**2. Let b(l) = 2*l**2 - 5*l. Let r(t) = t**2 - 2*t. Let u(d) = -2*b(d) + 5*r(d). Calculate z(u(p)). 5*p**4 Let r(u) = 1218*u**2. Let i(w) = 10*w. Give i(r(s)). 12180*s**2 Let o(w) be the first derivative of w**4/6 + 5*w + 7. Let l(a) be the first derivative of o(a). Let h(b) = -13*b. Calculate h(l(i)). -26*i**2 Let s(u) = u + 1. Let x(a) = -2*a - 1. Let l(m) = -s(m) - x(m). Let c(r) = 6*r. What is c(l(d))? 6*d Let j(x) = -3*x - 3*x + x + x. Let o(z) = -4*z**2 + 3*z**2 + 4*z**2 - 2*z**2. Calculate o(j(h)). 16*h**2 Let j(h) = -h**2. Suppose t + x - 12 = 3*x, 4*x + 30 = 5*t. Let c be (-152)/(-19)*(2/4 + 0). Let s(q) = 0*q**2 + c*q**2 - q**t. Give s(j(d)). 3*d**4 Let s(n) = -2*n**2. Let d(g) = 13 - 13 - 10*g**2 - 4*g**2. Determine s(d(k)). -392*k**4 Let y(r) = 10078*r. Let s(j) = j**2.
{ "pile_set_name": "DM Mathematics" }
i = -116 + n. What is the closest to 0.5 in -1, 0.5, i? 0.5 Let w = 59.954512 - 0.000512. Let s = -60 + w. Let o = 0.136 + s. Which is the nearest to o? (a) -0.2 (b) -0.1 (c) -4 b Let p = -62.3 - -62. Let r = 1.82 + -1.8. What is the nearest to r in 4, p, 1? p Let t = -12238.05 - -12238. What is the closest to -1 in 5, 49/2, t? t Let c = -0.5456 - -0.9456. What is the nearest to 114 in c, -1/4, 1? 1 Let m = -41/86 - -42/43. What is the closest to m in 1, 0.4, -1/26? 0.4 Let q = 6963 - 6958. Which is the nearest to -3? (a) q (b) 6/11 (c) 2/5 c Let j = 4/381 - 413/3048. Let t = 290/7 + -41. Which is the closest to 0.1? (a) t (b) 3/4 (c) j c Suppose 6*v + 24 = 3*a, -a + v + 7 = -6. What is the closest to 1 in a, 3/4, 10? 3/4 Let v be (-4)/(-66) + 14900/(-83589). What is the closest to -0.1 in 4, 312, v? v Let d = 1094 - 3284/3. Let k be 38/78 - (-6)/(-39). Which is the nearest to d? (a) k (b) -0.4 (c) -2 b Let h = 4/3 - 13/12. Let l = 3488.6 + -3488.6. What is the closest to l in h, 0, 22/7? 0 Let x = -2 + 1. Let d = 0.13252 + 4.86748. What is the nearest to -1/4 in d, x, 1/6? 1/6 Let p = 64/225 - 38/75. Which is the closest to -1? (a) -5 (b) p (c) 1 b Let m = 6.19773 - 1.19773. Let z = 0.25 + -0.2. What is the closest to 0.1 in z, -9, m? z Let t be (-1 + (-33)/16 - -3)*-6. Suppose -3*w = w + 4*p, 0 = 2*w - 2*p - 16. Let i be 9/(-24)*-2*w. Which is the closest to 0.1? (a) i (b) 0.1 (c) t b Let y = -1969 + 1976. What is the nearest to y in -6, 0.4, -1? 0.4 Let g = -1.98 + -0.02. Let i = g - -1.9. Let s = 770/177 + -237/59. What is the nearest to i in s, 1/5, -0.2? -0.2 Let u = -8.18 - -0.18. Let z = -3.10652 + 0.10652. Which is the nearest to 2/3? (a) u (b) -5 (c) z c Let m be 0/(-3) - (-2)/15. Suppose -41*l = 43*l + 99 - 15. Which is the closest to l? (a) m (b) 4 (c) -2 c Let i be (-702)/(-72) - 15 - -4. What is the closest to 1/4 in 1.9, 11/2, i, -0.06? -0.06 Let k(s) = 4*s**2 - 5*s**2 + 4*s**2 + 0*s**2. Let v be k(1). Let x = 48.42 + -48.52. What is the nearest to x in v, -4, 2/5? 2/5 Let q be 12/21*-7 - -105. Which is the nearest to q? (a) 3/4 (b) 5 (c) -4 b Let g be (-710)/66 - 90/(-990) - -10. Which is the nearest to g? (a) 7 (b) -2/7 (c) -4 b Let x = -925 - -925.1. Which is the nearest to -1? (a) 0.8 (b) 4/9 (c) 0.03 (d) x c Let o be (380/342)/(52/(-117)). Let c = 0 + 0.1. What is the nearest to c in 2, o, -5? 2 Let d be (-1 + 23/8)/((-21)/(-38)). Let u = -22/7 + d. Let s = 0.08 + 0.42. Which is the nearest to 0.3? (a) 4 (b) s (c) u c Let o = -3516.8 - -3513.8. Let v = 5 - 8. Which is the closest to o? (a) v (b) -0.5 (c) 0.4 (d) -2/9 a Let n = -2.05 + 1.44. Let t = n + 0.61. Let j = -12 - -8. What is the nearest to t in j, 1.3, -5? 1.3 Let q = -3/761 - 746/3805. What is the closest to -4/21 in q, 0.3, 2/11, 3? q Let f = 0.181 + -0.081. Let q = 0.0462 - 3.0462. What is the nearest to 0.2 in q, -1/4, -35, f? f Let g = -13.63 - -1.53. Let t = g + 11.919. Let f = t + 0.081. Which is the closest to -2/27? (a) f (b) -2/3 (c) -0.2 a Let g = 7 + -2. Let x = 24.6252 + -25.1252. Which is the closest to -3/4? (a) -3/5 (b) g (c) x (d) -3 a Let r = -8162 - -8220. What is the closest to r in 0, -4, 5? 5 Suppose -11*t = 719 - 147. Let o be t/(-24) - (-26)/(-39). What is the nearest to 2 in 2/11, -1, o, -3? o Let r = 1369 + -1366.2. Let j = 1.9 + 0.4. Let q = j - r. Which is the closest to 8? (a) 0.4 (b) 1 (c) q b Let g = 4195 + -4198. Which is the nearest to -24.4? (a) 8 (b) 1 (c) g c Let u = -38 + -3. Let l = u - -90. Let f = -48.9 + l. Which is the nearest to f? (a) -0.4 (b) 1 (c) -1.4 a Let f = -251 - -1763/7. Let s be 2 - 7296/(-480)*(-1)/8. Which is the closest to -1/3? (a) f (b) s (c) 0.4 b Let s = -205 - -204. Let t = -1864/91 + 270/13. What is the nearest to s in -2/73, 1/7, t? -2/73 Let y(q) = 59*q**2 - q - 2. Let u be y(-1). Let n = u - 61. What is the nearest to 6 in 0.4, n, -2/13? 0.4 Let f = -0.1753 + -0.3247. Let a = -0.1 - 1.9. What is the closest to a in -2/5, f, 2/17? f Let y = 94 - 91. Let q = -2125/2 - -1062. What is the closest to -4 in y, 21, q? q Suppose 0 = 123*y - 536 - 316 + 237. Let b = -1.8 + 8.8. What is the nearest to -0.03 in b, y, 4? 4 Let f = -2 + 8. Let b be 28/f + 1 + -4. What is the closest to 0 in b, 2, 0.4? 0.4 Let w = 955 - 955.1. Let x = -132.9 - -133. What is the closest to w in 4, x, -66, 1? x Let f be ((56/36)/(-7))/(58/87). What is the closest to 0 in 6/7, f, -6? f Let s = 0.05166 + 18.94834. What is the closest to -2/7 in 29, s, 0.3? 0.3 Let q = 4393 - 4392.9. Which is the nearest to q? (a) 7 (b) 0.1 (c) 2/37 b Let z = -7465 - -7470. What is the nearest to -83 in 43, -2/5, z? -2/5 Let v = -0.616 + -1.384. Let p = 0.8 - -0.2. What is the closest to p in v, -1/5, 1/7? 1/7 Let k = -0.52 + 0.22. Let m be (-2)/8*1 - (-7)/(-4) - 3. What is the closest to -1 in k, m, 1, -4? k Let n = 75.25 + -75.65. Which is the nearest to 9? (a) n (b) 1/6 (c) 0.5 (d) 2 d Suppose 3*i + 5*k = 58, i + 4 = 9*k - 6*k. Suppose -2*n = -n + 2*p + 7, i = 2*n - p. What is the closest to -2/5 in -38, -2/17, n? -2/17 Let k = 602002/1635 - 1841/5. What is the closest to -0.1 in k, 0.1, 1, -2/17? -2/17 Let v be ((-44)/143)/((-2)/26). Which is the closest to 0.2? (a) -2/5 (b) v (c) -0.1 (d) -1/4 c Suppose -28*d + 27*d = 18. Let q = d - -17. What is the closest to q in -2, -1/3, 5? -1/3 Let s = 31164 + -31165. Let h = -5 + 4.77. Let i = 0.03 + h. Which is the closest to 1.1? (a) i (b) s (c) 1 c Let k be (-24)/(-32)*(-2 + (-534)/(-261)). Let m = 0.004 + 2.996. What is the closest to -1 in m, k, 0.1? k Let w = -5400 - -5395. Which is the nearest to -3/5? (a) -4 (b) w (c) 2/5 (d) -0.016 d Let n = 11 - 10.95. Suppose 6533 - 6505 = -14*x. What is the nearest to 0 in -0.5, x, n, 2/5? n Let s = -389.6 + 432. Let u = s + -42. Which is the nearest to -0.1? (a) 0.3 (b) u (c) 0.01 c Let q = 125/2 - 64. Let n = -78111 - -78111.1. What is the nearest to -4/3 in q, -1, n, -3/5? q Let g = 47.21 + -47.41. Which is the closest to -40? (a) 20 (b) 1/4 (c) g c Suppose 4*o = -2*b + 1 - 5, 4*b = 3*o + 36. What is the nearest to -7.7 in 0.4, o, -1/4, 0.06? o Let j = -180888.4 + 180888. Let m = 139/2 + -71. Which is the nearest to 1? (a) m (b) 17 (c) j c Let z = 28406 + -28324. What is the closest to 7/3 in z, 0.4, -0.1? 0.4 Let x = 6227 - 6232. What is the nearest to -25 in -2, -1, -3/4, x? x Let z = 24971 - 24979. Which is the closest to -40? (a) 2/15 (b) z (c) 2/7 b Let h = -305 - -216. Let z = -89.2 - h. Which is the nearest to 0? (a) -0.1 (b) -11 (c) z a Suppose 10*g - 8*g = -510. Let i = -764/3 - g. Which is the closest to 0.1? (a) 4 (b) 11 (c) i c Let x = -3.435 - -3.435. What is the nearest to -2/169 in -4, x, -5? x Let s = 0.072 + -0.572. Let j = 1.95 - -0.45. Let f = j + -0.4. What is the nearest to f in s, 3, 0.06? 3 Let k = 6220 - 6215. What is the closest to 2 in -0.1, 0.195, k? 0.195 Let h = 6 + -2. Suppose h*x = -x - 15. Let a be (12/(-27))/1 - (-12)/18. What is the nearest to 5 in a, x, -1? a Let k = 14 - 28. Let p be (16/k + 1)*1. Let t be 2/(((-90)/1)/15). What is the closest to p in -2, -8, t? t Suppose -133 = -674*l + 667*l. Let d = -40 + 44. What is the closest to l in 0.5, d, 0? d Let d = -66 + 200/3. Suppose 4*z = 2*n + 30, 8*z - 9*z + 4*n = -18. Let p be z/10 + (-129)/215. What is the closest to d in p, -1/2, 2/17? 2/17 Let c = 15058.99601 - 15059. What is the nearest to -1 in -5, -1/5, c? -1/5 Let q = 26 - -29. Let p = -671.8 - -617. Let y = p + q. What is the nearest to y in 1/4, 0, -1/2? 1/4 Let y = 3610.5 + -3610. Which is the closest to 0.52? (a) -0.3 (b) -0.5 (c) y (d) 2/17 c Let o = 3.5 + -3. Let r = 1795 + -1796. What is the nearest to r in 5, 0.09, o? 0.09 Let c = -3135.2 - -3135. What is the nearest to -1 in c, -42, 3/2, -2/5? -2/5 Suppose -2*w - 67*w = -17*w + 104. Let y = 2.5 + -0.5. What is the nearest to y in 5, w, 2/17? 2/17 Let w = -2456.9 - -2456. Which is the nearest to 0.07? (a) 3 (b) 4/5 (c) w (d) -3 b Let i = 1.9 - 2. Let h = -1.0834 - -1.013. Let x = -0.1296 + h. What is the closest to -2/17 in -0.5, i, x? i Let t = 0.0331 + -0.3751. Let d = t - 1.658. Let x = -613/5 - -123. What is the closest to 1 in 5, d, x? x Let g =
{ "pile_set_name": "DM Mathematics" }
7 = 2. Suppose -l*b + 3 = 6. Let g be (0 - b)/((-11)/(-2)). What is the closest to -1 in g, 0.4, -2? -2 Let o = -3/11 - 13/33. Which is the closest to o? (a) 0.03 (b) 3/7 (c) -2 (d) -1 d Let y be (-1)/2*2*-3. Let u be (2 + 0)/(10/y). Which is the nearest to 0? (a) u (b) 5 (c) -0.4 c Let g = -1.5 + 1.5. Suppose 31 = -6*c + 13. Let o be c/(-18)*14/21. What is the closest to g in 3/4, 2, o? o Let j = 15.9 - 16. Let h = -0.46 - -0.06. What is the nearest to j in -8, -2, h? h Let q = 32 + -35. Let f be 6/(-33) + 0 + -3 - q. Which is the closest to -1? (a) -2/19 (b) -1 (c) f b Let f = -2.8 - 0.2. Let i = -5/6331 + 203267/854685. Let d = 1/27 - i. What is the nearest to -0.1 in f, d, -0.4? d Let v be (-40)/12*3/2. Let a be ((-4)/6)/(-7 - v). Let t = 207 - 210. What is the nearest to a in -2/9, 5, t? -2/9 Let g = 7.29 + -6.79. Let v = 65 - 457/7. What is the closest to 1 in 4, g, v? g Let y = 15 + -7. Let x be (-10)/y*(-6)/20. Let g = 1.18 + -0.18. Which is the closest to 0.2? (a) -5 (b) g (c) x c Suppose b - 12 = 5*x, 24 = -3*x + b - 6*b. Suppose 4*r - 7 - 17 = 0. Suppose -n = -r*n. What is the nearest to n in x, 1/5, -0.3? 1/5 Let q = -1.9 - -2.98. Let w = 1.38 - q. Which is the nearest to -0.03? (a) w (b) 3 (c) 1 a Let v = 0.1 + 0.2. Suppose -d = -59 + 196. Let o = -415/3 - d. Which is the nearest to -0.2? (a) -2/15 (b) o (c) v a Let d = 1021 + -1021.4. Let r be 10/(-8) + (-3)/(-3). Let b = 0.9 + 0.1. What is the closest to r in b, d, -0.5? d Let y = 35.8 + -30.8. What is the closest to -1/4 in y, 5/3, -0.3? -0.3 Let h be 5*(-4)/((-40)/(-6)). Let f(g) = g**3 + 5*g**2 + 4*g - 2. Let v be f(h). Let a = -0.34 + 0.3. What is the closest to -1 in v, a, 3? a Suppose 0 = -3*l + 4*d - 9 + 174, -162 = -3*l + 3*d. Suppose l*s = 45*s - 12. Which is the nearest to -1/2? (a) s (b) 5 (c) 1/3 c Let d = -2.1 + 2. Let t be 64/1680 + (-2)/15. Let l = 0.6 - 0.4. Which is the closest to -0.1? (a) l (b) t (c) d c Let f = 4.01 - 7.01. Which is the nearest to 10? (a) f (b) -4 (c) 3 c Let o = -14/247 + 4/19. Which is the closest to -0.1? (a) -4 (b) o (c) 0 c Let x = -5 - -8. Let d = -0.11 - -4.11. Let z = 10.61 - 10.11. What is the nearest to d in z, x, 0? x Let m = 0.6 - 1. Let x = 0.084 + -0.184. Which is the nearest to x? (a) 0.5 (b) m (c) 1/3 b Let u be (-7)/84*9*4/(-3). What is the closest to 6 in u, -2, -0.2? u Suppose 0 = -15*o + 10*o + 700. Suppose 20 = 6*t + o. Let h be 30/t + 13/2. Which is the nearest to -3/2? (a) -6/5 (b) h (c) 4 a Let y = 11 - 10. Let b = -0.62 + -8.38. What is the closest to b in 0.3, y, -4? -4 Let z be 1 - 144/28 - 7/(-49). Which is the closest to -0.1? (a) z (b) -2/49 (c) 3 b Let h = 245 + -245.232. What is the nearest to 1 in h, 1/2, 0.3? 1/2 Let r(f) = -f**2 + 4*f + 10. Let z be r(6). Let i be (z - 1) + 15/6. What is the closest to -0.1 in 3/4, i, -0.3? -0.3 Let v = 17.428 - -0.572. Which is the closest to 2? (a) 3 (b) -5 (c) 0.2 (d) v a Let q be 2 + -2*397/84. Let d = 43/6 + q. Let o = -136 - -134. Which is the closest to -0.1? (a) 4 (b) o (c) d c Let r be 41/30 - (-618)/2060. Which is the closest to -3/4? (a) -0.3 (b) r (c) 2/3 (d) 0.01 a Let j = -653/5 + 131. Let s be (326/(-60))/((-3942)/315). Let t = 3/292 + s. Which is the nearest to j? (a) t (b) -2/3 (c) -0.3 a Let o = -2.92 + 2.42. What is the closest to -0.7 in o, 1, 2/5? o Let z = 0.62 - 1.62. Let c be 1 - (-5)/(-16)*6. Let r = 13/24 + c. What is the nearest to r in 4, -0.3, z? -0.3 Let x = 0.0906 - 0.0906. Let a(k) = -k**3 - 4*k**2 - 5*k - 4. Let p be a(-3). What is the closest to x in 0.2, -3/5, p? 0.2 Let c = 3 + -3. Let o = -3 - 9. Let d = o - -12.02. What is the nearest to 0.1 in 2/15, c, d? 2/15 Let l be (-50)/(-114) - (13 - 456/36). Which is the closest to 2/9? (a) 0.5 (b) -3 (c) l (d) -0.2 c Suppose 4*g - 3*j = -26, 0*j - 18 = 2*g - 4*j. Let z = 40 - 35. Let h = z + -5. Which is the closest to h? (a) 0 (b) g (c) 0.1 a Let q = -2043 + 2042.5. What is the closest to -2/11 in q, -24, -0.4? -0.4 Let y = -0.07 - -9.07. Let o = y + -35. Let d = o - -23. What is the nearest to 2/11 in d, -4, -0.3? -0.3 Let w = -1213/21 + 175/3. Let l be ((-8)/7)/((-2)/7). Suppose -2*h + l = -6*h. Which is the closest to h? (a) w (b) -2/5 (c) -3 b Let j be (65/(-10) + 7)*(-8)/(-14). Which is the closest to j? (a) 0.09 (b) 0.4 (c) -1 b Let v(s) = -6 + 10*s**2 - 2*s**2 - 6*s - 4*s**3 + 3*s**3. Let x be v(7). Let u be (-1)/(-1 - -3 - -3). What is the closest to x in 5, -4, u? u Let j = -3.5 + 3. Let o be (-4484)/10620 - (-2)/9. Which is the nearest to 2/9? (a) j (b) -11 (c) o c Let f = 9933/5 + -1986. Which is the nearest to -11? (a) 5 (b) f (c) 2/9 c Let g = 22903/5 + -4605. Let v = g + 24. Which is the closest to -1? (a) 8 (b) 0.4 (c) v c Let y = -2.95 - 0.05. Suppose -f - 2*h + 1 = 0, 6*f = 3*f - 5*h + 2. Let i be (-13)/(-18) + 2/(-9). Which is the nearest to f? (a) i (b) y (c) -0.5 c Let r = -4/21 + -13/42. What is the nearest to r in 4, 2/3, 2/15? 2/15 Suppose 0 = -3*h + 4*k + 87 - 91, 5*h = -4*k - 28. Let g = 2 + -1. Which is the closest to g? (a) h (b) 5 (c) 2/19 c Let u(s) be the second derivative of -s**3/3 - 17*s**2 - 10*s. Let h be u(-16). Which is the nearest to -6? (a) 1/2 (b) h (c) 2/7 b Let b = 0.2 - -0.8. Let l = 2.12 - 1.92. What is the nearest to b in -0.2, 1, l? 1 Let v = 8782 + -8782. Suppose -2*z = -7*z - 15. Let p = 2 + z. What is the closest to v in 4, p, 0.5? 0.5 Let p = 3 - 15. Let l = -14 - p. Suppose -4*o = -11 - 1. Which is the closest to l? (a) o (b) -0.5 (c) 2 b Let o be ((-1)/(-6))/(3/(-4)). Suppose -4*g - d = -145, d + 3 = -0*d. Let l be g/(-7) + (-16)/(-56). What is the nearest to o in 0, l, 3? 0 Let f = 17 + -7. Let s be f/12 - (-2)/(-4). Suppose 0*m + m - 3 = 0. What is the nearest to -2 in s, m, 2? s Let v = 4.7 + -29.7. Let l = v + 26. Let s = 0.7 - 1. Which is the nearest to l? (a) -1/4 (b) 0.5 (c) s b Let k = 264 - 263. Let l = 2.4 - 4.4. What is the nearest to 1 in l, 3, k? k Let u = -272 - -271.6. What is the nearest to 1/7 in u, 2, 4/3? u Let u = 17 + -12. Suppose 2*f - 3*s + 2 = 0, -f + 3*s = s + 2. Let o be (-88)/96 - f/(-8). What is the closest to o in u, -4, 2? 2 Let o = -0.45 + 0.21. Let q = o - -0.04. Let m be (-4 - -8)*1/(-18). Which is the nearest to -2? (a) q (b) 1/7 (c) m c Let k = 0.26 + -0.06. Let d = -0.01 + 2.01. Let w = -32.6 - -33.1. Which is the closest to 0.2? (a) k (b) w (c) d a Let b be (-12)/(-15)*2/8. Let a be (-4)/6 + (-72)/(-27). Suppose 4*f = -u + 6, a*f - 5*u = -2*f + 18. What is the closest to b in 0.1, f, -3? 0.1 Let k = 530 - 529.8. Which is the closest to -1/2? (a) 3 (b) 1 (c) k (d) -3/4 d Let z be ((-22)/(-55))/(65/(-25)). Which is the nearest to 0.2? (a) z (b) -0.2 (c) -2 a Let x = -183 + 1283/7. Let s = 1819/235 - 392/47. Which is the nearest to 21? (a) x (b) -3 (c) s a Let i be (-4)/(-2)*(-2 + 9/6). What is the nearest to 3 in i, 0, 3, 5? 3 Let n = 4.52 - 4.12. Which is the nearest to 0.3? (a) 0.5 (b) n (c) -3 b Let v(o) = -2*o - 2. Let s be v(-1). Let b = -1371 - -8201/6. Let a = 239/66 + b. What is the nearest to s in -3/7, -0.3, a? -0.3 Let p be -7*(-7)/49 - (-5)/(-4). Suppose 6 = 2*y + y. Suppose 4*o - y = 5*x - 8, 0 = o - x + 2. Which is the closest to p? (a) -0.2 (b) o (c) -5 a Let g = 61 - 66. What is the nearest to -2/9 in -3, -6, g? -3 Let m = -9.17 - -2.17. Let g = -0.67 - -0.17. Which is the nearest to 0.1? (a) -0.2 (b) g (c) m a Let r = -0.16 + 0.06. Let z = 7 + -2. Let j = -0.14 - -0.04. Which is the closest to j? (a) r (b) z (c) -0.2 a Let j = -578/7 - -83. Let q be (0/3)/((-7)/(21/(-9))). What is the closest to q in -5, j, 2? j Let m = -1345 - -1343. Which is the closest to 0? (a) m (b) 122 (c) -2/3 (d) -0.4 d Let a = 1.9 - 2. Suppose -2*q = -54 + 14. Let n be (-28)/70 + 23/q. What is the closest to 0 in -1, n, a? a Let i = -1.808 + 1.888. What is the closest to i in -0.2, -5, 2/5? -0.2 Let l = -2.01 + -2.99. Let k = -181/44 + 48/11. Which is the closest to k? (a) -4 (b) l (c) -4/9 c Let n = 64 - -56. Let c = n - 123. What is the nearest to 0.03 in 3, c, 4? 3 Let i = 114.7 + -115. Let q = -23 - -23.5. Let o = 0.1 - 0.6. What is the nearest to 2/7 in i, o, q? q Let o = -83 + 80. W
{ "pile_set_name": "DM Mathematics" }
+ 147/319. Let t = -422 + a. Calculate the common denominator of t and -89/14. 70 Suppose 3*l = -3*j - 9, 2*j - 4*l - 1 = 11. Suppose -n + 0*g = 3*g - 7, 2*n - 5*g - 3 = j. Calculate the least common multiple of 28 and n. 28 Let w be (6/5)/((-2)/(-5)). Suppose -w*n + 10 = -n. Calculate the least common multiple of 5 and 37/n + 4/(-10). 35 Let u = 4444185 + -2513681. Let k = 26997179/14 - u. Let y = k - -2135. Find the common denominator of y and -13/8. 56 Let m = 204 - -90. What is the common denominator of -21/4 and (-7)/(m/(-251)) + 1/6? 28 Suppose -11 = -4*s - 5*f - 101, 0 = 3*s - 3*f + 54. Let n = 0 - s. Let g(u) = 23*u**2 + u - 2. What is the lowest common multiple of n and g(1)? 220 Let l be (1 - -26) + 2 + -1. Suppose 306*a - 6 = 307*a. What is the common denominator of (62/a)/(l/(-12)) and 59/30? 210 Let x(u) = 3*u. Let r be x(-2). Let t be (-24)/r + -1 + 2. Suppose 2*v + 60 = t*v. Calculate the smallest common multiple of 16 and v. 80 Let m = -7937 + 119012/15. Let h = -12248/5 - -2460. Calculate the common denominator of m and h. 15 Let l be ((9/4)/3)/(1/8). Find the common denominator of (-7 - 199/12) + 2/l and -28/19. 76 Suppose 5*f = 4*x + 36, -5*x + 3 = -2. Suppose g + f = -3*g. What is the common denominator of g - 231/(-27) - 4 and -71/8? 72 Let z(x) = -x - 9*x + 7*x + 4*x - 5. Let u be z(-3). Let b = u + 18. Calculate the smallest common multiple of 24 and b. 120 Suppose -12*u = -245 + 221. Let c(i) = -i**2 + 20*i - 17. What is the smallest common multiple of c(17) and u? 34 Let d = -18536929/660 + 551219/33. Let j = 11380 + d. What is the common denominator of j and (-4)/10 - (-478)/70? 140 Let t = 127 - 71. Calculate the common denominator of ((-6)/t)/((-12)/260) and 99/2. 28 Suppose -732 + 2432 = 5*m. Calculate the lowest common multiple of 102 and m. 1020 Calculate the least common multiple of 28/252 + 2084/36 + 0 and 2. 58 Suppose -352 = 5*b - 2*g, -2*b - 4*g - 217 + 57 = 0. Let i = b - -92. Calculate the smallest common multiple of i and 4. 20 Suppose 41*o - 4*v + 11 = 42*o, 0 = 2*v - 2. Suppose -2*z + 4 = 2*j - 5*z, 4*z = 2*j - 4. Calculate the smallest common multiple of j and o. 14 Let i be (-2)/10 - 48/10. Let s = 9 + i. What is the least common multiple of s and (-3 - -6) + (-15)/(-3)? 8 Let v be 2*(-1322588)/64*12/22. Let t = v + 22543. What is the common denominator of -11/6 and t? 132 Find the common denominator of (-2)/3 + 106/60 and 9/4. 20 Let m = 3279/925 + -180/37. Calculate the common denominator of -19/60 and m. 300 Suppose 0 = 4*g + 3*s - 48988, 0*s + 24496 = 2*g + 2*s. Let r = -122317/10 + g. What is the common denominator of r and 67/14? 70 Let n = -2965/8 + 366. What is the common denominator of 123/10 and n? 40 Suppose -6*g - 6 = -0*g. Let h be (2 + g)*(6 + 3). Find the common denominator of -95/2 and (6/h)/((-4)/39). 2 Find the common denominator of -29/1448 and (1/45*-3)/((-6)/(-747)). 7240 Let s(u) = -u**2 - 2*u + 35. Calculate the least common multiple of s(0) and 7. 35 Let s = -27863/13370 - -12/955. What is the common denominator of ((-1)/11)/(3/18) and s? 154 Calculate the common denominator of (2/2)/((-1548)/(-262) + -6) and 3 - 2*55/(-4). 12 Let s = -2942 + 99929/34. Let h(q) = 5*q**2 - 3*q - 2. Let l be h(-2). Find the common denominator of s and 89/(-5)*(-10)/l. 204 Suppose -4*s = 5*a - 118, -2*s + 4*s = 4. What is the least common multiple of 152 and a? 1672 Let l be (-1*6)/(4*5/1150). What is the least common multiple of 10 and (-4)/((-16)/3) + l/(-20)? 90 Find the common denominator of ((-219)/27 + -5)/(-2) and 74/81. 81 Let v(k) = -85*k**2 - 5*k + 4. Let u be v(-9). Let t = u - -150811/22. Let c = t - 675/88. Find the common denominator of -83/6 and c. 24 Suppose 0 = 4*y - 13 + 1. Calculate the smallest common multiple of (126/12)/(y/4) and 2. 14 Let k = -299/4063 - -1804708/1279845. Let c = k + -43/70. Find the common denominator of -53/40 and c. 360 Let s be 46/(-14) + 22/77. Let k = s + 44. Calculate the common denominator of k and 31/5. 5 Suppose 32 = 3*h - 4. Let d(l) = -2*l**3 - 23*l**2 - 14*l - 25. Let w be d(-11). Calculate the common denominator of 33/16 and (-2)/24 - w/h. 16 Suppose 0 = -4*p - 20, -4*n + 7*p = 2*p - 169. Let g(o) = 8*o - 2. Calculate the smallest common multiple of g(2) and 4/n - (-107)/9. 84 Let j be 170*((-10)/(-25) - 2/(-20)). Suppose -j - 47 = -11*g. What is the smallest common multiple of 30 and g? 60 Suppose 0 = 11*g - 6*g - 165. What is the least common multiple of g and 108? 1188 Let q(r) = -r**3 - 23*r**2 + 2*r + 51. What is the least common multiple of q(-23) and 2? 10 Let q = 15/16 + -123/16. What is the common denominator of q and (3315/(-1911))/(2/7)? 28 Let p(i) = i - 8. What is the smallest common multiple of p(14) and 72? 72 Suppose -l + 41 = -2*h, 168 = 3*l + 15*h - 12*h. What is the lowest common multiple of 18 and l? 306 Let x be (3/(-14))/(8/(-43168)). Let f = x - 80079/70. Find the common denominator of f and 53/12. 60 Let q = -1555 + 4676/3. What is the common denominator of q and 23/111? 111 Let p = 53/737 + -58283/123816. Find the common denominator of 71/3 and p. 168 Let z be 6/27 + 922376/72. Let m = -205073/16 + z. What is the common denominator of (327/(-18))/(7/3) and m? 112 Let i(s) = -s**3 - s**2 + 1. Let g be i(1). Calculate the common denominator of (-1)/(-1 - (-249)/207) and g/4 - 402/(-56). 14 Let l = -32 + 34. Let r(n) be the third derivative of -n**5/60 - 3*n**4/4 - 11*n**3/3 - 4*n**2. Calculate the least common multiple of l and r(-16). 10 Suppose 426 = -4*w + 458. What is the lowest common multiple of ((1*8)/2)/2 and w? 8 Let l be (-20)/(-6)*-66*(-9)/(-15). What is the lowest common multiple of (-3)/(-18)*-2*(l + 0) and 8? 88 Let z be 13284/528 - 3*(-1)/(-1). Let c = z - 406/11. Calculate the common denominator of -99/14 and c. 28 Let y be 6/33 + 378/(-22). Let z = -13 - y. Suppose -2*a - z*n + 9 = a, a = 5*n + 22. What is the smallest common multiple of 10 and a? 70 Let g = -57 + 1417/24. What is the common denominator of g and 89/36? 72 Let c(m) = 17*m - 1. Let r be c(3). Calculate the least common multiple of (-12)/((630/(-280))/((-6)/(-8))) and (-4)/10*-1*r. 20 Let x = 379 + -313. Calculate the lowest common multiple of 78 and x. 858 Let w = -567238/163 + 3480. Let g = w + 2115/326. What is the common denominator of ((-282)/105)/(4/5) and g? 14 Let w = -229 - -247. Calculate the least common multiple of 24 and w. 72 Suppose -4*j + 2*j + 2 = 0. Suppose -2 = -s + j. Suppose -5*o + 34 = -s*o. What is the smallest common multiple of o and 9? 153 What is the common denominator of -58/35 and (-5)/50*(-712)/(-36)? 315 Let v be 3/21 + (-86)/14. Let u be 2 - (7 - (3 + -1)). Let c = u - v. Calculate the lowest common multiple of c and 9. 9 Suppose i = 1971 + 3904. Let q = 129181/22 - i. Find the common denominator of q and 2/(-2) + (-25)/(-8). 88 Suppose -c + 2*c + 39 = 0. What is the common denominator of c and (-6)/(-10)*196/(-12)? 5 Let i = 101 - 212. Let w = i - -157. Let g = w + -32. What is the lowest common multiple of g and 8? 56 Calculate the smallest common multiple of 24 and -4 - ((-20)/14)/((-66)/(-462)). 24 Let m(i) = -2*i**2 - 86*i + 309. Calculate the lowest common multiple of 1053 and m(-46). 11583 Let p be (-21)/30*(84 - 2). Let v = 627/10 + p. Find the common denominator of v and 43/7. 70 Let m = -26223677 - -3094254359/118. Let j = 1176/59 + m. Let g = 1123 + j. What is the common denominator of -53/4 and g? 4 Suppose s + 5 - 104 = 0. Let g = 115 - s. Calculate the least common multiple of g and 12/(-2)*(-3 - -2). 48 Calculate the common denominator of (2 + 989/(-102))*(-5)/25 and 63/85. 510 Let a = 11237 - 98851/9. Let r be (-1514)/6 - 3/(-9). Let n = a + r. Calculate the common denominator of -11/9 and n. 9 What is the lowest common multiple of 84 and ((-539)/(-28))/7*24? 924 Let j = 56 - -3. Suppose j = 5*n + 44. Calculate the least common multiple of 14 and n. 42 Let g = -2/1972996607 - -60932054227555/13390727971709. Let w = g + -3/617. Let c = 491/33 - w. Find the common denominator of -67/15 and c. 15 Let o(d) = d**3 - 15*d**2 + 15*d - 10. Let f be o(14). Let u be -1*4*(-10)/f. What is the common denominator of (-2)/u - 6643/(-390) and -45/2? 6 Suppose -6*r - 19 = -19. Suppose -c - 2*u + 8 + 6 = r
{ "pile_set_name": "DM Mathematics" }
- 3*n + n)*(-7 - 3 + 56) + 5*n - 2*n - 2*n. -91*n Expand (-1 + 3 - 3)*(2*x**5 - 2*x**5 + x**5) - 3*x + 2*x**5 + 3*x. x**5 Expand 3*u**5 + 4*u**5 - 5*u**5 + (-5 + 4 + 2)*(-u**5 + 0*u**5 + 0*u**5) + 4*u**5 - 2*u**5 + 3*u**5. 6*u**5 Expand (7*h - 2*h - 3*h)*(-2*h**2 + 0*h**2 - 3*h**2) + 0*h**3 - 2*h**3 + 0*h**3. -12*h**3 Expand (-2 - 3 + 1)*(3 - 2 - 3)*(2*u - u - 3*u)*(2 + 0 - 6). 64*u Expand (-4 + 0 + 2)*(-2*b + 3*b - 2*b) + 4 + 0*b - 7 + 2*b. 4*b - 3 Expand -6*f**5 - f**5 + 2*f**5 + (f + 2*f - f)*(-2*f**4 + 0*f**3 + 0*f**3) + (2*f**2 - 4*f**2 + 0*f**2)*(f**3 - 3*f**3 + 3*f**3). -11*f**5 Expand (39 - 42 + 3*d - 2*d)*(-d**2 + 3*d**2 + 0*d**2). 2*d**3 - 6*d**2 Expand (-5*s**2 + 4*s**2 + 0*s**2)*(4 - 2 + 2)*(5 + 0 - 4). -4*s**2 Expand (-6*n**3 + 4*n**3 + n**3)*(14*n - 21 + 21) + n**4 + n**3 - n**3. -13*n**4 Expand (2*a + a**3 - 2*a)*(19 - 7 - a - 13). -a**4 - a**3 Expand (0 + 1 - 2)*(-5 + 3 + 3)*(-151 - 15*v + 151)*(-4*v + 4*v - 2*v). -30*v**2 Expand (-4 + 2 + 0)*(4*m - m - m + m**2). -2*m**2 - 4*m Expand (g**2 - g**2 - 2*g**2)*(1 + 4 - 3) + 15*g**2 - 3*g + 3*g. 11*g**2 Expand (4 + 6 + 0)*(-3*m + 1 - 1). -30*m Expand 5*z**4 + 2*z**4 - 5*z**4 + (-4*z**4 - 4*z + 4*z)*(0 + 3 - 5). 10*z**4 Expand ((-2*o + 2*o - 2*o)*(2*o - 3*o + 0*o) + (-2*o + 2*o - o)*(-o + 2*o - 3*o))*(-o - 5*o + o). -20*o**3 Expand (2 - 2 + 1)*(-1 + 2 - 5)*(-4*q + q + q)*(1 - 1 + 3). 24*q Expand (3 - 4 + 0)*(-3 + 5 - 1)*(-3*i + 5*i + 0*i). -2*i Expand (58*m + 22*m - 33*m)*(2*m**4 + m**4 - m**4). 94*m**5 Expand (4*q**2 - q**2 - 2*q**2)*(-41 + 41 + 14*q**3 + 2*q**3 + 2*q**3 - 5*q**3 + (q**3 - 4*q**3 + q**3)*(-1 + 4 - 1)). 9*q**5 Expand (5 - 2*o**2 - 5)*(-2*o**3 - o**3 + 2*o**3) + (-3 - 2*o**2 + 3)*(-2*o**3 + 0*o**3 + 4*o**3) - 3*o**5 + o**5 + 3*o**5. -o**5 Expand -3*k - k**4 + 7*k**4 - 7*k**4 - 3*k**4 + 0*k**4 + 5*k**4 - 3*k**4 + 0*k**4 + 4*k**4 + (4*k + 0*k - 3*k)*(k**3 - 3 + 3). 3*k**4 - 3*k Expand (-1 - 4 + 0)*(-30*l**4 + 0 + 24*l**4 - 2). 30*l**4 + 10 Expand (4*r - 18*r - 18*r)*(-2*r + 0*r + 0*r) - r**2 - r**2 + 0*r**2 + (-r**2 + 3*r**2 - 4*r**2)*(4 + 2 - 4). 58*r**2 Expand (-2*m + 6*m - 3*m)*(56 + 83 - 190). -51*m Expand (10*v - 5*v + 4*v)*(-v**2 + v**2 + v**4) - v**4 + v**4 + v**5 + 2*v**5 - v**5 + 0*v**5 - 2*v**2. 11*v**5 - 2*v**2 Expand m**2 + 3 - 3 + (2*m + 3*m - 2*m)*(1 - 2*m - 1) - m**2 + m**2 + 2*m**2. -3*m**2 Expand (-2*p + 8*p - 2 - 5*p)*(0*p + 5*p - 3*p). 2*p**2 - 4*p Expand (-4*u + 4*u + u)*(-2*u + 2*u - 2*u**2)*(u - u + u). -2*u**4 Expand (-4 + 6*z + 4)*(0 + 2 + 0)*(3 - 1 - 4). -24*z Expand (-w - 3*w + 2*w)*(-5 - 5 - 20). 60*w Expand (-34*q + 2*q**5 + 34*q)*(-4 + 0 + 3 + (-5 + 5 - 1)*(-2 + 0 - 2)). 6*q**5 Expand 3*q**3 - q**3 - 4*q**3 + (11*q**2 - 51 + 51)*(-q - q + q). -13*q**3 Expand (9*i**2 + 5*i**2 - 5*i**2 + (0*i + 4*i - 5*i)*(2*i + 1 - 1))*(1 + i + i + 0). 14*i**3 + 7*i**2 Expand (1 + 2*y**4 - 1)*(5*y - y + 7*y) + (-1 + 1 - 2*y**2)*(-3*y**3 + 5*y**3 - 3*y**3). 24*y**5 Expand (x + x**4 - x)*(15 + 3 - 4)*(x + x - 4*x). -28*x**5 Expand (0*r**4 - 2*r**4 + 0*r**4)*(3*r + 0*r - r) - 24*r**5 + 250*r**2 - 250*r**2. -28*r**5 Expand 3 - 3 + z**3 + (z**3 - 2*z**3 - z**3)*(0 - 5 + 3) + z**3 + z**3 - 4*z**3 + z**3 + 1 - 1 + 2*z**2 + z**3 + 4*z + 146 - 146. 5*z**3 + 2*z**2 + 4*z Expand 0*u**5 - 3*u**5 + 0*u**5 + (2*u**2 + 3*u**2 - 6*u**2)*(-2*u - u + 2*u)*(-u**2 + 7*u**2 + 5*u**2). 8*u**5 Expand -80 + 80 + 20*b**3 + 6*b**3 - 2*b**3 - 2*b**3 + (-b + 2*b - 3*b)*(2*b**2 - 2 + 2) - 2*b**3 - b**2 + b**2. 16*b**3 Expand 2*x - 3*x + 10 - 3 + (0*x + 0*x - x)*(0 - 3 + 1)*(3 - 1 + 0). 3*x + 7 Expand (2*h**2 + 2*h**2 - 2*h**2)*(-4*h + 3*h + 2*h) - h**3 - 2*h**3 + 5*h**3 + 52*h + 12*h**3 - 52*h. 16*h**3 Expand -2*m**4 - 3*m**4 + 4*m**4 + (-m + 2*m**2 + m)*(1 + 2*m**2 - 1) + 23*m + 0*m**4 - 21*m + 20*m**4. 23*m**4 + 2*m Expand ((5 - 3 - 1)*(2 - 1 + 0) + 2 - 2 - 1 + (2 + 2 - 6)*(6 + 0 - 3))*(-2*t - 2*t + 3*t). 6*t Expand (-18*l + 18*l + l**2)*(2 - 3 + 3)*(0 + 9 + 3). 24*l**2 Expand c**5 + 2*c**2 - 2*c**2 + (-c + 2 - 2)*(-5*c**4 + 4*c**4 + 5*c**4). -3*c**5 Expand ((0*j + 0*j - j)*(3 - 3 - j) + 5*j**2 - 3*j**2 + j**2 + 6*j**2 - 3*j**2 - 4*j**2 + (-2 + 1 + 0)*(0*j**2 + 0*j**2 + j**2))*(-3*j + 0 + 0). -6*j**3 Expand (1 - 1 + 3*b**4)*(-2 + 0 + 0) + 192*b**2 + b**4 - 2*b**4 - 208*b**2. -7*b**4 - 16*b**2 Expand -s**5 - 3*s + 3*s + (-2*s**3 + 2*s**3 - 2*s**4)*(3*s + s - 5*s) - s**5 + 2*s**5 + s**5 + 2*s**5 + 3*s**4 - 4*s**5 + 0*s**4. s**5 + 3*s**4 Expand -7 + 7 + 13*f**5 + (9 - f**3 + 2*f**3 - 7)*(-2*f + 2*f - 2*f**2). 11*f**5 - 4*f**2 Expand (1 + 0 - 2)*(2*g + 1 - 1)*(169*g**3 - 169*g**3 - 13*g**4). 26*g**5 Expand (-3*b + 0*b + 4*b)*(-3*b + 3*b - 2*b**2 + (0*b**2 - b**2 - b**2)*(2 + 10 - 7)). -12*b**3 Expand (4 - 18 - 2)*(-2*b + 2*b + 2*b)*(0*b - 2*b - b)*(0*b**3 - 4*b**3 + 3*b**3). -96*b**5 Expand (1 - 3 + 4)*(17 + 0*m - 14 - 5*m). -10*m + 6 Expand 4 - 4 - m**4 + (0*m + 3*m - 2*m)*(0 + m**3 + 0) - 2*m**2 + 2*m**2 + m**4. m**4 Expand (-4*k + 3*k - k)*(3 + 8 + 1). -24*k Expand (2*i + 4*i - 4*i)*(-3*i + 2*i + 2 - 1). -2*i**2 + 2*i Expand (4 - t - 4)*(2 - 26 - 2)*(-3*t + 3 - 4 + 0). -78*t**2 - 26*t Expand 2*v - 3*v - 2*v + (0*v + 3*v - v)*(-3 + 5 - 1) - 1 - v + 1 + 4 - 4 - v. -3*v Expand (-1015*y**4 - 2*y**3 + 1017*y**4 + y**2 + 13*y**3)*(3 - 3 - y). -2*y**5 - 11*y**4 - y**3 Expand (3 + 3 - 2)*(-2*r + 3*r - 3*r) + 4 - 4 - r + (-2 + 1 + 0)*(-r + 0*r + 2*r). -10*r Expand (-m + 5*m + 4*m)*(-2*m**2 - 1 + 1)*(6 - 2 - 2 + 2 - 2 - 3 - 2 + 3 + 0 + (-2 + 5 - 2)*(-2 + 3 - 3) + 6 - 4 - 3). 48*m**3 Expand (-1 - 5 + 3)*(0 - 3 + 2)*(2*i**2 + 1 - 1)*(0*i**2 + 3*i**2 - 4*i**2). -6*i**4 Expand (z - 4 + 4)*(-2 + 2*z + 2) - 618 - 78*z**2 + 618. -76*z**2 Expand (-6*j + 5*j - 10*j)*(-2*j + 0*j + 0*j) + (2*j - 1 + 1)*(2*j + 1 - 1) - 6*j**2 + j**2 + 4*j**2 + (-2*j - j + 2*j)*(0*j + 4*j - 5*j). 26*j**2 Expand ((0 - 2 + 1)*(3 - 1 - 4) - 1 - 5 - 2)*(-2*m**5 - 3 + 3). 12*m**5 Expand -n + 3*n - n - 2*n + 17*n - 7*n + (-3 + 0 + 1)*(-n + n - n). 11*n Expand 3 - 3 - q**2 + (-q + 3*q + 0*q)*(9*q - 3*q - 2*q)*(5 - 4 + 1). 15*q**2 Expand -3*d**4 + 2*d**4 + 3*d**4 + (-19*d + 32 - 32)*(-d**3 - 2*d**2 + 2*d**2). 21*d**4 Expand (0*s**3 - 2*s**2 + 5*s**2 + 2*s**3)*(-3*s**2 + s**2 - 3*s**2). -10*s**5 - 15*s**4 Expand (-4*x**2 + 2*x**2 + 0*x**2)*(-3*x**3 - 5*x**3 + 9*x**3). -2*x**5 Expand -2*f**3 + 5*f**3 - 4*f**3 + (18*f**2 - f**3 - 18*f**2)*(3 - 3 + 1) + (0 + 2*f + 0)*(-2*f**2 + 6*f**2 + f**2). 8*f**3 Expand (3*z**2 - 4*z**2 + 3*z**2)*(-5*z + 2*z + 5*z) + 2*z**3 + 0*z**3 - z**3 - 4*z**2 + 3*z**2 - 2*z**3 + 2*z**2. 3*z**3 + z**2 Expand -1 - 50*j**3 + 2 + 2*j**2 + 48*j**3 + (-2*j**2 + 2*j**2 + 3*j**2)*(3*j - j - 4*j). -8*j**3 + 2*j**2 + 1 Expand (-2 + 0*s - 2*s + 0*s)*(0*s - s + 6*s). -10*s**2 - 10*s Expand (3*y**2 - 3*y**2 - 3*y**4)*(-3 + 0 + 2)*(0 - 2 + 0). -6*y**4 Expand -q**5 + q**5 + q**5 + (0*q - 3*q + 2*q)*(-q**4 + q**4 - 8*q**4) + 5*q**5 - q**5 - 2*q**5. 11*q**5 Expand j + 8*j**2 - 8*j**2 + 3*j**4 + (3*j**2 - j**2 - 4*j**2)*(j - j - j**2). 5*j**4 + j Expand -v**2 - 2*v**2 + v**2 + (-1 - 3*v + 1)*(-5*v + 4*v - v) + v**2 - v**2 - 3*v**2. v**2 Expand (7 + 12*t + 1 - 17*t)*(6 - 2 - 2). -10*t + 16 Expand (y + 1 - 1)*(-7810*y + 7810*y - 112*y**3) + y**4 - 2*y + 2*y. -111*y**4 Expand (5*z**4 - 3*z**4 - 4*z**4)*(-3 + 7 + 0). -8*z**4 Expand (-4*s + 2 - 2)*(s + 0*s - 3*s) + (-5 + 2 + 1)*(-s - 2*s**2 + s). 12*s**2 Expand (3*a + 0*a - 4*a)*(10*a**2 - 18*a**2 + 52*a**2). -44*a**3 Expand (0*v**2 + v**3 + 0*v**2)*(-8 + 2 - 6 + (-1 + 0 + 2)*(2 + 5 - 5)). -10*v**3 Expand (-6*x - 4 + 2 + 0 + 0*x + 2*x - 3*x + (0*x - 4*x + 5*x)*(3 + 0 - 1) + 2*x + 0 + 0)*(x**2 + 5*x**2 - 4*x**2)*(x + 2*x + x). -24*x**4 - 16*x**3 Expand -2*f**2 + 3*f**5 + 0*f**2 - f**5 - 2*f**5 + 0*f**3 + 0*f**3 + (-5 - 4*f**3 + 5)*(-2*f**2 - f**2 + 4*f**2). -4*f**5 - 2*f**2 Expand (4*c**3 - 2*c**4 - 4*c**3)*(c - 4 + 4)*(-2 + 6 + 9). -26*c**5 Expand (0*k**4 + 3*k**4 - 2*k**4)*(0 + 3 - 2 + (0 + 4 - 2)*(-3 + 4 - 3) - 1 - 3 + 1 - 1 + 0 + 3). -4*k**4 Expand (-2*s**4 + 5*s**4 - s**4 + (-s**2 - s**2 + s**2)*(-3 + 3 + s**2) + s**4 - s**4 - 2*s**4)*(2 - 2 - 6*s). 6*s**5 Expand (-3*l**3 + 0*l**3 + 4*l**3)*(2 - 3 + 3) + 2*l**3 - l**3 - 3*l**3 + (0*l**2 - 4*l**2 - l**2)*(0*l - 3*l + l). 10*l**3 Expand (-4*a + 4*a + a)*(2*a - 2*a - 2*a**3) + a**4 + 0*a**4 + 2*a**4 + (a + a + 0*a)*(-4*a**3 -
{ "pile_set_name": "DM Mathematics" }
x = h + 4. Let t = x - 0. Solve -p = -r, -4*p - 2 = -3*r - t*p for r. 1 Let r = -3 - -15. Solve 0 = 4*m - r, 3*a + 0*m = 4*m for a. 4 Let y = 1 + 3. Suppose y*a - 35 = -3. Let b = -6 + a. Solve -6 = -3*j, 0*v = 3*v + b*j - 13 for v. 3 Let y(k) = -k + 3 + k**2 - 2*k**2 + 3. Let c be y(0). Solve c = 2*z, z - 7 = -2*p + 2 for p. 3 Suppose 5*r = 1 + 19. Suppose r = -g - 1. Let i = g - -5. Solve 2*u + m = -i*m - 2, 3*m - 24 = 4*u for u. -3 Let c(v) be the first derivative of v**2/2 + 17*v - 2. Let m be c(-7). Let o be 3*4/(-6) + m. Solve o*f + q - 24 = 3*f, -5 = -2*f - 5*q for f. 5 Let c(i) = 7*i**2 - 2. Suppose -d + 6 = -0*y - y, -3*d + 10 = -y. Let f be c(d). Solve 4*a + 8 - f = 3*t, 0 = 5*t + a + 7 for t. -2 Suppose 4*w = 2*v - 7*v + 61, -4*w = 4*v - 56. Suppose -c = -w + 5. Solve c*k + 9 = 2*l - 3*l, -5*l + 1 = -3*k for l. -1 Let x(k) = -5*k**3 - k**2 - k - 1. Let s be x(-1). Suppose 2*f + 8 = 4*w, 0 = -2*w - 2*f + 6*f + s. Solve 3 = -5*a - w*g + 12, -a + 4*g = -15 for a. 3 Let c = 1 - -1. Solve 4*x - c*j + 6*j = 16, 2*j = x + 5 for x. 1 Let q(t) = -5*t + 5. Let x be q(4). Let p be ((-12)/x)/((-4)/(-30)). Solve 2*r + 26 = 4*m, m = p*m - 20 for r. -5 Suppose -10 = -2*p - 3*v + 6*v, 3*v = p - 8. Suppose -c - p*c = -45. Suppose h = 6*h - c. Solve h*r - 5 = -k, -4*r = -k - 0*k - 16 for k. -4 Suppose -2*z - 6 = -2*n, n + 0*z + z = 5. Suppose -h - 4*h = -3*j + 6, -2 = -j + 3*h. Solve 2*s + 21 = y - j*s, n*y - 12 = -2*s for y. 5 Suppose 4*v + 13 = -f, -3*f - 7 = -v - 20. Let o = 0 - -2. Let n = -3 - -6. Solve -2*a - 5*q + f = 0, -4*a - o*q + 1 = n for a. -1 Let o be (10/4)/((-7)/(-14)). Solve o*n = -3*c + 25, 0*n - n = -2*c + 8 for n. 2 Let x = 25 - -11. Let w = x - 18. Let r = -4 + w. Solve g - 3 + 5 = -u, -r = -2*u + 4*g for u. 1 Let o = 18 - 31. Let i = o + 30. Solve -3*m = -4*z + 3, 4*z + 6*m + i = 5*m for z. -3 Let z = 11 + -6. Solve z*d = 3*a + 9 - 0, 5*a = 10 for d. 3 Let r(q) = q**3 + 12*q**2 + 10*q + 12. Let l be r(-11). Solve -2*b - 2*b = -5*a - l, 4*a + 5*b = -2 for a. -3 Suppose -5*m = -7*m - 44. Let i = m - -52. Solve 5*y - 2*t + i = 0, -1 = -2*y - t - 4 for y. -4 Let r = 12 + -2. Let h = 15 + -11. Let j be (-7)/((-9)/6 - -1). Solve -h*i - q - j = q, 4*q = -2*i - r for i. -3 Let n = -19 + 27. Suppose 3*x - 3*b = -x + 36, -5*b - 20 = 0. Let h = n - x. Solve -3*i = h*y + 9, 0*i - i - 3 = -y for y. 0 Let l = -52 + 55. Let b = -4 - -3. Let u be (2*1)/(b - -2). Solve 0 = u*s + 5*m - 1, l*s + 16 = 4*m + 6 for s. -2 Let o(g) = -g**2 + 5*g. Let r be o(4). Let u(k) = k**3 + 7*k**2 - 2*k - 8. Let z be u(-7). Suppose 16 = 5*j + z. Solve v = 5*w - 4 - r, 5*v = j*w - 17 for v. -3 Let h(v) = -v**2 + 10*v + 1. Let o be h(10). Suppose 0 = -f + 3 + o. Solve -4*d - f = -5*u, d + 3*u + 1 = -u for d. -1 Suppose 0 = -g + 2*g. Solve g = l + 5*w + 26, -4*l - w = w + 14 for l. -1 Let f = 36 + -31. Solve 8*v = -2*b + f*v - 6, -5*b = -4*v + 15 for b. -3 Suppose 10 = 4*r - 2*r. Suppose u - 8 = -3*u. Solve 0 = -l + 5*l - 5*g + u, 5*g = -r*l + 20 for l. 2 Suppose -2*m + 4*m = 0. Suppose -5*v = -3*b - 28, -4*v = 2*b - b - 19. Solve -j = -v*r, j = -m*j for r. 0 Suppose 6 = 4*c - d - 15, 1 = c + 4*d. Solve -5*b = 3*y - 4, -3 = y + c*b - 1 for y. 3 Suppose 2*u - 2*w = 40, 0*u - 4*w + 48 = 4*u. Solve -3*l - u = 4*i + 2*l, -4*i + 2*l = 16 for i. -4 Let h = -2 + 17. Suppose -3*v = -0*v - h. Solve 6 = -3*p - 6*x + 3*x, 0 = 3*p - v*x - 10 for p. 0 Suppose 6*r - r = 305. Let g be (2/3)/(6/99). Suppose -5*a - g = -r. Solve 3*s - c = -7, -2*c = 5*s - 4*c + a for s. -4 Let q(b) = b**3 + 5*b**2 - b - 1. Let v be q(-5). Let u = 45 - 26. Let r = -19 + u. Solve -v*c + 4 = -5*a - 4, -5*a = r for c. 2 Let r = 0 + 5. Solve r*z = 0, -5*h + z = 4*z for h. 0 Suppose 0*t - 3 = -t. Suppose 16 = t*u - 20. Suppose 0 = 4*k - k - u. Solve c - y + k = 0, -12 = -2*c + c - 3*y for c. 0 Let c(s) = s**3 - 21*s**2 + 22*s - 39. Let i be c(20). Solve -3*z + i = -4*z, 2*j + 5*z = -5 for j. 0 Let s(i) = -5*i**3 + 3*i + 2. Let x be s(-1). Let p = -8 - -12. Solve 3*z - 2*k + 9 = -8, p*z + x*k + 16 = 0 for z. -5 Let r be 9/2 - 4/(-8). Solve r*m - 2*d - 12 = -4*d, -2*m = -5*d + 1 for m. 2 Let p be (-12)/8*(-1 + -1). Suppose -2*v = -3*c - 0*v - 6, 5*c - p = -v. Let g(m) = 3*m - 2. Let q be g(2). Solve -w + 4*f - 28 = q*w, c = w - 4*f + 12 for w. -4 Let g(c) = 3*c + 6. Let j be g(1). Solve 2*p - 3*w = -3*p - j, 3*p = -2*w + 6 for p. 0 Suppose 11*d - 170 = d. Solve -5*o + d = j, o - 5 + 0 = -j for j. 2 Let q(i) = -4*i + 11. Let h(s) = 5*s - 12. Let t(p) = -6*h(p) - 7*q(p). Let o be t(-4). Let a be 1 + -4*-1*1. Solve -a*u + 5 = -x, -o*u = -3*x + u + 7 for x. 5 Suppose 2*p - p - 5*j + 8 = 0, -j - 16 = 2*p. Let u be (-2 + -10)*p/24. Solve -c + 4*v = 5, -5*v = u*c - v - 20 for c. 3 Let s = -7 - -29. Let c(k) = -k**3 + 10*k**2 + 11. Let r be c(10). Let l = 13 - r. Solve -d + 3*o = -2*o - 23, -4*o - s = -l*d for d. 3 Let n be (1 - -7 - 2) + -2. Suppose -2 = -n*g + 10. Solve g*x = h - 5*h - 10, -4*h + 3*x = -2 for h. -1 Let q(a) = -6 + a + 2 - 5 + 3. Let p be q(10). Suppose -5*y + 2*s + 0*s + 21 = 0, 27 = 5*y + s. Solve -4*i - p*o = -32, 0 = -i - y*o - 0*o + 20 for i. 5 Let l = -95 + 29. Let z be 15/(-25) + l/(-10). Let c be 8/6*9/z. Solve 5*y + 2*r = -9, 0 = y - c*y + 5*r + 9 for y. -1 Let z = -12 - -10. Let m(d) = d**2 - 6*d + 6. Let g be m(6). Let a be (4 + z)*g/4. Solve -5*p + a*j + 21 = -p, -3*p = 3*j for p. 3 Let z(c) = -2*c**3 + 2*c**2 + 4. Let s be z(-2). Solve k = u + 4*u - s, -21 = 2*k - 3*u for k. -3 Let n(a) = a - 5. Let s be n(4). Let g be (-2 - -7)*(2 + s). Suppose g*q + 4*w = 13, 0 = 2*w - 2 + 8. Solve -3*z + 15 = 0, -q*p = -3*z + 5 - 0 for p. 2 Suppose -4*b = -5*o + 21, -7*o - 3 = -2*o + 2*b. Suppose 0 = -4*i + a + 27 + 13, 0 = -3*a. Solve 0 = 3*z + t - i, 19 = 4*z + 3*t - o for z. 2 Let c = -11 - -11. Solve -v = -p - 4 + 2, c = 3*v - p - 12 for v. 5 Let l = -12 - -22. Solve f - 2 = -3*r - 0*f, 0 = 5*f - l for r. 0 Let j be 12/8*2 - 2. Let c be 2/(3/(-9) + j). Solve -2*p = 3*z - p + 8, -c*p + 12 = -3*z for z. -3 Let v = -75 - -77. Solve 4*k - 2 = -s + 2*s, v*k = -4*s + 10 for s. 2 Let c be (1 + -6)*3/(-5). Suppose 3*z - z - 11 = -3*x, -4*x - c*z + 16 = 0. Solve -3*h - 2*j = -4*h + x, -3*h = -5*j - 3 for h. 1 Suppose 5*v - 13 = -3. Solve 3*s = 15, 4*r + v*s - 38 + 12 = 0 for r. 4 Suppose -2*w - 4 = 4. Let q be (-30)/w*12/18. Solve 5*s = 3*o + 4, -5*o - 7 = q*s + 13 for s. -1 Suppose -4*m - 4*d + 44 = 0, 2*d + 13 = 4*m - 7. Suppose -2*k - 1 = -m. Solve -k*n - 2*g - 33 = 2*n, -2*n + 2*g = 2 for n. -5 Let q be 0/(2 - (2 - (-1)/(-1))). Solve 4*o - 1 = -2*k - 9, 5*k - 20 = q for o. -4 Suppose 2*j - 3*l = 32, 9*l - 5*l = -3*j + 65. Solve -5*m + 10 = 0, -4*r - 2*m = -9*r - j for r. -3 Let p(g) = g. Let v(a) = -6*a - 3. Let j(r) = 4*p(r) + v(r). Let h be j(-4). Solve -2*n - h*s = -0*n - 12, -4*n + 2*s = 0 for n. 1 Let g = -128 - -128. Solve 4*r + 4 = g, 2*d + r + 4*r = -7 for d. -1 Let y = 47 + -43. Solve -y*k + 3*l = -k - 3, 5*l + 13 = k for k. -2 Let t = -4 + 4. Solve t = -2*v - 0*v + 2, -2*b + v = 1 for b. 0 Let k(l) = 2*l**2 + l. Let b be k(1). Solve 6 = -b*m - 6, 5*m = 5*d - 15 for d. -1 Let a(i) = -i**2 + 9*i - 10. Let j be a(7). Solve m = 3*u - 11, 4*m - 2 = 2*u + j for m. 4 Let i be (-3 + 0)*(-4)/6. Let a = -2 + i. Solve -2*q - y - 5 = 9, -4*q + 5*y = a for q. -5 Let m = -10 + 1. Let r = m - -20. Solve -4*h - 3 = -2*l + 7, r = -2*h + 3*l for h. -1 Let i be 4/22 + 84/22. Suppose 2*p = -w - p - i, -3*p - 10 = -2*w. Let f = -5 - -5. Solve -x + w*m + 1 = f, 5*x + 9 = -2*m - 22 for x. -5 Suppose 7*w + 4*k - 18 = 4*w, 0 = -w - k + 6. Suppose l + 2 = 5. Suppose -21 = l*a - w*a. Solve -4*c - 20 = 3*q, -4*q - c - 5 = -a*q for q. 0 Let t(h) = -h - 19. Let x be t(-14). Let d(y) be the first derivative of y**2/2 + 10*y - 1. Let a be d(x). Solve 5*f + a = 5*i, 0 = 3*i + f + 1 - 0 for i. 0 Let q be (8/5)/(2/5). Solve q*x + 13 = -5*g + 1, 2*g + 8 = 0 for x. 2 Suppose -2*w + 0 + 10 = 0. Let y(h) = -h**3 + 6*h**2 - 7*h + 14. Let q be y(w). Solve 2*b - 22 = q*s, 3*s = 5*b - 0*s - 20 for b. 1 Suppose -5*v = -10 - 5. Suppose v*b - 4*b + 20 = 0. Solve 4*w - 2*n + b = 0, 4*n = -3*w + 5*n - 15 for w. -5 Let l(h) be the first derivative of h**2/2 + 2*h + 3. Let a(r) = -r - 2. Let q(w) = 3*a(w) + 4*l(w). Let j be q(5). Solv
{ "pile_set_name": "DM Mathematics" }
osest to 0.1096 in -0.1, 3, -2/13, -209? -0.1 Which is the closest to -29/5? (a) -4/7 (b) 4/3 (c) -2 (d) -5.2 (e) 0.2 (f) -2/51 d Which is the closest to -148? (a) 1 (b) -2 (c) -2/5 (d) -0.04 (e) 0.194 b Which is the closest to -19? (a) -34.6 (b) 0.11 (c) -1/26 a What is the nearest to 2 in -5, -230, -0.49? -0.49 Which is the nearest to -1? (a) 9 (b) -27 (c) 3.776 c What is the closest to 16/25 in 0.4, -0.2, 0, -1/11, -7? 0.4 Which is the closest to 0? (a) -2/11 (b) -0.01216 (c) 37 b Which is the nearest to 1? (a) 16/13 (b) 15352 (c) -3/2 a What is the nearest to 15 in -1457, 1/98, 3? 3 Which is the closest to 0.1? (a) 8/13 (b) -2/11 (c) 1/82 (d) -38 (e) -2/3 c Which is the nearest to -1? (a) 10 (b) 0.3 (c) 52 (d) 3/244 d What is the nearest to 5 in 15, 8249, 4? 4 What is the nearest to -5.8 in -5, -0.5, 11482/9, -0.1, -2/5? -5 What is the nearest to 0 in 5, 1.397, -625/2? 1.397 Which is the closest to -1/4? (a) 0.031 (b) 39 (c) 4 (d) 0.4 (e) -2 a What is the closest to 0.1 in 2/5, 1, 24, 20185? 2/5 Which is the nearest to -0.8? (a) -2/9 (b) -1015 (c) -23 (d) 8 (e) -4 a Which is the closest to -9? (a) -0.4 (b) 1 (c) 417 a Which is the nearest to -19825? (a) 22/5 (b) -20 (c) -2/7 b Which is the nearest to -2/9? (a) 123 (b) 12 (c) 2 (d) 0.15 d Which is the closest to 0.51? (a) 118/55 (b) -4 (c) 0 c What is the closest to -1 in 953.8, -7, -22? -7 What is the closest to 0.1 in 1/3462, 3/4, 40, 0? 1/3462 What is the closest to -24 in 0.2, 36006, -5? -5 What is the closest to -2/3 in 3764, -0.4, 3/2, -3/5? -3/5 Which is the closest to 5? (a) -4 (b) 0.05 (c) -3/4 (d) -5262 b What is the nearest to 3/5 in 2/3, -393.8, -12828? 2/3 What is the closest to -0.8 in -3, 0.053, 6, -53? 0.053 What is the closest to 0.3 in 0.4, 0.32, -0.3, 433? 0.32 What is the closest to -2 in 0.138, -4/3, 0.04, 4/5, 59/3, -0.4? -4/3 What is the closest to -0.06 in -0.1, 1.62, 796, -3? -0.1 What is the closest to 1/9 in -7109, -2, 0.1? 0.1 Which is the closest to 46? (a) 5/3 (b) 4 (c) 0.5 (d) -701.4 b Which is the closest to -1/4? (a) -1/3 (b) 9876 (c) -6 (d) 23/4 a Which is the nearest to 2.9? (a) 2/5 (b) -3/2 (c) -5/3 (d) 14 (e) -5 a What is the closest to 220/7 in -18, -9.4, 2/25, -2? 2/25 What is the closest to -4 in 0.2, 0.4, 10942.75, 0? 0 What is the closest to 16 in 10, 0.3, -1723.6? 10 Which is the closest to -0.1? (a) 4 (b) 7 (c) 2/49 (d) -32/75 c What is the closest to -0.1 in -17020/17, 0.5, -3, 3, -0.5, -5? -0.5 What is the nearest to -1/7 in -21, -2381, -7/52? -7/52 What is the closest to 1 in -1.7, -45.46, 15, -0.2? -0.2 What is the closest to 2/9 in 1/3, -0.4, -87/923, -2/13, -4? 1/3 What is the nearest to -3/17 in -103, -247, -1/7? -1/7 What is the closest to -1/4 in 0, -329, 17, -3/2, -0.4? -0.4 Which is the closest to 0.2? (a) 2 (b) -1/3 (c) 2/8291 (d) -2 c Which is the closest to 5/2? (a) 6 (b) -30/13 (c) -0.714 (d) -1.6 c What is the nearest to -1/2 in -2/9, -5, 13572/59485? -2/9 What is the closest to 27 in 0.5, -14, 1, 3, 1/540? 3 What is the nearest to 87 in 1.676, 0.4, 13? 13 What is the closest to 3/4 in 1/1090, -4, -0.27, 1/4? 1/4 What is the closest to -0.5 in 18/1289, -3/142, 1? -3/142 Which is the closest to 0.4? (a) 1/2 (b) -7 (c) 35.7 (d) 1573/3 a Which is the closest to -309? (a) 4 (b) -1/2 (c) -0.3 (d) 1 (e) 24 (f) -46 f What is the closest to 1.7 in -8, -5/8, -10, 0.3, -1.07? 0.3 What is the closest to -2/3 in 0.1, 7, -4, 2/13, -0.02? -0.02 Which is the nearest to 16? (a) 0 (b) -435 (c) 0.5 (d) 59 c What is the closest to 55 in 1/31, 53, 0.1? 53 Which is the nearest to -82? (a) -2 (b) 0.3 (c) 57 (d) -3 (e) -0.1 d Which is the closest to 17? (a) -1/7 (b) -2 (c) -335 (d) -10 (e) -0.05 (f) 0.2 f Which is the closest to 106361/2? (a) 2 (b) 1 (c) 5/6 a Which is the closest to -5.9? (a) 1.5 (b) 0.4 (c) 8 (d) 11 b Which is the nearest to 44/9? (a) 132.8 (b) -1 (c) 154 b What is the closest to -2/169 in 7/2, 5, -151, -0.3, 2? -0.3 Which is the nearest to 2? (a) 5 (b) -2 (c) -11.906 (d) -4 (e) 0.2 (f) 169 e What is the closest to 0.057 in 5/11, -2, 0.3, -0.7? 0.3 Which is the nearest to -7319.6? (a) 0.2 (b) -5 (c) 1/53 b What is the nearest to -388 in 0, -0.04, -1/7, 2, -5? -5 Which is the nearest to 58732? (a) -5 (b) -2 (c) -0.3 (d) 0.3 (e) -149 d What is the nearest to 106.7 in -0.1, 0.4, 1.7? 1.7 What is the nearest to 1363/8 in -0.2, 0.4, 4, 11/7? 4 What is the nearest to 4 in 5, 17/4, -11196, 0.5? 17/4 Which is the nearest to 0? (a) 2 (b) 0 (c) 5 (d) 44778 b What is the closest to 0 in 3, -32/1499, 0.087, 2/9? -32/1499 What is the closest to 6 in 5, -0.52, -59, 0? 5 What is the nearest to 16/3 in 1, 0.1, -51, -1/2, 123? 1 What is the closest to 25 in -0.2, -11, 2, 0.327, -4, -2/7? 2 What is the nearest to -0.1 in 5, -8, 1095, 4, -996? 4 What is the nearest to -0.7 in -2/1219, -0.1, -234? -0.1 Which is the closest to 0.121? (a) -1 (b) -1.77 (c) -4 (d) 5 (e) 26 a What is the closest to 4 in 4, 36, -20312, 0.2? 4 Which is the closest to -0.1? (a) -5 (b) -16 (c) 5 (d) 3 (e) -0.4 (f) 3.06 e What is the nearest to 0.1 in 2/3819, 3/20, -2? 3/20 What is the closest to -13514 in 80, 5, -2/9? -2/9 Which is the closest to -3/19? (a) 1/6 (b) -3740 (c) -4 a What is the nearest to -13/7 in -110, -5/6, -0.2, -7, -5/2? -5/2 Which is the nearest to 3.8? (a) -2/29 (b) -0.1 (c) -6.1 (d) 1/2 (e) 13 d What is the closest to -0.4 in -219, 0.4, 2/123, 0.3? 2/123 What is the nearest to 2/5 in 0.171, 3, 1/4, -1, 3.7? 1/4 What is the closest to 0.1 in 0.13, 3/5, -2/15, 5, 0.4, 59? 0.13 What is the nearest to 1/3 in -31, 12, 3, 0.171? 0.171 What is the closest to -78 in 8, -883, -2? -2 What is the closest to 1/2 in -60, -106841, -2? -2 Which is the closest to 0.6? (a) 12 (b) -15/4 (c) -71/4 (d) -5 b Which is the closest to -41/5? (a) -659 (b) 0 (c) -1/4 (d) -1/6 c What is the nearest to 0.11 in -69005, 2/11, -5? 2/11 What is the nearest to 0.05 in -1, 706, -2/3, 6, -0.03, 1? -0.03 Which is the nearest to -8/3? (a) -57 (b) 3/8 (c) -3 (d) -1442 c What is the closest to 1321 in -5, -44, -2/21? -2/21 Which is the closest to -17? (a) -1/4 (b) -156 (c) 2994 a Which is the nearest to -1/7? (a) 1/11 (b) 5 (c) -10705 (d) 0.2 a Which is the closest to -36? (a) -0.145 (b) 1 (c) 0.2 (d) -1/5 (e) -3/5 e What is the closest to 212 in 1/23, 19, -5? 19 Which is the closest to 1/596? (a) 0.4 (b) 38 (c) 998 a Which is the nearest to -1? (a) -4 (b) 21.694 (c) -1 (d) -1/24 c Which is the nearest to -2? (a) 3 (b) -4 (c) -5/3 (d) 241276 c Which is the nearest to -10? (a) -1 (b) -1431 (c) 4 (d) 5 a Which is the closest to -6/7? (a) -54 (b) -0.02 (c) 2.85 b Which is the closest to 408? (a) -2 (b) 70 (c) -14/11 (d) -0.01 b What is the closest to 0.69 in -2/7, -861, -2/127? -2/127 Which is the nearest to -1/75? (a) -2 (b) -0.11 (c) -14 (d) -7 b What is the closest to -5 in 32, 0, -0.12? -0.12 Which is the nearest to 9? (a) 27 (b) -3 (c) 2/5 (d) 5 (e) 304/5 d What is the closest to -2 in 0.29, -0.8, 1/3, 2, -3, -0.2? -3 Which is the closest to -4408? (a) -9 (b) -1/2 (c) -2.1 a What is the nearest to 127704 in -1.2, -3, 5? 5 What is the closest to 0.1 in 10, 1, 12, 1.901, -0.3? -0.3 What is the nearest to 0 in 596, -20, -44, -1? -1 Which is the closest to 6? (a) 67 (b) 3/8 (c) -23140 b Which is the closest to 43? (a) -0.07 (b) 2/11 (c) -0.1 (d) 894 (e) -1/4 b Which is the nearest to -2/7? (a) 16 (b) -94 (c) 5992 a Which is the nearest to -4/57? (a) -1/6 (b) -4/97 (c) -1 (d) 1/2 (e) 3 b What is the closest to -1/3 in 0, 382, -113, -3? 0 Which is the nearest to 1/52? (a) -1/9 (b) -91 (c) 37 (d) 1 (e) -3 (f) -4 a What is the nearest to -2/11 in 24, 2, -2737, 0.5? 0.5 What is the nearest to 0.1 in -1/2, 2, 1/78, 5/29, -0.06, 0.1? 0.1 What is the nearest to -3 in 2/11, -4, -6093.25? -4 Which is the nearest to -2? (a) -0.5 (b) 5 (c) -19561 (d) 4 (e) 10 a Which is the closest to -0.1? (a) -11 (b) -5 (c) -284462 b Which is the nearest to 1? (a) 2.118 (b) -36/7 (c) -4/5 (d) 0.2 (e) 1/2 (f) -4/9 e What is the closest to -2 in -21370, 5, -2/7? -2/7 What is the
{ "pile_set_name": "DM Mathematics" }
sequence at when two letters picked without replacement from {a: 1, l: 1, s: 2, t: 1}. 1/20 What is prob of sequence ne when two letters picked without replacement from {n: 13, e: 3, z: 1}? 39/272 Two letters picked without replacement from {b: 4, z: 1, w: 3, c: 3, v: 2, p: 3}. Give prob of sequence vc. 1/40 What is prob of sequence aaaa when four letters picked without replacement from aatatatj? 1/70 Four letters picked without replacement from bfcbbefcbffhfdhcehf. Give prob of sequence fehf. 5/2584 Calculate prob of sequence bss when three letters picked without replacement from {b: 1, k: 4, g: 3, s: 2}. 1/360 Two letters picked without replacement from {i: 8, l: 5, y: 2}. Give prob of sequence yy. 1/105 What is prob of sequence tck when three letters picked without replacement from atgkctktgakgc? 3/286 What is prob of sequence ccc when three letters picked without replacement from {c: 2, r: 1}? 0 What is prob of sequence ps when two letters picked without replacement from ppppppppppppssppppp? 17/171 Four letters picked without replacement from {m: 9, g: 2, z: 2, l: 1}. What is prob of sequence zlmm? 6/1001 Three letters picked without replacement from qoqqooooqo. What is prob of sequence oqq? 1/10 What is prob of sequence gp when two letters picked without replacement from ddwwwwnwdpdgdw? 1/182 Two letters picked without replacement from {y: 1, q: 1, a: 2}. What is prob of sequence ya? 1/6 Four letters picked without replacement from bbpppppppppppppbpppp. Give prob of sequence bpbp. 4/285 Four letters picked without replacement from {f: 5, l: 2, r: 3}. What is prob of sequence flrf? 1/42 Three letters picked without replacement from {l: 1, h: 11}. Give prob of sequence hhh. 3/4 Four letters picked without replacement from {u: 3, o: 8}. Give prob of sequence uuuo. 1/165 Three letters picked without replacement from aecyx. What is prob of sequence cay? 1/60 Calculate prob of sequence mi when two letters picked without replacement from {i: 5, m: 14}. 35/171 What is prob of sequence hjh when three letters picked without replacement from {j: 2, y: 2, h: 2, t: 6}? 1/330 What is prob of sequence am when two letters picked without replacement from kkaptmwpm? 1/36 Calculate prob of sequence qqqw when four letters picked without replacement from {q: 7, w: 1, t: 10}. 7/2448 Four letters picked without replacement from ssttssttvvsssp. What is prob of sequence psvv? 1/1716 Calculate prob of sequence cjcl when four letters picked without replacement from {l: 2, j: 1, y: 1, c: 2}. 1/90 What is prob of sequence qrql when four letters picked without replacement from rrlrrrqocrrqll? 1/572 Calculate prob of sequence kt when two letters picked without replacement from {t: 9, k: 5}. 45/182 What is prob of sequence bbn when three letters picked without replacement from bbwnwbv? 1/35 What is prob of sequence par when three letters picked without replacement from {a: 1, e: 2, p: 2, r: 6}? 2/165 What is prob of sequence aa when two letters picked without replacement from hahaaahaah? 1/3 What is prob of sequence ljl when three letters picked without replacement from lolqjjlqloqljpjq? 1/42 What is prob of sequence qfff when four letters picked without replacement from {f: 11, q: 3}? 45/364 What is prob of sequence ndo when three letters picked without replacement from {o: 1, d: 2, n: 1}? 1/12 Calculate prob of sequence ccb when three letters picked without replacement from {b: 2, c: 7}. 1/6 Three letters picked without replacement from lsllsllllll. What is prob of sequence sls? 1/55 What is prob of sequence zn when two letters picked without replacement from {h: 2, v: 1, z: 1, n: 1}? 1/20 Two letters picked without replacement from vuhuququwqw. What is prob of sequence vu? 2/55 Three letters picked without replacement from ggigtttctgitccg. Give prob of sequence gtt. 10/273 Three letters picked without replacement from wwcywcyccwcywjyy. Give prob of sequence cww. 5/168 Four letters picked without replacement from gbddbpdbbdddd. What is prob of sequence dgdb? 7/715 Calculate prob of sequence qljq when four letters picked without replacement from mqjljjqjjmlmmmjjjlm. 1/1938 Four letters picked without replacement from eefeeeff. What is prob of sequence effe? 1/14 Three letters picked without replacement from {p: 1, v: 1, a: 1, g: 1, z: 1}. Give prob of sequence pvz. 1/60 Three letters picked without replacement from {x: 2, c: 8}. Give prob of sequence cxc. 7/45 Two letters picked without replacement from yivfpfpppfvy. Give prob of sequence fy. 1/22 Calculate prob of sequence kqkk when four letters picked without replacement from kkqkkkkkkkkkxkk. 11/210 What is prob of sequence aaaa when four letters picked without replacement from {a: 7}? 1 Three letters picked without replacement from rrrrr. Give prob of sequence rrr. 1 Four letters picked without replacement from {e: 3, u: 3, y: 1, a: 1, o: 2}. Give prob of sequence ayoo. 1/2520 Calculate prob of sequence rurf when four letters picked without replacement from {u: 1, q: 1, f: 6, r: 7}. 1/130 Two letters picked without replacement from {w: 1, y: 7, o: 2, h: 5, e: 3}. Give prob of sequence oe. 1/51 What is prob of sequence zgb when three letters picked without replacement from qgzzgzbgqw? 1/80 Calculate prob of sequence gey when three letters picked without replacement from eyyg. 1/12 Three letters picked without replacement from {w: 1, t: 3, h: 4}. Give prob of sequence htw. 1/28 Calculate prob of sequence qpnp when four letters picked without replacement from ufppqupuqn. 1/420 What is prob of sequence ts when two letters picked without replacement from {s: 1, x: 3, t: 5, d: 4, a: 1}? 5/182 Two letters picked without replacement from {t: 4, w: 3, d: 2}. What is prob of sequence dd? 1/36 Calculate prob of sequence sqag when four letters picked without replacement from {q: 1, g: 6, k: 1, a: 2, s: 2, v: 5}. 1/2380 What is prob of sequence uutt when four letters picked without replacement from xuutuut? 1/35 Two letters picked without replacement from zkzq. Give prob of sequence qk. 1/12 Calculate prob of sequence moy when three letters picked without replacement from myhismo. 1/105 Two letters picked without replacement from {j: 2, i: 6, p: 11}. Give prob of sequence ij. 2/57 Two letters picked without replacement from {n: 2, t: 5}. What is prob of sequence tn? 5/21 Calculate prob of sequence cw when two letters picked without replacement from ciwic. 1/10 What is prob of sequence oni when three letters picked without replacement from ionni? 1/15 Two letters picked without replacement from okdrrkodkrdrld. Give prob of sequence ol. 1/91 What is prob of sequence vq when two letters picked without replacement from {q: 10, v: 2}? 5/33 Four letters picked without replacement from {w: 7, n: 9}. What is prob of sequence wwwn? 9/208 Two letters picked without replacement from frfjiiirrrz. What is prob of sequence rz? 2/55 Four letters picked without replacement from zkzsukssupkksskz. Give prob of sequence skzu. 5/1456 What is prob of sequence xxss when four letters picked without replacement from {s: 2, x: 3}? 1/10 Two letters picked without replacement from xenfodnofeen. Give prob of sequence xf. 1/66 What is prob of sequence llxl when four letters picked without replacement from lellx? 1/20 What is prob of sequence bbs when three letters picked without replacement from {b: 4, x: 2, h: 3, g: 3, s: 4}? 1/70 What is prob of sequence mxxm when four letters picked without replacement from {m: 5, n: 13, x: 2}? 1/2907 Three letters picked without replacement from {l: 7, j: 3}. What is prob of sequence ljj? 7/120 Two letters picked without replacement from jcjijcmcmj. What is prob of sequence ic? 1/30 What is prob of sequence yd when two letters picked without replacement from {y: 6, z: 1, j: 1, e: 3, w: 2, d: 2}? 2/35 What is prob of sequence ttt when three letters picked without replacement from tttttttttt? 1 Two letters picked without replacement from {a: 7, r: 2, y: 1}. Give prob of sequence ya. 7/90 Calculate prob of sequence ssds when four letters picked without replacement from ddddddddsdddss. 1/364 Two letters picked without replacement from vvuuuuuuuuu. Give prob of sequence uv. 9/55 Two letters picked without replacement fr
{ "pile_set_name": "DM Mathematics" }
. 1695*y**3 Expand -8*g**4 + 25*g**4 - 6*g**4 + (4*g - 11*g + 4*g)*(-g**3 - g**3 + 0*g**3). 17*g**4 Expand (1 + 2*v - 5 + v)*(0*v - 3*v + v)*(28 + 51 - 65). -84*v**2 + 112*v Expand 74*w**4 + 43*w**3 - 43*w**3 + (1 - 4 + 1)*(0*w**3 + 0*w**3 + 3*w**4). 68*w**4 Expand (4*b - 5*b - b)*(-373*b + 44*b**4 + 373*b + (1 - 1 + b**3)*(11*b + 8*b - 9*b) + b**4 - 2*b**4 + 3*b**4). -112*b**5 Expand -40*o**3 - 18*o**3 - 96*o**3 + (2*o**2 + 0*o**2 + 0*o**2)*(-3*o - o + 3*o). -156*o**3 Expand (31*c**3 + 13 - 11 + 5*c**3)*(-2 + 2 - 1)*(-4*c**2 + c**2 + 7*c**2). -144*c**5 - 8*c**2 Expand ((4*c + 2*c - 4*c)*(0 + 2 - 4) + 0*c + 0*c + 2*c + 6*c + 18*c + c)*(8 - 14 - 4)*(0 + 0 + 2). -460*c Expand (-2*j - 7*j + 5*j)*(-30 + 15 + j + 17 - 12*j**3). 48*j**4 - 4*j**2 - 8*j Expand -i - i + 9*i + 4*i + 8*i - 2*i + 3*i + 0*i - i + (i + 4 - 4)*(3 + 0 - 1) + 0*i + i + i. 23*i Expand (11*j + j + 0*j + (-2 + 0 + 3)*(3*j - 2*j + 0*j))*(6*j**3 - 3*j**3 - 4*j**3). -13*j**4 Expand 0*f**2 + 2*f**2 + 0*f**2 - f + f**2 + f + (-3*f**2 - 2*f**2 + 3*f**2)*(0 - 4 + 2) + 4*f**2 + 8*f**2 - 6*f**2 + (0*f + 0*f - 2*f)*(-2*f - 6*f + 5*f). 19*f**2 Expand (296*m - 184 + 93*m + 184)*(0 + m + 0). 389*m**2 Expand 4*g**4 - g**4 - 4*g**4 + (4*g**2 - g**3 - 4*g**2)*(4*g - 4*g + g) - g**4 + 2*g**4 - 2*g**4 - 106*g. -3*g**4 - 106*g Expand (-2*s - 2*s - 2*s)*(-s**3 + 0*s**3 + 3*s**3) + (-2*s**2 + 0 + 0)*(7 - s**2 - 7). -10*s**4 Expand (160 + 41 - 19 + 65)*(-6*h + 8*h - 16*h). -3458*h Expand -36 + 41*q**2 + 36 - 2*q + 2*q - 2*q**2 + (-4*q**2 + q**2 + 0*q**2)*(0 + 2 + 1). 30*q**2 Expand (-5*w - 3*w + 3*w)*(-4*w**2 + 4*w**2 + w**2) + 155*w**3 + 147*w**3 - 301*w**3 - 75. -4*w**3 - 75 Expand (v + 0*v - 2*v)*(2*v - 2*v + 3*v) + 6*v**2 + 2*v**2 - 4*v**2 - 2*v - 2*v**2 - 1 + 2*v. -v**2 - 1 Expand -4*w**2 - w**4 + 6*w**2 + 8 - 7*w**2 - w**4 - 2*w**4 + 4*w**4 + (-w**4 - w + w)*(2 + 2 - 6). 2*w**4 - 5*w**2 + 8 Expand (-5 + 4 + 3)*(3*t + 4 - 6 - 9)*(-2*t**3 + 3*t**3 - 2*t**3). -6*t**4 + 22*t**3 Expand (-8*l + 32*l - 11*l + (-3*l + 5*l - 4*l)*(0 + 3 - 4) + 0*l - 3*l + 4*l)*((0 + 1 + 0)*(1 + 1 - 1) + 0 - 2 + 3 + 1 + 5 + 1). 144*l Expand 1 - 1 - j**2 + (-j + 7*j - 2*j)*(-j - 3*j + 2*j) + 2*j**2 - 2*j**2 - 2*j**2 + (0*j + 0*j - 2*j)*(4*j - 2*j - j) + (3 - 3*j - 3)*(-j + 0*j - 5*j). 5*j**2 Expand (-2 - 1 - 1)*((-3 + 3 + f)*(3 + 1 - 5) - 4*f - 8*f + 2*f - 2*f - f + 2*f). 48*f Expand (2 - 5 + 4)*(-21*n**2 - 13*n**2 + 8*n**2 + (0*n - 3*n + n)*(-1 - 2*n + 1))*(-n**2 + 0 + 0). 22*n**4 Expand (9 + 0 + 19)*(-2*f + 0 + 0)*(4 + 0 + 0)*(1 - 3 + 1). 224*f Expand (9*p - 23*p + 9*p)*(3*p - 9 + 9) + 0*p**2 - 5*p**2 + 2*p**2. -18*p**2 Expand (1 - 6 + 4 + 2 + 4 - 2 + (-1 - 4 + 3)*(-1 - 1 + 0))*(-2*y - 4*y + 5*y + (0 + 1 + 0)*(2*y + 4*y - 3*y))*(0 + 0 - 1). -14*y Expand i**2 - 5*i**2 + 3*i**2 + (0 + 7 - i - i)*(4 + 0 - 1)*(8*i + 15 - 15). -49*i**2 + 168*i Expand (-5 - 2 + 40)*(-1 + y + 1) - 2*y + y + 0*y + (-2 + 3 - 3)*(-5 - y + 5). 34*y Expand -7 + 5 + 0 + 59*x**2 + (-3*x + 3*x - 2*x)*(-2*x - 2*x + 2*x) - 2*x**2 - 3*x**2 + 6*x**2 - 1 + 2*x**2 + 1. 66*x**2 - 2 Expand (19*l - 5*l - 2 - 9*l + (-2 - 3 + 4)*(2*l + 2*l - 2*l))*(-16 + 5 - 6). -51*l + 34 Expand (3*l + 3 - 3)*(0 + 1 + 0)*(3 + 2 - 6). -3*l Expand (0 + 4 - 3)*((4 - t - 4)*(3*t**2 + t**2 - t**2) - 5*t**3 + 2*t**3 + 2*t**3 - 6*t**3 + t**3 + t**3 + (-t + t + t)*(-2*t**2 + 1 - 1)). -10*t**3 Expand (0 + 6 - 3)*(3*c**5 + 22*c**5 + 143*c**5). 504*c**5 Expand i - 3*i**4 - i + (3*i**3 + 0*i**3 + 3*i**3)*(4*i + 2*i + 2*i). 45*i**4 Expand -q**5 - 6*q**3 + q**4 + 5*q**3 - q - 3*q + (4 - 2 - 5)*(q**5 - 2*q**5 - q**5). 5*q**5 + q**4 - q**3 - 4*q Expand -f**3 - f**3 + f**3 + (-f**2 - 2*f**2 + f**2)*(-18255 + 70*f + 18255). -141*f**3 Expand (-4*h**2 + 5*h**2 + 4*h**2)*(2*h**2 + 2*h**2 - 6*h**2)*(0 + 6 - 4 - 8*h). 80*h**5 - 20*h**4 Expand (-2*k + 10*k - 3*k)*(-61*k**2 - 61*k**2 + 122*k**2 + 229*k**4). 1145*k**5 Expand ((0 - 4 + 5)*(-a + a + a) + a - 1 + 1 + 4*a + 0*a + a)*((-3*a + 2*a + 2*a)*(-2*a + 4 - 4) - 5*a**2 - a**2 - 4*a**2). -84*a**3 Expand (2*o**3 + o**3 - 6*o**3)*(-6*o**2 - 13*o**2 + 9*o**2) + (7*o - 3*o - 3*o)*(2*o**4 + o**2 - o**2). 32*o**5 Expand (-3 - 4 - 4)*(h**2 + 10*h + 6 - 10*h). -11*h**2 - 66 Expand (5 - 2 - 2)*(3*s**2 + s**2 - 3*s**2)*(1 - 4 - 1). -4*s**2 Expand (-5 + 0 + 3)*(125 - 391 + 130 - 10689*l + 136). 21378*l Expand (2*y - 2*y - y**2)*(-5 - y + 5) + (-6*y + y + 2*y)*(2*y**2 + 0*y**2 - y**2) - 2*y**3 + 2*y**3 + 3*y**3. y**3 Expand 3*x - x**5 - 3*x + (-x**2 - 2*x**3 + x**2)*(1 - x**2 - 1) - 3*x**3 + x**5 + 3*x**3 + 7*x**5 - 17 + 17 - 30*x + 33*x - x**5 - x**5. 7*x**5 + 3*x Expand (0*x - x - 5*x)*(0 + 1 - 3)*(2*x**2 + 0*x**2 - 4*x**2)*(8*x**2 + 3*x**2 - 12*x**2). 24*x**5 Expand (1 - 1 + 2*u)*(3 - 2 + 8)*(1 + 3 + 11). 270*u Expand (16 + 7 - 21)*(-o**2 + 5*o**3 + 5*o**2 - 2*o**2). 10*o**3 + 4*o**2 Expand (52 + 70 - 63)*(-7*o + 7*o + 2*o**2). 118*o**2 Expand (0 - 2 + 1)*(-2*a - 1 + 1) + 3*a + 0*a - a - 2*a + 0*a + 0*a - 223*a - 473*a - 490*a - 56*a + (-2 + 2 + 2*a)*(-1 + 3 + 0). -1236*a Expand (-5 + 5 + 5*k)*(-7*k**3 - 18*k + 18*k). -35*k**4 Expand -2*r**5 + 4*r**5 - r**5 + (3 - 3 - 1)*(-8*r**3 - 8*r**5 + 6*r**3 + 12*r**5). -3*r**5 + 2*r**3 Expand -2 + 2*o**4 + 1 + 0*o**4 + (5 + 9*o**2 - 5)*(3 - 3 + 2*o**2). 20*o**4 - 1 Expand (23 + 23*d + 41 - 26*d)*(d - d - 4*d). 12*d**2 - 256*d Expand (10 - 9 - 4)*((3 - i**3 - 3)*(-i - 3*i + 3*i) + (-2*i**4 - 5*i**4 + 5*i**4)*(3 + 3 - 8)). -15*i**4 Expand (2*a**3 - 11117*a + 11117*a)*(-10 + 2*a + 10)*(2 + 4 - 5). 4*a**4 Expand ((2*o**2 + 0*o**2 + 0*o**2)*(-o - 2*o + o) + 38*o**3 + 83*o**3 - 95*o**3)*(2*o**2 + 0*o + 0*o). 44*o**5 Expand (-1 - 1 + 1)*(-d**3 - d**3 - 2*d**3) - 3*d**3 + 0*d**3 + 4*d**3 + 4*d**3 - 4*d**2 + 4*d**2. 9*d**3 Expand -11*j + 8*j - 6*j + (-j - 2*j + 4*j)*(2 - 8 + 3). -12*j Expand (-51*r**5 + 408*r**4 - 408*r**4)*(-1 + 0 + 0)*(3 - 4 - 5)*((5 - 5 + 2)*(-4 - 1 + 3) + 1 + 0 - 2). 1530*r**5 Expand (6*y - 3*y + y)*(4*y - 11*y + 0*y) + (2*y**2 + y**2 - 2*y**2)*(-5 + 1 + 2). -30*y**2 Expand (35 - 2 + 40)*(3 - 3 + 2)*(-8 + 8 + 5*w). 730*w Expand (5*h**2 + 4*h**2 - 5*h**2 - h**2 + h**2 + 2*h**2 + (h**2 + 0 + 0)*(-4 + 2 + 1))*(3 - 4 + 2 + (4 - 5 + 3)*(2 + 1 - 5)). -15*h**2 Expand -j + 0*j + 2*j + (-3*j + j + 0*j)*(0 - 3 + 1) - j + 0*j + 2*j + 3*j + j - 2*j - j + 2*j + j + 473*j - 44846 + 44846. 483*j Expand (-222 - 6*b**2 + 222)*((-2*b + 0*b + b)*(2 + 1 - 2) + (-5 + 3 + 0)*(b - 3*b + 0*b)). -18*b**3 Expand (-5 + 0 + 3)*(-14 + 117 - 65)*(20*g - 3*g + 21*g + 13*g). -3876*g Expand -61*h**5 + 70*h**5 - 147*h**5 - 3*h**5 + 0*h**5 + 5*h**5 + (0*h - h + 0*h)*(4*h**4 - 6*h**4 + 3*h**4) - 1 + h**5 + 1. -136*h**5 Expand (-19*j - 3*j**2 + 7962 + 6*j**2 - 7966)*(1 + 0 + 1). 6*j**2 - 38*j - 8 Expand ((h - 4*h + 5*h)*(-3 + 2*h + 3) + 2*h**2 - 4*h + 4*h + (2 - 3 + 2)*(5*h**2 - 2*h**2 - h**2))*(-h + 5 - 3 + 3). -8*h**3 + 40*h**2 Expand j**4 - 3*j**4 + j**4 + (-185 + 185 - 89*j)*(2*j**3 - 3*j**3 + 3*j**3). -179*j**4 Expand (-1 - 4 + 2)*(0*b + 2*b + 0*b) + 6 - 6 + 31*b. 25*b Expand (3 + 0 - 1)*(29*r**4 + 29*r**4 - 40*r**4) + 1 - 1 - 2*r**4. 34*r**4 Expand (-2 + 4 - 1)*(27 - 2*q - 2*q - 12). -4*q + 15 Expand (-l + 0 + 0)*(3*l**3 - 2*l**3 + 0*l**3) + 1712*l**3 - 384*l**4 - 1712*l**3. -385*l**4 Expand (-1 + 1 + 2*a)*(6*a - 2*a - 2*a) - 444*a**2 + 885*a**2 + 4*a - 443*a**2 + (-1 + 1 + 2*a)*(1 + 2*a - 1) - 3*a**2 + 0*a**2 + 2*a**2. 5*a**2 + 4*a Expand (31*x**2 + 24*x**2 - 7*x**2 + (-2 + 2 + x)*(-4*x - 4*x + 6*x) + x - x - x**2)*(4*x + 0*x - 6*x). -90*x**3 Expand (-2 + 1 - 7)*(-2*z**2 + 1 - 1) - z + z + 2*z**2 + (2*z + z + 3*z)*(2*z - 4*z + 0*z). 6*z**2 Expand m**3 - 2*m**3 + 6*m**3 + (-2*m + 2*m - m**2)*(4*m - m - 5*m) + (-22*m + 6*m - 24*m)*(6*m**2 - m**2 - 3*m**2). -73*m**3 Expand (0*c - c**2 + 0*c - c)*(c - 7*c - 13*c)*(-4 + 5 + 8). 171*c**3 + 171*c**2 Expand (-1465 - 31*z + 1465)*(2*z + 2*z - 2*z). -62*z**2 Expand (2 + 0 - 4)*(-2 - 21 + 3)*(3 - 3 + 2*n)*(0*n - 2*n + 0*n). -160*n**2 Expand (-1 - 1 - 1)*(-2 + 2 - 1)*(0 - 2 - 3)*(11*q**5 + 46 - 46). -165*q**5 Expand (4*a + 0*a - 5*a)*(3*a - 3*a + a + (-2 + 2 - a)*(1 + 1 + 0))*(5*a + 9*a**2 - 5*a) + 31*a**4 - 12*a**4 - 16*a**4. 12*a**4 Expand (0 + 2*i + 0)*(38 - 140 + 59) + 2*i + 0*i - 3*i + (-i - 1 + 1)*(2 - 1 + 1). -89*i Expand (2*u + 4 - 4)*(4*u - 4*u + u**2)*(u + 48*u + u). 100*u**4 Expand (-
{ "pile_set_name": "DM Mathematics" }
ple of 11 and 11? 11 Calculate the common denominator of -43/2202 and 73/16. 17616 What is the common denominator of 151/924 and -58/21? 924 Find the common denominator of -47/50 and -51/110. 550 Find the common denominator of 53/30 and 31/519. 5190 What is the lowest common multiple of 1 and 272? 272 What is the lowest common multiple of 7 and 736? 5152 Calculate the common denominator of -7/5 and 29/7. 35 What is the smallest common multiple of 546 and 390? 2730 Calculate the common denominator of -75/14 and 107/44. 308 Calculate the common denominator of -55/576 and 13/256. 2304 Calculate the common denominator of -23/3 and 37/73. 219 Find the common denominator of 83/16 and 61/1810. 14480 What is the common denominator of 11/13 and 29/104? 104 What is the lowest common multiple of 36 and 6990? 41940 What is the smallest common multiple of 202 and 11? 2222 Calculate the common denominator of -127/6 and -38/6303. 12606 What is the common denominator of 67/442 and 43/92? 20332 Calculate the common denominator of -61/76 and -13/4. 76 Find the common denominator of -65/66 and 1/11. 66 Calculate the smallest common multiple of 114 and 3. 114 Find the common denominator of -5/448 and -59/1120. 2240 What is the lowest common multiple of 51 and 1? 51 Calculate the common denominator of 27/1568 and -47/7. 1568 What is the common denominator of 151/24 and 145/24? 24 Calculate the smallest common multiple of 5 and 5870. 5870 Calculate the least common multiple of 217 and 42. 1302 Calculate the common denominator of 61/2254 and 51/20. 22540 Find the common denominator of 7/468 and 83/480. 18720 Find the common denominator of -43/234 and -13/48. 1872 What is the common denominator of 47/38 and 63/160? 3040 What is the common denominator of 5/219 and -3/1168? 3504 Find the common denominator of -49/5994 and -79/148. 11988 Calculate the common denominator of -5/52 and 125/156. 156 Calculate the common denominator of -57/91 and 36/91. 91 Calculate the common denominator of -59/91 and 16/1617. 21021 What is the least common multiple of 20 and 15634? 156340 Find the common denominator of -155/156 and -13/396. 5148 Calculate the common denominator of 8/51 and -17/177. 3009 What is the lowest common multiple of 72 and 120? 360 Calculate the least common multiple of 6880 and 688. 6880 Find the common denominator of 2/35 and -24/1141. 5705 What is the common denominator of 33/20 and 139/140? 140 Calculate the common denominator of 155/8418 and -133/66. 92598 Calculate the lowest common multiple of 236 and 1062. 2124 What is the least common multiple of 302 and 8? 1208 Calculate the lowest common multiple of 255 and 255. 255 What is the least common multiple of 88 and 80? 880 Find the common denominator of -113/228 and -35/418. 2508 Calculate the lowest common multiple of 13 and 65. 65 Calculate the common denominator of -39/8 and -3/370. 1480 Find the common denominator of -13/1320 and 193/660. 1320 Find the common denominator of 121/120 and -29/96. 480 What is the common denominator of -65/28 and 139/12? 84 What is the lowest common multiple of 115 and 150? 3450 Calculate the common denominator of -13/70 and 83/110. 770 What is the least common multiple of 375 and 375? 375 Find the common denominator of 28/783 and -83/1305. 3915 What is the common denominator of -121/920 and 151/276? 2760 Find the common denominator of -71/54582 and 83/20. 545820 What is the common denominator of 43/78 and 29/14? 546 What is the smallest common multiple of 5 and 151? 755 What is the common denominator of -7/64 and 111/40? 320 Calculate the least common multiple of 18 and 513. 1026 What is the common denominator of -117/70 and -119/50? 350 What is the lowest common multiple of 102 and 376? 19176 What is the common denominator of 73/21717 and -12/11? 238887 What is the lowest common multiple of 30 and 3? 30 Calculate the common denominator of 16/153 and -83/1938. 5814 Calculate the common denominator of 157/84 and 17. 84 What is the common denominator of 17/22 and -75/1352? 14872 What is the smallest common multiple of 216 and 108? 216 What is the common denominator of 74/81 and 29/45? 405 What is the lowest common multiple of 2998 and 8? 11992 What is the smallest common multiple of 25 and 9? 225 Calculate the smallest common multiple of 442 and 272. 3536 Calculate the common denominator of 121/12 and 85/4. 12 What is the smallest common multiple of 22 and 1112? 12232 What is the smallest common multiple of 162 and 60? 1620 Calculate the common denominator of 65/33 and -65/1857. 20427 Find the common denominator of 27/8 and 33/2438. 9752 What is the common denominator of 17 and 5/72? 72 Calculate the least common multiple of 5244 and 3496. 10488 What is the least common multiple of 784 and 28? 784 Calculate the common denominator of -19/1782 and 133/18. 1782 Find the common denominator of -57/14 and 53/63. 126 Calculate the least common multiple of 126 and 12. 252 Calculate the lowest common multiple of 288 and 32. 288 What is the common denominator of 11/18 and -53/19? 342 Calculate the common denominator of 113/420 and -19/60. 420 What is the common denominator of -67/112 and -15/154? 1232 Calculate the common denominator of 73/32 and 51/2246. 35936 Calculate the common denominator of -25/184 and 119/200. 4600 What is the smallest common multiple of 1300 and 650? 1300 What is the common denominator of -61/12 and 109/168? 168 Calculate the common denominator of 7/6 and -101/1900. 5700 What is the common denominator of -11/36 and 47/75? 900 Find the common denominator of 88/15 and -33/20. 60 What is the common denominator of -61/242 and -103/352? 3872 What is the lowest common multiple of 1074 and 22? 11814 What is the common denominator of -119/160 and -107/60? 480 Calculate the common denominator of 41/240 and -21/160. 480 Find the common denominator of -3/88 and 13/34. 1496 What is the least common multiple of 92 and 4? 92 What is the common denominator of -29/1038 and 39/16? 8304 What is the lowest common multiple of 25 and 5? 25 Calculate the common denominator of -41/27 and -14/417. 3753 Calculate the smallest common multiple of 4150 and 200. 16600 What is the lowest common multiple of 63 and 72? 504 Find the common denominator of -89/28 and -83/56. 56 What is the common denominator of 29/80 and 25/72? 720 Calculate the common denominator of -88/441 and -107/10. 4410 Find the common denominator of 115/192 and 103/160. 960 Find the common denominator of -38/55 and -1/115. 1265 Calculate the common denominator of 47/2503 and 20/9. 22527 What is the lowest common multiple of 538 and 1? 538 Calculate the least common multiple of 20 and 856. 4280 What is the lowest common multiple of 882 and 6909? 41454 What is the common denominator of -20/39 and -31/33? 429 What is the common denominator of 143/24 and -137/372? 744 Find the common denominator of -81/6898 and -17/20. 68980 What is the common denominator of 47/110 and 69/55? 110 Calculate the lowest common multiple of 24 and 27. 216 What is the common denominator of -97/52 and -51/5? 260 What is the smallest common multiple of 30 and 4116? 20580 What is the common denominator of 7/13 and 87/46? 598 What is the common denominator of 27/16 and 32/345? 5520 What is the lowest common multiple of 74 and 3404? 3404 Calculate the common denominator of 52/15 and -41/5385. 5385 What is the lowest common multiple of 20 and 1332? 6660 What is the least common multiple of 1800 and 456? 34200 Find the common denominator of -73/96 and -5/5376. 5376 Calculate the lowest common multiple of 36 and 164. 1476 Calculate the lowest common multiple of 88 and 41. 3608 What is the least common multiple of 320 and 20? 320 Find the common denominator of -58/9 and 145/6. 18 What is the smallest common multiple of 870 and 609? 6090 Calculate the least common multiple of 1104 and 72. 3312 Calculate the common denominator of 151/150 and 133/90. 450 What is the common denominator of -139/30 and -53/102? 510 Find the common denominator of -101/436 and -91/16. 1744 What is the common denominator of 107/34 and 97/52? 884 Calculate the common denominator of 77/8 and 1/222. 888 What is the common denominator of 113/744 and -35/11? 8184 What is the common den
{ "pile_set_name": "DM Mathematics" }
4*g = -3*g + 2*w + 12. Calculate the common denominator of 57/2 and g/(-21) - 1314/(-56). 4 Suppose -18 = -w + 3*y, 4*w = -2*y - 13 + 113. Suppose 0 = 2*s - 3*s + 1, -z - 3*s = -w. Calculate the common denominator of -113/12 and (z/(-14))/(10/33). 60 Let d = 20941/10 + -2103. What is the common denominator of d and (-3)/4*(-141)/18? 40 Let k be 1*(-2 - 0) - 200. Calculate the common denominator of -50/9 and 6/(-20)*k/6. 90 Find the common denominator of (2/(-27))/(8/(-330)) and -103/20. 180 Let k(l) = -l**3 + 3*l**2 + 5*l + 2. Let a be k(4). Let h(p) = p**2 - 5*p - 2. What is the smallest common multiple of h(a) and 14? 28 Let s = 87 + -607/7. Let g = -27 + 17. Find the common denominator of s and (-39)/(-9)*6/g. 35 Let p be (-2)/6 - 16/(-12). Let o = 7 + 3. Calculate the lowest common multiple of (5/10)/(p/44) and o. 110 Let r(z) = z**2 - 5*z + 8. Let o be r(6). Suppose 0 = 2*t + y - o, -4*t + 24 = 4*y - 0*y. Calculate the smallest common multiple of t and 6. 24 Let z(o) = o**3 + 7*o**2 - 2*o + 4. Suppose 4*n = 14 + 2. Suppose -w + n = -0*w. Calculate the least common multiple of w and z(-7). 36 Suppose k - 11 = -3*b, 0 = 2*k + 1 + 1. Calculate the lowest common multiple of b and (-3)/5 + 144/15. 36 Let p be ((-16)/(-120))/(1/(-10)). Let k = -17 - p. What is the common denominator of k and 6/5? 15 Let t be (-14412)/15*2/4. Let o = 52419/110 + t. What is the common denominator of -33/14 and o? 154 Suppose -5*c + 4*j = -0*c - 49, -2*c - 4*j + 14 = 0. Calculate the smallest common multiple of c and 2. 18 Let j be (-17)/(-6) + (-4)/(-24). Suppose 0 = 2*h + w + 931, j*h - 5*w = -h - 1897. What is the common denominator of (-1502)/h - (-2)/(-13) and 63/10? 90 Suppose 0*k = 4*k - 8. Suppose 0 = 3*s + 5*f - 51, -3*s = -0*s - 4*f - 78. Calculate the smallest common multiple of s and k. 22 Let g = 72 + -51. Suppose u - 4*x - 10 - g = 0, 67 = u + 5*x. Find the common denominator of (11/(-10))/(4/(-15)) and u. 8 Suppose t + 5*w - 42 = -2*t, -2*t - 4*w = -30. Let p(d) = -d**2 + 11*d - 13. Calculate the smallest common multiple of p(t) and 11. 55 Let l = 8 + -4. Calculate the smallest common multiple of 5 and l. 20 Let w(c) = -c**2 - 8*c + 9. Calculate the smallest common multiple of w(-7) and 8. 16 Suppose -16*a - 35 = -15*a. What is the common denominator of -2 + 1 + 182/a and 100/(-33) - 1/3? 55 Suppose 3*f = -10 + 34. What is the smallest common multiple of f and 8? 8 Suppose 0 = -f - 2*f. Find the common denominator of 103/18 and (-62)/(-36) - (f + 2). 18 Let l(m) = 23*m - 12. Let z be l(9). Let i be 4/(1/(z/(-6))). Let x = 237/2 + i. Calculate the common denominator of -21/8 and x. 8 Let l = 13 - 18. Let d be 3 + -1 + (l - -1). Find the common denominator of 26/7 and 59/d - (-6)/3. 14 Let o(q) = -2*q - q**3 + 8*q**3 + 3*q + 2*q**3. What is the least common multiple of o(1) and 2? 10 Suppose -4*j + 388 - 88 = 0. Suppose r + j = 4*r. Suppose -5*x + r = 0, 3*d - 26 = 2*d - 3*x. Calculate the lowest common multiple of d and 9. 99 Let p = 510713 - 15322787/30. Let g = p + 568/15. What is the common denominator of -9/7 and g? 70 Suppose -12*y = -11*y - 8. Calculate the common denominator of 41/4 and y. 4 Suppose -5*w = 3*i + 4, 9*w - 4*w + 8 = -i. Let s = 7 + w. Calculate the smallest common multiple of s and 5. 5 Suppose 5*w + o - 9577 = 4*o, 3*w - 4*o - 5744 = 0. Let b = w - 3735/2. Find the common denominator of -89/2 and b. 2 Let t(y) = -y**2 - 4*y + 7. Let r be t(-5). Suppose -3*b + 48 = r*j, -4*j + 7*j = 2*b - 45. Calculate the lowest common multiple of b and 2. 18 Let x be 0 + (-1)/(1/(-2)). Suppose 12 = v + x*v. Suppose 3*u - 1 = -5*w, -2*u = -0*u - v*w - 8. What is the smallest common multiple of 2 and u? 2 Let z = 1 - -8. Calculate the common denominator of 17/4 and 3/6*(-21)/z. 12 Find the common denominator of 83/6 and 18/(-63) - 218/(-126). 18 Let p = -17639/3740 + -25/187. Find the common denominator of (3/6)/((-7)/61) and p. 140 Let l = -45259/18 + 2513. Let m be 6/4*(-4)/(-3). What is the common denominator of (m/8)/(20/264) and l? 90 Suppose -4*j + 9373063 = z, 0*j - 2*j - 3*z = -4686539. Let t = -681892240/291 + j. Let a = 3/97 - t. What is the common denominator of 33/8 and a? 24 Let n = 3 - 0. Suppose 3*h - 33 = -3*a - n, 42 = 4*h + 5*a. What is the lowest common multiple of 12 and h? 24 Suppose 0*v + 54 = 6*v. What is the smallest common multiple of v and 6? 18 Let s = -32 - -64. Suppose s = 3*z + 2*u, 0 = 4*u + u - 20. Calculate the smallest common multiple of 9 and z. 72 Let q(p) = -p - 9. Let b be q(12). What is the least common multiple of (2 - b) + (-1 - 2) and 36? 180 Suppose g = 2*r - 46, 0*g + g + 46 = r. Calculate the common denominator of (-98)/(-44) + (-6)/(-3) and ((-3)/(-22))/((-6)/g). 22 Let v(l) = -5*l - 3. Suppose 0*w = 4*p - 3*w - 92, w - 4 = 0. Let r = -4 + p. Calculate the smallest common multiple of r and v(-3). 132 Calculate the least common multiple of 38 - (2 + (-2 - -5)) and 27. 297 Let l = -183707/21 - -8746. What is the common denominator of l and -71/9? 63 Let p be (-1 - 3/(-15))*10. What is the smallest common multiple of (30/24)/((-1)/p) and 7? 70 Let l(h) be the first derivative of h**3/3 - h**2 - 3. Calculate the lowest common multiple of l(4) and 9. 72 Let m = -21 + 69. Let z = -33 + m. Find the common denominator of z and -44/13. 13 Suppose 15 = 12*y - 9. What is the lowest common multiple of y and 8? 8 Let l(n) = n**2 - 9*n + 1. Let i be l(9). Let m = i + 0. Calculate the smallest common multiple of 10 and m. 10 Let z = -2198 - -8877/4. Calculate the common denominator of z and 41/6. 12 Let y be (-54)/(-15) - (-4)/10. Suppose 78 = -y*s + 246. Suppose 5*n - 2*n = -t + 30, -2*t + s = 4*n. What is the smallest common multiple of 8 and n? 72 Let i = 45 - 38. Calculate the lowest common multiple of 1 and i. 7 Let v be (-572275)/462 + (-2)/(-6). Let h = v - -1237. What is the common denominator of h and 55/12? 84 Suppose r = -3*r + 4*p + 16, 4*r = -2*p + 10. Let g be -2 - (-2 + r - -10). Let t = -3 - g. What is the lowest common multiple of t and 3? 30 Calculate the common denominator of -4*((-2)/(-3))/(340/(-285)) and 97/6. 102 Let p = -53/15 - -1081/30. Calculate the common denominator of 11/5 + 3 - (-2)/4 and p. 10 Suppose 4*z - 14 = 374. Suppose -5*u + z = -0*u + w, w = -3. Calculate the least common multiple of 12 and u. 60 Let u = -5 - 10. Let m = 35 + u. Calculate the lowest common multiple of 6 and m. 60 Let v = -475/17 - -28. What is the common denominator of -81/2 and v? 34 Let r be 137/11*(-380)/8. Let s = r - -591. Find the common denominator of s and -51/4. 44 Let b be 10 - 2 - 1/(-1). Let h = b + -2. What is the common denominator of 2 + 8/(-6) + h and 18/7? 21 Let i be (-1533)/6777 - 2/(-9). Let r be (-2)/(-12) - (-51682)/6024. Let g = r - i. Calculate the common denominator of g and -85/6. 12 Suppose -2*h - 1 + 9 = 0. Calculate the smallest common multiple of 1/(-3) + 10/3 and h. 12 Let q = -131/2 - -1343/22. Find the common denominator of 26/11 and q. 11 Find the common denominator of 47/20 and ((-12)/(-18))/((-12)/(-83)). 180 Let u = -7 + 1. Let l = u - -13. Suppose 4*y - 3*y - 11 = -b, 0 = -2*b - 5*y + l. Calculate the smallest common multiple of b and 12. 48 Suppose 3*g + 4 = -3*h + 5*h, 44 = 5*h + g. What is the common denominator of (-38)/h + (4 - 4) and 3/11? 44 Suppose p + 3*p = z + 11, -10 = -4*p + 2*z. Let g = 0 - p. Calculate the common denominator of -29/14 and g/(-2 + (-66)/(-45)). 56 Let m(h) = -3*h**2 - 18*h + 11. Let i(n) = -n**2 - 6*n + 4. Let u(w) = 11*i(w) - 4*m(w). What is the lowest common multiple of u(-7) and 6? 42 Let y = -803/2 - -394. Let k = -2263/10 - -903/4. Find the common denominator of y and k. 20 Let h be (6/(-8))/(12372/(-32)). Let q = -85569/2062 - h. Calculate the common denominator of q and -33/8. 8 Suppose 9 = -3*w - 0*w. Find the common denominator of 41/11 and 25/(-7) - (4 + w). 77 Let r = 13880/11 - 1263. Suppose 99 = 15*g - 6*g. Calculate the common denominator of g and r. 11 Let h(o) = -o + 3. Let y = -6 + 0. Calculate the lowest common multiple of h(y) and 6. 18 Let q = 10 - 11. What is the common denominator of (-8)/3*5/20 and (-141)/30 + 3*q? 30 Let y = -8 - -11. Suppose 4*i - 6*r = -r + 35, i = y*r + 14. What is the least common multiple of
{ "pile_set_name": "DM Mathematics" }
k) wrt k. 600*k What is the derivative of 423434*n - 628 - 423434*n + 2174*n**2 wrt n? 4348*n Let t(q) = q**3 + 31*q**2 + 26*q - 31. Let u be t(-30). What is the first derivative of 0*x**3 - 182 - 69 + u*x**4 + x**3 - 123*x**4 wrt x? -136*x**3 + 3*x**2 Let m(h) = 6*h + 44. Let k be m(-7). Find the second derivative of -59*q - 3*q**k + 152*q + 27*q**2 wrt q. 48 Let o(w) = w**2 - 7*w - 4. Let x be o(8). Suppose -5*h + 6 = -2*b, 0 = b + b - 4*h + x. Find the second derivative of 2 - 250*q**b - 2 + 221*q**2 - 23*q wrt q. -58 Let z(k) be the second derivative of 2*k**7/21 - 7*k**5/2 - k**3/3 + 551*k**2/2 - 3*k - 1503. Find the second derivative of z(s) wrt s. 80*s**3 - 420*s Let c(q) = -741*q + 1127. Let h(z) = -14080*z + 21424. Let s(x) = 56*c(x) - 3*h(x). Differentiate s(k) with respect to k. 744 Let v(n) = 341*n**4 - 15*n**3 - 4711*n + 7. Let u(o) = -171*o**4 + 8*o**3 + 2356*o - 4. Let z(m) = 7*u(m) + 4*v(m). Find the second derivative of z(g) wrt g. 2004*g**2 - 24*g Let l(x) = -x**2 + 9*x + 38. Let u be l(12). What is the second derivative of -840*j**4 + 654*j**4 + 12*j + u + 1 wrt j? -2232*j**2 Let r be (80/64)/(1/4)*-9. Let c = r + 79. What is the first derivative of -27 + 87*y**2 + c*y**4 - 87*y**2 wrt y? 136*y**3 Find the second derivative of 2*v**4 - 6*v**4 + 4*v**2 + 18269*v**3 - 18280*v**3 + 277*v - 16 wrt v. -48*v**2 - 66*v + 8 Let j(b) be the second derivative of 1253*b**6/30 - 274*b**2 - b + 269. What is the first derivative of j(r) wrt r? 5012*r**3 Let q(k) = -4*k + 9. Let m(z) = -820*z + 2706. Let u(f) = m(f) - 3*q(f). Find the first derivative of u(p) wrt p. -808 Suppose 0 = 4*j - 2*w - 2, -21*j + 5*w - 10 = -16*j. Find the third derivative of 4*p**5 + 3*p**j + 140*p**2 - 8*p**5 + p**3 - 134*p**2 wrt p. -240*p**2 + 24 Let m(j) = j**3 + 10*j**2 + 12*j - 9. Let d be m(-8). Let v = d + -9. Find the second derivative of -5*p**3 + 9*p + 9*p - v*p**3 wrt p. -114*p Let l = -431 - -633. What is the first derivative of -71 + l - 84 + 113*x**2 wrt x? 226*x Let h(z) be the third derivative of 0*z**3 - 1 + 61/8*z**4 + 0*z**5 + 0*z + 173/210*z**7 + 0*z**6 + 107*z**2. What is the second derivative of h(y) wrt y? 2076*y**2 Let o be (-4)/(-6) + 1020/306. Let j(z) be the first derivative of -13/4*z**o - 7 + 0*z**2 + 0*z**3 + 7*z. What is the derivative of j(d) wrt d? -39*d**2 What is the derivative of 131232*a - 2543*a**2 - 131232*a + 2379 wrt a? -5086*a Let f(m) = -1422*m**3 - 3*m**2 - 4*m + 99. Let r(u) = -1421*u**3 - 3*u + 100. Let h(q) = 3*f(q) - 4*r(q). What is the third derivative of h(w) wrt w? 8508 Let p(j) = 3514*j**2 - 51*j - 2090. Let q(a) = 5859*a**2 - 87*a - 3483. Let x(f) = -12*p(f) + 7*q(f). Find the first derivative of x(u) wrt u. -2310*u + 3 Let l(a) = 5*a**4 + 1829*a**3 - 3860. Let i(v) = 9*v**4 + 3658*v**3 - 7716. Let c(m) = -3*i(m) + 5*l(m). Differentiate c(z) wrt z. -8*z**3 - 5487*z**2 Differentiate -26*p + 748 + 7*p**2 + 157*p**3 + 835 + 26*p - 217*p**3 wrt p. -180*p**2 + 14*p Let p = 14448 + -14446. Let f(c) be the second derivative of -25/6*c**3 + 3/10*c**5 - 15*c + 0 + 0*c**p + 0*c**4. Find the second derivative of f(d) wrt d. 36*d Let o(x) be the second derivative of x**5/10 - 1073*x**3/6 - 955*x**2 + 895*x. Differentiate o(s) wrt s. 6*s**2 - 1073 Let l(b) = -16*b**3 + 13*b**2 - 168*b. Let w(i) = i**3 - 3*i. Let k(h) = l(h) + 2*w(h). What is the second derivative of k(u) wrt u? -84*u + 26 Let l be ((-9)/(-6))/((-3)/8). Let x(p) = p**2 + p. Let o(z) = 32*z**5 + 4*z**2 + 6*z - 3. Let c(u) = l*x(u) + o(u). Find the second derivative of c(f) wrt f. 640*f**3 Let s(b) be the first derivative of -134*b**5 + b**4/4 - b**3 - 3*b**2 + 6*b + 999. What is the second derivative of s(j) wrt j? -8040*j**2 + 6*j - 6 Let p(l) be the third derivative of 172*l**5/5 - 281*l**4/8 - 402*l**2. Find the second derivative of p(r) wrt r. 4128 Let z be ((-180)/80 + 6/(-8))/(-1). What is the second derivative of 10*k + 25*k**3 + 30*k**3 - 1 + k**3 + 43*k**z wrt k? 594*k Suppose -34*b + 3528 = 38*b. What is the second derivative of 40820*l**3 + 4 + b - 2*l - 40668*l**3 wrt l? 912*l Let b(s) = -3871*s**3 + 283. Let j(h) = -1935*h**3 + 133. Let m(c) = 3*b(c) - 7*j(c). Find the first derivative of m(f) wrt f. 5796*f**2 Let l(d) be the third derivative of 0*d - 15/56*d**8 + 0*d**3 + 1/5*d**5 + 0*d**6 + 0 - 29*d**2 + 0*d**7 + 0*d**4. What is the third derivative of l(g) wrt g? -5400*g**2 Let o(g) = 50*g**2 + 67*g. Let a(m) = m**2. Let l(p) = 13*p - 108. Let i be l(8). Let z(t) = i*a(t) - o(t). Find the second derivative of z(h) wrt h. -108 Let o(y) = -1395*y**2 + 15*y + 7. Let k(t) = -4*t**2 - 3. Let z(b) = -2*k(b) + o(b). Find the second derivative of z(n) wrt n. -2774 Let r(z) = 2*z**3 + z**2 + 2*z - 1. Suppose 10*h + 2*h = 12. Let v be r(h). What is the second derivative of 18*p - 73*p - 7*p**v + 11*p wrt p? -84*p**2 What is the first derivative of -30*l**2 - 491*l**3 + 3*l**3 + 50*l**2 - 54 - 20*l**2 wrt l? -1464*l**2 What is the third derivative of -8*n**6 - 102 - 52 + 208*n**2 - 215*n**2 - 14*n**5 - n**6 wrt n? -1080*n**3 - 840*n**2 What is the derivative of 947*g**2 + 1648*g**2 + 490*g**2 - 2664 - 127 + 839*g**2 wrt g? 7848*g Let b(d) = 3011*d + 4108. Let j(t) = -t + 20. Let n(l) = -b(l) + 6*j(l). Find the first derivative of n(y) wrt y. -3017 Let t(u) be the first derivative of 2103*u**4/4 + 21*u**2/2 - 44*u + 2501. What is the second derivative of t(y) wrt y? 12618*y Let u(t) = -46*t**3 + 6*t - 28. Let y(d) = 13*d - 108*d**3 + 13*d**3 - 90 + 33 + 2*d**3. Let b(a) = 13*u(a) - 6*y(a). Differentiate b(w) wrt w. -120*w**2 Suppose -5*a + 808 + 471 = k, 5*a = 5*k + 1255. Find the second derivative of -t**2 + 180*t + t**2 + 228*t**4 - a*t wrt t. 2736*t**2 Let u(s) be the first derivative of 0*s + 27 - 2*s**2 - 71/4*s**4 - 7/3*s**3. What is the third derivative of u(y) wrt y? -426 Let l(v) = 3*v - 11. Let w be l(5). Suppose -81 = -3*d + w*c, -2*c = -4*d - c + 108. What is the second derivative of 5*i - d*i**4 + 6*i**5 + 27*i**4 wrt i? 120*i**3 Let s(t) be the third derivative of t**2 + 0*t**4 - 2*t**3 + 0*t**6 + 0*t**5 + 0 + 26/105*t**7 - 6*t. Differentiate s(y) wrt y. 208*y**3 Suppose -w - 16 = -5*d, 2*d - w = -9 + 13. Differentiate -124*r**4 + 5*r**d + 34 + 111 - 12 with respect to r. -476*r**3 Let a = 39 + -39. Suppose -4*u = 5*z - 12, 3*u - z - 15 + 6 = a. Find the first derivative of -2 + 10 - 1 + 15*m**u wrt m. 45*m**2 Let c(r) be the third derivative of 31/6*r**4 + 0*r**3 - 97/210*r**7 + 0*r**5 + 0*r + 0 + 0*r**6 - 89*r**2. What is the second derivative of c(y) wrt y? -1164*y**2 Let o(v) be the second derivative of 3657*v**5/20 - 99*v**3/2 - 9*v**2/2 - v + 180. What is the second derivative of o(p) wrt p? 21942*p Let i be (-2 + 5)*2 - 1. Suppose 3*s = 2*a - 8 - 35, 5*s = 2*a - 49. Find the third derivative of 7 - 28*u**2 - 7 - 21*u**i - a*u**2 wrt u. -1260*u**2 Suppose 4*b + 4*m - 28 = 0, 0 = 2*b + 3*m - 2 - 16. Let r be (b + -17)*2/(-4). What is the second derivative of 0*t - t + 4*t**3 - r*t**3 wrt t? -18*t Let d(r) = -8823*r**4 - 140*r**2 + 9428*r. Let h(c) = -c**4 + 14*c**2 + 2*c. Let a(q) = -d(q) - 10*h(q). What is the second derivative of a(o) wrt o? 105996*o**2 Suppose 2*v + 7 = n - 1, -4*n - 4*v + 20 = 0. Suppose 0 = -x - n*x + 42. What is the third derivative of 9*m**6 - 7*m**x - 4*m**6 - 3*m**2 wrt m? -240*m**3 Let m(c) be the second derivative of 82 + 281/12*c**4 + 92/3*c**3 + 0*c**2 + c. Find the second derivative of m(b) wrt b. 562 What is the second derivative of 993*l**2 - 871*l**2 - 2569*l**2 + 310*l - 408*l - 29 - 2340*l**2 wrt l? -9574 Let l(h) = h**2 - 20*h + 3. Let m(r) be the second derivative of -11*r**3/6 + r**2 - 4*r + 3. Let p(y) = 2*l(y) - 5*m(y). Differentiate p(q) with respect to q. 4*q + 15 Let v(l) be the first derivative of 6277*l**6/6 + l**2 - 356*l + 1811. What is the second derivative of v(i) wrt i? 125540*i**3 Let m(l) be the third derivative of -619*l**5/30 + 1114*l**3/3 + 841*l**2. Differentiate m(i) with respect to i. -2476*i Suppose 5*q - 3*x - 5 = 2*x, 4*q = 3*x - 1. Let m be ((-72)/30)/((-3)/((-30)/q)). Find the third derivative of 69*u**6 + 15*u**2 - 54*u**m - 4*u**2 wrt u. 1800*u**3 Suppose -6*u - 688 = -10*u. Find the second derivative of 19*t - 100*t**2 + u*t**2 + 19*t wrt t. 144 Let r(m) = -m**3 -
{ "pile_set_name": "DM Mathematics" }
Does 69 divide 13524? True Is 250 a multiple of 5? True Is 20380 a multiple of 49? False Does 146 divide 12538? False Is 2049 a multiple of 89? False Is 4396 a multiple of 4? True Is 43428 a multiple of 154? True Is 585 a multiple of 39? True Is 114 a factor of 16074? True Does 38 divide 9543? False Is 25 a factor of 1100? True Is 132 a factor of 10632? False Does 13 divide 32229? False Is 720 a multiple of 9? True Does 86 divide 1376? True Is 10 a factor of 4673? False Is 1747 a multiple of 43? False Is 1170 a multiple of 15? True Is 38 a factor of 5966? True Is 7 a factor of 700? True Is 22 a factor of 7710? False Is 470 a multiple of 27? False Is 192 a factor of 24576? True Is 941 a multiple of 36? False Is 139 a factor of 139? True Does 92 divide 2944? True Is 3999 a multiple of 129? True Is 33315 a multiple of 233? False Is 9438 a multiple of 11? True Is 47 a factor of 1152? False Is 3 a factor of 244? False Is 33 a factor of 23074? False Is 166 a factor of 27224? True Does 19 divide 2729? False Is 52 a multiple of 3? False Is 13961 a multiple of 11? False Is 38 a factor of 304? True Is 2170 a multiple of 62? True Is 6440 a multiple of 115? True Is 104826 a multiple of 353? False Is 780 a multiple of 5? True Is 1576 a multiple of 17? False Is 621 a multiple of 23? True Is 26 a multiple of 5? False Does 51 divide 1931? False Does 9 divide 234? True Does 50 divide 3674? False Is 191 a factor of 19673? True Is 392 a multiple of 10? False Is 12 a factor of 80061? False Is 380 a multiple of 95? True Does 32 divide 8467? False Is 4391 a multiple of 157? False Does 15 divide 373? False Is 135 a factor of 6885? True Does 4 divide 3924? True Does 110 divide 11880? True Is 288 a multiple of 4? True Does 4 divide 185? False Is 396 a multiple of 34? False Is 4 a factor of 528? True Does 59 divide 118? True Is 485 a multiple of 209? False Is 3 a factor of 306? True Is 19 a factor of 209? True Is 16500 a multiple of 60? True Is 808 a multiple of 16? False Does 33 divide 34063? False Is 9 a factor of 9079? False Is 23516 a multiple of 39? False Is 1089 a multiple of 27? False Does 12 divide 659? False Does 38 divide 722? True Does 56 divide 29829? False Does 12 divide 1609? False Is 3 a factor of 479? False Is 448 a multiple of 16? True Is 701 a multiple of 8? False Does 224 divide 99904? True Does 75 divide 138? False Is 3 a factor of 263? False Is 222 a factor of 7900? False Is 82 a factor of 67568? True Is 27 a factor of 2677? False Is 34513 a multiple of 22? False Is 24420 a multiple of 70? False Is 78 a multiple of 9? False Is 2 a factor of 8470? True Is 25591 a multiple of 157? True Is 12 a factor of 38819? False Is 1485 a multiple of 33? True Is 1403 a multiple of 68? False Does 19 divide 1435? False Is 59 a factor of 23777? True Is 60062 a multiple of 111? False Does 31 divide 6603? True Does 14 divide 272? False Does 23 divide 1380? True Does 81 divide 1539? True Is 13 a factor of 892? False Is 93 a factor of 1953? True Is 4 a factor of 38256? True Is 36 a multiple of 18? True Is 27432 a multiple of 27? True Does 34 divide 51182? False Is 33 a factor of 705? False Does 6 divide 504? True Is 74 a factor of 3478? True Does 35 divide 2485? True Is 8 a factor of 48? True Is 4 a factor of 121? False Is 1719 a multiple of 9? True Is 15 a factor of 2100? True Is 866 a multiple of 40? False Is 220 a multiple of 22? True Does 31 divide 445? False Does 52 divide 3068? True Is 27 a factor of 205? False Does 4 divide 1779? False Is 79410 a multiple of 67? False Is 248 a factor of 9672? True Is 14 a factor of 410? False Does 14 divide 812? True Is 10 a factor of 721? False Is 42 a factor of 21546? True Does 18 divide 23130? True Is 720 a multiple of 72? True Is 12 a factor of 672? True Is 76206 a multiple of 13? True Does 35 divide 280? True Does 16 divide 4582? False Is 6079 a multiple of 36? False Is 38 a factor of 2687? False Is 32062 a multiple of 34? True Is 6580 a multiple of 14? True Does 24 divide 1248? True Does 12 divide 3764? False Is 2162 even? True Is 46 a factor of 57316? True Is 770 a multiple of 7? True Is 14 a factor of 2953? False Is 1983 a multiple of 14? False Is 1320 a multiple of 66? True Is 21 a factor of 20239? False Is 107924 a multiple of 17? False Does 68 divide 22098? False Is 286 a multiple of 98? False Is 18965 a multiple of 51? False Is 494 a multiple of 19? True Is 30804 a multiple of 45? False Is 1833 even? False Does 75 divide 63675? True Is 1344 a multiple of 21? True Is 684 a multiple of 12? True Is 1003 a multiple of 15? False Does 17 divide 1007? False Is 18 a factor of 3316? False Is 26 a factor of 3901? False Is 30 a factor of 4321? False Is 31 a factor of 10874? False Is 149 a multiple of 15? False Is 128 a multiple of 8? True Is 33 a factor of 33660? True Is 27 a factor of 1080? True Is 2255 a multiple of 41? True Does 18 divide 12188? False Does 125 divide 5375? True Is 9 a factor of 131? False Is 640 a multiple of 40? True Is 26 a factor of 29796? True Does 74 divide 1972? False Is 87 a factor of 87? True Is 5104 a multiple of 58? True Is 3548 a multiple of 16? False Is 120 a multiple of 15? True Does 12 divide 948? True Does 13 divide 4665? False Is 106 a factor of 6187? False Is 7139 a multiple of 11? True Does 12 divide 1644? True Does 20 divide 40306? False Is 3198 a multiple of 123? True Does 18 divide 1620? True Is 1048 a multiple of 14? False Is 22240 a multiple of 10? True Does 437 divide 69046? True Does 59 divide 6962? True Is 11 a factor of 68? False Is 462 a multiple of 14? True Is 2440 a multiple of 40? True Is 8 a factor of 23? False Does 20 divide 1540? True Is 14 a factor of 3526? False Is 540 a multiple of 20? True Is 2133 a multiple of 9? True Is 30 a factor of 49673? False Is 9 a factor of 222? False Does 93 divide 1488? True Is 5130 a multiple of 27? True Does 3 divide 383? False Is 428 a multiple of 11? False Is 87696 a multiple of 126? True Does 44 divide 293? False Is 738 even? True Is 2368 a multiple of 8? True Is 3 a factor of 166? False Does 93 divide 279? True Is 630 a multiple of 9? True Is 174 a multiple of 4? False Is 3 a factor of 122? False Is 3910 a multiple of 10? True Does 12 divide 39973? False Does 22 divide 286? True Is 12900 a multiple of 25? True Is 20 a factor of 7060? True Does 9 divide 9062? False Is 1753 a multiple of 4? False Does 13 divide 1196? True Does 7 divide 548? False Is 3150 a multiple of 7? True Is 14 a factor of 602? True Is 873 a multiple of 12? False Is 38 a factor of 11465? False Is 11 a factor of 51163? False Does 34 divide 12253? False Does 24 divide 1716? False Is 24 a factor of 216? True Is 3360 a multiple of 64? False Is 70 a factor of 3010? True Is 1423 a multiple of 67? False Is 1612 a multiple of 14? False Does 17 divide 91946? False Does 124 divide 26163? False Does 8 divide 14952? True Is 27638 a multiple of 44? False Is 53 a factor of 742? True Is 877 a multiple of 3? False Is 31 a factor of 6268? False Is 22 a factor of 21846? True Does 19 divide 1152? False Is 252 a multiple of 14? True Is 15508 a multiple of 41? False Is 9 a factor of 11385? True Is 70 a factor of 6860? True Is 427 a multiple of 8? False Is 49534 a multiple of 294? False Is 204 a multiple of 3? True Is 7 a factor of 951? False Is 16 a factor of 16016? True Is 259 even? False Is 1296 a multiple of 9? True Does 15 divide 6135? True Is 2958 a multiple of 87? True Is 9 a factor of 1530? True Is 27001 a multiple of 13? True Is 996 a multiple of 83? True Is 148 a multiple of 8? False Does 3 divide 19925? False Is 3208 a multiple of 8? True Is 9 a factor of 5530? False Does 2 divide 289? False Is 437 a multiple of 19? True Is 47 a factor of 1175? True Does 21 divide 23025? False Is 48 a factor of 40439? False Does 17 divide 2754? True Is 1344 a multiple of 19? False Is 12 a factor of 904? False Is 1680 a multiple of 153? False Is 66 a factor of 1963? False Is 2663 a multiple of 10? False Does 11 divide 45331? True Does 6 divide 2700? True Is 3 a factor of 12? True Does 16 divide 2512? True Is 14 a factor of 742? True Does 3 divide 432? True Is 530 a multiple of 3? False Is 8 a factor of 65000? True Is 6669 a multiple of 13? True Does 72 divide 4661? False Does 81 divide 12231?
{ "pile_set_name": "DM Mathematics" }
y(z). Differentiate r(c) with respect to c. -7 Let r(u) be the third derivative of 5*u**4/6 + 59*u**3/6 + 12*u**2 - 2. Differentiate r(p) with respect to p. 20 Let a be 7 + 3 + -4 + 2. Suppose 3*x - 2*x - 2 = 0. Find the third derivative of a*b**x - 3*b**2 + 0*b**2 - 3*b**5 wrt b. -180*b**2 What is the third derivative of 0*s**6 - 53 + 53 - 4*s**6 + 11*s**6 + 215*s**2 + 21*s**3 wrt s? 840*s**3 + 126 Let f(h) = -h**2 - 1. Let a(w) = 6*w + 42. Let i be a(-8). Let r(c) = 2 + 6*c + 2 + 2. Let s(d) = i*f(d) - r(d). What is the second derivative of s(q) wrt q? 12 Let m(d) = -10*d - 17. Let o be m(-3). Find the second derivative of -20*u + o*u + 29*u**2 - 9*u**2 - 33*u wrt u. 40 Let o be (3/(-6))/(1/(-6)). Let b = -1 + o. What is the derivative of b*w**2 + 2 - 3 - 2*w**2 + 3*w**2 wrt w? 6*w Find the third derivative of -1510*w**2 + 764*w**2 + 3*w + 761*w**2 + 445*w**3 wrt w. 2670 Let d = -17 - -20. Suppose a - 14 = -2*v, v - 7 = -d*a - a. What is the third derivative of 2*q**3 + 0*q**2 - 9*q**3 - v*q**2 + 12*q**3 wrt q? 30 Let n = -25 + 29. Suppose n*m - 12 = -4. Find the second derivative of 3*b + 3*b**m + 6*b - 6*b**2 - b**2 wrt b. -8 Suppose 2*t + 12 = -10. Let g = -7 - t. Differentiate 3 - 3*h**g + 5 - h**4 wrt h. -16*h**3 Let a(x) be the first derivative of 55*x**4 + 13*x**3/3 + 3*x - 43. Find the third derivative of a(q) wrt q. 1320 Let b(i) = 13*i**4 + 9*i**3 + 16*i**2 + 554. Let x(k) = k**4 + 2*k**2 - 2. Let d(u) = -b(u) + 8*x(u). What is the derivative of d(c) wrt c? -20*c**3 - 27*c**2 Let t = -587 - -587. Let j(a) be the first derivative of -8/3*a**3 + 2*a**4 + t*a**2 - 4 + 0*a. What is the third derivative of j(b) wrt b? 48 Let g(h) be the first derivative of 4*h**5/5 - 10*h**3/3 - 195*h + 245. Differentiate g(r) wrt r. 16*r**3 - 20*r Let x(y) = 651*y**3 + 20*y**2 + 491. Let a(j) = 325*j**3 + 12*j**2 + 246. Let p(k) = 5*a(k) - 3*x(k). Differentiate p(z) wrt z. -984*z**2 Find the second derivative of 14*q**2 - 5*q + 115 - 106 - 37 - 66 + 4*q wrt q. 28 Let h(a) be the second derivative of 11*a**4/6 + 16*a**3 + 3*a - 30. Find the second derivative of h(t) wrt t. 44 Let y(x) = -162*x**3 + 13*x**4 - 9*x + 162*x**3 + 3. Let j(s) = -13*s**4 + 10*s - 4. Let i(h) = -3*j(h) - 4*y(h). What is the second derivative of i(g) wrt g? -156*g**2 Suppose 10*c = 16 + 44. What is the third derivative of -s**c - 109*s**2 + 99*s**2 + 4*s**6 wrt s? 360*s**3 Suppose -3 = -4*i + s, 3*i - 2*i = -2*s + 12. Find the third derivative of 22*n**2 - n**i + 0*n**2 + 11*n**6 + 4*n**6 wrt n. 1800*n**3 Let l be (3 + -1)/(2/12). Differentiate 17*x + 1 + 9 - l*x wrt x. 5 Let w(y) = -y. Let j(f) = -2*f**2 + 2*f - 5. Let p(g) = 2*j(g) - 4*w(g). Let b(i) be the first derivative of p(i). Differentiate b(o) with respect to o. -8 Let c(q) be the second derivative of 41*q**5/5 - 31*q**2 + 8*q - 2. What is the first derivative of c(a) wrt a? 492*a**2 Let h(p) = 8*p + 33. Let k(d) = -11 + 8 + 2. Let n(y) = h(y) - 5*k(y). Differentiate n(l) wrt l. 8 Let x(z) = 81*z**3 + 41*z**2 - 2*z - 3. Let d(n) = 404*n**3 + 206*n**2 - 11*n - 16. Let q(v) = 4*d(v) - 22*x(v). What is the third derivative of q(w) wrt w? -996 Let l(b) = 12 + 11*b - 4*b**4 + 0 + 2. Let z(o) = o**4 - 2*o - 3. Let u(n) = 6*l(n) + 33*z(n). What is the derivative of u(k) wrt k? 36*k**3 Let f(u) be the first derivative of -u**3/3 + 7*u**2/2 - 10*u - 4. Let r be f(3). What is the third derivative of 5*s**4 + 7*s**2 + 0*s**r - 17*s**2 wrt s? 120*s Let t(k) = -k**2. Let c(d) = d**2 + 5*d - 7. Let a be c(-6). Let q(j) = -18*j**2 + 2. Let h(w) = a*q(w) + 5*t(w). Differentiate h(i) with respect to i. 26*i What is the third derivative of -d + 33*d**6 - 18*d**2 - 1 + d**5 + 2*d**5 - 15*d**2 + 1 wrt d? 3960*d**3 + 180*d**2 Find the first derivative of 49*d + 21 - 134 - 5*d**2 + d**2 + 28 wrt d. -8*d + 49 Let a(t) = t**3 + 14*t**2 + 14*t + 16. Let q be a(-13). Differentiate -11 - 5*y**q - 10*y**2 + 10*y**2 wrt y. -15*y**2 Let i(u) = -661*u**3 + 946*u**2 - 20*u. Let g(t) = -661*t**3 + 945*t**2 - 24*t. Let w(s) = -5*g(s) + 6*i(s). Find the third derivative of w(v) wrt v. -3966 Let o(n) = -n**2 - n - 1. Let y(b) = 42*b**2 + 4*b + 57. Let x(t) = -4*o(t) - y(t). Differentiate x(z) with respect to z. -76*z What is the second derivative of -47*p + 117*p**2 + 118*p - 33*p wrt p? 234 Let h(q) be the first derivative of -11*q - 18*q**2 + 7 + 7*q - 18*q. Differentiate h(l) wrt l. -36 Let d(q) be the third derivative of -q**6/60 - 8*q**5/15 - 551*q**4/24 - 20*q**2. What is the second derivative of d(l) wrt l? -12*l - 64 Let u(i) = -i + 2. Let q be u(8). Let b = 11 + q. Find the first derivative of 3*y + y**4 - 1 + 2*y - b*y wrt y. 4*y**3 Let u(k) be the second derivative of k**6/15 - 11*k**5/10 + 75*k**2/2 + 37*k. What is the first derivative of u(p) wrt p? 8*p**3 - 66*p**2 Let u(v) = 6*v**3 - 7*v**2 - 2*v + 50. Let b(k) = -7*k**3 + 8*k**2 + 3*k - 50. Let w(l) = -2*b(l) - 3*u(l). What is the first derivative of w(m) wrt m? -12*m**2 + 10*m Let x(j) be the first derivative of 32*j**3 - 3*j**2/2 - 558*j - 155. Differentiate x(b) with respect to b. 192*b - 3 Suppose 0*c = 2*c - 4. Let y(v) = -v**5 - v. Let h(i) = 4*i**5 + 5*i**2 + 2*i. Let o(x) = c*y(x) + h(x). What is the third derivative of o(l) wrt l? 120*l**2 What is the third derivative of 8 + 64*j**5 - 19*j**5 + j**2 - 58*j**5 + j**6 wrt j? 120*j**3 - 780*j**2 Suppose -3*q + 27 = 5*h, -2*h - 4*q + 5 + 17 = 0. Let n = -16 - -20. What is the derivative of u**h - u**3 + n - 6*u**3 wrt u? -18*u**2 Let m(g) be the first derivative of 2*g**5/5 - 26*g**3/3 - g**2/2 + 10*g - 104. Find the second derivative of m(p) wrt p. 24*p**2 - 52 Find the first derivative of -123*i**2 + 22*i**2 - 94*i**2 + 7*i**2 - 48 wrt i. -376*i Let i = 19 + -15. Suppose 17 = -q - i*h + 41, 3*q - 7 = h. What is the derivative of 2 + q*l - 4*l**2 - l - 3*l wrt l? -8*l Let d(t) be the first derivative of -457*t**7/7 + t**3/3 + 24*t - 939. What is the third derivative of d(w) wrt w? -54840*w**3 Let x(y) = 3*y**2 - 1. Let l(b) = 145*b**4 + 15*b**2 + b + 39. Let h(v) = l(v) - 5*x(v). What is the second derivative of h(s) wrt s? 1740*s**2 Find the second derivative of 97*b - 173*b**4 + 144*b + 192*b wrt b. -2076*b**2 What is the third derivative of 35*n - 25*n**3 + 0*n**2 - 2*n**2 + 60*n**3 + 53*n**3 wrt n? 528 Let t(n) = -77*n + 83. Let y(u) = -u. Let b(p) = -t(p) + 2*y(p). What is the first derivative of b(c) wrt c? 75 Differentiate -78 + 32 - 193*p**4 - 32 wrt p. -772*p**3 Let m(x) = x**3 - 9*x**2 - x + 10. Let y be m(9). Suppose -3*b + y = -r - 8, 0 = 4*r. Find the second derivative of 4*t**4 - 3*t**4 - b*t + 2*t**4 wrt t. 36*t**2 Find the third derivative of 11*r**2 + 6*r**2 - 16*r**2 - 126*r**4 + 71 wrt r. -3024*r What is the third derivative of -84*z**2 + 1 + 72*z**2 + 0 - 6*z**5 wrt z? -360*z**2 Let n(d) = 24*d**2 + 7. Let c(k) be the third derivative of -k**5/60 - 6*k**2. Let m(b) = 6*c(b) + n(b). Find the first derivative of m(f) wrt f. 36*f Suppose -8 = -16*f + 14*f. What is the third derivative of 4*r**3 - 6*r + f*r + 2*r + 16*r**2 wrt r? 24 Find the second derivative of 845*b + 9 - 48 + 11 + 28 + 270*b**3 wrt b. 1620*b Let x(o) be the second derivative of 0*o**3 + o**4 - 9/2*o**2 - 15*o + 0. Differentiate x(b) wrt b. 24*b Let m(d) be the first derivative of 14*d**5/5 + d**4 + 42*d + 177. What is the derivative of m(l) wrt l? 56*l**3 + 12*l**2 Let o(b) be the second derivative of -b**7/420 - 23*b**5/120 - 3*b**4 - 20*b. Let n(s) be the third derivative of o(s). Differentiate n(i) wrt i. -12*i Let w = -34 + 47. Let c = -11 + w. What is the third derivative of 5*k**c - 3*k**3 + 4*k**3 - 9*k**3 wrt k? -48 Suppose 3 = -2*r + 29. What is the first derivative of -9*z + 4*z - r - 18*z wrt z? -23 Let v be (-96)/(-10) - (-1)/((-10)/(-4)). Differentiate v*b - 15 - 3 + 2 with respect to b. 10 Let d(h) = -6 + 4*h - 2 + 7. Let m(r) = 7*r - 1. Let k = -22 + 31. Let j(p) = k*d(p) - 4*m(p). What is the derivative of j(l) wrt l? 8 Let w(v) be the first derivative of 0*v**5 + 0*v**3 - 17/2*v**2 + 0*v**4 - 7/6*v**6 + 0*v + 7. Find the second derivative of w(x) wrt x. -140*x**3 Let k(d) be the third derivative of 0*d + 0 + 5/2*d**3 + 8/105*d**7 + 0*d**4 + 0*d**6 - 4*d**2 + 0*d**5. Differentiate k(r) with respect to r. 64*r**3 Let k(h) = -h*
{ "pile_set_name": "DM Mathematics" }
uppose 5*t = t - 2*i - 94, 2*i = -t - 28. Let g be (5 - 4)/((-2)/t). Let w = 25 - g. Is 11 a factor of w? False Let b = -7 + 0. Let w = b - -11. Suppose -w*f + 62 + 34 = 0. Is f a multiple of 10? False Let g(s) = -2*s + 4. Suppose p + 4*p + 25 = 0. Does 7 divide g(p)? True Let j(l) = 4*l + 1. Let n be j(-3). Let w = 18 + n. Does 4 divide w? False Suppose 5*b + 5*i - 90 = 0, 0 = -4*b - 0*b + 4*i + 104. Suppose 3*m - m - b = 0. Is 11 a factor of m? True Suppose 3*x - 58 - 41 = 0. Does 20 divide x? False Suppose -4*t + 144 = 2*g - 3*t, -5*t + 81 = g. Does 30 divide g? False Let y(k) be the first derivative of -k**3/3 - 7*k**2/2 + 6*k + 2. Does 5 divide y(-7)? False Suppose -m - 28 = 3*m. Let w(f) = 2*f**2 + 9*f - 1. Is w(m) a multiple of 16? False Let g = 38 + 76. Is 10 a factor of g? False Let j(z) = -19*z**3 + 5*z**2 + z - 3. Let r(s) = 38*s**3 - 9*s**2 - 2*s + 5. Let w(x) = -5*j(x) - 3*r(x). Is w(-1) a multiple of 10? True Let a be (-19)/(-7) + 8/28. Let i(z) = 3*z**3 - z**2 - z - 1. Let l be i(2). Suppose -4*q + q = -2*x - l, a*q - x = 22. Is q a multiple of 7? False Suppose -3*s + 5*b - 18 = -2*s, -2*b = -10. Let i = s - 1. Is 4 a factor of (i/3 - -5) + 0? False Let c(n) = -12*n**3 - n**2 - 4*n - 3. Let s be c(-2). Suppose -4*k = 2*r - 3*k - s, -r + 4*k = -35. Let o = 92 - r. Is o a multiple of 18? False Let z(c) = 2*c + 5. Let y be z(-3). Is 9 a factor of y/(-2) + (-159)/(-6)? True Suppose 5*j = 3*o - 21, 5*o = 3*o + 2*j + 10. Let r = o - -17. Is r a multiple of 7? False Does 21 divide 10/4*((-372)/(-30) + -4)? True Let w = -44 + 67. Suppose 3*p - 5*h = 69, w = p + h - 5*h. Does 22 divide p? False Let a be (14/(-6))/((-2)/6). Let v = 12 + a. Is 13 a factor of v? False Suppose 3*k = 141 + 51. Is k a multiple of 16? True Suppose -2*o - 3*x = -20, 5*x = -3*o + 11 + 20. Is 5 a factor of o? False Let n(f) = -f**2 + 12*f. Let i be n(7). Is 561/21 + 10/i a multiple of 9? True Let w be (0 - -20)/(-2 + 3). Suppose -5*s + 3*s + 60 = 5*v, w = -5*v. Is 20 a factor of s? True Is 15 a factor of (-29)/(3 - (-16)/(-4))? False Let l(y) = -y**2 - 2*y. Let n be l(-2). Suppose n = 2*m + 5*i + 24, 5*i = -5*m - 35 + 5. Does 10 divide (m/(-4))/(5/160)? False Suppose 33 = 3*k - 45. Is 26 a factor of k? True Suppose r + 0*r + 5*u = 120, r + 3*u = 110. Is r a multiple of 9? False Let l(t) = -2*t + 1. Let c be l(1). Let g = c - 0. Is 16 a factor of 4/(g/8*-2)? True Let i(o) = -2*o - 6. Let u be -12*(2 - 9/6). Is 3 a factor of i(u)? True Let q(d) = -d - 16. Let h be q(-12). Let k = 28 + h. Suppose 4*s + 8 = t + 40, t = -3*s + k. Is s a multiple of 4? True Let d(s) = 4*s + 1. Let n be d(1). Let p(x) = 3 + n*x + 5 + 1. Is 22 a factor of p(9)? False Let d = 10 - 3. Suppose -s + d*g = 2*g - 52, 3*g = 3*s - 108. Does 16 divide s? True Let y be 4/(-2) + (5 - 0). Let l be 7/4 + 4/16. Suppose 130 = y*m + l*m. Does 8 divide m? False Suppose -3*f + 624 = -3*v, 0 = -4*v - 7 + 3. Let b = f + -68. Suppose b = 5*n + m, -4*n + n + 73 = -2*m. Is n a multiple of 12? False Suppose 0 = 5*v - v + 56. Let t = -2 - v. Does 6 divide t? True Let b = -17 + 23. Is 6 a factor of b? True Does 12 divide (-2 - 1)*(-35 - 1/1)? True Suppose -2*t - m = t - 10, 3*m - 8 = 2*t. Suppose a = t*a - 58. Does 29 divide a? True Let d(n) = 9*n**2 + 1. Let m = 3 + -5. Let c be d(m). Suppose -2*q + 229 = 5*f, -2*q = -f + 2*q + c. Does 16 divide f? False Suppose -4*a = -20, 0*q - 4*q + 216 = 4*a. Does 7 divide q? True Let v be 3*((-4)/6 - -2). Is 2 + v/8*6 a multiple of 5? True Let a(c) = c**3 + 8*c**2 - 5*c + 8. Is 24 a factor of a(-8)? True Let g(s) = s**3 + 9*s**2 - 3*s - 9. Let d be g(-9). Let b = 8 + d. Is 9 a factor of b? False Does 2 divide -1*(-3)/(-2) - (-488)/16? False Let w(z) = z**3 - 2*z**2 - z + 4. Let v be 2*-1*(-3)/(-6). Let t be (-2)/(v - 3)*6. Is w(t) a multiple of 5? True Let g = 21 + -2. Suppose -60 = -3*d - 3*x, -5*d + x = -99 - g. Is 17 a factor of d? False Suppose -4*a + 0*a - 16 = 0, -3*o - a - 22 = 0. Let p be -2 + (-2)/(o/15). Let g(t) = 7*t + 1. Is 15 a factor of g(p)? False Let v(f) = -4 - 13 + f**2 + 5 - 7*f - 2. Does 6 divide v(11)? True Let f(w) = 3*w**2 + w + 1. Let a be f(-1). Let h(l) = -a + 2 + 20*l + 2. Is 10 a factor of h(1)? False Let i(m) = -m**3 + 5*m**2 + m - 4. Let o be i(5). Let h(p) = 5*p**2 + 2*p - 1. Let g be h(o). Let n = g + -3. Does 3 divide n? True Let l(r) = r - 11. Let f be l(5). Is ((-32)/f)/(10/15) a multiple of 8? True Let u = -29 + 19. Let g be (-828)/10 - (-2)/u. Let h = -49 - g. Does 12 divide h? False Let l(c) = c**2 + 7*c - 1. Let u be l(-7). Let y(j) be the second derivative of -5*j**5/4 - j**4/12 + j**3/6 + j**2/2 - j. Is y(u) a multiple of 12? True Is 14 a factor of (1/(-1))/(((-18)/(-3))/(-84))? True Suppose -24 + 74 = s. Is s a multiple of 10? True Suppose 15 = 3*m, 2*w - 120 = -w - 3*m. Is 10 a factor of w? False Suppose -4*a + 7 = -9. Let n = a - 2. Suppose 13 = n*z - 27. Is z a multiple of 20? True Suppose 4*r - 28 = -0*r. Suppose 2*h = r*h - 180. Does 18 divide h? True Is 19 a factor of ((-8)/(-2))/(18/261)? False Let v(t) = 3*t**2 - 2*t - 1. Is v(-5) a multiple of 24? False Let o = -7 + 7. Suppose -t + 2*l + 0 + 10 = 0, -2*t - 2*l + 14 = o. Suppose -t*y - u = -4*y - 26, 0 = -5*y + 4*u + 43. Does 7 divide y? True Let r(j) = 3*j - 11. Let x(z) = z + 1. Let b be x(7). Let h be r(b). Let c = 25 - h. Is c a multiple of 8? False Suppose a = -a + 212. Is a a multiple of 29? False Let x = 150 + -81. Is x a multiple of 8? False Let t = -3 - -9. Suppose 2*z = -3*b - 34, -z + 2*b - 4 = t. Let h = -1 - z. Does 13 divide h? True Let y = -7 - -9. Suppose 3*k + 5*m - 37 = 3*m, 0 = 2*k + y*m - 22. Is k a multiple of 5? True Suppose 4*g - 258 - 614 = 0. Suppose 2*c - 142 = -4*a, 5*a - 2*c = -63 + g. Is a a multiple of 12? False Suppose 44 = 4*j + 2*b - 5*b, 2*j - 3*b - 16 = 0. Is 8 a factor of j? False Suppose -12 - 16 = -m. Is 4 a factor of m? True Let n(t) be the third derivative of t**6/120 + 11*t**5/60 + 11*t**4/24 + 5*t**3/2 + 5*t**2. Let z be -5*5*(-4)/(-10). Does 2 divide n(z)? False Suppose -3*x - 687 = -5*y, 4*y - 3*x = 2*x + 547. Is y a multiple of 35? False Let f be (16/(-10))/((-2)/5). Suppose 0 = 5*a + 1 + f. Let h(r) = 2*r**2 + r + 1. Is h(a) even? True Suppose -3*i = 5*a - 230, -3*i - 2*i - a = -376. Does 17 divide i? False Let v = -5 - -11. Suppose r + 10 = v*r. Suppose -4*m + 34 = 5*s, -2*m + 16 = -r*s + 5*s. Is 10 a factor of m? False Let a(m) = -m**3 + 6*m**2 + 8*m + 2. Let y be a(7). Let i be 4/(-3) - 6/y. Let z = i - -13. Is 4 a factor of z? False Let n(p) = p**2 + p - 6. Suppose -40 + 15 = 5*c. Is n(c) a multiple of 7? True Let x be ((-3)/(-2))/(12/128). Suppose 0*j = -4*j + x. Is j a multiple of 4? True Let t(o) = o**3 + 12*o**2 - 13*o + 3. Is t(-13) a multiple of 2? False Let t be (-39)/2*(-14)/21. Suppose l - 40 = -4*p, -3*l = 1 - t. Does 4 divide p? False Suppose -3*o + 14 = 5*m, -2*o + 6 + 25 = -m. Does 4 divide o? False Let q = 6 + -2. Suppose -2*c + 5 = -2*r + r, 0 = -q*c + 4*r + 20. Suppose c = 5*s + 5 - 25. Is s a multiple of 3? False Suppose -115 = -8*g + 3*g. Does 8 divide g? False Is 4 - 1 - (-8)/4 a multiple of 4? False Let y = 12 - -24. Is y a multiple of 36? True Suppose -h = -2*h - 15. Let w be 16/6*h/(-20). Suppose 0 = n + w - 6. Is n even? True Let y be 5 - (-1 + 0)*3. Suppose q + y*g - 21 = 4*g, 4*q - 44 = 4*g. Is 11 a factor of q? False Let n(c) = c**3 - 9*c**2 - 5*c + 11. Let g be n(10). Let m = -34 + g. Does 9 divide m? True Suppose 3*n - 3 = -2*s, -3*n + 3*s = s - 15. Suppose 25 = 5*x, -n*x = -3*o - 2*o + 10. Is o a multiple of 2? False Suppose 2*o - 148 = t + t, 212 = 3*o - t. Does 23 divide o? True Let l(q) = -4*q**3 + 1. Let i be l(-1). Suppose 35 = 3*m - i*z, -3*m = 5*z - 71 - 14. Does 7 divide m? False Let n(g) = -3*g - 13. Does 2 divide n(-10)? False Let t = 10 + -2. Let k = 11 - t. Suppose q = k*q - 48. Does 10 divide q? False Suppose 2*o + 52 = 3*z, o + 3*o - 56 = -4*z. Is z a multiple of 8? True Let s be ((-64)/6)/(5/30). Let n = s + 92. Does 25 divide n? False Let j = -16 - -37. Suppose l = -6 + j. Is 8 a factor of l? False Let c = -56 + 119. Is 7 a factor of c? True Does 25 divide 5/((-15)/(-82))*9 - -1? False Let v be -8*(30/(-8) + 3). Let d = 23 - v. Does 9 divide d? False Let q be (-6)/(-21) - 94/(
{ "pile_set_name": "DM Mathematics" }
*u**2 - 9*u + 3. Let w(p) = -5*n(p) + 3*x(p). Give w(l). 0 Let x be 0 + 0 - 2/(-1). Suppose -1 - 3 = -4*n. Let s(v) = v + 3 - n - 5*v + 5*v. Calculate s(x). 4 Let p(r) be the second derivative of -r**4/12 + 5*r**3/6 + 4*r**2 + 2*r - 1. Give p(7). -6 Suppose -2*r = -v + 11, 6*r - r = -25. Let y(t) = 0 - 4*t + v + 5*t + 1. Determine y(6). 8 Suppose -5*c = -48 - 52. Let h be 5/c - (-2)/(-8). Let l(u) be the second derivative of -u**4/12 - 3*u**2/2 + u. Calculate l(h). -3 Let w(m) be the first derivative of -7*m**2/2 - m + 14. What is w(3)? -22 Let k be -3 - 0/(1 - -1). Let h(j) be the third derivative of j**6/120 + j**5/30 - j**4/12 - 2*j**3/3 - 24*j**2. Determine h(k). -7 Let o(m) = -2*m + 14. Let j(i) = -3*i + 27. Let u(f) = -3*j(f) + 5*o(f). Let p(z) = -1. Let q(n) = 6*p(n) - u(n). Let a be ((-8)/16)/(3/30). Give q(a). 0 Suppose -2 = -i - 3. Suppose -u - 3*u = 0. Let a(n) = n + u*n + 0*n + 0*n + 5*n**3. Calculate a(i). -6 Let g(l) be the second derivative of -l**5/20 - 2*l**2 - 5*l. Let r(m) = m + 7. Let p be r(-7). Determine g(p). -4 Let o(k) = -k**2. Suppose -s + 2*r - 11 = 0, -3*r = -4*s + 2*r - 35. Let p(j) = -6*j**2 - 7*j - 4. Let g(d) = s*o(d) + p(d). What is g(-5)? 6 Suppose 23 + 1 = 3*a. Let j = -12 + a. Let i(o) = -o**3 - 5*o**2 - 7*o - 5. Give i(j). 7 Let a(i) = -i**2 + 9*i - 11. Let g(y) = -2*y - 10. Let s be g(-9). Calculate a(s). -3 Let f(p) be the first derivative of p**4/4 + 4*p**3/3 + p**2/2 - p - 5. Determine f(-3). 5 Let j(q) = 34*q**3 - 7*q**2 + 5*q + 7. Let u(w) = 51*w**3 - 10*w**2 + 7*w + 10. Let l(t) = -7*j(t) + 5*u(t). Give l(-1). -17 Let h(o) = 3*o**2 - 70*o + 18. Let w be h(23). Let z(v) be the third derivative of v**6/120 + v**5/15 - v**4/8 + 7*v**3/6 + v**2. Determine z(w). -3 Let r be 34/4 + 2/4. Let c = 13 - r. Let m(s) = -s. Let b(l) = 4*l - 5. Let f(n) = -b(n) - 3*m(n). Determine f(c). 1 Let b(c) = -c**3 + 7*c**2 - 6*c + 3. Let q be b(6). Let p(k) be the second derivative of -2*k**3/3 + 3*k**2/2 - 3*k. Calculate p(q). -9 Let u(c) = -c**3 + 3*c**2 - c. Let l(a) = a**3 + 3*a**2 + 2. Let j be l(-4). Let r be (4/j)/(1/(-7)). What is u(r)? 2 Let q(i) = -i**3 + 8*i**2 - 9*i + 4. Let t(o) = -o - 1. Let l(z) = -q(z) + 2*t(z). Determine l(7). -6 Let w be 21/9*(5 - 2). Let m(s) = 7 - 1 - 10*s - w. Calculate m(-1). 9 Let w(p) = -5 + p**3 + 4 - 3*p**2 + 0*p - p + 3*p. Let s = 2 + -1. Let g = s + 2. Determine w(g). 5 Let q be (-1 + 0 - -6) + -1. Let y(n) = 4 - 2 + 8*n + 12 - 3. Let f(t) = 3*t + 4. Let d(s) = 11*f(s) - 4*y(s). Give d(q). 4 Let c(y) = y**3 + 6*y**2 + y + 8. Let a(s) = -4*s + 10. Let r be a(4). Calculate c(r). 2 Let p be 3 + 2 + (3 - 2). Let c = 1 - p. Let u(t) = 3*t**2 + 4*t + 17. Let b(x) = -x**2 - x - 6. Let z(m) = -17*b(m) - 6*u(m). Calculate z(c). 10 Let z(x) = 65*x**2 + 0*x**3 + x**3 - 69*x**2 + 5*x - 2. What is z(3)? 4 Let g(c) = -46*c - 7*c**2 + 7 + 5*c**3 + 46*c. Let l(i) = 6*i**3 - 8*i**2 + 8. Let k(q) = -5*g(q) + 4*l(q). Determine k(3). -3 Suppose 5*h - h = -24. Let l(c) = 3*c + 8. What is l(h)? -10 Let p(s) = 3 - 2*s**3 + 0*s + 4*s - 2*s + 3*s**3 + 2*s + s**2. Suppose -5*f - 12 = -2. Give p(f). -9 Let r = -11 + 8. Let d(z) = 3 + 2*z + 1 - 3. Give d(r). -5 Let u(g) = -g**3 - 6*g**2 - 5*g - 4. Let i(s) = -4*s + 7. Let b be i(3). Give u(b). -4 Suppose 5*s - 3*i = 47, 0*i = -2*i + 2. Suppose s = b - 0. Suppose 0*y - 5*y = -b. Let p(m) = -3*m - 1. Give p(y). -7 Let k(l) = 4*l + 1. Suppose -4*z + 20 = 0, 5*p + 0*p = 3*z - 10. Let n be k(p). Let m(y) be the first derivative of y**3/3 - 2*y**2 - 2*y - 1. Determine m(n). 3 Let p(x) = x**2 - x - 12. Suppose -w = q - 6*w - 20, -5*q + 4 = -w. Determine p(q). -12 Let f(b) be the second derivative of b**5/20 - 2*b**4/3 + 7*b**3/6 - b**2 - 30*b. Calculate f(7). -2 Let m(d) = 2*d. Let y(p) = -p**3 + 11*p**2 + 13*p - 18. Suppose -5*b = -48 - 12. Let i be y(b). Calculate m(i). -12 Suppose -d = d + 6. Let l(j) = j**3 + 4*j**2 + 2*j - 1. Let w be l(d). Let x(f) = 2*f**3 - 2*f**2. What is x(w)? 8 Let l(c) = -c**3 + 4*c**2 - 2*c - 2. Let f be l(3). Let o be 1 - (-5 + f)/1. Let z(p) = -3*p + o*p + 0*p + 1. Give z(-1). -1 Suppose 2*b + 12 = -0*b. Let t(c) = c**2 + 8*c - 3. What is t(b)? -15 Let p(g) = g**3 + 5*g**2 + 7*g + 2. Let u = -15 - -12. Let n be p(u). Let s(a) = 5*a - 1. What is s(n)? -6 Let v(s) = s**2 - 5*s - 4. Let w be v(6). Suppose w*m - 4*p - 16 = 0, 5 = -p - 4*p. Let c(r) = -13 - 7*r + 8 + m. Give c(-1). 8 Suppose -5 = 2*a + 3*a. Let r(i) = -2*i**3 - 2*i**2 - i - 6. Let k(d) = d**3 + d**2 + 1. Let n(l) = a*r(l) - 4*k(l). Let p = -8 - -6. Calculate n(p). 8 Let w(z) be the third derivative of -1/15*z**5 + 1/120*z**6 - 1/24*z**4 + z**2 + 1/3*z**3 + 0*z + 0. Let a = 12 + -8. What is w(a)? -2 Let h(r) = -3 + 2 + 8*r + 2. Let a = 20 + -21. Determine h(a). -7 Let v = -38 + 37. Let u(x) = -3*x**2 - 2*x - 1. Determine u(v). -2 Suppose -d = -6 + 4. Let r(p) = 2*p**2 + d*p**2 - 5*p**2 - 2*p - 3*p - 6. Suppose 12 = -2*k - k. Determine r(k). -2 Suppose -x + 2 + 3 = 0. Let c(v) = v + 3 - 5 + x. Give c(3). 6 Let n(d) = -4*d + 3. Let q be 162/(-30) - (-4)/10. Let w = -12 - q. Let y be (-12)/w + (-2)/(-7). Give n(y). -5 Let q(d) = -d + 7. Let w be q(8). Let i = w - 3. Let j(h) be the third derivative of -h**6/120 - h**5/15 + h**4/24 - h**3/3 + 4*h**2. What is j(i)? -6 Suppose 4 - 12 = 4*m. Let d(b) = -4*b**2 - b**3 - 1 - 1 + 0*b**2 - b. Give d(m). -8 Let y = -1 - -1. Let n(b) = 0*b**3 + 5 - b + 0*b**3 - 2 - b**3. Determine n(y). 3 Let o(f) = f - 9. Let c(z) = -14*z + 21. Let i(n) = 5*n - 7. Let b(a) = -6*c(a) - 17*i(a). Let y be b(-7). Suppose 5*h = -y*h + 25. Give o(h). -4 Let x(b) = -b**2 + b - 1. Let u be x(1). Let g be 1*u/(-2)*0. Let r(w) = -w. Determine r(g). 0 Let l(i) = 6*i + 1. Suppose -2*z = -5*z - 3*d + 6, 0 = z + 3*d - 8. Let w be 8/(z - (3 + -6)). Let u = w - 3. Calculate l(u). 7 Let m = -27 + 24. Let a(d) = -d**2 - 3*d - 3. Determine a(m). -3 Let x(k) = -k**2 - 4*k - 1. Let z(o) = o**2 + o - 1. Let p(g) = -x(g) - 2*z(g). Calculate p(4). -5 Let a(g) = g**2 - g - 2. Let s(i) = -2*i**2 + 3*i + 4. Let q(t) = 5*a(t) + 3*s(t). Calculate q(4). 2 Let d(o) = o**3 + 3*o**2 - 3*o - 2. Let n = 7 + -10. What is d(n)? 7 Let s(j) = j**3 - 3*j**2 + j. Let k(i) = -i**2 + i + 2. Let b be (-2)/5 + 8/20. Let x be k(b). Calculate s(x). -2 Let a = -6 + 8. Let d be (-2)/(-3) - (-1)/3. Let z(f) = -2*f**2 + f + d - a + 3. Calculate z(2). -4 Let s = 7 - 12. Let m(h) be the second derivative of -h**6/360 - h**5/120 + h**4/4 - 4*h. Let i(p) be the third derivative of m(p). Give i(s). 9 Let v(s) = s**2 - 4. Let q(a) = 2*a**2 - 19*a + 9. Let i be q(9). Calculate v(i). -4 Let q(k) = -k - 1. Let t(i) = i**2 + 6. Let o(x) = 4*q(x) + t(x). Let c = -7 + 12. Give o(c). 7 Let h = -22 + 13. Let d = h + 16. Suppose -2*t - d = 3*v - 3, 6 = 4*t - v. Let g(i) = -5*i**2 + i. Determine g(t). -4 Let x(m) be the third derivative of m**4/12 + 5*m**3/6 + m**2. Suppose -8*d = 50 - 18. Calculate x(d). -3 Let v(h) be the second derivative of 0 - 1/12*h**4 + h + 1/6*h**3 + 3/2*h**2. Calculate v(0). 3 Let a(q) = -4*q + 1. Let v be 3/(-12) + 18/8. Give a(v). -7 Suppose -3*t - 30 = -8*t. Let p(f) = f**2 - 7*f + 3. Calculate p(t). -3 Let l(s) be the third derivative of 0*s - 1/2*s**3 - 1/4*s**4 - 1/60*s**5 + 9*s**2 + 0. Determine l(-2). 5 Let o(z) = 5*z**2 - 20*z + 11. Let p(u) = 2*u**2 - 7*u + 4. Let q(b) = 3*o(b) - 8*p(b). Suppose -3*w + 23 = -4*m - 0*m, -4*m + w = 21. Calculate q(m). -4 Let r(t) = 5*t**3 - 13*t**2 - 5. Let w(d) = 4*d**3 - 12*d**2 + d - 6. Let a(q) = -5*r(q) + 6*w(q). Calculate a(-8). 5 Let b(x) be the first derivative of -1/2*x**2 + 2 - x. Suppose -3*i = -2*g + i - 16, g - 5*i + 23 = 0. Give b(g). -3 Let r(y) = -2*y**2 - 6*y + 7. Let j(d) = d**2 + 6*d - 6. Let q(u) = -4*j(u) - 3*r(u). Determine q(4). 11 Let v = 5 - 3. Let r = 4 - v. Let t(d) be the first derivative of d**4/4 - 4*d**3/3 + 2*d**2 - 2*d - 1. Calculate t(r). -2 Let y(h) = h - 4*h + 3 + 4*h. Suppose -5*m - 10 = 2*g + 3*g, 5*g + 2*m = 5. What is y(g)? 6 Let d be 0 - 0 - (-6)/2. Let x(f) = 0 - 3*f + 0 + 0 + 4*f**2 - 1 - f**d. What is x(3)? -1 Suppose 4*j + 14 = -0*g - 3*g, -2*j - 18 = -4*g. Let o(f) = -f**3 - 4*f**2 + 5*f. Determine o(j). 0 Suppose v - 6 = 2*m, -2*m - 5*v + 2 = 8. Let w(x) = x**3 + 4*x**2 + 2*x - 1. What is w(m)? 2
{ "pile_set_name": "DM Mathematics" }
n Differentiate 786560*s + 804182 wrt s. 786560 What is the derivative of -185*p**4 + 16*p**3 + 6*p**2 - 10029? -740*p**3 + 48*p**2 + 12*p Find the first derivative of -13*l*m*s + 4*l*m + 308*l*s - 21*l + m*s - 5*s - 749 wrt s. -13*l*m + 308*l + m - 5 Find the first derivative of -124246*q**2 - 552633. -248492*q Find the first derivative of 32403*l + 47596 wrt l. 32403 What is the derivative of f*u**2 + 220*f*u*v**3 - 333*f*u - 4*f*v**3 - f*v**2 + 239*v**3 - 2*v**2 + 42 wrt u? 2*f*u + 220*f*v**3 - 333*f What is the second derivative of -665104*i**2 + 298434*i? -1330208 Find the second derivative of 421758*u**5 - 132*u - 1179 wrt u. 8435160*u**3 What is the second derivative of -643*p**5 + 1568*p**3*y**3 - 2*p*y**3 + 250*p*y + y**3 + 5*y**2 + 55 wrt p? -12860*p**3 + 9408*p*y**3 Find the first derivative of 750*p**4 - 168*p**3 + 71291. 3000*p**3 - 504*p**2 Find the second derivative of -2165379*q**5 - 1272556*q. -43307580*q**3 Differentiate -315850*l**3 + 103082 wrt l. -947550*l**2 Find the third derivative of -38315*d*k**3 - 2*d*k**2 + 313*d*k - 24*k wrt k. -229890*d Differentiate -188180*j + 249779 wrt j. -188180 Differentiate -308289*g**2*z - 61236*g**2 - 2*g wrt z. -308289*g**2 What is the third derivative of -1111453*c**5 + 4*c**2 - 87*c - 140 wrt c? -66687180*c**2 What is the derivative of -3435*g**2*p - 48*g**2 + 4*g + 6*p - 25 wrt p? -3435*g**2 + 6 What is the third derivative of 122117*d**4 - 100*d**2 - d + 388? 2930808*d Find the first derivative of 1977047*l + 234516 wrt l. 1977047 Find the second derivative of 213*y**5 - 62*y**4 + 8946*y. 4260*y**3 - 744*y**2 What is the second derivative of 8849*d**2*o**2*x + 6*d**2*o*x**3 + 2*d*o**2*x**3 + 6859*d*o*x + 4*o**2*x**2 wrt d? 17698*o**2*x + 12*o*x**3 What is the second derivative of -110*j**3 + 3869*j**2 - 20*j - 44800? -660*j + 7738 What is the first derivative of -2402623*b + 3450666? -2402623 Find the second derivative of -282*q**4*t - 306*q**3*t**3 + 5513*q*t**3 - 19*t**2 wrt q. -3384*q**2*t - 1836*q*t**3 What is the second derivative of -826730*i**2 + 607*i + 793? -1653460 What is the first derivative of -4907*d**2*v - 394089*d**2 + 14*d*v wrt v? -4907*d**2 + 14*d What is the third derivative of 404*d**6*y - 6*d**3*y - 3*d**2*y + 1061*d**2 + y wrt d? 48480*d**3*y - 36*y What is the first derivative of -n*u**2 + n*u + n*v - 5763*n - 2011*u**2*v + 2*u**2 - 3*v wrt v? n - 2011*u**2 - 3 What is the first derivative of 103*w**4 + 323*w**3 - w**2 - 372904? 412*w**3 + 969*w**2 - 2*w Find the second derivative of 62*s**5 + 278*s**2 + 4*s - 5156 wrt s. 1240*s**3 + 556 What is the second derivative of 1328*d**2*f**3 - 2*d**2*f**2 + 97*d**2*f + 8*d*f**3 - 40*d - 197 wrt d? 2656*f**3 - 4*f**2 + 194*f What is the third derivative of -7943*a**4 - 676*a**2 + 6*a + 4 wrt a? -190632*a Find the first derivative of 11751*f**2*k + 159*f**2 - 3*f - 8 wrt k. 11751*f**2 Find the third derivative of -377598*g**3 - 17845*g**2 - g - 1. -2265588 What is the second derivative of -38*c**3*h**2 - 17*c**3 + 14*c**2*h**2 + 5*c**2 + 2*c*h**2 - 42*c*h wrt h? -76*c**3 + 28*c**2 + 4*c Find the second derivative of 58301*a*f**2*v**3*x**3 + a*f**2*v**2 + a*f*x**3 + 1110383*v**3*x wrt f. 116602*a*v**3*x**3 + 2*a*v**2 Find the first derivative of -112*z**3 + 32*z**2 - 53676 wrt z. -336*z**2 + 64*z What is the third derivative of -10*n**4*t + n**4 - 838*n**3*t - 51029*n**2*t - 3*t wrt n? -240*n*t + 24*n - 5028*t Find the third derivative of -2*b**3*j - 113*b**3*t - 916*b**3 + 4*b**2*j*t + 5*b**2 + 2624*b*t wrt b. -12*j - 678*t - 5496 Differentiate 2*i*x**2 - 13709*i*x - 2*i + 31*x**2 - x + 72336 wrt x. 4*i*x - 13709*i + 62*x - 1 What is the derivative of -61238*p + 477966? -61238 Find the first derivative of -71869*q**4 - 8*q + 2461335. -287476*q**3 - 8 Differentiate 1596*a*f**3 - 54*a*f - 5470*a wrt f. 4788*a*f**2 - 54*a What is the first derivative of -817683*q**4 + 294931? -3270732*q**3 Find the third derivative of -3402*x**5 - 2*x**3 - 117*x**2 - 19 wrt x. -204120*x**2 - 12 Find the second derivative of 5988*w**3 + 3172*w + 1. 35928*w Find the third derivative of 25*a**6*d + 4187*a**5*d**2 - 3254*a**2*d**2 + a - 9*d wrt a. 3000*a**3*d + 251220*a**2*d**2 Find the third derivative of -87943*c**3 + c**2 - 1028*c - 2 wrt c. -527658 Differentiate 876*d*q + 8*d + 19578*q wrt d. 876*q + 8 What is the second derivative of 4*x**4 - 2*x**3 + 36*x**2 + 26297*x wrt x? 48*x**2 - 12*x + 72 What is the first derivative of 330546*l - 1010316? 330546 What is the second derivative of -194210*u**5 + 59533*u? -3884200*u**3 What is the second derivative of -211904*i**4 + 132074*i? -2542848*i**2 Find the third derivative of 36155*d**6 + 10291*d**2. 4338600*d**3 What is the second derivative of 13*y**5 + 99360*y**3 + 53786*y wrt y? 260*y**3 + 596160*y Find the third derivative of -10518*x**5 + x**2 - 888. -631080*x**2 What is the second derivative of -g**5 + 3979*g**3 + 2*g**2 + 23322*g + 4? -20*g**3 + 23874*g + 4 What is the derivative of -2*c**2 - 354799*c - 57021 wrt c? -4*c - 354799 What is the derivative of 2*j**2*x - 1993008*j*x**2*z + 64*x**2*z + 17253*x wrt j? 4*j*x - 1993008*x**2*z Find the second derivative of 4087*p**3 - 5*p**2 - p - 66996. 24522*p - 10 What is the second derivative of 10*b**2*m**2 - 47*b**2*m + 597*b*m - 721*m**2 wrt m? 20*b**2 - 1442 What is the third derivative of 98576*o**3*s - 1317*o**2*s + 3*o**2 + 5*o*s + 2*s - 4 wrt o? 591456*s What is the third derivative of 87449*w**6 - 17294*w**2 wrt w? 10493880*w**3 What is the second derivative of 18991*w**4 + 4*w**2 - 102028*w + 2 wrt w? 227892*w**2 + 8 What is the third derivative of -904*u**5 - 146*u**4 + 2*u**3 - 697124*u**2 wrt u? -54240*u**2 - 3504*u + 12 Find the second derivative of -15*h**2*j**2*m - 2*h**2*j*m - 924*h*j**3*m + 35451*h*j*m + j wrt j. -30*h**2*m - 5544*h*j*m Find the second derivative of -5319*x**3 - 244865*x wrt x. -31914*x What is the third derivative of y**6 + 10469*y**4 + 30721*y**2 wrt y? 120*y**3 + 251256*y Differentiate 94*b**3*f**2*u - 30*b**3*f + 333*b**2*f**3 + 237*b*f**3*u wrt u. 94*b**3*f**2 + 237*b*f**3 What is the second derivative of -203645*g**2 - 57165*g - 1? -407290 Find the third derivative of 2*b*s**2*u**3 - 45*b*s**2*u**2 - 2*b*u - 9024*s**2*u**3 + 6*s**2 wrt u. 12*b*s**2 - 54144*s**2 What is the first derivative of -113774*k*s + 43077*k wrt s? -113774*k Find the first derivative of -306256*b**2*g + 25332*b**2 - b - 2 wrt g. -306256*b**2 What is the third derivative of -7*d**3*y**3 + 26*d**3*y - 7*d**3 - 10*d**2*y**3 + 4*y**4 - y**3 - 13*y**2 wrt y? -42*d**3 - 60*d**2 + 96*y - 6 What is the second derivative of 2*n**2*p - 2*n**2*y**2 + 4*n**2*y + 1923*n*p**2*y**2 + 594*n*p**2*y + p wrt y? -4*n**2 + 3846*n*p**2 Find the third derivative of -2*p**3*w**3 + 2*p**3*w**2 + 70*p**3 - 1094469*p**2*w**3 + 12247*p*w + w**2 wrt w. -12*p**3 - 6566814*p**2 What is the first derivative of -137522*j**3*r**2 - 38992*j**3 + 2*j**2*r**2 - 2*j**2 + 5*j wrt r? -275044*j**3*r + 4*j**2*r What is the first derivative of -618869*l - 388630? -618869 Find the second derivative of -f**3*o**2 + 7*f**3 - 1084*f**2*o**2 + 1375*f**2*o + o**2 wrt o. -2*f**3 - 2168*f**2 + 2 Find the first derivative of 1188*l**4 + l*n**2 - 3*n**2 + 2849*n wrt l. 4752*l**3 + n**2 Find the third derivative of -2709976*m**6 + 67932*m**2 - 23*m + 2 wrt m. -325197120*m**3 What is the first derivative of 12*n**3*w + 3309*n**3 + 28*n*w**4 + 20*w**3 - 5 wrt w? 12*n**3 + 112*n*w**3 + 60*w**2 Find the third derivative of 3260*d**3*z**4 + 338*d**3 + 9*d**2*z**2 - 11*z**4 + 3*z**2 wrt z. 78240*d**3*z - 264*z Find the second derivative of -908001*v**2 + 4247710*v wrt v. -1816002 Find the third derivative of 274*a**5 - 669*a**4 + 81*a**2 + 225*a + 7 wrt a. 16440*a**2 - 16056*a Find the second derivative of -2*h**4 - 6308*h**3 + 67*h - 102. -24*h**2 - 37848*h What is the first derivative of -33448*j + 68974? -33448 What is the third derivative of -3*c**2*k**3 - 46*c**2*k**2 + 163*c**2 - 6092*c*k**3 + 2*c*k**2 + 5*c - 3*k**3 wrt k? -18*c**2 - 36552*c - 18 What is the derivative of 200957*q**3 + 187448 wrt q? 602871*q**2 Differentiate -373*o**3 + 5*o**2 + 5465. -1119*o**2 + 10*o What is the third derivative of -1226*h*p**3 + h*p**2 + 30*h*p - 2*p**3 - 2*p - 7 wrt p? -7356*h - 12 What
{ "pile_set_name": "DM Mathematics" }
hen 20228 is divided by 6718? 74 Calculate the remainder when 1985 is divided by 303. 167 Calculate the remainder when 36860 is divided by 769. 717 What is the remainder when 121777 is divided by 19? 6 What is the remainder when 109196 is divided by 1300? 1296 What is the remainder when 664689 is divided by 1156? 1145 Calculate the remainder when 25216 is divided by 194. 190 What is the remainder when 16995 is divided by 28? 27 What is the remainder when 71332 is divided by 71236? 96 What is the remainder when 405 is divided by 9? 0 Calculate the remainder when 112974 is divided by 10. 4 Calculate the remainder when 3841 is divided by 1273. 22 What is the remainder when 38044 is divided by 19013? 18 What is the remainder when 44572 is divided by 262? 32 What is the remainder when 211984 is divided by 70661? 1 Calculate the remainder when 468 is divided by 26. 0 Calculate the remainder when 762468 is divided by 254152. 12 Calculate the remainder when 3079 is divided by 11. 10 What is the remainder when 31199 is divided by 8? 7 What is the remainder when 2104 is divided by 1933? 171 Calculate the remainder when 49808 is divided by 244. 32 Calculate the remainder when 2460 is divided by 593. 88 Calculate the remainder when 20899 is divided by 3481. 13 What is the remainder when 7901 is divided by 247? 244 What is the remainder when 2888 is divided by 23? 13 What is the remainder when 59658 is divided by 865? 838 What is the remainder when 17583 is divided by 37? 8 Calculate the remainder when 13991 is divided by 1382. 171 Calculate the remainder when 43341 is divided by 107. 6 What is the remainder when 10982 is divided by 1099? 1091 Calculate the remainder when 53591 is divided by 1489. 1476 What is the remainder when 3577 is divided by 485? 182 Calculate the remainder when 4947 is divided by 43. 2 What is the remainder when 3403 is divided by 15? 13 Calculate the remainder when 222651 is divided by 59. 44 What is the remainder when 89916 is divided by 532? 8 What is the remainder when 4844 is divided by 83? 30 What is the remainder when 108619 is divided by 1168? 1163 What is the remainder when 14853 is divided by 1668? 1509 Calculate the remainder when 8014 is divided by 24. 22 Calculate the remainder when 7465 is divided by 28. 17 Calculate the remainder when 3893 is divided by 966. 29 What is the remainder when 72699 is divided by 275? 99 Calculate the remainder when 59462 is divided by 217. 4 Calculate the remainder when 181430 is divided by 7. 4 Calculate the remainder when 35864 is divided by 236. 228 Calculate the remainder when 129530 is divided by 265. 210 What is the remainder when 10799 is divided by 55? 19 Calculate the remainder when 10286 is divided by 10286. 0 What is the remainder when 320740 is divided by 9? 7 Calculate the remainder when 12079 is divided by 756. 739 What is the remainder when 1549 is divided by 17? 2 What is the remainder when 18759 is divided by 2078? 57 Calculate the remainder when 2737 is divided by 2691. 46 What is the remainder when 4170 is divided by 9? 3 What is the remainder when 112227 is divided by 360? 267 What is the remainder when 15643 is divided by 1556? 83 What is the remainder when 3712 is divided by 311? 291 What is the remainder when 118035 is divided by 92? 91 Calculate the remainder when 43908 is divided by 51. 48 What is the remainder when 1771 is divided by 589? 4 What is the remainder when 17184 is divided by 192? 96 Calculate the remainder when 12224 is divided by 176. 80 Calculate the remainder when 186295 is divided by 30. 25 What is the remainder when 17478 is divided by 769? 560 Calculate the remainder when 508588 is divided by 56. 52 What is the remainder when 258940 is divided by 952? 948 What is the remainder when 409889 is divided by 5465? 14 What is the remainder when 48284 is divided by 1071? 89 What is the remainder when 4655 is divided by 404? 211 Calculate the remainder when 21301 is divided by 1751. 289 What is the remainder when 22671 is divided by 218? 217 Calculate the remainder when 38576 is divided by 585. 551 Calculate the remainder when 2667 is divided by 433. 69 What is the remainder when 32466 is divided by 34? 30 Calculate the remainder when 2436 is divided by 215. 71 What is the remainder when 54289 is divided by 115? 9 What is the remainder when 48034 is divided by 199? 75 What is the remainder when 79673 is divided by 225? 23 Calculate the remainder when 15636 is divided by 298. 140 Calculate the remainder when 5096 is divided by 2540. 16 What is the remainder when 770968 is divided by 67? 66 What is the remainder when 14537 is divided by 725? 37 What is the remainder when 72279 is divided by 100? 79 Calculate the remainder when 12204 is divided by 45. 9 Calculate the remainder when 135303 is divided by 2653. 0 Calculate the remainder when 92348 is divided by 1565. 13 What is the remainder when 17116 is divided by 13? 8 What is the remainder when 8030 is divided by 2322? 1064 Calculate the remainder when 17776 is divided by 613. 612 Calculate the remainder when 567 is divided by 43. 8 Calculate the remainder when 1839013 is divided by 15. 13 Calculate the remainder when 46240 is divided by 6605. 5 Calculate the remainder when 19012 is divided by 192. 4 Calculate the remainder when 562582 is divided by 24. 22 Calculate the remainder when 92210 is divided by 423. 419 Calculate the remainder when 64428 is divided by 12883. 13 What is the remainder when 115652 is divided by 7228? 4 What is the remainder when 13733 is divided by 2739? 38 Calculate the remainder when 1384 is divided by 86. 8 Calculate the remainder when 184319 is divided by 256. 255 Calculate the remainder when 17644 is divided by 1338. 250 What is the remainder when 104144 is divided by 63? 5 Calculate the remainder when 7294 is divided by 44. 34 Calculate the remainder when 3789 is divided by 8. 5 Calculate the remainder when 23699 is divided by 2962. 3 What is the remainder when 39934 is divided by 849? 31 Calculate the remainder when 12213 is divided by 1151. 703 What is the remainder when 7690 is divided by 7246? 444 Calculate the remainder when 21502 is divided by 1265. 1262 Calculate the remainder when 1521326 is divided by 573. 11 Calculate the remainder when 32784 is divided by 75. 9 Calculate the remainder when 14535 is divided by 170. 85 Calculate the remainder when 44601 is divided by 3455. 3141 Calculate the remainder when 87421 is divided by 16. 13 Calculate the remainder when 16392 is divided by 7416. 1560 What is the remainder when 4595 is divided by 100? 95 Calculate the remainder when 27223 is divided by 41. 40 Calculate the remainder when 118 is divided by 92. 26 What is the remainder when 53698 is divided by 410? 398 What is the remainder when 280499 is divided by 17? 16 What is the remainder when 2256 is divided by 10? 6 What is the remainder when 5427 is divided by 302? 293 Calculate the remainder when 99176 is divided by 190. 186 Calculate the remainder when 11560 is divided by 43. 36 What is the remainder when 24925 is divided by 24918? 7 Calculate the remainder when 111791 is divided by 11. 9 What is the remainder when 8872 is divided by 165? 127 Calculate the remainder when 12843 is divided by 3208. 11 Calculate the remainder when 1663 is divided by 798. 67 What is the remainder when 155046 is divided by 886? 882 What is the remainder when 47558 is divided by 506? 500 Calculate the remainder when 21864 is divided by 2732. 8 Calculate the remainder when 2270 is divided by 547. 82 What is the remainder when 18802 is divided by 9355? 92 What is the remainder when 36392 is divided by 9098? 0 Calculate the remainder when 1283 is divided by 540. 203 What is the remainder when 39373 is divided by 20? 13 What is the remainder when 539273 is divided by 107? 100 What is the remainder when 4754 is divided by 4515? 239 What is the remainder when 4890 is divided by 175? 165 What is the remainder when 17623 is divided by 8799? 25 What is the remainder when 934 is divided by 125? 59 What is the remainder when 23088 is divided by 532? 212 What is the remainder when 7155 is divided by 484? 379 Calculate the remainder when 7909718 is divided by 56. 54 What is the remainder when 213563
{ "pile_set_name": "DM Mathematics" }
and s? 144 Let g = -201271/18 + 11177. Let w = 3573687/1476725 + -1/118138. Calculate the common denominator of g and w. 450 Suppose 134 = 6*g - 76. Let y = g - 21. What is the least common multiple of y and 4? 28 Suppose o + 121 = 4*f, 79*f - 77*f = -o + 59. What is the lowest common multiple of (-3)/(1*(-6)/20) and f? 30 Let y = -12409989/164 - -75671. What is the common denominator of -83/40 and y? 1640 Let y = 11 + -47. Calculate the common denominator of ((253/(-154))/23)/((-2)/8) and 2 - 1 - (y + -1). 7 Suppose -8*t - 8 = -10*t. Suppose -4*x - l + 25 = 0, t*x - 2 = 2*l + 20. Calculate the least common multiple of x and 5. 30 Calculate the common denominator of (44/(-30))/(-22)*399/6 and -119/10. 30 Let i be (((-3)/(-20))/(-3))/((-36)/(-2890032)). Let b = -4019 - i. Find the common denominator of -7/15 and b. 15 Let u = 610297/63 + -9687. What is the common denominator of -73/28 and u? 252 Let w be ((-10)/4 + 2)/((-8407)/(-28)). Let v = -37227/2402 + w. What is the common denominator of v and (-97)/4*4/(-6)? 6 Suppose -13*s + 6 = -3*q - 18*s, -q - 6 = 3*s. Calculate the smallest common multiple of 97 and q. 291 Let g = 2 + -1. Calculate the least common multiple of g and 1 - (-148)/16 - 3/(-4). 11 Let j = 2056/785 - 3/157. Let z(i) = -8*i + 9. Let f be z(8). Find the common denominator of j and 22/f + (-962)/(-80). 40 Let b = 5 - 23. Let n = -504223/20 - -25205. What is the common denominator of n and (61/(-3))/(48/b)? 40 Suppose -18 + 60 = 3*f. Let p(j) = -j - 2. Let g be p(-1). Let i = g - -7. What is the least common multiple of f and i? 42 Let i = -64 + 40. Let n = -14 - i. Calculate the smallest common multiple of n and 33. 330 Let c = 60603 + -109812685/1812. Calculate the common denominator of c and 101/10. 9060 Let s = -61/9 + 575/18. What is the common denominator of s and 101/16? 48 Find the common denominator of -21/20 and 110/75*27/153. 340 Calculate the common denominator of -121/684 and (-4 + (-47)/(-2))/((-54)/8). 684 Let d(u) = -u**2 + 2*u. Let g be d(3). Let l be (g + 1)/(2/(-14)). Suppose -3*j + j = -l. Calculate the smallest common multiple of j and 1. 7 Let r(k) = 5*k - 31. Let x be r(6). Suppose -11 = -5*s - 4*l, 0*s - 3*l = s. What is the common denominator of s*x/(45/(-159)) and 35/3? 15 Suppose 2*a + 2 + 10 = 0. Let f(r) = 12*r + 92. What is the least common multiple of (-9)/2*-1*4 and f(a)? 180 Suppose 3*t + 33 = 6*t. What is the smallest common multiple of (-9)/(-2)*6/9 and t? 33 Suppose -4*s - 4*n - 560 = 0, 0*n - 5*n + 245 = -2*s. Let m = 679/5 + s. What is the common denominator of m and 45/4? 20 What is the common denominator of 2*7/(315/(-115)) and 80/57? 171 Suppose 16 + 20 = 4*o. What is the smallest common multiple of o and 10? 90 Let z(m) = m**3 + 3*m**2 + 2*m - 2. Let c be z(-2). What is the smallest common multiple of (-30 + 22)/(c/4) and 22? 176 Calculate the smallest common multiple of 32 + 34 - 6*1 and 44. 660 Let j = -993/124 + 8/31. What is the common denominator of (-219)/(-60) - (1 - -1) and j? 20 Let r be (-58212)/70 + 2/(-5). Let o = r + 5799/7. Find the common denominator of o and 74/9. 63 Let r(h) = -h**2 - 2*h + 5. Let b be r(-4). Calculate the common denominator of 37/2 and (73/14 - 3) + b. 14 Let h(z) = z + 2. Let k be h(2). Suppose 0 = 4*w + 2*i - k*i - 48, -3*i - 42 = -3*w. Calculate the smallest common multiple of (-75)/175 - 17/(-7) and w. 10 Let x be (-1)/(-3) - (-25)/(-3). Let j = x - -3. Calculate the common denominator of 16/22*j - -2 and 97/2. 22 Let z(k) = -k**2 + 10*k + 2. Let r be z(10). Let p(u) = -2*u**r - 6*u + 3*u**2 - 3 - 2 - 1. What is the least common multiple of 9 and p(7)? 9 Let w(x) = -x**3 - 5*x**2 + 19*x + 43. Let i be (2/(-4))/(2/(-20)). Let b(y) = -y + 7. Calculate the lowest common multiple of w(-7) and b(i). 8 Suppose 4*v + 20 = -0*v. Let i = 10 + v. Let g(a) = 3*a - 5. What is the smallest common multiple of 3 and g(i)? 30 Let c(g) = g**3 - 21*g**2 - 22*g + 9. Let l be c(22). Calculate the common denominator of -31/8 and -1 - -37*3/l. 24 Let v = 69239477 + -1385158567/20. Let l = v + 18456. Let g = 712/5 - 706/5. Calculate the common denominator of g and l. 20 Suppose 3*y - 1153 = -2*g, -2*g - 2*g = 2*y - 2326. Calculate the common denominator of (-2*1)/((-32)/g) and -81/44. 44 Let y = 5 + -1. Let i(w) = -3*w + 121. Calculate the least common multiple of i(38) and y. 28 Let q = -7/3 + 41/6. What is the common denominator of q and (-1320)/280 + (2 - (-1 + 0))? 14 Let c(s) = -s**2 + 16*s - 10. Let g be c(15). Suppose -3*n - 42 = -5*d, -g*n - 20 = -0*n. Suppose d*u - 1 = -7. Calculate the common denominator of 59/12 and u. 12 Suppose 6*o + 898 - 64 = 0. Let j = 11945/86 + o. Calculate the common denominator of 3/22 and j. 946 Let o be (2/(-944))/(68/24 + -3). Let a = -1017/59 - o. Let m = 54/11 - 765/176. Calculate the common denominator of a and m. 16 Let x = -874 + 340. Let i = 8609/16 + x. Calculate the common denominator of i and (-325)/180*(-44)/10. 144 Let d(z) = 4*z - 10. Let y be d(3). Calculate the common denominator of (20/(-24))/(-1) - (y - -1) and ((-1)/12)/((-1)/47). 12 Let a(m) = -m**3 - 6*m**2 - 3*m - 3. Let t = 2764 - 2755. What is the lowest common multiple of a(-6) and t? 45 Let t(q) = 2*q**3 + 19*q**2 + 16*q + 21. Suppose -2*h = -5*h - 3*k + 39, 3*h - 4*k = 18. Calculate the smallest common multiple of h and t(-7). 770 Let r = 55747/6 + -9000. Let b = 9478/33 - r. Find the common denominator of b and 81/10. 110 Calculate the common denominator of (-48)/5 + 7*8/56 and -81/4. 20 Suppose -18*f + 604 = 118. What is the lowest common multiple of f and 22? 594 Let d = -567 - -575. Calculate the lowest common multiple of d and 52. 104 Let z = 13 - 16. Find the common denominator of (z/48)/((-4)/40) and 24/5. 40 Let f = -4417/2 - -2168. Let v = -34 - f. What is the common denominator of -31/9 and v? 18 Let w = -117 - -228. Let z = 653 + w. Let k = -5365/7 + z. Find the common denominator of 93/4 and k. 28 Suppose q - 5*p = -2*p - 1, -2*q + 38 = 2*p. What is the common denominator of q/49 + (-353)/35 and -37/4? 20 Suppose 5*p - 2*b - 7 = -3*b, 4 = -4*p - 4*b. Let h(i) = 30*i. Calculate the lowest common multiple of 6 and h(p). 60 Calculate the common denominator of 27 - 30 - (-1322)/408 and 79/6. 204 Let c = -41249/14973 - 5/713. Find the common denominator of 113/6 and c. 42 Calculate the least common multiple of (-108)/(-12) + (-10 - -5) and (-8)/5*15/(-2). 12 Let x = -2602/143 + 220/13. Find the common denominator of x and 25/9. 99 Suppose 2*w - 2*l = 4, -3*w - 2*l + 13 = 2*l. Suppose 3*y - 51 = w. What is the lowest common multiple of 18 and y? 18 Suppose 0 = 2*g - 0*g. Let f(y) = y**3 - y**2 + 6. Suppose -5*q = 3*d + 6, 0 = -2*d - 16*q + 14*q. What is the smallest common multiple of d and f(g)? 6 Let p = 7 + -4. Find the common denominator of (-106)/8 + (-12)/(-3) and (-2)/(-8) + 25/p. 12 Let z = -52 + 34. Let k = -17 - z. Let r(l) = 8*l**2 - l - 1. What is the smallest common multiple of r(k) and 20? 60 Let t = 3/15179 + -956391/576802. What is the common denominator of -29/20 and t? 380 Find the common denominator of 3/(1980/(-318)) + 1 and 73/30. 330 Suppose -5 - 1 = -b. Calculate the common denominator of 58/9 and 211/135 + b/15. 27 Let v = -6797/6 + 1117. Let q = -1940837901947/3064 + 633432745. Let k = q - 1/383. What is the common denominator of v and k? 24 Let b(v) = -5*v + 2*v + 3*v + 2*v**3 - v - 2*v**2. Let p be b(2). Calculate the lowest common multiple of (-8)/3*(-27)/p and 18. 36 Let q be (16/40)/(348/(-15823)). Let f = -3/145 - q. What is the common denominator of -19/10 and f? 30 Suppose 2*r - 6*r = -12. Suppose r*l + 4*b = 43, 0 = -2*l - 3*l + 2*b + 37. What is the smallest common multiple of l and 7? 63 Suppose -4*z + 69 = 2*m - 9*z, 0 = -5*m - 2*z + 100. Let l = 3 + 3. What is the smallest common multiple of l and m? 66 Let u = 3/80 + 647/880. Let s = u + 971/110. Find the common denominator of 3/14*693/(-12) and s. 40 What is the common denominator of -83/12 and (-12)/10 + 2597/210? 12 Let y = 65535/14 - 4675. Let s = 291984 - 57812957/198. What is the common denominator of s and y? 1386 Let d(h) = -h**2 - 7*h - 4. Let p be d(-9). What is the common denominator of -4 + (-3 - 57/p) and (21/2)/(9/(-21))? 22 Let l = -3162/275
{ "pile_set_name": "DM Mathematics" }
03.5. What is the nearest to 0 in 4, l, c? l Suppose -43*z + 46*z - u + 10 = 0, -4*z - 9*u + 28 = 0. Let a = -1.2 - -0.2. What is the nearest to a in 0.3, z, 0.1? z Suppose 3*r - 2*i - 3*i = -118, -3*i = 4*r + 138. Let l be ((-12)/r)/(0 + -1). Which is the closest to l? (a) 3/5 (b) -0.6 (c) 0 b Let s = 247/20 - 58/5. What is the nearest to 15/11 in 2, 0, -2/3, s? s Let u = -0.029 - 30.971. Let n = -31.05 - u. Let p = 0.01 - n. Which is the closest to 1? (a) -1/3 (b) -4 (c) p c Let u = -4 + -1. Suppose 0 = -5*y - 5*s - 25, -4*y = -2*s - 0 + 2. Let m = -0.06 + -2.94. What is the closest to -2 in u, m, y? y Let g = -1.9 + 1.4. Let m be 1/(-2) + (-9)/(-6). Let n be -1*34/10 - -3. What is the nearest to m in n, -3, g? n Let m be ((-30)/21)/((-10)/(-5)). Let t = 1/21 + m. Which is the nearest to 2? (a) 4 (b) t (c) -2/5 a Suppose 0*i + 2*p - 96 = 4*i, 96 = -4*i + 5*p. Let k be 3/i*-4 - -1. Which is the nearest to -0.1? (a) k (b) -0.07 (c) -0.3 b Let k = -9.73 + 10.03. What is the nearest to -2/3 in -1/4, k, -2/9, 0.5? -1/4 Let z = -0.21 + -0.09. Let q = 0.87 + -0.67. What is the closest to -0.1 in z, q, 3/2? z Let y be 298/1036 - ((-44)/(-8) + -5). Let r = y - 8/37. What is the closest to 0 in r, -3, 1/5? 1/5 Let q = -86 - -128. Let w be -4 + 153/q - 3/(-6). Which is the nearest to -1/6? (a) 0 (b) -3 (c) w a Let f = -59 - -1063/18. Let x = -14/9 + f. What is the closest to -1 in 3, x, 2/11? x Let w = 0.0406 + -0.3406. Which is the nearest to 0.2? (a) 1.5 (b) 0.3 (c) w (d) -0.5 b Let v = 379.3 + -379. Let k = 11 - 6. Which is the closest to -11? (a) v (b) -0.5 (c) k b Suppose v + v = v. Let z be v + -2*(-2)/(-14). Which is the nearest to -0.1? (a) 4 (b) z (c) -3 b Let i = 368 + -367.5. Which is the nearest to 39? (a) i (b) 4 (c) -0.4 b Let s = -55 - -59. Let u = 4 + -3. Let z = -1.52 - -3.52. Which is the nearest to u? (a) z (b) s (c) 0.5 c Let y = -284 + 287. What is the closest to -5 in 0, -2, -4, y? -4 Let k(r) = 4*r**2 + 11*r**2 - 87*r**3 - 6*r + 86*r**3 - 7*r - 16. Let j be k(14). What is the nearest to 0.1 in 2, 1/5, j? 1/5 Let x = -0.06 - -1.06. Let g = -0.07 + -4.93. Let w = -0.1315 - -0.6315. What is the nearest to x in g, 0, w? w Let z be -26 - (-4 + 2 - -4). Let t be z/77*(-2)/(-4). Let h = 666 + -662. What is the closest to 0.3 in t, h, -0.1? -0.1 Let p = -383 + 387. Suppose -5*y - 10 = 10. Which is the closest to 1? (a) -1/2 (b) p (c) y a Let w be (48/8)/((-15)/(-2)). Let o = 16 + -14. Let g(s) = -s + 1. Let h be g(o). Which is the closest to h? (a) w (b) -2/5 (c) -4 b Let s be ((-9)/(-126))/((-1)/4). Let x be (-11)/22 - (-15)/14. What is the closest to s in -2, 8, x? x Let m = -3.2 + 0.8. Let h = m + 2.6. What is the nearest to 0.2 in -2/3, -5, h? h Let v be 2/8*(64/(-24))/4. Which is the closest to -1? (a) v (b) 0.04 (c) -3 a Let o be 12/(-66) + -1 + 1. Which is the closest to 0.1? (a) 4 (b) 4/5 (c) -3 (d) o d Let c be (8/(-48)*-3)/(10/(-4)). What is the closest to 11 in -5, 1, -3/5, c? 1 Let r = 13.22 + -14.219. Let g = r - 0.001. What is the nearest to -1/3 in 0.5, g, 5? g Let i = 1862 + -1859. What is the nearest to 6 in 0.3, i, -1, 2.3? i Let o = 8.43 - -0.57. Let y = 9 - o. Which is the nearest to y? (a) -4 (b) 3 (c) -5 b Let s = -5183923/150 - -34560. Let u = s - 1/75. What is the nearest to u in -1/10, -4, 0.3? 0.3 Let v = 0.3 - -0.1. Suppose -9 = 3*z + 3*h, z - 4*h - 15 = 6*z. Let j be -2 - ((-33)/6 - z). What is the nearest to 1 in j, -2, v? j Let q = 0.05 - 5.05. Suppose 15*h - 13*h + 2*i + 42 = 0, 5*h - 2*i + 84 = 0. Let n be 12/27*(2 - h/(-12)). Which is the nearest to 2/7? (a) q (b) 1 (c) n c Let w = 0 + 5. Let i be (16 + -17)/((-2)/(-10)). What is the nearest to 2/7 in i, w, -0.2? -0.2 Let q be (0 - -6)*(-1)/(-4). Suppose 0*b + 2 = -b. What is the closest to 2/15 in q, -0.4, b? -0.4 Let p be 225/6*(-8)/(-10). Let z = 113 - 143. Let s be (-8)/p - (-10)/z. Which is the closest to -0.1? (a) s (b) 4/5 (c) -2/5 c Let u be (-12)/(-42) - (82/42 - 2). What is the closest to -2/5 in u, -0.11, 0.1? -0.11 Let y = -13.4 - -8.4. What is the nearest to 1/4 in 4, 5/2, y, 0.2? 0.2 Let q = 48 + -32. Let z = 0.2068 + -0.1068. Which is the closest to z? (a) -3 (b) 0 (c) q b Let p = 132 + -131.5. Which is the nearest to -2/3? (a) p (b) -2/11 (c) -2/13 b Let g = -641 - -635. Which is the nearest to -1? (a) 2 (b) -1 (c) g b Let j(i) = i**2 + 4*i - 19. Let g be j(-7). Let u = g - 3. Which is the closest to u? (a) -5 (b) 1/2 (c) -1 c Let p be (-2)/13 - 353576/(-260780). Let l = p - 2/1003. Let k = 13 - 18. Which is the closest to -1? (a) k (b) l (c) 3/4 c Let s = -5.2129 - -0.2129. Let g = 0.01 - -1.99. Which is the nearest to 1? (a) g (b) s (c) -0.3 a Let o = 154.4 - 154.2. What is the closest to -3 in 5, o, -5? -5 Suppose f - 1 = 7*o + 17, -3*o - 4*f = 21. What is the closest to -0.2 in 1, 1/92, o, -2? 1/92 Let u = 0.1 - 0.2. Let l = u + 0.1. Let i = -407 - -411. What is the closest to l in -0.1, -0.3, i? -0.1 Let x = 8.51 - 8.9. Let o = x + 0.29. Let s = 173/70 - -1/35. Which is the closest to o? (a) s (b) -0.5 (c) 1 b Let h = 81 - 76. Let r be 7/14*(h - -1). Let p be 12/(-22) - 0/(-1). Which is the nearest to -0.2? (a) r (b) p (c) -4 b Let d = 565.11 + -565. What is the nearest to 1 in 8, d, 0? d Let r = -553 + 552.6. Let u = 0.04 + 0.96. Which is the closest to 1? (a) 1/9 (b) u (c) r b Let f = 4.3 + -4.2. Let j be 46/23*(-2)/(-14). Which is the nearest to j? (a) 0 (b) f (c) 1/6 c Let t be (132/16 + -6)*(-4)/(-18). Which is the nearest to -0.06? (a) -1 (b) 4 (c) t (d) -0.2 d Let j(v) = -v. Let s be j(-1). Let m = 17 - 45. Let w = m - -27. Which is the closest to s? (a) 5 (b) -1/4 (c) w b Let p = 2 + -6. Let o be 2/7 - 4/14. Let s = -154 - -152. Which is the closest to o? (a) -0.2 (b) s (c) p a Let b = 1 - 2. Let r = 0.087 - -0.013. What is the closest to b in 2/7, -0.5, r? -0.5 Suppose -5*z + u - 79 = -502, 4*u = -3*z + 240. Let f = z + -165/2. Let h = 3/7 + -41/63. What is the closest to f in -3/5, -0.3, h? h Let p = -2.08 - -1.78. What is the closest to -1 in 2.4, 5, -5, p? p Let f = -73 + 68. Let l be 1/(-12)*(-16)/10*-3. What is the closest to l in -3, f, -0.5? -0.5 Let t = -1611 - -1610. Let z(q) = q**2 - 1. Let f be z(0). Which is the closest to t? (a) 0.4 (b) 3 (c) f c Let f = -291.51 + 291.91. Let m be 8/6*(-1 + -2). Which is the closest to 0? (a) f (b) -2/17 (c) m b Let s be (-1)/(-2) - (-1)/(-4). Let u = -7022 + 7021.4. Which is the closest to s? (a) -0.2 (b) 5 (c) u a Let c(m) = -m**2 - 20*m - 18. Let i be c(-20). Let p = -55/3 - i. Let n = 0.7 + -1. What is the nearest to n in -0.3, -0.2, p? -0.3 Suppose 2*t + 5*h = -10, -45*h = -3*t - 41*h + 8. Let k = -1.4 - -1.4. Let u = 2/903 - -1784/9933. Which is the closest to t? (a) -5 (b) u (c) k c Let r = 7.2 - 8.2. Let k = 0.08 + 2.92. Which is the closest to -0.2? (a) 2/5 (b) r (c) k a Let n be (-1)/(4/16 - 0). Let t be (-2 - (n - -4))*3/12. Which is the closest to -1? (a) -2/13 (b) 1 (c) t c Let t = -6.8 + 7.8. Which is the nearest to t? (a) 34 (b) 5 (c) 0.3 c Let x = -18.2 - -25. Let t = -7.8 + x. What is the closest to t in 1/8, 3, -2/5? -2/5 Let m = -2599/2 - -1225. Let w = 75 + m. What is the closest to 1/3 in 0.1, -2, w? w Let n = -267.7 - -268. What is the nearest to -1/8 in -4, 4, 2, n? n Let p = 0.051 + 3.949. Which is the nearest to -0.4? (a) p (b) -0.5 (c) -1 b Let l = 0.28 + 0.02. Let w = 3 - 4. Let i(q) = -q**3 - 23*q**2 + 47*q - 72. Let f be i(-25). Which is the closest to w? (a) l (b) -4 (c) f a Let i = -6 - -6.4. Let y = -1.811 + -0.189. What is the closest to y in -3, 2/11, i? -3 Let a = 0.53 - -25.47. Let w = -21 + a. Let b be (2/(-3))/(13/(-3)). What is the closest to -0.1 in -2/9, w, b? -2/9 Let u be ((-4)/12)/(143/66). What is the nearest to -1 in 0, 3/2, 2/17, u? u Let g = 0.2 - 0. Let l = -55 + 50. Let q be 1/(-3) + 1 + (l - -4). Which is the nearest to -1/4? (a) -2 (b) g (c) q c Let y = -1.232 + 2.232. Let j(i) = i**3 + 6*i**2 - 4. Let f be j(-6). What is the nearest to 2 in -5, y, f? y Let w be 1 + -2 + 0 + 9/7. Which is the closest to 2/3? (a) 3/2 (b) -2/9 (c) w c Let t = -3.9 - -4. Suppose 4*p + 2*d + 0*d = 10, 2*d = -2*p. Let f b
{ "pile_set_name": "DM Mathematics" }
(-2)))/(-1). Let m = 3 - o. Solve -18 = 3*y + m*c, c - 3*c = 3*y + 13 for y. -1 Let m(l) = l**3 + 2*l**2 - 6*l - 1. Let v be m(2). Suppose 15 = 5*d - 0*d. Solve -2*f + p = 3, d*f = -v*p - 2*p - 11 for f. -2 Let x = -4 - -3. Let r = x + -29. Let s = r - -45. Solve 3*i - 5*z = s, -2*i - i + 15 = 5*z for i. 5 Let p(o) = -o**3 - 7*o**2 + o - 5. Let f be p(-7). Let g = f - -12. Solve -t - 3*k + 15 = g, -4*t = -0*k + k - 5 for t. 0 Let j = -3 - -13. Solve m = -z - 4, -27 = 3*z - 2*m - j for z. -5 Suppose 5*c - 30 = -3*b - 2, -4*c - 2*b + 22 = 0. Solve 5 = -5*t + c*i - i, 5*i = -t - 30 for t. -5 Let i = 5 + -3. Let g be (-3)/9 - (-10)/3. Suppose 3*l = -5*c + 39, -l - g*l = 3*c - 30. Solve -i*m + 18 = -4*h, 3*m - h + 17 = -c*h for m. 1 Let m be (-1)/(-2) + 58/4. Suppose -8*k - 12 = -12*k. Suppose k*t + j + j = 10, 3*t + m = 3*j. Solve y - 2*q + 4*q - 11 = t, -5*y + 10 = -5*q for y. 5 Suppose -3*h - h = -20. Solve s - a = 1, 0*s = 2*s + a - h for s. 2 Let v be (-48)/264 + 92/22. Solve 0 = 3*z + 2*z - v*a - 5, -z - 3*a = 18 for z. -3 Let l = 2 + 2. Solve 5*s + 5*q - 16 = 6*q, -l = -s + q for s. 3 Suppose -3*i = -5*i + 8. Solve -i*y = 2*s - 22, 5*y = -4*s + 54 - 19 for y. 3 Let c = 23 + -19. Solve 3*u + 0*u + 35 = -5*g, -c*g = -5*u - 9 for u. -5 Let p = -5 - -8. Let c = 6 - p. Suppose 2*v - 3*v + 8 = 0. Solve -c*b - 5*s - 8 = 0, b + 4*s - s + v = 0 for b. 4 Let a be ((-12)/15)/((-4)/100). Suppose 6*z + a = 11*z. Solve 0 = 4*h + 3*x - 10, -z*h + 0*x - x + 14 = 0 for h. 4 Let b(a) = -a + 11. Let m be b(8). Solve -5*p = -m*f, 0 = 4*f + f - p for f. 0 Let m(h) = h**3 + 2*h**2 - 6*h - 3. Let y be m(-3). Solve -4*f + 11 = 3*s, -1 = 2*f - y*s + s for f. 2 Suppose -j - 4*n - 15 = 0, 2*j = 5*j - 5*n - 40. Solve -2*c - 5*z - j = 0, -6 + 19 = 2*c - z for c. 5 Let p = 40 - 40. Solve p*v - 4*i - 37 = -5*v, -3*i + 11 = 4*v for v. 5 Suppose 0 = 3*a - l - 0*l - 10, -5*a - l + 14 = 0. Solve -5*q + a*s = -12, 5*q + 5 = 5*s + 25 for q. 0 Let b(q) = 7*q - 6. Let i be b(5). Solve 2*t - 5*z = i, 2*z - 2 = 4*t + 4*z for t. 2 Suppose -2*y - 11 = -31. Suppose 4*u - 2 + 31 = -k, 0 = -k - 1. Let j = y + u. Solve f - j = -g + 1, f = -5*g + 16 for g. 3 Suppose -7*r + 2*r - 30 = -4*x, -r - 2 = 0. Solve -20 = -3*y + 5*l, -x*l = -3*y - y + 20 for y. 0 Let t(z) = z - 2. Let d be 4 + (0 + 0)/(-2). Let s be d*((-50)/8)/(-5). Let y be t(s). Solve 2*c + 5*q + 6 = -y, -3 = 4*c - 5*q for c. -2 Suppose 0 = -4*j + 28 - 8. Suppose -f + 2*x = -0*x - 10, 35 = 5*f - j*x. Suppose 0 = 7*r - f*r - 48. Solve -5*s - r = 2*z + 14, -5*s = -4*z for s. -4 Let f be 1 + 0 - (-2)/2. Suppose 0 = -q - q. Suppose j - 2 = -2*c, q*c - 2*c = 0. Solve -5*h = f*l - 3*h - j, h + 5 = 5*l for l. 1 Let a = 8 + -6. Suppose -3*p + 10 + a = 0. Solve p*m + 3 = 3*y - 7, 0 = -2*m - 3*y + 4 for m. -1 Let n = 37 + -16. Solve -2 = -2*x, 4*j - n = -0*x - x for j. 5 Suppose 8 = -l - 2*o, 4 = 3*l - o - 7. Let u be (-164)/(-10) - 1 - (-18)/(-45). Solve -5*t + u = -l*r, r + 1 + 2 = -2*t for t. 1 Suppose 3*r = 4*d - 0*d - 17, 3*d = 5*r + 10. Let v be 2*(-2 - (2 - 7)). Suppose 4*b - v = b. Solve -5*j - r = -o, -2*j - 5*o = -3 - b for j. 0 Let z(g) = g**3 - 8*g**2 + 8*g - 2. Let d be z(7). Solve d*r - 3*p = -15, 0 = -3*r - 7*p + 2*p - 9 for r. -3 Suppose -s - 4*t = -15, -s - 5*t + 3 = -15. Solve 2*z - 5*n = 26, 3*n = s*z + n - 17 for z. 3 Suppose u - 22 = -5*o, 5*u + 5 + 0 = -2*o. Solve 4*w - 2*y - 14 = 6*w, -o*w = -3*y + 3 for w. -3 Let l = 9 + -7. Solve -4*m = -m - 9, z - m = -l for z. 1 Let m be 18/30 - (-2)/5. Let p be (37 + m)/(2/1). Solve 5 - p = 5*u + d, 3*u = 4*d + 10 for u. -2 Suppose 3*n = 2*l - l + 25, 2*n - 2 = -3*l. Let u = -2 + n. Solve 3*g = 4*w + 23, -3*g + 7 = -w + u*w for g. 5 Let v be (-2)/5 + (-2)/(-5). Suppose 0 = -0*y - 7*y. Solve 4*l - c - 7 = y, -l - 3*c + 5 = -v*l for l. 2 Suppose -87 = -4*p - 5*x, 4*p - 89 = -2*x - x. Solve 0*a - 3*a + 2*m = p, -4*a = -4*m + 36 for a. -5 Suppose 2*j = -26 + 2. Let a be (-4)/(-3)*j/(-8). Solve 5*c - 3*x = -5*x - 16, 3*x - 14 = a*c for c. -4 Suppose 0 = 3*k - k - 6. Solve -2*d - 4*x - 8 = 0, d + k*x + 1 = 4*x for d. -2 Let d(z) = -z**2 + 4*z + 11. Let y be d(6). Let b be 1 + 3 + -3 + y. Solve b*q + 4*q = 5*a + 40, 4*a - q + 21 = 0 for a. -4 Let c = -11 + 13. Suppose 0 = -0*s - 4*s. Solve 3*a + 3*f - c + 8 = 0, s = 4*f + 20 for a. 3 Let v(t) = 4*t - 10. Let o be v(6). Solve -5*r - o = q - 3*r, -q + r + 1 = 0 for q. -4 Let f(h) = h**2. Let u be f(-1). Suppose 2*a - 5 = a. Suppose -a*t + 14 = -u. Solve 5 = 4*p + i + 6, 0 = -p - t*i + 8 for p. -1 Let w(z) = -z**3 - 10*z**2 + 2. Let o be w(-10). Let k(c) = c - c - c**2 + o. Let g be k(0). Solve 0*q - 4 = 3*q + j, q = g*j + 8 for q. 0 Let m be (-3)/7 - (-90)/14. Let j = m - 1. Solve -3*y = 4*n + 11, 0 = -3*n + j*y - 24 - 6 for n. -5 Suppose 2*a = -3*d + 20, -d - 10 = 4*a - 0*a. Solve -d = 2*v, 2*l + v - 7 = -2*l for l. 3 Let h be ((-16)/(-28))/(2/7). Solve -6 = 3*a + 3*c, 3 - h = 3*a - 4*c for a. -1 Suppose 17 = 4*a - 3*a + 4*d, -3*a + 5*d = 0. Solve 0*u - 19 = n + 3*u, -3*u + 5 = -a*n for n. -4 Let y(l) = l**3 + 6*l**2 + l + 6. Let a be y(-6). Suppose -4*r + 3*z + 11 = a, -3*z = 3*r - 5*z - 9. Solve 3*d + 13 = -2*n, -d + r*d = 2*n - 22 for d. -5 Let s(a) = -31*a + 1. Let f be s(-5). Suppose -5*v - 3*k + 31 = -156, 4*v = 4*k + f. Solve -b - 28 = -5*h, 4*h = 2*b + v - 12 for b. -3 Suppose -r + 2*b + 6 = 4*b, 5*b = -10. Let t = 7 - 6. Let o = 6 - t. Solve 0 = 5*w + o*j - 45, -3*w - 3 = -5*j + r for w. 4 Suppose 7*i - 4*i = -156. Let h be 2/5 - i/20. Solve -5*j + 3*t = 37, h*j + t + 3*t = 1 for j. -5 Let u(q) = q**2 - 2*q + 7. Let r be u(5). Let w = r - 9. Solve 5*m = 4*j - 41, 5*m + 0*m + 3*j + w = 0 for m. -5 Let q = -28 - -28. Solve -y - 5 = s - 4*s, q = 5*s + 2*y - 23 for s. 3 Suppose -5*r = -p - 22, -10 = -p - 5*r + 18. Solve 3*l + 2*v - p = -11, 10 = 5*v for l. -4 Let l = 1 + 1. Suppose -6*t + 8 = -l*t. Let d = t + 1. Solve 2*o + 4*v = -14, -2*o = d*v + 6 + 4 for o. 1 Let p = 41 - 48. Suppose 0 = -4*n + 16, -2*h - 4*n - 3 = -1. Let r = p - h. Solve -4*y - 4 = 2*t, -2*t - r = -5*y - t for y. 0 Suppose -y + 20 = -0*y. Let r be y/3 + 1/3. Solve -4*z = 8, -5*z - 2 = -5*d - r for d. -3 Suppose -4*i + 8 = -2*i, 5*j - 26 = -4*i. Let f = 2 - j. Solve 2*d + d - 4*y - 8 = 0, 4*d - y - 15 = f for d. 4 Let n = 7 + -6. Suppose -3*x + 6*x = 3. Suppose -x - 3 = -o. Solve o*z = f + 9 - n, 0 = -2*z + 6 for f. 4 Let l(y) be the third derivative of -y**5/60 + y**4/4 - 2*y**3/3 + 2*y**2. Let u be l(4). Solve 0 - 3 = -f - t, 3*f = u*t + 9 for f. 3 Let q be 0/2 - -1*12. Solve -2*a + 0*a = -3*x - q, -2*x - 8 = 5*a for a. 0 Let h be (3 - 7)/(2*(-2)/16). Solve -5*d - 12 = -d, 2*o - h = 4*d for o. 2 Let h = 11 - 7. Let j be h/(-18) - 40/(-18). Suppose -3*l + 4 = -j*l. Solve -3*w = -4*x - 5, x + 2*w + 35 = -l*x for x. -5 Let k(l) = -l**2 + 7*l - 3. Let p be k(8). Let s be (p + 2)*(-6)/18. Solve 5*a - 3*h = 12 + 1, 4*a - 32 = -s*h for a. 5 Suppose -2*h - h = f, h = 4*f + 13. Suppose 2*v + 3*c - h = 0, v + 3 = -2*c + 2. Solve -v*n + 3*t + 11 = 0, 2*n - 3*t - 7 = n for n. 1 Suppose 0 = -o - 2*x + 2 + 9, o = -4*x + 1. Let m = o + -36. Let g be (-2)/10 + (-3)/m. Solve g = t - 4*s - 17, t = 6*t - 2*s - 13 for t. 1 Let m = 9 - -1. Solve 4*x = -2*l + 6*l + 24, m = x - 2*l for x. 2 Let h be (3/2)/(2/4). Let t(k) = k**3 - 3*k**2 + 3. Let w be t(h). Solve -w*z = -3*s - 9, 5*z - 2*s = -5*s + 23 for z. 4 Suppose -d + 2 = -3. Let w be d - (2/2 + 1). Let j = w - -2. Solve 0 = -j*f + 5, -f = -0*i + i - 2 for i. 1 Let u be (4 - 1)/(-1 - -2). Solve d = -4, u*f + 2*d = 7*f for f. -2 Let o be (-2 - -4) + 1 + -3. Suppose o = -5*j + 2*j + 6. Solve 4*a + 3*i = 2*a - 4, j*a + i + 4 = 0 for a. -2 Suppose -5*z + m - 5*m + 85 = 0, z - 4*m + 7 = 0. Let l be (-2)/z - (-84)/39. Solve -l = -r - 0, 5*r = -3*x + 4 for x. -2 Let n be 1/((-1)/(-14)) + 1. Let b(c) = -c - 9. Let g be b(-8). Let u = 5 + g. Solve 0 = u*t - 5*o - n, 3*t + 2*o - 22 = -t for t. 5 Suppose 0 = 2*a + 5*g - 26, 4*g - 47 = -5*a + 1. Let m = 23 - a. Solve -2*s - 3 = -5*u + m, 10 = -2*s + 3*u for s. 1 Suppose 0 = v - 2*v + 2. Suppose 0 = -2*x + x + v. Solve 0 = g + 3*z + 7, -5*g + 22 = -x*z - 11 for g. 5 Let r be 1/(-2)*1*0. Suppose -6*k + k = -30. Solve a - 4*x = -2*a + 14, r = -a + 2*x + k for a. 2 Let c be 1/(1*(-2)/(
{ "pile_set_name": "DM Mathematics" }
to 1? (a) 393 (b) -5 (c) 4 (d) -4 c What is the nearest to -0.17 in 0.1, 2/13, 3, -23, 173? 0.1 Which is the nearest to -0.106? (a) 1/3 (b) -5 (c) -0.2 (d) -3 c Which is the closest to 10/81? (a) -10 (b) -0.03 (c) -3 b What is the nearest to -34 in 2.8, -1, 0.2, 4? -1 Which is the closest to 4? (a) 4 (b) -3 (c) -5/6 (d) 2 a What is the closest to -12558/11 in -92, -1, 0.5? -92 Which is the closest to -0.6? (a) 0 (b) -1 (c) 0.12 (d) 222 b What is the nearest to -2.4 in 0, -4, 1626.2? -4 Which is the closest to 0? (a) -0.4 (b) 1/18 (c) 5/2138 c Which is the nearest to -13? (a) 3 (b) -4 (c) 5 (d) -2 (e) -1/3 b What is the closest to -2/7 in 1/2, 0, 1.04, -0.5, 4/5? -0.5 What is the closest to -2 in 4, -2/5, 0.15, 2/7? -2/5 What is the nearest to -1 in -0.12, 210/61, 0.5? -0.12 What is the closest to -0.3 in 0.02142, 3/13, -2, -1/5? -1/5 Which is the closest to 2/9? (a) 2/15 (b) 2.9 (c) -1261 (d) 0.4 a Which is the nearest to -1? (a) -5 (b) 57 (c) 1 (d) -3/10 d Which is the nearest to 0.1? (a) -0.5 (b) -0.06 (c) -5 b What is the closest to -2/9 in -2383, 1, 3/5, 2.8? 3/5 What is the nearest to -1 in 0.5, -1/2, -5, -145? -1/2 What is the nearest to 1978 in -7, 3, 10? 10 What is the nearest to -61 in -28, 2/5, -0.2? -28 Which is the nearest to -0.1? (a) -0.2 (b) 2/515 (c) -7 a Which is the closest to -2? (a) 0.231 (b) 13 (c) -0.5 c Which is the nearest to 1? (a) -67 (b) 7 (c) 2 (d) 4 (e) -0.4 c What is the nearest to 1 in -1, 14.7, -0.087, 0.01? 0.01 What is the nearest to 27846 in -0.1, -2/5, -4/5? -0.1 Which is the closest to 0? (a) 14 (b) -10 (c) -8/7 c Which is the closest to -3? (a) -3 (b) -12 (c) 0.012422 a What is the nearest to 1/2 in -1.6, 47, -4/11, 0, -1/3? 0 What is the closest to -5 in -0.5, 47, -486? -0.5 What is the closest to -125 in -3, 2/9, -1/4? -3 What is the closest to -1 in -0.3, -3, -23/2, 2, -1? -1 What is the nearest to -1776 in -1/2, 1/14, -5? -5 Which is the nearest to 91/12? (a) 5 (b) 0.5 (c) 0 (d) 0.4 a Which is the nearest to 4/23? (a) -2.3 (b) -2 (c) -1 (d) -171 c What is the nearest to 30 in -0.01, 18, 4? 18 Which is the closest to 2209? (a) -0.2 (b) -1 (c) -0.4 a What is the nearest to 0 in 2, -0.4, -950? -0.4 What is the nearest to 1544 in 0, 1, -1/8, -2, -0.4? 1 What is the closest to -38095 in -1, 1, 0.3? -1 Which is the closest to -1? (a) -2 (b) -735 (c) 4 (d) -0.1 d Which is the closest to -1? (a) 1 (b) -0.175 (c) 3/10 (d) -7 b What is the closest to 3 in 180, -2/3, 500? -2/3 Which is the nearest to 0.1? (a) 7 (b) -10 (c) 0.058 c Which is the nearest to -1/2? (a) 3/4 (b) -103.2 (c) -10 (d) -0.2 d What is the nearest to 162 in -0.08, -4, 7? 7 Which is the nearest to -14? (a) 2.656 (b) 4 (c) 0.3 c Which is the closest to 2? (a) 4/1709 (b) -2 (c) 1 c Which is the closest to 8? (a) 0.1 (b) 0.01 (c) -5 (d) 5 d What is the closest to 12 in 2, 5, -1, 0? 5 What is the closest to -0.6 in 22, 0.2, -4/7, 3, 0.5? -4/7 What is the nearest to 330 in -3, 0.1, 0.2? 0.2 Which is the nearest to -82.1? (a) 22 (b) 6/13 (c) -2 c Which is the nearest to 0.54? (a) -9 (b) -1/44 (c) -3 b Which is the closest to -0.3? (a) 0.3 (b) 5 (c) -53 (d) 135 a Which is the closest to 1/4? (a) 6 (b) 15 (c) 3 (d) -2.3 d What is the nearest to 7/10 in 3/2, 2/23, 0.3, -0.06, 3/8? 3/8 Which is the nearest to 1? (a) 5 (b) -1525 (c) -0.2 (d) 0.1 d What is the nearest to -4 in -2/17, 5, -1/2, -0.7, 0.09? -0.7 Which is the closest to -14/3? (a) -3 (b) 0.06 (c) 0.3 a What is the closest to -1/2 in -0.1, -0.2, 463.03? -0.2 Which is the nearest to -0.2? (a) 14 (b) 3/4 (c) -0.2 (d) -143 (e) 2 c What is the closest to -0.1 in -7, 32, -3, 3, -5? -3 What is the closest to 3 in -1/9, 7/1111, -1? 7/1111 Which is the closest to -80? (a) -0.2 (b) -1/19 (c) -2/5 (d) -6/11 d What is the closest to -1/4 in 9.1, -1/10, 0, -36? -1/10 Which is the closest to 0.1? (a) 0.1 (b) 1/21 (c) 11 (d) -1 a What is the closest to 0.1 in -0.4, -3.01, 2/11, 2/9? 2/11 What is the closest to 3 in 2/13, 90, 9, 2/23, 0.5? 0.5 Which is the closest to 17.83? (a) -1.1 (b) -1 (c) 1 c What is the closest to 0 in 6/5, -55, -29? 6/5 What is the nearest to 0 in 52.2, 2, -0.5, 1/4, 2/47? 2/47 Which is the nearest to -2/21? (a) 82/25 (b) 0.27 (c) -2/5 (d) -4 c Which is the nearest to -0.2? (a) 4 (b) -37 (c) 3/7 (d) 0.309 d What is the closest to 27 in 1/4, 10/11, 4, 0.4, -3? 4 What is the closest to -0.4 in -0.629, 0, -25? -0.629 Which is the closest to -14? (a) 5 (b) -52 (c) -26 (d) -4/3 (e) 2/9 c What is the closest to -21/4 in -1, -1/104, 1? -1 Which is the nearest to -2/3? (a) -0.3 (b) -6/13 (c) 3 (d) -1.19 (e) -1/3 b What is the closest to -4 in -0.5, 0, 0.2, -5/52, -2/3? -2/3 What is the closest to -1490 in -2/5, -539, 2/15? -539 What is the nearest to 0.1 in 5, -0.3, 0.4, -2, -1092? 0.4 Which is the closest to 9? (a) -1/3 (b) -4986 (c) 2/3 (d) -2 c What is the closest to 1 in 0.5, 1.32, 22/9? 1.32 Which is the closest to -131? (a) -1583 (b) -0.3 (c) 4 b Which is the closest to 6/13? (a) 8/11 (b) 0.61 (c) 0.3 b Which is the nearest to 2/5? (a) 1/46 (b) 1 (c) -35/72 (d) 0 a Which is the closest to -4/17? (a) 1/15 (b) 3 (c) -0.5 c What is the closest to -2/5 in 2, 0.03, -2/47, -34, -0.2? -0.2 Which is the nearest to 1? (a) 2/5 (b) 0.01 (c) 0.05 (d) 147 (e) -0.2 a Which is the closest to 2/7? (a) 1/3 (b) -2 (c) -1/2 (d) -1172 (e) -0.04 a Which is the nearest to 149? (a) -0.1 (b) 0.3 (c) 5 (d) -3 c Which is the nearest to -22? (a) 0.09 (b) -0.33 (c) -3 (d) -1/4 (e) -0.2 c What is the closest to -2/7 in 2/17, 2, -0.5, 2851/11? -0.5 What is the closest to 2/5 in -36, 9, -1, -2/7? -2/7 Which is the closest to 4/31? (a) -0.55 (b) 0 (c) 0.1 (d) -2/3 c What is the closest to 1 in -0.3, -11, -0.16, 16? -0.16 Which is the nearest to 0? (a) 1/6 (b) 0 (c) 0.11 (d) 2/19 (e) -10 b What is the closest to -470/9 in 0, 2, 3, -1, -3/2? -3/2 Which is the closest to 2.1? (a) 0 (b) 0.7 (c) 11 (d) -2/11 (e) 9 b What is the closest to -59/3 in -0.2, 2/1215, 3? -0.2 What is the nearest to -0.6 in -0.3, -15, 1/11, -92? -0.3 Which is the closest to 2/15? (a) -6/49 (b) -4 (c) 0.1 (d) 5 c What is the closest to -1.3 in 0.6, 1, 0.01? 0.01 Which is the nearest to -0.27? (a) 0 (b) -2/7 (c) -2 b Which is the nearest to -5? (a) -4 (b) 125 (c) 1/37 (d) -5 d What is the nearest to 0 in 0.3, -12, 56, -2/3? 0.3 Which is the closest to -1/3? (a) -13/5 (b) -0.4 (c) -0.01 (d) -0.6 b Which is the closest to 32? (a) 1 (b) 3/2 (c) -0.8 (d) 117 b What is the closest to 1 in -9, -23, -0.2, -0.1? -0.1 What is the nearest to -4170 in 279, 2, -1/5? -1/5 What is the nearest to -0.1 in -6, 1.77, 10? 1.77 Which is the closest to 3? (a) -52 (b) -9 (c) 5 c What is the nearest to -21 in -2.2, -2, -0.09, -1? -2.2 Which is the nearest to 0.1? (a) -2 (b) 1302 (c) 1 c What is the closest to -0.1 in -1/989, -5, -0.1, -2/9? -0.1 What is the closest to -0.1 in 283, 1, 0.5, -8? 0.5 Which is the nearest to 0.1? (a) -4 (b) 0.1 (c) 4 (d) -0.3 (e) -12/19 b What is the closest to -13 in -0.6, 0, 8, 4, -0.3? -0.6 What is the closest to -0.2 in -0.1, 38206, -3? -0.1 Which is the closest to -3/5? (a) 0.1 (b) 0.44 (c) 153 (d) 1/5 (e) -1 e What is the nearest to -1/4 in -5, 20, 3/2, 164.7? 3/2 Which is the nearest to -3/4? (a) 2/5 (b) -3 (c) -2/13 (d) -0.087 (e) 1 c Which is the nearest to 4? (a) 0.03 (b) 2703 (c) 1.4 c Which is the nearest to -4? (a) -2/13 (b) 0.03 (c) -95 (d) 4 (e) -0.5 e What is the closest to -0.0567 in -2/11, 0, -14? 0 Which is the closest to 11? (a) -7/6 (b) 227 (c) 0.4 (d) -0.1 c What is the nearest to 6 in -0.432, -4, 2? 2 Which is the closest to -9? (a) -0.3 (b) 0 (c) -0.13 (d) -0.5 (e) 9 d Which is the closest to 5? (a) -0.5 (b) 0.3 (c) 0.38 (d) -0.09 (e) -2/11 c Which is the closest to -0.2? (a) -107/7 (b) -0.027 (c) -1/6 c What is the nearest to -2 in 5/6, 21, -0.54? -0.54 What is the nearest to -1 in 5/2, -501, -0.39, 0.5? -0.39 What is the closest to 10 in -0.09, 3991, -5? -0.09 What is the closest to 0.6 in -1/5, 11, 3, -4? -1/5 Which is the closest to 230? (a) -2/5 (b) -7
{ "pile_set_name": "DM Mathematics" }
ed without replacement from beebeueebb. Give prob of picking 2 e, 1 u, and 1 b. 4/21 Two letters picked without replacement from {r: 1, h: 1, u: 3, w: 1, j: 1}. Give prob of picking 2 u. 1/7 Four letters picked without replacement from {u: 4, l: 2, o: 5}. Give prob of picking 3 o and 1 u. 4/33 Calculate prob of picking 1 a, 1 r, and 1 j when three letters picked without replacement from {v: 3, a: 1, j: 4, r: 1, q: 6}. 4/455 Calculate prob of picking 2 m when two letters picked without replacement from fmmmmfmmmmmmmfmmmffm. 21/38 What is prob of picking 1 p, 2 m, and 1 v when four letters picked without replacement from mnpxmvj? 1/35 Two letters picked without replacement from {n: 2, k: 2, q: 3, z: 2}. Give prob of picking 1 z and 1 n. 1/9 What is prob of picking 3 s and 1 r when four letters picked without replacement from ssrgssssggrgsssssgs? 110/969 What is prob of picking 4 k when four letters picked without replacement from kkkknnkn? 1/14 Calculate prob of picking 4 s when four letters picked without replacement from ssssss. 1 Two letters picked without replacement from {h: 2, z: 1, w: 5, y: 2, t: 1, j: 2}. What is prob of picking 1 y and 1 z? 1/39 Two letters picked without replacement from {c: 1, b: 2, y: 2, x: 7}. What is prob of picking 2 y? 1/66 Two letters picked without replacement from {s: 4, l: 3}. Give prob of picking 1 s and 1 l. 4/7 What is prob of picking 1 e and 1 s when two letters picked without replacement from {s: 4, o: 2, x: 3, e: 1, k: 1}? 4/55 Two letters picked without replacement from {b: 8, r: 4, v: 2, p: 2}. What is prob of picking 1 v and 1 p? 1/30 What is prob of picking 1 h, 1 w, and 1 o when three letters picked without replacement from hkwho? 1/5 Four letters picked without replacement from wjjjjjjj. What is prob of picking 2 w and 2 j? 0 Three letters picked without replacement from rvrfv. Give prob of picking 2 r and 1 v. 1/5 What is prob of picking 1 v and 1 x when two letters picked without replacement from {k: 4, x: 2, y: 4, w: 1, v: 3, j: 1}? 2/35 Two letters picked without replacement from {l: 6, m: 1, v: 3, s: 1, q: 2, y: 2}. Give prob of picking 2 y. 1/105 Calculate prob of picking 2 p when two letters picked without replacement from {p: 11, t: 3}. 55/91 Two letters picked without replacement from {y: 2, i: 1, r: 2, f: 1, u: 4, s: 2}. What is prob of picking 1 y and 1 i? 1/33 Two letters picked without replacement from {d: 3, i: 7}. Give prob of picking 2 i. 7/15 Three letters picked without replacement from oyoiiiq. Give prob of picking 1 o, 1 y, and 1 i. 6/35 What is prob of picking 1 l, 1 h, and 1 j when three letters picked without replacement from lhbjqdh? 2/35 Two letters picked without replacement from ebibbqubblullbleuu. What is prob of picking 1 q and 1 e? 2/153 Three letters picked without replacement from ddddndddnjjddd. What is prob of picking 1 j, 1 n, and 1 d? 10/91 Four letters picked without replacement from {m: 7, q: 9, c: 3}. What is prob of picking 1 m and 3 c? 7/3876 Two letters picked without replacement from agact. Give prob of picking 2 a. 1/10 Calculate prob of picking 3 w when three letters picked without replacement from {w: 10}. 1 What is prob of picking 1 t and 1 h when two letters picked without replacement from {s: 2, t: 1, h: 1}? 1/6 Two letters picked without replacement from {t: 1, z: 3, s: 1}. Give prob of picking 2 z. 3/10 Calculate prob of picking 1 u, 1 h, and 2 a when four letters picked without replacement from {a: 1, h: 1, l: 1, u: 2}. 0 Calculate prob of picking 1 v, 2 y, and 1 m when four letters picked without replacement from zzmimyvzvyzuz. 4/715 What is prob of picking 4 p when four letters picked without replacement from vggpggvppgp? 1/330 Four letters picked without replacement from quznuxww. What is prob of picking 1 z, 2 w, and 1 q? 1/70 Calculate prob of picking 2 k when two letters picked without replacement from kkkkkk. 1 Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {d: 2, m: 3, j: 12}. 3/68 Calculate prob of picking 1 y and 1 l when two letters picked without replacement from kkyyyyyylly. 14/55 Calculate prob of picking 2 y when two letters picked without replacement from {y: 10, a: 1, p: 1, g: 1, v: 1}. 45/91 Two letters picked without replacement from sussussxss. Give prob of picking 1 x and 1 u. 2/45 What is prob of picking 1 b, 1 c, and 2 v when four letters picked without replacement from bbnvvbcbbbcl? 4/165 What is prob of picking 2 b and 2 r when four letters picked without replacement from {y: 2, r: 7, b: 6}? 3/13 Four letters picked without replacement from {j: 2, h: 4}. Give prob of picking 2 j and 2 h. 2/5 Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {r: 1, m: 2, u: 1, y: 2, s: 1, a: 1}. 1/28 Two letters picked without replacement from {p: 1, r: 18}. What is prob of picking 2 r? 17/19 Four letters picked without replacement from {x: 2, m: 3, h: 9, y: 2, a: 1}. What is prob of picking 1 x, 1 h, and 2 m? 27/1190 Four letters picked without replacement from vavlelalvvelavvaaa. Give prob of picking 2 a and 2 e. 1/204 What is prob of picking 2 f when two letters picked without replacement from {q: 1, f: 6, u: 7, g: 3}? 15/136 Two letters picked without replacement from {k: 1, e: 1, m: 2, u: 3, b: 4, l: 1}. What is prob of picking 1 e and 1 b? 2/33 What is prob of picking 1 f, 1 r, and 2 w when four letters picked without replacement from fwrowwbrwrwobrwfor? 5/102 Four letters picked without replacement from mnnmmmnmnmnmmmnmnnmn. Give prob of picking 4 m. 22/323 Two letters picked without replacement from {h: 2, d: 9, r: 5}. Give prob of picking 1 r and 1 d. 3/8 Four letters picked without replacement from ccffccvcvcfff. Give prob of picking 4 f. 1/143 Three letters picked without replacement from bnbrnqbbfrrbwfnnf. What is prob of picking 2 b and 1 w? 1/68 Calculate prob of picking 1 n, 1 y, and 1 e when three letters picked without replacement from tjjynjtjtmjetett. 1/280 What is prob of picking 2 s when two letters picked without replacement from xhshshxsxxxhh? 1/26 What is prob of picking 2 w and 2 j when four letters picked without replacement from jjwjjwjwjj? 3/10 Three letters picked without replacement from ptgccctgptgtpctigpp. Give prob of picking 1 c, 1 t, and 1 p. 100/969 What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 2, r: 1, q: 1}? 1/3 Calculate prob of picking 1 w and 1 n when two letters picked without replacement from lnlnwllnlwlnll. 8/91 What is prob of picking 2 v when two letters picked without replacement from vyvnyyvvynnvyyvyyyn? 5/57 Two letters picked without replacement from yhluhjvv. What is prob of picking 1 l and 1 u? 1/28 What is prob of picking 1 z and 1 g when two letters picked without replacement from {c: 3, g: 1, u: 3, z: 3}? 1/15 Two letters picked without replacement from {e: 4, b: 9, n: 1, d: 1, v: 2}. Give prob of picking 1 n and 1 d. 1/136 Three letters picked without replacement from {q: 6, n: 2, t: 11}. What is prob of picking 3 t? 55/323 Calculate prob of picking 1 e and 2 r when three letters picked without replacement from {e: 7, r: 4}. 14/55 Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {e: 5, c: 3, z: 7, x: 3, o: 1}. 5/57 Four letters picked without replacement from abblfbfblfbflffll. Give prob of picking 1 a and 3 l. 1/238 Two letters picked without replacement from bmbbmne. What is prob of picking 1 m and 1 b? 2/7 Two letters picked without replacement from {j: 1, r: 2, g: 1, s: 1, q: 1, y: 1}. Give prob of picking 1 q and 1 y. 1/21 What is prob of picking 1 n and 2 i when three letters picked without replacement from {f: 4, n: 1, i: 9}? 9/91 What is prob of picking 1 k and 1 u when two letters picked without replacement from mmkkuxumm? 1/9 Four letters picked without replacement from {d: 7, v: 2}. Give prob of picking 4 d. 5/18 Two letters picked without replacement from zzvzizzzihhivizizz. Give prob of picking 2 v. 1/153 Three letters picked without replacement from {q: 6, t: 7}. What is prob of picking 2 t and 1 q? 63/143 What is prob of picking 1 q, 1 p, and 1 v when three letters picked without replacement from ppyvdyqvpdypp
{ "pile_set_name": "DM Mathematics" }
erivative of -4/3*b**3 + 10*b**2 + 0*b + 0 + 1/6*b**4. Differentiate m(k) wrt k. 4 Differentiate -3*u**2 - 7*u**2 + 213 + 4*u - 2*u - 332 wrt u. -20*u + 2 Let p be 27/6 - 1/2. Suppose 2*z + 6 = -p*b, 0*z - 2*z + b = -9. What is the derivative of -2*a**z + 5 - 2*a**3 + 2*a**3 wrt a? -6*a**2 Find the first derivative of -177*u**2 - 2*u + 113 + 2*u + 295*u**2 wrt u. 236*u Suppose 7*p = 5*p + 18. Let u(y) = y**2 - 7*y - 15. Let f be u(p). Find the third derivative of -8*b**3 + f*b**2 + b**4 + 4*b**2 + 8*b**3 wrt b. 24*b Let i(d) be the second derivative of 11*d**5/2 + 3*d**3/2 + 7*d**2/2 + 55*d. What is the second derivative of i(m) wrt m? 660*m Let z(b) be the third derivative of 0 + 1/3*b**4 + 0*b**3 + 0*b**5 + 0*b + 11*b**2 + 13/120*b**6. Find the second derivative of z(w) wrt w. 78*w Find the second derivative of -46 - 930*p + 925*p + 111*p**2 + 12 wrt p. 222 Suppose -100 = -4*f + 208. Let o(n) = -n**2 + 9*n - 9. Let x be o(7). Find the third derivative of x*b**2 + 0*b**4 - f*b**6 + 0*b**4 + 78*b**6 wrt b. 120*b**3 Find the second derivative of -52*q**4 + 0*q**2 + 58*q**4 - 53*q**4 - q**2 - 69*q**4 - 97*q wrt q. -1392*q**2 - 2 Suppose 7*w - 6 = 4*w. Find the second derivative of 16*i**5 - 5*i + 4*i**5 + w*i - i wrt i. 400*i**3 Suppose 15 = q + 2*q. Let s(y) = -30*y**3 - 5*y**2 + 5*y - 10. Let f(i) = -31*i**3 - 6*i**2 + 6*i - 11. Let l(p) = q*f(p) - 6*s(p). Differentiate l(n) wrt n. 75*n**2 Let m(h) be the second derivative of -h**4/4 + 59*h**2/2 + 34*h. Find the first derivative of m(x) wrt x. -6*x Suppose 5*p - 3 = -8. Let t(g) = -24*g**3 + 8*g**2 - 4*g - 8. Let v(z) = -z**2 + z + 1. Let l(s) = p*t(s) - 8*v(s). Find the second derivative of l(b) wrt b. 144*b Let y(j) be the second derivative of 391*j**3/6 - 105*j**2 - 150*j + 2. Differentiate y(h) wrt h. 391 Let u(i) be the first derivative of 1 - i**3 - i**3 - 2*i**3 + 7*i**3 - 4*i**2. Find the second derivative of u(c) wrt c. 18 Let y(q) be the third derivative of -q**9/84 - q**7/42 + 8*q**5/15 + 13*q**2 - 1. Find the third derivative of y(v) wrt v. -720*v**3 - 120*v What is the derivative of 28*v**3 + v - 50*v**3 - 129 + 25*v**3 - v wrt v? 9*v**2 Let i(s) be the third derivative of 8*s**7/105 + s**6/40 + 533*s**5/60 - 797*s**2. Find the third derivative of i(p) wrt p. 384*p + 18 Find the second derivative of -h**4 - h**2 - 5 + 4610*h - 4606*h - h**2 wrt h. -12*h**2 - 4 Let q(n) be the first derivative of 39*n**4/2 + 169*n + 35. Find the first derivative of q(t) wrt t. 234*t**2 Suppose 0 = 2*m + 3*m + 40. Let c = m - -10. What is the derivative of 4 + 6 + c*l**3 - 12 wrt l? 6*l**2 Let p(j) = -j**2 + j. Let d(u) = 159*u**2 + 76*u. Let h(w) = -d(w) - 6*p(w). Find the second derivative of h(l) wrt l. -306 Let z(j) = -2*j - 3. Let w be z(-3). Let g = -600 + 603. Find the second derivative of 2*d**g - 2*d**3 + 7*d + 3*d**w wrt d. 18*d Suppose -28*v - 460 = -33*v. Differentiate 92*l + 6 - 2*l**2 - v*l wrt l. -4*l Suppose 0 = 33*k - 29*k - 8. Differentiate 1 - 4 + 139*o**2 - k - 155*o**2 wrt o. -32*o Suppose 0*l - 4*y = -2*l + 12, 0 = l + 4*y. Suppose -5*w = -w - 3*t - l, 5*t - 36 = -4*w. Differentiate 2*r**w + 2 - 7*r**4 + 6 with respect to r. -20*r**3 Let v(x) be the third derivative of 5*x**6/8 - 5*x**4/12 + x**3/6 - 128*x**2. What is the second derivative of v(y) wrt y? 450*y Let i(c) be the first derivative of -83*c**5/5 - 13*c**3 + 25. What is the third derivative of i(o) wrt o? -1992*o What is the third derivative of -11*r**3 + 107*r**2 - 188*r**2 + 442*r**3 - 406*r**2 - 216*r**2 wrt r? 2586 Let r(f) = -186*f**3 + 2*f**2 + 320*f + 18. Let d(u) = -u + 3. Let g(j) = 6*d(j) - r(j). Find the second derivative of g(s) wrt s. 1116*s - 4 Find the third derivative of 7*w**4 - 10 + 14*w**2 + 14 + 84*w**4 wrt w. 2184*w Let g(k) be the first derivative of 4/3*k**3 + 0*k**4 + 0*k + 0*k**2 - 4 - 8/5*k**5. What is the third derivative of g(y) wrt y? -192*y Find the third derivative of -3 - 29*s**4 - 32*s**2 - 2 - 31*s + 4 + 31*s + 3*s**3 wrt s. -696*s + 18 Differentiate -32 + 56*j**3 - 31*j**3 - 27*j**4 - 25*j**3 with respect to j. -108*j**3 Let i(v) be the second derivative of -v**4/12 - v**3/3 + v**2 - 3*v. Let q be i(-2). What is the third derivative of -2*x**2 + x**q - 2*x**3 + 5*x**3 wrt x? 18 Find the third derivative of 15*i**2 - 31*i**3 - 36*i**2 + 23*i**2 + i**4 + i**4 + 47 wrt i. 48*i - 186 Let w(t) be the second derivative of -t**7/14 + t**6/15 + t**3/3 + 7*t**2 - 9*t. Find the second derivative of w(d) wrt d. -60*d**3 + 24*d**2 Let z(g) be the first derivative of g**8/240 + g**6/90 - g**3 + 1. Let l(s) be the third derivative of z(s). What is the third derivative of l(o) wrt o? 168*o Let w = -3 - -9. Let i be (1 - 0)*(w - 3). What is the second derivative of -5*v + 4*v**i - 3*v**3 + v**3 wrt v? 12*v Let k be -3 + 3 + -1 - -3. Suppose -k*x + 3*x = 0. What is the second derivative of 4*g + 3*g**2 + x*g - 2*g wrt g? 6 Suppose 5*q = -0*g - g - 11, -g - 3*q = 5. Suppose 3 = g*u - 3*u. What is the third derivative of -3*t**2 + 2*t**2 - 8*t**u + 4*t**2 + 5*t**2 wrt t? -48 Suppose -b + 42 = 2*a + 3*b, 0 = -3*a + 2*b + 31. Find the first derivative of 994*r + a - 43*r**4 - 994*r wrt r. -172*r**3 Let d(h) be the third derivative of -3*h**6/20 + h**5/60 - h**4/3 + h**3/6 - 63*h**2. Find the second derivative of d(w) wrt w. -108*w + 2 Let w be (2/(-6))/(6/(-54)). Find the second derivative of 22*o**3 - 9*o**w - 10*o + 43*o wrt o. 78*o Suppose b - 3*q + 2 - 4 = 0, -43 = -5*b + 4*q. Find the second derivative of -9*a - 8 + b*a**3 + 8 wrt a. 66*a Suppose 13*z = 18*z - 205. What is the second derivative of 139*j**2 + z*j - 278*j**2 + 118*j**2 wrt j? -42 Find the third derivative of -61*k**3 + 4207*k**2 + 833*k**3 - 4705*k**2 wrt k. 4632 Suppose 7*c = 8*c - 3. Find the third derivative of -6*s**3 + c*s**3 - 4*s**3 + 3*s**3 + 22*s**2 wrt s. -24 Find the third derivative of -30*c**5 + 5286*c**2 - 107*c**5 - 5051*c**2 wrt c. -8220*c**2 Let p(w) be the third derivative of 8*w**7/105 + 7*w**4/24 + 15*w**3/2 + 20*w**2. What is the first derivative of p(x) wrt x? 64*x**3 + 7 Let z(q) be the third derivative of -q**7/280 + 5*q**4/24 + 13*q**3/6 - 2*q**2. Let r(f) be the first derivative of z(f). Differentiate r(v) with respect to v. -9*v**2 Let c be -1*4/12*-24. Find the first derivative of 10*o - 2 - c*o - 4*o wrt o. -2 Suppose -3*w - 5*g = -30, 4*w - 2*g = -3*g + 23. Differentiate -w - 5 - 3*o**3 + 4 - 5 with respect to o. -9*o**2 Let u(x) be the first derivative of 14*x**3/3 + x**2 - 20*x + 1. Differentiate u(j) wrt j. 28*j + 2 Let y(t) = 26*t**3 + 17*t**2 + t + 245. Let h(w) = -52*w**3 - 35*w**2 - 2*w - 493. Let f(i) = 6*h(i) + 13*y(i). What is the second derivative of f(u) wrt u? 156*u + 22 Let v(y) = 5*y**3 + 12*y + 2. Let f(p) = 24*p**3 + 37*p - 11*p + 14 + 34*p - 3. Let w(b) = -2*f(b) + 11*v(b). Find the second derivative of w(r) wrt r. 42*r Let l(f) be the second derivative of -19*f**3 + 69*f**2 - 130*f. Find the first derivative of l(c) wrt c. -114 Find the third derivative of -239*n**3 - 4510*n + 2261*n - n**2 + 2261*n wrt n. -1434 Let f = -14 - -14. Suppose 3*i = -2*h - 15, 3*h - 2*i + 6*i + 20 = 0. Find the second derivative of h + 53*s**2 + f + 2*s - 48*s**2 wrt s. 10 What is the third derivative of -u - 5*u + 9*u**2 + 148*u**6 + 4*u + 6*u**2 + u wrt u? 17760*u**3 Suppose 0 = 2*v + 3*r - 62, 3*r = -2*v + 2*r + 54. Find the first derivative of -v*f - 6*f**4 - 5 - 5*f**4 + 25*f wrt f. -44*f**3 Let y be ((-14)/84)/((-1)/12). What is the derivative of -y - 17 - 13*t - 5*t - 18 wrt t? -18 Find the third derivative of 36*n**2 - 26*n**2 + 44*n**2 + 85*n**5 + 111*n**5 wrt n. 11760*n**2 Let l(z) be the first derivative of 4*z**5 + z**3/3 - 89*z**2/2 + 7. Find the second derivative of l(g) wrt g. 240*g**2 + 2 Suppose -2 + 10 = h. Let l be h/(-12) + 24/9. What is the first derivative of -1 - x - l*x + 0*x + 2 wrt x? -3 Let c(i) = 29*i**4 - 12*i**3 + 39*i**2 + 23. Let w(y) = -10*y**4 + 4*y**3 - 13*y**2 - 8. Let g(r) = -6*c(r) - 17*w(r). Find the third derivative of g(f) wrt f. -96*f + 24 Let j be 35/9 + (-20)/(-180). Let i(g) be the second derivative of -3/2*g**3 + 0 + 0*g**j + 2*g + 0*g**2 + 13/20*g**5. Find the second derivative of i(p) wrt p. 78*p Let g be (-2)/(-5) - (-26)/20*2. Differentiate 7*y + g*y + 2
{ "pile_set_name": "DM Mathematics" }
.99. Put g, c, p in increasing order. p, g, c Let j = 0.4 - 0.7. Let v = -3.3 - j. Let u = v - -2. Sort 5, u, 3/4 in decreasing order. 5, 3/4, u Suppose -51*p - 95 = -46*p. Sort p, 4, 1, -5 in decreasing order. 4, 1, -5, p Let r = -22 - -20. Let x = 0 + 0. Put r, x, -5 in ascending order. -5, r, x Let o = 3.3 + -3. Let x = -0.1 - o. Let q = -4.879 + -0.121. Sort q, -2/11, x in descending order. -2/11, x, q Let v = 9 + 0. Let c = -14 + v. Let j = -7 - c. Put j, 1, -5 in decreasing order. 1, j, -5 Let r be (-1)/(-1*(-2 - -3)). Suppose 4*a = -2*k + 12, -3*k + 8 = 3*a - 2*k. Suppose -g = -a*g. Sort r, g, -1. -1, g, r Suppose -x = 3*x + 20. Let h(b) = 8*b**3 + 5*b**2 + 2*b + 2. Let j be h(-1). Let o = -2 + 2. Sort j, x, o in increasing order. x, j, o Suppose -j = -2*j - 6. Let q be (1*j)/(6/(-4)). Put 2, -11, q in increasing order. -11, 2, q Let h be 3/4 - 165/(-20). Let m be (18/27)/(2/h). Suppose -2*t + m*t = 3. Sort t, 4, 2 in increasing order. 2, t, 4 Let k = 1 + 4. Let d be (-30)/(-12) - 1/(-2). Let p = -21 + 64/3. Put k, p, d in descending order. k, d, p Suppose 3*k = 2*p, 0 = 2*p - p - 3. Suppose 2*m + 9*o - 6 = 4*o, 5*m = -3*o - 4. Put m, 0, k in ascending order. m, 0, k Suppose 4*z = -l + 8, 2 + 1 = 3*z. Let o be -5 - (-2 - l/(-2)). Sort 1, o, -2. o, -2, 1 Let k be (6/(-8))/((-10)/(-8)). Suppose -5*d + 6 + 4 = 0. Sort k, -2, d in ascending order. -2, k, d Let c(x) = x**2 + 5*x**2 + x**3 - 2*x**3 - 3*x - 7. Let b be c(5). Suppose -3*s - 4*v = -31, -2*s + 13 = b*s - 3*v. Sort s, -2, 2 in decreasing order. s, 2, -2 Let o = 7 + -4. Let z = 21 - 29. Let v = -11 - z. Put o, 4, v in decreasing order. 4, o, v Let i be (1 + -2)*(11 - 10). Sort -5, -3, 3, i in increasing order. -5, -3, i, 3 Let c = 3.07 + -0.07. Put -4, c, -8, -0.1 in descending order. c, -0.1, -4, -8 Let n be (10 - 10)/(-2 + 0). Sort 2, 50, n in increasing order. n, 2, 50 Let y be 7 - 0 - 0 - 2. Suppose 3*w + 6 = -4*h, -2 + 0 = 4*h + w. Suppose -4*p = -4*n - h*n - 24, -2*p = 3*n + 8. Sort y, p, 1. 1, p, y Let v = 1 + 0. Let b = 12 + -17. Let l = b - -1. Sort l, v, 5 in descending order. 5, v, l Suppose -2*m = m. Let q = -11 + 10.94. Let n = q + 0.56. Put n, 2, m in descending order. 2, n, m Let v = -7 - -4. Let x be 7/(-3) - 1/v. Let d be 1*(x + (-2 - -1)). Put -4, d, 2 in descending order. 2, d, -4 Suppose -m - 1 = -0. Let y be 28/(-8) + 6/4. Sort -5, y, m in descending order. m, y, -5 Let m = -8 - -8. Let k = 580/7 + -83. Sort m, 4, k in ascending order. k, m, 4 Let v = -5 + 5. Let x be (v/(3 + -1))/(-2). Let j(f) = f**3 + 5*f**2 + 2*f + 7. Let r be j(-5). Put r, 2, x in descending order. 2, x, r Suppose z + 4*z = 15. Suppose 0 = -z*y + 3*g - 21, 0 = -5*y - 5*g + 7 - 2. Let w = 0 - -3. Put y, w, 0 in ascending order. y, 0, w Let w = -3/11 - -17/22. Let l = -0.2 + -0.1. Put 4, w, l in descending order. 4, w, l Let g be (1 - 4)*1 + 91. Let y be ((-12)/g)/((-9)/(-12)). Let n = -0.3 + -0.7. Sort n, 0.5, y in ascending order. n, y, 0.5 Let l = -57 + 58. Sort -5, 1/3, l, 0 in decreasing order. l, 1/3, 0, -5 Suppose -5*c = 9 - 29. Put -5, c, 5 in decreasing order. 5, c, -5 Suppose 0 = 3*u - u + 10. Let b = 49 - 49. Put b, u, -1 in increasing order. u, -1, b Let i = 4 - 1. Suppose 2*y = l + 6*y + 23, 3*l + y + 14 = 0. Put i, l, 2 in descending order. i, 2, l Let b be -6 - (-4 - 0)/2. Let a(w) = -3*w**2. Let x be a(1). Let i = x - -6. Put b, i, -2 in decreasing order. i, -2, b Let r be (-2 + 5)*(-2 - -3). Suppose -20 = -r*n + h, 3*n - 5 = -2*n - 4*h. Let u = -3.98 - 0.02. Sort u, n, -2/5 in decreasing order. n, -2/5, u Let w = 28 - 19. Suppose -3*p = -8*p + 5*r + 10, 3*r + w = 0. Let m be (4/(-42))/((-2)/6). Sort -4, p, m in decreasing order. m, p, -4 Let r = 44.4 - 44. Let a = -0.6 - -2.6. Put a, r, 0 in descending order. a, r, 0 Let k be 8/(-36) + 411/27. Let h = k - 15. Sort -2, -4, h in descending order. h, -2, -4 Let g = -1 + 6. Let q = g + -2. Sort q, -0.5, -5 in increasing order. -5, -0.5, q Let n = 0 + 0. Let b = -8.9 + 9. Let q = n + b. Put q, -0.3, 5 in increasing order. -0.3, q, 5 Suppose -24*p - 5 = -25*p. Sort 4, p, 2 in ascending order. 2, 4, p Let h(u) = -2*u**2 - 4*u + 4. Let v(l) = -3*l + 2. Let b be v(2). Let n be h(b). Let y = 7 + n. Put -1, y, -2 in descending order. -1, -2, y Let j = 4.2 - 2.2. Put j, -0.5, -2/3 in descending order. j, -0.5, -2/3 Suppose 0 - 3 = -3*w. Let i = 6 - 2. Suppose -5*k - 3 = -i*k. Sort w, 0, k. k, 0, w Let r be 3/(-2)*(-13)/((-117)/12). Let s be (3/(-2))/((-2)/(-4)). Put s, r, 0 in descending order. 0, r, s Suppose r - 2 + 3 = 0. Let g be (13 + r)*(-1)/(-3). Put -1, -3, g in decreasing order. g, -1, -3 Let p = 1.16 + -1. Let q = -0.14 + p. Sort 1, q, 5/2. q, 1, 5/2 Let a = 18 - 18. Let l = -3.4 + 3. Sort a, l, -5. -5, l, a Let j(v) be the third derivative of v**5/60 - 7*v**4/24 + 3*v**3/2 - 3*v**2. Let n be j(6). Suppose 5*q - n*q = 0. Sort -3, q, 1 in increasing order. -3, q, 1 Let v = -55 - -55. Sort -0.4, 0.1, -0.09, v in increasing order. -0.4, -0.09, v, 0.1 Let c(m) be the first derivative of m**4/4 - m**3 - m**2 + 2*m + 4. Let t be c(4). Let f be (-4)/t - 6/(-30). Sort 2, f, -1/3 in increasing order. -1/3, f, 2 Let k(u) = u**3 + 6*u**2 - 8*u - 10. Let f be k(-7). Let y be 7/(-3) - f/9. Let m = 2 - 2. Sort m, y, -4 in descending order. m, y, -4 Let n = 2.9 + -1.6. Let z = -1 + n. Let o = -16 - -12. Sort 0.2, o, z in increasing order. o, 0.2, z Let p = -1.1 + -2.9. Let u = 5 - 5.2. Let a = u + -1.8. Put -1/3, p, a in descending order. -1/3, a, p Suppose -8*c + 4*c - 6 = 2*f, 5*f + 4*c + 9 = 0. Let s(y) = -17*y - 4. Let u be s(0). Let b be (-1)/(-2)*0 + 3. Sort u, b, f in decreasing order. b, f, u Suppose 24 - 19 = -a. Let c(l) = -l**3 + 2*l**2 + 3*l - 3. Suppose -g = 2*g + w - 6, 2*g - 3*w - 4 = 0. Let m be c(g). Sort m, 0, a. a, 0, m Let i(v) = -4*v. Let s be i(-1). Let g be 0/(1*s/2). Put -4, g, -5 in descending order. g, -4, -5 Suppose 0 = -2*x + 5*x. Suppose 2*t - 6 + x = 0. Put -4, 4, t in descending order. 4, t, -4 Let l(u) = -u**2 + 13*u + 13. Let z be l(14). Suppose 5*v - 5*w = -5, -4*v + 2*w + 3*w = 5. Suppose v*p + p = -5. Sort z, p, -3. p, -3, z Suppose -7*g = -2*g + 5. Sort g, 2, -4 in increasing order. -4, g, 2 Suppose 7*h - 6*h = -n - 6, -4*n + 3*h - 3 = 0. Sort n, 4, 3 in ascending order. n, 3, 4 Suppose -5*k - 13 = -53. Let s = 4 - k. Let x be (-6)/s*(1 + 1). Sort 5, 1, x in increasing order. 1, x, 5 Let h = -1 - -3. Let a = 4 - h. Let i = -37/132 + 1/33. Sort i, a, 0.3 in decreasing order. a, 0.3, i Suppose 2 - 17 = -5*f. Suppose 46*o - 77 = 153. Sort f, 4, o in descending order. o, 4, f Let o(w) = w**3 + 9*w**2 - w - 1. Let h be o(-9). Let n(k) = k**2 - 9*k + 9. Let y be n(h). Sort -5, y, -3 in decreasing order. y, -3, -5 Let q be 30 + (-2)/2 + 1. Suppose -2*d + 19 = -4*l + 3, 0 = 5*d + 4*l + q. Sort 4, -5, d in descending order. 4, d, -5 Let c(d) = -16*d + 3. Let v(g) = 11*g - 2. Let r(j) = 5*c(j) + 7*v(j). Let w be r(2). Let b be (-1)/(0 + 1/w). Put 2, 3, b in decreasing order. b, 3, 2 Let v = -132 - -134. Let k = 2 + -4. Sort 1, v, k in decreasing order. v, 1, k Let u = -0.059 - -2.059. Put u, -4, -0.046 in ascending order. -4, -0.046, u Let z = -1.01 - -1. Let n = 0.243 - 0.043. Put 0.4, z, n in descending order. 0.4, n, z Let b(m) = 14*m**2 - m + 1. Let t be b(1). Suppose 0 = -4*a - 3*g - 0*g - t, 0 = 2*a - 3*g - 2. Sort 2, a, 1 in increasing order. a, 1, 2 Let f = 7 - 3. Let j be ((-3)/(-6))/(3/(-18)). Let l = f + j. Put l, 2, 5 in increasing order. l, 2, 5 Let z = 3 + -2.6. Let l = 35.5 + -34. Let k = -4.5 + l. Put z, k, -2 in increasing order. k, -2, z Let r = -30 + 46.5. Let h = r - 16. Sort h, -2, 7 in descending order. 7, h, -2 Let m = 0 - -2. Sort 4, -2, m in increasing order. -2, m, 4 Let n(h) = -h + h**2 + 2 - 3*h - h + 3. Let d = -8 + 13. Let w be n(d). Put -2, 4, w in descending order. w, 4, -2 Suppose -2*f = -3*f - 1. Let m be 7/6 + (-4)/24. Put m, -2, f in decreasing order. m, f, -2 Let a be 54/(-7) + (-4)/14. Let u be (-6)/18 + (-114)/9. Let k = a - u. Sort k, -3, -5 in descending order. k, -3, -5 Let a = 1.95 - -0.05. Let y(r) = r**2 - 7*r + 7. Let v be y(5). Let x = -7 + 5. Sort x, a, v in decreasing order. a, x, v Suppose -r + 18 = 2*f - 6*f, 24 = -4*f - 2*r. Sort -2, -4, 1, f in ascending ord
{ "pile_set_name": "DM Mathematics" }
1)/5). Let x be 1 - (-8)/(-4) - y. Suppose b - 6*b + 50 = 5*m, -x*m + 5*b + 34 = 0. What are the prime factors of m? 2, 3 Let f = 393 - -101. List the prime factors of f. 2, 13, 19 Suppose 2623 = 7*t - 65. What are the prime factors of t? 2, 3 Let q(a) be the first derivative of a**2/2 + 8*a + 7. List the prime factors of q(8). 2 Let l(p) = 70*p - 41. What are the prime factors of l(4)? 239 Let f(m) = -4*m**3 - 23*m**2 + 10*m + 24. What are the prime factors of f(-9)? 3, 7, 47 Let q(v) be the first derivative of 2/3*v**3 + 8 + 9*v - 6*v**2. List the prime factors of q(8). 41 Suppose 0 = -17*k + 107363 - 29435. What are the prime factors of k? 2, 3, 191 Let x(i) = 2*i - 15. Let l be x(-6). Let f = l - -40. List the prime factors of f. 13 Suppose 16 = 3*m - 59. Suppose -4*c - q = -109, c - 7*q - m = -5*q. List the prime factors of c. 3 Suppose -4*g + 416 = 2*s, 5*s + 0*g - 1029 = g. List the prime factors of s. 2, 103 Suppose -1053*z = -1057*z + 8256. List the prime factors of z. 2, 3, 43 Let v = 7096 + -4962. What are the prime factors of v? 2, 11, 97 Suppose 3*j - 19 = -34. Let q(z) = -45*z + 24. What are the prime factors of q(j)? 3, 83 Let g(z) = 1. Let j(i) = -3*i + 8. Let p(x) = -36*g(x) + 4*j(x). What are the prime factors of p(-2)? 2, 5 Let z(h) = h**2 + h. Let v be z(-3). Let x = 4 - v. Let b(d) = -10*d**3 - 4*d**2 - d + 3. What are the prime factors of b(x)? 3, 23 Suppose 0 = -4*s - 16, -2*l - 6*s = -11*s - 670. What are the prime factors of l? 5, 13 Let m(k) = k**3 - 9*k**2 + 10*k + 8. Let p be m(10). Suppose -8*r - p = -2072. What are the prime factors of r? 233 Let i = -5 - -17. Let b be 118/6 + (-8)/i. Let s = -10 + b. List the prime factors of s. 3 Let c be (1 - 1 - -2)*(-201)/6. Let s = c + 99. What are the prime factors of s? 2 Suppose 3*o + 42 = 4*o. Suppose 2*p = -n - o, n - 100 = 4*p - n. What are the prime factors of (p/4)/(5/(-20))? 23 Suppose 7 = 4*w - 5. Suppose -5*l + 725 = w*g, -4 + 7 = 3*l. What are the prime factors of g? 2, 3, 5 Suppose 5*l - 11 = -2*h, -h = -6*l + 2*l + 14. List the prime factors of ((-784)/(-24))/(h/(-6)). 2, 7 Let g be 3/5 - 2174/(-10). Let h = g + -30. Let x = h - 112. List the prime factors of x. 2, 19 Let y(s) = -2*s + 13 + 0*s + 3*s + 0*s. Let g be y(-12). List the prime factors of ((-36)/(-42))/(g/14). 2, 3 Suppose -2*q - 5*f + 5 = 0, 0*f + 22 = 5*q + 3*f. Suppose -50 = -3*z + 5*v + 138, 0 = -q*z - 5*v + 380. What are the prime factors of z? 71 Suppose 75 - 763 = -2*g. List the prime factors of g. 2, 43 Let c(w) = 28*w + 14. Let g be (0 + 0 - 12/(-9))*3. List the prime factors of c(g). 2, 3, 7 Suppose -5*l + 0*u = u + 258, 3*l - 2*u = -160. Let t be (3/(-3) + 0)*1*33. Let w = t - l. List the prime factors of w. 19 Suppose -4*r = 3*f - 1583, -2*r - 1782 = -5*f + 839. What are the prime factors of f? 3, 5, 7 Let r = 222 + -116. List the prime factors of r. 2, 53 Suppose -60270 = -77*y + 25277. List the prime factors of y. 11, 101 Let w(u) = -4*u + 3. Let p(f) = -20*f + 14. Let s(z) = 3*p(z) - 16*w(z). What are the prime factors of s(13)? 2, 23 Suppose -5*r = 24*r - 19053. List the prime factors of r. 3, 73 Suppose -4189 = -6*n + 581. What are the prime factors of n? 3, 5, 53 Suppose 8*f - 10339 = 10781. List the prime factors of f. 2, 3, 5, 11 Let t(y) = 2*y - 3. Let z be t(4). Suppose 0 = -4*l - 4*l + 8. Suppose -l = h - a, z = -0*h - h + 2*a. What are the prime factors of h? 3 Suppose q + 2*q - 21 = 0. Let m(d) = 6*d - 5. List the prime factors of m(q). 37 Let a(b) = -103*b - 56. What are the prime factors of a(-7)? 5, 7, 19 What are the prime factors of 178279/289 + (-2)/(-17)? 617 Let c be (0/(-1) - 10) + -1. Let q = c - -7. List the prime factors of (2 + 39/(-12))*q. 5 Suppose 2*l + 4*m - 6976 = 0, 20*m + 10464 = 3*l + 16*m. List the prime factors of l. 2, 109 Let g(r) = r**2 - 10*r + 10. Let t be g(8). List the prime factors of (4/t)/(8/(-612)). 3, 17 Let h(d) = -14*d**3 + 20*d**2 + 3*d + 261. Let a(q) = 5*q**3 - 7*q**2 - q - 87. Let o(n) = 17*a(n) + 6*h(n). What are the prime factors of o(0)? 3, 29 Let z(y) = y - 10. Let o = 18 - 6. Let w be z(o). Suppose -6*r + w*r = -44. What are the prime factors of r? 11 Suppose 71*y = 58*y + 43355. What are the prime factors of y? 5, 23, 29 Let u be (10/(-15))/((2/(-477))/1). List the prime factors of -5 - u/(-33) - (-1632)/22. 2, 37 Let z(v) = -v**3 + 3. Let j be z(0). Suppose 4*a - 4 = -j*w, -w + a - 5 = -4*a. Suppose 0*r + r - 25 = w. List the prime factors of r. 5 Let w(r) = 3*r - 24. Let q(b) = 8*b - 71. Suppose 5*t = -6*s + 2*s - 26, -8 = 4*t. Let g(y) = s*q(y) + 11*w(y). What are the prime factors of g(-11)? 3 What are the prime factors of (180/(-150))/((-3594)/3590 + 1)? 3, 359 Let r(a) = 31*a**2 - 6*a + 67. What are the prime factors of r(6)? 31, 37 Let l be (157/2)/((-10)/(-4) + -3). Let r = l - -359. What are the prime factors of r? 2, 101 List the prime factors of 3/(-9 + 15) + (-1934)/(-4). 2, 11 Let l = 164 + 272. What are the prime factors of l? 2, 109 Let v(w) be the third derivative of 13*w**5/60 + w**4/6 + w**3/2 + 7*w**2. What are the prime factors of v(-2)? 47 Let c(y) = -5*y**3 - y**2 - 2*y - 2. Let i be c(-1). Let p be (-246)/21 + i/(-14). Let q = p + 18. List the prime factors of q. 2, 3 Let b = -14 - -2. Let s be (-15)/b*2*2. Suppose -92 = -s*m - c, -2*c = -3*m + 36 + 14. List the prime factors of m. 2, 3 Suppose -525 = -14*r + 2975. What are the prime factors of r? 2, 5 Suppose 0 = -3*j - 195 + 498. Suppose 123 = 4*d - j. Let o = 109 - d. What are the prime factors of o? 53 Suppose 0 = -4*d + 5 + 3. Let l(v) = 25*v + 1. List the prime factors of l(d). 3, 17 List the prime factors of 546 - ((-40)/(-10) + 6). 2, 67 List the prime factors of -2 - (-2484)/((-54)/(-6)). 2, 137 Let r(t) = t**3 + 5*t**2 - t + 4. Let g be r(-5). Suppose 8*k - g*k = -13. What are the prime factors of k? 13 Let w = 60 + -87. Let i = w + 49. What are the prime factors of i? 2, 11 Let o(v) = 32*v**2 - 18*v - 180. List the prime factors of o(-6). 2, 3, 5 Suppose -2*c - 3 + 7 = 0. Suppose -n = -5*h + 53, 32 = 2*h - 2*n - c*n. Suppose -14*l + 96 = -h*l. What are the prime factors of l? 2, 3 List the prime factors of 2179/7 + (-4)/14 - -1. 2, 3, 13 Suppose -2*w = 2*s - 5*w - 7, -3*s + 3*w = -9. Suppose 2*c = -s - 16. Let n(f) = f**2 + 10*f + 11. List the prime factors of n(c). 2 Suppose -4*a + 20 = 0, -3*z - 8*a + 5*a + 3219 = 0. List the prime factors of z. 2, 3, 89 Let d = 1522 + -613. List the prime factors of d. 3, 101 Let j(p) be the second derivative of p**5/40 - 7*p**4/6 - 2*p**3/3 + 9*p. Let w(u) be the second derivative of j(u). List the prime factors of w(15). 17 Let p(w) = -w**3 + 11*w**2 - 11*w + 11. Let v be p(10). Let k be (3 + 2/2)*v. Suppose -5*n + k*a = -150, 5*n - 2*a + a = 150. List the prime factors of n. 2, 3, 5 Let j(b) = b**3 + 5*b + 2. Let v be j(-2). Let r = v + 19. List the prime factors of r. 3 Suppose -3*m = -2*o + 6115, 18*m - 13*m + 12231 = 4*o. List the prime factors of o. 7, 19, 23 What are the prime factors of (-4880)/(-15)*(0 + (-27)/(-12))? 2, 3, 61 Let r be (15/(-6))/(-5)*4. What are the prime factors of (2 - -2 - r) + 4? 2, 3 What are the prime factors of (-39)/104 + 4267/8? 13, 41 Let k(x) = -x**2 - x + 72. Let i be k(0). Suppose 0*t - 4*t - i = 0. Let f = t - -52. List the prime factors of f. 2, 17 Suppose -18*t + 80 = -2*t. Suppose -764 - 371 = -t*d. List the prime factors of d. 227 Suppose -3*y + 3*n - 13 - 50 = 0, 2*y + 4*n = -18. Let g = -52 + 89. Let q = y + g. List the prime factors of q. 2, 5 Let c(n) = -5*n - 40. Let z be c(-8). Suppose z = -3*y + 49 + 38. List the prime factors of y. 29 Suppose -2*f = 2, -4*m - 36 = -m - 3*f. List the prime factors of (0 + -2)/(4/m)*2. 13 Let n(b) = b**2 - 12*b + 6. Let d be n(11). Let s(m) = -12*m. Let r(i) = -i**2 + i. Let c(w) = d*r(w) - s(w). List the prime factors of c(-4). 2, 13 Let s(y) be the second derivative of 0 - 7/6*y**3 - 3/2*y**2 - 3*y - 1/12*y**4. List the prime factors of s(-5). 7 Suppose 5*x = -16*x - 189. List the prime factors of (-28)/6*(x - -6). 2, 7 Let b be (-126)/(-24) - 2/8. Suppose 75 - 850 = -b*h. What are the prime factors of h? 5, 31 Let w = 3011 - 442. List the prime factors of w. 7, 367 Let i be 1 - (-3 + (-1 - 77)). Let t(h) = 3*h**2 + 9*h
{ "pile_set_name": "DM Mathematics" }
t(133) - sqrt(133) - sqrt(133))))/(sqrt(2016)/sqrt(8)))**2. 19/36 Simplify 1*(3*(sqrt(11) + sqrt(11) + -2) + (sqrt(396) + sqrt(396) + sqrt(396)*-1 - sqrt(11))). -6 + 11*sqrt(11) Simplify (sqrt(42)/sqrt(6)*1)**2*1*-6. -42 Simplify (4 + sqrt(19)*3 + (-2*sqrt(114))/sqrt(6))**2. 8*sqrt(19) + 35 Simplify 5 + (sqrt(1053) - (sqrt(1053) + 2 + sqrt(1053))**2). -4211 - 63*sqrt(13) Simplify (3 + sqrt(245) - sqrt(245))**2 - (sqrt(180)*1 - sqrt(180))**2. 9 Simplify ((sqrt(125)*-1 - sqrt(125))*6 - ((sqrt(125) - 2*sqrt(125) - sqrt(125)) + sqrt(125) + 3))**2. 330*sqrt(5) + 15134 Simplify (6*(sqrt(7) - (sqrt(7) + -1))*3)**2. 324 Simplify (3*(sqrt(11) - (sqrt(176) + 1) - (-5 + sqrt(44))))**2. -360*sqrt(11) + 2619 Simplify 5 + -2 + sqrt(2) + -4. -1 + sqrt(2) Simplify (-6*sqrt(72)/sqrt(3) - sqrt(24))/((sqrt(180)/sqrt(3))/sqrt(5)). -7*sqrt(2) Simplify 2 + sqrt(12)/(-2*sqrt(6)). -sqrt(2)/2 + 2 Simplify -4*2*sqrt(11)*5*4. -160*sqrt(11) Simplify -4 + 1*(sqrt(304) + (1*sqrt(304))**2). 4*sqrt(19) + 300 Simplify 1*(2 + sqrt(1584)) - (-1 + sqrt(1584))*5. -48*sqrt(11) + 7 Simplify sqrt(242) + 0 + 2. 2 + 11*sqrt(2) Simplify (sqrt(132)/(sqrt(12) + sqrt(48)) - (-1 + sqrt(11) + 0 - sqrt(11)))**2*-6. -40/3 - 4*sqrt(11) Simplify (sqrt(102)/sqrt(6)*-6)**2*-6. -3672 Simplify 4*sqrt(40)/(-2*sqrt(968)). -2*sqrt(5)/11 Simplify sqrt(78)/(sqrt(6) - (sqrt(24)/sqrt(4) + sqrt(6))) + -2. -sqrt(13) - 2 Simplify -4*(sqrt(11) + (sqrt(33)/sqrt(3) - sqrt(11))) + sqrt(11) + (-3 + sqrt(11) + sqrt(11)*-4)**2. 15*sqrt(11) + 108 Simplify sqrt(475) + 1*sqrt(475) - ((sqrt(1539)*2)**2 + sqrt(19)). -6156 + 9*sqrt(19) Simplify (1*sqrt(91)*-5)/(sqrt(252)*2). -5*sqrt(13)/12 Simplify ((sqrt(448)*-2 + -2 - sqrt(448))*-3)**2. 864*sqrt(7) + 36324 Simplify ((sqrt(600) - 2*sqrt(600))/sqrt(12))/sqrt(10). -sqrt(5) Simplify (sqrt(448)*-2)**2 + 4. 1796 Simplify ((3 + sqrt(208))*-6)**2 - (4 + -3 + sqrt(208)). 860*sqrt(13) + 7811 Simplify (sqrt(136) + sqrt(136)*2*4 + sqrt(136) - sqrt(136))/sqrt(8). 9*sqrt(17) Simplify sqrt(133)/(sqrt(28)/sqrt(64)) + 5. 5 + 4*sqrt(19) Simplify -2 + -1 + sqrt(208). -3 + 4*sqrt(13) Simplify ((4*sqrt(1008)*2)**2 - 5*(1 + sqrt(1008))**2) + 0. -120*sqrt(7) + 59467 Simplify 2 + (sqrt(720) + 0)**2. 722 Simplify ((sqrt(99) + (sqrt(99) + (sqrt(99) - sqrt(99)*2) - sqrt(99)) + 5)**2 - sqrt(99)) + 2. -3*sqrt(11) + 27 Simplify (-5*sqrt(560))/(sqrt(500) - (sqrt(500) + (sqrt(500)*-1 - sqrt(500)) + sqrt(500)) - sqrt(5)). -20*sqrt(7)/9 Simplify (sqrt(12)/sqrt(6)*-4 + (3 + sqrt(2))*-3)**2*-1. -179 - 126*sqrt(2) Simplify -3*1*(-1 + sqrt(5)). -3*sqrt(5) + 3 Simplify ((sqrt(68) - sqrt(68)*1*-2) + sqrt(68))/(-2*sqrt(256) + sqrt(256)). -sqrt(17)/2 Simplify (sqrt(616)/(sqrt(11) - sqrt(11)*-1))/((sqrt(16) - (sqrt(16) + (sqrt(16) - (sqrt(16) - sqrt(80)/sqrt(5)))))/sqrt(2)). -sqrt(7)/2 Simplify ((1*sqrt(136) - sqrt(136))*6)/sqrt(8) + -1. -1 Simplify 1 + (sqrt(2) - sqrt(18)) + -1. -2*sqrt(2) Simplify (4 + 2 + sqrt(252))**2. 72*sqrt(7) + 288 Simplify -1 + -5 + sqrt(605). -6 + 11*sqrt(5) Simplify sqrt(20) + -1 - (-3 + (sqrt(20))**2). -18 + 2*sqrt(5) Simplify sqrt(4)/(sqrt(2) + (sqrt(10)/sqrt(5) - sqrt(2))) - (-3*sqrt(16))/sqrt(8). 4*sqrt(2) Simplify 4*-1*(sqrt(7) - (sqrt(7) + -2*sqrt(7) - sqrt(7))**2). -4*sqrt(7) + 112 Simplify sqrt(45)/(sqrt(144)*2). sqrt(5)/8 Simplify 6*2*(sqrt(153) + 1) + -2. 10 + 36*sqrt(17) Simplify -1*sqrt(208)*-6. 24*sqrt(13) Simplify (sqrt(320) + sqrt(320)*-2)/sqrt(10) + (sqrt(32) + -1)**2 + 5. -12*sqrt(2) + 38 Simplify (1*sqrt(1000))/sqrt(8). 5*sqrt(5) Simplify (sqrt(2057)*-3*-2*-4)**2. 1184832 Simplify -4 + (-1*sqrt(99))/sqrt(9) - ((-1 + sqrt(11))**2*5 + sqrt(176)*-5). -64 + 29*sqrt(11) Simplify ((-4*sqrt(847))**2 + -2)*2. 27100 Simplify sqrt(3) + 4*(-2 + sqrt(3)) + 3. -5 + 5*sqrt(3) Simplify -3 + sqrt(39)/(sqrt(9)/sqrt(3)) + sqrt(13) - (sqrt(1573) + sqrt(1573) + 1)**2*-2. 90*sqrt(13) + 12583 Simplify -3 + sqrt(13) + 1 - sqrt(637)*2. -13*sqrt(13) - 2 Simplify (sqrt(119) - (sqrt(119)*-2 + sqrt(119) - sqrt(119) - sqrt(119))*5 - sqrt(119))/(5*sqrt(14)/sqrt(2)). 3*sqrt(17) Simplify (1*sqrt(72))/(sqrt(36) + -2*sqrt(36)). -sqrt(2) Simplify ((sqrt(704) + 1)*-5)**2. 400*sqrt(11) + 17625 Simplify 3*(sqrt(128) - (0 + sqrt(128))*-4). 120*sqrt(2) Simplify (2*sqrt(77)*6)/(sqrt(704) + (sqrt(704) - (sqrt(704) - -2*sqrt(704)))). -3*sqrt(7)/2 Simplify ((sqrt(153)*-1 - sqrt(153))*-3 + sqrt(153) - sqrt(153))/(-4*(sqrt(225) - sqrt(9))). -3*sqrt(17)/8 Simplify 1 + sqrt(200)/sqrt(4)*5 + 5. 6 + 25*sqrt(2) Simplify 6*sqrt(700)*4 + 0. 240*sqrt(7) Simplify -2 + (4 + sqrt(28)/sqrt(4) + sqrt(7))**2 + sqrt(7) + sqrt(7) + 1 + -3. 40 + 18*sqrt(7) Simplify (-3*(-1 + sqrt(7))*-1 - sqrt(56)/(sqrt(88)/(sqrt(11) + (sqrt(11) - sqrt(11)*-1))))**2. 9 Simplify ((0 + sqrt(2448) + sqrt(2448) + sqrt(2448) + 1 + sqrt(2448) + -4)*4)**2. -4608*sqrt(17) + 626832 Simplify (sqrt(19) + 1 + 5)*-3. -18 - 3*sqrt(19) Simplify ((sqrt(99) + sqrt(99)*1)*1)/sqrt(9). 2*sqrt(11) Simplify (-2*-1*sqrt(88))/(sqrt(56)/(sqrt(7)*2))*5. 20*sqrt(11) Simplify sqrt(1331)*2 + 1 + sqrt(1331) + (-3*(1 + sqrt(1331) + sqrt(1331)))**2. 429*sqrt(11) + 47926 Simplify (sqrt(72)*3)/(6*sqrt(6)*1). sqrt(3) Simplify 0 + ((sqrt(3648)*-1)/sqrt(3))**2. 1216 Simplify (-3 + sqrt(5))*6*-3. -18*sqrt(5) + 54 Simplify sqrt(190)/sqrt(10)*-2 - (sqrt(171)/sqrt(9) + sqrt(19))*-4. 6*sqrt(19) Simplify -2*sqrt(3) + -1 - -2*(sqrt(3) + 1). 1 Simplify sqrt(17) - (4*sqrt(833))**2 - (5*2*sqrt(17) + sqrt(17)). -13328 - 10*sqrt(17) Simplify (5*sqrt(96)/sqrt(2))**2. 1200 Simplify (sqrt(108) - -1*sqrt(108))**2 + 4. 436 Simplify (sqrt(11) + 5 + 2 + sqrt(11))**2 + sqrt(11) - sqrt(11) - (sqrt(11) + sqrt(99) + -5). 24*sqrt(11) + 98 Simplify (-6*(-3 + sqrt(1584) + 1 + sqrt(1584) + 3))**2. 1728*sqrt(11) + 228132 Simplify -4 + sqrt(57)/sqrt(3) - sqrt(19)*2*5. -9*sqrt(19) - 4 Simplify 1 + 1*sqrt(125) + sqrt(125). 1 + 10*sqrt(5) Simplify 4*(sqrt(56)*-1)/sqrt(8). -4*sqrt(7) Simplify -4 + sqrt(208) + 0. -4 + 4*sqrt(13) Simplify sqrt(1008) - 2*sqrt(1008) - (sqrt(700) + -1 + sqrt(700) - sqrt(700))**2. -701 + 8*sqrt(7) Simplify (3 + 1 + (sqrt(19) - sqrt(38)/sqrt(2))*-5)**2. 16 Simplify 3 + (sqrt(19) - ((sqrt(19) + 4)*-3)**2) + -3. -315 - 71*sqrt(19) Simplify (sqrt(396)/sqrt(4) + 1 + sqrt(1584) + -5)**2. -120*sqrt(11) + 2491 Simplify (1*sqrt(76))**2*-4. -304 Simplify (sqrt(170)/((sqrt(110)*2)/sqrt(11)))**2. 17/4 Simplify ((sqrt(171) + 2 - sqrt(171)) + sqrt(171))**2 + ((4*sqrt(38))/sqrt(2))**2. 12*sqrt(19) + 479 Simplify (sqrt(120)/sqrt(3))/sqrt(8) + sqrt(5) + (sqrt(80) - (-3 + sqrt(80)) - sqrt(80))**2. -22*sqrt(5) + 89 Simplify ((sqrt(11)*1 - sqrt(11))**2 + sqrt(11))*-5 + (sqrt(33)*-3)/sqrt(3). -8*sqrt(11) Simplify ((2*sqrt(209) + sqrt(209))*-4)/(((sqrt(55)/sqrt(5) - sqrt(11)) + sqrt(11))*-5). 12*sqrt(19)/5 Simplify -1*((1*sqrt(78))/sqrt(6)*-1)**2. -13 Simplify -5*(-1 + sqrt(200)) + 0. -50*sqrt(2) + 5 Simplify 4*(sqrt(45)*1)**2*-3. -540 Simplify (-3*sqrt(13))**2*2*1. 234 Simplify (-4*(sqrt(1539) + 1) + sqrt(1539))**2 - sqrt(57)/sqrt(3)*-5*5. 241*sqrt(19) + 13867 Simplify ((sqrt(126)/sqrt(3))/sqrt(2))/(sqrt(243)*-2 + sqrt(243)). -sqrt(7)/9 Simplify (sqrt(250)/((sqrt(5) + sqrt(20)/sqrt(4))*-2) + 4)**2. -10*sqrt(2) + 153/8 Simplify -1 + (sqrt(1872)*-1*4)**2. 29951 Simplify sqrt(198)/(sqrt(22)/sqrt(2))*-1. -3*sqrt(2) Simplify 5*(-5*-2*(5 + sqrt(5)*-1))**2. -5000*sqrt(5) + 15000 Simplify 1 + 4*sqrt(1008)*1. 1 + 48*sqrt(7) Simplify (-1*sqrt(1088)*-4)**2. 17408 Simplify (sqrt(363) + 1)**2 - -1*(sqrt(3) + 2). 23*sqrt(3) + 366 Simplify -1*(sqrt(5)*-3)**2 + sqrt(60)/sqrt(3). -45 + 2*sqrt(5) Simplify 4 + -1*sqrt(50). -5*sqrt(2) + 4 Simplify (4*-1*sqrt(38))/(sqrt(242)*-2). 2*sqrt(19)/11 Simplify (1*sqrt(72)*-1)**2. 72 Simplify sqrt(3) + -1*(sqrt(27))**2 + 5. -22 + sqrt(3) Simplify -3 + (sqrt(2) - 2*sqrt(2)) + -2. -5 - sqrt(2) Simplify ((sqrt(1872) - (sqrt(1872) + (sqrt(1872) - (sqrt(1872) - (sqrt(1872) - -6*(0 + sqrt(1872))))))) + (sqrt(1872) - 1*(sqrt(1872) + -2)))**2. -336*sqrt(13) + 91732 Simplify (6*sqrt(21))/sqrt(3) + 0. 6*sqrt(7) Simplify (sqrt(77) - 3*sqrt(77))/sqrt(11) + (5 + -2*sqrt(7))**2. -22*sqrt(7) + 53 Simplify (sqrt(77)*-3)/sqrt(11) + sqrt(7) + (-3*sqrt(1008) - sqrt(1008)). -50*sqrt(7) Simplify (sqrt(30) - (sqrt(30) - 1*sqrt(120) - sqrt(30)))/(sqrt(490)*-1 + sqrt(10)). -sqrt(3)/2 Simplify 4*sqrt(57)/
{ "pile_set_name": "DM Mathematics" }
9 - 4*p. What is b(5)? 1 Suppose -2*u + 10 = 4*p, -4*u - 5*p = u. Let j(z) = -7 + z + 8 + 0*z. What is j(u)? -4 Let i(p) = 2*p + 41. Let z be i(-19). Let x be 5/(15/(-4))*-3. Let k(d) = 0*d**2 - 1 - d**2 + x*d - 1. Calculate k(z). 1 Let g = 4 - 1. Let o(z) be the first derivative of -z**4/4 + 2*z**3/3 + 5*z**2/2 - 3*z - 12. What is o(g)? 3 Let q be (3/2)/(9/12). Suppose 5*d - q*d = 0. Let c(r) be the second derivative of -r**4/12 - r**3/6 + 7*r**2/2 - 32*r. Calculate c(d). 7 Let x be 7/2 + (-27)/(-18). Let c(m) = -m + 3. Calculate c(x). -2 Let r(o) = 11*o + 5. Let x(c) = 22*c + 5. Let g(q) = 22*q + 4. Let n(d) = -4*g(d) + 5*x(d). Let f(v) = 4*n(v) - 7*r(v). Determine f(-1). -10 Let n(v) = -8*v + 0*v**3 + 2*v + 1 - v**3 - 7*v**2 - 5. Calculate n(-6). -4 Let f = 4 + 0. Suppose 16 + 0 = -f*c. Let g(y) = -y**2 - 3*y + 4. Give g(c). 0 Let t = 2 + 3. Suppose 0 = -4*m - d + 15, -9 - 1 = -5*m - 3*d. Suppose -m = t*a - 0. Let b(f) = -8*f**3 + f**2. Give b(a). 9 Let d(z) = -z**3 + 4*z**2 + 4*z + 7. Let j be d(5). Let w(m) = m + 2. Let v(o) = -6*o - 11. Let s(f) = j*v(f) + 11*w(f). Give s(-4). 4 Let w(i) = 1. Let h(s) = 2*s - 10. Let q = 0 + -1. Let c(r) = q*h(r) - 8*w(r). Give c(3). -4 Let z = 1 + -1. Suppose z*i = i + 5. Let a(x) = -5*x**2 + 11*x**2 - 5*x**2 + 4*x. Determine a(i). 5 Let s(y) = -y**2 + 2. Let l = 6 - 7. Let g be l - 1 - (-2 - 2). What is s(g)? -2 Let c(f) = f + 12. Let y be c(-17). Let k(z) = 3*z + 3. Determine k(y). -12 Let v(i) = i**3 - 6*i**2 + 5. Suppose 3*r + l - 27 = 24, -l + 35 = 2*r. Let p = r - 11. Suppose -p*k + 11 = -19. Give v(k). 5 Let o be -1*(-3)/(-6)*2. Let s(c) = -c**3 + c + 2. Let h be s(0). Let u(m) = -2*m**h - m**2 + 3 - 2 + m. Calculate u(o). -3 Suppose 0 = -5*z + 4*f - 26, -2*z - 3*f + 2 = 3*z. Let y be -1 + (-2 - z/2). Let c(n) = 4*n + 2. Let l(m) = -m**2 + m + 1. Let t(w) = c(w) - 2*l(w). Give t(y). 4 Let i(y) be the second derivative of y**6/60 - y**5/30 - y**4/8 + y**3/3 - 5*y**2 + 7*y. Let u(b) be the first derivative of i(b). Give u(2). 4 Let r = -5 + 7. Let j(a) = -2*a**3 + 4*a**2 - 4*a + 2. Determine j(r). -6 Suppose 0 = 4*s + 5 - 13. Let j(g) = g - 2*g + 4 + s*g. Suppose m = -2*a + 8, 2*a + 3*m - 18 = -2*a. Give j(a). 7 Let d = -45 - -41. Let p(q) = 4*q**2 + 3*q + 4. Let k(h) = 5*h**2 + 2*h + 5. Let j(m) = -3*k(m) + 4*p(m). Determine j(d). -7 Let g(y) = 0 + 40*y - 2 - 46*y - 4*y**2 + y**3. Give g(5). -7 Let u(l) = -l - 1. Let s(w) = 9*w + 5. Let y(h) = -s(h) - 6*u(h). Calculate y(-2). 7 Let u(n) = n. Suppose 5*t - 10 = -30. Suppose 2*x - 4*f = -32, -2*x - 6*f + f = 5. Let i be (-55)/x - (-2)/t. Give u(i). 5 Let a = 5 - 8. Let n(z) = z**2 - 3. Let s be n(a). Suppose 3*g = s*g + 15. Let x(u) = u**3 + 6*u**2 + 3*u - 7. What is x(g)? 3 Let a = -8 - -6. Let x be (-38)/(-14) - (-8)/28. Let r = x + a. Let d(n) = 4*n. What is d(r)? 4 Let m(x) be the second derivative of -7*x + 1/12*x**4 + 1/2*x**2 + 0 - x**3. Calculate m(4). -7 Let d = 13 + -8. Suppose -d*n + 17 = -3*u, 3*n + 5*u = 4*u - 1. Let r(c) = -4*c - 1. Determine r(n). -5 Let u be 3/(30/(-9) + 3). Let n(b) = -b - 8. Calculate n(u). 1 Let l(s) be the first derivative of s**3/3 + s**2/2 + 7*s + 5. What is l(0)? 7 Suppose 4*o = 5*s + 14, -o = -4*o + 3*s + 9. Let q(c) = 5*c + 2*c - o - 5 - c**2 + 0*c. Calculate q(4). 6 Let t(d) = d + 5. Suppose -3*s + 7 = 5*m, -5*s = -2*m + m + 35. Let a be t(s). Let f(j) = -j**3 - 1. Determine f(a). 0 Let c(d) = 64*d**2 - 8*d - 36*d**2 - 27*d**2 + 10. Calculate c(7). 3 Let l(f) = 6*f. Let q be l(-1). Let n(z) = -2*z - 1. Let h(j) = -j. Let o(c) = 6*h(c) - 4*n(c). Determine o(q). -8 Suppose -4*o = w - 17, 3*o - 2*w - 14 = -3*w. Suppose -q + o*q + 12 = 0. Let d(p) = -p**3 - 5*p**2 + 6*p - 5. What is d(q)? -5 Let g(r) = 2*r + 8. Let b be g(-6). Let k be (0 - 0)/(3 + b). Let h(z) = -z**2 - z. Let l(o) = o**3 + 3*o**2 + 2*o + 7. Let v(c) = 2*h(c) + l(c). Give v(k). 7 Let b(x) = x**3 + 2*x**2 + 4*x + 6. Let a(u) = 2*u**3 + 5*u**2 + 9*u + 12. Let v(c) = 3*a(c) - 5*b(c). Calculate v(-4). -6 Let t(d) be the second derivative of 1/3*d**3 + 1/2*d**4 + 0 + d + 1/2*d**2. Let u = 2 + -3. What is t(u)? 5 Let a(z) = 2*z + 9. Let c(g) = 7*g + 3. Let q(k) = 3*k + 2. Let f(v) = -2*c(v) + 5*q(v). Let o(d) = 3*a(d) - 5*f(d). Calculate o(-6). 1 Let c(k) = -k**2 - 9*k - 6. Let s be c(-6). Let m(i) = 6*i + 5*i + 4 - s*i. What is m(3)? 1 Let u be (-5)/15 + (-20)/(-6). Let p(y) = -3*y - y**3 - 2 + 3*y**u - y**3 + 0*y**2 + y**2. Calculate p(-2). 0 Let q = 26 - 24. Let n(g) = -g**q - 2*g - 3*g + 3*g - g + 4. Calculate n(-5). -6 Let c(n) = -n**2 + 12*n - 10. Let s(o) = 3*o**2 - 34*o + 28. Let x(z) = -11*c(z) - 4*s(z). Let m = -17 - -12. Let h = m + 10. Calculate x(h). -7 Let d(f) = -5 - 4*f**3 + 3*f - 6*f**2 + f**3 + 2*f**3 + 4*f**3. Let u(y) = -4*y**3 + 6*y**2 - 4*y + 4. Let q(w) = 3*d(w) + 2*u(w). What is q(6)? -1 Let g(j) = j - 5. Suppose 35 - 10 = 5*n. Give g(n). 0 Let l = 9 + -6. Let p(f) = 0 + 1 - 2*f + 2 + l. Determine p(5). -4 Let h(f) = -3*f**3 + 25*f**2 - 8*f + 25. Let v(z) = -z**3 + 8*z**2 - 3*z + 8. Let n(t) = -2*h(t) + 7*v(t). Let d be n(5). Let u(w) = -2*w + 5. Determine u(d). -7 Suppose -2*o + 1 - 11 = -i, 4*o + 20 = 0. Let x(l) = -l**3 + i*l**3 - l - l + 3*l**2 + 1. Suppose -3*w + 9 = -3*p, -21 + 1 = -5*w. Give x(p). 1 Let d(y) be the third derivative of y**5/60 + y**4/24 - 3*y**3/2 - 7*y**2. Calculate d(0). -9 Let z(a) be the second derivative of a**4/12 + a**3/2 + a**2 - a. Let o(d) = -2*d + 22. Let f be o(12). Determine z(f). 0 Let s(t) = 2*t**2 + 6*t + 4. Let f be s(-3). Let b(j) = -j**2 + 3*j - 4. Calculate b(f). -8 Let y(f) = -1 - 2 + 2. Let j(p) be the third derivative of -p**4/12 - p**3/3 - 3*p**2. Let h(v) = j(v) - y(v). Give h(-4). 7 Let c(k) be the third derivative of -3*k**2 - 1/2*k**3 + 0*k + 0 + 1/8*k**4. Let g = -3 + 6. What is c(g)? 6 Let b(l) = l**3 - l**2 - l + 1. Let p(s) = -7*s**3 + s**2 + 2*s - 6. Let t = 6 + -5. Let n(f) = t*p(f) + 6*b(f). Give n(-4). 0 Let v(k) = 3*k + 2. Let j = -4 + 1. What is v(j)? -7 Let i(x) = 3*x**2 - 6*x + 3. Let b(m) = -13*m**2 + 24*m - 11. Let n(u) = -2*b(u) - 9*i(u). Calculate n(5). 0 Let w(g) = g**3 - 8*g**2 + 2*g - 12. Let y be w(8). Let m(n) = 4 + 3*n - y*n**2 + 0*n**2 + 3*n**2. Give m(3). 4 Let c(m) = 2*m - 6. Let a be 3 - ((-1)/(-1))/(-1). Let x be c(a). Let w(g) = 4*g - 2. Give w(x). 6 Let r(j) = 2*j**2 + j. Let o = 48 + -49. Determine r(o). 1 Let x(h) = h**3 - 2*h**2 - h + 2. Suppose 2*m + m + 18 = 0. Let f = 8 + m. What is x(f)? 0 Let k(n) = -n**3 - 3*n**2 + 5*n - 2. Let y = 143 - 147. Calculate k(y). -6 Let x(g) = g**2 - 2*g - 2. Let b be x(2). Let l(y) = 3*y**2 + 4*y - 1. Let r(u) = -16*u**2 - 21*u + 4. Let z(q) = b*r(q) - 11*l(q). What is z(-4)? -5 Let r be (-4)/(-14) + (-12)/(-7). Let m(y) = 1 - 5*y + r*y + 2*y + 0*y. Calculate m(-5). 6 Let n(h) be the first derivative of -h**4/4 - 2*h**3 + 2*h + 4. Suppose 20 = -3*q - z, -3*z = 3*q - 0*z + 24. Determine n(q). 2 Let c = 8 + -14. Let x(n) be the second derivative of n**5/20 + n**4/2 - n**3/3 - 3*n**2 + n. What is x(c)? 6 Let t(m) = -m**2 + m - 7. Let g(v) = v**3 + 5*v**2 - 7*v - 6. Suppose 0*r + 3*r = -18. Let x be g(r). Determine t(x). -7 Let m(y) = y**3 - 4*y**2 + 2*y - 5. Suppose 2*c + 10 = -3*c. Let h = c + 6. Calculate m(h). 3 Let u(h) = h + 2. Let k(v) = -7*v - 7. Let g(o) = -k(o) - 3*u(o). Calculate g(-2). -7 Let g = 5 - 3. Let j(t) = 8 + 3 - 5*t + 5*t - g*t. Let l be j(8). Let o(x) = x**3 + 5*x**2 - 7. Determine o(l). -7 Let n(k) = k + 1. Let v(b) = b**3 - 2*b**2 - 3*b - 3. Let c be v(3). Determine n(c). -2 Let d(s) = -98 + 189 - 92 - 12*s**2 - 2*s. What is d(-1)? -11 Let a(f) = -7*f**2 + 1495 - 1495 - f**3 - 6*f. Give a(-6). 0 Let p(c) = -c**3 + 4*c**2 - 3*c + 6. Let j be p(3). Let r(z) = z - 4. What is r(j)? 2 Let c(a) be the third derivative of a**9/60480 - a**8/5040 - a**7/720 + a**6/144 + a**5/20 + 2*a**2. Let v(w) be the third derivative of c(w). What is v(5)? -5 Let w = 14 + -10. Let h(c) = 1 + 3*c - 4*c + w - 4. What is h(1)? 0 Let w(c) = -9*c**3 + 3*c + 3. Let q(b) = 13*b**3 - 4*b - 4. Let x(v) = 5*q(v) + 7*w(v). Determine x(-1). -2 Let a(j) = 5*j**2 - 2*j - 4. Let y(f) = -14*f**2 + 5*f + 11. Let l(u) = 17*a(u) + 6*y(u). Determine l(3). -5 Let n(z) = -2 - z + 0*z**3 - 3 - z**3 - z**2. Suppose 0 = 7*x - 2*x.
{ "pile_set_name": "DM Mathematics" }
34 Calculate 0.23*-2. -0.46 3.1 * -0.311 -0.9641 1.4 * -0.27 -0.378 117*0.2 23.4 What is 131 times -2? -262 Multiply -8 and -7. 56 What is -0.1 times 26? -2.6 What is the product of -70 and -74? 5180 Product of 0.3 and 0.0082. 0.00246 Calculate 0.1*-0.014. -0.0014 What is 303 times -17? -5151 What is the product of -23.914 and 0.3? -7.1742 Product of 2.49 and 48. 119.52 Calculate -4*-0.0529. 0.2116 What is the product of -0.048 and 4? -0.192 What is -5 times 7701? -38505 Work out 11 * -4.8. -52.8 Product of -0.5 and -36. 18 Product of 8 and 0.4. 3.2 -2.34 * 2 -4.68 Product of -1.11 and 0.13. -0.1443 0.2*-0.3 -0.06 Product of -0.014 and -0.5. 0.007 Multiply 1 and -1.282. -1.282 Work out 0.1 * -10. -1 128 * 0.3 38.4 Work out 8 * -97. -776 -8*-0.73 5.84 -37.9 * 4 -151.6 Work out -4084 * 3. -12252 Multiply 0.94 and 0.9. 0.846 What is the product of 1 and 0.52? 0.52 What is the product of -0.1 and -0.0104? 0.00104 5 * 0.032 0.16 -13440*-0.5 6720 Multiply 0.3 and 10. 3 What is the product of 19 and 1.1? 20.9 1318 times 0.1 131.8 Calculate 0.148*79. 11.692 Multiply -2 and 1481. -2962 Product of -2.9 and 2.6. -7.54 Multiply -1225 and -8. 9800 -432 times 1 -432 Calculate 0*8.8. 0 5*-463.7 -2318.5 Work out -4 * -212. 848 Calculate -2.3*-0.4. 0.92 5*-612.7 -3063.5 -0.4 times 48 -19.2 What is the product of 1 and 0.16? 0.16 Calculate -51*4. -204 Product of -3 and -64.8. 194.4 -0.0512 times -0.01 0.000512 Work out 0.1 * -0.5683. -0.05683 4 * 5 20 Product of 0.4 and -1.04. -0.416 -132*0.13 -17.16 194.29 times -0.1 -19.429 -0.26048 times 0.4 -0.104192 What is -244 times -0.1? 24.4 What is -2 times -0.04816? 0.09632 Calculate 0*121. 0 What is the product of 0.4 and 137? 54.8 -2.3 * 0.6 -1.38 Product of -4 and -118. 472 Multiply 9 and -0.196. -1.764 11*147 1617 -5 times 634 -3170 Work out 48 * -39. -1872 Product of -12 and 565. -6780 -0.1*0.3747 -0.03747 What is the product of 12.62 and 0.06? 0.7572 What is -27446 times 0.5? -13723 Product of 0.019 and -23. -0.437 Product of -103 and -2. 206 What is the product of -0.1 and 3.5? -0.35 What is -5.31 times -2? 10.62 Calculate 0*491. 0 Multiply -0.1 and -47. 4.7 Multiply -3 and 153.2. -459.6 -16 times 11 -176 -0.2 * -99 19.8 0.24924 times -2 -0.49848 Calculate 0.5*-78. -39 What is the product of 161 and -13? -2093 Product of 1.366 and -0.1. -0.1366 -186 * -2.5 465 0.18 * 0.2 0.036 0.073*3 0.219 What is the product of 4 and 0.09? 0.36 What is the product of 3 and -12? -36 Calculate 9*-17. -153 What is -0.1 times 26.16? -2.616 Product of 0.12 and -7.5. -0.9 -2*0.0079 -0.0158 Calculate 3.7*-56. -207.2 What is the product of 11.95 and -9? -107.55 -937 times 0.08 -74.96 0.484 times 0.4 0.1936 124 times -0.1 -12.4 Multiply 0 and -3.3. 0 Multiply 0.18 and -3. -0.54 Work out 0.142 * -0.01. -0.00142 -0.4*-18 7.2 -0.088*-0.09 0.00792 Multiply 0.08 and -146. -11.68 Multiply -1 and 4.33. -4.33 Calculate -0.311*-0.1. 0.0311 What is the product of -1.328 and -0.1? 0.1328 Work out 11 * 6. 66 Product of 5 and -0.006. -0.03 0.1 times 32.3 3.23 Work out -4.5 * -0.093. 0.4185 Multiply 1.945 and 0.16. 0.3112 Calculate -11*-21. 231 13*-55 -715 -10 * 1724 -17240 What is the product of -1.1 and -86? 94.6 What is the product of 5 and -0.0567? -0.2835 Calculate -0.4*-0.051. 0.0204 Product of -0.3 and -95.2. 28.56 Product of 10 and 54. 540 Product of 1 and 0.0247. 0.0247 Work out -15793 * 0.5. -7896.5 621 * 4 2484 Product of 0.3 and 127. 38.1 What is the product of -16 and -21? 336 -1.1 times -1.637 1.8007 Multiply 1 and 1.04. 1.04 What is -12 times -0.043? 0.516 0.05*-5.1 -0.255 Calculate 2*-2.86. -5.72 -1.2*4 -4.8 Work out -3 * 6.82. -20.46 Work out -0.5 * 0.057. -0.0285 Work out 0.21 * 7. 1.47 What is the product of 535 and -0.4? -214 Product of 1 and -6.89. -6.89 -0.389 times 0.4 -0.1556 Product of -3 and -82. 246 3*-4.7 -14.1 Work out 2.7 * 97. 261.9 3.9 times -15 -58.5 What is 223 times 4? 892 Product of 2.59 and -0.6. -1.554 Calculate -0.2*-0.1253. 0.02506 Calculate -1.7009*-0.3. 0.51027 Multiply 8 and -258. -2064 What is -457 times 0.1? -45.7 Calculate -1316*2. -2632 Calculate 1*6.6. 6.6 -16164 * 0.2 -3232.8 8*0 0 Work out -1946 * -0.1. 194.6 Work out -0.008 * 0.3. -0.0024 123 * 54 6642 Calculate -2*9. -18 What is -570 times 11? -6270 Product of -186 and -0.4. 74.4 4.01 * -5 -20.05 What is the product of -2 and 2264? -4528 Multiply 1243 and -0.3. -372.9 Calculate -0.02*0.438. -0.00876 What is the product of 2.1 and 27? 56.7 2673*0.5 1336.5 What is 5.381 times 0.4? 2.1524 Product of 0.012 and -5. -0.06 What is 140 times -0.1? -14 15 * 5 75 Product of 2.1 and 0.06. 0.126 What is 319 times -0.3? -95.7 Calculate -0.0688*-0.2. 0.01376 Product of -0.033 and -120. 3.96 Multiply 2235 and 3. 6705 Calculate -75*1.9. -142.5 Multiply 4 and -114.7. -458.8 Work out -20.3 * -0.4. 8.12 Product of -432 and -0.4. 172.8 Product of -363 and -25. 9075 What is the product of -0.01 and 5? -0.05 Multiply -0.53 and -0.5. 0.265 Work out -0.4 * -0.4. 0.16 Product of 3 and 898. 2694 Work out 175 * 0.3. 52.5 -12776 * -0.4 5110.4 What is the product of -17 and 0.9? -15.3 567*3 1701 Multiply -1.8 and -0.1. 0.18 Work out 82 * 5. 410 What is the product of -7 and 0.01? -0.07 Calculate -12991*0.5. -6495.5 0.2*-4.766 -0.9532 Calculate 0.2*-103. -20.6 Product of -0.079 and 0.92. -0.07268 Calculate -553*-0.1. 55.3 Product of 3524 and 0. 0 Calculate 0.2*354. 70.8 7556 times 3 22668 0.36 * 3 1.08 Calculate -32.6*-1. 32.6 What is -339 times -0.15? 50.85 Multiply -0.5 and -0.115. 0.0575 1.1 times 0.36 0.396 Work out 2.05 * -10. -20.5 Multiply 1553 and 4. 6212 17.7 * -3 -53.1 440 * -5 -2200 Product of 29 and -41. -1189 Work out 17 * 3. 51 Work out 2.85 * -0.5. -1.425 Calculate 197*-2. -394 Work out -7 * -0.09. 0.63 -6*0.37 -2.22 -42 * 0.11 -4.62 -0.6 * -3.3 1.98 Multiply -3937 and -0.4. 1574.8 Work out -34 * 0.0559. -1.9006 Multiply -1 and -1.8. 1.8 What is 5 times 2.21? 11.05 Calculate 1236*0.2. 247.2 Calculate 4*-53. -212 -956*-0.5 478 Product of -0.1 and -17. 1.7 Multiply -4 and -70. 280 -0.916*-0.3 0.2748 326*9 2934 Calculate -3*-0.159. 0.477 Work out 3 * 101. 303 -0.14 times 186 -26.04 Work out 4847 * -0.4. -1938.8 71.1 times 0.04 2.844 Calculate 7124*-0.4. -2849.6 -25*0.24 -6 0.54*30 16.2 37*-0.16 -5.92 What is -0.2 times -142? 28.4 What is the product of 223.7 and -0.4? -89.48 1 * -0.82 -0.82 What is -0.147 times 6? -0.882 -79 times 1.4 -110.6 What is the product of 103 and -0.07? -7.21 Multiply 5 and -68. -340 What is the product of 11.3 and 5? 56.5 -43.2*-35 1512 What is -5 times 6? -30 Calculate 0.529*-0.1. -0.0529 -0.4*81 -32.4 Product of 0.86 and -0.1. -0.086 Product of 5.51 and -4. -22.04 6 times 0.037 0.222 0.17 times 16.4 2.788 0.29 times 0.3 0.087 -0.5 times -5.43 2.715 Calculate -0.2*61.5. -12.3 -0.2 * 0.82 -0.164 Product of -31.6 and 0. 0 -0.04*0.005 -0.0002 15 times -9 -135 Product of 9.414 and 0.2. 1.8828 What is the product of -0.2 and 0.2967? -0.05934 Product of 0.124 and -5. -0.62 Product of 0.9 and 44. 39.6 Calculate 24*-5. -120 What is the product of -1 and 0.378? -0.378 6 times -35.7 -214.2 Calculate 0.014*0.6. 0.0084 What is the product of 1 and -95? -95 Product of 0.8539 and 4. 3.4156 Calculate -0.17*0.0486. -0.008262 Work out 0.05 * -0.05. -0.0025 -365 * -0.3 109.5 What is 5 times -4515? -22575 Multiply 1.1 and -1. -1.1 -0.2526 * -0.2 0.05052 -0.07 * 61 -4.27 60 times 0.4 24 -0.87*-6 5.22 4 * -0.73 -2.92 Calculate -53690*-0.1. 5369 What is the product of 1 and -13.4? -13.4 Product of -0.1163 and -3. 0.3489 Work out 497 * 0. 0 Work out 214 * -0.5. -107 Multiply 0.04 and 12. 0.48 0.4*0.3 0.12 Product of 0.11 and 0.1. 0.011 Work out 0 * 0.56. 0 0.077 times -0.1 -0.0077 Work out -29.4 * 0.1. -2.94 Product of -154 and -0.1. 15.4 Work out -4 * 0.671. -2.684 What is the product of 0.02 and -24? -0.48 What is 697 times 0.2? 139.4 Work out -0.07 * 17. -1.19 -7*-0.37 2.59 What is the product of -385.47 and 0.4? -154.188 Product of -123 and 4. -492 -0.4 times 3145 -1258 Work out -5 * 0.063. -0.315 -13*-167 2171 Calculate -0.1*-76. 7.6 What is the product of -6 and 6.3? -37.8 0.024 times 100 2.4 Work out -152 * -0.83. 126.16 3 * -14 -42 What is 211 times 2? 422 What is -6 times -200? 1200 2.5 times 147 367.5 Work out -598 * -0.5. 299 -0.4 times 4.51 -
{ "pile_set_name": "DM Mathematics" }
, s: 1, m: 2, o: 2, r: 1, g: 1}. What is prob of picking 1 g and 1 o? 1/14 What is prob of picking 2 z when two letters picked without replacement from llpzzzzzgzpz? 7/22 What is prob of picking 1 d and 1 w when two letters picked without replacement from ddwwwddddw? 8/15 What is prob of picking 1 q and 2 n when three letters picked without replacement from {q: 2, e: 5, n: 3, s: 1, o: 1}? 3/110 Three letters picked without replacement from aabaabababba. Give prob of picking 2 a and 1 b. 21/44 Two letters picked without replacement from {j: 2, f: 5}. Give prob of picking 2 j. 1/21 Two letters picked without replacement from elltl. What is prob of picking 2 l? 3/10 Four letters picked without replacement from {u: 4, y: 2}. What is prob of picking 4 u? 1/15 Three letters picked without replacement from vkavkvkcravkkkkk. Give prob of picking 2 a and 1 r. 1/560 Three letters picked without replacement from {d: 1, l: 3, a: 5}. What is prob of picking 2 l and 1 a? 5/28 Three letters picked without replacement from {a: 4, z: 10, g: 5}. Give prob of picking 1 a, 1 g, and 1 z. 200/969 Four letters picked without replacement from pgksgsgkks. What is prob of picking 3 g and 1 p? 1/210 Calculate prob of picking 2 v when two letters picked without replacement from {y: 2, v: 4}. 2/5 What is prob of picking 1 h and 1 n when two letters picked without replacement from jryfynyyjnryhyrjy? 1/68 Calculate prob of picking 3 g and 1 c when four letters picked without replacement from ccgcccgcgc. 1/30 Three letters picked without replacement from ynnncnnyenonacyee. What is prob of picking 2 c and 1 y? 3/680 What is prob of picking 1 r and 1 c when two letters picked without replacement from cccqcbbbbnr? 4/55 Four letters picked without replacement from ylmmyomyomjlvy. What is prob of picking 1 l, 1 m, and 2 o? 8/1001 Two letters picked without replacement from {n: 2, w: 3, t: 1, d: 1, z: 6, c: 2}. Give prob of picking 1 d and 1 t. 1/105 Calculate prob of picking 1 i and 2 o when three letters picked without replacement from {o: 7, i: 5}. 21/44 Three letters picked without replacement from {e: 1, j: 1, b: 5, y: 2}. What is prob of picking 2 b and 1 j? 5/42 Two letters picked without replacement from tththzttttthzttthz. What is prob of picking 1 z and 1 h? 4/51 Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 6, k: 12}. 8/17 What is prob of picking 1 b, 1 q, and 1 e when three letters picked without replacement from yqcqbqyeqyvcccc? 4/455 Calculate prob of picking 3 j when three letters picked without replacement from {y: 1, u: 2, j: 1}. 0 What is prob of picking 3 l when three letters picked without replacement from llllllzlfffzjlzj? 1/10 Calculate prob of picking 1 q and 1 i when two letters picked without replacement from {b: 1, i: 2, a: 5, q: 1}. 1/18 Four letters picked without replacement from {g: 1, s: 4, d: 1, z: 2, h: 2}. Give prob of picking 1 h, 1 g, 1 s, and 1 d. 4/105 Four letters picked without replacement from {o: 5, n: 12, x: 2}. Give prob of picking 1 n, 1 o, and 2 x. 5/323 What is prob of picking 1 v and 1 e when two letters picked without replacement from {j: 3, h: 8, e: 4, v: 2, r: 2}? 8/171 Three letters picked without replacement from ggzzgz. What is prob of picking 3 g? 1/20 Calculate prob of picking 2 d and 1 n when three letters picked without replacement from {j: 2, d: 13, n: 5}. 13/38 Calculate prob of picking 1 m and 1 a when two letters picked without replacement from aaamvvvxavvavv. 5/91 What is prob of picking 4 s when four letters picked without replacement from sswsmwswswwwswwwssss? 14/323 What is prob of picking 2 r and 1 l when three letters picked without replacement from {l: 3, z: 2, r: 3}? 9/56 Two letters picked without replacement from bllllblbllll. Give prob of picking 2 l. 6/11 What is prob of picking 2 l and 1 i when three letters picked without replacement from {l: 3, q: 7, i: 4}? 3/91 Calculate prob of picking 1 r, 1 o, and 1 s when three letters picked without replacement from {k: 2, r: 1, y: 2, o: 1, w: 2, s: 1}. 1/84 What is prob of picking 1 s, 1 o, and 1 g when three letters picked without replacement from okxsskkxgskssosx? 3/140 What is prob of picking 1 w and 1 i when two letters picked without replacement from {u: 3, i: 3, p: 1, m: 1, s: 1, w: 5}? 15/91 Three letters picked without replacement from {y: 5, a: 2}. Give prob of picking 2 a and 1 y. 1/7 Three letters picked without replacement from {j: 1, g: 6, o: 3, u: 6, i: 1}. What is prob of picking 1 u, 1 j, and 1 o? 9/340 Three letters picked without replacement from {n: 10, o: 4}. Give prob of picking 2 o and 1 n. 15/91 What is prob of picking 1 b, 1 g, and 1 w when three letters picked without replacement from {g: 4, w: 1, r: 8, b: 2}? 8/455 Four letters picked without replacement from lzzllzlzllzlz. What is prob of picking 2 z and 2 l? 63/143 What is prob of picking 2 w and 1 a when three letters picked without replacement from wwrrafrrffrrfrrrr? 1/680 Calculate prob of picking 2 t when two letters picked without replacement from {t: 4, d: 6, j: 1}. 6/55 What is prob of picking 2 s and 1 f when three letters picked without replacement from jssjjffsjfjjfsfjsjcj? 5/114 Three letters picked without replacement from {z: 3, r: 2}. What is prob of picking 3 z? 1/10 Four letters picked without replacement from {f: 4, l: 2, z: 1, p: 4, g: 2, a: 1}. Give prob of picking 1 z, 2 g, and 1 f. 4/1001 Four letters picked without replacement from {h: 4, c: 2, e: 4}. What is prob of picking 1 e, 2 h, and 1 c? 8/35 Two letters picked without replacement from {y: 2, p: 1, h: 3, v: 3, r: 3, m: 1}. Give prob of picking 1 y and 1 p. 1/39 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {g: 1, o: 1, k: 1, f: 1, b: 1}. 1/10 What is prob of picking 3 g when three letters picked without replacement from {g: 3, z: 3, t: 1, e: 1, s: 5}? 1/286 What is prob of picking 1 k and 1 a when two letters picked without replacement from qawmnwmak? 1/18 Two letters picked without replacement from {d: 4, m: 2, i: 1, b: 4, y: 6, w: 1}. What is prob of picking 1 m and 1 b? 8/153 Four letters picked without replacement from wflaooulf. What is prob of picking 2 l, 1 w, and 1 o? 1/63 Four letters picked without replacement from oiooioiiooo. What is prob of picking 1 o and 3 i? 14/165 Calculate prob of picking 2 d and 1 a when three letters picked without replacement from {a: 4, d: 4, f: 9}. 3/85 Two letters picked without replacement from {g: 1, i: 1, k: 2, r: 1, b: 2}. Give prob of picking 1 k and 1 b. 4/21 Two letters picked without replacement from {x: 1, p: 1, o: 3, n: 4, e: 5}. What is prob of picking 1 n and 1 e? 20/91 Two letters picked without replacement from zzzyy. What is prob of picking 2 y? 1/10 Calculate prob of picking 1 g and 1 r when two letters picked without replacement from grtg. 1/3 What is prob of picking 2 s and 1 d when three letters picked without replacement from dasdsdadadaa? 1/44 Three letters picked without replacement from {b: 3, x: 2, u: 4}. Give prob of picking 1 u and 2 x. 1/21 What is prob of picking 1 l and 1 x when two letters picked without replacement from {x: 10, s: 1, l: 5, b: 1}? 25/68 Calculate prob of picking 1 r and 1 j when two letters picked without replacement from pccjrrppcc. 2/45 What is prob of picking 1 c and 1 s when two letters picked without replacement from cspqpppn? 1/28 Two letters picked without replacement from {e: 1, i: 5, r: 4}. Give prob of picking 2 r. 2/15 Calculate prob of picking 3 o when three letters picked without replacement from {y: 8, o: 3, k: 2, x: 6}. 1/969 Two letters picked without replacement from {v: 2, j: 2, s: 6, c: 3, x: 1}. Give prob of picking 1 j and 1 s. 12/91 Calculate prob of picking 2 t when two letters picked without replacement from nnnntnnnnntnnt. 3/91 Three letters picked without replacement from vvii. Give prob of picking 1 v and 2 i. 1/2 Four letters picked without replacement from keeeeekeeeekeeeeeke. What is prob of picking 3 e and 1 k? 455/969 Three letters picked without replacement from hhbbhhbbhbbhbbhb. Give prob of picking 3 h. 1/16 What is prob of picking 4 g when four letters picked without replacement from gggggg? 1 Four
{ "pile_set_name": "DM Mathematics" }
*k + 4*u. Suppose 0 = -7*r + 3*r + 40. Suppose -54 = -k*f + 2*a, -3*a - 5 = r. What are the prime factors of f? 11 Let l be 778/12 - (-1)/6. Suppose 3*r - l = 8*r. Let v = -2 - r. What are the prime factors of v? 11 Let c(h) = -h - 19. Let y be c(0). Let b = y + 30. List the prime factors of b. 11 Let b = -9 + 17. Suppose 2*r - 41 = 17. Suppose -5*v = 4*u + b, 4*u - 5*v - r = u. List the prime factors of u. 3 Let a(z) = -z - 3. Let n = -1 - 6. List the prime factors of a(n). 2 Let m = -243 + 551. List the prime factors of m. 2, 7, 11 Suppose -6*s + s = 25. Let m(j) = j**3 + 4*j**2 - 4*j + 7. Let y be m(s). Suppose 5*d - y*d - 21 = 0. What are the prime factors of d? 7 List the prime factors of ((-9)/6*2)/(-1). 3 Let u be 3*-2 + -1 + 1. Let v = 12 + u. What are the prime factors of v? 2, 3 Let t(u) = u**2 - u + 6. Suppose 0*q + 16 = 4*q. What are the prime factors of t(q)? 2, 3 Let t(i) = 26*i + 64. List the prime factors of t(9). 2, 149 Suppose -5*f - 15 = -0*f. Let m be ((-6)/6)/((-1)/f). Let r = 6 - m. What are the prime factors of r? 3 Suppose 0 = -q + 139 - 22. What are the prime factors of q? 3, 13 Suppose y - 3*j - 84 = 0, 0*y = -3*y + 4*j + 237. List the prime factors of y. 3, 5 Suppose 3*k - 243 = -0*k. What are the prime factors of k? 3 Suppose 2*b + 3*r - 1 = 0, -b - 2*r - 1 = r. Suppose 2*n + 4 = 4*w, 20 = 3*w + b*w + 5*n. Suppose 0*z + 24 = w*z. List the prime factors of z. 2, 3 Let u be 0*3/(-9) + 0. Suppose u = -4*l - 2 + 182. List the prime factors of l. 3, 5 Let a(b) = b - 6. Let d be a(6). Suppose d = -3*x + 4*u + 95, -u - 8 = 3*u. What are the prime factors of x? 29 Suppose -3*y = -5*y + 70. List the prime factors of y. 5, 7 Suppose 3*t = t. Suppose -4*u + 5*s + 32 = t, -3*u = -s + 3*s - 47. What are the prime factors of u? 13 Suppose 0 = -3*g + 5*g + 42. Let c = 43 + g. List the prime factors of c. 2, 11 Let w = -15 - -3. List the prime factors of 27 + 3/(9/w). 23 Suppose -a + 5*n - 1 + 2 = 0, -4*n + 16 = -5*a. Let j(m) = 4 - 5 + 4*m**2 + m**3 - 4*m - 2. What are the prime factors of j(a)? 13 Suppose -4*b + 3*q + 651 = 0, -3*q + 9 = -0*q. List the prime factors of b. 3, 5, 11 Suppose 0 = 4*g - u + 7 - 49, u - 2 = 0. List the prime factors of g. 11 Suppose -2*n + 40 - 10 = 0. Let o = n + -6. What are the prime factors of o? 3 Let h(p) = 13*p - 2. List the prime factors of h(3). 37 Let t(g) = g**2 - 8*g - 7. Let r be t(9). Let s(y) = y**r + 3 - 4*y - y - 5. What are the prime factors of s(6)? 2 Let f(i) = i**2 + 2*i + 2. Suppose -2*h = -5*h - 9. List the prime factors of f(h). 5 Let z(b) = 6*b - 13. What are the prime factors of z(3)? 5 Let s be 5*2*(-1 + 2). Suppose 3*g - g - 52 = 0. Suppose s - g = -4*q. List the prime factors of q. 2 Let r(f) = -f + 13. Let c be r(9). List the prime factors of (-22)/(0 + (2 - c)). 11 Let j = 56 + -34. List the prime factors of (2 + -1)*(j - -4). 2, 13 Let o(x) = -x**3 - x**2 + x - 5. What are the prime factors of o(-4)? 3, 13 Suppose -r - 3 = -2*r. Let f = r + 11. List the prime factors of f. 2, 7 Suppose -3*o - 12 = -h, -h + 4*o + 2 + 8 = 0. Suppose -3*m + 12 + h = 0. List the prime factors of m. 2, 5 Let p(q) = 4*q**2 + 2 + 3 - 2 - 5. What are the prime factors of p(3)? 2, 17 List the prime factors of (126/(-8))/((-6)/16). 2, 3, 7 Let g be 0 + -2 - (2 + -7). Let q = 3 - g. Suppose 2*n = -y - n - 1, q = 5*y + n - 51. What are the prime factors of y? 11 Let c(t) = -t**3 + 6*t**2 + 4*t + 4. Let y(i) = -i**2 + 5*i + 6. Let w be y(5). What are the prime factors of c(w)? 2, 7 Let c be -3*(-3 + (-4)/(-6)). Let z = -5 + c. List the prime factors of 2/1*11/z. 11 Suppose 0 = -4*l - 16, -7*l + 2*l - 20 = -3*g. Suppose 4*v + g = 4. What are the prime factors of -2*(8/v)/(-2)? 2 Suppose 4*a - a - 1403 = -4*g, -1754 = -5*g - 4*a. List the prime factors of g. 2, 5, 7 Suppose -4*m - 146 = -2*d, -4*d + 178 = -0*m - 5*m. Let z = m + 55. What are the prime factors of z? 17 Let g = 18 - 13. Suppose -3*s + 8*s = 30. Suppose -g*a + 39 = -s. What are the prime factors of a? 3 Suppose -12*j + 324 = -9*j. What are the prime factors of j? 2, 3 Let l = -96 + 175. What are the prime factors of l? 79 Suppose 3*q = 2*d - 1, -q + 2 = q. Suppose 0 = 3*l, -n - d*l + 15 = -0*l. What are the prime factors of n? 3, 5 Let v be 5/15*(2 + 28). List the prime factors of 195/v + (-2)/4. 19 Let c be (-21)/(-3) + 0/(-4). Suppose -2*d - 75 = -c*d. What are the prime factors of d? 3, 5 Suppose -61 + 1511 = 10*a. What are the prime factors of a? 5, 29 Let j(c) = -c**2 + 4. Let f be j(-4). Let t = f + 28. Suppose x + x = t. List the prime factors of x. 2 Suppose -4*r - 6 = 6, 2*c + 3*r = 15. What are the prime factors of c? 2, 3 Let l(n) = -2*n + 1. Let y be l(1). Let j(o) = 8*o + 104. Let s be j(-14). Let b = y - s. What are the prime factors of b? 7 Let x = -3 + -12. Let h = 4 - x. List the prime factors of h. 19 Let h = 2 - 2. Let v = h - -2. Suppose 4*z + 20 = v*n, z - 9 = 4*z. What are the prime factors of n? 2 Let s(f) = -10*f. What are the prime factors of s(-4)? 2, 5 Let n(w) = w**2 + 7*w + 3. Let i be n(-7). Suppose -5*a + 9 + 160 = -4*q, q - 98 = -i*a. List the prime factors of a. 3, 11 List the prime factors of 484/2 + -15*9/(-45). 5, 7 Suppose -b - 4*f - 12 = 3*b, -3*f - 23 = -4*b. Suppose 0 - b = q. What are the prime factors of 10 + 0/(q + 0)? 2, 5 Let s be 0/((-5)/((-15)/(-6))). Suppose 2*n + 0*n - 14 = s. What are the prime factors of n? 7 Let b = 244 - -73. What are the prime factors of b? 317 Let j = -25 - -41. Suppose 0 = -s - 3*s + j. List the prime factors of s. 2 Suppose -2*a = -x + 4, -3*a - 9 = x + 2. Suppose 5*b - 3*j + 0*j - 11 = 0, -5*j + 23 = 2*b. Let v = b + x. List the prime factors of v. 2 Let h(t) be the second derivative of -t**5/20 + t**3/2 + t**2/2 + 3*t. List the prime factors of h(-2). 3 Let c(x) = x**3 + 11*x**2 + 10*x + 4. Let r be c(-10). Suppose r*n + n = 15. Suppose -n*t - 1 = -4*m, 0*m - 25 = -5*m - t. What are the prime factors of m? 2 Suppose -3*q + 6 = 24. Let m be 2/4 + (-57)/q. Suppose 2*b - w - m = w, -4*b = 5*w - 11. What are the prime factors of b? 2 Suppose -4*j + 9 + 35 = 4*u, u + 4*j + 4 = 0. What are the prime factors of u? 2 Let g(a) = a**3 + 13*a**2 - 19*a - 8. List the prime factors of g(-13). 239 Let o(k) = k**2 - 5*k - 2. Let s be o(6). Suppose -7 + s = -f. List the prime factors of f. 3 Let j = 15 - 29. List the prime factors of (-5 - -7)*j/(-4). 7 Let a(b) = -136*b**3 + 1. Let g be a(-1). Suppose g - 1 = 4*u. What are the prime factors of u? 2, 17 Suppose 0 = 2*x + 5*n + 7, 3*x + x = 3*n - 1. What are the prime factors of 9/(-3 - 0)*x? 3 What are the prime factors of (-4 + 84/(-20))*-5? 41 Let p = 7 + -13. Let z be p/33 + 136/22. Suppose i + 3*r - z = 2*i, 2*r - 8 = 0. List the prime factors of i. 2, 3 Let v(i) = i**3 - 6*i**2 - 6*i + 6. Let r = -8 + 15. Let s = 14 - r. List the prime factors of v(s). 13 Suppose 7*m - 372 = 4*m. What are the prime factors of m? 2, 31 List the prime factors of 2/(3/(-267)*-2). 89 Let m = 26 + -18. Let k be -15*1*(-16)/3. Suppose 0 = 4*j + m - k. What are the prime factors of j? 2, 3 Let m be (6 + -3)/((-2)/(-6)). Suppose z + 3*g - 12 = 0, -1 + m = 4*z + 2*g. List the prime factors of 11 - (1 + z + -2). 2, 3 Let y be -3*1*15/(-9). Suppose 0 = 6*o - 3*o + 3*b + 24, -3*o + y*b = 24. Let v(k) = -4*k - 11. List the prime factors of v(o). 3, 7 Let q(x) = -81*x**3 + 2*x**2 - 1. What are the prime factors of q(-1)? 2, 41 Suppose 3*v = v. Suppose 3*y + 30 = 2*g - y, v = 5*g - 4*y - 63. What are the prime factors of g? 11 Suppose -w + 25 = -20. What are the prime factors of w? 3, 5 Let l(t) = -t**2 - 16*t + 1. List the prime factors of l(-12). 7 Suppose -3*j - 1 = -85. Let w = j + -19. Let r = -4 + w. What are the prime factors of r? 5 Let y = -4 - -8. Let f(h) be the third derivative of h**6/120 - h**5/20 - h**4/8 + 2*h**2. What are the prime factors of f(y)? 2 Let w(x) = x - 117. Let k be w(0). Let y = 68 + k. What are the prime factors of 21/y - (-38)/7? 5 Let i = -142 + 437. List the prime factors of i. 5, 59 Suppose q = -3*q - 3460. List the prime factors of 4/14 - q/35. 5 Suppose 2*b - 127 = 45. Let f = b + -55. List the prime factors of f. 31 Suppose -3*u + 184 - 40 = 0. Suppose 0 = 2*j + 4*x - u, 0 = -j + 3*j - 3*x - 69. List the prime fa
{ "pile_set_name": "DM Mathematics" }
Is 430634 prime? False Is 275851 a composite number? True Is 156863 prime? False Is 439123 a prime number? True Is 6443 a composite number? True Is 26557 a composite number? False Is 3847 a composite number? False Is 19289 a prime number? True Is 240181 composite? True Is 725035 composite? True Is 4049 a prime number? True Is 16973 a prime number? False Is 1579601 composite? True Is 387421 composite? True Is 586 a prime number? False Is 2427 composite? True Is 129629 a composite number? False Is 2511077 a composite number? True Is 39781 prime? False Is 5137 a prime number? False Is 435103 composite? False Is 42037 prime? False Is 127781 composite? False Is 1617683 prime? False Is 354529 composite? True Is 29243 a composite number? False Is 320627 a composite number? False Is 7934 composite? True Is 8506 prime? False Is 216817 a composite number? True Is 252139 a prime number? True Is 87019 a prime number? False Is 1229051 prime? False Is 7197 a prime number? False Is 13963 prime? 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{ "pile_set_name": "DM Mathematics" }
pose -13*g = -6*g - 28. What is g*r(i) - 9*u(i)? -2*i - 3 Let y(r) be the second derivative of -r**3 - 3*r**2 + r. Let j(u) = 37 - 99 + 5*u + 27 + 40. Determine -4*j(c) - 3*y(c). -2*c - 2 Let w(n) = 114*n. Let g(x) = -x. Give -798*g(y) - 6*w(y). 114*y Let i(z) = -5*z**2 + 2*z - 2. Let a(v) = -7*v + 0*v - 6*v + 14*v**2 + 7*v + 5. Suppose -7 = 2*r + 1. Suppose 0*k - 5*k = 55. Determine k*i(l) + r*a(l). -l**2 + 2*l + 2 Let o(k) = -4*k. Let f(u) be the third derivative of -u**4/24 + 38*u**2. Give 2*f(h) + o(h). -6*h Let r(f) = -60*f**3 - 22*f - 20. Let v(p) = 20*p**3 + 7*p + 6. What is -5*r(n) - 16*v(n)? -20*n**3 - 2*n + 4 Suppose -5*v = -m - 952, 25 = -v + m + 217. Let r be 2/(-20) - v/100. Let u(w) = 2*w**2 - 2*w. Let z(j) = j. Determine r*u(q) - 4*z(q). -4*q**2 Let f(x) be the first derivative of -7*x**3/3 - x**2/2 + 9*x - 117. Let d(c) = -8*c**2 - c + 10. Give 5*d(n) - 6*f(n). 2*n**2 + n - 4 Let j(u) = -30*u**3 + 50*u. Let s(g) = -g. Calculate j(y) + 50*s(y). -30*y**3 Let m(o) = -4*o - 3. Let n(s) = -3*s - 2. Let v(l) = -13*l - 9*l + 2 + 25*l. Let q(f) = 5*n(f) + 6*v(f). Determine 2*m(a) + 3*q(a). a Let w(y) = -y**2 - 4*y + 10. Let x(k) = 2*k**2 + 5*k - 9. Calculate 3*w(s) + 2*x(s). s**2 - 2*s + 12 Let i(n) = -64*n**3 - 5*n**2 - 7*n + 5. Let f(k) = 96*k**3 + 8*k**2 + 11*k - 8. What is 5*f(o) + 8*i(o)? -32*o**3 - o Let v(j) = -1072*j - 7. Let t(i) = -532*i - 3. Give 5*t(s) - 2*v(s). -516*s - 1 Let n(d) = d. Let s(y) be the third derivative of y**5/30 + y**4/12 - 71*y**2. Calculate 6*n(b) - 3*s(b). -6*b**2 Let d(x) = 80*x**3 + 2*x**2 - 3. Let c(h) = 162*h**3 + 5*h**2 - 7. Calculate -2*c(l) + 5*d(l). 76*l**3 - 1 Let z(w) be the first derivative of -w**3/3 + w - 4509. Let b(u) = 34*u**2 - 25. Let h(v) = 11*v**2 - 8. Let n(m) = -4*b(m) + 11*h(m). Give -n(d) + 12*z(d). 3*d**2 Let o(g) = -5*g**3 - 27*g**2 + 723*g - 9. Let k(s) = -s**3 - 6*s**2 + 181*s - 2. Determine 9*k(z) - 2*o(z). z**3 + 183*z Let t = 6 - 3. Let x(j) = 4*j**2 - 1 - 3*j - 5 + t*j**2 - 4*j**2. Let o = -21 - -20. Let c(l) = -l**2 + l + 1. Give o*x(a) - 4*c(a). a**2 - a + 2 Let j(s) = -3*s + 20. Let z(t) = 9*t - 41. What is 5*j(b) + 2*z(b)? 3*b + 18 Let y = 31 + -30. Let a(u) = y - 32*u + 0 + 11*u + 18*u. Let n(k) = -13*k + 5. Give 18*a(q) - 4*n(q). -2*q - 2 Let p(f) = -14*f - 23. Let b(y) = 5*y + 8. Let s be (-1)/3*-30*45/(-75). What is s*p(j) - 17*b(j)? -j + 2 Let w(z) = -z**2 - 5*z + 4. Let v(s) = -s**2 - s + 1. Let m(d) = -d**2 - 30*d - 128. Let x be m(-25). What is x*v(t) + w(t)? 2*t**2 - 2*t + 1 Let s(m) = 3*m + 9. Let r(v) = v**3 - 11*v**2 - 62*v + 33. Let z be r(15). Let t(j) = 4*j + 10. Give z*s(o) - 2*t(o). o + 7 Let v(y) = -10*y**3 - 2*y**2 + 16. Let m(h) = -33*h**3 - 7*h**2 + 48. Give 4*m(f) - 14*v(f). 8*f**3 - 32 Let d(c) be the first derivative of 1/2*c**2 + 25 + 0*c - 1/4*c**4 + 0*c**3. Let v(r) = -4*r**3 + 5*r - 2. What is -6*d(h) + v(h)? 2*h**3 - h - 2 Suppose 0 = -5*a + 2*p - 20, 4*a - 5*a - 3*p = 4. Let s(m) = -8*m**3. Let v(w) = 7*w**3. Calculate a*s(t) - 5*v(t). -3*t**3 Let g(v) = 17*v**3 + 8*v**2 - 12*v + 4. Let q(m) = 17*m**3 + 6*m**2 - 11*m + 3. Calculate 3*g(s) - 4*q(s). -17*s**3 + 8*s Let o(m) = -12*m + 6. Let s(z) = z + 3. Let h(p) = -10*p - 44. Let k(n) = -2*h(n) - 28*s(n). What is -7*k(w) + 5*o(w)? -4*w + 2 Let d(b) = 25*b - 58. Let w(o) = -3*o + 7. Calculate -6*d(v) - 51*w(v). 3*v - 9 Let x(m) = 113*m + 4. Let r(w) = 117*w + 3. Calculate -5*r(k) + 4*x(k). -133*k + 1 Let r(p) = 15*p - 79. Let z be r(6). Let f(i) = -4*i**3 + 21*i**2 - 11*i - 5. Let n(q) = q**3 - 4*q**2 + 2*q + 1. Calculate z*n(g) + 2*f(g). 3*g**3 - 2*g**2 + 1 Let a(w) be the second derivative of -w**4/12 - w**2 + 189*w + 2. Let x(q) = -q**2 - q - 5. Suppose l - 4*l + 15 = 0. Give l*a(b) - 2*x(b). -3*b**2 + 2*b Let b = -23 + 20. Let s(d) = -6*d**2 - 2*d - 11. Let u(v) = -25*v**2 - 9*v - 45. Let z(k) = -9*s(k) + 2*u(k). Let o(n) = -2*n**2 - 5. Give b*z(a) - 5*o(a). -2*a**2 - 2 Let y(s) be the third derivative of s**5/60 - s**4/24 - s**3/6 - s**2 - 16. Let o(h) = h**2 - 6*h - 6. What is o(c) - 6*y(c)? -5*c**2 Let q(l) = -5*l**3 + 8*l**2 + 9*l + 1. Let m(c) = -c**3 + c**2 + c. Calculate 6*m(k) - q(k). -k**3 - 2*k**2 - 3*k - 1 Let y(i) = -18*i + 352. Let h(g) = 7*g - 117. Give 8*h(l) + 3*y(l). 2*l + 120 Let r(t) = t - 35. Let q(a) = -2*a + 51. Give -5*q(x) - 7*r(x). 3*x - 10 Let t(o) = o - 4. Let w(x) = -68*x + 3. Give t(m) + w(m). -67*m - 1 Let s(l) = -6*l - 7. Let y(g) = -29*g + 84*g - 6 - 31*g - 29*g. Let k = -14 + 10. Calculate k*s(n) + 5*y(n). -n - 2 Let j(y) = -5*y. Let o(x) = 34*x + 34*x - 11*x + 3*x. What is -70*j(a) - 6*o(a)? -10*a Let i(a) be the second derivative of 0 - 10*a - 1/2*a**2 - 1/6*a**3. Let z(w) be the first derivative of 3*w**2 + 3*w + 1. Determine -5*i(p) - z(p). -p + 2 Let f(w) = w**3 + w**2 + w. Let i(j) = -132*j**3 - 30*j**2 - 30*j. Calculate -30*f(z) - i(z). 102*z**3 Let p(n) = n**3 + n + 1. Let s(g) = -3*g**3 + 2*g + 4. Suppose -4 = 1385*r - 1389*r. Determine r*s(m) - 2*p(m). -5*m**3 + 2 Let a(r) = -r**2 + r - 1. Let v be ((-2)/(-4))/((-2)/4). Let z be -2*1/(v - 0). Let g(k) = 9*k**2 - 11*k + 11. Determine z*g(h) + 22*a(h). -4*h**2 Let p(l) = -3*l**2 + 6*l + 8. Let d(a) = -a**2 + 4*a + 4. Determine -5*d(f) + 2*p(f). -f**2 - 8*f - 4 Let l(f) = f**3 + f**2 + 1. Suppose 3*u = 15 + 3. Let m be ((-30)/(-24) + (-3)/12)/(1/2). Let c(k) = -4*k**3 - 3*k**2 - 3. Calculate m*c(x) + u*l(x). -2*x**3 Let d(p) = -208*p**3 - 221*p**2 + 663*p - 221. Let l(k) = k**3 + k**2 - 3*k + 1. What is 6*d(y) + 1326*l(y)? 78*y**3 Let d(n) = -2. Suppose 5*y - 42 - 13 = 0. Let b(l) = l - 10. Give y*d(h) - 2*b(h). -2*h - 2 Let z(r) = -r**2 - 18*r + 67. Let g be z(3). Let v(t) = -10*t**2 - 4*t. Let k(m) = 10*m**2 + 5*m. Calculate g*k(l) + 5*v(l). -10*l**2 Let i be ((0 - 0) + 3)*35/(-21). Let o(a) = 5*a - 2. Let l(x) = -9*x + 4. Give i*o(r) - 3*l(r). 2*r - 2 Let l(f) = -2*f**2 + 53*f - 10. Let w(b) = -6*b**2 + 159*b - 28. What is 17*l(s) - 6*w(s)? 2*s**2 - 53*s - 2 Let p(w) = w**3 + w + 1. Let v(j) = 4 + 9*j + 111*j**3 - 48*j**3 + 2*j**2 - 57*j**3. Determine -4*p(m) + v(m). 2*m**3 + 2*m**2 + 5*m Suppose 22*p = 32*p - 60. Suppose 0 = -p*r + r + 5*q - 5, -4*q = r - 24. Let d(m) = 55*m + 45. Let i(j) = -5*j - 4. What is r*d(f) + 45*i(f)? -5*f Let q(x) = 2*x + 1. Let t(a) = -8*a + 47. What is -5*q(r) - t(r)? -2*r - 52 Let g(u) = -8*u**3 - 3*u**2 - 6*u + 2. Let r(n) = 17*n**3 + 7*n**2 + 13*n - 4. What is 13*g(f) + 6*r(f)? -2*f**3 + 3*f**2 + 2 Let d(i) = -i**3 + 2*i**2 + 37*i - 110. Let s be d(3). Let x(b) = 12*b + 2. Let n(f) be the third derivative of f**4/3 + f**3/6 - f**2. What is s*n(m) + 5*x(m)? -4*m + 2 Let l(h) = -2*h. Let q(p) = 3*p + 1. Let y be 616/42 + 1/3. Suppose -y = -3*g - 3. What is g*l(v) + 3*q(v)? v + 3 Let u(m) = -m**2. Let v(g) = 3*g**2 - 2*g. Let r be (12/14)/(1/(-7)). Let n = -68 + 72. Suppose n*a - 4 + 8 = 0. Determine a*v(y) + r*u(y). 3*y**2 + 2*y Let c(v) = -242087*v**2 + 2097. Let i(q) = 231*q**2 - 2. Calculate 4*c(a) + 4194*i(a). 466*a**2 Let l(v) = -13*v**3 + 92*v - 12. Let g(u) = -28*u**3 + 184*u - 26. Calculate 6*g(o) - 13*l(o). o**3 - 92*o Let r(a) = -2*a**3 - 3*a**2 - a + 2. Suppose 5*v - 5*t - 3 = 2, -t = v + 5. Let o(z) = -50*z**2 - 2 - 4 - 1 + 52*z**2 + 2*z**3 + 5. Calculate v*r(h) - 3*o(h). -2*h**3 + 2*h + 2 Suppose g - 23 = -3. Let t = g + -31. Let m(k) = -14*k + 8. Let f(x) = -5*x + 3. Let s(b) = -11*b - 1129. Let l be s(-103). Give l*m(q) + t*f(q). -q - 1 Let j(z) = 4*z**3 - 6*z - 3. Suppose 5*c - 58 = p, 39 = 3*c + 2*p - 4*p. Let x(w) = 7*w**3 - 11*w - 5. Let a be -4 + 1 + -1 + -2. Calculate a*x(t) + c*j(t). 2*t**3 - 3 Let a = 4 - 3. Let m(u) = -u - 5. Let s(c) = 1. Let z(f) = -m(f) - 5*s(f). Let h(v) = -8*v. Let l(d) = 2*d - 11. Let j be l(8). What is a*h(q) + j*z(q)? -3*q Let w(f) = 15*f**2 - 11*f**2 - 2*f + 1 + 4*f - 4*f**3. Let o(s) = -5*s**3 + 5*s**2 + 3*s + 2. Let b = 14 - 11. What is b*w(d) - 2*o(d)? -2*d**3 + 2*d**2 - 1 Let l(a) = 385*a + 49. Let j(h) = -h + 9*h + 2 + 6*h + 2*h. Give -49*j(k) + 2*l(k). -14*k Let f(j) = j**2 + 4*j - 1. Let v(n) = -n**2 + n - 1. Suppose -135*y = -131*y. Let g be 2 - y*(-4 - (2 - 5)). Determine g*v(r) - f(r). -3*r**2 - 2*r - 1 Let h(d) = 2*d**2 + 1 - 1 - 2*d + 5 + 4*d**3 - 4. Suppose -3*u + 6*u = 5*m + 13, -1 = -u. Let i(j)
{ "pile_set_name": "DM Mathematics" }
se 5, what is -1 - -33244? 33243 In base 7, what is -3310 - 2? -3312 In base 11, what is 32 - -6? 38 In base 11, what is -1 - 240? -241 In base 16, what is -3 - 4f0? -4f3 In base 6, what is -44 - 3? -51 In base 13, what is 32b - -9? 337 In base 16, what is -5 - 11? -16 In base 9, what is 6 - 1315? -1308 In base 11, what is a14 - -1? a15 In base 11, what is -12 + 25? 13 In base 5, what is -3 - -1232? 1224 In base 5, what is -1 - -130? 124 In base 10, what is 6 + -6? 0 In base 4, what is 11 - -210? 221 In base 3, what is 2 - -10221? 11000 In base 7, what is 3 + -6554? -6551 In base 7, what is -103 - 1? -104 In base 4, what is 0 + -31203? -31203 In base 9, what is 358 + 1? 360 In base 14, what is -d - 5? -14 In base 4, what is -212 - -2? -210 In base 13, what is 7c + 73? 122 In base 7, what is 220 - 3? 214 In base 9, what is -7 + -106? -114 In base 6, what is 11 - -44? 55 In base 12, what is 0 + 898? 898 In base 2, what is 100 - -11110111? 11111011 In base 14, what is -b9 - 4? -bd In base 5, what is 3240 + -14? 3221 In base 3, what is 20202111 + -1? 20202110 In base 15, what is -1c - -3? -19 In base 2, what is -101 - 11000001? -11000110 In base 8, what is -2 - 36? -40 In base 14, what is -5 + -16a? -171 In base 3, what is 1020 + 22? 1112 In base 3, what is 202211 + -10? 202201 In base 4, what is -1202 + 100? -1102 In base 7, what is -3336 - 5? -3344 In base 2, what is -10001011 + -10? -10001101 In base 9, what is 3 - 174? -171 In base 2, what is -100 + 1010110? 1010010 In base 7, what is 156 + -1? 155 In base 14, what is -1d + 24? 5 In base 13, what is -5 + 9? 4 In base 8, what is -6 + 10? 2 In base 5, what is -1 + -130? -131 In base 6, what is 4 + 10140? 10144 In base 6, what is -20043 - -3? -20040 In base 5, what is 12 + 123? 140 In base 8, what is -4 - 43? -47 In base 2, what is 101111 - -111? 110110 In base 6, what is -43 - -10235? 10152 In base 13, what is -88 - -3a? -4b In base 15, what is -6 - -2d? 27 In base 9, what is 136 + 12? 148 In base 5, what is -322 + -10? -332 In base 4, what is -3 - -1133? 1130 In base 4, what is 3 - 202301? -202232 In base 9, what is -5 - -740? 734 In base 9, what is -4546 - 5? -4552 In base 8, what is 265 + -3? 262 In base 16, what is -3 - -a45? a42 In base 6, what is -3 + -1222? -1225 In base 11, what is -3 + 303? 300 In base 12, what is 4 - -97? 9b In base 5, what is -43 - 1042? -1140 In base 7, what is 46 + 4? 53 In base 12, what is 1 + 198? 199 In base 9, what is -1 - -11370? 11368 In base 12, what is -7 + -bba? -1005 In base 7, what is -10 - -313? 303 In base 13, what is -5491 + 3? -548b In base 11, what is 3a + -29? 11 In base 11, what is -a - -17? 8 In base 11, what is -4 - 2a0? -2a4 In base 14, what is -4 - -14a? 146 In base 4, what is 2 + -221131? -221123 In base 2, what is 11100 + 101? 100001 In base 16, what is -1 - -c8? c7 In base 9, what is 43 - -26? 70 In base 7, what is 3 - 1041? -1035 In base 6, what is 5 + 1030? 1035 In base 4, what is 0 - -233? 233 In base 12, what is 140 + -1? 13b In base 2, what is -100101 - 1001? -101110 In base 5, what is -4 + -241210? -241214 In base 4, what is 1200233 + 1? 1200300 In base 15, what is 17 + -366? -34e In base 10, what is -2 - 116? -118 In base 15, what is 48b - 3? 488 In base 12, what is -7 + 49? 42 In base 9, what is -240 - -1? -238 In base 5, what is -2114 - 12? -2131 In base 3, what is -102 - 111? -220 In base 4, what is -123303 + 2? -123301 In base 8, what is 5 + 5007? 5014 In base 5, what is -11 + 3? -3 In base 3, what is 12 + 220100? 220112 In base 16, what is -2 + -c50? -c52 In base 9, what is -62185 + 1? -62184 In base 11, what is -17 - -49a? 483 In base 6, what is -1505 + -4? -1513 In base 14, what is -9c - 41? -dd In base 8, what is -3023 + -3? -3026 In base 16, what is 8 + 2b9? 2c1 In base 12, what is 4 + 58? 60 In base 15, what is -424 - -6? -41d In base 11, what is -31 - a5? -126 In base 11, what is 2 + -44? -42 In base 7, what is -252 + -44? -326 In base 7, what is -3 - -32? 26 In base 8, what is -2 + 36? 34 In base 6, what is 1002 - 214? 344 In base 5, what is 10 - 21320? -21310 In base 15, what is 2 + -103? -101 In base 16, what is -69 - 5? -6e In base 7, what is -2200 - -5? -2162 In base 11, what is 6 - 5? 1 In base 9, what is -73 - -1? -72 In base 14, what is -4 + c5? c1 In base 4, what is -1103 + -221? -1330 In base 3, what is 0 + 1121? 1121 In base 4, what is -3 + -113321? -113330 In base 6, what is -41 - 1? -42 In base 5, what is -200 + 4? -141 In base 8, what is 154 - 4? 150 In base 13, what is b - -14? 22 In base 4, what is 133 + -12? 121 In base 9, what is 2 + -474? -472 In base 5, what is 3220 + -34? 3131 In base 16, what is 6d - 7? 66 In base 12, what is -1033 + 0? -1033 In base 6, what is 2555 + -1? 2554 In base 10, what is 4 - 993? -989 In base 13, what is -2a4 - -4? -2a0 In base 5, what is 14211 + 1? 14212 In base 7, what is 143 - -2? 145 In base 4, what is -20201 - 1? -20202 In base 9, what is -7 - 4? -12 In base 6, what is -2 - 340? -342 In base 3, what is 1122 - -1? 1200 In base 2, what is 100110110 + -1111? 100100111 In base 4, what is -10 - 0? -10 In base 4, what is 3022003 + -2? 3022001 In base 6, what is 3 - -3401? 3404 In base 8, what is 2155 - 0? 2155 In base 11, what is 80 - 7? 74 In base 15, what is 4 - -33? 37 In base 16, what is 291 - -5? 296 In base 4, what is 1221 - 110? 1111 In base 11, what is 4720 - -3? 4723 In base 12, what is 5 - -70? 75 In base 5, what is -3030 + 3? -3022 In base 15, what is 12 + -5? c In base 13, what is -16 - 1? -17 In base 16, what is 9 + 603? 60c In base 16, what is 4 + 3d0? 3d4 In base 4, what is -11022 + 3? -11013 In base 14, what is -274d + -1? -2750 In base 15, what is 145 - -6? 14b In base 5, what is 0 - 411? -411 In base 15, what is -5 - 2a9? -2ae In base 14, what is 24c5 + -2? 24c3 In base 3, what is 20112 + -102? 20010 In base 9, what is -3 - -7844? 7841 In base 6, what is 2 + 1551? 1553 In base 10, what is 2 - 3895? -3893 In base 10, what is 5 - -1035? 1040 In base 15, what is 5 + 23? 28 In base 6, what is -52 + 4? -44 In base 15, what is -1c + 4c? 30 In base 8, what is -2 + -1? -3 In base 14, what is 4a - 2? 48 In base 7, what is -166 + -2? -201 In base 16, what is -49bd + -1? -49be In base 10, what is -28198 + -2? -28200 In base 9, what is 24 - 41? -16 In base 9, what is -1325 + 0? -1325 In base 15, what is -10 + 66? 56 In base 11, what is 6 + -613? -608 In base 7, what is 523 + -63? 430 In base 10, what is 41 + -45? -4 In base 8, what is 0 + 14? 14 In base 10, what is 5 + -7? -2 In base 11, what is -257 + 3? -254 In base 4, what is -1000 - 213? -1213 In base 12, what is -564 + -5? -569 In base 12, what is 23 + -6? 19 In base 15, what is -6 + -5c? -63 In base 15, what is 0 - -1c7d? 1c7d In base 7, what is 0 - -1632? 1632 In base 7, what is 5 - 256? -251 In base 9, what is -80 - 6? -86 In base 14, what is 3 - 3? 0 In base 13, what is 14 + 166? 17a In base 14, what is 1 - 20? -1d In base 12, what is 6 - -3? 9 In base 8, what is -50 - 0? -50 In base 6, what is -150 - -2233? 2043 In base 8, what is 4 - -254? 260 In base 6, what is -1 + -3? -4 In base 9, what is -5 + -78? -84 In base 10, what is 12 + 11? 23 In base 16, what is 7f + 3? 82 In base 14, what is -19 + 5? -14 In base 8, what is -74 - 166? -262 In base 6, what is 11 - -33? 44 In base 11, what is -2 + 212? 210 In base 2, what is -1100110 + 1100? -1011010 In base 8, what is 4 + 0? 4 In base 13, what is cb2 + 5? cb7 In base 9, what is 2 + 87? 100 In base 9, what is -6 + -508? -515 In base 14, what is -2b + -69? -96 In base 11, what is 3 - 3a? -37 In base 3, what is 1102 + 21? 1200 In base 13, what is 4b + -5? 46 In base 3, what is -12 - -222200? 222111 In base 10, what is -130 + -4? -134 In base 11, what is 6194 + 0? 6194 In base 5, what is -434 + -10? -444 In base 12, what is -9 + 735? 728 In base 6, what is 13 + -1150? -1133 In base 5, what is -344330 - 2? -344332 In base 12, what is 2 - -13? 15 In base 6, what is 3 + 5111? 5114 In base 6, what is 1432 - -3? 1435 In base 14, what is -57c + 5? -577 In base 3, what is 12011 + -11? 12000 In base 13, what is 10 - 3? a In base 14, what is -13 + -d? -22 In base 9, what is -45 - -320? 264 In base 7, what is 10045 + 2? 10050 In base 13, what is 0 + 23? 23 In base 2, what is
{ "pile_set_name": "DM Mathematics" }
Suppose -39*f + 37*f = -w. Suppose b + 89 = x, 0 = -x - f*b - b + 69. Is 16 a factor of x? False Suppose -2*q + 0*q - 2724 = -2*i, q + 5*i = -1344. Is (1 - 12/9)*q a multiple of 65? False Suppose -15*d + 1 = -29. Is 2 a factor of (3 + (-11)/(-2))*d? False Let a(x) = x**3 + 17*x**2 - 61*x - 18. Let g be a(-16). Suppose -g = 11*i - 4360. Does 22 divide i? True Suppose 1 + 3 = n. Let w(k) = k**2 - 32*k - 68. Let m be w(-2). Suppose -n*t = -m*t - 504. Does 40 divide t? False Suppose -5*f = -4*r - 27, -9 = 7*r - 4*r. Suppose -4 - 8 = -f*o, -2*d + o + 110 = 0. Is d a multiple of 3? True Let d be 7/28 - (-25)/(-4). Let i be 5616/(-60) + (-1 - d/10). Let j = 33 - i. Is 48 a factor of j? False Suppose 2*a + 261 = 3*s, 98 = -a - 5*s - 0*s. Let f = a - -83. Let z = f + 60. Is z a multiple of 7? False Suppose -t - z = 2*t - 10, -5*t + 4*z + 28 = 0. Suppose 0 = -5*y - 25, t*l - y = -l + 330. Is l a multiple of 3? False Suppose 8*m - p = 6*m + 391, 5*m = -p + 974. Let s = -105 + m. Does 15 divide s? True Suppose 15*s + 13435 - 24025 = 0. Does 7 divide s? False Let l = 135 + -129. Suppose -l*r + 2449 = 361. Is r a multiple of 12? True Suppose -102333 = -5*a + 3*h, 6*a + 102345 = 11*a - 5*h. Is 11 a factor of a? False Let g(d) be the second derivative of -11*d**3/6 - d**2 + 2*d. Let w be g(-8). Suppose -5*a = -5*j + 340, -2*a - 251 = -5*j + w. Is 14 a factor of j? False Let b be (-20 - -40)*(0 + -1). Let c(f) = -25*f - 94. Is 14 a factor of c(b)? True Let v(h) = -192*h**3 + 2*h**2 - 6*h. Does 58 divide v(-3)? True Suppose 3*p - 2 = -2*b, -34 = -2*b + 2*p + 3*p. Is 6 a factor of 1682*1/b + (-52)/182? True Suppose 2*s + 5*d - 25383 = -6535, s + 5*d - 9414 = 0. Is 106 a factor of s? True Suppose 0 = -2*v - 4 + 14. Let l(c) = -5*c**3 - 12*c**2 - 9*c - 14. Let m(b) = b**3 + b**2 + b + 1. Let w(s) = -l(s) - 6*m(s). Does 8 divide w(v)? True Let b(k) = 18*k**3 - k**2 + 3*k - 2. Let o(n) = n + 1. Let m(v) = v**3 - 7*v**2 - 12*v - 6. Let h(w) = -m(w) - 4*o(w). Let d be h(8). Does 8 divide b(d)? True Let b(f) = f**3 + 41*f**2 - f - 37. Let n be b(-41). Is 5 a factor of (n/(-4))/((1 - 5)/1940)? True Let s = 77 + -75. Suppose -s*p = 2*p - 144. Does 36 divide p? True Suppose 3*l - 1739 = -5*k + 6511, -3*k + 4950 = 2*l. Suppose 29*p = 39*p - k. Does 4 divide p? False Let l(b) = 50*b**2 + 32*b + 324. Does 139 divide l(-12)? False Suppose -385*m - 3*u - 51481 = -387*m, 0 = 2*m - u - 51471. Does 79 divide m? False Let y = 30460 - 18250. Is y a multiple of 22? True Let m(o) = -42*o - 319. Let p be m(-9). Is 14 a factor of (-588)/18*(p/(-2) - -1)? False Suppose t - g + 7 = 0, 17 + 18 = -5*t - 3*g. Let s(h) = -12*h - 12. Let m be s(t). Suppose b = -0*b + m. Is b a multiple of 18? True Suppose -x - 3*x + 12 = 0, z + 247 = 5*x. Suppose -1008 = -0*h - 3*h. Let a = z + h. Is a a multiple of 13? True Suppose -33 = -t + 12. Suppose 5*j + 4*i = 34 + 68, t = 3*j - 3*i. Suppose -2*k = -0*k - j. Does 4 divide k? False Suppose 5*i - 4*v - 10 = 0, -8*i + 2*v + 2 = -4*i. Is 7 a factor of (32/8)/(-4)*54/i? False Suppose 177287 = 347*c - 303*c - 317977. Does 130 divide c? False Let d be (6/4)/((-3)/36*-6). Is 0/(1/1) - (-490 - d) a multiple of 15? False Suppose 59 = 5*k + 19. Suppose 5*s - 438 = 3*y, k*s - 12*s - 5*y = -343. Does 5 divide s? False Let g(n) = 54*n**2 - 56*n**2 + 2*n - 2*n**3 + 4 + n**3. Let w be g(-2). Suppose w = -9*z - 358 + 1087. Is 27 a factor of z? True Let b = 466 + -857. Let y = 28 - b. Does 12 divide y? False Suppose 0 = -7*l + 1766 + 1321. Suppose -l = -m - 24. Does 18 divide m? False Let j = 179 - 176. Suppose -j*t - 468 = -6*t. Does 13 divide t? True Suppose 1725 = 4*c - 5*g, 2950 = 7*c - 50*g + 55*g. Does 27 divide c? False Let k(v) = 4*v. Let h be k(1). Suppose -f + 0*f + 18 = 5*a, h*f - 120 = 4*a. Suppose 3*q + 4 - f = 0. Is 2 a factor of q? True Let h be -15 - -16 - (-2)/(-2). Suppose 3*w + 5*t - 161 = -61, h = 2*w + 2*t - 64. Let o = 153 - w. Does 21 divide o? False Let x(m) = 38*m**2 + 26*m. Is x(-10) a multiple of 59? True Suppose -g = k + 1, 0 = -3*k + 2*g - 0*g + 17. Suppose -k*t = t - 1292. Suppose -7*v + 13 + t = 0. Is v a multiple of 6? True Let t = -398 + 696. Let p = t + 65. Suppose -p = -3*z - 5*f, 4*z + 3*f = -z + 621. Does 20 divide z? False Let m(p) = 93 + 2 + p - 19. Does 13 divide m(-24)? True Let c(f) = 3*f**3 + 14*f**2 + 86*f - 842. Does 138 divide c(14)? False Let u(x) = x - 18. Let d be u(0). Let j(b) = b**3 - 6*b**2 + 7*b - 12. Let g be j(6). Let a = g + d. Is 2 a factor of a? True Let y(m) = 2*m - 19. Let l be y(-5). Let k be (-2856)/(-27) - (20/(-9) + 2). Let d = k + l. Is 11 a factor of d? True Suppose -2*b - 15573 = -5*m, 0 = 15*m - 10*m + 2*b - 15577. Does 125 divide m? False Let r(w) = w + 8. Let i be r(-3). Suppose i*q + 2 = 3*q, -10 = -3*z + q. Suppose -145 = -5*o - 0*s - 3*s, z*o - 2*s - 68 = 0. Is o a multiple of 4? False Suppose -6 - 4 = -5*r. Suppose -c + r*c - 5 = 0, -3*l - 60 = -3*c. Is 11 a factor of (-9)/l*385/7? True Let j = 493 + -513. Is 4 a factor of (j/8)/(45/(-2808))? True Let l be 2/8 - -2*1915/40. Suppose 26*x = 28*x - l. Is 16 a factor of x? True Suppose -38*p = -34*p - 36. Let q(i) = 5*i**2 - 4*i + 42. Is q(p) a multiple of 25? False Let p be -5 + -21*(-49 + 0). Is (-93)/(-31)*(p/(-6))/(-2) a multiple of 16? True Is 94 a factor of (6 + 954/(-30))*(-15090)/9? False Suppose -6*t = -17*t - 4*i + 57730, 0 = -4*i - 20. Is t a multiple of 19? False Let v(i) = 3*i + 6*i + 15 - 6*i - 2*i. Let c be v(-12). Suppose 5*t - 147 = -4*s + 2*t, 2*t - 111 = -c*s. Does 13 divide s? True Let o be 1*-127*8/(56/(-133)). Suppose -20*h + o = -4527. Is h a multiple of 16? False Let o = 2312 + 9348. Is 18 a factor of o? False Let c(d) = 30*d - 50. Let n(l) = -29*l + 53. Let h(q) = 6*c(q) + 5*n(q). Is h(7) a multiple of 14? True Suppose -t + 2 = -3*o - 5, -2*o = 5*t - 1. Let g be 1*2/t - (-2 - -6). Does 15 divide g/(-6) - (0 + (-685)/15)? False Let j = -193 - -190. Is 19 a factor of (-7 + -1)/(j/114)? True Let m(h) = h**3 - 6*h**2 + 7*h - 4. Let g be m(5). Suppose 15 - g = 3*k. Let p = 78 - k. Is p a multiple of 15? True Suppose 5*c + 169 = -4*n, 6*c = 9*c - 4*n + 127. Let i(d) = 2*d**2 + 67*d + 28. Is 12 a factor of i(c)? False Suppose -6*d + 914 = -976. Suppose 21*g + d = 30*g. Is g a multiple of 35? True Let q be (-8 - 6)*(-2)/(12/27). Suppose 0 = 66*w - q*w - 714. Is w a multiple of 14? True Let g be ((-7112)/(-12))/((-2)/(-3)). Let d = g - 462. Does 61 divide d? True Let f = -3127 + 13657. Is f a multiple of 30? True Suppose 2*j + 3*p - 7592 = 13580, 3*j - 2*p - 31719 = 0. Is j a multiple of 11? False Let p = -409 - -436. Let o(i) = i**2 + 33*i - 36. Is 66 a factor of o(p)? True Let d(f) = -215*f - 561. Is 11 a factor of d(-36)? False Let u be (-12 - -13)/((-1)/(-113)). Suppose 3*p = -3*x + 78, -x = 3*p - 5*x - u. Suppose -m = 3*m - 4*a - 112, m - 4*a = p. Is m a multiple of 3? True Let d = -237 + 467. Suppose -y + 4*r + d = 24, 209 = y - r. Does 9 divide y? False Suppose 11*d - 58 - 2076 = 0. Suppose -q - 4*q = -670. Let n = d - q. Is 4 a factor of n? True Let f = -371 + 30. Let d = -277 + 755. Let h = d + f. Is h a multiple of 26? False Suppose 5*h + 112 = -3*c, 0 = -2*h + 4*c - 10 - 14. Is (-24)/(((-285)/h)/(-19)) a multiple of 2? True Let o(p) = -p**2 + 7 + 12*p + 0*p**3 - 9*p - p**3 + 3*p. Let i be o(-3). Suppose 2*c - 3 = i, -2*c = 4*h - 26. Is h a multiple of 2? True Suppose -82*o = -365*o + 12146360. Does 37 divide o? True Let k = 11881 - 3184. Is k a multiple of 13? True Suppose 5*n - 7763 = -4*p, 2*p + 80*n - 3884 = 78*n. Is p a multiple of 102? False Suppose -v + 338 = -74. Let u = v + -164. Does 58 divide u? False Let j(c) = c**3 - 12*c**2 + 13*c. Let o be j(11). Suppose -4*p + 2*b - 32 = -2*b, -o = 3*p - 2*b. Is 10 a factor of 1040/12*p/(-4)? True Let v(s) = s**3 + 3*s**2 - 5*s - 4. Let i be v(-4). Suppose i*x = -x + 504. Suppose x = -2*t + 11*t. Is t a multiple of 7? True Let v(t) = 6*t - 8. Let h be v(7). Let c(u) = 28*u - 71. Is c(h) a multiple of 13? False Let w(o) = 1. Let z(k) be the second derivative of -k**3/3 - 37*k**2/2 - 25*k. Let n(b) = 4*w(b) - z(b). Is n(0) a multiple of 4? False Suppose 0*r - 4*o = -r - 7, -4*r = 5*o - 35. Let b be 1*-2 - (r - 9). Suppose b*u + 138 = 5*u. Is 23 a factor of u? True Let j(s)
{ "pile_set_name": "DM Mathematics" }
s divided by w. 13 Let z(u) = -2*u**3 - 45*u**2 - 17*u - 1. Let l(m) = -m**3 - 24*m**2 - 8*m. Let i(d) = -11*l(d) + 6*z(d). Calculate the remainder when i(-5) is divided by 14. 11 Let q(p) = -p**2 - 9*p - 6. Let d be q(-8). Suppose -4*l + 5*r = -82, -6 = -2*r - d. Let f = 289 + -203. What is the remainder when f is divided by l? 17 Suppose 81*n - 11425 - 12075 = -19*n. What is the remainder when n is divided by 9? 1 Suppose 63*n + 1013 = 1670 + 1485. Calculate the remainder when 439 is divided by n. 31 Suppose -4*r = -a + 2118 - 7095, -18 = 2*a. What is the remainder when r is divided by 209? 197 Suppose 0 = 297*z - 272*z - 22625. Calculate the remainder when z is divided by 130. 125 Calculate the remainder when (-123462)/(-228) + 2/4 is divided by 156. 74 Let f be (-14)/(-63) + 175/63. Let a(c) = -25*c + 90. What is the remainder when a(f) is divided by 11? 4 Let o(r) = -r**2 - 27*r + 550. What is the remainder when o(-24) is divided by 59? 32 Let x(t) = -3*t - 15. Let c be x(-6). Let s be 3082/14 - ((-80)/28 + c). Suppose s - 562 = -9*w. Calculate the remainder when w is divided by 11. 5 Suppose -3*d + 8 = -0*r - 5*r, -5*d - 4*r = 36. Let z be 0*(d + (-2 - -5)). What is the remainder when (z + 30)*36/10 is divided by 14? 10 Let u = -45 - -45. Suppose u = -h - 4 + 7. Suppose 2 = h*y - 55. Calculate the remainder when 93 is divided by y. 17 Let c be -1 + 0/(3 + -6). Suppose 15*t + 108 = -12*t. What is the remainder when t - c - (-49 - -5) is divided by 14? 13 Let b(k) = 78*k**2 + 2*k + 1. Suppose -8408 = -39*f - 6341. What is the remainder when b(2) is divided by f? 52 Let b be (-3 - 39/(-15)) + (-137)/(-5). Let y = b + -23. Suppose -2*m + 7*m - 75 = -l, -276 = -4*l + y*m. What is the remainder when l is divided by 25? 20 Let f = 24957 - 20860. What is the remainder when f is divided by 19? 12 Let t = 8230 - 8139. What is the remainder when 13283 is divided by t? 88 Suppose -n - 143 = -o, -n = 4*o - o - 425. What is the remainder when 428 is divided by o? 2 Calculate the remainder when 3989 + -10 - 5/(-10)*-10 is divided by 13. 9 Let d = 12 - 22. Let l(h) = -h**3 - 10*h**2 - 4*h + 2. Suppose 4*q - 4*z = 656, -4*z + 29 + 299 = 2*q. Calculate the remainder when q is divided by l(d). 38 Let u(z) = -9*z + 196. Let h be u(-25). Suppose 0 = 3*i - 2*o - h, -3*i = 3*o - 7*o - 431. What is the remainder when i is divided by 20? 17 Let u = -16 - -29. Let q(x) be the second derivative of 13*x**3/3 - 131*x**2/2 - 244*x. Calculate the remainder when q(6) is divided by u. 12 Calculate the remainder when 1222 is divided by (782/(-69))/((-4)/12). 32 Suppose 0*r - 38 = -2*r. Suppose -2*x - 600 = -32*x. What is the remainder when x is divided by r? 1 Let s = 28 + -25. Suppose -m + s = 0, -5*m - 429 = -0*c - 3*c. Let j = c - 96. Calculate the remainder when j is divided by 11. 8 Let l be 3/(-12) + 4585/(-140). Let t = 42 + l. Calculate the remainder when 1*(41 - (-1 + 1)) is divided by t. 5 Let r(t) = -t**2 - 38*t - 64. Let h be r(-28). Suppose -h = -31*o + 19*o. What is the remainder when 250 is divided by o? 16 Suppose 6*q - 35 = -11. Suppose q*v = 5*b + 567, 5*v - 691 - 39 = 2*b. Let k = -123 + v. What is the remainder when k is divided by 13? 12 Let x be 4*(-45)/(-20) - -5. Suppose x*j - 10*j = 64. Calculate the remainder when 158 is divided by j. 14 Suppose -6*t + 2*t - 70 = -2*o, -3*o - 3*t + 105 = 0. Let v = o - 5. What is the remainder when 84 is divided by v? 24 Suppose 3*g - 7*h = -8*h + 289, 2*g - 3*h = 178. Calculate the remainder when 2087 is divided by g. 92 Suppose 9*f - 4360 = 4487. What is the remainder when f is divided by 325? 8 Suppose 4*q - 68450 = z, 0 = 3562*q - 3566*q + 4*z + 68468. Calculate the remainder when q is divided by 92. 91 Let b = -203 + 249. What is the remainder when 237 is divided by b + 1 + (19 - 18)? 45 Let y be (-2656)/(-64) + ((-3)/(-2))/(-1). Suppose -l + 3*k = -y, -3*l + 2*k - 9 + 108 = 0. What is the remainder when l is divided by 13? 5 Suppose -2 = -2*p - 3*j + 28, j = 2*p - 30. Let o = p - 11. Suppose -o*s - h + 91 = 0, 2*s + 3*h + 1 = 44. What is the remainder when 67 is divided by s? 21 Suppose 191*z + 14586 = 278*z + 342*z. What is the remainder when -7 + 5 + 117 + -1 is divided by z? 12 Suppose -6203 = -13*c - 1497. Let k = 404 - c. Calculate the remainder when 105 is divided by k. 21 Calculate the remainder when (3261/(-8)*(-180)/(-45))/(15/(-20)) is divided by 16. 14 Let l(h) = 9*h - 313. Let s = 95 - 56. Calculate the remainder when l(s) is divided by 17. 4 Suppose -2*l + 5*g + 109 = 0, l + 2*g - 54 = 4*g. Suppose -2*a + 29 = -a - 3*r, 4*r + l = 2*a. Calculate the remainder when 41 is divided by a. 1 Suppose 4*b = -0*h - 3*h + 1428, -1785 = -5*b - 3*h. Suppose -6*j + b = -477. Suppose 5*p = 2*p + 141. What is the remainder when j is divided by p? 45 Suppose -7*a + 10*a = -1017. Let x = a - -241. What is the remainder when (x/42)/(2/(-48)) is divided by 12? 8 Let k be (40/12)/((-2)/(-3)). Let a = 109 - 109. Suppose -g + 99 = g - k*s, -g + 3*s + 51 = a. Calculate the remainder when g is divided by 15. 12 Let d(j) = -5*j + 36. Let v be d(6). Calculate the remainder when ((-1)/(-2) - (-267)/v)/1 is divided by 17. 11 Suppose 906 = -9*c + 2958. Calculate the remainder when c is divided by 11. 8 Let n = -10773 + 10781. Calculate the remainder when 87 is divided by n. 7 Let j(i) = 28*i + 218. Let z be j(-8). What is the remainder when 42 is divided by -5 - (270/(-9) - z/2)? 20 Let a(n) = -n**3 + 6*n**2 + 2*n - 9. Let v(o) = -8*o**2 + 8*o + 65. Calculate the remainder when v(3) is divided by a(6). 2 Suppose 4*h - 46 = c, -3*h + 154 = -4*c + 35. Suppose -k = 5*m + 70, k + 4*k + 38 = -m. What is the remainder when (m/c)/(2/524) is divided by 33? 32 Let i = 1465 + -1423. What is the remainder when 388 is divided by i? 10 Let y(d) = -2*d**2 - 69*d + 25. Calculate the remainder when 189 is divided by y(0). 14 Let z = -118 + 122. Suppose 7*r - z*r = 3*l - 108, -5*r + 190 = 5*l. What is the remainder when l is divided by 9? 1 Let s = 28 - 28. Suppose 58 = 4*c - 2*r, s = -3*r + 1 + 2. What is the remainder when 117 is divided by c? 12 Calculate the remainder when 57 is divided by (0 - -3)*(6/(-8) + 2576/192). 19 Let j(r) = 3*r**2 - r**3 + 108 - 225 + 136 - 4*r. Calculate the remainder when 37 is divided by j(3). 2 What is the remainder when 649 is divided by 3*6 - 232/203*-7? 25 What is the remainder when 79 is divided by -1 - (24/88 - 1282/22)? 22 Suppose 13929 - 60163 = -95*z + 83061. Calculate the remainder when z is divided by 152. 145 Let c(l) = -395*l + 552. What is the remainder when c(-2) is divided by 168? 166 Let l(i) = -i**3 + 7*i**2 + 17*i + 21. Let g be l(9). Suppose -g*f + 322 = -5*f. Calculate the remainder when 320 is divided by f. 44 Let n(c) = c + 45. Let r be n(-17). Suppose -r = -u - 6*u. Suppose 0 = -5*k + 5, 39 = u*q + k - 2*k. What is the remainder when 69 is divided by q? 9 Let s(r) = -2*r**3 - 9*r**2 - 10*r - 78. What is the remainder when 681 is divided by s(-7)? 207 Suppose 3*i = 5*b + 256, -4*i + i - 4*b + 292 = 0. Suppose -5*s = k - 121, -5*s - 5*k = 1130 - 1255. Calculate the remainder when i is divided by s. 20 Let u be (8 - (-66)/(-11))*(11 - 0). Suppose -300 = -u*a + 1372. Calculate the remainder when a is divided by 33. 10 Let q be 346/(-18) + -1 - (-24)/108. What is the remainder when (61 - 0) + (-14 - q) is divided by 15? 7 Suppose -2904 = -30*m + 3456. Suppose w - 259 = 4*y, -w + 92 = 5*y - m. What is the remainder when w is divided by 14? 13 Let c(o) = -2*o**2 + 5*o + 21. Let j be c(5). Calculate the remainder when 11/j - -2 - (-7950)/40 is divided by 8. 6 Let p be 136/51*(-6)/(-8). Suppose 5*u + 4*i = 67 + 23, -p*u = 5*i - 19. Let t(x) = -2*x - 22. Calculate the remainder when u is divided by t(-14). 4 Let i(w) = -w**3 + 7*w**2 + 4*w + 1. Let b = 8 + -6. Let m be 3 + (b + -3)*-3. Calculate the remainder when i(m) is divided by 32. 29 Let z = 16163 + -15128. What is the remainder when z is divided by 5? 0 Suppose 6*x - 317 = -125. What is the remainder when x is divided by ((-192)/42)/(4/(-14)) + -4? 8 Suppose -3*o + 537 = -4*j - 60, j = 3. What is the remainder when 346 is divided by o? 143 Let q = 522 - 187. Suppose 2*p - 100 = -2*w + 34, -3*p + q = 5*w. Calculate the remainder whe
{ "pile_set_name": "DM Mathematics" }
**i - r**6 - 4*r**6 wrt r? -600*r**3 Let l(c) = c + 4. Let t be l(0). Let f(d) = -d**3 - 7*d**2 + 5*d - 22. Let s be f(-8). What is the second derivative of s*r**t + 2*r**4 + 4*r + 0*r**4 wrt r? 48*r**2 Let t(i) = -3*i**4 - 3*i. Let c = -9 + 13. Let x(z) = -2*z**4 - 3*z. Let b(j) = c*x(j) - 5*t(j). What is the second derivative of b(q) wrt q? 84*q**2 Let y be 0/(1 + (0 - -1)). Let v = y - -2. Find the third derivative of -v - z**2 + 3*z**4 - 3 + 5 wrt z. 72*z Let t(j) be the first derivative of 0*j**2 + 0*j - 2/3*j**3 + 2/3*j**6 + 0*j**5 + 5 + 0*j**4. What is the third derivative of t(n) wrt n? 240*n**2 What is the second derivative of 2248*u**2 + 8*u - 9*u**4 - 2248*u**2 wrt u? -108*u**2 What is the first derivative of -1 - 77*h**2 - 2*h**4 + 77*h**2 wrt h? -8*h**3 What is the second derivative of -3*u**2 + 0*u**2 - 4*u + 10*u**2 - u**2 wrt u? 12 Let w be ((-6)/(-14))/(17/119). What is the second derivative of -5*i**3 - i - 7*i + 3*i + 13*i**w wrt i? 48*i Let t(d) = -d - 4. Let a be t(-4). Let v(u) be the first derivative of a*u - 2/3*u**3 - 2 + 1/4*u**4 + 0*u**2. Find the third derivative of v(h) wrt h. 6 Let n be (0 - (-3 - -5))*-2. What is the second derivative of 3*q + 2*q**4 - q**4 - 7*q**n + 2*q wrt q? -72*q**2 Let i(g) = 13*g**4 - 6*g**3 - 6*g**2 - 17. Let h(n) = -12*n**4 + 5*n**3 + 5*n**2 + 16. Let z(r) = -6*h(r) - 5*i(r). What is the derivative of z(t) wrt t? 28*t**3 Suppose 0 = 2*h + u + 17, -2 = -3*h + 3*u + u. Let f be h*(-2)/(-6)*-1. Find the third derivative of -r**2 + 2*r**4 - f*r**2 + 2*r**2 wrt r. 48*r Let z(m) = -m**3 - 13*m**2 + 2. Let s(r) = -6*r**2 + 1. Let w(a) = -13*s(a) + 6*z(a). What is the first derivative of w(l) wrt l? -18*l**2 What is the second derivative of 20*y**4 + 40*y + 20*y**4 - y**4 - 6*y**4 wrt y? 396*y**2 Let y(o) be the first derivative of -4/3*o**3 - 1/2*o**2 + 0*o - 2. Find the second derivative of y(c) wrt c. -8 Let v(z) = 5*z**3 - 2*z**2 + 1. Let i be v(1). Find the second derivative of -3*g - 2*g**2 + g**2 + i*g - g**2 wrt g. -4 Let c(m) = 52*m**5 - 6*m**3 + 6*m**2 + 2*m. Let f(q) = 51*q**5 - 5*q**3 + 5*q**2 + q. Let a(t) = 5*c(t) - 6*f(t). What is the second derivative of a(y) wrt y? -920*y**3 Let b(p) be the second derivative of -p**7/21 + p**3/2 + p. Find the second derivative of b(w) wrt w. -40*w**3 Let p(d) be the first derivative of 0*d**4 - 1/5*d**5 + 0*d - 2/3*d**3 + 0*d**2 - 2. What is the third derivative of p(x) wrt x? -24*x Suppose -3*k - 24 = -k. Let g be 18/k*(-8)/3. Differentiate -3*q**3 - 2*q**3 + g*q**3 - 1 wrt q. -3*q**2 Suppose 13 = -4*d + d + 4*k, -2*k + 10 = 2*d. Let t = -1 + d. What is the derivative of -i + 2*i + t - 1 wrt i? 1 Let o(g) be the second derivative of g**7/14 - 19*g**4/12 + 8*g. Find the third derivative of o(a) wrt a. 180*a**2 Let n be 1 + (-1 - (-2 - 1)). What is the derivative of n*m**3 + 0*m**3 + 1 + 2 - 5 wrt m? 9*m**2 Suppose 2*d = 2*q + 3*q + 24, 3*d = 5*q + 21. Let g(b) = b. Let f(v) = v - 8. Let r(z) = q*g(z) + f(z). Differentiate r(a) with respect to a. -5 Let b(q) be the third derivative of q**5/15 - q**4/4 - 9*q**2. What is the second derivative of b(m) wrt m? 8 Let h(i) = -i**4 - i**3 + i**2 + i + 1. Let l(b) = -3*b**4 - b**3 - 14*b**2 + 2*b + 4. Let u(m) = 2*h(m) - l(m). Find the third derivative of u(y) wrt y. 24*y - 6 Let p(q) be the second derivative of -q**6/5 - q**4/4 + 3*q. Find the third derivative of p(j) wrt j. -144*j Let o be (-3)/(5 - 2) - -4. Find the third derivative of -3*y**3 - o*y**2 + y**2 - y**2 + 0*y**2 wrt y. -18 Find the first derivative of 1 + 14*a**2 - 29 - 2 wrt a. 28*a Let q be (-3)/(-54)*(-6)/(-2). Let h(u) be the second derivative of -q*u**4 - 1/10*u**5 + 0*u**2 + u + 0*u**3 + 0. Find the third derivative of h(n) wrt n. -12 Let h(j) be the third derivative of -j**8/1680 - j**5/20 + j**4/6 + 4*j**2. Let v(k) be the second derivative of h(k). Differentiate v(o) wrt o. -12*o**2 Let r be (-2)/(6/(-4) + 1). Differentiate 9*q**r - 3*q**4 - 6 + q**4 with respect to q. 28*q**3 Let s(k) = 2*k - 8. Let p be s(6). Differentiate -4 - 2 - t**2 + 5 + p with respect to t. -2*t Let w(i) = i + 2. Let d be w(-2). Suppose d = -3*y - 4*x - 17, -2*x - 7 = y + 2*y. Differentiate y + 0*m**2 + m**2 - 2*m**2 wrt m. -2*m Let c = -6 + 10. Let r be (-2 + (5 - 3))*(-1)/2. Differentiate z + r - c + 5 wrt z. 1 Let a(m) = -m + 25. Let g be a(0). Suppose -p = -5*b + g, 5*p = -5*b + 16 + 9. What is the derivative of -5 + 3 - 3*y**2 + p*y**2 + 4 wrt y? -6*y Find the third derivative of -2*x**3 + 3*x**3 - 4*x**3 + 5*x**3 - 3*x**2 wrt x. 12 Let q(t) be the first derivative of -t**6/15 - t**5/30 - 5*t**2/2 - 6. Let p(m) be the second derivative of q(m). What is the third derivative of p(u) wrt u? -48 Let v be (6/4 + -2)*-8. Let u = 15 - 10. What is the second derivative of u*x**2 + v*x**2 - 6*x**2 - x wrt x? 6 Suppose -f - d + 11 = 0, 6*f - f - 3*d - 15 = 0. Suppose -2*r - f = -5*r. Differentiate 1 + 9 + 0*a**2 - a**r - 11 wrt a. -2*a Let w(b) be the first derivative of 0*b**4 + 0*b**2 - 4/3*b**3 + 1/5*b**5 - 4 + 0*b. What is the third derivative of w(k) wrt k? 24*k Suppose -2*t = 8, -4*j + 4*t = 2*t - 16. What is the derivative of 0 + 1 + 4*d**2 - 1 - j wrt d? 8*d Let z(q) be the second derivative of q**9/15120 - q**7/840 + q**4/4 - 2*q. Let k(s) be the third derivative of z(s). Find the third derivative of k(d) wrt d. 24*d Let y(z) = 14*z**3 - 6*z**2 - 6*z - 11. Let l(d) = -d**3 - d**2 - d + 1. Let a(c) = 6*l(c) - y(c). What is the derivative of a(r) wrt r? -60*r**2 Let a(p) be the third derivative of p**7/21 - p**5/15 - 3*p**2. What is the third derivative of a(f) wrt f? 240*f Suppose -t = -3*f - 3 + 10, 0 = 3*f - 12. What is the second derivative of -6*r**2 + 6*r**2 - t*r**3 + 0*r**2 - 2*r wrt r? -30*r Let h(y) = -y**2 - 9*y - 13. Let l be h(-6). What is the second derivative of 0*s - 3*s**l - 4*s**5 - 6*s wrt s? -140*s**3 Let z(b) be the first derivative of -1/5*b**5 + 0*b**4 + 0*b**3 - 2*b - 3 + 0*b**2. What is the derivative of z(s) wrt s? -4*s**3 Let x be ((-4)/(-5))/((-18)/(-135)). Find the third derivative of b**6 - 8*b**2 - 4*b**x + 2*b**6 wrt b. -120*b**3 Let k(i) = -25*i**3 + 6*i**2 - 3. Let g(d) = -24*d**3 + 5*d**2 - 4. Let z(f) = -6*g(f) + 5*k(f). Differentiate z(n) with respect to n. 57*n**2 Let t = -8 + 12. Let n be (0 - -4) + t + -6. Differentiate -3 + 0*x**4 + n + 2*x**4 wrt x. 8*x**3 Let g(i) = i**3 + i**2 + 1. Let c(m) = -3*m**3 + 4*m**2 + 33. Let h(d) = -c(d) + 3*g(d). What is the first derivative of h(w) wrt w? 18*w**2 - 2*w Let j(n) be the third derivative of -n**8/336 + 11*n**7/210 - n**4/24 + n**3/6 + 3*n**2 + 3*n. Find the second derivative of j(g) wrt g. -20*g**3 + 132*g**2 Let n be 4*-1*3/(-6). Find the second derivative of 3*t**n + t - 5*t**2 - 3*t + 5*t**2 wrt t. 6 Suppose -5*l = -10*l + 40. Let b be 20/(-4)*3/(-5). What is the third derivative of 19*x**6 - l*x**6 - 7*x**6 - b*x**2 wrt x? 480*x**3 Let x = -3 - -4. Suppose -x = 4*h - 9. What is the second derivative of 4*l**5 + 0*l**5 - 2*l**5 - h*l wrt l? 40*l**3 Let z(o) = -o + 1. Let k(g) = 42*g - 20. Let h(l) = -k(l) + z(l). Differentiate h(n) wrt n. -43 Suppose 0 = -3*n + n + 8. Let v = -2 + n. Find the third derivative of k**5 - k**5 + k**v - k**5 wrt k. -60*k**2 Let o(g) = -13*g**2 + 5*g + 13. Let n(v) = 45*v**2 - 18*v - 45. Let r(w) = -5*n(w) - 18*o(w). What is the derivative of r(a) wrt a? 18*a Suppose 3*i = -q + 4*q - 24, 3*q - 5*i = 32. Let g = 2 - q. Let h(a) = -a**4 + a**2. Let j(n) = 2*n**2 - 1. Let f(p) = g*h(p) + j(p). Differentiate f(s) wrt s. 8*s**3 Let d(n) = 52*n**2 - 17*n - 11. Let r(g) = -13*g**2 + 4*g + 3. Let v(w) = 6*d(w) + 22*r(w). Find the second derivative of v(z) wrt z. 52 Let a be (16/(-10))/(78/(-65)). Let b(w) be the first derivative of 0*w**2 - 1 + 3*w - a*w**3. What is the derivative of b(r) wrt r? -8*r What is the third derivative of 472*g**5 - 442*g**5 + 2*g**2 + 2*g**2 + 0*g**2 wrt g? 1800*g**2 Let w(t) = -t**2 - t + 1. Let v(o) = -10*o**3 + 5*o**2 + 5*o - 23. Let f(r) = -v(r) - 5*w(r). What is the first derivative of f(b) wrt b? 30*b**2 What is the second derivative of -149*z + 10*z**3 + 2*z**3 + 166*z wrt z? 72*z Suppose -24*a + 26*a - 12 = 0. Let w(c) = -4*c**2 - 3*c + 2. Let h(v) = -8*v**2 - 5*v + 4. Let u(i) = a*h(i) - 10*w(i). Differ
{ "pile_set_name": "DM Mathematics" }
oes 14 divide (r/n)/((-4)/(-98))? True Let q = 295 + 199. Does 13 divide q? True Let l = -680 + 967. Does 41 divide l? True Suppose -13 = 2*p - b, b + 5 = -0. Let y(k) = 5*k**2 + 19*k - 31. Is 15 a factor of y(p)? False Let r be ((-2)/4)/((-13)/156). Suppose 37 + 23 = r*p. Is 20 a factor of (108/p)/(14/105)? False Let p be 27/(-33) - 6/33. Let f be (-3)/((p - -4)/(-3)). Suppose 0 = -5*q + 5*v + 168 + 132, v = -f*q + 196. Is 16 a factor of q? True Let n be 1/(-1) + (3 - -24). Suppose 5*f - 14 = -3*x, 0*x = 2*x - 5*f - n. Let q = x + 51. Is q a multiple of 14? False Let d be -837*(-2)/10 - (-21)/35. Suppose -3*a + 0*c = -3*c - 9, 0 = -5*a + 4*c + 14. Suppose -a*j = j - d. Is 15 a factor of j? False Let r be (38/(-95))/(2/(-20)). Suppose -r*g = -456 - 168. Is g a multiple of 26? True Let j = 29 - 7. Let b = -17 + j. Suppose -b*i - 4 = -99. Is i a multiple of 6? False Let z = -1 + -5. Let t be (-3 - -2)/(z/174). Let w = t + -6. Is w a multiple of 23? True Let r(s) = 196*s + 7. Let u(x) = 1. Let d(j) = -r(j) + 4*u(j). Is 32 a factor of d(-1)? False Let g be 17 + 3*20/(-15). Let l be (-3)/(-2 + 5/4). Suppose x + l = g. Is x a multiple of 2? False Suppose 98 = -5*u + 4*a, -5*u + a - 57 - 35 = 0. Is (u/(-15) - 0)/((-1)/(-30)) a multiple of 18? True Let u be -2*(-2)/((-8)/6). Let o be 6 - (-9)/u - -2. Suppose -75 = -0*k - o*k. Does 5 divide k? True Let k = -3133 - -5093. Does 28 divide k? True Suppose 3*j - j - 2 = 0. Let k = 5 - j. Suppose 5*b = w + 63, -k*w - 24 = -3*b + 24. Is b a multiple of 4? True Suppose -2*x + 3*y + 274 = 0, 4*y = -15*x + 18*x - 410. Is 13 a factor of x? False Suppose -4*q + 5*z = -674, 0 = -3*q + 7*q + 3*z - 690. Is q a multiple of 19? True Suppose 2*k + 18 = 3*d + d, 2*k + 14 = 2*d. Let o be ((-56)/(-16))/(d/4). Suppose o*j = 9*j - 76. Is 15 a factor of j? False Let d = 42 - 37. Suppose -3 = -g, -a - a + 25 = -d*g. Does 20 divide a? True Let b(n) = -17*n**2 - 128*n - 3. Is 14 a factor of b(-7)? False Suppose -2*a = -q + 284, -2*q + 0*q + 567 = -5*a. Does 7 divide q/13 + (2 - -3)? False Let b be ((-30)/12)/(3/48). Is 32 a factor of ((-936)/65)/(6/b)? True Is 5*745 + (-275)/(-25) a multiple of 18? False Suppose 8*z = z + 1617. Is 21 a factor of z? True Let u(q) be the third derivative of q**6/10 - q**4/24 - 2*q**2. Let o be u(-2). Is 0 - o*(-3)/(-6) a multiple of 27? False Let o = 77 + -132. Is 563/5 - (-33)/o a multiple of 28? True Let y(i) = -i**3 + 35*i**2 + 87*i + 100. Is y(37) a multiple of 7? True Let h(s) be the first derivative of 4 + 11/3*s**3 - 2*s**2 - 7*s + 1/4*s**4. Is 8 a factor of h(-11)? False Let l be 4/(-6) - (-336)/(-36). Let h be ((-24)/l)/((-18)/(-60)). Suppose 4*b + r - 81 = 0, 4*r + h = -4. Is 8 a factor of b? False Let r = 11 - 8. Let k(o) = 5*o - 5. Let v be k(r). Suppose 2*h = v + 34. Is 11 a factor of h? True Let o(h) = -h**3 + 10*h**2 + 11*h + 20. Let x be o(11). Let v = -16 + x. Does 4 divide v? True Let d be (0 + 0)/(-1*1). Suppose 9*u - 5*u = d. Suppose -x - 5*z = x - 70, u = -5*z + 10. Is x a multiple of 5? True Let w = -72 - -108. Does 4 divide w? True Let q(y) = -y**3 - 17*y**2 - 4*y + 25. Does 31 divide q(-17)? True Let q = 111 + -68. Suppose 2*s = -13 + q. Suppose -y + 50 = 2*i + 21, s = 3*y. Is i a multiple of 12? True Let p be 20/12 + (-1)/(-3). Suppose j + l = -2*l + 202, p*j + 5*l = 405. Is j a multiple of 43? False Suppose 3*s + 44 = 4*s. Suppose -4*r + s = 12. Is (-135)/(-4) + 2/r a multiple of 17? True Is 16 a factor of (((-1)/(-2))/1)/((-15)/(-4320))? True Let q(h) = -32*h + 23. Is 49 a factor of q(-10)? True Let n(p) = 74*p - 16. Does 12 divide n(2)? True Suppose 3*g + 15*g = 1872. Is g a multiple of 4? True Suppose 0 = 7*z - 3*z - 3*i - 2323, 0 = 3*z + 4*i - 1711. Is 19 a factor of z? False Let b(u) = -u**3 - 12*u**2 - 11*u - 2. Let f be b(-11). Let x be -3 - (f - -6 - 14). Suppose 2*c - x = 9. Is 3 a factor of c? False Let l = -507 + 851. Is 6 a factor of l? False Let l be (1 + 0)*0 + (-576)/(-8). Suppose 0 = -8*x + 10*x - l. Does 18 divide x? True Let a = -28 + 50. Suppose 58 = 6*n + a. Does 3 divide n? True Let d(q) = 31*q + 3. Let w(r) = 93*r + 10. Let f(b) = 11*d(b) - 4*w(b). Is 11 a factor of f(-2)? True Suppose -31*j + 47*j = 2128. Is 20 a factor of j? False Let y = 4 - -2. Is y*2/8*20/15 a multiple of 2? True Is 21 a factor of ((-594)/77 + 0)/(2/(-84))? False Let t be 14/18 + 6/27. Let i(l) = l**2 + 1. Let p(w) = w**3 - 4*w**2 - 2*w - 3. Let z(b) = t*p(b) + 4*i(b). Is z(2) a multiple of 5? True Let i(x) = 42*x + 113. Does 55 divide i(5)? False Suppose -4*r - f = 3*f - 40, -5*f - 25 = 0. Let j be -9*((-2)/3 + 1). Does 9 divide 415/r - (-2)/j? True Suppose -30 = 4*l - 9*l. Let i be (-155)/(-30) - 1/l. Suppose 84 = 9*a - 4*a + 4*b, i*a = 3*b + 77. Is a a multiple of 8? True Suppose 10*l - 9*l = 0. Is (4 + -2)/(4/46 - l) a multiple of 5? False Suppose 5*n = 3*n + 758. Suppose -4*x - h + 655 = 0, -3*x + n + 131 = -3*h. Does 47 divide x? False Let f = 1183 + -863. Is 32 a factor of f? True Suppose 0 = h - 2*n - 63, 5*h + 3*n = 7*n + 315. Let j = h + -43. Is j a multiple of 4? True Let v = -23 + 32. Is 18 a factor of (3*12/v)/((-6)/(-81))? True Suppose h - 4 = 2*g - 4*g, -5*h - 7 = g. Suppose 336 = 4*z - u + g*u, 0 = -u. Does 19 divide z? False Suppose -3*p = -14 - 1. Suppose -27 = -4*u - 0*z + p*z, 0 = -u - z. Let w(h) = 2*h**3 + h**2 - 2*h + 4. Does 17 divide w(u)? False Let t(p) = -110*p**2 + 5 + 112*p**2 + 7*p + 1. Suppose l + 10 = -l. Is 7 a factor of t(l)? True Let s = 47 + -57. Let g = 85 + s. Is g a multiple of 10? False Suppose 5*x + 31 + 1 = k, -4*k = 3*x - 36. Let j be -1*k/8*-2. Suppose -2*g = 3*d - 176, -j*d + 227 = 5*g + 57. Does 15 divide d? True Let r(w) = w**2 - 10*w + 6. Let o be r(10). Suppose -o*n + 3*n = 6. Is (25/n - -3)*-2 a multiple of 13? False Let g = 1243 + -1055. Is 56 a factor of g? False Let x(q) = -25*q - 11. Let j be 2/10 - (-260)/(-50). Is x(j) a multiple of 18? False Is (6 + -4)*(-721 - 3)/(-2) a multiple of 35? False Let x(d) = 19*d. Let k be x(-3). Let w = k - -88. Is 10 a factor of w? False Let v(c) = c**2 - 14*c - 15. Let a be 1/(1 - (-3)/(-6)). Let y(t) = -5*t**2 + 57*t + 60. Let w(u) = a*y(u) + 9*v(u). Is 16 a factor of w(-6)? False Let c(p) = -3*p**3 - 6*p**2 - 2*p - 4. Let r be c(-4). Let w = r - 75. Is 10 a factor of w? False Does 36 divide 100/(-15) - -7 - (-2309)/3? False Suppose 67*y + 2265 = 72*y - 5*b, 0 = y + 5*b - 483. Is 22 a factor of y? False Let l(y) = -3*y + y + 3*y - 12. Let n be l(14). Suppose -5*q = 4*p - 184, -n*q - 122 = -2*p + 3*q. Is p a multiple of 7? False Suppose 0 = -5*w - 21 - 4, -3*u + 245 = -4*w. Does 25 divide u? True Suppose 0 = -2*d - 2*d + 280. Let c = d - 45. Is 6 a factor of c? False Let p be -5 - -8 - (1 - 0). Suppose 22 = 3*b + 4*v, -p*b - 4*v + 15 = -v. Suppose 8*h - 14 = b*h. Is 2 a factor of h? False Suppose b = 5*b - 3*b. Is 33 a factor of (-3 - (b - 228)) + 4? False Suppose 3*d - 649 = 800. Is d a multiple of 10? False Suppose -126 = -i + 5*x, 5*i = x - 170 + 776. Does 15 divide i? False Let g(y) be the third derivative of -1/60*y**5 + 1/3*y**3 - 5/24*y**4 + 0*y - 6*y**2 + 0. Is g(-4) a multiple of 6? True Let n(h) = -h**2 - 15*h - 49. Let c be n(-9). Suppose 65 = 2*w + c*i, 0 = -3*w - 0*i - i + 91. Is 10 a factor of w? True Suppose 1960 = 5*d - 28*l + 30*l, -4*d + 1535 = -5*l. Does 4 divide d? False Let j(d) = d**3 + 3*d**2 - 2*d + 12. Let o be j(-4). Suppose o*s - 1483 = -5*v - 0*s, -2*s = 2*v - 592. Is v a multiple of 53? False Suppose 297 = -4*w - 87. Let p = -42 - w. Is p a multiple of 27? True Suppose -4*v + 2*w + 3*w = 134, 68 = -2*v + 2*w. Suppose -4*s + 5*d = 53, -2*s - 46 = 3*d + d. Let c = s - v. Does 5 divide c? False Suppose -5*w - 363 = -p, -989 = -0*p - 3*p - 5*w. Is 26 a factor of p? True Suppose 6 = 4*f - 18. Let o be (-64)/f + (-1)/3. Let y = 19 + o. Is y a multiple of 4? True Let b(q) = 46 + 11*q + 71 - 10*q. Does 9 divide b(0)? True Let h(z) = 175*z**3 - 4*z**2 + 5*z - 1. Let y be h(1). Let w = 441 - y. Is w a multiple of 19? True Suppose 0 = -4*s + 23 - 11. Does 10 divide (88 - -5)/(s*1)? False Let q(a) = a**3 + 21*a**2 - 20*a + 43. Let i be q(-22). Let m(y) = -26*y**3 - y**2 - 3*y - 2. Is 13 a factor of m(i)? True Let l(t) = 550*t**2 - 48*t + 146. Does 29 divide l(3)? False
{ "pile_set_name": "DM Mathematics" }