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Let z = 0.8 - d. Let s = z - 4.162. What is s rounded to two dps? -0.06 Let w = -0.47 - -0.78. Let i = w - 26.31. Let g = -26.000038 - i. Round g to five dps. -0.00004 Let c = -168486.875067 + 168487. Let i = -0.015 - -0.14. Let d = c - i. What is d rounded to 5 dps? -0.00007 Let a = 0.12272 + 1.07752. Let j = 0.11 + -1.31. Let v = j + a. Round v to 4 dps. 0.0002 Let s be (-545)/(-1)*37/((-333)/(-3420)). What is s rounded to the nearest ten thousand? 210000 Let w = -160 - -160.0655. What is w rounded to two decimal places? 0.07 Let w be (-7)/(14/(-8)) + 30611993. Suppose -151388003 = 5*l + w. What is l rounded to the nearest 1000000? -36000000 Let b = 42.2816 - 42.1. Round b to 2 dps. 0.18 Suppose -4*g = 5*y, -y - 1 + 17 = 4*g. Let b be -36999997 - (-6)/(-10)*g. What is b rounded to the nearest 1000000? -37000000 Let h be (108868/12)/(5/(-15)). Let g = 14217 + h. Round g to the nearest one thousand. -13000 Let l = -0.096243 + -6.005497. Let n = 6.1 + l. Round n to four decimal places. -0.0017 Let t = 1 + -0.63. Let w = t - 0.36815. Round w to three decimal places. 0.002 Let v = 4213 + -4209.79992. Let p = -3.2 + v. What is p rounded to four decimal places? 0.0001 Let i be (3 - 188)*132000/(-3). Suppose r = -2*s + i, 1831254 = -3*s + 3*r + 14041254. What is s rounded to the nearest one hundred thousand? 4100000 Let s be ((-4)/8)/((-1)/6). Suppose 0 = -s*y + 26425036 - 6228253. Let w = -3267739 - y. What is w rounded to the nearest 1000000? -10000000 Let p = 4302515.999595 - 4302507. Let o = p + -9. Round o to 4 decimal places. -0.0004 Let k = -243 + 243.00147. What is k rounded to four decimal places? 0.0015 Suppose 0 = 3*y - 4 - 8. Suppose 0 = -v - v, y*a + 2560 = 4*v. Round a to the nearest one hundred. -600 Let x = -84.7265 - -38.6598. Let i = -46.1 - x. Round i to two dps. -0.03 Let y = -0.87 + 1.161. What is y rounded to one dp? 0.3 Let n = -1 + -128. Let w = n + 128.98. What is w rounded to one dp? 0 Let n = 80.26243 - 0.17243. Let h = -0.09 + n. Let o = -80.0000033 + h. Round o to six decimal places. -0.000003 Let l = -4344 + 4344.001907. What is l rounded to four decimal places? 0.0019 Let k = 285 + -284.99821. Round k to 4 dps. 0.0018 Let b = 938 - 888.7. Round b to zero dps. 49 Let f = -74 - -57. Let y(n) = n**3 + 9*n**2 - 17*n + 33. Let m be y(f). What is m rounded to the nearest one hundred? -2000 Let j(a) = -a - a**3 - 28 + 6*a**2 + 15 + 17. Let f be j(6). Let z be -4000001 - 2*f/4. What is z rounded to the nearest 1000000? -4000000 Let n = -2.055 + 17.365. Let y = -14.7 + n. Round y to one dp. 0.6 Let t(j) = j**2 - 11*j + 19. Let o be t(9). Let n be o - (-542396)/16 - 3/4. Round n to the nearest ten thousand. 30000 Let x = -159346221 + -77053779. What is x rounded to the nearest one million? -236000000 Let k = 979 - 978.9933. Round k to 2 dps. 0.01 Let y = -47 + 60.4. Round y to zero decimal places. 13 Let u(f) = 6*f. Let h be u(-2). Let k = h + 12. Suppose -3*p - 4*o - 596 = k, 7*p + 4*o + 796 = 3*p. Round p to the nearest 100. -200 Let h = 101814407 + -101814406.18099497. Let k = h - 0.819. Round k to 7 decimal places. 0.000005 Let i = -8.33999769 + 8.34. Round i to seven dps. 0.0000023 Let s(w) = 5839*w**3 + 6*w**2 - 4*w - 5. Suppose -5*x + 210 = -6*x. Let u be x/(-21)*(-1)/(-2). Let p be s(u). What is p rounded to the nearest 100000? 700000 Suppose 0 = 4*q - 2*d - 1069206, 5*q - 5*d + 2*d - 1336509 = 0. What is q rounded to the nearest ten thousand? 270000 Let o(y) = -48*y + 30 + 89*y - 42*y - 2*y**2. Let f be o(9). Round f to the nearest 10. -140 Let z(s) = s**3 - 7*s**2 + 3. Let k be z(7). Let x be (3 + -4)*k*-1. Suppose -w = w, x*r + 5*w = -108. What is r rounded to the nearest ten? -40 Let y = 4386 + -855. Suppose m = 4*x + y + 1185, 4*m - 2344 = 2*x. Round x to the nearest 100. -1200 Let d = 414.645 - 0.645. Let p = d - 413.9429. Round p to 2 dps. 0.06 Let a = 53.75 + -53.7500013971. What is a rounded to seven decimal places? -0.0000014 Let s = -499 - -433.2. Let v = -65 - s. What is v rounded to the nearest integer? 1 Let a = 4072 - 4097.27. What is a rounded to the nearest integer? -25 Let u(l) = 87*l - 20. Suppose 12*f + 41 = -79. Let m be u(f). What is m rounded to the nearest 1000? -1000 Let o = -93.97076 - -94. Let k = o + -0.027. Round k to 4 dps. 0.0022 Let d = -47.3 - -47.300571. Round d to 4 dps. 0.0006 Suppose -3*g = -8*g + 4*y + 244984, 5*g = -y + 245004. Round g to the nearest 1000. 49000 Let p = -1594.1 + 1072.4. Round p to the nearest ten. -520 Let v = 0.31 + 6.354. Let x = -9.036 - -9. Let i = v - x. Round i to 0 dps. 7 Let j = 0.09 - 2.49. Let u = 17.1 + j. Round u to the nearest integer. 15 Let k = 142 + -121. Let p = k - 21.000111. Round p to 5 dps. -0.00011 Let y be 4/1*(52999 + (-5)/(-5)). What is y rounded to the nearest ten thousand? 210000 Let s = 0.03277204 - 0.03287. What is s rounded to 6 decimal places? -0.000098 Let h = 0.019 - 43.219. Let k = -43.001 - h. What is k rounded to 2 decimal places? 0.2 Let x = 3823 - 3822.95958. What is x rounded to three dps? 0.04 Let u = 141.00000061 - 141. Round u to seven dps. 0.0000006 Let a = -2483013.24072 + -160308.959406. Let o = a - -2643288.2. Let n = o + 34. What is n rounded to 5 dps? -0.00013 Let n be (-229362172)/(-301) - (-8)/(-14). Round n to the nearest ten thousand. 760000 Let h be 16/14*21*4/24. Let g(j) = -12503*j**2 + 12*j. Let v be g(h). What is v rounded to the nearest 10000? -200000 Let k = -98 - -97.9999471. What is k rounded to 5 decimal places? -0.00005 Let n = -2.3 + 27.3. Let d = n + -25.02. Let x = d - -0.01912. Round x to 4 dps. -0.0009 Let u(y) = 8383*y**2 - 13*y + 94. Let o be u(9). Round o to the nearest one hundred thousand. 700000 Let p = 132.8 + -132.799997855. Round p to 7 dps. 0.0000021 Let i = -1634.9524 - -1635. What is i rounded to 3 decimal places? 0.048 Let y = -1179 + 1179.000001966. Round y to seven dps. 0.000002 Let l = -0.0311 + 0.04164. Round l to 3 dps. 0.011 Let o = -331 + 331.000385. Round o to five dps. 0.00039 Let u = -1.597998063 - -1.598. What is u rounded to seven decimal places? 0.0000019 Let g(u) = 39000*u**3 + u**2 - 9*u - 10. Suppose -3*c + 2*c + 10 = 0. Let v be g(c). Round v to the nearest 1000000. 39000000 Let k(s) = 3*s**2 + 10 + 0 - 13*s - 1 - 46*s**3 - 1. Let g be k(9). Round g to the nearest one thousand. -33000 Let w = -89.9 - -9.9. Let q = w - -80.00000049. Round q to 7 decimal places. 0.0000005 Let r = 25777777.0113049 + -25809038.7773. Let w = r + 31259.366. Let q = w + 2.4. What is q rounded to six dps? 0.000005 Let s = -182.7 + 213.58. Let z = 32.55 - 0.55. Let i = s - z. Round i to one dp. -1.1 Let b = 4285.23 - 4258. Let j = 56 - 29. Let c = j - b. Round c to 1 dp. -0.2 Let l = 1538599.23999979 - 1538562.24. Let c = l + -37. Round c to 7 dps. -0.0000002 Let a(x) = -3*x + 7. Let y be a(-7). Let v = y - 29. Let k be (v + 2)/(1/190000). What is k rounded to the nearest 100000? 200000 Let t = -351 - -351.0398. Round t to three dps. 0.04 Let q = 700.0638 + -0.0638. Let k = 699.99679 - q. Round k to four decimal places. -0.0032 Let a = -442.098 - -0.098. Let z = a - -542.6. Let g = z + -111. What is g rounded to the nearest integer? -10 Let m = 187 + 15. Let r = m - 202.00137. Round r to four dps. -0.0014 Let l = -2 - 10. Let d = l - -12.1. Let m = d - 0.09963. Round m to 4 dps. 0.0004 Let w = -3.53 - 0.37. Let g = w + 1.1. Let q = g + 2.79956. What is q rounded to four decimal places? -0.0004 Let d = -37 - -37. Suppose 45305 = 3*w - s, d = -w + 5*w + s - 60395. What is w rounded to the nearest 1000? 15000 Let t(i) = -i + 10. Let x be t(6). Suppose 5991 = x*o + 43. Suppose 3*g - o - 223 = 0. Round g to the nearest one hundred. 600 Let x = -13985 - -13976.001. Let d = -9 - x. Let q = d - -0.0010092. Round q to six decimal places. 0.000009 Let v = 394 + -394.00001079. Round v to 6 dps. -0.000011 Let s = 223597 + -223302.766. Let y = s + -294. Round y to two decimal places. 0.23 Let r = -1941 - -1924.26. Let f = -0.26 + r. Let y = 16.9934 + f. What is y rounded to 3 decimal places? -0.007 Let j(d) = 110*d**2 - 16*d - 116. Let i be j(-16). Round i to the nearest ten thousand. 30000 Let r = -5 - -5.7. Let x = 874.1 - 873.4007. Let j = r - x. What is j rounded to four decimal places? 0.0007 Let
{ "pile_set_name": "DM Mathematics" }
irst derivative of -1/2*q**2 + t + 0*q. Give -6*w(u) + 2*x(u). 6*u**2 Let g(k) = -1287*k**2 - 169. Let d be (-71639)/(-426) + ((-70)/12)/(-7). Let a(i) = -46*i**2 - 6. What is d*a(h) - 6*g(h)? -52*h**2 Let d(a) = 5*a**3 - 5*a**2 + 3*a - 5. Let b(r) = -4*r**3 + r**2. Determine 5*b(t) + d(t). -15*t**3 + 3*t - 5 Let n(q) = -q**3 - 21*q**2 + 24*q. Let r(f) = 3*f**3 - f**2 + 4*f. Determine n(o) - 6*r(o). -19*o**3 - 15*o**2 Suppose -h - 52 = 8*o - 29, -h = 4*o + 11. Let t(n) = 3*n**2 - 4*n - 8. Let y(c) = -c - 1. Give h*t(q) - 4*y(q). 3*q**2 - 4 Let s(o) = 13*o**3 + 1064*o**2. Let w(r) = -7*r**3 - 533*r**2. Calculate 5*s(c) + 9*w(c). 2*c**3 + 523*c**2 Let a be 270/(-21) - 7/49. Suppose 12*l - 112 = -2*l. Let v(o) = 5*o**3 - 2*o**3 + 4*o**3 + l*o**3 - 11*o. Let z(p) = -7*p**3 + 5*p. Give a*z(s) - 6*v(s). s**3 + s Let c(d) = 8*d**2 - d - 2. Let p(x) = -8*x**2 + 4*x + 7. Determine 4*c(s) + p(s). 24*s**2 - 1 Let r(q) = 351*q + 12. Let b(u) = -226*u - 8. Let z(k) = -14*b(k) - 9*r(k). Let g(a) = 6*a + 5. Let x = 3 - 0. Give x*g(y) - 4*z(y). -2*y - 1 Let v(b) = -1479*b**3 + 221*b**2. Let y(t) = -20*t**3 + 3*t**2. Suppose -42*p + 287 - 95 = -60. Calculate p*v(o) - 442*y(o). -34*o**3 Let x(h) = -4*h**3 + 543*h**2 + 232*h. Let r(n) = 3*n**3 - 541*n**2 - 154*n. Give -3*r(o) - 2*x(o). -o**3 + 537*o**2 - 2*o Let f(i) = -1. Let q(z) = 4*z - 9. Let m be 13/(-351)*-20622 + (-4)/(-18). Let b = -762 + m. Give b*q(y) - 18*f(y). 8*y Let o(i) = -4*i**2 + 31*i - 7. Let s(p) = 5*p**2 - 32*p + 13. Give -3*o(v) - 2*s(v). 2*v**2 - 29*v - 5 Let b(o) = -8*o + 3. Let q(i) = i. Let p(y) = -26*y**2 - 651*y - 24. Let n be p(-25). Calculate n*b(k) + 5*q(k). -3*k + 3 Let h(o) = -153*o**2 + 12. Let u(j) = -59*j**2 - 4. Let d(g) = -34*g**2 - 1. Let b(a) = 7*d(a) - 3*u(a). What is -12*b(x) + 5*h(x)? -33*x**2 Let h(d) = 19*d**3 + d**2 - 4*d + 1. Let z(f) = 6369*f + 34*f**2 - 6372*f + 19*f**3 - 34*f**2. Determine -2*h(w) + 3*z(w). 19*w**3 - 2*w**2 - w - 2 Let t = 4075 + -4078. Let f(x) = -7*x**3 + 2*x + 4. Let p(i) = -8*i**3 + 2*i + 3. Determine t*f(l) + 4*p(l). -11*l**3 + 2*l Let z(i) = 5*i**3 + 3*i**2 + 6*i - 3. Let d(a) = 9*a**3 + 5*a**2 + 12*a - 5. Suppose 13*u = 12*u + 2*w - 5, 0 = -2*w. Give u*z(n) + 3*d(n). 2*n**3 + 6*n Let b(s) = -10*s**3 - 5*s**2 + 4*s - 1. Let r(m) = -51*m - 358. Let f be r(-7). Let t(j) = -j**3 - j**2. Determine f*b(l) + 5*t(l). 5*l**3 - 4*l + 1 Let s(p) = 7*p - 80. Let l(u) = 16*u - 161. Give -2*l(q) + 5*s(q). 3*q - 78 Let d(f) = -8*f - 7. Suppose -x - 11 = -2*j, -16*j = -21*j - 3*x. Let w(q) be the first derivative of 2*q**2 + 3*q - 6. Give j*d(y) + 7*w(y). 4*y Let x(q) = q - 20. Let o(t) = 89*t - 2. Let c(z) = 802*z - 18. Let v(w) = c(w) - 9*o(w). Determine -2*v(u) + x(u). -u - 20 Let q(b) = 3659*b**2 + 57*b - 6. Let x(u) = 3661*u**2 + 68*u - 7. What is 6*q(a) - 5*x(a)? 3649*a**2 + 2*a - 1 Let m(b) = -b**3 + b**2 + 1. Let f(q) = 5*q**3 + 12*q**2 - 4. Let p be (-7)/2 + ((-66)/4 - -16). What is p*m(d) - f(d)? -d**3 - 16*d**2 Let m(q) = -351*q**3 - 10*q**2 + 2*q - 4. Let g(w) = 701*w**3 + 22*w**2 - 4*w + 9. Calculate -4*g(z) - 9*m(z). 355*z**3 + 2*z**2 - 2*z Let t(k) = -39*k + 5. Let d(z) = 41*z - 3. Give 6*d(g) + 5*t(g). 51*g + 7 Suppose 3*v - 3 = 3*j, 0*j + 5*v = 3*j + 3. Let h(m) be the second derivative of m**4/12 + m**3/2 - 2073*m. Let p(r) = r**2 - 1. Determine j*p(l) - h(l). -2*l**2 - 3*l + 1 Suppose -152 = -10*w - 132. Let o(z) = z**2 - 1. Let q(x) = 10*x**2 - x - 2. Determine w*o(u) - q(u). -8*u**2 + u Let l(m) = -1427101*m**2 + 1661*m - 9966. Let y(c) = -2576*c**2 + 3*c - 18. Calculate 6*l(k) - 3322*y(k). -5134*k**2 Let k(m) = 81*m**3 - 9*m**2 - 18*m + 109. Let o(f) = 40*f**3 - 4*f**2 - 8*f + 49. Give 4*k(j) - 9*o(j). -36*j**3 - 5 Let l be (3 + (-20)/6)/((-1)/3). Let q(d) = l - 9*d + 1 - 8*d. Let h(t) = -9*t + 1. Let u(b) = 5*h(b) - 3*q(b). Let g(z) = -9*z + 2. Determine 5*g(v) + 8*u(v). 3*v + 2 Let f(o) = -13*o. Let x(l) = -6*l**2 + 2*l + 1. Let w be x(-1). Let a(y) be the first derivative of 13*y**2/2 - 6570. Give w*f(b) - 6*a(b). 13*b Let x(s) = -2*s - 4193. Let f(l) = -l - 2116. Give 9*f(y) - 4*x(y). -y - 2272 Let j(o) = -10*o**2 - 9*o + 890. Let u(l) = -18*l**2 - 16*l + 1781. Calculate -7*j(f) + 4*u(f). -2*f**2 - f + 894 Let t(p) = 7*p**3 + 3*p**2 - 6. Let j be (-2)/8 + 2*47/(-8). Let l be (0 + 16/j)*3. Let a(h) = -8*h**3 - 4*h**2 + 7. Give l*a(d) - 5*t(d). -3*d**3 + d**2 + 2 Let x(m) be the first derivative of m**4/4 + m**3/3 + m + 2401. Let a(y) = 5*y**3 + 4*y**2 + 4. Determine -a(l) + 4*x(l). -l**3 Suppose -t - 2*t - 39 = 0. Let n(x) be the second derivative of 7*x**5/20 - 7266*x. Let i(s) be the second derivative of -3*s**5/4 - s. What is t*n(y) - 6*i(y)? -y**3 Let n(c) = 6*c**3 + 8*c**2 + 8*c + 8. Let w be 5915/27 - 12/162. Let h = w + -216. Let t(d) = -d**3 - d**2 - d - 1. What is h*n(k) + 24*t(k)? -6*k**3 Suppose r = -3*h + 60, 0 = -13*h + 14*h - 6*r + 18. Let v(d) = 42*d. Let c(x) = -x. Give h*c(f) + v(f). 24*f Let b(u) = 25*u + 4. Let y(z) = 126*z + 21. Let r = -45516 + 45512. Determine r*y(o) + 21*b(o). 21*o Let j(z) = -3*z**2 + 2*z**2 - z**3 - 3 + 12*z**2 + 8. Let m(d) be the first derivative of -5*d**3/3 - 2*d + 306. Calculate 2*j(n) + 5*m(n). -2*n**3 - 3*n**2 Let m(u) = u**2 + 8*u - 307. Let n(v) = -v**2 - 7*v + 301. Determine 5*m(b) + 6*n(b). -b**2 - 2*b + 271 Let s(c) = -5585*c - 14. Let q(j) = -5584*j - 16. Calculate 6*q(z) - 7*s(z). 5591*z + 2 Let p(l) = 287*l + 5 - 608*l + 288*l. Let s(a) = 34*a - 4. Calculate 5*p(g) + 6*s(g). 39*g + 1 Let h(o) = 21129*o**3 - 63*o**2 - 9*o. Let g(r) = -5282*r**3 + 14*r**2 + 2*r. What is -18*g(j) - 4*h(j)? 10560*j**3 Let w(c) = -c**2 - c - 1. Let l be 1*(-1)/3*3. Let x(f) be the third derivative of f**5/20 + f**4/8 + 5*f**3/6 - 11*f**2 + 72*f - 14. Determine l*x(o) - 5*w(o). 2*o**2 + 2*o Let q(u) = 8*u - 5. Let c(l) = 39*l - 24. Suppose -b + 12 = 4*m, 6*b - 3*b = 4*m + 4. Suppose m*t + 102 = 4*a, a - 2*a + t = -27. Calculate a*q(y) - 5*c(y). -3*y Let p(g) = 4*g + 4*g + 5*g - 15*g + 3. Let u(c) be the first derivative of -c**2 + 2*c - 153. What is -3*p(w) + 4*u(w)? -2*w - 1 Let u(v) = 17*v**3 - 539*v**2 + 26*v + 41. Let z(c) = -8*c**3 + 269*c**2 - 12*c - 19. Calculate -6*u(b) - 13*z(b). 2*b**3 - 263*b**2 + 1 Let m(r) = -11*r**2 - 2*r - 9*r + 10258*r**3 - 10274*r**3 - 11. Let q(n) = 5*n**3 + 4*n**2 + 4*n + 4. What is -4*m(a) - 11*q(a)? 9*a**3 Let n(x) = 8*x**3 - 17*x - 4. Let g(p) = -p**3 - p**2 - 2*p + 1. What is -4*g(s) - n(s)? -4*s**3 + 4*s**2 + 25*s Let q(i) = i**2 + 6*i + 3. Let a(f) = -f**2 - 5*f - 3. Let x(v) = -v**2 - 15*v + 244. Let n be x(10). Give n*a(c) - 5*q(c). c**2 + 3 Suppose 0 = 131*f + 20*f + 43*f + 776. Let q(n) = -2*n - 1. Let a(h) = -5*h - 2. Calculate f*a(i) + 9*q(i). 2*i - 1 Let l(o) = 4*o**2 - 7*o + 2. Let b(w) = -2*w**2 + 4*w - 1. Let p be (-5 - (-32)/(-40)*10) + 18. What is p*b(g) + 3*l(g)? 2*g**2 - g + 1 Let k(m) = 5*m**2 - m + 1. Let q(t) be the second derivative of -t**4/3 + t**3/6 - t**2/2 + 2*t. Let r = 67 - 77. Let p = 5 + r. Calculate p*k(d) - 6*q(d). -d**2 - d + 1 Let x(i) = 7*i**2 + i - 4. Let c(g) = 103*g**2 - 5*g + 13. Determine -c(q) - 3*x(q). -124*q**2 + 2*q - 1 Let f(m) = -5*m**3 - 12*m**2 + 24. Let n(g) = 4*g**3 + 10*g**2 - 21. Calculate 5*f(o) + 6*n(o). -o**3 - 6 Let f(h) = 36*h**2 - 132*h + 36. Let l(v) = -9*v**2 + 33*v - 9. What is 6*f(s) + 23*l(s)? 9*s**2 - 33*s + 9 Let b(j) = -19*j**2 - 4*j - 17. Let q(s) = -19*s**2 - 3*s - 14. Let x(n) = -3*b(n) + 4*q(n). Let o(u) = 210*u**2 + 56. Calculate 5*o(k) + 56*x(k). -14*k**2 Let m(s) = -8*s**2 - 625*s - 680. Let g be m(-77). Let f(r) be the second derivative of g*r - 1/2*r**2 + 0. Let c(q) = 2*q**3 - 2. Calculate -c(p) + 2*f(p). -2*p**3 Let c(s) = -s**2 - s - 1. Let h(b) = -25*b**2 - 3*b - 36. Let g(l) = -9*l**2 - l - 13. Let j(x) = -8*g(x) + 3*h(x). Let u = -21 + 20. Determine u*j(w) + 4*c(w). -w**2 - 3*w Let w(u) = -u**2 + u + 1. Let t(x) = -2*x**2 + 4*x + 28. Let h = 141 - 145. Determine h*w(o) + t(o). 2*o**2 + 24 Let n be 1*-21*(4/7 + -2). Let y(r) = 4*r**3 + 6*r - n + 36 + 3*r**3 - 2*r**3. Let h(d) = 9*d**3 + 11*d + 11. Determine -6*h(p) + 11*y(p). p**3 Let r(z) = 17*z**3 - 17*z**2 - 17*z - 4. Let a(f) = -29*f**3 + 39*f**2 + 34*f + 9. Determine 4*a(b) + 9*r(b). 37*b**3 + 3*b**2 - 17*b Let o(f) = 129
{ "pile_set_name": "DM Mathematics" }
r when 3399936 is divided by 7. 1 Calculate the remainder when 145921 is divided by 1920. 1 What is the remainder when 289761 is divided by 45? 6 Calculate the remainder when 4258 is divided by 1064. 2 What is the remainder when 22729 is divided by 39? 31 What is the remainder when 20473 is divided by 6813? 34 What is the remainder when 3346 is divided by 2900? 446 Calculate the remainder when 16086 is divided by 201. 6 What is the remainder when 4619 is divided by 1140? 59 Calculate the remainder when 1262 is divided by 232. 102 Calculate the remainder when 47485 is divided by 162. 19 What is the remainder when 30613 is divided by 45? 13 Calculate the remainder when 11425 is divided by 816. 1 Calculate the remainder when 112661 is divided by 66. 65 What is the remainder when 2571 is divided by 65? 36 What is the remainder when 978262 is divided by 126? 124 Calculate the remainder when 1617 is divided by 18. 15 Calculate the remainder when 6226 is divided by 2837. 552 What is the remainder when 2313 is divided by 1986? 327 Calculate the remainder when 14222 is divided by 3554. 6 What is the remainder when 55333 is divided by 21? 19 Calculate the remainder when 542284 is divided by 1339. 1328 Calculate the remainder when 1844 is divided by 423. 152 Calculate the remainder when 22487 is divided by 2494. 41 Calculate the remainder when 8626 is divided by 62. 8 Calculate the remainder when 20739 is divided by 133. 124 What is the remainder when 1866 is divided by 189? 165 Calculate the remainder when 2126 is divided by 108. 74 What is the remainder when 19853 is divided by 34? 31 What is the remainder when 1012566 is divided by 13? 9 What is the remainder when 116372 is divided by 113? 95 What is the remainder when 30848 is divided by 10274? 26 Calculate the remainder when 15724 is divided by 107. 102 What is the remainder when 11043 is divided by 215? 78 Calculate the remainder when 7622 is divided by 77. 76 Calculate the remainder when 8002 is divided by 568. 50 What is the remainder when 9339 is divided by 54? 51 Calculate the remainder when 94960 is divided by 195. 190 Calculate the remainder when 209118 is divided by 104551. 16 Calculate the remainder when 127586 is divided by 63786. 14 Calculate the remainder when 55013 is divided by 92. 89 What is the remainder when 735494 is divided by 57? 23 What is the remainder when 1381 is divided by 106? 3 What is the remainder when 219 is divided by 43? 4 Calculate the remainder when 92 is divided by 37. 18 What is the remainder when 25247 is divided by 3551? 390 Calculate the remainder when 30817 is divided by 668. 89 What is the remainder when 575011 is divided by 58? 57 What is the remainder when 1889 is divided by 1879? 10 What is the remainder when 375935 is divided by 19786? 1 Calculate the remainder when 1345 is divided by 256. 65 Calculate the remainder when 1709 is divided by 1625. 84 Calculate the remainder when 5729 is divided by 1896. 41 What is the remainder when 162044 is divided by 361? 316 Calculate the remainder when 30394 is divided by 724. 710 Calculate the remainder when 162256 is divided by 40550. 56 Calculate the remainder when 263702 is divided by 95. 77 Calculate the remainder when 231661 is divided by 10. 1 Calculate the remainder when 889715 is divided by 25. 15 What is the remainder when 3570 is divided by 1141? 147 What is the remainder when 739 is divided by 49? 4 Calculate the remainder when 7013 is divided by 228. 173 Calculate the remainder when 814931 is divided by 9. 8 Calculate the remainder when 58359 is divided by 11607. 324 What is the remainder when 146864 is divided by 24476? 8 Calculate the remainder when 30744 is divided by 177. 123 Calculate the remainder when 43839 is divided by 47. 35 What is the remainder when 37406 is divided by 16? 14 What is the remainder when 4886 is divided by 4847? 39 Calculate the remainder when 47677 is divided by 524. 517 Calculate the remainder when 5353 is divided by 950. 603 What is the remainder when 5048 is divided by 150? 98 Calculate the remainder when 3874 is divided by 7. 3 Calculate the remainder when 91639 is divided by 91617. 22 What is the remainder when 144431 is divided by 28884? 11 Calculate the remainder when 31000 is divided by 7714. 144 Calculate the remainder when 2545 is divided by 150. 145 What is the remainder when 53236 is divided by 4839? 7 What is the remainder when 91202 is divided by 101? 100 What is the remainder when 9175 is divided by 153? 148 Calculate the remainder when 246 is divided by 67. 45 What is the remainder when 4627 is divided by 864? 307 Calculate the remainder when 81897 is divided by 1321. 1316 What is the remainder when 2221 is divided by 107? 81 Calculate the remainder when 9662 is divided by 39. 29 What is the remainder when 8793 is divided by 4366? 61 Calculate the remainder when 138616 is divided by 152. 144 What is the remainder when 2506 is divided by 1219? 68 What is the remainder when 6772 is divided by 2255? 7 What is the remainder when 42717 is divided by 240? 237 Calculate the remainder when 21183 is divided by 557. 17 Calculate the remainder when 22963 is divided by 103. 97 Calculate the remainder when 245713 is divided by 182. 13 What is the remainder when 1821939 is divided by 797? 794 Calculate the remainder when 151225 is divided by 208. 9 Calculate the remainder when 272333 is divided by 90774. 11 What is the remainder when 2050984 is divided by 987? 985 Calculate the remainder when 2111 is divided by 106. 97 Calculate the remainder when 421712 is divided by 105423. 20 What is the remainder when 178096 is divided by 569? 568 What is the remainder when 581732 is divided by 64636? 8 Calculate the remainder when 30083 is divided by 51. 44 Calculate the remainder when 1044 is divided by 862. 182 What is the remainder when 29202 is divided by 218? 208 Calculate the remainder when 3505 is divided by 18. 13 Calculate the remainder when 3358 is divided by 175. 33 What is the remainder when 72079 is divided by 523? 428 Calculate the remainder when 22155 is divided by 20. 15 Calculate the remainder when 241846 is divided by 4563. 7 Calculate the remainder when 3004817 is divided by 65. 62 Calculate the remainder when 7008 is divided by 275. 133 What is the remainder when 814 is divided by 556? 258 What is the remainder when 7349899 is divided by 98? 95 Calculate the remainder when 36985 is divided by 265. 150 What is the remainder when 3689 is divided by 30? 29 Calculate the remainder when 37718 is divided by 5369. 135 What is the remainder when 4448 is divided by 204? 164 Calculate the remainder when 7831 is divided by 2584. 79 Calculate the remainder when 18325 is divided by 119. 118 What is the remainder when 97782 is divided by 582? 6 Calculate the remainder when 37819 is divided by 12603. 10 Calculate the remainder when 454801 is divided by 118. 29 What is the remainder when 104035 is divided by 11? 8 Calculate the remainder when 1606 is divided by 268. 266 Calculate the remainder when 80676 is divided by 95. 21 What is the remainder when 619563 is divided by 22? 21 Calculate the remainder when 323 is divided by 283. 40 Calculate the remainder when 31815 is divided by 278. 123 Calculate the remainder when 1630 is divided by 1492. 138 Calculate the remainder when 14917 is divided by 604. 421 What is the remainder when 45951 is divided by 6562? 17 What is the remainder when 2022 is divided by 780? 462 Calculate the remainder when 31436 is divided by 1164. 8 What is the remainder when 4802 is divided by 52? 18 Calculate the remainder when 174552 is divided by 808. 24 Calculate the remainder when 689446 is divided by 440. 406 What is the remainder when 10299 is divided by 21? 9 Calculate the remainder when 43194 is divided by 535. 394 Calculate the remainder when 13680 is divided by 263. 4 Calculate the remainder when 2934 is divided by 429. 360 Calculate the remainder when 28219 is divided by 112. 107 Calculate the remainder when 35506 is divided by 7099. 11 What is the remainder when 1631928 is divided by 412? 408 What is the remainder when 10972 is divided by 99? 82 What is the remainder when 548 is divided by 59? 17 Calculate the remainder when 542910 is divided by 7
{ "pile_set_name": "DM Mathematics" }
*(-15))/i)/(i*i**(-2/5)) assuming i is positive. i**(-78/5) Simplify (t/((t**(-1)*t)/t))**(1/72)*t/(t/(t/t**(-1/9)))*t/(t/(t*t**(2/5))*t) assuming t is positive. t**(277/180) Simplify l**(-13)*l/(l/l**2) assuming l is positive. l**(-11) Simplify (((p**19*p)/p)/p)/(p**34/p) assuming p is positive. p**(-15) Simplify (v/v**(-2/5))**(-44) assuming v is positive. v**(-308/5) Simplify (a/(a*a/(a*a/a**(2/5)))*a)**(8/3)/(a*a**7*a*a/a**(-1/5)) assuming a is positive. a**(-89/15) Simplify (r*r**(-9/5)/r)**(-2/49) assuming r is positive. r**(18/245) Simplify (f**1*f**2/f)/(f**(3/2)*f**5*f) assuming f is positive. f**(-11/2) Simplify (((q/(q/(q*q*q**(-1))))/q)/(q/q**(-2/7)))/(q*q**0)**(-13/2) assuming q is positive. q**(73/14) Simplify y**5*y**(3/2)*(y*y/(y*y/(y*y**(-2/5)/y)*y))**28 assuming y is positive. y**(-327/10) Simplify (o/(o/(o/o**(-4))*o*o)*o*(o/(o/(o/o**6)))/o)/((o*o**(1/3))/o)**(-39) assuming o is positive. o**11 Simplify (y*y**16)**(9/2) assuming y is positive. y**(153/2) Simplify q**(-6)*(q/(q*q**(-22)))/q assuming q is positive. q**15 Simplify g*g**13*g*g*g**28*g assuming g is positive. g**45 Simplify z**25/(z/z**(-38)) assuming z is positive. z**(-14) Simplify t**(-2/9)/t**(3/4)*t**(-6)/t**(1/5) assuming t is positive. t**(-1291/180) Simplify (y/((y*y**(-4/7)*y)/y))/(y*y**(-3/5)) assuming y is positive. y**(6/35) Simplify (g**2/g)**30 assuming g is positive. g**30 Simplify o/(o**(-5)*o)*o**(-3/7)*(o**(2/7)*o)**(-45) assuming o is positive. o**(-373/7) Simplify (n/n**(-1/3)*n)**(-33)*(n**(-2/7)/n)**(-50) assuming n is positive. n**(-89/7) Simplify (c/((c**(-1/4)/c)/c))/c**0*(c/((((c/(c*c**(-6)))/c)/c)/c))/c**(1/4) assuming c is positive. c Simplify ((g/(g**(-2/3)/g))/g*g*g/(g*g**(-5)*g*g))**(-8) assuming g is positive. g**(-136/3) Simplify (i*(((((i*(i**(-8)/i)/i*i*i)/i)/i)/i)/i)/i)**(4/23) assuming i is positive. i**(-44/23) Simplify n/(n**(-13)/n)*n*n**(6/19)/n assuming n is positive. n**(291/19) Simplify (a*(a*a**(3/5))/a)**(2/39)/((a*(a*a*(a*a**3/a)/a)/a)/(a**8*a*a)) assuming a is positive. a**(1186/195) Simplify ((i/(i/i**(-2/11)))**(-15/8))**30 assuming i is positive. i**(225/22) Simplify (((f*(f*f/f**(-2)*f)/f*f)/f)/(f/f**(-6)))**(-6/5) assuming f is positive. f**(12/5) Simplify (u*u/u**0)**(3/52)/(u**(-1))**42 assuming u is positive. u**(1095/26) Simplify (t**0/t)**(2/33) assuming t is positive. t**(-2/33) Simplify (m**(-12))**(2/123) assuming m is positive. m**(-8/41) Simplify (o*o/(o**(-1/8)*o))/((o**(-6/7)*o*o)/o) assuming o is positive. o**(55/56) Simplify j**(-2/5)/(j/(j/(j/(j*j/(j/(j/(j*j**(-1/2))*j))*j))))*(j*j*j*j*j**(1/2))**(-2/59) assuming j is positive. j**(1149/590) Simplify (h**4*h/h**(-5/3))/(h/((h*h**(-2/5)/h*h*h*h)/h))**(1/30) assuming h is positive. h**(1003/150) Simplify ((g**0*g)**(2/165))**(-23) assuming g is positive. g**(-46/165) Simplify (g/(g**(-2)/g))**22/(g**(-2)*g)**(-39) assuming g is positive. g**49 Simplify r/(r/(r*r**(1/7)/r))*r**(-7)*r*r*r**(-7)*(r*r*r/(r/r**(-2/9))*r)/r assuming r is positive. r**(-635/63) Simplify ((p**1*p)**2)**(14/11) assuming p is positive. p**(56/11) Simplify ((q*q**(-4/15))/q)/(q*q**(2/11)) assuming q is positive. q**(-239/165) Simplify h**(2/3)*h/(h*h**(-1/6)/h*h*h)*h/(h**(-6)/h)*h**(-6) assuming h is positive. h**(11/6) Simplify r**(2/5)*r/r**(-13/5) assuming r is positive. r**4 Simplify (x*x/(x*(x/x**1*x*x)/x))**27*(x*x**(2/11)*x*x)/(x/x**(2/5)) assuming x is positive. x**(142/55) Simplify g*g*g**(-1)*g*g**(3/31) assuming g is positive. g**(65/31) Simplify (o**7*o*o)**(5/16) assuming o is positive. o**(45/16) Simplify (g**(1/4)/g**(-10))**(-3/23) assuming g is positive. g**(-123/92) Simplify (y*y**(-7)*y**0/y)/(((y/((y**(-5)*y)/y*y))/y)/y**(-9)) assuming y is positive. y**(-20) Simplify (o*(o/(o*o**35))/o*o)**(1/19) assuming o is positive. o**(-34/19) Simplify (l**(2/59)*l)/l*l**(1/6) assuming l is positive. l**(71/354) Simplify ((a*(a*a*a**(1/4))/a)**20)**7 assuming a is positive. a**315 Simplify (v**11)**(-5/6) assuming v is positive. v**(-55/6) Simplify (n**1)**26/(n**0)**(-8) assuming n is positive. n**26 Simplify j**28*(j/(j/(j*j**(-22))))/j assuming j is positive. j**6 Simplify (c/(c/((c/c**(3/8)*c)/c*c)))/c**(-4/7) assuming c is positive. c**(123/56) Simplify (r**(-2/9)/(r**(-1/8)/r*r))**(-1/60) assuming r is positive. r**(7/4320) Simplify (l/(l*l/(l*l**(-5)*l))*l**6)/(l*l**(1/4))**(-4) assuming l is positive. l**7 Simplify (f**0/f**(2/5))**(-1/3) assuming f is positive. f**(2/15) Simplify (g*g**(4/7)*g*g)**(1/30) assuming g is positive. g**(5/42) Simplify (((w**(-7/5)/w)/w)/w*(w*w**1/w)/w)**15 assuming w is positive. w**(-66) Simplify (k/(((k/(k**0/k)*k)/k*k)/k))**(-16)*(k/(k/(k*k*k*k**(-5/3)*k)))/k*k*(k/(k*k**2*k))/k assuming k is positive. k**(43/3) Simplify c**(3/4)*c**(-7)*(c*c**(-6))/(c**5/c) assuming c is positive. c**(-61/4) Simplify (w**(-1/14)*((w*w**(1/5))/w)/w)/(w**1/w**(-2/3)) assuming w is positive. w**(-533/210) Simplify ((x/((x/x**(1/4))/x))**(-1))**(2/39) assuming x is positive. x**(-5/78) Simplify f**(1/9)/f**2 assuming f is positive. f**(-17/9) Simplify (x**(-2/3)/x)**(1/15) assuming x is positive. x**(-1/9) Simplify ((f/(f*f/f**(-3)*f))/f)/f**(-1/2)*f/(f**(-2/7)/f)*f/(f*f*(f*f**(4/5)*f)/f) assuming f is positive. f**(-421/70) Simplify (d**1)**(-1)*d**(-3)*d**2 assuming d is positive. d**(-2) Simplify (q*q/q**(-8)*q**(-1/4)*q)/((q/((q/(q/(q/q**(-7))))/q))/(q/(q/q**4))) assuming q is positive. q**(83/4) Simplify (n/n**(2/7))**(17/2)*n**(-6)/n**7 assuming n is positive. n**(-97/14) Simplify (((n/(n*n/(n*n**9*n)))/n)/n**(7/5))**(-34) assuming n is positive. n**(-1292/5) Simplify ((u*u**(6/11)*u*u)/(u**(1/4)/u))/((u/u**(4/7))/(u/(u/(u**(3/7)/u)))) assuming u is positive. u**(145/44) Simplify (o*o*o**9)/o**(2/9)*(o**(-1)*o)**(-28) assuming o is positive. o**(97/9) Simplify (o/(o*o*(o*o*o**6/o)/o*o)*o*o**1)/(((o/(o*o/o**5))/o)/o*o/o**0) assuming o is positive. o**(-9) Simplify (i/(i/(i*i/(i*i**(-11)))*i*i)*i**0)**(-2/63) assuming i is positive. i**(-20/63) Simplify ((n**(2/13)*n*n*n)/n*n)**(2/39) assuming n is positive. n**(82/507) Simplify (z**(-4)*z)/z**16 assuming z is positive. z**(-19) Simplify ((b/((b*(b*b/(b/b**(-1/6)*b))/b*b)/b))/b)/b**(-5) assuming b is positive. b**(31/6) Simplify (l**(-5)*l)/(l/(l*(l*l**(2/5)/l)/l)*l) assuming l is positive. l**(-28/5) Simplify (v*v**7)/(v*(v**(2/3)*v)/v)*(v/(v*v/(v/(v/(v**(-1/4)*v)*v))))/v*v**(-1/4) assuming v is positive. v**(23/6) Simplify (o/(o/(o**1*o)))**(-39)*(o/(o*o*o*o*o/(o*o*o**(1/2)/o*o))*o)**(2/5) assuming o is positive. o**(-391/5) Simplify b**(-2)*b**(2/13)*b*((b/b**(-5))/b)/b*b*((b**(-2)*b)/b)/b*b assuming b is positive. b**(28/13) Simplify u/u**(-4)*u**(-6)*(u**1)**49 assuming u is positive. u**48 Simplify (y/(y*y**(-2)))**(-5) assuming y is positive. y**(-10) Simplify y/(y*y**5*y*y*y)*y*y*y*y/(y*y**6)*(y*y/(y/(y/(y*y**(-2/15)))))/((y**(-3/2)*y)/y) assuming y is positive. y**(-251/30) Simplify (m*m/(m**(-2)*m)*m)**(-3/26)*m**(-2/5)*m*m**(-6) assuming m is positive. m**(-381/65) Simplify a**(-6/11)*a**2*(a**4*a)/(a/(a/(((a/(a/a**(-3/2)))/a)/a))) assuming a is positive. a**(219/22) Simplify (n/n**16)/n*n*n**23 assuming n is positive. n**8 Simplify (n**11/n*n*n)**(-6/31) assuming n is positive. n**(-72/31) Simplify (w/(w*w**(-1/6)))/(w**32*w) assuming w is positive. w**(-197/6) Simplify (((r*r/(r/(r**(7/3)*r*r))*r)/r)/r)**(-4/23) assuming r is positive. r**(-52/69) Simplify (f**(-1/10)*f**(-1/3)/f)**11 assuming f is positive. f**(-473/30) Simplify (w**(-3)*w)/w**0*w**(-2/3)*w**9 assuming w is positive. w**(19/3) Simplify (y/y**(-2/3)*y)/(y*y*y**(-2/7)/y*y)*y**(1/12)/((y**0*y)/y) assuming y is positive. y**(29/28) Simplify (b**(-3/4)*b**(2/9))/(b**(-4/7)/(b*b*b/(b/(b**(1/4)/b))*b)) assuming b is positive. b**(289/126) Simplify (q**(3/2))**(10/19)*(q*q/q**(-2/5))/(q**(4/3)*q) assuming q is positive. q**(244/285) Simplify p**4/p*p*(p/(p**(-1/4)*p))/p*((p**(2/5)/p)/p)**1 assuming p is positive. p**(33/20) Simplify (((u*u/(u/u**16)*u)/u)/u)**(-34) assuming u is positive. u**(-544) Simplify (d*d**(-12))/(d**37/d) assuming d is positive. d**(-47) Simplify (t**(-2)*(t/t**(-6))/t)/(t/(t/(t*t**(-2/5)*t)))**42 assuming t is positive. t**(-316/5) Simplify o/((((o/o**(-5))/o)/o*o)/o)*o**(-10)*o assuming o
{ "pile_set_name": "DM Mathematics" }
0 Suppose 5*l - 5*d - 15 = 0, 6*d - 25 = -3*l + d. Suppose -179 = 25*g - 529. Calculate the remainder when g is divided by l. 4 Let y(j) = 3 - 2*j - 3. Let c be y(-2). Suppose -c*h + h = -42. Calculate the remainder when 41 is divided by h. 13 Let l = 4 - -9. Calculate the remainder when l is divided by 5. 3 Suppose b + 4*d = 179, 4*b - 390 - 284 = -2*d. Calculate the remainder when b is divided by 28. 27 Suppose 0*d + d = -2*x + 24, 0 = -2*d + 2*x + 18. Let f(g) = 2 + 3 + 4*g + 1. Calculate the remainder when f(5) is divided by d. 12 Suppose 2*n = 7*n - 130. Let k = -904 - -979. What is the remainder when k is divided by n? 23 Suppose 9 = 3*n, 2 = -5*u + 3*u - 2*n. Let g = -4 - u. Let z = g + 13. What is the remainder when z is divided by 7? 6 Let b(g) = 8*g - 1 + 0 - 5 + g**2. What is the remainder when b(5) is divided by 20? 19 Let x(i) = -i**2 - 5*i + 4. Let n(t) = t. Let u(w) = -2*n(w) - x(w). Let h = -3 - -6. Calculate the remainder when 40 is divided by u(h). 12 Suppose -2*s + 3*i - 126 = -7*s, 0 = -2*s - i + 51. Suppose 0*w - 3*w = -30. Calculate the remainder when s is divided by w. 7 Suppose -4*n = -60 + 8. What is the remainder when 62 is divided by n? 10 Let u(o) = 4*o + 6. Let h(w) = 4*w + 5. Let y(a) = 5*h(a) - 4*u(a). Calculate the remainder when 13 is divided by y(1). 3 Let t = 27 + -18. Let h(q) = -6*q**2 - 2*q + 3. Let i be h(-3). Let d = -19 - i. Calculate the remainder when d is divided by t. 8 Let s(c) = 5*c - 1. Let p(i) = -2*i + 15. What is the remainder when s(6) is divided by p(0)? 14 Suppose 16 + 11 = 3*h. Suppose o - h = -0*o. Calculate the remainder when 34 is divided by o. 7 Suppose -2*m + 129 = -241. Suppose 3*t + 2*t = m. What is the remainder when t is divided by 13? 11 Let i(z) = 3*z - 4. Calculate the remainder when 84 is divided by i(7). 16 Suppose 14*i - 60 = 9*i. What is the remainder when i is divided by 5? 2 Let i(s) = s**3 - 7*s**2 - 12*s - 7. Calculate the remainder when i(9) is divided by 25. 22 Suppose 0 = 5*d - d - 24. Calculate the remainder when 8 is divided by d. 2 Let c = -2 - -3. Suppose -2*f + 1 = -c. Suppose 3*z - f = 5. Calculate the remainder when z is divided by 1. 0 Let p = 27 - 71. Let l = 103 + p. What is the remainder when l is divided by 20? 19 Let s = 55 - 30. Let o = -11 + s. What is the remainder when 1 + (-16)/4 + 44 is divided by o? 13 Let r = 0 + -3. What is the remainder when 13 is divided by 0 - (6/(-3) + r)? 3 Let q(y) = 19*y**3 + 2*y**2 - y. Let m be q(1). Suppose 0*a - 2*c - 8 = -2*a, -5*a - c + m = 0. Let z = 19 - a. Calculate the remainder when 27 is divided by z. 12 Suppose j = -5*v + 47, j = 5*v - 0*j - 43. Calculate the remainder when 33 is divided by v. 6 Let r(j) = -7*j + 8. Let z be r(6). Let f be 2*((-21)/2 + 2). Let k = f - z. What is the remainder when 32 is divided by k? 15 Let b(x) = 2*x**2 - 10*x + 2. Let t be b(5). Let r(j) = 3*j**3 - 3*j**2 + j - 1. Let f(w) = 4*w. What is the remainder when r(t) is divided by f(2)? 5 Let t be 1 - (0 - 2) - -35. Suppose -z + 38 = 5*n, 3*n - z - 8 = 10. Calculate the remainder when (-1)/(((-2)/t)/1) is divided by n. 5 Let u be 15/(-6)*-12 + -1. Let k = -12 + u. Calculate the remainder when 66 is divided by k. 15 Let n = -11 + 16. What is the remainder when 58 is divided by n? 3 Let k be 4*(0 + -1)/(-1). Suppose 38 + 18 = k*t. What is the remainder when t is divided by 5? 4 Suppose 12 = -2*c + 192. Suppose -3*h - 55 = 2*h. Let v = h + c. Calculate the remainder when v is divided by 27. 25 Let b(h) = 17*h - 2. Calculate the remainder when b(6) is divided by 26. 22 Let b = 4 - 2. Suppose -2*u + 3*u + b = 0. Calculate the remainder when (0/u)/(-2) - -2 is divided by 1. 0 Suppose -5*v = 3*s - 420, -s - s + 5*v + 255 = 0. Suppose -3*m = j - s, m - 86 = -m - 2*j. Suppose m = y + 12. What is the remainder when y is divided by 12? 10 Suppose -d - 4*d = 0. Suppose 4*w + 3 - 19 = d. Calculate the remainder when 9 is divided by w. 1 Suppose 4*k + 5*y = 169, y - 87 = -2*k + 2. Suppose 0 = 5*q - 38 - 82. What is the remainder when k is divided by q? 22 Let i = -16 + 65. Calculate the remainder when i is divided by 13. 10 Let j(i) = 4*i**2 + 4*i + 2. What is the remainder when 39 is divided by j(-2)? 9 Suppose -2*i + 1 + 3 = 0. Suppose 2*p + 3*p = 5*x - 35, i*x - 16 = 4*p. Let g(h) = h + 2. Calculate the remainder when 14 is divided by g(x). 6 Suppose -2*g - 10 = 4*d, g = 3*d - 0*d + 20. Suppose g = 2*f - 33. Calculate the remainder when f is divided by 11. 8 Let w be 2/4 + (-11)/(-2). Let z = 19 + w. Let g = -18 + z. Calculate the remainder when 12 is divided by g. 5 Let g = 4 + 5. Let v = -3 + g. Suppose 0 = 3*i + i - 16. Calculate the remainder when v is divided by i. 2 Let c(a) = 8*a. Let w be c(1). Calculate the remainder when w/(-36) + (-227)/(-9) is divided by 30/4*6/5. 7 Let b(v) = 3*v**2 + v. Let k be (-15)/(-10) + (-1)/(-2). Suppose -5*i + 4*i - 3 = -4*t, 10 = k*i. Calculate the remainder when b(-1) is divided by t. 0 Suppose 3*d = -75 - 33. Let n = -54 - d. Let c = -4 - n. Calculate the remainder when c is divided by 5. 4 Suppose -34 = -u - q - 11, 0 = -2*u + 3*q + 66. Calculate the remainder when 107 is divided by u. 26 What is the remainder when (-32)/(-10)*(-30)/(-4) is divided by 9? 6 Suppose -3*w - 2*w = 0. Suppose w = 3*f - 170 - 127. Let i = f + -70. Calculate the remainder when i is divided by 10. 9 Let b be 7 - 4 - (0 + 3). Suppose 0*n + 5*n - 50 = b. Calculate the remainder when n is divided by 4. 2 Let b = 4 - 1. Suppose 0 = -3*k, -3*c + 5*k + 183 = 2*k. Calculate the remainder when c is divided by (-6)/b*(-21)/2. 19 Calculate the remainder when 7 is divided by ((-2)/4*7)/(11/(-22)). 0 Let d = -45 - -80. Let j(g) = -2*g + 4. Calculate the remainder when d is divided by j(-4). 11 Suppose 0 = 4*n - 2*v - 62, -n - v + 19 = 2*v. What is the remainder when 62 is divided by n? 14 Suppose n - 2 = 2. Let o be -2 - (0 - 5) - -8. Let j = o + 2. Calculate the remainder when j is divided by n. 1 Let o(n) = -n**2 + 8*n + 7. Suppose -6*i = -5*i - 40. Calculate the remainder when i is divided by o(7). 12 Let w(j) be the second derivative of -j**4/12 - 2*j**3/3 + 3*j**2 + 4*j. Let v be w(-5). Calculate the remainder when (-74*(-2 + v))/2 is divided by 13. 11 Suppose 0 = 2*g - 61 - 1. Let h = 24 - 16. What is the remainder when g is divided by h? 7 Let c = 128 + -57. What is the remainder when c is divided by 24? 23 Let z(k) = 3*k**2 - k + 8. What is the remainder when z(-4) is divided by 31? 29 Let w be (-1 - -5)*(-6)/(-4). Let i = 17 - w. What is the remainder when i is divided by 6? 5 Suppose -3*u + 68 = -c, -7*u + 9*u = 2*c + 44. What is the remainder when 111 is divided by u? 19 What is the remainder when (-76)/(-19)*(-26)/(-8) is divided by (1/(-2))/((-1)/14)? 6 Calculate the remainder when 11 is divided by (-2)/(-15) - (-352)/60. 5 Suppose 14 = 2*g + 2*a, g + 4*g - a = 11. Suppose 3*h = 5*h + 30. What is the remainder when (9/h)/((-3)/15) is divided by g? 0 Suppose b - 6*b + 45 = 0. Suppose w = 4*w - 18. Calculate the remainder when b is divided by w. 3 Let t = -149 - -162. Let c(s) = -7*s - 1. Let w be c(-1). What is the remainder when 1/2 - (-141)/w is divided by t? 11 Let b = -1 + 5. Suppose 3*t + 14 = b*t. Calculate the remainder when t is divided by 5. 4 Let h = 305 - 182. What is the remainder when h is divided by 9? 6 Let o(y) = -4*y - 9. Let w be o(-6). Suppose -3*p + 30 = -3*h - 15, 5*h = -3*p + 45. Calculate the remainder when p is divided by 9/w - (-42)/5. 6 Let c(u) be the first derivative of -u**3/3 + 9*u**2/2 - 7*u + 2. Suppose -15 = -k - 2*k. Calculate the remainder when c(k) is divided by 5. 3 Suppose 2*w - 10 = 4. Suppose 4*o - 3*o - w = 0. What is the remainder when 13 is divided by o? 6 Suppose -5*f - 2*d - d + 4 = 0, 4*f + 2 = -5*d. Suppose -3*b = -f*b - 4. What is the remainder when ((-6)/9)/(b/(-210)) is divided by 9? 8 Suppose -23 = -i - 4*q, -25*i + 28*i - 5*q = 1. Let z = 45 + -19. What is the remainder when z is divided by i? 5 Let l(y) = -2*y + 22. Let s be l(9). Suppose -s*i + 7 = -9. Calculate the remainder when i is divided by 2. 0 Suppose 4*o + 2*h = 234, 5*h + 1 = -4. Suppose -2*f + 47 + 35 = 0. Let a = o - f. What is the remainder when a is divided by 10? 8 Let x(y) = y**3 - 2*y + 1. Let v(t)
{ "pile_set_name": "DM Mathematics" }
2:35 AM? 3:54 PM What is 591 minutes before 1:25 AM? 3:34 PM How many minutes are there between 10:23 AM and 7:11 PM? 528 How many minutes are there between 10:33 PM and 11:08 PM? 35 How many minutes are there between 4:34 PM and 4:23 AM? 709 How many minutes are there between 5:17 AM and 3:42 PM? 625 What is 424 minutes before 5:26 PM? 10:22 AM How many minutes are there between 3:33 PM and 9:49 PM? 376 What is 231 minutes before 6:13 PM? 2:22 PM What is 110 minutes after 6:49 AM? 8:39 AM How many minutes are there between 7:18 AM and 11:52 AM? 274 What is 110 minutes before 2:58 PM? 1:08 PM What is 568 minutes before 9:07 AM? 11:39 PM What is 697 minutes after 7:33 PM? 7:10 AM What is 130 minutes before 3:27 PM? 1:17 PM How many minutes are there between 11:14 PM and 6:14 AM? 420 How many minutes are there between 11:07 AM and 1:22 PM? 135 What is 176 minutes after 1:09 AM? 4:05 AM What is 627 minutes after 11:45 PM? 10:12 AM What is 595 minutes after 2:19 PM? 12:14 AM What is 191 minutes after 9:14 AM? 12:25 PM How many minutes are there between 1:15 AM and 4:39 AM? 204 What is 627 minutes before 2:48 PM? 4:21 AM What is 620 minutes after 10:34 AM? 8:54 PM What is 715 minutes before 1:20 AM? 1:25 PM What is 295 minutes before 11:15 AM? 6:20 AM What is 354 minutes after 3:27 AM? 9:21 AM How many minutes are there between 11:00 PM and 12:28 AM? 88 What is 543 minutes after 11:37 AM? 8:40 PM How many minutes are there between 6:48 AM and 8:05 AM? 77 How many minutes are there between 8:26 PM and 9:08 PM? 42 What is 144 minutes before 5:15 PM? 2:51 PM What is 44 minutes after 8:04 PM? 8:48 PM What is 359 minutes before 2:28 PM? 8:29 AM How many minutes are there between 5:18 PM and 7:46 PM? 148 How many minutes are there between 9:45 AM and 4:43 PM? 418 What is 528 minutes before 11:49 AM? 3:01 AM How many minutes are there between 8:45 PM and 11:20 PM? 155 What is 185 minutes after 11:47 AM? 2:52 PM How many minutes are there between 1:48 AM and 6:12 AM? 264 What is 485 minutes before 7:41 AM? 11:36 PM What is 33 minutes after 2:00 PM? 2:33 PM What is 359 minutes after 1:16 PM? 7:15 PM What is 679 minutes after 5:15 PM? 4:34 AM How many minutes are there between 11:38 AM and 4:36 PM? 298 What is 173 minutes before 2:01 AM? 11:08 PM How many minutes are there between 6:19 PM and 8:52 PM? 153 What is 313 minutes before 8:17 AM? 3:04 AM How many minutes are there between 4:18 AM and 10:56 AM? 398 What is 264 minutes before 1:10 AM? 8:46 PM What is 341 minutes after 8:27 AM? 2:08 PM What is 197 minutes before 3:51 AM? 12:34 AM What is 699 minutes after 9:55 AM? 9:34 PM What is 283 minutes after 6:44 PM? 11:27 PM What is 194 minutes before 12:47 PM? 9:33 AM How many minutes are there between 11:32 PM and 9:49 AM? 617 How many minutes are there between 11:13 PM and 10:46 AM? 693 How many minutes are there between 11:13 PM and 6:41 AM? 448 What is 67 minutes before 11:41 AM? 10:34 AM How many minutes are there between 6:09 AM and 3:15 PM? 546 What is 611 minutes after 12:56 PM? 11:07 PM How many minutes are there between 6:34 PM and 7:16 PM? 42 How many minutes are there between 1:37 AM and 8:23 AM? 406 What is 69 minutes before 3:32 PM? 2:23 PM How many minutes are there between 5:28 AM and 8:00 AM? 152 How many minutes are there between 5:37 PM and 6:21 PM? 44 How many minutes are there between 7:26 AM and 2:04 PM? 398 What is 367 minutes after 9:42 AM? 3:49 PM How many minutes are there between 12:40 PM and 5:40 PM? 300 How many minutes are there between 9:33 PM and 6:49 AM? 556 What is 255 minutes before 3:51 AM? 11:36 PM What is 341 minutes after 7:45 PM? 1:26 AM What is 675 minutes before 5:31 PM? 6:16 AM How many minutes are there between 11:08 PM and 5:36 AM? 388 What is 585 minutes after 8:13 AM? 5:58 PM What is 665 minutes before 3:07 PM? 4:02 AM How many minutes are there between 11:06 AM and 4:28 PM? 322 What is 265 minutes after 5:52 AM? 10:17 AM How many minutes are there between 7:46 PM and 4:59 AM? 553 How many minutes are there between 6:58 AM and 7:18 AM? 20 What is 166 minutes after 4:35 AM? 7:21 AM How many minutes are there between 6:50 AM and 11:43 AM? 293 What is 636 minutes after 4:50 PM? 3:26 AM How many minutes are there between 11:23 AM and 4:48 PM? 325 What is 647 minutes before 2:09 PM? 3:22 AM What is 103 minutes before 7:36 PM? 5:53 PM How many minutes are there between 7:14 PM and 1:39 AM? 385 What is 715 minutes after 4:35 PM? 4:30 AM How many minutes are there between 6:34 AM and 1:15 PM? 401 What is 414 minutes before 12:09 AM? 5:15 PM What is 298 minutes before 12:20 AM? 7:22 PM How many minutes are there between 2:15 AM and 3:14 AM? 59 What is 423 minutes after 6:44 PM? 1:47 AM How many minutes are there between 3:22 AM and 4:11 AM? 49 What is 185 minutes after 4:20 AM? 7:25 AM How many minutes are there between 5:51 PM and 8:46 PM? 175 What is 705 minutes after 8:30 PM? 8:15 AM What is 408 minutes after 9:21 PM? 4:09 AM What is 627 minutes after 6:59 AM? 5:26 PM How many minutes are there between 9:37 AM and 4:05 PM? 388 How many minutes are there between 3:58 PM and 5:49 PM? 111 What is 128 minutes before 1:47 PM? 11:39 AM How many minutes are there between 10:33 PM and 4:28 AM? 355 How many minutes are there between 9:06 AM and 12:37 PM? 211 What is 82 minutes after 4:38 AM? 6:00 AM How many minutes are there between 6:20 PM and 12:20 AM? 360 What is 249 minutes before 7:54 PM? 3:45 PM How many minutes are there between 3:21 PM and 4:37 PM? 76 How many minutes are there between 8:17 PM and 4:25 AM? 488 How many minutes are there between 11:25 PM and 4:48 AM? 323 What is 42 minutes before 4:14 AM? 3:32 AM How many minutes are there between 12:16 AM and 7:35 AM? 439 What is 543 minutes before 5:12 PM? 8:09 AM How many minutes are there between 2:11 PM and 7:39 PM? 328 How many minutes are there between 1:59 PM and 4:24 PM? 145 How many minutes are there between 9:20 AM and 3:33 PM? 373 What is 703 minutes before 1:41 AM? 1:58 PM How many minutes are there between 9:55 AM and 4:21 PM? 386 What is 589 minutes after 12:38 AM? 10:27 AM What is 710 minutes before 2:27 AM? 2:37 PM How many minutes are there between 10:31 AM and 7:49 PM? 558 What is 525 minutes before 11:40 PM? 2:55 PM What is 33 minutes before 1:57 AM? 1:24 AM What is 620 minutes after 2:58 PM? 1:18 AM How many minutes are there between 2:48 AM and 4:55 AM? 127 What is 682 minutes before 1:53 AM? 2:31 PM How many minutes are there between 1:18 AM and 2:47 AM? 89 What is 2 minutes after 11:28 AM? 11:30 AM How many minutes are there between 9:50 PM and 3:12 AM? 322 What is 266 minutes after 3:54 PM? 8:20 PM How many minutes are there between 7:04 AM and 2:58 PM? 474 How many minutes are there between 5:38 AM and 7:00 AM? 82 How many minutes are there between 4:39 AM and 10:52 AM? 373 What is 89 minutes after 11:51 AM? 1:20 PM How many minutes are there between 9:22 PM and 9:01 AM? 699 How many minutes are there between 12:36 AM and 8:13 AM? 457 What is 27 minutes before 11:27 AM? 11:00 AM What is 60 minutes before 8:34 PM? 7:34 PM How many minutes are there between 3:35 AM and 6:00 AM? 145 How many minutes are there between 3:13 AM and 11:07 AM? 474 How many minutes are there between 1:47 PM and 9:40 PM? 473 What is 394 minutes before 1:05 PM? 6:31 AM How many minutes are there between 5:46 PM and 6:40 PM? 54 What is 663 minutes after 5:38 AM? 4:41 PM How many minutes are there between 12:26 AM and 2:21 AM? 115 How many minutes are there between 10:38 PM and 11:19 PM? 41 How many minutes are there between 11:54 AM and 10:22 PM? 628 How many minutes are there between 8:46 AM and 10:41 AM? 115 What is 697 minutes before 11:52 AM? 12:15 AM How many minutes are there between 9:52 AM and 2:55 PM? 303 What is 592 minutes before 2:42 AM? 4:50 PM How many minutes are there between 11:08 PM and 12:44 AM? 96 What is 685 minutes before 6:00 PM? 6:35 AM What is 586 minutes after 1:48 AM? 11:34 AM How many minutes are there between 5:00 PM and 2:09 AM? 549 How many minutes are there between 11:39 PM and 9:35 AM? 596 What is 692 minutes after 12:24 AM? 11:56 AM How many minutes are there between 12:26 AM and 1:42 AM? 76 What is 115 minutes after 10:02 PM? 11:57
{ "pile_set_name": "DM Mathematics" }
re the prime factors of v(-5)? 11 Let j(q) = 2*q**2 + 3*q + 2. Let y be j(-3). Let n = -8 + y. List the prime factors of 14*(n - 2) + 1. 3, 5 Let d(g) = -g**3 + 6*g**2 - 7*g + 6. Let q be d(5). Let w = q - -6. Suppose 5*b = -w*s - s + 1, 0 = -5*b + 5*s + 25. List the prime factors of b. 2 Suppose 2*x - 2*r + 146 = 4*x, 3*x - 2*r = 244. List the prime factors of x. 2, 3, 13 Let m = -22 - -34. Suppose -m = 2*k - 6*k. Suppose 0*j - k*a + 10 = -j, 0 = -2*j - 2*a + 20. List the prime factors of j. 5 Let s(g) = 7*g**3 - 2*g - 1. What are the prime factors of s(2)? 3, 17 Let n(b) = b + 1. Suppose -3*l = 4*v - 1 - 1, -5*l = 4*v - 6. Let d(c) = -c - 4. Let i(z) = v*n(z) + d(z). List the prime factors of i(-4). 3 Let y(z) = -z**3 - 5*z**2 + 7*z - 1. Let a be y(-6). Suppose 4*j + 82 = 30. Let m = a - j. What are the prime factors of m? 2, 3 Let h(x) = -x**2 + 21*x + 3. What are the prime factors of h(11)? 113 Let a be (0 - (-3 + 2))*5. Suppose -5*j + 40 = a*m, -3*m + 20 + 8 = 4*j. What are the prime factors of m? 2 Suppose -5*x + 275 = -0*x. What are the prime factors of x? 5, 11 Suppose d = 4*f - 0*f - 705, 4*f - 707 = 3*d. What are the prime factors of f? 2, 11 Suppose 47 = -2*q + b + 208, -2*q = 4*b - 156. What are the prime factors of q? 2, 5 Let o = -12 + 3. Let p(g) be the second derivative of -g**3/3 - 2*g**2 - g. List the prime factors of p(o). 2, 7 Let g(j) = 3*j**2 + 6. Let i(o) = -2*o**2 - o - 5. Let t = -7 + 10. Let z(b) = t*g(b) + 4*i(b). List the prime factors of z(6). 2, 5 List the prime factors of 4/(-18) - ((-1127)/9 - -1). 2, 31 Let r be 1/1 + (-18)/2. Let s be (r/(-20))/((-2)/(-10)). What are the prime factors of s - (0 - (3 + 1))? 2, 3 Suppose z = 4*t + 29, 5*z + 0 - 17 = 4*t. Let x(q) = -q**2 + 6*q - 6. Let n be x(5). List the prime factors of ((-5)/(-10))/(n/t). 2 Suppose -4*w = w - 20. Suppose 9 + w = r. List the prime factors of r. 13 Let d(s) = 6*s - 1. List the prime factors of d(8). 47 Let h be 4/14 - (-2)/(-7). Suppose 5*m - 45 = -h*m. What are the prime factors of m? 3 Suppose 0 = 127*k - 130*k + 759. List the prime factors of k. 11, 23 List the prime factors of -3 - -3*102/9. 31 Suppose -139 - 5 = -x - 2*z, -x + 2*z + 140 = 0. What are the prime factors of x? 2, 71 Suppose 3*z + 33 = -4*y, 5 + 7 = -4*z. What are the prime factors of ((-2)/y - 3)*-3? 2 Let v(i) = 2*i - 5. Let r be v(4). Let u = 7 - r. List the prime factors of u. 2 Let x(o) = o**2 + o - 3. Let a be x(2). Suppose 5*d = 20, -d + a*d + 70 = 2*v. What are the prime factors of v? 3, 13 Let s = 13 - 8. Suppose 5*r + 16 = 4*z - 2*z, 5*z + 5*r = 75. Suppose z = l + s. What are the prime factors of l? 2 Let m = 4 + -2. Suppose 7 - 1 = m*k. List the prime factors of k. 3 Suppose -3*r - 5*g = 2*r - 130, 0 = -4*g + 4. What are the prime factors of r? 5 Let j(t) = t**3 - 9*t**2 + 3*t. Let n be j(6). What are the prime factors of (n/25)/((-6)/20)? 2, 3 List the prime factors of (-8)/(-6)*(122 + (-12)/(-3)). 2, 3, 7 Let p = 16 + 7. List the prime factors of p. 23 List the prime factors of 1*(-4 - -11)*16. 2, 7 Let q(t) = -t - 3. Let f be q(-3). Suppose f = -4*k - 0*k + 72. What are the prime factors of k? 2, 3 List the prime factors of (2/4)/(802/(-804) + 1). 3, 67 Let x = -7 - -10. Suppose -4*i - x*j = -4, 3*i + 6*j = j + 14. List the prime factors of 3/12*-10*i. 5 Suppose 0 = -3*n - 2*n. Suppose -4*f - z + 14 = 0, -f + 3*z + 0 + 10 = n. What are the prime factors of f? 2 Let a = -58 + 78. What are the prime factors of a? 2, 5 Suppose -8*y + 7*y + 31 = 0. What are the prime factors of y? 31 What are the prime factors of (-1)/6 - 0 - (-10571)/66? 2, 5 What are the prime factors of ((-6)/4)/(-1) + (-908)/(-8)? 5, 23 Let k(l) = -l**2 - 12*l - 8. Let t be (2*3)/(4 + -5). List the prime factors of k(t). 2, 7 Suppose -5*k + 212 = 3*c, -3*c + k + 196 = 2*k. List the prime factors of c. 2 Suppose -5*r + 5 = -4*r. Suppose -r*j = -37 - 13. List the prime factors of j. 2, 5 Suppose d - 6 = -1, 3*n + 3*d - 123 = 0. Suppose 5*q - 3*f - f = 81, 2*q + 2*f = n. List the prime factors of q. 17 Let b(l) = -l - 34. Let w be b(0). Let u = w - -52. What are the prime factors of u? 2, 3 Let q be (-17)/6 - (-2)/(-12). List the prime factors of (-4)/q*18/4. 2, 3 Let c = -10 + 19. Suppose -3*u + c = 3. Suppose 0 = u*g - 3*g + 3*p + 21, 43 = 3*g - 4*p. What are the prime factors of g? 3 Let m(x) = -2*x + 4. Suppose -4*v + 3 = -3*v. Let q be m(v). What are the prime factors of (-192)/(-9) + q/(-3)? 2, 11 Suppose 5 = 4*v + 21. Let w = -11 + 18. Let b = w + v. What are the prime factors of b? 3 Let d(m) = m**3 + 4 + 3*m + 5*m**2 - 3*m - 3*m. Let q be d(-4). Suppose 5*i = 3 + q. What are the prime factors of i? 7 Suppose 0*a - 5*u = -3*a - 10, a = 2*u - 5. Suppose -s - 3*o = 13, a*s + 0*s = 4*o + 30. Let z = 5 + s. What are the prime factors of z? 7 List the prime factors of -26*(-2)/((-4)/(-3)). 3, 13 Suppose -5 = -3*w + 7. What are the prime factors of 2/(1/(22/w))? 11 Let s = 26 - 39. Let k(u) = u**3 + 14*u**2 + 13*u + 3. What are the prime factors of k(s)? 3 Suppose 3*u = 5 - 14. List the prime factors of 38 - ((-12)/u + -6). 2, 5 Let v = 18 + -11. Let x(h) be the third derivative of -h**6/120 + h**5/10 + 3*h**4/8 - h**3/6 - 6*h**2. List the prime factors of x(v). 13 Suppose -4 - 1 = 5*u, -287 = -5*b + 2*u. List the prime factors of b. 3, 19 Suppose -2*a = -4*a - 2. Let j be (-3)/a + -2 + 3. Suppose v - j + 0 = 0. List the prime factors of v. 2 Let q(d) = d**2 + d + 2. Let j = 12 - 8. Let h be q(j). Suppose -2*b - 3*b - 2*n + 24 = 0, -5*n = 3*b - h. List the prime factors of b. 2 Let j(m) = m + 2. Let d be j(0). Suppose 3*f = -0*f + d*u + 15, 0 = -2*u - 6. What are the prime factors of 1*(-33)/f*-1? 11 Let m be 33/7 + 2/7. Suppose 0 = -m*s + 10, -8 = -2*r - 0*r + 2*s. List the prime factors of r. 2, 3 Let p(a) = -3*a + 6. Let d be p(4). What are the prime factors of (26/d)/(4/(-12))? 13 Suppose -4*t + 25 = t, -2*v + t - 1 = 0. Suppose 0 = -v*c - 2 - 2. What are the prime factors of 15*((1 - -2) + c)? 3, 5 Suppose -4*f = -m + 17, 0 = -m - 3*f - 1 - 3. Suppose 16 - 96 = -4*c - 2*v, 5*c - 130 = m*v. List the prime factors of c. 2, 11 Let r(v) = 8*v**2 + 3*v + 5. Let t(m) = -m - 1 + 0*m + 0*m**2 - m**2. Let a(y) = r(y) + 6*t(y). List the prime factors of a(3). 2 Suppose 0 = -20*i + 16*i + 308. List the prime factors of i. 7, 11 Suppose -19*j + 14*j = -55. List the prime factors of j. 11 Let s(z) = -18*z**3 + 7*z**2 + 6*z - 7. Let w(c) = 19*c**3 - 8*c**2 - 7*c + 8. Let u(j) = -7*s(j) - 6*w(j). What are the prime factors of u(1)? 2, 3 Let p(c) = 3 + 106*c**2 + 3*c + 2*c - 105*c**2. What are the prime factors of p(-6)? 3 Suppose -4*r + 2 = -18. Suppose 4*y - 25 = r*l + 33, 0 = 2*y - 3*l - 30. What are the prime factors of y? 2, 3 Let n(w) = -165*w + 2. What are the prime factors of n(-2)? 2, 83 Let x(q) = 63*q - 1. Let a be x(1). Let i be (-2)/(1/82*4). Let d = i + a. What are the prime factors of d? 3, 7 List the prime factors of 4686/39 + (-4)/(-52)*-2. 2, 3, 5 Suppose s - 3*s + 34 = 0. What are the prime factors of (-2)/1 + s - -3? 2, 3 Let d(h) = -h**2 + 12*h - 1. What are the prime factors of d(10)? 19 Suppose -8*y + 837 = 3*t - 6*y, 0 = -y. What are the prime factors of t? 3, 31 Suppose 7 = 4*q - 1. Suppose -q*d = -7 - 11. What are the prime factors of d? 3 Suppose 42 = -4*o - 22. List the prime factors of 60/6*o/(-10). 2 Let o(x) = x - 7. Let p be o(5). Let l(v) = v**3 - 3 - 2*v**3 - v**2 + 5. List the prime factors of l(p). 2, 3 Let m be (-58)/(-5) - (-2)/5. Let c be (2/(-8))/((-3)/m). Suppose c - 51 = -5*g. List the prime factors of g. 2, 5 Let m be 1 + (-2 - 27) + 1. Let f be (-1329)/m - (-4)/(-18). Suppose -k = l - 11 - 2, 4*k = -l + f. List the prime factors of k. 2, 3 Suppose 2*m = 3*m - 2. Let i be m/(-4)*(2 + -2). Suppose -2*u - u + 33 = i. List the prime factors of u. 11 Let g be (-72)/27*(-171)/2. Let j be g/(-44) + 4/22. What are the prime factors of (-3)/(((-45)/(-24))/j)? 2 Let u = -31 + 19. List the prime factors of 123/5 - u/(-20). 2, 3 Suppose 4*m - 6 - 14 = 0. Suppose 7 = 2*g - m. Suppose -g = 3*j - 6*j. What are the prime factors of j? 2 Let k(a) = a**2 - 8*a - 10. List the prime factors of k(-7). 5, 19 Let c be ((-5)/15)/((-1)/15). Suppose -2*l - c*r + 10 = -0*l, 3 = -3*l -
{ "pile_set_name": "DM Mathematics" }
+ 9/2*q**2 - 11/10*q**3 = 0. Calculate q. 2, 3 Let j(q) be the first derivative of -154 + 0*q**2 + 0*q + q**4 + 8/3*q**3. Factor j(r). 4*r**2*(r + 2) Let u be (-7212)/(-27) - ((-3)/(-27) - 0). Factor a**2 + 291 + 26*a - u + a**2. 2*(a + 1)*(a + 12) Factor 678 - 450*k + 5*k**2 - 102 + 1559 - 237 + 227. 5*(k - 85)*(k - 5) Suppose -5 = -4*a + 3. Solve 4*g - 5*g**2 + 17*g + 92 - 70 + 4*g**a = 0. -1, 22 Suppose 17*a**4 + 460*a + 12*a**3 - 231*a**2 - 22*a**4 - 555*a**2 - 54*a**2 + 123*a**3 + 1440 = 0. What is a? -1, 2, 8, 18 Let z be 42/1092 - (-3)/(-78). Let f(c) be the second derivative of 1/33*c**4 + 0*c**3 + c + 0 - 1/165*c**6 + z*c**2 + 1/110*c**5. Let f(u) = 0. Calculate u. -1, 0, 2 Find o such that 159/5*o - 158/5 - 1/5*o**2 = 0. 1, 158 Let d(s) be the first derivative of s**5/5 - s**4/4 - 85*s**3/3 - 275*s**2/2 + 934. Determine x, given that d(x) = 0. -5, 0, 11 Let a(q) be the first derivative of -q**5/30 + 23*q**4/24 - 58*q**3/9 - 35*q**2/3 + 10132. Factor a(b). -b*(b - 14)*(b - 10)*(b + 1)/6 Let g be 1172434/1163310 + (-2 - (14/(-15) + -1)). Let -2/17*i**4 - 18/17 + 20/17*i**2 - 16/17*i**3 + g*i = 0. Calculate i. -9, -1, 1 Let m(g) = 8*g**2 + 658*g - 18802. Suppose -5*u - 6*r + r = -30, -16 = -3*u - r. Let z(l) = 3*l**2 + 219*l - 6267. Let n(h) = u*m(h) - 14*z(h). Factor n(y). -2*(y - 56)**2 Suppose 30 + 66 = -8*c. Let h(p) = p**3 + 13*p**2 + 12*p + 9. Let v be h(c). Find s such that -24*s**2 + 19*s**2 + 6 + 10*s + v = 0. -1, 3 Suppose 0 = 5*v + 2*l + 845 - 5109, -4268 = -5*v - 4*l. Let b = -852 + v. Suppose 0*d + 1/6*d**2 + 3/4*d**3 + b + 1/3*d**4 = 0. Calculate d. -2, -1/4, 0 Let l(n) be the second derivative of 0 + 25/6*n**3 + 42*n + 12*n**2 + 1/12*n**4. Factor l(y). (y + 1)*(y + 24) Let d(v) be the third derivative of -v**9/1680 - v**8/224 - 5*v**7/504 - 5*v**4/12 + 2*v**3/3 - 99*v**2. Let y(b) be the second derivative of d(b). Factor y(x). -x**2*(3*x + 5)**2 Let x(p) be the third derivative of -3*p**5/20 + 67*p**4/8 - 95*p**3 - 49*p**2 - 7*p. Factor x(z). -3*(z - 19)*(3*z - 10) Let g(d) be the third derivative of d**6/2160 - 11*d**5/360 + 7*d**4/48 + 29*d**3/2 - 71*d**2. Let a(y) be the first derivative of g(y). Factor a(s). (s - 21)*(s - 1)/6 Let g(z) be the third derivative of -z**5/60 - 1403*z**4/96 + 117*z**3/8 + 3589*z**2. Find q, given that g(q) = 0. -351, 1/4 Find b, given that -8448*b**4 - 3772 + 8450*b**4 - 360*b**2 + 4*b**3 - 3024*b - 3140 = 0. -6, 16 Let i be 13*(4224/(-286) + 15). Let p(b) be the second derivative of 0 + 1/3*b**2 + 23*b + 1/72*b**4 + 5/36*b**i. Factor p(w). (w + 1)*(w + 4)/6 Let s be -2*82/(-684) - (-586)/(-2637). Let o(c) be the first derivative of 12 + 0*c**2 + 0*c**5 + 0*c**3 - s*c**6 + 0*c**4 + 0*c. Factor o(u). -2*u**5/19 Let o(r) be the first derivative of r**6/10 + 153*r**5/20 + 156*r**4 - 338*r**3 - 21*r - 183. Let k(v) be the first derivative of o(v). Factor k(b). 3*b*(b - 1)*(b + 26)**2 Let b(k) = 120*k + 124. Let u be b(-1). Let w(g) be the first derivative of 1/20*g**5 + 6 - 3/8*g**2 + 3/16*g**u + g - 5/12*g**3. Suppose w(p) = 0. What is p? -4, -1, 1 Let z(v) = -24*v**2 - 828*v + 28. Let s(k) = -19*k**2 - 662*k + 22. Let c(p) = 14*s(p) - 11*z(p). Factor c(m). -2*m*(m + 80) Let u = 176 + -5. Factor 32*s**2 + 192 - 3*s**3 + u + 37*s**2 + 13*s - 442*s. -3*(s - 11)**2*(s - 1) Let l(p) = 123*p**4 - 33*p**3 + 75*p**2 + 15*p - 72. Let n(y) = -7*y**4 + 2*y**3 + y**2 - y - 1. Let k(j) = -l(j) - 18*n(j). Suppose k(d) = 0. What is d? -5, -1, 1, 6 Let a(z) be the second derivative of -z**7/210 - 7*z**6/120 - z**5/10 - 58*z**2 + 5*z - 2. Let w(y) be the first derivative of a(y). Factor w(f). -f**2*(f + 1)*(f + 6) Factor -a**2 + a**2 - 3 - 2*a**2 - 201*a + 195*a - a**2. -3*(a + 1)**2 Let k(j) be the first derivative of 64*j**6/21 + 656*j**5/35 + 20*j**4 - 100*j**3/21 - 74*j**2/7 - 16*j/7 + 3038. Solve k(n) = 0 for n. -4, -1, -1/2, -1/8, 1/2 Let f = 212182/371343 + 2/53049. Let a be 3/(-7)*(-12)/9. Determine l, given that -4/7 + f*l**2 + 4/7*l**3 - a*l = 0. -1, 1 Let t be (-15)/((-15)/19) + -17. Suppose 2/9*z**t - 2/9*z + 0 = 0. Calculate z. 0, 1 Let z(a) be the third derivative of 4*a + 1/150*a**5 + 0 + 0*a**3 - a**2 + 7/60*a**4. Factor z(p). 2*p*(p + 7)/5 Let u(i) be the second derivative of -13*i**7/105 - 28*i**6/75 + 7*i**5/10 + 11*i**4/3 + 68*i**3/15 + 8*i**2/5 + 746*i. Determine l, given that u(l) = 0. -2, -1, -2/13, 2 Let k(q) = -3*q**2 - 305*q + 19995. Let n be k(-147). Factor -1/3*x**5 - 2/3*x**4 + 0 + 4*x**2 - 12*x + 11/3*x**n. -x*(x - 2)**2*(x + 3)**2/3 Let d(w) be the second derivative of -5*w**7/42 - 40*w**6 + 5230*w. Find t, given that d(t) = 0. -240, 0 Let j be 3666/(-273) + 12*4/3. Solve j + 2*i**2 + 30/7*i + 2/7*i**3 = 0. -3, -1 Determine n, given that 9/5 + 3/5*n**2 + 3*n - 3/5*n**3 = 0. -1, 3 Let v(s) be the third derivative of 261*s**5/140 - 521*s**4/56 - s**3/7 - 8*s**2 - 645*s + 1. Factor v(j). 3*(j - 2)*(261*j + 1)/7 Let b(i) be the third derivative of i**6/24 - 95*i**5/12 + 460*i**4 + 1920*i**3 - 2*i**2 - 625*i + 2. What is f in b(f) = 0? -1, 48 Let p(x) = -5*x**3 + 5*x**2 + 4005*x - 46240. Let r(t) = -5*t**3 + 4*t**2 + 4007*t - 46240. Let s(v) = -6*p(v) + 5*r(v). Determine w, given that s(w) = 0. -32, 17 Let g be (-9 + (4 - 1))/(10 - -2 - 16). Solve 24*b + 45/2 + g*b**2 = 0 for b. -15, -1 Let b = -3454 - -3457. Let s(f) be the second derivative of 6*f + 2/5*f**5 + 20/3*f**3 + b*f**4 + 0 + 6*f**2. Find r, given that s(r) = 0. -3, -1, -1/2 Let t(u) be the third derivative of -u**7/42 - u**6/8 + 3*u**5/4 - 25*u**4/24 - 3*u**2 - 448*u + 2. Determine l so that t(l) = 0. -5, 0, 1 Let x(i) = -96*i + 289. Let r be x(3). Let y(b) be the first derivative of 2/13*b**2 - r - 6/13*b + 2/39*b**3. Factor y(j). 2*(j - 1)*(j + 3)/13 Let q be (12424/130)/(3 - (-48)/(-15)). Let k = q + 478. Let 2/13*b**3 + 0 + 0*b**2 - k*b = 0. What is b? -1, 0, 1 Let b(a) = -a**2 + 11*a - 7. Let l = -380 - -390. Let y be b(l). Let -2*q**5 + 0 - 26/9*q**y - 4/9*q**2 - 40/9*q**4 + 0*q = 0. Calculate q. -1, -2/9, 0 Let g(m) = m. Let j be g(4). Let s = -6969 + 6969. Factor 7*d**2 - 2*d**3 + d**3 + d**5 + s*d**3 + 4*d**4 - j - 7*d**4. (d - 2)**2*(d - 1)*(d + 1)**2 Let u(g) be the first derivative of -2*g**3 + 39*g**2/2 - 6*g + 72. Let s(p) = -p**2 + p - 2. Let v(f) = -3*s(f) + u(f). Determine l so that v(l) = 0. 0, 12 Suppose -2/7*v**2 - 1158242/7 - 3044/7*v = 0. What is v? -761 Suppose -3 + 0*u**3 - 5/4*u - 1/8*u**4 + 15/8*u**2 = 0. What is u? -4, -1, 2, 3 Let p = 2063 - 2063. Let i(w) be the third derivative of 3/8*w**4 - w**2 + 1/40*w**6 + 0*w - 1/5*w**5 + p*w**3 + 0. Factor i(f). 3*f*(f - 3)*(f - 1) Let j(l) be the second derivative of -3*l**5/20 + 71*l**4/2 - 281*l**3/2 + 210*l**2 - 280*l. Factor j(y). -3*(y - 140)*(y - 1)**2 Let n(r) be the third derivative of r**8/2184 - 2*r**7/455 + 11*r**5/195 + 5*r**4/52 + 541*r**2 + 4*r + 2. Let n(k) = 0. What is k? -1, 0, 3, 5 Let m(c) be the third derivative of c**7/1365 + c**6/780 - c**5/390 - c**4/156 + 3*c**2 - 55. Find j such that m(j) = 0. -1, 0, 1 Find n such that 0*n**2 + 0 + 1/3*n**5 - 4/3*n**3 + 0*n - n**4 = 0. -1, 0, 4 Let t(g) be the third derivative of g**6/80 + 63*g**5/5 + 62997*g**4/16 - 64009*g**3/2 - 3612*g**2 - g. Let t(v) = 0. What is v? -253, 2 Suppose 705*z**3 + 885*z**3 - 1580*z**3 - 5*z**4 + 15*z**2 = 0. Calculate z. -1, 0, 3 Let b = -1444 + 148727/103. Let u = 377/721 - b. Factor u*d - 8/7 - 4/7*d**3 + 8/7*d**2. -4*(d - 2)*(d - 1)*(d + 1)/7 Solve 14/3*x**2 + 56/3 - 200/3*x = 0 for x. 2/7, 14 Let g = 4410379/70 + -63004. Let x = g - 32/35. Factor -3/4*s**5 + s**4 + 1/4*s**3 + 0*s + 0 - x*s**2. -s**2*(s - 1)**2*(3*s + 2)/4 Let v(g) be the third derivative of 0 + 1/90*g**5 - 11/36*g**4 + 10/9*g**3 + 0*g + 63*g**2. Let v(q) = 0. What is q? 1, 10 Let w(o) be the second derivative of -5*o**7/42 + o**6/6 + 3*o**5/2 - 201*o - 2. Solve w(i) = 0 for i. -2, 0, 3 Let l(z) be the second derivative of 40 + 2*z + 1/72*z**4 - 1/3*z**2 + 1/120*z**5 - 1/9*z**3. Determine q so that l(q) = 0. -2, -1, 2 Factor -8940*j**2 - 30*j**4 + 49*j**4 + 6924*j**2 - 10368*j - 21*j**4 + 73*j**3 + 63*j**3. -2*j*(j - 36)**2*(j + 4) Let n = -2/71663 + 71677/501641. Factor 1/7*p**3 + 6/7*p**2 + 0*p - n*p**4 + 0. -p**2*(p - 3)*(p + 2)/7 Let o = 11382 + -11382. Let w(g) be the second deriv
{ "pile_set_name": "DM Mathematics" }
(-36))/((-2)/(-56)). Which is bigger: 171 or g? 171 Let l = 72 + -71. Let o be 7/(147/(-24)) - (-1 - l). Is -1 at least o? False Suppose 6*n - 5*n + 5 = 0. Which is bigger: n or -4? -4 Suppose 0 = 2*b + 38 - 44. Which is smaller: 4 or b? b Suppose -r + 4 = 4*v - 0, -4*v = 5*r - 20. Suppose v = 3*x - 0*x + 3. Let p = 78 - 781/10. Is x smaller than p? True Let m be 0*((-10)/(-2))/5 - 3. Let s(k) = k**3 - k - 1. Let o be s(2). Suppose o*y + 7 + 8 = 0. Are y and m nonequal? False Suppose -3*n = -0*n + 45. Let a = 36 + n. Which is bigger: 19 or a? a Let k(u) = -u - 4. Let s be k(5). Let c be 1/1*2/s. Suppose -a - 2 = 0, 2*h + 5*a - 10*a - 12 = 0. Which is bigger: c or h? h Let g be -6*-9*1/(-126). Does g = -17? False Let g be 4*5/(-15) + 40/(-6). Let k be 1 - 0*(-1)/1. Let w(p) = -8*p**2 - p. Let n be w(k). Which is smaller: n or g? n Let o = 25 - 16. Suppose 0 = -o*v + 4*v. Let r be (-3 - (-105)/18) + -3. Is v less than r? False Let p = -11 + -3. Let z = -13.8 - p. Let a = -9.8 - z. Which is greater: -0.1 or a? -0.1 Let c be 5 - ((-86)/(-3569))/((-4)/(-846)). Is 0 at least as big as c? True Let a be -1 - (2/161 + -1). Suppose 0 = -413*v + 394*v. Which is smaller: v or a? a Suppose n - 2 = -2*v - 0*n, -4 = n. Suppose v*g - 2*y + 10 = 6*g, 20 = -5*y. Suppose -g*j + 24 = -2*j. Is 6 > j? False Let d be 13/(26/12)*2/4. Let p(z) = 2*z - 9. Let r be p(d). Are -8 and r equal? False Let w = -8 - -11. Suppose -w*l - 6 + 3 = 0. Let c be (-1)/(1 - 1 - l). Which is bigger: 4 or c? 4 Suppose 3*g + 3*o - 51 = 0, -8*o = -3*o + 20. Suppose 0 = 6*r - 3 - g. Suppose -r*p = -p - 6. Which is smaller: -0.06 or p? -0.06 Let g be (-48)/108*(-154)/(-8). Let x = -23/3 - g. Does 2 = x? False Let q = -64 - -64. Let k = 23.1 + -30.1. Which is bigger: k or q? q Let v = 551.311 + -551. Which is greater: v or -0.1? v Let u = 280 + -232. Is -0.7 equal to u? False Suppose -2*h + 3*h - 2 = 0. Suppose 2*y + 3*y = h*f + 15, -4*y + f + 15 = 0. Let v be 1 - -3 - (0 - 2 - 0). Are y and v non-equal? True Let h = -626 - -627. Which is greater: 125 or h? 125 Let m(b) = -2*b**2 - 12*b + 5. Let x be m(-6). Suppose 2*v - x*v = 0. Which is bigger: -1 or v? v Let o be 1/(-3) + (-2185)/69. Let t be o/(-760) + 2/(-10). Which is greater: 1 or t? 1 Let z = -10826 + 10824. Let u = -6 - -13. Which is greater: u or z? u Suppose 34 + 6 = 5*t. Suppose 0 = 3*j, -5 = -k + 5*j - 0. Suppose 6*y - 7 = k*y. Is t smaller than y? False Let b = 12 - 2. Let c be (-14)/(-35) + 66/b. Which is smaller: 5 or c? 5 Let l = 0 + 0.02. Let y = 153 - 155.02. Let d = y + l. Which is smaller: d or -0.2? d Let g be (-13)/16 + 2 + -1. Suppose 4*o - 105 = 111. Let a = 54 - o. Is a equal to g? False Let d = 0.62 - 0.02. Let k = -0.6 + d. Let u = 2 - k. Which is bigger: u or 0.1? u Let p = 866 - 21642/25. Is p != 1? True Let v = -38 - 121. Is -159 smaller than v? False Let a = 8455/8 - 1054. Do a and 4 have the same value? False Let t be 1/(-6)*8*(-3)/4. Do t and -1/121 have different values? True Suppose -2*o - 6 + 26 = 0. Let g be (3 + 39/(-15))*o. Let d = 1 - -3. Is g > d? False Let v(x) = -x**2 - 7*x - 6. Let j be v(-4). Let m(n) = n**2 - 8*n + 12. Let b be m(j). Which is bigger: b or 2/85? 2/85 Let l = 1106.9 - 1107. Is -285 at most l? True Let t(a) = -2*a - 2. Let x be t(-20). Let j be 8 + -12 + 148/x. Which is smaller: j or 0? j Let w(a) = -4*a**3 + a**2 + 8. Let s be w(-4). Suppose 8*o = -2*o + s. Suppose 0 = -3*p + 9 + 72. Are o and p equal? False Let h = -3188/7 + 453. Which is greater: h or -3? h Let i(z) = -2*z**3 - 14*z**2 + 3. Let m be i(-7). Suppose -w + 29 + 16 = 5*n, 0 = -m*w + 5*n + 155. Which is smaller: 49 or w? 49 Let m be (-114)/84 - ((-20)/(-8) + -3). Let v(p) be the third derivative of -p**4/24 + 5*p**3/6 + p**2. Let q be v(5). Are m and q nonequal? True Let i = 770.816 - 771. Which is smaller: i or 0.3? i Suppose 2*n - 3*d = -d + 8, -4 = 2*n + 2*d. Which is greater: n or -2/67? n Let c(u) = 4*u - 28. Let f be c(8). Let d be (f/8)/(6/(-4)). Which is greater: -4/7 or d? d Let g = 24961/60 + -416. Is g at least as big as 2? False Let p = 2.9 + -92.9. Let b = p + 109. Is 2 less than b? True Let a be -2 - 3*(-4)/6. Let b = -81 - -74. Is a > b? True Let a be (-578)/(-930) - (-453)/(-755). Suppose -3 = -5*g - b + 3, -5*g + 5*b = 0. Which is bigger: a or g? g Let v(c) be the second derivative of c**3 - 33*c. Let q be v(-1). Let s be 0 - 0 - 52/10. Which is smaller: q or s? q Let i(t) = -t. Let a be i(2). Let u be (a/(-7))/(6/14). Suppose 2*k = -6*k. Is u >= k? True Let x = 399 + -398. Is x equal to 2/4227? False Suppose 35*p - 39*p + 24 = 0. Is 6 >= p? True Let k be (3/14)/((-7)/(-896)*12). Let c = 20/21 - k. Do 3 and c have the same value? False Suppose -r = -6*r + 6845. Are r and 1369 equal? True Suppose 26*f = -41*f + 26*f + 41. Suppose 0 = -5*b - 4*j - 9, -4 = j - 3. Which is smaller: b or f? b Suppose 3*k - 102 = -d, -4*k - 45 - 484 = -5*d. Is d greater than or equal to 105? True Let p(k) = 5*k**3 - k**2 + k - 1. Let c be p(1). Suppose 4*f - 12 = -c*j, 4*f + 2*j - 6 = 4*j. Suppose -3*z = -f + 5. Which is greater: 0 or z? 0 Let m = 253 - 255.7. Which is bigger: m or 0.03? 0.03 Let h = 30051045/988 + -121655/4. Let o = h - 42/19. Suppose -5*b = k - 3, 0*b + b + 5 = -3*k. Which is smaller: o or b? o Let n = 1264.0727 - 1264. Is n <= -1? False Let o = -84 - -84.041. Let f = 0.059 + o. Do f and -2/37 have different values? True Let u = -190 + 191.5. Let p = 30 + -30.4. Is u less than p? False Suppose -7*h + 9*h = 44. Let a = -3 + 25. Let z = a - h. Which is smaller: 3/8 or z? z Suppose -5*g + 63 - 143 = 0. Is -17 equal to g? False Suppose o + 0 = 2*y + 1, 4*o = -y + 4. Let l be (-24)/80*(-20)/2. Is o not equal to l? True Let v = -6/19 + 1606/1235. Which is smaller: 2 or v? v Let n(v) = -v**2 + 7*v - 6. Let x be n(6). Let k be -4 - 7/(28/880). Let z = k + 4255/19. Which is greater: x or z? x Let g = -97.3 - -95.3. Which is greater: g or 18.6? 18.6 Suppose -29 - 124 = 17*l. Which is greater: l or -8? -8 Let g(w) = -w**2 + 11*w + 5. Let u be g(13). Is -20 != u? True Let y be 238/63 + (-6)/(-27). Suppose -c - 19 = 2*c - 5*f, 12 = -c - y*f. Let v(l) = -l**2 + 6*l. Let q be v(7). Is q greater than or equal to c? True Let t = -1172 + 1173. Is t less than or equal to 32/27? True Let x = 1.7 + 6.3. Let a = x + -6. Let k = 20.1 + -20.2. Is a <= k? False Let q = 0 - 0. Let r = 21074/93 - 680/3. Is q greater than r? True Let f = -386 - -386. Let b be (-8)/(-70)*(-1)/2. Which is greater: b or f? f Suppose 0 = 4*v + 18 + 42. Let r be (-1)/(-4) - v/(-156). Let a = -3 + 1. Is r at least as big as a? True Suppose 0 = -2*c - 4*h - 16, 15 = 5*c - 2*h - 5. Suppose -m + 4 = 4*m + s, -c*s = m + 1. Let v = 10/13 - 76/65. Is m smaller than v? False Let m = 744.0445 + -0.0445. Let n = -747.09 + m. Let o = n + 0.09. Is -1/4 at least o? True Let y be ((-2)/(-3))/(9/(108/32)). Let o = -2 + 2.3. Which is greater: y or o? o Suppose -5*m - 4*q + 6*q + 4 = 0, -4*m = -2*q - 2. Suppose -6 = 2*f - 5*p + m*p, -p = 3*f + 31. Let v(o) = -3*o + 4. Let h be v(4). Is f less than h? True Let l = 35 + -65. Let j = -29.98 - l. Which is bigger: j or 2? 2 Let b = 4/2525 + 6008/32825. Is 1 greater than or equal to b? True Let g = 32 - 15. Suppose 3*b + 22 = 2*z - b, 2*z + b - g = 0. Suppose 0 = -7*f + 4*f + z, 3*l + f - 6 = 0. Is -1/18 smaller than l? True Let m be 0*(2/11 + (-259)/(-814)). Is m less than -5/84? False Let i = 49 - 46. Let w be (-1 - i) + 3 + 1. Let v be (-2)/6 + (-13)/24. Which is greater: w or v? w Let c be (-24)/(-6) - 6/2. Let v be 1*c/2*0. Is v bigger than 0? False Let s(v) = 3*v**2 + 91*v - 32. Let m be s(-32). Is m smaller than 128? False Let r = 76 - 49. Let i = -28 + r. Does 8 = i? False Let m be 668*((-6)/5 - -1). Let w = -134 - m. Which is bigger: w or -3? w Suppose 410 = 30*i - 790. Which is greater: 20 or i? i Suppose -d - 3 = 11. Which is greater: -18 or d? d Let u = 158.4 + -158.3. Let y be 46/(-10) - (-2)/(-5). Are u and y nonequal? True Suppose -499 = -5*b + 4*g + 70, 4*b + 5*g - 488 = 0. Which is bigger: 115 or b? b Let w(f) = -f**2 - 22*f + 771. Let h be w(28). Are -629 and h unequal? False Suppose 5 = 9*s - 31. Let o = 572/15 + -169/5. Which is bigger: o or s? o Let l = -183/22 + 3623/462. Let w(m) = -m**2 - 3*m - 3. L
{ "pile_set_name": "DM Mathematics" }
3*d - 215, -d - 30 = -5*s - 87 for s. -11 Solve 695*z + 14 = 693*z - 4*x, -z = -3*x + 32 for z. -17 Solve c = -5*d + 307, -1513*d - 208 = -43*c - 1515*d for c. 2 Solve 4*o - 2 = -4*v - 18, 13*v - 233*o + 230*o = 10*v for v. -2 Solve 4*c - 5*l - 34 = 5*l, 2*c + 48*l = 44*l - 10 for c. 1 Solve 25 = -2*f + 4*j - 8 + 41, 0*f - 4 = 4*f - 5*f - j for f. 4 Solve 72*z - 17*z = -4*t - 27*z + 350, -139 = -2*t - 5*z for t. 67 Solve -3*i + 2 = 3*j - 4, 4*i + 101 = 2*i - 71*j + 84*j for i. -5 Solve -4*u + 1 = 5*m + 12, 3*m + 394 = -10*u + 357 for m. 1 Solve -25*q - 23*q + 52*q + 64 = 6*l, 5*l - 54 = 4*q + 2 for l. 8 Solve 10*y = 13*y + 5*n + 21, 0 = 5*y + 4*n + 48 - 13 for y. -7 Solve -36*h + 62*m - 51*m - 108 = 7*m, -3*h = -3*m + 81 for h. 0 Solve -86 = 2*o - 2*l, 41159*o - 4*l + 550 = 41146*o for o. -42 Solve 6*g = -12*v - 108, 0 = 2*v + 74*g - 78*g - 22 for v. -5 Solve -7*q - 8 = -11*q - 4*b, -21*q - 51*q - b + 111 = -104 for q. 3 Solve -4*d + l + 373 = 0, -9*l = 2*d + 557781 - 557958 for d. 93 Solve 2*k + 5*m - 102 = -11, 28*m + 4 - 18 = -3*k - 4*m for k. 58 Solve 2*w + 81 = 1106*k - 1101*k - 4, -12*w - 599 = -4*k - 167 for k. 3 Solve -50 = -10*t, -g = -255065*t + 255070*t - 27 for g. 2 Solve 210*q + 2*b = 211*q + 2, -2*b = 2*q + 34 for q. -12 Solve 2*k - 49*o + 60*o + 5 = 10*o, 10 = -5*k - 2*o for k. 0 Solve 2*s = i + 51, 8*i + 56 = s + 8 for s. 24 Solve 6*i + 18 = 4*v, 844*v - 30 = 2*i + 840*v for i. 3 Solve 3*f - f + 12 = 6*f, 0 = -4*o - 377*f - 399*f + 2328 for o. 0 Solve -4*g + 56 = 2*y, -3*y + 532*g + 122*g = 9156 for y. 0 Solve 97*s = -3395, -36*y + 48*y - 13*y = -s - 33 for y. -2 Solve 4*k + 60 = 4*a, -4*a + 3*k - 5*k = 7 + 15 - 70 for a. 13 Solve 4*p - 306 = -156*v + 423 + 691, 5*p + 7 = 3*v for v. 9 Solve -2856*w - 5*g + 2250 = -2821*w, 0 = 3*w + 5*g - g - 200 for w. 64 Solve 0 = 36*d + 36, 0*g - 6*g - 36 = 6*g - g + 2*d + 2*d + 100 for g. -12 Solve -3*g - 6 = 11424002*r - 11424005*r, -4*g = -3*r + 1 for g. 5 Solve j - 1 + 35 = -58*n + 54*n, j = -n - 10 for j. -2 Solve 9*f + 7*f = -3*x - 3*f + 14*f - 278, 3*x = 4*f + 217 for x. -1 Solve 3531*i + 9 = -3*l + 3527*i, -3*l - 3*i = 3 for l. 5 Solve -14 = 2*r + 3*n, -23 = -5*r - 1099*n + 1100*n - 24 for r. -1 Solve 5*q - 2 = 20 - 4 + 2, t = q - 2*q for t. -4 Solve q + 3*q - 639 + 626 = -5*f - 8*q, 89*f - 87*f = -5*q + 5 for f. 5 Solve a - 32*p = 931, -9639 = 5*p - 9494 for a. 3 Solve -r = -29, 40*j + 36*j = 78*j - r + 39 for j. -5 Solve 653*t - 652*t - 8 = 3*q + 2, 0 = 21*q + 34*t - 340 for q. 0 Solve 136 = -22*b + 2*j, -2082 = -4*b + 18*j - 16*j - 2110 for b. -6 Solve 2*c - 9*m = 108, 133*c - 6*m = 135*c + 72 for c. 0 Solve -27 + 106 = -2*q - 9*i - 0, 3*q = -36*i - 231 for q. -17 Solve 19*g - 4*c + 20 + 32 = 23*g, 0 = g + 5*c - 25 for g. 10 Solve -4*c - 2*s - 24 = -22, 5*s = -4*c - 5 for c. 0 Solve 2*g + 2*r = 23 + 81, 2*g + 304 = -6*g + r + 6*r for g. 4 Solve 2*u + 3*b = -362 + 388, b - 114 = -27*u for u. 4 Solve 3*o - p - 9 - 67 - 32 = 0, -3*o = 3*p - 108 for o. 36 Solve -k - k = -p - 22 + 23, 5*k - 74 = -6*p for k. 4 Solve -7*l + 24 = -4*h + 21, 2*h - 5*h - 33 = 5*l for h. -6 Solve -180 = -2*d + 6*a, -2*a + a + 2*a - 342 + 386 = 5*d for d. 3 Solve -7*t - 77 - 35 = 3*c - 26*t, 2*c - 29 = t - 22 for c. 7 Solve 0 = -4*a - 9*h + 2834 - 2690, 0 = a + h - 36 for a. 36 Solve -z = -4*n - 17, 305*z - 301*z = -4*n + 8*n + 20 for n. -4 Solve 65664*b - 24 = -2*k + 65660*b, 5*k - 2*b = 48 for k. 10 Solve 2*t + 1035*i - 2086*i + 1052*i = -26, 0 = 3*t + 3*i + 90 for t. 4 Solve -6*p = -3*l - 60, 5*l - 137 + 153 = -4*p for l. -8 Solve 3*t + 12*r = 13*r + 104, -6*t + 4*r = 78 - 296 for t. 33 Solve -5*m + 7*h = 4*h + 1959 - 1887, -h = -3*m - 44 for m. -15 Solve h = -5*y + 3, 262*h - 3*y = 265*h - 9 for h. 3 Solve -64*g - 23*o - 61 = -69*g - 25*o, 5*g - 494 + 364 = -5*o for g. 3 Solve -9*o - 21*o + 88 = g - 3, 2*o - 6 = 0 for g. 1 Solve -2*y - 581 = 2*i - 0*i - 589, -2*i + 5*y = -8 for i. 4 Solve -3*y - 15 = p, -39*p - 3*y = -1068 + 1197 for p. -3 Solve -3*a - 4*k + 7 = 7*k - 16*k, -k + 0 = 5*a + 7 for a. -1 Solve 735898*t + s = 735894*t + 22, 3*t - s - 6 = 0 for t. 4 Solve -6*b - 14 = -4*k, 7*k = 170*b - 179*b - 34 for k. -1 Solve 699*h = 700*h + 14*m + 51*m - 239, m = 2*h + 46 for h. -21 Solve p - 13 = -5*s, 1302497 = -3*s - 2*p + 1302523 for s. 0 Solve 5*h + a = -23, 1698 = 140*h - 70*h - 74*h - 45*a for h. 3 Solve -11*d + 10*y = -9*d + 9*d + 9*y + 55, -d + y = 5 for d. -5 Solve -8*o - 3*s - 102 = 2*o - 0*s - s, 1069*s + 1 = 1064*s + 21 for o. -11 Solve -72*o - 11 = -70*o + 5*c, -c - 28 = -11*o + c for o. 2 Solve 73*o - 145 = u, u = -41*o + 26*o + 16*o - 1 for u. 1 Solve 1 = -z, 7*t - 2*t = 9*t + 3*t + 4*t - 2*z - 35 for t. 3 Solve -5*z = 2*g + 32, -488346*z = -488345*z + 6 for g. -1 Solve -100*i + 167 = 3*a, -486*i - 58 + 17 = -490*i + 3*a for i. 2 Solve -653*s - 48 = -j - 654*s, 0 = 4*j + 36*s - 38*s + 72 for j. 4 Solve -3*j = -5*g - 13, -34806 + 34814 = 2*j - 4*g for j. 6 Solve -27*q + 5*i - 236 = -31*q, -9*q - 4*i + 220 = 2*q for q. 4 Solve 0 = -8*m + 11*u - 7*u - 7*u - 97, -5*m - u - 23 = -7*m for m. -2 Solve -8927*d + 8921*d = f + 2*f - 66, 5*d - 15 = 0 for f. 16 Solve -5*a - 5*x = -x + 102, 3*a - 14197 = x - 14248 for a. -18 Solve 40*z - 6 = 3*i + 41*z + 18, 2*z + 36 = -9*i for i. 4 Solve -3*d - 53*b - 82 = -52*b - 12*b, 4*d - b = 0 for d. 2 Solve -2*z + 875 = -38*j + 985, -2*j = -z - 6*z + 4*z for z. 2 Solve -2*z = 4*r - 72, -3*z - 108 = 10*r - 284 for r. 17 Solve -5*n - 6*p + 53 = 0, 3*p - 77 + 57 = 4*n for n. 1 Solve 0 = k - 3*v + 9, 3*k - 7*k = 4*k - 29*v + 20 + 77 for k. 6 Solve -u - 20*l = 34, 2*u + 7*l - 10 = 9*l - 3*l for u. 6 Solve -863*z = -3*f - 858*z + 79, -17 = z for f. -2 Solve -126*f + 6*u - 204 = -122*f + 3*u + 92, 3*f + 183 = 12*u for f. -77 Solve 4*j - 60 = 5*s - s, -170*s - 4*j - 17 = -313*s + 146*s for s. -11 Solve -5*x - 3*u = 27, u = -1827*x + 1829*x - 4*u - 14 for x. -3 Solve -s - 48 = s, c + 84*s = -5*c + 81*s - 84 for c. -2 Solve 33*w - f + 86 = 0, 0 = 4904*w - 4903*w + 3*f - 58 for w. -2 Solve 11*s + 11 + 15 + 23 - 106 = -13, -30 = -z - 4*s for z. 14 Solve -3 = 4*f - 27, 10*f = -3*r - 24*f + 210 for r. 2 Solve -9*p - 34*z = p - 7*p - 31*z - 21, -5*z = 5 for p. 8 Solve 550*a = 3*y + 1106*a - 552*a + 271, 55*y + 4*a + 115 = 0 for y. 3 Solve 47*k = 5*h + 44*k + 107, 12*h + 116 = -11*k + 15*k for h. 5 Solve 21*v - f - 147 = 4*f, -113*f = -5*v - 111*f + 35 for v. 7 Solve 137*b + 26 = 265*b - 127*b + 5*n, -4*b - 24*n = -124 for b. 1 Solve 0 = 4*o + 3*g + 17, 2*o + o - 103*g = -196*g + 78 for o. -5 Solve -4*z = -7*c - 37, 725*z - 432*z = 5*c + 286*z + 14 for c. -7 Solve t + 29 = 2*p, 23*t - 27*t - 15*p - 228 = -30*p for t. 3 Solve 43*x - 43*x + 6 = -3*g, 24*x - 106 = 13*x + 16*x + 3*g for x. -20 Solve -21*b + 5*h - 62 = 0, 13876*h = -b + 13875*h + 2 for b. -2 Solve 0 = -17*l + 4*d - 280, -118*l - 7*d - 6 = -117*l - 2*d for l. -16 Solve -634*h = -345*s + 342*s + 1881, -2*s + 3*h = 5 for s. -7 Solve -c = 3*c + 3*g - 2*g + 17, 7*c - 4*g = 11*c + 68 for c. 0 Solve -23885*h + 23889*h - 2 = t, -92 = 4*t + 5*h for t. -18 Solve 613*o + 2*z - 366 = 628*o, 2*o + 105 = 19*z for o. -24 Solve 5*k - 6*q - 3*q = 2*q + 642, -2*k = -670*q + 668*q - 120 for k. 3 Solve -3*t + 69 = 9*j, -4*t + 42*j + 56 = 48*j for t. 5 Solve -32 = -3*i - 2*w + 4, -37*i + w - 18 = -37*i for i. 0 Solve 2*g = -z - 22 + 28, 81*z = 5*g + 86*z - 55 for g. -5 Solve -b + 2212 = 1110 + 1095, -2*i = 3*b - 15 for i. -3 Solve -5*v = x - 206, 10991*x = 11002*x + 5*v - 216 for x. 1 Solve 0 = -t + 27*b + 78, 4*t + 0*b = 5*t - b for t. -3 Solve -o + 35 = 2*s, 16*o - s - 560 = -528 for o. 3 Solve -2*f - m - 7 = 0, -93*f - 4063*m - 12 = -90*f - 4060*m for f. -3 Solve 2*g = 9 - 3, -2*g - 6 = 6*k - 5*k - 6*k - 32 for k. -4 Solve -4*s + 20*h = -s - 132, 235*s - 240*s - 3*h + 111 = 0 for s. 24 Solve g = 4*o + 4*g - 5*g + 38, -13 - 12 = -g for o. 3 Solve 4*o + 5*y = -11, o - 14*o = -14*o + 10*y + 31 for o. 1 Solve -2*j = f + 17, -5*j - 117 = -3*f - 58 for j. -10 Solve 1231*k - 5*q = 1226*k, -4*k - 3*q = -21 for k. 3 Solve -13250*l - 153 = -3*n - 13251*l, -199*n - 3*l + 9959 = 0 for n. 50 Solve 71 = 2*k + 3058*g - 3063*g, 4*k + 38 = -2*g for k. -2 Solve -5*g + 11 = 3*w, 5*w - g + 583 - 564 = 0 for w. -3 Solve 0*d + 3*d + b = 38, d - 3*b -
{ "pile_set_name": "DM Mathematics" }
6)/w))))/w) assuming w is positive. w**(-2745/92) Simplify (d**0)**(-23)/((d*d**(2/9))/d**3)*(d*d*d**(4/3)*d**(-6/11)*d)/(d**(2/3)/d)**(-4/9) assuming d is positive. d**(1609/297) Simplify ((z**9*z*z*z/(z*z**(-5)))/(z**(-3)/((z/(z*(z/z**(-11))/z))/z)))**(6/23) assuming z is positive. z**(42/23) Simplify ((v*v**(-25)*v*v**(-3))/(v**(-8))**(-28))**(-17) assuming v is positive. v**4250 Simplify ((y**0)**47)**(-19/5)*y**8*y*y*y*y*y/((y/((y/(y**4*y))/y))/y)*y*y*y*(y*y*y**(3/2)/y)/((y**8/y)/y) assuming y is positive. y**(15/2) Simplify ((k**(-5))**(-20)*k*k**(-8/3)/k*k*k*k*k*k*k**12*k)**42 assuming k is positive. k**4844 Simplify (y**(-1/8)/y)/y*y**(-11)*((((y*((y**(1/33)*y)/y)/y*y*y)/y)/y)/y)/((y*y/y**(4/7)*y)/y*y) assuming y is positive. y**(-30535/1848) Simplify (p**0/p)**(5/17)*(p*p**(6/7))/p**3*(p**(-2/15)/p*p**(-1/3))**23 assuming p is positive. p**(-62779/1785) Simplify (w**(-1)*w)**(-11/4)/(w**1*w)**(1/46)*((w/w**(-1/7))/(w*w**(-1/4)/w))**(-2/19) assuming w is positive. w**(-1163/6118) Simplify (n**1/(n/(n**3*n))*((n*n**(-16)*n*n*n*n)/n)/n*n*n**(-2/3))**(-1/6) assuming n is positive. n**(13/9) Simplify (x**(-4)*x/(x*x*x/x**(-4/5)))**(-16)*(x/((x*(x*x*x**(-1))/x)/x))**(-1/28)/(x*x**0)**(-13) assuming x is positive. x**(17047/140) Simplify (((o/((((o*o**(-11))/o)/o)/o))/(((o*o*((o*o*o/(o/(o*o**12)*o)*o)/o)/o)/o)/o))/(o/o**(2/17))**(1/33))**(1/13) assuming o is positive. o**(14/187) Simplify u**0/(u/(u/(u*u**(4/3)*u*u)))*(u**(-2/3))**(1/2)*(u**(2/7)*u)**(-2/21)*(u*u**(2/15))/(u/((u*(u/u**5)/u)/u)) assuming u is positive. u**(-7097/735) Simplify t/((t/(t/t**7))/t)*t**3*(t/t**(-1/3)*t)/(t/(t*t/(t**(-5)*t)))*(t**3/t**(1/9))/(t*t*t*t/t**(3/8)*t**(-1/3)) assuming t is positive. t**(355/72) Simplify ((((o**4*o)/o)/(((o/o**(-1/5))/o)/o))/((o**(-2)*o)/(o*o**3)))/((o**5*o)/(o**(-1/6)/o))**2 assuming o is positive. o**(-68/15) Simplify (i/(i/(i/(i/i**(-2/39))*i)))/(i*i/(i/i**(-32)))*(i/(i*i**(-35)))**(-2/9) assuming i is positive. i**(2828/117) Simplify ((f*f/(f*f**(-2)/f)*f*f*f)/(f/(f*f**0*f)))**(3/26)/(f**7*f*f**(2/15)/f)**(14/5) assuming f is positive. f**(-18574/975) Simplify (w/w**(-14)*w**2*w**1/(w/w**(-13/4)))**(-25) assuming w is positive. w**(-1375/4) Simplify ((b/(b*(b**(-45)/b)/b*b))/b)/b**(-28)*(b/(b*b**(1/12))*b)**(2/119) assuming b is positive. b**(52133/714) Simplify (y/(y/(y**(2/5)/y*y)))**45*(y**(1/4))**(-2/23)*(y**7/(y/(y**(-1/4)/y)))**0 assuming y is positive. y**(827/46) Simplify ((a**5*a**(-2/21))/(a/(a*a**8)*a**0))**(-17) assuming a is positive. a**(-4607/21) Simplify (((c**(-2)*c)/((c*c*c**(4/7))/c*c))/(c**(1/6)*c/c**(-1/6)))/((c*c/((c/c**(-1/4))/c*c))**(-5/14))**(1/2) assuming c is positive. c**(-229/48) Simplify ((t**(-6)/t)/t**(1/10))/(t**9*t*t/(t**(-1/4)/t)*t)*((t/t**(-11)*t)/(t/(((t/(t*t**(-9)))/t)/t)*t))**(-15) assuming t is positive. t**(-5807/20) Simplify s**(-18/7)/(s*s**(-3/22))*(s**(5/11))**(-10/13) assuming s is positive. s**(-7577/2002) Simplify (((p**(-10)/p)/(p*p*(p/(p/p**(-1/10)))/p))/(p**5*p**(-5/3)))**(-36) assuming p is positive. p**(2742/5) Simplify (((n**(1/7)*n)/(n*n*n/n**(-1/3))*n**(-2/11)/n*n**(-3/2))**(-13))**(-24) assuming n is positive. n**(-117052/77) Simplify (g**(3/10)*g*g**(-10/7))**(-1/47)*((g**(-4/7)/g*g)/g)/g*g*g*(g**(-9)/g)/g*(g**2)**(-1/26) assuming g is positive. g**(-498083/42770) Simplify (((u**10/u)/u)/u*u/(u*(u**(-9)/u)/u*u*u)*(u*u/u**(-2/11)*u)**(-15/4))**(-41) assuming u is positive. u**(-7339/44) Simplify (j**(2/3)*j*j/(j**0*j)*j*(j**(-1/3))**(14/9))/((j**(-1/3))**16)**11 assuming j is positive. j**(1642/27) Simplify a/a**(-3)*a**6*a**(-2/5)/(a/a**(-3/4)*a)*(a/(a/(a*a/(a/(a/(a/a**(-2/9))))))*a**(-3/2))**(-16/11) assuming a is positive. a**(15643/1980) Simplify (((t*t**(7/3)/t*t)/t)/(t**(-3/7)/t))**(-15)*(t**(2/45)*t*t*(t/(t*t**15))/t)**(-11) assuming t is positive. t**(30581/315) Simplify t*t/t**(-2/5)*t/t**(-1/4)*((t/(t*(t/t**1*t)/t)*t*t)/t)/(t**6*t)*(t/(t*t**(-2/5)/t)*t**(4/5))/(t**(-2/5)/(t**0/t)) assuming t is positive. t**(-3/4) Simplify (h*h**(1/3))**(6/19)/(((h*h**(-3))/h)/(h*h**1))*(h/h**6*h**(-5)/h*h)**(-6/31) assuming h is positive. h**(4333/589) Simplify m*m**2/m*m**(-3/5)*(m/(m/m**2*m))/m*m**(-1/5)*(m**4/m**(2/5))/((m*m/(((m/(m*m**(1/2)/m*m*m))/m)/m))/(m/((m**(-4/5)/m)/m*m))) assuming m is positive. m**(21/10) Simplify (((k/((k/(k*k**(-7/3)))/k))/k)/(k/(k/((k*k**(-8/5)/k)/k)))*(k/(k/k**(-9)))**(-7))**14 assuming k is positive. k**(13496/15) Simplify ((((l/(l/l**(-2/3)))**32)**43)**(-46))**(2/11) assuming l is positive. l**(253184/33) Simplify ((b**(-4)*b**0/b*b**(-2/3)*b*(b/((b/b**6)/b))/b)**(-20))**(-31) assuming b is positive. b**(2480/3) Simplify (c/(((c/c**8)/c)/c)*(c/(c*c/c**16))/c)**30*((c/(c/c**(-3/7)))/c**(-5))/(c*c**(-1)*c*c**(1/7)) assuming c is positive. c**(5064/7) Simplify ((c**(4/7)/c)**(-16/11))**(-2/53)*((c**(-6)*c)/(c/c**(-8)*c))/(((c/c**(-3/7)*c)/c)/(c*c**(-2/11))) assuming c is positive. c**(-63802/4081) Simplify (n/(n**(-23/4)*n)*n*n**(5/11))/(n**(6/19)/n**28) assuming n is positive. n**(29167/836) Simplify (z*z**(-1/15))/(z*z/((z*z*z*z*z*z*z*z*z*z**11*z)/z))*(z/(z/(z*z**(5/4)))*z)**(-33) assuming z is positive. z**(-5299/60) Simplify (k**(-2/23)/k**2*((k/k**24)/k)/(k/(k**(1/19)*k)))**(-17/4) assuming k is positive. k**(193409/1748) Simplify (k/k**(-1)*k**6)**7/((k/(k**(-1/4)/k))**41*(k/((k**(-1)*k*k*k)/k)*k*k)**(12/13)) assuming k is positive. k**(-1981/52) Simplify (g**(-2/7))**(-2/63)/(g**(-2/9)*g**7/g*g)*g**(1/6)*(g/(g*g/g**4))/g*(g/((g*g/(g**(7/2)*g))/g))/g**(-1) assuming g is positive. g**(44/49) Simplify (((m**(-2/3)/(m/m**(-2)))/(m/((m**(-3/4)*m)/m)*m*m**(-5)))**(2/11))**42 assuming m is positive. m**(-119/11) Simplify ((z/z**(-4))/z**(1/3))**40/((z**(-1/2))**(-1/7))**(-34) assuming z is positive. z**(3971/21) Simplify ((u*u/(u/u**0))**48)**28/((u**(2/9)*u**5)/(u**4*(u**(-3/2)/u)/u)) assuming u is positive. u**(24107/18) Simplify (b*b**9)/b**(-9)*((b/b**(-1/3))/b)**(-1/5)*(b**5/b**(-15))**(-44) assuming b is positive. b**(-12916/15) Simplify ((q**4*q)/(q/(q*q/(q*q**(-1/7)/q))*q)*(q**(-5)/q)/((q**(-3)*q)/q))/(q**(2/5)/(q**1*q))**(-20) assuming q is positive. q**(-209/7) Simplify (((l*l**(-5))/l**6*(l*l/(l/(l/l**1)))/(l/(l/(l/l**(-2/7)))))**(-3/10))**(-46) assuming l is positive. l**(-4968/35) Simplify ((t**8*t**(-9)*t**(3/4)*t**8)**(-17))**(6/37) assuming t is positive. t**(-1581/74) Simplify (((x/(x*x*((x/(x**(-1/9)/x))/x)/x*x))/x)**(-2/41)*((x*x**3*x)/x)/x**13)**8 assuming x is positive. x**(-26120/369) Simplify (j**4/j*j*j*j**2)**(32/7)/(((j**2/j)/(j**3*j*j))/(j**(1/3)*j**(-1/6))) assuming j is positive. j**(217/6) Simplify ((r*r**(1/7)*r*r**(1/3)/r)/((((r*r**(2/3))/r)/r)/(r/(r*r**(-1/14)/r)*r)))/(r**(-2/13)*r**10)**6 assuming r is positive. r**(-30137/546) Simplify (i**(-31))**(17/5)*(i*i**(-22))/(i/(i*i**(-41))) assuming i is positive. i**(-837/5) Simplify ((c*(c**(-7)*c)/c)/c**(-2))**(-15)*((c*c*c/(c/c**(1/2))*c*c*c*c*c)/((c/((c*c**2)/c))/c))/(c**(5/3)/(c**(2/5)/c)) assuming c is positive. c**(2017/30) Simplify ((x**(2/5)*((x**24*x)/x)/x)/((x*x**(-22))/x*x**(-4/7)/x))**(-44) assuming x is positive. x**(-72336/35) Simplify (k/(k*k**5)*k)/k**(1/2)*(k*k**(2/3)/k)**32*(k**(4/9)/k**(-6/7))/(k/(k**(-3)/k)*k*k*k**(1/10)) assuming k is positive. k**(3476/315) Simplify ((n/(n**(1/5)/n))**(-3)/((n/(n/(n*n*n**(-4)*n)))/n**(-1/7)))**(2/33) assuming n is positive. n**(-106/385) Simplify (((l/l**(12/7)*l)/(l*l*l**3))/((((l/l**(-3/5))/l)/l)/l)**(1/24))**25 assuming l is positive. l**(-19555/168) Simplify ((j/j**6)/j**3*j**(-4)/(j**(-1/7)/j))/((j**(-1)*j)**(-2/23))**(-3/35) assuming j is positive. j**(-76/7) Simplify (g**(-25/6))**(22/9)/((g*g*g**24*g*g)/(g/(g*g**15))) assuming g is positive. g**(-1436/27) Simplify ((c**(-37))**(-13)*(c**(-2/11))**13)**(2/9) assuming c is positive. c**(1170/11) Simplify (z*z*z*(z/z**(-1))/z*(z**(1/4)*z)/z)**(-4/35)/((z*z*z**(-4/5)*z**(-1/8)/z)/(z**(2/15)/(z**0*z))) assuming z is positive. z**(-1199/840) Simplify ((i**(-6)*i**(-1/5))/((i/((i*i*i**(1/5)*i)/i*i))/((i*i/(((i**1*i*i)/i)/i))/i)))/(i*i*(i*i**(-3/4))/i*i**(1/4))**12 assuming i is positive. i**(-22) Simplify (((f*(f*f**(-2/9))/f)/(f**2/f))/((f*f**(-2/15))/f**(-5)))/((f/((f**4/f)/f))/(f/(f*f*f*(f**(-2/7)/f)/f*f))*(f**(2/5))**(-20)) assuming f is positive. f**(692/3
{ "pile_set_name": "DM Mathematics" }
et g(j) = -j**2 + 12*j + 19. Let v be g(13). Let h be 18/15*35/(-28). Which is the nearest to v? (a) 0 (b) h (c) 0.5 c Let x = -916 + 911. Which is the nearest to 1/4? (a) 1/11 (b) 0.3 (c) 0.1 (d) x b Let p = 0.6 + -0.1. Let i = 0.0508583 - 0.0508583. Which is the nearest to i? (a) 41 (b) p (c) -1 b Let n = 4879.82 + -4880.82. Let m be (-1 + (-7)/(-15))*3. Which is the closest to n? (a) 2/17 (b) 1 (c) m c Let f = 0.09109 + -0.22109. What is the nearest to 1/3 in f, 15, 1/2? 1/2 Let k = 228 + -224. Let s be 10/k + 3*4/(-6). Which is the nearest to s? (a) -8 (b) -3 (c) 0 c Let l = 3425.2 + -3426.2. What is the nearest to -2 in -4, l, -269, 4/7? l Let r be (-13938702)/(-63882) + 2/9. Let b = -1529/7 + r. Let w = 670/507 - b. What is the closest to 1/2 in w, 6, -0.5? w Let i be (15 + -13)/(-1 - 10/(-14)). Let q be 8 + i + 5 - 5. Let a = 8 - 5. What is the closest to q in -5, -0.4, a? -0.4 Let x = 3.814 + 0.186. Which is the closest to -4/5? (a) x (b) -6 (c) -3 (d) -0.1 d Let x = 83 + -47. Let f = x - 36.12. Let d = f + -1.88. Which is the closest to d? (a) 0.4 (b) 2 (c) 0.3 c Let m = 5278 + -5278.3. Let y = 936/3227 + -2/461. Which is the closest to -1? (a) m (b) -3 (c) y a Let r = -26980/3 + 8993. What is the nearest to 1837 in -1/2, -0.4, r? r Let j = -4769/12760 - 2/1595. Which is the nearest to 0.09? (a) 10 (b) 2/7 (c) j b Let u = 0.082 - -3.218. Let y = u + -2.8. Let i = -1.1 + 0.1. What is the nearest to i in 2, y, 0.1? 0.1 Let f(q) = -q - 4. Let m be f(-4). Let s = 100023 + -100023.01. What is the closest to -1 in m, s, -3/4? -3/4 Let z = 65416 - 65415.7. Suppose 3*i + l - 6 = i, 5*l = -20. Let g(v) = v - 3. Let h be g(i). Which is the nearest to h? (a) 0.5 (b) 1/7 (c) z a Let f = -442 - -396. Which is the nearest to -2? (a) f (b) 0.5 (c) -0.1 c Suppose -4*r - 2*j - 24 = 0, -10 = 5*r + 2*j + 19. Let w be (6/(-9))/(2/108). Let v be ((-6)/(-10))/((-54)/w). What is the nearest to v in r, 11, 4? 4 Let y = -15008/3 - -5004. Which is the closest to 300? (a) y (b) 0 (c) 1 (d) 0.4 a Let o = -4.6169 - 0.3831. What is the nearest to -2/3 in 1/2, o, 0, 2/9? 0 Let j be (-3)/(-2)*(-2)/(-3). Let u = 5.06 + -5. Let d be (561/(-1496))/((-45)/24). Which is the nearest to -2? (a) u (b) j (c) d a Let a be ((-220)/40)/11*6/(-9). What is the closest to a in -0.5, 12, -0.16? -0.16 Let i = -64 - -64. Let l = -12 + 17. Let b = -28 - -27. What is the nearest to l in i, -4, b? i Suppose -u = -3*c - 7, -4 + 13 = -5*c + 2*u. What is the closest to 0.08 in -3/5, 4/5, c, 1/3? 1/3 Let m be 32/11*((-264)/16)/(-11). Let v = 358/77 - m. Which is the nearest to 0? (a) 3 (b) v (c) -4/3 b Let y be (-19 + 3)/(2/24*2). Let p = -94 - y. Suppose 4*i - z = 7, 0 = 4*i + i - 3*z. What is the closest to p in 1/4, i, 2? 2 Let u = -3315 - -3314.94. Let t = 1.38 + -0.91. Let l = t - -0.03. Which is the closest to -1? (a) 3 (b) l (c) u c Let w be (-539)/770*4/7. Which is the nearest to 0? (a) -4 (b) 26 (c) -1 (d) w d Let a be 2 - -1 - (-7768)/(-532). Let k = 79/7 + a. Let n = -87/95 - k. What is the closest to 1/2 in -2/3, -1, n? n Let t = 1537 + -1537. Let z = -0.3 - -0.2. Which is the nearest to t? (a) -1 (b) 0 (c) z b Let x = 125 - 120. Suppose -9*s + 12 = -7*s + 4*t, s - 15 = -x*t. Which is the nearest to -1? (a) -2/9 (b) -16 (c) s a Let x be (23/(-115))/((-24)/(-40)). What is the closest to x in -0.83, -0.1, 2? -0.1 Let g = -1171 - -1708. Let b = g - 1075/2. What is the closest to 0.2 in b, -5, -0.1? -0.1 Let s be 15078/(-245) + (3 - (-54)/(-15)). Let w = s + 62. Which is the closest to w? (a) -4/3 (b) -2/3 (c) 2/3 b Let o = 80.7388 - 0.0388. Let t = 84 - o. Let f = t + -8.3. What is the nearest to 0 in f, -0.06, -2? -0.06 Let n = -3.87 + -1.13. Which is the closest to -7? (a) 7 (b) -2 (c) -0.1 (d) n d Let l = -557/5 + 111. Let w(h) = -h**3 - 7*h**2 - 9*h + 1. Let m be w(-5). Which is the nearest to l? (a) 1/2 (b) m (c) -2 a Let v = -154 + 154.4. Let t = 0.02 + -0.054. Let z = -4.034 - t. Which is the nearest to 1? (a) v (b) z (c) 1 c Let i = 0.802 + 7.198. What is the nearest to -1 in -0.02, i, 1? -0.02 Suppose 0 = -83*r + 88*r + 3780. Let w be r/49 - -12 - (-1 - 2). What is the closest to 39 in -2, w, 4? 4 Let q = 9.644 + -7.644. Let j = -0.1 - -0.04. What is the closest to j in 0.6, -5, q? 0.6 Let x = -38 - -36. Let f = 55 - 54. What is the nearest to -1 in 22, x, f? x Let h be (-29)/(4060/80) + 1/1. Which is the closest to 2? (a) 2/5 (b) -12 (c) h (d) 0.09 c Let w = -3592 - -3597. Which is the closest to 3? (a) w (b) 0.06 (c) 4 c Let g = 0.1 - 0.2. Let s = -284081.7 + 284082. What is the closest to -1 in s, 0.4, g? g Let w be (6/4)/(-3) - 836/(-152). Which is the closest to 1? (a) -2/9 (b) 12 (c) 4 (d) w a Let k = -7 - 6.8. Let s = k + 13.9. Let v = 33/56 + -5/7. Which is the closest to s? (a) v (b) 1 (c) -0.7 a Let c(u) = u**3 - 6*u**2 - 19*u + 20. Let f be c(8). Let r be (1/4*90)/(2/f). Let b be ((-20)/r)/((-4)/6). What is the nearest to -2/7 in b, 5, 0.2? b Let l(w) = -w**2 + 28*w + 288. Let r be l(-8). Which is the nearest to r? (a) 0.02 (b) 3 (c) 203 a Let v = 11380 - 11378. Which is the closest to 1? (a) 3 (b) v (c) 941 b Let u = 19418/45 - 3880/9. Let f = -0.3 + 0. Which is the nearest to -1/4? (a) u (b) 7 (c) f c Let w be 1150/(-4)*1/2. Let t = 144 + w. What is the nearest to 0.1 in -0.4, t, -0.9, -1? t Let q = -219.3 + 219.4. Which is the nearest to q? (a) 1/7 (b) 11 (c) 4/5 (d) 2 a Let s = -1/5697 + -5693/22788. What is the nearest to -0.1 in 184, s, 2? s Let b = 1330 + -1328. What is the closest to 3 in -2/73, b, -3? b Let i be 8/(-18)*(-228)/(-8). Let r = i - -13. Let k be -3 + (18 - 700/42). Which is the nearest to 0? (a) r (b) k (c) -5 a Let h = 56 - 55.71. Let a = -916 + 914. What is the nearest to a in 0.5, -4, -0.5, h? -0.5 Let j be (-10)/(-12)*(-1)/5. Suppose -78 + 24 = -9*l. Suppose 0 = -l*b - 28 + 34. What is the closest to b in 10, j, 0.3? 0.3 Let w = 6402 + -6407. What is the closest to w in 0.007, 0.4, -3, 5? -3 Let n be (1 - 9) + 102/17. Let h = 108 - 104. Which is the nearest to 0? (a) h (b) -2.2 (c) n c Let g = 4/75 + 359/300. Let x be (-21)/(-6) - 45/(-18)*(-18)/15. What is the closest to 1/2 in x, 4, g? x Let i = 94 + -65. Let w = i - 28. Which is the nearest to w? (a) 0.3 (b) 0.5 (c) -5 b Suppose -t = -3*w - 4, -3*w - 3*t + 7 + 5 = 0. Let i = -213.33 + 213.4. Which is the closest to w? (a) 3/4 (b) 1 (c) i (d) 1/4 c Let h = 1734 - 1711. What is the nearest to -1 in 0, h, 0.1, 1? 0 Suppose -362*s + 353*s = 84609. Let c be ((-158)/s)/((-1)/7). What is the nearest to -0.1 in -3, 0.4, c, -9? c Let y = -11.8 + 12. Let l(w) = -25 + 0*w**3 + 27 + w**3 - 8*w**2. Let g be l(8). What is the nearest to g in 2/5, -1/4, y? 2/5 Let a = -1223/2 - -611. Let t = -3.1 - -1.1. What is the nearest to a in 5, 2/41, t? 2/41 Let w = -0.05 + -0.35. Suppose 2*f - 4*i + 2*i - 2 = 0, 0 = -2*f - 2*i + 10. Let y = -16163/48498 + -1/16166. What is the closest to 0 in f, y, w? y Let u(g) = -g**2 + 18*g - 34. Let y be u(16). What is the closest to 2/199 in y, -3, 2? 2 Let g = -9 + 43/5. Let d = 17.11 - 16.93. What is the closest to d in g, 5, 1/6? 1/6 Let a = -183 - -193. Suppose -3*k = -a - 5. What is the nearest to 0.2 in -1/4, k, -0.5? -1/4 Let q = 113 - 40. Let b = q + -138. Let l = b - -65.1. What is the closest to -2 in -0.4, 2/5, l? -0.4 Let j = 3003 + -3002.7. What is the nearest to j in -178, -0.5, -4/3? -0.5 Suppose t - 2 = 3*t - 4*v, 5*t + 19 = 3*v. Let u be ((-1)/t)/(27/(-5) + 5). Let x = 0.1 + -0.3. What is the closest to -1 in -1, u, x? -1 Suppose -k - 3 + 20 = 4*i, -5*i = -4*k + 5. Let x be 6/k*(-62)/(-93). Which is the closest to 2/11? (a) -3 (b) 0.4 (c) x b Let m = -713 - -394. Let a = m - -316. What is the nearest to -0.1 in a, 0.1, -0.5? 0.1 Let t be (4/2)/18 - (12 - (-580)/(-45)). Let b = -5.2 + 6. Let y = b - -0.2. What is the nearest to y in 2/5, t, 15/7? t Let i be 16 + -6 - (-32)/(-3). What is the nearest to i in -3/17, 4, -1? -1 Suppose r - 133*i - 13 = -138*i, 4*i - 16 = 0. Which is the closest to 0.1? (a) 1/3 (b) -4 (c) -61 (d) r a Let h = 2.2266 + -1.9266. Let x be 1/(-3) + (-175)/(-30). Which is the nearest to -1/2? (a) x (b) 3/5 (
{ "pile_set_name": "DM Mathematics" }
= -3*j - 2*f - 2. Suppose -5*h + 0*h = 5. What is the fourth smallest value in 0.04, 1, j, h? 1 Let j = -15.79 + 16. Let q = j - 0.1. Let y = -0.41 + q. Which is the third biggest value? (a) y (b) 0 (c) -3/5 c Let s be (-1428)/(-108) + (-2)/9. Let l = 1 + s. Which is the second biggest value? (a) 3/7 (b) -5 (c) l a Let r = 0.03 + -3.03. Suppose -6*d = 260 + 82. Let i = d - -282/5. Which is the third biggest value? (a) i (b) r (c) 2/7 b Let h = 39969199789 - 155280342628133/3885. Let r = h - 1412/259. Let p = -378 - r. What is the third smallest value in p, -3/8, -1? p Let t = 2.1 - 2. Let x = -3323 - -3319. Which is the third smallest value? (a) t (b) 1 (c) x b Let s = -546 - -551. Which is the third biggest value? (a) -0.3 (b) -0.4 (c) 1/4 (d) s a Let d(n) = -n - 1. Let g be d(-5). Let z be (8 - 10)/(2/g*1). Which is the smallest value? (a) 5 (b) -9 (c) z b Let u = 0.053 - 0.353. What is the biggest value in 2/5, 4, u? 4 Let p be 245/(-77) - (-2)/11. Suppose y + 4 = -0. Let d be y + (180/16)/3. What is the biggest value in 4, p, d? 4 Let p be -2 + ((-63)/(-33) + 0)*1. Which is the third biggest value? (a) p (b) -3 (c) 0.07 b Let q(u) = u**3 + u**2 + u. Suppose 3*x - 11 + 8 = 0. Let w be q(x). Which is the third biggest value? (a) -3 (b) w (c) 0.12 a Let q = 3227.2 - 3227. Let m = -0.04 + 0.44. What is the smallest value in 0, 1, m, q? 0 Let n = 4.09 + -0.09. Suppose -s - 27 = -22. What is the second biggest value in n, 1/2, s? 1/2 Let r = 0.2 + -0.5. Suppose 9*w - 7*w + 4*g = -18, -2*w + 3*g = -10. Let j be 1/(-1) - (w/(-3) + -2). Which is the second biggest value? (a) 3 (b) r (c) j c Let s be 10/(-6)*(-5)/(200/48). What is the fourth biggest value in -1/2, 2/3, -0.2, s? -1/2 Let f = -662 + 661. Let t = 25 + -47/2. Which is the second smallest value? (a) f (b) 2/13 (c) t b Let l be (-15)/13*(164 - 1). Let z = -188 - l. Let g = 0.02454 + -0.42454. Which is the second smallest value? (a) 4/5 (b) z (c) g b Let l = -0.2 - -0.7. Suppose p + 2*v - 1 + 2 = 0, 2*p + 5*v + 7 = 0. Let w(d) = -d + 6. Let j be w(p). What is the smallest value in l, j, 0.3? j Let g = 638.5 + -639. What is the third smallest value in -2/15, -3, g, -0.12? -2/15 Let a = -2.88 + 3. Let m = a - 0.32. Let l = m - -0.5. What is the smallest value in 4, l, -5? -5 Let p = 13 + -16.5. Let x = p - -3.4. Which is the third smallest value? (a) 1/3 (b) x (c) 6 c Let r(t) = -4*t + 28. Let s be r(8). Let i = 4.4 - -0.6. Which is the fourth smallest value? (a) i (b) 0.5 (c) 0.2 (d) s a Let m = -4.9395 + -0.0605. Which is the smallest value? (a) 2/19 (b) 0.5 (c) m (d) 17 c Let s = -1.9 + 2. Suppose -10*h = -4*n - 12*h + 10, 0 = 5*n + 4*h - 26. What is the fourth biggest value in 1/2, n, -0.1, s? n Let c be ((-11)/(-198))/((-2)/(-8)). Let n be (-2)/(-5)*(1 + -2). What is the fourth biggest value in c, 5, n, 0.1? n Let x = -238.6 - -239. Which is the fourth biggest value? (a) x (b) 9 (c) -1 (d) -4/7 c Let n = 187/3 - 64. Let v be (-3)/(-15) - (-12)/(-10). Let i be (-6 - -2 - v)/((-1)/(-1)). What is the second smallest value in -0.2, i, n? n Let o be 3005/660 - (6 - 1). Let f be ((-1)/(-12))/(4/(-4)). Let r = f - o. Which is the second biggest value? (a) 4 (b) r (c) 5 a Let l = -350.5 - -350. Suppose x = 2*w - 3, -3 = -2*x + 3*w - 8. Which is the smallest value? (a) -5 (b) -1/3 (c) l (d) x a Let o = -3.06 + 3.36. What is the biggest value in 2, 4, 3/7, o? 4 Let k(o) = -o**3 - 5*o**2 - 3*o + 2. Let f be k(-4). Let v = -61.1 - -61. Let u = -0.01 + 0.11. What is the biggest value in v, u, f? u Let r = 2.4 - 2. Let x = -389 - -384. Let u be (1*(5 - 4))/1. What is the second biggest value in r, x, u? r Let v = -0.057 + -0.343. Which is the fourth smallest value? (a) 0.2 (b) -5 (c) v (d) 18/5 d Let t = -50.3 - -53. Let s = -1.6 - -1.9. Let k = t + s. Which is the third smallest value? (a) 0.02 (b) k (c) 1/8 b Suppose -4*q - 20 = 0, 5*g - 14 = -4*q + 16. Let h = 41/4 - g. Let d = 580.8 + -581. Which is the third biggest value? (a) d (b) 4 (c) h a Let r = -1.58 + 1.88. Which is the smallest value? (a) 1/11 (b) r (c) -2 c Let x = -1.94 + 2.24. Which is the fourth biggest value? (a) x (b) -1 (c) -0.5 (d) -0.3 b Let t = 2.2 - 0.2. Let h(w) = -w - 14. Let f be h(-13). Let p be -6 + 2 + 1 + (-33)/(-12). What is the second smallest value in p, f, t? p Let m = 0.9 - 3.9. Let j be 166*(-4)/24 - -3. Let z = j + 25. Which is the third smallest value? (a) 2/3 (b) z (c) m a Let v = -4 + 6.7. Let r = -2.9 + v. Which is the second biggest value? (a) 0.3 (b) 1/4 (c) r b Let z be 1/2*5*(-96)/(-420). Let m be ((-4)/(-8))/((-7)/6). What is the second biggest value in m, z, 4? z Let k = 118 + -113. Let p = 3.3 - 3.7. Which is the second smallest value? (a) k (b) 1/5 (c) p b Let f be ((-10)/(-4))/((-2)/(-4)). Let v = -3286 + 3289. What is the smallest value in v, 0.6, f? 0.6 Let p = 0.31 - 0.24. Let t = -1.93 - p. Which is the third biggest value? (a) t (b) 1/4 (c) 0.03 a Suppose 0 = -16*q - 150 - 154. What is the third smallest value in q, 1, -6/5? 1 Let p = 1.9114 + 0.0886. Let j = -1 - -9/7. What is the second biggest value in 0.5, j, -1/8, p? 0.5 Suppose d + 4*n = -n - 21, 4*d = 2*n + 4. Let z = 2759 + -2758.6. What is the smallest value in 0.5, d, z? d Suppose 22 = -5*l - 4*r, -7*r + 8*r + 3 = 0. Suppose 2*o = t + 13 - 5, 0 = -3*o - 2*t + 19. Which is the biggest value? (a) o (b) -2/13 (c) l a Let y = 0.0296 + 7.9704. Which is the second biggest value? (a) y (b) 0.06 (c) 0.3 c Let t = -631.5 - -631. What is the biggest value in 4, 2/9, t, -3? 4 Let v(r) = r**3 + 3*r**2. Let f be v(-2). Suppose 0 = 8*t - f*t. Which is the second smallest value? (a) t (b) -0.3 (c) 0.3 a Let r = -10/9 + 8/9. Let h be (2 + -1)/((-1)/(-6)). Let z be (9/h - 2)*-2. What is the second smallest value in -3, z, r? r Let y = -1.723 - -1.523. What is the third smallest value in 4, 5, 0.01, y? 4 Let u = -296 + 292. What is the second smallest value in 4/5, u, 48? 4/5 Let p(y) = -37*y - 1. Let x be p(-1). Let v = 32 - x. Let w be (1/5)/(12/15). What is the third biggest value in 3, v, w? v Let m = -193.5 + 193.8. Which is the second smallest value? (a) -1 (b) 1.4 (c) 0 (d) m c Let z = -155 + 155. Which is the third biggest value? (a) z (b) 2/15 (c) -19/3 c Let u = -4 + 17. Let p = u - 17. Let q = 0.09 + 0.21. Which is the third biggest value? (a) 2 (b) p (c) q b Let o = 330 + -292. What is the fourth smallest value in -0.4, o, 3, -1? o Let h = -1944 - -1948. Let k be 6*-2*(-1)/8. What is the third smallest value in h, k, -5, -0.4? k Let w = -4 + 0. Let v = 0.14 - 0.64. What is the third biggest value in v, -3, -0.4, w? -3 Let q = -2 + 2. Let g = -332135/38 + 8741. Let o = g + -2/19. Which is the biggest value? (a) 2 (b) q (c) o a Suppose 2*g = 4*g - 10. Let d be 3/g - (-635)/25. Suppose 4*m - d = 2*m. What is the third smallest value in 3/8, m, -1? m Suppose 5*d = 5*x - 575, 0 = d - 4*d - x - 333. Let z = d + 221/2. Which is the smallest value? (a) 0.5 (b) 16 (c) z c Let u = 153 + -154. What is the fourth smallest value in 58, 3/7, -0.5, u? 58 Let x = -2/219 - -484/5037. What is the smallest value in x, -6, 3? -6 Let g be 3 + ((-775)/(-1235))/1. Let w = -66/19 + g. Which is the second smallest value? (a) 0 (b) -3 (c) -1/2 (d) w c Let w = 263 - 238. Which is the second smallest value? (a) 0 (b) 3/8 (c) w b Let w = -197/476 + -1/68. What is the second smallest value in -1, 0.5, -0.107, w? w Let u = -84.89 + -2.11. Let q = -87.3 - u. What is the biggest value in -1, q, 100? 100 Let i = -6.2 + 6.1. Let z = -7 - -6.6. What is the fourth biggest value in -4/5, z, i, -2? -2 Let o = 1.4 - -0.2. Let k = o + -1.79. Let c = k + 1.19. What is the third smallest value in c, 2, 3? 3 Let q = 21 - 41. Let n = q + 10. Let t = -15 - n. Which is the smallest value? (a) -2/9 (b) 3/8 (c) t c Let w = -1128/7 - -2249/14. Let n = -0.13 - -0.04. Which is the fourth biggest value? (a) w (b) n (c) -2/7 (d) 2 a Let y = 0.413 - -1.587. Which is the third smallest value? (a) y (b) -11 (c) 0.4 a Let i = 1 + 4. Let n = 28917/11 + -2629. Which is the second smallest value? (a) n (b) -4 (c) i a Let f = -60 - -60. Suppose f = -5*k - 2*r + 1, -5*r
{ "pile_set_name": "DM Mathematics" }
d by x? 9 Suppose 2*q + 6 = -0*s - 4*s, 2*q + 5*s + 9 = 0. Suppose -q*u = 2*u - 55. Calculate the remainder when u is divided by 3. 2 Let k be 2/4 - (-30)/20. Suppose -36 - 116 = -k*y + 4*t, 0 = -y - 3*t + 66. What is the remainder when y is divided by 15? 12 Let k(v) = -35*v - 215. What is the remainder when 449 is divided by k(-7)? 29 Suppose 0 = 50*i - 47*i - 39. Calculate the remainder when 154 is divided by i. 11 Suppose -17 = -4*c + w + 108, -2*c + 79 = 5*w. Suppose -5*n - 3*h + 28 = -581, -2*n = 5*h - 236. Calculate the remainder when n is divided by c. 27 Suppose -20 = 4*p, -2*f + 173 = 2*f - p. Let j = -956 - -965. What is the remainder when f is divided by j? 6 Suppose -61*n - 1507 = -72*n. Calculate the remainder when n is divided by 10. 7 Let f be 403/9 - 3 - 6/(-27). Suppose -m - 3 = -5*j, 2*m + 0*m - f = -2*j. Calculate the remainder when 82 is divided by m. 14 Suppose -2*x + 6 = -w, 13 = -4*w - 0*x - 3*x. Let q(r) = -5*r - 5. Let z be q(w). Suppose z = 6*a - 3*a. What is the remainder when 19 is divided by a? 4 Suppose 3 = -3*x - 6*j + 3*j, 4*j = 5*x - 4. Let z(h) = -h**2 - h - 2. Let v be z(x). Calculate the remainder when 27 is divided by (-20)/(-15)*(-15)/v. 7 Suppose -4*x + 0*x = -80. Let h be ((-45)/(-45))/(1/(8/2)). What is the remainder when -4 - (-1)/((-163)/41 + h) is divided by x? 17 Let g(o) = -20*o**3 + o**2 - 3*o - 4. Calculate the remainder when 32 is divided by g(-1). 12 Suppose 75 = -0*w + 3*w. What is the remainder when w is divided by 7? 4 Let i = -558 - -789. Let v = 332 - i. What is the remainder when v is divided by 26? 23 Let b(d) = -d**2 + 15*d - 15. What is the remainder when b(10) is divided by (12/(-18))/((-3)/54)? 11 Suppose 6*r + 416 = 2*j + 2*r, -5*j + 1004 = 2*r. Calculate the remainder when j is divided by 104. 98 Let w(l) = -l**3 - 10*l**2 - l - 10. Let f be w(-10). Suppose 6*r + 2*j - 56 = r, f = -3*r + 2*j + 40. What is the remainder when 46 is divided by r? 10 Let t(p) = p**3 - 5*p**2 + 12*p - 26. Let o = 21 + -9. What is the remainder when t(6) is divided by o? 10 Let n be (2/(-4))/(2/(-20)). Suppose -5*z + 1 = n*t + 11, -10 = 2*z. Suppose -2*d = -t*d - 4*l + 3, 3*d = l + 61. What is the remainder when 74 is divided by d? 17 Suppose -2*u + 9 = 3, 0 = -q + 2*u + 18. Calculate the remainder when 13 is divided by 24/(-10)*(-80)/q. 5 Let b(j) = j**3 - 6*j**2 - 6*j - 1. Let i be b(7). Let f = i - 2. What is the remainder when 36 is divided by ((3 - f) + -18)*-1? 17 Let x(m) = m**2 - 8*m + 7. Let z be x(11). Let l = -12 + 16. Calculate the remainder when z/(-70) - 106/(-14) is divided by l. 3 Let s(f) = 9*f + 42. Calculate the remainder when s(3) is divided by 24. 21 Let t(d) = -d**3 - 2*d**2 + 7*d + 2. Let m(p) = 7*p + 10. Let l be m(-2). Calculate the remainder when 21 is divided by t(l). 3 Suppose -2*a - 3*a + 75 = 5*r, 4 = 2*r. Calculate the remainder when 141 is divided by a. 11 What is the remainder when 297 is divided by (-302)/(-12) + 48/(-288)? 22 Suppose 160 = 5*l - 2*n, -n + 4*n = -2*l + 45. What is the remainder when l is divided by 17? 13 Suppose -302 = -5*d + 178. Calculate the remainder when ((-9)/(-4))/(4/d) is divided by (-79 + 77)*(-38)/4. 16 Let s be -113 + 0/(15/(-3)). Let x = s + 162. Calculate the remainder when 194 is divided by x. 47 Suppose -14 - 36 = -5*n. Calculate the remainder when (192/5 - 1) + 800/500 is divided by n. 9 Suppose p = 2*d - 390, -3*d - 42 = -p - 626. Suppose -4*t + d = 66. Let o = -22 - -39. What is the remainder when t is divided by o? 15 Let a(w) = 12*w**3 + 3*w**2 + 2*w - 13. What is the remainder when a(2) is divided by 29? 12 Let y be (-8 + 189/18)*12/10. Suppose -2*x - 2*u + 30 = 0, x + 31 = 2*x - y*u. What is the remainder when x is divided by 12? 7 Suppose -61 = 3*g - 19. Let t be -28*(24/(-21) + 2). Let u = g - t. What is the remainder when u is divided by 4? 2 Suppose 0 = 3*c - 6, 0 = s - 2*c - 0*c + 84. Let t = 56 - s. Suppose 0 = 5*a - 2*x - t, x - 87 = -4*a + 14. What is the remainder when a is divided by 9? 8 Let n = 15 + -21. Let x be n/14 - 246/14. Calculate the remainder when 53 is divided by 27*-2*3/x. 8 Let m(k) = -127*k + 575. What is the remainder when 194 is divided by m(4)? 60 Let c(r) = 10*r + 26. Let h be c(-5). What is the remainder when -15*(10/h)/((-8)/(-32)) is divided by 13? 12 Let m = 21 - 1. What is the remainder when 60/(-8)*m/(-15) is divided by 9? 1 Suppose 5*c - 9 = 3*m, c = -0*m - 5*m + 13. Suppose 2*v - 9 = v + c*y, -5*y = -5*v + 95. Suppose -v = -2*q - 2. Calculate the remainder when q is divided by 4. 3 Let x be ((-18)/(-15))/((-4)/(-30)). Suppose 36 = -x*r + 135. Calculate the remainder when 53 is divided by r. 9 Suppose 4*b - 4*j - 48 = 0, 6*j - 5*j + 60 = 5*b. Calculate the remainder when 346 is divided by b. 10 Suppose -29*k + 150 = -24*k. Calculate the remainder when 1197/(-7)*1/(-3) is divided by k. 27 Suppose -82 = 3*y + y + 3*o, -8 = -4*o. Let s = y - -106. Suppose 4*l = 0, 0 = -5*p + 3*p + 5*l + s. What is the remainder when p is divided by 11? 9 Let h(g) be the third derivative of 5*g**2 + 0*g + 1/24*g**4 + 0 + 0*g**3. Calculate the remainder when 23 is divided by h(5). 3 Let p = 57 + -96. Calculate the remainder when 155 is divided by 505/13 - 6/p. 38 Suppose 0 = -2*l - 4*u + 60, 4*l + 63 = 7*l - 3*u. Calculate the remainder when l is divided by 23. 1 Suppose -m - 9 = -2*m. Let k = 93 - 82. Let h = k - -6. Calculate the remainder when h is divided by m. 8 Suppose 5*m = 2*y - y + 7, 4*m = 4*y - 4. What is the remainder when ((-15)/(-6) + m)*2 is divided by 3? 0 Let x = 3 + 362. What is the remainder when x is divided by 61? 60 What is the remainder when 324 + 80/24*(-3)/(-2) is divided by 44? 21 Let o be ((-2 - -2) + (-1)/(-1))*0. Suppose g - 132 - 159 = -3*u, o = -2*u - 4*g + 204. What is the remainder when u is divided by 14? 12 Suppose -4*i + 5*o + 103 = 0, 99 - 8 = 4*i - o. Let f = 83 + i. Calculate the remainder when f is divided by 36. 33 Suppose 10*y - 8*y - 29 = 3*r, r + 53 = 4*y. Let u = -40 + 115. What is the remainder when u is divided by y? 10 Let l = -37 - -31. Let o(j) = j**2 + 8*j + 18. What is the remainder when 17 is divided by o(l)? 5 Let w = 528 + -521. Let y(t) be the third derivative of -t**6/120 + t**5/6 - t**4/2 + 5*t**3/2 + t**2. Calculate the remainder when y(w) is divided by 20. 18 Let n = -39 + 69. Let k(l) = l**3 + 13*l**2 + 20*l - 5. Suppose 2*i = 4*z + 34, 4*z + 43 = i + 4. What is the remainder when n is divided by k(z)? 13 Let p(r) = -24*r - 1. Let y be (72/16)/((-2)/(-8) - 1). What is the remainder when p(y) is divided by 18? 17 Suppose 0 = -14*y - 76 + 1602. Calculate the remainder when 1741 is divided by y. 106 Suppose 0 = 33*n + 55*n - 34320. What is the remainder when n is divided by 56? 54 Suppose 4*a - 112 = -0*a. Suppose 2*x - 12 = -5*k + x, k = -x + 4. Suppose -a = k*q - 4*q. What is the remainder when 26 is divided by q? 12 Let v = -36 + 51. What is the remainder when 6/(-33) + (-288)/(-11) is divided by v? 11 Suppose 0 = -94*d - 35*d + 13932. Calculate the remainder when d is divided by 14. 10 Let r(q) = -q**3 + 13*q**2 + q + 7. What is the remainder when r(11) is divided by 29? 28 Let f(y) = -y + 9. Let c be f(6). Suppose s + c*l = -l + 2568, -4*l = -2*s + 5172. Calculate the remainder when s/54 - (-2)/9 is divided by 25. 23 Let p(u) = 9*u. Let l be p(3). Suppose -5*k + 113 = -l. What is the remainder when (-446)/(-4) - 1/2 is divided by k? 27 Let l = -236 + 289. What is the remainder when l is divided by 18? 17 Suppose 2*b - 16 + 6 = 0. Let i = 58 - -14. Suppose t - i = -4*v, -v + 1 = -0*t - 4*t. Calculate the remainder when v is divided by b. 2 Let c(f) be the second derivative of f**4/12 - 5*f**3/3 - 5*f**2 + 25*f. What is the remainder when c(-3) is divided by 12? 5 Suppose 0 = -3*w - x - 0*x + 46, -4*w + 3*x + 70 = 0. Let d(h) = -h**3 + 15*h**2 + 18*h - 23. What is the remainder when d(w) is divided by 3? 0 Let z be 6/27 - (-102)/27. Suppose -48 = 4*i - 2*i - 3*m, 5*m = z*i + 94. What is the remainder when 9 is divided by (-5)/20 + i/(-4)? 4 Suppose -4*x - 10*m + 324 = -14*m, 0 = 2*x + 3*m - 137. Calculate the remainder when x is divided by (-10)/8*(-8 - 8). 16 Suppose 609 = 5*t + 4*w, -2*t + 36 + 207 = w. What is the remainder when t is divided by 37?
{ "pile_set_name": "DM Mathematics" }
culate (10935/90)/27*(-11 + 3858/351). -1/26 Calculate (-16 - -22) + (-98)/245*3980/266. 2/133 What is the value of (-160)/20*(3/(-15) - (-492)/2160)? -2/9 What is the value of 23700/2925 + (-12)/(-2)*(-48)/36? 4/39 88/(-24) + (10/90*-2)/((-40)/30) -7/2 Calculate (1 + (-124)/(-12))/(6 + -6 + (-26)/39). -17 What is the value of (11 - (-588)/(-54)) + ((-5460)/(-3000))/((-18)/10)? -9/10 -87 + 38 + -32 + 43 -38 Calculate -2*24/(-30) - ((-112)/(-350))/(6/1305). -68 ((-112)/20)/(-4) - ((-5)/4 - 3117581/(-1269140)) 6/31 Calculate 826/164 + (-7 - -9*((-400)/90)/(-20)). 3/82 Evaluate 16/(-756) - ((-5225)/399 - -13) - (-1618)/27. 60 What is (-2469)/(-225) + (-84)/10*3400/2380 + 1? -2/75 Calculate 15/210*-8 - ((-1752)/364)/6. 3/13 (166/(-4))/(1846/(-3692)) 83 -7 - (-3 - -18) - (-58 - (-22080)/615) 4/41 What is the value of 19795/10*892/16502? 107 What is the value of (-37)/(2904/240*(-7)/(-77) + 1/(-10))? -37 Evaluate 3294/1830 - 582/340. 3/34 Calculate (45 - 3) + (-349304)/11148. 32/3 What is -6 + -2 - (-6 + 7)*13? -21 ((-2 + 3/6)*2)/((-3)/59) 59 What is the value of (6/(-108) + 168190/(-1980))/(-1)? 85 What is the value of (-1 - -8)*(-4 - (-75)/21)*(-119)/(-17)? -21 Calculate ((-96)/(-18) + -6)/((3/837)/((-4)/24)). 31 What is the value of (-513 - -369) + (-8)/(-6)*(-228)/152? -146 Evaluate (7768/(-4855))/(3 - 843/285). -38 2940/539 - (-27510)/462 65 What is 4075/978*18/5*3? 45 Evaluate (-21 - 6195/(-236))/((-4)/(-18) - (-119)/72). 14/5 Evaluate ((-700)/112)/(90/72) - (-1 + -19 - 0). 15 What is the value of (-12)/(-21) - (-2)/10*81*(-6)/126? -1/5 Calculate 1560/(-2860) + (-169)/(-88). 11/8 What is the value of 122736/490944 - (105/8)/(117/(-6))? 12/13 Evaluate (73/(-14) - (-97 - -91))*4. 22/7 What is (-507)/4732 - (-450)/2632? 3/47 (390/(-13))/(19 - 22) 10 What is the value of 15*(3 + -13 - 218*57/(-1235))? 12/13 70090/(-1720) - (-15)/4 -37 What is (-1 - 8) + (1274/1144*36 - 31)? 1/11 (16962/242 - 70)/(-5 - 57/(-6)) 2/99 (-7400)/888*12/(-30) 10/3 What is 90 + ((-4)/12*65 + 22)/((-2)/(-6))? 91 What is ((-200)/(-20) - -3) + 25? 38 What is -7 + 4/18*(-132)/((-528)/70)? -28/9 Calculate (-24 - ((-333)/(-60) + 4056/3380))/((-2)/8). 123 Calculate 6/(-10) - ((-454)/(-10) + (-19 - -34)/15). -47 ((-61)/(4880/32))/(92/5)*(0 - -2) -1/23 Evaluate (-491)/14 + ((-23220)/(-1512))/215. -35 What is (-73 + (-2580)/(-60))*(-44)/(-11)? -120 What is 70/90*(-1)/7*420/(-455)? 4/39 What is the value of 488/(-2013)*(-11)/(132/45)? 10/11 Evaluate 16*-2 - (88 + 3130966/(-26093)). -2/269 Evaluate (-36)/40 - (-786534)/(-8540). -93 Calculate 24/360*-18*550/33. -20 Evaluate 7/(-2*1 + 3) + 290672/(-43208). 3/11 What is the value of 79/((-26939)/(-21204)) + 10/(-55)? 62 What is the value of (-4)/13 + (27115/(-221) - -179)? 56 What is the value of (-544)/(-2584) + 35464/(-589)? -60 (-126)/5187*190/(-30) 2/13 What is (9/384*32)/((-21)/14)? -1/2 What is the value of (-53 + (-23716)/(-448))/1? -1/16 What is (-1170)/(-2340)*(108/3)/1? 18 Calculate 125 - (-31488)/(-224) - (1 + -28). 80/7 What is the value of 28/(-882) - ((-14)/(-1568)*-4)/((-9)/(-27980))? 111 What is the value of 10/(-12)*(8/3 - 1 - 2848/10680)? -7/6 Calculate ((-378)/(-22) + (-1368)/152)/(477/(-3498)). -60 Evaluate (-105)/(-3045) + 940/(-348) - 679/21. -35 What is (37 + -1 - (-65712)/(-1813))/((-6)/(-21))? -6/7 (-417 + 1125180/2700)*390/(-4) 26 What is (((-162)/45)/18)/2*48/280*7? -3/25 Evaluate ((1*-2)/(-74))/((-181)/(-4706)*-13). -2/37 Calculate (-2144)/(-3752)*(-2 - 5). -4 Calculate 1/((-12)/66) + (9 - (-16 - 8 - -29)). -3/2 (9 - 7) + ((-5)/25)/(8/400) -8 What is the value of -47 + 69 + -5 - -1? 18 Calculate (21/(-4))/((-1242)/48 + 25). 6 Calculate (520/91 + -4)/(-4 + 830/210). -36 (6864/(-234))/11 + 4/48*(-32)/(-28) -18/7 (4/(-30))/((24/(-15) - (-35676)/2835) + -11) 42/5 Evaluate (-60)/(-14)*(31 + (-13182)/845). 66 -18 - 416/(-320) - 6/20 -17 What is (4 - 3 - 2) + (-3*(-9)/(-27) - 17)? -19 Calculate ((-269)/10491)/((-9)/18). 2/39 What is (-1 + -2)/((-4332)/14212 - (-12)/33)? -51 Evaluate (-324)/15 + (-14)/133 + 17940/1482. -48/5 Evaluate (45 - 29) + 1030/2250*-35. -1/45 Calculate (260678/1148 - 227) + (-559)/(-14). 40 What is -11 + (9 - -4) - 161/84? 1/12 (232 - 257) + (-198)/(-6) 8 Evaluate ((-1846)/(-568) - ((-1 - -1) + 3))*640/(-23520). -1/147 (21/(-9))/((-12)/144*(-21)/(-45)) 60 What is 28/(-2)*6/(-36)*(-46 + 49) - 55? -48 (-14)/(-12)*(22 - (-1028640)/(-46760))*-6 -2/167 What is the value of (-4)/(-68) + (-707)/(-119) + 2/(-4)? 11/2 Calculate 4/9 + (600/(-648))/((-17)/(-6)). 2/17 Evaluate 146795/3925 + 4*3/(-30). 37 Evaluate (-375)/(-50)*(-1264)/120. -79 What is the value of (380520/1085)/(-9) + 39? 1/31 Evaluate -5 + (-3)/14*(16 - (6792/144 + -9)). -1/4 Evaluate -15 + 5 + 20 + (-2275)/35. -55 Evaluate 199 + 5 + -117 + -6. 81 Evaluate (-3)/((-39)/(-127)) + ((-4221)/67 - -73). 3/13 What is the value of ((-9 - 35) + 42)*4/14? -4/7 What is 12/45 - (-3400)/2550? 8/5 Evaluate 250/(-100)*(-24)/7410 + -2 + 2. 2/247 Evaluate (-4761)/436563 + 180/(-2565). -3/37 What is 23/(-6)*5968/(-17158)*(-18)/92? -6/23 Calculate (-1 - -4) + ((-10)/3)/(8007/(-14130)) - 9. -2/17 What is the value of 12/8 + (-18668)/(-520) + -37? 2/5 Evaluate (63704/(-10160788))/((1 - (1 - 1))*6/(-33)). 1/29 Calculate -3*76/12 + 6/2 + (96 - 87). -7 What is the value of 16 + ((-18)/(-4))/(4/(-56))? -47 What is the value of -3 - -416*(-453)/4832? -42 222/(-96)*(189 - 173) -37 What is the value of (2 + (-5 - (-319)/58) + (-7)/2)*29? -29 What is (3515/(-3885) + (-4)/(-3))/5? 3/35 What is the value of (-59)/369 + (24424/5822)/86? -1/9 Calculate (8 + 714/(-294)*28/6)/((-2)/(-21)). -35 Calculate (1/(-7) - (-56498)/3731)/(10/(-12)). -18 Calculate 2*((-7 - -37) + -57). -54 Calculate (6/(-15))/((-2)/(-10)) - (19591/(-137) + 260). -119 (-15)/10*(-13080)/436 45 Evaluate 153/(-3876)*1159 + 51. 21/4 What is the value of -31 + (-26474)/(-366) - 37? 13/3 What is the value of ((-190)/(-8455) + (-113)/1068)/(8/6)? -1/16 Calculate ((-2880)/(-90 + 45))/(-1 + 2 + 1). 32 What is the value of ((-54)/63)/(162/336) + (-1 + 4 - 1)? 2/9 What is the value of 7/(168/(-5))*75/(600/(-224))? 35/6 -25 + ((-49)/(-3)*(-612)/714 - -2) -37 What is the value of (97/(-6984))/(2/3)? -1/48 ((-3290)/940)/((-14)/44) 11 Evaluate ((-9)/((-90)/(-8)))/((-872)/(-1308)). -6/5 What is 0*(-1 - 2/(-10)*10)? 0 What is the value of 106 - (-1026)/228*64/(-12)? 82 What is the value of 665660/(-7470) - (3/(-6) + 28/72)? -89 (-745)/(-140) - 30303/(-9324) 60/7 (25300/(-27600))/((-4)/6) 11/8 Calculate (2/((-14)/3) - (32 + 56088/(-1512)))/(-4). -7/6 What is (28/231)/(((-71712)/(-913))/(-108))? -1/6 Calculate 205/(-23370) - 34165/3990. -60/7 Evaluate (144 + (-25848)/180)*90/16. 9/4 What is the value of 29/35 + -40*153/(-10200) + -2? -4/7 What is the value of ((-14)/4)/(3724/64904)? -61 Evaluate (((-2125)/10)/(-17))/((-10)/12 - (-24)/72). -25 Calculate -111*((-14)/(-63) - 12/(648/30)). 37 ((0 + (1 - 2))*2/30)/((-22704)/15136) 2/45 Evaluate (-6)/(-45) - 6/15 - 651955/(-1355550). 3/14 What is the value of (10736/6344)/(24/273)*-4? -77 Calculate (-13 + 3600/272)/(75/9 - (-70)/(-10)). 3/17 Evaluate (-14860)/(-32692) - 2356/(-44). 54 -1*(-8)/3 - (15/12)/(3430/(-5488)) 14/3 What is (-4)/((-56)/(-210))*((-210)/(-126))/(2/6)? -75 What is (-7)/((-14)/15)*((-27972)/185)/42? -27 Evaluate (-4342257)/61308 + (-10)/8 - (-3)/39. -72 What is -10 + (-3 - (1 + -3))*0 + 49 + 12? 51 What is (35 + 32234/(-923))*169? 13 Evaluate (-4179)/(-1194)*(-16)/(-182). 4/13 What is the value of (9/2)/(((-60)/(-24) + 2)*(-2)/78)? -39 Evaluate (1/((-8)/44)*(-310)/55)/(-1). -31 81396/(-8568)*18/19 -9 Evaluate (-81)/36*((-724)/12 + 47). 30 Calculate (-7299)/2628 - -1 - 350/(-12775). -7/4 Evaluate (-4004)/2772 + 21/(-14)*(-7)/((-21)/(-2)). -4/9 What is ((-788)/(-3152))/((-1)/104)? -26 Calculate 56/35*(-7310)/(-344). 34 Evaluate (93 - -2) + 23/299 + 12100/715. 112 Evaluate (104/(-18))/(372470/(-98595)). 26/17 What is (-76)/18 - (-112 - -38 - -72)? -20/9 What is the value of (4 - ((-475)/(-30) - 5)/(80/32))*105? -35 5/(-60)*(2394/462 + -5 + (-36)/561) -1/102 Calculate (-3)/(-12) + -38*3/(-24) - (-1189 + 1200). -6 What is 9/(-6)*(99750/855)/(7/5)? -125 What is (-768550)/28315 - (-16)/14? -26 Calculate -16 + 7 + ((-25)/(700/(-16)) - (-1210)/14). 78 What is
{ "pile_set_name": "DM Mathematics" }
et f = s - 0.39. Let z = 1/31 - 65/93. Which is the third smallest value? (a) z (b) f (c) -4 b Let o = 12.322 - 30.322. Which is the third biggest value? (a) -0.1 (b) o (c) 1/5 (d) 0.4 a Let j = -15.0285 + 15.011. What is the third biggest value in j, -6, -4? -6 Let p = -0.5 - 1.5. Let u be (16 + -15)*-7 + 0 + 216/30. Let n = 2/15 - 4/5. Which is the smallest value? (a) u (b) p (c) n (d) -3 d Let q = -3/10 + 1/2. Let u be (28/(-294))/(8/14). Which is the third smallest value? (a) q (b) 4 (c) 9 (d) u b Suppose -7 = 2*r + 5, -2*r - 32 = 4*p. What is the second smallest value in p, 0, -3, 0.06, -16/9? -3 Let z = 1.17 + -1.77. Let i = -3 + 3.2. Let g = i + z. Which is the third smallest value? (a) -5/2 (b) 3/7 (c) g (d) 1 b Let t be ((-30)/(-12))/((-35)/(-56)*6). Let r be ((-6)/5)/(3/(-10)). Let c be (4/(-6))/(r/(-30)). What is the second smallest value in t, -2, c? t Let n = -8.9 + 8.813. Let j = 0.487 + n. Let s = 0.2 + 0. What is the smallest value in j, s, -0.5? -0.5 Suppose -3*a = -2*n - 80, 6 = 4*n - 2. Let r = -38138 - -38141. What is the third biggest value in -0.5, a, r? -0.5 Let u = -0.1 - -0.08. Suppose 5*f = b + 64, -5*b + 0*f = f + 346. Let d be (-9)/(-15) + (-3 - b/35). What is the third smallest value in u, d, 5? 5 Let u(p) = -2*p**3 + 52*p**2 + 54*p - 3. Let v be u(27). What is the third biggest value in v, -0.22, 5/4? v Let g = 0.02 - -0.38. Let j = -1.4 + g. Suppose 0 = -4*n - 10 + 2. What is the second smallest value in 0, j, n? j Let s = 9 - 8.8. Let j = -7 - -7. Let u = 13 - 12.5. Which is the fourth biggest value? (a) u (b) s (c) j (d) -1 d Let r = -2.7688 - -2.34. Let y = r - 0.0712. Which is the third biggest value? (a) -3 (b) y (c) -3/23 (d) -0.4 b Let w be (-7)/(-5) - (131/(-10) + (14 - 1)). Suppose -4*t = 2*a - 42, -2*t = 4*a + 2*t - 96. Let v be 2/(-7)*(0 + 1). What is the biggest value in w, a, v? a Suppose -3 + 13 = 2*y. Let p = -43.981 - -43.681. Which is the second smallest value? (a) 0.18 (b) p (c) -2 (d) y b Let j be (-8 + 12)*(-1)/14. Suppose 9*y - 12*y - 3591 = 0. Let q be 4/1 + y/301. Which is the third biggest value? (a) j (b) -5 (c) q b Let v = 16582045/5890551 - -265/6079. Let j = 48/17 - v. Suppose 9 = -4*y - 11. What is the smallest value in -3, j, y, 5? y Let u = 0.323 + -0.023. Let o = u - 0.5. Let j = -10.3 - -10. What is the third biggest value in 1/9, 3, o, j? o Let a = -294 - -295. What is the fourth biggest value in a, 3, -16, 5, 2? a Suppose -b = 5*k + 2*b - 45, 2*b = -4*k + 38. Let p be ((-12)/8)/((-81)/k). Let s be 160/12 + (-2)/6. What is the second biggest value in s, 4, p? 4 Let l be 6/((-2 - -3)*-2). Let p = 0.129 - -0.271. Let a be 1 + 81/(-21) + 3. What is the second smallest value in p, a, l, -3/2? -3/2 Let s = 5.345 - 2.745. What is the second biggest value in -1/4, s, -0.6? -1/4 Let p = -219.7 + 215.7. What is the third biggest value in 2, p, -2/549? p Let b = 2660 + -2659.8. What is the second smallest value in -4, 0.3, b, 2, 1? b Let u = 141873 + -141878. Let m = -5 - -5.4. Let z = 0 - m. Which is the biggest value? (a) u (b) -2 (c) z (d) 2/11 d Let l = -342 - -343. Let i be 1331*(-2)/20 - 2. Let t = i + 135. Which is the smallest value? (a) -0.5 (b) l (c) -5 (d) t c Suppose 42 = -3*k - 4*w, -40 = 5*k - 3*w + 1. Let v be (4/k)/((-108)/(-90)). Which is the smallest value? (a) -1 (b) -5 (c) v (d) 15 b Let u = 2765.5 + -2765. What is the biggest value in -3, 317, u? 317 Let n = -1 + 6. Let c = 12/235 - 578/2115. What is the second biggest value in 4, n, c? 4 Suppose 5*u + 35 = 70. Suppose u*s + s = 104. Let v = -0.44 + 0.24. Which is the smallest value? (a) -5 (b) s (c) v a Let f = -83298.739 - -83356. Let b = 0.261 - f. What is the second smallest value in -2, b, 2/9? -2 Let q be 3/(-7)*((-847)/33)/11. Let h be (-392)/(-1056) + (-2)/8. Let p = -16/11 + h. What is the third smallest value in q, p, 1/3? q Let j = 169869.7 + -169870. Suppose -3*l + 34 = -2. Which is the biggest value? (a) j (b) l (c) -2/25 (d) 1 b Let v = 338 + -342. Let p be v*(61/10 + -6). What is the second smallest value in 4, 0, p, 0.2? 0 Let s = -681 - -302. Let x = -379.09 - s. Which is the second biggest value? (a) -0.3 (b) x (c) 0.2 b Let y(i) = i**3 + 84*i**2 + 610*i + 17. Let m be y(-8). Let l = 0.4 + -0.2. Let q = 0.1 - l. What is the third smallest value in -2/9, m, 0.3, q? 0.3 Let d = 3.5 - 3. Let w = 811 - 1186. Let m = 374.6 + w. Which is the smallest value? (a) 2/21 (b) d (c) m c Suppose 10*p + 5 = -5*j + 5*p, 0 = 5*j + 4*p + 2. Let x be j*(-1 + 4 - 84/27). Let t = 6 + -6.3. What is the third smallest value in x, t, 2, 5? 2 Let q = -14/15 + 3/5. Let w be (-8 - -10)/((-2)/3) - (-102 - -103). What is the third biggest value in 1, q, w? w Let k be 156/84*(-7)/12. Let z = -5/6 - k. Let l = 2.71 + 0.29. What is the biggest value in z, l, 0.5, 4? 4 Let g = -40.9 - -43.9. Let d = -1.968 - 0.032. What is the biggest value in 0.1, 2, d, g? g Let o = -21 + 104. Let a(b) = -174 + 80 + o - 8*b. Let c be a(-3). What is the biggest value in 2, c, 1/7? c Let g = -23.66 - -18.66. What is the fifth biggest value in 0, -12, 1.8, g, -0.5? -12 Let h = -183.51 + 183.11. Which is the smallest value? (a) 2/9 (b) 404 (c) h (d) 0.5 c Suppose -9*n + 54*n = -61*n + 318. Which is the fourth biggest value? (a) -6/5 (b) 5 (c) n (d) -1613 d Suppose -1207*x = -1208*x - 170. Let m be (0 - 1) + x/(-136). What is the second smallest value in -0.3, 2/3, 4, m? m Let x(f) = -28*f**2 - 4*f - 5. Let w be x(-2). Let y = w - -761/7. Let h = -11.7 - -10.6. Which is the biggest value? (a) h (b) y (c) -3 b Let a be (1 + (-12)/42)/(2 - (-120)/(-42)). Let i = -6 - -8. What is the fourth biggest value in a, i, 0.5, 1? a Let l = -633.096 - -632.996. Let v be 68 + (-1 - 0)/1. What is the third smallest value in -1/7, l, v? v Suppose -t + 3*x - 12 = 0, -3*t + 4*x + x = 20. Let q be (-4)/(t + 3 + -2). Let k be -3 - 1 - ((-492)/44 - -7). What is the smallest value in 0, q, k? q Let u = 0.2 + -0.4. Let j = u + -0.8. Let v be (-11 + 5)*(-13 + 570/45). Which is the third biggest value? (a) j (b) 1/4 (c) v a Let r = 102.85995 - -0.14005. Which is the second smallest value? (a) -0.3 (b) 4 (c) r (d) -0.36 a Let s = 1595 + -1594. What is the second biggest value in -8/7, -2/9, s, -9? -2/9 Let w = 24.7 - 19. Let o = 59 - 53.2. Let g = o - w. Which is the second smallest value? (a) 0.2 (b) g (c) 4 a Let y = 1015 - 126876/125. Let s be (-3)/4 - (-8306)/7000. Let v = y + s. Which is the third biggest value? (a) 1 (b) 13 (c) v c Let z = 1 - 7. Let j = 0.01 + -4.01. Let r = -3677 - -3681. What is the second biggest value in r, z, j? j Let s = 3.47 + -3.34. Let b = s + -0.19. What is the second biggest value in -2, b, -5? -2 Suppose -71*r = 2*r + r - 148. What is the third biggest value in r, -1/2, -4/33, 27? -4/33 Let t = -3309 - -3518. Which is the second smallest value? (a) -5 (b) 1/3 (c) 0.07 (d) -0.1 (e) t d Let r(h) = -h**2 - 9*h - 37. Let o(a) = -a**2 + a. Let f(u) = 2*o(u) - r(u). Let c be f(14). Let q = -17 + 16.3. What is the second biggest value in q, 3, c? q Let q = -7.854 + 0.054. Let o = -0.4 - q. Let h = 7.8 - o. Which is the second biggest value? (a) 0 (b) h (c) -2/3 a Let u be (6/(-507))/(123/(-1599)). Which is the second biggest value? (a) u (b) -3/4 (c) 224 a Suppose 5*l - 1627 = -8*c + 9*c, 0 = 4*l + 2*c - 1296. Let k be 13/(l/30) + (0 - 0). What is the third biggest value in 1, 0.05, 1/4, k? 1/4 Let m be (2 - 1)*0/5. Suppose m = -10*g + 7*g. Let d(y) = y**2 - 42*y + 296. Let v be d(33). Which is the smallest value? (a) -7 (b) g (c) v a Let x = -2135 - -2135.1. Let z be 27/(-35) - 4/(-20). Which is the second smallest value? (a) 2 (b) x (c) z b Let n = 628 - 594.1. Let i = n - 33.9. What is the biggest value in 4, -3, i, 3? 4 Let u be 14/42 - (-60)/9. Suppose 0*z + 56 = -u*z. Which is the fourth biggest value? (a) -3 (b) z (c) -2 (d) 0 b Let c = -234 + 252.1. Let z = c - 25.1. What is the fourth biggest value in -1/4, z, -5, 3/2? z Let v be 20*((-60)/40)/((-1)/2). Let p = 2 + -1. Which is the third smallest value? (a) 2 (b) v (c) 0.3 (d) p a Let k = -0.632 - 11.368. Let l = 8 + k. Which is the second smallest value? (a) -0.1 (b) l (c) 0 a
{ "pile_set_name": "DM Mathematics" }
) - 6*o(i). Suppose 3*p - 4*b = 2*p - 1, -1 = p - 3*b. Let l be p + 3 + 28 + -25. What is h(l)? 14 Let j(h) = h**3 - 6*h**2 + 6*h - 3. Let z be 39/65 - (-34)/10 - 0. Determine j(z). -11 Let f(k) = -2*k**3 + k**2 + 5*k + 10. Let l be f(-2). Suppose 17*d = l*d + 24. Let t(p) = -p - 3. Determine t(d). 5 Suppose 1 + 9 = 5*s. Let c(f) = -f**3 + 0*f**2 - 4*f + 6*f**s - 2*f**2 + f**2 + 1. Suppose -12 = 5*v - 32. Calculate c(v). 1 Suppose -30 = 3*a - 4*m, a - 2*m = 6*a + 24. Let y(l) = -2*l - 3. Determine y(a). 9 Let p(t) = -11*t - 76 + 3*t + 5*t - 2*t - t. What is p(-14)? 8 Let b = 41 + 6. Suppose 0 = -51*m + b*m + 4. Let n(s) = -8*s**2 - 2*s + 1. Calculate n(m). -9 Let c(w) = w**2 - 5*w + 5. Suppose t + 4 = -3*t, -2*m = 5*t - 31. Suppose 11*z - 8*z = m. Give c(z). 11 Let p be ((-2)/8)/((-2)/40). Suppose -2*h - 32 = -0*q - q, h - 2 = p*q. Let b = -15 - h. Let n(t) = t**3 - 4*t**2 + 3*t. Determine n(b). 0 Let a(c) = -149*c - 3 + 300*c - 154*c. Give a(3). -12 Let z(n) = -n**2 - 14*n + 42. Let p be z(-17). Let i(u) = u**3 + 8*u**2 - 10*u + 6. Give i(p). 15 Let q(x) = -1 - 2699*x - x**2 + 2699*x + x**3 + 4*x**2. What is q(-4)? -17 Let r(d) = -14 + 9*d - 3*d - 2*d + 0*d - 5*d. Give r(-13). -1 Let h(n) = 21*n**2 - 2*n - 1. Let x = 67 - 71. Let g be -2 + x/(-20)*5. Give h(g). 22 Let d be (-15)/10*(-12)/(-9) - -2. Suppose 0 = -q - d*q, 8 = s - 4*q. Let c(p) = -5*p + 11. Give c(s). -29 Let n be 4 - (0 + -2)*10. Let w(j) = n*j - 2 + 14 - 21*j. Give w(-9). -15 Let y(j) = -j**3 + 7*j**2 + 9*j - 1. Let z be y(8). Let g = z - -5. Let s(w) = -33*w - 1 + 11*w - g*w**2 + 20*w. Calculate s(-1). -11 Let f(p) = -2*p - 12. Let n be f(-5). Let i(u) be the second derivative of -u**3/2 - u**2/2 + u - 22. Give i(n). 5 Let x = -26 + 46. Suppose -11*f = -6*f - x. Let s(v) = -v**3 + 5*v**2 - 6*v + 4. Calculate s(f). -4 Let b(h) = -11*h**3 + h**2 + 3*h + 1. Let k(t) = 3*t**3 - t**2 - 1. Let r(f) = b(f) + 4*k(f). Give r(2). -1 Let r(w) = -213*w**3 - 212*w**3 - 2*w**2 + 420*w**3 + 2*w + 0*w + 4*w**2. Give r(2). -28 Let m(x) be the third derivative of -x**3 - 1/60*x**5 + 0*x + 4*x**2 + 5/24*x**4 + 0. What is m(4)? -2 Suppose -r + 4 + 2 = 0. Let s(w) = 19*w**3 - 23*w**2 + 3*w + 5. Let z(x) = -22*x**3 + 26*x**2 - 4*x - 6. Let f(a) = -7*s(a) - 6*z(a). What is f(r)? -17 Let r(d) = -2*d + 6*d + 4*d**2 - 2*d + 3*d**3 + 4 - 2*d**3. Suppose i = -20 + 8. Let p(h) = h**2 + 12*h - 3. Let f be p(i). Calculate r(f). 7 Let f(r) = -r**2 - 4*r - 4. Let h be f(-4). Let y(j) = -18*j - 13. Let k(p) = -3*p - 2. Let d(b) = -7*k(b) + y(b). Give d(h). -11 Let v(w) = 13*w**3 + 21*w**2 - 3*w - 44. Let o(s) = -7*s**3 - 11*s**2 + 2*s + 23. Let n(f) = 11*o(f) + 6*v(f). Determine n(-5). -31 Let m(c) = -13*c - 6. Let g(t) = -12*t - 1. Let f(s) = -8*g(s) + 7*m(s). Calculate f(8). 6 Let x(f) be the second derivative of f**7/2520 + f**6/144 + f**5/20 - 8*f**4/3 - 24*f. Let g(b) be the third derivative of x(b). What is g(-4)? 2 Let j(h) = 11*h - 2. Suppose 0 = 9*v - 98 + 80. What is j(v)? 20 Suppose -6*t = -t - 55. Let a(u) be the third derivative of -u**4/8 + 5*u**3/2 - 7*u**2 - 303. What is a(t)? -18 Suppose -y + x + 12 = 6*x, -2*y + 11 = -3*x. Suppose d - 2*k - 12 = 0, 5*d = 2*d - k + 1. Let z(o) = -14*o + 4*o**2 - 4*o**2 - 7 + 9*o + o**d. Give z(y). 7 Let h(n) be the first derivative of -n**4/4 - 4*n**3/3 + 3*n**2 + 9*n - 277. Determine h(-5). 4 Let v be -6*(-224)/216 + (-2)/9. Let p(g) = 2*g + 3. What is p(v)? 15 Let w(a) = -a**3 + 4*a**2 - a + 3. Let y be w(4). Let f(p) = -1. Let g(k) = 2*k - 6. Let s(c) = y*g(c) + 4*f(c). Give s(2). -2 Suppose 0 = 5*h + 5*f + 25, -h + 4*f - 4 = 6. Let u(q) = -q**2 - 7*q - 8. Give u(h). -2 Suppose 0*j - 3*j = -6. Suppose 0 = o - 3*o - j. Let f(c) = -3*c**2 + 10*c - 4. Let s(w) = w**2 - 3*w + 1. Let z(h) = 2*f(h) + 7*s(h). Calculate z(o). 1 Let y(d) = d**2 + d + 7. Suppose 0 = -67*h + 72*h - 55. Let j = h + -11. Calculate y(j). 7 Suppose -9 = y + 6. Let x be 9/2*10/y. Let c(o) = -o**2 - 5*o - 2. Let m(f) = f**2 + 5*f + 1. Let r(l) = x*m(l) - 2*c(l). Give r(-4). 5 Let l be 4/6 - 12/(-9). Let t(v) = -3 + v**2 + 3 + 1. Let y(h) = -2*h**2 + h - 5. Let j(s) = l*y(s) + 6*t(s). What is j(-3)? 8 Let s(q) be the third derivative of -q**6/120 + 7*q**5/60 - 5*q**4/24 + q**3/3 + 4*q**2 - 7*q. Give s(6). 8 Let x(a) = a**3 + 11*a**2 - 12*a - 3. Let l(y) = -y**3 - 11*y**2 + 12*y + 4. Let c(j) = 2*l(j) + 3*x(j). Determine c(-12). -1 Let f(b) = -5*b + 15. Let a(l) = 5*l + 16. Let p(v) = -2*v - 8. Let y(m) = -4*a(m) - 9*p(m). Let u(k) = 3*f(k) - 7*y(k). Determine u(-9). -2 Let l(m) be the third derivative of -m**4/24 + m**3 - 223*m**2. Determine l(-3). 9 Let b = 32 - 32. Suppose -3*g + 2*x - 4*x = -21, x = b. Let h(o) = -4*o - 3*o - 1 + o**2 + 5. Give h(g). 4 Let n(o) = -5*o. Let u be n(1). Let d = u + 8. Let h(c) be the first derivative of c**4/4 - c**3/3 - 3*c**2/2 - 4*c + 1. Calculate h(d). 5 Let y(k) = -k**3 + 6*k**2 + 7*k - 4. Let n be y(7). Suppose r + 1 - 3 = 0. Let o(f) = 3*f**r - f + f**2 - 4*f - 5 - 5*f**2. Determine o(n). -1 Let g(n) = -n**2 - 8*n + 2. Let q be g(-6). Let d(a) = q - 5*a - a**2 - 18 - 2*a - 3*a. Determine d(-10). -4 Suppose -j - 42 = -2*s - 6*j, -s = 3*j - 22. Let w = 4 - s. Let t be -4 + 14 - w/(-3). Let i(v) = -2*v + 6. Determine i(t). -6 Let w(i) = i**2 + 3*i - 2. Let h = 16 - 10. Suppose -m + h + 9 = 0. Suppose -3*f = -m, -l - f - 7 = -2*f. Determine w(l). -4 Let n(l) be the second derivative of l**4/12 - l**3 - 2*l**2 - 10*l. Let f = 20 - 15. Calculate n(f). -9 Suppose 10 = -50*r + 55*r. Let g be (-9)/(-7) - (r - (-36)/(-21)). Let y(m) = -19*m. Calculate y(g). -19 Suppose -9*f + 18*f - 54 = 0. Suppose 4*l - c = 4 + 1, 5*l = -3*c + 19. Let q(j) = -f + 4 + 5*j**3 + l - j. Calculate q(1). 4 Suppose -3 = -3*t + w, 4*t - 1 = 2*w + 1. Let u(f) = f**3 - f**2 - 1. Give u(t). 3 Suppose f - 5*o = -2*o - 1, -3*o = 4*f - 71. Let b(m) = -m**2 + 11*m + 8. What is b(f)? -34 Let g(b) = b**3 + 780*b**2 - 1 + 3 + 3*b - 3 - 774*b**2. What is g(-5)? 9 Let i be 0 + 4/(7/(-7)). Let s(v) = -v**2 - 2*v - 1. Calculate s(i). -9 Let p(z) = -2*z + 25. Let m be p(11). Let k(l) = 0 - l - 14 - m + 0. What is k(-7)? -10 Suppose 4*j + n = 3, -4*n = 3*j - 2*n - 6. Suppose 12*u - 7*u + 25 = j. Let x(c) = c**3 + 4*c**2 - 5*c - 5. What is x(u)? -5 Suppose 3*t = -4*u + 67, -4*u + 3*u = 4*t - 98. Suppose -5*s + t = 0, -5*c - 15 = 2*s - s. Let j(r) = -r - r**2 + 0*r**2 + 2*r**2 + 4 - 2*r**2. What is j(c)? -8 Let n = 197 + -197. Let y(b) = -b**2 - b - 9. Calculate y(n). -9 Let y(a) = 7 + 11*a + 286*a**2 - 567*a**2 + 282*a**2. Calculate y(-7). -21 Let y(s) = -4 + 1 - 1 + 3. Let n(d) = -d - 8. Let h(a) = n(a) - y(a). Let k = -6 + -1. Give h(k). 0 Let v be -17 + 21 - 2/1. Let r(j) = -11*j. Give r(v). -22 Let h(w) = 7*w + 5. Let j be 2 + -5 + (1 - -3). Let q(v) = v + 1. Let z(f) = j*h(f) - 5*q(f). Determine z(-1). -2 Let p = -112 + 70. Let y be (-8)/6*63/p. Let m(q) be the second derivative of -q**5/20 + q**4/6 - q**3/3 + 3*q**2/2 - q. What is m(y)? -1 Let f(q) = 8*q**2. Let a be 30/(-25)*(-1)/2*135. Let r = a - 82. Give f(r). 8 Let x(y) = 4*y**3 - 5*y**3 + 0*y**2 - 6*y + 2*y**2 - 4 - 7*y**2. What is x(-4)? 4 Let x(h) = -h**3 + 7*h**2 - 9*h + 6. Let c(m) = 19*m + 63. Let y be c(-3). Calculate x(y). -12 Suppose -13 = -6*j + 5. Let c(s) = -1 - 43*s + j*s**3 - s**3 + 41*s - 2 + s**2. Calculate c(-2). -11 Let c(l) = -9*l**3 - 4*l**2 + 2*l - 4. Let g(q) be the second derivative of q**4/12 + q**2/2 - 31*q. Let s(u) = -c(u) - 5*g(u). Calculate s(-1). -9 Let x(b) = 18*b - 8. Let p(m) = -m + 3. Let q(z) = 2*p(z) + x(z). Determine q(1). 14 Let d(r) be the third derivative of -r**6/120 + 13*r**5/60 - r**4/24 + 4*r**3/3 - 2*r**2 - 11. Determine d(13). -5 Suppose 4*w - 5*n - 27 = 0, -23 = -3*w + 2*n - 8. Let b = -9 + w. Let h(g) be the first derivative of g**2/2 + 4*g - 23. Determine h(b). -2 Let l(d) = 2*d**2 - 2*d - 2. Suppose 15 = 4*g + 3*y + 68, 3*g - 3*y = -66. Let t = g + 15. What is l(t)? 10 Let i(u) = -8*u + 1. Let c be 1*(4 - (2 - -1)). Suppose 5*g - 12 = 4*d - 1, 4*d - g = c. Let w be i(d). Let y(l) = l**3 + 8*l**2 + 9*l + 10. Determine y(w). -4 Let o(a) = a**3 - 10*a**2 + 2. Let r = 249 - 239. Give o(r). 2 Suppose 0 = -5*x - 5*r - 10, r - 3*r - 9 = 3*x. Let q(d) = -d**3 - 6*d**2 - 5*d - 5. Give q(x). -5
{ "pile_set_name": "DM Mathematics" }
/(sqrt(72)/(sqrt(45)/sqrt(5)*4)). -48*sqrt(19) - 2 Simplify 2 + sqrt(245) + -3 + sqrt(245) + 3*(sqrt(245) + -1 + sqrt(245) + sqrt(245))**2 + 3. -112*sqrt(5) + 6620 Simplify ((-3 + -5 + -4*sqrt(833) + sqrt(833))*1 - (2 + 3 + -1 + sqrt(833)*-4))**2. -168*sqrt(17) + 977 Simplify -3*((sqrt(180) + 2*(-1 + sqrt(180)) + sqrt(180) + sqrt(180) + 3 + 3 + 4)**2 + 3). -13701 - 1440*sqrt(5) Simplify (((sqrt(832) - (5 + -3 + sqrt(832))) + 0)*5*-4 + 5)**2. 2025 Simplify ((5*sqrt(544) + (-1*sqrt(34) - sqrt(34))*-3)*-6)/((sqrt(72)*-2)/(sqrt(225)*3)). 585*sqrt(17) Simplify 3*(-3 + (5 + sqrt(252) + -2)**2 + (-5*sqrt(196)/sqrt(4))/(-1*sqrt(847))). 1203*sqrt(7)/11 + 774 Simplify (-2*((-4 + sqrt(176)*-1 - -3*(sqrt(176) + 0)) + 2 + 1*-2*sqrt(176)))**2*-2. -32 Simplify ((1*sqrt(125) - (sqrt(5) + -1 + sqrt(5))*3) + 1)**2 + 0 - (5 + (sqrt(20))**2 + sqrt(5) + 3 - sqrt(45)/(-1*sqrt(576))). -73*sqrt(5)/8 - 7 Simplify (-3*6*sqrt(832))**2*1 - (-3 + (sqrt(104) + -1*sqrt(104)*3)/sqrt(2))**2. -24*sqrt(13) + 269351 Simplify 2 + ((sqrt(500)*-1*-3)**2 + -1*sqrt(500) + -1 - (-3 + 1 + sqrt(500) + ((-2 + -1 + sqrt(500))**2 - sqrt(500)))). 50*sqrt(5) + 3994 Simplify (-5 + sqrt(32) + sqrt(32) + sqrt(72)*-3 + 4 + sqrt(200) + (sqrt(2) - (sqrt(8) + -5)))**2 + -2. -8*sqrt(2) + 16 Simplify (sqrt(114)*-1*5 + (2*sqrt(114) + sqrt(114))*-4)/(sqrt(6) - (sqrt(24)/(sqrt(4)*-2) - sqrt(6)) - sqrt(72)/(sqrt(24)/sqrt(2))). -34*sqrt(19)/3 Simplify (5*(1*(sqrt(500)*-1 + 5 - (sqrt(500) - (2 + (-1 + sqrt(500) - sqrt(500)) - sqrt(500)))) + -2 + 2)*-3)**2. -81000*sqrt(5) + 1020600 Simplify (-6*1*sqrt(440))/sqrt(10) + (6*(sqrt(539) + 0 + sqrt(539))*-4)**2 + -1. -12*sqrt(11) + 1241855 Simplify ((((-1*sqrt(77) + sqrt(77) - sqrt(77) - sqrt(77) - sqrt(77))*-5 + sqrt(77))*1)/(sqrt(448) + sqrt(448) + 3*sqrt(448)*5))**2. 44/289 Simplify -4 + ((2*(sqrt(143) - 4*sqrt(143)) + sqrt(143))*1)/((sqrt(110) - -2*sqrt(110)*2)/sqrt(10)). -4 - sqrt(13) Simplify (2*sqrt(228)*-1 - (sqrt(228) + (sqrt(228) - (sqrt(228) + sqrt(228)*1*1))))/((sqrt(240)/sqrt(4))/sqrt(5)*-3). 2*sqrt(19)/3 Simplify -5*(-6*(sqrt(175) + (sqrt(175) - (3 + 0 + sqrt(175)) - sqrt(175)) + -5*(-1 + sqrt(175)) - 1*(-2 + -2 + sqrt(175))))**2. -1140480 + 64800*sqrt(7) Simplify (3 + 2 + ((-3 + sqrt(76))*-5)**2 + sqrt(76))*1*6. -1788*sqrt(19) + 12780 Simplify ((2*(sqrt(450) + (sqrt(450) - -2*sqrt(450)*-2) + sqrt(450) + sqrt(450) - sqrt(450))*-6)/(-4*(sqrt(120)/(sqrt(48)/sqrt(4)) - sqrt(360)*1)))**2. 81/5 Simplify (3 + (-3*(1 + sqrt(245)) - (1 + sqrt(245))*3) - ((1*(0 + sqrt(245) + sqrt(245)) + sqrt(245))**2 + -5)*-5)*-3. -32991 + 126*sqrt(5) Simplify (-6*(sqrt(891) + 0) + -6*sqrt(891)*-4)**2 - (sqrt(891) + -2 + (sqrt(891) - (1 + sqrt(891)))**2 - (-3 + sqrt(891) + 4)). 288686 Simplify ((1*(sqrt(315) + (sqrt(315)*-2 - sqrt(315))*-4))/(sqrt(50)/(3*sqrt(160)))*6)**2. 55194048 Simplify (-5*(sqrt(1539) + 0))**2 + -5 + sqrt(1539) + 0 + (sqrt(1539) - (1 + sqrt(1539) + 2) - (sqrt(1539) + sqrt(1539) + -1 + 0 + sqrt(1539)))**2. 117*sqrt(19) + 52325 Simplify (sqrt(2448) + -1 + 1 + -5 - (5 + sqrt(204)/(sqrt(12) - (sqrt(12) - sqrt(108)*5)))) + -3. -13 + 179*sqrt(17)/15 Simplify ((sqrt(220)*1*-1 - sqrt(220)) + -2*sqrt(220)*1 + sqrt(220))/(1*sqrt(396)*2*5). -sqrt(5)/10 Simplify (-1*-5*((sqrt(15)/(sqrt(20)/sqrt(4)) + (sqrt(108)*-2 - sqrt(3)) - (sqrt(63)/sqrt(63))/sqrt(3)) + 5))**2*-1. -36100/3 + 9250*sqrt(3)/3 Simplify (-5 + -1 + sqrt(891) + -1 + -3 + (sqrt(1584) + -5 + -2*sqrt(1584) - sqrt(1584)) + 5)**2. 300*sqrt(11) + 2575 Simplify 6*((-3*(sqrt(128) + (sqrt(128) + -2)*-1))**2 + (sqrt(128) + -2 + 1 + 2)**2). 96*sqrt(2) + 990 Simplify 3 + -2 + sqrt(108) + 2 - sqrt(30)/(sqrt(10) + (-2*sqrt(100))/sqrt(10) - sqrt(10))*-6. 3 + 3*sqrt(3) Simplify -5 + (-2*sqrt(2430)*-2*1)/(((sqrt(66)*-2 + sqrt(66))*1)/(sqrt(11)*2*2)). -144*sqrt(5) - 5 Simplify (6*((1*sqrt(600) + sqrt(600) - sqrt(6)) + sqrt(6) - sqrt(960)/sqrt(10)))/((sqrt(48)/(1*sqrt(8)))/(sqrt(9)/(sqrt(3) + sqrt(12)/sqrt(4)) + sqrt(3))) + 0. 144*sqrt(3) Simplify 3 + 0 + -5 + (sqrt(30)/(sqrt(40)/sqrt(4)) - (sqrt(108)*-3 - sqrt(3))). -2 + 20*sqrt(3) Simplify (((-3 + sqrt(11)*5 + 0 - (sqrt(275) + (-1 + sqrt(275) - sqrt(275)) + 2 + sqrt(275))) + 0)**2 + 0)*-4. -1164 - 160*sqrt(11) Simplify 6*(5 + (sqrt(500)/(sqrt(10)*5))/(sqrt(40) - sqrt(40)*-5))*6. 3*sqrt(5)/5 + 180 Simplify 5*(0 + -1*(-2 + (1 + sqrt(300) - sqrt(300))**2 + sqrt(300) + sqrt(300) + (-4*(sqrt(300) + 0))**2 + 4)). -24015 - 100*sqrt(3) Simplify ((-5*3*(0 + sqrt(128))*-4 - (5 + -1*(sqrt(128)*2 + -3 - sqrt(128))))*1)**2. -7808*sqrt(2) + 476352 Simplify -3*(-5 + (sqrt(20)/sqrt(4))**2 + sqrt(5) - sqrt(5))*2 + ((sqrt(320)*-1 - sqrt(320))*4 + -4)**2 + -2. 512*sqrt(5) + 20494 Simplify (((sqrt(90)*-6 - sqrt(90)) + sqrt(90))*-3 + sqrt(90) + sqrt(90) - sqrt(90))/((sqrt(2592) + sqrt(32))/sqrt(4)). 57*sqrt(5)/20 Simplify (1*(-1 + sqrt(605) + -5))**2 - 1*((sqrt(320) + 3 + sqrt(320))*6)**2. -45763 - 3588*sqrt(5) Simplify 3*-4*(sqrt(119)/(sqrt(847)*-4 + sqrt(847) - sqrt(847)) + (sqrt(2057) + 2 - (sqrt(170) - sqrt(170)*1)/sqrt(10)))*5. -7245*sqrt(17)/11 - 120 Simplify (-6*(sqrt(1100) - (1 + sqrt(1100))) - (sqrt(1100) + (-2*sqrt(1100) - sqrt(1100)) + 2) - (4*(2*sqrt(132) - sqrt(132)))/(sqrt(108)*-1 - sqrt(108)))**2. 496*sqrt(11)/3 + 42428/9 Simplify ((sqrt(288)*-1 - sqrt(288))/sqrt(32))/(sqrt(48)/sqrt(6)*6 + sqrt(512) + sqrt(512)*1). -3*sqrt(2)/44 Simplify (sqrt(128) + sqrt(128)*-2)*-3 + -1 - (-6*(sqrt(98) + 0 + sqrt(98) + sqrt(98) - sqrt(98)) + 4)**2. -14129 + 696*sqrt(2) Simplify (((sqrt(304) + 5*(sqrt(304) + 2))*5*6 + -3)**2 + 2)*-6*6. -357761196 - 15396480*sqrt(19) Simplify (5*(2 + (-1 + sqrt(99))*-3*-4*-2)*4)**2*-1. -23080000 + 1497600*sqrt(11) Simplify (3*(-4*(1 + sqrt(500)))**2*2 - (-6*(1 + sqrt(500)) + 2 + -1*sqrt(500))**2) + -2. 1360*sqrt(5) + 23578 Simplify ((sqrt(204) + sqrt(204)*-3)*-5)/sqrt(12)*6 + (-3*(-4 + sqrt(119)/sqrt(7) + sqrt(17))*-6)**2. -5124*sqrt(17) + 27216 Simplify -4 + -5*(sqrt(208)*1)**2*-5*4*1 + 5. 20801 Simplify ((sqrt(88)/sqrt(4)*-5 + (sqrt(132)*2)/sqrt(6))/(sqrt(1584)*2*-1))**2. 1/32 Simplify 5*(3 + (sqrt(171) + 2)*-6 + ((sqrt(76) - 1*sqrt(76)*1)/sqrt(4))**2). -90*sqrt(19) - 45 Simplify -3*(5 + (0 + (sqrt(1800)*-1)**2)*6 + -1). -32412 Simplify (sqrt(63)/sqrt(81))**2 + sqrt(77)/(1*sqrt(11)) - -1*-1*sqrt(567)*1. -8*sqrt(7) + 7/9 Simplify 6*((2 + (-3*sqrt(567)*-2)/(sqrt(9) + sqrt(1296) + -1*sqrt(1296) + sqrt(9)))**2 + 2)*-1. -3438 - 216*sqrt(7) Simplify -5 + (sqrt(28) - 4*sqrt(84)/sqrt(3))/((sqrt(36) - sqrt(4))*6 - sqrt(4))*-2*-2. -5 - 12*sqrt(7)/11 Simplify ((-4*sqrt(850) + sqrt(34) - sqrt(34))/(sqrt(128)/sqrt(4)) - ((sqrt(2057) - (sqrt(2057) + 0 + sqrt(2057))) + -4)**2*4)*6. -49752 - 2142*sqrt(17) Simplify ((-3 + -3*((-2*sqrt(288) - sqrt(288)) + -5) + (1 + sqrt(288) + 4 - sqrt(288)) + sqrt(288) + sqrt(288)*1 + -1)*-3)**2. 38016*sqrt(2) + 315936 Simplify (1*(sqrt(1377) + sqrt(1377) + -1 + sqrt(1377) + 1 - sqrt(1377)*1*-1) - (-3*(-1*sqrt(1377) + -3 - sqrt(1377)) + -3))**2. 216*sqrt(17) + 5544 Simplify (-1*sqrt(500) + -5 + (1*sqrt(720))/sqrt(576) + 2)**2*-6. -5523/2 - 342*sqrt(5) Simplify -2*(-1 + (3*sqrt(196))/sqrt(7) - (3 + -6*4*sqrt(343))**2). -2028*sqrt(7) + 395156 Simplify ((sqrt(1300) + 1)*2 - (sqrt(1300)*-2*2 - sqrt(1300)) - (sqrt(1300)*2 + -2 + 0 + 0 + sqrt(1300)))**2 + -1. 320*sqrt(13) + 20815 Simplify 3*((1*sqrt(250) + sqrt(250) + sqrt(10))/((sqrt(28)/sqrt(2))/sqrt(7) + sqrt(2)) + (5*sqrt(110)/sqrt(2))/(6*sqrt(22)/sqrt(2)) + 0)**2. 1805/3 Simplify (1*1*sqrt(65) + sqrt(65) - -3*-1*sqrt(65))/((sqrt(150)/(sqrt(5)*-1))/sqrt(6)). sqrt(13) Simplify -3 + (((-1*sqrt(208)*-1 - (sqrt(208) + sqrt(208)*-2)*-1)*4)**2 - (-5 + (sqrt(13) + sqrt(117)*-4)**2 + 5*sqrt(26)/sqrt(2) + sqrt(13) + -5)). -1566 - 6*sqrt(13) Simplify (6*1*sqrt(130)*-4)/(sqrt(60)/sqrt(150) - sqrt(90)/sqrt(36))*-1. -80*sqrt(13) Simplify (sqrt(15) + sqrt(60)/(4*sqrt(4)) - sqrt(15))/(2*sqrt(605)) - (-1*(0 + sqrt(3) + -1 + 5))**2*-6. 4225*sqrt(3)/88 + 114 Simplify ((1*sqrt(171) - sqrt(171))*2 - (sqrt(171) - -1*(sqrt(171)*1 + sqrt(171)) - sqrt(171)))/((sqrt(225) + -5*(sqrt(225)*2 - sqrt(225)))*6). sqrt(19)/60 Simplify (-1 + (sqrt(1573)*-4 - sqrt(1573)))**2 - ((1 + sqrt(1573))**2 + 4) - (4*(sqrt(1573) + -2 + 4)*-2)**2. -63180 - 2728*sqrt(13) Simplify (sqrt(242) - ((sqrt(242) + 1)*-2)**2)*2 + -3 - ((4
{ "pile_set_name": "DM Mathematics" }
n) = 10*n - 2*n**3 + 4*n**2 + 50 - 54 - 6*n. Determine w*p(b) + 4*v(b). 2*b**3 Let g(j) = -j + 1. Let l(u) = 26*u**3 - 5*u + 6. Give -6*g(o) + l(o). 26*o**3 + o Let i(o) = -19*o - 10. Let k(s) = 37*s + 19. Let m(b) = 5*i(b) + 3*k(b). Let c(p) = 5*p + 2. Calculate 7*c(a) - 2*m(a). 3*a Let v(i) = -9*i**3 + i - 2. Let b(l) = 37*l**3 - 3*l + 9. What is 2*b(q) + 9*v(q)? -7*q**3 + 3*q Let b(v) = 56*v + 10. Let p(d) = -11*d - 2. Calculate 2*b(i) + 11*p(i). -9*i - 2 Suppose 3*s = -s + 4. Let q(i) = -i + 1. Let g(l) = 7*l - 7. Determine s*g(h) + 6*q(h). h - 1 Let s = -13 + 11. Let o(x) = 7. Let k(m) = m - 1. Let l(h) = -3*k(h) - o(h). Let b(d) = d + 1. What is s*l(p) - 7*b(p)? -p + 1 Suppose -v = -5*y + 35, -3*y - y = -2*v - 22. Let x(f) = -y*f - 2 + 6*f + 1 + f**2. Suppose 7*i - 2*i + 20 = 0. Let l(n) = n. What is i*l(t) - 2*x(t)? -2*t**2 + 2 Let p(a) = -3*a**2 + 35. Let c(o) = o**2 - 12. What is 17*c(t) + 6*p(t)? -t**2 + 6 Suppose 2 = -o - 5. Let n(z) = 3*z - 5. Let t(p) = -4*p + 7. Determine o*n(i) - 5*t(i). -i Let o(k) = 5*k**2 - 2*k + 4. Let c = 95 - 50. Suppose -5*p - c = -5*r, 2*p = -2*p + r - 24. Let n(j) = 4*j**2 - 2*j + 3. Calculate p*o(y) + 6*n(y). -y**2 - 2*y - 2 Let m(g) = 21*g + 17. Let t(q) = 7*q + 6. What is 4*m(f) - 11*t(f)? 7*f + 2 Let g(x) = -10*x**3 - 5*x**2 + 5*x + 5. Let k(b) = b**3 + b**2 - b - 1. What is 2*g(t) + 10*k(t)? -10*t**3 Let z(a) = -a**2. Let i(u) = -u**2 + 2*u - 3. What is -i(l) + 2*z(l)? -l**2 - 2*l + 3 Let w(s) = -4*s**3 + 2*s**2 - 3*s - 2. Let x = 3 - 1. Let o be 38/(-6) + x/6. Let k(t) = 23*t**3 - 11*t**2 + 17*t + 11. What is o*k(z) - 34*w(z)? -2*z**3 - 2*z**2 + 2 Let y(s) = -s**2 + s. Let r(x) = -5*x**2 + 4*x. What is -5*r(a) + 20*y(a)? 5*a**2 Let y(p) be the first derivative of -23*p**2/2 - 3*p - 1. Let t(g) be the third derivative of -g**2 + 0 - 1/6*g**3 - 1/3*g**4 + 0*g. Give 17*t(h) - 6*y(h). 2*h + 1 Let q(c) = -51*c**3 + 34*c**2 + 34*c - 34. Let z(y) = -y**3 + y**2 + y - 1. Calculate q(b) - 34*z(b). -17*b**3 Let t(b) = 2*b**2. Let x(y) = -5*y**2. Suppose 68 = -5*r - 52. Let a be -2*4/(r/(-9)). Calculate a*x(o) - 8*t(o). -o**2 Let g(z) = -12*z**3 + 3*z**2 + 3*z - 3. Let a(y) = 12*y**3 - 4*y**2 - 4*y + 4. What is 3*a(f) + 4*g(f)? -12*f**3 Let f(j) = -2*j**2 + 18*j + 1. Let y(x) = -x. Calculate -f(u) + 2*y(u). 2*u**2 - 20*u - 1 Let g(u) = 18*u**3 + u + 1. Let k(o) = -o**3 - o - 1. What is -g(c) - k(c)? -17*c**3 Let t(y) = 14*y**2 + 8*y + 32. Let d(s) = -5*s**2 - 3*s - 11. Give -8*d(o) - 3*t(o). -2*o**2 - 8 Let z(w) = -2*w**3 + 9*w**2 - 2*w + 1. Let c(h) = -h**3 + 4*h**2 - h. Determine -5*c(g) + 2*z(g). g**3 - 2*g**2 + g + 2 Let u(o) = 8*o**2 - 5*o - 1. Let t(m) = -m**2 + m. Give -5*t(j) - u(j). -3*j**2 + 1 Let y(o) = 5. Let u be (-13)/3 - (-4)/12. Let l(g) = -g + 6. What is u*l(v) + 5*y(v)? 4*v + 1 Let v(l) = 9*l**2 - 7*l + 5. Let u(j) = -5*j**2 + 4*j - 3. Let x = -50 + 55. What is x*u(k) + 3*v(k)? 2*k**2 - k Let d(v) = -v**3 - 2*v**2 + 3*v - 3. Let m(f) be the second derivative of -f**5/20 - f**4/4 + 5*f**3/6 - 5*f**2/2 + 4*f. Calculate 5*d(p) - 3*m(p). -2*p**3 - p**2 Let l(c) = 7*c + 8. Suppose 39 - 15 = -3*k. Let g = k + 9. Let o be 2/(-4)*(-11 - g). Let x(y) = 6*y + 7. Determine o*x(r) - 5*l(r). r + 2 Let q(z) = 3*z**3 + 6*z**2 - 5*z + 1. Let t(l) be the second derivative of l**5/20 + l**4/12 - l**3/6 + 57*l. What is -q(j) + 6*t(j)? 3*j**3 - j - 1 Let t(d) = 7*d - 8. Let n(h) = -20*h + 23. Calculate -6*n(q) - 17*t(q). q - 2 Let z(l) = -9*l - 15. Let g(v) = -5*v - 8. Give 5*g(c) - 3*z(c). 2*c + 5 Let g(i) = -1. Let b(j) = -j + 3. Determine -b(h) + g(h). h - 4 Let o(f) = -4*f + 3. Let y = -8 - -9. Let i = y + 2. Let n(m) = 3*m - 2. Calculate i*n(g) + 2*o(g). g Let y(l) = 5*l**2 - 3. Let b(m) = 20*m**2 - 11. What is 6*b(v) - 22*y(v)? 10*v**2 Let i(m) = 14*m**3 + 2*m + 2. Let o(v) = -27*v**3 - 5*v - 5. What is 5*i(l) + 2*o(l)? 16*l**3 Let n(v) = v**2 - v + 1. Let y be -3 - (-1 + 2)*-1. Let s(c) = 2*c**2. Give y*s(t) + 2*n(t). -2*t**2 - 2*t + 2 Let v(o) = 5*o + 6. Let n(b) = 4*b + 5. Suppose -3*w - 14 = 4. Give w*n(h) + 5*v(h). h Let m = 0 - -4. Suppose -m = -a - 5*w + 2, 4*w = -2*a + 12. Let h(j) = 8*j + 7. Let q(n) = -n - 1. Give a*q(g) + h(g). 2*g + 1 Let k(l) = l + 4. Let a = 3 + 3. Suppose -5*j + 3*r + a = 0, 0*j = j - 2*r + 3. Let v(o) = -2*o - 9. What is j*v(y) + 7*k(y)? y + 1 Let q(m) = -12*m - 22. Let z(o) = -o - 2. What is 6*q(v) - 68*z(v)? -4*v + 4 Let p(j) = -j**2 + 3*j + 5. Let w(n) = 3*n + 4. Calculate 2*p(t) - 3*w(t). -2*t**2 - 3*t - 2 Let n(k) be the third derivative of k**6/10 - 11*k**5/60 + 11*k**4/24 + 11*k**3/6 + 17*k**2 - 2. Let g(y) = -y**3 + y**2 - y - 1. Calculate 44*g(c) + 4*n(c). 4*c**3 Let l(b) = -40*b**2 + 14*b**2 - b**3 + 12*b**2 + 13*b**2 + b. Let r(p) = 7*p**3 + 5*p**2 - 2*p. Calculate 5*l(z) + r(z). 2*z**3 + 3*z Let g(b) = b**2 + 2*b + 2. Let j(x) = 7*x**2 + 11*x + 9. Let v(i) = -i**2 + 1. Let h(k) = j(k) + 2*v(k). Determine -11*g(u) + 2*h(u). -u**2 Let f(r) = 2*r - 3. Let z(i) = 0 - 2*i + 6 + 3*i. Let u be z(-5). Suppose 4*s + 2*q = 4, 0 = -3*s - 0*s + q + 13. Let l(c) = -c + 1. Determine s*l(n) + u*f(n). -n Let z(a) = -2*a**2 - 2. Let y = 2 + 1. Let w = -3 + 5. Let b(h) be the third derivative of h**5/30 + h**3/2 + 2*h**2. Calculate w*b(t) + y*z(t). -2*t**2 Let w(m) = -4*m**2 - 7*m - 3. Let p(k) = -3*k**2 - 6*k - 3. Calculate 3*p(i) - 2*w(i). -i**2 - 4*i - 3 Let z(o) = -1. Let x(p) = 2*p**2 - p - 4. Let b be -5*3/(-12)*4. What is b*z(y) - x(y)? -2*y**2 + y - 1 Let b(a) = 5*a**3 + 4*a**2 - 3. Let s(c) = 9*c**3 + 7*c**2 - 5. Calculate -7*b(z) + 4*s(z). z**3 + 1 Suppose -l = -2*l. Suppose l = -3*f - 17 - 10. Let c(k) = 3*k**2 - 2*k + 2. Let t(s) = 13*s**2 - 4 + 13 - 9*s + 0*s. What is f*c(z) + 2*t(z)? -z**2 Let p be (-46)/10 - 18/45. Let g(k) = -7*k + 1. Let o(u) = 4*u. Calculate p*o(q) - 3*g(q). q - 3 Let i(j) = -j - 1. Let v(x) be the second derivative of x**4/6 - x**3/3 - 3*x**2/2 + 2*x. Suppose 0*l - 3 = -3*l. Determine l*v(h) - 3*i(h). 2*h**2 + h Let b(h) = -5*h**3 - 2*h**2 + 2. Let o(y) = -5*y**3 - 3*y**2 + 3. Suppose 5*l = 2*z - 16, -15 + 3 = 2*z + 2*l. Calculate z*o(q) + 3*b(q). -5*q**3 Let k(n) = -5*n. Suppose -13*y + 9*y = 44. Let h(a) = -26*a. What is y*k(o) + 2*h(o)? 3*o Let k(b) = 2*b**3 + 6*b**2 + 4*b - 2. Let m(f) be the first derivative of f**4/2 + 5*f**3/3 + 3*f**2/2 - f - 3. What is -3*k(d) + 4*m(d)? 2*d**3 + 2*d**2 + 2 Let p(i) = -i. Let v(w) = 4*w + 1. What is -6*p(k) - v(k)? 2*k - 1 Let o(t) = -15*t + 3. Let s(b) = -b. Give o(n) - 9*s(n). -6*n + 3 Let r(v) = -6*v**2 - 4*v - 17. Let k(j) = j**2 + j - 1. Calculate 4*k(n) + r(n). -2*n**2 - 21 Let j(p) = -p + 2 + 2*p + 0*p. Let s(q) = -q. Determine j(w) + 2*s(w). -w + 2 Suppose -5*t + 31 = -5*g - 49, -3*t - 4*g + 13 = 0. Let m(j) = -2 + t*j**2 + 0*j**2 + 4*j**2 + 9*j. Let w(k) = 4*k + 1 + 1 + 7*k**2 - 3. Give 6*m(n) - 13*w(n). -n**2 + 2*n + 1 Let t(p) = p + 1. Let f(z) = 39*z**2 - 4*z - 4. What is -f(d) - 4*t(d)? -39*d**2 Let t(a) = -4*a**2 + 37*a - 2. Let i(j) = -21*j**2 + 184*j - 11. What is 2*i(c) - 11*t(c)? 2*c**2 - 39*c Let c(m) = 5*m**2 + 5*m - 4. Let a(f) = 6*f**2 + 6*f - 5. Suppose 4*t + 19 = 7. Let n be (-9)/t - (0 + -1). Suppose -n = -u - 0. Calculate u*a(g) - 5*c(g). -g**2 - g Let l(q) = -3*q**3 + 3*q**2. Let n(g) = 3*g**3 - 2*g**2. Let u(w) = w**3 - 10*w**2 + 10*w - 11. Let d be u(9). Determine d*l(o) - 3*n(o). -3*o**3 Let o(v) = -v. Let q(g) = 8*g - 3. What is 6*o(b) + q(b)? 2*b - 3 Let z(s) = 3. Let y(g) = -g - 1. Let r(j) = 2*y(j) + z(j). Let f(k) = 1 - 4 + 4 - k. Let d = 0 + 2. Determine d*r(n) - 3*f(n). -n - 1 Let i(r) = 6*r**2 - 4. Let k(y) = 5*y**2 - 3. Let v(j) = j**3 + 10*j**2 + 16*j - 4. Let x be v(-8). What is x*k(h) + 3*i(h)? -2*h**2 Let n(j) = 4*j**3 + 5*j**2 - 5. Let d(t) = 6 - 7*t**2 - 5*t**3 - 2*t**2 + 3*t**2 + 0*t**2. What is 5*d(a) + 6*n(a)? -a**3 Let f(g) = -3*g - g**2 + 3*g + 0*g**2 - 2 + g. Let y(h) = -h**2 - h. Let r be 3/2*8/12. What is r*f(m) + y(m)? -2*m**2 - 2 Let h(p) = -6*p**2 + p - 8. Suppose 2*y - y - s = 2, -y - 4*s + 17 = 0. Let j(o) = -5*o**2 + o - 7. Calculate y*j(v) - 4*h(v). -v**2 + v - 3 Let d(w) = w + 9. Let a(b) = 2*b + 9. Determine 3*a(t) - 4*d(t). 2*t - 9 Let h(r) = 2*r**2 - 3*r - 2. Let p(x) = 12*x**2 + x**2 - 11 - 3*x**2 + x**2 - 17*x. Give 34*h(y) - 6*p(y
{ "pile_set_name": "DM Mathematics" }
arest to 0 in 2, 2/3, o? o Let s = 1415/9 + -157. Let h = 2526 + -2530. What is the nearest to h in s, 5/2, 0? 0 Let u be -1*(-1)/(-5)*-3. Let l = 499 + -501. Which is the nearest to 0? (a) u (b) -1 (c) l a Let u = -4996/3 + 1667. Which is the nearest to -13? (a) -2/37 (b) u (c) 2/11 a Let r = 21 - 5. Let d be (6/(-9))/(r/6). Let i be 2/(-48)*15/10. What is the nearest to d in i, -2, 5? i Let k = 698/3 + -233. Which is the nearest to 2/3? (a) k (b) 0.05 (c) -0.5 b Let m = 2066/105 - 96/5. What is the nearest to 3/4 in m, 0.2, -2/7? m Let w = 0.09 - 0.29. Let g = 2.94 + 0.06. Which is the nearest to w? (a) g (b) -1/3 (c) 2 b Let i = 76 - 128. Let v = i + 52.1. Which is the closest to v? (a) 0.3 (b) 0 (c) 1 b Let f = -11.854 + 0.054. Let d = -12 - f. Let b = d + -0.2. What is the closest to -3/5 in -0.1, -4, b? b Let o = 303.8 + -280. Let s = o - 24. What is the nearest to -2 in 2/3, s, 1? s Let y = 1125 + -5623/5. What is the nearest to y in 2, 1/58, 4? 1/58 Let v = 223 - 222.5. What is the closest to 1/19 in v, -3, 0.2, 1/4? 0.2 Let g(p) = 7 + 2*p**3 + 30*p - 12*p - 11*p**2 - 14*p. Let n be g(5). Which is the closest to -2? (a) 0.2 (b) -1 (c) n b Let y = -32 - -25. Let l(p) = -p - 8. Let j be l(y). What is the nearest to -3 in 2/7, j, 1/5? j Let n = 6.24 - 6.64. Let k = 0.4 + -2.2. What is the nearest to k in n, 0.3, 3? n Let h = -1224 + 3674/3. Which is the closest to h? (a) 6/11 (b) 10 (c) 4 a Suppose r + x = 0, -2*r + 5*r - 3*x + 30 = 0. Let q = -2295 - -2295. Which is the nearest to 1? (a) r (b) q (c) 0.12 c Let g = -3 - -2. Let n = -5 + -3. Let z = n - -7. What is the nearest to z in -3/4, g, 5? g Let b = 4.5 - 3.2. Let o = b + 2.7. Let y be (-12)/(-5) + 3/5. What is the closest to 0 in o, 0.3, y? 0.3 Let o = 0.9 + -1.2. Let l = -62.5 - -62. What is the closest to -0.2 in -4, o, l? o Suppose 5*u - 3*u + 4 = 2*q, 2 = -u. Let w = 36 + -41. Which is the nearest to q? (a) w (b) 0.1 (c) 7 b Let y = -318/35 + 44/5. Let g = 31/10 - 18/5. What is the nearest to y in 3/4, 1, g? g Let p = -0.12 + 5.12. Let j = 2092753/74 - 28280. Let y = -2/37 - j. What is the nearest to y in -4, p, -0.2? -0.2 Let s = -101/192 - 9/64. What is the nearest to 4 in 0, s, -1/3? 0 Let g = -0.077 - 14.923. Let x = g - -14.8. Let z = 104/511 + 6/73. What is the closest to z in 1, 0.2, x? 0.2 Let r be 2/(-20)*(-258)/8. Let m = r - 18/5. Let d = 7512.8 - 7512. Which is the closest to d? (a) m (b) -0.5 (c) 3 a Let i = 475.82 - 458. Let s = -0.82 + i. What is the nearest to s in 0.5, 1, -0.5? 1 Let b = 200 - 204. Let p be (-32)/(-14) - (0 + 2). What is the nearest to 1 in -2, p, b? p Let j = -7888/17147 + -2/1319. Let o = 269.2 - 269.1. Which is the closest to o? (a) j (b) 0.3 (c) -4 b Let m = 26 - 10. Let f = 28 - m. Let j = -12 + f. Which is the closest to j? (a) 2 (b) -1/6 (c) 5 b Let h = -134.456 - 0.144. Let p = 135 + h. What is the closest to p in 1/5, -0.3, -1/4? 1/5 Let t = 718/5 + -143. Let z = -0.4 + -2.6. Let f = 0.116 - 0.016. Which is the nearest to f? (a) t (b) -1/6 (c) z b Let f = 71 + -71.01. Which is the closest to 4/11? (a) 1 (b) 0.4 (c) -2 (d) f b Let o be (-364)/308 + 2*(-2)/22. What is the closest to 1/5 in -1, -0.2, o? -0.2 Let w be (-52)/(-252) + 3 + (-24)/7. What is the closest to w in 37, -5, 0.3? 0.3 Let d = 44 + -42. Let j = -0.17 - 0.23. Which is the nearest to d? (a) j (b) -0.2 (c) -1/2 b Let c = -1.3 - -0.3. Let o = -14 + -6. Let d be (-7)/2 - o/5. What is the closest to c in d, -2/3, 1/5? -2/3 Let d be 0*(2 + -2 + -1). Let l = -0.08 - -0.11. Let t = 3.03 - l. Which is the nearest to -1/3? (a) t (b) 1 (c) d c Let b = 2.27 + -2.17. What is the closest to -1/2 in -0.5, -2, b? -0.5 Suppose 0*g = -4*g - 4. Suppose 12 = 3*m + 30. What is the closest to g in 0.4, m, 0.5? 0.4 Suppose -16 = -4*f - m, 0*f - 3*m + 21 = 3*f. Suppose -v = 2*r + 9, 2*r - 5*v = -0*v + 9. Let u be -2*7/(-42)*(4 + -3). What is the closest to r in f, -0.3, u? -0.3 Suppose 3*v - 2*k - 23 + 24 = 0, -4*k + 11 = -3*v. What is the nearest to 0.1 in -0.5, v, 0.03, 0.05? 0.05 Let p = 7.086 - 7. Let s = -0.186 + p. Let z = 3 - 0. Which is the closest to s? (a) 1/3 (b) z (c) -4 a Let j be (-1)/(-2)*(5 + -1). Let f = 12.3 + -11.8. What is the nearest to 0 in f, 2/19, j? 2/19 Let s = 535 + -536. Which is the nearest to s? (a) 2 (b) 1 (c) -4/3 (d) 0.5 c Let y = -0.296 + -3.704. What is the nearest to 1/2 in 3/7, y, -5? 3/7 Suppose 0*w + w - 4*b = 18, 11 = 2*w - 3*b. Let x = -34.8 + -10.2. Let d = 43 + x. What is the closest to d in -0.3, w, -1? w Let u be (2 - 9/5)*6. What is the nearest to 2/7 in 2/7, u, 1/2? 2/7 Let p = 0.422 - 0.422. What is the closest to -0.8 in 2, p, -2/7? -2/7 Let i = 462 - 923/2. Which is the nearest to i? (a) 0.5 (b) 0.2 (c) 11 (d) 0.4 a Let q = -148 - -147.9. Let t = -3.9 + 2.6. Let d = t - -0.3. What is the nearest to d in -1, q, 3? -1 Let w = 666/13 + -2625/52. What is the closest to -1 in -15, 3, w, -0.4? -0.4 Let p = 3 + -4. Let f be (-4)/(-6)*(-1683)/(-6). Let s = 1311/7 - f. What is the nearest to p in -1, -3/5, s? -1 Let t = -1.18 - -0.08. Let p = t - -0.1. Suppose 3*i = 12, 2*y + i + 3*i = 14. Which is the closest to y? (a) 5 (b) p (c) -5 b Let y = 127 + -21. Let k = 108 - y. Let w = 1.5 + -2. What is the nearest to -1 in k, -0.2, w? w Let y be 10/6 + -2 + 0. Let d(k) = -k**2 + 4 - k**3 - 6*k**2 - k**2 + 10*k. Let s be d(-9). What is the nearest to y in -1/7, -2/7, s? -2/7 Let g = -102 - -188. Let q = g - 85.8. Which is the nearest to 0.2? (a) 1 (b) q (c) 2/3 b Let t be 1/(4 - 15*6/18). Which is the nearest to -1? (a) -33 (b) -5 (c) t c Suppose -20 = -0*k + 4*k. Let p be (-42)/35 - (-12)/(-15). Let q(h) = h**3 - 2*h**2 - 2*h + 2. Let b be q(2). What is the closest to b in p, 0.2, k? p Let g = 1190 - 1189.35. Which is the closest to 1? (a) -0.5 (b) 0.2 (c) g (d) 2 c Let y = 63 + -62. Which is the closest to 1/5? (a) y (b) -0.1 (c) 5 b Let v = 19.6 + -15.6. Let y = -0.13 - -7.13. Let f = y - 5. What is the closest to 0 in 0.2, f, v? 0.2 Let v = -4.1 + 0.1. Let m = -75.91 - -76.11. What is the closest to -0.4 in v, m, 0.3? m Let n = 6 - 9. Let k = -0.06 - 3.94. Let g be 0/(10/(-14) + (-12)/42). What is the nearest to n in -0.3, k, g? k Let t be 96/(-20) + (-133)/(-35) + -4. What is the closest to -1 in 0.1, t, 2, 5? 0.1 Let n be (1 - -7) + -13 + 11/3. Which is the nearest to -2/3? (a) 1 (b) 0.5 (c) 25 (d) n d Let d(p) = -p**2 - 6*p - 11. Let m be d(-2). Which is the closest to m? (a) 0 (b) 4/3 (c) -1 c Let n = -277 - -279. Let j = 43 - 38. Which is the nearest to n? (a) 2/15 (b) j (c) 4 a Let a be (0/13 + 2)*3/(-66). Let c = -0.46 + 0. Let s = -0.06 - c. What is the closest to -0.1 in 1/3, s, a? a Let j = 67 - 466/7. Let x = 1281.8 - 1282. Which is the closest to -0.1? (a) -3 (b) j (c) x c Let g = 11.2 - 11.1. What is the nearest to g in -5, 24, -0.1? -0.1 Let g = 0.74 - -0.06. Let r = g - 0.5. Suppose 3*u - 3 = 3*n + 9, -n - 5*u = -26. Which is the nearest to 2/5? (a) n (b) 0.2 (c) r c Let k = -4 + 1. Suppose -5*j + 6*o - 2*o = -40, -5*o = -2*j + 33. Suppose 4*d = 5*c - 12, 3 = -4*c + j*d + 15. What is the nearest to 0.1 in k, 2, c? c Let f = 12 - 10. Let b = 1 + -1.4. Let l = b + 3.4. What is the closest to f in l, 0.2, 1/4? l Let f be (18/12)/((-9)/4). What is the closest to -1/4 in 1/2, f, -6, 0.3? f Let h be -1 + 3*(3/6 + 0). Let n be (-12)/210 + (-2)/(-10). Let u = -2.1 - -0.1. What is the nearest to 2/9 in n, u, h? n Let u be 2/10 + 2 + -2. Let v = 10.3 + -56.3. Let z = 46.3 + v. Which is the nearest to u? (a) 3 (b) z (c) -0.2 b Let r = 56.1 + -52. Let u = 4 - r. Which is the nearest to 1? (a) u (b) 5 (c) 2/3 c Suppose -8430*d + 42 = -8444*d. Let w be 1 + -1*1 + -1. Let p = -1 - 0. Which is the closest to w? (a) d (b) p (c) 4 b Let a = -228 - -223. Let q = -6.408 + 0.008. Let r = -6 - q. What is the nearest to r in -2, a, 0? 0 Let r be (-12)/(-3) + -3 + (-8 - -2). Which is the nearest to -0.2? (a) r (b) -4 (c) -2 (d) 0 d Suppose u - 11 + 6 = 0. Let p = 28 - 25. What is the closest to p in -2/13, 0.3, u? u Let a = 0.13 - 0.13. Let i(h) = h**3 - 3*h**2 - 3*h - 2. Let y be i(4). Suppose y = v + v. What is the nearest to v in 1, a, 3/7? 1 Let g = 0.
{ "pile_set_name": "DM Mathematics" }
t h = 150 - 184. Let y = h + k. Solve 2*l - y = -r, -5*l + 6*r + 13 = 2*r for l. 5 Let f = -145 - -150. Let t(y) = 5*y**2 + y + 1. Let z be t(2). Suppose -z + 3 = -f*c. Solve -2*n = -o + 3*o - 16, 27 = 3*o + c*n for o. 5 Let q = 1 - 1. Suppose 2*m - 4*m - p + 2 = 0, q = -3*m + p - 7. Let n(r) = -5*r**3 - 2*r**2 - 2*r - 1. Let i be n(m). Solve -9 = -s + 2*z, 4*z + 12 = -i for s. 1 Let y(r) = -r**2 - 7*r - 9. Let i be y(-3). Solve a - 5*n - 3 = 0, a + i = -2*n - 1 for a. -2 Suppose 3*v = v + 42. Suppose -w + 5 = 2*m, v + 5 = 5*m - 2*w. Solve -m*t + d + 18 = -d, -2*t = 2*d - 12 for t. 5 Suppose -5*o - 2*k + 4 = 0, 2 = -2*k - 4. Suppose o*w - w + 1 = 0. Let m be (w/(-1))/((-1)/(-5)). Solve m*n + 11 = g, 0*n = 2*n - 2*g - 2 for n. -3 Let g = -213 - -226. Solve 3*l + 7 = y, 2*l - 5*y = 3*l + g for l. -3 Let v = 14 - 11. Solve v*o = 5*k - 16, 3*k - 6*o = -o for k. 5 Let n(o) = -o**2 - o - 9. Let p be n(-4). Let u be (-12)/(-8)*(-28)/p. Solve -3*m - j + 0 = 3, -4*m - 6 = u*j for m. 0 Suppose -44*j + 10 = -42*j. Let l = 15 - 10. Suppose -i - l*s = 11, 32 - 88 = -4*i + 5*s. Solve k = -2*w - 2*w + i, -w = j*k - 7 for w. 2 Let d be (8/15 - (-4)/(-12))*20. Solve -10 = d*u + o, -4*u - 2*o - 4 = 8 for u. -2 Suppose -15*a = -12*a + 3. Let l = a + 32. Solve -2*r - 7 = -5*k - l, 2*r - 8 = k for r. 2 Let u be (0 + 0)/1*(-4 - -5). Solve u = 3*w + 5*x - 29, 0*x + 19 = w + 4*x for w. 3 Let u = 55 - 55. Suppose -2*p = -2 - 38. Let g = p - 11. Solve g = 5*j - h, 4*j + u*h = 4*h + 4 for j. 2 Let f = 78 + -76. Let j be (13/(-13))/(f - (0 + 3)). Solve 0 = 5*u + t - 6, 3*u + 2*t - j + 3 = 0 for u. 2 Suppose -14 = -2*o - 6. Suppose 5*u = o*u + 14. Solve 0 = -t + y, -5*y = 5*t - 3*y + u for t. -2 Let f(j) = j**2 + 5*j. Suppose t + 23 = -3*t + 3*h, 2*t + 11 = h. Let l be f(t). Solve -2*x - 3 = -l*b - b, 2*b - 2*x = 0 for b. -3 Suppose 18 = -4*t + 26. Solve t*m = -4*f, -4*f + 4*m = m + 10 for f. -1 Let n = -6 + 1. Let i(b) = 6*b + 6. Let t be i(n). Let p = -21 - t. Solve -5*r = 3*o + 18, -4*o - p*r - 12 = -o for o. -1 Suppose 4*g - 32 + 4 = 0. Suppose -5*v = -8 - g. Solve 2*z + 13 = v*z - 4*b, 3*b - 4 = -2*z for z. 5 Suppose 5*q = -25, g + 3*q + 14 = 2. Suppose g*x = 4*v - 17, v - 78 = 5*x - 27. Let m = 12 + x. Solve -b - 3 + m = u, -3*b = 4*u + 5 for u. 1 Suppose 0 = -16*s + 55 - 7. Solve 2*c + 2*r = 4*r + 2, -s*c = -2*r - 5 for c. 3 Let v be (-4 + 3)/(2/(-6)). Suppose 5*q - 10 = 0, v*o - 16 = 2*q - 4*q. Suppose -l - o*l = -25. Solve -5*k + 4*m = 18 - 1, 4*k + l*m = -30 for k. -5 Let w = 45 + -42. Suppose 5*z - 2 = w. Solve -n - 4*c = -2 - z, c - 17 = 3*n for n. -5 Suppose k = 3*k - 6*k. Solve -f + 3*j = k, -4*f - 2*j = -j for f. 0 Let f(u) = -1 + 0 + 0 + u. Let y be f(5). Let i be (-84)/45 + 4 + (-2)/15. Solve -18 = 5*x - 0*x + y*v, v = -i for x. -2 Let b be ((-5)/(-3))/(15/18). Let l = -11 + 16. Suppose -5*z + 20 = -4*v, l*v + 2*z = z + 4. Solve v = 5*o - f - 20, b*f + 2*f - 45 = -5*o for o. 5 Let g be 14/70*(6 - -4). Solve 2*l + 4*x + 0 - 22 = 0, -g*l - 23 = -5*x for l. 1 Let w(u) = -u + 11. Let c be w(5). Suppose -z - 35 = -2*a + c*a, 3*a + 39 = -5*z. Let v be (-4)/18 + a/(-36). Solve j = -f - 1, v = -2*f - 3*j - 6 - 0 for f. 3 Suppose -21 = -2*x + 6*x - 5*l, 24 = -x - 5*l. Let r(b) = -b**2 - 8*b + 13. Let y be r(x). Solve 4*z - 35 = -3*s, z - s - 20 = -y*s for z. 5 Suppose -2*p + 6 = -8. Suppose 0 - 21 = -p*z. Solve 0 = -5*q - 2*h - 1, 2*h - 7 = -z*q + 6*q for q. -1 Suppose -193 - 167 = 5*s. Let g = s + 76. Solve g*f - 15 = f - 5*t, 2*f = 4*t - 12 for f. 0 Let v = -3 + 14. Solve -3*f + 3*y = 5*y + v, -y = 4*f + 8 for f. -1 Suppose -14*g + 192 = 136. Solve 2*i = 5*r - 3*i - 40, 27 = g*r - 3*i for r. 3 Let r = 14 - -10. Let y = r - 22. Solve -z = -5*n + 10, -z - 7 = -y*n - 0*n for z. -5 Suppose 5*o + 20 + 95 = 0. Let p = 24 + o. Solve -3*c + 9 = 2*s, -s + p + 14 = 5*c for s. 0 Suppose n - 4 = -0*n. Let w be -64 + 65 + (-2 + 2 - -1). Solve 19 = n*z + l, z + 3*l = -w*z + 12 for z. 5 Let v = -9 - -12. Suppose -v*u - 7 + 13 = 0. Solve -2 = -2*z - u*k, 3*z - 5*k = 15 - 4 for z. 2 Let v be (-3)/(-3) + 1 + 0. Let n be 0 + (0 - v) - -6. Suppose -w - 2 = -a + 12, a - 14 = -5*w. Solve -4*l + 0*j + j = -9, -a = -5*l + n*j for l. 2 Suppose -30 = -2*n - n. Suppose 0*j - j - 4*d + n = 0, j = d. Solve 5*b + 0*b = -j*z + 10, -4*b + 3*z + 31 = 0 for b. 4 Let c be 28/36 - 6/(-27). Let h(b) = c + 12*b - 3 + b**2 + 2 + 3. Let g be h(-12). Solve 0 = -g*r + 4*a - 3, -2*r = -3*a + 7 - 4 for r. 3 Let o = -17 + 21. Solve -5*z - h = -12 - 1, -4*h = -4*z - o for z. 2 Let j be 662/(-11) + (-6)/(-33). Let u = -24 - j. Solve -2 = i + 3*y - 19, u = 4*i + 4*y for i. 5 Let r = 2438 - 2436. Solve -r*h + 5*g = 0, h - g = -2*h for h. 0 Suppose 3*d + 5*h + 0*h - 37 = 0, 5*d - 5*h + 5 = 0. Solve 2*q + d*r - 1 = 5, -2*q + 3*r = 22 for q. -5 Suppose -60 = 2*f - 5*f. Suppose 18*j = 14*j + 80. Solve -5*t - 4*w = -0*t - j, 5*w - f = -5*t for t. 4 Let s(z) = -z**3 + 8*z**2 + 8*z + 13. Let f be s(9). Suppose -19 = q - 3*q + 3*u, 8 = -q - 2*u. Solve 0 = -2*j + f*j + t + 12, 0 = q*t + 8 for j. -4 Suppose 0 = 70*d - 63 - 357. Solve 2*t + 19 = -3*f + t, t - d = 2*f for f. -5 Suppose -5*s + 0 = -2*o - 40, -3*s - 7 = 5*o. Solve 4*r - s = -m + 2*r, r = -m + 5 for m. 4 Let d = -21 - -23. Let v be d + 9 - 2 - 2. Solve 0 = -4*w - 2*b + 12, -3*b + 10 = v*w - 3*w for w. 4 Let q = 1 - 2. Let y be 6 - (1 + (-1 - q)). Suppose 12*u = 8*u + a + 22, 0 = 5*u - 4*a - 22. Solve y*l - n - 25 = -u, -3*n - 6 = 2*l for l. 3 Let x(m) = m**3 - 12*m**2 - 29*m + 18. Let i be x(14). Solve 10 = -2*l + i*q, -5*q + 1 + 12 = -2*l for l. 1 Suppose -16 = -18*z + 16*z. Solve 5*f - z = 4*x, 0 = -f - f - 2*x - 4 for f. 0 Let q(m) be the third derivative of m**4/8 - 5*m**3/3 + 5*m**2. Let f be q(-5). Let y be (-5)/f - (-48)/10. Solve -4*l = y*g - 26, -2 = -3*l + g + 4*g for l. 4 Suppose 11*m = 7*m + 8. Suppose 0 = -m*i - 33 + 89. Let w = 6 + -3. Solve -5*u + i = o, u + o - 23 = -w*u for u. 5 Suppose 27 = -10*x + 7. Let t = 73 + 23. Let p be (-1)/x*t/6. Solve -9 = 5*l + 3*c + p, 3*l = -2*c - 10 for l. -4 Let z(s) = -6*s**3 + 2*s**2 - 2. Let b be z(1). Let p(g) = g**2 + 6*g + 3. Let l be p(b). Solve -4*t + 2 = -n, -8 = -2*n - l*t - t for n. 2 Let j(i) = -i**3 + 4*i**2 - 2*i - 4. Let m be j(3). Let t(h) = 13*h - 2. Let a be t(m). Let s = 24 + a. Solve -l = 5*k - 16, 0*l = 3*l + 2*k - s for l. 1 Let o(f) = -f**3 - 25*f**2 + 55*f + 32. Let p be o(-27). Solve 15 = -p*b - 7*x + 2*x, b + 3*x + 5 = 0 for b. -2 Suppose -7*u - 50 = -5*u. Let z = u - -26. Suppose -1 = -n + z. Solve -3*t - 13 = -n*q, 5*q - q + 24 = -4*t for q. -1 Let g(p) = -p + 22. Let v be g(0). Let t = 38 - v. Solve -3*u = 4*i - t, 5*u - 7*i - 16 = -3*i for u. 4 Let o = -9 - -19. Suppose -o*w + 20 = -5*w. Suppose -w*j - 1 = -n, j + 4 = 5*j. Solve 15 = n*k - 0*c + c, 2*c = -4*k + 18 for k. 2 Let u(j) = j + 4. Let r be u(0). Suppose 0 = 5*t - r*t - 2. Solve q = -t*f + 2, 0 = 4*q - 10 - 6 for f. -1 Let s be (-20)/(-18) - 1 - 1780/(-180). Solve -5*a + 3*y - s = -39, -2*a - 5*y = 7 for a. 4 Let f(v) = v**3 + 3*v**2 + 11*v + 20. Let x be f(-2). Solve -x*g - 20 = 5*n, 5*n - 4 = 2*g + 2*n for g. -5 Suppose 5*n - 4 = 36. Let t be 6/n + -1 + (-2)/(-8). Solve t = 2*b - 2*p + 4*p, 0 = -5*b + p for b. 0 Let y(g) = -2*g**3 - 54*g**2 - 51*g + 30. Let v be y(-26). Solve -2*p - 2 = -3*a, a - v*p = -0*p - 6 for a. 2 Let s be (1 - (1 + -1)) + 8. Suppose 0 = 3*z - 4*o + 3*o - 278, 5*z - 2*o - 462 = 0. Let g = -75 + z. Solve -2*v + g = -5*f, -9 = v + 3*f + s for v. -3 Let m = 1387 - 1383. Solve -3*d - 11 - m = 0, 5*h - d = 0 for h. -1 Suppose -5*g = -5, 2*g + 3 = -3*n + 5. Suppose 0 = 5*s - 0*s + 2*i - 118, -74 = -3*s - 2*i. Solve n*c - 3*w + s = 2*c, -2*w + 8 = 0 for c. 5 Let s be 4/(-16) + 100/16. Solve -s*c = -c + 20, 3*p - 5*c = 32 for p. 4 Let y(c) be the second derivative of c**4/12 + 3*c**2/2 - 14*c. Let f be y(0). Solve -5*r + v + 8 = 0, r + 0*v = f*v - 4 for r. 2 Suppose 12*q = -q + 52. Suppose -3*g + 23 = -5*w - 2, 20 = -5*g - q*w. Solve -2*u - u + 3*j + 3 = g, 0 = 4*j for u. 1 Suppose 6*w + 116 = 14. Let k = -15 - w. Solve -5*y - 22 = k*r, -3*y - 2*r - 3*r = 17 for y. -4 Let f = -486 + 711. Suppose -o = -10*o + f. Solve -25 = -2*t + 4*t + 5*w, -5*w = -5*t + o for t. 0 Suppose 2*u - 374 = 4*l + u, -5*u
{ "pile_set_name": "DM Mathematics" }
- -112. Calculate the common denominator of -35/6 and ((-8)/n)/(6/(-639)). 6 Let s be -1 - 1/(-15)*49. Let l = s - -223/120. Calculate the common denominator of l and -67/6. 24 Suppose 5*c + 0*x = 4*x - 11, 5*x + 11 = -2*c. Let i = 8055/7 - 1146. Calculate the common denominator of -2 + 125/6 + c and i. 42 Find the common denominator of 107/10 and (0 - -3)/3 - (-35)/(-24). 120 Let p(w) = -w**2 - 5*w. Calculate the common denominator of p(-10) and (-57)/42*-1*-2. 7 Suppose 2*z = 2*w + 58, 2*z = 12*w - 17*w + 65. Calculate the lowest common multiple of 3 and z. 30 Suppose -406 + 21 = 5*t. Let a = 79 + t. Let f(x) = -x**3 + 4*x**2 + x + 4. Calculate the lowest common multiple of f(4) and a. 8 Let p = 4597/786 - 2/131. Let l be -13 + 4 - 6/2. Calculate the common denominator of p and 9/l - 65/12. 6 Let i = -6367/89 - -1124488/16287. Let y = -2662 + 162392/61. Let l = i + y. Find the common denominator of 107/10 and l. 30 What is the common denominator of -89/120 and (-3)/12*50/16? 480 Suppose -4 = 3*v - 4*v. Suppose -v = -3*d + 5*d. Calculate the common denominator of -3/11 and 50/(-42) + d + -1. 231 Suppose -x + 90 = 4*x. Suppose -28 = b - 0*b. Let c = b + 48. What is the least common multiple of x and c? 180 Find the common denominator of (65/(-4056))/((-3)/(-138)) and -145/234. 468 Let t = -2/2975 + 104133/11900. Let m be 1 + 0 - -2 - 3 - -30. What is the common denominator of m/4*(-4 + (-645)/(-125)) and t? 20 Let h be 24/(-36) + 2/3. Suppose 164 = r - 3*x - x, h = -4*x - 8. Find the common denominator of 1 + -1 - r/32 and -40/9. 72 Let s = -10210 - -204129/20. Calculate the common denominator of -83/110 and s. 220 Let l = 179/6 - 533/15. Suppose -4*u - 3*c + 29 = 2*c, -u + 4*c = -23. Find the common denominator of l and ((-1)/u)/(1/29). 110 Let g = 1807 + -1798. Let m(y) = 3*y - 2. What is the least common multiple of m(2) and g? 36 Let n = -797 + 1028. What is the lowest common multiple of n and 264? 1848 Let l be 4460/(-15659) + 4/14. Let h = -136417/44740 - l. Let y = 105473/18 + -5863. What is the common denominator of y and h? 180 Suppose 0 = -2*f - 2, p + 4*f = -3*p + 28. Suppose p*y - 32 = 3*y - g, -3*g = -2*y + 23. What is the smallest common multiple of 9 and y? 63 Let f be 281540/1288 - 4/46. Suppose 0 = 3*u - u - 426. Let y = f - u. Calculate the common denominator of -47/6 and y. 6 Suppose -4*n + 2*z = -24, -n - 4*z = -2*n + 13. What is the least common multiple of n and 55? 55 Let d(w) = 14*w**2 - 2*w. Let f be d(1). Find the common denominator of -7/3 and f/(-9) - (-6 + 3/1). 3 Calculate the common denominator of 1/(-2)*79/9 and 15/44*(-215)/430. 792 Let g = -41 + 87. Let l = 513/11 - g. Find the common denominator of -51/11 and l. 11 Let v = 28 - 13. Suppose 4*o + 0*z = -2*z + 38, -5*o + 4*z = -v. Let j(k) = k**2 + k + 4. What is the smallest common multiple of o and j(0)? 28 Let g be (-10)/5*-1 + -2. Suppose b - 5*b + 12 = 0. Suppose g = m - 10 + b. What is the least common multiple of 8 and m? 56 Let i be 3/2*(-3 - -13). Let r be (14/(-5))/((-3)/15). Suppose 4 = -r*h + i*h. What is the lowest common multiple of 2 and h? 4 Let b = 3014/15 + -1001/5. What is the common denominator of b and -10/3? 15 Let c be (-604)/(-390) + -2 + 4. Let b = c + 43/78. Let m = -564291/94 + 6003. Calculate the common denominator of m and b. 470 Suppose o = 4*z - 60, 11*z - 12*z + 28 = 3*o. Calculate the least common multiple of z and 266. 2128 Let j be 6/16 - (-45)/(-120). Suppose w - 2 + 0 = j. What is the smallest common multiple of 44 and w? 44 Let j = 271274/33 + -8221. Let p = -22417/18 - -1246. What is the common denominator of p and j? 198 Let w be (40/6)/((2 + -5)/189). What is the smallest common multiple of 10 and w/(-75) + -4*1/(-10)? 30 Let v(a) = 3*a - 61. Let o be v(22). Suppose -3*x - o*n = -13, 5*x - 5*n - 34 = -n. Let m = 29 + -11. What is the smallest common multiple of m and x? 18 Let b be (-461)/(-14) + -6*16/(-168). Suppose 0 = 2*m + y + 2*y - 60, 5*m - 2*y - 169 = 0. Let s = b - m. What is the common denominator of 89/2 and s? 2 Let f = 1135/2 - 588. Let c be (-159830)/(-34) - (-2)/17. Let h = c + -37683/8. What is the common denominator of h and f? 8 Let q(o) = 11*o + 411. What is the lowest common multiple of 446 and q(-37)? 892 What is the common denominator of (-106)/4 - (21 + -25) - -4 and 91/410? 410 Suppose 0 = s + 1, -2*z - 8*s + 477 = -5*s. Calculate the least common multiple of z and 6. 240 Let b(j) = -11*j - 65. Calculate the least common multiple of b(-7) and 16. 48 Let t(g) = -g**3 - 10*g**2 - g - 10. Let l be t(-10). Let n = l + 7. What is the lowest common multiple of n and 0 - -1 - (-7 - 2)? 70 Suppose 0 = -36*f + 565 + 3215. Calculate the smallest common multiple of 165 and f. 1155 Let t = 247 - 239. What is the smallest common multiple of t and 28? 56 Suppose -3*w - 555 = 2*w. Find the common denominator of (-2*w/(-12))/10 and -31/22. 220 Let k = -33727/5910 + 4/591. Find the common denominator of k and -73/180. 180 Let u = -25/119 - -5154/1309. Let h = -1875/104 + 158/13. Calculate the common denominator of h and u. 88 Let a(g) = 2*g**2 + 1. Let n be a(-1). Suppose 5*c - 3*c = n*p + 4, -c - 9 = 4*p. What is the lowest common multiple of (-9)/p*(-48)/(-18) and 4? 12 Suppose -4*m + m = -12. Suppose 0 = -q - q + c + 12, -m*c + 18 = 3*q. Calculate the lowest common multiple of 22 and q. 66 Find the common denominator of (-1)/33 - 159/(-106) and -145/132. 132 Let c = -347593/33 + 10532. Calculate the common denominator of c and 46/129. 1419 Let i = -931653396 - -1320874089. Let x = i - 661675156637/1700. Let g = -1/3400 + x. Find the common denominator of g and -2/9. 72 Let b(d) = 2*d**3 + 12*d**2 - 33*d + 9. Calculate the least common multiple of 126 and b(3). 504 Find the common denominator of (-2)/3 - (-1960)/(-112) and -13/24. 24 Let i = 4059 - 40709/10. Let b be (0 - -3)*(7 + 2). Calculate the common denominator of i and 2/(-4) - 87/b. 90 Let b = 23/9 + -223/45. Find the common denominator of b and 17/412. 2060 Let j be (-2)/((-75)/(-38) + -2). Find the common denominator of ((-6)/28)/((-48)/j) and -5 + 81/15 - (-138)/(-40). 280 Let a = 14086 + -309789/22. Let u = 188271882 + -1669218503863/8866. Let x = u - -3/403. Find the common denominator of x and a. 22 Suppose 2*l + 4*z = -6 - 10, -2*z = -4. Let t be 3/(-4) - 105/l. Suppose 0 = x + 4 - t. Calculate the least common multiple of 5 and x. 20 Suppose 7*g = -11*g - 810. What is the least common multiple of 12 and (22/(-3))/((-215)/g - 5)? 132 Let k = 568 + -538. Calculate the lowest common multiple of k and 162. 810 Suppose 4*t + 0*t = 4. Suppose 1 = -2*n + 3*c, -5*n - c - 20 + 43 = 0. Calculate the least common multiple of (12 + t - 0) + -1 and n. 12 Suppose -50 = -3*y - 41. Calculate the least common multiple of 1 and y. 3 Let a = 19 - 14. Suppose n + 9 = a*v, -3*n - 2*v + 1 = 28. Find the common denominator of 39/8 and n. 8 Suppose 6*u - 2*u - 605 = 5*k, 303 = 2*u - 3*k. What is the smallest common multiple of 8 and u? 600 Let g(i) = i**3 + 21*i**2 + 24*i + 4. Let a be g(-20). Let b be ((-2)/(-6))/(2/66). Calculate the common denominator of 89/8 and (1/b)/((-4)/a). 88 Let a(g) = -1140*g**2 + 4*g - 3. Let q be a(3). Let o = q + 204969/20. Let b = -2/4819 - 448151/38552. Find the common denominator of b and o. 40 Suppose -5*q - 4*u + 145 = -1980, 0 = u. Let w = -2/18929 + -1495351/378580. What is the common denominator of w and (17/q)/(2/95)? 20 Calculate the smallest common multiple of 2 and 6/27 + 8045/45. 358 Let l = -14 - -14. Suppose l*f + 3*f - 12 = 0. Suppose 0 = -5*q - 8 + 3, 0 = -f*x - 5*q + 51. What is the smallest common multiple of 16 and x? 112 Let a = 803747996602/5313 - 151279503. Let o = a + 930/161. Let q = o + -29/33. What is the common denominator of q and 1/11? 11 Let o be (950/12)/5 - 2/6. Suppose c = -3*c + 60. Let i = c - o. Calculate the common denominator of -30/7 and i. 14 Let b = -18 + 30. Let h(c) = 14*c**2 + b - 68*c**3 + 69*c**3 + 4 + 2*c**2. What is the smallest common multiple of 16 and h(-16)? 16 Let o = 53375/22 + -2429. Suppose 0 = -k - 4*q - 3407 - 3027, k + 6434 = -q. Let h = 77321/12 + k. Calculate the common denominator of o and h. 132 Let a = 14 + -8. Suppose 2 - 6 = -2*v. What is the common denominator of (v*
{ "pile_set_name": "DM Mathematics" }
divided by 15? 7 Let k = -1 + 4. Suppose x + 21 - 5 = 0. Calculate the remainder when (-76)/x - 2/(-8) is divided by k. 2 Suppose -887 - 487 = -3*o. What is the remainder when o is divided by 58? 52 Let j(i) = -i**2 - 8*i - 3. Let l be j(-8). Let f = l - -42. Suppose -4*a + f = -a. What is the remainder when 37 is divided by a? 11 Let a(y) = y - 12. Let j be a(14). What is the remainder when 38 is divided by (j/3)/(40/780)? 12 Suppose -48 = -5*x + 2*x. Let r be 3*(33/(-6) + (-3)/(-18)). Let v = r - -61. What is the remainder when v is divided by x? 13 Let n(s) = s**3 - 4*s**2 - 4*s + 1. Let j(o) = -3*o + 3*o - 4 - 3*o + o**3 + 4*o**2. Calculate the remainder when j(-4) is divided by n(5). 2 Let j = -1374 + 1404. Calculate the remainder when 114 is divided by j. 24 Let d(m) = 5*m**2 - m - 2. Let j be d(-4). Suppose -u - u = -j. Suppose 3*a = 4*f - 46, 5*a = 2*f - u + 11. Calculate the remainder when 15 is divided by f. 5 Let h(k) = -k**2 + 16*k + 20. Let r be h(17). Let c(u) = -10*u**3 - 2*u**2 - u. What is the remainder when c(-1) is divided by (5 + -2 - r) + (-6)/(-2)? 0 Suppose -5*f = -f + 5*r - 74, 2*f + 4*r = 46. Suppose 3*y - y = -8. Let h = y - -11. Calculate the remainder when f is divided by h. 4 Suppose -u - 2*u = -93. Suppose -16*c + 531 = -1421. Calculate the remainder when c is divided by u. 29 Suppose -3833 = -18*a + 1441. Calculate the remainder when a is divided by 49. 48 Suppose -4*g = -5*j + 139, -g - 113 = -4*j + 4*g. What is the remainder when 53 is divided by j? 26 Let t = 138 + 47. Calculate the remainder when t is divided by 38. 33 Suppose 5 = -2*q + 4*g - 3, 3*g - 5 = 2*q. Calculate the remainder when -6*1/(-4)*2 is divided by q. 1 Let p(f) = 3*f + 56. What is the remainder when 131 is divided by p(14)? 33 Let p(x) = 2*x**2 - 80*x - 60. What is the remainder when p(41) is divided by 2? 0 Suppose -97 = -5*n + 723. Calculate the remainder when n is divided by 21. 17 Suppose -2*a + 130 = 5*m + a, -5*m + 130 = -3*a. Let p(b) = -b**3 + 55*b**2 + b + 73. Calculate the remainder when p(55) is divided by m. 24 Let s(u) = -u - 1. Let j(f) = -f. Let t(o) = j(o) - 2*s(o). Let c be t(0). Let w = c - -1. What is the remainder when 9 is divided by w? 0 Let s be ((-142)/(-10))/(6/30). Let o = s - 54. Calculate the remainder when 61 is divided by o. 10 Suppose 2*u + 20 = 7*u. Suppose 4*s - 8 = r + 3*r, 0 = 2*s + u*r - 4. Calculate the remainder when -2*s - (-2 + -39) is divided by 20. 17 Suppose -55 = 2*a - 13. Let t = a - -70. Let k = 16 - 6. What is the remainder when t is divided by k? 9 Suppose 0 = -18*p + 22*p - 4*o - 480, -4*o = 3*p - 332. Calculate the remainder when p is divided by 30. 26 Suppose -3*h + 8 = -10. Suppose 0 = -q + h*q. Suppose -2*w - 2 + 18 = q. Calculate the remainder when 30 is divided by w. 6 Suppose -262 = -3*h + a, -2*h + 360 = 2*h + 4*a. Suppose -30 + h = 2*j. Let s = -12 + 27. Calculate the remainder when j is divided by s. 14 Suppose 5*r + 1858 = 4*s + 363, 4*r - 5*s + 1187 = 0. Calculate the remainder when (r/(-9))/(2/(-3) + 1) is divided by 34. 33 Suppose 0*x - 3*x + 21 = 0. Let q = x + -5. Suppose -21 = -q*h - 3*i, 3*h + 3*i = 4*h - 33. Calculate the remainder when 52 is divided by h. 16 Suppose -171 + 700 = 23*n. What is the remainder when n is divided by 5? 3 Suppose 0*r - 12 = -r. Let c = 22 - 45. Let t = 45 + c. What is the remainder when t is divided by r? 10 Let f(u) = 10*u**2 + 4*u - 14. Let a(p) = -p**2 + p + 6. Let c be a(0). Let m(b) = 2*b**2 - 10*b + 6. What is the remainder when f(2) is divided by m(c)? 16 Suppose -2*o = -5*s + 10, -s - 1 = -4*o - 3. Suppose -24 + 54 = s*y. What is the remainder when y is divided by 9? 6 Let i = 43 - -7. Calculate the remainder when i is divided by 20. 10 Let f(n) = n**3 + 7*n**2 - n - 5. Let d be f(-7). Suppose 0 = 2*z + 4*q - 134, -57 = -z - 6*q + d*q. Calculate the remainder when z is divided by 16. 13 Let l(k) = -k**2 - 9*k - 3*k**2 + 2*k**2 + k**2. Let o(b) = -2*b + 10. Let i be o(9). Calculate the remainder when l(i) is divided by 3. 2 Suppose -4*t = -9 - 19. Let f = -9227 - -9267. What is the remainder when f is divided by t? 5 What is the remainder when 55 is divided by -3 + (5 - 6) + 18? 13 What is the remainder when (-410)/(-4) - (-30)/(-20) is divided by 17? 16 Calculate the remainder when 417 is divided by (167 - -1)/(0 - -2). 81 Suppose -10 = 3*z - 16. Suppose 0 = -z*g - 2*k + 10, 3*g - k - 57 + 22 = 0. Calculate the remainder when 79 is divided by g. 9 Suppose -6*m = -2*m + 44. Let s = 13 - m. Suppose 3*v - v - 2*w = s, 5*v - 4*w = 55. Calculate the remainder when v is divided by 2. 1 Let a = -11 + 70. Let h = 84 + -83. What is the remainder when a is divided by (225/(-60))/(h/(-4))? 14 Suppose 5*v - 2*g = -0*v + 58, -20 = 5*g. Suppose 23 - 103 = -4*i. Suppose 9 = u - i. What is the remainder when u is divided by v? 9 Suppose 0 = -4*k - 2*d + 30, 2*d = -3*k - 0*k + 24. Calculate the remainder when 244 is divided by 8/48 - (-245)/k. 39 Let m be (-97)/(-4) + 11/(-44). Let n = 43 - m. Calculate the remainder when 36 is divided by n. 17 Let a = -805 + 1210. Calculate the remainder when a is divided by 68. 65 Let d = 3 - -9. Suppose 14*f - 68 = d*f. Calculate the remainder when f is divided by 9. 7 Let m be -1*(1 + 0 - 2). Let v be 0 - (4 - 4)/(0 - 1). Calculate the remainder when 54 is divided by (0 + m + v)*19. 16 Let u = -2492 - -2781. What is the remainder when u is divided by 152? 137 Let q be 0 - 8*(-3)/3. What is the remainder when (-68)/(-102)*(66 - -3) is divided by q/((-1)/((-3)/2))? 10 Let g(u) = u + 4*u + 0*u + 9. Let t = 62 - 50. What is the remainder when g(5) is divided by t? 10 Let w(z) = z**2 - 8*z + 39. What is the remainder when w(10) is divided by 13? 7 Let o = -12 + 32. Let l(j) = 2*j - 9. What is the remainder when o is divided by l(10)? 9 Let n = -7 + 60. Suppose v + 4*u = 25, -n = -0*v - v + 3*u. Calculate the remainder when v is divided by 11. 8 Let d = -990 + 1008. What is the remainder when 46 is divided by d? 10 Let v(t) be the third derivative of -t**5/60 + 11*t**4/24 + 13*t**3/6 + 6*t**2. What is the remainder when v(9) is divided by 8? 7 Let s = -2 + 35. Suppose -j - l = -4, 0 = -3*j + 6*j - 3*l - 36. Let r = 4 + j. What is the remainder when s is divided by r? 9 Let v = -79 + 186. What is the remainder when v is divided by 10? 7 Suppose 7*o + 38 = 8*o. Suppose -4*k = -5*n - 72, -5*k + 39 = -3*n - 64. Let j = k - 3. Calculate the remainder when o is divided by j. 18 Suppose 2*i - 461 = -3*d, -739 = -5*d + 17*i - 13*i. Calculate the remainder when d is divided by 11. 8 Let v(y) = y**3 - 11*y**2 - 11*y - 5. Let f(t) = -2*t**2 + 24*t + 2. Calculate the remainder when v(12) is divided by f(12). 1 Let b = 134 - 38. Calculate the remainder when b is divided by (-6)/(-14) + 7946/406. 16 Calculate the remainder when (-14 - -15)*(127 + 0) is divided by 40. 7 Suppose -161 - 39 = -5*w. What is the remainder when 62 is divided by w? 22 What is the remainder when ((-2416)/(-40) - -4) + (-4)/10 is divided by 17? 13 Let z(a) = -5*a**2 - 58*a + 10. Calculate the remainder when z(-8) is divided by 40. 34 Calculate the remainder when 127 is divided by (-22)/(-33) + (-2)/3*-65. 39 Suppose 2*i = -4*y + 182, y - 410 = -6*i + i. What is the remainder when i is divided by (-21)/(9/(-3))*-1*-4? 25 Let y(u) = -u**2 + u + 3. What is the remainder when 93*(((2 + 4)/6)/1)/3 is divided by y(0)? 1 Let x(g) = -2*g**2 + 4*g + 20. Let t be x(4). Suppose -t*v = -71 - 13. What is the remainder when 34 is divided by v? 13 Suppose 15 - 550 = -5*f - 5*t, 2*t = 0. What is the remainder when f is divided by 37? 33 Let o(y) = -107 + 106 + 10*y**2 + y**2 - y. Let w be -1*2/4*2. Calculate the remainder when 32 is divided by o(w). 10 Let k = -30 - -50. Calculate the remainder when ((-2)/(-3))/(k/2070) is divided by 24. 21 Suppose 0 = 5*n - q - 686, 7 + 5 = 3*q. Suppose 11*a = 14*a - n. What is the remainder when a is divided by 10? 6 Let z(h) = -14*h - 2. Let n be z(6). Suppose 155 = 7*m + 78. Calculate the remainder when (n/(-8))/((-1)/(-4)) is divided by m. 10 Let v = 315 - 178. What is the remainder when v is divided by 37? 26 Let b = 2118 + -995. What is the remainder when b is divided by 15? 13 Let b = 812 + -792. What is the remainder when 111 is div
{ "pile_set_name": "DM Mathematics" }
47, -2/17, 0, 0.09, 1/2 Put 2, -2, -10, 1, -4 in ascending order. -10, -4, -2, 1, 2 Sort 0.2, -1, 7, 5/2 in ascending order. -1, 0.2, 5/2, 7 Put 0.27, -2, 1/3 in ascending order. -2, 0.27, 1/3 Put -17/7, -0.07, 7/5, -5 in decreasing order. 7/5, -0.07, -17/7, -5 Put 5, 3, 1, 259 in increasing order. 1, 3, 5, 259 Put -4, 3, 4, -5, 867 in increasing order. -5, -4, 3, 4, 867 Sort -14, 3, -5, 0 in descending order. 3, 0, -5, -14 Put -3/5, -0.7, -0.9, -0.5 in increasing order. -0.9, -0.7, -3/5, -0.5 Put 0.2, -9, -0.41, 1 in decreasing order. 1, 0.2, -0.41, -9 Put -3/4, 1, 3, -5 in decreasing order. 3, 1, -3/4, -5 Put 1, 6, -5, -77, -1 in descending order. 6, 1, -1, -5, -77 Put 2, 10, -9 in descending order. 10, 2, -9 Sort 1/6, 0.1, -127, -4. -127, -4, 0.1, 1/6 Sort -0.1, -0.3, 39/5. -0.3, -0.1, 39/5 Sort -47, 5, -3. -47, -3, 5 Put -3, -1/5, 2/25, -18 in ascending order. -18, -3, -1/5, 2/25 Put 1, -3, -8, 5 in decreasing order. 5, 1, -3, -8 Sort 0.4, 0.04, 38 in descending order. 38, 0.4, 0.04 Sort 0.11, -0.4, 5, 7, 2. -0.4, 0.11, 2, 5, 7 Sort 0.14, -5, -0.5 in decreasing order. 0.14, -0.5, -5 Sort 63, 0, 5, -2. -2, 0, 5, 63 Sort 1, 4191, 2 in descending order. 4191, 2, 1 Sort 2.4, -22, -1, -0.3 in descending order. 2.4, -0.3, -1, -22 Put 5, -3, -4, -11 in descending order. 5, -3, -4, -11 Put 2, -1, -6, -2 in descending order. 2, -1, -2, -6 Sort -2, 0.46, -0.2 in decreasing order. 0.46, -0.2, -2 Put 146, 1, 4, -5 in increasing order. -5, 1, 4, 146 Sort 14, 1, -0.6 in decreasing order. 14, 1, -0.6 Sort 1.3, 0.1, 0.13, 2 in increasing order. 0.1, 0.13, 1.3, 2 Sort -142, 2, -2, -5 in ascending order. -142, -5, -2, 2 Put 3, -1, -2, 2, -25 in descending order. 3, 2, -1, -2, -25 Sort -3, 6, 3, -10 in increasing order. -10, -3, 3, 6 Put 0.2, 18, 0.1, -2/3 in descending order. 18, 0.2, 0.1, -2/3 Put 26, 4, 5 in increasing order. 4, 5, 26 Sort 4/13, -0.4, -3, -1/7. -3, -0.4, -1/7, 4/13 Put 1, 0.3, 4/11, -1/2, -4 in decreasing order. 1, 4/11, 0.3, -1/2, -4 Sort 0.3, -0.197, -5 in descending order. 0.3, -0.197, -5 Sort -0.1, 2/3, 0.9, 2/5. -0.1, 2/5, 2/3, 0.9 Put -0.5, -0.1, 0 in increasing order. -0.5, -0.1, 0 Put 0.5, 0.4, -359, -2/3 in increasing order. -359, -2/3, 0.4, 0.5 Put -6, 0, 4, -2 in increasing order. -6, -2, 0, 4 Sort -0.03, 2, 0.05 in increasing order. -0.03, 0.05, 2 Sort 4, 0, 3 in ascending order. 0, 3, 4 Sort -6, -1, -41 in descending order. -1, -6, -41 Sort 2, -696, 5, 3, -3 in decreasing order. 5, 3, 2, -3, -696 Put -17, 42, -5, 2 in decreasing order. 42, 2, -5, -17 Put 1/6, -1/3, -4, 1 in ascending order. -4, -1/3, 1/6, 1 Sort 9, 0.43, 3, 1/6, -0.7. -0.7, 1/6, 0.43, 3, 9 Put 1/42, 2/5, 0.3 in decreasing order. 2/5, 0.3, 1/42 Sort 16, 4, 2. 2, 4, 16 Put -0.5, -0.3, -40 in increasing order. -40, -0.5, -0.3 Put 3, -0.113, 3/4, -1/4 in decreasing order. 3, 3/4, -0.113, -1/4 Sort -1, -3, 46, 38, 1 in descending order. 46, 38, 1, -1, -3 Sort -5, -4, -2, 203, -3 in increasing order. -5, -4, -3, -2, 203 Sort -3/4, -1/4, -36, -31 in decreasing order. -1/4, -3/4, -31, -36 Put 2, -3, 14 in descending order. 14, 2, -3 Put -1, 0.3, -3/8, 51 in decreasing order. 51, 0.3, -3/8, -1 Sort 5, 9, 14 in descending order. 14, 9, 5 Sort -3, -2, 0, -7. -7, -3, -2, 0 Put 5/149, -1/7, -2 in ascending order. -2, -1/7, 5/149 Sort 34, -2, 14. -2, 14, 34 Sort -0.02, 0, -2/719 in decreasing order. 0, -2/719, -0.02 Sort 5, 1, 4, 21. 1, 4, 5, 21 Sort 4, 0.3, -1, -5, -0.08 in ascending order. -5, -1, -0.08, 0.3, 4 Sort -7, 4, -2, 5, 1 in increasing order. -7, -2, 1, 4, 5 Sort -104, 0, -3, -2. -104, -3, -2, 0 Put 3, 11, 5, 2, -5 in decreasing order. 11, 5, 3, 2, -5 Put 3, 0, -12 in increasing order. -12, 0, 3 Put -2/3, -1, -1/8, 0 in descending order. 0, -1/8, -2/3, -1 Sort -15, 0, -4, 5 in descending order. 5, 0, -4, -15 Sort -2, -6, -1, 2, -2/7 in ascending order. -6, -2, -1, -2/7, 2 Sort 2, -3, -12, 4, 7. -12, -3, 2, 4, 7 Sort -0.06, -3/5, 1/2, -54. -54, -3/5, -0.06, 1/2 Put 1, 4, -1, 47 in decreasing order. 47, 4, 1, -1 Sort 48, 0, 4, 2 in ascending order. 0, 2, 4, 48 Sort 1/5, -11/4, 1.1 in descending order. 1.1, 1/5, -11/4 Sort 7, -4, -2, 0, 1 in decreasing order. 7, 1, 0, -2, -4 Sort 1, -5, 10/7, 1/4. -5, 1/4, 1, 10/7 Sort 411, 2, 1 in decreasing order. 411, 2, 1 Sort -1, -11, -16 in ascending order. -16, -11, -1 Put 15, 0, -5 in decreasing order. 15, 0, -5 Sort -2, 0, -8, 2, -12 in decreasing order. 2, 0, -2, -8, -12 Sort -2, -91, -5 in ascending order. -91, -5, -2 Put 4, -3, -7, -8 in descending order. 4, -3, -7, -8 Put 0, -4, -95 in decreasing order. 0, -4, -95 Sort 3, -2, 2 in decreasing order. 3, 2, -2 Put -4, 5, 1/6, -2/657 in decreasing order. 5, 1/6, -2/657, -4 Sort 2/5, -0.6, 0.03, 2/21 in descending order. 2/5, 2/21, 0.03, -0.6 Put -14, 3, -1/2 in decreasing order. 3, -1/2, -14 Sort 292, -7, -2. -7, -2, 292 Sort 2, -3, 5, 0 in descending order. 5, 2, 0, -3 Put -2, 11, 1, 2/29 in increasing order. -2, 2/29, 1, 11 Sort -3/4, 0.2, 18, -0.3 in decreasing order. 18, 0.2, -0.3, -3/4 Sort -11, 1, -6, -4 in decreasing order. 1, -4, -6, -11 Sort 0, -7, -102, -3, 1. -102, -7, -3, 0, 1 Put 2, -9, 3/10, 2/5 in increasing order. -9, 3/10, 2/5, 2 Sort 5, -1, -5, -89 in increasing order. -89, -5, -1, 5 Sort -7, 0, -5/6. -7, -5/6, 0 Sort 0.3, 0.088, 2/13, -4/5 in descending order. 0.3, 2/13, 0.088, -4/5 Put -9, -3, 4, 1 in decreasing order. 4, 1, -3, -9 Sort 5, -2, -4, 12, 2 in decreasing order. 12, 5, 2, -2, -4 Put -122, 5, 3, -1 in decreasing order. 5, 3, -1, -122 Put 33, 3, -2/17, -2/13, 0.1 in decreasing order. 33, 3, 0.1, -2/17, -2/13 Put -3, 24, -1 in decreasing order. 24, -1, -3 Sort -1, -20, 4, 3 in increasing order. -20, -1, 3, 4 Sort 2/3, -7/664, -2 in increasing order. -2, -7/664, 2/3 Put -33, -15/4, 2, 1/5 in descending order. 2, 1/5, -15/4, -33 Put 0.5, 18, -3, -1/7 in descending order. 18, 0.5, -1/7, -3 Put 13, -1, -4 in ascending order. -4, -1, 13 Put 5, 3, 223 in ascending order. 3, 5, 223 Put -365, -3, -1 in descending order. -1, -3, -365 Sort 3, 10, -9 in descending order. 10, 3, -9 Sort 1, -1, 3, -95. -95, -1, 1, 3 Put 21, -1, -4, 2 in descending order. 21, 2, -1, -4 Put 3/5, 3, 5, -3/6790 in increasing order. -3/6790, 3/5, 3, 5 Put 122/7, -0.1, -2 in ascending order. -2, -0.1, 122/7 Sort -17, -7, -2. -17, -7, -2 Sort -7/2, 13, 2/13, -0.4 in decreasing order. 13, 2/13, -0.4, -7/2 Sort -9, 62, -6 in increasing order. -9, -6, 62 Sort -11, 5, -5, 18 in descending order. 18, 5, -5, -11 Put -2, 357, 14, -5 in decreasing order. 357, 14, -2, -5 Sort -5, 472, -3 in descending order. 472, -3, -5 Sort 0, 0.526, 5 in descending order. 5, 0.526, 0 Put -4, 118, 3, 2, 5 in decreasing order. 118, 5, 3, 2, -4 Sort 79, 8/3, -1, 0, -2 in increasing order. -2, -1, 0, 8/3, 79 Put 0, -0.2, -74, -5 in descending order. 0, -0.2, -5, -74 Sort -1, -3, 4, 10, 175 in ascending order. -3, -1, 4, 10, 175 Sort -0.3, -4, 3, 2, 2.14 in ascending order. -4, -0.3, 2, 2.14, 3 Put -3, 4, 3, -2 in descending order. 4, 3, -2, -3 Put -418, -4, -3 in increasing order. -418, -4, -3 Put 4, -11, 2, 26, 0.2 in descending order. 26, 4, 2, 0.2, -11 Sort -5, -33, 5, -3 in increasing order. -33, -5, -3, 5 Sort -1618, -2, 3 in ascending order. -1618, -2, 3 Sort 5, -7, -5, -3. -7, -5, -3, 5 Sort 5, -1, 0, -211 in decreasing order. 5, 0, -1, -211 Put 0.4, 1/155, 3/2, 0 in decreasing order. 3/2, 0.4, 1/155, 0 Sort 4, -298, 1, -4 in ascending order. -298, -4, 1, 4 Sort -52, -15, 0.4, 2/13 in increasing order. -52, -15, 2/13, 0.4 Sort -2/21, -2/13, -27, -1 in increasing order. -27, -1, -2/13, -2/21 Sort -1, 16, 1, 5 in ascending order. -1, 1, 5, 16 Put 0.4, 0.043, -5, -2 in increasing order. -5, -2, 0.043, 0.4 Put 0.28, 1, -0.4, -0.04, -1 in increasing order. -1, -0.4, -0.04, 0.28, 1 Sort -14, 3, -2/13 in decreasing order. 3, -2/13, -14 Sort 23, -113, 4 in ascending order. -113, 4, 23 Sort 5, -4, -5, -3 in increasing order. -5, -4, -3, 5 Sort -1, -5, -3, 617 in decreasing order. 617, -1, -3, -5 Put -7, 2, -5, -2/11, 1 in decreasing order. 2, 1, -2/11, -5, -7 Put 4, 2620, -5 in increasing order. -5, 4, 2620 Sort -105, 2, -4 in increasing order. -105, -4, 2 Sort 5, 120, -3 in ascending order. -3, 5, 120 Put -11, 0.5, -15/11 in descending order. 0.5, -15/11, -11 Sort -5, -2/3, 2, 0.5 in ascending order. -5
{ "pile_set_name": "DM Mathematics" }
site? False Is 147277 prime? False Is 5779 composite? False Is 320003 a prime number? False Is 22467 prime? False Is 22271 composite? False Is 114547 a prime number? True Is 351613 a composite number? True Is 10771 prime? True Is 257 prime? True Is 19121 a composite number? False Is 146819 a composite number? False Is 673063 a composite number? False Is 751 a prime number? True Is 177443 a composite number? True Is 4083 a composite number? True Is 90887 a prime number? True Is 126917 a composite number? True Is 1164493 a prime number? False Is 4673 a prime number? True Is 10289 composite? False Is 9103 composite? False Is 8413 a prime number? False Is 3449 a composite number? False Is 100993 prime? False Is 113621 composite? False Is 13381 composite? False Is 137913 composite? True Is 258547 composite? True Is 868487 composite? False Is 237959 a prime number? True Is 851 a prime number? False Is 36251 prime? True Is 209917 a composite number? False Is 34093 a prime number? 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False Is 1363867 a composite number? False Is 93593 composite? True Is 4783 prime? True Is 1071793 prime? False Is 42134 prime? False Is 29059 a composite number? False Is 6122 composite? True Is 79757 composite? False Is 1721953 composite? True Is 1523 composite? False Is 5131 prime? False Is 7393 prime? True Is 272807 a prime number? True Is 2599 composite? True Is 136811 composite? False Is 46861 composite? False Is 1399 prime? True Is 719 a composite number? False Is 24053 a prime number? False Is 172127 composite? False Is 266891 prime? True Is 12323 a prime number? True Is 9383 composite? True Is 1026769 composite? True Is 23209 a composite number? False Is 83491 a prime number? False Is 13241 composite? False Is 10673 a composite number? True Is 15681 a prime number? False Is 71507 a composite number? True Is 292909 prime? True Is 55 composite? True Is 10029 a composite number? True Is 3299 composite? False Is 132887 prime? True Is 20759 prime? True Is 899905 composite? True Is 1721 a prime number? True Is 1495553 prime? True Is 52951 prime? True Is 2750377 a prime number? False Is 19658 a composite number? True Is 15727 composite? False Is 57637 a prime number? True Is 109477 composite? True Is 1363 a prime number? False Is 372247 composite? True Is 1165861 a prime number? True Is 287437 prime? True Is 17717 a prime number? False Is 38993 a prime number? True Is 97021 a prime number? True Is 9767 a prime number? True Is 261847 composite? False Is 3719 composite? False Is 157721 prime? True Is 98179 a prime number? True Is 15409 a composite number? True Is 16979 a prime number? True Is 184669 a composite number? False Is 538581 a prime number? False Is 853741 a composite number? True Is 21839 a composite number? False Is 570001 prime? True Is 4699 composite? True Is 9561 a composite number? True Is 16757 a composite number? True Is 5051 a composite number? False Is 2309 prime? True Is 32933 composite? False Is 18635 a composite number? True Is 859423 a composite number? False Is 4968849 prime? False Is 69961 a composite number? True Is 3085 composite? True Is 9677 prime? True Is 4265 a composite number? True Is 60889 a prime number? True Is 50329 composite? False Is 30427 a prime number? True Is 2645867 prime? False Is 14243 prime? True Is 5959 a prime number? False Is 813989 a composite number? True Is 911 prime? True Is 475511 composite? False Is 17863 composite? False Is 370957 a prime number? False Is 64271 composite? False Is 3433 a prime number? True Is 32483 composite? True Is 416981 prime? False Is 14143 a prime number? True Is 2797 prime? True Is 414227 prime? False Is 2333 a prime number? True Is 88503 composite? True Is 287821 a composite number? False Is 13211 prime? False Is 3293 a composite number? True Is 519643 a prime number? True Is 163819 a composite number? False Is 192859 prime? True Is 9865 prime? False Is 21963 a composite number? True Is 471619 composite? False Is 88147 prime? False Is 705217 a prime number? False Is 46603 a prime number? False Is 40163 composite? False Is 73847 composite? False Is 2521 a composite number? False Is 1929 prime? False Is 186377 a prime number? True Is 51703 a prime number? False Is 1354 a prime number? False Is 463805 a prime number? False Is 204629 a prime number? False Is 434881 prime? True Is 76561 a composite number? False Is 1111 a composite number? True Is 26045 a prime number? False Is 1712577 a composite number? True Is 181191 a prime number? False Is 28319 a prime number? True Is 126097 a composite number? False Is 1251938 prime? False Is 6209 composite? True Is 16439 prime? False Is 21923 prime? False Is 492601 composite? False Is 123787 composite? False Is 8657 a composite number? True Is 22331 a prime number? False Is 11549 a composite number? False Is 10577 composite? True Is 562 a composite number? True Is 23117 composite? False Is 163793 prime? False Is 282157 prime? True Is 23969 prime? False Is 145097 composite? True Is 15661 a prime number? True Is 95911 a composite number? False Is 430391 prime? False Is 834311 a prime number? True Is 429497 composite? False Is 17539 composite? False Is 316405 composite? True Is 331757 a composite number? True Is 12067 prime? False Is 43013 composite? False Is 148585 a composite number? True Is 459749 composite? False Is 148361 a composite number? False Is 449051 a prime number? True Is 64547 a prime number? False Is 48947 a composite number? False Is 10057 composite? True Is 137689 composite? True Is 839 composite? False Is 68329 composite? False Is 5839 a prime number? True Is 85411 composite? False Is 2441107 composite? False Is 231197 a composite number? False Is 35879 prime? True Is 20039 composite? True Is 275573 a prime number? True Is 9647 composite? True Is 17291 a composite number? False Is 1008587 a prime number? True Is 15259 composite? False Is 388618 composite? True Is 21541 composite? True Is 431789 prime? False Is 40159 prime? False Is 27611 composite? False Is 8741 a composite number? False Is 60097 prime? False Is 36553 composite? True Is 35263 prime? False Is 106471 a prime number? False Is 76481 a prime number? True Is 275818 prime? False Is 10427 composite? False Is 8285 prime? False Is 83649 a composite number? True Is 76363 composite? True Is 64109 a prime number? True Is 2579 a composite number? False Is 564593 composite? False Is 428093 composite? False Is 302721 a composite number? True Is 7561 prime? True Is 16689 a composite number? True Is 4885 a composite number? True Is 21377 composite? False Is 250919 a composite number? False Is 89413 a prime number? True Is 149197 a prime number? True Is 34223 composite? True Is 479 composite? False Is 1861 a composite number? False Is 7621 a prime number? True Is 19319 composite? False Is 227074 composite? True Is 453227 composite? False Is 7529 a prime number? True Is 901 a prime number? False Is 52898 prime? False Is 171569 a prime number? False Is 1650367 composite? True Is 600757 prime? False Is 3251 a composite number? False Is 43717 a prime number? True Is 140759 a composite number? False Is 824437 composite? False Is 35879 a prime number? True Is 1285203 composite? True Is 54037 a prime number? True Is 653 composite? False Is 1022339 a
{ "pile_set_name": "DM Mathematics" }
t l be a(27). Let g(d) = -26*d - 493. Give g(l). 1 Let q(j) = -j**3 + 3*j - 2. Let v(m) = -8*m**3 - 4*m**2 + 31*m - 32. Let k(f) = -9*q(f) + v(f). What is k(6)? 82 Let o(j) = j - 34. Suppose 2*w + 16 = 5*z, 40*w + 58 = 5*z + 44*w. Give o(z). -28 Let u(i) be the first derivative of 3*i**2/2 - 11*i - 1. Let k = -97965 - -97969. Give u(k). 1 Let j(b) = -4*b - 12. Suppose 3*a - 5*r + 27 = -0, 15 = 5*r. Determine j(a). 4 Suppose -10*c = -6*c + 8. Let g(x) = -7*x - 14. Let z(r) = -8*r - 17. Let a(u) = c*z(u) + 3*g(u). Determine a(-6). 22 Suppose -2*f = 2, 0*k + 4*f + 11 = k. Let n(w) = 4*w**3 + 4*w - 10*w - 3*w**3 + k*w**2 + 6. What is n(-8)? -10 Let m(h) be the second derivative of -5*h**3/6 - 6*h**2 - 24*h - 19. Give m(-4). 8 Let r(f) be the third derivative of -f**6/120 - 17*f**5/60 - 13*f**4/24 + 7*f**3/2 - 4738*f**2. Calculate r(-16). -27 Suppose 79 - 4 = -5*x. Let f be 10/x + (-38)/6. Let v(w) be the first derivative of -w**2 - 8*w + 564. Determine v(f). 6 Let u(i) = i + 19. Suppose 2*q + 4*d = 4, -d = 2*q - 0 + 2. Let z be (6 + -4)/(q/15). Determine u(z). 4 Let z(h) = h - 19. Let a(l) = l**3 - 6*l**2 + 4*l + 7. Let c be a(3). Let g(i) = -i**3 - 20*i**2 - 98*i - 10. Let j be g(c). What is z(j)? -13 Let r(s) be the second derivative of -s**3/6 + 5*s**2/2 + 16*s + 142. Let u(b) = -b + 8 + 3 - b. Let z(a) = 13*r(a) - 6*u(a). Give z(-6). 5 Let m(b) be the second derivative of -3*b**3/2 + 46*b**2 - 75*b + 18. Determine m(10). 2 Let u(d) = -4*d - 42787 + 21397 - d**3 - 7*d**2 + 21392. Give u(-6). -10 Let a(k) = -k**2 - 9*k + 9. Suppose 0 = -6*c + 28*c + 198. Let y(x) = 7*x**2 + 63*x - 10. Let v be y(c). What is a(v)? -1 Suppose -4*z + 54 + 226 = 0. Let b(n) = n**3 + 36 + n - 6*n**2 - z + 36. What is b(4)? -26 Let r(k) = -415*k - 376*k + 1164*k - 375*k + 2*k**2 + 17*k**3 + 1. Suppose -2*d = -3*v + 6, 38 = -5*d - v - 3*v. Let l be (3/d)/((-2)/4). Calculate r(l). 18 Let x = -104856 - -104853. Let d(f) be the third derivative of f**4/24 - f**3/6 + f**2. Calculate d(x). -4 Let u(p) = p**3 - 4*p**2 - 13*p + 7. Suppose 0 = -252*m + 238*m + 84. Calculate u(m). 1 Let d(w) = w + 14. Let n be (-522)/406 + (-4)/(-14). Let o(p) = -3. Let f(y) = n*d(y) - 4*o(y). What is f(-9)? 7 Let j(q) = 5*q**3 - 17*q**2 - 2*q. Let o(w) = -w**3 + 3*w**2 + w. Let k(i) = -j(i) - 6*o(i). Give k(3). 6 Let o(p) be the third derivative of 5*p**4/8 + p**3/6 - 150*p**2 - 2*p - 7. Let n be 4/6 - (-11)/(-3). Let v = n - -2. Give o(v). -14 Let v = 51 + -49. Let y(a) = 3 - 133*a**v + 13 + 4*a + 128*a**2. Let x(g) = -g**2 + g + 3. Let u(h) = -11*x(h) + 2*y(h). What is u(2)? -3 Let f(q) = -12*q + 120. Let m(u) = 2*u - 16. Let d(t) = -2*f(t) - 15*m(t). Give d(5). -30 Let z be (-343026)/1197 - -3*(-2)/14. Let o = z + 288. Let p(v) be the third derivative of -v**4/6 - v**2. What is p(o)? -4 Let w(l) be the third derivative of -l**4/12 - 41*l**3/6 - 178*l**2. Calculate w(-19). -3 Let m(v) = 36*v + 248. Let i be ((-35)/15)/7 - (22/6 - -3). Determine m(i). -4 Suppose 0 = t + 1, 12*f + t + 16 = 7*f. Let j(u) = -11*u - 4. Determine j(f). 29 Suppose 2*a - 2*d + 8 = 0, -3*d = 2*a + d - 16. Let w be a*3/27*-3. Suppose 4*f + 2*o - 6 = w, 5*o + 6 = -f - 6. Let c(i) = 2*i - 4. Calculate c(f). 2 Let m(t) = -7*t - 14. Let p(n) = -21*n - 47. Let l(g) = -13*m(g) + 4*p(g). What is l(2)? 8 Let p(i) = 2*i + 8. Let d = 70 - 67. Suppose -d*a = a - 48. Suppose 0 = a*m + 12 + 96. Give p(m). -10 Suppose -4*j = -2*k, 5*k - 6 + 42 = -2*j. Let f(x) = -21*x + 23. What is f(j)? 86 Let u be (-1 + 10/4)/(387/516). Let s(o) = -o**3 - o**2 - 2*o + 4. What is s(u)? -12 Let k(i) be the first derivative of i**2/2 + 12*i + 4. Let c be (-16)/(-23 + 7)*-8. What is k(c)? 4 Let o = -1396 + 1392. Let d(j) = 2*j**3 + 3*j**2 + 5*j + 1. What is d(o)? -99 Let m = -48 - -51. Suppose 5*c - 3*p = -41, -c - 2*p + 3 = m*p. Let d(f) = f**3 + 6*f**2 - 7*f + 2. What is d(c)? 2 Suppose 12 - 31 = -c + 5*j, -2*j + 6 = 3*c. Suppose 3*l = -2*r + 28, -r = -l + c*r - 2. Let v(q) = -3*q - l + 4*q + q. Give v(7). 6 Suppose -6*d - 23 + 35 = 0. Let z(h) = 5*h - 4. Let m be z(d). Let r(x) = x**2 - 7*x + 4. Give r(m). -2 Suppose -7 - 7 = 7*t. Let b be -1 - t/3*(-33)/(-2). Let f(q) = q**2 - 8*q - 11. Calculate f(b). 9 Let v(t) = 80*t**2 - 89*t**2 - 3728*t - 3*t**3 + 3718*t + 7 + 2*t**3. What is v(-7)? -21 Let k(f) be the second derivative of f**5/20 - f**4/12 - f**3/2 + 11*f**2/2 + 4*f - 942. Calculate k(0). 11 Let w(f) = -15*f**2 - 25*f + 9. Let m(j) = 7*j**2 + 12*j - 4. Let t(o) = -13*m(o) - 6*w(o). Suppose 11*s - 9*s + 8 = 0. Give t(s). 6 Let q = -89 + 79. Let r(i) = 2*i + 13. Determine r(q). -7 Let o(i) = 9*i + 57. Let t be o(-6). Let x(w) = -w**t - 26*w + 30*w + 2*w**3 - 4 + 0 - 4*w**2. Calculate x(3). -1 Let t(c) = -c**2 + 15*c - 29. Suppose -740*j + 767*j = 54. Determine t(j). -3 Let x(c) be the second derivative of -c**4/6 - 2*c**3/3 - 11*c**2 - 5706*c. Give x(-6). -70 Let u(i) = -23*i**2 - 83 + 8*i + 0*i**3 - 4*i + 17*i - 6*i**3 + 5*i**3. What is u(-24)? -11 Let y be ((9 + -8)/(1/10))/(10/4). Let v(s) = s**2 + 2*s - 13. Calculate v(y). 11 Let l(z) be the second derivative of -3*z**3 - 23*z**2/2 + 1671*z + 1. What is l(-2)? 13 Suppose -14*d - 44 = -13*d. Let a = -40 - d. Let n(q) = -q**3 - q - 1 + a*q - q**2 + 4*q**2 + 0*q. Calculate n(3). 8 Let v(z) be the third derivative of 0*z + 0 + 5/2*z**3 - 167*z**2 - 1/24*z**4. What is v(5)? 10 Let a(o) be the second derivative of 0 + 0*o**3 + 1/2*o**2 + 1/6*o**4 - 32*o. Give a(1). 3 Suppose 5*s - 146 + 131 = 0. Let g(c) = 5*c - 5*c**s - 6*c + 2*c - 6*c**2 + 6*c**3 + 3 + 3*c. Calculate g(5). -2 Let v(m) = 63 + m**3 - 135 + 4*m**2 - m + 71. Let q(c) = c**3 - 2*c. Let b be q(2). Suppose y - 6 = b*y. Give v(y). 9 Let g(r) = -3*r**2 + r - 18. Let t(m) = -255*m - 4594. Let i be t(-18). Calculate g(i). -70 Let h be (5/(-10))/(28/280). Suppose -4*g + 0*g = 0. Let o(v) = -v - 2*v + g + 3. Give o(h). 18 Let o be (-4)/6 - (-26)/3. Let x(b) = 55*b**3 - 20*b**2 + 2*b + 47. Let j(c) = 156*c**3 - 58*c**2 + 6*c + 135. Let v(w) = -6*j(w) + 17*x(w). Determine v(o). -27 Let f(r) be the third derivative of -29*r**4/24 - 2*r**3/3 - 9799*r**2. What is f(-2)? 54 Let i be 5400/(-5)*16/(-32). Let y(f) = -535*f + 1078*f - i*f - 2. Give y(-4). -14 Let n = 2986 + -2989. Let t(o) = 19*o + 67. Determine t(n). 10 Let f(s) = s**3 - 7*s**2 + 23*s + 15. Let i(t) = 2*t**2 - 7*t - 4. Let h(p) = -2*f(p) - 7*i(p). Calculate h(2). -12 Let t(x) be the first derivative of -x**4/4 + 11*x**3/3 - 3*x - 282. Let d be ((-22)/10)/((-4)/20). Calculate t(d). -3 Let f(a) = a**3 + a - 1. Let o(r) be the third derivative of -r**6/40 + r**5/60 - r**4/12 - 4*r**3/3 - 2*r**2 - 69*r. Let q(p) = -2*f(p) - o(p). Determine q(0). 10 Let h be 1 + (64/5)/((-128)/320). Let r(w) = 2*w + 100. What is r(h)? 38 Let h(u) = 9255*u - 17 - 9258*u + 4*u**2 + 18 - 2*u**3. Let o(v) = 2*v + 10. Let c be o(-7). Let y be c/(-3) + 4/6. Give h(y). -5 Let g(t) = t**2 - t - 9. Let d be 45/(-18)*(-1 + (-21)/15). Let a = 6 - d. Calculate g(a). -9 Let s(u) = 5*u - 36. Suppose 0 = -14*h + 10*h + 28. What is s(h)? -1 Let s(c) = -c**3 - 7*c**2 + 7*c - 2. Let n be s(-8). Let h(m) be the first derivative of m**4/4 - 7*m**3/3 + 7*m**2/2 - 9*m + 1220. What is h(n)? -3 Let l(i) be the second derivative of i**8/960 - i**7/1260 + i**5/120 + 31*i**4/6 - 16*i. Let w(r) be the third derivative of l(r). Give w(1). 6 Suppose -6*k + 3*t = -4*k + 3, 2*t = 2. Let j(o) = 7*o - 3. Let v be j(k). Let u(p) = 4*p - 2. Give u(v). -14 Let j(t) be the first derivative of t**2 + 8*t - 7598. What is j(6)? 20 Let c(w) = 5*w + 14. Let a = -3051 - -3058. What is c(a)? 49 Let w(a) = -a**2 - 3*a - 1. Let s be (-1187)/(-5) - (-94)/(-235). Let z = s - 241. Give w(z). -5 Let n = -1591 - -1597. Let p(l) = 3*l + 10. Calculate p(n). 28 Let p(y) = y**3 + 14*y**2 + 3. Let d = 5363 - 5377. Determine p(d). 3 Let c(w) = 12*w + 69. Suppose 0 = -y - 0*y - t - 2, -30 = 3*y - 3*t. What is c(y)? -3 Let a(v) be the third derivative of v**5/15 + 5*v**4/24 + v**3/3 + 2*v**2 + 1613. Give a(-3). 23 Let g(d) be the second derivative of d**4/12 - 5*d**3/2 - 5*d**2 - 1785*d. Calculate g(6). -64 Let c(i) be the second derivative of -i**5/20 + i**4/6 + i**3/2 - 3*i**2/2 - i. Suppose 10*x + 30 = 7*x + 6*l, 0 = -3*x + 3*l - 12. What is c(x)? 3 Let
{ "pile_set_name": "DM Mathematics" }
-8)/(-6))*-3? 7 Let r = 8 + -6. Suppose -r*h + 3*h - 6 = 0. Let p(f) = f**3 - 6*f**2 + 2*f - 5. What are the prime factors of p(h)? 7 Suppose f - 4 = -f. Suppose 0 = -5*q + g - 1, -f*q + 2*g - 7*g + 5 = 0. Suppose t - 34 = -4*n - 0*t, q = 4*n - 5*t - 46. What are the prime factors of n? 3 Let y be ((-7)/1)/(2/8). Let u = 41 + y. List the prime factors of u. 13 Let g = 116 - 56. List the prime factors of g. 2, 3, 5 Let a(y) = 3*y - 1. Let u be a(1). Let g = 3 + u. List the prime factors of g. 5 Let i be -2 + 5 + 0 - -44. Let w = i - 18. List the prime factors of w. 29 Let l = 26 - -12. List the prime factors of l. 2, 19 Let p(y) be the first derivative of y**3/3 + 9*y**2/2 + 10*y + 3. Let q be p(-8). Suppose 0*h = -q*h + 18. List the prime factors of h. 3 Suppose 4*o - 10 = 6. Suppose 0 = -l, -l + 13 = o*b - 123. What are the prime factors of b? 2, 17 Let i(a) = 5*a + 6. List the prime factors of i(7). 41 Let j = -16 - -18. Suppose 38 + j = 2*l. List the prime factors of l. 2, 5 Suppose 4*o = -2*z + 4, 5*o - 3*o + 10 = 2*z. Suppose -z*f = -5*v - 192, -58 = -2*f - 4*v + 12. List the prime factors of f. 43 Suppose c - 56 = 2*f - 0*f, 60 = -2*f + 3*c. What are the prime factors of (f/18)/(2/(-20))? 3, 5 Suppose 4*a + 80 = 348. What are the prime factors of a? 67 Let n = -108 + 176. List the prime factors of n. 2, 17 Let y(r) = r - 2. Let p(m) = -m + 1. Let v(l) = -4*p(l) - 5*y(l). What are the prime factors of v(-11)? 17 Suppose -4*q = -9 - 11. Suppose -74 = q*z - 7*z. What are the prime factors of z? 37 Suppose 29 = 3*d - 97. Suppose 4*v + d = 3*v. List the prime factors of 3/((v/8)/(-7)). 2 Let z = 8 + 6. What are the prime factors of z? 2, 7 List the prime factors of 22*((-35)/(-10) - 1). 5, 11 Let y = -14 - -18. Suppose -5*t - c + 140 = -53, 0 = y*t + 3*c - 150. What are the prime factors of t? 3, 13 Let l(k) = k**2 + 10*k - 6. Let d be l(-9). What are the prime factors of (-351)/d + (-6)/15? 23 Suppose d + 1 = -1. List the prime factors of d + (-2)/((-4)/42). 19 Let t(n) = -n**2 - 5*n + 7. Let h be t(-6). Suppose 16 = 4*p, -5*c + p - h = -3*p. Suppose 0 = -2*w - c*w + 60. List the prime factors of w. 2, 3 Let m = 43 + -20. Let i = -26 - -14. Let p = m + i. List the prime factors of p. 11 What are the prime factors of (-433)/(-4) - 2/8? 2, 3 What are the prime factors of (-4)/16 - (-564)/16? 5, 7 Let n = 69 + -42. Suppose -n = -3*h - 2*f + 19, -f + 5 = 0. Let l = -3 + h. List the prime factors of l. 3 Let i be (-4 + 4)/(1 + -3). Let c = 14 - i. List the prime factors of c. 2, 7 Let g(x) = -x**2 + 2*x + 13. Let f be g(10). Let n = -30 - f. What are the prime factors of n? 37 Let t = 6 + -9. Let h(n) be the third derivative of -n**4/24 + n**3/6 + 2*n**2. What are the prime factors of h(t)? 2 Suppose 4*v = 5*m - 126 - 189, -3*m + 189 = 3*v. List the prime factors of m. 3, 7 Let f(d) = -d**2 - d - 8. Suppose 0 = y - 6*y. Let j be f(y). Let a = j + 16. List the prime factors of a. 2 Let k be (-1)/(-2) - (-9)/6. Suppose 2*m - k*v = -v + 22, -3*v = -4*m + 42. List the prime factors of m. 2, 3 Suppose 5*a = 18 - 3. Suppose 5*v - j - 4*j = 50, 3*v = -a*j + 30. What are the prime factors of v? 2, 5 Suppose -80 = 9*y - 10*y + 4*b, 2*y - 116 = -3*b. What are the prime factors of y? 2 Let m(p) = 2*p**2 - 2*p**2 + 6*p - p**2 + 9. What are the prime factors of m(7)? 2 Let d be (-4 + 1 + 2)*-5. Suppose -d*b + 2*s = -101, 3*b - 4*b - 4*s = -7. What are the prime factors of b? 19 Let f(v) = v + 4. Let j be f(-6). List the prime factors of ((-9)/j)/((-12)/(-16)). 2, 3 Let y(l) = -4*l**2. Let i be y(1). Let p = -4 - i. Suppose -2*q + 4*u + 4 = -5*q, -q - 4*u - 12 = p. List the prime factors of q. 2 Suppose 0 = 14*v - 18*v + 212. List the prime factors of v. 53 Let l(d) = 4*d + 55. What are the prime factors of l(0)? 5, 11 List the prime factors of 24*-5*(-4)/10. 2, 3 Suppose 0*g + 2*s = 5*g - 173, -136 = -4*g + 4*s. Let t be (-10)/g - (-130)/14. Let p = t - 6. List the prime factors of p. 3 Let u = 6 - 13. Let p = 33 - u. Suppose 10*j - 5*j - p = 0. List the prime factors of j. 2 Suppose 6 = 5*p - 4. Let t = -2 - p. Let c(l) = l**2 + l - 2. List the prime factors of c(t). 2, 5 Let l = -28 + 16. Let x be 90/l*2/(-3). Let m(o) = -o**3 + 5*o**2 + o + 1. What are the prime factors of m(x)? 2, 3 List the prime factors of -18*-7*1/3. 2, 3, 7 Suppose -8 = -5*j + 3*j. Suppose -4*z = -2*o - 66, z = -o - j*o + 22. Suppose z - 3 = 2*c. What are the prime factors of c? 7 What are the prime factors of (843 + -2 + 2)/3? 281 Let n(s) = -s**2 + 7*s + 6. Let o be n(7). What are the prime factors of (-3 + -5)*(-3)/o? 2 Suppose 3*h - 4*o - 11 = 0, o + 17 = 5*h - 7. Suppose -2*x - h*z = -39 + 16, 5*z + 34 = x. What are the prime factors of x? 19 Suppose n - 4 = -3. Suppose j = -n, -11 = -3*f + 3*j - j. List the prime factors of (f + (-2)/1)*3. 3 Suppose 0 = 2*k - 6*k - 3*j + 30, 26 = 3*k + 4*j. Let z = 1 + k. What are the prime factors of z? 7 Let k be (108/(-10))/((-3)/10). Suppose -24 = -3*x + k. List the prime factors of x. 2, 5 Let q = 72 - 51. Let n = q - 10. What are the prime factors of n? 11 Suppose -37 = 2*b - y - 515, -4*b + y = -954. List the prime factors of b. 2, 7, 17 Let z(g) = 3*g + 2. Let t = 3 + -3. Suppose -2*u + t*m = m - 1, -4*m = -u + 14. List the prime factors of z(u). 2 Let z = 6 + -13. Let v(c) be the first derivative of -c**3/3 - 5*c**2 - 10*c + 1. List the prime factors of v(z). 11 What are the prime factors of 152/16 + 2/4? 2, 5 Suppose 2*m = m + 59. List the prime factors of m. 59 Let p = -11 + 5. What are the prime factors of (-214)/p - 7/(-21)? 2, 3 Suppose -5*j + a = -25, 2*a - 5 = -j - 2*a. Let l = 4 + 0. Suppose l*u + u = 0, 4*y - j*u = 16. What are the prime factors of y? 2 Suppose -28 = 7*v - 3*v. Suppose 3*r + 3 = -f + r, -5*f - 3*r - 1 = 0. Let c = f - v. What are the prime factors of c? 2 Suppose y - 3 - 2 = 0. Suppose -3*s = y*a - 1, -5*s + 2*a = -13 + 1. Let v = 20 - s. List the prime factors of v. 2, 3 Let j = -9 + 15. Suppose -4*d = -j*d + 10. Suppose 3*y = d + 1. List the prime factors of y. 2 Let w = -16 + 25. Let u be w/(-6)*(-4)/3. Suppose -u*m + 11 = -m. What are the prime factors of m? 11 Let u = -6 - -8. Suppose -u*y + 55 = 3*y. List the prime factors of y. 11 Let d(s) = 17*s - 36. What are the prime factors of d(12)? 2, 3, 7 Let i = 68 + 74. List the prime factors of i. 2, 71 Let c(u) = 3*u + 55. List the prime factors of c(10). 5, 17 Suppose 3*n - 1 = 5. Suppose 0*v - 5*v - 32 = -4*f, -5 = n*v + f. Let j(t) = -t**3 - 4*t**2 - t. List the prime factors of j(v). 2 What are the prime factors of 2 + 5 + 615/3? 2, 53 Let x = -5 - -12. List the prime factors of x. 7 Let c(g) = -g**3 - 4*g**2 + 3*g - 11. What are the prime factors of c(-8)? 13, 17 Suppose 47 = 3*s - 4*t, 2*s - 88 = -3*s - 3*t. What are the prime factors of s? 17 Suppose 4*k + 3*q - 7 = 4*q, 0 = -q + 5. Let r be (56/(-12))/((-1)/k). Let s = -1 + r. List the prime factors of s. 13 Let x(o) = 2*o**2 - o - 1. Let w be x(-1). Suppose w*b - 1 = 3. Suppose t - b = 14. List the prime factors of t. 2 Let j(n) = 3*n - 2. Let c be j(2). Suppose -1 = -b + c. List the prime factors of b. 5 Let s(a) = a + 8. List the prime factors of s(0). 2 Let s = -8 - 30. Let g be (-1 + 4)/(3/(-26)). Let n = g - s. List the prime factors of n. 2, 3 Let h = -99 - -160. What are the prime factors of h? 61 Suppose -5*x + 13 = 3*i - 89, -14 = -x + i. What are the prime factors of (-3)/(x/14)*-12? 2, 7 Let t be ((-80)/25)/(3/(-60)). Suppose -l = -3*l + t. List the prime factors of l. 2 Suppose 15 = 4*d - 53. What are the prime factors of d? 17 Suppose 5*q - 5*h - 885 = 0, 0 = 2*q + q - h - 539. List the prime factors of q. 181 Suppose 0 = 4*x - 2 + 6. Let o be (1 - (x - 0)) + 0. Suppose -l - o*l + 30 = 5*z, -z + 30 = 3*l. What are the prime factors of l? 2, 5 Let j(d) = d**2 + d + 4. Let c be j(-3). Let m = c + -8. Suppose -1 = -m*h + 5. List the prime factors of h. 3 Suppose 2*s - 48 = 2*x, -5*x + 0*x = -3*s + 80. Let h be (-6)/(-4)*s/15. What are the prime factors of ((-4)/3)/(h/(-3))? 2 Let x(z) = -z**3 + 8*z**2 + 8*z + 13. Let n be x(9). Suppose 3*q - n*a = 0, -2*q + a = 2*q - 13. List the prime factors of q. 2 Suppose -15*v + 6 = -12*v. What are the prime factors of v? 2 Let r = -206 + 126. Wha
{ "pile_set_name": "DM Mathematics" }
of -b**8/784 + b**7/49 - 9*b**6/70 + 27*b**5/70 - 27*b**4/56 - 155*b**2. Determine t so that d(t) = 0. 0, 1, 3 Solve -10*m**2 + 0*m**3 + 24 - 3*m**2 - 7*m**2 + 4*m**2 + 4*m**3 + 4*m = 0. -1, 2, 3 Let l(d) be the third derivative of d**7/1680 - d**6/160 + 11*d**5/480 - d**4/32 + 108*d**2 + d. Suppose l(p) = 0. What is p? 0, 1, 2, 3 Let v = -9 + 13. Suppose 0 = -v*y - y. Factor 2*c**2 + y*c + 2*c - 2*c**4 - 2*c**3 + 0*c**3. -2*c*(c - 1)*(c + 1)**2 Let k be (-8)/(-48) - 1330/(-12). Factor 56*s**4 + 51*s**4 - 2*s**2 - k*s**4 + 6*s**2. -4*s**2*(s - 1)*(s + 1) Solve -156 + 63 - 2*w**2 - w**2 + 174*w - 78 = 0 for w. 1, 57 Suppose -2*w = -4*s - 6, 0 = 2*s + 6. Let z(t) = 36*t**2 - 44*t + 24. Let p(o) = 7*o**2 - 9*o + 5. Let u(x) = w*z(x) + 16*p(x). What is k in u(k) = 0? 1, 2 Let o = 833 - 7493/9. Let y(u) be the first derivative of -o*u**2 - 1/27*u**3 - 16/9*u - 1. Solve y(p) = 0 for p. -4 Let k(u) be the second derivative of u**4/16 - 19*u**3/8 - 15*u**2/2 + 136*u. Factor k(c). 3*(c - 20)*(c + 1)/4 Factor 0*m**2 + 0 + 0*m + 86/3*m**3 + 2/3*m**4. 2*m**3*(m + 43)/3 Suppose 154*g + 2/15*g**3 - 490/3 + 46/5*g**2 = 0. Calculate g. -35, 1 Let q(k) be the second derivative of k**4/24 - 21*k**3/2 + 3969*k**2/4 - 27*k + 4. Factor q(t). (t - 63)**2/2 Let 2*p - 123*p**2 + 119*p**2 + 3*p**4 - 5*p**5 + p**4 + 3*p**5 = 0. What is p? -1, 0, 1 Let d(w) be the first derivative of 9 + 0*w**2 - 5/4*w**4 + 0*w + 10/3*w**3. Factor d(m). -5*m**2*(m - 2) Suppose 36*t**3 - 99*t**2 + 3*t**4 - 78*t**3 - 81*t + 27*t**3 = 0. Calculate t. -3, -1, 0, 9 Let g(x) be the first derivative of -x**4/6 + 11*x**3/3 - 10*x**2 - 32*x + 3. Let c(k) be the first derivative of g(k). Factor c(i). -2*(i - 10)*(i - 1) Suppose -2*i + 2*o - 5*o - 8 = 0, 0 = 4*i + 3*o + 4. Let b be 16/(-180)*(-5)/4*i. Suppose 0*k + b*k**2 - 2/9 = 0. What is k? -1, 1 Let j be (-46)/(-8) - 8/(-32). Let g be (3 - (-122)/(-42))*j/2. Suppose 4/7 - 6/7*b**2 + g*b**3 + 2/7*b**4 - 2/7*b = 0. Calculate b. -2, -1, 1 Let g(d) be the first derivative of -d**3/4 - 33*d**2/8 - 27*d/2 + 53. Solve g(i) = 0. -9, -2 Let w(k) = 9*k**2 - 3*k**2 + 5*k - 2*k**2 + 3. Let v(o) = -12*o**2 - 16*o - 8. Let g(l) = 3*v(l) + 8*w(l). Factor g(h). -4*h*(h + 2) What is w in w**2 - 108 - 38*w + 220 + 249 = 0? 19 Let r(q) = -q**2 + 25*q - 55. Let b(a) = -26*a + 58. Let z(g) = -3*b(g) - 2*r(g). Factor z(f). 2*(f - 2)*(f + 16) Let c(i) be the third derivative of -i**8/1680 + i**6/200 - i**5/150 + 2*i**2 - 3*i. Find w such that c(w) = 0. -2, 0, 1 Suppose -62 = -5*v + 1343. Let r = v - 835/3. Factor 2/3*h**4 + 0 + 8/3*h**2 + 0*h - r*h**3. 2*h**2*(h - 2)**2/3 Factor 0*x + 7/4*x**2 - 1/4*x**4 + 0 - 3/2*x**3. -x**2*(x - 1)*(x + 7)/4 Let d(v) be the third derivative of v**8/112 - v**7/7 - 7*v**6/20 + 8*v**5/5 + 13*v**4/8 - 11*v**3 + 139*v**2. What is j in d(j) = 0? -2, -1, 1, 11 Let h(r) = 15*r**2 - 13*r - 5. Let p(s) = 46*s**2 - 41*s - 13. Let f(z) = -8*h(z) + 3*p(z). Find l such that f(l) = 0. 1/18, 1 Suppose -3*a - 5*w - 12 = 0, -5*a + 0*w = 2*w + 1. Let z be (a/(-3))/(2/(-12)). Determine k so that 4/13*k + 2/13*k**z + 2/13 = 0. -1 Let z(s) be the third derivative of s**6/40 - 13*s**5/30 + 2*s**4/3 + 84*s**2. Suppose z(q) = 0. Calculate q. 0, 2/3, 8 Let g(x) be the second derivative of 2*x**6/15 + x**5/5 - 3*x**4 + 22*x**3/3 - 8*x**2 + 37*x. Solve g(y) = 0 for y. -4, 1 Let d(o) be the first derivative of 3*o**5/25 + 63*o**4/20 - 26*o**3/5 - 126*o**2/5 + 264*o/5 - 227. Solve d(a) = 0 for a. -22, -2, 1, 2 Let j(d) = 2*d**3 + 5*d**2 + d - 5. Suppose 0*v - 3 = -v. Let z(h) = 2*h**3 + 6*h**2 + 2*h - 6. Suppose 0*n + 2*n = -8. Let x(u) = n*j(u) + v*z(u). Factor x(c). -2*(c - 1)*(c + 1)**2 Let w(f) = -3*f**2 - 76*f. Let z(o) = 21*o**2 + 534*o. Let b(r) = -15*w(r) - 2*z(r). Solve b(s) = 0 for s. -24, 0 Let x = 5769 - 5766. Factor 5/3*d**x + 0 + 0*d + 5/3*d**2. 5*d**2*(d + 1)/3 Let j be 544/(-40) + 2/(-5). Let n = j + 14. Factor -7*g**2 + 3*g**2 + 0*g + n*g + 4. -4*(g - 1)*(g + 1) Let m(j) = -j**2 - j - 1. Let l(v) = -v + 14 + 4*v**2 - 2 + 11*v. Let u(o) = l(o) + 6*m(o). Factor u(r). -2*(r - 3)*(r + 1) Let a(k) be the second derivative of -1/114*k**4 - 9*k + 0*k**2 + 2/57*k**3 + 0. Factor a(j). -2*j*(j - 2)/19 Let m(o) = 5*o**2 - 12*o + 1. Let w(p) = -p**2 + 3*p. Let g = 23 + -5. Let z(q) = g*w(q) + 4*m(q). Find a, given that z(a) = 0. -2, -1 Factor 3*l**3 + 6*l - 12*l**2 + 2*l - 50*l - 3*l**2. 3*l*(l - 7)*(l + 2) Let u be 4/501*((-35)/28)/(-5). Let a = 6005/3507 + u. Let -a*l - 2/7*l**2 - 18/7 = 0. Calculate l. -3 Let d be (-2)/(-15)*(14 - 1395/105). Let m(x) be the first derivative of -32/7*x + 8/7*x**2 - 11 - d*x**3. Factor m(b). -2*(b - 4)**2/7 Let k(w) be the third derivative of -w**8/448 - w**7/35 - 9*w**6/80 - w**5/5 - 5*w**4/32 + 217*w**2. Determine f, given that k(f) = 0. -5, -1, 0 Let d be 3/((-27)/(-70)) - (-36)/162. Factor 3*o**3 - 4*o**2 + 2 + 8*o**2 + d*o + 8*o**2 + 5*o**3 + 2*o**4. 2*(o + 1)**4 Let z be (-160)/16 - (-8 + -4). Factor 0*x + 0 + 1/3*x**4 + 0*x**z - 1/3*x**3. x**3*(x - 1)/3 Let g(o) be the first derivative of -2*o**5/15 - o**4/6 + 4*o**3/9 + 35. Solve g(k) = 0 for k. -2, 0, 1 Let b(k) be the second derivative of -12*k + 1/6*k**4 + 7*k**2 + 0 + 8/3*k**3. Factor b(i). 2*(i + 1)*(i + 7) Let t = -81 - -83. Factor 24*k**t - 20*k**2 + 0*k**4 - k**4. -k**2*(k - 2)*(k + 2) Let g(q) be the second derivative of -1/6*q**6 + 0*q**3 + 0 + 0*q**2 + 3/4*q**5 - 5/6*q**4 - 3*q. Factor g(w). -5*w**2*(w - 2)*(w - 1) Let k(x) be the first derivative of 0*x + x**2 - 15 + 2/3*x**3. Solve k(d) = 0. -1, 0 Let p(r) = 2*r**2 + r - 19. Let m be p(3). Let k be 2/8 - (-2)/(-8). Factor k - 1/5*d**4 + 0*d + 1/5*d**m - 1/5*d**3 + 1/5*d**5. d**2*(d - 1)**2*(d + 1)/5 Let l be -1*2 - (-3 + 1). Suppose 13*b = 9*b. Factor m**5 - m**3 + b*m**4 + l*m**4 + 2*m**2 - 2*m**4. m**2*(m - 2)*(m - 1)*(m + 1) Let x be ((-60)/(-32))/(3 - 15/10). Let v(g) be the first derivative of -5/4*g**2 - 1/4*g**5 + x*g + 0*g**3 + 4 + 5/8*g**4. What is s in v(s) = 0? -1, 1 Let i = 6 + -4. Let a = i - 0. Factor 12*q**4 - 5*q + 6*q**a - 27*q**3 + 5*q + 0*q**2. 3*q**2*(q - 2)*(4*q - 1) Let h be 2/5*10/(-8)*-4. Suppose 4*k = 5*w - 15, h*k = -2*w - 1 + 7. Factor 0*v**2 + 0*v + 2/11*v**4 + 2/11*v**3 + k. 2*v**3*(v + 1)/11 Let l be 198/42 + 4/14. Let h(s) = s**3 - 4*s**2 - 4*s - 1. Let q be h(l). Let -4*r - 4*r**2 + 4*r + q - 4*r + 2*r**3 + 2*r**3 = 0. What is r? -1, 1 Suppose -q - 2*q + 12 = 0. Let u be ((-6)/60)/(2/q)*-1. Factor u*j**5 - 3/5*j**3 + 4/5*j - 2/5*j**4 + 0 + 4/5*j**2. j*(j - 2)**2*(j + 1)**2/5 Let p(t) = 55*t**2 - 270*t - 3675. Let i(q) = 2*q**2 - 1. Let v(x) = 30*i(x) - p(x). Suppose v(r) = 0. What is r? -27 Suppose g - 6*g - 3*p = 2, 0 = 3*g + 4*p + 10. Suppose 0 = 66*l - 64*l. Factor 0 + l*t + 1/4*t**3 + 0*t**g. t**3/4 Let n = 47 + -43. Factor -2*y**5 - 2*y**5 + 3 - 2*y**2 + 10*y**2 - 7 + 8*y**3 - 4*y - n*y**4. -4*(y - 1)**2*(y + 1)**3 Factor 68*l - 68*l + 16*l**4 - 10*l**4 - 2*l**3 - 4*l**4. 2*l**3*(l - 1) Let n(z) be the second derivative of 2*z**7/21 + 2*z**6/15 - 6*z**5/5 - 4*z**4/3 + 16*z**3/3 + 40*z + 3. Solve n(c) = 0 for c. -2, 0, 1, 2 What is y in -198 + 771*y**2 - 105*y + 765*y**2 - 1539*y**2 = 0? -33, -2 Let z(x) be the second derivative of x**4/6 + 2*x**3/15 - x - 161. Factor z(n). 2*n*(5*n + 2)/5 Suppose 15/4 + 27/2*w**2 - 6*w**3 + 3/4*w**4 - 12*w = 0. Calculate w. 1, 5 Let o be ((-8)/44)/(1/(-2)). Let y be -1*(5/(-10))/(8/48). Solve -14/11*j**4 - 2*j**2 + 32/11*j**y + o*j + 0 = 0. 0, 2/7, 1 What is k in 44*k - 741 + 63 + 2 + 8*k - k**2 = 0? 26 Let p be (6/10)/(11/55). Determine f so that -34/13*f**2 + 42/13*f + 6/13*f**p + 18/13 = 0. -1/3, 3 Let p(t) be the first derivative of 4*t**5/5 + 29*t**4 + 224. Factor p(k). 4*k**3*(k + 29) Let f(i) be the second derivative of 0 - 1/3*i**4 - 10/3*i**3 + 18*i - 8*i**2. Factor f(z). -4*(z + 1)*(z + 4) Suppose -2*t + 20 = 3*n - 5*n, 4*t = -3*n + 33. Suppose u - 9*u**3 - 3*u**4 - t*u**2 + 6*u - 10*u = 0. What is u? -1, 0 Let c = -21186 - -21188. Factor 80*x + 5/3*x**3 + 320/3 + 20*x**c. 5*(x + 4)**3/3 Determine t so that -1/3*t - 7/3*t**2 + 2 + 1/3*t**4 + 1/3*t**3 = 0. -3, -1, 1, 2 Let r(h) be the third derivative of h**6/90 - 2*h**5/45 - 29*h**4/18 + 20*h**3/3 + 630*h**2. Factor r(y). 4*(y - 6)*(y - 1)*(y + 5)/3 Let y(g) = g**2
{ "pile_set_name": "DM Mathematics" }
ive of n(f) wrt f? -176*f**3 Let a(k) be the second derivative of -2647*k**8/56 - 6*k**4 - 2*k**3/3 + 46*k - 14. Find the third derivative of a(j) wrt j. -317640*j**3 Let z(k) be the second derivative of 309*k**4/4 - 841*k**3/6 - k**2 + k + 1208. Find the second derivative of z(m) wrt m. 1854 Let a(h) be the second derivative of 0*h**3 + 0*h**4 - 2 - 17*h**2 + 25*h + 101/20*h**5. What is the derivative of a(t) wrt t? 303*t**2 Suppose -1069 = 6*j - 1087. Find the third derivative of -286*o**j + 40*o**4 + 13*o + 81*o**4 - 3*o**2 + 286*o**3 wrt o. 2904*o Let p(d) be the first derivative of 316*d**4 + 1121*d**2 + 1639. Find the second derivative of p(m) wrt m. 7584*m Let h(l) be the third derivative of l**6/120 - 27*l**5/2 + 76*l**3 + 170*l**2 + 6. Find the first derivative of h(i) wrt i. 3*i**2 - 1620*i Find the third derivative of -1 - 2809*q**2 + 1033*q**2 + 33*q**4 + 3 - 1056*q**4 wrt q. -24552*q Let m(x) = 2606*x + 4198. Let j(g) = -1310*g - 2100. Let q(y) = 7*j(y) + 4*m(y). What is the derivative of q(a) wrt a? 1254 Let t = 108 + -105. Suppose 0 = y + t, 5*y + 21 = p + 4. What is the second derivative of -150*c**2 + 150*c**p - 5*c + 12*c**3 wrt c? 72*c Let c = -79 + 91. Let r be ((-15)/9)/(35/c + -3). What is the third derivative of 15*t**2 - r*t + 20*t - 20*t**4 wrt t? -480*t Let v(i) be the second derivative of 199*i**6/15 - 863*i**4/12 + 319*i + 2. Find the third derivative of v(u) wrt u. 9552*u Let g(n) be the second derivative of 0*n**2 + 2 - 15*n - 25/2*n**3 + 1/4*n**4 + 9/20*n**5. What is the second derivative of g(a) wrt a? 54*a + 6 Let g(w) be the first derivative of 2372*w**3/3 + 117*w**2/2 + 714. Find the second derivative of g(f) wrt f. 4744 Let o be 29 - (-4 - 3 - -12). What is the derivative of 22*v - 88*v - 123 - o*v wrt v? -90 What is the second derivative of -1451 + 502*q**2 + 1451 + 42*q - 2663*q - 94*q**2 wrt q? 816 Let c(n) be the second derivative of -233*n**7/7 + 155*n**4/4 - 2307*n. Find the third derivative of c(o) wrt o. -83880*o**2 Let b(u) be the first derivative of -8*u**3 - 2/5*u**5 - 3/4*u**4 - 83 + 0*u + 0*u**2. Find the third derivative of b(n) wrt n. -48*n - 18 Let d(v) be the first derivative of 153 - 1/5*v**5 + 5/3*v**3 + v + 0*v**4 - 2*v**2. Find the second derivative of d(k) wrt k. -12*k**2 + 10 Let k = 21 - -20. What is the first derivative of 126 - k*m**4 + 137*m**4 + 14*m**4 wrt m? 440*m**3 Let j(m) = m**4 - 228*m**3 - m - 2903. Let v(z) = -6*z**4 + 1140*z**3 + 4*z + 14547. Let s(p) = -11*j(p) - 2*v(p). What is the derivative of s(i) wrt i? 4*i**3 + 684*i**2 + 3 Let b(d) be the first derivative of d**6/6 - 597*d**5/5 - 5*d**3/3 + 255*d**2/2 + 8668. What is the second derivative of b(v) wrt v? 20*v**3 - 7164*v**2 - 10 Suppose -5*c - 339 = 5*y - c, 0 = 2*y - 2*c + 150. Let p = y + 74. Find the third derivative of -44*s**2 + 25*s**2 - 5*s**3 - 27*s**p wrt s. -192 Find the second derivative of -5*a**4 + 14*a**5 - 2128 + 1065 + 3*a**5 + 1064 - 1296*a wrt a. 340*a**3 - 60*a**2 Let y(p) be the first derivative of 805*p**6/6 - 3833*p**2/2 + 704. Find the second derivative of y(d) wrt d. 16100*d**3 Let f(r) be the first derivative of -7*r**6/3 + 26*r**5 + 3688*r**3/3 - 2583. What is the third derivative of f(z) wrt z? -840*z**2 + 3120*z Let c(j) be the second derivative of 0*j**3 + 21/2*j**2 + 51/10*j**5 + 0 + 0*j**4 + 42*j. Find the first derivative of c(m) wrt m. 306*m**2 Suppose 0 = -15*j + 4 + 26. Let a(n) = n**3 - 2*n**2 - n - 5. Let t be a(4). What is the derivative of 82*o - 1 - t*o**j - 82*o wrt o? -46*o Let v(y) = -1464*y - 2939. Let m(i) = 488*i + 974. Let n(u) = -7*m(u) - 2*v(u). Find the first derivative of n(b) wrt b. -488 Let d(l) be the first derivative of 2*l**7/7 - l**6/6 - 483*l**4/4 + l**3 - 48*l + 3057. What is the third derivative of d(k) wrt k? 240*k**3 - 60*k**2 - 2898 Let g(v) be the first derivative of -28*v**5/5 - 101*v**4/4 - 3100*v**2 - 2*v - 10536. What is the second derivative of g(d) wrt d? -336*d**2 - 606*d Let r = 130 - 125. Find the third derivative of -i**2 - 16*i**r - i**2 + 90*i**5 + 23*i wrt i. 4440*i**2 Let k(q) be the first derivative of -9*q**5/5 + 125*q**4/4 - 947*q**2 - 121. Find the second derivative of k(s) wrt s. -108*s**2 + 750*s Let h(v) be the third derivative of -1249*v**6/60 + v**5/30 + 113*v**4/24 - 276*v**2. What is the third derivative of h(x) wrt x? -14988 Suppose -4*z + 45636 = -7260. Find the second derivative of z*y**3 + 4*y**4 - 13224*y**3 + y**5 + 39*y wrt y. 20*y**3 + 48*y**2 Let l(t) = 659*t**4 + 18*t - 457. Let s(p) = -660*p**4 - 21*p + 456. Let n(r) = 7*l(r) + 6*s(r). What is the first derivative of n(y) wrt y? 2612*y**3 Let r(g) = 42*g - 3. Let n be 0 + (-4)/(-18) - (-98)/126. Let m be r(n). Differentiate -40*o**3 + m - 39*o**3 + 75*o**3 wrt o. -12*o**2 Let v(w) = -688*w**3 + w**2 - 4*w - 1850. Let m(j) = j**3 - 2*j + 5. Let y(s) = -2*m(s) + v(s). What is the first derivative of y(o) wrt o? -2070*o**2 + 2*o Let q(s) be the first derivative of 0*s**5 + 0*s**4 + 0*s**6 + 26/7*s**7 - s**2 - 87 + 82/3*s**3 + 0*s. What is the third derivative of q(u) wrt u? 3120*u**3 Let s(g) = 1. Let f(m) = -18*m**4 - 18*m - 3. Suppose 7*q = -7*q - 112. Let h = q - -10. Let w(k) = h*f(k) + 6*s(k). Find the second derivative of w(p) wrt p. -432*p**2 Suppose -6*k + 71 - 47 = 0. What is the first derivative of 39*x - k*x - 18*x + 5*x - 6*x**2 + 234 wrt x? -12*x + 22 Let d = -384 + 386. Find the third derivative of -9*s**2 + 12*s**2 - 34*s**3 - 5*s**d - 2*s**2 + 4*s wrt s. -204 What is the third derivative of -33560453*u**6 + 0 - u + 33571360*u**6 + 3 - 80*u**2 wrt u? 1308840*u**3 Let y(u) be the third derivative of -173*u**2 - 15/2*u**4 + 0*u - 89/3*u**3 + 0. What is the derivative of y(i) wrt i? -180 Find the first derivative of 0*x**3 - 412 - 4*x**3 + 7*x**3 + 249*x - 965*x - 4*x**3 wrt x. -3*x**2 - 716 Let g(t) be the third derivative of -319*t**5/60 - 2165*t**3/3 - 2*t**2 - 732. Differentiate g(l) wrt l. -638*l Let j(s) = -2*s**3 - 4*s**2 + 7*s + 24. Let f be j(-4). Differentiate 20 - 66*b + 139*b + 3*b**3 - f*b wrt b. 9*b**2 + 13 Let q(t) be the first derivative of -1254*t**5/5 + 774*t - 2146. Differentiate q(r) with respect to r. -5016*r**3 Let g(q) be the second derivative of 0 - 6*q**2 - 38/3*q**3 - 70*q. Differentiate g(y) wrt y. -76 Let z(x) be the first derivative of 0*x + 0*x**2 + 18*x**3 + 0*x**5 + 0*x**4 + 44/3*x**6 + 132. What is the third derivative of z(v) wrt v? 5280*v**2 Let g = -169 - -165. Let o(q) = 2*q**2 + 2*q - 29. Let c(p) = 3*p**2 + 3*p - 28. Let r(u) = g*o(u) + 3*c(u). Differentiate r(w) wrt w. 2*w + 1 Let q(b) = 2*b**3 - 5*b**2 + 8*b - 10. Let g be q(4). Suppose -5*i + g = -10. Find the third derivative of i*l**2 + l**2 + 18*l**6 - 4*l**2 wrt l. 2160*l**3 Let z(s) = -6*s + 12*s - 14*s + 2. Let a be z(0). Find the third derivative of 1 + 33*m**5 + 122*m**a - 151*m**2 - 1 wrt m. 1980*m**2 Let u(v) = 13493*v**4 + 6*v**2 - 3*v + 8577. Let p(i) = -8*i**4 - 2*i**2 + i - 2. Let f(y) = -3*p(y) - u(y). Differentiate f(l) with respect to l. -53876*l**3 Suppose t = 3*j - 21, 0 = t + j - 3 + 4. Let q(i) = -i**2 + i. Let g(b) = -67*b**2 + 6*b + 9. Let v(d) = t*q(d) + g(d). What is the derivative of v(s) wrt s? -122*s Let n(c) be the first derivative of 2*c**2 - 24*c - 17. Let r be n(7). What is the derivative of 15*o**3 - r*o**3 - 3 - 10 + 4*o**3 wrt o? 45*o**2 Differentiate -358*a**3 - 126*a**3 + 1070 - 33*a**2 - 32*a**2 + 63*a**2 with respect to a. -1452*a**2 - 4*a Let s be (5920/(-37))/((-2 + 0)/2). What is the second derivative of -75*d - 3 + 12 + s*d**5 - 5*d**3 + 5*d**3 + 71*d wrt d? 3200*d**3 What is the third derivative of 25*w**3 + 2*w**3 - 2*w**3 + 2*w**2 + 88*w - 34*w**3 - 12*w**2 - 16*w**4 wrt w? -384*w - 54 Let i be 2 - (-5)/(20/648). What is the third derivative of -19*h + i*h**3 - 9*h + h**2 - 225*h**3 wrt h? -366 Let v(f) be the second derivative of -2/15*f**6 + 0 + 0*f**3 + f + 0*f**5 - 5/12*f**4 - 2*f**2. What is the first derivative of v(b) wrt b? -16*b**3 - 10*b Let r = -44 - -46. Suppose 10*f - r*f - 32 = 0. What is the second derivative of -23*j + 2*j**f + 12*j**3 - 24*j**3 + 12*j**3 wrt j? 24*j**2 What is the derivative of -4176*j - 1895 + 8738*j + 1235*j wrt j? 5797 Let r(u) = 743 + 2*u - u - 744 - 2*u**2. Let g(j) = 41*j**2 -
{ "pile_set_name": "DM Mathematics" }
, -2*h = -5*c - 40020. Round h to the nearest one hundred thousand. 0 Suppose 4*m - 4*z - 93 = -1, 2*m = -z + 58. Let g(b) = 5*b + 18. Let x be g(-4). Let a = x + m. Round a to the nearest 10. 30 Let n = -0.045 - 6.205. Let g = 5.1 + n. What is g rounded to 1 dp? -1.2 Let t = 73.7 + -73.6457. Let u = -0.0316 + t. Round u to 3 dps. 0.023 Let w(q) = -q**2 - 7*q + 2. Let r be w(-7). Suppose -g - 3*x = -12203, -r*g = -6*g - 2*x + 48802. Round g to the nearest 1000. 12000 Let u(v) = -264063*v**3 - 3*v**2 - 5*v - 4. Let m be u(-4). What is m rounded to the nearest 1000000? 17000000 Let k = -367 - -250. Let o = 116.999802 + k. What is o rounded to five dps? -0.0002 Let g = 2594474.9907 - 2594681. Let q = 206 + g. What is q rounded to three decimal places? -0.009 Let l(w) = w**2 - w - 3. Let z be l(3). Suppose -15 + 3 = -z*p. Let s be 6/(-3)*6/p. Round s to the nearest 10. 0 Let u(j) = 310*j**2 - 2*j - 1. Let a be u(-1). Let w = -176 + a. Suppose -2*o + w - 29 = 0. Round o to the nearest ten. 50 Let r = -4 + 1.6. Let f = 2.400045 + r. What is f rounded to 5 dps? 0.00005 Let l = -1 - -5. Suppose -n - 2 + 3 = 0, -5*k - l*n - 176 = 0. Let t = -56 - k. What is t rounded to the nearest 100? 0 Let j = 62.99999899 - 63. Round j to 7 decimal places. -0.000001 Let i = -2223 - -1077. Let l = -4846 - i. Round l to the nearest one thousand. -4000 Let q = 9.5 - 2. Let x = q - 7. Let s = -0.9 + x. What is s rounded to 0 dps? 0 Let o = -0.6 + 0.75. Let a = o - -0.21. What is a rounded to one dp? 0.4 Suppose -3 + 9 = -a - g, a = 5*g + 24. Let w be (a - 0)*1 + -159. What is w rounded to the nearest 100? -200 Let i = 22 + -24.6. Let b = -68801374.60000076 + 68801372. Let f = b - i. Round f to 7 dps. -0.0000008 Let t be (-850001)/(-5) + 6/(-30). What is t rounded to the nearest 100000? 200000 Let i = 1019900676.9999887 - 1019900751. Let q = i + 74. What is q rounded to six decimal places? -0.000011 Suppose 3*f = -5*z - 492701 - 3686294, 0 = -z + 1. Round f to the nearest 100000. -1400000 Let p = -135 + 140.9. What is p rounded to the nearest integer? 6 Let h = 11788.256 - 11784.9560068. Let y = h - 3.3. Round y to six decimal places. -0.000007 Let k = 98.4253 + -98.5. Round k to 2 decimal places. -0.07 Let g = -1407689.3599937 + 1407690.3. Let h = 0.94 - g. What is h rounded to 6 decimal places? -0.000006 Let x = 1.45 - 0.15. Let s = 9.526 - 8.22712. Let o = s - x. Round o to four dps. -0.0011 Let v = 0.9 - -3.2. Let p = -4 + v. Let f = p - 0.099988. What is f rounded to five decimal places? 0.00001 Let u = 118314 - -412936. Let n be (256/(-4))/((-4)/u). What is n rounded to the nearest one million? 9000000 Let c = -214.000000117 - -214. What is c rounded to seven decimal places? -0.0000001 Let w = 1.05 + -1. Let a = 0.02 - w. Let u = 0 - a. Round u to 2 decimal places. 0.03 Let i = -5.9 - -6. Let b = i - 1.5. Let n = -1.4088 - b. Round n to 3 decimal places. -0.009 Let v = -0.15 - 0. Let h = -0.1499986 - v. Round h to 6 dps. 0.000001 Let b be (-12)/9*(-3 + 0). Suppose -3*u - 4*h = -1409996, b*u - h = 346332 + 1533669. Round u to the nearest 100000. 500000 Suppose 5*w + 2638 = 838. What is w rounded to the nearest 100? -400 Let x = 1.098 + -1.36. What is x rounded to two dps? -0.26 Let h = -78.8 + 70. Let j = 11 - 5. Let i = h + j. Round i to 0 decimal places. -3 Let k = -6287 + -12813. What is k rounded to the nearest one thousand? -19000 Let l = -310.99574 - -311. What is l rounded to 4 dps? 0.0043 Suppose 0 = 2*b - 2, -b - 91 - 20 = -4*j. Suppose 0*u = -4*u + j. Let x be u*914286 + 2 + -4. Round x to the nearest 1000000. 6000000 Let y = -0.4580243 - -0.458. What is y rounded to six decimal places? -0.000024 Let l = -32.233945 - -23.23396. Let v = -9 - l. What is v rounded to five decimal places? -0.00002 Let v = 966944.09 - 966945.88999932. Let l = -0.05 + -1.75. Let w = v - l. Round w to 7 dps. 0.0000007 Suppose 3*v + 4*u = 438, -3*u = 2*u. Suppose 4*x - 4*y + 6*y - 158 = 0, 4*x - v = 2*y. What is x rounded to the nearest 10? 40 Let l = 254792360.713361192 - 254792369.2. Let o = -0.486638288 - l. Let t = -8 + o. What is t rounded to seven decimal places? 0.0000005 Let x = -1.1 - -1.75. Round x to 1 dp. 0.7 Let a = -0.1 + -0.7. Let d = 1.05 + a. Let s = 0.04 - d. Round s to one dp. -0.2 Let k(x) = x**2 + 1. Let m be k(-6). Suppose m + 55 = -2*p. What is p rounded to the nearest ten? -50 Let n = -13.9 + 10. Let b = n + 5.62. What is b rounded to 1 dp? 1.7 Let q(g) = g**2 + 7*g + 2. Let u be q(-7). Let i be (-1 - u/2) + 2000002. What is i rounded to the nearest one million? 2000000 Let b = -25 + 25.00006. Round b to four decimal places. 0.0001 Let i(t) = 463*t**3 + t**2 - t. Let g be i(1). Suppose m + g = -237. Round m to the nearest 1000. -1000 Let h = -6.7 + 6.7000059. What is h rounded to six decimal places? 0.000006 Let z = -0.105 + -52.895. Let d = z + 52.99999885. Round d to 7 dps. -0.0000012 Let c = -4 + 6. Suppose -n + 22799991 = -2*m, c*n + 5*m = 7*n - 113999980. Let w be 3/(-12) - n/(-4). What is w rounded to the nearest 1000000? 6000000 Suppose -2*n - 3*d = -4*n + 2900012, 5*n - 5*d - 7250020 = 0. What is n rounded to the nearest one hundred thousand? 1500000 Let p = -23.55 + 0.55. Let m = p - -13. Let o = 11.26 + m. What is o rounded to one dp? 1.3 Let t = -1.1 - -1.85. Let m = 10.2 + -11. Let p = m + t. Round p to one decimal place. -0.1 Let d = 100 - 100.00000023. What is d rounded to six decimal places? 0 Suppose -2*n = -n - 1, -5*n + 824 = -3*p. Round p to the nearest 10. -270 Let v = 7.981 + -7.9. Let w = 1676555 - 1676554.9189901. Let k = v - w. Round k to six decimal places. -0.00001 Let u = 145.8 - 164. Round u to zero decimal places. -18 Let p = 0.9 + -0.87. Let m = 0.06 + p. Let r = m - 0.0899951. Round r to 6 decimal places. 0.000005 Let i = 37.1396273 - 36.98262. Let l = 165 - 164.843. Let s = i - l. Round s to six decimal places. 0.000007 Let i = -0.317 + -246.683. Let o = i - -246.863. Round o to two decimal places. -0.14 Let c = -27 + 27.067. Round c to 2 decimal places. 0.07 Let a(g) = 939788 + g**2 + g + 724040 - 163828. Let f be a(0). Round f to the nearest 1000000. 2000000 Let q = 165.9 + -153. Round q to the nearest integer. 13 Suppose 2*c + 1 = 2*r + 5, -c = -2*r - 1. Let b(o) = o**c + 1 + 2 - 8*o**2 - 4*o - 12. Let k be b(9). Round k to the nearest 10. 40 Let j(d) = d**3 + 4*d**2 + d - 1. Let p be j(-3). Let w be 4/(-10) - 2/(-5). Suppose 5*u = f + 11, w*u + p = -f - u. Round f to 0 dps. -6 Let f = 65890.3 - 66186.507. Let r = 296 + f. Let d = 0.22 + r. What is d rounded to 2 dps? 0.01 Suppose i - i = 5*i. Suppose -1 = 4*d + 3*s, 5*s = -3*d - 7 - 2. Suppose d*y + 900 = -i*y. Round y to the nearest 100. -500 Let w = 4.4 + -5.07. Round w to one decimal place. -0.7 Suppose -4*t = -14 - 34. Suppose 5*n - 2*r + t = r, 5*r - 20 = 0. Let m = 1 - n. What is m rounded to 1 dp? 1 Let w = -52 + 29. Let f = 21.9 + w. What is f rounded to zero decimal places? -1 Let t = 750 + -1720. Round t to the nearest 100. -1000 Let w = -1.674 - -1.7. Round w to 3 dps. 0.026 Let d = -0.42 + 0.419938. Round d to 5 decimal places. -0.00006 Let i be (-19187)/77 + -6 + 2/11. Round i to the nearest ten. -260 Let c = -1278.450001 - -1282.45. Let v = -4 - 0. Let s = v + c. What is s rounded to six dps? -0.000001 Let p = 90.2 - 99. Round p to 0 decimal places. -9 Let x = -36 + 35.999946. What is x rounded to five dps? -0.00005 Let c = -1320875.999992 - -1320894. Let y = 18 - c. Round y to five dps. -0.00001 Let q = -33 - -37.8. Let n = -4.79969 + q. What is n rounded to 4 dps? 0.0003 Suppose -5*u - 20 = -0*u. Let g(h) = -20*h + 4. Let p(x) = -20*x + 5. Let t(d) = 3*g(d) - 2*p(d). Let v be t(u). Round v to the nearest ten. 80 Let t = -0.16 - -0.319. Round t to 2 decimal places. 0.16 Let t = -4315 - -15121. Suppose 0 = r + c - 2702, c - 4*c = 4*r - t. Round r to the nearest one thousand. 3000 Let o = -8 + 6. Let c = -3 - o. Let i = c + 0.55. Round i to 1 decimal place. -0.5 Let s = 3.95 + -4. Let n = -0.053 - s. Round n to 3 decimal places. -0.003 Let o = 21.211 + -22. Let u = -0.8 - o. Let y = 0.02 + u. What is y rounded to two decimal places? 0.01 Let q = -10 - -10.0000092. Round q to 6 dps. 0.000009 Let d = -3 - -2.99999825. What is d rounded to seven decimal pla
{ "pile_set_name": "DM Mathematics" }
et z be 5/(25/1520) + (-25)/d. Is z equal to 300? False Let u = -3142 + 3143. Is u greater than -1/166? True Let z = 68361/803 - 936/11. Let y = 12 + -11. Are z and y unequal? True Let b be 356/(-10) - (-4)/(-10). Let k(z) = -z**3 + 2*z + 6. Let g be k(-2). Suppose -5*a = -v - g, -3*v + a - 2*a - 110 = 0. Which is smaller: v or b? b Let d be (-10900)/(-260) - 2/(-26). Are 50 and d unequal? True Let h = 4163 + -5278. Which is smaller: h or -1113? h Let p = 9.8 - 9.38. Let c = 22.42 - p. Which is greater: 3 or c? c Suppose v - 4*a = -20, -5*v + 5*a = -2*v + 32. Let w(k) = -k**2 - 7*k - 1. Let o be w(v). Let x be 2/4 + o/(-22). Which is smaller: 6/29 or x? x Suppose 16*r + 978 + 382 = 0. Let y be r/(-51) + (-1415)/855. Which is smaller: 1 or y? y Let o = -0.4 + 11.4. Let r = 508.2 + -508. Which is smaller: r or o? r Let l(m) = -2*m**2 + 20*m - 13. Let p(q) = -3*q - 21. Let x be p(-10). Let d be l(x). Suppose -d*c = -21 - 4. Which is bigger: 1 or c? c Let w(y) = -18*y - 5. Let i be w(-5). Let g(s) = 10*s**2 + 484*s + 1449. Let h be g(-3). Is h bigger than i? True Let w = -177715 + 177773. Suppose -l - 2*l = 3. Which is smaller: w or l? l Let c(j) = -j**3 + 3*j - 1. Let r(d) = 6*d + 32. Let w be r(-6). Let l be c(w). Suppose -5*q = 2*b - l, -q + 33 = 2*q + 2*b. Is q smaller than 10? True Suppose -18*c - 98*c - 5336 = 0. Which is smaller: -42 or c? c Suppose -480*z + 5008 = -542*z + 38116. Which is smaller: z or 538? z Let b be 1/79*((-12)/8 - (-287)/210). Is b less than -1? False Let t = -50.57 + 7.87. Let j = -42.8 - t. Which is smaller: 164 or j? j Suppose 5*c + 12 = 2*c. Let x be 4/(-5)*(-2)/c. Let n = -61 + 60.9. Is n smaller than x? False Suppose -151*o = -4*x - 154*o - 17, 3*o + 18 = -3*x. Is x bigger than -6/2335? True Let j be 10*1*8/16. Suppose j*h - 11*h = -234. Suppose -f = -5*s - 33, -5*f + 2*s = 57 - 245. Is h not equal to f? True Let d = -21611/28575 - -11/1143. Which is greater: -2 or d? d Let k be -9 - -6*1544/12. Is k greater than 762? True Let s be (4/60)/((-14)/636). Let b = -5906/2135 - s. Which is greater: 0 or b? b Let f(r) = 307*r**3 + 137 + 28*r + 3*r**2 - 308*r**3 - 11*r**2. Let h be f(-11). Which is bigger: 191 or h? h Let c = -28433 + 28413. Which is smaller: -89 or c? -89 Suppose -47 - 53 = 20*l. Let o be ((-1)/(l/(-10)))/(2 - 4). Which is smaller: o or -2/83? -2/83 Suppose 5*i = i. Let j = -2273 + 2258. Is j > i? False Let p be (4 - 0)*(-99)/(-12). Let l be 7/((2/(-18))/(320/(-360))). Suppose 3*s - 102 = 3*j, 244*j - 248*j = 2*s - l. Which is smaller: s or p? s Let s be 2 + (-1 - -3)/(3/39). Let t be (42/s)/(6/44). Which is greater: t or 31/3? t Let s be 5 + 2/5 + (-89034)/60. Let w = 1552 + s. Is 73 less than w? True Let a = 26 - 22. Let g(o) = 2*o - 7. Let d be g(a). Let p be 4/(-30) - (9 + 4284/(-405)). Do p and d have the same value? False Let y = 649 + -649.2155. Let w = -0.0155 - y. Which is greater: 56/9 or w? 56/9 Let n = 85.98 + -86. Let h = 5 + 17. Let o = h + -21.9. Is n at least as big as o? False Let y(p) = 4*p + 83. Suppose 0 = 351*v - 343*v + 136. Let u be y(v). Let g be (-2)/6 + (-43)/(-3). Which is smaller: u or g? g Let l = 333690/41 - 8138. Which is smaller: l or 0? 0 Let b = -715 + 467. Let k(p) = p**3 + 22*p**2 - 2*p - 46. Let l be k(-22). Is b > l? False Let a = -16962.53 - -17039. Let k = a - 77. Is k at least as big as -0.1? False Suppose -2*o = 4*r - 12, 3*r - o = 8 + 6. Suppose -686 = r*k - 250. Is k > -110? True Let o be (-622 - -34)*(-425)/(-20). Which is smaller: o or -12496? -12496 Suppose 0 = -7*j + 22 - 15. Suppose 0 = h - 1, -f - 3*f = -4*h + 1016. Let b be (1 - -1)/(f/(-22)). Which is smaller: b or j? b Let s = -232.7 + 26.7. Let u = 205.9 + s. Which is greater: 0.3 or u? 0.3 Let z = -1596 - -1530. Let v be 2/4 + 1/(-6). Which is smaller: z or v? z Let f(c) = -330*c**3 + 56*c**2 + 169*c + 8. Let o be f(-3). Which is greater: -0.2 or o? o Let g = -0.44 - -11.34. Let o = g + -21.2. Let j = o + 0.3. Is j smaller than -2? True Let t = 34 - 84. Is t greater than 27? False Let i be (-34639)/165 - 3*1/(-5). Let m = i + 8134/39. Is m smaller than -1? False Let p = 0.05 - -1.95. Let m = -391 + 391.42. Let h = m - 5.42. Are p and h nonequal? True Suppose 44*s = -45*s. Is 2/1985 equal to s? False Let r(m) = m**3 + 28*m**2 + 48*m + 42. Let u be r(-26). Let w = u + -116. Which is bigger: w or 34? 34 Let i = -396 - -392. Let n be 0 - (1 - (-46071)/21). Let j = n - -2190. Is j less than i? True Let w be ((-114)/285)/(7/40). Let q = 232/77 + w. Let u = 0 + 0. Are q and u non-equal? True Suppose 214 = 3*b - 275. Let p = b - 161. Which is smaller: p or 0.068? 0.068 Let g(i) = 12*i - 19. Let u be g(2). Suppose 5*p - 3*f + 20 = 0, -2*f + u = 3*p - 2. Let x = -6063/7 - -864. Which is bigger: p or x? p Let x = -645 + 20633/32. Let h = x - -79/288. Let k = -384201.1 + 384201. Are k and h nonequal? True Suppose -20 + 14 = -3*n. Suppose j = -5*p + 91, n*j + 5*p - 130 = 8*p. Which is bigger: j or -3? j Suppose -2*h - 5*b = -7*h + 20, 5*h = b. Which is smaller: h or -2/52093? h Let v = 1545.2 + -1348.2. Which is bigger: v or -12? v Let r be ((-10)/4)/((15/(-10))/3). Suppose -r*x - 4 + 234 = 0. Suppose w + 10*d = 15*d + 25, 0 = 5*w + 3*d - 237. Does w = x? False Let w(v) = -2*v**3 - v**2 + v + 2. Let t be w(2). Let h be (-3)/(-4) + 252/t. Suppose 10*i + 68 + 92 = 0. Is i at least as big as h? False Let s be 26/39 - (-3)/9. Is -1/40686 less than s? True Let c = 309.63 - 304. Let m = c - 5.51. Is m less than 17? True Let r be ((-52)/(-182))/(12/21) + (-30)/52. Is r bigger than -0.39? True Suppose -19 = -d + 4*i - 2, d = -3*i - 4. Let u be ((-792)/(-110))/((-7)/d). Let s = 3 - 7. Is s at least as big as u? True Let g be (-6)/(-1) - (264 - -8). Let i = 270 + g. Which is smaller: i or -32? -32 Let o be (64/288)/((-8)/36). Let j = 6583 + -1823493/277. Which is smaller: j or o? o Suppose 128 = 3*p + 4*b, -11*p + 10*p + 2*b + 36 = 0. Suppose 2*h + 3*w = 72, -3*h - 5*w = -2*w - 111. Is p at least as big as h? True Let n be (-40)/25*(-155)/124. Which is smaller: n or 86/49? 86/49 Suppose 5*a + 27 = 4*l, -l + 6*l - 55 = 2*a. Let z = -22 - -28. Suppose -z*v + 13 = -77. Do v and l have the same value? False Let u = -1.279 + -101.921. Let n = u + 18.2. Let a = n + 84.9. Which is greater: 0.28 or a? 0.28 Let x be (-10)/(25/(-5)) + (4 - 6). Suppose x = 14*i - 18*i - 16. Let n = -779 + 3095/4. Is i > n? True Let g = -2239 - -248527/111. Let c be (-550)/(-165)*(-1 - (-23)/5). Let k be (-22)/c + 240/288. Is k smaller than g? True Suppose -15 = -2*d + w, 5*d = 4*w + 37 - 7. Suppose -69 - 71 = -d*r. Is r bigger than 16? False Let k(p) = p**3 - 7*p**2 + 4*p - 3. Let y be k(6). Suppose -2*j = 2*o - 26, 2*j + 50 = 2*o - 2*j. Suppose 4*w + o + 47 = 0. Is y != w? True Let u = -698913/35 + 19971. Let s = u - 13/7. Let z = -5 + 5. Is z < s? True Let q = 13.924252 + 0.075748. Let v = -0.01 - 0.1. Which is smaller: q or v? v Let y be 1*5 - (-2)/(-1). Suppose 2*s - y*s + 6 = 0. Suppose -5*k + 4*k + 824 - 817 = 0. Is k greater than s? True Let f be 2/(-8) + 483/12. Let u be 30/(-8) + 30/f. Suppose 0*s + 20 = -4*s. Which is bigger: u or s? u Suppose -9 - 96 = 5*l. Let s(g) = 3*g + g + 763*g**2 + 0*g - 766*g**2 - 8. Let x be s(3). Is x not equal to l? True Let d = -2093121/46 + 45506. Which is greater: d or 2? d Let t = -13 - -7. Let x = t + 5. Let o be (-36)/1287 - (-4)/22. Is x bigger than o? False Let u = 11.6 - 57.6. Let k = 41 + u. Let x = k - -14. Which is bigger: x or 1? x Let d(n) be the second derivative of -2*n**3/3 + 25*n**2/2 + 16*n. Let y be d(6). Let p be 3 + 16/(-4) + 0. Which is smaller: p or y? p Suppose -184*s + 63 = -175*s - 72. Which is bigger: s or 342/23? s Let u(k) be the second derivative of -k**5/20 + 7*k**4/4 - 19*k**3/6 - 10*k**2 - 10*k. Let c be u(20). Let y = -34/9 - -356/99. Which is smaller: c or y? y Suppose 29 = 2*n - 5*v, -2*n - 38 = -7*n + v. Let t(g) = g**3 - 3 - 4*g**2 - n*g + 3*g + 2 - 9. Let w be t(5). Which is smaller: -26/7 or w? w Let k(x) = 1138*x - 170. Let g be k(-6). Which is bigger: -6999 or g? g Let x(g) = -g**2 - 138*g - 1213. Let q be x(-9). Let o be (-1)/(-1*2/96). Let y = o + q. Is -1/3 > y? True Suppose x + 0*x + 2*n = -10, -4*x - n = 47. Let z be (-54)/72 + (-1)/x. Which is greater: 107 or
{ "pile_set_name": "DM Mathematics" }
3186/35? True Which is smaller: -9440/6657 or 4/17? -9440/6657 Is 300118.5 > -12? True Which is smaller: -2674447 or -2674405? -2674447 Is 11798434 greater than 11798433? True Is 50 != 246450/4847? True Are 202065442 and 1 non-equal? True Is -94287251/5 <= -18857451? False Which is smaller: 20594098 or 20594096? 20594096 Is -6824 <= 830? True Which is bigger: 130/1102927 or -1? 130/1102927 Is -100947053/6 <= -16824508? True Do -167805226 and -167805226 have different values? False Are -75195 and -6692283/89 unequal? True Are -18 and 23243.737 equal? False Is -237502 greater than -237451? False Is -735120708 < -735120709? False Is 5045632 != 5045613? True Does -318533124 = -318533124? True Which is greater: 292 or 68839/235? 68839/235 Is 1 smaller than -1/5890700? False Which is smaller: 30211 or 30164? 30164 Is -2702679 smaller than -2702675? True Is 0.3 at least as big as 11487.03? False Are 6593183/4 and 1648296 equal? False Which is greater: -1 or 26/2283631? 26/2283631 Are -700145/6 and -116692 unequal? True Is 1012504 at most as big as -2/39? False Are -3 and 9645490 nonequal? True Is -369031659 greater than or equal to -369031659? True Which is smaller: -440 or -20778? -20778 Is 0.04592 <= -0.0669? False Which is greater: 115 or 93988/809? 93988/809 Is -4843432 greater than -4843444? True Is -120 <= -5/31628? True Which is smaller: 6736 or 230? 230 Which is bigger: -24062263 or -24062261? -24062261 Do 8313 and 673388/81 have the same value? False Is -8736704 < -8736794? False Which is smaller: -0.31772 or -0.08? -0.31772 Is -60869 != -60789? True Which is smaller: 4/3953 or -6.607? -6.607 Which is bigger: 36689048 or 0? 36689048 Are 36/110048677 and 0 unequal? True Are -3583472 and -3583468 nonequal? True Is 3736 greater than 8960? False Which is bigger: -762 or 2/294167? 2/294167 Which is greater: -9/158287814 or 0? 0 Is 31015 bigger than -46? True Is 14697278 at least as big as -2? True Which is smaller: -73 or -10688? -10688 Which is greater: -548739 or 451? 451 Are 265873 and 265825 unequal? True Which is smaller: 392/3 or -4.826? -4.826 Is -0.1394774 > 0? False Which is smaller: 49691.858 or -2/21? -2/21 Which is smaller: 809155 or 4? 4 Which is smaller: -4119953 or 3? -4119953 Are -1840719 and -1840720 equal? False Which is greater: -13586/1305 or -10? -10 Is 28358258 at most as big as 28358259? True Which is bigger: -1/280559729 or 1? 1 Which is bigger: -1 or -11728/36575? -11728/36575 Which is smaller: -2/2926899 or -1? -1 Is 5556609 <= 5556604? False Which is bigger: 4/13 or 5.20545? 5.20545 Which is greater: -85152 or -88955? -85152 Which is smaller: 22052510 or 22052508? 22052508 Are 16.3 and -275684 non-equal? True Which is smaller: -654890 or -654832? -654890 Which is smaller: 11493396 or 11493386? 11493386 Which is bigger: -26063 or -1.948? -1.948 Which is bigger: 37579101 or 37579103? 37579103 Is -0.7663 at most -0.1906? True Do 2664/14495 and 0 have the same value? False Which is bigger: -2748 or -382128/139? -2748 Which is bigger: 37555 or 38798? 38798 Which is bigger: 136727626 or 136727627? 136727627 Is 1/807894 greater than 0? True Is 41588 less than 46478? True Do 0 and -1148/45077 have different values? True Which is greater: 97/4503066 or 0? 97/4503066 Are -212590 and -212835 unequal? True Which is bigger: 2/10368115 or 0? 2/10368115 Is 5055426 at least 5055424? True Which is greater: -39 or -11179/286? -39 Which is smaller: 14 or 30275/2217? 30275/2217 Which is smaller: -0.2 or 1100.73187? -0.2 Is -27105356 at least as big as -135526774/5? False Is -3910153 greater than or equal to 1/5? False Which is greater: 8903/14 or 636? 636 Is 3367423 greater than 416? True Which is smaller: 4007841 or 4007839? 4007839 Is -1 less than 519/448378? True Are 92.8869 and -12 non-equal? True Which is greater: 0 or -231/1036172? 0 Which is bigger: -526881 or -527071? -526881 Which is smaller: 18342 or -8832? -8832 Which is smaller: 44143 or 19693? 19693 Is -2705542 at least -22? False Which is smaller: 5/1072944 or 106? 5/1072944 Is -1 <= 22/290909? True Is 366685948 smaller than 366685947? False Is 0 greater than -268/355959? True Which is bigger: 1836 or 1038? 1836 Is -35079926 not equal to -35079926? False Is -112295672 at least as big as -112295672? True Which is smaller: 1/854917902 or 1? 1/854917902 Is 1 >= 967/50339? True Is -5387449 < -5387449? False Is -65826/1111 smaller than -60? False Which is greater: 1/1833087522 or -1? 1/1833087522 Do -7217846 and -7217845 have the same value? False Is -243951 smaller than -243972? False Is 28677 smaller than 23126? False Does -2140/1820637 = -1? False Which is greater: 26778 or 22076? 26778 Which is smaller: 66586 or 66626? 66586 Which is bigger: 156/379129 or 1? 1 Which is smaller: 10 or 22.02833? 10 Is 0 less than 1/2966011288? True Is -1 at least -608/1565457? False Is 3724009/17 not equal to 219060? True Is -423 bigger than -18010/27? True Is -8/7 smaller than 109284? True Is 5 smaller than 1729/15388? False Which is smaller: -141945132 or -141945131? -141945132 Is -3.7885 != -10/3? True Which is smaller: 1823712 or 1823711? 1823711 Which is smaller: 1654 or -3895? -3895 Is 580 smaller than 626867/1080? True Which is greater: -419179481 or -419179480? -419179480 Is -46 at most -32990/733? True Is 250789 smaller than 250801? True Is 2378038 not equal to 2378039? True Is -1 at most -13312/546843? True Which is bigger: 20547262 or 20547259? 20547262 Is -39974/13 at least as big as -57? False Is -1/80 at least as big as 3852884? False Which is greater: 0 or -48601/22602? 0 Is -52826 greater than -388? False Which is smaller: -1/2 or -19454762? -19454762 Is -1 <= -40/1436639? True Which is smaller: -617737 or -617712? -617737 Is -2863943 < -2863946? False Which is bigger: -86 or -3862? -86 Is 201 <= 285980/1433? False Which is greater: 21938769 or 21938768? 21938769 Which is bigger: 274/2317053 or -1? 274/2317053 Is -70179 at most as big as -70127? True Is 318219 greater than or equal to 317788? True Which is bigger: -9148274 or 6? 6 Do 3376 and 16/11271 have the same value? False Is -495585 at most as big as -991171/2? False Are 3075414/407 and 7556 unequal? True Is 3772 <= 3707? False Which is smaller: 6594363 or 6594361? 6594361 Which is greater: 427058 or 427053? 427058 Which is smaller: -148627 or -149546? -149546 Which is smaller: 6 or 42039/5792? 6 Do -1 and -315/211201 have the same value? False Is 293/10 less than 1892.6? True Which is greater: -1 or 1/189572608? 1/189572608 Is -1 bigger than -1/22531421? False Which is bigger: -2023/33 or 6417? 6417 Is -65333533 greater than -65333533? False Is 1 less than or equal to 2/16490849? False Do 2 and -47324 have different values? True Which is smaller: -317/94557 or -1? -1 Which is bigger: -20/83236653 or -1? -20/83236653 Which is bigger: -10071/14383 or 0? 0 Which is bigger: 5140544 or 5140547? 5140547 Is -72041 <= 2511? True Is -27857/5667 at least as big as -6? True Is 19604 greater than 0.0788? True Which is bigger: -2/7 or 272/2911415? 272/2911415 Which is smaller: -685423891 or -685423892? -685423892 Which is smaller: 33 or 14387/422? 33 Do -1 and 45/4645802 have the same value? False Does 185/16 = 3.161? False Is -1 at least -72/182489? False Which is smaller: 4120168 or 4120174? 4120168 Which is greater: 0.3 or -4410917? 0.3 Do 37089 and 37089 have the same value? True Which is smaller: 371925 or 373550? 371925 Is -1 <= 4/247467? True Which is smaller: 57445675 or 57445673? 57445673 Is -301224 >= -301210? False Is 26570153 greater than 26570152? True Which is smaller: 18516755/4 or 4629189? 18516755/4 Which is smaller: -310573 or -310498? -310573 Does 29148 = 892? False Does -531592542 = 1? False Is 94/140959 != 1? True Which is greater: 369/85229 or 1? 1 Which is bigger: 1779 or 84/611? 1779 Which is smaller: -560 or 1002725? -560 Which is greater: 197517 or 197428? 197517 Which is smaller: 1596307 or 1/7? 1/7 Which is smaller: 1 or 45/8394359? 45/8394359 Which is bigger: 721807 or 721833? 721833 Are -96.4 and -2157/10 unequal? True Are 1 and -2/353197817 non-equal? True Which is greater: -9478 or -9961? -9478 Which is greater: -152542735 or -152542738? -152542735 Is -37245/136 equal to -275? False Is -27800997 not
{ "pile_set_name": "DM Mathematics" }
to the power of 1/2, to the nearest integer? 28621 What is the cube root of 28876743 to the nearest integer? 307 What is the square root of 18319895 to the nearest integer? 4280 What is 69762289 to the power of 1/3, to the nearest integer? 412 What is the sixth root of 5807526100 to the nearest integer? 42 What is 2464615855 to the power of 1/9, to the nearest integer? 11 What is 51204300 to the power of 1/3, to the nearest integer? 371 What is the square root of 71412462 to the nearest integer? 8451 What is 398355505 to the power of 1/3, to the nearest integer? 736 What is 3153016861 to the power of 1/2, to the nearest integer? 56152 What is 727127314 to the power of 1/10, to the nearest integer? 8 What is the square root of 1653417967 to the nearest integer? 40662 What is 76745764 to the power of 1/3, to the nearest integer? 425 What is 167022558 to the power of 1/9, to the nearest integer? 8 What is 89202079 to the power of 1/3, to the nearest integer? 447 What is 91623633 to the power of 1/2, to the nearest integer? 9572 What is the ninth root of 21134200 to the nearest integer? 7 What is the ninth root of 294609521 to the nearest integer? 9 What is 124690039 to the power of 1/3, to the nearest integer? 500 What is 3281248808 to the power of 1/9, to the nearest integer? 11 What is 1308833868 to the power of 1/4, to the nearest integer? 190 What is the third root of 531257006 to the nearest integer? 810 What is 1497105098 to the power of 1/2, to the nearest integer? 38692 What is the cube root of 38652060 to the nearest integer? 338 What is the eighth root of 93796993 to the nearest integer? 10 What is 1146375968 to the power of 1/3, to the nearest integer? 1047 What is the square root of 29653318 to the nearest integer? 5445 What is the third root of 96646158 to the nearest integer? 459 What is 1024836387 to the power of 1/3, to the nearest integer? 1008 What is the eighth root of 1703067474 to the nearest integer? 14 What is the sixth root of 1232228411 to the nearest integer? 33 What is the fourth root of 450225189 to the nearest integer? 146 What is 1755180929 to the power of 1/6, to the nearest integer? 35 What is the square root of 764455869 to the nearest integer? 27649 What is 944468608 to the power of 1/3, to the nearest integer? 981 What is 120017076 to the power of 1/3, to the nearest integer? 493 What is 1211556319 to the power of 1/2, to the nearest integer? 34807 What is 391465765 to the power of 1/3, to the nearest integer? 732 What is the third root of 472959115 to the nearest integer? 779 What is the square root of 728729675 to the nearest integer? 26995 What is the tenth root of 35562989 to the nearest integer? 6 What is the square root of 5353334348 to the nearest integer? 73166 What is the cube root of 4395338419 to the nearest integer? 1638 What is the ninth root of 36348280 to the nearest integer? 7 What is 989505853 to the power of 1/2, to the nearest integer? 31456 What is 144459237 to the power of 1/7, to the nearest integer? 15 What is 227847681 to the power of 1/2, to the nearest integer? 15095 What is 4757754 to the power of 1/3, to the nearest integer? 168 What is 390848234 to the power of 1/4, to the nearest integer? 141 What is 3949149634 to the power of 1/7, to the nearest integer? 23 What is 374864539 to the power of 1/3, to the nearest integer? 721 What is 223770764 to the power of 1/3, to the nearest integer? 607 What is the square root of 371326704 to the nearest integer? 19270 What is the fifth root of 1158065053 to the nearest integer? 65 What is 2811182078 to the power of 1/2, to the nearest integer? 53021 What is 686749793 to the power of 1/2, to the nearest integer? 26206 What is 44310618 to the power of 1/5, to the nearest integer? 34 What is the fourth root of 513997291 to the nearest integer? 151 What is 584533625 to the power of 1/2, to the nearest integer? 24177 What is 368498827 to the power of 1/2, to the nearest integer? 19196 What is 3160440765 to the power of 1/6, to the nearest integer? 38 What is the square root of 670982698 to the nearest integer? 25903 What is the third root of 83420694 to the nearest integer? 437 What is 482000291 to the power of 1/3, to the nearest integer? 784 What is the square root of 567962099 to the nearest integer? 23832 What is 821403608 to the power of 1/2, to the nearest integer? 28660 What is the third root of 1057530332 to the nearest integer? 1019 What is the third root of 789813004 to the nearest integer? 924 What is 226179712 to the power of 1/3, to the nearest integer? 609 What is the fifth root of 25183452 to the nearest integer? 30 What is the fourth root of 4117783094 to the nearest integer? 253 What is the cube root of 272631955 to the nearest integer? 648 What is the fourth root of 214101090 to the nearest integer? 121 What is the fourth root of 244857923 to the nearest integer? 125 What is 31582236 to the power of 1/5, to the nearest integer? 32 What is 81478536 to the power of 1/3, to the nearest integer? 434 What is the tenth root of 79186599 to the nearest integer? 6 What is 666318176 to the power of 1/2, to the nearest integer? 25813 What is 283882617 to the power of 1/8, to the nearest integer? 11 What is the eighth root of 430939152 to the nearest integer? 12 What is the third root of 129009290 to the nearest integer? 505 What is 12420671 to the power of 1/2, to the nearest integer? 3524 What is 850156920 to the power of 1/2, to the nearest integer? 29157 What is 410331931 to the power of 1/2, to the nearest integer? 20257 What is 316818115 to the power of 1/9, to the nearest integer? 9 What is the square root of 1032750569 to the nearest integer? 32136 What is the fifth root of 1332226819 to the nearest integer? 67 What is the square root of 2546006422 to the nearest integer? 50458 What is the third root of 3707894627 to the nearest integer? 1548 What is the third root of 7505670615 to the nearest integer? 1958 What is 251584549 to the power of 1/6, to the nearest integer? 25 What is the seventh root of 63827287 to the nearest integer? 13 What is 41542405 to the power of 1/5, to the nearest integer? 33 What is the square root of 128783433 to the nearest integer? 11348 What is 58976415 to the power of 1/10, to the nearest integer? 6 What is 4967158363 to the power of 1/2, to the nearest integer? 70478 What is the third root of 1708768143 to the nearest integer? 1196 What is the cube root of 151367071 to the nearest integer? 533 What is the third root of 84096777 to the nearest integer? 438 What is 1019684616 to the power of 1/5, to the nearest integer? 63 What is 6643907 to the power of 1/9, to the nearest integer? 6 What is 1374462588 to the power of 1/2, to the nearest integer? 37074 What is the fifth root of 2182921 to the nearest integer? 19 What is 33372204 to the power of 1/10, to the nearest integer? 6 What is the cube root of 7852311902 to the nearest integer? 1988 What is the tenth root of 1644293950 to the nearest integer? 8 What is 134644362 to the power of 1/2, to the nearest integer? 11604 What is the cube root of 342059276 to the nearest integer? 699 What is the cube root of 31084591 to the nearest integer? 314 What is the tenth root of 3182259327 to the nearest integer? 9 What is 420588988 to the power of 1/2, to the nearest integer? 20508 What is the square root of 2392265947 to the nearest integer? 48911 What is the square root of 1931117905 to the nearest integer? 43944 What is the cube root of 37118697 to the nearest integer? 334 What is the eighth root of 485679221 to the nearest integer? 12 What is 247236380 to the power of 1/3, to the nearest integer? 628 What is 3297372772 to the power of 1/7, to the nearest integer? 23 What is the eighth root of 3003345 to the nearest integer? 6 What is 45529659 to the power of 1/8, to the nearest integer? 9 What is 231497152 to the power of 1/3, to the nearest integer? 614 What is 31893238 to the power of 1/10, to the nearest integer? 6 What is 55170143 to the power of 1/2, to the nearest integer? 7428 What is the tenth root of 4973495103 to the nearest integer? 9 What is the cube root of 4047924424 to the nearest integer? 1594 What is the seventh root of 3786947168 to the neare
{ "pile_set_name": "DM Mathematics" }
2 - 6*u**2 + 300*u - z - 9*u**2 + 4*u**3 = 0. 5 Let z be (-14 - -20)*(-2)/(-4). Suppose z*d = 3*d + 7*d. What is q in 3/2*q - 3/4*q**2 + d = 0? 0, 2 Let b = 418 - 219. Let z = 202 - b. Determine m so that 0 - 2/7*m + 1/7*m**4 + 9/7*m**z + 3/7*m**2 - 3/7*m**5 = 0. -1, 0, 1/3, 2 Factor 2/7*q**2 + 92/7*q + 1058/7. 2*(q + 23)**2/7 Let g(v) be the third derivative of v**6/660 + v**5/165 - v**4/132 - 2*v**3/33 - 2*v**2 + 4*v. Factor g(r). 2*(r - 1)*(r + 1)*(r + 2)/11 Let q(n) be the first derivative of -n**6/6 - 2*n**5/5 + 7*n**4/4 + 8*n**3/3 - 6*n**2 - 60. Suppose q(m) = 0. What is m? -3, -2, 0, 1, 2 Let u(h) = -h**3 - 4*h**2 + 9*h + 24. Let k be u(-5). What is d in -8/5 + 2/5*d**k - 18/5*d**2 + 2/5*d**3 + 22/5*d = 0? -4, 1 Let s(u) be the first derivative of -3*u**5/5 - 47*u**4/12 - 10*u**3/9 - 67. Determine g, given that s(g) = 0. -5, -2/9, 0 Let g = 1 - -1. Let m be -15 + 16 + 24/(-32). Factor -m*c**2 - 4 + g*c. -(c - 4)**2/4 Let a(v) be the first derivative of -5*v**4/72 - 5*v**3/4 + 25*v**2/6 + 48*v - 54. Let i(d) be the first derivative of a(d). Factor i(b). -5*(b - 1)*(b + 10)/6 Let z(b) = 4*b**2. Let s be z(1). Let r be 8/s + 0/(-1). Determine d so that 5*d - 15 - d**2 - 2*d**r - 2*d + d**3 + 14 = 0. 1 Let p be ((-7)/1 - 795/(-105))/2. Suppose a = -2*a + 6. Factor -2/7*v**5 + 4/7*v**3 - 4/7*v**a + p*v**4 + 2/7 - 2/7*v. -2*(v - 1)**3*(v + 1)**2/7 Let f be 1/(-4 + (-5)/(-1)). Suppose -12 = -3*b, a + 3*b - 11 = f. What is h in 0 + 3/5*h**2 - 9/5*h**3 + 9/5*h**4 - 3/5*h**5 + a*h = 0? 0, 1 Suppose -2*j - 19 = 5. Let x be 1/3 + (-4)/j. Factor -m**4 + m**2 - x*m**3 + 0 + 2/3*m. -m*(m - 1)*(m + 1)*(3*m + 2)/3 Let w = 79 + -76. Determine a, given that -415*a**4 + 85*a**5 - 47 - 115*a**2 - 390*a**2 + 715*a**w + 100*a + 67 = 0. -2/17, 1, 2 Let x(p) = -8*p - 70. Let q be x(-5). Let u be (16/(-40))/(4/q). Solve u + 15/2*v**3 + 3/2*v - 12*v**2 = 0. -2/5, 1 Let v(r) be the third derivative of 0 + 1/270*r**5 + 2/27*r**4 - 4*r**2 + 0*r - 4/9*r**3 - 1/540*r**6. Factor v(c). -2*(c - 2)**2*(c + 3)/9 Let j(a) be the third derivative of -a**7/420 + a**6/60 - a**5/30 - 5*a**3/2 + 4*a**2. Let c(f) be the first derivative of j(f). Determine k so that c(k) = 0. 0, 1, 2 Factor 4/3*y**3 - 1/3*y**2 + 0 + 1/3*y**4 - 4/3*y. y*(y - 1)*(y + 1)*(y + 4)/3 Let r(u) be the second derivative of 7*u + 0*u**2 + 0*u**3 + 0*u**4 + 0 + 1/90*u**5. Factor r(z). 2*z**3/9 Suppose 0 = -3*p - s + 6, -4*p + 260 - 252 = 3*s. Find t such that 2/3*t - 1/3*t**p - 1/3 = 0. 1 Suppose -19 = -3*n - 4*a - 13, -4*a = 0. What is d in 0 + 3/2*d - 9*d**n = 0? 0, 1/6 Let i = 1774 + -1771. Factor 0*g + 0 - 1/2*g**2 + 1/2*g**i. g**2*(g - 1)/2 Let f(t) = -3*t**5 - 11*t**4 + 23*t**3 - t**2 + 4. Let w(v) = -3*v**5 - 10*v**4 + 22*v**3 - 2*v**2 - v + 3. Let n(p) = 3*f(p) - 4*w(p). Factor n(x). x*(x - 1)**2*(x + 4)*(3*x + 1) Let z(m) be the second derivative of -1/65*m**5 + 0*m**3 + 0 - 5/273*m**7 - 7/195*m**6 + 0*m**4 + 22*m + 0*m**2. Determine k, given that z(k) = 0. -1, -2/5, 0 Let f(m) be the second derivative of 15*m + 0 + 2/21*m**4 - 1/105*m**6 + 1/70*m**5 + 0*m**2 - 4/21*m**3. Find x, given that f(x) = 0. -2, 0, 1, 2 Let l(x) = 2*x**2 - 58*x + 104. Let w(q) = 2*q**2 - 58*q + 105. Let d(h) = 3*l(h) - 4*w(h). Factor d(n). -2*(n - 27)*(n - 2) Factor -80*v**2 + 3*v - 24*v - 6*v - 35*v**3 + 7*v. -5*v*(v + 2)*(7*v + 2) Let r be 2/(-11) + (-3 - (-1365)/308). Let c(w) be the first derivative of -r*w**3 + 0*w - 21/16*w**4 + 2 - 3/8*w**2 - 9/20*w**5. Factor c(b). -3*b*(b + 1)**2*(3*b + 1)/4 Suppose 9/7*c**2 + 4/7 - 1/7*c**4 - 11/7*c - 1/7*c**3 = 0. What is c? -4, 1 Suppose 3*o - 3 = -2*p, 4*o + 5*p + 6 = o. Determine x so that 8*x + 4*x**3 - 3*x**2 - o*x**2 - 6*x**2 = 0. 0, 1, 2 Let k(a) be the first derivative of a**8/560 - 3*a**7/280 + a**6/120 + 3*a**5/40 - a**4/4 + 7*a**3 - 12. Let p(x) be the third derivative of k(x). Factor p(y). 3*(y - 2)*(y - 1)**2*(y + 1) Let l be 16/40 - 39/(-15). Factor -2*y**3 + 0*y**l - 2 - 18*y + 12*y**2 + 2. -2*y*(y - 3)**2 Factor -13/4*q**3 - 17/4*q**2 - 9/8*q**4 - 5/8 - 21/8*q - 1/8*q**5. -(q + 1)**4*(q + 5)/8 Let v = 1815/3634 + 1/1817. Factor -v*x**2 + 3/2*x - 3/2*x**3 + 0 + 1/2*x**4. x*(x - 3)*(x - 1)*(x + 1)/2 Suppose -2*p = -g + 10, 4*g - 3*p + 5 = -4*p. Let l = -35/6 - -37/6. Suppose g + l*r**2 - r = 0. What is r? 0, 3 Let q(f) be the third derivative of -1/60*f**5 - 6*f**2 + 0*f**4 + 1/180*f**6 + 4/3*f**3 + 0 + 0*f. Let s(x) be the first derivative of q(x). Factor s(p). 2*p*(p - 1) Factor 1/3*m**2 - 11/3*m + 6. (m - 9)*(m - 2)/3 Find d such that 54*d + 4*d**2 + 91*d - 3 + 3 - 45*d = 0. -25, 0 Let q(i) be the first derivative of -i**6/10 + 9*i**5/10 - 13*i**4/4 + 6*i**3 - 6*i**2 - 4*i - 25. Let m(r) be the first derivative of q(r). Factor m(s). -3*(s - 2)**2*(s - 1)**2 Let u(b) be the first derivative of -b**5/15 + 35*b**4/12 - 32*b**3 - 54*b**2 + 552. Factor u(o). -o*(o - 18)**2*(o + 1)/3 Let g(p) be the second derivative of 2*p**7/21 - 2*p**6/15 - 3*p**5/5 + 5*p**4/3 - 4*p**3/3 + 66*p. Factor g(c). 4*c*(c - 1)**3*(c + 2) Let p(w) be the second derivative of 1/6*w**4 + w**3 - 6*w + 0*w**2 + 1/60*w**5 - 1/180*w**6 + 0. Let o(n) be the second derivative of p(n). Factor o(i). -2*(i - 2)*(i + 1) Let q(z) be the second derivative of -z**6/1620 + z**5/135 + z**4/9 + 16*z**3/3 + 11*z. Let c(u) be the second derivative of q(u). Factor c(w). -2*(w - 6)*(w + 2)/9 Let j(w) be the second derivative of w**7/84 + w**6/12 + 7*w**5/40 + w**4/8 - 2*w + 44. Let j(x) = 0. Calculate x. -3, -1, 0 Suppose -383 + 423 = 20*x. Let d be (8/(-3))/(-2)*60/100. Factor -d*z**x + 4/5*z - 4/5*z**3 + 4/5. -4*(z - 1)*(z + 1)**2/5 Let l be 2/((-13)/(117/(-6))). Let p(c) be the second derivative of -1/60*c**5 + 2/3*c**2 + 0 + 0*c**l - 1/12*c**4 + c. Solve p(j) = 0. -2, 1 Let d(x) be the second derivative of -16*x + 1/2*x**4 + 0 + 3/2*x**3 - 3*x**2 - 3/5*x**5 + 1/14*x**7 + 0*x**6. Factor d(p). 3*(p - 1)**3*(p + 1)*(p + 2) Suppose -130 = -11*k - 108. Let x(j) be the second derivative of -6*j + j**3 + 7/4*j**4 + 0 + 0*j**k. Determine n, given that x(n) = 0. -2/7, 0 Solve 3*i**4 + 45*i + 2*i**4 + 466*i**2 - 511*i**2 - 5*i**3 = 0. -3, 0, 1, 3 Let f(v) be the second derivative of 2*v**6/15 - 3*v**5/10 - 3*v**4/2 - v**3/3 + 3*v**2 + 211*v. Factor f(u). 2*(u - 3)*(u + 1)**2*(2*u - 1) Let b(k) be the second derivative of k**4/24 - 37*k**3/6 - 75*k**2/4 + 435*k. Let b(m) = 0. Calculate m. -1, 75 Let u(m) be the first derivative of m**6/30 - 3*m**5/5 + 37*m**4/10 - 22*m**3/3 - 15*m**2/2 + 25*m + 497. Factor u(s). (s - 5)**3*(s - 1)*(s + 1)/5 Let m = 11/243 + 409/1701. Find b such that -m*b**2 + 0*b + 8/7 = 0. -2, 2 Let x(u) be the second derivative of -u**5/20 - 5*u**4/12 + 7*u**3/6 + 4*u**2 + 14*u. Let k be x(-6). Factor 1/4*f + 1/4*f**k - 1/2. (f - 1)*(f + 2)/4 Let b(y) be the third derivative of -y**5/36 - 25*y**4/72 - 28*y**2. Factor b(d). -5*d*(d + 5)/3 Let a = -695/4 - -174. Let y = 1 + a. Factor -5*u**2 + y*u + 0. -5*u*(4*u - 1)/4 Let s(c) = -3*c**3 + 5*c**2 - 7*c + 3. Let g(m) = 11*m**3 - 16*m**2 + 20*m - 8. Let l(n) = 6*g(n) + 21*s(n). Solve l(x) = 0. -5, 1 Let z(b) = 32*b**3 - 40*b - 8. Let c(t) = -t**4 - 33*t**3 + t**2 + 39*t + 6. Let q(f) = -4*c(f) - 3*z(f). Factor q(a). 4*a*(a - 1)*(a + 1)*(a + 9) Let j be ((-3)/2)/(4/(-8)). Suppose 15 = 8*b - j*b. Factor -1/3*c**5 + 0 + 1/3*c**b + 0*c + 1/3*c**4 - 1/3*c**2. -c**2*(c - 1)**2*(c + 1)/3 Factor -394*w**2 - 7*w**4 - 48*w + 3*w**4 + 446*w**2. -4*w*(w - 3)*(w - 1)*(w + 4) Let v(h) be the first derivative of -h**6/9 + 4*h**5/5 + h**4 - 56*h**3/9 - 15*h**2 - 12*h - 221. Find a such that v(a) = 0. -1, 3, 6 Factor 7 + 1/6*w**2 + 13/6*w. (w + 6)*(w + 7)/6 Suppose -5*a - 20 = 0, 0 = 3*g - g + 4*a + 28. Let f be 12/(g/(-2))*10/180. Factor 2/9*c + 0 + f*c**2. 2*c*(c + 1)/9 Let o(h) = h - 1. Let a(b) = b**3 - b**2 - b - 1. Let w(i) = -a(i) + o(i). Let w(r) = 0. Calculate r. -1, 0, 2 Let c(z) = 8*z**3 + 134*z**2 + 298*z + 154. Let r(p) = -22*p**3 - 403*p**2 - 893*p - 461. Let i(d) = -17*c(d) - 6*r(d). Factor i(l). -4*(l - 37)*(l + 1)**2 Let j(y) be the second derivative of 0*y**2 + 0 - 5/12*y**4 - 22*y + 0*y**3 - 1/2*y**5 - 1/6*y**6. Find p such that j(p) = 0. -1, 0 Let v(b) be the first derivative of -b**7/8820 - b**6/1890 + b**5/252 + b**4/42 + 5*b**3/3 - 12. Let m(
{ "pile_set_name": "DM Mathematics" }
51. Calculate s(14). 1 Let g(c) = 3318*c - 112671. Calculate g(34). 141 Let i(g) = -g**3 + 20*g**2 - 173*g + 1880. Calculate i(16). 136 Let b(r) = -r**3 + 49*r**2 + 81*r + 1288. What is b(51)? 217 Let w(n) = 350*n + 9111. Give w(-27). -339 Let y(k) = -251*k - 28466. What is y(-124)? 2658 Let n(s) = -2*s**2 + 85374*s + 256161. Give n(-3). 21 Let j(g) = -g**3 - 66*g**2 - 86*g + 556. What is j(-63)? -5933 Let v(k) = k**3 + 34*k**2 - 3199*k + 1. Give v(42). -293 Let g(m) = -2*m**2 - 768*m - 6002. What is g(-8)? 14 Let d(x) = x**2 - 2179*x + 55981. What is d(26)? 3 Let t(m) = -2*m**3 + 34*m**2 - 48*m - 29. Determine t(2). -5 Let i(k) = -118*k + 36977. Determine i(313). 43 Let a(t) = 4*t**2 + 69*t - 1213. Calculate a(-28). -9 Let f(i) = 566*i + 21127. Determine f(-37). 185 Let n(b) = 1341*b + 95302. Calculate n(-71). 91 Let t(d) = -328*d**2 + 68225*d - 212. Give t(208). -4 Let g(x) = -x**2 - 1962*x + 13787. Give g(7). 4 Let u(i) = 9*i**3 - 39*i**2 - 404*i + 1121. What is u(8)? 1 Let j(u) = -9*u**2 + 221*u + 197. Determine j(27). -397 Let m(q) = -q**3 - 57*q**2 + 1931*q - 9645. Determine m(-82). 113 Let i(d) = 560*d**2 - 154000*d + 36. What is i(275)? 36 Let y(m) = 4939*m - 997726. Determine y(202). -48 Let m(f) = -115381*f - 230757. Determine m(-2). 5 Let q(r) = 5*r**2 - 7189*r - 1. Give q(0). -1 Let f(c) = 3*c**2 - 141*c + 101. What is f(52)? 881 Let b(k) = 10996*k + 670831. Calculate b(-61). 75 Let y(n) = -2*n**3 - 158*n**2 + 636*n + 25269. Calculate y(-81). -3 Let g(y) = 8*y**3 - 1017*y**2 + 129*y - 248. Give g(127). 6 Let g(d) = -286364*d - 1431817. Give g(-5). 3 Let k(r) = 723*r + 9359. Calculate k(-13). -40 Let z(t) = 12*t**2 + 344*t - 2031. Calculate z(5). -11 Let v(l) = 3*l**2 + 603*l - 5951. Give v(9). -281 Let h(m) = -m**3 + 624*m**2 + 423939*m - 392. Determine h(-410). 18 Let v(d) = d**3 - 154*d**2 + 1456*d - 2299. What is v(144)? 5 Let o(c) = -52966*c + 4872874. Give o(92). 2 Let c(o) = -13633*o - 817876. Calculate c(-60). 104 Let y(u) = u**3 - 61*u**2 - 551*u - 14. Determine y(69). 55 Let f(b) = 4*b**2 - 1114*b - 24992. Determine f(-21). 166 Let i(t) = -9439*t - 254798. Determine i(-27). 55 Let n(g) = 1010*g + 99050. Determine n(-98). 70 Let j(k) = -k**3 - 68*k**2 - 435*k - 3888. Determine j(-62). 18 Let n(g) = 9294*g + 715665. What is n(-77)? 27 Let w(s) = 98550*s + 1281156. Give w(-13). 6 Let z(a) = -2*a**2 + 10588*a + 201904. What is z(-19)? 10 Let h(p) = -308*p + 48. What is h(0)? 48 Let n(r) = r**3 - 178*r**2 + 1527*r - 206922. Give n(176). -122 Let b(i) = 3344*i + 23658. What is b(-7)? 250 Let j(h) = -109*h**3 - 980*h**2 - 185*h - 1825. Give j(-9). -79 Let h(z) = 1195*z - 29898. Give h(25). -23 Let n(h) = -3*h**2 + 103*h - 1067. Calculate n(12). -263 Let s(z) = 2*z**3 + 11*z**2 + 2096*z + 12739. Determine s(-6). 127 Let c(y) = -2*y**2 + 752*y - 27927. Determine c(42). 129 Let h(a) = 11391*a - 4419720. Give h(388). -12 Let d(r) = -2246*r + 9354. Give d(4). 370 Let n(t) = 4720*t + 4568. Calculate n(-1). -152 Let n(z) = -3*z**2 - 3630*z - 60827. Give n(-17). 16 Let k(g) = -105*g**2 - 5976*g + 6618. Determine k(-58). 6 Let c(j) = 6*j**3 + 2257*j**2 + 341*j - 13162. Calculate c(-376). -2 Let y(l) = -l**2 - 37711*l - 188540. Calculate y(-5). -10 Let b(r) = -233*r**2 + 329237*r - 11297. Give b(1413). 7 Let u(k) = 87*k**3 - k**2 + 26*k + 51. Determine u(-2). -701 Let a(f) = -1534*f**3 - 142*f**2 - 2*f - 2. Determine a(-1). 1392 Let i(n) = n**2 + 39*n - 20347. Calculate i(-165). 443 Let j(r) = 250*r**2 + 150513*r + 7828. Determine j(-602). 2 Let c(t) = t**3 - t**2 + 162*t - 620. Determine c(4). 76 Let a(k) = -949*k + 15969. Determine a(19). -2062 Let n(m) = m**3 + 158*m**2 + 207*m - 188406. Give n(-148). -2 Let u(o) = -13308*o - 66536. Calculate u(-5). 4 Let s(t) = -16338*t - 114446. Determine s(-7). -80 Let w(f) = -22063*f - 66195. What is w(-3)? -6 Let h(r) = r**2 + 151*r - 20420. What is h(86)? -38 Let a(n) = -7300*n - 356916. What is a(-49)? 784 Let l(j) = 8234*j - 642536. Give l(78). -284 Let w(x) = 7*x**3 + 110*x**2 + 209*x + 648. Determine w(-14). 74 Let g(y) = y**2 + 741*y - 96503. Determine g(113). -1 Let b(g) = -343*g**2 - 56937*g + 163. Determine b(-166). -3 Let f(b) = -1066*b**2 + 2136*b - 13. What is f(2)? -5 Let c(o) = -3562*o - 338348. What is c(-95)? 42 Let m(s) = -3*s**2 + 605*s + 10586. What is m(218)? -96 Let u(c) = -18*c**2 - 2529*c + 1265. What is u(-141)? -4 Let x(s) = -2*s**3 - 115*s**2 - 41*s + 913. Determine x(-57). 1 Let t(c) = -45*c**3 + 2122*c**2 - 326*c - 151. Calculate t(47). -10 Let t(u) = 4*u**2 + 1826*u + 31065. What is t(-17)? 1179 Let r(t) = 729*t + 120298. Calculate r(-165). 13 Let o(m) = 26906*m - 44. Give o(0). -44 Let f(g) = -7064*g - 52376. Determine f(-8). 4136 Let j(l) = 3*l**3 + 5*l**2 - 44*l + 15. Determine j(3). 9 Let s(f) = 1471*f - 66167. What is s(45)? 28 Let q(k) = 419*k**2 - 6305*k + 296. Give q(15). -4 Let k(h) = -4*h**3 + 52*h**2 + 739*h - 9646. Determine k(13). -39 Let x(a) = 2*a**3 - 57*a**2 + 352*a - 5797. Determine x(26). -25 Let a(r) = 3*r**2 + 2370*r - 118018. Give a(47). -1 Let y(q) = -q**3 + 18*q**2 - 25*q - 4. Calculate y(19). -840 Let q(u) = -13*u**2 + 123*u + 101. Determine q(12). -295 Let c(v) = v**3 - 236*v**2 + 208*v + 6297. Calculate c(235). -48 Let x(j) = -163901*j + 655611. Give x(4). 7 Let h(f) = 6*f**2 - 636*f - 1243. Calculate h(108). 53 Let r(c) = c**2 + 750*c - 4550. Give r(6). -14 Let x(f) = -3*f**2 - 1628*f + 19963. Determine x(12). -5 Let r(y) = 2511*y + 183275. What is r(-73)? -28 Let g(j) = 5*j**2 - 39*j - 423. What is g(-6)? -9 Let c(k) = -29331*k - 1202687. What is c(-41)? -116 Let q(a) = -3*a**3 + 11832*a**2 + 11782*a - 51. What is q(-1)? 2 Let s(l) = -9*l**3 - 1043*l**2 + 139*l + 1779. Give s(-116). -889 Let l(s) = s**2 - 376*s + 3245. Calculate l(9). -58 Let x(i) = 571*i**2 + 75373*i + 107. What is x(-132)? -25 Let h(c) = -62663*c - 2067886. Calculate h(-33). -7 Let a(f) = -6*f**2 - 150*f - 580. Calculate a(-4). -76 Let x(n) = -105*n + 12404. Calculate x(120). -196 Let n(s) = -28*s**2 + 3108*s - 4. Calculate n(111). -4 Let x(f) = -7418*f + 2388589. Calculate x(322). -7 Let j(b) = b**2 - 25*b - 9408. What is j(110)? -58 Let j(a) = -9*a**3 + 22*a**2 - 63*a + 19. Give j(4). -457 Let i(m) = -18*m**2 + 539*m + 538. Determine i(32). -646 Let y(g) = 80091*g + 3123443. Give y(-39). -106 Let n(q) = -2*q**3 - 219*q**2 + 1087*q - 8. Determine n(5). -298 Let p(i) = -i**3 + 15*i**2 - 60*i - 18. Calculate p(9). -72 Let v(m) = -61*m**3 + 1403*m**2 + 2*m - 24. Calculate v(23). 22 Let r(f) = 377299*f + 5659479. Calculate r(-15). -6 Let x(b) = -b**2 + 1298*b - 75448. Determine x(61). 9 Let b(r) = 3666*r + 3786982. What is b(-1033)? 4 Let n(v) = 8314*v - 257714. Calculate n(31). 20 Let d(r) = 8*r**3 - 23*r**2 - 5*r + 6. Determine d(-2). -140 Let y(u) = -u**2 + 185457*u + 741843. Calculate y(-4). -1 Let y(u) = 17*u - 135. Determine y(2). -101 Let g(u) = -u**3 + 41*u**2 - 341*u + 4641. What is g(36)? -1155 Let s(q) = -q**3 + 85*q**2 - 41*q - 3684. What is s(84)? -72 Let m(d) = -171*d**3 - 5*d**2 - 73*d - 141. Calculate m(-2). 1353 Let o(k) = 92*k + 6816. Give o(-74). 8 Let w(c) = c**3 + 159*c**2 + 2381*c + 1357. Give w(-16). -131 Let d(o) = 2361*o**2 - 118047*o - 132. Determine d(50). 18 Let d(z) = -1310600*z + 3931799. Determine d(3). -1 Let k(t) = 15*t**2 + 3*t - 285. Give k(8). 699 Let k(y) = -547*y**2 + 143*y - 95. Calculate k(1). -499 Let r(x) = -267*x**2 + 216*x + 952. What is r(-4)? -4184 Let y(b) = b**3 - 25*b**2 + 127*b - 570. Calculate y(20). -30 Let s(v) = 4*v**2 - 2110*v - 31432. Calculate s(542). 4 Let j(w) = -3*w**2 + 44*w - 269. What is j(5)? -124 Let h(o) = o**2 - 278*o + 15615. Give h(183). -1770 Let f(c) = 934145*c - 15880464. Calculate f(17). 1 Let y(u) = -u**2 + 23011*u + 391476. What is y(-17)? 0 Let w(a) = -21*a + 58. Calculate w(7). -89 Let h(c) = -227*c**2 - 438*c + 757. What is h(-3)? 28 Let i(r) = r**3 - 49*r**2 + 409*r + 344. What is i(38)? 2 Let l(q) = 630*q - 162528. Give l(258). 12 Let k(y) = -525632*y + 1576875. What is k(3)? -21 Let p(y) = 4320*y - 38940. Determine p(9). -60 Let n(r) = 4*r**3 - 239*r**2 - 55*r - 364. What is n(60)? -64 Let j(v) = v**3 - 55*v**2 - 236*v + 6951. Calculate j(57). -3 Let i(u) = -3*u**2 - 96*u + 3807. Give i(-58)
{ "pile_set_name": "DM Mathematics" }
7, 27997 List the prime factors of 16793230. 2, 5, 1679323 List the prime factors of 4529929. 4529929 List the prime factors of 17615514. 2, 3, 7, 419417 List the prime factors of 10300147. 11, 13, 17, 19, 223 What are the prime factors of 8541131? 109, 127, 617 List the prime factors of 2462213. 13, 189401 What are the prime factors of 249577? 17, 53, 277 What are the prime factors of 835997? 835997 What are the prime factors of 748795? 5, 149759 What are the prime factors of 6766258? 2, 1511, 2239 List the prime factors of 923856. 2, 3, 19, 1013 List the prime factors of 425665. 5, 85133 List the prime factors of 185137. 185137 What are the prime factors of 169012? 2, 29, 31, 47 List the prime factors of 2839370. 2, 5, 283937 What are the prime factors of 26963296? 2, 907, 929 List the prime factors of 5870241. 3, 13, 131, 383 List the prime factors of 428030. 2, 5, 23, 1861 What are the prime factors of 573290? 2, 5, 57329 List the prime factors of 1996456. 2, 7, 11, 463 What are the prime factors of 43167? 3, 14389 List the prime factors of 10549152. 2, 3, 36629 What are the prime factors of 12068437? 29, 416153 What are the prime factors of 537588? 2, 3, 109, 137 List the prime factors of 2761423. 7, 394489 List the prime factors of 1755434. 2, 563, 1559 What are the prime factors of 5206863? 3, 29, 97, 617 What are the prime factors of 3346623? 3, 7, 17707 List the prime factors of 741285. 3, 5, 17, 19 What are the prime factors of 3763125? 3, 5, 223 What are the prime factors of 899274? 2, 3, 67, 2237 List the prime factors of 246265. 5, 49253 List the prime factors of 259127. 11, 23557 What are the prime factors of 16338134? 2, 8169067 List the prime factors of 3660849. 3, 41, 3307 List the prime factors of 505133. 463, 1091 What are the prime factors of 25254? 2, 3, 23, 61 List the prime factors of 1814308. 2, 17, 26681 List the prime factors of 1851916. 2, 11, 42089 What are the prime factors of 36768? 2, 3, 383 What are the prime factors of 2931526? 2, 13, 137, 823 What are the prime factors of 4904606? 2, 7, 50047 What are the prime factors of 35835684? 2, 3, 37, 43, 1877 List the prime factors of 161588. 2, 7, 29, 199 What are the prime factors of 124563? 3, 41521 List the prime factors of 3117141. 3, 346349 List the prime factors of 4449899. 4449899 What are the prime factors of 356798? 2, 13, 13723 List the prime factors of 89190. 2, 3, 5, 991 What are the prime factors of 1475766? 2, 3, 27329 What are the prime factors of 1882832? 2, 7, 16811 What are the prime factors of 1211587? 13, 93199 List the prime factors of 197389. 197389 What are the prime factors of 116411? 116411 List the prime factors of 281451. 3, 23, 4079 What are the prime factors of 11660986? 2, 5830493 What are the prime factors of 1960422? 2, 3, 326737 List the prime factors of 879667. 879667 What are the prime factors of 2046299? 2046299 What are the prime factors of 4819? 61, 79 What are the prime factors of 9403057? 17, 73, 7577 List the prime factors of 3315426. 2, 3, 101, 5471 What are the prime factors of 621710? 2, 5, 62171 What are the prime factors of 3919011? 3, 83, 15739 What are the prime factors of 237007? 89, 2663 List the prime factors of 256097. 71, 3607 What are the prime factors of 91570? 2, 5, 9157 What are the prime factors of 805956? 2, 3, 47, 1429 List the prime factors of 312381. 3, 61, 569 What are the prime factors of 8672083? 7, 1049, 1181 What are the prime factors of 25658? 2, 12829 List the prime factors of 21481223. 21481223 What are the prime factors of 246426? 2, 3, 67, 613 What are the prime factors of 52019? 11, 4729 What are the prime factors of 88094? 2, 17, 2591 What are the prime factors of 40755? 3, 5, 11, 13, 19 What are the prime factors of 543077? 19, 101, 283 What are the prime factors of 694862? 2, 7, 49633 What are the prime factors of 73802? 2, 36901 What are the prime factors of 235248? 2, 3, 13, 29 What are the prime factors of 423955? 5, 7, 12113 List the prime factors of 2634287. 31, 84977 What are the prime factors of 5884335? 3, 5, 43, 3041 What are the prime factors of 2340083? 47, 49789 List the prime factors of 234488. 2, 29311 List the prime factors of 4047493. 257, 15749 What are the prime factors of 2220600? 2, 3, 5, 3701 List the prime factors of 23246270. 2, 5, 563, 4129 List the prime factors of 1316086. 2, 658043 What are the prime factors of 8451821? 7, 1207403 What are the prime factors of 623147? 7, 89021 List the prime factors of 5892395. 5, 1178479 List the prime factors of 9570970. 2, 5, 957097 What are the prime factors of 1093070? 2, 5, 11, 19, 523 List the prime factors of 2869510. 2, 5, 7, 40993 List the prime factors of 1514297. 23, 65839 What are the prime factors of 27072307? 27072307 What are the prime factors of 7205? 5, 11, 131 What are the prime factors of 7262456? 2, 907807 List the prime factors of 2064675. 3, 5, 27529 List the prime factors of 247262. 2, 123631 List the prime factors of 15258121. 19, 803059 What are the prime factors of 3838049? 887, 4327 List the prime factors of 6353146. 2, 29, 109537 What are the prime factors of 965750? 2, 5, 3863 List the prime factors of 2091429. 3, 232381 What are the prime factors of 717650? 2, 5, 31, 463 What are the prime factors of 525420? 2, 3, 5, 7, 139 What are the prime factors of 6992854? 2, 11, 317857 List the prime factors of 10340390. 2, 5, 37, 27947 List the prime factors of 1988713. 37, 59, 911 List the prime factors of 27908214. 2, 3, 4651369 What are the prime factors of 1255411? 53, 23687 What are the prime factors of 1999853? 1999853 What are the prime factors of 2783015? 5, 199, 2797 List the prime factors of 240682. 2, 13, 9257 List the prime factors of 18733444. 2, 59, 79379 What are the prime factors of 4840482? 2, 3, 67, 12041 What are the prime factors of 1691645? 5, 193, 1753 List the prime factors of 160459. 13, 12343 List the prime factors of 138744. 2, 3, 41, 47 What are the prime factors of 502478? 2, 277, 907 List the prime factors of 7811203. 7811203 List the prime factors of 10459010. 2, 5, 71, 14731 List the prime factors of 192477. 3, 83, 773 List the prime factors of 7709164. 2, 373, 5167 What are the prime factors of 542426? 2, 367, 739 List the prime factors of 50587. 50587 What are the prime factors of 14921097? 3, 181, 27479 What are the prime factors of 169199? 169199 What are the prime factors of 3643180? 2, 5, 182159 What are the prime factors of 827044? 2, 199, 1039 What are the prime factors of 367445? 5, 13, 5653 What are the prime factors of 3000133? 3000133 What are the prime factors of 308771? 17, 41, 443 What are the prime factors of 7518013? 227, 33119 What are the prime factors of 176226? 2, 3, 23, 1277 What are the prime factors of 6350260? 2, 5, 7, 67, 677 List the prime factors of 21178096. 2, 653, 2027 List the prime factors of 347033. 347033 What are the prime factors of 62472? 2, 3, 19, 137 What are the prime factors of 7039706? 2, 3519853 What are the prime factors of 114209? 19, 6011 What are the prime factors of 14125190? 2, 5, 59, 89, 269 List the prime factors of 1050768. 2, 3, 7297 What are the prime factors of 479154? 2, 3, 13, 6143 What are the prime factors of 6229604? 2, 127, 12263 List the prime factors of 10721582. 2, 41, 53, 2467 What are the prime factors of 1366275? 3, 5, 18217 List the prime factors of 6235642. 2, 7, 63629 What are the prime factors of 12836882? 2, 181, 35461 What are the prime factors of 481353? 3, 281, 571 List the prime factors of 771894. 2, 3, 19, 37, 61 List the prime factors of 594138. 2, 3, 99023 What are the prime factors of 2246336? 2, 35099 List the prime factors of 707133. 3, 7, 151, 223 What are the prime factors of 18451290? 2, 3, 5, 11, 13, 17, 23 What are the prime factors of 1671279? 3, 557093 List the prime factors of 212343. 3, 37, 1913 List the prime factors of 66755. 5, 13, 79 What are the prime factors of 1290076? 2, 322519 List the prime factors of 2450049. 3, 7, 2381 What are the prime factors of 546037? 421, 1297 List the prime factors of 1919980. 2, 5, 17, 5647 List the prime factors of 12295603. 19, 211, 3067 What are the prime factors of 436300? 2, 5, 4363 What are the prime factors of 612476? 2, 17, 9007 List the prim
{ "pile_set_name": "DM Mathematics" }
is positive. d**(233/22) Simplify ((m*m**(1/2)*m)/m**(-5))**(4/41) assuming m is positive. m**(30/41) Simplify (q**30*q)/(q**13/q*q) assuming q is positive. q**18 Simplify (p**(2/7))**(-9/10) assuming p is positive. p**(-9/35) Simplify (n**0/n)**(-14) assuming n is positive. n**14 Simplify i**9*i/(((i*i**(-3))/i)/i)*(i*(i*i*i**(-1/3))/i)**(-8) assuming i is positive. i**(2/3) Simplify q**12/q*q**18 assuming q is positive. q**29 Simplify (c*c**(-4/13))/(c/(c/c**(-2/17)*c)) assuming c is positive. c**(400/221) Simplify c**(3/26)/(c/(c/c**(22/3))) assuming c is positive. c**(-563/78) Simplify (a/a**3*a*a**(-1/11))/(a**(-5)/a*((a*a**7)/a)/a) assuming a is positive. a**(-12/11) Simplify (c**0*c**(-3/5)/c)**14 assuming c is positive. c**(-112/5) Simplify (w/(w*w/(w/(w*w**(-16)*w)*w)))**(-13) assuming w is positive. w**(-195) Simplify (n**(1/3))**(-1/29)/(n**3*n**(-4/3)/n) assuming n is positive. n**(-59/87) Simplify (n**(9/8)*n)/n*n**5 assuming n is positive. n**(49/8) Simplify (s**(-1)*s)**34/(s*s/((s/s**(-1/2))/s)*s)**(6/5) assuming s is positive. s**(-3) Simplify (r/(r/(r*r**(1/3)*r))*r)**47/(((r*(r*r/(r**(-6)/r))/r*r*r*r)/r)/(r**(1/7)/r)) assuming r is positive. r**(3041/21) Simplify ((z*z*z/(z*z/(z*z*z*z**5)))/(z**1*z))**(-8/7) assuming z is positive. z**(-8) Simplify (r/(r*r**7))**(-35) assuming r is positive. r**245 Simplify (z**(-3/10)*z)/(z**(-1)*z) assuming z is positive. z**(7/10) Simplify ((t**(-4))**(5/2))**(-48) assuming t is positive. t**480 Simplify (q**22)**(-3/25) assuming q is positive. q**(-66/25) Simplify ((x**1*x)/x*x*x*x*x*x)**8*x**(-5)*x**(-4)*x*x assuming x is positive. x**41 Simplify (h*h**(-2/17))/(h*(h/(h/(h/((h**(5/2)*h)/h))))/h) assuming h is positive. h**(81/34) Simplify (v**5/(v/v**(-3/4)*v))**(-2/77) assuming v is positive. v**(-9/154) Simplify (z*(z*z**2)/z*z*z*z)**(-7/3) assuming z is positive. z**(-14) Simplify (u*u**(2/5)*u)**(-1/10)*(u*u/u**0)**(-15/4) assuming u is positive. u**(-387/50) Simplify ((u**(-3/11))**(-5/9))**(-39) assuming u is positive. u**(-65/11) Simplify (k**(2/3))**(-2/143)/(k/k**(-1/3)*k)**(-9/7) assuming k is positive. k**(1283/429) Simplify g**(2/5)*g*g**(1/7)*(g**0/g)**(-12/17) assuming g is positive. g**(1338/595) Simplify (((g/g**0)/g)/g)**(-12)/(g*g/(g*g**(-2/7)*g)*g*g/(g**(2/9)*g)) assuming g is positive. g**(689/63) Simplify i/(((i/(i*i**(-4/13)))/i)/i)*i*i/(i*(i**10*i)/i) assuming i is positive. i**(-82/13) Simplify (v**(-2)/v)**(-11/5)*v**9/v**(1/6) assuming v is positive. v**(463/30) Simplify ((k/(k/(k**(-2/5)/k)))/k)**(-3/28)/(k**4*k*k**(-6)*k) assuming k is positive. k**(9/35) Simplify (i/(i/(i**1*i)))**(1/19) assuming i is positive. i**(2/19) Simplify (d/d**(1/8)*d/d**(-2/9))**(43/3) assuming d is positive. d**(6493/216) Simplify ((r/r**(-3))/r)**(-2/23) assuming r is positive. r**(-6/23) Simplify h**(-2/63)*(h/h**(-15))/h*h assuming h is positive. h**(1006/63) Simplify ((v/v**0*v*v)**(1/23))**(-1/28) assuming v is positive. v**(-3/644) Simplify s**(-4/7)/(s**(-4/3)*s) assuming s is positive. s**(-5/21) Simplify k**(-2/7)/k*k/(k**17*k) assuming k is positive. k**(-128/7) Simplify (w*w**1)**(3/38)*(w**3/w)/w**(-1) assuming w is positive. w**(60/19) Simplify (m**(1/5)/(m*m**(1/6)*m))**(-47) assuming m is positive. m**(2773/30) Simplify ((d*(d**4*d)/d)/d**(-5))**33 assuming d is positive. d**330 Simplify ((r**27/r*r)/r)**(-3/5) assuming r is positive. r**(-78/5) Simplify ((a*a**(2/19)/a*a)/(a*a**(-1)*a*a))/((a/a**(-2))/a*a*a/(((a*a**(-4)/a)/a)/a)*a*a*a) assuming a is positive. a**(-264/19) Simplify ((o**(-5)*o)/o)/o*o/(o*(o/o**23)/o)*o assuming o is positive. o**18 Simplify n**(-7)/(n/n**(-8)) assuming n is positive. n**(-16) Simplify ((q/(q/(q*q**(-2))))/q*q*q**(1/5))**(-2) assuming q is positive. q**(8/5) Simplify o**27*(((o/o**(4/3))/o)/o*o)/o assuming o is positive. o**(74/3) Simplify ((k*k**2)**7)**(11/3) assuming k is positive. k**77 Simplify ((u*u*u**(-2)*u)/u*u)**(-11)/(u**(2/13)/u**7) assuming u is positive. u**(-54/13) Simplify ((t/(t**(7/4)*t)*t)/(t*t*t*t/(t/t**10)))/(t**(-5)*t*t/t**(4/5)) assuming t is positive. t**(-199/20) Simplify (t/(t/(t*(t*t**(-5))/t*t*t)))/(((t**(3/8)/t)/t)/t*t)*(t**0/t)**(-39) assuming t is positive. t**(309/8) Simplify o**(-16)/(o/o**(-20)) assuming o is positive. o**(-37) Simplify ((s**(1/4)/s)/(s/s**(1/3)*s))/(s**(-5)/s**(-1/4)) assuming s is positive. s**(7/3) Simplify (q/(q*q**15*q))/(q/q**(3/2)) assuming q is positive. q**(-31/2) Simplify (k*k**(2/7))**(-18)/(k**0/k)**(4/17) assuming k is positive. k**(-2726/119) Simplify (a**(20/3)*a)/a*a*a**(-2/9) assuming a is positive. a**(67/9) Simplify (d**(-2/3))**(-28)/(d**(-6)/d**(-2)) assuming d is positive. d**(68/3) Simplify ((m*m**(-1/5)/m)**35)**(-20) assuming m is positive. m**140 Simplify ((b*b*b**(1/4)*b)**(-4/5))**(1/3) assuming b is positive. b**(-13/15) Simplify o**(-2/3)/(o*o*(o**(-24)/o)/o) assuming o is positive. o**(70/3) Simplify ((h/h**0)/h)/(h/(h**6*h))*(h**2/h)**40 assuming h is positive. h**46 Simplify o**(-2/11)/o*o**31 assuming o is positive. o**(328/11) Simplify (s/s**5*s**(-2))**25 assuming s is positive. s**(-150) Simplify ((h/(h**2/h))/h*h**5*h)**(-49) assuming h is positive. h**(-245) Simplify (m**(2/55))**17 assuming m is positive. m**(34/55) Simplify (k**4*k*k**6)/(k**7/k*(k**4*k*k)/k) assuming k is positive. 1 Simplify s*s/(s/s**(-1/2))*s**6*(s/((s*s**1)/s))**39 assuming s is positive. s**(13/2) Simplify (j**(6/5)*j)**(5/14) assuming j is positive. j**(11/14) Simplify ((k**(1/2)*k)/k)**(-2)*((k*k**(-1/4))/k*k)/k*k**(-5) assuming k is positive. k**(-25/4) Simplify (r*r*r*r**2*r)/(r*r/(r/((r/(r/r**(-3))*r)/r)))*r*r*r/r**(-5/6)*r*r**0/r*r*r assuming r is positive. r**(83/6) Simplify ((v**(-1/2))**(-26))**(-18) assuming v is positive. v**(-234) Simplify (m**(-5)/(m**(7/2)/m))**(-1/59) assuming m is positive. m**(15/118) Simplify (p**(-2))**(-1/15) assuming p is positive. p**(2/15) Simplify z/z**(-7/8)*z/(z/z**(1/2)) assuming z is positive. z**(19/8) Simplify (d**0*d*d**4)**5 assuming d is positive. d**25 Simplify (p/p**8*(p*((p/p**(1/8))/p)/p)/p)/(p**1*p)**(-18) assuming p is positive. p**(223/8) Simplify u/u**(-4)*u*u*u/(u*u*u/u**(-2/5)) assuming u is positive. u**(23/5) Simplify (i**(-1))**(-17)*(i**6*i)/i**(-3) assuming i is positive. i**27 Simplify (a/a**(-2))/(a*a/a**(-9)*a)*(a*a**(-1/14))/((a*a**(-11))/a) assuming a is positive. a**(41/14) Simplify (h**(-7)/(h*h**(3/5)))/(h**0/(((h*h/h**4)/h)/h)) assuming h is positive. h**(-63/5) Simplify (n**(-17)*n)**(-13/3) assuming n is positive. n**(208/3) Simplify (u**1)**49*(u/(u/(u/(u*u**(-4)))))/(u**4*u*u) assuming u is positive. u**47 Simplify (a*a/a**(2/9)*a**(-1/14))**(9/4) assuming a is positive. a**(215/56) Simplify ((b/(b/(b*b/(b/(b*b*b*b**(-4)*b))*b)))/(b*b**1*b))**(2/9) assuming b is positive. b**(-2/9) Simplify (l**(-1)*l*l**(3/5))/(l**1*l*(l*(l/(l/l**(1/5))*l)/l*l)/l) assuming l is positive. l**(-13/5) Simplify t*t**(-3/5)*t**(-7)*(t**7*t)/t**3 assuming t is positive. t**(-8/5) Simplify (o**7)**(5/6) assuming o is positive. o**(35/6) Simplify (t**(-2/5)/t)**(2/115)*t**(-7)/((t*t**(1/15))/t) assuming t is positive. t**(-12232/1725) Simplify (h/(h/(h**35/h)))/(h/(h*h**(1/5)*h*h)*h) assuming h is positive. h**(176/5) Simplify (w*w**(-3/4))/((w*w**(-6)*w*w)/w) assuming w is positive. w**(17/4) Simplify (u**(-1/7)*u*u**4)**19 assuming u is positive. u**(646/7) Simplify h*h**(-1/2)*h**(3/11)*h*h**(-3/7)/h*h*h**8 assuming h is positive. h**(1439/154) Simplify p**4/p*p/p**(8/5) assuming p is positive. p**(12/5) Simplify k**(12/7)*k**(-12) assuming k is positive. k**(-72/7) Simplify (j/j**(-28))/j*j**(1/30) assuming j is positive. j**(841/30) Simplify r**(3/8)*r**(-4/15) assuming r is positive. r**(13/120) Simplify (p**(-1/14))**(9/2) assuming p is positive. p**(-9/28) Simplify p**(2/51)/p**(11/3) assuming p is positive. p**(-185/51) Simplify (v*v**2)**(-2/31) assuming v is positive. v**(-6/31) Simplify r*r**(-5/12)*r*r*r*r**(-20)*r assuming r is positive. r**(-185/12) Simplify (y**(23/2))**(-14/5) assuming y is positive. y**(-161/5) Simplify ((q**2)**22)**(-8/5) assuming q is positive. q**(-352/5) Simplify t**(-3/4)*t/(t**(2/13)/t)*(t*t**(-4))/(t**(-5)/t) assuming t is positive. t**(213/52) Simplify (z**(-18))**(1/5)
{ "pile_set_name": "DM Mathematics" }
vative of -l**4/24 + 8*l**2. Let z be a(-5). Suppose -2*m = -4*p - 36, 3*m - 90 = -2*m - z*p. What is the units digit of m? 8 Let f(c) = 13*c**2 + 13*c + 12. What is the hundreds digit of f(-4)? 1 Let t be (21/14*1)/(6/8). Suppose 5*s - 2*s = t*z + 584, -s = 4*z - 190. What is the tens digit of s? 9 Let y(k) = 6*k**3 - 13*k**2 + 3*k + 12. What is the hundreds digit of y(5)? 4 Suppose 26*l - 28*l + 1046 = 0. What is the units digit of l? 3 Let q(c) = -101*c - 513. What is the thousands digit of q(-23)? 1 Let p(k) = -k**3 + 8*k**2 - 9*k + 6. Let v be p(7). Suppose 3*t = -0*z - 3*z + 36, 0 = 3*z. Let d = t + v. What is the units digit of d? 4 Suppose 0 = -3*i + i + 2*m + 1362, -3*i + 2048 = -4*m. What is the hundreds digit of i? 6 Let k be -2 + (-5 - (-163 + 3)). Suppose -3*z = -6*z + k. What is the tens digit of z? 5 Suppose -11*s + 6906 + 2774 = 0. What is the hundreds digit of s? 8 Let a(j) be the first derivative of 10 - 23/2*j**2 - 3*j. What is the tens digit of a(-2)? 4 What is the hundreds digit of (144/90)/((-4)/(-7030))? 8 Let x(m) = 1820*m - 403. What is the thousands digit of x(2)? 3 Suppose 0 = -797*i + 792*i + 1665. What is the hundreds digit of i? 3 Let f = 500 + -205. What is the units digit of f? 5 Suppose 4*l - 1 = 3*o + 1, 2*l + 8 = -3*o. What is the units digit of l/(-4 - (-380)/96)? 4 Let w = -320 + 332. What is the units digit of w? 2 Suppose 2*g - 498 = 2*h, -173 = -3*g - 3*h + 568. What is the units digit of g? 8 Let n(p) = -1 + 8*p - 6 - 10 + 1. What is the tens digit of n(9)? 5 Suppose 13*h = 7*h - 42. Let q(t) = -4*t + 32. What is the tens digit of q(h)? 6 Let r = -104 + 109. Suppose 0 = -2*q + r*k + 94, -k + 158 = q + 2*q. What is the tens digit of q? 5 Suppose -86 = -3*m + 4*m. Suppose -6*y = -0*y - 780. Let s = m + y. What is the tens digit of s? 4 Suppose -60*q + 86*q - 107484 = 0. What is the hundreds digit of q? 1 Let z(j) = 2*j**2 + 14*j + 10. Suppose -5*s - 19 = 26. Let b be z(s). Suppose -w - b = -2*v - 3*w, -w = -3. What is the units digit of v? 0 What is the tens digit of (684/14)/((12/42)/2)? 4 Let v = 1594 + -336. What is the units digit of v? 8 Let f(j) = 288*j**2 - j - 1. Let r be f(1). Suppose -1226 = -5*s - r. Suppose u - 5*u = -s. What is the units digit of u? 7 Let i = 1081 + -445. What is the tens digit of i? 3 Let n(i) = 30*i - 167. What is the hundreds digit of n(24)? 5 Let o(p) = -p**3 + 3*p**2 - 2*p + 6. Let q be o(3). Suppose q = -g - 0*g + 14. Suppose 18*u - g*u = 100. What is the units digit of u? 5 Let r(g) = 6*g. Let w be r(2). Let s = w - -8. Let m = -12 + s. What is the units digit of m? 8 Suppose -25*l = 2*s - 20*l - 1223, -4*s - 2*l = -2470. What is the units digit of s? 9 What is the tens digit of ((-4361)/(-63) - 4/18) + 3? 7 Let x(a) = -a**3 + 7*a**2 - 5*a - 4. Suppose u + 4*g + 5 - 1 = 0, -2*u - 20 = -4*g. Let h be 4/u - 18/(-4). What is the tens digit of x(h)? 2 Let h(o) = o**3 + 5*o**2 + 3*o. Let m be h(-4). Let l = m - -3. Suppose -l*f + 10*f = 126. What is the tens digit of f? 4 Suppose 0*p + 4*p + 3*w = 1, 8 = 4*p - 4*w. Suppose 0*j = -3*j + 9. Suppose j + p = r. What is the units digit of r? 4 Let c = -90 + 159. Let m = 201 - c. What is the units digit of m? 2 Suppose -3*f - 9 = -5*r - 41, -2*r + 46 = 3*f. Let h be 80/(-28) - 2/f. Let v = h + 36. What is the units digit of v? 3 Suppose q - 3*u = -2 + 3, 0 = q + u - 9. Suppose p + 17 = -2*t - t, -3*t - 15 = 0. Let m = q - p. What is the units digit of m? 9 Let k = 64 - 101. Let r = -87 + 143. Let v = r + k. What is the units digit of v? 9 Let v(a) = -a**3 + 2*a**2 - 4*a + 2. Let o be v(3). Let q = o + -94. Let n = q - -173. What is the tens digit of n? 6 Let k be (8/(-4) - 2) + -14. Let v be k/12 + (-115)/2. Let q = -41 - v. What is the units digit of q? 8 Suppose -4*k = -q + 496, q + 600 = -5*k - 29. Let a = 218 + k. What is the tens digit of a? 9 Suppose -60 = -10*g + 170. What is the units digit of g? 3 Suppose -5*v + 371 = f, 0 = -2*f - 2*v + 104 + 606. What is the units digit of 2 + f/6*(7 - 3)? 6 Suppose -3*r - 16 + 1 = 0. Let i(k) = k**2 + 5*k + 11. Let z(o) = -1. Let c(x) = i(x) + 5*z(x). What is the units digit of c(r)? 6 Let l = -250 + 143. Let x = 150 + l. What is the tens digit of x? 4 Let m(g) = -452*g**3 + g**2 - g - 1. Let x be m(1). Let v = 667 + x. What is the tens digit of v? 1 Let w(o) be the second derivative of -o**5/20 - o**4/2 + 3*o**3/2 - 15*o**2/2 + 3*o. What is the units digit of w(-8)? 1 Let n(w) be the first derivative of 25*w**3/3 - 7*w**2/2 - 14*w - 42. What is the units digit of n(-3)? 2 Let p(j) = -2*j**3 + 7*j + 14. What is the tens digit of p(-6)? 0 Let o(p) = 2*p**2 - 19*p + 165. What is the units digit of o(-25)? 0 Suppose -2*p + 14 = l, -3*p + 5*p = l + 6. Suppose -5*w - 72 = -2*b, -l*w + 5 - 35 = -b. Suppose 0 = -f + b - 5. What is the units digit of f? 1 Suppose 29 = -5*j - 4*d, d = 5*j - 3 + 27. Suppose 5*s - 76 = -31. What is the units digit of (s/j)/((-1)/5)? 9 Suppose 0 = -20*d + 51200 - 3360. What is the thousands digit of d? 2 Let x = -606 + 2304. What is the tens digit of x? 9 Let u = 11 - 27. Suppose x + 5*k + 16 = 0, 17 = -3*x - 2*x - 4*k. What is the tens digit of x*15*u/20? 1 Suppose a - 8 = -a. Let n be ((-14)/(-18) - (-20)/90) + 140. Suppose 5*p + 3*b = n + 89, p - 23 = a*b. What is the tens digit of p? 4 Suppose 0 = -14*w + 11*w + x + 2036, w = 3*x + 692. What is the hundreds digit of w? 6 Let a(n) = -n**3 - 22*n**2 - 11*n + 12. Let p be a(-21). Let b = p + 288. What is the tens digit of b? 9 Let n(x) = -126*x - 52. What is the tens digit of n(-4)? 5 Suppose -36*r + 330 = -35*r. What is the units digit of r? 0 What is the units digit of 570/(8/96*8)? 5 Suppose -w + 285 = -f, 2*f - 1116 = -8*w + 4*w. What is the units digit of w? 1 Suppose -4*z - 1 = -d - 21, d + 11 = z. Let o be (d + 0)*18/24. What is the tens digit of o*-1*5/2? 1 What is the hundreds digit of 4/30 - -34*(-1318)/(-60)? 7 Let z be ((-1)/(-2)*-8 - -5) + 5. What is the tens digit of 415/4 + z*5/(-40)? 0 Suppose -o + 3*j + 585 = 0, 104 - 102 = -j. What is the tens digit of o? 7 Let m be 10/(-4)*(-24)/(-20). Let j = m + 2. Let b = 6 + j. What is the units digit of b? 5 Suppose 24 = 2*y + 2*a, -3*a + 4*a = 2*y - 15. Let w be (-7 - -10)*(y - 2). What is the units digit of 7/(w/18) - 0? 6 Let n(k) = 3*k - 10. Let g be n(5). Suppose -2*o = -8, g*d - 84 = d + 3*o. What is the units digit of d? 4 Let s(n) = -2*n**2 + 23*n - 14. What is the tens digit of s(7)? 4 Suppose n = -84 + 2246. What is the hundreds digit of n? 1 Let h = 6 + -2. Suppose 4*z - 105 = -h*b + 75, 5*b - 229 = -4*z. Let d = b - -4. What is the tens digit of d? 5 Let w = 815 - 79. Suppose -4*s - 4*m = -6*m - w, -2*s + 384 = 3*m. What is the units digit of s? 6 Let t = -25 - -98. What is the tens digit of t? 7 Suppose -2198*o = -2194*o - 17948. What is the hundreds digit of o? 4 Suppose 3*w - 218 - 376 = 2*k, 4*k - 812 = -4*w. What is the tens digit of w? 0 Suppose y - 4 = -5*z, -2*y - 24 = -4*y - 2*z. Suppose 3*f = 5*f - y. Suppose v - f + 0 = 0. What is the units digit of v? 7 Let a be (6/(-7))/((-24)/112). Suppose j + 4*y = -17, -a*j + 2*y = y - 17. Suppose j*h - 72 = -3*w, 3*h - 2 = 2*h. What is the units digit of w? 2 Suppose 2*u - 4*b = -u + 29, -2*b - 67 = -5*u. Suppose -4*i - u = -i, i - 69 = -2*c. What is the units digit of c? 7 Let d = 64 + 10. Suppose -3*z + d = -z. What is the units digit of z? 7 Let f(g) be the third derivative of 197*g**5/60 + g**4/24 - g**3/2 - 17*g**2. What is the tens digit of f(1)? 9 Suppose 8 = 2*d + 2. Let z = 136 + -133. Suppose v + 2*v + 75 = z*y, d*y = v + 65. What is the tens digit of y? 2 Suppose -5*l - 848 = -9*l. Suppose -2*d - d + l = 5*h, -d - 130 = -3*h. What is the units digit of h? 3 Suppose 255193 = 63*z + 8926. What is the hundreds digit of z? 9 Let l = -1448 - -1452. Suppose 2*y + 2*y - 54 = -5*x, -y + 7 = -2*x. Let n = y + l. What is the units digit of n? 5 Let v(l) = 11*l**2 - 9*l + 29. What is the hundreds digit of v(7)? 5 Let x = 20 + -21. Let o = x + 15. What is the units digit of o? 4 Let o = 9 - 7. Let h be o - (3 + -2 + -1). Suppose 7*y - 3*y = -h*t + 38, 5*t + 3*y - 95 = 0. What is the tens digit of t? 1 Let w = 37 + 219. Suppose 0 = -9*z + w + 284. What is the tens digit of z? 6 Suppose u +
{ "pile_set_name": "DM Mathematics" }
r? 26 What is 1387 to the power of 1/2, to the nearest integer? 37 What is 34051 to the power of 1/10, to the nearest integer? 3 What is 1576 to the power of 1/2, to the nearest integer? 40 What is the fourth root of 4352 to the nearest integer? 8 What is the square root of 9286 to the nearest integer? 96 What is the square root of 31928 to the nearest integer? 179 What is the third root of 16602 to the nearest integer? 26 What is the third root of 4994 to the nearest integer? 17 What is the cube root of 47751 to the nearest integer? 36 What is the square root of 24623 to the nearest integer? 157 What is 5734 to the power of 1/2, to the nearest integer? 76 What is the cube root of 43607 to the nearest integer? 35 What is 8062 to the power of 1/3, to the nearest integer? 20 What is the square root of 460 to the nearest integer? 21 What is the cube root of 6950 to the nearest integer? 19 What is 38358 to the power of 1/2, to the nearest integer? 196 What is 147 to the power of 1/2, to the nearest integer? 12 What is the square root of 76576 to the nearest integer? 277 What is the cube root of 8899 to the nearest integer? 21 What is the third root of 46955 to the nearest integer? 36 What is 1967 to the power of 1/2, to the nearest integer? 44 What is 17855 to the power of 1/10, to the nearest integer? 3 What is 110397 to the power of 1/2, to the nearest integer? 332 What is the seventh root of 8915 to the nearest integer? 4 What is the cube root of 1184 to the nearest integer? 11 What is the square root of 51152 to the nearest integer? 226 What is the seventh root of 6283 to the nearest integer? 3 What is 857 to the power of 1/2, to the nearest integer? 29 What is the third root of 9698 to the nearest integer? 21 What is the square root of 836 to the nearest integer? 29 What is the square root of 57183 to the nearest integer? 239 What is the square root of 1311 to the nearest integer? 36 What is the fourth root of 409 to the nearest integer? 4 What is the square root of 18651 to the nearest integer? 137 What is 804 to the power of 1/6, to the nearest integer? 3 What is 2142 to the power of 1/7, to the nearest integer? 3 What is the square root of 20661 to the nearest integer? 144 What is 98870 to the power of 1/3, to the nearest integer? 46 What is the eighth root of 92466 to the nearest integer? 4 What is the third root of 478 to the nearest integer? 8 What is the tenth root of 1014 to the nearest integer? 2 What is 2135 to the power of 1/6, to the nearest integer? 4 What is the square root of 11564 to the nearest integer? 108 What is the seventh root of 31735 to the nearest integer? 4 What is the square root of 8840 to the nearest integer? 94 What is the cube root of 4824 to the nearest integer? 17 What is 23168 to the power of 1/10, to the nearest integer? 3 What is the tenth root of 1279 to the nearest integer? 2 What is 482 to the power of 1/2, to the nearest integer? 22 What is the square root of 55165 to the nearest integer? 235 What is the third root of 4570 to the nearest integer? 17 What is 231 to the power of 1/4, to the nearest integer? 4 What is 1128 to the power of 1/9, to the nearest integer? 2 What is the cube root of 82268 to the nearest integer? 43 What is 73382 to the power of 1/4, to the nearest integer? 16 What is 65948 to the power of 1/2, to the nearest integer? 257 What is 1269 to the power of 1/2, to the nearest integer? 36 What is 72249 to the power of 1/5, to the nearest integer? 9 What is 742 to the power of 1/3, to the nearest integer? 9 What is 3883 to the power of 1/5, to the nearest integer? 5 What is the fifth root of 3886 to the nearest integer? 5 What is 18145 to the power of 1/2, to the nearest integer? 135 What is 74438 to the power of 1/2, to the nearest integer? 273 What is 750 to the power of 1/2, to the nearest integer? 27 What is the ninth root of 6395 to the nearest integer? 3 What is the square root of 162555 to the nearest integer? 403 What is the cube root of 13 to the nearest integer? 2 What is 12677 to the power of 1/3, to the nearest integer? 23 What is the ninth root of 121238 to the nearest integer? 4 What is the square root of 1396 to the nearest integer? 37 What is the ninth root of 2026 to the nearest integer? 2 What is the cube root of 1401 to the nearest integer? 11 What is the square root of 3391 to the nearest integer? 58 What is 21348 to the power of 1/3, to the nearest integer? 28 What is the seventh root of 1555 to the nearest integer? 3 What is the third root of 21008 to the nearest integer? 28 What is 864 to the power of 1/9, to the nearest integer? 2 What is 435 to the power of 1/3, to the nearest integer? 8 What is 67986 to the power of 1/4, to the nearest integer? 16 What is the sixth root of 9568 to the nearest integer? 5 What is the square root of 68 to the nearest integer? 8 What is the third root of 465 to the nearest integer? 8 What is the fourth root of 33023 to the nearest integer? 13 What is 650 to the power of 1/5, to the nearest integer? 4 What is 14743 to the power of 1/5, to the nearest integer? 7 What is the square root of 1593 to the nearest integer? 40 What is 2069 to the power of 1/9, to the nearest integer? 2 What is the cube root of 10348 to the nearest integer? 22 What is 12138 to the power of 1/6, to the nearest integer? 5 What is 1339 to the power of 1/8, to the nearest integer? 2 What is the square root of 27093 to the nearest integer? 165 What is the eighth root of 171864 to the nearest integer? 5 What is the cube root of 17689 to the nearest integer? 26 What is the cube root of 15892 to the nearest integer? 25 What is the ninth root of 9439 to the nearest integer? 3 What is 1015 to the power of 1/6, to the nearest integer? 3 What is the third root of 1119 to the nearest integer? 10 What is the tenth root of 141104 to the nearest integer? 3 What is the square root of 541 to the nearest integer? 23 What is the cube root of 126270 to the nearest integer? 50 What is the square root of 885 to the nearest integer? 30 What is the third root of 14484 to the nearest integer? 24 What is the cube root of 5090 to the nearest integer? 17 What is the square root of 319 to the nearest integer? 18 What is 621 to the power of 1/3, to the nearest integer? 9 What is 7655 to the power of 1/7, to the nearest integer? 4 What is the cube root of 115783 to the nearest integer? 49 What is the third root of 339 to the nearest integer? 7 What is the fourth root of 68448 to the nearest integer? 16 What is 393 to the power of 1/4, to the nearest integer? 4 What is 3368 to the power of 1/6, to the nearest integer? 4 What is 12085 to the power of 1/2, to the nearest integer? 110 What is the third root of 462 to the nearest integer? 8 What is 132 to the power of 1/2, to the nearest integer? 11 What is the third root of 22920 to the nearest integer? 28 What is 13561 to the power of 1/4, to the nearest integer? 11 What is 336 to the power of 1/3, to the nearest integer? 7 What is 84845 to the power of 1/3, to the nearest integer? 44 What is 1726 to the power of 1/2, to the nearest integer? 42 What is 249 to the power of 1/3, to the nearest integer? 6 What is the eighth root of 7599 to the nearest integer? 3 What is the third root of 66192 to the nearest integer? 40 What is 392 to the power of 1/5, to the nearest integer? 3 What is the square root of 11337 to the nearest integer? 106 What is the third root of 162936 to the nearest integer? 55 What is 62255 to the power of 1/9, to the nearest integer? 3 What is the fifth root of 246 to the nearest integer? 3 What is the eighth root of 722 to the nearest integer? 2 What is the fourth root of 441 to the nearest integer? 5 What is 11198 to the power of 1/10, to the nearest integer? 3 What is the third root of 3180 to the nearest integer? 15 What is the seventh root of 5103 to the nearest integer? 3 What is the cube root of 283 to the nearest integer? 7 What is 823 to the power of 1/7, to the nearest integer? 3 What is the tenth root of 2673 to the nearest integer? 2 What is the ninth root of 3012 to the nearest integer? 2 What is 1311 to the power of 1/5, to the nearest integer? 4 What is the square root of 1432 to the nearest integer? 38 Wh
{ "pile_set_name": "DM Mathematics" }
-2/43) assuming n is positive. n**(-38/43) Simplify ((k**(-1/2))**(-20))**(-33) assuming k is positive. k**(-330) Simplify (s**(-1)/s**(-1/3))/((s/(s/(s/(s/(s/(s/s**(2/5)))*s)))*s)/(s*s/(s*s**2*s)*s)) assuming s is positive. s**(-31/15) Simplify z/((z/(z*z**10/z))/z)*z**20/z assuming z is positive. z**30 Simplify (w**(7/9))**8 assuming w is positive. w**(56/9) Simplify (x**(-1))**(-31)/(x**(1/4))**(4/17) assuming x is positive. x**(526/17) Simplify g**(-4/21)/g*g**17/g assuming g is positive. g**(311/21) Simplify ((f*f*f/(f*f**(-8)))/(f**(-6)/f*f))**(8/5) assuming f is positive. f**(128/5) Simplify (r**6*r*r*r*r**(5/4))**(-3) assuming r is positive. r**(-123/4) Simplify (r*r**(-1)*r/(r*(r**8*r)/r))/(r**0)**(-27) assuming r is positive. r**(-8) Simplify (g/(g*g/(g/(g/(g/(g/(g*g/g**(3/8)))))*g))*g*g**(-5))**22 assuming g is positive. g**(-209/4) Simplify ((k**(1/2))**(-4/25))**(-1/4) assuming k is positive. k**(1/50) Simplify j/(j*j**(-3))*j**9*j*(j**(-1))**(-26) assuming j is positive. j**39 Simplify h**(-15)/h**(-8) assuming h is positive. h**(-7) Simplify f**6/(f/(f**(2/11)*f)) assuming f is positive. f**(68/11) Simplify (f*(f*f**(2/41)*f*f)/f*f**(-15))**2 assuming f is positive. f**(-980/41) Simplify ((h*h**(-2/13)/h)/((h**(-11)/h*h)/h))**(-1/3) assuming h is positive. h**(-154/39) Simplify d**(-8)*d/(d*d**(1/11)/d) assuming d is positive. d**(-78/11) Simplify ((k/(k*k/k**(-2/33)))/(k**6*k))**(6/19) assuming k is positive. k**(-28/11) Simplify x**19/(x**(-27)/x) assuming x is positive. x**47 Simplify (z**(1/8)/z)/z**(8/7)*z*z/z**(-2/17)*z*z/(z*z*(z**(-2)*z*z)/z) assuming z is positive. z**(1047/952) Simplify x**(-19)/(x/x**(-1/3)) assuming x is positive. x**(-61/3) Simplify (o**(-2/3)*o)**(-3/10)*o**(-3)*o/(o**(6/11)/o) assuming o is positive. o**(-181/110) Simplify (l**(4/3))**33 assuming l is positive. l**44 Simplify (h**(1/6)/h)/(h*(h*h**31*h)/h) assuming h is positive. h**(-203/6) Simplify ((o*o**1)/(o/(o*o/(o**(-1)/o))))/(o*o/(o**(1/4)/o)*o*o**(3/4)) assuming o is positive. sqrt(o) Simplify (u**(-3/10)/u**2)/(u**(-2/9)*u)**25 assuming u is positive. u**(-1957/90) Simplify ((f/f**(-2/13))/f*f*f**(-3/13))**(-14) assuming f is positive. f**(-168/13) Simplify (g*g*g**7*g**(-1)/g*g)/(g**2)**(-48) assuming g is positive. g**104 Simplify ((i/(i/((i/(i**(-1/2)/i))/i)))/((i*i/i**4*i)/i))**19 assuming i is positive. i**(133/2) Simplify (f/f**(-2)*f**(-3/8))/((f**(-1)/f)/f**(-1/5)) assuming f is positive. f**(177/40) Simplify f/(f/(f/f**18)*f)*f/f**(-12) assuming f is positive. f**(-5) Simplify j**(-1/6)/(j**(3/7)/j)*(j**0)**22 assuming j is positive. j**(17/42) Simplify ((m**(-1)*m)**45)**35 assuming m is positive. 1 Simplify ((q*q**(4/3))/q*((q/q**15*q)/q)/q)**47 assuming q is positive. q**(-1927/3) Simplify f**(-7/5)/f**(1/12) assuming f is positive. f**(-89/60) Simplify (i**(3/37)/i)/((i/(i/(i**(5/6)*i)))/i) assuming i is positive. i**(-389/222) Simplify n**(-13)*n*n*n**4/n assuming n is positive. n**(-8) Simplify (z**2*z*z**(-1/2))/(z/(z/(z/z**0)))**(-3) assuming z is positive. z**(11/2) Simplify ((t**(1/2))**(-4/29))**(-15) assuming t is positive. t**(30/29) Simplify ((v/(v**1*v))/((v/v**(1/9)*v)/v))**43 assuming v is positive. v**(-731/9) Simplify i/i**(-5)*i**(-4/7)*i*i/i**(-6)*i**(-7) assuming i is positive. i**(45/7) Simplify (v**(-1/3)/((v**(4/5)/v)/v))**(-35) assuming v is positive. v**(-91/3) Simplify (n**(1/2))**(-1/8)*(n/n**1*n*n)/n**(2/9) assuming n is positive. n**(247/144) Simplify ((h*h**(-7))/(h/(h/(h*h*h/(h*h*h*h**(5/2))*h*h))))/(h**(-7)*h*h**(2/5)) assuming h is positive. h**(1/10) Simplify (((w*w**(-4))/w)/((w*(w/w**(-5/2))/w)/w))/(w/(w/w**(-2/3))*w**8) assuming w is positive. w**(-83/6) Simplify ((g*g*g*g*g**4)**8)**(-25/2) assuming g is positive. g**(-800) Simplify ((a**(-11)*a)/a)**(-28) assuming a is positive. a**308 Simplify h**(34/5)/(h**(-28)/h) assuming h is positive. h**(179/5) Simplify ((j/j**2*j)/j**5)**(-36) assuming j is positive. j**180 Simplify (s/s**(-2/7)*s*s**(-5/6))/(s**(-5)/((s**(-6)*s)/s)) assuming s is positive. s**(19/42) Simplify (x*x*(x/x**(-2/5))/x)**(-4)/(x**(2/3))**(-41) assuming x is positive. x**(266/15) Simplify v*v**(-1/2)*v/v**(-2/27)*(v**(-5)/v)/v**(-1/8) assuming v is positive. v**(-929/216) Simplify (z**3)**(1/8)*(z**(1/2))**(-8) assuming z is positive. z**(-29/8) Simplify (d**(-15/2)*d/(d*d/d**(-1/6)))**(4/3) assuming d is positive. d**(-104/9) Simplify s*s/s**(1/9)*s*s/(s**(-1/12)/s) assuming s is positive. s**(179/36) Simplify ((v**(-3/7)*v)**35)**(6/13) assuming v is positive. v**(120/13) Simplify (g/(g**8*g)*g**(-2/7)/g)/(g*g*g**4*g*g**(-2)) assuming g is positive. g**(-100/7) Simplify (j*j/(j**(1/2)/j))/(j/j**(1/7))*j**(4/9)*j*j**(-1) assuming j is positive. j**(263/126) Simplify p**4*p**2*p*p/(p*p*p/(p*p/(p/(p*p**(-3/4)*p))))*p/p**(5/2) assuming p is positive. p**(23/4) Simplify (w/w**18)/w*w*w**1*w assuming w is positive. w**(-15) Simplify (w**(-1))**30/(w*w/(w/((w**(3/2)*w*w)/w))*w*w/(w/w**(-2/11)*w*w)) assuming w is positive. w**(-711/22) Simplify ((s**(-1/3)/s)/s)**(-2/101) assuming s is positive. s**(14/303) Simplify (x**34/x*x)/x*x*x/(x*x/x**(-8/9))*x assuming x is positive. x**(298/9) Simplify (h/h**(-1)*(h*(h/h**(-3/4)*h)/h)/h)**(-1) assuming h is positive. h**(-15/4) Simplify ((b*b*b**(2/7)/b*b*b*b*b)**(-17))**(1/8) assuming b is positive. b**(-629/56) Simplify k/k**8*k**(-17) assuming k is positive. k**(-24) Simplify (y*y/(y*y**(-3/10)))/(y*y*(y/(y**(-3/4)/y)*y)/y) assuming y is positive. y**(-69/20) Simplify (y*y*y**6*y)**(-8/5) assuming y is positive. y**(-72/5) Simplify ((j*j**(-5/4)*j*j)/(j**(2/7)/j))/(j**8/(j*j**(2/21))) assuming j is positive. j**(-373/84) Simplify k**(-1/5)/(k*k/k**(-2/11))*(k**(-1))**(-5/7) assuming k is positive. k**(-642/385) Simplify (k**(-6/7))**(-1/18) assuming k is positive. k**(1/21) Simplify (c*c**(16/5)*c*c**(2/21))**(-40) assuming c is positive. c**(-4448/21) Simplify (a*a/(a**1*a*a)*a)/a*a**(-8)/a*a**7/a**(-7) assuming a is positive. a**4 Simplify (y**(-2/19)*y**3)**(-23) assuming y is positive. y**(-1265/19) Simplify (l*l*l/((l**2/l)/l)*l*l*l**(-5/4)*l)**(-4) assuming l is positive. l**(-19) Simplify (n**2)**28*n**(4/7)*n/(n*n**(-4/5)) assuming n is positive. n**(2008/35) Simplify c**(-5/11)*c**(-6/19)*c assuming c is positive. c**(48/209) Simplify (g**(-2/5)*g/g**4)**(-35) assuming g is positive. g**119 Simplify x/x**(-1)*x**(-2/45) assuming x is positive. x**(88/45) Simplify q**(-2/13)*q**3*(q*q**(-1)*q)/(q/(q*q*q/q**(-7)*q*q*q)) assuming q is positive. q**(206/13) Simplify g**37*g*g**(-5/6) assuming g is positive. g**(223/6) Simplify (a*a**(4/19)/a*a)/(a/((a/(a/a**(-6/19))*a*a)/a*a)) assuming a is positive. a**(36/19) Simplify ((q/(q*q/(q**1/q*q)))/q*(((((q**11/q*q)/q)/q*q)/q)/q)/q)**(1/20) assuming q is positive. q**(3/10) Simplify (((s**0/s)/s)**(-13/2))**(8/7) assuming s is positive. s**(104/7) Simplify (v**(-25)/v)**(1/10) assuming v is positive. v**(-13/5) Simplify r*r**(3/2)/r*r*r/((r/(r*r**(-1)))/r) assuming r is positive. r**(7/2) Simplify (l**(4/9)/l*l*l*l*l*l*l)/l*l/l**(-5)*(l**1)**(-3) assuming l is positive. l**(67/9) Simplify x**(1/2)*(x**(-17)/x)/x assuming x is positive. x**(-37/2) Simplify ((l**(-1/2)/l)/l**(-12))**30 assuming l is positive. l**315 Simplify (a**(-23)/a)/((((a/(a/(a*a**22)))/a)/a*a*a)/a) assuming a is positive. a**(-46) Simplify (y**(-2/11))**(-20) assuming y is positive. y**(40/11) Simplify ((o/((o/(((o**0/o)/o)/o))/o))/(o*o**5))/((o/o**(1/7))/(o*o**(3/2)*o)) assuming o is positive. o**(-75/14) Simplify (k*k**(-7))/k*k*((k/(k*k*k*k/(k**(-1/6)/k)))/k)/k*k**(-3)*k**0 assuming k is positive. k**(-91/6) Simplify (i*i*i**(-2/19)/i*i*i*i**(-9))/(i**(-7)*i/(i**0/i*i)) assuming i is positive. i**(-2/19) Simplify u/((u/(((u/(u*u**(1/4)/u)*u)/u)/u))/u*u)*u*u/(u*u**(2/5)*u)*u**(-1/12)/(u/(u/(u*u*u*u**(-1/10)*u))) assuming u is positive. u**(-139/30) Simplify (l**(-2/7))**(2/87) assuming l is positive. l**(-4/609) Simplify g**(-1/4)*g**13 assuming g is positive. g**(51/4) Simplify (q**(-4/13)*q)/q*q**(2/3) assuming q is positive. q**(14/39) Simplify (v*v/v**(-2/13))**(-16) assuming v is positive. v**(-448/13) Simplify (q**4/(q**(-10)/q))/(q*q*(q**2*q)/q*q*q)**(-9/5) assuming q is positive. q**(129/5) Simplif
{ "pile_set_name": "DM Mathematics" }
418 - 418 + 4*n**2. 4*n**2 Collect the terms in v + 4*v - v + 2*v. 6*v Collect the terms in 0 + 0 - 34*c + 50*c - 10*c. 6*c Collect the terms in 45*f - 144*f + 44*f + 46*f. -9*f Collect the terms in 13*t - 33*t + 18*t. -2*t Collect the terms in -315*v - 5 + 5. -315*v Collect the terms in -434*z - 14*z**3 + 434*z. -14*z**3 Collect the terms in -721*v + 362*v + 357*v. -2*v Collect the terms in -101*h**3 - 18*h + 10*h + 8*h. -101*h**3 Collect the terms in 512*p + 568*p + 320*p. 1400*p Collect the terms in -18*j**3 + 13*j**3 + 44*j**2 - 44*j**2. -5*j**3 Collect the terms in 1 + 3*k - 1 + 5*k. 8*k Collect the terms in -5*x**2 - 5*x**2 + 35*x**2. 25*x**2 Collect the terms in 2*h**3 + 0*h**3 - 11*h**3 - 6*h**3. -15*h**3 Collect the terms in 18*u - 34 + 34 + u**2. u**2 + 18*u Collect the terms in 7*d**3 + d**3 + 3*d**3. 11*d**3 Collect the terms in 66*q**2 - 231*q - 64*q**2 + 231*q. 2*q**2 Collect the terms in c**2 - 8*c**2 - 3 + 3. -7*c**2 Collect the terms in 0*y - 2*y + 2*y**2 + y + 9*y. 2*y**2 + 8*y Collect the terms in 2 + 48*z**3 + 46*z**3 - 2. 94*z**3 Collect the terms in 2*q - 3*q - 5*q + 2*q. -4*q Collect the terms in -126*u**2 + 55*u**2 + 69*u**2. -2*u**2 Collect the terms in 308 + 6*t**3 - 308. 6*t**3 Collect the terms in 35 - 109 - a + 35 + 39. -a Collect the terms in -8 - 3*f**2 + 3*f**2 + 8 - f**2. -f**2 Collect the terms in 16*g**3 + 9*g**3 + 8*g**3 - 36*g**3. -3*g**3 Collect the terms in 13 - 12 - 1 - 3*i**2. -3*i**2 Collect the terms in -98 - 94 - 102 - 4*g + 294. -4*g Collect the terms in 146 - 146 - 22*d**3. -22*d**3 Collect the terms in -2*t + 3 - 3 - 24*t. -26*t Collect the terms in -56 + 24 + 33 - 2*z + 3*z. z + 1 Collect the terms in 3*h**3 - 2995 + 2995. 3*h**3 Collect the terms in 23*i + 14*i + 25*i. 62*i Collect the terms in -12*p + 10*p + 11*p - 7*p. 2*p Collect the terms in -179*h + 179*h - 49*h**2. -49*h**2 Collect the terms in c - 5*c + 0*c - 17*c + 8*c. -13*c Collect the terms in -4 - 6*k - 10 + 14. -6*k Collect the terms in -51*r + 199*r - 59*r - 73*r. 16*r Collect the terms in 6 + 10 + 10*b - 16. 10*b Collect the terms in -z + 90 + 80 + 88 - 258. -z Collect the terms in 75*p**3 + 69*p**3 - 152*p**3. -8*p**3 Collect the terms in -24*x**2 + 71*x**2 - 18*x**2 - 25*x**2. 4*x**2 Collect the terms in 11*l - 3 + 24*l + 3. 35*l Collect the terms in 7*b**3 + 6*b**3 - 16*b**3. -3*b**3 Collect the terms in 0 - 1 + 7 - 44*d**3. -44*d**3 + 6 Collect the terms in 9*y - 1979 + 1979. 9*y Collect the terms in -7*r**2 - 18*r**2 + 21*r**2. -4*r**2 Collect the terms in -41*w + 279 + 11*w - 279. -30*w Collect the terms in -6*i - 5 + 11*i + 4 - 9. 5*i - 10 Collect the terms in 2 + 11*t**2 - 5*t**2 - 1 + 8*t**2. 14*t**2 + 1 Collect the terms in 5 + 0*s + 2 + 12 + s. s + 19 Collect the terms in -114*o - 135*o + 183*o. -66*o Collect the terms in -1 - c + 1. -c Collect the terms in -15 - 11*x - 7 + 15. -11*x - 7 Collect the terms in 360*i**2 + 28*i**2 - 32*i**2. 356*i**2 Collect the terms in f**3 + 2701*f**2 - 2701*f**2. f**3 Collect the terms in 3 + 1 + 60*t**3 - 4 - 53*t**3. 7*t**3 Collect the terms in 17*m**2 - 41*m**2 - 53*m**2 - 33*m**2. -110*m**2 Collect the terms in -762 + 4*m + 16*m + 762. 20*m Collect the terms in 5473 - 5473 + 2*h**2. 2*h**2 Collect the terms in -a**2 + 4*a**2 - 8*a**2 - 3*a**2. -8*a**2 Collect the terms in -1 + 1 + 114*z. 114*z Collect the terms in -25*x + 52*x - 422*x**3 - 27*x. -422*x**3 Collect the terms in 40*o + 36*o + 35*o + 120*o. 231*o Collect the terms in 4*g**2 - 6488*g**3 + 6484*g**3 - 4*g**2. -4*g**3 Collect the terms in -10*x + 15*x - 5*x - 12*x. -12*x Collect the terms in -168 + 168 + 13*x**2. 13*x**2 Collect the terms in 4*v**3 + v**3 + 0*v**2 - 3*v**3 + 0*v**2. 2*v**3 Collect the terms in -6*x**3 + 20 + 22 - 42 + 9*x**3. 3*x**3 Collect the terms in -46*d**2 - 46*d**2 - 42*d**2 + 138*d**2. 4*d**2 Collect the terms in 6*t**2 - 4*t**2 - 4*t**2 + 3*t**2. t**2 Collect the terms in -22*c - 19*c + 34*c. -7*c Collect the terms in 14*m**2 - 5*m**2 - 6*m**2 - 4*m**2 - 10*m**2. -11*m**2 Collect the terms in -12*k + 17*k - 24 + 53 - 29. 5*k Collect the terms in 24*m**2 - 146*m**2 - 19*m**2. -141*m**2 Collect the terms in 0 - 6 + 4 - 49*o + 4. -49*o + 2 Collect the terms in 0*n + 380*n**3 - 406*n**3 + 0*n. -26*n**3 Collect the terms in 645355 - 3*w**3 - 645355. -3*w**3 Collect the terms in -341 + 341 - 19*k. -19*k Collect the terms in 51*l - 16*l + 48*l. 83*l Collect the terms in 2*s - 2*s - 5*s + 0*s. -5*s Collect the terms in -27109252*o**2 + 27109252*o**2 + 4*o**3. 4*o**3 Collect the terms in -491*s - 271*s + 211*s. -551*s Collect the terms in 52*a - 28*a - 21*a. 3*a Collect the terms in -153*q - 141*q + 293*q. -q Collect the terms in -82*j**2 - 86*j**2 + 171*j**2. 3*j**2 Collect the terms in 4*x**3 + x**3 - x**3 + 2*x**3. 6*x**3 Collect the terms in 20*r**3 - 12*r**3 - 4*r**3. 4*r**3 Collect the terms in -25*g**3 + 29*g**3 + 8*g**3. 12*g**3 Collect the terms in -48*g**2 + 27*g**2 + 7*g**3 + 21*g**2. 7*g**3 Collect the terms in -7 + 11*n - 9*n - 9*n. -7*n - 7 Collect the terms in -60*r**3 - 3*r + 3*r + 55*r**3. -5*r**3 Collect the terms in -29 - w + 7 + 12. -w - 10 Collect the terms in 130*l**2 + 26 - 12 - 14. 130*l**2 Collect the terms in -1 + 307804*p - 307804*p - 8*p**2 + 1. -8*p**2 Collect the terms in -11*l**3 - 19*l**3 + 45*l**3. 15*l**3 Collect the terms in 819*l - 408*l - 411*l - 37 + l**2. l**2 - 37 Collect the terms in -28*i**2 + 31*i**2 - 4*i**2. -i**2 Collect the terms in -19*s**3 + 29*s - 29*s. -19*s**3 Collect the terms in -f**3 - 5*f**3 + 7*f**3. f**3 Collect the terms in 8*m**3 - 24*m**3 + 26*m**3. 10*m**3 Collect the terms in 3*z**2 + 57*z - 4*z**2 + 14*z. -z**2 + 71*z Collect the terms in 34*q - 11*q**3 - 34*q. -11*q**3 Collect the terms in 11 - 57*o + 62*o - 4. 5*o + 7 Collect the terms in 3*q**2 - 39 + 116 - 39 - 38. 3*q**2 Collect the terms in 5*l**2 - 339*l**2 - 517*l**2. -851*l**2 Collect the terms in 0 + 284*u - 569*u + 0 + 286*u. u Collect the terms in -6 + 13 - 64*g - 5. -64*g + 2 Collect the terms in -2*p**3 + 325 - 166 - 159. -2*p**3 Collect the terms in -13*q**3 + 17*q**3 - 2*q**3. 2*q**3 Collect the terms in 2*z - 163243 + 163243 - 11*z. -9*z Collect the terms in 62*c**2 + 19 - 19. 62*c**2 Collect the terms in 122*k + 117*k + 102*k - 343*k. -2*k Collect the terms in -11*k**3 + 45*k**3 - 16*k**3. 18*k**3 Collect the terms in v + 9*v + 2*v - 8 + 2. 12*v - 6 Collect the terms in 2*n + 0*n - 2*n - 184*n**3. -184*n**3 Collect the terms in 2058 + t - 1029 - 1029 - 5*t. -4*t Collect the terms in -52 - 56 + 108 + 23*l. 23*l Collect the terms in -813877*y - y**2 + 813877*y. -y**2 Collect the terms in -8*r**2 - 17*r**2 + 10*r**2. -15*r**2 Collect the terms in -2*c**3 + 90 - 90. -2*c**3 Collect the terms in 15 - 6*c**3 + c**3 + 3*c**3. -2*c**3 + 15 Collect the terms in 42 - 79 + 37 - 90*d. -90*d Collect the terms in 122 + 2*i - 4*i + 3*i. i + 122 Collect the terms in -13*x**2 - 63*x + 63*x - 3*x**2. -16*x**2 Collect the terms in 21988 + c - 21988. c Collect the terms in -283*x**3 + 3*x**2 - 3*x**2 + 292*x**3. 9*x**3 Collect the terms in 14*d - 1 - 2*d + 15*d - 1. 27*d - 2 Collect the terms in 77 - 40 - 38 - 2*q. -2*q - 1 Collect the terms in 5*p**2 - 2*p + p**2 + 2*p. 6*p**2 Collect the terms in 13*i + 9*i - 20*i. 2*i Collect the terms in 14*n**2 - 7*n**2 + 23*n**2 + 0*n**2. 30*n**2 Collect the terms in 231*n + 182*n - 413*n - 2*n**3. -2*n**3 Collect the terms in 24*a**3 + 0*a + 0*a - 13*a**3. 11*a**3 Collect the terms in -59 + 4*c + 59. 4*c Collect the terms in -o + 62*o**3 + o**2 + o - 65*o**3. -3*o**3 + o**2 Collect the terms in 23 - 23 + 39*w**2. 39*w**2 Collect the terms in 1229*z**2 + 1230*z**2 - 2462*z**2. -3*z**2 Collect the terms in -13*k + 4*k - 8*k. -17*k Collect the terms in 94*i**3 - 3*i**3 - 20*i**3. 71*i**3 Collect the terms in 11 + g + 13 - 24. g Collect the terms in 5 - 1 - 4 + 23*u. 23*u Collect the terms in -20 + 4*b + 20 + 3*b. 7*b Collect the terms in 18*u + 6*u - 21*u. 3*u Collect the terms in k + 9161 - 9161. k Collect the terms in 19*d**2 + 17*d**2 - 32*d**2. 4*d**2 Collect the terms in -11*r**2 + 15*r**2 - 36*r - 3*r**2. r**2 - 36*r Collect the terms in 297*s - 23 + 23. 297*s Collect the terms in 18*l**3 - 20*l**3 + 18*l**3. 16*l**3 Collect the terms in 324*c**3
{ "pile_set_name": "DM Mathematics" }
800000 Round 4719000 to the nearest 100000. 4700000 Round 1271860 to the nearest ten thousand. 1270000 What is -59.29 rounded to the nearest ten? -60 What is -231600 rounded to the nearest ten thousand? -230000 What is 1.6611 rounded to 2 dps? 1.66 What is -0.0001565 rounded to 5 decimal places? -0.00016 What is -0.15 rounded to 2 dps? -0.15 Round -8.2 to the nearest 10. -10 What is -69920000 rounded to the nearest 1000000? -70000000 What is -0.018 rounded to the nearest integer? 0 Round -0.00003893 to five decimal places. -0.00004 What is -0.000006183 rounded to six dps? -0.000006 Round -0.000000105 to seven decimal places. -0.0000001 Round -0.0001919 to four decimal places. -0.0002 Round -3854.6 to the nearest one hundred. -3900 What is 2.1741 rounded to 2 dps? 2.17 What is -5.993 rounded to one dp? -6 Round 8306000 to the nearest one hundred thousand. 8300000 What is -0.06502 rounded to 2 decimal places? -0.07 Round -0.0006217 to four dps. -0.0006 What is -0.000010771 rounded to six decimal places? -0.000011 What is 0.00005069 rounded to 6 dps? 0.000051 Round 0.000103 to 4 dps. 0.0001 Round -0.0126 to 2 dps. -0.01 Round -0.99274 to one decimal place. -1 Round -18.533 to zero decimal places. -19 Round -25910000 to the nearest one million. -26000000 What is -0.00030562 rounded to 5 dps? -0.00031 Round 2774980 to the nearest 10000. 2770000 What is -0.054769 rounded to three decimal places? -0.055 Round -0.018825 to 3 dps. -0.019 What is -7014800 rounded to the nearest one hundred thousand? -7000000 What is -0.4551 rounded to one dp? -0.5 Round 141.5 to the nearest ten. 140 What is -28700 rounded to the nearest one thousand? -29000 Round -16865000 to the nearest one million. -17000000 What is 0.00006548 rounded to five decimal places? 0.00007 What is 0.71992 rounded to 1 decimal place? 0.7 Round -0.017007 to four decimal places. -0.017 Round 5310 to the nearest 1000. 5000 What is -272500 rounded to the nearest ten thousand? -270000 Round -73.088 to the nearest ten. -70 What is 0.0012977 rounded to 4 dps? 0.0013 What is -8845.2 rounded to the nearest one hundred? -8800 What is -0.000028666 rounded to five dps? -0.00003 Round -29890000 to the nearest one million. -30000000 What is 120.19 rounded to the nearest integer? 120 What is -143.4 rounded to the nearest 10? -140 What is 0.002302 rounded to four dps? 0.0023 What is 0.0000003713 rounded to seven dps? 0.0000004 Round 989000 to the nearest 100000. 1000000 What is 19041000 rounded to the nearest one million? 19000000 What is -87100 rounded to the nearest 10000? -90000 Round -132800 to the nearest 1000. -133000 Round -0.00068 to five decimal places. -0.00068 What is 37.41 rounded to the nearest integer? 37 What is 207736 rounded to the nearest 10000? 210000 Round 130698000 to the nearest one million. 131000000 What is 2.9746 rounded to two decimal places? 2.97 What is 0.00004585 rounded to six dps? 0.000046 What is -7607200 rounded to the nearest one hundred thousand? -7600000 Round 0.0000109679 to 7 decimal places. 0.000011 What is 21725000 rounded to the nearest one hundred thousand? 21700000 What is 0.04386 rounded to three decimal places? 0.044 Round -1498000 to the nearest 1000000. -1000000 What is 14858 rounded to the nearest ten thousand? 10000 What is 0.808 rounded to the nearest integer? 1 Round -0.000033269 to six dps. -0.000033 What is 424900 rounded to the nearest 10000? 420000 What is -0.00005042 rounded to six decimal places? -0.00005 What is 8510000 rounded to the nearest one million? 9000000 Round 755400 to the nearest 100000. 800000 What is 10339000 rounded to the nearest one hundred thousand? 10300000 What is -221850 rounded to the nearest one hundred thousand? -200000 What is 0.000516 rounded to five dps? 0.00052 What is 0.00791 rounded to three decimal places? 0.008 What is -0.000002651 rounded to 6 dps? -0.000003 Round 0.05847 to 2 dps. 0.06 What is -3.52 rounded to 0 decimal places? -4 What is -2.1244 rounded to 2 dps? -2.12 What is -0.2839 rounded to three decimal places? -0.284 What is 0.0997 rounded to one decimal place? 0.1 Round 615710000 to the nearest 1000000. 616000000 Round 2518.7 to the nearest 10. 2520 Round -0.000005449 to six decimal places. -0.000005 What is 0.0042449 rounded to 3 decimal places? 0.004 What is -0.0000025465 rounded to 7 decimal places? -0.0000025 Round 1.1728 to 1 dp. 1.2 What is 0.00000034 rounded to seven dps? 0.0000003 What is 0.000039009 rounded to 5 decimal places? 0.00004 Round 145332 to the nearest one thousand. 145000 What is 3092.57 rounded to the nearest one hundred? 3100 Round 483300 to the nearest ten thousand. 480000 Round -0.4258 to 1 dp. -0.4 What is -0.01479 rounded to three dps? -0.015 What is -219100 rounded to the nearest 10000? -220000 What is -431.57 rounded to the nearest ten? -430 Round -0.0000001603 to 7 dps. -0.0000002 Round -12031 to the nearest 1000. -12000 Round 0.00014557 to six dps. 0.000146 What is -188300 rounded to the nearest ten thousand? -190000 What is 314.05 rounded to the nearest integer? 314 What is -1070000 rounded to the nearest 1000000? -1000000 What is 0.000000345 rounded to seven decimal places? 0.0000003 What is 0.25991 rounded to three dps? 0.26 Round -0.00403537 to 5 dps. -0.00404 Round 3.133 to the nearest ten. 0 Round -290000 to the nearest one hundred thousand. -300000 What is 0.0000003747 rounded to 7 dps? 0.0000004 Round -0.89114 to one dp. -0.9 Round -0.00001912 to 6 decimal places. -0.000019 What is 215.4 rounded to the nearest ten? 220 What is 0.00000081 rounded to six dps? 0.000001 What is -0.4976 rounded to 1 dp? -0.5 Round 0.0006826 to 5 dps. 0.00068 What is -0.7917 rounded to one dp? -0.8 What is 0.004752 rounded to three decimal places? 0.005 Round -1.716 to 1 decimal place. -1.7 What is 0.26322 rounded to two decimal places? 0.26 What is -42.812 rounded to the nearest one hundred? 0 What is -0.03586 rounded to two decimal places? -0.04 Round 24.72 to the nearest 10. 20 What is 72.5 rounded to the nearest 10? 70 Round 0.12831 to two dps. 0.13 What is 10630 rounded to the nearest one thousand? 11000 Round 0.82409 to 2 dps. 0.82 What is -1394000 rounded to the nearest ten thousand? -1390000 What is 556300 rounded to the nearest 100000? 600000 What is 0.38844 rounded to 2 dps? 0.39 What is -0.739 rounded to one decimal place? -0.7 What is -27.46 rounded to the nearest 10? -30 Round 0.000057 to 5 decimal places. 0.00006 What is 56420 rounded to the nearest one thousand? 56000 Round 0.000184466 to six dps. 0.000184 What is 12.37 rounded to 0 dps? 12 Round -1086400 to the nearest 10000. -1090000 What is -0.010278 rounded to 3 decimal places? -0.01 What is 0.0005192 rounded to 6 dps? 0.000519 What is -25703000 rounded to the nearest one hundred thousand? -25700000 Round -2690 to the nearest ten thousand. 0 Round -0.8314 to two decimal places. -0.83 Round 9184 to the nearest 1000. 9000 What is -0.0000134 rounded to 5 decimal places? -0.00001 What is -0.0392 rounded to three decimal places? -0.039 Round -238327 to the nearest one thousand. -238000 Round 0.329531 to three decimal places. 0.33 Round 0.0000805 to six decimal places. 0.000081 Round -0.000000090384 to 7 decimal places. -0.0000001 Round -56561 to the nearest 1000. -57000 What is 0.0006076 rounded to four dps? 0.0006 What is 7136 rounded to the nearest 100? 7100 What is -0.0020808 rounded to 4 decimal places? -0.0021 Round 0.00002077 to six decimal places. 0.000021 Round 383280 to the nearest ten thousand. 380000 Round 4.698 to one decimal place. 4.7 What is -7.15 rounded to the nearest integer? -7 What is -5.748 rounded to 1 decimal place? -5.7 Round 8.61 to 0 dps. 9 What is 4544.39 rounded to the nearest 100? 4500 Round -164800 to the nearest ten thousand. -160000 What is -0.0000020132 rounded to seven dps? -0.000002 Round -8.12 to 1 dp. -8.1 Round -0.000015452 to six dps. -0.000015 Round -2.952 to 2 dps. -2.95 Round 3424800 to the nearest 100000. 3400000 Round 1332000 to the nearest 100000. 1300000 Round -1502770 to the nearest 100000. -1500000 What is -13.59 rounded to 1 dp? -13.6 Round -0.10964 to 3 decimal places. -0.11 What is -0.35505 rounded to two decimal places? -0.36 Round -50732 to the nearest one hundred. -50700 R
{ "pile_set_name": "DM Mathematics" }
i + 2)*(i + 4)/11 Suppose 3*b**2/2 - 14883*b + 73834563/2 = 0. What is b? 4961 Determine o, given that -2*o**4/7 + 4*o**3/7 = 0. 0, 2 Find s, given that 4*s**5/5 - 16*s**4/5 - 48*s**3/5 - 8*s**2/5 + 44*s/5 + 24/5 = 0. -1, 1, 6 Factor a**4 + 31*a**3 + 105*a**2 - 2147*a + 3610. (a - 5)*(a - 2)*(a + 19)**2 What is n in 4*n**4 - 24*n**3 - 736*n**2 + 1536*n = 0? -12, 0, 2, 16 Let -2*z**3/7 + 6620*z**2/7 - 5478050*z/7 = 0. Calculate z. 0, 1655 Factor -p**4/8 + p**3/8 + 3*p**2/4. -p**2*(p - 3)*(p + 2)/8 Factor 4*o**4 + 84*o**3 + 456*o**2 - 80*o - 2400. 4*(o - 2)*(o + 3)*(o + 10)**2 Find z such that -4*z**3/5 + 12*z**2 + 736*z/5 = 0. -8, 0, 23 Determine x so that -98*x**3 + 16212*x**2 + 9288*x + 1328 = 0. -2/7, 166 Let -5*m**4 - 190*m**3 - 1385*m**2 + 7980*m - 8820 = 0. Calculate m. -21, 2 Determine n so that -3*n**3 + 48*n**2 - 189*n = 0. 0, 7, 9 Determine s, given that -5*s**4 - 120*s**3 - 830*s**2 - 1320*s - 605 = 0. -11, -1 Determine u, given that -u**4/3 + 10*u**3/3 + 5*u**2 - 40*u/3 - 44/3 = 0. -2, -1, 2, 11 Suppose -4*y**3 + 28*y**2 - 44*y + 20 = 0. What is y? 1, 5 Determine j so that -2*j**3 - 204*j**2 = 0. -102, 0 Determine f, given that -f**3/3 + 1457*f**2/3 - 176661*f - 177147 = 0. -1, 729 Find p such that 4*p**2 - 1152*p - 2320 = 0. -2, 290 Determine g, given that g**5/3 - 10*g**4/3 + 17*g**3/3 - 8*g**2/3 = 0. 0, 1, 8 Factor d**4/8 - 5*d**3/4 + 9*d**2/2 - 7*d + 4. (d - 4)*(d - 2)**3/8 Factor 3*p**3 + 3*p**2 - 48*p + 60. 3*(p - 2)**2*(p + 5) What is z in 5*z**5 - 6660*z**4 + 2211100*z**3 + 4455550*z**2 - 2211105*z - 4448890 = 0? -2, -1, 1, 667 Solve 5*h**3 + 145*h**2 - 640*h + 660 = 0 for h. -33, 2 Let -81*j**3/5 - 3*j**2 = 0. Calculate j. -5/27, 0 Determine l so that 3*l**5 - 30*l**4 - 9*l**3 + 420*l**2 + 588*l = 0. -2, 0, 7 Let 2*i**4/5 + 2*i**3 - 66*i**2/5 + 54*i/5 = 0. What is i? -9, 0, 1, 3 Factor -c**2 + 8*c. -c*(c - 8) Let -18*c**3 - 104*c**2 + 510*c - 108 = 0. Calculate c. -9, 2/9, 3 What is r in -4*r**3/3 + 200*r**2 - 10000*r + 500000/3 = 0? 50 Find r such that -r**2/8 - 17*r/2 = 0. -68, 0 Let -3*c**4 - 33*c**3 + 36*c**2 = 0. Calculate c. -12, 0, 1 Let b**4 + 33*b**3/2 - 124*b**2 - 66*b = 0. What is b? -22, -1/2, 0, 6 Factor -3*d**3 - 147*d**2 - 1725*d + 1875. -3*(d - 1)*(d + 25)**2 Find m such that -m**5/3 + 4*m**4/3 - m**3 = 0. 0, 1, 3 Suppose -3*v**5 + 93*v**4 + 117*v**3 - 633*v**2 - 1230*v - 576 = 0. What is v? -2, -1, 3, 32 Factor 10*i**3 + 65*i**2 + 25*i - 30. 5*(i + 1)*(i + 6)*(2*i - 1) Factor 4*q**2 - 3820*q + 7624. 4*(q - 953)*(q - 2) Factor -b**3/2 + 27*b**2/2 + 57*b/2 + 29/2. -(b - 29)*(b + 1)**2/2 Determine z, given that 4*z**5 - 92*z**4 - 1636*z**3 + 26012*z**2 + 280416*z - 304704 = 0. -12, 1, 23 Find l, given that -l**2/5 + 9*l/5 + 22/5 = 0. -2, 11 Factor -3*x**4 + 528*x**3 + 1602*x**2 + 1608*x + 537. -3*(x - 179)*(x + 1)**3 Let -3*y**4 + 12*y**2 = 0. Calculate y. -2, 0, 2 Factor -k**2/7 + 6*k - 63. -(k - 21)**2/7 Determine j so that -4*j**5/3 - 20*j**4 - 152*j**3/3 - 32*j**2 = 0. -12, -2, -1, 0 Find c, given that 5*c**3 - 130*c**2 + 325*c + 460 = 0. -1, 4, 23 Let -30*v**3 - 579*v**2 + 1089*v + 378 = 0. What is v? -21, -3/10, 2 Factor -2*q**5 + 47*q**4/3 - 35*q**3/3. -q**3*(q - 7)*(6*q - 5)/3 Factor -s**4 + 5*s**3 + 6*s**2. -s**2*(s - 6)*(s + 1) Factor -2*d**2 + 52*d - 330. -2*(d - 15)*(d - 11) Factor 3*k**5/2 - 15*k**4/2 - 63*k**3/2 - 69*k**2/2 - 12*k. 3*k*(k - 8)*(k + 1)**3/2 Solve u**5 + 4*u**4/3 - 7*u**3/3 - 4*u**2/3 + 4*u/3 = 0 for u. -2, -1, 0, 2/3, 1 Factor 5*v**2 + 680*v + 23120. 5*(v + 68)**2 Factor 2*s**2 - 400*s - 808. 2*(s - 202)*(s + 2) Solve 3*b**2 + 1074*b + 96123 = 0 for b. -179 Factor -l**3 + 170*l**2 - 7708*l + 40344. -(l - 82)**2*(l - 6) Factor 49*z**2 + 2576*z + 33856. (7*z + 184)**2 Determine r, given that -2*r**2 - 376*r - 1472 = 0. -184, -4 Factor 11*l**2/2 - 661*l/6 + 10/3. (l - 20)*(33*l - 1)/6 Factor -2*o**2 - 32*o - 30. -2*(o + 1)*(o + 15) Determine u so that -13924*u**2 + 944*u - 16 = 0. 2/59 Factor 9*t**4/2 + 213*t**3 + 278*t**2 + 92*t. t*(t + 46)*(3*t + 2)**2/2 Factor 729*s**3/4 + 1701*s**2 + 5292*s + 5488. (9*s + 28)**3/4 Let 3*l**2 + 108*l + 105 = 0. What is l? -35, -1 Find l, given that 28*l**3 + 8*l**2 = 0. -2/7, 0 Factor -3*b**4/2 + 9*b**3 - 39*b**2/2 + 18*b - 6. -3*(b - 2)**2*(b - 1)**2/2 Factor -2*v**5/5 + 4*v**4/5 - 2*v**3/5. -2*v**3*(v - 1)**2/5 Factor -4*k**2 - 120*k + 864. -4*(k - 6)*(k + 36) Suppose -21*z**3 + 447*z**2 - 1806*z + 480 = 0. Calculate z. 2/7, 5, 16 Factor -5*a**3 + 1435*a**2 - 103675*a + 102245. -5*(a - 143)**2*(a - 1) Factor -12*i**3 - 128*i**2 - 276*i - 160. -4*(i + 1)*(i + 8)*(3*i + 5) Factor -h**4/2 + h**3 + 15*h**2/2 - 16*h + 8. -(h - 4)*(h - 1)**2*(h + 4)/2 Solve 4*x**2 + 2458*x + 1228 = 0 for x. -614, -1/2 Suppose -4*u**5/3 + 25*u**4/3 - 38*u**3/3 + 8*u**2/3 = 0. What is u? 0, 1/4, 2, 4 Factor -5*u**3 + 230*u**2 + 3985*u - 8850. -5*(u - 59)*(u - 2)*(u + 15) Suppose -2*h**2 - 26*h = 0. Calculate h. -13, 0 Determine a so that 4*a**3/3 - 18*a**2/5 - 98*a/15 - 8/5 = 0. -1, -3/10, 4 Let 5*f**5 + 7330*f**4 + 3586800*f**3 + 588215680*f**2 + 1162142720*f = 0. What is f? -488, -2, 0 Factor -o**5 - 92*o**4 - 516*o**3. -o**3*(o + 6)*(o + 86) Factor -2*p**5 + 6*p**4 + 30*p**3 + 34*p**2 + 12*p. -2*p*(p - 6)*(p + 1)**3 Factor 4*n**2 - 424*n + 11236. 4*(n - 53)**2 Factor -m**2/5 - 1408*m/5 - 495616/5. -(m + 704)**2/5 Factor -w**3/4 - 13*w**2/4 - 13*w - 15. -(w + 2)*(w + 5)*(w + 6)/4 Suppose 4*f**2 - 28*f + 24 = 0. Calculate f. 1, 6 Factor -j**2/2 - 663*j/2 - 331. -(j + 1)*(j + 662)/2 Factor 5*v**3 - 110*v**2 - 75*v + 9000. 5*(v - 15)**2*(v + 8) Factor -2*m**3 - 336*m**2 - 14112*m. -2*m*(m + 84)**2 Suppose 23*m**5 - 28*m**4 - 69*m**3 + 130*m**2 - 56*m = 0. What is m? -2, 0, 1, 28/23 Factor -w**2 - 99*w. -w*(w + 99) Determine i, given that 4*i**2 + 312*i + 6084 = 0. -39 Factor s**5/2 + 1023*s**4/2 + 196096*s**3 + 33357824*s**2 + 2113929216*s - 2147483648. (s - 1)*(s + 256)**4/2 Find p such that -4*p**3 + 120*p**2 - 432*p - 7776 = 0. -6, 18 Determine o so that -5*o**3 - 35*o**2 - 30*o = 0. -6, -1, 0 Factor 2*k**5/3 + 56*k**4/3 + 392*k**3/3. 2*k**3*(k + 14)**2/3 Factor 3*p**2 + 18*p + 27. 3*(p + 3)**2 Solve 270*o**5 + 405*o**4 - 3465*o**3/2 - 17825*o**2/4 - 14125*o/4 - 1875/2 = 0 for o. -2, -5/6, 3 Find l, given that -l**3/9 + 19*l**2/9 - 50*l/9 + 32/9 = 0. 1, 2, 16 Let -3*v**3/4 - 15*v**2/4 + 3*v + 15 = 0. What is v? -5, -2, 2 Let -3*g**4/4 + 417*g**3/4 - 819*g**2/4 - 417*g/4 + 411/2 = 0. What is g? -1, 1, 2, 137 What is d in 4*d**4 - 112*d**3 + 1048*d**2 - 3696*d + 4356 = 0? 3, 11 Factor -p**5 - 29*p**4 - 150*p**3 - 284*p**2 - 184*p. -p*(p + 2)**3*(p + 23) Factor -4*s**2 + 8*s. -4*s*(s - 2) Factor v**3 + 41*v**2 + 310*v. v*(v + 10)*(v + 31) Factor 4*w**3 + 208*w**2 - 880*w + 896. 4*(w - 2)**2*(w + 56) Solve -4*h**2/5 - 736*h - 169280 = 0 for h. -460 Factor -3*l**3 - 837*l**2 - 77841*l - 2413071. -3*(l + 93)**3 Solve -2523*o**2 + 2088*o - 432 = 0 for o. 12/29 Factor -5*q**2 + 205*q + 3180. -5*(q - 53)*(q + 12) Factor 2*f**2/3 + 22*f/3. 2*f*(f + 11)/3 Factor 3*w**2/5 + 267*w/5 + 2772/5. 3*(w + 12)*(w + 77)/5 Let 2*l**2/7 - 384*l/7 + 520 = 0. What is l? 10, 182 Factor f**2 - 18*f - 63. (f - 21)*(f + 3) Suppose -4*l**5/3 - 7*l**4/3 + 2*l**3 + 7*l**2/3 - 2*l/3 = 0. What is l? -2, -1, 0, 1/4, 1 Solve 4*j**5/13 - 10*j**4/13 - 12*j**3/13 + 34*j**2/13 + 8*j/13 - 24/13 = 0. -3/2, -1, 1, 2 Factor -3*h**2/8 - 663*h/4 - 146523/8. -3*(h + 221)**2/8 Solve -25*f**5 + 205*f**4 - 274*f**3 - 324*f**2 - 72*f = 0. -2/5, 0, 3, 6 Determine j so that 5*j**3 - 140*j**2 + 545*j + 690 = 0. -1, 6, 23 Let -5*i**2 - 565*i + 570 = 0. Calculate i. -114, 1 Factor -2*q**3/9 + 8*q**2/3 - 58*q/9 - 28/3. -2*(q - 7)*(q - 6)*(q + 1)/9 Factor -b**3/5 + 6*b**2 + 99*b/5. -b*(b - 33)*(b + 3)/5 Factor -5*r**4 + 40*r**3 - 75*r**2 - 40*r + 80. -5*(r - 4)**2*(r - 1)*(r + 1) Factor -4*r**2 - 920*r - 1824. -4*(r + 2)*(r + 228) Factor -25*y**2/6 + 395*y/2 - 235/3. -5*(y - 47)*(5*y - 2)/6 Factor 4*x**2/5 + 624*x/5 - 1264/5. 4*(x - 2)*(x + 158)/5 Let 2*q**4/9 + 10*q**3/3 - 524*q**2/9 + 440*q/3 + 208 = 0. What is q? -26, -1, 6 Determine y so that -140*y**2 - 152*y - 12 = 0. -1, -3/35 Factor 5*t**4 - 120*t**3 + 220*t**2. 5*t**2*(t - 22)*(t - 2) Suppose -3*b**4 + 72*b**3 - 591*b**2 + 1890*b - 1944 = 0. Calculate b. 2, 4,
{ "pile_set_name": "DM Mathematics" }
rgrtgtgrl. 3/38 What is prob of picking 1 t and 3 k when four letters picked without replacement from ngktrtttttkkt? 7/715 Two letters picked without replacement from {b: 6}. Give prob of picking 2 b. 1 Two letters picked without replacement from xccxccx. Give prob of picking 1 x and 1 c. 4/7 Four letters picked without replacement from {b: 1, g: 3, n: 1, h: 2}. Give prob of picking 1 b, 1 n, and 2 h. 1/35 Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {j: 3, r: 2, v: 4, p: 1}. 1/15 Three letters picked without replacement from {o: 1, h: 6, k: 8}. Give prob of picking 2 h and 1 o. 3/91 Calculate prob of picking 1 j and 2 x when three letters picked without replacement from jexmxe. 1/20 Three letters picked without replacement from {u: 1, p: 6, z: 2, c: 1, o: 3}. Give prob of picking 1 u, 1 z, and 1 p. 6/143 Four letters picked without replacement from {y: 4, d: 16}. What is prob of picking 2 y and 2 d? 48/323 Two letters picked without replacement from {n: 2, v: 1, b: 2, r: 5, t: 1, x: 4}. What is prob of picking 2 x? 2/35 Two letters picked without replacement from wwwssswwwwsyysswww. Give prob of picking 2 w. 5/17 Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {v: 2, s: 3, r: 4, h: 1, f: 1}. 2/55 Calculate prob of picking 3 h and 1 x when four letters picked without replacement from {x: 5, o: 2, h: 3}. 1/42 Four letters picked without replacement from {a: 5, p: 4, z: 1, h: 8}. What is prob of picking 1 z and 3 p? 1/765 Four letters picked without replacement from {f: 9, z: 2}. What is prob of picking 4 f? 21/55 What is prob of picking 2 h and 1 c when three letters picked without replacement from {c: 3, h: 5}? 15/28 What is prob of picking 2 f and 2 n when four letters picked without replacement from fnnnnnfnnnfff? 56/143 Calculate prob of picking 1 a and 1 l when two letters picked without replacement from atkalyu. 2/21 What is prob of picking 1 j and 1 g when two letters picked without replacement from gggjggggggjjggggujgj? 7/19 Two letters picked without replacement from zqhuzrhqzzrrzrorrzr. What is prob of picking 1 u and 1 z? 2/57 Calculate prob of picking 2 z when two letters picked without replacement from mmzzpzzm. 3/14 Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, w: 5, f: 8}. 1/40 What is prob of picking 1 c and 3 d when four letters picked without replacement from {d: 9, c: 10}? 70/323 Three letters picked without replacement from {p: 9, d: 5}. What is prob of picking 3 p? 3/13 Three letters picked without replacement from ogogooooo. What is prob of picking 3 o? 5/12 Three letters picked without replacement from jiiijiyiyjtyijy. Give prob of picking 1 j and 2 i. 12/91 What is prob of picking 1 u, 1 q, 1 w, and 1 a when four letters picked without replacement from nnaaawumnwq? 1/55 Three letters picked without replacement from pexppjppepppxepe. What is prob of picking 2 p and 1 j? 9/140 What is prob of picking 1 x and 2 o when three letters picked without replacement from {o: 3, x: 1}? 3/4 Two letters picked without replacement from zzzvzvazvzzzzzaaavvv. Give prob of picking 1 z and 1 v. 6/19 Four letters picked without replacement from {j: 6, n: 2, g: 1, u: 2}. Give prob of picking 1 g, 2 u, and 1 n. 1/165 Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, a: 3, p: 2}. 3/28 Two letters picked without replacement from {e: 3, z: 1, p: 1}. What is prob of picking 1 p and 1 z? 1/10 What is prob of picking 3 v and 1 y when four letters picked without replacement from {e: 1, y: 3, v: 4}? 6/35 Three letters picked without replacement from {p: 4, s: 10}. Give prob of picking 3 p. 1/91 Calculate prob of picking 1 x and 2 d when three letters picked without replacement from dhddiddhihidihdixih. 7/323 Three letters picked without replacement from dtdnqtdgggltttg. Give prob of picking 1 g, 1 l, and 1 q. 4/455 What is prob of picking 1 d, 1 r, and 1 y when three letters picked without replacement from ydadadreaaadvdv? 1/91 Two letters picked without replacement from {w: 9, y: 5}. What is prob of picking 1 y and 1 w? 45/91 Two letters picked without replacement from dddkddddkd. Give prob of picking 1 d and 1 k. 16/45 Calculate prob of picking 2 r when two letters picked without replacement from bbbbrrbbabrrbbrbr. 15/136 Three letters picked without replacement from {r: 2, y: 9}. Give prob of picking 3 y. 28/55 Two letters picked without replacement from {a: 1, n: 3, v: 1, p: 2}. What is prob of picking 1 v and 1 p? 2/21 Three letters picked without replacement from lhhmhhmhhhlml. Give prob of picking 3 l. 1/286 Two letters picked without replacement from {h: 5, x: 9}. What is prob of picking 1 x and 1 h? 45/91 What is prob of picking 2 h and 1 a when three letters picked without replacement from hoeoaloeohleeooeolo? 1/969 What is prob of picking 1 q and 3 r when four letters picked without replacement from qcbcbrurrcgu? 1/495 Three letters picked without replacement from {g: 6, l: 2, s: 4}. What is prob of picking 2 g and 1 l? 3/22 Calculate prob of picking 1 e, 1 o, and 2 h when four letters picked without replacement from {o: 1, z: 2, l: 1, e: 4, b: 7, h: 3}. 1/255 What is prob of picking 1 v and 2 g when three letters picked without replacement from {v: 1, k: 2, g: 2}? 1/10 Three letters picked without replacement from {a: 4, r: 1, k: 3}. What is prob of picking 2 a and 1 k? 9/28 Three letters picked without replacement from nflslegen. Give prob of picking 2 l and 1 s. 1/84 Four letters picked without replacement from qqymmmqqqmmmmy. Give prob of picking 4 m. 5/143 Two letters picked without replacement from ooooooooookoo. What is prob of picking 1 k and 1 o? 2/13 What is prob of picking 1 w, 1 g, and 1 a when three letters picked without replacement from {w: 6, a: 4, o: 5, g: 4}? 32/323 Calculate prob of picking 1 a and 1 r when two letters picked without replacement from arjahrahrrujuap. 16/105 Two letters picked without replacement from ipppipaa. What is prob of picking 2 a? 1/28 Three letters picked without replacement from mljmmjlmm. Give prob of picking 2 m and 1 j. 5/21 What is prob of picking 2 g and 1 q when three letters picked without replacement from qqbbggqzqug? 4/55 Three letters picked without replacement from {x: 2, o: 1, l: 1, z: 2}. What is prob of picking 1 l and 2 x? 1/20 Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {a: 1, y: 1, z: 4, n: 2, c: 1}. 1/9 What is prob of picking 1 m, 1 v, 1 j, and 1 c when four letters picked without replacement from {j: 1, v: 1, k: 1, m: 2, x: 1, c: 1}? 2/35 Two letters picked without replacement from {q: 3, p: 6, g: 1, o: 1, w: 1}. What is prob of picking 1 w and 1 o? 1/66 What is prob of picking 2 o when two letters picked without replacement from {o: 5, g: 12, s: 1}? 10/153 Two letters picked without replacement from skbsbbbbkbbb. Give prob of picking 2 s. 1/66 Two letters picked without replacement from {j: 4, d: 3}. Give prob of picking 1 d and 1 j. 4/7 Two letters picked without replacement from {u: 2, w: 5, z: 9}. What is prob of picking 2 w? 1/12 Calculate prob of picking 1 f, 2 m, and 1 g when four letters picked without replacement from gmmgfgsssssgsoss. 1/455 Three letters picked without replacement from vvvvv. What is prob of picking 3 v? 1 What is prob of picking 1 n and 1 l when two letters picked without replacement from {l: 2, z: 3, h: 2, n: 2, u: 6}? 4/105 Calculate prob of picking 1 i, 1 m, and 1 o when three letters picked without replacement from rmoigwg. 1/35 Two letters picked without replacement from yyoux. What is prob of picking 2 y? 1/10 Two letters picked without replacement from pqppqpppqppp. What is prob of picking 1 q and 1 p? 9/22 What is prob of picking 1 p and 2 j when three letters picked without replacement from {p: 6, l: 1, b: 5, j: 3, k: 3, a: 1}? 6/323 Two letters picked without replacement from {y: 1, n: 1, w: 4, c: 1, e: 1}. Give prob of picking 1 e and 1 c. 1/28 Two letters picked without replacement from tnttddttdnttttt. Give prob of picking 2 d. 1/35 Three letters picked without replacement from ccxx. Give prob of picking 1 c and 2 x. 1/2 What is prob
{ "pile_set_name": "DM Mathematics" }
+ 1. Let o be t(1). Suppose 0 = 2*j - o - 11. Suppose 0 = -3*l + j - 0. What are the prime factors of l? 2 Let u(p) = p + 3. Let n be u(0). Suppose -2 = -k, n*k - 2 = -5*y + 2*k. Suppose y*s + 4*s = -16, 5*j - 42 = -2*s. List the prime factors of j. 2, 5 Let b = -78 - -306. What are the prime factors of b? 2, 3, 19 Let q(s) = 13*s**3 - 2*s + 1. Let z be q(1). Suppose 4*o + 2*g = -0*g + z, g + 4 = 3*o. Let a = 7 - o. List the prime factors of a. 5 Suppose 2*y + 225 = 5*y. What are the prime factors of y? 3, 5 Suppose 2*q + 14 = 5*b, -7*b + 3*b - 2*q = -22. Suppose 2*s - 15 = -2*s - 5*k, s = b*k + 9. What are the prime factors of s? 5 Let h(s) be the third derivative of -s**5/60 + s**4/2 - 5*s**3/6 - 7*s**2. List the prime factors of h(9). 2, 11 What are the prime factors of 2 + -1 + 34*2? 3, 23 Let b be 2/(-4) - 66/(-12). Suppose -2*u - 80 = -b*s, 4*u + 48 = 3*s - 0*u. What are the prime factors of s? 2 Let d(k) be the first derivative of -k**4/4 + k**3/3 + 17*k + 4. List the prime factors of d(0). 17 Let b be 2/(1 - 8/10). Let v = b + -6. Suppose 3*y = v*s + 4, -3*y - 2*s = -2*y - 18. What are the prime factors of y? 2 List the prime factors of (0/2)/(-1) + 39. 3, 13 Suppose 0 = 2*d + 3*d - 5. Suppose p - 3*c = -10, 0 = p - 2*c - 0*c + 6. List the prime factors of p + -1 + 11 - d. 11 Let o(y) = -5*y - 3. What are the prime factors of o(-4)? 17 Let z(q) = -q**2 + 8*q - 3. Let x be (5/(-2))/((-2)/4). List the prime factors of z(x). 2, 3 Suppose 2*s + 0*s = 4. Suppose s*l - 180 = 6*l. List the prime factors of (-820)/l - (-2)/(-9). 2, 3 List the prime factors of (-4 - 13)/(0 + -1). 17 Let l(y) = 41*y - 2. List the prime factors of l(3). 11 Let n be 131*(3 - (-2 + 4)). Suppose -5*d + 120 = 5*v, v - 3*d = -3*v + n. List the prime factors of v. 29 Let x(h) = -5*h + 4. Let p(y) = -26*y + 21. Let w(a) = -2*p(a) + 11*x(a). List the prime factors of w(-5). 17 Let u(f) = -7*f + 5. Let r be u(4). Suppose -2*o = 2*z - 3*z - 2, -5*o = z + 37. Let w = z - r. What are the prime factors of w? 11 Let x(z) = 2*z**2 + z + 1. Let h be x(-1). Suppose h*a + 14 - 36 = 0. What are the prime factors of a? 11 Let h = 253 - 97. List the prime factors of h. 2, 3, 13 Let i = 71 + -36. List the prime factors of i. 5, 7 Let y(r) = -9*r + 40. List the prime factors of y(-12). 2, 37 Let p(q) = q + 5. Let m be p(-7). What are the prime factors of (-280)/(-24) - m/6? 2, 3 Let j(t) be the second derivative of t**7/2520 + t**6/240 - t**5/20 + t**4/12 - 4*t. Let u(n) be the third derivative of j(n). List the prime factors of u(-5). 2 Let u = -6 - -18. Let c = -4 + u. What are the prime factors of c? 2 Let i(h) = h**2 + h + 3. Let x(z) = -z**2 + 5*z - 4. Let t be x(4). Let y be i(t). Let c = 0 + y. List the prime factors of c. 3 Let u = 88 - 37. Suppose -3*n = -5*o - u, -n + 34 = n - 4*o. What are the prime factors of n? 17 Suppose -3*d + 2*x + 25 = 0, -3*d - 6*x = -4*x - 17. Let u(b) = -b**2 + 3*b + 2. Let l be u(4). Let c = d + l. What are the prime factors of c? 5 Suppose -6*m = -4*m + 4. Let a be 4*-3*(-1)/m. What are the prime factors of ((-6)/4)/(a/16)? 2 Suppose 0 = -14*w + 9*w + 665. List the prime factors of w. 7, 19 Let p = -18 - -12. Let n(g) = -4*g - 3. What are the prime factors of n(p)? 3, 7 Let q(b) = b**3 - 6*b**2 + 2. Let g = 2 - 3. Let p be ((2 - -4)*g)/(-1). What are the prime factors of q(p)? 2 Let z = 50 + 2. What are the prime factors of z? 2, 13 Let n be 2/(-2 - (-128)/66). Let m = -18 - n. What are the prime factors of m? 3, 5 Let c(x) = x**2 - 9*x - 4. Let a be c(10). Suppose -k + 2*g + 2 = 6, 3*k - 4*g = -a. List the prime factors of k. 2 Let h = 3 - 0. Suppose -h*w - w = -44. What are the prime factors of w? 11 Let u(t) be the third derivative of t**6/8 + t**5/60 + 3*t**2. List the prime factors of u(1). 2 Suppose -4*a + 1081 = 4*w + w, 5*a = -w + 233. What are the prime factors of w? 3, 71 Suppose 3*l - 5*l = 0. Suppose l*r + 5*r - 45 = 0. List the prime factors of r. 3 Let l(r) = -4*r + 2 + 3 + 2*r + r**2 + r. Suppose 5*b + 4*a - 12 = 0, 13 = 5*b + 3*a + 4. List the prime factors of l(b). 5 Suppose 0 = 5*z - 0*z - 705. List the prime factors of z. 3, 47 Suppose -2*m + 18 = 4*d, 0 = -5*d + 5*m + 23 + 22. Suppose 2*i = -0*i + d. List the prime factors of i. 3 Let p = -65 + 83. What are the prime factors of p? 2, 3 List the prime factors of (-30)/18 - (-2815)/15. 2, 3, 31 Let w be -2 - (2 + 7/(-1)). Suppose 2*i = w*i - 14. What are the prime factors of i? 2, 7 Let c(t) = t**3 + 10*t**2 - t - 2. Let j = 14 + -24. What are the prime factors of c(j)? 2 Suppose -54 = -v - 4*y, -4*v + 3*v + 2*y = -66. Suppose 4*z - 10 = v. What are the prime factors of z? 2, 3 Suppose 2 = w - 0*w. Suppose -5*v + 5*p = -0*v + 25, -w*p = 3*v. List the prime factors of ((-7)/(-5))/(v/(-10)). 7 Let o(n) = -n + 10. Let p be o(5). Suppose 0 = 5*w - 10, 5*z - p*w - 10 = -0. Let f(y) = -y**3 + 4*y**2 + 3*y - 5. What are the prime factors of f(z)? 7 Let b = 15 - -13. What are the prime factors of b? 2, 7 Suppose 0 = -d - 3*j + 99 - 30, 2*d - 105 = 5*j. What are the prime factors of d? 2, 3, 5 Suppose 2*i - 15 = -3*j, -i + 2*j + j = -30. What are the prime factors of i? 3, 5 Suppose 4*r - 66 + 2 = 0. List the prime factors of r. 2 Let g = 5 - 4. Suppose g = n - 1. Suppose -t + 11 = -n*h, 3*t + 2*h - 10 = t. What are the prime factors of t? 7 Let s = -6 + 22. Let q = 30 - s. What are the prime factors of (12/14)/(2/q)? 2, 3 Let o = 12 - 0. List the prime factors of o. 2, 3 Suppose -v = -5*a - 0*v + 929, -a - 3*v + 173 = 0. What are the prime factors of a? 5, 37 Suppose -6*k - 5*d = -k - 45, -2*k - d = -20. Suppose 13 + k = 4*x. Suppose -2*v + v = -x. List the prime factors of v. 2, 3 Let l be (1 - 0) + 1 + 0. Suppose 0 = t - 5*i + 21, l*t = 3*i + 2*i - 22. List the prime factors of -2 - (t - (2 + 1)). 2 Let p = 122 + 57. What are the prime factors of p? 179 Let u(b) = 53*b**2 + 3*b - 2. List the prime factors of u(1). 2, 3 Suppose 2*w - t = -5*t + 362, 4*t - 539 = -3*w. What are the prime factors of w? 3, 59 What are the prime factors of 774/45 + (-2)/10? 17 What are the prime factors of (0 - (0 - 1)) + 398 + 11? 2, 5, 41 Let j(w) = 3*w**2 - 11*w - 4. Let i(m) = -m**2 - m - 1. Let z(r) = -2*i(r) - j(r). List the prime factors of z(10). 2, 3 Let o(m) = 7*m - 6. Let i be o(10). Let r = -36 + i. Suppose r = 3*h + 2*g - 6*g, -3*h - g = -8. List the prime factors of h. 2 Let s(l) = -l**3 + 6*l**2 + 2*l - 8. Suppose 22 = m - 5*b, -2*m - 6 = m + 3*b. Suppose -m - 4 = -r. List the prime factors of s(r). 2 Suppose -1 = a - 2*r, -5*a - 5 = -0*a + 2*r. Let d be 12/7 - 6/(-21). Let k = d - a. List the prime factors of k. 3 Let r(g) = 2*g**3 + g - 1. What are the prime factors of r(3)? 2, 7 Let l be 2/6 - (-413)/21. Let q = l - 1. What are the prime factors of q? 19 Suppose 226 = 5*p - 14. What are the prime factors of p? 2, 3 Let j(d) be the first derivative of -4 - 7/2*d**2 + d. List the prime factors of j(-3). 2, 11 Let a = -13 + 7. Let m = 28 + a. What are the prime factors of m? 2, 11 Let s(y) = -2*y**3 - 7*y**2 + 3*y + 12. List the prime factors of s(-5). 2, 3 Let i = 1 - -1. Let n(z) = 0*z - i*z + z + 0*z + 9. List the prime factors of n(7). 2 List the prime factors of (24/30)/(2/155). 2, 31 Suppose 1 = -2*i + 5. What are the prime factors of 14 - (1 - (i - 2))? 13 Suppose 4*f - 1 = -3*r + 27, -5*r + 28 = 2*f. Suppose -f*w - 5*c = w + 5, 2*w - c - 7 = 0. What are the prime factors of w? 2 Suppose 4*r - 4*u + 24 = -12, 5*r = u - 41. What are the prime factors of ((-20)/6)/(r/120)? 2, 5 Let q(g) be the third derivative of -g**6/120 - g**5/6 + g**4/4 + g**3/3 + 5*g**2. List the prime factors of q(-11). 3, 19 Let y = 57 - -13. List the prime factors of y. 2, 5, 7 Let z = -69 - -164. List the prime factors of z. 5, 19 Let k = 7 - 4. List the prime factors of 2/6 + 26/k. 3 Let u(w) be the first derivative of w**4/12 + 5*w**3/3 + 6*w**2 + 2*w - 2. Let v(q) be the first derivative of u(q). List the prime factors of v(-9). 3 Suppose a + 3*a = u - 68, 0 = -u - 3*a + 33. What are the prime factors of u? 2, 3 Suppose -4*v = -8, -4*v - 16 = b + 3*b. Let u be 8/2*9/b. List the prime factors of (-9)/6*28/u. 7 Let a(u) = -3 + 12*u**2 + 2*u**2 - 6*u**2 + 3*u. List the prime factors of a(2). 5, 7 Suppose -6
{ "pile_set_name": "DM Mathematics" }
99? 47 What is the remainder when 4242601 is divided by 257? 45 Calculate the remainder when 206300 is divided by 7362. 164 What is the remainder when 593370747 is divided by 538938? 9 Calculate the remainder when 14949118 is divided by 272. 270 What is the remainder when 5269576 is divided by 1756520? 16 Calculate the remainder when 4219224 is divided by 79. 71 Calculate the remainder when 5954365 is divided by 274. 71 Calculate the remainder when 510236 is divided by 379. 102 Calculate the remainder when 366124 is divided by 2002. 1760 Calculate the remainder when 6226547 is divided by 103. 94 Calculate the remainder when 1268339 is divided by 154. 149 Calculate the remainder when 1681160 is divided by 603. 599 Calculate the remainder when 54948 is divided by 1885. 283 What is the remainder when 3273109 is divided by 8660? 8289 Calculate the remainder when 911163 is divided by 1049. 631 What is the remainder when 11975 is divided by 5935? 105 Calculate the remainder when 743200 is divided by 144. 16 What is the remainder when 1099060 is divided by 219808? 20 Calculate the remainder when 828854 is divided by 2296. 2294 What is the remainder when 16564679 is divided by 165? 164 What is the remainder when 96820819 is divided by 51? 22 What is the remainder when 13040953 is divided by 765? 763 What is the remainder when 7160954 is divided by 134? 128 What is the remainder when 1826564 is divided by 347? 303 What is the remainder when 46631575 is divided by 295? 40 Calculate the remainder when 937655432 is divided by 13. 12 What is the remainder when 69303141 is divided by 47? 43 Calculate the remainder when 1188871 is divided by 18. 7 What is the remainder when 18069287 is divided by 151? 23 What is the remainder when 4349176 is divided by 71297? 59 Calculate the remainder when 233659 is divided by 6490. 19 What is the remainder when 1769313 is divided by 38463? 15 What is the remainder when 443338 is divided by 34091? 155 Calculate the remainder when 143623 is divided by 584. 543 What is the remainder when 36759342 is divided by 626? 622 Calculate the remainder when 670655 is divided by 69. 44 Calculate the remainder when 246079 is divided by 27. 1 Calculate the remainder when 698758 is divided by 49890. 298 Calculate the remainder when 111531 is divided by 22212. 471 What is the remainder when 3158123 is divided by 38? 19 Calculate the remainder when 7675752 is divided by 94. 88 What is the remainder when 37865908 is divided by 2273? 1 Calculate the remainder when 135534 is divided by 131020. 4514 What is the remainder when 138309 is divided by 304? 293 Calculate the remainder when 940973 is divided by 690. 503 What is the remainder when 2137797 is divided by 25149? 132 Calculate the remainder when 463789 is divided by 2917. 2903 What is the remainder when 115943 is divided by 8907? 152 Calculate the remainder when 78874 is divided by 78842. 32 Calculate the remainder when 79030 is divided by 26339. 13 Calculate the remainder when 72403 is divided by 905. 3 Calculate the remainder when 19540 is divided by 18. 10 Calculate the remainder when 8254576 is divided by 1375757. 34 What is the remainder when 1163990 is divided by 817? 582 What is the remainder when 44328634 is divided by 632? 154 What is the remainder when 43693 is divided by 1226? 783 Calculate the remainder when 225504 is divided by 20488. 136 What is the remainder when 378442 is divided by 388? 142 What is the remainder when 254739 is divided by 1031? 82 Calculate the remainder when 168044747 is divided by 251. 247 What is the remainder when 4259148 is divided by 1396? 1348 Calculate the remainder when 1655817 is divided by 8624. 9 Calculate the remainder when 56246600 is divided by 2389. 2373 Calculate the remainder when 736774 is divided by 45. 34 Calculate the remainder when 595379 is divided by 15266. 5 Calculate the remainder when 9417228 is divided by 4708597. 34 What is the remainder when 96372 is divided by 47723? 926 What is the remainder when 2093612 is divided by 28291? 78 What is the remainder when 20851 is divided by 20598? 253 What is the remainder when 3463908 is divided by 622? 612 What is the remainder when 3626148 is divided by 57? 36 What is the remainder when 989710 is divided by 168? 22 What is the remainder when 32470224 is divided by 376? 368 Calculate the remainder when 23883 is divided by 11754. 375 What is the remainder when 29257064 is divided by 51? 47 Calculate the remainder when 8737527 is divided by 74679. 84 Calculate the remainder when 1646003 is divided by 822686. 631 Calculate the remainder when 19467 is divided by 9406. 655 Calculate the remainder when 15338651 is divided by 102. 95 What is the remainder when 259873 is divided by 128826? 2221 Calculate the remainder when 505482 is divided by 526. 522 What is the remainder when 484904 is divided by 183? 137 What is the remainder when 600817146 is divided by 5071? 5066 What is the remainder when 112163 is divided by 1014? 623 What is the remainder when 6048701 is divided by 9407? 0 Calculate the remainder when 5356240 is divided by 95647. 8 Calculate the remainder when 11731101 is divided by 24. 21 Calculate the remainder when 998504 is divided by 35660. 24 Calculate the remainder when 4487944 is divided by 47. 8 What is the remainder when 114255749 is divided by 245? 244 Calculate the remainder when 47734221 is divided by 978. 975 Calculate the remainder when 7881117 is divided by 32. 29 Calculate the remainder when 1258546 is divided by 25. 21 What is the remainder when 314628 is divided by 20? 8 What is the remainder when 64148 is divided by 88? 84 What is the remainder when 220466803 is divided by 631710? 13 What is the remainder when 8658881 is divided by 7697? 7453 Calculate the remainder when 251164 is divided by 50228. 24 What is the remainder when 3707802 is divided by 4? 2 Calculate the remainder when 6043288 is divided by 4978. 4974 What is the remainder when 2207392 is divided by 93? 37 What is the remainder when 15254245 is divided by 37? 33 What is the remainder when 75968399 is divided by 885? 884 Calculate the remainder when 1179754476 is divided by 98. 96 What is the remainder when 41657599 is divided by 17810? 9 What is the remainder when 754040037 is divided by 534? 531 What is the remainder when 19739 is divided by 17570? 2169 What is the remainder when 69800168 is divided by 1081? 1079 What is the remainder when 737815 is divided by 20? 15 Calculate the remainder when 46228 is divided by 1210. 248 What is the remainder when 84514 is divided by 47? 8 Calculate the remainder when 84155172 is divided by 154697. 4 Calculate the remainder when 77720 is divided by 4852. 88 What is the remainder when 79528957 is divided by 34? 33 Calculate the remainder when 105172 is divided by 11913. 9868 What is the remainder when 104840836 is divided by 847? 23 Calculate the remainder when 9537301 is divided by 98. 39 Calculate the remainder when 184299 is divided by 1649. 1260 Calculate the remainder when 157733 is divided by 52382. 587 Calculate the remainder when 33158913 is divided by 1932. 1929 What is the remainder when 122028 is divided by 24311? 473 Calculate the remainder when 202076 is divided by 39799. 3081 Calculate the remainder when 114239 is divided by 13800. 3839 What is the remainder when 1239531 is divided by 619734? 63 Calculate the remainder when 10778165 is divided by 8. 5 What is the remainder when 1875291 is divided by 16? 11 Calculate the remainder when 207831 is divided by 69014. 789 What is the remainder when 94734225 is divided by 226? 223 Calculate the remainder when 33856254 is divided by 53. 13 What is the remainder when 6521603 is divided by 223? 191 What is the remainder when 171506582 is divided by 72? 62 Calculate the remainder when 355804 is divided by 4169. 1439 Calculate the remainder when 35176 is divided by 11513. 637 What is the remainder when 1690586 is divided by 16? 10 Calculate the remainder when 1208647 is divided by 3173. 2907 Calculate the remainder when 642587 is divided by 32129. 7 What is the remainder when 50998600 is divided by 180846? 28 Calculate the remainder when 548237 is divided by 42172. 1 What is the remainder when 52623475 is divide
{ "pile_set_name": "DM Mathematics" }
535 What is the l'th term of 36149, 36149, 36143, 36125, 36089, 36029? -l**3 + 3*l**2 - 2*l + 36149 What is the u'th term of -747, -6332, -21587, -51348, -100451, -173732? -806*u**3 + u**2 + 54*u + 4 What is the y'th term of 2290, 4646, 7002? 2356*y - 66 What is the u'th term of -2522, -5034, -7546, -10058, -12570, -15082? -2512*u - 10 What is the j'th term of 1186582, 1186584, 1186586, 1186588, 1186590? 2*j + 1186580 What is the m'th term of -57431, -57435, -57445, -57461? -3*m**2 + 5*m - 57433 What is the q'th term of -5377, -5384, -5395, -5410? -2*q**2 - q - 5374 What is the y'th term of 22159, 22144, 22129? -15*y + 22174 What is the a'th term of 14849, 29718, 44587? 14869*a - 20 What is the y'th term of 9055, 18245, 27435, 36625, 45815, 55005? 9190*y - 135 What is the i'th term of 189, 305, 421, 537? 116*i + 73 What is the p'th term of -279825, -559650, -839475, -1119300, -1399125? -279825*p What is the l'th term of 1231, 1237, 1231, 1207, 1159, 1081? -l**3 + 13*l + 1219 What is the b'th term of -518, -1094, -1672, -2252, -2834? -b**2 - 573*b + 56 What is the q'th term of 25898, 25956, 26014? 58*q + 25840 What is the g'th term of 4724, 9438, 14152, 18866, 23580, 28294? 4714*g + 10 What is the d'th term of -12892, -25781, -38670, -51559, -64448, -77337? -12889*d - 3 What is the t'th term of 10500, 10457, 10414? -43*t + 10543 What is the u'th term of 740, 777, 814, 851, 888, 925? 37*u + 703 What is the k'th term of -9860, -9909, -10054, -10343, -10824, -11545, -12554, -13899? -8*k**3 + 7*k - 9859 What is the s'th term of 3567, 7038, 10509, 13980, 17451, 20922? 3471*s + 96 What is the a'th term of -364, 184, 1106, 2408, 4096, 6176, 8654? a**3 + 181*a**2 - 2*a - 544 What is the d'th term of -16518, -16448, -16378, -16308, -16238, -16168? 70*d - 16588 What is the k'th term of -3876141, -7752283, -11628425? -3876142*k + 1 What is the q'th term of 17009, 33897, 50785? 16888*q + 121 What is the v'th term of -2999, -12000, -26993, -47972, -74931, -107864? v**3 - 3002*v**2 - 2*v + 4 What is the i'th term of -7028, -14088, -21182, -28328, -35544? -3*i**3 + i**2 - 7042*i + 16 What is the a'th term of -18, 12, 102, 258, 486? a**3 + 24*a**2 - 49*a + 6 What is the k'th term of -103399, -206798, -310195, -413590? k**2 - 103402*k + 2 What is the j'th term of -3744, -14969, -33670, -59841, -93476? j**3 - 3744*j**2 - 1 What is the v'th term of -779, -1368, -1957? -589*v - 190 What is the h'th term of -1898, -3838, -5772, -7700, -9622, -11538? 3*h**2 - 1949*h + 48 What is the t'th term of 382, 661, 940, 1219? 279*t + 103 What is the i'th term of -162, -425, -870, -1533, -2450, -3657, -5190? -6*i**3 - 55*i**2 - 56*i - 45 What is the x'th term of -645, -1616, -2587, -3558, -4529? -971*x + 326 What is the f'th term of 1245, 2470, 3695, 4920? 1225*f + 20 What is the p'th term of 3577, 7176, 10803, 14458? 14*p**2 + 3557*p + 6 What is the k'th term of 523, 533, 565, 625, 719? k**3 + 5*k**2 - 12*k + 529 What is the i'th term of 118480, 118475, 118470, 118465? -5*i + 118485 What is the g'th term of 5479, 11009, 16527, 22027, 27503, 32949, 38359, 43727? -g**3 + 5537*g - 57 What is the z'th term of -2558, -2523, -2470, -2387, -2262, -2083, -1838? 2*z**3 - 3*z**2 + 30*z - 2587 What is the a'th term of -46802, -93618, -140434, -187250? -46816*a + 14 What is the j'th term of -318222, -636442, -954662, -1272882, -1591102, -1909322? -318220*j - 2 What is the d'th term of 4093, 8171, 12249, 16327, 20405, 24483? 4078*d + 15 What is the f'th term of 5673, 5671, 5681, 5709, 5761, 5843? f**3 - 9*f + 5681 What is the a'th term of -152668, -152676, -152696, -152734, -152796, -152888, -153016, -153186? -a**3 - a - 152666 What is the q'th term of 5761, 5756, 5751, 5746? -5*q + 5766 What is the i'th term of -14986, -59922, -134816, -239668? -14979*i**2 + i - 8 What is the z'th term of 6857, 6856, 6855, 6854, 6853, 6852? -z + 6858 What is the s'th term of 582, 804, 996, 1146, 1242, 1272? -2*s**3 - 3*s**2 + 245*s + 342 What is the z'th term of 5993, 5980, 5967, 5954, 5941? -13*z + 6006 What is the d'th term of -40, 2, 234, 788, 1796? 22*d**3 - 37*d**2 - d - 24 What is the x'th term of -536152, -536151, -536150, -536149? x - 536153 What is the v'th term of -81, -384, -877, -1560, -2433? -95*v**2 - 18*v + 32 What is the x'th term of -2858, -5709, -8558, -11405, -14250, -17093, -19934? x**2 - 2854*x - 5 What is the u'th term of 669, 1618, 2567, 3516? 949*u - 280 What is the r'th term of -129065, -258121, -387177, -516233, -645289, -774345? -129056*r - 9 What is the t'th term of 8607, 17250, 25891, 34530, 43167, 51802? -t**2 + 8646*t - 38 What is the i'th term of -121, -534, -1221, -2176, -3393, -4866? i**3 - 143*i**2 + 9*i + 12 What is the j'th term of 96, 556, 1808, 4248, 8272, 14276? 66*j**3 - 2*j + 32 What is the h'th term of -140148, -140156, -140164? -8*h - 140140 What is the t'th term of -9858, -19723, -29588, -39453? -9865*t + 7 What is the h'th term of -3683, -14708, -33083, -58808, -91883? -3675*h**2 - 8 What is the c'th term of -6926, -6946, -6976, -7016? -5*c**2 - 5*c - 6916 What is the q'th term of 341622, 341611, 341600? -11*q + 341633 What is the c'th term of -15838, -31670, -47506, -63346, -79190? -2*c**2 - 15826*c - 10 What is the i'th term of 400, -13, -708, -1685, -2944, -4485, -6308? -141*i**2 + 10*i + 531 What is the s'th term of -70, -198, -406, -694, -1062? -40*s**2 - 8*s - 22 What is the g'th term of -39341, -39356, -39389, -39446, -39533? -g**3 - 3*g**2 + g - 39338 What is the q'th term of 788, 3203, 7246, 12923, 20240? q**3 + 808*q**2 - 16*q - 5 What is the i'th term of -75523, -75525, -75531, -75541, -75555? -2*i**2 + 4*i - 75525 What is the d'th term of -1524, -3064, -4600, -6132, -7660? 2*d**2 - 1546*d + 20 What is the q'th term of -887, -938, -1035, -1184, -1391? -q**3 - 17*q**2 + 7*q - 876 What is the s'th term of -253, -547, -895, -1303, -1777, -2323, -2947, -3655? -s**3 - 21*s**2 - 224*s - 7 What is the s'th term of -3035, -6045, -9053, -12059? s**2 - 3013*s - 23 What is the z'th term of 40248, 40241, 40234? -7*z + 40255 What is the o'th term of -96846, -96919, -96992? -73*o - 96773 What is the k'th term of 6, 49, 186, 465, 934, 1641? 8*k**3 - k**2 - 10*k + 9 What is the l'th term of -58734, -117470, -176206, -234942, -293678, -352414? -58736*l + 2 What is the r'th term of 414, 1015, 1616? 601*r - 187 What is the w'th term of -84, -148, -248, -384, -556, -764, -1008? -18*w**2 - 10*w - 56 What is the n'th term of -675, -1319, -1963, -2607, -3251? -644*n - 31 What is the x'th term of -7428, -14882, -22364, -29874, -37412, -44978, -52572? -14*x**2 - 7412*x - 2 What is the f'th term of 316, 2291, 7576, 17827, 34700, 59851, 94936? 276*f**3 - f**2 + 46*f - 5 What is the s'th term of 282, 584, 886, 1188? 302*s - 20 What is the p'th term of 160, 1340, 2520, 3700? 1180*p - 1020 What is the a'th term of -1025, -952, -757, -380, 239? 10*a**3 + a**2 - 1036 What is the o'th term of -4676, -9106, -13562, -18056, -22600? -2*o**3 - o**2 - 4413*o - 260 What is the m'th term of -7660, -30689, -69064, -122779, -191828, -276205, -375904? m**3 - 7679*m**2 + m + 17 What is the q'th term of -478, -916, -1352, -1786, -2218, -2648, -3076? q**2 - 441*q - 38 What is the k'th term of 10339, 20672, 31007, 41344, 51683, 62024? k**2 + 10330*k + 8 What is the y'th term of 1801, 1795, 1785, 1771? -2*y**2 + 1803 What is the u'th term of -38, -215, -552, -1073, -1802, -2763, -3980, -5477? -4*u**3 - 56*u**2 + 19*u + 3 What is the u'th term of -70, -329, -760, -1363, -2138, -3085? -86*u**2 - u + 17 What is the z'th term of -72, -90, -106, -120? z**2 - 21*z - 52 What is the c'th term of 1498042, 2996086, 4494130, 5992174? 1498044*c - 2 What is the b'th term of -47359, -94724, -142091, -189460? -b**2 - 47362*b + 4 What is the v'th term of 1368778, 1368777, 1368776? -v + 1368779 What is the t'th term of -2518, -2420, -2336, -2272, -2234, -2228, -2260, -2336? -t**3 - t**2 + 108*t - 2624 What is the h'th term of 422, 821, 1196, 1547, 1874? -12*h**2 + 435*h - 1 What is the x'th term of 18257, 36639, 55021, 73403, 91785, 110167? 18382*x - 125 What is the g'th term of 30845, 30846, 30847, 30848, 30849? g + 30844 What is the s'th term of -14839, -14829, -14811, -14785, -14751, -14709, -14659? 4*s*
{ "pile_set_name": "DM Mathematics" }
-156 Rearrange ((-200 - 16*g + 200)*(1 - 2 - 4) + g + 3 - 3)*(-3 - 5 + 6) to l + x*g and give x. -162 Rearrange -z**2 + 4*z**2 + 5 + 52*z**3 - 53*z**3 to the form a*z + w + l*z**2 + i*z**3 and give i. -1 Express -17*v - 2*v**3 + 2*v**3 + 3*v - 4*v**3 - v**3 as c + b*v + j*v**3 + r*v**2 and give j. -5 Express -1 - 11*n**2 - 157*n**4 + 0*n**2 - n**3 + 155*n**4 - 9*n**2 as a*n + k*n**3 + s + u*n**4 + m*n**2 and give m. -20 Rearrange (o**3 - 2*o**3 + 3*o**3)*(138 + 0 - 55) to a*o**2 + i*o + r + l*o**3 and give l. 166 Rearrange -67 - 48 + 101*f - 103*f to x + i*f and give i. -2 Express -23 + 21*t**2 - 9*t**2 + 4*t**3 - 12*t**2 - t in the form m*t + d*t**3 + p + a*t**2 and give a. 0 Express (-5*b - 3*b + 7*b)*(-46 + 2*b + 12 - 18) as v*b + k*b**2 + u and give v. 52 Rearrange 3*t**2 - 9*t**3 + 8818 - 8818 to the form r + g*t**2 + j*t + d*t**3 and give g. 3 Express -5*c - 231*c + 108*c - 37*c - 241*c as r*c + t and give r. -406 Express -2*r**2 + 2*r**2 + r**2 + (-r + 1 - 1)*(0 + 1 - 4)*(2*r - 4*r + 3*r) as j*r**2 + n + g*r and give j. 4 Express (0 + 3 - 5)*(0 - 3 + 2)*(119*w + 229*w - 104*w) as i + n*w and give n. 488 Rearrange -w**3 - 48514*w**2 - 3*w**3 + 48714*w**2 to the form m*w**2 + f*w**3 + b + y*w and give m. 200 Rearrange 1 + 53 + 4*a - 4 - 2 to the form z + l*a and give z. 48 Express 355 - 7*o**4 - 4*o**3 + 11*o**4 - 2*o - 181 - 176 as s*o**4 + j*o + g*o**3 + r + l*o**2 and give j. -2 Express ((-10*o - 2*o + 2*o)*(5 - 4 + 0) - 2 + 2 - 3*o)*(4*o**2 - 2*o**2 + 0*o**2) as d*o + g*o**2 + y*o**3 + l and give y. -26 Express -14*h**2 + 15*h**2 - 14 + 19*h - 21*h as z + u*h**2 + y*h and give y. -2 Express n - n**2 + n**2 - 7*n**3 + 35*n**2 + n - 2*n**2 as b*n + r*n**3 + x + o*n**2 and give b. 2 Express -9*v + 22*v - 12*v + 1395 + (-2 + 1 - 1)*(-2*v - 5*v + 5*v) + v + v + 0*v in the form c + i*v and give c. 1395 Express (341*v + 18*v**2 - 341*v + 3*v**3)*(-14 + 47 - 10) as o + c*v**2 + m*v + f*v**3 and give c. 414 Rearrange 10 + 0 + 2*r**2 - 85*r - 8 to u + x*r + q*r**2 and give u. 2 Rearrange (-m + 2*m**2 + m)*(-172*m**2 - 84*m**2 + 95*m**2) to c*m**4 + r*m + v*m**3 + t + n*m**2 and give c. -322 Express (-10 + 10 - 6*i)*(0 + i + 0)*(7*i - 52 - i - 7*i) as o*i**2 + h + n*i**3 + t*i and give n. 6 Express (3 - 3 + 3*k**2)*(-63*k + 30*k - 1 + 31*k) in the form f*k + r + n*k**3 + v*k**2 and give v. -3 Rearrange 36*z**2 + 8*z + 41640 - 41640 to the form m*z**2 + l + p*z and give p. 8 Rearrange 685*d + 8 + 11*d**2 - 691*d - 12*d**2 + 23*d**2 - 10 to c*d + l + o*d**2 and give o. 22 Rearrange (-8 - 4 + 1)*(62*q - 110 + 110) to the form j + f*q and give f. -682 Express -10 + 4 + 5 - 3 - 16*k in the form i*k + j and give j. -4 Express 66*m + 81*m - m**2 - 16 + 17 in the form a + p*m**2 + d*m and give p. -1 Rearrange 230*v**2 - 2*v**3 + 3*v**3 - v**4 - 27*v**2 - 1 to the form l*v**3 + u + i*v + d*v**2 + c*v**4 and give u. -1 Rearrange -7*i + 21*i - 6*i + 4 - 7*i to the form q*i + z and give q. 1 Rearrange (-4 + 10 + 2)*(26*g + 345 - 345)*(3*g + 2*g - 3*g) to q*g**2 + b + x*g and give q. 416 Express (-46*n**2 - 49*n**2 + 93*n**2 - 30*n**3)*(-3 + 2 + 3)*(2 - 2 - 3*n) in the form k*n**2 + b*n**3 + y + u*n**4 + d*n and give u. 180 Rearrange -48*h + 95*h - 59*h - 1861*h to i*h + y and give i. -1873 Express (-2 + 2 - 3*v)*(2*v**2 + 0*v**2 - 4*v**2) - 3*v**2 + 11*v**3 - 2 - 4*v**3 - 5*v**3 as f + j*v**2 + b*v**3 + s*v and give j. -3 Express 30*l - 8*l + 54*l - 15*l as z*l + t and give z. 61 Express 194*z - z**2 + z**3 - 194*z + 18 + 20 as g*z**2 + p*z + h + s*z**3 and give g. -1 Express (-6*l - 9 + 9)*(0*l + 6*l - 22 + 23) as u*l**2 + v*l + p and give u. -36 Rearrange 41 - 16*s**4 + 8 + 3*s + 31*s**4 - 18 - s**3 - 14*s**4 to b*s**2 + y*s + m*s**4 + g + o*s**3 and give m. 1 Express 8*y - 17*y + 3 + 6 - 4 + 3*y in the form i*y + u and give i. -6 Express 6*z + 3*z**2 - 3*z - 1 - 5 + 3 - 6*z**2 as a*z**2 + o*z + y and give y. -3 Express (41 - 41 + 8*k)*(133 + 11*k - 133) as d + y*k + n*k**2 and give n. 88 Rearrange 161*k**2 + 129*k - 68*k - 59*k to z*k**2 + w + h*k and give h. 2 Rearrange -2*h + 14*h - 2349*h**2 - 11 + 2348*h**2 - 3*h**3 to the form l + s*h**3 + r*h**2 + t*h and give s. -3 Express (-3183*s**2 + 6*s - 51*s + 3181*s**2)*(-5*s + 0*s + 0*s) as y*s**2 + l*s**3 + w*s + v and give y. 225 Express (-3*m - 3*m + 2*m)*(114*m**3 + 456 + 601*m**3 - 456) in the form z*m**3 + w*m**2 + t + n*m**4 + j*m and give n. -2860 Express 2*y - 7 - 7*y + y + 8 + 3*y + y**3 - 3*y**4 in the form n*y**2 + r*y**4 + k + o*y**3 + v*y and give v. -1 Rearrange 33 - g**2 - 71*g + 73*g + 11*g**3 + g**3 to b + r*g**3 + h*g + m*g**2 and give b. 33 Express 2*k**2 - 1033941 + 2*k - 258*k**3 + 1033941 as i + j*k + w*k**2 + d*k**3 and give d. -258 Express -263*s + 145*s - 170*s - 177*s in the form i + q*s and give q. -465 Express k**3 + 156*k**2 + 2*k - 2*k + 2*k - 2*k**4 - 140*k**2 as r + v*k**2 + a*k + h*k**4 + o*k**3 and give a. 2 Rearrange -109*r**3 + 70*r**3 - 195*r**3 + (0*r**2 + 3*r**2 - 2*r**2)*(-4*r + 6*r - r) to v*r**2 + j*r + m + c*r**3 and give v. 0 Rearrange 116*b**2 + 189*b - 189*b to the form m*b + j + h*b**2 and give h. 116 Express ((1 + 9 + 11)*(4 - 3 + 2) - 3 - 4 + 5)*(-y + 2*y - 2*y)*(-2 + 27 - 2) in the form m + t*y and give t. -1403 Express (3*g**2 + 4*g**2 - 4*g**2)*(-26*g**2 - 68*g**2 - 334*g**2) + 2*g**4 - 3*g**4 + 2*g**4 as j*g**4 + n*g + x*g**3 + p + a*g**2 and give j. -1283 Express 8*d - 2*d + 2*d - 7*d - 1800*d**3 - 234*d**3 as p*d + s*d**2 + u + t*d**3 and give t. -2034 Rearrange -19 + 25*p**3 + 68*p**3 - 2*p**2 + 106*p**3 + 20 + 13*p**3 to the form c*p + r*p**3 + g + m*p**2 and give r. 212 Rearrange -l**2 + 4*l**2 - 2 - 1 - 1 - l**2 - 3*l**3 to y*l**3 + w*l**2 + i + c*l and give i. -4 Express -3*q + 24*q**2 + 4*q**4 - 144*q**3 + 3 + 151*q**3 - 24*q**2 as k*q**3 + m*q**2 + n*q**4 + j*q + l and give m. 0 Express (j + 0*j - 2*j)*(0*j + 0*j - j) - 7*j**2 + 3*j - 3*j + 13*j**2 - 13*j**2 + 21*j**2 in the form v + d*j**2 + t*j and give d. 15 Rearrange 860*q - 2008*q - 134*q to the form a + g*q and give g. -1282 Express 10*m**2 - 25*m - 33*m + 0*m - 3*m**2 + 3*m as y*m**2 + z*m + q and give y. 7 Rearrange 4*y**3 + 4*y - 2 - 5*y**2 + 2*y**2 - 5*y**3 + 2*y**4 - y to p*y + s + f*y**2 + a*y**4 + n*y**3 and give f. -3 Rearrange 1263*x + 8 - 27*x**2 + x**2 - 2524*x + 1259*x + 1 to u + t*x**2 + w*x and give u. 9 Express -2*d**3 + 2*d**4 - 3*d**4 - 925 + 923 - 5*d**3 + 2*d**2 - 7*d**2 as x*d**3 + t + k*d**4 + h*d + j*d**2 and give x. -7 Rearrange (-356*k**2 + k**3 + 18*k + 356*k**2)*(2*k - 4*k + k) to c*k**3 + z*k**2 + p*k**4 + w + i*k and give p. -1 Express 3*z**2 - 530 - 6*z**2 + 2*z**2 - z + 354 in the form i*z + n + g*z**2 and give g. -1 Express (-2*j**3 + 0*j**3 + 0*j**3)*(2*j - 2*j + j) - 365*j**4 - 406*j**2 - 40*j**2 + 366*j**4 in the form q*j**3 + k*j**2 + l + g*j + x*j**4 and give x. -1 Rearrange (9 + 49*y + 49*y - 97*y + 0*y + y - 2*y + (4 - 1 - 1)*(-2 - y + 2))*(y + 5*y - y) to a*y**2 + o + z*y and give z. 45 Express 17*t + 107*t - 4*t - 489 + 490 in the form p + m*t and give p. 1 Rearrange -76*v**3 + 20*v**2 + 94*v**3 - 9*v**2 - 338*v**3 - 12*v**2 + 2*v to c*v**2 + y + f*v**3 + z*v and give c. -1 Rearrange 13 + 21 + 17 - 51 - 2098*g to p + m*g and give m. -2098 Rearrange 2*f - 44*f**4 - 2 - 43*f**4 + 2*f**2 + 31*f**4 + f**3 to p*f**4 + m*f**3 + k*f + g + t*f**2 and give g. -2 Express -15 + 4*y**3 - 2*y**4 + 13 + 0*y**4 + 3*y**3 + 2*y - y**2 in the form t*y**2 + o*y**4 + q*y + n*y**3 + j and give n. 7 Rearrange 115 + 576*x - 232 + 117 to the form t + s*x and give s. 576 Express (49 + 66 - 83)*(-u**3 + 0*u**3 - 4*u**3) in the form y*u**2 + g*u**3 + w + o*u and give g. -160 Express -550 - 545 + 1649 - 1703*o - 554 as n*o + f and give n. -1703 Rearrange -60*z - 103*z - z to a + b*z and give b. -164 Rearrange 4*n**2 + n**3 - 4*n - 66 + 36 + 28 to m*n + r*n**2 + z + p*n**3 and give m. -4 Rearrange 3*j**2 + 4*j - 9 + 16*j**4 - 29*j**4 + 15*j**4 + 9 - 25*j**3 to the form a*j + v*j**4 + o + g*j**3 + x*j**2 and give x. 3 Rearrange (-67*a**2 + 11*a**2 - 20*a**2)*(4 - 3 + 1 - a) to the form f*a**3 + k*a**2 + o*a + z and give k. -152 Rearrange 28*h**4 + 2*h**2 + 20*h**4 - 6*h**3 - 1 - 80*h**4 + 30*h**4 to the form b*h**4 + z*h**2 + v + o*h + a*h**3 and give b. -2 Rearrange 0*o**2
{ "pile_set_name": "DM Mathematics" }
4 Let p be -1 + 3*(-1)/(-9). Sort 4, p, -4/5. -4/5, p, 4 Let l be 12/15*4 + -3. Let a = 28 - 28.2. Sort 3, a, l. a, l, 3 Suppose y + 15 = -4*y. Let n be 4*(-1 + 0/(-2)). Let h = y - n. Put h, -1, -2 in decreasing order. h, -1, -2 Let y = -11 - -15. Let i = 3.7 - y. Let v = -5 + 9. Put 0.5, v, i in ascending order. i, 0.5, v Let d(o) = -3*o + 1. Suppose -2*x - 6 = 2*z, -x + 4*z + 5 + 17 = 0. Let y be d(x). Let p be 0/(-14) + -2*(1 - 2). Sort y, -4, p. y, -4, p Let s = 60 - 55. Sort -3, s, -6 in ascending order. -6, -3, s Let r(z) be the third derivative of z**5/60 + z**4/6 + z**3/6 - z**2. Let h be r(-4). Let m be 6/(-9) + 16/18. Sort h, m, 1/4 in decreasing order. h, 1/4, m Let n = 7.956 - -0.044. Put -1/7, 0.2, n, 1/4 in descending order. n, 1/4, 0.2, -1/7 Suppose 4*r - 250 = 4*i + 2*r, 4*i - 5*r + 265 = 0. Let g = i + 123/2. Suppose -3*y - 12 = -d, -5*d + 18 + 12 = -5*y. Put d, 4, g in increasing order. g, d, 4 Suppose 2*n + 0 - 1 = -p, 3*p - n + 18 = 0. Put -8, -4, p in increasing order. -8, p, -4 Let q = -19.5 + 20. Sort -0.5, q, -1 in decreasing order. q, -0.5, -1 Let w(i) = i**3 - 5*i**2 - i + 2. Let p be w(5). Suppose 0 = -y + 5*y - 8. Put p, y, -2 in descending order. y, -2, p Suppose -5*f - 13 = 22. Put f, 4, -5 in decreasing order. 4, -5, f Let t = 48 + -46. Put -5, 0, t in decreasing order. t, 0, -5 Suppose l + 1 = -0. Let b = 1/2 + l. Put b, -5/6, 3/4 in decreasing order. 3/4, b, -5/6 Let k = 9 - 9.1. Let o = -4.6 + 7.7. Let v = o + -0.1. Sort k, v, -2/3 in descending order. v, k, -2/3 Let y = -0.4 + 0.2. Let s = -2.97 - 0.03. Let v = 4 + s. Sort v, y, 3 in ascending order. y, v, 3 Suppose -1 = -q + 3*o, -q + 2*o + 1 = -1. Put 5, q, -5 in descending order. 5, q, -5 Suppose 5*t = t - 8. Let c be t/(-7) + 40/7. Suppose c*w = w. Put w, -1, -2 in decreasing order. w, -1, -2 Let o be ((-40)/(-24))/(2/(-6)). Sort 5, 1, o, 0 in descending order. 5, 1, 0, o Let n = 0.64 - 0.54. Put n, -0.13, -2 in decreasing order. n, -0.13, -2 Let t(p) = p + 9. Let q be t(-6). Let x be (-16)/(-10)*(-135)/(-108). Sort -2, q, x in decreasing order. q, x, -2 Let t = 4 - 4.3. Let d = -151 + 599/4. Let v = -22 - -20. Put d, t, v in decreasing order. t, d, v Let o = -15/58 + 1/116. Let y = -0.03 - -0.33. Sort y, -2/7, o. -2/7, o, y Suppose -10 = -4*i - 3*f - 3, 0 = 3*i - 5*f + 31. Let r = 3 - 5. Let m be ((-6)/r)/3 + 4. Sort 4, m, i in ascending order. i, 4, m Let j(k) = -k**3 + k**2 - k - 8. Let a be j(0). Suppose -3*v + 33 = -0*v. Let p = a + v. Put -4, 1, p in increasing order. -4, 1, p Let g = 31.9 + -32. Sort -2/3, -2, g in increasing order. -2, -2/3, g Let q(z) = -4*z**2 + 3*z**2 + z**3 + 4*z**2 - z. Let l be q(-3). Sort -3, l, -5 in decreasing order. l, -3, -5 Suppose -4*z + 1 = -m + 2, 3*z + 2*m = 2. Put -2/9, z, 5 in decreasing order. 5, z, -2/9 Let j(z) = 2*z + 2. Let t be j(-1). Sort t, 15, -2 in ascending order. -2, t, 15 Suppose 2*u - 16 = -5*x, 2*x + 9*u + 2 = 4*u. Put -5, 2, x, -9 in increasing order. -9, -5, 2, x Let g be -4*3/6*2/(-8). Sort g, 0.4, -0.2. -0.2, 0.4, g Let w be (-356)/72 + 4 + (-3)/(-6). Put w, 0.1, 1.2, -0.2 in descending order. 1.2, 0.1, -0.2, w Suppose 0 = 3*h - 6 - 6. Suppose -h*u = u - 25. Sort u, 1, -4 in descending order. u, 1, -4 Suppose 7 - 2 = 5*y. Let r be 15/3 + -1 + y. Suppose a - 9 = -0*a + 3*c, 2*c = -2*a - 14. Sort r, -2, a. a, -2, r Let z = 367 + -374. Let d be (-4)/63 - 4/(-14). Sort 4, d, z. z, d, 4 Let z(j) = j**2 + 6*j. Suppose -7*g - 6 = -6*g. Let i be z(g). Put i, -2, 2 in increasing order. -2, i, 2 Let y = -47/84 - 4/21. Sort y, -5, -1, 2/5. -5, -1, y, 2/5 Let q = -6 + 4. Let s be 8/6 + 4/6. Put s, q, -1 in decreasing order. s, -1, q Suppose -4*k = k - 175. Let u = k + -60. Let z be u/(-20)*(-4)/1. Sort z, -3, 0 in ascending order. z, -3, 0 Let z(m) = -m**2 + m + 3. Let u be z(3). Let f = u - -3. Suppose -5*i = -i + 12. Sort 3, f, i in increasing order. i, f, 3 Suppose -7*b - 1 = 6. Put 3, 2, b in decreasing order. 3, 2, b Let j(z) = 7*z**3 + 2*z**2 - z. Let u be j(1). Let g(h) = -h**3 + 7*h**2 + 7*h + 10. Let w be g(u). Sort w, 0, 4 in increasing order. 0, w, 4 Let a = -19 - -39. Let c = 15 - a. Put c, -2, 2 in decreasing order. 2, -2, c Let x = -0.4 + 0.5. Let p = -0.36 - 0.04. Sort x, 2/7, p in descending order. 2/7, x, p Let u be 0 + 0 + (-3)/2. Let a = 15 + -14.1. Put a, 5, u in decreasing order. 5, a, u Suppose 5*z = 4*r + 12, 0 = -r - 2*z + 6 + 4. Let s = 5 + -2. Suppose -g - s = 2*g. Put g, r, 1 in decreasing order. r, 1, g Suppose 0 = -3*i - 5*i - 8. Put i, -4, 3, 5 in decreasing order. 5, 3, i, -4 Suppose 2*g = x - 3*x - 26, 3*g + 22 = -2*x. Let o = x - -22. Sort -5, o, -4 in descending order. o, -4, -5 Let m = 1 - 0.8. Let b = 0.7 - m. Let d = -18 - -19. Sort d, 2, b in descending order. 2, d, b Let u = 29.8 - 30. Put 5, u, 2/9 in descending order. 5, 2/9, u Let h(z) = z - z + 6 + 3*z - 4*z. Let l be h(5). Put l, -3, 0 in increasing order. -3, 0, l Let s = 4.6 + -2.6. Sort -0.5, s, 0 in ascending order. -0.5, 0, s Let y be (-45)/108*(-4)/10*6. Put -1, 0, -5, y in decreasing order. y, 0, -1, -5 Let j = 1289/11 + -117. Sort j, 0.5, 0, -2 in ascending order. -2, 0, j, 0.5 Suppose 5*q + o = 4*o + 90, -3*o = -15. Suppose 3*i + 4*k = k - q, -5*i - 19 = k. Put -4, i, -1 in ascending order. -4, i, -1 Let d(l) = l - 4. Let z be d(6). Put 3, -1, z in decreasing order. 3, z, -1 Let b be -6*(5/(-10) + 0). Sort b, -1, 2 in descending order. b, 2, -1 Let k be -6 + 8/5 + 2/5. Sort 1, -7, k, 2 in decreasing order. 2, 1, k, -7 Let d = 6 - 5.7. Let i = -3 + -2. Sort d, -0.1, i in decreasing order. d, -0.1, i Let k = 1.1 - 25.1. Sort -2, 2, k in descending order. 2, -2, k Suppose 19*d = 23*d - 8. Let x = -14 - -21. Sort d, x, 4 in ascending order. d, 4, x Let q = -8 - -8. Suppose q = -k - 3*k + 20. Suppose -4*s = k*x + 31, x - 3 + 2 = s. Put -5, -1, s in ascending order. -5, s, -1 Suppose -5*q + h + 21 = -2, 4*q - 22 = 2*h. Let g(l) = -l + 3. Let z be g(q). Suppose -6 = 4*b - 4*i + 10, -i = -4*b - 19. Sort b, 4, z in ascending order. b, z, 4 Suppose 0 = -2*g + 4*f - 8, 3*g + 10 = 5*f. Put -13, g, 2 in increasing order. -13, g, 2 Suppose -4*j + 3 + 5 = 0. Sort 0, j, -5. -5, 0, j Let r be (-12)/54 + 50/(-18). Sort 6, r, -2. r, -2, 6 Let h = 11 + -11. Sort h, 4, -5. -5, h, 4 Let z be (-216)/(-81) - (-1)/3. Let b = -8 - -4. Sort b, z, 4. b, z, 4 Suppose 14 = 2*p + 2*i, 2*i + 2*i - 18 = -2*p. Sort p, 4, -17. -17, 4, p Let u = 4.0815 - 0.0715. Let t = -0.01 + u. Let l = -4 + 2. Put t, -5, l in decreasing order. t, l, -5 Let y(w) = -w**2 - 2*w + 10. Let c be y(3). Sort 9, c, -3, 4 in decreasing order. 9, 4, -3, c Suppose -n = 2*i + 4*n + 30, 5*i + 2*n = -33. Put 5, i, -2 in descending order. 5, -2, i Let g(o) = -o**3 - 6*o**2 - 2*o - 9. Let q be g(-6). Let n be 0/q - (1 - -1). Suppose -24 = -k + h + 4*h, 4*k + 4 = -5*h. Put 0, k, n in descending order. k, 0, n Suppose -16 = 2*r + 28. Let n be (3 - (0 + 1))/(-1). Let z be r/(-8) - n/8. Put -4, z, 4 in increasing order. -4, z, 4 Let i be -1 - 2/((-8)/10). Let d be 9/(-2)*(-2)/(-21). Sort i, d, -2/9 in decreasing order. i, -2/9, d Let f be ((-2)/8)/((36/(-32))/9). Sort 0, f, 12. 0, f, 12 Suppose 0 = -8*i + i + 7. Sort i, -1, -5 in decreasing order. i, -1, -5 Let p be 6/57*(-124)/24. Let z = p - -4/19. Put -1/15, 1/3, z in increasing order. z, -1/15, 1/3 Let z = 177.9 + -178. Put 2/39, -4, z, 2/19 in decreasing order. 2/19, 2/39, z, -4 Let x = -9 - -9. Put x, -3, -4/9 in descending order. x, -4/9, -3 Let m = -2 - -5. Let l be (-6*16/12)/(-14). Put m, l, -0.05 in ascending order. -0.05, l, m Let p = -212 + 2754/13. Let z = -0.028 - -0.028. Sort p, z, -3. -3, p, z Let i = 2.3 - 0.3. Let b = -0.01 - -0.01. Put b, 3, i in descending order. 3, i, b Let d(f) = f**3 + 4*f**2 - 3*f + 4. Let h be d(-4). Let z be (12/h)/(18/(-16)). Sort -1, z, -3 in decreasing order. z, -1, -3 Let f(t) = t**2 + 5*t - 5. Let p be f(-5). Sort -4, -2, p in ascending order. p, -4, -2 Let l(b) = b**3 + 3*b**2 - 3*b - 6. Let j be l(-3). Put j, 0, 2 in decreasing order. j, 2, 0 Let c = 1 - 2. Let z = -2 - c. Let q = -2.8 + 3. Put z, q, -0.1 in decreasing order. q, -0.1, z Let c be (-58)/261 + 10/(-9). Put -2, c, -0.3 in decreasing order. -0.3, c, -2 Let v(c) = -9*c**3 - c - 1. Let y = 6 + -7. Let z be v
{ "pile_set_name": "DM Mathematics" }
71506 What is the next term in 172, 759, 1750, 3139, 4920, 7087, 9634? 12555 What is next in 31011, 31058, 31131, 31242, 31403, 31626, 31923, 32306? 32787 What is the next term in 4540, 9079, 13618? 18157 What comes next: -4226, -16937, -38126, -67793, -105938, -152561? -207662 What is next in 22004, 22008, 22012, 22016? 22020 What is next in 365, 365, 371, 389, 425, 485, 575? 701 What comes next: 1057, 2116, 3175, 4234, 5293? 6352 What is next in -156, -639, -1426, -2499, -3840, -5431, -7254? -9291 What comes next: 444101, 1776401, 3996901, 7105601, 11102501, 15987601, 21760901? 28422401 What comes next: -35410, -35398, -35386, -35374? -35362 What is next in 190, 95, 2, -89? -178 What comes next: -3884, -3837, -3706, -3449, -3024, -2389, -1502, -321? 1196 What is next in -1867, -3754, -5641, -7528? -9415 What comes next: 57627, 57628, 57633, 57642, 57655, 57672? 57693 What is the next term in 102841, 102846, 102855, 102868, 102885? 102906 What is the next term in -23, -135, -337, -629? 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-107521 What is next in 4561, 9124, 13687, 18250? 22813 What is next in -44, 22, 90, 160, 232, 306? 382 What comes next: -3042, -6087, -9136, -12189, -15246? -18307 What is next in 2044, 4159, 6284, 8425, 10588, 12779? 15004 What comes next: 88, 193, 312, 451, 616, 813? 1048 What is next in -1040, -2207, -3372, -4535, -5696? -6855 What is next in 1322, 5353, 12084, 21527, 33694? 48597 What is next in 26, 97, 194, 329, 514, 761? 1082 What is next in 2164, 2147, 2108, 2035, 1916, 1739, 1492, 1163? 740 What comes next: -14, -162, -426, -806, -1302, -1914, -2642? -3486 What is next in 328, 637, 910, 1129, 1276, 1333, 1282? 1105 What is next in -2384, -3705, -5028, -6353? -7680 What is the next term in 701, 1360, 2019, 2678? 3337 What comes next: 98, 298, 636, 1118, 1750, 2538, 3488, 4606? 5898 What is the next term in -6133, -12246, -18343, -24418, -30465, -36478, -42451? -48378 What is next in -175606, -175605, -175604, -175603, -175602, -175601? -175600 What is next in 474, 511, 608, 795, 1102, 1559, 2196, 3043? 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{ "pile_set_name": "DM Mathematics" }
8. Let m(b) = 37*b**3 - 28*b**2 + 17*b + 33. Let t(y) = 2*m(y) - 9*q(y). Let h(z) = -z**3 + z**2 - 1. What is 6*h(u) - t(u)? u**3 - u**2 + 2*u Let x(w) = w + 4. Let s(y) = 2*y + 7 - 9 - 3*y. Give -5*s(m) - 3*x(m). 2*m - 2 Let y(o) = -2*o - 5. Let s(x) = -1. Let k = 1 + 0. Suppose 3*d = -3*m + 5*d + k, 0 = -2*m - 4*d - 10. What is m*y(i) + 5*s(i)? 2*i Let j(a) = 4*a**2 - 31*a - 1. Let o be j(8). Let w(n) = -13*n + 16. Let c(i) = 4*i - 5. What is o*c(u) + 2*w(u)? 2*u - 3 Suppose -9 = 2*z + 1. Let p(c) = -3*c**2 + 7*c - 7. Let g(a) = a**2. Let b(r) = -4*g(r) - p(r). Let h(l) = -l**2 - 8*l + 8. Give z*h(t) + 6*b(t). -t**2 - 2*t + 2 Let y(n) = 9*n**3 + 3. Let i(p) = 9*p**3 + p + 4. Give -2*i(c) + 3*y(c). 9*c**3 - 2*c + 1 Let j(y) = 2*y**3 + 4*y**2 - 2*y. Let x(b) = b**3 + b**2. Calculate -j(a) + 4*x(a). 2*a**3 + 2*a Let d(f) be the first derivative of 10*f**3/3 + 3*f**2 + 6*f + 1. Let g(p) = -7*p**2 - 4*p - 4. Determine -5*d(u) - 7*g(u). -u**2 - 2*u - 2 Let a(n) = n**3 - 7*n**2 + 8. Let f(i) be the third derivative of i**6/120 - 2*i**5/15 + 3*i**3/2 + 2*i**2. Give -7*a(c) + 6*f(c). -c**3 + c**2 - 2 Let t(j) be the third derivative of j**6/120 - j**5/12 - j**3/6 - 2*j**2. Let y(a) = a**2 - 2*a**2 - 5*a**2 + 5*a**2. Calculate -t(w) + 6*y(w). -w**3 - w**2 + 1 Let v(h) = -3*h**3 + 11*h**2 + 11*h - 11. Let p(l) = -5*l**3 + l. Let f be p(-1). Let c(o) = 94*o - 90*o + 4*o**2 - o**3 + 0 - 4. Determine f*v(m) - 11*c(m). -m**3 Let a(s) = -4*s + 2. Let q(t) = 21*t - 11. Determine 33*a(n) + 6*q(n). -6*n Let d(j) = -1. Let f(l) = -l. What is -d(r) + 2*f(r)? -2*r + 1 Let s = 4 + -1. Suppose 3*h = 3*m - 6, 2*m + s*m - h = 14. Let z(x) = 0*x**2 - 4*x**2 - 2*x**2 - m*x**2. Let t(f) = -4*f**2. Calculate -5*t(y) + 2*z(y). 2*y**2 Let m(i) = -8*i + 2. Let j(h) = -h. Calculate 4*j(n) - m(n). 4*n - 2 Let r = 155 + -153. Let n(t) = t + 1. Let a(b) = -6*b - 6. Determine r*a(g) + 10*n(g). -2*g - 2 Let l(k) = 221*k + 51. Let t(p) = 17*p + 4. Calculate 4*l(h) - 51*t(h). 17*h Let k(g) = -5*g + 9. Let f(h) = h - 2. Suppose 3*p = -c + 2*c + 10, 4*p = 4*c + 24. Calculate c*k(o) - 18*f(o). 2*o Let w(x) = -3*x - 1. Let j be w(-1). Suppose j*h = 2 - 8. Let y(u) = -4*u + 1. Let g(z) = 3*z - 1. Determine h*g(a) - 2*y(a). -a + 1 Let z(m) = 2*m**3 + 7*m - 7. Let a(f) = 2*f + 3. Let t be a(-5). Let n(u) = -4 + 15*u + u**3 + 0 - 11*u. What is t*n(j) + 4*z(j)? j**3 Suppose 4*p = -4*n + 4, n + 32 = 6*n - 4*p. Let c(k) = 17*k**3 + 14*k**2 + 14. Let h(f) = 6*f**3 + 5*f**2 + 5. What is n*c(q) - 11*h(q)? 2*q**3 + q**2 + 1 Let v(c) = 3*c - 2 - 1 - 4*c. Let h(r) = 5*r - 22. Let u(i) = -2*i + 7. Let w(z) = -6*h(z) - 17*u(z). Suppose m + 4*m = 130. Calculate m*v(k) + 6*w(k). -2*k Let u(i) = -1. Let s(a) = -a + 9. Determine s(v) + 6*u(v). -v + 3 Let k(t) = 135*t**3 - 11*t**2 - 11*t - 11. Let l(m) = -27*m**3 + 2*m**2 + 2*m + 2. Calculate 2*k(c) + 11*l(c). -27*c**3 Let n(m) = 208*m - 56. Let i(h) = -11*h + 3. Calculate 112*i(u) + 6*n(u). 16*u Let o(g) = 6 - 2 - 3*g + 2*g. Let y(n) = -11. Let c(b) = -3 + 0 - 3. Let s(u) = 7*c(u) - 4*y(u). What is 2*o(j) - 4*s(j)? -2*j Let g(f) = -2*f + 1. Suppose 14 = -4*p + 26. Let w(z) = -4*z + 2. Give p*w(x) - 5*g(x). -2*x + 1 Let g(s) = 4*s + 2. Let t(n) = -9*n - 4. Let r = -15 + 28. Give r*g(v) + 6*t(v). -2*v + 2 Let m(t) = 15*t + 4. Let o(l) = 31*l + 9. Calculate 5*m(x) - 2*o(x). 13*x + 2 Let s(b) = -111*b**2 + 5*b + 5. Let d(q) = 111*q**2 - 6*q - 6. What is -5*d(y) - 6*s(y)? 111*y**2 Let p(x) = -4*x**2 - 3*x + 5. Let s(t) = t**2 + t - 1. Let h be 1/5 - 12/(-15). What is h*p(g) + 5*s(g)? g**2 + 2*g Let d(q) = -q**3 - q. Let k(n) = -n**3 - 11*n**2 - 3*n. Determine -3*d(u) + k(u). 2*u**3 - 11*u**2 Let l(z) be the first derivative of -z**4/2 + 5*z**3 + 11*z**2/2 - 4*z + 65. Let d(h) = -h**3 + 8*h**2 + 6*h - 2. Calculate -11*d(i) + 6*l(i). -i**3 + 2*i**2 - 2 Let f(d) = 3*d**2 + 2*d - 2. Let h be f(-2). Suppose h*w - 2*w + 24 = 0. Let a(y) = 2*y**2 + 6*y. Let g(r) = -3*r**2 - 7*r. Calculate w*a(c) - 5*g(c). 3*c**2 - c Let k(u) = -3*u + 2*u + 22 - 22. Let s(g) = g - 1. Determine 5*k(m) + 2*s(m). -3*m - 2 Let u(l) = 5*l. Let q = 14 - 6. Suppose 0*f + 4*f = q. Let t(p) = 2 + 3*p - f - 2*p. What is 6*t(k) - u(k)? k Let r(u) = 2*u**3 - 5*u**2 + 8*u + 6. Let s(x) = -2*x**3 + 4*x**2 - 7*x - 5. Give 5*r(j) + 6*s(j). -2*j**3 - j**2 - 2*j Let x(t) = 2*t - 1. Let g(v) = 8*v + 7*v - 16*v + 1. What is 3*g(y) + 3*x(y)? 3*y Let t(c) = -c + 1. Let o(s) = 11. Let g(a) = 4. Let l(z) = 8*g(z) - 3*o(z). What is l(q) + 2*t(q)? -2*q + 1 Let z(p) = -10*p**2 + 3*p - 3. Let n(f) = 11*f**2 - 2*f + 2. Determine 3*n(v) + 2*z(v). 13*v**2 Let r(g) = 74*g - 20. Let z(b) = -25*b + 7. Give 6*r(t) + 17*z(t). 19*t - 1 Suppose -3*m + 4*m + 6 = 0. Let i(a) = a + 1. Let c(d) = -2*d**3 - 6*d - 5. Give m*i(h) - c(h). 2*h**3 - 1 Let o(l) = 3*l**3 - 8. Let r be (-43)/(-5) - 15/25. Let w(g) = 2*g**3 - 5. Determine r*w(j) - 5*o(j). j**3 Let t(z) be the third derivative of z**4/8 - z**2. Let h(p) = 9 + 4*p - 9. Calculate 4*h(d) - 6*t(d). -2*d Suppose 3*j - 25 + 7 = 0. Let r(m) = 2 + 2*m**2 + 0*m + 5*m + 4. Let b(i) = 2*i**2 + 6*i + 7. Calculate j*r(z) - 5*b(z). 2*z**2 + 1 Let d(n) = -3*n**3 - 3*n**2 + 17*n + 8. Let w(b) = b**3 + b**2 - 6*b - 3. Give 3*d(c) + 8*w(c). -c**3 - c**2 + 3*c Let a(g) = 0 + 0 + 1 + g**3. Let j be ((-1)/(-8))/((-2)/(-16)). Let t(l) = 4*l**3 - l + 5. Determine j*t(h) - 5*a(h). -h**3 - h Let v(r) = 5*r**2 - 8*r + 6. Let g = -11 + 6. Let y(k) = 4*k**2 - 7*k + 5. Suppose 5*z - 2*u = 28, -3*u + 3 = z - 6*u. Calculate g*v(q) + z*y(q). -q**2 - 2*q Let q(m) = -m + 3. Let f(u) = -2*u + 2. Calculate 4*f(r) - 5*q(r). -3*r - 7 Let m be (-3 + 0 + 3)/1. Let c(l) = 4 - 14*l + m*l**3 + 7*l + 3 + l**3. Let u(v) = 3*v - 3. Calculate 2*c(g) + 5*u(g). 2*g**3 + g - 1 Let i(p) be the second derivative of -3*p**3/2 + 3*p**2 + p. Let x(u) = -17*u + 11. Suppose 56 - 1 = -5*j. Determine j*i(t) + 6*x(t). -3*t Let c(d) = 3*d - 1. Suppose 4*b = 5*r + 21, 0 = 2*r - b - 2*b + 14. Let v(z) = z. Let h = 4 - 1. Let y be 3*h/27*6. Give r*c(p) + y*v(p). -p + 1 Let n(d) = -d + 1. Let b(a) = 2*a**2 - 2*a + 1. Let x be b(1). Let m(l) = 3 + 3*l + 2*l - 8*l. Give x*m(g) - 2*n(g). -g + 1 Let i(b) = 2 + b + 1 - 9 - b**2. Let o(x) be the third derivative of -x**5/60 + x**4/24 - 7*x**3/6 + 4*x**2. What is -5*i(j) + 4*o(j)? j**2 - j + 2 Let s(v) = -2*v**3 + 3*v**2 + 2. Let a(i) = 3*i**3 - 5*i**2 - 4. Let k = 23 - 26. What is k*a(q) - 5*s(q)? q**3 + 2 Suppose 0*h - 2*z = 2*h, 3*h = z - 12. Let b(p) = p. Let u(a) = 13*a - 5. Let d(n) = 7*n - 3. Let m(x) = 5*d(x) - 3*u(x). Calculate h*b(q) - m(q). q Let a be 60/48 - (-2)/(-8). Let s(q) = -25*q. Let t(k) = -k. Calculate a*s(f) - 30*t(f). 5*f Let d(z) = 5*z**3 - 7*z**2 - 23*z + 7. Let h(u) = -3*u**3 + 4*u**2 + 12*u - 4. Calculate -4*d(y) - 7*h(y). y**3 + 8*y Let g(d) = 2. Let z(j) = -j - 15. What is 14*g(s) + 2*z(s)? -2*s - 2 Let g(s) = s**2. Let x(w) = -5*w**2. Let m(u) = -9*g(u) - 2*x(u). Let y(n) = 8*n - 8*n + 6*n**2. Let q be -6 + (0/1 - -1). What is q*m(z) + y(z)? z**2 Let q(h) = h**2 + h - 9 - h + 11. Let w(c) = -1. What is 2*q(p) + 5*w(p)? 2*p**2 - 1 Let d(a) = 20*a + 8. Let q(r) = 7*r + 3. Suppose 2*v - 28 = 4*v. Calculate v*q(m) + 5*d(m). 2*m - 2 Let u(f) = 509*f**3 - 11*f**2 + 5*f. Let r(j) = 102*j**3 - 2*j**2 + j. Calculate 11*r(q) - 2*u(q). 104*q**3 + q Let k(m) be the second derivative of 5*m**4/6 + 11*m**3/3 + 3*m**2 - 13*m. Let f(h) = 3*h**2 + 7*h + 2. Calculate -16*f(w) + 5*k(w). 2*w**2 - 2*w - 2 Let b = 3 - 2. Let x(p) = -b + 0 + 7*p - 7. Let u(f) = -14*f - 1 + 6 - f + 12. Determine -6*u(o) - 13*x(o). -o + 2 Suppose -2*t - 11 = -33. Suppose -l + 3*i + t = 5*i, -l = -i + 1. Let o(v) = -v + 3. Let g(s) = s - 2. Give l*g(r) + 2*o(r). r Let u(w) = 5*w**3 + 6*w**2 - 2*w. Let c(a) = 6*a**3 + 5*a**2 - 2*a. Determine 6*c(m) - 5*u(m). 11*m**3 - 2*m Let z(k) = -41*k**3 + 4*k. Let u(r) = -780*r**3 + 75*r. Determine 4*u(m) - 75*z(m). -45*m**3 Let o(m) = m + 2. Suppose v + 11 = 4. Let d(n) = 3*n + 3 + 4*n - 4*n + 3. Determine v*o(c) + 2*d(c). -c - 2 Let d(l) = -2*l + 4. Suppose 3*a + 3 = -3*h - 9, 0 = 5*a - 5. Let v(p) = -2*p + 5. Calculate h*v(k) + 6*d(k). -2*k - 1 Suppose -y + 0*s + 1 = 4*s, -6 = -2*y - 4*s. Let b(o) = -7*o**2 + o - 9. Let w(g) = -4*g**2 + g - 5. Determine y*
{ "pile_set_name": "DM Mathematics" }
o - 32, -90*j = -88*j - 4*o + 12 for j. 4 Solve 149 = 4*d - 4*n + 189, 3*d = -4*n + 12 for d. -4 Solve 75*i - 70*i + h = 8, -i - h = 0 for i. 2 Solve 962*t = 961*t - 5*o - 16, -o = -13*t - 76 for t. -6 Solve -6*q + 4 = -16*q + 7*q + 4*i, 0*q = -2*q + 2*i for q. 4 Solve -4*c - 8 = 4*v, 31*v + 8 = 53*v - 4*c for v. 0 Solve -2*j = -5*u - 37, -23*j - 3*u = -10 + 8 for j. 1 Solve p - 6 = 0, -117*o = -121*o + 5*p - 46 for o. -4 Solve 0*k + 19 = k + 5*x, 4*x - 698 = 4*k - 702 for k. 4 Solve -q - 2*q + 51 = 2*b - 1, 0 = -2*q + 4 for b. 23 Solve 4*d = 2*g + 10, 170 - 111 = 20*d - g for d. 3 Solve 55*b - 53*b - 22 = -o, -3*o + 4*b = -16 for o. 12 Solve -2*c - 5*t = -11, -t - 61 + 35 = -9*c for c. 3 Solve 57*i + 69*i = 121*i - 5, -5*i + 1 = -3*b for b. -2 Solve -s + 7 = -2*m - 10, 45 = 5*s - 2*m for s. 7 Solve 391*y + 4*t - 3 = 386*y, 4*y - 3*t - 21 = 0 for y. 3 Solve 2*g = -3*n - 54 + 51, -9 = -g + 2*n for g. 3 Solve -621*d - n = -617*d - 7, 5 = 2*d + n for d. 1 Solve -94*i + 97*i = 5*w - 35, w - i = 9 for w. 4 Solve -422 = y - 4*q - 372, 5*q - 61 = 2*y for y. 2 Solve 0 = 2*j + 2, 0 = 4*a + 218*j - 223*j + 3 for a. -2 Solve -4*x = g + 8, 2*g - 1218 + 1230 = -4*x for x. -1 Solve -5*d + 2*b = b + 30, 2*d + 12 = 41*b for d. -6 Solve 3*s + 5*n = -89, -47*n - 11 = 4*s - 46*n for s. 2 Solve 5*h + 35 = 9*p, -19*h + 24*h - 5 = p for h. 2 Solve -53 = -5*w + l, 0 = 27*w - 24*w - 4*l - 42 for w. 10 Solve 0 = -3*d + q + 5, -74*d = -79*d + 5*q + 35 for d. -1 Solve -3*l + 33 = s - 8*l, 0 = 5*s - 4*l - 18 for s. -2 Solve 5*r = -j + 9, 5*r + 0 = 13*j - 19*j + 4 for r. 2 Solve -5*m - 4*w + 15 = -9*w, 5*m = -2*w - 20 for m. -2 Solve -84 = 8*m - 4*w, 3*m + 5*w = 48 + 44 for m. -1 Solve 0 = -2*q - 5*v + 7, -2*q = -3*v - 2 + 3 for q. 1 Solve 2*m + 10 = -3*s + 3 + 2, 5*s + 5*m + 5 = 0 for s. -3 Solve 3*f + 5*n = -85, 0 = -37*f + 34*f - n - 65 for f. -20 Solve 3*d + 0 = 4*i + 7 - 21, 0 = -3*i + 6 for d. -2 Solve -10 = 3*z - 4*s, -532 + 579 = -18*z - 7*z - 3*s for z. -2 Solve -5*z = -347*c + 344*c + 7, 4*z - 3*c + 5 = 0 for z. -2 Solve 4*p + 3*j + 47 = 18, 0 = 3*j + 9 for p. -5 Solve 31 = -w - 5*s + 22, -5*w - 22 = 2*s for w. -4 Solve 1 = 257*z - 256*z + q, z + 4*q + 11 = 0 for z. 5 Solve -3*q - 813*d + 815*d - 43 = 0, 4*q + 5*d = -19 for q. -11 Solve -i + s = 169 - 175, 3*s = 5*i - 24 for i. 3 Solve -281*l + 277*l = 3*w + 44, 2*w = l + 22 for l. -14 Solve -d + 5*q = -28, -5*d + 253 - 263 = 5*q for d. 3 Solve -2*y + 10 = 2*l, 3*l - 1224 = 2*y + y - 1239 for y. 5 Solve 5*t - 85 = -3*i - 66, 2*t - 20 = 5*i for i. -2 Solve 6*d - 269 = 5*n - 260, -5*d - 11 = 2*n for n. -3 Solve -4*p = 2*z - 8, -341*p + 328 = -77*z - 336*p for z. -4 Solve 4*i + 24 = 0, -477*y + 15 = -478*y - 2*i for y. -3 Solve 0 = 5*t + 7*p - 3, -13 + 0 = -6*t + 2*t + 5*p for t. 2 Solve -124 = -4*t + 4*y - 100, -5*y = 25 for t. 1 Solve -m = i, 65 = 3*m + i + 67 for m. -1 Solve 3*v = 12, 4*k - 41*v + 112 = -4*v for k. 9 Solve 0 = -4*w + 13*q - 31, -w = -4*q - 34 + 44 for w. 2 Solve -15 = 2*c - 125*q + 126*q, -c - 3 = 2*q for c. -9 Solve 4*o - 5*l + 25 = 0, 2*l = 810*o - 816*o + 10 for o. 0 Solve -27608*m + 27613*m = -o + 21, -o - 2*m + 9 = 0 for o. 1 Solve -4*b + 3 = -4*a + 27, -2*b + a - 10 = 0 for b. -4 Solve -16 = 4*a - 4*g - 28, -5*a = 2*g + 20 for a. -2 Solve 5*y - 2*x - 36 = -41, 0 = x + 5 for y. -3 Solve 136 = -22*y + 4*j, -5*y - j = -2*j + 31 for y. -6 Solve -4*z - g - 19 = 0, z + 10*g = 27*g + 185 for z. -2 Solve 0 = -4*u - 4*b + 20, -8453*u + 8458*u - 25 = -3*b for u. 5 Solve -2*a = u + 25, -3*u + 12*a - 13*a = 10 for u. 1 Solve -3*y + 473 = -2*j + 486, 274 = 140*j + 2*y for j. 2 Solve 9*d + 7*d + 5*r - 128 = 0, d - 8 = 5*r for d. 8 Solve -4*r - 5*l - 7 = 0, 2*r + l + 14 = -3*r for r. -3 Solve 2*n - 22 = -4*d, -4*d + 8*n = 12*n - 36 for d. 2 Solve 4*a - 12 = -h, -24698*a + h = -24703*a + 13 for a. 1 Solve -2*l = -4*k - 10, 12*k - 21 = 9*k - 8*l for k. -1 Solve -690*m = -691*m - 2*l + 3, -4*m - 4*l = 4 for m. -5 Solve -3*r = -23*m - 10, 2*m - 19*r = -22*r - 40 for m. -2 Solve -4 = 5*p - 9*p, -4 = 5*f - 11*p + 12*p for f. -1 Solve -2*u + 26*q - 66 = 0, -246 + 273 = -3*u + 3*q for u. -7 Solve 0 = 4*g - 2*a - 22, -5*g + 69 = -2*a + 41 for g. 6 Solve -m = -4*h - 19, -141 + 124 = 2*m + 3*h for m. -1 Solve 12*o + 3*z - 13 = -2*o, 2*o - 3*z - 19 = 0 for o. 2 Solve -3*w + 35 = -4*r, 0 = -3*r + w - 5 - 10 for r. -2 Solve -10*n = -4*k - 79 + 75, k + 31 = -5*n for n. -4 Solve 5*k - 13 + 64 = 26, r = -0*r - 9*k - 41 for r. 4 Solve -12 = 2*i + 230*d - 225*d, 4*d = -5*i - 13 for i. -1 Solve 4*g - 16 = -4*n, -20*g - 3 = -23*g for n. 3 Solve -390*x - 3*w = -388*x + 3, w = 4*x - 15 for x. 3 Solve 98*a - 18 - 7 = -4*s + 97*a, 0 = -4*s + a + 15 for s. 5 Solve -34*o - 16 = -3*j - 68, o + 29 = -5*j for o. 1 Solve -18*w - 2*p = 162, -2*p = -5*w + 2*p - 45 for w. -9 Solve 3*i - 5*q = 89 - 45, 0 = i + q - 12 for i. 13 Solve 4*u + 21 = -4*m + 53, 61 - 53 = 2*u for m. 4 Solve 41*s - 44*s + 15 = 0, -27 = 3*p - 3*s for p. -4 Solve 3*j + 5 = -5*n, -53*j + 311 - 38 = -2*n for j. 5 Solve 0 = 2*h - 3*g - 27, -4*h - 2*g - 306 = -272 for h. -3 Solve -w + 4*i = 7*i - 7, 2*i - 5 = -w for w. 1 Solve 401*y - 404*y + p = 1, -y - p + 17 = 0 for y. 4 Solve y = 5*p, 0 = y + 3*p - 48 + 40 for y. 5 Solve -4*j + z - 25 = 0, 110*j - 109*j = -z for j. -5 Solve -h + 4*o + 32 = 18, 0 = -24*h - 2*o + 336 for h. 14 Solve v = -4*s, -5*v = -2303*s + 2304*s - 19 for s. -1 Solve 5*d + 36*g = 35*g - 20, 5*d = 2*g - 20 for d. -4 Solve 0 = -2*p + 834*k - 831*k + 17, -4*p = 4*k + 16 for p. 1 Solve 48 = 5*q + 3*w + 55, -3*q + 4*w = 10 for q. -2 Solve 4*b + 17 = 9*b + 4*s, 0 = -3*b + 2*s + 19 for b. 5 Solve 112*f - 117*f + 20 = 2*u, 0 = 5*f - 2*u - 20 for f. 4 Solve 39*d - 2*i + 2 = 41*d, -5*d + 5*i = -5 for d. 1 Solve 115*s + 26 = 113*s - 2*b, 0 = s - 5*b - 17 for s. -8 Solve -2*a + 2*d - 14 = 0, -84 = 3*a - 4*d - 61 for a. -5 Solve -5*z - 14*x + 2 = -11*x, 14 = z + 4*x for z. -2 Solve 5*i = p + 52 - 77, 55 = 3*p - 5*i for p. 15 Solve -3*x = -q + 8, -598*x - 11 = -596*x + 5*q for x. -3 Solve 30 = -26*p + 2*f - 3*f, 1 = -4*f - 15 for p. -1 Solve 0 = 2*c - 6, c - 11 = 45*a - 41*a for a. -2 Solve 2*t + 4*v = -28, 13*t - 9*t - 4*v - 4 = 0 for t. -4 Solve 4*f + 6 - 8 = -4*i + 55 + 23, -4*f = 0 for i. 20 Solve -96*a + 15 = -5*v - 101*a, 4*v = -a + 3 for v. 2 Solve -t + 20 = 2*a, 2*a - 800 = 5*t - 792 for t. 2 Solve -4*j = -8, -151*j + 26 = 5*s - 153*j for s. 6 Solve 8*l - 2*b + 30 = 0, -60*l = -59*l - 7*b + 24 for l. -3 Solve 4*r = 2*n + 22 - 10, 51 = 17*r - 5*n for r. 3 Solve 6 = -198*k + 193*k - 3*n, 3*k + 3 = -2*n for k. -3 Solve 4*t - 26*i - 56 = -30*i, 4*t - i - 11 = 0 for t. 5 Solve -3*k - z - 4*z = 28, -7*z - 32 = -3*k for k. -1 Solve 0 = 5*p + 39679*r - 39680*r + 11, -3*p - 4 = 2*r for p. -2 Solve -56*b = -55*b - 3*u + 3, u + 7 = 3*b for b. 3 Solve 3*p = 3*q + 24, 67*q - 66*q + 4 = 3*p for p. -2 Solve -i + 33 - 38 = 0, -2*d - i = -0*i - 23 for d. 14 Solve 2*j - 2 = -3*m, -6 = 149*j - 151*j - 2*m for j. 7 Solve 117*p - 115*p = g + 7, -5*g - 4*p - 35 = 0 for g. -7 Solve n = 2*x + 29, 2*n - 2*x = 193 - 169 for n. -5 Solve -173*s + 2*w + 1 = -177*s - 13, 0 = s - w - 4 for s. -1 Solve -4*j - 370 = -2*y - 364, 0 = -5*y - 25 for j. -4 Solve 14*s + 3*v = 88, 28*s + 3*v + 2 = 32*s for s. 5 Solve -4*o + 4*n + 1789 - 1809 = 0, o - 3 = -3*n for o. -3 Solve 285*i - 2*z - 22 = 289*i, 146 = -17*i + 2*z for i. -8 Solve -4 = -4*i, i + 22 - 19 = -2*k for k. -2 Solve -2*a + 3*s = 28, 26*s - 24*s - 8 = -4*a for a. -2 Solve -5*p - 3*w - 487 + 473 = 0, -4*p = w + 7 for p. -1 Solve 2*y + 541*d = 536*d + 22, 4 = d for y. 1 Solve -w - 938*d + 937*d + 10 = 0, -w + 2*d - 17 = 0 for w. 1 Solve 2*r - 39 = o - 64, o - 35 = 3*r for r. -10 Solve 0 = 4*r + 12, -66*r + 64*r + 48 = 2*k - 5*k for k. -18 Solve 3*l - 5*v = -355 + 310, -2*l = -2*v + 18 for l. 0 Solve -3*s - 85 = z - 105, 0 = s - z for s. 5 Solve 4*b = -2*i - 60, -2*b = -39*i + 41*i + 52 for b. -4 Solve 0 = -5*a - 6*r - 28, -3*r - 12 + 5 = -a for a. -2 Solve 2*h = -q + 23, q + 4209 - 4204 = 5*h for q. 15 Solve 8*d - 5*v - 52 = 0, 2*v + 23 + 1 = 4*d for d. 4 Solve 1532*o = 1533*o - 3*p - 36, -3*p = o + 30 for o. 3 Solve -p + 5*p - 112 = -4*s - 124, -2*s + 6*p = 6 for s. -3 Solve -284*c + 4*x = -283*c - 10, -3*c + 12 = -3*x for c. 2
{ "pile_set_name": "DM Mathematics" }
364, -114729, -172094, -229459, -286824, -344189? -401554 What is the next term in 73, 8, -107, -278, -511? -812 What comes next: 2202, 8626, 19334, 34326? 53602 What comes next: -22871, -22693, -22517, -22343? -22171 What is next in 73, -188, -881, -2222, -4427, -7712, -12293, -18386? -26207 What is next in -52, -25, 28, 119, 260, 463, 740? 1103 What comes next: -18246, -72954, -164128, -291762, -455850, -656386, -893364? -1166778 What comes next: -873, -6987, -23583, -55899, -109173, -188643, -299547, -447123? -636609 What comes next: -155355, -310731, -466107, -621483? -776859 What comes next: 479, 483, 491, 503, 519, 539, 563? 591 What comes next: 27452, 27443, 27430, 27413, 27392? 27367 What comes next: 7132, 6851, 6570, 6289, 6008, 5727? 5446 What is the next term in -751613, -751612, -751611, -751610, -751609, -751608? -751607 What is the next term in -475, -427, -317, -115, 209, 685? 1343 What is next in -3759, -7453, -11147, -14841, -18535? -22229 What comes next: -267, -353, -489, -669, -887, -1137? -1413 What is the next term in -152916, -305831, -458748, -611667? -764588 What is next in -329, -1485, -4319, -9671, -18381, -31289? -49235 What is next in 2515, 2528, 2557, 2608, 2687? 2800 What comes next: 6822, 6824, 6824, 6822? 6818 What is the next term in 604000, 1207999, 1811998, 2415997, 3019996? 3623995 What is the next term in 35822, 71640, 107460, 143282, 179106? 214932 What is the next term in 11980, 95699, 322936, 765451, 1495004, 2583355? 4102264 What is next in 261814, 261815, 261816, 261817, 261818? 261819 What comes next: -94558, -378240, -851050, -1512994, -2364078, -3404308? -4633690 What comes next: 1408, 1398, 1388, 1378, 1368, 1358? 1348 What is the next term in 193, 1019, 2405, 4357, 6881, 9983, 13669, 17945? 22817 What is next in 2825, 10740, 23933, 42404, 66153, 95180? 129485 What is next in -129785, -129784, -129783, -129782, -129781? -129780 What is the next term in -2864, -5744, -8622, -11498, -14372, -17244, -20114? -22982 What comes next: -2170, -2175, -2190, -2221, -2274? -2355 What comes next: 2293, 4602, 6911? 9220 What comes next: 548, 888, 1248, 1634, 2052? 2508 What is next in 162090, 162091, 162094, 162099, 162106? 162115 What is next in -1551, -2996, -4441, -5886? -7331 What is the next term in -387649, -387651, -387651, -387649, -387645, -387639, -387631? -387621 What is next in 143, 1095, 3657, 8633, 16827, 29043? 46085 What comes next: 6893, 13770, 20647, 27524, 34401? 41278 What comes next: -3459, -3462, -3465, -3468? -3471 What is next in -129, -189, -357, -687, -1233, -2049, -3189? -4707 What is next in 184879, 184883, 184887, 184891? 184895 What is next in 189, 1761, 3333, 4905, 6477? 8049 What is the next term in 2798, 11219, 25250, 44885, 70118, 100943? 137354 What comes next: 305896, 305897, 305898? 305899 What is the next term in 552, 535, 496, 429, 328, 187? 0 What is the next term in -163359, -326720, -490081, -653442, -816803, -980164? -1143525 What is the next term in -212, -874, -2002, -3596? -5656 What is next in -1068, -1309, -1710, -2271? -2992 What is next in 10391, 10473, 10555, 10637? 10719 What comes next: 14173, 14174, 14175? 14176 What is the next term in -377490, -377503, -377516, -377529, -377542, -377555? -377568 What comes next: -398, -1529, -3422, -6089, -9542? -13793 What is next in 25504, 25287, 24700, 23557, 21672, 18859, 14932? 9705 What comes next: -663822, -1327644, -1991466, -2655288? -3319110 What is the next term in 13384, 53514, 120398, 214036? 334428 What is the next term in -363, -81, 199, 477? 753 What is next in -2416, -9505, -21318, -37855, -59116, -85101, -115810? -151243 What is the next term in 2178, 553, -1074, -2703, -4334, -5967? -7602 What is next in -8, 158, 726, 1936, 4028, 7242, 11818? 17996 What is the next term in 10, 5, -14, -47, -94? -155 What is next in 58, 662, 2360, 5698, 11222? 19478 What is next in 1195, 2170, 3145, 4120, 5095, 6070? 7045 What is the next term in 3961, 7892, 11821, 15748? 19673 What is the next term in -56, -337, -832, -1541? -2464 What is next in -288, -305, -328, -357, -392? -433 What is the next term in 718, 990, 1442, 2074, 2886? 3878 What is next in 275, 346, 417, 488? 559 What comes next: 1504, 3170, 4836, 6502? 8168 What is the next term in -253, -482, -711, -940, -1169, -1398? -1627 What comes next: -11533, -23190, -34847, -46504? -58161 What comes next: 7926, 15880, 23866, 31896, 39982, 48136? 56370 What comes next: 598, 1035, 1474, 1915, 2358? 2803 What comes next: -43280, -173106, -389476, -692384, -1081824, -1557790? -2120276 What comes next: -1712, -3383, -4956, -6383, -7616, -8607, -9308, -9671? -9648 What is next in 297, 523, 667, 687, 541, 187? -417 What is next in -216, -353, -494, -639, -788, -941? -1098 What is the next term in 391, 1821, 4205, 7543, 11835, 17081? 23281 What is the next term in 108032, 108032, 108034, 108038? 108044 What is the next term in -992, -959, -904, -827, -728? -607 What comes next: 806, 6106, 20482, 48476, 94630, 163486? 259586 What comes next: -48509, -48512, -48515, -48518? -48521 What comes next: -4854, -4790, -4606, -4242, -3638? -2734 What is next in -1671556, -1671558, -1671562, -1671568, -1671576, -1671586, -1671598? -1671612 What is next in -7201, -14394, -21611, -28864, -36165, -43526, -50959, -58476? -66089 What is next in 33400, 33397, 33394, 33391, 33388, 33385? 33382 What is the next term in -279, -1280, -3997, -9288, -18011, -31024, -49185? -73352 What is next in 4938, 4945, 4954, 4965? 4978 What is next in -4445, -4344, -4243? -4142 What is the next term in 8980, 17946, 26912? 35878 What is next in 19994, 40007, 60020, 80033? 100046 What is next in 4354, 8798, 13242, 17686, 22130, 26574? 31018 What is next in -2382, -2204, -2004, -1770, -1490, -1152, -744, -254? 330 What comes next: -13796, -13804, -13812? -13820 What is the next term in 897, 993, 1097, 1215, 1353? 1517 What is the next term in 40680, 40666, 40646, 40620, 40588, 40550? 40506 What is the next term in -9813549, -9813551, -9813553, -9813555, -9813557? -9813559 What comes next: -9449, -9394, -9339, -9284, -9229, -9174? -9119 What comes next: -2423, -9365, -20825, -36803, -57299, -82313? -111845 What is the next term in -270, -468, -590, -630, -582, -440, -198? 150 What is next in 123, 265, 475, 753, 1099? 1513 What is the next term in 1031, 2052, 3053, 4034, 4995, 5936, 6857? 7758 What is the next term in 46622, 93247, 139874, 186503, 233134, 279767? 326402 What comes next: -1340, -2390, -3146, -3608, -3776, -3650, -3230? -2516 What is the next term in 133, 1078, 2653, 4858, 7693? 11158 What comes next: -69, -166, -291, -444, -625, -834? -1071 What is the next term in -784, -2672, -5818, -10222, -15884? -22804 What is next in -3510, -3543, -3576, -3609? -3642 What is next in 300197, 600368, 900527, 1200668, 1500785, 1800872, 2100923? 2400932 What is next in 148, 835, 2640, 6121, 11836? 20343 What is next in -65, 21, 107, 193, 279? 365 What is next in 59, 218, 469, 806, 1223, 1714, 2273, 2894? 3571 What is the next term in 85, 748, 2547, 6052, 11833? 20460 What is the next term in -208, -22, 562, 1550, 2948, 4762, 6998? 9662 What is next in -19, 49, 199, 455, 841, 1381, 2099? 3019 What is the next term in -219, -249, -349, -555, -903? -1429 What comes next: 7038, 13156, 19274, 25392, 31510? 37628 What comes next: 202, 228, 274, 340? 426 What comes next: 14199855, 14199856, 14199857? 14199858 What is next in -1690278, -1690280, -1690282, -1690284, -1690286, -1690288? -1690290 What is the next term in -88163, -88166, -88171, -88178? -88187 What is next in -22113, -22120, -22127, -22134? -22141 What comes next: 584, 2329, 5236, 9305, 14536, 20929? 28484 What is the next term in 927727, 1855456, 2783185, 3710914, 4638643, 5566372? 6494101 What is the next term in 217, 903, 2035, 3601, 5589, 7987, 10783, 13965? 17521 What is next in -2117, -8444, -18989, -33752, -52733, -75932? -103349 What is next in -11624, -23250, -34876? -46502 What comes next: 12, 262, 680, 1266? 2020 What is next in -42, -240, -592, -1098, -1758, -2572? -3540 What comes next: -147, -141, -111, -45, 69, 243, 489, 819? 1245 What is the next term in -60, -152, -316, -588, -1004? -1600 What comes next: 540690, 1081382, 1622074, 21
{ "pile_set_name": "DM Mathematics" }
4). Which is smaller: 68/23 or o? o Let r be -2*((-8)/6 + 2). Let i = -9/20 + 1/5. Which is smaller: r or i? r Suppose 0 = 3*f + 5*t - 1 + 7, 4*f - 5*t = -8. Suppose 3*j + 3 = 0, 3*n + j - 14 = 60. Suppose l + 5*u = -n, -l + 1 = -u - 4. Is l <= f? False Suppose 22*o + 39 - 39 = 0. Is 2/1139 not equal to o? True Let v(m) = 2*m**3 - 19*m**2 + 14*m - 15. Let q be v(9). Let d = q + -26. Is 11/4 at least d? False Let f = 16.15 + -10.7. Let g = f + -6. Which is bigger: 1 or g? 1 Let z = 1 - 2. Let f(y) = -y**2 - 6*y + 3. Let x be f(-6). Suppose 2*m = 6, 5*v + 5 = v + x*m. Which is greater: z or v? v Let m(p) = -1. Let d(v) = -2*v**2 + 12*v - 12. Let s(z) = d(z) - 3*m(z). Let n(g) = -g**2 - 10*g - 10. Let h be n(-8). Let k be s(h). Is k at least -9? True Let o be (-2 - -5)/((-57)/(-361)). Are 21 and o non-equal? True Let z(d) = 5*d**2 + 4*d. Let k be z(-3). Suppose -25*i + 9*i = -512. Which is bigger: i or k? k Suppose -5*j + 5*s + 611 = 8*s, 0 = 4*j + s - 486. Do j and 1 have different values? True Let w = -687 + 688. Is w greater than 4.3? False Suppose -12*i + 3926 = -3610. Is 628 at most i? True Let q(m) = -m**3 - 7*m**2 - 8*m - 8. Let x be q(-6). Let l be (-4 - (-6 - -3))/(x/9). Is l at least -2/7? False Suppose 43 = 13*d + 745. Is d smaller than -2/3? True Let j = -460 + 461. Let r be 46/(-112) - 8/(-28). Which is bigger: r or j? j Suppose -4*f - 1 = -5*f. Suppose -b = z + b - 5, -2*z - b + f = 0. Which is smaller: z or -8? -8 Let k = -451 - -559. Is 1 smaller than k? True Let q(y) = -y + 9. Let n be q(0). Let k be -58 + (12/(-9))/((-3)/n). Is -54 at least k? True Suppose 3*l - 276 + 2154 = -5*j, -j - 628 = l. Is -631 at most as big as l? True Let a = -1954 + 7603/4. Which is smaller: a or -54? -54 Let b = 0.78 - 0.08. Let h = 0.3 + b. Which is smaller: h or -6? -6 Let j = -23450 - -164558/7. Let y = 59 - j. Which is greater: y or 2? 2 Suppose -5 = 18*d - 23. Let k be -2 + 2 + -2*1. Let n be k/7 + 24/21. Which is bigger: d or n? d Let h = -531/2 + 1257/4. Is 48 != h? True Let t = -1323 - -1153. Which is smaller: t or -2? t Let n = -85 - -85.81. Let s = n + -0.8. Let h = 143 + -1861/13. Which is smaller: h or s? h Let k = 747.969 + -749. Let b = k + 0.031. Suppose -2*z + 2*o + 10 = 0, 3*z - 2*o = 14 + 1. Which is smaller: b or z? b Let h = -34 - -37. Suppose -h*a + 2*a - 1 = 0. Which is smaller: a or -16/11? -16/11 Let w = -262 - -1826/7. Let c(j) = -4*j - 46. Let u be c(-11). Which is smaller: u or w? u Let t = -4 + 3. Let d = -321355 + 3531530/11. Let g = 307 + d. Is t smaller than g? True Let x = -2 + 1. Let a be 1/(2 + 162/(-82)). Let c = 42 - a. Which is greater: c or x? c Let a = -25 + 47. Let q = -20 + a. Let l be 155/420 + q/(-7). Is 1 bigger than l? True Suppose -t - 2 = 3*q, 2*t + 5*q - 1 = -3. Suppose 12 = -k + t*k. Suppose -k*b = -0*b. Is b at least as big as -4/13? True Let k = 4.67 - -64.33. Which is bigger: -9 or k? k Suppose -23*j + 4725 = -8*j. Which is smaller: 314 or j? 314 Let t = 136438/65 - 10466/5. Let n = 364/5 + -4382/65. Let d = n - t. Is d greater than or equal to 0.1? False Suppose 3*c + c - w - 59 = 0, 0 = 5*w - 25. Which is greater: c or 15? c Let w = -715 - -418. Let o be 12/(-10)*w/195. Let j = o + -38/25. Is j less than or equal to -1? False Suppose 11890 = 122*b - 40*b. Is b >= 145? True Let h be 4/(-2)*-176*(-6)/36. Let u = h - -58. Is u at least -65? True Suppose 3*p = 2*q + 12 + 7, -3*p = 4*q - 7. Suppose 3*y = -2*y - p. Let v = 0 + y. Which is bigger: v or -2/7? -2/7 Suppose 2*c - 4*d = -7*d - 76, -3*d = -12. Which is bigger: -46 or c? c Let d(u) = 3*u**2 - 2*u**2 + 7 - 1 - 3 - 3*u. Let l be d(2). Which is smaller: 12 or l? l Suppose 10 = -o + 4*v, -2*v - 26 = o - 28. Do o and 76 have different values? True Suppose -4*i + 34*i + 1230 = 0. Are -40 and i equal? False Let p be (46/(-46))/(29/66). Which is smaller: p or -3? -3 Let m = 4.618 + 1.512. Let a = m + -6. Which is smaller: a or 2? a Let l = -42 - -42.21. Let j = l + -0.33. Is j smaller than 1? True Let i(f) = -f**3 - f**2 + 2*f - 1. Let g be i(-2). Let j be 56/70 - (-68)/(-90). Which is smaller: j or g? g Let h = 362.9 + -363. Suppose 0 = -4*u + 2*i - 0*i - 24, 2*i + 16 = -4*u. Is h >= u? True Let z(c) = -c**2 + 17*c + 18. Let i be z(18). Let v = 0.2 + -4.2. Let h = -3 - v. Is h < i? False Let r(c) = -2*c**2 + 16*c + 20. Let q(b) = -b**2 + 8*b + 10. Let j(m) = 5*q(m) - 3*r(m). Let w be j(9). Which is smaller: -3/2 or w? -3/2 Let n(k) = -12*k + 61. Let u be n(4). Do u and 0 have the same value? False Suppose -2*s + 28 = -28. Let j = s + -37. Let h be (-8 - 2) + 1 + 0. Is h != j? False Let s = -389 - -389.7. Is s at least -45? True Let l be 6*((-1)/(-6))/((-2)/(-4)). Suppose -t + l = w, -3*w + 0*w - t + 8 = 0. Are w and 3 unequal? False Let w(a) = a**2 - 9*a + 5. Suppose -2*v + 115 - 39 = 4*r, -100 = -4*r + 4*v. Suppose 2*f - r + 1 = 0. Let i be w(f). Which is smaller: 16 or i? i Suppose -48*k - 18 = -39*k. Let v = -6 + 1. Let j be v/195*k*-3. Is j greater than -1? True Let a = -284 + 282.54. Which is bigger: a or 1? 1 Let n be 11/(-212)*11 + (-3)/(-6). Let l = n - -369/14204. Is -1 greater than l? False Suppose 990 = 66*w - 84*w. Is -54 less than or equal to w? False Let q = -345 - -140. Which is bigger: q or -1/3? -1/3 Suppose -2*p + 3 + 7 = 0. Suppose 5*r - 12 = -h, -3*h + p = -5*r + 29. Is 7/2 < r? False Suppose 0 = 16*u + 89*u - 192885. Is u at most as big as 1838? True Let v = -319936/3145 + -45/629. Is -103 at most v? True Let t be (((-232)/(-6))/(-2))/((-2)/(-3)). Let h(b) = -8*b + 3. Let w be h(4). Are w and t unequal? False Let l = 772 - -220. Is l less than 991? False Let j = 4 - 0. Suppose 0 = -j*l - 4*q, -4*l + l = q. Suppose -3*h - 1 = g, -2*g + 6 = -l*h - 2*h. Which is smaller: -1/2 or h? h Let p be (-3)/(-18) - 1/(-2). Let m = -3968 - -3964. Are p and m nonequal? True Let n = 20 + -12. Let s be 17*1 - (8 + -7). Let y be (-2)/s - (-5)/40. Is y not equal to n? True Let t = -133 - -135.69. Is -0.1 != t? True Let y = 7.7 - 7.72. Which is smaller: y or 1.9? y Suppose p + 17 = 2*p + 5*m, 0 = 4*p + 5*m - 53. Let j(k) = 4*k**2 - 4. Let w be j(-2). Is w greater than or equal to p? True Let l be -3*(-1 + 4/6). Let y = -946474/61 - -15516. Is y equal to l? False Let g be (-8)/(-84)*12*49/(-14). Which is smaller: -54/17 or g? g Suppose 2*d + 3*z = -64 + 508, 0 = 2*d - 5*z - 460. Suppose 7*p = -8*p + d. Is 18 at least as big as p? True Suppose 2*d - 4*d = 0. Suppose -s - 2*y - 3 = 0, d = 5*y + 5 + 15. Suppose -11 = 3*z - s*h, 3*z - 2 = 2*z - 4*h. Is z less than or equal to -2? True Let p be (-19 + 18)*(44 + -1). Are p and -7 non-equal? True Let u be 286/4 + 8/(-16). Let h = u - 63. Is h greater than or equal to 9? False Let a = 0.393 - 0.483. Which is greater: a or -0.5? a Suppose 30*h - 40*h + 260 = 0. Let x = -80 - -57. Let c = x + h. Which is smaller: 5 or c? c Let k = 488 + -486. Is 0.59 at least k? False Let s = 0.26 + -0.15. Let k = 0.89 + s. Is k < -2/5? False Let y = 33 - 80. Let x = 46.85 + y. Which is smaller: 2 or x? x Let c(h) = -h**2 + 18*h + 9. Let l be c(13). Let k = l + -73. Which is smaller: -2/13 or k? -2/13 Let a(g) = g**3 - g**2 + 3*g. Let n be a(0). Let v = 8793/17 - 517. Are v and n unequal? True Let s = -5 - -8. Suppose 0 = -l + 2*i + 44, 0 = -s*l - 2*i - 59 + 191. Let h be (4/l)/((-1)/(-2)). Do h and 0.1 have the same value? False Let l = 452 + -454. Is l equal to 5/6? False Suppose 2*n + 2*n - 3*u = 18, 0 = -5*n - 2*u + 11. Suppose -3*c + 5*c + 32 = 2*h, 3*c - h = -40. Let t be (c - 0)*(-2)/15. Is n less than t? False Let f be 396/(-135)*(-5)/6. Suppose 0*c + 20 = -5*a + 5*c, c - 3 = 2*a. Which is bigger: f or a? f Suppose -13*m + 245 = -678. Which is smaller: m or 141/2? 141/2 Suppose 4*l + 22 = 126. Let w = l + -36. Are w and -9 non-equal? True Suppose -34*n - 149 = -115. Which is bigger: n or -1/732? -1/732 Let t(i) = i**2 - 57*i + 307. Let r be t(51). Do r and -2/1857 have the same value? False Let b = -135.7 - -126. Let k = b + 9. Let z = -1351 - -2703/2. Is k >= z? False Suppose 4*d = -3*l - 36, -d + 4*l - 2*l = 20. Let y be (d/216)/((-2)/(-3)). Suppose 5*r + 3*t - 6 = 0, -3*r - 4*t + 9*t - 10 = 0. Are r and y non-equal? True Let u be 134/14 - 52/91. Suppose -u = -3*l + 33. Let f be (-48)/l + 0 - -3. Is f at most as
{ "pile_set_name": "DM Mathematics" }
- 16))? 12 Evaluate -10 - (-27 + 7) - 12 - -2. 0 Calculate 1 + 16 - 3 - 9. 5 Evaluate (-3 + 6 - 24) + 41. 20 1 + 8 - 10 - (7 + -8) 0 Calculate (-182 - -183) + 15 + -1 - 11. 4 What is the value of 1 - -7 - (18 + -41 + 29)? 2 What is 35 + (-2 - (-8 + 10)) + 3 + -11? 23 What is -4 - (-49 - (-7 + -15))? 23 Evaluate 1 + 0 - (-19 + (6 - -4)). 10 2 - -24 - (166 + -151) 11 What is the value of (-58 + 61 - (-2 + 4)) + -13 + 1? -11 Calculate 42 - 8 - 14 - (-1 + (-2 - 2)). 25 210 - 209 - (-1 + 6) - 12 -16 Evaluate 35 + -15 + (-46 - -10). -16 Calculate 15 - 9 - (4 + -2 - (8 - 0)). 12 Calculate (-8 + (-5 - -24) - -1) + -27. -15 Evaluate 6 + (-8 - -6) - -4 - (20 + -14). 2 Calculate (33 - 30) + 8 + (2 - 34). -21 Evaluate -27 - -2 - (-18 - -1). -8 What is the value of -16 - (-31 + (24 - 13) + 14)? -10 (1 - 2) + 16 - (-16 - (-32 + 14)) 13 Calculate 2 + (9 + -1 - 7) - (-1 - -6). -2 Evaluate -21 + (6 - -1) + 1 + 4. -9 Calculate 0 + 0 + (21 - 18) - (-188 + 195). -4 11 - (12 + (134 + -153 - (-10 + 1))) 9 Calculate -1 + 1 - ((6 - (-46 - -26)) + -16). -10 What is the value of -7 - 3 - (18 + -14 + 6 - 13)? -7 Evaluate -2 + -11 - -2 - -22 - -9. 20 Calculate (14 - 3) + -23 + 13 - 4. -3 What is -4 + 17 - (2 - -11)? 0 Evaluate 33 + (-77 - (-26 - 15)). -3 10 + -24 + (32 - 13) 5 -13 + 4 + (43 - 30) 4 What is the value of 2 - ((-8 - (-5 + 2)) + 19 - 0)? -12 Evaluate -9 + (-2 - (9 + -6)) + (9 - 3). -8 Calculate (-34 - -22) + 1 + -3 + 3 + 0. -11 What is the value of 25 - 7 - -4 - 21? 1 What is the value of 15 - 15 - -13 - (0 - -23)? -10 2 + 10 - (5 + -16 + 7) 16 Evaluate (-121 - -124) + -26 + -1. -24 What is 8 - (39 - 18) - 4? -17 (2 - -1) + -8 + -5 + 30 + 7 27 Calculate -1 - ((1 - (-2 - 6)) + 3 + 2). -15 (39 - 27 - 20 - (1 + -6)) + 14 11 What is 1006 + -1032 - (-2 + -53)? 29 What is -4 + (3 + 0 - (-155 + 147))? 7 Calculate 9 + -9 + 2 + -22 + 20 + 13. 13 (0 - -1) + 4 + (-87 - -68) -14 What is the value of (-4 - -3) + 1 + (-4 + 0 - -20)? 16 -7 + (2 - 1 - (-2 + 17 + -9)) -12 Evaluate -12 + (13 - (13 - 1)). -11 -1 - (-10 + 1) - 13 - 12 -17 Calculate -1 + 43 + -29 + 1 + -17. -3 What is the value of (-11 - (-16 + 4)) + 7 + -16 + 22? 14 2 + -6 + (37 - 45) + -2 -14 Evaluate -23 - (-13 + 9 + -8 - -2). -13 What is -4 + -3 + -10 + 0 + (13 - 8)? -12 Evaluate (15 - 2) + (-23 - -3 - -10). 3 -5 + -2 - ((1 - 7) + -1) 0 Evaluate (-2 + -32 - (-19 + 19)) + (0 - -10). -24 What is the value of -7 - (-7 + 0 + 0)? 0 What is the value of -8 - -2 - (-1 - 3) - 3? -5 Calculate -2 + -2 + (-5 - (11 + -9)). -11 What is the value of -18 - -1 - (23 + 5 - 36)? -9 Evaluate (-21 - -6 - 3) + 26. 8 What is the value of -43 - -50 - (-1 + 6) - 5? -3 What is 21 - (27 + -9 + -25)? 28 Evaluate (-1 + 0 - (-28 + 57)) + 8. -22 Evaluate (16 - -1) + (-47 - -8) + 37. 15 Calculate -4 + 13 + -33 + 20. -4 What is (-2 - -14) + 3 + -22 + 8? 1 Evaluate 25 - ((23 + -11 - 4) + 3). 14 Calculate -26 + (9 - -23) - (26 - (-2 - 2)). -24 What is the value of (4 - (-38 - -8)) + -18? 16 What is the value of -7 + -2 + -5 + 13 - 6? -7 What is 11 + -18 - ((-1 - -4) + 0)? -10 Evaluate -5 + ((-2 - -4) + -7 + 3 - -6). -1 Evaluate 7 + -1 + (-358 - -373) + (-12 - -1). 10 Evaluate -22 + (2 + -1 - 3). -24 -26 + (-19 - -28) + 13 -4 What is (18 - (24 + -19)) + -31 + -20? -38 What is 131 + -124 - (2 - -6)? -1 -2 + 40 + (-16 - -4) 26 What is (11 - (13 - -4)) + 14 + -23? -15 Evaluate (-241 - -230) + (38 - 5). 22 10 - 0 - (-16 + 17) 9 What is the value of (-117 - -127) + (10 - (4 + -1))? 17 1 + -11 - (-13 + 0 - (644 + -635)) 12 Calculate -1 + 3 - ((9 - 21) + 10 - -7). -3 What is (-2 - (-3 - -5) - (1 + -7)) + -4? -2 What is the value of -5 + (-8 - -8) + 15 + 2? 12 What is (-2 - (5 + (3 - (-8 + 6)))) + 1? -11 What is the value of 4 - (-30 - (-44 + 36))? 26 Calculate 7 + (1 - (-6 - -12)) - -11. 13 6 + (-11 - -6) - (-13 + 2) 12 Calculate -18 + (-2 + 8 - 4 - (-17 - -15)). -14 Calculate 14 + (-15 + 3 - (-24 + -2)). 28 What is -62 + 27 + 0 - -16? -19 Evaluate -534 + 525 + 1 + -1 + -7. -16 What is the value of 53 - 26 - (5 - 0)? 22 (-24 - -16) + 14 - -5 11 What is (24 - (38 + (-5 - 14))) + 2 + 0? 7 Evaluate -16 - (6 - (-22 - -23)). -21 Evaluate 14 + (-30 - -8) - 3. -11 What is -1045 + 1029 + (-3 - (-19 + 3))? -3 What is 10 + -6 + 3 - 10? -3 What is the value of (3 - -2) + -19 + 15? 1 What is the value of -5 + (6 + -5 - -4 - -4) + -8? -4 (10 - (-4 + 3)) + -3 - (1 + -20) 27 Calculate -1 - 1 - (-64 - (70 + -131)). 1 What is -12 + 3 + 0 + (-1 - 3)? -13 Evaluate -13 + (-14 - -20) + 1 + 15 + 1. 10 Calculate 6 + 14 + (11 - 18). 13 Calculate (7 - (11 - 8)) + 9 - -3. 16 Evaluate (-8 - -3) + (2 + -2 - 4). -9 What is 0 + (-8 + -2 - -7) + 15 + 0? 12 Calculate (-5 - -30) + -32 + 1 + 15 + -1. 8 Evaluate 19 - 38 - (-7 + -27). 15 Calculate 25 + (-17 - 0) + 0. 8 What is 43 + -44 + (5 - (1 - -2)) - 10? -9 What is 20 - -8 - 15 - (-1 - 6) - 8? 12 What is 10 + -1 + -12 + -3? -6 What is the value of 2 - 14 - (-21 - -25) - -4? -12 Evaluate (1 - -4) + -2 + 4 - (465 + -446). -12 What is the value of (-1 - 5) + 6 + -2 + 5? 3 What is 2 + 8 + 2 + (8 - 13 - 13)? -6 Calculate -20 - (-21 + 20 + -14). -5 -6 + -1 + (4 - -1) + -3 - 12 -17 217 + -219 + -6 + -1 -9 Evaluate -38 + 51 - 41 - (11 - 1). -38 3 - -5 - (8 + (-2 + -5 - -7)) 0 What is -33 + (-4 - -22) + 17? 2 Evaluate (-9 - (0 - 11)) + 5 - 23. -16 Calculate -20 + (-15 + 8 - -12) + 20. 5 Evaluate -17 - (-20 - -18 - 31). 16 0 - 2 - (96 + -105) 7 What is the value of -6 + (-9 + 4 - -8 - -1)? -2 What is the value of -10 - (7 - (-11 + -1 - -11))? -18 What is the value of 3 + -29 + 24 + 1 + 13? 12 What is 3 + (9 - (11 + -5)) + -6? 0 Calculate -12 - (-36 - (-11 + -3)). 10 4 + -11 - 0 - (-31 + 44) -20 Calculate -17 + -17 - -13 - (-11 + 0). -10 What is the value of 8 - ((30 - 21) + 5)? -6 What is the value of (-5 - -15 - 18 - -13) + -11? -6 What is (2 + 2 - 4) + -5 + -18 + 10? -13 (-31 - -45) + -29 + -1 -16 What is the value of 27 + -24 + (-2 + -36 + 2 - -8)? -25 Calculate -10 - (12 - (7 - 14 - -14)). -15 What is 21 + (19 + -7 - 40)? -7 Calculate -2 + (7 - (5 + -6 - 1)) - 26. -19 Calculate -3989 + 3995 - (-5 - (0 + 3 + -1)). 13 Calculate 21 + -8 + -6 - (0 - -19). -12 What is -3 - (-7 - (1 + -3) - 9) - 1? 10 What is the value of -7 + 17 + -7 - 6? -3 What is the value of 2 - (-2 + -23 + 35)? -8 33 - (0 + 24 + -8) - (5 - 0) 12 -10 + -2 + (104 - 104) -12 Evaluate -6 - -2 - 2 - 0. -6 -11 - ((14 - 53) + (12 - 3 - 3)) 22 What is the value of (1 - (0 + 10 - 8)) + 15? 14 What is 2 - (1 + -10 + (11 - 6))? 6 Evaluate 10 + (1 - 0) + -11 - 17. -17 What is the value of (10 - 9) + -15 + 11? -3 What is the value of -17 - (15 + -51) - 12? 7 Evaluate -6 - -12 - (3 + -2 - -2). 3 10 - (4 - 2 - -14) -6 What is the value of -12 - (3 + -9) - 1? -7 What is (3 - 9) + 19 + -55 + 61? 19 What is the value of -31 - (-32 + -5 + 29)? -23 Evaluate (-4 - (-27 - -10)) + -8. 5 Calculate -11 - (28 - -1 - 12). -28 What is the value of 37 + 0 - (35 - (50 + -17))? 35 What is 9 + (11 - (-9 - -25))? 4 Calculate -6 - (0 + (-51 + 55 - (14 - 1))). 3 -15 - (-6 + -10 - 4 - (2 + -12)) -5 What is 9 + 0 + 0 + 16 + (-9 - 11)? 5 Evaluate 2 - -6 - 5 - -2. 5 What is (2 - 11) + -6 + (10 - (18 + -12))? -11 Evaluate 42 + 72 + -31 + -52. 31 What is 5 - ((4 + -10 - -16) + -16)? 11 0 + 1 + (1 - (0 - (2 - 9))) -5 Calculate -17 + (-5 - -2 - (-6 - -11)). -25 What is the value of -15 + (-22 - -32) + -13? -18 -10 - 1 - (58 + -52) - -10 -7 What is the value of (-7 - -16) + 2 + -6 + 0? 5 What is the value of 31 + (5 - (14 - -21))? 1 What is (20 - -15 - 34) + -26? -25 What is the value of -41 - ((18 - 14) + (-11 - 3))? -31 What is the value of 0 + -4 + (-1 - -7 - (165 + -150))? -13 Evaluate 19 + 1 + -41 - -29. 8 What is the value of 21 + -18 - 1 - (0 - 19)? 21 Calculate 13 + (2 - (12 - -5)) + 13. 11 Calculate 11 + 17 + -25 + 6. 9 -20 + -2 + -2 + 10 -14 Evaluate 18 + ((10 - 9) + -2 - 3). 14 Evaluate (73 - 64) + 0 + -3 + 6. 12 Evaluate (1 - -8) + -7 + (-78 - -90). 14 Calculate 87 + -84 - (2 + -21). 22 What is 22 - (0 + -3 + 4 + -10 + 14)? 17 Evaluate 3 - -3 - (0 + -1 - 5). 12 Evaluate -3 - (-8 + -1) - 16. -10 What is 30 + 9 + -32 + -17? -10 What is the value of -13 + (-2 - 8) + (25 - 17)? -15 What is the value of 0 + 4 - (77 + -79) - (4 + 0)? 2 76 - 68 - (-1 + 25) -16 Calculate 4 - (9 - (17 - 21)). -9 What is t
{ "pile_set_name": "DM Mathematics" }
s positive. g**(-247/15) Simplify (j**(-2)*j)**(-43)/(j**0/j*j**(2/15)*j)*((j/j**2)/(j**(-1/3)*j))/(j**0)**(-24) assuming j is positive. j**(206/5) Simplify ((((t*t/t**(-1/2))/t**(-2/17))/(t**(-5)/t*t**1))**(-2/9))**(-4/7) assuming t is positive. t**(148/153) Simplify ((j**(-11)*j)/j*j)**(1/2)/(j*j**(2/57)*j/j**44) assuming j is positive. j**(2107/57) Simplify g**(1/2)/g**(1/4)*(g**(2/7)/g)**(-43)*(g**(-4/3)*g**(-6))**(1/32) assuming g is positive. g**(10327/336) Simplify (d*d**0)**(28/5)*d/d**(2/5)*d*d*d**(1/3)*(((d/d**1)/d)/d)**(-18)*(d*d*d/(d/d**(-2/23)))/(d*d**(5/4)) assuming d is positive. d**(60991/1380) Simplify (u/u**(-3/5)*u**(-2/9))/(u/u**1)**(-2/53)*((u**(-1)/u)**(1/40))**(-29) assuming u is positive. u**(509/180) Simplify ((d/d**(-1/4)*d)/(d*d**1)*(d/(d/d**(-2/19)))/(d/(d/(d/(d/(d/(d*d**(-1/8)/d*d*d))))*d)))/(d**4*d**(-1/5)*(d**0)**32) assuming d is positive. d**(-1353/760) Simplify ((w**(-17)*w**(-3/4))/((w*w**(-22))/w**(-4)))**(-1/25) assuming w is positive. w**(3/100) Simplify ((q**5)**(-1)*(q**(-7/4))**(-1/41))**(-3/11) assuming q is positive. q**(2439/1804) Simplify m**(1/2)*m**(-2)*(m*m**(-1))**(-4)*(((m/(m/(m**(3/7)*m))*m*m)/m)/((m/m**(-1))/m))/(m**(1/9)*m*m*m**(-3)) assuming m is positive. m**(103/126) Simplify ((u**2)**(-24/5))**49/(((u*u/u**4*u)/((u*u**(-6))/u))/((u*u*u**(-2/3)/u*u*u*u*u)/(u*u**(1/7)*u*u))) assuming u is positive. u**(-49792/105) Simplify (g/(g/(g*g**3))*g)/g**3*g**(-2/13)*g*g**(-3/2)/g*g*(g**(1/2))**(16/3)/((g**(2/11)/g)/(g**(4/7)*g)) assuming g is positive. g**(38453/6006) Simplify (((j/(j*j**(2/11)*j))/j)**(-2/5))**(-13)/((j/(j**2/j)*j)**(-46)/(j/j**(-2/9)*j/(j/(j/((j*j/(j/((j*j**6*j*j)/j*j)))/j))))) assuming j is positive. j**(13799/495) Simplify ((d**3)**35)**(3/11)/((d*d/(d*(d**7*d*d)/d*d))/(d*d**6)*((d*d**0*d*d)/d)**(-2/7)) assuming d is positive. d**(3404/77) Simplify (y**(9/2)/y**8*(y/(y*y**24))**(2/131))**(-2/129) assuming y is positive. y**(1013/16899) Simplify v**(-6)/(v*v*v**4)*(v**2)**(-5/11)*(v**(-1)*v**8*v)/(v/(v/v**1)*v/(v*v**8/v)*v) assuming v is positive. v**(1/11) Simplify (j/(j*j*(j**(1/2)/j)/j))**(-7/8)/(j**(2/11)*j**(-3))*(j/(j/(j/j**(3/11)))*j**1)**(-17) assuming j is positive. j**(-4749/176) Simplify ((g**12*g*g**(4/9))**(-2))**(-12) assuming g is positive. g**(968/3) Simplify ((((o**(-3/8)/o)/(o/o**(-4)))/(o/o**(2/7)*o*o)**40)**(-2/27))**(-25) assuming o is positive. o**(-160925/756) Simplify (c/(c/(c*c/((c**4/c)/c))))/(c**7/c)*((c*c**(1/3)/c)/c)**(-1/40)*c**6*c*c*c**(-1/6)*c*c/c**5*c*c*c**1 assuming c is positive. c**(37/20) Simplify (((a*a**(5/9)*a)/(a*a*a/a**12))/(((a/((a**(-48)*a)/a)*a)/a)/a*a/(a*a*a**(-3/5))))**(-4/13) assuming a is positive. a**(6488/585) Simplify ((((j*j**(-31)*j)/j**27)**(-31/4))**(-31))**(-7) assuming j is positive. j**94178 Simplify i**(-1/2)/i**7*i/(i*(i/(((i*i**(-5/2))/i)/i))/i)*i*i/(i*i/((i*(i*i**7)/i*i)/i*i))*((i/(i*i**7/i*i))/(i**2*i))/(i**7*i**(2/7)) assuming i is positive. i**(-135/7) Simplify ((s/((s*s*s**(-10/3))/s))/s**7)**(-2/15)/(((s/(s/(s/(s/(s*s**(-1))))*s*s))/s**9)/(s**(-7)*s**(-2/27)*s)) assuming s is positive. s**(731/135) Simplify (((y*y*(y*y**(-8)*y*y)/y)/y)/(y**(-1/16)/y))/(y/(y**(-1/2)/y))**(-1/6)*((y/(y*y*y**(-1/8)*y))/(y**(6/5)/y))**(-38) assuming y is positive. y**(18079/240) Simplify ((c**(-2/15)/c)/((c/(c*c**(-1/11)))/c*c*c))**(-11/4)/((c/(c**2*c)*c/(c/c**3))/((((c*c**(2/17))/c)/c)/(c**(3/4)*c))) assuming c is positive. c**(1267/510) Simplify (o**(2/9))**(-1/28)*o**(-1)/(o*o**(-4))*(o**8*o*o**(-7))**(-11) assuming o is positive. o**(-2521/126) Simplify d**(1/8)*d*d*d/(d*d*(d*d/(d*d**(-2/3))*d*d)/d)*d*(d**(-1))**(-2)*d**(-1/4)/(d*d/d**(3/5))*d**(5/2)*d*d**1*d assuming d is positive. d**(637/120) Simplify (g/(g**(-5)*g)*g/(g*g**(1/6))*((g*g**(-1/7)*g)/g)/((g**9*g)/g))**(17/3) assuming g is positive. g**(-2363/126) Simplify ((((m/(m*m*(m*m**(-2/33)*m*m)/m*m))/m)**27)**(-2/107))**(19/5) assuming m is positive. m**(55746/5885) Simplify (j/(j*j**(-1)))**(2/17)*(j/(j**(-2/7)*j)*j)**(-3/37)*(j**(-5)*j**(-1/6))/((j/j**(1/5))/(j/j**(-2))) assuming j is positive. j**(-390097/132090) Simplify (a*a**2*a/a**(-2/13)*(((a**(-6)*a*a*a*a)/a)/a*a)/(a*a/(a/a**(-8))*a*a))/((a*a*a*a/(a*a/(a/a**1)*a))**(-49))**(2/25) assuming a is positive. a**(3274/325) Simplify ((c*c**0)**(-25/4)*c/c**(-2/11)*c**3/c)/((c**6/c**4)/((c**(-2)/c*c*c)/(c*c/c**0))) assuming c is positive. c**(-355/44) Simplify ((((n**(2/47)/n)**45)**(4/21))**(1/21))**44 assuming n is positive. n**(-39600/2303) Simplify ((t**6*t)/(t*t**(-4)*t*t*t))**(5/12)/((t/(t*t*t**(-2/3)))**(-47)*(t*t*t**0*t*t)**(7/2)) assuming t is positive. t**(-107/4) Simplify ((z**24*z/(z/z**17)*z)/(z/z**(-2/59))**(-39))**(-19) assuming z is positive. z**(-92283/59) Simplify (f/((f*f**(-6)/f)/f)*((f*(f*f*f/f**(-1))/f)/f)/f)**(-1/55)*f**(-2)/(f**(-7)*f)*(f*(f*f**(2/11))/f*f)/f**(-1/3) assuming f is positive. f**(19/3) Simplify (r/(r/((r*r**(-4/5)*r)/r))*r)**48/(r**(-1/27)/r*r/(r**(-36/5)/r*r)*r) assuming r is positive. r**(6674/135) Simplify (s**(-1/11)*s**5/s*s**(-2/19)/s**2)/((s**0)**35*s**(-3)*s/(s/(s*s**(-1/8))*s)) assuming s is positive. s**(8241/1672) Simplify ((v*((v/v**(1/45))/v)/v*v**(2/29)/v)/(v**(-30)*v*v**(-1/24)))**(3/4) assuming v is positive. v**(293243/13920) Simplify ((c/(c/(c*c**4*c*c)))/((c*c*c/(c**(-2/3)/c)*c)/c))**(-12/5)*(c*c**(-5))/(((c*c**(2/13)/c)/c)/c)*((c/(c/c**0))/c)**(-2/3) assuming c is positive. c**(-1382/195) Simplify ((z*(z*(z/(z*z*z*(z*z**7)/z))/z*z)/z)**(-2/15)/((z**(-11/5)*z)/z**(-32/7)))**(-1) assuming z is positive. z**(242/105) Simplify ((r**0/r)/r**3*(((r**(-1/2)*r*r)/r)/r)**(-2/107))/((r**(1/4))**49)**(-45) assuming r is positive. r**(234227/428) Simplify ((q**(-5/7)*q)/(q/(q*q*q**(-1)*q*q))*(q**(-3))**46)**(2/25) assuming q is positive. q**(-76/7) Simplify (q**(-2/17)*q/q**(1/4))/(q/(q/q**1))**(-3/5)*((q**1/q)**19)**27 assuming q is positive. q**(419/340) Simplify ((z*z**2)/z*z**6*z*z*z**(-12)*(z*(((z*z*z/z**(-17)*z)/z*z)/z)/z)/z)**(-2/47) assuming z is positive. z**(-34/47) Simplify (c/(c/(c**(-15)*c))*c/(c**(-15)/c)*c/c**(2/9)*c*(c*c/c**(1/16))/c)**(25/3) assuming c is positive. c**(20575/432) Simplify ((b/(b/(b*b**(-2/11))))**(3/5))**(-1/6)/((b**(-2/7)*b*b*b**9*b)/(b**2)**(1/9)) assuming b is positive. b**(-80207/6930) Simplify ((f**3/(f**3/f))/(f/(f/(f*f*f**(1/3)*f*f)*f))**(-5/12))/(((f**(2/7)*f)/f*f)**43/(f**6/f**(-3))) assuming f is positive. f**(-5531/126) Simplify ((g**(1/2))**(2/35)/(g**(2/3)/g**4))/(g**(1/4)/g*g*g*g**13)**(1/3) assuming g is positive. g**(-583/420) Simplify (m/m**(-1))**20*((m**(-3)*m)/m)/m**2*((m**(-5)*m)/(m/(m/(m*m**(-2)*m))))/(m**(-1))**(2/55) assuming m is positive. m**(1707/55) Simplify ((((g**(-4/7))**(-40))**44)**9)**13 assuming g is positive. g**(823680/7) Simplify (d**(-6)/d**(1/2))**(-1/42)*(d**(1/7)*d*d**(-1/6))**(-20/13) assuming d is positive. d**(-1471/1092) Simplify ((k**(-2/9)/k*((k*k/k**(-1))/k)/k*(k**(-2/7)*k)**(-6/7))**(-8))**(-8/3) assuming k is positive. k**(-23552/1323) Simplify ((a/(((a*a**1)/a*a*a*a)/a))/a*a**9)**(17/3)/((a**(3/5)/a**(-2/19))/(a*a/(a**(2/5)*a))**3) assuming a is positive. a**(3334/95) Simplify (w**(-1/2)*w)**(2/71)/(w**(-7)/w**0)*((w/w**(-5)*w)/w**(-2))**36 assuming w is positive. w**(23502/71) Simplify (s**(2/7)/s*s**4*(s**(-12))**(-4))**(-2/47) assuming s is positive. s**(-718/329) Simplify ((o**(-1)*o*o)**(-3)/((o/(o**(-1/3)*o))/o*o)**49)/(((o*o*o**(-1)*o*o)/o)**12)**(2/35) assuming o is positive. o**(-2174/105) Simplify ((o*o/(o**(-1/3)/o))**(-41)*((o**(-1)/o)/o)/o*o*o*o*o**(-3/8)*o)/((o**0)**(2/7)*o/o**6*o*o**(-3)) assuming o is positive. o**(-3121/24) Simplify ((o/o**(-3/7))/o**(-6/7))/(((o/o**5*o)/o)/(o*o*o**5))*(o/(o*o**3*o)*o*o**(2/3))**(-4/3) assuming o is positive. o**(1033/63) Simplify l**3/(l*l/((l/(l/(l/l**(-3))))/l))*(l/l**(-2/5))**(-34)*(l/(l/l**(-4/5))*(l/(l**(2/13)*l))/l)**(-39) assuming l is positive. l**(163/5) Simplify (h/(h**39*h))/((h/(h/(h**13*h*h)))/h)*(h/(h**43/h))/((((h*(h*h/(h*h/h**(-6/31)))/h)/h)/h)/h) assuming h is positive. h**(-2815/31) Simplify (b*b/((b**(-2/15)/b)/b)*b*b**0)**7/((b**(-1/4))**(-4/3)/((b/(b**1*b))/(b*b/b**(-4/5)))) assuming b is positive. b**(159/5) Simplify ((j/((j/j**(-2/33))/j)*j*j*j*j**(4/5))/(j*j/j**(-4))**(11/7))**(-11/5) assuming j is positive. j*
{ "pile_set_name": "DM Mathematics" }
se 9) to base 14. -13 What is -1123 (base 5) in base 4? -2203 What is -3 (base 6) in base 2? -11 Convert 100 (base 2) to base 5. 4 What is -324 (base 8) in base 7? -422 Convert -131 (base 10) to base 2. -10000011 What is -7 (base 13) in base 8? -7 3d (base 14) to base 10 55 What is 1 (base 2) in base 6? 1 What is 19 (base 13) in base 12? 1a What is 4 (base 13) in base 8? 4 Convert -3 (base 14) to base 11. -3 Convert 4 (base 11) to base 9. 4 What is -2 (base 11) in base 3? -2 15 (base 10) to base 5 30 Convert -2 (base 9) to base 13. -2 Convert 11 (base 16) to base 12. 15 Convert 55 (base 12) to base 3. 2102 What is b0 (base 13) in base 9? 168 What is -2 (base 14) in base 9? -2 Convert c (base 13) to base 16. c Convert -12 (base 3) to base 8. -5 What is 4 (base 7) in base 2? 100 Convert -10 (base 12) to base 15. -c Convert 16 (base 12) to base 5. 33 1 (base 16) to base 6 1 Convert 4 (base 14) to base 16. 4 48 (base 16) to base 6 200 What is 131 (base 6) in base 3? 2001 Convert -21 (base 11) to base 15. -18 What is 112 (base 3) in base 5? 24 Convert -17 (base 16) to base 9. -25 What is -18f (base 16) in base 13? -249 1 (base 2) to base 12 1 Convert 39 (base 15) to base 11. 4a -3 (base 5) to base 9 -3 What is -233 (base 12) in base 7? -645 What is 31 (base 6) in base 16? 13 What is 101 (base 3) in base 6? 14 Convert 9 (base 12) to base 8. 11 What is 10 (base 16) in base 6? 24 What is 2 (base 15) in base 9? 2 Convert 159 (base 11) to base 2. 10111001 Convert 2 (base 13) to base 16. 2 53 (base 7) to base 2 100110 What is 2c (base 14) in base 10? 40 -1 (base 3) to base 14 -1 -1 (base 2) to base 6 -1 What is -2 (base 10) in base 11? -2 Convert 104 (base 6) to base 3. 1111 Convert 12 (base 8) to base 6. 14 -100 (base 2) to base 13 -4 Convert -303 (base 6) to base 8. -157 Convert 110 (base 4) to base 3. 202 What is 93 (base 11) in base 12? 86 1 (base 10) to base 12 1 What is 0 (base 11) in base 12? 0 What is 104 (base 14) in base 3? 21102 Convert -100 (base 4) to base 8. -20 Convert 4 (base 6) to base 14. 4 What is -12 (base 5) in base 16? -7 -1a4 (base 12) to base 7 -532 What is 28 (base 13) in base 5? 114 -111 (base 2) to base 7 -10 Convert -4 (base 8) to base 3. -11 -c (base 16) to base 14 -c What is -155 (base 6) in base 12? -5b Convert -37 (base 14) to base 16. -31 Convert -6 (base 16) to base 8. -6 What is 1 (base 11) in base 2? 1 -121 (base 6) to base 4 -301 What is 48 (base 12) in base 6? 132 2200 (base 3) to base 8 110 What is -b (base 13) in base 12? -b -13 (base 14) to base 11 -16 What is 22 (base 12) in base 15? 1b What is -3 (base 13) in base 12? -3 What is 137 (base 8) in base 6? 235 -3100 (base 4) to base 2 -11010000 What is -1001 (base 2) in base 10? -9 What is 100 (base 2) in base 14? 4 Convert 101210 (base 3) to base 4. 10203 Convert 34 (base 5) to base 4. 103 10 (base 3) to base 16 3 -7 (base 14) to base 4 -13 Convert 0 (base 10) to base 15. 0 18 (base 9) to base 4 101 Convert -10110 (base 2) to base 13. -19 -53 (base 10) to base 5 -203 What is 26 (base 13) in base 7? 44 -10 (base 12) to base 8 -14 -d (base 15) to base 7 -16 Convert -3 (base 12) to base 14. -3 -4 (base 6) to base 12 -4 Convert -3 (base 13) to base 5. -3 What is 12 (base 10) in base 13? c What is -425 (base 6) in base 4? -2201 What is 2 (base 12) in base 8? 2 3 (base 15) to base 3 10 What is 49 (base 10) in base 16? 31 Convert 49 (base 13) to base 16. 3d Convert -20 (base 15) to base 13. -24 Convert -29 (base 14) to base 15. -27 Convert 264 (base 11) to base 13. 1b0 -3 (base 7) to base 11 -3 -70 (base 11) to base 16 -4d What is 10 (base 3) in base 14? 3 Convert 1 (base 16) to base 13. 1 -11001 (base 2) to base 7 -34 What is 25 (base 7) in base 2? 10011 Convert -3 (base 10) to base 12. -3 What is -211 (base 5) in base 15? -3b What is 2 (base 16) in base 8? 2 Convert 1540 (base 6) to base 8. 644 -11 (base 4) to base 15 -5 Convert -11 (base 5) to base 3. -20 Convert -57 (base 8) to base 11. -43 What is -1230 (base 4) in base 7? -213 Convert 5 (base 6) to base 4. 11 What is -120 (base 4) in base 9? -26 What is 2 (base 11) in base 16? 2 46 (base 8) to base 14 2a -2220 (base 3) to base 5 -303 -4b (base 15) to base 7 -131 Convert 5 (base 10) to base 8. 5 -22 (base 11) to base 13 -1b What is 1 (base 14) in base 11? 1 Convert 1 (base 14) to base 4. 1 1 (base 12) to base 3 1 What is 1011 (base 2) in base 3? 102 What is -4 (base 10) in base 14? -4 Convert 2 (base 8) to base 13. 2 18 (base 14) to base 11 20 -1b (base 12) to base 2 -10111 What is 2 (base 15) in base 11? 2 Convert -66 (base 16) to base 6. -250 Convert 140 (base 5) to base 9. 50 Convert c (base 15) to base 11. 11 Convert 6 (base 10) to base 15. 6 Convert 1 (base 7) to base 15. 1 What is -330 (base 4) in base 14? -44 What is -2 (base 7) in base 8? -2 -3 (base 8) to base 13 -3 What is -100100 (base 2) in base 8? -44 -4 (base 11) to base 7 -4 1200 (base 3) to base 5 140 What is 1 (base 16) in base 2? 1 What is -10 (base 2) in base 12? -2 Convert 18 (base 14) to base 2. 10110 Convert -225 (base 6) to base 12. -75 10 (base 4) to base 14 4 What is -121 (base 6) in base 10? -49 Convert -3 (base 12) to base 10. -3 Convert 10 (base 13) to base 4. 31 Convert 1211 (base 5) to base 11. 155 112 (base 7) to base 16 3a What is 12012 (base 3) in base 15? 95 What is -1b (base 15) in base 2? -11010 -49 (base 14) to base 16 -41 -4 (base 11) to base 15 -4 Convert -7 (base 9) to base 7. -10 28 (base 14) to base 7 51 What is -97 (base 12) in base 2? -1110011 30 (base 15) to base 14 33 -41 (base 5) to base 9 -23 Convert 19 (base 16) to base 10. 25 What is -11 (base 3) in base 8? -4 -2323 (base 5) to base 15 -178 What is -52 (base 9) in base 4? -233 Convert 110 (base 5) to base 16. 1e 100 (base 2) to base 4 10 What is 341 (base 8) in base 12? 169 -83 (base 15) to base 11 -102 What is 2 (base 13) in base 7? 2 -3 (base 7) to base 6 -3 What is -5 (base 12) in base 2? -101 What is 1b (base 15) in base 11? 24 Convert -1 (base 2) to base 8. -1 What is -54 (base 15) in base 14? -59 What is -1 (base 14) in base 7? -1 What is -33 (base 11) in base 6? -100 Convert d (base 14) to base 4. 31 What is 1 (base 7) in base 9? 1 Convert 9 (base 15) to base 5. 14 3d (base 16) to base 10 61 10011011 (base 2) to base 15 a5 b (base 13) to base 4 23 Convert -2 (base 12) to base 11. -2 4 (base 6) to base 12 4 -3 (base 13) to base 12 -3 -32 (base 12) to base 6 -102 20001 (base 3) to base 5 1123 -1 (base 11) to base 7 -1 Convert 121 (base 3) to base 16. 10 Convert 61 (base 8) to base 2. 110001 What is -18 (base 16) in base 15? -19 Convert -2 (base 16) to base 3. -2 Convert 2033 (base 5) to base 10. 268 141 (base 5) to base 14 34 What is -2 (base 7) in base 5? -2 0 (base 3) to base 7 0 What is -176 (base 9) in base 14? -aa What is 94 (base 11) in base 7? 205 What is -44 (base 9) in base 6? -104 Convert 15 (base 6) to base 11. 10 What is 10 (base 8) in base 9? 8 What is 10 (base 9) in base 14? 9 What is -164 (base 9) in base 4? -2023 What is d (base 16) in base 15? d Convert 1 (base 9) to base 6. 1 What is 5 (base 11) in base 15? 5 7a (base 15) to base 11 a5 Convert -232 (base 4) to base 11. -42 2013 (base 4) to base 13 a5 What is -6 (base 13) in base 5? -11 Convert 30 (base 10) to base 13. 24 What is 60 (base 16) in base 11? 88 Convert 1342 (base 5) to base 10. 222 Convert 39 (base 14) to base 16. 33 What is 37 (base 16) in base 2? 110111 What is 5 (base 14) in base 13? 5 -20 (base 13) to base 5 -101 Convert -34 (base 14) to base 7. -64 What is -8e (base 15) in base 8? -206 Convert 31 (base 10) to base 3. 1011 -132 (base 11) to base 10 -156 What is -6 (base 10) in base 6? -10 Convert -1 (base 14) to base 3. -1 -14 (base 8) to base 15 -c 2 (base 5) to base 10 2 Convert 3 (base 16) to base 14. 3 What is -57 (base 10) in base 16? -39 What is -100 (base 5) in base 6? -41 Convert -1 (base 16) to base 14. -1 What is -15d (base 16) in base 5? -2344 What is 2 (base 9) in base 12? 2 What is 149 (base 11) in base 15? b9 What is -9 (base 16) in base 8? -11 -11 (base 4) to base 11 -5 What is -2 (base 7) in base 15? -2 -16 (base 7) to base 13 -10 Convert b (base 16) to base 3. 102 -54 (base 13) to base 3 -2120 -13 (base 9) to base 6 -20 Convert 1 (base 14) to base 8. 1 Conve
{ "pile_set_name": "DM Mathematics" }
- -2*(0 - -1). Suppose 0 = -3*y + s*y - 11. Let i(u) = y*l(u) - 4*f(u). Determine i(j(c)). -c Let m(f) be the second derivative of -2*f**5/15 + 17*f**2/2 - 47*f. Let a(p) be the first derivative of m(p). Let j(x) = -5*x. Determine a(j(l)). -200*l**2 Let r(j) = 705*j**2. Let f(o) = -33*o. Give r(f(v)). 767745*v**2 Let w(h) be the second derivative of -21*h + 0*h**3 + 0*h**2 + 0 + 3/2*h**4. Let p(n) = -n + n - n + 0. Give p(w(u)). -18*u**2 Let a(p) = -11*p. Let r(u) = 36241*u. What is r(a(o))? -398651*o Let j(f) be the third derivative of 0*f + f**2 + 0*f**4 + 0*f**3 + 0 + 1/30*f**5. Let h(b) be the second derivative of 4*b**3/3 + 735*b. Give h(j(w)). 16*w**2 Let g(x) = 325*x. Let a(q) = 5*q**2 - 14*q**2 + 4*q**2 + 3*q**2 + 3*q**2. Give a(g(y)). 105625*y**2 Let y = -140 - -152. Let l(a) = -6*a + 7*a**2 + y*a - 6*a. Let q(h) = -h**2 - 5*h - 5. Let g(r) = -2*r - 2. Let p(j) = 5*g(j) - 2*q(j). Calculate p(l(n)). 98*n**4 Let l(q) = -2*q**2 + 27. Let k(t) be the third derivative of t**5/30 - 288*t**2. What is k(l(c))? 8*c**4 - 216*c**2 + 1458 Let o(m) = -2*m. Let q(r) = -29*r + 26. Let p(h) = 6*h - 6. Let g(c) = -18*p(c) - 4*q(c). Determine g(o(x)). -16*x + 4 Let n(w) = -629*w. Let i(j) = 3*j. Calculate i(n(z)). -1887*z Let n(q) be the second derivative of -23*q**5/60 + 7*q**2/2 - 8*q. Let p(k) be the first derivative of n(k). Let i(s) = -s. Calculate p(i(f)). -23*f**2 Let m(r) be the third derivative of r**4/24 + 4*r**2. Let q(d) be the second derivative of 1/6*d**4 + 0 - 2*d + 0*d**3 + 0*d**2. Determine q(m(v)). 2*v**2 Suppose 0 = -2*j - 80 + 28. Let u(g) = 2*g. Let t(w) = 7*w. Let n(d) = j*u(d) + 6*t(d). Let s(k) = -5*k. Calculate n(s(o)). 50*o Let s(n) = 894665*n. Let o(b) = b. Calculate o(s(l)). 894665*l Let l(r) = r. Let g(c) = 3*c. Let d(x) = -2*g(x) + 10*l(x). Let z(w) be the third derivative of 5*w**4/24 + 17*w**2 - 2*w + 16. Give z(d(u)). 20*u Let n(q) = 24*q - 61*q + 33*q. Let s(a) = 24*a + 4. Give s(n(m)). -96*m + 4 Let s(a) = -10*a**2. Let q(k) = 3*k + 0*k - k + 6*k + 0*k. Determine s(q(b)). -640*b**2 Let l(x) = -9*x - 26. Let o be l(-3). Let d(u) be the first derivative of 2/3*u**3 + 0*u + 0*u**2 + o. Let w(v) = -3*v. Determine w(d(f)). -6*f**2 Let g(v) = -2*v. Let f = -74 - -75. Let k(r) = 1 - f + 0 - 65*r**2. Give k(g(c)). -260*c**2 Let j(o) = o - 15. Let p(k) = -49*k. Let t(h) = -106*h. Let u(i) = 13*p(i) - 6*t(i). What is j(u(f))? -f - 15 Let b(p) = -3*p**2 + 7*p. Let c(o) = -2*o**2 - 183. Give b(c(v)). -12*v**4 - 2210*v**2 - 101748 Let t(v) = -16*v. Let a be (4/(-12))/((-3)/18). Let h(w) = 2*w**2 - 2*w + 4. Let n be h(3). Let z(k) = -n*k + 9*k + 7*k + a*k. Calculate t(z(f)). -32*f Let b = 248 + 218. Let r(j) = 231*j - b*j + 233*j. Let h(n) = n + n + 2*n. What is r(h(c))? -8*c Let h(p) = 1763*p**2 + 2*p - 95. Let u(g) = -g. Give u(h(d)). -1763*d**2 - 2*d + 95 Let d(h) = 3*h**2. Let x be 55*(2 + (-36)/15). Let c(q) = 16*q**2 - 11*q + 11. Let m(n) = -3*n**2 + 2*n - 2. Let z(w) = x*m(w) - 4*c(w). Give z(d(t)). 18*t**4 Let i(f) = 1187538*f. Let y(l) = 3*l. Determine y(i(h)). 3562614*h Let u be -110*(-1)/(-4)*-2. Let r(k) = 64*k**2 - 120*k**2 + u*k**2. Let z(a) = -46*a. What is r(z(m))? -2116*m**2 Let q(g) = 2*g. Let b(j) be the third derivative of -7*j**6/360 + 7*j**3/6 + 7*j**2. Let a(l) be the first derivative of b(l). Determine q(a(c)). -14*c**2 Let y(n) = -13*n. Let q(d) be the second derivative of d**3 - 167*d. Calculate q(y(u)). -78*u Let j(a) = -8*a**2 - 3*a - 3. Let u(k) = 7 + 4*k - 2 - 1 + 9*k**2. Suppose -5*b + 4*b + 3 = 0. Let p(q) = b*u(q) + 4*j(q). Let c(i) = -2*i. Give c(p(n)). 10*n**2 Let c(w) = -5*w**2 - w. Let j(m) = -28*m**2 - 6*m. Let n(l) = 6*c(l) - j(l). Let b(d) be the third derivative of d**4/12 + d**2. What is n(b(i))? -8*i**2 Let g(r) = -9*r. Let b = -26 + 28. Let l(j) = -3*j**2 + 2*j - 2. Let d(o) = -o**2 + o - 1. Let y(f) = b*d(f) - l(f). Calculate g(y(u)). -9*u**2 Let a(y) = y**2. Let h be 40/(-15)*(-6)/8. Let q(j) = -h*j**2 - 6*j**2 + 4*j**2 - 4*j**2. Give q(a(c)). -8*c**4 Let h(b) = -b + 17900. Let t(a) = 2*a**2. Determine h(t(q)). -2*q**2 + 17900 Let p(o) = 2*o**2. Let f(i) = i. Let m(t) = 49*t**2 - 2*t + 36. Let v(u) = 2*f(u) + m(u). Let b(r) be the first derivative of v(r). Calculate b(p(w)). 196*w**2 Let v(w) = -5*w. Let n(m) = -4533*m - 2. Give n(v(y)). 22665*y - 2 Let b(v) = 4*v. Let n(y) = -10*y**2 - 2. Let f(m) = 21*m**2 + 5. Let t(p) = -2*f(p) - 5*n(p). Determine b(t(q)). 32*q**2 Let f(d) = 3*d**2 + 12*d. Let p(m) = 9*m - 81. Let u(n) = 4*n - 45. Let z(y) = -5*p(y) + 9*u(y). Determine f(z(g)). 243*g**2 - 108*g Let i(h) be the third derivative of h**5/12 + 7*h**2 + 1. Let g(v) = 17*v. Give i(g(x)). 1445*x**2 Let s(z) = 14*z. Let a(w) = 1534*w. What is a(s(n))? 21476*n Let v(g) = -g + 6. Let y(n) be the first derivative of -n**2/2 + 7*n + 1. Let w(o) = 7*v(o) - 6*y(o). Let b(i) = 3*i**2 + i. What is b(w(u))? 3*u**2 - u Let l(y) = -1. Let p(v) = 2*v + 4. Let x = 0 - -1. Let t(b) = x*p(b) + 4*l(b). Let m(c) be the second derivative of 3*c**3/2 - 109*c. Calculate m(t(j)). 18*j Let p(h) = h**2. Let c(a) = 0*a + 7*a - 25*a + 3*a. Determine p(c(k)). 225*k**2 Let n(h) be the second derivative of -h**6/360 - 19*h**4/12 - 13*h. Let x(l) be the third derivative of n(l). Let w(r) = 14*r. Calculate w(x(i)). -28*i Let f(n) be the third derivative of 1297*n**5/60 - n**2 + 52. Let w(m) = m**2. Determine w(f(v)). 1682209*v**4 Let a(m) = 316*m**2. Let t(h) = -10*h**2. Calculate a(t(o)). 31600*o**4 Let s(r) be the first derivative of r**2/2 + 152. Let c(h) = -3*h + 167*h**2 - 182*h**2 + 6*h. Calculate s(c(o)). -15*o**2 + 3*o Let j(c) be the third derivative of -5*c**4/8 + c**3/6 - 2*c**2 - 29. Let b(f) = 4*f. What is b(j(u))? -60*u + 4 Let n(g) = -2*g**2. Let f(j) be the third derivative of -3*j**4/8 + 6*j**2. Let c(v) = -3*v + 4*v - 4*v. Let t(m) = 8*c(m) - 3*f(m). Determine t(n(q)). -6*q**2 Let t(n) = 4*n**2. Suppose -2*p = p - 60. Let h be (138/2)/3 - (-18)/(-6). Let w(s) = -p*s - 5*s**2 + h*s + 2*s**2. Determine t(w(o)). 36*o**4 Let p(j) = -4*j - 2*j + 4*j. Let k(a) = -2*a - 2*a - 7*a - 14*a - 10*a. Give k(p(l)). 70*l Let h(f) = -2*f. Suppose 11*i = 14*i + 39. Let j = -10 - i. Let c(m) = j*m**2 + 2*m**2 + 3*m**2 - 5*m**2. What is c(h(u))? 12*u**2 Let q(j) = -1. Let m(x) = -3*x + 7. Let u(w) = -3*m(w) - 21*q(w). Let f(n) = -3*n. Determine u(f(r)). -27*r Let x(j) = 72 + 4*j**2 + 71 - 143 - 2*j**2. Let y(t) = 5*t**2 - 2*t. Determine x(y(m)). 50*m**4 - 40*m**3 + 8*m**2 Let q(w) = 14*w + 2. Let v(l) = 30 + 4*l**2 - 15 - 9 - 6. Determine v(q(u)). 784*u**2 + 224*u + 16 Let p(j) = -j. Let z(k) = -2*k - 7047. Give z(p(q)). 2*q - 7047 Suppose -84 = 4*o - 0*o + 3*j, -4*o - 4*j = 84. Let l = 27 + o. Let b(p) = 12*p - 12*p - l*p**2 - 2*p**2. Let g(d) = -2*d**2. Determine g(b(y)). -128*y**4 Let z(d) = 33*d - 7. Let l(u) = -38*u + 8. Let h(v) = -6*l(v) - 7*z(v). Let n(r) = 2*r. Give h(n(m)). -6*m + 1 Let b(d) = -24412*d. Let r(m) = 3*m**2. Determine r(b(h)). 1787837232*h**2 Let q(v) = 2*v. Let g = -29 + 31. Let z(l) = -12*l. Let o(d) = -36*d. Let t(x) = g*o(x) - 7*z(x). Calculate q(t(i)). 24*i Let q(g) = 4*g**2 - 5*g. Let f(h) = -6*h**2 + 7*h. Let u(p) = p**2 + 10*p - 6. Let s be u(-11). Let o(l) = s*f(l) + 7*q(l). Let w(m) = 15*m. Determine o(w(z)). -450*z**2 Suppose 2*c - 34 = 6. Let a(n) = 41 - 19 - c + 3*n. Let i(u) = -7*u - 5. Let m(f) = -5*a(f) - 2*i(f). Let q(y) = -2*y. What is q(m(g))? 2*g Suppose 0 = 3*a - 6 - 0. Let p(r) = -3*r + a*r + 2*r + 0*r. Let m(y) = 3*y. Let k(f) = f. Let j(z) = 7*k(z) - 2*m(z). Give p(j(w)). w Let o(n) = -5*n + 3 + 2 - 10 - 1. Let b(j) = j. What is b(o(k))? -5*k - 6 Let a(u) = 6*u + 40. Let r(n) = 2*n + 14. Let q(g) = 3*a(g) - 8*r(g). Let z(b) = 2*b**2. Determine q(z(f)). 4*f**2 + 8 Suppose 2*x - 3*x + 2 = 0. Let o(d) = -3*d + 3*d + 4*d**x - 3*d**2. Let k(s) = s. Let t(n) = 2*n. Let l(v) = 13*k(v) - 6*t(v). Give o(l(u)). u**2 Let n(w) = w**2 - 6*w**2 + 7*w**2. Let i(p) = 120*p. What is i(n(a))? 240*a**2 Let o(x) = 4*x + 3. Let r(w) = -5*w - 4. Let f(t) = 4*o(t) + 3*r(t). Let s(j) be the second derivative of j**4/12 + 511*j. Give s(f(z)). z**2 Let z(t) = 3*t - 14. Let j(s) = 2*s + 12. Determine j(z(a)). 6*a - 16 Let k(d) = -d. Let y(i) = -41*i**2 - 5318. Determine k(y(h)). 41*h**2 + 5318 L
{ "pile_set_name": "DM Mathematics" }
q - q + b - 16 = 0, 2*q = 3*b + f for q. -5 Let h(j) = 55*j - 1. Let x be h(1). Let y be (x/6 - 4) + -1. Let a(m) = m**2 + m + 2. Let i be a(2). Solve -3*p - 15 = -3*u, -y*p = u + 2*u - i for u. 4 Suppose 4*o + 1 - 9 = 0. Suppose 65*t - 69*t = -20. Solve -t*m = -z + 6, -4*m - o*z = -3*z + 5 for m. -1 Let d = -42 + 45. Suppose 22 - 22 = -d*u. Solve u*l + 10 = -l + 3*i, 0 = l + 4*i - 25 for l. 5 Suppose 11 = 2*g - 9. Suppose 4*p - 25 = -3*y, -p - 3*y + 19 = 2*y. Solve -p*f = -20, 5*f - 2*f = u + g for u. 5 Let k(o) = -o**3 + 6*o**2 + 3*o - 15. Let c be k(6). Suppose 2*f + 2*w + 4 = 0, -w + 1 = c*f - 3. Solve 0 = -4*s - x + 8, 0 = 2*s - 2*x + f + 3 for s. 1 Let a = 12 - 11. Let h be (8/20)/(a/5). Suppose -h*s - 3*s = -10. Solve p = -4*x + 11 + 9, -s*p - 5*x = -25 for p. 0 Let q be (-5 - 6)*(-1)/1. Let i be 2/((-9)/q - -1). Let l = 11 - i. Solve l = -5*k + x - 5, 2*x - 3 = 3*k - x for k. -1 Let c(a) = -a**2 - 11*a - 8. Suppose 5*i + 46 = -2*m, -2*m + 4 = -i - 10. Let q be c(i). Let x be ((-1)/q)/(16/(-64)). Solve -h - 7 = g, -g + h - 1 = x*g for g. -2 Let o(a) be the first derivative of 5*a**2/2 - 60*a - 32. Let i be o(13). Solve 0 = -2*n + i*u - 21, -4*n + u = -2*n + 1 for n. 2 Let x = -8 + 11. Suppose -x*r = -2*t - 4*r + 2, 0 = -5*t + r + 19. Let d = 26 - 21. Solve -t*h + 4 = 19, -5*b - d*h = 45 for b. -4 Let l(g) = 4*g**2 - g + 2. Let m = 33 - 31. Let k be l(m). Solve 5*t - q - 23 = -4*q, -4*q - k = -5*t for t. 4 Let w = -34 + 47. Let y = w + -13. Suppose -4*x = -y - 4. Solve 0 = 4*j + 4*t + 4, 3*t = -4*j - x - 0 for j. 2 Let z(f) = f**3 - 15*f**2 - f + 25. Let u be z(15). Let y = -10 + u. Solve 4 = 2*q, -4*q = 5*h - y*q + 12 for h. -4 Let q(b) be the first derivative of -b**4/4 - b**3 + b**2 + 4*b - 6. Let g be q(-3). Let y = 1 - g. Solve 6*i - 2*i - 21 = 5*l, 0 = y*i - l - 13 for i. 4 Suppose -5*i + 19 = -2*a, -a = 2*i - 18 + 5. Let n = 45 - 25. Suppose -a*u - 15 = -3*o, 2*u + u + 4*o = n. Solve p + 4*p - 5 = -5*l, -4*l = u for p. 1 Suppose 44*v - 36 = 35*v. Solve 9 = -5*c - b + 3, -4*c = -v*b + 24 for c. -2 Suppose -2*w - 4 = -4. Solve 2*l + 5*z = -0*l + 8, w = l + 2*z - 4 for l. 4 Let u be ((-504)/88)/(-7) + (-4)/(-22). Let y = 17 + -13. Let x be (30/(-2))/(-1) + -2. Solve h = 5*z + x, -h - u = z + y for z. -3 Suppose -3*a - 22 + 49 = 0. Let s = 17 + -12. Suppose g = -2*t + 3, t + 3 = g - 3. Solve j + g*k + a = 3*k, -s*k = 3*j + 22 for j. 1 Suppose -4*m - 3*m = -m. Let n(j) = 2*j**2 + 2*j + 4. Let h be n(m). Solve 0 = -4*v + v - 3*a + 15, -h*a = -8 for v. 3 Suppose 15 = 2*o + 9. Suppose 0*r = 4*r. Suppose -4 = -g - 2*b, -o*g + 2*b + 0 + 4 = r. Solve -3*a + 4*s = -26, 23 = g*a - 5*s - 6 for a. 2 Suppose 0 = -5*h + 4*h - 8. Let d be (-2)/h + 14/8. Let c be ((-2)/(-5))/((-514)/(-170) + -3). Solve -g - 5*z - 6 = 5, 0 = -d*g + 3*z + c for g. 4 Let s = 304 + -296. Solve 0 = -5*l - 4*j - 11, 0*j - s = 2*j for l. 1 Let j(t) = 9*t - 76. Let w be j(9). Solve -5*u - 5 = g, 0*u + 3*g - 5 = w*u for u. -1 Let p be ((-1)/(-4))/((-262)/(-3144)). Solve 4*j - 41 = -5*q, 7*q - p*q = -3*j + 32 for j. 4 Suppose 0 = -6*z - 0*z + 18. Let s be (-2)/(-3) + (-2)/z. Solve -2*h - 6 = -s*d - d, -5*h + 3 = 2*d for h. -1 Let z(u) = 3*u**2 - u + 32. Let k be z(-5). Suppose 19*c - k = 11*c. Solve 5*r - 2*x = 18, -c = -r - 0*r + 3*x for r. 2 Let r = 70 + -47. Let l = r + -18. Solve -w + l = 3*z, 5*z - 3*w - 4 = 23 for z. 3 Let c(m) = m + 1. Let i be c(-1). Suppose -k - k = 2*f - 12, -6 = -k - 2*f. Suppose -k*l - 9 = -27. Solve i = q + 2*q - 3*b + l, -12 = 4*q + 4*b for q. -2 Let u(k) = -12*k - 32. Let g be u(-3). Let c be (1 - -1) + 4/2. Suppose -c*d = -r - 27, -2*d + 5*r + 27 = -0*d. Solve d + 7 = -p + g*z, 5*z - 10 = -5*p for p. -1 Let y(h) = 4*h**3 - 11*h**2 + 11*h - 1. Let k be y(1). Solve 24 = -6*t + 10*t - k*c, 4*t = -2*c + 4 for t. 3 Let a be -5*(6 - 7) - -40. Solve 7*c = 2*c + 5*v + a, -4*c - v + 16 = 0 for c. 5 Let s = 342 - 203. Suppose s*u - 140*u + 2 = 0. Solve -p + u*d - 9 = 0, p - 3 = -2*d + 8 for p. 1 Let w = -24 + 36. Let n = w + -9. Solve -3*m - 5*o + 18 = -m, -n*m + 4*o + 4 = 0 for m. 4 Let c = -21 + 11. Let a = 14 + c. Suppose 0 = 25*o - 37*o + 132. Solve -r + a*g = o + 1, g - 2 = 0 for r. -4 Let p(r) = -3*r - 5*r + r - 15. Let x be p(-5). Solve -2*c - 9 + 1 = -z, x = 5*z - 5*c for z. 0 Let a = 16 - 12. Let n = 5 - a. Suppose 20 = 4*v + 4*h, -3*v + 14 = -3*h - n. Solve -3*j + 2*y - 20 = 2*j, v = -5*j - y for j. -2 Let q(t) = -t - 9. Let p be q(12). Let r = p + 23. Solve -2 = -c + r*b - 0, -2*c + 2*b = 2 for c. -4 Let d = 287 + -282. Solve -2*j + 27 - 3 = -4*t, -23 = j + d*t for j. 2 Let u be (1 + -2)*(1 - 19). Suppose -6*l + 2*l - u = -2*a, a = -l. Let d = l + 4. Solve 0 = 6*k - 4*k + 2, -r + d = 2*k for r. 3 Let g = -22 - -20. Let n(k) = -6*k - 10. Let z be n(g). Let l = 7 + -3. Solve z*o + 2*x = -14, l*o + 0*x = x - 18 for o. -5 Let r = -18 - -50. Solve 4*a = 3*b - 32, 0 = 4*a - 5*b + 8 + r for a. -5 Let o = 1 + -5. Let r be ((-1)/o)/(1/4). Suppose -7 - 3 = 5*j, -3*j - r = d. Solve -2*z + 1 = -1, 5*z = -5*w - d for w. -2 Suppose 3*f - 525 = -519. Solve 3*t - f*t + 3 = 3*v, 2*v - 2 = 2*t for v. 1 Suppose 5*t = 2*f - 9 + 3, 4*f = 5*t + 12. Solve -4*c + 5 = -3*n, n = -5*c + f*n + 15 for c. 5 Let w be 3/(-21) + 15/7. Let q be (8/(-12))/(w/(-3)). Let h be (-14)/28*(-6)/q. Solve 2*d = 4*x + 2 + 8, -h = x for d. -1 Suppose 0 = -10*x + 2 + 28. Solve s - 23 = -5*t + 4, -x*s + 1 = -t for t. 5 Let j(y) = y**2 - 21*y - 18. Let s = -31 - -53. Let m be j(s). Solve d - 10 = -3*r, -m*d + d + 22 = 5*r for d. 4 Suppose -5*w - 24 = 21. Let h be (w - -11)*1/2 + -1. Solve -2*s - 4*a + 22 = h, -s + 4*s - 30 = -5*a for s. 5 Let h = -118 + 122. Suppose -3*j + h = -23. Solve -5*d - j = 3*i - 2*d, 9 = -2*i + d for i. -4 Let p = 72 - 68. Let l be (-3)/(p/(40/(-15))). Solve 2*u = 5*r + 19, -4*u = -3*u - l for r. -3 Suppose 16*y - 130 = 29*y. Let r(l) = 11*l - l**3 - l**3 + 0*l**3 - 9*l**2 + 12 + l**3. Let f be r(y). Solve 3*t + 2 = u, 1 - 5 = -f*u - 2*t for u. 2 Let h = 138 - 136. Solve 0 = -5*s + h*v - 35 + 15, 2*s - 5*v = -29 for s. -2 Suppose 8*x - 4*x = 256. Let t = -63 + x. Solve 5*q + 25 = 0, 19 = -l - 4*q - t for l. 0 Let r(j) = -2*j**2 + 31*j - 40. Let a be r(14). Solve 2*c - o = -2, c = 3*o - 9 - a for c. 1 Suppose -3*r + 4*x = 8, -2*r + 3*x = 11 - 4. Suppose -5*l - 5*h = -40, -r*l + 4*h + h + 50 = 0. Solve -2*s - l = -5*m + 11, s = m - 6 for m. 3 Suppose 3*m + 308 = 10*m. Let d = m + -22. Solve -d + 9 = 3*s + 2*z, -3*z + 13 = -2*s for s. -5 Let h(k) be the first derivative of 5 + 1/2*k**2 + 36*k. Let b be h(0). Solve 5*z + 0*z = -d - 25, -4*z - b = 4*d for z. -4 Suppose 0 = g + 2*h + 10, 4*h - 9 = 3. Let s(j) = j**3 + 16*j**2 + 7. Let f be s(g). Solve -4*a = -2*i + f*i - 24, -4*a = -4*i + 12 for a. 1 Let r be (-4)/6*((-729)/18)/9. Suppose 3*t - 15 = 4*f + f, -2*f = 0. Solve -5*g + t = r*y, -g + 6*g + y = -5 for g. -2 Let i be 1*(5 - (-15)/(-5)). Solve 2*r - i*k - 6 = 0, r + 1 = -k - 2 for r. 0 Suppose 5 = 5*u - 0. Let d be ((-35)/(-60))/(2/6)*20. Suppose d - 3 = 8*x. Solve -u = -x*p + p - o, 4*p = -2*o + 4 for p. -1 Let a be (-133)/(-42) - (-2)/(-12). Let i(w) = 4 - 6*w + a*w**2 - 7 - 1 - 2*w**2. Let l be i(7). Solve 0 = 5*u + 5*y + 10, -5*u = -l*u - 3*y - 21 for u. 3 Suppose -j - 5*j = -192. Let u = -21 + j. Let z = 14 - u. Solve 2*i = k + 2, 4*k + 4*i - 1 = z for k. 0 Suppose 4*o - 13 = 3*u, 2*o - 6 = -0*u + 2*u. Suppose -46 + 55 = 3*z. Let h(a) = -4*a + 12. Let l be h(z). Solve o*j + 2*w = -2*w - 24, l = j - 4*w - 14 for j. -2 Suppose 73*u - 443 + 151 = 0. Solve u*t - 5*t - q = 5, 13 = -t - 3*q for t. -1 Let y = 102 - 99. Solve s + 4*s + 16 = -y*q, 3*q + 4 = s for q. -2 Let q(s) = s**3 + 5*s**2 - 7*s - 6. Let h be q(-6). Let k = -149 - -150. Solve i + h = -u + k, u + 2*i - 2 = 0 for u. 0 Suppose 2*h = h. Let m = h + 3. Solve -4*w = 3*o + 2*o + 11, 3*w = m for o. -3 Suppose 0 = -0*k + 6*k - 24. Let t = 8 - 3. Solve 3*p - t*o - 2 = -4*o, o = 5*p - k for p. 1 Suppose 0 = -2*z + 2*n - 2, -3*n + 18 = 3*z + n. Suppose -p = 3*b, 2*p - b = 3*b + 10. Suppose -p = -d + 1. Solve -36 = 5*s + 4*g, z*g = 5*s - d + 16 for s. -4 Suppose 5*s + 0*k - 70 = -k, 2*k - 14 = -s. Let g(m) = -m**3 + 12*m**2 + 29*m + 7. Let o be g(s). Solve 0 = 3*p - 4*n + o, -p + 4*n = -3*p + 6 for p. -3
{ "pile_set_name": "DM Mathematics" }
1118)**3/2 Factor -9*d**2/7 + 681*d/7 + 228/7. -3*(d - 76)*(3*d + 1)/7 Factor 3*p**4/5 + 519*p**3/5 + 4437*p**2 - 22707*p/5. 3*p*(p - 1)*(p + 87)**2/5 Factor 26*k**2 + 102*k + 76. 2*(k + 1)*(13*k + 38) Determine p so that -5*p**5 - 75*p**4 - 270*p**3 + 160*p**2 + 1440*p = 0. -9, -4, 0, 2 What is p in 4*p**5/17 + 130*p**4/17 - 558*p**3/17 - 1980*p**2/17 - 1296*p/17 = 0? -36, -3/2, -1, 0, 6 Suppose 21*r**5/5 - 288*r**4/5 - 2856*r**3/5 - 7218*r**2/5 - 1161*r - 1134/5 = 0. Calculate r. -3, -1, -2/7, 21 What is x in 1587*x**3/7 - 2001*x**2/7 + 63*x - 27/7 = 0? 3/23, 1 Factor -q**2/3 - 304*q - 69312. -(q + 456)**2/3 Determine o, given that o**2 - 50*o + 141 = 0. 3, 47 Factor 5*l**3 - 5*l**2 - 5*l + 5. 5*(l - 1)**2*(l + 1) Solve -4*r**4/5 + 188*r**3/5 - 576*r**2 + 13312*r/5 + 16384/5 = 0. -1, 16 Let -3*u**2/2 - 4*u/3 + 1/6 = 0. What is u? -1, 1/9 Factor -2*g**5/11 + 18*g**3/11. -2*g**3*(g - 3)*(g + 3)/11 Find m such that -25*m**5 + 695*m**4 - 2365*m**3 - 9115*m**2 + 410*m + 6440 = 0. -2, -1, 4/5, 7, 23 Determine q so that -4*q**4 + 204*q**3 - 392*q**2 = 0. 0, 2, 49 Let -3*v**3 + 2538*v**2 - 715716*v + 67277304 = 0. What is v? 282 Factor -2*z**3/3 + 28*z**2/3 + 8*z/3 - 112/3. -2*(z - 14)*(z - 2)*(z + 2)/3 Factor 25*z**2/3 - 1655*z/3 + 650. 5*(z - 65)*(5*z - 6)/3 Factor 3*c**4/5 - 849*c**3/5 + 16821*c**2 - 3255531*c/5 + 33838512/5. 3*(c - 89)**3*(c - 16)/5 Find u such that -3*u**5/7 - 15*u**4 - 738*u**3/7 + 2874*u**2/7 - 3099*u/7 + 153 = 0. -21, -17, 1 Factor 2*t**2 - 40*t + 38. 2*(t - 19)*(t - 1) Let 75*u**4/2 + 365*u**3 + 1603*u**2/2 + 606*u + 126 = 0. Calculate u. -7, -6/5, -1/3 Let -69*k**4 - 2210*k**3 - 17728*k**2 - 512*k = 0. What is k? -16, -2/69, 0 Determine w so that -18*w**3/13 + 4126*w**2/13 - 916*w/13 = 0. 0, 2/9, 229 Solve -2*o**5 - 10*o**4 + 4*o**3 + 20*o**2 - 2*o - 10 = 0 for o. -5, -1, 1 Factor -3*b**4 - 6*b**3 + 3*b**2 + 6*b. -3*b*(b - 1)*(b + 1)*(b + 2) Factor 5*q**2 + 40*q + 80. 5*(q + 4)**2 Solve g**2/4 - 191*g/2 + 381/4 = 0. 1, 381 Factor -s**2/4 + 115*s/4 - 113/2. -(s - 113)*(s - 2)/4 Factor -r**3/4 + 213*r**2/4 - 15123*r/4 + 357911/4. -(r - 71)**3/4 Factor -3*d**3 - 156*d**2 - 1680*d + 9408. -3*(d - 4)*(d + 28)**2 Determine d so that d**5/3 + d**4/3 = 0. -1, 0 Solve -4*m**5 - 26*m**4 + 126*m**3 - 136*m**2 + 40*m = 0 for m. -10, 0, 1/2, 1, 2 Determine k, given that -4*k**5 + 108*k**4 + 24*k**3 - 680*k**2 + 876*k - 324 = 0. -3, 1, 27 Factor 2*u**4 - 178*u**3 - 2*u**2 + 178*u. 2*u*(u - 89)*(u - 1)*(u + 1) Factor -4*f**5/7 + 107*f**4/7 - 78*f**3/7. -f**3*(f - 26)*(4*f - 3)/7 Determine u, given that -4*u**3 + 84*u**2 + 184*u = 0. -2, 0, 23 Factor -c**3/4 - c**2/4 + 65*c/4 + 225/4. -(c - 9)*(c + 5)**2/4 Suppose -o**2/3 - 806*o/3 = 0. What is o? -806, 0 Find k, given that -2*k**3 - 410*k**2 - 21216*k - 20808 = 0. -102, -1 Factor -2*t**3 - 44*t**2 + 326*t - 280. -2*(t - 5)*(t - 1)*(t + 28) Solve -t**4/2 + t**3/2 + 5*t**2 + 4*t = 0 for t. -2, -1, 0, 4 Find u, given that -14*u**4 + 5440*u**3 - 3710064*u**2/7 + 2110720*u/7 - 301088/7 = 0. 2/7, 194 Find x such that 3*x**5 - 6*x**4 - 48*x**3 + 6*x**2 + 45*x = 0. -3, -1, 0, 1, 5 Factor -2*d**2/15 - 106*d/5. -2*d*(d + 159)/15 Find y such that 135*y**3 + 195*y**2 + 50*y = 0. -10/9, -1/3, 0 Find l, given that 9*l**4 + 16*l**3 - 4*l**2 = 0. -2, 0, 2/9 Factor -2*c**2/7 - 428*c/7 - 22898/7. -2*(c + 107)**2/7 Factor -4*w**2 - 28*w + 176. -4*(w - 4)*(w + 11) Suppose -33*x**2 + 2139*x + 390 = 0. Calculate x. -2/11, 65 Determine q, given that 44*q**3 - 80*q**2 - 16*q = 0. -2/11, 0, 2 Solve 2*v**5 - 40*v**4/7 - 34*v**3/7 + 164*v**2/7 - 88*v/7 - 16/7 = 0. -2, -1/7, 1, 2 Factor -10*a**3 - 28*a**2 - 16*a. -2*a*(a + 2)*(5*a + 4) Factor p**3/7 - 32*p**2/7 + 57*p/7 + 90/7. (p - 30)*(p - 3)*(p + 1)/7 Determine d, given that -2*d**3/13 - 56*d**2/13 + 2*d/13 + 56/13 = 0. -28, -1, 1 Factor 3*g**2 - 10596*g + 9356268. 3*(g - 1766)**2 Let 2*k**3/7 - 328*k**2/7 - 662*k/7 - 332/7 = 0. What is k? -1, 166 Factor -2*j**3/3 - 3012*j**2 - 3399040*j + 20430400/3. -2*(j - 2)*(j + 2260)**2/3 Factor -2*j**2/7 - 46*j/7 - 12. -2*(j + 2)*(j + 21)/7 Find z such that -161429814*z**2/11 - 124488*z/11 - 24/11 = 0. -2/5187 Factor -2*o**3/15 + 8*o/15. -2*o*(o - 2)*(o + 2)/15 Factor -2*b**5/9 - 26*b**4/9 - 8*b**3/3. -2*b**3*(b + 1)*(b + 12)/9 Factor v**2 - 50*v - 464. (v - 58)*(v + 8) Factor -2*o**4/17 + 104*o**3/17 - 294*o**2/17. -2*o**2*(o - 49)*(o - 3)/17 Let 5*i**3 - 55*i**2 + 180*i - 180 = 0. Calculate i. 2, 3, 6 Factor 4*q**3 + 24*q**2 + 12*q - 40. 4*(q - 1)*(q + 2)*(q + 5) Let 4*t**3 + 308*t**2 + 604*t + 300 = 0. What is t? -75, -1 Factor -2*z**4 - 36*z**3 - 70*z**2 + 588*z. -2*z*(z - 3)*(z + 7)*(z + 14) Let 7*q**5 - 1543*q**4/2 + 3317*q**3/2 + 1671*q**2 + 324*q = 0. Calculate q. -1/2, -2/7, 0, 3, 108 Solve a**5/6 + 2*a**4/3 - 19*a**3/6 + 7*a**2/3 = 0 for a. -7, 0, 1, 2 Find a, given that -5*a**4/7 + 2*a**3 + 20*a**2/7 - 62*a/7 + 33/7 = 0. -11/5, 1, 3 Find l such that -4*l**4/3 + 362*l**3/9 - 248*l**2/3 + 50*l - 56/9 = 0. 1/6, 1, 28 What is f in -2*f**5/3 - 2*f**4 + 44*f**3/3 - 76*f**2/3 + 18*f - 14/3 = 0? -7, 1 Solve -3*g**2 + 342*g - 9747 = 0 for g. 57 Factor 4*b**2 - 1288*b - 2592. 4*(b - 324)*(b + 2) Factor 2*f**2/5 - 232*f/5 + 6728/5. 2*(f - 58)**2/5 Solve -2*k**4/9 - 2*k**3/9 + 10*k**2/9 - 2*k/3 = 0. -3, 0, 1 Let -2*r**3/11 - 296*r**2/11 - 6240*r/11 - 35712/11 = 0. What is r? -124, -12 Solve -l**2/4 + 11*l/2 + 12 = 0 for l. -2, 24 Let -k**4/7 + 48*k**2/7 - 128*k/7 = 0. Calculate k. -8, 0, 4 Factor 6*g**4/5 + 42*g**3/5 + 36*g**2/5 - 168*g/5 - 48. 6*(g - 2)*(g + 2)**2*(g + 5)/5 Find f such that -f**5/6 + 24*f**4 + 752*f**3/3 + 2744*f**2/3 + 1432*f + 2464/3 = 0. -4, -2, 154 Determine v, given that -4*v**3/11 + 31*v**2/11 + 8*v/11 = 0. -1/4, 0, 8 Let 12*w**4 - 687*w**3 - 3549*w**2 + 930*w = 0. What is w? -5, 0, 1/4, 62 Find w, given that 36*w**3 + 4548*w**2 - 3044*w + 508 = 0. -127, 1/3 Let f**4/9 + 116*f**3/9 + 3124*f**2/9 - 4640*f/3 + 1600 = 0. What is f? -60, 2 Let -2*r**4/11 - 52*r**3/11 - 346*r**2/11 - 680*r/11 = 0. What is r? -17, -5, -4, 0 Determine s so that -s**3/9 + 4*s**2/9 + 5*s/9 = 0. -1, 0, 5 What is u in -u**2/3 + 2*u + 16/3 = 0? -2, 8 Solve 25*g**4 - 140*g**3 + 165*g**2 - 10*g - 40 = 0 for g. -2/5, 1, 4 Suppose 2*r**4/5 + 2*r**3 + 2*r**2 - 2*r - 12/5 = 0. What is r? -3, -2, -1, 1 Factor 2*r**4 + 42*r**3 + 36*r**2 - 80*r. 2*r*(r - 1)*(r + 2)*(r + 20) Suppose r**2/2 - 19*r/2 = 0. Calculate r. 0, 19 Determine q so that -q**3/2 - 9129*q**2/2 - 10419612*q - 10415048 = 0. -4564, -1 Let l**4/3 - l**3 - 4*l**2/3 + 4*l = 0. What is l? -2, 0, 2, 3 Factor 4*c**3 + 16*c**2 + 12*c. 4*c*(c + 1)*(c + 3) Suppose 4*k**5/9 + 20*k**4/9 + 8*k**3/3 - 8*k**2/9 - 28*k/9 - 4/3 = 0. Calculate k. -3, -1, 1 Determine l, given that l**4/3 - 11*l**3/3 - 20*l**2/3 + 28*l + 48 = 0. -2, 3, 12 Factor 2*a**2/9 - 100*a/9 - 1184/3. 2*(a - 74)*(a + 24)/9 Factor 4*b**2 - 128*b + 880. 4*(b - 22)*(b - 10) Factor -64*n**3 + 352*n**2 - 164*n + 20. -4*(n - 5)*(4*n - 1)**2 Let 22*r**2/5 - 116*r = 0. What is r? 0, 290/11 Suppose y**3 + 610*y**2 - 1223*y + 612 = 0. Calculate y. -612, 1 Factor 2*d**4/5 + 4*d**3 + 14*d**2/5 - 36*d/5. 2*d*(d - 1)*(d + 2)*(d + 9)/5 Factor -3*t**3 + 90*t**2 - 819*t + 2352. -3*(t - 16)*(t - 7)**2 Suppose -n**5/2 - 59*n**4/4 - 443*n**3/4 - 869*n**2/4 - 635*n/4 - 38 = 0. What is n? -19, -8, -1, -1/2 Suppose i**3/6 - 13*i**2/6 + 20*i/3 = 0. What is i? 0, 5, 8 Suppose 36*m**5 - 6348*m**4 + 45244*m**3 - 106660*m**2 + 89376*m - 24336 = 0. What is m? 2/3, 3, 169 Factor -2*p**3/11 - 34*p**2/11 - 92*p/11 + 336/11. -2*(p - 2)*(p + 7)*(p + 12)/11 Factor t**3/3 + 26*t**2/3 + 92*t/3 + 88/3. (t + 2)**2*(t + 22)/3 Solve b**2 + 106*b - 216 = 0 for b. -108, 2 Factor -2*r**3/5 + 30*r**2. -2*r**2*(r - 75)/5 Factor -4*v**2 - 136*v + 1344. -4*(v - 8)*(v + 42) Factor 5*f**3 + 1260*f**2 + 78105*f - 161290. 5*(f - 2)*(f + 127)**2 Factor -3*c**4 - 9*c**3 + 9*c**2 + 21*c - 18. -3*(c - 1)**2*(c + 2)*(c + 3) Solve -49*i**5/2 - 133*i**4 - 114*i**3 + 100*i**2 - 16*i = 0 for i. -4, -2, 0, 2/7 Factor -3*b**3 - 150*b**2 + 153*b. -3*b*(b - 1)*(b + 51) Suppose -y**5 - 10*y**4 - 31*y**3 - 22*y**2 + 32*y + 32 = 0. Calculate y. -4, -2, -1, 1 Factor -4*y**3 + 320*y**2 - 6068*y - 13448. -4*(y - 41)**2*(y + 2) Let 21*q**2/2 + 17*q/2 - 69 = 0. What is q? -3, 46/21 L
{ "pile_set_name": "DM Mathematics" }
). Let w be u/(-15) + 2/6. Let n = w - -23. Is n prime? True Let c(g) = 4007*g**2 - 16*g + 18. Is c(1) prime? False Let r(x) = 2*x**3 - 2*x**2 + 2*x + 1. Let z be r(5). Let o = -211 - z. Is (-21)/14*o/3 a composite number? False Let n(x) = x + 11. Suppose 0 = 3*w - 2*w - 20. Let a be (3/6)/((-2)/w). Is n(a) a composite number? True Let x(h) = -h**2 - 6*h + 12. Let c be x(-7). Suppose -4*z - c*r = -12896, -r = -2*z - z + 9691. Is z prime? True Let u(i) = 209*i**3 + 5*i**2 - 5*i + 2. Is u(1) prime? True Let i(v) = -256*v + 4. Let f be i(-7). Let c = -1244 + f. Let w = c - -127. Is w a prime number? False Suppose 2*o + 1 - 7 = 0. Suppose -3*v + 2*r + o*r + 4058 = 0, -r + 6810 = 5*v. Is v a composite number? False Suppose 7*r = -24 - 4. Is 30/60 - 2*4101/r a composite number? True Let s(c) = -59*c**2 + 2*c + 4. Let o be s(-2). Let r = o + 1123. Is r prime? True Is 27361 - (-3 - -5 - 1)*0 prime? True Let t be (0 - -3*2982) + -5 + 5. Let h = t + -5513. Is h prime? True Suppose 2*c = -3*v + 1005 + 3904, 4*v - 4*c - 6552 = 0. Is v prime? True Suppose 3 = j - 5. Let l(r) = -j*r + 7*r**2 - 4 - 19*r**2 - r**3 + 4*r**2. Is l(-9) prime? True Let v(h) = 6*h**2 - 6*h - 7. Let q be (-1 + 1)/2 - -3. Suppose 3*c = -2*c + b + 24, 2*b = q*c - 13. Is v(c) a prime number? True Let r(l) = 8*l**3 + l**2 - 3*l + 3. Suppose s + 4 = 2. Let i be 1 - (1 - 4 - s). Is r(i) composite? True Suppose -c + 122 = 2*d, -10*d + 230 = 2*c - 13*d. Suppose -5*y = -172 - 33. Let s = c - y. Is s a prime number? False Let v be 1255*1/(-4)*-4. Suppose 20*z - v = 15*z. Is z prime? True Suppose i - 9 = -2*i, 24 = 3*h - 2*i. Suppose h*u - u - 3771 = 0. Is u a prime number? True Is (-17)/((-357)/(-14))*42153/(-2) a composite number? False Is -2 + (-3 - -1) + -1 + 62 a composite number? True Suppose -8*a + 4436 = -127860. Is a composite? True Suppose -4*g - 10 = 2*o + 8, 2*g = -2*o - 6. Let f be (-4137)/g - (-5)/10. Let c = f + -373. Is c composite? False Let v(j) = -1681*j + 3. Is v(-8) prime? True Let p(z) = -22*z - 4. Let t be p(-3). Let s = t - 36. Is s a prime number? False Let z(h) = h**3 - 10*h**2 - 10*h + 3. Let m be z(11). Let j(c) = 3*c**3 + m*c**2 - 7*c - 10*c**3 + 6*c**3 - c**2 - 20. Is j(11) composite? True Let r be (2 + 1/(-1))*3. Let b be (3322 - 1)/r - 0. Let g = b + -638. Is g prime? False Suppose 6*h - 2*h - 2*q + 622 = 0, -q = h + 154. Let j = -1461 - -967. Let v = h - j. Is v a composite number? True Let m(s) = 67*s - 5. Let z be m(1). Let b = 543 - z. Is b prime? False Let o = 10 - -1. Suppose 8*w - o*w - 558 = 0. Let q = w - -445. Is q prime? False Let c(o) = 10*o**2 + 1. Let l = 26 + -13. Suppose -5*q - h = 2*h + 12, 4*h - l = 3*q. Is c(q) composite? True Let a(w) = -474*w**2 - 2*w + 2. Let o be a(-2). Let t = 3081 + o. Is t prime? False Let c(l) be the first derivative of -88*l**2 + 7*l + 25. Is c(-5) composite? False Let p(b) = 62*b**2 + 9*b - 2. Is p(-7) a prime number? False Let t(w) be the second derivative of -115*w**3/2 - 5*w**2/2 - 9*w. Is t(-2) a composite number? True Let z = 783 + -1948. Let u = -824 - z. Is u prime? False Suppose -3*a + 5*c - 71 = 0, 0*a + 84 = -2*a - 4*c. Let v = 223 + a. Is v prime? True Suppose -8*j + 20 - 4 = 0. Let p(s) = 146*s + 1. Is p(j) prime? True Suppose 3*o - 24654 - 5748 = -3*u, o = -4*u + 40533. Is u prime? True Let k = 511 + -36. Suppose 4*y + 3*h = 1243 + k, 6 = -3*h. Is y a composite number? False Let q(i) = 11*i + 5. Let g be q(-1). Is (4 + g - -3) + 294 composite? True Let u = 106 + -504. Is (-3)/18 + u/(-12) composite? True Let d = -1375 - -2358. Is d a prime number? True Suppose -414*p = -406*p - 38680. Is p a composite number? True Suppose -5*t - 5404 = -4*m, m + 3*t - 1351 = -0*m. Is m prime? False Let b be 200/30*6/5. Let w be (1 - 3)*(-4)/b. Is 0 + w + 214 + 6 prime? False Let x = 14 + -13. Is (2 + -1264)*x/(-2) a composite number? False Let v(u) = -2 - 3 + 4 - 24*u - 4. Let h = 6 - 13. Is v(h) a composite number? False Suppose 11*b - 8333 = -2*b. Is b prime? True Suppose 2*z = -l + 3891 + 200, 5*z = 0. Is l a composite number? False Let b = 4 + -3. Let n be b + 2 - (1 - -2). Suppose -2*z - 2*z + 388 = n. Is z a prime number? True Let y(b) = b + 110. Let o be y(0). Let w be (-20)/o - (-64)/(-11). Let c(u) = 3*u**2 + 8*u - 1. Is c(w) a composite number? False Let v = -45 - -45. Suppose 4*q + 274 - 1150 = v. Is q prime? False Let r(k) = -553*k + 160. Is r(-37) prime? False Suppose -29*u = -4*w - 28*u + 1177, 0 = 5*w + u - 1478. Is w composite? True Suppose 15*g + 225 = 6*g. Let h = 356 + g. Is h prime? True Suppose -3*v = -5*l - 895 + 118, 0 = -3*v - 4*l + 777. Is v prime? False Suppose 0*b - 18770 = -b - 3*k, 0 = 5*b - 3*k - 93904. Is b a prime number? False Is 266126/49 + 1/(-11 - -4) composite? False Suppose -3*h + 3*g + 13615 = -2*g, -h - 5*g + 4525 = 0. Is h a composite number? True Let k = -250 - 225. Let l = 871 - k. Is l a prime number? False Suppose 1942*a - 1949*a = -67585. Is a composite? True Let n be 2/(-5)*(-50)/2. Suppose 6*q - n = 4*q. Suppose d = -2*d + 9, d + 1262 = q*i. Is i prime? False Let y(o) = 11*o**2 - 10. Let u(i) = -i**2 + 3*i + 15. Let d be u(6). Is y(d) prime? True Let c(v) = -40*v - 1 - 4*v**2 + 25*v + 7*v**2. Is c(12) a prime number? True Suppose -1335 = -5*d + 5*n, 141 - 675 = -2*d + 5*n. Let f = d - -386. Is f a composite number? False Suppose -n + 3420 = 3*z + 2*n, 0 = -4*z - n + 4569. Suppose -13*k + z = -4*k. Is k prime? True Suppose 56*z = 28*z + 1067164. Is z a prime number? True Let g(b) = 42*b**2 - 16*b + 45. Is g(8) prime? False Let s = -45 + 47. Is 2*(s/9 - 17511/(-54)) a prime number? False Is (-4)/(-6)*(-1005)/(-10) prime? True Suppose 0 = -5*x - 16*k + 12*k + 7627, -4*x + 6107 = 5*k. Is x a prime number? True Is 21957 + (-63)/(-7) + -3 prime? False Suppose -3*r - 5409 = -5*o + 1035, r + 2152 = 3*o. Let s = 3185 + r. Is s a composite number? True Let u be -29*(-84 - 0/3). Let x = 379 + u. Is x prime? False Let n(v) = 5*v**3 + 4*v**2 - 12*v + 17. Let d(r) = 4*r**3 + 5*r**2 - 13*r + 17. Let t(z) = -3*d(z) + 2*n(z). Is t(-7) a composite number? True Suppose -2*v = v. Let y be 38/10 + (-4)/(-20). Suppose v = 2*z - y*z + 92. Is z prime? False Let x(n) = 2*n + 1. Let o(m) = -3*m - 1. Let d(v) = 3*o(v) + 2*x(v). Let w be d(-1). Suppose -3*u - 232 = -4*b, 5*u + 169 = 3*b + w*u. Is b composite? True Let v(n) be the first derivative of -2*n - 7 - 213/2*n**2. Is v(-1) composite? False Let r = -37 + 35. Is 53/(3 + -3 - r/10) a composite number? True Let j(u) = -96 - 3*u**2 + 106 - 7*u + 2*u**2. Let y be j(-8). Suppose 4*d - 169 = q + 171, 0 = -d + y*q + 85. Is d a composite number? True Let v(z) = 7*z**3 + 0*z + 0*z**3 - 2*z**2 - 4 - 5*z**3 + z. Let g be v(3). Suppose 127 - g = 2*j. Is j prime? False Let r(k) = -k**3 + 2*k**2 - 4*k - 2. Let f be r(-5). Let u = f - 19. Let d = u + 127. Is d prime? False Let x be 2/(-2)*(6 - -1). Let i(o) = 3*o - 1. Let v be i(1). Is (-1560)/(-21) + v/x composite? True Let u be ((-22)/(-4))/((-16)/(-18112)). Suppose -3*v - 8*v + u = 0. Is v a composite number? True Suppose 108 + 137 = k. Suppose -k = 5*o + 5*v, 30 = 5*v + 10. Let j = o - -186. Is j prime? False Let u be 29 + (0/1 - 3). Let l be (-54)/(-1)*(-2)/(-3). Suppose -2*p = -l - u. Is p prime? True Is 12249/(-6)*(-2)/(-6)*-2 a composite number? False Suppose -2*l = -3*q + 1975, l - 1304 = -2*q - 4*l. Is q - 16/(16/4) a prime number? True Let f(b) = -4*b**3 + 3*b**2 - b - 1. Let o be f(1). Is 21*((-10)/(-3) + o) a prime number? True Let p = 1553 + -423. Suppose -2*i + 2210 = 5*w - w, 0 = -i + 3*w + p. Is i prime? False Suppose 15*x - 20*x - d = -129091, 0 = 3*d + 12. Is x prime? True Let m(x) = 81*x**2 + x + 21. Let c(h) = -40*h**2 - h - 10. Let i be (-1428)/(-132) + 2/11. Let b(a) = i*c(a) + 6*m(a). Is b(-7) prime? False Suppose 0 = 4*c - 2*c + 2, -c - 16886 = -5*g. Is g composite? True Let m be (-26978)/63 - 2/(-9). Let h = m + 605. Is h a prime number? False Let a = 43301 - 22708. Is a prime? True Is (-2)/(1/3 - 25729/76989) composite? False Suppose 5*o - 362399 = 5*t - 8*t, -t = -2*o + 144964. Is o a composite number? False Suppose -4*v - 96 = -4840. Suppose 3 = x, -2*n - 8*x + 4*x = -v. Is n prime? True Suppose -4*n - 56173 = -17*n. Is n a prime number? False Is (-15238)/(-3)*1*(-6)/(-4) a p
{ "pile_set_name": "DM Mathematics" }
. Is 13 a factor of n? True Suppose -14 + 6 = -4*y. Suppose 0 = -q + y*q - 53. Is 16 a factor of q? False Let t(b) = b**2 - 4*b - 8. Let q be t(6). Let i be (-30)/(-9)*6/q. Suppose l + 96 = i*l. Is l a multiple of 12? True Let o(t) = 5*t - 6. Suppose 4*x - 39 = -x - 4*y, -5*x - 3*y = -38. Is o(x) a multiple of 9? False Suppose 3*q + 105 = 5*p, 4*p + q - 57 = -2*q. Is p a multiple of 18? True Suppose 0*v - 48 = -4*v. Let o = 9 + v. Is 9 a factor of 6/(-1 - o/(-15))? False Suppose -4*a = -5*q + 68 + 222, 5*q + 5*a - 335 = 0. Is 10 a factor of q? False Let q = -6 + 9. Let t = -5 + 27. Let p = t - q. Does 18 divide p? False Let z(s) = 4*s**3 - 9*s**2 + 11*s - 5. Let g(n) = 5*n**3 - 9*n**2 + 12*n - 6. Let w be (-8)/28 + 78/(-21). Let x(a) = w*z(a) + 3*g(a). Is 16 a factor of x(6)? False Suppose -2*o - 3*o = 3*h + 136, -o = h + 28. Let p be 8/10 - (198/(-15) - 1). Let u = p - o. Is 11 a factor of u? False Let l(n) = -5*n + 3. Let f(b) = 4*b - 2. Let s(j) = 4*f(j) + 3*l(j). Let g be s(4). Suppose g*i + 12 = 7*i. Is 6 a factor of i? True Suppose 2*s = 10 + 2. Let d = 27 - s. Does 6 divide d? False Let y be -2 + -10 - 1*-2. Let z be (-4)/10 + 216/(-10). Let k = y - z. Does 12 divide k? True Let d(u) be the third derivative of -u**6/60 - 2*u**5/15 - u**4/6 - u**3/3 - 7*u**2. Is 16 a factor of d(-5)? False Let j(b) = -2*b + b**2 + 0*b + 4 + 5*b. Let z be j(-3). Suppose -z*g - n + 10 = -6, 4*g = -4*n + 16. Does 4 divide g? True Let t(d) = -11*d + 1. Let o be 4/(-18) + (-14)/18. Let f be 10/(-8) + o/(-4). Is 5 a factor of t(f)? False Let u = 141 - -123. Is u a multiple of 44? True Let z(l) = -119*l + 2. Is 18 a factor of z(-1)? False Suppose 2*w - 10 = 0, -5*n + 160 = -4*w + 5. Is n a multiple of 5? True Let u = 36 + -25. Is 10 a factor of u? False Suppose 0 = 5*w - 2*x - 114, x - 3*x = 4*w - 84. Let s = w - 14. Is s a multiple of 8? True Let h(t) = 48*t**3 - 2*t**2 + 2*t**2 - t**2. Is 19 a factor of h(1)? False Let m be (-354)/10 - 10/(-25). Let t be (2/2)/((-7)/m). Suppose i + t*g - 117 = -3*i, 109 = 4*i - 3*g. Does 8 divide i? False Suppose -5*y + 2 = -13. Suppose -y*i = -4 - 5. Suppose -u = -i + 1. Is u even? True Let n(l) be the second derivative of -l**3/3 + 3*l**2 + 2*l. Does 14 divide n(-11)? True Let z(v) = v**2 - v + 1. Let m be z(2). Let x = -4 + 0. Let t = m - x. Is t a multiple of 3? False Suppose 0 = -h - 4*h. Is 6 a factor of 13 - (4/4 + h)? True Is 19 a factor of -10*(-14)/4*2? False Let l = 31 + -50. Let k = 42 - l. Is k a multiple of 24? False Let d(v) = 2*v**2 + 6*v - 3. Let k = 0 - 5. Let g be d(k). Suppose -o - g = -2*o. Does 9 divide o? False Let r be 276/8 + (-2)/(-4). Let x be (2 - 1)*(2 + 16). Let t = r - x. Is t a multiple of 10? False Let w = 7 + -4. Suppose w*k - k = 18. Does 9 divide k? True Let g = 8 - 4. Suppose g*t + 0*t - 240 = 0. Let x = t + -41. Is x a multiple of 15? False Let i = 173 - 119. Is 9 a factor of i? True Let j be 12/8*8/3. Suppose -j = -0*r - 2*r. Suppose 0*n - 5*n + 55 = -r*h, 46 = 4*n - 2*h. Is n a multiple of 9? True Suppose 0*v + 2*v = -6. Let k(i) = i + 10. Is 2 a factor of k(v)? False Suppose 0 = -0*m + m - 4. Suppose -2*n + 7*n - 15 = 0. Is 2 a factor of m + (-6)/n + 2? True Suppose 2*x + 3*c = 35 - 3, -50 = -3*x - 5*c. Is 10 a factor of x? True Let o(q) = -q**2 + 3*q + 2. Let k be o(3). Suppose k*p + 0*p = 6. Suppose -3*x = -2*v - p + 31, 4*x - 42 = -3*v. Is 10 a factor of v? False Let l be 3*-1*12/18. Is (14/(-2))/(l/4) a multiple of 4? False Suppose 5*t - 3*t = 34. Does 14 divide t? False Let g = 25 - 10. Is 7 a factor of g? False Let k be -2 + -1 + 1 - -2. Let w be k/2 - (0 - 2). Suppose z - 18 = w. Does 10 divide z? True Suppose 106 = 3*i - 5*h, 5*i + 3*h - 132 = 22. Is 6 a factor of i? False Let i = 285 - 43. Does 11 divide i? True Suppose 4*f = -2*o + 8, o = 5*o - 2*f - 6. Suppose -2*p - o*p + 5*q + 29 = 0, -4*q = 3*p - 14. Does 2 divide (10/p)/(2/6)? False Suppose -5*u - 2*y + 3 = 1, 5*u + 5*y = 5. Suppose 5*o - 74 - 61 = u. Is 9 a factor of o? True Let w be 13/5 - (-2)/5. Let f = -4 + w. Does 14 divide -28*1/f*1? True Let w(a) = -3*a**2 - 11*a - 4 + 2*a + a**2 + 3*a**2. Let y be w(5). Is (5/((-10)/y))/1 a multiple of 12? True Is 2/11 + 4548/33 a multiple of 7? False Let u = 39 + -35. Is u even? True Suppose -2*s = 77 - 617. Is 31 a factor of s? False Let p(n) = n**2 + n + 4. Let r be p(0). Suppose -20 = -5*t - 4*y, t + y - r = -y. Suppose -t = -a + 4. Is 8 a factor of a? True Let i(l) = -l**3 - 8*l**2 + 4. Let j be i(-8). Suppose 2*w - 68 = -j*f, -3*f + w + 71 = 2*f. Is 4 a factor of f? False Let b(h) = h**3 - 6*h**2 - 6*h + 16. Let c = -4 - -11. Does 23 divide b(c)? True Let v(n) = 2*n**2 - 5*n + 6. Suppose 2*b = -0 + 2. Suppose -4*f = b - 21. Does 13 divide v(f)? False Let v(h) = 6*h**3 - h**2 - 3*h + 2. Is v(2) a multiple of 20? True Let q be 6*12*(-1)/(-1). Let m = q + -39. Is 11 a factor of m? True Let b be 8/(-6)*6/(-4). Suppose -b*s + 5*m = -51, -2 - 4 = -2*s - 4*m. Does 13 divide s? True Suppose o - 5 = 0, -2*o = -2*q + 3*q - 170. Does 16 divide q? True Suppose 2*x + 8 = u + 3*u, 3*x = -4*u - 12. Suppose 2*c = -2*c + 352. Suppose u = -3*g - g + c. Is 11 a factor of g? True Is (11/(-3) + 1)/(4/(-24)) a multiple of 8? True Suppose -15*l + 1659 = -1851. Is l a multiple of 39? True Suppose -p + 32 = c - 0*p, p + 73 = 2*c. Is c a multiple of 7? True Let x(t) = -t**3 - t**2 + 1. Let h(p) = 6*p**3 + 3*p**2 - 2*p - 6. Let w(r) = -h(r) - 5*x(r). Let u be w(5). Let l = 90 + u. Does 13 divide l? True Let d(v) be the second derivative of v**4/12 - v**3/2 + 5*v**2/2 - 2*v. Suppose 3*p - 2*p = 5. Does 14 divide d(p)? False Let w = 18 - 9. Is ((-3)/5)/(w/(-45)) a multiple of 3? True Let y = -76 - -134. Suppose z = -z + y. Suppose -5*d + 154 = z. Does 9 divide d? False Let j be 1/(-7) - 704/(-28). Let u = 37 - j. Is 8 a factor of u? False Let l be 16 + -30 + 1 + -1. Does 12 divide (0 - 1)*378/l? False Let h(c) = c + 2 - 1 - 2 - 9. Let n be h(7). Is (4/n)/((-2)/15) a multiple of 5? True Suppose -l - 2*v - 1870 = 3*l, 460 = -l + 2*v. Let u be 3/12 - l/(-8). Let m = 88 + u. Does 15 divide m? True Suppose 68*t - 73*t = -350. Is 14 a factor of t? True Let d(o) = 7*o**2 - 3*o + 2. Is 14 a factor of d(3)? True Let z(h) = 3*h**2 + h - 2. Let y be z(3). Suppose 4*l - 216 = -y. Is 21 a factor of l? False Suppose -4*y = 3*f - 146, 2*y + 192 = 7*y - f. Let l(c) = 5*c**2 - 2*c + 3. Let z be l(3). Suppose -y = -5*r + z. Does 8 divide r? True Suppose -5*t + 2*t - 45 = -2*g, -3*g = 2*t + 43. Let y = -31 + 22. Let c = y - t. Does 6 divide c? False Let q(s) = -19 - 6*s - 8*s + 18. Let a be q(4). Does 18 divide a/(-3) + 3 + 0? False Let b = -9 + 15. Suppose -4*l + b = -18. Does 18 divide 3/(-9) - (-278)/l? False Let q(m) = -2*m**2 + m**2 + 4*m - 2*m + 2*m**2 + 7. Does 31 divide q(7)? False Let z(d) = d**3 + 7*d**2 + 4*d - 2. Let o be z(-6). Let n = o + -6. Suppose 93 = 3*l + n*i, 0*i + 2*i = 6. Is 9 a factor of l? True Let f(q) = 4*q - 3. Let m be f(2). Suppose -2*d + 31 = -m. Does 4 divide d? False Is 15 a factor of (-4)/6 - (-681)/9? True Suppose 4*j + 2*z = 218, 4*j = 2*z + z + 213. Is 3 a factor of j? True Let y(z) = -z**3 + 16*z**2 - z + 21. Is y(16) a multiple of 4? False Let u(o) = o**2 + 15*o + 16. Does 6 divide u(-16)? False Let r = 101 - 37. Suppose n + j - r = 19, j + 439 = 5*n. Does 29 divide n? True Let m = -198 + 268. Does 35 divide m? True Let p(w) = 3*w**2 - 4*w - 7. Suppose -2*r + 20 = 2*r. Does 16 divide p(r)? True Is (2/6)/(13/624) a multiple of 16? True Suppose -3*q + 52 + 467 = -3*t, 4*t = 5*q - 870. Is 14 a factor of q? False Suppose -9*j + 4*j + 115 = 0. Is j a multiple of 14? False Does 13 divide -20*(-2 + (-1)/(-4))? False Let j be ((-4)/16)/(3/(-12)). Is 365/20 + j/(-4) a multiple of 12? False Suppose -5*j - 2*c = 54, -2*j + c - 14 = -2*c. Let a be 1*-2 - (j - -3). Suppose 3*d = -a*l + 116, -2*l + 28 = d - 3*l. Does 16 divide d? True Suppose -22 = -3*r + 5*r. Let g(f) = -11*f - 2. Let s be g(2). Let z = r - s. Is 13 a factor of z? True Suppose 0 = -3*o - 3. Is 6 a factor of ((-3)/(-4))/(o/(-8))? True Let g(s) = -s + 21. Let x(l) = -4*l + 4. Let y be x(-4). Suppose o - y = -5*p, -12 = -2*o + 5*o - 3*p. Does 11 divide g(o)? False Let d(v) = -v**2 - v - 695. Let n be d(0). Is n/(-25) - 2/(-10
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 159131 is divided by 75. 56 Calculate the remainder when 758483 is divided by 30316. 583 Calculate the remainder when 521259 is divided by 778. 777 Calculate the remainder when 163197 is divided by 2146. 101 What is the remainder when 3526314 is divided by 503759? 1 What is the remainder when 10862 is divided by 9315? 1547 What is the remainder when 14480 is divided by 552? 128 What is the remainder when 1301206 is divided by 162529? 974 Calculate the remainder when 665732 is divided by 2020. 1152 Calculate the remainder when 26656 is divided by 6663. 4 What is the remainder when 880085 is divided by 51? 29 Calculate the remainder when 12946321 is divided by 562883. 12 What is the remainder when 30987 is divided by 22056? 8931 What is the remainder when 726169 is divided by 2401? 1067 What is the remainder when 34131768 is divided by 959? 958 Calculate the remainder when 241278335 is divided by 416. 415 Calculate the remainder when 61567599 is divided by 80. 79 Calculate the remainder when 3223309 is divided by 91. 89 Calculate the remainder when 41567 is divided by 41477. 90 Calculate the remainder when 17236554 is divided by 1325888. 10 Calculate the remainder when 161943887 is divided by 277. 269 Calculate the remainder when 31955 is divided by 15645. 665 Calculate the remainder when 8373017 is divided by 15828. 5 Calculate the remainder when 65755 is divided by 8218. 11 What is the remainder when 155863283 is divided by 614? 611 Calculate the remainder when 6371656 is divided by 2874. 2872 What is the remainder when 350578285 is divided by 4603? 4599 Calculate the remainder when 147465 is divided by 4095. 45 Calculate the remainder when 1973001 is divided by 20552. 9 What is the remainder when 47594221 is divided by 46661? 1 Calculate the remainder when 181653 is divided by 2595. 3 What is the remainder when 96512 is divided by 3246? 2378 Calculate the remainder when 9399 is divided by 9381. 18 Calculate the remainder when 1324980 is divided by 73610. 0 What is the remainder when 371030 is divided by 92301? 1826 What is the remainder when 45221798 is divided by 16755? 53 What is the remainder when 38093 is divided by 18988? 117 What is the remainder when 36014143 is divided by 174? 145 Calculate the remainder when 746519 is divided by 3809. 3764 What is the remainder when 33320650 is divided by 3? 1 What is the remainder when 72483 is divided by 34278? 3927 What is the remainder when 88265086 is divided by 204? 202 Calculate the remainder when 34708 is divided by 17198. 312 Calculate the remainder when 2703424 is divided by 148. 56 Calculate the remainder when 61066 is divided by 1160. 746 What is the remainder when 7899936 is divided by 315995? 61 What is the remainder when 9155114 is divided by 4577537? 40 What is the remainder when 18599002 is divided by 99? 70 What is the remainder when 2463364 is divided by 700? 64 What is the remainder when 105737921 is divided by 35245968? 17 What is the remainder when 1003318404 is divided by 38? 34 What is the remainder when 7104 is divided by 1741? 140 Calculate the remainder when 34363292 is divided by 636357. 14 Calculate the remainder when 104760 is divided by 806. 786 Calculate the remainder when 11588586 is divided by 11. 9 What is the remainder when 417694687 is divided by 302? 299 What is the remainder when 126732 is divided by 42238? 18 Calculate the remainder when 3439 is divided by 1619. 201 What is the remainder when 61893899 is divided by 180? 179 What is the remainder when 104843942 is divided by 277? 273 Calculate the remainder when 107806069 is divided by 106004. 1 Calculate the remainder when 1202639 is divided by 315. 284 What is the remainder when 1211197575 is divided by 9335? 9330 What is the remainder when 218386 is divided by 2427? 2383 What is the remainder when 324952 is divided by 2777? 43 Calculate the remainder when 237043197 is divided by 15. 12 Calculate the remainder when 164391947 is divided by 113. 112 What is the remainder when 50247510 is divided by 5396? 5354 What is the remainder when 8640188 is divided by 81? 80 Calculate the remainder when 127664 is divided by 31403. 2052 Calculate the remainder when 1960374 is divided by 249. 246 What is the remainder when 741100 is divided by 1812? 1804 Calculate the remainder when 1195900 is divided by 1224. 52 What is the remainder when 15777006 is divided by 23? 18 What is the remainder when 18344650 is divided by 1159? 1157 What is the remainder when 87198 is divided by 28878? 564 What is the remainder when 568580 is divided by 142132? 52 Calculate the remainder when 2726188 is divided by 383. 377 What is the remainder when 76120 is divided by 4016? 3832 Calculate the remainder when 1510246 is divided by 751. 736 Calculate the remainder when 80620 is divided by 80463. 157 What is the remainder when 101724 is divided by 47460? 6804 Calculate the remainder when 697408 is divided by 2768. 2640 Calculate the remainder when 11232991 is divided by 478. 469 What is the remainder when 166015 is divided by 2938? 1487 What is the remainder when 27107899 is divided by 158? 155 Calculate the remainder when 43830383 is divided by 1588. 1583 Calculate the remainder when 3697334 is divided by 751. 161 What is the remainder when 333675 is divided by 80? 75 What is the remainder when 3059583 is divided by 36? 15 What is the remainder when 1010999 is divided by 876? 95 Calculate the remainder when 4748057 is divided by 47010. 47 What is the remainder when 27953463 is divided by 308? 307 Calculate the remainder when 344561 is divided by 151. 130 Calculate the remainder when 64499853 is divided by 3251. 13 What is the remainder when 234773 is divided by 592? 341 Calculate the remainder when 1077941 is divided by 134738. 37 What is the remainder when 75628103 is divided by 37814036? 31 What is the remainder when 4220464 is divided by 2737? 10 Calculate the remainder when 29503 is divided by 2299. 1915 Calculate the remainder when 1481259 is divided by 1507. 1385 Calculate the remainder when 50782 is divided by 4416. 2206 Calculate the remainder when 188949341 is divided by 157. 155 What is the remainder when 7396724 is divided by 2465563? 35 What is the remainder when 35670 is divided by 4922? 1216 What is the remainder when 15086325 is divided by 541? 540 Calculate the remainder when 658347 is divided by 8030. 7917 What is the remainder when 237328098 is divided by 118664049? 0 Calculate the remainder when 9024670 is divided by 9024590. 80 What is the remainder when 5633546 is divided by 2925? 2921 What is the remainder when 5150767 is divided by 1661? 6 Calculate the remainder when 510900 is divided by 89. 40 Calculate the remainder when 437743789 is divided by 19. 15 What is the remainder when 268129 is divided by 1625? 4 Calculate the remainder when 825872 is divided by 2532. 440 What is the remainder when 956804 is divided by 956776? 28 Calculate the remainder when 21883322 is divided by 2835. 2792 Calculate the remainder when 359108190 is divided by 16. 14 Calculate the remainder when 63583 is divided by 10060. 3223 What is the remainder when 95343587 is divided by 163? 160 Calculate the remainder when 26473 is divided by 13056. 361 What is the remainder when 809741 is divided by 161917? 156 Calculate the remainder when 24799302 is divided by 4959855. 27 What is the remainder when 13799819 is divided by 78? 59 What is the remainder when 74503339 is divided by 62819? 5 What is the remainder when 988019 is divided by 987913? 106 Calculate the remainder when 623912 is divided by 47. 34 What is the remainder when 3544582 is divided by 398? 392 What is the remainder when 166816 is divided by 8302? 776 What is the remainder when 1305498 is divided by 268? 70 Calculate the remainder when 58477988 is divided by 505. 503 What is the remainder when 1111327 is divided by 1110893? 434 Calculate the remainder when 154616 is divided by 25679. 542 What is the remainder when 960760 is divided by 120062? 264 What is the remainder when 1364805 is divided by 1364734? 71 Calculate the remainder when 87037 is divided by 4147. 4097 Calculate the remainder when 2902404 is divided by 542. 536 Calculate the remainder when 10
{ "pile_set_name": "DM Mathematics" }
ppose -8 = 4*t, 4*t - 6*t + 56 = 4*q. Let r = q + -10. Suppose 8*a = r*a + 12. What is the units digit of a? 4 Let v = -7 + 12. Suppose 8 = v*a - 4*a. What is the units digit of a? 8 Let b = -33 - -51. Let m = b + -6. Suppose -2*x + m = -14. What is the tens digit of x? 1 Suppose -31*c + 698 = -29*c. What is the hundreds digit of c? 3 Suppose -7*n + 2*n = 80. Let p = 29 + n. What is the tens digit of p? 1 Let t be 0 - (-1 + -1 + 0). Let k = -3 + t. Let r = k - -5. What is the units digit of r? 4 Let o be (-1)/(-5) + (-4)/20. Let y = o + 15. What is the tens digit of y? 1 Let g = 19 + -31. Let z be 32/g*(-3)/2. Suppose 15 = z*c + t, 0 = 2*c - t + 4*t + 5. What is the units digit of c? 5 Suppose 0*q - 318 = -3*q. What is the hundreds digit of q? 1 Let l(u) = -u + 12. Let r be l(10). Suppose r*g + 4*k - 15 = 3*k, g + 3*k + 5 = 0. What is the units digit of g? 0 Let r(h) = h - 4. Let y be r(8). Suppose y*f + f = 125. Suppose 3*k + 2*k = f. What is the units digit of k? 5 What is the units digit of ((-9)/(-3) + -49)/(-1 + 0)? 6 Let f be 2*(-2)/4*-2. Let q(x) = -3 - x**f + 3 - 12*x**3. What is the tens digit of q(-1)? 1 Let i = -6 - -8. Let v(n) = -n**3 + 3*n**2 - 2*n + 3. Let m be v(i). What is the units digit of 52/6 + m/9? 9 Let w(q) be the first derivative of -q**2/2 - q + 2. Let h be w(-6). Suppose -2*g - 18 = -h*g. What is the units digit of g? 6 Suppose 13 + 7 = 4*g. Let o = 17 - -3. Suppose -g*k = -5 - o. What is the units digit of k? 5 Let b(k) = -1 + 3*k - k**2 + 0 + 0*k**2. Let t(d) = 2*d - 17. Let i be t(9). What is the units digit of b(i)? 1 Suppose t - 6 = 2*a, 0*t + 2*t - 5*a - 14 = 0. Suppose 15 = 4*w - 3*v - 12, 4*v = -t*w + 30. Suppose -w - 6 = 5*r, 12 = 5*p + r. What is the units digit of p? 3 Let b(j) = -j + 5. Let r be b(-5). What is the units digit of 2/5 - (-36)/r? 4 Let o(g) = -g**3 + 6*g**2 - 5*g + 4. Let w be o(5). Suppose w*p - 21 - 31 = 0. What is the tens digit of p? 1 Let h be (5*-2)/(-2 + 0). Suppose 5*b = -5*x + h, x - b + 4*b + 1 = 0. Suppose -g - 7 = 5*a, x*g - a + 29 = 6*g. What is the units digit of g? 8 What is the units digit of (52/12 - 1)*15? 0 Suppose -5*z = 2*x + 130, 5*x + 57 + 40 = -3*z. What is the tens digit of (344/z)/((-2)/6)? 4 Let y = -13 + 22. Let k = y - 1. What is the units digit of k? 8 Let o(z) = 13*z - 18. Let i(g) = 9*g - 12. Let t(d) = 7*i(d) - 5*o(d). What is the tens digit of t(-7)? 2 What is the units digit of (-598)/(-4) - (9/(-6))/(-3)? 9 Suppose d - 3*w + 17 = 0, -5*d = -d - 4*w + 28. What is the units digit of 1 - ((-12)/(-3))/d? 3 Suppose -2*q - 2*y + 25 = -y, -5*q + 60 = 2*y. What is the units digit of q? 0 Let s = -7 - -3. What is the units digit of 2200/104 + s/26? 1 Suppose 4*z - 170 = -z. Let i = z + -18. What is the tens digit of i? 1 Let y = -48 + 274. What is the hundreds digit of y? 2 What is the units digit of (10/4)/(1/2)? 5 Let q(y) = 4*y**2 - 6*y + 6. What is the tens digit of q(4)? 4 Suppose 3*m = -5*v, -6*v + 3*v + 4*m = 0. Suppose 5*u - 3*p + 36 = 151, 4*u - 2*p - 90 = v. What is the tens digit of u? 2 Suppose 2*l = -l. Suppose 4*h + 4*y - 16 = l, -4*h - 3*y - 3 = -22. Let j(c) = -c**3 + 8*c**2 - 6*c - 2. What is the units digit of j(h)? 5 Let y be 1/(-3 - 15/(-6)). Let k(g) = -g**3 + 3*g**2 + 3*g. What is the tens digit of k(y)? 1 Suppose 0 = -2*t + 4*j + 4, -3*j = 2*j - 5. Suppose y + 81 = t*y. What is the tens digit of y? 2 Let j(p) = -p**3 + 4*p**2 + 2*p + 2. Let i be j(4). Suppose 3*u - i - 11 = 0. What is the units digit of u? 7 Let u(m) = -7*m + 3. Let s(i) = i**2 + 8*i - 12. Let o be s(-9). What is the tens digit of u(o)? 2 Let p(k) = k**2 + 9*k - 23. What is the tens digit of p(7)? 8 Suppose 4*o + 4 = 4*m - 7*m, 4*m = -2*o - 2. Suppose 0 = 5*i + 4*h - 33, -4*i + 22 = h - m*h. Suppose -i = -2*f + 5. What is the units digit of f? 5 Let h = -12 - -17. Suppose h*c + 5*q = -0*q, 4*q = -12. Suppose 2*f - c = -d, 7*f - 5*d - 11 = 4*f. What is the units digit of f? 2 Let x(y) = y**3 + 7*y**2 + 7*y + 6. Let c = -14 + 8. Let p be x(c). Suppose p = 2*k + 4*z - 40, -2*k + 0*z + 36 = 3*z. What is the units digit of k? 2 Let q(s) = -s - 6. Let o be q(-5). Let d = 1 + o. Let w = d + 1. What is the units digit of w? 1 What is the units digit of 42458/161 + (-4)/(-14)? 4 Let g(u) = -u**2 - 7*u. Suppose 5*s - 2 = -4*h - 1, 0 = 3*h + 5*s - 7. What is the units digit of g(h)? 6 Let v(z) = -z**3 - 6*z**2 - 4*z + 2. Let y be v(-5). Let a = 16 + y. Suppose -4*g + a - 5 = 0. What is the units digit of g? 2 Let b(p) = p**2 - 5*p - 10. Let k be b(7). Suppose k = -m + 14. What is the units digit of m? 0 Let n(u) = -u + 7. Let s be n(5). Let c(o) = 3 + 2 - 2 + s*o. What is the units digit of c(3)? 9 Let j(c) = -3*c**2 + 7*c + 7. Let b(z) = 3*z**2 + 8*z - z**2 + 8 - 5*z**2. Let t(s) = 6*b(s) - 7*j(s). What is the units digit of t(-1)? 3 Suppose -j + 110 = 4*j. What is the units digit of (1 - j/6)*-3? 8 Let n = 150 + -99. What is the tens digit of n? 5 Let x(c) = -11*c. What is the tens digit of x(-3)? 3 Suppose 2*u - 179 = 351. What is the units digit of u? 5 Suppose -5*d - 144 = -8*d. What is the tens digit of d? 4 Let g(w) = -w**3 - 6*w**2 + 4. Suppose -c = 4*c + 30. Let p be g(c). Suppose 5*j = 3*z + 7, -2*j + 4*j = p*z. What is the units digit of z? 1 Suppose 0 = 6*q - 903 - 21. What is the hundreds digit of q? 1 Let k(h) = -h - 3. Let z = 2 - 2. Suppose z*p = -3*p - 18. What is the units digit of k(p)? 3 Suppose -t = -4*t - 3*p - 546, 3*t = 3*p - 534. Let s = -41 + 42. What is the units digit of t/(-27) - s/(-3)? 7 Suppose -2*b - b + 126 = 0. What is the units digit of b? 2 Suppose 15 = 3*j - 8*j. Let l be (j/9)/((-1)/6). Suppose -s = -0*s + l*n + 8, -2*s - 3*n - 11 = 0. What is the units digit of s? 2 Let c(s) = -2*s**3 - 9*s**2 + 8*s - 14. What is the units digit of c(-7)? 5 Let r = -20 + 44. Let q = -11 + r. What is the units digit of q? 3 Let l = -53 - -17. Let w = l + 55. What is the units digit of w? 9 Suppose -32 = -5*z + 18. What is the units digit of z? 0 What is the units digit of ((18/3)/(-3))/(8/(-164))? 1 What is the units digit of (78/(-8))/(6/(-32))? 2 Let k(o) = o**3 + o + 3. Suppose -4*f - 8 = 5*s, f + 4 = 4*s - f. What is the units digit of k(s)? 3 Suppose 5*i = i - 28. What is the units digit of 5 - 6/3 - i? 0 Let l(h) = 5*h**3 - 8*h**2 - 2*h - 6. Let w(k) = 4*k**3 - 7*k**2 - k - 5. Let u(c) = 3*l(c) - 4*w(c). What is the units digit of u(3)? 5 Let u(b) = 2*b - 16. Let v(l) = -l + 4. Let x(o) = -3*o + 16. Let m(y) = -9*v(y) + 2*x(y). Let g be m(5). What is the units digit of u(g)? 6 Let g(y) = -y**2 + 65. What is the units digit of g(0)? 5 Let z(k) = 2*k**2 - 11*k - 22. What is the units digit of z(9)? 1 What is the units digit of (-17)/(-2) - (-3)/6? 9 Let z(c) = c**3 - 10*c**2 - 12*c + 1. Let a(y) = -y**2 - y. Let u(h) = 4*a(h) - z(h). What is the units digit of u(7)? 6 Let g be ((-2)/1)/(-4)*-158. Let w = -38 - g. Let m = -26 + w. What is the units digit of m? 5 Suppose 5*o - 24 = o. Suppose 66 = 3*l + o. Suppose 4*f - 2*f = l. What is the units digit of f? 0 Let y = 3 + -3. Suppose -4*w - w + 15 = y. Suppose -q - w*q = -8. What is the units digit of q? 2 Let z(n) = -5*n. Let u be z(-1). Suppose -u*g + 22 = -13. Suppose -1 + g = b. What is the units digit of b? 6 Suppose 0 = -0*i + 6*i - 306. What is the units digit of i? 1 Suppose 5*s + 3*q = -2, 0*q + 2*q + 8 = 0. Let v be ((-19)/(-2) - -2)*s. What is the tens digit of (-2 - (3 - v))/1? 1 Let q = -21 + 34. Suppose -3*x - 2*k + 11 = 0, k - 5 - 8 = -3*x. Let f = q - x. What is the units digit of f? 8 Let v = 55 + -10. What is the tens digit of v? 4 Let d = -55 + 111. What is the tens digit of d? 5 Let y(s) = 4*s + 1. Let x be y(2). Suppose 4*w - x - 55 = -4*z, -z + 2*w + 25 = 0. What is the units digit of z? 9 Let n(d) = 0*d - 7*d + d**2 + d + 2. Let j be n(5). Let i(g) = 2*g**2 + 5*g + 4. What is the units digit of i(j)? 7 Suppose 4*j + 4*n = -64, -2*j + 3*n = -4*j - 36. Let o(l) = -2*l + 12. What is the tens digit of o(j)? 3 Let z(x) = -3*x**2 + x**2 + 7*x**2 + 12*x**2. What is the units digit of z(-1)? 7 Suppose 0 = -f - 5*m + 23 + 7, 2*f - 3*m = -5. Suppose -28 = -f*a - 4*h, 4*a = -h + 3*h + 12. What is the units digit of a? 4 Let x = 11 - 8. What is the units digit of x? 3 Let i = 18 + 105. What is the
{ "pile_set_name": "DM Mathematics" }
3 + o + b*h + z*h**4 and give z. -3 Express (26*a**2 - a**2 - 3*a**2)*(1 - 5 + 0) in the form q*a**2 + n*a + g and give q. -88 Express -3*a**3 + 4*a**3 - 4 + 2 - 3*a**2 + a**2 in the form w + f*a + m*a**3 + u*a**2 and give u. -2 Express (-2*r**3 + 7*r**4 + 2*r**3)*(-9 + 6 - 6) as y*r**2 + z + b*r**3 + j*r**4 + n*r and give j. -63 Rearrange -2*h**4 + 358*h - 356*h + 3*h**4 - 1 + 8*h**3 + (-3 + h**3 + 3)*(2*h + 2*h - 6*h) to w*h**2 + d*h + k*h**3 + j + s*h**4 and give w. 0 Express (-2*g**2 - g + 2*g - g**2)*(-3*g - 2*g + 2*g) in the form f*g**2 + a*g**3 + i*g + q and give f. -3 Express -179 + 179 - 12*i as v + n*i and give n. -12 Express 4*v**2 + 0*v**3 - 2 + 0 + 1 + v**3 in the form m*v**3 + r*v + z*v**2 + s and give m. 1 Express -2*z - 2*z + z - z - z + 5*z + (1 + 1 - 1)*(-3*z + z + 3*z) - 3 + 2 + 2*z - 1 as r*z + s and give s. -2 Express 9*t + 3*t + 10*t + 6*t as p*t + d and give p. 28 Rearrange -q**2 - 3*q**2 + 3*q**2 + (-5*q + 4*q + 0*q)*(q - 2*q + 2*q) - 2*q**2 + 9217*q - 9217*q + 14 to the form l*q + a + n*q**2 and give n. -4 Rearrange (0*r + 3*r - r)*(0 - 2 + 3)*(-7 + 4 + 7)*(-4*r + 8*r + 4*r) to the form z*r**2 + g + n*r and give z. 64 Rearrange h + 0*h + 3*h**2 + 0 - 2*h**4 + 0 + 2*h**3 to the form o*h**2 + a + m*h + c*h**4 + k*h**3 and give o. 3 Express (-689 + 1375 - 690)*(0*j**3 + j**4 + 0*j**3 + 0*j**3) as i*j**2 + r*j**4 + l + k*j**3 + t*j and give r. -4 Rearrange 3*b**3 - 2*b**4 - 3*b**3 + (-3 + b**2 + 3)*(0 + 0 + b**2) + 9*b**4 + 2*b**4 - 3*b**4 to a*b**4 + x*b**3 + q*b + p + y*b**2 and give a. 7 Rearrange 172*f - 172*f - f**2 - 2*f**3 + 1 to the form u*f**3 + k*f + x*f**2 + a and give x. -1 Rearrange 4*r - 2*r**4 + r**4 + 3*r**3 + 1 - r**2 - r**3 to the form v*r**4 + x + h*r**3 + s*r + u*r**2 and give h. 2 Express 243 + 68*t - 243 as i*t + k and give k. 0 Rearrange (-4 + 4 - 2)*(r + 0*r - 2*r)*(-9*r**2 + 10*r**2 + 20*r**2)*(-4 + 2 + 3) to w*r + p*r**2 + a*r**3 + t and give a. 42 Express -p**3 + 117*p**2 + 2*p - 117*p**2 in the form i*p + v*p**3 + o + x*p**2 and give i. 2 Express (37 + 13*w**2 - 37)*(-1 + 10 + 1) in the form o*w**2 + q + z*w and give o. 130 Express -15*h**3 - 3*h + 3*h + 13*h**3 - 2 - h**2 in the form b*h**3 + s + c*h**2 + a*h and give c. -1 Rearrange (-4*x + 2*x + 3*x)*(0 + 1 - 3) + 1 - 1 + x + (-3*x - 2 + 2)*(-3 + 1 + 6) to b*x + a and give b. -13 Express (d + d - 3*d)*(3 - 3 - d) - 2*d**2 + 1 - 1 - 39*d + 39*d + 11*d**2 in the form o*d**2 + f + w*d and give o. 10 Rearrange -t - 90*t**3 + 173*t**3 - 2*t**4 - 86*t**3 - t to the form l + n*t**4 + k*t**3 + w*t + c*t**2 and give l. 0 Rearrange (-5 - 9 + 3)*(-h**3 - 4*h**3 + 4*h**3 + (-3 + 3 + 3*h)*(6*h**2 - 3*h**2 + h**2)) to the form b*h**2 + d*h + p + z*h**3 and give z. -121 Rearrange 30*y - 19*y + 2*y**3 - 2 - 11*y + 2*y**2 to i*y**2 + l*y**3 + s*y + m and give m. -2 Rearrange (0*i + 0*i - i)*(4 - 2 - 1 + (-35 - 14 + 12)*(-1 - 1 - 1)*(4 - 4 - 1)) to q*i + f and give q. 110 Express -2*a - 2*a**3 + a**4 - 3*a**4 + a**2 - a + 0*a as k*a**3 + b*a**2 + n*a + v*a**4 + i and give k. -2 Rearrange -6*a + 3*a + a + (-a + 0 + 0)*(-1 - 2 + 2) + 16 - 19*a - 16 to the form d*a + j and give d. -20 Express (3864 + 40*f**2 - 3864)*(3*f - 2*f - 2*f) as i*f**2 + h*f + b*f**3 + g and give h. 0 Express 1 - 3*r**2 - r + 6*r - 2*r + r**3 as c*r**2 + b*r + k + d*r**3 and give d. 1 Rearrange 0*x - 3*x + 4*x + (-2*x - 1 + 1)*(1 - 4 + 2) to l + p*x and give p. 3 Express -2*f**2 + 0 + 0 + (-7 + 0 - 2)*(3*f**2 - 2*f**2 - 2*f**2) in the form i*f**2 + d*f + y and give i. 7 Rearrange -6 + 5 + d + 2 to the form i + w*d and give w. 1 Express 103 - 103 + 17*s in the form k*s + g and give k. 17 Rearrange (y - y - 24*y**2 - 8*y**2)*(2 + 2 - 1) to the form k + b*y**2 + d*y and give b. -96 Rearrange 25*y**2 - 24*y**2 - 3 + 14*y**3 + 0 to the form n + b*y**2 + j*y + i*y**3 and give j. 0 Express 8*p**2 - 15*p**2 + 10*p**2 + 30*p**2 + 1 as u*p**2 + l*p + b and give b. 1 Express (0*s + 5*s - 4*s)*(-98 + 83 + 81) in the form o + p*s and give p. 66 Rearrange (-3*c**2 + 6*c**2 - 2*c**2)*(-3 - c + 3) - 3*c**3 - 18*c**3 - 12*c**3 to y + p*c + x*c**2 + n*c**3 and give n. -34 Rearrange (2*u + 315 - 3*u - 279)*(u**2 + 2*u**2 - 2*u**2) to the form v*u**2 + q*u + m*u**3 + a and give a. 0 Express -10*b - 3*b - 12*b + 5*b in the form w*b + x and give w. -20 Rearrange (2 + 2 - 3)*(j**2 - 5*j**2 - 6*j**2) - 2*j**2 + 0*j + 0*j + (0*j**2 - 4*j**2 + 3*j**2)*(-1 + 2 + 1) to the form g*j**2 + c + z*j and give g. -14 Express 13*c**3 + 6 - 5 + 2*c**2 - 4*c**2 as h*c + v*c**2 + o + r*c**3 and give o. 1 Express 2346*x + x**3 + 0*x**3 - 2314*x in the form c*x**3 + r + s*x**2 + y*x and give y. 32 Express 2*a - 9*a - 2*a + (0*a + a - 2*a)*(-1 - 2 + 0) - 1 + 0 - 2*a - 1 as h + u*a and give u. -8 Rearrange (-2*s + 5*s - 4*s)*(2 - 5773*s + 5773*s - 12*s**2) to the form h*s + g*s**3 + k + z*s**2 and give k. 0 Express t**3 + 4*t**4 - 7*t**4 - 5*t**3 + 2 - t**2 in the form m*t + j + y*t**4 + g*t**2 + p*t**3 and give g. -1 Express (2 - 3 + w + 3*w)*(2*w - 3*w - 6*w) in the form j + d*w + f*w**2 and give f. -28 Rearrange 3*u**2 - 1 + 0 - 4*u**2 + 7*u**2 to x*u**2 + v*u + n and give x. 6 Rearrange 2 + 3*f + 3*f**3 + 2*f**2 + 5 - 4 to o*f**3 + a*f + w + x*f**2 and give o. 3 Express -4*h**4 - 246*h**3 + 3*h**2 - 2*h**2 + 249*h**3 + 1 as d*h + j*h**4 + y*h**2 + a + q*h**3 and give j. -4 Rearrange -x**4 - x**3 + 14*x**2 - 27*x**2 + 13*x**2 - 2 to the form f*x + q*x**2 + t*x**3 + k*x**4 + z and give z. -2 Express (3*n**2 - 3*n**2 - n**2)*(-5*n + 5*n + 2*n**2) - n**4 - 3*n + 3*n in the form b*n**4 + j*n**2 + t*n**3 + f + g*n and give b. -3 Rearrange -20*w**2 - 18*w**2 + 54*w**2 - w - 17*w**2 - 4 to y*w + n*w**2 + t and give y. -1 Express -28*l**2 - 33 + 13*l**2 + 15*l**2 + 2*l**3 in the form m*l**3 + a*l + c + h*l**2 and give m. 2 Express (c + 0 + 0)*((4*c - 2*c - 3*c)*(2*c - c + 2*c) + c**2 + 0*c**2 - 2*c**2) in the form m*c**3 + b*c**2 + w + f*c and give f. 0 Express -2 - 3*a - 19*a + 2 as m + t*a and give t. -22 Express -i**2 + 0*i**2 - 34*i - 8*i as a*i + l + v*i**2 and give a. -42 Rearrange -13*v**2 - 20*v**2 - 15*v**2 + 49*v**2 + v + 5 - 3*v**3 to the form g + f*v**2 + a*v**3 + u*v and give a. -3 Rearrange 4*j**3 + 0*j**3 + 2*j - 2*j**3 - 3*j**4 - j**2 - 4*j to m*j + o*j**3 + g + k*j**4 + s*j**2 and give s. -1 Express ((7 - 3 - 2)*(-2*w**2 + w - w) - w**2 - 1 + 1)*(49*w + 17*w - 11*w) as o + k*w**3 + u*w**2 + t*w and give k. -275 Rearrange 113*v - 96*v + 87*v to s + m*v and give s. 0 Express (1 - w - 1)*(4*w + 0*w - 3*w) - 29*w**2 - 56*w + 56*w in the form t + m*w + p*w**2 and give p. -30 Rearrange -2*d**3 + 2*d**3 + 2*d**3 + (-59*d - 1 - 1 + 55*d)*(2 + 2*d**2 - 2) to q*d**3 + a + z*d**2 + t*d and give z. -4 Rearrange ((0 - 1 + 0)*(-4*l + 2*l + 0*l) + 1 - 1 + 2*l)*(l - l + l)*(15 - 15 + 7*l**2)*(4 - 2 - 5) to j*l**2 + f*l**3 + o + g*l**4 + z*l and give j. 0 Express ((-4*c + 2*c + 0*c)*(4 - 3 + 1) - c + 0 + 0)*(3 + 4 - 9) + (c + c - c)*(-2 - 3 + 6) as j + v*c and give v. 11 Rearrange -2*y**3 - 5*y**3 + 3*y**3 + 3*y**3 + 3*y**2 + y to l*y**2 + h*y + t*y**3 + i and give h. 1 Rearrange -2*n**2 - 2 - 7*n**3 + n - 12*n**3 - 2*n + 18*n**3 + n**4 to the form d + z*n**3 + s*n + l*n**4 + t*n**2 and give s. -1 Express (0 - 2 - 3*u + 0*u)*(-3 - 3 + 4 + (-3 + 4 - 2)*(-5 + 1 - 1)) as g*u + z and give z. -6 Rearrange -5*q**2 + 6*q**2 + 7*q**2 - q**2 to d + u*q + v*q**2 and give v. 7 Rearrange -4*j + j - 71 + 10 + 2*j to the form s + l*j and give s. -61 Rearrange ((-1 + 4 - 5)*(4 - 6 + 3) + 1 + 3 - 1)*(-4*d**4 - 8*d**2 + 8*d**2) to the form q*d + y*d**3 + m + c*d**4 + o*d**2 and give c. -4 Express (-z**2 + 1 + 0*z**2 + 1)*(2*z**2 + z**2 - z**2 + z**2 + z - z + (-3 + 0 + 2)*(-2*z**2 + z**2 - z**2)) as h*z**3 + f*z**2 + p*z**4 + n*z + b and give f. 10 Express (0*j**2 - j**2 - j**2)*(-2*j + 4*j + 5 + 4*j) in the form g + v*j + h*j**3 + i*j**2 and give i. -10 Rearrange (-7 + 6 + 12)*(-2*u + 0 + 0)*(0 - 1 + 4) to the form x + q*u and give q. -66 Rearrange -3*x + 4*x + 13*x to c*x + a and give c. 14 Rearrange (1 + 5 + 3*c - 5)*(2 - 23 - 12) to the form h + f*c and give f. -99 Express 12*l - 9*l + 7*l + (l + 2 - 2)*(1 - 1 - 1) as p*l + v and give p. 9 Express (-5 + 4 + 2)*(-36*y - 3*y + 67*y)*(-1 - 1 + 1) in the form x + s*y and give s. -28 Express 5*o -
{ "pile_set_name": "DM Mathematics" }
the remainder when 417 is divided by 53. 46 Calculate the remainder when 3247 is divided by 116. 115 What is the remainder when 452 is divided by 14? 4 What is the remainder when 6231 is divided by 41? 40 What is the remainder when 6687 is divided by 4? 3 Calculate the remainder when 226 is divided by 36. 10 Calculate the remainder when 164 is divided by 42. 38 Calculate the remainder when 1976 is divided by 3. 2 What is the remainder when 571 is divided by 52? 51 What is the remainder when 4069 is divided by 290? 9 Calculate the remainder when 111 is divided by 72. 39 What is the remainder when 3008 is divided by 177? 176 What is the remainder when 1423 is divided by 22? 15 Calculate the remainder when 173 is divided by 24. 5 Calculate the remainder when 1578 is divided by 72. 66 What is the remainder when 806 is divided by 263? 17 What is the remainder when 86 is divided by 14? 2 What is the remainder when 140 is divided by 37? 29 What is the remainder when 52 is divided by 33? 19 What is the remainder when 95 is divided by 43? 9 Calculate the remainder when 278 is divided by 10. 8 Calculate the remainder when 424 is divided by 37. 17 Calculate the remainder when 55 is divided by 31. 24 What is the remainder when 166 is divided by 24? 22 Calculate the remainder when 410 is divided by 83. 78 Calculate the remainder when 953 is divided by 87. 83 Calculate the remainder when 3778 is divided by 36. 34 What is the remainder when 3549 is divided by 17? 13 What is the remainder when 1105 is divided by 41? 39 What is the remainder when 155 is divided by 40? 35 Calculate the remainder when 42 is divided by 23. 19 Calculate the remainder when 1727 is divided by 9. 8 What is the remainder when 1802 is divided by 302? 292 Calculate the remainder when 153 is divided by 43. 24 Calculate the remainder when 55 is divided by 30. 25 What is the remainder when 11150 is divided by 36? 26 What is the remainder when 2294 is divided by 41? 39 Calculate the remainder when 9382 is divided by 34. 32 Calculate the remainder when 789 is divided by 247. 48 Calculate the remainder when 2783 is divided by 8. 7 What is the remainder when 454 is divided by 46? 40 Calculate the remainder when 1034 is divided by 17. 14 What is the remainder when 18 is divided by 8? 2 Calculate the remainder when 135 is divided by 40. 15 What is the remainder when 888 is divided by 89? 87 What is the remainder when 254 is divided by 80? 14 Calculate the remainder when 183 is divided by 47. 42 Calculate the remainder when 480 is divided by 354. 126 Calculate the remainder when 1119 is divided by 35. 34 What is the remainder when 845 is divided by 77? 75 What is the remainder when 530 is divided by 128? 18 What is the remainder when 448 is divided by 42? 28 What is the remainder when 271 is divided by 133? 5 Calculate the remainder when 1175 is divided by 392. 391 Calculate the remainder when 654 is divided by 12. 6 Calculate the remainder when 286 is divided by 92. 10 Calculate the remainder when 1136 is divided by 161. 9 What is the remainder when 2657 is divided by 884? 5 What is the remainder when 483 is divided by 69? 0 Calculate the remainder when 4263 is divided by 2120. 23 Calculate the remainder when 1335 is divided by 103. 99 What is the remainder when 1017 is divided by 15? 12 Calculate the remainder when 207 is divided by 14. 11 Calculate the remainder when 1092 is divided by 122. 116 What is the remainder when 356 is divided by 21? 20 What is the remainder when 4073 is divided by 23? 2 What is the remainder when 8987 is divided by 58? 55 Calculate the remainder when 703 is divided by 5. 3 What is the remainder when 315 is divided by 56? 35 What is the remainder when 233 is divided by 112? 9 Calculate the remainder when 697 is divided by 32. 25 What is the remainder when 145 is divided by 52? 41 Calculate the remainder when 399 is divided by 391. 8 Calculate the remainder when 518 is divided by 169. 11 Calculate the remainder when 1316 is divided by 55. 51 What is the remainder when 1370 is divided by 14? 12 What is the remainder when 80 is divided by 21? 17 What is the remainder when 358 is divided by 45? 43 What is the remainder when 160 is divided by 23? 22 What is the remainder when 787 is divided by 372? 43 What is the remainder when 602 is divided by 10? 2 Calculate the remainder when 526 is divided by 19. 13 What is the remainder when 429 is divided by 88? 77 What is the remainder when 68 is divided by 6? 2 What is the remainder when 7899 is divided by 100? 99 Calculate the remainder when 369 is divided by 37. 36 What is the remainder when 245 is divided by 41? 40 What is the remainder when 128 is divided by 17? 9 Calculate the remainder when 2036 is divided by 51. 47 Calculate the remainder when 4065 is divided by 113. 110 Calculate the remainder when 249 is divided by 124. 1 Calculate the remainder when 923 is divided by 10. 3 What is the remainder when 64 is divided by 40? 24 Calculate the remainder when 145 is divided by 68. 9 What is the remainder when 377 is divided by 9? 8 What is the remainder when 699 is divided by 214? 57 Calculate the remainder when 5819 is divided by 82. 79 Calculate the remainder when 252 is divided by 213. 39 What is the remainder when 4955 is divided by 12? 11 What is the remainder when 115 is divided by 60? 55 What is the remainder when 348 is divided by 35? 33 What is the remainder when 1915 is divided by 107? 96 What is the remainder when 98 is divided by 15? 8 Calculate the remainder when 323 is divided by 18. 17 What is the remainder when 58 is divided by 47? 11 What is the remainder when 3987 is divided by 40? 27 Calculate the remainder when 263 is divided by 11. 10 Calculate the remainder when 318 is divided by 20. 18 Calculate the remainder when 260 is divided by 54. 44 Calculate the remainder when 336 is divided by 40. 16 What is the remainder when 222 is divided by 129? 93 Calculate the remainder when 159 is divided by 15. 9 Calculate the remainder when 7441 is divided by 28. 21 What is the remainder when 664 is divided by 35? 34 Calculate the remainder when 691 is divided by 2. 1 Calculate the remainder when 60 is divided by 8. 4 What is the remainder when 92 is divided by 25? 17 Calculate the remainder when 5478 is divided by 20. 18 Calculate the remainder when 608 is divided by 8. 0 What is the remainder when 776 is divided by 37? 36 Calculate the remainder when 4851 is divided by 118. 13 What is the remainder when 341 is divided by 49? 47 What is the remainder when 256 is divided by 81? 13 What is the remainder when 42 is divided by 38? 4 Calculate the remainder when 4755 is divided by 71. 69 What is the remainder when 232 is divided by 131? 101 What is the remainder when 201 is divided by 74? 53 What is the remainder when 219 is divided by 44? 43 What is the remainder when 6893 is divided by 58? 49 What is the remainder when 163 is divided by 80? 3 Calculate the remainder when 1780 is divided by 587. 19 Calculate the remainder when 221 is divided by 74. 73 Calculate the remainder when 3086 is divided by 63. 62 What is the remainder when 236 is divided by 30? 26 What is the remainder when 233 is divided by 77? 2 What is the remainder when 688 is divided by 45? 13 Calculate the remainder when 3120 is divided by 37. 12 What is the remainder when 1332 is divided by 89? 86 What is the remainder when 5292 is divided by 293? 18 Calculate the remainder when 951 is divided by 437. 77 What is the remainder when 40327 is divided by 9? 7 Calculate the remainder when 176 is divided by 95. 81 What is the remainder when 669 is divided by 42? 39 Calculate the remainder when 603 is divided by 18. 9 Calculate the remainder when 2023 is divided by 11. 10 What is the remainder when 8643 is divided by 131? 128 Calculate the remainder when 170 is divided by 29. 25 What is the remainder when 45 is divided by 24? 21 What is the remainder when 803 is divided by 26? 23 Calculate the remainder when 127 is divided by 27. 19 Calculate the remainder when 936 is divided by 305. 21 Calculate the remainder when 91 is divided by 53. 38 Calculate the remainder when 156 is divided by 16. 12 Calculate the remainder when 629 is divided by 143. 57 What is the rem
{ "pile_set_name": "DM Mathematics" }
812 and 366204/31 nonequal? True Do 28829 and 28827 have different values? True Is 1423822 < 1423822? False Are -104399 and -104398 equal? False Is -1 greater than or equal to -12/31117? False Which is bigger: 3/480257 or -1? 3/480257 Is -95486 greater than or equal to -95487? True Which is bigger: -52231 or -52232? -52231 Which is smaller: 8/7 or 176? 8/7 Which is greater: -1485 or -84? -84 Is -1159 < 51? True Does -117 = -7/30? False Which is smaller: -35939 or 1/4? -35939 Which is smaller: -17 or -20/2589? -17 Is 2/59 greater than or equal to -1003? True Do 78 and 117 have different values? True Which is greater: 12/11 or -0.05028? 12/11 Which is smaller: -677304 or -677302? -677304 Which is greater: 1282039 or 1282043? 1282043 Which is smaller: 13/1407 or 1? 13/1407 Which is smaller: -2/392393 or 1? -2/392393 Which is smaller: 333 or 339? 333 Which is smaller: 0 or -1/185600? -1/185600 Is 31744 > 31747? False Which is smaller: -1/5064092 or 0? -1/5064092 Is -16238 at least 2/13? False Which is smaller: -316 or -3/1205? -316 Is 2/15 >= -56142? True Is -1665682 greater than or equal to -1665682? True Do -2 and 98813/5 have different values? True Is 55699 less than or equal to -0.3? False Which is greater: 41423 or 41427? 41427 Is 1610848 > 6443391/4? True Which is bigger: 188857 or 188858? 188858 Are -38136 and 0.031 unequal? True Which is smaller: -8.9 or -1/1361? -8.9 Is -32 greater than or equal to -1560/49? False Which is bigger: -24/37715 or -1? -24/37715 Is -18 < -85/151? True Which is smaller: 119 or -1.81? -1.81 Which is smaller: 1/3 or -1.26505? -1.26505 Are 46404 and -0.19 equal? False Which is bigger: 822823 or 822824? 822824 Which is smaller: 3733975 or -1/2? -1/2 Do 1051798 and 1051798 have the same value? True Is 0.4 at least as big as -0.1509243? True Is 173988 less than 173987? False Is -1 != 153/5119? True Which is bigger: -3/40312 or 1? 1 Is 1603842/7 < 229121? True Is 3/333257 at most as big as 1? True Is -303073 at most -303076? False Is -54372 > -54391? True Which is smaller: -101591 or -101592? -101592 Which is smaller: -4259/11 or -386? -4259/11 Does -71988.5 = 0.2? False Are 76923/2 and 38461 equal? False Is 2.18 < 80? True Which is greater: -60041/26 or -2310? -60041/26 Is 26 less than or equal to 57? True Which is smaller: 10325 or -6? -6 Is -1438 bigger than -329? False Is -5447/88 != -4? True Do -923144 and -923145 have different values? True Which is greater: 0 or -2/817205? 0 Is -20836 at most as big as -20835? True Which is smaller: 163/57 or 2? 2 Which is smaller: 0.1556 or 174? 0.1556 Which is smaller: 84065 or 84057? 84057 Is -43/4074 < -1? False Which is greater: 94522 or 0.3? 94522 Is -1991 at most as big as -1987? True Is -1231 < -1374? False Is 175017 at most -1/3? False Which is bigger: 1711 or 22245/13? 22245/13 Is 105 greater than or equal to 0.6? True Which is bigger: -1 or 2/7717333? 2/7717333 Does -0.1 = -2/728247? False Are 1588 and 4766/3 unequal? True Which is greater: -1038206 or 0.2? 0.2 Is -173819 smaller than -173819? False Is -6054 >= 2? False Is -21/13712 not equal to -1? True Is 66845 greater than 334231/5? False Which is smaller: -2888 or -2915? -2915 Are -860/3993 and -1 nonequal? True Is -1537 bigger than -1540? True Is -4156832 <= -4156832? True Which is smaller: 39/121585 or 1? 39/121585 Is 4/165617 greater than or equal to 1? False Is 5357 smaller than -13? False Which is smaller: 1 or 1/13404841? 1/13404841 Does -335 = -335? True Which is greater: 4/66329 or 1? 1 Are -7203 and -7207 non-equal? True Are -42/8011 and 0 equal? False Is 31092 smaller than 31092? False Are 2153 and 2138 non-equal? True Is -46342 at most 0.2? True Is -6191 at most -61917/10? False Which is greater: 2/534997 or 1? 1 Is 47/8300 at least -1? True Which is smaller: -87 or 24? -87 Which is smaller: 2/62785 or 0? 0 Which is bigger: 1709950/7 or 244279? 244279 Is 300/817 greater than or equal to 1? False Which is smaller: -14767 or -44297/3? -14767 Which is bigger: -0.1 or 15729? 15729 Which is smaller: 0.826 or 426? 0.826 Which is smaller: -6835 or -75173/11? -6835 Is -146 at least as big as -15576/107? False Which is smaller: -15176/25 or -607? -15176/25 Is 1919 smaller than 13434/7? True Which is smaller: 17404 or -6? -6 Which is smaller: -12787/130 or -98? -12787/130 Which is bigger: 245/38 or 5? 245/38 Is -123 > -5? False Which is smaller: -128/10429 or -1? -1 Which is smaller: -532 or 455? -532 Is 1547 at least 1844? False Which is bigger: 1 or -2/21125695? 1 Is 105934 <= 105935? True Which is smaller: 11580 or -2? -2 Is -23 <= 1973? True Is -22339/34 at most as big as -658? False Which is greater: -4.73 or -0.79? -0.79 Is -37938 at least as big as -37945? True Which is smaller: -1 or 833816? -1 Which is greater: -105/5114 or 1? 1 Is -4951 bigger than -13? False Is -18134/9 less than -37/4? True Is -391 equal to -422? False Which is greater: -1/806 or 57/8? 57/8 Which is smaller: -42721 or -42717? -42721 Which is smaller: -113/13637 or 1? -113/13637 Is 564403 != 3950818/7? True Which is smaller: 0 or 473/4456? 0 Is 0 <= 1/1725688? True Which is smaller: 1 or 35583? 1 Which is bigger: 0 or 6/281083? 6/281083 Is -5.7 <= -0.025? True Do 1 and -2/519247 have the same value? False Is 54333 at most as big as 54331? False Are 3 and -2062 nonequal? True Does -937 = -160? False Is 45587 > 45588? False Do 5 and -70078 have different values? True Which is smaller: 3 or 2592/1561? 2592/1561 Which is bigger: -3844 or -4.49? -4.49 Is 2/439705 not equal to -1? True Is 367/2368 equal to 0? False Is 0.7487 greater than 1/9? True Which is smaller: 1 or 94/19425? 94/19425 Which is smaller: -10625 or -10630? -10630 Are -1 and -52/43379 equal? False Which is smaller: -8550 or -8551? -8551 Which is smaller: 8044999 or 8045000? 8044999 Which is greater: 6182 or 6181? 6182 Which is smaller: 197 or -38? -38 Is 6 != -32321? True Which is bigger: 17.8 or 34789? 34789 Which is smaller: 6349 or -118/5? -118/5 Which is smaller: 180161 or 180158? 180158 Are -11049 and -11040 equal? False Which is smaller: 10.26 or 3/802? 3/802 Which is bigger: 3300 or 228? 3300 Is -345 equal to -2044? False Is -497 greater than or equal to -12399/25? False Which is greater: -12517 or -12538? -12517 Is 1245480 at most as big as 3736442/3? True Is -1 less than -506/3937? True Is 49808 greater than or equal to -2/5? True Which is greater: 0.2 or -345715? 0.2 Which is greater: 144.566 or -2/5? 144.566 Is 7611 at most as big as 7603? False Which is greater: -2/5 or -52296? -2/5 Is 3 < 1103? True Is 0 > -1/83790? True Is 4108 at most 4101? False Is -1/676082 < 0? True Is 109865 >= 109879? False Which is smaller: 4 or -7432? -7432 Which is smaller: -36075 or -36074? -36075 Which is bigger: -984 or -955? -955 Which is smaller: 282/2299 or -1? -1 Are 60 and 5403/89 equal? False Is -106/2125 not equal to -1? True Which is bigger: -44565 or -44563? -44563 Which is smaller: -50/11283 or 1? -50/11283 Which is smaller: -11112 or -11111? -11112 Is -916 at least as big as -940? True Which is smaller: -7295 or -26? -7295 Is 64183 greater than 64183? False Which is greater: 246264 or 1/4? 246264 Is 1 greater than or equal to -25/2948? True Which is smaller: 0 or -6/15389? -6/15389 Which is smaller: -30406 or -30407? -30407 Is -0.1 at most as big as -137/301? False Is 748 < 1/2? False Which is bigger: 33270 or 33268? 33270 Which is smaller: 1435/27 or 52? 52 Which is bigger: 763729 or 763732? 763732 Which is greater: 8283 or 8210? 8283 Which is smaller: 31.49 or 50? 31.49 Which is greater: 971032 or -2/5? 971032 Are -37029 and 2/57 equal? False Which is greater: 2 or 1363/764? 2 Is -170 != -3041/18? True Is 1 at most as big as -28/48235? False Which is smaller: 41 or 9141/223? 9141/223 Which is smaller: -31688 or 2? -31688 Which is greater: 0 or -16/19009? 0 Which is greater: 19/173169 or 1? 1 Is -259238 smaller than -259232? True Are 18501 and 18496 non-equal? True Is 5 at least -2209.5? True Are 615618 and 2 equal? False Is -7374/1543 at least -4? False Which is smaller: 130/52583 or -1? -1 Which is bigger: 2/9 or 68187? 68187 Are 0 and -9/14021 nonequal? True Is 1198236 at most as big as 1198237? True Which is smaller: 16/20871 or 1? 16/20871 Is -3145 greater tha
{ "pile_set_name": "DM Mathematics" }
. -9, u, -1, 1 Let n be ((-8)/(-20))/(12/15). Sort n, 2, 0.3, -2 in descending order. 2, n, 0.3, -2 Let u = -83.04 + 0.04. Let m = -83.2 - u. Sort 0.1, 6, m in decreasing order. 6, 0.1, m Let m = 1164 + -1161. Sort -3, m, -1. -3, -1, m Let g be 18/65*-13 - -14*1/(-10). Suppose -3 = 4*y + 21. Put -1, g, y, -4 in descending order. -1, -4, g, y Suppose 6*p - 17 = -77. Let u be 3*((-20)/12 - 0). Sort p, u, 4 in descending order. 4, u, p Let t(v) = v**2 + 5*v - 8. Let y be t(-6). Suppose 14*s = 8*s - 66. Let r = s - -8. Sort r, 2, y. r, y, 2 Let u(n) = n**3 + 10*n**2 - 13*n - 127. Let g be u(-10). Let f = -13 + 12.5. Sort g, -2, -0.1, f in decreasing order. g, -0.1, f, -2 Let k = -9189/13 - -707. Let h = -0.2 + 0.3. Let x = -1 + 0. Sort k, x, h. x, h, k Let v = -0.55 + 0.53. Let u = 11.98 - v. Put -2/7, 4, -1, u in ascending order. -1, -2/7, 4, u Let z be (-90)/(-225)*(1 + 2/(-7)). Suppose 3 + 3 = v - 5*l, v + l = -6. Put 1/3, v, 0.1, z in ascending order. v, 0.1, z, 1/3 Let a be 7*6/210*(-2)/1. Let j = 0.05 - -0.15. Sort 4, -1/6, j, a in ascending order. a, -1/6, j, 4 Let g(s) = -s + 24. Let b be g(10). Let r be (10/b)/(72/126). Sort r, 0.1, 0.2. 0.1, 0.2, r Let u = -7 - -10. Suppose 0 = u*l, -10 = -2*r + l - 3*l. Suppose -c = -r*c + 20. Sort 0, c, -3 in ascending order. -3, 0, c Let u = -32 - -32.7. Sort u, 0, 0.2, -3 in ascending order. -3, 0, 0.2, u Let d be (64/(-180))/(-4)*25/10. Sort -4, d, 216. -4, d, 216 Let n = 1256 - 1308.3. Let x = n + 53. Put -0.1, x, -3, 1 in increasing order. -3, -0.1, x, 1 Let h be ((-9)/12)/(189/(-72)). Let t = -7 - -7.07. Sort h, 4, t in increasing order. t, h, 4 Let r(m) = 40*m - 77. Let z be r(2). Let f be 2*-1*1/2. Sort 1, 2, z, f in increasing order. f, 1, 2, z Let b be 65/(-30) - 1/(-6). Suppose 2*j = -3*l - 19, 3*l + 3*j = 4*j - 13. Put 4, b, 1, l in ascending order. l, b, 1, 4 Let m(b) = 3*b + 19. Let t be m(-5). Sort -4, 0, t in increasing order. -4, 0, t Suppose -17 = -4*u - 1. Suppose -u*f - 6*d - 6 = -4*d, d + 5 = 0. Let v be 4/(16 - 0)*f. Sort v, 1/6, 4. 1/6, v, 4 Suppose 2*t + 75 = 5*x, 18 = -4*x + 3*t + 71. Sort x, -1, -5 in increasing order. -5, -1, x Let s(b) = -b**3 - 5*b**2 + 13*b - 2. Let u be s(-7). Let a(k) = -k**3 + 2*k**2 + 3*k. Suppose 2*z - 4 = 2. Let d be a(z). Sort d, 2, u in ascending order. d, 2, u Let t = -21.1 - -8.1. Let k = -12.53 + 0.03. Let x = t - k. Put 3, -1, x in decreasing order. 3, x, -1 Let c = -5 + 6.1. Let f = c + -0.1. Let y = -1.24 + 1.54. Sort y, 2, f in increasing order. y, f, 2 Let d be 1/3*(18 - 18). Suppose 0 = s - d*s + 4*a + 11, 0 = 4*a + 12. Sort -5, s, -0.5. -5, -0.5, s Let i = -0.96 + 0.944. Let s = i + -4.984. Put -4/3, s, 0.11 in ascending order. s, -4/3, 0.11 Let z(g) = -g**3 - g**2 + 4*g + 6. Let m(o) = -o**3 + 5*o + 7. Let c(d) = 4*m(d) - 5*z(d). Let y be c(-5). Let w be 0/(4 - -7*6/(-21)). Sort w, 1, y. y, w, 1 Let y = -11 + 5. Let j be (-2)/6 - (-4)/y. Let a = 54 - 57. Put a, j, 2 in descending order. 2, j, a Suppose 4*j + 12 = -7*g + 5*g, 2*g = 2*j. Sort -5, -4, j, 3 in decreasing order. 3, j, -4, -5 Let s be (-3)/(-9) + (-194)/(-3). Let o = s - 73. Sort 2, -5, o in descending order. 2, -5, o Let t = -11.9 - -12. Let x = 4.1 - t. Put x, -4/3, 2/7, -9 in decreasing order. x, 2/7, -4/3, -9 Let b(w) = -w**2 + 40*w - 71. Let c be b(38). Sort c, -9, -2, 2. -9, -2, 2, c Suppose -63*x + 71*x = -24. Sort 5, -2.01, x in descending order. 5, -2.01, x Let a be (1/8)/((-4)/1704*3). Let r = a + 17. Sort -0.1, 5, -2, r in ascending order. -2, r, -0.1, 5 Suppose -3*x + 0 = 12. Suppose 0 = 4*t - 2 - 6. Suppose -3*w + t*h + 18 = -0*w, 2*w - h = 11. Sort x, w, -2 in decreasing order. w, -2, x Let u(t) = -2*t + 13. Let m be u(9). Let i be 1*-8 + (4 - -3 - 3). Sort i, m, -7. -7, m, i Let s(q) = q + 1. Let l be s(4). Let o be (-2)/(1/((-15)/(-10))). Sort o, l, -2 in decreasing order. l, -2, o Suppose -4*y - 18 - 18 = 0. Let i(r) = 8*r**3 - 2*r**2 - r + 1. Let t be i(-1). Let q = t - y. Put -2/9, q, 2 in descending order. 2, q, -2/9 Let r = 40 + -16. Let f = -19 + r. Suppose -3*s + 6 = 0, -s + 12 = -f*l - 5*s. Put l, 3, 1 in descending order. 3, 1, l Suppose 8 = -4*s, -3*s = 4*l - 4 - 10. Let j be 1*l/(150/12). Let p = 3.9 - -0.1. Put j, 0.2, p in decreasing order. p, j, 0.2 Suppose 14*i - i = 39. Put 1, -0.2, i, 5 in descending order. 5, i, 1, -0.2 Suppose -4*m - 15 = m. Let h = -2/329 + -307/3619. Put 0.2, h, 3, m in decreasing order. 3, 0.2, h, m Suppose 8*u + 15 = 13*u. Let y(v) = 3*v - 1. Let w be y(-1). Put 0, w, u in descending order. u, 0, w Suppose 11 + 13 = 3*x. Put x, 5, -12 in decreasing order. x, 5, -12 Let f be ((-1)/((-6)/(-9)) + 1)*-22. Suppose 3*u - 4*i = -4, -4*u - 29 + f = i. Sort -2, u, 20 in increasing order. u, -2, 20 Let m = 16.08 + -0.08. Let i = m + -13. Put -5, 4, i in decreasing order. 4, i, -5 Suppose 3*z + 4*a = -4, -3*z - a = -0*z - 8. Let h be 11/(-2) - 3/(-6). Suppose -4*q - 1 - 7 = 0, -4*g - 3*q + 2 = 0. Sort h, g, z in decreasing order. z, g, h Let m = -5 + 4. Suppose 13 = 4*p + 2*t + 1, 2*t = 2*p - 6. Sort p, 1, m. m, 1, p Let u be (-1 - 1/(-16))*128/320. Sort 2, u, -3. -3, u, 2 Let o be 0/((-1)/1) + 36. Let t be 3/(-9) - 552/18. Let s = o + t. Sort s, -0.3, 4 in decreasing order. s, 4, -0.3 Let g be 4*(-1 + (-22)/(-16)). Put g, -2/67, 2/9 in ascending order. -2/67, 2/9, g Suppose 0*h - 24 = -4*h. Suppose q - 1 + h = 0. Let i be 4/(-6)*(-6)/4. Put q, i, -2 in descending order. i, -2, q Let d = -0.29 + -0.81. Let l = -1.3 - d. Put -5, 4/5, l in descending order. 4/5, l, -5 Let h = 224 - 201.4. Let f = h + -4.6. Let k = -15 + f. Sort 5, k, 4 in decreasing order. 5, 4, k Let y = 18 + -5. Let b = -15 + y. Let o = 10 + -8. Sort -4, o, b. -4, b, o Let x = 0.12 - -4.88. Suppose 2 = -3*f - 16. Let c be (3/7)/(f/4). Sort -3, x, c in decreasing order. x, c, -3 Let q(h) = 6*h - 1. Let w be q(1). Let k = -7 + w. Let v be k/(-20)*15/(-6). Sort v, -5, 1/2 in decreasing order. 1/2, v, -5 Let v be (-14 - (4 + -7))/1. Sort v, 3, 2, -5. v, -5, 2, 3 Suppose -51*x + 36 = -53*x. Sort 0, x, 20 in descending order. 20, 0, x Let p be (56/196)/((-1)/7). Put p, -1, -5 in increasing order. -5, p, -1 Let q = -39259 - -39257. Let u be (-3)/4 + (-2)/8. Put q, 25, u in decreasing order. 25, u, q Let z(y) = -13*y - 69. Let m be z(-5). Suppose 2*h - h = 0. Suppose h = 5*g + 10 - 5. Sort -2, g, m. m, -2, g Let w(s) = s**3 - 4*s**2 - s + 1. Let h be w(4). Suppose -u = o - 0*o + 4, o - 20 = 5*u. Suppose 0 = 39*b - 3*b - 144. Sort o, b, h. h, o, b Let o = 106/11 - 413/44. Let r = 10 - 15. Put 4, r, o in descending order. 4, o, r Let q = 94 + -468/5. Let x = 3.7 + -0.5. Let y = x - 4.2. Sort q, 5, y. y, q, 5 Let v = 2/909 + -307/1818. Sort -0.015, v, 0.5 in descending order. 0.5, -0.015, v Let u = 201 + -203. Sort u, -5, -16/9 in descending order. -16/9, u, -5 Let o = -0.016 + -3.984. Sort 5, o, -3, 2 in descending order. 5, 2, -3, o Let o = -11/2 - -5. Suppose -q + 12 = 2*g, 3*g - 11*q = -6*q + 5. Put 0.3, g, -0.2, o in increasing order. o, -0.2, 0.3, g Let z be (23 + -3)*((-392)/(-32))/7. Put z, 5, -1, 2 in increasing order. -1, 2, 5, z Let m = 10.11 - -5.49. Sort -5/4, 4, 0, m in descending order. m, 4, 0, -5/4 Let u = -7.13 - -6.13. Sort -891, 0.3, u in ascending order. -891, u, 0.3 Suppose -5*k + k + 16 = 0. Let y be 0*((-28)/168 - (0 + 3 + -3)). Sort 1, 3, k, y in decreasing order. k, 3, 1, y Let v = 0.424 - 3.424. Put -2, v, -2/9, 15 in ascending order. v, -2, -2/9, 15 Let y(j) = -j - 2. Let l be y(-3). Suppose p = -3*p + 8. Suppose p*r - 6*r = 12. Sort l, 5, r in ascending order. r, l, 5 Let b = -0.4 + 2.4. Suppose 3*s - 2*x + 6*x - 94 = 0, -3*s + x + 119 = 0. Let o be (-2 - s/(-22))*-1. Sort b, -1, o. -1, o, b Let p = 114 - 115. Let x(y) = -2*y**2 - 13*y + 26. Let v be x(-8). Let m be (-1)/((-2)/(-12)*2). Sort m, v, p in decreasing order. v, p, m Let g = -2.33 - 17.67. Sort 2, g, -4. g, -4, 2 Let w = -166.82 - -2.82. Let f = w + 165. Let h = 480 - 4324/9. Sort 4, h, f. h, f, 4 Let k = 3694/9 - 410. Put 0.3, k, -3, -0.2 in increasing order. -3, -0.2, 0.3, k Suppose 3*k = -5*p, -5*k - p = 15 - 37. Sort 0.5, 3/8, 4, k in decreasing order. k, 4, 0.5, 3/8 Let c = -5/104 + -89/312. Sort c, 44, 1/2, 3 in descending order. 44, 3, 1/2, c Let g(l) = -l**2 + 10*l - 12. Let
{ "pile_set_name": "DM Mathematics" }
True Is 1697819 a prime number? False Is 557003 composite? True Is 32173 prime? True Is 15943 prime? False Is 11073 composite? True Is 416089 prime? True Is 75657 composite? True Is 5261 a composite number? False Is 78503 a composite number? True Is 1847389 a prime number? False Is 29683 a composite number? False Is 473581 prime? False Is 785 a prime number? False Is 5755 a composite number? True Is 12283 composite? True Is 8983 a composite number? True Is 445414 composite? True Is 6259 prime? False Is 15839 composite? True Is 48301 prime? False Is 108863 prime? True Is 12657 a composite number? True Is 7379 prime? False Is 1567 prime? True Is 177153 prime? False Is 183 prime? False Is 1203247 prime? False Is 60185 a composite number? True Is 17669 composite? False Is 968519 composite? False Is 1252113 composite? True Is 959645 composite? True Is 91529 a composite number? False Is 2391 composite? True Is 203135 prime? False Is 2537426 a composite number? 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{ "pile_set_name": "DM Mathematics" }
*3*(p - 1)*(p + 1)/2 Let r(y) be the second derivative of -y**5/80 + y**4/48 - 4*y. Determine z so that r(z) = 0. 0, 1 Suppose 0 = 3*f - 10 - 2. Let d be 1*(-2)/(-1 - 0). Factor -2 + g**3 - g + 2 + g**f - g**d. g*(g - 1)*(g + 1)**2 Let j = -1406/6095 - 8/265. Let s = j + 35/46. What is i in -s*i**3 + 1/2*i - 1 + i**2 = 0? -1, 1, 2 Let d(y) be the second derivative of -7*y**6/5 + 111*y**5/10 - 159*y**4/8 + 31*y**3/2 - 6*y**2 + 2*y + 17. Find u, given that d(u) = 0. 2/7, 1/2, 4 Let t(y) be the first derivative of -5*y**3/3 + 25*y**2/2 - 30*y + 60. Let t(z) = 0. Calculate z. 2, 3 Let l(w) be the third derivative of w**6/48 - w**5/15 - w**4/12 + 6*w**2. Find g such that l(g) = 0. -2/5, 0, 2 Let z(l) = -l**4 + l**3 + l**2 - l. Let t be (-4)/6*(-6)/(-4). Let i(o) = -2*o**4 + 3*o**3 - o. Let w(a) = t*z(a) + i(a). Solve w(q) = 0 for q. 0, 1 Let u be -2 + (-2)/((-192)/206). Let n = u - -3/16. Suppose -4/3 - 4/3*x - n*x**2 = 0. What is x? -2 Let x(w) = -w**3 - w**2. Let m(b) = 6*b**3 + 50*b**2 + 192*b + 256. Let d(r) = -m(r) - 2*x(r). Factor d(z). -4*(z + 4)**3 Let y = 169/21 + -47/7. Factor 2/3*l**5 + 0*l**4 - y + 2*l - 8/3*l**3 + 4/3*l**2. 2*(l - 1)**3*(l + 1)*(l + 2)/3 Let s(d) = 4*d - 22. Let r(h) = 2*h - 11. Let y(g) = 13*r(g) - 6*s(g). Let a be y(8). Find l such that l**4 + 0*l**2 + 0*l + 0 + 0*l**3 + 5/2*l**a = 0. -2/5, 0 Let f(v) = 2*v**2 - 39*v - 17. Let z be f(20). Factor -4/7*w**z + 0*w**2 + 10/7*w**4 + 0 + 0*w. 2*w**3*(5*w - 2)/7 Let q be (4/10)/((-4)/(-20)). Let 7*r**2 - 11*r**2 - 9*r + 6 + 7*r**q = 0. What is r? 1, 2 Let z = 50/3 - 16. Let p = 143 + -140. Factor 2*u + z*u**p - 2*u**2 - 2/3. 2*(u - 1)**3/3 Let x(k) be the first derivative of 8*k**5/5 + 11*k**4 - 28*k**3 + 2*k**2 + 28*k + 73. Factor x(q). 4*(q - 1)**2*(q + 7)*(2*q + 1) Let p be 2/((6/2)/(-3)). Let r = 0 + p. Let o(v) = -v**5 - v**4 + v**2 - v. Let b(h) = h**5 + h**4 + h**3 - h**2 + 2*h. Let m(n) = r*o(n) - b(n). Factor m(j). j**2*(j - 1)*(j + 1)**2 Let u be (-3 + (-6)/(-2))/(-1). Let b be 1/((0 - 1)/(-2)). Suppose -2*g + 5*g**2 + u*g + g**3 - 4*g**b = 0. What is g? -2, 0, 1 Let o = -30 - -21. Let x(s) = 7*s**3 - s**2 + 2*s. Let a(l) = -27*l**3 + 3*l**2 - 9*l. Let p(b) = o*x(b) - 2*a(b). Determine i so that p(i) = 0. 0, 1/3 Let m(s) = 3*s**2 + 15*s + 30. Let r(z) = -z**2 + z - 1. Let k(j) = -m(j) - 6*r(j). Factor k(i). 3*(i - 8)*(i + 1) Let z(r) be the second derivative of 4/9*r**2 - r + 2/15*r**5 - 4/9*r**3 + 1/54*r**4 + 4/135*r**6 + 0. Factor z(j). 2*(j + 2)**2*(2*j - 1)**2/9 Let z(j) be the first derivative of -1/4*j**2 + 0*j**3 + 1/8*j**4 + 0*j - 4. Factor z(r). r*(r - 1)*(r + 1)/2 Suppose 3 = 2*f - 1. Factor -f + 2*y + y**2 - 3*y**2 + 5*y - 3*y. -2*(y - 1)**2 Let z be 4/6 - (-12)/9. Let s(y) be the first derivative of -z - 4*y + 0*y**2 - 3/5*y**5 - 1/4*y**4 + 1/6*y**6 + 7/3*y**3. Let s(v) = 0. What is v? -1, 1, 2 Let f(p) = -6*p**3 + 6*p**2 + 3. Let h(m) = m**3 + m**2 - 2*m - 1. Let n(y) = f(y) + 3*h(y). Factor n(u). -3*u*(u - 2)*(u - 1) Let j(x) be the third derivative of -x**7/945 - x**6/135 - 2*x**5/135 + 7*x**2. Find z, given that j(z) = 0. -2, 0 Let u(k) = 20*k**4 - 6*k**3 - 4*k**2 + 22. Let y(t) = t**4 + 1. Let o(m) = -2*u(m) + 44*y(m). Determine a, given that o(a) = 0. -2, -1, 0 Let u(d) = d - 1. Let n(f) = -3*f + 4. Let k(l) = -2*n(l) - 7*u(l). Let t be k(-3). Factor 4/3*s - 2/3 - 2/3*s**t. -2*(s - 1)**2/3 Let c(v) = -v**2 + 4*v - 2. Let h be c(2). Solve h*d**4 + 3*d**2 + 2*d**4 - 3*d**3 - 7*d**4 + 3*d**5 = 0 for d. -1, 0, 1 What is f in -4/15*f + 8/15*f**2 + 4/15*f**3 - 2/15*f**4 - 2/5 = 0? -1, 1, 3 Let v(t) be the second derivative of t**6/50 + 3*t**5/50 - 3*t**4/20 - 2*t**3/5 + 6*t**2/5 + 8*t. Solve v(p) = 0. -2, 1 Let w(r) be the first derivative of 2*r**5/35 - 2*r**3/7 + 2*r**2/7 - 10. Factor w(h). 2*h*(h - 1)**2*(h + 2)/7 Let n(j) = 2*j**2 - 40*j + 3. Let o be n(20). Let k(t) be the first derivative of -3 - 1/2*t + 1/4*t**2 + 1/3*t**o. Factor k(i). (i + 1)*(2*i - 1)/2 Let h(b) = -b**4 - 30*b**3 + 22*b**2 + 11*b + 11. Let p(l) = -6*l**3 + 4*l**2 + 2*l + 2. Let j(v) = 4*h(v) - 22*p(v). Determine d, given that j(d) = 0. 0, 3 Let w(s) be the first derivative of s**4/24 - s**2/4 + 3*s + 6. Let f(i) be the first derivative of w(i). Suppose f(g) = 0. What is g? -1, 1 Let i(p) be the third derivative of -p**5/50 + 13*p**4/60 + 2*p**3/3 - 18*p**2. Solve i(v) = 0. -2/3, 5 Let g(c) be the third derivative of c**6/120 + c**5/60 - c**4/24 - c**3/6 + 12*c**2. Solve g(y) = 0 for y. -1, 1 Suppose -c - 2*y = -4*c + 18, -5*c = y - 30. Suppose -2*a = -o - 9, 5*o = -6*a + 2*a + 11. Determine b, given that 2*b**3 + 5 - a*b**3 - c*b + 6*b**2 - 3 = 0. 1 Let p(a) be the third derivative of a**5/6 - a**4 + 4*a**3/3 + 4*a**2. Factor p(u). 2*(u - 2)*(5*u - 2) Let m(l) = 1. Let w(r) = 2*r**2 + 8*r + 4. Let x be (-3 + 0 - -3)/1. Let h = -4 + x. Let v(y) = h*m(y) - w(y). Let v(u) = 0. What is u? -2 Suppose 2*b + 9 = 3*b. Let r be -3*(-6)/b*1. Solve -2*g + g**4 - 2*g + 3*g**2 - 5*g**3 + 5*g**r + 0*g = 0 for g. 0, 1, 2 What is o in 8/3*o**3 + 16/3*o**2 - 2*o**4 + 1/3*o**5 - 16*o + 32/3 = 0? -2, 2 Let s be (-129)/126 - (-4)/6. Let g = s - -6/7. Let k**3 - 3/2*k**4 + 0 + g*k**2 + 0*k = 0. Calculate k. -1/3, 0, 1 Let x(o) = 13*o**3 - 7*o**2 - 19*o + 13. Let i(t) = -6*t**3 + 3*t**2 + 9*t - 6. Let g(h) = 9*i(h) + 4*x(h). Factor g(q). -(q - 1)*(q + 2)*(2*q - 1) Let l(s) be the third derivative of s**8/280 + s**7/56 + s**6/60 - s**3/2 - 5*s**2. Let j(y) be the first derivative of l(y). Factor j(h). 3*h**2*(h + 2)*(2*h + 1) Let p(s) = -s**3 - s**2 - 1. Let w(v) = 73*v**3 + 67*v**2 + 20*v + 3. Let n(k) = -2*p(k) - 2*w(k). Factor n(g). -4*(3*g + 1)**2*(4*g + 1) Suppose -5*o = -5*y - 10, -3*y + 8 = -0*y + 4*o. Let q(r) be the second derivative of 0*r**3 + 1/6*r**4 + y - 2*r - r**2. Factor q(c). 2*(c - 1)*(c + 1) Let l(p) be the second derivative of -p**5/90 + 5*p**4/54 - 8*p**3/27 + 4*p**2/9 + 11*p. Determine t so that l(t) = 0. 1, 2 Let c(o) be the second derivative of -3/20*o**5 + 0*o**2 + 0 - o + 1/4*o**4 - 1/9*o**3. Solve c(w) = 0 for w. 0, 1/3, 2/3 Suppose 0 = -u - 0*u - 1. Let r be (0/u)/1 + 2. Let 0*l - 4/3*l**r + 2/3*l**4 + 0*l**3 + 2/3 = 0. Calculate l. -1, 1 Let f = 21 + -62/3. Let p be ((-4)/(-12))/((-1)/(-4)). Solve -p*b**2 - b + f = 0. -1, 1/4 Let j(v) = -v**2 - 2. Let p(d) = -4*d**2 - 7. Let c(g) = 7*j(g) - 2*p(g). Find r such that c(r) = 0. 0 Suppose 172 = 24*q + 124. Find v, given that v**3 + 0*v - v**5 - q*v**2 + 3/2*v**4 + 1/2 = 0. -1, -1/2, 1 Let a be (1/7*-4)/(9/(-21)). Factor 5/3*r - a*r**2 + 1/3*r**3 - 2/3. (r - 2)*(r - 1)**2/3 Suppose 3*w - 8 = 1. Factor 2*d**w - d**3 + 2*d**2 - d - 2*d**3. -d*(d - 1)**2 Let a(q) be the third derivative of -q**7/420 + q**6/15 - 4*q**5/5 + 16*q**4/3 - 64*q**3/3 + 5*q**2. Let a(f) = 0. What is f? 4 Let o(w) = -w**2 + 9*w - 8. Let m be o(6). Factor -10*g**2 - 6*g**2 - 8*g - 4*g**4 + 0*g**4 + 2*g**4 - m*g**3. -2*g*(g + 1)*(g + 2)**2 Let v(a) be the second derivative of -1/9*a**4 + 0 - a - 1/45*a**6 + 0*a**2 + 1/12*a**5 + 1/18*a**3. Factor v(n). -n*(n - 1)**2*(2*n - 1)/3 Let r(f) be the third derivative of -f**6/1440 + f**5/240 - f**4/96 + f**3/6 - f**2. Let v(a) be the first derivative of r(a). Factor v(x). -(x - 1)**2/4 Let k = 76 + -74. Let m(u) be the first derivative of 0*u - 1/3*u**k - 5/6*u**4 + 2 - 8/9*u**3 - 4/15*u**5. Determine f so that m(f) = 0. -1, -1/2, 0 Suppose -9*x + 13*x - 6 = 2*f, 2*x = 6. Factor 1/4 + 0*o**2 + 1/2*o - 1/4*o**4 - 1/2*o**f. -(o - 1)*(o + 1)**3/4 Let n(b) = -b**3 + 9*b**2 - 6*b - 11. Let z be n(8). Solve 2/7*k - 4/7*k**3 + 2/7*k**z - 4/7*k**2 + 2/7*k**4 + 2/7 = 0. -1, 1 Factor 1/9*f**2 + 64/9 - 16/9*f. (f - 8)**2/9 Let r(j) = -j**2 - j + 1. Let g(f) = -3*f**3 - 30*f**2 - 27*f + 15. Let b(w) = -g(w) + 15*r(w). Factor b(u). 3*u*(u + 1)*(u + 4) Let f(q) = 2*q**2 + 2 + q**2 + 3*q + 8*q**3 - 11*q**3. Let j(w) = 2*w**3 - 2*w**2 - 2*w - 2. Let p(x) = 4*f(x) + 5*j(x). Factor p(v). -2*(v - 1)**2*(v + 1) Let p(x) = x**2 - 11*x + 20. Let y be p(9). Find q such that 0 + 2/5*q**y - 4/5*q**3 + 2/5*q**4 + 0*q = 0. 0, 1 Let b(w) be the first derivative of -4*w**5/5 + 3*w**4 - 8*w**2 + 1. Factor b(g). -4*g*(g - 2)**2*(g + 1) Suppose -5*u + 1 = -19. Let i(a) be the second derivative of 0*a**2 + 2/15*a**u - 2/25*a**5 - 2*a + 0 +
{ "pile_set_name": "DM Mathematics" }
be a(k). Solve -2 = 4*w + o for w. -3 Suppose 0 = 3*n - 4*n. Suppose -7*t = -2*t - 10. Let m be 1/2*(5 + 3). Solve n = -4*v + t*v - m for v. -2 Suppose 0 = j + j. Solve -4*f + 5*f - 2 = j for f. 2 Suppose 2 = j - 2*p, -4*p = 5*j + p + 20. Let y = 6 + j. Solve -u = y*u + 15 for u. -3 Let x be 5/(-40) - (-25)/8. Solve 2*i + x = 3*i for i. 3 Suppose 8 = -14*k + 18*k. Solve -3*v - k = -5*v for v. 1 Let j be 7 + (-4)/(0 + 2). Let b be (-1)/(4 - j) + 2. Solve b*s - 7*s = -8 for s. 2 Suppose -2*n + 8 = 2*n. Let c(g) = -g - 7. Let x be c(-10). Solve n*f - x = 3*f for f. -3 Suppose 0*w + 5*r + 12 = w, -3*w + 3*r = -12. Suppose 0 = t - w. Suppose 0 = t*v + 3*v. Solve v*c = -c + 4 for c. 4 Let o = -71 - -82. Solve -5*u + 9 = -o for u. 4 Let f be (-3)/(-2)*(-2)/(-1). Suppose b = -0*b - f, -2*b = 4*q + 6. Let l be (2 - 0)/(-4)*q. Solve l = 2*o + 10 for o. -5 Suppose 0 = -u + 3 - 0. Let v(f) = f + 17. Let q be v(-13). Solve -u + q = -j for j. -1 Let j(i) = -2 + 1 + 5 - i - 1. Let y be j(0). Solve u = 2 + y for u. 5 Let f(g) = -g + 10. Let s be f(0). Suppose -5 = -3*n + 1. Suppose n*v - 13 = -3*i, -i + 2*v = -1 + 2. Solve -z - s = -i*z for z. 5 Let o = 4 - 5. Let d = -3 - o. Let y be 9/6 - (-3)/d. Solve 0*p + p - 5 = y for p. 5 Let l be (-4130)/(-126) + 4/18. Let n = -29 + l. Solve -r + 6 - n = 0 for r. 2 Let u = 81 + -81. Solve 0 = -3*r - u*r for r. 0 Let i(c) = -2*c + 1. Suppose -3 + 1 = 2*u. Let k be i(u). Solve -k*f - 1 = 2 for f. -1 Let u = 37 + -11. Let h = u - 25. Solve -h - 9 = -5*c for c. 2 Suppose -52*k - 3 = -53*k. Solve -2 = k*c - c for c. -1 Let s be (-1 + 2)*(0 + 2 + 0). Solve -s*q + 0 = 6 for q. -3 Let u(b) = -b**3 + b**2 + 1. Let p be u(0). Suppose 4*k + a = 4, k - 5*a + p = -19. Let t be -2 + 5 + k + 1. Solve -m = t*m for m. 0 Suppose -22 = -5*k + 3. Let p(x) = -x**2 - x. Let u(w) = -4*w**2 - 11*w + 10. Let y(n) = -3*p(n) + u(n). Let t be y(-8). Solve 0 + t = k*g for g. 2 Suppose -4*a = -3*a - 24. Suppose -a = -0*z - 2*z. Solve -3*d - 3 = z for d. -5 Let c(x) = 11*x**3 + 2*x**2 - 2*x + 1. Let y be c(1). Let o = -12 + y. Solve -2*s + 6*s = o for s. 0 Suppose -2*s = l - 9, -l + s - 12 = -4*s. Solve -3*w = -6*w - l for w. -1 Let k(m) = m**3 - 4*m**2 + 4*m - 3. Let x be k(3). Solve -f - 3 = -x*f for f. -3 Let g be (-5)/(-2 + 2/2). Let i be ((-1)/3)/((-1)/48). Suppose u - n - 7 = 0, -3*u - 2*n + i = -10. Solve 33 - u = g*z for z. 5 Suppose 8 + 2 = 2*g. Suppose -60 = -0*s - g*s. Solve f - s = -3*f for f. 3 Let z be -3 + -3 - (-3 + -8). Solve 8 + 17 = z*l for l. 5 Let a be (3/(-9))/(5/(-195)). Let s = 3 - -4. Solve 0 = -4*o - s - a for o. -5 Suppose 2*h = -0*h. Let n = 2 + h. Solve n*c + 10 = 4*c for c. 5 Let j be 4/(-6)*(-15 + 3). Suppose -2*i + 32 = -4*t, 5*t - t = -5*i + 52. Let c = 4 + 0. Solve c*o + i = j*o for o. 3 Suppose -5*l + 3*w = -3, 7*l - 4*w - 4 = 2*l. Solve 0*j - 5*j - 20 = l for j. -4 Let k(f) = 3*f**2 + 3*f - 3. Let w be k(2). Let q be 1/2*(1 - 1). Let v = 7 - q. Solve -4*m = v - w for m. 2 Let o be (-1)/(-1) - (20 - -2). Let f = o + 31. Suppose -5*r + f + 3 = -3*q, -r = 2*q. Solve r*s - 6 = -0 for s. 3 Let r be 12/(-8)*(-64)/6. Let h = -13 + r. Solve 2 - 5 = -h*z for z. 1 Suppose 2*m - 2*y - 6 = 0, -m = -4*y + 5*y + 3. Suppose 0 = -m*p + 4*p. Solve -w = -p*w for w. 0 Suppose -3*c + 1 = -20. Suppose 0 = c*n - 3*n - 12. Suppose 3*g - 12 = d + n*d, 4*d - 20 = -5*g. Solve -3*v = -d*v - 6 for v. 2 Suppose 10*a = 5*a + 30. Suppose 0 = a*k - 2*k. Solve 3*g - 2*g - 1 = k for g. 1 Suppose 0 = 2*v - 2 - 6. Suppose -2*o + v*o = 0. Solve 4*q - 2*q = o for q. 0 Let m be (-3)/(1/3*3). Let c be 2/(-5)*(-15)/m. Let v be ((-39)/6 - -1)*c. Solve 5*x - 1 = -v for x. -2 Let a(s) = s - 4*s**2 + 8*s**2 - 3*s**3 + 2*s**3. Let o be a(4). Solve o*i = -1 - 3 for i. -1 Let q = -15 + 18. Solve q - 2 = -d for d. -1 Let u(k) = -k**3 + 8*k**2 - 8*k + 7. Let t be u(7). Let c(z) = z**3 + 5*z**2 + 3*z. Let n be c(-4). Solve n = l - t*l for l. 4 Let g be ((-2)/3)/(2/(-15)). Suppose -g*w = -4*a + 8 - 28, 2*w = 5*a + 8. Solve a = -0*r - 5*r + 5 for r. 1 Let z(u) = -2*u - 4. Let r be z(-3). Solve -4*g - r = 2 for g. -1 Suppose -2*t = -10 + 4. Let g = t - -12. Solve a - g = 4*a for a. -5 Let q = 53 - 51. Solve q*a + 2 = 4 for a. 1 Let n be 13 + (-2 - (3 + -2)). Solve -5*w - 10 = n for w. -4 Suppose 3*i + 7*l = 3*l + 32, 3*i + 13 = 5*l. Suppose -6*s + 34 - i = 0. Solve u + s = -0*u for u. -5 Suppose -4 + 12 = 4*i. Suppose -b = -i*b. Solve b = 2*a + 2 + 2 for a. -2 Suppose -5*v = 2*o - 14, 5*o - 4 - 8 = -v. Solve -o*r = 2 - 0 for r. -1 Let j be (-8)/(-10)*(-5)/(-2). Solve j*k = -5 - 3 for k. -4 Let z be 5 + (0 - 1)*0. Let x(y) = -y - 7. Let u be x(-7). Suppose u = -n + 5*n - 24. Solve n*g - z = g for g. 1 Let a = 83 - 49. Solve -4*y + a - 14 = 0 for y. 5 Suppose 18*p + 27 = 27*p. Let a be (-1 - (0 + -1))/2. Solve p*r - r = a for r. 0 Let d(u) = u**3 - 6*u**2 + u - 2. Let p be d(6). Solve -11 = p*a + 5 for a. -4 Suppose -3*o = 5*a - 6, a - 5*o + 3*o - 9 = 0. Suppose -4 = 2*r + 5*x - 0*x, 3*r + 3*x = a. Suppose -32 = -q - r*q. Solve -2*c = -0*c + q for c. -4 Suppose 5*m = 8*m. Let q be 23/2 + 2/4. Solve m = -3*i - 0*i + q for i. 4 Let v(r) = r**2 - 5*r - 2. Let l be v(5). Let x be l - 3/(-1) - -1. Let f(k) = 4*k + 36. Let y be f(-9). Solve y = -x*j + 7*j - 5 for j. 1 Suppose -52 - 18 = 5*o. Let g be (-4)/o + (-57)/(-21). Suppose -w = -g*w. Solve w*m = -2*m for m. 0 Let h be -2*(10/4 + -4). Solve h*x = -x for x. 0 Let b(y) = -2*y**3 - y**2 - y. Let f be b(-1). Solve -f*h = 8 + 2 for h. -5 Let v(j) = -j**3 + 5*j**2 - 3. Let k = 6 - 3. Let y be v(k). Suppose -y + 3 = -3*h. Solve -4*t - 8 = h for t. -3 Suppose -19 = 3*o + 26. Let a = o - -27. Suppose c - 2*c + a = -3*w, -4*w - 16 = 0. Solve c = 4*j - 7 - 1 for j. 2 Let k(i) be the third derivative of i**5/60 - 7*i**4/24 - 11*i**3/6 - i**2. Let z be k(10). Solve 4 = -3*c + z for c. 5 Suppose 20 = 2*m - 2*k, -m - 2*m + 32 = -4*k. Suppose -4*a = -6*a + m. Suppose 0 = 5*x + 5*b - 25, 3*b = -a*x + 5*b + 2. Solve 3*w - x = 4*w for w. -2 Let t(n) = 2*n**2 - 18*n - 17. Let f be t(10). Solve 0 = -f*d + 2*d + 1 for d. 1 Let f = -4 + 19. Suppose 0 = -3*p - 3*z - 9, 0*z + f = -3*z. Solve -15 = -v - p*v for v. 5 Let l = -4 + 10. Solve 2 = -2*d - l for d. -4 Suppose 2*l - 33 = 3*g, -4*g + 37 = 2*l - 3*g. Solve 4*m = -l + 6 for m. -3 Let z = 7 + -11. Let f be (-81)/(-18) - (-2)/z. Solve f*h + 4 = 3*h for h. -4 Let a = 15 + -15. Solve o = -a*o for o. 0 Let p(t) = -t**3 - 5*t**2 - 5*t - 5. Let y be p(-5). Let l = y - 14. Solve -l*r + 12 = -3*r for r. 4 Let q(u) = u**2 + u + 20. Let a be q(0). Solve -4*g - g = -a for g. 4 Suppose 5*s - 11 = 14. Solve s*q + 36 - 11 = 0 for q. -5 Let w = -1 - -8. Suppose 6 = -b - 4*a + w*a, -2*b + 2*a = 0. Suppose -b - 2 = -m. Solve 10 + 0 = m*f for f. 2 Suppose -2*k + 23 = 3. Let y = k - 4. Suppose y*o = 3*o. Solve 20 = -o*u - 4*u for u. -5 Suppose -5*a + 4 = -3*a. Let u be a/4 + 7/(-14). Let t be 4/(-5)*15/(-6). Solve g + u = -t for g. -2 Let s be 25 + ((-32)/2)/(-4). Suppose -4*f + 5*a = -26, 0 = 2*f + 2*a + 7 - s. Solve 0 = 3*h - 0 - f for h. 3 Let d(a) = 3*a - 14. Let j be d(0). Suppose -4*h = -6*h + 6. Let w be (-21)/j*14/h. Solve 1 = 2*c + w for c. -3 Let l be (-3)/9*-3*-8. Let s = 8 + l. Let v = 7 + -1. Solve s = -v*q + 2*q for q. 0 Let z be 12/7 - 2/(-7). Let f be ((-3)/z)/((-1)/2). Suppose -7*b = -f*b - 12. Solve s = b*s for s. 0 Suppose -5*l - z = -1 - 10, 0 = -5*l + 4*z + 31. Let x = -3 + l. Solve x*p + 15 = -3*p for p. -5 Let t be (-1 + 0)/1 + 3. Suppose -5*i + 9 = -2*i. Solve t = i*o + 14 for o. -4 Suppose 21 = 2*j + 3*a, -a + 8 = 3*j - 2*j. Solve j + 0 = v for v. 3 Let u be (-4)/(-7)*14/4. Suppose -f - u*f + 6 = 0. Solve 0 = a - 1 - f for a. 3 Let z = -11 - -17. Solve 0 = 4*o - z + 18 for o. -3 Let y = -5 + 8. Let q = 5 - y. Suppose -q*x - 18 = -4*g - 2, 0 = g + 3*x - 18. Solve 3*w + 0*w + g = 0 for w. -2 Let q be 2*(-3)/6*-29. Suppose q = -2*t - o, -2*t + 3*o + o - 14 = 0. Let s = 25 + t. Solve 2 - s = 2*a for a. -5 Let a = 9 - 17. Let t = 12 + a. Solve 0 = t*p - 0*p for p. 0 Suppose -8*d + 22 = -2. Let w = 5 - 3. Solve d - 1 = -w*r for r. -1 Suppose 1 = 2*i - 9. Suppose -i*n - 8 = -28. Suppose 8*t = n*t + 4. Solve -l + t + 4 = 0 for l. 5 Let v be ((-2)/(-4))/((-2)/8). Let n = v - -6. Let m(i
{ "pile_set_name": "DM Mathematics" }
l**(2/3)/(l/l**6)*l**(-3)/(((l/((l*l*l**(-5/2)*l)/l))/l)/l))**4 assuming l is positive. l**(38/3) Simplify i**(-1)*i/(i/(i**9/i)*i)*i**(-1/5)/(i/(i/i**(-13))*i) assuming i is positive. i**(89/5) Simplify ((c/c**(4/5))/(c*c**(-4/3)))**40 assuming c is positive. c**(64/3) Simplify (c*c/(c**3*c)*c)**(-3)/(((c/(c/((c*c*c**(3/5))/c)*c))/c)/c**3) assuming c is positive. c**(32/5) Simplify y**(-4/9)/(y/(y*(y**(-3/4)/y)/y))*(y/y**(-3))**(-22) assuming y is positive. y**(-3283/36) Simplify (z*z**(-6/11))/z**7*z**(-1/11)/(z**(1/3)*z) assuming z is positive. z**(-263/33) Simplify (m/((m/(m*m**14))/m)*m)/m*m**(2/7)*m**(-6/5)/m**5 assuming m is positive. m**(353/35) Simplify (y**(1/5)/y)**(-14)/((y*y*y**(-7/3))/((y/((y*y*(y**(-8)/y)/y)/y))/y)) assuming y is positive. y**(308/15) Simplify ((p/p**(3/13)*p*p**(-2/17)*p)**(-1/22))**(1/6) assuming p is positive. p**(-293/14586) Simplify ((y/(y/y**(-2/13)))**42/(y**(2/49)*(y/((y*y*(y*(y*y*y*y/(y/(y/y**(2/11)*y))*y)/y)/y)/y)*y)/y))**(-6/17) assuming y is positive. y**(70806/119119) Simplify (h**(-3/11)*(h/(h*h**(-21)*h))/h)/(h/(h*h*((h*h**(8/5)/h)/h)/h*h)*h)**(-29) assuming h is positive. h**(73/55) Simplify ((v**(-2/7))**(6/19)/(v*v**(-6)*v**(1/4)))**(-5/7) assuming v is positive. v**(-12395/3724) Simplify (n**(-8)*n**(3/4))/(n**9)**(3/17) assuming n is positive. n**(-601/68) Simplify (f**(-1))**(-2/9)*(f**(-5/2)/f)/(f*(f**(5/3)/f)/f*f) assuming f is positive. f**(-89/18) Simplify (j*(j/(j/(j**(1/2)/j)))/j*j)**2/(j*j**(-5/3)/j*j/j**(-3/7)*j) assuming j is positive. j**(5/21) Simplify ((q**(-1)/q**(-1/2))**5)**(-1/18) assuming q is positive. q**(5/36) Simplify (p*p*p**(-3))**5/((p**(-2/3)*p)/(p*(p*p**13)/p)) assuming p is positive. p**(26/3) Simplify f/(f*f*f*f**6*f)*f*(f*f**(-8/9)*f)/f*f*f**9*f*f*f**(2/13) assuming f is positive. f**(499/117) Simplify (y/(y/y**3))/(y/(y**(2/3)/y))*y/(y*y*y*y/(y/(y*y/((y*(y/y**9)/y)/y)))*y)*y**(-12) assuming y is positive. y**(-73/3) Simplify (d**(-10)*d**(-2/39)*d)/((d/(d/(d*d*d**(5/6))))/d**15) assuming d is positive. d**(81/26) Simplify z**(-1/8)*z/((z*z**15)/z*z)*z/(z/(z/z**(-3)))*z/z**(-5) assuming z is positive. z**(-41/8) Simplify (((q*q**0)/q**(-4/11))/(q**0)**(-27/4))**27 assuming q is positive. q**(405/11) Simplify (g**3*g**0*g*(g**(-3)/g)**(-17))**(1/23) assuming g is positive. g**(72/23) Simplify (j**(-1/7))**(-31)*(j*j**(-4))**(-2/9) assuming j is positive. j**(107/21) Simplify (((v*v**(-2/15)/v*v)/v)/v**(-33))**(-2/3) assuming v is positive. v**(-986/45) Simplify (((x/(((x**(11/2)*x)/x)/x)*x)/x*x)/x)/(x*x/x**(3/7)*x*x)*(x**17)**37 assuming x is positive. x**(8707/14) Simplify ((m*m**(6/11)*m**(2/11)/m)**(-3/20))**29 assuming m is positive. m**(-174/55) Simplify g**20/g*g*((g*g**(2/7))/g)/g*g*(g**(-2/3)/g)**(-23) assuming g is positive. g**(1231/21) Simplify ((l**(2/5))**(-25)*l/(l*l**(7/4))*(l*l**(1/14))/l)**(5/8) assuming l is positive. l**(-1635/224) Simplify (b*b/b**(9/4))**36/(b**(1/18)/b**(10/11)) assuming b is positive. b**(-1613/198) Simplify ((y**(2/19)*y)/y**7)/(y/y**(4/5))**(-6) assuming y is positive. y**(-446/95) Simplify (d**(2/21)*d*d)**46/(d**22)**9 assuming d is positive. d**(-2134/21) Simplify (b/b**(-3/11)*b**21)**(28/5) assuming b is positive. b**(1372/11) Simplify v**(-12)/v**(1/13)*(v**(-3/5)/v)/v**(1/3) assuming v is positive. v**(-2732/195) Simplify (((f*f**(-2/7)*f)/f)/f**(-7)*f/f**3*f**(-2)/f)**(-14) assuming f is positive. f**(-38) Simplify ((j/(j/(j**(-1)*j)))/j*j**(-7/3)*((j**(2/7)*j)/j)**31)**(3/5) assuming j is positive. j**(116/35) Simplify ((b**(-2/21))**50)**32 assuming b is positive. b**(-3200/21) Simplify (h**(-5/3)/(h**(2/11)/h)*h*h**4/h*h/(h/(h/h**3)))**(-31) assuming h is positive. h**(-1178/33) Simplify (n/(n**11*n*n))**(11/2)*n/n**(-10)*n**18 assuming n is positive. n**(-37) Simplify (v**6)**27*(v*v/((v/v**(2/17))/v)*v)/(v**(-1/14)/v) assuming v is positive. v**(39553/238) Simplify (((c/c**(-7))/c)/((c*c/c**3)/c)*(c**10/c)/c**10)**(-3/47) assuming c is positive. c**(-24/47) Simplify ((l/((l**(-1/15)*l)/l))/((l*l**(2/55))/l))/(l**18*l*((l*(l/(l/((l**(14/9)*l)/l)))/l*l)/l*l)/l) assuming l is positive. l**(-1933/99) Simplify (n**(-7/3)/n)**(-8/11)/(n**(-11)*n*n/n**33) assuming n is positive. n**(1466/33) Simplify ((d*d**(3/8)*d)/((d**21/d)/d*d))**(-2/149) assuming d is positive. d**(141/596) Simplify i**(2/51)/((i/i**(2/33)*i)/i*i*i)*(i/i**(-30))**(-43) assuming i is positive. i**(-749440/561) Simplify (((f**(1/4)/f)**11)**50)**30 assuming f is positive. f**(-12375) Simplify ((a/((a**(6/7)/a)/a))/a**(3/4)*((a**(-1/2)/a*a)/a)**(-11/3))**8 assuming a is positive. a**(386/7) Simplify (l**(1/15))**(5/12)*(l*(l*(l/(l/l**(1/13)))/l*l)/l*l)**(-42) assuming l is positive. l**(-40811/468) Simplify (o**(10/9))**47/(o**(-11/3)/(o*o*(o/(o*o**(-37)*o))/o)) assuming o is positive. o**(836/9) Simplify (d/d**(-1/26)*d*d**(-1/2))/(d/(d**(2/3)/d)*(d**(-7/4)/d)/d) assuming d is positive. d**(617/156) Simplify (a**(-4))**(-47)*a**3*a**(-10) assuming a is positive. a**181 Simplify n/(n/(n**2*n))*n**(3/11)*n*(n**13*n)/(n/(n*n*n*n**9)) assuming n is positive. n**(322/11) Simplify (z**0/z*z)**(-17)*((z*z/z**(-2/5))/z)/(z*z**(1/3)*z) assuming z is positive. z**(-14/15) Simplify (((s*s**(-1/4))/s)**47/(s**(2/13)*s**(-9)/s))**35 assuming s is positive. s**(-3465/52) Simplify (k**(-3/8)*k/(k**11/k*k))/(k**(1/2)/k)**(-9/10) assuming k is positive. k**(-433/40) Simplify (m**(2/9))**16*m**(6/23)/m**(-6/19) assuming m is positive. m**(16252/3933) Simplify z**(14/9)*(z/(z/((z/z**(-7/6))/z)*z))/z*(z*(z**(-3/7)/z)/z*z)**10 assuming z is positive. z**(-449/126) Simplify ((b/(b**(2/9)/b))/b**2*(b*b/b**(-1/5)*b*b)/(b*b/(b/(b*b*(b**(1/2)*b)/b)*b)))**(1/36) assuming b is positive. b**(133/3240) Simplify p**9*p**(3/4)*p/(p/p**(1/3)*p)*p**9 assuming p is positive. p**(217/12) Simplify f**(-1/13)*f**(-6)*(f**(-1/4)/f)**(-1/8) assuming f is positive. f**(-2463/416) Simplify (d*d*d/d**(-1/3))**(-40)/((d*d**(-6/13))/(d*d*d**(-10))) assuming d is positive. d**(-5533/39) Simplify ((k*k**(-5/2)*k)/(k/((k/((k*k**(-1/3))/k))/k)*k)*k**(-1)/((k**(3/2)*k*k)/k))**(14/9) assuming k is positive. k**(-238/27) Simplify (w/w**(3/5))/(w*w**(-13))*(w**(-6)/w)**(-3/32) assuming w is positive. w**(2089/160) Simplify ((q*q**20*q*q**27*q)**(-2/7))**(-16) assuming q is positive. q**(1600/7) Simplify ((g/(g*g*g**(-2/39)*g*g)*g)/(((g/g**(-27))/g)/g))**(-7/2) assuming g is positive. g**(3815/39) Simplify ((w/w**(-2/85))/w**(-31))**(-15) assuming w is positive. w**(-8166/17) Simplify (q**(-2/19))**(-5)*q/(q*((q/(q**(-6)/q))/q)/q*q)*q**(-4/9)*q assuming q is positive. q**(-1012/171) Simplify ((j*j*j**(-1/2)/j*j*j)/j)**(-2/9)*(j/j**4)**13 assuming j is positive. j**(-118/3) Simplify ((k**3*k/(k/(k*k**(-3))))**(-1/16))**(-1/11) assuming k is positive. k**(1/176) Simplify (k/(k*k*(k*k*k*k**(1/8)*k)/k))**(-12/5)*((((k*k*k**2)/k)/k)/k)/((k/(k**(-8)*k))/k*k) assuming k is positive. k**(29/10) Simplify (v**(7/2)*v)/(v**(-1/2)/v)*(v/v**9)**30 assuming v is positive. v**(-234) Simplify ((c*c/(c/(c/c**(-13))))/c)/c*c/c**(-10)*(c**(-1)*c*c)/c**(-3/4) assuming c is positive. c**(103/4) Simplify (a*a/(a*a*a/a**(-7)*a)*a*a*a*a/(a**(-4)*a))/(a/a**(-3)*a**(1/9)) assuming a is positive. a**(-55/9) Simplify ((d**(-2/33)*d)/(d*d**9*d))/((d/(d/d**(2/37)*d))/d)**7 assuming d is positive. d**(4348/1221) Simplify (y**(-4))**(-36)*(y**(-2/5))**(-14/5) assuming y is positive. y**(3628/25) Simplify (x/x**0)**(12/13)/((x/((x*x*x**3*x)/x))/x**(-7)) assuming x is positive. x**(-27/13) Simplify d**(-2/7)*(d*((d*d/(d*(d*d**(-4/5))/d))/d)/d)/d*(d/d**(2/3))/((d*d*d*((d**(3/4)/d)/d)/d*d)/d) assuming d is positive. d**(-379/420) Simplify ((l*l*l**(-41))/(l**(-2/25)*l))**(-36) assuming l is positive. l**(35928/25) Simplify l**(-4/13)*(l*((l*l**12)/l)/l*l*l)/l*l**(2/31)*l/l**(2/17) assuming l is positive. l**(93442/6851) Simplify ((v/v**(-7))/(v*v*v*v*(v**(-3/8)*v)/v*v)*(v**1)**(3/7))**(-26) assuming v is positive. v**(-2769/28) Simplify (t/(t**(-2/57)*t))/(t*t**(-2/7))*t**(1/25)/t**(-8) assuming t is positive. t**(73424/9975) Simplify ((c**(1/2)*c**(6/5))/((c*c**0)/c**(-1/2)))**35 assuming c is positive. c**7 Simplify ((f**1/f)**14*(f/(f*f**(-2)/f)*f)**3)**(-1/21) assuming f is positive. f**(-4/7) Simplify ((f**1/(f*f*(f/(f**(-5)*
{ "pile_set_name": "DM Mathematics" }
Let n(o) = -6*o**3 - 4*o - 2. Let c(d) = -d**2 - 1. Give -2*c(z) + n(z). -6*z**3 + 2*z**2 - 4*z Suppose -2*i - 5*v + 27 = 0, 0*v + 5*v = -i + 26. Let o(l) = 4*l + 0 + i - 10. Let z(h) = 2*h - 5. Give -4*o(q) + 7*z(q). -2*q + 1 Let k(b) = -286*b + 39. Let m(f) = -15*f + 2. What is -2*k(q) + 39*m(q)? -13*q Let i(t) = 2*t + 5*t**2 - 11*t + t**2. Let r(g) = -3*g**2 + 4*g. Give 3*i(u) + 7*r(u). -3*u**2 + u Let b(q) = 6*q - 3. Let x(d) = 7*d - 4. Let v(a) = a**2 - 5*a + 4. Let c be v(4). Suppose -y = 3 - c. Let m be 3/y*-5*1. What is m*x(p) - 6*b(p)? -p - 2 Let k(c) = -c**3 + c**2 - c - 1. Let b(g) = -6*g**3 + 5*g**2 - 9*g - 3. Determine -b(o) + 5*k(o). o**3 + 4*o - 2 Let v(w) = 3*w - 1. Suppose a - 8*a + 7 = 0. Let s(q) = q. Determine a*v(k) - 2*s(k). k - 1 Let m(h) = 2*h**2 - h + 5. Let u(b) = b**2 - b + 3. Let l(j) = j. Let o(z) = 4*z - 3. Let f(g) = -3*l(g) + o(g). Let w be f(0). Determine w*m(s) + 5*u(s). -s**2 - 2*s Let a(o) = 6*o - 2. Let g = 14 + -15. Let t(y) = y. Give g*a(u) + 4*t(u). -2*u + 2 Let w(i) = 22*i**2 + 10*i + 22. Let d = 8 - 1. Let c(q) = 5 + d + 4*q - 3 + 9*q**2 + 0. What is 12*c(n) - 5*w(n)? -2*n**2 - 2*n - 2 Let f(a) = 7*a**3 - 9*a**2 + 5*a - 4. Suppose n = -2*n + 15. Let k(b) = 3*b**3 - 4*b**2 + 2*b - 2. Give n*k(u) - 2*f(u). u**3 - 2*u**2 - 2 Let k(a) = -a + 1. Suppose 5*p + 8 = -3*d - 12, -5*d = p + 26. Let s(l) = -4*l + 6. Determine p*s(y) + 5*k(y). -y - 1 Let b be (-1)/2 - 15/(-2). Suppose 0 = 3*v + 20*v + 69. Let x(o) = -5*o**2. Let i(h) = -2*h**2. What is b*i(y) + v*x(y)? y**2 Let u(w) be the third derivative of -w**4/24 + w**3/6 - w**2. Let q(t) = 4*t - 4. Let l be 0 + (-1 - (3 + -5)). What is l*q(o) + 2*u(o)? 2*o - 2 Let z(u) = -3*u**2 - 2. Let d = 42 + -25. Let j = 12 - d. Let h(s) = -2 + s**3 - 7*s**2 + 0*s**3 - 3. Determine j*z(w) + 2*h(w). 2*w**3 + w**2 Let h(a) = -2*a. Let i(q) = q - 10. Let f be i(15). Suppose -5*t = -t + 2*l - 14, -3*t = -4*l - f. Let d(b) = -5*b - 1. Give t*d(p) - 7*h(p). -p - 3 Let k(q) = 8*q**3 + 5*q**2. Let d(u) = 23*u**3 + 14*u**2. Let f = -288 + 170. Let v = f + 75. Let t = 26 + v. Calculate t*k(g) + 6*d(g). 2*g**3 - g**2 Let j(a) = -3*a**2 - 5*a - 4. Let q(o) = -o**2 - o - 1. Determine 2*j(y) - 10*q(y). 4*y**2 + 2 Let p(g) = g**3 + 3*g**2 + g + 8. Let x(z) = 2*z**2 + z + 8. What is -2*p(t) + 3*x(t)? -2*t**3 + t + 8 Let s(u) = -7*u**2 - 5*u. Let p(m) = 3*m**2 + 2*m. Let t(x) = -3*x - 13. Let f(o) = -5*o - 19. Let w(q) = -5*f(q) + 8*t(q). Let i be w(7). Give i*s(l) - 5*p(l). -l**2 Let r(i) = 3*i**3 + 3*i**2 - i. Let w(n) = n**3 - n**2. Give r(d) - 2*w(d). d**3 + 5*d**2 - d Let x(s) be the first derivative of s**2/2 - 3*s - 10. Let i(d) = -d + 5. Calculate 4*i(q) + 7*x(q). 3*q - 1 Let z(s) = -s. Let m(l) be the first derivative of -l**4/2 + 2*l**2 - 1. Let t be (1 - (-5)/15)*-3. Calculate t*z(b) - m(b). 2*b**3 Let w(l) = 4*l**2 + 3. Let h(u) = -u**2. What is -3*h(v) - w(v)? -v**2 - 3 Let z(y) = -1. Let u(b) = 41*b**3 + 3. Calculate u(h) + 3*z(h). 41*h**3 Let p(j) = -2*j. Let l be (-7)/(-3) - 2/6. Let q(c) = 2*c - 3*c + l*c. Give p(g) + 3*q(g). g Let t(r) = -22*r**2 - 5. Let j(p) = 11*p**2 + 3. Calculate -5*j(c) - 3*t(c). 11*c**2 Let b(f) = 18*f**2 - 2*f + 3. Let k(i) = i**2 - 1. What is -b(m) - 4*k(m)? -22*m**2 + 2*m + 1 Let y(r) = -11*r**2 + 5*r - 5. Suppose -4*i = -2*k, -2*k = i + 6 + 4. Let s(m) = 5*m**2 - 2*m + 2. What is i*y(u) - 5*s(u)? -3*u**2 Let j = -2 + 4. Suppose -5*s - 4*n = 10, 5*s + n - 15 = j*n. Let k(b) = 9*b - 7. Let g(t) = -4*t + 3. Determine s*k(f) + 5*g(f). -2*f + 1 Let u(v) = -5*v**3 - 9*v**2 - 7*v - 6. Let w(h) = -4*h**3 - 8*h**2 - 6*h - 5. Give -5*u(s) + 6*w(s). s**3 - 3*s**2 - s Let p(z) = 5*z**3 + 2*z**2 + 2*z - 2. Let d(l) = 10*l**3 + 5*l**2 + 5*l - 5. Calculate -2*d(t) + 5*p(t). 5*t**3 Let z(b) = -b**2. Let v(a) = -4*a**2. Let n(l) = l**2 + 3. Let y be n(0). Let s be y - ((-15)/(-3) - -2). Determine s*v(m) + 14*z(m). 2*m**2 Let d(n) = n**3 + n**2 - 1. Let i(t) = -7*t**3 - 6*t**2 - t + 8. Suppose 1 = -m - 0. Determine m*i(l) - 6*d(l). l**3 + l - 2 Let w(o) = -o**3 + 6*o**2 + 6*o - 6. Let u be (3/(-9))/(1/(-15)). Let j be (30/9)/u*9. Let c(f) = f**3 - 5*f**2 - 5*f + 5. What is j*c(x) + 5*w(x)? x**3 Let h(t) = 2*t**3 - 8*t**2 + 4*t. Let o(n) = n**3 - 4*n**2 + 2*n. Calculate -3*h(u) + 5*o(u). -u**3 + 4*u**2 - 2*u Suppose -4*s = 2 - 22. Suppose -b - 8 = -s*b. Let t(z) be the first derivative of -z**3 + 5*z + 1. Let x(u) = -u**2 + 2. What is b*t(g) - 5*x(g)? -g**2 Let r be 1 + (-4)/2 + 4. Let f(s) = -4 + r + 2. Suppose -6*d - 4 = -2*d. Let m(j) = -j + 5. What is d*m(y) + 5*f(y)? y Let t = -16 + 17. Let c(k) be the second derivative of -k**4/12 - k**3/3 - k**2 - k. Let v(n) = -n - 1. What is t*c(a) - 2*v(a)? -a**2 Let w be 2/7 - (-76)/28. Let n(p) = -5 + 2 - 3*p**w + 2*p**3 + 2. Let t(g) = -10*g**3 - 11. What is 22*n(d) - 2*t(d)? -2*d**3 Let y = -43 - -39. Let d(x) = -3*x**2 - 4*x - 4. Let p(v) = 0 + 3 + v - 2 + v**2. Determine y*p(t) - d(t). -t**2 Let b(c) = -c. Let d(w) = 3*w - 2. Calculate -b(h) - d(h). -2*h + 2 Let k(t) = -t. Let o = 31 - 36. Let a(w) = 4*w. Suppose 1 = -3*l - 3*y + y, -6 = 2*l - 4*y. Determine l*a(f) + o*k(f). f Let j(t) = 4*t**2 - 2*t + 7. Let p(d) be the second derivative of 3*d**4/4 - 2*d**3/3 + 15*d**2/2 - d. Calculate -13*j(a) + 6*p(a). 2*a**2 + 2*a - 1 Let z(p) = -p - 3. Let d(h) = 1. Calculate d(g) + z(g). -g - 2 Let b(d) = -20*d**3 + 6*d - 6. Let h(p) = -40*p**3 + 11*p - 11. Calculate -11*b(n) + 6*h(n). -20*n**3 Let r(j) = 3*j + 8*j - 4*j + 7*j. Let g be (11/(-2))/((-6)/12). Let c(u) = -5*u. Determine g*c(i) + 4*r(i). i Suppose -30 = r + 4*r. Let h(u) = -4*u**3 + 13*u**2 - 13*u. Let d(p) = 2*p**3 - 6*p**2 + 6*p. Let g = -20 - -7. Determine g*d(b) + r*h(b). -2*b**3 Suppose 3*w = -3*s + 3, -2*w - 12 = -4*s - s. Let u(c) = -c + 3. Let g(o) = -4*o + 13. What is s*g(q) - 9*u(q)? q - 1 Suppose o - s = -6, -4*o - 26 = o - 4*s. Let f(v) = v. Let x(r) = -r**2 - 2*r + 2. What is o*f(m) - x(m)? m**2 - 2 Let n(z) = 2*z - 5*z - 17 - 2*z**2 + 42 - 22. Let s(h) = 3*h**2 + 5*h - 5. Give -5*n(c) - 3*s(c). c**2 Let d(t) = -t. Let y(p) be the second derivative of p**4/6 - p**3/6 + 4*p**2 - 5*p. Let b(x) be the first derivative of y(x). Determine 2*b(c) + 7*d(c). c - 2 Let f(c) = -4*c**3 + c - 2 + 5*c**2 - 5*c**3 + 11. Let g(k) = 4*k**3 - 2*k**2 - 4. Give 2*f(o) + 5*g(o). 2*o**3 + 2*o - 2 Let r(w) = -2*w**3 + 7. Suppose 0 = -k - 1 + 4. Let s(h) = h**k + 4 - h**3 - h**3. Let n = -12 - -17. Determine n*s(j) - 3*r(j). j**3 - 1 Let k(s) = -s - 16. Suppose 0 = -c, 3*i - 12 = 3*c + 21. Let r(q) = 3. Calculate i*r(h) + 2*k(h). -2*h + 1 Let o = 10 - 7. Let t(r) = 5*r**2 - 3*r + 4. Let b(k) = 2*k - 3 - 17*k**2 + 2*k**2 + 11*k**2. Determine o*t(c) + 4*b(c). -c**2 - c Let h(k) = 4*k - 10. Let c(d) = 4 + 5 - 5*d + 2. Let f(j) = -5*c(j) - 6*h(j). Let b(u) = -u - 4. Give 5*b(s) + 4*f(s). -s Let q(o) = -6*o. Let p(l) = -3*l. Suppose 2*f = -4*h - 26, 3*h - f + 4*f = -18. Calculate h*p(y) + 3*q(y). 3*y Let x(j) = -j. Let g(a) = -a + 2. Calculate g(f) + 6*x(f). -7*f + 2 Let n(l) = 2*l - 1. Let p(h) be the second derivative of -h**3/6 + h**2/2 + 16*h. Calculate -2*n(u) - 2*p(u). -2*u Let h be 3 - -1 - (-2 + 3). Let n(q) = q**2 - 3*q. Let v(p) = -4*p**2 + 8*p. Give h*v(a) + 8*n(a). -4*a**2 Let a(q) = 6*q**2 + q + 4. Let f = 43 + -31. Let l = f - 17. Let v(n) = -7*n**2 - n - 5. Determine l*a(y) - 4*v(y). -2*y**2 - y Let b(l) = -13*l**2 - 9*l + 4. Let g(s) = -3*s**2 - 2*s + 1. Determine -4*b(w) + 18*g(w). -2*w**2 + 2 Let j(c) = 6*c + 4. Let q(o) = 25*o + 9. Let k(r) = 2*r. Let u(d) = -6*k(d) + q(d). Give -5*j(y) + 2*u(y). -4*y - 2 Let a(k) = -k**3 - 2*k**2 - 2*k + 1. Let n(l) = l**3 + 3*l**2 + 3*l - 2. Let g = -64 - -61. What is g*a(i) - 2*n(i)? i**3 + 1 Let o(x) = -5*x. Let s(w) = 6*w. Calculate 5*o(t) + 4*s(t). -t Let o(v) = 9*v**3 - 2*v**2 - 4*v - 2. Let g(t) = -10*t**3 + 3*t**2 + 5*t + 3. Determine -2*g(r) - 3*o(r). -7*r**3 + 2*r Let a(k) = -6*k - 3. Let b = -17 + 15. Let j(z) = 12*z + 7. Give b*j(x) - 5*a(x). 6*x + 1 Let n(d) = d. Let k(s) = s**3 + 7*s**2 + s + 6. Let y be k(-7). Let v(o) = -5*o. Determine y*v(p) - 6*n(p). -p Let n(p) = p**3 + 2*p. Let l(z) = 3*z**3 + 3*z**2 - 5*z. Let x(r) = 5*r**3 + 5*r**2 - 9*r. Let k(w) = -7*l(w) + 4*x(w). Give -2*k(h) - n(h). h**3
{ "pile_set_name": "DM Mathematics" }
nearest 1000000. 1000000 Let j = 86983865506 + -86983858453.0002939. Let l = j + -7053. What is l rounded to five dps? -0.00029 Let p be (-3 + (-273)/(-52))*132504. Suppose 2*j + 177402 = 5*j. Let o = p - j. What is o rounded to the nearest ten thousand? 240000 Let x(l) = 125*l**3 + 3*l**2 - 73*l + 264. Let y be x(32). Round y to the nearest one million. 4000000 Let f = 19 - -93. Let k = -114 + f. Let p be (397993 + 4 + 5 + k)*50. Round p to the nearest one million. 20000000 Let g = 4009.2 + -4009.251951. Let c = g + 0.13695. Let n = 0.085 - c. Round n to 5 decimal places. 0 Let l(h) = -8*h**2 - 88*h + 5. Let p be l(-11). Suppose p*r = -f + r + 7748, -r = -f + 7738. What is f rounded to the nearest 1000? 8000 Let u = 9764 + -9763.99991022. Round u to 5 decimal places. 0.00009 Let o = -0.314 + -3.576. Let x = -1.25 + o. What is x rounded to 1 dp? -5.1 Let c = -1752 + 1714.976. Let u = c - -0.424. What is u rounded to the nearest integer? -37 Let l = -20198.00913 - -20198. What is l rounded to 3 decimal places? -0.009 Let q = -4823.8 - -4380. Let j = 506.98 + -10.98. Let s = j + q. What is s rounded to the nearest 10? 50 Let q = -2968.9395 + 2969. Round q to 3 dps. 0.061 Let q = 12.3250953 - 12.2312. Let g = q + -0.094. Round g to five dps. -0.0001 Let v = -1017 - -1017.1229. Let m = v + 959.8771. Let b = 959.9353 - m. What is b rounded to 2 decimal places? -0.06 Let g be (-3)/(4 + (-23)/5). Suppose 591 = -5*a + 5*c + 8051, 3*a + g*c = 4460. What is a rounded to the nearest one hundred? 1500 Let d = -0.10798256 - -65.10800956. Let l = 0.0369 - -64.9631. Let c = l - d. What is c rounded to five decimal places? -0.00003 Let y(z) = -25*z - 271. Let f(w) = 22*w + 271. Let m(t) = -5*f(t) - 4*y(t). Let n be m(-26). Round n to the nearest one thousand. 0 Let w be ((-160)/64)/(9/187005600). What is w rounded to the nearest 1000000? -52000000 Let d = 6749657.000522 + -6749363. Let p = -88 + 382. Let v = p - d. Round v to 4 dps. -0.0005 Let j = 675.69 + -675. Let y = j - 0.70052. Round y to 3 dps. -0.011 Let h = 21 - 60. Let o = -38.92 - h. Let w = o - 0.0800099. Round w to six dps. -0.00001 Let w = 4950 - 4949.999893098. What is w rounded to 6 dps? 0.000107 Let m(c) be the third derivative of 11259*c**5/10 - c**4/3 - 5*c**3/3 + 3*c**2 - 11. Let k be m(-3). Round k to the nearest 10000. 610000 Let a = 25015.99984911 + -25016. What is a rounded to 6 decimal places? -0.000151 Let j(i) = 14*i**2 + i. Let m be j(1). Let d(z) = 216*z - 12. Let l be d(m). Suppose -2*c = b - 2*b - 3216, -2*b + l = 2*c. Round c to the nearest 100. 1600 Let n = -19609.999988497 + 19610. What is n rounded to 7 decimal places? 0.0000115 Let b = 25732 + -25732.00020116. What is b rounded to six decimal places? -0.000201 Let k(z) = 27657*z**2 + 102*z - 7. Let i be k(-3). What is i rounded to the nearest one hundred thousand? 200000 Suppose -4*d = -16, -4*h + 35476788 - 12916904 = -4*d. Suppose -5*m = 5*s - h, m = 6*m - 2*s - 5640010. Round m to the nearest one hundred thousand. 1100000 Let k = -82.957886828 + 83.115004. Let z = k - 71.157127472. Let c = 71 + z. What is c rounded to 6 dps? -0.00001 Let i = 2726 - 1548. Let m = 1177.9999099 - i. Round m to six dps. -0.00009 Suppose -5*q - 13 = -38. Let k(g) = 4*g - 2*g**3 + 2*g**2 - 6 - q*g**3 + g**2 - 9*g**2. Let s be k(6). What is s rounded to the nearest one hundred? -1700 Suppose -4*c - 4*d + 2176 = -292, c + 4*d = 611. What is c rounded to the nearest one hundred? 600 Let h = -42 - -46. Suppose 0*j - h = -2*j. Suppose 0*t + 380000 = -j*t - 5*m, 3*m = -4*t - 760000. What is t rounded to the nearest 100000? -200000 Let l = -266 - -265.876. Let c = l - 0.053. What is c rounded to two dps? -0.18 Let r = 30.9 - 31. Let k = r + 0.089. Let f = k - -0.011689. What is f rounded to four dps? 0.0007 Let i = 387 + -542. Let c = i - -154.54. What is c rounded to 1 decimal place? -0.5 Let o = 2641279655.0027 - 2641124426. Let t = o - 155196. Let g = -33 + t. What is g rounded to three decimal places? 0.003 Let s = -7643.5 - -14676. Round s to the nearest 100. 7000 Let y = 2.044 + 81.856. Let j = 83.900423 - y. What is j rounded to 4 decimal places? 0.0004 Let m = -112245951 - -112245951.65000103. Let j = m - 0.65. What is j rounded to 6 decimal places? 0.000001 Let x = -96222802.300159 - -96222842. Let h = -114.6 - -74.9. Let m = h + x. Round m to five decimal places. -0.00016 Let u = 790.799994793 - 790.8. What is u rounded to 7 decimal places? -0.0000052 Let n(a) = 4*a**3 + 6*a - 22. Let x be n(4). Suppose -x*t + 337200 = -261*t. What is t rounded to the nearest one thousand? -112000 Let y = -74545 - -82224.7. Let t = 8441 - y. Round t to the nearest 10. 760 Suppose 0 = 7*u - 16 - 12. Let a be 18/u*12/18. Suppose -a*s + 600015 = 3*w, -s - 799995 = -w - 3*w. What is w rounded to the nearest one million? 0 Let n(h) = -3*h**3 + 3*h**2 + h + 488. Let q be n(0). What is q rounded to the nearest 100? 500 Let y(b) be the third derivative of -b**5/60 - 2*b**3/3 + 28*b**2. Let p be y(0). Let o be 18880048/(-32) - 6/p. Round o to the nearest 100000. -600000 Let p = -259.322 + 259. Let x = p + 0.30978. What is x rounded to 3 decimal places? -0.012 Let a = -0.83 + 0.593. Let m = a + 0.236993. What is m rounded to six dps? -0.000007 Let j = -1809 + 1876. Let h = -68.8442 - -1.5542. Let g = h + j. What is g rounded to 2 decimal places? -0.29 Suppose -33*n = 77*n - 695200. Round n to the nearest 10000. 10000 Let i(t) = 2*t - 28. Suppose -2*j - 2*j = -56. Let n be i(j). Let s be 15*(42/(-9) + n). Round s to the nearest one hundred. -100 Let p be (2 + (-10 - 167))/(1/(-7664)). Round p to the nearest one hundred thousand. 1300000 Suppose 5*v + 2*w - w = -60450, 3*v - 5*w + 36270 = 0. Let b = -14550 + v. What is b rounded to the nearest 1000? -27000 Let m be 5 - 106/2*-1. Suppose 53*o - 60 = m*o. Let x be o/3 - 4590003/(-3) - -3. Round x to the nearest 1000000. 2000000 Let f = 40940 - -9210. Round f to the nearest one hundred thousand. 100000 Let j = 3568893790 + -3568893821.79870158. Let b = -209.20128772 + j. Let l = b - -241. What is l rounded to six dps? 0.000011 Let k = -21.92 + -0.08. Let d = -21.9552351 + -0.0476649. Let h = d - k. What is h rounded to 2 dps? 0 Suppose -v - 15 + 0 = 3*o, 20 = -2*o - 4*v. Let y(r) = -11346*r + 16. Let k be y(o). Suppose -k = 5*c - 7*c. Round c to the nearest 1000. 23000 Let k(o) = 815910*o**2 - 5*o - 5. Let n be 3*(-1)/(6 + -3). Let r be k(n). Let g = r + -243910. Round g to the nearest one hundred thousand. 600000 Let p = -387.72 - -255. Let d = p - 2.28. Let l = -134.99999897 - d. What is l rounded to seven dps? 0.000001 Let v = 11171.6 - 10267. Let a = -787 + v. What is a rounded to the nearest ten? 120 Let j(h) = 40*h**2 + 3*h - 22. Let q be j(12). Let g = q - 1834. Suppose 3*a - 4*a = g. What is a rounded to the nearest 100? -3900 Let q = -1.8 + 48.8. Let y = 32.643 - 79.65. Let p = q + y. Round p to three decimal places. -0.007 Let s = 38068.9951378 - 38069. Round s to 4 decimal places. -0.0049 Suppose 5247900 = -0*g + 9*g. Suppose -26*u - g = -9*u. Round u to the nearest 1000. -34000 Suppose -o + 119651 = -2*a - 3*a, -4*o + 3*a + 478553 = 0. Let w = 222454 - o. Let g = w - -367182. Round g to the nearest one hundred thousand. 500000 Suppose 148*d + 3448100 = -57*d. What is d rounded to the nearest 1000? -17000 Let k = 1005.81 + -990. Let j = 14.08 - 14.19. Let i = j + k. Round i to the nearest integer. 16 Let x = -67 - -72. Suppose -x*i - 308233 = 2*s + 18562, 490198 = -3*s - 2*i. What is s rounded to the nearest ten thousand? -160000 Let u = -1877 - -9366. Let x(s) = -28478*s - 29069*s + u*s - 12442*s. Let a be x(4). What is a rounded to the nearest 10000? -250000 Let y = -0.221681 + 0.20778. What is y rounded to 3 decimal places? -0.014 Let s = 3949077 + 59923. What is s rounded to the nearest one hundred thousand? 4000000 Let g = -132897.019 + 132683. Let v = -145.0182 - g. Let i = -69 + v. Round i to four decimal places. 0.0008 Let z = 0.7692 - 0.0532. Let y = 0.71600561 - z. Round y to seven dps. 0.0000056 Let i = 1305 - 895. Let o = i - 430. What is o rounded to the nearest one hundred? 0 Let w = -49 - -49. Suppose w = -x - 2, 143709 = -c - 10*x + 5*x. Let j = -356301 + c. What is j rounded to the neares
{ "pile_set_name": "DM Mathematics" }
What is the value of 106/(-112) + (-9234)/(-304) + -30? -4/7 What is ((-3)/(-2)*(-460)/(-5175))/((-1)/(-9))? 6/5 What is ((-784)/(-448) - 3/2)*-6? -3/2 17/(-6) + 8/24 + (-391)/(-138) 1/3 What is the value of ((-12)/(-14))/(13 - 740/56)? -4 What is the value of (-38 - 7)/(-9) - -5? 10 Evaluate 7 + (12 + 11 - 60). -30 ((-15)/(-70)*7)/(105/28) 2/5 What is (-5)/(-50) - (-2686)/340? 8 Evaluate 12/(-672)*-1016 + (-22 - -5). 8/7 4620/(-735) - ((-10)/2 - 1) -2/7 Calculate -26 + 375/175 + 23. -6/7 (4625/(-2775))/(2/18) -15 364/(-28) + 3 - (-9 - 2) - 10 -9 What is the value of 159/795 + (0 - 6/(-39))/5? 3/13 What is 1054/3162*6/23? 2/23 85/(-765)*(-3)/(-18)*9 -1/6 (168/(-520)*-5)/3 - (-3 + 4) -6/13 Evaluate (-10)/(-2) - ((-310)/(-60) - 0). -1/6 Calculate 7 + (-15 - -7) + (-70)/5 + 5. -10 Evaluate (-21971)/1211 + 34/2. -8/7 What is the value of (-86)/129*17/6*-9? 17 (-9 + 1)*(4 + 10 + -13) -8 Calculate (8/(-148) + (-5558)/2590)*5/6. -11/6 Evaluate -7 - (-310)/42 - 6/9. -2/7 What is (4/77)/((-1)/(14/(-4)))? 2/11 What is the value of 15/(-2)*1260/(-675)? 14 What is 238/1148*(-44)/(-187)? 2/41 Evaluate 1 - (-9)/(-6) - 130/(-286). -1/22 Evaluate (-500)/20 + 26 + 8. 9 Evaluate 5/((-15)/(-24)) - (61336/(-198))/(-41). 4/9 Calculate (-4)/8*(-14 - -4) + (-216)/44. 1/11 (-105987)/(-18228) + (12/(-93))/2 23/4 Evaluate 88/70 - (2 - (5 + 60/(-21))). 7/5 466/104 - (-7)/(420/45) - 5 3/13 Calculate ((-67)/(-6))/(-1) + (-1)/(-36)*6. -11 Calculate (374/1870)/(8/6 + -1). 3/5 What is the value of 57/(-165) + 141/470? -1/22 Calculate 13/3 - ((-102)/(-459))/(4/90). -2/3 Calculate -14 + ((-648)/16)/(-3). -1/2 2190/94050*15 - (-2)/19 5/11 Calculate 1*(-16)/(-24)*6/(-14)*-21. 6 What is (2/(-10))/(60/(-75))*(-13)/(-26)? 1/8 What is ((2368/(-392) - -6)*7)/(2/28)? -4 Calculate 2 + -32 - 16/32*-20. -20 Evaluate 33728/2240 + ((-40)/(-175))/(-4). 15 ((-3)/((6/6)/(4 - 3)))/1 -3 Calculate (-15)/((-600)/(-88)) - -1. -6/5 What is 128/(-62) - -2 - (-85608)/(-10788)? -8 Calculate ((-7)/(84/(-66)))/((-19)/(-38)). 11 87 + -73 + (-136)/10 2/5 Calculate (-656)/123*(0 + (-9)/(-6)). -8 Calculate 0 + (2 + 152/(-78))/((-1)/(-3)). 2/13 Evaluate (350/(-75) - 15) + (-1)/3. -20 What is the value of (6/(18/(-33)))/1? -11 What is the value of 0 - (-26 - (-8 + -9))? 9 What is the value of ((-390)/(-1365))/(1/(-7))? -2 Evaluate ((-10)/(-15) + (-1 - -2))*(57 - 60). -5 Evaluate (-23)/6 - ((-209)/286 - (-9)/39). -10/3 Calculate ((-12)/(-15))/(7/((-70)/12)). -2/3 Calculate (72/(-360))/(20/(-75)) + 65/4. 17 Evaluate -1 - -5 - (16/(-360) + 806/(-90)). 13 Evaluate (-15)/((-15)/(-4))*(2 + -2 + 1). -4 What is the value of 0 + (5/2)/(7*(-50)/(-1680))? 12 Calculate (-5)/(-2) + (-59037)/3578. -14 What is -6 - (20*1 + (-1044)/87)? -14 Evaluate (-3792)/172 - (-498)/10707. -22 Calculate 9/6*(-110)/(-66)*(-2 + 0). -5 What is 12/(-60)*-55 + -10? 1 Evaluate (-70066)/(-26440) - (-1 - 7/(-5)). 9/4 What is the value of -3*(9 + (-1196)/69)? 25 ((-20)/8)/((-965)/(-772)) -2 Calculate 4/3*1053/(-108). -13 13 + (-493)/((-476)/(-28)) -16 Calculate (-2)/(-12) + -3*(5192/(-144))/11. 10 What is the value of 2/(-15)*(-7 - 143 - 15)? 22 What is (-222)/20 - (3 - (-217)/(-70))? -11 What is the value of 24/(648/(-333)) + (19 - 4)? 8/3 (-4 - 702/(-189))/(96/35 + -3) 10/9 Evaluate (6 + 170/(-25))*(-30)/468. 2/39 What is 6 + (-27 - -17) - 2*(-6)/(-4)? -7 Calculate (116/(-5655))/(10/(-25)). 2/39 What is (-15)/(-25) - 20/25? -1/5 What is ((-14)/24)/(2296/(-2624))? 2/3 Calculate (-4632)/(-360) - 2*((-354)/(-90) + -4). 13 What is (-63)/(-189)*(-84)/2 - 8? -22 Evaluate (-98)/(-21) + 5 - 4/6. 9 What is the value of (1816/(-100))/2 + (-2)/(-25) + 0? -9 Evaluate 2/(-10 + -6)*2 - (0 - 0). -1/4 What is (-250)/(-300) - 57/(-18)? 4 What is the value of (-972)/6552*(-21)/18 + 9/12? 12/13 2/6*3*(1 - (-9 + -1)) 11 ((-416)/2080)/(1/3) -3/5 What is the value of (-759)/(-198) - ((-4)/(-16) - (-7)/12)? 3 What is the value of 2/(-4)*((-12 - -56) + -16 + 12)? -20 What is (-36)/(-5)*(-40)/(-4160)*52? 18/5 What is (-10)/(-4)*((-308)/(-231))/((-40)/36)? -3 What is the value of ((-39)/12)/(490/56 - 9)? 13 What is the value of (-2)/((-4)/(-5))*4620/1050? -11 Calculate -2*(-2)/(-16) + 1780/(-160) + 11. -3/8 What is the value of (-36)/3*(-1435)/(-3690)? -14/3 (26 + 0 - 2)/(6/4) 16 What is the value of ((-5 - 4) + 6)*(65/(-15) + 2)? 7 Calculate 69/(-60)*(-252)/(-2898). -1/10 Calculate -1 - 30/((-26)/4*(-4)/13). -16 Evaluate -6 - (42 + -50 - 64/(-10))*20. 26 What is 2/(-10) + ((-209)/35 - -5)/(-2)? 2/7 (1 + -19)/2 - (-17 - 4) 12 What is the value of (2952/144)/(57/(-30)) - -11? 4/19 Evaluate 5/((-50)/35) - -2 - (-414)/324. -2/9 Calculate 2 + -6 - -4 - 7 - (21 + -11). -17 (28/21)/((-3)/9*-5) 4/5 -2 + 148/20 + 9*(-20)/60 12/5 Evaluate 0 + (-4)/(-35) + 12/42. 2/5 Calculate 3/5 + 46092/(-1670). -27 Calculate 10/80 + (-69)/(-24) + -3. 0 What is (-1 + (-33)/(-4))*400/(-100)? -29 (-164)/(-287)*14/(-20) -2/5 What is (-7712)/(-964) + (-180)/8 + (-2)/(-4)? -14 What is the value of ((-192)/960)/(2/(-2))? 1/5 What is -10*(-32)/(640/30)? 15 Evaluate (32 - 528/36) + (-2)/6. 17 What is (-32)/(-60)*(-84)/(-112)? 2/5 What is the value of (3/2 + -2)/((221/119)/13)? -7/2 What is (-2)/(32/(-260))*(-12)/30? -13/2 What is 760/(-57)*3/(-5)? 8 What is the value of ((-83)/(19422/156))/((-1)/27)? 18 What is the value of 614/(-28) + (44 - 54)/140? -22 What is 15 + (3 - (-5364)/(-297))? -2/33 What is the value of 432/220 + 70 + -72? -2/55 What is the value of (-1)/3*9/6 - (-95)/38? 2 Evaluate (((-49)/(-98))/(9/8))/((-4)/(-36)). 4 (92/14 + -7)*1 -3/7 (-28)/(-3640)*-8*5/(-2) 2/13 What is the value of (-28)/(-308) + 6/(-22) + (-174)/11? -16 What is the value of -3*(-4)/(-180) + 93357/3105? 30 What is 10/12 - (-59 + 1074/18)? 1/6 (-12)/(-28) + 4576/364 13 2*465/(-1364) + -2 + 5/2 -2/11 (-60)/(-1596) - (-2)/(-14) -2/19 Calculate (2/45)/((-877)/8770). -4/9 Calculate ((-70)/35)/((-177)/(-3)). -2/59 What is the value of (-9 - (-279)/18)/(1/(-2))? -13 (-11 + 204/18)/(-3*(-3)/(-243)) -9 What is the value of -28 + (-7440)/(-220) - 6? -2/11 Evaluate 38/399 + (-1236)/(-252). 5 Calculate (-1)/(-3) - (-176)/(-528). 0 Evaluate (-80)/(-13) - 14*78/182. 2/13 What is the value of ((-10)/(-3))/((-135)/27)? -2/3 What is -1*(-11 + -9 - 1)*-1? -21 What is the value of (-205)/(-175) + (-616)/1078? 3/5 What is 9 - ((-8)/(-544))/(1/620)? -2/17 What is the value of 0/(2 + 23 - 21)? 0 What is 90/4 + (-805)/630 + 2/(-9)? 21 (11 + 61)/6*(-4)/(-32) 3/2 Evaluate 25/(250/(-90)) + (-11)/1. -20 Calculate 1/(11/6) - (-10965)/(-561). -19 Evaluate 20/(-15)*4*(-54)/96. 3 ((-3)/((-135)/210))/((-3)/9) -14 What is 0 + 2*((-5005)/(-990) - 4/(-9))? 11 What is the value of -15 - (-60)/2 - 12? 3 What is (-216)/(-120)*170/(-2295)*(1 - 13)? 8/5 (2/8 + (-13 - (-165)/12))*-1 -1 What is (56/6)/(15 - 799/51)? -14 What is the value of 171/(-1026)*(-66)/1 + -24? -13 What is the value of (-199)/7 + 10*(-11 - (-4213)/385)? -29 Calculate 26 - 434/154*11 - (-237)/47. 2/47 What is the value of (-8 - -20)/(60/70)? 14 (-4 - 161/(-14))*(95/(-100) - -1) 3/8 What is the value of 2 - ((-658)/(-234) + (-432)/486)? 1/13 What is ((-3366)/(-935))/((-9)/(-30))? 12 Evaluate (-6)/(1 + 2/4 + 99/(-42)). 7 What is the value of (-3)/(27/15)*(935/100 + -11)? 11/4 What is 1/(-1)*989/161 + (-18)/(-3)? -1/7 (-501)/1152*-32 + 2/24 14 (11 - 18) + 32 + -23 2 What is the value of 96/(-60) - (-16)/10? 0 Evaluate (3192/408 - 6/(-34)) + 12/2. 14 What is ((-37)/(3219/6))/(14 + -15)? 2/29 Calculate (-6)/(-15)*((-2014)/(-95) + -21). 2/25 Calculate (-8)/(-6)*465/7750. 2/25 (-14)/126*(8 + -7) -1/9 Evaluate (-431)/6*(-2)/(-19) - 42/399. -23/3 Calculate (561/(-132))/17 - 87/(-12). 7 What is the value of (37 + (-2573)/62)*2*22/6? -33 Evaluate 60/(-27)*-3 + 0 + (-255)/153. 5 What is the value of (-36 - 4089/(-116))/(1/12)? -9 What is the value of 416/(-30) - ((-92)/(-690) - 0)? -14 Calculate 4/((-56)/18*(-96)/64). 6/7 Calculate 1170/(-3458) + (-9)/(-1881)*11. -2/7 (-7 - 12) + -26 + 41 + (-76)/(-22) -6/11 What is (-8)/50*20/40 - 69/75? -1 What is the value of (-63)/((-7560)/(-400)) + ((-808)/(-66))/4? -3/11 What is the value of (-6)/9 + (-65)/(-3003)*14? -4/11 (26 + -2)*(-2628)/(-2336) 27 Calculate ((-10 - -1) + 1)*(14 + -15). 8 What is -6 + -1 - (-1)/16*6*-8? -10 What is ((-128)/(-192))/(
{ "pile_set_name": "DM Mathematics" }
3*s + 13 + 4 = 0, -4*m = 2*s + i. Let q(p) = p**2 + 1. Give q(m). 5 Let n be (6/(-4))/(3/(-4)). Let p(x) = 8 - 5*x**n - 3*x**2 + 27*x - 32*x - x**3 + 0*x**3. What is p(-7)? -6 Suppose 0 = -6*v + v. Let i(b) = b**2 - 10*b - 10. Let h be i(11). Let o(g) = 4 - h + 2 - g. Calculate o(v). 5 Let f(u) = -7*u**3 + 2*u**2 + 11*u - 17. Let q(l) = 3*l**3 - l**2 - 5*l + 8. Let s(d) = -4*f(d) - 9*q(d). Determine s(0). -4 Let w(v) = -10*v**2 - v. Suppose 2 = -o + 4*n - 1, 3*n = -5*o + 8. Suppose 0 = 3*u - 5*f + 7 - 0, 2*f + o = 5*u. What is w(u)? -11 Let s(a) = -1 + a - 1 + 3. Let g be 1/(0 - (-5)/(-10)). Determine s(g). -1 Let c(z) = 6*z**2 - 3. Let f(u) be the third derivative of -u**5/60 + u**2. Let s(w) = c(w) + 5*f(w). Give s(-3). 6 Let g(r) = r + 4. Let i be g(-5). Let y(b) = -b**2 + b. Let n(a) = 7 - 3 - 6*a**2 - 5 + a. Let p(l) = -n(l) + 3*y(l). Determine p(i). 2 Let m(s) = 3*s**2 + 2*s - 11. Let z(h) = -5*h**2 - 5*h + 21. Let k(t) = -7*m(t) - 4*z(t). Let a(v) = 2*v + 1. Let j be a(2). Determine k(j). -2 Let l(s) be the third derivative of 0*s + 1/60*s**5 + 1/3*s**3 + s**2 + 1/6*s**4 + 0. Determine l(-4). 2 Let n(d) = -14*d + 23. Let v(b) be the third derivative of 5*b**4/24 - 4*b**3/3 - 4*b**2. Let c(u) = 6*n(u) + 17*v(u). Give c(5). 7 Let z(h) = 2*h**2 + 4*h + 1. Let d be (-2)/(-4)*(4 + -10). Calculate z(d). 7 Let w(q) be the first derivative of 1 + 4*q + 3/2*q**2. Give w(-4). -8 Let g(a) = 0*a + 1 - 2 - 3*a - a. Calculate g(2). -9 Let g be -3 - (3 + -2)*1. Let y(b) = 9*b**3 - 6*b**2 + 12*b + 21. Let c(u) = -5*u**3 + 3*u**2 - 6*u - 11. Let l(p) = -11*c(p) - 6*y(p). What is l(g)? 3 Let o(c) be the first derivative of c**3/3 + 2*c**2 - 4*c + 2. Suppose 0 = -2*x - 3*j + 1 + 12, x - 3*j = -16. Let p be 2*(-10)/(-4)*x. Determine o(p). 1 Let u(w) = -3 + 7*w + 4 - 4*w + 3. Let z be -2 + 0/(-2) + -1. What is u(z)? -5 Let k be 25/2 + 3/(-6). Suppose k = -4*t + n, -t = -n + 4 + 2. Let s(h) be the second derivative of 2*h**3/3 + h**2/2 + 3*h. Determine s(t). -7 Let w(n) = 2*n**3 + 13*n**2 - 17*n - 15. Let v(a) = -a**3 - 7*a**2 + 9*a + 8. Let s(u) = -11*v(u) - 6*w(u). Let z = 108 + -111. Give s(z). 11 Let f(a) = a + 3. Let z be -7 + 0/(-4 - -2). Let p be f(z). Let d(u) = u**3 + 4*u**2 - u - 3. Calculate d(p). 1 Let n(s) = -s**2 - 8*s - 10. Let r be n(-5). Let t(g) = -g**2 + 4*g - 4. Give t(r). -9 Let x(b) be the first derivative of -2*b**2 + 3 + b**3 - 4*b + 1/4*b**4. Give x(-3). 8 Let p(t) = 9*t - 1. Let w be 6/(-3)*(-4 + 5). Calculate p(w). -19 Let l(p) be the first derivative of -8*p**2 - p - 4. Let a(c) = -3*c. Let r(b) = -11*a(b) + 2*l(b). What is r(0)? -2 Let v = -4 + 7. Let x = 6 + -4. Let f(y) = -2*y**2 + 6*y**2 - 3*y**3 + 2 + x*y**3 - 2*y. Give f(v). 5 Let c(p) be the third derivative of -p**4/24 + 2*p**3/3 + 17*p**2. Give c(2). 2 Let d = 1 - -1. Let t(z) = -z**2 + 2*z. Let b be t(d). Let c(s) = 2*s + 0*s + s**2 - 3*s + 0*s**2 + 9. Calculate c(b). 9 Let i(d) be the third derivative of 1/24*d**4 + 2*d**2 + 0*d + 0*d**3 + 0. Determine i(5). 5 Suppose 5*i + 1 + 14 = 0. Let x(j) = 4*j. Let n(p) = 9*p. Let t(a) = i*n(a) + 7*x(a). What is t(3)? 3 Let i(t) = t + 3. Let y be 0 + 9 + (-3)/1. Suppose 0 = -0*z - z - y. Calculate i(z). -3 Suppose -8*j + 3*j = 0. Suppose 0*r - 2*r + 8 = j. Let w(s) = -s**3 + 5*s**2 - 5*s + 2. What is w(r)? -2 Let j(r) = -r**2 + 5*r - 4. Suppose 0 = 2*n - v - 15, 3*n - 2*v + 6*v + 5 = 0. Let h be 6/9 + (-2)/3. Let z = n - h. Give j(z). -4 Let n(r) = r**3 - 14*r**2 - r + 12. Let a be n(14). Let p(i) = 5*i + 1. Give p(a). -9 Let z(i) = i + 1. Suppose 3*o = -5*a - 2 + 20, 4*o + 10 = -a. Let n = -2 + a. Give z(n). 5 Let b(t) = -11 + 11 + 2*t - t. Determine b(3). 3 Let k be (42/(-8))/3*4. Let y = k + 11. Suppose 5*p = y*l - 5*l + 21, -5*l + 5 = 5*p. Let t(n) = -n - 3. Give t(l). 1 Let g(z) be the second derivative of z**3/6 - z**2/2 + 61*z. Give g(-8). -9 Let c(i) = i**2 + 4*i - 1. Let k be c(-5). Let q(b) = -b - 7. Let v be q(-9). Let y(t) = -v + t - t + t. Give y(k). 2 Let j(x) = -3*x + 4. Let q be j(-5). Let z = q - 15. Let c(f) = 3*f - 4. Determine c(z). 8 Let c(r) = -r**3 - 2*r**2 + 3*r + 1. Let s(f) = f**2 - 12*f - 8. Let u be s(13). Suppose -u*z + 11 = 31, -g + 2*z + 5 = 0. Determine c(g). 1 Let h(i) = 5*i - i + 0*i - 2*i - 13 + 18. Let o = 5 + -10. What is h(o)? -5 Let m(c) = 7 - 3 + 0*c**2 + c**3 + c**2 - c. Let b = -1 - -3. Suppose -3*y - 6 - 6 = 4*l, 5*l - b*y - 8 = 0. Calculate m(l). 4 Let r(y) be the second derivative of 0 - 1/12*y**4 + y**3 - 7/2*y**2 - 2*y. What is r(5)? -2 Let h(q) be the second derivative of q**5/2 + q**4/12 + 15*q. Calculate h(-1). -9 Let x(d) be the third derivative of d**6/120 - d**5/20 - d**4/6 - 2*d**3/3 + 3*d**2. Let w = 9 + -5. What is x(w)? -4 Let k = 125 - 132. Let j(h) = h + 2. Determine j(k). -5 Let r(o) = 6*o**2 - o. Let a(w) = w**3 - 4 - 5*w + 5*w**2 + 0*w + 4*w. Let z be a(-5). Calculate r(z). 5 Suppose 2*o - 4*p + 4 = -0, -o = -5*p + 5. Suppose 0*w + 3*w = o. Let c(r) be the first derivative of r**3/3 + 5*r - 1. Calculate c(w). 5 Let b(n) = -n**2 - 9*n + 12. Let m(i) = 4*i**2 + 27*i - 37. Let a(f) = 7*b(f) + 2*m(f). What is a(8)? 2 Suppose 5*m + f = 16, 5*m - 3*f = -0 + 12. Suppose -3 - m = p. Let o(i) = -i**3 - 5*i**2 + 6*i + 8. Calculate o(p). 8 Let o(u) = u. Let v = -24 - -14. Let r be (3 - 10/4)*v. Let c be r - (-4 - (-2)/2). Determine o(c). -2 Let m = -5 + 10. Let i = m + -4. Let l(r) = 7*r**2 - 2*r + 1. What is l(i)? 6 Let r(m) = -m - 4. Let d(s) = s**3 + 9*s**2 - 11*s - 4. Let u be d(-10). Suppose 0 = a + a - u. Suppose 20 = -2*z - a*z. Determine r(z). 0 Let q = -7 - -11. Let w(k) = -q*k + 3*k - 1 + 2*k + 4. Determine w(-5). -2 Let d(a) = a + 1. Suppose 0*p - 3 = -3*p. Calculate d(p). 2 Let q(h) be the third derivative of -7/6*h**3 - 3*h**2 + 0*h - 1/12*h**5 - 1/6*h**4 + 1/120*h**6 + 0. Give q(6). 5 Let s(o) = 2*o**2 - 3*o. Let f(c) = -c**3 + 6*c**2 - 6*c + 7. Let g be f(5). Suppose -g*m - 3 = -3*m. What is s(m)? 9 Let f(u) = u**3 + 9*u**2 - 10*u - 1. Let c = -126 + 116. Give f(c). -1 Let x(h) be the first derivative of -h**4/4 - 2*h**3 + 3*h**2 - 2*h + 2. Give x(-7). 5 Let d(s) = 7*s + 7 + 1 - 9. What is d(-2)? -15 Let h = -164 + 164. Let s(c) = -c**2 - c - 11. Give s(h). -11 Let w(a) = -a**3 - 5*a**2 - 3*a + 4. Let r = 2 - -4. Suppose -r*y + 2*y = 12. Determine w(y). -5 Let i(k) = 20*k - 16*k - 10*k - k**2. Determine i(-5). 5 Let a = 66 + -62. Let i(x) = x - 3. What is i(a)? 1 Let m(y) = -y**2 - y + 3. Let c be m(-3). Let s = c + 1. Let d(h) = -h**3 + h**2 + 4*h + 3. Determine d(s). 7 Let b be (0 + 4)/(0 - 1). Let f = b + 4. Let i(m) = -2*m - 5*m + f*m. Give i(1). -7 Let o(y) be the first derivative of 0*y**2 + 1/20*y**5 + 1/12*y**4 + 0*y**3 + 1 - 2*y. Let p(g) be the first derivative of o(g). Determine p(0). 0 Let o(w) = 2*w - 11 + 17 - w. Let h(j) = -j - 1. Let v be 2/(-10) - 21/(-5). Let u be h(v). Determine o(u). 1 Suppose a + 2 = 4. Suppose -3*m = -a*m. Let o(k) be the third derivative of k**4/24 + k**3 - 4*k**2. Calculate o(m). 6 Let v(s) = -2*s**3 - 4*s**2 + 2*s + 3. Let b be (123/(-39) - -3) + 37/(-13). Give v(b). 15 Let t(z) = z**2 - z - 1. Let b = -3 + 4. Let a(u) = -6*u**2 + 2*u + 2. Let o(q) = b*t(q) + a(q). Give o(-1). -5 Let g be (4/10)/(2/(-20)). Let s(o) = 4*o + 6. Calculate s(g). -10 Let z(u) = u**3 + 8*u**2 + 6*u. Suppose -6*v - 42 = -0*v. What is z(v)? 7 Suppose 3*p - 2*z + 2 = 0, 2*z - 1 = -11. Let k(l) = -14 - 5*l**2 + 2*l**2 + 3*l - l**3 + 13 + 2. Give k(p). 5 Let k be (42/98)/((-2)/(-14)). Let p(j) = -j - 4. Determine p(k). -7 Suppose -2*o + 125 = 131. Let s(i) = -i**2 - 2*i + 3. Give s(o). 0 Let z(d) = d + 4. Let x(v) = 2*v - 11. Let p be x(6). Let l be (1 - 4)*3 + p. Calculate z(l). -4 Suppose 5*s - 4*f - 3 = 30, 0 = -3*f + 9. Let l(o) = o**3 - 10*o**2 + 9*o - 3. Calculate l(s). -3 Let g(r) = -r**2 - 2*r - 4. Let t be (-6)/(-4)*(1 + -3). Calculate g(t). -7 Suppose -5*o = 24 + 1. Suppose 3*l - n - 22 = -0*l, 0 = 5*n + 20. Let k(i) = 0 + 1 - l - 2*i. Calculate k(o). 5 Let u = -9 + 22. Suppose 4*h + u - 1 = 4*r, -3*r + 1 = -h. Let k(z) = 8*z + 1. What is k(r)? -7 Let w(t) = 5*t + 2*t**2 - t**3 - 2*t**2 - 5*t**2 + 1. Let v(k) = 2*k**3 + 2*k**2 - 2*k - 2. Let n be v(-2). What is w(n)? 7 Let j(d) = d + 8. Let y be 12/(-8)*8/6. Let z(x) = 6*x + 40. Let c(s
{ "pile_set_name": "DM Mathematics" }
-1*m/(-30)). What is the greatest common factor of 15 and o? 15 Let f(r) = -r**2 + 14*r - 1. Let w(h) = -2*h**2 + 27*h - 2. Let s(b) = -11*f(b) + 6*w(b). Let q be s(5). Calculate the highest common divisor of 112 and q. 14 Let c(l) = -l**3 + 27*l**2 - 27*l + 60. Let b be c(26). What is the greatest common divisor of b and 289? 17 Let p(z) = 5*z + 1 - 18 + 4 + 5. Let h be p(5). Let v(o) = 9*o - 4. Let s be v(8). What is the greatest common factor of s and h? 17 Let y(m) = -25*m - 37. Let r be y(-4). Suppose 0 = r*i - 65*i + 28. Calculate the highest common divisor of i and 2. 2 Let l = -268 - -283. What is the greatest common divisor of 2085 and l? 15 Let z = 363 - 347. What is the highest common divisor of 104 and z? 8 Suppose 118*k + 200 = 128*k. Calculate the greatest common factor of 1940 and k. 20 Let s(f) = 12*f**2 - 19*f + 39. Let k be s(-11). Calculate the highest common factor of k and 50. 50 Let q = -22 - -18. Let b be ((-3)/(15/(-20)))/(q/(-3)). What is the greatest common factor of 27 and b? 3 Suppose 5*n = 3*g - 244 - 1524, -4*n = -3*g + 1763. Calculate the greatest common factor of 14 and g. 7 Suppose 54 = 5*r + 24. What is the highest common factor of 36 and r? 6 Let s be (-4)/(-22) + 79*3/(-33). Let v = s - -19. What is the greatest common divisor of v and 60? 12 Let i be (294/4)/((-3)/(-20)). Suppose -5*u - 5*a = -490, -6*u + u - 4*a = -i. Let w be (-4)/(-6) + u/6. Calculate the highest common divisor of 136 and w. 17 Let z(x) = x**2 + 2*x + 430. Let y be z(0). What is the greatest common divisor of y and 172? 86 Suppose -2*u + 0*j = -3*j - 12, 0 = -j. Let t(p) = -3*p - 3. Let x be t(-2). What is the greatest common divisor of x and u? 3 Suppose -490 - 602 = -3*y. What is the highest common factor of y and 14? 14 Suppose 4*a - 2 - 6 = 0. Let k(l) = 2*l - 2. Let w be k(a). Suppose 0 = -3*m + w*m + 16. Calculate the highest common divisor of 32 and m. 16 Let g(v) = 7*v**2 - 16*v + 40. Let s be g(8). What is the greatest common divisor of 200 and s? 40 Suppose -95*h - 2100 = -99*h. Calculate the highest common divisor of h and 125. 25 Let c(s) = 72*s + 213. Let q be c(14). Calculate the greatest common divisor of 33 and q. 33 Let i(k) = 3*k - 11. Let h be i(-12). Let q = -28 - h. What is the greatest common factor of 19 and q? 19 Suppose 0 = 2*b - 5*b + 12, 0 = c + 4*b + 96. Let t = -98 - c. Let s = 27 - -29. Calculate the greatest common divisor of s and t. 14 Let t = 12 + -9. Let u be 3*(t/(-9) + 2). Suppose -2*r - 118 = -u*a, 4*r - 50 = -0*a - 3*a. Calculate the greatest common factor of a and 198. 22 Let y = -125 + 421. What is the highest common divisor of y and 111? 37 Suppose -15*b - 150 = -3375. Calculate the greatest common divisor of 10 and b. 5 Let s = -109 + 155. Suppose -m = u - s, 2*m = -5*u - 0*m + 224. Calculate the highest common factor of u and 11. 11 Let l(b) = 2*b**2 - 8*b + 8. Let n be l(6). Let p = 60 - n. Suppose -47 = 5*k - 117. Calculate the highest common divisor of p and k. 14 Suppose -4*w + 6 = 2*h, 9*h - 5*w = 4*h. Suppose h = 4*v - 11. Suppose -27 = -3*x + v. Calculate the greatest common factor of 10 and x. 10 Suppose 0 = -4*c + 20, 332 = l - 4*c + 25. Let b = 758 - l. Suppose -4*y + b = -3*x, -3*y = 4*x + 83 - 375. What is the greatest common factor of y and 13? 13 Let q be ((-8)/(-3))/(12/18). Let f(p) = -p - 4*p**2 + 5*p + 21*p**2 - 9*p**2. Let k be f(q). Calculate the greatest common factor of k and 16. 16 Suppose m = -m + 4*l - 16, -5*l = -3*m - 21. Let p be 5/m*42/(-5). What is the greatest common divisor of 63 and p? 21 Let h = -75 + 133. Let v = 1338 - 874. Calculate the highest common factor of h and v. 58 Let h(v) be the third derivative of v**5/20 - 5*v**4/24 - 19*v**3/6 - 13*v**2. Let z be h(-6). Calculate the greatest common divisor of 17 and z. 17 Let b(u) = 3*u**3 + u**2 + 2*u - 5. Let h be b(5). Suppose z = -19*z - 0*z + 900. What is the highest common factor of z and h? 45 Let j = 1166 + -1163. What is the highest common factor of j and 237? 3 Suppose 4*v = 70 - 62. Suppose v*h - 58 = 2*j, -h + 35 = -6*j + 2*j. Let b(w) = -w**2 - 6*w - 2. Let s be b(-5). What is the greatest common divisor of s and h? 3 Let n be (-7)/((-7)/66) - -4. Calculate the highest common divisor of 175 and n. 35 Let j = 237 - 227. What is the greatest common divisor of j and 25? 5 Suppose -42*z + 3789 = -12339. Calculate the greatest common divisor of 56 and z. 8 Let n(j) = 6*j - 7. Let k be n(4). What is the greatest common divisor of k and 119? 17 Let g = 24 + -60. Let u = 46 + g. What is the highest common factor of 50 and u? 10 Let p = 2391 + -2049. Calculate the greatest common divisor of p and 570. 114 Suppose 0 = -4*y + n - 2*n + 92, 4*y - 3*n = 108. What is the greatest common factor of 32 and y? 8 Suppose -7*i - 2*i = -27. Let c be 50 + (-2)/((i/6)/(-1)). Calculate the highest common divisor of c and 6. 6 Suppose -15*g = -12*g - 6. Let n be 10/5*15/g. What is the greatest common factor of 6 and n? 3 Let k be (-1295)/(-4) + (-29)/(-116). Calculate the greatest common divisor of 36 and k. 36 Suppose 0 = -2*r + 2*k - 4 + 2, 3*k = -9. Let i be r/(-1)*20/(-16). Let x = i - -6. What is the highest common factor of x and 2? 1 Let h be (3/5)/(1 - (-152)/(-160)). What is the greatest common divisor of h and 116? 4 Let x(a) = 3*a**2 - 21*a + 165. Let q be x(6). Calculate the highest common factor of 98 and q. 49 Let x = -326 - -476. Calculate the greatest common divisor of 525 and x. 75 Let y(l) = l**2 + 12. Let t be y(0). Let c(s) = -s + 14*s**2 + 1 + 0*s - 14*s**2 + 84*s**3. Let d be c(1). What is the greatest common factor of d and t? 12 Suppose -5*s - 2*l + 67 = 2*l, -39 = -3*s - 3*l. Let q be (-2)/11 + 994/22. Calculate the greatest common divisor of q and s. 15 Suppose -8*w + 2 = -6*w. Let q(c) = -8*c + 263. Let u be q(32). What is the highest common factor of w and u? 1 Let d be 7 + -3 - -2 - -46. Calculate the greatest common divisor of 13 and d. 13 Let h be 6/((243/6)/(-9))*-42. Suppose -5*p + 39 = 5*x - 11, 3*x = 2*p - 40. What is the highest common factor of p and h? 14 Let c be (-26)/39*(1 + -13). What is the highest common factor of 88 and c? 8 Suppose -5*p + 1472 - 422 = 0. Let w(g) = 81*g - 213. Let o be w(3). Calculate the greatest common factor of o and p. 30 Let v(h) = 29*h - 1. Let f be v(-1). Let r be (22 - 2)*f/25. Let u = -6 - r. Calculate the highest common divisor of 90 and u. 18 Let g(u) be the first derivative of 24*u**2 - 8*u + 11. Let n be g(4). Calculate the highest common factor of n and 46. 46 Suppose -2*f - b = -159, -f + 0 = -3*b - 62. What is the greatest common divisor of 1001 and f? 77 Suppose -21 = -3*d - 18. Let z be -1*((d - 16) + (5 - 3)). What is the highest common factor of 65 and z? 13 Let z be (-92)/161*854/(-4). What is the greatest common divisor of z and 2? 2 Let d = 2 - 1. Let q be (-5)/(-1)*(-7 + (-380)/(-50)). Calculate the greatest common factor of d and q. 1 Suppose 0 = 7*k - 337 - 2575. Calculate the highest common divisor of k and 64. 32 Let i = 34 + -31. Suppose -10*u + 399 = -i*u. What is the highest common divisor of 19 and u? 19 Let j be 22 - (-2 - -2)/(-2). Suppose 2*k = -4*k + 798. Suppose -u + 2*y + k + 51 = 0, u - y - 180 = 0. Calculate the highest common divisor of u and j. 22 Suppose -3*g = -2*p + 20, -4*p + 60 = -2*g + g. Calculate the greatest common factor of p and 1264. 16 Let x be (6 - 7410/(-25))*5. Calculate the greatest common factor of x and 14. 14 Let g be (-6)/(48/(-10))*4. Suppose -f + g + 1 = 0. Suppose f*q - q - 25 = 0, 0 = 3*w + 3*q - 42. What is the greatest common divisor of w and 6? 3 Suppose -5*v + 472 - 40 = -3*a, 3*v = -4*a + 265. What is the highest common divisor of 319 and v? 29 Suppose -11*a + 9*a = -4*p + 252, -4*p + 250 = -3*a. Calculate the greatest common divisor of p and 208. 16 Let m(y) = y**3 + y**2 + 2*y + 126. Let d be m(0). Suppose 84 = 5*r + 3*o, -2*r = 2*r - 4*o - 80. What is the greatest common factor of d and r? 18 Let m(v) = -v + 11. Let s be m(8). Suppose -3*i + 6 = 0, s*t - 278 = -0*t - i. What is the highest common factor of 46 and t? 46 Let t = 1 + 2. Suppose -4*b = 99 + 65. Let d = b - -68. What is the greatest common factor of d and t? 3 Let b be 2/3*33 - 4. Suppose -b*t - 20 = -20*t. What is the g
{ "pile_set_name": "DM Mathematics" }
ve of d**3/3 - 5*d. What is z(c(p))? 52*p Let f(v) = -2*v. Let a(i) = 8*i**2 - 7*i. Let s(l) = -7*l**2 + 6*l. Let o(n) = -6*a(n) - 7*s(n). What is f(o(k))? -2*k**2 Let c(z) = 13*z**2. Let r(w) = -10*w**2 - 7*w. Let s(b) = 7*b**2 + 5*b. Let q(h) = -5*r(h) - 7*s(h). Give q(c(m)). 169*m**4 Let r(f) = -f**2. Let h(w) = 234*w**2. Give h(r(n)). 234*n**4 Let i(l) = -l**2. Suppose 10 = 5*w - 5. Let r(b) be the second derivative of -4*b + 1/6*b**w + 0 + 0*b**2. Give i(r(m)). -m**2 Let y(p) be the second derivative of -p**3/3 + p. Let v(a) = -4*a - 2*a + 3*a. Calculate y(v(b)). 6*b Let h(g) = 6*g**2. Let z(l) = -2*l**2 - 674. Determine h(z(f)). 24*f**4 + 16176*f**2 + 2725656 Let b(w) = 2*w. Let x be 8 + 4/(4/(-3)). Let g(a) = -1 + x + 2*a**2 - 4. Determine b(g(m)). 4*m**2 Let r(v) = -600 - 11*v + 600. Let j(d) be the second derivative of -d**4/6 + d. Determine j(r(x)). -242*x**2 Let w be (-6)/(-10) - 114/(-10). Let b(j) = -12 + 3*j + 0*j + w. Let k(r) = -r. What is k(b(q))? -3*q Let s(d) = -6*d + d + 4*d + 3*d. Let j(y) = y. Let o(f) = 7*f**2 - 42*f. Let g(t) = -42*j(t) - o(t). Calculate s(g(m)). -14*m**2 Let v(i) = 15*i + i - 9*i - 6*i. Let s(p) be the first derivative of -4*p**3/3 + 2. Give v(s(c)). -4*c**2 Let z = -3 - -11. Let o(c) = -19 - 3*c + z + 11. Let d(s) = -s. Determine o(d(g)). 3*g Let p(r) = r**2 + 11*r + 3. Let q be p(-11). Let t(a) = q*a + 2*a - 4*a. Let w(y) = 2*y**2. What is t(w(c))? 2*c**2 Let h(f) = f. Suppose -i + 2 = -0*i. Let b(q) = 5*q**2 - 2*q**2 + 4*q**i - 3*q**2. Determine b(h(a)). 4*a**2 Let i(w) = w. Let g be -3 + 12/2 - -3. Let m(u) = -g*u**2 + u**2 - 2*u**2. What is i(m(h))? -7*h**2 Let l(o) = 3*o + 19 - 43 + 24. Let s(x) = 2*x + 10 - 10. Give s(l(y)). 6*y Let p(o) be the second derivative of o**4/12 - o**2 + o. Let a(k) be the first derivative of p(k). Let l(t) = 3*t**2 + 3*t**2 - t**2. Determine l(a(h)). 20*h**2 Let p(q) = 6*q. Let u(n) = 298*n. What is p(u(d))? 1788*d Let z(i) = -2 + 2*i**2 + 2. Let k(q) = 6*q + 2*q - 9*q. Calculate k(z(a)). -2*a**2 Let d(i) = 3*i. Let l(j) = -127*j**2. Calculate d(l(h)). -381*h**2 Let q(s) = -3*s**2. Let v(a) = 2*a. Let r(n) = -2*n + 2*n - n. Let z(w) = -5*r(w) - 2*v(w). Calculate z(q(c)). -3*c**2 Let v(d) be the first derivative of d**2 - 1. Let b(n) be the first derivative of -n**2 + 1. Determine b(v(c)). -4*c Let p(i) = 3*i**2 + 4*i**2 - 6*i**2. Let v(j) = 10*j. Calculate p(v(q)). 100*q**2 Let w(y) = 4*y. Let z = 11 + -16. Let s(c) = 6*c. Let f(o) = z*s(o) + 7*w(o). Let h(q) = q - 3*q + 4*q. Calculate h(f(v)). -4*v Let t(c) be the third derivative of -c**4/24 + 19*c**2. Let k(m) = -43*m. Determine t(k(q)). 43*q Let h(k) = 6*k. Let u(t) = -5*t. Let c(q) = -6*h(q) - 7*u(q). Let n(l) = -11*l**2. Calculate n(c(g)). -11*g**2 Let x(v) = 16*v**2. Let f(p) = 16*p**2 + 11. Let l(m) = -3*m**2 - 2. Let q(c) = -2*f(c) - 11*l(c). Calculate x(q(n)). 16*n**4 Let h(n) = 6*n**2. Let b(w) = 0*w**2 + 2*w**2 + 3*w**2 - 6*w**2. Calculate b(h(r)). -36*r**4 Let y(x) be the second derivative of 5*x**4/12 - 3*x. Let a(t) = -5*t. Give a(y(f)). -25*f**2 Let g(b) = -b**2 - 4*b - 2. Let y be g(-3). Let x(p) = p - 3. Let j(s) = -s - 1. Let h(d) = y*x(d) - 3*j(d). Let a(z) = z. What is h(a(i))? 4*i Let j(v) be the first derivative of -4 + 1/3*v**3 + 0*v + 0*v**2. Let w(c) = 5*c**2. Give j(w(s)). 25*s**4 Let j(p) = 560*p - 98. Let y(g) = -17*g + 3. Let i(s) = 3*j(s) + 98*y(s). Let n(k) = 5*k. Let b(a) = -6*i(a) + 17*n(a). Let o(u) = 4*u. What is b(o(f))? 4*f Let m(r) = -r + 2. Let t(n) = 1. Let o(x) = -m(x) + 2*t(x). Let a(h) be the first derivative of -h**3/3 + 1. Give a(o(u)). -u**2 Let h(a) = -a - 6. Let u be h(-6). Let v(n) = u*n - 4*n + n. Let m(l) = -l**2. Give m(v(y)). -9*y**2 Let l(b) = -2*b. Let o(g) = 1299*g. Determine l(o(d)). -2598*d Let f(a) = -2*a**2. Suppose -4*w = 10 - 30. Let r(y) = 77*y**2 - 28*y. Let o(u) = 14*u**2 - 5*u. Let l(d) = w*r(d) - 28*o(d). Give f(l(s)). -98*s**4 Let x(c) be the third derivative of c**4/12 + 4*c**2. Let y(u) = 6*u. What is x(y(s))? 12*s Let l(w) = w + 5. Let o(p) = -p - 4. Suppose -4*y - 7 + 27 = 0. Let v(r) = y*o(r) + 4*l(r). Let m(c) be the first derivative of c**2 - 2. What is v(m(b))? -2*b Let o(z) = -z**2 + 7*z**2 - z**2. Let d(q) = -q**2. Let k(h) = 5*h**2. Let y(b) = 6*d(b) + k(b). Give o(y(l)). 5*l**4 Let a(q) = -q. Let f = 19 + -3. Let v(g) = -f*g**2 + 10*g**2 + 8*g**2. Determine v(a(j)). 2*j**2 Let w(h) = -2*h**2. Let b(k) = 4*k - 5. What is w(b(f))? -32*f**2 + 80*f - 50 Let m(g) = -7*g + 16*g - 7*g. Let y(v) = -20*v - 17. Let w(q) = 7*q + 6. Let t(c) = -17*w(c) - 6*y(c). Calculate t(m(k)). 2*k Let a(h) = h**2. Let r(v) be the third derivative of -2*v**5/15 + 12*v**2. Determine a(r(w)). 64*w**4 Let x(z) = -z**2 - 3*z. Let s(c) = c. Let m(d) = -3*s(d) - x(d). Let y(n) = -4 - 2 - 2*n + 6. What is y(m(a))? -2*a**2 Let a(j) = -10*j + 5. Let s(h) = -17*h + 5. Let z(u) = 18*u - 4. Let k(r) = -3*s(r) - 2*z(r). Let l(m) = -7*a(m) - 5*k(m). Let c(f) = 3*f. What is l(c(n))? -15*n Let a(r) = -r**2. Let h(b) = 89*b**2 + b - 12. Give h(a(y)). 89*y**4 - y**2 - 12 Let q(o) = 2*o**2 + 24*o. Let i(k) = -9*k**2. What is q(i(n))? 162*n**4 - 216*n**2 Let o(h) be the second derivative of 0*h**3 + 0 + 1/3*h**4 + 0*h**2 - 3*h. Let f(r) = -r**2. Give f(o(l)). -16*l**4 Suppose -8*z = 5*n - 3*z - 25, n + 25 = 5*z. Let y(b) be the third derivative of n*b**3 + 0*b**4 + 1/30*b**5 + 0 + 0*b - 3*b**2. Let a(d) = -d. Give y(a(w)). 2*w**2 Let k(i) = -4*i**2. Let v(q) = -q**2 + 230. Calculate k(v(d)). -4*d**4 + 1840*d**2 - 211600 Let y(r) be the first derivative of 0*r + 0*r**2 - 4/3*r**3 - 3. Let v(m) = -m**2. Give v(y(i)). -16*i**4 Let t(g) = 3*g + 26. Let v(y) = -2*y**2. What is v(t(z))? -18*z**2 - 312*z - 1352 Let w(p) = 14*p + 4. Let o(l) = -26*l. Calculate o(w(k)). -364*k - 104 Let f(n) = 2*n. Let d(o) = 680*o**2. Determine f(d(q)). 1360*q**2 Let u(a) = -3*a + 0*a + 5*a - 4*a. Let k(p) be the second derivative of 0*p**2 - 1/6*p**4 + 0 - 2*p + 0*p**3. Give u(k(g)). 4*g**2 Let j(o) = o - o - 5*o. Let w(c) = c. Let g(z) = -j(z) - 2*w(z). Let a(r) = 6*r - r**2 + 10*r - 16*r. Determine g(a(t)). -3*t**2 Let p(q) = q + 2*q + 3*q - 4*q. Let o(x) = 2*x + 3 - 3. Let c(t) = -2*t. Let k(r) = -2*c(r) - 3*o(r). What is p(k(u))? -4*u Let h(f) = -6*f - 1. Let v(k) = -2*k. Calculate h(v(s)). 12*s - 1 Let v(j) = -3*j**2 + 135. Let d(t) = t**2. Give v(d(z)). -3*z**4 + 135 Let d(q) = 9166*q. Let z(y) = -2*y**2. Give d(z(p)). -18332*p**2 Let y(b) = -4*b + 10*b + 0*b + 7*b. Let c(s) = -8*s. Determine y(c(f)). -104*f Let z(o) = 2*o**2 - 3646. Let c(g) = -2*g. Calculate z(c(t)). 8*t**2 - 3646 Let t(k) = -2*k. Let o = 3 + 0. Suppose p = 2*p - o. Let x(c) = c + 3 - p. Give x(t(h)). -2*h Let y(o) = -2*o. Let u(z) = 5*z**2 + 399*z. Give y(u(k)). -10*k**2 - 798*k Let u(c) be the second derivative of c**3/3 + 5*c. Let n(b) = b - 7. Let w(s) = s - 4. Let h(x) = -4*n(x) + 7*w(x). Determine h(u(g)). 6*g Let k(b) = -176*b**2. Let r(o) = -14*o. Calculate r(k(j)). 2464*j**2 Let f be (-65)/(-105) - (-4)/(-14). Let s(n) be the second derivative of 0 - n + 0*n**2 + f*n**3. Let u(i) = -3*i. What is u(s(w))? -6*w Let a(o) = -2*o. Let s(z) = 2894*z**2 + 2*z. Calculate s(a(n)). 11576*n**2 - 4*n Let k(y) = 12*y**2. Let u(f) = -2*f**2. What is k(u(i))? 48*i**4 Let z(i) = -3521*i**2. Let b(p) = -6*p. Determine b(z(a)). 21126*a**2 Let o(n) = 125*n**2. Let w(s) = 4*s. Determine w(o(p)). 500*p**2 Let o(w) = -w**3 - w**2 + 5*w + 4. Let f be o(-3). Let a = -5 + f. Let g(i) = -2*i**2 - 3*i**2 + 3*i**a. Let n(j) = -2*j**2. Calculate n(g(l)). -8*l**4 Let b(w) = 237*w**2. Let x(y) = 3*y. Calculate x(b(v)). 711*v**2 Let a(u) be the first derivative of 3*u**2 + 5. Let g(w) = -3*w. Give a(g(y)). -18*y Let m(p) be the first derivative of p**2/2 + 5. Suppose 2*i + 2*u = 6, 0*i + 4*i - 3*u = 12. Let z(b) = 4*b - i*b + b. Calculate m(z(q)). 2*q Let k(d) = -5*d. Let o(m) = -2*m**2 + m**2 - m**2. Calculate o(k(j)). -50*j**2 Let t(r) = -3*r**2 + 7*r**2 + r**2 + r**2. Suppose 3*s + 3 = 2*y - 0*s, 5*y + s = 33. Let q(l) = -y + 6 - 2*l. Give q(t(h)). -12*h**2 Let c(f) = -16*f**2 - 5*f - 5. Let g(z) = 88*z**2 + 28*z + 28. Let x(l) = 28*c(l) + 5*g(l). Let b(v) = -v**2. Give x(b(d)). -8*d**4 Let u(g) = 2*g**2. Let c(k) = 332*k. Give c(u(w)). 664*w**2
{ "pile_set_name": "DM Mathematics" }
hat is prob of sequence ee? 1/19 Calculate prob of sequence mzw when three letters picked without replacement from {j: 1, m: 8, z: 6, w: 1}. 1/70 What is prob of sequence yyha when four letters picked without replacement from {y: 5, a: 2, u: 3, h: 3}? 1/143 Four letters picked without replacement from ttttttthhtth. Give prob of sequence thhh. 1/220 Two letters picked without replacement from {t: 4, r: 2, s: 1, b: 2}. Give prob of sequence rs. 1/36 Four letters picked without replacement from {m: 3, p: 1, w: 3}. Give prob of sequence wmpm. 3/140 What is prob of sequence reg when three letters picked without replacement from {s: 4, g: 1, a: 3, e: 1, r: 2}? 1/495 Two letters picked without replacement from {z: 3, p: 1, q: 2, y: 4, m: 1}. Give prob of sequence zm. 3/110 What is prob of sequence qcl when three letters picked without replacement from cqnnnncnnlnnnnnq? 1/840 Four letters picked without replacement from eddeddeddd. Give prob of sequence ddee. 1/20 Three letters picked without replacement from zzuuddzdmmczumcm. What is prob of sequence cdz? 1/140 Calculate prob of sequence yld when three letters picked without replacement from {y: 2, d: 1, p: 2, l: 8, h: 5}. 1/306 Calculate prob of sequence ckc when three letters picked without replacement from ycxywkccxc. 1/60 Four letters picked without replacement from wanwpdneweddedp. What is prob of sequence dwpa? 1/1365 What is prob of sequence qne when three letters picked without replacement from {e: 4, q: 2, n: 7}? 14/429 What is prob of sequence gip when three letters picked without replacement from {t: 5, g: 3, d: 1, e: 1, i: 2, p: 1}? 1/286 Calculate prob of sequence se when two letters picked without replacement from svefssfvfvssvvsfvf. 1/51 Four letters picked without replacement from {u: 7, v: 7}. Give prob of sequence uvuu. 35/572 Calculate prob of sequence bd when two letters picked without replacement from bbbdbbbbbbbbbbb. 1/15 Calculate prob of sequence xxt when three letters picked without replacement from {t: 6, a: 7, x: 6}. 10/323 What is prob of sequence ftt when three letters picked without replacement from tftf? 1/6 Two letters picked without replacement from {d: 7, m: 1, g: 1, f: 3, r: 2, x: 4}. Give prob of sequence mf. 1/102 Calculate prob of sequence gww when three letters picked without replacement from {w: 2, i: 2, g: 5, r: 7, e: 2}. 5/2448 Calculate prob of sequence bsbb when four letters picked without replacement from {b: 8, s: 3}. 7/55 Two letters picked without replacement from sasaausu. What is prob of sequence ua? 3/28 Four letters picked without replacement from mmmmm. What is prob of sequence mmmm? 1 Three letters picked without replacement from {g: 4, r: 10, x: 5}. Give prob of sequence rrg. 20/323 Three letters picked without replacement from {p: 3, b: 12, k: 1, r: 2, l: 2}. What is prob of sequence rkr? 1/3420 Three letters picked without replacement from {g: 5}. Give prob of sequence ggg. 1 Calculate prob of sequence nbpg when four letters picked without replacement from {c: 1, g: 3, n: 1, p: 2, h: 3, b: 1}. 1/1320 What is prob of sequence jy when two letters picked without replacement from jyr? 1/6 Three letters picked without replacement from yyyiiyyyyyyiiyyyyyy. What is prob of sequence yyy? 455/969 Calculate prob of sequence ez when two letters picked without replacement from {q: 6, z: 7, e: 1}. 1/26 What is prob of sequence do when two letters picked without replacement from zzmzmzzdmvzdomo? 2/105 Two letters picked without replacement from fsfdp. What is prob of sequence df? 1/10 Calculate prob of sequence xtt when three letters picked without replacement from kxtnxttotxtx. 2/33 Two letters picked without replacement from {i: 1, v: 2}. What is prob of sequence vi? 1/3 Calculate prob of sequence bl when two letters picked without replacement from {t: 1, g: 1, l: 8, b: 2, s: 5}. 1/17 Two letters picked without replacement from okkknbknnnnoobnnkkbk. What is prob of sequence oo? 3/190 Three letters picked without replacement from {h: 1, c: 10, q: 4, r: 3}. What is prob of sequence hrr? 1/816 What is prob of sequence ag when two letters picked without replacement from gggaaaa? 2/7 Two letters picked without replacement from {s: 2, g: 9, n: 6, v: 1, h: 1}. What is prob of sequence vn? 1/57 Calculate prob of sequence vvv when three letters picked without replacement from {c: 2, v: 4, z: 4}. 1/30 Two letters picked without replacement from dddddeddde. What is prob of sequence dd? 28/45 What is prob of sequence rr when two letters picked without replacement from ohrr? 1/6 Four letters picked without replacement from {o: 4, b: 1, l: 6, m: 1, e: 2, p: 1}. What is prob of sequence omeo? 1/1365 Three letters picked without replacement from {a: 1, o: 3}. What is prob of sequence ooo? 1/4 Two letters picked without replacement from eejeeeejeee. Give prob of sequence je. 9/55 What is prob of sequence cg when two letters picked without replacement from {g: 1, c: 2, m: 4}? 1/21 Three letters picked without replacement from {s: 6, z: 4, g: 1}. Give prob of sequence zsg. 4/165 Three letters picked without replacement from ttegtqa. Give prob of sequence aqe. 1/210 Three letters picked without replacement from {g: 6, m: 4, f: 3, i: 2, u: 2, a: 1}. Give prob of sequence gmm. 1/68 Four letters picked without replacement from eqqeq. What is prob of sequence qeqq? 1/10 Two letters picked without replacement from {g: 3, l: 6, f: 3, p: 6}. Give prob of sequence gp. 1/17 Calculate prob of sequence ve when two letters picked without replacement from {s: 1, x: 1, z: 3, v: 3, e: 3}. 9/110 What is prob of sequence epdb when four letters picked without replacement from pdpedeeldebjljeeppjj? 1/1615 Three letters picked without replacement from vvvvvvvmvmmvvvvvvv. What is prob of sequence mvm? 5/272 Two letters picked without replacement from hpyzney. What is prob of sequence zh? 1/42 Two letters picked without replacement from {i: 2, a: 2, e: 6, j: 3, b: 2, s: 3}. Give prob of sequence ij. 1/51 Two letters picked without replacement from {b: 7, f: 2}. Give prob of sequence ff. 1/36 Calculate prob of sequence dd when two letters picked without replacement from fdodotooovvoddovdvv. 10/171 Calculate prob of sequence zn when two letters picked without replacement from nmoomwzooo. 1/90 What is prob of sequence ff when two letters picked without replacement from {f: 7, x: 6, o: 4}? 21/136 Two letters picked without replacement from {r: 1, y: 1, x: 2, g: 1, n: 1, v: 1}. What is prob of sequence ng? 1/42 Calculate prob of sequence yox when three letters picked without replacement from {o: 2, n: 1, x: 3, t: 4, y: 1}. 1/165 Three letters picked without replacement from ttadctqadd. Give prob of sequence dca. 1/120 Calculate prob of sequence pk when two letters picked without replacement from lykcp. 1/20 What is prob of sequence uq when two letters picked without replacement from {a: 4, d: 7, q: 4, y: 1, u: 1}? 1/68 Two letters picked without replacement from {s: 7, o: 1}. Give prob of sequence ss. 3/4 Two letters picked without replacement from {b: 6, z: 1, p: 3, u: 7}. What is prob of sequence pb? 9/136 What is prob of sequence ya when two letters picked without replacement from {a: 7, y: 2, e: 3}? 7/66 Three letters picked without replacement from {d: 1, z: 7, v: 10}. What is prob of sequence zvd? 35/2448 Two letters picked without replacement from {l: 17, s: 2}. Give prob of sequence ll. 136/171 Four letters picked without replacement from xyyyyxyyxxyzxyx. What is prob of sequence yxzy? 2/195 Calculate prob of sequence vd when two letters picked without replacement from {x: 2, d: 6, a: 7, v: 1, l: 1}. 3/136 Calculate prob of sequence wl when two letters picked without replacement from {w: 1, t: 3, l: 3, p: 1, z: 2, k: 1}. 3/110 Four letters picked without replacement from zliliz. What is prob of sequence zili? 1/45 Calculate prob of sequence uu when two letters picked without replacement from {w: 16, u: 2}. 1/153 Four letters picked without replacement from xxxmjvjxxmmwxwxvm. Give prob of sequence mjmv. 1/1190 Calculate prob of sequence xppp when four letters picked without replacement from psxpppppp. 5/72 Three letters picked without replacement from {w: 4, u: 1, y: 3, a: 2, m: 1}. Give pr
{ "pile_set_name": "DM Mathematics" }
common divisor of 387729 and 259129. 643 Calculate the greatest common factor of 78 and 289741218. 78 Calculate the greatest common divisor of 3328816 and 20720. 592 What is the greatest common divisor of 503931 and 60009? 723 What is the greatest common factor of 2061162 and 171? 9 Calculate the highest common divisor of 3405460 and 492. 164 What is the greatest common divisor of 210084 and 1202981? 2501 Calculate the greatest common divisor of 248 and 713150164. 124 Calculate the greatest common factor of 89866 and 2999878. 686 Calculate the highest common divisor of 210 and 5410500. 30 Calculate the greatest common divisor of 13826542 and 92. 46 What is the highest common factor of 102990713 and 371? 371 What is the greatest common divisor of 5118135 and 60? 15 Calculate the highest common factor of 161126 and 94486. 238 Calculate the greatest common factor of 65024471 and 946. 43 What is the greatest common factor of 1304046 and 246915? 837 What is the highest common divisor of 709111226 and 454? 454 Calculate the greatest common divisor of 81490827 and 99. 33 Calculate the highest common divisor of 513408 and 357. 21 Calculate the greatest common divisor of 166483641 and 498. 249 Calculate the highest common divisor of 68556649 and 7. 7 Calculate the highest common factor of 160 and 916424. 8 Calculate the highest common factor of 825025 and 600. 25 What is the greatest common factor of 29413 and 6499? 67 What is the highest common factor of 2280 and 14695512? 456 Calculate the highest common divisor of 902 and 10933060. 82 What is the greatest common factor of 62 and 39265933? 31 Calculate the highest common factor of 737480 and 5506380. 2060 What is the greatest common divisor of 2463652 and 2862? 106 What is the greatest common factor of 161 and 5154829? 23 What is the highest common factor of 14013 and 338742? 81 Calculate the greatest common factor of 396 and 3210108. 132 What is the highest common divisor of 1205442 and 540? 54 What is the greatest common divisor of 554 and 47529322? 554 What is the highest common factor of 430440 and 70040? 680 Calculate the highest common factor of 3356884 and 108. 4 Calculate the highest common factor of 4914 and 4838106. 546 What is the greatest common factor of 3153 and 96567? 3 What is the highest common divisor of 904813 and 63485240? 14833 Calculate the greatest common factor of 148 and 233533233. 37 What is the greatest common factor of 966 and 9687554? 46 Calculate the greatest common divisor of 96 and 33647352. 24 Calculate the highest common factor of 393084 and 783423. 549 Calculate the greatest common divisor of 559770 and 52875. 705 What is the highest common factor of 2850 and 384690? 30 Calculate the greatest common divisor of 318 and 12343223. 53 Calculate the highest common factor of 39492 and 57524. 4 What is the greatest common divisor of 28260060 and 8082? 2694 What is the highest common divisor of 34494755 and 61325? 1115 Calculate the highest common factor of 1185 and 7661815. 395 Calculate the greatest common factor of 11565868 and 4062. 1354 Calculate the highest common divisor of 429 and 271401. 39 What is the greatest common divisor of 5330 and 800789860? 5330 Calculate the highest common divisor of 7284568 and 67048. 3944 Calculate the greatest common divisor of 2085 and 841530. 15 What is the highest common divisor of 270 and 108815910? 30 What is the greatest common divisor of 67901499 and 1682? 841 What is the highest common factor of 74878 and 2496794? 2582 Calculate the greatest common divisor of 40512 and 8916438. 1266 What is the highest common factor of 5895300 and 569535? 645 What is the highest common factor of 77953 and 132577? 569 What is the highest common factor of 7775 and 20829847? 311 Calculate the greatest common divisor of 1196 and 277212. 52 What is the greatest common factor of 20304 and 5765114? 94 Calculate the greatest common divisor of 18605 and 26807365. 305 What is the highest common factor of 68556 and 6141081? 591 What is the greatest common divisor of 2718 and 121212? 18 Calculate the highest common divisor of 4176 and 287448. 696 What is the greatest common divisor of 108 and 11993712? 12 Calculate the greatest common factor of 787248 and 189072. 144 What is the greatest common divisor of 219487 and 70261? 17 Calculate the greatest common factor of 44589 and 663324. 501 Calculate the greatest common divisor of 104853983 and 2158. 1079 Calculate the greatest common factor of 428859 and 37383. 51 What is the greatest common divisor of 387918252 and 2232? 1116 What is the highest common divisor of 7462451 and 287? 41 Calculate the highest common divisor of 18 and 85360698. 18 What is the highest common factor of 64804 and 1156? 68 Calculate the greatest common divisor of 1967940 and 12870. 1170 Calculate the greatest common factor of 884 and 1364415. 13 What is the highest common factor of 71 and 100997003? 71 What is the greatest common factor of 44223345 and 15? 15 What is the greatest common factor of 1124825 and 125? 25 Calculate the greatest common divisor of 8643 and 653652. 201 Calculate the greatest common divisor of 179 and 3407. 1 Calculate the highest common divisor of 7332 and 3767868. 156 Calculate the greatest common factor of 238960074 and 12. 6 Calculate the greatest common divisor of 992 and 8564339. 31 Calculate the highest common factor of 12911013 and 171. 171 What is the highest common divisor of 114788676 and 48? 12 Calculate the greatest common factor of 23843803 and 12388. 3097 What is the greatest common divisor of 64920 and 406291? 541 Calculate the highest common factor of 131106 and 1776. 6 Calculate the highest common factor of 770074 and 7138. 166 What is the highest common factor of 8563095 and 34055? 695 What is the greatest common factor of 1999 and 45531223? 1999 What is the greatest common divisor of 792946 and 35948? 418 Calculate the greatest common divisor of 96 and 252514656. 96 What is the highest common divisor of 98971275 and 498? 249 Calculate the greatest common factor of 5151 and 6969909. 303 What is the highest common factor of 3451 and 491057? 203 Calculate the highest common divisor of 2510376 and 98901. 1221 Calculate the greatest common divisor of 590955 and 60. 15 Calculate the highest common divisor of 189 and 5478201. 9 Calculate the highest common factor of 1591 and 8570459. 43 What is the highest common factor of 76066341 and 273? 39 What is the highest common factor of 1474 and 24366560? 134 What is the greatest common divisor of 93314241 and 1546? 773 Calculate the highest common divisor of 343 and 100968567. 343 Calculate the highest common divisor of 1131 and 28028442. 1131 What is the highest common divisor of 55930 and 9356760? 3290 Calculate the greatest common factor of 7727889 and 31369. 247 What is the highest common divisor of 18878597 and 5859? 31 Calculate the highest common divisor of 1213120 and 276352. 1088 Calculate the greatest common factor of 7888 and 15793516. 116 What is the highest common factor of 5992 and 2173598? 1498 Calculate the highest common factor of 202460257 and 101. 101 What is the greatest common divisor of 99406 and 2292821? 2161 What is the highest common factor of 1913086 and 14? 14 Calculate the greatest common divisor of 76992 and 58048. 64 Calculate the highest common divisor of 1899 and 26346093. 633 What is the greatest common factor of 19448 and 81889? 17 What is the greatest common divisor of 1638 and 5366088? 1638 What is the greatest common divisor of 21349750 and 47? 47 What is the greatest common divisor of 65033160 and 16898? 2414 What is the highest common factor of 346864 and 6839? 7 What is the greatest common factor of 1542928 and 128480? 1168 Calculate the highest common factor of 255265 and 4484. 19 Calculate the highest common divisor of 16323115 and 1010. 505 Calculate the highest common factor of 2160 and 24453360. 2160 What is the highest common factor of 480 and 121041030? 30 What is the highest common factor of 173830082 and 1351? 193 Calculate the highest common factor of 10555 and 1020665. 5 What is the greatest common factor of 75790 and 1069354? 286 Calculate the highest common divisor of 200388 and 972. 12 Calculate
{ "pile_set_name": "DM Mathematics" }
+ 2*y - 2*y)*(-4*y**2 + y**3 + 4*y**2)*(0 + 3 - 1). -4*y**4 Expand 6*o**4 - 5*o**4 - 4*o**4 + (1 - o - 1)*(2*o**2 - 2*o**2 + 2*o**3) + (4 - 3 - 2)*(-4*o**2 + 4*o**2 + 3*o**4). -8*o**4 Expand (12*k**2 - 19*k**2 + 16*k**2)*(5 + 0 - 3). 18*k**2 Expand -o**2 - 3 + 3 + (2*o + 2*o - 7*o)*(5*o + o - 4*o) + (2 + 1 - 2)*(-3*o**2 + 0*o**2 + 5*o**2). -5*o**2 Expand (-4*h + 5*h - 2*h)*(0*h**3 - 2*h**3 - 10*h**3). 12*h**4 Expand (3*c - 4 + 4)*(-3*c + 4 - 4) + (-2*c + 2*c - 2*c)*(3*c - 6*c + 4*c). -11*c**2 Expand -6*w**4 + 4*w**4 - w + 3*w - 2*w**3 + 2*w**3 + w**4 + (-1 + 4 - 4)*(0*w**2 - 2*w**4 + 0*w**2). w**4 + 2*w Expand (2*y - 14*y + 22*y)*(3*y**4 - 4*y**4 + 3*y**4). 20*y**5 Expand 4*d**3 - 4*d**3 - 3*d**3 + (-3*d**2 + 3*d**2 + d**2)*(-5*d + 3*d - 2*d). -7*d**3 Expand -d**4 - d**4 + 4*d**4 + (1 - 1 - 2*d)*(-d**3 + 0 + 0) - d**4 + 3*d**4 - d**4 - d**4 + 2 - 2 + 3*d**4 - 4*d**4 - 4*d**4 + 2 - 2 - 3*d**4. -4*d**4 Expand (0 - 3 + 5)*(-v**2 + 3*v**2 + 0*v**2)*(2*v + v - v)*(-3*v + 0*v + v). -16*v**4 Expand (-1 + w + 1)*(-129*w**2 + 12*w**3 + 129*w**2). 12*w**4 Expand (114*u - 114*u - 9*u**4)*(-4*u + u + u + (3*u + 0*u - 4*u)*(-4 + 2 + 1) + 5*u - 2*u - u - 2*u - 3 + 3 + 5*u - 3*u + 0*u). -9*u**5 Expand 2*g**4 - g**2 + g**2 + (2*g**2 + 1 - 1)*(5*g - 5*g + 4*g**2). 10*g**4 Expand 0*l**2 - 4*l**2 + 2*l**2 + (-1 + 1 + l)*(3*l - 5*l + 0*l) + (-4 - 3 + 5)*(-l**2 - 4*l**2 + 3*l**2) + 0*l**2 + 2*l**2 + 0*l**2. 2*l**2 Expand 107*w**4 + 80*w**4 - 51*w**4 + (-2*w**2 + 2*w**2 + 2*w**2)*(w - w + 2*w**2). 140*w**4 Expand 0*o**2 + 2*o**4 + 0*o**2 + (o**3 + o**3 + 2*o**3)*(4*o - o - 2*o). 6*o**4 Expand ((b - b + b)*(-2 - b + 2) + 5*b**2 - b**2 - 2*b**2)*(-2*b**3 - 4*b**3 + 2*b**3 + (2*b**2 - 4*b**2 + b**2)*(-b + 4*b - 6*b) + 2*b**3 - 2*b**3 - b**3). -2*b**5 Expand (0*g - 3*g + 0*g)*(-4*g + 5*g - 3*g)*(4 + 1 - 7) + 5*g**2 - 4*g**2 + 0*g**2. -11*g**2 Expand (2 - 4 + 1)*(1 + 2 + 0 - 4*h) - 2*h + 2 - 2. 2*h - 3 Expand (0*f - 5*f + 3*f)*(1 + 11 + 3). -30*f Expand -2*r**5 - 4*r**5 + 4*r**5 + (4 - 4 - 3*r)*(2*r**4 + 2*r**4 - r**4) + 0*r**5 + 5*r**5 - 3*r**5. -9*r**5 Expand (-4*d + d + 5*d)*(4*d**2 - 2*d**2 - 4*d**2) + 2*d**3 - 3*d**2 + 3*d**2 - 1 - d**3 + 1 + 38*d**3 - 25*d**3 + 38*d**3. 48*d**3 Expand (0 - 5*f + 0)*(1 + f**4 + 0*f**4 - 2). -5*f**5 + 5*f Expand (-l**2 + l**2 + 2*l**3 + (2*l - 2*l - l)*(2*l**2 - 7*l**2 + 4*l**2))*(0*l - 3*l + 5*l + (-4*l + l + l)*(0 - 2 + 1) + 11*l + 0*l - l). 42*l**4 Expand (4*n**3 - 2*n + 2*n)*(n**2 + n**2 - 3*n**2) - 3*n + 3*n + n**5. -3*n**5 Expand (0*v - 3*v + 5*v)*(-46*v + 46*v - 14*v**2)*(v + 3*v - 3*v). -28*v**4 Expand (i**2 + i**2 - i**2)*(0 + i + 0) + 24*i**3 - 57*i**2 + 58*i**2 + 2 + 0*i**3. 25*i**3 + i**2 + 2 Expand 0*w + w + w + (-w - 2*w + 5*w)*(2 - 2 - 2) - 2*w + 5*w - 5*w. -4*w Expand (-2*o**2 - 2*o**2 + o**2)*(-o**2 + 5*o**2 - 3*o**2) - 3*o**4 + 5*o**3 + o**2 - 5*o**3. -6*o**4 + o**2 Expand (-2*g**2 + 3*g**2 + 0*g**2 + g**2 - 3*g**2 + 3*g**2 + (0*g**2 - g**2 + 2*g**2)*(-2 + 5 - 2) - g**2 + 0*g**2 + 4*g**2)*(4*g - 2*g - 5*g). -18*g**3 Expand (-16 - 12 + 8)*(-4*d**4 - 2*d**5 + 4*d**4 + (2*d**4 + d**4 - 4*d**4)*(2*d - 1 + 1) - 3*d**2 - 2*d**5 + 3*d**2). 120*d**5 Expand (-10*r + 10*r - 8*r**2)*(-1 - r + 1). 8*r**3 Expand (a**4 - a**3 + a**3)*(a - 16*a - 5*a + (1 + 0 + 0)*(2*a + 0*a - a) - 2*a + 0*a + 3*a + 3*a - a - 3*a - 3*a + 0*a + a). -21*a**5 Expand (3*y**3 - 2*y**3 + y**3)*(3*y - 2 + 2)*(-4 + 4 + y). 6*y**5 Expand (f**3 - 2*f**3 - f**3)*(-25*f - 25*f + 17*f). 66*f**4 Expand 3*w**2 - w**2 - w**2 + (-3 + 3 + 2*w)*(-4*w + 4*w + w) + (w + w - w)*(2 - 1 + 0)*(-3*w + 0*w + w). w**2 Expand (0*r + 2*r - r)*(0 - 1 + 4) + r - 2*r + 3*r. 5*r Expand ((4*a + 3*a - 5*a)*(1 + 1 - 4) - 3*a + 6*a - 2*a)*(8 - 3 - 9). 12*a Expand (1 - w - 1)*(-2 - 2 + 2) - 5 + 5 + 2*w + 2*w + 2*w - 2*w - 3 + 3 - 2*w + (-5*w - 1 + 1)*(0 - 1 - 1). 14*w Expand (-20 - 3*m - 39 + 37)*(-2 + 6 - 3). -3*m - 22 Expand (-1 - 1 + 1)*(5 - 9*i - 5). 9*i Expand (-b**4 - 2*b**4 + b**4)*(b + 3*b - 3*b) - b**5 - b**5 + 3*b**5 - 4*b**3 + 3*b**5 + 10*b**3 - b**3. 2*b**5 + 5*b**3 Expand (2*h + h - h)*((1 - 2 + 3)*(-3 + 3 - h) - 4*h - 6 + 6). -12*h**2 Expand (-2*l + l + 3*l)*(25*l - 6*l - 3*l). 32*l**2 Expand -d**5 - 7*d + 7*d + 3*d**5 - 2*d**5 + d**5 + 3*d**5 - d**5 - 3*d**5 + (-2*d**2 + 2*d - 2*d)*(2*d + d**3 - 2*d). -2*d**5 Expand -2*s**2 + s**2 - s**2 + (-s - 1 + 1)*(s - s - 4*s). 2*s**2 Expand (15*t + 38*t - 8*t)*(-t**3 - t**3 + 0*t**3). -90*t**4 Expand (2*x + 4 - 5 + 2)*(-5*x + 2*x - x). -8*x**2 - 4*x Expand (-5*w + 3*w + w)*(-3 + 5 + 0) - 21*w - 4*w + 5*w. -22*w Expand (2*k**3 - 2*k**3 + k**3)*(-24*k - 23*k + 8*k). -39*k**4 Expand -1 + y**5 + 1 + 6 - 6 - 6*y**5 + 0*y**2 + 0*y**2 + 2*y**5 + (-y**2 - y + y)*(-2 + 2 - 2*y**3). -y**5 Expand 2*g**2 - 3*g**3 - 2*g**2 + 5*g**3 - 2*g**3 - 4*g**3 + (0*g - 3*g + 5*g)*(-4*g**2 + 0*g**2 + 5*g**2). -2*g**3 Expand (13 + 8*c**2 - 13)*(1 + 0 + 1)*(-4 + 3 + 6). 80*c**2 Expand 2*g**2 + g - g + (g - 4*g + 5*g)*(-1 + 1 - 2*g) + (2*g + 1 - 1)*(-1 + 3 - 1)*(-3*g + 6*g - g). 2*g**2 Expand ((-6 + 2 + 3)*(1 - b - 1) + 5261 - 59*b - 5261)*(b + 3 - 3 - 1). -58*b**2 + 58*b Expand (-2*c + 5*c - c)*(2*c**4 - 2*c**4 + c**4) + 47*c**5 + 53*c**5 - 39*c**5. 63*c**5 Expand 2*y + 7*y - 21*y + (2*y + y - 5*y)*(2 + 1 - 1) - 3*y + 4*y - 3*y. -18*y Expand (-4*v - 3*v + v + 8*v)*(5*v**2 - v**2 - 3*v**2). 2*v**3 Expand (-1 + 3 + 0)*(7*p**2 + 5*p**2 - 14*p**2). -4*p**2 Expand (0*j**3 + j**3 + j**3)*(2*j - 2*j - j) + (j**4 + 3*j**4 - 2*j**4)*(-4 - 2 + 4). -6*j**4 Expand 4*q**2 + 5*q - 5*q + (-2 + q + 2)*(8*q - 89 + 89) + 5*q**2 - 2*q**2 - q**2. 14*q**2 Expand 15*w**2 + 14*w**2 + 4*w**2 + (-3*w**2 + 3*w**2 + 2*w**2)*(-2 - 1 + 2) - 2*w**2 - w**2 + 4*w**2. 32*w**2 Expand (-1 - 2 + 15)*(1 + 0 - 3)*(-5*b + 2*b + 2*b). 24*b Expand (w + 5*w - 4*w)*(184 - 40*w - 184). -80*w**2 Expand (2 - 2 + 1)*(-2*v - 2*v + 3*v + (-1 - 5 + 4)*(-v - 2*v + 4*v) - v + 2 - 2 + 4 + 8*v + 6*v - 2). 10*v + 2 Expand (-3*i + 3*i - i)*(2 + 2*i - 2 + (1 + 2 - 4)*(0*i - 3*i + 4*i) - 2*i + i + 2*i - 4*i + 0*i + i). i**2 Expand (0 + 0 - 2*u)*(4*u**4 - 131*u + 131*u). -8*u**5 Expand (0*f + 4*f - 3*f)*((-1 + 1 + 2*f**2)*(-5*f + 3*f + 4*f) + 0*f + 0*f - f**3). 3*f**4 Expand -2*l**4 - l + l + (3*l + 0*l - 2*l)*(-4*l**3 + 5*l**3 - 3*l**3) - l**2 - 2*l**4 + l**2. -6*l**4 Expand (-2 + 6 - 1)*(-2*q**3 - 5*q**3 + 5*q**3)*(3*q + 0*q - 4*q). 6*q**4 Expand -4*d**5 + 7*d**5 - 2*d**5 + (-5*d + 0*d + 3*d)*(3 - 3 + 2)*(2*d**4 - 2*d**4 + 3*d**4). -11*d**5 Expand (-v + 5*v - 5*v)*(-1 + 3 - 1 - 4 + 7 - 1 + 0 - 4 + 2 + (3 - 3 + 2)*(0 - 3 + 2) + 0 + 1 + 0 + 4 - 2 - 3 + (-1 - 1 - 1)*(-5 + 2 + 1) + 1 - 2 + 0). -4*v Expand (-1 + 1 + 2*l**3)*(-4 - 4 + 9) + l**3 + 2*l**3 - 4*l + 3*l. 5*l**3 - l Expand (-8*r**4 - r**4 - 4*r**4)*(-r + 2*r - 3*r - 2*r + r + 2*r + (-4 + 0 + 6)*(0*r + 3*r - r) - r - 2 + 2 - r + r + r). -39*r**5 Expand 1 - 1 + 2*a + 5*a - 3*a - 4*a + (3 - 2 - 3)*(-5*a - 4*a + 2*a). 14*a Expand -2*x**3 + 3*x**3 + 0*x**3 + (0*x**2 + 4*x**2 - x**2)*(5*x - x + 0*x) + 2*x**3 - 2*x**3 + 2*x**3. 15*x**3 Expand -s**4 - 3 - 5*s**5 + 7*s**5 - 2*s**4 + (3*s**2 + s**2 - 2*s**2)*(-5 + 5 + 2*s**3). 6*s**5 - 3*s**4 - 3 Expand ((1 - 1 + 2)*(2 + 1 - 2) - 5 + 2 + 5)*(-5*b**2 + b**2 + 2*b**2) + 4*b**2 + 1 + 0*b**2 - 3*b**2. -7*b**2 + 1 Expand (4*g - 2*g + 7*g)*(5 - 5 + 2*g)*(g - g - g). -18*g**3 Expand (-2*b - 3*b + 6*b)*(-b - 2*b**3 + b) - 2*b**4 + b**4 + 7*b**4. 4*b**4 Expand (2*c - 2*c**2 - 2*c)*((0 + 2 - 1)*(-1 - c + 1) - 3*c - 6 + 6). 8*c**3 Expand -3*o**2 - o**2 + 2*o**2 + (-o + 2*o - 2*o)*(o - 3 + 3) + (-18 + 18 + o)*(-2*o + 2*o + 2*o) + o**2 - o**2 - o**2. -2*o**2 Expand (0*o - 2*o**2 + 0*o)*(8*o - 10*o**3 - 8*o) + 2*o**5 - 4*o**5 + 0*o**5. 18*o**5 Expand -2 + 2 + 2*d - d + 0*d - d + (1 + 2 - 1)*(d - 5*d + 3*d) - 4*d + 3*d + 4*d. d Expand (3 + 9 - 123*x**4 - 12)*(-2 + 0 + 0). 246*x**4 Expand (-3 + 3 - 1)*(2 - 2 - 2)*(-7 + 2 + 2)*(l + l - 3*l). 6*l Expand (-152 - 16*w + 152)*((5 - 1 - 2)*(1 + 2 - 2) + 1 + 1 + 2). -96*w Expand 2*l**4 - 5*l**4 + l**4 + (-2*l**2 - l + l)*(2*l**2 + 0*l + 0*l) + l**4 - 3*l**4 - 3*l**4. -11*l**4 Expand 0*p**3 + 4*p**3 - 5*p**3 + (-5*p**2 - 5*p**2 + 4*p**2)*(p + 3*p - 5*p). 5*p**3 Expand n**2 + n**2 - n**2 + (6*n - 2*n - 3*n)*(-n + 2*n + n) - n**2 - 2*n**2 + 4*n**2 + 0*n**2 - n**2 + 0*n**2. 3*n**2 Expand
{ "pile_set_name": "DM Mathematics" }
-2*q + q = -4. Let f(z) = z - 3 + 2*z - q*z. Determine b*f(h) + 6*u(h). 2*h Let w(x) = -x**2 + 2. Let l be w(2). Let q(d) = 4*d + 3. Let i be q(l). Let t(o) = 7*o - 5. Let v(s) = 1 - 4*s + 1 + 1. Determine i*v(k) - 3*t(k). -k Let l(v) = -4*v**2 - 4*v + 6. Let r(w) = w**2 - 1. Give 2*l(y) + 10*r(y). 2*y**2 - 8*y + 2 Let y(v) = 4*v**2 + 2*v - 2. Let w(q) = 15 - 4 - 5*q - 19*q**2 - 2*q - 4*q. Give -2*w(a) - 11*y(a). -6*a**2 Let w(b) be the second derivative of -b**5/5 - b**4/6 - 3*b**2/2 - 105*b. Let h = 4 - -1. Let l(r) = 5*r**3 + 3*r**2 + 4. What is h*l(v) + 6*w(v)? v**3 + 3*v**2 + 2 Let i(a) = -a**3 + 2*a**2 - 4. Let q(t) be the first derivative of t**3/3 - t - 53. Let v be (4/(-2))/(-1*2). Calculate v*i(k) - 2*q(k). -k**3 - 2 Let x be (-26)/(-10) + 6/15. Let p = 16 + -14. Let o(i) = -i - 1. Let z(f) = f. What is p*o(m) + x*z(m)? m - 2 Let i(t) = 7*t**2 + 13*t + 5. Let d(y) = 6*y**2 + 12*y + 4. Give -5*d(p) + 4*i(p). -2*p**2 - 8*p Let v = 11 - 6. Let t(w) = -2*w**3 - 1 - 3*w**2 - 5*w**3 + w**3 + v*w**3. Let l be 2 + 1*(-6 + 1). Let d(h) = -2*h**3 - 4*h**2 - 1. Calculate l*d(q) + 4*t(q). 2*q**3 - 1 Let z(l) = 2*l**3 - l. Let k(i) = i**3 - i. Give 2*k(n) - 2*z(n). -2*n**3 Suppose -35 = -3*t + 8*t. Suppose 5*m = -15 - 15. Let q(w) = -1 - 1 - 8*w + 10. Let i(s) = 9*s - 9. What is m*i(o) + t*q(o)? 2*o - 2 Let n(g) = 47*g - 8. Let z(u) = 31*u - 5. Calculate -5*n(j) + 8*z(j). 13*j Let b(w) = -w**2 + 4*w. Let p(n) = -2*n. Suppose -4 = 4*v - 6*v. Let m = 0 + v. What is m*b(i) + 5*p(i)? -2*i**2 - 2*i Let k(t) = -t - 3. Let w(x) = x + 2. Let v be (-4)/(-24) - (-25)/(-6). Determine v*w(g) - 3*k(g). -g + 1 Suppose 12 = 5*f - 18. Let a(s) = -6*s**2 + 11. Let d(o) = 2*o**2 - 4. Give f*a(c) + 17*d(c). -2*c**2 - 2 Let a be (3 - 2)/(2/(-6)). Let r = -4 + a. Let l(b) = 5*b**3 + 4*b**2 + 5*b. Suppose -d + 2*d - 6 = 0. Let k(w) = 6*w**3 + 5*w**2 + 6*w. Give d*k(o) + r*l(o). o**3 + 2*o**2 + o Let v(d) = -6*d**2 + 2*d**2 + 3*d**2. Let z(r) = 3*r**2. Let s(w) = -w**3 + 8*w**2 + 9*w - 6. Let l be s(9). Let u = -4 - l. Give u*z(f) + 4*v(f). 2*f**2 Let c(i) = i + 7. Suppose 9 = -3*b, 0*b - 7 = -5*y - b. Let m(d) = -3. What is y*c(u) + 5*m(u)? 2*u - 1 Let d(q) = -q**3 + 2*q**2 + 1. Let m be d(2). Let o(w) = -w**2. Let p(l) = 2*l**2 - 3. Give m*p(v) + 4*o(v). -2*v**2 - 3 Let p(m) = -m. Let o(h) = 4*h. Give o(a) + 3*p(a). a Suppose 7*t = 15*t + 136. Let m(c) = -14*c - 21. Let s(r) = 42*r + 62. Let x(o) = -7*m(o) - 2*s(o). Let h(v) = 5*v + 8. Calculate t*h(i) + 6*x(i). -i + 2 Let g(o) = -3*o - 6. Let q(h) = -7*h + 176. Let f be q(26). Suppose 0 = 2*i - 0*i - 10. Let t(x) = -2*x - 5. Give f*t(k) + i*g(k). -3*k Let a(w) = w - 2. Let b = -3 + 5. Let p(x) = -1. Let d(y) = -2*y + 2. Let m be d(3). What is b*a(u) + m*p(u)? 2*u Let f(c) = 4*c**2 + 6*c - 7. Let u(z) = 4*z**2 + 5*z - 6. Let l(o) = -4*f(o) + 5*u(o). Let q(b) = -11*b**2 - 2*b + 5. Give -8*l(j) - 3*q(j). j**2 - 2*j + 1 Let m = 20 + -12. Let s(f) be the second derivative of f**4/12 - 5*f**3/6 - 5*f**2/2 - 19*f. Let g(d) = -2*d**2 + 8*d + 8. Give m*s(r) + 5*g(r). -2*r**2 Let n(y) = -2*y**3 - 4*y - 4. Let h = -9 + 12. Let u(c) = c**3 - 4*c**2 + 4*c - 4. Let b be u(h). Let l(j) = j + 1. Give b*n(f) - 4*l(f). 2*f**3 Let g(y) = 4*y**2 - 9*y. Let u be -4*(-4)/16 - 10. Let l(t) = t**2 - 2*t. Give u*l(o) + 2*g(o). -o**2 Let s(a) = -4 + 0 + 3 - 4*a**2 - a**3. Let i(q) = 2*q**3 + 5*q**2 + 2. Suppose -3*o + 7*y - 5*y - 13 = 0, 2*o + 14 = 4*y. Calculate o*s(c) - 2*i(c). -c**3 + 2*c**2 - 1 Let c(f) = -f**3 + f**2 + 1. Let v = -10 - -9. Let p(u) be the first derivative of 1/3*u**3 + 0*u**2 - 1 + 0*u + 1/4*u**4. Calculate v*c(g) + p(g). 2*g**3 - 1 Let w(z) = -3*z + 3. Let d(f) = 7*f - 7. Let l(y) = -2*d(y) - 5*w(y). Let r(g) = 8*g - 5. Calculate -5*l(s) + r(s). 3*s Let t(y) = 5*y**2 - 6*y - 2. Suppose 0 = -4*m + 20 - 0. Let j(h) be the first derivative of h**3 - 2*h**2 - h - 1. What is m*t(z) - 8*j(z)? z**2 + 2*z - 2 Let y(k) = -7*k + 7 + 1 - 2 + 1. Let r(a) = 6*a - 3. Let x be r(4). Let w be x/(-4) + (-1)/(-4). Let i(q) = q - 1. Determine w*i(p) - y(p). 2*p - 2 Let d(y) = y - 6. Let p(i) = -i**2 + 13*i - 15. Let v be p(11). Let w(o) = -o + 5. Calculate v*w(l) + 6*d(l). -l - 1 Suppose 27 = -4*i + s - 0*s, -2*i - 4*s = 0. Let y(h) = 6*h**3 + 7*h**2. Let w(m) = -5*m**3 - 6*m**2. What is i*y(k) - 7*w(k)? -k**3 Let o(v) = v**2 + 5*v + 4. Let y(b) = 12*b**2 + 13*b**2 - 22*b**2 + 9 + 11*b. Determine -7*o(r) + 3*y(r). 2*r**2 - 2*r - 1 Let d(o) = o**3 + 4*o**2 - 4*o. Let q(x) = 6*x**3 + 21*x**2 - 21*x. Let z be (-5)/(15/6) + -2. Calculate z*q(j) + 21*d(j). -3*j**3 Let i(p) = -5*p + 5. Let v(b) = 4 - 5 + 2. Let a(q) = i(q) - 3*v(q). Let l(r) = 6*r - 3. Determine 4*a(t) + 3*l(t). -2*t - 1 Let u(y) = 3*y**2 + 2*y. Let z(b) = 7*b**2 + 6*b + 4. Let p(r) = -20*r**2 - 17*r - 11. Let q(c) = 4*p(c) + 11*z(c). What is 3*q(x) + 4*u(x)? 3*x**2 + 2*x Let t(h) = -6*h**3 - 5*h**2 + 5*h + 5. Let a(i) be the first derivative of -i**4/4 - i**3/3 + i**2/2 + i - 7. Give 5*a(g) - t(g). g**3 Let b(o) = 5*o**3 + 4*o - 3. Let z = 7 - 3. Let q(w) = -11*w**3 - 9*w + 7. What is z*q(f) + 9*b(f)? f**3 + 1 Suppose 0*l = -4*l + 24. Let o(n) = -5 - 2*n - 7 + 7*n**2 + 10. Let f(d) = d**2. Let c(v) = v**2 + 4*v - 6. Let a be c(-5). Calculate a*o(r) + l*f(r). -r**2 + 2*r + 2 Let q(p) = -40*p**2 + 3*p. Let b(x) = x**2 - x. Calculate -3*b(o) - q(o). 37*o**2 Let j(r) = -4*r**3 - 2*r**2 + 10*r - 4. Let u(c) = 5*c**3 + 2*c**2 - 10*c + 5. Give -6*j(s) - 5*u(s). -s**3 + 2*s**2 - 10*s - 1 Let n(h) = 5*h + 5. Let d(l) = l**2 - l. Let t(o) = 2*d(o) + n(o). Let j(u) = 4*u - 6*u + 0 - 3 + 0*u - u**2. Let a = -4 - -1. What is a*t(s) - 5*j(s)? -s**2 + s Let p(w) = 5*w**3 + 4*w**2 + 7*w + 11. Let x(o) = 8*o**3 + 6*o**2 + 10*o + 16. Give -7*p(f) + 5*x(f). 5*f**3 + 2*f**2 + f + 3 Let r(o) = 3*o - 58. Let h(p) = -p + 1. Calculate 4*h(v) + r(v). -v - 54 Let d(y) be the second derivative of y**4/12 - y**3/2 + 3*y**2/2 - 11*y. Let p be (15/(-25))/(1/5). Let w(m) = -m**2 + 4*m - 4. Determine p*w(v) - 4*d(v). -v**2 Let k(a) = 15*a + 2. Suppose 2*d = 2*q - 3*d - 26, -3*d = 5*q - 34. Let x(y) = -23*y - 3. Calculate q*k(n) + 5*x(n). 5*n + 1 Let y(r) = 15*r - 5. Let i(p) = 8*p - 2. Calculate -7*i(f) + 3*y(f). -11*f - 1 Let h(y) = -y**2 - y. Let d(u) = -4*u**2 - 2*u. Determine d(s) - 2*h(s). -2*s**2 Let o(j) = -j**2 + 5*j - 5. Let d(c) = 0 + 9*c + 2 + 2*c**2 - 3*c**2. Let m be d(8). Let y be (m/(-4) - 0)*-2. Let x(h) = -2*h + 2. Determine y*x(a) + 2*o(a). -2*a**2 Let d(f) = -f**2 + 9*f - 15*f + 7*f. Let q(j) = j**3 + 2*j**2 - j. Give -4*d(p) - 2*q(p). -2*p**3 - 2*p Let v(d) = -4*d - 3. Let n(u) = -7*u - 6. Let f(r) = 4*n(r) - 9*v(r). Let o(w) = 3*w + 1. Determine 6*f(p) - 17*o(p). -3*p + 1 Let c(q) = -q**2 + q - 1. Let h(s) = 3*s**2 - s + 2. What is 2*c(v) + h(v)? v**2 + v Let f(x) = 22 + 2*x - 22. Let r(b) = -2*b + 4 - 1 - 3. Determine 5*f(p) + 6*r(p). -2*p Let s(g) = -9*g**2 - 13*g - 11. Let q(m) = 4*m**2 + m - 2*m + m**2 + 8*m + 6. Calculate 11*q(l) + 6*s(l). l**2 - l Let w(m) = -4*m - 5. Suppose 5*f = 5*u - 30, f - 3 = -2*f. Let k(r) = 2. Let n(a) = a - 2 + 5 - 8 - 8. Let q(o) = -14*k(o) - 2*n(o). Calculate u*q(t) - 3*w(t). -2*t + 1 Let l(k) = 3*k**2 + 2. Let m(p) = -10*p**2 - 7. Let n = -171 - -164. Calculate n*l(o) - 2*m(o). -o**2 Let a(v) = -39*v**3 - 33*v**2. Let r(l) = -5*l**3 - 4*l**2. Give 4*a(n) - 33*r(n). 9*n**3 Suppose 5*p + 4 = -3*k, -4*p - 12 = -p + 5*k. Let l(w) = 2*w**2 + 2*w + p + 9*w + 3*w**2. Let z(v) = v**2 + 2*v. What is -2*l(h) + 11*z(h)? h**2 - 2 Let w(k) = k**2 - 6. Let q(m) = -2. Let b = 16 - 10. Suppose 7 = b*c - 5*c. What is c*q(t) - 2*w(t)? -2*t**2 - 2 Let c(z) = -1. Let f(j) = 3*j**2 + 5*j + 5. Give 3*c(o) + f(o). 3*o**2 + 5*o + 2 Suppose -48*y - 3 = -45*y. Let f(m) = 7*m + 7. Let b(i) = -i - 1. What is y*f(u) - 5*b(u)? -2*u - 2 Let b(r) = 9*r**3 - 5*r**2 - 5*r + 7. Let d(g) be the third derivative of -g**6/30 + g**5/30 + g**4/12 - g**3/2 + 17*g**2. What is 3*b(j) + 7*d(j)? -j**3 - j**2 - j Let k(r) = 2*r**3 + 5*r**2 + 27*r + 3. Let g(n) = 3*n**3 + 8*n**2 + 40*n + 5. Calculate 5*g(u) - 8*k(u). -u**3 - 16*u + 1 Let y(z) = -z. Let r(s) = -4*s. Suppose -17 = 2*u + 1. Determine u*y(k) + 2*r(k). k Let z(q) = -4*q**2 + 31*q + 4. Let m(y) = 3*y**2 - 30*y - 3. Determine -5*m(
{ "pile_set_name": "DM Mathematics" }
). Let r = 57886/15 - d. Which is smaller: -3 or r? -3 Let h be (-20)/436*6/25*52/(-195). Is -1 <= h? True Let d = -0.13 + 0.3. Let x = 0.7 - 0.6. Let m = x - d. Is 0 smaller than m? False Let q = 4380 + -4299. Is 80 not equal to q? True Let v = 899519697977/33344270010 + -53501/607862. Let i = v + 1/6095. Which is greater: 26 or i? i Let n(b) = b**2 - 242*b + 5426. Let l be n(25). Is -2/5139 greater than l? False Let u be 19776/(-56) + 5/35. Let m = u + 1079/3. Which is smaller: m or 7? m Suppose -72 = -6*u + 6. Let a = u - 10. Let v be (6 - a)/((-30)/(-3)). Is -2/3 greater than or equal to v? False Let w = -138 + 389. Let z = -252 + w. Is z at most -5/37? True Suppose 4*j = 4*t + 72, -66 = -3*j - j + 2*t. Suppose 0 = -0*k - 5*k + j. Suppose -a - 4 = k*a. Which is greater: a or 2/5? 2/5 Suppose 5*r - 3 = 5*q + 47, -2*q + 1 = r. Suppose 0 = 10*x + 1588 + 412. Let y = 209 + x. Which is smaller: r or y? r Let z = 418 - 418.24. Let l = 0.44 + z. Which is greater: l or -141? l Let s = -56.054 + 56. Let f = 5/49 - 33/49. Which is smaller: s or f? f Let c = -2722354/21 - -129530. Which is greater: c or -106? c Suppose 0 = -17*r + 78 - 27. Which is greater: r or -70? r Suppose 18*d - 42 = 12*d - 15*d. Is 13/7 greater than d? False Let w be (6/(-5))/(14*(-9)/(-237300)). Which is greater: w or -2259? -2259 Let d = -0.09103 - -0.09103. Which is bigger: 143 or d? 143 Let v(u) = -u**2 + 5*u + 44. Let l be v(8). Suppose l*i - 27*i = 14. Is i less than -9/17? True Suppose -98*v = -t - 93*v - 5447, -2*t = 5*v + 10819. Is t != -5422? False Let o(p) = -3*p + 36*p**2 + 18 - 18*p**2 - 19*p**2. Let f be o(-6). Let w = -2686/21 - -128. Which is bigger: w or f? w Let m = -0.12 + 0.22. Which is bigger: m or -2/4245? m Let z = 13/51 - 3/34. Suppose 63 = 52*n - 31*n. Suppose 0 = -n*j - p - 2, -4*j + 2 = p + 3. Are z and j nonequal? True Let a = 22168 + -332392/15. Which is bigger: a or 10? 10 Let b = 3 - 3. Let d = -193.402 + 193.51. Do b and d have the same value? False Let n = -441 - -337.9. Let f = 97 + n. Let l = f - -6.05. Which is greater: l or -1? l Let g(i) = -3*i**3 - 51*i**2 + 29*i + 2. Let l(c) = c**3 + 18*c**2 - 10*c - 1. Let f(d) = -4*g(d) - 11*l(d). Let y be f(-7). Is -8 at most as big as y? True Let a(n) = n**2 + 1417*n + 2829. Let k be a(-2). Which is smaller: -28/1277 or k? k Let i(n) be the third derivative of -n**5/20 - 13*n**4/12 - n**3 + 2*n**2 + 6. Let k be i(-8). Which is bigger: 8 or k? k Let v be 1 + ((-918)/(-85) + 15)/((-2)/70). Which is smaller: -911 or v? -911 Let g be 660/(-6397336)*(-4)/15. Do g and -1 have the same value? False Let p = -13977/7429 - -51/437. Suppose 2*q - 2 = 3*q. Which is greater: q or p? p Suppose -171 = 16*v + 3*v. Let f be (2/(-6))/(v/(-24)*20). Is f greater than or equal to 2? False Let n = -44/45 - -6/5. Let y be -19 + (-1576)/(-264) + 13. Is y < n? True Let q = -2 - -2.35. Let y = 11037.98 - 11038. Is y >= q? False Let k be (-6)/(-15) - ((-94)/14115*246 - -2). Is 0 less than or equal to k? True Let b(g) = -g - 7. Let l be b(2). Let w be (18/(-48))/(l/78). Is 3 >= w? False Let y(j) = 44*j + 3519. Let g be y(-75). Is 157 smaller than g? True Suppose 5*j + 90 = 2*p, -10*j + 4*j = -p + 38. Is 63 < p? False Let a = -11975.9 + 11163. Let b = a + 780. Let m = 33 + b. Which is smaller: m or 2/5? m Suppose -427*f - 611410 = 1084207. Which is greater: -3970 or f? -3970 Let j = -94 - 15. Let y = j - -108.9. Is y at least as big as 81? False Let k = -444.0242 + 0.0242. Let p = k + 445. Which is smaller: p or -193? -193 Let u be (2/12*3)/((-2)/40). Let a(g) = -g**3 - 10*g**2 + 12. Let h be a(u). Which is bigger: 10 or h? h Let a = 1638.16 + -1612.2. Is -2 bigger than a? False Let l = -7643 + 4651. Is l not equal to -2995? True Let t be (-4)/((-3090)/(-255) - 12). Is -1 at most t? False Let a(t) = 2*t**3 + 8*t**2 + 4*t - 5. Let s(i) = -i**3 - 7*i**2 - 5*i + 5. Let r(d) = 2*a(d) + 3*s(d). Let q be r(6). Which is greater: q or -1/9? -1/9 Let x(w) = 66*w**3 - 2 - 2*w - 65*w**3 + 5*w**2 + 0. Suppose -4*t = -4*f + 3 + 1, -31 = 3*t + 4*f. Let b be x(t). Are 8 and b non-equal? False Let t = 90 + 35. Let z = 123 - t. Which is smaller: z or -0.23? z Let x = -103.234 - -0.234. Let a = x - -103.109. Let g = -0.391 - a. Which is smaller: 14 or g? g Let n be (9/534)/(15/10). Let a be -1*(-2 - 9/(-6))*(19 + -19). Which is smaller: a or n? a Suppose 2*j = 3*a + 591, 3*a + 5*j + 238 = -353. Which is bigger: 0.14 or a? 0.14 Let o(r) = -20*r**2 + 111*r + 1028. Let b be o(-9). Is b not equal to 0.1? True Let y = 34 - 24. Let c be 2/(36/135 + (-5)/30). Let m be (y/c)/((-2)/(-6)). Are m and 2 equal? False Let v(t) = -t**3 - 135*t**2 + 265*t - 1236. Let u be v(-137). Which is smaller: u or 173? u Let u = 74 + -71. Suppose 7*q = 3*s + u*q - 34, -4*q = 16. Suppose -s*h + 15 + 3 = 0. Which is greater: h or 0.6? h Let k = -20 + -55. Let l = 126 + k. Let i = l + -32. Is i at most 19? True Let m = -10415 + 10609. Suppose -s = -6*s + 960. Which is greater: m or s? m Let b = -3433 - -3432. Which is bigger: 8/863 or b? 8/863 Suppose 91*d = 92*d - 16. Suppose -9*x = -11*x + d. Suppose 0 = -2*o - 0*t + t - 1, 5*o + 3*t = -x. Which is greater: -1/74 or o? -1/74 Let y(g) = -3933*g + 553. Let n be y(2). Is n at most -7313? True Let b = -0.14 - 0.01. Let f be (-6 + 11)*672/20. Let w = f + -170. Which is greater: b or w? b Let f(y) = -y**2 - 11*y + 17. Let z be f(-13). Let v be (-48)/(-72) - (-1)/3*-35. Which is bigger: v or z? z Let h(v) = 2*v**3 - 4*v - 3. Let s(k) = k**3 + k**2 - 3*k - 2. Let o = 14 + -16. Let a(f) = o*h(f) + 3*s(f). Let u be a(3). Is -1 >= u? True Suppose -34*u = -33*u - 7. Let s be 2*(620/8 + u). Which is bigger: s or 509/3? 509/3 Let c = -12690 + 13433. Which is bigger: 744 or c? 744 Suppose -2757 = -20*b + 2303. Which is bigger: b or 243? b Let u be (-3)/(-36) + -2 + (-151304)/96. Which is smaller: u or 2? u Let c = 221549/121 + -1831. Is -1 < c? True Suppose 2*f - 685 = 5*g, -5*g + 2*f - 5*f = 710. Suppose 0 = 4*i - 4*j + 544, -5*i + j + 148 = 840. Does i = g? True Let j = 96 - 69. Suppose -5*b + 14*b - j = 0. Suppose 0 = 22*c - 25 + b. Is -31 equal to c? False Let a = -869/28 + 123/4. Let g(u) = u**3 - 33*u**2 + 2*u - 67. Let p be g(33). Let x be ((9/27)/((-2)/6))/p. Which is bigger: a or x? x Let q be (-4256434)/(-343) - (-4)/7. Suppose 14*u + q = 48*u. Are u and 365 non-equal? False Let u = -41011 - -25810. Which is greater: 0 or u? 0 Let u = -37 - -43. Suppose -5*r = -25, -7*r = -4*g - u*r + 91. Is 30 > g? True Let p = 0.9687 + -0.8687. Let b = 6 + -16. Which is smaller: p or b? b Let j = 38096/3 + -11009752/867. Is j at most as big as 1? True Suppose 15 = -3*j, 8*n - 15 = 10*n + 5*j. Suppose -n*g - 4*o - 8 = -3*o, 4*o - 2 = -3*g. Let v(m) = -m + 4. Let f be v(6). Do f and g have different values? False Let m be ((-30)/4)/(2/4). Suppose 4*z = 3*w + 12, -3*w = -3*z + 2*z + 12. Suppose z = -5*x + 15*x + 150. Is x greater than or equal to m? True Let l = -737/7 + 106. Let b(q) = 6*q + 18. Let r be b(0). Suppose r - 8 = 5*p. Which is smaller: l or p? l Let o = 3782/33 + -92919892/810777. Which is greater: 1 or o? 1 Let m(c) = -2*c**3 + 7*c - 8. Suppose -6 = 4*o - 18. Let n be m(o). Is -38 at least n? True Let c(n) = -8*n + 55. Suppose 134 - 190 = -8*h. Let g be c(h). Is -2/271 greater than g? True Let i be (-1)/(-42)*7 + 1174/(-6900). Let z = 571/1150 - i. Which is bigger: -10.9 or z? z Suppose -15 = -19*w + 23. Suppose 0 = -t + 3*l - 2, -22*t + 20*t - w*l = -36. Is t at most 12? False Let q = -8886 - -4167528/469. Do -1 and q have the same value? False Let f(b) = 2*b - 6. Let s be f(0). Let p be 4/(-26) - (-102)/(-13). Let v = p + 3. Which is smaller: v or s? s Let c = -775 - -811.86. Let l = 1.74 + c. Let t = l - 39. Which is smaller: t or -10? -10 Let i = -280 - -630. Suppose 3*t = -s + 1056, 0 = 4*t + 290*s - 291*s - 1401. Is i less than t? True Let i = 48 + -47.994. Let h = i - -2.694. Let o = h + -2.9. Do o and -2/9 have different values? True Let b = 256.5 + -45.5. Let w = -226 + b. Do w and -6 have the same value? False Let j = 13001 + -16250. Is -3249 smaller than j? False Let a = 23774 + -23753.854. Let z = 19.9 - a. Let p = 0.054 - z. Does -5 = p? False Let j(s) = 10*s + 542. Let f be j(-54). Which is greater: f or 33/62? f
{ "pile_set_name": "DM Mathematics" }
. Let d be l(-18). Sort 7, 0, d, -2 in increasing order. d, -2, 0, 7 Let r(q) = -q**3 + 9*q**2 - q + 13. Let w be r(9). Suppose -u = 4*u - 10. Suppose 9 = -3*p - 0*p. Put u, p, w in decreasing order. w, u, p Let d = 0.158 + -0.278. Let o = 153.3 + -153. Sort o, d, 5 in decreasing order. 5, o, d Let b = -4.8 + -0.2. Let g = -106/153 + 8/17. Sort 1/3, g, b, -2/5. b, -2/5, g, 1/3 Suppose 0 = -3*k - c - 11, -2*c - 5 = -7*c. Suppose -5*l - 2*l + 23 = 44. Sort -5, 0, k, l in descending order. 0, l, k, -5 Let z = -0.4 + -28.6. Let v = z + 31.6. Let b = v - 1.6. Put 4, -0.5, b in decreasing order. 4, b, -0.5 Let j(t) = t**3 + 6*t**2 + 3*t - 7. Let g be j(-5). Suppose -24*f = -16*f. Suppose f*a = 3*a. Sort a, g, -3 in descending order. g, a, -3 Let n(y) = 4*y - 8. Let b be n(7). Let h be (b/(-4))/(2 + -1). Sort h, 4, -1 in descending order. 4, -1, h Let b = -3/43 + -19/344. Let x = -5.35 - -4.85. Put x, 0.8, b in ascending order. x, b, 0.8 Let x be (-2)/12*-3*-6. Let v be (512/(-24) - -3)/(4/(-12)). Put v, -2, x in descending order. v, -2, x Let h = 3 + 15. Let p = 24 + -9. Let t = h - p. Sort 3/8, t, 1/6 in increasing order. 1/6, 3/8, t Let u be 0/(-2) + -8 + 94 + -82. Sort -69, 5, u in descending order. 5, u, -69 Let v = 228.6 + -229. Let s = -4.7 - -0.7. Put v, 1, s in ascending order. s, v, 1 Let o = 1811/30 + -121/2. Let d = 6.96 + -7. Let q = d + -2.96. Sort q, -2, o in increasing order. q, -2, o Let v be (-1)/(-6 - 189/(-28)). Put v, 0, -5, -4 in descending order. 0, v, -4, -5 Suppose -5*n - 2*v - 19 = 0, -3*n + 4*n - 3 = 3*v. Sort 4, -18, n. -18, n, 4 Let r be 1/2*(0 + 0). Suppose r = -5*j - 0*j + 20. Let b be (3 - j) + -1*3. Sort -1, 2, b in increasing order. b, -1, 2 Let b = -264.1 - -262. Sort 2, 5, b in increasing order. b, 2, 5 Let j = -12 + 8. Let p = 1 - j. Suppose -k + 2*z + z + 2 = 0, -k + 4 = -p*z. Sort 0.5, 1/3, k. k, 1/3, 0.5 Let t(n) = -n**2 + 19*n - 37. Let b be t(2). Put -1, b, 6, 1 in descending order. 6, 1, -1, b Suppose 5*g = -5*b, g - 6 = -4*b - g. Let j be 40/12 + (-1)/b. Let k = 51 + -49. Sort j, k, 1 in descending order. j, k, 1 Let k be 0 + -10 - (4 + -2). Suppose 0 = -12*h - 20 - 40. Sort -1, k, h. k, h, -1 Let w(b) = b**2 - 11*b + 30. Let x be w(4). Sort -5, 8, x, 5. -5, x, 5, 8 Let a = -130 + 133. Sort a, -1/4, 2, -6 in decreasing order. a, 2, -1/4, -6 Let o be (-30)/18 + (-2)/(-3). Let j = -71/209 + 3/19. Sort -2/5, -3/2, o, j. -3/2, o, -2/5, j Let g(c) = -2*c**2 - 86*c - 159. Let b be g(-41). Sort 2, -4, -19, b. -19, -4, 2, b Suppose -k + 4 = -2. Suppose 2*b - w - 6 = 0, 2*w - 16 = -4*b + k*w. Let j be (1/3)/((-9)/135). Sort j, 5, b in ascending order. j, b, 5 Let v be 12/(-6) - -3 - -111. Put 4, 5, v, -5 in increasing order. -5, 4, 5, v Suppose 3*l - 30 = -2*d - 2*d, -5*d + 22 = -4*l. Let x be 20/(-8) + 12/8. Let q = 0 - 3. Sort x, d, q. q, x, d Let o = 15 - -54. Let s = o + -70. Sort -3, 2, s. -3, s, 2 Suppose -3 = -2*s + 3*s. Let o be 19/38 + 6/4. Sort s, 5, -2, o in descending order. 5, o, -2, s Suppose -1760 = 4*b - 9*b. Let x = 1754/5 - b. Let i = 21/2 + -10. Sort x, i, -4 in descending order. i, x, -4 Let a = 12 - 7. Suppose -3*b = 5*o - 13, a*b - o + 3*o = -10. Sort 2, -14, b. -14, b, 2 Suppose 213 = -m + 3*w, -m + 4*w = -2*m - 220. Let i be (-75)/m - (-7)/(-56). Put i, -1.9, 4/5, 2 in decreasing order. 2, 4/5, i, -1.9 Suppose -2*a + 1 = -7. Suppose 0 = -5*y + 30 - 55. Put 3, -1, a, y in increasing order. y, -1, 3, a Suppose -5*q - 146 = 4*n - 106, 0 = -5*n + 5*q - 5. Sort -21, -8, n in ascending order. -21, -8, n Let d = 16.88 - 21.88. Put d, -8, 1/4 in descending order. 1/4, d, -8 Let u = 0.98 - 1.08. Put 1/3, 3, u in decreasing order. 3, 1/3, u Let m(v) = v**3 + 26*v**2 - 2*v - 54. Let z be m(-26). Put z, 0.13, 0.3 in decreasing order. 0.3, 0.13, z Let o = 4 - 2. Let q be -18*9/120 + 2. Let i = q - 2/5. Sort 5, i, o in descending order. 5, o, i Let m = 2410/3 - 794. Let w = m + -9. Let u = -101.9 + 106.9. Sort -3, w, u in decreasing order. u, w, -3 Let f = -50.2 - -59. Let q = -0.2 - f. Let x = 5 + q. Sort -0.4, x, -3 in increasing order. x, -3, -0.4 Let g = 0 - -0.1. Let d = 1.86 - 0.26. Let y = d + 1.4. Put g, y, 5 in increasing order. g, y, 5 Let n(c) = c**2 - 16*c + 28. Let i be n(14). Put i, 3, 2, -3 in decreasing order. 3, 2, i, -3 Let k be (2*3/12)/(4 + 4). Let t = -0.068 + 1.068. Put t, 5, -3, k in ascending order. -3, k, t, 5 Let v = 6 + 3. Suppose -3*c = 2*b - 30, 2*c - b = -6*b + v. Let q = c + -16. Sort 0, -2, q. q, -2, 0 Suppose -2*z + z + 2*a = -2, -z = 3*a - 7. Suppose s + 61 = -2*s - 5*k, z*k = -20. Put -5, 0, s in descending order. 0, -5, s Let h(t) = -t**2 - 14*t - 18. Let f be h(-11). Suppose -f = 5*o, u - o + 5*o = -8. Sort u, 3, 0. 0, 3, u Let t = 4.5 - 4. Let k be (-1 - -2)/(14/4). Sort 0, t, -5, k. -5, 0, k, t Let y be 2 + ((-114)/27 - -2). Let p(z) = -2*z**2 + 7*z - 6. Let a be p(2). Let v be (a + (2 + -2 - -2))/(-5). Put v, y, 0.3 in increasing order. v, y, 0.3 Let w = 1 + -4. Let m be (-30)/(-25)*(-5)/(-3). Sort 0, 9, w, m in descending order. 9, m, 0, w Let a be (30764/1872 - 4) + -4. Let f = a - 110/13. Let j = -2/9 + f. Sort j, -1/9, -4 in decreasing order. -1/9, j, -4 Suppose g - 3*m + 5 = -m, -5*m = -3*g - 14. Let h be g/(3 + 45/(-20)). Put -2, 0, h in ascending order. h, -2, 0 Let x = -8 + 8.3. Let z = -176.5 - -179.5. Sort 1/11, x, z. 1/11, x, z Let g be 3/(-22)*8/6. Let o = 113.6 + -114. Sort 4, g, o, -4 in decreasing order. 4, g, o, -4 Let z = -3.49 - 0.21. Let i = z - 1.3. Let d = 2246/11 - 204. Sort i, d, 0 in descending order. d, 0, i Let x = -1189 + 13075/11. Let f = -2.2 - -2. Let c = f - -0.2. Put x, 0.1, c in decreasing order. 0.1, c, x Suppose 37*v - 83 = 213. Let a = 9 + -4. Put v, a, -4 in decreasing order. v, a, -4 Let h be 18/(-45)*(-104 + -1). Let q = h - 46. Put 0, -3, q, -5 in ascending order. -5, q, -3, 0 Let s = 938 - 934. Let a = -49 + 243/5. Sort a, s, 2/3, 5/2 in decreasing order. s, 5/2, 2/3, a Suppose -d = 3*z + 2, -2*d + 4*z - 5*z - 4 = 0. Sort -1/6, 5, 3, d in decreasing order. 5, 3, -1/6, d Let u = 22.61 - -0.39. Let b = -23 + u. Put b, -7, 0.4 in descending order. 0.4, b, -7 Suppose 0 = -6*f - 18 - 6. Suppose 4 = -4*i + 2*x, -4*i - 4*x - 5 = i. Sort i, f, 1/9 in descending order. 1/9, i, f Suppose -2*z + 7 + 22 = 3*s, -4*z - 2*s = -62. Let f = 28 - z. Let a be 9/2*f/(-18). Sort 4, a, 3 in descending order. 4, 3, a Let r = 890 - 893. Sort r, -16, 2 in decreasing order. 2, r, -16 Let u = 1116 - 1128. Sort u, 3/4, 1. u, 3/4, 1 Let j = -0.57 - -0.17. Put j, -9, -2/9 in decreasing order. -2/9, j, -9 Let u = 0 - 3. Let o = 0 - -5. Suppose -14*w - 365 + 178 = -229. Put w, o, u in descending order. o, w, u Let g = 159 - 798/5. Let h be 15/(-24)*8/(-6). Let y = 0.6 - 1.1. Sort g, h, y in decreasing order. h, y, g Let m = -1441 + 1443. Let n be 3/(0 + 2 - 3). Sort n, 4, m in ascending order. n, m, 4 Let n(z) = -z**3 - 7*z**2 - 6*z - 18. Let v be n(-7). Let r be (24/(-117))/((-16)/v). Put -1, r, 0.2 in ascending order. -1, 0.2, r Let y = -0.26 + -15.74. Let x = -14.106 - -0.106. Let v = y - x. Put -1, v, 2 in ascending order. v, -1, 2 Let x = -52 - -77. Let w(r) = -33*r + 264. Let t be w(8). Sort t, x, -2 in descending order. x, t, -2 Let z(b) = -b**2 - 7*b + 140. Let v be z(-16). Put -7, -12, -2, v in increasing order. -12, -7, v, -2 Let c = 0.39 + 1.51. Let h = c + -2. Put h, -1/4, 0.5 in decreasing order. 0.5, h, -1/4 Let y = -230 - -232. Suppose 0 = n - 6*n - 5*b + 20, 3*b = 5*n + 12. Let q be (3 - (2 - n)) + 0. Sort q, y, -2 in decreasing order. y, q, -2 Let z = 5 + -5.1. Let m = 7.5 + -7. Put 0, z, m in ascending order. z, 0, m Suppose -4*o + 4*j - 4 + 8 = 0, -5*o - 5 = -3*j. Let i(h) = 966*h - 5792. Let b be i(6). Let d = -2 + 3. Put o, b, d in decreasing order. b, d, o Suppose -y + 3*b = 2*b - 8, -2*y - 5*b - 12 = 0. Sort 5, 32, y in descending order. 32, 5, y Let c be 5 + -8 - (0 - 81). Let m be (2/(-3))/((-4)/c). Suppose -4*s - 12 = -4*f, 4*s - 1 = 2*f - m. Put 3, 5, s in descending order. 5, 3, s Let g = -288 - -287. Sort 1/3, -15, 2/3, g in increasing order. -15, g, 1/3, 2/3 Let m be (48/(-28) - -2) + 0. Let u = 13.4 + -13. Let s be (1 - 1)*(7/(-2) + 3). Put m, u, s in decreasing order. u, m, s Let q = 2.31 + -2.91. Sort q, -2/21, 0 in asce
{ "pile_set_name": "DM Mathematics" }
11. Let f(v) = -15*v**3 - 50*v**2 - 21*v - 22. Determine -3*f(b) + 7*w(b). -4*b**3 - 39*b**2 - 11 Let y be (0/(-1))/4 - 2. Let q(o) = 6*o - 14. Let w be q(3). Let f(v) = -w - 6*v + 0 + 4*v + 3. Let b(s) = 2*s + 1. What is y*f(g) - 3*b(g)? -2*g - 1 Let s(o) = 65*o - 26. Let z(u) = -16*u + 7. Let f(n) = -2*s(n) - 9*z(n). Let r(g) = 9*g - 7. What is 5*f(d) - 8*r(d)? -2*d + 1 Let n(f) = -32*f - 26*f + 91*f - 8*f - 32*f. Let g(h) = 11*h. Suppose -2*w + 3*w + 11 = 4*u, -2*u = -8. Determine w*g(s) + 8*n(s). -s Let s(p) = 25*p + 18*p - 72*p + 18*p + 5. Let c(k) = 6*k - 3. Determine 5*c(t) + 2*s(t). 8*t - 5 Let m(x) = 2*x**2. Let h = -3277 + 3280. Let r(u) = u**2 + u - 1. What is h*r(n) - m(n)? n**2 + 3*n - 3 Let o(s) = 14*s - 352. Let c(i) = 12*i - 361. Calculate -6*c(j) + 5*o(j). -2*j + 406 Let x(v) = 5*v - 5. Let t(l) = -l. Let j(z) = -6*t(z) - x(z). Let s(a) = -41 + 6 + 16 + 16 + 5. Calculate -3*j(k) + 8*s(k). -3*k + 1 Suppose 2*l = o - 3, -3*o + 5 = 3*l + 23. Let v(z) = -z + 3. Let f(s) = -5 + 6 + 2 + 958*s - 960*s + 0. Calculate o*f(u) + 4*v(u). 2*u + 3 Let r(m) be the second derivative of -1/2*m**3 + 1/2*m**2 + 0 - 28*m + 1/6*m**4. Let p(s) = s**2 + 2*s - 2*s - s**3. Determine -2*p(w) + r(w). 2*w**3 - 3*w + 1 Let l(u) = u**2. Let s(i) be the first derivative of -11*i**3/3 - i - 2780. Give -6*l(c) - s(c). 5*c**2 + 1 Let h(q) = 6*q**2 + q - 75. Let y(n) = 5*n**2 + 2*n - 97. What is -2*h(f) + 3*y(f)? 3*f**2 + 4*f - 141 Let d(r) = 7866*r**2 + 79*r + 5. Let v(a) = -3933*a**2 - 32*a - 2. Determine 2*d(h) + 5*v(h). -3933*h**2 - 2*h Let i(s) = 28*s**2 - 140*s + 7. Let m(v) = -33*v**2 + 139*v - 8. Calculate -7*i(t) - 6*m(t). 2*t**2 + 146*t - 1 Let q(w) = -2371*w**3 - 8*w**2 - 4. Let c(r) = 1403631*r**3 + 4734*r**2 + 2367. Calculate -4*c(k) - 2367*q(k). -2367*k**3 Let n(a) = -294*a**2 - 572*a - 602. Let f(v) = -33*v**2 - 66*v - 67. Give 52*f(l) - 6*n(l). 48*l**2 + 128 Let i be -19 - -22 - (1 - -4). Let b(j) = -5*j**2 + 15*j + 11. Let w(n) be the third derivative of n**5/60 - n**4/8 - n**3/3 + 1486*n**2. Give i*b(s) - 11*w(s). -s**2 + 3*s Let a(z) = 371*z**2 + 19*z + 61. Let c(s) = 372*s**2 + 19*s + 71. What is -7*a(i) + 6*c(i)? -365*i**2 - 19*i - 1 Let d(t) = -5*t - 3. Let q(l) = 7*l - 193. Let j(r) = -r + 39. Let z(g) = 5*j(g) + q(g). What is 3*d(c) + 5*z(c)? -5*c + 1 Let j(q) = 375*q + 56. Let h(r) = 1874*r + 309. What is 2*h(t) - 11*j(t)? -377*t + 2 Let p(o) = 102*o - 34. Let d(v) = 105*v - 33. What is 11*d(a) - 10*p(a)? 135*a - 23 Let v(g) = 20*g**3 + 13*g**2 - 13*g - 2450. Let d(i) = -9*i**3 - 6*i**2 + 6*i + 1225. Give -13*d(y) - 6*v(y). -3*y**3 - 1225 Let j(m) = 11*m**3 + 7*m**2 + 1615*m + 16. Let d(p) = -8*p**3 - 5*p**2 - 1076*p - 11. Calculate 7*d(l) + 5*j(l). -l**3 + 543*l + 3 Let f(i) = -1. Let n(z) = -2*z**3 + z**2 - 1. Suppose -t + 2*t = -22. Let g(s) = -s**2 - 20*s + 45. Let w be g(t). Determine w*f(d) - n(d). 2*d**3 - d**2 Let n(p) = 4*p. Let g(t) = -9*t - 6. Let a(b) = -8*b - 5. Let d(u) = 6*a(u) - 5*g(u). Let v(l) = -l**2 - 57*l + 674. Let w be v(10). Determine w*n(o) + 3*d(o). 7*o Let j(y) = 28*y**3 + 17*y**2 + 3*y + 6. Let d(u) = 26*u**3 + 16*u**2 + 4*u + 8. Calculate 3*d(o) - 4*j(o). -34*o**3 - 20*o**2 Let b(x) = 6*x**3 - 4*x**2 + 6*x - 7. Let w(j) = -18*j**3 + 14*j**2 - 17*j + 20. Calculate 17*b(s) + 6*w(s). -6*s**3 + 16*s**2 + 1 Let q(c) = -c**3 - c - 1. Let d(i) = -3*i**2 + 119*i - 1077. Let h be d(14). Let b(y) = -2*y**3 + 2*y**2 - 4*y - 12. Determine h*b(r) - 4*q(r). 2*r**3 + 2*r**2 - 8 Let m(p) = 13*p - 4. Let l(u) = -5*u - 9*u + 7 - 11*u + 0*u. Calculate 4*l(f) + 7*m(f). -9*f Let w(c) = 6*c - 6. Let r(k) = 11 - 25*k**2 + 24*k**2 + 11*k - 22*k. Let o = 4 + 7. Determine o*w(a) + 6*r(a). -6*a**2 Let b(t) = -232*t**2 + 325. Let s(y) = 165*y**2 - 217. What is 5*b(u) + 7*s(u)? -5*u**2 + 106 Let q(d) = -2*d**3 + 4*d**2 + 6*d - 4. Let z be q(3). Let w(p) = -10*p + 9. Let l(t) be the first derivative of -t**2/2 + t + 1. What is z*w(c) + 36*l(c)? 4*c Let t(k) = 17*k**2 - 2437*k + 63. Let g(d) = 4*d**2 - 609*d + 15. What is -13*g(v) + 3*t(v)? -v**2 + 606*v - 6 Let g(b) = -44*b + 79. Let r(d) = 18*d + 1. Calculate g(j) + 2*r(j). -8*j + 81 Let x(w) = -2*w**2 + 3*w. Let r = -10729 - -10731. Let k(s) be the first derivative of -34 + 0*s**r + 0*s + 1/3*s**3. Determine -4*k(c) - x(c). -2*c**2 - 3*c Let v(l) = 4*l**2 + 4*l. Suppose 0 = -16*u + 5*u + 55. Let o be (-3 + u)*(-20)/(-8). Let j(q) = -7*q**2 - 7*q + 1. Calculate o*v(n) + 3*j(n). -n**2 - n + 3 Let u(h) = 11*h**3 + 28*h**2 - 7*h + 95. Let w(t) = -6*t**3 - 15*t**2 + 4*t - 54. Determine 4*u(z) + 7*w(z). 2*z**3 + 7*z**2 + 2 Suppose 528 = -49*d - 127*d. Let w(u) = -10*u**2 + 3*u + 3. Let j(b) = -b**2 + b + 1. Calculate d*j(l) + w(l). -7*l**2 Let p(y) be the third derivative of -y**4/24 - 7*y**3/6 + y**2. Let f(v) = 3. Let i = 134 + -63. Let k = i + -66. Calculate k*f(h) + 2*p(h). -2*h + 1 Let i(g) be the second derivative of 3*g**5/5 + g**4/3 - 5*g**2/2 - 2299*g + 2. Let o(d) = -25*d**3 - 9*d**2 + 11. Give -9*i(s) - 4*o(s). -8*s**3 + 1 Let o(z) = 6 + 4*z - 7*z + 2*z + 0*z. Suppose 4*u + 56 = -10*u. Let s(q) = 5. What is u*s(f) + 3*o(f)? -3*f - 2 Let q(m) = -m - 19. Let k(d) = -286*d**3 - 9*d - 172. Determine -2*k(c) + 18*q(c). 572*c**3 + 2 Let q(b) = -92*b - 66. Let x(p) = 69*p + 50. What is 8*q(w) + 11*x(w)? 23*w + 22 Let i(y) = -14*y + 97. Let a(g) = g + 46. What is 2*a(z) - i(z)? 16*z - 5 Let x(q) = -4*q**3 - q**2 - 2*q - 10. Let o(y) = 32*y**2 + 9*y**3 + 5*y + 50*y**2 - 80*y**2 + 19. Determine -2*o(n) - 5*x(n). 2*n**3 + n**2 + 12 Let h(f) = -11*f**3 - 54*f**2 - 86*f. Let w(v) = -7*v**3 - 35*v**2 - 58*v. Give -5*h(r) + 8*w(r). -r**3 - 10*r**2 - 34*r Let q(i) = 2*i**3 + 7*i**2 + 4*i. Let b(u) = u**2 + u. Let x = 1749 - 1748. What is x*q(y) - 5*b(y)? 2*y**3 + 2*y**2 - y Let o(p) = -3*p**2 - p + 3. Let a(u) = 38*u**2 - 908*u - 34. What is -a(w) - 12*o(w)? -2*w**2 + 920*w - 2 Let g(l) be the second derivative of l**3/6 - l**2/2 + 9*l + 65. Let k(d) = 3*d**2 - 4*d. Calculate 6*g(i) + k(i). 3*i**2 + 2*i - 6 Let i be (6/7)/((-22 - -31) + 62/(-7)). Let n(q) = -10*q - 5. Let g(y) = 9*y + 4. Determine i*n(h) + 7*g(h). 3*h - 2 Suppose -58*f = -36*f - 110. Let g(l) = -9*l**2 - 2*l + 6. Let n(c) = 14*c**2 + 3*c - 9. Determine f*n(u) + 8*g(u). -2*u**2 - u + 3 Suppose -4*n = 4*a - 34 + 26, -30 = -5*a - n. Let p(l) = -31*l + 20*l + 12*l. Let d(h) = h - 1. What is a*p(i) - 6*d(i)? i + 6 Suppose -5*k + 111*m - 20 = 116*m, 2*m = -3*k - 5. Let n(a) = 145*a + 2. Let j(p) = 48*p + 1. What is k*n(q) - 8*j(q)? 51*q - 2 Let d(u) = -20*u + 1585. Let j(s) = 23*s - 1586. Determine -7*d(h) - 6*j(h). 2*h - 1579 Let f(g) = 51*g. Let r(y) be the second derivative of -y**2/2 - 5016*y. Give f(c) - 2*r(c). 51*c + 2 Let x(q) = -535*q - 163. Let a(p) = -67*p - 21. Calculate -17*a(c) + 2*x(c). 69*c + 31 Let o(f) = -4753*f + 2. Let w(r) = 56902898*r - 23945. Calculate -23945*o(a) - 2*w(a). 4789*a Let j(a) = 2*a**2 - 1 - 26815390*a + 26815394*a + 2*a**2 - 5*a**3. Let w(u) = -4*u**3 + 3*u**2 + 3*u. Give 3*j(k) - 4*w(k). k**3 - 3 Let b(l) = -22*l**3 + 13*l**2 - 77. Let k(c) = -5*c**3 + 3*c**2 - 17. Let v(i) = 2*b(i) - 9*k(i). Let r(x) = 8*x**3 + 4*x**2 + 4. What is 3*r(z) + 12*v(z)? 36*z**3 Let q(g) = 0*g + 4 - 5 + 0*g + g. Let x = 240 + -235. Let f(s) = -4*s**3 - 4*s + 4. Calculate x*q(j) + f(j). -4*j**3 + j - 1 Let f(p) = 371*p - 13. Let z(a) = -373*a + 9. Give 3*f(g) + 4*z(g). -379*g - 3 Let r(b) = 41*b**3 - 7*b - 3. Let u(k) be the second derivative of k**5 - k**3/2 - k**2/2 - 8962*k. Calculate 3*r(n) - 7*u(n). -17*n**3 - 2 Let l(w) = -15*w**2 - w + 15. Let z(p) = 32*p**2 + 2*p - 29. Calculate 9*l(t) + 4*z(t). -7*t**2 - t + 19 Let v(j) = -2*j + 11. Let b = 91 + -65. Suppose -b = -4*n - n - c, -n + 3*c = -18. Suppose 2*i - n = 4*i. Let x(p) = p - 5. Determine i*v(l) - 7*x(l). -l + 2 Let v(m) = 1. Suppose -3 = 4*a + 1, -7*a - 37 = 5*l. Let n(t) = -2*t + 10. What is l*v(y) + n(y)? -2*y + 4 Let w(z) = 6*z + 4. Let j(k) = 5*k + 3. Let t = 334 + -330. Let n(f) = t*w(f) - 5*j(f). Let q(l) = 4*l - 9. Determine 3*n(d) + q(d). d - 6 Let s(z) = 6*z**3 + 4*z**2 - 7*z + 5. Let q(o) = -2*o**3 + o**2 + 2*o. Determine 4*q(c) + s(c). -2*c**3 + 8*c**2 + c + 5 Let y(b) = 3*b - 3718. Let f(t) = -144. What is -4*f(v) + y(v)? 3*v - 3142 Let i(
{ "pile_set_name": "DM Mathematics" }
74 to the power of 1/4, to the nearest integer? 7 What is the cube root of 1395 to the nearest integer? 11 What is 1768 to the power of 1/2, to the nearest integer? 42 What is 11913 to the power of 1/10, to the nearest integer? 3 What is the third root of 2827 to the nearest integer? 14 What is 550 to the power of 1/2, to the nearest integer? 23 What is the square root of 2213 to the nearest integer? 47 What is the eighth root of 2100 to the nearest integer? 3 What is the cube root of 6224 to the nearest integer? 18 What is the fourth root of 6039 to the nearest integer? 9 What is the cube root of 54348 to the nearest integer? 38 What is 45616 to the power of 1/3, to the nearest integer? 36 What is the seventh root of 2213 to the nearest integer? 3 What is 8489 to the power of 1/3, to the nearest integer? 20 What is the cube root of 2074 to the nearest integer? 13 What is the third root of 650 to the nearest integer? 9 What is 10480 to the power of 1/5, to the nearest integer? 6 What is 6911 to the power of 1/3, to the nearest integer? 19 What is the fourth root of 3016 to the nearest integer? 7 What is 943 to the power of 1/7, to the nearest integer? 3 What is the cube root of 1595 to the nearest integer? 12 What is 26194 to the power of 1/2, to the nearest integer? 162 What is the seventh root of 549 to the nearest integer? 2 What is 14789 to the power of 1/6, to the nearest integer? 5 What is 167 to the power of 1/5, to the nearest integer? 3 What is the cube root of 377 to the nearest integer? 7 What is the fifth root of 2702 to the nearest integer? 5 What is 8830 to the power of 1/3, to the nearest integer? 21 What is the square root of 117746 to the nearest integer? 343 What is the third root of 954 to the nearest integer? 10 What is the third root of 1410 to the nearest integer? 11 What is 21534 to the power of 1/5, to the nearest integer? 7 What is 87709 to the power of 1/2, to the nearest integer? 296 What is 143357 to the power of 1/7, to the nearest integer? 5 What is the sixth root of 29579 to the nearest integer? 6 What is 71263 to the power of 1/2, to the nearest integer? 267 What is the ninth root of 148523 to the nearest integer? 4 What is the square root of 327 to the nearest integer? 18 What is the third root of 31735 to the nearest integer? 32 What is the square root of 2015 to the nearest integer? 45 What is 66042 to the power of 1/8, to the nearest integer? 4 What is the fifth root of 1838 to the nearest integer? 4 What is the square root of 13960 to the nearest integer? 118 What is the cube root of 4161 to the nearest integer? 16 What is the sixth root of 1093 to the nearest integer? 3 What is the sixth root of 563 to the nearest integer? 3 What is 4618 to the power of 1/9, to the nearest integer? 3 What is the cube root of 30069 to the nearest integer? 31 What is the third root of 17598 to the nearest integer? 26 What is the square root of 688 to the nearest integer? 26 What is 2626 to the power of 1/2, to the nearest integer? 51 What is the third root of 17223 to the nearest integer? 26 What is the cube root of 110 to the nearest integer? 5 What is 5335 to the power of 1/2, to the nearest integer? 73 What is 7868 to the power of 1/5, to the nearest integer? 6 What is the fourth root of 1156 to the nearest integer? 6 What is the third root of 2919 to the nearest integer? 14 What is 32 to the power of 1/6, to the nearest integer? 2 What is the third root of 10232 to the nearest integer? 22 What is the eighth root of 45267 to the nearest integer? 4 What is 73003 to the power of 1/10, to the nearest integer? 3 What is the square root of 972 to the nearest integer? 31 What is 118 to the power of 1/2, to the nearest integer? 11 What is 235 to the power of 1/6, to the nearest integer? 2 What is 21031 to the power of 1/3, to the nearest integer? 28 What is 833 to the power of 1/9, to the nearest integer? 2 What is 2980 to the power of 1/10, to the nearest integer? 2 What is 9470 to the power of 1/3, to the nearest integer? 21 What is the square root of 2001 to the nearest integer? 45 What is the fifth root of 41706 to the nearest integer? 8 What is 2191 to the power of 1/3, to the nearest integer? 13 What is the ninth root of 14370 to the nearest integer? 3 What is 2630 to the power of 1/2, to the nearest integer? 51 What is the sixth root of 6409 to the nearest integer? 4 What is 1574 to the power of 1/3, to the nearest integer? 12 What is 18498 to the power of 1/3, to the nearest integer? 26 What is 1775 to the power of 1/2, to the nearest integer? 42 What is 918 to the power of 1/2, to the nearest integer? 30 What is the sixth root of 146 to the nearest integer? 2 What is the cube root of 10475 to the nearest integer? 22 What is the third root of 7346 to the nearest integer? 19 What is 13699 to the power of 1/8, to the nearest integer? 3 What is 115773 to the power of 1/2, to the nearest integer? 340 What is the ninth root of 26736 to the nearest integer? 3 What is 2482 to the power of 1/2, to the nearest integer? 50 What is the tenth root of 5136 to the nearest integer? 2 What is the square root of 7238 to the nearest integer? 85 What is 312 to the power of 1/10, to the nearest integer? 2 What is the square root of 180 to the nearest integer? 13 What is the cube root of 141458 to the nearest integer? 52 What is the seventh root of 1351 to the nearest integer? 3 What is the cube root of 75979 to the nearest integer? 42 What is 132402 to the power of 1/2, to the nearest integer? 364 What is 10187 to the power of 1/7, to the nearest integer? 4 What is 84028 to the power of 1/10, to the nearest integer? 3 What is 12214 to the power of 1/2, to the nearest integer? 111 What is the fourth root of 28221 to the nearest integer? 13 What is the square root of 607 to the nearest integer? 25 What is 33868 to the power of 1/9, to the nearest integer? 3 What is the fourth root of 3371 to the nearest integer? 8 What is the square root of 20456 to the nearest integer? 143 What is the tenth root of 37316 to the nearest integer? 3 What is 77045 to the power of 1/2, to the nearest integer? 278 What is the square root of 258 to the nearest integer? 16 What is the square root of 2893 to the nearest integer? 54 What is 85868 to the power of 1/3, to the nearest integer? 44 What is the fifth root of 605 to the nearest integer? 4 What is the fifth root of 94515 to the nearest integer? 10 What is the eighth root of 13044 to the nearest integer? 3 What is the third root of 5276 to the nearest integer? 17 What is 12465 to the power of 1/2, to the nearest integer? 112 What is the square root of 1042 to the nearest integer? 32 What is the square root of 863 to the nearest integer? 29 What is the square root of 2962 to the nearest integer? 54 What is 12282 to the power of 1/2, to the nearest integer? 111 What is the eighth root of 4806 to the nearest integer? 3 What is the cube root of 77788 to the nearest integer? 43 What is the cube root of 7377 to the nearest integer? 19 What is the cube root of 14777 to the nearest integer? 25 What is the cube root of 2883 to the nearest integer? 14 What is the square root of 86573 to the nearest integer? 294 What is the fifth root of 8375 to the nearest integer? 6 What is the third root of 241 to the nearest integer? 6 What is the fourth root of 858 to the nearest integer? 5 What is the square root of 34615 to the nearest integer? 186 What is the eighth root of 1107 to the nearest integer? 2 What is the third root of 127778 to the nearest integer? 50 What is the eighth root of 19558 to the nearest integer? 3 What is the cube root of 32743 to the nearest integer? 32 What is the cube root of 10191 to the nearest integer? 22 What is the cube root of 102713 to the nearest integer? 47 What is the square root of 112 to the nearest integer? 11 What is 8180 to the power of 1/4, to the nearest integer? 10 What is the third root of 640 to the nearest integer? 9 What is the third root of 1494 to the nearest integer? 11 What is 2174 to the power of 1/2, to the nearest integer? 47 What is 794 to the power of 1/8, to the nearest integer? 2 What is 349 to the power of 1/10, to the nearest integer? 2 What is the third root of 1
{ "pile_set_name": "DM Mathematics" }
ext term in -132, -155, -182, -213, -248, -287? -330 What is next in -154, -307, -460, -613? -766 What comes next: 244, 539, 850, 1183, 1544, 1939? 2374 What comes next: 59, 125, 191? 257 What is next in 16, 55, 118, 205, 316, 451? 610 What is next in 4, 0, -6, -14? -24 What is next in 70, 69, 68, 67? 66 What is next in 2331, 4663, 6995, 9327, 11659? 13991 What comes next: -837, -812, -787? -762 What is the next term in 8, 41, 88, 155, 248, 373, 536, 743? 1000 What is next in -1245, -1244, -1243, -1242, -1241, -1240? -1239 What comes next: -69, -66, -63? -60 What is the next term in 1463, 2924, 4385? 5846 What is the next term in 12, 35, 58? 81 What comes next: 11, 113, 399, 959, 1883, 3261, 5183, 7739? 11019 What is next in -584, -586, -590, -596, -604, -614? -626 What comes next: 234, 255, 290, 339, 402, 479, 570? 675 What is the next term in 44, 93, 142, 191, 240? 289 What is the next term in -4, -13, -28, -49, -76, -109? -148 What is the next term in -30, -127, -288, -513, -802? -1155 What is the next term in 889, 890, 891, 892, 893, 894? 895 What is the next term in -70, -114, -156, -196, -234, -270? -304 What comes next: -270, -281, -306, -351, -422, -525, -666, -851? -1086 What comes next: -53, -128, -205, -284, -365? -448 What is the next term in 0, -8, -16, -24? -32 What is next in 531, 530, 529, 528, 527? 526 What is the next term in 1522, 2847, 4186, 5545, 6930, 8347? 9802 What is the next term in -42, -83, -122, -159? -194 What is next in 35, 501, 1761, 4211, 8247, 14265, 22661, 33831? 48171 What is next in -26, -34, -40, -38, -22, 14, 76? 170 What comes next: -88, -131, -244, -463, -824? -1363 What comes next: 83, 94, 111, 134? 163 What is the next term in 28, 35, 64, 127, 236? 403 What comes next: 468, 434, 378, 300, 200? 78 What is the next term in -307, -611, -911, -1207, -1499? -1787 What is the next term in -59, -53, -21, 49, 169? 351 What is the next term in -851, -841, -829, -815, -799? -781 What is next in 269, 268, 269, 272, 277, 284, 293? 304 What is next in 76, 69, 74, 97, 144, 221, 334, 489? 692 What is next in -368, -737, -1106, -1475, -1844, -2213? -2582 What comes next: -182, -168, -150, -128, -102, -72, -38? 0 What comes next: 146, 163, 180, 197, 214, 231? 248 What comes next: 4283, 4285, 4287, 4289? 4291 What is next in -301, -303, -305? -307 What comes next: 533, 520, 507, 494, 481? 468 What comes next: -14, -19, -24, -29, -34, -39? -44 What is the next term in 3103, 6209, 9315? 12421 What is the next term in 654, 671, 698, 735? 782 What is the next term in 46, 152, 322, 550, 830? 1156 What is the next term in -10, -54, -114, -178, -234, -270, -274, -234? -138 What comes next: -313, -1259, -2835, -5041, -7877, -11343, -15439? -20165 What is the next term in -156, -124, -50, 84, 296, 604, 1026, 1580? 2284 What is next in 785, 1585, 2387, 3191? 3997 What is next in -22197, -22199, -22213, -22245, -22301, -22387, -22509? -22673 What is the next term in 655, 656, 657, 658, 659, 660? 661 What is next in 58, 54, 50, 46? 42 What comes next: -81, -78, -89, -120, -177, -266, -393, -564? -785 What is the next term in -43, -87, -161, -265, -399? -563 What comes next: 34, 45, 48, 37, 6? -51 What is the next term in -142, -278, -414? -550 What is the next term in -163, -355, -581, -847, -1159? -1523 What comes next: -25, -36, -47, -58? -69 What comes next: -2096, -2098, -2100, -2102, -2104, -2106? -2108 What comes next: 46, 100, 200, 352, 562, 836, 1180? 1600 What is next in -113, -363, -741, -1241, -1857, -2583? -3413 What is next in 261, 278, 277, 252, 197? 106 What is the next term in 405, 404, 401, 396, 389, 380, 369? 356 What is the next term in -41, -53, -71, -95, -125, -161, -203? -251 What comes next: 3, 14, 29, 48, 71, 98, 129? 164 What is next in 38, 306, 1032, 2444, 4770, 8238? 13076 What comes next: -37, -55, -109, -217, -397, -667, -1045, -1549? -2197 What comes next: 44388, 44386, 44384, 44382, 44380? 44378 What comes next: -436, -438, -440, -442? -444 What comes next: -1139, -1144, -1147, -1148, -1147, -1144, -1139? -1132 What comes next: 26, 66, 118, 188, 282, 406? 566 What comes next: -73, -104, -133, -160, -185? -208 What comes next: -51, -48, -35, -6, 45, 124, 237? 390 What comes next: -59, -93, -135, -185? -243 What comes next: 25, -55, -195, -401, -679, -1035, -1475, -2005? -2631 What is next in 402, 406, 414, 426, 442, 462, 486? 514 What is the next term in 215, 230, 261, 314, 395, 510, 665? 866 What is next in 101, 203, 305, 407? 509 What is next in -3608, -3614, -3622, -3632, -3644, -3658, -3674? -3692 What is the next term in -142, -291, -440, -589? -738 What comes next: 137, 1083, 3649, 8645, 16881, 29167? 46313 What comes next: 206, 201, 196? 191 What is next in 15, 35, 59, 87, 119, 155, 195? 239 What is the next term in -139, -272, -405, -538? -671 What comes next: 11544, 11542, 11540, 11538, 11536, 11534? 11532 What is next in 276, 279, 282, 285? 288 What is next in 10856, 10862, 10878, 10910, 10964, 11046, 11162, 11318? 11520 What comes next: 408, 821, 1234, 1647? 2060 What comes next: -102, -224, -376, -570, -818, -1132, -1524? -2006 What is the next term in 833, 1687, 2539, 3389? 4237 What is next in 956, 940, 904, 842, 748, 616, 440, 214? -68 What is next in 55, 96, 147, 214, 303, 420? 571 What comes next: -54, -8, 68, 174, 310, 476, 672? 898 What is the next term in 107, 213, 319? 425 What is the next term in -24, -23, -22, -21, -20, -19? -18 What is next in -7, -46, -109, -196, -307, -442, -601? -784 What is the next term in -24, -73, -136, -219, -328, -469? -648 What is next in -25, 1, 45, 107? 187 What is next in -2505, -2507, -2509? -2511 What is the next term in 722, 724, 726, 728? 730 What is the next term in 2, -1, -2, -1? 2 What is the next term in 4527, 9056, 13585? 18114 What comes next: 251, 256, 261, 266, 271? 276 What is next in 79, 145, 199, 235, 247, 229, 175? 79 What comes next: 17, -23, -67, -115? -167 What comes next: -27, -28, -29, -30, -31? -32 What is next in -3, -44, -89, -138, -191, -248, -309? -374 What comes next: 34, 92, 170, 262, 362? 464 What is next in -51, -93, -133, -171? -207 What is the next term in 53, 66, 93, 140, 213, 318? 461 What is next in 4012, 4009, 4004, 3997, 3988? 3977 What is next in 38, 102, 170, 242? 318 What is the next term in -30, -93, -186, -309, -462, -645? -858 What comes next: -161, -330, -499, -668? -837 What comes next: 112, 112, 102, 76, 28, -48? -158 What is next in -203, -190, -177? -164 What is next in 36, 73, 110? 147 What comes next: -176, -169, -164, -161? -160 What is next in -2253, -2252, -2249, -2244, -2237, -2228, -2217? -2204 What comes next: 399, 796, 1191, 1584? 1975 What is the next term in 10, 42, 104, 202, 342, 530, 772, 1074? 1442 What comes next: -9108, -9107, -9106, -9105? -9104 What comes next: 2, -4, -18, -40, -70, -108, -154? -208 What is the next term in 172, 343, 514? 685 What comes next: -39, -79, -119? -159 What is next in -450, -901, -1354, -1809, -2266? -2725 What is the next term in -14257, -14258, -14259? -14260 What is next in 46, 66, 102, 166, 270, 426, 646, 942? 1326 What is the next term in 2363, 4724, 7085? 9446 What is next in -186, -749, -1688, -3003, -4694, -6761, -9204? -12023 What comes next: -3020, -3031, -3042? -3053 What comes next: 52, 90, 190, 382, 696? 1162 What is the next term in 4, 6, 8, 10, 12, 14? 16 What comes next: -80, -143, -206, -269, -332? -395 What is next in 1455, 1464, 1473, 1482, 1491? 1500 What is next in 1437, 1436, 1435? 1434 What is next in 56, 58, 68, 92, 136, 206, 308? 448 What is next in 11, 24, 37, 44, 39, 16, -31, -108? -221 What comes next: 5, -8, -29, -58, -95? -140 What comes next: 71, 80, 89, 98, 107, 116? 125 What is the next term in -3, -34, -125, -306, -607, -1058, -1689? -2530 What is the next term in 19, 44, 81, 136, 215, 324? 469 What is the next term in 740, 1481, 2224, 2969, 3716, 4465, 5216? 5969 What is next in -5, -14, -35, -74, -137, -230? -359 What is the next term in -13, -21, -29, -37? -45 What is the next term in -613, -1234, -1857, -2482, -3109, -3738? -4369 What is the next term in -5, -26, -63, -122, -209, -330? -491 What is next in -2843, -5674, -8491, -11288, -14059, -16798, -19499? -22156 What is the next term in 3263, 3265, 3269, 3275?
{ "pile_set_name": "DM Mathematics" }
14500 What is 78950.35 litres in millilitres? 78950350 What is 3.148127 decades in millennia? 0.03148127 Convert 545798.3 tonnes to micrograms. 545798300000000000 How many millilitres are there in 8/25 of a litre? 320 What is 0.1498859 micrometers in centimeters? 0.00001498859 How many litres are there in 658.0167ml? 0.6580167 What is 1.431569 micrograms in milligrams? 0.001431569 What is 100934.94 months in millennia? 8.411245 How many micrometers are there in 6/25 of a millimeter? 240 How many millilitres are there in 67/4 of a litre? 16750 How many hours are there in twenty-five quarters of a week? 1050 What is 4/3 of a hour in seconds? 4800 How many centimeters are there in 0.9860773 millimeters? 0.09860773 What is three fifths of a millimeter in micrometers? 600 Convert 103007.2um to meters. 0.1030072 What is 0.6935154 centuries in months? 832.21848 What is twenty-six fifths of a litre in millilitres? 5200 What is 2311.473g in micrograms? 2311473000 How many litres are there in 3976.917ml? 3.976917 How many millilitres are there in 6/5 of a litre? 1200 What is 3/8 of a microgram in nanograms? 375 Convert 4880.16 nanograms to micrograms. 4.88016 What is twenty-nine fifths of a century in years? 580 What is 28/3 of a century in months? 11200 How many months are there in 0.6157848 millennia? 7389.4176 What is thirteen quarters of a gram in milligrams? 3250 Convert 15160.1ml to litres. 15.1601 What is one twentieth of a tonne in kilograms? 50 How many decades are there in 410899.6 years? 41089.96 What is 6383.335ml in litres? 6.383335 What is 3/40 of a second in milliseconds? 75 How many meters are there in 0.5974004km? 597.4004 How many days are there in 0.6142434 weeks? 4.2997038 Convert 455322.2 nanometers to millimeters. 0.4553222 How many years are there in 25/4 of a century? 625 What is 0.7427546 tonnes in micrograms? 742754600000 How many centimeters are there in twenty-five quarters of a meter? 625 How many micrograms are there in five eighths of a milligram? 625 What is 0.0628601ml in litres? 0.0000628601 What is 0.9255277 micrometers in millimeters? 0.0009255277 How many millilitres are there in 3/5 of a litre? 600 How many minutes are there in 208.28778 seconds? 3.471463 What is 426344.73 hours in weeks? 2537.76625 What is 495629.3 micrometers in nanometers? 495629300 What is 7/4 of a meter in centimeters? 175 Convert 9202.804ml to litres. 9.202804 How many millilitres are there in 3/25 of a litre? 120 What is 435.022 centuries in years? 43502.2 How many micrometers are there in 6.354676 meters? 6354676 Convert 40116.69 weeks to nanoseconds. 24262574112000000000 What is 18.1197mg in kilograms? 0.0000181197 How many nanoseconds are there in 25.39971 minutes? 1523982600000 What is 767299.1 hours in minutes? 46037946 What is one quarter of a litre in millilitres? 250 What is thirteen fifths of a meter in centimeters? 260 Convert 1707.434 millilitres to litres. 1.707434 How many micrograms are there in 55/4 of a milligram? 13750 What is 0.4280263 decades in millennia? 0.004280263 How many micrograms are there in fourty-one halves of a milligram? 20500 How many grams are there in 67.17677 micrograms? 0.00006717677 What is 149.8736 centuries in decades? 1498.736 Convert 9872.022 litres to millilitres. 9872022 How many micrograms are there in 87.6311t? 87631100000000 What is ten thirds of a century in months? 4000 How many kilograms are there in 76275.5t? 76275500 How many milliseconds are there in 73.11686 microseconds? 0.07311686 How many kilometers are there in 6220.353um? 0.000006220353 How many centimeters are there in 61/2 of a meter? 3050 How many months are there in ten thirds of a millennium? 40000 What is six fifths of a millennium in centuries? 12 How many micrometers are there in three tenths of a millimeter? 300 How many years are there in 21/4 of a century? 525 What is 283.9131 litres in millilitres? 283913.1 How many millimeters are there in 13/5 of a meter? 2600 What is 1/9 of a week in seconds? 67200 How many litres are there in 9.955192ml? 0.009955192 Convert 333.2944 microseconds to milliseconds. 0.3332944 How many centimeters are there in eleven tenths of a meter? 110 What is 971.0345ml in litres? 0.9710345 Convert 0.8440277ml to litres. 0.0008440277 What is 59323.32ml in litres? 59.32332 What is 14718.88 litres in millilitres? 14718880 What is one fifth of a microgram in nanograms? 200 What is 31472.43m in kilometers? 31.47243 What is 1.02402 litres in millilitres? 1024.02 Convert 960674.4 hours to seconds. 3458427840 What is three tenths of a micrometer in nanometers? 300 What is 591.8543 meters in millimeters? 591854.3 What is thirty-seven fifths of a milligram in micrograms? 7400 What is 6/5 of a meter in millimeters? 1200 What is eighteen fifths of a decade in months? 432 What is twenty-one fifths of a litre in millilitres? 4200 What is 8.83755 millimeters in meters? 0.00883755 Convert 942.3635 decades to months. 113083.62 How many kilograms are there in 726468.4 milligrams? 0.7264684 How many tonnes are there in 4.414663g? 0.000004414663 Convert 0.7623715ml to litres. 0.0007623715 How many weeks are there in 79273.6686 milliseconds? 0.0001310741875 How many micrometers are there in nine tenths of a millimeter? 900 Convert 56.5432 nanoseconds to seconds. 0.0000000565432 What is one fifth of a tonne in kilograms? 200 What is 17/2 of a second in milliseconds? 8500 Convert 0.6532683 years to millennia. 0.0006532683 How many nanoseconds are there in 15/4 of a microsecond? 3750 Convert 0.5331123 centuries to decades. 5.331123 How many months are there in 9883.421 millennia? 118601052 What is sixty-seven thirds of a hour in seconds? 80400 Convert 4.123453 millilitres to litres. 0.004123453 How many micrometers are there in 796.654 millimeters? 796654 How many days are there in 1249.02594ms? 0.00001445631875 What is 5.185422l in millilitres? 5185.422 How many seconds are there in three eighths of a hour? 1350 How many decades are there in 3/25 of a millennium? 12 What is 0.7087655 years in millennia? 0.0007087655 How many nanograms are there in 205642.5kg? 205642500000000000 What is 11/8 of a millennium in years? 1375 Convert 9.508103 centuries to decades. 95.08103 What is 3/16 of a minute in milliseconds? 11250 How many milligrams are there in fourty-six fifths of a gram? 9200 How many litres are there in 0.3557334 millilitres? 0.0003557334 How many kilograms are there in 45/4 of a tonne? 11250 How many seconds are there in 31.52648 milliseconds? 0.03152648 What is 7.888214 nanometers in kilometers? 0.000000000007888214 How many micrograms are there in 3/50 of a milligram? 60 What is 1/10 of a litre in millilitres? 100 Convert 243.2297 microseconds to seconds. 0.0002432297 Convert 8509.161 years to decades. 850.9161 What is 48/5 of a micrometer in nanometers? 9600 How many centimeters are there in one fifth of a meter? 20 How many centimeters are there in 0.214271 kilometers? 21427.1 How many months are there in 3/5 of a decade? 72 What is 67.3135l in millilitres? 67313.5 What is 133779.24 days in weeks? 19111.32 What is 5241.587 centimeters in nanometers? 52415870000 Convert 3.060586t to milligrams. 3060586000 What is 8.050056 months in millennia? 0.000670838 Convert 0.5920362 weeks to hours. 99.4620816 How many millennia are there in 0.9985182 centuries? 0.09985182 How many meters are there in 11/2 of a kilometer? 5500 What is 57/5 of a microgram in nanograms? 11400 What is 3/40 of a gram in milligrams? 75 How many millilitres are there in twenty-one eighths of a litre? 2625 What is seven quarters of a tonne in kilograms? 1750 Convert 571.4872 weeks to seconds. 345635458.56 How many micrograms are there in 194.2754kg? 194275400000 What is seven quarters of a meter in centimeters? 175 How many millilitres are there in seventy-five halves of a litre? 37500 How many hours are there in one quarter of a week? 42 Convert 0.236104 decades to millennia. 0.00236104 How many years are there in 19170.024 months? 1597.502 How many millilitres are there in seven halves of a litre? 3500 What is 29/2 of a tonne in kilograms? 14500 How many millennia are there in 2840.4198 months? 0.23670165 Convert 0.9305606 millilitres to lit
{ "pile_set_name": "DM Mathematics" }
remainder when 22 is divided by b? 6 Let g(p) = p**3 + 6*p**2 + 7*p - 1. Let o be g(-4). What is the remainder when (36/(-8))/o*(-4 - 66) is divided by 53? 52 Suppose 2*u + 0*c - 5*c - 290 = 0, 3*u = 4*c + 421. Calculate the remainder when u - (-4 - 0 - -3) is divided by 46. 44 Let m = 63 + -38. Let r = 17 + -19. Calculate the remainder when m is divided by 22/(-4)*r - 2. 7 Suppose 3*w - h = -6*h + 21, -4*w - h + 45 = 0. Suppose 0 = -3*n + 20 - 8. Calculate the remainder when w is divided by n. 0 Suppose 0*x - 4*x + 304 = 4*k, 0 = 5*x. What is the remainder when 834 is divided by k? 74 Suppose 2*z - 94 - 56 = y, -2*z = 4*y - 140. Calculate the remainder when 212 is divided by z. 64 Suppose -253 = -2*q + 579. Calculate the remainder when q is divided by 19. 17 Let f = -1350 + 1360. Calculate the remainder when ((-44)/(-8))/((-1)/(-18)) is divided by f. 9 Suppose 5 = -4*u + 17. Let q = -11 - -22. What is the remainder when q is divided by u? 2 Let f = 129 + -72. Let p = 87 - f. Calculate the remainder when p is divided by 8. 6 Suppose -10 - 10 = -5*h, 5*a - 4*h + 6 = 0. Suppose 31 - 5 = a*c. Suppose 3*j = 58 - c. What is the remainder when 44 is divided by j? 14 Let k = -11 - -92. Let z = -16 - -37. Calculate the remainder when k is divided by z. 18 Let p = 1016 + -767. What is the remainder when p is divided by ((-8)/2)/((-4)/42)? 39 What is the remainder when 43 is divided by ((-330)/132)/(1/(-4))? 3 Let u(h) = -26*h - 11. Let p be u(-4). Let c = -70 + p. What is the remainder when c is divided by 4? 3 Let z(l) = -l**3 + 14*l**2 + 3*l + 6. Let d be z(13). Suppose m - 235 = -d. What is the remainder when 81 is divided by m? 18 Let j(f) = -6*f - 16. Let o be j(-4). Suppose 6*y - 64 = o. Calculate the remainder when 23 is divided by y. 11 Calculate the remainder when (36/(-30))/((-18)/14430) is divided by 9. 8 Suppose 5 - 4 = z. Calculate the remainder when (z/2)/(2/(-4)) + 24 is divided by 12. 11 Calculate the remainder when 19*1*-4*8/(-16) is divided by 13/5*20/4. 12 Let l = 191 - 124. Suppose -5*a - 2*f + 0*f = -80, -5*f = 3*a - l. Calculate the remainder when 54 is divided by a. 12 Let p(t) = 4*t - 1. Let f be p(1). Suppose -4*h + 17 + f = 0. What is the remainder when -7*(-1 + 1 - 1) is divided by h? 2 Suppose 27*a - 128 + 20 = 0. What is the remainder when 27 is divided by a? 3 Let n(b) = 2*b + 9. Let r be n(-6). Let l = r - -9. Suppose -3*h + 3 = -3. Calculate the remainder when l is divided by h. 0 Let r be -3*(-3 - (-4)/3). Suppose -56 = -r*l + 49. Let z = 30 - l. What is the remainder when 24 is divided by z? 6 Suppose -121*b = -105*b - 208. What is the remainder when 116 is divided by b? 12 Let d be (-64713)/(-121) - 4/(-22). Suppose -2*s + 7*s = -5*u + d, 5*u - 559 = 3*s. Calculate the remainder when u is divided by 37. 36 Let v(a) = -a**2 + a + 13. Let p(m) = -2*m**2 + 2*m + 26. Let c(q) = 3*p(q) - 5*v(q). What is the remainder when 1*5/2*20 is divided by c(0)? 11 Let w = 32 + -39. Let q(n) = 3*n + 26. What is the remainder when 19 is divided by q(w)? 4 Suppose 3*o - g - 3*g - 16 = 0, -5*o - 16 = 4*g. Suppose -4*y = 16, o = 3*b - 0*b + 5*y + 11. Let j = -3 - -13. What is the remainder when j is divided by b? 1 Let h = 13 - -41. What is the remainder when 107 is divided by h? 53 Let g = -488 - -884. Suppose -s + g = 5*s. What is the remainder when s is divided by 17? 15 Let j = 19 + -22. What is the remainder when (j/3)/1*171/(-3) is divided by 29? 28 Let x = 25 + -29. Calculate the remainder when -1 + 1 + 2 - -45 is divided by x/18 + (-330)/(-27). 11 Suppose -2*x + 3*n + 0 - 27 = 0, 0 = -4*n + 12. Let y = 0 - x. What is the remainder when y is divided by 3? 0 Suppose 22 = 4*l - 10. Let a be 20*-12*(-4)/l. Let b = -80 + a. Calculate the remainder when b is divided by 14. 12 Let u(v) = -v**2 + 7*v + 20. Let l be u(9). Suppose l*k - 10 = -4*a - 0, 3*k + 4*a = 21. What is the remainder when k*(-3 + 1 + 3) is divided by 6? 5 Suppose v - 133 = -5*b - 3*v, -4*b + 94 = -3*v. What is the remainder when 990/21 - (-2)/(-14) is divided by b? 22 Suppose -3*i - 2*o = 220, -i = 5*o - 3 + 85. Let b = i - -137. Suppose 3*x - b = -2*g, -2*x - 68 = -2*g - 6*x. Calculate the remainder when 109 is divided by g. 25 Suppose -5*v + 3*v = 520. Let s = v + 379. Suppose 4*o = s + 1. What is the remainder when o is divided by 11? 8 Suppose 2*m + v - 39 = -0*v, -3*m = -3*v - 54. Let u = m + -9. What is the remainder when u is divided by 3? 1 Suppose 325 + 35 = 8*m. What is the remainder when m is divided by 23? 22 Let a be 20/6*12/8. Suppose -j + a*j = -2*i - 10, 5*j + 20 = 0. Suppose b = -i*p + 13, -3*b - 3*p + 16 + 17 = 0. Calculate the remainder when b is divided by 6. 4 Suppose 88 = -4*u - 264. Let v be (-18)/22 + 16/u. What is the remainder when 50 is divided by (-1 - 55)/(-4) + v? 11 Let o(j) = -6*j + 2. What is the remainder when o(-5) is divided by (-2*3/(-12))/((-9)/(-306))? 15 Let b = 426 - 394. What is the remainder when b is divided by 12? 8 Suppose 3*p = 2*m - 7*m + 25, 0 = -4*m - 5*p + 33. What is the remainder when m*8*4/24*36 is divided by 14? 12 Suppose 3*j - 36 - 3 = 0. Let y(d) = -d**3 + 14*d**2 + 27*d + 114. What is the remainder when y(16) is divided by j? 8 Let z = -49 - -42. What is the remainder when z/(28/(-272)) + (-1 - 1) is divided by 17? 15 Let h(u) be the first derivative of 2*u**3/3 + 15*u**2/2 + 4*u - 32. Calculate the remainder when h(-10) is divided by 28. 26 Suppose 12*l - 128 = 220. Calculate the remainder when 478 is divided by l. 14 Let c be 4/3*33/22. Let j be c + 0/4 + 0. Suppose j*a = 5 + 21. Calculate the remainder when a is divided by 5. 3 Let p(t) = 4*t - 36. Let j(a) = -5*a + 35. Let s(n) = -3*j(n) - 4*p(n). Calculate the remainder when 47 is divided by s(22). 13 Suppose -4*l + 230 = l. What is the remainder when -18 + 191 + (14/(-4))/((-10)/20) is divided by l? 42 Let t = 630 + -626. Suppose -v - 2*v + 108 = 0. Calculate the remainder when v is divided by t. 0 Calculate the remainder when 2/(-9) - (-281)/9 is divided by 12. 7 Let b(h) = -20*h**3 - 2*h**2 + 2*h. Let w be b(-3). Suppose 0 = -14*t + 8*t + w. What is the remainder when t is divided by 8? 6 Let t(h) = 2 + h**2 + 3*h + 1 - 8*h. Let z(y) = -y**3 - 3*y**2 + y - 39. Let m be z(-5). Calculate the remainder when 17 is divided by t(m). 8 Suppose 0 = 3*f - 4 - 14. Suppose -3*j = -f*j + 87. Suppose 0 = 5*r + 2*r - 112. Calculate the remainder when j is divided by r. 13 Let a be (8/10)/((-4)/(-170)). Let n(t) = a*t**3 + t**2 - 1 + 3*t**2 - 2*t**2. Calculate the remainder when n(1) is divided by 9. 8 Suppose 4*c - 172 = -4. Let y(a) = 7*a + 8. What is the remainder when c is divided by y(2)? 20 Suppose -2*g = -4*q + 116, -3*g + 5 = q - 10. Calculate the remainder when 56 is divided by q. 2 Suppose 0 = -n - 10*n + 264. Suppose -3*u = -n + 12. Calculate the remainder when 5 is divided by u. 1 Let y(k) = 1231 - k - 1231. Suppose -5*z + 20 = -5*v, 3*v + 9 = -z + 1. Calculate the remainder when 7 is divided by y(v). 1 Suppose 0 = y + z - 45, -104 = -5*y - z + 105. What is the remainder when 186 is divided by y? 22 Suppose -186 = -5*f - 2*w, -1 + 22 = f - 5*w. Suppose -63 - 51 = -6*d. Calculate the remainder when f is divided by d. 17 Let z(v) = -2*v - 40. Let j be z(6). Let s = j + 175. Calculate the remainder when s is divided by 31. 30 Let a = 0 + 2. Let c be (1 - 2)*-1*294/42. Suppose a*o - c*o = -210. What is the remainder when o is divided by 23? 19 Suppose -1 - 11 = -3*f, -841 = -5*b - 4*f. What is the remainder when b is divided by 34? 29 Let w(j) be the third derivative of 13*j**4/12 - 5*j**3 - 40*j**2. Calculate the remainder when 238 is divided by w(3). 46 Let q = 321 - 291. Calculate the remainder when 65 is divided by q. 5 Let d(k) be the first derivative of 2*k**3/3 - 6*k**2 + 22*k + 23. Calculate the remainder when 177 is divided by d(7). 33 Suppose -4*y = -34 + 2. Suppose -32*i + 10*i = -682. Calculate the remainder when i is divided by y. 7 Suppose 0 = 116*p - 115730 + 45318. What is the remainder when p is divided by 16? 15 Let l = 117 + 40. Let d = 25 - -15. What is the remainder when l is divided by d? 37 Suppose 3*y - 6 = -2*z, -4 = -2*y + z - 0*z. Suppose 151 = 5*r - 0*i - y*i, 5*r = 3*i + 149. What is the remainder when r is divided by 9? 4 Let
{ "pile_set_name": "DM Mathematics" }
Let d(t) = 5*t**2 + 6*t + 8. What is 5*d(o) - 6*u(o)? -5*o**2 - 2 Let h(t) be the first derivative of 2*t + 0 + t + 6 + t**2 - 5*t. Let q(a) = -3*a + 3. Let x(c) = -c + 7. Let v be x(0). What is v*h(d) + 4*q(d)? 2*d - 2 Let h(m) be the third derivative of -7*m**5/60 + 5*m**3/6 + m**2. Let l(u) be the first derivative of h(u). Let x(a) = -9*a. Give -5*l(n) + 8*x(n). -2*n Let k(g) = 4*g - 11. Let z(y) = y + 1. Calculate k(b) - 3*z(b). b - 14 Let q(u) = -3*u + 2. Let z(y) = -3*y + 2. Let h(a) = -2*q(a) + 3*z(a). Let b(k) = -3 + k**2 + 0 + 10*k - 3 - 2*k**2. Calculate -2*b(i) - 7*h(i). 2*i**2 + i - 2 Let w(n) = 1 - 1 + n. Let p(s) = -4*s. Suppose t - 10 = 4*j, 4 = -2*j + 5*j + 5*t. What is j*w(i) - p(i)? 2*i Let p(z) = -5*z**2 - 3*z - 3. Let n(b) = -24*b**2 - 16*b - 16. Determine 3*n(r) - 16*p(r). 8*r**2 Let x(w) = w**2 + 3. Let f(o) = 4*o**2 + o + 13. Calculate 2*f(z) - 9*x(z). -z**2 + 2*z - 1 Let h(z) = 6*z**3 + 2*z**2 - 2*z - 2. Let c(j) = j**3 + j**2 - j - 1. Give 2*c(t) - h(t). -4*t**3 Let r(u) = -u**3 - u. Let j(m) = 2*m**3 - 2*m**2 + 6*m. Calculate -j(p) - 5*r(p). 3*p**3 + 2*p**2 - p Let m(t) = 2*t + 3. Suppose 5*y + 6 - 2 = -2*f, 2 = -f + y. Let w(h) = 2*h + 2. What is f*w(p) + 3*m(p)? 2*p + 5 Let d(x) = -21*x + 9. Let c(k) be the third derivative of 5*k**4/24 - k**3/3 + 12*k**2. Determine 9*c(j) + 2*d(j). 3*j Let w be -1 + -1 + (-4 + -3)/(-7). Let g(b) = -5*b**3 + 4*b**2 - 4*b + 4. Let c(p) = -p**3 + p**2 - p + 1. Determine w*g(v) + 4*c(v). v**3 Let p(l) = 5*l - 2. Let w(h) = -4*h + 3. What is -3*p(v) - 4*w(v)? v - 6 Let s(g) = -6*g**2 + 3*g - 1. Let i = -16 + 41. Let b(y) = -23*y - 2 - 5*y**2 + 1 + i*y. Give 5*b(m) - 4*s(m). -m**2 - 2*m - 1 Let o(t) = 9*t**3 + 14*t**2 - 9*t. Let w(i) = 4*i**3 + 7*i**2 - 4*i. What is -3*o(g) + 7*w(g)? g**3 + 7*g**2 - g Let r(y) = -y. Let u(s) be the third derivative of 1/3*s**3 + 1/4*s**4 + 0 + 0*s - 3*s**2. Determine 4*r(z) + u(z). 2*z + 2 Let w(b) = -2*b**2 - 4*b + 2. Suppose 7 = 6*p - 5. Let y(o) be the second derivative of o - 1/12*o**4 + 0*o**p - 1/6*o**3 + 0. Determine -w(s) + 4*y(s). -2*s**2 - 2 Let x(m) = -m - 60. Let o(r) = 3*r + 179. What is -6*o(y) - 17*x(y)? -y - 54 Let p = 2 + 1. Let z(q) = -3*q + 3*q - p*q. Let k(j) = -2*j. Suppose 17*w - 21*w - 20 = 0. What is w*k(h) + 3*z(h)? h Let w(f) be the first derivative of -7 - 2*f - 1 + 3*f + 5. Let b(g) be the third derivative of g**4/12 + g**3/2 + g**2. Calculate b(t) - 5*w(t). 2*t - 2 Let q(f) = -3*f**2 + 5. Let c(g) = -4*g**2 + 8. Determine 5*c(h) - 8*q(h). 4*h**2 Let k(b) = b + 7 - 6 + 0*b. Let l(z) = 3*z - 1 - z + 4 + z**3. Let o(a) = a**3 + a**2 + 1. Let j be o(0). What is j*l(r) - 2*k(r)? r**3 + 1 Let o(m) = 4*m + 50. Let a(g) = -2*g - 25. Calculate 5*a(q) + 3*o(q). 2*q + 25 Let x = -1 - 5. Let t(p) = -4*p**3 + 3*p**2 + 5*p + 5. Let j be (0 - 1)/((-22)/110). Let n(z) = -5*z**3 + 4*z**2 + 6*z + 6. Calculate j*n(i) + x*t(i). -i**3 + 2*i**2 Let u(g) = 3*g**3 - 5*g**2 - 6. Let s(d) = -6*d**3 + 9*d**2 + 11. What is -3*s(l) - 5*u(l)? 3*l**3 - 2*l**2 - 3 Let c(q) = 6*q**2 - 11*q + 8. Let b(m) = 4*m + 2 - m + 3*m. Let g be b(1). Let v(u) = 4*u**2 - 7*u + 5. Determine g*v(s) - 5*c(s). 2*s**2 - s Let p(l) = 4*l. Let r(h) = h - h + 3*h. Let v(g) = g - 2. Let k be v(-3). Let c be 87/12 + (-2)/8. What is c*r(s) + k*p(s)? s Let c(s) = -2*s**3 - 3*s**2 + 2*s - 4. Let g(d) = -4*d**3 - 7*d**2 + 4*d - 9. Calculate -9*c(t) + 4*g(t). 2*t**3 - t**2 - 2*t Let k(b) be the first derivative of 5*b**3/3 + 7*b**2/2 - 8*b + 3. Let o(m) = -4*m**2 - 6*m + 7. What is -5*k(s) - 6*o(s)? -s**2 + s - 2 Let x(c) = 8*c + 4. Let v(z) = z**2 - z + 1. Let j(o) = -3*v(o) - x(o). Let y(t) = 4*t**2 + 7*t + 10. Determine 7*j(h) + 5*y(h). -h**2 + 1 Let y(l) = -3*l**2. Let p(v) = 10*v**2. Let d(g) = -10*g - 6. Let k be d(-2). Give k*y(z) + 4*p(z). -2*z**2 Let g(o) = o**2 - o + 7. Let j(q) = q**2 - 2*q + 6. What is -3*g(w) + 4*j(w)? w**2 - 5*w + 3 Let r(h) = -3*h**3 - 2*h**2 - 5*h. Let i(z) = 3*z - 2*z + 4*z**3 - 3*z**3. Suppose -2*q - 8 = -0*q. Calculate q*i(p) - r(p). -p**3 + 2*p**2 + p Let i(x) = -14*x**2 - 4. Let w(n) = 4*n**2 + 1. Let l(z) = -5*i(z) - 16*w(z). Let j(p) = 12*p**2 + 9. What is -4*j(c) + 9*l(c)? 6*c**2 Let f(g) = -32*g - 4. Let t(n) = -287*n - 35. What is -35*f(d) + 4*t(d)? -28*d Let a(q) = -4*q - 7. Let f(m) be the second derivative of m**3/6 + m**2/2 - 6*m. Calculate a(w) + 5*f(w). w - 2 Let i(m) = -m**2 + 3*m + 2. Let j(k) = k**2 + 1. Let d(f) = -i(f) - 3*j(f). Let q = 0 - -1. Let n(h) = -h - 1. What is q*d(l) - 4*n(l)? -2*l**2 + l - 1 Let c(y) = y**2 + 1. Let s(u) = -u**2 + u + 17. Let g be s(-4). Suppose 6*j = 2*j. Let z(q) = -2*q + 1 - 4*q**2 + j*q - 5. Give g*c(v) - z(v). v**2 + 2*v + 1 Let h(f) = -5*f - 1. Let m(r) = -r + 6. Let z be m(14). Let v(j) = 14*j + 3. Determine z*h(g) - 3*v(g). -2*g - 1 Let x(h) = 1. Let j(f) = -4*f - 13. Let g(n) = -7*n - 25. Let s(z) = 6*g(z) - 11*j(z). Calculate s(w) + 5*x(w). 2*w - 2 Let g(t) = 288*t**2 + 12*t. Let y(c) = 115*c**2 + 5*c. Calculate -5*g(w) + 12*y(w). -60*w**2 Let u = 17 - 20. Let j(w) = -w - 1. Let x(a) = 7*a + 5. Let i(v) = -8*v - 6. Let q(o) = 2*i(o) + 3*x(o). Give u*j(g) - q(g). -2*g Let y(j) = 7*j + 9. Let z(g) = 1 - 5 - 4*g - 1. Let q = 11 - 6. Let c(h) = h + 8. Let o be c(-5). What is o*y(f) + q*z(f)? f + 2 Let c = 11 + -17. Let t(w) = -w - 8. Let j(g) = -g - 9. Determine c*j(n) + 7*t(n). -n - 2 Let l(b) = -b**3 - b. Let g(v) = -24*v**3 - 6*v. Determine -5*g(x) + 30*l(x). 90*x**3 Let p(z) be the third derivative of z**5/6 - z**4/6 - z**3/2 + 12*z**2. Let x = 7 + -5. Let f(o) = 4 - x - 4*o**2 + 3*o - 3*o**2. What is 7*f(h) + 5*p(h)? h**2 + h - 1 Let c(p) = -p**3 + 7*p**2 - 2*p - 7. Let i(m) = -m**3 + 4*m**2 - m - 4. Let g be (-2)/8 + (-232)/(-32). What is g*i(z) - 4*c(z)? -3*z**3 + z Let g(n) = -3*n**3 - 14*n**2 - 20*n + 11. Let b(q) = q**3 + 5*q**2 + 7*q - 4. Calculate -11*b(h) - 4*g(h). h**3 + h**2 + 3*h Let s(h) = -4*h**3 + 24*h. Let k(u) = -u**3 + u**2 - 1. Let w(o) = 5*o**3 - 4*o**2 - 5*o + 4. Let z(v) = -4*k(v) - w(v). Give -3*s(i) + 14*z(i). -2*i**3 - 2*i Let z(i) = -i**3 - i**2 - 1. Suppose 0*j - 36 = -4*j. Let t = 5 - j. Let o(b) = -4*b**2 + 0*b**3 - 4*b**3 - 5*b**3 + 4*b**3 - 4. What is t*z(v) + o(v)? -v**3 Let v(u) = 4*u**3 - 2*u**2 - 3*u + 2. Suppose -4*l = y + 3 - 2, 0 = -5*y + 4*l + 19. Let b(f) = f**3 - f. Calculate y*b(w) - v(w). -w**3 + 2*w**2 - 2 Let v(p) = p**3 - 4*p**2 + 5*p + 3. Let b(o) = o**3 - 6*o**2 + 7*o + 4. Suppose 0*z + 2*z + 2*a = -2, -z = -3*a + 5. Let t = 9 + z. What is t*v(g) - 5*b(g)? 2*g**3 + 2*g**2 + 1 Let r(y) = -y**2 - 6*y - 4. Let k be -1 - (-2 - 1)/(-1). Let p be k + 6 - 0/2. Let u(t) = 0*t**2 - t**p - 7*t - 8 + 3. Calculate 6*r(j) - 5*u(j). -j**2 - j + 1 Let y(b) = 10*b**3 + 14*b + 2. Let k(r) = -r**3 - r. Let x be (-2)/4 + (-25)/(-2). Suppose -5*q + 4 = -q. What is q*y(n) + x*k(n)? -2*n**3 + 2*n + 2 Let k(y) = 3*y**2 + y - 2. Let r(s) = s**2 + s - 1. What is -3*k(m) + 6*r(m)? -3*m**2 + 3*m Let l(w) = -5*w + 9. Let p be (-7)/(2*3/6). Let y(m) be the second derivative of m**3/3 - 2*m**2 - m. Determine p*y(g) - 3*l(g). g + 1 Let r(a) = -4. Let n(f) = -1. Let t(s) = -5*n(s) + r(s). Let y(m) = -2*m**2 + 4. Calculate -4*t(q) + y(q). -2*q**2 Let w(k) = -4*k**2 - 16*k + 6. Let x(r) = -r**2 + 1. Determine w(b) - 6*x(b). 2*b**2 - 16*b Let u(a) be the second derivative of 0 + 1/6*a**4 - 3*a - 3/2*a**2 + 0*a**3. Let l be (-3)/(-6) - 26/4. Let q(v) = v**2 - 2. Calculate l*u(j) + 10*q(j). -2*j**2 - 2 Let b(t) = 10*t**3 - 3*t**2 - 3*t. Let y(a) = 70*a**3 - 20*a**2 - 20*a. What is 20*b(j) - 3*y(j)? -10*j**3 Let d(r) = 2*r**3 - r**2 + 14*r. Let t(f) = -f**3 + 4319*f + 4320*f - 8644*f. Let k(y) = y**3. Let g be k(2). Determine g*t(h) + 3*d(h). -2*h**3 - 3*h**2 + 2*h Suppose 5*z = -3*r, 3*z - r - 4 = 10. Let t(s) = 1 + z + 7*s - 10 - 2*s**2. Let x(m) = -2*m**2 + 8*m - 7. What is 6*t(v) - 5*x(v)? -2*v**2 + 2*v - 1 Let u(l) = l**3 + l**2 - l - 1. Let j(t) = 4*t**3 + 3*t**2 - 4*t - 3. Let h be 18/(-4)*-1*(-8)/12. Give h*u(k) + j(k). k**3 - k Let i(z) = -4*z - 3 - 5 + 2 + 1. Let u(w) = 7*w + 9. Suppose 5*t - 7 = -l, l = 5*t - 7 + 4. Let n be t + (1 - 3) + 4. Give n*u(g) + 5*i(g). g + 2 Let o(i) = 11*i**3 + 17*i**2 - 4*i - 13. Let s be 2 - (2 - 2) - -11. Let c(h) = 5*h**3 + 8*h**2 - 2*
{ "pile_set_name": "DM Mathematics" }
) -2/13 (b) 5 (c) -2 a What is the nearest to -0.2 in 0.5, -0.1, 1/66, 2? -0.1 What is the nearest to -0.1 in 2/7, -1/4, 45, -0.2? -0.2 Which is the closest to -2/7? (a) 1 (b) -0.3 (c) -5/4 (d) 1/9 b Which is the closest to -2/7? (a) -1/6 (b) -4 (c) 25 (d) -3/5 a What is the nearest to 4 in -27, 6, -1/2, -4? 6 What is the nearest to 23 in 3, -0.1, 2? 3 What is the closest to -1/4 in -0.023, 2/15, 0.43? -0.023 Which is the nearest to -0.1? (a) -1/7 (b) 0 (c) -5 (d) 3 a Which is the nearest to 2/7? (a) -1/2 (b) 5 (c) 26 a Which is the closest to -4/5? (a) -2/7 (b) -6 (c) 22 a Which is the closest to -28? (a) 1 (b) 2/15 (c) 0.1 c What is the closest to -2/3 in -3/8, 4, 2/17, 19? -3/8 What is the nearest to 1/4 in 1651, -0.3, 2/17? 2/17 What is the closest to -0.1 in 5/4, -6, -13? 5/4 What is the nearest to -2 in -36, 3, -2/5, 2? -2/5 Which is the nearest to 0.4? (a) -1 (b) 2 (c) 0 c Which is the nearest to 1? (a) 2 (b) 8/11 (c) -3 (d) 1 d Which is the closest to 17? (a) 2 (b) -1/7 (c) 0 a What is the closest to -1/4 in 2, -5, -9/17? -9/17 Which is the closest to -0.01? (a) -3 (b) -0.1 (c) 1 b What is the closest to 0 in 5.1, 3, -0.5? -0.5 What is the nearest to -4 in 3/5, -3, 3, 0.5? -3 Which is the nearest to 4? (a) 0.1 (b) -2 (c) -1 a Which is the nearest to -5? (a) 3 (b) -3 (c) 0.09 b Which is the nearest to 2/5? (a) -1/4 (b) 18 (c) 2/13 (d) -6 c What is the closest to -0.2 in 0.5, -1/4, 3/4, -100? -1/4 What is the closest to -0.1 in -2, 5, -13? -2 Which is the closest to 0? (a) 92 (b) -0.1 (c) 0.3 (d) 0 d What is the closest to 1 in -32, 2, 4, -4? 2 Which is the nearest to -1/3? (a) 1/3 (b) 1 (c) 0.03 (d) -2 c What is the closest to 0.2 in 4, 3/4, -7? 3/4 What is the closest to 0 in 0.3, -0.4, -1/4, 1? -1/4 What is the nearest to 13/2 in 2, 0.1, 3, -4? 3 What is the nearest to -1 in 5, -2/11, -0.08? -2/11 Which is the closest to -45? (a) -1/2 (b) 0.2 (c) 0.12 a What is the nearest to 3 in -3, -1/9, 2, -2? 2 What is the closest to 9 in 0, 5, -0.2, 0.292? 5 What is the closest to 0.04 in 3, 3/7, -2, -0.3? -0.3 What is the closest to -5 in 2/9, 0.3, 43/2? 2/9 What is the nearest to -0.2 in -5, -6, 2/13, 0.3? 2/13 Which is the nearest to 0.2? (a) 0.3 (b) 2 (c) -1 a Which is the closest to 0.41? (a) 0.5 (b) -3 (c) 8 (d) 2/21 a Which is the nearest to 0.1? (a) 2/5 (b) 0.1 (c) -2 (d) -5 b What is the nearest to 5/29 in -1, -0.3, -5, 1/6? 1/6 What is the nearest to -0.6 in 5, -0.1, -20, 2/17? -0.1 Which is the closest to 35? (a) 1/4 (b) 2 (c) 23/3 (d) -2/11 c What is the closest to 1/4 in -0.4, 1122, 4? -0.4 What is the nearest to -0.07 in 2/7, -5, -11? 2/7 Which is the closest to -0.1? (a) -3 (b) 0.2 (c) 6 b Which is the nearest to -2? (a) 0.05 (b) -1/7 (c) -2/9 c Which is the closest to 4? (a) 4/5 (b) 0.1 (c) 0.051 a What is the nearest to -2.6 in -3, -1, -5, 4? -3 What is the closest to 1 in -13/3, 0.2, -1, 1? 1 What is the nearest to -111 in 3, -0.1, -1? -1 What is the closest to 0.2 in -1/4, -3, -5, 0.2? 0.2 What is the closest to -1 in -3.4, -3/2, 5, 0? -3/2 Which is the closest to 3/4? (a) -4 (b) 0 (c) 4/5 c What is the nearest to -1/4 in 23, -3/2, 0.4, -1/7? -1/7 Which is the nearest to 2/7? (a) -4 (b) -2/7 (c) 97 b Which is the nearest to -4? (a) -3 (b) 1 (c) 4 (d) 0.2 a Which is the nearest to 0? (a) 1/7 (b) 3/2 (c) -4/3 a Which is the closest to -1? (a) -0.5 (b) -1/4 (c) -0.12 a What is the closest to 0.1 in -0.2, 3, 1? -0.2 Which is the closest to -4/13? (a) -0.4 (b) -0.1 (c) -37 a What is the nearest to 1/25 in 3.8, 1, 0.1, 2? 0.1 What is the nearest to 3 in 3, -985, -0.5? 3 What is the nearest to -0.1 in -5, -1/6, -16? -1/6 What is the closest to 0.4 in 34, -0.3, 2/21? 2/21 Which is the nearest to -2? (a) -2/11 (b) -68 (c) -1 (d) -0.2 c Which is the nearest to 1? (a) 0.04 (b) 5 (c) 21 a What is the closest to -2 in 0, 0.3, -1/6? -1/6 What is the nearest to -1/4 in 34, -2, 13, 2/9? 2/9 Which is the nearest to 1? (a) -5 (b) 0.3 (c) 2/3 (d) 3 c Which is the closest to 0.1? (a) -1/3 (b) -2/63 (c) 1.8 b Which is the nearest to 0? (a) -0.4 (b) 0.8 (c) 10 (d) 5 a Which is the nearest to -16? (a) 2/13 (b) -3 (c) -0.03 (d) -0.5 b What is the nearest to 0.9 in 3, 1/4, 0, -0.09? 1/4 What is the nearest to -4 in -0.4, 2, 29? -0.4 What is the nearest to 0.015 in 4/5, 1/5, -2/7? 1/5 Which is the nearest to 0.2? (a) 4 (b) -782 (c) 4/5 c What is the nearest to 1 in 31, 0.5, 4, -2/5? 0.5 What is the nearest to 2/3 in 0.4, -0.035, -2/3? 0.4 What is the closest to -2 in -0.2, -2/15, 0.4, -4? -0.2 Which is the closest to 7363? (a) -4 (b) 0.4 (c) 4 (d) 0 c What is the closest to -0.1 in -0.4, 29, -18? -0.4 What is the nearest to 0.1 in 0.2, 2, -3/7? 0.2 What is the closest to 0 in 7, -11, 2/9? 2/9 What is the closest to 0 in -0.4, -1/5, 1/1063? 1/1063 Which is the nearest to -2/7? (a) -0.47 (b) -2 (c) 0.6 a What is the closest to 0 in -0.3, -0.01, -5? -0.01 Which is the nearest to -0.1? (a) 0.04 (b) -5/2 (c) 0.1 (d) 149/2 a What is the closest to -8 in 2/5, -5, -0.2, 7? -5 Which is the closest to 1? (a) -2/9 (b) -0.5 (c) 0.04 (d) -1/6 c What is the closest to 0.1 in -3, 2, 440? 2 Which is the closest to -0.2? (a) 5 (b) -2.39 (c) -4/7 c What is the closest to 4 in 1, -18, 2/13, 3/7? 1 What is the nearest to 1 in -0.1, 3.5, -11/16? -0.1 Which is the closest to 1/2? (a) 0.05 (b) -3 (c) -1 (d) 0 a Which is the nearest to -0.1? (a) -0.04 (b) 90 (c) 5 a What is the closest to 0.1 in 2, -0.5, 0.2, 2/9? 0.2 What is the nearest to -1 in 3, 0.4, -27, -1/4? -1/4 What is the closest to -0.2 in 5, 2/3, -7? 2/3 Which is the closest to -0.2? (a) -8/9 (b) 2 (c) -1 a Which is the nearest to -1? (a) 0.7 (b) 1/5 (c) -3 (d) -5 b Which is the closest to -9? (a) -1/6 (b) 3/4 (c) 3 (d) 0.1 a What is the nearest to 0.1 in 4, 0, -0.12, -2/13? 0 What is the closest to -340.3 in 0.1, -2, -2/7, 0.2? -2 Which is the closest to 1/3? (a) 2 (b) -1 (c) 68 b What is the closest to 2/3 in -5, -163, 0.3? 0.3 Which is the nearest to -6.4? (a) -1/29 (b) 0 (c) -3 c What is the closest to 0.1 in 0.4, -2, 5, -2/23? -2/23 What is the closest to 0 in 1/8, 1, -4, 3? 1/8 What is the closest to -0.01 in 1/3, -2, 3/23? 3/23 What is the closest to -0.2 in -2/21, -0.4, 5, 0.9? -2/21 What is the closest to -0.1 in -2/9, -68, -2/3, -3? -2/9 What is the nearest to 0.1 in 1/6, 1, -16? 1/6 What is the closest to 3/2 in -1, 1/2, 862/3? 1/2 Which is the closest to 4/3? (a) 5 (b) -14 (c) -4/15 c What is the nearest to -1 in -0.5, 0.4, -0.4, 5? -0.5 What is the closest to 5/4 in -2, 7, 3, -1/7? -1/7 Which is the nearest to -2/27? (a) 3/4 (b) 3 (c) 1 (d) -0.4 d What is the closest to 2/17 in -1/3, -3, 3? -1/3 What is the closest to -1.8 in 4, -0.4, -3? -3 What is the nearest to 1/4 in -1, 7, 0, 21? 0 Which is the closest to 2? (a) 0.08 (b) 1/4 (c) -2/9 (d) -0.094 b What is the closest to -2/3 in 2.4, -2/7, -2, -2/5? -2/5 What is the closest to -2/9 in -4, 2/7, 0.5, 0.3? 2/7 What is the nearest to 1/2 in 5, 60/77, -2? 60/77 Which is the closest to 0.0775? (a) -2 (b) -4 (c) -3 a What is the nearest to 1/3 in 3, 4, -0.079? -0.079 What is the nearest to -9 in 0, 4, 2, -1/9? -1/9 Which is the nearest to -3? (a) 5 (b) -4 (c) -1 b Which is the nearest to 0.5? (a) 0.4 (b) -1 (c) 3 a Which is the closest to 0.8? (a) 0.1 (b) -4 (c) 0 (d) 2 a Which is the nearest to 3/25? (a) 0.01 (b) 0.5 (c) 4 a Which is the nearest to 1? (a) -4/5 (b) -1/9 (c) -1/8 (d) -0.3 b Which is the nearest to -2? (a) 4 (b) 6 (c) -1/5 (d) 2 c What is the closest to -7 in -100, -0.5, -0.3? -0.5 What is the nearest to 2/3 in -1/7, -39, -4? -1/7 Which is the closest to -2/7? (a) -25 (b) 0.5 (c) -6 b What is the closest to -2 in -2, -0.1, -1/3, 1/7? -2 Which is the closest to 1/5? (a) 540 (b) -1 (c) -1/4 (d) -4 c Which is the closest to 1/4? (a) -0.2 (b) -2/7 (c) 0 (d) 23 c Which is the nearest to 1? (a) -2/3 (b) -3 (c) -10/29 c What is the nearest to 0.3 in -7/3, 7, 0, -0.1? 0 Which is the nearest to -0.1? (a) -3/2 (b) -5 (c) -1 (d) -1/13 d Which is the nearest to 1? (a) 0.1 (b) 25 (c) 0 (d) 1 d Which is the nearest to -1? (a) 51
{ "pile_set_name": "DM Mathematics" }
((z**0)**(-3/35))**21 assuming z is positive. 1 Simplify ((i**(-2/7)/i)/i*i**(-1/5))**38 assuming i is positive. i**(-3306/35) Simplify h**(-4)*h**(-8)*h**(-2/11)/(h*h**(3/8)) assuming h is positive. h**(-1193/88) Simplify o**21/(o/(o*o**6*o))*(o*o*o/((o*o*o**(1/19)*o*o*o*o)/o))**18 assuming o is positive. o**(-170/19) Simplify (p**(-1/4)*p)/(p*p**(-9/5)*p)*(p**(1/5))**(-20) assuming p is positive. p**(-69/20) Simplify ((j**21*j)/j**6)/((j/(j/(j/(j*j*j*j**(-6/11)/j))))/j*j*j**(-18)) assuming j is positive. j**(379/11) Simplify ((y**(1/3)/y**(-6))/(y**(-1/4)*y)**(9/10))**(35/6) assuming y is positive. y**(4753/144) Simplify (t**2)**(-1/2)/(t**(4/15)/(t/(t/(t*t/((t**(-4/11)/t)/t))))) assuming t is positive. t**(511/165) Simplify ((b**(5/4)*b/b**(-2/9))**(-7/4))**39 assuming b is positive. b**(-8099/48) Simplify (((k*k*k/(k*(k/(k*k**(7/9)/k*k))/k*k))/k)/k*((k**(10/3)*k*k*k)/k)/k)/(((k*k*k*k/(k*k*k/k**30*k*k))/k)/(k*k**(-26/5))) assuming k is positive. k**(-1219/45) Simplify (k**(1/10))**(2/69)/((k*k/((k/(k/k**(4/7)))/k)*k)/k)**(3/11) assuming k is positive. k**(-17518/26565) Simplify (l/(l/(l**(-1/29)*l)*l)*l**(-2/17))/(l/(l*(l**29/l)/l)*(l/l**0)/l) assuming l is positive. l**(13236/493) Simplify w**15/w**16*w**(-1/4)/(w/((w/(w/(w*w**(-2/7)*w)))/w)) assuming w is positive. w**(-43/28) Simplify y**(-2/13)/y**(-12)*(y*y**27)/(y*y/y**(14/9)) assuming y is positive. y**(4610/117) Simplify ((i**(-2/7))**7/(i**6/i*i**(-2)))**(-18) assuming i is positive. i**90 Simplify z**(14/5)/z**(1/5)*z**(-25)*z**(4/3) assuming z is positive. z**(-316/15) Simplify ((t/(t*t*t*t**(-2/9)/t)*t**(-5))/((t*t**(-1))/(t*t/(t*t**(-2/3)*t*t*t))))**13 assuming t is positive. t**(-832/9) Simplify (f*f**(-2/9)/f*f)/(f/(f/(f*f**(-23)))*f)*(f**0)**(5/6) assuming f is positive. f**(196/9) Simplify o/((((o/(o/(((o*o**(-10/9)/o*o*o)/o)/o)))/o)/o)/o*o)*o*o/o**(1/11)*(o**(5/4)*o*o*o)/(o*o*o*o*o/((o**(2/13)/o*o)/o*o)) assuming o is positive. o**(27923/5148) Simplify ((i**(-1/5)/i*i)/i**(-1)*(i**(-1))**(-2))**24 assuming i is positive. i**(336/5) Simplify (o**(-4/3)*o/o**(2/15))/(o**2)**(-16/5) assuming o is positive. o**(89/15) Simplify (f*f**(-1/23)*f)/(f*f/f**(-2/47))*f**(2/27)*(f/(f*f**(-2/67)))/f assuming f is positive. f**(-1920538/1955529) Simplify (r**(-7))**32/(r/(r*r**(-1/6))*((r**6*r)/r)/r) assuming r is positive. r**(-1375/6) Simplify (j**(-1/2)/((j/((j**5/j)/j))/j))/((j/(j*j**4))/(j**5/j)) assuming j is positive. j**(21/2) Simplify ((u/u**(-3/29))/u**(-2/45))/((u/u**(-33))/u*u*u*u*u**(-7/6)) assuming u is positive. u**(-87919/2610) Simplify (c**(-1/9))**(-13)*(c**17*c)/c*c*c**(-5/7) assuming c is positive. c**(1180/63) Simplify ((z/(z**(-5)*z))/z**0)**(1/2) assuming z is positive. z**(5/2) Simplify (x/(x*x**(2/103)))/(x*x/((x*x*x**(-4/9)*x)/x))*x*x**(2/3)*x*x**(-14/5)*x assuming x is positive. x**(1867/4635) Simplify b**(-1/16)*b**(-2/7)*b**27*b**(-1/29) assuming b is positive. b**(86453/3248) Simplify (q**(1/7)/q**(2/3)*((q*q**(1/5))/q)**(-2/79))**42 assuming q is positive. q**(-8774/395) Simplify ((m*m**(-1)*m/(m*m**6)*m)/(m**(1/3))**(-40))**(-2/97) assuming m is positive. m**(-50/291) Simplify (p**(-3)*p)**(2/85)*((p/(p/(p*p*p/p**(1/4))))/p*p*p)**(-19) assuming p is positive. p**(-24241/340) Simplify ((c/(c**(-13/2)*c))/c*c*c**(2/65)*c)**3 assuming c is positive. c**(2937/130) Simplify ((w**2*w/(w**(-1/7)/w))/((w/(w*((w**(4/7)*w)/w*w)/w*w))/w**(-2/9)))**(-44) assuming w is positive. w**(-15224/63) Simplify j**23/j*j/((j*j/j**9)/j)*(j/((j/(j/(j/(j*j*j/j**(-16)))))/j))/(j/((((j/j**(-9))/j)/j)/j)) assuming j is positive. j**57 Simplify y**(-1)/(y/(y/(y*y/((y*y**(2/5))/y))))*y**(3/5)*y*y*y/(y*y/(y**(-5/4)/y)) assuming y is positive. y**(-13/4) Simplify (h/h**2*h**14)**(-3/26) assuming h is positive. h**(-3/2) Simplify l**(-3)/l**(14/5)*(l*l*l**(-2/11))**41 assuming l is positive. l**(3781/55) Simplify (v**(-2/29)/((v**(-5/6)/v)/v))/(v/(v*v/v**(-3/2)))**(-23) assuming v is positive. v**(-4762/87) Simplify (v/v**(-25)*v)**(-2/95)/(v/v**(-35)*v*v**(-26/3)*v) assuming v is positive. v**(-8522/285) Simplify (t*t**(-3/2)*t*t**0*t*t*t**(3/11)/t*t*t**(2/37))**(3/31) assuming t is positive. t**(6903/25234) Simplify (m*m**(-10)/m)/m**(1/3)*(m/(m*m**1))**(-18) assuming m is positive. m**(23/3) Simplify ((c*c**(-2/11)*c*c*c**(-11))**(-4/3))**18 assuming c is positive. c**(2160/11) Simplify (d**(2/3)*d*d**(-25))/(d/d**19*d*d**0) assuming d is positive. d**(-19/3) Simplify (((f/f**(1/2)*f)/f*f*f)**(-46)*f**(2/3)/f*f*f/(f/(f/f**5*f)*f))**(1/2) assuming f is positive. f**(-355/6) Simplify (u/(u**(-13)/u)*u**(2/21)/u*u)/(u*u**(1/3))**(-2/7) assuming u is positive. u**(325/21) Simplify (m**(-17)*m*m**(-1/22))/(m**(-17)/m)**(-9) assuming m is positive. m**(-3917/22) Simplify ((y**(-4/7)*y)/y)**(-38)*(y*y/(y/y**20*y))/y**(-15) assuming y is positive. y**(397/7) Simplify ((f**(1/5)/(f*(f/(f*f/f**(-2/15)*f))/f))/(f**(2/9)/f*(f**(4/9)*f)/f*f))**(-6/25) assuming f is positive. f**(-2/5) Simplify ((z/(z/((z*z*(z/(z/z**(-4))*z)/z*z)/z)*z)*z**5)**(19/5))**(-23) assuming z is positive. z**(-874/5) Simplify ((s/s**5)/(s**0/s)*s**5/(s/s**(-1/5)))**(2/155) assuming s is positive. s**(8/775) Simplify (o**3)**(1/19)/(o/o**7*o*o**(-3/5)) assuming o is positive. o**(547/95) Simplify (d/(d**(-2/33)*d)*d**22)/(d**(-11)/d*d*d**(-1/18)/d) assuming d is positive. d**(6755/198) Simplify y**(-1/11)/(y*y*y**(3/7))*y**25/y**(1/10) assuming y is positive. y**(17233/770) Simplify (z**13*z**8*z)**14 assuming z is positive. z**308 Simplify ((k**(-15))**(21/4))**(-21) assuming k is positive. k**(6615/4) Simplify (((j**7)**(-2/41))**32)**24 assuming j is positive. j**(-10752/41) Simplify (z**0)**(8/11)*z*z**(-1)*z*z**(-29) assuming z is positive. z**(-28) Simplify (q**(-8/5))**(-27/7)/(q**6/q**(8/5)) assuming q is positive. q**(62/35) Simplify ((m*m**(-1))/(m*(m*m*m**(1/11))/m)*((m*m/m**9)/m)/m**(-2/7))**4 assuming m is positive. m**(-3020/77) Simplify ((k*k**8*k)/(((k**31*k)/k)/k))/(k**1*k)**(2/93) assuming k is positive. k**(-1864/93) Simplify (i*i**12)/(i**(11/2)*i)*i**(-2/17)/(i**(-5/6)*i*i) assuming i is positive. i**(266/51) Simplify ((d/(d*d*d**(-16)))/d)**(-5)*d*d/(d/(d/(((d/d**13)/d)/d*d)))*d*d**(15/4) assuming d is positive. d**(-201/4) Simplify (((g**(-20)*g)/g)/g**(-29))/(g/(g*g**5/g))**(-39) assuming g is positive. g**(-147) Simplify (k*((k/(k/k**(-2))*k)/k)/k*k*k*((k**(-14)/k)/k)/k)/(k*k**2)**(1/3) assuming k is positive. k**(-18) Simplify ((q*(q/(q*q**2))/q*q)/q*q)/(q*(q/(q/(q*q**(-7)*q)))/q)*q**(4/3)/((q/(((q*q**(7/6)*q)/q)/q*q))/q*q) assuming q is positive. q**(13/2) Simplify ((i**(-17)/i)/i*(i/i**(-7/5))/i)/(((i*(i**3/i)/i*i)/i)/i*i**(3/5)) assuming i is positive. i**(-96/5) Simplify (v/(v/v**(-1/5))*v/(v**(1/28)/v))/(v/v**10*v*v*v*(v*v*v**(9/8))/v) assuming v is positive. v**(1579/280) Simplify (x**12*x*x)/(x*x**(1/10))*(x*(((x/x**(4/7))/x*x)/x)/x)/x**6 assuming x is positive. x**(443/70) Simplify (q**(3/28)*q**(8/9))**(-7/9) assuming q is positive. q**(-251/324) Simplify ((k/(k*k**(-2)))**45*k**10/(k/(k*k**(2/19))*k))**(-22) assuming k is positive. k**(-41426/19) Simplify (f**(-8))**15/(f*f*(f*f/(f/(((f*f**(-2/5)*f)/f*f)/f))*f)/f)**(-1/34) assuming f is positive. f**(-10191/85) Simplify (((s*s**(-1/33)*s)/s)/(s*s/(s*s/s**(2/15)*s*s)))**25 assuming s is positive. s**(780/11) Simplify (((((p**3/p)/p*p)/p)**9)**(11/6))**(-1/10) assuming p is positive. p**(-33/20) Simplify (y**(-4/9))**12*(y**(-6/19))**(2/19) assuming y is positive. y**(-5812/1083) Simplify (j*j**30)**(-2/15)*j**(25/4)*j**(-14) assuming j is positive. j**(-713/60) Simplify (m**(-1/4)/(m*m*m*m**(-2)*m))/(m**(-8))**(6/13) assuming m is positive. m**(75/52) Simplify (y*y/y**(-1))/y*y/y**(-7)*y**24*y/y**(-1/18) assuming y is positive. y**(631/18) Simplify ((x/(x/(x**6/x*x)*x)*x)/x)**(-3)/(x**(-1/13)*x/(x/(x*x**17)*x)) assuming x is positive. x**(-415/13) Simplify v*(v*v/(v/(v*v**15)*v*v*v))/v*v/(v/(v/(v**(3/10)/v*v))*v)*v**(1/6)*v**(8/5) assuming v is positive. v**(232/15) Simplify (((h*h*h/h**(2/19))**(-35))**38)**(2/7) assuming h is positive. h**(-1100) Simplify (((a*(a/(((a**(-2/5)*a)/a)/a))/a)/a)/a)**(4/13)/(a**(-6))**4 assuming a is positive. a**(1568/65) Simplify (((j**(2/29)*j)/j)/j*j*j**(-23)/j*j)**(-1/3) assuming j is positive. j**(
{ "pile_set_name": "DM Mathematics" }
a). 11 Let l(f) = f**3 - 7*f**2 + 4*f + 6. Let u be l(6). Let r(k) = 15*k**2 + 179422*k + 5 - 179426*k - 22*k**2 - 4*k**3 + 3*k**3. What is r(u)? -7 Let l = 216 + -186. Let w(z) = 4 + l*z - 56*z + 27*z. Determine w(3). 7 Let s = 255 - 252. Suppose -8*m = -4*m - s*v - 22, -4*m + 20 = -4*v. Let l(r) = r**3 - 7*r**2 - 3*r + 10. What is l(m)? -11 Let l(z) = 897*z + 1 + 0 + 459*z**2 - 900*z - 460*z**2 + z**3. Let o(m) = -m**2 - m + 3. Let r be o(0). Give l(r). 10 Let n(u) = 40 + 3*u**3 + 139*u**2 - u**3 - 126*u**2 + u**3 - 4*u**3 - 4*u. Calculate n(13). -12 Let z(j) = -j**3 - 5*j**2 - 7*j - 5. Let f be (-1)/(-14 + 11 + (-28)/(-10)). Suppose -7*t = -f*t + 8. Give z(t). 7 Let l(y) be the third derivative of -y**5/60 + 5*y**4/8 - 49*y**3/6 - 1891*y**2. Determine l(8). 7 Suppose 7*t + 2085 + 2696 = 0. Let j be (t/(-7) - 3) + 8/(-14). Let l(u) = -3*u**2 + u**3 + j*u - 3 - 187*u + 97*u. Calculate l(2). 1 Let k(x) = -16 - 10*x**2 + 53 + 9*x**2 - 20 + 5*x - 21. Let j be -1 - -5 - (0 + 1). What is k(j)? 2 Let r(j) = -293*j + 45705. Let l be r(156). Let h(w) be the third derivative of w**6/120 + w**5/15 - w**4/24 - w**3/2 - 2*w**2. Calculate h(l). 9 Let k = -16096 - -16088. Let b(p) = -15*p - 120. Give b(k). 0 Let j = -7 - -18. Let l(g) be the second derivative of g**4/12 - 13*g**3/6 + 17*g**2/2 + g + 2113. What is l(j)? -5 Let b(i) = i**2 - 2*i - 7. Let w(j) = j**2 + 33*j + 29. Let p be w(-8). Let n be p/(-33) - (-28)/(-154). What is b(n)? 8 Let y(h) = h + 8. Suppose -2*x = -31 - 5. Let a(o) = -o**3 + 18*o**2 - 2*o + 1. Let r be a(x). Let d be 5/r + (-13)/7 - 4. Calculate y(d). 2 Let f = -12048 + 12052. Let w(l) = -3*l**2 - 19*l + 114. Calculate w(f). -10 Let w(q) = 10*q + 14. Let a = -1218 + 1215. What is w(a)? -16 Let x(w) be the third derivative of 1/3*w**3 + 0 - 32*w**2 + 0*w - 1/6*w**4. Let f(i) = i**2 + 4*i - 7. Let c be f(-5). Determine x(c). 10 Let y = -32 - -35. Suppose -2*n - 6 = 0, 0*h - 5*h - 4 = y*n. Let q be -3 - (h - (-1 - (0 + -4))). Let d(c) = 9*c**2 + c. Give d(q). 8 Suppose 4*c = 3*a - 6, -4*a + 75 = 2*c + 111. Let z(k) be the second derivative of -7/2*k**2 - 1/6*k**3 + 0 + k. What is z(c)? -1 Let m(s) = -s**2 - 21*s - 33. Let g(o) = 24*o - 1339. Let y be g(55). Determine m(y). 5 Let p be 3/((-12)/(-148))*1. Suppose -2*t + 5 = 5*j + 3*t, -5*j + 3*t + p = 0. Let i(c) = -j*c**2 + 10 - 2*c**2 + c**2 + 7*c - c**3 - 4. Determine i(-7). 6 Let d(g) be the second derivative of -g**4/12 - 4*g**3/3 + 7*g**2/2 + 3222*g - 6. Suppose -i - 2*j - 4 = 0, 3*i + 12 + 20 = 4*j. Determine d(i). 7 Let d(x) be the first derivative of -x**4/4 + 2*x**3 - 3*x - 188. Suppose 0 = 41*i - 35*i - 36. Determine d(i). -3 Let a(k) = -k**2 - 14*k + 12. Let v be a(1). Let q(r) = -5*r + 5. Let w(t) = t + 3*t - 10 + 5*t. Let f(b) = v*w(b) - 5*q(b). Determine f(-4). 13 Let a(s) = s**2 - 7*s - 11. Let d be 1 + 16 + (-10 - -5). Let h be 4*(4 + (-3)/d). Suppose -h*j - 32 = -19*j. Calculate a(j). -3 Let y(l) = -l**3 + 5*l**2 + 7*l - 4. Let s = -946 - -973. Suppose 0 = -4*c - 33 - 51. Let g = s + c. What is y(g)? 2 Let x(s) = -3*s**3 + s**2 + 4*s + 2. Let a be x(-1). Suppose -2*y - 4 = 3*b, -a*y + b - 5 = 15. Let c(g) = -2*g - 2. Determine c(y). 14 Suppose 300*l - 292*l = 216. Suppose 0 = -9*n - l. Let b(f) = -f**3 - 4*f**2 - 4*f - 7. Give b(n). -4 Let g(s) = 16*s**3 - 9*s**2 - 14*s + 20. Let q(n) = -27*n**3 + 19*n**2 + 28*n - 38. Let v(i) = -5*g(i) - 3*q(i). Let b = -8 + 21. Calculate v(b). 1 Suppose -10*z + l = -7*z - 1499, 2*l - 2491 = -5*z. Let c(t) = 499 + t**2 - z - t**2 + 5*t**3. Suppose 2 = 3*i - 1. Calculate c(i). 5 Let y(p) be the first derivative of -p**4/4 - 3*p**3 + 9*p**2/2 - 6*p + 5. Suppose 29*l + 53 + 264 = 27. Give y(l). 4 Let z = 125 + -120. Let s(y) = -7*y**3 + 2*y**2 - 7*y + 10. Let k(p) = -10*p**3 + 3*p**2 - 10*p + 15. Let v(c) = z*k(c) - 7*s(c). What is v(0)? 5 Let n(a) be the third derivative of 0*a - 1/6*a**4 + 1 - 1/2*a**3 - 2*a**2. Determine n(4). -19 Let y = 12 + -12. Suppose -6*m + y*m + 36 = 0. Let w(b) = 0*b**3 + b + 7*b - b**3 - 41 + 37 + 5*b**2. Calculate w(m). 8 Suppose 0 = 21*r - 21 - 42. Let k(j) = -6 + 18 + 5*j**2 - 7 - 8 - j**r + 2*j. Determine k(5). 7 Suppose 0 = -1167*u + 1174*u + 7. Let l(n) = n**2 - 3*n + 9. Let i(x) = -x - 1. Let z(d) = u*l(d) - 4*i(d). Determine z(8). -13 Let c(s) = 2*s**2 + s + 1. Suppose 0 = 12*j - 6*j + 18. Let g be c(j). Let x(h) = h - 11*h**2 + 8*h**2 + 11 - g + 2*h**2. What is x(0)? -5 Let z be 4440/1332 - (-2)/(-6). Let s(j) = 34*j + 22. What is s(z)? 124 Let g(w) = 63*w - 3. Let s be ((-3)/(-9))/(9/(-27))*1. Calculate g(s). -66 Let c(k) = -k**2 + 25*k + 31. Let l(m) = m**2 - 29*m - 36. Let t(r) = -7*c(r) - 6*l(r). Let g = 8 + -3. Calculate t(g). 19 Let g(w) be the first derivative of -11*w**2/2 + 196*w + 126. What is g(19)? -13 Let z(w) = w**2 + 4*w + 1. Let o(l) = 52*l**2 - 4*l. Let y be o(1). Let q = 51 - y. Let s be (((-4)/4)/(-1))/((-1)/q). Give z(s). -2 Let z(a) = -a**3 + 14*a**2 + 30*a + 38. Let b = -6292 + 6308. Determine z(b). 6 Let z(q) be the second derivative of q**5/2 - q**3/6 - 44*q. Let p be 4/1 + 10*10/(-20). What is z(p)? -9 Suppose 8*j = -20*j + 392. Suppose j*u - 48 = 6*u. Let n(p) be the second derivative of p**4/12 - p**3 + 3*p**2 - p. Give n(u). 6 Let c(y) = -26*y - 613*y**2 + 305*y**2 - 17 + 307*y**2. Let k be c(-25). Let m(l) = l**3 - 7*l**2 - 9*l + 7. What is m(k)? -1 Let n(m) be the first derivative of m**5/60 - 11*m**4/24 + 3*m**3/2 - 11*m**2/2 - 64. Let o(q) be the second derivative of n(q). Calculate o(8). -15 Let p(o) = 2*o**3 - 565*o**2 - 565*o**2 + 3*o + 1 + 1694*o**2 - 559*o**2. Let q(g) = g**3 + 12*g**2 + 12*g + 8. Let x be q(-11). Determine p(x). -17 Suppose -2*j = 4*s - 20, 5*j = 19*s - 15*s - 6. Let r(p) be the second derivative of p**4/3 - p**3/3 + p**2/2 - 2*p. What is r(j)? 13 Suppose -q - 16 = -2*g, 3*q = -g + 4*q + 9. Suppose 0 = 5*y, -n + 0*y = 2*y - g. Let v(d) = 4*d**2 + 8*d - 12 - 5*d**2 + 9. Calculate v(n). 4 Suppose 3*z = -z + 8. Suppose z*p - 5*m - 27 = -0*m, -33 = -5*p + m. Let x(b) = 0 + p - 205*b + 202*b. Give x(5). -9 Let i(f) = -f**3 + 17*f**2 - 33*f + 52. Let p = 5182 + -5167. Give i(p). 7 Let o(h) = 5 + 10 + 9 + h**3 - 20*h + 8*h**2 - 19. Let g be o(-10). Let u(z) = -z**3 + 5*z**2 + z - 7. Determine u(g). -2 Let b(d) = 6*d**2 + 1. Let c = -109 + 67. Let i be 6/21 + (180/c)/(-6). Calculate b(i). 7 Let q(k) = 2*k - 5. Let o(b) = -b**3 - 9*b**2 + 11*b + 99. Suppose -2*l = 7*m - 11*m - 42, 0 = -4*m + l - 39. Let n be o(m). What is q(n)? -5 Let b(d) = -7*d**2 + 25*d - 19. Let l(h) = 3*h**2 - 12*h + 7. Let s(v) = 2*b(v) + 5*l(v). What is s(5)? -28 Suppose 0 = -4*l + 3*o + 45 - 69, -18 = 3*l + o. Let k(g) = -20*g - 114. Give k(l). 6 Let g(z) be the first derivative of z**5/20 + 5*z**4/12 - 5*z**3/6 + 5*z**2/2 - 4*z + 30. Let d(b) be the first derivative of g(b). Give d(-6). -1 Let w = -527 - -540. Let n = 8 + -6. Let t(u) = 1 + 5*u**n - 6*u**2 + 16*u + 1 - w*u. What is t(-2)? -8 Let z(c) = c**2 + 13*c + 1. Suppose 2*i - 36 = 8*i, k = 5*i + 15. Determine z(k). 31 Let n(x) be the third derivative of -x**4/8 - 3*x**2. Suppose 31 = m - 23. Suppose -5*j + m = 69. Determine n(j). 9 Let y(f) be the second derivative of -f**4/6 - f**3/2 - f**2 - f. Let t(d) = -8*d**2 - 3*d + 369. Let n be t(-7). Give y(n). -4 Let o = -86 - 79. Let s be 30/o + 92/22. Let z(l) = -4*l - 3. What is z(s)? -19 Let h(o) = 13*o + o - 9 + 4*o - o**2 + 3*o - 43. Calculate h(17). 16 Suppose -893 + 577 = -79*z. Let y(t) be the third derivative of 0 + 1/2*t**3 - 22*t**2 + 1/60*t**5 + 0*t**z + 0*t. Determine y(0). 3 Let b be (-11)/55 + 15492/10. Let x(a) = 2*a**2 - 2*a + 2*a**3 + 1549 - b. Suppose -4*z - 4 = 4. Give x(z). -4 Let k(m) = -6*m - 35. Let n be k(7). Let z = 89 + n. Let h(d) = -2*d - 13 - z + 26. Determine h(3). -5 Let c(o) = 4*o - 5. Let g = -287 - -320. Suppose 31*l - g*l + 12 = 0. Calculate c(l). 19 Suppose -117*d - 9 = -120*d. Let x(n) be the third derivative of -n**4/12 - n**3/6 + 88*n**2. Give x(d). -7 Let f(d) = 2*d**3 - 5*d**2 - 3*d - 32. Suppose -6*o + 42 = 0, 3*o - 33 = -16*m + 13*m. Determine f(m). 4 Let a(t) be the first derivative of -t**4/12 - 7*t**3/6 + 7*t**2/2 + 63*t + 67. Let o(f) be the first derivative of a(f). What is o(-9)? -11 Let q(d) = -d**2 + 13*d + 56. Suppose -
{ "pile_set_name": "DM Mathematics" }
in 9332748, 9332742, 9332724, 9332688, 9332628, 9332538? 9332412 What is next in -17264432, -34528872, -51793312, -69057752, -86322192, -103586632? -120851072 What is next in 59630, 123302, 186974, 250646, 314318? 377990 What is the next term in 565, 3064, 7243, 13108, 20665, 29920? 40879 What is next in 1248140, 1248159, 1248178, 1248197, 1248216, 1248235? 1248254 What comes next: -9185, -18165, -26927, -35471, -43797, -51905, -59795? -67467 What is next in -755, -2095, -3415, -4709, -5971, -7195, -8375, -9505? -10579 What comes next: -80, -279, -524, -815, -1152, -1535? -1964 What is the next term in -377, -1604, -3621, -6428, -10025, -14412? -19589 What is the next term in 3000373, 6000822, 9001271, 12001720, 15002169, 18002618? 21003067 What is next in 195, 388, 701, 1152, 1759, 2540, 3513, 4696? 6107 What comes next: -10223, -9984, -9733, -9464, -9171, -8848, -8489? -8088 What is next in 1342754, 5371000, 12084748, 21484004, 33568774, 48339064, 65794880, 85936228? 108763114 What is next in 8390232, 16780470, 25170716, 33560970? 41951232 What is next in -620187, -620115, -619995, -619827? -619611 What is the next term in 4300090, 8600208, 12900326, 17200444, 21500562? 25800680 What is next in 293, 178, -295, -1306, -3035, -5662, -9367, -14330? -20731 What is the next term in -16216685, -16216678, -16216669, -16216658? -16216645 What comes next: 45933, 91866, 137799, 183732, 229665, 275598? 321531 What comes next: 11737487, 11737478, 11737471, 11737466, 11737463? 11737462 What is next in -878342336, -878342334, -878342332? -878342330 What is the next term in 464684, 928581, 1392478, 1856375, 2320272? 2784169 What is the next term in -594, -642, -684, -720, -750, -774, -792? -804 What comes next: -4510673, -9021319, -13531965, -18042611, -22553257, -27063903? -31574549 What comes next: 60775365, 60775367, 60775369, 60775371? 60775373 What is the next term in 111789, 223543, 335265, 446955? 558613 What is next in 291034, 291043, 291052, 291061? 291070 What comes next: 982457, 1964898, 2947325, 3929732, 4912113, 5894462, 6876773, 7859040? 8841257 What comes next: -5604038, -5604046, -5604054? -5604062 What comes next: 574387, 574366, 574345, 574324, 574303, 574282? 574261 What is next in 662464, 1324928, 1987392, 2649856? 3312320 What is the next term in 931, 1333, 1221, 607, -497, -2079, -4127, -6629? -9573 What is next in 60694, 63609, 66524, 69439, 72354, 75269? 78184 What is the next term in -29236, -29587, -30138, -30889? -31840 What comes next: -40691, -80836, -120981, -161126? -201271 What is next in -619, -1723, -3317, -5401, -7975? -11039 What is the next term in 2756009, 2755962, 2755841, 2755610, 2755233, 2754674, 2753897? 2752866 What comes next: 18458, 35351, 52272, 69227, 86222, 103263, 120356? 137507 What is the next term in -299517, -599034, -898551? -1198068 What is next in -389672, -779409, -1169146, -1558883, -1948620, -2338357? -2728094 What is the next term in -777578, -777398, -777230, -777080, -776954, -776858? -776798 What is the next term in 120281, 228547, 336811, 445073, 553333? 661591 What comes next: -514, 1722, 3958, 6194? 8430 What is the next term in 1751833653, 1751833654, 1751833655? 1751833656 What comes next: -7818, -15630, -23464, -31326, -39222, -47158, -55140, -63174? -71266 What comes next: -2284, -3725, -3956, -2371, 1636, 8671, 19340? 34249 What is next in -45078, -66861, -88644, -110427? -132210 What is next in -84732, -168708, -252684? -336660 What is next in -1674, -1910, -2154, -2412, -2690, -2994, -3330, -3704? -4122 What is the next term in 388550, 388481, 388366, 388205? 387998 What is the next term in 406, 208, -312, -1310, -2942, -5364, -8732, -13202? -18930 What is next in -24, -341, -948, -1839, -3008, -4449? -6156 What comes next: -1242, -4386, -9520, -16644, -25758, -36862? -49956 What is next in 155833, 311159, 466485, 621811, 777137, 932463? 1087789 What is next in 6406, 9619, 12830, 16039? 19246 What is next in 97358, 194722, 292062, 389372, 486646, 583878, 681062? 778192 What comes next: -54999, -110190, -165381, -220572, -275763, -330954? -386145 What comes next: -1712322, -3424655, -5136988, -6849321, -8561654? -10273987 What comes next: -9060, -8995, -8904, -8787, -8644, -8475, -8280? -8059 What comes next: -75268, -75263, -75258, -75253? -75248 What comes next: -31134, -23969, -12036, 4659, 26110, 52311, 83256, 118939? 159354 What is the next term in 409531, 1638121, 3685757, 6552427, 10238119, 14742821? 20066521 What is next in 28964106, 28964108, 28964110, 28964112, 28964114, 28964116? 28964118 What is the next term in 137228, 137329, 137506, 137771, 138136, 138613, 139214, 139951? 140836 What comes next: 3838, 6385, 8932, 11479, 14026? 16573 What is next in 790234, 790244, 790254, 790264, 790274, 790284? 790294 What is next in -4632, -4824, -5388, -6510, -8376, -11172? -15084 What is the next term in 3269, 12116, 26523, 46484, 71993, 103044? 139631 What comes next: 3724, 20662, 66640, 156178, 303796, 524014, 831352, 1240330? 1765468 What comes next: 3433943, 3433927, 3433911, 3433895, 3433879, 3433863? 3433847 What is the next term in 85164, 341133, 767734, 1364973, 2132856, 3071389, 4180578? 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157 What is next in 1699, 3157, 4267, 5029, 5443, 5509? 5227 What is next in 24521, 98116, 220783, 392522? 613333 What is next in 9888272, 9888268, 9888264, 9888260? 9888256 What is the next term in -7691, -62056, -209793, -497588, -972127? -1680096 What comes next: 325675, 651647, 977619, 1303591, 1629563, 1955535? 2281507 What is next in 16299460, 32598925, 48898390, 65197855, 81497320? 97796785 What is next in -14471, -29275, -44081, -58889, -73699, -88511, -103325? -118141 What is next in -18191, -17743, -16999, -15971, -14671, -13111, -11303? -9259 What is the next term in 1185304, 1185325, 1185346, 1185367, 1185388? 1185409 What is next in 1305, 965, 367, -489, -1603, -2975, -4605? -6493 What is the next term in 5233, 41875, 141289, 334861, 653977, 1130023? 1794385 What is the next term in 73774, 73950, 74258, 74710, 75318, 76094, 77050, 78198? 79550 What is next in -271385, -271415, -271461, -271523, -271601, -271695? -271805 What is next in -5554, -24067, -55530, -99943? -157306 What comes next: 3684402, 3684376, 3684334, 3684276? 3684202 What comes next: 10988, 10691, 10394? 10097 What is the next term in -4009816, -4009932, -4010050, -4010170? -4010292 What comes next: -612789041, -612789039, -612789037, -612789035, -612789033? -612789031 What is the next term in -1076, -1120, -1264, -1556, -2044, -2776, -3800, -5164? -6916 What comes next: -169905, -174232, -178559, -182886, -187213? -191540 What comes next: -72, 214, 782, 1632? 2764 What is the next term in -3348423, -3348477, -3348531? -3348585 What is the next term in 8790203, 17580476, 26370749, 35161022? 43951295 What comes next: -43810, -43764, -43718, -43672, -43626? -43580 What is the next term in -449495, -899011, -1348545, -1798103, -2247691, -2697315? -3146981 What is next in 32992, 65799, 98610, 131425, 164244? 197067 What is next in -86311665, -86311654, -86311643, -86311632, -86311621, -86311610? -86311599 What comes next: 828180, 828174, 828156, 828120, 828060, 827970, 827844, 827676? 827460 What is the next term in
{ "pile_set_name": "DM Mathematics" }
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8 What is the tens digit of 198? 9 What is the tens digit of 816? 1 What is the thousands digit of 32213? 2 What is the thousands digit of 2162? 2 What is the ten thousands digit of 24030? 2 What is the units digit of 39818? 8 What is the units digit of 1798? 8 What is the thousands digit of 27354? 7 What is the hundreds digit of 6374? 3 What is the hundreds digit of 757? 7 What is the thousands digit of 6297? 6 What is the thousands digit of 10153? 0 What is the hundreds digit of 7081? 0 What is the tens digit of 15676? 7 What is the hundreds digit of 573? 5 What is the tens digit of 38219? 1 What is the tens digit of 566? 6 What is the hundreds digit of 2099? 0 What is the units digit of 14335? 5 What is the units digit of 32276? 6 What is the hundreds digit of 491? 4 What is the tens digit of 295? 9 What is the units digit of 374? 4 What is the units digit of 10709? 9 What is the thousands digit of 34406? 4 What is the units digit of 14672? 2 What is the thousands digit of 5787? 5 What is the thousands digit of 2255? 2 What is the hundreds digit of 113518? 5 What is the hundreds digit of 1027? 0 What is the units digit of 5036? 6 What is the thousands digit of 24376? 4 What is the hundreds digit of 1035? 0 What is the units digit of 19096? 6 What is the ten thousands digit of 32135? 3 What is the thousands digit of 3117? 3 What is the hundreds digit of 2208? 2 What is the hundreds digit of 25735? 7 What is the units digit of 1457? 7 What is the tens digit of 928? 2 What is the thousands digit of 32724? 2 What is the hundreds digit of 119306? 3 What is the units digit of 12128? 8 What is the hundreds digit of 5743? 7 What is the thousands digit of 2164? 2 What is the tens digit of 18744? 4 What is the thousands digit of 8295? 8 What is the units digit of 3011? 1 What is the units digit of 11596? 6 What is the units digit of 3029? 9 What is the thousands digit of 14495? 4 What is the hundreds digit of 14437? 4 What is the thousands digit of 58123? 8 What is the tens digit of 17330? 3 What is the units digit of 8971? 1 What is the hundreds digit of 201? 2 What is the hundreds digit of 37947? 9 What is the thousands digit of 1316? 1 What is the units digit of 8809? 9 What is the units digit of 1267? 7 What is the units digit of 288? 8 What is the units digit of 789? 9 What is the tens digit of 6199? 9 What is the thousands digit of 1318? 1 What is the hundreds digit of 1267? 2 What is the ten thousands digit of 22970? 2 What is the ten thousands digit of 77346? 7 What is the units digit of 655? 5 What is the thousands digit of 8075? 8 What is the ten thousands digit of 19246? 1 What is the ten thousands digit of 15395? 1 What is the units digit of 18334? 4 What is the thousands digit of 1766? 1 What is the thousands digit of 16070? 6 What is the thousands digit of 25820? 5 What is the hundreds digit of 6966? 9 What is the units digit of 285? 5 What is the hundreds digit of 7128? 1 What is the ten thousands digit of 58818? 5 What is the units digit of 2564? 4 What is the units digit of 794? 4 What is the tens digit of 43621? 2 What is the ten thousands digit of 40680? 4 What is the units digit of 422? 2 What is the units digit of 19? 9 What is the ten thousands digit of 22755? 2 What is the tens digit of 2323? 2 What is the hundreds digit of 498? 4 What is the hundreds digit of 2642? 6 What is the hundreds digit of 2133? 1 What is the tens digit of 22202? 0 What is the thousands digit of 2924? 2 What is the tens digit of 63008? 0 What is the tens digit of 527? 2 What is the tens digit of 510? 1 What is the hundreds digit of 19601? 6 What is the hundreds digit of 168? 1 What is the units digit of 209? 9 What is the hundreds digit of 5560? 5 What is the ten thousands digit of 33045? 3 What is the thousands digit of 2573? 2 What is the tens digit of 143? 4 What is the hundreds digit of 851? 8 What is the units digit of 9955? 5 What is the hundreds digit of 14185? 1 What is the hundreds digit of 5627? 6 What is the units digit of 1944? 4 What is the hundreds digit of 1067? 0 What is the hundreds digit of 47281? 2 What is the thous
{ "pile_set_name": "DM Mathematics" }
c*a - 5 = -h*a. What is the units digit of a? 5 Let o(y) = -y**3 - 2*y**2 + 70*y + 2752. What is the tens digit of o(0)? 5 Let s(n) = 5*n**2 + n + 4. Let i(d) = -d**2 + 1. Let u(v) = -6*i(v) - s(v). Let r be u(10). Suppose r = -8*w + 9*w. What is the units digit of w? 0 Let u(k) = -2*k**3 + 5*k**2 + 2*k - 5. Let w be u(2). What is the hundreds digit of (-4)/(-3)*3 + w + 281? 2 Let h(a) = a**3 - 9*a**2 + 20*a + 31. Let u be h(5). Suppose -34*c + 612 = -u*c. What is the units digit of c? 4 Let j be (-42)/((-15)/5) - 3. Suppose -j*l + 12*l = 2. Suppose -i - 5*x = -2*i + 6, -2*i - l*x + 24 = 0. What is the tens digit of i? 1 Let m(b) = 743*b - 208. What is the units digit of m(5)? 7 Suppose 38 - 41 = -3*d, -d + 44476 = 5*g. What is the units digit of g? 5 Let f(z) = -z**3 + 29*z**2 - 23*z - 134. Let a be f(28). Suppose 17*n = -a*n + 8027. What is the hundreds digit of n? 3 Suppose -5*l + 4*n + 31 = -0*l, -2*n = 8. Suppose -62 = -2*z + 2*t + 102, 323 = 4*z - l*t. What is the tens digit of z? 7 What is the units digit of (348/(-90) + 4)*-6 - (-92668)/10? 6 Let z(f) = -f**3 - 3*f**2 - 3*f. Let c be z(-2). Suppose 23 = -3*o - 5*m, 2*m - 5 = -7. What is the units digit of 1 + c + o - 1*-140? 7 Suppose 5*x = -n + 10, x = -5*n + 9*n - 19. Suppose -582 = -3*f - 3*c, -n*c = -4*f - 6*c + 782. What is the hundreds digit of f? 1 Let s be (30/20)/((-2)/(-24)). Suppose 3*v + 3*m - 2898 = 0, 0 = v - 19*m + s*m - 960. What is the hundreds digit of v? 9 Suppose 0 = 3*k, -z + k + 191 = -129. Suppose -3*n + 0*n + 2*u = -499, 2*n - z = -5*u. What is the hundreds digit of n? 1 Let o = -15 + 88. Let l = -11 + o. Suppose l + 42 = 4*d - 4*s, s = -4*d + 129. What is the units digit of d? 1 Let x = 1782 - -34199. What is the ten thousands digit of x? 3 Suppose -t - t = -86. Let y = 47 - t. Suppose 2*z - y*z = -44. What is the tens digit of z? 2 Let c = -17 + 7. Let k(l) = -2*l**2 - 9*l + 5. Let y be k(c). Let w = 334 + y. What is the hundreds digit of w? 2 Let x(v) = -v - 14. Let u be x(-9). Let s(l) = -7*l**2 - 5. Let t(n) = -n**2. Let a(c) = -s(c) + 5*t(c). What is the tens digit of a(u)? 5 Let v(f) = -f**3 - 8*f**2 - 12*f + 15. Let q be (-12)/36 - ((-28)/(-6) + 2). What is the units digit of v(q)? 0 Let u be (0 - -1)/(7/38472*6). Let o = -75 + u. What is the units digit of o? 1 Let r(g) = -g**3 + 24*g**2 - 35*g + 31. What is the units digit of r(22)? 9 Suppose 3*f - 2*b + 2942 - 16783 = 0, -f + 5*b = -4618. What is the tens digit of f? 1 Suppose 19*u - 23*u + 420 = 0. Suppose -108*c + u*c + 9 = 0. Suppose 18 = f + 3*w, -c*f + 0*w - 2*w = -75. What is the units digit of f? 7 Let m = -802 + 9193. What is the tens digit of m? 9 Suppose 5*l + 138 - 8 = 0. Let g(i) be the second derivative of i**5/20 + 25*i**4/12 - 11*i**3/2 - 27*i**2/2 + 15*i + 2. What is the hundreds digit of g(l)? 1 Let u = -23 - -27. Let d be -1 - (24 - u) - 4. Let a = 50 + d. What is the tens digit of a? 2 Let q be 80/15*(-2)/(12/(-9)). Let u(d) = -d**2 + 54*d + 19. What is the hundreds digit of u(q)? 3 Let c = 1061 - 872. Suppose c*y + 138 = 195*y. What is the units digit of y? 3 What is the tens digit of (-833)/595 + 508433/20 + 5/(-4)? 1 Suppose -26 - 1 = -3*u. Suppose -u = -q - 6. Suppose 30 = -q*v + 60. What is the tens digit of v? 1 Let p(b) = 177*b**3 + 13*b**2 - b - 2. What is the units digit of p(3)? 1 Let x(w) = -w**3 - 3*w**2 + 6*w + 5. Let r be x(-4). Let g be (3*r/(-9) + 0)/(-1). Let v = g - -145. What is the tens digit of v? 4 Let q be (-546010)/(-40) + (-3)/12. Suppose -25*r - q = -51*r. What is the hundreds digit of r? 5 Let q = -684 - -366. What is the units digit of q/9*(-3 + (-12)/8)? 9 Let x be -4 + (3 + 5 - 50)/1. Suppose 4*f - 36 + 196 = 0. Let i = f - x. What is the units digit of i? 6 What is the thousands digit of 237/(-632) - (-1 + 297094/(-16))? 8 Suppose 0 = 48*m - 50*m + 5*z, -22 = m + 3*z. What is the tens digit of 1*((-4)/(-6))/(m/(-555))? 3 Let j be -1*(-15)/(-21) - (-4)/(-14). Let w be 4 + (3 - (-3)/j). Suppose 4*f + f + m = 854, w*f = 4*m + 688. What is the hundreds digit of f? 1 Suppose -c - 34 = -2*b + c, -4*b - 2*c = -50. Let t = 15 - b. What is the units digit of 13 + (-1 - -1 - (-2 - t))? 6 Suppose -5*b + 8*g - 13*g = -141465, -3*b - 4*g + 84874 = 0. What is the units digit of b? 8 Suppose -224776 = -18*g - 51364. What is the thousands digit of g? 9 What is the tens digit of 206730/(-75)*175/(-21)? 7 Let o(s) = -5*s**2 + 10*s - 12. Let f(q) = -4*q**2 + 9*q - 13. Let z(i) = 6*f(i) - 5*o(i). Let p be z(8). What is the tens digit of (-3 - -2)*(-4 - p)? 8 Let q = 5 + -2. Let j be -2 + 30/(2 + q). What is the units digit of ((-34)/j)/((-4)/24)? 1 Suppose 10*p - 127*p + 4944030 = -12*p. What is the thousands digit of p? 7 Let k = 52837 - 39612. What is the units digit of k? 5 Suppose 31*y - 14 = 24*y. Suppose -2*c - 3355 = -5*m + y*c, 2*c = -3*m + 1991. What is the units digit of m? 7 Suppose -3*m - 1 = 2*x + 4, 1 = -4*x - 3*m. Let q be 78 + 2*3/x. What is the tens digit of (-1)/(1 - 2 - (-80)/q)? 8 Suppose -5*o + 14544 = -4206. Suppose 5*t + 0*t = 5*q - o, q - 5*t - 754 = 0. What is the hundreds digit of q? 7 Let d(z) = -z**3 - 19*z - 19. Let c be d(-8). Suppose -c = -v + j, v - 5*j = 6*v - 3215. Suppose 456 = 10*s - v. What is the units digit of s? 0 Suppose 4*k = -5*q + 84455, -5*q - 5*k + 71288 = -13167. What is the tens digit of q? 9 Let o(l) = -3*l - 16. Let u be o(-6). Suppose -15 + 5 = -u*z. Let g(m) = 37*m + 29. What is the units digit of g(z)? 4 Let i = -15 - -57. Suppose 3*y - l + 4 = 0, -16 = 2*y - 0*l - 4*l. Let d = y + i. What is the units digit of d? 2 Suppose -1704794 = -6649*t + 6591*t. What is the thousands digit of t? 9 Let y be (-2)/((5/15)/((-1)/6)). Let r be ((-28)/(-42) - 2/(-6))/y. What is the units digit of (0 - r)/(((-40)/(-345))/(-8))? 9 Let y(p) be the second derivative of 12*p + 0 - 1/2*p**2 + 0*p**3 + 41/10*p**5 + 1/6*p**4. What is the tens digit of y(1)? 8 Suppose 0 = -157*a + 1513813 + 1164136. What is the units digit of a? 7 Suppose 4*u + 3*h - 55 + 44 = 0, 3*h + 19 = 2*u. Let c be -1*1*-134 - -2. Suppose -214 = -u*k + c. What is the tens digit of k? 7 Suppose -22*g + 45139 - 6485 = 0. What is the hundreds digit of g? 7 Suppose 10*j = 7*j. Suppose j - 8 = -4*v. Suppose -v*g = 8, -4*i + 2*g - 38 = -230. What is the units digit of i? 6 Suppose 4*y + 520 = -4*p, -p + 242 = -4*y - 263. Suppose 4*l + 2*k = 1354, -l - l + k = -679. Let z = y + l. What is the units digit of z? 2 Suppose 0 = 3*b - 2*z - 15376 - 31304, 30 = -5*z. What is the tens digit of b? 5 Let m(j) = 14*j**2 + 24*j**2 - 4 + 4*j**2 + 3*j - 6*j**2. Suppose g + g - 4*o + 24 = 0, -o = 3*g + 1. What is the units digit of m(g)? 4 Let j(r) = 8*r - 117. Let x be j(15). Suppose -5*s - 5*z = -0*z - 6025, z = -x*s + 3609. What is the thousands digit of s? 1 Suppose 0 = 26*r - 18*r - 69144. Suppose 7*s - r = -173. What is the thousands digit of s? 1 Let w(m) = m**2 - 3*m - 1. Let c be 5/((-25)/10)*-2. Let l be w(c). Suppose l*z - 106 = h + h, 5*z = -4*h + 206. What is the tens digit of z? 3 Let x(w) = -3*w. Suppose -2 = -2*z + 3*z. Let q be x(z). What is the tens digit of ((-8)/q)/(1/(-69)*2)? 4 Let k be (-68)/(-18) + 2/9. Let j(p) = 1. Let u(x) = -10*x - 47. Let y(h) = k*j(h) + u(h). What is the tens digit of y(-6)? 1 Suppose -3*i - 4 = 2, 3*w + 10*i - 145408 = 0. What is the hundreds digit of w? 4 Let a(h) = 8*h**3 + 5*h**2 - 7*h + 5. Let f(z) = z**3 + 10*z**2 + 12*z + 30. Let c be f(-9). What is the units digit of a(c)? 5 Suppose 13*z = 4 + 35. Suppose 0 = 2*p - z*v - 1289, -2*p + 2*v + 674 = -610. What is the units digit of p? 7 Let s(r) = -356*r + 47. Suppose 0 = -32*l + 14 - 78. What is the tens digit of s(l)? 5 Suppose 0 = 2*k - y - 12284, 3*y = 2*k - 11050 - 1246. What is the thousands digit of k? 6 Suppose 2*o = 5*z + 1, 5*o - 13 = -3*z + 5. Suppose 2*s - 2872 = 5*h, 0 = o*s + 2*h - 3829 - 479. What is the thousands digit of s? 1 Suppose 14*c - 2*c = -12. Let s be c*1 - (5 + (-9 - -3)). Suppose -6*h = -s*h - 6. What is the units digit of h? 1 Let s = 451 - 191. What is the units digit of s - 3 - (-8 - -4)? 1 Suppose j + 2*m = 17211, -3*m + 102501 = 4*j + 33672. What is the tens digit of j? 0 Let m(g) be the first derivative of -g**4/4 - 19*g**3/3 - 17*g**2/2 + 13*g + 36. Let
{ "pile_set_name": "DM Mathematics" }
for c. -10 Solve 5*t - 8*t - 6 = 0 for t. -2 Solve 0 = 5*k + 14 - 39 for k. 5 Solve -52*b + 60*b = 64 for b. 8 Solve 3*s = -2 - 1 for s. -1 Solve 10*g + 29 = -1 for g. -3 Solve 10*x + 198 = 118 for x. -8 Solve 24 = -2*k + 10*k for k. 3 Solve -8*s = -s - 21 for s. 3 Solve 16*p = -75*p + 182 for p. 2 Solve 60 = 11*v + v for v. 5 Solve 5*f - 10 = 7*f for f. -5 Solve -6*x + 1 - 7 = 0 for x. -1 Solve 6*t - 15 = t for t. 3 Solve -15*t - 43 = -13 for t. -2 Solve 0 = -2*z + 5*z + 3 for z. -1 Solve -3*p + 66 = 78 for p. -4 Solve 0 = -34*h - 56 - 80 for h. -4 Solve -115 = -40*s + 205 for s. 8 Solve 4*y - 26*y - 22 = 0 for y. -1 Solve -50 + 92 = 7*l for l. 6 Solve -6*d + 31 - 1 = 0 for d. 5 Solve 6 = -3*c + 3 for c. -1 Solve 162 - 196 = -17*n for n. 2 Solve -335*g + 327*g = 0 for g. 0 Solve 0 = 4*a + 234 - 234 for a. 0 Solve 40 - 65 = 5*x for x. -5 Solve 0 = -15*h + 453 - 363 for h. 6 Solve 20*m = 22*m - 10 for m. 5 Solve 6*z + 275 = 293 for z. 3 Solve -150 = 561*f - 576*f for f. 10 Solve 227*o - 25 = 232*o for o. -5 Solve -224*t - 12 = -220*t for t. -3 Solve 12*u + 44 = u for u. -4 Solve 0 = -46*t + 35*t - 77 for t. -7 Solve 15*h = 21*h - 30 for h. 5 Solve 30*c - 15*c = 60 for c. 4 Solve 156*y - 2 = 158*y for y. -1 Solve 0 = -275*c + 285*c - 70 for c. 7 Solve 17*r = -39 - 63 for r. -6 Solve 19*n = 24*n + 20 for n. -4 Solve 18*r - 8*r - 40 = 0 for r. 4 Solve 0 = -49*u - 173 + 614 for u. 9 Solve -l = 1 - 3 for l. 2 Solve 2*a + 246 = 43*a for a. 6 Solve -92 = 5*w - 57 for w. -7 Solve -31*l + 36 = 5*l for l. 1 Solve -362 = -20*l - 322 for l. 2 Solve 608*h = 610*h - 4 for h. 2 Solve 0 = 42*i - 2*i - 360 for i. 9 Solve -91 - 73 = 41*h for h. -4 Solve 0*x + 7*x - 10*x = 0 for x. 0 Solve 2*f - 14 + 6 = 0 for f. 4 Solve 39 = -7*m + 53 for m. 2 Solve 144 = -16*o + 32 for o. -7 Solve -g - 4 + 0 = 0 for g. -4 Solve -284*l + 282*l + 4 = 0 for l. 2 Solve -l + 30 = 27 for l. 3 Solve -12*v = -27*v - 75 for v. -5 Solve 0 = -17*a + 249 - 283 for a. -2 Solve 16*x + 3 = 19*x for x. 1 Solve -580 + 520 = -6*m for m. 10 Solve 3*n + 7*n - 50 = 0 for n. 5 Solve -16 + 13 = -r for r. 3 Solve 2*x = -3*x + 20 for x. 4 Solve -2 = 4*k - 10 for k. 2 Solve -8 = 2*v - 16 for v. 4 Solve -2 + 25 = 23*l for l. 1 Solve 0 = -4*t + 7*t - 18 for t. 6 Solve 6*k - 9*k = 0 for k. 0 Solve 23*w = 10*w for w. 0 Solve 35*x - 78 = 9*x for x. 3 Solve 28*r - 90 = 22 for r. 4 Solve 0 = -11*y + 12*y for y. 0 Solve 0 = 40*b + 98 + 102 for b. -5 Solve 12 = -24*b + 21*b for b. -4 Solve 2 - 7 = -5*a for a. 1 Solve -19*u = -4 - 15 for u. 1 Solve 36 = -6*h + 18*h for h. 3 Solve 5*i + 9 = 4 for i. -1 Solve -8*r + 98 = 82 for r. 2 Solve 10*g = -31*g + 123 for g. 3 Solve 24*d + 14 = -82 for d. -4 Solve 55*n + 360 = -190 for n. -10 Solve 0 = 103*y - 95*y + 40 for y. -5 Solve 345*l + 1 = 346*l for l. 1 Solve -112*i + 116*i = 20 for i. 5 Solve -33*k + 164*k = -655 for k. -5 Solve 0 = 98*n - 94*n + 12 for n. -3 Solve 5*p - 20 + 30 = 0 for p. -2 Solve 2*m = 8*m - 24 for m. 4 Solve 46*k + 12 = 40*k for k. -2 Solve -43*z = -45*z + 4 for z. 2 Solve -124*b + 36 = -133*b for b. -4 Solve 5*a + 8 = 3*a for a. -4 Solve 28*r = 31*r + 9 for r. -3 Solve 0 = -3*t - 10 + 7 for t. -1 Solve -1 + 13 = -4*m for m. -3 Solve 8*z = 9*z - 1 for z. 1 Solve -10 = z - 6 for z. -4 Solve -9*t - 103 + 85 = 0 for t. -2 Solve i + 17 = 12 for i. -5 Solve -76 = -10*k - 186 for k. -11 Solve -199*m = -36*m + 1304 for m. -8 Solve 0 = 23*o - 11*o - 48 for o. 4 Solve 0 = 27*x - 52 - 56 for x. 4 Solve 19*q = 14*q - 5 for q. -1 Solve 87 = -25*x - 38 for x. -5 Solve 15*d = 11*d - 20 for d. -5 Solve -66 = 20*a - 6 for a. -3 Solve 0 = -3*c - 159 + 150 for c. -3 Solve 6*k = 121 - 127 for k. -1 Solve 0 = -6*a - 4*a - 20 for a. -2 Solve 0 = 74*p + 146 + 224 for p. -5 Solve -17*n = -15*n - 6 for n. 3 Solve 701*u + 9 = 698*u for u. -3 Solve -32 = -7*q - 46 for q. -2 Solve 0 = 2*n - 11*n - 36 for n. -4 Solve -22 = 29*x - 167 for x. 5 Solve -2 + 26 = -4*g for g. -6 Solve 36*v - 57*v = 210 for v. -10 Solve -53 = -33*p + 13 for p. 2 Solve 6*o + 6709 - 6667 = 0 for o. -7 Solve 0 = 20*d + 6*d + 208 for d. -8 Solve 205*z = 211*z - 36 for z. 6 Solve 11*r - 4*r - 7 = 0 for r. 1 Solve -14*b - 41 - 15 = 0 for b. -4 Solve 71*w = 66*w + 15 for w. 3 Solve -27*f = -24*f - 15 for f. 5 Solve -5*g = 88 - 63 for g. -5 Solve 31*n = -44*n + 225 for n. 3 Solve 51*g + 136 = 17*g for g. -4 Solve 0*l - 2*l = -6 for l. 3 Solve -1703*x + 232 = -1674*x for x. 8 Solve 0 = 14*a - 24*a for a. 0 Solve 152*o = 155*o - 3 for o. 1 Solve 0 = -11*i + 13*i - 4 for i. 2 Solve -1 = 8*r + 23 for r. -3 Solve 0*s + 6 = -2*s for s. -3 Solve 8*a = 21*a - 13 for a. 1 Solve -30*s = -12*s + 36 for s. -2 Solve -10*t = -7 - 53 for t. 6 Solve 31*l + 0*l = -31 for l. -1 Solve -190 = 38*r - 76*r for r. 5 Solve 7*b = 4*b - 9 for b. -3 Solve -4478*s = -4479*s - 3 for s. -3 Solve 4*j + 311 = 299 for j. -3 Solve -40 = 422*d - 418*d for d. -10 Solve 18*z + 0*z = 90 for z. 5 Solve 4*g = 37*g + 165 for g. -5 Solve -18*o - 17 = 73 for o. -5 Solve 33*a - 408 = 84*a for a. -8 Solve 28*a + 78 = 15*a for a. -6 Solve 44 = -22*s - 22 for s. -3 Solve -20 = -11*n + 15*n for n. -5 Solve -4*w + 2 + 2 = 0 for w. 1 Solve 7*o = 4*o + 9 for o. 3 Solve 8*c = -8*c - 96 for c. -6 Solve -121*m + 123*m + 14 = 0 for m. -7 Solve -16 = 4*t - 4 for t. -3 Solve -3*q = -q for q. 0 Solve 24 = 12*h + 108 for h. -7 Solve -213*t + 14 = -220*t for t. -2 Solve 8 = -10*p - 62 for p. -7 Solve 9 + 7 = 4*i for i. 4 Solve 22 = 70*d - 118 for d. 2 Solve 13*z = 10*z + 15 for z. 5 Solve 48 = -23*b + 11*b for b. -4 Solve -25*v - 30 = -31*v for v. 5 Solve -y + 6*y - 20 = 0 for y. 4 Solve -10 = -5*v + 3*v for v. 5 Solve -112*h + 6 = -110*h for h. 3 Solve -13 = -31*v + 49 for v. 2 Solve 15*c - 175 = -325 for c. -10 Solve 76*b = -245 - 287 for b. -7 Solve 50*h - 399 = -7*h for h. 7 Solve 17 = 90*d - 107*d for d. -1 Solve -19*y = -13*y for y. 0 Solve 10 = -82*t + 80*t for t. -5 Solve 15*y - 192 = -162 for y. 2 Solve -3*g - 2 = -2*g for g. -2 Solve -28*f + 17*f - 66 = 0 for f. -6 Solve 10*o - 11 = -1 for o. 1 Solve 21 = -22*k + 43*k for k. 1 Solve -50 - 42 = -23*v for v. 4 Solve 16 = -o + 9*o for o. 2 Solve 48 = 261*i - 285*i for i. -2 Solve 0 = 33*h + 60 - 159 for h. 3 Solve -11*p + 3 = -12*p for p. -3 Solve -10*y = 5*y + 15 for y. -1 Solve 22*x + 75 = -3*x for x. -3 Solve -12*j = -19*j for j. 0 Solve -266*h = -263*h - 3 for h. 1 Solve 7 = 5*a - 13 for a. 4 Solve -153*u + 322 = -199*u for u. -7 Solve -72 = 621*d - 633*d for d. 6 Solve 46 = o + 46 for o. 0 Solve -5*q + 12 = 37 for q. -5 Solve 0*y = -8*y - 32 for y. -4 Solve -229*v + 6 = -223*v for v. 1 Solve 3*m + 9 = -0 for m. -3 Solve 0 = 20*u + 12*u for u. 0 Solve 98*c - 151*c = 371 for c. -7 Solve 2*r - 3 = -3 for r. 0 Solve 0 = -11*x - 2 - 53 for x. -5 Solve 22 = 10*n - 8 for n. 3 Solve 0 = 45*s - 27 - 18 for s. 1 Solve 10*i = 4*i - 6 for i. -1 Solve 94 = -14*i + 24 for i. -5 Solve 0 = 15*v + 137 - 227 for v. 6 Solve 5*l + 263 - 253 = 0 for l. -2 Solve 0 = -10*u - 20 for u. -2 Solve 3*n - 11 = -2 for n. 3 Solve 0 = -k + 2 - 6 for k. -4 Solve 16*o = 26*o - 80 for o. 8 Solve -21*t = -19*t - 2 for t. 1 Solve -13*t = 1 + 38 for t. -3 Solve 14 = r + 19 for r. -5 Solve 18*x - 38 - 34 = 0 for x. 4 Solve 868*t = 867*t for t. 0 Solve -133*d + 616 = -45*d for d. 7 Solve -3*s = 4*s + 28 for s. -4 Solve 23 = -6*w + 5 for w. -3 Solve p - 4*p = -9 for p. 3 Solve 2*x = -11 + 5 for x. -3 Solve 70*h - 32 = 62*h for h. 4 Solve -8*c - 379 + 435 = 0 for c. 7 Solve 125*x - 242 = -1242 for x. -8 Solve -4*w - 44 = -15*w for w. 4 Solve -7*t + 9 = -10*t for t. -3 Solve 0 = 2*c + 6*c + 24 for c. -3 Solve 0 = -y + 8 - 5 for y. 3 Solve -82*c + 55*c = -189 for c. 7 Solve -10*v + 2 + 8 = 0 for v. 1 Solve -11*p - 18 - 37 = 0 for p. -5 Solve 21*f - 44*f = -69 for f. 3 Solve -1760*d - 7 = -1761*d for d. 7 Solve 6*g - 4 = -22 for g. -3 Solve -44 + 80 = -9*h for h. -4 Solve -797 = 10*q - 837 for q. 4 Solve 26 = 13*m + 65 for m. -3 Solve 41*k - 37 = -78 for k. -1 Solve -52 + 72 = 4*p for p. 5 Solve -17*m + 32 = 66 for m. -2 Solve 0 = -128*h + 99*h + 116 for h. 4 Solve -25 = 3*a - 13 for a. -4 Solve -592 = 96*d - 112 for d. -5 Solve -2*j + j + 3 = 0 for j. 3 Solve 3*d + 2 = -4 for d. -2 Solve 15*x + 19*x = 204 for x. 6 Solve 0 = -18*y - 72 + 36
{ "pile_set_name": "DM Mathematics" }
= -353*u - 3639. Determine 7*i(f) + 4*t(f). 2*f - 1823 Let b(w) = -2*w**2 - 4. Let j(y) = 25*y**2 - 411*y + 42. Calculate -11*b(t) - j(t). -3*t**2 + 411*t + 2 Let h(i) = i**2 + 4*i**2 + 4*i - 4*i**2 + i**2 + 3*i**2 - 8. Let n(l) = l**2 + l - 2. Let c = 200 + -202. Calculate c*h(b) + 9*n(b). -b**2 + b - 2 Let x(j) = -4*j + 1. Let a(n) = -3*n + 1. Let c(t) = -2*t**2 + 55*t + 113. Let w be c(-2). Give w*x(u) + 6*a(u). 2*u + 1 Let b(z) = -z**2 - z. Let n be 1200/(-112) - (-36)/(-28). Let y(w) = 12*w. Give n*b(v) - y(v). 12*v**2 Let q(c) = -3*c - 2. Let w(f) = 10*f + 6. Let l be (742/42)/(1*1/6). Let y = -90 + l. Calculate y*q(u) + 5*w(u). 2*u - 2 Let x(u) = -1 - 2*u - 1 - 1. Let s(h) = -1. Let j = 678 - 664. Suppose -3*m = w + j, 4*m + 1 + 11 = -3*w. Determine m*s(y) + x(y). -2*y + 3 Let y(k) = -103*k - 113. Let v(r) = -378*r - 451. Determine -6*v(z) + 22*y(z). 2*z + 220 Let d(t) = 8*t**3 - 3*t**2 - 6*t + 4. Let o(k) = -23*k**3 + 9*k**2 + 17*k - 11. Suppose -2*z = -3*a - 49, 19*z - 81 = 5*a + 15*z. Calculate a*d(u) - 6*o(u). 2*u**3 - 3*u**2 - 2 Let s(w) = -32*w + 5. Let j(h) = -8*h + 1. Let c = -4971 + 4980. What is c*j(u) - 2*s(u)? -8*u - 1 Let b(g) = -9*g**2 - 1. Let v(i) = 7*i**2 + 1. Let l(p) = 4*b(p) + 5*v(p). Let d = 255 + -295. Let c(n) = 9*n**2 - 8. Determine d*l(r) - 5*c(r). -5*r**2 Let h(d) = 1262*d**2 - 2*d + 20. Let u(q) = 6310*q**2 - 10*q + 106. Give -16*h(f) + 3*u(f). -1262*f**2 + 2*f - 2 Let g(h) = -h - 1. Let w(y) = 3264*y**3 - 6*y - 6. Determine 6*g(s) - w(s). -3264*s**3 Let p(f) = 2*f**3 + f**2 - f - 1. Let o(d) = -5*d**2 + 40*d**2 - d - 1 + 0 - 11*d**2 - 23*d**2. Determine 5*o(g) - 5*p(g). -10*g**3 Let o(s) = 24*s**2 - 5*s + 5. Let h(t) = 11*t**2 - 2*t + 2. Let m(r) = 5*h(r) - 2*o(r). Let b(u) = -6*u**2. Let n = 9 - 11. Determine n*m(a) - 3*b(a). 4*a**2 Let l(c) = c**3 - 5*c**2 - 9*c - 6. Let b be l(-1). Let k(y) = 25*y + 9. Let v(w) = 12*w + 5. Calculate b*k(n) + 5*v(n). -15*n - 2 Let s(t) = -5*t**3 + 6*t**2 - 8*t - 11. Let b be (-72 - -2)/10 + 4. Suppose -k - 12 + 4 = 0. Let q(o) = 2*o**3 - 2*o**2 + 3*o + 4. What is b*s(n) + k*q(n)? -n**3 - 2*n**2 + 1 Let r(c) = -13*c**2 + 8. Let q(u) = -4*u**2 + 3. Let s(v) = -6*v + 166. Let k = 297 + -268. Let w be s(k). Calculate w*q(l) + 3*r(l). -7*l**2 Let r(q) = -31*q**2 + 7*q - 7. Let x = -439 - -444. Let w(t) = 16*t**2 - 4*t + 4. Calculate x*w(j) + 3*r(j). -13*j**2 + j - 1 Let f(x) be the third derivative of -x**6/120 - 13*x**2 + 22*x - 3. Let z(o) = 4*o**3 + 2*o + 2. What is -5*f(c) + z(c)? 9*c**3 + 2*c + 2 Let h(b) = 18*b + 1. Let k(r) = -16116*r - 869. Give 1738*h(c) + 2*k(c). -948*c Let y(i) = -i + 2. Let u(b) = 6*b - 10. Let j = 37041 + -37057. Suppose 4*h = -2*q - 11 + 5, 0 = 3*h - 5*q + 24. What is h*u(t) + j*y(t)? -2*t - 2 Let t = 3392 - 1971. Suppose v + t - 1416 = 0. Suppose 3*n = n - 28. Let s(r) = -7*r - 3. Let x(g) = 20*g + 8. Give n*s(h) + v*x(h). -2*h + 2 Let v(i) = 5*i - 2. Let n = 239 + -239. Suppose 30*f - 170 - 130 = n. Let t(b) = 10*b - 5. Determine f*v(a) - 4*t(a). 10*a Let q(o) = 48*o**3 - 8*o**2 + 8. Let y(g) be the second derivative of -8*g**5/5 + 5*g**4/12 - 5*g**2/2 - 179*g + 26. Determine 5*q(b) + 8*y(b). -16*b**3 Let f(x) = -12*x + 1. Let k(a) = -15*a - 31. Determine -6*f(w) - k(w). 87*w + 25 Let v(b) = -b. Let a = -9 + 16. Let c(h) = 2404*h - 20. Let i(w) = -2885*w + 24. Let x(r) = 6*c(r) + 5*i(r). Give a*x(l) - 3*v(l). -4*l Let j(t) = -124*t + 24. Let c(z) = -2336 + 1172 - 25*z + 1169. Give -24*c(x) + 5*j(x). -20*x Let u(b) = -9123*b - 10. Let z(j) = 22*j + 2. Calculate -u(n) - 6*z(n). 8991*n - 2 Let j = 809 - 806. Let i(x) = -103*x + j + 47*x - 5 + 59*x. Let d(c) = -3*c + 2. What is 2*d(y) + 3*i(y)? 3*y - 2 Let c(g) = 79*g**2 - 4*g - 171. Let z(u) = -77*u**2 + 4*u + 152. Give -8*c(m) - 9*z(m). 61*m**2 - 4*m Let q(f) = -6*f**3 - 2*f**2 + 5*f - 5. Let v = -173 + 178. Suppose -w + v = -2*w. Let h(c) = -c**3 + c - 1. What is w*h(j) + q(j)? -j**3 - 2*j**2 Let i(x) = x + 4. Suppose 2*w = 5*w. Let q be 4/6*9 + w. Let s(j) = 1. Let k = 460 - 461. Give k*i(f) + q*s(f). -f + 2 Let o(b) = 5*b + 1. Let j(m) = -432 + 240 + 192 - m. What is 4*j(q) + o(q)? q + 1 Let n = -20 + 23. Let x(i) = -15*i + 337. Let l be x(23). Let d(w) = 14*w + 32. Let m(h) = 5*h + 11. Calculate l*m(k) + n*d(k). 2*k + 8 Let t(r) = -21*r**2 + 5*r - 24. Let k = 23295 - 23297. Let j(n) = -5*n**2 + n - 6. Give k*t(d) + 9*j(d). -3*d**2 - d - 6 Let d(l) = 125*l + 134*l - 3*l**3 - 394*l - 6*l**3 + 129*l. Let x be 3/(1 - (2 - 2)). Let c(k) = -5*k**3 + 11*k + k**x + 3*k**3 - 12*k. Give -6*c(s) + d(s). -3*s**3 Let b(a) = 2*a + 2. Let y(m) = 10*m + 3. Let z(u) = 3*u + 1. Let f(d) = -2*y(d) + 7*z(d). Suppose -69*n = -70*n - 2, 6 = -2*l - 5*n. Calculate l*f(s) - 2*b(s). -2*s - 2 Let p(r) = -462*r**2 + 21*r + 1. Let j(n) = 923*n**2 - 47*n - 3. Determine -2*j(g) - 5*p(g). 464*g**2 - 11*g + 1 Let w(m) = 4*m**3 + 3*m**2 - 11*m + 1. Let d(k) be the first derivative of 3*k**4/4 + 2*k**3/3 - 5*k**2 + k - 77. Calculate -3*d(b) + 2*w(b). -b**3 + 8*b - 1 Let o(p) be the second derivative of 2*p + 1/6*p**4 - 11 + 2*p**2 + 2/3*p**3. Let u(l) = l**2 + 2*l + 2. What is -4*o(f) + 9*u(f)? f**2 + 2*f + 2 Let h(k) = 5*k**2 - 3*k - 4. Suppose 2*s - 45 = -5*n - 37, n - 20 = -5*s. Let d(u) = 1. Calculate s*d(t) + h(t). 5*t**2 - 3*t Suppose 85*x + 292 + 133 = 0. Let n(s) = s**3 + 4*s**2 - 4*s. Let i(f) = -f**3 - 5*f + 2*f**3 + f**3 + 5*f**2. Give x*n(b) + 4*i(b). 3*b**3 Let q(c) = -124*c**3 - c**2 + 6*c + 1. Let u(h) = 123*h**3 - h**2 - 4*h - 1. Calculate -2*q(v) - 3*u(v). -121*v**3 + 5*v**2 + 1 Let z(i) = -27679*i + 7 - 11 + 27684*i. Let h(s) = -9*s + 7. Let l be 0 + 2 + -6 + 1. Let v be (-4)/2*15/l. Calculate v*z(b) + 6*h(b). -4*b + 2 Let j(d) = -5*d**2 + 3*d. Let p(x) = -6*x**2 + 2*x. Let f be -6 + (-22)/(-77)*14. Give f*p(n) + 3*j(n). -3*n**2 + 5*n Let t(y) = y**2 + 10*y + 27. Let l be t(-7). Let p(b) = l*b - b + 6*b - 10*b. Let x be 2/(-2)*1*-1. Let m(j) = -j + 1. What is x*m(g) + 2*p(g)? g + 1 Let u(a) = -16*a**3 - 10*a**2 + 7*a + 4. Let v(y) = -31*y**3 - 19*y**2 + 10*y + 7. What is 11*u(i) - 6*v(i)? 10*i**3 + 4*i**2 + 17*i + 2 Let b(r) = 35*r + 3. Let k(w) be the second derivative of -496*w**3 - 128*w**2 - 102*w - 4. Calculate 256*b(x) + 3*k(x). 32*x Let v(s) = -s**3 + 38*s**2 - 7*s - 7. Let q(w) = 19*w**3 - 25*w**2 - w + 5. Let u(d) = 3*d**3 - d. Let h(o) = q(o) - 6*u(o). Determine -7*h(k) - 5*v(k). -2*k**3 - 15*k**2 Let m(d) = 8*d - 4. Let u be (2 + (-3)/9)*(10 - (-65)/(-5)). Let l(z) = -2*z + 1. Let t(o) = -13*o + 6. Let b(i) = -3*l(i) + t(i). What is u*m(v) - 6*b(v)? 2*v + 2 Let r(z) = -37*z + 16. Let i(q) = -18*q + 8. Let c(s) = 9*i(s) - 4*r(s). Let f(u) = -1 - 5*u + 7 - 9 + 6. Determine -3*c(w) + 8*f(w). 2*w Let j(r) = -r**2 + r - 7. Let b(h) = 48*h**2 - 9*h + 30. Give b(s) + 4*j(s). 44*s**2 - 5*s + 2 Suppose -2*k = -3*z - 80 + 60, -4*k - 20 = 4*z. Let p(j) = -3*j**3 + 7*j - 6. Let d(h) = -h**3 - 1. Calculate k*p(a) - 6*d(a). 3*a**3 + 7*a Let q(y) = 174*y + 22219. Let r(w) = 55*w + 7406. Determine -6*q(t) + 19*r(t). t + 7400 Let i(q) = 2*q**2 + 29*q**3 + 2 + 38*q**3 + 35*q**3 - 4*q - 136*q**3 + 28*q**3. Let b(k) = -12*k**3 + 3*k**2 - 7*k + 3. Give -4*b(u) + 7*i(u). 6*u**3 + 2*u**2 + 2 Let r = -4 + 8. Suppose r*h + 2 = 5*h. Let t(z) = 4*z + 10. Let k(f) = f + 2. Suppose 3*c + 1 = a, 35*a - 3 = 36*a - 2*c. Calculate a*k(q) + h*t(q). -3*q - 2 Let k(b) = 3*b + 3*b - 2 - b - 4*b. Let c = -38 - -59. Let h = -20 + c. Let p(l) = -l + 1. What is h*p(g) - k(g)? -2*g + 3 Let l(b) = -22*b - 380. Let g(f) = -4*f - 15. What is g(o) - l(o)? 18*o + 365 Let d(j) = 10733*j**3 - 3*j**2 - 3*j - 3. Let i(t) = 10741*t**3 - 2*t**2 - 2*t - 2. Determine -2*d(v) + 3*i(v). 10757*v**3 Let d(f) = 304*f. Let t(u) = -16*u. Let m = -2498 - -2554. Determine m*t(a) + 3*d(a). 16*a Let f(c) = 10*c - 426. Let v(g) = -9*g + 543. Determine 3*f(w) + 2*v(w). 12*w - 192 Let s(u) = 0*u + 19*u - 5*u - 13*u. Let i(f) be the first derivative of 2*f**2 + 2. Let z be (-8 + (-52)/(-13))/(4/6). Determine z*s(c) + i(c). -2*c Suppose -7*r + 46 = -30*r. Let i(z) = 11*z - 39. Let x(m) = -5*m + 19. Determine r*i(j) - 5*x(j). 3*j - 17 Let z(p) = -78*p**3 - 8*p**2 + 25*p + 5. Let j(q) = 77*q**3 + 8*q**2 - 30*q - 6. What is -5*j(s) - 6*z(s)? 83*s**3 + 8*s**2 Let n(h)
{ "pile_set_name": "DM Mathematics" }
? 3168 What is next in 1699, 6798, 15297, 27196, 42495, 61194, 83293? 108792 What is next in 3146, 12560, 28256, 50240, 78518, 113096? 153980 What is next in -153243, -306487, -459731? -612975 What is the next term in -61, -128, -335, -754, -1457, -2516, -4003? -5990 What is the next term in 64, 38, 20, 16, 32, 74, 148? 260 What is the next term in -772, -840, -910, -982? -1056 What comes next: 12597, 25257, 37909, 50547, 63165, 75757? 88317 What is next in -612, 2164, 6790, 13266? 21592 What is the next term in -11885, -11888, -11891? -11894 What is the next term in -565, -570, -583, -610, -657, -730? -835 What is next in 776, 783, 792, 803, 816, 831? 848 What is next in -59432, -118872, -178316, -237764? -297216 What comes next: -1768, -14087, -47524, -112639, -219992, -380143, -603652, -901079? -1282984 What is next in 552, 74, -732, -1872, -3352? -5178 What is next in 11470, 22924, 34352, 45742, 57082? 68360 What is the next term in 1757, 3490, 5223, 6956, 8689? 10422 What is next in 101, 296, 491? 686 What comes next: 1858, 7388, 16584, 29446, 45974, 66168? 90028 What is next in -76530, -76542, -76554, -76566, -76578, -76590? -76602 What comes next: 176, 1278, 4260, 10070, 19656, 33966? 53948 What comes next: 24005, 23977, 23899, 23747, 23497, 23125, 22607, 21919? 21037 What comes next: -3013, -6024, -9035? -12046 What comes next: 694654, 694653, 694652? 694651 What is the next term in 2173, 4330, 6489, 8650? 10813 What is next in 55970, 55997, 56048, 56129, 56246, 56405, 56612, 56873? 57194 What comes next: 1102, 1115, 1134, 1159, 1190, 1227? 1270 What is next in -510, -551, -664, -885, -1250? -1795 What is the next term in -236656, -473312, -709968, -946624, -1183280? -1419936 What is the next term in -260, -333, -208, 115? 636 What comes next: -82, 187, 812, 1793, 3130? 4823 What is the next term in 6100, 6025, 5950, 5875, 5800? 5725 What comes next: 49, 302, 701, 1234, 1889, 2654, 3517? 4466 What is next in 105, 110, 149, 240, 401, 650, 1005, 1484? 2105 What is next in 523, 486, 449, 412? 375 What is next in -109, -117, -99, -43, 63? 231 What is the next term in -1091, -3985, -8801, -15533, -24175? -34721 What is the next term in -729, -823, -925, -1035, -1153? -1279 What comes next: -104, -439, -1008, -1817, -2872, -4179, -5744, -7573? -9672 What is next in 34, 226, 538, 970? 1522 What comes next: 4756, 4737, 4692, 4609, 4476, 4281? 4012 What is the next term in 774, 3122, 7092, 12732, 20090? 29214 What is the next term in -330, -900, -1692, -2706, -3942, -5400? -7080 What is the next term in -818, -1575, -2332, -3089, -3846, -4603? -5360 What is next in -48, 189, 842, 2121, 4236, 7397? 11814 What is the next term in 33773, 67495, 101217, 134939? 168661 What comes next: 2104, 4277, 6450, 8623, 10796? 12969 What is the next term in 903, 1792, 2635, 3408, 4087, 4648, 5067, 5320? 5383 What is the next term in 54225, 54226, 54229, 54234, 54241? 54250 What is the next term in -56, -490, -1672, -3974, -7768, -13426, -21320, -31822? -45304 What comes next: 564, 1087, 1610, 2133, 2656? 3179 What is the next term in -7249, -7258, -7267, -7276, -7285, -7294? -7303 What is the next term in -815, -3206, -7177, -12728? -19859 What comes next: 179205, 179219, 179233, 179247? 179261 What comes next: 1143, 9076, 30601, 72516, 141619, 244708, 388581? 580036 What comes next: 575, 1173, 1771? 2369 What is next in 108, 309, 682, 1257, 2064, 3133, 4494, 6177? 8212 What is the next term in -685, -767, -899, -1081, -1313, -1595, -1927? -2309 What is next in 1190, 1186, 1180, 1172, 1162, 1150? 1136 What is the next term in 145, 979, 2503, 4717? 7621 What is next in -218, -460, -702? -944 What is the next term in -246, -1138, -2626, -4710? -7390 What is next in 1870, 3750, 5640, 7540, 9450, 11370, 13300? 15240 What is next in -529, -1058, -1621, -2236, -2921? -3694 What is next in 161875, 323752, 485631, 647512, 809395, 971280? 1133167 What comes next: -584397, -584402, -584407? -584412 What is next in -242, -171, -112, -71, -54, -67, -116? -207 What is the next term in 618922, 1237844, 1856766? 2475688 What is the next term in -5835, -11661, -17483, -23301, -29115? -34925 What is the next term in 7667, 15341, 23015, 30689, 38363, 46037? 53711 What is next in -8061, -16163, -24267, -32373, -40481, -48591? -56703 What is the next term in 15531, 31080, 46645, 62226, 77823? 93436 What is next in 257724, 257727, 257730, 257733? 257736 What is the next term in -45721, -45723, -45725, -45727, -45729? -45731 What is the next term in 77, 43, -51, -235, -539? -993 What is next in -3756, -15016, -33790, -60084, -93904, -135256, -184146? -240580 What is next in 340, 1139, 1938? 2737 What comes next: -149273, -149302, -149349, -149414, -149497, -149598? -149717 What comes next: -40451, -80930, -121409, -161888? -202367 What is the next term in -301, -539, -777, -1015? -1253 What comes next: 679, 825, 975, 1129, 1287, 1449? 1615 What is the next term in 239, 218, 201, 188? 179 What is next in -530, 1637, 7514, 18955, 37814, 65945, 105202? 157439 What is the next term in 1183, 1094, 1005, 916? 827 What is the next term in -2366, -2012, -1658, -1304, -950, -596? -242 What comes next: -54870, -109731, -164592? -219453 What comes next: 281985, 563973, 845963, 1127949, 1409925, 1691885, 1973823? 2255733 What is next in -763, -3117, -7061, -12595, -19719, -28433? -38737 What is next in -6243, -12485, -18727, -24969? -31211 What is next in 36059, 36038, 36019, 36002? 35987 What is the next term in -26600, -26599, -26598? -26597 What comes next: 4492, 6985, 9492, 12019, 14572, 17157? 19780 What comes next: 301, 379, 563, 907, 1465? 2291 What is the next term in 37, 86, 213, 454, 845, 1422? 2221 What is the next term in -92, -45, 52, 205, 420, 703, 1060, 1497? 2020 What comes next: -115, -318, -585, -916, -1311, -1770? -2293 What is next in -514, -1041, -1554, -2047, -2514, -2949, -3346? -3699 What is next in 131411, 262815, 394213, 525605, 656991, 788371, 919745? 1051113 What is next in 1204, 1178, 1150, 1120, 1088? 1054 What is next in -6513, -13060, -19607, -26154? -32701 What is next in -525, -615, -767, -987, -1281? -1655 What is next in 58, 230, 512, 898, 1382, 1958, 2620, 3362? 4178 What comes next: -726, -1253, -1778, -2301, -2822? -3341 What is next in -15250, -15254, -15258, -15262, -15266, -15270? -15274 What comes next: 272, -811, -1882, -2935, -3964? -4963 What is next in 292588, 292595, 292606, 292621? 292640 What is the next term in -126, -307, -488? -669 What is next in 921, 972, 1057, 1176, 1329, 1516, 1737? 1992 What comes next: 33563, 67124, 100685, 134246, 167807? 201368 What is the next term in 4443, 4433, 4423, 4413? 4403 What is the next term in -5900, -5913, -5934, -5963, -6000, -6045? -6098 What is next in -13050, -13045, -13040? -13035 What is next in -12199, -12214, -12247, -12304, -12391, -12514, -12679? -12892 What is the next term in -118725, -237412, -356101, -474792, -593485, -712180, -830877? -949576 What is the next term in 6320, 25240, 56772, 100916, 157672, 227040, 309020? 403612 What is the next term in -2931, -5878, -8825, -11772, -14719? -17666 What is the next term in -422872, -422870, -422868? -422866 What is the next term in -55115, -110232, -165351, -220472, -275595, -330720, -385847? -440976 What is the next term in -1298747, -2597496, -3896245, -5194994, -6493743? -7792492 What is next in 1044722, 1044719, 1044716, 1044713, 1044710? 1044707 What is next in -616, -1224, -1832, -2440? -3048 What is next in -778720, -778729, -778738, -778747? -778756 What is the next term in 1367, 5880, 13401, 23930, 37467? 54012 What is next in 1600, 3268, 4936, 6604? 8272 What is the next term in -1161, -4713, -10651, -18975, -29685, -42781? -58263 What comes next: 771, 837, 915, 1005, 1107, 1221, 1347? 1485 What is the next term in 1395, 5366, 12007, 21336, 33371, 48130, 65631? 85892 What is the next term in 362827, 362823, 362807, 362773, 362715, 362627, 362503, 362337? 362123 What comes next: 4224, 4110, 3996, 3882, 3768? 3654 What comes next: -266, -1039, -2336, -4163, -6526, -9431, -12884? -16891 What is next in 96872, 96870, 96866, 96860, 96852? 96842 What is next in -231, -879, -1965, -3495, -5475? -7911 What comes next: 912, 1072, 1340, 171
{ "pile_set_name": "DM Mathematics" }
PM and 1:04 AM? 688 What is 366 minutes after 12:12 AM? 6:18 AM What is 385 minutes after 10:39 PM? 5:04 AM What is 429 minutes before 3:47 PM? 8:38 AM How many minutes are there between 9:13 PM and 1:26 AM? 253 How many minutes are there between 4:11 PM and 4:20 PM? 9 What is 605 minutes after 5:58 PM? 4:03 AM What is 126 minutes after 5:37 PM? 7:43 PM What is 669 minutes after 9:13 AM? 8:22 PM What is 324 minutes after 8:07 PM? 1:31 AM How many minutes are there between 3:42 AM and 9:06 AM? 324 How many minutes are there between 4:47 AM and 11:57 AM? 430 How many minutes are there between 3:50 PM and 4:43 PM? 53 What is 296 minutes before 9:46 PM? 4:50 PM How many minutes are there between 8:12 PM and 3:24 AM? 432 What is 44 minutes after 8:09 AM? 8:53 AM How many minutes are there between 4:41 PM and 7:06 PM? 145 How many minutes are there between 4:29 PM and 11:38 PM? 429 How many minutes are there between 7:48 AM and 1:05 PM? 317 How many minutes are there between 7:25 PM and 9:01 PM? 96 How many minutes are there between 4:29 PM and 4:17 AM? 708 How many minutes are there between 1:28 PM and 9:01 PM? 453 What is 707 minutes before 2:13 PM? 2:26 AM How many minutes are there between 8:22 PM and 10:00 PM? 98 How many minutes are there between 10:20 PM and 3:25 AM? 305 What is 110 minutes before 11:03 PM? 9:13 PM What is 52 minutes after 1:57 AM? 2:49 AM What is 572 minutes before 10:39 PM? 1:07 PM What is 103 minutes after 6:57 PM? 8:40 PM How many minutes are there between 2:35 AM and 1:21 PM? 646 How many minutes are there between 9:20 PM and 8:39 AM? 679 How many minutes are there between 4:51 PM and 10:19 PM? 328 What is 165 minutes after 8:18 PM? 11:03 PM What is 697 minutes after 7:39 PM? 7:16 AM How many minutes are there between 4:53 PM and 1:18 AM? 505 How many minutes are there between 8:17 AM and 5:15 PM? 538 What is 596 minutes after 10:20 PM? 8:16 AM How many minutes are there between 6:00 PM and 2:52 AM? 532 How many minutes are there between 10:02 PM and 10:04 PM? 2 What is 458 minutes after 7:47 AM? 3:25 PM What is 641 minutes before 2:59 PM? 4:18 AM What is 444 minutes after 4:55 AM? 12:19 PM What is 170 minutes before 7:32 AM? 4:42 AM What is 35 minutes after 1:44 AM? 2:19 AM How many minutes are there between 11:11 PM and 6:15 AM? 424 What is 120 minutes before 5:52 AM? 3:52 AM How many minutes are there between 7:04 PM and 7:55 PM? 51 What is 715 minutes after 8:54 PM? 8:49 AM How many minutes are there between 9:00 AM and 3:48 PM? 408 How many minutes are there between 6:10 PM and 1:35 AM? 445 How many minutes are there between 3:29 PM and 2:54 AM? 685 How many minutes are there between 2:54 AM and 7:43 AM? 289 How many minutes are there between 6:34 AM and 5:43 PM? 669 How many minutes are there between 7:16 PM and 10:33 PM? 197 How many minutes are there between 10:14 PM and 1:20 AM? 186 How many minutes are there between 9:36 AM and 8:51 PM? 675 What is 170 minutes before 10:51 AM? 8:01 AM How many minutes are there between 6:47 PM and 11:30 PM? 283 What is 685 minutes after 8:31 AM? 7:56 PM How many minutes are there between 10:18 AM and 11:34 AM? 76 How many minutes are there between 3:34 AM and 5:06 AM? 92 How many minutes are there between 9:34 AM and 11:06 AM? 92 What is 421 minutes after 10:43 PM? 5:44 AM How many minutes are there between 2:32 PM and 1:15 AM? 643 What is 36 minutes before 4:37 PM? 4:01 PM How many minutes are there between 1:41 PM and 1:30 AM? 709 What is 10 minutes before 12:49 AM? 12:39 AM How many minutes are there between 5:52 AM and 3:47 PM? 595 How many minutes are there between 12:34 AM and 5:57 AM? 323 What is 185 minutes after 8:59 PM? 12:04 AM What is 51 minutes before 3:13 AM? 2:22 AM What is 4 minutes after 8:36 PM? 8:40 PM What is 149 minutes after 7:33 PM? 10:02 PM What is 419 minutes after 10:59 PM? 5:58 AM What is 322 minutes after 12:04 PM? 5:26 PM How many minutes are there between 3:08 PM and 12:20 AM? 552 How many minutes are there between 1:34 AM and 12:20 PM? 646 How many minutes are there between 7:27 PM and 2:52 AM? 445 What is 289 minutes after 4:47 AM? 9:36 AM How many minutes are there between 5:41 AM and 3:46 PM? 605 What is 680 minutes before 10:48 AM? 11:28 PM How many minutes are there between 5:07 AM and 5:18 AM? 11 What is 223 minutes before 1:22 PM? 9:39 AM How many minutes are there between 10:09 AM and 3:09 PM? 300 What is 719 minutes after 10:27 PM? 10:26 AM How many minutes are there between 7:19 PM and 7:38 PM? 19 What is 123 minutes before 9:50 AM? 7:47 AM What is 264 minutes before 1:49 AM? 9:25 PM What is 155 minutes after 8:22 AM? 10:57 AM How many minutes are there between 7:14 PM and 5:44 AM? 630 How many minutes are there between 2:38 PM and 12:27 AM? 589 How many minutes are there between 2:40 PM and 2:46 PM? 6 How many minutes are there between 7:37 PM and 8:19 PM? 42 What is 62 minutes before 5:04 AM? 4:02 AM What is 25 minutes before 8:45 PM? 8:20 PM What is 36 minutes before 7:09 PM? 6:33 PM How many minutes are there between 7:51 PM and 4:46 AM? 535 How many minutes are there between 9:48 AM and 5:58 PM? 490 What is 372 minutes after 10:32 AM? 4:44 PM What is 331 minutes after 3:35 AM? 9:06 AM What is 672 minutes after 2:59 AM? 2:11 PM What is 578 minutes before 2:42 AM? 5:04 PM What is 203 minutes before 4:41 PM? 1:18 PM What is 708 minutes after 2:40 PM? 2:28 AM How many minutes are there between 7:15 AM and 11:29 AM? 254 How many minutes are there between 12:03 PM and 7:26 PM? 443 What is 457 minutes after 2:38 AM? 10:15 AM How many minutes are there between 3:13 PM and 5:38 PM? 145 What is 154 minutes before 10:51 PM? 8:17 PM How many minutes are there between 1:43 AM and 4:54 AM? 191 What is 581 minutes after 9:33 PM? 7:14 AM How many minutes are there between 5:43 AM and 4:52 PM? 669 What is 96 minutes after 1:04 PM? 2:40 PM What is 406 minutes before 5:58 AM? 11:12 PM What is 445 minutes before 1:32 PM? 6:07 AM How many minutes are there between 9:44 AM and 5:54 PM? 490 What is 568 minutes before 5:51 AM? 8:23 PM How many minutes are there between 8:47 PM and 1:24 AM? 277 How many minutes are there between 3:57 PM and 3:41 AM? 704 How many minutes are there between 4:37 AM and 9:01 AM? 264 What is 292 minutes before 11:44 AM? 6:52 AM What is 661 minutes after 6:06 PM? 5:07 AM How many minutes are there between 12:46 AM and 5:56 AM? 310 What is 44 minutes before 7:40 PM? 6:56 PM How many minutes are there between 10:11 PM and 10:49 PM? 38 How many minutes are there between 2:51 PM and 4:21 PM? 90 What is 480 minutes after 10:47 AM? 6:47 PM How many minutes are there between 1:22 PM and 11:34 PM? 612 How many minutes are there between 2:25 PM and 12:41 AM? 616 How many minutes are there between 10:57 AM and 7:19 PM? 502 What is 680 minutes before 1:22 AM? 2:02 PM How many minutes are there between 11:33 AM and 1:58 PM? 145 What is 385 minutes before 12:33 AM? 6:08 PM How many minutes are there between 8:51 PM and 12:05 AM? 194 How many minutes are there between 7:48 AM and 2:52 PM? 424 What is 657 minutes before 7:01 AM? 8:04 PM How many minutes are there between 7:49 AM and 9:59 AM? 130 What is 344 minutes after 3:36 AM? 9:20 AM How many minutes are there between 3:34 AM and 9:11 AM? 337 How many minutes are there between 5:33 PM and 6:24 PM? 51 What is 470 minutes after 2:17 PM? 10:07 PM What is 692 minutes before 3:25 AM? 3:53 PM What is 12 minutes after 11:54 AM? 12:06 PM How many minutes are there between 6:59 AM and 9:35 AM? 156 How many minutes are there between 11:56 AM and 1:47 PM? 111 What is 697 minutes before 7:41 PM? 8:04 AM What is 274 minutes after 10:14 AM? 2:48 PM How many minutes are there between 7:40 PM and 1:03 AM? 323 What is 117 minutes after 3:56 PM? 5:53 PM How many minutes are there between 9:51 AM and 5:29 PM? 458 How many minutes are there between 10:42 AM and 5:16 PM? 394 How many minutes are there between 5:59 AM and 3:05 PM? 546 How many minutes are there between 10:03 PM and 12:55 AM? 172 How many minutes are there between 4:11 AM and 4:13 AM? 2 What is 581 minutes after 8:50 PM? 6:31 AM How many minutes are there between 6:22 PM and 9:02 PM? 160 What is 194 minutes after 7:56 AM? 11:10 AM How many
{ "pile_set_name": "DM Mathematics" }