text stringlengths 270 8.19k | meta dict |
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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?
False
Is 34583 composite?
False
Is 34223 composite?
True
Is 451 composite?
True
Is 8749 composite?
True
Is 958 a composite number?
True
Is 125591 prime?
True
Is 23151 a prime number?
False
Is 2503 a composite number?
False
Is 12391 composite?
False
Is 2879 a prime number?
True
Is 9661 composite?
False
Is 12723 composite?
True
Is 4063 composite?
True
Is 2231 a prime number?
False
Is 2606603 a composite number?
False
Is 631 composite?
False
Is 145949 prime?
True
Is 2265019 prime?
True
Is 483611 a composite number?
False
Is 86923 a composite number?
False
Is 61293 prime?
False
Is 256279 prime?
True
Is 121229 prime?
True
Is 29483 a composite number?
False
Is 1195921 prime?
False
Is 84857 a composite number?
False
Is 409 prime?
True
Is 12443 composite?
True
Is 39113 a composite number?
False
Is 41201 a prime number?
True
Is 25657 prime?
True
Is 468439 prime?
True
Is 350633 a prime number?
False
Is 253049 a composite number?
False
Is 33323 a prime number?
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
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What c | {
"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?
True
Is 92915 a composite number?
True
Is 1901 prime?
True
Is 12713 a prime number?
True
Is 7453 composite?
True
Is 110963 a prime number?
False
Is 158902 a composite number?
True
Is 5333 composite?
False
Is 6449 composite?
False
Is 385177 a prime number?
False
Is 296909 a prime number?
True
Is 394073 composite?
False
Is 188171 a composite number?
False
Is 2393 prime?
True
Is 206837 a composite number?
True
Is 382037 a prime number?
True
Is 497103 prime?
False
Is 2583701 composite?
True
Is 1619 composite?
False
Is 587 composite?
False
Is 3041 a composite number?
False
Is 27785 prime?
False
Is 47555 prime?
False
Is 2188783 prime?
True
Is 1511 prime?
True
Is 2532963 a prime number?
False
Is 782209 a composite number?
False
Is 574477 a composite number?
False
Is 169987 prime?
True
Is 55147 a prime number?
True
Is 812587 a prime number?
True
Is 5231 prime?
True
Is 4037 a prime number?
False
Is 12443 prime?
False
Is 5857 composite?
False
Is 7801 prime?
False
Is 144379 prime?
True
Is 10061 composite?
False
Is 14477 prime?
False
Is 19121 composite?
False
Is 301 a composite number?
True
Is 106143 composite?
True
Is 5342 composite?
True
Is 289837 prime?
True
Is 22409 a prime number?
True
Is 2818 composite?
True
Is 37211 a prime number?
False
Is 207223 prime?
False
Is 1589 a prime number?
False
Is 58579 a prime number?
True
Is 105611 composite?
True
Is 188995 a prime number?
False
Is 8977 composite?
True
Is 182579 composite?
False
Is 58657 composite?
False
Is 222707 a composite number?
False
Is 12227 a prime number?
True
Is 10207 a prime number?
False
Is 141539 composite?
False
Is 22915 prime?
False
Is 271163 prime?
True
Is 122201 prime?
True
Is 77921 a composite number?
True
Is 1513219 a composite number?
False
Is 13043 a composite number?
False
Is 31802 a prime number?
False
Is 39929 a prime number?
True
Is 9371 a composite number?
False
Is 224219 composite?
True
Is 3967 a prime number?
True
Is 623 prime?
False
Is 22999 a prime number?
False
Is 916501 a composite number?
False
Is 16837 composite?
True
Is 4512617 a composite number?
False
Is 1175617 a composite number?
False
Is 158713 composite?
True
Is 50207 composite?
False
Is 5413 composite?
False
Is 73559 a composite number?
True
Is 54097 a composite number?
True
Is 19253 a composite number?
True
Is 11657 a prime number?
True
Is 16741 a composite number?
False
Is 965 a composite number?
True
Is 3079 a prime number?
True
Is 205565 prime?
False
Is 671 prime?
False
Is 373649 a prime number?
True
Is 285071 a prime number?
True
Is 4709 prime?
False
Is 176599 a prime number?
True
Is 90973 a composite number?
True
Is 1689737 prime?
False
Is 8459 composite?
True
Is 45062 composite?
True
Is 177043 composite?
False
Is 704999 a composite number?
False
Is 2252087 a composite number?
False
Is 155029 a composite number?
True
Is 39361 composite?
True
Is 134399 a prime number?
True
Is 189013 a prime number?
False
Is 229085 composite?
True
Is 33641 a prime number?
True
Is 19597 composite?
False
Is 37822 composite?
True
Is 63689 a composite number?
False
Is 1163663 composite?
False
Is 16357 prime?
False
Is 194365 a composite number?
True
Is 195581 a composite number?
False
Is 229399 a composite number?
False
Is 32827 composite?
True
Is 62401 prime?
True
Is 2669 composite?
True
Is 592313 a composite number?
True
Is 18169 composite?
False
Is 292063 composite?
True
Is 8407 a prime number?
False
Is 205521 composite?
True
Is 9923 prime?
True
Is 82699 a composite number?
False
Is 507779 a prime number?
True
Is 25733 a prime number?
True
Is 56141 composite?
True
Is 2201 a composite number?
True
Is 136241 a composite number?
True
Is 5911 a composite number?
True
Is 18329 a prime number?
True
Is 899 composite?
True
Is 194657 a prime number?
False
Is 6641891 composite?
False
Is 24029 prime?
True
Is 955057 a composite number?
True
Is 17153 a composite number?
True
Is 301123 composite?
False
Is 4399 composite?
True
Is 2420399 a prime number?
True
Is 274531 a composite number?
True
Is 2819 prime?
True
Is 33257 a composite number?
True
Is 384823 prime?
False
Is 12701 composite?
True
Is 12569 a composite number?
False
Is 1282 prime?
False
Is 30577 a prime number?
True
Is 1285 a prime number?
False
Is 519 a composite number?
True
Is 30854 a prime number?
False
Is 12937 a composite number?
True
Is 91771 prime?
True
Is 956051 prime?
True
Is 403309 a prime number?
True
Is 84659 a composite number?
False
Is 10903 prime?
True
Is 663127 a prime number?
True
Is 8153 a composite number?
True
Is 23857 a prime number?
True
Is 83347 a prime number?
False
Is 77069 a composite number?
False
Is 8803 a composite number?
False
Is 1473387 a prime number?
False
Is 48791 composite?
True
Is 1954 composite?
True
Is 228729 prime?
False
Is 711943 a composite number?
True
Is 38993 a prime number?
True
Is 21955 a composite number?
True
Is 778 a composite number?
True
Is 324293 a prime number?
True
Is 5116363 a composite number?
True
Is 5237063 a prime number?
False
Is 123887 a prime number?
True
Is 1270361 a composite number?
False
Is 324251 a composite number?
False
Is 210437 composite?
False
Is 434647 prime?
True
Is 13309 a composite number?
False
Is 264185 a composite number?
True
Is 215087 a composite number?
False
Is 3109 prime?
True
Is 223631 a composite number?
True
Is 3199 composite?
True
Is 41357 a composite number?
False
Is 375353 prime?
False
Is 1024057 a composite number?
True
Is 428861 a composite number?
True
Is 211379 prime?
False
Is 7120621 a composite number?
False
Is 1283 a composite number?
False
Is 1838 a composite number?
True
Is 4934 composite?
True
Is 70867 a prime number?
True
Is 8887 a composite number?
False
Is 5482 prime?
False
Is 4435 prime?
False
Is 12827 prime?
False
Is 755987 a prime number?
False
Is 142697 composite?
False
Is 55661 prime?
True
Is 214391 composite?
False
Is 4127 a prime number?
True
Is 449 prime?
True
Is 5077 composite?
False
Is 545401 prime?
False
Is 237821 a prime number?
True
Is 19702 a prime number?
False
Is 476947 prime?
False
Is 24637 a prime number?
False
Is 57299 prime?
False
Is 2005609 prime?
False
Is 1951 a composite number?
False
Is 367787 a composite number?
True
Is 38261 a prime number?
True
Is 1229218 composite?
True
Is 65359 composite?
True
Is 7817 a composite number?
False
Is 2234 a composite number?
True
Is 1506871 composite?
True
Is 108497 a prime number?
True
Is 67315 prime?
False
Is 479161 composite?
True
Is 35463 a prime number?
False
Is 11434 prime?
False
Is 116849 a prime number?
True
Is 214163 a composite number?
False
Is 7607 prime?
True
Is 442271 a composite number?
False
Is 14057 a prime number?
True
Is 34886 a prime number?
False
Is 63241 a prime number?
True
Is 193931 a composite number?
True
Is 18857 prime?
False
Is 58 a prime number?
False
Is 5779 prime?
True
Is 59 a composite number?
False
Is 2939 a prime number?
True
Is 20323 a composite number?
False
Is 35878 a composite number?
True
Is 223 composite?
False
Is 557 composite?
False
Is 1361 a composite number?
False
Is 83299 composite?
False
Is 4903 composite?
False
Is 3899 composite?
True
Is 239929 a prime number?
True
Is 751637 composite?
False
Is 170707 a prime number?
True
Is 14387 prime?
True
Is 827567 composite?
True
Is 20182 a composite number?
True
Is 83701 a prime | {
"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?
5460429
What is next in 43022, 44395, 45772, 47153?
48538
What is the next term in -356807, -1427115, -3210963, -5708351?
-8919279
What is the next term in 311977, 622234, 932491?
1242748
What is next in -32331, -64649, -96959, -129255, -161531?
-193781
What comes next: -974724, -974726, -974728, -974730, -974732?
-974734
What comes next: -5158740, -5158738, -5158736, -5158734, -5158732?
-5158730
What comes next: 261722, 1046890, 2355520, 4187624, 6543214, 9422302, 12824900, 16751020?
21200674
What comes next: -208, -348, -198, 440, 1764?
3972
What is next in 16604, 15648, 14696, 13748?
12804
What comes next: 137856114, 137856116, 137856116, 137856114?
137856110
What is next in -3279, -13134, -29563, -52566, -82143, -118294?
-161019
What is the next term in 615, 4727, 15901, 37671, 73571, 127135, 201897?
301391
What comes next: -279343, -558693, -838043, -1117393, -1396743, -1676093?
-1955443
What is the next term in 1258021, 2516131, 3774241?
5032351
What comes next: 271, 517, 697, 781, 739, 541?
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"
} |
digit of 20002?
2
What is the units digit of 4052?
2
What is the hundreds digit of 5719?
7
What is the tens digit of 5689?
8
What is the units digit of 1943?
3
What is the hundreds digit of 628?
6
What is the thousands digit of 9789?
9
What is the units digit of 28216?
6
What is the thousands digit of 32694?
2
What is the hundreds digit of 490?
4
What is the units digit of 4865?
5
What is the hundreds digit of 1386?
3
What is the hundreds digit of 149?
1
What is the hundreds digit of 23419?
4
What is the units digit of 2816?
6
What is the ten thousands digit of 66719?
6
What is the thousands digit of 1303?
1
What is the hundreds digit of 14266?
2
What is the hundreds digit of 1349?
3
What is the units digit of 27966?
6
What is the units digit of 10555?
5
What is the tens digit of 1189?
8
What is the units digit of 30326?
6
What is the thousands digit of 5453?
5
What is the ten thousands digit of 40528?
4
What is the hundreds digit of 141?
1
What is the hundreds digit of 19113?
1
What is the units digit of 26214?
4
What is the units digit of 15888?
8
What is the thousands digit of 2558?
2
What is the units digit of 6753?
3
What is the units digit of 3163?
3
What is the thousands digit of 38368?
8
What is the thousands digit of 5226?
5
What is the units digit of 880?
0
What is the units digit of 2866?
6
What is the hundreds digit of 4398?
3
What is the tens digit of 1102?
0
What is the thousands digit of 6472?
6
What is the units digit of 31922?
2
What is the units digit of 297?
7
What is the ten thousands digit of 12551?
1
What is the units digit of 8046?
6
What is the thousands digit of 1753?
1
What is the tens digit of 773?
7
What is the tens digit of 57259?
5
What is the tens digit of 2229?
2
What is the units digit of 32992?
2
What is the hundreds digit of 2267?
2
What is the thousands digit of 5396?
5
What is the units digit of 2241?
1
What is the units digit of 608?
8
What is the units digit of 794?
4
What is the units digit of 13451?
1
What is the hundreds digit of 1011?
0
What is the units digit of 6651?
1
What is the ten thousands digit of 10440?
1
What is the units digit of 28909?
9
What is the hundreds digit of 89648?
6
What is the units digit of 132033?
3
What is the tens digit of 1110?
1
What is the hundreds digit of 1096?
0
What is the tens digit of 1630?
3
What is the hundreds digit of 196?
1
What is the tens digit of 161?
6
What is the hundreds digit of 124479?
4
What is the hundreds digit of 82815?
8
What is the thousands digit of 73152?
3
What is the units digit of 1203?
3
What is the thousands digit of 162330?
2
What is the tens digit of 41340?
4
What is the hundreds digit of 11662?
6
What is the units digit of 2955?
5
What is the thousands digit of 39971?
9
What is the ten thousands digit of 17619?
1
What is the units digit of 3131?
1
What is the hundreds digit of 2696?
6
What is the units digit of 435?
5
What is the units digit of 114?
4
What is the thousands digit of 2168?
2
What is the hundreds digit of 163914?
9
What is the hundreds digit of 3007?
0
What is the thousands digit of 3721?
3
What is the tens digit of 84?
8
What is the ten thousands digit of 34253?
3
What is the hundreds digit of 11380?
3
What is the thousands digit of 1024?
1
What is the units digit of 7181?
1
What is the tens digit of 2925?
2
What is the tens digit of 17559?
5
What is the ten thousands digit of 12021?
1
What is the thousands digit of 12656?
2
What is the hundreds digit of 8337?
3
What is the tens digit of 775?
7
What is the units digit of 10003?
3
What is the hundreds digit of 6884?
8
What is the tens digit of 21?
2
What is the hundreds digit of 815?
8
What is the units digit of 1304?
4
What is the tens digit of 89605?
0
What is the units digit of 3345?
5
What is the tens digit of 5042?
4
What is the hundreds digit of 28512?
5
What is the units digit of 4384?
4
What is the units digit of 3776?
6
What is the thousands digit of 39453?
9
What is the hundreds digit of 249?
2
What is the tens digit of 2616?
1
What is the hundreds digit of 3401?
4
What is the hundreds digit of 4178?
1
What is the hundreds digit of 40805?
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"
} |
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