 Let n = -29 + s. Calculate the remainder when 31 is divided by n.
7
Let y(k) = 4*k + 455. What is the remainder when y(-27) is divided by 70?
67
Let o(l) be the third derivative of 13*l**4/24 - 4*l**3/3 + 32*l**2. What is the remainder when o(2) is divided by 10?
8
Let o(y) = y**2 - 20*y + 113. Calculate the remainder when 35 is divided by o(10).
9
Suppose 10*k - 560 = -360. Calculate the remainder when 68 is divided by k.
8
Let a(c) be the first derivative of -c**3/3 - 15*c**2/2 - 15*c - 10. Suppose 15 = -3*o, v + 5*o - 39 = -v. What is the remainder when v is divided by a(-13)?
10
Let g(v) = 2*v**3 - 3*v**2 - 10*v - 11. Let j be g(5). Let r = -91 + j. Calculate the remainder when 204 is divided by r.
20
Suppose -3*t - 3*o = -4*o - 13, -2*o = t - 2. Suppose 5 = -3*z - 7, z = -t*g + 80. Calculate the remainder when 102 is divided by g.
18
Let m(c) = 10*c**3 - 6*c**2 + 3*c - 41. Let k(a) = -3*a**3 + 2*a**2 - a + 14. Let q(w) = 7*k(w) + 2*m(w). Calculate the remainder when 94 is divided by q(0).
14
Let m = -43 - -60. Let f = 6 - m. Let g = 41 + f. What is the remainder when g is divided by 11?
8
Let x = -10 - -4. What is the remainder when 3/x*(-36)/(2 + -1) is divided by 4?
2
Let f = 947 + -914. What is the remainder when 109 is divided by f?
10
Calculate the remainder when 14/21*-3 - -60 is divided by 10.
8
What is the remainder when 135/6 + (-4)/(-8) + -1 is divided by 8?
6
Let z(t) = -t - 150. Let h(w) = w**2 - 11*w + 10. Let q be h(10). Let v be z(q). What is the remainder when ((-14)/7)/(4/v) is divided by 19?
18
What is the remainder when 18/1 + (-9 - -10) is divided by 0 - 0 - (-18 - 3 - -7)?
5
Let q be 5/(-15) + 21/9. Suppose 0 = -2*v + q*p + 28, 2*p = -2*v - 2*p - 2. What is the remainder when v is divided by 3?
0
Let n = 15 + -12. What is the remainder when 77 is divided by 4*6 - (n - -1)?
17
What is the remainder when 74 is divided by (56 - 58)/((-2)/4)?
2
Let u = -105 - -118. Let j(i) = 15*i**2 - i + 1. What is the remainder when j(-2) is divided by u?
11
Suppose 3*y = -3*z + 126, 0 = 3*y - z - 179 + 45. What is the remainder when y is divided by 3?
2
Let o = -7 + 10. Let a be 2/4*(5 + 105). Suppose 6*x + g - a = x, 4*g = -20. Calculate the remainder when x is divided by o.
0
Suppose 0 = -7*o + 448 + 490. Calculate the remainder when o is divided by 80.
54
Suppose o + 4 = 2. Let s be (-9)/o*(-10)/5. Let f = s - -17. Calculate the remainder when 29 is divided by f.
5
Suppose 21*a - 30 = 18*a. Calculate the remainder when 21 is divided by a.
1
Suppose -4*j + 270 = x, -5*j - 39 = x - 306. What is the remainder when x is divided by 19?
16
Let c be -2 - 0 - -1 - 1/(-1). Calculate the remainder when (c - -28) + (2 + -4 - 0) is divided by 6.
2
Suppose -5*f + 173 = 3*r, 0 = -2*f + 7*f - 2*r - 193. What is the remainder when 73 is divided by f?
36
Suppose 0 = 15*r + 1032 - 1182. Calculate the remainder when 448 is divided by r.
8
Suppose -5*l + 172 = -i, 3*l + 33*i = 30*i + 96. Calculate the remainder when 62 is divided by l.
28
Let y(f) = 19*f - 77. What is the remainder when y(7) is divided by 15?
11
Let c = -2345 + 2368. What is the remainder when 63 is divided by c?
17
Suppose 47*w = 735 + 252. What is the remainder when 649 is divided by w?
19
Let g = 1405 + -1301. What is the remainder when 830 is divided by g?
102
Suppose -k - 13 = -z + 3*k, -3*k = 12. Let y(q) = -q**2 - 3*q + 4. Let b be y(z). Suppose 0 = b*p - 19 - 25. What is the remainder when 40 is divided by p?
7
Suppose i - 2 = 5*v, -v - 34 = -4*i + 69. Calculate the remainder when 62 is divided by i.
8
Let g(o) = -o**3 - 5*o**2 + o - 2. What is the remainder when 2125 is divided by g(-6)?
25
Suppose 25 = t - 5*o + 85, -t + o = 52. Let n = -12 - t. Calculate the remainder when n is divided by 11.
5
Let u(a) = -a**2 + a - 28. Let r be u(0). Let g = -24 - r. Suppose g*y = -44 + 296. What is the remainder when y is divided by 16?
15
Let i be (-2)/11 + 70/22. Suppose -8*p = -i*p - 50. Let b(u) = u**3 - 4*u**2 + 13*u - 62. What is the remainder when b(5) is divided by p?
8
Suppose -4*r - r = -115. Suppose -5*o + 27 = -2*o. Calculate the remainder when -2 - (-3)/(o/141) is divided by r.
22
Let b = -35 + 45. Calculate the remainder when -2*(b/20 - 21/2) is divided by 6.
2
Let k = 45 - 26. Calculate the remainder when (-18)/(-3) + 80 + -12 is divided by k.
17
Suppose -8*l + 1295 + 545 = 0. Calculate the remainder when l is divided by 18.
14
Let y = 22 + -19. Suppose -y*c + 6*c - 78 = 0. What is the remainder when c is divided by 14?
12
Let d = 1184 - 1156. Calculate the remainder when 152 is divided by d.
12
Suppose n = 7*n - 30. Suppose -2*o - n*c = -4*o - 291, 3*c = 3. Calculate the remainder when (-1 - 0) + -3 - o is divided by 28.
27
Let s(w) = w**3 + 7*w**2 + 4*w - 6. Let n be s(-6). Suppose n*z + 7 = 61. Calculate the remainder when 24 is divided by z.
6
What is the remainder when (-2 - 2) + (-1687)/(-7) is divided by 61?
54
Let a = -170 + 194. What is the remainder when 42 is divided by a?
18
Suppose 0 = -4*l + 8, -4*t + 1 = 3*l + 15. Let z be t - (2 + (1 - 4)). Let m(i) = -i**3 - 3*i**2 - 1. What is the remainder when m(z) is divided by 8?
7
Suppose -2*d - d + c = -90, -5*d - 2*c = -161. Calculate the remainder when 59 is divided by d.
28
Let l be 114/(-14) + 5/35. What is the remainder when (-27)/3*(-16)/6 is divided by 6*(4/l + 2)?
6
Suppose -18 - 3 = -z - 5*p, -z - p + 25 = 0. Let r = z - -25. What is the remainder when r is divided by 128/10 + (-1)/(-5) + (-370)/(-74)?
15
Let m be 2*((-9)/2 + 0). Suppose -3*h + b = -158, 0 = 2*h + 2*b + 2*b - 124. Calculate the remainder when (-2)/m - (-1770)/h is divided by 17.
16
Suppose 3*o + 0*o = 75. What is the remainder when o is divided by 1 - (-4)/4*6?
4
Suppose r = 4*y + 4, -21 + 65 = 3*r + 4*y. Let a = 7 - 5. Calculate the remainder when 136/(-6)*(-3)/a is divided by r.
10
Let z(k) = -k**2 + 1. Suppose 0 = -j + 5*j - 8. Let a be z(j). Calculate the remainder when 10 is divided by -3 + (a - -3) + 6.
1
Let r = 2041 - 2027. What is the remainder when 19 is divided by r?
5
Suppose 4*y = 2*g - 20, -8*y + 4*y - 26 = -3*g. Let u be (4 - g - 0) + 11. Suppose -u*w + 5*w = -208. What is the remainder when w is divided by 11?
8
Suppose -71 = -36*z + 181. Suppose u - 4*u = -54. Calculate the remainder when u is divided by z.
4
Let o(f) = 7*f + 25. Let l(v) = -20*v - 75. Let k(j) = -6*l(j) - 17*o(j). What is the remainder when 96 is divided by k(0)?
21
Calculate the remainder when 557 is divided by 2 - 2 - 2 - (-71 + 49).
17
Let m = -507 - -522. Calculate the remainder when 222 is divided by m.
12
Suppose 6*x + 86 = 314. Calculate the remainder when x is divided by 10.
8
Suppose 137 = 5*p - 198. Let y = -28 + p. Calculate the remainder when y is divided by 9.
3
Let i(n) = 14*n - 243. What is the remainder when 44 is divided by i(19)?
21
Let c = -11 + 11. Suppose -k + 6*k - 10 = c. Suppose -k*a - 2*j = j - 32, 5*j = 5*a - 30. Calculate the remainder when a is divided by 3.
1
Let x(l) = -l**2 - 8*l + 24. Let y be x(-10). Suppose 5*o - 439 = -y. What is the remainder when o is divided by 18?
15
Suppose -2*f - 4*j = 0, 0*j = 2*j + 6. Calculate the remainder when f/21 + 472/14 is divided by 52/6 - (-9)/27.
7
Suppose 3*b - 3*d + 27 = 0, 4*b + 57 = -b - d. Suppose -3*p - 132 = -45. Let u = b - p. What is the remainder when 34 is divided by u?
16
Let m be (-459)/(-54) + 10/4. Suppose -4*o - 47 = 3*y, 4*y - y = -3. Let g = m - o. What is the remainder when 42 is divided by g?
20
Suppose -113 = -3*k - 2. Calculate the remainder when k is divided by (-41)/(-2) - (30/(-12) - -3).
17
Suppose c - 194 = -3*p, 3*p + 6 = -6. What is the remainder when c is divided by 42?
38
Suppose -203*m + 208*m + 3*k - 114 = 0, -2*m - k = -45. What is the remainder when 690 is divided by m?
18
Let i(n) = 3*n**2 - 8*n + 67. Calculate the remainder when 417 is divided by i(5).
9
Let d(h) = h**2 - 22*h + 41. Let k be d(10). Let r = 93 + k. What is the remainder when 221 is divided by r?
11
Let n = -454 + 643. Calculate the remainder when n is divided by 5/50 - 478/(-20).
21
Calculate the remainder when 538 is divided by (-213)/(-3) + 385/(-35).
58
Suppose -7*w - 552 = -11*w. Suppose -f + 0*p + 5*p + 44 = 0, -w = -4*f + p. What is the remainder when f is divided by 18?
16