
26
Let k(l) = -l**2 - 6*l. Let o(t) = 134*t - 5339. Calculate the remainder when o(40) is divided by k(-5).
1
Suppose 902 = 143*j - 1008 + 623. Let x(h) = -h**3 - 2*h. What is the remainder when x(-3) is divided by j?
6
Suppose -4*m = -d - 14, 5*m + 9*d - 13 = 8*d. Suppose 0 = w + 3*u - 2*u - 3, -2 = 4*w - 3*u. Calculate the remainder when 11 - (w + -1 - m) is divided by 7.
0
Let f(b) = b**3 + 7*b**2 + 4*b - 7. Let m be f(-6). Suppose -4323 = -7*z - 4064. Suppose m*o - z = -2. What is the remainder when 12 is divided by o?
5
Suppose 0 = 8*l - 145 + 9. Suppose -30 = 18*u - 20*u. Calculate the remainder when l is divided by u.
2
Let s be -4*4/24*(-3 - 171). Let o = -20 + s. Suppose -4*c + o = m + 3*m, 2*c - 3*m = 43. Calculate the remainder when 44 is divided by c.
21
Suppose -5232*k + 5228*k - 5*o + 53 = 0, -3*o + 3 = 0. Let f = -100 + -50. Let u = 221 + f. Calculate the remainder when u is divided by k.
11
Let j be (9/3)/(42/(-30) - -2). Suppose -5*w - 62 = -3*t, j*w - 31 = -4*t + 40. Calculate the remainder when 207 is divided by t.
17
Suppose 7*f = 8*f - 275. Suppose y - f = -10*y. Calculate the remainder when y is divided by 16.
9
Let w = -1192283 + 1192311. Let d(h) = -2*h - 7. Let l be d(-6). Let g(q) = 2*q**3 - 5*q**2 - 2*q - 5. What is the remainder when g(l) is divided by w?
26
Suppose 5*f - 1954 + 1839 = -5*h, 2*h = -f + 38. What is the remainder when 8963 is divided by h?
8
Suppose -3*z - 3*n + 435 = 0, z - 5*n = -7*n + 141. Let x = z - 118. Calculate the remainder when 216 is divided by x.
30
Suppose -2100 = -4*r - 712. Suppose -363 = -5*a + 2*h, -2*a + 7*a = -2*h + r. Suppose 125*m = 1246 + 1254. Calculate the remainder when a is divided by m.
11
Let a = -4 + 20. Let s(z) = 7*z**2 + 3*z + 20. Let x be s(-7). Suppose -253 = -4*i + f, 7 - x = -5*i + 5*f. What is the remainder when i is divided by a?
14
Let n(x) = 2*x**2 - 11*x - 17. Let c = -67 + -92. Let k = 273 + c. What is the remainder when k is divided by n(8)?
22
What is the remainder when -3*((-3)/4 + 15697/(-132)) is divided by 101?
56
Let k = 8424 + -5484. Suppose 0 = -5*b - 5*l + k, 59 = -3*b - 2*l + 1828. What is the remainder when b is divided by 85?
83
Suppose -231*v + 165975 - 2284 = 9845. Calculate the remainder when v is divided by 85.
71
Let x(q) = -4*q**2 - 37*q - 4. Let t(v) = -3*v**2 - 39*v - 5. Let w(a) = 6*t(a) - 5*x(a). What is the remainder when 59 is divided by w(25)?
14
Let m = -4913 - -4933. What is the remainder when 15098 is divided by m?
18
Let p be 2 - -2 - (-1548)/18. Suppose 353*h - 348*h - p = 0. Calculate the remainder when 78 is divided by h.
6
Let b(f) be the first derivative of -f**4/4 + 7*f**3/3 + 25*f**2/2 + 83*f - 112. Calculate the remainder when b(-4) is divided by 20.
19
What is the remainder when (-2)/4*8/(-14) + 5575827/1281 is divided by 44?
41
Let r = 25028 - 24977. What is the remainder when r is divided by (18/4)/((-7)/(-28))?
15
Suppose -5*q + 2*i + 5049 = 0, -82*i - 4035 = -4*q - 81*i. Calculate the remainder when q is divided by 65.
32
Suppose g + 6 = -g. Let v(m) = -24*m - 2. What is the remainder when v(g) is divided by ((456/36)/38)/(1/57)?
13
Let d(r) = -2*r**2 - 136*r - 1598. What is the remainder when 240 is divided by d(-50)?
38
Let c(z) = -z - 55. Let x be c(-54). Calculate the remainder when 160 is divided by ((-656)/32)/(x/2).
37
Let a = 167 - 167. Suppose a = 2*o - 224 - 32. What is the remainder when o is divided by 13?
11
Let z = 71 - 8. What is the remainder when z is divided by 16?
15
Let o(t) = t + 86. Suppose 7*q = -82 - 114. What is the remainder when o(q) is divided by 15?
13
Let j = -3411 + 3602. Calculate the remainder when 3819 is divided by j.
190
Let z(w) = 1427*w**3 + 47*w**2 + 82 - 1426*w**3 + 17 - 48*w. Calculate the remainder when z(-48) is divided by 17.
14
Let q(t) be the third derivative of 3*t**5/20 - t**4/12 + t**3/6 + 14*t**2. What is the remainder when q(4) is divided by 14*(-4 + (-26)/(-4))?
32
Suppose -38 - 22 = -4*b. Suppose 0 = -4*g + 5*d + 125, -5*g - 10*d + 7*d + 184 = 0. Calculate the remainder when g is divided by b.
5
Let h = -51 - -56. Suppose -25 = -4*j + 35. Calculate the remainder when j is divided by h.
0
Let s = 10152 + -10104. What is the remainder when 56 is divided by s?
8
Let t be 9/36 + 1/((-8)/(-38)). Suppose 264 = -t*j + 13*j. Calculate the remainder when ((-690)/(-24) - -8)*24/9 is divided by j.
32
Let u be (-43)/(-7) - (-19)/(-133). Suppose 0 = 5*c + 10, 10*w - 66 = u*w - 5*c. Calculate the remainder when w is divided by 10.
9
Suppose -25 = -5*r - d, -2*d - 3 = -r + 13. Suppose r*y - 85 = 29. What is the remainder when 29 is divided by y?
10
Suppose -3*z - 11 = -248. Let a(r) = -160*r + 1296. What is the remainder when z is divided by a(8)?
15
Let f = 4 - 11. Let r(i) = -i**3 - 6*i**2 + 3. Suppose -2*b + 43 = 7*u - 10*u, 0 = 2*b + 3*u - 13. What is the remainder when r(f) is divided by b?
10
Let q be 789/6 - (-9)/6. Suppose 0 = 21*l - 2*l - q. Calculate the remainder when (-1)/((-1)/(-13))*-1 is divided by l.
6
Suppose 488 - 114 = 4*j - 2*t, 2 = 2*t. Calculate the remainder when j is divided by (13/26*-2)/(-2)*(14 - -2).
6
Let s = 11 - 12. Let q be 4/10 - ((-466)/(-10))/s. Suppose 0 = -v + q - 4. What is the remainder when v is divided by 9?
7
Suppose 7*f - 132 = f. Let c = f + -18. Calculate the remainder when 11 is divided by c.
3
What is the remainder when 15/((-2)/(56/(-6 - 1))) is divided by 45?
15
Suppose -41*s = -2888 - 4738. What is the remainder when 545 is divided by s?
173
Let t be -4 + (-1 + -9)*(-8)/(-5). Let z = -15 - t. Let d(q) = -q**3 + 7*q**2 - 2*q - 11. What is the remainder when d(z) is divided by 15?
14
Suppose 6*w - 40 = 4*w. Let v = -751 + 1242. Suppose 3*q - v = -2*q + 4*p, 0 = 3*q + 5*p - 302. Calculate the remainder when q is divided by w.
19
Suppose 6*g - g = 0, -2*g = -2*m + 32. Suppose 0 = q - 2*q - 2. What is the remainder when (0 + q)*((-88)/4 - 1) is divided by m?
14
Let l be 120/(-48)*(2 - (6 + -2)). Calculate the remainder when 410/l - (-8 - -10) is divided by 9.
8
Let t(v) = -502*v - 2966. Calculate the remainder when 322 is divided by t(-6).
0
Let f be (-10520)/70 - (-8)/28. Let s = -40 - f. Calculate the remainder when s is divided by 19.
15
Suppose 2*f - 55 - 15 = 0. Let z(x) = -18 + 40*x - 62*x + f*x. Calculate the remainder when 71 is divided by z(3).
8
Suppose -3*n = -10*w + 11*w - 528, 2103 = 4*w + 3*n. What is the remainder when w is divided by 195?
135
Suppose 60 = 26*v - 14*v. Let g = 26 + -17. Suppose -v*l + g = -1. Calculate the remainder when 7 is divided by l.
1
Let d(l) = 5*l**2 + 3*l + 1. Let n(y) = -2*y**2 + 37*y + 1728. What is the remainder when d(-3) is divided by n(40)?
5
Let u(p) = -p**2 - 3*p + 642. Calculate the remainder when u(-25) is divided by 85.
7
Suppose y - 7 = -5*j, 10*y + 5*j = 6*y - 2. Calculate the remainder when 4/y*(-88 + 46) is divided by 23.
10
Let i = 178 + -88. Let f = -156 + 357. Suppose 0 = -f*o + 200*o + 23. Calculate the remainder when i is divided by o.
21
Let z(s) = -s**3 + 4*s**2 + s - 1. Let y(u) = u**3 - 13*u**2 - 15*u + 24. Let l be y(14). Calculate the remainder when 966/10 - 6/l is divided by z(3).
8
Suppose -16*x = -139*x + 14883. What is the remainder when x is divided by 27?
13
Let d(w) = 2*w**2 + 9*w + 411. What is the remainder when d(-12) is divided by 198?
195
Suppose -7*y - 666 + 2066 = 0. What is the remainder when y is divided by 102?
98
Let y be 0 + 4 + -8 + 9. Suppose -y*u = 15, -4*m + 17 = -u - 34. Let b(s) = 2*s**2 - 13*s + 49. What is the remainder when b(5) is divided by m?
10
Let c(p) = 11*p - 9. Let r(y) = 22*y - 19. Let g(t) = 7*c(t) - 3*r(t). Let u be g(2). Suppose d + u - 19 = 0. Calculate the remainder when 47 is divided by d.
2
Suppose -20*o + 2062 = 2. Suppose -h + o = 3*q, -4*h - 59 = -4*q + 73. Calculate the remainder when 267 is divided by q.
29
Let k be (2/(-1) - 0) + -15 + -39. Let q = k - -53. Calculate the remainder when 64 is divided by 22 - (q - (-12)/4).
20
Suppose -g + 77 = 2*h, 5*g - 4*h = 10*g - 361. Calculate the remainder when (5/15 - g/18)*-46 is divided by 33.
29
Let i = -233 + 8. Let x = 230 + i. Calculate the remainder when 39 is divided by x.
4
Suppose -7*f - f + 40 = 0. Suppose 15 = f*j - 20. Suppose -4*d = 4*x - 20, -4*d + 9 = -5*x - 1