i - 17. Calculate the remainder when k(-14) is divided by x(5).
15
Let b(q) = 17*q**3 + 8*q**2 - q + 1. What is the remainder when b(2) is divided by 26?
11
Let a be 8308/(-93) + ((-8)/3)/4. Let j = 104 + a. Suppose 38 = -4*v + 250. What is the remainder when v is divided by j?
11
Suppose -3*c - 2*n + 24 = 0, 4*c + 0*c - 39 = -5*n. Let h be (15/10)/((-33)/44). Calculate the remainder when ((-115)/(-25) - (3 - h))*-25 is divided by c.
4
Let s(u) be the third derivative of -u**5/15 + 3*u**4/2 - 2*u**3 - 16*u**2. Calculate the remainder when s(8) is divided by 12.
8
What is the remainder when 119 is divided by (-34 + (16 - 36))*3/(-18)?
2
Let c be 28/(-2) + -10 + 8. What is the remainder when (-21 - c) + (205 - 0) is divided by 51?
47
Let j(v) = -3*v + 7. Let q be j(3). Let a be 3 + 5/15 - q/3. What is the remainder when 44 is divided by (0/a)/3 - -13?
5
Let z(w) = -w**3 - 76*w + 87 + 44*w**2 + 27*w**2 + 46*w**2 - 157*w**2. Calculate the remainder when z(-38) is divided by 10.
7
Let k = 406 - 219. What is the remainder when k is divided by 87/9 - (4/(-10))/(3/(-5))?
7
Suppose -7*a = 480 - 1229. Let s = -119 + 120. Let g(f) = 19*f - 9. What is the remainder when a is divided by g(s)?
7
Let n(p) = 59*p**2 - 3*p - 1. Suppose 1 = z + 2. Let f be n(z). Suppose 2*l = l - 4*u + f, 0 = -3*u + 15. What is the remainder when 160 is divided by l?
37
Suppose 26*i - 28*i + 66 = -4*m, 2*i = 5*m + 59. What is the remainder when 414 is divided by i?
38
Let j(a) = 469*a + 3341. What is the remainder when 3535 is divided by j(-7)?
55
Suppose -44 - 16 = -20*w. Suppose w*g = -2*q + 254, 424 = 5*g + 6*q - 3*q. Calculate the remainder when g is divided by 24.
14
Let i = -3327 + 3355. What is the remainder when 1944 is divided by i?
12
Let m = 24 + -14. Let c be (-5)/(0 + 10) + 567/18. Suppose 0 = 2*f + 5*s - c, 5*f - 5*s = 65 + 100. What is the remainder when f is divided by m?
8
Let m be (-91 + 2)*10 + 1 + -1. Let j be 2/5 + m/(-25). Let r = j - 17. Calculate the remainder when 32 is divided by r.
13
Suppose 5*y = 3 + 7. Suppose y*c + x + 277 = 0, -3*c - c - 4*x - 564 = 0. Let s = c + 342. Calculate the remainder when s is divided by 26.
24
Let k(b) = 3*b**2 - 3*b - 2. Let h be k(-1). Suppose 110 + 196 = 2*t - 4*i, h*t + 4*i = 672. Let s = t - 63. What is the remainder when s is divided by 17?
15
Suppose -12 + 96 = 3*s. Let c = 92 - s. Suppose 2*i - c = -0. Calculate the remainder when i is divided by 9.
5
Suppose 2*v = 3*v - 114. Suppose 0 = 2*a - v - 90. Suppose 9*c + 12 = a. What is the remainder when 17 is divided by c?
7
Let s = -40 + 56. Calculate the remainder when 26 is divided by s/6*(-378)/(-72).
12
Suppose 9*i + 1240 = -6*i + 3370. Calculate the remainder when 790 is divided by i.
80
Suppose 32*m + 31*m = 65*m - 116. Calculate the remainder when 173 is divided by m.
57
Let h be (-1)/13 + (-525)/(-65). Suppose h*p + 55 = 359. Calculate the remainder when p is divided by 13.
12
What is the remainder when 667 is divided by 336 + 22/(66/(-27))?
13
Let r be 3 - (31/(-3) - (-14)/(-21)). Let p(w) = 6*w - 45. What is the remainder when p(r) is divided by 16?
7
Let j(n) = -n**3 + 16*n**2 - 15*n + 3. Let z be 0 + (2 - (-3 - -2)) - 2. Calculate the remainder when 1*z*(1 + 9) is divided by j(15).
1
What is the remainder when 2652 is divided by (4 + 208/(-32))*-8?
12
Let q(a) = a + 2. Let i be q(-5). Let f be 1 - (6/(-8) + 300/80). Calculate the remainder when (-134)/i - f/(-3) is divided by 16.
12
Let y(u) = 3*u**2 - 2*u - 2. Let n = 16 + -11. Suppose -3*o - 3*c + c = -49, 2*o - 18 = -n*c. Calculate the remainder when y(6) is divided by o.
18
Let t be 0 + 117 + 1 - (-412)/(-103). Suppose 12*k - t = 6*k. Calculate the remainder when 37 is divided by k.
18
Suppose 9*n = 2*n + 21. Suppose 3*h - 4*f - 584 + 166 = 0, 0 = h - 5*f - 154. Suppose -h*m = -132*m - 16. Calculate the remainder when m is divided by n.
2
Suppose -53 = 4*z + v, 0 = -6*v + 11*v + 25. What is the remainder when 104 is divided by -4*(4 + 111/z)?
20
Suppose 0 = -2*i - 4, 198*t - 3*i = 199*t - 1715. Calculate the remainder when t is divided by 69.
65
Suppose -14 = 6*c - 8*c. Suppose -c*b + 44 = -215. Calculate the remainder when b is divided by (-6)/(-15) - 515/(-25).
16
Let q(z) = 3*z**2 - 1. Let v be q(1). Suppose 2*a - t - 20 = 22, v*t + 106 = 5*a. Let s(m) = m**2 + 11*m - 3. What is the remainder when s(3) is divided by a?
17
Suppose -3*w = -287 + 212. What is the remainder when (-3)/(-2) - 810/(-20) is divided by w?
17
Suppose -3*y + 4*a + 7130 = 0, 4*a = -5*y - 6899 + 18825. What is the remainder when y is divided by 53?
50
Suppose 0*f - 6*f = -0*f. Let h be (f + -2)/((-21)/42). Suppose 0 = -3*w + a + 96, 10*w - 7*w - h*a - 105 = 0. What is the remainder when 59 is divided by w?
28
Suppose -j = -5*j + 36. Suppose 34*y - 44*y + 70 = 0. Suppose -5*m = -2*r - 21, -2*r = -2*m + 5 + y. Calculate the remainder when j is divided by m.
0
Suppose 2779 - 204 = y - 5*l, 2*l = -4*y + 10190. Calculate the remainder when y is divided by 58.
56
Calculate the remainder when -1850*(((-45)/12 + 4)*-2)/1 is divided by 20.
5
Let g = 76 - 61. Let z = g + -15. Suppose 2*p = -z*v + 2*v - 86, 125 = 3*v - 2*p. Calculate the remainder when 114 is divided by v.
36
What is the remainder when 280/90*174/(-7)*-3 is divided by 46?
2
Suppose -187 = -5*t + o, 7*o = 3*t + 3*o - 119. Let d(j) = 2*j**2 + 3*j - 25. Calculate the remainder when d(-9) is divided by t.
36
Let b = 21023 + -14454. What is the remainder when b is divided by 53?
50
Suppose -3*g - 434 = -d, 0 = -54*d + 55*d - 5*g - 426. Suppose -7*s + 2*s + 326 = -3*v, -2*v - 324 = -5*s. What is the remainder when d is divided by s?
62
Let k(x) = -259*x + 9. Calculate the remainder when k(-1) is divided by 27.
25
Let s(m) = -3*m + 13. Let f be s(-5). Suppose 0 = -5*n + j + 81, 3*j + f = 5*n - 45. Suppose n = 2*i - 5. Calculate the remainder when 84 is divided by i.
7
Let b be 32/(-6)*(2 + (-2601)/18). Suppose 30*k - b = 11*k. What is the remainder when k is divided by 2?
0
What is the remainder when 3582 is divided by 99/792 - (1 + (-287)/8)?
12
Let y = 294 + -303. Calculate the remainder when 96 is divided by (273/(-315) - (-4)/(-30))*y.
6
Let k = -297 + 318. What is the remainder when 12/2*98/k is divided by 18?
10
Let r = 1296 + -789. Let o = -96 - -147. Calculate the remainder when r is divided by o.
48
Suppose -h = -14 + 4. Suppose -56*o = -h*o - 1794. Calculate the remainder when o is divided by 33.
6
Suppose 18 = 19*t - 10*t. Suppose 2*o - 2*b - 10 = 4, -t*o = 5*b + 7. What is the remainder when 21 is divided by o?
1
Let w(y) = 6*y**3 - 2*y**2 + 2*y - 1. Let a be w(1). Suppose -a*v = -0*v - 250. Let d(m) = m**2 - 22*m + 98. Calculate the remainder when v is divided by d(5).
11
Let v(h) = 0*h**2 + 0*h - 4*h - 2*h**2 + 19*h**2 + 8 + 14*h**2. What is the remainder when v(2) is divided by 16?
12
Suppose 0 = v - 2*n - 583, 5*v - 1743 = 2*v + 4*n. Calculate the remainder when v is divided by 51.
16
Let c(d) = d - 3. Let u be c(-10). Let z = u - -29. Suppose -6*m + 4*m - 465 = -5*b, 3*b + 2*m - 279 = 0. Calculate the remainder when b is divided by z.
13
Suppose w - 62 = -3*i, 5*i - 2*w - 90 = -7*w. What is the remainder when -6*(-10231)/234 + 4/6 is divided by i?
21
Let u(s) = 12*s + 5. Let i be u(4). Suppose 2*r + i = 251. Suppose 0 = 5*p + 4*h - 194, 8*h - 80 = -2*p + 6*h. What is the remainder when r is divided by p?
31
Suppose -3*q + 59 - 6 = 2*n, -3*n + 3*q = -72. Suppose -42 = -2*r - 5*x, -331*r + 3*x - 6 = -329*r. Calculate the remainder when n is divided by r.
1
Let z = -45198 - -45216. Let j(f) be the second derivative of f**3/6 + 9*f**2/2 - f. What is the remainder when z is divided by j(-5)?
2
Suppose 2*p + 2*z = 108, 1 = z - 2. Suppose p = 3*i - 36. Calculate the remainder when 83 is divided by i.
25
Suppose 3*j + 1038 = -3*a, 4*j - 5*a + 301 = -1074. Let u = j + 545. Let m = u + -115. Calculate the remainder when m is divided by 22.
19
Suppose -y - 469 = -79. Let p = y + 594. Calculate the remainder when p is divided by 16.
12
Suppose 2*l - 3*z + 7*z = 90, -2*l + 4*z = -130. What is the remainder when 653 is divided by l?
48
Let i be (-11)/(-1) + -6 - 0. Suppose -3*z - i = -35. What is the remainder when 108 is divided by z?
8
Let x(b) = b**2 - 60*b - 48. Le