1 = -c. Calculate the remainder when f is divided by 18.
15
Let j(u) be the first derivative of 7*u**2 + 2*u - 3. Suppose 0*g - 10 = -5*g. What is the remainder when j(g) is divided by 8?
6
Let p(x) = -x**2 + 68*x - 468. Let l(h) be the second derivative of 2*h**3/3 + 5*h**2/2 + h. Calculate the remainder when l(4) is divided by p(8).
9
Let d(h) = -3*h**3 + 2*h**2 + h - 11. Let i(o) = -3*o**3 + o**2 - 10. Let x(k) = -6*d(k) + 7*i(k). What is the remainder when x(-4) is divided by 19?
18
Let t = -2725 - -2745. Let w(m) = m. Let v be w(5). What is the remainder when (v - 2) + -2 + 77 is divided by t?
18
Let n(b) = -21*b + 5*b**2 - b**3 - 25*b**2 + 17 + 2*b. Suppose w = 2*w - 67. Calculate the remainder when w is divided by n(-19).
16
Suppose -2*r = 2*r + 5*h - 32, 5*r = 2*h + 7. Suppose r*g - 2*g - 14 = 0. Calculate the remainder when 68 is divided by (-1 + -4)/((-2)/g).
33
Let t(a) = a**2 + 19*a - 68. Calculate the remainder when t(-42) is divided by 15.
13
Suppose 0 = -a - 2*q + 4*q + 20, 5 = -q. Calculate the remainder when 38 is divided by a.
8
Let h(a) = -2*a + 37. Suppose j - 2*b = 2*b + 50, 3*b = -3*j + 90. Calculate the remainder when j is divided by h(14).
7
Let u = -927 + 930. Suppose -4*m + 10 = -10. What is the remainder when m is divided by u?
2
Suppose 6*h - 8 - 10 = 0. What is the remainder when (-238)/(-35) - (-1)/5 is divided by h?
1
Let v = 196 - 186. Let a be 2/(-8) - (-2)/8. Suppose -k - k + v = a. Calculate the remainder when 14 is divided by k.
4
Let t(b) = -b**2 - 16*b - 20. Suppose 0*g = g - 2*m + 15, -3*g = -2*m + 29. Calculate the remainder when t(g) is divided by 15.
13
Suppose 0 = -4*q + r - 36, -19 = -5*q + r - 65. Let l be (-2)/3 - q/15. Suppose l = 3*t - 7*t + 24. Calculate the remainder when 11 is divided by t.
5
Suppose l - 111 = -3*k, -l - 3*l + 156 = 4*k. Suppose -2*p = -k - 22. Calculate the remainder when p is divided by 15.
14
Let p(c) = 103*c. Suppose 25*n - 24*n = 26. Calculate the remainder when p(1) is divided by n.
25
Let g(t) = -2*t**3 + 36*t**2 - 33*t + 18. Suppose -2*h - 4*m + 18 = 0, -3*m - 15 = 4*h - 51. What is the remainder when g(17) is divided by h?
8
Suppose 2*a + 3*k + 3 = -6, -2*k - 6 = -2*a. Suppose 2*w + 3*v = 1, -4*w + a*v + v + 23 = 0. Let c = 1 + 23. Calculate the remainder when c is divided by w.
4
Suppose 11273 = 4*o + 1833. Suppose 0 = 2*k + 3*k - 150. Calculate the remainder when o/(-50)*(-2)/(8/10) is divided by k.
28
Let h(y) = 2*y**2 + 2*y + 2. Let r be h(-1). Suppose -5*u = -r*u - 15. Suppose -80 - 55 = -5*c. Calculate the remainder when c is divided by u.
2
Suppose 3*r + 2*r + 60 = 0. Suppose -3*f - y = -19, -2*y = -3*f + 6 + 1. Calculate the remainder when -22*(r/3)/4 is divided by f.
2
Let t = 5 + 5. Suppose r - 19 = -1. What is the remainder when r is divided by 5*-1*(-8)/t?
2
Let o(n) = -n - 10. Let g be o(-6). Let t = -13 - -18. What is the remainder when (-104)/(-16) - 2/g is divided by t?
2
Let z = 16 - -14. Let b(u) = u**2 + 7*u + 1. Let m be b(-8). Let q(w) = -w**3 + 8*w**2 + 10*w - 1. What is the remainder when z is divided by q(m)?
6
Let b = -5 - -16. Suppose -8*w = -5*w. Suppose 5*o - 76 - 78 = -3*t, w = 4*t + o - 177. Calculate the remainder when t is divided by b.
10
Let d(o) = -13*o**3 + o**2 - o + 1. Let z be d(1). Let y = z - -27. What is the remainder when (-15)/((-300)/(-56))*-10 is divided by y?
13
What is the remainder when 160 is divided by ((-6)/(-14))/((-33)/(-1155))?
10
Suppose -r = -418 + 110. Calculate the remainder when 1/3 - (-508)/6 is divided by ((-3)/2)/((-21)/r).
19
Let t = 373 + -330. What is the remainder when t is divided by 38?
5
Suppose 3*b + 39 = 87. Calculate the remainder when 82 is divided by b.
2
Suppose 453 + 307 = 40*k. Calculate the remainder when 320 is divided by k.
16
Let k = -38 - -63. Suppose 7*z + 50 = 148. Calculate the remainder when k is divided by z.
11
Let m(b) = -b**2 + 17*b + 14. Let l be m(17). Suppose 0 = -4*g + l + 6. Suppose -g*u + 2*u = -36. Calculate the remainder when 46 is divided by u.
10
Suppose 3*v - 5*z - 76 = 0, 2*v - 4*z = -21 + 77. Suppose y - 73 = 5*a, 4*y + 0*a - 241 = 3*a. What is the remainder when y is divided by v?
10
Let r(z) = z**2 + 2*z - 1. Let c(j) = -2*j**2 - 5*j + 3. Let a(t) = 6*c(t) + 13*r(t). What is the remainder when 18 is divided by a(5)?
8
Let v(u) be the third derivative of -u**6/120 - 7*u**5/60 - 7*u**4/24 + u**3/2 - 11*u**2. Calculate the remainder when 35 is divided by v(-6).
8
Let d be 1 - (0 + (-4)/(-4) + -1). Let a(t) = t**3 + t. What is the remainder when 5 is divided by a(d)?
1
Suppose 5*v = 69 + 16. Calculate the remainder when v is divided by 12.
5
Let c = -44 + 97. Calculate the remainder when c is divided by 6/(4*(-1)/(-24)*4).
8
Let k be 1 - (-7)/(14/8). Suppose 6*g + k*f - 35 = 4*g, -g + 25 = 5*f. What is the remainder when g is divided by 3?
1
Suppose 7*t = 3*t + 28. Suppose -q = 3*q - 4*a - 4, 5*a + 5 = -5*q. Suppose q = -4*w + 3*w + 27. Calculate the remainder when w is divided by t.
6
Suppose -3*q + 4*n = -n - 33, 51 = 3*q + n. What is the remainder when 135 is divided by q?
7
Let j be (60/(-18))/((-1)/(-3)). Let b = j - -66. Suppose k - 12 = 4*k, -b = -2*v - 5*k. What is the remainder when v is divided by 10?
8
Let u = 15 - -60. Suppose -10*n = -15*n + u. What is the remainder when n is divided by 8?
7
Let h(m) = -6*m**2 - 75*m + 64. What is the remainder when 33 is divided by h(-13)?
8
Let f(h) = h**2 - 30. Let n(z) = 2*z**2 - 60. Suppose 5*q + 3 = -12. Let i(g) = q*n(g) + 5*f(g). What is the remainder when i(0) is divided by 16?
14
Suppose -2*r + 181 = -3*z, 0 = 3*r - 5*z - 0*z - 271. Suppose 4*m + r = 4*b, 4*b + m + 2*m = 57. What is the remainder when b is divided by 7?
4
Suppose 0 = -u + 22 - 15. Let n be 6/(-21) - 75/u. Let j(o) = -o**3 - 10*o**2 + 8*o - 13. Calculate the remainder when j(n) is divided by 11.
9
Suppose v + 2*v - 144 = 0. What is the remainder when v is divided by 4 - (-11 + 9 + (-2 - -1))?
6
Let s be (-12 + 2)*(-4 - (-38)/4). Let n = s + 92. Calculate the remainder when n is divided by 20.
17
Suppose 28*u - 13520 = 2160. What is the remainder when u is divided by 51?
50
Let c = 1 + 18. Suppose 141*g - 138*g - 15 = 0. What is the remainder when c is divided by g?
4
Suppose 3*r - 8*r = 15. Let g(o) = -3*o - 5. Let s be g(r). What is the remainder when 1029/14*s/6 is divided by 26?
23
Let a = 19 + -9. Let z = -2 + a. Let k = z + 5. What is the remainder when k is divided by 5?
3
Suppose 10*a - 18 - 572 = 0. Calculate the remainder when a is divided by 30.
29
Let r(q) = -7*q - 8. What is the remainder when r(-8) is divided by (2/24)/((-11)/(-44))*30?
8
Suppose -b + 4*b = 267. Suppose -b - 123 = -4*h. Suppose 4*l - 3*m = 63, 0 = 4*l - m - h - 16. What is the remainder when l is divided by 5?
3
Suppose 2 - 27 = -5*k. Let v = -2 + k. What is the remainder when v is divided by 3?
0
Let j = -1563 + 1603. What is the remainder when 260 is divided by j?
20
Suppose -83 = 4*y + 77. Let c = y - -51. Suppose c*t - 16*t + 95 = 0. Calculate the remainder when t is divided by 7.
5
Suppose -9*i - 61 = -214. Let n = 29 + -24. Calculate the remainder when i is divided by n.
2
Suppose 5*t - 90 = 105. Let p(l) = 3*l**2 + 2*l - 2. Let v be p(2). Let h = 35 - v. What is the remainder when t is divided by h?
18
Calculate the remainder when (-8)/18 - 158580/(-324) is divided by 98.
97
Let a = -12 + 15. Suppose q + 2 + 0 = 0, a*c - 5*q - 13 = 0. What is the remainder when 4 + c + (3 - 3) is divided by 2?
1
Let n(v) = v**3 - 2*v**2 - 8*v - 1. Let d be n(4). Let r = 3 + -6. What is the remainder when 43 is divided by -6 - r - (d + -17)?
13
Let o(z) = -z**3 + 5*z**2 + 14*z + 2. Let b be o(7). Calculate the remainder when 19/(-57) - ((-412)/6)/b is divided by 13.
8
Let y = -72 - -75. Suppose y*a - 186 - 141 = 0. What is the remainder when a is divided by 22?
21
Suppose 0 = 3*q - 4*q + 8. Calculate the remainder when 0 + (-3 - 0) - -41 is divided by q.
6
Suppose 2*s = -2*n + 14, 2*s + 19 = 5*n + 3*s. Suppose 6*v - v + z = 66, n*v = -2*z + 41. Let h = 0 - -23. Calculate the remainder when h is divided by v.
10
Let z = 0 + 0. Let h(a) = a**2 - 15*a + 80. Let q be h(8). Suppose z*k + 4*k - q = 0. What is the remainder when 28 is divided by k?
4
What is the remainder when 52