3*q + 93*d = 89*d + 103. Calculate the remainder when 314 is divided by q.
14
Let v(d) = -11*d + 25. Let u be v(-6). Let q = 150 - u. Suppose -9*m = q - 221. What is the remainder when 70 is divided by m?
16
Calculate the remainder when 1708 is divided by (-7 - -9)/((-3)/(-27)).
16
Suppose 4*r - 33*f + 38*f - 174 = 0, f = -3*r + 147. What is the remainder when 857 is divided by r?
41
Let b = -23 + 54. Let k(w) = w**2 - 2*w. Let n be k(2). Suppose n = 5*l - v - 1070, 0*v + v = 0. Calculate the remainder when l is divided by b.
28
Let d be 3/5 + (-14)/(-35). What is the remainder when 258 is divided by 16/(-4)*d - (-55 - 1)?
50
Let a = -2807 + 2815. What is the remainder when 274 is divided by a?
2
Let k(i) = 5*i - 1. Let s be k(5). Suppose 6*y + s = 8*y. Let r = -958 + 1001. Calculate the remainder when r is divided by y.
7
Suppose -5*u + 27 - 8 = -4*d, -3*u + 8 = d. Suppose -3*k - 21 + 170 = -i, u*k = 5*i + 133. Calculate the remainder when k is divided by 28.
23
Suppose 10*o = -2*o + 8616. Suppose 2*d + 3*d + 3*h = o, -4 = -4*h. Let s = -38 + 74. Calculate the remainder when d is divided by s.
35
Calculate the remainder when 5245 is divided by (-8 - -5 - (-10)/4)/(26/(-6344)).
121
Let v(i) = 81*i**2 - 4*i - 2. Calculate the remainder when 328 is divided by v(-1).
79
Let l be (414/(-345))/((-2)/(-5)). What is the remainder when 373 is divided by (-234)/(-8) + l/12?
25
Suppose 2*g - 8 = 4*g. What is the remainder when (56/g)/((-2)/19) is divided by 828/27 + 160/48?
31
Suppose -29*m = -81 - 35. Calculate the remainder when 258 is divided by m.
2
What is the remainder when -1 + -1 + ((43 - -3) + 2 - -1) is divided by 24?
23
Let q(f) = f**2 - 22*f - 15. Suppose 2*b - 57 = -9. What is the remainder when q(b) is divided by 5?
3
Let y(b) = -6*b**3 - 2*b**2 - 6*b + 26. Calculate the remainder when (-386)/(-5) - (-3)/(-15) is divided by y(0).
25
Let d(a) = 10*a**2 + 10*a + 1. Let g be d(-4). Let r = -111 + g. What is the remainder when ((-36)/(-45))/((-1)/(-15)) is divided by r?
2
Suppose -32 + 46 = x - 2. Calculate the remainder when 3081 is divided by x.
9
Let v(i) = 36*i**2 - 153*i + 282. Calculate the remainder when v(7) is divided by 107.
12
Let i = -3840 + 5379. What is the remainder when i is divided by 55?
54
Suppose -3*h + 6 = -f, -4*f = 2*h - 23 - 9. Suppose -107*i + 1122 = -269. What is the remainder when (0 + (-87)/(-6))*f is divided by i?
9
Let t(u) = -u**2 - 4*u + 12. Let f be t(2). Suppose f*j = 5*j - 130. Calculate the remainder when 309 is divided by j.
23
Let v be 461/4 - 1/4. Let b = -119 + v. Let z(p) = -p**2 - 9*p + 2. Calculate the remainder when z(b) is divided by 4.
2
Suppose 0 = -3*u - 3*m + 15, -2*u - m = 3*u - 41. Suppose -13*c + u*c + 4 = 0. What is the remainder when -1 - ((-18 - -3) + c) is divided by 4?
1
Suppose 4*j - 7490 = 2*g, -j + 5*g + 1004 + 873 = 0. What is the remainder when j is divided by 125?
122
Let c(t) = 63*t. Let u = -177613 - -177640. Calculate the remainder when c(1) is divided by u.
9
Suppose -4*k - 16 = 0, b + 4*b - 3*k = 102. Let n(w) = -w**3 - 80*w**2 + 434*w + 838. What is the remainder when n(-85) is divided by b?
1
Let a(m) = 50*m**2 - 4*m - 15. What is the remainder when 233 is divided by a(-1)?
38
Let a(m) = -m**3 - 5*m**2 - 4*m - 7. Let c be 1*(-11 + (-5 - 0)). Let p be c/(-4 + 0) + -9. What is the remainder when 75 is divided by a(p)?
10
What is the remainder when 196 is divided by (-927)/(-22) + 27/(-198)?
28
Let w = -4665 + 4815. What is the remainder when 740 is divided by w?
140
Let t = -26 + -7. Let z = 115 - 37. Let d = t + z. What is the remainder when 89 is divided by d?
44
Let q = -424 - -423. Calculate the remainder when 52 is divided by 0/q - (1 - 15).
10
Let d(q) = -2*q**2 + 26*q - 46. What is the remainder when 180 is divided by d(10)?
12
Let j(t) = 116*t + 5440. What is the remainder when j(-41) is divided by 325?
34
Let k(l) = l**3 + 9*l**2 + 8*l + 11. Let m = -126 + 129. Suppose 75 - 267 = -m*n. Calculate the remainder when n is divided by k(-8).
9
Suppose -5*c + 294 = 3*n + 17, 0 = 2*c - 5*n - 86. Let x be (8/6)/(-4)*-123. Let s = c - x. Calculate the remainder when 34 is divided by s.
10
Let w(s) = -36*s**2 - 2*s - 3. Let a(p) = -35*p**2 - 3*p - 4. Let l(c) = -3*a(c) + 2*w(c). Calculate the remainder when 118 is divided by l(-1).
16
Suppose -5*k + 2*h + 665 = 0, 208 + 72 = 2*k + 2*h. What is the remainder when k is divided by 14?
9
Suppose 0 = 7*x - 10*x + 6. Suppose 2*u + 54 = -2*r, 5*r + x + 127 = -2*u. Let v = -18 - r. What is the remainder when v is divided by 1?
0
Suppose -13*v = -8*v - 35. Suppose 69 = -37*x + 83 + 97. Calculate the remainder when v is divided by x.
1
Let k = 32548 - 32476. Calculate the remainder when 31679 is divided by k.
71
Suppose -103*w = 31*w + 147*w - 5901. What is the remainder when 2665 is divided by w?
19
Suppose 0*r + 8206 = 10*r + r. What is the remainder when r is divided by 41?
8
Suppose -3*q = -t - 16 + 6, 5*q = 4*t + 19. Let o(k) = 3*k**2 - 4*k + 4. Let y(x) = -38*x + 93. Calculate the remainder when y(0) is divided by o(q).
17
Let n = -128 + 124. Let z = -1 - n. Calculate the remainder when 248/12 + (-4)/6 is divided by z.
2
Suppose -3*x - 4*y + 232 = 20, -y + 206 = 3*x. Suppose 784 = 6*h - x. Calculate the remainder when h is divided by 46.
4
Let w = -937 - -942. Suppose 8*l - 5*o - 188 = w*l, -3*l = o - 200. Suppose 4*d - 34 = 34. What is the remainder when l is divided by d?
15
Let n(u) = 2*u**2 - 41*u - 151. Suppose 21*g = 33*g - 288. What is the remainder when 133 is divided by n(g)?
14
Let u be (7 - (7 + -1)) + 130. Suppose -18 = -132*d + u*d. Calculate the remainder when d is divided by 11.
7
Let b = 39 - 32. Let j(n) = n**3 - 11*n**2 + 11*n - 12. Let p be j(6). Calculate the remainder when (-4060)/p - 2/9 is divided by b.
4
Let y(p) = -8*p - 2. Let m be 12/9*(-1 - (-25)/10). Suppose w = 2*w - 3*j - 25, -m*j = 8. What is the remainder when y(-5) is divided by w?
12
Let q(r) = -3*r + r**2 + 18124 - 18132 + r. What is the remainder when (75 - 2/1) + 2 is divided by q(-4)?
11
Let d = 8766 + -7207. What is the remainder when d is divided by 6?
5
Suppose 26 - 46 = -4*l. Let u(w) = 2*w + 16. Suppose 4*a - 67 + 3 = 0. Calculate the remainder when u(l) is divided by a.
10
Let u be 589/38 - (-4)/8. Calculate the remainder when (-7)/(u - 2)*-182 is divided by 16.
11
Let f = -3904 + 4733. Calculate the remainder when f is divided by 16.
13
Let x(z) = 8*z - 106. Calculate the remainder when x(46) is divided by 11.
9
Suppose -20*j = 5333 - 21293. What is the remainder when j is divided by 240?
78
Let o(m) = -9*m**3 + m + 2. Suppose 13*a + 2 = 14*a. Suppose -6*u + 4*z + 24 = -a*u, 0 = 4*u - 3*z - 21. What is the remainder when o(-1) is divided by u?
1
Calculate the remainder when 96 is divided by ((-4)/(-7) - (-624)/(-210))*400/(-24).
16
Suppose -4*f + 5*d = -0*f - 517, 2 = -2*d. Suppose -3*g - r + 95 = 0, 4*g = -3*r + f + 7. What is the remainder when g is divided by 11?
8
Suppose 14*x - 3840 = -760. Let i(z) = -z**3 + 27*z**2 - 28*z + 122. What is the remainder when x is divided by i(26)?
10
Let q(l) = 5*l**2 - 274*l - 217. Calculate the remainder when q(57) is divided by 135.
5
Let h(k) = -k**3 + 6*k**2 + 11*k - 18. Let y be h(7). Suppose 2*t + 2 = y. What is the remainder when 59 is divided by t?
3
Suppose 0 = 8*p - 3*p - 540. What is the remainder when p is divided by 11564/(-6608) - 83/(-4)?
13
Let x(j) = -3*j - 10. Calculate the remainder when 899 is divided by x(-14).
3
Suppose 95 + 125 = -5*a. Let l = a + 34. Let o(i) = i**3 + 10*i**2 - 5*i - 18. Calculate the remainder when o(l) is divided by 11.
10
Let a(c) = -c**2 - 30*c - 33. Let l be a(-31). Let x = l - -91. Let o = 2 - -8. What is the remainder when x is divided by o?
7
Let s(r) = r**2 - 18*r + 1. Let z be s(17). Let c(q) = q**2 - 4*q + 14. Calculate the remainder when c(z) is divided by 42.
40
Let n(t) = 8*t - 1. Let j = -37164 + 37218. Calculate the remainder when j is divided by n(2).
9
Let t(q) be the third derivative of q**6/120 - 8*q**5/15 + 11*q**4/8 - 6*q**3 - q**2. Let x = 14605 + -14574. What is the remainder when 129 is divided by t(x)?
25
Let i be 6 + (-14)/(-7) - (6 + 0). Let m(k) = 66*k**2 + 3. What is the remainder when m(i) is divided by 74?
45
Let d(x) = x