3*p + 684*p - 33. Suppose -4*u - 5*i - 1 = -3*u, 0 = -5*i - 10. Calculate the remainder when p is divided by u.
6
Let f = 480 + -431. What is the remainder when f is divided by 38?
11
What is the remainder when 0/(-1 + -2) - (-566 - 34) is divided by 86?
84
Let r(u) = 11*u + 54. What is the remainder when r(3) is divided by 22?
21
Let i = 5 + 0. Suppose 25 = -i*t, 3*r = -2*t - 0*t + 5. Suppose 2*b + 3*m = -m - 2, 0 = r*b - m - 50. What is the remainder when 25 is divided by b?
7
Let a = 1636 + -1452. What is the remainder when a is divided by 97?
87
Let k(c) = 234*c - 232. What is the remainder when 12 is divided by k(1)?
0
Let s(v) = -v**2 + 7*v. Let c be s(7). Suppose c*b - 4*b = -92. What is the remainder when 91 is divided by b?
22
Let f = -58 - -129. Let u(b) = b**3 + 15*b**2 + 18. Calculate the remainder when f is divided by u(-15).
17
Suppose -3*d = 5*y - 268, 2*y - 4*y - 2 = 0. Calculate the remainder when d is divided by 4.
3
Let f = -33 - -37. Suppose -14 = -5*a + 4*z, -a + 5*z + f = -3. Suppose 46 = 3*j - a*j. What is the remainder when j is divided by 16?
14
Suppose 387 = 6*t - 213. Calculate the remainder when t is divided by 26.
22
Let n = -33 - -62. Suppose 4*l - n = 51. What is the remainder when 55 is divided by l?
15
Let b(y) = -y - 2. Let d(f) = f + 1. Let w(u) = -4*u - 8. Let j(c) = -8*d(c) - w(c). What is the remainder when j(-1) is divided by b(-4)?
0
Suppose -k + 3*k = -2*r - 16, -2*k = -3*r + 1. Let v = 3 - k. Suppose -3*m + 71 = 2*m - 2*s, 14 = 2*m + 4*s. What is the remainder when m is divided by v?
5
What is the remainder when 1357 is divided by 64/(-6)*(-60)/8?
77
Suppose 6*l - 2*m = 2*l + 74, 2*m + 2 = 0. Calculate the remainder when 33 is divided by l.
15
Suppose 2*r = -2*a + 76, 0*a - 195 = -5*a - 4*r. Let q = a - 40. What is the remainder when 17 is divided by q?
2
Let v = -104 + 131. Calculate the remainder when v is divided by 3.
0
Suppose 2*x = -20 + 86. Let z = 38 - x. What is the remainder when 28 is divided by z?
3
Suppose 5*g - 198 - 177 = 0. Suppose -f + 92 = 4*b + 2*f, -b = -5*f. Calculate the remainder when g is divided by b.
15
Let m(p) = -15*p - 1. Suppose -4*q - 6 + 22 = 0, 28 = -4*b + 5*q. Calculate the remainder when m(b) is divided by 11.
7
Let l(p) = p**3 + 6*p**2 + 4. What is the remainder when 666 is divided by l(-5)?
28
Suppose 15*d - 40*d + 10300 = 0. What is the remainder when d is divided by 8?
4
Suppose 0 = -15*k + 193 - 58. Suppose -43 + 11 = 4*y. Calculate the remainder when (-6)/(-8) - 114/y is divided by k.
6
Suppose -r = -0*r + 4. Let y = 3441 + -3428. What is the remainder when 2/r + 102/4 is divided by y?
12
Let b be 4*(1 - 3)/(-2). Let q(p) = 29*p - 1. What is the remainder when q(b) is divided by ((-5)/6)/5*-174?
28
Let m(v) = -4*v**2 + 6*v - 21*v - 2 + v**3 + 4*v + 7*v. Calculate the remainder when 5 is divided by m(5).
2
Suppose -3*a = -10*f + 5*f + 156, 0 = -5*a + 15. Calculate the remainder when 128 is divided by f.
29
Let d = -1111 - -1319. Calculate the remainder when d is divided by 20.
8
Suppose -d + 79 = -4*c - 226, 5*c = 4*d - 384. Let j = c - -91. Calculate the remainder when 44 is divided by j.
14
Let b be (2/6)/((-8)/(-120)). Suppose -i + 4*x = -6*i + 103, -5*i + b*x + 85 = 0. Calculate the remainder when 33 is divided by i.
14
Let x(d) = d + 4. Let p be 3 + 5*4/20. What is the remainder when 15 is divided by x(p)?
7
Let n(v) be the second derivative of -v**5/20 + v**4/4 + 2*v**2 + 2*v. Suppose 2*u - 3 = 9. What is the remainder when u is divided by n(3)?
2
Suppose 21 = 7*b - 0. Calculate the remainder when (-120)/36*3/(-2) is divided by b.
2
Suppose 3*f - 3 = 2*i, -197*i + 22 = -195*i + 2*f. What is the remainder when 30 is divided by i?
0
Calculate the remainder when 163 is divided by 45/4 - (-3)/(-12).
9
Let p = -17 + 31. Suppose 54*u - 1139 = 211. Calculate the remainder when u is divided by p.
11
Suppose -6*o - 69 = -357. Let k = o - 43. What is the remainder when 79 is divided by k?
4
Calculate the remainder when 647 is divided by (10/(-30))/((-5)/975).
62
Suppose 0 = 4*u - 2*y - y - 447, -u + 112 = -y. What is the remainder when 211 is divided by u?
100
Suppose 3*a = -x + 306, a - 6*a = 4*x - 503. Calculate the remainder when a is divided by 26.
25
Let z(l) = 4*l + 27. What is the remainder when z(11) is divided by 22?
5
Let y be (-9)/(-1 + 21/12). Let t be 12/30 + 314/(-10). Let l = y - t. What is the remainder when l is divided by 5?
4
Calculate the remainder when 36 is divided by -20*-1*3/6.
6
Suppose -332 = -7*v - 311. What is the remainder when 231 is divided by v?
0
Suppose x + w - 18 = -3*x, -4*x + 2*w = -24. Suppose -13 = -33*m + 251. Calculate the remainder when m is divided by x.
3
Let d be 4/24*2*3/1. What is the remainder when 12 is divided by 1/(2/18) - 2*d?
5
Suppose -511*l + 110 = -506*l. What is the remainder when 192 is divided by l?
16
Suppose 271 = 17*a + 33. Calculate the remainder when 152 is divided by a.
12
Let g = 80 + -54. Calculate the remainder when g is divided by 21.
5
Let a(s) = 4*s**2 - 53*s - 11. What is the remainder when 118 is divided by a(14)?
25
Suppose 13*d = d + 648. Calculate the remainder when 442 is divided by d.
10
Let y(t) = -t**3 + t + 31. What is the remainder when y(0) is divided by 4 + (9 - 13) - (-12 + 1)?
9
Let k(y) = -y**3 + 3*y**2 + y + 14. Calculate the remainder when 0/((-6)/(-2)) + 39 is divided by k(0).
11
Suppose 16*b + 432 = 28*b. Calculate the remainder when 249 is divided by b.
33
Suppose 21 - 197 = -4*w. Suppose c - 4*p = -2*c + w, 22 = c - 5*p. Calculate the remainder when 59 is divided by c.
11
Suppose s - 3 = 4*d - 7, -2*s = -5*d + 5. Suppose 4*h = q + 1 - 3, -5*q - 5*h = -60. What is the remainder when (-38 + d)/((-2)/2) is divided by q?
7
Suppose -5*v + 14 = 4. Calculate the remainder when 50 is divided by (v - 12/5)/((-2)/130).
24
Let g be (0 - -18)*(-2 - (-7 + 4)). Suppose -18 = -2*d + g. Calculate the remainder when 63 is divided by d.
9
Let v(y) = 3*y. Let a be v(4). Let l = -124 + 108. What is the remainder when (-3)/a + (-212)/l is divided by 4?
1
Suppose 0 = p + u - 30, 4*p - 3*u - 123 = -6*u. Let f = 16 + p. Suppose 63 = 5*y - 62. Calculate the remainder when f is divided by y.
24
Let z = 90 - -41. Calculate the remainder when z is divided by 35.
26
Let v(l) = 7*l**2 - 5*l + 12. What is the remainder when 93 is divided by v(0)?
9
Suppose 0 = -317*g + 314*g + 390. Calculate the remainder when g is divided by 8.
2
Suppose -5*x = -56 + 6. Let m(f) = 12*f - 40. Let a be m(4). What is the remainder when a*(-5)/x*-13 is divided by 14?
10
Suppose 5*d - 12 = 8. Suppose -109 = -d*x + 31. Calculate the remainder when x is divided by 19.
16
What is the remainder when (-7 - 0)/(-5 + 6) - -116 is divided by 22?
21
Suppose 80*i = 107*i - 864. What is the remainder when 575 is divided by i?
31
What is the remainder when (-54)/9 + (-1 - -158) is divided by 12?
7
Suppose -7 = 3*a + 11. Let v = 20 + a. Suppose 2*q - 39 = 71. What is the remainder when q is divided by v?
13
Let t(x) = 3*x**2 + 10*x + 4. Let r be t(6). Suppose 0*v = -4*w + 5*v + r, -43 = -w + 2*v. What is the remainder when 170 is divided by w?
41
Suppose -6*i + 12 + 0 = 0. Calculate the remainder when (i/4)/(((-120)/496)/(-15)) is divided by 7.
3
Suppose 318*a - 4093 = 677. Let j = 233 - 114. Calculate the remainder when j is divided by a.
14
Let a = 2538 - 2248. What is the remainder when a is divided by 89?
23
Let u = -148 - -159. Suppose -17 - 106 = -3*r. What is the remainder when r is divided by u?
8
Suppose 0 = 3*b - 5*c - 22, -2*b + 7*b - 66 = c. Let g = 88 + b. Let x = 51 + -25. What is the remainder when g is divided by x?
24
Let z = 90 + -78. Suppose -z*t + 59 + 61 = 0. What is the remainder when 36 is divided by t?
6
Suppose -5*d = 5*y - 90, -4*y - 37 = -4*d + 51. What is the remainder when 144 is divided by d?
4
Let l(u) = 6*u**2 - 7*u. Let p(k) = 3*k**2 - 3*k. Let d(i) = -2*l(i) + 5*p(i). Calculate the remainder when 6 is divided by d(1).
0
Let y be (-15)/(-7) + -1 + (-6)/(-7). Calculate the remainder when 117 is divided by ((-574)/(-42))/(y/(12/2)).
35
Suppose -5*g + 81 = -y, 19 = -g + 3*y + 24. Suppose -2*z = 4 - 134. What is the remainder when z is divided by g?
14
Calculate the remainder when 614 is divided by (-252)/