b(p) = -p**3 + p**2 + 4*p. Suppose -v - f = -85, 3*v + 87*f = 85*f + 262. What is the remainder when v is divided by b(-3)?
20
Let r(f) = 4*f**2 + f - 1. Let v(z) = z**2 - 10*z + 6. Let u be v(0). Calculate the remainder when 15*(u + -1)/5 is divided by r(1).
3
Let h = -506 + 850. Calculate the remainder when h is divided by 25.
19
Let o = 14132 - 13925. Calculate the remainder when o is divided by 72.
63
Let i = -273 - -284. Suppose 3*a = 3*k + 153, 1 = -2*k + i. What is the remainder when 110 is divided by a?
54
Suppose 140*w - 68138 = -77*w. What is the remainder when w is divided by 22?
6
Let x = 5643 - 5622. Calculate the remainder when ((-2)/(-4))/(2/248) is divided by x.
20
Suppose 6*l - 2*l - 3*n = 1007, -3*l + 747 = -5*n. Let b(y) = -6*y**3 + 240*y**2 + y - 8. Calculate the remainder when l is divided by b(40).
30
Let h(j) = 74*j + 1559. Calculate the remainder when h(-5) is divided by 85.
84
Suppose 0 = -4*b - n - n + 118, -5*n = b - 7. Let p = 255 - 263. Let u = p - -19. What is the remainder when b is divided by u?
10
Suppose 97 = -3*r + 520. Let d(o) = 2*o**3 + 62*o**2 + 25*o - 1026. What is the remainder when r is divided by d(-30)?
21
Let n = 476 - 307. Suppose -3*w - n + 61 = -3*c, -3*w - 176 = -5*c. Calculate the remainder when 54 is divided by c.
20
Let b = 23 + -16. Suppose -b = 3*p - 4*p + t, -3*p = -5*t - 21. Suppose -4*y + 59 - p = 0. What is the remainder when y is divided by 4?
1
Let i(j) = -6 + 10 + j + 0*j - 3. Let v be i(0). What is the remainder when 102 is divided by 2 - (0 + v + -20)?
18
Let c be -5 - -6*3/(-6). What is the remainder when 23 is divided by c/(-18) + 2300/414?
5
Suppose 3*i - 5*n - 266 = 0, -3*i - 5*n - 86 = -282. Calculate the remainder when 590 is divided by i.
51
Let q = 4805 + -2593. What is the remainder when q is divided by 6?
4
Suppose -27*i + 1501 = -1793. Calculate the remainder when 1462 is divided by i.
120
Suppose 6*a = a + 15. Suppose -48 + 73 = 5*w + 5*v, -v + 37 = 5*w. What is the remainder when w is divided by a?
2
Let x = 67 - 65. Let r be (-888)/(-32) - (x - (-15)/(-12)). Suppose 69 - r = 6*z. What is the remainder when 48 is divided by z?
6
Let j(y) = 2*y**3 - 17*y**2 - 29*y + 153. Suppose 5*z = 5*h - 385, -2 = -3*z + 13. Suppose -h = -k - k. What is the remainder when j(10) is divided by k?
40
Let j = -452 + 461. Let d(z) = 2*z**2 - 12*z - 2. What is the remainder when 117 is divided by d(j)?
13
Suppose -4*a + 8860 = 5*l, -414*l + 5*a + 5316 = -411*l. What is the remainder when l is divided by 66?
56
Let a(k) = k**2 + 3. Let f be a(0). Suppose 4*o = 0, -f*m = -3*o - 23 - 52. Calculate the remainder when (-54)/(-3)*12/3 is divided by m.
22
Let x = 3897 - 3778. What is the remainder when 4995 is divided by x?
116
Suppose 0 = -0*t + 2*t + 4*y - 282, 0 = -3*t - 3*y + 438. Let j = -106 + t. What is the remainder when 52 is divided by (-8)/((-24)/j) - -3?
16
Let q = -118 + 133. Suppose -4*h + 1 = -q. Calculate the remainder when h is divided by 4.
0
Suppose -6*f + 684 + 604 = 310. What is the remainder when f is divided by 81?
1
Let o(a) = -7*a**3 - 4*a**2 + 2*a + 3. Let u(h) = 37*h**3 + 4*h**2 + 2*h. Let t be u(3). Let f = t - 1003. Calculate the remainder when o(-3) is divided by f.
36
Suppose -s - 114 = -x, -5*x - 2*s = 3*s - 580. Calculate the remainder when x is divided by (-4130)/(-70) - 0/2.
56
Let f(p) = 43*p**2 + 92*p - 179. What is the remainder when f(2) is divided by 10?
7
Let v = -305 - -306. Calculate the remainder when 619 is divided by v + 18 + (-5)/(-5).
19
Let f(j) = -2*j + 169. Let r(p) = -36*p + 100. What is the remainder when f(16) is divided by r(1)?
9
Suppose -24651 - 12221 = -8*u. Calculate the remainder when u is divided by 87.
85
Suppose -4*t + 9*t = 60. Suppose 4*j - 12 = 0, j - 11 + 83 = 5*p. Suppose -36 = -p*s + t*s. What is the remainder when 23 is divided by s?
11
Let z(u) = -u**2 + 9*u + 10. Let b be z(10). Let h(i) = -i**3 - i**2 + i + 53. Let m be h(b). Let d = 58 - m. What is the remainder when d is divided by 4?
1
Let l = 527 - 520. Suppose -1965 - 674 = -l*s. What is the remainder when s is divided by 54?
53
Let f(r) = -9*r**2 + 59. Calculate the remainder when 526 is divided by f(0).
54
Let c = 141 - 47. Suppose -z = 2*a - 97, 3*a - 2*z - c - 69 = 0. What is the remainder when a is divided by 6?
3
Let r be (-172)/(-60) + -3 - (-94)/30. Suppose -r*f - 112 = -4*f. Suppose -343 = -7*k - f. Calculate the remainder when k is divided by 5.
3
Let i = -6311 + 6374. What is the remainder when 345 is divided by i?
30
Let n(h) = 12*h**2 + 42*h + 24. Calculate the remainder when 573 is divided by n(-4).
45
Let o be (-5 - -7) + (-76)/(-1). Let x = 78 + -137. Let u = x + o. What is the remainder when 50 is divided by u?
12
Let f be (-16)/20*(51 - 1). Let h be (-1028)/(-5) + 24/f. Suppose 0 = 5*m - 0*u - 2*u - h, 5*u - 197 = -4*m. Calculate the remainder when m is divided by 22.
21
Suppose 4*l - 5*r - 41 = -2*r, -4*r - 51 = -5*l. Let y = -169 + 201. Calculate the remainder when -2*2 - (1 + (4 - y)) is divided by l.
1
Suppose 0 = -y + 39 + 1. Let q = 19367 + -19356. What is the remainder when y is divided by q?
7
Let w = 7118 + -7095. What is the remainder when 3745 is divided by w?
19
Suppose v + 1888 = 4*w, -1307 - 1083 = -5*w + 5*v. Calculate the remainder when w is divided by 182.
106
Suppose 8*b + b - 63 = 0. Let g(t) = 3*t + 5. Let c be g(-14). Calculate the remainder when b is divided by (1 + 1 - -1) + (c - -36).
1
Suppose 1625 = 13*i + 12*i. Calculate the remainder when 179 is divided by i.
49
Suppose -3*k + 4160 = 26*k - 9*k. Calculate the remainder when k is divided by 14.
12
Let a(r) = -2*r**2 + 5*r - 5. Let d be a(2). What is the remainder when 35 is divided by 5/(-2 + d)*-19?
16
Suppose 0 = 107*z - 32*z - 525. What is the remainder when 277 is divided by z?
4
Let k = 92 + -78. What is the remainder when 30/105 + 2600/k is divided by 38?
34
Let v = 251 + -241. Suppose -8*n + v*n = 5*w + 135, -5*n + 2*w = -348. Calculate the remainder when n is divided by 26.
18
Let x be -1 + -165 - (-6)/(-24)*-4. Let o = x + 196. Suppose -2*k + 27 = 3*a - 0*a, a = -5*k - 4. Calculate the remainder when o is divided by a.
9
Let q = 72 - 37. Let v(j) = j**3 - 8*j**2 + 7*j - 21. What is the remainder when v(11) is divided by q?
34
Let f(r) = -11*r**2 - 597*r - 127. What is the remainder when 27*-5*(2 + -3) is divided by f(-54)?
30
What is the remainder when 242 is divided by (-1246)/(-54) - (-26)/(-351)?
12
Let p be 2*(3 + 65/(-10)). Let h = p + 39. What is the remainder when 23 is divided by h/112 - (-178)/14?
10
Let h = 25 + -39. Calculate the remainder when (-52)/h*(8 - (3 - 2)) is divided by 11.
4
Let g = 13 - 15. Let l be (0/2 + g)*(-5 - -3). Suppose 5*v - 107 = v - 3*n, -l*n = v - 43. What is the remainder when v is divided by 13?
10
Suppose -2752 = -b + 17*h - 22*h, 2*h = -4*b + 11080. Calculate the remainder when b is divided by 47.
46
Let b = -9341 - -10085. Calculate the remainder when b is divided by 230.
54
Suppose 91*a - 94*a + 12 = 0. Suppose 725 + 755 = 4*i + a*m, -i + 372 = 3*m. Calculate the remainder when i is divided by 76.
65
Suppose 0 = 35*b - 17*b - 9708 - 3864. Calculate the remainder when b is divided by 155.
134
Suppose 88 + 0 = 4*i. Suppose 3*u + 2*u + 5*j - 35 = 0, 0 = -4*u + 3*j + 7. Calculate the remainder when (-1)/(-22)*u + 1734/i is divided by 17.
11
Suppose 2*c + h + 13 = 0, 2 = -3*c - 4*h - 10. Let d = c + -19. Let t = 44 + d. Calculate the remainder when t is divided by 6.
5
Calculate the remainder when 500 is divided by 96*2*(-7)/(-21).
52
Suppose 0 = -22*d + 24*d - 68. Suppose 3*f - d = 26. Suppose -2*g + 10 = -f. Calculate the remainder when g is divided by 4.
3
Suppose 4*t + 38 = 42. Suppose t = w - 21. Calculate the remainder when 133 is divided by 189/11 - 4/w.
14
Let x be 2 - (-8 - (2 - 1)/(-1)). Suppose 33 = 4*g + x. Suppose -2*c = 3*y - 28, -c - 36 = -g*c + y. What is the remainder when 21 is divided by c?
5
Let c = -1319 + 1369. Let h = -276 + 414. What is the remainder when h is divided by c?
38
Let h be (-36)/4 - (0 - 4). Let r(p) = 6*p**2 - 11*p - 37. Calculate the remainder when r(h) is divided by 58.
52
Let g = 135 - 229. Let f = -98 - g. Calculate the remainder when 45/5 + f/(-1) is divided by 6.
1
Let f = -457 + 501