8. What is the remainder when 32 is divided by s(r)?
2
Let i(p) = 6*p - 108. Let w be i(13). Let k = w + 48. What is the remainder when 86 is divided by k?
14
Suppose -2*o + 5 = g, -2*g - 7 = -3*g - 4*o. Let v be 0/g + 0 + 0. Suppose -2*x + 43 + 7 = v. Calculate the remainder when x is divided by 14.
11
Let s(n) = 9*n - 150. Let g be s(18). Suppose -g*p - 177 = -13*p + 2*f, p = 3*f + 176. What is the remainder when p is divided by 13?
10
Suppose -8*y + 4*j - 32 = -12*y, 0 = j - 5. Suppose -10*g + y*d = -5*g - 448, -2*d = -3*g + 269. Calculate the remainder when g is divided by 0 + 0/1 - -10.
9
Suppose 76111 = 126*g + 5*g. Calculate the remainder when g is divided by 11.
9
Suppose 0 = h - 21 - 12. Suppose 2*b - 5*o - 18 = h, -5*b = -4*o - 85. What is the remainder when b is divided by (-1 - 0)/(5/(-35))?
6
Suppose 37 = -6*k + 991. Suppose 12 = 161*m - k*m. Suppose m*i - 8*i = -236. Calculate the remainder when i is divided by 12.
10
Let c(n) = -11*n**3 - n - 1. Let r be c(-1). Suppose 4*z = 83 - r. Let b = -981 - -985. What is the remainder when z is divided by b?
2
What is the remainder when (0 + 3)*1659/63 is divided by 44?
35
Let b = 41 + -37. Suppose 3*a - a = 476. Calculate the remainder when a is divided by b - 3/(60/(-57) - -1).
55
Let x(h) = 18*h**3 + h**2 - 6*h + 3. Let p be (6/(-4))/((-60)/40). Calculate the remainder when 37 is divided by x(p).
5
Let w = -1546 + 1585. Calculate the remainder when w is divided by 4*(6 + 3/(-1)).
3
Suppose 355 = 2*w - 3*i, -4*w - 50*i + 47*i = -773. Calculate the remainder when w is divided by 108.
80
Let x be 1 - (4/12)/(3/(-27)). Suppose 3 = -x*m + 191. Suppose y + 3 = 0, 3*y - 2*y = 2*j - 13. Calculate the remainder when m is divided by j.
2
Let n = 714 + 32. Let v = 826 - n. Let a(f) = -f**3 + f + 21. Calculate the remainder when v is divided by a(0).
17
Let s(u) = 8*u**2 + 26*u + 39. What is the remainder when 183 is divided by s(-3)?
18
Suppose -15*o + 4*o = -1848. Let l = -166 + o. Calculate the remainder when 14 is divided by l.
0
Suppose -f - 779 - 179 = -3*b, -2*f + 973 = 3*b. Suppose q - 8*t - 4*t + 11 = 0, q + 5*t = 40. What is the remainder when b is divided by q?
21
Suppose -117 = 3*l - 129. Suppose -4*c - l*j = -1376, -4*c = -0*c - j - 1391. What is the remainder when c is divided by 14?
11
What is the remainder when 440/55 + 1 + 7251 is divided by 53?
52
Calculate the remainder when ((-171)/513)/((-2)/4776) is divided by 16.
12
Let l(c) = c**3 - 16*c**2 + 65*c + 1. Let d(i) = 9*i - 47. Let a be d(6). Suppose p - 38 = 36. Calculate the remainder when p is divided by l(a).
14
Calculate the remainder when 111962/222 + (-16)/(-6) is divided by 128.
123
Suppose 4*m + 320 = 14*m. Suppose -32 - m = -g. What is the remainder when 127 is divided by g?
63
Let d be 6/8 - 35/4. Let m(k) = -k**3 - 8*k**2 - k + 11. Let z be m(d). Suppose 14*x = z*x - 15. Calculate the remainder when 9 is divided by x.
0
Let p = 777 - 590. Calculate the remainder when 5235 is divided by p.
186
Let n = 55 + -54. Suppose 2*c = -10, -2 = -2*b - 4*c - 6. Calculate the remainder when -5*(10 - n)*(-2)/6 is divided by b.
7
Suppose 2*s = 2*n + 3*s - 108, n - 63 = -5*s. Suppose -n*t = -50*t - 135. Calculate the remainder when t is divided by (24/(-7))/((-3)/21).
21
Let w(k) = -k**2 + 4*k - 1. Let b be w(4). Let c be -2 + 3 + (-3 + 2)*b. Suppose 5*z = 0, 2*z + 2*z + 128 = c*n. What is the remainder when n is divided by 14?
8
What is the remainder when 3178 is divided by (-8 - (-40 - -5)) + (-20)/(-4) + -2?
28
Suppose 1195257 = 194*q - 1248755. Calculate the remainder when q is divided by 315.
313
Suppose 3*k = -d + 149, -5*k - 64*d + 60*d + 253 = 0. Calculate the remainder when 268 is divided by k.
23
Let p(z) = -z**3 + 7*z**2 - 6*z + 20. Let j be p(6). Suppose -d + 2 = 3*h - j, -5*d - 3*h = -62. Calculate the remainder when d is divided by 4.
2
Let m(r) = -r**2 + 9*r + 23. Let w be m(11). Let a be 16 + (2 - (-2 + 4))/w. Suppose 0 = -i - 0*i + a. What is the remainder when 31 is divided by i?
15
Suppose -19*z + 88 = -11*z. Calculate the remainder when 4025 is divided by z.
10
Let t = -24 - -151. Let r(j) = -j**2 + 58 + 3*j**2 + 6*j - 51. What is the remainder when t is divided by r(-6)?
41
Let v(g) = g**3 + 17*g**2 + 16*g + 11. Let l be v(-11). Let t = 647 - l. What is the remainder when 164 is divided by t?
78
Let x(m) = 2*m**3 + 227*m**2 - 119*m - 562. What is the remainder when 9814 is divided by x(-114)?
6
Suppose -3*v + 18 = -2*b, -b = 4*v - 2*b - 24. Calculate the remainder when (1/(-3))/(2/v) - -121 is divided by 35.
15
Let n(m) = -m + 8. Let h be n(5). Suppose -h = -d + 2. Suppose -3*r - d*f = 2*r - 195, -2*r + 4*f + 102 = 0. Calculate the remainder when r is divided by 23.
20
Suppose 92*w = 81*w + 9999. Calculate the remainder when w is divided by 871.
38
Suppose -4*b = 79 + 113. Let y = 9 + -1. Calculate the remainder when 3/(b/(-56))*6 is divided by y.
5
Let p = 59 - 29. Let t be (3 - -2) + 6/(-2). Suppose h - a - 9 = -0*a, -t*a - 29 = -3*h. Calculate the remainder when p is divided by h.
8
Let m(t) = 11*t**2 + t. Suppose -5*k = -4*x + 1233, 4*x - 913 = 4*k + 323. Let d = x - 309. What is the remainder when m(-1) is divided by d?
1
Let f(y) = 93*y**2 + 39*y - 126. Calculate the remainder when f(3) is divided by 93.
84
Let a(s) = -72*s + 543. Calculate the remainder when a(-11) is divided by 78.
9
Suppose -4*b + 16 = 5*h, -9*b + 6*b = -3*h - 12. Suppose -706 - 382 = b*s. Let l = 396 + s. What is the remainder when l is divided by 63?
61
Let j be (5 + 201)/(0 - (-2)/5). Let l = 552 - j. What is the remainder when l is divided by 17?
3
Calculate the remainder when 3220/147 - (-16 - 3006/(-189)) is divided by 3 - 0/((-3)/3).
1
Let o = 13205 + -13185. What is the remainder when 6856 is divided by o?
16
Suppose 339 = 5*c - 1586. What is the remainder when (2 + c/10)/(3/4) is divided by 6 + (1 - -19) - -2?
26
Suppose 14*m - 12*m + 4*y - 308 = 0, -2*m + 4*y + 348 = 0. Suppose 65*s = 69*s - m. What is the remainder when 121 is divided by s?
39
Let a = -43 - -67. Suppose 13476 = 5*j + 1126. What is the remainder when (-3)/(-2)*j/39 is divided by a?
23
Suppose 11*i - 541 - 739 = 403. Calculate the remainder when i is divided by 50.
3
Let w = -1 + 0. Let j = 417 + -503. Calculate the remainder when w/(-2*(-1)/j) is divided by 23.
20
Suppose 4*k = 8*k - 116. Let z(y) = y + 5. Let d be z(3). Suppose f - d = k. Calculate the remainder when 69 is divided by f.
32
Suppose 28 = 6*h + h. Suppose 0 = 8*n - 1685 + 1525. Calculate the remainder when 219/(-6)*-2 + h is divided by n.
17
Let k(f) = f**3 + 5*f**2 + 219*f + 1384. What is the remainder when 636 is divided by k(-6)?
24
Let k(z) = -z**2 + 18*z - 33. Let b(i) = -i**3 + 8*i**2 - 11*i - 5. Let m be b(5). What is the remainder when 83 is divided by k(m)?
11
Let i = 33 + -60. Let x = i - -46. Suppose z = -c + 3, -10*z - 280 + 200 = -c. Calculate the remainder when x is divided by c.
9
Let n be 20/15 + (-293)/(-3) + 1. Suppose -n = -u + 11. Let o = u - -150. What is the remainder when o is divided by 33?
30
Let p(s) = -s**3 - 14*s**2 - 26*s - 13. Suppose 21*b = 3*b - 216. Let o(u) = -43*u. What is the remainder when o(-1) is divided by p(b)?
10
Let o = 13 + -8. Suppose -o = -j - 0*j. What is the remainder when (-1)/(-4) - (10/9 + 1420/(-144)) is divided by j?
4
Suppose -2*q = -x - 642, -3*q - 4*x + 3*x = -958. What is the remainder when q is divided by 1*(-10 + (-8 - -23) + 18)?
21
Suppose 363 = 3*o + 3*u - 1869, 2238 = 3*o + u. What is the remainder when o is divided by 155?
127
Let x = -70 - -43. Let i be (4/9)/(-2) + (-114)/x. What is the remainder when 20 is divided by (i - (-68)/(-20))/((-1)/(-5))?
2
Suppose -z = -2*m - 3 + 8, -4*m + 5*z = -7. Suppose -5*l - 4*b + 364 = 0, -7*b + m*b + 60 = l. Calculate the remainder when l is divided by 20.
16
Let x(c) = c**2 - 20*c + 145. Suppose 9*r - l = 12*r - 104, 3*l = -3. What is the remainder when x(21) is divided by r?
26
Let y = -260 + 314. Suppose -16 = -3*a + 8. Calculate the remainder when y is divided by a.
6
Let g be -11 + -153 + 3*2. Let k = g - -296. What is the remainder when k is divided by 20?
18
Let c(z) = 547*z + 9877. Calculate the remainder when 3312 is divided by c(-18).
26
Let r = 862761 + -862749. What is the remai