 5*y + 3*k = 35 + 20, s = 4*y - k. What is the remainder when 96 is divided by y?
8
Let w = 212 + -238. Suppose 20*o - 16*o - 308 = 0. Let h = w + o. What is the remainder when h is divided by 11?
7
Let t(o) = -o - 1. Let q(h) = 48*h + 27. Let x(a) = -q(a) + 6*t(a). Calculate the remainder when x(-8) is divided by 40.
39
Suppose -5*y - j = -291, -4*y + 0*j + 244 = -2*j. Suppose -9*d - 27 = z - 4*d, 49 = 3*z + 2*d. Calculate the remainder when y is divided by z.
13
Let s(j) = j**2 - 12*j + 37. Let v be s(4). Suppose 17 = -g + 4*d + 33, d - v = 0. What is the remainder when g is divided by 17?
2
Let c(o) = 6*o**2 - 17*o - 303. What is the remainder when c(28) is divided by 77?
75
Let k(q) = -4*q**3 + 5*q**2 + 61*q - 17. What is the remainder when 365 is divided by k(-4)?
65
Suppose 3*m - 69270 = -5*l, 5*l - 14*m = -18*m + 69265. Calculate the remainder when l is divided by 220.
217
Let f = 337 + -196. Calculate the remainder when 412 is divided by f.
130
Let c = 186 - 196. Let v(s) = -s**2 - 12*s + 20. Calculate the remainder when v(c) is divided by 3.
1
Let u(j) = 390*j - 3283. What is the remainder when u(10) is divided by 207?
203
Suppose 0 = -10*q + 19 + 1. Let s(f) = 3*f - 7. Let u(y) = y**2 - y + 1. Let r(c) = q*u(c) - s(c). Calculate the remainder when 45 is divided by r(3).
9
Let l be (-16 - -15)*42/(-1). Suppose -2*z = g - l, -4*g - g - 54 = -2*z. What is the remainder when 55 is divided by z?
11
Let d(p) = 3*p + 9 + 7 - 4*p. Calculate the remainder when 3*47/3 + -2 is divided by d(-9).
20
Let t = 2035 + -1988. Calculate the remainder when 2582 is divided by t.
44
Let l = -158 - -189. Suppose -l*t + 1482 = 180. What is the remainder when t is divided by 16?
10
Suppose 3*t - 6*f - 34 = -4*f, 0 = 4*t + 2*f - 50. What is the remainder when 500 is divided by t?
8
Suppose -1200 = -14*y - 6*y. What is the remainder when 27 is divided by (1*(-3)/6)/((-2)/y)?
12
Let n(t) = -8*t - 21*t - 13*t - 37 + 13*t. Calculate the remainder when n(-14) is divided by 10.
9
Calculate the remainder when 734 is divided by 9*2/63 - 1401/(-21).
64
Let g be (-9)/21 - 14964/(-28). Calculate the remainder when (g/30 - 8)/(2/10) is divided by 1.
0
Suppose 5*f + 4*y - 28 + 2 = 0, 5*f = y + 6. Calculate the remainder when 82 is divided by (226 + -1)/5 - 2/f.
38
Let p = -4923 - -4973. What is the remainder when 651 is divided by p?
1
Let b(w) = -3*w**3 - 6*w**2 + 107*w + 582. What is the remainder when b(-6) is divided by 84?
36
Suppose 81 = 2*b + b. Suppose -336 = -5*y - 4*i, 21 = 6*i + 27. Calculate the remainder when y is divided by b.
14
Let n = 44635 + -36382. Calculate the remainder when n is divided by 12.
9
Let j(p) be the second derivative of p**3 - 17*p**2 + 51*p. What is the remainder when 85 is divided by j(13)?
41
Suppose i = 6*i - 60. Let f = i - 8. Suppose -3*a = -f*y + 2*a + 154, -a = y - 43. Calculate the remainder when y is divided by 6.
5
Let v = 3734 + -2928. What is the remainder when v is divided by 272?
262
Let r(v) = -v**3 - 34*v**2 + 2*v. Calculate the remainder when r(-35) is divided by 43.
37
What is the remainder when 468 is divided by 30*((-50)/175 - (-124)/42)?
68
Suppose -s = -2*t, 3*s = -s + 3*t. Suppose s = -3338*m + 3344*m - 144. What is the remainder when (-4)/6 - (-1438)/6 is divided by m?
23
Suppose -22*l = 8 + 36. Calculate the remainder when (l/4)/(-1)*68/2 is divided by 4.
1
Calculate the remainder when (-3)/(-5) + 392624/560 - 8/(-28) is divided by 117.
0
Suppose -271*r + 324*r = 1272. Suppose 0 = 2*y + 2*y - 444. Suppose -359 - y = -5*f. What is the remainder when f is divided by r?
22
Suppose 0 = -32*p + p + 4092. Suppose 2*b - 27 = -5*m + 54, 2*m + 2*b - 36 = 0. What is the remainder when p is divided by m?
12
Let o(b) = -2*b**3 - 30*b**2 - 7*b + 314. Let t = 1206 - 468. What is the remainder when t is divided by o(-14)?
18
Let v(k) = 13*k - 724. What is the remainder when 1442 is divided by v(57)?
14
Suppose 15*c = -3*c + 6894. Suppose z = 2*n - c, 3*n - 3*z - 602 = -7*z. Calculate the remainder when n is divided by 22.
18
Suppose 0 = 35*p + 197*p - 2918 - 4506. What is the remainder when 138 is divided by p?
10
Suppose 4*n + 4*a = 16, 3*n - 42 + 30 = a. Suppose -557 = -5*x + 3*v, 4*x - 432 = -5*v + n*v. Calculate the remainder when x is divided by 29.
22
Let j(a) = -a**3 + 7*a**2 + 2*a - 8. Let q be ((-4)/(-6))/(-6 + 208/36). Calculate the remainder when 4 + q + 1 - -235 is divided by j(6).
37
Suppose 2*r - 200 = -3*r. Let j = -72292 - -72305. Calculate the remainder when r is divided by j.
1
Let m(j) = -j**3 - 28*j**2 + 18*j - 37. Let r be m(-29). Let i = r + -226. Calculate the remainder when i is divided by (-2 + 1)/(3/(-57)).
18
Suppose -5*k + 3*n = 1107 - 188, 4*k + 734 = 2*n. Let v = 207 + k. Calculate the remainder when 49 is divided by v.
24
Calculate the remainder when 2325 is divided by (276/6)/((8/(-26))/(6/(-13))).
48
Let r = 2264 + -1655. What is the remainder when r is divided by 34?
31
Suppose -5*w + 91 = -0*w + 3*d, 0 = 4*w + 4*d - 68. Let j = -89 + 323. Suppose 0*n - 3*n = -j. Calculate the remainder when n is divided by w.
18
Suppose 7*x - 355 = -5*t + 3*x, t + 5*x = 92. Let b be 4 + -19 - 3 - 3. Let c = b + t. Calculate the remainder when c is divided by 16.
14
Suppose 19341*p = 19398*p - 5700. Calculate the remainder when 20097 is divided by p.
97
Let w = -275 - -297. Calculate the remainder when 54 is divided by w.
10
Suppose 21*p - 15*p = 66. Let m(i) = 2*i**2 + 2*i + 9. Let s be m(4). Let d = s + -9. What is the remainder when d is divided by p?
7
Suppose 2*n - 1 = -2*v - 5, -5*v = 3*n + 10. Suppose -b = -n*b. Suppose 6*z - 5*z - 21 = b. Calculate the remainder when z is divided by 6.
3
Let o be (-1)/(-1)*(1 + 0). Let m(a) = 91*a**3 - 2*a + 2. Suppose 4*c - 3*c - 25 = 0. Calculate the remainder when m(o) is divided by c.
16
Suppose -2*c - 5 = -9. Suppose 84 = -c*u + 14. Let t = 16 - u. Calculate the remainder when t is divided by 18.
15
Suppose 7*v = 6*v - 93. Suppose -4*m - 5*a + 272 = 0, -5*a = 5*m + 116 - 456. What is the remainder when m is divided by v/(-5) - (-33)/(-55)?
14
Let p = -218 - -115. Let t = -95 - p. Suppose -t*x = -7*x - 27. Calculate the remainder when 77 is divided by x.
23
Suppose -3*q = 2*q. Suppose -3*b = -q*b - 84. Let g = -66300 + 66438. What is the remainder when g is divided by b?
26
Suppose -3*z = 2*z + 5*w - 335, 4*w = -3*z + 204. Suppose -12*r - 2*d = -9*r - 25, -2*r = -2*d. What is the remainder when 3 + z/r + (-3)/(-15) is divided by 5?
1
Let t(m) = -60*m - 360. Let q(d) = 5*d + 30. Let o(s) = 35*q(s) + 3*t(s). Calculate the remainder when 15 is divided by o(-7).
0
Let t = -5598 - -6427. What is the remainder when t is divided by 256?
61
What is the remainder when 18/48 - (-93084)/96 is divided by 27?
25
Let j = 186 - 185. Suppose 3*x - 7*x + u + 5 = 0, 2*x = -u + j. Calculate the remainder when x is divided by 1.
0
Suppose 3*q = -4*q + 17*q. Let g = 0 - 1. What is the remainder when (-1605)/(-20) + g/4 + q is divided by 22?
14
Let f(w) = w**2 + 7*w + 19. Let l be (1/1*1)/((-1)/5). What is the remainder when 15 is divided by f(l)?
6
Suppose 0 = 16*f + 623 - 2319. Calculate the remainder when 212 is divided by f.
0
Let f(s) = s**3 + 12*s**2 + 6*s - 47. Calculate the remainder when 90 is divided by f(-11).
2
What is the remainder when (-26292)/(-210)*(4 + 1) is divided by 33?
32
Let t = -955 - -1344. Let q = t - 363. What is the remainder when q is divided by 11?
4
Suppose 14*s - 1166 = 514. Let v = s - 85. Let x(f) = 2*f**2 + 7*f - 6. What is the remainder when x(-8) is divided by v?
31
Let o be 1320/50 + (-14)/10. Suppose o*u - 10*u = 225. What is the remainder when 194 is divided by u?
14
Let f(u) = -30*u**2 - 2622*u - 8. Calculate the remainder when f(-87) is divided by 20.
16
Let s be 6/(-27)*-6 + (-6394)/(-6). What is the remainder when (-123 + 0)*1*-1 is divided by 1/(-7)*-1 + s/77?
11
Suppose 9*x - 38 + 110 = 0. What is the remainder when (-7)/((x/(-20))/(-2)) is divided by 9?
8
Calculate the remainder when 8027 is divided by 35/(-10)*(73/4)/(7/(-16)).
143
Let f = -7270 - -7286. What is the remainder when 173 is divided by f?
13
Let w(u) = 96*u**2 + 3*u + 1. Suppose -6*r + r = 4*l - 1, -4*l = 2*r + 2. Let y be (l - 0)/(-1 - -2). What is the remainder when w(y)