4.
10
Let f(c) = 4*c + 22. Suppose 71 - 53 = -3*u. Let m be f(u). Calculate the remainder when (-582)/(-7) - (m - 45/(-21)) is divided by 22.
17
Suppose 14*u - 13*u - 95 = 0. What is the remainder when 277 is divided by u?
87
Suppose 11*f + 29 = -26. What is the remainder when 82 is divided by 21 - (f/10 + (-4)/(-8))?
19
Let s(z) = z**3 - 6*z**2 + 2. Suppose -28*b + 112 = -196. Calculate the remainder when b is divided by s(6).
1
Let j(q) = -111*q - 1414. Calculate the remainder when j(-22) is divided by 4.
0
Let k(y) = y**3 + 4*y**2 - 1. Let f be k(-4). Let p be (2 + f)*(-28 - -1). Let l = -18 - p. What is the remainder when 32 is divided by l?
5
Let i(l) = -4*l - 11*l**3 + l**2 + 0*l + 6*l. Suppose 0 = 3*q - 15, -38*q + 41*q + 159 = 2*p. Calculate the remainder when p is divided by i(-1).
7
Suppose i = -a - 98 + 374, 3*i = 12. Suppose a = 9*b + 8*b. Calculate the remainder when 62 is divided by b.
14
Let y = 14685 + -14655. What is the remainder when 1193 is divided by y?
23
Let x = -7 + 83. Let u(p) = -2*p**3 + p**2 - 1. Let c be u(-2). Suppose 3*n - x = -c. Calculate the remainder when n is divided by 5.
4
Suppose -5380 = -42*a + 2894. Calculate the remainder when a is divided by 187.
10
Let m(j) be the second derivative of -3*j**5/20 + j**4/3 + 11*j**3/6 + 12*j**2 - 87*j. Calculate the remainder when m(-4) is divided by 60.
56
Suppose 79548 - 13163 = 66*k + 5*k. What is the remainder when k is divided by 158?
145
Suppose -45*o + 1394 = 1684 - 1820. Let i = 565 + -392. Calculate the remainder when i is divided by o.
3
Suppose -5*l + 4*a + 55 = 6, 7*a - 28 = 0. What is the remainder when 332 is divided by l?
7
Let h be (-8)/12 - 110/(-3). Suppose 0 = 13*i - 159 - h. Calculate the remainder when i is divided by 15.
0
Let g(a) = a**3 - 1. Let f(k) = -5*k**3 + k**2 - k - 6. Let j(l) = f(l) - 3*g(l). Let x be j(-2). Let s = x + -6. What is the remainder when s is divided by 17?
10
Calculate the remainder when ((-1920)/(-224))/(9/2205) is divided by 139.
15
Let b(g) = g**2 - 8. Let p be b(-3). Calculate the remainder when (148 + 3)*-1*p*-1 is divided by 28.
11
Let p(i) = -3*i**3 - 9*i**2 - 30*i - 231. Calculate the remainder when p(-15) is divided by 260.
259
Suppose 0 = -4*f - 88*z + 84*z + 4608, 0 = 3*f - z - 3484. Calculate the remainder when f is divided by 95.
19
Suppose -34 - 66 = -5*b. Suppose -18*a + 14*a = -b. Let w(o) = -20*o - 2. What is the remainder when w(-1) is divided by a?
3
Suppose 0 = p - 6*g + 3*g - 59, 0 = 3*p - 2*g - 142. Suppose -3*a = 3*n - 924, 4*n + 3*a - 7*a = 1208. What is the remainder when n is divided by p?
41
Let v = 28 - -6. Let n(y) be the first derivative of -y**3/3 + 33*y**2/2 + 4*y - 4. What is the remainder when n(6) is divided by v?
30
Suppose y + 405 = -2*g + 425, 0 = 2*y - g - 30. What is the remainder when 41 is divided by y?
9
Suppose 5*h - 30 = -5*u, -h - 4*u = -6*u + 9. Calculate the remainder when (-2)/((-345)/335 + h) is divided by (-1 - 3/(-9))*-51.
33
Let g(r) = -3*r**2 - 8*r - 5. Let c be g(-5). Let q(w) = 24*w + 11. Let p be q(-5). Let n = c - p. What is the remainder when n is divided by 18?
15
Let u = -2662 - -2877. What is the remainder when u is divided by 56?
47
Suppose -19*z + 10 = -21*z, 0 = 4*p - 3*z - 159. What is the remainder when 646 is divided by p?
34
Suppose 3*c - 18 = 0, c + 29 = -5*v + 190. Calculate the remainder when 54 is divided by v.
23
Suppose 0*n - 5*n = 5*l - 295, -n + 54 = 2*l. Calculate the remainder when n is divided by 19.
7
Suppose -56 = 9*y - 101. Let v(m) = m**3 + m**2 - 26*m - 12. What is the remainder when 70 is divided by v(y)?
6
Let k = -3367 + 3469. What is the remainder when 1936 is divided by k?
100
Let s = -23 + 58. Calculate the remainder when (-270970)/(-869) + (-2)/(-11) is divided by s.
32
Let p = -9725 + 10420. What is the remainder when 2085 is divided by p?
0
Suppose 54217 - 52978 = 21*u. What is the remainder when 707 is divided by u?
58
Let f be -2 - 49/(-7) - -1. Calculate the remainder when 229 is divided by 29/(-2*f/(-24)).
55
Let p be (-2 - 8308/(-8))*6/9. Let y = -637 + p. What is the remainder when 214 is divided by y?
52
Calculate the remainder when (19/(-76)*-3)/((-6)/(-1688)) is divided by 138.
73
Suppose 3648*m - 13914 = 3630*m. Calculate the remainder when 803 is divided by m.
30
Let c = 8077 - 8017. Calculate the remainder when 374 is divided by c.
14
Let a be (4/8)/((-7)/(-546)). Suppose -t + 0*p + 3*p = -a, -67 = -2*t - 5*p. Calculate the remainder when t is divided by 13.
10
Suppose -s - 3 = -2*r, 5*s - 3 - 6 = 2*r. Suppose 0 = 2*o - r*i - 14 - 16, 4*o - 60 = 4*i. Calculate the remainder when 129 is divided by o.
9
Suppose 4*j + 9 = 49. Suppose 2*z = 7*z - j, 5*a + 3 = 4*z. What is the remainder when 3 is divided by a?
0
Suppose 17*c = 21*c + 143*c - 10878. What is the remainder when 244 is divided by c?
22
Calculate the remainder when (144/10)/((-78)/(-9880)) is divided by 25.
24
Suppose -8*c + 20 = -3*c - 3*b, c - 4*b = 4. Let y be (2 - 6)/(2/(-23)). Suppose y - 6 = 4*h. Calculate the remainder when h is divided by c.
2
Let o(k) = 4*k - 6. Suppose -6*f + 5*f = 3*g - 35, 0 = 2*g - 5*f - 46. Calculate the remainder when g is divided by o(4).
3
Let v(k) = 16*k + 14*k - 91 - 60*k + 21*k. What is the remainder when 44 is divided by v(-13)?
18
Suppose -f + 3 = -3*x - x, -4 = f + 3*x. Let a be f/((-1)/28 - 0). Let r = 35 - a. What is the remainder when 55 is divided by r?
6
Let g = 4 + 0. Suppose -g*w = -20, -h = -w + 4 - 8. Let j(y) = -2*y**3 - 262*y**2 + 277*y + 1730. Calculate the remainder when j(-132) is divided by h.
5
Calculate the remainder when 360 + -2 + 12/(-4) is divided by 53.
37
Let w = 8110 - 7854. Calculate the remainder when w is divided by (-16)/120 + 92/15.
4
Let p(m) = -m**3 + 18*m**2 - 12*m + 368. What is the remainder when p(10) is divided by 21?
19
Let k(n) = 36*n**2 - 2*n + 1. Let h(w) = 19*w + 714. Let o be h(0). Suppose -33*t + 40*t = o. Calculate the remainder when t is divided by k(1).
32
Suppose 5056 = 4*a - 2*w, -a - 4*w = -203 - 1034. Calculate the remainder when a is divided by 139.
10
Let r = -13385 - -13410. Let o(n) = -224*n - 1. What is the remainder when o(-1) is divided by r?
23
Let r = 3066 + 6245. What is the remainder when r is divided by 97?
96
Let i(y) = -168*y - 497. Calculate the remainder when i(-4) is divided by 46.
37
Let y = 28 - 306. Let b = 397 + y. Suppose 3*g - 131 = -b. Calculate the remainder when 5 is divided by g.
1
Let f = -7304 + 7314. What is the remainder when 4089 is divided by f?
9
Let c(i) = 12*i - 9. Let h(l) = -l + 11. Let u be h(10). Let v(x) = 7*x - 5. Let a be v(u). Calculate the remainder when 88 is divided by c(a).
13
Let f(y) = y**2 - 8*y + 222. Let a be f(0). Let v = 246 - a. What is the remainder when 599 is divided by v?
23
Suppose p - 3*t + 11 = -43, 205 = -5*p + 2*t. Let d be (1/(-30)*-15)/((-2)/(-224)). Let o = d + p. Calculate the remainder when 65 is divided by o.
14
Let p = -476 - -277. Let n = -142 - p. Suppose 14 = 2*q - 16. What is the remainder when n is divided by q?
12
Let c(t) = t**3 - t**2 - 4*t - 1. Let z be (-32)/(-5) - 4/10. What is the remainder when c(z) is divided by 13?
12
Calculate the remainder when -2*(-2)/(-8)*(5 + (-3 - 284)) is divided by 13.
11
Let v(l) = -l**3 - 6*l**2 + 13*l - 5. Suppose -61*j + 2002 = -47*j. Calculate the remainder when j is divided by v(-8).
10
Let w be 54/(-9)*(-2)/2. Let g(n) = 2*n - 5. Let p be g(w). Suppose p*o - 4*o = 36. Calculate the remainder when 43 is divided by o.
7
Let y = -73 - -185. Suppose 0 = -7*g - 28 + y. Let d = -37 - -56. What is the remainder when d is divided by g?
7
Suppose -k - 3 = -33. What is the remainder when k is divided by (7922/663 - 12) + 5/585*942?
6
Let l = -7307 + 7318. Calculate the remainder when 4310 is divided by l.
9
Let t(b) = b - 5. Let n be t(7). Suppose -39 = -n*a - 9. Calculate the remainder when a is divided by (35/5 + -6)/1 - -2.
0
Let g(d) = 2*d**2 + d - 3. Let f = 286 + -296. What is the remainder when g(f) is divided by 39?
31
Suppose 2*n - 272 = -4. Let r = n + 84. Calculate the remainder when r is divided by 38.
28
Let v = 2909 + -2879. Calculate the remainder when 327 is divided by v.
27
Calculate the remainder when (-2)/(22/(572/(-39)) - (-46)/31) is divided