4.
20
Let t(o) = -o**2 - 33*o + 25. Calculate the remainder when t(-20) is divided by 24.
21
Suppose 15 = 119*p - 114*p, 2*p = -5*h + 111. Calculate the remainder when h is divided by 1.
0
Suppose 39*p - 50*p = -99. Let x be -2 + (-4)/(4/(-3)). Calculate the remainder when p is divided by x/4 + (-22)/(-8).
0
Suppose -5*p = 4*v - 55, -4*p + 3*p - 2*v + 11 = 0. Suppose 4*o + 2*f = 20, 15 = 12*o - 9*o + 3*f. Calculate the remainder when p is divided by o.
1
Calculate the remainder when 42080/110 + 12/(-22) is divided by 48.
46
Let z = -23 - -38. Let i = -6565 - -6575. What is the remainder when z is divided by i?
5
Let n(c) = 16*c**3 + c - 1. Let d(q) = -4*q - 14. Let i be (-14 + 25)/(2*2/(-4)). Calculate the remainder when d(i) is divided by n(1).
14
Calculate the remainder when 126/(-462) - 2052/(-22) is divided by 18.
3
Let i(h) = h**2 - 1. Let d be i(4). What is the remainder when ((-102)/4)/(2/(-4)) is divided by (36/d)/(2/15)?
15
Let o be (-34)/(-6) - (30/(-9) + 4). Suppose -4*d + o*m = -53, 3*d - 4*m - 7 = 32. What is the remainder when 50 is divided by d?
16
Calculate the remainder when ((-780)/(0 + 6))/(-2) is divided by 22.
21
Let x(r) = 2*r**2 + 2*r + 2. Let l = 98 + -95. Calculate the remainder when l/6*(-1 + -4 + 83) is divided by x(-3).
11
Let d = 9 - -3. Suppose -d = -0*t - 4*t. What is the remainder when t is divided by 1?
0
Calculate the remainder when 198 is divided by (2 - 8/2)/(70/(-1225)).
23
Suppose 22*r = -3*k + 20*r + 62, 45 = 2*k + 5*r. What is the remainder when 113 is divided by k?
13
Let m be ((-3)/(-2))/(1/10). Let o(z) = z**2 + 3*z - 17. Let a be o(-5). Let c = m + a. Calculate the remainder when 31 is divided by c.
7
Let m = -22 + 30. What is the remainder when m is divided by -5*(-2 + 2/2)?
3
Let p be -3 - (2 + -3) - -3. Suppose 2*f - 7 = -p. Suppose 0*x + f*x - 75 = 3*z, -5*x - z + 137 = 0. Calculate the remainder when x is divided by 10.
7
Suppose 3*z = f + 25, z = 3*f + f + 111. Let u be (24/(-28))/(8/f). Suppose j = -u*g, -4*g + g = -4*j + 45. What is the remainder when j is divided by 7?
2
Let r = -14 - -18. Suppose -108 = -r*q + 136. Suppose 2*n - 4*w = n + 24, -2*n - 5*w + q = 0. Calculate the remainder when 81 is divided by n.
25
Let f be 6/8*4*10. Suppose m = -2*p + 4*p + 18, -2*p + 4*m = f. Let h = p + 14. Calculate the remainder when h is divided by 4.
3
Suppose -3*f - 58 = -5*f. Calculate the remainder when (9 + 1)*(4 - (-90)/20) is divided by f.
27
Let w = 4 + 35. Suppose 0 = -5*j - 262 + 17. Let r = j + 59. What is the remainder when w is divided by r?
9
Suppose 0 = -3*n - 2*r + 409, -2*n = 3*r - 189 - 87. What is the remainder when n is divided by 43?
6
Let f(i) = -4*i - 7. Let x = -142 + 191. Calculate the remainder when x is divided by f(-8).
24
Let f = 454 + -427. Let i(a) = -a + 15. Suppose 5*n = -3*g + 5*g - 4, -4*n - 5*g + 10 = 0. What is the remainder when f is divided by i(n)?
12
Suppose -5*z = -2*t - 0*z + 11, -z = 5*t - 14. Suppose -2*v - 55 = -t*v. Calculate the remainder when v is divided by 28.
27
Let q(t) = t**3 - 7*t + 132. Calculate the remainder when q(0) is divided by 39.
15
Let z = 319 + -177. Suppose -2*m = z + 42. Let u = -48 - m. Calculate the remainder when u is divided by 12.
8
Suppose -19*o + 9971 = -4887. What is the remainder when o is divided by 79?
71
Suppose 0 = -4*n + 5*u + 140, 3*n - 92 = n - 3*u. Let m = n - -12. What is the remainder when m is divided by 9?
7
Calculate the remainder when 0 - (-11 + 10)*92 is divided by 66.
26
Suppose 4*m + 2*v = 117 + 23, -4*v - 35 = -m. Calculate the remainder when m is divided by (-52)/(-6) - (-1)/3.
8
Suppose -5*b = -5*u + 94 + 61, 5*b = -4*u + 79. Calculate the remainder when u is divided by 15.
11
Let f(p) = p**3 - 5*p**2 + 2*p - 4. Suppose 68*m - 33 = 65*m. Calculate the remainder when m is divided by f(5).
5
Suppose 4*v + 7 = -f, -v + 0 = -3*f + 18. Let j be (-29)/(-7) + -4 + (-4)/28. Suppose 35 + j = f*g. Calculate the remainder when 20 is divided by g.
6
Let p(x) = 4*x + 116. Calculate the remainder when 61 is divided by p(-28).
1
Let l(d) = -6*d - 16. Let k(u) = u**3 + 7*u**2 + 7*u - 1. Let y be k(-6). Calculate the remainder when l(y) is divided by 9.
8
Let q = -23 - -49. Let t(m) = m - 1. Let u(c) = -2*c**2 - 34*c + 22. Let d(x) = -10*t(x) - u(x). Calculate the remainder when q is divided by d(-13).
12
Let s = -9 + 11. Suppose s*v - v = 8. What is the remainder when 17 is divided by v?
1
Let l(y) = y**2 - 2*y - 4. Suppose -196 + 280 = 4*o. What is the remainder when o is divided by l(-3)?
10
Suppose -48*n = -876 + 348. What is the remainder when 261 is divided by n?
8
Suppose -4*h + 5 = 57. Let t = 3 - -26. Let v = t + h. Calculate the remainder when 46 is divided by v.
14
Let v(w) = w**2 + 7*w - 6. Let d(s) = -5*s + 340. What is the remainder when v(6) is divided by d(63)?
22
Suppose -r = 1 - 26. What is the remainder when 87 is divided by r?
12
Let l = 426 - 323. What is the remainder when 1440 is divided by l?
101
Let a = -127 - -158. What is the remainder when a is divided by (-1 - 5)/(3/(-4))?
7
Let b(d) = -d**3 - 8*d**2 + 2*d - 8. Let n be b(-8). What is the remainder when (-4*27/n)/(1/10) is divided by 12?
9
Suppose 594*n - 462*n - 1188 = 0. What is the remainder when (-1 - -12)/(1/3) is divided by n?
6
Let a = 296 - -133. What is the remainder when a is divided by 7?
2
Let x = 159 - 63. Suppose x = 5*v - 4*g, -5*v + 81 = -v + g. Calculate the remainder when 35 is divided by v.
15
Let m(u) = -34*u - 3. Let d be m(-2). Suppose -s = -6*s + d. What is the remainder when 76 is divided by s?
11
Suppose -f - 5*s + 97 = -4*s, 3*f - 284 = 4*s. Calculate the remainder when f is divided by 34.
28
Suppose -70 = -t + 328. Suppose -4*b + t = -2*h - 3*h, 2*h - 384 = -4*b. Let v = -47 + b. What is the remainder when v is divided by 26?
24
Suppose -405 = -3*f + 3*z, -2 - 2 = z. Let p = -690 - -736. Calculate the remainder when f is divided by p.
39
Let q(k) = -44*k - 297. What is the remainder when 85 is divided by q(-7)?
8
Suppose 3*i = -2*f + 715, 2*i + 2*f + 0*f - 474 = 0. Suppose -n + 3*s = -67, i = 3*n - 5*s + 52. Calculate the remainder when n is divided by 15.
13
Let m be (-9)/(-72) + 45/24. Suppose 0 = 5*j - 136 - 139. Calculate the remainder when 85 is divided by m/10 - (-1199)/j.
19
Let f = -1854 + 1906. What is the remainder when 347 is divided by f?
35
Let p = -7751 - -7813. Let m(y) = 3*y**2 - 3*y + 4. What is the remainder when p is divided by m(3)?
18
Suppose 0 = -y + 3 + 53. Suppose 0 = -5*x + y - 21. Suppose -x*i + 210 = -2*i. What is the remainder when i is divided by 11?
9
What is the remainder when (-18 - -17) + (705 - 5/(-5)) is divided by 59?
56
Suppose 9*a = 9810 - 7929. What is the remainder when a is divided by 6?
5
What is the remainder when 28 is divided by -9 - (-987)/77 - (-2)/11?
0
Let h = -44 + 76. Let j = 109 + h. Let r = j - 69. What is the remainder when r is divided by 25?
22
What is the remainder when 522 is divided by ((-4)/6)/((-64)/3360)?
32
Suppose -2*d = 5*a - 150, 3*d = 2*a + a - 69. What is the remainder when (1870/25 - (-3)/15) + 5 is divided by a?
24
Let p(j) = -j + 140. Let a be p(0). Suppose 10*l - 5*l = a. What is the remainder when 194 is divided by l?
26
Suppose 2*k = -3*z + 76, -5*k + 25*z - 30*z = -190. Calculate the remainder when k is divided by 2/3 + 26/6.
3
Let s(p) = -p + 3. Let d be s(12). Suppose -4*q + 5*h + 101 = -0*h, 3*h + 110 = 5*q. Calculate the remainder when 57 - (-2)/(6/d) is divided by q.
16
Let j(v) = 8*v**2 - v + 1. Let a = -19 - -46. Suppose 0 = -4*g + 25 + a. Calculate the remainder when g is divided by j(1).
5
Suppose y + 16 - 19 = 0. Let m(f) = f**3 - 2*f**2 - 2*f + 4. Let a be m(y). Suppose 0 = -q + 3 + a. What is the remainder when 19 is divided by q?
9
Let m(f) = f**3 - f**2 + f + 2. Let a be m(0). Let o(y) = 11 + a*y**2 - 1 - y**2 + y**3 + 0. What is the remainder when 39 is divided by o(0)?
9
Let h(q) = -8*q - 4. Suppose -2*n - n = 4*j - 193, -5*j + 5*n = -215. Calculate the remainder when j is divided by h(-2).
10
Suppose 727 = 8*a + 143. Suppose -5*b = -2*b + 129. Let u = a + b. What is the remainder when u is divided by 8?
6
Let f = -299 + 388. Let q(k) = k**3 - 5*k**2 + 2*k + 3. What is the remainder when f is divided by q(5)?
11
Suppose 2*y -