t b = 270 + h. Calculate the remainder when b is divided by 33.
30
What is the remainder when 134 is divided by (12/1)/1 - (9 + -12)?
14
Let p = -147 + 168. Let f(i) = -i**3 - 4*i**2 - i + 2. Calculate the remainder when p is divided by f(-4).
3
Suppose 0 = 3*d - 12 + 6. Let j = 6 + d. What is the remainder when 13 is divided by j?
5
Let c(i) = -35*i + 1059. Calculate the remainder when c(21) is divided by 66.
60
Let y(m) = -2*m**2 + 69*m + 56. What is the remainder when y(34) is divided by 21?
6
What is the remainder when 112 - (297/(-55) + 2/5) is divided by 30?
27
Suppose -113 = 4*n + 5*x, -117 = 4*n + 2*x + 5. Let j = n + 39. What is the remainder when 46 is divided by j?
4
Suppose -3*m + 4*s + 44 = 0, 5*s = m - 5*m + 69. Calculate the remainder when 27 is divided by m.
11
Let q(h) = -h**3 - 7*h**2 - 7*h - 4. Let t be q(-6). Suppose 20 = t*s - y, -4*s + 44 = -0*y - y. What is the remainder when 33 is divided by s?
9
Let h = -29 - -53. Suppose 0 = -z + 5*j + 94, -z - 10*j = -11*j - 74. What is the remainder when z is divided by h?
21
Let f = 55 + 27. Suppose -9*h + 314 = -253. Suppose z = 4*z - h. What is the remainder when f is divided by z?
19
Let t = 264 - 185. What is the remainder when t is divided by 5?
4
Let y(w) be the first derivative of -7 + 2*w**2 + 2/3*w**3 + 4*w. What is the remainder when 36 is divided by y(-3)?
6
Let r = 67 - 95. Let x = r + 42. Calculate the remainder when 39 is divided by x.
11
Let c be (-12)/(-3) + -3 - 0. Suppose -c = -4*d - 13, 0 = -k - 2*d + 80. What is the remainder when k is divided by 29?
28
Let u(z) = -z**3 + 10*z**2 + 2*z + 17. What is the remainder when 145 is divided by u(10)?
34
Calculate the remainder when 80 is divided by (-2)/((-6)/8 - 146/(-216)).
26
Let r(x) = 6*x - 15. Let s(y) = -y. Let i(v) = 2*r(v) - 6*s(v). Calculate the remainder when i(9) is divided by 35.
27
Let c(o) = -9*o + 3. Let y be 6868/(-119) - (1 + 5/(-7)). What is the remainder when 10/(-8) - 4/(-16) - y is divided by c(-3)?
27
Let o = 97 + -90. Let x(u) = -u**3 - 8*u**2 + 6*u + 6. Let t be x(-9). Let j = t - o. Calculate the remainder when 77 is divided by j.
25
Let b = 75 + -49. Calculate the remainder when (220/12)/((-9)/(-27)) + -4 is divided by b.
25
Let y(j) be the third derivative of -13*j**6/120 - j**5/60 - j**4/24 - 2*j**2. Let m be y(-1). Let f = m - 3. Calculate the remainder when 39 is divided by f.
9
Suppose -4*h + 3*h - 5*v = -128, -489 = -4*h + 3*v. Calculate the remainder when h is divided by 55.
13
Let g = -62 - -41. Calculate the remainder when -1*1*3*-1 is divided by (-2)/14 + 24*(-1)/g.
0
Suppose -12*u - 104 = -25*u. Calculate the remainder when 53 is divided by u.
5
Let y(l) = l**3 - 2*l**2 + 16*l - 22. Calculate the remainder when y(9) is divided by 23.
22
Let i(r) = 46*r + 1. Let s(h) = -183*h - 5. Let p(x) = 9*i(x) + 2*s(x). Let n(u) = 24*u**3 + u - 1. What is the remainder when p(1) is divided by n(1)?
23
Suppose v = 17 + 24. Suppose m + 18 = k - 3*m, -2*m - 54 = -5*k. Suppose 3*j + 77 = k*j. Calculate the remainder when v is divided by j.
8
Suppose i + 5460 = 5554. What is the remainder when 278 is divided by i?
90
Suppose 5*s + 5 = 0, -3 + 64 = z - 5*s. Let p(g) = -g**3 - 2*g**2 - 10*g - 24. What is the remainder when z is divided by p(-3)?
11
What is the remainder when 226 is divided by (-6 - -34)/1 - 5?
19
Let r be (-9)/(-3)*20/3. Suppose 0 = -g + 4 + r. What is the remainder when g is divided by 9?
6
Suppose -5*u + 4*n + 189 = 0, 48 + 120 = 4*u + n. Let r be (-99 + 1)*1/(-2). Let b = r - 35. Calculate the remainder when u is divided by b.
13
Suppose 3*p - 837 + 39 = 0. Calculate the remainder when p is divided by 18.
14
Let y(p) = -p + 67. Let h be y(-17). Suppose 37*w + h = 40*w. Calculate the remainder when 69 is divided by w.
13
Suppose 5*o - 375 = 8*s - 13*s, -3*s = -3*o - 195. Suppose 48 = -2*u + s. Suppose 4 = h - 5*n - 2, 5*n + 30 = 5*h. What is the remainder when u is divided by h?
5
Let c(x) = -17*x + 428. Calculate the remainder when 252 is divided by c(22).
36
Let f = -61 + 105. Let y = f + -21. Calculate the remainder when (-3762)/(-88) + (-2)/(-8) is divided by y.
20
Let x(f) = -3*f**3 - 6*f**2 + 10*f + 81. What is the remainder when x(-5) is divided by 66?
58
Let a = 7 + 55. What is the remainder when a is divided by 20?
2
Let n(t) be the third derivative of 5*t**4/24 - 5*t**3/3 + 11*t**2. What is the remainder when 38 is divided by n(4)?
8
Suppose -4*n + 2*n - 82 = 4*a, -5*a - 103 = 3*n. Let p be 1 + a + (-12)/4. Let h = 25 - p. What is the remainder when h is divided by 16?
15
Let m(g) = g**2 - g + 3. Let p be m(3). Let q(n) = 6*n + 3 - 4*n - 2 + 0*n. What is the remainder when q(p) is divided by 11?
8
Let v = -214 - -291. Calculate the remainder when 613 is divided by v.
74
Suppose 0 = 7*n - 15*n + 152. What is the remainder when 94 is divided by n?
18
Calculate the remainder when -325*(-10 + 470/50) is divided by 20.
15
Let a = -12 - -25. Suppose -5*y - 6*w = -5*w - 714, -5*w - 690 = -5*y. Calculate the remainder when y is divided by a.
12
Suppose 0 = 6*y - 250 - 8. Suppose -285 = -4*p + 215. Calculate the remainder when p is divided by y.
39
Let v be ((-1)/3 - -1) + (-604)/(-3). Suppose -4*u + v = 70. Calculate the remainder when u is divided by 7.
5
Let r = 2150 + -2118. Let l = -20 + 38. Calculate the remainder when r is divided by l.
14
Suppose -3*x + 0*d = -5*d - 104, 5*x - 5*d = 160. What is the remainder when 193 is divided by x?
25
Let c(w) = 3*w**2 + 5*w - 5. Let r = -5 + 5. Suppose r = 14*h + 48 - 216. Calculate the remainder when c(-5) is divided by h.
9
Suppose 22*p - 1584 = -6*p - 8*p. Suppose -3*f + 0*k = -2*k - 9, 0 = -2*f + 3*k + 6. Suppose f*t - 27 = -0. Calculate the remainder when p is divided by t.
8
Suppose -3*a + 45 = 4*x - 2*a, -4*a = -4. Calculate the remainder when 28 is divided by x.
6
Let x(g) = -g**2 + 16*g + 14. Let c = -2 - -17. Let m(f) = 2*f**3 - 5*f**2 + 3*f - 2. What is the remainder when x(c) is divided by m(3)?
13
Let n(x) = -3*x - 18. Let l be n(0). Calculate the remainder when 36 is divided by (-346)/l + (-6)/27.
17
Let o(d) = d**3 + 53*d**2 - 115*d + 28. Calculate the remainder when o(-55) is divided by 9.
6
Suppose -y = 3*k - 6*k + 139, -k + y = -47. What is the remainder when 178 is divided by k?
40
Let r = 763 + 202. What is the remainder when r is divided by 44?
41
Let w be (3 + -1 + -3)*(3 - 1). What is the remainder when (10/(-15))/(1/51*w) is divided by 6?
5
Suppose 0 = -119*i + 123*i - 172. Let w(q) = -q**2 - 3*q + 2. Let c be w(-3). Let j = c - -13. What is the remainder when i is divided by j?
13
Let s(l) = 16*l**3 - 8*l**2 + 9*l - 7. What is the remainder when s(2) is divided by 28?
23
Suppose -9*c - 8 = 28. What is the remainder when -4*(-2)/(c/(-131)) is divided by 53?
50
Suppose -7*i = -4*i. Suppose 0 = 5*k - i*k - 45. Calculate the remainder when (20/8)/((-1)/(-14)) is divided by k.
8
Let z be ((-9)/(-3))/((-6)/20). Let n be 4/(z/(-4) + -2). Suppose n*r = 10*r - 40. Calculate the remainder when 58 is divided by r.
18
Suppose -2*d + d = -22. What is the remainder when 90/120 - 1348/(-16) is divided by d?
19
Let h(o) = o + 11. Let i be h(-8). Suppose z + 68 = 117. Calculate the remainder when (-3 + z - i)*1 is divided by 22.
21
Suppose n = 4*k - n - 60, 4*k = 4*n + 56. Let t be (-22)/33 - (-10)/6. Calculate the remainder when (-15)/2*t*-4 is divided by k.
14
Suppose -4*t - 448 = 2*m, 2*m - 280 - 184 = 4*t. Let n = t + 125. Calculate the remainder when 84 is divided by n.
7
Suppose -g + 39 = 4*m, -4*g - 46*m = -42*m - 132. Calculate the remainder when 401 is divided by g.
29
Let r(h) = 2 + 93*h - 5 - 32*h - 4. Calculate the remainder when 375 is divided by r(1).
51
Suppose 16*h - 1270 = 1658. What is the remainder when h is divided by 70?
43
Let c = -383 + 534. What is the remainder when c is divided by 40?
31
Let r(n) = 6*n - 9. Let i be r(0). Let w(v) = v**2 + 8*v + 16. What is the remainder when w(i) is divided by 7?
4
Suppose 0*s - 3*s - 18 = 0. Let l be -2*-2*54/12. Let x = s + l. Calculate the remainder when x is divided by 8.
4
Suppose 0*z + z + 2 = 0, -32 = -d + z. Calculate the remainder when d is divided by 72/(-14)*7/(-2) - -1.
11
Suppose -4*p + 1071 = 5*r, -2*p + 29*r + 536 = 31*r. Calculate the remainder when