ulate the remainder when 68 is divided by j.
12
Suppose -135 = 95*y - 895. Suppose 0*v + 4*v = 16. Calculate the remainder when y is divided by v.
0
Let o = 97 - -29. Let d = -115 + o. What is the remainder when 74 is divided by d?
8
What is the remainder when 20 is divided by -5*(-6 + 87/15)?
0
Let b be (0 + (-1 - 3))/(-4). Calculate the remainder when 43 is divided by (115/(-10))/b*-2.
20
Let x(t) = 6*t**2 + 34*t - 216. Calculate the remainder when x(6) is divided by 8.
4
Let i(x) = x**2 + 15*x + 6. Let o(g) = g**3 - 12*g**2 - g - 5. Let f be o(12). What is the remainder when i(f) is divided by 6?
4
Suppose 1045 + 645 = 5*t. Calculate the remainder when t is divided by 113.
112
Let s = -992 + 1010. What is the remainder when 1906 is divided by s?
16
Let t be -11 + -3 + 5 - -3. Suppose 0*x = 4*x + p + 38, -42 = 5*x + 4*p. What is the remainder when 45/t*x/1 is divided by 13?
10
Suppose i - 6*i = -35. Let q(m) = -m**3 + 27*m**2 - 152*m + 38. Calculate the remainder when q(19) is divided by i.
3
Let y = 638 + -571. What is the remainder when y is divided by 4?
3
Let f(w) = 21*w - 48. What is the remainder when f(4) is divided by 10?
6
Suppose 5*j - 95 = 73*n - 76*n, -3*n = -3*j - 63. Calculate the remainder when n is divided by ((-2)/3)/((-4)/42).
4
Let v = -1102 - -1113. Calculate the remainder when 53 is divided by v.
9
Suppose -2*l - 12 = -4*g + 6, 2*g = 2*l + 4. Let m = 0 - -9. Suppose 0 = -4*z + 25 - m. Calculate the remainder when g is divided by z.
3
Suppose 0 = -4*l - 325*n + 329*n + 696, -3*n - 698 = -4*l. Calculate the remainder when 182 is divided by l.
6
Let r(n) = -n**2 - 10*n + 8. Let m be r(-12). What is the remainder when (-2)/(m/(-6)) + (-2108)/(-16) is divided by 44?
43
Suppose 3*g - g + 160 = 5*n, 4*n = -4*g + 156. Calculate the remainder when n is divided by ((-42)/(-35))/((-2)/(-20)).
10
Let t = 147 - 103. What is the remainder when 215 is divided by t?
39
Suppose 19 = 2*w + 9. Suppose -5*q + 10*q = 90. Suppose 4*r - r = q. Calculate the remainder when r is divided by w.
1
Let z be (-2)/(-3) + 368/24. Calculate the remainder when 6 is divided by 12/54 - z/(-9).
0
Let r(h) = -104*h**2 - 2*h + 1. Let x(u) = -69*u**2 - u + 1. Let a(w) = 5*r(w) - 8*x(w). What is the remainder when 123 is divided by a(-1)?
30
Calculate the remainder when (-14)/4 - 27621/(-162) is divided by 24.
23
Let c(q) = -3*q**2 + 3*q - 3. Let y be c(3). Let f = 7 - y. Suppose 2*v - 40 = -2*v. What is the remainder when f is divided by v?
8
Suppose -9*s = -6*s - 732. Suppose -1288*l - 130 = -1298*l. Calculate the remainder when s is divided by l.
10
Suppose -3*l - 2 = -5. Let h(r) = -21*r - 1. Let a(z) = 20*z + 2. Let s(q) = -2*a(q) - 3*h(q). What is the remainder when s(l) is divided by 8?
6
Suppose -4*o - o = 0. Suppose 0*a - 5*a + 15 = o. Suppose a*c - 62 = -4*q, -3*c - q - q = -58. Calculate the remainder when 35 is divided by c.
17
Let w(t) = -t**3 + 16*t**2 - 65*t + 51. What is the remainder when 428 is divided by w(8)?
41
Suppose -2*p - 2*t = -154, 12*p - 7*p - t - 373 = 0. What is the remainder when 146 is divided by p?
71
Let r(n) = n**2 - 8*n - 6. Let c be r(9). Suppose -5*t - 4*i = -44, t + 24 = 2*t - c*i. Calculate the remainder when 19 is divided by t.
7
Let q = -1369 - -1384. Calculate the remainder when q is divided by (-2 + -10)*4/(-6).
7
Calculate the remainder when ((-2)/(-4))/((-2)/(-32)) is divided by 5.
3
Let b = 342 + -321. Calculate the remainder when 228 is divided by b.
18
Let r(p) = -3*p - 7. Let n be r(-3). Suppose -n*y + 14 = -2*l - 42, -3*y + 100 = l. What is the remainder when y is divided by 17?
15
Suppose 5 = 5*i, -5*i + 315 = x + 4*x. Calculate the remainder when x is divided by 16.
14
Let c = -298 - -395. Calculate the remainder when c is divided by 11.
9
Let h(g) = -10*g + 7. What is the remainder when h(-7) is divided by (2 + 72/9)/1?
7
Suppose 2*i - 4*s = 188, -281 = -5*i + 4*s + 165. Calculate the remainder when i is divided by 27.
5
Let d(j) = j**3 + 16*j**2 - 16*j - 21. Let v be d(-17). Let s = v + 80. Suppose -70 + 10 = -4*h. Calculate the remainder when s is divided by h.
12
Suppose 5*r - 8 = -2*a, -6*r = -r + 5*a - 5. Suppose 0 = 4*l - 42 - 34. What is the remainder when 74 - (-1 + -1 + r) is divided by l?
17
Let s = 2445 + -2322. What is the remainder when 606 is divided by s?
114
Let t(g) = 10*g**2 - g - 1. Let o be t(-1). Let r(s) = -s**2 + 12*s - 14. Let u be r(o). What is the remainder when ((-92)/u)/(8/(-24)) is divided by 24?
22
Let j(p) = 30*p**2 - 5*p + 2. Let l be j(-4). Suppose 0 = 3*b - i + 2*i - 302, -5*b - 3*i = -l. What is the remainder when b is divided by 27?
20
Let a = 17 + -26. Let c = a - -14. Suppose -r - 16 = -2*v + 2*r, -c*v - 3*r + 61 = 0. What is the remainder when 29 is divided by v?
7
Suppose o = 4*k - 309, 3*k + 57*o - 62*o - 253 = 0. Calculate the remainder when k is divided by 20.
16
Suppose 24 = 3*o - 2*j, o - 3*o = 3*j - 16. Let y be ((-46)/(-3))/((-26)/39). Let n = y + 43. Calculate the remainder when n is divided by o.
4
Let k(b) be the first derivative of b**2 - 4*b + 1. What is the remainder when 15 is divided by k(4)?
3
Suppose -g + 4*d = 7*d - 59, 4*d = 3*g - 203. What is the remainder when 1427 is divided by g?
62
Suppose h + 357 = 3*v - 109, -4*v - 5*h = -634. What is the remainder when v is divided by 36?
12
Suppose -3*z + 2 = -2*i - 7, -i + 23 = 4*z. What is the remainder when 292 is divided by z?
2
Let t(r) = -r**2 - 12*r + 77. Calculate the remainder when 54 is divided by t(-15).
22
Let l(o) = o**2 + 23*o + 24. Let f be l(-23). Suppose -14*x = -18*x + f. What is the remainder when 51 is divided by x?
3
Suppose -3*y - 2*l + 294 = 0, 602 - 214 = 4*y + 4*l. Suppose 17*h - 22*h + y = 0. Calculate the remainder when 78 is divided by h.
18
Let t(c) = -c**3 + 24*c**2 + 30*c - 62. What is the remainder when 754 is divided by t(25)?
61
Let v = -17 - -21. Suppose 3*h - 169 = v*q, -2*q = -1 - 3. Calculate the remainder when h is divided by 15.
14
Suppose -2*l + 110 = 30. Suppose 2*z = -1360 + 1382. Calculate the remainder when l is divided by z.
7
Suppose -3*x - 24 = 4*y - 180, 3*y - 104 = -2*x. What is the remainder when 132 is divided by x?
28
Let z = -5 - -9. Suppose -5*t - z = -154. Calculate the remainder when 89 is divided by t.
29
Let f = -40 - -40. What is the remainder when (f - 1 - 1)*-17 is divided by 12?
10
Let k = 1087 - 475. What is the remainder when k is divided by 56?
52
Suppose 4*g - 63 = g. Let m = g + -13. Suppose 0 = -2*z - 7 + 37. Calculate the remainder when z is divided by m.
7
Suppose v - 4*i = 2, 4*i = -3*v - 1 - 9. Let o be ((-2)/4 - v)*2. Calculate the remainder when 6 is divided by (4 - o)/(2/8).
2
Suppose 0 = -7*v + 9*v + 10. Let g = 9 + v. Suppose -2*q + 0 + g = 0. What is the remainder when 5 is divided by q?
1
Suppose 151 = -5*m + c + 430, -3*m = 4*c - 172. Suppose 4 = 4*w - m. What is the remainder when 42 is divided by w?
12
Suppose 59*l = 12*l + 4*l + 1161. Suppose 2*p - 103 = p. What is the remainder when p is divided by l?
22
Let w(r) = r**3 + 5*r**2 + 2*r + 5. Let z be w(-5). Let g = z - -7. Suppose a + 28 = q, -2*q + 2*a = g*q - 106. What is the remainder when q is divided by 14?
11
Let c(h) = -h**3 - 2*h**2 + 6*h + 21. Calculate the remainder when 38 is divided by c(-3).
2
Let z = 553 - 521. Calculate the remainder when z is divided by 19.
13
Let j(r) be the second derivative of -r**3/6 + 21*r**2/2 - 5*r. What is the remainder when j(-9) is divided by 16?
14
Let h(b) = b + 32. Let k be h(-24). Suppose -3*m + 4 = 2*r + 3*r, -2*r + 2*m = -k. Let q(v) = -v - 3. Calculate the remainder when q(-6) is divided by r.
1
Suppose -4*h - 5*t - 577 = 0, -26 = 4*t - 6. Let m = -72 - h. Calculate the remainder when m is divided by 34.
32
Suppose 8 = x + 3. Suppose -24 = -h - x*h. Suppose h*m - 50 = -0*m - 2*z, m - 2*z - 10 = 0. Calculate the remainder when m is divided by 7.
5
Suppose 225 = 6*w - 3*w. Calculate the remainder when w is divided by 21.
12
Suppose 0 = -4*n + 3*n + 31. Suppose w - 9 = g, -3*g - n = -w - 6. What is the remainder when 15 is divided by 2/(g/4)*-6?
3
Let o(t) = 76*t + 3. What is the remainder when 311 is divided by o(1)?
74
Suppose -v = -5*a - 189, 3*a + 3*v - 19 = -136. Let k = a + 70. Suppose -2*q = -z - 73, z = -q - 0*z + k. 