 Let j = k - 8. Calculate the remainder when p is divided by j.
1
Let p = -600 - -1078. What is the remainder when p is divided by 60?
58
Suppose -q = -2*f + 162, 4*f - 732 = -3*q - 448. Calculate the remainder when 1805 is divided by f.
34
Let z(b) = -12*b**2 + 2*b - 12. Let t be z(5). Let g = t - -383. What is the remainder when g is divided by 0/2 + 28 + 1?
23
Let y = -851 - -873. Let l be (144/54)/((-4)/(-6)). Suppose -3*w + 313 = 2*h, -2*w - h = l*h - 216. Calculate the remainder when w is divided by y.
15
Let v be 4*((-4)/(-18) + (-3086)/36). Let p = v + 222. Let x = p + 140. What is the remainder when 139 is divided by x?
19
Suppose 11 = 3*d - k, k - 10 = -2*d + 3*k. Suppose 0 = -c, 0 = 3*b + 2*b + 5*c - 40. Calculate the remainder when b is divided by ((-9)/d)/(3/(-3)).
2
Let f = 16731 + -16393. Calculate the remainder when 2038 is divided by f.
10
Let z(t) = 8*t - 35. Let k(y) = y**3 + 6*y**2 + 4*y - 1. Let r be k(-2). Let w(p) = -5*p + 49. Calculate the remainder when w(-19) is divided by z(r).
18
Let t = 12668 + -7919. Calculate the remainder when t is divided by 9.
6
Calculate the remainder when 4/(2 - 0) + 602/1 is divided by 119.
9
Let w = 215 - 217. What is the remainder when (-20145)/(-60) + w + 27/12 is divided by 13?
11
Suppose 56*u = 59*u - 462. Suppose 0 = -7*t + 105 + u. Calculate the remainder when 51 is divided by t.
14
Let m(d) = 14*d**2 + 2*d - 1. Suppose -989 = -47*j - 214 + 682. What is the remainder when m(-4) is divided by j?
29
Let f(x) = -18*x**2 - 2*x + 8. Let o(b) = 18*b**2 - 9. Let d(y) = -3*f(y) - 2*o(y). What is the remainder when 48 is divided by d(1)?
12
Let c = 64 + -24. What is the remainder when 152 is divided by c?
32
Let h(g) = 25*g**3 - g**2 + g - 2. Suppose 676*s - 35674 = -1510*s + 182926. Calculate the remainder when h(2) is divided by s.
96
Let n = 1425 - 368. Suppose -2*l + n = -0*l + 3*d, -1618 = -3*l + 2*d. Suppose -3*z + l = 5. What is the remainder when z is divided by 60?
57
Suppose 0*r - 6*r = -139674. Calculate the remainder when r is divided by 15.
14
Suppose 117*s + 435 = 11784. Let j(a) = -3*a - 2. What is the remainder when s is divided by j(-8)?
9
Let t(l) = 3785*l + 29. What is the remainder when t(5) is divided by 85?
84
Let l(k) = 20*k**2 - 167*k + 519. What is the remainder when l(3) is divided by 62?
12
Let m = 6014 - 3143. Suppose -21*n + m = -10*n. Calculate the remainder when n is divided by 66.
63
Let c(u) = 4*u**2 + 71*u + 67. What is the remainder when 318 is divided by c(-17)?
14
Suppose 159*s - 158*s + 4*z = 241, -5*s - 3*z = -1154. Calculate the remainder when s is divided by 43.
14
Let h = 22 - -114. Let n = h + -114. Calculate the remainder when 57 is divided by n.
13
Let m(h) = -h**3 + 2*h**2 - 3*h + 9. Let b be m(2). What is the remainder when 28 + -2 + b + 5 is divided by 5?
4
Let j be -781 + (-8 - -7 - 2). Let p = 1636 + j. What is the remainder when p is divided by 95?
92
Suppose 218*q - 162*q - 4088 = 0. Calculate the remainder when 255 is divided by q.
36
What is the remainder when ((-404)/12)/((-5)/129) - 33/55 is divided by 7?
0
Let z(h) = -h**3 - 16*h**2 - h + 2. Let r be z(-16). Suppose -2 = 4*x + r. What is the remainder when -5*(-4 + 28/x) is divided by 25?
23
Let x(q) = -q**3 + 24*q**2 - 43*q - 20. Let o be x(22). Suppose 0 = -3*a + 7*a + 5*u - 65, 2*a - 28 = o*u. What is the remainder when 23 is divided by a?
8
Let h be (-6 - (-28)/8 - -2) + (-568)/16. Let m(y) = 139*y**3 - y**2 + y + 1. Let l be m(-1). Calculate the remainder when l/6*h/12 is divided by 8.
6
Let n(f) = 2*f**2 - 58*f + 324. Let o(x) = x**2 + 7*x - 3. What is the remainder when n(22) is divided by o(-8)?
1
Let w(v) = 6*v - 12. Let y = 70 - 114. Let q = y - -50. Calculate the remainder when 93 is divided by w(q).
21
Calculate the remainder when 6*13/(-13) + 3040 is divided by 46.
44
Suppose o = -3*m + 6, -m = -3*m - 8. Suppose o*d - 1529 + 35 = 0. What is the remainder when d is divided by 4?
3
Let a(w) = -6*w - 17*w - 3*w**2 + 5*w**2 + 6*w + 14. Suppose -5*n + 65 = 8*v - 11*v, -4*n + 2*v + 50 = 0. Calculate the remainder when 128 is divided by a(n).
40
Suppose -8060 = -36*s - 16*s. What is the remainder when s is divided by 21*(357/49 - 7)?
5
Let u(h) = -55*h + 10. Let m(n) = 112*n - 20. Let g(s) = 6*m(s) + 13*u(s). Calculate the remainder when g(-3) is divided by 35.
34
Let w = -18 + 137. Suppose 5*l - 674 + w = 0. Let y = 61 + -33. What is the remainder when l is divided by y?
27
Calculate the remainder when 1427 is divided by ((-535)/(-20) + -17)/((-6)/(-80)).
127
Calculate the remainder when 830 is divided by (60 + -61)/((2/(-293))/2).
244
Suppose -4*u - 4 = 0, -u - 691 = -11*f + 14*f. Let r = -166 - f. Calculate the remainder when 318 is divided by r.
62
Let l = -352 + 616. Suppose 4*k - l = -2*p, 0 = -p - 4. Let q = -52 + k. Calculate the remainder when q is divided by 2.
0
Suppose -d + 39 = 7. Suppose d*l - 216 = 24*l. What is the remainder when 42 is divided by l?
15
Suppose 7*w - 7 = 14. Suppose -2*t + 102 = -0*t + 3*o, 5*t + w*o = 237. What is the remainder when 85 is divided by t?
40
Let z = 472 - 454. What is the remainder when 22 is divided by z + (-46)/9 + (-6)/(-54)?
9
Let v = 273 + -275. Let d(c) = -c + 13. What is the remainder when 46*(1 - v)/6 is divided by d(0)?
10
Suppose 22*b = 3*h - 33068, -h + 9272 = -b - 1700. What is the remainder when h is divided by 11?
8
Let u = 23 + -17. What is the remainder when u is divided by (27/(-45)*-2)/((-4)/(-10))?
0
Suppose 1095 = 6*o - 1317. Suppose 6*s - o = -120. Let u = 42 - 25. What is the remainder when s is divided by u?
13
Suppose -k + 10 = 12. Suppose 95 = 5*f - 5*y, 0*f + f + 2*y - 4 = 0. What is the remainder when f is divided by k*(315/(-10))/7?
5
Calculate the remainder when (-22599)/(-18) + (-99)/(-18) is divided by 23.
19
Let r(g) = -26*g + 285. Let d be r(10). Let w = d + 187. Calculate the remainder when w is divided by 40.
12
Let a = 1275 - -484. Suppose 0 = 48*q - a - 7601. Calculate the remainder when q is divided by 4.
3
Let o(a) = -a**3 - a**2 - 2*a + 13. Let g(y) = y**3 - 3*y**2 + 4. Let u be g(3). Let z be ((u + -4)/3)/2. What is the remainder when 42 is divided by o(z)?
3
Suppose 4*s + 120 = 28*s. Suppose 5*v + 57 = 2*z, -s*v + 126 = 5*z - v. Let d(o) = o - 7. What is the remainder when z is divided by d(12)?
1
Let r(p) = -p**2 + 11*p + 114. Let b be r(-7). Let y(f) = -5*f + 46. Calculate the remainder when y(b) is divided by 18.
16
Suppose -111*q + 1483 = -29*q - 3109. Let g(c) = -45*c - 5. Calculate the remainder when g(-5) is divided by q.
52
Let d = 2802 + -2738. Let s be 2*((-28)/(-8) + -3). Suppose -q = -5*m - s, -3*m + 2*m - 17 = -3*q. Calculate the remainder when d is divided by q.
4
Suppose 506*m - 3337 - 3102 = 2163. What is the remainder when 1750 is divided by m?
16
Let z = 81 - -36. Suppose 0 = 3*c + 4*h - 890, 5*h - 187 = -c + z. Suppose 5*m - 10 = 0, 8*m = 4*x + 7*m - c. What is the remainder when x is divided by 16?
10
Let j be (324/126)/(36/(-21) + 2). Suppose -819 = -5*u + 4*p, -6*p = -5*u - j*p + 812. Calculate the remainder when u is divided by 14.
9
Let z be (4 - -1)*172/10. Let t be (-1)/(-8) + (-16)/(512/132) - -29. Let s = z + t. What is the remainder when s is divided by 23?
19
Suppose -139 = -2*n + 3*r, 5*r = -n + 69 - 6. Calculate the remainder when 71 is divided by n.
3
Suppose 18 = 36*t - 34*t. Let a be t + -14 + 17*8. Suppose -4*b + 8*b - 108 = -4*i, 0 = -5*i - 3*b + a. Calculate the remainder when i is divided by 16.
9
Let a = 80 + -40. Let h(j) = 161*j + 1564. What is the remainder when h(-9) is divided by a?
35
Let h = 46308 - 44599. Calculate the remainder when h is divided by 90.
89
Let q = 2000 + -1724. What is the remainder when 581 is divided by q?
29
Suppose -n + 71 = -2*g, -g = 3*g + n + 139. Let a be (-2)/(-5) + -1 - (-14)/g. What is the remainder when 45 is divided by 2*a/(-4)*46?
22
Let w(g) = -56*g - 163. What is the remainder when 459 is divided by w(-5)?
108
Suppose 131*n - 5686 = 78. What is the remainder when n is divided by 5?
4
Suppose 597 = 3*n - 0*n. Let p = 297 - n. What is the remainder when p is divided by 9/(-6)*22/(-3)?
10
Suppose 160 = 3*o + r, -4*r - 261 = 16*o - 21*o. Suppose 4*i + 2*q = -3*q + 596, -2*q = 5*i - 762. Calculate the remainder wh