inder when (-45)/(-2) + 5/w is divided by 5.
3
Let g = -120 - -118. Suppose 30 = 4*c - 10. Let o = c + g. Calculate the remainder when 22 is divided by o.
6
Suppose 0 = 3*m - 4*j + 7*j - 1359, 5*m + 2*j - 2274 = 0. Calculate the remainder when m is divided by 115.
111
Suppose 5*c - 236 = 4*l, -4*c + 0*l = 3*l - 164. What is the remainder when c is divided by 6?
2
Calculate the remainder when 13 is divided by (3/12)/(1/28).
6
Calculate the remainder when (67/(-268))/((-2)/6976) is divided by 25.
22
Let x = 1043 + -972. What is the remainder when x is divided by 12?
11
Suppose -77 + 13 = -8*v. Calculate the remainder when 39 is divided by v.
7
Let u be 501/(-12) + 3/(-12). Let t = u - -47. What is the remainder when t is divided by 3?
2
Suppose 3*x + 197 = k, 3*x + 257 - 85 = -4*k. Let f = 97 + x. Calculate the remainder when f is divided by 7.
5
Let t be (0 - (2 - 4)) + -1. Let r = t + 11. Let p = -66 + 71. Calculate the remainder when r is divided by p.
2
Let z(g) = 25*g - 9. Let y(q) = q**3 + 4*q**2. Let w be y(-3). Let l be z(w). Suppose -2*n + l = n. Calculate the remainder when n is divided by 25.
22
Suppose 46*m = 29*m + 884. What is the remainder when 464 is divided by m?
48
Suppose 2*g - 1 = g. Suppose -3*p + g = 5*m - 0*p, 4*m - 2*p = 14. Let n = -5 - -9. What is the remainder when n is divided by m?
0
Let y = 963 - 911. Calculate the remainder when 203 is divided by y.
47
Let g(w) be the first derivative of -5*w**2/2 + 2. Let d be g(-1). Suppose 2*y = d*y - 36. Calculate the remainder when 47 is divided by y.
11
Let k(a) = 4*a**2 - 3*a - 5. Let z(y) = y**3 - 36*y**2 - y + 68. What is the remainder when z(36) is divided by k(-2)?
15
Let o = 126 + 75. Calculate the remainder when o is divided by 71.
59
Suppose -2*w + 4*w = 5*c + 129, -2*w - c = -147. Calculate the remainder when 574 is divided by w.
70
Suppose 0 = -3*g + 97 + 71. Calculate the remainder when 222 is divided by g.
54
Let g(a) = -32*a + 98. What is the remainder when g(-6) is divided by 3?
2
Suppose 25 = -6*y + 157. What is the remainder when y is divided by 6?
4
Let d be 0 + 4/16 - 143/(-4). Let i = d - 31. Calculate the remainder when 12 is divided by i.
2
Let d = 62 + -5. Let r(o) = o - 11. Let x be r(17). Suppose -x*n + 84 = n. What is the remainder when d is divided by n?
9
Let r be (-3)/((-6)/(-4)) + 30. What is the remainder when r*(2/4 - -1) is divided by 130/12 + (-172)/(-24) + -7?
9
Suppose 2*l = -28 + 88. What is the remainder when 178 is divided by l?
28
Suppose 5*u - 275 - 5 = -5*t, -u = -2. What is the remainder when 99 is divided by t?
45
Suppose 0 = -5*l + 12 - 22, 3*l = 4*x - 614. Calculate the remainder when x is divided by 14.
12
Let u = 102 + -64. Let b(i) = -i - 13. Let s be b(12). Let r = s + u. Calculate the remainder when 37 is divided by r.
11
Suppose 4*d = 3*y - 74, d - 5*d + 58 = 3*y. Let a = y + -8. Let i = 16 - 11. What is the remainder when a is divided by i?
4
Let g(r) be the third derivative of r**4/12 - 11*r**3/6 - 7*r**2. Calculate the remainder when g(12) is divided by 3.
1
Suppose -61 = -4*u - 9. What is the remainder when 142 is divided by u?
12
Let q(x) = x**3 + 5*x**2 - 6*x + 2. Let o be q(-6). Suppose -33 = -k - o. Let y(l) = l**3 - 6*l**2 + 3*l - 2. Calculate the remainder when k is divided by y(6).
15
Let h(d) = d**2 + 3*d + 4. Let y be h(-3). Suppose -i + 17 = 5*s, -y*i - 4*s = i - 22. What is the remainder when (-3 - -4)*(10 + 1 - 2) is divided by i?
1
Suppose 0 = -23*p + 18*p + 20. What is the remainder when (11/(-2) - -6) + 182/p is divided by 12?
10
Suppose 16*h = 17*h - 6. Let u(q) = -q - 10. Let z(v) = 2*v + 21. Let i(g) = -5*u(g) - 2*z(g). Calculate the remainder when 39 is divided by i(h).
11
Suppose 14*n = -9*n + 5244. Calculate the remainder when n is divided by 70.
18
Let l be 28/(-126) + (-310)/(-18). Calculate the remainder when 1241/l + (-10)/2 is divided by 18.
14
Let n = 4 + -5. What is the remainder when (-24)/12 + 21 + n is divided by 10?
8
Suppose 2*j = 2*h + 22 - 0, -2*j - 4*h = -28. Let i = j - 3. Suppose -5*g + 61 + i = 0. What is the remainder when g is divided by 3?
2
Let s(w) = 3*w**2 - 103*w - 30. What is the remainder when 357 is divided by s(35)?
37
Let x(o) = o**2 - 6*o - 24. Let y be x(-4). Suppose -6*h - 450 = -y*h. Calculate the remainder when h is divided by (16/(-6))/(1/(-6)).
13
Let j be 2/(3 - 25/10). Suppose -5*w = 2*q - 127, -2*q + j*q = -2*w + 112. Calculate the remainder when q is divided by 9.
6
Let q(d) = -d**2 + 15*d + 4. Let y be q(13). Suppose 0 = 2*l + 4*h - y, -4*l - 5*h + 74 = -4*h. What is the remainder when 75 is divided by l?
18
What is the remainder when 2/(-3)*23034/(-44) is divided by 25?
24
Let n be 8/(40/(-15)) - 133. Calculate the remainder when (18/(-12))/(6/n) is divided by 7.
6
Suppose b - 535 = 133. Calculate the remainder when 6/36 - b/(-24) is divided by 10.
8
Suppose 2*h - 11 - 11 = -2*q, 5*h - 5*q - 55 = 0. What is the remainder when 32 is divided by h?
10
Suppose 5*q = -20, -15*q + 13*q + 30 = 2*k. What is the remainder when 74 is divided by k?
17
Suppose 2*c + 42 = -i, -c + 79 = -0*i - 2*i. What is the remainder when 95 is divided by 3 + (25/5 - i)?
47
Let z = 13 + -16. What is the remainder when 43 + z*2/3 is divided by 14?
13
Let i(x) = -97*x + 2. Let n be i(-1). Suppose 0 = 3*r - 6*r + n. Let d = r + -19. Calculate the remainder when 53 is divided by d.
11
Suppose m - 4 = g, 4*m - 8*m + 5*g = -20. Suppose 0*f + 2*f - 54 = m. Calculate the remainder when 103 is divided by f.
22
Let w be 27/(-18)*(-10)/3. Suppose 3 = w*a - 12. Suppose -5*k + t = -251, 0 = 3*k - 8*k - a*t + 267. What is the remainder when k is divided by 13?
12
Let q(g) = 7*g + 8. What is the remainder when q(3) is divided by 17?
12
Suppose 4*v - 11*v = -1337. Calculate the remainder when v is divided by 28.
23
Suppose 3*k + 6 = 0, 7*k - 38 = -3*i + 2*k. Let j(q) = -q**3 + 7*q**2 + 16*q + 29. What is the remainder when i is divided by j(9)?
5
Let s(u) = -u**3 + 9*u**2 - 8*u + 5. Let b be s(7). Suppose -136 = 46*l - b*l. Let r = -64 + l. Calculate the remainder when r is divided by 15.
12
Suppose -176 + 44 = -11*r. Calculate the remainder when 44 is divided by r.
8
Let j(z) = -19*z - 1. Let f = -62 + 62. Let p(x) = x**2 - 2*x + 33. Calculate the remainder when p(f) is divided by j(-1).
15
Suppose -14*t + 15*t - 6 = 0. Suppose -t = -3*y - 0. Let f(a) = 3*a - 1. What is the remainder when 9 is divided by f(y)?
4
Let q(h) = -185*h + 22. Calculate the remainder when 42 is divided by q(0).
20
Let u be 12/8 - 2/4. Let r = u - -10. Let w = r + 20. What is the remainder when w is divided by 16?
15
Suppose -2*q + 10 = 0, -5*h + 17 = q - 3. Suppose -5*k = t - 29, -23 = -3*k - h*t + t. What is the remainder when 7 is divided by k?
2
Let f(k) = k + 6. Let w be f(8). Let j = -25 + w. Let q = j + 14. What is the remainder when 4 is divided by q?
1
Suppose -7*l = -6 - 64. Let k(m) = 5*m + 10. Let h(d) = -2*d - 3. Let y(s) = -8*h(s) - 3*k(s). Calculate the remainder when 9 is divided by y(l).
1
Suppose -q = k - 0*k - 29, 2*q + k = 57. Let x = 65 - q. Let y(n) = 2*n**2 - 6*n + 2. What is the remainder when x is divided by y(4)?
7
Suppose -y + 6*y + 2*m + 28 = 0, 0 = -2*y - 2*m - 10. Let z = y - -15. Suppose -5*j + 0*j = -25. What is the remainder when z is divided by j?
4
Let h(i) = i**3 - 5*i**2 + 2*i - 4. Suppose 13*w - 108 = w. What is the remainder when w is divided by h(5)?
3
Let n(d) = -2*d**2 - 35*d + 1. Calculate the remainder when n(-11) is divided by 29.
28
Let d(s) = -s**3 - 5*s**2 + 10*s - 8. Let w(b) = 4*b + 13. Let i be w(-5). What is the remainder when 74 is divided by d(i)?
14
Let j be -1*23 + (-5)/10*6. Let o = j - -47. Calculate the remainder when (-2)/2 + -2 + 84 is divided by o.
18
Let o = -227 + 249. What is the remainder when o is divided by 13?
9
Suppose -3*p + 4*v + 11 = -2*p, -5 = -p + v. Suppose 5*g - 34 = -l, -g + 18 = -p*l + 6*l. Calculate the remainder when g is divided by 5.
1
Let m(s) = 3*s**3 - 3*s + 3. Let l be m(2). Suppose a - l = -2*a. Let u(d) = 3*d + 7. Calculate the remainder when u(6) is divided by a.
4
Suppose f - 23 = 2*w + 8, -f = 3*w - 11. Let i = -11 + f. Suppose -14 = m - 3*m + 3*d, 4*m + 5*d = 6. What is the remainder when i is divided by m?
0
Let c = 198 - 100. Su