 8. Suppose 40 - 5 = 5*i. Calculate the remainder when i is divided by r.
3
Suppose 0 = -2*f - 5*u + 73, 2*f + 3*u = -2*f + 111. Let v(s) = s**2 - 9*s - 4. Let a be v(7). What is the remainder when f is divided by 4/a - 238/(-18)?
11
Suppose -c - 42 = 2*t + 33, -2*t - 4*c = 90. Suppose -3*q + 1 = 7. Calculate the remainder when 32 is divided by t/(-2) + 1/q.
15
Suppose n - 58 = -2*d, -3*d + 314 = 5*n - 5*d. Calculate the remainder when n is divided by 16.
14
Suppose -20 = 2*z - 6*z. Suppose -v = -z*m + 316, -4*v + 3*v + 62 = m. Calculate the remainder when m is divided by 16.
15
Let h = 3 - -4. Suppose m = q + 3, -h*m + 12 = -3*m - 2*q. Calculate the remainder when 7 is divided by m.
1
Suppose -66 = -5*q + 139. Calculate the remainder when q is divided by 15.
11
Let z = 20 - 22. Calculate the remainder when 31 is divided by 4/(-2 + z)*-11.
9
Let n = -9 - -12. Suppose 3*g = -5*q - 19, 6 + 3 = -n*g - 3*q. Calculate the remainder when 5 is divided by g.
1
Suppose -3*w + 2*p + p + 24 = 0, -w - 2*p = -5. Suppose 2*o + k - 5*k = 28, -3*k = -o + 9. What is the remainder when o/18*(15 - 0) is divided by w?
6
Suppose -87 = -w + 78. Let r = -114 + w. Suppose 5*b = -4*a + r + 26, a = -4*b + 22. Calculate the remainder when 53 is divided by a.
17
Let p = 73 + -54. What is the remainder when p is divided by 10?
9
Let x be 112/60 - 4/(-30). Suppose -x*r + 19 = -r. Calculate the remainder when 73 is divided by r.
16
Let q = 6 + -4. Suppose -5*r - 6 = c - 49, r = -3*c + 3. Calculate the remainder when r is divided by q.
1
Suppose -i - 3 = 5*s, 4*i + 9 = i - 2*s. What is the remainder when -1 + (0 - -2 - i) is divided by 2?
0
Let w(p) = p**2 - 2*p + 15. Let a be w(0). Let s = a + -10. What is the remainder when 19 is divided by s?
4
Let j(x) = x + 10. Let k(b) = -b - 5. Let p(n) = 3*j(n) + 5*k(n). Calculate the remainder when p(-9) is divided by (-186)/(-15) + (-2)/5.
11
Let k(t) = 12*t**3 - 2*t**2 + 2*t - 1. Suppose -4*u = -2*f - 18, 4*f - 9 = -u - 0. What is the remainder when 20 is divided by k(f)?
9
Suppose -792 = -0*n - 12*n. Let k = 47 + -24. What is the remainder when n is divided by k?
20
Let s = 6 + -2. Suppose -s*o + 31 = -21. What is the remainder when (1 - 2)*(-74)/2 is divided by o?
11
Let n(t) be the second derivative of t**4/6 + t**3/3 + 3*t**2/2 + 2*t. Calculate the remainder when 19 is divided by n(-2).
5
Suppose 0 = 2*v + 5*g - 20, 4*v - 4*g = -v + 83. Suppose -v = -2*c + 21. What is the remainder when c is divided by 10?
8
Suppose 30 + 44 = -4*t + 2*d, 4*t + 4*d = -104. Calculate the remainder when 19 is divided by (-204)/t - 4/(-14).
9
Suppose n - 17 = 1. Let s(b) = 5*b + 14. Calculate the remainder when s(4) is divided by n.
16
Suppose 1 - 57 = -4*w. Let j = -14 + 83. What is the remainder when j is divided by w?
13
Suppose -3*d = -3*m + 18, -6 = -2*d - d. Let x(z) = z**3 + 5*z**2 - 5*z + 4. What is the remainder when x(-5) is divided by m?
5
Suppose 5*l - 10 = 10. Suppose c - 10 + l = 0. What is the remainder when 10 is divided by c?
4
Suppose -4*w + 46 = 2*i - 6*w, 0 = -i - 4*w + 18. What is the remainder when 85 is divided by i?
19
Suppose 8*x - 5*x = 24. Suppose 5*a = -3 + x. Calculate the remainder when a is divided by 1.
0
Suppose -4*k = -28 + 8. Suppose -k*m + 15 = -3*c - 194, 182 = 4*m + 5*c. What is the remainder when m is divided by 15?
13
Let s(j) = 3*j - 1. Let d be s(1). Suppose -z = d*z - 78. What is the remainder when z is divided by 14?
12
Let a(w) = w**3 + 4*w**2 + 4*w + 3. Let y = 4 + -7. Let n be a(y). Suppose n = -3*k - k + 140. Calculate the remainder when k is divided by 12.
11
Suppose -2 = -2*u + 8. Let r = 23 - 13. Suppose 3*a - r = -1. Calculate the remainder when u is divided by a.
2
Let y(l) = -l**2 - l. Let v be y(-2). Let j(u) = -u**3 - 2*u**2 - u + 1. Calculate the remainder when j(v) is divided by 1.
0
Let x be (-64)/(-34) - 6/(-51). Suppose 3*g + c - 2*c - 96 = 0, -5*c = -x*g + 77. What is the remainder when g is divided by 17?
14
Let f(d) = -6 - 5*d + 5*d + d**2. Calculate the remainder when f(-6) is divided by 8.
6
Let o be 322/10 + (-2)/10. Let q = o - 16. Suppose 0*k = -k + q. What is the remainder when k is divided by 6?
4
Let h be (-1)/(-3) + (-91)/21. Calculate the remainder when 19 is divided by h/6 - (-68)/12.
4
Let j = 109 - 93. What is the remainder when 23 is divided by j?
7
Suppose 3*h - 23 = l, 4*h + 9*l = 4*l + 37. What is the remainder when 13 is divided by h?
5
Suppose -4*m = -2*l - 54, -31 = l + 2*m - 8. Let c = 30 + l. Calculate the remainder when 27 is divided by c.
2
Let o = 229 + -188. Suppose -i + 3*i = 10. Suppose -s + 3*g = 4*g - 19, 4*g = i*s - 50. Calculate the remainder when o is divided by s.
13
Let g(s) = -s. Let c(z) = -3*z - 4. Let u(a) = c(a) + 4*g(a). Calculate the remainder when 94 is divided by u(-4).
22
Let g(z) = -z**3 + 6*z**2 + 4*z + 6. Let j be g(5). Suppose 0 = -5*q + j + 19. Let i = -23 - -50. Calculate the remainder when i is divided by q.
13
Let j(n) = -n**2 - 11*n - 11 + 0*n**2 + 10. Suppose -9 = -2*g - g - 2*q, 0 = q + 3. What is the remainder when j(-10) is divided by g?
4
Let a = -59 + 88. What is the remainder when a is divided by 6?
5
Let u = -107 + 160. What is the remainder when u is divided by 18?
17
Let z be (8/(-10))/(2/5). Calculate the remainder when 18 is divided by (4/10)/(z/(-50)).
8
Let j(o) = o**3 + 5*o**2 - o - 3. Let f be j(-5). Let x(a) = 3*a - 4. Let r be x(3). Suppose -f*t = -r*t + 42. What is the remainder when 40 is divided by t?
12
Let v = -45 + 76. Calculate the remainder when v is divided by 9 - 2 - (1 + -2).
7
Suppose -2 = 4*b - 10. Suppose -y = -b*y - 4*z + 25, 0 = z - 5. Suppose -28 = -2*p - 2. Calculate the remainder when p is divided by y.
3
Suppose -7*r + 34 = -36. What is the remainder when 69 is divided by r?
9
Let b be -7*(-3 - 228/28). Let o = -9 + b. Calculate the remainder when o is divided by 24.
21
Suppose 0 = 3*h + 4*h - 21. What is the remainder when 10 is divided by h?
1
Suppose -4*k - 89 = -5*x, 2*k = -2*x - 0*x + 32. What is the remainder when 64 is divided by x?
13
Suppose 2*p = p - 3*f + 55, f = -5*p + 261. Let a(s) = -s**3 + 14*s**2 - 12*s - 9. Let m be a(13). What is the remainder when p is divided by m*9*(-1)/(-2)?
16
What is the remainder when (110 - 0)*(30/12)/5 is divided by 7?
6
Let f(z) = z + 11. Let x(s) = s + 3. Calculate the remainder when f(-6) is divided by x(0).
2
Suppose 0 = -3*a - 0*a + 15. Suppose -6*r + 56 = -2*r. What is the remainder when r is divided by a?
4
Suppose 3*v - 21 + 15 = 0. Suppose -3*j + 71 - v = 0. What is the remainder when j is divided by 8?
7
Let g = -12 - -30. What is the remainder when g is divided by 7?
4
Let v(a) = a + 17. Calculate the remainder when v(-13) is divided by 30/(-25)*(-5)/2.
1
Let b = -7 + 10. Suppose -b*a + 145 = -4*c, -c - 210 = -4*a + c. What is the remainder when a is divided by 14?
13
Suppose 8*c = 12*c - 76. Calculate the remainder when c is divided by 4.
3
Suppose 2*r - 46 = -4*s, 0 = -3*r + 2*s - 8 + 37. Suppose -r = -4*b + 7. Calculate the remainder when 12 is divided by b.
2
Let c be 56 - 3/((-3)/2). Let f = c - 24. What is the remainder when f is divided by 12?
10
Suppose -2*o + 128 = w, 5*w - 640 = -0*w - 4*o. What is the remainder when w is divided by 33?
29
Let g(q) = 2*q - 13. Let k(c) = 3*c - 19. Let i(z) = 7*g(z) - 5*k(z). Let s = -40 + 36. Calculate the remainder when i(s) is divided by 5.
3
Suppose -4 + 7 = d. Let s(q) = 7*q + q + 0*q - 4. Calculate the remainder when 38 is divided by s(d).
18
Let o(p) = -p**3 + 5*p**2 + 7*p - 5. Let u be o(6). Suppose 0 = -q - u + 7. Calculate the remainder when 11 is divided by q.
5
Let o be (-3)/2 - 46/(-4). Calculate the remainder when o/15*57/2 is divided by 1/(-2) - 45/(-6).
5
Suppose 2*j - 153 - 115 = 0. What is the remainder when j is divided by 45?
44
Let j(s) = -s**2 - s - 9. Let q be j(0). What is the remainder when 16 is divided by (q/2)/(6/(-8))?
4
Let m be 3/((-18)/(-4))*30. What is the remainder when 39 is divided by m/(-3)*(-24)/16?
9
Suppose 82 = 3*x - x. Calculate the remainder when x is divided by 16.
9
Let u(v) = -v - 1. Let j(d) = -d + 5. Let b be j(7). Let k be u(b). Suppose 0 = 2*s - 21 - k. What is the remainder when s is divided by 4?
3
What is the remainder when (-25)/5*(-2)/2 is