the remainder when k is divided by 12.
11
Let c(h) = -3*h + 1. Let m be c(8). Let w = 35 + m. Calculate the remainder when 34 is divided by w.
10
Suppose 0 = 4*i - 8 - 4. Let b = i - 4. Let p = b - -7. What is the remainder when 11 is divided by p?
5
Suppose -4*v + b = -88 - 7, -4*v + 89 = b. Calculate the remainder when 89 is divided by v.
20
Let w be (-5)/(3/(-54)*2). Calculate the remainder when ((-10)/6)/((-3)/w) is divided by 35/(-1)*4/(-10).
11
Suppose a + 5*a = 180. Suppose 0 = -6*n + n + 80. Calculate the remainder when a is divided by n.
14
Suppose 4*q + 3*q - 56 = 0. What is the remainder when 21 is divided by q?
5
Suppose u + s - 36 = 0, 100 = -0*u + 3*u - 5*s. Suppose 2*f = 5*y - 68, -2*y - 2*f + 16 = -0*f. Calculate the remainder when u is divided by y.
11
Let d = -8 + 24. What is the remainder when 62 is divided by d?
14
Suppose 19 = -2*a - a - 5*t, 2*a + 2*t = -6. Suppose -a*f - 3*f = 5*i, -4*i - 24 = -2*f. What is the remainder when 13 is divided by f?
1
Suppose 4*k - 2*k = -16. Let c = k + 12. Let u = 0 + 3. Calculate the remainder when c is divided by u.
1
Suppose -m - 15 = -4*u - 41, 0 = -u + m - 5. Let a(w) = w**2 + 7*w + 8. Calculate the remainder when 15 is divided by a(u).
7
Suppose 2*i + 3*d = -i, -4*i = -d - 15. Suppose 2*c = 4*c. Suppose c*w - 8 = -2*w. What is the remainder when w is divided by i?
1
Suppose 190 = 4*t + t. Suppose 61 = 4*f + 9. What is the remainder when t is divided by f?
12
Let n(t) = -t + 28. Let q = -68 - -83. Calculate the remainder when n(0) is divided by q.
13
Suppose -17*i = -12*i - 65. Calculate the remainder when 32 is divided by i.
6
Let z be (3 - 1)/((-2)/(-4)). Suppose 3*d + 2*o = 83, -z*d - 2*o + 105 = -7. Suppose -20 = 9*a - 11*a. Calculate the remainder when d is divided by a.
9
Suppose -40 = -4*j + 2*x, 0 = j + 2*x - 5 - 10. What is the remainder when 42 is divided by j?
9
Let r = -9 - -3. Suppose -4*i + i = -45. Let t = r + i. What is the remainder when 25 is divided by t?
7
Let o = 24 - 49. Let l = o + 71. What is the remainder when l is divided by 12?
10
Let c(h) = -35*h**3 - 2*h**2 - 2*h. What is the remainder when c(-1) is divided by 20?
15
Suppose 2*j = -5*m - 25, -3*m + 1 = -2*j + 16. Suppose 0 = i + 1, 2*y = -j*i + 2*i + 28. Let c = 49 - 25. What is the remainder when c is divided by y?
11
Let f(z) = -z**2 + 11*z + 5. Calculate the remainder when 58 is divided by f(10).
13
Let o(w) = 29*w - 1. Let k be o(1). Suppose l - k = -l. Calculate the remainder when 40 is divided by l.
12
Let k(p) = -2*p - 7. What is the remainder when 65 is divided by k(-9)?
10
Suppose -m + 2*z + 63 - 18 = 0, 4*m = 4*z + 160. Let n(v) be the second derivative of v**4/12 + v**2 - v. Calculate the remainder when m is divided by n(4).
17
Let l(f) = -3*f + 124. Calculate the remainder when (2 + 1)*26/6 is divided by l(40).
1
Suppose 0 = -0*c + 2*c - 34. Let j = -10 + c. Calculate the remainder when 12 is divided by j.
5
Suppose q = -0*q + 738. Calculate the remainder when (-2)/(-8) - q/(-24) is divided by 16.
15
Suppose 75 = g - 0*g. Calculate the remainder when g is divided by 19.
18
Let d(c) = c**3 - 10*c**2 + 12*c + 8. Let k be d(9). Let p = k + -15. Suppose 4*w = p + 36. What is the remainder when w is divided by 8?
6
Let c = -1 + 3. Suppose -4*d + j + 114 = -c*d, 2*j = 5*d - 287. What is the remainder when d is divided by 15?
14
Suppose 4*f + 0*f = 4*m + 260, 4*m - 325 = -5*f. Calculate the remainder when f is divided by 29.
7
Suppose -3*g + 5 = 2*g. What is the remainder when ((-24)/10)/(3/(-10)) is divided by 55/10 - g/2?
3
Let t(r) = -r**2 + 6*r - 2. Let a be t(5). Suppose o - 5 = -a. Let m = 3 - -1. Calculate the remainder when m is divided by o.
0
Let l = -1 - -253. What is the remainder when l is divided by 15?
12
Let n(j) = -j**3 - 5*j**2 - j + 1. Let o be n(-5). Suppose 0 = -3*s + 2*s + o. What is the remainder when 15/(-1 - (-10)/4) is divided by s?
4
Let x(n) = 19*n - 4. Let t(q) = -q - 1. Let h(z) = 6*t(z) - x(z). Calculate the remainder when h(-1) is divided by 12.
11
Let b = -16 + 34. Suppose c - b = -c. Let y = 0 - -17. What is the remainder when y is divided by c?
8
Let f = -4 - 8. What is the remainder when 13 is divided by (2 - 0)*f/(-8)?
1
Let c(j) = -2*j - 14. Let h be c(7). Let u = h + 65. What is the remainder when u is divided by 20?
17
Let o(x) = 2*x**2 - 13*x + 4. Let y be o(6). What is the remainder when (-483)/(-24) + y/16 is divided by 12?
8
Suppose 0 = 3*f - 6, 2*h - 4*f - 35 - 25 = 0. Let r = 58 - h. What is the remainder when 94 is divided by r?
22
Let v = 114 - 71. What is the remainder when v is divided by 11?
10
Let y(h) = -h**3 + h**2 - 5*h - 14. What is the remainder when y(-3) is divided by 5?
2
Suppose -5 = -g, -2*g = 4*n - 3*g - 31. Calculate the remainder when n is divided by 6.
3
Let v be (4/12)/(2/24). Suppose v*t - 15 = 33. What is the remainder when 21 is divided by t?
9
Let f(o) = 18*o**2 - o + 1. What is the remainder when 88 is divided by f(1)?
16
Suppose -4*f = -d + 141, 5*d + 3*f - 805 = -2*f. What is the remainder when d is divided by 40?
37
Let c be (-5)/(-2) + (-3)/(-6). Let h = c - -19. What is the remainder when 43 is divided by h?
21
Let l(q) = q + 22. Calculate the remainder when l(-17) is divided by 4.
1
Let s be ((-2)/6)/((-1)/(-15)). What is the remainder when (-325)/s - (0 - 2) is divided by 14?
11
Let x = 1 + -2. Let q(t) = -8*t**3 + t**2 + t + 1. Suppose 0*p + 3 = p. What is the remainder when q(x) is divided by p?
0
Let c be (-4)/(-1 + -1) + -2. Calculate the remainder when -18*(1 - (c - -3)) is divided by 10.
6
Let j(x) = -x**3 - 4*x**2 + 5*x + 7. What is the remainder when j(-6) is divided by (50/(-8) - -2)*-4?
15
Let f(g) = 2*g + 5. Calculate the remainder when f(5) is divided by (-1 + -1)/2 + 5.
3
Let z = -152 - -257. Calculate the remainder when z is divided by 22.
17
Suppose -8*m + 72 - 8 = 0. Calculate the remainder when 54 is divided by m.
6
Let p = 28 - 14. What is the remainder when 8/28 - (-682)/p is divided by 17?
15
Let q = -65 + 36. Let o = q + 55. What is the remainder when o is divided by 7?
5
Suppose -2*a = -l + 65, -a = -4*a - 6. Calculate the remainder when l is divided by 16.
13
Suppose 36 = -3*w - 4*z - 1, 0 = w - 5*z - 13. Let k(y) = -3*y - 3. What is the remainder when k(w) is divided by 10?
8
Calculate the remainder when (-6)/9 - 206/(-3) is divided by 35.
33
Suppose 2*m + 2*m = 56. Let d = -7 + m. Calculate the remainder when 13 is divided by d.
6
Suppose 2*b + 21 = 3*h, -5*h + 4 + 27 = -2*b. Let j(p) = p**2 - 19*p - 60. What is the remainder when 1/b + (-68)/(-6) is divided by j(22)?
5
Let n(x) = -4*x - 3. Let r be n(-2). Let o(h) = -h**3 + 5*h**2 + 5*h - 6. Calculate the remainder when o(r) is divided by 11.
8
Let l(k) = k**3 + 8*k**2 - 17*k + 9. What is the remainder when l(-9) is divided by 41?
40
Let y = -75 + 109. What is the remainder when 133 is divided by y?
31
Suppose 6*x - 70 = -4*q + 4*x, -2*q + 30 = -4*x. Let h = 5 + q. Calculate the remainder when h is divided by 12.
10
Suppose 2*t - 3*t = -67. Calculate the remainder when t is divided by 17.
16
Suppose 0 = -6*s + 3*s + 30. What is the remainder when 17 is divided by s?
7
Let j(u) = 2*u**3 - 3*u**2 + 4*u - 7. Calculate the remainder when j(3) is divided by 11.
10
Let i = 288 - 195. What is the remainder when i is divided by 12?
9
Let h = 69 - 48. Calculate the remainder when 104 is divided by h.
20
Suppose -5*c + 41 + 36 = 2*u, -4*c = 4*u - 52. Calculate the remainder when 42 is divided by 2/3*-3 + c.
12
Suppose -30 = -78*h + 77*h. What is the remainder when 73 is divided by h?
13
Let f = -14 - -17. What is the remainder when f is divided by 3?
0
Suppose 2*b - 4*p - 14 = b, 2 = 4*b + 2*p. Let v(o) = -o**3 + 4*o**2 - o. What is the remainder when 23 is divided by v(b)?
5
Let p(d) = -12*d - 17. Calculate the remainder when p(-2) is divided by 0 + 1 + 2*1.
1
Suppose a - 18 = 1. What is the remainder when a is divided by 5?
4
Let c(f) = 4*f + 3. Let n be c(-8). Let u = -21 - n. Calculate the remainder when 14 is divided by u.
6
Suppose -3 - 1 = -2*d. Suppose 0 = -5*x + d*x + 234. What is the remainder when x is divided by 20?
18
Suppose 2*u - 67 = -5*d, 0 = -u - 1 + 2. What is the remainder when d is divided by 11?
2
Let y = 31 - 19. Calculate the rem