 i + -4. Calculate the remainder when j is divided by 14.
13
Let c(q) = -q**2 + 17*q + 27. Calculate the remainder when 35 is divided by c(18).
8
Let a be (1 + 2)/3 + 2. Let f = a - 8. Let u(n) = n**3 + 7*n**2 + 4*n + 3. What is the remainder when u(f) is divided by 17?
16
Suppose 2*t + 6 = s, 3*s - 5*s - 3*t = 2. Let i = -13 - -19. Calculate the remainder when s is divided by (i - 1)*(-4)/(-10).
0
Let d(s) = 2*s**2 + 4*s + 3. Let a(w) = -w. What is the remainder when a(-8) is divided by d(-2)?
2
Suppose 10 = -h + 41. Let a = -16 + h. What is the remainder when 27 is divided by a?
12
Calculate the remainder when 205 is divided by (34/(-51))/((4/69)/(-2)).
21
Suppose 5*h - 2*h = 9. Let g(v) = 2*v**2 + v**h + 2*v**2 + 5 + v**2 - 2*v. Calculate the remainder when g(-4) is divided by 10.
9
What is the remainder when ((-4)/7)/(2/(-35)) is divided by 6?
4
Let d be (-186)/(-42) + (-6)/14. What is the remainder when 24 is divided by (9/d)/((-3)/(-12))?
6
What is the remainder when 35 is divided by (2/(-6))/((-6)/234)?
9
Let q(c) = 8*c - 1. Let o be q(1). Suppose 5 = -2*n + o*n. Calculate the remainder when 54 + 2*n/(-2) is divided by 14.
11
Suppose -5*h + 1324 = 369. Suppose 2*y = h + 247. Suppose 5*m - y = 1. Calculate the remainder when m is divided by 15.
14
Suppose 0 = -5*l + 49 - 9. What is the remainder when 62 is divided by l?
6
Suppose 4*n = 5*n - 9. Suppose -3*h = -3*m + 33, h + 0 = -5. Calculate the remainder when n is divided by m.
3
Suppose -2*m + 49 = -w, -2*m + 43 = -w + 6*w. Calculate the remainder when m is divided by 13.
11
Let m(b) = b**3 + 9*b**2 - 8*b + 4. Let w be m(-10). What is the remainder when 17 is divided by w/(-2) - (-10)/(-5)?
5
Suppose 29 = -4*a + 285. Suppose 5*x + 24 = a. What is the remainder when 31 is divided by x?
7
Suppose -h + 0*h = -27. Let l = h - 18. Suppose 11*g - 10*g - 34 = 0. What is the remainder when g is divided by l?
7
Let g(j) be the third derivative of -j**6/120 - 3*j**5/20 - 3*j**4/8 - 3*j**2. Let m be -2*2/(-1)*-2. What is the remainder when 21 is divided by g(m)?
5
Let v = 113 - 57. What is the remainder when v is divided by 30?
26
Let q(p) = -4*p - 1. Let m(y) = y. Let l(c) = 5*m(c) + q(c). Let n be l(-3). What is the remainder when 11 is divided by (-25)/n + 2/(-8)?
5
Suppose -3*k - 9 = 0, -3*h + 2*k - 7*k + 30 = 0. Suppose -2*c + 8 = -c. Let r = 36 - c. What is the remainder when r is divided by h?
13
Suppose 0 = -0*j + j - 5*q - 135, 0 = q - 4. Suppose 8*y - j = 3*y. Let f(l) = 12*l**2 - 2*l + 1. Calculate the remainder when y is divided by f(1).
9
Let m(w) = 2*w + 4. Let b be m(3). Suppose 6 + b = 2*l + 3*y, 4*y - 26 = -3*l. What is the remainder when l is divided by 5?
4
Suppose 0 = z + d - 41, -5*z + 189 = 2*d - d. What is the remainder when z is divided by 10?
7
Let y be 6/(-10) + (-2)/5. Suppose -4*m + 53 = l - 141, 3*m - 151 = 2*l. What is the remainder when m is divided by 201/12 + y/(-4)?
15
Let l(a) = 6*a**3 - a**2 + 2*a - 3. Let v = 27 + 1. Suppose -3*x = -r + v, 3*r - 68 = 3*x + 2*x. What is the remainder when l(2) is divided by r?
13
Let l(u) = u**2 + 6*u + 6. Let s be l(-6). Let z(r) = r. Let k be z(s). Suppose 17 - k = w. What is the remainder when 41 is divided by w?
8
Let x = 33 - 30. What is the remainder when 81 is divided by x?
0
Suppose -5 = 2*p - 13. Suppose 3*h - 3*n - 8 = -53, -n - 65 = p*h. Let t = h - -49. Calculate the remainder when t is divided by 17.
16
Suppose -3*v = 2*v - 20. Suppose 4*n = 2*t - 48, -t + v*t - 70 = 4*n. Calculate the remainder when t is divided by 6.
4
Let k = 15 - -29. Calculate the remainder when k is divided by 23.
21
Let h = -7 + -10. Let t = h + 52. What is the remainder when t is divided by 9?
8
Let i(u) = -u + 12. Let h be i(6). Suppose h - 94 = -4*c. What is the remainder when c is divided by 12?
10
Suppose 4*h - 1 = 19. Suppose -h = -k + 19. What is the remainder when k is divided by 7?
3
Let g(z) = z + 13. Let k be ((-14)/21)/((-1)/(-9)). Let i = -17 - -22. What is the remainder when g(k) is divided by i?
2
Suppose f = -5*o + 130, 2*o - f - 4*f - 52 = 0. Let p(q) = 2*q**2 - 4*q - 2. Calculate the remainder when o is divided by p(4).
12
Suppose 7*c - 4*c = 21. Let k(p) = -p**2 + 10*p - 4. Suppose -3*q - 57 = -2*h, -4*h - q = -0*h - 135. Calculate the remainder when h is divided by k(c).
16
Let i(t) = -4 + 0*t + 3 + 2*t. What is the remainder when i(6) is divided by 6?
5
Let z = -43 - -54. Calculate the remainder when z is divided by 4.
3
Let j(l) = -l**3 - 7*l**2 - 8*l - 3. Let h be j(-5). Let x = -5 - h. Suppose 0 = -2*r + 3*r - x. Calculate the remainder when 15 is divided by r.
7
Let z = 7 + 35. Let i = z + -17. What is the remainder when i is divided by 9?
7
Let v(t) = 25*t**3 + t**2 + t - 1. Let x(q) = 2*q + 4*q - 2*q - 2*q + 3. Calculate the remainder when v(1) is divided by x(3).
8
Let v(g) = 6*g**2 + 4*g + 2. Calculate the remainder when 49 is divided by v(-2).
13
Let i = 11 + -6. Suppose 6*j - 16 = i*j. Calculate the remainder when 47 is divided by j.
15
Let b(h) = h**2 - 4*h - 9. Let u be b(7). Let n be 2/(-6) - (-14)/6. Suppose d + u = n*d. What is the remainder when d is divided by 7?
5
Let n = 54 + 10. What is the remainder when n is divided by 11?
9
Let i(d) = d**2 - 2*d - 1. Let n = -13 - -9. Calculate the remainder when i(n) is divided by 8.
7
Calculate the remainder when 5 + 21 + 2 + 3 is divided by 8.
7
Suppose 0*i + 3*i - 51 = 0. What is the remainder when 83 is divided by i?
15
Suppose 2*o - 15 = -5. Suppose 2*w - 3 = -f + o*w, 0 = 5*f - w + 27. What is the remainder when 69 is divided by (f/(-4))/((-4)/(-48))?
15
Let f(p) = 3*p**2 - 3*p - 4. Calculate the remainder when f(4) is divided by 17.
15
Let o = 6 + 8. What is the remainder when o is divided by 3?
2
Let o(l) = l**2 + 4*l - 4. Calculate the remainder when o(6) is divided by 19.
18
Suppose 5 = 3*o - 25. Suppose 10*f - 5*f - o = 0. Suppose f*z - 17 = -7. What is the remainder when 8 is divided by z?
3
Let g be 4/(-10) - (-81)/15. Let q(t) be the first derivative of -t**4/4 + 2*t**3 + t**2 + 6*t + 2. What is the remainder when q(g) is divided by 14?
13
Let a = -102 - -159. Suppose -3*f - 3*c + 74 = f, 3*f + 2*c - 56 = 0. Calculate the remainder when a is divided by f.
17
Suppose -104 + 34 = -5*w. Calculate the remainder when 66 is divided by w.
10
Let f(r) = -r**2 - 15*r - 10. Calculate the remainder when f(-11) is divided by 12.
10
Suppose 3*d - 72 = -3*d. What is the remainder when (-1)/2*(-114 - 2) is divided by d?
10
Suppose -4*f + 3*f + 36 = 0. Let w = f - 22. Calculate the remainder when 26 is divided by w.
12
Let h(y) = -2*y + 3 - 2*y - y + 4*y. What is the remainder when 2 is divided by h(2)?
0
Let g be -3 + (-3 - -2 - 2). Suppose -2*n + 2*d = -10, 0*d - 4*d - 13 = -3*n. What is the remainder when 15 + g/(3 + -1) is divided by n?
5
Let s(u) = 10*u**2 - 4*u + 3. Calculate the remainder when s(2) is divided by 6 - 6*(-4)/8.
8
Let s(r) = r**3 + 9*r**2 + 3*r + 30. What is the remainder when 14 is divided by s(-9)?
2
Suppose 2*n - 100 = -3*n. Suppose 3*l + 116 = 5*l. What is the remainder when l is divided by n?
18
Let p = -21 - -42. Let v = p + -17. What is the remainder when 8/12 - (-13)/3 is divided by v?
1
Suppose 0*k - 4*k = -16. What is the remainder when 12 is divided by k?
0
Suppose -a + 394 = 5*r, -5*r + 98 = -4*r + 5*a. Suppose 3*p - 4*f + 29 = r, f - 29 = -3*p. Let o = p + 7. Calculate the remainder when o is divided by 10.
8
Suppose 4*w = 5*m - 72, -m - 3*w - 2*w - 3 = 0. Calculate the remainder when 13 is divided by m.
1
Let x be 12/(-42) - (-96)/(-7). Let a = 6 - x. What is the remainder when 38 is divided by a?
18
Let f = -10 - -23. Suppose -5*m - 4*t = -f, 5*m + 2*t - 10 = -3*t. Suppose 0 = 4*y, -6*v + y + 28 = -4*v. Calculate the remainder when v is divided by m.
4
Let m = 37 - 55. What is the remainder when (-1 - 0)*-1 + 22 is divided by 142/12 + (-3)/m?
11
Let n(r) = 4*r - 16. What is the remainder when n(15) is divided by 23?
21
Let x(k) be the first derivative of k**3/3 + k**2/2 - k + 3. What is the remainder when 19 is divided by x(-3)?
4
Suppose -4*i + i - 177 = -3*q, -79 = -q + 5*i. What is the remainder when 106 is divided by q?
52
Let r be (-1)/(-2) - (-18)/4. Let l(z) be the third derivative of -z**5/60 + 11*z**4/24 + 2*z**3/3 +