 f + -19. Calculate the remainder when 8 is divided by n.
3
Let n = 16 - 11. Suppose 0 = 4*f - n*d - 41, -5*f - 4*d - 24 + 106 = 0. Calculate the remainder when f is divided by 4.
2
Suppose 0 = -3*g + 3*a + 60, -1 = a - 6. Suppose 5*z - 355 = -5*x, 30 = 3*z - 2*x - 198. What is the remainder when z is divided by g?
24
Let t(g) = 4*g**2 + 7*g - 1. What is the remainder when 53 is divided by t(-3)?
11
Calculate the remainder when 26 is divided by (-517)/(-77) - (-4)/14.
5
Let f be (0 - -2)*-1 - -8. Let p(o) = -o + 8. Let q(n) = n. Calculate the remainder when q(3) is divided by p(f).
1
Let a be (-85)/(-15) + 4/(-6). Suppose -3 - 22 = -a*f. Calculate the remainder when 13 is divided by f.
3
Suppose 3*n - 8 = 31. Suppose -m - 111 = -4*m + 4*b, -3*b + 148 = 4*m. Calculate the remainder when m is divided by n.
11
Suppose 9*w - 15 = 8*w. What is the remainder when w is divided by 8?
7
Let a = 1351 - 750. Suppose -2*o - 75 = -a. Suppose 79 = -4*p + o. What is the remainder when p is divided by 16?
14
Let o(x) = -2*x**3 - 2*x - 2. Calculate the remainder when o(-3) is divided by 20.
18
Calculate the remainder when 55 is divided by (-118)/(-6) + (-6)/9.
17
Suppose 40 = 4*x - 0. What is the remainder when 28 is divided by x?
8
Suppose p - 7 + 9 = 0. What is the remainder when 33 is divided by p/(-2)*1 - -16?
16
Suppose 3*b - 54 = b. What is the remainder when 91 is divided by 27/(-9) + -1 + b?
22
Let f = -49 + 64. Calculate the remainder when 26 is divided by f.
11
Let j = 222 + -141. Let b(f) = 2*f**2 - 10*f + 9. What is the remainder when j is divided by b(6)?
18
Suppose -14 = -3*l + 5*c + 88, -41 = -l + 4*c. Suppose 2*u - l = 7. Suppose -4*s - 2 = -u. What is the remainder when 7 is divided by s?
3
Let f be ((-15)/6)/((-2)/4). Suppose -8 = -4*n + 4*t, 3*t - f*t - 12 = -4*n. What is the remainder when 7 is divided by n?
3
Let z = -9 + 9. Suppose z*b - 3*b = -48. Calculate the remainder when 30 is divided by b.
14
Calculate the remainder when 3 is divided by -8 + 5 - (-5)/1.
1
Suppose 3*g = g - 2. What is the remainder when (-1)/((-2)/(-62)*g) is divided by 16?
15
Let k(u) = -u - 1. Let y be k(0). Let w = -51 - -71. Calculate the remainder when w is divided by y*(-2)/(4/22).
9
Let o(b) = b**2 + b - 46. Let m(g) = g + 27. Let t be m(0). Suppose 0 = 3*j - 0*j - t. What is the remainder when o(-9) is divided by j?
8
Suppose -k + 11 = -30. Suppose 8*m = 10*m - 6. Suppose 0 = m*o + 2*l + 17 - 55, 3*l = -4*o + 50. Calculate the remainder when k is divided by o.
13
Suppose -8*r + 32 + 8 = 0. Calculate the remainder when 17 is divided by r.
2
Let k = -3 - -5. Suppose 0*n - 20 = -4*v - n, -3*n = -3*v. Suppose 5*l + 0*l + 20 = 5*y, y = -v*l + 9. Calculate the remainder when k is divided by l.
0
Suppose 2*n - 2 - 6 = 0. Suppose -2*y = -3*s - 23, n*y - 2*s - 19 = 31. Calculate the remainder when 51 is divided by y.
12
Let v be (-318)/(-21) + 1/(-7). Let f be ((0 - 1) + 0)*-10. What is the remainder when 28/f + 3/v is divided by 2?
1
Let a be 44/(-6)*-1*6. Let m = -24 + a. What is the remainder when m is divided by 74/7 + 3/7?
9
Suppose 0 = 23*u - 22*u - 17. What is the remainder when u is divided by 4?
1
Suppose -5*v + 109 + 119 = -t, 3*t = -v + 36. Suppose l + 2*l - 4*x = 27, 5*l + 2*x = v. Let q(h) = 3*h - 12. What is the remainder when q(l) is divided by 8?
7
Let l be (-4)/26 + 93/13. Suppose 5*u + l = 152. Let t = 6 + 4. Calculate the remainder when u is divided by t.
9
Let m(x) = 2*x**2 + 4*x - 3. Suppose 9 = 4*v + 25. Let b be m(v). Suppose b = h - 0*h. Calculate the remainder when 25 is divided by h.
12
Calculate the remainder when 35 is divided by ((-1)/3)/((-5)/195).
9
Let f = 11 - -5. Suppose 0 = 3*q - f - 26. Calculate the remainder when q is divided by 9.
5
Let p be (7/3 + -2)*93. Suppose 3*t - 11 - p = 0. Calculate the remainder when 25 is divided by t.
11
Suppose -145 = 5*z + 5. Let o be (-132)/(-10)*z/(-12). Let w = 49 - o. Calculate the remainder when w is divided by 6.
4
Let z(a) = -2*a + 3. Suppose -q = -5*t + 4*t, q + 30 = -5*t. What is the remainder when (2 + 0)/2 + 23 is divided by z(t)?
11
Suppose -5*s = -a - 20, 5*s = -3*a - 0*a. Suppose 3*c + 8 = -s*f - 7, f - 3*c + 25 = 0. What is the remainder when 34 is divided by ((-4)/f)/((-1)/(-30))?
10
Let z(g) = -g**3 + 4*g**2 + 4*g - 3. Let m(d) = 2*d**2 + 5*d. Let q be m(-4). Let v = q - -12. What is the remainder when v is divided by z(4)?
11
Let y(w) be the second derivative of w**3/2 - 3*w**2 + 2*w. Let h be y(4). Calculate the remainder when 40 is divided by (-144)/(-10) + h/(-15).
12
Suppose -15 = -5*s - 5, -2*s + 127 = 3*a. Calculate the remainder when a is divided by 7.
6
Suppose -l + 2*k = 7*k - 37, 88 = 4*l + 5*k. Let p = l - -5. Suppose 15 = c - p. What is the remainder when c is divided by 19?
18
Let p(b) = b**3 + 7*b**2 - 3*b - 4. Let c be p(-6). Suppose 0*f + c = f. Calculate the remainder when f is divided by 13.
11
Let s = -66 + 83. Calculate the remainder when 84 is divided by s.
16
Let h = 47 + -19. Suppose 2*y = y + 15. Calculate the remainder when h is divided by y.
13
Let a(i) = 6*i - 22. Calculate the remainder when a(7) is divided by 8.
4
Let h(s) be the first derivative of 2*s**2 - 5*s - 3. Calculate the remainder when 57 is divided by h(5).
12
Let b = 81 - 60. What is the remainder when 38 is divided by b?
17
Suppose 12 = 5*f + 2. Suppose -3*z + f*z + 23 = 0. Let q = 9 - 3. What is the remainder when z is divided by q?
5
Suppose -6*k = -2*k. Suppose -3*p + 7 + 8 = k. What is the remainder when 13 is divided by p?
3
Let y be ((-180)/16)/(1/(-4)). Suppose -5*v = -3*a - 10, -5*a = -0*a + 4*v - y. Let d = -1 - -3. Calculate the remainder when a is divided by d.
1
Let q(y) = y**3 + y**2 + y + 17. Suppose -355 = -5*h - 4*k, 0 = -k + 5 - 0. What is the remainder when h is divided by q(0)?
16
Let s = -12 + 45. Calculate the remainder when 97 is divided by s.
31
Suppose h = -4*h + 260. Let v = 14 - h. What is the remainder when (-1)/((4/v)/2) is divided by 5?
4
Suppose -188 = -4*l + p + 3*p, -p - 4 = 0. Calculate the remainder when l is divided by 11.
10
Let v(g) = -g + 6 - 4*g + 8 - g. Let d be v(11). Calculate the remainder when 20/(-8)*d/5 is divided by 9.
8
Let v = 6 + -14. Let k = 13 + v. What is the remainder when 7 is divided by k?
2
Let v(w) = -w + 38. Calculate the remainder when 92 is divided by v(6).
28
Let v = -10 + 15. Suppose -2*j + 0*j + 8 = 0. Suppose j*p - 2*p - 4 = 0. Calculate the remainder when v is divided by p.
1
Let o = -3 - -44. Suppose x - 2*x + 16 = f, x - 36 = 3*f. Calculate the remainder when o is divided by x.
20
Let y(v) = v + 39. Calculate the remainder when 23 is divided by y(-27).
11
Let u be (-119)/5 - (-4)/(-20). Let b be (-8)/6*18/4. Let y = b - u. Calculate the remainder when 34 is divided by y.
16
Suppose -w = -2, -19 = -3*y - 4*w + 52. What is the remainder when 39 is divided by y?
18
Let y(o) = o - 1. Let w be y(5). Suppose -3*c = 4*x - 65, 5*x - w*x = -4*c. Calculate the remainder when 39 is divided by x.
19
Suppose 2*s = -6*s + 216. Calculate the remainder when 159 is divided by s.
24
Let o(j) = -208*j - 7. What is the remainder when o(-1) is divided by 51?
48
Let q(d) = 4*d - 1. Suppose -4*r + 23 - 3 = 0. What is the remainder when q(2) is divided by r?
2
Suppose -2*u - 3*u = -210. Let t(q) = -q**3 + 5*q**2 + 3*q + 7. Calculate the remainder when u is divided by t(5).
20
Suppose -h + 4*h = -4*t + 22, -4*h + 28 = 5*t. Let o = 16 - t. Calculate the remainder when 21 is divided by o.
9
Let f = 328 + -62. Suppose -w + 6*w + 655 = -3*z, -2*w - 2*z = f. What is the remainder when (-2)/(-5) + w/(-5) is divided by 9?
8
Let m(g) = -g**2 - 4*g + 5. Let t(j) = 5*j**3 + j**2 + 2*j + 1. Let u be t(-1). Let k be m(u). Calculate the remainder when 27 is divided by 1 + 0 + (k - -13).
13
Let y(k) = k**2 + k + 22. Suppose 2*b = 6*b. Calculate the remainder when y(b) is divided by (-3 - -5)/((-2)/(-12)).
10
What is the remainder when 32 is divided by (34/(-4))/(3/(-6))?
15
Suppose -q - 4*f = -2*q + 19, q + 5*f = 28. Suppose -y = 9 - q. Let p = -26 - -52. What is the remainder when p is divided by y?
12
Let d(h) = -12*h + 12. What is the remainder when d(-6) is divided by 29?
26
Let o be 6 + (0 - 3) + -3. Suppose -3*n - 3*f = f - 44, -f - 4 = o. What is th