 the remainder when 14 is divided by z.
4
Let f = -20 - -26. Calculate the remainder when f is divided by 4.
2
Suppose -4*c - 1 = -9. What is the remainder when 2 is divided by c?
0
Let u(p) = 3*p**3 - 4*p**2 + p + 2. Let w = -5 - -7. Suppose 5*f + 5*h = 55, 4*f = -w*h + 48 - 12. What is the remainder when u(2) is divided by f?
5
Suppose 0 = -4*i + 4*r + 244, 3*i + 278 = 8*i + 4*r. What is the remainder when (1 - -5)*i/6 is divided by 20?
18
Let x(i) = 22*i - 6. Let w be x(8). Let a = w + -93. Let r = 51 - 25. What is the remainder when a is divided by r?
25
Let k(d) = -d. Let o be (-6)/21 - 6/(-21). Suppose -4*n - 2*r = -26, n = -o*n + 2*r + 14. What is the remainder when n is divided by k(-5)?
3
Let s = -3 - -8. Let o(h) = -h**3 + 6*h**2 + 4*h - 1. Calculate the remainder when o(s) is divided by 15.
14
Let q be 0 + (1 + -4 - -43). Suppose 2*l - q = 60. Suppose -5*z + 10*z = l. Calculate the remainder when 18 is divided by z.
8
Suppose 2*c - 114 = -2*w, -20*w - 2*c + 60 = -19*w. Calculate the remainder when w is divided by 14.
12
Let i(j) be the second derivative of -j**3/6 - j**2 - 2*j. Suppose -3*a = 3*b - 63, 3*a - 32 = -4*b + 32. Calculate the remainder when a is divided by i(-9).
6
Suppose -50 = 2*s + 3*s. Calculate the remainder when (-1)/(-2)*(2 - -16) is divided by (0 + -2)/(4/s).
4
Suppose 1 - 7 = -s. Let q(c) be the first derivative of 3*c**2/2 - 2*c + 2. What is the remainder when 46 is divided by q(s)?
14
Let w = 58 - 28. Suppose -85 = -3*f + 4*m, -3*f - 3 = -3*m - 90. What is the remainder when f is divided by 1 - -3*w/9?
9
Suppose 3*j - 5*j + 42 = 0. Suppose 5*a - 61 = -2*h, -h + 3 + 0 = 0. What is the remainder when j is divided by a?
10
Let s = -4 + 10. Suppose 5*t + 13 = j, s*t + 3 = 3*t. What is the remainder when 22 is divided by j?
6
Suppose 2*q = 3*q - 5, -30 = -c - 2*q. Calculate the remainder when 78 is divided by c.
18
What is the remainder when 75 is divided by 2512/112 + 3/(-7)?
9
Suppose 0 = -0*j - 2*j + 10. Calculate the remainder when j is divided by 2.
1
Let t be -1 + -1 + -1 + 8. Suppose 3*u = -3*s + 27, -2*u = -4*u - t*s + 15. Suppose v = 4 + u. What is the remainder when v is divided by 5?
4
Suppose -4*m + m = -15, 0 = -5*b - 2*m + 20. Let h(x) = 4*x - 4 + 5*x**b + 4 - 5*x. What is the remainder when 15 is divided by h(-1)?
3
Let w(c) = -4*c - 4. Calculate the remainder when 21 is divided by w(-3).
5
Let h = -30 - -48. What is the remainder when 25 is divided by h?
7
Suppose -3 - 14 = -y. Let q(s) = -19*s + 2. Let a be q(-2). What is the remainder when (-24)/(-10)*a/3 is divided by y?
15
Suppose -49*t - 213 = -52*t. Calculate the remainder when t is divided by 8.
7
Suppose 9 = -k - 3*m, 2*m + 11 + 0 = k. Let p(j) = -j**2 + 7*j - 1. Let w be p(7). Let n = 6 - w. What is the remainder when n is divided by k?
1
Let j be 10/50 + (-228)/(-10). Let y = j - 11. Suppose 0 = 4*t + 5 - 33. Calculate the remainder when y is divided by t.
5
Suppose 10*s - 379 = -49. What is the remainder when s is divided by 5?
3
Calculate the remainder when (-1)/(-3)*387/3 is divided by 16.
11
Let u = 17 + -19. Calculate the remainder when 4427/209 - u/(-11) is divided by 6.
3
Suppose 3*m - d = 14, 0*m - 7 = m + 2*d. Suppose -u - 4 - 4 = m*y, -2*y - 10 = 0. What is the remainder when (4/6)/(-2)*-39 is divided by u?
6
Let f be 8/10 - 1/(-5). Let h = 6 - f. Calculate the remainder when 9 is divided by h.
4
Let q be (-24)/(-9)*(-3)/2. Let n = 6 + q. Calculate the remainder when 13 is divided by -2*(-5 + n + 1).
1
Let y(m) = -3*m**2 - m - 18*m**3 - 42*m**3 + 3*m**2. Suppose 0 - 1 = s. Calculate the remainder when y(s) is divided by 16.
13
Suppose -2*l + 2 - 7 = h, 0 = -5*h + 3*l + 40. Suppose -39 = -h*t + 2*d + 61, -97 = -4*t + 5*d. What is the remainder when 69 is divided by t?
15
Let s(d) = d**3 + 3*d**2. Let c(m) = -m**3 + 6*m**2 + 7*m - 2. Let k be c(7). What is the remainder when s(k) is divided by 3?
1
Let t(z) = -4*z**3 + 3*z - 8 + 9*z**3 - 6*z**3 + z - 5*z**2. What is the remainder when 14 is divided by t(-6)?
2
Let m be 84/22 + 12/66. Suppose 27 = 5*o + 2*x, 0*o - m*o + 17 = -3*x. Calculate the remainder when o is divided by 3.
2
Let b(q) = q**2 - 7*q - 6. Let k(w) = w**2 - 7*w - 6. Let r(t) = 6*b(t) - 5*k(t). Let o(l) = l**3 - l + 3. Calculate the remainder when o(0) is divided by r(8).
1
Suppose 4*p - 30 = 26. Calculate the remainder when 25 is divided by p.
11
Let l(y) = -y + 4. Let w = -44 - -49. Suppose 13 = z + 5*m + 37, -10 = w*z + 3*m. Calculate the remainder when l(3) is divided by z.
0
Let y(s) = s**2 - 4*s + 5. What is the remainder when y(-6) is divided by 17?
14
Let w(n) = 5*n - 2. Calculate the remainder when w(4) is divided by -1 - (10 - -1)*-1.
8
Suppose 3*y = -2*h + 17, 0 = h - 0*y + 4*y - 16. Suppose h*f + 16 = -b - 0*b, 5 = -f. Calculate the remainder when (-11)/(3/1 - 4) is divided by b.
3
Let n = -109 + 167. What is the remainder when n is divided by 24/(-15)*50/(-4)?
18
Let y = 132 - 93. What is the remainder when y is divided by (-1 - 0) + 15 + 6?
19
Let d = 50 + -29. Let o(c) be the second derivative of -c**4/12 + 5*c**3/6 + 11*c**2/2 - 3*c. Calculate the remainder when d is divided by o(5).
10
Suppose 0*m - 3*m = -15. What is the remainder when 27 is divided by m?
2
Suppose 12 = p - m, 2*p + 2*m - 57 = -13. What is the remainder when 65 is divided by p?
14
Suppose 0 = 5*g + 2*u - 49, -3*u + 2*u = -3*g + 36. Suppose 5*t - g - 16 = 3*j, 4*j + 16 = 0. What is the remainder when 4 is divided by t?
1
Let o be (-16)/(-6)*12/8. Suppose -o*h + 63 = -21. Calculate the remainder when h is divided by 6.
3
Suppose -3*v - 4*y - 66 = 0, -17 = -3*v - 5*y - 80. Let s = -12 - v. Let o = 60 + -19. Calculate the remainder when o is divided by s.
13
Suppose -23 = -4*k + 33. Calculate the remainder when k is divided by 4.
2
Let m(b) = -3*b + 2. What is the remainder when 46 is divided by m(-7)?
0
Suppose g - 19 = -4*x, 2*x + 3 = 5*x. Calculate the remainder when 57 is divided by g.
12
Let v(t) = 12*t**3 - 2*t**2 + 5*t - 4. Calculate the remainder when v(1) is divided by 8.
3
Let o be 6*2/4*25. Suppose -2*r + 5*r - o = -3*s, -5*r + 116 = 2*s. What is the remainder when r is divided by 8?
6
Let u = 82 - 7. Let v = u - 48. Calculate the remainder when 107 is divided by v.
26
Let c(s) = -11*s**3 - s**2 - 2*s - 1. Let t be c(-1). Suppose 0*d + d = t. What is the remainder when 19 is divided by d?
8
Let z = 83 + -45. Let r(g) = -g**2 + 6*g + 4. What is the remainder when z is divided by r(3)?
12
Suppose -5*r = -33 - 7. Suppose 35 = 3*c + r. Suppose 5*b = -4*g + 150, 56 = 5*b + g - 79. Calculate the remainder when b is divided by c.
8
Suppose 2*r - 153 = -5*g, -g = -2*g + 3*r + 17. Let i = 75 - -3. Suppose 4*k - g = 5*a + i, -30 = -k - 2*a. What is the remainder when k is divided by 10?
8
Calculate the remainder when 27 is divided by -28*((-2)/4*2)/2.
13
Suppose -2*t - 4*b + 28 = 10, 0 = 3*t - 5*b + 28. Let u = t + 7. What is the remainder when 9 is divided by u?
3
Let q(a) = 37*a + 2. Let y be q(4). Suppose -4*p - p + y = 0. Calculate the remainder when p is divided by -1*-6*(-16)/(-6).
14
Suppose d - 61 = 22. What is the remainder when d is divided by 22?
17
Suppose 2*y - 3*u - 39 = 0, -2*y - u - 7 = -26. Calculate the remainder when 18 is divided by y.
6
Suppose 255 = -0*c - 3*c. Let f(x) = 12*x**2. What is the remainder when (4/(-5))/(2/c) is divided by f(-1)?
10
Calculate the remainder when 3*20*(-12)/(-16) is divided by 24.
21
Let d(t) = -t**2 + 11*t + 4. Let j(u) = u**2 - 5*u - 2. What is the remainder when d(5) is divided by j(7)?
10
Let h = -9 + 13. Let z = 5 + -5. Suppose -2*u = -z*u - 20. What is the remainder when u is divided by h?
2
Suppose 0 = -3*j - 5*g + 6*g + 95, -2*j - g + 55 = 0. Calculate the remainder when j is divided by 17.
13
Let v(t) = -t**3 - 10*t**2 - 6*t + 13. Let j be v(-9). Calculate the remainder when 5 is divided by (-6)/(-21) + (-24)/j.
1
Suppose t + 3*t - 188 = 0. Suppose -t = -5*n + 63. What is the remainder when n is divided by 6?
4
Calculate the remainder when 267 is divided by (54/4)/(-1)*(-3 - -1).
24
Suppose -v = 5*u + 4*v - 20, -v - 6 = -u. What is the remainder when (4/(-6))/((-1)/36) is divided by ((-13)/(-2))/(u/10)?
11
Let p be 4/6 + 136/(-6). Let l = 10 - p. What is the remainder when