 -100 = -4*c - 4*a. Let u(t) be the second derivative of 3*t**3/2 - t**2 + 2*t. Calculate the remainder when c is divided by u(2).
14
Suppose -4*z + 13 = -39. Calculate the remainder when 64 is divided by z.
12
Suppose 0 = 4*b - r - 20, -2*b = 2*b - 2*r - 16. Let x = 19 + b. What is the remainder when 74 is divided by x?
24
Let a = 27 + -21. What is the remainder when 8 is divided by a?
2
Let g(z) = 1234*z + 1. Let u be g(1). Let f be (-2)/7 + u/35. Let d = -20 + f. Calculate the remainder when 29 is divided by d.
14
Let f be (-5)/(10/(-4)) + 1. Suppose 3*t = -4*z + 12, t - 3*t = z - f. Calculate the remainder when z is divided by 2.
1
Let v = 62 - 43. Let d = -46 + 82. What is the remainder when d is divided by v?
17
Let y(s) = -21*s**3 - 2*s**2 - 2*s - 1. Calculate the remainder when 58 is divided by y(-1).
18
Suppose -5*f + f + 12 = 0. Suppose -2*z - 2*m + 31 = m, 0 = -f*z - 3*m + 48. Let d = -17 + 49. Calculate the remainder when d is divided by z.
15
Let x(h) be the third derivative of -h**6/120 + h**5/60 + h**4/24 + 8*h**3/3 - 6*h**2. What is the remainder when 47 is divided by x(0)?
15
Suppose 2*a = 5*o - 440, -440 = -5*o - 2*a - 2*a. Calculate the remainder when o is divided by 30.
28
Suppose 2*b + 2*i = -b + 168, -3*b + 168 = 5*i. Let h = b - -28. Suppose -4*n + 28 = -h. What is the remainder when n is divided by 15?
13
Let w(y) = y**2 - 3*y - 24. Calculate the remainder when w(10) is divided by 8.
6
Suppose 0*z - 3*z + 99 = 0. Let j be 4 + -2 + 0 + 66. Suppose -r + j = 3*r. What is the remainder when z is divided by r?
16
Let i = -1 - -1. Suppose 0 = 5*g - i*b - b - 95, -19 = -g + 3*b. Calculate the remainder when g is divided by 15/(-6)*(-5 + 1).
9
Let u(z) = -z + 7. Let g be u(5). Suppose 0 = -g*i + 16 + 2. Calculate the remainder when i is divided by 4 + (1 - 1) - 6/(-3).
3
Suppose 0 = -3*q + 8*q. Suppose 8*f - 3*f - 55 = q. What is the remainder when 30 is divided by f?
8
Let w = 83 - 47. What is the remainder when w is divided by 19?
17
Let q be (-2)/4*-2*-6. Let h be q/8 + 2/(-8). What is the remainder when 24 is divided by 2*(h - 15/(-2))?
11
Suppose -3*a = -3*o + 327, a - 5*o + 45 + 56 = 0. Let u be (-1)/4 + a/(-12). Suppose 9 = 2*l - u. Calculate the remainder when l is divided by 6.
3
Let g(s) = s**2 + 4*s - 2. Let b be g(-6). Suppose -66 = -2*i - b. Suppose 0 = -5*m + m + i. Calculate the remainder when 13 is divided by m.
6
Suppose 0 = 19*h - 14*h - 305. Calculate the remainder when h is divided by 16.
13
Let m = -9 - -12. Let g = 13 + m. What is the remainder when g is divided by 6?
4
Let v(m) = -m**3 - 9*m**2 + 10. Calculate the remainder when 18 is divided by v(-9).
8
Let c be (-3)/((-9)/(-24)*4). What is the remainder when (-66)/c - (0 - 3) is divided by (-1 + 0)/1*-19?
17
Suppose 4*z = i - 2, 2*i + 3 = -1. What is the remainder when (18/(-4) - z)*-8 is divided by 15?
13
Suppose -2*o - 4 = -o, -3*a - 2*o + 4 = 0. Calculate the remainder when 9 is divided by ((-10)/(-4))/(2/a).
4
Let r(q) = -q**2 - 15*q - 39. Calculate the remainder when 32 is divided by r(-4).
2
Let t be 2/12 + 1/(-6). Let q(f) = f + 20. Let k = 10 + -3. What is the remainder when q(t) is divided by k?
6
Let j = 87 + -49. Calculate the remainder when j is divided by (-296)/(-28) - (-8)/(-14).
8
Let g(o) = 7*o**2. Suppose 2*u = 7*u - 20. What is the remainder when g(1) is divided by u?
3
Suppose h = 4*h - 15. Calculate the remainder when 17 is divided by h.
2
Let j = -627 + 1183. What is the remainder when j/9 + 2/9 is divided by 16?
14
Let j(c) = -3*c - 1. Calculate the remainder when 22 is divided by j(-3).
6
Let h(j) = -j + 47. Calculate the remainder when h(-13) is divided by 31.
29
Let y = 46 - 27. Let j = y - 10. Calculate the remainder when 17 is divided by j.
8
Suppose 4*u + 4 = 12. Suppose u*p + 6 = -5*s, -3 = -s - 5. Calculate the remainder when p is divided by (0 - 1)*(1 - 3).
0
Let j be 220/14 - 4/(-14). Let x = j + 0. Suppose 5*w - 155 = -3*n, -4*w + 93 = -w + 2*n. What is the remainder when w is divided by x?
15
Suppose -p + 0 = 3*w - 6, 18 = 3*p + 2*w. What is the remainder when 52 is divided by p?
4
Let q = 6 + -6. Suppose q = -3*g + 20 - 2. Let z = -1 + 11. Calculate the remainder when z is divided by g.
4
Let y be 4/(-14) - (-512)/28. Suppose 2*h - y = -0*h. What is the remainder when (1 + 27/(-2))*-2 is divided by h?
7
Suppose -5*l - 3 = 7. Let u = 5 + 9. Calculate the remainder when u is divided by (-1 + 9)*(3 + l).
6
Calculate the remainder when 36/(-20)*10/(-3) is divided by 4.
2
Calculate the remainder when ((0 - 321)/3)/(-1) is divided by 22.
19
Suppose -g - 4*t + 3*t = -5, -g - 4*t = -8. Suppose -3*c = -p + 11, -g*p = -c + 4*c - 29. What is the remainder when 14 is divided by p?
6
Let n = 37 + -12. What is the remainder when n is divided by 7?
4
Let b be 4/(-14) - 342/(-21). Suppose 4*d - 3*u - 14 - 2 = 0, -2*u - b = -4*d. What is the remainder when 6 is divided by d?
2
Calculate the remainder when 1/2 + 525/14 is divided by 20.
18
Let q(u) = u**2 + 6*u - 6. Suppose -5*w + 0*w - 30 = 0. Let a be q(w). Let g(l) = -l**3 - 6*l**2 + 3. What is the remainder when 4 is divided by g(a)?
1
Let y = -14 + 26. Let d = y + -30. Let p = 5 - d. What is the remainder when p is divided by 12?
11
Let v(q) = 3*q**3 - 2*q**2 + 2*q - 5. Let a(b) = 27*b**3 + 1. Calculate the remainder when a(1) is divided by v(2).
13
What is the remainder when 39 is divided by 6/(-8) + (-86)/(-8)?
9
Suppose 0 = 5*l - 22 - 68. Calculate the remainder when l is divided by 11.
7
What is the remainder when (-1 - -2) + 168/7 is divided by 14?
11
Suppose 5*m - 92 = -2*n - 0*n, 3*m + n - 55 = 0. Calculate the remainder when 53 is divided by m.
17
Suppose -c = 4*z - 5*c - 172, -10 = 5*c. Suppose 0 = -4*k - 3*b - 194, 3*b + 0*b = 4*k + 182. Let q = -33 - k. What is the remainder when z is divided by q?
13
Suppose -73 = -2*l + 3. Let a = -4 + 7. Suppose -a*g = g - 52. What is the remainder when l is divided by g?
12
Let a be 20/6 + (-2)/(-3). Suppose -3*y - a*k = -100, 0*k - k = -2*y + 85. Let u = y + -27. Calculate the remainder when 38 is divided by u.
12
Let f be 4/12*(248 - 2). Suppose 0 = 4*n - f + 34. What is the remainder when 19 is divided by n?
7
Let j = 13 - 5. Let p = 7 - j. Calculate the remainder when (-2)/((4*p)/2) is divided by 1.
0
Suppose -2*y - 143 + 763 = 0. What is the remainder when y is divided by 39?
37
Let r = -12 - -67. Let v = 35 - 16. What is the remainder when r is divided by v?
17
Let g = 30 + 13. Calculate the remainder when g is divided by 16.
11
Let p = -44 - -119. Suppose -6*r + p = -189. Calculate the remainder when r is divided by 23.
21
Calculate the remainder when 33 is divided by ((-1)/(-1))/((-11)/(-99)).
6
What is the remainder when (-25 + -2)/(4 + -5) is divided by 10?
7
Let y(d) be the third derivative of -d**4/12 - d**3/3 - 2*d**2. Let x be y(-2). Suppose x*s = -s + 36. Calculate the remainder when 35 is divided by s.
11
Let n(m) = m**3 + 3*m**2 - 3*m - 1. Let q be n(-3). Let b(r) = 32 - 41 + r + 2*r. What is the remainder when 29 is divided by b(q)?
14
Suppose -10*g - 44 = -14*g. Calculate the remainder when 20 is divided by g.
9
Let m = 25 - 13. What is the remainder when 54/2 + (5 - 10) is divided by m?
10
Suppose 4*t - 4 = -48. Let v = t + 22. Calculate the remainder when v is divided by 6.
5
Let j(k) = k + 9. Let r be j(8). Suppose -y - r = -u - 0*y, -3*u - 4*y = -30. What is the remainder when 39/(-1 - 5/(-2)) is divided by u?
12
Suppose -4*v + 0*v - 3*c = -17, -c + 24 = 5*v. Suppose 0 = 3*q - 2*q - v. What is the remainder when 17 is divided by q?
2
Let s be 1*2/(-4)*-126. Let b = 76 - 117. Let j = b + s. Calculate the remainder when 43 is divided by j.
21
Suppose 3*z + 39 = 4*z. Calculate the remainder when 77 is divided by z.
38
Suppose -1 = -2*m + 3. Suppose 5*k - 150 = -5*w, -m*w + 83 = 3*k - 12. Calculate the remainder when k is divided by 18.
17
Calculate the remainder when 62 is divided by (-228)/(-14) + 4/(-14).
14
What is the remainder when 2/5 - (-1211)/35 is divided by 9?
8
Let v(q) be the first derivative of q**3/3 + q**2/2 + 11*q + 7. Calculate the remainder when v(-6) is divided by 11.
8
Let g = 41 - 24. Suppose -6*x = -s - x + 8, 0 = 5*s - 2*x - g. What is the remainder when -28*3/(-6) + s is divided by 6?