?
3
Let l be (6 + -9)/((-3)/(-16)). Let t = l - -58. Suppose 0 = s - 3*h - 25, 3*s - 45 = -2*h + 19. What is the remainder when t is divided by s?
20
Let p(r) = r - 1. Let t be p(6). Suppose 5*c - 2*s - 85 = 0, 4*c - 75 + 7 = t*s. Calculate the remainder when c is divided by 10.
7
Suppose 0*r - 3*r + 66 = 0. Suppose 107 = 6*b + 35. What is the remainder when r is divided by b?
10
Suppose -4*l + 17 = -35. What is the remainder when 38 is divided by l?
12
Suppose 5*s + 0 = 5. Let y = 1 + -1. Calculate the remainder when -2*s + 52 - y is divided by 17.
16
Let l(x) = -x**3 - 4*x**2 - 2*x. What is the remainder when 20 is divided by l(-4)?
4
Let v(z) = z**3 + 5*z**2 - z - 5. Let k = -23 + 38. Calculate the remainder when k is divided by v(-2).
6
Suppose 2*i + 14 = 3*w + 224, -i + 280 = -4*w. Let v = 144 + -103. What is the remainder when v is divided by ((-4)/5)/(4/w)?
13
Suppose -4*c + 205 = a, -5*c + 5*a = -135 - 90. Let s = 82 - c. What is the remainder when s is divided by 13 - (-2 - (-4 - 0))?
10
Suppose -4*d + 26 = 2. What is the remainder when (-46)/(-4) - (-2)/4 is divided by (2/d)/(1/21)?
5
Suppose 3*n - 16 = 5*g, -4*n - 4*g + 0*g = -64. Let q(r) = -r**3 - 3*r**2 + 7*r + 8. What is the remainder when q(-5) is divided by n?
11
Let g(c) be the third derivative of 17*c**6/120 - c**5/60 - 3*c**2. Let v be g(1). What is the remainder when 45 is divided by ((-3)/(-2))/(2/v)?
9
Suppose -2*q + 5*v = 8, 3*v - 6 = -0. Calculate the remainder when (6/(-4))/((-3)/4) is divided by q.
0
Suppose -16 = -4*z, z = t - 2*z - 35. Suppose -5*a = -4*b - 325, t = -3*a - 2*b + 242. Calculate the remainder when a is divided by 17.
14
Suppose -t - g + 4 = 0, -12 = -5*t + 4*g - 1. Calculate the remainder when 37 is divided by t*-1 - (5 + -18).
7
Let n be (2/(-3))/(3/(-18)). Let b = n - 0. What is the remainder when 7 is divided by b?
3
What is the remainder when 62 is divided by (368/161)/((-4)/(-14))?
6
Let j(n) = 3*n**2 - 3*n. Calculate the remainder when j(4) is divided by 13.
10
Suppose 6 = 3*w - 0. Suppose -4*z + 4 = -0*z. What is the remainder when w is divided by z?
0
Suppose 4*v = 2*j - 18, -3*v = 8 + 4. Calculate the remainder when (-3)/j - (-15)/1 is divided by 7.
5
Suppose 3*p = 3*b - 0*p - 15, 4*p = 5*b - 28. Let m(a) = 14*a**3. What is the remainder when m(1) is divided by b?
6
What is the remainder when 482/8 + (-6)/24 is divided by 21?
18
Suppose 0 = -4*t + 78 + 10. Calculate the remainder when 65 is divided by t.
21
Suppose -h - 57 = -4*h + 5*x, -h = -x - 17. Let a(s) = -s**3 - 6*s**2 + 6*s + 1. What is the remainder when h is divided by a(-7)?
6
Suppose 2 = -h + 52. Calculate the remainder when h is divided by 13.
11
Let n(m) = -5*m - 2. Let u = 9 - 1. What is the remainder when n(-5) is divided by u?
7
Let v(h) = h + 13. Let x be 6/(-1 + 3 + 0). Suppose 5*i = -4*z + 69, x*i + 15 = -5*z + 59. What is the remainder when v(i) is divided by 14?
12
Suppose 4*g - 271 = -5*t + g, 0 = 2*t + 4*g - 114. Suppose 3*b - 50 = -2*q, -q + 3*q + 58 = 3*b. What is the remainder when t is divided by b?
17
Let i(a) = -a**3 - 4*a**2 + 7*a - 11. What is the remainder when i(-6) is divided by 8?
3
Let x(p) = -p**2 + 3*p - 2. Let f be x(2). Let y = 14 - f. Suppose -5 - 19 = -3*w. Calculate the remainder when y is divided by w.
6
Calculate the remainder when 116 is divided by (-311)/(-8) - ((-119)/56 - -2).
38
Suppose -3*j = 5*y - 10, -2*j - 2*y + 0 + 8 = 0. Let w = 17 + -24. Let n(b) = -b**3 - 6*b**2 + 7*b + 9. What is the remainder when n(w) is divided by j?
4
Calculate the remainder when (3 - -5 - 2)/((-3)/(-30)) is divided by (-3)/(-9) - 124/(-6).
18
Suppose -3 = 2*a - 13. Suppose 27 = 2*l - 0*z - z, 60 = a*l - 4*z. What is the remainder when 46 is divided by l?
14
Suppose 3 = 3*n - 6. Suppose 2*w - p = 16, -1 = w - n*p + 1. Calculate the remainder when 7 is divided by (w/4)/(3/6).
2
Suppose -19 - 1 = 5*k. Let b = 9 + k. Suppose -5*c + 48 = -2*c + 3*d, -d + b = 0. Calculate the remainder when 21 is divided by c.
10
Let u be (-238)/10 - (-5)/(-25). Let d = u - -65. What is the remainder when d is divided by 21?
20
Suppose 14 = -0*t + 2*t. Suppose 0 = 4*d + s + 2*s + t, 5*s + 35 = 5*d. Suppose -d - 18 = -4*x - p, -20 = 5*p. Calculate the remainder when 10 is divided by x.
4
Suppose n - 19 = -0*n. Suppose -70 - 295 = -5*t. What is the remainder when t is divided by n?
16
Suppose 0 = -2*r - 2*b + 16, -2*b + 46 = -0*r + 5*r. Calculate the remainder when 18 is divided by r.
8
What is the remainder when 96 is divided by (-29)/(-4) + (-2)/8 + 0?
5
Let d = -92 + 105. Calculate the remainder when d is divided by 5.
3
Let d(z) = z**2 - 5*z + 2. Suppose -2*u = 3 - 13. Calculate the remainder when 3*1*(0 + 1) is divided by d(u).
1
Calculate the remainder when (1/2)/((-1)/(-22)) is divided by 4.
3
Suppose -2*b - 5*s + 4*s + 40 = 0, 2*s = -8. Calculate the remainder when (-2)/(-10) + 642/15 is divided by b.
21
Let u be ((-4)/(-3))/((-10)/255). Let n = 63 + u. What is the remainder when n is divided by 8?
5
Let o be (-10)/(-2) - (-1 + -2). Let h = o + -6. Calculate the remainder when h is divided by 1.
0
Let n(w) = -w**3 - 3*w**2 - 2*w + 4. Let m = -1 - 3. Calculate the remainder when n(m) is divided by 15.
13
Let w = 175 - 138. Suppose l - 28 = -2*f - l, 2*f - 3*l = 23. Calculate the remainder when w is divided by f.
11
Let u(a) = 4*a**2 - 20*a + 24. Let j(g) = -g**2 + 5*g - 6. Let r(h) = -9*j(h) - 2*u(h). Let y = 21 + 12. Calculate the remainder when y is divided by r(6).
9
Calculate the remainder when 2/(((-6)/(-23))/3) is divided by 47/6 - (-6)/(-72)*-2.
7
Suppose 0 = -2*y - y + 9. Suppose -y*w + 1 = -38. What is the remainder when 25 is divided by w?
12
Suppose s + m - 16 = 0, -5*m + 29 = -s + 75. Let u(g) = 3*g**2 + 2*g - 1. What is the remainder when (6 + -5)/(3/s) is divided by u(1)?
3
Calculate the remainder when 56/2 - (-3)/(-1) is divided by 7.
4
Calculate the remainder when (5/10)/((-4)/(-216)) is divided by 11.
5
Let a = 36 + -26. Let z(t) = -t**2 + 14*t - 1. Let s(x) = -x + 8. Calculate the remainder when z(a) is divided by s(-6).
11
Suppose -10*h + 868 + 922 = 0. Calculate the remainder when h is divided by 36.
35
Let q(b) = -3*b + 5. Suppose -5*x + 3*k = -2*x + 27, 0 = 5*x + 2*k + 17. Let u = -32 - -111. Calculate the remainder when u is divided by q(x).
19
Let j = 96 - 40. Calculate the remainder when 5/(-2)*j/(-10) is divided by 8.
6
Suppose -17*m - 145 = -22*m. What is the remainder when m is divided by 8?
5
Let k(a) = -6*a - 37. Calculate the remainder when 32 is divided by k(-8).
10
Calculate the remainder when 4*((-2485)/(-20))/7 is divided by 18.
17
Let n = -19 + 28. Let x(m) = 2*m - 4. What is the remainder when 53 is divided by x(n)?
11
Calculate the remainder when 28 is divided by (-94 - 1)/(-5) - 0.
9
Let w(q) = q**3 + q**2 - q + 2. What is the remainder when 68 is divided by w(3)?
33
Suppose 54 = 2*s + s. Calculate the remainder when (-4)/s + (-1340)/(-36) is divided by 10.
7
Let d = 25 - 16. Suppose 5*v = 3*v - 98. Let n = -34 - v. Calculate the remainder when n is divided by d.
6
Let m = 6 + 13. What is the remainder when m is divided by 7?
5
Let v(a) = -a**3 + 2*a**2 + a + 2. Let m be v(2). Suppose m*i - i = 72. What is the remainder when i is divided by 7?
3
Suppose 56 = 4*u - 20. Let a = u + -4. What is the remainder when 43 is divided by a?
13
Suppose 11 = 3*f + 2. What is the remainder when f is divided by 2?
1
Suppose 2*u - s = 107, 3*s - 2*s = -3*u + 158. What is the remainder when u is divided by 14?
11
Suppose i - 98 = -i. Suppose 4*k + i = 189. What is the remainder when k is divided by 18?
17
Let z = -74 - -113. Let u = 8 + 2. What is the remainder when z is divided by u?
9
Calculate the remainder when (12/(-15))/((-14)/1155) is divided by 17.
15
Suppose -39 = -i - 2*i. What is the remainder when i is divided by 5?
3
Let x = -4 - -7. Calculate the remainder when (-9 + x)*57/(-9) is divided by 13.
12
Suppose 0 = 3*h - 82 - 98. Suppose -2*k = -0*u - 3*u - 59, 2*u - 157 = -5*k. Calculate the remainder when h is divided by k.
29
Let y(k) = -k + k + 7 + k**2 - 6*k. Calculate the remainder when 20 is divided by y(6).
6
Let v(q) = q**2 + 3*q - 5. Let m be v(-5). Suppose 0 = -y + 10 - m. Suppose 3*p + 2 - 4 = 2*d, 2*d = 2*p. Calculate the remainde