.
10
Let v(s) = -5*s - 9. Let w be v(-5). Suppose -3*f + w = -f. What is the remainder when 30 is divided by f?
6
What is the remainder when (0/2 + 4)*(32 - 28) is divided by 4?
0
Let s = -7 + 10. Suppose -i + 22 = -0*i - 5*z, -s*i - z = -34. Calculate the remainder when (-86)/(-4) - (-2)/4 is divided by i.
10
Suppose 9*s - 577 = -217. Let h(x) = 14*x**2 + 4 - 4*x - 5 + 3*x. Calculate the remainder when s is divided by h(-1).
12
Let r be ((-2)/4)/(4/16). Suppose 5*d = -2*t - 8, 3*d - 2 = 3*t + 8*d. Calculate the remainder when (r - 24/(-9))*15 is divided by t.
4
Let q = -21 - -40. Calculate the remainder when q is divided by 5.
4
Let l = -3 - -3. Let p = l + 5. Suppose 5*f - 3 = 62. What is the remainder when f is divided by p?
3
Let j = 94 + -37. Calculate the remainder when j is divided by 20.
17
Let n(i) = i**3 - 3*i**2 + 4. Let h be n(4). What is the remainder when 8 is divided by (-6)/(-5)*h/8?
2
Suppose 5*d + 28 = 3*g, 2*g - 16 = 2*d + 4. What is the remainder when ((-41)/1)/(1*-1) is divided by g?
8
Suppose -5*t - 5*u + 100 = 0, 3*t = -4*u + 17 + 39. What is the remainder when t is divided by 9?
6
Let t = 87 + -59. Let h be 1*((-3)/1 - -2). Calculate the remainder when t is divided by (-39)/(-3) - (h + -1).
13
Suppose -28 - 3 = -5*v + 4*m, v - 2*m - 5 = 0. Suppose 2*g - v*g = -55. Calculate the remainder when 20 is divided by g.
9
Let z(y) = -21 + 4*y + 15 - 2*y - 3*y. Suppose 5*n - 35 - 35 = 0. Calculate the remainder when n is divided by z(-10).
2
Let w(m) = 3*m + 16*m - 4*m + 2 + 4*m. Let c be w(2). Suppose u = -0*u + c. Calculate the remainder when u is divided by 14.
12
Let r(f) = f**3 + 8*f**2 + 21*f + 32. What is the remainder when -1 + -2 + 3 - -4 is divided by r(-5)?
0
Let f be 688/56 - 2/7. Suppose -c = c + f. Let h(s) = -s**3 - 6*s**2 - 2*s - 8. What is the remainder when 6 is divided by h(c)?
2
Suppose -4*j + 11 = -3*b, 3*j - 4 = 3*b + 8. Let z(l) = l**3 + 5*l**2 - 2*l + 4. Calculate the remainder when z(b) is divided by 3.
2
Suppose -4*c = -2*c - 10. Let d = -26 - -28. Calculate the remainder when c is divided by d.
1
What is the remainder when (-1)/4 + (-836)/(-16) is divided by 18?
16
Let o(x) = 4*x + 8. Let v(q) = -q - 3. Let t(j) = 2*o(j) + 7*v(j). Let s be t(6). Let i = 0 + s. What is the remainder when i is divided by 1?
0
Let w(v) = 17*v**2 - 5*v - 19. Let y(q) = -8*q**2 + 2*q + 9. Let u(f) = -6*w(f) - 13*y(f). Let g = 35 - 11. Calculate the remainder when g is divided by u(2).
11
Suppose -11 = -z - 4*x, 0 = -2*x + 4. Suppose 3*q + z = 9. Suppose q*t = 4 + 6. Calculate the remainder when t is divided by 2.
1
Let g = 32 - 10. Suppose -g*l = -17*l - 190. Calculate the remainder when l is divided by 10.
8
Suppose -5*x - 3*a = -113, 3*x + 3*a - 67 = 2*a. Let l = -4 + 12. Calculate the remainder when x is divided by l.
6
Suppose r = 2*y + 9, -2*y = -5*r - 45 + 122. Suppose -2*f + 7 + r = 0. What is the remainder when 47 is divided by f?
11
Suppose -5*g + 73 = -2*p, -2*g = -0*g - 2*p - 34. Calculate the remainder when 38 is divided by g.
12
Let a(i) = -i**2 - 13*i - 9. Let t be a(-13). Calculate the remainder when (-31)/(-3) - 6/t is divided by 4.
3
Let o(u) = -u - 1. Let x be o(-6). Suppose 5*q + x*c = -15, 0*q + 3*c = 3*q + 3. Calculate the remainder when 22 is divided by (4/(-10))/(q/60).
10
Let k = -11 - -14. What is the remainder when k is divided by 1?
0
Let c(p) = p**3 + 8*p**2 + 4*p + 17. What is the remainder when c(-6) is divided by 23?
19
Suppose 5*b - 85 = 5*l + 415, -4*l + 90 = b. Calculate the remainder when b is divided by 33.
32
Suppose -401 = -5*u - 186. What is the remainder when u is divided by (1/(-3))/((-1)/69)?
20
Let l = 79 - 46. What is the remainder when l is divided by 7?
5
What is the remainder when (1 + -59)/((-26)/39) is divided by 45?
42
Let k = 193 - 129. Suppose -5*s + k = 9. Calculate the remainder when 30 is divided by s.
8
Suppose 2*v - 5*v = 0. Suppose -4*o = 5*k - 27, v*k - 4*k - 20 = 0. Suppose 5*g - 187 - 63 = 0. What is the remainder when g is divided by o?
11
Suppose 5*v - 4*p - 478 = 0, -5*p - 386 = -5*v + v. Calculate the remainder when v is divided by 19.
18
Let p = -28 + 35. What is the remainder when 25 is divided by p?
4
Suppose 2*n + 12 = 6*n. Let m = 4 + n. Calculate the remainder when 27 is divided by m.
6
Suppose 2*g - 6*g = -24. Calculate the remainder when g is divided by 4.
2
Let n = -2 - -2. Suppose -3*l + 156 = -n*l - 5*w, 5*l - w - 260 = 0. Suppose 0 = 5*h - l - 183. Calculate the remainder when h is divided by 16.
15
Suppose 0 = o - 2*o + 35. Let m = o + -12. Calculate the remainder when m is divided by -1 - 2/((-4)/18).
7
Let i(n) = n**3 - 6*n**2 + 4*n + 3. Let v be i(5). Let x(g) = -25*g + 4. What is the remainder when x(v) is divided by 19?
16
Let m = 104 + -54. Let z = -14 + 31. What is the remainder when m is divided by z?
16
Let u(v) = 10*v**2 - v - 1. Calculate the remainder when 55 is divided by u(-1).
5
Suppose 0 = 3*t + 9, 0 = 3*s + s - 3*t - 485. Calculate the remainder when s is divided by 24.
23
Suppose 0 = 5*w - g - 164, w + 3*g - 20 = -0*w. Let u = 33 + -16. What is the remainder when w is divided by u?
15
Suppose 3 = 6*t - 5*t + 3*x, t + 7 = -5*x. Calculate the remainder when 250 is divided by t.
16
Let t(r) be the third derivative of r**4/12 + 4*r**3/3 + 3*r**2. Let m be t(6). Let s = 40 - m. What is the remainder when 38 is divided by s?
18
Suppose 2*s = -2*s + 92. What is the remainder when s is divided by (-2)/(3 + 13/(-4))?
7
Calculate the remainder when ((-10)/20)/(2/(-276)) is divided by 14.
13
Let y be ((-6)/4)/(6/(-296)). Suppose 0*x = 2*x - y. Suppose 5*j + 2*i = 73, 0*i = j - 2*i - 5. What is the remainder when x is divided by j?
11
Let q = -191 - -291. What is the remainder when q is divided by 34?
32
Let d(z) = -2*z - 2. Let f(q) = 5*q. What is the remainder when d(-8) is divided by f(1)?
4
Let x be ((-4)/(-8))/(3/(-6)). What is the remainder when x/(-4) + (-414)/(-8) is divided by 18?
16
Suppose 3*v = -3*o + 99, v + 3*o = 8*o + 33. What is the remainder when v is divided by 17?
16
Let m(u) = u**3 + 2*u + 90. What is the remainder when m(0) is divided by 23?
21
Suppose -7*j + 26 + 9 = 0. Suppose 6 = -d + 2. What is the remainder when (-39)/(-6)*d/(-2) is divided by j?
3
Let g = 11 - 0. Suppose -m - 114 = -2*c - 47, -5 = m. Calculate the remainder when c is divided by g.
9
Suppose 0 = 4*b + 7 - 83. Let n(g) = 16*g**3 - g**2 - 1. Let j be n(2). Let i = j - 67. Calculate the remainder when i is divided by b.
18
Let z = 82 + -54. What is the remainder when z is divided by 10?
8
Let o(n) = n**2 + 11*n + 10. Let j be o(-11). Let y = 17 - j. What is the remainder when 23 is divided by y?
2
Let s = -8 + 75. What is the remainder when s is divided by 35?
32
Suppose 3*d = -5*b + 30, -2 = d + 4*b - 19. What is the remainder when 89 is divided by (-4)/d + 714/30?
20
Suppose 14 = -2*v + 3*v. Let m(k) = 14*k - 6. Let x(y) = 5*y - 2. Let l(g) = 4*m(g) - 11*x(g). Calculate the remainder when v is divided by l(7).
4
Suppose 0 = x - 9. What is the remainder when ((-25)/(-5))/(2/10) is divided by x?
7
Let c(p) = 5*p**2 - 7*p + 6. Let v be c(5). Let x = v - 58. Calculate the remainder when x is divided by 10.
8
Let w = -171 - -339. Let b = -94 + w. Suppose -3*z - 5*f + 94 = 0, -3*z = -4*f - f - b. Calculate the remainder when z is divided by 10.
8
Let c = -3 - -7. Calculate the remainder when 9 is divided by c.
1
Suppose 2*s - 4*f = -16, -12 = -s - s - 3*f. Suppose -p + 3*y + s*y = -76, 3*y + 3 = 0. What is the remainder when p is divided by 15?
13
Suppose -3*z + 64 = 5*q, -2*z + q + 44 = 5*q. Calculate the remainder when 33 is divided by z.
15
Let a be ((-2 - 49)/3)/(-1). Suppose -5*h + a = -4*h. Suppose 0 = -5*b + h + 33. What is the remainder when 28 is divided by b?
8
Suppose -d = -2*d + 2. Suppose d*l = -t - t + 26, 3*l = 5*t + 15. Suppose -2*i + 40 = 2. Calculate the remainder when i is divided by l.
9
Let p = 42 + -19. Let k be (4/(-3))/((-2)/3). Suppose -2*v = k*s - 18, -3*s = -2*v + 4 - 26. Calculate the remainder when p is divided by s.
7
Suppose -60*w - 24 = -62*w. What is the remainder when w is divided by 7?
5
Suppose 6*t - 1051 = -403. Calculate the remainder when t is divided by 55.
53
Let r(u) = u. Let b be r(3). Suppose 0 = 4*s + b - 1