4.
23
Let f = -12 - -16. Suppose 7*g = 2*y + 2*g - 24, -f*g - 36 = -3*y. Calculate the remainder when 47 is divided by y.
11
Let q(o) = -41*o - 1. Let h(n) = -2*n**2 + 4*n - 1. Let j be h(-3). Let s = 52 + j. Calculate the remainder when q(-1) is divided by s.
19
Suppose -2*r = 4*j - 40 - 80, -5*r + 260 = 2*j. Calculate the remainder when 148 is divided by r.
48
Suppose 4*s + 0*s = 156. What is the remainder when s is divided by 14?
11
Let b = 2 + 0. Let c(d) = 1 - 13*d - 7*d**b + 5*d + d**3 + 8. What is the remainder when 26 is divided by c(8)?
8
Let i = 47 - 24. Calculate the remainder when (-948)/(-14) - 4/(-14) is divided by i.
22
Suppose 62*d - 55*d = 203. Calculate the remainder when d is divided by 5.
4
What is the remainder when 14 is divided by (-258)/(-54) + 7/(-9) + 1?
4
Let x(q) = 2*q**2 - q + 1. What is the remainder when x(-5) is divided by 29?
27
Calculate the remainder when 11 is divided by (1 - (0 - 3))/1.
3
Let f(p) = -3 + 2*p**2 - p**2 - 1 - 4*p + 0*p**2. Let v be f(5). Let q = 5 - v. What is the remainder when 7 is divided by q?
3
Suppose -2*x + 3*o - 75 = -4*x, -3*o - 60 = -x. Calculate the remainder when x is divided by 24.
21
Let u = 25 + -11. Calculate the remainder when u is divided by 4/(0 - 1*-1).
2
Suppose q = 0, 3*y - 33 + 0 = q. Suppose 3*b - 6*b = -54. Calculate the remainder when b is divided by y.
7
Let y(w) = 8*w**2 + 4*w + 2. Let r be y(-2). Calculate the remainder when r*((-2)/(-4))/1 is divided by 5.
3
Suppose -h - g = -19, -6*h + 106 = -2*h - 2*g. Calculate the remainder when h is divided by 13.
11
Let g(k) = 38*k**2 - 5*k - 6. What is the remainder when g(-1) is divided by 6/(-3) - (-11 - -1)?
5
Let q = -4 - -7. Suppose 2*x = q*w - 41, 0*w + 2*x = -2*w + 14. Calculate the remainder when 31 is divided by w.
9
Let f(b) = -b**3 + 5*b**2 - 2*b - 4. Let p be f(5). Suppose -4*d - 67 = -5*r, 58 = 3*r + r - d. What is the remainder when p/7 - (-29 + 0) is divided by r?
12
Let d = 290 - 184. Calculate the remainder when d is divided by 27.
25
Let c = -5 - -11. Calculate the remainder when 17 is divided by c.
5
Let m(p) = p**2 + 2. Calculate the remainder when 31 is divided by m(3).
9
Suppose -9*c = -5*c - 8. Suppose 2*b + c*b - x - 23 = 0, -b + 12 = x. Let z = 28 - b. What is the remainder when z is divided by 6?
3
Suppose 5*w = 224 + 31. Calculate the remainder when w is divided by 26.
25
Let k = 11 + 20. Suppose 4*h + 3 = -q + 2*h, 0 = 2*q + 3*h + 2. Let g = q + 6. What is the remainder when k is divided by g?
9
Suppose c - 4*m - 30 = -6*m, 2*m + 14 = c. Suppose 0 = 28*w - 25*w - 129. Calculate the remainder when w is divided by c.
21
Let o(k) = -k**3 - 6*k**2 - k + 3. Suppose 1 = -f - 5. What is the remainder when 17 is divided by o(f)?
8
Let l(c) = c**2 + 2*c - 16. Let x = -1 - 0. Calculate the remainder when x/(2*(-1)/110) is divided by l(-7).
17
Let t(v) = 5*v**3 - 2*v - 2*v**2 + 0*v + 3*v**2 + v. Calculate the remainder when t(1) is divided by 3.
2
Let d(y) = -3*y**3 - y**2 + 3. Let l be d(-6). What is the remainder when l/9 - 2/(-3) is divided by 24?
21
Suppose 0*w - 30 = -w - 3*p, -5*w + p + 86 = 0. Suppose -5*l = -17 - w. Let f(u) = 6*u. What is the remainder when f(2) is divided by l?
5
Let a(t) = 8*t**2 + 2*t + 4. Let v be a(-3). Suppose f = -2*h + 32, -3*h + v = h - f. What is the remainder when 49 is divided by h?
15
Suppose -6*i - 51 + 147 = 0. Let n = -1 + 2. What is the remainder when n/(1/27) + 2 is divided by i?
13
Let c(b) = b**2 - b + 38. What is the remainder when c(0) is divided by 8?
6
Let o = 68 + -22. Let s = 61 - 45. Calculate the remainder when o is divided by s.
14
Suppose 4*k = 152 - 32. What is the remainder when 87 is divided by k?
27
Suppose -5*r = -4*f - 10*r + 50, -f - 3*r = -16. Suppose -6*x = -8*x + f. Calculate the remainder when x is divided by 2.
1
Let p(k) = 9*k - 6*k**2 + 0 - k**2 - 2*k**2 + 6 + k**3. Calculate the remainder when 53 is divided by p(8).
11
Let l(w) = 2*w**3 - 7*w**2 + 7*w - 5. What is the remainder when 154 is divided by l(4)?
37
Suppose 1 - 11 = -5*k. What is the remainder when k is divided by 2?
0
Let t be (-5 + 9)*(-3)/(-2). Suppose -3*i = 5*l - 53, 2*l + t*i - 6 = i. What is the remainder when 24 is divided by l?
11
Suppose 4*x = -3*s + 15, 20 = -2*s + 6*s - 2*x. Suppose 2*h - s*c - 15 = 0, 2*h + 2*c - 25 = -3*c. Calculate the remainder when 29 is divided by h.
9
Let q = -5 - -15. Suppose -3*p + 12 = -4*p. Calculate the remainder when q is divided by (p/(2/1))/(-1).
4
Let a = -17 + 37. Let r = -10 + a. Calculate the remainder when (-1)/(-6) - 173*(-2)/12 is divided by r.
9
Let h be 2 - 6/(-1 + -1). Suppose -2*b - q = -5*b + 7, -h*q - 7 = -b. Suppose -l - 3 = 4*k - 0*k, 2*l = -2*k. Calculate the remainder when b is divided by l.
0
Let n be 2 + 0 + 2 + -2. Let k be 262/(3 + 1 - n). Suppose 0 = -4*j - 3*z + k, 7*j - 3*j + z - 129 = 0. Calculate the remainder when j is divided by 11.
10
Suppose 3*g - 20 - 9 = -4*a, -2*g = 3*a - 23. Suppose -84 = -b - 3*b. Calculate the remainder when b is divided by a.
10
Let x(m) = m**2 - 7*m - 10. Calculate the remainder when x(-5) is divided by 13.
11
Let u(l) = -6*l - 20. Let b(r) = r**3 + 4*r**2 + 5*r + 3. Let q be b(-3). Calculate the remainder when u(-7) is divided by (-25)/q - 1/3.
6
Suppose 43 + 59 = i. What is the remainder when i is divided by 35?
32
Suppose -c + 4 - 2 = 0. Suppose 1 = 3*f - 5*y, 0 = f + 3*y - 19. Suppose 0 = c*k - f*k + 100. What is the remainder when k is divided by 7?
6
Let s(q) = -q**2 - 9*q - 1. Let i(x) = -2*x + 7. Let n be i(7). Let m = -53 - -90. What is the remainder when m is divided by s(n)?
11
Let v = 31 - -68. What is the remainder when v is divided by 20?
19
Let w(x) = -13*x - 31. Calculate the remainder when w(-7) is divided by 31.
29
Calculate the remainder when 254 is divided by (-22 - -28)*17/2.
50
Let c(y) = -2*y**3 - 4*y**2 - 4*y - 1. Calculate the remainder when c(-2) is divided by 5.
2
Let x(i) = -6*i - 5. Suppose -4*f + 10 = -9*f. What is the remainder when x(-3) is divided by (f - 1)*10/(-6)?
3
Let l = 8 + -6. Suppose 25 = l*z - 7. Let s = -18 - -24. Calculate the remainder when z is divided by s.
4
Let m be (-168)/(-4) - 15/5. Suppose -s + 16 = 4*j, 0 = 3*s - 0*j + 3*j - m. Calculate the remainder when 8/12 + 272/6 is divided by s.
10
Let q(y) be the second derivative of -59*y**5/20 - y**4/12 - y**3/3 - y**2/2 - 2*y. What is the remainder when q(-1) is divided by 15?
14
Suppose 0 = s - 6 - 14. Suppose -3*d = 2*j - 89, 0*d - s = -4*d. Suppose 3*r = 49 - 10. What is the remainder when j is divided by r?
11
Suppose -10*t = -328 - 1122. Calculate the remainder when t is divided by 37.
34
Let t(h) = 4*h + 17. What is the remainder when t(12) is divided by 17?
14
Let g(w) = -w. Suppose -9 = m - 0*m. Calculate the remainder when 17 is divided by g(m).
8
Let g(p) be the second derivative of 2*p - 1/6*p**3 + 0 - 3*p**2 + 1/20*p**5 + 2/3*p**4. What is the remainder when 4 is divided by g(-8)?
0
Let h = 34 - 13. Calculate the remainder when 77 is divided by h.
14
Calculate the remainder when -1 + 0/(-2) + 3 is divided by 12/(-108) + 20/18.
0
Suppose u + 2*b - 9 = -2*b, -5*b = -4*u + 15. What is the remainder when 63 is divided by -2 + u + 57/3?
19
Suppose -3 + 25 = 5*m - 3*h, -4*h + 29 = 5*m. Suppose 62 = 3*c - 5*r, -m*c - r + 66 = -0*r. What is the remainder when 40 is divided by c?
12
Let b = 2 - -1. Let i = 7 - b. Calculate the remainder when 1 + -3 + (-2 - -14) is divided by i.
2
Suppose -4*y + 6 = -7*y. Let p = y - -4. Let b(m) = m**3 - 2*m + 3. Calculate the remainder when 20 is divided by b(p).
6
Suppose 5*d + 4 = 6*d. Suppose 4*t - 35 = 2*s - s, -d*t - 5*s + 41 = 0. What is the remainder when 35 is divided by t?
8
Let f = -1 - 1. Let j be (15/6)/((-1)/f). Suppose 0*u + 40 = j*u. Calculate the remainder when 14 is divided by u.
6
Let t(h) = h**3 + 5*h**2 + 1. Let j be t(-6). Let z be 1/(-3) - j/15. Suppose -3 + 97 = z*m. What is the remainder when m is divided by 24?
23
Let z = 23 + -6. What is the remainder when 48 is divided by z?
14
Suppose -4*x = z + 26, -3 + 13 = -2*x. Let i = z - -9. Suppose 0 = -i*p - 0*p + 33. Calculate the remainder when p is divided by 6.
5
Suppose 25 = 5*i, -33 = -x + i - 0*i. Let q = -33 + 75. Suppose q - 2 = 2*k. What is the remainder when x