. Calculate the remainder when f is divided by 4.
3
Suppose -2*s - 3*n = n + 30, -s = -3*n. Calculate the remainder when (-177)/(-2)*4/6 is divided by (15/s)/((-2)/24).
19
Suppose 14 = 2*a - 6. Let d = -96 + 169. What is the remainder when d is divided by (28 - a) + 2 + -1?
16
Suppose -5*g = 3*q - 186, -5*g + q + 174 = -2*q. What is the remainder when g is divided by 13?
10
Suppose -5*t - 2*y + 6*y - 61 = 0, -12 = t - y. Let f = t - -25. Let j = 28 - 5. Calculate the remainder when j is divided by f.
11
Suppose 2*z = 3*z. Suppose z = 4*l - 2*w - 110, w - 4*w = 3. Let x = l - -9. What is the remainder when x is divided by 19?
17
Let s = -28 + 16. Let x(r) = r**2 + 11*r - 2. Let a(m) = 20*m**2 + m. What is the remainder when a(-1) is divided by x(s)?
9
Suppose -6*p + 3*p + 5*g + 131 = 0, p - 49 = -g. Suppose 3*q - p = -11. Calculate the remainder when 21 is divided by q.
9
Let s(k) = -k**3 - 10*k**2 + 7*k - 9. What is the remainder when s(-11) is divided by 6?
5
What is the remainder when 43 is divided by (-7)/((-7)/8) - -1?
7
Let t(s) = -2*s + 14. Let p = 155 - 79. Calculate the remainder when p is divided by t(-6).
24
Suppose 105 = 5*a - 135. Suppose -a = -3*t - 3*u, 0 = -u + 4*u - 3. Calculate the remainder when t is divided by 6.
3
Suppose -3 = -3*l + 39. Suppose 2*n - l = -0*n. Calculate the remainder when n is divided by 3.
1
Let g(x) = -2*x + 64. What is the remainder when g(11) is divided by 23?
19
What is the remainder when 58 is divided by 2/(1/(-30)*-3)?
18
Let g(y) = 7*y - 53. What is the remainder when g(20) is divided by 22?
21
Let k(h) = h**3 - h**2 - h + 9. Let s be (-1)/(-4) - (-4)/(-16). Calculate the remainder when 16 is divided by k(s).
7
Suppose 3*n - 1875 = -4*f, -2*n + 1265 = 3*f - 142. What is the remainder when f is divided by 59?
58
Suppose -g + 12 = -0*g. Calculate the remainder when ((-200)/g)/((-4)/6) is divided by 9.
7
Let w(f) = f**3 + 6*f**2 + 8*f + 1. What is the remainder when 10 is divided by w(-3)?
2
Suppose -2*v + 4*v - 60 = 0. Suppose 0*a + 17 = a + 3*z, 2*a + 4*z = 26. Suppose -8*r + 48 = -a*r. Calculate the remainder when v is divided by r.
14
Calculate the remainder when ((-186)/4)/(-6 - 77/(-14)) is divided by 24.
21
Let j = -83 + 142. What is the remainder when j is divided by 20?
19
Let t(q) be the second derivative of q**3/2 + q**2 - q. Calculate the remainder when t(8) is divided by 29/3 + 6/(-9).
8
Let k(c) = 2*c**2 + 2*c - 2. Let f be k(-2). Suppose -38 = -f*z + 5*a - a, z = -2*a + 27. Calculate the remainder when z is divided by 3/(-6)*2*-8.
7
Let i = -45 - -18. Let p = -5 - i. Calculate the remainder when p is divided by 12.
10
Suppose -86 = -9*q + 22. What is the remainder when 34 is divided by q?
10
Let t = 30 - 25. Calculate the remainder when 5 is divided by t.
0
Suppose -3*j = j - 60. Suppose -4*c = c - j. What is the remainder when 5 is divided by c?
2
Suppose p - 20 = -4*r, -3*r = -2*p - 0 - 4. Let u(x) = x**3 - 5*x**2 + 1. Let m be u(p). What is the remainder when 5*((-66)/m - 2) is divided by 5?
2
Suppose 0 = 5*s + 4*f - 451 - 91, -120 = -s + 5*f. Let c = s - 154. Let q = c + 79. What is the remainder when q is divided by 12?
11
Suppose -u + 5*u - 1 = -5*s, -2*s = 6. Suppose -u*f - 3*t = -2*t - 4, t - 2 = -2*f. What is the remainder when f + (-3)/(6/(-68)) is divided by 18?
17
Let t(p) = 7*p - 14. Calculate the remainder when 23 is divided by t(3).
2
Suppose 5*d - 2*n - 5 = -65, 60 = -5*d - n. Let p = -8 - d. Suppose -2*f - 38 = -p*h, 6*h - 3*f = h + 46. What is the remainder when 21 is divided by h?
10
Let a = 3 - 3. Suppose q + q - 2 = a. What is the remainder when (-16)/(-7) - 2/7 is divided by q?
0
Suppose 68 = 6*y - 2*y. Calculate the remainder when 62 is divided by y.
11
Let h(b) = -b**3 - 3*b**2 + 3*b - 1. Let g be (-3)/(2 - -1) - -8. Suppose 0 = -w + 3*p - g, 5*p = w + w + 10. What is the remainder when w is divided by h(-4)?
2
Calculate the remainder when 18 is divided by (8/(-24))/(2/(-42)).
4
Suppose 5*x = 14 + 41. Suppose 9 = 2*p - x. What is the remainder when 18 is divided by p?
8
Suppose 19 + 23 = 2*l. What is the remainder when 60 is divided by l?
18
Suppose -q = 3*p + 4, q + 3*p + 8 = -p. Suppose 3*l + 1 = 13. Suppose -q - l = -g. Calculate the remainder when 22 is divided by g.
10
Let z(o) = o**2 - 1. Let f be z(-2). Suppose 6 = f*m - 0. Suppose -w = m*w - 39. Calculate the remainder when 25 is divided by w.
12
Let x(u) = -4*u + 20. Let c(n) = -7*n + 39. Let v(w) = 3*c(w) - 5*x(w). Let q = 6 + 3. What is the remainder when v(0) is divided by q?
8
Suppose -y - m - 5 = -5*m, 2*y - 5*m = -1. What is the remainder when y is divided by 10 - (3 - (-3)/3)?
1
Suppose 0 = 7*d + 273 - 938. Calculate the remainder when d is divided by 16.
15
Let d(y) = -y**2 + 5*y + 4. What is the remainder when 19 is divided by d(5)?
3
Let s = 18 + 6. Suppose -6*f + 8*f - s = 0. Calculate the remainder when f is divided by 7.
5
Suppose -12*g = -9*g - 117. What is the remainder when g is divided by 10?
9
Let t(o) = -o - 1. Let j be t(-5). Suppose -5 = -3*c + 5*a, 6*c - j*c - 2*a - 6 = 0. Suppose 2*q = c + 7. What is the remainder when 11 is divided by q?
5
Suppose -v = 4*s - 20, -4*v = s - 40 - 40. Let z(b) = 11*b - 8. What is the remainder when z(6) is divided by v?
18
Let w(z) = 8*z - 20. What is the remainder when w(9) is divided by 11?
8
Let y = 1 - -5. Let i(t) = t**2 - 5*t + 6. Suppose -15*w + 3 + 327 = 0. What is the remainder when w is divided by i(y)?
10
Let c(r) = 6*r - 8. Calculate the remainder when c(5) is divided by 7.
1
Let q(j) = -j**3 - 8*j**2 - 9*j. What is the remainder when q(-7) is divided by 8?
6
Suppose 5*c - 215 = 80. What is the remainder when c is divided by 16?
11
Suppose 3*g + 5 - 2 = 0. Let y = 3 + g. Suppose -j = 4, -8*t + 3*t + 2*j = -23. Calculate the remainder when t is divided by y.
1
Let p(w) be the third derivative of -w**5/60 - 7*w**4/12 - w**3 + w**2. Let y = -15 - -8. What is the remainder when p(y) is divided by 15?
13
Suppose 5*r + 344 - 117 = 3*z, 312 = 4*z - 2*r. Suppose 5*k = 3*j + 117, -3*k + 6*k = 4*j + z. What is the remainder when -1 + 3/((-3)/(-62)) is divided by k?
19
Suppose 5*a + 128 = -3*y, 3*y + 13 + 31 = -2*a. Let t = -17 - a. Suppose -2*d = -5*z + 28, 0*z + 3*z + 3*d = 21. Calculate the remainder when t is divided by z.
5
Suppose q = -2*q + 87. Suppose -3*b - b = -60. Calculate the remainder when q is divided by b.
14
Let h be 4*(0 - (-49)/(-4)). What is the remainder when (14/h)/(2/(-14)) is divided by 1?
0
Suppose -3*i = -54 - 15. Calculate the remainder when 61 is divided by i.
15
What is the remainder when 71 is divided by 6/(-54)*3*(-58 + 1)?
14
Let u(w) = 2*w**2 + 4. Suppose 2*z = 5*a + 26, -4*z = -5*z - 3*a + 13. What is the remainder when u(4) is divided by z?
10
Let r be (-1 - 0)*(-2 + -1). Suppose -r*q + 53 = -49. What is the remainder when q is divided by 12?
10
Suppose 710 = 4*i - 3*f, -4*i + 923 - 203 = 2*f. What is the remainder when i is divided by 26?
23
Let y(v) = -7*v + 1. Let n be y(-4). Suppose -3*c + n = 2*r, -2*r + 2 = -0. What is the remainder when c is divided by 4?
1
Let c(w) = -w**3 - 6*w**2 - 6*w + 3. Let f be c(-5). Let o = f - 5. Calculate the remainder when 4 is divided by o.
1
Let z = 165 + -154. What is the remainder when 51 is divided by z?
7
Let n be -9 - (-1 + -1 + -1). Let t = n + 9. Suppose 7*b = 2*b + 40. What is the remainder when b is divided by t?
2
Suppose 12 = 10*i - 6*i. Suppose -81 + 35 = -k - 2*z, -2*k - i*z + 88 = 0. What is the remainder when k is divided by 13?
12
Let j be 0 + -264*(2 - 0). What is the remainder when 38 is divided by 4/10 - j/55?
8
Let a be 2*(5/(-2) - -3). Calculate the remainder when 44 is divided by 16 + (0 - (0 + a)).
14
Suppose 4*i - i - 147 = -3*y, 5*i = -y + 241. Calculate the remainder when i is divided by 10.
8
Let g = -18 - -67. Let y(m) = -m**3 - 3*m**2 + 6*m - 3. Calculate the remainder when g is divided by y(-5).
15
Suppose -50 = -4*t - t. Calculate the remainder when t is divided by 3.
1
Suppose -5*j - 10*j = -1740. What is the remainder when j is divided by 39?
38
Suppose 0 = 5*x - 54 - 426. Calculate the remainder when x is divided by 25.
21
Suppose -5*w = 4*b - 163, w + 105 = 3*b - w. Let i = -2 + 2. Suppose i = 5*y - 91 - 4. What is the remainder when b i