33. What is the remainder when f is divided by 4?
3
Let q = 16 - -10. Suppose p - x - 4*x - 29 = 0, -4*p + 41 = 5*x. What is the remainder when q is divided by p?
12
Suppose 2*z + 0*z = 8. Suppose -11 = -4*l + 9. What is the remainder when l is divided by z?
1
What is the remainder when ((-202)/10 - -1)/((-37)/185) is divided by 25?
21
What is the remainder when 106 is divided by (-411)/(-15) + (-8)/20?
25
Suppose -2*q = -4*q - 4. Let t be 6/((2/q)/1). Calculate the remainder when 2/t + (-242)/(-6) is divided by 14.
12
Let a(t) = t + 8. Let m be a(-6). Let k = 40 - 28. Suppose -m*n + k = -0*n. What is the remainder when 10 is divided by n?
4
Suppose 0 = -5*w + 3*b + 51, w + 2*w + 5*b - 51 = 0. Calculate the remainder when w is divided by 7.
5
Let t(d) = 5*d + 7. Let q be t(-5). Calculate the remainder when 23 is divided by (q/12)/((-1)/8).
11
Suppose 5*u = -2*a + 18, -3*u - 4*a = -0*a - 22. Suppose 33 = 3*m + u*l + 182, 0 = 5*m + l + 253. Calculate the remainder when 33 is divided by (-4)/6*m/2.
16
Let z(t) = -t + 2. Let f be z(0). Suppose f*g - 1 = 19. Calculate the remainder when 17 is divided by g.
7
Let y(t) = -t**3 + 8*t**2 - 11*t. Let q(m) = 5 - 1 - 3 + m. Let c(k) = 6*q(k) + y(k). Calculate the remainder when c(7) is divided by 11.
9
Let u(m) = -7*m**2 - m + 5. Let f(h) = -h**2 - h + 1. Let z(l) = 3*f(l) - u(l). Calculate the remainder when 28 is divided by z(2).
8
Let n(b) = -2*b + 53. Let o be n(0). Suppose -5*l + o = -17. Calculate the remainder when l is divided by 4.
2
Let a be (-15)/(-6) - (-2)/4. Suppose 4*y - 3*q - 11 = 2*y, 3*y = -a*q + 54. What is the remainder when y is divided by 7?
6
Let r = 0 - 1. Let w = r + 10. Calculate the remainder when 16 is divided by w.
7
Suppose 3*t - 30 = -5*i, 0*t + 4*i - 2 = 2*t. Suppose 3*c + 33 = -2*o + t*o, 0 = 2*o + 4*c - 22. Calculate the remainder when 30 is divided by o.
8
Let t(w) = 7*w**3 - 16*w**2 + 4*w - 1. Suppose -3*b + 47 = 5*l, 3*l - 31 = -4*b + 39. Calculate the remainder when t(3) is divided by b.
18
Suppose 4*j - 5*r = 5*j - 74, -4*r - 12 = 0. Calculate the remainder when j is divided by 33.
23
Let w = -98 + 163. Suppose -3*j = -4*i + 448, -j = 2*i - w - 159. Suppose -b - i = -5*l + 2*b, 3*b + 20 = l. What is the remainder when l is divided by 8?
7
Suppose i - 3*i = g - 14, -2*g = 5*i - 27. Let q(m) = 8*m - 1. Suppose -4*r = -6 - 10. Calculate the remainder when q(r) is divided by g.
15
Suppose -76 = g - 5*g. What is the remainder when g is divided by 11?
8
Let w = 21 + -4. Let y(v) = -v**3 - 7*v**2 - 5*v - 3. Calculate the remainder when y(-7) is divided by w.
15
Suppose 0 = 3*r + 1 - 16. Suppose -v - 1 = -10. Calculate the remainder when v is divided by r.
4
Suppose -3*t = 2*q - 12, 17 = 3*q + 2*q + t. Let i be (-56)/(-3) + q/9. Calculate the remainder when (i/4)/(3/12) is divided by 11.
8
Let b = 0 + 0. Suppose b = -c - 9 + 39. What is the remainder when c is divided by 16?
14
Let f(n) = n**2 + 3*n - 5. What is the remainder when 24 is divided by f(-5)?
4
Let p(c) = -c + 22. What is the remainder when 23 is divided by p(9)?
10
Let l(c) = -2*c**3 - c**2 + 3*c - 3. Let o be ((-8)/(-12))/((-2)/(-6)). Let z be l(o). Let x = 31 + z. Calculate the remainder when x is divided by 5.
4
Let l(d) = -d + 12. What is the remainder when 74 is divided by l(-3)?
14
Let b(f) = -f**2 + 5*f - 4. Let h be 2/((-7)/((-21)/2)). Let d be b(h). What is the remainder when 11 is divided by (d - 3/6)*2?
2
Suppose -82 = -4*s + 2*s. Calculate the remainder when s is divided by 14.
13
Suppose 3*d + 3*k = 30, 4*k = 3*d - 2*d - 5. Calculate the remainder when 40 is divided by d.
4
Suppose -4*q + 11 = 3. Suppose 2*y + q*l - 9 = y, 0 = -5*y + l + 45. What is the remainder when (-11)/(-33) - 104/(-3) is divided by y?
8
Let q(g) = -g - 8. Suppose 0 = 5*z + 20 + 15. Let i be q(z). Calculate the remainder when 13/2*i*-2 is divided by 5.
3
Let n = 12 - 10. Let s = n - -8. What is the remainder when 36 is divided by s?
6
Suppose 4*v + 20 = 9*v. Calculate the remainder when 10 is divided by v.
2
What is the remainder when 24/10*30/12 is divided by 4?
2
Suppose 131 = 5*w + o - 0*o, -4*w - 4*o + 92 = 0. Calculate the remainder when w is divided by 48/5 - 2/(-5).
7
Suppose 0 = -h - s + 5, 3*s = h - 5*h + 21. Calculate the remainder when 16 is divided by h.
4
Suppose 4*p = 3*p + 4. Suppose 0 = -x - 2 + p. Suppose g = -x*g + 96. Calculate the remainder when g is divided by 11.
10
Let w = -37 - -152. What is the remainder when w is divided by 29?
28
Let i = 82 - 19. Calculate the remainder when i is divided by 32/10*(-5)/(-1).
15
Let r = 59 - 32. Calculate the remainder when r is divided by 14.
13
What is the remainder when 5 is divided by 18/8 + 6/8?
2
Suppose -4*n = -0*c + 2*c - 60, 4*c - 60 = 4*n. Calculate the remainder when 97 is divided by c.
17
Suppose -3*y + 38 = f, -y + 5*f - 22 = -2*y. What is the remainder when 59 is divided by y?
11
Let p = -35 + 64. What is the remainder when p is divided by 6?
5
Let d = 14 - 4. Calculate the remainder when 16 is divided by d.
6
Suppose 13 - 139 = -2*x. Suppose -9*i = -12*i. Suppose 0 = -2*d - i*d + 32. Calculate the remainder when x is divided by d.
15
Suppose -i + 1 = -7. What is the remainder when 15 is divided by i?
7
Let t(c) = -5*c. Suppose -8*g + 3*g = -40. What is the remainder when t(-6) is divided by g?
6
Let g(f) = 19*f**2 + 3*f + 1. What is the remainder when g(-1) is divided by 5?
2
Let i(q) = -q**2 + 3*q - 1. Suppose -2*k - 4 = 2*w - 4*k, -5*k + 12 = -4*w. Let x be i(w). What is the remainder when (x - -32)/(-3 - -4) is divided by 12?
9
What is the remainder when 69 is divided by -9*((-5 - -9) + -6)?
15
Suppose -9*t - 11 = -128. Let p be 4/(-18) - (-22)/18. What is the remainder when t is divided by 2*p/2 - -6?
6
Suppose -2 = 2*v + 3*r + 1, -5*v + 4*r + 4 = 0. Let c = v + 14. Suppose -5*u + c = -3*u. Calculate the remainder when u is divided by 2.
1
Let m be (2 - 2)/(-3) + -6. Let g = m - -17. What is the remainder when 43 is divided by g?
10
Suppose 130 = 3*u + 4*i - 2*i, 0 = 3*u - 3*i - 135. Calculate the remainder when u is divided by 17.
10
Let n(o) = -2*o - 4. Let x(t) = -7*t - 12. Let s(q) = -8*n(q) + 3*x(q). What is the remainder when s(-3) is divided by 3?
2
Let n be 66/(-4)*(-8)/6. Calculate the remainder when 21 is divided by -1*2*n/(-4).
10
Let j = 87 - 14. Let w be 15/((6/28)/1). Suppose -4*q = 4*m - 120, -3*m = -5*q + w + 40. What is the remainder when j is divided by q?
23
Suppose 2*p = 4*p + 3*i - 30, 3 = -p + 3*i. Calculate the remainder when p is divided by -4*3/6*-3.
3
Let m(c) = -c**2 - c + 15. Let d(p) = -p**3 + 7*p**2 - p - 3. Calculate the remainder when d(5) is divided by m(0).
12
Suppose 5*v = 28 - 8. Suppose 3*x + 0 = 2*n + 8, -v*x = -n - 14. Suppose -k + 5*k - 24 = -2*o, -o + 2*k - 8 = 0. What is the remainder when x is divided by o?
0
Let d(z) be the first derivative of 2 + 1/3*z**3 + 1/2*z**2 + z - 2*z**4. What is the remainder when 17 is divided by d(-1)?
8
Let f(j) = 7*j**2 + j - 3. Suppose 0*l - 16 = -2*l. Calculate the remainder when f(-2) is divided by 2/l + (-47)/(-4).
11
Let b be (-6)/15 - 124/(-10). Let l be 129/(-6) - (-12)/8. Let u = b - l. Calculate the remainder when u is divided by 17.
15
Suppose -11 = 6*l - 7*l. Calculate the remainder when l is divided by 3.
2
Suppose -2 - 4 = -2*y. Suppose y*s - 11 = 16. Calculate the remainder when 35 is divided by s.
8
Let n(s) = -5*s - 3. Let d(p) = -20*p - 12. Suppose 2*o + 27 = -o. Let w(t) = o*n(t) + 2*d(t). Calculate the remainder when w(5) is divided by 10.
8
Let m = -17 - -36. What is the remainder when m is divided by 184/18 - (-4)/(-18)?
9
Calculate the remainder when 24 is divided by (-1 - 3/1) + 17.
11
Suppose 44 = 2*i + 2*i. What is the remainder when 86 is divided by i?
9
Suppose 3*f = 3*a - 63, -a + 5*a - 99 = f. Calculate the remainder when a is divided by 7.
5
Suppose d - 4*d - 4*j + 18 = 0, -12 = -2*d - 3*j. What is the remainder when 21 is divided by d?
3
Suppose -23 = -4*a + 113. Let k(d) = -6*d. Calculate the remainder when a is divided by k(-3).
16
Let k = -4 + 42. Suppose -117 = -8*v - v. Calculate the remainder when k is divided by v.
12
Let f(d) = -d**3 + 4*d**2 + 4*d + 7. Let o be f(5). Suppose -4*a - 2*l + 47 = -l, -a + o*l + 23 = 0. What is the remain