Calculate the remainder when 57 is divided by y.
26
Suppose 28 = 24*z - 22*z. Calculate the remainder when z is divided by 5.
4
Let y(p) = p**2 + 11*p + 16. Let z = 26 - 37. Calculate the remainder when 46 is divided by y(z).
14
Let j(p) = -p**3 + 7*p**2 - p + 8. Let b(a) = a**3 - 7*a**2 - 8. Let n(w) = 5*b(w) + 6*j(w). What is the remainder when 23 is divided by n(6)?
7
Suppose 36*u + 14 = 38*u. Calculate the remainder when 17 is divided by u.
3
Let o(t) = -66*t - 7. What is the remainder when o(-2) is divided by 32?
29
Calculate the remainder when 48 is divided by (1/(-3))/((-19)/570).
8
Let f = 352 - 162. Suppose -4*y - f = y. What is the remainder when (-2)/((-16)/y)*-4 is divided by 10?
9
Let k(j) = -6*j**3 - j**2. Suppose 3 = -3*d + g, 4*g + 0*g + 22 = -5*d. Calculate the remainder when (-17)/d + 1/2 is divided by k(-1).
4
Suppose -13*c = -10*c - 15. What is the remainder when 43 is divided by c?
3
Let m be ((-8)/3)/((-2)/6). Let k(a) = 2*a**2 - 11*a + 2. What is the remainder when k(m) is divided by 11?
9
Let i(r) = r**2 + 1. Calculate the remainder when 50 is divided by i(5).
24
Suppose 0*r = -5*r + 80. Suppose 2*d = -4*f - 2, f = 4*f + 15. What is the remainder when r is divided by d?
7
Let l(g) = -g**2 + 5*g + 7. Let c be l(7). Let h = 23 + c. Calculate the remainder when 44 is divided by h.
12
Let j(w) = 11*w - 3. Let o(x) = -17*x + 5. Let r(b) = 8*j(b) + 5*o(b). Let y be (6*(-2)/3)/(-2). What is the remainder when r(y) is divided by 3?
1
Let x(s) = 27*s + 19. What is the remainder when x(5) is divided by 31?
30
Let w be 2/(3 + -5)*-8. Suppose 0 = -2*n + w + 18. Calculate the remainder when n is divided by 8.
5
Suppose a = 0, -3*a + 7*a = -3*m + 24. What is the remainder when 20 is divided by m?
4
Let q = -2 + -6. What is the remainder when 17 is divided by 70/8 - 2/q?
8
Suppose -2 = -f - 0, 5*l + 4*f - 83 = 0. Let i = l + 31. What is the remainder when i is divided by 16?
14
Suppose -5*l = -3*c - 204, -3*l + 169 - 37 = 3*c. What is the remainder when l is divided by 23?
19
Suppose k = 2*q + 28, k + 4*k = 4*q + 50. Let y = -2 - q. Let s = -4 - -11. What is the remainder when y is divided by s?
6
Let j = 6 - -25. Suppose 4*s - 21 = 11. Let r = 8 + s. Calculate the remainder when j is divided by r.
15
Let n be (-99)/(-6) + (-6)/4. Suppose 0 = -0*w - 4*w + 4. What is the remainder when 25 is divided by n/w + -3 + 1?
12
Let b be -1*1/((-3)/87). Suppose w + 2*w - 4*j + 1 = 0, 3*w = -3*j + 27. What is the remainder when w/(-5) - (1 - b) is divided by 10?
7
Let y = 149 + -138. What is the remainder when 48 is divided by y?
4
Let w be 4/3*(-105)/(-10). Suppose 2*b - 6*b - 3*y + 18 = 0, -2*b + w = 4*y. Calculate the remainder when 6 is divided by b.
0
Let a be (-4)/3*(-4 + 1). Suppose 0 = -0*x + a*x + 16. Let w = 1 - x. Calculate the remainder when 8 is divided by w.
3
Let g be 1 - (2 + (-8)/2). Suppose -g*t - 3*y - 9 = 0, -3*t - 3*y - 6 = -y. Suppose t = -2*b + 6*b - 88. What is the remainder when b is divided by 12?
10
Let p(g) = -g + 9. Let d = 12 + -8. What is the remainder when 7 is divided by p(d)?
2
Let v = 63 + -68. Suppose -5*q = 3*h + 1, 2*h = -6*q + 2*q - 4. Let y = h + v. Calculate the remainder when 3 is divided by y.
0
Suppose 7 = -y + 2*y. Let d(r) = -3*r**3 - 3*r**2 - r. Let t be d(-2). Calculate the remainder when y is divided by 8*(-3 - t/(-4)).
3
Suppose 2*g = 4*g - 12. Suppose 74 = g*y - 40. Calculate the remainder when 74 is divided by y.
17
Let z be -2*((-3)/(-2) + -2). Let o = z + 7. Calculate the remainder when 23 is divided by o/(-36) - (-119)/9.
10
Suppose -k - 4*q = k - 30, 0 = -5*q. Calculate the remainder when 56 is divided by k.
11
Let g(t) = t**2 - 21*t - 4. Calculate the remainder when 33 is divided by g(22).
15
Let h(s) = -3*s - 3. Suppose -5*z + 2*w - 17 = -6*z, 4*w - 23 = -z. Calculate the remainder when z is divided by h(-2).
2
Let v be 14 - ((-6)/(-2) + -2). Suppose v + 11 = 4*c. Calculate the remainder when 9 is divided by c.
3
Let f(o) = -o + 6. Let i be f(6). Suppose 4*l - 31 = -y, 5*y + i*l = 3*l + 40. Calculate the remainder when 41 is divided by y.
8
Let u = -3 - -1. What is the remainder when 64 is divided by (88/(-12))/(u/6)?
20
Let p = 328 - 167. What is the remainder when p is divided by 27?
26
Suppose 0 = 3*k + 41 - 281. Suppose 5*j - 2*b - 219 = 0, -5*b + 2*b = 2*j - k. What is the remainder when j is divided by 15?
13
Let v = 11 - 18. Let l(f) = f**2 + 8*f + 9. Let j be l(v). Suppose j*c - 31 = 11. Calculate the remainder when c is divided by 11.
10
Suppose -5*p + 135 = -2*p. Suppose p = 3*s - 3*w, -s - 30 = -3*s - w. Suppose a - 176 = -3*a. What is the remainder when a is divided by s?
14
Let y = 44 + -24. What is the remainder when y is divided by 11?
9
Let b(o) = 32*o**2 + 2*o + 1. What is the remainder when 123 is divided by b(-1)?
30
Suppose 0 = 4*n - 5*u - 112, -2*n - 4*u + 84 = n. Suppose -2*t + 10 = 0, 5*t - 9 - 12 = k. Suppose x + 30 = k*x. Calculate the remainder when n is divided by x.
8
Let a = -70 - -82. Calculate the remainder when 80 is divided by a.
8
Suppose 3*d + 5*m = d + 109, -5*d + 262 = 2*m. What is the remainder when d is divided by 11?
8
Suppose 0 = 3*d - 6*d + 63. Let m = 1 - -7. What is the remainder when d is divided by m?
5
Let o be (7 - 6)/(1 + 0). Let q(d) = 28*d**3 - 2*d**2 + 1. Calculate the remainder when 106 is divided by q(o).
25
Let z = -57 + 109. Let l = z - 31. What is the remainder when l is divided by 11?
10
Let t(s) = -5*s - 2. Calculate the remainder when t(-6) is divided by 15.
13
Let j(t) = 3 - 8*t - 6*t**2 + 2*t**2 + 3*t**2. Let w be j(-8). Suppose -9 - 6 = -w*c. Calculate the remainder when 14 is divided by c.
4
Let j(g) = 9*g. Let y be j(2). Suppose -5*t + 4*v = -4, -3*v + 6 = 3*t - y. What is the remainder when 9 is divided by t?
1
Suppose 2*m = -5*c - m + 1, 4*c - 2*m - 14 = 0. Let q(d) = -d**2 - 7*d - 3. Calculate the remainder when q(-5) is divided by c.
1
Suppose -4 = -4*o - 4*n, 2*o - 2*n - 3*n = 37. Suppose 5*p - 41 = -o*x + 3*x, 5*x - 90 = -4*p. What is the remainder when (x - 1)*1 - 0 is divided by 11?
10
Suppose -5*a + 6 + 4 = 0. Suppose -a*w + 60 = -0*w. What is the remainder when w is divided by 16?
14
Let k(p) = p**3 + p**2 + 7. Suppose 0 = 4*t + 3*x - 13, 8 = t - 3*x - x. Let d = t - 0. What is the remainder when k(0) is divided by d?
3
Suppose -k = 5*a - 0*k - 88, 3*a - 5*k - 36 = 0. What is the remainder when 0 - -36 - 12/4 is divided by a?
16
Let f = 16 + 1. Calculate the remainder when f is divided by ((-4)/((-4)/(-5)))/(-1).
2
Suppose 0 = -5*g - 4*k + 29, 49 = 5*g - k - 0*k. Let y(t) = -t + 17. What is the remainder when y(0) is divided by g?
8
Suppose 3*z - 47 = -2*f, -z + 22 = 2*f - 3*z. What is the remainder when f is divided by (3 - 0)/((-1)/(-2))?
4
What is the remainder when 11 is divided by 2/5 + ((-7)/5 - -4)?
2
Let p = -5 + 9. Suppose 12 = 2*h - p. What is the remainder when 23 is divided by h?
7
Let v(f) = -26*f - 3. Calculate the remainder when v(-5) is divided by 16.
15
Let g(s) = s + 16. Let t(j) = 8*j**3 + 2*j**2 - 2*j + 1. What is the remainder when g(0) is divided by t(1)?
7
Suppose 2*z - 468 = -3*b, 2*b = 2*z + 107 + 195. Calculate the remainder when b is divided by 13.
11
Suppose b = 5*b - 308. Calculate the remainder when b is divided by 20.
17
Suppose -3*z = -5*i - 11, 2*z + 2*i = 11 + 7. Let x be (1 - -1)/4*-28. What is the remainder when (36/x)/((-3)/14) is divided by z?
5
Let p(f) = 12*f**3 - 2*f**2 + 1. Let l(u) = -u**3 + 9*u + 3. What is the remainder when l(-4) is divided by p(1)?
9
Suppose 2*f = 3*f - 4. Let h = f - -15. What is the remainder when 73 is divided by h?
16
What is the remainder when (-3 - -4)*4 + 43 is divided by 16?
15
Let y(t) = -17*t. Let l(m) = 273*m. Let j(w) = 3*l(w) + 49*y(w). Suppose -3*i - 5 = 2*i, -23 = -r - i. What is the remainder when j(-5) is divided by r?
22
Let t be 26/6 + (-1)/3. Suppose -5*s - t = 1. Calculate the remainder when 31 is divided by 23/2 - s/(-2).
9
Suppose -125 = -6*d - 29. What is the remainder when 43 is divided by d?
11
Let p be 6/9*(-132)/(-8). Suppose -4*f + 16 = 4*i, 4*i + 3*f - p = 4*f. What is the remainder when i is divided by 3?
0
Suppose 0 = 6*j - 3*j - 30. Suppose 5*n = n + 620. Suppose -5*b - 10 = -n. What is the remainder when b is divid