 Calculate the remainder when 28 is divided by n.
4
Suppose -3*f + f = -24. Let l(y) = y**3 - 26*y**2 - 2*y + 85. What is the remainder when l(26) is divided by f?
9
Let u(n) = 6*n - 29. Calculate the remainder when 7 is divided by u(6).
0
Suppose 0 = -4*v - 4*r + 68, 4*v + 5*r = 43 + 23. Calculate the remainder when 126 is divided by v.
12
Let v = 16 + -10. Suppose -3*o - 105 = -v*o. What is the remainder when o is divided by 18?
17
Let b be ((-405)/(-12) + 0)*4. Suppose -5*k + b = 50. Calculate the remainder when 31 is divided by k.
14
Suppose 0 = 17*t - 19*t. Suppose 5*y + 12 = i, -2*i - y = -t*y - 13. What is the remainder when 26 is divided by i?
5
Suppose 4*s = -k + 3*s + 1, 13 = 4*k - 5*s. What is the remainder when 2 is divided by k?
0
Suppose 5*j - 2*t - 52 = 46, -t = j - 14. Let n be -2 + 0 - -2 - 0. What is the remainder when j is divided by -3*(-4 + n) - 2?
8
Suppose 4*b - 22 = 5*r, 0 = -4*b + 2*r - 0 + 16. What is the remainder when b is divided by 2?
1
Let j = -55 + 93. Suppose 4*y - 38 - j = -3*t, -4*y - 4*t = -72. What is the remainder when 42 is divided by y?
20
Let n(j) = -j**2 + j + 5. Suppose 6*b = b + 5. Let v(c) = 13*c**2 + c - 1. What is the remainder when v(b) is divided by n(0)?
3
Let o(h) = 3*h**2 - 2*h - 3. Suppose -v = 3*j - 9 - 2, 3*j - 3 = 3*v. Suppose j*t - 2 = 4*t. What is the remainder when o(t) is divided by 5?
3
Let o(x) = 6*x**3 - 3*x**2 + 3*x - 1. Calculate the remainder when o(2) is divided by 11.
8
Let w(s) = -2*s - 9. What is the remainder when 5/(1*(-3)/(-6)) is divided by w(-6)?
1
Suppose 0 = -x - 3*x. Suppose 6*p - 2*p - 80 = x. Let q = -72 + 131. What is the remainder when q is divided by p?
19
Let d = 2 + 2. Suppose -3*m + 65 = -z + 2*z, 70 = z + d*m. Let i(k) = 16*k**2 + 1. Calculate the remainder when z is divided by i(-1).
16
What is the remainder when 52 is divided by (0 - 2)/2*(-12 - -1)?
8
Let u(b) = -b**2 + 4*b + 1. Let l be u(3). Suppose s - 78 = -4*z - 15, l*z - 5*s - 45 = 0. Calculate the remainder when 44 - (-3 - (-5 + 2)) is divided by z.
14
Let a(i) = 4*i**2 - 4*i + 2. Let c be a(2). Let b be 2/4 - 5/c. Let l = b - -18. What is the remainder when l is divided by 10?
8
Suppose -k - 34 = -3*k. Calculate the remainder when 48 is divided by k.
14
Let g be (1 - (-2 - -5)) + -3. Let o = 11 + g. Calculate the remainder when 16 is divided by o.
4
Let c(k) = k**2 + 4*k + 9. Let i be c(-6). What is the remainder when 10 is divided by 7/2*36/i?
4
Let k be (19 - 5) + (-3 - -1). Let s be (k/16)/((-1)/(-4)). Let v = s + -1. What is the remainder when v is divided by 2?
0
Let f = 8 + 2. Let a = 89 + -52. Calculate the remainder when a is divided by f.
7
Let b(g) = -g**3 - 6*g**2 + 3. Suppose -y + 3 = 1. Suppose 3*z = l + 4*l - 29, 5*z + 4 = y*l. Calculate the remainder when l is divided by b(-6).
1
Suppose -3*z = -0*u - 5*u + 234, z + 61 = -4*u. Let x = z - -122. Suppose 2*j - 17 = 17. What is the remainder when x is divided by j?
15
Let x = 14 - 7. Calculate the remainder when x is divided by 4.
3
Suppose -5*r - m = -3*r - 75, -2*m - 102 = -3*r. Let o = 57 - r. Calculate the remainder when 61 is divided by o.
19
Suppose 2*x - 18 = -0*x. Suppose -h + 32 = c, x = 2*c + c. Let q(u) = u**3 - u**2 - 2*u + 3. What is the remainder when h is divided by q(3)?
14
Let w be 69/21 + 4/(-14). Suppose 0 = -n + w + 6. Calculate the remainder when n is divided by 3.
0
Let r(l) be the first derivative of l**4/4 + 7*l**3/3 + 5*l**2/2 - 5*l - 8. Calculate the remainder when r(-5) is divided by 32/3 + (-2)/(-6).
9
Let k = -35 + 74. Let n be 30/(2*(-1)/(-4)). Suppose 2*o - n = -o. Calculate the remainder when k is divided by o.
19
Suppose -10 = -z - z. Suppose -f - 5*t - 3 = -2*t, -f - t + 3 = 0. What is the remainder when z is divided by (2/(-3) + 1)*f?
1
Let k be 9/(22/(-8) + 3). Suppose -3*u = -k + 12. What is the remainder when 14 is divided by u?
6
What is the remainder when 38 is divided by (-2)/(-16) + (-1339)/(-104)?
12
Suppose 0 = 3*d - 1219 - 95. Calculate the remainder when d is divided by 55.
53
Suppose 0 = w + 4*m + 1, 3*w = 4*m + 13 - 0. Calculate the remainder when 7 is divided by w.
1
Let c(a) = -76*a - 4. Let m be c(-7). Let y be (5/(-4))/((-6)/m). Suppose 0*n = 5*n - y. Calculate the remainder when 64 is divided by n.
20
Suppose 0 = -h + 5*h + 88. Let x = h - -40. Suppose 0 = -k - 20 + 71. What is the remainder when k is divided by x?
15
Let f(d) = d**3 - d + 3. Let z be f(0). Suppose 2*v + 68 = 3*b, 4*b = z*b + 4*v + 36. Let c = -10 + 17. What is the remainder when b is divided by c?
6
Let q(j) = -6*j - 4. Calculate the remainder when 38 is divided by q(-3).
10
Let k(w) = w**3 - 2*w**2 + w. Let g be k(2). What is the remainder when (-140)/(-8) - 1/g is divided by 10?
7
Suppose 0 = -4*c + 3*i + 77, c - 28 = -3*i + 10. Let a = c + 6. Calculate the remainder when a is divided by 10.
9
Let a(d) be the second derivative of d**3/2 - 2*d. Suppose 3*o - 7 = -2*y - 1, 5*y = 3*o - 6. Calculate the remainder when a(o) is divided by 4.
2
Let y be (-192)/(-14) + 4/14. Let g be (-24 - -1)*(-2 + 1). Let o = g + y. What is the remainder when o is divided by 13?
11
Suppose -130 - 254 = -8*q. Calculate the remainder when 191 is divided by q.
47
Let c = -6 - -20. Let h(s) = -s**3 + 9*s**2 - 5*s + 2. Let j(w) = 3*w + 2. Let g be j(2). Calculate the remainder when h(g) is divided by c.
12
Let w be 11 + -1 - (-5 + 8). Suppose 92 = 11*p - w*p. What is the remainder when p is divided by 8?
7
Suppose 5*a + 18 = 2*a. Let x(b) = -b**2 - 7*b - 4. Let n be x(a). Let y = 4 + n. What is the remainder when y is divided by 4?
2
Suppose 0 = -0*k + 3*k + 6, -4*k - 4 = -4*i. What is the remainder when (-501)/(-12) - i/4 is divided by 11?
9
Suppose 5*a + 201 = -g, 0 = a + g + 3*g + 25. Let x = 141 + a. Suppose -5*o + 0*d + d = -x, 5*d = o - 44. Calculate the remainder when o is divided by 10.
9
Let n(t) = 3*t - 2. What is the remainder when 19 is divided by n(3)?
5
Let k(m) = 3*m**3 + 2*m - 1. Let b be k(1). Suppose -2 = -b*h + 38. Suppose f = 2*f - 28. Calculate the remainder when f is divided by h.
8
Let n be (-8)/(-4) + 4 + -1. Suppose -n*d = -4*s + 9, 4 = 2*s + 2*d - 14. Suppose 0 = y - 11 - 5. What is the remainder when y is divided by s?
4
Let c(i) = i**2 + 15*i - 9. Calculate the remainder when c(-18) is divided by 16.
13
Let b(w) = -w**2 - w + 2. Let a be (0/(-2))/(5 - 6). Calculate the remainder when 3 is divided by b(a).
1
Suppose -5*z + z = 3*a - 57, 5*a + 4*z = 95. Calculate the remainder when a is divided by 8.
3
Let i(o) = o**2 - 4*o + 15. Suppose 5*z = -6 + 1. What is the remainder when ((1 + 2)*-14)/z is divided by i(4)?
12
Suppose -3*c + 3*w + 153 = -0*c, 0 = 4*c + 2*w - 174. Calculate the remainder when 227 is divided by c.
43
Let m(p) = 15*p - 28. What is the remainder when m(8) is divided by 19?
16
Let r(b) = -1. Let m(j) = j + 5. Let v(d) = -m(d) - 2*r(d). Let p be (-3)/(-3) - 9 - -1. Calculate the remainder when v(p) is divided by 2.
0
Let a(z) = -z**2 - 6*z + 5. What is the remainder when 29 is divided by a(-5)?
9
Let p = 2 + -5. Let i be (4 + p)*1*5. Suppose c - 1 = i. Calculate the remainder when 17 is divided by c.
5
Suppose -a - 156 = u, -4*u = 5*a - 145 + 766. Let b = -8 - u. Suppose 4*w = 7*w - 3, 0 = -3*g - w + b. What is the remainder when g is divided by 17?
16
Let h = -4 + 19. Suppose n + 8 = 5*n. Suppose n*c + c - 87 = 0. Calculate the remainder when c is divided by h.
14
Suppose -q = 4*q - 55. Let l = 6 - 0. Let u(w) = 5*w + 1. What is the remainder when u(l) is divided by q?
9
Suppose 3*u + 2*k = 2*u + 13, 5*k = 3*u - 72. Let m(l) = l**2 - l + 7. Let h = -4 + -1. What is the remainder when m(h) is divided by u?
18
Let u = -25 + 29. Calculate the remainder when u is divided by 3.
1
Let u(a) = 2*a + 11. What is the remainder when 223 is divided by u(17)?
43
Let l(i) = i**2 - 4*i. Let k be l(5). Suppose -3*x - 4 = -2*p, k*x + 5 = -2*p + 5*p. What is the remainder when 50/x + -3 + 3 is divided by 7?
4
What is the remainder when 43 - (5 + -4)*-3 is divided by 16?
14
Let k(i) = -i + 1. Let h be k(-1). Let v = 8 - 5. What is the remainder when h*14/(v + -1) is divided by 5?
4
Suppose 2*a - 21 = -2*u - a, -3*u - 4*a + 29 = 0. Calculate the remainder when 6 is divided by u.
0
Let t = 75 - 0. Calculate the r