remainder when z is divided by g(1).
3
Suppose 0*w = 3*w - 96. What is the remainder when w is divided by 18?
14
Let s be (-1 + 3)*14/4. Let v = s - 5. Suppose -22 = z - v*z. What is the remainder when z is divided by 12?
10
Let f(k) = 3*k - 1. Let y be f(1). Suppose -y*j + j = -52. Calculate the remainder when 23 is divided by (0 + j)*4/16.
10
Let h(n) = 33*n - 1. Let v be h(1). Suppose -3*l = -v - 94. Calculate the remainder when l is divided by 22.
20
Let l(d) = -d**3 + 12*d**2 - 12*d + 10. Let p be l(11). Let j be (p + 2)*1*-4. Let s(z) = 2*z**2 - 3. Calculate the remainder when s(j) is divided by 15.
14
Suppose 0 = m - 4*d - 4, 5*d + 34 = 5*m - 1. Let j = 21 + 2. Calculate the remainder when j is divided by m.
7
Suppose 3*k - 12 = 3. Suppose k = 5*s, -5*c + 28 = -s - s. Suppose 2*v - 68 = -2*v. Calculate the remainder when v is divided by c.
5
Let p(f) = 19*f**2 + 6*f + 7. Calculate the remainder when p(-2) is divided by 20.
11
Suppose -7*x = -2*x - 80. Suppose 2*f + d = 3*d + 10, -4*d = 2*f - x. Calculate the remainder when 59 is divided by f/2*(4 + 1).
14
Let x(w) = -19*w + 8*w + 2*w**2 - 1 - 8. Calculate the remainder when x(9) is divided by (-100)/(-7) - (-2)/(-7).
12
Suppose -5*n = -q - 25, -n - n - 3*q = -27. What is the remainder when 10 is divided by n?
4
Let c be -10*10/(-4) + -2. Suppose c - 68 = -3*w. What is the remainder when w is divided by 8?
7
Let l = 28 - 14. Suppose -5*n + 4*n = 14. Let s = l - n. Calculate the remainder when s is divided by 10.
8
Suppose -2*w = -5*x - 0*w + 28, x + w - 7 = 0. Calculate the remainder when x is divided by ((-6 - 0) + 5)/((-4)/8).
0
Let o = -84 + 104. What is the remainder when 72 is divided by o?
12
Let r(f) = 4*f**2 + 7*f + 5. Suppose 2*i = -3 - 5. What is the remainder when r(i) is divided by 21?
20
Suppose 4*f - 2*s - 92 = 208, s + 4 = 0. What is the remainder when f is divided by 25?
23
Suppose 4 - 10 = -3*i. Suppose -z + 2 = -i*z. What is the remainder when 2 is divided by -2 + 4 - 0/z?
0
Suppose -m = 2*m - 15. Suppose -r + 57 = 4*f, -m*r - 2*f + 217 = f. What is the remainder when r is divided by 14?
13
Let p be (-5)/(10/(-8)) - 2. Suppose 7*w - 2*w - 40 = 0. Suppose -6 = -3*i, -p*j + 4*i = 2*j - w. What is the remainder when 13 is divided by j?
1
Let q(u) = u**3 + 29*u**2 + 26*u - 48. Calculate the remainder when 19 is divided by q(-28).
3
Suppose -4*f + 5*f + 111 = -4*o, 0 = 2*f + 6. Let m = -22 - o. What is the remainder when 12 is divided by m?
2
Suppose -3*i = h - 580 + 174, 819 = 2*h - i. Suppose 0*n = 5*w + 5*n - 635, h = 3*w - 4*n. Suppose w = 4*t + 31. What is the remainder when t is divided by 13?
12
Let t(h) = 13*h**2 - 1. Let b be t(-1). Calculate the remainder when (6/b)/((-1)/(-2)) is divided by 1.
0
Let f = -5 + 8. Suppose -t - 42 = -4*y, -f*y + 2*y + 8 = t. Calculate the remainder when 29 is divided by y.
9
Let k = -8 - -25. Calculate the remainder when 33 is divided by k.
16
Suppose -145 = -2*x - 3*x. Calculate the remainder when 84 is divided by x.
26
Let a be -2 - -3 - (1 + 11). Let s = a - -20. What is the remainder when 4/5*(-130)/(-4) is divided by s?
8
Let r = -3 + 7. Let g = -1 - -3. Suppose -g*a + y = -46, -r*a + y + 112 = a. Calculate the remainder when a is divided by 12.
10
Let u(v) = -v**2 - 10*v - 4. Calculate the remainder when u(-7) is divided by 9.
8
Let t(l) = -2*l**3 - 2*l**2 + 1. Let x be t(-2). Let s = -1 + x. What is the remainder when s is divided by (5/(-4))/(1/(-4))?
3
Let h = 13 - 13. Suppose 0*l - 5*l - b = -326, 5*l - 2*b - 323 = h. What is the remainder when l is divided by 22?
21
Let u(x) = x**3 - 2*x**2 + 3*x - 1. Let s be u(2). Suppose s*d = -60 + 430. What is the remainder when d is divided by 19?
17
Let o be (0 + -2)*(-4)/2. Suppose 3*j = o*h + h - 49, 0 = 4*h + 3*j - 23. Let g = 38 + -23. What is the remainder when g is divided by h?
7
Suppose v + 11 = -5*h + 40, 4*v - 26 = -5*h. Let q(m) = m**3 - 7*m**2 + 8*m - 7. Calculate the remainder when 14 is divided by q(h).
4
Let b(z) = z**2 + z - 1. Let h(c) = c + 8. Let w be h(-7). Calculate the remainder when b(w) is divided by 1.
0
Let c(r) = r**2 - 8*r + 9. Let m be c(9). Suppose 3*p = 3 + m. Suppose 0 = 5*z, 2*n + 2*z - p = 21. Calculate the remainder when n is divided by 8.
6
Suppose -2*p = -3*h - 62, -3*h + h + 2*p - 42 = 0. Calculate the remainder when 74 is divided by (-250)/h*(3 + -1).
24
Calculate the remainder when ((-9)/(-12))/((-3)/(-54))*10 is divided by 34.
33
Suppose -n + 0*n = 0. Suppose j - 6*j + 105 = n. Calculate the remainder when 39 is divided by j.
18
Let r = 197 + -95. What is the remainder when r is divided by 36?
30
Suppose 5*j - 12 = 108. What is the remainder when j is divided by 14?
10
Suppose -68 + 263 = 5*o. Calculate the remainder when 75 is divided by o.
36
Let i = 18 - -65. Let x = i + -49. What is the remainder when x is divided by 12?
10
Suppose -r - 2*r = -6. What is the remainder when 50 is divided by ((-39)/6 - r)*-2?
16
Let x(m) = -m**2 - 19*m - 15. Let y be x(-14). Let z = -14 + y. What is the remainder when z is divided by 15?
11
Let u(z) = -z**2 - 2*z + 3. Let m = 5 - 1. Let k be u(m). Calculate the remainder when (-2)/(-7) - 729/k is divided by 9.
8
Let u = -48 - -28. What is the remainder when u/(-8)*(-8)/(-10) is divided by 2?
0
Suppose -5*m - 66 + 5 = -4*v, 5*m - 2 = -3*v. Let r = 5 - 1. What is the remainder when v is divided by r?
1
Suppose 51 = 5*n + 2*d + 12, 0 = -n - d + 6. Calculate the remainder when 46 is divided by 24*(-4 - n/(-2)).
10
Let x = -38 - -70. Let w(q) = -6*q - 5. Let v be w(-5). Let m = v - 8. What is the remainder when x is divided by m?
15
Let j(y) = y**3 - y**2 - 2*y + 5. Calculate the remainder when j(7) is divided by 41.
39
Suppose -84 = -j - 2*j. Let o(h) = 3*h - 15. Calculate the remainder when j is divided by o(10).
13
Suppose -4*w = -z - z + 88, z + 3*w - 49 = 0. What is the remainder when 137 is divided by z?
45
Let f be 1/5 + 58/10. Calculate the remainder when (-2)/f + 49/3 is divided by 9.
7
Let r(d) = d**2 + d + 11. Let o = 1 - -3. Calculate the remainder when r(0) is divided by o.
3
Let k(g) be the third derivative of -g**4/24 + 6*g**2. Suppose -q = -1 - 3. Calculate the remainder when k(-6) is divided by q.
2
Let v(a) be the third derivative of -1/24*a**4 + 0 - 2*a**2 + 0*a - 1/6*a**3 + 1/12*a**5. Calculate the remainder when v(-3) is divided by 24.
23
Let k(t) = -t**3 + t**2 + t + 38. Let l be k(0). Let u(a) = 2*a**2 + a + 1. Calculate the remainder when u(4) is divided by (l + 0)/(2 - 0).
18
What is the remainder when 13 is divided by 4*(-5)/(-2) + (-18)/9?
5
Suppose 0 = -4*m + 2*m. Suppose -12 = -g - m*g + 2*d, -4*g = 2*d - 48. What is the remainder when 23 is divided by g?
11
Let o(k) = -k**3 + k**2 + k + 30. Let d = 9 - 7. Suppose -3*c = 4*a - 53, -4*a - d = -c - c. What is the remainder when o(0) is divided by c?
8
Suppose t + 16 = 5*t. Let u be 12/t*(-4)/(-6). Suppose -3*h - z + 62 = -0*z, 0 = -4*h - u*z + 86. Calculate the remainder when h is divided by 10.
9
What is the remainder when (-990)/12*(-2)/3 is divided by 14?
13
Suppose 0 = -4*y - 16, 2*y + 122 = 3*t - 3*y. Suppose -u = p - 8 - 6, -4*p + 2*u + 44 = 0. Calculate the remainder when t is divided by p.
10
Suppose -7*f + 4*f - 264 = 0. Let w = -59 - f. Calculate the remainder when w is divided by 16.
13
Let w(j) = j**2 - 4*j - 3. Let d be w(5). Suppose 5*x = -d*o + 205, -205 = -5*x + 2*o + 3*o. What is the remainder when x is divided by 11?
8
Suppose 0 = -5*h - 3*s + 34, -5*h + 18 + 13 = 2*s. Calculate the remainder when 19 is divided by h.
4
Let i = 36 + -25. Calculate the remainder when 18 is divided by i.
7
Let p = 217 + -205. Let u(h) = h - 1. Let w(o) = -7. Let v(f) = 7*u(f) - w(f). What is the remainder when v(5) is divided by p?
11
Let s be 4/10 + (-2)/5. Suppose s = x + x - 166. What is the remainder when x is divided by 21?
20
Let n(a) = 61*a. Let x be n(2). Suppose -5*q + 213 = -x. What is the remainder when q is divided by 17?
16
Suppose 4 + 4 = -2*o, d + 2*o = 16. Let y = 42 - d. What is the remainder when 70 is divided by y?
16
Suppose -9*c + 2095 = 763. Calculate the remainder when c is divided by 15.
13
Suppose -h + c = -45, -4*h - c + 4*c + 175 = 0. Let y(i) = -i**3 + 6*i**2 - 5*i + 2. Suppose 0 = g - 1 - 3. Calculate the