3. Let g be s(-2). Suppose -3*z + 43 = -4*o, -2*z + 5 = -g*o - 26. What is the remainder when 24 is divided by z?
11
Let j = -72 + 77. Calculate the remainder when j is divided by 4.
1
Suppose 0 = 4*p - 6*q + q - 136, 0 = -5*p + 4*q + 170. Let o = p - -4. What is the remainder when o is divided by 8?
6
Calculate the remainder when -4 + (-63)/(-15) + (-34)/(-5) is divided by 2.
1
Let q(g) = -24*g - 1. Calculate the remainder when q(-2) is divided by 25.
22
Let u(h) = -4*h + 3. Let l be (-12)/(-3)*(-1)/2. Let b(y) = -13*y + 9. Let q(p) = l*b(p) + 7*u(p). Calculate the remainder when 20 is divided by q(-4).
9
Suppose 33 = 5*b - 27. Suppose b - 29 = -l. Calculate the remainder when l is divided by 6.
5
Let i be (4/(-6))/((-4)/42). Suppose 5*v + 217 - i = 0. Calculate the remainder when 6 is divided by (-2)/(-4) - v/12.
2
What is the remainder when 30/(-4)*((-6)/9 + 0) is divided by 5?
0
Suppose 6*m = 17*m - 275. Calculate the remainder when 49 is divided by m.
24
Let p(i) = i**2 + 5*i - 10. Let h be p(-7). Suppose -h*c - 5 + 121 = 0. What is the remainder when c is divided by 8?
5
Let f(q) = q**3 + 5*q**2 - 2*q + 4. Suppose 12 = -4*l + l. What is the remainder when f(l) is divided by (-2 + -2)/((-2)/5)?
8
Let v(i) = 2*i**2 - 5*i + 5. What is the remainder when 148 is divided by v(5)?
28
Calculate the remainder when 69 is divided by (60/35)/(1/14).
21
Let s(t) = -t**3 - 7*t**2 - 11*t - 8. What is the remainder when s(-7) is divided by 36?
33
Let b be (-6)/8*(6 + -14). Let t(u) be the first derivative of 2*u**2 - 6*u + 3. Calculate the remainder when t(b) is divided by 10.
8
Let a = 6 - 3. Suppose a*h = -h - 20, -4*h = -n + 50. Suppose -3*t - 5*x + 22 = -t, -5*t + 84 = -2*x. Calculate the remainder when n is divided by t.
14
Calculate the remainder when 15 is divided by (-11)/((-165)/(-48))*(-5)/2.
7
Suppose -16 = -4*a, 5*l = 4*l + a + 34. Suppose -u - l = 11. Calculate the remainder when (-3)/(-6) + u/(-2) is divided by 14.
11
Suppose -2*m - 569 = -7*m + 2*s, -4*m - 5*s = -442. Calculate the remainder when m is divided by 29.
26
Let d be (70/(-25))/((-2)/5). Let f = d - -5. Calculate the remainder when 33 is divided by f.
9
What is the remainder when 82 is divided by (5 - 3)/(1/14)?
26
Suppose -3*p - 47 = -y + 27, -3*p - y - 70 = 0. Let x = 36 + p. Suppose -3*s + x = -24. What is the remainder when 45 is divided by s?
9
Let z(c) = c**3 + 12*c**2 - c - 1. Calculate the remainder when 32 is divided by z(-12).
10
Let b(i) = -i**3 + 15*i**2 - 14*i + 10. What is the remainder when 27 is divided by b(14)?
7
Let m be (1 + -4)/((-9)/15). Suppose -4*d + 2*t + 177 = 3*t, -m*t + 137 = 3*d. What is the remainder when d is divided by 15?
14
Suppose -4*j + 3 = 71. What is the remainder when 53 is divided by 3 - (j - (-1 + -1))?
17
Let p = 16 + -10. Suppose -35 - 75 = -5*r. Calculate the remainder when r is divided by p.
4
Suppose 2*v - 58 + 36 = 0. What is the remainder when 97 is divided by v?
9
Let j = 129 - 89. Suppose j - 6 = 2*f. Let n = 66 - 16. Calculate the remainder when n is divided by f.
16
Let l = -5 + 10. Suppose -x + l*t = -2 - 1, 5*x - 59 = 3*t. Calculate the remainder when 24 is divided by x.
11
Let z be ((-3)/(-5))/((-1)/(-5)). Suppose k = -7 + z. Let f(g) = 2*g**2 + 2*g - 4. Calculate the remainder when f(k) is divided by 11.
9
Let t = -9 + 36. Suppose -2*g - 4*r = -4*g + 2, -r = 5*g - t. Suppose -2*w + g*m + 36 = 0, m - 63 = -3*w + 8. Calculate the remainder when w is divided by 8.
7
Suppose -3*v + 18 - 3 = 0. Suppose -4*y = -y - 6. Suppose -y = w - 4. Calculate the remainder when v is divided by w.
1
Let t(m) = 4*m**3 + m**2 + 2*m - 4. What is the remainder when 215 is divided by t(2)?
35
Let r(j) = -3*j + 1. Let k be r(6). Let q = -7 - k. Let i(z) = 11*z + 37. What is the remainder when q is divided by i(-3)?
2
Let b(v) = -v + 2. Let u be b(-3). Calculate the remainder when 14 is divided by 38/u - (-8)/20.
6
Suppose -6*o + 4*o + 10 = 0. Calculate the remainder when 18 is divided by o.
3
Let x = -17 + 6. Let y(a) = -a**2 - 13*a - 9. What is the remainder when 51 is divided by y(x)?
12
Let t = -33 + 14. Let a = -8 - t. Calculate the remainder when 31 is divided by a.
9
Let d(h) = -5*h**2 + 3*h**2 + 3*h**2 - h + 4. Let n be d(3). Calculate the remainder when 7 is divided by (12/n)/((-6)/(-15)).
1
Let j(f) = -f**2 - 5*f - 3. Let m be j(-2). Suppose 5*i - m*c = 29, 4*i + 2*c - 9 = 1. Calculate the remainder when (19 + -1)*2/6 is divided by i.
2
Let g(s) = s**3 - 8*s**2 + 2*s - 7. Suppose 4 = u - 4. Calculate the remainder when 24 is divided by g(u).
6
Suppose -2*r = -3*c + 85 + 40, c - 5*r = 46. Suppose 4 = -2*o, -4*o = g + g - 14. What is the remainder when c is divided by g?
8
Let t = 18 + -4. Calculate the remainder when 34 is divided by t.
6
Let p(r) = 4*r**3 + 5*r**2 + 11*r - 2. Let i(t) = -5*t**3 - 4*t**2 - 12*t + 2. Let n(q) = -3*i(q) - 4*p(q). What is the remainder when n(-7) is divided by 5?
4
Suppose 4*g + g - 5*w = 95, 0 = 3*g + 5*w - 81. What is the remainder when 196 is divided by g?
20
Suppose 2*h - 4*h + 2 = 0. What is the remainder when 56 is divided by h*17 + (-2)/1?
11
Let y(a) be the first derivative of a**4/2 - a**3/3 + 2*a + 1. Calculate the remainder when 55 is divided by y(2).
13
Let x = -20 + 16. Calculate the remainder when (-220)/x - -1 - 0 is divided by (38/(-4))/((-1)/2).
18
Suppose 2*r - 9 = -r. Suppose 41 = -z + r*z - n, 0 = 3*z - n - 59. What is the remainder when z is divided by 10?
8
Let m = -3 + 4. Let j(b) = -b**2 - 2*b + 4. Let r(y) = 3*y**2 + 5*y - 12. Let w(i) = 17*j(i) + 6*r(i). What is the remainder when w(5) is divided by m?
0
Suppose -2*b + 0*y - 4*y + 126 = 0, 0 = -3*b - y + 174. Calculate the remainder when b is divided by 20.
17
Suppose 2*j + 4 + 6 = 0, 3*a - j + 196 = 0. Let s = a + 116. What is the remainder when s is divided by 17?
15
Let t be (6/9)/((-2)/(-9)). Let b(g) = g - 1. Let j be b(t). Suppose -z = -j*z + 25. Calculate the remainder when z is divided by 9.
7
Let f = -210 - -306. Suppose 3*c - f - 42 = 0. Suppose -66 = -0*q - 4*q + a, -4*q - 3*a + 58 = 0. Calculate the remainder when c is divided by q.
14
Suppose 2*o + 5*t = 12, -3*o + 29 = t + t. What is the remainder when 65 is divided by o?
10
Calculate the remainder when 80 - -6 - (-4 - 1) is divided by 19.
15
Let h be (-36)/(-30)*(-5)/(-2). Let c(u) = 12*u. Calculate the remainder when c(h) is divided by 19.
17
Let s(z) = z**2 - 3*z + 1. Let q(p) = -p**2 + 2*p. Let n(y) = -5*q(y) - 4*s(y). What is the remainder when 9 is divided by n(-4)?
1
Suppose 0 = -3*r - 2*r + 5*g + 35, -5*r - 4*g + 53 = 0. What is the remainder when 50 is divided by r?
5
Let t(s) = -s**3 - 4*s**2 + 7*s - 2. Let u(d) = -d**2 - 4*d + 6. Let r be u(-6). Calculate the remainder when t(r) is divided by 15.
13
Let l = -6 + 8. Suppose -3*z - l*z + 190 = 0. Calculate the remainder when z is divided by (-2)/(-4) - 50/(-4).
12
Let p be 2 + 0 + -2 - -5. Let f be 2/p - (-52)/20. Suppose f*t = v + 39, 3*t + 5*v = 38 + 19. What is the remainder when t is divided by 8?
6
Suppose 4*q = -0*q. Let o be 0 + q + -2 + 3. Suppose n = -4, o = i + 5*n + 2. What is the remainder when 36 is divided by i?
17
Let z = 12 - -13. Let g = 29 + -20. What is the remainder when z is divided by g?
7
Suppose 2*c = -3*c + 465. Suppose 3*z - 147 - c = 0. Suppose -s - 3*d + 6 = -31, 0 = 2*s + 3*d - z. What is the remainder when s is divided by 22?
21
Let d(x) = -x**3 - 7*x**2 - 5*x + 6. Let c be d(-6). Suppose c = -3*l - 15, 8 + 0 = -i - 2*l. What is the remainder when i is divided by 1?
0
Let s(p) be the first derivative of p**3/3 + 7*p**2/2 + 4*p + 2. What is the remainder when 33 is divided by s(-8)?
9
Calculate the remainder when 23 is divided by 1/(1*(-3)/(-39)).
10
Let g(z) = 7*z**2 - 11*z + 2. What is the remainder when 126 is divided by g(3)?
30
Suppose -5*a = 5*d - 4*a - 145, d - 29 = -a. What is the remainder when d is divided by 17?
12
Suppose -3*a + 3*x + 28 = -2*a, -3*x = -5*a + 116. Calculate the remainder when 62 is divided by a.
18
Let s be 6 - (-4)/(8/(-6)). Suppose s*b + 5*f = 63, 3*b - 4*f + 8 = 71. What is the remainder when 41 is divided by b?
20
Let r(k) = 3*k - 7. Let a be r(5). Let p(y) = -10 - y**3 + 7*y**2 + 3 + 6*y + 5*y. What is the remainder when 33 is divided by p(a)?
