by m(-10).
18
Let c = -2 + 1. Let k = c - -1. Suppose k = 4*x - 4*t - 148, 3*x + 4*t + t - 71 = 0. What is the remainder when x is divided by 17?
15
Suppose -5*l + 3*x - 140 = 4*x, l + 4*x = -47. Let c = l - -60. Let d(w) = 3*w - 6. Calculate the remainder when c is divided by d(5).
6
Let n(p) be the first derivative of p**2/2 + 4*p - 4. Let l be n(-4). Suppose l*m = -m + 5. What is the remainder when m is divided by 3?
2
What is the remainder when (-4 - (-36)/8)*120 is divided by 21?
18
Suppose 0*v = -2*v + 4. Suppose v*t = t + 4. What is the remainder when t is divided by 2?
0
Let o be -8 + (-3)/(-1) + 3. What is the remainder when -86*(1 + 3/(-2)) is divided by (-1)/(-2)*o + 16?
13
Let m = -4 - -8. Suppose -3*g = -0*i + i - 14, -m*i = 2*g - 16. Suppose g*w + 11 = 27. Calculate the remainder when 6 is divided by w.
2
Suppose 2*r + 52 - 204 = 0. Suppose 0 = 5*d - 2*a - 79, a = 5*d - 2*a - r. What is the remainder when 83 is divided by d?
15
Let z(k) = 9*k + 17. Let y(q) = -5*q - 9. Let t(b) = 7*y(b) + 4*z(b). What is the remainder when t(5) is divided by 4?
2
Suppose 2*k - 1 = n + 6, -2*k = 4*n - 2. Suppose 2*y - 8 = 5*a, -2*a + 3*a - k*y = -12. What is the remainder when 38 is divided by -2 - -3*(a + 5)?
12
Let s = -16 + 42. Calculate the remainder when 50 is divided by s.
24
Let i = 124 + -119. Calculate the remainder when 19 is divided by i.
4
Let w(h) = h**3 - 6*h**2 + 6. Let s be w(6). Suppose s*n - 3*n = 30. Calculate the remainder when 38 is divided by n.
8
Suppose 0 = g - 4*g + 2*z + 130, -75 = -2*g - z. Suppose 2*r + 1 = -1. Let d = r + 15. What is the remainder when g is divided by d?
12
Suppose 13 + 87 = 4*a. What is the remainder when a is divided by 13?
12
Let l(k) = -3*k**2 + 13*k + 5. Let u(n) = 2*n**2 - 6*n - 2. Let r(p) = -3*l(p) - 5*u(p). Let j = 20 - 26. What is the remainder when 24 is divided by r(j)?
11
Suppose 0 = 4*q - 2*l - 38, -q - 2*q + l = -28. What is the remainder when 104 is divided by q?
5
Suppose 5*m - 25 = -g, 2*g - 9 = 4*m - 1. Suppose 0 = 2*w - 5*d - 20, -4*w - 3*d + g = 2*d. What is the remainder when 9 is divided by w?
4
Let t(k) = 1. Let m(i) = -i + 1. Let a(z) = m(z) + 3*t(z). What is the remainder when a(-7) is divided by 7?
4
Suppose 5*z + 3*m = 7*m + 5, 5 = 2*z - m. Suppose 4*u + 20 = 2*d, 0*d + z*u = 2*d - 24. What is the remainder when -2 + (-14)/(-3 + d) is divided by 7?
5
Let x(y) = -5*y - 7. Let h = 3 - -7. Suppose -h = -5*w + 4*w. What is the remainder when x(-7) is divided by w?
8
Suppose -2*f + 6 = 0, 5*v + 4*f + 0*f - 57 = 0. Calculate the remainder when 23 is divided by v.
5
Let p = 30 + -12. Suppose -2*w + 101 + 41 = 0. Calculate the remainder when w is divided by p.
17
Let s(l) = l**2 - 5*l - 11. Let y = -23 + 41. Suppose -n - n = -y. What is the remainder when s(n) is divided by 9?
7
Suppose 4*a - 2 = 6. Calculate the remainder when 6 is divided by a.
0
Suppose -g + 33 = 2*s, -10*g - 5*s + 97 = -7*g. Suppose 5 + 59 = 4*f. Calculate the remainder when g is divided by f.
13
Let l = 5 + -3. Suppose f - l = 60. Suppose -2*z - j + 42 = 0, 3*z - 54 - 9 = 5*j. Calculate the remainder when f is divided by z.
20
Let d(z) = 3*z**2 - z + 1. Let p be d(-2). Suppose x - p = -0*x. Calculate the remainder when x is divided by 8.
7
Let q be 0 + 1 + (-3)/(-1). Suppose -q*t = 8 - 24. Calculate the remainder when 7 is divided by t.
3
Suppose l - 108 = 2*m, l - 4*l = 4*m - 364. What is the remainder when 29 is divided by l/14 - (-12)/(-42)?
5
Suppose 6*f + 30 = f. Let z = f - 5. Let l = -5 - z. Calculate the remainder when 16 is divided by l.
4
Suppose 2*k - 5 = -1. What is the remainder when 4/(-10)*1155/(-66) is divided by k?
1
Let r(x) = 4*x**2 - x. Suppose 3*a + 3*n - 6 = 0, 3*a + 3*n + 8 = 7*n. Let v(t) = -t + 8. What is the remainder when r(2) is divided by v(a)?
6
Let d(w) = w**3 - 7*w**2 - 8*w. Let j be d(8). Suppose j = -4*g + g + 30. Let p = 15 + -11. What is the remainder when g is divided by p?
2
Let z = 136 - 42. What is the remainder when z is divided by 24?
22
Suppose -12*a = -5*a - 154. Calculate the remainder when a is divided by 9*4/6 - 2.
2
Suppose -4*k = 16 + 8. What is the remainder when (-1)/6 - 145/k is divided by 9?
6
Let r(p) = p**3 - 7*p**2 + 4*p + 1. Let x be r(6). Let i(d) = d**3 + 11*d**2 - 2*d - 14. Calculate the remainder when 30 is divided by i(x).
6
Let n be 10*22/(-4)*-3. Suppose -m + n = 2*m + 2*t, m + 4*t - 65 = 0. Suppose -m + 19 = -2*v. What is the remainder when 33 is divided by v?
16
Let y(p) = -p**3 + 9*p**2 - 10*p - 3. What is the remainder when y(7) is divided by 9?
7
Suppose -3*c = 3*q - 23 - 46, -2*q - c + 42 = 0. Calculate the remainder when q is divided by 7.
5
Calculate the remainder when -3 + (40/(-1))/(22/(-33)) is divided by 15.
12
Let p(g) = -g**3 - 8*g**2 + 7*g - 7. What is the remainder when p(-9) is divided by 7?
4
Let q(u) = 3*u**2. Let x be q(1). Let m = 2 + 6. Suppose -x*a + m = -a. Calculate the remainder when 7 is divided by a.
3
Let h(b) = -4*b - 2. Calculate the remainder when 51 is divided by h(-7).
25
Suppose 5*w + 415 = 5*l, 4*l + 6*w = 2*w + 348. Calculate the remainder when l is divided by 22.
19
Let h = -3 + 2. Suppose 136 = 3*k + 5*k. Calculate the remainder when k is divided by ((-3 - h) + 0)*-3.
5
Suppose 20 - 2 = 3*w. Let g = 0 - -5. Let t(n) = 2*n**2 - 8*n + 7. What is the remainder when t(g) is divided by w?
5
Suppose -2*y + 676 = 4*w - 7*y, -4*w = -y - 676. Calculate the remainder when w is divided by 58.
53
Let x be 4/(3 - 7) + 0. Calculate the remainder when (-1 - x) + 5 + 21 is divided by 9.
8
Let a(b) = -b**2 - 5*b. Let u be a(-4). Let l(t) = t + 1. Let s be l(-2). Let g = u + s. Calculate the remainder when 5 is divided by g.
2
Suppose 4*y = -0*i - i + 38, 5*i - 241 = -3*y. Calculate the remainder when i is divided by 17.
16
Let k = 52 - 35. Let u = 22 - k. What is the remainder when 7 is divided by u?
2
Let r = -26 + 41. Calculate the remainder when 57 is divided by r.
12
Suppose -2*f - 2*f = -8, -h = -2*f - 130. What is the remainder when h is divided by 34?
32
Suppose -8 = -3*w + 1. What is the remainder when 4/(-14) - 102/(-14) is divided by w?
1
Let a = -5 - -5. Suppose a = f + 5 - 46. What is the remainder when f is divided by 11?
8
Let c(o) = 12*o + 1. Let j(b) = b**3 + 10*b**2 + 10*b + 13. Let s be j(-9). Calculate the remainder when c(s) is divided by 13.
10
Let j(d) = d**3 - 23*d**2 + 24*d - 6. Calculate the remainder when j(22) is divided by (-2*1)/(2/(-13)).
12
Let c(q) = -12*q**2 + 3. Let y be c(-3). Let k(l) = -2*l**2 - 26*l - 10. Calculate the remainder when k(-11) is divided by (-2)/(-6) - y/9.
10
Let v(z) be the first derivative of 2*z**2 + 2*z - 3. Suppose -74 = -3*m - 2*g, 4*g - 122 = -5*m - 0*g. Calculate the remainder when m is divided by v(3).
12
Let a(o) = -12*o - 9. Suppose -3*h - 107 = -2*j, j - 5*j + 203 = 5*h. Calculate the remainder when j is divided by a(-3).
25
Let m = 34 + -21. Let q be 132/9 - (-1)/3. Let p = -10 + q. What is the remainder when m is divided by p?
3
Let u be (-22)/33 + 2/3. Suppose -24 = -u*s - 2*s. Calculate the remainder when 34 is divided by s.
10
Let m = 228 + -134. Calculate the remainder when m is divided by 32.
30
Let q(p) = p**3 + 6*p**2 + 2*p + 4. Let y be q(-6). Let z = y + 31. What is the remainder when z is divided by 8?
7
Let x(i) = 8*i + 8. Let d be x(7). Suppose -d + 18 = -v. Suppose 4*k - 230 = -k - 4*f, k - v = 5*f. What is the remainder when k is divided by 16?
14
Suppose 0 = -2*d - 0*d + 10, 5*u = 2*d + 75. Calculate the remainder when 64 is divided by u.
13
Suppose -f + 80 = 3*f. What is the remainder when 53 is divided by f?
13
Let d be 3 + -4 + 3 - -3. Let a(t) = t**2 - 4*t + 6. Let h = 24 + 7. What is the remainder when h is divided by a(d)?
9
Let m be (2/(-4))/(2/8). Let b = 5 + m. Suppose b*q - 9 - 12 = 0. What is the remainder when 27 is divided by q?
6
Suppose -2*v + 48 + 24 = 0. Suppose 2*u = -2*u + v. What is the remainder when 2/(-5) + 174/10 is divided by u?
8
Let v = -69 - -113. Let b = v + -29. What is the remainder when 28 is divided by b?
13
Let b = -12 - -22. Calculate the remainder when 49 is divided by b.
9
Let h(j) = j**3 + 11*j**2 - 14*j + 5. What is the remainder when 55 is divided by h(-12)?
26
Let i be (0 + 2)*(3 + 1). Let n = 11 - i.