se 0 = 2*u - 5*t - w, 4*u + 4*t - 68 = -0*t. What is the remainder when i(0) is divided by u?
17
Let q be (-114)/(-18) + 1/(-3). Suppose -q*m = -2*m. Suppose w = -2*b + 119, m*w + 55 = b - w. Calculate the remainder when b is divided by 15.
13
Suppose -2*y + v + 5 = -23, 3*y - 24 = -3*v. Calculate the remainder when 46 is divided by y.
10
Suppose -2 = -r - r. Let i(a) = 5*a**2 - 2*a + 1. Let x(t) = -t**2. Let v(z) = i(z) - 3*x(z). Calculate the remainder when 13 is divided by v(r).
6
Let c(m) = -2*m**3 - 2*m**2 + 2*m + 3. Let z be 1 + (0 + 0 - 3). What is the remainder when 18 is divided by c(z)?
4
Suppose 46 = q + 2*f, 0*f + 3*f - 195 = -5*q. Calculate the remainder when q is divided by 12 - (-4)/(4 + 0).
10
Suppose -5*w - 2*m + 14 = -w, -2 = -2*m. What is the remainder when w - -15 - (-1)/1 is divided by 19/3 + 2/3?
5
Suppose -97 - 63 = -5*s. Calculate the remainder when s is divided by 13.
6
Let t(u) = -3 + 2*u + 1 + 0*u. Let y be t(-4). Let x = y - -30. What is the remainder when x is divided by 11?
9
Let o(w) = -w + 10. Calculate the remainder when o(-12) is divided by 8.
6
Let j = 36 - 9. Calculate the remainder when 78 is divided by j.
24
Suppose 4*u = x - 13, -4*u + 5*u = -1. What is the remainder when 34 is divided by x?
7
Let w(h) = -2*h**2 - 16*h - 4. Let p(d) = -d**2 - 8*d - 2. Let x(j) = 7*p(j) - 3*w(j). Calculate the remainder when 37 is divided by x(-6).
7
Suppose -160 - 20 = -4*g + 4*p, -3*p - 12 = 0. Calculate the remainder when 163 is divided by g.
40
Suppose 2*m - 315 = -3*m. Calculate the remainder when m is divided by 14.
7
Suppose 0 = -5*j - 4*p - 18, 0*j - 4*p - 10 = j. What is the remainder when 19 is divided by (3/j)/((-6)/40)?
9
Suppose 5*i - 12 - 28 = 0. Calculate the remainder when 945/20 + (-2)/i is divided by 16.
15
Suppose -1 - 4 = -y + 4*s, 0 = 5*y + 2*s - 25. Suppose 7*c - y*c = 0. What is the remainder when 0 + 0 - (c + -23) is divided by 12?
11
Let d = -53 + 38. Calculate the remainder when (24/d + 0)*-10 is divided by 6.
4
Let m = 9 + -6. Suppose m*v - 9 = -0. Suppose -3*o - 5*d = 10, 5*o = 3*d + 39 + 1. What is the remainder when o is divided by v?
2
Suppose 6*n - 4*n - 30 = 0. What is the remainder when n is divided by 9?
6
Suppose -w = 3*w + 3*c - 31, -2*c = -2. Calculate the remainder when 12 is divided by w.
5
Let z(b) = 20*b**2 - 2*b - 1. Calculate the remainder when z(1) is divided by 6.
5
Suppose -3*n + 11 = -4*v - 4, -n = -v - 6. What is the remainder when n is divided by 4?
1
Suppose 0 = -n + 2*v + 305, -7 + 23 = -4*v. What is the remainder when n is divided by 23?
21
Suppose 0 = 4*q - 2*q. Let f(l) = l**2 - l + 2. Let a be f(q). Suppose -4*s = -2*s - a. Calculate the remainder when s is divided by 1.
0
Suppose -31 = -5*s - 11. Suppose 3*p + 22 = 2*c + 7, s*c - 23 = -p. Let f = 15 + -5. What is the remainder when f is divided by c?
4
Let w = 30 + -24. What is the remainder when w is divided by 4?
2
Suppose 2*t + 5*l - 14 = 0, 3*l + 0*l - 14 = -4*t. Suppose t*y = 4*y - 6. What is the remainder when 18/15*20/3 is divided by y?
2
Let x(v) = -v + 33. What is the remainder when x(-14) is divided by 12?
11
Suppose -61 - 43 = -2*h. What is the remainder when h is divided by 11?
8
Suppose 3*j + 9 - 3 = 0. Let i = j + 2. Suppose -3*m - 2*f = -i*f - 19, -4*m - 3*f = -27. What is the remainder when 8 is divided by m?
2
Suppose -f - 4*n = 2*f + 9, -f = -n + 3. Let p be (4/6)/(1/f). Let s(y) = -2*y**3 - y**2 + 1. What is the remainder when 50 is divided by s(p)?
11
Suppose 23*c - 17*c = 210. What is the remainder when c is divided by 14?
7
Suppose u - 168 = -3*u. Suppose -z + 4 = 1, -4*z = -3*p + u. What is the remainder when 52 is divided by p?
16
Suppose -2*s + 146 = -0*s. Let p = 105 - s. Calculate the remainder when p is divided by 11.
10
Let w = 19 - 10. What is the remainder when 52 is divided by w?
7
What is the remainder when (4 - (1 + -6))*3 is divided by 10?
7
What is the remainder when -2 - (3 - 5) - 54/(-2) is divided by 14?
13
Let i(s) = 3*s + 4. Let t be i(6). Suppose t = n + n. What is the remainder when n is divided by -1*-4*2/2?
3
Suppose 4*d + 18 = b + 2, 5*b - 2*d - 26 = 0. Suppose 5*i + 4*c - 53 = 0, -2*i + b*i = 3*c + 12. Let a = 29 - 3. Calculate the remainder when a is divided by i.
8
Suppose b + 5 = 2*t + 20, -3*b - 2*t + 77 = 0. Calculate the remainder when b is divided by 12.
11
Suppose -2*z + 106 = 5*x, 5*z + 76 = x + 2*x. Calculate the remainder when x is divided by 8.
6
Let h = -53 - -82. Let j = h - 19. What is the remainder when 29 is divided by j?
9
Let x(z) = 3*z + 4. What is the remainder when x(4) is divided by 6?
4
Suppose -3*p - 27 = -3*i, 4*p + 2 = 3*i - 22. What is the remainder when (-69)/2*2/(-3) is divided by i?
11
Let p = -20 - -37. Suppose 2*n + 2*x + 20 = 0, 1 = -4*n - x - 51. Let h = n - -20. What is the remainder when p is divided by h?
5
Suppose 2*z - 7*z + 325 = 0. Suppose 88 = 7*c - 3*c. Calculate the remainder when z is divided by c.
21
Suppose v + 4*d + 11 - 3 = 0, -4*v = 2*d - 10. Let y(j) = 4*j + 3. What is the remainder when 56 is divided by y(v)?
18
Let b(r) = -r**3 + r + 1. Let o be b(0). Let n = -45 + 41. Calculate the remainder when 4 is divided by (n/(-6))/(o/3).
0
Let z(m) = -m. Let y be z(0). Suppose 4*h = 4*q - q + 37, y = -2*h + 4*q + 6. Calculate the remainder when 50 is divided by h.
11
Let f(m) = m**3 + 10*m**2 - 5. What is the remainder when f(-9) is divided by 26?
24
Let u = -2 + -3. Let t = u + 8. Let j = 11 - t. Calculate the remainder when 23 is divided by j.
7
Let f = 0 - -10. What is the remainder when 38 is divided by f?
8
Let c = -45 - -74. Calculate the remainder when c is divided by 10.
9
Suppose 0 = c + 3*c - 24. Let f be ((-4)/3)/(1/c). Calculate the remainder when 49 is divided by (-2)/f + (-268)/(-16).
15
Suppose f + 0*x = -2*x + 48, -4*f + 2*x = -212. Suppose 38*w - 232 = 110. Calculate the remainder when f is divided by w.
7
Let h(d) = -2*d + 3. Let a(m) = m - 2. Let b(k) = 3*a(k) + 2*h(k). What is the remainder when 14 is divided by b(-5)?
4
Suppose 0 = -0*h + h - 8. Suppose 0 = -g - 2*g + 9. What is the remainder when h is divided by g?
2
Suppose 33 = 12*f - 11*f. Calculate the remainder when f is divided by 5.
3
Suppose 0 = -5*p - 5*v, 4*p - 2*v = 2*v + 40. Calculate the remainder when 16 is divided by p.
1
Let p be (-45)/6*(-12)/10. Let h(j) = j**2 - 7*j - 12. What is the remainder when 15 is divided by h(p)?
3
Suppose c + 9 = 2*c + q, -2*c = 3*q - 14. What is the remainder when c is divided by 4?
1
Suppose 3*m + 6 + 15 = 0. Suppose -3*c + 36 - 6 = 0. Calculate the remainder when (-6)/m*(17 - -4) is divided by c.
8
Let s(f) = -2*f - 9. What is the remainder when s(-7) is divided by 0 + 1 - 0 - -2?
2
Let b(n) = 2*n**2 + 3*n + 1. Let t be b(-2). Let u = t + 0. Let r(z) = z**2 - 2*z + 2. Calculate the remainder when 14 is divided by r(u).
4
Suppose 12 = -3*t - 0*t, 0 = 5*r - 3*t - 97. What is the remainder when r is divided by 6?
5
Let v(r) = -r**2 - 15*r - 19. What is the remainder when 26 is divided by v(-13)?
5
Let f = -19 - -28. Suppose 4*i + 2*t = 126, 4*i - 137 = -4*t - 17. What is the remainder when i is divided by f?
6
Suppose -4*v - 3*l = 34, l = 4*v - l + 24. What is the remainder when 15 is divided by 1 + v/((-14)/8)?
0
Let g(o) = o**2 + 13*o + 15. Let i be g(-12). Let n = 0 + i. What is the remainder when 9 is divided by n?
0
Let u = 148 + -76. Suppose 5*z + 4*c - u = 5*c, 4*c + 78 = 5*z. What is the remainder when 26 is divided by z?
12
Calculate the remainder when (-200)/(-6) - 16/(-24) is divided by 17/1 + (2 - 1).
16
Let x = 33 + -13. Let d = -93 - -172. What is the remainder when d is divided by x?
19
Let f(r) = r + 12. Suppose 2*z + 2*y = 2 + 6, 2*z - 4*y = 2. What is the remainder when z is divided by f(-9)?
0
Let r(k) = -2*k**3 - 2*k**2 - 7*k - 8. What is the remainder when 80 is divided by r(-2)?
10
Let y(g) = g**3 + 8*g**2 - 2*g + 1. What is the remainder when y(-6) is divided by 22?
19
Let g(h) = h + 9 + 4 - 2 + 4. Let k be g(-9). Let o = -4 + k. Calculate the remainder when o is divided by 1.
0
Let n = 196 + -66. Suppose 0 = m - u - 35, -3*m + 4*u - 6*u = -n. Calculate the remainder when m is divided by 14.
12
Suppose -4*i - 4 = -20. Suppose i*b + b = 90. What is the remainder when ((-3)/(-2))/((-3)