
Suppose 29 = -5*v + 84. Let y(c) = -c**2 - 7*c - 5. Let b = -9 - -5. Calculate the remainder when v is divided by y(b).
4
Let u(c) = -2 + 2 + 15*c - 2. What is the remainder when u(5) is divided by 19?
16
Suppose 1 = c + 20. Let h = c + 32. Suppose 3*v + 4*j = -2*v + 125, 0 = 5*v - j - 125. Calculate the remainder when v is divided by h.
12
Let k be (45/(-6))/((-1)/(-2)). Calculate the remainder when 16 is divided by (18/(-5))/(6/k).
7
Suppose 0 = 3*p - 9, f - 4*p + 21 = 4*f. What is the remainder when 23 is divided by 9 + f + 0 - -1?
10
Suppose -2*d - 3 = 2*h - 21, 0 = -4*h - 16. Let z = 127 + -76. What is the remainder when z is divided by d?
12
Suppose o = 6*o - 50. What is the remainder when o is divided by 3?
1
Let f = 36 + -33. What is the remainder when 14 is divided by f?
2
Let j = 152 + -123. Let n = 4 - -1. Calculate the remainder when j is divided by n.
4
Suppose 3*a = 4*i - 53, -3*a = -4*i - 2*a + 47. Suppose 2*h + h - 12 = 2*n, -2*n + 36 = 5*h. Calculate the remainder when i is divided by h.
5
Suppose -3*b = -2*b - 12. Let k(u) = -u**3 - 2*u**2 + 3*u + 3. What is the remainder when k(-4) is divided by b?
11
Suppose 0*f - f = 5*o - 58, 0 = o - 5*f + 4. Calculate the remainder when 52 is divided by o.
8
Let q(w) = 2*w**2 - 2*w - 4. What is the remainder when 23 is divided by q(-2)?
7
Suppose 0 = -0*p - 4*p + 12. Suppose 2*v = 2*z - 34, v - 51 = -p*z + 5*v. What is the remainder when z is divided by 10?
7
Let n be (-2 - (-4)/1)/1. What is the remainder when (-1)/n + 45/6 is divided by 4?
3
Let o(m) = m**3 + 11*m**2 - 16*m + 9. Calculate the remainder when o(-12) is divided by 15.
12
Let c = 47 - 37. Calculate the remainder when c is divided by 6.
4
Suppose i - 2 + 4 = 4*q, 4*i - 52 = -4*q. Let a(w) = 6*w**2 - 4*w + 3. What is the remainder when a(2) is divided by i?
9
Suppose 0*z + 6 = 3*z. Let u(r) = -r**3 - 5*r**2 - 4*r + 2. Let g = -3 + -1. What is the remainder when z is divided by u(g)?
0
Let p(r) = 12*r - 14. Calculate the remainder when 40 is divided by p(3).
18
Suppose t = -8 + 29. Suppose 2*s = s + t. What is the remainder when 40 is divided by s?
19
Let r = -43 - -88. Suppose -o - 22 = -3*a + 42, -31 = -2*a + 3*o. What is the remainder when a is divided by r/(-20)*32/(-6)?
11
Suppose 3*l + 72 = 9*l. Calculate the remainder when l is divided by 2.
0
Let b(y) = y**3 - 3*y**2 - 5*y + 4. Let x be b(4). Suppose -4*q + 56 = 4*l, -l + x*l = -q - 16. What is the remainder when 58 is divided by l?
13
Suppose 244 = 4*i + 28. Let y = 13 + i. Suppose 6*l + u = l + y, 0 = -3*l - 2*u + 43. What is the remainder when 24 is divided by l?
11
Suppose -3*d + 130 = 10*d. What is the remainder when 97 is divided by d?
7
Calculate the remainder when ((-2)/2)/((-1)/41) is divided by 21.
20
What is the remainder when -2 + (260/6 - (-4)/(-12)) is divided by 22?
19
Suppose -3*s - 3*t + 29 = 2, -2*s = -5*t - 11. Let f(q) = q**2 - 6*q. Let x be f(6). Let z(n) = n + 3. Calculate the remainder when s is divided by z(x).
2
What is the remainder when 76 is divided by (0 - (2 - 0))*11/(-2)?
10
Suppose 0 = -2*q + 4*q. Suppose 2*v = -q*v + 20. What is the remainder when v is divided by 80/14 - 2/(-7)?
4
Let d = 50 - -27. What is the remainder when d is divided by 20?
17
Suppose -5*v = -10, 5*v - 31 = -3*m + 24. Calculate the remainder when m is divided by 8.
7
Suppose z = -5 - 13. Calculate the remainder when (-21)/(-42) + 134/4 is divided by z*(-2 + 8/6).
10
Suppose -70 = u - 6*u. Suppose 0 = -4*q + 3*h - 2*h + 37, 5*h = 5*q - 65. Calculate the remainder when u is divided by q.
6
Suppose -39*l = -35*l - 36. Calculate the remainder when l is divided by 7.
2
Suppose -2*k = r - 3, -4*k = -0*r - r + 3. Suppose -23 = -5*t + 27. Calculate the remainder when t is divided by r.
1
Let h = 11 - 7. Suppose 38 = h*o - 30. What is the remainder when 49 is divided by o?
15
Suppose -7 = -2*s + 43. What is the remainder when s is divided by 14?
11
Let y = 10 - 2. Let p = 5 - y. What is the remainder when 1*(-1 - p - -23) is divided by 13?
12
Let s(v) = v**3 + 16*v**2 - 19*v - 19. Calculate the remainder when s(-17) is divided by 6.
3
Let t(k) = k**2 - 5*k + 2. Let v(p) = -6*p + 1. Let j be v(1). Let d = 11 + j. Calculate the remainder when t(7) is divided by d.
4
Let i(u) be the first derivative of u**4/4 - u**3 - 5*u**2/2 + 6*u - 10. Calculate the remainder when 5 is divided by i(4).
1
Suppose 0 = -d + 41 + 2. Let b = -39 - -48. Calculate the remainder when d is divided by b.
7
Suppose 0 = -4*l - x + 9 + 7, l - 4 = -5*x. Let h be (-3)/21 + 375/(-21). What is the remainder when (-183)/h - 3/18 is divided by l?
2
Let o = -34 - -70. What is the remainder when 105 is divided by o?
33
What is the remainder when 32 is divided by 7 + -3 + (-14)/(-2)?
10
Let v be (-4)/18 + (-228)/(-54). Let j(k) = k**2 - k**3 + 3 + v*k**2 - 4*k + k**2 + 0*k**3. Calculate the remainder when 31 is divided by j(2).
9
Suppose b + 25 = -0*o + o, 5*b - 91 = -4*o. What is the remainder when o is divided by (-2)/(-7) + 178/14?
11
Let d = 22 - 11. Suppose 3*y - 2 = -i + 7, -i = 3. What is the remainder when d is divided by y?
3
Let y(f) = f**2 + 7*f + 11. Let r be y(-11). Suppose 5*w = -2*p - 3*p + 440, -355 = -4*w - p. Let l = w - r. Calculate the remainder when l is divided by 12.
10
Let t be (5 + -6)/(1/(-2)). Suppose c = -5*x + 33, t*c - 23 = x - 1. Suppose c = v + 4. Calculate the remainder when 26 is divided by v.
8
Let i = 251 - 18. What is the remainder when i is divided by 26?
25
Suppose -2*f + 61 = -5*c, c - 1 = 4*f - 96. Calculate the remainder when f is divided by 4/(-14) + 44/7.
5
Suppose w = -m - 3, -w - w = 3*m + 10. Suppose 2*k = -3 - w. Let h = 9 + k. Calculate the remainder when 11 is divided by h.
4
Let c be (0 - 0) + 1 + -5. Let r be ((-59)/c)/((-5)/(-20)). Let f = 89 - r. What is the remainder when f is divided by 16?
14
Suppose 2*m - 11 = t + 6, 0 = t - 3. Calculate the remainder when 23 is divided by m.
3
Suppose 0 = l + 4*l + c - 295, c - 179 = -3*l. Let v be 1/1 + (-5 - -99). Suppose -v + 20 = -5*i. What is the remainder when l is divided by i?
13
Suppose -2*q - 446 = -5*t - 3*q, -449 = -5*t - 4*q. What is the remainder when t is divided by 23?
20
Suppose b + 2*m - 12 = 2, 0 = m + 5. Calculate the remainder when 115 is divided by b.
19
Let y(a) = 15*a**3 - a. Let j be y(-1). Let c = j - -21. What is the remainder when 27 is divided by c?
6
Suppose 2*a - 5*g - 23 = -3, -a - g = -3. Suppose -a*s = -0*s - 90. What is the remainder when s is divided by 10?
8
Suppose -2*r = -6*r + 12. Let v = -4 + -1. What is the remainder when v/((-10)/6) - -4 is divided by r?
1
Suppose 2*v - 80 = -5*o, 0 = o + 4*v - 10 - 24. What is the remainder when 27 is divided by o?
13
Suppose -3*k = 5*v + 2*k - 285, 3*k = -v + 63. What is the remainder when v is divided by 15?
9
Let s(n) = -n + 1 + 2*n + 0 + 20*n. What is the remainder when s(1) is divided by 12?
10
Suppose -7*s + 35 = -7. Calculate the remainder when s is divided by 4.
2
Let h(n) = 0*n - n - 8 + 2. Let j be h(-9). Suppose -30 + 6 = -j*v. Calculate the remainder when 15 is divided by v.
7
Let k(l) = l**2 - l + 10. What is the remainder when 148 is divided by k(-4)?
28
Suppose -3*x + 46 = 5*l, 3*l + 0*x - 22 = x. Suppose l = 4*f - 20. Let k(v) = v**3 - 4*v**2 + 4*v. Calculate the remainder when f is divided by k(3).
1
Let c(s) = 2*s**2 - 4*s + 2. Suppose 4*y + 0*y = 60. Calculate the remainder when y is divided by c(3).
7
Let r be 2*-2 - -2 - -5. Suppose 2*q + r*c = 23, 5*c + 68 = 5*q + 2*c. Let m(k) = k + 16. Calculate the remainder when q is divided by m(-11).
3
Let n be 18/(0 - 2/2). Let i = 8 + n. Let j = -5 - i. Calculate the remainder when 13 is divided by j.
3
Let q = -36 - -43. Calculate the remainder when 31 is divided by q.
3
Suppose -z = -r + 7, 26 = 4*r - z - z. Let w(k) = -3*k - 1. Let l be w(-7). Suppose 0 = 5*y + l, -5*y = i + 1 + 3. What is the remainder when i is divided by r?
4
Let k(q) = 14*q + 5. Let f be k(6). Suppose 3*g = 2*g - 3*h + 35, f = 3*g + h. Suppose 10 = 97*s - 96*s. Calculate the remainder when g is divided by s.
9
Suppose -44 = x + 6. Let v = x - -79. What is the remainder when v is divided by 1/1*15/1?
14
Suppose -5*o + q = -146, -2*q + 6 = 8. What is the remainder when o is divided by 10?
9
Let u(a) = a*