der when t(6) is divided by x(-7).
12
Suppose 0 = -3*v + w - 2*w + 8, -20 = 5*w. Suppose 0 = -113*u + 133*u - 140. What is the remainder when u is divided by v?
3
Suppose 3*x = -2*x + 165. Suppose 11 = 3*g - 3*n - 34, -78 = -4*g - 5*n. Calculate the remainder when x is divided by g.
16
Suppose 0 = 4*i + 4*h - 20, h = 4*i - 6 - 9. Let b = -1 + 3. Let d = b + 5. Calculate the remainder when d is divided by i.
3
Let r(z) = 8*z**2. Let c be r(4). Suppose 0 = -3*y - y + c. Calculate the remainder when y is divided by 11.
10
What is the remainder when (-24)/(-14)*350/20 is divided by 19?
11
Let a = -1 + 5. Suppose 43 + 25 = a*x. What is the remainder when x is divided by 6?
5
Let a(n) = 3*n**2 + 8. What is the remainder when a(4) is divided by 19?
18
Suppose 5*z + x - 1362 = -411, 0 = 2*z - x - 386. What is the remainder when z is divided by 49?
44
Suppose 4*k - 7*k = -6. Suppose -k*r + 22 = -26. Suppose 0*z = 4*z - r. Calculate the remainder when 11 is divided by z.
5
Let v = -228 + 333. Let u = 8 + -5. Suppose 4*t - 5*z = v, 0*t + z = -u*t + 93. Calculate the remainder when t is divided by 16.
14
Suppose -2*y = -4*h + 30, 0 = -4*h - 5*y - 2 - 3. Suppose 0*t = -7*t + 28. Calculate the remainder when h is divided by t.
1
Let w = 136 + -256. What is the remainder when 36 is divided by 3/(w/(-38) - 3)?
17
Let n be 131*(8 - 3)*-1. What is the remainder when 54 is divided by n/(-35) + (-6)/(-21)?
16
Let y(m) = m**3 + 6*m**2 - 2*m - 3. What is the remainder when 35 is divided by y(-6)?
8
Suppose -10*h + 8*h = -148. Calculate the remainder when h is divided by 26.
22
Let k(s) = s**3 + 13*s**2 - 20*s - 15. Calculate the remainder when k(-14) is divided by 10.
9
Suppose f = 2*z - 17, 2*z = 4*z - 4*f - 14. Let c(d) = 7*d**2 - 2. What is the remainder when c(2) is divided by z?
8
Let u = -624 - -669. Let v = 68 + -44. What is the remainder when u is divided by v?
21
Suppose 9*s - 1565 = -107. What is the remainder when s is divided by 55?
52
Suppose 0 = -3*p - p + 20. What is the remainder when ((-105)/p)/(-1*1) is divided by 11?
10
Let o be (-9)/(-2) + 1/2. Suppose o*i = i + 16. What is the remainder when -11*2/(-2 + 0) is divided by i?
3
Let i(f) = -f**2 + 15*f + 14. What is the remainder when i(13) is divided by -2 + 3/((-6)/(-46))?
19
Let q(u) = -u**3 + 5*u**2 - 3*u + 2. Calculate the remainder when 38 is divided by q(2).
6
Let y = 165 - 151. Calculate the remainder when 124 is divided by y.
12
Suppose -6*i + 5*i = -34. Suppose -2*f = -4*f + i. Let w = -9 + f. What is the remainder when w is divided by 3?
2
Suppose 7*a = 4*a + 3*k + 261, 4*a = -k + 358. What is the remainder when a is divided by 23?
20
Let y = 30 + -13. Suppose -5*t - 3*s + 150 = 0, 5*t - 222 = 3*s - 42. Calculate the remainder when t is divided by y.
16
Suppose 76 - 16 = 4*c. Let n be (-10)/(5/(c/(-6))). Suppose -13 = -n*u - 38, 2*x = -4*u + 16. What is the remainder when 34 is divided by x?
16
Let i(z) = -6 + 4*z - 7 + 5. Let p be (-7)/(-2)*(3 + -1). Calculate the remainder when 38 is divided by i(p).
18
Let r(j) = j**3 + 5*j**2 - 10*j - 2. Let l be r(-7). Let t = l - -51. Calculate the remainder when t is divided by 8.
5
Let i(w) = -3*w - 8. Let x be i(-4). Suppose 3*z + 114 = k, -2*k + k + 79 = x*z. Calculate the remainder when k is divided by 34.
31
Let s = 53 - 31. Suppose 90 - 18 = 2*k. Let l = k - s. What is the remainder when 40 is divided by l?
12
Let x = 25 - 17. Suppose 0*g = -g + x. Suppose 3*q - j = 7, -3*j + 8*j = 2*q + 4. What is the remainder when g is divided by q?
2
Suppose 0 = -z - 2 + 7, -7 = x - 3*z. What is the remainder when 15 is divided by x?
7
Let q(f) = 34*f - 3. Let k be q(4). Suppose -2*h = -3*h + 4*v + 39, k = 3*h + 4*v. Calculate the remainder when h is divided by (15/(-4))/(4/(-16)).
13
Suppose 0*g + 9 = 3*g. Suppose -50 = -5*w + y + 3*y, g*w + 4*y = -2. Suppose -w*k = -4*k - 32. Calculate the remainder when 47 is divided by k.
15
Let t = -14 + -3. What is the remainder when 17 is divided by t/(-3) - 2/(-6)?
5
Let k be 6/21 - (-12)/7. Let j be -1 - -1*k - 2. Let i(x) = 4*x**2 - x. What is the remainder when i(j) is divided by 3?
2
Let z(j) = j**3 - 4*j**2 + 2*j - 6. Let g be z(4). Suppose -g*a + 4*f - 6 = 0, f + 2 = 5. Suppose 14 + 10 = 6*s. What is the remainder when s is divided by a?
1
Suppose -5*o + 44 = 9. What is the remainder when 32 is divided by o?
4
Let k = 8 + 2. What is the remainder when (400/(-4))/(-4) - -2 is divided by k?
7
Let q = 22 + 8. Suppose 3*h - 2 = 46. Let s = q - h. Calculate the remainder when 26 is divided by s.
12
Suppose -5*g + 11 = -44. Suppose 2*n = 2*i - 40, -5*n = -4*i - 41 + 123. Calculate the remainder when i is divided by g.
7
Suppose -2*a = -a + 14. Let q be (-6)/(-21) - (-4)/a. Let z = 29 - q. Calculate the remainder when z is divided by 10.
9
Let m = -8 - -13. Let y(b) = -b**2 + 9*b - 6. Let z(g) = -g + 1. Let s(l) = y(l) + 2*z(l). What is the remainder when 11 is divided by s(m)?
5
Let x(y) = 6*y + 3. Calculate the remainder when 79 is divided by x(3).
16
Let u(k) = -26*k - 1. Suppose -5*o = q - 98, -3*q + 294 = -o - 0*o. What is the remainder when q is divided by u(-1)?
23
Suppose 8 = 2*b - 0. Suppose -b*n + 150 = n. Suppose -6*q + 51 = -15. Calculate the remainder when n is divided by q.
8
Suppose 0 = 4*a - 2*w + 14, -4*a - 1 - 12 = -3*w. What is the remainder when a - 0 - 539/(-11) is divided by 12?
9
Suppose 4*n - 42 = -22. Calculate the remainder when 14 is divided by n.
4
Let w(l) be the third derivative of l**3 + 0 - 1/24*l**4 + 0*l - l**2. What is the remainder when w(0) is divided by 4?
2
Suppose -6 - 11 = s + 5*d, 3*d = -2*s - 13. What is the remainder when (-9)/6 + (-35)/s is divided by 9?
7
Let t = 50 + -22. Let r = t + 19. Let s(y) = -11*y - 6. Calculate the remainder when r is divided by s(-2).
15
Let r be (-2)/(-6) - (-4)/6. Let i(z) = 12*z**3 + z**2. Let k = 1 - -36. Calculate the remainder when k is divided by i(r).
11
Suppose 0 = 5*l - 4*u + 2 - 0, 0 = -5*l - 2*u + 16. Suppose l*g = -3 + 13. Suppose h = -2*h + 6. Calculate the remainder when g is divided by h.
1
Suppose -76 = -j - j. What is the remainder when j is divided by 2/(-6) - (-80)/6?
12
Let x = 113 - 100. Calculate the remainder when x is divided by 8.
5
Let m(l) = 4*l - 25. What is the remainder when m(11) is divided by 10?
9
Let f = 6 - 15. Let k = f - -10. Calculate the remainder when 37 is divided by (k + 1)*39/6.
11
Suppose 4*b = -4 + 12. Suppose -4 = 3*o - 3*k + b, 5*o - 40 = -5*k. Suppose 5*r - 10 = -0*r. What is the remainder when o is divided by r?
1
Suppose 2*q - s = 56, -5*q = 4*s - 51 - 115. Let d = 11 - 3. What is the remainder when q is divided by d?
6
Let j be -3 - (-1 + 2 + 17). Let s = 74 + j. Calculate the remainder when s is divided by 14.
11
Suppose -b + 2 - 7 = 3*p, -3*b - p + 17 = 0. Let z = -16 - -20. Suppose 18 - 6 = z*g. Calculate the remainder when b is divided by g.
1
Suppose p = -p - 14. Let t be (-51)/p - 8/28. What is the remainder when 285/t + (-4)/(-14) is divided by 14?
13
Suppose 7*f - 2*f - 15 = 0. Suppose 0 = f*q - q - 6. Suppose -q*o = -0*o - 45. Calculate the remainder when 28 is divided by o.
13
Let u = 229 + -208. Calculate the remainder when 1 + 2 + (-72)/(-2) is divided by u.
18
Let w = 27 - 1. Let u be 1/(3 - (-8)/(-3)). Suppose -2*k = -8, 0 = -4*f + u*f + 5*k - 6. Calculate the remainder when w is divided by f.
12
What is the remainder when 21 is divided by 4/22 - (-128)/22?
3
Let x(w) = -2*w - 6. What is the remainder when 25 is divided by x(-10)?
11
Suppose -5*s + o = -148, 5*s - 4*o - 128 = s. Let g = -8 + s. Calculate the remainder when 39 is divided by g.
18
Suppose 22 = 25*f - 478. Calculate the remainder when 54 is divided by f.
14
Let s(a) = a**2 + 4*a + 19. Calculate the remainder when s(-5) is divided by 13.
11
Suppose -2*y - 1 + 55 = 0. Let b be (-2)/8 - (-981)/36. What is the remainder when y is divided by (14/3)/(9/b)?
13
Let o = 3 + -3. Suppose 0 = 4*t + 6 + 2, o = -3*k + t + 29. Calculate the remainder when 15 is divided by k.
6
Calculate the remainder when 44 is divided by 98/8 - (-2)/(-8).
8
What is the remainder when 49 is divided by ((-351)/(-13))/((-6)/(-4))?
13
Let n(x) = 4*x + 58. What is the remainder when 69 is divided by n(-11)?
13
Suppose 5*f + 0*f - 45 = 0. Suppos