9 - 59. Let i = p - -47. What is the remainder when i is divided by w?
5
Suppose -2*a + 13 = -9. Suppose 2*f + 2*y - 7*y = 23, -4*f + 2*y = -22. Suppose 0 = c + f*c - 160. Calculate the remainder when c is divided by a.
10
Suppose 5*h - 5 = -5*g, -5*h + 3 = g + 22. Calculate the remainder when 29 is divided by g.
5
Suppose 3*h = 5 - 41. Calculate the remainder when 46 is divided by 4/h - 146/(-6).
22
Calculate the remainder when 39 is divided by (-12)/30 - 214/(-10).
18
Suppose -z - h + 2*h = 83, 2*z + 161 = 3*h. Calculate the remainder when (2/2)/((-2)/z) is divided by (-2)/1 + (-1 - -18).
14
Let d = 3 - -4. What is the remainder when 39 is divided by d/14 - 78/(-4)?
19
Let a = 16 - -9. What is the remainder when 47 is divided by a?
22
Let y(u) = -u**2 - 5*u - 2. Suppose 1 = 5*b - 9. Calculate the remainder when y(-4) is divided by b.
0
Suppose 12*y = 9*y - 144. Let c = y + 68. What is the remainder when c is divided by 7?
6
Let a = -22 - -47. Calculate the remainder when a is divided by 7.
4
Suppose 120 = 5*f + 50. Let u(j) = j**2 + 6*j + 8. What is the remainder when f is divided by u(-6)?
6
Let l = -25 - -45. Suppose g - 6*g = -l. Calculate the remainder when 5 is divided by 10/g + (-3)/(-6).
2
Let k be (-4)/4*-13 + 2. Suppose 5*y = k + 220. What is the remainder when y is divided by ((-2)/(-5))/(1/30)?
11
Suppose -9 = -2*p + 3. Let k = 40 + -16. What is the remainder when k is divided by (-117)/p*2/(-3)?
11
Suppose 32 = 3*y + 5. Let g(d) = 32*d**3 + d. Let r be g(1). Let i = r - 17. What is the remainder when i is divided by y?
7
Let w(z) = -z**2 - 11*z + 6. Let v be w(-12). Suppose k = c - 8, -4*c + k = 6*k - 5. What is the remainder when c is divided by (-2)/6 - 20/v?
2
Suppose 3*d - 34 - 122 = 0. What is the remainder when d is divided by 780/45 + 4/6?
16
Let k = -12 - -90. Calculate the remainder when k is divided by 8.
6
Let s be (-2)/(4/2)*-2. Suppose -s*g = -2*h - 144, g - 3*h + 222 = 4*g. Suppose -g = -5*x + 7. Calculate the remainder when x is divided by 6.
4
Suppose 0 = 3*i - y - 16, 3*i + 2*y - 4 = -0. Suppose i*q + 0*q = 8. What is the remainder when q is divided by 1?
0
Let a be (5/15)/(2/(-18)). Calculate the remainder when 33*a/(9/(-2)) is divided by 6.
4
Suppose -3*h + 29 = 4*o - 25, -3*o = h - 43. Calculate the remainder when 57 is divided by o.
12
Let b(v) be the third derivative of v**5/60 - v**4/6 - v**3/6 - 2*v**2. Calculate the remainder when 10 is divided by b(5).
2
Let g = 3 - 1. Let j = -3 + 6. Suppose 20 = 2*d + j*d. Calculate the remainder when d is divided by g.
0
Let d = -190 - -284. Let o = -60 + d. Suppose x - 4*b - o = 0, -b = -3*x + 52 - 5. What is the remainder when 40 is divided by x?
12
Suppose -p = -3 - 37. Let o = -22 + p. Calculate the remainder when 53 is divided by o.
17
Let j(b) = 3*b**3 - 2*b**2 + b. Calculate the remainder when j(1) is divided by 1.
0
Suppose 5*w + 5*c = c + 126, -3*w + 54 = -3*c. What is the remainder when 108 is divided by w?
20
Let k(x) = x**3 - 6*x**2 - 12*x + 12. What is the remainder when k(8) is divided by (-2 - (4 - 7))*15?
14
Let w = 28 - 21. Calculate the remainder when 12 is divided by w.
5
Suppose 0 = -3*f + 3*z - z + 46, 3*f = 4*z + 56. Calculate the remainder when (139 + 2)*1/3 is divided by f.
11
Suppose -t + 2*f = 6, 13 = 4*f - 7. Suppose 73 = t*u - 3. Calculate the remainder when u is divided by 7.
5
Suppose 2*u - a - 20 = a, -2*a = 3*u - 45. What is the remainder when 77 is divided by u?
12
Suppose -4*x - 140 = -2*u - 50, 3*x = 2*u - 85. Let w = u - 24. Calculate the remainder when 31 is divided by w.
9
Let z = -132 + 139. Calculate the remainder when 12 is divided by z.
5
Suppose -5*w + 139 = -51. Suppose -c + 4*c = 75. Suppose -f - 4*p - 3 = 0, f + p - c = 4*p. What is the remainder when w is divided by f?
12
Let g(c) = -3*c**3 - 9*c**2 + 17*c + 6. Calculate the remainder when g(-5) is divided by 12.
11
Let s(v) = -v. Let c be s(0). Suppose c*p - 2*p + 22 = 0. What is the remainder when 20 is divided by p?
9
Suppose 0 = 2*s - 2 + 4. Let b = s - -2. Suppose p = 3*g + 16, g - 2*g = -b. Calculate the remainder when 55 is divided by p.
17
Suppose -8 + 0 = -5*z + 2*h, 0 = -3*z + 3*h + 12. Suppose 5*f - 2*l - 38 = -z*l, -f + 9 = l. Let c = -19 - -40. What is the remainder when c is divided by f?
5
Let b = 51 + -29. Suppose -3*q - 2*g + b = 3*g, -4*q = 5*g - 36. Calculate the remainder when 2/6 + (-154)/(-6) is divided by q.
12
Suppose 5*l = l + 3*n - 32, 0 = 4*n. Let w = l - -14. What is the remainder when 9 is divided by w?
3
Let c(q) = -6*q + 1. Let z be c(-1). Let n be z - (0 - (0 - 1)). Suppose n = t - 4. Calculate the remainder when t is divided by 3.
1
Let h = 33 - 23. What is the remainder when 58 is divided by h?
8
Suppose -5*f = -8*f - 9. Let v(b) = -3*b + 3. What is the remainder when 46 is divided by v(f)?
10
Let j = 60 + -43. What is the remainder when 64 is divided by j?
13
Let j be (-2)/(-9) - 61/(-9). Calculate the remainder when 33 is divided by j - (-2 - 0/3).
6
Let d(w) = w**3 - 2*w**2 - 3*w - 2. Let j be d(-2). Let p be (-78)/(-3) + -2 + (9 - 4). What is the remainder when 14 is divided by p/4 - 9/j?
6
Suppose 2*y + 140 = -0*y. Let w = 110 + y. Suppose -x - 4*h = -10, x + 3*h = 5 + 6. Calculate the remainder when w is divided by x.
12
Let b(i) = i**3 + 14*i**2 + 10*i. What is the remainder when b(-13) is divided by 8?
7
Let r be (-20)/12*6/(-2). Suppose -r*v + 256 = 3*j + 35, 2*v - 4*j - 78 = 0. What is the remainder when v is divided by 11?
10
Calculate the remainder when (4/(-10))/(1/(-225)) is divided by 31.
28
Let s = 8 + -5. Suppose 0*q + 2*q + 42 = 4*c, q = s*c - 32. Suppose n + 4 - c = 0. What is the remainder when 25 is divided by n?
4
Let f(j) = j**2 - 14*j + 59. Suppose -3*w + 9 = 0, 0 = 2*i - w - 79. What is the remainder when i is divided by f(8)?
8
Let i(m) = m**3 - 6*m**2 + 6*m + 13. What is the remainder when i(6) is divided by 13?
10
Let z(j) = -j**3 - 14*j**2 - 6. Let u be z(-14). Let d = u + 10. What is the remainder when 14 is divided by d?
2
Let j = -32 + 55. Calculate the remainder when 68 is divided by j.
22
Let h(q) = q**2 - 2*q. Calculate the remainder when h(-5) is divided by 9.
8
Let c = 7 + -7. Suppose c*t - 8 = -4*t. Calculate the remainder when 4 is divided by t.
0
Let x = 6 + -6. Suppose -65 = -5*j - x*j. What is the remainder when 23 is divided by j?
10
Let d be 3/(-6) - (-9)/2. Let a = d - 1. What is the remainder when 4 is divided by a?
1
Calculate the remainder when (0 + 20/(-12))*-27 is divided by 16.
13
Let b = -20 - -50. Calculate the remainder when b is divided by 12.
6
Suppose 20 = 5*g - 15. Let t(i) = -3*i + 6 + 6*i - 4*i. What is the remainder when t(-6) is divided by g?
5
Suppose 0 = 5*n - 32 - 163. Calculate the remainder when n is divided by 14.
11
Suppose -52 = -2*s - 4*r, -3*r + 36 = s + 8. Calculate the remainder when 38 is divided by s.
16
Suppose -2*x - 3*a = -4*a - 25, 0 = -2*x + 3*a + 27. Suppose -s + x = z, -24 = -s + 6*z - 11*z. What is the remainder when 16 is divided by s?
7
Suppose 0 = -n + 7*n - 138. Calculate the remainder when n is divided by 9.
5
Calculate the remainder when -4 + (-45)/((-5)/1) is divided by 3.
2
Suppose -32 = -2*d + d. What is the remainder when 94 is divided by d?
30
Calculate the remainder when 52 is divided by ((-3)/(-5))/((-3)/(-135)).
25
Suppose -4*i - 5*w + 75 = 0, -2*i - 3*w = -2*w - 33. What is the remainder when i is divided by 4?
3
Let v be (-2)/(-1) + -1 + -117. Calculate the remainder when (v/(-20))/((-3)/(-15)) is divided by 8.
5
Let j = -3 + 11. What is the remainder when j is divided by 6?
2
Let c(j) = -2*j - 4. Suppose 0 = 3*r + 4*w - 43, 2*w + 11 = 2*r - r. What is the remainder when r is divided by c(-4)?
1
Suppose -4*f + 620 = f. Suppose f = -4*k + 8*k. Calculate the remainder when k is divided by 16.
15
Suppose 4*i - 2*i - 156 = -4*c, -3*i + 6 = 0. What is the remainder when c is divided by 14?
10
Suppose 0 = 4*w + 28. What is the remainder when (58 + w)*(-1)/(-3) is divided by 5?
2
Let t(z) = -46*z**3 + 2*z**2 + 2*z + 1. Let l be (-2)/3*(-6)/(-4). Let s be t(l). Suppose 5*i = s + 13. Calculate the remainder when 34 is divided by i.
10
Let f = 15 + 43. Suppose y - 6 = 14. Calculate the remainder when f is divided by y.
18
Let w(g) = g**2 - 5*g -