- 20. Let s = b - 4. Calculate the remainder when 17 is divided by s.
5
Let g = -19 + 131. What is the remainder when g is divided by 23?
20
Suppose 2*z = 7*c - 3*c + 138, -3*c + 216 = 3*z. Calculate the remainder when z is divided by 18.
17
Let b(z) = -z**2 - 11*z - 11. Let o be b(-11). Let t = o - -40. Calculate the remainder when t is divided by (20/(-6))/(3/(-9)).
9
Let r(g) = 16*g + 1. Calculate the remainder when r(3) is divided by 26.
23
Suppose -9 = -2*u + 1. Let r be 9/(-3) - (-16 - 0). Suppose -u*w - r = -38. Calculate the remainder when 13 is divided by w.
3
Suppose 2*l = -4*x + 28, l - 5 = -4*x + 11. What is the remainder when 27 is divided by l - 6/(-4)*2?
12
Let l(k) = k**3 + 12*k**2 - 17*k + 1. Suppose 0 = -2*m - u - 24, m + 3*u = -8 + 1. Calculate the remainder when l(m) is divided by 14.
11
Suppose -2*h = 4 - 66. What is the remainder when h is divided by 11?
9
Suppose -112 + 148 = 12*p. Suppose 0 = f + f - 34. Calculate the remainder when f is divided by p.
2
Suppose v = -m - 1, 0 = 2*m - 5*m - 6. Calculate the remainder when 5 is divided by v.
0
Let r(i) = 3*i**2 + 3*i + 3. Calculate the remainder when 26 is divided by r(-2).
8
Suppose 5*x - 18 = -3. Suppose -2*j = x*j - 70. Let n = j + -7. What is the remainder when 20 is divided by n?
6
Let d be (-690)/(-8) + 6/8. Suppose -2*h - h + d = 0. Calculate the remainder when h is divided by 11.
7
Let n(p) = -3*p - p**2 + 3*p + p + 4*p**2 - 1. What is the remainder when 25 is divided by n(2)?
12
Suppose 6*y = 4*y + 4. Suppose 0 = -r + y*r - 12. What is the remainder when 45 is divided by r?
9
Let b(r) be the second derivative of -r**4/12 - 3*r**3/2 - 4*r**2 - 2*r. What is the remainder when 19 is divided by b(-6)?
9
What is the remainder when ((-3)/(-4))/(1/44) is divided by 17?
16
Let r(o) = 2*o + 1. Let i be r(-1). Let h be (i - 1)*(-2 - 12). Let w = h + -18. What is the remainder when w is divided by 4?
2
Suppose 3*k - 118 = 4*g + 28, 0 = -4*g - 8. What is the remainder when k is divided by 16?
14
Suppose -2*k = 1 + 1. Let l be (29 + k)/(6 - 4). Let p = l + -8. What is the remainder when p is divided by 4?
2
Suppose -2*q - d = 0, -4*q = -q - 3*d - 18. Let s(g) = -g + 1. Let o be s(-1). Let z = o + q. What is the remainder when z is divided by 3?
1
Suppose -4*t = -8*t - 2*j + 36, 0 = 5*t + j - 42. Let p = 62 + 22. Suppose w = 4*r - p, -4*w + 8 = -4*r + 80. What is the remainder when r is divided by t?
6
Let w = -9 - -11. Suppose 5*m - w*g = 65, 7*m = 3*m - 2*g + 34. What is the remainder when 31 is divided by m?
9
Suppose 0 = f - 13 - 6. Suppose 71 = -3*l + 5*y - y, -103 = 5*l + y. Let g = -11 - l. Calculate the remainder when f is divided by g.
9
Let w = 409 + -205. Calculate the remainder when w is divided by 69.
66
Let i(c) = c**3 - 8*c**2 + 12*c - 14. Calculate the remainder when i(7) is divided by 8.
5
Let v(j) = -7*j - 44. What is the remainder when 112 is divided by v(-9)?
17
Let c(m) = 3*m - 35. What is the remainder when 50 is divided by c(16)?
11
Let b(q) = q - 3. Let v be b(6). Suppose -v*o + 0*o - 45 = 0. What is the remainder when 4*5*(-6)/o is divided by 3?
2
Let w be (0 + 1)*2 + -2. Suppose w = -5*a + 2*s + 76, a + 5*s - 5 = 2*s. What is the remainder when 25 is divided by a?
11
Suppose -3*o = -8*o + 85. Calculate the remainder when o is divided by 6.
5
Suppose -30 = -5*r + 2*r. Calculate the remainder when 18 is divided by r.
8
Suppose -18 = 4*o - 7*o. Suppose 0 = -0*d - 5*d + 85. Calculate the remainder when d is divided by o.
5
Calculate the remainder when 51 is divided by ((-9)/4)/(4/(-48)).
24
Let q = -17 - -30. Suppose -5*p = q - 3. Let n(s) = 3*s**2 - 2*s - 2. What is the remainder when n(p) is divided by 5?
4
Let s = 11 - -31. What is the remainder when s is divided by 11?
9
Let m = -2 - 3. Let q(d) be the third derivative of -d**6/120 - d**5/20 + d**4/8 + 2*d**2. Calculate the remainder when q(m) is divided by 12.
11
Suppose -3*c - 2*c = -120. Suppose -4*x = 5*k + 15, 3*k + 2 = -0*x - x. Calculate the remainder when c is divided by k/3*(-39)/(-1).
11
Suppose -2*w = -2*g + 36, -6*g + 3*w = -2*g - 73. What is the remainder when 37 is divided by g?
18
Suppose -12 = 3*i, -5*t + 0*t = 5*i + 5. Suppose 0 = -t*d + 82 - 1. What is the remainder when d is divided by 10?
7
Suppose -8*z + 4*z = -88. Suppose -4*l = -2*l - z. What is the remainder when 43 is divided by l?
10
Suppose 7*v = 8*v - 5. What is the remainder when 23 is divided by v?
3
What is the remainder when 11 is divided by ((-12)/(-10))/((-1)/(-5))?
5
Let f = -18 + -8. What is the remainder when f*4/((-16)/6) is divided by 20?
19
What is the remainder when 6 is divided by 33/15 + (-12)/(-15)?
0
Let h(a) = -a + 25. Calculate the remainder when h(8) is divided by 5.
2
Suppose 0 = -5*l + 3*j + 38, -l + 3*l = 5*j. What is the remainder when 17 is divided by l?
7
Let n = -7 + 13. Calculate the remainder when n is divided by 5.
1
Suppose 0 = -0*o + o - 12. Calculate the remainder when 35 is divided by o.
11
Let q = 18 - 9. Suppose 6*k = -3*o + 4*k - 56, -o - 30 = -5*k. Let y = q - o. What is the remainder when y is divided by 10?
9
Let h(q) = q**2 - q + 3. Suppose -r + 5*r - 364 = 0. What is the remainder when r is divided by h(5)?
22
Suppose -46 + 6 = -5*o. Calculate the remainder when 12 is divided by o.
4
Let m(x) = 41*x - 4. What is the remainder when m(1) is divided by 11?
4
Suppose -p = -2*k + 5*k - 42, 4*k = -2*p + 76. Calculate the remainder when 27 is divided by (-5)/p + (-170)/(-12).
13
Let d(k) = k**2 - k + 2. Suppose 13 + 39 = 2*j. Calculate the remainder when j is divided by d(4).
12
Suppose 5*h - 147 = 3*y - 4*y, 5*y = 4*h - 106. Calculate the remainder when h is divided by 8.
5
Let q(w) = -w**2 - 2*w + 2. Let y be q(-2). Let n be y/(-13) + 45/39. Calculate the remainder when 2 is divided by (-3)/(-2) + n/2.
0
Let v(n) = -n**2 - 4*n + 7. Let s be v(-5). Suppose 0*g = s*h - 5*g + 4, -17 = -5*h - g. What is the remainder when (-69)/(-1)*2/h is divided by 24?
22
Suppose 14*n = 19*n - 215. Calculate the remainder when n is divided by 11.
10
Let w = -48 + 55. What is the remainder when 40 is divided by w?
5
Let u(p) = -p**3 + 3*p**2 + p + 1. Let c = 1 + -3. What is the remainder when 37 is divided by u(c)?
18
Let b(r) = -r**2 + 18*r - 14. Calculate the remainder when b(8) is divided by 35.
31
Suppose 10*y - 5*y - 410 = 0. Suppose 5*w = -3*a + 58, -w + 0*w + y = 5*a. Calculate the remainder when 30 is divided by a.
14
Let q(a) = a**3 - 5*a**2 + 4. Let d be q(5). What is the remainder when 126/d + 1/(-2) is divided by (-1)/2 + 92/8?
9
Let d(j) = 6*j**2 - 7*j. Let t(w) = -4*w**2 + 5*w. Let v(b) = -5*d(b) - 8*t(b). Let i = -13 - -27. What is the remainder when v(5) is divided by i?
11
Suppose -16 = 4*w, -c - 2*w - 6 = 15. Let r = c - -29. Suppose -3*q + 84 = 3*t, -167 = -5*q + 6*t - 2*t. Calculate the remainder when q is divided by r.
15
Let m(t) = -t**3 - t**2 + 3. What is the remainder when 60 is divided by m(-3)?
18
Suppose -p - k + 77 = 0, 5*k + 177 - 485 = -4*p. What is the remainder when p is divided by 20?
17
Let v(x) = -2 - 1 + 5 - 1 + 28*x. Suppose 4*k - 35 = 25. What is the remainder when v(1) is divided by k?
14
Let f = -7 - -9. Suppose -3*v - m + 78 = f*v, -4*v + 60 = 2*m. Calculate the remainder when 30 is divided by v.
14
Let i = -34 - -125. Let f(m) = m**3 + 6*m**2 - 3*m + 5. What is the remainder when i is divided by f(-6)?
22
Suppose 5*c - 6*c = 0. Calculate the remainder when 31 is divided by c - 2*51/(-6).
14
Suppose -49 - 26 = -5*c. Calculate the remainder when 43 is divided by c.
13
What is the remainder when ((-78)/9)/(4/(-18)) is divided by 375/18 - 2/(-12)?
18
Let m = 106 - 41. What is the remainder when m is divided by 22?
21
Suppose 2*b - 410 = -2*a - 148, 379 = 3*b - 4*a. What is the remainder when b is divided by 44?
41
Suppose 313 = 5*z - 42. What is the remainder when z is divided by 38?
33
Let z be (-14)/(-5) - (-1)/5. Suppose -z*t - 9 + 30 = 0. What is the remainder when 11 is divided by t?
4
Let v(x) = -7*x - 4. Calculate the remainder when v(-10) is divided by 8/(-36) - (-155)/9.
15
Suppose 0 = -u + 21 + 9. What is the remainder when u is divided by 11?
8
Suppose -3 = -w - 0*w. Suppose 2*l + 2*q + 21 = w*l, q + 96 = 5*l. Calculate the remainder when l is divided by