uppose z = 4*d + g, 0 = -d - d + g + 39. Calculate the remainder when d is divided by 10.
9
Suppose -2*m - 49 = -9*m. Suppose 30 = m*d - 187. Calculate the remainder when 60 is divided by d.
29
What is the remainder when (-384)/1056 + (-2010)/(-22) is divided by 21?
7
Let b(h) = -h**3 - 24*h**2 - 28*h - 14. Calculate the remainder when 503 is divided by b(-23).
99
Suppose 299 + 1362 = 11*g. Calculate the remainder when g is divided by 31.
27
Suppose -f = -5*f + 20. Suppose 8 = -2*l, -f*q - 5*l = -q - 160. Suppose -d - q = -4*d. Calculate the remainder when 73 is divided by d.
13
Suppose -349 = 6*j - 25. Let v be (-4 + j/(-15))*-10. Calculate the remainder when 43 is divided by v*-1 + (-135)/(-9).
10
Suppose -2*o + 5*r = -253, 4*o - 5*r = -4*r + 515. Calculate the remainder when o is divided by 10.
9
Suppose 5*y - 2*b - 215 = 0, 5*y + 4*b = 2*y + 155. What is the remainder when y is divided by 24?
21
Let f(q) be the second derivative of q**5/20 - q**4/4 - q**3 - 2*q**2 - 11*q. Calculate the remainder when 31 is divided by f(5).
15
Let t(i) = 3*i**2 - 3*i + 3. Let u be t(5). Suppose -n + 7 + u = 0. Calculate the remainder when n is divided by 24.
22
Let l(m) = 8*m**2 + 16*m - 23. Suppose 5*d - 40 + 15 = 0. Calculate the remainder when l(d) is divided by 65.
62
Let h = 198 - 70. What is the remainder when h is divided by 26?
24
Let x be -8 - 1/3*-33. Suppose -2*c = -10, -3*c - 25 = 5*h - 7*c. Calculate the remainder when (-5)/(h + x - 3) is divided by 3.
2
Let b be (25 - 0 - 3)*3. Suppose b = -0*s + 6*s. Calculate the remainder when 42 is divided by s.
9
Suppose -5*m = -3*m - 4. Suppose -4*i + 106 = -2*b, 19 = m*i + 3*b - 22. What is the remainder when 98 is divided by i?
23
Suppose -3*d + 6*d + 3*m - 102 = 0, 5*m = 3*d - 62. What is the remainder when 107 is divided by d?
20
Let r(d) = -d**3 - 3*d**2 + 2*d - 3. Let o be r(-4). Suppose 0 = -f + o. Suppose -l = l - f*u - 31, 2*u = l - 18. What is the remainder when l is divided by 8?
4
Let j = 174 - 121. Let q = -14 + 32. Calculate the remainder when j is divided by q.
17
Let x(s) = s - 22. Let y be x(24). Suppose 0*h + y*h + 3*l - 6 = 0, -5*h + l = -32. What is the remainder when 20 is divided by h?
2
Let n = -50 + 54. Suppose -4*g = -3*g + p - 39, -n*p + 118 = 3*g. Calculate the remainder when g is divided by 5.
3
Let f(w) = -w**3 - 7*w**2 + 6*w + 6. Let y(a) = a**3 - 28*a**2 + 57*a + 67. What is the remainder when y(26) is divided by f(-8)?
21
Let a(k) = -3*k**3 + 1. Let m be a(-1). Let u(n) = n**3 - 5*n**2 + 4*n + 2. What is the remainder when 1*5/(-30) - (-86)/12 is divided by u(m)?
1
Suppose -5*m + 31 = z - 9, m = 5*z - 252. Suppose 2*g + 132 = 5*w, 327*w = 330*w + g - 77. Calculate the remainder when z is divided by w.
24
Suppose 137 - 618 = -13*b. Calculate the remainder when b is divided by 20.
17
Let c = -36 - -105. Let f(p) = 0*p**2 - 1 - 9 + p**2 + 3*p. Calculate the remainder when c is divided by f(-7).
15
Suppose 2*k + 2*k - 176 = 0. Suppose 5*g + 2*z = -532, -z = g + z + 100. Let x = g - -117. What is the remainder when k is divided by x?
8
Let o = -20 + 57. Suppose -2*d = -0*d - f - 20, 0 = -5*d + f + 47. Let q(u) = 2*u**2 - 5*u - 7. What is the remainder when q(d) is divided by o?
36
Suppose -10 = 3*t - 46. Suppose -114 = 7*n - 555. Suppose j = -5*h + 27, -3*j + n = -5*h + 2*h. What is the remainder when j is divided by t?
10
Let z(a) = 2*a**2 - 16*a - 30. What is the remainder when z(-6) is divided by 31?
14
Suppose -6 + 2 = -2*h. Let q be (-1)/h + (-111)/2. Let c = q - -85. What is the remainder when 115 is divided by c?
28
Let w be -1 + -5 + 2 + 4. Let s be (w/1)/(16 - 14). Let l(j) = j**2 - j + 8. What is the remainder when 21 is divided by l(s)?
5
What is the remainder when 163 is divided by (0 - -2)*(305/10 + -5)?
10
Let j(y) = -5*y + 62. Suppose -3*a - 5*t = -49, -t + 96 = 5*a - 15. Calculate the remainder when a is divided by j(11).
2
Suppose h - 147 = 5*i, -6*i = -3*h - 3*i + 393. What is the remainder when h is divided by 11?
6
Suppose 102*i - 103*i + 166 = 0. Calculate the remainder when i is divided by 56.
54
Let k = -9 - -10. Let t(q) = -40*q - 2. Let z be t(k). Calculate the remainder when (112/z)/((-2)/27) is divided by 13.
10
Let h(m) = 7*m - 4. Let l(u) = -7*u + 5. Let q(b) = -5*h(b) - 6*l(b). Calculate the remainder when q(3) is divided by 7.
4
Suppose 3*h - 352 = -5*f, 0 = -5*h - 2*f + 3*f + 540. Let k = 1214 + -1192. What is the remainder when h is divided by k?
21
Suppose -4*n - 5168 = -2*f, f + 2*n - 7736 = -2*f. What is the remainder when f is divided by 29?
28
Suppose -5*r + 2 + 3 = 0. Suppose r - 21 = -4*z. Suppose 0 = -0*h + z*h - 55. What is the remainder when h is divided by 6?
5
Suppose 3*t + 2*a - 105 = 544, 0 = 5*a + 20. What is the remainder when t is divided by 45?
39
Suppose 3*m - 13*c - 294 = -10*c, -4*c = -2*m + 196. What is the remainder when m is divided by (-1)/4 - 1596/(-48)?
32
Calculate the remainder when (-3 - -1 - 0)/(38/(-551)) is divided by 21.
8
Let m be 0/(5/(-3 - 2)). Suppose -4*y + 3*y = -1, m = -2*z + 4*y + 24. Calculate the remainder when 21 is divided by z.
7
Let z be (23 + (-2 - -3))/((-3)/(-2)). Suppose r + 2*b + 0*b - 11 = 0, r - z = -b. Calculate the remainder when r is divided by 7.
0
Suppose -2 = -j + 2, -2*p = -3*j + 66. Let m = -10436 - -10507. Calculate the remainder when m is divided by (-6)/p + (-133)/(-9).
11
Suppose -10*g + 1032 = -138. Calculate the remainder when g is divided by 30.
27
Suppose -2*f + 117 = -5*q, 2*f - 2*q - 103 - 5 = 0. Suppose 5*x = -3*j + 22, -17 = j - 5*x - f. Calculate the remainder when 109 is divided by j.
11
Suppose -11 = -5*q + 2*t - 101, -5*q - t - 75 = 0. Let z be ((-6)/2)/((-12)/q). Calculate the remainder when 17 is divided by (-4)/z*(1 - -4).
2
Calculate the remainder when 239 is divided by -4*(90/24*-1 - 0).
14
Let s = 89 + 15. Calculate the remainder when 406 is divided by s.
94
Suppose 0 = g - 6*g + 2*u + 113, -2*g + 48 = 2*u. Let n(q) = 2*q**3 - 2*q - 3. Suppose 0 = 2*y - 5*y + 9. What is the remainder when n(y) is divided by g?
22
Suppose x + 42*z = 40*z - 2, -x + 10 = -2*z. Calculate the remainder when 45 is divided by x.
1
Let l = 75 - 18. Suppose -64 = -3*w - 2*w + 2*m, 5*w - 54 = -3*m. What is the remainder when l is divided by w?
9
Suppose 3*b - 23 = 2*b + 3*z, 2*b - 42 = 2*z. Calculate the remainder when (-8)/(-96) - 5635/(-60) is divided by b.
14
Suppose 53 = z - 44. Suppose -46 = -11*v + z. Let h = 46 + 5. What is the remainder when h is divided by v?
12
Let z(v) = -v - 2. Let u(m) be the second derivative of -m**3/6 + 5*m**2/2 - 10*m. Let t be u(10). Calculate the remainder when 4 is divided by z(t).
1
Let g(p) = -8*p + 3. Let h be g(-3). Suppose -2*s = h + 29. Let y = 3 - s. What is the remainder when y is divided by 8?
7
Suppose 5*t - 3*l = 6 + 6, 2 = t - l. Suppose 0*f + 5 = -5*f, -27 = -3*d - t*f. What is the remainder when 15 is divided by d?
5
Suppose -8*n = -6*n - 6. Suppose 0 = n*l - 0*l - 231. Suppose 3*y - 2*y = l. What is the remainder when y is divided by 26?
25
Suppose -31 = -25*k + 24*k. Calculate the remainder when 100 is divided by k.
7
Suppose -5*n = t - 111, -4*n = t - 4*t + 352. What is the remainder when t is divided by 32?
20
Suppose 3*z - 37 = w, 2*w - 13 = -3*z + 30. Calculate the remainder when 266 is divided by z.
6
Suppose 8 + 2 = -5*w. Suppose -54*f + 84 = -50*f. Calculate the remainder when f is divided by (-1 - w) + 0 + 5.
3
Let n = 16 + 7. Suppose 0 = 4*f - 0 - 8. What is the remainder when n is divided by 16/2 - (f + (-3 - -3))?
5
Suppose 4*c = -4*n + 220, 5*n + c + 2*c = 281. Suppose -3*f - 9 = -5*j + 4, 5*f = j - 7. Suppose -5 = -j*l + 25. Calculate the remainder when n is divided by l.
13
Let r = -617 - -724. What is the remainder when r is divided by 15?
2
Suppose 3*i - 17 - 34 = 0. Let t(n) = 2*n**2 - 54*n + 232. What is the remainder when t(23) is divided by i?
14
Let y(u) = 5*u - 32. Let t be y(10). Suppose 2*k - 2*l - l - 12 = 0, 5*k - l - 43 = 0. Let a = t - k. Calculate the remainder when 42 is divided by a.
6
Suppose -5*j + 2*u + u + 75 = 0, -20 = 4*u. What is the remainder when 17 is divided by (-8)/j - 8*(-10)/12?
5
Let z = 63 - 34. Let t = z + 47. What is the remainder when t is divided by 20?
16
Let t(l) = -l**2 - 3*l. L