alculate the remainder when j(-6) is divided by 8.
6
Let d be 86/2*(0 - 1). Let g = 67 - d. Let z = -77 + g. Calculate the remainder when z is divided by 17.
16
Suppose 36*t - 100 = 32*t. What is the remainder when 3400/75*6/4 is divided by t?
18
Let a(j) be the third derivative of 5*j**4/24 - 7*j**3/6 - 3*j**2. Calculate the remainder when ((-6)/(-15))/(1/205) is divided by a(7).
26
Let a = -873 - -905. What is the remainder when a is divided by 17?
15
Let f be (-9 - -1)/(17/(-17)). Suppose 262 - 6 = f*s. What is the remainder when 120 is divided by s?
24
Suppose 5*g = 4*s - 231, 0 = 21*s - 20*s + g - 69. What is the remainder when s is divided by 5?
4
Let t be 6 - (-1 - -1 - -1). Suppose 91 = 2*x - t*r, -2*r - 3*r - 58 = -x. Calculate the remainder when x is divided by 9.
6
Suppose 12 = -m + 3*y, 52 = -5*m + 4*y - 52. Let o = 47 + -15. Let a = o + m. Calculate the remainder when 21 is divided by a.
5
Suppose 3*m - 10 = -2*b, 0*m = -b + m + 10. Let w = 3 - -4. Let p(k) = -k**3 + 7*k**2 + 3*k - 8. What is the remainder when p(w) is divided by b?
5
Let f(a) = 2*a + 91 - 50 - 46. What is the remainder when 28 is divided by f(8)?
6
Let d be 194/18 - (-18)/81. Let r(c) = 3*c. What is the remainder when 96 is divided by r(d)?
30
Suppose 4*u + 32 = 2*g, -3*u = -7*u - 4*g - 56. Let q = u + 55. Calculate the remainder when q is divided by 16.
13
Suppose y - 53 = 2*x, 200 = 4*y - 0*x - 5*x. Suppose 2*v + 30 = f, 0 = -0*f - f - v + 21. What is the remainder when y is divided by f?
21
Let n(g) = -g**3 + g**2. Let d(p) = 2 - 7*p**2 - 2*p + 2*p**2 + 2*p**2 + p**2. Let c be d(1). What is the remainder when n(c) is divided by 7?
5
Suppose -5*s - 17 = -2*i - i, 0 = -5*i + 2*s + 22. Calculate the remainder when 29 is divided by 11 + 0 - 4*i/16.
9
Suppose 27 = 41*n - 752. Calculate the remainder when 146 is divided by n.
13
Suppose -36 = -2*s + 64. What is the remainder when 74 is divided by s?
24
Let i = -303 + 534. Let w = -1875 - -1901. Calculate the remainder when i is divided by w.
23
Suppose -2*k + 131 = 115. Let i(v) = -v**3 + 9*v**2 - v + 12. Let t be i(9). Suppose -t = -2*m + 5. Calculate the remainder when k is divided by m.
0
Let d = 9 - 14. Let w = d - -8. Suppose o = -a + 9 + 8, w = -o + 3*a. Calculate the remainder when 23 is divided by o.
11
Let z(r) = -r + 52. What is the remainder when 108 is divided by z(3)?
10
Let z = -55 - -57. Suppose -10*t = -z*t - 120. What is the remainder when (-1)/4 + 531/12 is divided by t?
14
Let f(u) = 2*u - 9. Let c be f(7). Suppose -a = r - 14, 3 + c = 4*r. What is the remainder when 129 is divided by a?
9
Let p(y) = 9*y**2 + 51*y - 52. Calculate the remainder when p(-12) is divided by 207.
11
Suppose -4*c - 91 = -5*i, 0 = 3*c - 1 - 2. Calculate the remainder when (-8 - -12) + -1 - -49 is divided by i.
14
What is the remainder when (-24)/(-24) - (-242)/2 is divided by 46?
30
Let h be (-1 + 2)/(13 - 12). Suppose -4*w = -3*t + 78 + 19, w = -2*t - 38. Calculate the remainder when 29 is divided by (w/(-8) - h)*6.
14
Suppose 12 = f + 5*j, 4*j - 4 = f + f. Let w(r) = -3 + r + f - 1 + 1 + r**3 - 3*r**2. What is the remainder when 4 is divided by w(3)?
0
Suppose -3*c = -3*b + 29 + 271, -2*c = 2*b - 192. Let j = 193 - b. Suppose -j = 3*d - 8*d. What is the remainder when 75 is divided by d?
18
Calculate the remainder when 52 is divided by 40/3 - 18/(-27).
10
Let k(t) = -t**2 + 5*t + 9. Let o be k(6). Suppose 3*f - 72 = -o*f. Suppose 2*w - 10 = -0*w. What is the remainder when f is divided by w?
2
Suppose -5*g = f - 129, -3*f = -g - 0*g - 435. Let j = f + -107. Suppose 26 = 2*p - 2*q, 43 = p + 3*p - q. Calculate the remainder when j is divided by p.
7
Let p = -8 - -8. Suppose 2*m + 0*i + 56 = -i, p = -4*m + 4*i - 112. Let z = m + 41. What is the remainder when z is divided by 5?
3
Let c(i) = 2*i**3 + 6*i**2 - 6*i + 17. What is the remainder when c(5) is divided by 104?
75
Let v(y) = -15*y**2 + y + 5. Let t be v(-3). Let p = -94 - t. What is the remainder when p is divided by 22?
17
Suppose 0 = -2*d + 168 + 246. Suppose 4*a - 64 - 82 = -3*w, a = -5*w + 45. Calculate the remainder when d is divided by a.
32
Let i(j) = -2*j**2 - 16*j + 6. Let q be i(-7). Let c = q - 17. What is the remainder when c is divided by 2?
1
Let o(s) = s**3 + 5*s**2 - 7*s - 4. Let a be o(-6). Suppose -j + a*j - 5 = 0, -j = -5*u + 430. Calculate the remainder when u is divided by 31.
25
Let p = 104 - 97. Calculate the remainder when 35 is divided by p.
0
Let t(h) = 7*h + 1. Let l be t(2). Let q = -9 + l. Let c = -877 + 905. Calculate the remainder when c is divided by q.
4
Let n be ((-10)/4)/(3/18). Let h = n + 20. Suppose -5*d + 76 = 4*m, -73 = -5*d - m + 6. What is the remainder when d is divided by h?
1
What is the remainder when 113 is divided by (4/(-6) + 106/(-12))*-2?
18
Let y(u) = -u**3 - 9*u**2 + 11*u + 3. Let v be y(-12). Suppose 0 = 85*z - 88*z + v. What is the remainder when z is divided by 53?
48
Suppose 0 = -4*m - 2*n + 3 + 17, m + 5 = 2*n. Let u = m + 3. Let p(x) = x**3 + 7*x**2 - 45*x - 9. What is the remainder when u is divided by p(-11)?
0
Let r = -1445 + 1517. What is the remainder when r is divided by 32?
8
Let j(v) = -6*v + 1. Let p be j(-3). Suppose 0*n - 5*n + 11 = -s, -n + p = 4*s. Suppose -42 = -n*b - 3*b. Calculate the remainder when 25 is divided by b.
4
Suppose -102 - 126 = -12*q. What is the remainder when q is divided by 22*(15/(-6))/(-5)?
8
Let x(j) = j + 1. Let q(t) = -2*t + 1. Let v(l) = -q(l) - 3*x(l). Let k = -511 + 503. What is the remainder when 9 is divided by v(k)?
1
Let s(l) = l**3 - 2*l**2 - 5*l + 1. Let w = 7 - 29. Let z = w - -47. Calculate the remainder when z is divided by s(4).
12
Suppose 2*l - 15*l + 1573 = 0. What is the remainder when l is divided by 9?
4
Suppose 3*j - 2*v = 5*j, 4*j + 24 = 2*v. Let r be (1/2)/((-1)/j). Suppose 65 = 7*y - r*y. Calculate the remainder when 50 is divided by y.
11
Let i = 62 - 38. Suppose -i = -4*p + 4*s, -4*p + 5*s + 0*s + 21 = 0. Calculate the remainder when 40 is divided by p.
4
Let h = -125 - -128. Suppose -h*w + 2*w = -67. Calculate the remainder when w is divided by 34.
33
Suppose 0 = -a + 20 + 20. Let n = -33 + a. What is the remainder when 12 is divided by n?
5
Suppose -2*i = -2*a + 4, -i = -0*a + 3*a - 18. Suppose 0 = -2*q - i*q + 105. Calculate the remainder when q is divided by 11.
10
Let k = 474 - 321. Suppose 2*g + g - 1 = -4*d, -2 = -3*d - g. Calculate the remainder when (k/(-9))/(d*-1) is divided by 7.
3
Let a = -77 + 55. Suppose s + 2*l - 1647 = -1609, s - 9*l - 115 = 0. Calculate the remainder when s is divided by 4*(-1)/(8/a).
8
Suppose 0 = z - 5*z + 56. Let j(p) = -2*p + 24. Suppose -4*i + 0 = 2*m + 6, m + 4*i - 1 = 0. Calculate the remainder when j(m) is divided by z.
10
Let u = -10 + 25. Suppose -4*l + 0*l + y + 12 = 0, -u = -5*l - 2*y. Suppose 6*b = -273 + 315. Calculate the remainder when b is divided by l.
1
Let y(x) = -4*x**2 + 2. Let t be y(-1). Calculate the remainder when 63 is divided by (-22)/(6/3)*(t + 1).
8
Let c = 45 - 40. Suppose 0 = -u + 5*b + 11, -c*u + 3*b + 121 = -0*u. Let n = u - 21. What is the remainder when 9 is divided by n?
4
What is the remainder when 145 is divided by (2 + 5 + 0 - 8) + 81?
65
Suppose 0 = 5*j - y + 25, 2*j = 3*y + 5 - 2. What is the remainder when 34 is divided by (-489)/(-33) + j + 2/11?
7
Let v = 79 + -72. Let d = 67 + -13. What is the remainder when d is divided by v?
5
Calculate the remainder when 400 is divided by (176/(-28) - -6) + (-186)/(-14).
10
Suppose 3*x = -3*d + 39, 22 = 2*d - 4*x + 2*x. Let j(r) = -r**3 - 12*r**2 + 7*r - 8. Let y be j(-12). What is the remainder when y/2*(-2)/4 is divided by d?
11
Let z(r) = -r**2 + 11*r + 15. Suppose -3*s + 0*s = 24. Let d be 2 + 1 - (s - 0). What is the remainder when 44 is divided by z(d)?
14
Let r(p) = 46*p**3 + 5*p**2 - 5*p + 1. Let n be r(1). Let d = -15 + n. Calculate the remainder when 92 is divided by d.
28
Let u = 43 - 11. What is the remainder when 222 is divided by u?
30
Suppose -4*s + 348 = -7*s. Let c = -54 - s. What is the remainder when c is divided by 16?
14
Suppose 0 = w + 2*w + 4*p - 5, -3*p = -2*w + 9. Suppose 0 = -w*u - 4*s + 16, 2*s - 20 = -0*u - 3*u. Calculate the remainder when u is divided by 5.
3
Suppose -3*y = -0*y - 15. Suppose -4*h 