z + j = 2*d - 0*z, 15 = 3*z. Calculate the remainder when 47 is divided by d.
11
Let g(o) = 12*o + 274. Let l(h) = 2*h**2 + 15*h + 8. What is the remainder when l(-11) is divided by g(-21)?
19
Suppose 0 + 7 = c. Let t = c + 11. What is the remainder when 87 is divided by 495/t*4/5?
21
Let k be (86/(-3))/((-21)/63). Let h = -53 + k. Calculate the remainder when h is divided by 17.
16
Suppose 445 = 33*c + 115. Calculate the remainder when 11 is divided by c.
1
Let n(h) = -h + 8. Let c be n(6). Suppose -c*f - 46 = 84. What is the remainder when 37 is divided by 1*-3*f/15?
11
Let f = -1922 + 1983. What is the remainder when 914 is divided by f?
60
Suppose -23*z + 9452 = 45*z. What is the remainder when z is divided by 26?
9
Let w(z) = z**2 + 17*z - 152. Suppose -2*o + 16 = -102. Calculate the remainder when o is divided by w(-24).
11
Suppose 0 = -3*g + 4 + 2. Suppose -4*k + 108 + 60 = -4*p, 5*p + 216 = g*k. Let u = 1 - p. Calculate the remainder when u is divided by 12.
9
Let j(b) = b - 2. Let z(k) = -k + 3. Let i(n) = 4*j(n) + 5*z(n). Calculate the remainder when i(-16) is divided by 12.
11
Let b = -41 + 226. Calculate the remainder when b is divided by 41.
21
Let k = -33 + 48. Let y(a) = 2*a**2 - 5*a + 2. Let z be y(-6). Suppose 0 = 5*i - z - 106. Calculate the remainder when i is divided by k.
12
Suppose 5*p - 12*p + 560 = 0. What is the remainder when p is divided by 6?
2
Let d(w) = 135*w**2 - 7*w - 8. Let s = 70 - 53. What is the remainder when d(-1) is divided by s?
15
Suppose -13*x + 17*x = 856. Calculate the remainder when x is divided by 27.
25
Suppose 6*p + 43 = 337. What is the remainder when 1468 is divided by p?
47
Let o(c) = 6*c**2 + 3*c - 3. Let d be o(2). Suppose 5*r - 3 = d. What is the remainder when (-61)/(-4) - 2/8 is divided by r?
3
Suppose -2*m - 3 = -4*z - 9, 4*m - z - 5 = 0. Let g = 4 - m. Suppose -11 = -4*t - g. What is the remainder when 2 is divided by t?
0
Suppose -4*x - 45 = -5*q, 5*q - 24 - 16 = 3*x. Suppose -t = 4*t + q. What is the remainder when (t - (24 + 3))/(-1) is divided by 15?
13
Let h = 567 + -275. Calculate the remainder when h is divided by 77.
61
Suppose -52*z = -34*z - 1548. Calculate the remainder when 340 is divided by z.
82
Let d(b) = -b - 2. What is the remainder when d(-8) is divided by (-2 + 0)/((-4)/6)?
0
Let y = -28 + 72. Suppose -1 = -3*z + y. What is the remainder when 72 is divided by z?
12
Suppose 0*y = 47*y - 752. Calculate the remainder when 94 is divided by y.
14
What is the remainder when 8*(-42)/(-12) + 2 is divided by 8?
6
Suppose -1 = 2*m - 9. Suppose -17 = -3*p - 62. What is the remainder when ((-4 - p) + -1)*1 is divided by m?
2
Suppose -1 = b + o, -4*b = o + 17 + 2. Calculate the remainder when (-1320)/(-35) - b/21 is divided by 10.
8
Suppose -16 = c + 5*p, 29*p = 24*p - 25. Calculate the remainder when 22 is divided by c.
4
Let r = -864 - -874. What is the remainder when 5188 is divided by r?
8
Let r = 12 - -51. Suppose 3*n = -18 + r. Suppose 3*l - 28 = m, -2*m - 5 = 3*m. Calculate the remainder when n is divided by l.
6
Let a = -18 + 22. Suppose 2*i + a*k - 146 = 0, 116 + 324 = 5*i - 5*k. What is the remainder when i is divided by 21?
20
Let v be (-554)/(-6) - (0 - (-8)/(-12)). Let c = v + -87. What is the remainder when 22 is divided by c?
4
Suppose -596*n + 609*n - 377 = 0. What is the remainder when 463 is divided by n?
28
What is the remainder when 117 is divided by 55 - 2 - 12/(-4)?
5
Suppose -44 = -6*n + 2*n. What is the remainder when (-1 - -49) + (-68)/(-85)*5 is divided by n?
8
Let n = -229 + 263. What is the remainder when 61 is divided by n?
27
Let c = -16 - -20. Suppose -c*o + 25 = -5*a, -1 = 4*o + a + 4. What is the remainder when (-14)/((-4)/(o + 2)) is divided by 5?
2
Let g = 43 - 40. Let y(z) = -z**3 + 7*z**2 - 4*z - 8. Calculate the remainder when y(6) is divided by g.
1
Let z be (13 + -9)/(2 + 0). Let j = z - -16. What is the remainder when 33 is divided by j?
15
Calculate the remainder when 260 - -14 - (1 + (-2 - 3)) is divided by 10.
8
Suppose 117*x + 70 = 119*x. Calculate the remainder when x is divided by 33.
2
Suppose 19 - 49 = -6*t. Suppose -10 = -2*o, -s + 4 = t*o - 36. Calculate the remainder when 41 is divided by s.
11
Suppose 213 = 10*i - 127. Calculate the remainder when 100 is divided by i.
32
Suppose 3*u + 20 = -34. What is the remainder when u/(-12)*(-210)/(-3) is divided by 27?
24
Let u(n) = n**2 - 10*n + 30. Calculate the remainder when 72 is divided by u(12).
18
Let j be (-10 - -13) + (-2)/2*-1. Suppose 0 = -2*o + 1 + 29. What is the remainder when (-2)/j*(-164)/2 is divided by o?
11
Let y be 9/(((-12)/8)/1). Let x be 3*-1 - (2 + -3). Calculate the remainder when (-87)/x*(-4)/y is divided by 10.
9
Suppose 4*r - 131 = -391. Let j = -38 - r. Calculate the remainder when 161 is divided by j.
26
Suppose 4*h - 5 = 2*i + 7, -25 = -5*h. Let z = 10 - i. Suppose -c = -50 - z. What is the remainder when c is divided by 19?
18
Let n = 100 - 98. Suppose -u = -n*u - 1, -3*i - 4*u = -101. What is the remainder when i is divided by 9?
8
Calculate the remainder when 99 is divided by (68/3)/((-6)/(-9)) + -2.
3
Suppose -5*f + 2*c + 86 = 0, -5*f - 3*c + 42 = -3*f. Calculate the remainder when 80 is divided by f.
8
Let d(s) = -2*s**3 + 3*s**2 + 2*s + 3. Suppose 0 = -r + 6*c - 2*c - 4, -5*c + 10 = 0. Suppose -15 - 45 = -r*m. What is the remainder when d(-2) is divided by m?
12
Let v(p) = 5*p**3 - p**2 - p + 1. Suppose 10*b - 19*b = -9. Calculate the remainder when -1*((-60)/2)/2 is divided by v(b).
3
Suppose -o = -z + 76, z = 25*o - 20*o + 84. Calculate the remainder when z is divided by 29.
16
Suppose i - 6*f = -3*f + 7, 64 = 4*i - 3*f. Calculate the remainder when 69 is divided by i.
12
Let q(v) = -v**2 + 31*v + 105. Calculate the remainder when 1555 is divided by q(33).
34
Suppose -16 = -5*d + 14. What is the remainder when 166 is divided by (9 - 0)*28/d?
40
Let s(l) = 22*l + 419. Calculate the remainder when 88 is divided by s(-18).
19
Suppose 0 = 3*q + 2*q + 3*b - 259, q + 5*b - 43 = 0. What is the remainder when 2966 is divided by q?
51
What is the remainder when 283 is divided by ((-13)/(-6))/((-144)/(-864))?
10
Let b(a) = a**2 + 1. Let j(r) = 4*r**2 + 14. Let i(k) = -5*b(k) + j(k). Suppose -3*y = -0*y. What is the remainder when 16 is divided by i(y)?
7
Let r = 153 + -80. Suppose 2*l + 43 = 4*l + 3*d, 5*l - 4*d = r. What is the remainder when l is divided by 10?
7
Suppose 11*f - 12*f + 4 = 0. Let s = -152 - -169. Calculate the remainder when s is divided by f.
1
What is the remainder when (-12)/(-8) + (-591)/(-6) is divided by 31?
7
Suppose 70 = 4*l - 682. What is the remainder when l is divided by 68?
52
Suppose 21*i - 51 = 18*i. Let l(n) = -n**3 + 3*n**2 - 4*n + 4. Let s be l(3). Let x = i + s. What is the remainder when 17 is divided by x?
8
Let a be -6 - 1 - -4 - -5. Suppose 0 = -j - a*j + 42. What is the remainder when j is divided by 8?
6
Let g(a) = a + 8. Let w = 7 - 7. Suppose 0 = 4*n + 4*o - 132, -4*n - n + 4*o + 138 = 0. Calculate the remainder when n is divided by g(w).
6
Let c(n) = 33*n + 272. Calculate the remainder when c(3) is divided by 62.
61
Suppose -c = 2*z - 55, 31 - 2 = z - c. Suppose 4*y = h + 62, 40*y - 45*y - h = -73. What is the remainder when z is divided by y?
13
Suppose 2*c = -9*c + 55. Suppose -c*y + 4*y = -25. What is the remainder when 47 is divided by y?
22
Suppose 4*a - 8 = 0, 0*a = 2*f + a - 126. Suppose -34*y = -626 - 88. What is the remainder when f is divided by y?
20
Suppose 4*q + q - 4*b = 249, -5*b = 2*q - 93. Calculate the remainder when 100 is divided by q.
2
Let g = -1360 - -1425. Calculate the remainder when 127 is divided by g.
62
Let t(l) = l**2 - 7. Suppose -j + m = -0*m - 5, -4*j - 3*m + 20 = 0. What is the remainder when t(j) is divided by 5?
3
Let d(b) = -b**3 + 12*b**2 - 18*b - 5. Calculate the remainder when d(9) is divided by 27.
22
Let c = 403 - -71. Suppose 4*m = j + c, -5*m + 2*j + 588 = 3*j. What is the remainder when m is divided by 30?
28
Suppose 3*k + 5 = 134. What is the remainder when 471 is divided by k?
41
Let k = -48 + 67. Suppose -3*g + k = -4*y, y - 70 = -2*g - 3*g. Let h(d) = d**3 + 5*d**2 - 8*d - 7. Calculate the remainder when g is divided by h(-6).
3
Let x(a) be the third derivative o