ppose -44308 = -90*f + 86012. What is the remainder when f is divided by 28?
20
Calculate the remainder when 1 + -18*(-78)/12 is divided by 7.
6
Suppose 0 = 12*l - 6*l - 780. Let o = -136 + l. What is the remainder when 82 is divided by (o/(-18) - 40/(-6)) + 0?
5
Let d(q) = 3*q**2 - 412*q + 2934. What is the remainder when 245 is divided by d(7)?
48
Let k(v) = v**3 + 146*v**2 + 1233*v + 208. Let w(p) = -7*p - 5. Calculate the remainder when k(-137) is divided by w(-6).
23
Suppose -2*r - 2*k = 3*r + 395, -5*r = -4*k + 425. Let a = r - -79. What is the remainder when (-50 + -3)/((3 + a)/(-1)) is divided by 14?
11
Let b(g) = 2*g**2 + 7*g - 8. Suppose 8*h - 3*h - 24 = -p, 0 = -4*h - 5*p + 36. Suppose h*y - 29 = 19. What is the remainder when b(3) is divided by y?
7
Suppose -16 = -5*c - 2*j + 76, 0 = 3*j + 12. What is the remainder when c is divided by 3/2 - 4807/(-874)?
6
Suppose -9*z = 6*z + 529 - 1669. Calculate the remainder when 1055 is divided by z.
67
Suppose 0 = 3*h + 2*u - 63, 9*h + 2*u = 5*h + 86. What is the remainder when 193 is divided by h?
9
Let s = -3975 + 4194. What is the remainder when s is divided by 44?
43
Suppose 22800 = -61*k + 175*k. Calculate the remainder when 3998 is divided by k.
198
Suppose -55*h + 51*h - 600 = 0. Let c = h + 399. Calculate the remainder when c is divided by 86.
77
Calculate the remainder when 1896 is divided by ((-275680)/96488)/(4/6*3/(-7)).
6
Suppose 20*a - 42*a + 17534 = 0. Suppose -791*t - 228 = -a*t. Calculate the remainder when t is divided by 23.
15
Let d be (-2)/(-3) + (-48824)/(-204). Let i = d - -84. What is the remainder when i is divided by 13?
12
Let b(p) = -p**2 - 9*p + 51. Suppose 0 = 46*r - 39*r - 154. What is the remainder when b(-10) is divided by r?
19
Suppose -3*p = 5*q - 15, -2*q - 2 + 8 = -3*p. Let j be 2/(q/((-24)/(-4))). Suppose -3*t + j*t = 14. What is the remainder when t is divided by 8?
6
Suppose -6 = 7*w - 34. Suppose 2*y - w = -2*r, 0*y + 3*y + 4*r - 9 = 0. Let x = y + 58. What is the remainder when x is divided by 15?
12
Let g be 6/39 - -666*18/156. Suppose 0 = -2*q + g + 145. What is the remainder when q is divided by 7?
6
Suppose 111*q = 110*q + 8. Suppose -5*m - 63 = -q*m. Let v(u) = 10*u**2 - 3*u. Calculate the remainder when v(2) is divided by m.
13
Suppose 66*j = 35*j + 50*j - 3116. Calculate the remainder when 5081 is divided by j.
161
Suppose 7*j + t = 8*j - 76, 3*t = 9. Calculate the remainder when 386 + -4*((-65)/10 + 5) is divided by j.
76
Suppose -126*n + 9332 + 222920 = -21260. What is the remainder when n is divided by 59?
6
Let g = -146 + 208. Calculate the remainder when g is divided by 17.
11
Let m(l) = l**3 - 13*l**2 - 200*l - 10. What is the remainder when 3691 is divided by m(-9)?
3
Suppose 5*k - 5*p + 100 = 0, -p - 12 = k + 16. Let z be (-3*(-28)/k)/((-2)/12). Let f = 15 + z. What is the remainder when 251 is divided by f?
35
Let y(u) = -u**3 + u**2 - 16*u - 8. Let v(z) = 7*z + 4. Let f(r) = -5*v(r) - 2*y(r). Let j be 5 - (18/3)/3. What is the remainder when f(j) is divided by 9?
5
Suppose 0 = -2*r + r + 20*r - 342. Calculate the remainder when 28780 is divided by r.
16
Let h = 29 + -1. Suppose 0 = -5*v + 114 + 221. Suppose 0 = b - 3*x - v, 4*x - 430 = -7*b + 2*b. Calculate the remainder when b is divided by h.
26
Calculate the remainder when 12744/(7 + 11) + 21 is divided by 153.
117
Let j(r) = 4*r**2 - 5*r - 6. Let g be j(-1). Suppose 0 = -4*l - g*n + 163, 0 = -3*l + 3*n + 48 + 48. Calculate the remainder when l is divided by 20.
17
Let y = -2084 + 2208. Calculate the remainder when y is divided by 114/5 - (-2 + 18/10).
9
Let g(k) = -k + 10. Suppose 2*h - 137 = -5*o, 4*o = h + 5*o - 70. Let c = h - 55. What is the remainder when c is divided by g(0)?
6
Suppose -5*p = -5, -3*r + 2*p = -31 - 195. What is the remainder when 699 is divided by r?
15
Calculate the remainder when 691815/2295 + 4/(-9) is divided by 34.
29
Suppose 169*z + 31512 = 101647. Calculate the remainder when z is divided by 378.
37
Let d = -71 - -75. Calculate the remainder when (((-10)/5)/4)/(2/(-24)) is divided by d.
2
Let a(f) = 13*f**2 - 25*f + 10. What is the remainder when 504 is divided by a(4)?
32
Let y(x) = -3*x**3 + 49*x**2 - 71*x + 9. Calculate the remainder when y(13) is divided by 147.
41
Let b(q) = 318*q**3 - 4*q**2 - 5*q + 30. Calculate the remainder when b(2) is divided by 506.
18
Suppose -61 = -5*w + 29. Calculate the remainder when 8 + -12 + -2 + (3 - -69) is divided by w.
12
Suppose 0 = 36*f - 24*f - 1524. Let x = f - 119. Suppose 0 = 3*h + 2*h - 150. Calculate the remainder when h is divided by x.
6
Let m = -2415 - -2552. Let i = 10 + 18. What is the remainder when m is divided by i?
25
Let k = 1750 - 1734. Suppose -z + 17 = -4*g - 10, 3*g = -12. Suppose 0 = -v + 5*r + 10, 2*v - 5*v - 4*r + z = 0. What is the remainder when k is divided by v?
1
Let m = -10678 + 10687. What is the remainder when 2103 is divided by m?
6
Let r(v) be the first derivative of -v**2/2 + 14*v - 6. Let f be r(11). Suppose -f*i - 18 = -102. What is the remainder when 108 is divided by i?
24
Suppose -2*l = -v - 304, -v - 2*l - 944 = 2*v. Calculate the remainder when 114 is divided by (-41)/(-123) + (v/(-9) - 0).
9
Suppose -175*d + 411*d - 212*d - 888 = 0. What is the remainder when 3366 is divided by d?
36
Let i(b) = 4*b**2 + 12*b. Let q be 6 - -1 - (3 + 15/(-3)). Let y(x) = -x**2 + 11*x + 11. What is the remainder when y(q) is divided by i(-4)?
13
Let b be ((-8)/6)/((-276)/6003). Suppose 4*q + 20 = 0, -4*a - 71*q = -72*q - b. Calculate the remainder when 82 is divided by a.
4
Suppose -35*q = -6*q - 24012. Calculate the remainder when q is divided by 13.
9
Suppose 18 = 2*m + 3*o - 12, 5*m + 1 = 2*o. Calculate the remainder when 984 is divided by m.
0
Let v = -344 - -171. Let y = v - -256. What is the remainder when y is divided by (-127)/(-3) - (-4)/6?
40
Let x(g) = 42*g**2 + g + 4. Let c be x(2). Let k = 217 - c. What is the remainder when 99 is divided by k?
13
Suppose 4*n - 114 = 2*m, 13 = n - 5*m - 29. What is the remainder when (-1452)/(-14) - (-5 + 66/14) is divided by n?
23
Calculate the remainder when (-2 + 3 - -5) + (204 - -1069) is divided by 32.
31
Let a be (-3)/(-6) - 9/2. Let p(h) = h**2 + 2*h + 2. Let u(q) = -q**2 + q - 6. Let z(c) = 3*p(c) - u(c). Calculate the remainder when z(a) is divided by 15.
11
Let f(y) = -y**2 - 8*y - 2. Let z be f(-7). Suppose -2*p + z*b = 24, 0*p = -p + 5*b - 22. Calculate the remainder when (p*(63/(-6) - -1))/1 is divided by 5.
4
Suppose -5*t = -0 - 10. Suppose -27 = -t*x + 23. Let n(j) = -j**3 + 9*j**2 - 13*j + 2. What is the remainder when x is divided by n(7)?
7
Suppose 0 = 2*k + 6, -8*z = -3*z - 5*k - 230. Calculate the remainder when 391 is divided by z.
4
Suppose -3*g + 15*a - 14*a - 28 = 0, 0 = 5*g + 2*a + 54. Calculate the remainder when (((-18)/45)/((-2)/g))/(-2) is divided by 1.
0
Let o(r) = -2*r + 4. Let h be o(4). Let s(j) = 5 + 26054*j - 19 - 26059*j. Calculate the remainder when s(h) is divided by 5.
1
Suppose 21*l - 1954 - 1598 + 528 = 0. Calculate the remainder when l is divided by 9.
0
Let q(s) = -4*s - 8. Let k(y) = 17*y + 13. Let i be k(6). Let b = 155 - i. Calculate the remainder when b is divided by q(-6).
8
Suppose -9*i + 106 + 686 = 0. What is the remainder when 609 is divided by i?
81
Let b(k) = 6*k + 1. Suppose 0 = -5*i - 167 - 5893. Let w = i - -1263. What is the remainder when w is divided by b(2)?
12
Suppose -198 = -2*z - 63*k + 67*k, 69 = z + 4*k. What is the remainder when 527 is divided by z?
82
Suppose -6 = 2*w - 174. Calculate the remainder when w - 11/(88/(-64)) is divided by 34.
24
Suppose -35*v + 31*v + 864 = 0. Calculate the remainder when 4533 is divided by v.
213
Suppose -o + 2 = z, -168*z + 164*z - 17 = -o. What is the remainder when 272 is divided by o?
2
Suppose 4 = 18*f - 17*f. Suppose -3*y = -y - f*k - 100, -3*y = 3*k - 114. What is the remainder when y is divided by 4?
2
Let t be 3/(3/(-1)) - 1. Let k(f) = 4*f - 33. Let g be k(7). Calculate the remainder when 22/(-2 + g/t) is divided by 24.
20
Let n = 56 - 9. Calculate the remainder when n is divided by ((7 - -4)/(-11))/(7/(-21)).
2
Let k(d) = 2*d**2 + 20*d + 3. Suppose -32 = 4*c + 3*p + 4, -3*c - 27 = p. Let w be k(c). Let q = 19 - w. What is the re