What is the remainder when c is divided by 12?
9
Let s = -2705 + 2746. Calculate the remainder when s is divided by 12.
5
Suppose -183*y + 20*y + 49878 = 0. Calculate the remainder when 423 is divided by y.
117
Suppose -14 - 142 = -q. Calculate the remainder when q is divided by 14.
2
Suppose 0 = -d - 7*d + 16. Suppose p + 282 = d*s, 3*s = -s + 5*p + 570. What is the remainder when s is divided by (54/2 - -6)*(-3)/(-9)?
8
Let d = -72 + 22. Let q = 64 + d. Calculate the remainder when q/(9/(81/2)) is divided by 8.
7
Let j(d) = -1 + 0 - 6*d**2 - 1 - 5 - d - d**3. Suppose 33 + 84 = 9*i. Calculate the remainder when j(-7) is divided by i.
10
Let z(c) be the first derivative of -2*c**2 - 33*c - 75. Calculate the remainder when z(-23) is divided by 20.
19
Suppose -3*r = 15, 5*h - 3*r - 519 = 411. Calculate the remainder when 1088 is divided by h.
173
Let p(f) = -2*f**2 - 20*f - 14. Let v = 40 + -46. Calculate the remainder when (60 - (-1 - 2)) + -1 + 3 is divided by p(v).
31
What is the remainder when 1205 is divided by -52 + 293 + (0 - 2)?
10
Suppose -37*o = -22*o - 270. What is the remainder when 561 is divided by o?
3
Let n(g) = 23*g - 391. Let v = 288 + -156. Calculate the remainder when v is divided by n(20).
63
Suppose 0 = 4*s - 4*q - 48, -5*s + 35*q - 34*q = -32. What is the remainder when 178 is divided by s?
3
Suppose 7*z + 482 - 1147 = 0. Let b = 114 - z. Calculate the remainder when 89 is divided by b.
13
Suppose 200*v - 201*v = -2. Suppose 0 = v*s + 45 - 35. What is the remainder when ((-1)/s*-138)/((-6)/40) is divided by 31?
29
Let g(y) = 4*y**2 + 131*y - 2225. Calculate the remainder when 802 is divided by g(13).
32
Let a be (39/65)/((-5)/(-275)). Let s(h) = -2*h**2 + 70*h - 81. What is the remainder when s(a) is divided by 30?
21
Let l(j) be the third derivative of -2*j**4/3 + 13*j**3/6 + 2*j**2. Let c be l(3). Calculate the remainder when 36 is divided by (-2 + (-40)/(-25))*c.
8
Let x = 650 + -494. Suppose 17*h - x = 218. Calculate the remainder when 84 is divided by h.
18
Let o(r) = -2*r**3 + 49*r**2 - 52*r + 25. Let d be o(23). Suppose 3*g - g - 332 = -4*k, -d = -5*k - 3*g. Calculate the remainder when k is divided by 21.
19
Let l(r) = r**3 - 30*r**2 - 734*r - 21. Suppose -15 = 2*t - 3*t. What is the remainder when l(46) is divided by t?
11
Suppose 9*h = z + 10*h + 11, -z + 3*h + 9 = 0. What is the remainder when 7/(-14) - 1137/z is divided by 32?
29
Suppose 2*b - 10 = 0, 5*t + 5*b - 33 - 202 = 0. Let g(u) = -4722*u + 52029. What is the remainder when g(11) is divided by t?
3
Let z(d) = -6*d**2 - 42*d - 7. What is the remainder when z(-4) is divided by 38?
27
Let y(l) = -l + 2. Let w(t) = -t**2 - 2*t + 3. Let q(i) = 3*w(i) - 4*y(i). Let g be q(2). Let o = 3 - g. What is the remainder when 47 is divided by o?
11
Suppose g + 33 = 4*q, -12 = 25*q - 26*q + g. What is the remainder when 369 is divided by q?
5
Let l be (-91)/(-3) + 11/(-33). Suppose 4*v + 4*b = 3*v + l, -2*v + 36 = -4*b. What is the remainder when v is divided by (16/28)/(3/21)?
2
Suppose -4600 = 132*m - 69412. Calculate the remainder when m is divided by 33.
29
Calculate the remainder when 167 is divided by -37 + 34 + (-200)/(1*-2).
70
Let t = 150278 - 150193. What is the remainder when t is divided by 12/9*69/2?
39
Let v = -125 + 192. Let q = v + 12. What is the remainder when q is divided by 21?
16
Let m = 517 + -530. Let b(s) = -s**2 - 15*s + 7. What is the remainder when 53 is divided by b(m)?
20
Let s(u) = -7*u - 26. Let o(g) = -5*g - 24. Let b(r) = 4*o(r) - 3*s(r). What is the remainder when 22 is divided by b(22)?
2
Suppose -18 = -3*s - y - 0*y, 0 = -5*s + 5*y + 50. Suppose 6*u = s*u + a - 6, 5*u - a - 54 = 0. What is the remainder when 13 is divided by u?
3
Suppose -6*s = -14*s - 576. Let l = s - -97. Let v(g) = g**3 + g**2 + g - 1. What is the remainder when l is divided by v(2)?
12
Suppose i - 4 = 0, -602 = 4*f - 2*i - 2114. What is the remainder when f is divided by 132?
116
Let l = -5235 + 5282. Calculate the remainder when 8128 is divided by l.
44
Suppose 4*p = 9*p + 2*u - 48, u = 3*p - 31. What is the remainder when 340 is divided by p?
0
Let b(z) = 5*z**3 - 4*z**2 + 6*z + 3. Let w be b(-5). Let q(h) = 24*h**2 - 3*h - 1. What is the remainder when q(-2) is divided by w/(-22) - -2*2/(-22)?
33
Let b be (-27)/(-45)*(-10*1)/(-2). Suppose 4*z + w - 388 = 0, 5*z + b*w - 496 = -w. What is the remainder when z is divided by 34?
28
Let j(m) = -3*m**3 + 18*m**2 + 3*m + 43. What is the remainder when 149 is divided by j(6)?
27
Calculate the remainder when 3436 is divided by (-1 - (-30)/27) + (-1020)/(-54).
16
Let r = 48251 - 43445. What is the remainder when r is divided by 209?
208
Let c = -2024 + 2938. Calculate the remainder when c is divided by 154.
144
Let q be (22 + 8)*4/24. Suppose 3*n - w + 106 = 4*n, -n = 5*w - 102. What is the remainder when n is divided by -1*(-44)/(20/q)?
8
Calculate the remainder when 22 is divided by (161/(-115))/((-7)/35).
1
Suppose 123 = 7*k - 381. What is the remainder when 1505 is divided by k?
65
Let m = 29 - 26. Suppose -12 = -m*v, -4*v + 11 = 3*x - 11. Suppose -98 + x = -4*i. Calculate the remainder when 81 is divided by i.
9
Let x(n) = 2*n. Let w(j) = -7*j + 40. Let d(c) = w(c) + 3*x(c). Calculate the remainder when 70 is divided by d(23).
2
What is the remainder when 50 is divided by (20 - (-528)/(-72)) + ((-12)/(-9) - 1)?
11
Let j(m) = m**3 + 19*m**2 - 47*m - 12. Let s be j(-21). Suppose -c = -2*h - s, 3*c - 2*h + 202 = 485. What is the remainder when c is divided by 21?
11
Let j be (-4)/18 - 962/(-117). Suppose 0 = t + 2*c + 2, 3*t - j*c - 5 = -3*c. Calculate the remainder when 10*-1*(t + -1) is divided by 4.
2
Let o(b) = b**2 - 2*b - 8. Suppose -2*d + 2*q = -14, -2*d = 2*q - 1 - 5. What is the remainder when o(5) is divided by 2 + 2 + -5 + d?
3
Suppose 23*n - 9605 = 3589 + 836. What is the remainder when n is divided by 59?
20
Let g be (4/(-10))/(2/(-30)). Let d = g - -29. Suppose -5*t + 3569 - 3489 = -5*f, 0 = -4*t + f + 73. Calculate the remainder when d is divided by t.
16
Let r be 1/2*(381 - 7). Let w = 231 - r. What is the remainder when 126 is divided by w?
38
Suppose 2790*m - 2776*m = 658. What is the remainder when (-552)/(-4)*(1 + -3 + 3) is divided by m?
44
Suppose 0 = 157*r - 15769 - 66970. What is the remainder when r is divided by 322?
205
Let k be 42 + -39 - (-2)/(171/(-165) - -1). Suppose 0 = 2*z + 2*z - 4*b - 576, -4*z + 579 = -b. Let y = z - k. Calculate the remainder when y is divided by 50.
47
Suppose 0 = 31*o - 403 + 124. Calculate the remainder when 1815 is divided by o.
6
Let h(q) = 117*q - 334. Suppose k = 4*k, -2*u + 92 = -5*k. Calculate the remainder when u is divided by h(3).
12
Let v(l) = 7*l**2 - 5*l + 2*l - 102 + 92 + l**3. Let w be v(-7). Calculate the remainder when 112/w + (-12)/66 is divided by 3.
1
Let l(o) = -o + 10. Let d be l(7). Suppose 5*v = d + 7, v - 7 = -s. Suppose s*t + 3*z - z = 105, 3*t - 4*z = 63. What is the remainder when 80 is divided by t?
17
Suppose 70 = 3*d + 7*d. Suppose d*j - 305 = -11. Calculate the remainder when 161 is divided by j.
35
Let h(o) = 74*o - 76. Let u be h(10). Let m = u + -586. What is the remainder when m is divided by 1*2/2*17?
10
Let o(y) = -12*y**3 - 15*y**2 + 32*y - 42. Calculate the remainder when o(-7) is divided by 240.
235
Let u(o) = -o - 39. Let x be u(-36). Let b(l) = -28*l - 45. Suppose -110 = -5*a + 4*n - 2, -n = -2*a + 42. What is the remainder when b(x) is divided by a?
19
Let j(z) = z**2 + 77*z - 390. What is the remainder when 248 is divided by j(-82)?
8
Let j = -6 - -27. Suppose -5*l - v + 0*v = -37, -3*l - v + j = 0. Suppose 4*k = -4*p + 288 + l, 71 = p - 2*k. Calculate the remainder when p is divided by 37.
36
Let x be (1 - -1) + (-1 - -480). Let o = x - 308. Calculate the remainder when o is divided by (10/(-3))/((-42355)/(-2838) + -15).
41
Suppose -3*j + 22 + 432 = s, 4*s - 133 = -j. Suppose 2*p = -6 + 34. Calculate the remainder when 5933/j - (-2)/9 is divided by p.
11
Suppose r = 4*l + 5 - 23, r = -l - 23. Let d = r + 35. What is the remainder when 50 is divided by d?
11
Suppose 5*a - 323 - 672 = 0. Let q = a - 39. Let f = q + -90. Calculate the remainder when f is divided by 19.
13
Let c = 148 + -152. Calculate the remainder w