 -3*u - 460. Let c = 51 + u. Suppose p + 0*p - k - 22 = 0, k + c = 4*p. Calculate the remainder when p is divided by 6.
1
Suppose -4*o = -o - 5*z - 88, 3*o = 8*z + 103. Calculate the remainder when 466 is divided by o.
4
Let d(z) = -11*z + 50. Let y be d(4). Suppose 357 = c + y*c. Calculate the remainder when c is divided by 4.
3
Suppose 38 - 12 = -13*j. Let n = j - -4. Suppose -2*h + 4*r + 18 = -0*h, -4*h = 4*r. What is the remainder when h is divided by n?
1
Let o = 10874 + -9083. Calculate the remainder when o is divided by 14.
13
Suppose 265*c - 24707 = 49958 - 21135. What is the remainder when c is divided by 42?
34
Let f(u) = u**2 + 74*u + 1571. Calculate the remainder when 580 is divided by f(-45).
48
Let m(u) = u**2 - 3*u - 35. Let k be m(8). Let r = k + -5. Suppose 3*n - 6*n + 5*t = -475, -n - t + 145 = r. What is the remainder when n is divided by 17?
14
Let n(w) = 25*w - 69. Calculate the remainder when 318 is divided by n(9).
6
Let i(b) = b**3 - 19*b**2 - 17*b - 56. Suppose -3*o = 5*j - 85, 5*j - 8*j + o = -65. Calculate the remainder when 28 is divided by i(j).
0
Suppose 5*r - 2*o = 1516, -o = 3*r - r - 610. Suppose -r + 9 = -5*a. What is the remainder when a is divided by 4?
3
Suppose -4*x = 4*x + 3128. Let p = -360 - x. Calculate the remainder when p is divided by 186/10 + 2/5.
12
Let w = -14 - -35. Suppose -7*s - 13 = -6. Calculate the remainder when w is divided by (-2*s/8)/(6/264).
10
Let r be (190/(-20))/(4*(-2)/(-560)). Let m = -363 - r. Calculate the remainder when m is divided by 51.
47
Let f(v) = -374*v - 4825. What is the remainder when f(-22) is divided by 16?
11
Let y be 81/(-15) + (-24)/40. Let o(x) = 17*x + 18. Let v(p) = -18*p - 18. Let j(k) = y*v(k) - 7*o(k). Calculate the remainder when j(-6) is divided by 13.
9
Suppose 245*q - 957 - 1880 = 593. Calculate the remainder when 4534 is divided by q.
12
Suppose 0 = -c, 0*n - 25*c + 55 = 5*n - 20*c. Calculate the remainder when 1945 is divided by n.
9
Suppose -4*a = -12, -a - 18 = 4*y - 3*a. Let t(h) = 13*h**2 + 2*h + 3. Suppose -93517*g = -93619*g + 3978. What is the remainder when t(y) is divided by g?
36
Suppose -44 = -3*d + 2*w, 7*w + 32 = d + 2*w. Calculate the remainder when 159 is divided by d/((-72)/(-30))*(-52)/(-5).
3
Suppose -81*q + 12821 + 24875 = 71*q. What is the remainder when q is divided by 36?
32
Suppose 119 = t + o, -456 = -4*t - 101*o + 102*o. Calculate the remainder when t is divided by 72.
43
Let x be (-104)/(-28) + 4/14. Suppose -3*k - 4*l = -457, x*k = k + l + 452. Let c = -2882 + 2901. What is the remainder when k is divided by c?
18
Suppose 15*g - 2*q = 10*g + 39, -3*g + 25 = -2*q. Calculate the remainder when ((-2)/(-7))/(3/(-7))*-447 is divided by g.
4
Let d(v) = -v**3 - 31*v**2 + 83*v - 494. What is the remainder when 317 is divided by d(-34)?
13
Suppose 94 = 4*n - a, -2*n + a = 11 - 57. Let z = -33 - -23. Let m = 73 + z. Calculate the remainder when m is divided by n.
15
Let n(y) = 56*y - 4917. What is the remainder when 1302 is divided by n(88)?
4
Suppose 4*q - m + 0*m - 118 = 0, 3*m = -4*q + 126. Let p = 30475 + -30442. Calculate the remainder when p is divided by q.
3
Suppose 0 = 5*r - 2*x - 156, 8*r + 123 = 12*r - x. Calculate the remainder when 5637 is divided by r.
27
Suppose 76*q - 2143 = 821. What is the remainder when 124 is divided by q?
7
Suppose 5*z - 3*v - 3479 = 0, 614*z - 613*z - 685 = -3*v. What is the remainder when z is divided by 666?
28
Suppose 5*p - 4*i = 8557, 5*i = -4*p - 0*i + 6862. Suppose p = 17*n + 659. What is the remainder when 246 is divided by n?
60
Let c = -3546 + 3575. Calculate the remainder when 116 is divided by c.
0
Let x(j) = 3*j - 5*j**2 - 4 + 3 + 6*j**2 + 15*j**3. Let f = 1364 - 1342. What is the remainder when x(2) is divided by f?
19
Suppose 971 - 316 = b. Suppose 0 = -4*p - 116 + 172. What is the remainder when b is divided by p?
11
Suppose l - 17 = -2*m - 6, -24 = -4*m - 4*l. Calculate the remainder when (-203)/(-1) - (-5)/(-40)*8 is divided by m.
2
Suppose 85*q = 67*q - 6066. Let i = -320 - q. Calculate the remainder when 82 is divided by i.
14
Let y be 8/6 - 44/(-12). Suppose -4*v + 7 = -y. Suppose -5*l = 4*g - 267, v*l - 4*l = -3. Calculate the remainder when g is divided by 33.
30
Let m(f) = 3*f + 7. Suppose -2*l - 237 = -3*y, 5330*l - 5327*l = 2*y - 153. Calculate the remainder when y is divided by m(6).
6
Suppose 5*h - 4*a = 2901, 2*h - 7*a - 3*a - 1110 = 0. What is the remainder when h is divided by 35?
25
Let v(c) = -591*c + 682. Calculate the remainder when 7095 is divided by v(1).
88
Suppose -28*o = -2909 + 137. What is the remainder when 2274 is divided by o?
96
Suppose 2*d + d - 53 = -w, -3*d = 0. Calculate the remainder when 78 is divided by w.
25
Let d = -77 + 191. Suppose -34 = -s + 5*v, 3*s - 6*v + 3*v - d = 0. What is the remainder when 151 is divided by s?
34
What is the remainder when 3 + (560150/110)/17 - (-12)/(-22) is divided by 22?
16
Suppose 78*t - 61279 = 216479. Calculate the remainder when t is divided by 54.
51
Let k(t) = t**2 + 8*t - 32. Let m = 397 + -392. Calculate the remainder when k(m) is divided by 25.
8
Suppose -4 - 4 = 2*v, 0 = -3*f + 5*v + 1163. Let m = -356 + f. Calculate the remainder when m is divided by 10.
5
Suppose -19*s - 6776 = -0*s - 8277. What is the remainder when s is divided by (-2 - -7)/(1/2)?
9
Suppose 230 = 7*h + 4*o - 382, 4*h = o + 330. Let y(u) = 3*u - 10. Calculate the remainder when h is divided by y(9).
16
Suppose -138*m + 2199 = -561. Let l(k) = -k**3 - 10*k**2 + 3*k + 13. Let z be l(-10). Let i = 21 - z. What is the remainder when i is divided by m?
18
Suppose 3*o + 39*g = 37*g + 68, -2*g = -3*o + 64. Calculate the remainder when 5057 is divided by o.
19
Suppose -9*i + 16*i + 1107 = 16*i. Calculate the remainder when 6270 is divided by i.
120
What is the remainder when -1*((-25)/(-5) - 342/3) is divided by 53?
3
Suppose 238*j - 49287 = 217*j. What is the remainder when j is divided by 5?
2
Let r(u) = u**3 - 13*u**2 - 42*u + 161. What is the remainder when r(17) is divided by 26?
5
Let g = 370 - 370. Suppose -3*a = 4*w - 5*a - 106, g = w - a - 27. What is the remainder when 98 is divided by w?
20
Let f = -37 - -37. Let u(i) = i**2 + 46. What is the remainder when (138 - (3 + -2) - 2) + 0 is divided by u(f)?
43
Suppose 642 = 35*q - 898. Let h = 250 + q. Calculate the remainder when h is divided by 50.
44
Suppose 0 = -439*i + 405*i + 1598. Calculate the remainder when 611 is divided by i.
0
Let n = -230 - -236. Calculate the remainder when 118 is divided by (n/9)/((-23)/(-414)).
10
Suppose 688*x = 678*x. Let i(r) = -r**2 + 6*r**2 + 2*r + 0*r**2 - 3*r**2 + 10. What is the remainder when 38 is divided by i(x)?
8
Let a = 15 + -18. Calculate the remainder when 4 + (-2*16)/(-4) is divided by 35/(-15)*a/1.
5
Suppose -5*x + 925 + 313 = 4*a, -2*a + 742 = 3*x. Calculate the remainder when (-14*1/1)/((-4)/74) is divided by 1/(-3)*(4 - x/3).
25
Let y(d) = -d**2 + 2. Let s be y(2). Let b be (-357)/s*4/6. Suppose 3*x - b = -4*r, r + x = 4*x + 26. What is the remainder when 85 is divided by r?
27
Suppose 0 = 1342*n - 1341*n - 227. Calculate the remainder when n is divided by 87.
53
Let z = 20557 + -20296. What is the remainder when 1006 is divided by z?
223
Suppose 3*u = 2*u + 16. Let h(z) = -z + 8. Let s be h(-5). Let o(k) = k**2 - 11*k + 5. Calculate the remainder when o(s) is divided by u.
15
Let s = -69 + 71. Let x(n) = 0*n**2 + n**3 - 15 - 52*n + 8*n**s + 23*n + 7*n. Calculate the remainder when x(-10) is divided by 3.
2
Suppose -70 = -m - 35. What is the remainder when 9 is divided by (-3)/(189/m + -6)?
4
What is the remainder when ((-45)/(2295/(-262412)))/(3/(-9) - -1) is divided by 83?
82
Suppose 1439 - 75 = 44*o. Calculate the remainder when 87 is divided by o.
25
Let d be (-722)/(-114) + 2/(-6). Suppose d*h = 2*h + 52. Suppose 0*v + 2*v = 46. Calculate the remainder when v is divided by h.
10
Let i(v) = -29*v. Suppose 25*g = 25*g + 47*g - 423. Calculate the remainder when i(-3) is divided by g.
6
Let c = 22 - 7. What is the remainder when (4/(-8) - -1)/1*(322 - 24) is divided by c?
14
Let g(w) = 57*w - 2517. What is the remainder when 473 is divided by g(46)?
53
Suppose 2*f + 4*t = -0*f + 154, 2*f - 154 = 4*t. Let j = f + -46. Suppose -u