
Suppose -57*a + 91*a + 116*a = 116250. Calculate the remainder when a is divided by 19.
15
Let y be (-17262)/(-24) - (-36)/(-16). Let d = y - 696. Calculate the remainder when 248 is divided by d.
17
Suppose 294*f = 3*o + 280*f - 189, -58 = -2*o - 2*f. Let s = 335 - 225. Calculate the remainder when s is divided by o.
5
Suppose -y = -4*v - 112, 9*y - 10*y + 72 = 4*v. Calculate the remainder when 2181 is divided by y.
65
Suppose w - 4 + 28 = 0. Let m be (w/20)/((-3)/10). Suppose -u - 33 + 165 = 5*v, -m*v + 94 = -5*u. What is the remainder when v is divided by 7?
5
Let f = 226 - 226. Suppose -18*w + 853 - 331 = f. Calculate the remainder when 89 is divided by w.
2
Let k = -246 - -253. Suppose 2*p - k*p + 80 = 0. Calculate the remainder when 185 is divided by p.
9
Let p = 11725 - 11705. Calculate the remainder when 791 is divided by p.
11
Suppose 109*l - 7344 = 41*l. Calculate the remainder when 3994 is divided by l.
106
Suppose 2*f + 6 = 0, -d + 33*f + 56 = 36*f. Calculate the remainder when 386 is divided by d.
61
Suppose 16*k = 6103 - 2023. What is the remainder when k is divided by 71?
42
Let h be -26 + -4*1/1. Let o = h - -47. Suppose -k = 5, 4*k + o = 3*t - 21. Calculate the remainder when 17 is divided by t.
5
What is the remainder when (7854/99)/14*(0/(-1) + 219) is divided by 58?
23
Let r(o) = o**3 - 17*o**2 - 16*o - 24. Let z = 84 + -81. Suppose 0 = 2*m + 4, -5*m - 47 = -q - z*m. Calculate the remainder when q is divided by r(18).
7
Let n = -34 + 50. Suppose -4*q - q - 3*y = -10, 5*q + 5*y = 0. Suppose 172 = q*o - 18. What is the remainder when o is divided by n?
6
Let o = 5459 + -4980. What is the remainder when o is divided by 96?
95
Suppose -2*b = 2*b - 20. Suppose -144 = -b*v + 146. Calculate the remainder when v is divided by -2*((-142 - -2)/(-28))/((-1)/2).
18
Suppose 31*z - 217 = 24*z. Suppose 1153 = z*s - 1544. Calculate the remainder when s is divided by -3*2/(-2)*5.
12
Suppose -4*x = -5*z + 73, -5*x = -z + 135 - 91. What is the remainder when 56 is divided by z?
2
Suppose -11*g + 18 = -8*g. Let f = 75 + -72. Calculate the remainder when g is divided by f.
0
Let l(t) = 13*t**2 - 17*t - 15*t**2 + 6 - 3 - t. Let u be l(5). Let y = 249 + u. Calculate the remainder when y is divided by 23.
20
Let n(b) = -b**2 - 17*b - 50. Suppose -2*u + u + g - 3 = 0, 3*u + g + 29 = 0. Calculate the remainder when 62 is divided by n(u).
18
Let a = -9955 + 9995. What is the remainder when 551 is divided by a?
31
Suppose -57 = -5*n + 8. Suppose 21*a + 4*a - 2875 = 0. What is the remainder when a is divided by n?
11
Suppose 17*y - 3484 = 4*y. Let j = 292 - y. Calculate the remainder when 85 is divided by j.
13
Let d(v) = v**2 + 2*v - 7. Suppose -2*p = -8, -2*g - 2*p + 20 = -4*g. Let f be d(g). Calculate the remainder when -1 - -4 - f*-2 is divided by 27.
10
Suppose -3*k + 282 + 120 = 3*d, 640 = 5*k - 5*d. What is the remainder when 271 is divided by k?
9
Suppose 56*f - 50*f = 6216. Let h = f + -1017. Calculate the remainder when h is divided by 19.
0
Let x = 37 + 219. Suppose -4*b = -12*b + x. What is the remainder when b is divided by 21?
11
Suppose -2*o = -5*v - 209, 4*o + 5*v - 89 = 194. Suppose 0 = 2*x + x - 78. What is the remainder when o is divided by x?
4
Let q = -3643 - -3682. Calculate the remainder when 58 is divided by q.
19
Let o = -2911 - -3306. Calculate the remainder when o is divided by 143.
109
Let n(r) = -7*r + 7. Let g be n(-2). Suppose -g*v + 204 = -17*v. Suppose -3*b + 2*k = -k - 285, -5*b = 4*k - 502. What is the remainder when b is divided by v?
47
Let l(w) = 21*w - 81. Let a(h) = -h**3 + 2*h**2 + 5*h + 2. Let d be a(-2). Calculate the remainder when l(d) is divided by 15.
12
Let a = 1667 - 1643. Suppose 2*i + 7 - 1 = 0. Let b = 4 - i. What is the remainder when a is divided by b?
3
Let d = 12 + 54. Suppose 425*r - 477 = 416*r. Suppose 0 = 55*v - r*v - 386. What is the remainder when v is divided by d?
61
What is the remainder when 3252/14 - (-110)/154 is divided by 223?
10
Suppose 24287*q = 24228*q + 826. Suppose 85 = 3*b - 50. Calculate the remainder when b is divided by q.
3
Let p(c) = c**3 - 18*c**2 + c - 12. Suppose 3*m = 5*r + 44, 3*m - 7*r + 3*r - 46 = 0. What is the remainder when 87 is divided by p(m)?
3
Let d = 715 + -710. Calculate the remainder when 2/d*5750/10 is divided by 43.
15
What is the remainder when 8/(-52) - (-437136)/2184 is divided by 156?
44
Suppose -51*z = -55*z. Suppose -r - 5*n + 29 = z, 0*r + 5*n - 71 = -4*r. What is the remainder when 40 is divided by r?
12
Let o = 16 - 16. Suppose o = -v + 3 + 10. Suppose 2*p + p = r + v, 0 = -r + 2*p - 8. Calculate the remainder when 5 is divided by r.
1
Suppose -16*f = -3*u - 13*f + 216, u - 48 = 5*f. Calculate the remainder when 986 is divided by u.
50
Let g = 2854 - 2752. Calculate the remainder when 492 is divided by g.
84
What is the remainder when ((-4488)/272)/(-1 + 627/636) is divided by 386?
8
Let r(q) = -312*q + 7. Suppose 0 = -i + 13*s - 10*s + 5, -2*i + 2*s + 2 = 0. What is the remainder when r(i) is divided by 80?
79
Let u(i) = -i**3 - 3*i**2 - 2*i - 3. Let b be u(-2). Let f(c) = c + 5. What is the remainder when (-174)/(-6) + 3 + b is divided by f(5)?
9
Let r be (15/(-4))/5 + (-364)/112. What is the remainder when 92 is divided by 4/(r*(-8)/256)?
28
Suppose y + 5*l - 7 = 19, 2*l - 5 = 5*y. Let v = 3862 - 3847. What is the remainder when v is divided by 3 - y - -2*1?
3
Suppose 13*w - 17*w - 504 = 0. Let m = w - -14. Let q = -66 - m. Calculate the remainder when q is divided by 17.
12
Let s = 642 - 615. Suppose -8*x = s*x - 2310. What is the remainder when 263 is divided by x?
65
Suppose -20 = 3*c - 7*c + q, q - 4 = -2*c. Suppose -4*s + 19 = 4*r - 65, -c*r = -3*s - 91. Calculate the remainder when 108 is divided by r.
20
What is the remainder when 161 is divided by (80/15*-1)/(14/(-252))?
65
Let l = 1286 - 1097. Calculate the remainder when l is divided by 19.
18
Let q be 8/3 - 9/(-27). Suppose z + q*h = 48, -h = z - 0*h - 50. Calculate the remainder when 203 is divided by z.
50
Let f(w) = 10*w**2 - 4*w + 6. Let z be f(-3). Suppose -z = 14*u - 17*u. Calculate the remainder when 70 is divided by u.
34
Let s be ((-55)/(-44))/((-1)/(-4)). Suppose -3*o + 3*d = -348, s*d + 466 = 16*o - 12*o. What is the remainder when o is divided by 13?
10
Let c(j) be the second derivative of -j**3/3 - 5*j**2/2 + j. Calculate the remainder when (-527)/(-15) - 20/150 - 141/47 is divided by c(-8).
10
Let v = 12 + 113. Suppose 6*c = c + 455. Suppose 2*h + 33 - c = -3*l, 4*l = -h + 24. Calculate the remainder when v is divided by h.
29
Let k = 17 - -8. Suppose 2*x + z = 11, -4*x + 0 + k = -z. Suppose x*r - 109 = 5. Calculate the remainder when 74 is divided by r.
17
Let a = -4225 - -4304. Calculate the remainder when a is divided by 8.
7
Suppose -4*r + 11*k = 7*k - 276, -r + 4*k = -84. Calculate the remainder when 263 is divided by r.
7
Suppose 21*d + 29*d - 55260 = -10*d. What is the remainder when d is divided by 132?
129
Let s be 1042/(-4) + (-10)/(-20). Let g = -246 - s. What is the remainder when g is divided by 8?
6
Suppose -2*j - 2*c + 6 = 20, 2*c = j + 4. Calculate the remainder when 2*(-381)/j - 1*4 is divided by 18.
15
Let o = -7755 + 7784. What is the remainder when 14/(-7)*(-141)/2 is divided by o?
25
Let o(d) = d**2 - 213*d - 2686. Let x be 1/(1 + (-16)/18). Suppose 91 - x = 2*r. Calculate the remainder when r is divided by o(-12).
13
Let s(n) = n**3 + 111*n**2 + 104*n - 630. Calculate the remainder when 3191 is divided by s(-110).
11
Let x(y) = 5*y**2 - 10*y + 15*y**2 - y - 267 + 279. Calculate the remainder when 4*31 - (-2)/2 is divided by x(1).
20
Calculate the remainder when 192 is divided by ((8/(-14))/((-20)/(-890)))/(5/(-35)).
14
Let u = -57 + 59. Suppose u*l + 2*f = 12, f = l - 0 - 4. Suppose 4*g = -b + 28, -4*b - l*g = -b - 49. Calculate the remainder when 20 is divided by b.
4
Let t = 13588 - 11534. What is the remainder when t is divided by 408?
14
Let u(s) = -9*s - 87. Let r be u(-9). Let i(v) = v**3 + 8*v**2 + 3*v - 10. What is the remainder when i(r) is divided by (-151)/(-9) - 4/(-18)?
10
Suppose 3*m - l = 958 + 837, -3*l + 2389 = 4*m. Suppose m = 7*d - 515. What is the remainder when d is divided by 40?
39
Suppose -3 = h - 2*h. Suppose -3*o 