k - 7161 - 8751 = 0. What is the remainder when 1225 is divided by k?
1
Let h(n) be the third derivative of n**4/12 + 67*n**3/6 - n**2 - 3*n. Let c = 25 - -2. Calculate the remainder when h(33) is divided by c.
25
Let y(a) = -27*a + 2. Let m(z) = -z**3 + 5*z**2 + z - 7. Let n be m(5). Let x be y(n). Suppose -h + x = 6*h. What is the remainder when 22 is divided by h?
6
Let w be 12 + -5 + -7 + 0. Suppose w = -2*y - g + 5, -3*y = -2*g - 7 - 18. Calculate the remainder when 166 is divided by y.
1
Suppose 5*c + 464 = 3*n, 3*c = -n - 3*n + 638. Calculate the remainder when 3786 is divided by n.
152
Let h = 49355 + -23468. What is the remainder when h is divided by 16?
15
Let h(d) = -24*d - 477. Calculate the remainder when 493 is divided by h(-24).
97
Let o(u) = -u**2 - 8*u - 11. Let f be o(-4). Suppose -2*d = -f*d + 75. Calculate the remainder when d is divided by (-3)/(-7) + (1 - (-265)/35).
7
Calculate the remainder when ((-252)/198)/((-1)/451) is divided by 193.
188
Let f = 22228 + -22052. What is the remainder when f is divided by 1?
0
Suppose 689*f - 666*f - 414 = 0. Let t(c) = -c**3 - c**2 + 69. Suppose 5*k - k - 12 = 4*y, -4*k - 5*y = 15. What is the remainder when t(k) is divided by f?
15
Let h = 232 + -377. Let v = h - -158. Let s(y) = -7*y - 1. What is the remainder when s(-5) is divided by v?
8
Suppose c - 412 = -4*s + 116, -8*s + 2112 = 4*c. Calculate the remainder when c is divided by 181.
166
Let z = 5102 + -3174. Let l = z + -1370. Calculate the remainder when l is divided by 16.
14
Suppose -7 + 80 = 3*p + 5*z, -2*p = 5*z - 47. Suppose 0 = p*h - 13*h - 507. What is the remainder when h is divided by 14?
11
Let w be ((-232)/(-406))/((-4)/(-70)). Let c(z) = 3*z**2 - 2*z + 4. Calculate the remainder when c(w) is divided by 57.
56
Let o be 1*(-7 - -473) + 1. Let j = o - 427. Calculate the remainder when j is divided by 11.
7
Suppose -4*p + 0*p + 172 = 0. Suppose 35 = -2*t + 193. Let a = t - p. Calculate the remainder when a is divided by 19.
17
Let m(c) = 14*c + 1352. Calculate the remainder when m(-62) is divided by 3.
1
Let v = -4918 + 5111. What is the remainder when 7718 is divided by v?
191
Let b(t) = 112*t - 132. Let a = -2 + 6. Suppose 2*u - 50 = a*i, 15 = -3*i - 2*i. What is the remainder when b(2) is divided by u?
16
Let w = 3894 - 3002. What is the remainder when w is divided by 69?
64
Let r = -21 - -34. What is the remainder when (333 + 2 + -1)/(-45 + 47) is divided by r?
11
Let s(z) = 39*z**3 + 5*z**2 - 2*z - 2. What is the remainder when 183 is divided by s(1)?
23
Let z(i) = -83*i - 1. Let t be z(-1). Let h(r) = -r**3 - 22*r**2 + 46*r - 126. Let d be h(-24). Let j = t + d. Calculate the remainder when 22 is divided by j.
2
Calculate the remainder when 2430 is divided by -30*-2*6/(-12)*(-16)/24.
10
Let s(b) = -b**3 - 9*b**2 - 5*b - 1. Suppose -r - 20 = 3*v + 5, -2*r = 2*v + 14. Let f be s(v). Calculate the remainder when 96 is divided by 334/10 + f/(-110).
30
Let c(o) = o**2 + 4*o + 4. Let v be c(4). Suppose -19*x + 15*x = -v. Calculate the remainder when 4/(-6) + 6/9 + 14 is divided by x.
5
Suppose 6 = -3*a, -r - a - 3 = -13. Suppose 0 = z + 2*z - 15. Suppose -3*k = 5*y - 244, 3*y - 59 - 353 = -z*k. Calculate the remainder when k is divided by r.
11
Suppose -26*a + 1359 = -4751. What is the remainder when 2357 is divided by a?
7
Let a(s) = 25*s - 108. Let p be a(-18). Let o = p + 571. Let y = 89 - 25. Calculate the remainder when y is divided by o.
12
Let o be 10*(6 - 66/12) + -1. Suppose -257 = -3*v + 3*x + 2*x, 4*x = -o*v + 396. Calculate the remainder when v is divided by 26.
16
Suppose -5*y + 391 = -339. Calculate the remainder when 690 is divided by y.
106
Suppose -3*s + 3*g + 32 = g, -22 = -2*s + g. Let p be 5*(-4 - (-7 - (-4 + 2))). Calculate the remainder when 18/45 - (-1 + (-168)/p) is divided by s.
11
Let d = -8540 - -8564. What is the remainder when 2183 is divided by d?
23
Suppose -4703 = 9*z + 3784. Let c = -884 - z. What is the remainder when 291 is divided by c?
55
Let j(l) be the first derivative of -9*l**2/2 + 48*l + 23. Calculate the remainder when 33 is divided by j(4).
9
Suppose -14*v + 9*v + 33 = 2*a, 2*a - 4*v - 6 = 0. What is the remainder when (a/(-2))/(-2 + (-170)/(-88)) is divided by 20?
6
Suppose -18*c - 5*j - 1984 = -22*c, -8*j = -4*c + 2008. Calculate the remainder when c is divided by 29.
22
Suppose -127*c + 4*t + 745 = -126*c, 3*t = 2*c - 1520. Calculate the remainder when c is divided by 285.
199
Let a = 2763 - 2719. Calculate the remainder when 52 is divided by a.
8
What is the remainder when 0/(-3) - ((11 - 1230) + 11) is divided by 14?
4
Suppose 3*s + 732 = 5*s - 1462. Calculate the remainder when s is divided by 44.
41
Suppose 2*s = 1063 - 1047. Calculate the remainder when 1175 is divided by s.
7
Let p be (-4)/14 - 4/(-14). Suppose p = -3*b + 4*b - 11. What is the remainder when (-10)/((-1)/(6 + -4)) is divided by b?
9
Let n(z) = z**3 + 4*z**2 + 5. Let m be n(-4). Let o = -3052 + 3116. What is the remainder when o is divided by (-13)/(-4)*(-1 + m)?
12
Let c(l) = -191*l - 1745. What is the remainder when 2217 is divided by c(-13)?
3
Suppose -4*h + 4 = 0, -n - h = -5*n + 1079. Let t = -405 + n. Let p = -125 - t. Calculate the remainder when 65 is divided by p.
5
Calculate the remainder when 947364/4620 - (-4)/(-70) is divided by 27.
16
Let b = -106 + 53. Let i = 25 - b. What is the remainder when i is divided by 42?
36
Suppose d - 292 = -d - 3*c, -3*d + 433 = 2*c. Let u = -79 + d. Suppose 49*w - 45*w - u = 0. Calculate the remainder when w is divided by 9.
7
Let a be 1938/34*2/(-6). Let c = 59 + a. Calculate the remainder when 438 is divided by c.
38
Suppose 4*w - 21*k = -17*k + 36, 0 = 4*w + 4*k - 12. What is the remainder when 190 is divided by 14/(-28) + 357/w?
13
Suppose 0 = 3*r + r - 4*g - 4468, -g = 5. Let x be r/(-16) + (-1)/2. Let j = -56 - x. What is the remainder when 22 is divided by j?
8
Suppose -14 = -3*w + 2*j, -4*w - 5*j + 191 = 157. Calculate the remainder when 515 is divided by w.
5
Suppose 378 - 738 = -6*h. Suppose -h = -11*m + 50. Calculate the remainder when 44 is divided by m.
4
Let w(h) = h**3 + 10*h**2 - 42*h - 241. What is the remainder when 3070 is divided by w(6)?
82
Let w(p) = -p**2 + 12*p + 11. Suppose 3*v + o - 31 = 0, -2*v - 7 = -o - 21. What is the remainder when 119 is divided by w(v)?
5
Calculate the remainder when 436 is divided by (-7)/63*21*-3.
2
Suppose 0 = 5*m - 12 + 2. Let z(k) = 4 - 3*k**m + 5*k**2 + 4 + 29*k - k**2. What is the remainder when 14 is divided by z(-29)?
6
Let x = 9088 + -8260. Calculate the remainder when x is divided by 76.
68
Suppose 0 = -10*f - 4*f + 4816. What is the remainder when f/3 + (-2)/3 is divided by 23?
22
Let w be ((-60)/40)/(-1*(-2)/(-8)). What is the remainder when (11 + -13)*(-207)/w is divided by (-4)/18 + 634/18?
34
Suppose 8 = 6*g - 16. Suppose 6*n + 2 = g*n. Calculate the remainder when 41 is divided by (245/28 - -6) + n/(-4).
11
Suppose -3*t = -6*w + 7*w + 35, -3*t = 5*w + 19. What is the remainder when (t - -105) + (1 - -4) is divided by 19?
2
Let p(b) = b**3 - 3*b**2 - 4*b + 10. Calculate the remainder when 76 is divided by p(0).
6
Suppose 91 = 3*q + u - 237, 3*u + 324 = 3*q. Calculate the remainder when 2284 is divided by q.
104
Let m(c) = c**2 + 6*c - 23. Let u be m(-10). Suppose -5*b = -192 + u. What is the remainder when (134/4)/(-4 - 9/(-2)) is divided by b?
32
Let a = 26119 + -19491. Calculate the remainder when a is divided by 34.
32
Let r(n) = -n**3 + 5*n**2 - 3*n + 1. Let g be r(3). Suppose -5*u + g*u + 465 = 0. Let x = 203 + u. What is the remainder when x is divided by 28?
26
Let q = 1898 - 1255. Let z = -509 + q. Calculate the remainder when z is divided by 21.
8
Suppose 3*a = 25 + 8. Suppose -17*m + 30 = -a*m. Suppose m*u - 4 - 18 = q, -4*u - 5*q + 6 = 0. Calculate the remainder when 11 is divided by u.
3
Let j(d) = 5*d**3 + 8*d**2 - 28*d + 2. Calculate the remainder when j(4) is divided by 112.
2
Let t = 59 - 144. Let g = 72 + t. Let h = 37 + g. What is the remainder when 43 is divided by h?
19
Suppose 11*o - 1928 = o - 308. Calculate the remainder when o is divided by ((-152)/(-3))/4 - (-6)/(-9).
6
Let q be 2/(28/8 + -3). Suppose q*k = -g + 605 + 1002, -5*g - 1234 = -3*k. Let b = k + -274. Wh