r when q(2) is divided by 306.
254
Suppose u + 5*o + 9 - 8 = 0, 4*u + 2*o = 32. Suppose -u*i - i + 1190 = 0. What is the remainder when i is divided by 53?
13
Suppose 211628*u + 40 = 211638*u. Calculate the remainder when 3125 is divided by u.
1
Let g(o) = -o**3 - 33*o**2 - 203*o + 52. Calculate the remainder when 468 is divided by g(-25).
87
Suppose -26*t + 408 = -112. Suppose -59 - 1369 = 3*v + 3*f, -v - 2*f = 478. What is the remainder when 1/(3/v*-2) is divided by t?
19
Let o = -113 + 131. Suppose 3 = 3*b, -43 = -5*n - b + 8. What is the remainder when n is divided by o/(-12)*4/(-1)?
4
Suppose -g + 35 = 572. Let o = g + -247. What is the remainder when o/(-7) - (0 - (-1)/1) is divided by 38?
35
Suppose q - 58 = -q. Let w be (-6)/(-2)*(-892)/6. What is the remainder when w/(-8) - 4/(-16) is divided by q?
27
Let o(w) = -w**3 + 9*w**2 + 26*w + 13. Let s be o(-7). Suppose -861 = -7*v - 3*a - 0*a, -5*v = -5*a - s. What is the remainder when v is divided by 18?
15
Let n = 18835 + -18779. Suppose 5*t - 24 = t. Calculate the remainder when n is divided by t.
2
Suppose -3*s - 4*v + 21 = 0, 17*s - 21 = 12*s - 2*v. Suppose 0 = -s*b + 82 - 34. Calculate the remainder when 28 is divided by b.
12
Let j = -1068 + 1113. Suppose -342 = -4*z + 2*c, 2*z + 2*c = 7*z - 430. What is the remainder when z is divided by j?
43
Let u(n) = -112*n**3 + 2*n + 5. Let r(o) = -2*o**3 + 15*o**2 + 33*o - 24. What is the remainder when u(-2) is divided by r(9)?
27
Let d(t) = -11*t**3 - 3*t**2 - 3*t - 1. Let w be d(-1). Suppose -n = -2*g + w - 1, 0 = -2*g - n + 11. Calculate the remainder when 27 is divided by g.
2
Let a = 7771 + -5542. Calculate the remainder when a is divided by 29.
25
Let p(z) = -23*z + 86. Let i be p(-21). Suppose -i*s = -578*s + 90. What is the remainder when 309 is divided by s?
9
Suppose -3*o + 0*p + 60 = 2*p, -2*p + 78 = 4*o. Calculate the remainder when (138/o)/(-4 - (-820)/204) is divided by 28.
27
Suppose 77530 = -219*b + 225793. What is the remainder when b is divided by 57?
50
Suppose -4*p - 6 = -q + 1, 0 = -3*p + 2*q - 4. Let b(a) be the first derivative of -15*a**2/2 + 5*a + 5. Calculate the remainder when b(p) is divided by 10.
5
Let j(w) = w**2 - 9*w - 34. Let t be j(12). Suppose 19 + 1 = t*y. Calculate the remainder when 19 is divided by y.
9
Let r = -38 + 14. Let z = r - -29. Suppose 2*h = z*h - 27. Calculate the remainder when 34 is divided by h.
7
Suppose 0 = -4*l - 4*z - 8 + 56, -3*z = -3*l + 60. Let g be 14 + (-2)/((-2)/(-1)). Let u = l + g. Calculate the remainder when u is divided by 17.
12
Let j = 11513 + -6958. Calculate the remainder when j is divided by 15.
10
Let c be 4 - 5/((-15)/6). Let y(q) = q**3 - 5*q**2 - 9*q + 9. Let m be y(c). Let s(o) = 2*o**2 + 18*o + 12. What is the remainder when 94 is divided by s(m)?
10
Suppose 3*m + 13 = 5*g + 2, 4*m - 28 = -4*g. Let d(h) = 48*h**3 + h. Calculate the remainder when d(1) is divided by (m + -4)/((-1)/25).
24
Suppose 0 = 9*b - 185 + 95. Let q = -54 + 81. What is the remainder when q is divided by b?
7
Let l be 4 - (-1 - 1)/(1 + -2). Suppose 5*k = -20, -424 = -4*h - 0*k - l*k. Calculate the remainder when h is divided by 57.
51
Suppose 6968 = -15*g + 2093. Let b = 377 + g. What is the remainder when 361 is divided by b?
49
Suppose 0 = -3*c - 0*c. Suppose c = -0*h - h + 19. What is the remainder when -7 + -2 - (38 - 101) is divided by h?
16
Suppose 0 = 337*n - 3988 - 4100. What is the remainder when 1868 is divided by n?
20
Let q = 7 - -5. Suppose 1877 = 7*w + 43. What is the remainder when w is divided by q?
10
Let i = 2035 + -1388. Calculate the remainder when i is divided by 50.
47
Let r(z) = z + 27. Suppose -5*s = p + 30, -82*s + 20 = -85*s - p. Let k = 205 - 122. What is the remainder when k is divided by r(s)?
17
Suppose -v = 5*u - 222, -3*u - 444 = -34*v + 32*v. What is the remainder when v is divided by 10?
2
Suppose 0 = 2*b + 5*b - 14. What is the remainder when 26 is divided by b/2*(6 + 8/(-4))?
2
Let u = -7417 + 7459. Calculate the remainder when 80 is divided by u.
38
Suppose 5*n - 160 = 5*v, 0 = -2*n - 0*n + 5*v + 67. Let p(w) = -2*w + 137. Calculate the remainder when 372 is divided by p(n).
72
Let c be (-11 - -1)*2/(-4). Suppose 5*k + 372 - 37 = c*x, 2*k - 82 = -x. What is the remainder when x is divided by 38?
34
Let v be 12/(-15)*-10 - 3. Calculate the remainder when 1/((-708)/142 + v) is divided by 38.
33
Let i(z) = z**3 - 17*z**2 + 3*z - 363. What is the remainder when 1041 is divided by i(18)?
6
Let o be 2/6 + ((-64)/12)/(-2). Suppose -o*f - 139 + 232 = 0. What is the remainder when 99 is divided by f?
6
Let x(y) = 2*y**3 + 85*y**2 + 197*y - 36. What is the remainder when 770 is divided by x(-40)?
14
Let i(o) = o**2 - o. Let w be i(-4). Let f = w - -21. Calculate the remainder when f is divided by (-6)/(-8) + (-742)/(-56).
13
Let n = -5230 - -5515. What is the remainder when n is divided by 6?
3
Let a = -5604 + 5623. What is the remainder when 7445 is divided by a?
16
Suppose 16*q + 5*q = 1113. Suppose 0 = -3*a - 3*f + 67 + 8, 2*a - q = -3*f. What is the remainder when 37 is divided by a?
15
Let b be -3 + (-2 - -6) + (-24)/(-1). What is the remainder when b + 10/(80/72) is divided by 8?
2
Calculate the remainder when 777 is divided by 3324/26 - (-9 - 345/(-39)).
9
Let k = 2671 + -2626. What is the remainder when 29292 is divided by k?
42
Let w = 88 + -84. Suppose w*o - 68 = -2*c, -3*o - 41 = 4*c - 202. Calculate the remainder when 174 is divided by c.
42
Let p(s) = -5*s + 13. Let z be p(2). Suppose z*t - 8 = -4*h, 0 = 3*t - 4*h - 0*h - 16. Calculate the remainder when 3*3/6 + 278/t is divided by 18.
17
Calculate the remainder when 236 is divided by ((-282)/72 - (-33)/(-44))*-9.
26
Let u(t) = t**3 - t**2 + 31*t - 154. Calculate the remainder when 868 is divided by u(6).
20
Let n(x) = 9*x**2 - 67*x + 495. What is the remainder when n(16) is divided by 245?
12
Calculate the remainder when 435 is divided by 14 + ((-9)/15 - 363/(-55)).
15
Let o(b) = 15*b - 26. Let v be o(14). Suppose 0 = 5*r - 2*q + 215, -2*r - 2*r - v = -4*q. Let k = r + 55. Calculate the remainder when k is divided by 5.
4
Let a(u) = -5*u**2 - u + 18. Let b be a(13). Let w be ((-6)/(-4))/((-10)/b). Calculate the remainder when 102 is divided by 20/6*w/12.
32
Let s(r) = -11*r - 665. What is the remainder when s(-78) is divided by 80?
33
Let w(o) be the first derivative of 38*o**3/3 + 6*o**2 - 12*o + 42. What is the remainder when 161 is divided by w(1)?
9
Let d(j) = -4*j**2 - 4*j. Let m be d(-4). Let w = 50 + m. Suppose -4*a = 20, l - 5*a = 38 - 10. Calculate the remainder when l is divided by w.
1
Let v(q) = 22*q**2 - q - 1. Let u = -1138 + 1398. What is the remainder when u is divided by v(-1)?
18
Let q = -39 + 41. Let y(b) = 3*b**3 - 4*b**2 + 6*b - 4. Let g be y(q). Calculate the remainder when 256/26 - g/(-104) is divided by 6.
4
Let i(q) = -7*q**3 + 7*q**2 - 6*q - 1. Let g be i(-4). Suppose -g = -5*l - 4*f, 452 = 4*l - 5*f + f. Calculate the remainder when l is divided by 41.
33
Let c = 359 + -352. Suppose -c*w + 8*w = 15. What is the remainder when 298 is divided by w?
13
Suppose 0 = 4*b + 5*g - 99, 2*g + 18 = 2*b - 18. Let v(h) = 2*h**2 + 18*h + 75. What is the remainder when 261/4 - b/(-28) is divided by v(-5)?
31
Let n(d) = d**3 - 35*d**2 - 7*d + 47. Let u be n(35). Let f = u - -253. What is the remainder when 163 is divided by f?
53
Suppose p - 5 = 5*v - 0*v, 0 = 4*p - 3*v - 20. Let s(z) = 2*z**3 - 24*z**2 + 64*z - 21. What is the remainder when s(3) is divided by p?
4
Let y = -820 + 1815. Calculate the remainder when 1025 is divided by y.
30
Let f(k) = 39*k**2 + 8*k - 5. What is the remainder when 659 is divided by f(2)?
158
Let j = -706 + 716. What is the remainder when 96 is divided by j?
6
Suppose -5*c = s - 25, 2*c + 0*s = -5*s + 33. Suppose -c*b = -4*k - 184, -k = 5*b - 0*k - 218. Calculate the remainder when 393 is divided by b.
41
Suppose -x = 2*x + 6, -w = -3*x - 106. Let h = -1564 + 1567. Suppose -h*t + w = t. Calculate the remainder when 71 is divided by t.
21
Let y be 269 - 42/(-6 - 1). Suppose -28*c + 2*i + y = -23*c, -c + 67 = 2*i. What is the remainder when 145 is divided by c?
31
Let u = 25325 - 25267. Calculate the remainder when 158 is divided by u.
42
Let f be ((-108)/(-