d by g.
19
Suppose -3*h - 33 = 3*b, -b = 2*h - 0*h + 26. Let u = h + 20. Suppose 2*c - 8 = 0, -2*p + 3*c - u = -25. What is the remainder when 23 is divided by p?
7
Suppose 3*z - 830 = -3*k + 1363, -2*z = -2*k - 1442. What is the remainder when z is divided by 341?
44
Let h be (982/(-4) - 2)*(40 - 42). Suppose -13*i + h = 3*d - 17*i, 3*d + 4*i - 471 = 0. Calculate the remainder when d is divided by 45.
26
What is the remainder when 123 is divided by 4*(69/6 - 2/(-4))?
27
Suppose -4337 = 5*h - 8552. Calculate the remainder when h is divided by 227.
162
Let g = -720 - -734. Let t(a) = -a**3 + a**2 + 8*a + 1. Let j be t(-6). Suppose 5*v - 345 = j. Calculate the remainder when v is divided by g.
12
What is the remainder when 20/(7 + (-1 - (-236)/(-40))) is divided by 52?
44
Let g = -16359 + 16360. Calculate the remainder when 665 is divided by g.
0
Suppose 502*b - 507*b - 15 = 0, 3*b - 2641 = -2*q. Calculate the remainder when q is divided by 39.
38
Let q(y) = -63*y - 6. Let z be q(-1). Suppose z = j + 1. What is the remainder when 279 is divided by j?
55
Let f = 362 + -358. Suppose 3*d = 5*i + 572 - 99, f*d - 627 = 3*i. What is the remainder when d is divided by 17?
3
Let h = 15500 + -15489. What is the remainder when 14132 is divided by h?
8
Suppose -13 - 148 = -7*c. Let m(n) = c*n + 15*n - 6 - 19*n. What is the remainder when m(2) is divided by 12?
8
Let d(m) = -30*m**2 + 3*m + 5. Let h be d(-1). Let b = 67 - h. Calculate the remainder when b is divided by 32.
31
Let z be (-2)/(-4) - (58/(-4) - 1). Suppose -5*q = 4*y - 2*q + 1, 5*y - 2*q = z. Calculate the remainder when 95 is divided by y.
1
Let q(y) = 7*y**2 + y - 2. Let s be q(1). Suppose 0 = -n - s*n + 7. What is the remainder when 90 is divided by 1/n + -46*(-3)/6?
18
Let d = 974 - 504. Let f = -430 + d. Calculate the remainder when f is divided by 15.
10
Suppose 12*p = 631 + 149. Let h = p - -77. Calculate the remainder when h is divided by 36.
34
Suppose 12*x - 19 = 29. Suppose 3*z + 715 = 5*k + 8*z, -713 = -5*k - x*z. Calculate the remainder when k is divided by 37.
30
Suppose 1690 = 87*y - 61*y. What is the remainder when 594 is divided by y?
9
Let t be (2*2/6)/(2/(-255)). Calculate the remainder when 1496/10 - 17/(t/2) is divided by 79.
71
Suppose r = 3, 5*r + 28 - 1 = 3*q. Let d = 19 + -15. Calculate the remainder when (d/5)/((-14)/(-665)) is divided by q.
10
Let t = -23 - -7. Let s = t - -13. What is the remainder when 1*s - (-27 - -9) is divided by 10?
5
Let q(f) = f**3 + 5*f**2 - 228*f - 52. What is the remainder when 1686 is divided by q(13)?
22
Let u be ((-106)/(-12) - 8)*3*2. Suppose -y = -24 + u. Calculate the remainder when 336 is divided by y.
13
Let m(c) = -92*c + 734. Calculate the remainder when m(7) is divided by 49.
41
Let p(j) = -2*j + 33. Let c be p(15). Suppose 4*v - 2*z + 33 = -137, c*v - 3*z + 129 = 0. Let q = -7 - v. Calculate the remainder when 68 is divided by q.
33
Let h(b) = -35*b - 5. Let o be h(-2). Suppose -30 = 6*u + 132. Let w = o + u. Calculate the remainder when w is divided by 13.
12
Let o be (702/(-24))/((58/87)/((-16)/9)). Suppose -42 = 5*d + 273. Let t = o + d. What is the remainder when t is divided by 4?
3
Let d(y) = y**3 - 24*y**2 + 16*y + 41. Let p(m) = 2*m**2. Let l(v) = d(v) + 3*p(v). Calculate the remainder when 166 is divided by l(17).
22
Let y be ((-1)/2)/(1/(-12)). Suppose -10 = y*v + 8. Let m(s) = -3*s**3 + s**2 + 10. What is the remainder when m(v) is divided by 26?
22
Suppose 237*p = 242*p + 5*r - 10260, 4*p + 3*r = 8202. Calculate the remainder when p is divided by 8.
6
Let f(p) = -p**2 - 96*p - 914. Suppose 9 + 0 = k. Calculate the remainder when f(-85) is divided by k.
3
Suppose l - 4*i + 28 = 142, 0 = 4*l + i - 405. What is the remainder when l is divided by 30?
12
Let f(b) = -8*b + 241. Let y be f(30). Let s(l) = 91*l**3 - 2*l**2 + l + 2. Calculate the remainder when s(y) is divided by 49.
43
Let d = 42 + -30. Suppose -5*z + 87 - d = 5*g, -4*z - 102 = -5*g. Suppose 40 = 5*v + 3*i, -2*v - i = -4 - 13. What is the remainder when g is divided by v?
7
Let a = -129 + 225. Let k(p) = p**3 + 5*p**2 - 9*p - 12. Suppose o - 10*o - 45 = 0. Calculate the remainder when a is divided by k(o).
30
Let r = 420 - -172. Let f = 626 - r. What is the remainder when 100 is divided by f?
32
Suppose 0 = p - 6*p + 5*k + 55, 3*p + 2*k = 28. Suppose 5*s = -3*m + 112, 123*m - 124*m + 4*s = -9. What is the remainder when m is divided by p?
9
Suppose -8*b + 316 = -8*b + b. What is the remainder when b is divided by 6?
4
Let t(o) = 5*o + 6. Let k(p) = p**3 - 40*p**2 + 37*p + 212. What is the remainder when k(39) is divided by t(6)?
26
Suppose 5*d + 582 = 2*x, 4*x - 184*d - 1186 = -185*d. Calculate the remainder when 307 is divided by x.
11
Let u be 4/(-36)*-11 - 2/9. Let d = u - -93. Suppose 4*z - 138 = 54. What is the remainder when d is divided by z?
46
Let j = 11022 + -11011. Let d = -5 + 2. Let a = -1 - d. What is the remainder when j is divided by a?
1
Let k = -46 + 33. Let w = 483 + -464. Calculate the remainder when w is divided by 134/12 - k/(-78).
8
Let w(a) = -a**2 - 18*a - 28. Let c be (-1)/7*111 - (-5)/(-35). What is the remainder when 42 is divided by w(c)?
2
Let g(w) = -w + 4. Let o be g(5). Let d be ((-6)/2 - 93) + o. Let p = -74 - d. What is the remainder when 91 is divided by p?
22
Let u(j) = -j**3 - 12*j**2 - 12*j + 6. Let w be u(-8). Let k = -78 - w. What is the remainder when 55 is divided by (11/44)/(1/k)?
17
Let n = -9553 + 9814. Calculate the remainder when n is divided by 56.
37
Let k be ((-11)/((-66)/(-8)))/((-2)/(-6)). Calculate the remainder when (8/(-10)*-5)/(k/(-40)) is divided by 11.
7
Let q = 14 - -9. Let z = 23 - q. Suppose z = -2*r - 4*l + 110, 28 + 23 = r + l. Calculate the remainder when 138 is divided by r.
44
Let k = 15 - 4. Let a be 203/6 - (7 - (-129)/(-18)). Suppose 0 = 3*g - 4*b - a, -g - 3*g = -b - 28. Calculate the remainder when k is divided by g.
5
Suppose -2*j + y + 180 = 0, 262 = -j - 2*y + 352. Calculate the remainder when 538 is divided by j.
88
Suppose -2*a - 237 = -245. Calculate the remainder when (-40)/6*(-1 + -2) is divided by (-192)/(-16)*4/a.
8
Suppose 22*v = 32343 + 12405. Calculate the remainder when v is divided by 37.
36
Let t(h) = 5*h**2 + 21*h + 181. Let u(p) = -p**2 - 2. Let z(v) = t(v) + 6*u(v). What is the remainder when 46 is divided by z(27)?
4
Suppose 6 = -144*j + 147*j. Suppose j*o - z + 70 = -5*z, 185 = -4*o + z. What is the remainder when 60 is divided by (25 - 1)/(o/(-30))?
12
Let q(d) = -27*d + 22. Let f be q(-11). Let j = f + -161. What is the remainder when j is divided by (-4)/(-26) - (-1036)/26?
38
Let u(v) = 4*v**2 + 80*v - 82. What is the remainder when u(-27) is divided by 4?
2
Let t = 4468 - 1984. What is the remainder when t/10 - (-60)/100 is divided by 28?
25
Suppose -2*k - 6*z = -4*z - 4, 0 = k + 3*z. Suppose -3*l = 2*o - 41, k*o + l - 78 = 2*l. Let h = o + -10. Calculate the remainder when 87 is divided by h.
12
Let k(p) = 4*p**2 - 21*p + 32. Calculate the remainder when k(-10) is divided by (40/(-25))/(42/(-2415)).
90
Suppose 4 = g, -7*g + 9*g - 47 = -u. Let m = 89 + 40. Calculate the remainder when m is divided by u.
12
Suppose -4*z + 2268 = g, 62*g + 624 = z + 48*g. Calculate the remainder when z is divided by 26.
22
What is the remainder when 679 is divided by (1 + (-12)/24)*76?
33
Let x(k) = 12*k**2 + 122*k + 1095. Calculate the remainder when x(-8) is divided by 227.
206
Suppose -3*r - 2*t + 3594 = 0, 14*r + 4*t + 2412 = 16*r. Suppose -34*i + r = -1078. Let g(u) = u**2 - 5*u + 9. What is the remainder when i is divided by g(7)?
21
Let f(v) = -2*v**2 + 50*v - 48. Let o be f(16). Suppose 12*t - o = 7*t. What is the remainder when 623 is divided by t?
47
Let g(b) = -56. Let o(h) be the first derivative of -h**2/2 + 55*h - 14. Let p(u) = 6*g(u) + 5*o(u). Calculate the remainder when p(-23) is divided by 21.
12
Let p = 34 + 100. Suppose 395 = -5*q - 0*q. Let g = p + q. What is the remainder when g is divided by 28?
27
Let m = -17796 - -18177. What is the remainder when 1151 is divided by m?
8
Let q(x) = x**3 - 54*x**2 - 176*x + 337. What is the remainder when q(57) is divided by 13?
0
Suppose -l = -v - 86, 5*l - 4*v + 5*v - 412 = 0. Suppose 164*p + 347*p = 49434 + 88025. 