 is divided by m.
4
Let p = 6718 - 6648. Calculate the remainder when 134 is divided by p.
64
Let c(n) = 9*n**2 - 2*n - 1. Let s(u) = u - 1. Let b be s(0). Calculate the remainder when c(b) is divided by ((-8)/(-10))/(98/245).
0
Let o(g) = -142*g - 2607. What is the remainder when o(-40) is divided by 29?
28
Let j = -9232 - -9281. Calculate the remainder when 4605 is divided by j.
48
Let o = 499 + -465. What is the remainder when o is divided by (2 + (-12)/8)/((-4)/(-104))?
8
Let v(t) = 35*t**3 + 18*t - 2*t - 3 - 34*t**3 - 12*t**2. Suppose 4*p - 18 = -2*l, 0 = 5*p - 0*l - 2*l - 36. What is the remainder when v(11) is divided by p?
4
Calculate the remainder when ((-107)/5)/(((-60)/275)/12) is divided by 38.
37
Let a(b) = 3*b + 14. Let o be a(0). Let c be o*5/((-175)/(-30)). Suppose 6 = -2*w, -w = -3*z + w + c. Calculate the remainder when z is divided by 1.
0
Let t = -6231 - -6982. Calculate the remainder when t is divided by 36.
31
Suppose 1136 + 1744 = 9*y. Calculate the remainder when y is divided by 28.
12
Let h(k) = k**2 - 15*k + 10. Let p be h(15). Suppose -p*a = -102 - 98. Suppose -2*r = -0*r - 62. Calculate the remainder when r is divided by a.
11
Suppose -2*f = 3*s + 25, -s + 10 = -f - 2*s. Let q(i) = -2*i + 12. Let t = 586 + -580. Calculate the remainder when q(f) is divided by t.
4
Suppose 0 = 144*x - 138*x - 108. Suppose -x*r + 48 = -15*r. Calculate the remainder when 26 is divided by r.
10
Calculate the remainder when ((-129)/1)/(-396 + 393) is divided by 42.
1
Suppose -j - 3*a + 6 = 0, 2*j - a - 26 = -0*a. Suppose 179 + 1865 = 73*p. What is the remainder when p is divided by j?
4
Let q(x) = -217*x + 1625. Calculate the remainder when 4133 is divided by q(7).
105
Let g = -734 + 741. Suppose -g*m - 24*m + 4991 = 0. What is the remainder when m is divided by 9?
8
Let w = -2530 - -2556. What is the remainder when 1090 is divided by w?
24
Let a = 25262 - 25160. Calculate the remainder when 1605 is divided by a.
75
Let h(i) = 29*i**2 - 2*i + 3. Let n(t) = 29*t**2 - 2*t + 2. Let b(p) = -6*h(p) + 7*n(p). What is the remainder when b(-2) is divided by 8?
4
Let c = 8932 - 8379. What is the remainder when c is divided by 88?
25
Suppose -3*n + 2647 + 1439 = 0. What is the remainder when n is divided by 11?
9
Let i(y) = -y**3 - 25*y**2 + 70*y + 34. Suppose 0 = 5*l + 5*h + 138 + 17, 75 = -3*l + 3*h. Calculate the remainder when i(l) is divided by 61.
60
Let r(p) = 2*p**3 - p**2 - p - 2. Let f(o) = 8*o**2 - 18*o + 14. Let k be f(-6). Let u = k - 359. Calculate the remainder when u is divided by r(2).
3
Let t = 349 + -199. Suppose -33 = -3*k + t. What is the remainder when k is divided by 35?
26
Let y(v) = 3*v**3 + 29*v**2 - 27*v - 80. Calculate the remainder when y(-8) is divided by 222.
12
Suppose w + w - 966 = -5*w. What is the remainder when 156 is divided by w?
18
Suppose 52*b - 33118 = -6*b. What is the remainder when b is divided by 34?
27
Suppose -40 = 97*j - 48*j - 1216. Let m = -48 - -79. What is the remainder when m is divided by j?
7
Calculate the remainder when ((-20900)/560 - (-4)/7)/((-6)/88) is divided by 22.
11
What is the remainder when 144/(-504) + (-6794)/(-14) is divided by (1 - -5)*(-12)/(-72) + 60?
58
Let j(f) = f**3 + 10*f**2 - f - 27. Let g be j(-7). Suppose 0 = -17*v + g + 77. What is the remainder when 51 is divided by v?
3
Let f(a) = 1635*a + 4259. What is the remainder when f(4) is divided by 108?
107
Let k(m) = m**3 + 4*m**2 + 4*m. Let c be k(-3). Let g(x) = -x**3 + 2*x**2 - 13*x + 17. Calculate the remainder when ((-15)/(-2))/(c/(-18)) is divided by g(0).
11
Let v(n) = -n**2 + 8*n + 1. Let c = -3434 - -3753. What is the remainder when c is divided by v(7)?
7
Let f = 744 + -688. Suppose -8*s + s = -35. Calculate the remainder when (-2)/(-3)*(s - -157) is divided by f.
52
Let s(b) = 3*b**3 - 90*b**2 + 13*b - 376. Calculate the remainder when 1326 is divided by s(30).
10
What is the remainder when (-277090)/(-220) + (-2)/4*1 is divided by 85?
69
Calculate the remainder when 780 is divided by (-25696)/(-1584) + (48/27 - 2).
12
Let l be (-1)/5 + (-1)/(-5). Suppose 0 = -5*s - l*s + 265. What is the remainder when s is divided by 2/11 + 3/(-44)*-452?
22
Let l = 918 - 910. Calculate the remainder when 154 is divided by 45 + ((-896)/(-196) - l/14).
7
Let c(t) = 5*t + 32. Let y be c(4). Suppose 54*f = 50*f + y. Calculate the remainder when 51 is divided by f.
12
Let p(r) = -r**3 + 6*r**2 + 2*r + 12. Let g be p(6). Calculate the remainder when 111 is divided by 18/g*(-520)/(-15).
7
Let j(d) = d**3. Let p(h) = 7*h**3 - 3*h**2 + 2*h - 7. Let r(b) = 3*j(b) + p(b). Calculate the remainder when r(2) is divided by 21 - (0 - (-1 + 2)).
21
Suppose 0 = 6*p + 18, 0 = -5*f + 8*f - 2*p - 1497. What is the remainder when 533 is divided by f?
36
Suppose -8*f + 1676 = -3*f + h, -1680 = -5*f - 5*h. Suppose 2503 + f = 22*t. What is the remainder when t is divided by 13?
12
Let j(q) = 126 - 4*q + 166 - 91 + 12. Calculate the remainder when j(-39) is divided by 10.
9
Let s(a) = -a**3 + 63*a**2 - 96*a + 866. What is the remainder when s(51) is divided by 123?
122
What is the remainder when (((-10134)/4)/(13 + -12))/(60/(-120)) is divided by 130?
127
Let n = -3616 - -3650. Let i = -18 + 117. Calculate the remainder when i is divided by n.
31
Let i(r) = -11*r - 7. Let p be i(-4). Suppose -3*h + 0 = -f - 9, 2*f - p = -5*h. What is the remainder when (3 + (615/f)/5)*6 is divided by 36?
33
Let x(o) = -10 - 3 + 13 + o**3 + 31*o + 17*o**2. Let q be x(-13). Let a = q - 49. Calculate the remainder when a is divided by 15.
14
Let i(r) = -38*r + 262. Calculate the remainder when 86 is divided by i(5).
14
Suppose -3501 = -10*v + 1649. What is the remainder when v is divided by 108?
83
Suppose 3*f + 2280 = 20*v - 17*v, f - 2264 = -3*v. What is the remainder when v is divided by 44?
8
Suppose 3333*m - 3377*m + 71236 = 0. Calculate the remainder when m is divided by 21.
2
Let x be 36*((-88)/24 - 6/(-2)). Calculate the remainder when ((-209)/57)/((-2)/x*-1) is divided by 26.
18
Suppose 3*g - 12 = 0, -3*h + 0*g = 3*g - 51. Suppose -2*o + 9 = s, 12*s - 15*s + 72 = -3*o. What is the remainder when s is divided by h?
6
Let d = 5 - -2. Let u = -54052 - -54105. What is the remainder when u is divided by d?
4
Suppose 4*f = -4*i + 860, 0 = -6*i + 9*i + 5*f - 657. Calculate the remainder when i is divided by 67.
8
Suppose 2024 - 164 = 93*h. Calculate the remainder when 277 is divided by h.
17
Suppose 4*f + 33*n - 38*n - 67 = 0, 5*f + 4*n = 53. What is the remainder when 164 is divided by f?
8
Suppose 2*l + 4*p - 38 = 0, 38 = -0*l + 2*l + 2*p. Let r(u) = 34*u - 197. Calculate the remainder when l is divided by r(6).
5
What is the remainder when 233 is divided by (-7 - 91/(-14))*-120?
53
Let w(d) = 48*d**2 + 4*d - 3. Let q = 147 - 147. What is the remainder when w(2) is divided by 9 + 31 + (-2 - q) + 2?
37
Suppose 7*n - 2*n + 4*p = 754, 2 = 2*p. Let z = 20 - 84. Let a = n + z. What is the remainder when a is divided by 29?
28
Let x = -30 + -27. Let k = -43 - x. What is the remainder when 15 is divided by k?
1
Suppose 2*f = 5*d + 23, -3*f + 38 = -4*d + 14. Let i(l) = 33*l + 9. Suppose 5*n = 85 + 95. What is the remainder when i(f) is divided by n?
33
Let b(c) = -c**3 - 11*c**2 - 5*c - 4. Let j(r) = 7*r + 17. Let d be j(-4). Suppose -7*i - 126 = -16*i. Calculate the remainder when b(d) is divided by i.
9
Suppose -w - 2*w - 4*a + 2889 = 0, 4*w - 2*a = 3852. Suppose 0 = -3*y + 2*u + 751, w = 17*y - 13*y + 5*u. What is the remainder when y is divided by 36?
31
Let f(t) = -4*t**2 + 121*t - 568. What is the remainder when 933 is divided by f(21)?
97
Calculate the remainder when (1050/(-21) + 19)*(-2 - 51)*1 is divided by 86.
9
Suppose -8*j - d + 21733 = 0, 2*j - 1612 - 3810 = -4*d. What is the remainder when j is divided by 68?
65
Let a(z) = z**3 - 3*z**2 - 10*z - 48. Calculate the remainder when a(7) is divided by 68.
10
Suppose -156 = -4*g - 0*g. Suppose 213 = 9*x - g. Suppose 3*r + 31 = 2*o, r = o - 3*r - x. Calculate the remainder when 28 is divided by o.
4
Suppose 786 = 786*g - 655*g. What is the remainder when 368 is divided by g?
2
Suppose 0 = -2*g - 48 - 42. Let f = 38 - 26. Calculate the remainder when (-202)/(-6) + 30/g is divided by f.
9
Suppose 0 = -18*b + 6*b + 