 the remainder when f(5) is divided by b(38)?
8
Let u = 4 + 13. Let p(t) = 7460*t + 52228. What is the remainder when u is divided by p(-7)?
1
Suppose r = 36*r - 7490. What is the remainder when 845 is divided by r?
203
Let i be -39 + 35 - (1 - 7). Suppose -3*a + 20*m - 19*m + 213 = 0, 0 = -4*a + i*m + 284. Calculate the remainder when a is divided by 8.
7
Let i = 4422 - 4336. Calculate the remainder when i is divided by 35.
16
Let m(c) = -2*c**3 + 52*c**2 - 2*c - 244. Calculate the remainder when m(22) is divided by 78.
74
Let s(k) = -37*k + 5930. What is the remainder when 733 is divided by s(160)?
3
Suppose -1826*m = -1713*m - 20227. What is the remainder when m is divided by 86?
7
Suppose 2*d - 23*o = -19*o + 6944, -8*d = o - 27878. What is the remainder when d is divided by 42?
40
Let h(y) = -3*y**3 - 3*y**2 - 21*y - 149. What is the remainder when h(-6) is divided by 151?
64
Suppose -15*y = -32 + 2. Suppose 0 = -2*b - 4*w - 4, -3*w + 1 - 4 = 0. Suppose -y*h + b*h = -14. What is the remainder when 13 is divided by h?
6
Suppose 355*p - 69*p = 8580. Let v(h) = -17*h**3 - h**2. Calculate the remainder when p is divided by v(-1).
14
Suppose 0 = h - 5*b - 12, 2*h - 3*b = 5*h + 18. Calculate the remainder when 62 is divided by -3*(h*138/(-54))/(-1).
16
Suppose -5*l = -2*n - 610 - 475, 5*l + 2*n - 1065 = 0. What is the remainder when 837 is divided by l?
192
Suppose 4*i = v - 9, -4*i - 91 = -4*v + i. Let l(c) = c**2 + 24*c + 59. What is the remainder when l(-25) is divided by v?
26
Let l = -17 - -19. Suppose 0 = q - l*v - 15, -4*q - v - 2*v + 60 = 0. Calculate the remainder when q is divided by ((-3 - -1) + 3)*8.
7
Suppose -4282 - 2670 = -73*v + 29*v. What is the remainder when 539 is divided by v?
65
Let h(p) = -12*p + 113. Let q be h(12). Calculate the remainder when -1945*(q/105 - (-52)/546) is divided by 28.
25
Let f(b) = -13*b**3 - 2*b**2 + 10*b + 8. Suppose -6*l + 102 = -0*l. What is the remainder when f(-2) is divided by l?
16
Let z = -26 - -9. Calculate the remainder when 42 is divided by (2*3/(-2))/(z/51).
6
Let v = 2775 - 2766. Suppose 27 = 2*d + 2*h + 161, -5*h - 5 = 0. Let i = d - -109. Calculate the remainder when i is divided by v.
7
Suppose 2*u - 224 = -4*d, 0 = 3*u - 5*d - 322 + 8. Suppose 3*a - u = -m, 5*m - 3 = 4*m. Calculate the remainder when 3965/a + 2/(-7) is divided by 39.
35
Suppose -7*d + 70945 = 3*d + 15155. Calculate the remainder when d is divided by 93.
92
Let z be (-3)/(-5) - 14/(-10). Let g(b) = 2 - b**2 + 3*b - 14 + b**3 + 7. What is the remainder when 7 is divided by g(z)?
2
Let h(o) be the second derivative of o**3/3 - 25*o**2/2 + o. Let k be h(14). Suppose -49 + 7 = -k*q. Calculate the remainder when 53 is divided by q.
11
Let m(o) = 651*o + 3281. Let v(a) = 4*a**2 - 3*a - 4. Calculate the remainder when v(-4) is divided by m(-5).
20
Suppose -118*u = -330*u + 104299 + 15057. Calculate the remainder when 570 is divided by u.
7
Suppose -2*v = -c - 67, -185 = -5*v - 6*c + 5*c. Let m be (-28)/(-35) - 2*(-1964)/40. What is the remainder when m + (9 - 3 - 0) is divided by v?
33
Suppose -5*h = 27 - 187. Let u(p) = -p**3 - 12*p**2 - 14*p - 13. Let v be u(-11). Suppose -v = -2*w - 2*w. Calculate the remainder when h is divided by w.
2
Let i = -728 - -1025. Let y = i - 118. Suppose 0 = -g + 5*w + 62, 0*g - 3*w = 4*g - y. What is the remainder when g is divided by 12?
11
Let q(a) = 3*a**3 - 4*a**2 + 3*a - 12. Let z be (9 - 5 - 4) + 3. What is the remainder when 68 is divided by q(z)?
26
Let v = 7819 + -7770. Calculate the remainder when 3962 is divided by v.
42
Suppose 25*j - 1679 = 821. What is the remainder when 150 is divided by j?
50
Let g = 512 + -508. What is the remainder when g/(-14)*3171/(4 - 7) is divided by 51?
47
Let c = 136 - -11. Calculate the remainder when c is divided by (-4)/(-6) + (-109)/(-3).
36
What is the remainder when (-30)/27 + 111110/369 is divided by 70?
20
Let p(q) = 39*q - 1. Let l be p(3). Suppose j - l = -3*j. What is the remainder when -4 + (0 - 4) + (-738)/(-6) is divided by j?
28
Suppose -465 + 2637 = 259*h - 1713. What is the remainder when (-32)/(1*(-1)/4) is divided by h?
8
Suppose -2*c = -3*z + 61, 0*z = 4*c + 3*z + 77. Let h = 20 - c. Suppose 75*b = 87*b - 144. What is the remainder when h is divided by b?
7
Suppose -23*a - 33*a + 92*a - 40716 = 0. What is the remainder when a is divided by 69?
27
Let k = 60 + -57. Suppose 0 = -3*o - k, 4*x + 2 = 2*x + 2*o. Calculate the remainder when x/(-7) - (-6075)/175 is divided by 12.
11
Let g(n) = 4*n**2 + n - 15. Suppose -7*v = 200 - 676. What is the remainder when g(6) is divided by v?
67
Suppose 2*s = 3*s - 2. Suppose -5*t + 175 = s*t. Suppose -4*l + 37 = 1. What is the remainder when t is divided by l?
7
Suppose 5*w + n = 190, -15*n + 38 = w - 13*n. What is the remainder when 2315 is divided by w?
35
Let j = 329 - 226. Suppose -41 = -5*m - 16. Suppose j = m*s + 3. Calculate the remainder when s is divided by 11.
9
Suppose -512 = -8*c + 4*d, 408*d + 73 = c + 403*d. Suppose -2*t + 0*t = -46. What is the remainder when c is divided by t?
17
Let g(r) = -2*r**2 - 1 + 12*r**2 - 3*r**2 + 6*r. Calculate the remainder when g(-3) is divided by 26.
18
Let r = -1384 - -1983. What is the remainder when r is divided by 150?
149
Suppose -93*l + 16*l = -893 - 416. Calculate the remainder when (-10)/(-15) - (-493)/3 is divided by l.
12
Let b(o) = 4*o + 11. Let f be b(-2). Suppose -3*i - 9 = 3*n, n - 3*n + f*i = -4. What is the remainder when n*4*118/(-8) + -3 is divided by 20?
16
Suppose 198*t - 9557 - 2033 + 700 = 0. What is the remainder when 65 is divided by t?
10
Let o(n) = -432*n + 10. Let r be o(-1). Let l = r - 423. Calculate the remainder when 740 is divided by l.
18
Suppose -3*g - 7*h + 534 = -3*h, 6 = -2*h. Let p = g - 87. Suppose 8 = -4*t, -4*t + 16 = -n + p. Calculate the remainder when n is divided by 18.
17
Let l be (-3)/(-9) + 100/(-12). Let p be (-2)/(10/(-11)) + 7/(-35). What is the remainder when 17 is divided by ((-1)/(p/l))/1?
1
Suppose 28*u + 99*u - 148082 = 0. Calculate the remainder when u is divided by 34.
10
What is the remainder when (-37341)/(-99) - 32/176 is divided by 39?
26
Suppose 4*s - 28 = -0*s - 4*q, -q + 16 = 2*s. What is the remainder when 43 is divided by (1 - s)*(-2)/1?
11
Let h(o) = 4*o**2 + 430*o + 752. Calculate the remainder when h(-106) is divided by 20.
16
Let x be ((-31)/(-2))/((5/2)/(-5)). Let h = x - -32. What is the remainder when 6 is divided by h?
0
Let n(z) = -36*z - 106. Let j = -10 - -19. What is the remainder when n(-4) is divided by j?
2
Let m = -895 - -905. What is the remainder when 9 is divided by m - (-56)/(-24)*3?
0
Suppose -1143*f = -4*c - 1141*f + 1302, 2*c = -2*f + 642. What is the remainder when c is divided by 26?
12
Suppose -5*m - 4*u + 942 = 0, 3*m - 2*u - 410 = 142. Let o = m - 151. What is the remainder when 171 is divided by o?
31
Let t = 24 + -7. Suppose -301*c - 551*c = -93*c - 242121. Calculate the remainder when c is divided by t.
13
Let z be 2/(-3) - 1472/24. Let y = 82 + z. Calculate the remainder when 83 is divided by 56/3*15/y.
13
Suppose 20 = -2*m + 4*g, 6*g = m + 3*g + 9. What is the remainder when (-14)/(-56) - (-3)/m*-3035 is divided by 76?
75
Let g = 257 + -50. Calculate the remainder when g is divided by ((-4095)/(-10))/(-21)*2/(-3).
12
What is the remainder when (174/783)/((-4)/9)*(-2 - 100) is divided by 19?
13
Suppose 2*a = -s + 37, 0*s - 4*a = -s + 55. Let z(k) = k**3 - 103*k**2 - 114*k + 1199. What is the remainder when z(104) is divided by s?
30
Let n = 5 - -8. Let i(c) = -3*c**3 + 5*c**2 - 8*c + 6. Let o be i(4). Let k = o - -161. What is the remainder when k is divided by n?
10
Let i(r) = r**2 - 10*r + 8. Let z be i(8). Suppose 5*v = 5*w + 90, -4*v - w = 4 - 61. What is the remainder when (z/4)/(4/(-46)) is divided by v?
8
Suppose -35*t + 19*t + 592 = 21*t. Calculate the remainder when 3418 is divided by t.
10
Let p = -259 + 259. Suppose 7 = 4*y - 3*y. Suppose 2*f - y + 3 = p. What is the remainder when 4 is divided by f?
0
Suppose 111*s + 3403 - 13661 = -112*s. Calculate the remainder when s is divided by 35.
11
Let y be 546/30 - 1/5. Let z = y - 5. Let t(k) = 112*k - 329. What is the remainder when z is divided by t(3)?
6
Suppose 6*p = 68 + 22. Suppose 5*q = 