culate the remainder when f(74) is divided by 8.
3
Let i(q) = -q**3 + q**2 + 33*q + 96. What is the remainder when 13111 is divided by i(-4)?
43
Let v(q) = q**3 + 8*q**2 - 9*q + 11. Let c be v(-9). What is the remainder when 21 is divided by c + 2*5/(-10)*0?
10
Suppose -2*g = -26 - 46. Let z(y) = -4*y + 126. Let i be z(33). Let h(k) = -k**2 - 10*k - 10. Calculate the remainder when g is divided by h(i).
8
Let n(o) = o**2 - 115*o - 343. Let a = 71 + -99. Let i = -10 - a. What is the remainder when i is divided by n(-3)?
7
What is the remainder when (-120)/45 - -3 - 3138/(-9) is divided by 8?
5
Let m(o) = 9*o**2 + 243*o - 2026. Calculate the remainder when m(8) is divided by 87.
59
Let o = 14 + -2. Suppose 3*a - 46 = 4*d, -6*a + 4*d = -5*a - 26. Suppose a*r = 13*r - o. Calculate the remainder when 12 is divided by r.
0
Suppose -z + 60 = 9*p - 6*p, -5*z - 3*p = -372. What is the remainder when 4444 is divided by z?
76
Let q(w) = -12*w - 31 - 23 + 11. Let l be 2 - 6 - (1 + 0). Calculate the remainder when 134 is divided by q(l).
15
Calculate the remainder when 4384 is divided by (481/39)/(-1*(3 - 1596/531)).
18
Suppose 36*h = 40*h - 7832. Let y be (-21)/56 - h/(-16). Let w = y + -83. Calculate the remainder when w is divided by 10.
9
Suppose 4*d = 12, -5*h + 3*d + 121 = -65. What is the remainder when ((1728/(-28))/8)/((-15)/140) is divided by h?
33
Suppose 24*c + c = -24*c. Suppose c = -991*w + 983*w + 1248. What is the remainder when w is divided by 44?
24
Let s(q) = 217*q - 3290. What is the remainder when s(36) is divided by 1506?
4
Suppose 728 = 4*y + 2*d + 696, 2*y - 4*d + 24 = 0. Let u(j) = -13*j + 2. Calculate the remainder when u(-3) is divided by y.
1
Let w(i) = i**3 - i**2 + 6*i - 4. Suppose 8*t - 6*t = 50. Suppose -30 = t*m - 28*m. What is the remainder when w(3) is divided by m?
2
Suppose -2*q - 60 = -22*q. Let z be 0 - 1/((-3)/9). Suppose 0 = -i + z*i - 22. Calculate the remainder when i is divided by q.
2
Suppose -45*m - 1993 = -48*m + r, 5*r + 3335 = 5*m. Calculate the remainder when 1352 is divided by m.
26
Let h(b) = 5*b**2 - 549*b - 145. Calculate the remainder when h(111) is divided by 37.
3
Suppose 2324 = 58*d - 4114. Calculate the remainder when 342 is divided by d.
9
Calculate the remainder when 235426/318 + 2/3 is divided by 368.
5
Let w(l) = l**3 - 7*l**2 + 7*l - 79. Let t = -314 - -322. Calculate the remainder when 367 is divided by w(t).
39
Let r(d) = -5*d**3 + 4*d**2 + 2*d - 1. Let x be r(-1). Suppose -481 + 181 = -x*q. What is the remainder when q is divided by 30?
20
Let d(o) = 2*o**2 + 2 + 3 + 8*o - 2. Suppose -3660 + 1350 = 6*q - 36*q. What is the remainder when q is divided by d(-5)?
12
Suppose 0 = -3*q + 12, 4*p - 12*q + 16*q = 10364. Calculate the remainder when p is divided by 81.
76
Let w(s) = -4*s - 33. Let i be w(0). Let v = -7 - i. What is the remainder when 36 is divided by v?
10
Let h(g) = -g**3 - 4*g**2 - 26*g - 99. What is the remainder when h(-10) is divided by 7?
5
Suppose -i = 2*q - 9, 5*q + 16*i - 40 = 17*i. Calculate the remainder when 2064 is divided by q.
6
Let x(o) = 2*o - 47 - 35 + 2*o + 4. Calculate the remainder when x(27) is divided by 17.
13
Suppose -n + 133 = 4*l, -103 + 700 = 5*n + 3*l. Let p(f) = 15*f + 16. Let x be p(4). Suppose 5*y - x = 44. What is the remainder when n is divided by y?
21
Suppose -824*v - 100 = -829*v. What is the remainder when ((-305)/v + -6)*-4 is divided by 48?
37
Let i(r) = -r**3 - 14 - 5*r + 2 + 0*r**3 - 5*r**2. Let a be i(-5). Suppose -a + 109 = 6*l. Calculate the remainder when 59 is divided by l.
11
Let j be (-915)/(-7) + (-10)/105*-3. Let i = -52 + j. Suppose -200 = -3*n - 2*n. What is the remainder when i is divided by n?
39
Suppose 2*a + 4 = -4*f + 8, a = -f. Suppose f*z - 4*h + 7*h = 33, 0 = 3*z + h - 39. Let p(k) = 2*k - 11. Calculate the remainder when 37 is divided by p(z).
11
Suppose 181*c = 176*c + 10. Suppose 22 = u - 2*q, -u - 3*u + 78 = c*q. Calculate the remainder when 49 is divided by u.
9
Let w be ((-3)/(-6))/((-15)/18)*5. What is the remainder when 305 is divided by 9/w*(-110)/15?
19
Let i = 8011 + -6015. Calculate the remainder when i is divided by 285.
1
Suppose 55*x = -0*x - 26*x + 1458. What is the remainder when 1059 is divided by x?
15
Let t(d) = 2*d**3 - 24*d**2 - 74*d - 30. Calculate the remainder when t(15) is divided by 53.
51
Let b(z) = 105*z**2 - 2. Let s be b(-1). Let u = s - 94. Suppose 63 = 2*n + 5*i, -7*n + u*n = -i + 51. What is the remainder when n is divided by 13?
11
Let z be 3 + (-1)/(2/(-30)). Let n = z + 11. Suppose m = -3*x + 16, 5*x - 2*x + 8 = 5*m. What is the remainder when n is divided by x?
1
Let m(n) = -135 + n**3 + 129 + 2*n - 16*n + 8*n**2. Let k(z) = -z - 3. Let s be k(6). What is the remainder when 154 is divided by m(s)?
37
Let b = -296 - -343. What is the remainder when b + 0 - (-2)/5*10 is divided by 45?
6
Let g(k) = -57*k**3 - 1308*k**2 + 67*k - 32. Suppose 2*r - 3*r = -35. What is the remainder when r is divided by g(-23)?
7
Calculate the remainder when ((3808/(-20))/1)/((-25)/1500) is divided by 13.
10
Let m be (-2)/(-9) + ((-372)/(-27) - 4). Calculate the remainder when (m/30)/((-3)/(-225)) is divided by 2/(-6)*11*-3.
3
Let k = 26 + -34. Let h = 156 - 122. What is the remainder when 1418/14 - (k/(-28) - 0) is divided by h?
33
Let i(u) be the third derivative of u**5/10 + 2*u**4/3 + u**3/3 - 2*u**2 + 10. What is the remainder when 135 is divided by i(-4)?
33
Let z = 96 - -231. Let d = 381537 + -381482. Calculate the remainder when z is divided by d.
52
Suppose -3*m = -o - 3*o + 202, -4*m = 5*o - 268. Suppose -5*h = -o - 123. What is the remainder when h is divided by 19/(3/(-10 + 13))?
16
Suppose 0 = 131*q + 9*q - 789726 - 204554. What is the remainder when q is divided by 192?
190
Let f = -135 + 65. Let n = -127 - f. Let h = -42 - n. Calculate the remainder when h is divided by 11.
4
Suppose 3*x + 2*c = 39, -6*x + 10*x + c - 52 = 0. Suppose 5*d + x - 23 = 0. Calculate the remainder when d is divided by 1.
0
Suppose w - 5*w + 2*f = -12, 4*w + 12 = -4*f. What is the remainder when 192 is divided by (-9)/18*(w + -30 + 1)?
10
Suppose -63*y + 65*y - 2 = 0, -2*t + 1169 = -3*y. What is the remainder when t is divided by 120?
106
Suppose 52 = b + 2*f, -18*b + 21*b - 4*f = 126. What is the remainder when b is divided by 9?
1
Let w = -36 - -28. Let d(t) = 3*t - 8. Let n be d(w). What is the remainder when -1*(102/8)/(4/n) is divided by 26?
24
Let y = -181 + 184. Suppose 0 = 4*v + y*q - 53, -4*q - 15 - 90 = -5*v. What is the remainder when v is divided by 12?
5
Suppose 364 = 24*k - 236. What is the remainder when 1118 is divided by k?
18
Let s = -61 - -70. Suppose -a - 4 + 10 = f, 0 = a + 4*f + s. Let u = 32 - 14. Calculate the remainder when u is divided by a.
7
Suppose -33861 = -192*v + 22*v - 2751. Calculate the remainder when 1255 is divided by v.
157
Suppose -5*j + 803 = -3*y, 12 = -j + 4*j. What is the remainder when 337 is divided by (-19 - -17)/(6/y)?
76
Let c(y) = -8*y + 1. Let b = 798 + -289. Suppose 3*l - d = b, -37*l + 32*l = 2*d - 841. What is the remainder when l is divided by c(-2)?
16
Let f = -1 + 1. Suppose -3885 - 2772 = -64*r - 769. What is the remainder when r is divided by (f - 1) + (26 - 1)?
20
Let h = -15411 - -15547. What is the remainder when 274 is divided by h?
2
Let d(u) = -535*u + 228. Let j be d(-11). Suppose 12*h = -665 + j. What is the remainder when h is divided by 57?
55
Let c = 4490 + -4296. What is the remainder when c is divided by 89?
16
Let y = -40 - -76. Suppose -3*h + y = -36. Let s = h - 5. Calculate the remainder when 35 is divided by s.
16
Suppose 5*p - 47 = -3*a - 4, 5*p - 5*a = 35. Let g = 10 - p. Suppose -10 = -g*v, q - 73 = -3*q - 5*v. Calculate the remainder when 70 is divided by q.
10
Let o be -2 - ((1 - 0) + -5). Let l(z) = -10 - 3 + 6*z**o + 12 + 2*z**2 - z**3. What is the remainder when l(6) is divided by 8?
7
Let k(i) = 4*i - 6. Let z be k(7). Let q = 5 + z. Let w(o) = o + 10. Calculate the remainder when q is divided by w(0).
7
Calculate the remainder when (-482)/(-4) - 2 - 9/(-6) is divided by 31.
27
Suppose -9*l - 48 = 6. Let b(i) = -13 - 2*i**3 - 9*i**2 - 2*i + i**3 + 2*i**2 - 7*i. What is the remainder when 20 is divided by b(l)?
0
Let s = -2800 - -281