 -90*z**2 + 55. Let h(u) = 6*b(u) - 55*v(u). What is the remainder when 48 is divided by h(n)?
8
Let v(o) = 16*o + 10. Let m be v(-1). What is the remainder when (512/(-20))/(m/30) is divided by 34?
26
Let y(x) = -x - 3. Let q be y(-7). Suppose u = 32 - q. What is the remainder when 83 is divided by u?
27
What is the remainder when 388 is divided by 444/6 + 1*(5 + -1)?
76
Let p = 77 - 35. Let q = p + -33. Let b(r) = 25*r**2 - 1. What is the remainder when b(-1) is divided by q?
6
Let y(x) = x**2 + 14*x - 523. Calculate the remainder when 238 is divided by y(-31).
2
Let h(c) = 6*c**3 + 2*c**2 - 2*c + 2. Calculate the remainder when h(2) is divided by -6*6/(1008/(-4)) + 48/7.
5
Let g = -75 - -88. What is the remainder when 87 is divided by g?
9
Let z = -399 - -448. What is the remainder when 150 is divided by z?
3
Let j = 329 + -321. Calculate the remainder when 19 is divided by j.
3
Let l(t) = 5*t - 3. Let m be l(11). Let y = m - 45. Calculate the remainder when y is divided by 2/(-4)*(-10 - 0).
2
Suppose -3*k - p + 699 = 0, 2*k + 2*p = -p + 466. What is the remainder when k is divided by 61?
50
Suppose 0 = -r - 4*r + 25. Suppose 4*b - r*b = 0. Suppose -60 = -b*m - 5*m. What is the remainder when 21 is divided by m?
9
Let g = 834 - 20. What is the remainder when g is divided by 68?
66
What is the remainder when 174 is divided by (-5)/((-75)/1368) - (-24)/(-20)?
84
Suppose t - 92 = -7*y + 4*y, -5*y - 129 = -2*t. Let x(g) = -g**3 - 19*g**2 - 38*g - 28. Calculate the remainder when t is divided by x(-17).
37
Let g = 334 + -319. What is the remainder when 133 is divided by g?
13
Let n(q) be the second derivative of -3*q + 0 + 1/3*q**3 + 7/2*q**2. What is the remainder when 83 is divided by n(7)?
20
Let g = 6 + -10. Let z(l) = -9*l**3 + l**2 - l - 1. What is the remainder when 30 - (-1)/(3 + g) is divided by z(-1)?
9
What is the remainder when (40/(-6))/((-8)/36) is divided by 14?
2
Suppose -2*z + 4*z - 68 = 0. Let t = -17 + z. Calculate the remainder when 1/2 + (-99)/(-2) is divided by t.
16
Let z(r) be the third derivative of -5*r**4/24 + 14*r**3/3 + 8*r**2. Let m = -3 + 13. What is the remainder when z(0) is divided by m?
8
Suppose -4*r + 19 = -37. Calculate the remainder when 179 is divided by r.
11
Suppose -3050 = -3*l - 2*l. Suppose 0*w - 5*w + l = 0. Suppose -310 = h - 11*h. Calculate the remainder when w is divided by h.
29
Let v(i) = -i**3 + 11*i**2 + 13*i - 8. Let m be v(12). Suppose g - m*g + 153 = 0. Suppose b = 4*b - g. What is the remainder when 50 is divided by b?
16
Let r be (4 + 0)/(2/(-12)). Let n = -25 - r. Calculate the remainder when (n + 4 + 0)*5 is divided by 9.
6
Let l = -15 - -19. Suppose 15 = b - 4*i, -2*b = -3*i + 2*i - 9. What is the remainder when l is divided by b?
1
Suppose -d + 4*d + k - 23 = 0, 4*d - 32 = -2*k. Let q be (-114)/24 - 2/8. Let a = d + q. Calculate the remainder when 6 is divided by a.
0
Suppose 7*a - 16048 = -15026. Let j(i) = -i**2 + i + 49. Calculate the remainder when a is divided by j(0).
48
Suppose 10*l = 9*l - 3, 12 = 3*g - 2*l. Suppose -g*z + 65 - 27 = 0. Calculate the remainder when 54 is divided by z.
16
Let k(b) be the first derivative of -b**4/4 + 19*b**3/3 + 21*b**2/2 + 27*b + 15. Calculate the remainder when k(20) is divided by 25.
22
Suppose -3*n = -3*i + 417, 3*i - 3*n - 419 = 2*n. What is the remainder when i is divided by 35?
33
Suppose -2*q + 11 + 1 = 0. Let c(i) = i**3 - 6*i**2 + i - 1. Let g be c(q). Suppose g*j + 30 = 120. What is the remainder when 33 is divided by j?
15
Let a(q) = -q**3 + 12*q**2 + 8*q - 28. Let z be a(11). Suppose 46 - z = -9*i. What is the remainder when 58 is divided by i?
13
Let k(z) = -z**2 + 16*z + 2. Let m be k(9). Calculate the remainder when (-8 - (-8 - -3)) + m is divided by 9.
8
Suppose 5*f = -y + 103, -368*y + 363*y = 5*f - 95. Suppose -g = -0*g + 5*l + 11, 0 = 4*g - 3*l - 25. Calculate the remainder when f is divided by g.
1
Suppose -4*m - 152 = -12. Let n be (-6)/(-21) + (-60)/m. Suppose 38 = n*f - 46. What is the remainder when f is divided by 22?
20
What is the remainder when (2/(-4))/(14/(-868)) is divided by 21?
10
Let t(u) = 11*u + 4. What is the remainder when 58 is divided by t(1)?
13
Suppose -7*k + 206 = -235. What is the remainder when 236 is divided by k?
47
Let t = 9 + 31. Calculate the remainder when t is divided by (3/(-15))/(8/(-417 - 23)).
7
Let f = -30 - -154. Calculate the remainder when f is divided by 32.
28
Let h be (-4)/8 - 18/(-4). Suppose 32 - 8 = -h*i. Let m = 1 - i. Calculate the remainder when 15 is divided by m.
1
Suppose 2*d + b + 24 = -0*b, -3*d + 4*b - 47 = 0. Let a(i) = i**2 + 9*i - 17. Let p = -12 - -21. What is the remainder when a(d) is divided by p?
8
Suppose -74 - 266 = -4*w - 4*s, -2*w - 3*s = -174. What is the remainder when w is divided by 14?
11
Let o be (-180)/(-21)*(-70)/(-4). Suppose 10*v = o - 20. Calculate the remainder when 25 is divided by v.
12
Let q(s) = -s**2 - 5*s - 6. Let z(t) = -2*t**2 - 6*t - 5. Let j(b) = 3*q(b) - 2*z(b). Let v = 9 - 4. Calculate the remainder when 7 is divided by j(v).
1
Let m(t) = -t**3 + 7*t**2 - 8*t + 7. What is the remainder when (-5)/(-25)*(-6 + 251) is divided by m(5)?
15
Let u be -6*1/(-8)*-4. Suppose -2*d + i - 20 = -7*d, -3*d = -3*i - 30. Let r = d + u. Calculate the remainder when 7 is divided by r.
1
Suppose 3*j - 293 = 10. Let k = 62 + -28. Calculate the remainder when j is divided by k.
33
Let p = -164 + 177. What is the remainder when 283 is divided by p?
10
Suppose -180 = 60*v - 65*v. Calculate the remainder when 81 is divided by ((-12)/v)/((-2)/72).
9
Let b = -65 + 50. Calculate the remainder when 54 - (5/b)/(2/12) is divided by 10.
6
Suppose 8*q - 3*q + 119 = 3*m, 134 = 3*m - 2*q. Calculate the remainder when 813 is divided by m.
45
Let v be 0/((-2)/(-1) - (13 - 12)). Suppose -3*m + v*m = -5*r - 278, -3*r - 3 = 0. What is the remainder when m is divided by 23?
22
Let w = -23 + 28. Let y be w/(-20) + (-242)/(-8). Let v = 43 - y. What is the remainder when 48 is divided by v?
9
Let c(w) = w**3 + 7*w**2 - 4*w - 12. Suppose 2*l + 2*l = -3*r - 5, 5*l + 5*r = 0. Calculate the remainder when c(l) is divided by (-137)/(-9) - (-4)/(-18).
13
What is the remainder when 23 is divided by -5 - 1/(81/42 + -2)?
5
Calculate the remainder when 25 is divided by 25/2*132/165.
5
Let t = 79 + -105. Let j = t + 49. Calculate the remainder when 158 is divided by j.
20
Let m(n) = 4*n + 23. Let t be m(-5). Suppose 7*l + 5*g = t*l + 33, 0 = 2*l - 2*g - 30. Let a = 105 + -71. What is the remainder when a is divided by l?
10
Let j(i) = -70*i - 27. What is the remainder when 121 is divided by j(-1)?
35
Let b(g) = -g**3 + 27 + g - 270*g**2 + 271*g**2 + 86. Calculate the remainder when b(0) is divided by 38.
37
Suppose 4*w + 5 = -3*v - 2, -5*w = 2*v. Suppose -2*x = w*x - 68. Suppose -d + 7 = -u, 49 = 3*d + 2*u + 18. Calculate the remainder when x is divided by d.
8
Let n = 163 - 96. Calculate the remainder when n is divided by 17/(4 + 15/(-5) + 0).
16
Let f(g) = 5*g**2 - 8*g - 27. Calculate the remainder when 461 is divided by f(-3).
41
Let n(p) = p**2 + p + 2. Suppose -a = 3*a + 4*k - 24, -26 = -4*a - 5*k. Calculate the remainder when n(2) is divided by a.
0
Let x be (0/5)/(0 + -2). Suppose 94 = 4*p - 2*q, -4*p - 3*q = -x*q - 89. What is the remainder when 60 is divided by p?
14
Let j(z) = -z**2 + 11*z - 10. Let k be (7/2)/(2*6/216). Suppose -k = -i - 11. Calculate the remainder when i is divided by j(7).
16
Let q be ((-110)/3)/((-2)/12). Let g = -132 + q. Calculate the remainder when g is divided by 18.
16
Let w(n) be the third derivative of n**4/24 + 2*n**3 - 2*n**2. Suppose 0 = 12*i - 13*i + 41. Calculate the remainder when i is divided by w(9).
20
Suppose 0*d + d = 5*s - 50, 0 = 2*s - 4*d - 20. Let i be 8/5 + (-2)/(-5). Let x(k) = 4*k**2 + k + 1. What is the remainder when x(i) is divided by s?
9
Suppose 2*w - 3*o - 3151 = 0, 3143 = 14*w - 12*w + 5*o. Calculate the remainder when w is divided by 19.
16
Suppose -251 - 50 = -7*x. What is the remainder when 2192 is divided by x?
42
Calculate the remainder when (33 - (-1 - -1))*(-408)/(-153) is divided by 15.
13
Calculate the remainder when 754 is divided by ((-1668)/15)/(-4) + (-140)/175.
25
Let t(d) = -d**2 + 10*d - 1. What is the rema