
13
Suppose -2*t - 4*z = -4, 0*t - 5*z + 8 = 2*t. Let g(j) = -4*j + 9. Let o be g(t). Calculate the remainder when 6/33 + 522/o is divided by 6.
4
Suppose 0 = 5*w - 4*w - 20. Suppose w = n + 2*h - 19, 4*n - 4*h - 156 = 0. Suppose 2*i = l - 6 - 9, 10 = -5*i. Calculate the remainder when n is divided by l.
6
Suppose 97*o - 5*o = 5520. Let k = 72 - 41. What is the remainder when o is divided by k?
29
Let t(z) be the first derivative of -z**4/4 - 7*z**3/3 - z**2 + 6*z - 12. What is the remainder when 57 is divided by t(-7)?
17
Suppose -44*l + 41*l = -114. Suppose -926 + 6 = -4*f. What is the remainder when l is divided by f/18 - (-4)/18?
12
Suppose 0 = -3*k - 2*k + 35. Let w be 0 + -4 + 1/1. Calculate the remainder when w/(1 - 176/164) is divided by k.
6
Let m = -18 + 40. Suppose 45 = -1263*q + 1265*q - 5*w, -3*w = -21. Calculate the remainder when q is divided by m.
18
What is the remainder when 40 is divided by (-1 - 2 - -2)*165/(-11)?
10
Suppose -190 = -5*f + 70. What is the remainder when 141 is divided by 8/((f/24)/13)?
45
Let s(j) be the third derivative of -5*j**4/4 + j**2. Suppose -19*o + 5 = -24*o. What is the remainder when 59 is divided by s(o)?
29
Suppose -n + 2 - 3 = b, 0 = -3*b + n + 1. Suppose -14*w + 2*w + 936 = 0. What is the remainder when w is divided by (1 - b) + (-26)/(-1)?
24
Let q be 1 - (0/3 - -3). Let z(p) = -3*p**3 - 2*p**2 + 3*p + 2. Let o be z(q). Let f = 24 - o. Calculate the remainder when 46 is divided by f.
10
Let m = 9 - 1. Let f(x) = -m + 0*x + 4*x - 3*x + x. What is the remainder when 15 is divided by f(8)?
7
Let t(h) = -34*h + 175. What is the remainder when 124 is divided by t(4)?
7
Suppose 9*g - 109 = 305. What is the remainder when g is divided by 10?
6
Suppose 287 = 13*m + 53. What is the remainder when 158 is divided by m?
14
Calculate the remainder when 217 is divided by (14/(-6) + 2)/((-10)/3270).
108
Let f(k) = -k**2 - 14*k + 22. Let p be f(-15). Suppose -p*z = -3*z - 12. Let u(b) = 2*b - 4. Calculate the remainder when z is divided by u(3).
1
Let j = 1 + 15. Suppose -44 - j = -5*y. Calculate the remainder when 29 is divided by y.
5
What is the remainder when (-52*(-14)/20)/(56/140) is divided by 31?
29
Let m = -9 + 14. What is the remainder when 2 + 218 + -2 + m is divided by 45?
43
Suppose -5*d = -2*c - 41, 3*d + 4*c + 5 = 14. Let f be -10 - (9 - -3)/(-3). Let w(l) = l**2 + 6*l + 19. What is the remainder when w(f) is divided by d?
5
Let j = -66 + 44. Let y = -6 - j. Suppose -3*u = 4*x - 106, 5*u = 3*u + 3*x + 48. What is the remainder when u is divided by y?
14
Suppose 60*s - 13845 = 12015. Calculate the remainder when s is divided by 42.
11
Let w = -193 - -220. Calculate the remainder when 102 is divided by w.
21
Suppose q - 17 = -2*i - 3*i, i + 2*q + 2 = 0. Suppose 3*r - 86 = -i*h, 5*r + 0*h = 2*h + 100. What is the remainder when r is divided by 12?
10
Let x = 201 + -114. What is the remainder when x is divided by 13?
9
Let j be (0 + 2)/(2/39). Calculate the remainder when -1 + -1 + -2 + j is divided by 12.
11
What is the remainder when ((-16)/6)/((-10)/15)*3 is divided by 8?
4
Suppose 2507 + 863 = 10*f. What is the remainder when f is divided by 69?
61
Calculate the remainder when 24 + (1 + -3 - 0) is divided by (1/2)/(20/(-520))*-1.
9
Let c = -220 + 232. Suppose c*f + 30 = 13*f. Let h = -19 + 30. Calculate the remainder when f is divided by h.
8
What is the remainder when 0 + -1 + (105 - 1) is divided by 8 + -2 - (0 - 6 - 40)?
51
Suppose -9*x + 2236 = 43*x. What is the remainder when x is divided by 5?
3
Calculate the remainder when 162 is divided by 55/(-15) - (-583)/33.
8
Let b = -1225 - -1295. Calculate the remainder when b is divided by 37.
33
Let p(l) = 2*l**3 + 2*l**2 + 1. Let j(w) = w**2 + 10*w + 2. Let a be j(-10). Calculate the remainder when p(a) is divided by 14.
11
Let d = 48 - 45. What is the remainder when 88 is divided by (732/8)/d + 2/(-4)?
28
Let c(o) = o**2 + 2*o - 19. Let z(p) = -p**3 - 9*p**2 + 9*p - 14. Let u be z(-10). Calculate the remainder when c(6) is divided by (-63)/u + 9/(-12).
14
Let p = -2 + 8. Let c = 7 + -2. Suppose 3*j - 63 = -c*n + 79, 0 = -2*n + 2*j + 60. What is the remainder when n is divided by p?
5
Suppose -5*v + 7 = -118. Suppose j - v + 3 = 4*b, -8 = 2*b + j. Calculate the remainder when (-8)/b*(-75)/(-30) is divided by 2.
0
Let f(c) = -c**3 + 6*c**2 - 3*c - 5. Let i be f(5). Let p(z) = -z**2 + 4*z + 7. Let n be p(i). What is the remainder when (n/(-3))/((-12)/414) is divided by 8?
7
Let q(v) = -v**3 - 22*v**2 - 23*v - 22. Let l be q(-21). Let o = l + 19. What is the remainder when o is divided by 20?
19
Let o be (-1 + 2/3)*-15. Suppose -3*c + 9 = 3*j, -3*c + 0*c + 19 = o*j. Calculate the remainder when j is divided by 4.
1
Let v be 4/(12/9)*1. Suppose -c - 4*c - r + 284 = 0, v*c - 3*r - 174 = 0. Calculate the remainder when c is divided by 15.
12
Let y(f) = -3*f - 57. What is the remainder when 116 is divided by y(-23)?
8
Let m be -3*2*2/(-12)*2. Suppose -2*n - i + 16 = -4*i, 2*n - 16 = -m*i. What is the remainder when n is divided by 3?
2
Calculate the remainder when 103 is divided by ((-2)/(-6))/((-9)/(-378)).
5
Suppose y - 5*b = -2*y + 5, -17 = -3*y - b. Let f(g) = -g**3 + 6*g**2 - 5*g + 4. Calculate the remainder when 22 is divided by f(y).
2
Suppose 29*d - 816 = 5*d. Calculate the remainder when 135 is divided by d.
33
Suppose 0 = 6*v - 78 - 48. Suppose -26 = -v*a + 37. What is the remainder when 17 is divided by a?
2
Let p(o) = 21*o**3 - o**2 + 2*o. Let w be p(1). Suppose w*v - 24*v + 14 = 0. Let b = 24 - 13. What is the remainder when b is divided by v?
4
Let t be (-3 + 8 + -4)/(2/38). Let d = 41 + -17. Let p = t + d. Calculate the remainder when p is divided by 15.
13
Let i(q) be the third derivative of -q**6/120 - 19*q**5/60 - 7*q**4/8 + 5*q**3 - 23*q**2. What is the remainder when i(-18) is divided by 29?
26
Suppose -3*l = -4*z + 376, 4*z - 237 = -5*l + 139. What is the remainder when 130 is divided by z?
36
Let o(r) = -r**3 + 2*r**2 + r. Let c be o(2). Suppose -2*l + 5*k + 151 + 54 = 0, 0 = -c*k - 2. Let x = l - 37. Calculate the remainder when x is divided by 22.
19
Let t(u) = 42*u - 37. Calculate the remainder when t(4) is divided by 6.
5
Let i be 1/((-3)/6) - -21. Suppose 4*v - i = 13. Suppose 0 = v*c - 7*c - 15. Calculate the remainder when 44 is divided by c.
14
Suppose 3*f + 0*f = 6. Suppose 0 = -n + 6 - f. Suppose -22 = -n*g + 3*g. Calculate the remainder when 63 is divided by g.
19
Let g = -5264 + 5268. Suppose 2*r + 8 + 4 = -4*a, 0 = -5*r - 5*a - 10. Suppose 0 = -r*b + 4*b - 30. What is the remainder when b is divided by g?
3
Suppose -247 = -16*d - 7. Suppose 3*c + 5*b + 75 - 247 = 0, 2*c - 121 = 3*b. Calculate the remainder when c is divided by d.
14
Let y(r) = -r**2 + 8*r - 2. Let d(v) = -3 + 4 - 3*v - v**3 - 1 + 7*v**2. What is the remainder when d(3) is divided by y(6)?
7
Let s = -2424 + 2553. Calculate the remainder when 1805 is divided by s.
128
Let p(n) = 29*n - 148. Calculate the remainder when 418 is divided by p(8).
82
Let z(u) = 5*u**2. Suppose -2*d + 3*d - 1 = 0. What is the remainder when z(d) is divided by ((-3)/6)/((85/30)/(-17))?
2
Suppose -9*t = -179 + 107. Calculate the remainder when 63 is divided by t.
7
Suppose 156 = 5*k - 3*x, 3*k + 2*k = 4*x + 158. What is the remainder when 116 is divided by k?
26
Calculate the remainder when 1 + 2 + 131 - (9 - 4) is divided by 65.
64
What is the remainder when 0/(-49) - (-87 + 0 + 3) is divided by 43?
41
Let p be 16/(-2 + (5 - 1)). What is the remainder when 2 + -1 - (-124 - p) is divided by 28?
21
Suppose -27*t + 383 = -26*t. What is the remainder when t is divided by 35?
33
Let l(o) = -4*o + 1. Let u = -18 - -13. Calculate the remainder when 62 is divided by l(u).
20
Let f be 12/4*(27 - 0). Let o = f - 53. Calculate the remainder when 29 is divided by o/3 + 10/15.
9
Suppose -3*f - 15 = 0, 5*r - 79 - 126 = -4*f. What is the remainder when 257 is divided by r?
32
Calculate the remainder when 1029/8 - 108/(-288) is divided by 73.
56
Let z(l) = l**2 + 36*l - 478. Suppose -c - 4*c + 165 = 0. Calculate the remainder when z(12) is divided by c.
32
Suppose 2*w = -15 + 3. Let k(b) = -5*b - 14. Suppose -13 - 47 = -2*l. Calculate the remainder when l is divided by k(w).
14
Suppose