e -6*k - 5 = d. What is the remainder when 52 is divided by (15 - 6) + 0/(k - -2)?
7
Suppose 3508 + 10377 - 721 = 6*i. Calculate the remainder when i is divided by 6.
4
Suppose 2*c = 7*c - 10. Let j(y) = 138*y - 15. What is the remainder when j(c) is divided by 66?
63
Let h = -6 - -31. Suppose -219 = -4*a + 3*f, -f - 4*f - h = 0. Suppose 69 - 15 = 3*l. Calculate the remainder when a is divided by l.
15
Let z(w) = 4*w**2 + 143*w + 375. Let o be (3/1 - 1)*2. Let u(l) = -l + 8. What is the remainder when z(-33) is divided by u(o)?
0
Let s = 200893 + -200877. What is the remainder when (-187)/(-2) - 2/4 is divided by s?
13
Let r(h) = -229 + 233 + 2*h - h. Let q = -52 - -101. Calculate the remainder when q is divided by r(6).
9
Suppose 11*r - 15 = 29. Suppose -12 = -2*t - r*v, -t + v + 15 = -0*t. Let o(c) = -c**2 + 16*c - 11. Calculate the remainder when 144 is divided by o(t).
33
Let t(v) = 62*v + 162. What is the remainder when t(3) is divided by (5/(-10))/(6/4)*-21?
5
Let x = -1823 + 1862. Suppose 0 - 2 = -q. Suppose -3*w - y = -35, 4*w - 4*y = 18 + q. Calculate the remainder when x is divided by w.
9
Suppose 723 = 6*d + 663. Let u(v) = -v**2 - 19*v + 68. What is the remainder when u(-15) is divided by d?
8
Suppose 5*f + 48 = 178. Let s be ((-55)/33)/(1/(-3)). Suppose -3*v = -s*v + 22. What is the remainder when f is divided by v?
4
Let y be (-448)/(-3)*(13 + -7). Suppose -5*q = -2*x - 1486, 4*q = q - x + y. What is the remainder when q is divided by 12?
10
What is the remainder when 329 is divided by (2 - -12)*(-1704)/(-497)?
41
Let f = -103 - -106. Suppose -s = f*l - 650, 7*l = 6*l - 2*s + 225. Calculate the remainder when l is divided by 24.
23
Let z be 12/10*(418/4 + -2). Let r = z - 1. What is the remainder when r is divided by 31?
29
Suppose 0 = 16*g + 28*g - 164250 - 16810. What is the remainder when g is divided by 49?
48
Let h = -146 - -99. Let r = 53 + h. Let b = 35 + r. Calculate the remainder when 160 is divided by b.
37
Let g(f) = -59*f**3 + 2*f**2 + 4*f + 1. Calculate the remainder when 160 is divided by g(-1).
44
Let o(y) = y**2 + 2*y - 3. Suppose 87*c - 88*c = 5, -n = 2*c - 8. Calculate the remainder when n is divided by o(-4).
3
Suppose 0 = 2*i + 1 - 23. Calculate the remainder when 5/95 + 8558/209 is divided by i.
8
Suppose 2*q - q - 11 = 0. Let p = 127 - 124. Suppose -p*u + 1 = -32. Calculate the remainder when u is divided by q.
0
Let b = -6319 + 18366. Calculate the remainder when b is divided by 12.
11
Suppose -4*s + 41 + 55 = 0. Suppose 26 - s = -2*d. What is the remainder when 4 - 1 - d/(1/52) is divided by 19?
17
Suppose -5*f = 5*n - 0*f - 170, f - 96 = -3*n. Calculate the remainder when (222/(-7))/((-46)/161) is divided by n.
18
Suppose -112 = -0*x - 4*x. Let i be (-1 - -184) + 4*(-21)/x. Suppose 2*t - 12 = i. What is the remainder when t is divided by 33?
30
Suppose -44*u = -56*u + 324. Suppose -2*x - 504 = -5*y, -u*y + 28*y - 106 = 3*x. Calculate the remainder when 596 is divided by y.
96
Let s = 3622 + -3038. Calculate the remainder when s is divided by 7.
3
Let g(t) = -19*t**2 + 151*t + 20. What is the remainder when 5818 is divided by g(8)?
10
Suppose -28*q = -4*q - 149280. Let h(g) = -g**3 - 2*g**2 + 6*g - 5. What is the remainder when (q/16)/5 + (-3)/4 is divided by h(-5)?
37
Suppose 44161*p - 108528 = 44149*p. What is the remainder when p is divided by 67?
66
Calculate the remainder when -1451*6*13/(-78) is divided by 11.
10
Let c(p) = 10*p**3 - 9*p**2 + 11*p - 2. Let d be c(1). Calculate the remainder when 167 is divided by 22 - (-6 + -8 + d).
11
Suppose -65 = 5*t + 5*v, 0*t - 5*v - 49 = 3*t. Calculate the remainder when (-237)/t - 15/(-40) is divided by 17.
13
Let q = -3 + 1. Suppose -3*n = -i + 2*i - 28, 0 = 4*i + 2*n - 102. Calculate the remainder when (-9 - -253)/(q/(-1)) is divided by i.
22
Let q(f) = -f**3 + 14*f**2 - 12*f + 8. Let y be q(12). Let h be (-2)/3 - y/6. Let i = h + 34. What is the remainder when 12 is divided by i?
4
Suppose -4*o = -15*o + 2640. Suppose 0 = r - 3*r + 12. What is the remainder when r is divided by o/(-90)*9/(-4)?
0
Suppose 4*n + 154 = 3*t, -3*n = 3*t - 8*n - 155. Suppose -5*z - 95 = 2*a, 2*a + t = 4*z - 0*z. Let m = 116 + a. Calculate the remainder when m is divided by 29.
23
Let m = -194 + 208. Let z(f) = -123*f**3 - f**2 - 3*f - 3. What is the remainder when z(-1) is divided by m?
10
Let g = -15033 - -15162. What is the remainder when 483 is divided by g?
96
Let w = -27 + 38. Suppose -4414 = -19*g - 11596. Calculate the remainder when 7/1 + g/(35/(-5)) is divided by w.
6
Let v = 745 - 720. Suppose -61 = 2*k - 5*m - 490, -4*m + 234 = k. What is the remainder when k is divided by v?
22
Let w = -178 + 172. Suppose 0 = -2*z + z + 16. Calculate the remainder when (-15)/(w/(-16)*4/(-6)) is divided by z.
12
Let u(p) = 58*p**2 - 13*p - 13. What is the remainder when (1 + 0)/(13 - (-18520)/(-1425)) is divided by u(-1)?
53
Let n(g) = 28*g - 61*g**2 + 20*g**2 + 3 + 19*g**2 + 25*g**2. What is the remainder when 224 is divided by n(-11)?
50
Suppose -4267*w + 4245*w + 2420 = 0. What is the remainder when 1123 is divided by w?
23
Let x = 5584 + -5440. What is the remainder when 380 is divided by x?
92
Let r(d) be the third derivative of 15*d**4/8 - 23*d**3/6 + 3*d**2 + 8. What is the remainder when r(3) is divided by 38?
36
Calculate the remainder when 201/2*((308/21)/1 - 12) is divided by 98.
72
Let r = 732606 - 732586. Let s(v) = 2*v - 3*v + v**2 - 4*v - 5. What is the remainder when s(-4) is divided by r?
11
What is the remainder when 657 is divided by -7*(-3)/((-33)/(-44))?
13
Let b be (-4)/18 + (-68)/18. Let h(l) = -342*l - 17713. What is the remainder when h(-52) is divided by b/10 + 94/10?
8
Suppose -528 = -r + 2*f, 3*r + 4*f + 482 = 2056. What is the remainder when r is divided by 174?
4
Let h = 5461 - 3000. Calculate the remainder when h is divided by 16.
13
Let c = -6 + 24. What is the remainder when 28896/62 - 4948/76694 is divided by c?
16
Calculate the remainder when 209 is divided by ((36855/40)/9 - -4) + (-3)/8.
103
Let w(r) = -2*r**2 - 6*r - 1. Let s be w(-5). Let y = 98 - s. Suppose 2*v - d - 44 = 4*d, 2*v - 28 = d. What is the remainder when y is divided by v?
11
Let u(w) = -2*w + 123 - 171 + w. Let o be u(20). Let x = 53 - o. What is the remainder when x is divided by 32?
25
Suppose -24460*v = -24486*v + 22178. Calculate the remainder when v is divided by 123.
115
Let l(y) = -y + 7. Let z be -3 - (-27 + -1*3/1). Suppose z*x - 342 = 333. What is the remainder when x is divided by l(-7)?
11
Let j = -418 + 505. What is the remainder when 144 is divided by j?
57
Let z(j) = -18 + j + 0*j + 3*j. Let n = -20 + 29. What is the remainder when 71 is divided by z(n)?
17
Let s(a) = a + 24. Let q be s(-8). Suppose -3*m = 4*v - 2*m - q, 3*v = 5*m - 11. What is the remainder when 4 is divided by v?
1
Suppose 0*b = -3*b + a + 758, b = 5*a + 248. Suppose -b = 38*x - 49*x. Calculate the remainder when 16/(-6)*51/(-2) is divided by x.
22
Let y(b) = -9*b + 59. Let k be y(6). Suppose 119 = 5*g - 4*r, -3*g + 74 = -k*r - 0*r. Calculate the remainder when 206 is divided by g.
22
Let m = -14291 - -14690. Calculate the remainder when m is divided by -2 - (2 - 29)*1.
24
Suppose l - 138 = -2*f, -f + 0*f = 3*l - 394. Suppose -l*p - 174 = -133*p. Calculate the remainder when 231 is divided by p.
57
Let g = 1362 - 1291. Let o = -42 - -63. Calculate the remainder when g is divided by o.
8
Let z(d) = 2*d**3 - 4*d**2 + d - 9. Let v be (-52)/(-98)*7 - (-2)/7. What is the remainder when z(v) is divided by 15?
14
Suppose 2357 = 3*v - 5*d - 4644, 5*v - 11627 = -2*d. Calculate the remainder when v is divided by 24.
23
Suppose -3*p - 9 = -4*v, -3 = -26*v + 21*v + p. Suppose v = 4*y - 127 + 115. What is the remainder when 60 is divided by y?
0
Suppose -8 = d - 5*d. Suppose 56 = d*n + 20. Let s = 146 + -24. What is the remainder when s is divided by n?
14
Suppose 16 = 4*s + 4*m - 8, m = -4*s + 30. Calculate the remainder when 221 is divided by s/(-10)*(-700)/40.
11
Suppose -4*p = 2*l + 274, -p - 15 = -4*l + 40. Let s = p - -75. Let y(v) = v**2 - v - 9. What is the remainder when y(8) is divided by s?
7
Let i(d) = 25*d + 29 + 23 - 27*d. Let a(p) = 27*p + 466. Let w be a(-17). What is the remainder when i(w) 