 x be (-1488)/(-9) - (16/(-6) + 2). Suppose 2*t + 215 = 5*o - x, -2*o + 160 = 3*t. What is the remainder when o is divided by 13?
12
Let p = -8 - -32. Let g(f) = f**2 - 4*f - 7. Let c be g(7). Let l = c - -33. What is the remainder when l is divided by p?
23
Suppose -5 = 2*j + j + b, -9 = 5*j + b. Let y = j - -2. Suppose 3*c + 0*o - 194 = o, y = 4*o - 4. What is the remainder when c is divided by 17?
14
Suppose 11 = 4*h - 1. Suppose -h*t = -23 - 1. What is the remainder when 39 is divided by t?
7
Calculate the remainder when 8 is divided by (-13)/(-3) + (-20)/(-30).
3
Suppose 4*l - 5*n - 80 = -l, -3*n = 3. Suppose 24*k - 818 - 118 = 0. What is the remainder when k is divided by l*(24/9 - 2)?
9
Let g = 138 - 120. Calculate the remainder when 843 is divided by g.
15
Let q(p) = -p**3 - 14*p**2 - 13*p + 16. Calculate the remainder when (-53 - 1)*10/(-20) is divided by q(-13).
11
Let q be -4 + (-9)/3*10/(-15). What is the remainder when (32/12)/(q + (-79)/(-39)) is divided by 18?
14
Let v = 1 + -9. Let d be ((-1)/(-2))/(v/(-432)). Let g = d - 5. Calculate the remainder when g is divided by 13.
9
Let l(y) = 3*y**2 + 48*y + 37. What is the remainder when 184 is divided by l(-16)?
36
Suppose 7*l = -2*s + 3*l - 6, 2*s - 3*l - 29 = 0. Calculate the remainder when 55 is divided by s.
6
Suppose -5*m + 76 = -4*m. Let o(q) = 15*q**2 + 4*q - 3. Calculate the remainder when m is divided by o(1).
12
Suppose -5*x + 1232 - 337 = -d, -x = 4*d - 179. Let o = x + -20. What is the remainder when o is divided by 27?
24
Calculate the remainder when 6/(-27) + (-3 - (-4150)/45) is divided by 13.
11
Suppose 0 = -10*q + 7*q + 3*b + 1668, 2798 = 5*q + 4*b. What is the remainder when q is divided by 11?
8
Suppose 0 = r - 33 - 39. Suppose 3*p - r = -15. Calculate the remainder when p is divided by 10.
9
Let i(u) = -u**3 + 9*u**2 + 9*u + 32. Let y(r) = -2*r**2 - 10*r + 5. What is the remainder when i(10) is divided by y(-5)?
2
Suppose -40 = 138*s - 140*s. Calculate the remainder when 198 is divided by s.
18
Suppose 78 = -7*o + o. Let w = 73 + o. Calculate the remainder when w is divided by 9.
6
Let h = 174 + -166. Let a(r) = -1 - r - 1 - 7*r. Calculate the remainder when a(-2) is divided by h.
6
Suppose -53*r + 57*r = 1132. What is the remainder when r is divided by 19?
17
Let z(o) = -17*o**3 - o**2 - 2*o - 2. Let s(f) = -f + 2. Let b be s(3). Let m be z(b). Suppose -m = -h + 12. What is the remainder when h is divided by 10?
8
Let n = -199 - -208. Let i(g) = 9*g**2 - 2*g + 1. Let c be i(1). Suppose -r + 17 = -c. What is the remainder when r is divided by n?
7
Let j = -2679 - -4156. Calculate the remainder when j is divided by 40.
37
Let p = -56 - -27. Let z = -22 - p. Calculate the remainder when z is divided by 4.
3
Suppose 5*i + 3*y - 3685 + 692 = 0, -y = 2*i - 1197. What is the remainder when i is divided by 25?
23
Suppose 2*r = -0*r - 3*z + 18, -3*z = r - 15. Suppose 5 = -5*c, r*c + 1 = -2*s - 2. Suppose s = -f + 5 + 9. What is the remainder when 52 is divided by f?
10
Let z(r) be the second derivative of r**3/6 + 12*r**2 - 29*r. What is the remainder when 101 is divided by z(-7)?
16
Let k(b) = b**2 - 9*b - 129. Suppose 0 = 4*x - 5*x + 37. Let z = 56 - x. What is the remainder when z is divided by k(17)?
5
Suppose 2*z = 5*z + 5*u - 758, -488 = -2*z + u. What is the remainder when z is divided by 31?
29
Suppose 13*i + 121 = 14*i. Calculate the remainder when i is divided by 63.
58
Let r(f) = -19*f + 12. Let g be r(10). Let m be 22/99 - g/9. What is the remainder when 60 is divided by m/90 - (-374)/18?
18
Let g(v) = -v**2 - 35*v + 80. What is the remainder when g(-26) is divided by 40?
34
Let n(h) = 2*h**3 - h**3 + 31*h**2 + h - 2*h**3 - 8 - 17*h**2. Calculate the remainder when 32 is divided by n(14).
2
Suppose 0 = -5*x + 10, 350 = -5*k + k + 5*x. Let z = k + 142. What is the remainder when z is divided by 12?
9
Let a(x) = x**3 + 7*x**2 + 16. What is the remainder when a(-6) is divided by 20?
12
Let q(n) = -1 - n + 1 + n**2 - 9 - 2. What is the remainder when q(-5) is divided by 11?
8
Let v be -1 + 5 - (4 - 2). Suppose 4*s - 3*h - 171 = -v*h, -3*s - 5*h + 134 = 0. What is the remainder when 128 is divided by s?
42
Let d(u) = u**2 + 10*u - 6. Let r be d(-11). Suppose -z + r*z - 140 = 0. Calculate the remainder when 101 is divided by z.
31
Suppose a - 2 = 31. Let w = -6 - -26. Let k = w + -8. Calculate the remainder when a is divided by k.
9
Let z be 12/(-2)*4/(-6). Calculate the remainder when 9/(-4)*40/(-3) is divided by z/(-3)*(14 + -2)/(-1).
14
Let w = -38 - -40. Suppose -3*q = -7*q - t + 32, -w*q + 5*t = 6. Calculate the remainder when 20 is divided by q.
6
Let n(d) = 63*d - 296. What is the remainder when 216 is divided by n(5)?
7
Suppose -2*n + n = 10. Let y = -6 - n. Calculate the remainder when (574/56 - 0) + (-10)/8 is divided by y.
1
Let a = 20 - 17. Suppose -a*m - m - k + 33 = 0, 5*m - 35 = 5*k. Suppose 41 = -7*x + m*x. Calculate the remainder when x is divided by 11.
8
Let w = -55 - -79. Let x(o) = -o + 13. Let i be x(10). Suppose i*b - 1 - 4 = -r, 0 = -2*b - 6. What is the remainder when w is divided by r?
10
Calculate the remainder when 7/(4/(76 + -8)) is divided by 30.
29
Let u = 127 - 63. What is the remainder when u is divided by 22?
20
Calculate the remainder when 87 is divided by 8/(((-188)/48 - -4)*2).
39
Let p(u) = u + 3. Let x be p(2). Calculate the remainder when 22 is divided by (x + 0)/(0 - -1).
2
Let l(k) = 4*k. Let o be l(1). Suppose 5*w = o*j - 56, 7*w - 2*w = -20. Let q(h) = -h**3 + 8*h**2 + 9*h + 2. What is the remainder when 3 is divided by q(j)?
1
Let g = 125 - 36. Calculate the remainder when g is divided by 23.
20
Suppose -k + 165 = 3*r - 4*k, -65 = -r - k. Suppose -h + 5*w + 15 = 0, -4*h + w = -2*w - r. What is the remainder when h is divided by 2/(((-14)/(-4))/7)?
3
Suppose -2*r + 5*i + 69 = 0, 5*r + 4*i - 49 = 140. Calculate the remainder when r is divided by 17.
3
Let a(r) = -r**3 - 25*r**2 - 21*r + 87. Let c be a(-24). Let s = 1 - 4. Calculate the remainder when 59 is divided by c + -4 + (s - -7).
14
Suppose 0 = -5*r + 346 - 46. Suppose -4*s = 5*f - r, -s = 2*s - 2*f - 22. What is the remainder when 48 is divided by s?
8
Suppose 19*h = 17*h + 496. Suppose -247*o + h*o = 41. What is the remainder when 121 is divided by o?
39
Let n(h) = 17*h**3 + 1. Let b be n(-1). Let w = 59 + b. What is the remainder when 214 is divided by w?
42
Let f = 246 + -190. Calculate the remainder when f is divided by 35.
21
Let w(t) = -7*t - 1. Suppose 0 = -4*a - 1 - 3. Calculate the remainder when (-19)/38*4*(-7)/2 is divided by w(a).
1
Suppose 6*g + 5 = 17. Suppose 0 = -2*a - 8, -2*b + 5 = g*a - 23. Let h = 1 - -4. Calculate the remainder when b is divided by h.
3
Let w = -6 + 0. Let l(p) = 0*p**2 + 110 - 3*p**2 + 3*p**3 - 4*p**3 + 5*p - 122. Calculate the remainder when l(w) is divided by 17.
15
Suppose -38 = -0*n - n + 5*t, -4*n + 95 = -t. Let w(b) = b**3 + 5*b**2 - 26*b - 7. What is the remainder when n is divided by w(-8)?
5
Let x = 31 - -4. Suppose -4*m + 11 + 73 = -4*g, -5*m + 75 = 5*g. Calculate the remainder when x is divided by m.
17
What is the remainder when 47 is divided by (1 - 2/(-2)) + (-135)/(-15)?
3
Let f = -11 - -14. Let o(z) = z**3 - 2*z**2 - 4*z + 5. Calculate the remainder when 3 is divided by o(f).
1
Suppose -2*q + 3*r = -26, 5*r + 54 = 5*q - q. Suppose 3*l + 0 + 6 = 0. Calculate the remainder when -4 + 29 + (2 - l) is divided by q.
13
Suppose -3*v + 6*v - 281 = 2*r, 5*r - 200 = -2*v. Calculate the remainder when v is divided by 42.
11
Suppose -4*w = -841 - 523. What is the remainder when w is divided by 7?
5
Let c be 82/2 - (-6)/(-3). Suppose -25 = 3*l - 8*l. Suppose -c = l*j - 6*j. What is the remainder when j is divided by 10?
9
Let f be -14*1/(-3) - 3/(-9). Suppose 15 + 15 = f*y - 4*q, 3*y - 3*q = 15. What is the remainder when y is divided by 6?
4
Suppose n - 6*n - 137 = -4*c, 2*c - 2*n - 70 = 0. Suppose -4*r - 4*f = -276, r = 6*r - f - 357. Calculate the remainder when r is divided by c.
33
Let w = 62 + 11. Suppose -3*y - 80 = -5*m - 289, -y = -m - w. Suppose -u = -y + 19. Calculate the remainder when u is divided by 15.
14
Let g(k) = -20*k + 282. Calculate the remainder when g(8) is divided by 41.
40
Let u(r) = 2*r**3 - 23*