Suppose s + 4 = -w + 6, s - 2*w - 14 = 0. Suppose 5*i - 16 = 4*y + 37, 0 = -3*i - 9. Let t = s - y. Calculate the remainder when t is divided by 13.
10
Let z = -71 + 76. Suppose -87 = -3*n - 2*j + 125, -z*j + 350 = 5*n. Calculate the remainder when n is divided by 38.
34
Let u = 252 + -168. What is the remainder when 331 is divided by u?
79
Let i = 67 - 8. Suppose -i = -x - 5*b + b, 2*x = 2*b + 168. What is the remainder when x is divided by 27?
25
Let q(r) = r**3 - 9*r**2 - 7. Let l = -2 - -11. Let y be q(l). What is the remainder when 24 is divided by (1 + 1)*y/(-2)?
3
Let v be 0 + -1 + -8 + 0. Let o(g) = g + 13. Let f be o(v). Suppose -3*s - 3*k = -36, -f*s + 8*s - 5*k = 30. What is the remainder when 19 is divided by s?
9
Let v be -3 - 12*(-9 + 3). Let c = -31 + v. Calculate the remainder when c is divided by 10.
8
Suppose -47*w - 2176 = -10730. What is the remainder when w is divided by 53?
23
Let n = -224 + 275. Let j(b) = -b**2 + 10*b + 14. Calculate the remainder when n is divided by j(10).
9
Let a(o) = o**2 - 10*o - 6. Let l be a(9). Let m = l + 41. Suppose -2*i + m = -10. What is the remainder when 35 is divided by i?
17
Suppose -5*t + 126 = -9. Suppose 32*m - t*m = 135. Suppose 0 = v + 4*v - 50. Calculate the remainder when m is divided by v.
7
Let b(h) = -h + 2. Let r be b(-2). Suppose -a - 108 = -r*a. What is the remainder when a is divided by 10?
6
Let y(f) = f**2 - 18*f + 23. Calculate the remainder when y(21) is divided by 30.
26
Suppose -y + 4*y = 3. Suppose 5*r = 4*z - 2, -2*z - 1 = -5*r + 3. Suppose 2 + z = 5*a. Calculate the remainder when y is divided by a.
0
Let r be (-71 + 2)/(-3)*-1. Let s(n) = -n**2 - 25*n - 35. Suppose -5*m + 78 = -3*m. What is the remainder when m is divided by s(r)?
6
Let a(n) = 11*n**2 + 6*n - 33. Suppose 0*k - 24 = -6*k. Calculate the remainder when a(k) is divided by 19.
15
Suppose 206 = 3*n - n. Let d = -68 + n. Calculate the remainder when 67 is divided by d.
32
Let q = 46 + 10. Suppose -7*m - 12 = -222. Suppose -4*o - 54 = -2*x, -2*x + o = -3*x + m. Calculate the remainder when q is divided by x.
27
Suppose 0 = -122*f + 134*f - 180. What is the remainder when 169 is divided by f?
4
Let y = -11 + 15. Let j be ((-147)/14)/((-3)/y). What is the remainder when 4/j + 556/14 is divided by 21?
19
Let w be 10/2*28/10. Let g be 24/(-12)*w/4. Let z(o) = -o**2 - 13*o - 6. What is the remainder when z(g) is divided by 13?
10
Calculate the remainder when 58 is divided by 270/81*(2 + (4 - 0)).
18
Suppose -4*r + 2*v + 224 = 0, 3*r + 0*r = v + 168. Calculate the remainder when 245 is divided by r.
21
Suppose 4*m + 965 = 5*y - m, 2*y - 389 = 5*m. Suppose -y = -2*p - p. Let g = 53 - 20. Calculate the remainder when p is divided by g.
31
Suppose 3*j = -0*j + 54. Let x be 1/((-2)/j) + 2. What is the remainder when (-56)/16*40/x is divided by 12?
8
Suppose 16 = b - 2*v, 0*v = 5*b - 4*v - 80. Let h = 68 - -78. Suppose 5*n + w = h, n = -0*w + 4*w + 25. What is the remainder when n is divided by b?
13
Let v = 168 + -134. What is the remainder when v is divided by 8/6 - (-342)/27?
6
Let m = -32 + 31. What is the remainder when (-7*3)/(m + 20/24) is divided by 16?
14
Let x(y) = 111*y**3 - 2*y**2 + 2*y - 1. What is the remainder when x(1) is divided by 20?
10
Let v(f) = -f**3 + 7*f**2 + f - 4. Let s be v(7). Suppose s*w - 175 + 25 = 0. What is the remainder when w is divided by (-2)/(-18)*51*3?
16
Suppose 3*j = 2*f - 8, 4*j + 1 = 4*f - 7. Suppose -13*n = -20*n + 168. Calculate the remainder when f - (0 - 0 - 48) is divided by n.
22
Calculate the remainder when (-5 - -3)*4/(-24)*159 is divided by 51.
2
Let l(h) = -h**3 + 3*h**2 - h + 1. Let w be l(2). Suppose -n - 2*u = 3*u - 69, 0 = w*n - 2*u - 207. What is the remainder when n is divided by 24?
21
Let n be -3*(1 + 8/12)*-4. Suppose 126 = 2*f - 2*w, -3*f + 48 = -2*f + 2*w. Calculate the remainder when f is divided by 1 - (-1 - n - -2).
18
Suppose 6*x - 164 = -8. Calculate the remainder when 72 is divided by x.
20
Let t = -13 - -25. Suppose -q + 13 = t. Suppose -4*v + 1 = 3*p, p = 5*v + 2*p - 4. Calculate the remainder when q is divided by v.
0
Let t(r) = -43*r - 9. What is the remainder when t(-1) is divided by 3?
1
Let l be (-28)/(3*(-5)/15). Calculate the remainder when 7 is divided by 1/(-4) + 147/l.
2
Let u(f) = 3*f + 7. Let p(c) = -15*c**3 - 3*c**2 - c - 2. What is the remainder when p(-2) is divided by u(5)?
20
Let a be (-1)/(-3)*4*51. Suppose 0 = -2*v + a + 8. Calculate the remainder when v is divided by 4.
2
Suppose n + 4*t - 4 = 0, -1 = 5*n + 2*t - 3. Suppose n = b - 2*b + 1. Calculate the remainder when 1 + b + 27/9 is divided by 3.
2
Let v(b) = -3*b + 1. Let c be v(-4). Let k(s) = s**2 - 12*s + 9. Let f(j) = -j**3 - 17*j**2 - 4*j + 17. Calculate the remainder when f(-17) is divided by k(c).
19
Let n(a) = -a**3 - 23*a**2 - 3*a + 35. What is the remainder when n(-23) is divided by 35?
34
What is the remainder when 15 is divided by (94/235)/(2/45)?
6
Suppose -25 + 2 = -x. What is the remainder when 65 is divided by x?
19
Let u = -1096 + 2314. Calculate the remainder when u is divided by 47.
43
Suppose 0 = m - 1, -5*l + 0*l = m - 241. What is the remainder when (-173)/(-5) + l/20 + -2 is divided by 19?
16
Let x(u) = -2*u**3 + 20*u**2 - 18*u + 10. Calculate the remainder when 10 is divided by x(9).
0
Suppose -a + 27 = b, a - 7 = 3*b + 36. Suppose -3*j + 8 = -a. Suppose 4*w = 3*n + 175 + 36, -2*w + 118 = -4*n. What is the remainder when w is divided by j?
10
Let r = 13 - 14. Calculate the remainder when (-4)/r - (-41 + 2) is divided by 9.
7
Suppose 0 = 3*w - 4*x + 32, -w - x - 3*x = 16. Let m = w + 22. Calculate the remainder when 28 is divided by m.
8
Calculate the remainder when 216 - (-5 - 0/(-4)) is divided by 28.
25
Let c(s) = -25*s + 28. Calculate the remainder when c(-3) is divided by 32.
7
Let l = 39 - 18. Let j = 17 - 12. Suppose -2*t + y = -t - 6, -14 = -3*t + j*y. What is the remainder when l is divided by t?
5
Suppose -617 = 9*d - 13*d + 5*o, 3*o = 2*d - 307. What is the remainder when d is divided by 28?
18
Suppose -171 = -12*r + 9. Suppose 158 = 3*w - 64. Calculate the remainder when w is divided by r.
14
Let g = -49 + 43. Let v(t) = -2*t**2 - 18*t - 20. Calculate the remainder when 79 is divided by v(g).
15
Suppose 75*s = 65*s + 2020. What is the remainder when s is divided by 69?
64
Let c = 10 - 4. Suppose v + 3*b + 6 = 0, 3 = -3*v + 2*b - c*b. Suppose -3*w = 6, 5*w + 6 + 16 = v*k. Calculate the remainder when 6 is divided by k.
2
Let h(l) = -l**3 - l**2 + l - 4. Let j = -80 + 100. Calculate the remainder when (-4)/(0 + j) - (-480)/25 is divided by h(-3).
8
Let u = 16 + -13. Suppose -3 = u*h - 6. Let v(j) = 5*j + 1. What is the remainder when 28 is divided by v(h)?
4
Let f(c) = 30*c + 829. Calculate the remainder when 51 is divided by f(-27).
13
Suppose -712*z + 717*z = 495. Calculate the remainder when z is divided by 5.
4
Suppose 3*p = -12, 3*l - 68 = -0*l - 4*p. Suppose 3*r - 2*c - 66 = -r, -2*r - 4*c = -l. What is the remainder when 94 is divided by r?
14
Suppose -4*k = -0*k. Suppose -5*a + 3*a + 60 = k. Calculate the remainder when 119 is divided by a.
29
Let u(f) = -65 + 23 + 21 - 6*f. Calculate the remainder when u(-9) is divided by 19.
14
Suppose -3*v = -g, -3*g + 5*v = 2*g + 50. Calculate the remainder when ((-148)/12)/(5/g) is divided by 13.
11
Let n(g) = -g**2 - 5146 + 5134 + 4*g + 3*g**2. Calculate the remainder when 101 is divided by n(-5).
11
Let z(d) = d - 2. Let o be z(2). Let y = o + 4. Suppose y*c - 36 = c. Calculate the remainder when 58 is divided by c.
10
Let u(v) = -17*v - 246. Let o = 24 - -79. What is the remainder when o is divided by u(-16)?
25
Suppose y - i = 2*i + 26, 15 = -5*i. Let l = -12 - -8. Calculate the remainder when 15/30 - 130/l is divided by y.
16
Let j be (103*(4 + -3))/1. Suppose 0 = 5*i - p - 157, j = i + 2*i - 5*p. Calculate the remainder when i is divided by ((-232)/(-16) + 2)*(-4)/(-6).
9
Let w(v) = -49*v**3 + 11*v + 30. What is the remainder when w(-3) is divided by 49?
46
Let s = 641 + -585. What is the remainder when 66 is divided by s?
10
Suppose j - 668 = -3*j + 2*w, -5*j + 5*w + 835 = 0. What is the remainder when j is divided by 24?
23
Let j = 11 - 11. Suppose 4*u - 17 - 3 = j. Suppose -4*i + 