Let j be y(a). Suppose -v + 1 = -j. Calculate the remainder when 38 is divided by v.
8
Suppose 0 = -4*p + 2*p + 20. Let q(c) = c**3 + 5*c**2 - 7*c - 6. Suppose 0 = -2*n - 2, 25 = -4*d + 3*n - 8*n. Calculate the remainder when q(d) is divided by p.
9
Let d(t) = -t + 5. Let x be d(5). Let b = x - -2. Suppose -b*n + 5*n - 3*y - 33 = 0, 0 = -3*n - 2*y + 18. What is the remainder when n is divided by 3?
2
Let w(l) = -9*l - 15. Let b be w(-11). Let u = b - 51. Calculate the remainder when 64 is divided by u.
31
Let v(o) = o**2 + 48*o + 177. Calculate the remainder when 145 is divided by v(-45).
19
Let h be ((-13)/(-1))/(2 - 1). Let y = -10 + h. Suppose 78 = -i + y*i. What is the remainder when i is divided by 20?
19
Let y(t) = 2*t + 0*t - t + 24*t**2. Let g be y(1). Suppose -2*k - d + 50 = 0, -d - 2*d + g = k. What is the remainder when 47 is divided by k?
22
Let t(a) = -a**3 + 15*a**2 - 25*a + 8. Let d be t(13). Suppose 0 = -22*z + d*z + 18. What is the remainder when 107 is divided by z?
17
Let k(t) = t**2 + 12*t + 35. Let p = 162 + -72. What is the remainder when p is divided by k(-11)?
18
Let d be (-2)/(-9) + 592/9. Suppose 2*g - 33 = -z - 0, d = 2*z - 4*g. Calculate the remainder when z is divided by ((-48)/14)/(10/(-35)).
9
Let a be 0 + 12 + -4 - 4. Suppose -w - 7*y + 7 = -4*y, 4*y - 12 = -a*w. Calculate the remainder when 1 is divided by w.
0
Let l(p) = p**3 + 6*p**2 - 6*p - 3. Let v(w) be the first derivative of w**3/3 + w**2/2 - 13*w + 62. What is the remainder when l(-6) is divided by v(-6)?
16
Let l = 870 + -833. What is the remainder when 125 is divided by l?
14
Let j(n) = n**2 + 3*n + 1. Let p(b) = 38*b**2. Let h be p(1). Let l = h + -33. Calculate the remainder when j(-6) is divided by l.
4
Let o = 89 + -46. What is the remainder when o is divided by 0*2/(-10) - -9?
7
Let p(b) = b + 12. Suppose -f = -2*h + 4*f + 35, 0 = 4*h + 5*f - 25. Let x(s) = s**3 - s + 85. What is the remainder when x(0) is divided by p(h)?
19
Let t(n) = 70*n + 1. Let v(i) = -7*i + 1. Let r(d) = -6*d + 1. Let a(x) = 6*r(x) - 5*v(x). Let u be a(0). What is the remainder when t(u) is divided by 24?
23
Let h = -976 + 989. What is the remainder when 83 is divided by h?
5
Let x(n) = n**3 + 20*n**2 - 52*n + 84. What is the remainder when x(-22) is divided by 36?
8
Suppose -3*b = -2*a - 2*b + 24, -3*a + 35 = -b. Calculate the remainder when 393 is divided by a.
8
Let k = -2358 + 2552. What is the remainder when k is divided by 15?
14
Suppose 5*w - 60 = -0*w. Let x(j) be the third derivative of -j**4/3 - 5*j**3/3 - 9*j**2. Calculate the remainder when x(-4) is divided by w.
10
Suppose -12 = -2*x - 4*o, -3*o = -2*x - x + 9. Calculate the remainder when (-3 + 2 + -1)*(-69)/6 is divided by x.
3
Suppose 5*r + 480 = 5*k, 2*r - 4*r - 394 = -4*k. What is the remainder when k is divided by ((-2)/(-8))/(110/7480)?
16
Let v(o) be the third derivative of -13/24*o**4 + 0*o + 0 + 4/15*o**5 + 7*o**2 - 7/2*o**3 - 1/120*o**6. What is the remainder when 15 is divided by v(15)?
6
Let x = -586 + 646. Calculate the remainder when x is divided by 55.
5
Let u(h) = -h**3 + 6*h**2 + 12*h - 24. Let a = 18 + -11. Suppose 3*m = 119 + a. What is the remainder when m is divided by u(7)?
9
Suppose -2*s + 3*q = 0, s + 2*s = -2*q + 13. Let d = s + 26. Let h = 118 - 61. What is the remainder when h is divided by d?
28
Let n = 54 - -16. Suppose 0 = -2*c - 3*s - 125, -3*s - 19 = c + 48. Let r = c + 82. What is the remainder when n is divided by r?
22
Suppose 0 = -2*p - p - 4*w + 45, -2*p = 3*w - 29. Suppose 6*c - p = 23. What is the remainder when 10 is divided by c?
3
Let f = 31 + -143. Let j = -99 - f. Calculate the remainder when 23 is divided by j.
10
Let m(d) = -8*d + 17*d + 16 - 10*d - 7. Calculate the remainder when 17 is divided by m(0).
8
Let s(i) = 6*i - 32. What is the remainder when 40 is divided by s(8)?
8
Let b(f) = -f + 2. Let o be b(2). Suppose -3*u + 12 = -o*u. Let i(k) = k**2 + 4. Calculate the remainder when 57 is divided by i(u).
17
Let q = -14 - -17. Suppose 0 = 4*t + 2*k - 80, q*t + k - 78 = -t. Calculate the remainder when t is divided by 7.
5
Let y be (2 - (4 + -2)) + 0. Suppose -2*v - 4 + 6 = y. Let s(r) = r**3 - 20*r**2 + 75*r - 405. What is the remainder when s(17) is divided by v?
0
Let t = -1117 - -1182. What is the remainder when t is divided by (34/(-4))/((-1)/2)?
14
Suppose -2*y + 7 = -11. Suppose 0 = -y*b + 16*b - 49. Calculate the remainder when 40 is divided by b.
5
Let q = -22 + 39. Calculate the remainder when q is divided by 66/10 + (36/45)/2.
3
Suppose -p = 4*t - 19, p + t - 1 = 6. What is the remainder when (p - 3) + (-1 - -4) is divided by 2?
1
Suppose 353*f - 348*f + 2*y = 6356, 5*y = f - 1282. Calculate the remainder when f is divided by 14.
12
Calculate the remainder when 59 is divided by ((-4)/5)/(1/(-15)).
11
Let h = -33 - -34. What is the remainder when 35 is divided by (-66)/88*(-12)/h?
8
Let f = 785 - 230. Calculate the remainder when f is divided by 62.
59
Suppose 0 = a + 2*t + 6, 0*t + 3 = -3*a - t. Suppose 0 = 5*p - a*p - 120. Calculate the remainder when 43 is divided by p.
19
Suppose 2*n + 59 = 2*t + 17, 3*n + 4*t + 42 = 0. Let o = 30 + n. Let y = 24 + -2. Calculate the remainder when y is divided by o.
10
Let d be (-3)/((-3)/29) - -3. Suppose -4*w + d = -4. Calculate the remainder when 14 is divided by w.
5
Suppose -7*u = -26 - 16. Suppose -4*b + 0*b = -3*d + 11, b = -d + u. What is the remainder when 18 is divided by d?
3
Let v = -7 + 13. Suppose 0 = -d + 3*f - v, 7*d - 4*f = 3*d. Calculate the remainder when d is divided by 1.
0
Let c(y) = 3*y**2 - 9*y + 4. Calculate the remainder when 878 is divided by c(-4).
86
Suppose -31*i - 41 + 289 = 0. Calculate the remainder when 620 is divided by i.
4
What is the remainder when (1 - -14 - 16)*(2 + -29) is divided by 7?
6
Let j = -1030 - -1047. Suppose 4*l - 259 = -5*r + 2*r, r - 61 = 5*l. Calculate the remainder when r is divided by j.
13
Let q = 57 - 29. Suppose 4*j = -3 + 71. Calculate the remainder when q is divided by j.
11
Let o = 5 - -1. Let d = 69 + -46. Calculate the remainder when d is divided by o.
5
Calculate the remainder when 224 is divided by 80 - 0 - (-11)/11.
62
Suppose -105 = -3*n - 2*n. Let t(f) = 4*f + 50. Let g be t(0). Let r = 90 - g. Calculate the remainder when r is divided by n.
19
What is the remainder when -2 - (-3236)/12 - (-4)/(-6) is divided by 54?
51
Let b = -13 - -21. Calculate the remainder when ((-44)/88)/(2/(-108)) is divided by b.
3
Suppose -99 = -2*r + 5*f, 0 = 6*f - 9*f - 9. What is the remainder when r is divided by 17?
8
Let h = 207 + -140. Suppose -h*u = -66*u - 30. Calculate the remainder when 59 is divided by u.
29
Let k = 994 - 968. Calculate the remainder when 122 is divided by k.
18
Let q(n) = -n**3 + 9*n + 9. Let a be q(-5). Suppose 4*t - a = -5*w, 2*t - w - 17 = 2*w. Calculate the remainder when 60 is divided by t.
12
Suppose 0 = -m + 2*p + 12 + 14, 2*m - 55 = 5*p. What is the remainder when 536 is divided by m?
16
Let h be ((-1)/3)/(2/(-66)). Let k(w) = 2*w**2 + 38*w. Let j be k(-19). Suppose j = -v + h. Calculate the remainder when 31 is divided by v.
9
Let p = -3 + 6. Let u be 3/p*(3 + 22). Suppose -u - 116 = -3*l. Calculate the remainder when l is divided by 12.
11
Let z(j) = -j**2 - 10*j + 17. Calculate the remainder when z(-7) is divided by (-2)/4*(-32)/2.
6
Suppose 0 = -5*n + 2*m - 3 + 146, 5*n - 5*m = 155. Calculate the remainder when 212 is divided by n.
23
Suppose 0 = -8*x + 9*x - 36. Calculate the remainder when 74 is divided by 1/(-5) + x/(-20) + 28.
22
Let j = 1 - -12. Let r = 2582 - 2557. Calculate the remainder when r is divided by j.
12
Suppose 6*q = 7*q - 27. Let r = q + -14. Let a = 36 - r. What is the remainder when a is divided by 13?
10
Let q = -10 - -22. What is the remainder when q is divided by 3?
0
Let s(o) = o**3 + 10*o**2 + 10*o + 3. Let q be s(-9). Let r = q - -1. Let t(k) = k**2 - k - 3. Calculate the remainder when t(r) is divided by 15.
12
Let b(k) = -k**2 + 26*k + 2. Let o be b(23). Suppose -49 = -8*d + o. Let l(f) = -5*f + 12. Calculate the remainder when l(-9) is divided by d.
12
Suppose -108 = -23*c + 19*c. Calculate the remainder when 42 is divided by c.
15
Suppose 71 = 26*q - 137. Suppose -n - 1 = 4*r, n + 3*r + 18 = 6*n