Calculate the remainder when i(-8) is divided by 11.
6
Let g(a) = -a**2 - 5*a + 10. Let b be g(-6). Calculate the remainder when 15 + (-2 + 1)*b is divided by 6.
5
Suppose -5*v + 124 = -3*v. Suppose -3*j + 101 = 4*y, 2*y + y + 5*j = v. Suppose -37*l = -36*l - 15. What is the remainder when y is divided by l?
14
Suppose -4*q = k + q - 17, 0 = 3*k + 3*q - 3. Let y be 38/(-2) + k + 1. Let j = y - -29. What is the remainder when 13 is divided by j?
5
Suppose r + 4*s - 19 = 0, -3 + 11 = -r + 5*s. Calculate the remainder when 17 is divided by r.
3
Let t = 38 + -34. Suppose -w + 3*w = t. Suppose 3 = b - 0*b, 4*l = -4*b + 20. Calculate the remainder when w is divided by l.
0
Suppose 3*d = -3*q + 12 + 12, -9 = 3*d. Calculate the remainder when 43 is divided by q.
10
Let p(g) = 46*g**3 - g. Let j be p(-1). Let y = j + 117. Let l = -43 + y. Calculate the remainder when l is divided by 15.
14
Suppose 0*l - 4*l - 2*u = -70, -2*l + 55 = 5*u. Suppose -117 = -l*p + 12*p. What is the remainder when p is divided by 21?
18
Suppose -5 = 3*p - 527. What is the remainder when p is divided by 60?
54
Let m(a) = a**3 + 16*a**2 - 3*a - 34. What is the remainder when 23 is divided by m(-16)?
9
What is the remainder when 64 is divided by 17/(-2)*(-17 - -15)?
13
Suppose 26 = 5*b - 3*s, -4*b - 3*s = -7*b + 18. Suppose -2*o = -b*y - 14, -y + 6 = 3*o - 15. Calculate the remainder when 12 is divided by o.
5
Suppose -5*t + 38 = 2*b, 0*b - t + 72 = 5*b. Suppose -a = -3*a + b. Suppose -2*s + 29 = a. Calculate the remainder when 43 is divided by s.
10
Let d be 3*(-122)/6*1. Let z = 100 + d. What is the remainder when z is divided by 21?
18
Suppose -3*v = -5 - 1. Suppose 5*w - 9 = -v*z - 0, 5*z = 3*w + 69. Calculate the remainder when 34 is divided by z.
10
Suppose -79 - 180 = -7*m. Calculate the remainder when m is divided by 19.
18
Suppose 0 = -0*l - l - 27. Let h = l + 58. What is the remainder when h is divided by 16?
15
Let g = -122 - -191. What is the remainder when g is divided by 14?
13
Suppose 0 = -n + 4 + 1. Let l be 1 - (-62)/2 - 0. Let w = l + -19. What is the remainder when w is divided by n?
3
Let u(j) = -3*j**2 + 8*j + 4*j**2 - 2*j**2 - j**3 - 7 + 5*j**2. Let s(i) = i + 10. Let a be s(-5). What is the remainder when 23 is divided by u(a)?
7
Let k = -9 + 13. Let l = 31 + k. Suppose 0 = 2*i + 3*i - l. Calculate the remainder when 12 is divided by i.
5
Let v(o) be the third derivative of 0 - 1/60*o**5 + 0*o + 5/2*o**3 + 2*o**2 - 11/24*o**4. What is the remainder when 29 is divided by v(-11)?
14
Let p(v) = v**3 + 5*v**2 - 2*v - 2. Let h be p(-4). Let d = -16 + h. What is the remainder when 11 is divided by d?
5
Let q = 9 - 5. Let d be 2/(-3) + (-82)/(-6). Suppose -y + d = -2. What is the remainder when y is divided by q?
3
Suppose -10 = -w + 2*y, -w - y + 1 = -9. Let l(s) = -s**2 - s + 37. What is the remainder when l(0) is divided by w?
7
Let t(l) = 3*l**2 + 2*l - 4. Let d be t(-4). Suppose 3*p - d = p. What is the remainder when 34 is divided by p?
16
Suppose o - 6*o + 15 = 0. Let j(g) = -g**2 + 8*g - 2. Calculate the remainder when 4/(-6) - 77/(-3) is divided by j(o).
12
Suppose -54 = -5*r + 46. What is the remainder when 58 is divided by r?
18
Suppose 98 + 72 = 5*b. Suppose -k - 3*k = -3*f - 23, -2*k + b = -4*f. Let z = f + 16. What is the remainder when 12 is divided by z?
5
Let g = -4 + 4. Suppose 2*n - 8 - 6 = g. Calculate the remainder when (-1)/(-2)*2*13 is divided by n.
6
Suppose -y - 2*f = -3*y + 8, 13 = 4*y - f. Suppose -5*m - y*u + 29 + 6 = 0, -25 = -5*u. Let r = 9 + -6. What is the remainder when m is divided by r?
1
Let h(q) = -6*q + 3. Let g(p) = p**2 - 6*p + 5. Let d be g(4). Calculate the remainder when h(d) is divided by 11.
10
Suppose 12 + 11 = 2*o + 5*d, 0 = -5*o - 3*d + 29. Suppose -166 + 50 = -o*i. Calculate the remainder when i is divided by 10.
9
Suppose 0 = 4*g - 107 - 53. What is the remainder when 119 is divided by g?
39
Let v = 73 + -35. Suppose -5*g - 2*a = -3*a - 150, 0 = -5*a - 25. Let s = g + -16. What is the remainder when v is divided by s?
12
Suppose 0 = -5*f + h, -5*h = -f - 4*f. Suppose 0*b + b - 6 = f. What is the remainder when 22 is divided by b?
4
Suppose 11*t = 6*t + 70. Suppose h - 3*h = 3*d - 78, -5*h + 195 = 2*d. What is the remainder when h is divided by t?
11
Suppose -3*r - 2*r + 25 = 0. Suppose r = 5*o - 6*t + t, -2*t = -4*o + 6. Suppose 0*v + v = 6. What is the remainder when v is divided by o?
0
Let f = -12 + 8. Suppose -2*d = -5*z + 126, 0 = 2*d + 6 - 0. Calculate the remainder when z is divided by (-10)/(-15)*(-78)/f.
11
Suppose -3*r + n = -33, 3*r = -n - 2*n + 21. Calculate the remainder when r is divided by 5.
0
Suppose 4*o + 63 = 25*o. Calculate the remainder when (-52)/(-5) - (-4)/(-10) is divided by o.
1
Let c = 5 + -8. Let l be 3/6*2 + c. What is the remainder when (-4 + 3)*(-8 + l) is divided by 4?
2
Let s = 5 - 4. What is the remainder when (3 - 6) + s + 12 is divided by 4?
2
Suppose 0 = -5*d + 15. Suppose 3*q - d = 12. Suppose 0 = -j + q*j - 52. What is the remainder when j is divided by 5?
3
Suppose 6*o - 3*o - 6 = 0. Suppose -2*f - r = 3*f - 335, o*f - 137 = -r. What is the remainder when f is divided by 17?
15
Let c(s) = s**3 + 4*s**2 + 3*s + 3. What is the remainder when 8/32 + 38/8 is divided by c(-3)?
2
Suppose 0*s = 3*s - 9. Suppose s = -5*m + 23. What is the remainder when 10 is divided by m?
2
What is the remainder when 13 is divided by (3 - 10)*2/(-2)?
6
What is the remainder when 7 is divided by (-2 - -9) + 1 + -3?
2
Suppose -c + 2*c = -3*p + 10, 20 = 5*p. Let u(x) = x**3 - 6*x**2 + 3. Calculate the remainder when u(6) is divided by (3 - (-9)/(-2))*c.
0
Let n(l) = 2*l**3 + 2*l**2 - 1. Let v be n(-1). Let q(i) = -9*i**3 - i**2. What is the remainder when q(v) is divided by 3?
2
Suppose -5*x + 2*v = -97, 0*x + 2*v = -2*x + 36. Let i = 47 - x. What is the remainder when i is divided by 15?
13
Calculate the remainder when 36 + (-2)/1 - -3 is divided by 20.
17
Let w(u) = -u**2 - 9*u + 9. Let l be w(6). Let d = l + 36. Let m = -18 - d. What is the remainder when 79 is divided by m?
25
Suppose -3*l = -l - 70. Suppose l = 3*j - n, 2*n + 2*n = 16. Calculate the remainder when 25 is divided by j.
12
Suppose 0 = -6*a + a + 745. Suppose -5*k + a = 4. What is the remainder when 86 is divided by k?
28
Let u = 49 + -10. Let t = u - 17. Let y(j) = j**3 - 6*j**2 + 7*j + 2. What is the remainder when t is divided by y(5)?
10
Suppose 3 = 4*r - 13. Suppose -5 = -3*f + r. Calculate the remainder when 4 is divided by f.
1
Let x = 10 - 2. Let f = 9 + 13. Calculate the remainder when f is divided by x.
6
Suppose -25 = -5*o - 3*s, 15 = 3*o + 4*s - 2*s. Calculate the remainder when (1 - (-2 + o)) + 21 is divided by 4/(-8)*-16 - -2.
9
Suppose 4*p + 3*j = 19, -j - 5 - 5 = -p. Calculate the remainder when 11 is divided by p.
4
Suppose -2*m + 5*u + 0*u + 37 = 0, -5*m = u - 25. Calculate the remainder when m is divided by 2.
0
Let u = 368 + -174. Calculate the remainder when u is divided by 49.
47
Let k(d) = d + 8. Let i = -4 - -17. Calculate the remainder when i is divided by k(-4).
1
Let a = 59 + -57. Let g = 12 - 5. What is the remainder when g is divided by a?
1
Let n be 2/4*(-550)/(-1). Suppose 2*t - n = -3*t. Calculate the remainder when t is divided by 29.
26
Let p = 66 + -33. Suppose -h - 4*y = -4, 4*h = 6*h - y - 26. Calculate the remainder when p is divided by h.
9
Let y = 351 - 164. What is the remainder when y is divided by 19?
16
Suppose 0 = k - 5*p - 12, 5*p - 23 = -4*k - 0*p. What is the remainder when k is divided by 3?
1
Calculate the remainder when 67 is divided by -35*(1 + 21/(-15)).
11
Let h be (-24)/6*5/(-4). Suppose 3*u - h*y = -2*u + 195, -5*y = -u + 23. Calculate the remainder when u is divided by 15.
13
Calculate the remainder when (-4)/16 + (740/16 - 3) is divided by 15.
13
Let b = -124 - -126. What is the remainder when ((-8)/10)/(2/(-10)) is divided by b?
0
Let l = -2 - 7. Calculate the remainder when (0 - 2) + (-288)/l is divided by 11.
8
Let k = 16 + -6. What is the remainder when k is divided by 3?
1
Let r = -101 - -107. What is the remainder when 6 is divided by r?
0
Let q(j) = j**2 - 6*j - 10. Let z be q(8). Let f = 21 - z. What is the remainder when 18 is divided by (-28)/(-3) - (-10)/f?
8
