i(r) = r. What is the remainder when p is divided by i(7)?
6
Suppose 3*c - 5*c = -278. Let o = -96 + c. What is the remainder when o is divided by 15?
13
Let i(k) = -k**3 + 17*k**2 + 18*k + 23. Suppose 2*d + 2*d - 176 = 0. Calculate the remainder when d is divided by i(18).
21
Suppose -2*b + 4*l = b + 64, -2*l + 8 = 0. Let w = b - -36. Calculate the remainder when 38 is divided by w.
18
Let b = -10 - -17. Calculate the remainder when 26 is divided by b.
5
Suppose -3*o = -2*o - 2. Let l(j) = 3*j**2 + 4*j + 3. Let q be l(-2). Suppose -q*h + 145 = -o*h. What is the remainder when h is divided by 10?
9
Suppose -4*x - 5*q = -2*q - 385, -3*x + 5*q = -296. Calculate the remainder when x is divided by 25.
22
Let o = 17 + -10. Calculate the remainder when 17 is divided by o.
3
Let w(a) = -a + 21. What is the remainder when ((-6)/5)/(1/(-20)) is divided by w(8)?
11
Let n be (-33)/(-9) + 1/3. Suppose -n = -3*c - 1. Calculate the remainder when 3 is divided by c.
0
Suppose -3 = -3*p + 9. Suppose 5*j = 5*s + 5, -3*s - 2 = -s - p*j. Let i = s + 23. What is the remainder when i is divided by 12?
10
Let t(y) = y**2 + 4*y + 3. Let c be t(-6). Suppose 0*v = 2*v. Calculate the remainder when 44 is divided by 2/(v + 2/c).
14
Let d = -4 + 0. Let f be (6 + -4)*(-46)/d. Let o = -13 + f. What is the remainder when 19 is divided by o?
9
Let r = -31 + 65. Let f(w) = -20*w**2 + 8*w + 17. Let t(c) = 7*c**2 - 3*c - 6. Let z(i) = -6*f(i) - 17*t(i). What is the remainder when r is divided by z(3)?
16
Let v = 8 - 8. Let m = 29 + v. What is the remainder when m is divided by 8?
5
Let q = -214 + 151. Let g = -43 - q. Let j = 17 + -10. Calculate the remainder when g is divided by j.
6
Suppose 5*o - 61 + 11 = 0. Calculate the remainder when o is divided by 5.
0
Let o = -13 - -48. Let u be 29 + (0 + 1)*-1. Let t = u - 16. Calculate the remainder when o is divided by t.
11
Suppose x - 5 = -4*q, 3*q - 2*q - 37 = -3*x. Let g = -21 + 20. What is the remainder when ((-153)/9)/(g/3) is divided by x?
12
Let h = 10 + -6. Suppose h = -3*s + 22. Calculate the remainder when 1 is divided by 6/(-4)*s/(-9).
0
Let a(j) = j**2 + 10*j + 1. Let d be a(-9). Let f = -3 - d. Suppose -4*l + 11 = 3. What is the remainder when f is divided by l?
1
Suppose -b = -3*p + 81, 0*p + 109 = 4*p - b. Calculate the remainder when 1/2*53*2 is divided by p.
25
Let o = 8 - 3. Suppose o*q - 46 = -k + 36, 0 = -4*k - 12. Let r(t) = -t + 3. Calculate the remainder when q is divided by r(-3).
5
Suppose -32 = -4*c + 28. Suppose o - 3 = 3*r, 4*o + o = 2*r + c. Suppose 2*x + 3*x - 20 = 0. What is the remainder when x is divided by o?
1
What is the remainder when (59*-1)/((-28)/8 - -3) is divided by 31?
25
Let d(n) = 5*n - 2. Let r be d(2). Let q = -5 + r. What is the remainder when 5 is divided by q?
2
Suppose 3*s = 133 - 10. What is the remainder when s is divided by 22?
19
What is the remainder when 58 is divided by (1/(-3))/((-6)/360)?
18
Let b = -12 + 15. Suppose b*f - 2*f = 8. Suppose -5*k + 58 = -57. What is the remainder when k is divided by f?
7
Let j be 0 - (0 - -1 - 2). Let n(c) = -c + 5. Let f be n(6). Let s = j - f. Calculate the remainder when 2 is divided by s.
0
Let q(j) = -44*j - 91. Let u(f) = -f**2 - 5*f - 4. Let g be u(-3). Calculate the remainder when q(-3) is divided by (g + -1)*21/1.
20
Let f be (-123)/(-9) - (-4)/12. Calculate the remainder when (f/(-5))/((-5)/75) is divided by 9.
6
Suppose 21 = 5*w + 6. What is the remainder when w is divided by 1?
0
Suppose 0 = k - 5, -5*u + 7*k = 2*k + 15. Calculate the remainder when (17/3)/(u/6) is divided by 6.
5
Let a be (-4)/(-22) - (-155)/55. Suppose 33 = -a*b + 6*b. Suppose -2*s + 128 = 2*s. Calculate the remainder when s is divided by b.
10
Let n = 56 + -12. What is the remainder when n is divided by 12?
8
Let o = 105 - 36. Let l = o + -48. Calculate the remainder when 61 is divided by l.
19
Let i = 21 - 29. Let r(n) = 2*n + 11. Let x(t) = t + 6. Let m(p) = -3*r(p) + 5*x(p). Calculate the remainder when m(i) is divided by 2.
1
Let i(p) = -p**3 + 3*p**2 - p + 1. Let l be i(2). Suppose l*j - 97 = 4*d - 8*d, 29 = 2*d - 5*j. Calculate the remainder when d is divided by 8.
6
Suppose -5*k + g = -g - 166, -k + g = -32. Let z(q) = q**3 + 6*q**2 - 3*q - 1. Let h be z(-6). Let y = k - h. What is the remainder when y is divided by 6?
5
Let c(o) = -13*o + 2. Let s be c(-2). Calculate the remainder when 7/s - (-246)/8 is divided by 8.
7
Suppose 10 = 2*k + 3*k. Suppose 0*u - 10 = -u. Suppose h = -0*h + k*j + u, j = 2*h - 20. Calculate the remainder when h is divided by 4.
2
Calculate the remainder when (-8)/(-3)*18/24 is divided by 1.
0
Let o(j) = -3*j + 32. Let r(i) = i - 11. Let d(u) = 3*o(u) + 8*r(u). What is the remainder when 23 is divided by d(0)?
7
Suppose -4*k + l = -255 + 40, 5*k + 3*l - 290 = 0. Calculate the remainder when k is divided by ((-378)/72)/(3/(-8)).
13
Let w(y) = -y**2 + 14*y - 13. What is the remainder when w(11) is divided by 11?
9
Let u(b) = 2*b - 2. Calculate the remainder when u(4) is divided by -1 + (-6)/(-1 - 1).
0
Let p be 2 + (-2 - 28)/2. Let t = p - -27. Suppose 4*d + 3*c - 42 = 127, 5*d - 188 = 4*c. What is the remainder when d is divided by t?
12
Suppose 0 = -2*r + 2*p + p + 9, 0 = -r + 3*p. Calculate the remainder when 17 is divided by r.
8
Let x be -1 + (4 - (4 - 7)). Let s(o) be the first derivative of o**3/3 - 3*o**2/2 - 4*o + 2. Calculate the remainder when s(x) is divided by 8.
6
Let t = -24 - -49. Let k = -14 + t. Calculate the remainder when 21 is divided by k.
10
Suppose -2*w + 1 = -7. Let u = 8 - w. What is the remainder when 13 is divided by u?
1
Suppose b = n - 1 + 2, -3*n = 3*b - 33. Suppose 0 = i - b - 15. Calculate the remainder when 40 is divided by i.
19
Suppose -4*u + 2*s + 15 = -11, 2*s = -2*u + 22. What is the remainder when 22 is divided by u?
6
Suppose 62 = 5*w + 3*s, -3*w + 5*s = -0*s - 44. Let f = w - 24. What is the remainder when (f/1)/(1/(-2)) is divided by 12?
10
Suppose t - 31 - 66 = 0. Calculate the remainder when t is divided by 25.
22
Let k(y) = -y**2 - 15*y - 18. Calculate the remainder when 28 is divided by k(-13).
4
Let q = -61 - -69. Calculate the remainder when 35 is divided by q.
3
Calculate the remainder when 7 - (-3 + 3 + 2) is divided by 3.
2
Let m(x) = -x**2 - 6*x + 9. Let n be m(-7). Suppose -3*i - n*d + 29 = 2*i, 18 = 4*i - d. Calculate the remainder when i is divided by (2/2 - 4)/(-1).
2
Let f(j) = 5*j**2 - 2. Calculate the remainder when 34 is divided by f(2).
16
Let j = 106 - 53. Suppose 3*d + 93 = 5*z, -2*z - 2*d + 7*d + 41 = 0. Calculate the remainder when j is divided by z.
17
Suppose q = -0*q + 33. Calculate the remainder when 131 is divided by q.
32
Let a(h) = -h**2 - 4*h - 2. Let v be a(-2). Suppose r + 4 = 5*w + 17, -v*r - 4 = 5*w. Let p = 7 - w. Calculate the remainder when p is divided by 5.
4
Let o(j) = 2*j**2 - 10*j + 27. Calculate the remainder when o(6) is divided by 15.
9
Suppose 44 = 3*o + 8. Calculate the remainder when 21 is divided by o.
9
Let a(x) = 3 - 11*x**2 - 2*x - 4 + 72*x**2. Calculate the remainder when a(-1) is divided by 16.
14
Suppose -2*w + 1 = -1. What is the remainder when (3 - w)*(-10)/(-2) is divided by (-1 - 5)*(-3 - -2)?
4
Suppose 10*s - 57 = 7*s. Calculate the remainder when s is divided by 5.
4
Let t(q) = -5*q**3 - 4*q**3 + q + 1 - 25*q**3 + q**2. Let f be t(-1). Let o = 64 - f. Calculate the remainder when o is divided by 10.
9
What is the remainder when (-3 - -3) + 101 + 3 is divided by 21?
20
Suppose 9 = 3*q, h - 2*q - 3*q + 11 = 0. What is the remainder when h is divided by 3?
1
Suppose 10*x = -15 + 135. Calculate the remainder when 83 is divided by x.
11
Suppose -5*r - 4*u + 103 = 0, -5*r - 3*u + 82 = -r. Calculate the remainder when 35 is divided by r.
16
Suppose -10*g = 4*g - 196. What is the remainder when 96 is divided by g?
12
Suppose -4*t + 27 = 3. Let f = -9 + 9. Suppose -3*o + f*o + 48 = 0. Calculate the remainder when o is divided by t.
4
What is the remainder when (402/(-9))/((-8)/12) is divided by 36?
31
Let h = -13 + 9. Let x = -1 - h. Calculate the remainder when 11 is divided by x.
2
Let l be 2/(10/(-9))*-5. Suppose l = 2*w + w. Calculate the remainder when (-37)/1*(2 - w) is divided by 19.
18
Suppose -d - 2*x = -6 - 16, 3*x + 2 