y + o + 222 = 2*o. Calculate the remainder when ((-36)/y)/((-4)/(-10)) is divided by ((2 + -3)*2)/(-2).
0
Let o(q) = -q**2 - 10*q + 4. Let r be o(-10). Suppose 0 = -3*t + 16 - r. What is the remainder when 6 is divided by t?
2
Let k(q) = q + 14. What is the remainder when k(0) is divided by 10?
4
Suppose -v + 54 = q - 5*v, -3*q - 4*v + 114 = 0. Calculate the remainder when q is divided by 150/14 - 4/(-14).
9
Let d be 4 + 0 + (-2 - -1). Suppose p + o = 14, -d*p - o + 45 = 7. Suppose g - p = -5. Calculate the remainder when 19 is divided by g.
5
Let z(t) = t**3 + 3*t**2 - t + 1. Let g(y) = y**2 + 2*y + 4. Calculate the remainder when g(-3) is divided by z(-3).
3
Let a be -2 + (-22 + -1 - 0). Suppose 0 = 2*t - 5*t - 27. Let f = t - a. Calculate the remainder when 46 is divided by f.
14
Let x = -4 + 3. Let z(p) = -4*p**2 - 1 - 2*p - 5*p**3 + 4*p**2 - 2*p**2. Calculate the remainder when 11 is divided by z(x).
3
Let m = 11 + 4. What is the remainder when 24 is divided by m?
9
Let d = 141 + -70. What is the remainder when d is divided by 21?
8
Let w = -43 - -86. What is the remainder when w is divided by (-176)/32*(-4 - -2)?
10
Suppose -3*c = -0*b + 3*b - 120, -2*b = 5*c - 92. Calculate the remainder when b is divided by 10.
6
Let x(d) = d**2 - 4*d - 3. What is the remainder when (2/(3 - 1))/((-1)/(-2)) is divided by x(5)?
0
Let d(a) = -7*a**3 - 2*a**2 - 2*a - 1. Let i be d(-1). Let y(c) = c - 4. Let u be y(i). Suppose -u*q + 3*q = 2. Calculate the remainder when q is divided by 2.
0
Suppose 0*t - c + 40 = 4*t, 50 = 5*t - 2*c. What is the remainder when 7 - 11 - (-1 - 22) is divided by t?
9
Let t = -4 - -11. Suppose -5*z - 10 = -3*z. Let g = z + t. Calculate the remainder when 2 is divided by g.
0
Let w(r) = r**3 - 7*r**2 + r - 7. Let l be w(7). Suppose -k = -4 - l. Suppose o + 111 = 3*x + 4*o, -o + k = 0. Calculate the remainder when x is divided by 18.
15
Suppose -63 = -w - 8. Calculate the remainder when w is divided by 19.
17
Suppose -5*j + 10 = 0, -4*i = -3*j - 10 + 4. Suppose -2*d - 30 = -6*d - i*a, 5*d - 2*a - 26 = 0. What is the remainder when d is divided by 3?
0
Suppose 0 = 6*a - 3*a + c - 73, -2*c = 2*a - 42. What is the remainder when a is divided by 9?
8
Let l(q) = -4*q - 7. What is the remainder when (2 - 0) + 45 + 2 is divided by l(-5)?
10
Let x = 24 - 17. Calculate the remainder when 27 is divided by x.
6
Suppose 0 = -8*d + 15 + 1. What is the remainder when 6 is divided by d?
0
Calculate the remainder when 2/(-6) - (-6080)/60 is divided by 26.
23
Let j = 116 - 72. Calculate the remainder when j is divided by 12.
8
Let k be (2/3)/(5/45). Suppose -5*n + 2*j + 20 = k, -4*n + 19 = j. Suppose n - 9 = -r. Calculate the remainder when 13 is divided by r.
3
Let y = -67 + 74. What is the remainder when 55 is divided by y?
6
Let m be (-1 - -3 - 2) + 52. Suppose -m = -2*z - 2*z. What is the remainder when (-2 - -22)*(-12)/(-10) is divided by z?
11
Let w(p) = -3*p + 24. Calculate the remainder when 23 is divided by w(5).
5
Suppose -2*x - 18 = -4*x - 2*k, 0 = 3*x + 5*k - 35. Suppose r - x = 3*h + 3, 5*h = -5*r. Let w = -1 + 3. What is the remainder when w is divided by r?
0
Let g = -4 + 120. Suppose g = 3*v + 3*k - 79, 2*k + 272 = 4*v. What is the remainder when v is divided by 6/(-27) - 836/(-36)?
21
Let q = -5 + 9. Suppose q = 2*j - 6. Calculate the remainder when 9 is divided by j.
4
Let s(i) = i**2 + 4*i - 1. Let p be s(-3). Let v(a) = 2*a**2 - 3*a - 6. Suppose 0*m + 39 = 3*m. Calculate the remainder when v(p) is divided by m.
12
Suppose 5*a + 50 = 130. Suppose 11*l + 85 = a*l. Calculate the remainder when 31 is divided by l.
14
Let y = -18 + 31. Let n = 5 + 33. What is the remainder when n is divided by y?
12
Let a = 34 + 31. Let i(z) = z**3 - 9*z**2 + 10*z + 1. Calculate the remainder when a is divided by i(8).
14
Let i = 30 - 19. Calculate the remainder when 41 is divided by i.
8
Suppose -4*f = 20 - 68. What is the remainder when 22 is divided by f?
10
Suppose -2*h + 64 = 2*h + 3*c, -c = -2*h + 22. Let s(x) = -2*x - 11. What is the remainder when h is divided by s(-9)?
6
Suppose -5*f + 3 + 2 = 0. Suppose 0 = -4*l - 9 + 1. What is the remainder when 3 is divided by -1*1*l/f?
1
Let v(c) = c**3 - 4*c**2 + c - 3. Let a be v(4). What is the remainder when 21 is divided by (-11)/(-2)*(a + 1)?
10
Let p = -20 - -345. Suppose 5*c = -60 + p. What is the remainder when c is divided by 14?
11
Suppose -72 = -2*x + 5*x. What is the remainder when 13 is divided by ((-84)/x)/((-1)/(-2))?
6
Let m(i) = -i**2 + 10*i. What is the remainder when 79 is divided by m(8)?
15
Let s = -39 - -65. Calculate the remainder when s is divided by 7.
5
Let n be (-19 - -3)/(-2) - 4. Let i = n - -50. Calculate the remainder when i is divided by 19.
16
Suppose -4*n + 7 = 99. Let s = n + 41. Calculate the remainder when 33 is divided by s.
15
Calculate the remainder when 2/(-1 - (-7)/6) is divided by 4.
0
Let a(l) = l**3 + 5*l - 3. Calculate the remainder when a(4) is divided by 14.
11
What is the remainder when (188/6)/((-24)/(-36)) is divided by 16?
15
Suppose 3 - 11 = -2*v. Suppose -3*l + 5*l - 2*o - 86 = 0, 0 = v*o. Suppose -3*n - 4*i = -25, -n + i = 2*n - 50. What is the remainder when l is divided by n?
13
Calculate the remainder when 39 is divided by ((-8)/6*-15)/2.
9
Let u = 32 - 20. Let v(m) = m**3 - 11*m**2 - 12*m + 9. Calculate the remainder when v(u) is divided by 5.
4
Let p(d) = d**2 - 8*d + 19. Suppose -16 = -6*m + 2*m. What is the remainder when m is divided by p(4)?
1
Suppose -4 - 2 = -3*v. Let n(w) = 3*w**2 - 5*w + 5. What is the remainder when n(v) is divided by 2?
1
Let i = -52 + 60. Let p = 1 - -4. What is the remainder when i is divided by p?
3
Let y(k) = -3*k - 7. Let x be y(5). Let h be 4/(-4) - 8 - 2. Let v = h - x. What is the remainder when 20 is divided by v?
9
Let s(t) = 5*t - 3*t - t. What is the remainder when s(9) is divided by 4?
1
Let n = 89 + -87. Calculate the remainder when 11 is divided by n.
1
Let z(w) = 9*w - 1. Calculate the remainder when 2*1*87/6 is divided by z(1).
5
What is the remainder when 67 is divided by -1 + (15 + 2 - -1)?
16
Suppose 0 = j - 0*j - 9. What is the remainder when j is divided by 2?
1
Let h be (3 - 1)*-1*-2. Let n be (-18)/h*(-100)/15. Suppose -4*m = -5*p - 109, -4*p - 155 = -5*m - n. What is the remainder when m is divided by 11?
10
Let t(f) = f**3 - f**2 - f + 16. Let p(w) = w**2 - 3*w. Let y be (-6)/4*(1 - 3). Let h be p(y). Calculate the remainder when t(h) is divided by 9.
7
Let d = 80 + -62. What is the remainder when d is divided by 1?
0
Suppose -3*v - 76 = -3*b + v, -4*b - 2*v + 72 = 0. Calculate the remainder when (1 - 20)/(2/(-4)) is divided by b.
18
Let q(m) = m**2 + 4. Let t(z) be the third derivative of 23*z**5/60 - z**4/24 + z**2. Calculate the remainder when t(-1) is divided by q(3).
11
Suppose 120 = -0*t + 4*t. What is the remainder when (-1152)/(-20) - (-4)/10 is divided by t?
28
Let a = 20 - -33. What is the remainder when a is divided by 14?
11
Let a = 13 + -8. What is the remainder when 7 is divided by a?
2
Let l(x) = -2*x + 3. Suppose -3*b + 7*b = 4, 5*b = -2*t + 27. Let p = t - -20. Calculate the remainder when p is divided by l(-4).
9
Suppose 3*p = -5*d + 66, -5*p - 3*d - 2*d + 100 = 0. What is the remainder when p is divided by 5?
2
Calculate the remainder when 36 is divided by 4 - 0 - 6 - -15.
10
Let l(b) = -b - 7. Let o be l(-6). Calculate the remainder when (45/(-3))/3*o is divided by 3.
2
Let o(l) = l**2 - 6*l - 2. Let r be o(7). Suppose r*i - i + 3*w - 47 = 0, 5*i = -2*w + 64. Let t = 0 - -4. Calculate the remainder when i is divided by t.
2
Let h(r) = r**2 + 9*r - 12. Let a(c) = -2*c**2 - 19*c + 25. Let m(u) = -4*a(u) - 9*h(u). What is the remainder when 5 is divided by m(-6)?
1
Suppose 3*g - 2*w - 32 = 2*g, 2*g = w + 49. What is the remainder when g is divided by 8?
6
Let s = -23 + 30. Calculate the remainder when 12 is divided by s.
5
What is the remainder when (-6)/(-4)*(-10)/(-15)*101 is divided by 34?
33
Let b(h) = -h**2 - 5*h + 151. Calculate the remainder when b(0) is divided by 39.
34
Calculate the remainder when 23 is divided by 108/(-48)*8/(-3).
5
Let c = 95 - 64. Let j(s) be the third derivative of s**5/60 + s**4/12 - 4*s**3/3 + 2*s**2. What is the remainder when c is d