
11
Let a(i) = 15*i**3 - i**2 + i + 2. Let y be a(2). Suppose o + l = -2*o + 90, y = 4*o - l. What is the remainder when o is divided by 8?
6
Suppose 0 = -7*y + 2*y + 130. What is the remainder when 51 is divided by y?
25
What is the remainder when 41 is divided by ((-10)/(-6) + -1)/(36/1242)?
18
Suppose 3*h + 2*h - 5*m = -5, 8 = 4*m. What is the remainder when 1 is divided by h?
0
Let w = 5 - -16. Suppose 7 = l + g, 4*g - w = -4*l + l. What is the remainder when 13 is divided by l?
6
Suppose 29*d - 25*d = 304. What is the remainder when d is divided by 20?
16
Let b = 45 + 4. Calculate the remainder when b is divided by 13.
10
Suppose -4*x + 20 = s - 0*s, 24 = 5*s + x. Suppose -s*z - 11 = -59. Calculate the remainder when 45 is divided by z.
9
Suppose 7*k + 35 = 2*k. Let y be 2/(-7) + (-30)/k. Suppose -y*o + 28 = -4. What is the remainder when o is divided by 5?
3
Let t = 13 - 22. Let i = -27 - t. Let j = -10 - i. Calculate the remainder when 22 is divided by j.
6
Suppose 2*a + 6 = -z, 3*z + a = z. Suppose -2*n = -u + 32, u - 2*n + 24 = z*u. Calculate the remainder when u is divided by 10.
8
Let t(d) = -d**3 + 3*d**2 - d + 4. Let z be t(3). Suppose -25 = -q - z. Let l = 221 - 175. What is the remainder when l is divided by q?
22
Let i = -3 + -3. Let z be (2/(-8))/(i/24). What is the remainder when 23 is divided by (182/(-7))/(z*-2)?
10
What is the remainder when 2/(-4) - (-188)/8 is divided by ((-4)/12)/((-2)/36)?
5
Suppose -43 = -5*f + 22. Let r(o) = o**3 - 12*o**2 - 13*o + 8. Calculate the remainder when 39 is divided by r(f).
7
Let g(z) = -3*z - 13. Let r be g(-12). Suppose r = b + 12. Calculate the remainder when 52 is divided by b.
8
Suppose -2*z + 44 = 2*z. Calculate the remainder when 42 is divided by z.
9
Suppose 3*j - 3 - 3 = 4*s, -4*j - 5*s = -8. Suppose -j*z + 9 = -11. What is the remainder when 18 is divided by z?
8
Let o = -17 + 17. Suppose -4*m - 108 + 388 = o. Calculate the remainder when m is divided by 18.
16
Suppose 2*g - 148 = -2*g. What is the remainder when g is divided by 10?
7
Calculate the remainder when -245*(-2)/20*6 is divided by 37.
36
Calculate the remainder when 35 is divided by (-10)/(-25)*5 + 17.
16
Let o = 5 + -7. Let z be 0 - 1/o*0. Suppose v - 8 - 11 = z. Calculate the remainder when v is divided by 7.
5
Let m be -2*1 + 0 + 6. Suppose -m*k - 2 - 106 = 0. Let n = k + 67. Calculate the remainder when n is divided by 14.
12
Suppose q = 3*q + p - 58, 4*q - 3*p - 126 = 0. Let d = -17 + q. Suppose 0*a + 4 = a. Calculate the remainder when d is divided by a.
1
Let d(v) be the third derivative of -v**6/120 - 4*v**5/15 - 19*v**4/24 - 7*v**3/6 - 5*v**2. Calculate the remainder when d(-15) is divided by 14.
11
Suppose -2*z = -3*c + 8*c - 11, 2*c = -2*z + 2. Let l = 2 - z. Let g = 5 + 1. Calculate the remainder when g is divided by l.
2
Let a(c) = 3*c**2 - 9*c - 11. What is the remainder when 35 is divided by a(5)?
16
Let o = -13 + 91. Calculate the remainder when (-1)/(3 - 237/o) is divided by 7.
5
Suppose 5*c + 50 - 327 = 2*x, c = 2*x + 57. Calculate the remainder when 42 is divided by (c/15)/(1/3).
9
Suppose 3*h = -5*m + 3 + 20, 0 = 4*m + h - 24. Suppose -a = -2*j - 0*a + 42, 48 = 2*j - 4*a. Calculate the remainder when j is divided by m.
6
Suppose -5*d + 79 = -116. What is the remainder when d is divided by 10?
9
Let m = 13 - 8. Suppose -2*c - 14 = -40. What is the remainder when c is divided by m?
3
Let j(z) = -z**2 - z - 3. Let v be j(0). Let k(q) = -q**2 + 11*q + 7. Calculate the remainder when k(6) is divided by 39/v*(2 - 3).
11
Suppose 4*a - k + 6*k = 9, -3*a + 6 = 4*k. Calculate the remainder when 118 is divided by a.
4
Suppose 14 = -4*x - 3*r, 12 = -x + 3*r + 1. Calculate the remainder when x/((-15)/9) - -41 is divided by 15.
14
Suppose 0*o - 31 = -4*o - 3*g, -3*o + 4*g + 42 = 0. Let l = 1 - 0. Calculate the remainder when o is divided by 9*l - 1 - 2.
4
Suppose 0 = 3*s - 4*b - 1 - 1, 0 = -4*s - 2*b + 10. Suppose s*m - 36 = -0*m. Calculate the remainder when (-3)/(-2) - (-63)/m is divided by 3.
2
Suppose -36 = -2*l - 2*l. Let p(x) = 2*x**3 + 2*x**2 - 1. Calculate the remainder when l is divided by p(1).
0
Suppose -v = -0*v - 17. What is the remainder when (-1 - -2)*-1*-33 is divided by v?
16
Suppose 2*p = -2*p + 3*a + 20, 3*a = 2*p - 16. Suppose p*q - 5 - 25 = 0. Calculate the remainder when 28 is divided by q.
13
Suppose 2*x + 24 = 4*x. Suppose -5 = -v - 1. Suppose -170 = -o - v*o. What is the remainder when o is divided by x?
10
Let d(z) = 2*z - 3. Suppose -11 = -2*w - 2*x + 3*x, 4 = 4*x. What is the remainder when 26 is divided by d(w)?
8
Let x(a) = -a**3 + 3*a + 3. Let c be x(-2). Let l be (c - -17) + (0 - 1). Let j = l - 4. What is the remainder when 49 is divided by j?
15
Let y(i) = 5*i**3 + 2*i**2 - 2*i + 1. Let c be y(1). Let f = 4 + c. What is the remainder when f is divided by 4?
2
Let k(c) = -c + 10. Let n(y) = y - 11. Let b(m) = 3*k(m) + 2*n(m). What is the remainder when 14 is divided by b(4)?
2
Suppose -3*u - 72 = -3*h, 117 = 5*h - 2*u - 0*u. Calculate the remainder when h is divided by 12.
11
Let m = -40 - -74. Calculate the remainder when 101 is divided by m.
33
Suppose -u = 0, 10*z - 145 = 5*z + 3*u. Calculate the remainder when z is divided by -2 + (-2 - -2) + 12.
9
Suppose 0*a - 96 = 3*s - 2*a, -96 = 3*s + 5*a. What is the remainder when 0 - (s + 1 - -2) is divided by 8?
5
Let c = 50 + -28. What is the remainder when c is divided by 10 + (4/(-1) - -2)?
6
Suppose 5*r - 4*b + 440 = 0, -5*r - 440 = b + 4*b. Let z = -39 - r. Calculate the remainder when z is divided by 25.
24
Suppose -4*m = -5*k - 6, 4*m + 2*k + 3 = -5. What is the remainder when 56 is divided by (-15)/((-4 - -5)/m)?
11
Suppose 4*u + 8 = -0*u, 2*u = -3*i - 4. Suppose 10*l - 6*l - 24 = i. Suppose 0 = -g + 2. Calculate the remainder when l is divided by g.
0
Let d = 19 + 6. Suppose 31 = 4*p - d. What is the remainder when 40 is divided by p?
12
Suppose 3*r = u + 1, 3*u + 3*r = -1 - 2. Let p(x) = 7*x**2 - x - 1. Calculate the remainder when p(u) is divided by 4.
3
Let z(p) = 4*p + 97. Calculate the remainder when 7 is divided by z(-23).
2
Suppose 0 = -f - 4*s + 80, -3*f - 4*s = -0*f - 224. Suppose 8*n = 2*n + f. Calculate the remainder when 35 is divided by n.
11
What is the remainder when ((-10)/(-8))/(7/196) is divided by 9?
8
Let m(i) = -6*i**3 + 3*i**2 - i + 8. Let n(u) = 5*u**3 - 4*u**2 + 2*u - 8. Let o(y) = -4*m(y) - 5*n(y). Calculate the remainder when 28 is divided by o(7).
13
Suppose -8 = -3*s + 34. Let a = 25 - s. What is the remainder when 20 is divided by a?
9
Let d = -1 + 8. Calculate the remainder when 21 + -5 + (-9)/(-3) is divided by d.
5
Suppose 0 + 5 = -5*o. Let d = 2 - o. What is the remainder when 6 is divided by d?
0
Suppose 14 = 3*y + 4*v - 12, -5*y + 2*v = 0. Suppose 3*a + 3*i = 18, -3*a + 3*i + 2 = -2*i. Calculate the remainder when a is divided by y.
0
What is the remainder when (-134)/12*-10 + 2/6 is divided by 19?
17
Let b be ((-1)/3)/((-1)/3). Let g(h) = 31*h**2 + 3*h - 2. Calculate the remainder when g(b) is divided by 11.
10
Let u be 1 - (-5 - (-2 - 0)). Suppose 120 = -p - u*b, -4*b = -5*p + b - 550. What is the remainder when (1/2)/((-4)/p) is divided by 5?
4
Let a be 4/(-14) + (-2)/(-7). What is the remainder when (0 + a - -2) + 26 is divided by 10?
8
Let u = -134 + 162. Calculate the remainder when 103 is divided by u.
19
Suppose 4*z = -19 + 131. Suppose -2052 = -55*b + 17*b. Calculate the remainder when b is divided by z.
26
Suppose 3*g = -9 + 24. Let v(p) = -6*p - 11. What is the remainder when v(-4) is divided by g?
3
Let n(g) = 6*g - 1. What is the remainder when 116 is divided by n(3)?
14
Suppose 3*i - 28 + 5 = -2*p, 0 = -5*i - 3*p + 39. Suppose -48 = -4*u + 12. Calculate the remainder when u is divided by i.
6
Let d(a) = 2*a + 21. What is the remainder when d(8) is divided by 5?
2
Let q = 23 - 9. Suppose -q = -2*x - 2*f, 4*f + 4 + 4 = 0. What is the remainder when 17 is divided by x?
8
Suppose -2*w - 3*l = -106, 0*w - 4*w - 2*l = -196. Calculate the remainder when w is divided by 5.
2
Suppose 3*b = 2*q + 195, b - q = 4*b - 195. Calculate the remainder when b is divided by 34.
31
Suppose -2*t + 90 = -3*h - h, -174 = -4*t + 2*h. What is the remainder when t is divided by 3 + 18/(-5) - (-580)