o = l + r. What is the remainder when o is divided by 4?
2
Suppose 3*w + 3*c - 5*c - 632 = 0, -1090 = -5*w - 4*c. Suppose -4*j - 9 = -41. Calculate the remainder when w/14 - 2/7 is divided by j.
7
Let i(q) = 5*q - 7. Suppose 2*u = p - 37, -4*p = -2*u + 3*u - 139. Calculate the remainder when p is divided by i(5).
17
Let m = 66 + -61. Calculate the remainder when m is divided by 2/6 - 14/(-3).
0
Suppose 5*j - 3*q - 23 = -5*q, 0 = -j - q + 7. What is the remainder when 3 is divided by j?
0
Let i(b) = b**3 - 6*b**2 + 9*b - 4. What is the remainder when i(7) is divided by 11?
9
Suppose -5*t + 240 = 5*c, -4*t = 5*c - 39 - 154. Suppose -3*k + 9 = -6. Calculate the remainder when t is divided by (-2)/k - 246/(-15).
15
Suppose -a = 3 - 2. Calculate the remainder when 2 is divided by (-4)/a + (-2)/1.
0
Suppose 3*b - 72 = -0*b. Let k(p) = -2*p**2 - 20*p - 19. Calculate the remainder when b is divided by k(-8).
11
Suppose 5*l - 328 = -98. What is the remainder when l is divided by -2*2/2 + 14?
10
Let s(y) = y**2 + 12*y - 17. Calculate the remainder when s(-16) is divided by 12.
11
Let z(y) = -6*y + 6. Let w be z(7). Let x = 51 + w. Suppose i - x + 4 = 0. Calculate the remainder when i is divided by 7.
4
Let t = -128 - -355. Calculate the remainder when t is divided by 19.
18
Let h be -2 + -2 + -1 + 9. Let n(r) = r**2 - 4*r + 2. Calculate the remainder when 10*h*(-2 - -3) is divided by n(6).
12
Let c = -77 + 174. What is the remainder when c is divided by 25?
22
Let z = 12 + -10. What is the remainder when z is divided by 2?
0
Let t(k) be the third derivative of 5*k**4/24 + k**3/3 - k**2. Calculate the remainder when t(7) is divided by 19.
18
Let z(p) = p**2 - 2*p + 1. Let w be (-3990)/(-18) - (-1)/3. Calculate the remainder when z(-2) is divided by (-4)/14 + w/42.
4
Let z(l) = 2*l**2 - 11*l + 15. Let f(m) = -m**2 + 5*m - 7. Let q(t) = -9*f(t) - 4*z(t). Calculate the remainder when 44 is divided by q(4).
14
Let f(g) = g**3 + 6*g**2 - 5*g - 2. Let y be f(-6). Let u = -10 + y. Let a = 71 - 36. What is the remainder when a is divided by u?
17
Suppose 0 = -2*q - 3*d + 114, -d + 2*d - 311 = -5*q. Calculate the remainder when q is divided by 13.
11
Suppose 66 = 5*n - 2*n. What is the remainder when 87 is divided by n?
21
Suppose 0 = -m - 7 + 12. Let k = -4 + 17. Calculate the remainder when k is divided by m.
3
Let a = 5 - -6. What is the remainder when 18 is divided by a?
7
Calculate the remainder when 16 is divided by -2 - -12*8/12.
4
Suppose 4 = 5*m - m. What is the remainder when 1 is divided by m?
0
Suppose k - 3*k = -10. Let a(f) = f**3 - 4*f**2 - 5*f + 5. Calculate the remainder when 8 is divided by a(k).
3
Suppose 0*x = -5*x + 545. Suppose x + 92 = 3*m. Calculate the remainder when m is divided by 23.
21
Calculate the remainder when 31*4/8*4 is divided by 13.
10
Let a = -103 + 125. What is the remainder when 61 is divided by a?
17
Suppose 0 = 3*a - 7 - 5. Suppose a*x = -s + 3*s - 10, 5*x = -4*s + 72. What is the remainder when s is divided by (-4)/(-14) - (-47)/7?
6
Suppose -c - 4*x + 26 = -35, 106 = 2*c + 4*x. Calculate the remainder when c is divided by 8.
5
Suppose 2*k - 1 = -17. Let q(f) = -2*f + 1. Let y be q(2). Calculate the remainder when 17 is divided by (y/(-2))/((-2)/k).
5
Let t(x) = -x**3 + 4*x**2 + 7*x - 7. Calculate the remainder when t(5) is divided by 2.
1
Let t(n) = -n - 9. Let o be t(-11). Calculate the remainder when (9/(-2))/(o/(-12)) is divided by 14.
13
Suppose 0*p + p + 4 = 0. What is the remainder when (98/p)/(1/(-2)) is divided by -2*57/(-6) - 2?
15
Suppose h - 2 = l - 0, 2*l - 4*h + 10 = 0. Let r be l*0*(-1)/3. Calculate the remainder when 14 is divided by (-12)/(r + 9/(-6)).
6
What is the remainder when 30 is divided by 3/(-9)*-57 - 2?
13
Suppose 3*m = 30 + 51. Let k(p) = -4*p - 1. Let d(r) = -25*r - 7. Let n(c) = 6*d(c) - 39*k(c). Calculate the remainder when m is divided by n(3).
12
Let g(q) = q**3 - q**2 + 1. Calculate the remainder when 74 is divided by g(3).
17
Let b(w) be the second derivative of w**4/3 + w**3/2 + w**2/2 - 3*w. Calculate the remainder when 19 is divided by b(-2).
8
Suppose 11 = 3*m + 2. Suppose 2*z + 10 = 3*l - 15, l - 13 = m*z. Let h = -5 + 8. What is the remainder when l is divided by h?
1
Let u = -120 + 173. What is the remainder when u is divided by 14?
11
Suppose -3 + 0 = -p, -2*v + 4*p = -46. What is the remainder when v is divided by 8?
5
Calculate the remainder when 95 is divided by 4 - (-2 - 78/3).
31
Suppose -44*t = -41*t - 81. What is the remainder when 52 is divided by t?
25
Let i(l) = l + 1. Let j be i(2). Suppose -7*v - 7 = z - j*v, -2*z - v - 7 = 0. What is the remainder when 16 is divided by (-4)/6 - 20/z?
4
Let j(v) = 2*v**2 - 2*v + 1. Let i be j(2). Suppose -5*z + 89 = 2*d, 3*z = -0*z - i*d + 61. Calculate the remainder when 49 is divided by z.
15
Suppose -5*d + 3*o - 2 = o, 2*d + o = -8. Let s = 5 + -2. Calculate the remainder when 37 is divided by s/(-6) - 27/d.
11
Suppose -3*i = -435 + 126. Calculate the remainder when i is divided by 35.
33
Let k(v) = 2*v**2 + 7*v + 2. Let m(l) = l + 27. Calculate the remainder when k(-6) is divided by m(-10).
15
Let p = 19 - 8. Let s(h) = 3*h**3 - 4*h - 4*h**2 + 2*h**3 - 4*h**3 + 1. What is the remainder when p is divided by s(5)?
5
Suppose 4 = 4*y - 12. What is the remainder when 8 is divided by y?
0
What is the remainder when (-2)/(10/(-105) + 0) is divided by 13?
8
Let u(f) = f + 4. Let c(i) = i + 6. Let b be c(-3). What is the remainder when 20 is divided by u(b)?
6
Suppose -68*l = -66*l - 46. Let t = 0 + 0. Suppose t = -3*v + 3 + 21. What is the remainder when l is divided by v?
7
Let p(k) = k**3 + 6*k**2 + 6*k + 7. Let o be p(-5). Suppose -o*y + y = -11. What is the remainder when 32 is divided by y?
10
Suppose 0*o - 17 = -o. Calculate the remainder when o is divided by 5 + 1 + -1 + 1.
5
What is the remainder when (-1)/((-2)/12)*7 is divided by 11?
9
Suppose 5*u = 4 + 56. Calculate the remainder when 2/4 - 0 - (-1340)/40 is divided by u.
10
Suppose 0 = -16*t + 1521 - 321. Let u = -19 + 38. Calculate the remainder when t is divided by u.
18
Suppose 0 = -4*k + 7*k - 39. Suppose -2*b - 5*q = -115, 93 + 54 = 3*b - q. Calculate the remainder when b is divided by k.
11
Suppose -h = -5*y + 102, 2*y - 3*h = 32 + 14. Let g(m) = -11*m**3 + m**2 + m. Let a be 4/(1 - -1) + -3. What is the remainder when y is divided by g(a)?
9
Let g = -1 + 10. Calculate the remainder when g is divided by 4.
1
Suppose 2*l = 3*l - 4. Suppose l - 14 = n. What is the remainder when n/(-65) + 1920/26 is divided by 25?
24
Suppose -2*f - 3*x + 12 = 0, -x = 4*f - 4*x - 6. Suppose -65 = 2*l - f*l - 2*p, -5*l + p + 336 = 0. What is the remainder when l is divided by 23?
21
Let u(z) = 15*z**3 - 3*z**2 + 2*z - 1. What is the remainder when 62 is divided by u(1)?
10
Let n(i) = -i**2 + 6*i - 4. Let r be n(5). Let f(t) = 20*t + 1. Calculate the remainder when f(r) is divided by 12.
9
Let b(f) = 7*f**3 + f - 1. What is the remainder when 46 is divided by b(1)?
4
Let j(f) be the first derivative of -2*f**4 + f**2 + f + 1. Suppose m - 4*m - 3 = 0. Calculate the remainder when 13 is divided by j(m).
6
Suppose 4*b - 6*b - 10 = 0. Let k = b - -9. Suppose -3*h = -5*n - 35, h + k*n + 11 = -0*h. What is the remainder when 7 is divided by h?
2
What is the remainder when ((-275)/(-75))/(1/6) is divided by 12?
10
Calculate the remainder when 119/4 + (9/(-12) - 0) is divided by 16.
13
What is the remainder when 4 + (-182)/(-1 - 0) is divided by 47?
45
Let x = 44 + -25. Calculate the remainder when 31 is divided by x.
12
Let k(z) = z**2 - z + 5. What is the remainder when 150 is divided by k(4)?
14
Let v(o) = -o**3 - o**2 + o + 4. Suppose 9 = -3*h, q - 2*h + 49 = 6*q. Calculate the remainder when q is divided by v(0).
3
Let z be 1*4 + (2 - 4). Suppose -5*q + 4*s = -39, 3*s - z*s = 5*q - 51. Calculate the remainder when 20 is divided by q.
9
What is the remainder when 4/10 - (-1140)/25 is divided by 12?
10
Let i(f) = f**2 - 10*f + 34. Calculate the remainder when 47 is divided by i(9).
22
Suppose -3*a + 5 + 7 = 0. Suppose 0 = -p + 9 + a. Calculate the remainder when (-366)/(-10) - 4/(-10) is divided by p.
11
Let i = 14 + 2. What is the remainder when i is divided by ((-3)/4 + 3)/((-6)/(-16))?
4
