1
Suppose 16 = 5*n - 9. Let y(p) = p + 12. Calculate the remainder when y(-4) is divided by n.
3
Let p(w) = -w - 20. Let y be p(-6). Let h = y + 63. Calculate the remainder when h is divided by 26.
23
Let y be 10/25 + (-136)/(-10). Suppose -3*q - y = -50. What is the remainder when 45 is divided by q?
9
Suppose 17*s - 15*s = -4*n + 28, -4*s = n - 42. Let u = -25 + 51. Calculate the remainder when u is divided by s.
6
Let c(r) = r**2 + r - 1. Let o(m) = m**3 + 5*m**2 + 8*m - 3. Let l(s) = -c(s) - o(s). What is the remainder when l(-4) is divided by (1/(-1))/((-1)/5)?
3
Let v(o) = -o**3 + 2*o**2 + o + 3. Let x be v(3). Let z = 0 - -6. Let q = z + x. What is the remainder when 8 is divided by q?
2
Let c(m) = -7*m - 10. Calculate the remainder when 33 is divided by c(-4).
15
Let a(g) = -g**3 + g**2 + g + 25. What is the remainder when 47 is divided by a(0)?
22
Let j be ((-429)/12)/(2/8). Let x = -102 - j. What is the remainder when x is divided by 28/6*3/1?
13
What is the remainder when 78 is divided by (-4 + 64/20)*-25?
18
Suppose -4*n + 96 = -0*n. What is the remainder when n is divided by 13?
11
Let x = -6 + 69. What is the remainder when x is divided by 33?
30
Suppose 2*j - 46 = -8. Calculate the remainder when j is divided by 6.
1
Suppose 7 = 2*l - 7. What is the remainder when 11 is divided by l?
4
Let q be ((-4)/(-3))/((-18)/(-27)). Calculate the remainder when 4 is divided by -1*(q - (-1 - -5)).
0
Let q(w) = w + 1. Let c(r) = -4*r - 18. Let f(l) = -c(l) - 5*q(l). What is the remainder when f(-10) is divided by 8?
7
Suppose 3*b - 23 - 43 = 0. Calculate the remainder when 63 is divided by b.
19
Let s = 30 + -7. Suppose 5*l - 54 = 11. What is the remainder when s is divided by l?
10
Let y = -129 - -72. Let o = y + 154. Calculate the remainder when o is divided by 25.
22
Let s(v) = v**2 - 1. Let d = -12 - -8. Calculate the remainder when s(d) is divided by 2/(-8) + (-132)/(-16).
7
Let r(w) = -28*w - 1. Let u be r(-1). Let o = 39 - u. Calculate the remainder when 34 is divided by o.
10
Suppose -8 = 37*w - 41*w. What is the remainder when 8 is divided by w?
0
Let y be -1*39/9*-6. Suppose 23 = 3*v - q - y, -4*v + q = -64. Let d = 65 + -37. What is the remainder when d is divided by v?
13
Let a(o) = -o**2 + 5*o + 3. Let w be a(4). Let z = 15 + w. What is the remainder when z is divided by 8?
6
Let n(x) be the second derivative of x**5/20 - 13*x**4/12 + 8*x**2 - 4*x. What is the remainder when n(13) is divided by 9?
7
Let p = -43 + 64. Calculate the remainder when 41 is divided by p.
20
Suppose 56 = 5*z + 2*m, 3*z - 7*z + 2*m + 52 = 0. Let p be (-2)/(-8) - 3/z. Let g = 2 - p. What is the remainder when 2 is divided by g?
0
Suppose p + 3*n + 10 = 0, 1 = p - n - 9. Let i(x) = 12*x**3 + x - 1. What is the remainder when i(1) is divided by p?
2
Let y be ((-2)/1)/(0 - 1). What is the remainder when 37 - ((y - 6) + 4) is divided by 13?
11
Let f(z) = z**2 - 13*z - 6. Let q be f(15). Let j = q + 3. What is the remainder when 79 is divided by j?
25
Let h = 312 + -210. Calculate the remainder when h is divided by 15.
12
Let y = 111 + 19. Suppose 2*o = 4*o - y. Calculate the remainder when o is divided by 17.
14
Calculate the remainder when (-2)/4*(-172)/2 is divided by (-366)/(-24) + 2/(-8).
13
Suppose 0 = -7*p + 2*p + 50. Suppose 145 = 4*f - 59. Suppose 2*y = -3*c - 6 + f, -2*y + 5*c + 21 = 0. Calculate the remainder when y is divided by p.
8
Suppose 2*n + 51 = 5*n. Suppose -5*f = -303 + 58. Calculate the remainder when f is divided by n.
15
Let w = 4 + 0. What is the remainder when (-2)/(-6) + (-145)/(-15) is divided by w?
2
Let k(n) = -n**2 + 11*n + 29. Calculate the remainder when 133 is divided by k(12).
14
Let s(o) = o**3 + 7*o**2 + 4*o + 5. Let d be 2/8*(-5 - -169). Let j = -9 + d. What is the remainder when j is divided by s(-6)?
15
Let x = 13 - -42. What is the remainder when 29 is divided by ((-66)/x)/((-3)/20)?
5
Let i = -4 - -6. Suppose 0 = -5*z + 3*z - 4*q + 144, 230 = 3*z - q. Suppose 3*s - z = i. What is the remainder when s is divided by 14?
12
Let t be 2 - (-5)/(-2)*2. What is the remainder when 12 is divided by (0 + -1)/t*21?
5
Suppose -4*m + 32 = -3*m. Let g(u) = -8*u + 1. What is the remainder when m is divided by g(-2)?
15
Let g(z) = z**2 - 7*z + 3. Let y be g(6). Calculate the remainder when 3 is divided by ((-6)/y)/(-1) - -3.
0
Let d = -1 - 3. Let g(r) = r**3 + 4*r**2 - r - 3. What is the remainder when 1 is divided by g(d)?
0
Let v(b) = b**2 + b + 9. Let n be v(0). Let o = n + 30. Calculate the remainder when o is divided by 10.
9
Suppose -3*b + 101 = 4*x, 1 + 11 = b - 3*x. What is the remainder when 79 is divided by b?
25
Let l be (9/4)/(2/32). Suppose -8 = -5*h + 2*u, 3 = 2*h + 3*u - 4. Suppose -j + l = h*j. Calculate the remainder when 35 is divided by j.
11
Let l(q) = q**3 + q**2 - 4*q + 13. Calculate the remainder when 69 is divided by l(3).
32
Suppose 631 = 5*l + 201. What is the remainder when l is divided by 22?
20
What is the remainder when 23 is divided by 8/24 + (-34)/(-6)?
5
Let j(v) = v + 7. Suppose -6 = -c - 0*c. Suppose 2*t = -2*t + 28. What is the remainder when j(c) is divided by t?
6
Let i = 8 + -5. Let m(n) = -i*n - 3 + 1 + 0*n - 2. Calculate the remainder when 20 is divided by m(-5).
9
Let i(b) = 2*b**2 + 7*b - 7. Calculate the remainder when i(-6) is divided by 3/12 - 70/(-8).
5
Let v be (-1)/(-2) - 3/(-2). Suppose 0*s = v*s - 6. What is the remainder when 12/(-9)*(5 + -11) is divided by s?
2
Let r(k) = -k. Suppose 0 = 5*o - 4*o + 2. What is the remainder when (1 - -1)*7/2 is divided by r(o)?
1
Let c(l) = -l**3 - 11*l**2 - 10*l + 6. Let p be c(-10). Suppose x - p*x + 45 = 0. What is the remainder when 25 is divided by x?
7
Suppose z - 2*z = -2. Suppose -z*j = 2*j - 52. What is the remainder when 36 is divided by j?
10
Suppose 30 = 4*y - 9*y. Let a(l) = -l - 4. Let r be a(y). Suppose 3*b - 9 = z, -r*z - 4*b + 9 = -23. Calculate the remainder when z is divided by 2.
0
Let g(a) = a**3 + a**2 - a - 1. Let s be g(0). Let i = 11 - s. Calculate the remainder when 34 is divided by i.
10
Let g = 17 - 5. Let f be (g/15)/((-2)/(-310)). Suppose 0 = 4*c + r - f, -2*c + 5*r = -c - 10. Calculate the remainder when c is divided by 16.
14
Let z = -24 + 32. Calculate the remainder when 22 is divided by z.
6
Let u(t) = 21*t**2 + 3*t - 2. Suppose 0 = -2*i - 4*d + 60, 5*i + 0*d = 4*d + 150. Calculate the remainder when u(2) is divided by i.
28
Suppose 3*p + 3*q = -12, 2*p = -2*p + q - 1. Let n = p + 15. Calculate the remainder when 55 is divided by n.
13
Let g = -3 - 9. Let r = g - -8. What is the remainder when 1/r*-22*2 is divided by 6?
5
Let u = -49 - -61. What is the remainder when 58 is divided by u?
10
Let b be -1 - (-2)/(-3)*9. Let x be (-6)/21 + (-2)/b. Suppose i + 5*p - 33 = -x*i, p = 3*i - 163. Calculate the remainder when i is divided by 18.
17
What is the remainder when 23 is divided by 1/(-6) - (-37)/6?
5
Let y = 63 - 57. Calculate the remainder when 15 is divided by y.
3
Suppose -2*i + 39 = 3. Let d = 170 + -118. What is the remainder when d is divided by i?
16
Let d(k) = 30*k. Let q be d(-1). Calculate the remainder when (7 + -1)*(-25)/q is divided by 2.
1
Let b(f) = -f**2 - 9*f. Let z be b(-9). Calculate the remainder when 43 is divided by 33*(4/12 - z).
10
Let v(g) = -g**2 - 7*g - 3. What is the remainder when 35 is divided by v(-3)?
8
Let k = 21 - 4. What is the remainder when k is divided by 4?
1
Let m = -34 - -104. Calculate the remainder when m is divided by 12.
10
Let r be (-22)/(-26) + 8/52. Suppose 5*t - r = 4. What is the remainder when 3 is divided by t?
0
Let b(r) = -r + 2. Let x be 1/(-1 - (-5 + 3)). Let v(c) = 21*c - 1. What is the remainder when v(x) is divided by b(-5)?
6
Calculate the remainder when ((-160)/14)/(22/(-77)) is divided by 10.
0
Suppose 54 - 18 = 4*g. Let u(n) = 3 - g + 3*n + 0*n. What is the remainder when 23 is divided by u(4)?
5
Suppose 52 = 4*t + 4*z, -4*t + 9*t = 4*z + 38. What is the remainder when t is divided by 5?
0
Let c = -4 - -7. Suppose 0 = 2*q - c*q + 89. Suppose -5*d + 21 + q = 0. What is the remainder when d is divided by 12?
10
Let c be (2 - 102)*(0 - 1). Suppose -5*a + 0*a = c. Let f = -5 - a. Calculate the remainder when 44 is divided by f.
14
Suppose -25*x = -2*x - 