lculate the remainder when 4 is divided by c.
0
Suppose -64 = -7*c - 8. Let l(j) = -7*j + 1. What is the remainder when l(-4) is divided by c?
5
Let p = -66 + 70. Calculate the remainder when 18 is divided by p.
2
Suppose 4*i - 39 - 1 = 0. Suppose 65 + 3 = 4*h. Suppose s - h = 3*f, -2*s + f + 25 = -s. What is the remainder when s is divided by i?
9
Suppose 24*v - 29*v - 50 = 0. Let u(q) = -q**2 - 13*q - 15. Calculate the remainder when u(v) is divided by (-2)/8 - 66/(-8).
7
Suppose -q = -3*o + 4*q, 0 = -2*o + q + 7. Suppose -5*z + 90 = g, 3*g = z + 2*g - 12. Calculate the remainder when z is divided by o.
2
Suppose -g + 9 = -0*g. Calculate the remainder when 35 is divided by g.
8
Suppose 5*f - 59 - 26 = 0. Let q(a) = -a**2 + 9*a - 9. Calculate the remainder when f is divided by q(6).
8
Calculate the remainder when 17 is divided by 1/(-2) - (-1)/(6/27).
1
Let c(h) = h**3 + 10*h**2 + 7*h - 4. Let m(p) be the first derivative of -5*p**2/2 + p + 1. Let k be m(2). Calculate the remainder when 40 is divided by c(k).
12
Suppose 0 = s - 4*s. Suppose -k = -4*k + z + 33, -3*k - 5*z + 15 = s. Calculate the remainder when 1*31 + 3 + -5 is divided by k.
9
Let z(r) = 3. Let n(d) = d + 2. Let c(x) = 3*n(x) - z(x). What is the remainder when 43 is divided by c(4)?
13
Suppose 3*u - 26 = 16. Let b = -65 - -105. What is the remainder when b is divided by u?
12
Suppose 0 = 5*s + 3*y + 1234, 3*y - 517 = 5*s + 699. What is the remainder when 53 is divided by s/(-14) + (-2)/(-4)?
17
What is the remainder when (-1)/(3*(-4)/2268) is divided by 48?
45
Let t = -3 + 6. Suppose -t = 4*v - 5*v. Suppose -r - 2*m - 9 = 0, m = -r - v - 1. What is the remainder when 1 is divided by r?
0
Let p = 62 + -38. What is the remainder when ((-38)/3)/(2/(-12)) is divided by (0 + 1 - -1) + p?
24
Suppose 0 = -11*a - 11 + 132. What is the remainder when 130 is divided by a?
9
Let i(d) = d**2 - d + 7. What is the remainder when i(6) is divided by 12?
1
Suppose 99 = 6*b + 5*b. Calculate the remainder when b is divided by 3.
0
Let d(z) = z**2 + 8*z + 6. Let m be d(-5). What is the remainder when 10 is divided by (-6)/m*(-18)/(-3)?
2
Let r = 225 - 155. Suppose 1018 - 1066 = -2*q. What is the remainder when r is divided by q?
22
What is the remainder when 1*(-2)/10 + 3456/80 is divided by 12?
7
Suppose -k + 8 = -4*w, -6 - 46 = -3*k + 5*w. Suppose -10 = s + 5*r, r + k = 3*s - 2*r. What is the remainder when 8 is divided by s?
3
Suppose 265 = 5*p - 100. What is the remainder when p is divided by 15?
13
Suppose 5*k + 15 = 0, 62 = 4*a - 5*k - 5. What is the remainder when 37 is divided by a?
11
Let r(w) = -w**2 + 16*w - 8. Calculate the remainder when r(9) is divided by 14.
13
Suppose 2*r = g - 6 - 1, 2*r = 6. Let a = 91 - 56. What is the remainder when a is divided by g?
9
Suppose -2*q + 3*q + 4*m = 38, q - 5*m = -7. What is the remainder when 35 is divided by q?
17
Let y(q) = q**2 - 9*q - 4. Let k be y(11). Suppose 5*n - k - 87 = 0. Calculate the remainder when 41 is divided by n.
20
Let r be 6/(-8) - (-21)/(-4). Let g be (-7)/(-3) - 4/r. Suppose -2*s = 3*s - g*i - 154, -2*i + 4 = 0. Calculate the remainder when s is divided by 11.
10
Let f be (-2)/(-7) - 26/(-7). Suppose 3*y + 14 + f = 0. What is the remainder when 25 is divided by 52/6*y/(-4)?
12
What is the remainder when 44 is divided by 15 - (1 + (-6)/3)?
12
Let m(a) = a**3 + 10*a**2 + 5. Let h be m(-10). Suppose 0 = h*k - k - 252. Calculate the remainder when k is divided by 16.
15
Let k(j) = 2*j**2 + 8*j - 46. What is the remainder when 174 is divided by k(5)?
42
Suppose 5 - 44 = -3*b. What is the remainder when 24 is divided by b?
11
Let k = -24 + 41. Let f = k + -7. What is the remainder when 30 + -1*1*1 is divided by f?
9
Let v be (-1)/(-5) - 10/50. Suppose v = 3*u - 107 - 154. Calculate the remainder when u is divided by 22.
21
Suppose 9*q - 43 + 7 = 0. What is the remainder when 47 is divided by q?
3
Let i(a) = -10*a + 1. Let t be i(-5). Suppose 2*y = -y + t. Suppose 2*d - h - 101 = 0, 359 = 5*d - 5*h + 99. What is the remainder when d is divided by y?
15
Let f = -180 - -442. Calculate the remainder when f/13 - 4/26 is divided by 11.
9
Let h = 28 + -21. Let v be (-1)/(0 - 1/(-19)). Let r = v - -31. What is the remainder when r is divided by h?
5
Suppose -2*y - 3*q = -70 - 3, 5*q = -4*y + 145. Suppose -u = 5*g - 14, -4*u + 4*g + 6 + 2 = 0. What is the remainder when y is divided by 14/1 - u/2?
11
Suppose -4*g + 6*g - 56 = 0. Suppose 0 = -3*b - 39 - 60. Let h = -23 - b. Calculate the remainder when g is divided by h.
8
Let l(u) = u**2 - u + 4. Calculate the remainder when -14*(4 - (-27)/(-6)) is divided by l(0).
3
Let z = 7 - 11. Let a(s) = 4*s**2 - 3*s + 5. What is the remainder when a(z) is divided by 21?
18
Calculate the remainder when (19 - 0) + (-10 - -11) is divided by 11.
9
Suppose 4*y = 8 + 24. Let w = 35 + -13. Calculate the remainder when w is divided by y.
6
Let h(p) = -21*p - 7 - 2*p**3 + 32*p - 9*p**2 + 3*p**3. Calculate the remainder when h(8) is divided by 9.
8
Let w(z) = z**2 - z + 10. Calculate the remainder when ((-18)/(-8))/((-2)/(-56)) is divided by w(4).
19
Let p be 2/((-2)/1 + 3). Let u be -1*(p - 3) + 4. Suppose -3*k + u*k = 26. What is the remainder when 37 is divided by k?
11
Let f(u) = -u**3 - 7*u**2 - 6*u + 5. Let w = 42 - 24. Let j = w + -6. Calculate the remainder when j is divided by f(-6).
2
Let f be ((-2)/3)/(4/(-30)). Suppose -3*i + 0*r - 40 = 2*r, r = i + f. Let g = i - -25. What is the remainder when 28 is divided by g?
13
Suppose q + n = -3*n + 36, 2*q - 57 = -3*n. Suppose 3*p = -2*f - q, -2*f - 2*p + 34 = -4*f. Let m = f - -49. What is the remainder when m is divided by 18?
16
Let x be (-2 - -3)/((-1)/(-2)). Suppose 0 = 2*h - x*a + 5*a - 64, -4*a = -5*h + 114. What is the remainder when h is divided by (-329)/(-49) + (-2)/(-7)?
5
Let w = 9 - 5. What is the remainder when 30 is divided by 11/(-1)*(-4)/w?
8
Let t be (-16)/(-3) + 2/3. Suppose 5*c = 5, 5*j - t*c + 3*c = 27. What is the remainder when j is divided by 4?
2
Let f(m) = -m**2 + 4*m + 2. Let h be f(5). Let d = -3 - h. Suppose 3*o - 95 = -5*t, d = t + t + 10. Calculate the remainder when o is divided by 14.
12
Let g be (-1)/(0 + 1/29). Let h be 1*3 + 5 + g. Calculate the remainder when (h/14)/(3/(-64)) is divided by 17.
15
Let q(v) be the second derivative of v**4/12 - v**3/2 - 5*v**2 - 7*v. What is the remainder when q(7) is divided by 5?
3
Let p be ((-2)/(-3))/(4/66). Let t be -4 - -1 - (-2 - 1). Let i = p - t. What is the remainder when 21 is divided by i?
10
Let p = -382 + 64. Let l = p - -167. Let k = -94 - l. Calculate the remainder when k is divided by 20.
17
Suppose -4*z = -2*j + 5 + 3, 0 = -5*j - 3*z + 46. Let s(o) = 2*o - 3. Calculate the remainder when 38 is divided by s(j).
12
Let h(k) = 13*k - 18. Calculate the remainder when h(6) is divided by 21.
18
Suppose -24 = 10*q - 13*q. Suppose 5*m - 3*f = 111, 4*f - 5 = m - 34. What is the remainder when m is divided by q?
5
Let z(b) = -7*b - 1. Suppose -79 = 5*l - 269. What is the remainder when l is divided by z(-2)?
12
Let y = 1 - -2. Suppose -4 = 2*x + u - 0*u, -x + 1 = -u. Let k = y - x. Calculate the remainder when 6 is divided by k.
2
Suppose 6*b - 10*b = i - 68, -44 = -4*b + 5*i. What is the remainder when 93 is divided by b?
13
Let c = -10 - -65. Suppose 3 = -4*x + 5*x. Suppose 0 = -5*v - 2*u - 3*u + 100, v - x*u - 16 = 0. Calculate the remainder when c is divided by v.
17
What is the remainder when 73 is divided by (-2)/(4/6)*176/(-24)?
7
Let o(u) = -u + 29. Calculate the remainder when o(-15) is divided by 14.
2
Suppose 3*g + 4 = 2*v, -5*v - 4 = -g - 27. What is the remainder when g is divided by 2?
0
What is the remainder when -5 - -63 - (-8 + 5) is divided by 9?
7
Suppose -78 = 5*r - 198. Calculate the remainder when r is divided by 14.
10
Let s be (-3)/2*(-64)/12. Let w(f) be the first derivative of f**4/4 - 3*f**3 + 6*f**2 - 11*f + 1. What is the remainder when w(s) is divided by 11?
10
Let y(o) = -7*o - 26. What is the remainder when 11 is divided by y(-5)?
2
Suppose 57 = 8*y - 5*y. Calculate the remainder when 35 is divided by y.
16
Let j be (4/10)/(2/20). Suppose -4*t = -l + 29, -j*t - 21 = -5. Calculate the remainder when 51 is divided by l.
12
Calculate the remaind