7. Calculate the remainder when 54 is divided by n.
12
Let r = -1 - 7. Let b(n) = n**3 - 4*n**2 - 2*n + 1. Let k be b(5). Let v = k + r. What is the remainder when v is divided by 3?
2
Let a(f) = -2*f + 2. Suppose t + 6 = 2*t. What is the remainder when a(-4) is divided by t?
4
Suppose 3 - 19 = 4*t. Let j = t - -6. Suppose -3*f = 2*d - 14, j*f - 4*d + 8 = -2*f. Calculate the remainder when f is divided by 1.
0
Let g = 14 - 9. Suppose 126 = g*o + f + f, -5*f + 42 = 2*o. Calculate the remainder when o is divided by 14.
12
Suppose 2*o = 6*o - 4*i - 308, 3*o - i = 229. Suppose -o = r - 5*r. Calculate the remainder when r is divided by 7.
5
Let h(q) = q - 2. Let d be h(6). Suppose -n = -d*n + 21. What is the remainder when 0/2 + -1 - -20 is divided by n?
5
Suppose 4*g - 282 = -5*t - 40, -2*g = 5*t - 236. What is the remainder when t is divided by 17?
12
Suppose c - 8 = -3*c. Suppose s - 42 = -c. What is the remainder when s is divided by 14?
12
Let t(d) = 5*d**2. What is the remainder when 9 is divided by t(-1)?
4
Let h(y) = -4*y**2 - 5*y**2 + 2 + 11*y**2. Calculate the remainder when 27 is divided by h(-2).
7
Let n = -20 - -30. Suppose 0 = 7*f + 11 - 25. Calculate the remainder when (n/(-4))/(2/(-4)) is divided by f.
1
Suppose -69 = 3*q - 3*r - r, 2*q = -3*r - 63. What is the remainder when 22 is divided by ((-8)/(-12))/((-3)/q)?
4
Suppose -4*m - 4*d + 73 = -d, m - 3*d - 7 = 0. Calculate the remainder when 46 is divided by m.
14
Let f = 2 + -2. Suppose -u + 4 + 3 = f. Let p = -24 + 35. Calculate the remainder when p is divided by u.
4
What is the remainder when 25 + (-4)/4 - 1 is divided by 8?
7
Let u(v) = -v + 11. Let c be u(6). Suppose c*j + 3 = 2*j, 3*j + 16 = f. Calculate the remainder when 24 is divided by f.
11
Let m = -8 + 2. What is the remainder when 17 is divided by m/5*(-5)/1?
5
Suppose j + 4*i = 60, -4*j + 2*i - 115 = -373. Calculate the remainder when j is divided by 22.
20
What is the remainder when 45 is divided by (128/12)/(2/3)?
13
Let v(g) = -g**3 + 7*g**2 - 5*g - 7. Let f be v(6). Let m be 2/f*(-13)/(-2). What is the remainder when 23 is divided by (m + -1)/(-1) - 2?
11
Let z(j) = 8*j**2 - 8*j + 2. Calculate the remainder when z(-2) is divided by 6.
2
Suppose -4*v = 4, 5*h + 5*v = -0*h + 75. Suppose 0 = a + 6 - 4. Let j = 4 - a. What is the remainder when h is divided by j?
4
Let d = 8 + -10. Let c = d + 3. What is the remainder when (-8)/(-28) + 24/14 is divided by c?
0
Let x(v) = -v**3 - 4*v**2 + 7*v + 21. Calculate the remainder when 52 is divided by x(-5).
8
Suppose -2*r + 26 = -0*r. Let m(c) = -2*c**2 + 6*c + 4. Let i be m(6). Calculate the remainder when 2 - (i - (3 - 0)) is divided by r.
11
Let n(v) = 22*v**2 - 7*v - 1. Let d(w) = 23*w**2 - 6*w - 1. Let h(m) = 7*d(m) - 6*n(m). What is the remainder when h(-2) is divided by 29?
28
Suppose -8*b + 138 = -2*b. What is the remainder when 91 is divided by b?
22
Let h(f) = -4*f + 1. Calculate the remainder when h(-8) is divided by 17.
16
Let k = -102 - -123. What is the remainder when 60 is divided by k?
18
Suppose -6*h + 3 = -5*h. Calculate the remainder when 5/(-10) - 21/(-2) is divided by h.
1
Let f(d) = -d**3 + 8*d**2 - 7*d. Let u be f(7). Suppose 11 + 14 = 5*l. Suppose 0 = -l*c, c = -u*x - x + 19. Calculate the remainder when 55 is divided by x.
17
Suppose -5*p - 2*b - 72 + 289 = 0, 2*b = 2*p - 98. Suppose -28 = -2*h - 0*h + 2*l, l = 5*h - 78. Calculate the remainder when p is divided by h.
13
Let b = 219 - 138. What is the remainder when b is divided by 5/(-15) - (-128)/6?
18
Let w = -13 - -36. Suppose -3*x - w = -n, 0*n + 4*x = 5*n - 137. Calculate the remainder when n is divided by 15.
14
Suppose 2*w + 4*z - 388 = 0, -w + 3*w - 4*z - 348 = 0. Calculate the remainder when w is divided by 31.
29
Suppose 2*b = -6 + 82. Calculate the remainder when b is divided by 13.
12
Let j be (2 - 0)*15/10. Let w(n) = 9*n - 2. Let z(d) = 28*d - 5. Let s(l) = 7*w(l) - 2*z(l). Calculate the remainder when 33 is divided by s(j).
16
Suppose -2*b - 72 = i - 4*i, 4*b = 0. What is the remainder when i is divided by 14?
10
Let t be 6/(-4)*(0 + -2). Suppose 2*b + t*b = 195. Suppose 5*c - 3*c - 3*h - 40 = 0, -h - 60 = -3*c. What is the remainder when b is divided by c?
19
Suppose -2*w + 18 = w. What is the remainder when w is divided by 3?
0
Let f(n) = n**2 - 5*n + 12. Let d be f(8). Let k be d/14*(8 + -1). Suppose 0 = -0*s + s - k. What is the remainder when s is divided by 10?
8
Let f(n) be the second derivative of -n**3/2 - 2*n. Let p be f(-1). Suppose 5*q - 4*o = 3, 12 = -q + p*q + 2*o. Calculate the remainder when 8 is divided by q.
2
What is the remainder when 36 is divided by (-15)/20*16/(-1)?
0
Let n(s) = s**3 - 13*s**2 + 15*s - 12. Calculate the remainder when 69 is divided by n(12).
21
Let c = 41 - 27. Let o = -3 + c. Let r = -18 + 49. What is the remainder when r is divided by o?
9
Suppose -5*p = -3*m - 35, 4*p - 2*m - 17 = 13. Calculate the remainder when 16 is divided by p.
6
Suppose -3*j + 6*o - 2*o = -38, 72 = 5*j + 2*o. Suppose -72 - 88 = -4*x. What is the remainder when x is divided by j?
12
Let y(j) = j**2. Let b be (-6 - -3) + 1 + 0. Calculate the remainder when y(4) is divided by (b - -20)*(-1)/(-2).
7
Suppose 2*q + 3*s = -2*q + 98, -2*s - 88 = -4*q. What is the remainder when q is divided by 15?
8
Let g(w) = -w**2 - 13*w - 2. Let x be g(-9). Suppose -5*k + 21 = -x. What is the remainder when 31 is divided by k?
9
Suppose 0 = f - 2*m + 5, -5*f - m + 26 = -4. Suppose -104 = -f*c + 66. Let v = 5 - -13. What is the remainder when c is divided by v?
16
Suppose -5*v + 40 = -0*v. What is the remainder when 49 is divided by ((-4)/6)/(v/(-156))?
10
Let f be 542/10 + 1/(-5). Let t = -21 - 8. Let z = f + t. Calculate the remainder when z is divided by 13.
12
Let k = -2 + 32. Calculate the remainder when 118 is divided by k.
28
Let y = 1 - -2. Suppose 14 - 64 = -y*d - 2*f, 0 = d - 5*f - 45. Suppose -d = 4*a - 64. What is the remainder when 21 is divided by a?
10
Let u be 33*3*(-2)/(-18). Let n = -20 + u. Let d = -4 - n. Calculate the remainder when d is divided by 2.
1
Let c(v) = 4*v + 3. What is the remainder when c(10) is divided by 15?
13
Suppose 0 = 2*c - c - 45. Let v be ((-1)/2)/((-6)/(-192)). Let q = v - -32. What is the remainder when c is divided by q?
13
Let z(w) = w**2 + w. What is the remainder when z(-4) is divided by (-2 + (-3)/1)*-1?
2
Let z(q) = 4*q + 60. Calculate the remainder when 62 is divided by z(-11).
14
Suppose 38 + 47 = 5*o. Let t(i) = 2*i**2 - 2. Suppose -4*y - 3*h - 7 + 0 = 0, -2 = 4*y + 2*h. Calculate the remainder when o is divided by t(y).
5
Let a(o) = o**3 - 6*o**2 - 11*o + 12. What is the remainder when a(8) is divided by 11?
8
Let o(g) = g - 8. Let c be o(8). Suppose 0 = -c*t + 2*t + 66. Let v = t - -62. Calculate the remainder when v is divided by 10.
9
Suppose 4 = -4*n, z + z = -2*n. Calculate the remainder when 4 is divided by z.
0
Let s(l) = 4*l**2 + 3*l - 2. Let m = 15 - 1. What is the remainder when s(-3) is divided by m?
11
Let o(i) = -4 + 8*i - i**2 - 1 + 0*i**2 - i. What is the remainder when o(4) is divided by 3?
1
Suppose 0 = 4*j - 5*q - 15, -5*q + 4 - 19 = -2*j. Let t = j - -5. Let d = 22 - 5. Calculate the remainder when d is divided by t.
2
Suppose 5*a - 50 = 2*t + 3*t, -5*t = 3*a - 38. Suppose w = -2*v - 0*v - a, v + 10 = 4*w. Let g = v + 15. What is the remainder when 25 is divided by g?
7
Let g = 10 - 8. Let t = 83 - 29. Suppose -j + t = g*j. Calculate the remainder when j is divided by 10.
8
Let l(w) = 10*w. Let p be l(-1). Let h(f) = f**3 + 9*f**2 - 11*f - 4. What is the remainder when 17 is divided by h(p)?
5
Suppose -4*w + 6 = 18. Let c(f) = -f + 4. Calculate the remainder when c(w) is divided by 4.
3
Let t = -3 + 16. Let i be (15/(-9))/(3/(-18)). Calculate the remainder when t is divided by (-6)/(-30) + 48/i.
3
Let u(a) = -a + 15. Calculate the remainder when 69 is divided by u(-9).
21
What is the remainder when ((-135)/(-10))/((-2)/4 - -1) is divided by 16?
11
Suppose 0 = -d + 77 + 6. Calculate the remainder when d is divided by 21.
20
Let c be 12/(-42) - (-94)/(-14). Let w(k) be the third derivative of -k**4/8 - 7*k**3/6 + k**2. What is the remainder when 27 is divided by w(c)?
13
Let w be ((-28)/(-3))/(4/24). Suppose 5*b = b +