n j is divided by 14.
13
Let s = 3 + 8. Suppose 4*l = 5*w - 27, 2*l = 3*w - 4 - 11. Suppose t - 4*c = 19, -2*t + 50 = w*t - 5*c. Calculate the remainder when s is divided by t.
4
Suppose 5*n - 18 = 2*f, 4*n - n + 6 = -3*f. Let x(i) = 8*i + 5. What is the remainder when x(3) is divided by 2/f + 63/6?
9
Suppose -3*t = t - 8. Suppose p = -2*q + 15, -q + t*p = -0*q. Suppose 3*l - 84 = -l. What is the remainder when l is divided by q?
3
Let j(v) = -2*v**2 - 22*v + 28. What is the remainder when 42 is divided by j(-12)?
2
Let t(l) = 0 - 2*l + l + 5. What is the remainder when 34 is divided by t(-4)?
7
Let m(u) be the third derivative of 5*u**4/24 + 3*u**3/2 - 5*u**2. Calculate the remainder when m(9) is divided by 19.
16
Suppose -5*w + 91 = -19. What is the remainder when 84 is divided by w?
18
Let z = 9 - -31. Calculate the remainder when z is divided by 22.
18
Let r be (-3)/((-351)/(-114) + -3). What is the remainder when (r/4)/((-3)/6) is divided by 6 + 2/(3 + -1)?
5
Suppose 0 = 2*z - 5*n - 30, 41 - 1 = 3*z - 5*n. Let c = -4 + z. Calculate the remainder when 25 - 3/(c/4) is divided by 12.
11
Suppose -3*s + 8 = -13. Calculate the remainder when 11 is divided by s.
4
Suppose 0 = o - 2*o + 88. Suppose -2*v + o = 2*v. What is the remainder when v is divided by 12?
10
Let k = -3 - -7. Suppose 5 - 73 = -k*f. What is the remainder when f is divided by 9?
8
Suppose -5*f = 5*c + 35, 3*f - 4 = -c - 17. Let m = c - -4. Suppose m = 5*v + 4 - 19. Calculate the remainder when 4 is divided by v.
1
Let g = 12 - 8. Suppose 0 = -m + 2*m + 3*r - 19, g*m - 4*r - 76 = 0. Calculate the remainder when 73 is divided by m.
16
Suppose -3*t = -a - 6, -4*t + 0*t + 8 = 3*a. Suppose -2*j - 5*d = t - 68, d - 36 = -j. What is the remainder when j is divided by (-3)/((-6)/(-4))*-10?
18
Suppose -5*h = -3*w - 260, -4*h - 102 = 4*w - 342. Let i(z) = z**3 - z**2 - 4. What is the remainder when h is divided by i(3)?
13
Let t = 0 - -25. Calculate the remainder when t is divided by 4.
1
Let k = 10 + 20. Calculate the remainder when k is divided by 8.
6
Let c(k) = -k**2 + 10*k + 8. What is the remainder when c(7) is divided by (-1 - (-6)/10)*-25?
9
Let w = 14 + 9. Calculate the remainder when w is divided by 12.
11
What is the remainder when 34 is divided by ((-3)/(-5))/(2 - 57/30)?
4
Suppose -3*k = k - 40. Calculate the remainder when (-85)/(-5)*2 + -5 is divided by k.
9
Suppose -2*d - 3*d + 4*j = -45, 3*d - j - 27 = 0. What is the remainder when d is divided by 6?
3
Suppose -2*v + 188 = 2*v. What is the remainder when v is divided by 10?
7
Suppose 2 = -t + 5. Suppose 15 = 5*l - t*u - 75, -u + 18 = l. Calculate the remainder when 69 is divided by l.
15
Suppose -3*k = -2*n - 55, k + 74 = 5*k - 3*n. Suppose -264 = -4*o + v - 0*v, -276 = -4*o - 2*v. Let q = 99 - o. Calculate the remainder when q is divided by k.
15
Let y(f) = 9*f**2 - 4*f - 4. Suppose 0 = 4*s, 2 - 16 = -h - 4*s. What is the remainder when y(-2) is divided by h?
12
Let n(m) = 2*m**2 - 6*m - 2. Let h be n(5). Suppose -g = 4 - h. What is the remainder when ((-52)/(-10))/(2/10) is divided by g?
12
Let s(t) = -t + 10. Let c be s(10). Suppose c = -k + 5*k. What is the remainder when -2 - -2*6 - k is divided by 4?
2
Suppose 0 + 12 = -n. Let r = -8 - n. Calculate the remainder when r is divided by 2.
0
Let w = -4 + 6. Suppose -44 = -w*y - 0*y. Let v = -13 + y. Calculate the remainder when 25 is divided by v.
7
Let t = 7 + 5. Suppose 0 = -2*s - 5*a + 67 + 8, 4*a = t. Calculate the remainder when s is divided by 1 - 0 - (-30)/2.
14
Suppose 0 = -5*h - 0*h + 40. Let a = h + 6. Calculate the remainder when 55 is divided by a.
13
Suppose 0 = 2*i + 5*p + 9, 5*i - 3*p + 0*p = -7. Let y = 6 - i. Suppose j = -j + y. Calculate the remainder when 7 is divided by j.
3
Suppose 11 + 13 = 3*n. What is the remainder when n/(-10) + 261/45 is divided by 2?
1
Let k(w) = -4*w - 4. Suppose -f = 2*f - 9. Suppose 3*u = -5*n - 24, 0 = -f*n + n - 2*u - 12. Calculate the remainder when 23 is divided by k(n).
7
Let y(p) = 0*p**2 - p**2 - 3 + 5*p**2 - 3*p + 6. Calculate the remainder when 24 is divided by y(2).
11
Let t(v) = -v + 6. Let o be t(6). Suppose o = 2*r - 4*r + 6. What is the remainder when 8 is divided by r?
2
Suppose t = 3*t - 180. Let s = t + -53. Let j = 32 + -19. What is the remainder when s is divided by j?
11
Let p be (-2 + 7/3)*-6. Calculate the remainder when 10 is divided by p - (3*-3 - -3).
2
Let m = -6 - -20. Suppose -4*n - 3*h = 235, -n + h - 35 - 29 = 0. Let y = -34 - n. Calculate the remainder when y is divided by m.
13
Suppose 15*w = 4*w + 264. Calculate the remainder when 47 - (1 + -2 + 2) is divided by w.
22
Suppose -321 = -5*j + 4*u, 3*j + j - 3*u = 256. Suppose -4*o + j = 3*q, 2*q - 16 = -3*o + 25. What is the remainder when 452/12 - 4/6 is divided by q?
18
Suppose c + 3*v = -3 + 10, 4*v = -4*c + 36. Suppose -y - 5*j + 10 = y, c = -5*j. Let h = -14 + 20. What is the remainder when y is divided by h?
4
Suppose -4 = -3*u + 2. Calculate the remainder when 6 is divided by u.
0
Let i = 6 + -21. Let x = 35 + -21. Calculate the remainder when x is divided by i*((-1)/3 - 0).
4
Suppose -3*a = 5*i - 146, -66 = -2*a + i + 53. What is the remainder when a is divided by 10?
7
Suppose 11 = 2*s - 11. Let u = 23 - 28. Let n = u + s. What is the remainder when 22 is divided by n?
4
Suppose -5*n + 7 + 35 = 3*b, 3*n = 5*b - 36. Let z(u) = -u. Let a be z(4). Let h = 1 - a. Calculate the remainder when b is divided by h.
4
Suppose -16 = -5*j + 3*j. Let s = 3 + j. What is the remainder when s is divided by 6?
5
Let o = -9 - -40. Calculate the remainder when o is divided by 16.
15
Suppose 13 = 3*r - y, -r - 7 = -3*y + 2. Suppose -88 = -5*h - d, 11 = 2*h - h - 2*d. Calculate the remainder when h is divided by r.
5
Let i(p) = -2. Let m(h) = 2*h - 8. Let j(l) = -6*i(l) + 2*m(l). Suppose -5*u + 39 = -4*f, -5*f + 30 = 5*u - 0. What is the remainder when j(u) is divided by 13?
11
Suppose 3*i - 4*i = -5*y - 81, 2*y + 29 = -3*i. Let c = y - -28. What is the remainder when c is divided by 7?
5
Let y(b) = -3*b + 3. Let s be y(-10). Suppose -l = 2*l - s. What is the remainder when 20 is divided by l?
9
Suppose 0 = -2*t - 2*r - 8 - 14, 4*t + 5*r + 47 = 0. Let j = 0 - -2. What is the remainder when 2/(-2) - (t + 0) is divided by j?
1
Let u be (-42)/(-4)*(-8)/12. Let o(f) = f - 2. Let n be o(0). What is the remainder when 1/(1/u)*n is divided by 5?
4
Let k(s) be the second derivative of -13*s**3/6 + s**2/2 + 2*s. Let a(p) = p**3 + 5*p**2 - 7*p - 1. What is the remainder when k(-1) is divided by a(-6)?
4
Suppose 5*w - 29 = -a, 4 = -2*w + 4*a + 20. What is the remainder when (-2)/3 + (-35)/(-3) is divided by w?
5
Let d = -6 - 1. Let v = d + 7. Suppose 2*r + r - 72 = v. What is the remainder when r is divided by 13?
11
Let d = 39 - 24. Suppose 164 = 4*j + 4*i - 7*i, -3*j + 4*i + 116 = 0. What is the remainder when j is divided by d?
14
What is the remainder when 2 is divided by (1/4)/((-1)/(-8)*1)?
0
Let y(f) = 11*f + 1. Suppose -22*n = -18*n - 92. Calculate the remainder when n is divided by y(1).
11
Suppose 5*u = 715 - 45. What is the remainder when u is divided by 35?
29
Calculate the remainder when (-2)/(-6) - (-214)/6 is divided by 10.
6
Let k be ((-10)/(-8))/((-1)/(-4)). Suppose 8 - 18 = -k*i. Suppose 0 = -i*g + 3*g - 21. Calculate the remainder when g is divided by 12.
9
Let o = 1 - -21. What is the remainder when 85 is divided by o?
19
Let y = 166 - 97. What is the remainder when y is divided by 19?
12
Let a(y) = -3*y**3 - 2*y**2 - 3*y - 3. Let m(b) = b**3 + 8*b**2 + 5*b - 6. Let o be -3 - -1 - (1 - -3). What is the remainder when m(o) is divided by a(-2)?
17
Suppose 20 = 4*q - 20. Calculate the remainder when 26 is divided by q.
6
Suppose 2*t = -13 - 5. What is the remainder when 37 is divided by -3*(60/t)/1?
17
Let u(h) = -28*h**3 + 2*h**2 + h. Let i = 104 + -96. Calculate the remainder when u(-1) is divided by i.
5
Suppose 8*w + 3*w = 165. What is the remainder when 42 is divided by w?
12
Let d(h) = h**2 - 2*h - 8. Let b = 16 - 9. Calculate the remainder when d(b) is divided by 14.
13
Let u = 3 - -10. Let a = 120 - 83. What is the remainder when a is divided by u?
11
Suppose 5*d + 32 = 2*o - 81, -d = -5*o + 340. Let t = -8 + o. Suppose -5 - 16 = -u. Ca