) + 3 is divided by 13.
12
Suppose 0 = -2*a + 6 - 0. What is the remainder when 7 is divided by a?
1
Suppose 3*f = 2*h - 3, h + 2*f + 3*f - 8 = 0. Suppose h*s + 3*t = 63, -2*s + 29 = -s + 5*t. Calculate the remainder when s is divided by 10.
9
Let q = 2 + 3. Suppose -5*c - 4*u = u - 15, -5*c + 55 = -q*u. Calculate the remainder when 18 is divided by c.
4
Suppose 6 = 2*z + 2*g, -z + 3 - 10 = 3*g. What is the remainder when 65 is divided by 66/z*(-24)/(-9)?
21
Let u = 115 - 38. What is the remainder when u is divided by 20?
17
Suppose -d + 20 = 3*d. Let v = -10 - -23. What is the remainder when v is divided by d?
3
Suppose 2*n = 7*n - 110. Suppose -m + v + 13 = -2*v, -4*m + n = 3*v. Suppose -3 = 3*s, -2*l - 2*s = -0*s - 36. Calculate the remainder when l is divided by m.
5
Let u(v) be the third derivative of v**5/3 + v**4/24 + v**3/6 - 5*v**2. What is the remainder when (61/1 + -2)*1 is divided by u(-1)?
19
Suppose -58*k - 69 = -61*k. What is the remainder when 42 is divided by k?
19
Suppose t + 3*t = 28. Calculate the remainder when 33 is divided by t.
5
Suppose 20 = g + 4. What is the remainder when g is divided by 6?
4
Let f(y) = y**3 - 5*y**2 + 6*y - 4. What is the remainder when 103 is divided by f(5)?
25
Suppose 2 = -26*b + 28*b. Calculate the remainder when b is divided by 1.
0
Let f(u) = 6*u - 4. Calculate the remainder when 53 is divided by f(3).
11
Let k = -36 - -148. Let n = k + -79. Calculate the remainder when 64 is divided by n.
31
Calculate the remainder when 52 is divided by -5 - 128/(-4 - 0).
25
Let c = 1 - -5. Suppose -2*y + c*y - 3*k = 97, -2*y = k - 51. What is the remainder when y is divided by (-6)/(-15) + 86/10?
7
Suppose -5*p + 4*k + 660 = 0, 0*p + 4*k = -p + 156. Suppose -4*u + p = -0*u. Let j = u + -18. Calculate the remainder when 46 is divided by j.
14
Let d(o) = o**3 - 9*o**2 + o + 2. Let i(v) be the first derivative of 3*v**3 - v**2/2 + v - 2. Let n be i(1). What is the remainder when 30 is divided by d(n)?
8
Suppose -4*j - 36 = -2*i, j - 21 = -i + 2*j. Let a = 280 + -187. Calculate the remainder when a is divided by i.
21
Let b(o) = 2*o - 4. Calculate the remainder when 23 is divided by b(5).
5
Suppose 4*k - 16 - 64 = 0. What is the remainder when 37 is divided by k?
17
Suppose 2*k = 2*w + 94, 4*k = k + w + 137. Calculate the remainder when k is divided by 23.
22
Calculate the remainder when 10 is divided by ((-4)/6)/(5/(-30)).
2
Suppose -7*b = 14*b - 105. Calculate the remainder when ((-1)/(-3))/(3/171) is divided by b.
4
Let g(n) = -n**3 - 26*n**2 + 27*n + 21. What is the remainder when 186 is divided by g(-27)?
18
Let z(i) be the third derivative of i**6/120 - i**5/60 + 7*i**3/6 + i**2. Let c = 0 + 0. What is the remainder when 12 is divided by z(c)?
5
Suppose 10*o - 108 = -8. Calculate the remainder when 28 is divided by o.
8
Suppose -5*i + 3*i + 3*h = -49, 5*i - 97 = -h. Suppose -f = 4*f - 60. Calculate the remainder when i is divided by f.
8
Suppose -2*t = -0*t - 282. Suppose t = 2*j + j. Let h(f) = -3*f + 1. Calculate the remainder when j is divided by h(-5).
15
Suppose 0 = 3*x - 4*a + 4, 5*x + 2*a + a - 32 = 0. Suppose -x*l + 0*l + 60 = 3*m, 30 = 2*l + 2*m. What is the remainder when 44 is divided by l?
14
Suppose -2*n - 21 = 5*h + 3, -h + 26 = -4*n. Let p(i) = -i**2 - 11*i - 9. Suppose 1 = s + 6, 0 = 2*r + 4*s. Calculate the remainder when p(n) is divided by r.
9
Let w = -3 + 5. Let j(r) = 4*r**3 + r**2 - r + 2. What is the remainder when j(w) is divided by 19?
17
Let f(k) = -k**3 + 7*k**2 + 2. Let s be f(7). Suppose -s*t + 6 = 2. Suppose 4 - 20 = -t*i. Calculate the remainder when 13 is divided by i.
5
Let b(o) = o**2 + o - 3. What is the remainder when 538/8 - (-5)/(-20) is divided by b(4)?
16
Let h(g) = g + 4. Let x be h(-4). Suppose -2*c - 4*j - 24 = x, -2*j - 12 = 2*j. Let z(m) = -2*m + 2. What is the remainder when 26 is divided by z(c)?
12
Suppose 132 = -7*z + 4*z. Let t be (-62)/4*z/11. Suppose 5*u - 357 = -t. Calculate the remainder when u is divided by 20.
19
Let q(r) = -6*r - 12. What is the remainder when q(-7) is divided by 11?
8
Let o = -3 + 42. Let k(r) = 3*r**3 - r**2. What is the remainder when o is divided by k(2)?
19
Let p = 462 - 325. Calculate the remainder when p is divided by 23.
22
Let v(x) = -16*x - 9. What is the remainder when v(-6) is divided by (-2 - 21/6)*-4?
21
Suppose 5*t = m + 46, -2*t = -0*t + 5*m - 40. What is the remainder when 27 is divided by t?
7
Suppose -3*y + 4 = -y. Calculate the remainder when 47 is divided by 24 + (y - -1) - 3.
23
Let d(y) = -y - 4. Let i = -11 + 5. Let w be d(i). Suppose 2*l - 32 = w*k, l + k - 26 = 4*k. Calculate the remainder when 20 is divided by l.
9
Let g(z) = -10*z + z + 1 + 5 + 2*z**2. Suppose -2*y + 6*y - 24 = 0. Calculate the remainder when g(y) is divided by 13.
11
Suppose 2*g - 8 = 0, -4*g - 36 = -2*x - 7*g. Suppose -36 = -c + 11. What is the remainder when c is divided by x?
11
Let b be 13/2*2 - 2. Let w = b + 6. What is the remainder when 49 is divided by w?
15
Suppose x - 3*x + 70 = 5*y, -23 = -4*y + 5*x. What is the remainder when 18 is divided by y?
6
Suppose 5*y - 90 = -5*x + 4*y, -4*y - 54 = -3*x. Suppose -177 + 41 = -4*f. What is the remainder when f is divided by x?
16
Suppose 3 = -v + 6. Suppose -55 = -v*w - 2*w. Calculate the remainder when w is divided by 6.
5
Suppose 2*c - 107 = -3*v, -2*v = -5*c - 0*v + 258. Let h = 75 - c. What is the remainder when 89 is divided by h?
20
Suppose 13 = -4*y + 29. Suppose 62 = y*v - 10. Calculate the remainder when 35 is divided by v.
17
Let w(j) = j**3 + 7*j**2 - 4*j - 23. What is the remainder when w(-6) is divided by 13?
11
Suppose 12 = 3*v - 30. What is the remainder when 27 is divided by v?
13
Let v(x) = x**2 + x - 1. Calculate the remainder when v(5) is divided by 16.
13
Suppose -7 = 3*j - w + 5*w, -4*w - 1 = 5*j. What is the remainder when 15 is divided by j?
0
What is the remainder when (117 - (4 - 7 - 1)) + -3 is divided by 61?
57
Let w(p) = 21*p**2 - p. What is the remainder when 119 is divided by w(1)?
19
Suppose 2*u = 4 + 6, -5*u = 5*a - 100. Let d(p) = 4*p**2 - 5*p - 1. Calculate the remainder when d(4) is divided by a.
13
Let p(b) = -9*b - 42. What is the remainder when (-5 + 4)/(2/(-20)) is divided by p(-5)?
1
Suppose -10 = -7*i + 2*i. Calculate the remainder when (-2)/3*(1 - 4) is divided by i.
0
What is the remainder when 50 is divided by (0 - 13)*(3 - 5)?
24
Let c(g) = 3*g + 33. Let z(y) = y**2 - y - 2. Let k be z(3). Suppose k*n = -n + 50. What is the remainder when n is divided by c(-9)?
4
Suppose -6*o + 41 + 25 = 0. Calculate the remainder when o is divided by 4.
3
Suppose 2*t - 7 = 1, 3*t = 4*p - 152. Suppose 0 = l + 5*a - 34, -a + 25 = 2*l - 7. Calculate the remainder when p is divided by l.
13
Let w = 62 - 41. What is the remainder when 83 is divided by w?
20
Let u be (-82)/3 + 1/3. Let d = -2 - u. What is the remainder when (32/(-3))/((-2)/9) is divided by d?
23
Let m = 117 - 83. Calculate the remainder when m is divided by 7.
6
What is the remainder when -2*((-785)/(-10))/(-1) is divided by 40?
37
Let j(o) = 10*o**2 + 2*o**2 - 2*o - o + 2*o**2 + 1. Calculate the remainder when j(2) is divided by 27.
24
Suppose 9*c - c = 464. Calculate the remainder when c is divided by 15.
13
Let v(h) = h - 1. Let x be v(6). Suppose -x*r = 0, 3*o = -2*r + 7*r + 84. Let a = o + -11. Calculate the remainder when 66 is divided by a.
15
Let q(j) = 6*j**2 - 12*j + 14. Let n(s) = 7*s**2 - 12*s + 14. Let r(t) = -5*n(t) + 6*q(t). Calculate the remainder when 10 is divided by r(11).
1
Suppose 3*a + 2*f = -34, 2*a - 5*f + 46 + 2 = 0. Let b = a + 32. Calculate the remainder when b is divided by 10.
8
Suppose -c - 6 = 5*m + 31, 0 = -4*m + 4*c - 20. Let f = -4 - m. What is the remainder when 3*(0 + 3) + 2 is divided by f?
2
Suppose 0 = -3*s - 15, s + 12 = 3*w + 4*s. Let z = 48 - 23. Calculate the remainder when z is divided by w.
7
Let d(n) = 5*n**2 - 2*n. Let a(z) = z + 1. Let q be a(5). Suppose 0 = -l + q. Calculate the remainder when d(2) is divided by l.
4
Let z(o) = -o**3 + 9*o**2 + 12*o + 8. What is the remainder when z(8) is divided by 13?
12
Suppose 4*u = 2*g - 16, 5*u - g = -2*g - 20. Let c = u + 19. What is the remainder when 43 is divided by c?
13
Let q = 137 + -87. What is th