 15 + -6. Suppose -5*z - 36 = -2*a - 103, 0 = -a + 4. Let v = z - c. Calculate the remainder when 17 is divided by v.
5
Let k be (-13)/(-3) + (-2)/(-3). Calculate the remainder when 7 is divided by 0/3 + 0 + k.
2
Suppose 5*x + 60 = -n + 2*n, n + x = 48. Suppose 0 = q - 3*h - 6, 4*q - 3*h - n = 10. What is the remainder when q is divided by 7?
4
Let w = -53 - -77. Calculate the remainder when w is divided by 7.
3
Suppose 4*s = 3*y + 22 - 66, 6 = -3*s. Let a = -520 + 566. Calculate the remainder when a is divided by y.
10
Let c(b) = 26*b**3 + 18 + b**2 - 18 - b - 9*b**3. What is the remainder when c(1) is divided by 6?
5
Suppose 7*p - 3*n = 4*p + 606, -5*p - 2*n = -1024. What is the remainder when p is divided by 23?
20
Let w = 2 + 0. Suppose -4*o - 2*m + 70 = 0, w*o - 32 = -3*m + 13. Calculate the remainder when ((-16)/(-12))/(3/63) is divided by o.
13
Let u(a) = -a**3 - 5*a**2 - 4*a - 1. What is the remainder when 53 is divided by u(-5)?
15
Calculate the remainder when 37 - ((-12)/(-3))/4 is divided by 20.
16
Suppose 0 = -a + g + 23, 0 = -g + 3*g. Calculate the remainder when 44 is divided by a.
21
Let f = 79 - 63. What is the remainder when f is divided by 3?
1
Let n = -124 + 61. Calculate the remainder when (-2597)/n - 2/9 is divided by 11.
8
Suppose 3*v + 319 - 58 = 4*i, -3*i + 177 = 4*v. What is the remainder when i is divided by 13?
11
Suppose -3*o = -o + 12. Suppose 38*p = -p + 1287. What is the remainder when p is divided by 2/o + (-156)/(-9)?
16
Let n(s) = -s + 4. Let x be n(2). Suppose -9 + 2 = -2*r - y, -2*r + 12 = x*y. Calculate the remainder when 23 is divided by 0/r + 24/2.
11
Suppose 0 = -698*v + 704*v - 60. What is the remainder when (1 - 3/2)*-34 is divided by v?
7
Let p = 2 - 1. Suppose x = -0*x + z + p, 4*x - z - 10 = 0. Suppose 2*n - 11 = r, -x*r = n - 4 - 5. What is the remainder when 16 is divided by n?
4
Suppose k - 2*x + 6*x = -2, 4*x = -3*k + 10. Calculate the remainder when 10 is divided by k.
4
Let k(a) = a**2. Let r(v) = -3*v**2 - 1. Let u(n) = 2*k(n) - r(n). What is the remainder when u(3) is divided by 12?
10
Suppose -9*a + 60 = -4*a. What is the remainder when 32 is divided by a?
8
Let m(j) = -j**3 + 5*j**2 - 3. Suppose -g - 3 = 4*k - 104, -3*k + 5*g = -70. What is the remainder when k is divided by m(4)?
12
Suppose w = j + 1, 0*j = 2*w - 5*j + 7. Suppose 0 = s - 2*g - 17, -5*g - 2 = 3*s - 9. What is the remainder when 34/w*2*1 is divided by s?
8
Calculate the remainder when 606/9 - (-4)/6 is divided by 17 + ((-2)/(-11) - (-105)/(-33)).
12
Let m = -80 + 165. What is the remainder when m is divided by 23?
16
Let d = -10 + 21. Let z(s) = s**3 - 2*s. What is the remainder when z(3) is divided by d?
10
Let i = -4 - -4. Suppose -u + 0*u + 1 = i. What is the remainder when 2 is divided by u?
0
Let r(z) = 11*z**2 + 1. Calculate the remainder when 57 is divided by r(-1).
9
Suppose -55 = 2*k - 7*k. Calculate the remainder when 3/(-3) - 21/(-1) is divided by k.
9
Let a(u) = -u**2 + 10*u - 5. Suppose i + 0*i - 8 = 0. What is the remainder when a(i) is divided by 3?
2
Suppose -5*b + 7 + 13 = 0. Suppose -2*k - 2*d = 4, -2*k = -b*d - d - 17. Calculate the remainder when 2/(-3)*6/(-4) is divided by k.
0
Let m(y) = y**2 + 10*y + 4. Calculate the remainder when m(-10) is divided by 3.
1
Let m(k) be the second derivative of k**4/4 + 5*k**3/6 + 2*k**2 - k. Let x(l) = l**2 - 8*l + 3. Let b be x(7). What is the remainder when m(b) is divided by 17?
15
Let b(k) = -26*k + 10. Calculate the remainder when b(-3) is divided by 15.
13
Suppose -2*u = 10 + 2. Let g be (0 - 6/(-9))*u. Let l = 6 + g. Calculate the remainder when 5 is divided by l.
1
Suppose 19 = -g + 1. What is the remainder when (-1 + -1)/(g/225) is divided by 14?
11
Let n(w) = -w + 7. Let t(v) = 3 - 4 - 1 + 4 + 2*v. Calculate the remainder when t(4) is divided by n(3).
2
Let k = -197 - -102. Let w = k - -146. What is the remainder when w is divided by 13?
12
Let k = -193 + 199. Calculate the remainder when 25 is divided by k.
1
Suppose t = -2*t + 12. Let o(n) = -3*n - 3. Suppose -3 = 2*r + 1. What is the remainder when t is divided by o(r)?
1
Suppose -2*x + 4*x = -3*p + 34, -38 = -3*p - x. What is the remainder when p is divided by 8?
6
Suppose 0*w - 2*j = -3*w + 12, -2*j + 2 = 4*w. Suppose 7*c - 25 = w*c. What is the remainder when (6/(-4))/(27/(-234)) is divided by c?
3
Let l = -19 - -22. Suppose 5*d - 5*j - 179 = l*d, -2*j = -d + 87. What is the remainder when d is divided by 20?
17
Let p = -7 + 21. Let u(t) = -t**3 - t**2 - 1. Let b be u(-2). Suppose -5*g - 2*m = -b*m - 134, 4*m = g - 42. What is the remainder when g is divided by p?
12
Suppose 10 = -f - 31. Let l be ((-1)/2)/((-5)/(-230)). Let r = l - f. Calculate the remainder when r is divided by 10.
8
Suppose 7 + 103 = 5*m. Suppose m = 3*a + 4. Calculate the remainder when 8 is divided by a.
2
Let x = 7 + -2. Calculate the remainder when x is divided by 4.
1
Let n be (4/2)/((-1)/(-1)). Let u be (n + (-5)/2)*2. What is the remainder when 3 is divided by 0*1/u + 2?
1
Let w(a) = a - 2. Let b be w(5). Let v(r) = -b*r - r + 5 + r. What is the remainder when v(-5) is divided by 11?
9
Let m be 8/(-5)*(-30)/(-4). Let t = 6 - m. What is the remainder when 34 is divided by t?
16
Let s(n) = 4*n**2 + 2*n - 3. Let m(f) = f**3 - 16*f**2 + 15*f + 2. Let v be m(15). What is the remainder when s(v) is divided by 6?
5
Let y(p) = 11*p**2 + 1. Suppose 4*b = -h + 9 - 4, 5*b + 5 = h. Calculate the remainder when y(-1) is divided by h.
2
Let i = 9 + -4. Suppose 2*l - 4*j = -3*j + 42, 0 = 5*l + 2*j - 87. What is the remainder when l is divided by i?
4
Suppose 2*s - 10 = -u, 2*s + 30 = u + 2*u. Let r(m) = m**2 + 4*m - 17. What is the remainder when u is divided by r(-7)?
2
Let i(a) = -2*a**2 - 20*a - 13. Calculate the remainder when 53 is divided by i(-8).
15
Suppose 4*b + 4*x - 8 - 12 = 0, 12 = 3*b + 2*x. Let k be b/(-13) - (-54)/13. Suppose -k*a - 10 = -242. Calculate the remainder when a is divided by 20.
18
Let o(j) = j**2 - 5*j + 10. Let n be o(8). Calculate the remainder when (-1 + n)*(-3)/(-9) is divided by 7.
4
Suppose -4*j + 12 = -4*u, -3*j + 8 = -7. Suppose 2*f - 1 = 7. What is the remainder when f is divided by u?
0
Let n be (-5)/2*(-460)/25. Let t be n - (6/(-2))/(-3). Suppose -9*j + t = -6*j. What is the remainder when 27 is divided by j?
12
What is the remainder when (13/3 + 3)*6 is divided by 15?
14
Suppose -3*f = -2*y - 43, y + 15 = -3*f + 52. Calculate the remainder when 76 is divided by f.
11
Let r = -9 - -6. Calculate the remainder when (-2)/(-3)*r/(-2) is divided by 1.
0
Let u(b) = 4*b**2 + b + 1. Let w(z) = -z + 2. Let x be w(4). Calculate the remainder when u(x) is divided by 8.
7
Suppose -l = -2 - 4. Suppose -2*o - 6 = -4*o. What is the remainder when l is divided by o?
0
Suppose 4*h - 7 - 17 = -2*i, 0 = i - 3*h - 12. What is the remainder when 45 is divided by i?
9
Suppose 3*j = -2*g + 28, 0 = -4*j + 4*g - 0*g + 64. Calculate the remainder when (29/3)/(4/j) is divided by 15.
14
Let g(z) = 2*z + 4. What is the remainder when 26 is divided by g(5)?
12
Let r(h) = 16*h**3 - h**2 - 2*h + 2. Calculate the remainder when 55 is divided by r(1).
10
Let d(g) = -4*g**2 - g**2 - 16*g**3 + 3*g**2 + 1 - 3*g**3. Calculate the remainder when (-8)/20 + (-1041)/(-15) is divided by d(-1).
15
Suppose 0 = -l + d + 65, -2*l = 2*d - 136 + 2. Calculate the remainder when l is divided by 18.
12
Let b(v) = 10*v. Suppose w + 22 = -25. Let c = -33 - w. Calculate the remainder when b(4) is divided by c.
12
Suppose k = 2*q - 3*k + 6, -5*q + 2*k = -9. Suppose 3*c = -c + 2*f + 22, q*f = 5*c - 26. Calculate the remainder when (-14)/(-1) - 2/1 is divided by c.
5
Suppose 0 = -5*j - 18 + 3. Let b = j - -36. Let a(v) = -v + 17. What is the remainder when b is divided by a(0)?
16
Let i(s) = 2*s**2 - 5*s + 2. Let f = -3 - -6. What is the remainder when 13 is divided by i(f)?
3
Suppose 500 = -7*b + 1865. What is the remainder when b is divided by 33?
30
Let b(w) = w**3 + 3*w**2 - 4*w + 1. What is the remainder when 50 is divided by b(-3)?
11
Calculate the remainder when (342/(-45))/(4/(-10)) is divided by 11.
8
Let y(p) = -p**3 - 6*p**2 - 7*p - 1. Let m be y(-5). Suppose b - m = 5. Calculate the remainder when 40 is divided by b.
12
Let t = 19 + -13. Su