5. What is the remainder when f is divided by u?
19
Let a be 9/2*(-8)/(-12). Suppose 2*q - q = 4*p + 2, 0 = a*q - 2*p - 26. Let v = q - 7. What is the remainder when v is divided by 2?
1
Let v = 19 - 15. Suppose v*x = 5*x - 11. What is the remainder when 31 is divided by x?
9
Let j be 21/14*(-4)/(-3). Let n(k) = -4*k + 5 - 3*k + 0*k**2 + k**j + 2*k. Calculate the remainder when 37 is divided by n(7).
18
Calculate the remainder when 24 is divided by (-1 + -1 - -1) + (11 - 1).
6
Suppose -4*p = -8*p + 12. Suppose -j = -2*r - 22, -4 - 8 = p*r. What is the remainder when 25 is divided by j?
11
Let z = -8 - -3. Let k = 1 - z. What is the remainder when 2*9/30 - 312/(-30) is divided by k?
5
Let u(l) = l**2 - 8. Calculate the remainder when 81 is divided by u(5).
13
Suppose 5*g - 4*d - 98 = 0, -2*g + 55 = -2*d + 15. Calculate the remainder when g is divided by 10.
8
Let n be 2/(-3) - 8/(-3). Let m(x) = -6*x + 5. Let h be m(-7). Let p = h + n. What is the remainder when p is divided by 13?
10
Let y(v) be the first derivative of -v**2/2 + v - 1. Calculate the remainder when 32 is divided by y(-10).
10
Let i be (30/9)/((-1)/3). What is the remainder when (4/i)/(3/(-75)) is divided by 4?
2
Suppose -u - 2*u - 105 = 0. What is the remainder when 57 is divided by ((-48)/(-28))/((-2)/u)?
27
Suppose 0 = -2*h - 4 + 2. Calculate the remainder when 56 is divided by (-1)/h - -2*9.
18
Suppose 5*a + 4 = 4*a, -2*z + 202 = a. What is the remainder when z is divided by 26?
25
Suppose -5*k + 7*k - 84 = 0. Calculate the remainder when 123 is divided by k.
39
Let y(s) = s**2 + 9*s - 6. Let r(z) = -z**2 - 2*z - 2. Let a be r(-4). Calculate the remainder when 5 is divided by y(a).
1
Let u = 25 - 17. What is the remainder when 28 is divided by u?
4
Let u = -180 - -300. Let k = u - 67. Calculate the remainder when k is divided by 18.
17
Let v(l) = -l**2 - 8*l - 4. Let u be v(-3). Suppose -15 = 5*i - 0*f + 4*f, 2*i + 2*f + 6 = 0. Let k = i + u. Calculate the remainder when 15 is divided by k.
7
What is the remainder when (-20)/4*46/(-5) is divided by (-4)/10 + (-82)/(-5)?
14
Suppose 2*z = -2*l, 2*l - 4*l = -z - 12. Suppose -4*a + 150 = -2*s, -a + 2*s + 66 - 21 = 0. What is the remainder when a is divided by (-328)/(-28) - l/(-14)?
11
Suppose 3*m - 156 = -3*i, -5*m - 3*i = 4*m - 438. Suppose -4*y + 48 = -y. Calculate the remainder when m is divided by y.
15
Let f = -1 - -42. What is the remainder when 81 is divided by f?
40
Let o = 11 + 0. What is the remainder when o is divided by 7?
4
Suppose -5*t + 117 = -3*b - 57, 5*b = 5*t - 170. Calculate the remainder when t is divided by 13.
10
Let q(u) = 18*u**2 + 4*u + 2. What is the remainder when q(-3) is divided by 51?
50
Let q = 57 - 41. Calculate the remainder when 61 is divided by q.
13
Calculate the remainder when -6 + 1 + 4 + 20 is divided by 11.
8
Let k = 5 + 3. Let x = 15 + -3. Suppose y = -j + 2*j + x, 5*j = 5. What is the remainder when y is divided by k?
5
Suppose -4*m + 6*m - 12 = 0. Calculate the remainder when 8 is divided by m.
2
What is the remainder when 3/(1 - (-12)/(-21)) is divided by 4?
3
Let u(j) = j**2 + 6*j + 7. Suppose 3*p = -0*p + 15. Suppose 0*g + p*g = -30. What is the remainder when 13 is divided by u(g)?
6
Suppose -3*v = -4 - 8. What is the remainder when (-2)/2*0 + 13 is divided by 51/12 + (-1)/v?
1
Let a = 88 - 70. What is the remainder when 105 is divided by a?
15
Suppose -2*a - a + 12 = 0. Let d = 11 + -9. Suppose 2 = -d*p, -60 - 4 = -5*t + a*p. Calculate the remainder when 34 is divided by t.
10
Let y = 100 - 34. What is the remainder when y is divided by 17?
15
Let v(j) = -2*j. Let k be v(-1). Suppose -4*p + 4*i = -28, -i + k*i = 4. Let y = -4 + p. What is the remainder when 12 is divided by y?
5
Let y(k) = -k - 6. Let z(o) = o + 6. Let c(n) = 3*y(n) + 4*z(n). What is the remainder when c(6) is divided by 5?
2
Let i(f) = f**3 - 6*f**2 - 4*f + 8. What is the remainder when i(7) is divided by 16?
13
Suppose 4 = 2*k, -k = -4*t + t + 34. Calculate the remainder when 45 is divided by t.
9
Let u be 24/(-40) + 3/5. Suppose -5*x + 158 = o + 2*o, u = -3*o + 5*x + 148. Calculate the remainder when o is divided by 13.
12
Let c(t) = t**3 + 9*t**2 + 9*t. Let g(p) = p**2 - p - 1. What is the remainder when c(-5) is divided by g(5)?
17
Suppose 2 - 18 = -5*p + d, -3*p + d = -8. Suppose p*o - 2*o - 42 = 0. What is the remainder when 40 is divided by o?
19
Let o(f) = -f**2 + 19. What is the remainder when o(0) is divided by 10?
9
Suppose 4*d = -5*u + 93, -83 = -u - 4*u + d. What is the remainder when 66 is divided by u?
15
Suppose 4*g - 359 = -3*o, 2*g + o = 4*o + 175. What is the remainder when g is divided by 23?
20
Let n(c) = -41*c**3 - 2*c**2 - 2*c - 1. Let f = 0 + 14. Calculate the remainder when n(-1) is divided by f.
12
Calculate the remainder when 3 - (-162 - (0 + 0 + -2)) is divided by 33.
31
Let g be ((-13)/(-2))/((-1)/(-2)). Suppose -k = -h + 3, -6*k = -h - k - g. Calculate the remainder when 19 is divided by h.
5
Let u(h) be the second derivative of h**4/12 - h**3 - 3*h**2 - h. Suppose 2*n = 2 + 2. What is the remainder when n is divided by u(7)?
0
Let h(o) = o**3 + 4*o**2 - 6*o - 2. Let r be 6 - (-2 + -10)/(-4). Suppose 7 + r = n. Calculate the remainder when n is divided by h(-5).
1
Let w = -41 - -69. Calculate the remainder when 82 is divided by w.
26
Suppose -4*a - u + 0*u + 154 = 0, 4*u = -a + 31. Suppose 0 = -0*y - 5*y + 4*q + a, 0 = 5*y - 3*q - 38. Calculate the remainder when 20 is divided by y.
6
Let k(v) = -v**2 + 7*v + 22. What is the remainder when k(9) is divided by 3?
1
Let k = -5 + 6. Suppose 0 = -r + 5*v - v - k, -2*r - v = -7. Suppose 0 = p + p + j - 45, -r*j - 15 = 0. What is the remainder when p is divided by 9?
7
Let a(x) = -x**2 - 9*x + 9. Let h be a(-9). Let c = h - 3. Calculate the remainder when 11 is divided by c.
5
Suppose -17 = -582*n + 581*n. Let k be -24 - (-2)/(-3 - -2). Let y = k - -75. What is the remainder when y is divided by n?
15
Calculate the remainder when 12 is divided by (6/(-12))/((-3)/30).
2
Let y be -60*(5/4 - 2). Suppose 4*k - 42 = -3*g - 6, 5*k - g - y = 0. Calculate the remainder when 26 is divided by k.
8
Suppose -5*x = -8*x + 42. Let c = 152 + -98. What is the remainder when c is divided by x?
12
Let g(o) = 5*o + 5. What is the remainder when g(11) is divided by 21?
18
Let f be 30/(-9)*(-108)/20. Suppose 0*c - 2*m + 2 = 3*c, 4*m + 36 = 4*c. Let y = f - c. What is the remainder when y is divided by 8?
6
Let q = 16 - 14. Suppose 5*v - 54 - 42 = b, -q*v = 5*b - 33. Calculate the remainder when v is divided by 10.
9
Suppose l + 3*f = -6 + 19, -5*f = -5*l + 5. What is the remainder when 14 is divided by l?
2
Suppose -5*f = c + 27, 0 = -5*c + 3*f - 6*f - 47. Let q = c + 11. Let b(d) = 3*d - 3. What is the remainder when b(4) is divided by q?
1
Suppose 0*j - 4*j + 60 = 0. Let t(a) = 11*a**2 + 2*a + 2. What is the remainder when t(-2) is divided by j?
12
Let d = 14 + -4. Suppose 112 = -s + 5*s. Calculate the remainder when s is divided by d.
8
Let k be (-4)/(-18) - (-2)/(-9). Suppose l = 2 - k. What is the remainder when 2 is divided by l?
0
Calculate the remainder when 67 is divided by 204/8*(1 - (-2)/6).
33
Suppose 0*w + 29 = w. Calculate the remainder when (-54)/(-90) - (-282)/5 is divided by w.
28
Suppose -13*z - 6 = -15*z. Calculate the remainder when 19 is divided by z.
1
Suppose 4*b = 2*f - 10, 5*f - 21 - 4 = -3*b. Suppose f*m - 3*m = 3*c - 125, m + 83 = 2*c. What is the remainder when c is divided by 14?
13
Let z(r) = -5*r - 14. Suppose 4*a + 5*c + 24 = 0, -5*a - c - 2*c = 43. What is the remainder when z(a) is divided by 11?
8
Calculate the remainder when (19 - -1) + 2 + 1 is divided by 12.
11
Let o(y) = -y**2 + y + 2. Let x be o(2). Suppose -2*g = -2*t - 20, -g + 6 = t - x*t. What is the remainder when 15 is divided by g?
7
Let n = 31 + -19. Let c = n - 3. Let i(j) = j**2 - 8*j - 3. What is the remainder when 10 is divided by i(c)?
4
Let r = -42 - -75. Suppose 3*t - 37 = 2*c, -c = -2*t + 2*c + r. What is the remainder when t is divided by 4?
1
Suppose 0 = -4*b - r + 3 - 0, -4*b - 4*r = 12. Let i = 7 - b. Calculate the remainder when 12 is divided by i.
2
Suppose -5*d - 139 = 31. Let q = 54 + d. What is the remainder when 59 is divided by q?
19
Suppo