 by 5.
3
Suppose 0 = -5*w + 3*y + 414, -3*w + 92 = -2*w + 4*y. Suppose w = 5*s + 4. What is the remainder when 45 is divided by s?
13
Let m(p) = -p + 8. Let y be m(6). Let x(i) = -y*i**2 + 0 - i**3 - 2*i**3 - 3 - 2*i + i**3. Calculate the remainder when x(-2) is divided by 6.
3
Suppose -2*t + 0*t = -2. Let h = -1 + t. Suppose 3*p = -h*p + 78. Calculate the remainder when 50 is divided by p.
24
Suppose 0*q - 12 = -3*q. Suppose -35 - q = -v. Calculate the remainder when (v/(-6))/((-1)/2) is divided by 7.
6
Let u = -406 + 411. Suppose 3*f + 36 = 7*f. What is the remainder when f is divided by u?
4
What is the remainder when 78 is divided by (-1)/(-3) - (-80)/3?
24
Suppose 0 = 4*p + 5*r - 38, 0 = 3*p - 3*r + 2*r - 19. What is the remainder when (4 - 97/(-7)) + (-1)/(-7) is divided by p?
4
Suppose -13 - 7 = 5*z. Let m(t) = -t + 4. Suppose -2*n + 70 = 5*h - n, -h - 2*n = -5. What is the remainder when h is divided by m(z)?
7
Let i(w) = -2*w - 5. Let u be i(-4). Suppose 0*o - 30 = u*o. What is the remainder when (-1)/(o/(-11) - 1) is divided by 4?
3
Suppose -2*d + 3*d = 4*q - 135, 0 = 4*d + 12. Suppose q = -k - 1. Let y = k + 76. What is the remainder when y is divided by 22?
20
Let d(x) = x**2 - 4*x - 17. What is the remainder when d(-6) is divided by 16?
11
Calculate the remainder when (-2)/12 + 1734/36 is divided by 10.
8
What is the remainder when 8 is divided by 2 - (-5 - -1)*1?
2
Suppose 5*c - 99 = 2*c. What is the remainder when c is divided by 12?
9
Let b(j) = j**2 - j - 1. Let p be b(5). Suppose -h + 3*h + p = w, 65 = 5*w + 5*h. What is the remainder when 44 is divided by w?
14
Let m = -9 - 19. Calculate the remainder when 1*-2 - (m + 10) is divided by 6.
4
Let n(f) = 6*f - 7. Let q be n(5). Let x = q + -14. Calculate the remainder when 44 is divided by ((-25)/15)/((-1)/x).
14
Suppose -2*j - 20 = 3*j. Let q(d) = -d**3 - 3*d**2 + 6*d - 5. Calculate the remainder when (-11*6)/(6/j) is divided by q(-5).
14
Suppose 3*q - 189 = -3*p, -3*q + 0*q - 121 = -2*p. What is the remainder when p is divided by 195/12 - 5/20?
14
Suppose 0 = 4*p - 8, 2*s - 2 + 4 = 3*p. Suppose x - 4*x + 29 = s*m, -4*m - x + 33 = 0. What is the remainder when 19 is divided by m?
5
Let s(q) = -q**2 - 10*q - 8. Calculate the remainder when 47 is divided by s(-6).
15
Let f = 3 + -6. Let i be (-78)/(-2) - (f + 3). Suppose -3*b - 4 = -4*s + i, -3*b + 74 = 5*s. Calculate the remainder when s is divided by 8.
5
Let n(a) be the third derivative of 0*a + 1/24*a**4 + 5/3*a**3 + 0 - 2*a**2. Calculate the remainder when 28 is divided by n(0).
8
Calculate the remainder when (-7 - -5)/(-12) + 202/12 is divided by 9.
8
Let s(b) = 5*b - 2. Let k(g) = g**3 - 3*g**2 - 4*g + 2. Let f = 10 - 6. Let a be k(f). Calculate the remainder when s(a) is divided by 5.
3
Suppose -4*p + 2*p = -2*u, -2*p = 0. Let i(o) = -4*o - 9. Let y(s) = -s + 1. Let l(v) = -i(v) + 5*y(v). What is the remainder when l(u) is divided by 5?
4
Let h(d) = d - 2. Let z be h(2). Let l(t) = 4*t - 3. What is the remainder when l(4) is divided by 5/(z + 1)*1?
3
Suppose -4*n = -2*f + 26, -4*n - 3*f = -7*n - 15. Calculate the remainder when (n/3)/((-4)/12) is divided by 3.
2
Let b(i) = i**3 - 3*i**2 + 2*i - 13. What is the remainder when 42 is divided by b(4)?
9
Let f(r) = -r**2 - 16*r - 14. What is the remainder when 99 is divided by f(-12)?
31
Let m = 12 - 12. Suppose 5*o - 180 - 35 = m. What is the remainder when o is divided by 11?
10
Suppose -10 = -3*p + 11. Calculate the remainder when p is divided by 4.
3
Suppose -5*s + 10*s - 295 = 0. Suppose -a + p + 37 = 0, a - p = 3*a - s. Calculate the remainder when a is divided by 11.
10
Let v(b) = -2*b + 110. What is the remainder when v(0) is divided by 28?
26
Suppose -a + 21 = 3*a + 3*t, 2*t = 6. Suppose -a*c + 1 = -5. What is the remainder when c is divided by 1?
0
Let j = 36 + 12. Calculate the remainder when j is divided by 20.
8
Let l(d) = 8*d**2 - 3*d + 1. Let q be l(-3). Let s be q/(-3)*(-6)/4. Let x = s + -17. Calculate the remainder when x is divided by 13.
11
Let b = -36 - -41. What is the remainder when 9 is divided by b?
4
Let h(x) = -8*x**3 + 4*x - 1. Let d be h(-3). What is the remainder when (2*-1)/((-14)/d) is divided by 16?
13
Suppose u = 16 + 7. What is the remainder when 89 is divided by u?
20
Let r be (-1 - 6/(-4))*0. Suppose r = -0*b - 5*b + 60. Suppose 3*t - 2*t = 21. Calculate the remainder when t is divided by b.
9
Let q = 9 - 2. Suppose -2*j + 8*j - 270 = 0. Suppose -s - 3*i - 1 = -36, -2*s + j = i. Calculate the remainder when s is divided by q.
6
Suppose -57 + 312 = 3*w. Calculate the remainder when w is divided by 22.
19
Let r be (-50)/(-10)*(-129)/(-5). Suppose 2*i - r = -a - 50, 3*i + 4*a = 111. What is the remainder when i is divided by 14?
13
Suppose 3*k + 2*s + 44 = 0, 3*k - s - 4*s + 37 = 0. Let w = k + 37. Calculate the remainder when 45 is divided by w.
22
Let p = 61 + -24. Calculate the remainder when p is divided by 7.
2
Let w be 2/10 - (-48)/10. Suppose -w = -2*f + 1. Suppose -2*o + 2*c = -6, -2*c = 2*o + 2*c - 30. What is the remainder when o is divided by f?
1
Let d(x) = x**3 - 12*x**2 + 5*x - 30. Calculate the remainder when 117 is divided by d(12).
27
Let d(l) = 7*l**2 + 4*l - 4. Let k(x) = -10*x**2 - 6*x + 6. Let z(f) = -7*d(f) - 5*k(f). What is the remainder when z(-5) is divided by 5?
3
Suppose 0*m - 57 = -2*m + 3*h, 0 = -3*m - 2*h + 66. Calculate the remainder when m is divided by 13.
11
Suppose 0 = -5*q + 56 + 69. What is the remainder when q + 3/(6/4) is divided by 10?
7
Let h(w) = w + 4. Let m be h(-3). Calculate the remainder when 55 is divided by (0 - m) + 60/4.
13
Let h(d) = d**3 + 2*d**2 - 2*d - 2. Let u be h(2). Let w = 28 - u. Let n(m) = 34*m**2 + m + 1. What is the remainder when n(-1) is divided by w?
16
Let o = 34 - 28. What is the remainder when 10 is divided by o?
4
Suppose -4*o - o - 3*b + 50 = 0, 0 = -3*o + 4*b + 30. Let h(j) = -j + 1. What is the remainder when o is divided by h(-5)?
4
Suppose -3*l - 16 = -7. Calculate the remainder when 11 is divided by 1 - (-2 - l)*-3.
3
Suppose -4*s + 0*s = -68. Let n = -8 - 0. Let l = n + 57. What is the remainder when l is divided by s?
15
Suppose -20 = -x + 5*x, -4*p + 5*x = -57. What is the remainder when 20 is divided by p?
4
Let p = 71 + -59. Calculate the remainder when 31 is divided by p.
7
Let b(t) = t**2 - 1. What is the remainder when b(-2) is divided by 2?
1
Let j(a) = a**3 - 8*a + 6*a**2 + 9 + 0*a - 10*a**2. Calculate the remainder when j(6) is divided by 7.
5
Suppose -o - 156 = -5*o. Suppose -o = -n - 4. Suppose 4*v - 34 - 14 = 0. What is the remainder when n is divided by v?
11
Suppose 0*y - 4*y = -60. Let x(r) = 2*r**2 + 8*r - 3. Calculate the remainder when x(5) is divided by y.
12
Suppose -76 = -676*u + 674*u. Let i(h) = 5*h**2 + h - 2. What is the remainder when u is divided by i(2)?
18
What is the remainder when 11 is divided by (-14)/(-35) - 36/(-10)?
3
Let u(d) = 4*d - 2. Let g be u(4). Let k = 2 + g. Suppose 24 = 4*l + 4*y, -l - 57 = -6*l + 4*y. What is the remainder when k is divided by l?
7
Suppose 107 - 283 = -4*d. Suppose -1 = -t, -2*g = -t - d - 3. What is the remainder when 93 is divided by g?
21
Suppose 0 = -8*f + 3*f. Suppose 3*q + 4*o - 93 = f, -1 = 3*q - o - 109. What is the remainder when q is divided by 12?
11
Let l = 14 - 8. Let f = l + 2. Let q(i) = 31*i**2 + 2*i + 1. What is the remainder when q(-1) is divided by f?
6
Let i(c) = c**3 + c - 18. Let a be i(0). Let y = a - -25. Calculate the remainder when 20 is divided by y.
6
What is the remainder when (-12)/(-4) + -6 + 24*1 is divided by 10/(-2)*24/(-10)?
9
Suppose -m - 3*i - 2 = 2, 0 = -i - 2. Let j be -3 + m + (-9)/(-3). Suppose -j*t - t + 18 = 0. Calculate the remainder when 11 is divided by t.
5
Suppose r = 2*r. Suppose -i + 4*i = r. Let o = i - -3. Calculate the remainder when 8 is divided by o.
2
Let g be 77/(-2) - 2/(-4). Let y be (-5)/25 + g/10. What is the remainder when 17 is divided by (8 - 14)/(y/6)?
8
Suppose q + 2*q + 18 = 0. Let i = 9 + q. What is the remainder when 22/i - 2/6 is divided by 3?
1
Suppose -99 = -8*s + 5*s. Calculate the remainder when 130 is divided by s.
31
Let x = 50 - 30. Suppose 12 = 6*q - 2*q. Suppose i = 4 + q. Calculate the remainder when x is divided by i.