*x - 4*x. What is the remainder when x is divided by 8?
6
Let l(q) = 57*q**2. Calculate the remainder when l(1) is divided by (-5 - -15)/((-4)/(-6)).
12
Let q(h) = -5*h**3 - 4*h**2 - 4*h - 3. Suppose -10 = 5*r + 3*s + 3, -3*r + 4*s = 2. Calculate the remainder when q(r) is divided by 16.
13
Suppose 0 = -5*l - 0*l + 270. Calculate the remainder when l is divided by 19.
16
Let r be 2 + -5 - (-123)/3. Suppose 3*a - 5*a = -r. Calculate the remainder when a is divided by 10.
9
Suppose -4*n = -3*d - 72, -2*d - 83 = -3*n - 7*d. Calculate the remainder when n is divided by 8.
5
Let c = 94 - 70. What is the remainder when 60 is divided by c?
12
Let v = -31 - -35. Let i(w) = -4*w + 1. What is the remainder when i(-2) is divided by v?
1
Let x(m) = -m**3 + 5*m**2 + 6*m + 2. Let z(p) = -p - 1. Let s(l) = -x(l) - 6*z(l). What is the remainder when s(5) is divided by 3?
1
Let v(p) = -10*p - 5. Suppose 5*h - 79 - 6 = 0. Calculate the remainder when v(-7) is divided by h.
14
Suppose -3*m - 17 = 2*f, f - m + 1 + 0 = 0. Let z be 1/f - (-1070)/(-8). What is the remainder when 37 is divided by z/(-10) - (-2)/(-5)?
11
Let s(z) = -z**3 - 4*z**2 + 3*z - 4. Let g be 4/16*4*-5. Calculate the remainder when 22 is divided by s(g).
4
Let y = -14 - -24. Calculate the remainder when (-4)/y - 82/(-5) is divided by 9.
7
Suppose 5*o - 53 - 17 = 0. What is the remainder when 53 is divided by o?
11
Let w(l) = -7*l + 3. What is the remainder when w(-6) is divided by -1 + (-2)/(2/(-13))?
9
Let p = 15 - 5. Suppose 4*w = 63 + 121. Let d = w - 28. What is the remainder when d is divided by p?
8
Let o(b) = 26*b**2 + b - 1. Let k be 1/(-2) + 98/4. Let v = k - 10. Calculate the remainder when o(1) is divided by v.
12
Let a(k) = -3*k + 7*k**2 + 0*k**2 + 3 - k + k**3. What is the remainder when a(-7) is divided by (-154)/(-10) - (-4)/(-60)*-9?
15
Suppose 277 + 218 = 3*w. Let b = -98 + w. What is the remainder when b is divided by 23?
21
Suppose -a = -2*q - 58, 3*a + q - 164 = 2*q. Calculate the remainder when 267 is divided by a.
51
Let d = 41 - 18. Calculate the remainder when d is divided by 6.
5
What is the remainder when 19 is divided by 1/((-4 - 0)/(-16))?
3
Let m = 69 - 39. Calculate the remainder when m is divided by 16.
14
Let v(f) = f**3 - 14*f**2 + f + 1. What is the remainder when v(14) is divided by 10?
5
Suppose -5*a - 3*n = -22, 0 = -4*a - 6*n + 2*n + 24. Suppose j + 57 = a*o - 27, -j = -4*o + 170. Calculate the remainder when o is divided by 11.
10
Let h(z) = -7*z - 17. What is the remainder when h(-5) is divided by 10?
8
Let a(r) = -3*r + 5. Let q be a(7). Let m = -1 - q. Calculate the remainder when 29 is divided by m.
14
Let j(s) = 8*s - 3. Let k be j(2). Let c be k/3 - (-6)/(-18). Suppose -c*h + 57 = 9. Calculate the remainder when 46 is divided by h.
10
Suppose 0 = 3*l - 6*q + 3*q - 36, -4 = 4*q. Calculate the remainder when 32 is divided by l.
10
Suppose 18 = z + 5*k, -2*k - 6 = -5*z + z. Calculate the remainder when 4 is divided by z.
1
Let m = 4 + -2. Suppose -4 = -m*b + 10. Suppose -4*u + 80 = 3*j + j, -3*j - 80 = -4*u. Calculate the remainder when u is divided by b.
6
Let d = 23 - -17. Suppose 0 = 3*h - 3*y - 30 - 9, -57 = -4*h - y. What is the remainder when d is divided by h?
12
Suppose 3*d - 33 = 3*q, 3*q = -d + 40 - 9. Suppose 5*k - d = -6. Suppose -3 = -2*x + 3. Calculate the remainder when x is divided by k.
1
Let t(q) = q**3 - 11*q**2 + 2*q + 16. Let i be t(11). Let u be i*((-3)/(-2) - 0). Suppose -5*l - u = -152. Calculate the remainder when 36 is divided by l.
17
Let k(p) = -24*p**2 - 6*p. Let j(f) = -23*f**2 - 7*f. Let q(g) = 5*j(g) - 6*k(g). Suppose -16 = -i - 0*i. Calculate the remainder when q(1) is divided by i.
14
Suppose -33 = 2*b - 3*b - 5*w, 4*b = 4*w + 12. Suppose 2*d = 4*d - 6. Calculate the remainder when b is divided by d.
2
Suppose -5*p + 65 = -4*f, 3*p = -3*f - 0*f + 12. What is the remainder when 43 is divided by p?
7
Suppose -2*s + 145 = s - 5*x, 5*s + 3*x - 219 = 0. Let k(f) = 2*f**2 + 6. Calculate the remainder when s is divided by k(-3).
21
Suppose -y = 7*y - 256. Calculate the remainder when 125 is divided by y.
29
Suppose 0 = 3*c + n + n - 16, 3*n - 17 = -c. Suppose 2*m + c - 8 = 0. What is the remainder when 33/6 + (-2)/4 is divided by m?
2
Suppose 7 = 4*o - y, -2*o - 3*y + 36 = 15. Suppose 0 = 7*w - o*w + 4*a - 60, -w + a = -5. Calculate the remainder when 18 is divided by w.
8
Let x = 18 + -10. Let w = x - 5. What is the remainder when 4 is divided by w?
1
Suppose -54 = -0*f - 3*f. What is the remainder when f is divided by 0 + (-3 - -5) + 8?
8
Suppose m = -4*h + 637, -5*h - 4*m = m - 785. What is the remainder when h is divided by 9?
7
Let r = -12 + 3. Let k = r - -22. What is the remainder when 50 is divided by k?
11
Let g(c) = 17*c**2 + 3*c + 5. What is the remainder when g(-2) is divided by 23?
21
Suppose h + 33 = -0*h. Let x = 198 - 125. Let l = x + h. What is the remainder when l is divided by 14?
12
Let c be ((-37)/(-5))/((-2)/(-10)). Let u = -26 + c. What is the remainder when 52 is divided by u?
8
Let g = -46 - -31. Calculate the remainder when (-9)/(-18) + 33/2 is divided by (18/g)/((-1)/5).
5
Let j(x) = -31*x - 5. Let t be j(-2). Suppose 0*d - t = -3*d. Calculate the remainder when d is divided by 7.
5
Let x(n) = -n**3 + 5*n**2 + 7*n - 5. Let f be x(6). Let m = f - -11. Calculate the remainder when 47 is divided by m/(3 + 0)*4.
15
Let r be (-1 + 5)/((-8)/4). Let a be (12/(-8))/(r/4). Suppose -a*u + 18 = -0. Calculate the remainder when 22 is divided by u.
4
Let s = 19 + -7. Let r(j) = -5*j - 2. Let k be r(-5). Let p = 0 + k. Calculate the remainder when p is divided by s.
11
Let q = -19 + 60. Suppose 2*j = -5*h - j + 49, 4*h + 3*j = q. What is the remainder when (-6 - -4) + 5 - -12 is divided by h?
7
Suppose -4*g = -g + 3*t - 9, 5*t = 2*g + 15. Suppose g = j - 4*l - 66, 3*l = -4*j + 11 + 177. What is the remainder when j is divided by 17?
16
Suppose 5*s - 2 = 3*s, o - 5*s - 8 = 0. What is the remainder when 51 is divided by o?
12
Let z(k) = 7 - k + 3 + k - k. Calculate the remainder when 30 is divided by z(-6).
14
Let y = 8 + 84. Let s = -66 + y. Calculate the remainder when s is divided by 9.
8
Let k(u) = 2*u**2 - 30*u + 23. Calculate the remainder when k(20) is divided by 25.
23
Suppose -2*s = 8 - 20. Suppose 0 = w - 5*t + 2 + 4, -3*t - s = -3*w. What is the remainder when (28/(-12)*-3)/1 is divided by w?
3
Let x = 69 + -126. Let f = -27 - x. Let t = -15 + f. Calculate the remainder when 29 is divided by t.
14
Let y be 1/(-1)*-2*4. Let f = y + 2. Suppose o = -5*m + 182, 105 = 3*m - 3*o + 5*o. What is the remainder when m is divided by f?
7
Suppose -576 = -0*i - 2*i - 4*o, 0 = -4*i + 4*o + 1092. Calculate the remainder when i is divided by 35.
33
Let x = -11 - -26. Let m(y) = -y + 20. What is the remainder when x is divided by m(11)?
6
Let r = -2 + 21. Let w(b) = 5*b + 4. Let z be w(4). Let m = z - 17. What is the remainder when r is divided by m?
5
Suppose 21 = 5*m - 34. Calculate the remainder when 21 is divided by m.
10
Let w = 3 + 10. Calculate the remainder when (-274)/(-10) + (-2)/5 is divided by w + 3 + (-2 - 0).
13
Suppose 273 = 8*o - 191. Calculate the remainder when o is divided by 20.
18
Suppose 2*m + 56 = 6*m. What is the remainder when m is divided by 6?
2
Suppose 0 = -4*k + 2*v + 18, -k + 3*k - 3*v = 19. Let a(x) = x + 3. Let l be a(0). Let g = l + k. What is the remainder when g is divided by 3?
2
Suppose -v + 4*v + 62 = 5*o, 0 = 5*o + 5*v - 70. What is the remainder when 37 is divided by o?
11
Let p(l) = l**3 + 12*l**2 - 14*l - 15. Let z be p(-13). Let t = z - -30. Calculate the remainder when t is divided by 10.
8
Let n be 24/(-15)*5/(-2). Suppose n = i, 3*i - i = 2*q - 122. Calculate the remainder when q is divided by 22.
21
Suppose 0 = -3*f - 4*h + h + 9, f - 9 = 2*h. Suppose 8*j - f*j = 51. What is the remainder when j is divided by 10?
7
Suppose 9*p + 52 = 13*p. What is the remainder when p is divided by 52/12 + (-4)/(-6)?
3
Suppose -5*q + 3*i + 0*i + 77 = 0, -2*i + 18 = 2*q. Let r = 73 + -23. Calculate the remainder when r is divided by q.
11
Suppose -2*t = -67 + 23. Calculate the remainder when t is divided by 12.
10
Let n(t) be the second derivative of t**4/12 - t**3/6 - 3*t**2/2 + t. What 