What is the remainder when q is divided by r(0)?
9
Let s(z) = -3*z**2 - 26*z + 7. What is the remainder when 205 is divided by s(-8)?
21
Suppose 7*p = 6*p. Let x(y) = -2*y**3 - 3*y**2 - 4*y - 2. Let n be x(-2). Suppose p*z - 2*z = -n. Calculate the remainder when z is divided by 4.
1
Suppose 3*n - 4 = o, 5*n = 3*o - 5*o - 8. Let q = 250 + -140. Suppose n = 3*l - 34 - q. Calculate the remainder when l is divided by 17.
14
Suppose -4*z + 24 = -q, -2*q - 6 = -2*z - 3*q. Suppose z*u = 116 - 31. Calculate the remainder when u is divided by 10.
7
Let c(d) = d + 64. Calculate the remainder when 145 is divided by c(-15).
47
Let m = 31 + -20. Calculate the remainder when 43 is divided by m.
10
Let v be (-2)/(-4) + 14/4. Suppose 0*y + 3*y + 5 = 2*u, -v*u + 19 = -3*y. Suppose 2*m = -m + 36. Calculate the remainder when m is divided by u.
5
Let q(y) = 3*y**3 - 16*y**2 + 22*y - 12. Let l(o) = -2*o**3 + 11*o**2 - 15*o + 8. Let w(v) = 7*l(v) + 5*q(v). What is the remainder when w(3) is divided by 3?
2
Suppose -5*j + 3 + 3 = -z, -51 = -4*z + 5*j. What is the remainder when 37 is divided by z?
18
Let d = 266 + -123. What is the remainder when d is divided by 36?
35
Let a(p) = -p**2 + 6*p - 3. Let o be a(5). Suppose h + 4 = o*h. Suppose -t = 3*i - 23, -h*t = 3*i - 42 - 23. Calculate the remainder when t is divided by 8.
6
Let m(c) = c**2 + c. Let k be m(-3). Let r(l) be the first derivative of 7*l**2/2 - 2. What is the remainder when r(k) is divided by 22?
20
Let y = 7 - 3. Suppose -5*t = -4*o + 33, y*o + 0*t - 13 = t. Suppose -152 = -5*c + o*i + 156, 5*c + 2*i = 312. What is the remainder when c is divided by 21?
20
Let o(f) = f - 6. Let d be o(5). Suppose 5*w - 98 = -3*x, -4*x - 4*w = -95 - 33. Calculate the remainder when x is divided by 1 + -3 + (-18)/d.
15
Suppose 16 = 5*y + 5*h - 24, 0 = -3*y + 5*h - 8. What is the remainder when (-2 + 3)*(54 + -5)/7 is divided by y?
3
Suppose 10*c - 5*c = 15. Suppose -162 = 5*f + g, -3*f = -c*g + 51 + 39. What is the remainder when 16 is divided by f/(-6) + (-2)/(-3)?
4
Suppose -7*b = -4*b - 159. Let x(m) = -4*m - 6. What is the remainder when b is divided by x(-6)?
17
Let m(q) = -q**2 - 11*q - 4. Let l = 33 + -9. Suppose -u = -2*x - l, u = 4 - 0. What is the remainder when 10 is divided by m(x)?
4
Let w(z) = z - 127. Let h be w(0). Let l = 212 + h. What is the remainder when l is divided by 22?
19
Let p be (20/(-6))/((-4)/(-12)). Let d = 21 + p. Calculate the remainder when 18 is divided by d.
7
Let w = 94 - 32. What is the remainder when 32 is divided by 2/(3 + w/(-22))?
10
Let a = 7 + 5. What is the remainder when 4 is divided by 21/a + (-3)/(-12)?
0
Suppose 0 = -4*c - 2 + 10. Suppose c*g - f = 78, 164 = g + 3*g - 4*f. What is the remainder when g is divided by 10?
7
Let o(x) = x - 4. Let h be o(6). Suppose -3*y + 20 = h*y. What is the remainder when 11 is divided by y?
3
Let u(z) = -z + 16. Let o be u(12). What is the remainder when 1 is divided by 2 + (-2)/o*2?
0
Let x = 53 - -25. Calculate the remainder when x is divided by 20.
18
Let c = -51 + 55. Calculate the remainder when 22 is divided by c.
2
Let b be (0 - -42)*6/(-9). Let h = -14 - b. What is the remainder when h is divided by 8?
6
Let k = -2 + 3. Let q = 33 + -32. What is the remainder when q is divided by k?
0
Suppose -4*z - 3 + 11 = 2*s, 2*s = 5*z + 44. Let d = -3 - -24. Calculate the remainder when d is divided by s.
9
Let t = -12 - -91. Calculate the remainder when t is divided by 8.
7
Let y = 0 - -1. Suppose -3*k - 3*g = -8*k + 85, y = -k - 3*g. Suppose 4*l + 5*h - 65 = 18, -118 = -4*l + 2*h. Calculate the remainder when l is divided by k.
13
Suppose 24 + 32 = -2*a - t, -6 = 3*t. Let g = a - -40. Calculate the remainder when 38 is divided by g.
12
Let h(y) = -y**2 + 9*y - 11. What is the remainder when 13 is divided by h(6)?
6
Let k = 25 + -12. Calculate the remainder when k is divided by 1/(-1 - (-6)/5).
3
Let j be (-550)/(-8) - (-48)/(-64). Suppose 4*s = 4 + j. Calculate the remainder when 71 is divided by s.
17
Suppose 4*r + 364 = 4*t, -t - 4*r = -3*t + 172. Calculate the remainder when t is divided by 20.
16
Suppose -v - 2 = -0, -5*v = -2*c + 138. Calculate the remainder when c is divided by 13.
12
Suppose -5*q - 4*k = -16, -3*q + 4*k + 16 = -0*k. Calculate the remainder when 20 is divided by (q - 5)/(1/(-7)).
6
Suppose 61 = -26*n + 27*n. What is the remainder when n is divided by 16?
13
Let k(g) be the first derivative of -g**2/2 + 20*g + 2. Calculate the remainder when 17 is divided by k(11).
8
Let j(b) = 3*b - 2. Let a be (-41)/(-4) + 1/(-4). Suppose 0*d - 10 = -d. What is the remainder when j(a) is divided by d?
8
Suppose 6 - 1 = -v, -2*n = 5*v + 7. What is the remainder when 24 is divided by n?
6
Suppose x + 10 - 43 = 0. What is the remainder when x is divided by 7?
5
Let d(q) = q**3 + 4*q**2 - 5*q. Let h be d(-5). Let y be (11 - (0 + 1))/2. Suppose y*m - 20 - 10 = h. What is the remainder when 16 is divided by m?
4
Let l = 40 - 32. What is the remainder when 20 is divided by l?
4
Suppose -5*j + 21 = -2*j. Suppose -5*w = -54 - 1. What is the remainder when w is divided by j?
4
Suppose -7*u + 4*l = -2*u - 45, -2*u - l + 5 = 0. Suppose u*h - 290 = -0*h. What is the remainder when h is divided by 15?
13
Let w(r) = 2*r + 0*r + 2 - 2 - r**2 + 8. Calculate the remainder when w(0) is divided by 3.
2
Let z(i) = -i + 7*i**2 + 2 - 2 - 4 + i**3 + 2. Let v(p) = p**2 - 4*p - 2. Calculate the remainder when z(-7) is divided by v(5).
2
Suppose 5*j + 3*l - 76 - 51 = 0, -3*l - 11 = -j. Calculate the remainder when j is divided by 9.
5
Let f(l) = -l + 12. Let x(h) = -h**2 + 9*h - 7. What is the remainder when x(6) is divided by f(6)?
5
Let t(h) be the first derivative of -2*h**2 - 5*h + 6. Let l(o) = 4*o. Let f be l(-1). What is the remainder when t(f) is divided by 6?
5
Let l(f) = f**2 + 4. Let u be l(-3). Let q = 94 - u. What is the remainder when q is divided by 21?
18
Calculate the remainder when (-2)/8 - 21/(-4) is divided by 4.
1
Suppose 10*h - 300 = 6*h. What is the remainder when h is divided by 26?
23
Suppose -30 = -16*k + 13*k. What is the remainder when 36 is divided by k?
6
Let w = 38 + -10. Suppose -2*v + 0*v + 20 = 0. What is the remainder when w is divided by v?
8
Suppose -5*b + 115 = -10. Let r = -18 + b. Suppose -r - 9 = -t. What is the remainder when 46 is divided by t?
14
Suppose -2*u + 15 = -25. Let t = u + -6. Let o(n) = -15*n - 4. What is the remainder when o(-3) is divided by t?
13
Suppose 280 = -5*o + 345. What is the remainder when 219 is divided by o?
11
Suppose -r = -3*j + 8, -2*r + 4 = 3*j - 5*j. Calculate the remainder when 12 is divided by r.
5
Suppose -6 = 3*s - 3*v, 2*s - 4*v = 7*s - 8. Let r(j) = -j**2 - j + 12. Let q(f) = f**2 + f + 1. Calculate the remainder when q(4) is divided by r(s).
9
Let z = 0 - -12. Calculate the remainder when z is divided by 8.
4
Let m = -39 + 51. What is the remainder when 44 is divided by m?
8
Suppose -u - 3*w + 12 = -w, 4*w - 16 = -u. Let m(s) = -s**3 + 7*s**2 + 5. Suppose 2*v - 3 = 11. Calculate the remainder when u is divided by m(v).
3
Let r(o) = -o**2 - 13*o + 29. What is the remainder when 104 is divided by r(-14)?
14
Let t(v) = 2*v**2 - 4*v + 1. Let c be t(3). Suppose 0 = c*q - 2*q. Suppose q*y - 11 = -y + 3*k, 3*k = 0. Calculate the remainder when y is divided by 4.
3
Let j = -4 + 6. Suppose 4*n = -3*g - 36, 22 = -g - g - j*n. Calculate the remainder when 34/g*1*-4 is divided by 9.
8
Let k = -54 - -86. Let n(d) be the third derivative of 5*d**4/12 + d**3/6 + 2*d**2. What is the remainder when k is divided by n(1)?
10
Let t = 18 - 10. Calculate the remainder when 21 is divided by t.
5
Suppose 5*d - 8 = 12. Let n = 91 - 81. What is the remainder when n is divided by d?
2
Suppose -196 = 5*v - 9*v. What is the remainder when v is divided by 13?
10
Suppose -35 = -2*f - 5. What is the remainder when f is divided by 8?
7
Let z(t) = 2*t**2 + 37*t + 24. What is the remainder when 57 is divided by z(-18)?
3
Let u(t) = -t - 5. Let s be u(-10). Suppose s*f - 4*f - 9 = 0. Calculate the remainder when 34 is divided by f.
7
Let o = -92 + 116. Calculate the remainder when 140 is divided by o.
20
Let g(z) = z**2 + 6*z + 7. Let l(f) = f + 13. Suppose -2 - 1 = 2*o + w, 5*w + 15 = -5*o. What is the remaind