). Suppose 3*c + 2*w - 3 = -5, -4*c - w - r = 0. Calculate the remainder when z(c) is divided by 17.
15
Suppose 5*q + 0*q - 25 = 0. What is the remainder when 7 is divided by q?
2
Let z = 4 + -1. What is the remainder when z is divided by 2?
1
Calculate the remainder when 61 is divided by (-8 + 0)/((-3)/12).
29
Calculate the remainder when -2 + 2/2 - -58 is divided by 20.
17
Suppose -i = 4*a - 13, -a = -4*i - 5*a + 40. Let l(m) = -m**3 - m**2 + m + 2. Calculate the remainder when l(-3) is divided by i.
8
Suppose -2*m + 8 = -42. What is the remainder when m is divided by 10?
5
Let i(t) = t**2 - 13*t + 24. Let d be i(11). Let n = 23 - d. What is the remainder when 62 is divided by n?
20
Let n(z) = z**2 + z + 10. Calculate the remainder when n(-4) is divided by 6.
4
Let f(w) = w**3 + 8*w**2 - 9*w + 6. Calculate the remainder when 23 is divided by f(-9).
5
Let u(q) be the first derivative of 2*q**3/3 + q**2 + q + 1. Let i be u(-2). Suppose i*c - 51 = -21. Calculate the remainder when 11 is divided by c.
5
Let l(c) = -6*c - 6. Calculate the remainder when l(-4) is divided by 5.
3
Let v = 27 - 26. Suppose 0*c + 4 = 2*c. Suppose -c = -3*f + f. Calculate the remainder when f is divided by v.
0
Let o = -56 + 86. Calculate the remainder when o is divided by 8.
6
Let s = 13 - 6. What is the remainder when 19 is divided by s?
5
Let m = -16 - -22. Suppose n - 27 + m = 0. What is the remainder when n is divided by 6?
3
Let l be (-6 - -3 - -5) + 1. Let a = l + 6. Calculate the remainder when 17 is divided by a.
8
Let d(a) = -a**3 + 2*a + 54. What is the remainder when d(0) is divided by 15?
9
Suppose -5*p + 10 = -15. Suppose 5*b = 20, -3*j - p*b + 28 = -19. What is the remainder when 35 is divided by j?
8
Let d(j) = j**2 + j + 3. Let l be 1 + -2 - (-21)/3. Suppose -1 + l = y. Calculate the remainder when d(-3) is divided by y.
4
What is the remainder when 1 + (10 + 32 - 3*-1) is divided by 16?
14
Suppose -37 = -n + 5. Let q be (5/15)/((-2)/n). Calculate the remainder when 15 is divided by (-3)/(-6) + q/(-2).
3
Suppose 0*z - z = -26. Suppose 5*n = -q - 38, -8 = 4*n + q + 23. Let g(t) = -11*t - 1. What is the remainder when g(n) is divided by z?
24
Suppose -22 = -w + 4*p, p = -4*w + 6*p + 33. Suppose 0 = 3*v - 3, 2*o + 3*v - 8 = o. What is the remainder when o is divided by w?
1
Let d = 7 + -9. What is the remainder when (-254 + -13)/(d - 1) is divided by 30?
29
Let s(u) = 9*u - 1. Let o(n) be the second derivative of n**5/20 - n**3/6 + 3*n**2/2 + n. Calculate the remainder when s(1) is divided by o(0).
2
Let k(a) = a**2 + 7*a - 2. Let p be k(-5). Suppose 0 = 2*d + 57 - 125. Let x = p + d. What is the remainder when 65 is divided by x?
21
Calculate the remainder when (-2)/9 + 2982/54 is divided by 29.
26
What is the remainder when 43 is divided by (-6)/(-4) + (-1 - 74/(-4))?
5
Suppose -3*q - 4*z = -18, -q - 2*z - 2 = -10. Suppose q*f = -0*f + 18. Calculate the remainder when 17 is divided by f.
8
Suppose 0*u + 10 = 2*u, 2*j - 4*u = 36. Let o = 10 + j. Let i(s) = -s + 7. Calculate the remainder when o is divided by i(-6).
12
Suppose 5*p - 208 = 157. Calculate the remainder when p is divided by 19.
16
Suppose -8 = j + 8. What is the remainder when ((-44)/(-2))/(j/(-8)) is divided by 3?
2
Let s(d) = 2*d - 5. Let q(p) = p**2 + 4*p + 5. Let l be q(-6). Suppose u - l = -1. What is the remainder when u is divided by s(7)?
7
Suppose 3 = 3*d, -6*l = -3*l - 2*d - 13. Suppose 3 + 135 = 3*o. Suppose b - 4*w = 3*b - 28, 2*w = -5*b + o. What is the remainder when b is divided by l?
3
Suppose 3*w - 23 + 8 = 0. Suppose -f = -w*r + 16, 2*f - f + 13 = 4*r. Suppose 11 = 4*v - r*v. What is the remainder when v is divided by 4?
3
Suppose 0*f - 2 = -f. Suppose 13 = f*q - 13. What is the remainder when q is divided by 5?
3
Let y(d) = -d**2 - 11*d. Let i be y(-8). Let u = i - 4. What is the remainder when u is divided by 11?
9
Let l(m) = 173*m - 4. What is the remainder when l(1) is divided by 17?
16
Calculate the remainder when 1/2 - (-131)/2 is divided by 17.
15
Suppose 2*k - 4*k = -20. Calculate the remainder when 27 is divided by ((-4)/k)/(2/(-70)).
13
Let k = -5 - -7. Let b = 3 + 28. Suppose -43 = -k*r + b. What is the remainder when r is divided by 10?
7
Let h(v) = -v**3 - 7*v**2 - 2*v - 9. Let r be h(-7). Suppose r*u + 112 = 4*c - 0*c, -2*c + 86 = 5*u. Calculate the remainder when c is divided by 17.
16
Let c(f) = f**2 - 5*f + 3. Let x be c(5). Suppose x*v + 44 = 7*v. Calculate the remainder when 21 is divided by v.
10
Suppose -5*q - 4*y + 223 = 0, 0*y = -5*q + 4*y + 207. Calculate the remainder when q is divided by 22.
21
Let q = 101 + -55. Calculate the remainder when q is divided by 12.
10
Let o(h) = -50*h. Calculate the remainder when o(-1) is divided by 17.
16
Suppose 0 = 4*m - 5*c - 463, 4*c = 4*m + m - 572. What is the remainder when m is divided by 23?
20
Let v(b) = b**3 + 5*b**2 - 2*b - 2. Suppose 10*n = -2*n + 348. Calculate the remainder when n is divided by v(-5).
5
Let s(i) = i**2 + i + 3. Calculate the remainder when s(-6) is divided by 17.
16
Let v(k) = 20*k - 1. Let q be 9*(-1)/(-3)*4. Suppose -2*p = q - 32. What is the remainder when v(1) is divided by p?
9
Let d = 6 - 0. Let s(b) = -5*b**2 + b**3 - d*b**2 - 5 + 3*b**3 + 4*b - 3*b**3. What is the remainder when s(11) is divided by 10?
9
Let q(a) = -1 + 0*a + 6*a + 6 - 5*a. What is the remainder when 2 is divided by q(-4)?
0
Let o = 33 + -11. Let r = o - 3. Calculate the remainder when 37 is divided by r.
18
Let d = -5 - -1. Let b be d/10 - (-4)/10. Suppose -2*x = -b*x - 96. Calculate the remainder when x is divided by 17.
14
Let y be 2/4 + (-3)/(-2). Suppose -2 = y*v - 6. Suppose 2*q + v*m - 41 = 81, 5*q - m - 275 = 0. What is the remainder when q is divided by 19?
18
Let n(t) = 4*t**3 - 3*t**2 + 3*t. Let i = -14 + 12. Let j = i - -9. Calculate the remainder when n(2) is divided by j.
5
Let z(r) be the second derivative of 13*r**4/4 - r**3/6 + r. What is the remainder when z(1) is divided by 13?
12
Let s(t) = 17*t**2 - t - 2. Let z = -1 - 1. Calculate the remainder when s(z) is divided by 14.
12
Suppose -13*y + 48 + 173 = 0. Suppose -5*v = 48 - 298. Calculate the remainder when v is divided by y.
16
Let p(g) = 5*g**2 + 3*g + 5. Let b be p(-4). Let u = 107 - b. Calculate the remainder when u is divided by 12.
10
Let n be (26/(-5))/(5/25). Let k = n - -45. Calculate the remainder when k is divided by 10.
9
Let n(j) = 3*j + 1. Let b be n(-1). Let f(t) = 11*t**2 + 2*t - 2. Calculate the remainder when f(b) is divided by 13.
12
Suppose 5*m - 428 = 12. What is the remainder when m is divided by 45?
43
Suppose 4*z - 522 = -5*b, -403 = 2*z - 5*z + 2*b. Suppose 0 = j + 4*w + 18 - 48, -5*j - 3*w = -z. What is the remainder when j is divided by 7?
5
Let n = 11 + -10. Let u = n + 2. Calculate the remainder when 3 is divided by u.
0
Let u(l) = 3*l - 19. What is the remainder when 46 is divided by u(9)?
6
Calculate the remainder when (0 + -2)*(-20)/1 is divided by 14.
12
Let i(n) = n**2 + 2*n - 3. Let b be i(-3). Suppose -3*o + b*o = -57. Calculate the remainder when o is divided by 7.
5
Let h(b) = 11*b**3 - 11*b**2 - 8*b + 3. Let t(g) = 4*g**3 - 4*g**2 - 3*g + 1. Let w(c) = 3*h(c) - 8*t(c). What is the remainder when 37 is divided by w(3)?
18
Suppose 5*c + 17 = -18. Let k(o) = -o**2 - 6*o + 7. Let t be k(c). Suppose d - 5 - 3 = t. What is the remainder when 30 is divided by d?
6
Suppose 0 = -7*b + 15*b - 120. Calculate the remainder when 101 is divided by b.
11
Suppose -2*q = q. Suppose q = -d + 5 + 15. Let o = d - 8. Calculate the remainder when o is divided by 7.
5
Let r(v) = v**3 + 6*v**2 - 2*v - 9. What is the remainder when r(-6) is divided by 1?
0
Suppose -2*w = 579 - 177. Let x be w/(-39) - (-4)/(-26). Let i = 2 + x. What is the remainder when 13 is divided by i?
6
Let a = -2 - -29. Suppose 5*u - 2*u = -a. Calculate the remainder when 5 is divided by ((-1)/(-3))/((-1)/u).
2
Let m be (-3)/(-3 - 54/(-19)). Suppose 0 = n - m - 3. What is the remainder when 87 is divided by n?
21
Let y(v) = 2*v**2 + 5*v - 3. Let l be y(-5). Suppose -13 = -5*t + l. Suppose 4*c + 7*c = 132. What is the remainder when c is divided by t?
5
Suppose 405 = 4*s + 5*g, -g + 521 = 4*s + 104. Let u = -56 + s. Calculate the remainder when u is