4. Let w be z(x). Suppose w = o - 5. Calculate the remainder when 30 is divided by o.
8
Let t = -74 + 96. Calculate the remainder when ((-620)/15)/(6/(-9)) is divided by t.
18
Let a = 21 - 16. Suppose a*v - 8 = 7*v. What is the remainder when (6/v)/(33/(-110)) is divided by 2?
1
Let k(m) = 4*m + 121. Calculate the remainder when 61 is divided by k(-27).
9
Let c = -24 - -21. Let k = 8 - c. Let n(l) = -6*l + 3. Calculate the remainder when n(-3) is divided by k.
10
Let y = -5 - -22. Suppose 5*o = -50 - 75. Let t = -15 - o. Calculate the remainder when y is divided by t.
7
Suppose -3*k + 1 = -8. Suppose -k*f = -4*f - 4. Calculate the remainder when 25 is divided by f/14 - 306/(-42).
4
Let f = -141 - -486. What is the remainder when f is divided by 22?
15
Let t(k) = -2*k**3 + 17*k**2 + 56*k + 11. Let o(j) = -j**3 + 6*j**2 + 8*j - 8. Calculate the remainder when o(6) is divided by t(11).
18
Let l(j) = -j**3 - 13*j**2 - 21*j + 13. What is the remainder when 11 is divided by l(-11)?
1
Suppose 3*x - 78 = -c - 2*c, 3*c - 43 = 4*x. Let b(v) = 7*v + 4. Calculate the remainder when b(8) is divided by c.
18
Let o(j) = -2*j**3 - 3*j**2 - 10. Let l = 3 - -12. Calculate the remainder when o(-4) is divided by l.
10
What is the remainder when (-1 + 3)/(-7*38/(-93765)) is divided by 12?
9
What is the remainder when 447/(-18*5/(-60)) is divided by 40?
18
Let y = 877 + -831. Calculate the remainder when 86 is divided by y.
40
Suppose 5*m = -2*v + 199, -5*m - v = 2*v - 196. What is the remainder when m is divided by 35?
6
Let i = 79 - 40. What is the remainder when 466 is divided by i?
37
Let s(g) = 11*g**2 + 4*g - 4. Let n(r) = r**3 + 4*r**2 - 6*r - 4. What is the remainder when n(-4) is divided by s(1)?
9
Suppose -17*b = -16*b - 10. What is the remainder when 537 is divided by b?
7
Let k(s) = -3*s**3 - 6*s**2 + 16*s + 14. What is the remainder when k(-6) is divided by 13?
12
Suppose 5*h - 4*m - 306 = 0, -h - 60 = -2*h + 2*m. What is the remainder when h is divided by 14?
6
Let g = -242 - -141. Let u = g + 116. What is the remainder when u is divided by 3?
0
Calculate the remainder when 48 is divided by 2*2*187/(-176)*-4.
14
What is the remainder when (-1 + -61)*(7 - 135/18) is divided by 13?
5
Suppose -5 = -b, -4*b - 25 - 31 = -4*y. What is the remainder when 169 is divided by y?
17
Suppose -47*t - 5110 = -75046. Calculate the remainder when t is divided by 71.
68
Let x = -64 - -217. What is the remainder when x is divided by 6/(-33) - (-312)/22?
13
Let x(u) = 11*u**3 - 2*u**2 - 4. What is the remainder when 294 is divided by x(2)?
66
Let g be (-4)/(-7) - 52/(-7). Suppose -6 = -2*h + j, -5*h + 4*h = 5*j + g. Calculate the remainder when 55/h - (-30)/20 is divided by 15.
14
Suppose 7*n - 56 = 28. Let t be (-6)/(-9)*6/2. Suppose 3*c = -5*v + 213, -t*v - 2*c + 37 = -v. What is the remainder when v is divided by n?
9
Let t = 18 + -18. Suppose 2*y = 3*g + 2*g + 4, t = 5*y + g - 10. Calculate the remainder when 2 is divided by y.
0
Suppose -k = -5*o + 70, -3*o - 5*k + 107 = 37. Let m be ((-122)/(-3))/((-10)/o). Let j = m + 127. What is the remainder when j is divided by 17?
15
Let u(o) = -152*o - 148. What is the remainder when (3/(-2))/(1/(-18)) is divided by u(-1)?
3
Let n be 60/35 - 4/(-14). Let l(y) = 12*y**3 + y**2 + y - 1. Let f be l(1). Suppose 9 + f = n*o. What is the remainder when 30 is divided by o?
8
Suppose 3*d + 680 = 4*g, d = -4*g + 2*d + 672. What is the remainder when g is divided by 16?
7
Let b(w) = -w**2 + 11*w - 6. Suppose 5*c + 3*j + 9 = c, j = -5*c - 14. What is the remainder when 2*142/4 + c is divided by b(8)?
14
Let p = 21 - 20. Let j = p + 57. Calculate the remainder when j is divided by 30.
28
Let k(q) be the third derivative of q**5/20 - q**4/8 + q**3 - q**2. Let v(c) = c + 21. Let s be v(-17). What is the remainder when k(s) is divided by 15?
12
Suppose 0 = 6*k - 3*k - 24. Suppose 0*x + 32 = k*x. Calculate the remainder when 10 is divided by x.
2
Suppose -3*g + 3*x + 12 = 0, -3*g + 8 = -4*g - 5*x. Suppose y = -g*y + 30. Calculate the remainder when (189/(-28))/(2/(-8)) is divided by y.
7
Suppose -11*x + 18*x - 322 = 0. Calculate the remainder when 62 is divided by x.
16
Let r = 220 - 213. Suppose 63 + 13 = 4*w. What is the remainder when w is divided by r?
5
Let d(w) = 9*w**2 - w + 7. Calculate the remainder when d(-3) is divided by 46.
45
Let q = 2 + 2. Let n be (-3)/((-12)/q)*54. Suppose 5*w + u = n, 2*w - 3 = 5*u + 24. Calculate the remainder when w is divided by 3.
2
Calculate the remainder when ((-13)/(-4))/((-4)/(-272)) is divided by 76.
69
Suppose 5*u + 3*j - 28 = 0, -10*u - 4*j + 29 = -5*u. Suppose -4*s - u*v + 67 = 0, 5*s - 3*v - 130 = -0*s. What is the remainder when 64 is divided by s?
18
Suppose -120*b = -112*b - 2040. What is the remainder when b is divided by 88?
79
Let n(y) = -y**2 + 22*y + 30. What is the remainder when n(11) is divided by 52?
47
Let k be -2 + 28/2 - -2. Let q = k + -14. Suppose 2*y - y - 5 = q. What is the remainder when y is divided by 2?
1
Let h(c) = c**3 + 7*c**2 - 18*c + 1. Let n be h(-9). What is the remainder when (-1468)/(-36) + n - (-10)/45 is divided by 11?
9
Let b be (-3)/(-3) + (-3 - -6). Let q(i) = 2*i**3 - 6*i**2 - i + 5. Suppose 41 = 3*u - s, 4*u + s = u + 31. What is the remainder when q(b) is divided by u?
9
Suppose 4 = -4*z + 2*z. Let q(h) = 10*h**3 + 1. Let b be q(z). Let l = 132 + b. What is the remainder when l is divided by 28?
25
Let n = -20 - -34. Suppose 10 = 4*u - 2*u. Calculate the remainder when n is divided by u.
4
Let s(n) = n**2 + n - 10. Let l be s(-3). What is the remainder when 9*((-7)/(-3) - l) is divided by 20?
17
Let t(d) = d**3 - 3*d**2 + 6*d - 1. Let o be t(4). Suppose o*b = 38*b + 8. What is the remainder when 13 is divided by b?
5
Suppose 6*q + 12 = 3*q. Let l(d) = -23*d - 10. Let s be l(q). Suppose 5*m + 3*z = 315, -53 = -2*m - 3*z + s. Calculate the remainder when m is divided by 21.
18
Let k = 47 + -33. Suppose 4*c - 30 = 2*w, w + 18 = -w + c. Let b = 11 + w. What is the remainder when k is divided by b?
2
Suppose 8*v - 42 = 5*v. Suppose 0 = -4*b + 3*b + v. What is the remainder when b is divided by 3?
2
Let v = 80 - -51. Calculate the remainder when v is divided by 12.
11
Suppose 13 = 5*k - 7. Suppose -2*y - k*l = -154, 71 + 250 = 4*y - 5*l. Suppose -4*d = -m + 8, -2 + 13 = m - 3*d. What is the remainder when y is divided by m?
19
Let a(u) = -8*u**2 - 9*u + 29. Let k be a(6). Calculate the remainder when k/(-3) + ((-22)/6)/11 is divided by 29.
17
Let z(l) = -37*l**3 - 3*l**2 - 2. Let b be z(-3). Suppose b = -3*t + 8*t. What is the remainder when t is divided by 14?
12
Let p(g) = -g**3 + 10*g**2 + 19*g. Calculate the remainder when 29 is divided by p(-2).
9
Let h = -352 + 424. Calculate the remainder when 213 is divided by h.
69
Suppose 9*w - 17 = 10. Suppose -g + 29 = w*h - 27, 4*h = -2*g + 106. Suppose 4*f + 33 = 97. Calculate the remainder when g is divided by f.
15
Suppose 0 = 2*m - 4*p - 80, 0 = 5*m - 3*m + p - 85. Calculate the remainder when 209 is divided by m.
41
Suppose -77*p - 5 = -72*p. Calculate the remainder when ((-2)/(-4))/(p/(-214)) is divided by 22.
19
Let y be 36/21 + (-6)/(-21). Suppose -y*i = 10, -3*i + 115 = 2*j - 0*i. What is the remainder when j is divided by 11?
10
Suppose -10*q - 10 = -100. What is the remainder when 98 is divided by q?
8
Suppose -148 = 2*u - 216. Calculate the remainder when u is divided by 26.
8
Suppose -v = -78 - 9. Suppose -b + 36 + 8 = 0. What is the remainder when v is divided by b?
43
What is the remainder when (-255)/(-3) + -1 - (-2 - 1) is divided by 10?
7
Let k(n) = -n**2 + 13*n + 8. Suppose 0 = -4*u + 3 + 9. Suppose -u*j - 5*a + 8 = 0, 3*a = a - 4. What is the remainder when k(j) is divided by 17?
16
Suppose 3*i + 493 = 601. What is the remainder when i is divided by 17?
2
Suppose 36 = 5*p - p. Suppose 5*u - 19 = 2*a, 11*a = 4*u + 9*a - 16. Suppose u*n - 72 = -p. What is the remainder when n is divided by 8?
5
Suppose -4*g - 73 = -2*s + 355, -4*g + 808 = 4*s. Calculate the remainder when s is divided by 42.
38
Suppose 37 = 105*w - 6998. Calculate the remainder when 232 is divided by w.
31
Let l(t) = 19*t + 1. Suppose 3*x - 8*x + 5 = 0. Calculate the remainder when 57 is divided by l(x).
17
Calculate the rem