Let i(y) = -y**3 + 8*y**2 + 34*y - 1. What is the remainder when i(-5) is divided by 84?
70
Let g be 80/200 + 2/(-10)*-88. Suppose g*m - 25 = 17*m. What is the remainder when 69 is divided by m?
19
What is the remainder when ((-22)/4 - -1)/6 + 2222/8 is divided by 3/5 + 347/5?
67
Calculate the remainder when 11*(-16)/(-1056)*2022 is divided by 101.
34
Let x = 544 + -505. Let c(g) be the third derivative of g**6/6 + g**5/30 - g**3/6 - 21*g**2. What is the remainder when x is divided by c(1)?
18
Let v be ((-12)/15)/(2/(-5)). Suppose 4 - 50 = -v*d. Suppose -3*c - 6 = 0, 4*x - 264 = 15*c - 11*c. Calculate the remainder when x is divided by d.
18
Let x(v) = -2*v - v**3 + 21 + 53*v**2 - 44*v**2 - 7*v. What is the remainder when x(7) is divided by 10?
6
Calculate the remainder when 6560/(33 + -1)*(-8)/(-5) is divided by 160.
8
Suppose -3*m - 3*b - 79 = -7*m, -3*m = 5*b - 23. Let h = 0 + -2. What is the remainder when (-6)/(-3) + 78 + h is divided by m?
14
What is the remainder when 130 is divided by (-13)/(7/2 - ((-77)/(-11) + -3))?
0
Let y = -15 - -45. Let z(t) = -t**3 - 14*t**2 - 52*t - 184. Calculate the remainder when y is divided by z(-11).
5
Suppose 13*z - 1540 = -z. Suppose 0 = -104*s + z*s - 306. Calculate the remainder when s is divided by 3.
0
Suppose -118*z - 39 = -2*t - 121*z, 0 = -2*t - 2*z + 34. Let k(a) = 15*a + 5. What is the remainder when k(5) is divided by t?
8
Let g = -785543 - -785983. Let l(u) = u**3 + 5*u**2 - u - 4. What is the remainder when g is divided by l(-3)?
15
Let z(m) = 50*m + 809. What is the remainder when (-365)/(-5) - 2*1 is divided by z(-16)?
8
Let g be (0 + -2)*-8*(-2)/(-4). Let h(r) = -r**3 + 8*r**2 + 2*r - 14. What is the remainder when h(g) is divided by 2?
0
Let u(w) = -w**3 - 17*w**2 + 38*w - 1. Let y be u(-19). What is the remainder when 48 is divided by (-1615)/(-65) - y/(26/4)?
23
Suppose -117*q + 36443 = -4667 - 18677. Calculate the remainder when q is divided by 57.
55
Let m = 76 - 74. Suppose -4*q - 1 = -m*u + 21, 0 = -u - q + 2. Let l(s) = s**3 - 3*s**2 - 2*s - 9. What is the remainder when l(u) is divided by 18?
13
Suppose -y = -p - 59, 4*y - 11*p - 242 = -9*p. Calculate the remainder when y is divided by 22.
18
Suppose 2*r = 5*u - 5366, 45*u - 46*u + 4*r = -1048. Calculate the remainder when u is divided by 294.
194
Let n(c) = 1039*c - 780. Calculate the remainder when n(17) is divided by 84.
83
Suppose -21312 = -20*b - 5572. Calculate the remainder when b is divided by 17.
5
Let c(w) = 68*w**3 - 9*w**2 + 10*w - 5. Calculate the remainder when c(2) is divided by 61.
35
Let d(g) = -g**3 + 25*g**2 - 26*g + 44. Let h be d(24). Calculate the remainder when 189 is divided by (5 - 175/28)/(h/304).
94
Let f be 106/1113 + (-2516)/(-42). Suppose -4*c - 40 = -2*j, 12*j - f = 9*j + 5*c. What is the remainder when 96 is divided by j?
16
Suppose 2955 = 59*r - 1588. Calculate the remainder when r is divided by 29.
19
Suppose -2*s = 5*k - 235, -365*s + 5*k = -368*s + 365. Calculate the remainder when 291 is divided by s.
31
Suppose 4*s = -j - 12, -4 = 5*s + 6. Let o = -101 - -103. Calculate the remainder when o/((-8)/(-122)) + j/(-8) is divided by 16.
15
Suppose -3 + 1 = 2*g + 3*j, 5*j + 15 = -g. Let n(b) = -41*b. Let k(u) = -41*u. Let s(z) = g*k(z) - 4*n(z). Calculate the remainder when s(-2) is divided by 17.
14
Let g be (-11 - -3 - -2) + -212. Let s = -208 - g. Suppose -5*c = -118 + 18. Calculate the remainder when c is divided by s.
0
Let y = -29 - -96. Let x = -32103 + 32436. What is the remainder when x is divided by y?
65
Let r(a) = a**3 - 43*a**2 - 109*a + 133. What is the remainder when r(49) is divided by 230?
228
Let p be 2*5*44/110. Suppose 3*b - s - p = 0, -5*b - s = 3*s - 18. Suppose 4 = u, c - 5*u - b = -0*c. Calculate the remainder when 84 is divided by c.
18
Suppose -51 = -5*y - 4*o, -4*y = -3*y + 2*o - 9. Suppose -84 = -y*p + 8*p. Calculate the remainder when ((-270)/(-2) - -3) + 0 is divided by p.
26
Let x = 562 - 394. Let m = -521 + 305. Let u = m - -259. Calculate the remainder when x is divided by u.
39
Suppose -1805 = -29*i + 138. Calculate the remainder when 153 is divided by i.
19
Suppose -3*q - 2*q = -3*x - 154, -q + 42 = 5*x. Suppose -6*k - q + 554 = 0. Calculate the remainder when k is divided by 30.
27
Suppose 0 = -1422*a + 1411*a + 363. Let n = 42 + -22. What is the remainder when a is divided by n?
13
Let z(b) = 2*b**3 - 5*b**2 - b - 3. Suppose 0 = -4*t + t + 12. Let h = 10021 - 10007. What is the remainder when z(t) is divided by h?
13
Suppose -35 + 91 = 4*n. Let k = 12176 + -12174. Calculate the remainder when n is divided by k.
0
Calculate the remainder when 721 is divided by -5*(-259)/35 - 4/4.
1
Let d(h) = -1285*h - 978. Calculate the remainder when d(-2) is divided by 4.
0
Suppose r = -2*v + 54, 3*v + 66*r - 72 = 63*r. Calculate the remainder when 307 is divided by v.
7
Let j(z) = 5*z + 43. Let c(d) = -2*d - 14. Let u(p) = 8*c(p) + 3*j(p). Calculate the remainder when 30 is divided by u(-4).
9
Suppose 5*i + 7 = -3, -3*l + 2 = 5*i. Suppose -3*v - 5*p - 26 = 0, -l*v + 4*p - 12 = 12. Let t = 3 - v. What is the remainder when 29 is divided by t?
9
Let q = -123752 - -123835. Suppose 3*s + 1 = -8. Let i = 26 - s. Calculate the remainder when q is divided by i.
25
Let c = 26 - 117. Let g = c - -159. Calculate the remainder when g is divided by 18.
14
Calculate the remainder when 395 is divided by (5550/1480)/(5/184).
119
Suppose -17*s = 6*s + 3*s. Suppose s = h - 2*u - 7 - 6, 5*h + 5*u - 5 = 0. What is the remainder when 64 is divided by h?
4
Calculate the remainder when ((-3)/(-6))/(5 - 77085/15420) is divided by 505.
9
Suppose 4*d - 4*f - 316 = 0, d - 3*f - 37 = 34. Let a = -72 - -115. What is the remainder when d is divided by a?
40
Let p(l) = l**3 + 6*l**2 + 4*l - 4. Let t = 4135 - 4114. Calculate the remainder when t is divided by p(-4).
9
What is the remainder when 998 is divided by (-1712)/(-5) + (-448)/(-80) + -6?
314
Suppose 9687 = 183*i - 2757. What is the remainder when (-2)/3 + (-2855)/(-3) is divided by i?
67
Let l = 63 - 37. Calculate the remainder when l is divided by ((-6)/(-1) + -13)*-1*(-5 - -6).
5
Suppose -5*y + 70 = -s, -11 = -5*y + 3*y - 3*s. Suppose y*o - 18*o = -810. Let g = -118 - -151. What is the remainder when o is divided by g?
30
Suppose -2*x + 3*x - 2 = 0. Suppose 3*r + 15 = 0, -3*z + 52 = -z + x*r. Let t = 100 + -10. Calculate the remainder when t is divided by z.
28
Let d(u) = u**3 + 17*u**2 + 72*u + 16. Let c(v) = -v - 3. Let f be c(-3). Suppose f = -2*z + 15 - 7. Calculate the remainder when d(-9) is divided by z.
0
Suppose -13 + 7 = -6*j. Let c be (-14)/(-35) - (j + (-46)/10). Suppose -42 = -2*m + 3*g + g, 0 = c*m + 2*g - 104. What is the remainder when m is divided by 9?
7
Suppose -428*r = -396*r - 19840. What is the remainder when r is divided by 27?
26
Suppose 2*j = -0*j + 60. Let q(s) = -2434*s + 17054. Calculate the remainder when j is divided by q(7).
14
Calculate the remainder when 3139 is divided by 18500/(-300)*(-6)/((-2)/(-1)).
179
Let m(r) = -3*r - 12. Let b be m(-5). Suppose -2*g - g = t, 0 = -b*t - g. Suppose 3*c + t*c = 33. Calculate the remainder when 53 is divided by c.
9
Let s be (-8)/60 + 219/(-45). Let g(z) = z**3 - 6*z**2 + 4*z - 15. Let y be g(6). Let t = y + s. What is the remainder when 7 is divided by t?
3
Let r be (-4)/(-12) + (-56)/(-3). Suppose -4*s + r = 7. Suppose 4219*d - 5162*d = -190 - 753. What is the remainder when s is divided by d?
0
Suppose 11*a - 5*a - 492 = 0. Suppose -3*t = -5*n - a, -7*t - 4*n + 37 = -4*t. What is the remainder when 70 is divided by t?
13
Let m be ((-33)/(-12) - 3)*-8. Let n = -8 - -3. Calculate the remainder when 14 is divided by (m + 22/n)/(12/(-40)).
6
Let g(d) be the second derivative of 1/2*d**4 - 1/20*d**5 + 0 + 17*d - 1/3*d**3 - d**2. What is the remainder when 64 is divided by g(4)?
20
Let a = -932 + 3127. What is the remainder when a is divided by 122?
121
Let h(k) = 7*k**2 - 184*k - 503. Calculate the remainder when 244 is divided by h(29).
4
Suppose -3*w + 177 = -2*w. What is the remainder when w is divided by (-266)/(-26 + 12) + 1?
17
Let i = -2184 - -2223. Let h = -23 + 9. Let o = i + h. Calculate the remainder when 71 is divided by o.
21
Let b = -930 - -1366. What is the re