ivided by 11.
7
Let s(i) = i**3 - i**2 - 11*i - 12. Let b be s(-3). What is the remainder when (-1161)/b + (-6)/60*4 is divided by 22?
11
Suppose 3*m = -m + 8, 2*l - 3*m = -8. Let d(s) = 404*s**2 - 6*s - 6. Let q be d(l). Let r = q - 277. What is the remainder when r is divided by 16?
15
Let b = 43 + 1684. What is the remainder when b is divided by 19?
17
Suppose v + 4*i + 4 = 0, -2*v - 4*i + 3 = 7. Suppose -3*g - z + 13 = v, 3*z - 5*z = 5*g - 22. Calculate the remainder when 17 is divided by g.
1
Let s(j) = j**3 + 5*j**2 - 2*j - 6. Let c be s(-3). Suppose -3*t + 6*t = c. Calculate the remainder when 16 is divided by (t/10)/1*5.
1
Let v be 1714/4 - (14/4 + -3). Suppose 9*i - 2048 = -v. Calculate the remainder when i is divided by 62.
56
Let o(g) = -g**2 + 12*g - 41. Let t be o(11). Suppose 3*y - 33 = -0*y. What is the remainder when (1/3 - 5/t)*40 is divided by y?
9
Suppose -2526 = -65*i + 903 - 504. What is the remainder when 184 is divided by i?
4
Suppose -5*u - 10 = 0, -146 = 483*q - 484*q + 2*u. Calculate the remainder when q is divided by 97.
45
Suppose 5*m + 3*w + 27 = 318, 2*m - 117 = -w. Calculate the remainder when 33 is divided by 10/m - 452/(-24).
14
Let x be (28/(-21))/((-8)/90). Suppose 175 = x*w + 40. What is the remainder when 302 is divided by w?
5
Let f(g) = -3*g + 57. Let m be f(-11). Let a = m + -52. Suppose 5*n - a = -3*d, 5*d + 5*n + 16 = 76. What is the remainder when 31 is divided by d?
9
Suppose -19*w + 15 = -16*w. Suppose 4*q + 3*a - 452 = 0, -w*q + 5*a = 6*a - 554. What is the remainder when q is divided by 59?
51
Suppose -129 - 1234 = -9*p + 1049. Calculate the remainder when 343 is divided by p.
75
Let o = 176 - 69. Let g = o + 9. Calculate the remainder when g is divided by 30.
26
Suppose -2*k + 6 = -0*k. Suppose -2*d + 8 = 0, h - 3*d - k = -2. What is the remainder when ((-414)/1449)/((-20)/3570) is divided by h?
12
Suppose -185 = -7*g + 5*l, -2*l = -22 + 26. What is the remainder when 1117 is divided by g?
17
Let p be (-3)/(-5) + 22992/80. Let a = 366 - p. Calculate the remainder when a is divided by 34.
10
Let x = -400 - -469. Let m(w) = w**3 - 20*w**2 + 20*w + 5. Suppose -2*k + 95 = 3*k. Calculate the remainder when x is divided by m(k).
21
Let d = 5745 - 5657. Calculate the remainder when 1143 is divided by d.
87
Suppose 0 = -11*l - 3*o + 1267, 2*o = -5*l + 387 + 187. Calculate the remainder when 1033 is divided by l.
105
Let z be 82/2 - 100/(-25). Suppose z = -30*t + 33*t. Suppose t = -3*u, -59 = -3*x - 2*u + 195. What is the remainder when x is divided by 9?
7
Let g(b) be the first derivative of 19/2*b**2 + 4 - 7*b. Calculate the remainder when g(2) is divided by 8.
7
Let k = -27574 + 27592. Suppose 0 = -3*d + 1179 + 330. Calculate the remainder when d is divided by k.
17
Suppose 39 = 5*u + 3*m, -u - m + 12 = m. Let y = 29 - 30. Calculate the remainder when y/(-3) - 682/(-33) is divided by u.
3
Suppose 55*l - 100553 = -20583. What is the remainder when l is divided by 56?
54
Let r(f) = -f**2 - 5*f + 7. Let h be 6/(-8) - ((-1223)/4 - -1). Suppose -h = -4*y + 4*p, p + 380 = 5*y - 0*y. What is the remainder when y is divided by r(-3)?
11
Let j = -24 - -66. Let q be ((-13)/(7 - -6))/(1/(-39) + 0). Let t = j - q. What is the remainder when 7 is divided by t?
1
Suppose 5*b - 38 = 6*y - 3*y, -2*b + 3*y + 17 = 0. Let i(d) = -2*d**2 - b*d + 3*d**2 + 5*d + 2 - 9. Calculate the remainder when 20 is divided by i(5).
4
Let q(d) be the second derivative of -d**4/2 + 5*d**3 + 4*d**2 + 40*d. What is the remainder when 140 is divided by q(5)?
4
Suppose 195 - 1818 = -3*c + 300. What is the remainder when c is divided by 130?
121
Suppose 38*r + 1937 = 10031. Calculate the remainder when r is divided by -2*(-66)/4 + 3.
33
What is the remainder when 602 is divided by (-13598)/(-52) + (0 - -1 - 3/2)?
80
Let x be (-1)/((2 + -1)/(-2)). Suppose 4*v = -x*d - 8, -5*d - 5*v - 2 = -v. What is the remainder when d/1 + 756/14 is divided by 16?
8
Let w(o) = -o**3 - 8*o**2 - 6*o + 5. Let q be w(-7). What is the remainder when 168/3 + 4 + q is divided by (75/(-35))/(3/(-28))?
18
Suppose 3*m - 6*q + 1642 = -q, 1096 = -2*m + 3*q. Let t = -496 - m. What is the remainder when t is divided by 34?
24
Suppose 0 = 4*d - 2*l + l - 99, 123 = 5*d - 2*l. Let k = 4 + 0. Suppose -2 = 3*a + 2*h - 27, -18 = -k*a + 5*h. Calculate the remainder when d is divided by a.
4
Let x = -61 - -55. Let f be -2 + (-20)/(-6) + 2/x. Let u(n) = 3*n**3 + n**2 + 2*n - 2. Calculate the remainder when 11 is divided by u(f).
3
Suppose -23*d + 22*d = 4, -13*h + 19078 = -5*d. Calculate the remainder when h is divided by 42.
38
Let n(o) = o**3 - 7*o**2 + 15*o - 1. Let a be n(4). Let f(s) = 2*s**3 - 20*s**2 - 15*s - 4. Calculate the remainder when 363 is divided by f(a).
71
Suppose 0 = -4*v + 8, 0 = 6*u - 3*u + 2*v - 265. Let a(z) = -28*z - 467. Let f be a(-14). Let x = f + u. What is the remainder when 56 is divided by x?
8
Let v = -3685 + 3715. Calculate the remainder when 42 is divided by v.
12
Let t be (7/2)/(21/504). What is the remainder when (3 + 8/(-2))*4*-19 is divided by t/2*(-7)/(-14)?
13
What is the remainder when (5 - ((-434)/4 - 4))*2 is divided by 113?
9
Let p(m) be the second derivative of -1/20*m**5 + 0 - 11/12*m**4 + 4*m - 5/3*m**3 + 6*m**2. What is the remainder when 47 is divided by p(-10)?
11
Suppose -3*b + 9 = 4*u, 6*u + 3 = 2*u + b. Suppose u*q = 2*q - 30. Calculate the remainder when ((-14)/(-3))/((-18)/(-108)) is divided by q.
13
Calculate the remainder when 134 is divided by (-120)/(-9)*(-3 + 36/8).
14
Let m(l) = l**3 - 4*l**2 - 11*l + 32. Let k be m(5). Suppose k*o + 31*o = 11220. What is the remainder when o is divided by 31?
30
Suppose -42 = -4*x - 3*x. Suppose -4*d = -3*d + x. Let n(h) = 2*h**2 + 12*h + 23. What is the remainder when n(d) is divided by 13?
10
Suppose -500 = -3*p - 2*p. Suppose 311 = 8*m - 353. Suppose -359 = -17*d + m. Calculate the remainder when p is divided by d.
22
Let v = 7537 - 7492. What is the remainder when 82 is divided by v?
37
Suppose -3*m - 1290 = -3*v, -4*v + 7*v - 5*m - 1302 = 0. Calculate the remainder when v is divided by 131.
31
Suppose 4*y - 3*h - 1299 = 2*y, 1302 = 2*y - 4*h. Calculate the remainder when y is divided by 109.
100
Let j = 670 - 311. Let f = 396 - j. Calculate the remainder when 106 is divided by f.
32
Let b = -3 + 6. Suppose -p - 2*a - b*a + 46 = 0, 126 = 3*p + 3*a. Let j(x) = -x**2 + 74*x + 233. Calculate the remainder when j(76) is divided by p.
40
Suppose 0 = -5*x - 2*v + 46020, -743*v = -739*v. What is the remainder when x is divided by 7?
6
Let s(g) = -g**3 + 12*g**2 - 22*g + 77. Calculate the remainder when s(10) is divided by (-94)/(-4) + 6 - (-3)/(-6).
28
Suppose 2*x - 1085 = -3*f + 261, 0 = 4*f - 4*x - 1788. Suppose 446*a - f*a = -22. Calculate the remainder when 283 is divided by a.
8
What is the remainder when -8 - (-5 + 9 - (393 + 3)) is divided by 46?
16
Suppose -u + 6821 = 4*l, -3*l + 2*u + 6009 = 885. Calculate the remainder when l is divided by 59.
54
Let c(b) = b - 8. Let k be c(-7). Let r(w) = -3*w - 44. Let a be r(k). What is the remainder when 61 is divided by (-32)/6*a*6/(-4)?
5
Calculate the remainder when (-1*1)/((-237)/72285) is divided by 16.
1
Let k be -3 + 2 + -1 + 5. Let h = 18 + 17. Suppose 4*y + 49 = k*r, -4*r - 5*y = -h + 11. Calculate the remainder when 41 is divided by r.
8
Let n = 13 + -11. Suppose 5*v - 5*f - 10 = 0, 0 = -2*v - 2*v - 2*f + n. Suppose -2*q + v = -35. Calculate the remainder when 86 is divided by q.
14
Let z = 2046 + -1967. Calculate the remainder when 8687 is divided by z.
76
Suppose -7*u + 10227 = -27*x + 30*x, 2*u - x - 2909 = 0. What is the remainder when u is divided by 33?
6
Suppose 0 = t - 4 - 9. Suppose 0 = -4*k - 12, -3*k = -4*l + t + 16. Calculate the remainder when (-566)/(-30) + (-6)/(-45) is divided by l.
4
Suppose 4*d = -k + 166, d - 36 = 56*k - 59*k. Calculate the remainder when 3016 is divided by d.
34
Suppose 0 = -66*s + 69*s - 1362. Let u = 462 - s. Suppose -i = 4*i - 25. Calculate the remainder when u is divided by i.
3
Let l be 27 - 8/28*7. Calculate the remainder when 104 is divided by (-26 + l)*140/(-4).
34
Let x = -971 - -964. Let f(u) = -8*u - 25. Let g(a) = -7*a - 24. Let p(h) = 5*f(h) - 6*g(h). Calculate the remainder whe