at is the remainder when j is divided by 22?
19
Suppose -2*a = -2*i - 1077 - 225, 5*i + 2609 = 4*a. Calculate the remainder when a is divided by 23.
2
Let b = -20468 + 20563. What is the remainder when b is divided by 42?
11
Let d = 135 - -13. Let g = -131 + d. Calculate the remainder when 43 is divided by g.
9
Suppose 1938 = 10*t - 442. Suppose -w - 3*q + 19 = 0, q = 3*q - 6. What is the remainder when t is divided by w?
8
Suppose 45 = -3*g + 4*g - 3*q, 2*g - 4*q = 86. What is the remainder when 750/36*(-1404)/(-390) is divided by g?
36
Suppose y - 8*y = -2611. Let x = y + -364. What is the remainder when 10 is divided by x?
1
Let q(j) = 2*j**2 + 13*j - 201. Let a(p) = -4*p - 55. Let o be a(-9). What is the remainder when q(o) is divided by 72?
58
Suppose 4*t - t - 180 = 0. Let a = -600 + 629. What is the remainder when t is divided by ((-42)/8)/(a/(-116))?
18
Let f be 3/2*(-13)/((-468)/2832). Suppose x + f = 3*i, 4*x = 3*i - 141 + 11. What is the remainder when 91 is divided by i?
15
Let h = 2194 + -1968. What is the remainder when h is divided by 58?
52
Let j(l) = -l**3 - 7*l**2 + l + 9. Let i be j(-7). Suppose -i*c + 12 = -16. What is the remainder when 67 is divided by c?
11
Let w(l) = 11*l**2 + 2*l - 1. Let r(p) = 3*p**3 - 3*p. Let y be r(2). Suppose s - 8 = -2*b + 13, s + 5*b = y. What is the remainder when w(-2) is divided by s?
16
Suppose 9*l - 17*l + 22 + 130 = 0. Suppose 0 = -4*w - x + 204, 0*x = -3*w + 3*x + 168. What is the remainder when w is divided by l?
14
Suppose -18*k = -12*k - 180. Suppose 0 = -k*p + 2*p + 2940. Calculate the remainder when p is divided by 16.
9
Let x(c) = 5*c**3 - 9*c**2 - c + 36. Let h be x(6). Suppose -3*b - h = -9*b. What is the remainder when b is divided by 46?
39
What is the remainder when 491 is divided by ((-4374)/(-189) - 22)*(2 - -5)?
3
Suppose -13525 = -94*c + 14716 - 5023. Calculate the remainder when c is divided by 31.
30
Suppose 8*z = 12*z - 176. Let f be ((-132)/7)/((-65)/(-35) - 2). Let k = f - 106. What is the remainder when z is divided by k?
18
Suppose -5*l + 495 = -m, 14 = 2*l - 5*m - 184. Let k = -20 + 31. Calculate the remainder when (-2)/(-3) - (-1815)/l is divided by k.
8
Let x(k) = 27*k + 1. Let w = -509 + 832. Suppose 246 = 326*d - w*d. What is the remainder when d is divided by x(1)?
26
Let x(q) = -2082*q - 33283. Calculate the remainder when (-2 - -2)/2 - -665 is divided by x(-16).
27
Suppose 9*m + 5*x = 7*m + 88, 3*m + 3*x - 105 = 0. Calculate the remainder when 117 is divided by m.
1
Let a(q) = 1. Let d(g) = g - 1. Let c(p) = -6*a(p) - d(p). Calculate the remainder when ((-1)/(-2))/((-30)/20)*-24 is divided by c(-7).
0
Let a be ((-91)/35)/((-3)/15). Suppose a*m = 661 - 258. Let l = 37 - m. What is the remainder when 27 is divided by l?
3
Let o(s) = -s**3 + 8*s**2 + 8*s + 6. Let z be o(9). Let m be 21*2/z*360/(-28). Suppose 0 = -9*a + m + 45. What is the remainder when a is divided by 13?
12
Suppose 0*m + 9 = 3*m, 6 = 3*p - 2*m. Suppose -p*f = -2*f. Suppose f = -4*j + 150 + 34. Calculate the remainder when 229 is divided by j.
45
Let q(m) = m**2 + 2*m - 5. Let v be q(6). Let x = -36 + v. Suppose -x*b + 8*b - 93 = 0. What is the remainder when b is divided by 24?
21
Let w(i) = 2*i**2 - 3*i - 6. Calculate the remainder when w(5) is divided by -2 - (-12 + -8 + 8).
9
Suppose -5*l = 4*p + 1115, 33*p = 32*p - 5. Let j = l - -316. Suppose 46 + 4 = 2*c. Calculate the remainder when j is divided by c.
22
Calculate the remainder when (4791/12 + -7)/((-15)/(-20)) is divided by 38.
29
Suppose 288*y - 76176 = -264*y. Calculate the remainder when 454 is divided by y.
40
Let p = 777 - 521. Suppose 0 = 3*a + 34 - p. What is the remainder when 291 is divided by a?
69
Let v(o) = -o**2 - o + 37. Calculate the remainder when v(0) is divided by 11/(55/10) + 34*(-3)/(-6).
18
Let a = 6289 - 5678. Calculate the remainder when a is divided by 12.
11
Let y(x) = -19*x - 17. Let j be y(-3). Suppose -5*p - j = 4*n - 5*n, 4*n - 160 = 2*p. What is the remainder when 197 is divided by n?
37
Suppose -137*w + 213*w - 5624 = 0. What is the remainder when 818 is divided by w?
4
Let c = 1807 - 1252. Let n = -327 + c. What is the remainder when n is divided by 11?
8
Suppose -25 = -v - c, 2*v - v - 3*c = 17. Suppose -v = 3*b - 65. Suppose 0 = -2*n + 4 - b, -3*q = -3*n - 30. What is the remainder when 7 is divided by q?
2
Let s(v) = v**3 - v**2 - 19*v + 4. Let o be s(-3). Suppose 60 = -o*a + 45*a. What is the remainder when 1 + (-1 + 0 - -14) is divided by a?
2
Let q(z) = -69*z - 1197. What is the remainder when 853 is divided by q(-18)?
43
Suppose -3*h + 30 = -453*s + 456*s, 5*s - 14 = -3*h. Let t(y) = 57*y**2 - 3*y - 3. What is the remainder when t(3) is divided by h?
15
Let a be ((-287)/(-28))/(1/12). Let s = a + 284. Calculate the remainder when s is divided by 34.
33
Let h(j) = -3*j**3 - j**2 - 3*j - 1. Let r(q) = q**3 - q**2 - 1. Let m(g) = h(g) + 2*r(g). Let x = 114 - 40. What is the remainder when x is divided by m(-4)?
24
Calculate the remainder when (-78)/2080*20 - (0 + 5822/(-8)) is divided by 237.
16
Let a(q) = -4*q**2 - 128*q + 44. What is the remainder when a(-31) is divided by -3 + 0 + (6 - -40)?
39
What is the remainder when 526 is divided by ((9 - (8 - 17)) + -7)/1?
9
Let q(n) = -43*n + 989. Calculate the remainder when q(-31) is divided by 58.
2
Calculate the remainder when 235 is divided by (-9)/((-4)/(448/72)).
11
Suppose 3*c = -z - 0*c + 112, -242 = -2*z + 3*c. Let y = 128 - z. Calculate the remainder when 67 is divided by ((-5)/(y/68))/(-2).
16
Let k = -2 + 301. Let n(s) = -s**2 - 26*s + 140. Calculate the remainder when k is divided by n(-30).
19
Let l = 52 - 49. Suppose l*d - 9 = 3. What is the remainder when (d/10 + 0)/(31/3720) is divided by 17?
14
Let j = -2 - -6. Suppose 48*g = 51*g + 5*i - 112, 5*g + 3*i = 240. Calculate the remainder when g is divided by j.
2
Suppose 80*y - 150*y + 24882 = 104*y. What is the remainder when 232 is divided by y?
89
Let j = 31 - 34. Let v be (-169)/(-8) + j + (-92)/(-32). Calculate the remainder when (-28)/49 - ((-663)/v - -1) is divided by 4.
2
Let q(s) = s + 30. Let o be q(-19). Suppose -72 = -o*n - n. Calculate the remainder when (72/80)/(n/(-8))*-55 is divided by 17.
15
Suppose -5*f + 5*m + 1676 = -2014, 0 = -2*m + 8. What is the remainder when f is divided by 24?
22
Let b = 617 + -969. What is the remainder when 131 is divided by 722/22 - 64/b?
32
Suppose y - 4*w + 38 = -y, 3*w + 12 = 0. Let u = y - -32. Suppose 0 = 183*m - 182*m - 13. Calculate the remainder when m is divided by u.
3
Suppose -147*w - 42660 = -162*w. Calculate the remainder when w is divided by 11.
6
Suppose 0 = -4*z + 3*z + 2. Let d = -60048 - -60201. Calculate the remainder when d is divided by z/(-7) + (-300)/(-21).
13
Suppose 10*x - 2 = 9*x. Let j = 4 - x. Suppose -5 - 1 = -2*s, -29 = -5*z + j*s. What is the remainder when z is divided by 2?
1
Suppose 0 = 330*x - 308*x - 264. Suppose 0 = -2*c + c, -2*j - 4*c = -88. What is the remainder when j is divided by x?
8
Let q(p) = 11*p**3 + 18*p**2 - 68*p + 9. Calculate the remainder when q(4) is divided by 183.
180
Let u(m) = 67*m - 1791. Calculate the remainder when 2626 is divided by u(27).
16
Let z = 58 - 12. Suppose 0 = -5*s + 15, b - 1 = -3*s + 17. Calculate the remainder when z is divided by b.
1
Suppose 82 = -3*l + 1657. Suppose 5*a + s - 55 = 0, -31*s + 26*s = -3*a + 61. What is the remainder when l is divided by a?
9
What is the remainder when (7 - 32/4) + 18 is divided by 2/(-4) + 39/6?
5
Let l = -284 + 416. Calculate the remainder when l is divided by 18.
6
Suppose -35*n + 19 = -34*n. Suppose -i - 4*g = 2*i - 331, -i - 3*g = -112. Calculate the remainder when i is divided by n.
14
Let a(h) be the first derivative of h**3/3 + 5*h**2/2 + 6*h - 104. Suppose n - 9 = -4*x, 0 = -2*x - 2*x + 16. What is the remainder when 59 is divided by a(n)?
19
Suppose 2*x - 7*k - 1009 = 0, 1405 = 3*x - 2*k + 7*k. What is the remainder when x is divided by 11?
7
Let g = 252 - 136. Let z(j) = j**3 - 9*j**2 + 13*j + 71. Calculate the remainder when g is divided by z(5).
8
Let d be (-6 + 0)*(-8)/12. Let g(b) = -b**3 + 4*b**2 + 4*b - 5. Let p(v) = 1122*v + 5616. What is the remainder when g(d) is divided by p(-5)?
5
Suppose n + 66 = q, q + 4*n + 