t is the remainder when m(8) is divided by z?
18
Let v = -445 + 623. Suppose 3*y + v = -4*z + 630, 0 = y + 4*z - 140. Let b = y + -103. Calculate the remainder when b is divided by 6.
5
Suppose 46 = 3*y - y. Let r = 76840 - 76728. What is the remainder when r is divided by y?
20
Let w(o) = 346*o**3 - 6*o**2 - 6*o + 16. What is the remainder when w(2) is divided by 14?
4
Let x(y) = 4*y**2 + 125*y - 219. Calculate the remainder when 2790 is divided by x(-33).
6
Suppose 13*m - 15441 - 14920 = -10939. What is the remainder when m is divided by 737?
20
Let d be (1036/185 + 6/(-10))/1. Suppose 3*j + 9 = 2*v - 14, 4*j = d*v - 68. Calculate the remainder when 42 is divided by v.
10
Calculate the remainder when 223 is divided by 38/(-4)*(19 + -27).
71
Suppose 0 = -5*k - f + 3714, -3*f = k - 154 - 572. Calculate the remainder when k is divided by 111.
78
Suppose 3*q - 9 = 3. Suppose -2*n + q*y - 2 = 0, -3*n + n = 4*y + 34. What is the remainder when 2 + (2 - 17)*51/n is divided by 11?
10
Suppose 2968*u = 2977*u - 468. What is the remainder when 92 is divided by u?
40
Let w be ((-4)/5)/(2/(-70)). Suppose 0 = -2*k + 2*x + w, 0 = -5*k - 0*k - x + 76. Calculate the remainder when 73 is divided by k.
13
Let g = -103 - -1090. Let q = g - 539. What is the remainder when q is divided by 50?
48
Let z(c) = -c**3 - 35*c**2 - 79*c - 36. Calculate the remainder when z(-34) is divided by 44.
42
Suppose -h = -3*h + 4*s + 14, -19 = 3*h + 2*s. Let u = 7 + h. Calculate the remainder when 1/((-54)/(-756)) + (2 - -8)*-1 is divided by u.
0
Let y(k) = k**2 - 42*k - 199. Let u be y(46). Suppose j + 1 + 0 = -2*d, -4*d + 7 = 3*j. Calculate the remainder when (-3)/(-2)*-19*40/u is divided by j.
4
Let t(n) = 5*n - 7. Let m be t(2). Suppose y = -2*s + 16, 4 = m*y - 4*s - 94. Calculate the remainder when 77 is divided by y.
25
Suppose 0 = -2*w - 4*z + z + 13, 3*w = -2*z + 7. Let f(h) = -129*h + 4. Let k(i) = -i**2 - 19*i + 11. What is the remainder when f(w) is divided by k(-17)?
43
Let k(s) = -11*s + 110. Calculate the remainder when 259 is divided by k(8).
17
Let r(l) be the second derivative of 17*l**3 + 61*l**2 - 68*l. Calculate the remainder when r(4) is divided by 19.
17
Suppose -364 = -39*j + 260. Calculate the remainder when 123 is divided by j.
11
Let x = -32 + 29. Let u be (-7)/(-2) + x/6. Suppose u = -3*y, 5*f - 4*y - 22 = -2*y. Calculate the remainder when 11 is divided by f.
3
Suppose -11*j + 74 + 1510 = 0. Suppose 0 = q - 67 - 15. Calculate the remainder when q is divided by j/10 + (-12)/30.
12
Suppose 4*d - 314 = -38. Let s(t) = t + 92. Let w be s(-4). Let u = w - d. What is the remainder when 72 is divided by u?
15
Suppose 4*l - 5*v - 7707 = 0, -3*l + 5*v = -3628 - 2156. What is the remainder when l is divided by 26?
25
Let i(o) = 24*o - 774. Let g(d) = 2*d - 1. Let q be g(-5). Let w = q - -17. Calculate the remainder when i(33) is divided by w.
0
Let m(x) = 14*x**3 - 4*x**2 + 3*x. Suppose -47716*c - 924 = -47749*c. Calculate the remainder when m(2) is divided by c.
18
Calculate the remainder when (-7)/(-2) + 5643/18 is divided by 150.
17
Let u = 796 - 526. Let m be (324/30)/(-9)*-30. What is the remainder when 105 is divided by (0 - m/10)/((-54)/u)?
15
Let f = 681 + -672. Suppose -f*p = -10*p + 64. Calculate the remainder when 180 is divided by p.
52
Let r = 2041 + -2039. Let m(o) = 3*o**2 + o + 1. Let a be m(-1). Suppose a*p - r*f - 37 = -3*f, f = -5*p + 63. What is the remainder when 24 is divided by p?
11
Suppose -880*u + 891*u - 4710 = -1179. What is the remainder when u is divided by 78?
9
Let k(m) = m - 19. Let v be k(12). Let u(h) = 2*h**2 - 41. Let g be u(v). Let z = g - 43. What is the remainder when 55 is divided by z?
13
Let x(y) = -3*y**2 - 4. Let s be x(-2). Let z = s - -15. What is the remainder when 57 is divided by (5/(-15))/(z/36)?
9
Let t be 42/((-165)/35 + 5). Let u = t - 40. What is the remainder when u is divided by 5?
2
Suppose -y = 3*s - 40, -46*y + 13*s = -41*y - 172. Calculate the remainder when 1140 is divided by y.
30
Let b = -472084 + 472378. Let s = 62 + -12. What is the remainder when b is divided by s?
44
Suppose 17*g + 6*g - 92 = 0. Suppose g*x + 5*h - 552 = 11, 4*x = 2*h + 598. Calculate the remainder when x is divided by 33.
15
Let d be (2/(8/(-6)))/((-21)/252). What is the remainder when (d/(-5))/(-6*(-5)/(-500)) is divided by 9?
6
Let r(g) = 3*g - 70. Let w be r(21). Calculate the remainder when 40 is divided by 6*2*1 + w + 3.
0
Let o = 64 - 15. Suppose -9*j - o = -16*j. Calculate the remainder when 132 is divided by j.
6
Suppose 0 = -4*u - 4*f - 9 + 173, u + 4*f = 41. Let r(a) = a**2 - a + 8. Let p be r(10). Let n = p + -20. Calculate the remainder when n is divided by u.
37
Let b(k) = k**3 + k**2 - 110*k + 24. Calculate the remainder when 289 is divided by b(10).
1
Suppose -3*p + 3*m = -108, -739*m - 4 = p - 735*m. Let t(j) = j**2 + 52. What is the remainder when t(0) is divided by p?
24
Let w be 8/48 - 38/12. Let c be (-4 - -4) + -45 + w. Let o = -2 - c. Calculate the remainder when o is divided by 16.
14
Let t(g) = 22*g - 3. Suppose 73*p - 72*p - 3 = 0. What is the remainder when t(p) is divided by 34?
29
Let y = 493 + 982. What is the remainder when y is divided by 212?
203
Suppose -2*y = 2*c + 152, 2*c - 6*y + 11*y + 143 = 0. Let k = c - -156. What is the remainder when k is divided by 14?
7
Suppose -56 = -3*g + 40. Let z(r) = -155*r + 16. Let i be z(6). Let f = 1039 + i. Calculate the remainder when f is divided by g.
29
Let r(q) = -253*q - 3972. What is the remainder when r(-17) is divided by 102?
23
Suppose -6*z + 17 = -5*z. Suppose 0 = t + 2*l - 6*l - 127, -3*l + 612 = 5*t. Let c = t + -74. Calculate the remainder when c is divided by z.
15
Suppose -5*a = -126 - 184. Let x = -94 - -99. Suppose -x*f + f = -68. Calculate the remainder when a is divided by f.
11
Let m be (-25)/(-10)*2*7. Suppose -63 - 125 = -2*a. Let l = a - m. Calculate the remainder when l is divided by 10.
9
Suppose -4 = m - 19. Let w(p) = -p**2 + 12*p + 9. Suppose 5*u - 50 = -0*u. Calculate the remainder when w(u) is divided by m.
14
Let k be (-24)/(-9) + 0 + (-4)/(-12). Suppose 0 = 4*d + 6*i - 4*i - 152, 45 = d - k*i. What is the remainder when 151 is divided by d?
34
Let a = -3872 + 3920. Calculate the remainder when 187 is divided by a.
43
Let i = 88 - 56. Calculate the remainder when i is divided by 8/(-116) + (1 - (9204/377)/(-6)).
2
Let d be (-44)/(-1 - (-6)/(-6)). Suppose -d*x + 292 = 50. Calculate the remainder when 49 is divided by x.
5
Suppose -42*u - 19 = -691. Calculate the remainder when 1214 is divided by u.
14
Suppose -4*n + 11826 = 5*n. Let d = n + -932. Calculate the remainder when d is divided by 96.
94
Let k = -112 + 107. Let g(o) = -8*o - 21. Calculate the remainder when 53 is divided by g(k).
15
Let k(f) = f**3 + 9*f**2 + 9*f - 10. Let w(z) = 16*z - 206. Calculate the remainder when w(30) is divided by k(-7).
24
Let v = 1240 + -848. What is the remainder when v is divided by 36?
32
Let r = 11698 - 11538. What is the remainder when r is divided by 38?
8
Let f be (-3)/((-111)/918 - (-14)/119). Suppose 0 = 3*n + 15, 3*n - n - f = -4*a. What is the remainder when a is divided by 13?
11
Let z = 37877 - 37399. Calculate the remainder when 483 is divided by z.
5
Let d = -539 + 930. Let c = d + -236. Suppose -130 = -10*p + 5*p. Calculate the remainder when c is divided by p.
25
Suppose -y + 3*y = 0. Let z(r) be the third derivative of -r**4/24 + 3*r**3 + 18*r**2 - 10*r. Calculate the remainder when z(y) is divided by 10.
8
Let z(o) = o**2 + 10*o - 16. Let m be (-21)/(-4) + (4 - 17/4). What is the remainder when z(m) is divided by 4?
3
Suppose -7928 - 5925 = -14*m - 1449. What is the remainder when m is divided by 437?
12
Let h = -62 + 60. Let a(c) = -25*c + 45. What is the remainder when a(h) is divided by 22?
7
Let a(l) be the third derivative of -l**5/60 + 7*l**4/12 + 83*l**3/6 - 171*l**2. Calculate the remainder when 43 is divided by a(18).
10
Let z(j) = 5*j**2 - 188*j - 54. Let i be z(38). Suppose 4*m = -m + 155. Let v = m - i. What is the remainder when 16 is divided by v?
7
Suppose -42 = 2*a - 3*a + 4*j, 42 = a + j. Let z = a + -41. Let u(y) = 56*y**3 + y**2 - y. What is the remainder when u(z) is divided by 15?
11
Let g = 32 - 