alculate the remainder when a is divided by z.
0
Let z(l) = -540*l - 9. Let o(c) = -c**2 - 8*c - 8. Let x be o(-1). What is the remainder when z(x) is divided by 38?
37
Let r(m) = m**3 + 10*m**2 - m - 10. Let s be r(-10). Suppose 5*b - 253 - 47 = s. What is the remainder when 357 is divided by b?
57
Let o(w) = 23*w**2 - 50*w + 11. Calculate the remainder when o(-12) is divided by 119.
115
Let w be (-8)/(-64)*0 - 7. Let p = 99 + w. What is the remainder when p is divided by 6?
2
What is the remainder when 7690*(-11)/(-4) - 1233/(-2466) is divided by 33?
28
Let w = -170 - -249. Let m = 3980 + -3961. What is the remainder when w is divided by m?
3
Let v = 333 - 343. Let z(l) = 0*l + 13 - 4*l**2 + 10*l + 6*l**2. Calculate the remainder when z(v) is divided by 23.
21
Suppose 24*b = 136 + 800. Calculate the remainder when 1477 is divided by b.
34
Let t be 21/(-1)*130/(-78). Suppose -5*l + t = -90. Calculate the remainder when 97 is divided by l.
22
Let d be -4 - 3*(-8)/4. Suppose -2*a = -d*w - 7*a + 75, -2*a = -6. What is the remainder when w is divided by (48/(-2))/((-3)/2)?
14
Let b(c) be the first derivative of -24*c**2 + 342*c - 19. What is the remainder when 405 is divided by b(7)?
3
Let a be 7/(-63)*123*-9. Suppose 5*d + 71 = 266. Suppose -7*v = d - a. Calculate the remainder when 28 is divided by v.
4
Let r = -23 + 37. Suppose 28*m - 26*m = 6, -4*c = -5*m - 81. Calculate the remainder when c is divided by r.
10
Let f(m) = m + 1. Let x(l) = -1. Let p(z) = f(z) + 2*x(z). Let o(s) = s + 40. Let d(t) = o(t) - 5*p(t). Calculate the remainder when d(7) is divided by 5.
2
Suppose 0 = 5*q + 110 + 240. What is the remainder when (210/(-84))/((-1)/10) is divided by (8/10)/((-4)/q)?
11
Suppose -6*o - 512 - 160 = 0. Let z = -71 - o. What is the remainder when 77 is divided by z?
36
Let l(y) = y**3 - 2*y**2 + 5*y - 7. Let s be l(3). Suppose w + s + 2 = -h, 0 = 2*h - 4*w + 50. Let k = 62 + h. What is the remainder when k is divided by 14?
13
Suppose 0 = 234*q - 7321 - 2507. Calculate the remainder when 91 is divided by q.
7
Let q = -12 - -174. Let c = q + -147. What is the remainder when c is divided by (-4)/10 + 44/10?
3
Let t be 2*(1 + 852/(-8)). Let g = t + 337. Calculate the remainder when g is divided by 13.
9
Suppose -8*x - 7 = -55. Suppose -x*l + 431 = -3*l - t, 0 = 5*l - 4*t - 716. Suppose -21*g = -17*g - l. What is the remainder when 140 is divided by g?
32
Let i(j) = j**2 - 3*j + 134. Let f be i(23). Suppose f = 7*o + 2*o. Calculate the remainder when 127 is divided by o.
61
Let x = 87 - 83. Suppose 2*n - 133 = p + 1, -x*n + p + 264 = 0. Calculate the remainder when n is divided by 8.
1
Let l(y) = -y**3 + 5*y**2. Suppose -5*h - 5*n + 765 = 0, 0 = 2*h - 4*n + 274 - 616. Calculate the remainder when h is divided by l(3).
15
Let i be (-38)/(-3) + (0 - (-2)/(-3)). What is the remainder when 17 is divided by i/(-2) - 972/(-54)?
5
What is the remainder when 9*73 - 3/((-9)/(-15)) is divided by 167?
151
Let h be 786/(-15) - (-4)/10. Let r = 69 + h. Calculate the remainder when 55 is divided by r.
4
Suppose 7889 = 53*a + 20291. Let u = 19 + -7. What is the remainder when u is divided by 9/72 - a/48?
2
Let j = -49 - -55. Suppose -5*d + j = -39. Suppose 15 = -3*x + 4*x. What is the remainder when x is divided by d?
6
Suppose 3*b - 428 = 5*b. Let d = -200 - b. What is the remainder when 55 is divided by d?
13
Let t = -66 - -69. Let d be (68/(-14) - -6)/((-2)/(-7)). Suppose 7*f + d*v - 30 = 5*f, -4*v + 4 = 0. What is the remainder when f is divided by t?
1
Let a(p) = p**2 - 27*p + 56. Let x be a(25). Suppose 10*k - x - 204 = 0. Suppose 4*z - 223 = k. What is the remainder when z is divided by 7?
5
Let b(k) = -321*k - 4417. What is the remainder when b(-14) is divided by 22?
11
Let g(d) = 5*d**2 + 37*d + 153. Let b(o) = -14*o**2 - 109*o - 461. Let r(f) = 6*b(f) + 17*g(f). What is the remainder when r(32) is divided by 20?
19
Suppose -n - 956 = -5*n. Let s = n + -170. Let w = 2453421 + -2453411. Calculate the remainder when s is divided by w.
9
Suppose 51*c = -0*c + 102 + 1989. What is the remainder when 46 is divided by c?
5
Suppose -4*d + 23 = 2*b + b, 0 = 3*d + 12. Suppose -l = -30 - 60. Let t = -77 + l. What is the remainder when t is divided by b?
0
Let b(q) = -q**3 + 8*q**2 + 2*q - 7. Let t = 217 - 207. Suppose -5*r + t = 0, 2*r + 16 = -10*m + 15*m. What is the remainder when b(8) is divided by m?
1
Let y = -31 - -36. Let s(h) = h**3 - 6*h**2 + 3*h - 4. Let n be s(y). What is the remainder when 62 is divided by (-28)/49 - 302/n?
20
Suppose 0 = 1534*c - 1533*c - 176. What is the remainder when c is divided by 24?
8
Suppose -18*t + 143 + 55 = 0. Let u = 134 + -122. Suppose t*s - u*s + 12 = 0. What is the remainder when 23 is divided by s?
11
What is the remainder when 5 + -13 + 23 + 1865 is divided by 314?
310
Let l(k) = -k**3 - 8*k**2 - 16*k - 4. Let n be l(-3). Calculate the remainder when 12604/23 + (n - -3) is divided by 12.
10
Suppose 8*j = 3*j - 5*q - 5, 0 = -4*j - q - 13. Let i(t) = -2*t + 7. Let x be i(j). What is the remainder when 47 is divided by x/(-2)*(6/15 - 2)?
11
Let o = 5449 + 10999. Suppose -63*z + o = -4909. Calculate the remainder when z is divided by 20.
19
Let n(w) = 17*w**2 - 2*w - 2. Let p = -2 - -4. Suppose 305*a + t = 307*a - 46, -4*t = a - 32. Calculate the remainder when n(p) is divided by a.
14
Let u(c) = c**3 - 6*c**2 + c - 4. Let b be u(6). Let n(l) = 4*l**2 - l - 1. Calculate the remainder when 9/(-18) - 97/(-2) is divided by n(b).
9
Let y(t) = -t**3 + 23*t**2 + 49*t + 28. Let i be y(25). Suppose 5*m = i*n + 19, -3*m + 28*n - 30*n = 0. What is the remainder when 60 is divided by m?
0
Let x(z) = 260*z**2 + 19*z - 6. What is the remainder when x(-2) is divided by 291?
123
Suppose 0 = -13*k + 9470 + 1034. Suppose -17*z = -21*z + k. What is the remainder when z is divided by 51?
49
Suppose -66*k - 1785 - 1455 = -93*k. What is the remainder when 1437 is divided by k?
117
Let p be 3 - (3/2 + 4050/12). What is the remainder when 151 is divided by p/(-8) + 2*-2?
37
Let y = -83 - -90. Suppose -5*w - 3*m + 99 = 0, 3*m = 2*w - 41 - y. What is the remainder when w is divided by 4?
1
Suppose -2*p + 106 = 4*z, 9*p - 13*p - 22 = -z. Calculate the remainder when 148 is divided by z.
18
Suppose -298*g - 85*g + 34561 + 5271 = 0. What is the remainder when 198 is divided by g?
94
Let v = 2490 - 2417. What is the remainder when 240 is divided by v?
21
Suppose 0 = -5*d + 2 + 8. Suppose -20 = -2*p - 4*m, -5*m - 31 = -p - 0*m. What is the remainder when p is divided by d?
0
Let k = 250638 + -250417. Calculate the remainder when k is divided by (-31)/(-4) - (-1)/4.
5
Suppose 4*x = 3*a + 15204, -124*x + 120*x = -4*a - 15204. What is the remainder when x is divided by 3?
0
Suppose -3*z + j = -556, 5*z + 885*j = 882*j + 908. Calculate the remainder when z is divided by 78.
28
Suppose 0 = 4*j + 7 + 9, -5*j = 2*d - 32. Suppose r - 138 = -d. Calculate the remainder when r is divided by 38/(4 + (0 - 3)).
36
Let h(s) be the second derivative of 4*s**3/3 - 13*s**2/2 + 4*s. Let j be h(-7). Let c = -59 - j. What is the remainder when 36 is divided by c?
6
Let f = -1866 + 1118. Let t = 1276 + f. Suppose 9*p - r = 4*p + 649, -3*r - t = -4*p. Calculate the remainder when p is divided by 44.
41
Suppose 0 = i + 5*g - 112 - 233, -5*i + 1590 = -2*g. What is the remainder when i is divided by 102?
14
Let b(f) = 4*f**2 + 202*f - 21. Suppose 0 = 5*v - v - 84. What is the remainder when b(-51) is divided by v?
18
Let f be 3584/40 - (-4)/10. Suppose 3*i + o - 148 = 0, 2*i - 5*o - 130 = -20. Calculate the remainder when i is divided by ((f/(-7))/3)/(6/(-28)).
10
Let g(n) = 2*n**3 - 128*n**2 + 366*n + 26. Calculate the remainder when 4755 is divided by g(61).
23
Let t(z) = 2*z**2 - 9*z + 5. Suppose -2*h + 54 = -5*n - 0*n, -5*n = -h + 17. Let i = h - 32. What is the remainder when 47 is divided by t(i)?
7
Let i(b) = 97*b - 32. Let r be i(5). Let s = r + -97. Calculate the remainder when s is divided by 30.
26
Calculate the remainder when 16143/30 + -14 + (-2919)/(-210) is divided by 34.
28
Suppose 4*q = 5*l + 435, l + 2 = 3*l. Suppose 377 = j - q. Calculate the remainder when j is divided by 8.
7
Suppose -5*r + b + 34 = 0, -4*b = -3*b + 4. Suppose 0 = -5*w - 3*k + 60, r