. What is the remainder when k(1) is divided by 9?
6
Let o(z) = -z**3 + 7*z**2 + 21*z - 113. Calculate the remainder when 641 is divided by o(7).
29
Let g = 9 + -18. Let l = 34 - 38. What is the remainder when 42 is divided by (g/l)/(6/24)?
6
Suppose 17*w - 35 = 10*w. Suppose -4*r + w*r + 5*c - 52 = 0, -5*c = -r + 22. What is the remainder when r is divided by 19?
18
Suppose 0 = -11*z - 153 - 23. What is the remainder when 139 is divided by ((-1)/(-6) + z/32)*-219?
66
Let a(i) = -7*i - 22. Let c = 11875 + -11815. Calculate the remainder when c is divided by a(-10).
12
Suppose -1836 = 6*d - 0*d. Let o = 389 + d. Calculate the remainder when o is divided by 11.
6
Suppose 8*k - 4*w - 554 = 5*k, -10 = 2*w. Let z = -138 + k. What is the remainder when 117 is divided by z?
37
Suppose 5*i - 22 = 4*i. Suppose -20*z = 5*z + 14*z - 3666. Calculate the remainder when z is divided by i.
6
Let w = -9 + 12. Suppose -w*g - t = -2, 3*g + 3*t - 17 = -t. Calculate the remainder when 60 is divided by 4/(20/95) + 3/g.
12
Suppose 20 = 4*x, -4*l - 47 + 226 = -x. Let o(r) = -30*r + 41. Let v be o(4). Let z = 104 + v. What is the remainder when l is divided by z?
21
Let b = 232 - 230. Suppose 4*n = 21*v - 18*v + 1845, -2*n + b*v = -924. What is the remainder when n is divided by 46?
45
Let r = -100 + 98. What is the remainder when 39 is divided by r/8 + (-57)/(-4)?
11
Let q(a) = -a**3 + 30*a**2 - a + 42. Let d be q(30). Calculate the remainder when (-12)/(-8) - (-342)/d is divided by 9.
3
Suppose -15 + 29 = d. Let g = 308 - 263. Calculate the remainder when g is divided by d.
3
Suppose 0 = 3*t - 3*d - 2475, 3*t + 3*d + 214 - 2725 = 0. What is the remainder when 2499 is divided by t?
6
Let m = -36 + 344. Suppose 0 = 6*t - m + 104. What is the remainder when 83 is divided by t?
15
Let z(o) = -3*o**2 + 5*o - 5. Let f be z(6). Let h = f + 103. Let l = 55 - 2. What is the remainder when l is divided by h?
13
Let s be 424/(-53)*(-2 + 1). Calculate the remainder when (-2)/s - 3102/(-24) is divided by 65.
64
Suppose -30919 - 60731 = -195*j. What is the remainder when j is divided by 20?
10
Let r = -6967 - -16130. Calculate the remainder when r is divided by 158.
157
Calculate the remainder when 6709 is divided by (-4)/(-54) - (10686/(-81) - -10).
121
Let t(w) be the second derivative of w**4/3 + 4*w**3/3 - 11*w**2/2 - 274*w. What is the remainder when 25 is divided by t(2)?
4
Let q = -909 - -1029. Suppose -3*o - j + 181 = 0, -q = -2*o - j - 0*j. Suppose 0 = c, 4*v - 35 - 49 = 5*c. What is the remainder when o is divided by v?
19
Let j = 46 + -61. Let z = j - -12. What is the remainder when (-48)/72 + 1*(-71)/z is divided by 12?
11
Suppose 5*a + 0*w - 72 = 3*w, -5*w = -4*a + 68. Let g = 115 - a. Calculate the remainder when g is divided by 33.
4
Suppose 20*j + 616 = 6*j. Let f = 57 + j. What is the remainder when 55 is divided by f?
3
Let x = -33 - -66. Let h(n) = 6*n**2 - 171*n + 1034. Calculate the remainder when h(7) is divided by x.
32
Suppose 11*p - 12*p + 117 = 0. Let g = 130 - p. What is the remainder when 15 is divided by g?
2
Let u(x) = x**2 + 23*x + 286. Calculate the remainder when 814 is divided by u(-18).
30
Let i(u) = u**3 - 11*u**2 - 94*u + 1027. What is the remainder when 14001 is divided by i(9)?
17
Suppose 133*b = -14*b + 57*b + 4590. What is the remainder when b is divided by 31?
20
Let w(b) = 10*b**2 + 202*b - 145. What is the remainder when w(-24) is divided by 7?
4
Suppose 0 = g - m - 18, 3*m - 46 = -3*g - 2*m. Suppose 32*p - 7177 = 2455. Let j = p + -297. Calculate the remainder when g is divided by j.
1
Suppose 11435 = 45*f - 31315. Calculate the remainder when f is divided by 78.
14
Let k(i) = -10*i**3 + i**2 - 18*i - 34. What is the remainder when k(-2) is divided by 14?
2
Let l(n) be the first derivative of n**4/4 + 4*n**3/3 - n**2/2 + n + 1688. Let t = 9 + -13. What is the remainder when 9 is divided by l(t)?
4
Let h = -2797 - -2815. What is the remainder when 2627 is divided by h?
17
Let r(d) be the second derivative of d**5/20 - d**4 + 13*d**3/6 + 11*d**2 + 3*d + 2. What is the remainder when r(11) is divided by 14?
2
Let y = -37 + 57. Suppose -41 = -0*m - m - 5*p, -y = -4*p. Calculate the remainder when 72 is divided by m + 3 + -2 - 2.
12
Let i = 22352 + -22074. What is the remainder when i is divided by 184?
94
Suppose -386 = -21*n + 874. Calculate the remainder when n is divided by 13.
8
Calculate the remainder when (631/(-3) + -3)/((-182)/273) is divided by 119.
82
Let q = -13612 + 13623. Calculate the remainder when 5783 is divided by q.
8
Let s(f) be the second derivative of -2*f**3/3 + 40*f**2 + 42*f + 1. Calculate the remainder when s(19) is divided by 4.
0
Let v(s) = 8*s**2 - 114*s - 187. What is the remainder when (-45)/2*(-24)/9 is divided by v(16)?
23
Suppose 66*k - 63*k + 913 = c, 4*k = 0. Calculate the remainder when c is divided by 8.
1
Suppose -20*l - 4314 = 406. Let t = -227 - l. What is the remainder when t is divided by 34/6 - 12/18?
4
Let x(l) = -l**3 - 14*l**2 + 32*l + 262. Let n = 26 - 18. Calculate the remainder when n is divided by x(-15).
1
Calculate the remainder when 514 is divided by (4/8)/(174/8352).
10
Suppose -4*s - r = -999, -s + 280 = -3*r + 40. Let a = s + -216. What is the remainder when a is divided by 14?
5
Let a(x) = 24*x**2 - 5*x - 29. What is the remainder when a(3) is divided by 120?
52
Suppose 449*t - 462*t + 1651 = 0. What is the remainder when 622 is divided by t?
114
Calculate the remainder when (-110)/7*(-7728)/920 is divided by 78.
54
Let o(r) = r**3 + 11*r**2 - 131*r - 75. Calculate the remainder when 79 is divided by o(-18).
4
Suppose 2*k + 3*k + 8 = 3*w, 0 = 2*k + 8. Let b(h) = -601*h + 2. Let v be b(-2). What is the remainder when v/70*(-10)/w is divided by 23?
20
Suppose -40*y + 37*y = -c - 374, -5*c = 2*y - 238. Calculate the remainder when 1119 is divided by y.
3
Let b = 9 - -16. Suppose -q = 2*g - 170, 7*g + 5*q = 2*g + 430. Calculate the remainder when g is divided by b.
9
Suppose -u + 4*f - 439 = -6*u, -4*f - 471 = -5*u. What is the remainder when u is divided by 27?
10
Suppose 21*t - 264576 = -32*t. What is the remainder when t is divided by 37?
34
Let w(o) = o**2 - 6*o + 12. Let q be w(4). Suppose -5*l = -2*t + 73, -l - 72 = -q*t + 47. What is the remainder when (35/(-10))/(3/(-72)) is divided by t?
26
Let s = -12731 + 12759. What is the remainder when 101 is divided by s?
17
Let v(h) = -2*h**3 + 21*h**2 - 3*h - 57. Calculate the remainder when 232 is divided by v(10).
11
Let f = -43 + -12. Let k(q) = 7*q + 1. What is the remainder when k(12) is divided by (-615)/f - 6/33?
8
Let y = 65 - 61. Suppose -f - y = -14. Suppose d = -d + f. Calculate the remainder when 25 is divided by d.
0
Suppose -50*a + 42 = -49*a + 3*t, 0 = -t + 4. Calculate the remainder when 1677 is divided by a.
27
Suppose 12*y = 3*y + 594. Suppose -5*s - 2*o = -122, -80 = -5*s + o + 54. Calculate the remainder when y is divided by s.
14
Suppose 22*z - 2*i + 2 = 23*z, -2*z + 2*i = -16. Suppose -3*b = 4*a - 718, 0 = -5*b + z*b - 3*a - 261. Calculate the remainder when b is divided by 50.
46
Suppose 52*g = 155*g - 2987. Calculate the remainder when 93 is divided by g.
6
Let z = -1501 + 3131. Calculate the remainder when z is divided by 234.
226
Let k(h) = -h - 2. Let q be k(-2). Suppose q = 14*z + 1208 - 46. Let c = -2 - z. Calculate the remainder when c is divided by 7.
4
Let h(d) = -3*d + 19. Let k be h(7). Let c be k/11 - 112/(-11). Calculate the remainder when 87 is divided by (-4)/c - (-268)/20.
9
What is the remainder when ((-6)/9)/(30/(-1755)) is divided by (-460)/(-38) - ((-24)/76)/(-3)?
3
Let d = 1947 + -1868. Calculate the remainder when 152 is divided by d.
73
Suppose 17*w - 1320 = 91. Calculate the remainder when 190 is divided by w.
24
What is the remainder when 434 is divided by 3/4*1440/108 - -65?
59
Let w(o) = o**2 - 14*o - 20. Let b be w(11). Let s = b + 57. Suppose -s*i = -3*q - 53, i + 3*q + 31 = 3*i. Calculate the remainder when 96 is divided by i.
8
What is the remainder when (-9397*(5 + -6))/(10*5/50) is divided by 94?
91
Let c = -28 + 325. Suppose -1095 = -19*q - c. What is the remainder when 163 is divided by q?
37
Let n(c) = -c**3 + 7*c**2 + 23*c + 3. What is the remainder when n(-11) is divided