5. Let l(s) = 3*c(s) - 8*o(s). Calculate the remainder when 61 is divided by l(-2).
29
Let d(f) = -f - 4. Suppose 5*a + 15 = 2*a. Let p = a - -12. Calculate the remainder when p is divided by d(-7).
1
Let g(o) = o**2 - o - 21. Let r be g(6). Let w(d) = 5*d - 31. Calculate the remainder when 27 is divided by w(r).
13
Suppose -z + 20 = -4*q, 3*q = -2*z + 10 - 3. Calculate the remainder when 52 is divided by z.
4
Suppose -3*c = 2*t - 81, 4*c = -c - 5. Let s = -40 - -48. Suppose s = 4*q - 36. Calculate the remainder when t is divided by q.
9
Let i(g) = g**3 + 5*g**2 + 3*g + 4. Let f(v) = -2*v**3 - 49*v**2 - 24*v + 8. What is the remainder when i(-3) is divided by f(-24)?
5
Suppose -j - 3*y = -176 - 96, -2*j + 551 = -y. Let z = -156 + j. Calculate the remainder when z is divided by 24.
23
Calculate the remainder when 102 is divided by ((-189)/(-105))/(3/135).
21
Suppose -202 - 446 = 6*z. What is the remainder when ((-2)/(-3))/((-1)/(z/6)) is divided by 3?
0
Let j be 16/(-64) + (0 - (-589)/4). Suppose r + 125 - j = 0. What is the remainder when 57 is divided by r?
13
Let o = -1 + 2. Let s(q) = -q**2 - 20*q - 9. What is the remainder when s(-15) is divided by (-1 + 0)/(o/(-17))?
15
What is the remainder when (228/(-45))/(2/(-5))*3 is divided by 36?
2
Let b(f) = -9*f + 14. Calculate the remainder when 179 is divided by b(0).
11
Let r(i) = 21*i**3 + 4*i**2 - 8*i + 9. Calculate the remainder when r(2) is divided by 33.
12
Let q(f) = 8*f**2 + 3*f - 2. Let y be q(2). Let z = y - 22. Calculate the remainder when 67 is divided by z.
11
Let a = 618 - 1165. What is the remainder when a/(-9) - (-4)/18 is divided by 16?
13
Let s = -10 - -16. Suppose -102 = -5*c + 4*t, 3*t = t - s. Let y = -11 + c. What is the remainder when 19 is divided by y?
5
Suppose 7*x - 3*x + 12 = 5*b, 0 = 4*b - 16. Calculate the remainder when 48 is divided by 24 - (-4)/(x + 2).
23
Let x(n) be the first derivative of -n**4/4 + 14*n**3/3 + 17*n**2/2 - 13*n + 3. What is the remainder when (14/(-3))/((-6)/63) is divided by x(15)?
15
Suppose d + 3*r - 21 = 0, 3*d - 32 = -d + r. Let c(m) = d*m**3 - 3*m**3 - 4 + 6*m**2 - 3*m**3 - 4*m**3. What is the remainder when c(4) is divided by 10?
8
Calculate the remainder when (9880/156)/(6/9) is divided by 81.
14
Suppose 0 = -2*i - 16 + 58. Suppose 10*s - 5*s = 60. What is the remainder when i is divided by 2/6 + 128/s?
10
Suppose a + 13 = 10. Let x(w) = -4*w + 5. What is the remainder when 49 is divided by x(a)?
15
Suppose -20 = -5*v, 3*y - 5*v + v + 217 = 0. Let g = y - -74. What is the remainder when 31 is divided by g?
3
Suppose 4*x - 12*n + 9*n - 105 = 0, -85 = -3*x - 4*n. Calculate the remainder when 159 is divided by x.
24
Let g = -32 - -37. Suppose -4*a + 282 = -2*d, g*a - 152 - 198 = 3*d. What is the remainder when a is divided by 15?
13
Let r = 305 + -262. What is the remainder when r is divided by 6?
1
Let l(i) = i**2 - 4*i + 4. Let x = 14 - 19. Let n be l(x). Suppose -5*b + 80 = 5*g, -3*b - 2*g = -0*b - n. What is the remainder when b is divided by 7?
3
Let u(p) = -p**3 + 6*p**2 - p + 3. What is the remainder when u(3) is divided by 4 - (7/(-2) - (-2)/4)?
6
Let r(o) = o**2 + 14*o + 6. Let f be r(-14). Suppose -f*i - 10 = -7*i. Calculate the remainder when 36 is divided by i.
6
Let d(j) be the first derivative of -j**3/3 + 3*j**2/2 + 7*j + 2. Let g(t) be the first derivative of d(t). What is the remainder when 36 is divided by g(-5)?
10
Let g(s) = -4*s + 83. Calculate the remainder when 56 is divided by g(15).
10
What is the remainder when 437 is divided by -16*45/(-120) - (0 + -43)?
45
What is the remainder when (717/9)/((-7)/(-63)) + 3 is divided by 4?
0
Let s(r) = 34*r - 96. What is the remainder when 203 is divided by s(5)?
55
Let k(n) = -2*n**3 - 3*n**2 - 4*n - 2. Let u(s) = -s**3 - s**2 + 20. Let z be u(-4). Let q = z + -49. Calculate the remainder when q is divided by k(-2).
9
Suppose -60 = -4*m + 4*w, -9*m = -8*m - 3*w - 21. Calculate the remainder when 2/(576/285 + -2) is divided by m.
11
Let n(u) = 7*u**3 - u**2 + u. Let i be n(1). Suppose 0*s - i = -s. Suppose 2 = p - 25. Calculate the remainder when p is divided by s.
6
Suppose 0 = 6*j - 3*j - 327. Calculate the remainder when j is divided by -5 - (38124/(-864) + (-2)/(-16)).
31
Suppose 4*b - 5*g - 317 = 0, 4*b + 2*g - 313 = 3*g. Suppose 0 = -13*m + 10*m + b. Calculate the remainder when 100 is divided by m.
22
Let r be (2/2)/((-2)/(-482)). Suppose 0 = -4*d - 1 + r. Suppose f - 5*f = -d. What is the remainder when f is divided by 6?
3
Let s = -15 - -13. Calculate the remainder when 18 is divided by -15*s*(0 - 4/(-12)).
8
Suppose -2*c + 1036 = 5*l + 362, -3*l + 398 = -2*c. Calculate the remainder when 535 is divided by l.
133
What is the remainder when 69 is divided by (5 - (5 - -3) - -19) + -1?
9
What is the remainder when 246 is divided by ((-204)/18 + 10)*279/(-12)?
29
Suppose -80 = -t - 4*t. Suppose 0 = -2*s - 4*p + 42 + t, -s - 5*p = -29. What is the remainder when 57 is divided by s?
28
Let v be (10/20)/((-1)/(-4)). Suppose 0 = -2*n - 2 - 4, 0 = h + v*n - 3. Calculate the remainder when h is divided by 6.
3
What is the remainder when (-4797)/(-82) + (-6)/4 is divided by 30?
27
Suppose 308 = -99*t + 106*t. What is the remainder when 569 is divided by t?
41
Calculate the remainder when 26 is divided by 4 + (-20)/(-5) + -2 + 8.
12
Suppose 2*j - 14 - 20 = 0. Let d = -1 + j. What is the remainder when 79 is divided by d?
15
Let i(a) = 2*a**2 + 23*a + 42. Suppose 39 = 2*b - 49. What is the remainder when b is divided by i(-10)?
8
Suppose -o = -0*o - 4*b + 84, 0 = -o - 5*b - 93. Let g = o - -155. Calculate the remainder when g is divided by 18.
13
Suppose -3*z = 5*h - 2*z - 202, -z = -2*h + 78. Suppose -9*i + h = -257. What is the remainder when 41 is divided by i?
8
Let k = -23 + 23. Let c = k + 18. Calculate the remainder when c/27*(18 + 0) is divided by 7.
5
Let h(o) be the first derivative of -o**4/4 + 2*o**3 + 7*o**2/2 + 9*o + 3. Let k(a) = 2*a**2 + 3*a - 9. What is the remainder when h(7) is divided by k(2)?
4
Let o(f) = -f**2 - 5*f + 9. Let m be o(-6). Let u(a) = 3*a - 6*a + 2*a + m + 3*a. Calculate the remainder when u(8) is divided by 7.
5
Let v(r) be the first derivative of -9*r**4/4 - r**2 - 3*r + 1. Suppose 0 = 2*k + 2*q, 4*k = 3*k + 3*q - 8. What is the remainder when v(k) is divided by 19?
16
Let d(q) = q**3 - 8*q**2 - 21*q + 45. What is the remainder when d(10) is divided by 14?
7
Suppose 45*k - 50*k - 3*w = -40, 0 = -3*k - w + 20. Let c(b) = b**2 + 2*b + 3. What is the remainder when c(-6) is divided by k?
2
Let c(q) = 9*q. Let k be c(2). What is the remainder when 70 is divided by (8 - k)/((-4)/6)?
10
Let t(g) = 57*g - 1103. What is the remainder when 340 is divided by t(20)?
7
Suppose -261*q + 1168 = -245*q. What is the remainder when q is divided by 25?
23
Suppose -4*t - 27 = 4*a + 69, 2*t - 120 = 5*a. Let s = 39 + a. What is the remainder when 2*(-86)/(-4) - 0 is divided by s?
13
Suppose -137*y - 21 = -144*y. Calculate the remainder when 7 is divided by y.
1
Suppose -x - 302 = -3*i, 2*i + 50*x = 49*x + 198. What is the remainder when i is divided by 8?
4
Suppose 7*u - 32 = 9*u. Let y(l) = -4*l - 36. What is the remainder when 53 is divided by y(u)?
25
Suppose 0*j - j + 13 = 0. Suppose 5*b = j + 57. Let q = -62 - -103. Calculate the remainder when q is divided by b.
13
Let n = -71 - -80. Suppose -20*q = -15*q - 260. Calculate the remainder when q is divided by n.
7
Suppose -5*i + 228 = -352. Suppose -296 = 47*b - 2176. Calculate the remainder when i is divided by b.
36
Let x = 55 - 76. Let r(w) = w**2 + 20*w - 12. What is the remainder when 21 is divided by r(x)?
3
Suppose 5*m - 7 = 18. Suppose d - 6*d + 205 = -m*k, 3*k + 86 = 2*d. Let j = 1122 - 1112. Calculate the remainder when d is divided by j.
7
Let t(x) = 20*x - 375. What is the remainder when t(22) is divided by 14?
9
Suppose -2*d = 2*w - 68, 2*d - 7*w = -2*w + 96. What is the remainder when d is divided by (-16)/((-16)/(-5))*(-55)/25?
5
Let i(z) = z**2 + 25*z - 258. What is the remainder when i(-35) is divided by 88?
4
Suppose 96*v - 30 = 90*v. What is the remainder when 121 is divided by v?
1
Let j be 2 - (-3)/(-2) - 9/6. What is the remainder when 29 is divided by (-36 + (-6 - -10))/(-3 - j)?
13
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