a(5).
9
Suppose -118 = -7*z + 1. What is the remainder when 219 is divided by z?
15
Suppose 0 = -8*f + 35 - 27. Let m = 20 - -7. Let j = m + f. Calculate the remainder when j is divided by 10.
8
Suppose 0 = 5*b, 88 = 4*j + 3*b + 272. Let r = 4 - j. Calculate the remainder when r is divided by 13.
11
Let n(l) = 2*l**3 - l**2 - l - 4. Let g be n(-3). Let y = -30 - g. Let x = -75 + 93. What is the remainder when y is divided by x?
16
Suppose 4 - 100 = -4*c. Suppose 2*n + n - c = 0. What is the remainder when n is divided by 57/18 - (-1)/(-6)?
2
Let z(p) = -p + 39. Calculate the remainder when 2 - 340/4*-1 is divided by z(16).
18
Suppose 324 = 3*o + o. Let z = o - 40. Calculate the remainder when z is divided by 9.
5
Let x = -48 + 93. Suppose -12*l + 1513 = 5*l. What is the remainder when l is divided by x?
44
Suppose -16 + 0 = -4*l + 4*t, -5*t = 5*l + 20. Suppose -2*i - h + 8 = -16, l = -5*i - h + 60. What is the remainder when i is divided by 5?
2
Let q = -37 + 50. Suppose q + 8 = b. Calculate the remainder when b is divided by 3.
0
Let n = -904 + 910. Let f be ((-2)/(-2) + -1)/(-2). Calculate the remainder when n is divided by (-3)/(-1) + 0 + f.
0
What is the remainder when 222 is divided by 31 + -30 - (-42)/6?
6
What is the remainder when 2 + (-42)/15 - 304/(-5) is divided by 29?
2
Let m = 23 + -3. Calculate the remainder when m is divided by 2*2*11/4.
9
Let j(t) = 2*t - 8. Suppose -3*s = -2*s. Let o be j(s). Let i = 19 + o. What is the remainder when i is divided by 7?
4
Suppose -m + 0*m = 125. Let b = m - -180. What is the remainder when b is divided by 14?
13
Let n(u) = u**3 + 3*u**2 - 4. Let t be n(-2). Suppose -4*g + 2*g - 5*i + 138 = t, -5*g + 291 = -i. Calculate the remainder when g is divided by 20.
19
Let c(f) = -f + 18. Calculate the remainder when 138 is divided by c(-10).
26
Let z = 10 + -15. Let o be 2/(-4) + z/(-2). Suppose -g = 2*d + o*g - 30, 5*g = 0. What is the remainder when d is divided by 4?
3
Let y(p) = -p**2 - 13*p + 8. Calculate the remainder when y(-7) is divided by ((-7)/3)/((-5)/60).
22
Suppose -3*q - q + 220 = 0. Suppose 3*j = 56 + q. What is the remainder when 71 is divided by j?
34
Suppose 3*b + 117 = 138. Calculate the remainder when 82 is divided by b.
5
Suppose 4*k - 2*r - 27 - 15 = 0, -4*k + 4*r + 48 = 0. What is the remainder when 233 is divided by k?
8
Let k be (-12)/(-21) - (-32)/(-7). Calculate the remainder when 0 + 4*(3 - k) is divided by 8.
4
Let j(z) = -2*z**2 - 3*z - 2. Let v be j(-2). Let d(h) = -2*h**2 - 2*h + 7. Let t be d(v). Let p = 30 + t. Calculate the remainder when 36 is divided by p.
10
Let n = 22 - 27. Let k(q) = -q**3 - 4*q**2 + 2*q - 1. What is the remainder when k(-5) is divided by (0 - n/3)*(4 + -1)?
4
Let d = -2467 - -2491. What is the remainder when 332 is divided by d?
20
Let t = 26 - 23. Let b(c) = c**3 + 2*c**2 + 7*c - 7. Calculate the remainder when b(t) is divided by 20.
19
Let x(k) = 6*k + 76. Calculate the remainder when x(-7) is divided by 12.
10
Let i(d) = 13 - 8*d**2 + d**3 + 5 - 7 + 6*d. Suppose -4*l = -63 + 27. Calculate the remainder when i(l) is divided by 37.
35
Let p(r) = -r**2 - 18*r + 167. Let u = -6 - -13. What is the remainder when p(-24) is divided by u?
2
Let b be ((-12)/16)/(4/(-176)). Suppose -33 = -6*y + b. What is the remainder when y is divided by 5?
1
Suppose 15*x - 145 = 10*x. What is the remainder when 85 is divided by x?
27
Let a(p) = -p**2 - 6*p - 5. Let q be a(-3). Suppose -251 + 7 = -q*z. What is the remainder when z is divided by 31?
30
Let d = -2301 + 2313. Suppose -2*t - 10 = 2*o, 6 + 1 = -3*t + 5*o. Calculate the remainder when t*(2/1 - 13) is divided by d.
8
Calculate the remainder when 24 is divided by 1424/89 - (-1)/((-2)/(-6)).
5
Let z(h) = h**2 + 32*h + 265. What is the remainder when z(-11) is divided by 15?
4
Suppose 8*o - 3*o = -3*j + 199, -2*j = -4*o + 146. Calculate the remainder when 166 is divided by o.
14
Let c = 66 + -62. Suppose -70 = -w - 4*h, -w - c*w + 2*h + 240 = 0. Let n(q) = 5*q - 2. Calculate the remainder when w is divided by n(3).
11
Suppose 0 = v - 2 - 1. Suppose 14*x - 7*x = 469. What is the remainder when x is divided by -2 - -1 - (-27 + v)?
21
Suppose -21*v - 133 = -28*v. Let w = 323 - 211. What is the remainder when w is divided by v?
17
Let d(t) = 10*t + 73. What is the remainder when 7 is divided by d(-7)?
1
Let w(k) = 64*k**3 - 4*k**2 + 4*k + 2. Calculate the remainder when w(2) is divided by 13.
12
Suppose -275*f + 273*f = -2. Calculate the remainder when 6 is divided by f.
0
Suppose 3*q = -n + 85, 0*q - n = -4*q + 104. Suppose 3*s - q = 2*d, s + s - 3*d = 23. What is the remainder when (4 - 7) + 30 + -2 is divided by s?
4
Suppose -3*m = m + 4*p - 236, 0 = -2*m - 3*p + 121. Let q = m + -30. What is the remainder when 77 is divided by q?
25
Let c(f) = f**2 - 7*f + 17. Let d be c(6). Let y(j) = j**3 - 11*j**2 + 8. What is the remainder when 9 is divided by y(d)?
1
Suppose -6*p = -3*p + 9. Let t be (-97 - -1)*p/6. Suppose -i = 3*i - t. What is the remainder when 21 is divided by i?
9
Let s be ((-1)/2*-1)/(2/(-20)). Let f(v) = -3*v - 3. Let z be f(-6). Let n = s + z. What is the remainder when 26 is divided by n?
6
Suppose n + i = 6*i - 49, -3*i + 147 = -3*n. Let j = n + 57. Calculate the remainder when 103 is divided by j.
7
Let u(o) = 9*o + 43. Calculate the remainder when u(12) is divided by 17.
15
Let v(f) = -f**2 + 13*f + 3. Let h be v(12). Suppose 0 = -2*u + 5*b - h, 2*b = -4*u + 48 - 18. What is the remainder when 8 is divided by u?
3
Let a be (-345)/(-30) + 1/(-2). Let n(m) = m + 21. Let o be n(a). Let b = o - 20. Calculate the remainder when 21 is divided by b.
9
Let s = 810 + -579. What is the remainder when 235 is divided by s?
4
Let t = 243 + -345. Let s = 111 + t. What is the remainder when 34 is divided by s?
7
Let v = 51 - 45. Suppose 9*h - 51 = v*h. Calculate the remainder when 83 is divided by h.
15
Let q(d) = -6*d**3 - 2*d**2 + d + 2. Let h be q(4). What is the remainder when (-56)/70*h/4 is divided by 21?
19
Let d(z) be the first derivative of 1 + 19/2*z**2 - 3*z. What is the remainder when d(2) is divided by 9?
8
Let n be 4 + 0 + -7 + 6. Let l(j) = j**2 + j. Suppose 99 = -0*z + 3*z. Calculate the remainder when z is divided by l(n).
9
Suppose -4*d - 32 = -z, 2 = -3*d - 7. What is the remainder when z is divided by 11?
9
Let i = 6 - 3. Calculate the remainder when (-60)/(-25)*(-95)/(-2) - i is divided by 16.
15
Let k = -68 - -79. Calculate the remainder when 97 is divided by k.
9
Let w = -91 - -134. Let q = 29 - w. Let j = q - -25. Calculate the remainder when 32 is divided by j.
10
Suppose -5*v = -2*v + 78. Let m = -28 + v. Let l = m - -101. What is the remainder when l is divided by 17?
13
Let z(u) = u**2 - 23*u + 78. Suppose -2*r + 3*r = 5. What is the remainder when z(20) is divided by r?
3
Let o = -31480 + 31515. Let z(y) = 5*y**2 + 3*y - 1. What is the remainder when z(-4) is divided by o?
32
Let h be (-1*(-6)/(-6))/(1/(-29)). Suppose z + 0*z = h. Calculate the remainder when z is divided by (-1 - 1) + -1 - -13.
9
Let v = 58 + -32. Suppose 2*l - 150 = -6*o + 3*o, -3*l = 0. What is the remainder when o is divided by v?
24
Calculate the remainder when 1084 - ((-282)/54 + 4/18) is divided by 78.
75
Let j(z) = 4*z**3 - z**2 + 2*z - 1. Suppose -6*g - 395 = -11*g. Suppose -23 = -6*u + g. Calculate the remainder when j(2) is divided by u.
14
Let x be 6/9*6/4. Let g(i) = 9*i**3 - i + 1. Calculate the remainder when 24 is divided by g(x).
6
Suppose 2*y - 3*g - 30 = 0, -2*y + 2*g - 5*g = -6. Let m = -51 + 86. Calculate the remainder when m is divided by y.
8
Calculate the remainder when 13/(-39) + (-356)/(-6) is divided by 22.
15
Let l = 609 - 282. What is the remainder when l is divided by 55?
52
Let b(a) be the third derivative of -a**6/120 - a**5/60 - a**4/12 + a**3/3 + 8*a**2. What is the remainder when b(-3) is divided by 14?
12
Let r(p) = p**3 + 26*p**2 - 23*p - 1. Let t be r(-27). Let h = t + 117. Calculate the remainder when 11 is divided by h.
3
Suppose t = 3*a - 33 - 73, 5*t = 4*a - 134. Suppose 66 = 2*b - a. What is the remainder when b is divided by 9?
6
Suppose -2*b - 3*v = 109, 4*b + 4*v + 227 = v. Let f = -32 - b. Suppose n + 4*g - 5 + 14 = 0, -g - 11 = -n. Calculate the remainder whe