t be ((-48)/72)/(-1 + (-5)/(-6)). Let y(i) = i**2 + 5*i + 4. Let r be y(-5). Suppose r = f - t. Calculate the remainder when 14 is divided by f.
6
Let y(s) = 14*s**2 - 27*s - 2. What is the remainder when 162 is divided by y(3)?
33
Let r = 36 + -23. Suppose 8*w + 16 = 4*w. Let x = r + w. What is the remainder when x is divided by 3?
0
Let j(z) = 10*z - 184. Calculate the remainder when 321 is divided by j(22).
33
Let x(g) = -g**3 + 4*g**2 - 2*g + 4. Suppose -2*p = 8*n - 3*n - 13, 3*n + 9 = 0. Calculate the remainder when 1/(-1 + p/13) is divided by x(3).
6
Suppose -3*h - 236 = -3*b - 4*h, 5*b - 404 = h. What is the remainder when b is divided by 12?
8
Suppose 31 + 10 = d + 5*i, -68 = -3*d - 4*i. Suppose 5*k - d = 4. Suppose -c = -k*q - 2*c + 80, -3 = -q + 4*c. Calculate the remainder when 54 is divided by q.
16
Suppose -6*x = -9*x + 30. Suppose 0 = 2*i - 4 - 8. Calculate the remainder when x is divided by i.
4
Let p = -17 + 22. Suppose -15 - 49 = -2*k - 5*o, -p*k = -5*o - 90. What is the remainder when k is divided by 5?
2
Suppose 2*l - 171 = 3*w + 2*w, -w + 89 = l. Suppose -h = -5*p + 86, 20*p = 16*p + 3*h + 60. What is the remainder when l is divided by p?
16
Suppose 11 + 5 = 2*u. Suppose i - 33 = -4*j, -4*j - 152 + 156 = 0. Calculate the remainder when i is divided by u.
5
Suppose t = -4*t - 530. Let v = 151 + t. Suppose l - 16 = -4. Calculate the remainder when v is divided by l.
9
Let n = -6 - 0. Let t(z) = -3*z - 3 + 5 - 4 - 2. What is the remainder when 25 is divided by t(n)?
11
Let r = -1680 + 1711. Calculate the remainder when 77 is divided by r.
15
Calculate the remainder when (-12 - -17 - 3)/(2/137) is divided by 6.
5
Let s(u) = -3*u**3 + 16. What is the remainder when 398 is divided by s(0)?
14
Let i(p) = p**3 + 6*p**2 + 6*p - 4. Let s be i(-4). Suppose 1971 = s*t + 5*t. Calculate the remainder when t is divided by 37.
34
Let u = -274 - -601. Calculate the remainder when u is divided by 11.
8
What is the remainder when (-8)/((-56)/651) - (4 - 3) is divided by 39?
14
Suppose -37 = 5*r - 462. Let u = 99 - r. What is the remainder when 3/9*(200 - -1) is divided by u?
11
Suppose -s + 135 - 71 = 0. What is the remainder when s is divided by 37?
27
Suppose -2*m - 3*i + 57 = 0, -2*m + 5*i = -13 - 4. What is the remainder when 230 is divided by m?
20
Let u(s) = 2*s**2 - 5*s - 18. Suppose 30 = 62*a - 57*a. Calculate the remainder when u(a) is divided by 15.
9
Suppose 22*d = -b + 25*d + 378, -3*b - 3*d + 1134 = 0. Calculate the remainder when b is divided by 55.
48
Let y(d) = 2*d**2 + d - 3. Suppose -802*v - 18 = -805*v. Calculate the remainder when y(2) is divided by v.
1
Calculate the remainder when 677 is divided by 2835/25 - -3*(-2)/(-10).
107
Calculate the remainder when 134 is divided by 13/(-130)*-85*2.
15
Let p(h) = -h**3 + 2*h**2 - 2*h - 1. Let y be p(-2). Suppose 81 = 5*b - y. Calculate the remainder when 72 is divided by b.
12
Let a(q) = q - 3. Let s be a(-6). Let y be 4/(29/s + 3). Let w = -11 - y. What is the remainder when w is divided by 5?
2
Suppose -n + 136 = 2*r + 2*r, -n + 154 = -2*r. Calculate the remainder when n is divided by 68.
12
Let k(d) = -d**2 + 3*d + 3. Let i be k(3). Let a(f) = -f**3 + 2*f**2 + 4*f + 1. What is the remainder when 14 is divided by a(i)?
2
Let f = 196 - 291. Let k = -17 - f. Calculate the remainder when k is divided by 21.
15
Let q = 29 - 22. Suppose q*r = 15*r - 168. What is the remainder when 40 is divided by r?
19
Let l(h) = -20*h**2 + 41*h - 14. Let c(t) = 7*t**2 - 14*t + 5. Let w(m) = -17*c(m) - 6*l(m). Calculate the remainder when w(11) is divided by 17.
15
Let u(n) = n**3 + 11*n**2 - 26*n + 5. Let b be u(-13). Calculate the remainder when 147 is divided by -1 + (30 - (b + -6)).
27
Suppose -6 = 3*c - 42. Let q(s) = 6 - s + 3*s - s**2 + 10*s. Calculate the remainder when 15 is divided by q(c).
3
Let l(q) = -4*q + 11. Let h be l(9). What is the remainder when 34 is divided by ((-1)/1)/(5/h)?
4
Let x(q) = -q**3 + 31*q**2 + q + 29. Calculate the remainder when x(30) is divided by 16.
15
Suppose 4*a + 18 = 2*k, 3*a + 6 + 3 = 0. Suppose 5*r - 25 = 5*g, -4*r = -g + k*g - 8. Calculate the remainder when 4 is divided by r.
1
Let p = -482 + 616. Calculate the remainder when p is divided by 43.
5
What is the remainder when 33 is divided by (-18)/15*(-35)/3?
5
Suppose 5*u - 17 + 97 = 0. What is the remainder when ((-522)/12)/(6/(-8)) is divided by (2 + u/4)*-6?
10
Suppose s = -3*t + 673, 7*s + 670 = 3*t + 5*s. Calculate the remainder when t is divided by 9.
8
Suppose 3*c = 4*c + 4*x - 35, 2*x = 3*c - 77. Let b = c + -25. Suppose -b*i = -1 - 3. What is the remainder when 2 is divided by i?
0
Let h(w) = -w - 12 - 26 + 35. Suppose 10 = -2*m - 0*m. What is the remainder when 2 is divided by h(m)?
0
Suppose 35 = 2*t - 65. Let s be 35/(-15) + 4 - 2/(-6). Suppose g - s*x + 6*x = 21, 4*g = -4*x + 72. Calculate the remainder when t is divided by g.
16
Let f be (6 - 2)/4 - 51. Let u = -6 - f. Suppose -2*m + 22 = -0*m + y, 3*y = 5*m - u. What is the remainder when m is divided by 3?
1
Suppose 134*q + 276 = 140*q. Calculate the remainder when q is divided by 17.
12
Suppose 1100 = 9*k + 2*k. What is the remainder when k is divided by 34?
32
What is the remainder when 224 is divided by ((-408)/510)/(1/(-90))?
8
Let i(k) = -79*k**3. Let z be i(-1). Let y = z + 2. Suppose -s - y = -5*j + 6, 3*s = -6. Calculate the remainder when 48 is divided by j.
14
Let k(g) = -3*g + 24. What is the remainder when 176 is divided by k(-7)?
41
Calculate the remainder when (-4926)/(-12) - 18/36 is divided by 106.
92
Let z(t) = -t**3 + 10*t**2 + 8*t + 5. Let n be (8 - 17)/(-1*1). What is the remainder when z(n) is divided by 40?
38
Let u(p) = -p**2 - 7*p - 6. Let k be u(-5). Suppose k*g = 8*g - 8. Let i = 29 - 24. What is the remainder when i is divided by g?
1
Let i(u) = u - 7. Let d be i(8). Let r(f) = -7 - 2*f + d - 2*f. What is the remainder when r(-5) is divided by 5?
4
What is the remainder when 14 is divided by 4/(-8) + 11/2?
4
Let l = -53 + 53. Suppose l = u - 42 + 13. What is the remainder when u is divided by 8?
5
Let k(r) = r**3 - 24*r**2 - 3*r + 83. Calculate the remainder when 536 is divided by k(24).
8
Calculate the remainder when (-45)/(45/(-9)) + 106 is divided by 54.
7
Let p = -3046 + 3263. What is the remainder when p is divided by 16?
9
Let t(m) = m**3 + 8*m**2 - 9*m - 6. Let y be t(-9). What is the remainder when 31 is divided by ((-22)/y)/((-1)/(-3))?
9
Suppose -4*z - 7 - 5 = 0. Let p be (-8 + 15)*6/3. Let y = z + p. What is the remainder when 21 is divided by y?
10
Suppose 0 = -r + 2*i + 79, 1 = -4*i - 11. Let p(v) be the first derivative of -v**2 + v - 1. What is the remainder when r is divided by p(-7)?
13
Let x = -7 + 12. Suppose 0 = o - 1, -3*u + 115 = u - x*o. Let w = -14 - -25. What is the remainder when u is divided by w?
8
Let x = 19 + -18. Suppose 2*s + x = 19. Calculate the remainder when 43 is divided by s.
7
Let d(q) = -q**3 - 7*q**2 + 9*q + 12. Let u be d(-8). Let h be (14 - u) + (-2 - -2). What is the remainder when 39 is divided by (-4)/(-8)*2*h?
9
Let m(k) = -k**3 + 47*k**2 - 43*k - 14. Calculate the remainder when m(46) is divided by 35.
19
Let f = 505 + -488. What is the remainder when 99 is divided by f?
14
Let m = -7 + 11. Let z be (-1)/m - (-85)/20. What is the remainder when (1 - -6)*(z - -1) is divided by 9?
8
Let p(r) = -r**3 - 5*r**2 + 14*r + 5. Let i be p(-7). Suppose -207 = -i*j - 4*v, 3*j - 153 = 3*v - 45. What is the remainder when j is divided by 22?
17
Let a(t) = -t**2 - 2*t + 1. Let c be a(-1). Calculate the remainder when (-6 + c)*(-11)/22 is divided by 2.
0
Suppose 7*m + 2 = 30. Suppose m*q = -0*q - 4, -4*q = 2*u - 30. Calculate the remainder when 32 is divided by u.
15
Suppose -10*u + 12*u = 14. Let y(x) = x**3 - 6*x**2 + 2*x - 57. What is the remainder when (-1)/(-3) + (-166)/(-6) is divided by y(u)?
4
Suppose 104*g = 102*g + 28. Suppose g = k - c, 2*c = 5*k - 132 + 50. What is the remainder when 105 is divided by k?
15
Let k = 5 - 0. Suppose 0 = -c + k*q + 4, -2 = 2*q - 8. What is the remainder when 73 is divided by c?
16
Let u(p) = p + 3. Let h be u(0). Suppose 18 = h*z - z. Suppose 0 = -z*o + 13*o - 296. What is the remainder when o is divided by 25?
24
Calculate the remai