*o - 80 + 214 = 5*z. Suppose -2*t = -4*t + z. Calculate the remainder when 69 is divided by t.
13
Suppose 8*t - 4*d + 108 = 10*t, -2*t + 112 = 5*d. What is the remainder when 321 is divided by t?
45
Let y = 2 - -14. Suppose -b + 3*q = -28, -2*q = -b - b + 52. Let w = 4 + b. What is the remainder when w is divided by y?
13
Suppose 4*n = 2*n + 8. Suppose n*r - 41 + 5 = 0. Calculate the remainder when 16 is divided by r.
7
Let i(v) be the third derivative of v**5/60 + 13*v**4/24 + 35*v**3/6 - 21*v**2. What is the remainder when 60 is divided by i(-11)?
8
Let g(s) = -s**3 - 18*s**2 - 78*s + 1. Suppose 3*o = -17 - 46. Calculate the remainder when g(-7) is divided by (-6)/o - 38/(-14).
2
Suppose -2*n = c - 19, -49 = -5*n - 0*n - c. Suppose -n*x + 57 = -3. Suppose -5 + 35 = 3*q. Calculate the remainder when q is divided by x.
4
Suppose -48*s + 2428 + 500 = 0. What is the remainder when 295 is divided by s?
51
Suppose 0 = 137*b - 140*b + 165. What is the remainder when b is divided by 22?
11
Let z(g) = g**3 - 7*g**2 - 35*g - 22. Let r be z(11). Suppose b + 5*q - 20 = -0*b, -2*q + r = 5*b. What is the remainder when 24 is divided by b?
9
Let m = -165 + 168. Let s(u) = u**2 + 7*u - 5. Let a be s(-8). Suppose 0 = -5*l + 2*j - a*j + 69, 2*l - 46 = -5*j. What is the remainder when l is divided by m?
1
Let v be 4 + (-150)/(-45)*12/10. Calculate the remainder when 142 is divided by 6/v - (-1695)/60.
26
Suppose -6*n + 36*n - 1170 = 0. What is the remainder when 69 is divided by n?
30
Suppose -3*n + 9 + 21 = 0. Suppose -v - 5*z = 27, 69 = -2*v - 3*z + 1. Let a = -19 - v. What is the remainder when a is divided by n?
8
Suppose 0*v = -9*v + 180. Calculate the remainder when 137 is divided by v.
17
Suppose 5*y = -0*y + 485. Let x = -64 + y. Let g = -18 - -30. What is the remainder when x is divided by g?
9
Let l = 3 - 0. Suppose l*x + 2*c - 32 = 0, 2*c - 3 = -13. What is the remainder when 79 is divided by x?
9
Suppose 3*m - 6999 + 1299 = 0. Suppose -a + m = 9*a. Calculate the remainder when a is divided by 24.
22
Let u be (-25)/(-3 - 2) - -6. Suppose -2*f - 10 = -g + 3*f, f + 2 = -2*g. Let l = u - g. What is the remainder when 18 is divided by l?
7
Let k(p) = -p**3 + 11*p**2 - 7*p + 26. Calculate the remainder when k(7) is divided by 8.
5
Suppose -520 = -23*f - 3*f. Calculate the remainder when 198 is divided by f.
18
Let b = 0 + 3. Suppose 5*j + 29 = b*h, -2 = 4*j + 2. Suppose 0 = -c - 5*f - 6, -5*f = h + 2. What is the remainder when 8 is divided by c?
0
Suppose -2*h - 34 = 5*o, -6*o + 68 = -4*h - o. Let c = 17 + h. Let i = 5 - c. What is the remainder when i is divided by 4?
1
Let w(r) = 2*r**3 + 4*r**2 - 6*r + 21. Let u(b) = -3*b**3 - 3*b**2 + 5*b - 20. Let s(q) = 3*u(q) + 4*w(q). Calculate the remainder when 9 is divided by s(6).
3
Let y = -19 + 22. Suppose 0 = y*g - 6*g + 228. Calculate the remainder when g is divided by 11.
10
Suppose 0 = 16*b - 81 + 1. Calculate the remainder when 11 is divided by b.
1
Suppose 5*n = -4*w + 67, 4*w = 5*n - 0*n + 117. What is the remainder when 172 is divided by w?
11
Let v(g) = 3*g - 4. Let z be v(2). What is the remainder when (6/z)/(3/9) is divided by ((-4)/(-2))/((-4)/(-6))?
0
Suppose -4*b + 3*g = 21, -b + 2*g - 12 = -g. What is the remainder when b/18 - 74/(-12) is divided by (2/6)/(2/18)?
0
Suppose 81*b - 208*b + 508 = 0. Calculate the remainder when 8 is divided by b.
0
Suppose 2*z - 4*c = 126, -4*z - 7*c + 2*c + 304 = 0. Let t(n) = -20*n - 5. What is the remainder when z is divided by t(-1)?
11
Suppose 19*f = -5*f + 1152. Let g(p) = 2*p**2 + p. What is the remainder when f is divided by g(2)?
8
What is the remainder when (1570/5)/2 + -2 is divided by 26?
25
Suppose -3*v + v + 24 = -2*f, -5*f = 0. Calculate the remainder when 59 is divided by v.
11
Suppose 19*o - 4*o - 300 = 0. What is the remainder when 90 is divided by o?
10
Let i = 2 + -35. Let k = i - -36. Calculate the remainder when 13 is divided by k.
1
Let v(b) = 204*b**2 + 12*b + 14. Calculate the remainder when v(-1) is divided by 16.
14
Let k = 2393 + -2113. Calculate the remainder when k is divided by 79.
43
Suppose -44 = -7*g - 9. What is the remainder when 1*(32/4 + -1) is divided by g?
2
Let q(y) = y**3 + 3 - 4*y**2 + 2*y**3 - 3*y + 2*y**2 + 0*y. Suppose 7*o = 13*o - 222. What is the remainder when o is divided by q(2)?
11
Suppose 2*i - 5*i = 30. Let x = 18 + i. Calculate the remainder when (4/x)/((-3)/(-102)) is divided by 9.
8
Suppose -z + 13 - 85 = 5*y, -336 = 5*z + y. Suppose 4*d = 4*p - 8 + 60, p = -d - 11. Let a = p - z. Calculate the remainder when a is divided by 14.
13
Suppose -2*g + 749 = 71. What is the remainder when g is divided by 87?
78
Suppose -4*i = z + z - 202, -3*z - 3*i + 297 = 0. Suppose -3*l + z = -5. Calculate the remainder when 99 is divided by l.
31
Suppose 4*g - 13 = 7. Suppose 3*s = -5*u + s + 78, 43 = 3*u + g*s. Calculate the remainder when 76 is divided by u.
12
Let o = -48 + 174. What is the remainder when o is divided by 38?
12
Suppose 0 = 2*u - 43 + 5. Let t(m) = m**3 - 20*m**2 + 21*m - 22. What is the remainder when 28 is divided by t(u)?
12
Let m = 533 - 448. What is the remainder when m is divided by 25?
10
Let d = 1581 + -1426. Calculate the remainder when 319 is divided by d.
9
Let o(f) = -6*f + 2*f**3 + 11*f**2 - 8 + 8*f - 3*f**3. What is the remainder when o(11) is divided by 5?
4
Suppose -21 + 190 = 13*i. What is the remainder when 90 is divided by i?
12
Suppose -222 = -5*r + x + 270, -303 = -3*r - 2*x. Calculate the remainder when r is divided by 62.
37
Suppose 4*b + 3*c = 740, -5*c - 98 = -b + 87. What is the remainder when b is divided by 31?
30
Let n = -18 - -22. Suppose 2*j - n*j - 2*g = -1582, 0 = -4*j - 2*g + 3162. What is the remainder when j/35 - (-9)/21 is divided by 13?
10
Suppose -5*y + 8*y = 18. Let z(q) = -q**2 - 8*q + 6. What is the remainder when z(-5) is divided by y?
3
Suppose -5*m - 3 = -2*l + 2, 19 = 3*l + 4*m. Suppose -2*a + 3*u = 4 - 16, -5*a + 72 = 3*u. What is the remainder when a is divided by (7/(-2))/((5/(-2))/l)?
5
Let i = 1491 + -1369. What is the remainder when i is divided by 31?
29
Suppose 7*j = 24 - 3. Calculate the remainder when 12 is divided by j*-5*2/(-15).
0
Suppose -4*z + 111 = 27. Let x(g) = -g**3 - 20*g**2 - 39*g - 27. Let r be x(-18). Let p = r + -21. What is the remainder when z is divided by p?
3
Let k = 472 - -212. Suppose k = 6*w - 534. Calculate the remainder when w is divided by 51.
50
Let i(f) = 2*f**3 - 5*f - 5. Let p be i(3). Suppose -118*w + 117*w = -p. What is the remainder when 134 is divided by w?
32
Let m = 443 - 329. What is the remainder when m is divided by 51?
12
Let z(i) = i - 2. Let j be z(4). Suppose 19 = 3*d + k, 0 = 2*d + 6*k - j*k - 16. Calculate the remainder when 22 is divided by d.
4
Let z(p) = 12*p**2 - 3*p + 2. Let o be z(2). What is the remainder when (0 - o)*(-1 - 1/(-2)) is divided by 8?
6
Suppose 676 = 6*n + 34. What is the remainder when 225 is divided by n?
11
Let f(b) = b + 32. What is the remainder when 63 is divided by f(0)?
31
Let q(f) = 16*f + 403. Calculate the remainder when q(-20) is divided by 12.
11
Let h(g) = -g. Let v(d) = d**3 - d**2 + 6*d - 2. Let r(o) = 3*h(o) + v(o). Calculate the remainder when 29 is divided by r(2).
5
Let t(i) = -6*i + 49. Let k be t(4). Calculate the remainder when 1005/k - (-1)/(-5) is divided by 7.
5
Let m(q) be the first derivative of 27*q**2/2 + 14*q - 8. What is the remainder when m(5) is divided by 25?
24
Let x(v) = 3*v**2 + v. Let s be x(-2). Calculate the remainder when (3*s)/5*6 is divided by 13.
10
Suppose -6*w = 2*w + 312. Let h = w - -87. Calculate the remainder when 141 is divided by h.
45
Let c be 418/(-20)*2 + (-2)/10. Let g = c + 69. What is the remainder when 77 is divided by g?
23
Let i(s) = -s**3 + 22*s**2 - 39*s + 14. Suppose 2*g + 2*z = 48, -5*z + 0*z = -g. What is the remainder when 65 is divided by i(g)?
31
Suppose 0 = 49*w + 835 - 5245. What is the remainder when 537 is divided by w?
87
Suppose 2*c + 540 = 4*g - 0*c, -4*g + 568 = 5*c. What is the remainder when g is divided by 24?
17
Suppose -d = -3*g + 2*g + 11, 0 = 5*g - 4*d - 50. Suppose g*j = j + 60. What is the remainder when 1/((0 + 2/(-94))*-1) is divided by j?
11
Suppose -68 = -d + 4*t, 2*t - 35 = 5*d - 357. What i