n 2 is divided by ((-210)/18)/i - (-2)/(-3)?
0
Let i be (-1)/(-2)*(2 - 90). Let k = 139 + i. Suppose p - 3*p + 21 = h, 3*p = -6. Calculate the remainder when k is divided by h.
20
Suppose -5*z - 22 = -4*z. Let j = z + 25. Let m(f) = 12*f - 9. Calculate the remainder when m(j) is divided by 14.
13
Calculate the remainder when 30/70 - (-23000)/70 is divided by 169.
160
Calculate the remainder when 353 is divided by (61 - 57)*(-2)/20 - (-397)/5.
37
Suppose 3*u = g + 12, 1 + 5 = 3*u + g. Suppose -2*p + 4*r + 14 = 0, 2*r - 3 + 13 = -2*p. What is the remainder when 45/(-10)*p + 3/6 is divided by u?
2
Let y(z) = -z + 36*z**3 + z. Let n = -431 - -432. Calculate the remainder when y(n) is divided by 13.
10
Let q(g) = -3 + 4*g - 21*g**3 - g**2 - 7*g - g. Let d be q(-1). Let l = -8 + d. Calculate the remainder when 64 is divided by l.
12
Let k = -548 + 361. Let t = k - -337. Suppose -207 - t = -3*m. What is the remainder when m is divided by 30?
29
Let o be ((-272)/3)/(6/(-27)). Let b = 554 - o. Calculate the remainder when b is divided by 55.
36
Let j = 1119 + -873. Suppose -31*y + j - 60 = 0. What is the remainder when 125 is divided by y?
5
Suppose -9*k + 44*k - 2310 = 0. What is the remainder when 986 is divided by k?
62
Let n be (64/24)/(-1 + (-15)/(-9)). Let z(a) = 6*a**3 - 5*a**2 + 13*a - 10. Calculate the remainder when z(n) is divided by 88.
82
Let t(m) = -4 - 7 + m - 2 - 2. Let s be t(12). What is the remainder when ((s - 1) + 3)*-59 is divided by 10?
9
Suppose 152 = 2*i + 5*q, -3*i - 273 = -5*q - 476. Calculate the remainder when i is divided by 27.
17
Let c = -1439 - -1446. Suppose 12*t + 5*p = c*t + 1555, -4*p = t - 308. Let i(y) = -14*y + 3. Calculate the remainder when t is divided by i(-3).
42
Suppose 0 = -l - 3*x + 434, -5*x + 720 - 2830 = -5*l. Calculate the remainder when l is divided by 18.
11
Suppose -2*t - 4*z = -2708, -3*z - 4 = 11. Calculate the remainder when t is divided by 339.
8
Let t = -4 + 9. Suppose -4*w = -4*z - 140, 15 = -t*w - 3*z + 198. Suppose -2*y = -11*y + w. Calculate the remainder when 30 is divided by y.
2
Suppose -22*f = -17*f + 510. Let z = f - -138. Calculate the remainder when z is divided by 13.
10
Let o(s) = -3*s - 24. Let w be o(-25). Suppose -m + 3*p + 37 = -8, -4*m = -5*p - 159. Let r = w - m. Calculate the remainder when r is divided by 4.
3
Suppose 675 + 62 + 220 = 33*p. What is the remainder when 1749 is divided by p?
9
Let u(b) = 2*b**2 - 41*b + 55. Suppose -2*r = -6*r + 20, 4*j + 2*r = 130. What is the remainder when u(j) is divided by 33?
31
Let r(s) be the third derivative of -s**5/60 - 5*s**4/8 + s**3/3 + s**2. Let f be r(-17). Calculate the remainder when -4*(3/(-6))/((-4)/f) is divided by 6.
4
Let z = 50285 + -50282. Calculate the remainder when 1*((37 - 0) + 2) is divided by z.
0
Suppose -5*m + 2*y + 33 = -113, m = 2*y + 26. Let f(b) = 2*b**3 - 2*b**2 - 2. What is the remainder when m is divided by f(2)?
0
Let l(v) = -3*v**3 - 32*v**2 - 11*v + 27. What is the remainder when l(-11) is divided by 7?
3
Suppose 3*y - 82 = 2*y. Let j = y + -37. Let q = 8 - -9. Calculate the remainder when j is divided by q.
11
Suppose -6*v + 7*v = 2. Suppose 2*w - 584 = -v*y, -5*w + 0*y = -3*y - 1420. Suppose -5*l - 62 = -w. What is the remainder when l is divided by 12?
9
Suppose 2*t + 2*z - 462 = 0, -z + 701 = -5*t + 8*t. Let v = t - 205. Calculate the remainder when 88 is divided by v.
28
Let o(k) = -4*k**2 - 6. Let n be o(-6). Let a be n/(-22) - (-4)/22. Let c(j) = j**3 - 7*j**2 + 3*j - 5. What is the remainder when 61 is divided by c(a)?
13
Suppose 13*i - 206 = 28. Calculate the remainder when 945/i + -1*4/(-8) is divided by 24.
5
Let z = -2692 + 3059. What is the remainder when z is divided by 168?
31
Let n = 70 - 52. Let l(o) = 7*o**3 + o**2 + 3*o - 1. Let m be l(2). Let t = m + -14. Calculate the remainder when t is divided by n.
15
Suppose -4*n = -q + 57, -5*n = -2*n - 15. What is the remainder when q is divided by (-1)/(6/(-9))*(-248)/(-93)?
1
Let o be 724/(-18) - (-78)/351. Calculate the remainder when -3 + (-110)/o - (-434)/8 is divided by 11.
10
Let z(p) = p - 5. Let a(t) = 2*t - 16. Let j(f) = -3*a(f) + 8*z(f). Let d be j(-4). Let s = d + 31. What is the remainder when s is divided by 8?
7
Let y(t) = t**3 - 43*t**2 + 125*t + 135. What is the remainder when y(40) is divided by 57?
50
What is the remainder when 259 is divided by (-4 - (-55)/(-25)*(-15)/9)*-12?
3
Let v(r) = 2*r**3 + 46*r**2 - 14*r + 180. Calculate the remainder when v(-23) is divided by 165.
7
Suppose -2*q + 4*l = 6, -5*q - l + 41 = 3*l. Suppose 0*u = -u - 4, 4*h = -q*u + 4. What is the remainder when 77 is divided by h?
5
Let q = -4462 - -4614. Suppose 3*r - 7 = -1. Let l = r + 5. Calculate the remainder when q is divided by l.
5
What is the remainder when 685 is divided by 10*22/275*170?
5
Let n = 10226 + -10182. Calculate the remainder when 1666 is divided by n.
38
Let u(y) = -11*y**3 - 2*y**2 - 3*y - 2. Suppose 6*h + n + 9 = h, -2*n = -4*h + 4. What is the remainder when (-1628)/(-55) - (-3)/(-5) is divided by u(h)?
9
Let v = 4829 - 4693. What is the remainder when v is divided by 51?
34
Calculate the remainder when (-2 - (-266 - (-11 + 7))) + -11 is divided by 15.
9
Suppose -13*g + 149 = -9*g - 51. Calculate the remainder when 1306 is divided by g.
6
Let y(v) = 101*v - 5. Let k be y(-1). Let c = k + 120. What is the remainder when 6*276/45 - (-3)/15 is divided by c?
9
Suppose 10*d + 8*d = 35*d - 3842. Calculate the remainder when d is divided by 128.
98
Let a(y) = 9*y + 81. Let j be a(-33). Let p = -211 - j. What is the remainder when 20 is divided by p?
0
Let f(b) = 12709*b - 500. Calculate the remainder when f(1) is divided by 33.
32
Suppose -551 = -10*l + 9479. Let x = l + -1483. What is the remainder when (4/(-10))/(8/x) is divided by 5?
4
Let o(c) = -c**3 - 4*c**2 - 6*c - 16. Let w be (5/10)/((-3)/24). Calculate the remainder when (-25)/(-1) + 0 + -2 is divided by o(w).
7
Suppose 0*j + 87 = j. Let l(y) = -y**3 - 4*y**2 - 14*y - 7. Let r be l(-2). Suppose r*q = -2*q + 150. What is the remainder when j is divided by q?
7
Let d(u) = u**3 - 6*u**2 - 34*u + 73. What is the remainder when 115 is divided by d(9)?
5
Suppose 223*s - 183 = -5*v + 219*s, -5*s + 190 = 5*v. What is the remainder when 208 is divided by v?
22
Suppose 3*m + 2*l = 12, -1 = 2*m - 4*l + 7. Suppose -2 = y - 5*r, -10 = -y + r - m*r. Calculate the remainder when 78 is divided by y.
6
Suppose -3*c - 2*w = -30086, 11*w - 8 = 15*w. What is the remainder when c is divided by 66?
64
Suppose -r = -5 - 12. Let g be (75/120)/((-3)/(-24)). Calculate the remainder when ((-2)/g)/((-28)/4620) is divided by r.
15
Suppose -15*i - 73 = -16*i. Suppose 9*j - 84 = 11*j. Let q = j - -67. Calculate the remainder when i is divided by q.
23
Suppose 5*y - 255 = -115. Suppose -5*x = -y*g + 30*g - 215, 4*g + 5*x - 405 = 0. What is the remainder when g is divided by 25?
20
Let q(b) = 5*b + 68. Let l be q(-18). Calculate the remainder when 306 is divided by 12 - ((-4)/l - 312/143).
12
Let d = 3874 + -3168. Calculate the remainder when d is divided by 181.
163
Let i be -8*(-1)/4 + 30. Suppose -i*s + 27*s = -90. What is the remainder when 35 is divided by s?
17
Suppose -128 + 88 = a. What is the remainder when (108/(-15))/(6/a) - -1 is divided by 9?
4
Suppose -2*a - 2*a + 96 = 0. Calculate the remainder when a is divided by (1 + 16 - 0) + -1 + -541 + 538.
11
Suppose 0 = 4*g - 773 - 739. Suppose 2*r = -f + 251, 0*f - g = -3*r - 2*f. What is the remainder when r is divided by 42?
40
Let f = 532 + -329. Suppose n - 3*n = -4*i - 20, 2*n + i = 30. Suppose -5*s = r - n, -5*r + 166 = 2*s - s. What is the remainder when f is divided by r?
33
Let p be (-1 + -395)*8/(9 - -7). Calculate the remainder when 768/7 - (-5 - p/42) is divided by 29.
23
Let z(p) be the first derivative of p**4/4 + 4*p**3 + 2*p**2 + 9*p - 99. Calculate the remainder when z(-9) is divided by 31.
30
Suppose p = i + 457, 7*p - 11*p - i = -1818. Calculate the remainder when p is divided by 120.
95
Let u = -475 + 501. Suppose 16*n - u = 950. Calculate the remainder when 173 is divided by n.
51
Let d(h) = 9*h**2 - 36*h - 17. What is the remainder when 4226 is divided by d(5)?
26
Suppose -5*h + h = -4. Suppose 5*r = -3*g + 115, -974 