e 0*u = -7*u + 273. Calculate the remainder when u is divided by 16.
7
Suppose 2*r + 108 = 4*r + 4*w, 4*w + 20 = 0. Suppose -4*z + 74 = 2*f, 4*f - 12 = -0*f. What is the remainder when r is divided by z?
13
Let c = 14 - -25. What is the remainder when c is divided by 35*(0 + 2)/((-10)/(-3))?
18
Let k(b) = -4*b**2 - 2*b + 1. Let l be k(-2). Let r = l - -7. Calculate the remainder when 14 is divided by 16/(r + 1 - -5).
6
Suppose o = 32 + 77. Let h = o - 84. Calculate the remainder when h is divided by 15.
10
Let q(l) = 20*l**2 - 13*l - 9. Calculate the remainder when q(-2) is divided by 14.
13
Calculate the remainder when (-43 + 44)/((-945)/(-472) - 2) is divided by 17.
13
Let r be 1384/20 + 12/15. Suppose 5*k = 5*x + r, -k = -0*x + x - 8. Suppose -4*m + k = 5*f, 3*m + f - 47 = 5*f. Calculate the remainder when m is divided by 6.
3
Suppose 62 = -7*n - 204. Let y be (20/(-5) - n)/2. Let v = -10 + y. What is the remainder when 11 is divided by v?
4
Suppose 9*q + 5*v = 4*q + 220, -2*q + 5*v + 74 = 0. Suppose 2*s - 90 = -4*g, -7 = -3*s - 4. Calculate the remainder when q is divided by g.
20
Suppose 50 = -2*i + 5*i + 5*m, -3*i + 38 = 2*m. Let d be (i/(-8))/((-2)/(-8)). Let a(s) = -s**2 - 6*s + 2. What is the remainder when 10 is divided by a(d)?
3
Calculate the remainder when 359 is divided by ((-32)/8 + 49)/1.
44
Let t be (0/(-1))/((-9)/(-3)). Let u = 8 + t. Suppose p = 13 + 1. What is the remainder when p is divided by u?
6
Let h(x) = -5*x**3 - x**2 - 3*x - 3. Let t be h(-2). Let c be 6/39 - (-12825)/t. Suppose -6*p + 193 = -c. Calculate the remainder when p is divided by 30.
27
Let v = 56 + -37. Let y = -131 - -157. Calculate the remainder when y is divided by (1 - v)/(-5 - -3).
8
Let i = 78 + -55. Calculate the remainder when 42 is divided by i.
19
Suppose 104 = 8*i - 0*i. Suppose -i*s + 88 = -523. Calculate the remainder when s is divided by 12.
11
What is the remainder when 252 is divided by (-565)/(-115) - (-46)/529?
2
Let d(x) = -69*x**2 - 2*x - 3. Let h(s) = 2*s**2 - s - 1. Let k(m) = -d(m) + 3*h(m). Calculate the remainder when k(-1) is divided by 39.
37
Let f be 3 - 3/6*-2. What is the remainder when ((-30)/f - 1)/(8/(-16)) is divided by 5?
2
Let d(u) = 25*u**2 - 2*u + 1. Suppose -5*i + 28 = 3. Suppose c + 51 = 5*r + 3*c, -i*r = 4*c - 57. What is the remainder when d(1) is divided by r?
6
Let z = -47 - -73. Let q = z - 6. What is the remainder when 78 is divided by q?
18
Let r(v) = -9*v**3 + 4*v**2 + 6*v + 6. Calculate the remainder when r(-2) is divided by 12.
10
Let r(m) = -3*m + 16*m + 8 - 65 - 25*m. Calculate the remainder when 74 is divided by r(-6).
14
Calculate the remainder when ((-2)/6)/(((-16)/(-606))/(-8)) is divided by 11.
2
Let z be 0 + 1 + -1 - 238/2. Let s = z + 208. What is the remainder when s is divided by 18?
17
Suppose 0 = -2*j - j - 15. What is the remainder when 38 is divided by (-41)/(-3) - j/15?
10
Let l = -76 - -154. Let u = -72 + l. Calculate the remainder when 16 is divided by u.
4
Let z(a) = -4*a + 22. What is the remainder when z(-9) is divided by 20?
18
Suppose -3*n = -4 - 50. Suppose -4*b = -3*v - n, -4*v = 4*b - 0*b - 4. Calculate the remainder when b is divided by 3.
0
Let k(y) = -6*y + 13. Let v(z) = 5*z - 14. Let u(l) = -4*k(l) - 3*v(l). Calculate the remainder when u(6) is divided by 17.
10
Let j(r) be the third derivative of r**6/120 - 3*r**5/20 + 11*r**4/24 - 2*r**3/3 + r**2. Calculate the remainder when 77 is divided by j(8).
17
Suppose 3*j + 7 - 52 = 0. What is the remainder when j is divided by (-6)/(-18)*-6 - (-1 + -9)?
7
Let o be ((-5)/(-10))/(2/4). Let q be 4 + -3 + (3 - o). Suppose -11 - 5 = -4*b, -q*b - 16 = -4*f. What is the remainder when f is divided by 4?
3
Suppose -27 - 148 = -7*g. Let t = 26 - g. Let j = 18 - 14. Calculate the remainder when j is divided by t.
0
Let v = 21 + -14. Suppose -4*y + 13 = -v. Calculate the remainder when y is divided by 4.
1
Let h be ((-10)/65)/(-1) + 111/39. Suppose 2*b - 17 - h = 0. Let z = 10 - 7. What is the remainder when b is divided by z?
1
Suppose 0 = -12*o + 20*o - 176. Suppose -4 + 2 = q. What is the remainder when o is divided by (-481)/(-39) + q/6?
10
Let a be 105/(-14)*4/(-10). Suppose 0 = 4*t + a*d + d - 552, 4*d = -5*t + 687. Calculate the remainder when t is divided by 34.
33
Let t = -1511 - -1732. Calculate the remainder when t is divided by 90.
41
Suppose -943 = 2*c - 1009. What is the remainder when 62 is divided by c?
29
Let l(b) = b**3 - 6*b**2 - 10*b - 8. Let c = 5 - 3. Suppose -4*t = c*z - 24, 34 = 3*z + t + 4*t. What is the remainder when l(z) is divided by 14?
12
Let n = -246 + 439. What is the remainder when n is divided by 13?
11
Let p = -138 - -162. What is the remainder when 130 is divided by p?
10
Let i = 17 + -10. What is the remainder when (184/(-161))/((-4)/42) is divided by i?
5
Suppose 5*z - s - 251 - 134 = 0, 172 = 2*z - 4*s. What is the remainder when 83 is divided by z?
7
Suppose 0 = -27*f - 25*f + 1872. What is the remainder when 206 is divided by f?
26
Let z = 17 - -7. Let h = -7 + z. Calculate the remainder when h is divided by 3.
2
Let v = -5 - 21. Let b = v + 51. Calculate the remainder when (-2)/3 + (-438)/(-9) is divided by b.
23
Let p be 1/(-2 + 5/2). Suppose -p*a - x + 155 - 33 = 0, 70 = a + 5*x. Calculate the remainder when a is divided by 16.
12
Suppose 23*k - 5*k = 504. What is the remainder when 2042 is divided by k?
26
Suppose -25*m = -1096 + 396. What is the remainder when 127 is divided by m?
15
Let y = 24 + -14. Suppose -44 = -5*c + 146. Calculate the remainder when c is divided by y.
8
Suppose 5*b = -q + 474, -2*b + 480 = q + b. Calculate the remainder when q is divided by 41.
38
Let h(s) = -16*s + 252. What is the remainder when h(15) is divided by 9?
3
Suppose 3*d + 27 - 138 = 0. Let m = d + -34. Suppose 0 = -5*v + m*f - 7 + 89, 0 = -3*v + 5*f + 62. What is the remainder when v is divided by 5?
4
Let c(a) = -2*a**2 - 11*a + 6. Let z be c(-6). Suppose z = -3*n + 20 + 10. Let g = -31 - -69. What is the remainder when g is divided by n?
8
Suppose 2*g - 120 = -g + 3*d, -3*g - 3*d = -102. Calculate the remainder when 269 is divided by g.
10
Let k(p) = 8*p - 4. Let l be k(4). Calculate the remainder when 10 is divided by l/(-21)*1*-3.
2
Let v be (-33)/15 + 2 + 124/(-5). Calculate the remainder when 54/(-1)*(0 + -1) is divided by (-405)/v - (-2)/(-10) - 2.
12
Let u = -8 - -11. Suppose a = 2*r - r + u, -2*a + 4 = -r. What is the remainder when 18 is divided by -3*r/12*22?
7
Calculate the remainder when (-9)/72 + 1899/24 is divided by 27.
25
Calculate the remainder when -6 + (80/(5 + 3) - -25) is divided by 6/(-4)*(2 + -4).
2
Suppose 0 = 7*j - 3*t - 185, -5*j = 4*t + 62 - 188. What is the remainder when 1324 is divided by j?
24
Let p(u) = -u + 16. Let s be 7/3 - (-2)/(-6). Suppose -4*n + 0*n = 2*b - 86, 0 = 3*n + s*b - 64. What is the remainder when n is divided by p(8)?
6
Suppose -18 = 2*f - 5*f. Suppose -75 = f*p + 33. Let y = p + 27. Calculate the remainder when 33 is divided by y.
6
Let m(l) = 39*l**3 + 4*l**2 - 2*l - 5. Calculate the remainder when m(2) is divided by 47.
37
Let b = 56 + -34. Let z = b + 3. What is the remainder when 72 is divided by z?
22
Suppose -12*x - 50*x = -4154. What is the remainder when 468 is divided by x?
66
Suppose 68*x - 180 = 62*x. What is the remainder when 62 is divided by x?
2
Let f be (0 + (0 - -1))*6. Let l(i) = -i**3 - 6*i**2 + 7*i - 7. Let n be l(-7). What is the remainder when 11 is divided by (n + 8)*f/2?
2
Suppose 5*q = i + 109, 0 = 3*q - i - 77 + 10. Suppose -2*p + 65 = 3*p - 3*b, b = -5*p + 65. Calculate the remainder when q is divided by p.
8
Let v = -48 + 52. Let n(m) = 2*m**2 - 4*m + 9. Calculate the remainder when 72 is divided by n(v).
22
Let k(z) = 105*z**2 + 2*z - 2. Suppose 2*d - 270 = -8*d. Calculate the remainder when k(1) is divided by d.
24
Suppose -8*t = 14 - 198. Calculate the remainder when 183 is divided by t.
22
Let x = 162 - 154. Calculate the remainder when x is divided by 7.
1
Let w(g) = -g**2 - 20*g + 16. Let y be w(-18). Suppose y + 47 = v. What is the remainder when v is divided by 20?
19
Suppose x - 48 = 5*n, 0 = 4*x + 5*n - 63 - 29. Suppose 0 = -5*a + 2*h + 6, -4*a - 2 = -3*h - 4. What is the remainder when x is divided by a/(-11) - 448/