lculate the remainder when ((-4)/(-14))/(12/3612) is divided by 22.
20
Let g = -26 + 110. Let m = g + -44. Suppose 5*b - m = 3*b. Calculate the remainder when b is divided by 11.
9
Let g(r) = 2*r + 11. Let j be (130/6)/(3/(-9)). Let c = j - -109. What is the remainder when c is divided by g(6)?
21
Suppose 3 = -3*p, 122 = 2*z + 5*p + 25. Suppose -z - 1 = -l. Suppose 5*x = x + l. What is the remainder when 36 is divided by x?
10
Suppose -2*w + 15 = 9. Suppose 0 = w*c + 2*h - 151 - 262, -2*c - 3*h + 277 = 0. What is the remainder when c is divided by 23?
22
Let w(b) = b**3 + 7*b**2 + 5*b - 3. Let x be w(-4). Suppose x = d - 18. Suppose -5*v = -2*a - 85, -a + d = v + v. What is the remainder when 32 is divided by v?
13
Let r(f) = 2*f**3 + 11*f**2 + f + 7. Let i be r(-5). Let h = -12 + i. What is the remainder when 57 is divided by h?
12
Let a = -280 - -396. Let r = 162 - a. Suppose s - 16 = -3*n, -s + 2*n + 22 = 6. Calculate the remainder when r is divided by s.
14
Let p = 0 + 0. Suppose 672 = 33*x - 26*x. Suppose -4*z + x = -p*z. Calculate the remainder when 47 is divided by z.
23
What is the remainder when 48 - (50/5 + -5) is divided by 24?
19
Let c(v) = 15*v**3 + 4*v**2 + 3*v. Suppose 4*q + i + 11 = q, -i = 2*q + 9. Let g be c(q). Calculate the remainder when 69 is divided by 2/8 - g/8.
13
Let n be ((-48)/(-32))/((-6)/40). Calculate the remainder when (-15)/(n/2) + (-1 - -17) is divided by 8.
3
Suppose 0 = -6*n + 287 + 79. What is the remainder when n is divided by 15?
1
Let f be (-14)/3*(7 - 4). Let a(k) = k**2 + 14*k + 16. Calculate the remainder when a(f) is divided by 45/(-18)*3*2/(-3).
1
Suppose 16*t + 403 = 3*t. Let z = -38 - -26. Let m = z - t. Calculate the remainder when m is divided by 10.
9
Let p(h) = 275*h**3 - 2*h**2 + 5*h - 2. What is the remainder when p(1) is divided by 56?
52
Let i be (-2 + -2)*(-7)/2. Let q = i + 1. Let s = 114 + -57. What is the remainder when s is divided by q?
12
Let d(f) = f**3 - 52*f**2 - 56*f + 224. Calculate the remainder when 1038 is divided by d(53).
63
Let g = -299 - -336. Calculate the remainder when g is divided by 25.
12
Suppose 4 + 2 = f. Suppose -2*c - 2 = -f. Suppose 4*l - 35 = 5*z, 3*l + 2*z = c*l - 1. What is the remainder when l is divided by 4?
1
Let y = 360 + -117. Calculate the remainder when y is divided by 5.
3
Suppose l - 3*o - 30 = o, -5*l + 3*o = -150. Suppose 4*i - l - 26 = 0. Calculate the remainder when i is divided by (4 - 1) + 2 + 0.
4
Let f be (38/60 + (-2)/(-12))*-10. What is the remainder when 71 is divided by ((-78)/52)/(1/f)?
11
Let b = 166 + -102. Suppose -4*o + 90 = -3*h - b, -h = 2*o - 82. What is the remainder when 115 is divided by o?
35
Suppose -3*w = -5*o - 12, -5*w + o = -0*o - 42. Let l = -7 + w. What is the remainder when 167 is divided by (-9 - -8)/(l/(-84))?
41
Let d(s) = -10*s**2 - 2*s + 5. Let w(f) = 11*f**2 + 3*f - 5. Let y(z) = -4*d(z) - 3*w(z). What is the remainder when 35 is divided by y(2)?
14
Calculate the remainder when 31 is divided by 40/(-16)*14/(-5).
3
Suppose -7 - 173 = -3*d + 4*t, 0 = d + 3*t - 60. Suppose -g + 2*v = -v - 30, -5*g + d = 3*v. Calculate the remainder when 74 is divided by g.
14
Suppose 5*k + 2*u = -0*u + 184, -5*k - 3*u + 186 = 0. Calculate the remainder when 2697 is divided by k.
33
Suppose 2*n = 7*n - 65. Suppose a + 270 = 4*a. Suppose -4*r + a = -106. What is the remainder when r is divided by n?
10
Suppose -2*o - 3*d + 24 = o, 3 = -d. Let c(l) = 6*l**2 + 64*l + 105. Calculate the remainder when c(-10) is divided by o.
10
Suppose -41*v + 843 - 187 = 0. Calculate the remainder when 25 is divided by v.
9
Suppose -26 = -4*c - 10. Suppose -3*z = c*z - 196. Calculate the remainder when 83 is divided by z.
27
Let k = -227 + 230. Let m(f) be the third derivative of f**6/120 - f**5/60 - f**4/4 + 2*f**3/3 - f**2. Calculate the remainder when 6 is divided by m(k).
2
Let i = -19 - -48. Suppose -9 + i = 4*w + v, -w = -2*v - 5. Calculate the remainder when w is divided by 2.
1
Let v(d) = -d**3 - 26*d**2 + 25*d - 33. What is the remainder when 167 is divided by v(-27)?
20
Let v(x) = -3*x**2 + x**3 + 11*x + 11 - 25*x - 9*x**2. Let h be v(13). Calculate the remainder when (-3)/h*(-8)/(-3) is divided by 3.
1
Let q = -51 + 104. Suppose -7*w + 1288 = w. Suppose 5*k - w = -66. Calculate the remainder when q is divided by k.
15
Let r = -80 + 143. What is the remainder when r is divided by (-268)/(-20) + 2/(-5)?
11
Suppose 68 = -t + 5*t. Suppose -22*o + 77 = -11*o. Suppose 12*j - 15 = o*j. What is the remainder when t is divided by j?
2
Let l(m) be the third derivative of m**6/120 - m**5/10 + m**2. Suppose -13 = 38*z - 39*z. What is the remainder when l(7) is divided by z?
10
Let p = 20 - 14. Let m be 1 + (16/(-56) - 5/7). Suppose m = 5*k - 2*v - 104, -4*k = v + 2*v - 97. What is the remainder when k is divided by p?
4
Calculate the remainder when 35 is divided by (-8192)/(-1280) - ((-14)/(-10) + -1).
5
Let i(d) = d**3 - 15*d**2 + 16*d - 11. Suppose -5*m = -3*w - 7 - 3, 3*m - 10 = w. What is the remainder when i(14) is divided by w?
2
Let c(l) be the second derivative of l**5/20 + l**4/3 - 5*l**3/2 - 9*l**2/2 + 5*l. Calculate the remainder when c(-6) is divided by 5.
4
Let p(b) = -b**3 + 12*b**2 + 13*b + 120. Calculate the remainder when p(11) is divided by 77.
76
Let m = 22 - 16. Let r be ((-10)/15)/(m/63). Let o = r + 9. Calculate the remainder when o is divided by 2.
0
Suppose 13*p - 12*p - 44 = 0. Suppose -49*z = -p*z - 240. Calculate the remainder when z is divided by 11.
4
Suppose 5*x + j = 50, -2*j + 19 + 26 = 5*x. Let c be (-15)/(-3)*1*-1. Let u = c + x. What is the remainder when 22 is divided by u?
4
Let f = -13 + 28. Let c(i) = i**3 + 8*i**2 - 6*i + 10. Calculate the remainder when c(-8) is divided by f.
13
Let t = 162 + -78. What is the remainder when 181 is divided by t?
13
Let w(y) = 2*y**2 + 2*y - 49. Let p = -10 + 32. What is the remainder when w(7) is divided by p?
19
Suppose q + 40*q - 820 = 0. Suppose -y + 3*j + 32 = 3*y, j - 4 = 0. What is the remainder when q is divided by y?
9
Let c = -41 - -74. Calculate the remainder when c is divided by 12.
9
Suppose -i = 5, -2*o = -3*o - 5*i - 53. Let v = o + 84. Calculate the remainder when 221 is divided by v.
53
Suppose -a = -2*k - 7, 11*a + 3 = 12*a + 2*k. What is the remainder when 38 is divided by a?
3
Suppose 2*r = -2*r + 60. What is the remainder when 449 is divided by r?
14
Let y = -369 - -420. What is the remainder when 200 is divided by y?
47
Calculate the remainder when (-21)/(-49) - 95/(-7) is divided by 8.
6
Let v(y) = -y**2 + 19*y - 34. Let p(x) = -3*x**2 + 57*x - 101. Let g(o) = 4*p(o) - 11*v(o). Calculate the remainder when g(15) is divided by 16.
14
Suppose 0 = -2*s + 34*p - 29*p + 1189, 3*p = -3*s + 1773. What is the remainder when s is divided by 11?
9
What is the remainder when 5/(-3) + 37088/228 is divided by 3?
2
Suppose -20*o = 23*o - 24338. Calculate the remainder when o is divided by 71.
69
Let d(f) = 2*f**2 + 5*f - 40. What is the remainder when 9*(-4)/(-54) + 122/6 is divided by d(4)?
9
Suppose x - 3*j = 22, 2*x - 5*j - 53 = -2*x. Calculate the remainder when 2/x + 645/21 is divided by 16.
15
Suppose -17*x + 27*x = 3050. What is the remainder when x is divided by 157?
148
Calculate the remainder when (-1859)/(-65) + 1/((-5)/(-2)) is divided by (-2 + 3)/(2/10).
4
Suppose 2*c + 2*u + 190 = 0, -302 - 128 = 5*c - 4*u. Let k = c - -132. Let j(q) = -4*q - 34. What is the remainder when k is divided by j(-14)?
20
Suppose 0 = 5*k - 2*k - 840. Suppose 4*c = -2*r + k, c - 42 - 46 = 4*r. Calculate the remainder when c is divided by 25.
22
Let s = 1356 + -1343. Calculate the remainder when 191 is divided by s.
9
Let f be (-1)/2 + 30/(-20). What is the remainder when 25 is divided by (-2)/(4*1/60*f)?
10
Let q = 14 + 13. Suppose -143 = -c - 2*h, 0 = -4*h + 9 + 11. What is the remainder when c is divided by q?
25
Let l be (-27)/12 - 2/(-8). Let j be (-18)/(-9) - (2 + l). Let z(v) = 4*v + 4. Calculate the remainder when 59 is divided by z(j).
11
Let k(n) = n - 2*n + 1 - n + 2*n**2. What is the remainder when (-11)/((-198)/27)*34 is divided by k(3)?
12
Let u(p) = 14*p + 13. What is the remainder when u(3) is divided by 8?
7
Let u = 55 - 31. Suppose n + 4 = u. Calculate the re