30. What is the remainder when 87 is divided by l?
15
Let h = -184 - -280. Let u = 273 - 269. Suppose -4*g + u*x + 12 = -h, 54 = 2*g + x. What is the remainder when g is divided by 15?
12
Let p(o) = 2*o**3 - 5*o**2 - o + 4. Let x(i) = -4*i**2. Let h be x(-1). Let l(a) = a**3 + 5*a**2 - 4*a - 4. What is the remainder when l(h) is divided by p(3)?
8
Let l(a) = -a**3 + 7*a**2 - 3*a + 6. Let w be l(6). Suppose 0 = 6*s - 2*s + 52. Let g = w + s. Calculate the remainder when 19 is divided by g.
8
Let w(x) = x**3 - 4*x**2 + 5*x - 2. Let y be w(3). Calculate the remainder when (-5)/(-2)*(y - 2) is divided by ((-6)/(-2))/(-6)*-6.
2
Let p(j) = -j + 8. Suppose 10*y - 5*y = g + 13, 4*y - 4*g - 4 = 0. Calculate the remainder when p(-7) is divided by y.
0
Let h(c) be the first derivative of 3*c**2/2 + 2*c - 1. Let x(m) = -m**2 + 21*m - 77. Let j be x(16). Calculate the remainder when h(j) is divided by 3.
2
Let r = 598 + -360. What is the remainder when r is divided by 21?
7
Let w = -22 - -19. What is the remainder when 90 is divided by 2 - 64/w - (-4)/(-12)?
21
Let d = 1 - -16. Let t(a) = -a**3 - 2*a**2 + 6*a. What is the remainder when t(-5) is divided by d?
11
Suppose v - 49 = -3*z, -172 = -4*v - 4*z - 0*z. Suppose 3*h - 64 = 4*t, h - 9*t + 10*t = 12. What is the remainder when v is divided by h?
8
Suppose h = s - 3, 3*h + 2*s + 13 = 7*s. Let z = 42 + -33. Let m = z - h. Calculate the remainder when 19 is divided by m.
9
Let v(t) be the first derivative of -15*t**2/2 - t + 1. Suppose 3*n + 3 + 3 = 0, q - 3*n = 3. What is the remainder when v(q) is divided by 16?
12
Let j(q) = 5*q + 2*q**2 - 8*q + q + 2 + 4*q. Calculate the remainder when 68 is divided by j(-3).
12
Let t(j) = -9*j**3 - j**2 - j. Suppose 3 = -5*l - 2. Suppose -2*p = -5*q - 6*p + 145, 0 = -3*q - 8*p + 115. Calculate the remainder when q is divided by t(l).
7
Let u(s) = -3*s + 135. Calculate the remainder when 107 is divided by u(29).
11
Suppose 5*a = -5*t + 22 - 667, 9 = -3*a. Let m = -86 - t. Calculate the remainder when m is divided by 21.
19
Let o(g) = -g**2 - 28*g - 123. Let f be 6/(-2)*(-4)/(-3). Calculate the remainder when o(-19) is divided by ((-18)/f - -2)*2.
9
Let m be 2 - 5/(25/(-5)). Let d(v) = 4*v**2 - 2*v - 6. What is the remainder when d(m) is divided by 11?
2
Suppose 3*p + g + 30 = -g, -4*g = p + 10. Let k = p - -22. Let m(w) = -w**3 - 2*w**2 + 5*w - 3. What is the remainder when m(-5) is divided by k?
11
Suppose -18*w - 345 = -885. What is the remainder when 507 is divided by w?
27
Calculate the remainder when 209 is divided by (-740)/(-14) + (-14)/(-98) - 4.
13
Let g(x) = -2*x**3 + x**3 + x - 3*x**2 + 7*x**2 + 5 + 2*x**2. What is the remainder when 18 is divided by g(6)?
7
Let f = -142 + 181. Suppose 0 = -3*o + 12, -2*o - 3*o = -3*u + 28. Suppose 4 = 2*s - u. Calculate the remainder when f is divided by s.
9
Let w be 2/((-3)/(12/(-8))). Suppose -q + 8 = -3*t, -2*t = -2*q - 0*q + 20. Calculate the remainder when 24 + (-2 - 1 - w) is divided by q.
9
Suppose -805 = -5*q - 5*p + 580, 3*q - 816 = 2*p. What is the remainder when q is divided by 70?
64
Let m(w) = -12*w + 6. Calculate the remainder when (-12)/8*2 - -18 is divided by m(0).
3
Let y(x) = -2*x**3 + 4*x + 1. What is the remainder when (-4)/10 + (-122)/(-5) is divided by y(-2)?
6
Let x be (-4)/18 + 40/18. Let l(a) = 11*a**3 - a**2 + 2*a - 1. Let f(p) = -p + 134. What is the remainder when l(x) is divided by f(116)?
15
Let h(o) = -o**3 + 5*o**2 - 4*o + 4. Let g(y) = 3*y + 26. Let m(b) = 4*b + 39. Let l(t) = -7*g(t) + 5*m(t). What is the remainder when l(7) is divided by h(4)?
2
Calculate the remainder when -1*(-227 + (-13 - 1)/7) is divided by 46.
45
Suppose 4*q = i + 4645, 4*i + 5006 = 4*q + 358. Calculate the remainder when q is divided by 14.
13
Let s = 50 + -14. Suppose -j - 5*j + s = 0. What is the remainder when 10 is divided by j?
4
Let a(y) = y**2 - 66*y + 221. What is the remainder when a(66) is divided by 50?
21
Let m = 2069 + -1888. What is the remainder when m is divided by 14?
13
Suppose 0 = 27*n - 20*n - 35. Calculate the remainder when n is divided by 4.
1
What is the remainder when 493 is divided by (4/3)/4 + 1568/84?
18
Calculate the remainder when (-8)/6*(-12 + 81/9) is divided by 5/2*32/20.
0
Let l = -41 + 22. Calculate the remainder when 15 is divided by ((-6)/4)/(l/114).
6
Suppose -l = 3*l + 4*k - 188, 2*l - 115 = 5*k. Suppose -q - 3 = -5*y, 2*q + 0*q + 4*y = l. Calculate the remainder when 66 is divided by q.
15
Suppose 2*k + z = 84, 10*k - 11*k + 35 = -3*z. Calculate the remainder when k is divided by 11.
8
Let c(j) = -35 + 27 - 3*j - 3*j. Let s(i) = 5*i + 7. Let z(r) = 4*c(r) + 5*s(r). What is the remainder when 23 is divided by z(5)?
7
Suppose 0 = -10*i + 2215 - 1995. Let y = -22 - -61. What is the remainder when y is divided by i?
17
Suppose 0 = -2*d + d + 9. Let m(j) = -j**2 + 17*j + 31. What is the remainder when m(d) is divided by 18?
13
Let a(j) = -j**3 + 6*j**2 + 5*j - 10. Let o be a(6). Suppose -o*i + 68 = -16*i. Calculate the remainder when 33 is divided by i.
16
Suppose -13*y = -18*y + 180. Calculate the remainder when y is divided by 7.
1
Suppose -4*g - g = -60. Let u = -1937 + 1983. What is the remainder when u is divided by g?
10
Let z = -49 + 67. Let r = 25 + z. Calculate the remainder when 127 is divided by r.
41
What is the remainder when (-17102)/(-204) - (-1)/6 is divided by 6?
0
Let o be 2/(-3 + 55/15). Suppose 0 = -o*m - 0*m + 6. Suppose 2*h - 3*i = 38, 0*h - 36 = -m*h + 2*i. Calculate the remainder when 77 is divided by h.
13
Suppose -3*v - 6 - 9 = 0. Suppose 5*r = -2*i - 3*i + 160, 5*r = -3*i + 100. Let a = i + v. Calculate the remainder when a is divided by 13.
12
Suppose -56 = u - 11. Let y be (-35)/u + (-4)/(-18). Suppose -45 = -4*c - y. Calculate the remainder when 21 is divided by c.
10
Calculate the remainder when 246 is divided by 10 + (-4 - (-12 + 2)).
6
Let q(c) = -c - 3. Let p = 15 + -21. Let l(y) = -y**3 - 6*y**2 + y + 8. Calculate the remainder when q(-10) is divided by l(p).
1
Suppose 22*f = 23*f + 5, 5*f - 1465 = -5*p. Calculate the remainder when p is divided by 20.
18
Let m be 40/(15/3) + -2. Suppose -m*i + 2*i + 36 = 0. Calculate the remainder when i is divided by 4.
1
Let k(r) = -10*r - 3. Suppose -u = 1 + 3. Suppose -4*a + 64 = 2*n + 14, -3*a + 2*n = -20. What is the remainder when k(u) is divided by a?
7
Let a(c) = -c**2 + 21*c - 80. What is the remainder when 35 is divided by a(13)?
11
Let q = 315 + -298. What is the remainder when 49 is divided by q?
15
Suppose -301 = -4*t + 8*h - 3*h, 0 = -3*t + 3*h + 228. Calculate the remainder when t is divided by 33.
13
What is the remainder when 173 is divided by ((-70)/(-6))/(-2 - 70/(-30))?
33
Let s(l) = -l**2 + 27*l - 92. Calculate the remainder when 899 is divided by s(5).
17
Suppose 9*t = 5*t + 220. Let r = 35 - 12. Let l = -9 + r. Calculate the remainder when t is divided by l.
13
Suppose -5*f + 4*w + 260 = 0, 5*f - 326 = -4*w - 66. What is the remainder when f is divided by 22?
8
Let b = -105 - -183. Suppose 0 = -4*t + 3*g - 121, 2*g - 7*g + 15 = 0. Let z = 48 + t. Calculate the remainder when b is divided by z.
18
Suppose 6*a = 2*a + 4*l, -3*a = 3*l - 6. Let c(b) = -3*b + 40. Let d be c(16). What is the remainder when (0 - 3)/(2/d*6) is divided by a?
0
Let z = 50 + -54. Calculate the remainder when z/18 - ((-552)/27)/2 is divided by 3.
1
Let t(n) be the third derivative of n**6/120 + n**5/12 + 7*n**3/6 + 2*n**2. Calculate the remainder when ((-27)/2)/(11/(-22)) is divided by t(-5).
6
Suppose -287*s = -300*s + 689. Calculate the remainder when s is divided by (-23)/(-2) - 4/8.
9
Let q = -30 - -41. Calculate the remainder when q/(-22) - (-118)/4 is divided by 16.
13
What is the remainder when 1978 is divided by (-7050)/(-63) + 4/42 - 2?
108
Let u be 4 + 1 - 924/(-14). Suppose 4*c - 2*z - 29 - 29 = 0, -4*z = 3*c - u. What is the remainder when 63 is divided by c?
12
Suppose 0*d + 30 = -3*w - 3*d, -2*d = -2*w - 36. Let f = 2 - w. Suppose 2 - f = -2*s. What is the remainder when s is divided by 3?
1
Let n(k) = k**3 - 10*k**2 + 23*k + 6. What is the remainder when n(8) is divided by 28?
6
Let k(o) = -13 + 8*o - 7*o + 5 + 5*o. What is the remainder when k(8) is divided by 14?
12
Let k(d) = -3*d - 6. Let t(x) 