18. Let s = k + 22. Suppose 43 = 3*a + 4*u, 2*a - 55 = -2*a - 3*u. What is the remainder when a is divided by s?
5
Calculate the remainder when 32 - (12 - 1/((-3)/(-21))) is divided by 3.
0
Let l be ((-297)/(-55))/(3/10). Let k = l - 10. Calculate the remainder when 31 is divided by k.
7
Let k(o) = 6*o**2 - 28*o - 101. What is the remainder when 145 is divided by k(8)?
27
Let j(c) = -6*c + 7. Let m be j(0). Let a(d) be the second derivative of d**4/12 + d**3/2 - 5*d**2/2 + 2*d. What is the remainder when a(m) is divided by 22?
21
Let s be 2/(-2) + (-30)/(-5). Suppose -3*x = 4*r + 41, s*x - 3*r + 88 = 10. Let b = 46 - x. Calculate the remainder when b is divided by 21.
19
Let l(b) be the second derivative of -b**4/12 + 5*b**3/2 - 6*b**2 + 11*b. Calculate the remainder when 26 is divided by l(13).
12
Suppose -7*v + 5*l - 425 = -5*v, -4*l = 12. Let o(y) = -46*y - 7. Let r be o(-7). Let s = v + r. Calculate the remainder when s is divided by 24.
23
Let t(s) = s**2 - 45*s - 141. Let b(a) = a**2 + 2*a - 4. Calculate the remainder when t(49) is divided by b(5).
24
Let m = 123 + -112. What is the remainder when 35 is divided by m?
2
Let w(q) = -q**2 - 8*q - 4. What is the remainder when (14 - -27)*(-1 + 2) is divided by w(-5)?
8
Suppose 3*m + 2*h - 154 = 382, 4*m - h - 733 = 0. What is the remainder when m is divided by 35?
7
Let y(f) = 44*f**2 + f + 3. What is the remainder when 274 is divided by y(-1)?
44
Suppose 0 = -6*f - f + 196. Calculate the remainder when 98 is divided by f.
14
Calculate the remainder when 98 is divided by (940/32)/1 - 3/8.
11
Suppose -27*i = -71*i + 4488. What is the remainder when i is divided by 35?
32
Suppose -5*q + 330 = -u, -124*q + 120*q = -4*u - 264. Calculate the remainder when q is divided by 17.
15
Suppose 0 = 177*k - 210*k + 17721. Calculate the remainder when k is divided by 20.
17
Suppose 0 = 3*u - 7 + 16. Calculate the remainder when -3*(-3 + 139/u) is divided by (-117)/(-4) + (-78)/(-104).
28
Let v(c) = 10*c**3 - 2*c**2 - c + 2. Let s = 55 - 32. Calculate the remainder when s is divided by v(1).
5
Let j(f) = 9*f - 131. Calculate the remainder when 437 is divided by j(19).
37
Let f = 120 + -38. Let m = -79 + f. What is the remainder when 12 is divided by m?
0
Suppose 41*x - 9571 = 105. Calculate the remainder when x is divided by 30.
26
Let k(r) = 4*r + 8. Let z(s) = 1. Let c(x) = k(x) - 2*z(x). Let i be c(6). What is the remainder when ((-36)/i)/((-2)/5) is divided by 3?
0
Suppose c = -1 - 2. Let k(o) = -o. Let z be k(c). Suppose g = -z*l - 0*g + 91, 0 = 2*l - 2*g - 66. What is the remainder when l is divided by 8?
7
Let f = 9 - -17. Let n(d) = d**3 + 23*d**2 - 6. Let s be n(-23). Calculate the remainder when f is divided by 4 - (s + -3)/3.
5
Let i = -41 - 20. Let q = -40 - i. What is the remainder when q is divided by 8?
5
Let h = 115 - 7. What is the remainder when h is divided by 28?
24
Suppose -3*f - 2*d - 6 = 1, 2*f = 5*d + 27. Suppose 14*r + 40 = 34*r. What is the remainder when r is divided by f?
0
Suppose 3*c + 0*c + 1 = 4*v, -v + 10 = -4*c. Let w be ((-3)/v)/((-3)/4). Calculate the remainder when 11 is divided by -4 - (2 - (w - -11)).
2
Suppose -15 = 3*y + 15. Let g = -7 - y. Suppose -g = -3*o + 69. Calculate the remainder when o is divided by 9.
6
Suppose -6*p = 9*p + 330. Suppose -4*x - 39 = -147. Let r = p + x. What is the remainder when r is divided by 3?
2
Let g = 24 - 53. Let d = g + 38. What is the remainder when d is divided by 3?
0
Let g be 6/(4/(-8) + 2) + -18. Let q = g - -29. What is the remainder when 40 is divided by q?
10
Let h(x) = 18*x**2 + x + 2. Suppose 105 = 5*k - 0*k. Let l = 5 + k. What is the remainder when h(2) is divided by l?
24
What is the remainder when 627*1*(-3)/(-9) is divided by ((1 + 2)/6)/((-19)/(-2014))?
50
Let o = 1085 + -422. What is the remainder when o is divided by 95?
93
Let j(s) = -93*s + 770. Calculate the remainder when 712 is divided by j(7).
117
Suppose -2*c = -6*c + 3*l + 242, -4*l - 244 = -4*c. What is the remainder when c is divided by 11?
4
Suppose 0 = -3*y + 5*i + 579, 2*y + 3*i = 4*i + 393. What is the remainder when y is divided by 8?
6
Let n(c) = c**2 - 20*c + 8. Let o be n(22). Suppose 0 = -3*k + 7*k - o. Calculate the remainder when 49 is divided by k.
10
Suppose 3*w - a - 734 = 0, -5*w + 5*a - a + 1228 = 0. Calculate the remainder when w is divided by 41.
39
Let n = -30 - -32. What is the remainder when 19 is divided by (-7)/((-21)/2)*15/n?
4
Let v(u) = 4*u**3 + 38*u**2 + 8*u - 10. Let g(f) = 3*f**3 + 38*f**2 + 7*f - 11. Let n(o) = 6*g(o) - 5*v(o). What is the remainder when 43 is divided by n(19)?
21
Let t = -367 + 378. What is the remainder when t is divided by 3?
2
Calculate the remainder when ((-1299)/(-6))/(((-65)/10)/(-13)) is divided by 7.
6
Suppose a = 4 - 11. What is the remainder when (-51)/(-4) - a/28 is divided by (-2)/7 + 74/14?
3
Let t(y) = y**2 - 9*y - 83. Calculate the remainder when 152 is divided by t(-9).
73
Let h = 0 + 0. Let k be 201/134*(0 + 2). Suppose k*a - 12 - 15 = h. What is the remainder when 16 is divided by a?
7
Suppose -3*l + 5*w + 162 = -61, 0 = 4*l - 4*w - 308. Let f = l + -48. Calculate the remainder when 131 is divided by f.
32
Let k = 22 - 22. Suppose -2*h + 4*l = 2 - 6, h + l - 11 = k. Let c = 18 - h. What is the remainder when 39 is divided by c?
9
Suppose -3*a - 57 = -3*m, -3*a - 77 = -5*m - 7*a. What is the remainder when 276 is divided by m?
4
Suppose -5*p - 754 = -3*h + 6*h, 5*p = 5. What is the remainder when 68 is divided by (h/(-22))/(1/2)?
22
Let d(r) = r**3 - 2*r**2 + 2*r + 3. Let i be d(-2). Let b = 20 + i. Let s(h) = h**2 - 8*h + 10. Calculate the remainder when s(7) is divided by b.
0
Calculate the remainder when (188/(-10))/((-18)/45) is divided by 17.
13
What is the remainder when 107 is divided by 152/(-10)*((-60)/(-24) - 5)?
31
Suppose -5*k + 5*i = 0, 4*i - 5 - 11 = 0. Suppose 8*t = -k*t + 744. Calculate the remainder when t is divided by 8.
6
Suppose 301*x = 326*x - 450. Let k(g) = -g**3 + 8*g**2 + g - 4. Calculate the remainder when k(7) is divided by x.
16
Let s = -27 + 96. What is the remainder when s is divided by 27?
15
Suppose -s = 3, 3*h - 3*s = 41 + 61. Calculate the remainder when h is divided by 1/(110/99 - 1).
4
Suppose 5*w + 7 = -2*q, 7*q - 4*q = 3*w + 21. Suppose -5*x = -x. Suppose -3*z + 7*z - 68 = x. What is the remainder when z is divided by q?
1
Suppose 0 = -7*g + 6*g + 31. Let a = 43 - g. Calculate the remainder when 32 is divided by a.
8
Let q = -12 - -1. Let t = q - -13. Let a = 13 - 11. Calculate the remainder when t is divided by a.
0
Suppose 0 = o - 4*a - 37, -12 = -o + 2*a - 3*a. What is the remainder when (-2)/(-9) - 896/(-18) is divided by o?
16
Let w(t) = -14*t + 386. What is the remainder when w(10) is divided by 19?
18
Let u be 38/10 + 2/10. Let k(v) = -9*v - 14. What is the remainder when k(-12) is divided by -48*((-6)/u)/3?
22
Suppose -15 = 5*x, 370 = a - 3*x - x. What is the remainder when a is divided by 40?
38
Suppose 65*g = 1841 - 541. What is the remainder when 78 is divided by g?
18
Let p(n) = -4*n**2 - 9*n + 41. Let s(w) = 9*w**2 + 18*w - 82. Let v(z) = 7*p(z) + 3*s(z). What is the remainder when v(-12) is divided by (-4 - -1)/(6/(-4))?
1
Let c(k) = 4*k + 64. Let t be c(-14). Let q(o) = -9*o + 8. Let w(f) = -17*f + 16. Let n(p) = 11*q(p) - 6*w(p). What is the remainder when 45 is divided by n(t)?
13
Let k(i) = -i - 2. Let p be k(-4). Suppose -2*s - 12 = -p*a, 0 = a - s - 4*s + 2. Calculate the remainder when 45 is divided by a.
5
Suppose 9*t - 10*t + 2 = 0. Suppose 316 = 4*x - 0*q + 4*q, -4*x + 331 = q. Suppose t*w - x = -5*w. Calculate the remainder when 34 is divided by w.
10
What is the remainder when 82 is divided by (42/(-8))/((-6)/24)?
19
Let z = -18 + 14. Calculate the remainder when z/(-22) + (-17528)/(-154) is divided by 29.
27
Let f = 27 + -40. Let v = f + 14. Suppose 0 = 3*d + i - 56, v = i + 5. What is the remainder when d is divided by 7?
6
Suppose 0 = -2*r + 6, 0 = 3*q + 5*r - 285 + 60. Let v = q + -62. Calculate the remainder when 22 is divided by v.
6
Let w = 183 - 217. Suppose q + 2*m + 109 = 0, -94 = q - 0*m - m. Let l = w - q. What is the remainder when l is divided by 17?
14
Suppose 15*k - 3*k - 660 = 0. What is the remainder when