et s be ((-28)/16)/(1/(-4)). Let c = s - 13. Calculate the remainder when (-16)/c*357/14 is divided by 23.
22
Let t(b) = 34*b**2 - 14*b + 20. What is the remainder when t(2) is divided by 68?
60
Let z = 462 - 413. Calculate the remainder when 152 is divided by z.
5
Let d be -8 - 74 - (1 - -1). What is the remainder when 10 is divided by (4/6)/((-8)/d)?
3
Let c = 37 - -44. Suppose -4*m + 125 = 2*i - c, -i - 4*m = -103. What is the remainder when i is divided by 22?
15
Suppose -2 = 2*z + 5*g + 19, 3*z = 3*g + 21. Suppose -9 = -z*q + 1. Calculate the remainder when 6 is divided by q.
1
Suppose 7*p = 5*p + 50. What is the remainder when (21/(-14))/((-3)/174) is divided by p?
12
Suppose -b + 2*y - 5 - 2 = 0, 37 = 4*b + 5*y. What is the remainder when 56 is divided by b - -24*3*(-8)/(-36)?
18
Suppose -p + h + 25 = 0, 3*p + 4*h - 108 = -p. What is the remainder when p is divided by (-14)/(-7)*7/2?
5
What is the remainder when -1 + -15*(1 + 66/(-9)) is divided by 27?
13
Let b be -1 + -1 + 5 + -3. Suppose 2*x + 5 = 5*t, b*t - 34 = -5*x - 3*t. Let l(o) = o + 10. What is the remainder when l(x) is divided by 9?
6
Suppose 3*q = 7*q - 40. Calculate the remainder when (-91 - -23)/(-4 + 3) is divided by q.
8
Suppose 4*y - 410 = -5*v, 5*v = 4*y + 9*v - 412. Calculate the remainder when y is divided by 26.
1
Suppose -20 = -7*h - 6. Suppose -2*b + 10 = 0, -3*w - b + 33 = h*b. Calculate the remainder when 22 is divided by w.
4
Let v be -3 + (12/3 - -8). Let l be (4 + (-48)/v)*3. Calculate the remainder when 313/5 + l/(-10) is divided by 22.
19
Let i(w) = -8*w + 6. Suppose 11*p - 78 - 54 = 0. Calculate the remainder when i(-5) is divided by (-4)/p*(7 - 4)*-24.
22
Let p(h) = h + 80. Calculate the remainder when p(16) is divided by 25.
21
Let r(h) = 9*h - 7. Let u be r(3). Suppose -3*w = w - u. Suppose -3*j - q = -76, 3*j + 5*q - 63 = w. What is the remainder when j is divided by 9?
8
Let s = 8 - -13. Suppose 6*r + s = 9*r + c, -4*c = 0. What is the remainder when (-1 - -67)*(-1)/(-2) is divided by r?
5
Suppose 2*g = 4*g - 30. Let d(f) = -f**2 + 3*f + 9. Let h be d(4). Suppose -h*n = 0, -4*n + 186 = 3*l + 12. What is the remainder when l is divided by g?
13
Let t(b) be the second derivative of -23*b**3/3 + b**2 - 4*b. Let k be t(1). Let q = -17 - k. What is the remainder when q is divided by 14?
13
Let k(t) = 362*t**2 - 52*t - 2. What is the remainder when k(-1) is divided by 40?
12
Suppose 0 = -5*x + 36 + 69. What is the remainder when x is divided by 8?
5
Let p(a) = -5 + 0 + 3 + 3 - 15*a. Let j = 112 - 51. What is the remainder when j is divided by p(-1)?
13
Suppose 216 = -27*b + 45*b. What is the remainder when 20 is divided by b?
8
Suppose 83 = -2*k + 93. Let p(x) = x**3 - 7*x**2 + 2*x**2 + x + 2*x**2 - 3. Calculate the remainder when p(k) is divided by 18.
16
Let x(i) = i**3 - 12*i**2 + i + 11. Calculate the remainder when 37 is divided by x(12).
14
Let g(w) = 3*w**3 + 67*w**2 + 81*w - 54. Calculate the remainder when (-526)/(-18) + (-4)/18 is divided by g(-21).
2
Let x(r) = r**3 - 27*r**2 + 49*r + 34. Suppose -13 + 4 = -n + 5*y, 0 = -n + y + 29. Calculate the remainder when n is divided by x(25).
7
Let q(g) = g**2 - 7. Let s be ((-128)/24)/((-4)/6). Calculate the remainder when q(s) is divided by 6/(-4)*20/(-15) - -13.
12
Let v = -151 - -252. Let y = -71 + v. Calculate the remainder when y is divided by 8.
6
Let v(c) = -c**3 - 4*c**2 + c - 3. Let z = -52 - -33. Let m = z - -14. What is the remainder when 66 is divided by v(m)?
15
Suppose 4*o + 5*c = -100, -5*c = o + 8 + 2. Let n = o + 34. What is the remainder when 12 is divided by n?
0
Let k(i) = 2*i**2 + 6*i - 5. Suppose 3*x + 0 = 9. What is the remainder when k(x) is divided by 11?
9
Let l = -247 + 288. Calculate the remainder when l is divided by 11.
8
Suppose -2*s + 18 = 4*s. Suppose 3*y + 5*w = -y + 6, -2*y = s*w - 2. What is the remainder when y is divided by 1?
0
Let l(g) = 0*g**2 + 39*g - 42*g - 5*g**2. Let u be l(-2). Let n = u - -41. Calculate the remainder when n is divided by 15.
12
Suppose 8*j = 2*x + 3*j - 248, 0 = -3*j - 12. Let c(g) = 4*g**2 - 7*g + 9. Let l be c(4). Let a = x - l. Calculate the remainder when a is divided by 14.
13
Let z(w) = -w**3 + 4*w**2 + 7*w + 6. Let s = -75 - -80. Calculate the remainder when 62 is divided by z(s).
14
Let n(v) = -7*v - 6 - v**2 + 6 - 5*v + 10. Suppose -13*u = -10*u + 33. Calculate the remainder when 81 is divided by n(u).
18
Let g(m) = -28*m + 253. What is the remainder when g(4) is divided by 13?
11
Suppose 34 = 4*s + c + 11, 0 = s + 2*c + 3. Let t(x) = x - 4. Let w be t(4). Suppose 3*j - 7 - 71 = w. What is the remainder when j is divided by s?
5
Let c(k) be the second derivative of -k**3/6 + 13*k**2/2 + 5*k. Calculate the remainder when 38 is divided by c(3).
8
Let t be ((-31)/14 - (-6)/(-21))*-2. Suppose 5*a - 279 = 2*a. Suppose t*f - 117 = a. Calculate the remainder when f is divided by 22.
20
Let a = -345 + 820. What is the remainder when a is divided by 92?
15
Let i(v) = -v**3 - 30*v**2 - 28*v + 35. What is the remainder when 14 is divided by i(-29)?
2
Let n = -64 - -70. Calculate the remainder when (-2)/(-8) + (-236)/(-16) is divided by n.
3
Let m(v) = v - 6. Let q be m(9). Suppose 5*a = 3*t - 54, 45 = q*t + 2*a - 9. Calculate the remainder when 52 is divided by t.
16
Suppose -20 = 5*q - 0*q, 4*j + 2*q + 700 = 0. Let d = -58 - j. What is the remainder when d is divided by 29?
28
Suppose n = -4*i + 3*n + 124, 0 = n. Let l = i - 29. Suppose 4*w + 5 = 3*w, k + l*w = 5. Calculate the remainder when 42 is divided by k.
12
Suppose -2*m = -37 - 19. What is the remainder when 186 is divided by m?
18
Suppose 57*y - 210 = 52*y. What is the remainder when y is divided by 23?
19
Suppose 14*g - 58 = 12. Suppose 3*c + 9 = 0, -c = 3*p - g*c - 42. What is the remainder when (-186)/(-10) - (-4)/10 is divided by p?
9
Let g(l) = -4*l - 48. Let n(o) = -o - 16. Let m(i) = 2*g(i) - 7*n(i). Let f be m(16). What is the remainder when 69/4*(f + 4) is divided by 24?
21
Calculate the remainder when 9 is divided by -2 + -4 + (-9)/(-1).
0
Let k be (-6)/(-4) - 102/(-4). Suppose -k = -5*i + 38. Suppose 0 = -4*w + 44 + 152. What is the remainder when w is divided by i?
10
Suppose -4 = -88*n + 87*n. What is the remainder when 158 is divided by n?
2
Suppose 2 = -x + 2*x, 5*k - 3*x = 239. Calculate the remainder when k is divided by 17/(((-2)/(-4) - 1)*-2).
15
Suppose -5*y + 14 + 1 = 0. Suppose y*k + j + 2*j = -18, -34 = 4*k - j. Calculate the remainder when -23*-2*(-4)/k is divided by 13.
10
Let h = 7 + -3. Suppose -93 = -2*x - s, -3*x - h*s = -s - 135. What is the remainder when x is divided by 13?
9
Let s = 1050 + -783. Calculate the remainder when s is divided by 13.
7
Let p(a) = 2*a**2 + 9*a + 8. Suppose -9*t = -8*t + 3. Let j = t + -4. Calculate the remainder when p(j) is divided by 11.
10
Suppose -5 = -5*f - 0. Let t be (f - 2)/(5/75). Calculate the remainder when 64 is divided by (-2)/10 + (-333)/t.
20
Let t(w) = 3*w**2 + 4*w - 2. Let s = 4 - 8. Calculate the remainder when t(s) is divided by 11.
8
Let j(r) = r**2 - 30*r - 77. Calculate the remainder when 789 is divided by j(33).
19
What is the remainder when 497 is divided by (-166)/(-7)*(-133)/(-38)?
82
Suppose 0 = 3*s - 2*v - 8, 0 = 3*s + 3*v - 5 - 13. Calculate the remainder when 539/s - (-2)/8 is divided by 17.
16
Let r(o) = -o**3 - 22*o**2 - 23*o - 13. Suppose -8*h - 110 - 58 = 0. What is the remainder when 111 is divided by r(h)?
24
Let j(u) = -u + 253. What is the remainder when j(11) is divided by 35?
32
Let p be (24/(-30))/((-4)/10). Suppose 0 = -p*z + 3 + 27. Calculate the remainder when 28 is divided by z.
13
Suppose -d + 3*z = -98, z - 3*z - 188 = -2*d. Suppose -d - 21 = m. Let b = -70 - m. Calculate the remainder when b is divided by 22.
21
Calculate the remainder when (-204)/(-15)*((-98)/(-7) - -6) is divided by 14.
6
Let t(v) = v**3 + 6*v**2 - 4*v + 5. Suppose -w - 4 = -6. Calculate the remainder when t(-4) is divided by (-10 - 4)/(-2)*w.
11
Suppose -12*a + 17*a - 805 = -3*i, -2*i + 644 = 4*a. What is the remainder when a is divided by 42?
35
Let i be (-12)/(-10)*(2 - 1/(-2)). Let d(o) = 11*o - 14. Calculate the remainder when d(i) is divided by 10.
9
Let h(v) = 12*v**2 - 167*v - 4. Suppose 8 = 4*x -