27. Calculate the remainder when h is divided by 51.
26
Let w = 45 + -21. Let g = 51 - w. Suppose c = -3*l - 2*c + 54, -3*c = -5*l + 66. What is the remainder when g is divided by l?
12
Let o(p) = -p - 34. Let j(w) = w - 1. Let l(b) = 4*j(b) + o(b). Calculate the remainder when 17 is divided by l(14).
1
Let h(q) = q**2 + 7*q - 3. Let v be h(-8). Suppose -4*y + v*y = 4. Suppose y*j - 6*j = -12. Calculate the remainder when 21 is divided by j.
3
Let u = -351 - -513. Calculate the remainder when u is divided by 83.
79
Let q be 3*1/(-2)*-2. Suppose -72 = -3*l + 5*o, -o = -0*o + q. What is the remainder when l is divided by 4?
3
Let r = 44 - 11. Let j = -29 + 33. Suppose v + 27 = j*v. What is the remainder when r is divided by v?
6
Suppose -4*k + 8 = -2*a + 118, -5*a - 5*k = -290. What is the remainder when a is divided by 17?
6
Suppose -3*a - 3 + 5 = h, -71 = -3*h + 4*a. What is the remainder when 438 is divided by h?
13
Suppose -y + 4*d - 1 + 30 = 0, -d + 5 = 0. Calculate the remainder when y is divided by 30.
19
Suppose 3*v - 27 + 6 = 0. Let j(h) = 10*h - 10. What is the remainder when j(v) is divided by 32?
28
Let d(s) be the second derivative of -s**5/4 - s**4/6 - s**3/6 - 17*s. Calculate the remainder when d(-1) is divided by 2.
0
Let v(b) be the third derivative of b**6/120 + b**5/60 + b**4/12 - b**3/3 + 3*b**2. What is the remainder when v(3) is divided by 22?
18
Suppose -3*w - w = -a + 23, 3*a + 4*w = -11. Suppose a*m - 137 = 2*b, -m + 2*m - 48 = 3*b. What is the remainder when 178 is divided by m?
43
Let u = 832 + -782. What is the remainder when 242 is divided by u?
42
Let x = 420 - 402. Calculate the remainder when 38 is divided by x.
2
Suppose 1 = -3*l + 4. Suppose -11 = 4*y - 103. What is the remainder when y is divided by (2 - 1)/(l/6)?
5
Let c be ((-45)/(-30))/(1/98). What is the remainder when c/(-6)*-2 - (4 - 2) is divided by 16?
15
Let r(f) = 138*f**2 - 3*f + 2. Let o be r(-1). Let t = -70 + o. What is the remainder when t is divided by 20?
13
Let h(x) = -x**3 + 9*x**2 - 8*x + 3. Let g be h(8). Suppose 51 + g = 3*y. Calculate the remainder when y is divided by 12/(-30) - (-37)/5.
4
Let z(x) = -x**3 - 11*x**2 - 12*x - 11. Calculate the remainder when 16 is divided by z(-10).
7
Let j = 85 + -73. What is the remainder when 69 is divided by j?
9
Let q(j) = -j**3 - 4*j**2 - 4*j. Let f be q(-4). Let z = -25 - -14. Let a = f + z. What is the remainder when 7 is divided by a?
2
Suppose 0 = 48*v - 37*v - 682. What is the remainder when 195 is divided by v?
9
Let j = 23 - 9. Let z = 8 - 5. Let u = j - z. What is the remainder when 40 is divided by u?
7
Suppose 5*i - 3*y - 27 = -11, 10 = 3*i - 2*y. Suppose -5*t = i*n - 19, -5*n - 2 - 8 = t. Calculate the remainder when 17 is divided by t.
2
Let l = 20 - 14. Let d(n) = -n**2 - 2*n - 218. Let f be d(0). What is the remainder when l/12 + f/(-4) is divided by 14?
13
Let s(z) = z**3 - 8*z**2 + 10*z + 2. Let m(l) = -l - 3. Suppose 0 = 6*v - 8*v - 22. Calculate the remainder when s(7) is divided by m(v).
7
Let p(h) = -h**2 + 16*h + 29. Let o(c) = 5*c**2 - 63*c - 117. Let v(k) = -2*o(k) - 9*p(k). Let g = 2 - 0. What is the remainder when v(-16) is divided by g?
1
Let r be -2 + 2 + 0 + 0. Suppose r = 8*w - 3*w - 115. What is the remainder when w is divided by 4?
3
Let z be (0 + 2/(-4))*0. Suppose z = -5*p - q + 196, -5*q = 23 - 3. Let h = -24 + p. What is the remainder when 59 is divided by h?
11
Suppose 4*u - 199 = -3*m, 5*u + m - 192 = 43. Calculate the remainder when u is divided by 20.
6
What is the remainder when 3/(-3 - (7749/858)/(-3)) is divided by 6?
4
Let l = 6 - 0. Suppose -11*h = -l*h. Suppose 7*p - 5*p - 48 = h. What is the remainder when 94 is divided by p?
22
Let z = 183 - 153. Suppose 0*g + z = 6*g. What is the remainder when 8 is divided by g?
3
Suppose -4*r = -6 - 2. Suppose 0 = -3*l + 4*w - 11 + 67, -4*w = 2*l - 4. Calculate the remainder when l is divided by r.
0
Let f(u) = u + 7. Let h be f(-12). Let s = 79 - 43. Calculate the remainder when s is divided by 17 - (-1 + 4 + h).
17
Let s(x) = x + 10. Let f be (-7)/(14/12)*1. Let u be s(f). Suppose -7*k + 30 = -u*k. What is the remainder when 39 is divided by k?
9
Suppose 4*w + 75 = 3*a, 0 = -5*a + 4*a - 3*w + 38. Calculate the remainder when 144 is divided by a.
28
Suppose -5*u = -5*n + 60, n - 4*u - 14 + 2 = 0. Let o(k) = k**3 - 9*k**2 + 12*k - 7. Calculate the remainder when 2 - 271/(-6) - 2/n is divided by o(8).
22
Let d = -3041 - -3357. What is the remainder when d is divided by 22?
8
Let a(k) = -k**3 + 6. Suppose 4*b - 2*d - 3 = 9, 4*d = 0. Suppose -p = -7*o + b*o - 15, -3*p - o = -71. What is the remainder when p is divided by a(0)?
5
Let o = 50 + -61. Let a(m) = -m**2 - 10*m + 17. What is the remainder when 35 is divided by a(o)?
5
Let q = -200 + 215. Let y = 12 + -6. Calculate the remainder when q is divided by y.
3
Suppose 11*f - 342 = -12. Calculate the remainder when 65 is divided by f.
5
Calculate the remainder when 19/(-3)*(-8 + 2) is divided by (6 - 16)*((-4)/(-2))/(-1).
18
Suppose n + 5*d - 45 = 0, -2*n - 2*d = 3*n - 317. Let h = 40 + -7. Calculate the remainder when n is divided by h.
32
Suppose 7*y - 308 - 308 = 0. Suppose n - 21 = -u, -4 = n - 6. What is the remainder when y is divided by u?
12
Calculate the remainder when 15/(-9)*(11 - 44) is divided by 8.
7
Suppose -d + 105 = k + 4*d, -4*k + 5*d = -345. Suppose -h = 4*h - k. Calculate the remainder when h is divided by (-9)/(-12) - (-17)/4.
3
Let b = 8 + -5. Suppose -3*o - 2*o - 19 = -y, 0 = -b*y + 5*o + 27. Let x = y - -11. What is the remainder when 28 is divided by x?
13
Suppose -1860 - 1908 = -24*z. Calculate the remainder when z is divided by 9.
4
Suppose -3*f - 5*y + 152 + 133 = 0, -5*f - 3*y + 459 = 0. Let p = f - 69. What is the remainder when p is divided by 11?
10
Let t(y) = 8*y - 58. What is the remainder when 287 is divided by t(8)?
5
Suppose -25 = -4*g + 51. Suppose -25*r + 21*r = -5*c + 155, 4*c + 5*r - 165 = 0. What is the remainder when c is divided by g?
16
Suppose -4*r - 83 = -79. Calculate the remainder when -4*2/(-8)*r*-32 is divided by 9.
5
Let x(m) = 5*m - 7. Suppose 0 = -2*f + 3*f + 3, 5*a - f = 68. Calculate the remainder when x(a) is divided by 20.
18
Let x = 1033 - 794. Calculate the remainder when x is divided by 19.
11
Suppose -295 = -11*t + 222. What is the remainder when 269 is divided by t?
34
Let s be (-18)/5*(-140)/(-28). Let i be (1 + 1)/(1/42). Let x = s + i. Calculate the remainder when x is divided by 23.
20
Let x(d) = d**2 + 4*d**2 + 3*d**2 - 5*d**2 - 29*d - 10. What is the remainder when 101 is divided by x(11)?
33
Let j = 29 + -26. Suppose -j*n = -n - 32. Calculate the remainder when n is divided by 9.
7
Suppose -3 = -2*i + 1. Suppose 0 = 19*n - 17*n - 34. What is the remainder when n is divided by ((-5)/i - -2)*-18?
8
Let b(p) = p**3 - 9*p**2 + 7*p + 8. Let c be b(8). Suppose -g - 22 = -d - c*g, -5*d - g = -116. What is the remainder when 32 is divided by d/3 - 14/21?
4
Suppose -119 = -2*u + 4*d - d, -3*d = 4*u - 229. Let w = 9 + -4. Let l(j) = j**2 + j. Calculate the remainder when u is divided by l(w).
28
Suppose 0 = a - 2*c - 9, -3*c + 15 = 2*a - 4*c. Suppose -4*g + 49 = 5*r, -6*g - 16 = -a*g - 5*r. Calculate the remainder when 19 is divided by g.
8
Suppose 23 = -7*n + 247. Let v = -30 + n. Suppose -2*f - 2*z = -12, 5*z - 14 = f + 4. What is the remainder when f is divided by v?
0
Let g(d) be the second derivative of d**4/6 + 2*d**3/3 + 3*d**2 + 3*d. Let z(n) = -11*n - 1. Calculate the remainder when z(-4) is divided by g(-4).
21
Suppose 65 = 3*l - h, 5 = 4*h + 1. Suppose 6*z + l = 5*z. Let v = 48 + z. Calculate the remainder when 76 is divided by v.
24
Calculate the remainder when 42 is divided by ((-18)/(-63))/((-5)/7)*-60.
18
Suppose -6*n + 27 + 75 = 0. Let g(s) = -20*s - 36. What is the remainder when g(-5) is divided by n?
13
Suppose a + 2*a - 51 = 0. Let d be 8/12 - 4/6. Suppose 0 = 3*i - d*i, 2*w - 100 = 3*i. What is the remainder when w is divided by a?
16
Let r = 572 + -444. What is the remainder when r is divided by 9?
2
Calculate the remainder when (-7)/(84/246)*(-36)/6 is divided by 1 + (5*3 - -2).
15
Let x be (16/20)/(-3 + 647/215). Suppose 21*y - 19*y - x = 0. Calculate the remainder when y is divide