alculate the remainder when x is divided by 17.
14
Let z be 1/(1 - 1/2). Suppose 0 = 6*w - 2*w + z*m - 52, -3*w + 38 = 2*m. Calculate the remainder when 40 is divided by w.
12
Let u = 74 - 79. What is the remainder when 12 is divided by (21/3)/(u - -6)?
5
Let d(a) = a**2 + 9*a + 6. Let o be d(-9). Let m = o + 2. Suppose 4*g = 2*f + 18, -3*g - 4*f + 2*f + 17 = 0. What is the remainder when m is divided by g?
3
Let f = 26 - 26. Let u = 2 - f. Suppose 5*d = -3*r + 8, 2*r - 4 = -5*d - u*r. What is the remainder when d is divided by 2?
0
Let r(n) = -87*n + 725. What is the remainder when 490 is divided by r(8)?
26
Let g be (-1 - 2) + -2 + -1126. Let h = 5 + -23. What is the remainder when g/h + (-1)/(-6) is divided by 13?
11
Let g(t) = -2*t**2 - 17*t + 239. Calculate the remainder when 213 is divided by g(7).
15
Suppose -426 = -101*d + 99*d. What is the remainder when d is divided by 60?
33
Suppose 4*r - v = -2*v - 29, -3*r + 5*v + 7 = 0. Let a = 21 + r. Let s = 168 + -124. What is the remainder when s is divided by a?
14
Let y(z) = 3*z**2 - 21*z + 14. Let i be y(6). What is the remainder when 73 is divided by 31/i*(-2 + 22)/(-5)?
11
Let a = 3 - 1. Suppose -3*h - a + 44 = 0. Calculate the remainder when 2/3 - (-410)/6 is divided by h.
13
Suppose a - 5*v - 14 = 68, -4*v = a - 82. Calculate the remainder when a is divided by 47.
35
Let u = 14 - 33. Let n = -16 - u. Let m = 1 - -3. What is the remainder when m is divided by n?
1
Let l(f) = -f**2 - 2*f + 4. Let d(o) = -o**2 + o + 31. What is the remainder when l(-3) is divided by d(6)?
0
Suppose 2*k = -4*c + 166, 5*c - 200 = k + 25. Suppose 10*r - 12*r = -c. What is the remainder when 108 is divided by r?
20
Calculate the remainder when 6 is divided by (6 + -8)*20/(-8).
1
Let p(q) = -q + 5. Let a = 2 - 6. What is the remainder when 42 is divided by p(a)?
6
Suppose 28*g - 331 = 1573. Calculate the remainder when 1019 is divided by g.
67
Let v(g) = -g**3 - 12*g**2 - 4*g - 3. Let s be v(-12). Suppose 5*j = 5*p + 150, -2*j = -0*p + 3*p - s. Calculate the remainder when 77 is divided by j.
23
Let c = 40 - 36. Suppose 38 = -2*w + c*w. Suppose 292 = -0*t + 4*t - a, -146 = -2*t + 3*a. Calculate the remainder when t is divided by w.
16
Let x(m) = 4*m**2 - 5*m + 3. Suppose 4 - 18 = -2*a - 4*n, 5*a + 2*n = 27. Suppose a*j - 12 = j. Calculate the remainder when 71 is divided by x(j).
23
Suppose g = -2*u + 32 + 155, 3*g = 4*u - 379. Let l be (u/1)/(1 - 2). Let x = -22 - l. Calculate the remainder when x is divided by 25.
22
Suppose -2*l - l = 60. Let b = -13 - l. Let z = -6 - -11. Calculate the remainder when b is divided by z.
2
Let s = -39 + 32. Calculate the remainder when 60 is divided by (2 - s)*-1*-1.
6
Calculate the remainder when 193 is divided by 56/21*15 - 7.
28
Suppose 4*h = -1 + 5. Let g be (2/h - 0) + 2. Suppose g*x - 412 = -136. Calculate the remainder when x is divided by 24.
21
Calculate the remainder when 1234/30 - (-4)/(-30) is divided by 7.
6
Suppose 11 = 4*x + 11. Suppose x = -5*t + 81 + 9. Calculate the remainder when 71 is divided by t.
17
Suppose 17*l - 20*l = -231. Let c = l + 3. What is the remainder when c is divided by 12?
8
Let c(j) = -j**2 + 12*j - 13. Let x be c(9). Let m = -21 - -52. Calculate the remainder when m is divided by 108/x + (-10)/(-35).
7
Suppose y + l = -5, 3*l = -y - l + 10. Let s = y + 31. Let w = s + -5. Calculate the remainder when 45 is divided by w.
13
Suppose 4*q - 27*j + 30*j = 384, -5*j = -4*q + 352. Let w = 130 + -82. Calculate the remainder when q is divided by w.
45
Let n(t) = -t**2 + 7*t + 184. What is the remainder when 190 is divided by n(15)?
62
Suppose j - 7*j + 216 = 0. Let i = j - 15. Calculate the remainder when i is divided by 6.
3
Let b(h) = h + 9. Let l be b(9). Suppose 7*j + l = 8*j. What is the remainder when 68 is divided by j?
14
Suppose -13 = -3*x - 4*o, -15 = -3*x - 3*o - 0. Suppose 73 = f - 2*u, -208 = -3*f + 2*u - x*u. Let m = f - 26. Calculate the remainder when m is divided by 12.
9
Suppose -48*r + 494 = -82. What is the remainder when 18 is divided by r?
6
Let j(z) = -z**3 - z**2 + z + 2. Let n be (0 + 2)/(-2) + -7*3. Let m = n + 27. Calculate the remainder when m is divided by j(-2).
1
Let c be 2/(-6) + 742/(-6). Let z = c + 229. Let o = -323 - -350. What is the remainder when z is divided by o?
24
Let f = 30 + -19. Suppose k + 3 = 2*r, -4*k + 0 + 2 = -r. Suppose 3*a - 49 - 30 = -r*n, 4*a - 119 = -3*n. What is the remainder when n is divided by f?
8
Suppose 0 = 5*h + 16*q - 15*q - 423, 2*q + 14 = 0. Suppose -3*a = 3*b - 72, 7*a - 3*a + 2*b - 106 = 0. Calculate the remainder when h is divided by a.
28
Suppose 0*m - 2*l = 4*m - 68, -5*m = -2*l - 85. Suppose 0 = -3*z + m + 4. Let t(y) = 5*y + 1. What is the remainder when t(5) is divided by z?
5
Suppose 4*s = -y + 180, 3*s - 44 = 3*y + 76. What is the remainder when s is divided by (161/(-21))/(2/(-6))?
21
Suppose -y + 0*y = 0. Suppose y = -5*a + 3*a + 90. Calculate the remainder when a is divided by 16.
13
Let s = 10 + 9. Let v(y) = y**3 - 5*y - 6. What is the remainder when v(5) is divided by s?
18
Let i = -5 + 8. Suppose -h + 3 = 2*o, -i*o = -5*o - 5*h - 9. Suppose 3*w + 2*k - 75 = -15, 0 = w - o*k - 20. Calculate the remainder when w is divided by 11.
9
Let m(c) be the second derivative of 107*c**5/20 - c**4/12 + 2*c**3/3 - c**2 + 13*c. Calculate the remainder when m(1) is divided by 19.
13
Let m(u) be the second derivative of -u**4/12 - 5*u**3/3 + 5*u**2 - 2*u. What is the remainder when m(-10) is divided by 2?
0
Let k(h) = -17*h - 4. Suppose -2*z = -5*u + 60, 60 = -3*u + 8*u + 2*z. Calculate the remainder when k(-3) is divided by u.
11
Suppose 2*z + 3*z = -2*a + 197, 4*z + 206 = 2*a. Calculate the remainder when a is divided by 26.
23
Let u(w) = w**3 - 6*w**2 - 8*w + 3. Let g be u(7). Suppose -r + 3*n + 25 = -n, 12 = -4*n. What is the remainder when g/18 - (951/(-27) - 3) is divided by r?
12
Suppose 7*o = 3*o - 12. What is the remainder when 25 is divided by -1*12/9*o?
1
Suppose 0*n + 141 = 3*n. Let m = -202 - -214. What is the remainder when (n/(-4))/((-2)/8) is divided by m?
11
Let u = 0 + 6. Let c = 8 + u. What is the remainder when c is divided by 11 + -3 - (-2 - -1)?
5
Suppose 0 = 3*w + g - 311, -5*w + 517 = -0*w + 3*g. Let i = -80 + w. Calculate the remainder when i is divided by 9.
6
What is the remainder when 35 is divided by (2/8)/(2 + (-103)/52)?
9
Let a(s) = s**2 + 7*s - 1. Let p = 376 + -370. Calculate the remainder when a(-8) is divided by p.
1
Suppose 3*z + 5*h - 49 = -0*z, 4*z - 76 = -4*h. Suppose 474 = -4*c + k - 9, 234 = -2*c + 2*k. What is the remainder when z is divided by (-8)/40 - c/10?
11
Suppose 5*x - 11 = 224. Suppose -25 = -5*z, 2*o + 2*z = 3*z + x. Calculate the remainder when o is divided by 10.
6
Let h(r) = -r**3 + 9*r**2 - 5*r + 1. Let y(u) = -u**2 - 1. Let o(n) = h(n) + y(n). Calculate the remainder when 25 is divided by o(7).
11
Let x(p) = p + 3. Let i = -7 + 10. Suppose 6*s - 24 = i*s. What is the remainder when 31 is divided by x(s)?
9
Calculate the remainder when 41 is divided by (-2)/(-4)*7*132/77.
5
Suppose 3*y + 626 = 2*x, -x - 3*y = -y - 320. What is the remainder when x is divided by 29?
26
Let x(g) = 10*g**3 - 4*g**2 + 3*g - 1. Let z be x(2). Let n = -49 + z. Let s = 228 - 221. Calculate the remainder when n is divided by s.
6
Let f(w) = w**2 + 5*w - 2. Let l be f(-5). Calculate the remainder when 41 is divided by (176/(-10) - (-2)/(-5))/l.
5
Suppose -6 = -3*f - a, f = 5*f + 4*a. Suppose -49 = -12*h + 8*h - 3*q, f*h = -q + 43. What is the remainder when 93 is divided by h?
13
Suppose 7*b + 11 + 3 = 0. Let q(c) = 2*c**2 - 4*c - 3. Calculate the remainder when 34 is divided by q(b).
8
Calculate the remainder when 0 - ((-2)/(-12) - 2308/24) is divided by 33.
30
Let h = -7 - -11. Suppose -2*v = -3*v + h. Let u = 5 - -8. Calculate the remainder when u is divided by v.
1
Let o = 576 - 434. Calculate the remainder when o is divided by 54.
34
Suppose -115 = 3*j - 22. Let b = j + 66. What is the remainder when b is divided by 13?
9
Suppose 0 = 4*f - 6*f + 26. Let h(a) be the first derivative of a**3/3 - a**2 + 12*a + 4. What is the remainder when h(6) is divided by f?
10
Calculate the remainder when 59 is divided by (-96)/(-288) + 44/3.
14
Suppose 8