10
Let v(u) = 8*u**2 - 93*u + 466. What is the remainder when v(5) is divided by 106?
95
Let u(o) = -o**2 - 8*o - 10. Let x be u(-6). Suppose -4*j = -2*c - 94, x*c = 2*j + 5*c - 35. Calculate the remainder when 41 is divided by j.
19
Let v(i) = i**2 - 17*i + 4. Let x(g) = -g**3 - 7*g**2 - g - 3. Let t be x(-7). Let o = 13 + t. What is the remainder when 11 is divided by v(o)?
3
Let j(v) = -v**3 - 9*v**2 - 16*v - 12. Let p be j(-11). Suppose 11*u - p = 364. What is the remainder when u is divided by 36?
34
Suppose -5*b - 13*l = -15*l - 114, -l = -b + 21. Calculate the remainder when 166 is divided by b.
22
Let m(q) = 15*q - 293. Calculate the remainder when 52 is divided by m(20).
3
Let u be (1/5)/(5/725). Let v = u + -19. What is the remainder when 35 is divided by v?
5
Suppose -11*f + 125 = -6*f. Suppose -2*o - 5*v + f = -29, 2*o - 18 = 4*v. What is the remainder when o is divided by 5?
2
Let y = -37 - 24. What is the remainder when 54 is divided by 8/(-6) - y/3?
16
Suppose 564 = 6*f - 4*f. Suppose 3*p + 7 - f = 4*i, 3*p = -3*i + 240. What is the remainder when p is divided by 22?
19
Let w(c) = -2*c - 8. Let u be w(9). Let q = -22 - u. Suppose -4*v - q*b - 209 = -7*v, -b + 4 = 0. Calculate the remainder when v is divided by 26.
23
Suppose 361*i - 357*i - 108 = 0. What is the remainder when 27 is divided by i?
0
Suppose 12*j = -230 + 962. Calculate the remainder when j is divided by 18.
7
Suppose u - 4*f = -3*u, -3*f + 6 = -u. Suppose -133 = -2*c + u*o, o + 290 = 5*c + 2*o. Calculate the remainder when c is divided by 10.
9
Calculate the remainder when (-21)/(-2)*(-126)/(-9) is divided by 30.
27
Let w = -22 + 26. Let d(y) = y + 13. Suppose 97 = 3*b + 4*f, -3*f = -3*b - 0*b + 90. Calculate the remainder when b is divided by d(w).
14
Let i = -36 + 32. Let d be 1/2 - 11/2. Calculate the remainder when 7 is divided by d/(5*i/8).
1
Calculate the remainder when ((-64)/(-40)*-3)/(4/(-210)) is divided by 44.
32
Suppose 2*w - 8 = 2*k - 20, 4*w = -2*k. Let c(o) = 84*o. Let z be c(k). Calculate the remainder when z/15 - (-2)/(-5) is divided by 6.
4
Let h(l) = 11*l**2 + 138*l + 90. Let z(x) = 32*x**3 - x**2 - 2*x + 3. What is the remainder when z(2) is divided by h(-12)?
17
Let u be ((-33)/9 + 2 + 2)*15. Suppose u*o - 2*w = 689, 324 = -4*o - 4*w + 892. What is the remainder when o is divided by 28?
27
Let n(a) = 23*a - 107. Let u(k) be the first derivative of k**4/4 + 2*k**3 + 5*k**2/2 + 3*k + 2. Calculate the remainder when u(-3) is divided by n(5).
7
Suppose 5*l - 567 = c, -4*l + 2*c + 336 = -l. Suppose 27*m - 30*m + l = 0. Calculate the remainder when m is divided by (4/(-5))/((-2)/25).
8
Suppose -5*p + 292 = 2*a - 10*p, -4*a + 548 = -p. What is the remainder when a is divided by 13?
6
What is the remainder when -4 - (-78)/18 - (-1086)/9 is divided by 46?
29
Let m = -59 + 144. Suppose 6*r - 355 + m = 0. Calculate the remainder when r is divided by 23.
22
Suppose -30 = -2*d + 2*a, 40*d - 37*d = -5*a + 21. Calculate the remainder when 46 is divided by d.
10
Suppose -2*d - 83 = -y + 73, -2*y - 3*d = -291. Calculate the remainder when y is divided by 55.
40
Suppose 2*s = -2*s + 36. Suppose 0 = 13*r - 10*r - s. Calculate the remainder when 10 is divided by r.
1
Suppose -29*a + 30*a - 3*h = 14, 0 = a + 4*h - 35. Calculate the remainder when 154 is divided by a.
16
Suppose 0 = 4*t + 5*x - 126, 2*t - 4*x = -0*t + 76. What is the remainder when 85 is divided by -3 + t + (-3 - -2)?
25
Let q(a) be the first derivative of -a**3/3 + a**2 + 6*a - 13. What is the remainder when q(0) is divided by (2 + -1)/((-1)/(-3))?
0
Suppose -j = -5*k - 14, 2*k - 16 = -2*j - 3*j. What is the remainder when 35 is divided by j?
3
Let q be (-10)/4*(-12)/15. Suppose -q*p + 15 + 49 = 0. Let o = 135 - 10. What is the remainder when o is divided by p?
29
Let n be (1 + -1)*4/(-8). Suppose 3*f + 5*q = 36, -2*q - 3 - 3 = n. Calculate the remainder when f is divided by 7.
3
Let o be ((-84)/(-35))/((-4)/30). Let f be (3/2)/(o/(-24)). Suppose f*k = -k + 237. What is the remainder when k is divided by 27?
25
Let h(q) = 2*q - 10. Suppose -4*o - 4*w = -o - 35, -4*o - 2*w = -30. Let c be h(o). Suppose 2*f + f - 33 = c. Calculate the remainder when 19 is divided by f.
8
Suppose -4*q + 56 = 16. Suppose -4 = -o + q. What is the remainder when 26 is divided by o?
12
Let m(k) = k**3 - 3*k - 2. Let c(q) = q**2 + 9*q + 4. Let f be c(-9). What is the remainder when m(f) is divided by -1 + (2 - -1) + 11?
11
Let h = 322 - 308. What is the remainder when 67 is divided by h?
11
Suppose -120 = -4*m - 2*o - 24, 5*m - 2*o = 138. Calculate the remainder when m is divided by 15.
11
Let q be 3/3 - 6/2. Let x be (3 - 1)*3/q. Let j = 18 + x. What is the remainder when j is divided by 6?
3
Let r = 219 + -146. Let q = -255 - -358. Suppose 5*k - q = 22. Calculate the remainder when r is divided by k.
23
Let n = -64 + 115. Let x = 67 - n. What is the remainder when x is divided by 7?
2
Let a(v) = 2*v**3 - 4*v**2 + 2*v. Let b be a(2). Suppose -4*p + 7 = -b*l - 29, 0 = -4*l + 12. What is the remainder when (-1)/2 - (-351)/6 is divided by p?
10
Let k(b) = b**3 + 2*b**2 + 5*b + 10. Calculate the remainder when 37 + (1/(-1) - 1) is divided by k(0).
5
Let f = 779 + -745. What is the remainder when f is divided by 3?
1
Suppose 4*n = 3*m + 3*n + 74, -n = -5. Let b = m + 29. What is the remainder when 6 is divided by b?
0
Suppose -2*b = -0*b + 130. What is the remainder when 1 + b/(-1) + -1 is divided by 22?
21
Suppose -5*z - 315 = -3*k, -2*k - 5*z = -9*z - 210. Calculate the remainder when 410 is divided by k.
95
Let w(z) = z**3 - z**2 - 2*z + 46. What is the remainder when w(0) is divided by 9?
1
Suppose 4*w - 2*r = 30, -4*r = -4*w + 59 - 23. Calculate the remainder when 22 is divided by w/(-9)*(-2 + -10).
6
Let m(b) = 18*b**2 - b. Let n be m(2). Suppose 7*s = 2*s + n. What is the remainder when 0 + 0/(-3) + -2 + 42 is divided by s?
12
What is the remainder when (2040/9 - 12) + (-2)/3 is divided by 111?
103
Let w = -207 - -358. Suppose 0 = -3*r + 3*c + 114, 3*r - 3*c - w = -r. What is the remainder when r is divided by 8?
5
Let d(o) = 6*o - 13. Let b = 1 - -3. Calculate the remainder when d(b) is divided by 4.
3
Let p = -87 + 122. What is the remainder when p is divided by 18*(-3)/(-12)*8/6?
5
Let i(b) = 9*b**2 + 57*b - 248. Calculate the remainder when i(5) is divided by 50.
12
Let x(a) = -2*a - 25. Let r be x(-12). Calculate the remainder when 82 is divided by (-1)/r*(-51)/(-3).
14
Let t(k) = 6*k**3 - 7*k**2 + 6*k + 8. Calculate the remainder when t(2) is divided by 17.
6
Let s(w) = 12*w - 9. Let t be s(4). Suppose 3*o - o - t = 5*f, 3*f = -3*o + 90. What is the remainder when 69 is divided by o?
15
Calculate the remainder when 18 - -1*(-6 - -7) is divided by -11*-2*(-3)/(-6).
8
Let m(d) = 4*d + 33. Calculate the remainder when 129 is divided by m(-4).
10
What is the remainder when 300 is divided by -5*(-6 - 69/5)?
3
Let i be (10/4)/(2/4). Suppose 4*o - i*o + 119 = 0. What is the remainder when o is divided by 20?
19
Suppose 34*g - 210 = 20*g. What is the remainder when 58 is divided by g?
13
Let m(x) = 18*x**2 + x - 1. Let i be m(1). Calculate the remainder when (-6)/(2/(i*-1)) is divided by 11.
10
Let x = 98 + -80. Calculate the remainder when 179 is divided by x.
17
What is the remainder when (36/8 - 2)*768/30 is divided by 22?
20
Let o = -14426 + 14435. Suppose 2*k = 4*x + x - 131, -5*x + 140 = -5*k. Calculate the remainder when x is divided by o.
7
Suppose -2*j + 36 = 2*f, -4*f - 3*j = -19 - 52. Let z = 19 - f. Suppose p - 14 = -z. What is the remainder when 20 is divided by p?
8
Let o(c) = 36*c**3 - c + 2. Let j be o(1). Suppose -4*w - 1 = -j. What is the remainder when 53 is divided by (-11)/((-3)/w*3)?
9
Suppose 0 = -20*w + 21*w + 12. Let f(u) = -6*u - 44. Calculate the remainder when 111 is divided by f(w).
27
Let v = -20 - -37. Let j = -1683 + 755. What is the remainder when 4/(-14) - (1 - j/(-14)) is divided by v?
14
Let q = -420 + 445. Suppose -5*o - z + 37 = 0, -o + 2*o - 2*z - 3 = 0. What is the remainder when q is divided by o?
4
Let x(a) = 5*a - 17. Suppose 6 = 4*b - 10. What is the remainder when x(b) is divided by 3?
0
Suppose -4*q + 49 = -83. What is the remainder when q is divided by 7?
5
Let s(k) = 3