, 3*n + 0*k + 3*k = -12. Suppose -q + 5*q + 2*s - 66 = n, 2*q = -5*s + 21. What is the remainder when q is divided by 5?
3
Suppose 3*z = 4*m + 7*z - 772, -3*z - 411 = -2*m. Calculate the remainder when m is divided by 50.
48
Let u(d) = d**3 - d**2 - d + 4. Suppose -3*m - 18 = 7*b - 2*b, -5*m - b - 30 = 0. Calculate the remainder when u(3) is divided by (-15)/10*(-16)/m - -11.
5
Let w(j) = 9 + 10*j + 0*j**2 + 3*j**3 - 4*j**3 - 4*j**2. Let m be w(-6). Suppose -m = v - 2*v. Calculate the remainder when 40 is divided by v.
19
Suppose -39 = -3*y - 3*p, 13 = 2*y + p - 11. What is the remainder when 50 is divided by y?
6
Let y(m) = -m**2 - 17*m - 17. Let f = -43 + 28. Suppose -g = 5*r - 190, 4*r + 4*g - 152 = -0*r. What is the remainder when r is divided by y(f)?
12
Suppose 3*o - m + 396 - 54 = 0, -3*o - 342 = -4*m. Let r = -93 - o. What is the remainder when r is divided by 12?
9
Let y be (-9)/(-2) + (-2)/(-4). Suppose 2*i = -2*b + 88, -3*i = -y*b - i + 206. What is the remainder when 123 is divided by b?
39
Suppose 3*p - 34 = 5. What is the remainder when (-8)/5*(-180)/8 is divided by p?
10
Let q = 64 + -5. Suppose 25 = -4*x - o + 89, -2*o - q = -3*x. What is the remainder when 30 is divided by x?
13
Let d = 111 - 107. Suppose -9*i + 80 = -d*i. What is the remainder when 77 is divided by i?
13
Let b(g) be the first derivative of 0*g + 2 + 101/2*g**2. What is the remainder when b(1) is divided by 26?
23
Let u(h) = 5*h + 161. What is the remainder when 110 is divided by u(-21)?
54
Suppose -f - 10 = -3*f, b - 18 = -3*f. Suppose b*y = -5*o + 152, 5*o = 4*y + y + 120. Calculate the remainder when o is divided by 12.
4
Let d = 255 - 175. Let o(t) = 5*t + 191. Calculate the remainder when d is divided by o(-30).
39
Suppose -2*w = -w - 36. Suppose 0 = 3*s + s - w. Let k(a) = -a**3 + 8*a**2 + 12*a - 13. What is the remainder when 26 is divided by k(s)?
12
Let i = -63 + 89. What is the remainder when 71 is divided by i?
19
Let g = 0 + -1. What is the remainder when 1 + 8 - (g - -3) is divided by (394/1773)/(1/9)?
1
Suppose -15 + 45 = -6*y. Let g = 28 + y. Suppose p + 5*n + 40 = 2*p, 4*p + 5*n = 185. Calculate the remainder when p is divided by g.
22
Suppose 4*n = 2*p + 1828, 0*n - 3*p = -3*n + 1374. Calculate the remainder when 56 is divided by 6/(-4)*n/(-36).
18
Suppose 7*t - 111 = 78. Suppose -5*o + 245 = -5*z, 4*o - 192 - 6 = 3*z. Calculate the remainder when o is divided by t.
24
What is the remainder when 727 is divided by ((-207)/92)/(2/(-8))?
7
Suppose 186 = 3*v + q, 5*q = 2*v + 2*v - 248. Suppose 5*g = -3*t + 4*t + 90, 4*g - 3*t - 83 = 0. Calculate the remainder when v is divided by g.
11
Let z(r) = r - 4. Let g be z(6). Let f(t) = t**3 + 6*t**2 + 5*t + 7. Let m be f(-5). Let a = g + m. What is the remainder when a is divided by 3?
0
Let s = -192 + 308. What is the remainder when s is divided by 11?
6
What is the remainder when 273 + 1*(-2 - (-9 + 7)) is divided by 12?
9
Suppose 5*n + 175 = 5*h, 3*n = -h - n + 45. Let w be ((-12)/(-6))/(3/6). What is the remainder when h - 1 - 4/w is divided by 9?
8
Let p be (-1)/(35/(-21)) + (-32)/(-5). Let s(w) be the third derivative of w**5/60 - 7*w**4/24 + w**3 - 3*w**2. What is the remainder when s(p) is divided by 2?
0
Let y be -15*(-3)/9 + 0. Suppose -40 = u - y*u. What is the remainder when 26 is divided by u?
6
Let h(c) = 77*c - 154. Calculate the remainder when 148 is divided by h(3).
71
Let f(q) be the second derivative of 3*q**5/20 + q**4/6 - q**2 - 2*q. Suppose 11*x - 4 = 9*x. Calculate the remainder when f(x) is divided by 8.
6
Let j be 0 - (27 + 0 + 1). Let y be 4 + 186/(-42) - (-368)/(-7). Let z = j - y. What is the remainder when z is divided by 13?
12
Let u(y) = 3*y**2 + 44*y - 29. Calculate the remainder when u(-16) is divided by 11.
2
Let b be 2/(-4*(-3)/(-18)). What is the remainder when (-1 - 0)/((-2)/34) is divided by 2/(-4)*-6 - b?
5
Let r(h) = -h**2 + 8*h + 3. Let g(d) = d**3 + 3*d**2 - 3*d + 9. Let j be g(-4). Calculate the remainder when r(j) is divided by 11.
7
Suppose -11*c + 787 + 808 = 0. Let f = c + -117. What is the remainder when f is divided by 5?
3
Suppose 3*p + 4*x = -p + 28, -21 = 2*p - 5*x. Let h(d) = -4*d + d - 2*d**p - 3 + 4*d**2 - 5*d. Calculate the remainder when h(6) is divided by 6.
3
Let d = 457 + -448. What is the remainder when 107/3 - (-2)/(-3) is divided by d?
8
Let l(n) = -n**2 - 30*n - 190. Suppose 64 = 2*z + 2*z. What is the remainder when z is divided by l(-20)?
6
Suppose 4*u - 21 + 1 = 0. Suppose -5*s + 2*q = -0*q - 70, 0 = -2*s + 4*q + 12. What is the remainder when s is divided by u?
1
Let t = 119 - 112. What is the remainder when 79 is divided by t?
2
Suppose 0 = x + 527 - 570. Calculate the remainder when 103 is divided by x.
17
Let w(y) = -364*y + 385. Calculate the remainder when w(-8) is divided by 110.
107
Let d(u) = -119*u - 30. Calculate the remainder when 360 is divided by d(-1).
4
Let c = 28 + -19. Calculate the remainder when 35 is divided by c.
8
Let w(d) = -4*d - d**2 + 3*d**2 + 76 - 82. Let i be w(6). Suppose 2*t + t - i = 0. What is the remainder when 39 is divided by t?
11
Let p = 15 - 12. Suppose 4*v - p = 17. What is the remainder when v is divided by 4?
1
Suppose 192 = -4*c + 24. Let g = -25 - c. Let j = 39 - g. What is the remainder when j is divided by 12?
10
Suppose 6*d - 3*d = 12. Suppose -d = -w + 2*w. Let b(v) = 2*v**2 - 4*v - 2. Calculate the remainder when b(w) is divided by 12.
10
Suppose -t + 149 = -0*x + 3*x, -4*t = -3*x + 124. What is the remainder when 287 is divided by x?
47
Suppose -25*r + 522 = -23*r. What is the remainder when r is divided by 45?
36
Let t(g) = -g**2 + 6*g + 13. Suppose -2*x + 30 = 3*x. What is the remainder when 62 is divided by t(x)?
10
Let d = -258 - 51. What is the remainder when 1 - (d - 3)/3 is divided by 27?
24
Let n(f) = -2*f + 18. Let z be n(9). Suppose -9 = -3*t - k - z*k, 2*t = 2*k + 14. Calculate the remainder when 9 is divided by t.
1
Let v = 37 - 28. Suppose 2*a = -a. Suppose 5*d + 2*f + a*f - 122 = 0, -3*d = 3*f - 75. Calculate the remainder when d is divided by v.
6
Let k(x) = x**2 - 2*x - 5. Let s be k(-5). Let m = s - 11. Let i(a) = 13*a**2 - 2*a. Calculate the remainder when i(-2) is divided by m.
18
Let y(c) = 4*c + 23. Suppose -4*z = -2*z - 6. What is the remainder when z is divided by y(-5)?
0
Suppose -112 = 713*k - 727*k. Let i be (-1)/((-3)/6 + 0). Suppose -23 = 2*a - 5*o - 68, -i*a + 4*o = -48. Calculate the remainder when a is divided by k.
6
Let f(w) = -w**2 - 7*w + 13. Let x be f(-8). Suppose t - l - 3 = 68, x*t - l - 335 = 0. Calculate the remainder when t is divided by 14.
10
Let c be ((-4)/10)/(13/325). Let o = c - -18. Let a(x) = -x**3 + 9*x**2 - 5*x - 5. Calculate the remainder when 35 is divided by a(o).
16
Let h(f) = 208*f**2 - 17*f - 15. Calculate the remainder when h(-1) is divided by 72.
66
Let p = 16944 - 16928. Calculate the remainder when 664/6 - 4/6 is divided by p.
14
Let s = -1733 - -1795. What is the remainder when 305 is divided by s?
57
Let s = -1836 + 2032. What is the remainder when s is divided by 33?
31
Let c(o) = o**3 - 4*o + 1. Let s(g) = g**2 + 6*g - 7. Let x be s(-7). Suppose -6 = -b - 4*n, -2*n + n = x. Calculate the remainder when c(3) is divided by b.
4
Let n = 563 + -366. Suppose n = 5*m + 52. What is the remainder when m is divided by 9?
2
Suppose 7 = -h - 17. Let p = h - -30. Suppose -p*a = -11*a + 70. Calculate the remainder when 55 is divided by a.
13
Suppose -181 + 205 = y. What is the remainder when 71 is divided by y?
23
Let x = 8 - -5. Calculate the remainder when (-1 + -32)*((-64)/48)/2 is divided by x.
9
Let b = 3 + 0. Suppose b*l = 13*l - 1010. Calculate the remainder when l is divided by 17.
16
Suppose 0 = -15*v + 529 + 86. Let j = v - 9. What is the remainder when j is divided by 29?
3
Let d = 1041 - 511. Calculate the remainder when d is divided by 129.
14
Let t(g) = -5*g**2 - 4*g + 4. Let q(x) = x**2 - x + 1. Let i(a) = 2*q(a) - t(a). What is the remainder when i(3) is divided by 20/(-8)*(-224)/40?
11
Suppose 1 + 9 = r. Suppose r + 78 = 8*m. What is the remainder when 43 is divided by m?
10
Suppose 0 = 4*k - 5*q - 22, 5*k - 5*q - 34 = -9. Calculate the remainder when 8 - k - 2 - -14 is divided by 36/(-21)*14/(-4).
5
Let q(t) = 4*t*