t - 5*g = 39 - r, -3*g = 5*t + 708. What is the remainder when t/(-27) + (-2)/9 is divided by 2?
1
Let q be -1 + (-1 + 3 - 1). Suppose q*n = -3*n. Suppose n = 2*p - 86 - 26. Calculate the remainder when p is divided by 19.
18
What is the remainder when 49 is divided by 12 - 5/((-10)/(-4))?
9
Let n(b) = b**3 - 7*b**2 - 2*b - 18. What is the remainder when 88 is divided by n(8)?
28
Let i = 4 + -1. Suppose 5 = 3*r - 10. Calculate the remainder when r is divided by i.
2
What is the remainder when 67 is divided by 40/(4 + 0) - -4?
11
Suppose -c = -n - n - 118, 3*n = c - 118. Calculate the remainder when c is divided by (3 - (-30)/(-8))*-40.
28
Let h = 30 - -4. Suppose 3*n + 33 = 4*r, -4*r + 0*n + 2*n = -h. Calculate the remainder when 34 is divided by r.
7
Let w(l) = -l + 6. Let o be w(6). Suppose 4*g + o*g + z = 49, -3*g + 2*z + 34 = 0. What is the remainder when 23 is divided by g?
11
Let d(l) = l**2 + 7*l + 6. Let m be d(-5). Let o be m - -6 - (1 + 3). What is the remainder when (-2)/(o + 6/4) is divided by 2?
0
Suppose 14*u - 80 = -6*u. What is the remainder when 6 is divided by u?
2
Suppose -z + 8 = -8. Suppose -3*w = l - 7*w - 15, 4*l + 5*w - 81 = 0. Suppose -2*s - 7 = -l. What is the remainder when z is divided by s?
4
Calculate the remainder when (-93)/(-6)*2 - 0 is divided by 11.
9
Suppose 15 = -2*f + 21. Calculate the remainder when 12 is divided by f.
0
Suppose x + 2 = 2*x. Suppose -28 = 4*h - n - 137, -5*n = 3*h - 99. Suppose -h = -x*a - 0*a. Calculate the remainder when 41 is divided by a.
13
Let b = -399 + 656. Suppose -5*g + b = 17. Let m = 75 - g. What is the remainder when m is divided by 14?
13
Suppose 2*z - 12 = 12. Suppose -o + z = o. What is the remainder when (-3 + (1 - 0))*(-42)/4 is divided by o?
3
Let h = -20 - -28. Let r(b) = -b + 7. Calculate the remainder when r(-7) is divided by h.
6
Suppose 3*q = 3*s + 27, 2*q + s = -q + 43. What is the remainder when 76 is divided by q?
11
Let u(q) = -2*q - 1. Suppose -y = 5*b - 11, 0 = b - 0*y + 4*y + 13. Calculate the remainder when u(-4) is divided by b.
1
Let a(t) = -t**3 - 11*t**2 - t - 16. Let v be a(-11). Let u = v - -18. What is the remainder when 47 is divided by u?
8
Suppose a - 9 = 3*t, -5*a + 4*t = -0*a - 23. Calculate the remainder when 11 is divided by a.
2
Let a = -26 - -37. Calculate the remainder when 62 is divided by a.
7
Suppose -5*z - 4*s + 45 = -10, 0 = -4*z - 4*s + 40. Suppose -5*p - c + 138 = 0, 2*p - 4*c = -3*c + 58. What is the remainder when p is divided by z?
13
Suppose -4*r + 12 = -r. Suppose -2*l + 8 = -0*l. What is the remainder when r is divided by l?
0
Suppose -9*x + 165 = -6*x. What is the remainder when x is divided by 19?
17
Let w(b) be the second derivative of b**4/12 - 2*b**3/3 + 3*b**2 + 3*b. What is the remainder when 31 is divided by w(5)?
9
Let p = -143 - -196. What is the remainder when p is divided by 32?
21
Let s be 440/(-30) + 2/(-6). Let t = -4 - s. What is the remainder when 21 is divided by t?
10
Calculate the remainder when 168/((-12)/(-4)) - -1 is divided by 15.
12
Let r = 14 - -14. Calculate the remainder when r is divided by 4/((-2)/(-9 - -1)).
12
Calculate the remainder when (-766)/(-6) + 8/(-12) is divided by 32.
31
Let v(r) = r**3 - 10*r**2 + 11*r + 2. What is the remainder when 59 is divided by v(9)?
19
Suppose 11*y - 7*y = 2*w - 194, -5*w + 5*y + 470 = 0. What is the remainder when w is divided by 23?
22
Suppose -5*a + 47 = -18. Suppose -10 = -q - 3*f, -2*q + 4*q = f + 6. What is the remainder when (-2)/4 - (-150)/q is divided by a?
11
Let p(g) = g**3 - 8*g**2 + 8*g - 2. Let m be p(7). Suppose -10 = -10*c + m*c. Calculate the remainder when c is divided by 2.
0
Suppose 34*x = 28*x + 1140. Calculate the remainder when x is divided by 48.
46
Let n(f) = 2*f**2 - 8*f - 4. Let k be ((-12)/8)/((-2)/8). What is the remainder when n(k) is divided by 7?
6
Suppose 0 = -0*n + 2*n. Suppose -d + 9 = 2*f - n*d, 5*f = 5*d + 15. Calculate the remainder when 11 is divided by f.
3
Let b = 8 - 4. Suppose q = 0, 4*n - b*q = -0*n + 12. Suppose 5*t - 14 = n*t. What is the remainder when t is divided by 4?
3
Suppose -13*d = -9*d - 108. Calculate the remainder when 35 is divided by 16/3*d/12.
11
Let n be ((-218)/(-4))/((-2)/4). Let a = 156 + n. Calculate the remainder when a is divided by 220/14 + (-4)/(-14).
15
Suppose w - 3 = -2*m + 20, 4*w + 2*m = 92. Calculate the remainder when w is divided by 12.
11
Let u = -11 + 15. Calculate the remainder when (-27)/18 + (-29)/(-2) is divided by u.
1
Let t(i) = -i**3 - 5*i**2 + 6. Let h be t(-5). Let r be 8/24*h*2. Suppose 8*o + 240 = 4*c + 3*o, 0 = -o + r. Calculate the remainder when c is divided by 22.
21
Let n(p) = -p**3 - 11*p**2 + 11*p - 8. Calculate the remainder when 9 is divided by n(-12).
1
Suppose -r + 15 = 2*a, 4*a - 3*r = -4*r + 31. Suppose -b + 2*i + 20 = 0, -2*b + 3*i = 2*i - 31. Calculate the remainder when b is divided by a.
6
Let m(h) = -h - 1. Let w(b) = b**2 - 8*b - 5. Let c be w(8). Let y = 1 + c. What is the remainder when 4 is divided by m(y)?
1
Let l be ((-8)/(-5))/(10/25). Suppose -l*m - 2*c + 96 = 0, 5*c - 70 = -3*m + 3*c. What is the remainder when m is divided by 7?
5
Let b(a) = 4*a - 1. What is the remainder when (-267)/(-21) + (-2)/(-7) is divided by b(2)?
6
Let s(x) = x**2 - 2*x + 5. Let d(a) = a + 1. Let v be d(3). Calculate the remainder when (0 + 2)/(4/74) is divided by s(v).
11
Let g = 127 + -75. Calculate the remainder when g is divided by 18.
16
Let f(y) = -y**2 + 4*y + 3. Let d be f(4). Suppose -2*r - 5 = -3*v + 18, 2*r - 19 = -d*v. Calculate the remainder when 12 is divided by v.
5
Suppose 3*m + 3 = 6. Suppose 2*w + m = b + 38, -4*b + 99 = 5*w. Let n = 20 - 10. What is the remainder when w is divided by n?
9
Suppose -4*l + 43 = 2*x - 31, 213 = 4*x - 5*l. Calculate the remainder when x is divided by 12.
11
Suppose 47 = q + 37. What is the remainder when 16 is divided by q?
6
Suppose 2*h - 44 = 3*p, 12*h + p - 102 = 8*h. What is the remainder when h is divided by (-1)/3 + 56/6?
7
Suppose -54 = -3*u - 6*i + i, -4*i - 40 = -4*u. Let l(c) = 50*c**2 + c + 75 + c - 76. What is the remainder when l(1) is divided by u?
12
Suppose -3*q + 2*u = -3*u - 29, 3*q + 4*u = 47. Let t = 90 + -49. Suppose 2*c - t = 9. What is the remainder when c is divided by q?
12
Suppose -3*p - 5*h = 1, 5*p + 27 = -h - h. Let q be 40/15*(-2)/(24/45). Let f = p - q. Calculate the remainder when 6 is divided by f.
0
Suppose 0*x + 78 = 2*x. Let d = x + -19. What is the remainder when 58 is divided by d?
18
Let c(q) = -4*q - 15. Calculate the remainder when 53 is divided by c(-6).
8
Let j(w) = 3*w - 15. Let i be (5/(-15))/((-2)/36). Calculate the remainder when 12 is divided by j(i).
0
Let b(n) = -3*n**2 - 5*n + 5*n**2 + 0*n + 4. Calculate the remainder when (38/(-4))/(3/(-6)) is divided by b(3).
5
Let d = -2 + 8. Let w = -7 - -61. Let b = w + -38. What is the remainder when b is divided by d?
4
Suppose 3*o - 2*o = -2*c + 17, -27 = -3*c - 2*o. Calculate the remainder when 13 is divided by c.
6
Let m = 91 - -6. What is the remainder when m is divided by 9?
7
What is the remainder when (-10 + 8)/((-4)/66) is divided by 12?
9
Let g = 62 - 42. Let p(y) be the first derivative of 7*y**3/3 - 1. Calculate the remainder when g is divided by p(-1).
6
Calculate the remainder when 41 is divided by 134/6 - 15/45.
19
Let t = 51 - 44. Calculate the remainder when 9 is divided by t.
2
Suppose 0*p + 2*p - 6 = 0. What is the remainder when -1*(-6)/(-18) + 39/9 is divided by p?
1
Let a be (-2)/8 + 483/12. Suppose -3*k = k - a. What is the remainder when 28 is divided by k?
8
Calculate the remainder when ((-61)/2)/((-6)/12) is divided by 16.
13
Suppose 4*b - 189 = -y, 3*b - 153 = y - 4*y. Suppose 0 = -3*i - t + 21 + 29, -b = -3*i + t. What is the remainder when 47 is divided by i?
15
Suppose -2*j - 3 = -21. What is the remainder when j is divided by 3?
0
Suppose 3*k = -27 + 159. Let u = k + -25. What is the remainder when u is divided by 7?
5
Let w(b) = 9*b - 83. Calculate the remainder when 14 is divided by w(10).
0
Suppose t = 4*b + 1 + 2, 4*b - 4*t = -12. Let a = 12 + -8. Calculate the remainder when a is divided by (b + 1)/(2/4).
0
Suppose -f + 4*g - 10 = -41, 5*g = -3*f + 8. What is the remainder when f is divided by 7