)/9)/(2/(-9)). Suppose 97 = 4*r - w*u, -5*r + 165 = u + 4*u. Let x = r + -17. Calculate the remainder when x is divided by 6.
5
Let h(m) = 2*m**2 - 7*m + 4. Let s be h(4). Suppose -5*j = -s*j + 9. Suppose g - j = -2. Calculate the remainder when g is divided by 1.
0
Let h(j) = 5*j - 2 - 1 + 4. Let p = 29 - 10. Calculate the remainder when h(7) is divided by p.
17
Suppose 0 = 5*h - 0*h - 50. Calculate the remainder when (-1 + 3)*h/2 is divided by 6.
4
Let p = -5 - -8. Suppose -3*x + 7*y + 27 = 4*y, x - 4*y - 3 = 0. What is the remainder when x is divided by p?
2
Let l be ((-2)/(-4))/(5/(-10)). Calculate the remainder when 61 is divided by (-4 + 0)/(l/4).
13
Suppose 3*a = 4*t - 96, -5*a - 61 = -4*t + t. What is the remainder when t is divided by 7?
6
Let p(k) = 2 + k - k**2 - 2*k - 1 - 4*k. Suppose 4*f - 6*m = -m - 30, 3*m + 4 = -2*f. What is the remainder when 1 is divided by p(f)?
0
Let o(d) = d**2 - 7*d + 4. Let f(b) = -b**2 - 10*b - 8. Let t be f(-8). What is the remainder when o(t) is divided by 7?
5
Suppose -2*q = 6 - 32. Let c(f) = -2*f - 1. Calculate the remainder when q is divided by c(-3).
3
Let v = -25 - -72. What is the remainder when v is divided by 4?
3
Let i = 171 + -133. Calculate the remainder when i is divided by 5.
3
Let x = 4 - -7. Calculate the remainder when x is divided by 6.
5
Let w be 7 - ((1 - 0) + -1). Suppose 23 = 4*k + w. Suppose 0 = -2*x + 6*x - 44. Calculate the remainder when x is divided by k.
3
Let m(c) = c**3 + 18*c**2 + 17*c + 23. Calculate the remainder when 44 is divided by m(-17).
21
Suppose y + 4*y = 50. Let r = y - 7. What is the remainder when 3 is divided by r?
0
Let u be 0/(12/(-4))*-1. Suppose 2*d = 4*p + d - 109, p - 4*d - 46 = u. Calculate the remainder when 101 is divided by p.
23
Let w(h) = -24*h + 19. What is the remainder when w(-5) is divided by 20?
19
Let j = -27 + 2. Let a be (-1)/(-2) + 74/(-4). Let b = a - j. What is the remainder when 25 is divided by b?
4
Let p = -294 + 562. What is the remainder when p is divided by 45?
43
Let s = -31 + 56. What is the remainder when 73 is divided by s?
23
Let n(w) = -w**2 + 3*w + 4. Let d be n(3). Suppose 0 = -2*s + 96 - d. Calculate the remainder when s is divided by 12.
10
Let v = -57 + 76. Calculate the remainder when 54 is divided by v.
16
Suppose -2*a - 2*w - 2*w = -18, -4*w = 3*a - 27. Calculate the remainder when 32 is divided by a.
5
Let f(n) = n**3 - 10*n**2 + 11*n - 12. Calculate the remainder when 11 is divided by f(9).
5
Suppose -h = -2*s - 7, -s + 35 = 5*h - 3*s. Calculate the remainder when 18 is divided by h.
4
Suppose 0*n + 2*n + 4*t = 346, -2*n + 3*t + 374 = 0. Let s = n + 91. Suppose 5*i - i = s. Calculate the remainder when i is divided by 23.
22
Suppose -12 = -4*w + 8. Suppose -2*m = -w - 17. Calculate the remainder when 43 is divided by m.
10
Let h(f) = 2*f**2 - 6*f - 4. Let m be h(7). Suppose m = 7*u - 3*u. Suppose -4*j = 3*v - 83, -v - 3*j = 2*j - 35. What is the remainder when v is divided by u?
12
Let a(k) = k**2 - 11*k + 8. Suppose -29 = -2*w + 7. Let d be (-70)/(-6) - 12/w. Calculate the remainder when a(d) is divided by 5.
3
Suppose 4*c - 105 = -c. Calculate the remainder when c is divided by 8.
5
Suppose -4*n + 750 = 38. Calculate the remainder when n is divided by 12.
10
Let o(q) = q**2 - 2*q. Let g = -6 - -4. Let i = 19 + -16. What is the remainder when o(g) is divided by i?
2
Let t be (-20)/(-6) + (-1)/3. Suppose 0 = -t*p - 0*p + 27. What is the remainder when (-2)/3 + 177/p is divided by 10?
9
Suppose 2*y - 4*y + 118 = 0. Suppose -3*f - 91 = -4*q, y = 3*q - q + 3*f. Calculate the remainder when q is divided by 7.
4
Let m(o) = 2*o + 4. Suppose -4*b + 74 = -5*w + 14, -3*w - 4*b - 4 = 0. Let h be m(w). Let g = -6 - h. Calculate the remainder when g is divided by 4.
2
What is the remainder when 428 is divided by (22/10)/(1/15)?
32
Suppose j = 5*j - 148. What is the remainder when j is divided by 10?
7
Let p be (-5)/(-3) + (-1)/(-3). What is the remainder when 31 is divided by (p - -2)/(6/24)?
15
Suppose -5*r = -0*r - 15. Suppose 5 = 2*k - r. Suppose -k*c - 3*f + 5*f = -32, -35 = -3*c - 4*f. What is the remainder when c is divided by 6?
3
What is the remainder when 21 is divided by (242/(-44))/(2/(-4))?
10
Let a(f) = -f**2 + 2*f + 2. Let r be a(3). Let m = 8 - -11. Calculate the remainder when m is divided by (2/(-3))/(r/15).
9
Let u(m) = -49*m - 2. Let z = 19 + -3. What is the remainder when u(-1) is divided by z?
15
Let v = -1 + 4. What is the remainder when 35 is divided by v - (2 + (-8 - 3))?
11
What is the remainder when 38 is divided by (78/18)/((-1)/(-3))?
12
Let k(b) = -b**3 + 3*b**2 + 4*b - 3. Let c be k(3). Suppose -y + c - 3 = 0. What is the remainder when 16 is divided by y?
4
Suppose 3 = 4*k - c - 30, 3*c = k - 11. What is the remainder when 22 is divided by k?
6
Let t = 6 + -2. Let k(y) = -y + 9. Let x be k(t). Suppose s = -3*o + 2*s + 88, o - 8 = -x*s. Calculate the remainder when o is divided by 15.
13
Suppose 5*u - u - 117 = -3*x, -2*u = -3*x + 99. Calculate the remainder when x is divided by 104/6 + (-4)/(-6).
17
Let n = -134 + 318. Suppose 92 = 4*y - n. What is the remainder when y is divided by 18?
15
Let u be 0/((-1 - -2) + 1)*-1. Suppose 3*f - 7 - 8 = 0. Suppose -4*y - f*p + 48 = u, 2*y - 3*p - 15 = 9. Calculate the remainder when y is divided by 7.
5
Suppose 21 = 2*l - 43. What is the remainder when 62 is divided by l?
30
Suppose 3*x - 9 = 3*v - 6*v, -19 = -5*v - x. Calculate the remainder when (-3)/2 + 126/12 is divided by v.
1
Let h(n) = 16*n - 3. Suppose 0 = -4*l + 8*l - 16. Calculate the remainder when h(l) is divided by 16.
13
Suppose 0 = 3*k - 4*v - 156, 2*k = 3*v - 6*v + 87. What is the remainder when k is divided by 25?
23
Suppose 0 = 5*i - 3*d - 7, 0 = -2*i - d + 7 - 2. What is the remainder when 4 is divided by i?
0
What is the remainder when 34 is divided by -1 + (-25)/(-15) + 75/9?
7
Suppose -2*z + 27 = v, 3*v = 3*z + z - 59. Suppose p + 42 = -2*j, 3*p + p = 4*j + 108. Let h = 3 - j. What is the remainder when h is divided by z?
12
Let n = -173 - -187. Suppose -h = 2*h - 15. Suppose 0*b - j = -3*b + 79, 5*b - 135 = h*j. Calculate the remainder when b is divided by n.
12
Let k = -4 + 2. Let o be k/8 + 13/4. Suppose -o*r + 39 = -6. What is the remainder when r is divided by 8?
7
Let b(m) = 2*m**2 - 9*m + 4. Let s = 4 - -6. Let n = -2 + s. What is the remainder when b(6) is divided by n?
6
Suppose 2*y + 34 = -2*i, 55 + 11 = -4*y - 2*i. Let s = y + 32. Let f(q) = -q**2 + 10*q - 10. What is the remainder when s is divided by f(8)?
4
Let x(m) = -m**2 - 6*m. Let p be x(-5). Suppose 0 = -p*g + 3*y + 134, 3*g - 112 = -3*y - 46. What is the remainder when g is divided by -1 + 10 - (1 - 1)?
7
Suppose 2*n - 159 = -n. Suppose -w + n = -0*w. What is the remainder when w is divided by 18?
17
Suppose -2*x - 2 = -6. Suppose 2*a = -x + 22. Calculate the remainder when 29 is divided by a.
9
Let p(t) = 7*t + 0*t**2 - 11*t**3 - 6*t + 2*t**2. Calculate the remainder when p(-1) is divided by 7.
5
Let s = 19 + -15. Suppose -5*i + u + 35 = -38, s*u - 53 = -3*i. What is the remainder when i is divided by 9?
6
Suppose 6*x - 25 = -h + x, 2*h - 3*x + 2 = 0. Suppose -w + h = -18. What is the remainder when w is divided by (-2)/(-9)*-6*-6?
7
Let t = 15 + 24. What is the remainder when t is divided by 15?
9
Let q = 10 - 18. Let j = q + 13. Calculate the remainder when 7 is divided by j.
2
Let r = 0 - -6. Let l(p) = -5*p**3 - 3*p**2 + p - 1. Let d(v) = -4*v**3 - 3*v**2. Let m(h) = r*d(h) - 5*l(h). What is the remainder when m(4) is divided by 1?
0
Suppose -2*g + 161 = 121. What is the remainder when 56 is divided by g?
16
Suppose -20 = -2*d - 3*d. Let b = d + 0. Suppose b*l - 3 = l. Calculate the remainder when 2 is divided by l.
0
Let d = 5 + -3. Suppose -l = 4*y - 61, d*l = -4*y - 0*l + 62. Let h(q) = -3*q. Calculate the remainder when y is divided by h(-3).
6
Let k(f) = f + 25. What is the remainder when 19 is divided by k(-17)?
3
Let w = 14 + -4. Suppose -4*i + 4*n = -2*i - 20, 3*i - w = n. Let x(r) = r**3 - 9*r**2 - 11*r + 11. What is the remainder when i is divided by x(10)?
0
Suppose 0 = -3*c + 2*c - 27. Let u = c + 82. Calculate the remainder when u is divided by 14.
13
Suppose v + 10 = 6*v. What is the remaind