Suppose -5 = -2*z + 11. Suppose -2*k - z = -4*k. Calculate the remainder when y is divided by k.
3
Suppose -5*j + p + 75 = 6*p, 2*p - 81 = -5*j. Let z(o) = -o**3 + 5*o**2 - 3*o - 3. What is the remainder when j is divided by z(3)?
5
Let r(x) = x. Let j be r(-4). Suppose 0*d = -2*d + 22. Calculate the remainder when 28 + 2 - 4/j is divided by d.
9
Let m be (35/14)/((-2)/(-12)). Let t(z) = -2*z**3 + 2*z**2 - z - 1. Calculate the remainder when t(-2) is divided by m + (-6)/(-3) + -3.
11
Let k(q) = -q**3 - 7*q**2 - 3*q + 6. Let f be k(-6). Calculate the remainder when (-116)/3*18/f is divided by 20.
18
Let q be 2 - 1 - (-1 + -3). Let g be q/(-15) + 169/3. Suppose -g = -4*w + 28. What is the remainder when 41 is divided by w?
20
Let i = -34 + 39. Suppose -4*u + 53 = k, 4*u = -2*k + 12 + 86. Suppose -2*y - 3*q - k = -7*y, -5*q = 5*y - 45. What is the remainder when y is divided by i?
4
Let d(l) = l**2 + 2*l - 3. Let g be d(-3). Let u(r) = r**2 + 2*r + 4. What is the remainder when 1 + (11 - -1) + g is divided by u(-3)?
6
Suppose 0*k + 5*k + 2*g = 47, 36 = 4*k + 2*g. Let t = -7 + k. Suppose -4*x = -5*z - 236, t*z + 232 = 8*x - 4*x. What is the remainder when x is divided by 14?
12
Let p(h) = h**3 + 7*h**2 - 9*h - 9. What is the remainder when p(-7) is divided by 20?
14
Suppose 4*p - 73 = y, -p - 70 = -6*p - 3*y. Suppose -c - 12 = 2*v, -3*v - 2*c - 18 = 3*c. What is the remainder when (-194)/v + 4/(-12) is divided by p?
15
Suppose 2*r - 36 = -2*g + 22, 5*r - 129 = 3*g. What is the remainder when 133 is divided by r?
25
Let p = 22 + 0. What is the remainder when 43 is divided by p?
21
Let u = 3 + -3. Suppose -4*z + 28 = -u. Suppose -z = 3*p - 25. Calculate the remainder when 11 is divided by p.
5
Suppose -z = z + 4, -5*b - 2*z = -726. What is the remainder when b is divided by 37?
35
Suppose -2*g + 12 = -4*k, 5*k = -g + 3*g - 14. Let y = k + 15. What is the remainder when y is divided by 4?
1
Let g(q) = 3*q + 1 + 2 - 1 - 2*q. What is the remainder when g(-1) is divided by 1?
0
What is the remainder when (-473)/(-4) - (216/(-32) - -7) is divided by 42?
34
Suppose -k - 522 = 5*v - 5*k, -15 = -5*k. Let a be 2/13 + v/(-13). Suppose a = 3*l + 2. What is the remainder when l is divided by 1?
0
Let g be -1 + 1 + 4 + -2. Suppose 47 = s - 2*p + 5, -p - 141 = -3*s. Suppose -g*r = r - s. Calculate the remainder when 30 is divided by r.
14
Let x(n) = -n**2 - 7*n - 12. Let v be x(-5). Calculate the remainder when -3 - (74/v + -1) is divided by 12.
11
Suppose 0*f = -f - 4, 0 = 5*m + 5*f - 150. Let k = -16 + m. Calculate the remainder when 51 is divided by k.
15
Let c be (-819)/(-15) + (-12)/20. Suppose -p + c = 2*p. Calculate the remainder when 33 is divided by p.
15
Let j = -5 - -4. Let d(f) = -88*f. Let v be d(j). Suppose 3*x - v = 17. Calculate the remainder when x is divided by 18.
17
What is the remainder when 17 is divided by (-21)/(-7) + 1*6?
8
Let n = 7 + -2. Let x(g) = -g**2 + 8*g - 3. Let h = -53 + 75. Calculate the remainder when h is divided by x(n).
10
Let d = 87 + 72. What is the remainder when d is divided by 32?
31
Suppose 0 = 3*i - 2 - 7. Suppose -4*y = -19 - 1. Calculate the remainder when y is divided by i.
2
Suppose -3 = -5*d + 222. What is the remainder when d is divided by 24?
21
Let z(w) = 3*w - 1. Let t be z(5). Suppose 4*m - t = 2. What is the remainder when 6/(-5)*5/(-1) is divided by m?
2
Suppose -3*r + 3*u + 117 = 0, -3*r + 172 = r + 4*u. Let z = 10 + 1. Suppose 0 = -4*c - 8, -2*q = c - z - 15. Calculate the remainder when r is divided by q.
13
Let o be (-1 - -1) + (-1 - -3). Suppose c + o = -s + 2*s, s + 6 = 5*c. Let h(m) = m**3 - 2*m**2 - 4*m + 4. Calculate the remainder when h(s) is divided by 7.
6
Suppose -4*f - 2*j + 11 = 71, 0 = -4*f + 2*j - 52. What is the remainder when 17 is divided by 44/7 + 4/f?
5
Suppose -3*g = 5*i + g - 145, 4*i = 4*g + 116. Let z = i + 4. What is the remainder when z is divided by 12?
9
Let i(a) = -a + 1. Let d(b) = 11*b**2 - 6*b + 7. Let m(h) = d(h) - 6*i(h). Calculate the remainder when 58 is divided by m(-1).
10
Suppose -12*q + q = -341. Calculate the remainder when q is divided by 11.
9
Let v(x) = 5*x**2 + 6*x + 3. Let q(p) = p**2 + 1. Let o(r) = 4*q(r) - v(r). What is the remainder when o(-4) is divided by 6?
3
Let q be ((-4)/(-8))/((-1)/2). Let x be (4*q)/(-3 - -1). Suppose -x*w = -3*o - 0*w + 60, 2*o - 35 = 3*w. Calculate the remainder when o is divided by 8.
6
Let o(x) = -3*x + 32. What is the remainder when 74 is divided by o(7)?
8
Suppose 4 = x + x. Let q(j) = 0*j - j + 6 + x*j. What is the remainder when 2 is divided by q(-5)?
0
Suppose -16 = 4*u, p + 2*u = -17 + 58. Calculate the remainder when p is divided by 13.
10
Let o(t) = t + 3 - 2*t**3 - 5 + t**3 + 6*t**2. What is the remainder when o(3) is divided by 10?
8
Suppose -x + 8 = 3*r, -6*r + r = 3*x - 8. Calculate the remainder when r is divided by 3.
1
Let f be 32 - (-2 - (2 - 4)). Let a = 54 - f. Let x(d) = d**2 + 3*d - 2. What is the remainder when a is divided by x(2)?
6
Suppose -k + 90 = -0*k - y, -5*y - 365 = -4*k. Calculate the remainder when k is divided by 327/15 + (-2)/(-10).
19
Let d(a) = a**2 + 5*a - 1. What is the remainder when d(4) is divided by 12?
11
Suppose 2*d + 5*y = 101, 4*y - 4 = -d + 54. What is the remainder when d is divided by 20?
18
Let b(v) = 7*v**3 + v. Let a be b(-1). Let d = a + 18. Calculate the remainder when 37 is divided by d.
7
Suppose 3*d = d + 86. Let o be 9*(-1 + 0/1). What is the remainder when d is divided by (-2)/6 + (-138)/o?
13
Let q(f) = 6*f**2 - 32*f - 2. What is the remainder when 150 is divided by q(6)?
18
Suppose -44 = -9*d + 5*d. Suppose 2*w - 4*z = -2*z + 2, -z - 3 = -2*w. Suppose i - w*i = -d. Calculate the remainder when i is divided by 7.
4
Suppose 0 = 51*d - 50*d - 2. Let j = 14 - 10. What is the remainder when j is divided by d?
0
Let k = 100 - 67. Calculate the remainder when 59 is divided by k.
26
Let l(z) = z + 2. Let y be l(-3). Let m be y/((-3)/6*2). Let i = 3 - m. Calculate the remainder when 4 is divided by i.
0
Suppose -5*u + 425 - 75 = 0. What is the remainder when u is divided by 24?
22
Let i(h) be the third derivative of -5*h**4/12 - h**3/2 + h**2. Let m = 3 - -6. What is the remainder when i(-2) is divided by m?
8
Let p(l) = 6*l. Suppose 2*x = 5*c + 11 - 0, -3*x = 5*c - 4. What is the remainder when 35 is divided by p(x)?
17
Let y = -120 - -30. Calculate the remainder when (-8 - -7)/(2/y) is divided by 12.
9
Let l(n) = -n**3 - 12*n**2 - 12*n + 11. Suppose 0 = -5*w - 21 - 34. What is the remainder when 43 is divided by l(w)?
21
Let r = 36 + -4. What is the remainder when 95 is divided by r?
31
Suppose 9*w - 132 - 84 = 0. Calculate the remainder when w is divided by ((-39)/(-3))/(1 + 0).
11
Suppose -b - b = -16. Let t be (-15)/(-9) + (-1)/(-3). What is the remainder when t*(2 - 22/(-4)) is divided by b?
7
Let r = 10 + -7. Suppose -6*m + r*m + 27 = 0. What is the remainder when 14 is divided by m?
5
Suppose -3*x = 6, -5*v - x + 26 - 8 = 0. Suppose v*a + 0*o - 27 = 5*o, -4*a - 5*o = -77. Suppose 2*j - a = 3. Calculate the remainder when 22 is divided by j.
6
Suppose -4*c + 132 = -3*z, 0 = 2*c + 3*z - 2*z - 66. Calculate the remainder when c is divided by 12.
9
Suppose -4*m + 2*u + 114 = 0, -u + 27 = m - 0*u. Calculate the remainder when (5/10)/(1/m) is divided by 8.
6
Let y = 7 + -4. Suppose -3*i + 5*j + 57 = 0, -j + 57 = y*i - 0*j. What is the remainder when i is divided by 5?
4
Let v(c) = c - 2. Let x be v(-3). Let o(u) = u + 14. What is the remainder when (-156)/(-5) - (-1)/x is divided by o(-6)?
7
Let y = 47 + -4. Calculate the remainder when y is divided by 9.
7
Suppose -74*n - 132 = -78*n. What is the remainder when n is divided by 4?
1
Suppose 5*z - 11 = -1. Calculate the remainder when 4 is divided by z.
0
Let r(d) = 4*d + 7. What is the remainder when -2 + 1 - (-12 + 1) is divided by r(0)?
3
Let m(n) = -3*n - 4. Let d be m(-3). Let b = d + 6. Let u = b + -9. Calculate the remainder when 3 is divided by u.
1
Let y(g) = g + 12. Calculate the remainder when 8 is divided by y(-9).
2
Let n(s) = -4 - 4*s + 0 - 1. What is the remainder when n(-3) is divided by 4?
3
Suppose -9*f + 331 = -353. What is the remainder when f is divided by 26?
24
Let a = -1 - -1. Suppose a = -6*p +