d be r(5). What is the remainder when 22/(-8)*(d + 1) is divided by 1/((-4)/72*-3)?
5
Let z be (-4)/(-3) + 2/3. Suppose 2*j = -z*j + 20. Suppose -j*n + 4*s + 210 = 0, -3*s = 3*n - s - 148. Calculate the remainder when n is divided by 16.
14
Suppose 4*j - k = -0*k + 42, 3*j = -k + 35. Let m = 41 - -19. Suppose -v + m = 2*v. Calculate the remainder when v is divided by j.
9
Let o be (-10)/(-20) - (-61)/2. Suppose 0 = -w - 5*v - 13, 3*w - v - o = -2*v. Calculate the remainder when 33 is divided by w.
9
Suppose 0 = 4*y + 19 - 147. What is the remainder when 94 is divided by y?
30
Let u = 7 - 5. Suppose -3*i + 69 = -z, -u*z = -z. What is the remainder when i is divided by 8?
7
Let s(v) = v**3 - 3*v**2 - 9*v + 12. What is the remainder when 28 is divided by s(5)?
11
Let y = -53 + 76. Let q(a) = -a**2 + 9*a - 6. Calculate the remainder when y is divided by q(7).
7
Suppose -2*s + s - 3*l - 60 = 0, -5*s - 264 = 3*l. Let y = 93 + s. What is the remainder when y is divided by 11?
9
Suppose 4*v - 560 = -v. Suppose -v = -0*z - 4*z. What is the remainder when 53 is divided by z?
25
Suppose -r + 0 = -u - 4, -3*u = 4*r + 5. What is the remainder when 28 is divided by 117/12 + u/(-12)?
8
Calculate the remainder when 4/1 + (-2 - -24) is divided by 9.
8
Suppose -3 - 11 = -2*d + 5*p, 5*d = -5*p + 35. Calculate the remainder when 10 is divided by d.
3
Suppose -4*f - 13 - 3 = 0. Let i = 1 + f. Calculate the remainder when 40 is divided by i/(-2 + 5) + 15.
12
Suppose -3*w = -4*w + 9. Suppose y - w = 13. What is the remainder when y is divided by 12?
10
Suppose 4*w + 19 = y, -2*y + w = -w - 62. Calculate the remainder when y is divided by 10.
5
Suppose 0*g + 57 = 2*g + a, -4*g + 109 = -3*a. Suppose -3*x + 75 = 2*x. What is the remainder when g is divided by x?
13
Let p = 87 - -29. What is the remainder when p is divided by 9?
8
Let u = 6 + 3. Suppose 4*x = u - 1. Suppose -x*l + l = -5. Calculate the remainder when 13 is divided by l.
3
Suppose 2*o + 2*n - n - 107 = 0, -4*n = -20. What is the remainder when o is divided by 13?
12
Let x be -4 - -7 - 7*1. What is the remainder when 2 is divided by (-3)/(-4) + (-1)/x?
0
Let o(q) = -10*q - 2. Let y(l) = -l + 19. What is the remainder when o(-2) is divided by y(14)?
3
Suppose 5*h + 3*z = 47, 18 = h - 5*z + 3. Calculate the remainder when -6*-3*(-9)/(-6) is divided by h.
7
Let j(b) = -b**3 - 2*b**2 - 2*b + 2. Let h be j(-2). Suppose h*a - 12 = 2*a. What is the remainder when 3 is divided by a?
0
Suppose -5*b + 47 = -5*x - 173, -b + 59 = 2*x. Calculate the remainder when b is divided by 18.
13
Suppose 0 = 4*o - 112 - 60. Calculate the remainder when 83 is divided by o.
40
Let z = 2 - 5. Let p = z + 12. Suppose -11 = -n + p. What is the remainder when n is divided by 11?
9
Let d(s) = 4*s**3 + 7*s**2 - s - 1. Let w(l) = l**3 + l**2 - l + 1. Let y(g) = -d(g) + 3*w(g). Calculate the remainder when 3 is divided by y(-3).
0
Let g(k) be the second derivative of k**4/12 - k**3/3 - k**2 - k. Let w(h) = 5*h. Let o be w(1). What is the remainder when g(o) is divided by 7?
6
Suppose 0*j + 2*j - n = 22, -3*j = 3*n - 33. Let m = 612 - 592. Calculate the remainder when m is divided by j.
9
Let n = 145 + -85. Let i = -17 + n. Suppose 3*z + v = 32, -i = -0*z - 4*z - v. What is the remainder when 21 is divided by z?
10
Let p = 60 - 19. Calculate the remainder when p is divided by 11.
8
Suppose 7 = 4*f + 3. What is the remainder when f is divided by 1?
0
Let n = 107 - 101. What is the remainder when 29 is divided by n?
5
Let h(y) = -y**3 + 6*y**2 + 2*y. Let c = 154 - 145. Calculate the remainder when h(5) is divided by c.
8
Let f be 35*1/((-5)/(-2)). Let v = 3 + 2. Calculate the remainder when f + (-2)/(-2) + -2 is divided by v.
3
Let k = -39 + 70. Calculate the remainder when k is divided by 8.
7
Suppose -2*t - 5*w + 33 = 0, -2*w + 10 = -4*w. Let m = t - 2. What is the remainder when m is divided by 14?
13
Let t = 10 + 5. What is the remainder when (-1 - -1) + t/1 is divided by 8?
7
Let a = -153 - -100. Let v = a + 74. Let o(n) = -5*n + 1. What is the remainder when v is divided by o(-2)?
10
Suppose -95 - 87 = -13*z. What is the remainder when 24 is divided by z?
10
Suppose 13*u - 12*u - 143 = 0. What is the remainder when u is divided by 24?
23
What is the remainder when 4/16 + 1735/20 is divided by 22?
21
Let p = -17 - -38. Let q(r) = r**3 - 4*r**2 - 3*r + 8. Suppose 0 = -v - 1 + 7. Calculate the remainder when q(v) is divided by p.
20
Suppose -4*v + 5*i = -52, -9*i - 24 = -2*v - 6*i. What is the remainder when v is divided by 6?
0
Let z(f) = f**3 + 3*f**2 - f + 4. Let b be z(-4). Let p(n) = n**2 + 5*n - 6. Calculate the remainder when 69/2 - 2/(-4) is divided by p(b).
17
Suppose 5*o - 7*o = -62. Let z(k) = 60*k**2 + k + 1. Let w be z(-1). Let g = w - o. Calculate the remainder when g is divided by 15.
14
Let n(g) = -g**3 + 6*g**2 + 3. Let d(c) = -c + 10. Let w be (-2)/(-3) + (-16)/(-3). Calculate the remainder when d(w) is divided by n(6).
1
Suppose 5*x = 209 - 4. What is the remainder when x is divided by 7?
6
Suppose 9*s + 9*s - 288 = 0. Calculate the remainder when 30 is divided by s.
14
Suppose -5*p = -65 - 0. Suppose -p = -s - 0*g + g, 4*s - 17 = -3*g. Calculate the remainder when 14 is divided by s.
6
Let h(n) be the second derivative of -1/2*n**2 + 0 - 11/10*n**5 - 1/6*n**3 - 1/12*n**4 + n. Calculate the remainder when 62 is divided by h(-1).
20
Let j(m) = -m**3 - 6*m**2 - m - 3. Let v be j(-6). Suppose -v*q + 25 = 7. What is the remainder when q is divided by (2/(-3))/((-32)/144)?
0
Let i(c) = -c**3 - 24*c**2 - 23*c + 56. Calculate the remainder when i(-23) is divided by 20.
16
Suppose -18 - 54 = -2*q. What is the remainder when 71 is divided by q?
35
Let a(f) = -f**2 - 2*f + 13. What is the remainder when 39 is divided by a(-4)?
4
Suppose d = 46 + 55. What is the remainder when d is divided by 26?
23
Let f(j) = 3*j**2 - 3*j - 11. Let u be f(-13). Suppose -g = b - 107, 5*g = -4*b + b + u. What is the remainder when g is divided by 36?
35
Let m = -46 - -64. Calculate the remainder when 69 is divided by m.
15
Suppose -14 = -3*d + 61. Suppose 4*z = -5*a + 56, 5*z + 3*a + 2*a = 65. What is the remainder when d is divided by z?
7
Let s = 188 - 111. What is the remainder when s is divided by 26?
25
Suppose 5*j = 17 + 8. Let r(d) = 5*d - 7. Let s = 81 + -28. What is the remainder when s is divided by r(j)?
17
Let g be 2/(-6) + 2/(-3). Suppose 14*l = 18*l - 8. Calculate the remainder when l is divided by 6/(-9)*3*g.
0
Suppose 3*g + 0*g = 42. Calculate the remainder when 40 is divided by g.
12
Suppose 0 = -4*i + 117 - 25. What is the remainder when i is divided by 8?
7
Suppose -q + 24 = g + 2*g, -24 = -3*g - 3*q. Let s = -5 + g. Suppose -12 = -s*u + u. Calculate the remainder when u is divided by 4.
2
Suppose 4*w - 139 = -5*x + 325, 370 = 4*x + 2*w. Calculate the remainder when x is divided by 47.
45
Let r(o) = o**3 + 5*o**2 + 4*o. Let g be r(-4). Suppose 3*a = -g*a. Let j = a - -13. What is the remainder when 24 is divided by j?
11
Let q = -107 + 164. What is the remainder when q is divided by 20?
17
Let d = 24 - 21. Let r(b) = -b**2 + 10*b + 5. Let v be r(5). Calculate the remainder when v - d/9*3 is divided by 10.
9
Suppose -24 = -x - 3. Let s = 2 + x. What is the remainder when s is divided by 13?
10
Suppose -8*g - 13 = -9*g. Calculate the remainder when g is divided by 9.
4
Let i(j) = -j**2 + 12*j - 11. Suppose -y = 4*l - 16 - 8, -l + 3 = 0. Let q = y - 3. What is the remainder when 61 is divided by i(q)?
13
Suppose -m = -0 - 6. Let a = -16 + -2. Let w = 34 + a. Calculate the remainder when w is divided by m.
4
Let n = -171 - -217. Let j = 13 + -8. Suppose 61 + 19 = j*o. What is the remainder when n is divided by o?
14
Let s = 33 + -22. Let h be (-58)/(-18) + 4/(-18). Calculate the remainder when (0 - h)*62/(-6) is divided by s.
9
Suppose 0*d = 3*d - 51. Let s = 189 - 109. Suppose 4*b = 2*u - s, -b + 95 = 2*u - 2*b. Calculate the remainder when u is divided by d.
16
Let n(z) = 21*z**2. Let q be (11 + -2)*(-4)/6. Let w = -7 - q. Calculate the remainder when 62 is divided by n(w).
20
Suppose -y + 3*y = 4. Suppose 146 = 3*n + c, 2*n + y*c + 2*c = 114. What is the remainder when n is divided by 25?
22
Suppose 0 = 3*o - o - 20. Suppose