 = -24 - -62. Let r = -22 + q. Calculate the remainder when r is divided by 9.
7
Suppose 2*m = 5*m - t - 129, -3*m = -4*t - 138. What is the remainder when m is divided by 22?
20
Let g(f) = f**3 + 4*f**2 - 6*f - 3. Let t be g(-5). Let d be (-1 - t/(-4))*-14. Let k = -5 + d. What is the remainder when 3 is divided by k?
1
Let v be ((-1)/2)/((-1)/4). Suppose 22 = b + v. Suppose -b = -5*j, -4*j = 2*g - j - 74. Calculate the remainder when g is divided by 11.
9
Let g(k) = 13*k - 3. Let t(d) = -14*d + 3. Let b(r) = 7*g(r) + 6*t(r). Let a be 12/(-16)*-4 + -1. What is the remainder when 32 is divided by b(a)?
10
Suppose 78 + 30 = 3*r. What is the remainder when r is divided by 1 - 0 - (9 + -27)?
17
Let h(n) = n**3 - 3*n**2 + n. Let q(p) = p + 5. Let i be q(-3). What is the remainder when 9/i - 2/(-4) is divided by h(3)?
2
Suppose 128 + 122 = -3*h - 4*u, 0 = 3*h + u + 256. Let w = -51 - h. Calculate the remainder when w is divided by 9.
8
Let s = 21 - 13. Suppose b = 5*b - 56. Calculate the remainder when b is divided by s.
6
Suppose -5*p = 5*u - 3*u - 365, -510 = -3*u + 5*p. What is the remainder when u is divided by 45?
40
Let i = -2 + 1. Let y be 156/9 - i/(-3). Let d = y + 15. What is the remainder when d is divided by 17?
15
Suppose -3*s = -5*p - 92, 4*s + 5*p - 198 = -52. Let h = 9 + 3. Calculate the remainder when s is divided by h.
10
Let n(w) = w**3 + 13*w**2 + 13*w + 26. Calculate the remainder when 24 is divided by n(-12).
10
Let l = 47 - 20. Suppose 0 = 16*m - 15*m - 51. What is the remainder when m is divided by l?
24
Let j = -88 - -98. Calculate the remainder when 56 is divided by j.
6
Let a(n) = n**2 + n. Let x be -2*1/2 + -2. Let u = -5 - x. Calculate the remainder when 5 is divided by a(u).
1
Let p be 4 - (2 - (3 + -2)). Let m(d) = -3*d**3 - 3*d**2 - 2*d. Let w be m(-2). Suppose w = p*x - x. Calculate the remainder when 22 is divided by x.
6
Let q(y) = -y**2 + 5*y + 3. Let f be q(5). Suppose -f*c - 3 = -48. Calculate the remainder when c is divided by 9.
6
Suppose 4*b - 23 = -3*u, -2 = 4*b - u - 5. Let s(z) = -4 - 4*z + 0*z**b - z**2 - 7*z + 2*z. Calculate the remainder when 28 is divided by s(-7).
8
Let f = 103 + -69. What is the remainder when (3 + f/(-4))*-6 is divided by 9?
6
Suppose -3*p = -3*o - 0*o + 66, -2*o + 48 = -4*p. Let l = 7 - -4. What is the remainder when o is divided by l?
9
Let p(x) = -x - 10. Let f(i) = -3*i - 29. Let j(c) = -6*f(c) + 17*p(c). Suppose 2 = 4*k - 10. What is the remainder when j(0) is divided by k?
1
Let h = -106 - -149. Calculate the remainder when h is divided by 11*10/(8 + -3).
21
Suppose -2*k = u - 3*u - 42, -2*k = 5*u - 35. What is the remainder when 76 is divided by k?
16
Let z(v) = 2*v**2 + 4*v + 1. Calculate the remainder when 19 is divided by z(-3).
5
Suppose 0*p + 15 = 5*p. Suppose -p*w - 3*m + m + 43 = 0, 4*w - m - 39 = 0. Calculate the remainder when 41 is divided by w.
8
Let w(p) = -122*p - 7. Calculate the remainder when w(-1) is divided by 17.
13
Let j = 30 + -5. What is the remainder when j is divided by 14?
11
Let s(g) = 6*g + 2. Let r be s(4). Let d be r/6 + (-2)/(-3). Suppose 3*q = -d*x + 54, -5 = -3*q + 4. What is the remainder when x is divided by 5?
4
Let p(o) = -9*o - o + 4*o - 2. What is the remainder when p(-5) is divided by 6?
4
Suppose 0 = j - 2, -j = 3*y - 5*j - 31. Suppose 7 = 2*f - 39. What is the remainder when f is divided by y?
10
Let v = 18 - 4. Suppose k = 2, 7 = 3*a + 2*k - 21. Calculate the remainder when v is divided by a.
6
Suppose 5*w + 17 = -y, 4*y - 1 + 5 = -4*w. Calculate the remainder when y/((-3)/(5*-9)) is divided by 23.
22
What is the remainder when 34 is divided by (13/4 - 1)/(7/28)?
7
Let g be (-1)/2*-2 - -39. Suppose 2*x + 2*x - 52 = 0. Calculate the remainder when -1 + g + (3 - 4) is divided by x.
12
Let u(l) = -l**3 + 7*l**2 - 11. Calculate the remainder when 153 is divided by u(5).
36
Suppose -12 = 4*x + 4*r, -5*x + x - 5*r - 13 = 0. Suppose -5*z - 3*s + 10 = 2*s, -5*z + 5*s + 30 = 0. What is the remainder when z is divided by (-5)/x*28/35?
0
Suppose 0*u - 5*s = 3*u - 214, 360 = 5*u + 5*s. Suppose -5*w + 4*v - 16 + u = 0, -w + 2*v + 9 = 0. What is the remainder when 23 is divided by w?
10
Suppose 0 = a + 5*f - 0*f - 26, 3*f = 2*a - 78. Suppose -3*j - u = -35, -2*u - 85 = -5*j + 3*u. What is the remainder when a is divided by j?
10
Let i(q) = -2*q. Let b be i(-1). Let a(j) = 4*j**3 - 4*j**2 + 3*j. Let s be a(b). Calculate the remainder when (-555)/(-33) + 4/s is divided by 5.
2
Let h = -7 + 9. Let z = 1 + 3. Calculate the remainder when z is divided by h.
0
Let d = 3 - 1. Suppose -p - 3*p + 8 = 0. Suppose p*b - 14 = d. Calculate the remainder when 22 is divided by b.
6
Calculate the remainder when 9 is divided by (-6)/(-5)*35/14.
0
Let u = 8 - 6. Let a(q) = -q**3 + q. Let g(p) = -5*p**3 + 4*p**2 + 9*p + 3. Let v(z) = -4*a(z) + g(z). Calculate the remainder when v(5) is divided by u.
1
Suppose 2*k + 5*i - 2*i - 45 = 0, 0 = -4*k + i + 83. Suppose -s - 2*s = -k. Let j = -19 + 31. What is the remainder when j is divided by s?
5
Let o = -1 + 3. Suppose i + o = 4*m - 3, -71 = -5*i - 4*m. Suppose -10 = -i*v + 6*v. What is the remainder when v is divided by 1?
0
Suppose z = -6 + 8. Let r be 2/4*-2 - -7. Suppose -4*n - 2*f = -14, 0 = r*n - n - 4*f - 24. What is the remainder when n is divided by z?
0
Let c be 1 - (-4 + 2 + -1). Suppose -c*m - i + 25 = 0, 5*m = 2*i + 58 - 17. What is the remainder when m is divided by 3?
1
Let x(b) be the second derivative of -b**5/20 + b**4/3 + 5*b**3/6 - 3*b**2/2 - b. Let n be x(5). What is the remainder when 2 is divided by (-1)/n + 6/9?
0
Let w(c) be the third derivative of c**6/120 - c**5/60 - c**4/24 - c**3/3 - 2*c**2. What is the remainder when w(3) is divided by 8?
5
Suppose -3*s + 6 = -3*b, -6*b + 26 = 4*s - b. Suppose -g = -s*w + 108, -3*w - g + 126 = 2*w. Calculate the remainder when w is divided by 14.
12
Let s = 1 - 1. Suppose 8*n - 4*n - 28 = s. What is the remainder when 27 is divided by n?
6
Let y(i) = -6*i**3 - 3*i - 1. Suppose x = 3*x + 4. Calculate the remainder when y(x) is divided by ((-12)/5)/(2/(-15)).
17
Suppose 0 = -l - 3*p + 10, -3*p = 2*l - 8 - 3. Calculate the remainder when l/(1*(-2)/(-68)) is divided by 12.
10
Suppose 2*l = -8, 0*a = -3*a - 2*l + 97. What is the remainder when a is divided by 12?
11
Let l = -76 - -80. Calculate the remainder when (10 + 0/(-2))/1 is divided by l.
2
Suppose 5*x - 3*x - 8 = 0. Suppose 18 = -x*p + 238. Calculate the remainder when p is divided by 14.
13
Let t = -7 + 17. Suppose -5*j = -3*s + 42, j = -s + 6*j + 4. Calculate the remainder when s is divided by t.
9
Let o(k) = 3*k + 21. Let z be o(0). Suppose -b = -z - 0. Calculate the remainder when b is divided by 12.
9
What is the remainder when 63 is divided by (-34 - -1)*(-2)/2?
30
Let x = 27 - 10. Let w = 28 - x. Calculate the remainder when 31 is divided by w.
9
Let l = -27 - -38. Calculate the remainder when 32 is divided by l.
10
Suppose -5*i = 55 + 50. Let r = -6 - i. Calculate the remainder when r is divided by 4.
3
Let j(a) = -a**2 + 7*a - 2. Let r be j(6). Suppose -3*h - 4 = -1, r*h + 8 = q. What is the remainder when 9 is divided by q?
1
Let g(j) be the third derivative of -j**6/120 - j**5/12 + j**4/12 + 2*j**3/3 + 2*j**2. Calculate the remainder when g(-6) is divided by 10.
8
Suppose -20 = 70*u - 74*u. Suppose 5*x - 55 - 10 = 0. What is the remainder when x is divided by u?
3
Let i be 4/14 + 14/(-49). Suppose i = 5*n + 4*f - 11 - 6, -3 = 3*n - 2*f. Calculate the remainder when 2 is divided by n.
0
Let p(g) = g**2 + 3*g - 6. Let t be p(-5). Let r = 5 + -3. Suppose 0 = x - r*z - 11, -x + 4 = z - t. Calculate the remainder when x is divided by 5.
4
Let d = -2 + 6. Suppose 2*c - 16 = -d*b, 5*c - b = -0*b + 18. Suppose -u - c*u + 90 = 0. Calculate the remainder when 35 is divided by u.
17
Let b(n) = -n**2 + 5*n + 5. Let l be b(5). Suppose 181 = 5*c - 4*h, -l*c + 0*h = -h - 184. Let s = 19 - 9. Calculate the remainder when c is divided by s.
7
Suppose -5*b - 2*w = -30, 3*b = -b + w + 11. Suppose -b = -2*l + 4. Suppose -4*d + 3*d = -2. Calculate the remainder when l is divided by d.
0
Let x be 2 - (-4 + 13)/(-3). Let v(g) = 9*g - 8. Calculate the remainder when v(x) is divided by 10.
7
Let y(g) = 4*g. Let v b