ose -u - 2 = -3*n. Calculate the remainder when 31 is divided by n.
9
Suppose j = 4*j + 18. Let g be j*(6/(-9))/1. Suppose -5*a + 14 = 2*b, 2 = -3*b + g*a - 0. Calculate the remainder when 5 is divided by b.
1
Suppose 3*o = -3 - 0. Let r be o/4 - 194/(-8). Suppose 3*h = 3*x - r, -4*x - 5 = -2*h - 33. What is the remainder when 10 is divided by x?
4
Let f = 10 + -10. Let a(t) = 5 + t + 12 + 9. What is the remainder when a(f) is divided by 14?
12
Suppose 7*m - 12*m = -40. Calculate the remainder when 34 is divided by (3/2)/(1/m).
10
Suppose 80 + 4 = 4*g. Suppose 107 - 37 = -5*s. Calculate the remainder when 88/(-6)*g/s is divided by 8.
6
Let k = 52 + -5. Calculate the remainder when k is divided by 7.
5
Suppose -2*t = 2*t - 3*w - 36, -5*w - 44 = -4*t. Suppose 3*p + 2*p = -70. Let f = -4 - p. What is the remainder when f is divided by t?
4
Suppose -4*i = -g, 2*i = i + 3. Calculate the remainder when 10 is divided by 1/(-6) + 38/g.
1
Let u(f) = 2*f - 3. Let o(q) = q - 1. Let b(p) = 5*o(p) - u(p). What is the remainder when 46 is divided by b(6)?
14
Let k(n) = 258*n**2 - 3*n + 4. What is the remainder when k(1) is divided by 52?
51
Suppose 151 - 31 = 4*f. Suppose -f = -5*k + 5. What is the remainder when 12 is divided by k?
5
Let h = -18 - -113. What is the remainder when h is divided by 16?
15
Let o(z) = 2*z**2. Let s be o(-1). Let n be (-114)/(-27) - s/9. Let x = n - -28. What is the remainder when x is divided by 17?
15
Suppose 4*k = -c - c + 102, 92 = 4*k + 4*c. Let y = -56 - -66. What is the remainder when k is divided by y?
8
Suppose 5*i + 4*h = 127, -3*h = -2*i - 2*i + 83. Calculate the remainder when 43 is divided by i.
20
Let j(d) = -d + 6. Suppose -12 = -3*x - 2*p - 1, -3*x = -3*p - 36. Let r be j(x). Calculate the remainder when 16 is divided by 4 + (0 - -1 - r).
4
Let r(y) = -y**3 - 2*y**2 - 2*y + 1. Calculate the remainder when r(-3) is divided by (6/(-5))/(6/(-30)).
4
Suppose 2*t = -k + 32, 12*k - 41 = -3*t + 7*k. Let y = -105 - -154. Calculate the remainder when y is divided by t.
15
Suppose 5*h = 5*u - 35, -u - 4*h = -0*u + 13. Suppose -3*b + b = 4*n - 6, u*b - 5*n + 35 = 0. Let a = b - -7. Calculate the remainder when 5 is divided by a.
1
Let p(w) = w**2 - 8*w + 8. Calculate the remainder when p(11) is divided by 11.
8
Suppose 33 = 2*a - 3*f, f - 102 = -5*a + 2*f. Let k = a + -5. Calculate the remainder when 30 is divided by k.
14
Let x(r) = 2*r**2 - r - 1. Let h be x(-1). Let z(f) = f**2 - 10*f + 15 - 7*f**h + 3*f**2 + 4*f**2. What is the remainder when 28 is divided by z(10)?
13
Let s be ((-2)/3)/(6/(-9)). Suppose 5*a - s + 91 = 0. Let h = a - -26. What is the remainder when 22 is divided by h?
6
Let o = 14 + -10. Calculate the remainder when o is divided by 2.
0
Suppose -2*i + 54 = -0*i. Let a = 5 + -3. What is the remainder when i is divided by (1*-30)/(a*-1)?
12
Let v = -39 + 94. Calculate the remainder when v is divided by ((-19)/(-5))/((-1)/(-5)).
17
Suppose -i + 2 = -5*w, i + 5*w - 6 = -2*i. Suppose -2*y = 3*a - 6, -2*y - 2*y + 8 = 4*a. Calculate the remainder when i is divided by a.
0
Suppose i - 48 = -7*h + 2*h, -4*h = 5*i - 198. Calculate the remainder when i is divided by 13.
12
Let x = -13 - -31. Suppose 18*l + 6*l = 1656. Calculate the remainder when l is divided by x.
15
Calculate the remainder when 79 is divided by 4/(-18) + (-1092)/(-54).
19
Suppose -k - 10 = 2*k + 5*g, -3*k - 2*g + 5 = 0. Calculate the remainder when 23 is divided by k.
3
Suppose 0 = -4*z + 4*r + 56, r - 16 = -3*z + 14. Calculate the remainder when 40 is divided by z.
7
Suppose -20 = -3*n + 4. Let f = 39 - 57. Calculate the remainder when (-1)/(-6) - 267/f is divided by n.
7
Suppose -2*g - g + 375 = 0. What is the remainder when (-6)/9 - g/(-3) is divided by 0 + 12 + 7 + -8?
8
Let u(d) = d**3 + 6*d**2 + 4*d + 3. Let v be u(-3). Suppose -3*p + v = 5*m, -p + 4*m = -2*p + 13. What is the remainder when p is divided by 1?
0
Suppose c - i + 0 = 7, 0 = 2*c - 3*i - 15. Suppose 0 = 3*t - 2*m - c, -3*t + 0*m + 15 = m. Calculate the remainder when 6 is divided by t.
2
Let j be 1 + 21/(9/(-3)). Calculate the remainder when ((-8)/3 + 0)*-6 is divided by j*2*9/(-12).
7
Let t = 138 - 85. What is the remainder when 105 is divided by t?
52
Let r(l) = 2*l**2 - 9*l + 8. Let y = 88 - 50. Calculate the remainder when y is divided by r(5).
12
Let l = -17 + 42. Suppose 5*d - l = -0*d. Let v = d + 11. What is the remainder when 30 is divided by v?
14
Suppose 0 = -10*l - 67 + 497. Calculate the remainder when l is divided by 23.
20
Let p(j) = 5*j + 3. Let k be p(-3). Let z be 2/6 - 32/k. Suppose -2*w - 8 = 2*u - 4*u, -z*w = 0. Calculate the remainder when u is divided by 2.
0
Let o(f) be the third derivative of 41*f**5/60 + f**4/24 + f**3/6 + 2*f**2. What is the remainder when o(-1) is divided by 14?
13
Let o(x) = -x**2 + 10*x + 3. Let k(a) = a**2 - 4*a - 3. Let m be k(6). What is the remainder when 23 is divided by o(m)?
11
Let c(n) = 4*n**2. Let m be c(1). Let o(z) be the third derivative of -z**6/120 + z**5/12 + z**4/8 + z**2. Calculate the remainder when o(m) is divided by 10.
8
Suppose 33 = 2*c + c. Suppose -9*s = -10*s + 41. What is the remainder when s is divided by c?
8
Let y = -4 - -1. What is the remainder when 34 is divided by (y - 1)/(-2)*9?
16
Suppose 45 = -5*p - 3*g, -3*g = -p - 2*g - 1. Let l be p/5*20/(-8). Let o = 5 - l. What is the remainder when o is divided by 1?
0
Suppose 3*b - 60 - 9 = 0. Let o = -1 - 18. Let p = o + 27. What is the remainder when b is divided by p?
7
Suppose -c + 2 = -2*c - 2*s, 4*s + 4 = 0. Suppose c = -h - 3*h. Suppose h*z + z - 12 = 0. Calculate the remainder when 22 is divided by z.
10
Let n = -7 + 12. Suppose n*l = -1 + 16. Suppose -l*t - t = -4*j - 4, -5*j - 4*t = -22. Calculate the remainder when 2 is divided by j.
0
Suppose 0 = -6*v + 11*v - 15. Suppose -3*r + 5*u = -61, 3*r + 2*r - 91 = v*u. What is the remainder when r is divided by 9?
8
Let a be 3 + (-3 - -3) + -3. Suppose a*b + 4*c + 30 = 2*b, -b + c + 15 = 0. What is the remainder when 28 is divided by b?
13
Suppose -4*w + 2*w = -38. What is the remainder when 37 is divided by w?
18
Suppose -2 = a - 8. Suppose a + 32 = 3*r + 5*m, 4*r - 2*m - 42 = 0. Calculate the remainder when 21 is divided by r.
10
Let u be 2/14 - 1/7. Suppose m - 4*m + 69 = u. Suppose 0 = 3*x + 5*z - 39, -3*z - 8 + 21 = x. What is the remainder when m is divided by x?
10
Let k(g) = 2*g + 18. Suppose -5*h = 5*y, -y = 3*h - 4*y + 30. Let z = 10 - h. Calculate the remainder when z is divided by k(-5).
7
Let m = 108 - 58. Let q = 7 - 4. Suppose 6*r - q*r - 78 = 0. Calculate the remainder when m is divided by r.
24
Suppose -4*f - 5 = -5*f. Let h = 10 - f. What is the remainder when 14 is divided by h?
4
Let z be (3 + -6)*(3 - 2). Let h be z*1 - (-12)/6. What is the remainder when (-55)/(-2) - h/(-2) is divided by 14?
13
Suppose u + 33 - 82 = 0. Calculate the remainder when u is divided by 17.
15
Let t(b) = b**2 - 20*b + 38. What is the remainder when 33 is divided by t(19)?
14
Let j(y) = -y**2 + y. Let g be j(-1). Let d(f) be the first derivative of 2*f**3/3 - f**2/2 + f + 40. What is the remainder when 19 is divided by d(g)?
8
Suppose 5*y - 4 = 1. Let q(c) = c**3 + 5*c**2 + 4*c. Let l be q(-4). Suppose -3*g + 103 - y = l. Calculate the remainder when g is divided by 18.
16
Suppose -99 = q - 4*q. Suppose -2*g - g + q = -3*s, 5*g = 4*s + 52. Calculate the remainder when g is divided by 5.
3
Let f = -1 + 21. Suppose -4*i + 80 = 3*g + 2*g, 4*i + f = 0. Let b(j) = 18*j + 4. Calculate the remainder when b(3) is divided by g.
18
Let r be 134 - ((-2)/1 - -1). Suppose -4*s - 22 = -6*s. Calculate the remainder when (12/9)/(6/r) is divided by s.
8
Suppose -3*t - 261 = -12*t. Calculate the remainder when t is divided by 9.
2
Calculate the remainder when 31 is divided by 570/36 + (-2)/(-12).
15
Calculate the remainder when 19 is divided by (6/(-7))/(1/(-7)).
1
Let g = 86 - -143. Calculate the remainder when g is divided by 46.
45
Let b be 26/4 - (-18)/(-12). Suppose -b*r = -4*m + 88, 0 = m + 2*m - 4*r - 67. What is the remainder when m is divided by (-3 + 1)/(4/(-18))?
8
Let k be 1 - (0/1 + 1). Let f = 3 + k. Calculate the remainder when 1/(-2) - (-68)/8 is divided by f.
2
Let m(d) = -d**2 + 8*d + 6. Let h be m