*m + 20. Suppose -z - 10 = -n, -2*n - 3 = m*z - 9. What is the remainder when n is divided by 3?
2
Let a(i) = -i**2 + 3*i - 3. Suppose 0*o - 2*o + 8 = 0. Let j be a(o). Let d = j + 24. Calculate the remainder when d is divided by 6.
5
Let z(q) = 2*q**2 + 4*q**2 + 5*q + 0*q**2 - 5*q**2. Let x be z(-5). Suppose 3*w + 81 = 2*v + v, -w + 1 = x. What is the remainder when v is divided by 10?
8
Let z = 1 + 12. Suppose 0 = q - 5*q + 20. What is the remainder when z is divided by q?
3
Suppose 4*g = 4*u - 10 + 2, u = -4*g + 12. Let y = u + -2. What is the remainder when 3 is divided by y?
1
Suppose -3 + 0 = -q. Calculate the remainder when q is divided by 2.
1
Let n(r) = r**2 + 8*r + 4. Let d be n(-6). Let a = 0 - d. What is the remainder when 22 is divided by a?
6
Suppose -2*h + 4*q - 1 = -17, -2*h - 2*q = 8. Suppose -76 = -h*l - 4*l. Calculate the remainder when 56 is divided by l.
18
Let h(k) = -k**2 - 10*k + 3. Let t be (1 - 1 - 2) + -6. Calculate the remainder when h(t) is divided by 3*-14*2/(-12).
5
Let d(l) = -8*l + 1. Let t(a) = -6*a + 8. What is the remainder when t(-7) is divided by d(-2)?
16
Suppose 23*u + 204 = 1561. Calculate the remainder when 176 is divided by u.
58
Let k be (0 - 0)*(-2)/4. Suppose 4*w + 2*i = 40, 4*w + k*i = 5*i + 26. Calculate the remainder when 16 is divided by w.
7
Suppose 4*b - 26 = 5*m, -m = -0*m + 4*b + 10. Let n = 4 - m. What is the remainder when n is divided by 7?
3
Let q = 13 + -2. Calculate the remainder when q is divided by 4.
3
Let p(u) = u**2 - 5*u + 1. Let l be p(5). Let a(j) = 7*j**2 - j + 1. What is the remainder when a(l) is divided by ((-2)/3)/(2/(-12))?
3
Let s = 124 + -75. What is the remainder when 97 is divided by s?
48
Let h = 15 + -2. Suppose -8 = -m - 3*m. What is the remainder when m/((-3)/((-222)/4)) is divided by h?
11
Suppose t = 2*t + 2*j - 17, 0 = 2*t - 5*j - 61. Calculate the remainder when 67 is divided by t.
21
Suppose -4 = 3*z - 10. Calculate the remainder when 5 is divided by z.
1
Let n(x) = x**2 + 9*x - 15. Let w be 22/2*(2 + -3). Calculate the remainder when 33 is divided by n(w).
5
Suppose 29 = m + 20. Calculate the remainder when 44 is divided by m.
8
Suppose -3*n = 9, -n - 1338 = -6*c + c. What is the remainder when c is divided by 45?
42
Let m = 53 - -42. Let d = 164 - 140. Calculate the remainder when m is divided by d.
23
Let s = 4 - -13. Calculate the remainder when 63 is divided by s.
12
Suppose -4*o + 4*i + 20 = 0, -4*o = -2*o + 5*i + 18. Suppose 22 - o = 3*s. Calculate the remainder when s is divided by (-2)/(3/12*2 + -1).
3
Suppose -4*g + 196 = 19*h - 15*h, 0 = 2*h + 5*g - 95. Let r = 32 + -20. Let y = 1 + r. Calculate the remainder when h is divided by y.
11
Suppose 0 = -3*y + 172 - 10. Suppose -5*x + 2*x + y = 0. Suppose 5*k - 176 = -5*q + 2*q, 4*k = -3*q + 142. What is the remainder when k is divided by x?
16
Let m(f) = -5*f**2 + f + 1. Let h be m(-2). What is the remainder when (1/2)/(4/424) is divided by (h/(-9))/(2/12)?
11
Suppose 0 = 2*k - 3*l - 28, 4*k - 3*l - 70 = -k. Suppose 2*x = -0*x + k. What is the remainder when x is divided by (-3)/(-3)*16/4?
3
Let o(g) = -g**2 - 27*g + 47. What is the remainder when o(-24) is divided by 15?
14
Let u = -6 - -5. Let i = u + -1. Calculate the remainder when 6 is divided by (1 + (i - 3))/(-1).
2
Suppose 3 - 19 = -4*t. Suppose 10 = 2*z + t. What is the remainder when (-3)/(-2)*10/z is divided by 2?
1
Let i = 24 - 6. Let k = 2 + 5. Calculate the remainder when i is divided by k.
4
Suppose 3*h - 3*f + 2 = 65, 5*h = -f + 93. Let k = 46 + -11. Calculate the remainder when k is divided by h.
16
Suppose 5*g = -s + 37 - 3, 2*s + 9 = g. Suppose -5*z + z + 3*d = -45, 9 = -3*d. Calculate the remainder when z is divided by (-1)/(-1)*(g + -2).
4
Suppose 64 + 56 = 2*i. What is the remainder when 239 is divided by i?
59
Suppose 2*y = -5*u + 15, 0 = u - 6*u + 3*y - 10. What is the remainder when 3 is divided by u?
0
Suppose 4*s = 3*k - 70, 6*s = 5*s + 5. What is the remainder when 59 is divided by k?
29
Suppose -1 + 6 = 5*h. Suppose 31 = 2*l - h. What is the remainder when 30 is divided by l?
14
Suppose 0*k - 3*k + 144 = -m, -5*k - 5*m = -260. What is the remainder when k is divided by 13?
10
Suppose q = -m - 8, -6*m = -q - 2*m + 2. Let a = q + 15. Suppose -399 = -9*f - 102. What is the remainder when f is divided by a?
6
Suppose -4*v = -2*v - g + 24, -5*v = -5*g + 70. What is the remainder when (-6)/v + (-284)/(-10) is divided by 10?
9
Suppose 4*m + 4*x - 30 = 18, -x = 5*m - 40. What is the remainder when 12 is divided by m?
5
Suppose 4*u + u = 45. What is the remainder when u is divided by (-2)/7 - 37/(-7)?
4
Suppose -4*a - 5*o + 78 = 0, a = -a - o + 36. What is the remainder when a is divided by (9 + -2)*6/7?
5
Let k(b) = b**3 + 3*b**2 - 5*b - 2. Let w be k(-4). Suppose w*l + 0*v - v - 23 = 0, -4*v + 16 = l. What is the remainder when l is divided by 7?
5
Suppose -5*s + 4*o + 222 = 0, 0*o + 5*o - 240 = -5*s. Let n be -2*(2 + (4 - 3)). What is the remainder when s is divided by n/4*96/(-9)?
14
Let i be (-8)/(-20)*(-6 + 1). Let o = 8 + i. Suppose -3*h - 84 = -o*h. What is the remainder when h is divided by 10?
8
Calculate the remainder when (392/16)/(2/4) is divided by 25.
24
Suppose -52 = p - 5*p. What is the remainder when 1 - (-438)/9 - (-38)/(-57) is divided by p?
10
Calculate the remainder when (-845)/(-39) - (-4)/(-6) is divided by 11.
10
Let u(z) = 6*z - 3. Calculate the remainder when 33 is divided by u(2).
6
Let u(l) = 11*l**3 + 4*l**2 - 20*l + 29. Let r(n) = -4*n**3 - n**2 + 7*n - 10. Let q(v) = 8*r(v) + 3*u(v). What is the remainder when q(-5) is divided by 2?
0
Let r(c) = c**2 - 2*c + 7. Calculate the remainder when 47 is divided by r(3).
7
Let q(s) = 23*s**2 - 4*s + 4. Let a(p) = 24*p**2 - 5*p + 5. Let f(i) = -5*a(i) + 6*q(i). Let b = 5 + -4. Calculate the remainder when 34 is divided by f(b).
16
Let i = -97 + 126. Calculate the remainder when 172 is divided by i.
27
Suppose 3*m - 2*z + 12 = 0, 2*m = 6*m - 4*z + 16. Let b(i) = -3*i - 4. What is the remainder when 13 is divided by b(m)?
5
Let q = -4 - -6. Suppose 0*m - 3*m + 5*f + 71 = 0, -29 = -m - f. Calculate the remainder when m is divided by (-1 + 2 - q)*-7.
6
Let x = 0 - -3. Suppose -x*t - 2*v + 18 = -7*v, 2*t - 19 = v. Suppose 7*p = 4*p + 63. Calculate the remainder when p is divided by t.
10
Calculate the remainder when 14 is divided by 6/2 - (1 - 4).
2
Let x be -7*(-2 - (0 - 1)). Let y = 10 - x. Suppose 0 = -h + y*w + 2, 0*h - 2*w + 12 = h. Calculate the remainder when 23 is divided by h.
7
Suppose -2*v + 6*v - 32 = 0. Calculate the remainder when 21 is divided by v.
5
Suppose d + 5*f - 555 = 6*d, -4*d - f - 434 = 0. Calculate the remainder when -5 + 2 + 1 - d is divided by 27.
26
Suppose -5*f + 52 = 3*l - 0*f, -2*f + 1 = -l. What is the remainder when 34 is divided by l?
7
Let f = 21 - 17. Let a = f + 8. Calculate the remainder when a is divided by 7.
5
Let q be (3 - 19)*5/5. Let w = 19 + q. Calculate the remainder when 5 is divided by w.
2
What is the remainder when 40 is divided by ((-2 - -20)/6)/1?
1
Let b(h) = 2*h - 9. Let w = 10 + -4. Let l be b(w). Suppose 20 = 4*i + 2*u, l*i - 4*u = -2*u + 29. What is the remainder when 13 is divided by i?
6
Suppose -3*y - 7 = -1. Let u(i) = -i**3 - i + 1. What is the remainder when 43 is divided by u(y)?
10
Let a(m) be the third derivative of m**5/60 + m**4/12 - m**3/2 - 5*m**2. Calculate the remainder when 33 is divided by a(3).
9
What is the remainder when (37 - (1 + -1)) + 0 is divided by 3/(-6)*(1 - 27)?
11
Suppose -3*t = -3 - 33. Let a(h) = -h**3 + 2*h**2 + 4*h + 1. Let c be a(3). Let p = t + c. Calculate the remainder when p is divided by 9.
7
Let q = 9 + -13. Let a(p) be the first derivative of -p**2/2 - p - 5. What is the remainder when a(q) is divided by 1?
0
Suppose -4*f - d + 32 = 8, 0 = -5*d. What is the remainder when 10 is divided by f?
4
Let u(a) = 0*a**2 - 3 - 1 - a + 0*a**2 + 2*a**2. What is the remainder when u(-5) is divided by 13?
12
Suppose 3*u + 3*n = 123, 4*u - 43 = -3*n + 117. What is the remainder when u is divided by (-3)/(84/(-26) + (3 - 0))?
11
Calculate the remainder when 30/(-9)*(-60)/8 is divided by 13.
12
Let z(q) = q**3 + 6*q**2 - 9*q + 4. Calculate the remainder when 69 is divided by z(-7