t w = -35 - -24. Let o = w - -27. Calculate the remainder when 45 is divided by o.
13
Let v be 12/(-20)*10/(-2). Suppose n + 5 - v = 0. Let b = n - -5. Calculate the remainder when b is divided by 2.
1
Suppose 0 = 3*v - 14 - 13. Let l = v - 7. What is the remainder when 3 is divided by l?
1
Suppose 2*a + 14 = -v + 42, 5*a + 3*v = 71. Calculate the remainder when 284 is divided by a.
11
Let o(l) = -3*l. What is the remainder when 34/2*1/1 is divided by o(-3)?
8
Let w(x) = -x**3 - x**2 + x + 8. What is the remainder when w(0) is divided by 3?
2
Let b(a) = -a**3 + 6*a**2 + 15*a - 1. Calculate the remainder when b(7) is divided by 14.
13
Suppose -184 - 103 = -7*u. What is the remainder when u is divided by 11?
8
Suppose 0 = 2*v + 3*t - 3 - 2, -3 = v - 4*t. Let m = 1 - v. Suppose -2*g + m*g = -38. What is the remainder when g is divided by 10?
9
Suppose 5*z = 3*q + 34, 11*q + 10 = -z + 6*q. Suppose -4*o - 5*w = -134, 0 = -z*o + 4*w - 0*w + 147. Calculate the remainder when o is divided by 16.
15
Suppose t = 2*t - 4. Let p = t + -2. Suppose 6*m - 84 = -4*j + m, 5*j - p*m = 72. What is the remainder when j is divided by 6?
4
Let k(q) = 17*q**3 - q**2 + q + 1. Let i be k(-1). Let v = i - -33. What is the remainder when 59 is divided by v?
14
Let v(k) = k**3 + 7*k**2 - 6. Let u be v(-7). Let c = u - -10. Calculate the remainder when c is divided by 27/(-6)*(-4)/6.
1
Let g(a) = a**3 + 15*a**2 + a + 29. Let s be 2 - -2 - (1 + 0). Suppose 8 = 4*o - s*o. What is the remainder when g(-15) is divided by o?
6
Calculate the remainder when 62 is divided by -1*(-9)/((-36)/(-64)).
14
Let o(b) = b**3 + 9*b**2 + 2*b + 8. Let t be o(-9). Let v = 25 - t. Calculate the remainder when v is divided by 12.
11
Let m(u) = -u + 11. Calculate the remainder when 86 is divided by m(-11).
20
Let s = -18 + 26. Suppose 0 = 9*y - 43*y + 102. What is the remainder when s is divided by y?
2
Suppose y = -4*y + 50. Calculate the remainder when 21 is divided by -24*(-3 + y/4).
9
Let c be 8/44 + 819/33. Let m = c + -16. What is the remainder when 33 is divided by m?
6
Suppose 0 = 2*x + 7 - 131. Let q = x - 37. Calculate the remainder when q is divided by 13.
12
What is the remainder when 94 is divided by (-5)/(-5) + 7 + 1 + -1?
6
Let k(m) = 9*m**2 + m - 1. Let d = 2 + -3. Calculate the remainder when (1 + d - 0) + 20 is divided by k(-1).
6
Let r = -11 - -18. Calculate the remainder when 11 is divided by r.
4
Let f(n) = n**2 - n + 17. Calculate the remainder when 84 is divided by f(0).
16
Let r(w) = -15*w + 1. Suppose -9*k + 230 = -4*k. What is the remainder when k is divided by r(-1)?
14
Suppose -2*b = 0, 12 = -g + 4*g + b. Suppose g + 0 = 4*n. Calculate the remainder when 2/5 + (-8)/(-5) is divided by n.
0
Suppose 2*u + 2*u = 2*r + 106, -u + 2*r + 34 = 0. Calculate the remainder when u is divided by 5.
4
Suppose -s = -5*s + 48. Calculate the remainder when 21 is divided by s.
9
Suppose -5*l + 382 = 2*z, l - 120 + 41 = -3*z. What is the remainder when l is divided by 22?
10
Suppose 5*a - 2966 = 11494. Let x be a/39 - (-4)/(-26). Suppose -x = 4*z - 234. What is the remainder when z is divided by 14?
12
Let u(b) = -b**2 - 8*b - 6. Let c(h) = -3*h**3 + h**2 + 2*h + 2. Calculate the remainder when c(-2) is divided by u(-5).
8
Let y(p) = 2*p**2 - 11*p - 17. What is the remainder when y(10) is divided by 15?
13
Let v(r) be the first derivative of -2*r**2 - r - 1. Suppose 26 + 36 = 2*h. What is the remainder when h is divided by v(-3)?
9
Let g(y) = 4*y**2 + y. Let d = 2 + -1. Suppose -3*t + 0*t + 12 = 3*z, 0 = t - 2*z - 16. What is the remainder when t is divided by g(d)?
3
Let j be 18*(-3 - 38/(-3)). Suppose 5*p - 296 = -4*r - 91, j = 3*r - 3*p. What is the remainder when r is divided by 19?
17
Suppose -3*r - 10*i + 12*i + 98 = 0, 2*i - 22 = -r. Calculate the remainder when 57 is divided by r.
27
Let m = 4 + 11. Suppose -m = 2*x - 5*x, r - 5*x = 50. What is the remainder when r is divided by 19?
18
Suppose 7 = y - 0*y. Let a = y + 27. What is the remainder when a is divided by 9?
7
Let x(j) be the second derivative of j**3/6 - j**2 - 4*j. Calculate the remainder when (0 + 1)*-1 + 16 is divided by x(10).
7
Let y(m) = 4*m - 7. Calculate the remainder when y(9) is divided by 16.
13
Calculate the remainder when (-14)/28 + (-131)/(-2) is divided by 17.
14
Suppose u + g - 2 + 1 = 0, -5*u = -3*g - 21. Suppose -1 = -b + 3*a, u*b + 2*a + 3*a = 17. What is the remainder when 7 is divided by b?
3
Let d(q) = -2*q - 2. Calculate the remainder when d(-4) is divided by 4.
2
Let n(k) = k**2 + 4*k - 3. Let c be n(2). Suppose -3 - 21 = -2*d. Suppose d + c = r. Calculate the remainder when r is divided by 11.
10
Let a = -1 + 17. What is the remainder when a is divided by 3?
1
Suppose 0 = 5*l - 4*h - 30, 0*l - l + 6 = h. Let p be 3/l*18 + 0. Suppose 3*f + 3*t - p = -0*t, 3*t + 15 = 0. Calculate the remainder when f is divided by 5.
3
Suppose -6*q = -4*q - 66. Calculate the remainder when q is divided by 7.
5
Let p be 1/(-1) - 1 - -6. Suppose 4*q + 12 = 0, 5*t + 2*q + p + 7 = 0. Let f(i) = 7*i**2 - i - 1. What is the remainder when f(t) is divided by 5?
2
Let l = -130 - -143. Calculate the remainder when 35 is divided by l.
9
Let i(t) = -t**3 + 6*t**2 + t. Let v be i(6). What is the remainder when (-46)/(-4) - v/(-4) is divided by 7?
6
Let t(x) = -2*x**3 + x**2. Suppose -2*c + 12 = -6. Calculate the remainder when c is divided by t(-1).
0
Let p = -135 + 285. Suppose 0 = 4*b - 2*t + p - 360, 2*t + 48 = b. What is the remainder when b is divided by 14?
12
Let j(l) = l**2 + 4*l + 4. Let w be j(-2). Suppose w = 4*b - 177 - 99. What is the remainder when b is divided by 14?
13
Suppose 3*l - 21 = 3*c, l - 5*c + c = 22. Let p(q) = q**3 - 3*q**2 + 2*q + 1. What is the remainder when p(l) is divided by (-1)/(-2)*2 + 0?
0
Let u(z) = z**2 - z + 1. Calculate the remainder when 25 is divided by u(-2).
4
Let c be (6/(-4))/((-5)/(-80)). Let h = -10 - c. Calculate the remainder when 27 is divided by h.
13
Suppose -5*r + 25 = -75. Let p = -8 + r. What is the remainder when 46 is divided by p?
10
Suppose 3*f + 0*f = -4*p + 114, 0 = 2*p. What is the remainder when f is divided by 10?
8
Let b be (-27)/(-4) + (-4)/(-16). Let v(g) = -g**3 + 7*g**2 + 2*g - 1. What is the remainder when v(b) is divided by 7?
6
Suppose 0*o = -o + 5. Suppose r - o*r = -80. Calculate the remainder when 38 is divided by r.
18
Let t(s) = -30*s + 7. Let f(r) = -30*r + 6. Let i(j) = 6*f(j) - 5*t(j). Let y be i(1). Let u = y + 50. Calculate the remainder when u is divided by 11.
10
Suppose -4*r = 5*j - 57 - 32, 0 = 5*j + 3*r - 93. Calculate the remainder when 77 is divided by j.
14
Let q(w) be the first derivative of -3*w**4/4 - 4*w**3/3 - 2*w**2 - 3*w - 1. What is the remainder when q(-2) is divided by 4?
1
Suppose 2 = 2*l - 2. Suppose 5 = -2*h + 9. What is the remainder when h is divided by l?
0
Let g(a) = -2*a**3 - 3*a**2 - 3*a - 2. Calculate the remainder when 31 is divided by g(-2).
7
Let o(v) = 19*v**3 - v. Calculate the remainder when 67 is divided by o(1).
13
Suppose 2*p = 6*p. Suppose -3*b + 32 + 7 = p. Calculate the remainder when 50 is divided by b.
11
Suppose -3*p + 2 + 10 = 0. Let c = 8 - 4. Let s = 3 + c. Calculate the remainder when s is divided by p.
3
Suppose -10 + 1 = 3*u. What is the remainder when 888/30 + u/5 is divided by 10?
9
Suppose -2*s - 2*s = 0. Suppose 4*u - 2*u - 8 = s. Calculate the remainder when 6 is divided by u.
2
Let d(u) = u + 11. Let o be 30/(-4) + (-9)/6. Let x be d(o). Suppose -3*m + 5 = x. Calculate the remainder when m is divided by 1.
0
Let i(x) = x**3 + 2*x**2 - x - 2. Suppose -2*r = 2*r - 12. What is the remainder when i(r) is divided by 14?
12
Let h(u) = u**2 + 17*u + 17. Calculate the remainder when h(-17) is divided by 9.
8
Suppose k + 15 = 59. Calculate the remainder when k is divided by 9.
8
Calculate the remainder when 4*9/12 - -11 is divided by 5.
4
Let c(z) = -8*z**2 + z + 1. Let x be c(-1). What is the remainder when 27 is divided by 6*2/x*-10?
12
Let g be 0/((-3)/9*-3). Suppose m + g - 11 = -5*d, -m = -d - 5. Let n(b) = 2*b + 8. Calculate the remainder when n(m) is divided by 7.
6
Let p = -21 + 39. What is the remainder when p is divided by 10?
8
Suppose 4*i = 7 + 5, -i = q - 26. Let w(l) = -l**2 + 6*l