3 - 4*m**2 - 6*m - 5. Calculate the remainder when n(a) is divided by 10.
9
Calculate the remainder when 31 is divided by 3 - (-10 + -1 - 3).
14
Let b = -4 - -7. Let a(q) = 3*q - 5. Let k be a(7). Suppose -3*w + w + k = 0. What is the remainder when w is divided by b?
2
Suppose 1 + 14 = 3*h. Suppose 4*q - 23 = 5*j, q - 5*q = 2*j - 2. What is the remainder when h is divided by q?
1
Suppose 7*p - 4*c - 124 = 2*p, 92 = 4*p - 5*c. Let k(j) = -4*j + 15. What is the remainder when p is divided by k(0)?
13
Suppose 96 = -0*b + b. Suppose -4*s = -b + 16. Let g = s + -12. Calculate the remainder when 14 is divided by g.
6
Suppose -5*l + 20 = 0, 5*a = -0*a - 3*l + 27. Suppose -a*i + 7*i - 72 = 0. What is the remainder when 35 is divided by i?
17
Suppose -4*g = 5*a - 8, 0*a + 4*a = -2*g + 4. Suppose -g*x + 4*x = 18. Calculate the remainder when ((-5)/2)/((-4)/40) is divided by x.
7
Let s = -99 + 110. Calculate the remainder when 162 is divided by s.
8
Let z(r) = r**3 + 15*r**2 - 7*r. Let a be z(-15). Suppose 0 = -6*i + i + a. What is the remainder when i is divided by 12?
9
Let n(u) = 2*u**2 - 5*u - 2. Suppose m - 5*d - 20 = 0, 0*m - 3*d - 14 = -m. Let i = m + 3. What is the remainder when n(5) is divided by i?
7
Suppose 5*m - 2*s - 435 = 0, -361 = -4*m + 2*s - 3*s. Calculate the remainder when m is divided by 18.
17
Suppose -44 = -3*k + 2*l, -k - 4*l + 24 = -0*k. Suppose 4*i - 3*i = n, -i = -5*n + k. Calculate the remainder when 9 is divided by n.
1
Suppose 0 = -3*u + 8*u - 85. What is the remainder when 63 is divided by u?
12
Suppose 2*j + 41 = 3*j. Calculate the remainder when j is divided by 2/4 - 84/(-8).
8
Suppose 2*i - c = -1, -25 = 2*c - 7*c. Calculate the remainder when (14/6)/(i/12) is divided by 5.
4
Let l = 24 + 12. Calculate the remainder when l is divided by 15.
6
Suppose 61 = 4*v - 75. What is the remainder when 132 is divided by v?
30
Suppose 1 = 2*t - 1, -3*v + 5*t + 64 = 0. Let z(b) = b**2 - b + 3. What is the remainder when z(7) is divided by v?
22
Suppose 0 = 2*h + 3*d + d - 20, 0 = -2*h + 4*d + 4. Suppose -69 = -3*b - r, b = h*b - 2*r - 115. Calculate the remainder when b is divided by 8.
7
Let h = 4 - -7. Suppose h = 3*d - 5*o - 20, 2*o - 38 = -3*d. Let n(g) = -g**3 - 12*g**2 - g + 10. What is the remainder when n(-12) is divided by d?
10
Suppose -19*n + 864 = -3*n. What is the remainder when n is divided by 4?
2
Let a be -2*1/1 + 3. Let i = 2 + a. Calculate the remainder when 6 is divided by i.
0
Let h(a) = 18*a + 30. Calculate the remainder when h(4) is divided by 13.
11
Suppose -12 = -2*y - 4. Let d = -11 - -15. Suppose 5*r - 5*n - 40 = 0, -d*r + 20 = -r - y*n. What is the remainder when r is divided by 7?
5
Let h be -4 + -3 + (0 - -2). What is the remainder when ((-5)/2)/(h/60) is divided by 8?
6
Suppose w - 3 = 14. Suppose -4*l + 4 = 0, p - l + 0 = -1. Suppose 4*t = -5*x + 147, p*x - 141 = -4*t - 3*x. Calculate the remainder when t is divided by w.
16
Let m(q) = q**3 - 8*q**2 + 9. Let y be m(8). What is the remainder when 16 is divided by 1 + y + (-2)/2?
7
Let n(y) be the second derivative of -3*y**3/2 - y**2 - 4*y. Calculate the remainder when n(-2) is divided by 9.
7
Suppose 13 = 5*q - 2. Let x(u) = 0*u**2 - u**2 - q + 3 + 9*u - 2. Calculate the remainder when 29 is divided by x(6).
13
Let i = 44 - 5. Let x = i - 24. Suppose 49 - x = 2*z. What is the remainder when z is divided by 6?
5
Suppose 3*i + 9 = 4*i. Let z(l) = -l. What is the remainder when z(-17) is divided by i?
8
Suppose -5*u + 8 = -12. Suppose -55 = -u*y - 11. Let j = 67 - 47. What is the remainder when j is divided by y?
9
What is the remainder when (1/2)/(1/38) is divided by 7?
5
Let p(q) = 10*q - 7. What is the remainder when 44 is divided by p(3)?
21
Let c(w) = w**3 + 3*w**2 - 8*w - 10. Calculate the remainder when 17 is divided by c(-4).
5
Suppose 0 = -3*h + 43 - 10. Let f(a) = 2*a**2 - 5*a - 8. Let q be f(-5). Let w = q - 36. Calculate the remainder when w is divided by h.
9
Let l(n) = n**2 + 5*n + 13. What is the remainder when l(-13) is divided by 30?
27
Let m(k) = -k**3 - 10*k**2 - 11*k - 5. Let i = 14 + 2. Suppose -o + 4*o + 11 = 4*u, -4*o + 5*u = i. What is the remainder when 38 is divided by m(o)?
12
Let a = -2 - -5. Suppose l - 5*x - 28 = 0, 2*x = a*l - 77 + 6. Calculate the remainder when l is divided by 8.
7
Let m(v) = -v. Let t be m(-2). What is the remainder when t/(-4)*-8*3 is divided by 7?
5
Suppose 3*o + 0*o + 12 = 0. Let l = 5 + o. What is the remainder when l is divided by (2/6)/((-2)/(-6))?
0
Suppose 58 = 2*f - 46. Suppose -b = b + 28. What is the remainder when f is divided by (-256)/b + (-4)/14?
16
Suppose 3*q + r - 4 - 6 = 0, 0 = 2*q - r. Suppose b - 5*h = -2 - 3, -2*b + q = -4*h. What is the remainder when 12 is divided by b?
2
Let x(w) = 3*w**2 + 2*w - 4. Let n(s) = 2*s**2 + s - 2. Let t(i) = 11*n(i) - 6*x(i). What is the remainder when t(-2) is divided by 11?
9
Let c be 230/4 + 2/4. Suppose 6 = -4*y + c. Suppose -4*m - 116 = -4*a - 0*a, a + 2*m - 14 = 0. Calculate the remainder when a is divided by y.
11
Suppose -3*k + 2 = -p, 2*k + 4*p = 3*k - 8. Let i be (k - -1) + 42 - 2. Let j = i - 29. What is the remainder when j is divided by 7?
5
Suppose -f = 4*y - 130, -68 = -2*y + 2*f - 4*f. Calculate the remainder when y is divided by 11.
10
Let d(r) = -r**2 + 17*r - 15. Calculate the remainder when d(11) is divided by 13.
12
Suppose 0 = -2*r + 2*q + 26, -r = 2*q - q - 17. Calculate the remainder when r is divided by 5.
0
Let s = -3 - -26. What is the remainder when s is divided by 6?
5
Let z(i) = -1. Let g(x) = 5*x - 10. Let a(c) = g(c) - 6*z(c). Let j = 1 - -2. Calculate the remainder when 32 is divided by a(j).
10
Let k(p) = -p**2 - 10*p - 12. What is the remainder when (41 - -1)/3 - 0 is divided by k(-8)?
2
Calculate the remainder when 54 is divided by ((-5)/15)/((-2)/114).
16
Suppose 3*b = 7*b. Suppose 3*f - 15 - 3 = b. What is the remainder when 16 is divided by f?
4
Let w be 0*(0 + -1 + 0). Suppose 0*b = -2*b - 8, -5*u + 2*b - 32 = w. Let f = -5 - u. Calculate the remainder when f is divided by 2.
1
Suppose 2*w + 5 - 8 = -n, -2*w = 2*n - 8. What is the remainder when 32 is divided by n?
2
Let r(k) be the first derivative of k**4/12 + 5*k**3/6 - k**2/2 - 3. Let i(f) be the second derivative of r(f). What is the remainder when i(6) is divided by 9?
8
Suppose j - 8 = -j. Suppose 42 - 4 = w + 3*t, j*w = 3*t + 122. What is the remainder when w is divided by 11?
10
Suppose a + f + 3*f - 28 = 0, 4*a = f + 95. Calculate the remainder when 115 is divided by a.
19
What is the remainder when 4 - 3/(-7 - -4) is divided by 3?
2
Suppose 41 = 5*x - 4*n, 0*x - 5*x - 3*n + 13 = 0. Let a = -5 + 8. Suppose -c - x = 0, a*c = -2*d + 2*c + 89. What is the remainder when d is divided by 16?
15
Suppose 2*n - 4*y = 10, y + 15 = -2*y. Let x(w) = -3*w**2 + 4*w - w**3 - 3*w**2 + 3 + 2*w**2. Calculate the remainder when x(n) is divided by 3.
2
Let v = 196 + -116. What is the remainder when v/(-6)*(-6)/4 is divided by 7?
6
Suppose 4*f - 2*f - 13 = -3*u, 23 = 5*f - 2*u. Suppose 0 = 2*t + 3*i - 30 + 9, -5*t + 2*i = -f. Let l = 1 + 0. Calculate the remainder when t is divided by l.
0
Let z(i) be the first derivative of i**3/3 + 7*i**2/2 - 5*i - 3. Calculate the remainder when z(-9) is divided by 7.
6
Let x = -38 + 41. Calculate the remainder when 18 is divided by x.
0
Let u = -144 + 89. Let x = u - -100. Suppose y - 37 = -5*v + 23, -3*y = -2*v + 24. What is the remainder when x is divided by v?
9
Let f(c) be the first derivative of 10*c**3/3 - 2*c**2 - 3*c + 4. Let n be f(-2). Calculate the remainder when (n/(-4))/((-5)/20) is divided by 12.
9
Let h(y) = -2*y + y**2 + 4*y + 3*y - 4. What is the remainder when 58 is divided by h(-8)?
18
Let m = 56 - 52. Calculate the remainder when 10 is divided by m.
2
Suppose -3 - 6 = -3*h. Suppose -h*p = -6*p + 45. What is the remainder when p is divided by 6?
3
Let d be (-4 + -1)/(12/(-396)). Suppose 0*f - d = -5*f. What is the remainder when f is divided by 17?
16
Suppose 7 = -4*n + 19. Calculate the remainder when 10 is divided by n.
1
Suppose -6*n + 2*n = 48. What is the remainder when (-161)/(-4) + 3/n is divided by 14?
12
Let w(s) = -6*s + 9*s**2 + s - 4*s + s**3 - s. Let z be w(-10). What is the remainder when (-4 - -2)