e the remainder when 19 is divided by n(8).
5
Suppose 192 = -3*r + 453. Suppose 0 = -4*p - i + r, 1 = 2*i + 11. Suppose -5*q - 3 = -p, -38 = -2*a - q. Calculate the remainder when 49 is divided by a.
15
Let n(q) = q**3 + 10*q**2 - 4*q - 5. Let v(j) = j**2 - j. Let z(x) = -n(x) + 6*v(x). Suppose 4*s + 14 = -2. Calculate the remainder when z(s) is divided by 5.
3
Suppose -22 = -2*i + 4*l + 6, 12 = -3*l. Let b(f) = -f**3 + 6*f**2 + 3*f - 6. What is the remainder when b(i) is divided by 5?
2
Suppose 6*v = 11*v - 60. Calculate the remainder when 56 is divided by v.
8
Let i(d) be the second derivative of -23*d**3/2 - d. Let h be i(-1). Suppose 2*v - 70 = y, 3*v + 4*y = 25 + h. What is the remainder when v is divided by 12?
10
Suppose 5*n = -2*f + 66, n + 7*f - 3*f - 24 = 0. Let h be (7/3)/((-2)/(-6)). Calculate the remainder when (18 - -1) + h + -4 is divided by n.
10
Let u(k) = -2 + 0 - 3 - 2 + 4*k. What is the remainder when u(10) is divided by 17?
16
Suppose -4*u = -5*c - 2*u + 130, -2*c + 51 = -u. Calculate the remainder when c is divided by 15.
13
Let c be 5/(-20) - (-13)/4. Suppose -4*k + c*k = -13. What is the remainder when 23 is divided by k?
10
Let l(n) = n**2 + n - 4. What is the remainder when l(-5) is divided by 6?
4
Suppose -5*x + 111 - 34 = 4*m, 5*m = -x + 70. Suppose 153 = 3*w - 0*w. What is the remainder when w is divided by m?
12
Let a be ((-32)/10)/((-5)/(-25)). Let m = -9 - a. Let q = 4 + m. What is the remainder when 21 is divided by q?
10
Suppose 9 - 1 = -4*n - 4*g, 3*g = -6. Suppose -5*l = -2*p - 61, n = -l - p + 5*p + 5. Let z = 22 - -16. What is the remainder when z is divided by l?
12
Suppose 0 = -5*z + 5 - 15. Let b = 2 - z. Suppose -b*a = -a - 30. Calculate the remainder when 18 is divided by a.
8
Suppose -o = -3*g - 12, -5*o + 1 = -4*g - 15. Let m be g/6*9/(-6). Let k = m + 1. What is the remainder when 2 is divided by k?
0
Let k(l) = -l**3 - 4*l**2 - 6*l - 7. Let d be k(-8). Let n be (-1)/(d/150 + -2). Let x = n + -21. Calculate the remainder when x is divided by 10.
9
Let s be (-2)/1 - (-2 + -3). Let t = 19 - 8. Let h = t - s. Calculate the remainder when h is divided by 5.
3
Let i(w) = -w**3 + 11*w**2 - 8*w - 11. Suppose 4*j = j + 30. Calculate the remainder when 15 is divided by i(j).
6
Let i(f) = -f**3 - 7*f**2 - 10*f - 7. Calculate the remainder when 50 is divided by i(-6).
16
Let z(c) = -c**3 - 8*c**2 - 7*c + 2. Let k be z(-7). Suppose 0 = -k*v + 23 + 7. What is the remainder when v is divided by 9?
6
Suppose 0 = -3*m - 2 + 17. Suppose -2*c = 10, 5*l - 3*l = m*c + 61. What is the remainder when 35 is divided by l?
17
Calculate the remainder when (6 - (0 + 3)) + 1 is divided by 1.
0
Let p(k) = -6*k**2 - k. Let d be p(1). Let u = 12 + d. Calculate the remainder when u is divided by 2 + (0 + 3)/3.
2
Let u = 9 + -8. Let s = 4 - u. Calculate the remainder when 7 is divided by s.
1
Let s(m) = 2*m**2 - 6*m + 1. Let n be s(4). Let u = n + -8. Let p(z) = -2*z**3 - 2*z**2 + 1. Calculate the remainder when p(-1) is divided by u.
0
Let l(s) = 13*s - 4. Suppose -2*z + 82 = -0*z. Let k = z + -23. What is the remainder when l(3) is divided by k?
17
Suppose -2*s + 14 = -0*s. Let v(i) = 2*i - 39. What is the remainder when s is divided by v(21)?
1
Suppose b = -b + 94. Calculate the remainder when b is divided by 2*(-4 - 0)/(-8) - -11.
11
Suppose 13 = -j - h, 0*j + j + 3*h = -9. Let s = -10 - j. Suppose 3*x = -2*x, -5*x = s*n - 40. Calculate the remainder when 23 is divided by n.
7
What is the remainder when 2/20 - 9607/(-130) is divided by 26?
22
What is the remainder when 77 is divided by 2 + 13 + -7 + 8?
13
Suppose -2*c - 1 = 3*w, 4*w = 2*w + 3*c + 8. Suppose k = 4, 3*l - 4*k - k = w. Calculate the remainder when 13 is divided by l.
6
Let m = 15 - 11. Suppose 0*k = m*k - 8. What is the remainder when 5 is divided by k?
1
Let v(m) = m - 2. Suppose 5*o = -3*u + 18, 4*u + 47 = 5*o + 1. Calculate the remainder when o is divided by v(5).
0
Let j(l) = l**2 - l + 2. What is the remainder when 86 is divided by j(7)?
42
Let o(w) = -3*w - 6. Calculate the remainder when 19 is divided by o(-6).
7
Let p = -12 + 20. What is the remainder when ((-62)/(-5))/((-8)/(-20)) is divided by p?
7
Let x be (-2 - -4)*(-3)/2. Calculate the remainder when (-11)/((2/x)/2) is divided by 9.
6
Let y be (-40)/(-10) + (-1)/(-1). Suppose -4*b - y*k = -3*b - 48, 5*b = -3*k + 152. What is the remainder when b is divided by 10?
8
Let s(d) = d**2 - 9*d + 20. What is the remainder when 44 is divided by s(8)?
8
Suppose 68 = 32*j - 28*j. What is the remainder when 149 is divided by j?
13
Suppose -8 = 2*q - 2, -2*q + 70 = 4*l. Calculate the remainder when 111 is divided by l.
16
Let o be 3 + -1 - (-50 + -1). Let c = 15 - o. Let z = c - -55. Calculate the remainder when 50 is divided by z.
16
Suppose 4 = o - 0*m + m, -m - 26 = -5*o. Suppose -1 + 9 = 5*k + 4*t, 0 = -3*k - 2*t + 4. Suppose k = -2*h + 4. Calculate the remainder when o is divided by h.
1
Let g = 6 - -6. What is the remainder when 47 is divided by g?
11
Suppose 3*d - 8 = d. Suppose 5*f = 5*a + 7 - 52, -d*f - 4 = 4*a. Let c = 16 + a. Calculate the remainder when 58 is divided by c.
18
Let p = 19 + -7. Calculate the remainder when 23 is divided by p.
11
What is the remainder when 67 + -1 + (1 - 0) is divided by 12?
7
Let i(o) = -5*o - o**2 - 10*o - 2 + 5*o. What is the remainder when i(-7) is divided by 7?
5
Suppose -5*t + 33 = -2*x, 3*x + 45 - 18 = 3*t. Let l = x + 21. What is the remainder when l is divided by 5?
2
Let p(g) = -g**3 - 5*g**2 + 4*g + 10. Let o(i) = -1. Let x(n) = 6*o(n) + p(n). Calculate the remainder when 47 is divided by x(-6).
15
Let q(j) = -j**3 - 6*j**2 - 7*j - 1. Let w(l) = l**2 - 1. Calculate the remainder when q(-5) is divided by w(-2).
0
Let z(y) = y**3 - 5*y**2 + 1 + 3 - 2*y**3. Let a be z(-5). Suppose -22 + 56 = 2*d + a*h, -4*h + 67 = 5*d. What is the remainder when 32 is divided by d?
10
Let q(z) = -z**3 - 4*z**2 - 6*z - 2. Let y = -67 + 94. What is the remainder when y is divided by q(-3)?
6
Let n(j) = -55*j - 1. Let x(r) = r. Let y(k) = -n(k) + 6*x(k). Let h be y(-1). Let b = 88 + h. What is the remainder when b is divided by 15?
13
Suppose -5*j - 2*g + 35 = -4*g, -4*j + 4*g = -28. What is the remainder when 109 is divided by j?
4
Let l(n) = 6*n - 4. Let r be l(3). Let j = r + -5. Calculate the remainder when j is divided by 6.
3
What is the remainder when 189 is divided by 4*16*2/4?
29
Suppose 16 = 2*v + k, v - k + 2 = 13. Let t = -7 + v. Suppose -3*p - z = -162, 4*p - 260 + 44 = -t*z. What is the remainder when p is divided by 14?
12
Let n be 10/((-3)/(-2) - 1). Suppose 3*c - 28 = n. Calculate the remainder when 61 is divided by c.
13
Let f = 32 - 20. Let w(z) be the second derivative of 10*z**3/3 + z**2/2 - 2*z. What is the remainder when w(1) is divided by f?
9
Let p = 7 - 4. Suppose 4*g + 28 = z, 13 + 21 = p*z - 2*g. Let y = z - -2. What is the remainder when y is divided by 4?
2
Suppose -364 = -26*b + 19*b. Calculate the remainder when b is divided by 18.
16
Let o = -2 + 4. Suppose 0 = 4*b - v + o*v - 16, 2*b - 4*v = 8. Calculate the remainder when b is divided by ((-10)/(-3) + -3)*6.
0
Let y be 77 - (0 + -2*1). Let s = 19 + 23. Let w = y - s. What is the remainder when w is divided by 10?
7
Let d = -28 - -19. Let b = 13 + d. What is the remainder when b is divided by 2?
0
What is the remainder when 366/18 - 2/(-3) is divided by 8?
5
Suppose 25 = -3*v + 112. Calculate the remainder when 143 is divided by v.
27
Let m be (1 - (2 - 2)) + 2. Suppose 2*q - 30 = -2*p, -m*q - 14 = -4*p - 45. Calculate the remainder when 51 is divided by q.
12
What is the remainder when 4 - (-7 + 4 + -2) is divided by 3?
0
Let p = 48 - 26. What is the remainder when 107 is divided by p?
19
Let k = -7 + 13. Let a = k - 7. Let v(n) = -3*n**3. What is the remainder when 5 is divided by v(a)?
2
Suppose -1199 = -8*b - 3*b. What is the remainder when b is divided by 38?
33
Suppose 2*w = -m + 33, 43 + 47 = 5*w + 5*m. Let c = w - 11. Let b = 6 - -4. What is the remainder when b is divided by c?
2
Let r(h) = -2*h. Let k be r(1). Let b(l) = -3*l**3 + 2*l**2 + 2*l + 1. What is the remainder when b(-1) is divided by (-2 + -3 - 1)/k?
1
Let c = -1 - -3. Let o = -91 + 92. Calculate the remainder when c is div