alculate the remainder when 4 is divided by c.
1
Let v(z) = z**3 + 10*z**2 - 7*z - 2. What is the remainder when v(-10) is divided by 24?
20
Suppose 3*u - 39 = -4*a + a, 0 = 5*a - 3*u - 89. Let v be -11 - (1 + 1)*-1. Let h = v - -18. What is the remainder when a is divided by h?
7
Suppose 3*a + 16 = a. Let r = a - -11. Suppose c - 50 = -r*c + y, 3*c + 3*y = 30. Calculate the remainder when 46 is divided by c.
10
What is the remainder when ((-48)/28)/((-2)/28) is divided by 9?
6
Calculate the remainder when 23 is divided by (-60)/(-8) + (-3)/2.
5
Suppose -4*z + 29 + 31 = 0. Let u = z - -4. What is the remainder when u is divided by 1 - (2/(-1) - 7)?
9
Let p = 4 - -50. Let g = -19 + p. Suppose h = -3*f + 21, -h + 2*f = -5 - 1. Calculate the remainder when g is divided by h.
11
Let d = 39 - 23. What is the remainder when d is divided by 6?
4
Suppose 5*u + 17 = -6*v + 5*v, 0 = -2*u - 10. What is the remainder when 31 is divided by v?
7
Let s(v) = -v**2 - 5*v + 9. What is the remainder when 36 is divided by s(-4)?
10
Let a = 82 + -32. What is the remainder when a is divided by 17?
16
Let o = 181 - 94. Calculate the remainder when o is divided by 13.
9
Let m = -2 - -2. Suppose 0 = -x - 4*r + 5, 5*x - x - 4*r - 80 = 0. What is the remainder when x is divided by (9 + m/(-1))*1?
8
Let c(w) = w**2 - 2*w + 3. Let b be c(3). Let t(o) = 2*o - 7. Let l be t(b). Let g = 2 + l. What is the remainder when 20 is divided by g?
6
Let y = 6 + 13. Suppose -3*l - 4*a = -90, 3*l - 7*l - 3*a = -127. Let h = l - -22. Calculate the remainder when h is divided by y.
18
Let j(h) = -h**2 + 2*h - 1. Let v be j(1). Let s = v - -5. Calculate the remainder when 1*6*9/6 is divided by s.
4
Suppose -104 = -s - 69. Calculate the remainder when 103 is divided by s.
33
Suppose -4*h - 139 = -b, b = h + 44 + 98. What is the remainder when b is divided by 29?
27
Let q = -4 - -8. Let b(w) = w**2 + 4*w - 18. Calculate the remainder when q is divided by b(-7).
1
Suppose w + 2*w - 30 = 0. Suppose -4*p - 21 = -y - 4*y, 20 = 5*p + 3*y. Let t(k) = 2*k**2 + k. What is the remainder when w is divided by t(p)?
1
Let q = 42 + -18. Calculate the remainder when q - (0/3 + -2) is divided by 9.
8
Suppose 4*j = -j + 65. Let m = 142 + -92. What is the remainder when m is divided by j?
11
Suppose 4*w + 4*m - 31 - 5 = 0, 0 = 2*w + m - 15. Let c = -2 - -8. Suppose -x = -c*x + 20. What is the remainder when w is divided by x?
2
Let s(i) = i - 3. Let h be s(0). Let d = h + 9. Calculate the remainder when 50/3 - (-2)/(-3) is divided by d.
4
Suppose s = -48 + 54. Calculate the remainder when s is divided by 2.
0
Suppose j - 4*j + 9 = 0. Calculate the remainder when 11 is divided by j.
2
Suppose -s = -2*i + 3*s, 0 = 3*i - 2*s. Suppose i*p - p + 15 = -4*x, -p + 15 = 2*x. Calculate the remainder when 57 is divided by p.
12
Suppose 2*f = 7*f - 20. Suppose -5*m = -4*m + 4*d - 88, f*m = -2*d + 282. Suppose 0 = 2*c + 2*c - m. What is the remainder when 32 is divided by c?
15
Let d(q) = -2*q - 3. Let f(a) = -a**3 + 5*a**2 + 7*a + 6. Let j be f(6). Suppose -4*b = -b + j. What is the remainder when 9 is divided by d(b)?
4
Let d = -31 + 59. Calculate the remainder when 40 is divided by d.
12
Suppose 5*i + 60 = v, -3*v + 2*i + 2*i + 213 = 0. What is the remainder when v is divided by 21?
12
Let u(x) = -19*x + 11. What is the remainder when u(-1) is divided by 18?
12
Suppose -d = d - 170. Suppose -5*b = -3*i - d, -22 = 4*i - 2. What is the remainder when 26 is divided by b?
12
Suppose -10 + 44 = 4*w - 2*k, 4*k - 23 = -5*w. What is the remainder when w is divided by 4?
3
Let i(p) = p**3 - 13*p**2 + 24*p - 16. What is the remainder when 10 is divided by i(11)?
4
Suppose -4*g - 3*p + 20 = -0*g, 0 = -5*g + 5*p - 10. Calculate the remainder when g - (-21)/(1 + 0) is divided by 12.
11
Suppose 0 = 2*h + 3*m - 15, h = 3*m - 9 - 6. Suppose h = -5*l + 124 - 4. What is the remainder when 71 is divided by l?
23
Suppose -4*q = -3*b + 22, -5*q + 12 + 27 = b. What is the remainder when b is divided by 8?
6
Suppose -4*w - 4*s + 540 = 0, -3*w + 518 = 5*s + 115. Calculate the remainder when w is divided by 46.
44
Calculate the remainder when 47 is divided by (0 - (-2)/(-10)) + (-243)/(-15).
15
Let v(r) = 2*r**3 - r**2 + 3*r - 1. Calculate the remainder when 2*((-45)/(-2) - -2) is divided by v(2).
15
Let i(z) be the second derivative of -z**4/12 - 5*z**3/3 - 4*z**2 - 2*z. Let d(m) = m**2 - 6*m + 5. Calculate the remainder when i(-7) is divided by d(6).
3
Let r = 14 + 2. Suppose -3*k + 6*k + 3 = t, 33 = 3*t - k. Calculate the remainder when r is divided by 3/t - (-70)/8.
7
Let r(a) = 6*a**2 - a + 1. Let w(d) = d**2 - 10*d + 13. Calculate the remainder when r(1) is divided by w(9).
2
Calculate the remainder when -14*(28/(-8) - -2) is divided by 12.
9
Let b = 55 - 29. Calculate the remainder when b is divided by (-8)/(-4) + (4 - -1).
5
Let u = -9 - -16. Calculate the remainder when 26 is divided by u.
5
Suppose -l + 5*d + 65 = 0, 182 = 4*l - 2*l + 3*d. Calculate the remainder when l is divided by 22.
19
Suppose -2*k + 166 = -0*k. Calculate the remainder when k is divided by 21.
20
Let t be 30/255 - (-4)/(-34). Let j(n) = n**2 + n - 12. Let h be j(0). Let r = t - h. Calculate the remainder when 34 is divided by r.
10
Let c be -1 + 0 + 2 + 2. Suppose -13 = -c*z - 133. What is the remainder when z/6*(-24)/10 is divided by 9?
7
Let h = 30 + -12. Let a = -10 + h. What is the remainder when 30 is divided by a?
6
Let w = 52 + -34. What is the remainder when 53 is divided by w?
17
Suppose 3*w + 3*v - 148 = 2*v, 2*w + 4*v - 102 = 0. Calculate the remainder when w is divided by 13.
10
Let r(f) = -2*f**3 - 7*f**2 + 15*f - 1. What is the remainder when r(-7) is divided by 40?
37
Suppose -4*b + 2*s + s = -47, 5*s + 57 = 4*b. What is the remainder when 31 is divided by b?
7
Let s(i) = i**2 + 6*i + 6. Let d be s(-7). Suppose -2*n - 3*g = -0*n - d, -g = -5*n + 41. Suppose 5*x - 12 = n. Calculate the remainder when 7 is divided by x.
3
Let z(t) = -t**3 + 10*t**2 + 11*t + 2. Let j be z(11). Suppose -4 = j*n - 8. Suppose m - n = 20. What is the remainder when 42 is divided by m?
20
What is the remainder when 28/(-4 - 88/(-20)) is divided by 24?
22
Suppose -o - 4 + 30 = 0. What is the remainder when 103 is divided by o?
25
Suppose -3 = -3*r + 12, -2*n = 5*r - 239. Calculate the remainder when n is divided by 22.
19
What is the remainder when (-75*((-28)/6 - -3))/1 is divided by 32?
29
Let k(o) be the second derivative of -2*o**3/3 - o**2 + o. Calculate the remainder when 29 is divided by k(-3).
9
Suppose 5*o - 3*b - 45 = 0, 4*o = -5*b + 49 + 24. Suppose -21 = -p + 4*c, 3*p - c - 44 = 52. What is the remainder when p is divided by o?
9
Let d = 21 + 2. Calculate the remainder when (-8)/44 - (1 + (-728)/11) is divided by d.
19
Suppose 8 + 64 = 2*k. What is the remainder when 135 is divided by k?
27
Let z(u) = 5*u - 7. Let c(b) = -2*b + 9. Let t be c(8). Let q be z(t). Let g = -29 - q. Calculate the remainder when g is divided by 8.
5
Suppose 5*g - 293 - 387 = -5*b, -3*g + b = -420. What is the remainder when g is divided by 35?
34
Let u(s) = 18*s + 1. Let j(y) = 9*y - 1. Let f be j(4). Let d = -16 + f. Calculate the remainder when u(2) is divided by d.
18
Suppose -4*z - 76 = -3*h, -4*h + 108 = 2*z + 14. Calculate the remainder when 47 is divided by h.
23
Let p = -125 + 168. Suppose -3*s = -4*v - 3 + 47, 4*v - 44 = 5*s. Calculate the remainder when p is divided by v.
10
Suppose -1 - 56 = -4*n + 5*m, 15 = -3*m. Let h(p) = -p**3 - 3*p**2 - 2*p - 4. Let i be h(-3). Calculate the remainder when (30/4)/(i/4) is divided by n.
7
Calculate the remainder when 3/(-3) + 24*8/16 is divided by -2 + -1*-1*5.
2
Let i(n) = -18*n**2 + n + 2. Let x be i(-1). Let o = 9 - x. What is the remainder when 101 is divided by o?
23
Let v(k) = k**2 + 13*k - 5. Suppose 5*x - 59 = 26. What is the remainder when x is divided by v(-14)?
8
Let q = 4 + 1. Suppose 0 = q*s - 0*s + 4*b - 22, -3*s - 2*b + 12 = 0. Suppose -21 = -s*n + 17. What is the remainder when n is divided by 7?
5
Let q = 24 - 11. Suppose q - 78 = -5*s. Calculate the remainder when 51 is divided by s.
12
Suppose 0 = -2*g + 4*y + 34 - 2, 3*y - 3 = 0. What is the remainder when g is divided by 10?
8
Suppose 0 = -2*u - k, u + 4*u -