Calculate the remainder when v is divided by i.
12
Suppose -8 = -4*m + 8. Suppose m = -3*c + 10. Suppose -3*i + 3 = -2*g + 4, c*i = -3*g + 21. What is the remainder when 4 is divided by i?
1
Let z(f) = -f**2 + f - 3. Let k be z(3). Let c(r) = r. Let x(i) = -i + 11. Let d(y) = -4*c(y) - x(y). Calculate the remainder when d(k) is divided by 9.
7
Suppose 0 = 3*a - 5*j - 188, -3*j + 138 = -a + 3*a. Suppose -4*z = 5*f - 169 + a, z + 5*f - 22 = 0. What is the remainder when z is divided by 14?
13
Suppose 0 = -0*r + 2*r. Suppose r*v = -5*v + 45. What is the remainder when 34 is divided by v?
7
Suppose 786 = 4*s + 86. Suppose 0 = 3*z - 2*d - 2*d - s, -5*z - 3*d = -253. Calculate the remainder when z is divided by 14.
11
Let n(v) = v**3 - v - 4. Let z be n(-3). Let i = 83 + z. Calculate the remainder when i is divided by 19.
17
Let p = -3 - -8. Let m be (p - 3 - 41)*-1. Suppose 4*w = 57 + m. Calculate the remainder when w is divided by 13.
11
Let k = -12 - -10. Let o(p) = p**2 + 2*p - 1. Let u be o(k). Calculate the remainder when 1 is divided by u*2*(-3)/6.
0
Suppose -2*x + 14 = -68. What is the remainder when x is divided by 14?
13
Calculate the remainder when 4/6 + 480/9 is divided by 14.
12
Suppose -2*s = 3*s - 125. What is the remainder when 48 is divided by s?
23
Suppose 13 - 30 = -j. Let w = 2 + 1. Suppose 128 = w*m + 29. Calculate the remainder when m is divided by j.
16
Let h = -4 + 0. Calculate the remainder when 59 is divided by 1 + h - (-5 + -18).
19
Suppose 3*v - 637 = 4*i + i, -2*v + 2*i = -430. What is the remainder when v is divided by 22?
21
Let t = -2 + 4. Suppose -3*x = -x - 106. Calculate the remainder when x/t + (-1)/2 is divided by 14.
12
Suppose -5*m = 5*a - 2*a - 89, 0 = 5*a - 5*m - 95. What is the remainder when a is divided by 13?
10
Let m(u) = u**2 + 4*u - 15. Let t = -38 + 59. What is the remainder when m(-11) is divided by t?
20
Let x = 21 - 9. Let t = x - 9. Calculate the remainder when t is divided by 3.
0
Let l(q) = 2*q**2 - 12*q + 6. Suppose -3*w = -4*d + 44, 3*d = -5*w + 2*d - 35. Let k = w + 16. What is the remainder when l(k) is divided by 13?
12
Suppose -y + 24 = 8. Suppose 2*l - 35 = -l + a, -l + y = 4*a. Calculate the remainder when 47 is divided by l.
11
Let j = -6 + 55. Let w = 40 - 23. Calculate the remainder when j is divided by w.
15
Calculate the remainder when 26 + (-1 - (0 + 1)) is divided by (-26)/(-4)*(-9 - -11).
11
Let c(s) = -5*s**2 + 5*s - 4. Let o(q) = 6*q**2 - 5*q + 3. Let h(w) = -4*c(w) - 3*o(w). Calculate the remainder when h(5) is divided by 11.
10
What is the remainder when (-442)/(-10) - 2/30*3 is divided by 15?
14
Let z(i) = i**3 - 3*i**2 - 4*i + 7. Suppose -w + 10 = -18. Suppose 0 = p + a - 7, -3 = 3*p + 5*a - w. Calculate the remainder when z(p) is divided by 10.
7
Let g(v) = 2 + 3 + 0*v + v. What is the remainder when 9 is divided by g(0)?
4
Let c = 20 + -10. Let m(o) = 2*o**2 - 4*o - 4. Let s be m(-6). Let n = s + -63. Calculate the remainder when n is divided by c.
9
Suppose 0 = 4*n - 0*n + 24. Calculate the remainder when 10 is divided by n/(-27) - (-68)/18.
2
Let w = -8 + 12. Let i = -5 + 12. Calculate the remainder when i is divided by w.
3
Let z be (-30)/(-4)*(-8)/(-10). Suppose -2*f + z*f = 16. What is the remainder when f is divided by 3?
1
Let w(u) = 2*u**3 - u + 1. Let o be w(1). Let y be o/(-5) + (-13)/5. What is the remainder when 3/((-9)/y) - -1 is divided by 1?
0
Let r(b) = 9*b**2 - 1. Let w(y) = -y**2 + 8*y + 3. Let u be -3*1*(-16)/6. What is the remainder when r(1) is divided by w(u)?
2
Let d(p) = -p**2 - 8*p - 3. Let t(b) = b**3 - 4*b**2 + 2*b - 3. Let l be t(2). Suppose 0 = -6*g + 3*g + 30. Calculate the remainder when g is divided by d(l).
2
Let p = 78 - 51. Calculate the remainder when p is divided by 7.
6
Suppose b - 3*b + 70 = 0. Let a = 56 + -38. Calculate the remainder when b is divided by a.
17
Let j(m) = -4*m - 15. Let u be j(-6). Suppose -4*s + u = -s. What is the remainder when 7 is divided by s?
1
Let v(a) = a**3 - 17*a**2 + 33*a - 20. Calculate the remainder when 98 is divided by v(15).
23
Let i = -8 + 12. Suppose -2*h = 2*l - 42, 2 = i*h + 10. What is the remainder when l is divided by 12?
11
Let s(n) = -n + 3. Let p be s(6). Let k(h) = -h + 2. Let a be k(4). Calculate the remainder when (-8 + p)*(0 + a) is divided by 12.
10
What is the remainder when 123 is divided by (-215)/(-7) + (-6)/(-21)?
30
Suppose 4*l - 44 = -7*l. Let i(c) = c**2 - 7. Let s be i(-5). Let d = s - 11. What is the remainder when d is divided by l?
3
Suppose u + r - 7 = 4, 3*u - 2*r = 38. Calculate the remainder when u is divided by 2.
0
Let z(x) = 17*x. What is the remainder when z(1) is divided by (4 + -9)*(-4 - -2)?
7
Let u be 26/6 + 14/21. Suppose u*b - 5*y + 12 = -3, -4*b + 5*y - 7 = 0. Let j = b - -19. What is the remainder when 32 is divided by j?
10
Let d = 10 + -6. Suppose -6 = -d*f + 2. Suppose b = -f*b + 42. Calculate the remainder when 26 is divided by b.
12
Suppose 3 + 1 = 2*b. Suppose -7 = -5*f + 33. Let t = -6 + f. Calculate the remainder when b is divided by t.
0
Suppose 2*q - 3*q + 55 = 0. Suppose -4*c = -7 + 11, 4*d = -c + 75. What is the remainder when q is divided by d?
17
Suppose 2*t = 4*x + 18, t - 56 = -4*t - x. Suppose 2*a - b - 11 - t = 0, -a - 4*b + 29 = 0. Calculate the remainder when a is divided by (10/4)/((-3)/(-6)).
3
Let y(j) = -j**3 + 4*j**2 - 2*j - 1. Let u be y(5). Let w = -53 - u. Let p = w - -25. What is the remainder when 22 is divided by p?
6
Suppose -r + 0*r + 2*o - 9 = 0, 2*o - 10 = 0. Calculate the remainder when (-32)/(-14) - (-2)/(-7) is divided by r.
0
What is the remainder when 9 is divided by (-4)/3*(-9)/2?
3
Let q be 2/7 - (-54)/(-42). What is the remainder when 23 is divided by 287/35 - q/(-5)?
7
Let a be 21/28 + 2/8. Let k be 276/8 + a/2. Suppose 0*z = r - z - k, z = -2*r + 70. What is the remainder when r is divided by 18?
17
Suppose 3*d = -t + 73 - 23, 4*t - 250 = -2*d. What is the remainder when t is divided by 22?
21
Let c(d) = -d**3 - 8*d**2 + 8*d - 9. Let v be c(-9). Suppose -5*z + 40 + 30 = v. Calculate the remainder when 41 is divided by z.
13
Suppose 0 = 4*y + 23 - 123. What is the remainder when 72 is divided by y?
22
Let h = 6 - 4. Suppose 3*o - 5*o + 25 = j, -3*j - h*o = -79. What is the remainder when j is divided by 10?
7
Let x = 46 - 23. Suppose -x = -j - 2*w, 0 = -3*j - 2*w - 6 + 55. What is the remainder when j is divided by 7?
6
Suppose 0 = -3*d + 5*q + 54, -5*d + 4*d + 18 = -4*q. Calculate the remainder when 34 is divided by d.
16
Suppose 0 = 4*a - 5*t - 2 + 19, -t = -4*a + 3. Let m(p) = 0*p - 4*p + 3*p**2 + 2 - p**a. Calculate the remainder when m(4) is divided by 10.
8
Let a(v) be the first derivative of v**3/3 - 3*v**2/2 - 6. Suppose -3*i + 4 + 17 = -3*k, -4*i + 5*k + 29 = 0. What is the remainder when a(5) is divided by i?
4
Let j(c) = c**3 - 3*c**2 + c - 2. Suppose -217 = 11*g - 778. Calculate the remainder when g is divided by j(4).
15
Suppose -k - 1 + 11 = 0. Suppose 3*n - g - 2 = k, -2*n + 4*g = -8. What is the remainder when n*1*(-10)/(-4) is divided by 4?
2
Let u(x) = 5 + 3*x + 4 - x. What is the remainder when u(8) is divided by 13?
12
Suppose 2*g + c - 82 = -3*c, 5*c = -g + 56. Suppose 4*u + 110 = 14*u. Calculate the remainder when g is divided by u.
9
Suppose -1 = h - 5. Suppose 2*r = 2*u + 2, -r + 4*r - u - 5 = 0. What is the remainder when h is divided by r?
0
Suppose -4*m - 3*r + 99 = 0, 2*r + 95 = 6*m - m. Let w = 58 - m. What is the remainder when w is divided by 10?
7
Let i be -2 - (-3 + 0) - -1. Suppose -2*k - 3*k = -i*m + 47, 0 = 4*m + 4*k - 80. Let h(j) = -4*j - 17. Calculate the remainder when m is divided by h(-7).
10
Let s = 131 - 53. What is the remainder when s is divided by 20?
18
Let i(q) be the second derivative of q**4/12 + 3*q**2/2 + 4*q. Let a be i(0). Suppose g + a = 12. What is the remainder when 33 is divided by g?
6
Suppose -4*s = -78 - 78. Suppose -3*c = 4*k - s, 0*k = 2*k - 5*c - 13. Let g = 14 - -11. What is the remainder when g is divided by k?
7
Let r = 52 + -35. What is the remainder when r is divided by 4?
1
Let w(o) = 3*o - 1. Let n be w(5). Suppose 0*p = 3*v + 2*p - 31, -2*p = -2*v + n. Let a = -23 - -40. Calculate the remainder when a is divided by v.
8
Suppose 2 = f + 5