lculate the remainder when x is divided by 19.
16
Let q be 0 - (0 - (-6)/(-2)). Suppose 8 = q*n + n. Suppose -v + 10 = 3*i - 109, -i + 38 = n*v. What is the remainder when i is divided by 14?
12
Let q = 563 + 55. What is the remainder when q is divided by 31?
29
Let h = -72 - -101. Suppose -3*u - r = 53, 1 = -u + 5*r + 10. Let o = u + h. What is the remainder when 25 is divided by o?
12
Suppose 2*i - 9 = -0*m - 3*m, -i - 1 = -4*m. Let g(l) = 23*l**3 - l**2 + 2*l - 1. Calculate the remainder when 44 is divided by g(m).
21
Suppose 5 = -4*b + 5*z + 7, -2*z = 5*b - 19. What is the remainder when b is divided by 1?
0
Let f be ((-5)/(-3) - 0)/((-48)/(-864)). Let o be (3 + 2 + -3)*2. Suppose o*r = n + f, 2*n = 2*r - n - 10. Calculate the remainder when 21 is divided by r.
5
Suppose 4*g - 48 = -5*u, -5*g + 23 = 76*u - 79*u. What is the remainder when 2/7 - 180/(-7) is divided by g?
5
Suppose -6*r - 3*r + 9 = 0. What is the remainder when 42 is divided by (69/(-15))/(r/(-5))?
19
Suppose -4*w + 12 = 2*a, 5 - 2 = -a - 5*w. Suppose 3*y - 312 = m, -4*y + 7*m = 2*m - 405. What is the remainder when y is divided by a?
9
Let z = -757 - -883. Calculate the remainder when z is divided by 28.
14
Let t = 17 - 9. Suppose 3*s - 23 = -t. What is the remainder when 33 is divided by 35/s + (-2)/(-1)?
6
Suppose -2*k + 6*k - 12 = 0. Suppose 5*i - 12 = r, -3*i - k = -4*r - 0*i. Suppose 0*t - r*t + 33 = 0. Calculate the remainder when t is divided by 7.
4
Let c(a) = -3*a + 1. Let o be c(-1). Let p = 46 - o. Calculate the remainder when 165 is divided by p.
39
Let s = -43 - -63. Let w = 17 + -17. Let v = s + w. What is the remainder when 77 is divided by v?
17
Let s = 1 + 10. Let o = -55 + 58. Calculate the remainder when s is divided by (33/11)/(o/4).
3
Let v(s) = 9*s - 1. Let n(i) = 8*i - 2. Let q(l) = -3*n(l) + 2*v(l). Let u(c) = 5*c + 2. Calculate the remainder when u(5) is divided by q(-1).
7
Let q be ((-21)/(-6) + -5)*(-56)/3. Suppose 3*a = 8 + q. What is the remainder when 105 is divided by a?
9
Let i(s) = -6*s + 10. Let r be i(5). What is the remainder when (-18)/(r/15 + 1) is divided by 11?
10
Let h = 645 + -644. Suppose -5*s = -8*s + 9. What is the remainder when (649/33)/(h/s) is divided by 12?
11
Let o(b) = b**3 + 4*b**2 - 3*b - 6. Let z(x) = x**3 + 11*x**2 + 24*x + 28. Let s be z(-10). Let n = s + 127. Calculate the remainder when n is divided by o(-4).
3
Let x = -979 - -988. Suppose -12 = 3*z, -5*h - 11 + 0 = -z. Let t(i) = -i**3 - 3. Calculate the remainder when t(h) is divided by x.
6
Suppose -3*g - 200 = -4*o + 3*o, 0 = 4*o - 2*g - 830. Suppose -184 = -2*b - 3*b + 3*k, -k - 3 = 0. What is the remainder when o is divided by b?
34
Let p = 88 + 8. What is the remainder when p is divided by 14?
12
Let x(z) = 9*z**2 - 17*z + 17. What is the remainder when 10 is divided by x(1)?
1
Let q(c) = -2*c**2 - 10*c - 2. What is the remainder when 298 is divided by q(-3)?
8
Suppose 64*y + 1496 = 86*y. Suppose 5*g + p - 124 = 0, -7*p + 132 = 5*g - 4*p. Calculate the remainder when y is divided by g.
20
Let w(m) = -m**2 + 10*m + 27. Let a be w(12). Suppose 5 = -a*x + 14. Let h = -7 - -12. Calculate the remainder when h is divided by x.
2
Let l be (-4)/(17 + -5)*(0 + -795). Suppose -8*h + 13*h - l = 0. Calculate the remainder when h is divided by 20.
13
Let u(s) = s**2 + 7*s + 2. Suppose 5*b + 4*p - 20 = 13, 2*p = 3*b - 33. Calculate the remainder when u(5) is divided by b.
8
Let p(l) = -16*l**3 + l**2 - l - 1. Let g = -14 + 8. Let h be (-2 - 9/g)*2. What is the remainder when 32 is divided by p(h)?
15
Let r = -58 + 38. Let x = 38 + r. What is the remainder when 69 is divided by x?
15
Suppose -5*m + 2*p = -0*m - 28, -11 = -m - 5*p. Suppose 0 = 2*l + 2*x - 38 + m, 4*l - 5*x = 91. Calculate the remainder when l is divided by 7.
5
Let m = -122 + 194. Suppose 3*d - m = -d. What is the remainder when 66 is divided by d?
12
Let g = 30 - 28. Suppose -16 = -g*a - 2*a. Calculate the remainder when 7 is divided by a.
3
Suppose -2*n + 60 = -w - 3*w, 0 = -2*w + 10. Calculate the remainder when 358 is divided by n.
38
Let z(u) = u + 7. Let a = 28 - 26. What is the remainder when z(0) is divided by a?
1
Suppose -u = -4*r + 6*r - 8, 16 = 2*r + 5*u. Suppose -2*f = r*f - 60. What is the remainder when 23 is divided by f?
11
Suppose -2*b + 621 = -5*m, 0*b + 3*b = m + 899. Calculate the remainder when b is divided by 77.
67
Suppose -3*q + 14*w + 307 = 10*w, 4 = -w. What is the remainder when 209 is divided by q?
15
Let w(v) = v**2 + 5*v - 19. Calculate the remainder when 29 is divided by w(-8).
4
Let n = 12 + -3. Calculate the remainder when n is divided by (-5 - -1)/(108/(-162)).
3
Calculate the remainder when 3/2*(0 - (-5792)/24) is divided by 13.
11
Let q be (6 + 0)*(-147)/14. Calculate the remainder when (-251)/(-3) + (-84)/q is divided by 22.
19
Suppose 5*u + v = 3*v + 17, 3*u - 3*v = 12. Let c(i) = 7*i**2 - i - 2. Calculate the remainder when c(u) is divided by 4 + (-4 - -8) - -4.
10
Suppose 426 = 10*u + 46. Suppose 4*z - u = 2*z. Calculate the remainder when 72 is divided by z.
15
Let m(i) = 7*i - 19. Let f(w) = 2*w - 5. Let q(a) = 22*f(a) - 6*m(a). Let j = -77 - -130. What is the remainder when j is divided by q(5)?
11
Let j be 774/3*(-2)/3. Let m = -154 - j. What is the remainder when 28 is divided by m?
10
What is the remainder when (5/((-10)/(-1254)))/1 is divided by 35?
32
Suppose 4*u = 9*u, 0 = -3*i - u - 159. Let x = i + 69. Calculate the remainder when 26 is divided by x.
10
Let y(b) = 2*b**2 + 5*b - 3. Let s be y(-4). What is the remainder when 85 - (2/1 - -1) is divided by ((-84)/s)/(-4)*9?
19
Let k(a) = -a**3 + 8*a**2 + 15*a + 2. Suppose -34 + 43 = x. What is the remainder when k(x) is divided by 19?
18
Suppose 0 = 3*b + 2*i - 241, -76 = -2*b + 3*i + 102. Let g(o) = 21 + 3*o + 3*o - o**2 - 5*o + 0*o**2. Calculate the remainder when b is divided by g(0).
20
Suppose -16*n + 13*n = -897. Calculate the remainder when n is divided by 50.
49
Suppose -168 = -3*x + 4*c + 51, 0 = 4*x + 4*c - 292. What is the remainder when 434 is divided by x?
69
Suppose -5*r + f = -119, 5*f = r - 10 - 9. Suppose -5*w + r + 51 = 0. Calculate the remainder when w is divided by 8.
7
Suppose -3*j + 62 = 5*x, 2*x + 5*j - 24 = 16. What is the remainder when 38 is divided by x?
8
Suppose 0 = -28*x + 4913 + 4663. Calculate the remainder when x is divided by 49.
48
Let n = 62 + -29. Suppose -5*m - 3*s - 64 = 0, -s - 24 - 1 = 2*m. Let w = 119 - m. Calculate the remainder when w is divided by n.
31
Suppose -15*s = -10*s + 40. Let m = s + 45. Calculate the remainder when 107 is divided by m.
33
Let n(v) = -v**2 - 8*v - 5. Let d = 193 + -134. Let g = d + -40. Calculate the remainder when g is divided by n(-5).
9
Calculate the remainder when 80 is divided by (-12)/(-12) + 2 + 6.
8
Suppose -86*a = -100*a + 1722. What is the remainder when 378 is divided by a?
9
Suppose -n - v = -15, 0 = -5*n + 3*v + 34 + 49. Calculate the remainder when 191 is divided by n.
15
What is the remainder when 199 is divided by 105 + (-1)/(-2)*-8?
98
Let d(a) = -24*a**2 + 4*a + 3. Let o be d(-1). Let p = 27 + o. Suppose -6*z = -z - 20. Calculate the remainder when z is divided by p.
0
Let q(x) = 10*x**2 - 32*x + 119. Calculate the remainder when q(8) is divided by 21.
20
Let x(m) = -m**3 + 22*m**2 - 21*m + 32. Calculate the remainder when x(14) is divided by 17.
14
Let w(q) = 17*q - 26. Suppose -5*f = 5*y - 57 + 12, 2*f = -4*y + 28. Calculate the remainder when w(f) is divided by 9.
6
Let w(y) = -53*y - 3. Suppose -14 = 25*h - 11*h. Calculate the remainder when w(-2) is divided by 45 + -39 - (h + -19).
25
Let t(k) = 9*k**3 - 7*k**2 + 6*k - 2. Calculate the remainder when t(3) is divided by 18.
16
Let a = -43 + 48. Calculate the remainder when ((-150)/35)/(1/(-7)) is divided by 42/a - (-26)/(-65).
6
Let h = 20 + 47. Suppose -h = -5*z + 108. Suppose -3*x + 29 = 2*n, -2*x + 5*n + 16 = -z. What is the remainder when 35 is divided by x?
9
Suppose -s = -2*s + 113. Suppose -y - 4*y + 185 = 5*k, 4*k = -12. Calculate the remainder when s is divided by y.
33
Let u(i) = i + 27. Let s = 86 + -84. Suppose -2*h = s*h - 428. Calculate the remainder when h is divided by u(0).
26
Suppose -5*q - 2*v = -120, 3*q = 7*q + 2*v - 98. Calculate the remainde