alculate the remainder when 294 is divided by k.
35
Let y(q) = 5*q**2 - 2*q + 1. Suppose 0 + 1 = o. Let d(h) = h + 2. What is the remainder when d(7) is divided by y(o)?
1
Let t(z) be the third derivative of z**6/40 - z**5/30 + z**4/12 - 7*z**3/6 - 15*z**2. Calculate the remainder when t(3) is divided by 21.
20
Suppose 300 = -5*q - 5*t, 2*q = -0*q + 5*t - 99. Let u = q + 77. Calculate the remainder when 39 is divided by u.
19
Let i be (-273)/(-9) + 4/6. Let d = 48 - i. Let k(t) = -t**3 + 17*t**2 - 3*t + 56. What is the remainder when d is divided by k(17)?
2
Suppose 43*a - 5 = 42*a. Suppose -a*y = -p + 1 + 1, -4*y = -p + 4. What is the remainder when p is divided by 2?
0
Let v = -45 - -50. What is the remainder when (108/8 + v)/(2/4) is divided by 14?
9
Let g = 6 - 2. What is the remainder when 22 is divided by 4/4 + 16 - (g - 1)?
8
Let q = 99 + -60. Suppose -14*s = -15*s + q. What is the remainder when 74 is divided by s?
35
Suppose -2*g - 6 = g. What is the remainder when 18 is divided by (g/10)/(1/(-55))?
7
Suppose 85 = 6*n - 47. Calculate the remainder when 217 is divided by n.
19
Let z = -16 - -50. Calculate the remainder when z is divided by 12.
10
Let k be (6/7)/((-6)/(-28)). Suppose -3*n - 75 = -k*n. Calculate the remainder when n is divided by 39.
36
Let w(z) = z**3 - 6*z**2 - 8*z - 4. Let q be w(6). Suppose -9*s = -11*s + 152. What is the remainder when s is divided by (-2*q/(-8))/(-1)?
11
Suppose b = 3*l - 4*l + 6, 0 = b - 5*l - 18. Calculate the remainder when 414 is divided by b.
6
What is the remainder when 47/(0 - (-5 + 4)) is divided by (4 - -12)/(11/((-132)/(-8)))?
23
Let h(u) = 3*u**2 - 15*u + 67. What is the remainder when h(8) is divided by 12?
7
Suppose 2*y = 2*w - 14, -2*w - 13 = -5*w + y. Suppose w*g = 4*x - g - 8, 0 = 5*g + 25. Let t(m) = -15*m - 5. What is the remainder when t(x) is divided by 21?
19
Let q(s) = -s**3 + 15*s**2 + 16*s - 25. Let r be q(16). Calculate the remainder when 58 is divided by (0 + -3)/3 - (r - -1).
12
Let d(a) = -a**3 - 2*a**2 - 3*a - 6. Let n = 76 - 79. What is the remainder when 14 is divided by d(n)?
2
Let d(c) = 9*c + 9. Let u(p) = -27*p - 28. Let n(b) = -7*d(b) - 2*u(b). Calculate the remainder when n(-5) is divided by (-4)/3*15/(-2).
8
Let j(u) = 2*u**3 + 21*u**2 + 11*u + 42. Calculate the remainder when j(-10) is divided by 18.
14
Let s = -577 - -678. Calculate the remainder when s is divided by 9.
2
Suppose 0 = -3*v - 67 - 2. Let m(p) = -14*p - 130. Let i be m(-15). Let l = i - v. What is the remainder when l is divided by 35?
33
Let y = -23 + 319. Calculate the remainder when y is divided by 23.
20
Let j(r) = r**3 - 4*r**2 + 7*r. Calculate the remainder when 92 is divided by j(3).
8
Let g(r) = -6*r + 121. Calculate the remainder when g(-38) is divided by 21.
13
Suppose -5 = 5*f + c, f = -4*c + 26 - 8. What is the remainder when 56 is divided by (-30)/4*(14/(-21) + f)?
16
Suppose -2*t - 42*c + 170 = -46*c, -3*t + 227 = c. Suppose 5*h = h - 2*b + 96, 5*b + 150 = 5*h. What is the remainder when t is divided by h?
25
Let y(t) = -9*t - 2. Let g(w) = w**2 + 8*w + 8. Let a = -8 + 2. Let r be g(a). Calculate the remainder when y(r) is divided by 9.
7
Let m = 3193 + -3182. Let b(q) = -5*q**3 + 3*q**2 - 3*q + 1. Let p be b(2). What is the remainder when 2/(-4)*2 - p is divided by m?
10
Let p be (-935)/20 + (-5)/20. Let g = p - -72. What is the remainder when g is divided by 9?
7
Let u = 114 - 43. Suppose -4*v - 4*s = -384, 0 = 3*v + s - 214 - 66. Suppose 16 = 6*f - v. What is the remainder when u is divided by f?
17
Suppose 4*z = 7*z - 12. What is the remainder when 4 is divided by 2/(z*4/32)?
0
Let h(w) = w**3 + 30*w**2 - 31*w + 36. Calculate the remainder when 141 is divided by h(-31).
33
Suppose -2*i = 3*h - 4, 2*h = -17 + 13. What is the remainder when i is divided by 1?
0
Let w(g) be the third derivative of -g**4/3 - 15*g**3/2 + 31*g**2. Calculate the remainder when 66 is divided by w(-10).
31
Let r = -40 - -47. Suppose -g - r = -4*t, g - 1 - 6 = -3*t. What is the remainder when (-10)/4*(-3 - -1) is divided by t?
1
Suppose 3*h + 22 = o, -4*h - 17 - 21 = 3*o. Let s = h + 11. Suppose 0 = -2*n - 3*l - 0*l + 61, -91 = -2*n + s*l. What is the remainder when n is divided by 13?
12
Let b = -170 - -264. Let j = 102 - b. Calculate the remainder when 26 is divided by j.
2
Let n be (-28)/(-8) + (-5)/(-10). Suppose 2*s - 30 - n = 0. Calculate the remainder when 31 is divided by s.
14
Let x = -4 - -9. Let v = 3582 + -3578. Calculate the remainder when x is divided by v.
1
Let u = 55 + -25. Let b = u - 17. What is the remainder when 23 is divided by b?
10
Suppose -3*g - 85 = -5*v, 2*g + 0*v = 4*v - 60. Calculate the remainder when -27*(-2)/(11 - 5) is divided by g/(-8)*(-16)/(-10).
1
Suppose -4*n + 8*n = 12. Suppose u = -0*u - n*z + 18, 4*u - 72 = 4*z. Let q = u + -11. Calculate the remainder when 27 is divided by q.
6
Let g(b) = 2*b**3 - 2*b**2 - 5*b + 3. Let k be g(3). Suppose 4*x - k = 12. Calculate the remainder when (-3545)/(-45) + 2/x is divided by 20.
19
Suppose 30*p - 568 = 422. Calculate the remainder when 228 is divided by p.
30
Suppose 13 = -j - z, 5*j + 51 = -z + 3*z. Let g(u) = -11*u**2 + 11 + 0*u**3 - u**3 + 0*u**3 + 0*u**3. Calculate the remainder when 18 is divided by g(j).
7
Let s(z) = -z + 48. What is the remainder when 114 is divided by s(8)?
34
Let h(b) = 28*b - 20. Calculate the remainder when 510 is divided by h(3).
62
Let l(b) = -b**2 + 11*b - 28. Let r be l(6). Suppose 4*m + 5*z - 2*z = 1, r*m + 2*z = 0. What is the remainder when 2 + -1 + 4 + -1 is divided by m?
0
Suppose 4*l + 2*u - 38 = 82, -l = -5*u - 41. Suppose -5*q = 2*s - 18, 2*q = -3*s - s + 4. What is the remainder when (28/(-12) - s)*-45 is divided by l?
29
Let q be 28/3 - 2/(-3). Suppose v = -4*v + q. Suppose -5*y + 27 = 4*r, -5*r + v*y + 75 = -0*y. What is the remainder when r is divided by 7?
6
Let d = -498 + 536. What is the remainder when 415 is divided by d?
35
Let b be (-18)/(-27) - (-4)/(-6). Suppose b*d - 33 = -3*d. What is the remainder when 30 is divided by d?
8
Suppose 10*o = 7*o. Suppose o = -6*v + v. Suppose -4*y + 0*y + 80 = v. Calculate the remainder when 78 is divided by y.
18
Let q(w) = -w + 16 - 13 - 8. Let z be q(3). What is the remainder when z/(-10) + 5715/75 is divided by 16?
13
Let q(g) = 4*g**2 - 14*g - 10. Let r(s) = s**2 - 18*s - 12. Let c be r(19). What is the remainder when q(c) is divided by 24?
16
Suppose 4*g - 3 = -7. Let y(c) = -c**3 - c**2 + c. Let f be y(g). Calculate the remainder when 37 is divided by (-1 + 21)*f/(-2).
7
What is the remainder when (1 + (-43)/(-3))/(17/102) is divided by 81?
11
Suppose 0 = j - 5*d - 19, 0 = -j + 2*d + 2 + 5. Calculate the remainder when 0 + 2 + 34 - 3 is divided by j/((4/9)/(-4)).
6
Let s(j) = -3*j + 6. Let m be s(-4). Suppose 14*d - m*d = -276. What is the remainder when d is divided by 14?
13
Suppose -435*j - 62 = -437*j. Calculate the remainder when 246 is divided by j.
29
Let p = -36 + 38. Suppose 0*c = p*c - 182. Calculate the remainder when c is divided by 23.
22
Suppose -2*x = 5*o + 10, 2 = -x + 2*x - o. Suppose 0 = 3*z - x*v + v - 91, 4*z - 4*v = 116. Calculate the remainder when 57 is divided by z.
27
Suppose -4 = d, 5*w - 3*d + 11 = -2*d. Let y(l) = 2*l**2 + l + 5. What is the remainder when y(-4) is divided by ((-34)/4)/(w/6)?
16
Suppose 0*d - 3015 = -45*d. What is the remainder when d is divided by 12?
7
Let m be (-3)/(213/(-102) - -2). Suppose -124 - m = -2*f. Calculate the remainder when f is divided by 28.
23
Let f = 1101 + -934. Calculate the remainder when f is divided by 34.
31
Suppose 228 = -40*s + 43*s. What is the remainder when s is divided by 27?
22
Suppose -5*f + 74 = 4*q, -2*f + 2*q + 27 = q. Let l(y) = -y**2 + 10*y - 16. Let h be l(7). Calculate the remainder when h + -3 + 159/3 is divided by f.
13
Calculate the remainder when (6/9)/(6/297) is divided by 3/21 + (-34)/(-7).
3
Let m(w) = 22*w - 86. Calculate the remainder when 116 is divided by m(5).
20
Let d(g) = g**3 - 12*g**2 + 13*g - 13. Let l be d(11). What is the remainder when l/(-54) + 662/12 is divided by 19?
17
Let v = -1054 - -1089. What is the remainder when 93 is divided by v?
23
Suppose -o - 2*m - 83 = -2*o, -2*m - 326 = -4*o. Let q(l) = l**3 + 10*l**2 - 45*l