6. Suppose 2*c - 27 = b*f, -f = c + 4*c - 108. What is the remainder when v(4) is divided by c?
19
Let p(k) = -11*k + 19. What is the remainder when p(-3) is divided by 11?
8
Let l be ((-1053)/(-3))/3 + -3. Suppose 2*r - r - 4*b = l, -5*r = -2*b - 570. Let z = -74 + r. Calculate the remainder when z is divided by 21.
19
Let a(i) = 9*i**2 + 20*i - 70. Calculate the remainder when a(5) is divided by 64.
63
Let x(u) = 12 + 0*u - 5*u - 16 + 3*u. Let s be x(-3). What is the remainder when (-2 + 3)/(s/74) is divided by 20?
17
Suppose 81 = 4*x - 39. Suppose n - x = 7. What is the remainder when 109 is divided by n?
35
What is the remainder when 78*(3 + -2) + 54/(-9) is divided by 15?
12
Let w(m) = 3*m**2 - 17*m - 4. Let j be w(6). Suppose 8 = 3*b - j*b. Suppose 3*z - 2 = 4*z, 2*z - 59 = -3*o. What is the remainder when o is divided by b?
5
What is the remainder when 167 is divided by 40/180 - (-464)/18?
11
Let x be 33*(6/(-2) - -4). Let f = x - 14. What is the remainder when 30 is divided by f?
11
Let b(y) = 4*y - 58. What is the remainder when 209 is divided by b(25)?
41
Suppose 13*h - 17*h = -56. Let s(l) = -l**3 + 16*l**2 - 27*l + 9. Calculate the remainder when s(h) is divided by 6.
5
Let s be (-1 - 0)/(-2 - (-847)/427). Let o = s - 49. Calculate the remainder when o is divided by 2/(-9) + (-47)/(-9).
2
Suppose 29*u = 11*u + 234. What is the remainder when 76 is divided by u?
11
Let v(t) = 9*t + 37. Let g(u) = u - 22. Let f be g(22). Calculate the remainder when v(f) is divided by 4.
1
Let l be (674/(-8) - 0) + 6/24. What is the remainder when (-3)/(7 - -2)*l is divided by 5?
3
Suppose 2*t = -5 - 7. Let p = -9 + t. Let g = -14 - p. Calculate the remainder when 4 is divided by g.
0
Let m be ((-8)/2 - -4)/4. Suppose 4*g - g = m. Suppose -2*h - 28 = -2*p + 2*h, g = 5*h. Calculate the remainder when p is divided by 9.
5
Calculate the remainder when 114 is divided by -1 - 3*(-160)/12.
36
Let m be -1 + 4 - 0 - -69. Let p = m + -66. What is the remainder when p is divided by 3?
0
Let t(d) = 8*d - 4*d**2 + 2 + 3*d**2 - 20*d + 5. Let f be -2 + (-6 - 3) - -1. What is the remainder when 78 is divided by t(f)?
24
Suppose -51*s = -47*s - 60. Let b(w) = 104*w**2 + 2*w + 1. What is the remainder when b(-1) is divided by s?
13
Let w(p) = p**2 + 2*p + p + 4 + 5*p. Let i be w(-8). What is the remainder when 69 is divided by 10/i*144/20?
15
Suppose 0 = -2*d + n + 12, 23 = 5*d + 3*n - 2*n. Suppose 4 + 38 = o + g, 4*o = -d*g + 173. What is the remainder when o is divided by 8?
5
Suppose -192 + 1886 = 77*c. Calculate the remainder when c is divided by 3.
1
Let u(p) = p**3 - 11*p**2 - 12*p + 4. Calculate the remainder when 3/(-9) - (-92)/6 is divided by u(12).
3
Let k(d) = -d**2 - 4*d - 6. Let q be k(-6). Let z(p) = p + 30. What is the remainder when 45 is divided by z(q)?
9
Let x(s) = s**3 - 8*s**2 - 14*s - 8. Let d be x(10). Let y = d - 34. What is the remainder when y is divided by 7?
4
Let z(x) = x**3 - 20*x**2 + 22*x - 32. Let t be z(19). Suppose -4*f = -s - 100, -f + 0*s + 4*s = -t. What is the remainder when f is divided by 11?
3
Suppose 0 = -5*i - 2*c - 6, 4*i + 5*c + 15 = -0*i. Suppose i = 2*n - 2 + 10. Let h = 16 - n. What is the remainder when 76 is divided by h?
16
Suppose 15 = -5*g + 5*j, -1 = -5*g - 3*j - 0*j. Let i be g*(-3)/(-6)*-2. Calculate the remainder when (21 - -6)/(i + 0) is divided by 14.
13
Suppose -2*o + 4*o = 358. Let j(x) = -61*x**3 + 3*x + 2. What is the remainder when o is divided by j(-1)?
59
Let s(j) = -j**2 + 6*j - 6. What is the remainder when ((-5560)/92)/(-5) - ((-351)/(-69) + -5) is divided by s(4)?
0
Suppose -3*j - 32 = -5*v, 0 = 4*j + 5*v - 4. Calculate the remainder when 1 + -3 + (39 - 1) is divided by (-1*2)/(j/26).
10
Let u(t) = t**3 - 13*t**2 + t + 64. Calculate the remainder when u(14) is divided by 40.
34
Let o = 325 - 322. Suppose 5*b = 7 - 52. What is the remainder when 23 is divided by 0 + 3 - b/o?
5
Let t = -69 + 112. Let u be (32/20 + 0)/(1/(-5)). Let s(q) = -4*q - 17. Calculate the remainder when t is divided by s(u).
13
Let i = 269 + -173. Suppose -5*l + 2*l + i = 0. Calculate the remainder when l is divided by 7.
4
Let c = 887 + -884. Let v(m) = -m + 11. What is the remainder when v(0) is divided by c?
2
Let w(n) = -n**3 - 22*n**2 - 3*n - 24. Let s(r) = r**2 - 5*r - 1 + 2*r - 2. Calculate the remainder when w(-22) is divided by s(-3).
12
Let r(k) = -16*k**2 + 5 + 6*k**3 + 15*k**2 - 4. What is the remainder when r(1) is divided by 2?
0
Let q be 5 + -2 + 3 + -2. Suppose -3*j = -q*j. Suppose j*h - 35 = -h. Calculate the remainder when h is divided by 9.
8
Let t(z) = 12*z**2 - 76*z - 6. Suppose 2*i - 5*i = -39. What is the remainder when t(7) is divided by i?
11
Let d(t) = 14*t**2 + 2*t. Let l = 127 - -80. What is the remainder when l is divided by d(-2)?
51
Suppose 3*g - 81*g = -8658. What is the remainder when 401 is divided by g?
68
Let c(f) = 11*f**3 - 14*f - 12*f**3 - 35 - 53*f**2 + 72*f**2. What is the remainder when c(18) is divided by 5?
2
Let k = 30 + -30. Suppose x - 3*c + 0*c = 53, k = 3*c + 6. Calculate the remainder when x is divided by 13.
8
Suppose 0 = 3*w - 5*q + 15, -3*w + 15 = -6*w + q. Let b(h) = -2*h + 14. Calculate the remainder when 68 is divided by b(w).
20
Suppose -3*u = 20 - 2. Let k = 13 + u. What is the remainder when 13 is divided by k?
6
Suppose -96 = 82*j - 84*j. What is the remainder when j is divided by 20?
8
Let i(j) = j**2 + 2*j - 3. Let y be i(2). Suppose -3*q = t + 13 - 36, -2*t - y*q = -43. Calculate the remainder when 36/(-7)*(-49)/t is divided by 4.
2
Let q be 5 + 64/(-14) - (-3)/(-7). Let h(b) = 29 - b + 17 - 3. Calculate the remainder when h(q) is divided by 15.
13
Let t(w) = -w**3 + 4*w**2 + 5*w + 1. Let a(m) = -m + 6. Let p be a(2). What is the remainder when t(p) is divided by 8?
5
Suppose 4*y + 3*g - 22 - 90 = 0, -2*g = -2*y + 42. Suppose 31 = 4*i - u, 0 = i + 3*u - 2 + 4. Calculate the remainder when y is divided by i.
4
Let f = -79 - -155. Suppose 2*d - 92 = -3*k, -2*k + d - 6*d + f = 0. Calculate the remainder when k is divided by 10.
8
Let q be (1 + (-9)/6)*0. Suppose -3*t + 158 + 43 = q. Suppose -l + 23 = 6. Calculate the remainder when t is divided by l.
16
Suppose l = t - 32, -5*t + t + 128 = -l. Let m(u) be the second derivative of -7*u**3/3 - 3*u**2/2 + 2*u. What is the remainder when t is divided by m(-1)?
10
Let y(o) be the first derivative of -11*o**2 - 2*o - 5. Let i be y(-1). Suppose -w + 53 = -i. Calculate the remainder when w is divided by 19.
16
Suppose -23*r + 25 = -18*r. What is the remainder when (-27 + -2)/((3 - r) + 1) is divided by ((-16)/(-3))/((-2)/(-6))?
13
Suppose -7*f + 217 = 24*f. Let y = 0 - -10. Calculate the remainder when y is divided by f.
3
Let k = -1483 + 1003. What is the remainder when ((-2)/5)/(4/k) is divided by 10?
8
Let s = 130 - -7. Calculate the remainder when s is divided by 37.
26
Suppose t - 5*t - 3*n = -107, -2*n = -4*t + 82. Let k be 6*(0 + 0 - 2/(-4)). Calculate the remainder when t is divided by 14 + (169/(-65) - k/(-5)).
11
Let y = -7 - -13. Let h = 2 - -13. Let v = y + h. Calculate the remainder when 62 is divided by v.
20
Let w(s) = s**3 + 4*s**2 + 3*s. Let h be w(-2). Suppose b - h*b + 47 = 0. Let c = b + -25. What is the remainder when 64 is divided by c?
20
Let r be 2/((-8)/12) + 5. Suppose 0*t - r*t - 10 = 0, i - 3*t = 81. Calculate the remainder when i is divided by 35.
31
Let k(n) = -3*n**3 - 12*n**2 - 36*n - 28. Calculate the remainder when k(-6) is divided by 106.
86
Suppose -106 = -5*f + 144. Suppose -16 = -6*t + f. Calculate the remainder when ((-2)/4)/(4/(-336)) is divided by t.
9
Let w(m) = m - 4. Let j be w(6). Suppose j*f - 7*f + 245 = 0. Suppose 5*r - f = -9. Calculate the remainder when r is divided by 5.
3
Let n(q) = -q**3 + 17*q**2 + 38*q + 16. Calculate the remainder when 380 is divided by n(19).
12
Let g(t) = -6*t**2 - 236*t - 62. Calculate the remainder when 18 is divided by g(-39).
2
Let g(n) = -n - 4. Let o(d) = d**3 - 7*d**2 - 3*d + 21. Let f be o(7). Suppose f*k = -k + 26. What is the remainder when k is divided by g(-8)?
2
What is the remainder when -10 + 5 - (-3 + -141) is divided by 38?
25
Let n(o) = -3 - o + 10 + 3*o - o. Let k be n(-3). Let l(u) = 2*u**2 + 6*u - 3. What is the remainder wh