) = 243*m**3 - 2*m**2 + 4*m - 1. What is the remainder when a(1) is divided by 51?
40
Suppose -x + 5*x + c = 117, 0 = -5*x + 3*c + 159. Let l(p) = p**2 + 8*p + 11. Let i be l(-5). What is the remainder when x is divided by i/((-5)/(-2) + -3)?
6
Suppose -99*j + 1260 = -79*j. What is the remainder when 137 is divided by j?
11
Let l be 6 - -2*(-1)/2. Suppose 10*k - 725 = l*k. Suppose 2*h + 15 = z, -5*z - k = -10*z - 4*h. What is the remainder when 47 is divided by z?
22
Let q = -70 - -239. Calculate the remainder when q is divided by 33.
4
What is the remainder when (-2 - 2277/(-3))/1 is divided by 33?
31
Suppose -4*l = -2*l - 18. Suppose s - l = -0. What is the remainder when s is divided by 3?
0
Let g(y) = -35*y - 22. Calculate the remainder when (0 - -2) + 1 + 47*4 is divided by g(-2).
47
Let i = -23 - -25. Suppose -3*x + 3*n = 30, i*x = 6*x - 5*n + 42. Let s(g) = g**2 + 8*g + 3. What is the remainder when 8 is divided by s(x)?
2
Let o = 203 + -182. Calculate the remainder when 58 is divided by o.
16
Suppose -z = 4*z + 4*w - 102, 4*w - 12 = 0. Calculate the remainder when 160 is divided by z.
16
Let s(j) = 3*j**2 + 82*j + 147. What is the remainder when 1976 is divided by s(-26)?
41
Suppose 8 = 25*h - 21*h. Suppose 3*m - h*y + 62 - 538 = 0, 0 = 2*m + 4*y - 312. Calculate the remainder when m is divided by 40.
38
What is the remainder when -2 + (-2)/(-15) + (-12189)/(-45) is divided by 15?
14
Calculate the remainder when 97 is divided by ((-200)/15)/((-2)/15*5).
17
Let h = 52 + -52. Suppose -j + 7 = -r - h*r, -2*r = 2*j - 22. Calculate the remainder when j is divided by 6.
3
Suppose 224*x = 214*x + 180. What is the remainder when 573 is divided by x?
15
Let b(z) = -z**3 - 4*z**2 + 2*z + 4. Suppose -4*v - 73*d + 68*d = -203, -5*d - 57 = -v. What is the remainder when v is divided by b(-5)?
14
Let h = 130 + -23. Calculate the remainder when h is divided by 46.
15
Let g(a) = 2*a**2 - 3*a - 1. Let b(q) = q**3 - 9*q**2 + 14. Let i be b(9). Let j = -16 + i. What is the remainder when 49 is divided by g(j)?
10
Let h(m) = 2*m**3 - 5*m**2 + 8*m + 4. Suppose -3*i = 5*f - 102, i + 3*i - 136 = f. Calculate the remainder when h(5) is divided by i.
33
What is the remainder when 19056/128 - ((-10)/(-16))/(-5) is divided by 15?
14
Let o be (-3)/6*-1*2 + -117. Let a = 8 - o. What is the remainder when a is divided by 42?
40
Suppose 18*w = 23*w - 165. Suppose -4*b = -6*b + 140. Suppose -b = -4*z - n, z + n - 2*n - 15 = 0. Calculate the remainder when w is divided by z.
16
Suppose 5*k = -2*a, -2*k + 3*a = -0*k - 19. Suppose 2*v = -n + 44 + 9, k*v - 3*n - 73 = 0. What is the remainder when v is divided by 10?
9
Calculate the remainder when -3*((-15)/(-20) + 5405/(-60)) is divided by 39.
34
Suppose 3*o + 5*v = 4*o - 2, 5*v + 90 = 5*o. Calculate the remainder when 104 is divided by o.
16
Let g(c) = 16*c + 209. Calculate the remainder when g(-5) is divided by 44.
41
Suppose 147*c - 110*c = 29452. What is the remainder when c is divided by 30?
16
Let u be (24/(-28) + 0)*-21. Suppose k - u = -k. Suppose x - 12 = -3*x. Calculate the remainder when k is divided by x.
0
Let l(m) be the first derivative of -m**3/3 - 3*m**2 + 14*m - 146. Let n be ((-14)/4)/((-3)/(-6)). What is the remainder when l(n) is divided by 5?
2
Let g = 1901 + -1149. What is the remainder when g is divided by 26?
24
Let b(v) = 12*v - 608. What is the remainder when 194 is divided by b(54)?
34
What is the remainder when 183 is divided by (-9)/81 + ((-1660)/(-36) - 0)?
45
Let u be (45/(-36))/((-2)/8). Suppose u*t + 2 = 6*t. Suppose 0 = 3*a - 4 - 2, t*a = -5*z + 99. Calculate the remainder when 55 is divided by z.
17
Let t(p) = -40*p - 38. Let g(o) be the first derivative of -8*o**2 - 15*o - 3. Let n(u) = 12*g(u) - 5*t(u). What is the remainder when n(9) is divided by 21?
19
Suppose c - 8 = -0*c - l, -3*l - 12 = 0. Let a = 7032 - 6990. Calculate the remainder when a is divided by c.
6
Suppose -266*b + 273*b = 21. Calculate the remainder when 91 is divided by b.
1
Suppose y - 20 = -3*y, -y + 16 = g. Let q = 16 - g. What is the remainder when 23 is divided by q?
3
Let a be (5/(-3) - -1) + 12/18. Suppose g - 8*g + 350 = a. Calculate the remainder when g is divided by 13.
11
Suppose -12 = 4*v + 48. Let x = 63 + v. What is the remainder when x is divided by 25?
23
Let d = -7 - 12. Let s = d - -38. Suppose -19*h = -75 - 20. What is the remainder when s is divided by h?
4
What is the remainder when 32 is divided by (-33)/132*(-28 + 0)?
4
Let d = 25 + -27. Let s = d - -8. What is the remainder when 23 is divided by s?
5
Let m(i) = 5*i**2 + 2*i - 1. Suppose -191 - 87 = -2*l. Suppose -l = -4*p - 3*z, -168 = 3*p - 8*p + 2*z. Calculate the remainder when m(5) is divided by p.
32
What is the remainder when (2 + (-92)/(-12))/(3/18) is divided by 3?
1
Suppose -20 = 3*b + b. Let h(k) = k**2 + 4*k - 3. Let d be h(b). Let x = d - -5. Calculate the remainder when x is divided by 4.
3
Let q(x) = -x**2 - 21*x - 32. What is the remainder when q(-18) is divided by 8?
6
Let a(w) = -w**2 + 5*w - 2. Let l be a(3). Suppose l*y + y = 45. Suppose -4*o = -y*o + 90. Calculate the remainder when o is divided by 5.
3
Let n = -34 + 34. Suppose 0*q - 2*q + 20 = n. Let a(v) = 6*v**2 - 2*v. What is the remainder when a(-2) is divided by q?
8
Suppose -388 - 879 = -7*k. What is the remainder when k is divided by 62?
57
Suppose -r = 3*r + 3*s + 68, -2*r = -5*s + 34. Let a = r + 22. Suppose -91 = -a*t + 49. What is the remainder when t is divided by 10?
8
Suppose -670 = -5*u - 515. What is the remainder when 73 is divided by u?
11
Let g(n) = 2*n**2 + n + 3. Let m be g(-2). Suppose 5*f - 10 = -4*x + m*x, 5*x = -2*f + 18. What is the remainder when (-16)/20*(-170)/f is divided by 9?
7
Suppose 5*g - 22 - 43 = 0. Calculate the remainder when 27 is divided by g.
1
Let v(o) = 9*o + 74. What is the remainder when 443 is divided by v(2)?
75
Let k be (-1)/(-3)*2*111. Let n = k - 41. Suppose 11 = -b + n. What is the remainder when b is divided by 12?
10
Let u = 434 + -378. What is the remainder when 499 is divided by u?
51
Suppose -8*c - 3*m + 142 = -3*c, 2*c = 5*m + 32. Suppose -5*y - 29 - 41 = 0. Let u = 90 + y. Calculate the remainder when u is divided by c.
24
Suppose -1057 = -7*f - 42. Let h = -129 + f. Calculate the remainder when 70 is divided by h.
6
Let j = 521 + -469. Calculate the remainder when 142 is divided by j.
38
Let q(x) = x**2 + 6*x + 19. What is the remainder when 159 is divided by q(-4)?
5
What is the remainder when 22/44*-2 + 269/1 is divided by 54?
52
Let j be (-25)/(-15)*-3 + 5. Suppose 5*y + 5*u - 130 = 0, j = -3*y - 0*y + 3*u + 72. Calculate the remainder when 97 is divided by y.
22
Let f(i) = -i - 5. Suppose 5*q + 0 = -4*k - 13, 3*q = -5*k. Let g be f(q). Suppose y - 33 - 1 = g. Calculate the remainder when y is divided by 18.
16
Suppose 15*s = 14*s + 14. What is the remainder when s is divided by 5?
4
Suppose 4*n - 5*w = 1003, -14*n + 18*n - 2*w - 1018 = 0. Calculate the remainder when n is divided by 14.
5
Suppose 5*k - 9*k = -280. Calculate the remainder when (112/k)/(2/230) is divided by 37.
36
What is the remainder when 148 is divided by ((-39)/15)/((-2)/30)?
31
Calculate the remainder when (2 + 376/(-20))*70/(-28) is divided by 17.
8
Suppose 69*x - 564 = 65*x. Calculate the remainder when x is divided by (-290)/(-12) - (-6)/(-36).
21
Suppose -10*p + 304 = 6*p. Let h(w) = -w**2 + 23*w - 9. Suppose 12 = l - 2*j, -3*j = 1 - 10. What is the remainder when h(p) is divided by l?
13
Suppose -5*o = d - 27, -3*o + 77 = 3*d - 28. Calculate the remainder when d is divided by 19.
18
Let u(z) = -z**3 + 12*z**2 - 30*z + 15. What is the remainder when 308 is divided by u(8)?
29
Let b(a) = -a**2 - 3*a + 3. Let k be b(-3). Suppose -k = -4*n - j + 12, 0 = -3*n + 3*j. What is the remainder when n + (-4 - -18 - -3) is divided by 11?
9
Suppose 3*l - 4*v = -2*l - 6, 2*l + 2*v = 12. Let m(b) = -b**3 - 5*b**l - 20*b - 1 + 10*b + b**2. What is the remainder when m(-4) is divided by 20?
19
Let f = -25 - -46. Let l be 18 - (4 - (3 - 2)). Suppose 2*c - 95 = -l. What is the remainder when c is divided by f?
19
Let j = -75 + 88. Let u = j - -5. What is the remainder when 70 is divided by u?
16
Let l(k) = 7*k - 1. Let x(z) = -3*z + 17. Let s(u) =