v) = v**3 + 22*v**2 + 98*v + 34. What is the remainder when m(-15) is divided by (-18)/(-15)*(-70)/(-3)?
27
Suppose -5*d + 84 = 29*j - 26*j, -3*d + 56 = 2*j. What is the remainder when 94 is divided by j?
10
Suppose -11 = 18*i - 101. Let o be 1 + -1 - (-413)/1. Suppose -112 = -i*y + o. What is the remainder when y is divided by 27?
24
Let w be 4 + 74/(-8) - 2/(-8). What is the remainder when 2 - (-22 - (-2 + 3)) is divided by (26/6)/(w*(-1)/15)?
12
What is the remainder when 117 is divided by 3/(42/(-49))*40/(-7)?
17
Let w(b) = b + 13. Let m be w(-9). Suppose -m*r - r + 30 = -2*s, -3*r + 34 = 2*s. What is the remainder when 15 is divided by r?
7
Suppose 0 = -7*y + 38*y - 2573. What is the remainder when 663 is divided by y?
82
Suppose -87 + 131 = 4*n. Let s be (1/1)/((-2)/14). Let f = 36 - s. Calculate the remainder when f is divided by n.
10
Let u = -1748 + 1794. What is the remainder when 2666 is divided by u?
44
Suppose -6 = -q + 17. Suppose 64*b - 356 = 21*b - 46*b. What is the remainder when q is divided by b?
3
Let p = 40 - 12. Suppose 4*v = 2*f + 62, v - 5*f - 43 = -2*v. Let c = p - v. Calculate the remainder when 35 is divided by c.
11
Suppose -434 = -45*u - 17*u. What is the remainder when (-105)/(-9) + 4/(-6) is divided by u?
4
Let h(p) = p + 6. Let n be h(-3). Let z(m) = 10*m - 39. What is the remainder when z(6) is divided by 0 + (n - (-7 + 2))?
5
Suppose -18 = -r + 4. Calculate the remainder when (-2)/((-6)/15 + 2356/6665) is divided by r.
21
Let d = 11 + -8. Suppose -d = -4*o + 5. Suppose o*v = 2*m + 42, 0*v + v - 5*m - 33 = 0. What is the remainder when 33 is divided by v?
15
Suppose 0 = -17*r + 6492 - 457. Calculate the remainder when r is divided by 89.
88
Suppose -d - 13 = 4*o, 10*d - 25 = 5*d - 2*o. Suppose d = x + 4. Suppose 3*p - k - 40 = -3*k, 46 = x*p + 5*k. Calculate the remainder when 19 is divided by p.
7
Suppose -2*n - 2*f + 186 = 0, 2*f - 3*f + 3 = 0. Calculate the remainder when n is divided by 43.
4
Let l(h) = 6*h - 6. Let k be l(9). Suppose -7*i = -5*i - k. Let r(o) = -o**2 + 19*o + 9. Calculate the remainder when r(12) is divided by i.
21
What is the remainder when 434 is divided by 86 - ((-2)/(-5))/(2/(-5))?
86
Suppose 0 = 313*b - 3060 - 4452. Calculate the remainder when (-6)/(-21) - (-640)/14 is divided by b.
22
Let m(y) = 10*y + 225. Calculate the remainder when 398 is divided by m(-20).
23
Let x(y) = 2*y**2 - 7*y + 7. Suppose 4*h = 4*c - 0*c - 96, 57 = 3*c + 2*h. Let p = c + -11. Calculate the remainder when x(6) is divided by p.
7
What is the remainder when ((-19)/(-38))/(2/296) is divided by 20?
14
Let y(r) = 3*r**2 - r - 1. Let d = 2 + 1. Let t = 138 + -125. What is the remainder when y(d) is divided by t?
10
Suppose 5*v - c = -5, 4*v - c = c - 10. Suppose -h - 4*f + 22 = v, -31 = -4*h + h - 5*f. Suppose x - h = -0*x. Calculate the remainder when x is divided by 2.
0
Let s = -548 + 593. Calculate the remainder when 58 is divided by s.
13
Suppose 4*w + w - 90 = -5*i, 0 = 4*i + 3*w - 68. Let g be i - ((-20)/4 + 3). Suppose 4*k - g = -4. What is the remainder when 8 is divided by k?
2
Suppose 0 = 3*d - 0*d - 210. Let r = -58 + 94. Calculate the remainder when d is divided by r.
34
Let l(w) = 69*w - 1. Let z be l(-1). Let k = -42 - z. Let a = 3130 - 3047. What is the remainder when a is divided by k?
27
Let o(r) = -2*r**2 - 27*r + 14. Let u be o(-14). Let j be 232/2 + 0 + 0. Suppose 4*c = -u*c + j. Calculate the remainder when 114 is divided by c.
27
Let q = 69 - 47. Calculate the remainder when 64 is divided by q.
20
Suppose -6*i + 2*x = -2*i, -5*i = -5*x + 10. Let p(s) = s**2 + 0*s**i + 14 + 7*s - 1 + 4. What is the remainder when 47 is divided by p(-7)?
13
Suppose 3*s - 147 = -3*b, -s - 3*b - 1 + 44 = 0. Calculate the remainder when s is divided by 8.
4
Suppose 9 = -3*j + 3. Let q(u) = u**3 + 3*u**2 + 4*u + 2. Let n be q(j). Calculate the remainder when (-3 - 3)/(n/9) is divided by 10.
7
Let w(u) = 2*u**2 - 2*u - 3. Let l = -4035 - -4114. What is the remainder when l is divided by w(4)?
16
Let a be (-24)/(-20)*40/(-1). Let k = a - -81. Calculate the remainder when k is divided by (-2)/(0 - (-4)/(-18)).
6
Suppose -7*z + 3*z - 183 = 3*y, -5*y = 5*z + 235. Let b = z - -102. Calculate the remainder when b is divided by 16.
12
Let z = -22 + 31. Let n = 210 + -28. Let g = 188 - n. Calculate the remainder when z is divided by g.
3
Let d = 18 - 35. Let c = d - -57. Suppose 5*q + l - 67 = 0, q = -l - 0*l + 11. What is the remainder when c is divided by q?
12
Suppose 0 = 9*x + 112 - 1435. Suppose 189 + 33 = 6*t. Calculate the remainder when x is divided by t.
36
Let g = -41 + 234. Let k = 152 + -87. Calculate the remainder when g is divided by k.
63
Let g = 5 - -16. Let l be (18/12)/((-6)/(-8)). Suppose 2*m + 4*t - t = 135, 0 = -4*m + l*t + 230. What is the remainder when m is divided by g?
18
Calculate the remainder when 372 is divided by (-808)/(-9) + 122/549.
12
Suppose 6*v - 17 - 19 = 0. Suppose -v*u + q = -u - 65, 5*u - 65 = 4*q. Calculate the remainder when 47 is divided by u.
8
Suppose a = 2*c + 12, -16 = -5*a - 0*a - c. Suppose 0 = 4*h + a*v - 7*v - 48, -5*h - 4*v + 29 = 0. Calculate the remainder when 70 is divided by h.
7
Suppose -3*h - 213 = -4*q, -3*q - 2*h - 2*h = -166. Suppose 3*v = j + 3*j + 69, -3*v = j - q. What is the remainder when 66 is divided by v?
9
Let t(o) = -5*o**3 - o**2 - o. Let m be t(-1). Suppose 43 = 5*j + m*z - 22, -z + 31 = 3*j. What is the remainder when 41 is divided by j?
5
Suppose 36*u - 124 = 32*u. Calculate the remainder when u is divided by 11.
9
Calculate the remainder when (-6)/((2/(-138))/(154/924)) is divided by (6/5)/(2/40).
21
Let b(s) = 10*s**2 + 3*s + 3. Let m(g) = -g**2 - 18*g - 59. What is the remainder when b(-2) is divided by m(-6)?
11
Suppose 24*h = 20*h - 4. What is the remainder when 47 is divided by (-126)/(-9) - (3 + h)?
11
Suppose 7*c - 135 - 544 = 0. Calculate the remainder when 245 is divided by c.
51
Suppose -14*x + 6*x + 136 = 0. Let f(v) = -v**3 + 6*v**2 + 6*v - 4. What is the remainder when f(6) is divided by x?
15
Suppose 7*k - 2*k = 10, -537 = 5*a - k. Let d = 135 + a. Calculate the remainder when 192 is divided by d.
24
Let b = -14 - 28. Let j = 46 + b. Calculate the remainder when j is divided by 2.
0
Suppose 0 = 5*o - 5, 4 + 1 = 2*p - 3*o. Suppose -p*w - 4 = -5*w, 43 = h + 5*w. Calculate the remainder when 251 is divided by h.
21
Let a = 559 - 534. Calculate the remainder when 235 is divided by a.
10
Suppose 4*h - k = 9*h - 109, -3*h - k = -67. What is the remainder when 1490 is divided by h?
20
Let f be (-210)/(-55) + (-4)/(-22). Suppose c - 85 = -2*r + 51, -f*c + 268 = 4*r. Calculate the remainder when r is divided by 4 + 27/3 + 1.
13
Let x = -77 + 87. What is the remainder when 49 is divided by x?
9
Suppose -14*i = 4*i - 1674. Calculate the remainder when i is divided by 62.
31
Let g = 165 - 116. Suppose 44*h - g*h = -1580. Calculate the remainder when h is divided by 53.
51
Let y = 39 + -15. What is the remainder when y is divided by 9?
6
Let l(r) = 7*r - 10. What is the remainder when l(9) is divided by (1 + (-9)/2)/((-9)/36)?
11
Let z(b) = b**3 - 11*b**2 - 6*b - 22. Calculate the remainder when z(12) is divided by (-2)/(-2*4/44).
6
Let s = -7 - -45. Let j = s + -31. What is the remainder when 13 is divided by j?
6
Suppose -11 - 1 = -2*m. Suppose 4*j - 24*u - 37 = -19*u, -3*j + 3*u + 27 = 0. What is the remainder when (m/(-9))/((-2)/69) is divided by j?
7
Let c(p) = 34*p - 7. Let u be (-2)/(4 + 0 - 5). Let y be c(u). Suppose m = 2*m - y. What is the remainder when m is divided by 16?
13
Let q = -671 + 939. Calculate the remainder when q is divided by 45.
43
Let u = -59 - -168. What is the remainder when u is divided by 27 - (-1 + 0 - 0)?
25
Suppose 4*p - 6*l = -2*l + 192, 3*p - 134 = 5*l. Calculate the remainder when p is divided by 15.
8
Let m(z) = -z + 11. Let u be m(7). Suppose u*p - 36 = 2*p. What is the remainder when 68 is divided by p?
14
Suppose -786 = 6*u - 906. Calculate the remainder when 39 is divided by u.
19
Suppose 0 = y - 1, -5*y + 125 = 3*l. Calculate the remainder when l is divided by 16.
8
Suppose 2607 = 10*o - 693. Calculate the remainder when o is divided by 83.
81
Suppose 0 = -4*x + 4*y + 52, 2*y + 0 - 34 = -2*x. Ca