ded by b.
6
Let a = -476 + 481. Suppose 0 = -x + 4*x + 2*j - 54, -x + a*j + 35 = 0. What is the remainder when 36 is divided by x?
16
Let w be 224/(-392) + (-202)/(-7)*3. Suppose -y + w = 2*o, 490 = 5*y - 11*o + 6*o. What is the remainder when y is divided by 14?
10
Suppose 156 = 6*y + 132. What is the remainder when 31 is divided by (4 + (34 - y))/2?
14
Let f(b) = -3*b**2 + 5*b + 43. Let k be f(8). What is the remainder when 0 - (4 + (k - 1)) is divided by 27?
25
Suppose 0 = -29*s + 15*s + 8078. Suppose 5*p + 2*k - 4*k = 960, -k - s = -3*p. Calculate the remainder when p is divided by 100.
94
Let k = -32 - -55. Suppose -1 = 11*c + 76. Calculate the remainder when (-3 - c)/(6/63) is divided by k.
19
Let a be 2/4*(-7 - -305)/1. Suppose 63*g = 64*g - a. Calculate the remainder when g is divided by 30.
29
Let n(f) = 4*f**2 + 2*f - 5. Let m(h) = -h**2 - 113*h + 619. Calculate the remainder when n(5) is divided by m(-118).
18
Let g(m) = -50*m - 463. Calculate the remainder when g(-22) is divided by 31.
17
Suppose 73 = 6*y + 7. Let q(u) = u**3 - 10*u**2 - 11*u + 5. Suppose -47*t - 52 = -48*t. Calculate the remainder when t is divided by q(y).
2
Let b(u) = -339*u - 6028. What is the remainder when b(-21) is divided by 353?
32
Let x(h) = 2*h + 20. Let t be x(11). Let b = -32 + t. Suppose -c + b + 0 = 0. Calculate the remainder when 57 is divided by c.
7
Let f(d) = -2*d**3 + 2*d**2 + 3*d + 2. Let z be f(-3). Suppose -3*k = 4*l - 128, k - 4*l + 1 = z. What is the remainder when k is divided by 17?
14
Let r be -23 - 21*1/3. What is the remainder when r/(-70) - (4600/(-14) - 2) is divided by 7?
2
Let t = -141 + 224. Let q(k) = 2*k**2 + 8*k + 5. Let p = -5 - 1. What is the remainder when t is divided by q(p)?
25
What is the remainder when 4/((-54)/(-18495)*1*5) is divided by 84?
22
Let s be 54*(-6)/8*-4. Let v = s - 104. What is the remainder when v is divided by 20?
18
Suppose 4*i - 6 = -y + 37, 4*y + 4*i = 136. Calculate the remainder when (-3 + (-6 + 5 + 53)*-1)*-1 is divided by y.
24
What is the remainder when 1195 is divided by (20/6)/((-3)/(-30)*(-114)/(-171))?
45
Let r = 73579 + -73575. Let o = -9 + 26. Calculate the remainder when o is divided by r.
1
Suppose -3*n + 268*k + 984 = 269*k, 0 = -4*n - 2*k + 1314. Calculate the remainder when 338 is divided by n.
11
Calculate the remainder when 18562 is divided by 16/20 - ((-6)/2 - 176/5).
37
Let r be 3*6/9 - -1. Suppose 3*l = -2*m + 100, -5*l + 152 + 21 = -r*m. Let x = 48 - l. What is the remainder when x is divided by 3?
2
Let g = -15 + 26. Let u(a) = -2*a**2 + 141*a - 1002. What is the remainder when u(62) is divided by g?
8
Let a(h) = 2*h + 2232. Calculate the remainder when a(9) is divided by 743.
21
Let p be ((-976)/(-3))/2 - 70/(-210). Let o = p - 126. Calculate the remainder when o is divided by 10.
7
Let h(a) = 15*a**2 - 23*a - 8. Let b be h(4). Suppose -8*y + y + b = 0. Calculate the remainder when 79 is divided by y.
19
Suppose 3888 + 391 + 921 = 100*u. Calculate the remainder when 1602 is divided by u.
42
Let r = -2117 - -2738. What is the remainder when r is divided by 5?
1
Let j be (-1)/(60/(-104) + (-1)/(-2)). Suppose -16 = 3*h - j. Calculate the remainder when h*1 - (2 - -5)*-1 is divided by 4.
2
Let c = 150 + -148. Suppose j - 5*k = -6, -16 = j + 3*k + c*k. Let y(l) = l**2 + 13*l + 41. What is the remainder when 67 is divided by y(j)?
10
Let h = -22738 - -23386. Calculate the remainder when h is divided by 93.
90
Suppose 4*a - 5*o = 1230, -4*o + 61 = 53. What is the remainder when a is divided by 153?
4
Calculate the remainder when 830 is divided by 6 - 24*(5 + (-19)/3) - 6.
30
Suppose -4*x + 3*r = -917, -r = -2*x + 16 + 441. Calculate the remainder when 260 is divided by x.
33
Let h(v) = v**3 - 4*v**2 - 8*v - 5. Let q(u) = u**3 - 2*u**2 - 218*u + 68. What is the remainder when q(0) is divided by h(6)?
11
Let u(x) = -2*x**3 + 23*x**2 + 13*x - 8. Let n be u(12). Suppose 4*z + 3*b - 92 = 0, 21*b = -n*z + 24*b + 116. What is the remainder when z is divided by 4?
2
Let z = -3 - -8. Suppose -4*v - 23 = -z*v + 4*t, -2*t - 21 = -v. Let m(q) = -2*q**3 + 47*q**2 - 64*q + 12. What is the remainder when m(22) is divided by v?
18
Let z(g) be the first derivative of 7*g**3/3 - g**2/2 - 82. Let a = 59 - 29. Calculate the remainder when z(-4) is divided by a.
26
Suppose 550 = -16*w + 6*w. Let s be w - 2*(-2)/4. Let y = s - -74. What is the remainder when 56 is divided by y?
16
Let w(p) = 5*p - 2. Let u be w(-2). Let r(m) = -m**2 - 10*m + 28. Let y be r(u). Let i(d) = 5*d - 3. Calculate the remainder when i(y) is divided by 9.
8
Let k(w) = w**3 + 2*w**2 + w + 51. Suppose 4*a = 7*a - 5*m + 10, -2*a + 4*m - 8 = 0. Calculate the remainder when k(a) is divided by 27.
24
Let v = -56 - -61. Suppose 2*b + 3*a = 18, v*a = -13*b + 16*b - 46. Calculate the remainder when 370 is divided by b.
10
Let m = -418 + 421. Suppose h + 196 = m*p, 5*p + 0*h - 326 = h. Calculate the remainder when 259 is divided by p.
64
Let q(o) = o**2 - 43*o - 1602. Calculate the remainder when -1 + 3 + (1 - -20) is divided by q(-24).
5
Suppose -2*w - 1569 = -3*m - 4927, -m = -4*w + 6696. Calculate the remainder when w is divided by 238.
7
Let x(t) = t**2 - 11*t + 12. Let q be x(11). Suppose -q*w + 648 = -492. Calculate the remainder when 373 is divided by w.
88
Suppose 3*i - 89 = 52. Calculate the remainder when i is divided by (34/51)/((-2)/(-51)*1).
13
Suppose 27*f - 26*f + 5 = 0. Calculate the remainder when 369 is divided by 98 - (f + (3 - -1) + 6).
90
Suppose 5*o + 3*t = 3186, -5*t + 1007 = 2*o - 256. What is the remainder when o is divided by 55?
34
Let i(f) = 10*f**2 - 21*f + 56. What is the remainder when i(4) is divided by 27?
24
Suppose 5*q = 2*q + 93. Let z = q + -31. Suppose z*b = -d - 5*b + 166, -b - 434 = -3*d. Calculate the remainder when d is divided by 21.
20
Let q be (-2)/(-1)*(-1 + 40/16). Suppose 3*l + 147 = 4*n - 76, 0 = 2*n + q*l - 125. What is the remainder when 228 is divided by n?
54
Let w(v) = 22*v - 1. Let k be w(3). Suppose 61*s - k*s + 68 = 0. Suppose 15*j = s*j - 322. Calculate the remainder when j is divided by 27.
26
Let n(f) = -19*f - 693. Let k be n(-39). Suppose -4*x = h - 20, 14 = h - 2*x + 3*x. Suppose -6*z - h = -k. Calculate the remainder when 9 is divided by z.
3
Suppose 0 = -m + 5*k + 943, -4*k = -85 + 61. What is the remainder when m is divided by 13?
11
What is the remainder when 1573 is divided by (-57)/42*-26 + (-8)/28?
33
Suppose 2*b + 5*u = -7, -5*b - 17 + 67 = -u. Let y = 18 - 28. Calculate the remainder when b is divided by (-12)/y*65/13.
3
Let q(f) = -70*f - 680. What is the remainder when q(-10) is divided by 4?
0
Suppose 0 = -5*f - 5*u + 45, -5*f + 4*u + 20 = -f. Suppose -5*p + v = -23, 0 = 5*p - 3*v - 7 - 22. What is the remainder when f is divided by p?
3
Let y = 9548 - 9429. Calculate the remainder when 135 is divided by y.
16
Let z be (-1)/(2/4)*-6. Let t = z + 14. Suppose 8*k - 410 + 26 = 0. What is the remainder when k is divided by t?
22
Suppose m = -0*m + 16. Suppose 0 = -h - 2*f + 21, 0 = h + 3*f - 19 - 0. Suppose 6*v - 301 = -h. Calculate the remainder when v is divided by m.
14
Let d(v) = -19*v + 45. Suppose 214 = 2*s - 4*p, 2*s - 98 = p + 119. Calculate the remainder when s is divided by d(2).
4
Suppose -2*t + 6 = 0, 5*l - 2*t + 21 = 90. Let f be 25/l*9/(-3). What is the remainder when 435*(2 + f/3) is divided by 37?
34
Suppose -36*j + 19952 + 489 = -1087. Calculate the remainder when j is divided by 9.
4
Let g = -248 + 251. Suppose 3*d - 60 = -g*w, -2*w = -7*d + 6*d + 23. What is the remainder when 36 is divided by d?
15
Let m = -287 + 312. Suppose -m*o + 123 = -22*o. What is the remainder when 95 is divided by o?
13
Let j(v) = -3*v**3 - v**2 - 55*v - 294. Calculate the remainder when j(-5) is divided by 264.
67
Let o = 8487 + -8611. Suppose -266 - 369 = -5*k. Let l = o + k. Calculate the remainder when 14 is divided by l.
2
Suppose -20 = 8*j + 2*j. What is the remainder when 225 is divided by j*(174/(-12) + -9)?
37
Let r = 8755 + -8486. What is the remainder when r is divided by 97?
75
Suppose -24*y - 218 + 1575 = 181. What is the remainder when 538 is divided by y?
48
Suppose 63 = -y + 74. Let l(v) = v + 4. Let f = -5 + 8. What is the remainder when y is divided by l