 3*s + 12 + 12 = 0, 2*s = 4*t + 40. Let y be (-30)/8*(-32)/t. Let d = y + 19. Calculate the remainder when 34 is divided by d.
7
Let q = 870 + -794. Calculate the remainder when 300 is divided by q.
72
Let x(k) = 2*k**2 - 2 - 2*k**2 - k**2 + 2*k**2 - 3*k. Let y be x(4). Suppose -123 = y*l - 5*l. What is the remainder when l is divided by 21?
20
Let j(u) = -u**3 - 4*u - 28. Calculate the remainder when j(-4) is divided by 12.
4
Suppose 80 = -2*r + y, -3*y = -4*r - 180 + 20. Let p = -26 - r. What is the remainder when p is divided by 6?
2
Let h(s) = -s**2 - 2*s + 6. Let i be h(-6). Let x = i + 4. Let o = 26 + x. What is the remainder when 21 is divided by o?
9
Let h(n) = n**2 + 3*n + 3. Let v(w) = w**2 + 7*w + 5. Let f be v(-5). What is the remainder when 37 is divided by h(f)?
11
Let z(n) be the third derivative of -n**4/6 - 13*n**3/6 - n**2 + 21*n. Let f = -90 + 142. What is the remainder when f is divided by z(-10)?
25
Suppose -3*v = -2*i + i + 67, 0 = -4*i - 4*v + 252. Suppose 5*s = 4*o + 69, 2*o - 37 + 13 = -2*s. Calculate the remainder when i is divided by s.
12
Suppose 2*x - 40 = -4*z, 45 = -0*x + 2*x - z. Suppose -5*h + 6*h - 42 = 0. Calculate the remainder when h is divided by x.
20
Let a(w) = w**2 - 9*w + 3. Let y(u) = -u**2 - 10*u + 10. Let v be y(-10). Let c(f) = -2*f + 1. Calculate the remainder when a(v) is divided by c(-2).
3
Suppose -4*k - 5*c = -26, 4 = 2*k + 157*c - 153*c. What is the remainder when 69 - (1 - 0/1) is divided by k?
12
Let t = -24 + 42. Suppose h - g = 2*g + 22, 4*h + 3*g - 118 = 0. Calculate the remainder when h is divided by t.
10
Let a(t) = t**3 + t**2 + 2*t + 12. Let r = 6 + -1. Calculate the remainder when a(0) is divided by r.
2
Suppose -4*d + 208 = -0*d. Suppose -d = -5*m + 3. What is the remainder when 5/(-30) + 0 + 242/12 is divided by m?
9
What is the remainder when ((-144)/112)/((-2)/(-7))*-14 is divided by 16?
15
Suppose 0 = 3*x - 0*o + 4*o - 21, x - o - 14 = 0. Calculate the remainder when 635 is divided by x.
8
Let m(c) = c**3 + 18*c**2 - 23*c + 15. Calculate the remainder when m(-19) is divided by 36.
19
Let v = 19 + 3. Let l = v + -18. Suppose -4*p + l*o + 22 = o, 5*p + 3*o = 41. What is the remainder when p is divided by 5?
2
Let d(i) = 12*i + 219. What is the remainder when d(-5) is divided by 20?
19
Suppose -c - 65 = -2*a, 15 + 13 = a + 4*c. Suppose 0 = -5*z + 12 + 78. What is the remainder when a is divided by z?
14
Let o(v) = v**2 + 18*v + 15. Calculate the remainder when o(-21) is divided by 29.
20
Suppose -10 = -3*z - 4. Suppose -z*g + 31 = 3. Calculate the remainder when 69 is divided by g.
13
Let v = 186 - 182. Calculate the remainder when 115 is divided by v.
3
Let b be (-1 - -1)/(1 + 1). Let s be b*(-2)/((-8)/2). Suppose -4*w + 2*w + 24 = s. Calculate the remainder when 33 is divided by w.
9
Let d = -30 + 55. Calculate the remainder when -5*((-852)/35 + 12/84) is divided by d.
21
Suppose -4*f - 12 = -4*o + 232, 5*o - 3*f - 305 = 0. Calculate the remainder when 179 is divided by o.
57
Calculate the remainder when (2 + -89)/(3 - (-66)/(-20)) is divided by 74.
68
Suppose 4*m + 60 = 3*l + 341, -5*l = 4*m - 257. Calculate the remainder when m is divided by 39.
29
Let i be ((-2)/(-3))/((-4)/(-66)). Suppose 5*o = n + 17, 4*o + n = i - 1. Suppose 0 = -o*m + m + 12. What is the remainder when 14 is divided by m?
2
Let t = -1033 - -1148. Let o = 54 + -25. Calculate the remainder when t is divided by o.
28
Let d = 117 + -27. Calculate the remainder when d is divided by (-126)/(-4) - 17/34.
28
Let z(s) = s**2 + 9*s + 8. Let v be z(-8). Suppose 3*a + v*a - 27 = 0. What is the remainder when ((-6)/4)/(6*4/(-272)) is divided by a?
8
Let w be (1 - -6)*(-60)/(-42). Calculate the remainder when w*((-20)/(-8))/1 is divided by 9.
7
Let v(i) = -17*i + 186. What is the remainder when 347 is divided by v(8)?
47
Suppose -430 = -3*t - 4. What is the remainder when t is divided by 14?
2
Let a(k) = 2*k + 5. Suppose 9*v - 47 = -2. Suppose -6 - 49 = -c + 3*j, -2*j = -v*c + 249. Calculate the remainder when c is divided by a(6).
15
Suppose 0 = -22*j + 20*j. Suppose 5*z - 83 = -y - 0*z, j = y + 3*z - 87. Calculate the remainder when y is divided by 16.
13
Suppose 0 = 12*m - 6318 - 714. Calculate the remainder when m is divided by 84.
82
Let y(t) = t**3 + 6*t**2 - 4*t - 21. Let h be y(-6). Let r(i) = 72*i**2 - 1. What is the remainder when r(-1) is divided by (-2 - 1)/(h/(-36)*2)?
17
Let l(d) = -79*d + 3. Suppose 9 = -3*u + 2*o - 0*o, -u + 2*o - 7 = 0. What is the remainder when l(u) is divided by (-4)/(-14) - (-145)/7?
19
Calculate the remainder when (2/(-8 + 10))/((-2)/(-134)) is divided by 22.
1
Suppose 2 = -3*c + 4*c. Calculate the remainder when 12/5 + (-2)/5 is divided by c.
0
Let x(s) = 17*s + 6. Suppose -b = -4*n - 6*b + 21, 5*n = 5*b + 15. Calculate the remainder when x(n) is divided by 13.
9
Let q(a) = -a**3 - 6*a**2 - 3*a + 8. Suppose 3*j - 169 = -4*l, 0 = 4*l - 5*j - 134 - 11. Calculate the remainder when q(-7) is divided by l.
38
Let n = 354 + -321. What is the remainder when 230 is divided by n?
32
Let j be (-9)/21 + 102/42. Suppose j*i + 9 = 2*o - 23, -2*o + i = -37. What is the remainder when 60 is divided by o?
18
Let b be ((-5)/(-6) - (-4)/(-8))*138. Let u = b - 23. What is the remainder when u is divided by 6?
5
Let h(r) = 146*r - 212. Calculate the remainder when h(6) is divided by 9.
7
Suppose 59*x - 742 - 438 = 0. What is the remainder when 258 is divided by x?
18
Suppose 4*r = 8, -3*o + 5*o - 4*r = 2650. What is the remainder when o is divided by 36?
33
Let p = 3 + 2. Suppose 90 = 6*x - x + 55. What is the remainder when x is divided by p?
2
Suppose 5*y - 375 = 3*l, -5*y - 2*l + 514 - 139 = 0. What is the remainder when y is divided by 64?
11
Let f = 11 + -6. Suppose -f*m + 39 = -2*m. Suppose -4*c = -c - 24. Calculate the remainder when m is divided by c.
5
Let u = 49 - 48. Suppose -4*f + 5*f = u. What is the remainder when 3 is divided by f?
0
Let d = -21 - -70. Let t = d + 114. What is the remainder when t is divided by 41?
40
Let b(a) = -a. Let w be b(-2). Let m(v) = -v - 32. Let r be m(-12). What is the remainder when 29 is divided by (4/w)/((-5)/r)?
5
Suppose 0 = 2*s - 4*w + w - 33, -2*s + 45 = w. Calculate the remainder when 36 is divided by s.
15
Suppose 5*n = -3*d + 737, 2*d - 637 = 2*n - 167. What is the remainder when d is divided by 51?
35
Suppose -i - 20 = -3*i. Suppose 5*z - 25 = 4*d, -2*z + i = -3*d - 0*d. Suppose -3*p - 20 + 77 = d. What is the remainder when p is divided by 10?
9
Let h(q) be the third derivative of -q**4/24 + 13*q**3/6 - 3*q**2. Let k be h(9). Suppose 0 = -k*i + i + 24. What is the remainder when 30 is divided by i?
6
Suppose 132 = n - 3*g, 0*n - 3*n + g = -372. Suppose 5*i - 272 - n = 0. What is the remainder when i is divided by 20?
19
Let o be (-4)/18 - 2492/(-36). Suppose -v - o = -x, -3*v + 2*v = 0. What is the remainder when x is divided by 4?
1
Let a = -2 + 6. Let c = 4 + -2. Suppose a*d = -c*f + 42, 5*f = -3*d - 49 + 126. What is the remainder when f is divided by 8?
5
Suppose s - 11*m = -7*m + 623, 2*m + 1859 = 3*s. Calculate the remainder when s is divided by 78.
73
Let x = -38 - -46. Let v(t) = -t**2 + 10*t - 12. Calculate the remainder when v(5) is divided by x.
5
Let r be 6/45*-3*-5. Let c(p) = 9*p**2 + 4*p - 1. Calculate the remainder when c(r) is divided by 11.
10
What is the remainder when (62 + -59)/(6/62) is divided by 17?
14
Let q = 159 + -8. What is the remainder when q is divided by 49?
4
Calculate the remainder when 647 is divided by (19 - (-7 + 0)) + -2.
23
Let x(v) = v**3 + 5*v**2 - 3*v. Let g(o) = -o + 11. What is the remainder when x(-5) is divided by g(7)?
3
Suppose -4*v - 4*j + 0*j = -108, -2*j + 27 = v. Let o = 2088 + -2035. Calculate the remainder when o is divided by v.
26
Let d = -576 - -588. What is the remainder when (-4)/2 + -2 + 35 is divided by d?
7
Let p be 1 + 4/((-4)/(-13)). Let x be (-246)/(-22) - p/77. Let q = x + 26. Calculate the remainder when q is divided by 13.
11
Let c = 72 + 17. Let h = 69 + -46. What is the remainder when c is divided by h?
20
Let o(z) = -z**3 - 9*z**2 - 4*z + 9. What is the remainder when o(-9) is divided by 15 + (-6)/(-2) - -5?
22
What is the remainder when 424 is divided by (-427)/(-5) - 2