 48*f = 4*c - 88. What is the remainder when 9514 is divided by c?
14
Suppose 3*r = r + 24. Calculate the remainder when 2409/187 + 9 + 2/17 is divided by r.
10
Let r = -10548 + 10632. What is the remainder when 2180 is divided by r?
80
Let u(x) = 23*x**3 + 2*x**2 - 1 - 2*x**2 + x**2 + 2*x + 0*x**2 - x. Suppose 0 = 4*m - 5*q + 7*q, m + 9 = -5*q. What is the remainder when 82 is divided by u(m)?
10
Suppose -78 = -9*v + 309. Calculate the remainder when v - (3 - 3/(-6)*4) is divided by 5.
3
Suppose 0 = 6*x - 16534 + 16192. Calculate the remainder when 238 is divided by x.
10
Suppose 5*h - 3*h = -8. Let y(s) = -8*s + 1. Suppose 12*o - 411 = -195. Calculate the remainder when y(h) is divided by o.
15
Let j(q) = 2*q**2 + 52*q + 11. Let o be j(-26). Suppose o = t + 1. What is the remainder when 53 is divided by t + 3 - (-3 + (0 - -1))?
8
Let a(y) = 276*y + 20819. Calculate the remainder when 1171 is divided by a(-75).
100
Let i(s) = 3*s**2 - 12*s + 34. Suppose 11*d = 5*d + 222. Suppose 0 = -5*h - 2*o + 73, 4*h + 2*o = d + 21. Calculate the remainder when i(3) is divided by h.
10
Let y(z) = -6*z - 2. Let c = 117 + -121. What is the remainder when 52 is divided by y(c)?
8
Let c(d) = 2*d**2 - 20*d + 318. What is the remainder when c(26) is divided by 129?
118
Let p = -20863 + 20879. Calculate the remainder when 2287 is divided by p.
15
Suppose 2*d = 8*d + 4*d. Suppose 5*y + 5 = d, 2*y + 100 = 4*j - 2*y. Calculate the remainder when j is divided by 14.
10
Suppose 381*u = 368*u + 299. Let m(k) = -11*k + 2*k**3 + 7*k**2 + 6 - 8*k**3 + 3*k**2 + 7*k**3. Calculate the remainder when u is divided by m(-11).
5
Let s(q) = 18*q - 19*q - 41*q + 11 - 3*q. Let b be s(7). Let k = -140 - b. Calculate the remainder when k is divided by 42.
38
Suppose 2*o - 7*c - 9 = o, -2*c = -4. Calculate the remainder when 265 is divided by o.
12
Suppose -b - 15 = -6*b. Suppose -336 = -3*o - 1235*s + 1232*s, -329 = -3*o - 2*s. What is the remainder when o is divided by b?
0
Let l(q) = 5*q + 18. Let u be l(-6). Calculate the remainder when (-1840)/(-15) - 4/u is divided by 18.
15
Let c be (3 + -1)*(5 - 1) - 4. Suppose -2*b - c*o + 114 = -12, 199 = 3*b - 4*o. Calculate the remainder when b is divided by 23.
19
Let b be 23*2/7 - (-123)/287. Suppose b*m - 520 - 446 = 0. Suppose -3*p + 69 = h, -h + m = h - 3*p. Calculate the remainder when h is divided by 20.
9
Suppose -45*y + 39*y = -48. Suppose 0 = y*l - 360 - 40. Calculate the remainder when l is divided by 33.
17
Calculate the remainder when 309 is divided by 7 - (-16 - (269 + 5)) - (4 - 1).
15
Suppose -2*c = -v + 4 + 10, -5*v - 5*c + 115 = 0. Suppose 3*p + 4*h + 164 = 6*p, -4*h = v. What is the remainder when 143 is divided by p?
47
Let v(z) = 10*z - 9. What is the remainder when v(8) is divided by (-5)/(-30) + -4 + (-717)/(-18)?
35
Let c(v) be the third derivative of 5*v**4/24 - 26*v**3/3 - 46*v**2. Calculate the remainder when ((-1)/2)/(1/(-106)) is divided by c(16).
25
What is the remainder when ((-70)/(-49))/(1*(-5)/(-1085)) is divided by 13?
11
Let k be -812 - 22 - (6 + 1). Let b = k - -865. What is the remainder when 693 is divided by b?
21
Let m be (-22 + -2)/(-3) - 2. Suppose -3*p - 71 = -y, 319 = 4*y - m*p + p. Let c = 20 + 25. Calculate the remainder when y is divided by c.
41
Let a be 3/9 - 3/9. Suppose a*b - 23 = -b. Let s = 2053 - 2040. What is the remainder when b is divided by s?
10
Let s(g) = 3*g**3 + 353*g**2 + 225*g - 971. What is the remainder when s(-117) is divided by 11?
5
Suppose 26*k - 96 = -18. Suppose 5*b - 2 = k*b, -3*b = -q + 5. What is the remainder when 151 is divided by q?
7
Suppose -14 + 3 = -2*p + 5*l, -4*l = -11*p + 178. What is the remainder when 48 is divided by p?
12
Let q(l) = l**3 - 4*l**2 + 4*l + 1. Let w = 18 + -16. Suppose -5*t + 0*h + 149 = 2*h, -50 = -w*t - 4*h. Calculate the remainder when t is divided by q(4).
14
Suppose -4*z = -59 - 85. Suppose -l + z = 2*l. Let c = -130250 - -130282. Calculate the remainder when c is divided by l.
8
Let q(s) = 5*s - 27. Suppose 2*b - 250 = -4*g, -b - 53 - 122 = -3*g. Calculate the remainder when g is divided by q(7).
4
Let o(c) = c**3 - 28*c**2 - 95*c - 259. What is the remainder when o(32) is divided by 32?
29
Let u(l) = l**2 + 3721*l + 201652. Let y(b) = -20*b + 3. Suppose -4*v - z - 11 = 0, -2*v + 0*v - 2*z = 4. What is the remainder when y(v) is divided by u(-55)?
19
Let w(i) = i**3 - 12*i**2 - 11*i + 19. Let a = 25 - 54. Let b = a + 41. What is the remainder when w(13) is divided by b?
9
Let h be (-4)/(-6) + 15/(-9) - 166. Let i = 35 + h. Calculate the remainder when 39 is divided by (-3)/(54/i) - (-4)/6.
7
Suppose -486 = -3*y - d - 371, -60 = -y + 4*d. Let q(c) = -3*c**2 + 9. Let g be q(-8). Let t = -106 - g. What is the remainder when t is divided by y?
37
Suppose 3*d = 5*r - 2*d - 35, -4*r - d = -13. Suppose -4*l = -2*o - 202, -r*l + 0*o + 197 = 3*o. What is the remainder when 193 is divided by l?
43
Let y(m) = m**2 + 28*m + 37. Let u(c) be the second derivative of c**5/20 + c**4/4 - c**3/2 + 11*c. What is the remainder when y(-28) is divided by u(2)?
9
Let r(s) = -s**2 + 23*s + 2023. Calculate the remainder when r(-32) is divided by 260.
3
Let l(c) = -160*c - 550. Calculate the remainder when 266 is divided by l(-4).
86
Suppose 11*u + 22 - 132 = 0. What is the remainder when 66 is divided by (20/(-8) + 5)*92/u?
20
Let i = 27 + 9. Let s be -6*((-2)/(-6) - i/54). Suppose -s*c + 2*z - 5*z = -97, -2*c + 101 = -z. What is the remainder when 247 is divided by c?
47
Let c(n) be the first derivative of n**3 - 14*n**2 - 13*n - 14. Suppose -2*r + 36 = 4*w, -r - 6 + 4 = -3*w. Calculate the remainder when 19 is divided by c(r).
5
Let t be (-7)/(-14)*(-5 + 31). Let q(b) = b**3 - 7*b**2 - 61*b + 30. Calculate the remainder when q(t) is divided by 65.
56
Suppose -12*n - 14*n = -116 - 716. Calculate the remainder when 13368 is divided by n.
24
Suppose 6 = 2*h + 8*f, -573*h = -576*h - 4*f + 33. Let n(d) = 6*d**2 - 6*d - 2. Calculate the remainder when n(-4) is divided by h.
13
Suppose 18 = 2*n - 2*y, 4*n - 8*y + 3*y - 39 = 0. Suppose 9*l - n*l = 318. Let a = -25 + 52. What is the remainder when l is divided by a?
25
Suppose -48*r + 130*r - 269496 = -146*r. Calculate the remainder when r is divided by 78.
12
Suppose 3*d - 70 = 38. Let s be (2*8)/(32 + -31). Suppose 0 = 7*k - s*k + d. Calculate the remainder when 13 is divided by k.
1
Suppose -c + 463 = p, -5*p + 26*c + 2265 = 21*c. What is the remainder when p is divided by 14?
10
Suppose -27*c + 25*c + 68 = 4*s, 4 = c. Suppose -2*n + 4*n - 82 = 0. Calculate the remainder when n is divided by s.
11
Let o = -62308 + 62320. Suppose 0*w - 756 = -4*w. What is the remainder when w is divided by o?
9
Let y = -187 + 713. What is the remainder when y is divided by 89?
81
Suppose 2*j - 4*u - 188 = 0, -2*j - 8*u = -11*u - 194. Calculate the remainder when j is divided by 30.
16
Let p(u) = -u**3 + 3*u**2 - 2*u. Let c be p(2). Suppose 9*f - 4*f - 2*w = 389, 4*f - 3*w - 307 = c. What is the remainder when f is divided by -2*(-1 - 7) - 0?
15
Calculate the remainder when (-589 - -664)/((-1)/(-3)) is divided by 58.
51
Suppose -4*w = -3*l - 3872, -4*l = 5*w - 3*l - 4821. What is the remainder when w is divided by 81?
74
What is the remainder when 909 is divided by -1 + 79 + (16 + -23 - -3)?
21
Suppose -2*p - c = -610, -610 = -2*p - 9*c + 11*c. Calculate the remainder when p is divided by 99.
8
Suppose -3*v - 257*a + 59 = -252*a, 0 = 2*v - 3*a - 52. Calculate the remainder when 1047 is divided by v.
12
Let n(k) = 84*k**2 - 1. Suppose -34 = -h - 3*l, 4*h - 215 - 6 = 5*l. Let j = h - 50. Calculate the remainder when n(j) is divided by 14.
13
Suppose -17*n - 56 = -24*n. Let l(u) = 3*u**2 - 2*u + 1. What is the remainder when l(n) is divided by 9?
6
Suppose -s + 0 = -0. Let d(f) = -2 - f**3 + 5*f**2 - 10*f + 6*f + s + 8*f. Calculate the remainder when 53 is divided by d(-2).
17
Let y be (88/(-33))/((-1)/((-318)/(-4))). Suppose y*i = 207*i + 110. Calculate the remainder when 237 is divided by i.
17
Let r = 2797 + -2761. Calculate the remainder when 825 is divided by r.
33
Let y = -513 - -4288. What is the remainder when y is divided by 199?
193
Suppose -3*y + 3*w + 1644 = 0, 2*y - y - 2*w - 547 = 0. Calculate the remainder when 