pose 0 = 51*f - 9078 + 153. Calculate the remainder when f is divided by 35.
0
Let x = 9839 + -9721. What is the remainder when 279 is divided by x?
43
Suppose 5 = -5*g - 45. Let f = g + 40. What is the remainder when f is divided by 12 - (27/10 - 2 - 315/(-1050))?
8
Let s(u) = -165*u + 1 + 265*u + 243*u. Let t be s(1). Suppose -3*p = -t + 125. What is the remainder when p is divided by 37?
36
Let a(u) = u**3 - 4*u**2 - 3*u - 36. Let c be (-116)/(-18) + 92/(-207). Calculate the remainder when 71 is divided by a(c).
17
Suppose 3*t - 3 + 3 = 0. Let d(o) = 11*o**2 + t*o**2 + 10 - 12 + 5*o. What is the remainder when 124 is divided by d(-2)?
28
Let q(m) = -167*m + 6864. What is the remainder when 428 is divided by q(41)?
3
Suppose -3*r + 200 = 22*r. Calculate the remainder when 140 is divided by r.
4
Let w = 435 + -306. Suppose 2*c + 693 = 761. Calculate the remainder when w is divided by c.
27
Let b = -5 - -4. Let p be (50/(-15)*15)/b. What is the remainder when 58 is divided by ((-48)/(-40))/(3/p)?
18
Let b = -132 + 186. Suppose -4*n + 112 = 4*j, 2*n = -n + 3*j + b. Suppose 1 = 2*g - n. Calculate the remainder when 19 is divided by g.
7
Suppose 31 = 2*i + 25. Suppose -i*w + 3*z = -174, 4*w + 3*z = 74 + 137. Calculate the remainder when w is divided by 86/6 - ((-20)/(-15) + -2).
10
Suppose -14 + 251 = 3*q. Calculate the remainder when 709 is divided by q.
77
Suppose 2*j - 80 = -2*c, 178*j = 174*j - 5*c + 163. What is the remainder when 1580 is divided by j?
26
Suppose -5*t + 15 = -2*n - 222, t - 3*n = 37. Calculate the remainder when 1028 is divided by t.
48
Let h be 1/(50/(-16) - -3). Let j(r) = r**2 + 11*r - 3. Let a be j(h). Calculate the remainder when 7/(-14)*(-1 + a) is divided by 4.
2
Let t = -4491 - -6107. What is the remainder when t is divided by 12?
8
Let f(l) = -156*l**2 + l - 1. Let c(v) = 5*v - 34. Let n be c(7). Let s be f(n). Let b = 270 + s. Calculate the remainder when b is divided by 29.
27
Suppose -144 = -p - d, 10*d = 3*p + 5*d - 432. Suppose 40*b - 64*b + p = 0. Calculate the remainder when 8 is divided by b.
2
Let c(m) = -11*m - 15. Let s be c(-1). What is the remainder when 7 is divided by s/(-1)*(-4 + (-36)/(-8))?
1
Suppose 0 = 5*b + 72 - 272. Suppose -b*c + 41*c = 23. What is the remainder when 78 is divided by c?
9
Let t = 93 - 82. Suppose -4*o = -t - 29. Let x = -58 - -86. Calculate the remainder when x is divided by o.
8
Let f = -1058 - -1102. Let j(d) = -d**2 - 10*d + 16. What is the remainder when f is divided by j(-11)?
4
Suppose -3*d + 50 = 62. Let o(w) = -29*w + 5. Let r(n) = 1. Let c(i) = d*r(i) + o(i). What is the remainder when c(-2) is divided by 22?
15
Suppose -3*d - 262*u = -264*u - 33016, -2*u = -d + 11008. What is the remainder when d is divided by 155?
154
Let u(r) = 4*r**2 + 11*r + 937. Calculate the remainder when u(0) is divided by 461.
15
Let z be 40/30*15/2. Suppose -z*p = -8*p - 10. Suppose -8 = -q + 2*l, -3*q + 44 = q - p*l. What is the remainder when q is divided by 9?
7
Suppose -26 = -2*p + 72. Let v(q) be the second derivative of 5*q**3/3 - 221*q**2/2 + 51*q. Calculate the remainder when p is divided by v(24).
11
Let r = -2674 + 2758. Calculate the remainder when 2015 is divided by r.
83
Let p(u) = 132*u**2 + 81*u + 82. What is the remainder when 7314 is divided by p(-1)?
132
Suppose -12*f + 0*f = 2*f - 70. What is the remainder when 2975 is divided by f?
0
Let x be (-13)/39 + ((-4)/6 - -1). What is the remainder when 14 is divided by 24/(-40)*(-5 - x)?
2
Let l = -17 - -29. Let x be -4 - 252/(-66) - 2/(-11). What is the remainder when 15/(-5) + 49 - x is divided by l?
10
Let h = -34 + 46. Let v(c) = -c**3 - 76*c**2 - 83*c - 51. Calculate the remainder when v(-75) is divided by h.
9
Suppose -70 = -9*z + 2*z. Suppose 10*j + 0 = z. What is the remainder when 247 is divided by 26/12 + j/(-6) + 60?
61
Let f be (5 - (0 + 2))/1. Let p be (11 + -7 + -24)*f/(-4). Suppose -h = 3*j - 18, 0 = 2*h - j - p. What is the remainder when 43 is divided by h?
7
Suppose 3*b - 125*n + 121*n - 164 = 0, -2*b + 101 = -n. What is the remainder when 72 is divided by b?
24
Suppose 2*a - 204 - 112 = 2*t, 2*t + 802 = 5*a. Suppose -2*w + 4*f = -a, w + 2*f = -w + 138. Calculate the remainder when w is divided by 19.
16
Suppose 302 - 317 = -3*p. Suppose -3*x - 39 + 9 = -2*h, 4*h = -3*x + 24. Calculate the remainder when h is divided by p.
4
Let m(j) = j**3 - 4*j**2 + 3*j - 4. Let f be m(2). Let r = -27 + f. Calculate the remainder when 88 is divided by (-6)/r + (-196)/(-11).
16
Let q(a) = a**3 - 4*a**2 + 2*a - 11. Let h be q(6). Suppose 4*r + 13 = h. What is the remainder when (-5)/(25/r)*(-1 + -31) is divided by 25?
21
Let z = -7240 - -7261. Suppose 4*c - c + 162 = 0. Let i = c + 135. Calculate the remainder when i is divided by z.
18
Let d(i) = -5*i**3 + 16*i**2 + 177*i - 7. What is the remainder when d(-10) is divided by 24?
23
Let h be (-13)/(52/(-224)) - 8. Suppose 0 = -287*c + 279*c + h. Let l = 68 + -30. What is the remainder when l is divided by c?
2
Let k = -209624 - -209659. Suppose 4*l + l = 15. Calculate the remainder when k is divided by l.
2
Let u be -4 - (-1081 + -9)*4/(-8). Let w = 563 + u. Calculate the remainder when 54 is divided by w.
12
Let n = -254123 - -254190. Let u = -398 - -1067. What is the remainder when u is divided by n?
66
Suppose -13*z + 14*z + 5*w = 55, 0 = 3*z + 2*w - 191. Calculate the remainder when 317 is divided by z.
57
Suppose 0 = 3*r - 12, -4*o + 3*r - 417 = -7*o. Let j = o - 80. Suppose 4*a = 2*t + t - 33, 3*a - 5 = -2*t. What is the remainder when j is divided by t?
6
Calculate the remainder when (201/4)/(12/32) is divided by (-372)/31 - 174/(-6).
15
Let d = -5027 + 6198. Calculate the remainder when d is divided by 236.
227
Let h(r) = -7*r**2 - 2*r + 7. Let g(l) = -l**2 + l. Let n(o) = 6*g(o) - h(o). Calculate the remainder when n(-15) is divided by 34.
30
Let l be 0 - 1 - 32/(-1). Let m = l + -11. Calculate the remainder when 9*(-77)/(-198)*16 is divided by m.
16
Suppose 2*q = -5*g + 155, -5*g - 5*q = 8 - 163. Suppose -14*u = -19*u + 280. What is the remainder when u is divided by g?
25
Let r = 240 - 102. Let n = r + -130. Let p = 65 + -43. Calculate the remainder when p is divided by n.
6
Let c be ((-4)/10)/((-8)/360). Let y = -487 - -664. Calculate the remainder when y is divided by (c/(-10))/((-114)/(-30) - 4).
6
Suppose 77*d - 42*d = 2205. Suppose 0 = -2*o + 3*o - 33. What is the remainder when d is divided by o?
30
Suppose -4*u = -4*v + 6*v - 28, 5*v = -4*u + 100. What is the remainder when 1861 is divided by v?
13
Let n be (-3)/((1/(-8))/(559/78)). Suppose n = 2*t - 206. Calculate the remainder when t is divided by 64.
61
Let j(i) = i**3 - 19*i**2 - 7*i - 23. Let z = 60 - 41. Let u be j(z). Let b = 253 + u. Calculate the remainder when b is divided by 14.
13
Let t(k) = -135*k + 333. What is the remainder when 2581 is divided by t(2)?
61
Let b = 513 - 498. Suppose 3*m - 1 - 9 = x, -x - 18 = -5*m. Suppose -61 = -5*h - m*w + 69, -4*h = -w - 104. What is the remainder when h is divided by b?
11
Suppose 6*u = -6*u - 84. Let o(z) = -23*z - 144. What is the remainder when 93 is divided by o(u)?
8
Suppose 4*j + 34 - 34 = 0. Suppose -m + 5*r - 13 = j, 14 = -m - 4*r + 37. Let u = -9 - -28. What is the remainder when u is divided by m?
5
Suppose 0 = -o - 3*v + 33, 154*o - 3*v - 27 = 153*o. Calculate the remainder when 941 is divided by o.
11
What is the remainder when ((-16)/(12/3)*(-13670)/(-40))/(-1) is divided by 57?
56
Let r(o) = -o + 7. Let y = -1004 + 1424. Suppose -28*g + 364 = -y. Calculate the remainder when g is divided by r(-8).
13
Let w(s) = 2*s**2 + 2*s - 4. Calculate the remainder when ((-7)/((-140)/328))/(4/40) is divided by w(-6).
52
Suppose x - 6*x + 510 = 5*g, 3*g - 3 = 0. Suppose -24*s = -897 + 585. What is the remainder when x is divided by s?
10
Suppose 3*f - 7*f + 32 = 0. Let d(z) = -z**2 + 13*z - 21. What is the remainder when 72 is divided by d(f)?
15
Let w(l) be the third derivative of 4*l**5/15 - l**4/4 + 5*l**3/6 + l**2 - 53*l. Calculate the remainder when 267 is divided by w(1).
12
Suppose -820 - 1060 = -8*u. Calculate the remainder when 337 is divided by u.
102
Suppose -3*k = -4*k. Suppose 2*n = -4*r + 528, k*n - 3*n = 4*r - 530. Suppose 10*h - 748 = -7*