 3*y. Suppose -12 = -2*v + 3*v. Let a = -6 - v. Calculate the remainder when a is divided by i.
2
Let n(y) = y**3 - 3*y**2 - 10*y + 2. Let x be n(5). Suppose 4*w + 0*w - x*m - 352 = 0, 0 = 4*w - 5*m - 358. Calculate the remainder when w is divided by 10.
7
Let x(m) = 3*m**3 + 5*m**2 + 12*m - 45. Let u be x(5). Let l = u + -74. What is the remainder when l is divided by 6?
3
What is the remainder when (-3)/9 + (-1650)/(-9) is divided by 28 - ((-11)/((-66)/24) - -1)?
22
Suppose -17*l + 15 + 19 = 0. Calculate the remainder when 13 is divided by 3/(((-10)/(-15))/(l - 0)).
4
Let y = 167 + -113. Suppose -2*c - 3*o + y = -10, -4*o - 113 = -3*c. Calculate the remainder when 78 is divided by c.
8
Let q(r) = -14*r**2 + 4*r - 95. Let c(x) = -5*x**2 + 2*x - 32. Let t(v) = 17*c(v) - 6*q(v). What is the remainder when 30 is divided by t(10)?
4
Suppose -5*c = -6*i + 2*i - 1513, 8 = -4*i. Calculate the remainder when c is divided by 66.
37
Let i(t) = -3*t + 18. Let z be i(5). Suppose 4*g = z*k + k - 76, 3*k + g - 65 = 0. What is the remainder when 332 is divided by k?
17
Suppose 2*c - 77 = -r, -4*r - 2*c = -248 - 54. Let a = r - 27. Let w = a - 31. Calculate the remainder when w is divided by 6.
5
Suppose -w = -2*w. Suppose j - 4*d = 13, -4*j + 12*d - 53 = 17*d. What is the remainder when j/(56/(-116))*(w + 6) is divided by 45?
42
Let k be (-4)/((-24)/(-2)) + (-2095)/(-3). Let z be 28/21 + k/3. Suppose -238*u = -z*u - 316. Calculate the remainder when u is divided by 20.
19
Suppose -103 = -10*v + 77. Suppose 0 = -2*m - k + 200, -5*m + 3*m + 188 = 4*k. Suppose m + 108 = 3*s. What is the remainder when s is divided by v?
16
Let t = -15 - 20. Let b = t + 37. Suppose 0 = 4*y - p - 40, b = 2*y + 4*p - 18. What is the remainder when 25 is divided by y?
5
Suppose 0 = 3*a - 5*a + 8. Suppose 5*c + 4*p - 15 - 16 = 0, -c - p = -7. What is the remainder when 1*c*12/36 - -14 is divided by a?
3
Suppose -3*k = 2*k - 45. What is the remainder when 93 is divided by k*(-1 + (5 - 4) + 3)?
12
Suppose 0 = -4*w + 20, -7*w = i - 2*w - 47. What is the remainder when 134 is divided by i?
2
Suppose -168*g = -4741 - 2331 - 16952. Calculate the remainder when 872 is divided by g.
14
Calculate the remainder when 1519 is divided by (-1232)/(-66) - 32/12.
15
Let s be ((2 - 6) + 3)/(-1). Suppose -g + 0 = -n - s, 38 = 3*g + 4*n. Calculate the remainder when 27 is divided by g.
3
Let h(d) = 9*d**2 - d - 1. Let p = 3 + -2. What is the remainder when h(p) is divided by 4?
3
Let g = 152 + -160. Let r(m) = m**3 + 7*m**2 - 14*m - 21. Calculate the remainder when r(g) is divided by 3.
0
Suppose -2*h + 212 = m, -2*h - 48 = -4*m + 760. What is the remainder when m is divided by 41?
40
Let t(s) = -1360*s**3 - 5*s**2 - 16*s - 4. What is the remainder when t(-2) is divided by 18?
16
Suppose 3*c + 1781 = 16*c. Suppose 136*u = c*u - 68. Calculate the remainder when u is divided by 26.
16
Suppose 2*y + 5 = 2*g - 5, 0 = g - 5. Let x(p) = 0*p + p**2 + y - 7 + 3*p - p. What is the remainder when 38 is divided by x(-5)?
6
Let l(d) = 87*d + 3709. What is the remainder when l(-35) is divided by 9?
7
Suppose k + 58 - 76 = -2*f, -3*k + 68 = 4*f. What is the remainder when 4*24 - (1 + 0) is divided by k?
31
Suppose 0 = -4*o + s + 169, -144 = -6*o + 2*o - 4*s. Suppose 3*r = -5*m - 155, 3*r + 6 = -9. Let b = o + m. Calculate the remainder when 23 is divided by b.
10
Let b(a) = a**2 + 140*a + 1798. What is the remainder when 145 is divided by b(-14)?
9
Suppose -g - 3*g - m + 54 = 0, 0 = 5*m - 10. Suppose 4*o + k = 2 + g, 0 = 2*o - 4*k - 12. Calculate the remainder when o is divided by 1.
0
Let l(a) = 3*a**2 - 209*a + 984. Let z = 8 + 17. What is the remainder when z is divided by l(5)?
11
Let a = -515 - -641. Let k = a - 98. Calculate the remainder when 70 is divided by k.
14
Let t(d) = d**3 + 9*d**2 + 9*d - 9. Suppose 72 + 40 = 4*j. Let c = j - 35. What is the remainder when 102 is divided by t(c)?
24
Let r(h) = -h**3 + 118*h**2 - 1801*h + 189. Calculate the remainder when r(100) is divided by (-4)/(-6)*(25 - -2).
17
Suppose 0 = 8*c - 192. Calculate the remainder when c is divided by 13.
11
Suppose 5 - 25 = 4*b - 5*z, -2*b - z = 10. Let w = 32 - b. Suppose -y = -4*y + 57. Calculate the remainder when w is divided by y.
18
Let i(y) = -6*y**2 - 7*y + 4. Let c be i(5). Let f = c - -369. What is the remainder when f is divided by 24?
20
Suppose 854 = 5*l + 9*l. What is the remainder when l is divided by ((-462)/56)/(6/(-16))?
17
Let t be (-2 - 1) + (-15)/(-5). Suppose t*s + 4*s = d + 11, d - 21 = -4*s. What is the remainder when 4/6 - 520/(-39) is divided by d?
4
Suppose -o = -5*t + 10*t - 12, -21 = -3*t + 4*o. Suppose -2*s + t*p + 426 = 0, s + 5*p - p = 191. Calculate the remainder when s is divided by 11.
9
Let z = 114 + -111. Suppose -z*m - 149 + 464 = 0. What is the remainder when m is divided by 5?
0
Let p(d) = d**2 - 8*d - 3. Suppose 3*f - 2*s = 39, -82 = -5*f + 4*s - 15. What is the remainder when p(f) is divided by 53/5 - (-4)/10?
8
Let g be -7 + 4 + 1*(6 + -3). Suppose 39*i - 49*i + 380 = g. Calculate the remainder when 75 is divided by i.
37
Let c = 47633 + -28952. Calculate the remainder when c is divided by 36.
33
Let n be ((-21)/14)/(1/(-318)*3). Suppose 4*d - n - 96 = -5*x, -3*d - 3*x + 189 = 0. Calculate the remainder when 177 is divided by d.
57
Suppose 4*c + 0*c + 60 = m, 5*c = -2*m + 185. What is the remainder when m is divided by 29 + (-20)/5 + 3?
24
Let b(x) = x**3 + 5*x**2 - 16*x + 1. Let s(u) = u**2 - 11*u - 19. Let k be s(12). Suppose r = 28 + 44. What is the remainder when r is divided by b(k)?
12
Calculate the remainder when (42416/308)/(4/28) is divided by 8.
4
Suppose 3*k + 5 = 2*u, -3*u - 2*k - 2 = -4*u. Let g(b) = 2*b**2 - 2*b + 4. What is the remainder when g(4) is divided by ((-60)/16)/(-15) - (-31)/u?
4
Let k(f) = 2*f - 10. Let l(q) = -59*q**2 + 3*q - 18. Let b be l(3). Let w = -528 - b. Calculate the remainder when w is divided by k(9).
4
Suppose -80 - 156 - 36 = -34*b. What is the remainder when 96 is divided by b?
0
Let f be (-1)/(-1)*-1 + 275 + 4. Let b = f + -239. What is the remainder when 349 is divided by b?
37
Let i = -33 - -23. Let x(g) = g**3 + 9*g**2 - 10*g + 3. Suppose 3*j - 4 = 2*w + 28, 0 = 4*j - 3*w - 41. Calculate the remainder when j is divided by x(i).
2
Suppose 17*i - 395 = 166. Calculate the remainder when i is divided by 2/(-9) + (-310)/(-18).
16
Suppose 37*w = 2*d + 36*w - 48, -w - 23 = -d. What is the remainder when 444 is divided by d?
19
Suppose 120 = -6*v + 126. What is the remainder when 162/v - (-2)/(-1) is divided by 34?
24
Let c = 1057 - -15740. What is the remainder when c is divided by 227?
226
Let k(g) = 7*g**2 + 0*g**2 + 4 + 4*g**3 - 3*g**3 - g**2. Calculate the remainder when k(-4) is divided by 19.
17
Suppose -4*d - 2*f + 1008 = 0, 4*f = -4*d + 3*d + 252. Let b(l) = -2*l**2 + 24*l - 21. What is the remainder when d is divided by b(4)?
37
Let w = 120 + -364. Let y = w + 247. Calculate the remainder when 10 is divided by y.
1
Let y = -18 - -40. Let x(q) = q**2 + 5*q + 2. Let u be x(-4). Calculate the remainder when y is divided by 3 + (-4)/u + 3.
6
Suppose -4*b + 480 = -10*b. What is the remainder when ((-51)/5)/(-5 - 392/b) is divided by 8?
6
Suppose -19*v + 27*v + 21593 = 21*v. What is the remainder when v is divided by 128?
125
Suppose 28 = 2*b + 5*x, x = 9*b - 10*b + 11. Suppose -8*m = -b*m + 54. Calculate the remainder when 537 is divided by m.
51
Suppose 15*y + 10*y = 8*y. Let t be (-2 + 3)*(-1 - -4). Suppose y = -k - t*o + 121, 0*o - 3*o + 466 = 4*k. What is the remainder when k is divided by 17?
13
Let g(i) = -i**3 - 6*i**2 + 12*i + 139. Calculate the remainder when 1634 is divided by g(-9).
264
Let m(f) be the second derivative of -f**3/6 + 19*f**2/2 - 153*f. What is the remainder when 95 is divided by m(15)?
3
Let v = -67560 + 160638. Calculate the remainder when v is divided by 19.
16
Suppose 0*s = 12*s - 1764. Let c = -60 + s. Calculate the remainder when c is divided by 15.
12
Let t(n) = -23*n + 11. Let u be t(1). Calculate the remainder when 58 is divided by (8/u)/(4/(-30)).
3
Let n = 35 + -31. Suppose -27 = -s + 5*l, -n*s + 8*s + l = 87. Let b = 38 - s. What is the remainder when 47 is divided by b?
15
Let f(m) = m**2 + 8*m - 2969. Cal