(-1). Suppose -m + 5 = -5*f + a, a + 38 = 3*f. Suppose t = f - 0. Calculate the remainder when t is divided by 4.
2
Let q(d) = d**2 - 18*d + 19. Let p be q(13). Let u = p + 74. Suppose -2*i - 2*k - 4 + 18 = 0, 12 = -4*k. What is the remainder when u is divided by i?
8
Suppose -3*c + p + 153 + 1212 = 0, 5*p = 0. What is the remainder when c is divided by 92?
87
Suppose -5*w + 0 = -15. Suppose -w*y - 890 = -8*y. Calculate the remainder when y is divided by 36.
34
Let c(l) = -11*l + 2*l**3 - 2 + 10*l + 4 - 3 + l**2. What is the remainder when 64 is divided by c(2)?
13
Suppose -2*y = 5*z - 212, 3*z + 5*y - 9*y - 148 = 0. Calculate the remainder when 140 is divided by z.
8
Suppose 3*m - 43 - 26 = 0. Let a(i) = i**2 - 14*i - 2. Let l(s) = s**2 - 5*s + 1. Let o be l(7). Calculate the remainder when m is divided by a(o).
10
Suppose -5*i - 490 = -0*i. Let u = i + 186. What is the remainder when u is divided by 23?
19
Let x(u) = 30*u**2 - u - 2. Let l be x(2). Suppose 32 = -2*s + l. Calculate the remainder when s is divided by 17 + -2 + 36/(7 - 13).
6
What is the remainder when ((-1020)/(-24) - 9)*12 is divided by 197?
8
Suppose -d = -4*h + 214, 7*h = 4*h - 4*d + 170. Calculate the remainder when 861 is divided by h.
51
Let z = -9 - -26. Let b(s) be the second derivative of s**4/12 + s**3/3 + s**2 - 19*s. What is the remainder when b(-9) is divided by z?
14
Let w(i) = -i - i + 3*i. Let h = -112 + 123. What is the remainder when 20 is divided by w(h)?
9
Suppose 0 = 5*l - 1301 - 2184. Calculate the remainder when l is divided by 14.
11
Let l be 16 - (0 + -3 + 4). Suppose 2*p + 101 = -3*j, 5*p + 4 - l = j. Let v = j + 43. What is the remainder when 35 is divided by v?
11
Calculate the remainder when 14/2 + 131 + -1 is divided by 14.
11
Suppose 2*g - 6*v = -11*v + 48, 0 = 3*g + 3*v - 63. Calculate the remainder when 20 is divided by g.
1
Let t = 29 + -12. Suppose 61*k + 68*k - 10836 = 0. What is the remainder when k is divided by t?
16
Let v be (-270)/(-14) + (-2)/7. Calculate the remainder when -8 + (9 - (9 + -82)) is divided by (0 + 1 - 1) + v.
17
Suppose 6*a = -89 - 223. Calculate the remainder when ((-77)/(-14))/((-2)/a) is divided by 48.
47
Suppose 4 + 12 = 2*y. Calculate the remainder when (966/9)/7*6/4 is divided by y.
7
Suppose 29 = l - 14. Let y = l + -22. Calculate the remainder when (-4)/26 + 19392/312 is divided by y.
20
Suppose -95*t + 75*t + 100 = 0. What is the remainder when 152 is divided by t?
2
Suppose 4*f + 5*t + 18 - 98 = 0, 4*t = -2*f + 40. Let q be (-1545)/f*(-16)/6. Suppose 2*p + 66 - q = 0. Calculate the remainder when p is divided by 24.
22
Let x = 84 + -53. Suppose -z + 4*r + x = 0, -4*z + 7 + 97 = 4*r. Calculate the remainder when z is divided by 10.
7
Calculate the remainder when (-3)/(-1 - -3 - (-651)/(-324)) is divided by 85.
69
Suppose -4*s + 2*h + 146 = 0, h - 2*h + 131 = 4*s. Calculate the remainder when 305 is divided by s.
33
Let t be (-6)/(-4)*(-8 + -6). Let m be 4 - 1 - (1 - t). Let h = 44 + m. Calculate the remainder when h is divided by 13.
12
What is the remainder when 14 is divided by 1430/121 + 1 - (-4)/22?
1
Let q = -207 + 230. Calculate the remainder when 66 is divided by q.
20
Suppose -41*v + 4452 = -20*v. What is the remainder when v is divided by 37?
27
Suppose -3*c + 24 + 6 = 0. Suppose -14*d + 11*d + 39 = 0. Let y = 29 - d. What is the remainder when y is divided by c?
6
Let k(v) = 89*v**3 + 3*v**2 - 2. Let c = -38 - -39. Let s be k(c). Suppose -s = -5*u - 3*p, -6*p = -u - p + 18. What is the remainder when 31 is divided by u?
13
Suppose 10*n - 8 = 8*n, u - n - 109 = 0. What is the remainder when u is divided by 16?
1
Suppose 3*f + 21 = -10*p + 15*p, -4*p - 4*f = -4. Suppose -6*d + 4*d + 4 = 0. Calculate the remainder when p is divided by d.
1
Let m = -151 + 79. Let i = m - -180. What is the remainder when i is divided by 37?
34
Suppose -u = -m + 6*m - 259, 4*m - 1036 = -4*u. What is the remainder when u is divided by 17?
4
Let k(d) = d**3 + 10*d**2 - 27*d + 2. Calculate the remainder when k(-11) is divided by 28.
10
Suppose -5*n + 4*q + 70 = q, 0 = 2*n + 5*q - 59. Suppose -85*b + 64*b + 690 = -591. What is the remainder when b is divided by n?
10
What is the remainder when 120 is divided by (17/(510/(-252)))/((-6)/20)?
8
Let c(f) = 5*f - 3. Let h be c(1). What is the remainder when 55/10*1/(h/24) is divided by 23?
20
Let m = -13 + 24. Suppose -1 = -5*z + 24. Suppose -z*g + 115 = -4*o, 3*g + 0*g - 82 = 5*o. What is the remainder when g is divided by m?
8
Suppose 4*r + 11 = 5*x, -5*x + 5 - 12 = -2*r. Let w = 28 + r. Calculate the remainder when w is divided by 11.
8
Let y = -232 - -347. Calculate the remainder when y is divided by 9.
7
Let x(j) = 3*j**3 + 10*j**2 - 3*j - 5. What is the remainder when 22 is divided by x(-3)?
9
Let t(m) = -m**3 - 5*m**2 - m - 3. Let l be t(-5). Suppose -11 = -l*r + 9. Suppose 2*x - 40 = -4. Calculate the remainder when x is divided by r.
8
Let x(u) = -u**3 - u**2 + 7*u + 2. Let v = 1334 + -1317. What is the remainder when x(-5) is divided by v?
16
Suppose -2*c = 3*x - 273, 7*c - 2*c + 4*x = 672. Suppose -3*k - 51 = -c. Calculate the remainder when k is divided by 16.
11
Suppose -20 = -5*h - 0. Suppose 64 = 4*c + h*r, -3*r + 5*r = -c + 18. What is the remainder when 50 is divided by c?
8
Let j = -708 - -783. Calculate the remainder when 974 is divided by j.
74
Let l(a) = -a + 13. Let o be l(9). Suppose -6*b + 7*b = 48. Suppose 0 = -4*g - 4*d + 8*d + b, -o*d = -12. Calculate the remainder when g is divided by 4.
3
Let x(d) be the third derivative of -d**5/60 + d**4/4 + 5*d**3/3 - d**2. Let h = 646 - 644. What is the remainder when x(7) is divided by h?
1
Suppose -v - 265 = -q - 3*v, 0 = -4*q - 4*v + 1064. What is the remainder when q is divided by 40?
27
Suppose -o - 9 = -4*o + 3*y, 3*o - 21 = -3*y. Suppose 7*p - 5*p - o*l = 269, 3*p = 5*l + 411. What is the remainder when p is divided by 24?
22
Let w(p) = 4*p + 22. Let x be w(-10). Let y = -6 - x. What is the remainder when y is divided by 8?
4
Let z(l) = 5*l**2 - 12*l - 6. What is the remainder when z(8) is divided by 67?
17
Let s(y) = 4*y**2 + 3*y + 1. Let p(g) = 31*g - g**3 - 27*g + 10*g**2 - 3 - 6*g**2. Calculate the remainder when p(3) is divided by s(-2).
7
Let l = 7 + -3. Suppose -2*x = -3*s + 14 - 3, -4*s = -3*x - 14. What is the remainder when l is divided by x?
0
Let c(m) = -m**2 + 16*m - 36. What is the remainder when 537 is divided by c(7)?
24
Suppose 6*o = 248 + 388. What is the remainder when o is divided by 40?
26
Suppose -u + 2*u = 1. Let s be (15/9)/(u/3). Suppose 8*v = -3*c + 3*v + 133, -170 = -s*c + 2*v. What is the remainder when c is divided by 13?
10
Suppose 260 = 3*x + u, 4*u + 31 + 305 = 4*x. Let i = -3066 + 3110. What is the remainder when x is divided by i?
42
Let x(g) = g**3 - 18*g**2 + 25*g - 6. Let m be x(17). Let o = m - -5. Calculate the remainder when o is divided by 46.
43
Suppose -4 = -b - 2*q + 12, 20 = 4*q. Let x be 4/(-14) - b/(-21). Calculate the remainder when (-46)/(x - (-1 - -3)) is divided by 8.
7
Suppose -2*q = 32*q - 6596. What is the remainder when q is divided by 28?
26
Suppose -9*q + 33 = -66. Calculate the remainder when ((-18)/5)/((-2)/10) is divided by q.
7
Let z(w) = -w**3 - 3*w**2 + 2*w + 6. Let l be z(-3). Suppose l*v = v - 27. Suppose v = x - 2. Calculate the remainder when x is divided by 11.
7
Suppose -5*k + 2*o + 719 = 0, 7*k - 3*o - 136 = 6*k. Calculate the remainder when 259 is divided by k.
114
Let r = 16 - -60. Suppose -2*j + 165 = 3*m, -m - 2*j - 17 = -r. What is the remainder when m is divided by 28?
25
Let p(w) = w**3 + 14*w**2 + 13*w - 3. Let v be p(-13). Let l = v - -9. Let m = 6 - -3. What is the remainder when m is divided by l?
3
Suppose -21 = -0*l - 3*l. Let z = -132 - -155. What is the remainder when z is divided by l?
2
Let h be (-1)/(-2) + (-648)/(-16). Let r = -13 + h. Calculate the remainder when (-494)/(-6) - (-4)/(-12) is divided by r.
26
Let j(z) = -z**2 - 2*z. Let f be j(-7). Let d = f + 38. Calculate the remainder when d is divided by 1.
0
Let u(a) = -a - 11. Let g(i) = 4. Let v(b) = -17*g(b) - 6*u(b). Suppose 5*k + 49 = s, s - 54 = 3*k - 13. What is the remainder when s is divided by v(2)?
9
Suppose 191*b = 180*b + 209. What is the remainder wh