pose y - 2*y + 238 = -2*r, 0 = -y + 5*r + 229. What is the remainder when y is divided by 41?
39
Suppose 3 - 9 = -2*c. Calculate the remainder when c*(-2 - (-74)/6) is divided by (-15)/(-5)*24/9.
7
Let s be 2/(-6) - (-693)/(-27). Let z = -9 - s. What is the remainder when z is divided by 2*(-21)/(-6) - -2?
8
Let j(t) = -3*t + 169. What is the remainder when j(13) is divided by 11?
9
Suppose -2*h - 5*a - 161 = 0, h = -2*h + a - 233. Let v = h + 166. Calculate the remainder when v is divided by 31.
26
Let q(w) = w**3 + 9*w**2 + 5*w + 3. Suppose -h - 3 + 8 = 0. Suppose 2*p = -h*z - 36, 0 = -3*z - z - 3*p - 26. Calculate the remainder when q(z) is divided by 7.
6
Suppose -16*j + 29*j = 78. Calculate the remainder when 9 is divided by j.
3
Let n(t) = -8*t + 2. Let r(d) = d + 1. Let k(b) = -3*n(b) - 21*r(b). Let o = -29 - -40. What is the remainder when o is divided by k(10)?
2
Let s(r) = r**2 + 58*r - 372. Calculate the remainder when 1019 is divided by s(6).
11
Let i be -17 + 17 - (-60)/(-2)*-9. Suppose -4*u + s = -530, 2*u - 2*s - s - i = 0. What is the remainder when u is divided by 34?
30
Let t(m) = m + 8. Suppose -p + 2*p = -2*q, 5*p - 24 = -4*q. Suppose 41 = b - 3*f + p, 3*b - f = 91. What is the remainder when b is divided by t(0)?
6
Let u = 2808 + -2625. Calculate the remainder when u is divided by 47.
42
Suppose -m + 76 = 5*o, 0 = 2*m + 14*o - 10*o - 170. What is the remainder when m is divided by 14?
7
Suppose 0 = -2*c - 5*f + 154, -2*c + 3*c - 59 = 2*f. What is the remainder when c is divided by -2 - (0 + -19 + 3)?
11
Let p be 2/(8/(-70)) + 1/2. Let l(n) = -n**3 - 16*n**2 + 16*n + 8. What is the remainder when l(p) is divided by 7?
4
Let v(i) = -i**2 + 9*i - 9. Calculate the remainder when (6/(-12))/((-9)/288*1) is divided by v(6).
7
Let d(v) = -v**2 - 8*v - 2. Let o be 81/(-18)*(-4)/(-3). Let h be d(o). Suppose -h = -i + 5. What is the remainder when i is divided by 6?
3
Let c(n) = 6 - 22 + n**2 - 13 + 3*n. What is the remainder when 44 is divided by c(-9)?
19
Suppose -160 - 242 = -6*r. What is the remainder when 133 is divided by r?
66
Let i be (2*2)/(16/(-72)). Let s = i - -36. Let b = -79 + 148. What is the remainder when b is divided by s?
15
Let f be 9/2 - (-7)/(-14). Suppose -204 = -f*b + 2*b. Calculate the remainder when b is divided by ((-104)/(-6))/(6/9).
24
Let b(u) be the third derivative of -u**5/60 + u**4 - 15*u**3/2 + 14*u**2. What is the remainder when b(20) is divided by 13?
9
Let p = 58 + -39. Let i be (-1074)/(-10) - (-2)/(-5). Suppose -7 = -5*l - 3*m + 266, 0 = -2*l + m + i. What is the remainder when l is divided by p?
16
Suppose 4*s + 63 - 863 = 0. Calculate the remainder when s is divided by 64.
8
Let g(x) = x**3 - 10*x**2 + 6*x + 30. What is the remainder when 82 is divided by g(9)?
1
Let h(k) = k**2 + 15*k + 103. Suppose 4*g - 115 = -5*z, 2*z = -2*g + 5*g - 92. What is the remainder when h(-11) is divided by g?
29
Let i(w) = 0*w - 2*w + 3*w - 7 + 19. Let v be i(-12). Suppose 4*j - 5 - 3 = v. Calculate the remainder when 5 is divided by j.
1
Let z = -26 + 45. Suppose 102*a - 5357 - 355 = 0. Calculate the remainder when a is divided by z.
18
Let q = 145 - -170. Suppose 0 = -m - 6*t + t - 60, 0 = 4*m - 5*t + q. Let i = 141 + m. Calculate the remainder when i is divided by 23.
20
Suppose 0 = b - 3*b - 4*c - 64, -4*b - 5*c = 125. Let m = 104 + b. Calculate the remainder when m is divided by 19.
17
Let r(h) = -h**2 + 35*h - 92. Let k be r(31). Suppose s + 3*j - 48 = 0, s - 3*j = k + 22. What is the remainder when 148 is divided by s?
46
Suppose 4*r - 102 + 82 = 0. Suppose -f - 3*f = -r*a + 250, -5*f = 4*a - 159. Calculate the remainder when a is divided by 12.
10
Let x(f) = -f**3 - 10*f**2 + 2*f + 1. Let r be x(-5). Let v = -12 - r. Suppose 2*g - v = 90. What is the remainder when g is divided by 27?
25
Let r(q) = 3*q**3 - 37*q**2 + 16*q - 43. Calculate the remainder when 132 is divided by r(12).
2
Let o be 35/2*(-20)/(-25) + 1. Suppose -a = -3*d + 2*d - 22, 4*a + 44 = -2*d. Let c = o - d. Calculate the remainder when c is divided by 10.
7
Suppose -4*n + 17*n = -26. Calculate the remainder when ((-16)/20 - n)/(4/150) is divided by 17.
11
Suppose -18 = 3*s + 6. Let x(z) = 4*z + 7. Let n be x(7). Let r = s + n. What is the remainder when r is divided by 10?
7
Suppose 2*a - 103 = -5*p, 0 = 3*p - 8*a + 6*a - 65. What is the remainder when 112 is divided by p?
7
Let p(u) = 11*u**3 + 55*u**2 + 10. Let d = 290 + -194. What is the remainder when d is divided by p(-5)?
6
Suppose 35*l - 8 = 34*l. Suppose -109 + 317 = l*a. What is the remainder when a is divided by 10?
6
Let a = -1 + 4. Suppose -8 = -5*u - a. Suppose 27*w - 23*w = 2*f + 8, -5*w = -3*f - 9. What is the remainder when w is divided by u?
0
Let k = -279 + 311. What is the remainder when 35 is divided by k?
3
Let u(i) = i + 11. Let z be u(7). Calculate the remainder when 6/(-4)*(-780)/z is divided by 11.
10
Let k(z) = -29*z - 186. Suppose -62 = 5*w - 342. Calculate the remainder when k(-14) is divided by w.
52
Let l = -1 - 5. Let q = l + 35. Suppose -x - q = -a - 3*x, -x = 3. What is the remainder when a is divided by 18?
17
Suppose -5*f = -5, 3*g - 86 = -0*g + f. Suppose -19 = -2*u + g. Calculate the remainder when (-1 - -187)*53/106 is divided by u.
21
Suppose 29 = 3*n - 2*n. Let l be 2/(-4) - 15/(-6) - -3. Suppose -2*y + l*g + 22 = 0, 2*g = 2*y - 25 + 3. Calculate the remainder when n is divided by y.
7
Calculate the remainder when (-5 - 630/(-54))*(-78)/(-4) is divided by 44.
42
Suppose -20*g + 351 = -7*g. What is the remainder when 34 is divided by g?
7
Let k be 0*(-3)/(-6)*(3 + -4). Suppose 460 = 2*w + 4*t, k = -3*w - t + 4*t + 654. Calculate the remainder when w is divided by 25.
22
Suppose 3*i + 20 = -b, 0 = 6*b - b - 2*i + 66. What is the remainder when 10 is divided by (-14)/b - 2*1/(-1)?
1
Let n = -585 + 642. What is the remainder when 220 is divided by n?
49
Let a = -492 - -566. What is the remainder when a is divided by 21?
11
Let m(g) = g**2 - g + 1. Let j be (1 - (-4 + 3)) + 1. Let s(r) = -r**2 + 16*r - 27. What is the remainder when s(13) is divided by m(j)?
5
Suppose -6*x + 162 = -366. Calculate the remainder when x is divided by 18.
16
Let h = 218 + -168. Suppose 4*m + 4*g = 796, -3*m + g = -0*g - 593. What is the remainder when m is divided by h?
48
Suppose r = -9 + 12. Let d(x) = 18*x - 10. Calculate the remainder when d(r) is divided by 16.
12
Let p(k) = 72*k**2 + 4*k - 5. What is the remainder when p(-2) is divided by 46?
45
Let b(d) = -4*d + 23. Let h be b(-10). Suppose 3*o - 15 - h = c, 5*o - 132 = c. Let k = 1 + 9. What is the remainder when o is divided by k?
7
Suppose -6*r + 72 = -3*r + 2*j, 48 = 2*r + 3*j. What is the remainder when 143 is divided by r?
23
Suppose 84 = -162*t + 166*t. Calculate the remainder when 102 is divided by t.
18
Suppose 2*m + 9 = 5*k - 51, -5*k + 3*m = -55. Let i be (46/(-6))/(2/(-12)). What is the remainder when 3 is divided by i/k + 20/(-70)?
0
Let s(x) = -x**3 + 13*x**2 + 8*x - 6. Let n be s(13). Suppose 323 = 5*l + n. What is the remainder when 54 is divided by -3 - (l/(-3) + -2)?
12
Let u(l) = -l**2 + 64*l - 302. What is the remainder when u(30) is divided by 27?
16
Let g = 1046 - 1001. Calculate the remainder when 583 is divided by g.
43
Let g(v) = 8*v**2 + 25*v + 4. Let u be g(-11). Suppose -5*h + u = 12*h. Calculate the remainder when h is divided by 5/(0 + 2/6).
11
Suppose -3*t - 3*o = -99, 0 = -t - 3*t + 3*o + 118. What is the remainder when 152 is divided by t?
28
What is the remainder when 18/(-16)*124/(-93)*394 is divided by 37?
36
Let j be 3/(-5) + 7/(140/32). What is the remainder when ((0 + j)*3)/((-50)/(-1750)) is divided by 18?
15
Let b(c) be the third derivative of c**4/24 + 4*c**3/3 + 7*c**2. Let w be b(-8). Suppose -7*y + 5*y + 82 = w. Calculate the remainder when y is divided by 14.
13
Suppose 0 = w - 2*w + 2*r + 13, 2 = -w - r. Let p(c) = c**3 + 4*c**2 + c + 7. What is the remainder when p(-3) is divided by w?
1
Suppose -38*v + 358 + 230 = -10*v. Suppose 4*o = -127 + 331. Let r = 112 - o. Calculate the remainder when r is divided by v.
19
Let n = 66 - 64. Suppose -2*u + 21 + 7 = -n*q, -5*u + 63 = 2*q. Calculate the remainder when 43 is divided by u.
4
Suppose -7*d + 75 = -450. Calculate t