6 + 9147. Calculate the remainder when 4074 is divided by c.
45
Let l(k) = k**3 - 17*k + 13. Let x be l(7). Suppose 5*y - x = -57. Suppose -5*v - 49 = -z, z - v - 3*v - 53 = 0. Calculate the remainder when z is divided by y.
33
Let j(r) = -3*r**3 - 2*r**2 - 18*r - 15. What is the remainder when 179 is divided by j(-1)?
3
Suppose 2*c = -4*y + 148, y + c + 3*c = 37. Calculate the remainder when y is divided by ((-224)/192)/(((-250)/60)/25).
2
Suppose 11*s - 30420 = -79*s. Calculate the remainder when 812 is divided by s.
136
Let q(l) = 698*l + 5702. Calculate the remainder when q(-8) is divided by 26.
14
Let s = -375 - -367. Let c(k) = -k**2 - 11*k + 13. Calculate the remainder when 170 is divided by c(s).
22
Suppose 35*f = 5902 + 57973. Calculate the remainder when f is divided by 15.
10
Suppose 4*w - 8*o = -11*o + 6181, 0 = -3*w + o + 4626. What is the remainder when w is divided by 388?
379
Let s(t) = -t**2 - 20*t + 13. Let h be s(-19). Let p be 100*(-2)/(h/(-148)). Suppose -p = -14*x + 489. Calculate the remainder when x is divided by 35.
31
Suppose -213 = -256*r + 252*r + x, 4*r = -x + 211. Calculate the remainder when 5032 is divided by r.
50
Let g = -152 - -162. Suppose g*j = -2*j + 60. Let a = -27 - -49. Calculate the remainder when a is divided by j.
2
Let p = -2129 + 2544. What is the remainder when p is divided by 93?
43
Suppose 0 = -5*h + 6*o + 176, -107*h - 3*o = -103*h - 133. What is the remainder when (-9)/(-2)*316/6 is divided by h?
33
What is the remainder when ((-630)/(-162))/(-5)*-1*9 + 969 is divided by 141?
130
Let k be (-4 - -5)*16 + -3. Suppose -1119 = -k*j + 1117. Calculate the remainder when j is divided by 57.
1
Suppose 4*h = 91 + 21. Suppose -390 = 22*g - h*g. Calculate the remainder when g is divided by 17.
14
Let d = 1028 + -599. Suppose -i + 228 = 5*t, -4*i + 6*i - d = -t. What is the remainder when i is divided by 73?
67
Let f be 288/(-45) - 6/10. Calculate the remainder when 115 is divided by f/(-224)*-4 + (-626)/(-16).
37
Let i = 1573 - 782. What is the remainder when i is divided by 77?
21
Suppose 65 + 17 = l. Suppose 61*t - 59*t = l. What is the remainder when t is divided by 7?
6
Let d be (-7 - (-196)/20)*-5. What is the remainder when 67 is divided by (3 - 1) + d + 14 - -4?
1
Calculate the remainder when (-2)/(-13) + (29082/(-39))/(-2) is divided by -2*(-1 - (-60)/(-8)).
16
Let b = 16085 - 16038. What is the remainder when 13863 is divided by b?
45
Calculate the remainder when (4 + (-33)/6)/((-7)/(-2604)*-1) is divided by 191.
176
Let m(s) = -407*s**2 + 6*s - 5. Let f be m(1). Let g = -393 - f. Let u(q) = -q**2 + 10*q + 1. Calculate the remainder when u(7) is divided by g.
9
Let s(z) be the first derivative of z**4/4 - 7*z**3 + 43*z**2/2 + 7*z + 150. What is the remainder when s(19) is divided by 56?
46
Suppose -21*n = -236 - 583. Suppose 0 = -13*x + x + 1656. Calculate the remainder when x is divided by n.
21
Suppose 0 = 2*m - 5*f - 9, m + 4*f = 253 - 242. Let v = 43 - -221. What is the remainder when v is divided by m?
5
Suppose 0 = -3*u - 3 + 15. Let z be (-1 + 3)*30/u. Calculate the remainder when 30 is divided by (71/4 - 1) + z/(-20).
14
Suppose 14*a - 20*a + 716 = 4*b, -5*b - 5 = 0. Calculate the remainder when 542 is divided by a.
62
Let g(f) = 43*f - 1725. What is the remainder when 622 is divided by g(46)?
116
Let o(k) = 8*k + 15. Let t = 7315 + -7304. Calculate the remainder when o(3) is divided by t.
6
Suppose 0 = -4*r - 18*n + 13*n + 2268, -4*n = -3*r + 1701. Calculate the remainder when r is divided by 52.
47
What is the remainder when (7 - (-2788164)/(-144))/((-3)/4) is divided by 178?
175
Let n = -3470 + 3521. Calculate the remainder when 262 is divided by n.
7
Suppose 2*u + 3*j = 4 - 45, 58 = -4*u + 2*j. Let l = u - -19. Suppose 3*k - 84 = -s - l*s, 2*s - 42 = -k. Calculate the remainder when 39 is divided by s.
18
Suppose -125 = -4*o - 5. Let s = 35 - o. Suppose -3*d - s = 2*r - 14, 3*d - r = 0. What is the remainder when 2 is divided by d?
0
Let p = -183 + 163. Let v(z) = -7*z - 117. What is the remainder when 90 is divided by v(p)?
21
Let l(r) = 2*r**3 - 10*r**2 + 30*r + 3. Let s be l(6). Suppose -77*f = -94*f + s. What is the remainder when 655 is divided by f?
10
Suppose -4*w = -16, 0*o + w - 24 = -o. Suppose -58*b - o = -63*b. Let i(l) = 3*l**2 + 1. What is the remainder when b is divided by i(-1)?
0
Let n be 7/(21/12) + 2*3. Suppose 8*o - n*o = -178. What is the remainder when o is divided by 7?
5
What is the remainder when 727 is divided by 2477 + -2303 - ((-2)/6 + (-2)/3)?
27
Let f(z) = 3*z**2 - 5*z + 2. Let u be f(2). Suppose -3*y + 10 = -l - 146, -3*y + 165 = -u*l. What is the remainder when y is divided by 19?
13
What is the remainder when 2/48*-2404*-6 is divided by 29?
21
Suppose 48*f = 20949 + 4347. What is the remainder when f is divided by 50?
27
Let r = -9 + 18. Suppose y = 4 - 57. Calculate the remainder when y/(-2) - 5/10 is divided by r.
8
Let a = -69 - -97. Let g = 901 - 485. Let t = -334 + g. What is the remainder when t is divided by a?
26
Let w = 119 - 79. Let m = w + -22. Let j(q) = -q + 38. Calculate the remainder when j(m) is divided by 7.
6
Let l(g) = g**2 - 77*g + 69. Calculate the remainder when 775 is divided by l(78).
40
Let l(h) be the third derivative of h**6/120 + 2*h**5/5 + 23*h**4/24 + 3*h**3/2 - 2*h**2 - 122*h. Calculate the remainder when 238 is divided by l(-23).
4
Let n(f) = -19*f. Let s be n(-8). Let t = 284 + s. Suppose -135*b + 139*b = t. Calculate the remainder when b is divided by 10.
9
Suppose 0 = 2*j - j - 4. Suppose -36 = -j*y - 4. Let c = -66 - -88. What is the remainder when c is divided by y?
6
Let c be 21*((-12*11)/(-3))/3. Let s = 337 - c. Suppose -2*t = 5*q - 707, 3*q - 6*q = 4*t - 413. What is the remainder when q is divided by s?
27
Let r = -461 - -806. Let x = r - 319. What is the remainder when x is divided by 2?
0
Let m(r) = -142*r + 1848. What is the remainder when 21 is divided by m(13)?
1
Suppose -7*w + 2256 = 3*w + 2*w. Calculate the remainder when w is divided by 8.
4
Suppose 14*r = 3*r + 1705. Suppose -23*o + r - 17 = 0. Calculate the remainder when 17 is divided by o.
5
Let a = 176 + -176. Suppose a = -8*d + 6*d + 36. What is the remainder when 57 is divided by d?
3
What is the remainder when 471 is divided by (-34 - (-54)/(-9))*48/(-20)?
87
Let h(s) = 48*s - 27. Let a be h(7). Let z = 482 + a. What is the remainder when z is divided by 72?
71
Suppose -5*n + 9 = j, -j + 18 = j + 2*n. Let u(o) = -o**3 + 10*o**2 - 5*o - 18. Calculate the remainder when 41 is divided by u(j).
5
Suppose -39*j + 1093 = -272. Suppose 3*y + u + 0*u = 25, -2*u + 22 = 2*y. What is the remainder when j is divided by y?
0
Suppose -g - 630 = -22*g. Let a(s) = -s**2 - 23*s - 6. Calculate the remainder when a(-7) is divided by g.
16
Let b = -9860 - -9911. Calculate the remainder when 164 is divided by b.
11
Let o = 6891 - 6876. What is the remainder when 6716 is divided by o?
11
Let w = 5 + -1. Calculate the remainder when 5235/60 - (-35)/20 is divided by (2 - w)/(2/(-19)).
13
Let r(z) = 6*z + 88. Let h be r(-7). Suppose 0 = 9*t - h*t + 222. What is the remainder when 19 is divided by t?
1
Suppose -2*d + 5*r + 565 = 0, 841 = 5*d - 2*d - r. What is the remainder when d is divided by 48?
40
Let o be 2 + (117/12)/(30/280). Let q = o + -52. Let t(j) = j**2 - 3. Calculate the remainder when q is divided by t(-5).
19
Suppose -2*t - 716 = -5*t - 4*x, t + 3*x = 242. Let n = t - 215. What is the remainder when n is divided by 10?
1
Suppose -5*k - 3*u + 112 = 12, -u = 5. What is the remainder when k is divided by (-33)/4*(24/9)/(-4 - -3)?
1
Suppose -28*o + 4830 + 21402 = -12940. Calculate the remainder when o is divided by 349.
3
Let l be -6*5/9*(-6)/5. Suppose 0 = -2*y, 5*v - 23 - 47 = -l*y. Calculate the remainder when 54 is divided by v.
12
Let y = -22339 + 37880. Calculate the remainder when y is divided by 116.
113
Calculate the remainder when 1444 is divided by ((-12)/9 + (-178)/(-6))/(6/18).
84
Suppose -p - 2*a = -3, 7*p - 5*p = -5*a + 3. Calculate the remainder when (-25)/(-1) - (13 - 16) is divided by p.
1
Suppose -13*s = -77 + 12. Suppose -10 = -2*y, -s*o + 0 = -5*y + 10. What is the remainder when 7 is divided by o?
1
Let h(d) = 43*d + 278. Let s be h