020, 0 = -140*v + 145*v - 20. What is the remainder when k is divided by 184?
16
Suppose -18*n = -16*n + 27*n - 87. What is the remainder when 382 is divided by n?
1
Let b(g) = -5*g**2 + 59*g + 58. What is the remainder when 493 is divided by b(8)?
73
Let c be (-1)/(-2) - 2985/(-30). Suppose -3*q - c = -8*q. What is the remainder when (5 - 27/(-5))*(-15)/(-2) is divided by q?
18
Let u = 45 + -40. Let c = u + -25. What is the remainder when (15/12)/((-1)/c) is divided by 13?
12
Calculate the remainder when 355 is divided by (-2*1)/10 + 348840/3825.
82
Suppose -o = -4*r + 15, -2*o - 2*o + 2*r + 10 = 0. Suppose 3*l + o*a - 1920 = 0, -a = 5*l + 2*a - 3216. Calculate the remainder when l is divided by 54.
51
Suppose 2*d - 3*l = 2921, -d + 3*l + 1478 = 5*l. Calculate the remainder when d is divided by 10.
8
Let i = 391 - 379. Calculate the remainder when -71*(0 + (-3)/3) is divided by 310/i - 65/78.
21
Let f = 28 + -15. Let y = 100 - -84. Let z = 261 - y. Calculate the remainder when z is divided by f.
12
Suppose 2*h - 130 + 88 - 152 = 0. Suppose -156 = -4*d + d. Calculate the remainder when h is divided by d.
45
Suppose 3*c + 1251 = -4*n, -c + 2*c = -3*n - 937. Calculate the remainder when 277 is divided by (-2)/(-7) - n/28*5.
53
Let m(b) = 4*b**3 - b**2 + 5*b - 12. Let k(y) = -10*y**3 + y**2 - 10*y + 24. Let f(v) = 3*k(v) + 7*m(v). What is the remainder when 221 is divided by f(-4)?
29
Let q(z) = -z**2 + 222*z - 2091. Calculate the remainder when q(10) is divided by (0 + 8)/(-2)*-1.
1
Let q(l) = -l**3 + 31*l**2 - 53*l + 13. Let h be q(29). Let x = h - 113. Calculate the remainder when 132 is divided by x.
42
Let a(c) = -c**2 - 9*c - 322. Let w be a(0). Let k = -75 - w. Calculate the remainder when k is divided by 89.
69
Let f(i) = -10*i + 33. Let v(w) = -5*w + 16. Let d(x) = 3*f(x) - 7*v(x). Let m be d(5). Calculate the remainder when 73/3 - (-8)/m is divided by 10.
5
Let c = 5571 - 5514. What is the remainder when c is divided by 21?
15
Calculate the remainder when -1 - 4457/(-11) - (-1350)/(-7425) is divided by 85.
64
Let z = -4510 + 4555. Calculate the remainder when 243 is divided by z.
18
Let c = 8900 + -8857. Calculate the remainder when 741 is divided by c.
10
Suppose 0 = -x - 2*b + 64, -5*x + 25*b = 21*b - 250. What is the remainder when 1294 is divided by x?
52
Let c(r) = -6*r - 6. Let s be c(-4). Let a = s - 12. Let f(t) = -12*t**3 - 181*t**2 + 1138*t + 17304. Calculate the remainder when f(-15) is divided by a.
3
Suppose 0 = 4*p + 151 - 3159. Suppose 158 = 13*s - p. Let o(a) = -a**3 + 7*a**2 - 7*a + 6. Calculate the remainder when s is divided by o(4).
18
Suppose 4*f - 112 - 128 = -r, 0 = -5*f + 4*r + 321. What is the remainder when 95 is divided by f?
34
Let x be 1/((-24)/7 + 3)*-3. Let m(b) = 3*b**2 + b. What is the remainder when 71 + (8 - x) + -4 is divided by m(-2)?
8
Suppose -4 = -v + 1, 217 = -2*s + 3*v. Let n = -82 - s. Calculate the remainder when 37 is divided by n.
18
Suppose 5*x = 0, 5*p - 13*x = -12*x + 100. Let g = 43 - 34. What is the remainder when p is divided by g?
2
Let t = 504 + -818. Let a = t + 355. What is the remainder when a is divided by 2/5 + 206/10?
20
Suppose 2*p = 5*f - 6, 3*p + 40*f = 37*f + 75. Calculate the remainder when 16591 is divided by p.
16
Suppose -4*b - 162 = -7*b. Suppose 17*i = -3 + b. Let p = -14 + 23. What is the remainder when p is divided by i?
0
Let r = -1811 - -2585. Calculate the remainder when r is divided by 39.
33
Let b = 29 - 38. Let u(m) = -13*m - 85. Suppose -4*r + c + 2*c = -39, 3*r - 24 = -3*c. What is the remainder when u(b) is divided by r?
5
Let j = -4215 + 4230. What is the remainder when 284 is divided by j?
14
Let w(b) = b**2 + 2*b - 39. Calculate the remainder when 33 is divided by w(-8).
6
Let t = 20890 - 20608. What is the remainder when t is divided by 95?
92
Let j(i) = -5*i + 9. Let c(h) = 1039*h + 10609. Calculate the remainder when c(-10) is divided by j(-7).
43
Suppose 128 - 278 = -3*v + v. Calculate the remainder when 246 is divided by v.
21
Let t(k) = -k**3 + 28*k**2 + k + 3. Let c be t(28). Let u = c + -6. Calculate the remainder when u is divided by 4.
1
Suppose 117*s - 20 = 121*s, 25 = j - s. What is the remainder when 3236 is divided by j?
16
Let n(y) = 513*y**2 - 365*y + 365. What is the remainder when n(1) is divided by 141?
90
Let v = -42 - -99. Suppose 3*u - 38 = 5*o, 0 = -4*u + o - 22 + 50. What is the remainder when v is divided by u?
3
Let f be -1 + 2 + -5 + 8. Suppose 4*r + f*y - 13 = 7, -5*y = 3*r - 15. Calculate the remainder when 52 is divided by r.
2
Let n(a) = -a**3 + 56*a**2 - 156*a + 96. What is the remainder when n(53) is divided by 108?
39
Let m = -20074 - -20078. Let k = -1 + 6. Suppose k*u = -4*n + 194, -2*u + 3*n + 54 = -u. What is the remainder when u is divided by m?
2
Calculate the remainder when 32 is divided by (-63)/(-3) - (-58 + 51).
4
Let u = -3519 - -3606. What is the remainder when 421 is divided by u?
73
Suppose -3*w - 5*w + 288 = 0. Suppose 84*l + w = 86*l. Calculate the remainder when 48 is divided by l.
12
Let u be (17 - -32) + -2 + 0. Suppose -5*s + u = 2*o, -5*o + 37*s + 109 = 41*s. What is the remainder when 103 is divided by o?
19
Calculate the remainder when 2714 is divided by (-2)/10 - (-11109)/345.
26
What is the remainder when (-45 + 73 - 21) + 36*2 is divided by (3/(-6))/((-2)/128)?
15
Let c be 2/1*(-10)/4. Let q(v) be the first derivative of -v**4/4 - 4*v**3/3 + v**2 - 12*v + 7. What is the remainder when 14 is divided by q(c)?
2
Let i(h) = -h**3 + 25*h**2 + 27*h - 28. Let j be i(26). Let y(w) = -74*w**3 - 4*w**2 + w + 9. What is the remainder when y(j) is divided by 45?
43
Let g(y) = -y**3 - 2*y - 8. Let i be 6/7*(-14)/(-4). Suppose 5*a - 2*b = -26, b = i*a + 5*b. What is the remainder when g(a) is divided by 34?
30
Let a(f) = 14*f**2 + 15 + 3*f**2 + 24*f**2 - 2*f. What is the remainder when a(-3) is divided by 28?
26
Let d(p) = 59*p**2 + 11*p + 2. Let o be (2/(-4))/((-19)/(-38)). What is the remainder when 246 is divided by d(o)?
46
Let h(k) = -2*k**2 + k + 32. Suppose 9*x + 5*x = 4*x. What is the remainder when 79 is divided by h(x)?
15
Suppose -7*q = q - 1320. Let t = -126 + q. Calculate the remainder when t is divided by 11.
6
Suppose -2*g - 705 = -j, 0*j - g - 1404 = -2*j. Let p = 987 - j. What is the remainder when p is divided by 32?
30
Let n(b) = -3*b - 20. Let v be n(-8). Suppose 4*c = -4*g - 248, c - g - v*g = -86. Let l = -51 - c. What is the remainder when l is divided by 8?
7
Let y(j) = 3*j**2 + 33*j - 16. Let x be y(-14). Suppose -5*s + 65 = -x. What is the remainder when s is divided by 5?
0
Let v(l) = 2*l**3 - 39*l - 31. Calculate the remainder when 1030 is divided by v(5).
22
Let a = -3 + 5. Suppose x - 4*r - 8 = 0, -4*x + 164 - 60 = a*r. Calculate the remainder when x is divided by 5.
4
Let p = 4108 + -3990. What is the remainder when p is divided by 117?
1
Let x(q) be the third derivative of -q**5/60 - 2*q**4/3 - 4*q**3/3 + 2*q**2. Calculate the remainder when (-4)/30*-1 - (-1796)/(-120)*-4 is divided by x(-13).
29
Suppose -11*z = -33*z + 110. Calculate the remainder when 142 is divided by ((-6)/z)/(12/(-360)).
34
Let g = 54 + -168. Let z be (g/(-24))/((-3)/12). Let q = 37 + z. What is the remainder when 52 is divided by q?
16
Let q(g) = 2*g - 12. Let f be q(6). Let k be 3/(-2*3/(-8) - f). Suppose 36 = -4*i - s + 168, 2*i - 48 = k*s. Calculate the remainder when i is divided by 4.
0
Suppose 0 = 5*b - 3*l - 4 - 32, -b = -l - 6. Suppose -b*k + u - 870 = -13*k, 3*k - 658 = 2*u. Calculate the remainder when k is divided by 75.
68
Let j(y) = -y**2 + 8*y + 3 - 8*y - 13*y. Let z = 160 - -16. What is the remainder when z is divided by j(-6)?
41
Let k be 6/(-7)*5/((-25)/210). Suppose -27*p = -21*p - k. What is the remainder when 32 is divided by p?
2
Let i = 10 + -4. Suppose i*g - 20 = g. What is the remainder when g is divided by (8 - 19) + (27 - (-255)/(-17))?
0
Let x = 98 + -48. Suppose -d - 776 = -5*d. Calculate the remainder when d is divided by x.
44
Let y(s) = s**3 - 38*s**2 - 17*s + 627. Calculate the remainder when y(41) is divided by 1655.
8
Suppose 395 = -506*v + 511*v. Suppose 2*c - 64 = 2*k, -24 + 93 = 2*c - 3*k. Calculate the remainder when v is divided by c.
25
Let n be 524/30*-9 - (-4