30
Calculate the remainder when ((-6)/30)/(0 + (-5)/(-25)) - -238 is divided by 20.
17
Let p(h) = 365*h - 55093. What is the remainder when p(151) is divided by (-2)/(-4) + 23/2?
10
Suppose 25 - 19 = 2*m. Let j(v) be the first derivative of 2*v**3/3 - v**2 - 3*v - 1. What is the remainder when j(-2) is divided by m?
0
Let b(t) = 3*t**2 + 1. Let s(f) = 63*f**2 - 5*f + 10. Let y(p) = -6*b(p) + s(p). What is the remainder when y(1) is divided by 24?
20
Let m = 70 + -43. Suppose v - s + 412 = 2*v, 5*s = 2*v - 838. Suppose 10 = 4*x - v. Calculate the remainder when x is divided by m.
25
Suppose -502 = 5*c - 1602. Suppose u + 1183 = 25*u + 67*u. Calculate the remainder when c is divided by u.
12
Suppose -2876 = -106*w + 3060. What is the remainder when 276 is divided by w?
52
Let r(l) = l + 1. Let u(q) = q**2 + 25*q + 54. Let d(z) = 3*r(z) - u(z). What is the remainder when d(-7) is divided by 14?
12
Calculate the remainder when ((-22)/(-8) - (-6)/(-8))*(-3984)/(-96) is divided by 51.
32
Let s(d) = 282 + 3*d + 10*d - 277 - 2*d**2. Calculate the remainder when 195 is divided by s(6).
8
Suppose 5*y + 0*y + 4*u = 44807, 5*y - 44831 = 8*u. What is the remainder when y is divided by 195?
188
Calculate the remainder when 619 is divided by (-1 + 4)/(-24) + (11 - 4908/(-96)).
61
Suppose -18*c - 83 = 25. Suppose -4*s + 68 = -0*s. Calculate the remainder when s is divided by (-8)/((-16)/6)*(-20)/c.
7
Let h(c) be the second derivative of c**4/4 - 49*c**3/6 - 9*c**2 + 6*c. Let o = -908 + 925. Calculate the remainder when 75 is divided by h(o).
11
Let s(d) = 18*d - 1936. Suppose 3*q - 6*q = 0. Suppose q = -7*t + 4*t + 72. What is the remainder when s(110) is divided by t?
20
Let f(y) = -16*y**2 + 2*y. Let t be f(-2). Let v = -48 - t. Let l = 46138 - 46061. Calculate the remainder when l is divided by v.
17
Let y = 13 - 8. Let z(i) = -i**3 - 3*i**2 + 26*i - 5. Let o be z(-7). Suppose -3*b + 132 = o*b. Calculate the remainder when b is divided by y.
1
Let l(z) = 374*z**3 - 1. Let t be l(-1). What is the remainder when 45 is divided by (4/6)/((-10)/t)?
20
Suppose 383*a - 385*a = -20. Suppose 0 = -4*x - 2*k + 152, -k + a = -6*k. What is the remainder when x is divided by 3?
0
Suppose -3*h + 79 = 2*x, x + 26 = -3*h + 106. Suppose 7*v = -h + 209. What is the remainder when 89 is divided by v?
11
Let r(s) = s**3 - 18*s**2 + 44*s - 148. Calculate the remainder when 69 is divided by r(16).
25
What is the remainder when 466 is divided by ((0 - 0) + 28/21)/((-12)/(-153))?
7
Let c(p) = 475*p + 612. What is the remainder when c(1) is divided by 1079?
8
Suppose 1611 = 12*b + 6423. What is the remainder when 258 is divided by (1/(-3))/((-6)/(-5 - b))?
16
Let g be (-3)/2*4/(-3). Let x(k) = 56*k - 176. Let l be x(4). Suppose -2*s + l = g*s. What is the remainder when 81 is divided by s?
9
Suppose 0 = q + 2, 0*k + 4*k + 4*q = 144. Calculate the remainder when 2126 is divided by k.
36
Suppose 66099 = 578*x - 60723 - 100332. What is the remainder when x is divided by 55?
8
What is the remainder when 531 is divided by 43 - (0 + 0 + (3 - (11 - 11)))?
11
What is the remainder when -6*((-84)/(-546) + 6/(-117)*2161) is divided by 5?
4
Suppose -2*i - 3*h = -273 + 59, 4*i - 460 = 2*h. Suppose 45 = 4*t - 7. Calculate the remainder when i is divided by t.
9
Let u = -10265 - -10293. What is the remainder when 10750 is divided by u?
26
Suppose -5*y + 73 + 243 = 2*u, -u - y = -155. Suppose -26*v - 180 = -986. Calculate the remainder when u is divided by v.
29
Let i(x) = x + 4. Suppose -8*m + 26 = -22. What is the remainder when i(m) is divided by 2?
0
Let w = -40 + 64. What is the remainder when (29/5)/(6/(6 + w)) is divided by 16?
13
Let a = -433 - -517. Let o(c) = 7*c**2 + 3*c. Let t = 3 + -5. What is the remainder when a is divided by o(t)?
18
Suppose -3*d + 3 - 63 = 0. Let h(q) = q**3 + 19*q**2 - 20*q + 16. Calculate the remainder when 105 is divided by h(d).
9
Suppose -219 = -4*b + 49*a - 44*a, -b + 45 = 2*a. Suppose -13*t - 67 + 275 = 0. Calculate the remainder when b is divided by t.
3
Calculate the remainder when 2365 is divided by 11 + 4 - (21 - 36).
25
Suppose -i = 17*o - 13*o - 84, -3*o + 40 = -5*i. Calculate the remainder when 3117 is divided by o.
17
Let a(q) = 58*q + 3*q - 44 - 29*q + 10*q. What is the remainder when a(8) is divided by 59?
56
Suppose 5*h - 151 = -101. Let f = -475 - -563. What is the remainder when f is divided by h?
8
Let m be (-42)/(-56)*(-32)/(-6). Suppose m*s + 4*j = 984 - 40, 5*s = 2*j + 1152. Calculate the remainder when s is divided by 47.
44
Let j = 42 - 87. Let b be ((-2)/(-6))/((-3)/j). Suppose -f = b*y - 34, -4*f + 0*f = y - 212. What is the remainder when f is divided by 11?
10
Suppose 0 = 2*h - 4*h + 22. Let z = -12005 + 12035. What is the remainder when z is divided by h?
8
Let n(p) = 122*p**2 + 8*p - 110*p**2 + 45 + p**3 + 2*p**3 - 4*p**3. Let x be n(13). Calculate the remainder when 57 is divided by (-5)/x + (-69)/(-12).
3
Suppose -h - 4*o + 12 = 0, -5*h = -h - 4*o - 48. Suppose d = 45 - h. Suppose -12*n + 2598 = 642. What is the remainder when n is divided by d?
31
Let i(g) = -49 + 50 + 28 + 51 - g. Calculate the remainder when 399 is divided by i(40).
39
Let v(w) = w**2 - 2*w + 7. Let p be v(-14). Let n = -209 + p. What is the remainder when 40 is divided by n?
18
Let f = 58630 - 29417. What is the remainder when f is divided by 44?
41
Suppose 134*g = 35*g + 1572 + 210. Let h = 155 - 67. What is the remainder when h is divided by g?
16
Let p = 971 - 924. What is the remainder when 93 is divided by p?
46
Let m(o) = 7*o - 4. Let v(r) = 5*r**2 - 3*r - 2. Let h be v(-1). What is the remainder when m(3) is divided by (-6*h/(-126))/((-3)/(-105))?
7
Let z = 4 - -50. Suppose 2*o + 21 = k - 0*k, 2*o = -2*k + z. Let t = 15 - -32. Calculate the remainder when t is divided by k.
22
Suppose 1493 = 19*c + 125. Let s(m) be the first derivative of 2*m**3 + m**2/2 - 2*m - 1. What is the remainder when c is divided by s(-2)?
12
Let l(r) = r**3 + 5*r**2 - 26*r - 112. Let t(x) = -2*x**2 + 88*x + 86. Let y be t(45). Let u = -50 + 80. What is the remainder when u is divided by l(y)?
6
Suppose 0 = -2*q, 0 = x + 2*q - 23 + 10. What is the remainder when 269 is divided by x?
9
Let s(t) = -t**3 - 11*t**2 + 12*t + 5. Let u = -4352 + 4378. What is the remainder when u is divided by s(-12)?
1
Suppose 569 = k + 4*x, -4*x + 1126 = -16*k + 18*k. Calculate the remainder when k is divided by 19.
6
Let s(m) = -2*m**3 + 4*m**2 + m - 2. Let q be s(2). Suppose 3*w + 36 = 2*t, q = -t + 4*w + 13. Let v = -238 + 266. What is the remainder when v is divided by t?
7
Suppose -4*g + 13 = -67. Suppose -g = 3*i - 161. Suppose -79 - 4 = -5*c - 3*o, 0 = -5*c - 2*o + 82. What is the remainder when i is divided by c?
15
Suppose -p + 21*c + 1101 = 19*c, 5*c + 4410 = 4*p. Calculate the remainder when p is divided by 81.
52
Suppose 3*u - 594 = 2*q, -404 = -2*u - 3*q + 7*q. Let b = 197 - u. Calculate the remainder when 1 is divided by b.
0
What is the remainder when 3774 is divided by ((-27310)/65)/(-2) - (-23)/(-299)?
204
Suppose -1116 = 149*n - 43*n - 3236. Let u = 11 - -27. What is the remainder when u is divided by n?
18
Suppose 5*z - q + 3*q - 94 = 0, 49 = 2*z - 3*q. Calculate the remainder when (-34)/68*116/(-1) is divided by z.
18
Let y(r) = -12. Let j(b) = -b - 37. Let o(a) = -3*j(a) + 8*y(a). What is the remainder when 62 is divided by o(2)?
20
Suppose 538*o = 531*o + 301. Suppose 0 = x - 71 - 185. Calculate the remainder when x is divided by o.
41
Let t = -2969 + 3038. Calculate the remainder when 337 is divided by t.
61
Let k = -3792 - -4109. Calculate the remainder when k is divided by 106.
105
Suppose 2*b - 4*i - 2 = 6, -4*b = -i - 9. Suppose -2 = b*z - 290. What is the remainder when z is divided by 37?
33
Let u(k) = -k**3 + 26*k**2 + 61*k + 13. Let v be u(28). Let c = v + -123. What is the remainder when 79 is divided by c?
19
Suppose 3*p = p + 156. Suppose 0 = -m + g + 197, -237 - 372 = -3*m - 3*g. Let z = -184 + m. Calculate the remainder when p is divided by z.
14
Suppose -5*j + 172 = 4*f, 3*j - 118 = 4*f + f. Calculate the remainder when j is divided by 18 + (5 - 90/20)*6/3.
17
Suppose -10*l = -11*l. Suppose l = -2*p + 10 + 18. Suppose -d + 82 = -3*k, -3*d + 149 = 3*k - 37. C