74*z. Let p(o) = 4*o**2 + o + 1. Calculate the remainder when p(-3) is divided by t(2).
6
Suppose 15*r - 8*r = 168. Let x(p) = p - 18. Let h be x(r). Calculate the remainder when -5 + -3 + h - -10 - -2 is divided by 8.
2
Let c(t) = -t**2 + 7*t - 6. Let m(n) = -5*n**2 + 31*n + 30. Suppose -2*u + i + 19 = 0, 3*u + 5*i = -1 - 3. What is the remainder when c(4) is divided by m(u)?
0
Suppose 3*p + 424 - 439 = 0. Suppose -3*g + 2 + 11 = -u, p*g = -3*u + 45. What is the remainder when 20 is divided by g?
2
Let l = -415 + 769. Let x = -674 - -734. What is the remainder when l is divided by x?
54
Let a = -238 + -432. Let j = a - -917. Calculate the remainder when j is divided by 83.
81
Suppose 222 = -6*q + 3270. Suppose 0 = 4*s - 4*a - q, 17*s - 493 = 13*s + a. Calculate the remainder when s is divided by 62.
60
Suppose -4*n + 25 = n. Let h = 30 + n. Let d = -25090 - -25297. What is the remainder when d is divided by h?
32
Suppose 3*t + 11 = 2. Calculate the remainder when 2/t*-174 + 6/2 is divided by (48/(-14))/(2/(-14)).
23
Let h(v) = -5*v**2 - 77*v + 63. Let r = 67 + -28. What is the remainder when h(-6) is divided by r?
33
Let o be 45/6*4/6. Suppose 0 = -o*j + 4*l + 70, -2*j = -j - 5*l - 35. What is the remainder when 65 is divided by j?
5
Let l(c) = -c**2 + 14*c + 34. Let q be l(10). Let z(b) = -10*b - 4. Let s be z(5). Let w = s + q. Calculate the remainder when 74 is divided by w.
14
Let t(b) = b**3 + 3*b**2 - 17*b + 6. Let r be t(-6). Let j(p) = -p**3 - 3*p + 136. What is the remainder when j(r) is divided by 47?
42
Let y = 58 + -56. Suppose 2*g = 3*j + 48 - 244, -408 = 4*g + y*j. Let v = -25 - g. Calculate the remainder when v is divided by 16.
12
Let t = 18670 - 9599. What is the remainder when t is divided by 252?
251
Let v(m) = m**3 + 53*m**2 + 396*m + 57. What is the remainder when v(-44) is divided by 23?
11
Suppose 5*a = 3*h + 20, -8*h = 3*a - 3*h - 12. Suppose a*t - 220 = -5*j, 233 = 3*j - 3*t + 74. What is the remainder when j is divided by 14?
6
Suppose 3*i + 2*r = 42, -17*r = -5*i - 16*r + 83. What is the remainder when 2495 is divided by i?
15
Let y = -1 - -5. Suppose 50 = 3*q + 5*t - 9, 0 = 3*t - 12. What is the remainder when (-382)/(-6) + y/(-6) is divided by q?
11
Let o = -899 + 926. What is the remainder when o is divided by 13?
1
Suppose 0 = -47*m + 64815 + 48097 - 535. Calculate the remainder when m is divided by 57.
54
Let d = 47 - 67. Let b = d + 20. What is the remainder when 7 is divided by (-1)/(5/(-15) + b)?
1
Suppose -14*p = 5*p + 19. Let x(c) = c + 36*c**2 - 4*c + 5*c + 1. What is the remainder when x(p) is divided by 10?
5
Calculate the remainder when 229 is divided by (-21)/(1701/18)*(9/3 - 102).
9
Suppose 4*c + 57216 = 4*w, 2*w = 3*w - 5*c - 14320. Suppose 4*p = 5*v - 8815 - w, 5*p = 25. What is the remainder when (-4 - v/(-21)) + (-2)/6 is divided by 55?
51
Suppose 84*r = 5248 + 2144. Calculate the remainder when r is divided by 51.
37
Suppose d + 239 = 5*r, -99 = -2*r + 4*d - 7*d. Suppose -308*z = -310*z + r. What is the remainder when 90 is divided by z?
18
Let b(p) = -p**2 + 59*p - 266. Calculate the remainder when 3221 is divided by b(6).
49
Let u = 11862 + -11806. Calculate the remainder when u is divided by 23.
10
Let a = 32 - -169. Let x = -142 + a. Suppose -2*q - 2*l + 22 = 0, 4*q - 8*l - x = -7*l. What is the remainder when 27 is divided by q?
13
Suppose 0 = 2*k + 22 - 92. Let j(o) be the third derivative of o**5/60 + 11*o**4/24 + 11*o**3/3 + 17*o**2. Calculate the remainder when k is divided by j(-10).
11
Suppose y - 2*u - 2 = 3*y, -3*u = 2*y + 7. Suppose -t = 4*l - 120, 429 = 3*t - y*l + 149. What is the remainder when t is divided by 6?
4
Suppose -12 = 2*r - 5*c + 10, 5*r - 15 = -5*c. What is the remainder when 60 is divided by ((-44)/(-176))/(r/(-28))?
4
Suppose -132*p + 180*p = 36960. Calculate the remainder when p is divided by 73.
40
Let j(w) = 82*w - 573. What is the remainder when j(12) is divided by 125?
36
Suppose -5*x + 6 = -24. Let n(s) = 27*s - 155. Let l be n(6). Suppose 18*v = -l*v + 425. What is the remainder when v is divided by x?
5
Suppose 12*a = 2*a + 600. Let x = a - 39. Suppose 5*r - 290 = -4*z - 0*z, -r = 5*z - 373. Calculate the remainder when z is divided by x.
12
Let g(q) = -4 - 4 - q**2 + 0 + 4 + 16*q. What is the remainder when 60 is divided by g(15)?
5
Let c(f) = f**2 - 228*f - 911. Let n = 0 + 0. Calculate the remainder when 65 - n/(-2)*1 is divided by c(-4).
14
Let r = -82 + 101. Let q = -522 + 635. What is the remainder when q is divided by r?
18
Suppose 5*h = 1518 - 473. Let o = -95 + h. Let v = o - 85. Calculate the remainder when 114 is divided by v.
27
Suppose 173 = -6*p + 11. Let x = p - -43. Suppose -222 = 6*s - 876. What is the remainder when s is divided by x?
13
Let o(a) = a**3 + 2*a**2 + a - 20. Let b(z) = 4*z**3 + 10*z**2 + 3*z - 101. Let f(q) = -2*b(q) + 11*o(q). Calculate the remainder when 138 is divided by f(2).
18
Let d = 98 + -95. Suppose 0 = 4*g - d*k - 93 - 3, 2*k - 35 = -g. Calculate the remainder when 40 is divided by g.
13
Let h(j) be the first derivative of -2*j**2 + 14*j + 25. What is the remainder when 99 is divided by h(-2)?
11
Let g = -113 + 345. Let h = 714 - g. Calculate the remainder when (1 + h/(-6))*(-6)/4 is divided by 11.
9
Let q = -18616 - -18714. What is the remainder when q is divided by 54?
44
Suppose -87*v = -74*v - 611. Suppose 16*d - 15*d - 24 = 0. Calculate the remainder when v is divided by d.
23
Suppose 3*o - 5*o = 36. Let z = 12 - o. Let t = -12109 + 12126. Calculate the remainder when z is divided by t.
13
Let g = -599 + 337. Let b = g + 286. What is the remainder when 69 is divided by b?
21
Suppose 0 = -7717*x + 7724*x - 602. Calculate the remainder when x is divided by 51.
35
Suppose u = 3*y + 690, 16*u - 20*u + y + 2760 = 0. What is the remainder when u is divided by 233?
224
Suppose 0 = 5*k - 5*d - 10 + 25, 3*d = -k + 13. Let w = -20714 + 20747. Calculate the remainder when w is divided by -9*(2/(-1))/k.
15
Let a = -427 + 441. Calculate the remainder when 1245 is divided by a.
13
Suppose 2*z = -3*z - 3*c + 524, -4*c - 400 = -4*z. Suppose -23*l + 1562 = -1129. Let u = l - z. What is the remainder when 125 is divided by u?
13
Calculate the remainder when 293964/408*(-16)/(-22) is divided by 34.
14
Let v = 657 - 381. Calculate the remainder when (v/(-16))/((-6)/80) - 5 is divided by 33.
27
Suppose m + 8 = 28. Let w = -68 + m. Let d = w - -50. What is the remainder when 4 is divided by d?
0
Let l = -311 + -22. Let v = l + 351. What is the remainder when 33 is divided by v?
15
Let h(m) = 482*m + 1102. What is the remainder when 415 is divided by h(-2)?
1
What is the remainder when 922 is divided by (572/(-110) + 5)/((-1)/1205)?
199
Let j(f) = -8*f - 36 - f + 17 - 11. Calculate the remainder when j(-8) is divided by 5.
2
Let p(i) = 5*i**2 - 25*i - 13. What is the remainder when p(6) is divided by 13?
4
Let c = 1304 - 1196. Suppose k + 4*i - 8 = 0, -k - 3*k + 20 = 4*i. What is the remainder when c is divided by (1 - 38)*(3 - k)?
34
Let o be 1/2*-1*0. Let s be (162/12)/((-2)/(-4)). Suppose s = u + 4*w, o*u = 2*u + 2*w - 42. What is the remainder when 36 is divided by u?
17
Suppose -4*x + 42643 = 349*d - 344*d, -5*x - 17044 = -2*d. What is the remainder when d is divided by 164?
163
Suppose -3*u + 217 + 23 = 2*g, 3*u = 2*g + 264. Calculate the remainder when 163 is divided by u.
79
Calculate the remainder when 4645 is divided by (1/(6/4))/((-20)/(-3030)).
100
Suppose 5*s + 2*p + 458 = 0, -p + 39 = 4*s + 403. Let b = s + 274. Calculate the remainder when b is divided by 27.
22
Let n = -18714 + 18726. Calculate the remainder when 560 is divided by n.
8
Suppose -7500 = -32*y - 50*y - 18*y. Calculate the remainder when 822 is divided by y.
72
Let y = 185 - 175. Let x(n) = 10*n + 6. What is the remainder when x(11) is divided by y/(-25) - 306/(-15)?
16
Suppose 130*i + 34443 = 247*i + 150*i. What is the remainder when 380 is divided by i?
122
Suppose 2*w + 22 = 2*x, 0 = 5*x - w - 27 - 20. Suppose 2*n = 119 - x. Let i = n + -34. What is the remainder when 81 is divided by i?
18
Suppose 6*v - 92*p + 87*p - 177 = 0, -15 = 5*p. Let g(f) = -f. Let r(a) = -2*a + 9. Let u(x) = 6*g(x) - r(x). What is the remainder when v is divided by u(-4)?