hen p is divided by 55?
49
Let i = -517 + 520. Suppose 2*v + 29 = 3*b, -3*b + i*v + 10 + 20 = 0. What is the remainder when 31 is divided by b?
4
Suppose 0 = 4*q - 3*a - 275, 0 = 137*q - 132*q + 4*a - 398. Calculate the remainder when 351 is divided by q.
55
Let k = -63905 - -63923. Suppose 0*v + 20 = 4*v. Suppose a - 256 = -4*l - a, v*a = 5*l - 350. What is the remainder when l is divided by k?
12
Suppose -5*i + 62 = -n, 0 = 2*n + 3*n - 2*i + 333. Let y = n + 84. What is the remainder when 166 is divided by y?
13
Let r = 210 - 540. What is the remainder when (1 + 83/(-5))/(132/r) is divided by 28?
11
Let h = 10941 - 9383. Calculate the remainder when h is divided by 155.
8
Let r = 108 - 116. Calculate the remainder when 99 is divided by r/(-8 - 0) + 55.
43
Suppose 7*o - 4*u = 2*o + 38, o - 4*u - 14 = 0. Let b(z) = -43 + 13 - 13 - 6*z - o*z. What is the remainder when 23 is divided by b(-4)?
3
Let w(u) = u**3 + 20*u**2 + 6. Let f be w(-20). Suppose 11*x - f*x - v = 131, -2*x = -v - 53. What is the remainder when 128 is divided by x?
24
Let s(c) = -278*c**3 - 9*c**2 - 20*c - 4. What is the remainder when s(-2) is divided by 21?
19
Calculate the remainder when (-73 - (0 + -2))*(-12 + 11/1) is divided by 4.
3
Let a(n) = 24*n - 19. Let w be (-122)/(-18) - 8/(-36). Let y be a(w). Let x = y + -103. Calculate the remainder when x is divided by 25.
21
Let u = 8 + -2. Let d be (-27)/(-9) + (-5)/(5/94). Let q = d - -96. What is the remainder when u is divided by q?
1
Suppose -47*i - 10*i = -1233 + 36. What is the remainder when i is divided by 2?
1
Suppose -4*x + 160 = -11*l + 15*l, -15 = -5*l. Calculate the remainder when 436 is divided by x.
29
Suppose m + 3*p + p - 31 = 0, -m + 22 = p. Let q = -63 - -95. Calculate the remainder when q is divided by m.
13
Let c(x) = 10*x**2 - 2*x - 33. Let m be c(-4). Suppose 4*t = -6*g + g + m, 0 = -5*t - g + 153. What is the remainder when 83 is divided by t?
23
Let c(j) = 234*j + 1410. Calculate the remainder when 574 is divided by c(-6).
4
Let p = -137 - -228. Suppose 23*g - 1381 = p. Calculate the remainder when g is divided by 19.
7
Let f be (9 - 8)*13 + -4. Suppose f*c = -3*c + 168. Calculate the remainder when c is divided by 5.
4
Suppose 86 + 93 = c - 117. What is the remainder when 619 is divided by c?
27
Let r(a) = 6*a - 132. Suppose 0 = -12*s + 15*s - 81. What is the remainder when r(s) is divided by 13?
4
Suppose -4*x + 14 = -2. Suppose 5*f + x*t = 108, -3*f + t = -82 + 7. What is the remainder when (1449/(-18) + -8)*44/(-33) is divided by f?
22
Let u(x) = -140*x - 116. Let f = 35 + 10. Calculate the remainder when f is divided by u(-1).
21
Let f(h) = h**3 + 29*h**2 - 28*h + 108. What is the remainder when f(-30) is divided by 17?
14
Let q = 557 + -397. Let u = -2288 + 2327. Calculate the remainder when u is divided by (q/24)/((-2)/(-3)).
9
Suppose -4*y = -7*y + 18. Let i(d) = 11*d - 62. Calculate the remainder when 57 is divided by i(y).
1
Suppose 0 = x + 2*y - 47, 0*x - 127 = -3*x + y. Suppose -1140 = 24*k - x*k. What is the remainder when k is divided by 32?
28
Suppose 5*q = -2*l + 95, -3*q + 99 = -5*l + 73. Calculate the remainder when 12577 is divided by q.
14
Let d(k) = 253 + k**2 - 5*k + 8*k**2 - 249. What is the remainder when d(2) is divided by 33/3 - (2 + -3)?
6
Let x(f) = 22*f - f**2 - f**2 + 3*f**2 + 2*f**2. What is the remainder when 88 is divided by x(-9)?
43
Suppose -60 = -0*h - 4*h. Let x = -443 + 463. Suppose -c - 2*i = -46 - x, -c = -3*i - 86. What is the remainder when c is divided by h?
14
What is the remainder when 764 is divided by ((-2)/4)/(-31 + 47238/1524)?
2
Let a(x) = -x**2 + 5*x - 69. Let b(k) = k**2 - 6*k + 68. Let r = -51 - -45. Let m(g) = r*a(g) - 5*b(g). What is the remainder when m(0) is divided by 15?
14
Let k = 18938 - 18784. Calculate the remainder when 1229 is divided by k.
151
Let g = -234 + 254. Suppose -89 + 29 = 6*k. Let p(d) = d**2 + 12*d + 23. Calculate the remainder when g is divided by p(k).
2
Let m be ((-8)/(-10))/(20/50). Suppose -m*y - y + 42 = 3*l, 0 = -3*y + l + 34. What is the remainder when 41 is divided by y?
5
Calculate the remainder when (-8)/(-36) - (0 - -1 - 205333/171) is divided by 30.
0
Suppose m = -4*c + 1 + 2, 3*m - 37 = 2*c. Let x = 31 - m. Let r = 75 + -39. Calculate the remainder when r is divided by x.
16
Let c = 596 + -173. Suppose -121 = -3*z + 3*s + 302, -3*z + c = s. Calculate the remainder when z is divided by 29.
25
Let a(p) = 8*p - 45. Let k be a(14). Suppose 6*q + k = 175. Calculate the remainder when 48 is divided by q.
12
Let p(o) = -923*o + 3737. Calculate the remainder when 8009 is divided by p(4).
44
Let k = -4232 + 5383. What is the remainder when k is divided by 145?
136
Let f be (-24)/(-10)*(56/(-16) + 6). Suppose -11*p + 60 = -f*p. Let z(w) = 7*w + 5. Calculate the remainder when z(6) is divided by p.
11
Suppose 0 = 2*b - 6*b + 20. Suppose -b*h = -10*h + 90. Suppose 4*d - 5*d = 5*w - h, -4*w = 3*d - 43. What is the remainder when d is divided by 4?
1
Let v(p) be the first derivative of p**3/3 - p**2 - 2*p - 24. Let k be v(2). Let u = 14 - k. Calculate the remainder when 141 is divided by u.
13
Suppose 1714 = 5*x - 2*k, 3*x + 28*k - 31*k = 1014. What is the remainder when x is divided by 122?
102
Suppose g + 25 = 5*h, 2*g - 5*h + 4*h + 5 = 0. Suppose -3*t = -222 - g. What is the remainder when 232 is divided by t?
10
Suppose 151679 + 32026 = -9*y + 46*y. What is the remainder when y is divided by 18?
15
Suppose 0 = -v + 4*r + 8, 2*r - 3*r + 5 = 0. Suppose -w - 3*u + 5 = 0, w + 106 - 79 = -5*u. Calculate the remainder when w is divided by v.
25
Let b(y) = y**2 - 2*y + 55. Let h = 324 + -304. Calculate the remainder when b(0) is divided by h.
15
Suppose 442 = 5*a + 3*r, 3*r + 4 = 1. Let x = 126 - a. Calculate the remainder when 220 is divided by x.
35
Suppose 5*p + f = 2533 - 909, 2*p - 653 = 3*f. What is the remainder when p is divided by 122?
81
Suppose -33*r - 26861 = -193*r - 5101. Calculate the remainder when r is divided by 76.
60
Suppose 4*z = 3*b + 4 - 1, 3*b = 3*z. Let y = z - 25. Let q = y - -129. Calculate the remainder when q is divided by 37.
33
Calculate the remainder when 13593/21 - 16/56 is divided by 202.
41
Let q(o) = o**2 - 25*o - 668. Calculate the remainder when 274 is divided by q(-17).
44
Let n = -172 - -188. Suppose 0*v - 5*l - 12 = -v, 4*v = -4*l. Suppose v*f = 30 + 58. What is the remainder when f is divided by n?
12
Suppose 2914 + 3157 = 13*j. Let u = 499 - j. Calculate the remainder when 113 is divided by u.
17
Let a = 7431 + -5636. What is the remainder when a is divided by 597?
4
Suppose 0 = 51*v - 18*v - 3795. Suppose 0 = -98*x + v*x - 595. Calculate the remainder when 117 is divided by x.
12
Let s = -25 - -31. Suppose -s*r + 21 = -3*r. Let i(a) = -a**2 + 12*a - 29. Calculate the remainder when 8 is divided by i(r).
2
Suppose -5*l = 9 - 69. Let k be (l/(-9))/1*(-33)/1. Suppose 3*t + 0*w = w + 66, 0 = -2*t - w + k. Calculate the remainder when t is divided by 12.
10
Calculate the remainder when 472 is divided by (15 - 479)/(10/(-10)).
8
Suppose k + v = 203, k + 308*v = 313*v + 185. What is the remainder when k is divided by 5?
0
Let r(o) = -23*o - 451. Let g(k) = 14*k**2 - 3*k - 4. Let t = 19 - 21. What is the remainder when g(t) is divided by r(-21)?
26
Let r(d) = 5*d**3 + 143*d**2 + 64*d - 143. What is the remainder when r(-28) is divided by 14?
11
Let h = -105 + 147. What is the remainder when 713 is divided by h?
41
Suppose -96*k + 100*k = 4, -2*k + 162 = 5*o. Calculate the remainder when (-4 + 3 - -54) + 4 is divided by o.
25
Suppose 44*w + 10 = 112 + 822. Let g(j) = -2*j**3 - 8*j**2 + 9*j - 2. Calculate the remainder when g(-7) is divided by w.
19
Suppose -k - 4 + 9 = 0. Suppose -129 = -3*p - 2*c, -2 = k*c + 13. Calculate the remainder when p is divided by 990/40 + (-9)/12.
21
Suppose 2*x = -p + 84, -2*x - 448 = -5*p + 2*x. Let a(s) = -6*s - 26. Let u(w) = -w - 12. Let h be u(-6). Calculate the remainder when p is divided by a(h).
8
Let o(l) = 14*l**2 + 175*l - 12. What is the remainder when 412 is divided by o(-13)?
17
Suppose -2*m = -4*c - 10, 3*c - 2*m + 15 = m. Suppose 3*d - 2*h = 9, -2*d - 4*h - h + 25 = c. What is the remainder when 6 is divided by ((-8)/d)/(8/(-20))?
2
Suppose -4