*o + 24*o - 1000. Suppose 2*p = -2*r + 25 - 1, 0 = -5*p - 4*r + 56. What is the remainder when o is divided by p?
4
Suppose 0 = 3*x - 15, -w + 0*x - 3*x + 312 = 0. Suppose 427 = 13*i + w. What is the remainder when 97 is divided by i?
7
Suppose -u + 14 = 3*m, -5*m + 0*m = -u - 18. Suppose u*z - 4*z = 224. Calculate the remainder when 32 is divided by 6/18*1 + z/(-6).
13
Suppose 124*n - 107905 - 311587 = 0. What is the remainder when n is divided by 141?
140
Let k = -41 + 43. Suppose 3*x - g - 5 = -x, -4 = -5*x + k*g. Suppose 5*v = d + d + 67, -x*d = 2. Calculate the remainder when 22 is divided by v.
9
Let c(o) = 3*o**2 + 510*o - 969. What is the remainder when 419 is divided by c(-172)?
41
What is the remainder when 1188 is divided by ((-2)/(-4)*(70 + -69))/(1/70)?
33
Let m be 38/(-152) - (-1 - (-394)/(-8)). Let z = m + -8. Calculate the remainder when z is divided by 11.
9
Suppose 9*p - 1480 = 2*p - 1403. What is the remainder when 186 is divided by p?
10
Let g be (-4)/(-16) - (-1049)/(-4). Let w = g - -297. Calculate the remainder when w is divided by (1 - 13)*1/(-1).
11
Let f(o) = o + 15. Let s be (-8)/(-24) - 2528/6. Let u = s - -459. What is the remainder when u is divided by f(0)?
8
Let s = 2393 - 2382. Let j be (3/(-5))/(2/(-20)). Let p(w) = w**3 - 5*w**2 - 3*w. What is the remainder when p(j) is divided by s?
7
What is the remainder when 480 is divided by (6/12)/(2/92)?
20
Suppose -72*p + 74*p = -3*f + 32, 5*p - 164 = 3*f. Suppose -3*w = -2*d - 299, -143 = -5*w + 4*d + 356. Calculate the remainder when w is divided by p.
15
Let r(p) = p**3 - 9*p**2 - 5*p - 555. What is the remainder when r(19) is divided by 19?
15
Let a = -48 + 46. Let y be a - 165/(-5) - 4. Calculate the remainder when 6/y + (-258)/(-54) is divided by 1.
0
Let k = -411 - -411. Let x(d) = -d + 17. What is the remainder when x(0) is divided by -4 + k + (12 - 1)?
3
Let h(i) = -i + 59. Let t(l) = -l**3 - 5*l**2 + 5*l - 18. Let f be t(-6). What is the remainder when h(0) is divided by (((-810)/f)/9)/((-6)/(-16))?
19
Suppose 0 = -d - 2*d + 6. Suppose 14*w + 4*a = 13*w + 65, w + 2*a - 71 = 0. Calculate the remainder when w is divided by 13*(2/d - -1).
25
Let l(v) = 236 - 43 + 5142*v - 5146*v. Calculate the remainder when l(31) is divided by 4.
1
Suppose -4*h - 36 = -m + 5*m, -9 = 3*h - 3*m. Let f(v) = v**3 + 8*v - 20. Let a be f(2). Calculate the remainder when 26 is divided by 2 - (2 - 2/a)*h.
4
Let q(m) = -m**3 + 15*m**2 + 16*m + 49. Let k be q(17). Let z = k + 269. What is the remainder when 188 is divided by z?
8
Suppose 27*n - 14 = -66 + 241. What is the remainder when n is divided by 7?
0
Let l(m) = -m**3 + m**2 + 21*m + 54. What is the remainder when l(-3) is divided by 20?
7
Suppose 0 = g - 4*g + 6. Let w be ((-128)/6)/8*-30. Suppose -g*u = -12*u + w. Calculate the remainder when u is divided by 5.
3
Let i(d) = 18*d - 609. Calculate the remainder when 478 is divided by i(39).
13
Suppose t - 185*v + 182*v = 11, -5*t + 42 = -2*v. What is the remainder when 5061 is divided by t?
5
Let d(g) = -18*g - 24. Let w be d(-3). Suppose 2*b - 2 = w. What is the remainder when 10/(2/(-18)*-2) is divided by b?
13
Let t be (-18)/(-45)*(-5725)/(-10). Let f = t - 161. What is the remainder when f is divided by 21?
5
Suppose 3*u + 47 = -0*f + 5*f, -4*f - 5*u + 45 = 0. Let d = 7 - 7. Suppose d = s + 3*s - 20. What is the remainder when f is divided by s?
0
Let d(n) = -6*n**2 - 206*n - 46. Let v be 0 + (2 + -4 - -2). Calculate the remainder when -4*(-4 + v + -9) is divided by d(-34).
8
Suppose -65*v = 3*m - 60*v - 5062, 0 = -3*v + 6. What is the remainder when m is divided by 555?
19
Let r(j) = 2*j - 7. Let x(l) = 10*l - 221. Let t = -734 + 759. What is the remainder when x(t) is divided by r(6)?
4
Let c(u) = u**3 - 8*u**2 + 2*u + 10. Let y = 1883 + -1495. What is the remainder when y is divided by c(8)?
24
Let r = 110 - 20. Suppose 2*p - 5*u = 39, 5*p - 2*u - r = 3*u. Suppose 4*w = 2*b - 16, 0*w = -5*b - 2*w + 76. Calculate the remainder when p is divided by b.
3
Let b(x) = -161*x - 1594. Calculate the remainder when b(-10) is divided by 2.
0
Let x = 423 - 421. What is the remainder when 71 is divided by (-1 + x - 7)*15/(-6)?
11
Suppose -5434 = 15*h - 22*h - 2*n, 0 = 4*h - n - 3118. Calculate the remainder when h is divided by 98.
92
Suppose -8*u = 42 + 86. Suppose 6*b - 85 = b. What is the remainder when b is divided by u/(-24)*((-31)/(-2) - 2)?
8
Suppose 4*l = -2*j + 9*l + 4, 103 = 5*j + 3*l. What is the remainder when 384 is divided by j?
10
Let k be ((-15)/(-9))/((-70)/(-84)). Suppose 0 = 4*z + k*g - 126, -z - g = -4*g - 35. Calculate the remainder when 318 is divided by z.
30
Let y(f) = 3*f**3 - 5*f**2 + f + 2. Let z(l) = 4*l**3 - 14*l**2 - 165*l + 706. What is the remainder when y(4) is divided by z(5)?
25
Suppose -296*v = -260*v - 1512. Let n(c) = 13*c**2 - 3*c - 7. What is the remainder when n(-5) is divided by v?
39
Let o(y) = -25*y**2 + 4*y + 34. Let s be o(-4). Let a = 390 + s. What is the remainder when 37 is divided by a?
5
Suppose -74*z - 49*z + 1230 = 0. What is the remainder when 1595 is divided by z?
5
What is the remainder when (-2 - 4) + (1 - 0 - -595) is divided by 292?
6
Let n(k) = -11*k**2 + 30*k - 5. Suppose 8*p - 330 = 3*p. Calculate the remainder when n(2) is divided by p/10 - (-20)/50.
4
Let y = -622 - -687. Suppose -x = 5*k - y, -38 - 37 = -5*k + x. What is the remainder when k is divided by 9?
5
Let a = -3 + 8. Suppose 0*q - a*q = -475. Suppose 14610 - 14612 = -w - 3*f, -4*f - 12 = 0. Calculate the remainder when q is divided by w.
7
Let r = -4084 - -5497. What is the remainder when r is divided by 464?
21
Let p = 708 + -691. Let h = 230 - 30. Calculate the remainder when (5/10)/(1/h) is divided by p.
15
Let j = -227 - -238. Suppose -345 = -5*v - 2*l, 5*v - 319 - j = -5*l. What is the remainder when v is divided by 27?
17
Suppose 0 = -3605*l + 3560*l + 8595. What is the remainder when 766 is divided by l?
2
Let v(z) = 1. Let u(o) = -19*o + 4. Let p(j) = -u(j) - v(j). Suppose -3*c + 33 = 5*y - 2*y, -5*y = -c - 25. What is the remainder when p(y) is divided by 28?
25
Let j = -13884 + 13892. Suppose 5*b - 183 = -4*l + l, -2*b + 74 = 2*l. Calculate the remainder when b is divided by j.
4
Suppose 88*l + 4186 = 37186. Calculate the remainder when 480 is divided by l.
105
Suppose 0 = -118*p + 23581 + 9931. What is the remainder when p is divided by 75?
59
Let h(p) = 12*p - 4. Let x = -325 + 241. Let c = 141 + x. What is the remainder when c is divided by h(2)?
17
Calculate the remainder when 1023 is divided by -6 + (65/455)/((-1)/(-959)).
106
Let t = 1196 + -743. Suppose -3*i - 260 = -7*i. Calculate the remainder when t is divided by i.
63
Suppose 0 = 563*y - 532*y - 36735. What is the remainder when y is divided by 36?
33
Let a(b) = b**2 - 6*b + 5. Calculate the remainder when (11/(-66))/(2/(-12))*378 is divided by a(-7).
90
Let s = 1050 + -999. Calculate the remainder when 123 is divided by s.
21
Let n(m) = 2*m**2 - 218*m + 2009. Calculate the remainder when 1252 is divided by n(99).
5
Let n(m) = m**2 - 6*m + 13. Let x be n(3). What is the remainder when 35 is divided by -6 + 0 + (x - -11)?
8
Let b be (1/(-2))/((-1)/(-12)). Let j be -1 + 25 + 2 - b/(-3). Let o = -21 + j. What is the remainder when 5 is divided by o?
2
Suppose 191*f - 49 = 184*f. Suppose -f*i + 6 + 92 = 0. What is the remainder when i is divided by 2?
0
Let i = -6509 - -8015. What is the remainder when i is divided by 116?
114
Suppose 910 = 5*r - 0*r. Let w be ((-1)/(-1))/(4/(-236)). Let a = w + 96. What is the remainder when r is divided by a?
34
What is the remainder when 1002/(-4509)*(-20187)/2 is divided by 51?
50
Suppose -8 - 22 = -6*q. Suppose q*w = -3*r + 27, -2*w - w + 2*r = -20. Calculate the remainder when 9 is divided by (2/w)/((-7)/(-210)*5).
1
Let a(m) be the second derivative of 1/20*m**5 - 9*m + 3*m**2 + 0 + 4/3*m**3 - 7/12*m**4. Calculate the remainder when 68 is divided by a(6).
14
Suppose 216 = 15*f - 6*f. Let m(n) = -20*n - 856. Calculate the remainder when m(-47) is divided by f.
12
Suppose -169*f = -3918 - 645. Calculate the remainder when 398/6 - 4/(-6) is divided by f.
13
Let l(h) = 37*h**2 + 178*h + 4815. What is the remainder when l(-33) is divided by 41?
38
Let x(n) 