h(f) = f + 14. Let u be 2*((-105)/6)/5. Suppose 2*p = 5*p - 6. Calculate the remainder when h(u) is divided by p.
1
Let h = 57 + 24. Suppose -2*u - 12 = -3*u + 5*a, -4 = 2*a. Suppose 79 - 29 = u*b - 4*o, -6 = 3*o. What is the remainder when h is divided by b?
18
Let r be (-24)/(-30) - (-62)/10. Suppose -367 = -r*i + 298. Let b = -66 + i. Calculate the remainder when 54 is divided by b.
25
Let c(h) = h**3 + 34*h**2 + 63*h - 10. What is the remainder when c(-24) is divided by 163?
0
Let p(m) = -3 + 12*m + 11 + 2. Calculate the remainder when p(8) is divided by (-1040)/(-30) - (20/(-6) + 2).
34
Let c = 170 + -522. Let r = -338 - c. What is the remainder when 361 is divided by r?
11
Let z(s) = 34*s - 536. Let u be (-111)/3 + 6/2. Let x = 63 + u. What is the remainder when x is divided by z(16)?
5
Let n(w) = 23*w + 43. Let b be n(8). Let i = -187 + b. Calculate the remainder when 239 is divided by i.
39
Suppose 13*n = -k + 15*n + 273, 0 = 5*k - 3*n - 1365. Calculate the remainder when k is divided by 29.
12
Let a = 6179 - 2442. What is the remainder when a is divided by 17?
14
Let x = -25789 + 26168. Calculate the remainder when 777 is divided by x.
19
Let v = -61 - -64. Suppose 0 = -f + 4, -v*f + 4*f = -l + 60. What is the remainder when 166 is divided by l?
54
What is the remainder when 101601/33 - ((-5)/(-33) - 19/57) is divided by 44?
43
Let f(p) = p**2 + 5*p + 18. Let t be f(-5). What is the remainder when ((-871)/(-39) - 12)/(2/t) is divided by 3 + 92/(-6)*-3?
44
What is the remainder when 674817/338 - (-7)/2 is divided by 284?
12
Suppose -1258 - 600 = -9*c - 625. Calculate the remainder when c is divided by 67.
3
Let h(s) = 5*s - 54 - 15*s + 17 + 0*s. What is the remainder when 298 is divided by h(-8)?
40
Let p = -45 - 244. Let b = p - -332. Calculate the remainder when b is divided by 29.
14
Suppose 83 + 102 = 5*x. Suppose 3*u = -5*i + 101, -2*u + x = -3*i - 43. Let y(a) = 170*a + 33494. Calculate the remainder when u is divided by y(-197).
1
Let i(q) = -7*q - 4. Let m(u) = 20*u + 12. Let z(j) = -7*i(j) - 2*m(j). Let h = 294 - 290. Calculate the remainder when z(h) is divided by 15.
10
Let r(l) = -86*l**2 + 7*l + 2. Let w(z) = z + 1. Let k(b) = -r(b) + 4*w(b). Let m be k(1). Let s = m - 27. Calculate the remainder when s is divided by 16.
10
Let w(o) = 4*o - 15. Let m = 536 - 504. Suppose 12*i - 8*i - m = -5*f, -5*i - 5*f = -45. Calculate the remainder when w(10) is divided by i.
12
Let l = -72 + 94. Let y be 34 + 5/(-15)*-3. Suppose n + 3*t = 46, n + 4*t - 12 - y = 0. What is the remainder when n is divided by l?
21
Suppose 0 = 6986*u - 6990*u + 92. Calculate the remainder when 229 is divided by u.
22
Let a = 35 + -20. Let m = 20 - 1. Suppose 4*u - m = -3. What is the remainder when a is divided by u?
3
Let k be (-60)/80 + (-509)/4. Let q be k/(-3 + 1) + 8/(-4). Let y = 72 - q. Calculate the remainder when 13 is divided by y.
3
Let q be 0 - 5/((-15)/6). Suppose g + 2*g + 2*r = 509, 0 = -g - q*r + 163. Let n = 2352 + -2294. What is the remainder when g is divided by n?
57
Let z be -2 - -5*(-6 - -7). Suppose -j = -134 - z. What is the remainder when j is divided by 20?
17
Let f = 3731 - 3677. Calculate the remainder when 314 is divided by f.
44
Suppose 0 = 5*s - q - 464, 5*s - 2*s - 276 = 3*q. Let d = 201 - s. Suppose -n + 50 = 22. What is the remainder when d is divided by n?
24
Suppose 2*s - 3*q + 514 = -215, -1834 = 5*s + 4*q. Let r = s + 454. What is the remainder when r is divided by 6?
4
Let z be (-40 + -2)/7 - -44. Let o = 62 - z. Suppose 0*v - 3*v + n + 203 = 0, -3*n + 357 = 5*v. What is the remainder when v is divided by o?
21
Let c be (-90)/4 + 2/4. Let m = c - -36. Let a = -1549 - -1658. What is the remainder when a is divided by m?
11
Let u(p) = -1007*p - 1918. Calculate the remainder when u(-4) is divided by 47.
42
Suppose -21*s + 10797 - 2250 = 0. Suppose s = 12*i + 35. What is the remainder when i is divided by 8?
7
Let m be 17 - 1/2*-4. Suppose m*d - 386 - 279 = 0. What is the remainder when d is divided by 5?
0
Let z be 2 + -5 + (-95)/5. Calculate the remainder when (-2)/(-1)*49 + 2 is divided by z/(-231) + (-710)/(-42).
15
Let a(n) = 24*n**3 - 9*n**2 - 3*n + 11. What is the remainder when 4045 is divided by a(1)?
20
Suppose -3*a - 2*x + 52 = 0, 4*x = 3*a - 1 - 39. Let d(y) = -72*y + 1. What is the remainder when d(-1) is divided by a?
9
What is the remainder when 664 is divided by (-1272)/(-56) - 24/(-84)?
20
Let f be (-4 - -4) + 4 - 1. Suppose f*p - 34 = 59. Let i(b) = -120*b + 2. Calculate the remainder when i(-1) is divided by p.
29
Calculate the remainder when (-2)/(5 - -1 - 65088/10845) is divided by 151.
148
Let s be (2 - (-49)/(-14))*4/(-3). Calculate the remainder when (-7 + 10 + -30)/(1 - s) is divided by 14.
13
Let f = 8171 + -7863. What is the remainder when f is divided by 62?
60
What is the remainder when 2/(-3) + (-59948)/(-84) is divided by 51?
50
Let j = 490 + -482. Suppose 0 = -3*w + r + 701, -5*r = 3*w - j*r - 699. Calculate the remainder when w is divided by 17.
13
Let b be ((-42)/15)/((-3)/(-180)*-2). Let h = -68 + b. What is the remainder when 127 is divided by h?
15
Suppose v + 4*x = 64, 11*x = 2*v + 14*x - 143. What is the remainder when 2051 is divided by v?
75
Suppose r - 1 = -0*r, 3*h - r = 710. Let j(f) = 2*f + 70. Calculate the remainder when h is divided by j(-18).
33
Let q = 983 - 927. What is the remainder when q is divided by 5?
1
Let r = 19 + -8. Suppose 5*d + a - 11 = 0, -4*d + 19 = -4*a - 9. Suppose d*i - 3 = 0, -i + 2*i = 4*c - 27. What is the remainder when r is divided by c?
4
Let c(w) = -35*w**3 - 30*w - 122. Calculate the remainder when c(-7) is divided by 23.
18
Suppose 145*s - 107*s = 4180. Calculate the remainder when s is divided by 23.
18
Let q(p) = -19*p**3 + 10*p**2 + 15*p + 4. Calculate the remainder when 2986 is divided by q(-2).
164
Let b(p) = p**3 + 19*p**2 + 31*p - 36. Suppose k + 16 = 5*k. Suppose -k*r = 13*i - 14*i + 63, 25 = -5*i. What is the remainder when b(r) is divided by 10?
5
Suppose 0 = -g + 5. Suppose -g = h - 24. Suppose -4*a - 65 = -o + 142, 3*o - 541 = -4*a. What is the remainder when o is divided by h?
16
Suppose x + 55 = -2*j + 486, 5*x - 3*j = 2103. Calculate the remainder when x is divided by 53.
52
Let g = 5856 + -5829. Calculate the remainder when 422 is divided by g.
17
Suppose 0 = 13*f - 3999 + 138. What is the remainder when f is divided by 37?
1
Let p = -246 + 265. Let z(u) = 2*u**2 - 9*u - 3. What is the remainder when z(-5) is divided by p?
16
Suppose 0 = 169*l - 170*l + 3*d + 1587, 4*l - 5*d = 6369. What is the remainder when l is divided by 531?
3
Let n(d) = -4*d**2 + 21*d + 23. Calculate the remainder when 139 is divided by n(4).
10
Let d be (942/4 - 0) + (-69)/(-138). Let s = 256 - d. What is the remainder when 35 is divided by s?
15
Suppose -44 - 16 = -4*y. Suppose -r = -s + 81 - y, 249 = 4*s - r. Calculate the remainder when s is divided by 19.
4
Let b = -104 + 120. Suppose 3*y = -4*y. Suppose y = -i + 1 + 2. Calculate the remainder when b is divided by i.
1
Let z = 4952 - 4885. What is the remainder when 298 is divided by z?
30
Let n = -6996 + 7000. What is the remainder when 1260 is divided by n?
0
Suppose 140 = l - 15*w + 18*w, 5*l = -w + 630. Let f = l + -20. Calculate the remainder when f is divided by 32.
9
Let d = 10 - -4. Let z(i) = -2*i**2 + 29*i + 1582. What is the remainder when z(36) is divided by d?
6
Suppose -32 = -2254*s + 2258*s. Let r(o) = -3 - 5*o + 8*o**2 + o - 2*o + o**3. Calculate the remainder when r(s) is divided by 24.
21
Suppose -l = 3*s - 12, 3*l + 15 = -4*s + 51. Suppose 0 = 5*p + 20 - 115. What is the remainder when p is divided by l?
7
Let y = 13003 - 12647. Calculate the remainder when y is divided by 33.
26
Let d be (23/5 + -5)*160. Let s = 1 - d. Calculate the remainder when s is divided by 26/(-13) + (1 - -34).
32
Suppose -8*f + 3*f = -5*x - 45, 4*f - 3*x - 36 = 0. What is the remainder when 232 is divided by (-3)/(-1)*(f - -4)?
37
Suppose -6*f = -3*f - 1746. Let m(a) = -139*a - 1097. What is the remainder when f is divided by m(-8)?
12
Suppose 13 = -23*l + 62 + 112. What is the remainder when 1243 is divided by l?
4
Let n(l) = -2*l**3 + 3*l**2 + 6*l - 3. Calculate the remainder when n(-3) is divided by 