 What is the remainder when y is divided by p?
3
Let u = -4436 + 4456. Calculate the remainder when (-1808)/(-7) - (-2)/(-7) is divided by u.
18
Let g(s) = -s + 12. Let f be g(8). Suppose 0*d - 132 = -f*d. Let y = 201 - 182. Calculate the remainder when d is divided by y.
14
Suppose 2*z + 0*r + r - 50 = 0, -r = 2. Suppose 0 = -m + 3 + z. What is the remainder when m is divided by 15?
14
Suppose 0 = 9*v - 43 - 110. Let w be 5/(2 - (-22)/(-12)). Let c = w - v. Calculate the remainder when 49 is divided by c.
10
Let j(g) = 2*g + 6. Let n be j(2). Let u = 18 + 21. Calculate the remainder when (n - 1)/(1/17) is divided by u.
36
Let w(k) = -2*k**3 + 178*k**2 + 190*k + 358. What is the remainder when w(90) is divided by 20?
18
Suppose 3 = -w + 7. Suppose -4071 = -223*k + 612. Calculate the remainder when k is divided by w.
1
Suppose 0 = -u + 3*y + 325 - 339, 0 = -5*y + 30. Let s(p) = -p**2 - 14*p - 4. What is the remainder when s(-7) is divided by u?
1
Suppose 0*d + 9 = -3*d, 0 = 4*z + d - 21. Calculate the remainder when (306 - 4)/((-52)/(-26)) is divided by z.
1
Suppose 2*h - 15106 = -4*s - 582, -3*s + 4*h + 10904 = 0. Calculate the remainder when s is divided by 18.
14
Suppose -3*y + 686 = j - 836, 4*y - 2028 = -j. Calculate the remainder when y is divided by 405.
101
Let l(t) = -t**3 - 29*t**2 - 207*t + 26. What is the remainder when 283 is divided by l(-12)?
35
Calculate the remainder when 286 is divided by (5 - (-24)/28)*7.
40
Suppose 5*h + 3*g = 1411, -10*h + 1399 = -5*h - 3*g. Calculate the remainder when h is divided by 99.
83
Let i(j) = 18*j**2 - 24*j - 55. Calculate the remainder when i(-2) is divided by 23.
19
Let c = -72 - -283. Let r = 294 - c. What is the remainder when r is divided by 5?
3
Suppose 50*u - 72*u = 1144. Calculate the remainder when (-471)/(-9) - u/78 is divided by 20.
13
Calculate the remainder when ((-402)/268)/(2/(-60)) is divided by 27.
18
Suppose 5*q - w - 991 = 0, 2*w + 200 = q - 0*q. What is the remainder when q is divided by 54?
36
Let r(h) = 7*h**2 + 440*h - 128. Calculate the remainder when r(-65) is divided by 824.
23
Suppose -160*n - 70 = -161*n. Suppose 275*p + n = 280*p. What is the remainder when 68 is divided by p?
12
Let q = -13888 + 14157. Calculate the remainder when q is divided by 98.
73
Suppose -9911 = 5*n + 6*n. Let s = -300 - n. What is the remainder when s is divided by 43?
42
Suppose 3*y - 2*w - 1560 = 0, 0 = 27*y - 29*y - 5*w + 1059. Suppose 6*i = 180 + y. Calculate the remainder when i is divided by 34.
15
Suppose -5*l = s - 507, 73*s - 75*s - 5*l + 989 = 0. What is the remainder when s is divided by 35?
27
What is the remainder when 1024 is divided by 12 - ((336/8)/6 + 2)?
1
Let l(x) = x**2 + 129*x + 4309. Calculate the remainder when 1220 is divided by l(-66).
12
What is the remainder when (3/4)/(-3) + -16 + (-169524)/(-144) is divided by 240?
201
Let l(m) = -m**3 + 3*m**2 - 137*m - 361. Calculate the remainder when l(-21) is divided by 28.
24
Let m(r) = 190*r - 5. Let i(t) = -38*t + 1. Let u(g) = -22*i(g) - 4*m(g). Let n = -38 - -51. Calculate the remainder when u(1) is divided by n.
9
Suppose -15*w = -21*w + 2430. Suppose w = -18*h + 23*h. Let n = h - 66. Calculate the remainder when 26 is divided by n.
11
Suppose -2664*m = -2665*m + 53. Calculate the remainder when 258 is divided by m.
46
Suppose 5*o = -h + 59, -3*h - 4*o + 125 = -2*o. Let k = 71 - h. Suppose -326*b + 5052 = -180*b + 275*b. What is the remainder when k is divided by b?
8
Let r(q) = -46*q + 5. Let n(y) = 428*y + 26156. What is the remainder when r(-4) is divided by n(-61)?
45
Suppose 2*q - j = 26, 3*q + 28*j = 25*j + 21. Calculate the remainder when 2485 is divided by q.
10
Suppose 10 = -5*i, 3*x + 5*i - 2058 + 433 = 0. What is the remainder when x is divided by 3?
2
Let x be (4 + -3)*-1 - -10. Suppose 320 = x*b - 391. Calculate the remainder when b is divided by 23.
10
Let u = -610 + 240. Let m = u - -549. Calculate the remainder when m is divided by 9.
8
Let h = -4810 - -4885. Calculate the remainder when 443 is divided by h.
68
Suppose -u + 31 = 2*v, 13*u - 71 = -4*v + 8*u. Calculate the remainder when 2767 is divided by v.
9
Let d = -101 - -171. Let f be -2 - (-13 + 2)*12/6. Suppose 0 = -a + m + f, 16*m - 21*m = 3*a - 92. Calculate the remainder when d is divided by a.
22
Suppose 0 = s + 5, -4*m = -3*m + 3*s - 40. Suppose -221 = -u + i, 1042 = 5*u + 5*i - 23. Calculate the remainder when u is divided by m.
52
Suppose 15 + 278 = 4*o - 5*v, 3*o + 4*v - 243 = 0. Suppose -5*x - k + 160 = 0, -214*k - 160 = -5*x - 216*k. Calculate the remainder when o is divided by x.
13
Let m = 53 - 36. Calculate the remainder when (-35265)/(-312) + (-4)/26 + 2/16 is divided by m.
11
Let i(h) = -32*h + 4. Suppose -p + 1392 = 35*p - 12*p. Calculate the remainder when i(-7) is divided by p.
54
Suppose 65 = 5*p - 3*d, 2*p + 2*d - 5 = -d. Suppose 732 + 1738 = 65*c. What is the remainder when c is divided by p?
8
Let y(f) be the first derivative of 5*f**3/3 - 2*f**2 + 3. Suppose 3*k - 5*s - 29 = 0, 2*k + 4*s - 38 = k. What is the remainder when y(3) is divided by k?
15
Suppose -3*p = 7*u - 328, -66 + 82 = 4*u. What is the remainder when p is divided by (-1 + 13/5)*5?
4
Suppose -55*n + 66*n - 15642 = 0. What is the remainder when n is divided by 15?
12
Suppose 2*v = z + 88, -98 = -v - v - 4*z. Let w = -44 + v. What is the remainder when 1*2 + (-1 - (-2)/2) is divided by w?
0
Let b(d) = 13*d**2 + 58*d + 55. Suppose -81 = 15*f - 18*f. Calculate the remainder when f is divided by b(-1).
7
Suppose 2*c + 2*i = 42, 4*i + 150 = 12*c - 7*c. Let a(m) = -2*m**3 + 53*m**2 - 25*m - 17. Calculate the remainder when 168 is divided by a(c).
6
Suppose 4*s - 2*n - 366 = 0, 5*s - 3*n = -4*n + 440. Calculate the remainder when (2 - (-27)/(-9)) + 267 is divided by s.
88
Suppose 5*x + 16 = x. Let m(q) = 18*q**2 - q**2 - 4 - 14*q**2 + 10*q - 3*q. Calculate the remainder when 60 is divided by m(x).
12
Let v = 4536 + -4492. What is the remainder when 14123 is divided by v?
43
Let z(o) = -o**2 + 20*o - 6. Let a be z(12). Suppose a*k - 304 = 86*k. What is the remainder when k is divided by 21?
13
Let a(g) = 4*g**2 - 23*g - 188. Calculate the remainder when 73 is divided by a(-5).
19
Suppose -344*x + 106278 + 25451 = -118703. What is the remainder when x is divided by 2?
0
What is the remainder when 50 is divided by ((-55)/15 - -5)*(-6)/(-4)?
0
Let x be ((-25)/(-5) + -4)*-1. Let u(h) be the second derivative of -11*h**3/6 - 2*h**2 - 5*h. Calculate the remainder when 25 is divided by u(x).
4
Let y be (327/1)/(16 + (-525)/30). Suppose -5*i = 5 - 65. What is the remainder when (4 - y)/3 + 7 is divided by i?
9
Let z(g) = -g**3 - 3*g**2 + 84*g + 265. What is the remainder when 1*(-6)/4*-16 is divided by z(-3)?
11
Suppose 0 = -19*w + 17*w + 16. Let h be (-25)/(-2) - 10/(w + 12). Suppose u - 169 = -h*u. What is the remainder when u is divided by 9?
4
Let b be (4/16 + 0)/((-2)/(-104)). Suppose b*i = 10*i + 21. Calculate the remainder when 18 is divided by i.
4
Let t(r) be the second derivative of r**3/6 + 23*r**2/2 - 4*r. Let d be t(-14). Let z(u) = 2*u - 5. Calculate the remainder when 38 is divided by z(d).
12
Let n(s) = -547*s - 4359. Calculate the remainder when 43 is divided by n(-8).
9
Calculate the remainder when 1366 - (-207 - -15)/16 is divided by 20.
18
Let s(y) = -y**2 + 17*y + 77. Let v be s(20). Suppose 7*u = -v*u + 6912. Calculate the remainder when u is divided by 29.
27
Let j = 63 - 56. Let a be -1 - (-2)/1*j. Suppose -m = -u + a, -3*m = -6*m - 12. Calculate the remainder when 14 is divided by u.
5
Suppose 4*o - 1731 + 319 = -4*k, -712 = -2*k - 4*o. What is the remainder when k is divided by 13?
12
Let a(f) = -2*f**2 + f. Let o be a(0). Let s(x) = -x**2 + 5*x + 19. Calculate the remainder when 130 is divided by s(o).
16
Suppose 4*q - 161 = -q - 4*x, q - 79 = 7*x. What is the remainder when 162/4 + (-2)/(-4) is divided by q?
4
Suppose 24*n - 2*m + 164 = 27*n, -5*n + 4*m = -288. What is the remainder when 1142 is divided by n?
22
Suppose 2*l = h - 837, -68*h + 5*l - 865 = -69*h. Calculate the remainder when h is divided by 209.
9
Let a(l) = 12*l - 3 + 11*l + 58*l. Let g be a(2). Suppose 3*k = -t - 10 + g, 0 = 2*k + t - 98. Calculate the remainder when k is divide