?
8
Let k = 22897 + -20937. What is the remainder when k is divided by 9?
7
Suppose -7*m + 2110 = 3*m. Suppose 9*z + 40 = m. Suppose 13*p - 14*p + z = 0. What is the remainder when 74 is divided by p?
17
Suppose 64 = -77*l + 109*l. Suppose l*j + 72 - 218 = 0. Calculate the remainder when 361 is divided by j.
69
Let v(k) = 2*k**2 - 7*k + 8. Let p be v(4). Suppose -2*n + p = 3*y, -y - 3*n = -n - 8. Calculate the remainder when (-2321)/(-66) - y/12 is divided by 6.
5
Let l = -420 - -432. Suppose -l*m + 195 = 135. Calculate the remainder when 42 is divided by m.
2
Let q(w) = -1668*w + 6676. Calculate the remainder when 160 is divided by q(4).
0
Let n(o) = -o**3 - 4*o**2 + 5*o + 3. Let i(z) = -z. Let v(q) = 6*i(q) + n(q). Suppose 0 = 4*l - 0 - 72. What is the remainder when v(-5) is divided by l?
15
Suppose -204*s = 105*s - 13905. Calculate the remainder when s is divided by 19.
7
Let r = 139 - 135. Suppose -36*u = -35*u + 6. What is the remainder when 37 is divided by (u/r)/((-12)/120)?
7
Let x(h) = 68*h**2 - 2 - 69*h**2 + 0*h + 6*h + h. What is the remainder when 14 is divided by x(3)?
4
Suppose 5*a + 4*w - 135 = 237, -3*w - 158 = -2*a. Calculate the remainder when 244 is divided by ((-7)/(-2) + -4)/((-2)/a).
16
Let t be 0 + (-4 - -3 - -1). Suppose 4*r + c - 30 = -2*c, 3*r + c - 25 = t. Suppose o - 32 = r. What is the remainder when o is divided by 11?
8
Suppose -3*v - 4 = -s + 8, -4 = -4*s + v. Suppose -3*y = -y - 2*b - 366, s = -4*y - b + 732. Calculate the remainder when y is divided by 5.
3
Let o(z) = 15*z**2 + 3*z + 5. Let g be o(4). Let x = 269 - g. Calculate the remainder when 90 is divided by x.
6
Let a(m) = m - 2. Let x be a(7). Suppose -5*y - 4*g = -27, -5*g = -x*y - 0*g. Suppose n + y = 13. What is the remainder when 37 is divided by n?
7
Let f = 391 + -385. Suppose -f*g - 1084 = -6322. What is the remainder when g is divided by 73?
70
Let v(b) = -b**2 + 77*b - 1387. What is the remainder when 6054 is divided by v(35)?
78
Suppose 84*r + 228 = 90*r. What is the remainder when 110 is divided by r?
34
Suppose 1092 = -56*q + 58*q + 3*z, 4*q = z + 2198. What is the remainder when q is divided by ((-24)/(-5))/(1/5)?
21
Suppose -327*s + 22320 + 39888 = -3*s. Calculate the remainder when 742 is divided by s.
166
Let o = 18177 - 5128. Calculate the remainder when o is divided by 17.
10
Let b = -23 - -50. Let x(m) be the second derivative of -m**5/20 - m**4/4 + 2*m**3/3 + 5*m**2 - 32*m. Calculate the remainder when b is divided by x(-4).
7
Suppose 0 = -133*w + 141*w - 104. Suppose -600 = 3*z - 7*z. Suppose -p + 26 = 5*a, -p - 3*a - z = -5*p. What is the remainder when p is divided by w?
10
Let o(n) = -n**3 + 13*n**2 + 5*n - 273. What is the remainder when 3751 is divided by o(6)?
7
Let s be (-1 - 3/(-2))/(2/12). Suppose 0 = 2*k - 2*i - 27 + 11, 0 = -4*k - s*i + 32. Calculate the remainder when 9 is divided by k.
1
Let y(v) = 16*v**3 + 5*v - 1. Let z be y(2). Let j = z - 7. What is the remainder when j is divided by 47?
36
Suppose -38*i - 8288 = -75*i + 21*i. What is the remainder when i is divided by 131?
125
Suppose 0*c = 4*c + 5*a + 2167, -5*a - 1624 = 3*c. Let f = -401 - c. Calculate the remainder when f is divided by 40.
22
Let g = -366 - -534. Suppose -g = -7*l + 1043. Suppose 4*h = 175 + l. Calculate the remainder when h is divided by 22.
21
Let h(t) = t**2 + 6*t + 5. Let d be h(-4). Let v = -155757 - -155791. Calculate the remainder when v is divided by 2/(-6) - 58/d.
15
Suppose 0 = -29*n + 154*n - 4750. What is the remainder when 232 is divided by n?
4
Suppose -930 = -2*c - 28*c. Suppose -23*x - 5752 = -c*x. Calculate the remainder when x is divided by 24.
23
Let j(r) = 74*r + 1788. What is the remainder when 515 is divided by j(-23)?
85
Suppose -2*w - 2*w = 0, 4*w + 18 = 2*t. Suppose -4*l = i - 91, 0 = 5*l + 4*i - 109 + t. What is the remainder when 159 is divided by l?
15
Suppose 0 = -6*p - 10 - 20. Calculate the remainder when (2 - (11 + p)) + 177/3 is divided by 2.
1
Suppose -3*m - m + k = -669, -k = 3*m - 500. What is the remainder when 842 is divided by m?
7
Suppose 98*t - 42441 = -20*t - 11*t. Calculate the remainder when t is divided by 97.
38
Let n = -1282 - -1475. Let p(w) = -w + 22. What is the remainder when n is divided by p(0)?
17
Suppose -2 = -a - g, -4*a - 7*g + 4*g = -9. Suppose 3*x - 114 = -a*c, 0 = -2*c + 5*c + 4*x - 109. Calculate the remainder when 127 is divided by c.
41
Let h(p) = 5*p**2 + 95*p - 66. Calculate the remainder when 88 is divided by h(-20).
20
Let g = -1110 - -1140. What is the remainder when 1407 is divided by g?
27
Let s(k) = -7*k - 51. Suppose -5*t + 0*t = -5*p + 35, 26 = -2*t - p. What is the remainder when 73 is divided by s(t)?
21
Suppose -13*o + 10*o + 105 = 3*n, -217 = -5*o + 2*n. What is the remainder when 2622 is divided by o?
39
Let g = -1556 - -1977. Calculate the remainder when g is divided by 410.
11
Suppose 14 = -m + 18. Let y(t) = -2*t + 30. Calculate the remainder when 151 is divided by y(m).
19
Let m be (1 - -5)/(-6)*-166. Suppose 98 = -m*d + 173*d. What is the remainder when 236 is divided by d?
12
Suppose 3*d - 1003 = s - 1010, 0 = s + 5*d - 31. Suppose 0 = -3*k + 5*k - 2, 5*k = m - 22. Calculate the remainder when m is divided by s.
11
Suppose -3*l = -3*i + 3009, -2*i + 17*l - 18*l + 2009 = 0. What is the remainder when i is divided by 18?
14
Let v be (4/(-10))/(10/(-125)). Suppose o - 42 = 5*o + 3*i, 68 = -v*o + 4*i. Let k = 21 + o. What is the remainder when 24 is divided by k?
6
What is the remainder when (95/(-10))/(-19)*22*72 is divided by 200?
192
Let m = 5 + -2. Suppose c = 2*c - m. Suppose -r + c*r = 114. What is the remainder when r is divided by 15?
12
Suppose 5*d - 28 = 22. Let j = -72910 + 72920. Calculate the remainder when (-1 - d)/(1/(-4)) is divided by j.
4
Let m(n) = -10*n + 283. Let k be m(29). Let y(f) = -3*f**2 - 27*f - 13. Let b = 18 - -36. Calculate the remainder when b is divided by y(k).
25
Suppose -o - o + 46 = 0. Let m be -95 - (4*-2)/4. Let w = -85 - m. What is the remainder when o is divided by w?
7
Let x(i) be the third derivative of i**6/60 + 4*i**5/15 + i**4/8 - 5*i**3 + 4*i**2 - 13. Calculate the remainder when x(-6) is divided by 7.
5
Let r(n) = 22*n - 16*n - 36 - 108*n. What is the remainder when r(-3) is divided by 34?
32
Let h(z) = -z + 7. Let n be h(8). What is the remainder when 14 - -79 - (-3)/n is divided by 26?
12
Calculate the remainder when 82 is divided by 3 + 42 + (5 - 48/8).
38
Calculate the remainder when 222 is divided by ((-3)/((-27)/(-3)))/(6/90) + 87.
58
Let z(n) = 2 + n - 5*n**3 - 474*n**2 + 472*n**2 - 7*n**3. What is the remainder when z(-1) is divided by 4?
3
Suppose 0 = 373*u - 60*u - 4382. Suppose -2*d - 186 = -4*p, -4*p - 3*d = p - 249. Calculate the remainder when p is divided by u.
6
Suppose -3 = m - 39. Calculate the remainder when m is divided by (-846)/(-126) - 7 - (-186)/14.
10
Suppose -8*b - 432 = -20*b. Calculate the remainder when 37 is divided by 16/(-4)*(-225)/b.
12
Let q(d) = -54*d**2 - 329*d - 21. What is the remainder when 3814 is divided by q(-6)?
7
Suppose 9597 + 7837 = -27*p + 73*p. What is the remainder when p is divided by 126?
1
Let z = 152 - 135. Suppose 8*k - 625 = -z*k. Calculate the remainder when 88 is divided by k.
13
Let c = -682598 + 682616. Suppose -w - 640 = -5*w. What is the remainder when w is divided by c?
16
Suppose 4*w = -3*q + 11 + 49, 0 = 2*w + 2*q - 30. Let x = w + 0. Calculate the remainder when 238 is divided by x.
13
Suppose -63755*l = -63832*l + 8701. Let c = 70 + -40. What is the remainder when l is divided by c?
23
Let s(w) = -572*w**3. Let k be s(-1). Calculate the remainder when k/2 - (3 + -3) is divided by 16.
14
Let p(q) = -2*q**3 + 19*q**2 - 7*q - 131. What is the remainder when 1557 is divided by p(7)?
62
Suppose 648*r - 102375 = 423*r. Calculate the remainder when r is divided by 285.
170
Suppose -2*p - 9*p = -198. Suppose 7*x + 4*c - 5 = 2*x, 30 = x - 5*c. Suppose 25 = x*i, 13 = 2*o + i - 0*i. What is the remainder when p is divided by o?
2
Let l = -20932 + 21282. Calculate the remainder when l is divided by 70.
0
Calculate the remainder when 610 is divided by -266*18/(-126)*(3 + 1).
2
Suppose z + x - 293 = 0, -z - 33*x + 295 = -34*x. Calculate the remainder when z is d