the remainder when 43 + (-3 - 13 - -25) is divided by k.
7
Let g(k) = -k**3 + 8*k**2 - k + 11. Let l(f) = f + 4. Let t be l(4). Let m be g(t). Suppose 0 = 2*n - 3 - m. What is the remainder when 10 is divided by n?
1
Let p(s) = -s**2 + 25*s - 110. What is the remainder when 386 is divided by p(8)?
22
Let z(b) = -42*b - 686. Suppose 0*x = 5*x - 200. Calculate the remainder when z(-19) is divided by x.
32
Let n(a) = -2*a**2 - 85*a - 56. What is the remainder when n(-41) is divided by 5?
2
What is the remainder when (-3)/(-15) + (-2142)/(-15) is divided by 1 - 0 - (5 - 16)?
11
Suppose -j - 32*p + 30*p + 4 = 0, 2*j + 3*p = 7. Calculate the remainder when j is divided by 4/10 - (-3)/5.
0
Suppose 3*r = 98 - 26. Suppose 4*y - 218 = 2*y + 5*z, -4*y - 3*z + 488 = 0. Calculate the remainder when y is divided by r.
23
Let b(s) be the first derivative of -17*s**2/2 - 4*s - 3. Calculate the remainder when b(-4) is divided by 33.
31
Calculate the remainder when (24 - -9) + 1 + -3 is divided by 18.
13
Suppose 5*l = -268 + 103. Let j = l - -54. Calculate the remainder when (-9 - 0)/((-73)/657) is divided by j.
18
Suppose 3*k + 225 = 8*k. Calculate the remainder when -1 - (-7)/5 - (-522)/k is divided by 3/(9/4)*6.
4
Let d(t) = t**3 - 5*t**2 + 4. Let u(m) = -2*m**3 - 3*m**2 + 4*m + 3. What is the remainder when u(-3) is divided by d(5)?
2
Suppose w + 20 = 5*s + 1, w = -3*s + 5. Calculate the remainder when 65 is divided by s.
2
Let u = -537 + 299. Let r = -135 - u. What is the remainder when r is divided by 21?
19
Let l be (2/(-4))/((-2)/160). Let p = 8 + l. What is the remainder when p is divided by 13?
9
Suppose b = 2*b, -2*o = b - 78. Suppose o = -2*q + 99. Calculate the remainder when q is divided by 11.
8
Let j be 10*52/(-32)*4. Let m = -8 - j. Calculate the remainder when m + (-1 - (-1 - 2)) is divided by 21.
17
Calculate the remainder when (317 - -1)*26/78 is divided by 42.
22
Let m = 10 - 10. Let n be 3/(-3) + 0 + m. Calculate the remainder when n + 3 + -1 + 15 is divided by 6.
4
Suppose -p - p + 3 = -3*j, 2*j + 6 = 2*p. Suppose -h - 1 + p = 0. Let y = -14 - -17. What is the remainder when h is divided by y?
2
Let r(v) = -8*v - 13. Let u = 228 - 122. Calculate the remainder when u is divided by r(-5).
25
Let l = -1170 - -1666. Calculate the remainder when l is divided by 23.
13
Let j(x) = -251*x + 27. What is the remainder when j(-2) is divided by 41?
37
Let h(i) = -i + 10. Suppose -4*m + 5*k + 264 = 68, 3*k = 3*m - 147. Calculate the remainder when m is divided by h(0).
9
Let k be -1 - 20/(-2 + -3). Suppose -k*q + 126 = -90. Calculate the remainder when q is divided by 37.
35
Suppose -2*p - 231 = -3*g - 7*p, -2*g + 4*p = -176. Calculate the remainder when 326 is divided by g.
80
Suppose 2*z = -f + 301, 3*z - 597 = -z - f. Calculate the remainder when 434 is divided by z.
138
Let j = -1625 + 1702. Calculate the remainder when 187 is divided by j.
33
Suppose -708 = -24*p - 108. Let x(o) = -o**2 + 5*o + 1. Let b be x(4). What is the remainder when p is divided by (-9)/6*(-1 - b)?
7
Suppose 7*p = 1238 + 10480. Suppose -31*a = -13*a - p. What is the remainder when a is divided by 24?
21
Let p be 1 - (-4 - (3 + -4)). Suppose -a - 1 = -p. What is the remainder when a is divided by 3?
0
Calculate the remainder when 7 - (3 + 879/(-3)) is divided by 51.
42
Let k be 123/(-15) + (-2)/(-10). Let o be 4/k - 23/(-2). Suppose -3*g = -o - 31. Calculate the remainder when 41 is divided by g.
13
Suppose -3*u + 136 = -107. Let w = -67 + u. What is the remainder when 55 is divided by w?
13
Let o(h) = -h**3 + 10*h**2 - 8*h - 27. Let a be o(9). Let d = -29 + -34. What is the remainder when (-14)/d + (-446)/a is divided by 13?
12
Let r(p) = 11*p + 44. Calculate the remainder when r(4) is divided by 43.
2
Let m = 14 - 11. Suppose -2*i - m*i + 75 = 0. Calculate the remainder when i is divided by 8.
7
Calculate the remainder when -5 + (-5 - (-120 - 9)) is divided by 12.
11
Let j = 491 + -429. What is the remainder when j is divided by 14?
6
Suppose 0 = -c - 5 - 4. Let h = 59 - -26. What is the remainder when h is divided by (18/c)/(-1*1) - -20?
19
Suppose -118 = -5*v + 12*y - 8*y, -60 = -3*v - 3*y. Let b = 54 - 78. What is the remainder when v is divided by -1*b/(-14)*-7?
10
Let j = -140 + 209. What is the remainder when j is divided by 21?
6
Let a = -480 - -341. Let k = a + 258. Suppose -3*x + 60 = -x. Calculate the remainder when k is divided by x.
29
Let g(b) = -b**2 + 34*b - 32. What is the remainder when g(18) is divided by 10?
6
Suppose -3*m + 252 = 6466*q - 6462*q, -4*q = -m - 252. Let t(a) = 10*a**3 - a**2 + 1. Calculate the remainder when q is divided by t(1).
3
Let l = -157 + 324. Calculate the remainder when l is divided by 28.
27
Let g be 1 - (3 - (0 + 6)). Suppose g*d = -2*w - 2*w - 132, -2*d = 3*w + 68. Let r = -20 - d. What is the remainder when 19 is divided by r?
8
Let d be (-23)/(-6) - (77/42 + -2). Suppose d*f = 0, 101 = b - 2*f - f. Calculate the remainder when b is divided by 34.
33
Suppose -4*o - 3*t + 19 + 12 = 0, 3*o - 26 = -5*t. Let i(l) = l**2 - 3*l. What is the remainder when i(6) is divided by o?
4
Let u(z) = 28*z - 2. Let a(i) = 84*i - 5. Let c(b) = -2*a(b) + 7*u(b). Calculate the remainder when c(3) is divided by 21.
17
Let m = 12 + -9. Suppose -15 = -0*i + 3*i + 2*w, w - m = 0. Let a(z) = -4*z - 7. What is the remainder when a(i) is divided by 11?
10
Let s(p) = 4*p - 3. Suppose -4*k + 180 = k - 3*x, -72 = -2*k + 4*x. Calculate the remainder when k is divided by s(4).
10
Let k(y) = 4*y - 30. Let s(t) = 5*t - 30. Let a(j) = -3*k(j) + 2*s(j). What is the remainder when a(11) is divided by 5?
3
Let j(l) = -l**3 - 4*l**2 + 3. Let v be j(-4). Suppose 0 = v*o - 2*o - 25. Suppose 294 = -6*x + 9*x. What is the remainder when x is divided by o?
23
Let z(n) = -15*n - 93. Calculate the remainder when 66 is divided by z(-9).
24
Suppose -2*y + 665 = 3*y. Suppose -44*l + 618 + 681 = 111. What is the remainder when y is divided by l?
25
Let z(a) = a - 3. Let d be (-1 + -23)/(34/(-17)). Calculate the remainder when 35 is divided by z(d).
8
Let t(s) = s**2 + 1. Let f be t(-1). Let u = 12 - f. What is the remainder when u is divided by 6?
4
Let l(p) = 14*p + 167. What is the remainder when 46 is divided by l(-11)?
7
Let c(t) = -18*t - 8*t**2 + 9*t**2 - 2*t**2 + 0*t**2 - 36. What is the remainder when c(-13) is divided by 7?
1
Let v be 2069/13 + 38/(-247). Let y = v - 96. What is the remainder when y is divided by 17?
12
Let g(v) = 13*v**2 + 5*v + 7. Let c be g(-2). Let z = 62 - c. What is the remainder when 88 is divided by z?
10
Let c = 1035 + -1013. What is the remainder when 613 is divided by c?
19
Suppose 3*t + 2*t - 20 = 0. Suppose -2*c + 4 = -5*r + 19, 4*r - t*c - 12 = 0. What is the remainder when 5 is divided by r?
2
Let h(q) = -4*q**3 - 2*q**2 - 6*q - 5. Let s be h(-1). Suppose 170 = s*k + 7*k. Calculate the remainder when k is divided by 4.
1
Let q(d) = d + 1. Let x(u) = u**2 - 10*u - 9. Let v(m) = -3*q(m) - x(m). Let z be v(6). Suppose 2*y - z = 34. What is the remainder when y is divided by 12?
11
Suppose -1733 = -12*q - 797. Calculate the remainder when 165 is divided by q.
9
Suppose c + 55 = 6*c. Suppose c*a - 612 = 9*a. Let q = a + -218. What is the remainder when q is divided by 23?
19
What is the remainder when 604/18 + 120/270 is divided by 5?
4
Suppose -2*j + x = -11, -2*j + x - 6*x = -17. Suppose 0*q = -2*q - j, -80 = -5*t + 5*q. Calculate the remainder when 31 is divided by t.
5
What is the remainder when 262 is divided by (6/8)/((-20)/(-880))?
31
Suppose 29*s = -1076 + 5136. Calculate the remainder when s is divided by 30.
20
What is the remainder when -3*1/(-3) - -102 - -3 is divided by 36?
34
Suppose -5*n - 1 = -16. Suppose -j - 24 = -q, n*q + 43 = 5*q - j. Calculate the remainder when 55 is divided by q.
17
Let q be (1 + 0)/((-1)/(-5)). Let f(u) = 4*u - 9. Let r(w) = -14*w + 37. Let x(n) = 9*f(n) + 2*r(n). Calculate the remainder when x(q) is divided by 17.
16
Suppose -25 = -3*y - 5*r, -y - 2*r - 5 = -3*r. Suppose 0 = -y*u + 3*u - 825. Suppose -5*k + 0*k = -u. What is the remainder when k is divided by 14?
13
Suppose -3*r + 2*p = 7*p - 49, 0 = 5*r + p - 111. Suppose 2*x - v - r = 28, 3*v = 2*x - 45. What is the remainder when x is divide