by k.
11
Suppose 3*a = 40 - 13. Let q = 226 + -147. What is the remainder when q is divided by a?
7
What is the remainder when 117 is divided by (520/(-15) + -4)/(12/(-18))?
1
Let s(i) be the first derivative of -i**3/3 - 5*i**2 - 12*i - 5. Suppose 3*d + d = -32. Calculate the remainder when 5 is divided by s(d).
1
Suppose -3*n = -5*y + 42, -4*y + 35 = 7*n - 8*n. What is the remainder when 341 is divided by y?
8
Suppose 0 = 3*g - g - 2*j - 48, -16 = -g + 3*j. Let m(l) = 1 + 6*l - 3*l - 2 + 8*l. Calculate the remainder when g is divided by m(1).
8
Suppose 50 = 3*u - z, -8 = -z - 10. Let v be (38/6)/((-2)/(-6)). Let c = v + -10. Calculate the remainder when u is divided by c.
7
Let f(p) = -p - 4. Let m be f(-6). What is the remainder when 40 is divided by m/6 - (-264)/18?
10
Let m be 0 - 0 - 1*-39. Let f = m + -39. Suppose f = -j - g + 34, 2*g - 5*g = 5*j - 164. Calculate the remainder when 120 is divided by j.
27
Suppose 0*c = -2*c + 58. Let d = 4262 - 4250. What is the remainder when c is divided by d?
5
Let j(m) = -m + 57. Let k = -5 + 55. What is the remainder when k is divided by j(31)?
24
Let r(v) = 3*v + 13. Let c be r(-2). Suppose -4*y + 21 + c = 0. What is the remainder when y is divided by 3?
1
Suppose 0 = 3*r - 5*r - 3*n + 52, 3*r - 3*n - 48 = 0. Suppose 2*g - 88 = -10. Let v = g - r. What is the remainder when 37 is divided by v?
18
Let q = 1253 - 671. Calculate the remainder when q is divided by 42.
36
What is the remainder when 7 - (-9)/(72/(-32)) is divided by 1?
0
Let t be ((-187)/22)/(1/(-10)). Let j = -55 + t. What is the remainder when 88 is divided by j?
28
Let x = 546 + -529. Calculate the remainder when 241 is divided by x.
3
Suppose -7*d + 43 = -6. Let j(p) = -p**2 + 13*p - 14. Calculate the remainder when j(d) is divided by 11.
6
Let m = -11 - -7. Suppose -4*n = -28 - 20. What is the remainder when 5/((-10)/m) - -45 is divided by n?
11
Suppose -5*j = -4*p - 5381, -2156 = -4*j + 2*j - 2*p. What is the remainder when j is divided by 77?
76
Let x = -47 + 62. Suppose -x*m = -4*m - 968. What is the remainder when m is divided by 23?
19
Suppose 0 = 5*r + 251 - 746. Let g be 294/15 + 6/15. What is the remainder when r is divided by 4/g - (-248)/10?
24
Let n = 9 + -4. Suppose -r + 20 = 2*o, 2*o + n*r - 2 = 2. What is the remainder when 35 is divided by o?
11
Suppose 3*o - 4*y - y = 48, 16 = o - 5*y. What is the remainder when 82 is divided by o?
2
Let h = 927 - 898. What is the remainder when 115 is divided by h?
28
Let i(m) = m**2 - 22*m + 15. What is the remainder when 29 is divided by i(22)?
14
Suppose 2*h + 3*h = 30. What is the remainder when 987/35 - 3/15 is divided by h?
4
Suppose 3*r + 102 = 6*r. What is the remainder when r is divided by (1 - 0)*(-9)/6*-6?
7
Let l = -11 - -15. Let u(q) be the third derivative of -q**5/30 - 5*q**4/6 - 7*q**3/6 - 9*q**2. What is the remainder when u(-9) is divided by l?
3
Suppose 41*t - 31*t = 40. What is the remainder when t is divided by ((-2)/(-2))/(1/2)?
0
Let s be ((-7)/(-4))/(7*5/280). Suppose s*q - 9*q - 93 = m, 2*q - 30 = -2*m. What is the remainder when 33 is divided by q?
15
Let h(t) = t**3 - 8*t**2 + t - 65. What is the remainder when h(9) is divided by 7?
4
Let h = -3 + 10. Let p(b) = -b**2 + 8*b - 1. Let f be p(7). Let s(q) = q - 2. What is the remainder when h is divided by s(f)?
3
Let p = -76 + 86. Suppose -2*z - 5*w = -5*z + 39, -17 = -4*z - 5*w. Let r(u) = -u**2 + 13*u - 12. Calculate the remainder when r(z) is divided by p.
8
Suppose 4*c - 1488 = -4*c. Calculate the remainder when c is divided by 48.
42
Let c(d) = 8*d**2 + 2*d - 3. Suppose x - 5*l + 13 = -0, 0 = -x + 3*l - 9. Suppose 6*z - 52 = 2*z. What is the remainder when c(x) is divided by z?
11
Suppose d - 552 = -2*d + 3*o, 5*o + 365 = 2*d. Calculate the remainder when d is divided by 48.
41
Let m = 2 - -2. Calculate the remainder when (73 - 68)*(-1 + 2 + 0) is divided by m.
1
Let z(v) = -v**3 - 2. Let y be z(-2). Calculate the remainder when 173 is divided by -4*y*(-17)/((-357)/(-14)).
13
Suppose 3*i = -12, y + 2*i = 4*y - 248. Suppose -s - 22 = -0*u - u, -5*u + y = 5*s. Calculate the remainder when 1/(-4) - 297/(-4) is divided by u.
17
Suppose -1601 + 1235 = -6*t. Calculate the remainder when 132 is divided by t.
10
Let h(x) be the third derivative of x**4/4 - 2*x**3/3 + 2*x**2. Let l be h(3). Suppose -l = -5*j + 1. What is the remainder when 3 is divided by j?
0
Let o(n) = n**2 - n - 1. Let b be o(-1). Let x = 14203 + -14176. Calculate the remainder when x is divided by (b*-2)/((-2)/7).
6
Let h(f) = -38*f + 41. What is the remainder when h(-2) is divided by 20?
17
Let o(y) = -y. Let a = -23 + 19. Let n be o(a). Suppose -10*b = -n*b - 336. Calculate the remainder when b is divided by 19.
18
Let z(t) be the third derivative of -t**6/120 - t**5/60 - t**4/12 - 28*t**2. What is the remainder when 9 is divided by z(-2)?
1
Let q be (-130 + -3)/((-3)/3). Let o = q - 18. What is the remainder when o is divided by 29?
28
Let p(r) = r**2 + 5*r + 6. Let m(s) = -s**3 - 11*s**2 - 11*s - 14. Let q be m(-10). What is the remainder when p(q) is divided by (-2)/(-2)*(-6)/(-3)?
0
Suppose 16*z + 3*x = 13*z + 66, 4*x + 120 = 4*z. Calculate the remainder when 360 is divided by z.
22
Let l be (-4 - 3/(-1)) + 22. Let m = l + -13. Calculate the remainder when m is divided by 1/((-1)/(-6)*2).
2
Suppose -21*s + 618 = -474. Calculate the remainder when s is divided by 9.
7
Let j(o) = o**3 + 16*o**2 - 18*o - 13. Let l be j(-17). Let q(g) = 0 + 3 - 2*g**2 - l + 2*g + 29*g**3. Calculate the remainder when q(1) is divided by 8.
4
Suppose -3*n = -8*z + 6*z + 234, 472 = 4*z - 5*n. What is the remainder when z is divided by 25?
23
Suppose 0 = -9*b + 12*b - 18. Let f(n) = -n**3 + 5*n**2 - 4*n + 4. Calculate the remainder when 3/1 + (17 - b) is divided by f(4).
2
Let j(s) be the second derivative of s**5/10 - s**4/6 - s**3/2 + 3*s**2 - s. Calculate the remainder when j(3) is divided by 1 - (-8 - (-2 - -5)).
9
What is the remainder when 17/(8/(48/3)) is divided by 4?
2
Let k(n) = -n**3 + 6*n**2 - 2*n + 4. Let h be k(6). Suppose -5 = 4*z - 3*d + 101, -2*z - 5*d = 66. What is the remainder when (399/z)/(3/h) is divided by 13?
12
Let q = -9 - -24. Let f be (21/12)/(2/8). Let y(x) = 5*x + 8. What is the remainder when y(f) is divided by q?
13
Let l = 491 - 326. Calculate the remainder when l is divided by (-17)/(85/350)*3/(-5).
39
Let l = 718 - 224. What is the remainder when l is divided by 11?
10
Suppose -4*m = -32 - 144. Calculate the remainder when 136 is divided by m.
4
Let s(v) = -2*v**3 + 4*v + 22. Calculate the remainder when 248 is divided by s(-3).
56
Let t(i) = -44*i + 85. Calculate the remainder when t(-10) is divided by 31.
29
Suppose -5*d - 6 - 14 = 0, p = 5*d - 58. Let g be ((-4)/6)/(2/p). Suppose 0 = -l + g + 37. What is the remainder when l is divided by 32?
31
Let s = 10 + -7. Suppose 2*t = -0*t + m + 17, 4*t - 35 = s*m. Calculate the remainder when -1 - (3 + -6 - 20) is divided by t.
6
Let p be 0/(-3 - -7) - -195. Suppose -4*u = -0*n - 4*n - 160, -5*u + 4*n = -p. What is the remainder when u is divided by 12?
11
Suppose -3*z = 3*o - 4*o - 13, -z - 3*o + 21 = 0. Let w(b) = 6*b**3. Let t be w(2). Let d = -27 + t. Calculate the remainder when d is divided by z.
3
Let s = 61 - 38. Let t = 45 - s. Calculate the remainder when t is divided by 8.
6
Let p = -23 + 57. Let x be (16/(-32))/((-2)/16). What is the remainder when p is divided by (x/6)/((-4)/(-78))?
8
Let f(h) = 7*h**2 + 3*h - 2. Let k be f(-3). Suppose 0 = -y + k - 2. Calculate the remainder when (-8)/24 - y/(-6) is divided by 6.
2
Let z = -8 - -8. Suppose -5*c + 5*j + 100 = z, -20 = -3*c - j - 4*j. Calculate the remainder when 27 is divided by c.
12
Let m be -2*(-3)/(-2)*-1. Let d(s) = s + 2. Let k be d(10). Suppose -m*u = 2*t - 5, -5*t + 5*u + k + 13 = 0. What is the remainder when 7 is divided by t?
3
Suppose n - 1 - 2 = 0. Suppose n = -3*w + g + 4*g, -g + 3 = 0. Calculate the remainder when 8 is divided by w.
0
Let d = -53 + 84. Suppose 2*l = -19 - 17. What is the remainder when d is divided by (-1 - l) + 0/(-3)?
14
Suppose 3*y - 3*i - i = -2, -5*y + 40 = 2*i. Let d be ((-8)/y)/((-2)/6). Suppose -d*w - 15 = -7*w. What is the remainder when 11 is divided by w?
1
Let w be (10