719 = -9*o. Calculate the remainder when o is divided by 15.
7
Let g(c) = -26*c + 282. What is the remainder when 82 is divided by g(8)?
8
Suppose 150 = 4*v + 2*v. What is the remainder when 60 is divided by v?
10
Suppose -111 = -2*y + 3*l + 147, 5*y + 3*l = 645. Let p = 282 - y. What is the remainder when p is divided by 31?
29
Suppose 3*x - 18 = 5*p + 19, -2*p - 26 = -4*x. Let w(l) = 2 - 2 - 3 + 2 - l**3 + 3*l + x*l**2. Calculate the remainder when 19 is divided by w(4).
8
Calculate the remainder when -57*(-4 + -2 + -2 + 5) is divided by 51.
18
Let l(t) = -t**2 - 32*t - 198. Calculate the remainder when 35 is divided by l(-23).
8
Let q(t) = -t**2 - 7*t + 22. Let l be q(-9). Suppose l*d = 3*p + 114, 3*p + 2*p = 3*d - 91. What is the remainder when d is divided by 16?
11
Let s = -399 + 449. Calculate the remainder when s is divided by 26.
24
Let z = 3 - -2. Suppose -2*f - 2*b = 52, -5*f = b + b + 118. Let j = 25 + f. Calculate the remainder when z is divided by j.
2
Suppose 5*z = z + 92. Let q = 139 + -131. What is the remainder when z is divided by q?
7
Let b(k) = -3*k**2 + 6*k + 4. Let v be b(4). Let z = 20 + v. Suppose 2*l = 38 - z. Calculate the remainder when l is divided by 4.
3
Suppose 5*r + 172 - 1362 = 0. What is the remainder when r is divided by 8?
6
Suppose -4*k + 15 = -41. Let y(j) = -5*j - 31. Let n be y(-8). Suppose 0 = 2*s - n*s + 182. What is the remainder when s is divided by k?
12
Suppose 3*g = 3, 5*g + 0 + 196 = 3*t. Suppose -z + 6 + t = 0. What is the remainder when z is divided by 25?
23
Let p(t) = t**3 + 10*t**2 + 18*t + 70. Calculate the remainder when 160 is divided by p(-8).
52
Calculate the remainder when 170 is divided by (57/76)/((-2)/(-8)).
2
Suppose 10 = -5*m - 5. Let g be 2 - (m + (3 - 4)). Calculate the remainder when (20/g)/((-4)/(-36)) is divided by 16.
14
Let d = 534 + -523. What is the remainder when 537 is divided by d?
9
Suppose 0 = -10*w + 8*w + 2. Calculate the remainder when 2 is divided by w*(-6 - -4 - -1*3).
0
Let p = 9 - 8. Suppose 4*o + p = 5. Calculate the remainder when 5*4/70*7 is divided by o.
0
Let n = 15 + -6. Let t(h) = h**3 - 5*h**2 - h + 7. Let l be t(5). Suppose 3*f + 15 = 0, -5*k + 3*f = l*f - 80. What is the remainder when k is divided by n?
6
Let t(s) be the third derivative of s**5/30 + s**4/12 + 7*s**3/6 + 15*s**2. What is the remainder when t(-6) is divided by 14?
11
Suppose -k = -4*v + k + 14, 8 = v - 5*k. Let c(d) = -d**3 - 10*d**2 - 11*d - 10. Calculate the remainder when c(-9) is divided by 5 - 0 - 0 - v.
0
Suppose -m + 5*a + 8 + 18 = 0, 5*a = 4*m - 29. Let h = m + 3. Suppose j - 95 = -h*j. Calculate the remainder when 92 is divided by j.
16
Let c(g) = 5*g - 158. What is the remainder when 127 is divided by c(32)?
1
Let p be (12/(-14))/((-3)/14). Suppose -6 = -p*a + 14. Let m = a - 0. What is the remainder when m is divided by 3?
2
Calculate the remainder when 1357 is divided by -4*129/(-12) - (11 + -8).
37
Let y(s) = -216*s + 3053. Let b(u) = 2*u**3 + u**2 + 2*u. Let q be b(-4). Let j = 175 + q. What is the remainder when j is divided by y(14)?
26
Let s = 69 + -41. Suppose 9*r - 522 = 216. What is the remainder when r is divided by s?
26
What is the remainder when 31 is divided by (-10)/(-4)*16/20?
1
Suppose -2*p - 2*p - 8 = -2*o, o = 4*p + 4. Suppose 0 = 2*u + o*v - 14, 5*u + 3*v = 26 + 16. What is the remainder when 42 is divided by u?
6
Suppose -2*s + 33 + 0 = 5*f, -3*s = 4*f - 32. Let b be (37 + -32)/(5/6). Suppose s*g = b*g - 26. Calculate the remainder when g is divided by 7.
6
Let d(u) be the third derivative of u**5/60 - u**4/8 + u**3/2 + 44*u**2. What is the remainder when d(6) is divided by 14?
7
Let t = 79 - 29. Suppose -2*g + 43 + 19 = 0. Let a = t - g. Calculate the remainder when a is divided by 7.
5
Suppose 7*q - 28 = 322. Let d = q + -30. Calculate the remainder when 57 is divided by d.
17
Let n(p) = 3*p + 28. Suppose 3*z = -2*z + 20. Suppose 2*c = -2*c + z, 0 = -5*j - 2*c + 27. What is the remainder when n(-5) is divided by j?
3
Let j(p) = p**3 + 7*p**2 - 9*p - 7. Let g be j(-8). Let n(r) = 0*r - g - 1 - 2*r. What is the remainder when 46 is divided by n(-7)?
10
Suppose -4*d + 59 = 51. Calculate the remainder when 93 is divided by (d + (-4)/5)*(8 - 3).
3
Let a = -253 + 280. Calculate the remainder when 53 is divided by a.
26
What is the remainder when 474 + -2*(-2)/(-12)*6 is divided by 96?
88
Let z(k) = -k**3 + 2*k**2 + 3*k - 3. Let b be z(3). Suppose 4*w = -5*m + 49 - 7, 4*w + 8 = 0. What is the remainder when m is divided by 1*(b - -1) - -6?
2
Suppose -2*l = 33*x - 37*x + 106, -5*x - 5*l = -170. What is the remainder when x is divided by 13?
3
Suppose -3 - 107 = -5*s. Let p = 360 - 275. What is the remainder when p is divided by s?
19
Suppose -4*k + 4161 = 3*z, k + 4*z = 4*k - 3152. What is the remainder when 1/((-18)/k*(-1 - 0)) is divided by 15?
13
Let t(r) = -10*r + 68. What is the remainder when t(-7) is divided by 47?
44
Suppose 2*n - 33 - 5 = 0. Suppose 4*z - 155 = 373. Let t = 186 - z. What is the remainder when t is divided by n?
16
Let j(i) = 10*i. Let d(c) = 21*c + 1. Let n(g) = -6*d(g) + 13*j(g). Calculate the remainder when (-3)/(2 - 1) + (0 - -22) is divided by n(4).
9
Let x = -63 - -92. What is the remainder when 49 is divided by x?
20
Let w(n) = -n**3 + n**2 + 15*n + 6. What is the remainder when 36 is divided by w(-4)?
10
Let y be (28/(-21))/(6/27). Let r(d) = d**3 + 6*d**2 - 4*d - 3. What is the remainder when r(y) is divided by 12?
9
Let n(t) = 4*t**3 - 5*t**2 + 4*t + 1. Let a be n(2). Suppose 0 = -3*f - a + 303. Calculate the remainder when f is divided by 32.
30
Suppose 5*k - 2*k + 3*x = 147, 49 = k + 5*x. Let c = 112 - k. Calculate the remainder when c is divided by 13.
11
Suppose -3*n - 2*n = -4*x + 4, -5*n = 5*x - 50. Suppose 0 = -5*u - 15, 4*g - 2*u = 16 + 2. What is the remainder when x is divided by g?
0
Let u(y) = y**2 + 5*y + 9. Let l be u(-2). Suppose -4*o - 2*n + 124 = 0, 3*o - l*n - 53 = 58. What is the remainder when 130 is divided by o?
31
Suppose 0 = 28*c - 30*c + 300. What is the remainder when c is divided by 26?
20
Suppose -10 + 22 = 4*x. Suppose -z = -1, 45 = 2*f + x*z - 22. Calculate the remainder when f is divided by 10.
2
Let y = 2897 + -2692. Calculate the remainder when y is divided by 11.
7
Let o be (-2)/4*-6 + 0. Let a = o - -9. Calculate the remainder when (3 + 105/(-30))/(2/(-184)) is divided by a.
10
Let b = 0 - -15. Suppose 3*y = 2*y + b. Let v = 123 - 80. What is the remainder when v is divided by y?
13
Let k = 17 - 27. Let f(z) = z**2 + 11*z + 14. Let q be f(k). What is the remainder when 44 is divided by q/(-34) - (-257)/17?
14
Let d(n) = -5*n - 1. Let s(u) = -4*u - 2. Let z(k) = -2*d(k) + 3*s(k). Let a be z(-5). Calculate the remainder when 41 is divided by (16 - 2)*a/4.
20
Let b(k) = -k**2 + 6*k + 19. Calculate the remainder when 20 is divided by b(7).
8
Let j(c) = c + 15. Calculate the remainder when 203 is divided by j(26).
39
Let b = 240 + -208. Calculate the remainder when 86 is divided by b.
22
Let z(l) = 57*l + 2. Let a(t) = -t**2 - 6*t - 3. Let h be a(-5). Suppose x - h*g = 20, -6*x + 100 = -3*x + 2*g. What is the remainder when z(1) is divided by x?
29
Suppose 272*c = 290*c - 7668. What is the remainder when c is divided by 61?
60
Let u(n) = n**3 + 17*n**2 + 41*n - 32. Calculate the remainder when 435 is divided by u(-13).
102
Let o(z) be the first derivative of -z**4/4 + 8*z**3/3 + 7*z**2/2 - 5*z + 5. Calculate the remainder when o(8) is divided by 18.
15
Let u = 3 - -1. Suppose 2*c - u*p + 5 = 25, 0 = p + 2. Let q(v) = -9*v + 154. What is the remainder when q(14) is divided by c?
4
Let u(i) be the second derivative of 0 - 11/12*i**4 - 3/2*i**3 - 11/2*i**2 + 1/20*i**5 + 7*i. Calculate the remainder when u(12) is divided by 14.
11
Let c(m) = 148*m + 25. What is the remainder when c(1) is divided by 14?
5
Let b = -4497 - -4552. Let y = 17 + 12. What is the remainder when b is divided by y?
26
Calculate the remainder when 3/(-9)*205*(9 - 12) is divided by 9.
7
Suppose -4*a - 2*q = -116, a - 14*q + 19*q - 29 = 0. What is the remainder when a is divided by 12?
5
Let j(o) = 3*o + 101. Let m be j(-32). Let i = 1 + 2. Suppose m*u - 4*x + 9 - 36 = 0, i*u - 3 = -2*x. What is the remainder when 7 is di