4))/(11/308) is divided by 12?
11
Suppose 72*p - u = 74*p - 13, -p + u - 4 = 0. Suppose 5*k = -2*n - 11, 2*k = 2*n + 2*n - 38. Calculate the remainder when n is divided by p.
1
Let a = -16 + 21. Suppose a*j + 3*f = 184, j - 7 = -5*f + 21. Calculate the remainder when j is divided by 8.
6
Suppose -2*v = 4*y - 92, 6*y = 4*y + 2*v + 40. Calculate the remainder when 76 is divided by y.
10
Let a(x) = -x**2 - 28*x + 54. Calculate the remainder when 76 is divided by a(-29).
1
Let d(k) = -3*k**2 - 35*k - 26. Calculate the remainder when 334 is divided by d(-10).
22
Let q = -115 - -154. What is the remainder when 583 is divided by q?
37
Let i(g) be the third derivative of -g**5/60 - g**4/2 + 2*g**3/3 + 2*g**2. Let q be 408/(-42) + (-4)/14. What is the remainder when i(q) is divided by 9?
6
Let l(a) be the first derivative of a**3/3 - 6*a**2 - 31*a + 24. Calculate the remainder when l(17) is divided by 8.
6
Let g(x) = -x**2 + 3*x. Let n be g(-6). What is the remainder when 17 is divided by ((-16)/12)/(12/n)?
5
Let z(a) = 2*a**2 + 17*a - 4. Let l(q) = q**2 + 9*q - 2. Let d(f) = -7*l(f) + 4*z(f). Calculate the remainder when 9 is divided by d(-6).
1
Let k(s) be the second derivative of 7*s**4/12 + s**3/3 - s**2/2 - 2*s. What is the remainder when k(4) is divided by 1*7*(-13)/(455/(-150))?
29
Let y(a) = -92*a - 11. Calculate the remainder when y(-1) is divided by 21.
18
Suppose -30*s + 19*s = -110. What is the remainder when 194 is divided by s?
4
Let h(v) = 6*v - 27. Suppose 6*q + 4*p - 40 = 2*q, 3*p - 23 = -2*q. Calculate the remainder when 57 is divided by h(q).
12
Suppose 0 = 40*u - 43*u + 66. What is the remainder when (9/(-3) + 85)/2 is divided by u?
19
Suppose 2*v = 9*v + 7. What is the remainder when 97 - v - -6*4/8 is divided by 17?
16
Let w be 3/(1*3/(-46)). Let q = w + 83. Suppose -3*x + 5*t + 42 = 0, t = x + 2*x - 54. What is the remainder when q is divided by x?
18
Suppose 0 = -5*r - 3*u + 1785, 3*u - 404 + 2189 = 5*r. What is the remainder when r is divided by 71?
2
Let i(y) = -y**3 - 2*y**2 - 4*y - 3. Suppose -2*t = 3*m - 568, 7*m - 2*t = 6*m + 192. Calculate the remainder when (3/(-6))/((-5)/m) is divided by i(-2).
4
Suppose 3*u - 2 = 4. Let z = -5 + 10. Suppose u*w = z*w - 45. Calculate the remainder when 57 is divided by w.
12
Let f(m) = m**2 - 31*m + 254. Calculate the remainder when 237 is divided by f(18).
17
Let k(f) be the second derivative of -f**3/6 - 35*f**2/2 + f. Let w be k(0). Let z = -25 - w. Calculate the remainder when z is divided by 4.
2
Let v = 446 + -425. Let y(z) = -z**3 - 7*z**2 - 10*z - 10. What is the remainder when y(-7) is divided by v?
18
Let y = -211 + 334. Calculate the remainder when y is divided by 62.
61
Let m be (-20)/3*-3 - -1. Suppose 0 = 3*r - m - 33. Calculate the remainder when r is divided by 5.
3
Let c(v) = -v. Let a be c(-5). Suppose 0 = a*j + 5*h - 50, 3*j = 5*h + 26 + 20. Let y = 1413 + -1368. What is the remainder when y is divided by j?
9
Let z(q) = q + 31. What is the remainder when z(-3) is divided by 6?
4
Calculate the remainder when 2 + -2*(-91 + 1/(-1)) is divided by 64.
58
Suppose 0 = -5*f + 31 + 159. Let t(v) be the first derivative of 2*v**3/3 + 17*v**2/2 - 17*v + 21. What is the remainder when f is divided by t(-10)?
12
Suppose q - 6*q = o - 318, 0 = 3*o - 9. Suppose q = 2*h - h + a, -3*h + 5*a = -213. What is the remainder when h is divided by 23?
20
Suppose 4*n = i - 229, -4*i = 5*n - 1040 + 208. Calculate the remainder when i is divided by 73.
67
Let a(f) = -2*f + 31. Let k be a(11). Suppose k*c - 14*c + 200 = 0. What is the remainder when c is divided by 6?
4
Let t(c) = -c**3 + 11*c**2 - 8*c - 16. What is the remainder when 589 is divided by t(9)?
71
Suppose 74*q - 78*q = -40. Let z = 15 - q. Suppose u - 96 = -2*u. What is the remainder when u is divided by z?
2
Let w(y) = y**2 + 27. Suppose 548*t = 511*t + 4958. What is the remainder when t is divided by w(0)?
26
Let l(r) = 20*r**3 + 5*r**2 + 6*r - 2. What is the remainder when l(1) is divided by 14?
1
Let v be (-24)/(-40) + 174/10. Let r be v/30*(4 + 1). Suppose -2*d + 23 = -r*o, 2*d + 0*d - 4*o - 24 = 0. Calculate the remainder when 39 is divided by d.
9
Let a(n) = 5*n**2 - n - 70. What is the remainder when a(8) is divided by 63?
53
Suppose 0 = 3*l - 46 + 7. Calculate the remainder when 15 is divided by l.
2
Let a = 63 - 44. Let z = -24 - -56. Calculate the remainder when z is divided by a.
13
Let d = 3 + 23. Let o(m) = -2*m**2 + 32*m. Calculate the remainder when o(8) is divided by d.
24
Suppose q - 34 = 21*x - 19*x, 0 = 4*q + 2*x - 186. Calculate the remainder when 297 is divided by q.
33
Suppose -4 + 7 = f. Let v(a) = -a**3 + 5*a**2 - 2*a - 3. Let x be v(f). Let g = x - -8. What is the remainder when 48 is divided by g?
14
Calculate the remainder when 41 is divided by 24/108 + (-2)/9 - -24.
17
Let v(u) = 3*u**2 + u + 2. Let j = -63 - -67. Suppose j*m = m + 36. What is the remainder when v(-4) is divided by m?
10
Suppose 3*p - 12 = 0, -6*p + 3*p = -u + 43. What is the remainder when 218 is divided by u?
53
Suppose -65 = -j - x, -4*x = -4*j - x + 295. What is the remainder when j is divided by 12?
10
Suppose 260 = 7*z - 3*z. Suppose y = -5*s - 10, 4*y + 3*s - 4*s = z. Suppose -3*o = 2*o - y. Calculate the remainder when 4 is divided by o.
1
Let l = 38 - 22. Suppose 0 = -5*v + l + 4. Suppose 141 + v = 5*i. Calculate the remainder when i is divided by 8.
5
Let l(j) = -j**3 + 22*j**2 - 15*j + 89. What is the remainder when l(17) is divided by 61?
59
What is the remainder when 113 is divided by (33/(-4) + 1)*356/(-89)?
26
Let r(u) = 5. Let o(t) = -t + 10. Let y(j) = -6*o(j) + 14*r(j). Calculate the remainder when y(12) is divided by 17.
14
Let q = 37 - 14. Suppose 25 = 6*o - 11. What is the remainder when q is divided by o?
5
Let z(r) = r - 4. Let g be z(6). Let k be (2 + (-2 - g))*1. What is the remainder when 43 is divided by (-99)/(-18)*(-4)/k?
10
Let d be 1/((-135)/69 + 2). Suppose -2 = x - 2*x, -d = -3*k + 5*x. Let s = -6 + 58. Calculate the remainder when s is divided by k.
8
Suppose 15*r = 208 + 497. Suppose -43 + 7 = -2*c. Calculate the remainder when r is divided by c.
11
Let p = -6 + 9. Suppose -z + 755 = -0*s + p*s, -5*s + 1230 = -4*z. Suppose v + f + 3*f = 35, -5*v = 5*f - s. Calculate the remainder when v is divided by 14.
13
Let f(n) = -10*n - 113. Calculate the remainder when f(-19) is divided by 13.
12
Suppose -3*s + 416 = 2*w, 2*s = -w + 209 + 69. What is the remainder when 273 is divided by s?
133
Suppose 16*p - 4*g - 83 = 15*p, 2*g = -3*p + 235. Suppose -4*v + 11 + 73 = 0. Calculate the remainder when p is divided by v.
16
Let y be (-2)/((3/((-477)/(-6)))/(-1)). Let s = y - 36. What is the remainder when s is divided by 7?
3
Let u(i) = 2*i - 6. Let r be u(5). Suppose -a - r*o = -9, -5*a + 28 = o - 17. Let l = 6 - -10. What is the remainder when l is divided by a?
7
Let n = -67 + 85. What is the remainder when 664/20 + 1/(-5) is divided by n?
15
Suppose 0 = 2*h + 3 - 13. Suppose 0*c + 2*c = -5*i + 182, -20 = h*c. What is the remainder when 73 is divided by i?
35
Let u be (-1)/(-2) + 27/6. Let j be (2 + 69/(-15))/((-13)/65). Suppose l - j = i, 0*l + 55 = 4*l - u*i. Calculate the remainder when 29 is divided by l.
9
Suppose -3*p = -2*p. Suppose -224 = -5*w + 3*a, 4*w - 4*a - 184 = -p*a. Calculate the remainder when w is divided by ((-55)/20)/((-2)/8).
10
Let o = 427 + -424. Calculate the remainder when 63 is divided by o.
0
What is the remainder when 394 is divided by ((-2)/6 + 64/(-96))*-33?
31
Let j = 275 - 204. Calculate the remainder when 472 is divided by j.
46
Suppose -66 = -6*g + 3*g. Let c = g + -9. What is the remainder when 63 is divided by c?
11
Suppose -3*b + 12 - 126 = 0. Let h = 23 + b. Calculate the remainder when 83 is divided by 26/1 + 17 + h.
27
Let u(z) = 2*z - 12. Let h be u(8). Suppose 0 = -2*x + h. Let n(g) = g**3 + 9*g**2 - 10*g + 2. What is the remainder when x is divided by n(-10)?
0
Suppose -68*f + 0*f = -14008. What is the remainder when f is divided by 46?
22
Let u be -6 - -2 - (1 + 1). Let b(r) = -r**3 - 7*r**2 - 11*r - 12. Suppose -2*i = -2*g + 18, 2*i = -i - 12. Calculate the remainder when b(u) is divided by g.
3
Suppose -1080 = -16*i + 11*i. What is the remainder when i is divide