 remainder when 20 is divided by (-2 + (-25)/(-10))*12?
2
Suppose 0*x + 16 = 4*p + 4*x, 3*p - 12 = x. Let o = 9 - p. Calculate the remainder when (15/(-6) + 3)*10 is divided by o.
0
Suppose -63 + 553 = 10*l. Calculate the remainder when 437 is divided by l.
45
Let s be 309/12 - 2/(-8). Calculate the remainder when s/13*4/1 is divided by 3.
2
Let r = 7 - -30. Suppose r = -3*j + 6*j + 2*u, 2*u = 5*j - 35. Calculate the remainder when 32 is divided by j.
5
Suppose 1748 + 166 = 33*y. Calculate the remainder when 226 is divided by y.
52
Let i = 148 + -133. Suppose 0 = -3*t - 3, -v + 10 = 3*t + t. Let b = v + 29. Calculate the remainder when b is divided by i.
13
Let k = 401 - 348. What is the remainder when 256 is divided by k?
44
Suppose 4*j = 138 - 6. Calculate the remainder when j is divided by 29.
4
Let s(m) = 112*m - 546. What is the remainder when 25 is divided by s(5)?
11
Suppose 311 = 6*n - 253. Calculate the remainder when 367 is divided by n.
85
Let i(r) = 4*r - 22. Let w(x) = -x**2 - x + 13. Let y be w(-3). What is the remainder when 9 is divided by i(y)?
3
Let v(a) = a**3 + a**2 - a. Let s(o) = 6*o**3 + o**2 - 5*o - 8. Let p(m) = -s(m) + 5*v(m). What is the remainder when 39 is divided by p(4)?
7
What is the remainder when (12 - -1)*(-1)/(-1) is divided by (230/138 + 14/(-12))/(1/8)?
1
Let b = 99 + 163. What is the remainder when b is divided by 66?
64
Let s(f) = f**3 - 6*f**2 - 2*f + 8. Let l be s(5). Suppose -2*u + 4 = 0, 2*u + 310 = 3*i + u. Let n = l + i. What is the remainder when n is divided by 26?
25
Suppose 11*s + 4 = 7*s. Calculate the remainder when 95 is divided by s/((-196)/96 + 2).
23
Suppose 0*f + 9 = 4*f + 3*h, 2*h = 3*f - 11. Suppose -u = -f*u + r + 55, u + 5*r = 44. Calculate the remainder when 230 is divided by u.
27
Suppose -165 + 51 = -2*v. Let i = v + -22. Suppose 0*x = 5*x - i. Calculate the remainder when 20 is divided by x.
6
Let q(y) = y**3 - 3*y**2 + 2*y - 4. Let z be q(3). Let f be (14 - z)*618/(-9). What is the remainder when (6/24)/((-2)/f) is divided by 35?
33
Suppose -5*r + 8 = -3*v, -6 = -2*r - v - 5. Suppose 3*p + 48 = -2*y, 37 = -2*p + y - 4*y. Let q = -11 - p. What is the remainder when q is divided by r?
0
Let s be 4/2*(6 - 4). Suppose -16 = -s*x - 8. Let m = 3 - 1. What is the remainder when m is divided by x?
0
Let g(y) = y**3 - 7*y**2 + 6*y - 21. Let r = -42 - -49. What is the remainder when g(r) is divided by 4?
1
Suppose 0 = -f - 3*c + 11, 4*c - 12 = 0. Suppose -3*z + f*q + 490 = 0, z - 817 = -4*z + 3*q. What is the remainder when z is divided by 33?
32
Let j(p) = 10*p + 65. Suppose 12*f = 11*f - 6. Calculate the remainder when 48 is divided by j(f).
3
Suppose -60 = j - 6*j. Suppose 0*q = q - 23. What is the remainder when q is divided by j?
11
Let d(c) = 3*c**2 + 3*c - 2. Let l be d(-2). Suppose -l*k = -30 - 42. What is the remainder when k is divided by 2?
0
Let m = 3 + -5. What is the remainder when 4/(-3)*(-1 + -3 + -8) is divided by 3/6 + (-17)/m?
7
Suppose 2*l - 8 - 44 = 0. What is the remainder when (-66 - -83)/(1/(-6)*-2) is divided by l?
25
Let q = 18 + -15. Suppose 4*o - 32 + 7 = -5*b, q*o = 0. Suppose -r - 28 = -b*r. Calculate the remainder when 12 is divided by r.
5
Let f(p) = p**3 - p**2 + 12. Calculate the remainder when 117 is divided by f(0).
9
Suppose -3*q + 108 = -5*h - 123, 0 = -5*q - 5*h + 385. What is the remainder when q is divided by 25?
2
Let x = 15 - -2. Suppose 0 = 4*r - 135 + 11. What is the remainder when r is divided by x?
14
Let c(x) = -5*x + 19. Let o(q) = -11*q + 38. Let w(j) = -14*c(j) + 6*o(j). What is the remainder when 54 is divided by w(13)?
12
Suppose 8*j - 5*j - 15 = 0. Suppose -u = -2*c - j*u + 220, 426 = 4*c + u. Calculate the remainder when c is divided by 18.
16
Let g be 0/(4 + 1*-2). Suppose 345 = -g*p + 5*p. Suppose -10*u = 20*u - 420. Calculate the remainder when p is divided by u.
13
Suppose 3*g - 2*y - 58 = 0, 0 = -5*g + 5*y - 0*y + 90. Suppose -3*c + j = -41, -5*c - j - 3*j + 57 = 0. What is the remainder when g is divided by c?
9
What is the remainder when 5/((-180)/(-1036)) + (-4)/(-18) is divided by 10?
9
Let v = 365 + -355. What is the remainder when 221 is divided by v?
1
Calculate the remainder when 137 is divided by (214/3 - -1) + 62/(-186).
65
Suppose -67 = -2*v + 5*b, -b + 4*b + 65 = 2*v. Suppose -2*x + o - v = 0, 2*x + 4*o = -0*x - 6. Let h = -7 - x. Calculate the remainder when 23 is divided by h.
5
Calculate the remainder when 182 is divided by (4*-12)/(15 - 18).
6
Let u be ((-35)/10 + 3)*38. What is the remainder when 7 is divided by (-3)/8 - u/8?
1
Suppose -22*f = -649 - 165. Calculate the remainder when 194 is divided by f.
9
Suppose 77 - 5 = 4*l. What is the remainder when 42 is divided by l?
6
Suppose -3*y = 4*d - 0*y - 60, 0 = 3*d + y - 40. Calculate the remainder when 46 is divided by d.
10
Let c = 36 + -25. Suppose a - c = r + 59, -325 = -4*a - 5*r. Calculate the remainder when a is divided by 7.
5
Let l = -42 - -73. Let c = l - -16. Suppose -85 = -4*q + c. Calculate the remainder when q is divided by 9.
6
Let f = 7 - 5. Suppose l + 11 = f*l. What is the remainder when l is divided by (-12 - 0)*((-25)/(-10) + -3)?
5
Suppose -2*d + 185 = f, f - 101 = -d - 7. Calculate the remainder when d is divided by 26.
13
Let t(f) = f**3 - 9*f**2 - f + 29. Let k be t(9). Let h = k + -7. Calculate the remainder when 26 is divided by h.
0
Let z = 36 - -18. Let h = z + -33. Suppose 2*q - 24 = -q. What is the remainder when h is divided by q?
5
Let c = -78 + 96. Suppose 5*b - 2355 = -315. Suppose d = -5*t - 65 + b, t + 2*d - 65 = 0. Calculate the remainder when t is divided by c.
15
Let s(c) = -6*c + 80. Calculate the remainder when 129 is divided by s(6).
41
Let u(d) = -d**3 + 4*d**2 - 3*d - 5. What is the remainder when u(-4) is divided by 23?
20
Let p(r) = -r**3 - 4*r**2 + 48*r + 1. Calculate the remainder when 480 is divided by p(-10).
117
Suppose 30 = 5*m - u, -59*u - 6 = -m - 64*u. What is the remainder when 340 is divided by m?
4
Suppose -46 = -2*s + 2*i, -5*s = -2*i - 39 - 91. Let n be (-2)/4 - 1724/(-8). Let d = n + -104. Calculate the remainder when d is divided by s.
27
Suppose 15 = -7*v + 6*v. Let d be (15/(-9) + 2)*v. Let f = 0 - d. Calculate the remainder when f is divided by 4.
1
Let f(j) = -j - 3. Suppose -54*n = -64*n + 180. What is the remainder when n is divided by f(-15)?
6
Suppose 24*m - 284 - 916 = 0. Calculate the remainder when 2047 is divided by m.
47
Let d(w) be the first derivative of -25*w**4/4 + w**3/3 + w**2/2 - 3. Let g(t) = t**3 - 4*t**2 + 2*t + 1. Calculate the remainder when d(-1) is divided by g(4).
7
Let h(n) = -n**2 + 28*n + 73. Calculate the remainder when h(25) is divided by 14.
8
Let u(c) = -c**2 + 4*c - 4. Let f be u(4). Suppose 4*k + p - 20 = 0, -2*p - 5 + 29 = 4*k. Calculate the remainder when 1/f + 399/28 is divided by k.
2
Let x = -6 + 11. Calculate the remainder when 600/70 - 24/(-56) is divided by x.
4
Suppose -5*x = -8 - 37. Let i = -25 - -29. What is the remainder when x is divided by i?
1
Suppose 181 = 10*d - 39. Calculate the remainder when 172 is divided by d.
18
What is the remainder when 84 is divided by 14 + 6*(-3)/(-6)?
16
Let k = 4 + -7. What is the remainder when (-2)/32 + (-171175)/(-2672) is divided by ((-13)/k)/((-4)/(-12))?
12
Let o(s) be the second derivative of -s**3/2 + 14*s**2 + s. Calculate the remainder when o(-18) is divided by 14.
12
Let f = -126 + 150. Let p = 1 + 1. Calculate the remainder when 69*p/6*3 is divided by f.
21
Suppose 2*i + 4*a = 3*a + 41, -5*a = 3*i - 51. Let n = 166 + -57. Calculate the remainder when n is divided by i.
21
Let g be (-20)/25 - (-66)/(-5). What is the remainder when 88 is divided by (-40)/g*(-49)/(-14)?
8
Suppose 2064 = -9*s + 21*s. What is the remainder when s is divided by 60?
52
Let c(a) be the second derivative of a**4/12 - 2*a**3/3 - 3*a**2 - a. Let p be (5 + -2 - -5) + 2. Calculate the remainder when c(p) is divided by 19.
16
Suppose -7*a + 5*a + 5*n + 309 = 0, 690 = 5*a + 4*n. What is the remainder when a is divided by 106?
36
Suppose -199 = -45*b + 791. What is the remainder when 1160 is divided by b?
16
Suppose -3*z = -4*z + 117. What is the remainder when z is divided by 750/30 + (-1)/1?
21
Suppose -2*g + 2*q = -10, 3*g - 3*q = 2*