 -2*x, r + 5*x = 68. Suppose r - 13 = z. Suppose -2*m = 5*b - 68, -45 = -2*b - b + 3*m. What is the remainder when z is divided by b?
13
Suppose 846 = 3*n + 3*a + 285, 394 = 2*n - 3*a. What is the remainder when n is divided by 66?
59
Let h be (39/9 - 3)*6. Suppose -4*x = -h*x - 8. What is the remainder when 43 is divided by 1 + x/(-2) + 9?
10
Let r(i) = -3*i**2 - 20*i - 7. Let a be r(-6). Suppose -a*n = -5*d + 22 - 97, n - 9 = 4*d. Calculate the remainder when 45 is divided by n.
11
Let u be 316/6 + 2*2/12. Suppose 4*l + 18 = 3*l - 5*d, -4*l = -5*d - u. Calculate the remainder when 31 is divided by l.
3
Let y = 218 + -317. Let c be 2/(y/51 + 2). Suppose -5*l - 116 = -5*s - 2*l, 0 = s + 3*l - c. Calculate the remainder when s is divided by 7.
4
Let q = 45 + -23. Suppose l + q = 35. Calculate the remainder when l is divided by 6 + 2 + 2/(-2).
6
Let x = 100 + -74. What is the remainder when 63 is divided by x?
11
Suppose -6*n - 5*l = -2*n - 60, -5*n + 3*l + 38 = 0. What is the remainder when 28 is divided by n?
8
Let j(y) = -y**2 - 5*y. Let n be j(-4). Let x = 187 - 183. Suppose -n*z + 120 = 2*s, z - 85 - 120 = -x*s. What is the remainder when s is divided by 17?
16
Suppose -p = 2*p + 3*b - 153, -p + 5*b + 57 = 0. Let c(q) = -4*q**3 + 5*q**2 + q + 203. Calculate the remainder when c(0) is divided by p.
47
Let p be (-16 + 9)*(-312)/14. What is the remainder when 34 is divided by -6*((-362)/p - (-4)/26)?
8
Suppose -9 = k - 3*j, -3*k = -j - 4 - 1. What is the remainder when ((-10)/20)/((-3)/18) is divided by k?
0
Let v(q) = -4*q**2 - 33*q - 16. Calculate the remainder when 549 is divided by v(-7).
17
Suppose 9 - 54 = -y. Suppose a + 3*a = 8. Suppose -34 = -a*c - 10. Calculate the remainder when y is divided by c.
9
Let x be ((-26)/(-6))/((-4)/(-24)). Let w = x - 11. What is the remainder when w is divided by 9?
6
Let r be (2 + -2 - 2) + 1. Let z be (-1 - 0)/(r/(-1)). Let u = z + 22. What is the remainder when u is divided by 11?
10
Suppose q - 10 = 87. Suppose 39*y = 36*y + 147. Calculate the remainder when q is divided by y.
48
Suppose -77 + 347 = 10*j. Calculate the remainder when j is divided by 12.
3
Let b(m) = m**3 - 31*m**2 + 29*m + 68. What is the remainder when 90 is divided by b(30)?
14
Suppose 2*a - 4*p + p = 71, -5*p = -5*a + 180. Suppose -3*l + a = 2*s, s - 55 = -5*l - s. Calculate the remainder when 666/l - 0/1 is divided by 25.
24
Suppose 4*w + 4*k = 88, 2*k - 76 = -5*w + 31. Suppose w*n = 7*n + 2240. What is the remainder when n is divided by 27?
25
Suppose -2*w + 6 = 0, w + 2*w = 3*j - 549. Let l = 613 + -586. What is the remainder when j is divided by l?
24
Let r(b) be the third derivative of -b**6/120 - 7*b**5/30 - b**4/24 + 4*b**3/3 - 8*b**2. What is the remainder when (43 + -2)/(4 + -3) is divided by r(-14)?
19
Let j(k) = -2*k + 53. Calculate the remainder when j(0) is divided by 5.
3
Let n = 0 - 1. Let h(w) = 29*w - 1. Calculate the remainder when (530/(-60))/(n/6) is divided by h(1).
25
Suppose 0 = 20*z + 54 - 1294. Calculate the remainder when 180 is divided by z.
56
Let x be ((-8)/(-5))/((-2)/10). Let l(w) = w**3 + 9*w**2 + 7*w + 3. Suppose -j = -4*j + 96. Calculate the remainder when j is divided by l(x).
10
Let m(g) = 4*g - 32. Let i be m(8). Suppose 5*x - 7*p = -2*p + 95, -3*x + 5*p + 53 = i. What is the remainder when x is divided by 9?
3
Calculate the remainder when (-2303)/(-21) - 4/6 is divided by 4.
1
Suppose 8*z = -4*n + 284, z + 2*z - 111 = 3*n. What is the remainder when 66 is divided by z?
30
Let a = 102 - 27. Calculate the remainder when a is divided by 22.
9
Let w be (-15)/2*(-8)/12. Suppose 0*h - 245 = -3*o - w*h, h - 1 = 0. Let f = -48 + o. Calculate the remainder when f is divided by 17.
15
Let s(c) = 239*c**3 - 3*c**2 - 5*c + 6. What is the remainder when s(1) is divided by 10?
7
Let j(x) = -x**2 + 8*x. Suppose -4*g - g + 4*v = -56, 4*v + 32 = 2*g. Let f be j(g). What is the remainder when 18 + (4 - f/5) is divided by 12?
10
Suppose -z + 5*w - 4 = 0, -3*w - 38 = -3*z + 2*w. Suppose z + 29 = 2*x. Calculate the remainder when 48 is divided by x.
23
Suppose -27 = -0*x - x - 3*r, 3*x = r + 31. Let w(d) = 2*d**2 + 8*d - 2. Calculate the remainder when w(-6) is divided by x.
10
Let g be ((4 + -2)/2)/((-5)/(-10)). What is the remainder when (-3 - (0 - g))*3 - -61 is divided by 15?
13
Suppose 8 = 6*o + 2. Calculate the remainder when 18 is divided by o/(-2)*1*-20.
8
Suppose 14*f = -f + 195. What is the remainder when 75 is divided by f?
10
Let o = -527 + 529. Suppose 0*p = -4*p. Suppose -j + 4 - 2 = p. Calculate the remainder when o is divided by j.
0
Let a(g) = 50*g**2 - g + 1. Let c = 1238 + -1221. Calculate the remainder when a(1) is divided by c.
16
Suppose -u + 5 = 5*j, -4*j = 2*u + j - 5. Let a(o) = o**2 - o + 15. What is the remainder when a(u) is divided by 9?
6
Suppose 183 = 4*b + 19. Calculate the remainder when 75 is divided by b.
34
Let d = 24 - 15. Suppose 0 = -4*c + c + 48. What is the remainder when c is divided by d?
7
Suppose 0 = 92*i - 94*i + 140. Let h = i - 50. What is the remainder when 41 is divided by h?
1
Let t be 1/(9/2) - (-5240)/72. Suppose -3*b + 75 = -279. Let o = b - t. Calculate the remainder when o is divided by 23.
22
Suppose 0 = 4*p - 174 - 86. Calculate the remainder when 257 is divided by p.
62
Let y(t) = -2*t**2 - 23*t - 39. Calculate the remainder when 38 is divided by y(-8).
4
Suppose 150 = 2*z + 8*z. What is the remainder when 177 is divided by z?
12
Let l = -5 - -9. Let d(k) = k**3 + 6*k**2 + k - 5. Let y be d(-6). Calculate the remainder when (-11 - y) + (10 - -1) is divided by l.
3
Suppose 0 = -5*v + 59 + 86. Suppose 10 + 50 = -2*l. Calculate the remainder when v is divided by (-288)/l - (-6)/15.
9
Suppose l - 49 = -z + 2*l, -2*z + 93 = 3*l. Calculate the remainder when z is divided by 19.
10
Suppose 13*s + 46 = 1944. What is the remainder when s is divided by 30?
26
Calculate the remainder when ((-207)/(-5))/(54/(-20) - -3) is divided by 37.
27
Let c = 68 + -16. Let i = -27 - 16. What is the remainder when c is divided by i/(-4) - 4/(-16)?
8
Suppose 2*z = -p + 10, -11 = -z + 5*p + 5. Calculate the remainder when 18 is divided by z.
0
Let g = 237 - 231. Let u = -5 - -17. Suppose -u = -3*w - 4*a, 2*a - 6*a = 2*w - 8. What is the remainder when g is divided by w?
2
Let p(y) = -6*y - 46. Calculate the remainder when 604 is divided by p(-14).
34
Let n(b) = 7*b**3 - 3*b**2 + 2*b + 2. Let l = -2378 - -2395. Calculate the remainder when n(2) is divided by l.
16
Suppose -647 = -3*f - 179. What is the remainder when f is divided by 80?
76
Let v(b) = b - 1. Let r(c) = 5*c - 15. Let w(i) = -r(i) + 6*v(i). What is the remainder when 81 is divided by w(5)?
11
Suppose 7*u = 190 + 825. Calculate the remainder when u is divided by 4.
1
Let j(g) = -34*g**3 + 3*g + 4. Calculate the remainder when 130 is divided by j(-1).
25
Let b = -18 + 6. Let z = b + 1. Let d = z + 15. What is the remainder when d is divided by 2?
0
Let b(z) = 78*z - 253. What is the remainder when b(18) is divided by 16?
15
Let n(y) = -7*y**3 - 3*y**2 + 5*y - 7. Calculate the remainder when n(-5) is divided by 35.
33
Suppose -2*l - 574 = -850. What is the remainder when l is divided by 47?
44
Suppose 0 = -4*w + 2*w + 4, -25 = -3*t + 4*w. Suppose -2*c + 85 = 3*c + 3*z, -c - t = -5*z. Calculate the remainder when c is divided by 4.
2
Suppose -13*b = -345 - 383. What is the remainder when b is divided by (-12)/10*(-50)/4?
11
Let l be (-3)/(-4) - (4746/(-24))/7. Let o = l + 19. What is the remainder when o is divided by -1 + 0 + 18/1?
14
Let y(z) = -z**2 - 2*z + 48. Let v be y(0). Let f = -32 + 36. Suppose 3*l + s - v = f*s, 0 = 5*l + 4*s - 44. Calculate the remainder when 58 is divided by l.
10
Suppose -5*k + 15 = 0, 2*c + 3*k + 32 = 125. Calculate the remainder when 128 is divided by c.
2
Suppose -2*b - 3 + 4 = 3*u, -b + 5 = -3*u. Calculate the remainder when u*((-42)/9 - 3)*3 is divided by 5.
3
Suppose 0 = -3*g + j + 22, -3*g = -0*g + j - 20. Suppose i - 1 = t - 15, 3*i = -6. Let p = t + -7. What is the remainder when g is divided by p?
2
What is the remainder when 179 is divided by (4416/1656)/(1/(-27)*-2)?
35
Suppose 0 = 5*d + 3 + 27. Let l = -15 + 31. Let m = l - d. What is the remainder when 42 is divided by m?
2