.
14
Suppose 10 = -2*r + 2. What is the remainder when (345/(-1 + r))/(-3) is divided by 12?
11
Suppose 5*v + 104 = -21. Let z = v + 45. Suppose -12*g = 3*j - 11*g - 112, -4*g = -4*j + 144. Calculate the remainder when j is divided by z.
17
Suppose -2*o = -2 - 2. Suppose -3*t = -o - 4. Suppose t*z + 7 = 3*z. What is the remainder when 25 is divided by z?
4
Let h = 259 - 250. Let b = -26 + 41. What is the remainder when b is divided by h?
6
Suppose -7*r = -2*q - 2*r + 48, q + r = 17. Suppose 0 = 4*j - 125 - q. What is the remainder when j is divided by 338/18 - (-6)/27?
17
Let w = 13 + 6. What is the remainder when (0 + 102)*((-110)/(-15) + -7) is divided by w?
15
Let h = -75 - -80. What is the remainder when 47 is divided by h?
2
Suppose 0 = -0*y + 6*y - 60. Suppose 0*j - 2*j + 54 = 0. What is the remainder when j is divided by y?
7
Let d = -394 + 444. Calculate the remainder when d is divided by 14.
8
Let z(m) = m**2 + 7*m + 11. Let o be z(-6). Suppose 3*s - 6*s + 51 = -o*u, -s + 17 = -3*u. What is the remainder when 33 is divided by s?
16
Let d(k) = -k**2 - k + 6. Let c be d(0). Suppose -c = -g + 1. Let r(u) = u**3 - 5*u**2 + 5*u. What is the remainder when r(5) is divided by g?
4
Let i = -164 - -167. Calculate the remainder when 12 is divided by i.
0
Suppose 4*l - 181 = -5*a, 11*l - 7*l - 199 = a. What is the remainder when 383 is divided by l?
40
Suppose -5*m + d + 3*d + 271 = 0, 2*m + d = 98. Suppose -m = -3*k + 2*k. Calculate the remainder when k is divided by 26.
25
Let u = -22 + 12. Let a = u - -41. Let f = -767 + 889. Calculate the remainder when f is divided by a.
29
Let t = 152 + -89. Let p = -20 + t. Calculate the remainder when p is divided by (-44 + 42)*(-22)/8*2.
10
Let n(w) = 6*w - 110. Calculate the remainder when n(26) is divided by 10.
6
Let a = -16 + 18. Suppose 3*q = 6, -a*q = 2*y + y + 14. Calculate the remainder when 60 is divided by ((-54)/(-12))/((-3)/y).
6
Let u = 569 + -508. What is the remainder when 127 is divided by u?
5
Suppose 4*m + m = 15. Let a(h) = m - h + 6 + 1 + 1. What is the remainder when 13 is divided by a(6)?
3
Let r = 1 - 29. Suppose 4*j + 1 - 7 = 2*h, 0 = -4*h + 3*j - 2. What is the remainder when r/(-7) + -1*2 is divided by h?
0
Calculate the remainder when 158/(((-1)/3)/((-12)/36)) is divided by 45.
23
Let a = 12 - -24. Suppose -5*j - 4 = -7*j. Suppose 4*z + 30 = 2*u, j*u = 3*u + 4*z - 27. What is the remainder when a is divided by u?
17
Let k(q) = 11*q - 7. Calculate the remainder when 218 is divided by k(4).
33
Let r(o) = o + 51. Let x be 4/(-6)*-6 + -7 + 0. What is the remainder when r(0) is divided by (29 - 9) + 1 + x?
15
Suppose 0 = 4*s + 5*n - 4*n - 175, -2*n = -3*s + 134. Calculate the remainder when s is divided by 13.
5
Suppose 0 = -2*x - l + 41, 71*l + 65 = 3*x + 69*l. Calculate the remainder when x is divided by (-2 + 3)/((-1)/(-13)).
8
Let g be (4/2 + 2)/(2/(-3)). Calculate the remainder when (g/10)/(6/(-300)) is divided by 17.
13
Let x = 46 + -33. Calculate the remainder when x is divided by -5 + (-3)/((-12)/4) - -9.
3
Let l = 92 - 89. Calculate the remainder when 13 is divided by l.
1
Let q(s) = 4*s**2 - 13*s - 15. What is the remainder when q(5) is divided by 13?
7
Suppose -2*z - 601 = 3*f - 1784, 5*f - 1965 = -2*z. Calculate the remainder when f is divided by 76.
11
Suppose 0 = 3*q - 90 - 18. Calculate the remainder when q is divided by 7/((-147)/(-6)) + (-4061)/(-217).
17
Suppose 0*c = 4*h + 3*c - 24, 5*h = -3*c + 33. Suppose 8*f - h = 7*f. What is the remainder when 15 is divided by f?
6
Let n = 297 - 254. What is the remainder when 169 is divided by n?
40
Let x(w) = 4*w**2 - 2*w + 1. Suppose 2*q - 4 = -0. Suppose 5*d + q = 102. Calculate the remainder when x(4) is divided by d.
17
Suppose -3*x = -0*x - 114. Suppose -4*r - x = -2. What is the remainder when ((-4 - -2) + r)*-6 is divided by 23?
20
Suppose -1152 = 49*l - 67*l. What is the remainder when 97 is divided by l?
33
Calculate the remainder when 12/8 + (-3)/(-12)*178 is divided by 36.
10
Suppose -5*i + 279 = -5*j - 386, -i + 125 = -5*j. Let v = -65 + i. Suppose 0 = 2*r - 3*r + v. Calculate the remainder when r is divided by 18.
16
Let g(j) = -j - 2. Let x be g(-4). Suppose -51 = 9*o - 60. Suppose -x*l + 56 = -5*k, l + o = -3*k + 7. Calculate the remainder when l is divided by 6.
0
Let l(d) = d**2 - 3*d - 25 - d + 18. Let g be l(6). Suppose 5*h - 253 = -j, 2*h + 3*h + g*j = 265. Calculate the remainder when h is divided by 17.
16
Let y = -211 + 230. Calculate the remainder when 55 is divided by y.
17
Suppose -2*h - 32 = -2*o + h, 5*o - 34 = -4*h. Suppose m - 4*v + 2 = 0, 5*m = 3*m - 4*v + 20. Calculate the remainder when o is divided by m.
4
Let l(t) = -196*t - 1366. Suppose 4*m + 85 = 5*k + 23, 0 = 5*k - 3*m - 59. Calculate the remainder when k is divided by l(-7).
4
Suppose 0 = -5*z - 4*w + 22 + 38, -w - 37 = -2*z. Suppose p - 3*p = -94. Calculate the remainder when p is divided by z.
15
Suppose 2*j - 10*j = 0. Suppose j = 3*d + 7 - 31. Suppose 2*n + n - 45 = 0. What is the remainder when n is divided by d?
7
Suppose 0 = 14*r - 9*r + 2*n - 10, -3*n - 3 = 3*r. Calculate the remainder when 94 is divided by r.
2
Let g(v) = -v**2 - 42*v + 19. Calculate the remainder when g(-23) is divided by 56.
8
Let k(v) = -3 - 34*v - 2 + 6. Let j(w) = 3*w - 72. Calculate the remainder when k(-2) is divided by j(30).
15
Let g(n) = 2*n**2 - 8*n + 9. Suppose 3*r = 4*x + 18 + 39, 6 = r + 3*x. Let f be 40/r*(-6)/(-4). What is the remainder when 35 is divided by g(f)?
8
Suppose 3*u - 66 - 33 = 0. Let m = -24 - -27. Suppose -z - m = -u. Calculate the remainder when z is divided by 8.
6
Let q(s) = 17 - 4*s + 17*s**2 - s**3 - 5*s - 8*s**2 + 0*s. What is the remainder when 21 is divided by q(8)?
3
Let i be 5 + -2 + -39 + 1. Let b = i - -55. Calculate the remainder when 77 is divided by b.
17
Suppose -3*g = s - 105, 2*s - 15*g = -18*g + 198. Suppose 3*a - 32 = 25. Calculate the remainder when s is divided by a.
17
Let c = 122 + -94. Let l = 144 + -64. What is the remainder when l is divided by c?
24
Let g = -99 - -88. Let t(k) = 1 + 9 + 3*k - 4*k. Calculate the remainder when 81 is divided by t(g).
18
Suppose 5*g - 2*r - 2 - 296 = 0, -3*g + r = -178. Calculate the remainder when 210 is divided by g.
36
Suppose 0 = 5*d + 2*h + 176, 0 = h + h - 4. Let p = 61 + d. Calculate the remainder when p is divided by 1/(-5) + (-180)/(-25).
4
Suppose 61 = 3*f + 25. Let y be 4/(-1*3/(-54)). Let u = y + -38. Calculate the remainder when u is divided by f.
10
Let k = -127 - -42. Let s = -53 - k. Calculate the remainder when 95 is divided by s.
31
Let b = -82 + 114. Let i = -23 + b. Calculate the remainder when 34 is divided by i.
7
Suppose -3*c + 81 = -87. Let y = -27 + c. Suppose -3*q + 4*q = y. Calculate the remainder when q is divided by 10.
9
Suppose -4*v + 32 - 90 = -5*b, 3*b = 5*v + 40. Let h = 2407 - 2380. What is the remainder when h is divided by b?
7
Suppose 5*l = 2*l + 315. Calculate the remainder when l is divided by (-548)/(-20) + (-92)/(-20) + -5.
24
Let a(i) = -4*i + 94. Calculate the remainder when 244 is divided by a(8).
58
Let o = 829 + -801. What is the remainder when 190 is divided by o?
22
Suppose 5*n - 9 = 3*v, 5*v + 5*n = n + 22. Let w be 2/4 - (-11)/v. What is the remainder when (w + 1)/(12/36) is divided by 8?
5
Let d(u) = 5*u**2 - 21*u - 17. Let z(s) = -4*s**2 + 22*s + 16. Let m(j) = -5*d(j) - 6*z(j). What is the remainder when m(-11) is divided by 28?
25
Let i = -502 - -535. What is the remainder when 56 is divided by i?
23
Let w = 0 + 3. Suppose 7 = -5*j - w. Let u = 45 + j. Calculate the remainder when u is divided by 11.
10
Let q = 238 + -346. Calculate the remainder when (2/3)/((-4)/q) is divided by 5.
3
Let j = 1493 - 805. Calculate the remainder when j is divided by 46.
44
Let s be (-80)/(-480) + (0 - (-59)/6). Suppose -74 = s*w - 234. Calculate the remainder when 28 is divided by w.
12
Let b(h) = -3*h + 6*h - h + 3*h - 12. Let m be b(12). What is the remainder when 33 is divided by 1/(((-20)/m)/(-5))?
9
Let o(m) = -3*m + 2. Let f be o(3). Let n = f - -11. Suppose 5*a - 56 = n. Calculate the remainder when 23 is divided by a.
11
Suppose 966 = 23*w - 9*w. Calculate the remainder when w is divided by 3.
0
Suppose m = 4*f - 415, 0 =