
9
Suppose -4*n - 2*s + 172 = 0, -43*s = 2*n - 46*s - 102. Calculate the remainder when 66 is divided by n.
21
Let b = -35 + 37. Suppose 3 = -3*h - 3*f, 2*f + 0 = -4*h + b. Suppose 2*y - 22 = h*c, -3*c + 17 = 3*y - 34. Calculate the remainder when y is divided by 3.
2
Let w be (-4)/6 - (-44)/(-6). Let q = 8 + w. What is the remainder when 37 is divided by (3 - (q + 3)) + 10?
7
Calculate the remainder when 312 is divided by ((-116)/(-12) - -2)/((-10)/(-30)).
32
Suppose 1783 = 4*v - 5*a, 0 = -5*v - 3*a + 3034 - 796. What is the remainder when v is divided by 45?
42
Let k(f) = 2*f**2 - 4*f + 1. Let q be k(4). Suppose -3 - 1 = -u + 4*n, 4*u = 5*n - q. Let j = -3 - u. Calculate the remainder when 12 is divided by j.
2
Let m = -157 - -180. What is the remainder when 85 is divided by m?
16
Let u = -3989 - -4004. Let x be 1/(-1 - 8/(-10)). Let s(f) = -f**2 - 7*f - 4. What is the remainder when u is divided by s(x)?
3
Let w(r) = r**2 + 38*r - 244. Calculate the remainder when 94 is divided by w(-44).
14
Let h = 31 - 19. Suppose -2*n + 0*n = -10. Suppose -46 = 3*z - n*z. Calculate the remainder when z is divided by h.
11
Let r(n) = -n**2 + 7*n + 4. Let x be 5/(((-20)/(-8))/5). Let q = 16 - x. What is the remainder when q is divided by r(7)?
2
Let l(d) = 8*d**3 + d. Let m = -4528 - -4542. What is the remainder when m is divided by l(1)?
5
Suppose 5*m - 356 = -2*j, 0 = -4*j + m + 2*m + 764. Calculate the remainder when j is divided by 49.
41
Let l = 538 + -253. Calculate the remainder when l is divided by 59.
49
Suppose 0 = -75*w - 4*w + 4819. What is the remainder when 274 is divided by w?
30
Let x(h) = h**3 + 11*h**2 - 13*h - 7. Let w be x(-12). Suppose -134 = -w*p + 11. What is the remainder when (-3852)/(-45) + 2/5 is divided by p?
28
Let m = -111 - -140. Calculate the remainder when m is divided by 14.
1
Suppose -3*i - 2*q + 2 = 0, -5 = -0*i - 5*i - 3*q. What is the remainder when (18/8)/(6/24) is divided by (-9 + 11)*6/i?
0
Let k(i) = 12*i**2 - i. Calculate the remainder when k(-2) is divided by (2/4)/((-3)/(-102)).
16
Suppose -6*t = -5*n - 9*t + 399, -t - 2 = 0. Calculate the remainder when 204 is divided by n.
42
Suppose -31*v = -30*v - 9. Calculate the remainder when 24 is divided by v.
6
Let h = 1686 - 1656. What is the remainder when 30 is divided by h?
0
Let m(i) = -i**3 - 10*i**2 - 12*i + 4. Let t be m(-9). Let b = -26 + t. Calculate the remainder when 34 is divided by b.
4
Suppose 3*b = -5*g + 79, -g - 33*b + 36*b = -5. Suppose 6*m - m - 20 = 0. Calculate the remainder when g is divided by m.
2
Let j = -226 - -312. Calculate the remainder when j is divided by 8.
6
Suppose 2*d - 433 = -0*d - 5*o, 2*d = -o + 421. What is the remainder when 627 is divided by d?
0
Let u be (9 - 12)*23/(-3). Suppose 0 = -2*x + x - o + u, 0 = -5*x + o + 145. Calculate the remainder when x is divided by 15.
13
Let s(i) = i + 20. What is the remainder when s(-11) is divided by 2 + 1 + (4 - 6)?
0
Let f(d) = 13*d**2 + 5*d + 63. Calculate the remainder when f(6) is divided by 94.
91
Suppose 2*s + s - 55 = b, 46 = 2*s - 3*b. Suppose -17 = 5*w - 7. What is the remainder when s is divided by (w - -1)*(-6 + -3)?
8
Suppose r + 30 = 36. Suppose 7*p - 18 = r*p. Calculate the remainder when 50 is divided by p.
14
Let f(q) = -q**2 + 4*q + 1. Let x be f(3). Suppose -x*o - o = -125. What is the remainder when o is divided by (-14)/(84/26)*(-1 + -2)?
12
Let w = 264 - 206. Calculate the remainder when w is divided by 15.
13
Let b(z) = 10*z + 142. Calculate the remainder when 203 is divided by b(-13).
11
Let c(i) = i + 1. Let y be c(2). Suppose -5*f + y*w = -30, -12 = -4*f - w - 5. Calculate the remainder when (-2)/f + (-1368)/(-27) is divided by 13.
11
What is the remainder when 11/(44/(-20)) + (200 - -2) is divided by 22?
21
Suppose -31*b - 170 = -36*b. Let w = 4 - -3. Let r = w + b. Calculate the remainder when r is divided by 14.
13
Suppose -3*k = -y - 36, 0*k = 2*k + 5*y - 24. What is the remainder when k is divided by (-882)/54*(36/21)/(-4)?
5
Let b(v) = -v**2 - 43*v - 257. What is the remainder when 153 is divided by b(-8)?
15
Calculate the remainder when (472/(-3))/(12 - 518/42) is divided by 48.
40
Calculate the remainder when 33/(-24)*-18*(-2 - -6) is divided by 20.
19
Suppose 5*q + 93 = -107. Let d be q/(-2)*16/40. Suppose n + 111 = 4*k, -4*n - d + 23 = k. What is the remainder when k is divided by 14?
13
Let p(m) = m + 1. What is the remainder when p(3) is divided by (-1)/18 - (-666)/324?
0
Suppose -c - 2*j = -0*j - 11, -4*c + 17 = -j. Suppose -2*f = -s - 7740, 4*f + f = -3*s + 19372. What is the remainder when f/240 + (-2)/15 is divided by c?
1
Let s(i) = -1 + 2 - 2*i**2 + i**3 - 5*i + 2. Suppose 111 = 7*n + 83. Calculate the remainder when s(n) is divided by 4.
3
Let l(w) = -25*w + 16. Let a(j) = 61 - 3*j - 59 + 0*j. Let i(m) = -51*a(m) + 6*l(m). Calculate the remainder when 34 is divided by i(6).
10
Suppose 86 = 2*s + 2*y, -4*s = 3*y - 7*y - 140. Suppose 0 = -c + 13 + 1. Calculate the remainder when s is divided by c.
11
Suppose 3*b = 2*m - 20, -4*b + 5 + 1 = 2*m. Suppose s + 3 - 8 = 0. What is the remainder when m is divided by s?
2
Suppose 766*y - 774*y = -10432. What is the remainder when y is divided by 87?
86
Let i = 258 + -189. Calculate the remainder when i is divided by 10.
9
Let x(b) = -4*b + 82. What is the remainder when x(-5) is divided by 21?
18
Suppose 4*i - 7*x - 144 = -11*x, 0 = i + 5*x - 16. Calculate the remainder when 81 is divided by i.
40
Suppose 3*z + x - 360 = 4*x, 4*x = 2*z - 234. What is the remainder when z is divided by 6?
3
Suppose 0 = 9*z - 11*z - 62. Let h be 8/10 + z/(-5). Let w(r) = r + 15. Calculate the remainder when 63 is divided by w(h).
19
Suppose -5*c = -x - 440, -x - 25 = 4*x. Suppose -6*q + c = -3*q. Calculate the remainder when q is divided by (-8)/(20/8*12/(-30)).
5
Let m(q) = 2*q**2 + 8*q - 11. Let y(s) = s**2 + 15*s - 11. Let w be y(-16). Let h = 83 + -56. Calculate the remainder when m(w) is divided by h.
25
Let h(d) = 2*d**2 + 2*d - 6. Suppose 0 = 4*x + x - 20. What is the remainder when h(x) is divided by 9?
7
Let i(m) = m**2 + 8*m + 9. Calculate the remainder when 65 is divided by i(-9).
11
Let t = 978 + -973. Calculate the remainder when 219 is divided by t.
4
Let j = 5 - -10. Let u = -67 + 141. Let q = u + -16. What is the remainder when q is divided by j?
13
Suppose 4*t = -s + 187, 2*t + 18*s - 104 = 14*s. What is the remainder when t is divided by (1 - 0) + 0 - -11?
10
Let p = 100 + -45. Suppose 2*z - 4 = 54. Calculate the remainder when p is divided by z.
26
Let v = 329 - 290. What is the remainder when 76 is divided by v?
37
Let n = 48 - 35. What is the remainder when n is divided by 9?
4
Suppose -4*z + 193 = d, -199 = -5*z + 2*d + 26. Let l = 106 - 74. What is the remainder when z is divided by (l/(-3))/(2/(-3))?
15
Let p = 194 + -113. Suppose 171*r - 4*j + 113 = 176*r, 0 = 2*r - j - 27. Calculate the remainder when p is divided by r.
13
Let r = -3 - -9. What is the remainder when 48*(3/r + 1) is divided by 25?
22
Suppose -j - 6*s = -2*s - 12, 8 = 4*j - 4*s. Let o(l) = -l + 5. Let x be o(j). Let u(i) = 16*i**2 - 1. Calculate the remainder when 57 is divided by u(x).
12
Suppose 95*m - 1989 = 86*m. Calculate the remainder when m is divided by 68.
17
Suppose -5*p = -5*a - 30, 25 = 5*p - 4*a - 0*a. Let y be p + 3*1/(-1). What is the remainder when 2*(y + 58/4) is divided by 13?
12
Let z be 2*(0/4 - 2). Suppose 0 = -p + 5 + 8. What is the remainder when p is divided by 2*2 - (-8 - z)?
5
Let v(n) = 2*n + 6. Let l be v(-7). Let x be ((-81)/(-12) + 0)/(3/8). Let b = l + x. Calculate the remainder when b is divided by 4.
2
Let v be 9 + 0/(2 - (-2 - -3)). What is the remainder when (v/(-2) + -1)*(-27 - -15) is divided by 24?
18
Let f = 8 + -4. Let w be (1 - 2) + 2 + 4. Let h = -3 + w. What is the remainder when f is divided by h?
0
Suppose 5*c + a = 934, 4*a = 5*c + 336 - 1250. Suppose 0 = 9*p - 12 - c. What is the remainder when 85 is divided by p?
19
Let t(m) = -m**3 + 11*m**2 - 7*m - 13. Calculate the remainder when 67 is divided by t(10).
16
Suppose -5*j + 63 = 2*t, t - 5*j + 4 + 2 = 0. Calculate the remainder when t is divided by 14 + -4 + (-4 - (1 + -2)).
5
Let g be (-3)/2 - (-18)/12. Suppose -10*j + 2 + 78 = g. 