 What is the remainder when 45 is divided by z?
20
Let h = 1597 + -1393. What is the remainder when h is divided by 57?
33
Suppose -56 = -3*h - h. Let l = 25 - h. What is the remainder when 2/(-11) - (4 + (-932)/44) is divided by l?
6
Let s(o) = -278*o + 61. Calculate the remainder when s(-1) is divided by 7.
3
Let p = 10 + -3. Suppose 5*k - 2*w + 78 = 218, 3*k = 3*w + 75. What is the remainder when k is divided by p?
2
Suppose d = -2*k - 2*d + 19, 2*d + 30 = 4*k. Suppose 17*o - 134 = -11*o + 510. What is the remainder when o is divided by k?
7
Suppose 2*l + 72*a = 68*a + 546, 0 = 4*l - a - 1056. Calculate the remainder when l is divided by 90.
85
Let z = -1244 - -1291. What is the remainder when 281 is divided by z?
46
Suppose 5*z - 25 - 20 = 5*f, 30 = 3*z - 2*f. Suppose 15*v - z*v - 192 = 0. Calculate the remainder when v is divided by (-4 + 1)/((-1)/11).
31
Let a(v) = -v**2 + 31*v - 5. What is the remainder when a(30) is divided by 10?
5
Let l = 50 - 46. What is the remainder when 127 is divided by 30/12 + 162/l?
41
Suppose -142 = -m - 2*g, 3*m + 2*g - 175 - 263 = 0. What is the remainder when m is divided by 75?
73
Suppose 9*j = 7*j - 4. Calculate the remainder when j + (0 - -54 - (-9 + 7)) is divided by 19.
16
Let h(u) = -20*u - 1. Let r be h(1). Suppose 0 = -d + 2*b + 44, 32 = d + b - 6*b. Calculate the remainder when d is divided by (-2 - r/9)*54.
16
Let t(m) = -2*m**2 + 22*m - 3. Let a be t(11). Calculate the remainder when 505/7 - (a/(-21) + 0) is divided by 16.
8
Let s be (-51)/(-34) + (-62)/(-4). Suppose 0 = 3*w + w. Suppose -f + 10 + s = w. What is the remainder when f is divided by 10?
7
Let g(h) = 3*h + 19. Calculate the remainder when 40 is divided by g(-4).
5
Let r(b) = 6*b - 6. Suppose -4 = -5*i + 6. Let k = 1 - -2. Calculate the remainder when r(i) is divided by k.
0
Suppose -7*o - 15 = -12*o. Suppose -o*p = -0*p - 48. Let c = p + 35. Calculate the remainder when c is divided by 18.
15
Let s(h) = h**3 - 6*h**2 + h + 8. Let i be s(6). Suppose -i = -a + 3. Let u = 31 - -36. What is the remainder when u is divided by a?
16
Let c(u) = -6*u + 163. Calculate the remainder when 91 is divided by c(22).
29
Let a be (-6)/(-2) - 7 - 8. Let m = -2 - a. Suppose 3*g = 2 + m. What is the remainder when 9 is divided by g?
1
Let b(o) = o**2 + o - 4. Let c be b(4). Suppose 0 = -290*p + 291*p - 7. Calculate the remainder when 1 - (c*3)/(-3) is divided by p.
3
Suppose -5*w = 3*g - 548, -2*w - 257 = -g - 89. What is the remainder when g is divided by (0 - (-2 - -3)*-1)/((-13)/(-780))?
56
Let p(j) = -12*j**2 + 191*j - 15. Calculate the remainder when p(12) is divided by 183.
0
Let m(o) = 2*o**2 - 12*o + 17. Let j be m(5). Let u(a) = a**3 - 5*a**2 - 9*a + 3. Let s be u(6). Let p = j - s. What is the remainder when 86 is divided by p?
20
Let b = 39 - 9. What is the remainder when (1 - 0)*(6 - 1) is divided by 64/b + (-6)/45?
1
Suppose -c = 3, 7*t = 9*t - c - 49. Let a(m) = -m**2 + 8*m - 2. Let d be a(7). Suppose -d*k = -0*k - 45. What is the remainder when t is divided by k?
5
Let v be (-1 + -21)/((-30)/(-135)). Let a = v + 148. Calculate the remainder when a is divided by 18.
13
Let m(a) = a**3 + 4*a**2 + 1. Let p be (7 - 7)*2/(-4). Suppose p = 3*y - 54 - 12. Calculate the remainder when m(3) is divided by y.
20
Let v(g) = -g**2 + 6*g + 14. Calculate the remainder when 76 is divided by v(6).
6
Let u = -9 + 3. Let s(i) = -2*i - 9. What is the remainder when 9 is divided by s(u)?
0
Let t be (238 - -8)*(-2)/(-6). Let r = -53 + t. What is the remainder when 85 is divided by r?
27
Suppose 17*p + 58*p = 2400. What is the remainder when 958 is divided by p?
30
Let z(r) = -17*r + 128. Calculate the remainder when 196 is divided by z(7).
7
Let k = 10 + -47. Let f = k + 43. What is the remainder when 29 is divided by f?
5
Let m = -38 - -25. Suppose -2*g = -285 + 323. Let y = m - g. Calculate the remainder when 39 is divided by y.
3
Suppose -3*a = 11 + 37. Let t = a + 33. Calculate the remainder when 64 is divided by t.
13
Let v(i) = -9*i + 2. Let m(d) = -2*d + 1. Let h(q) = -4*m(q) + v(q). Calculate the remainder when 88 is divided by h(-17).
13
Let n be 3 - 3 - -15*1. Suppose -n*k + 18 = -12*k. What is the remainder when 21 is divided by k?
3
Suppose 5*q - 292 - 673 = 0. Let c = q + -135. Suppose -2*w + 3*w - 16 = 0. Calculate the remainder when c is divided by w.
10
Suppose -160*l + 11359 = -123*l. What is the remainder when l is divided by 103?
101
Suppose -5*i = 5*a - 644 - 496, i + 450 = 2*a. What is the remainder when a is divided by 46?
42
What is the remainder when ((-4)/6)/(5 + (-3892)/777) is divided by 43?
31
Let l be (0 + 4)/((-1)/(-4)). Suppose 0 = 5*u - l - 29. What is the remainder when 14 is divided by u?
5
Suppose -2 = -2*o + 32. Let a = -7 + 13. Calculate the remainder when o is divided by a.
5
What is the remainder when (90/(-6))/(3/(-446)) is divided by 31?
29
Let l(u) = u**3 + 4*u**2 - 2*u - 3. Let a be l(-4). Suppose -r = -a*r + 76. What is the remainder when r is divided by 5?
4
Let g(f) = -13*f + 104. Calculate the remainder when g(-15) is divided by 60.
59
Calculate the remainder when 1240 - -12*(-9)/54 is divided by 5.
3
Let m = 268 + -249. Calculate the remainder when 37 is divided by m.
18
Suppose w = 5*m - w - 120, 0 = -5*w - 25. Suppose 0 = 6*t - 4*t - m. What is the remainder when t is divided by 8?
3
Let u(z) = -3*z + 2*z + 3*z + 18 + 4. Let i(f) = -f - 7. Let t(x) = -11*i(x) - 4*u(x). What is the remainder when 24 is divided by t(8)?
11
Let r = -206 - -297. What is the remainder when r is divided by 31?
29
Let w be 6/45 + (-146)/(-30). Suppose 4*u - 30 = -w*t + 40, -5 = -u. What is the remainder when (-8)/(-10)*95/2 is divided by t?
8
Suppose 4*v - 8*v = -224. Let c = 90 - v. What is the remainder when c is divided by 19?
15
Suppose -1173*j + 1179*j - 222 = 0. What is the remainder when 116 is divided by j?
5
Suppose -4*g + 748 = 5*f, 2*g = -3*g + 3*f + 898. Calculate the remainder when g is divided by 16.
6
Let n(t) = t**3 + 5*t**2 - 3*t - 3. Suppose -5*k = 5*i, -5*k + 2*k - 5*i - 2 = 0. Let l be (9/k)/(-3) - 2. Calculate the remainder when 58 is divided by n(l).
10
Suppose -3244*b + 64 = -3243*b. Calculate the remainder when 67 is divided by b.
3
Let i(l) = l**2 + 5*l + 1. Suppose 4*j + 8 = 0, -3*j + 2*j = 2*s - 72. Let q = 71 - s. Calculate the remainder when q is divided by i(-6).
6
Suppose -20 = -f - 3*f. Calculate the remainder when (-2 + 1 + -2)*-3 is divided by ((-6)/f)/((-6)/20).
1
Let c = 254 - 241. What is the remainder when 140 is divided by c?
10
Let s(c) = 68*c**2 - 9*c + 5. Calculate the remainder when s(-3) is divided by 43.
42
Calculate the remainder when (-63648)/(-520) + (-2)/5 is divided by 64.
58
Let q(o) = 3*o - 35. What is the remainder when 56 is divided by q(18)?
18
Let f be (-2)/((-5)/5) + -4. Let k be f/(-13) + (-4048)/(-52). Suppose -3*y = 2*o - 200, -y = -o - 4*o - k. What is the remainder when y is divided by 14?
12
Let u(g) = g**3 - 7*g**2 + 2*g - 10. Let q be u(7). Let p(a) = a**3 - 2*a**2 + 2*a - 3. Calculate the remainder when p(q) is divided by 2/(-11) - 725/(-55).
11
Calculate the remainder when (-6)/(-15) - 7158/(-30) is divided by (-275)/100*8/(-2).
8
Suppose 78*s + 106 = 79*s. What is the remainder when s is divided by 55?
51
Let q(g) = 3*g - 6. Let y be q(4). Let w be -4*((-52)/8)/(-13). Calculate the remainder when 50 is divided by (39/y)/((-1)/w).
11
Suppose -4*h - 5*a + 46 = -40, 3*h + a - 59 = 0. Let m(f) = f**2 - 1. What is the remainder when h is divided by m(-3)?
3
Calculate the remainder when (-440)/(-22)*(-23)/(-2) is divided by 26.
22
Suppose -6*n + 8*n + 3*w - 14 = 0, 3*n + w - 14 = 0. Calculate the remainder when n/(4/((-2)/(-3)*87)) is divided by 5.
3
Let q = -23 - -46. Calculate the remainder when 156 is divided by q.
18
Let t = -42 + 105. Suppose -7*z = -4*z - t. Let w = z - -19. What is the remainder when w is divided by 21?
19
Let c = 290 + -177. Calculate the remainder when c is divided by 23.
21
Suppose -8*t - 88 = 792. Let z = 185 + t. Calculate the remainder when z is divided by 13.
10
Let v = 122 - 72. Suppose 0 = i - 19 - v. What is the remainder when i is divided by 25?
19
Suppose 7*o + 41 = 349. What is the remainder when 169 is divided by o?
37
Let h(f) = 