remainder when 162 is divided by z.
48
Suppose -4*o + 20 = 0, -2*j + 3*o + 1 = 2*j. What is the remainder when 69 is divided by ((-40)/12 + 4)*54/j?
6
Suppose -74 - 80 = -2*z. Suppose -5*g + 212 = z. Calculate the remainder when g is divided by 7.
6
Suppose 0 = -4*m - 5*k + 59, -4*m = -9*k + 13*k - 56. Let b = 12 + -7. Let i = b + 26. Calculate the remainder when i is divided by m.
9
Let s be (23/4)/(1/4). Let d = 33 - 12. Calculate the remainder when d is divided by 1/(s/(-12) + 2).
9
Suppose 3*p = -3*p + 132. Calculate the remainder when 130 is divided by p.
20
Suppose -1000 = -8*o - 8. Calculate the remainder when o is divided by 28.
12
Let z = -2 - -16. Suppose 0*t + 12 = 4*t. Suppose 3*v + 135 = t*y - 2*v, 4*v = 5*y - 212. Calculate the remainder when y is divided by z.
12
Let u(t) = -t**2 + 24*t - 17. Let r(k) = 26*k + 1. Calculate the remainder when r(4) is divided by u(22).
24
Let r = 90 + -86. Calculate the remainder when 171 is divided by 1 + 60 - 12/r.
55
Suppose -5*h = -2*h - 96. What is the remainder when 202 is divided by h?
10
Suppose -3*v = -2*v + 4*v. Let g(h) be the second derivative of -h**5/20 - h**4/12 + h**3/6 + 3*h**2/2 - h. What is the remainder when 5 is divided by g(v)?
2
Let f = 25 + 41. What is the remainder when 130 is divided by f/(3 + 0 - 1)?
31
Let c(o) = 6*o**2 - 12*o + 17. Let u(w) = w**2 + 1. Let l(f) = c(f) - 5*u(f). Let g be l(13). Let n = g - 9. Calculate the remainder when n is divided by 9.
7
Let t(g) = -g**2 + g + 42. What is the remainder when t(0) is divided by (-3610)/(-330) + (-12)/(-198)?
9
Suppose -41*r = -3708 - 556. Calculate the remainder when r is divided by 46.
12
Calculate the remainder when 170 - 34 - (-7 + 1) is divided by 13.
12
Calculate the remainder when (-405)/(-11) + (6 - 768/132) is divided by 19.
18
Suppose 3*p + 3*w - 143 = -2*p, 4*p = 4*w + 140. Let j = 59 - p. What is the remainder when 105/j*2*4 is divided by 8?
6
Suppose -4*l = -5*j + 224, j - 4*l - 92 = -j. Calculate the remainder when 86 is divided by j.
42
Suppose 121 = 3*j + 4. Let q = -16 + 36. What is the remainder when j is divided by q?
19
Suppose 3*q - 5*l = 156, q + q - l = 111. What is the remainder when 450 is divided by q?
51
Let i = 74 + -52. Suppose 4*l - i - 14 = 0. What is the remainder when 23 is divided by l?
5
What is the remainder when (-6)/39*-1 - 336/(-13) is divided by 16?
10
Suppose -2*a - 36 = -3*y, -2*a = -4*y - 4*a + 48. Calculate the remainder when 203 is divided by y.
11
Suppose 0 = 2*o - 6*o + 12. Suppose -o*y + 2*w - 2 = -2*y, -3*y + 4*w = 0. What is the remainder when 20/3*(-6)/(-4) is divided by y?
2
Suppose 0 = -n - 0*z + z + 347, -3*n - z + 1033 = 0. Calculate the remainder when n is divided by 70.
65
Suppose -5*s + 32 = -4*m, 2*s + 3*s - 5 = -5*m. Calculate the remainder when (300/(-175))/((-2)/7) is divided by s.
2
Let d be (12/(-10))/(16/(-40)). Suppose 0 = -d*t + 59 + 262. Suppose t + 33 = 5*f. Calculate the remainder when 83 is divided by f.
27
Let i(c) = c**2 - 8*c - 7. Let r be i(5). Let u = 44 + r. Calculate the remainder when 12/(-21) + ((-592)/(-7) - -3) is divided by u.
21
Let n be (-7)/42 + 26/12. Let u = 21 - 17. Let s = u - n. Calculate the remainder when s is divided by 2.
0
Let n = -10 + 21. Let b = 313 + -211. Let z = b - 62. What is the remainder when z is divided by n?
7
Let r = 591 + -341. Calculate the remainder when r is divided by 12.
10
Suppose 550 = 430*m - 428*m. Calculate the remainder when m is divided by 97.
81
Let x(y) = 3*y**2 - y - 11. Suppose -3*v = -3*c - 6, 2*c - 15 = -2*v + 1. Calculate the remainder when x(v) is divided by 12.
11
Let q be ((-4)/8)/((-5)/3020). Suppose -3*g + 40 = -q. Calculate the remainder when g is divided by 9.
6
Suppose 4*q = -4 - 0. Let c = -37 + 60. What is the remainder when c is divided by (-32)/(-12)*(2 - q)?
7
Let t(o) = -3*o + 4. Let i be t(3). Let k be 7 + (-10)/(-2) + 15/(-5). Let n = k - i. What is the remainder when 53 is divided by n?
11
Suppose -14*o + 20 = -9*o. Suppose 5*q = o*u - 0*q - 69, -u = -2*q - 15. What is the remainder when 79 is divided by u?
16
Suppose 25*y = 29*y - 5*s - 723, y - 3*s - 186 = 0. What is the remainder when y is divided by 75?
27
Calculate the remainder when 20 + 1 + 10/(-25)*5 is divided by 17.
2
Suppose -5*j + 58 = -2. Suppose -6*c = -j*c + 318. What is the remainder when c is divided by 11?
9
Suppose 6*d = 8*d - 10. What is the remainder when 31 is divided by -2 + -4 + d - -9?
7
Suppose -4*l - 7*l + 242 = 0. Suppose -l - 8 = -10*w. What is the remainder when 3 is divided by w?
0
Suppose 25*x - 29*x - 4*f = 384, 4*f = 0. Suppose 2*l - 4*h = 318, 5*l - l - 614 = -3*h. Let z = l + x. What is the remainder when z is divided by 15?
14
Let x(n) = 4 - 41*n - 43*n + 90*n + 3*n**2. Suppose 0 = -2*y - 6*j + j + 2, 2*j = 5*y + 24. What is the remainder when x(y) is divided by 6?
4
Suppose -6*r + h = -9*r + 91, 89 = 3*r + 2*h. What is the remainder when 650 is divided by r?
30
Calculate the remainder when (-4)/2 + (5 - 1) + 53 is divided by 28.
27
Let s = -2149 - -2258. Suppose 3*j + 31 = 73. What is the remainder when s is divided by j?
11
Let i(r) = -2*r**3 - 4*r**2 - 14*r - 49. Calculate the remainder when i(-5) is divided by 5.
1
Let j = -329 - -356. Calculate the remainder when 889 is divided by j.
25
Let q(z) = -z**2 - 20*z + 12. Let r be q(-21). Let b(u) = u**3 + 10*u**2 + 2*u + 14. Calculate the remainder when b(r) is divided by 26.
25
Let i(b) = -59*b - 15. Let t be i(-5). Suppose 3*r = -r + t. Calculate the remainder when r is divided by 24.
22
Let l(m) = m**2 + 17*m - 213. Let z(f) = -f. Let v be z(0). What is the remainder when 2/6*v + 62 is divided by l(-26)?
20
Suppose 4*f = -2*p + 10, -5*p - 4*f = -p - 16. Suppose -60 = -3*a - 5*v, 4*a = -4*v + 69 + 3. Suppose -y - 5 = -a. What is the remainder when y is divided by p?
1
Let c(h) be the first derivative of 1/3*h**3 + 3 + 11/2*h**2 + 8*h. What is the remainder when 23 is divided by c(-11)?
7
Suppose 3*r + 39 = 3*y, -5*r - 2 + 1 = -y. Calculate the remainder when 65 is divided by y.
1
Suppose -35*s = 3*s - 3420. Calculate the remainder when s is divided by 4.
2
Suppose -4*d + 37 = -47. Suppose 4*r - 18 = 2*n, -2*r + 3*n + d = 2*r. Suppose 0 = r*x + 2 - 68. What is the remainder when 41 is divided by x?
19
Let i(c) = 29*c**2 + 3*c - 2. Suppose -4*g = -3*g - 1. Calculate the remainder when i(g) is divided by 11.
8
Suppose 0 = -5*l + 4135 + 2450. What is the remainder when l is divided by 110?
107
Let z be 114/9 + (-4)/6. Let y be (-195)/30 - 3/2. Let k = z + y. Calculate the remainder when k is divided by 1.
0
Let a(u) = u**2 + 6*u + 11. Let r = -15 + -6. Let b = r - -15. What is the remainder when 19 is divided by a(b)?
8
Suppose -3*q + 134 = -4*b, -3*b + 0*b - 38 = -q. Calculate the remainder when q is divided by 18.
14
Let r = -43 - -20. Let o = r + 33. Calculate the remainder when 69 is divided by o.
9
Let p = 258 - 192. What is the remainder when p is divided by 23?
20
Suppose 5*v = -2*s + 39 + 17, -2*s = 2*v - 26. What is the remainder when 67 is divided by v?
7
Suppose 18*o + 4 = 16*o. What is the remainder when (7/o)/((-93)/30 + 3) is divided by 18?
17
Let y = -13 - -26. Let w be (-8)/(80/15)*-2. Calculate the remainder when (-23 - 1)*w/(-3) is divided by y.
11
Suppose 13 = -3*l + 181. Suppose 15*o - 5*o + 2*o = 0. Suppose -w + 2*y + 31 = o, 0 = w + 2*y - 7*y - 34. Calculate the remainder when l is divided by w.
27
Let x(t) = -4*t - 147. What is the remainder when 117 is divided by x(-38)?
2
Let c = 19 - 12. Calculate the remainder when 375/9 - 4 - 20/30 is divided by c.
2
Suppose -119*w + 108*w + 792 = 0. What is the remainder when w is divided by 5?
2
Let l be (2 - -1)/(9/6). Suppose -4*i = -l*i - 6. Calculate the remainder when (2 + (i - 42))*-1 is divided by 10.
7
Let x(g) = g - 11. Let m be x(7). Let d(n) = -n**3 - 2*n**2 + 2*n - 4. Calculate the remainder when 99 is divided by d(m).
19
Let a = 141 + -159. Let d(g) = -g**3 - 17*g**2 + 9*g - 5. What is the remainder when d(a) is divided by 54?
49
Let s(g) = -g**3 - 20*g**2 - 79*g + 27. What is the remainder when s(-15) is divided by 10?
7
Suppose -7*d - 45 = -1347. Calculate the remainder when d is divided by 64.
58
Suppose -2*i - 172 = -2*j, -2*j - i - 3*i = -178. Let n = j -