e remainder when 55 is divided by (-31 - j) + ((-36)/(-2))/1.
13
Let m be (-24)/84 + 136/(-14). Let c = -6 - m. What is the remainder when 86/18 - 22/(-99) is divided by c?
1
Let r(f) = f**3 + 13*f**2 + 2*f + 33. Let d be r(-13). Suppose -4*m = -d*m + 114. What is the remainder when 111 is divided by m?
35
Let u = 728 - -169. What is the remainder when u is divided by 100?
97
Suppose 5*o + 33 = 88. Suppose -97 + 433 = 16*p. Calculate the remainder when p is divided by o.
10
Suppose 0 = -3*k - k + 80. Let d = 32 + -13. Let b(r) = 4*r - 18. What is the remainder when b(d) is divided by k?
18
Let f(n) = n**3 - 18*n**2 + 2*n - 15. Let v = -37 - -76. Calculate the remainder when v is divided by f(18).
18
Suppose 4*u + 20 = 4*p, 0*p + 3 = 2*p + 5*u. Suppose -5*d + 35 = -r - 252, p*r - 186 = -3*d. What is the remainder when d is divided by 15?
13
Let p(n) = n**3 - n**2 + 2*n + 12. Suppose 13*s - 5*s = 0. Let y(a) = 2*a + 8. Calculate the remainder when y(6) is divided by p(s).
8
Let i(f) = -f**3 - 3*f**2 - 7*f - 168. What is the remainder when i(-8) is divided by 6?
4
Suppose 0 = 7*o - 226 - 75. Suppose 0 = -k - o + 57. Suppose 0 = h - 3*f - 12, 0 = 5*h + f - 3*f - 47. Calculate the remainder when k is divided by h.
5
Let r(n) = 5*n**2 + n - 2. Calculate the remainder when 717 is divided by r(-2).
13
Suppose -175 = -5*u - x, -4*u + 160 - 31 = 3*x. Calculate the remainder when 353 is divided by u.
29
Calculate the remainder when 299 is divided by 45 - 28/(36/9).
33
Let k(h) = h**3 - 3*h**2 - h + 12. Let y be k(3). Suppose -2*r + 12 = 2*s, 2*r = s - 0*s + y. What is the remainder when 1 is divided by s?
0
Suppose 9*i = -115 + 457. What is the remainder when i is divided by 9?
2
Calculate the remainder when ((-1932)/230)/((-2)/5) is divided by 14.
7
Let x(k) = -k**3 - 19*k**2 - 23*k - 51. Calculate the remainder when 545 is divided by x(-18).
38
Let t be -1*0*(-5 - -4). Suppose t = -6*i + 83 + 37. What is the remainder when i is divided by 11?
9
Suppose 0 = 4*a + 20, 3*o + a + 2*a - 783 = 0. Calculate the remainder when o is divided by 6.
2
Let g be 20/(-25)*(-10)/2. Suppose -2*h = -g*x + 8, -h = -2*h + 4*x - 12. Suppose h*i - 94 = -18. Calculate the remainder when 75 is divided by i.
18
Let s be -5*(20/25)/2. What is the remainder when 159 is divided by 4*s*(225/(-10))/9?
19
Let v(k) = k**3 - 3*k**2 + 2*k + 3. Let r(n) = -3*n**3 + 10*n**2 - 6*n - 8. Let q(t) = -2*r(t) - 7*v(t). What is the remainder when 145 is divided by q(-3)?
34
What is the remainder when (-194)/((-11)/((-2277)/(-18))) is divided by 36?
35
Let y(v) = -v**2 - 33*v - 190. Calculate the remainder when y(-18) is divided by 22.
14
Let v(n) be the second derivative of n**5/20 + 2*n**4/3 - 5*n**3/3 + n**2/2 - 11*n. Calculate the remainder when v(-8) is divided by 28.
25
Let p(y) = y**2 + 14*y + 7. Let t be p(-13). Let k be 16/12 - 4/t. Suppose 3*x = -z + 8, k*x + z + 2 = 7. What is the remainder when x is divided by 3?
0
What is the remainder when 276 is divided by 21/(42/5)*(-28)/(-5)?
10
Let a(x) be the third derivative of 7*x**4/24 - 17*x**3/6 - x**2 - 9. What is the remainder when a(7) is divided by 18?
14
Suppose 8 = 2*b, 4*b = -0*q + 5*q + 11. Let p = q + 10. Suppose -5*g - p = -36. Calculate the remainder when 8 is divided by g.
3
Suppose 2*f + 3*f = -120. Let r = -10 - f. Let x(q) = 2*q + 18. Calculate the remainder when x(r) is divided by 16.
14
Suppose -18 + 4 = -2*i. Suppose -11*p + i*p = -16. Suppose 7*s - 75 = p*s. What is the remainder when 72 is divided by s?
22
Let k = 830 + -467. Calculate the remainder when k is divided by 28.
27
Let v = 187 + -159. What is the remainder when v is divided by 11?
6
Suppose 1565*p - 1559*p - 294 = 0. Calculate the remainder when 340 is divided by p.
46
Let z(f) = 4*f - 14. Let d(r) = -r**3 - 2*r**2 + 5*r - 5. Let y be d(-4). Calculate the remainder when z(y) is divided by 4.
2
Let k(y) = -6*y**2 + 3*y + 2. Let q be k(-1). Let z(w) = -w. Let o be z(q). Calculate the remainder when (8/3)/(o/21) is divided by 3.
2
Suppose -11*b + 1122 + 5599 = 0. What is the remainder when b is divided by 304?
3
Suppose -3*p = 2*d - 17, 3*d - 5*p = 2*d - 24. Suppose i = -4*m - d + 42, -5*i + m = -247. Calculate the remainder when i is divided by 25.
24
Suppose -5*s + c - 4*c + 815 = 0, 5*c - 505 = -3*s. Suppose -s = -5*d + 240. Calculate the remainder when d/24 + (-1)/3 is divided by 1.
0
Suppose -4 = -2*t - 8. Calculate the remainder when 51 is divided by (-215)/(-20) - t/8.
7
Let b(x) = 80*x - 311. What is the remainder when b(7) is divided by 23?
19
Let z = -885 + 907. What is the remainder when 835 is divided by z?
21
Let v(g) = 2*g + 15. Let u = 30 - 23. What is the remainder when v(u) is divided by 8?
5
Suppose 180 = -31*b + 36*b. Suppose 6*j = 9*j - b. What is the remainder when 21 is divided by j?
9
Suppose 4*p - 3*f = -28 + 356, -2*f = 3*p - 246. What is the remainder when p is divided by 62?
20
Let z be (-2 + 1)*-5 - -17. Suppose z = 15*g - 248. Suppose 0 = -0*b - 3*b + 153. What is the remainder when b is divided by g?
15
Calculate the remainder when (-5)/20 + (-6130)/(-40) is divided by 41.
30
Suppose 0 = 6*y - 3*y + 6. What is the remainder when (y - 0)/(4/(-68)) is divided by (-40)/(-30)*(-54)/(-4)?
16
Let i be 0/(-1 + -2 + 2 + 0). Let p(d) = 3*d + 2. Calculate the remainder when p(i) is divided by 2.
0
Let r(g) = g**3 - 11*g**2 + 13*g + 8. Let u be r(9). Let c = -20 - u. What is the remainder when c is divided by 9?
8
Suppose 3*r + 0 + 21 = -3*j, r + 9 = -3*j. Let f = -1 + 1. What is the remainder when 5 is divided by (-3)/(9/r + f)?
1
Let r(p) = -p**3 + 9*p**2 - 11*p + 10. Let z be 45/18*28/10. Let l(i) = -i**2 - 10*i - 5. Calculate the remainder when r(z) is divided by l(-7).
15
Calculate the remainder when 392/(-56) - -3*17 is divided by 9.
8
Suppose 0*m + 10 = -5*a + 3*m, 2*a - 4*m - 10 = 0. What is the remainder when 34 is divided by -4*(a - (3 + -5))?
10
Let q = -10 - -9. What is the remainder when (9 - 2)/(0 - -1) is divided by 4 + 1 - (-1 - q)?
2
Let z(n) = -n**3 + 2*n - 3. Let q be z(-3). Suppose m = 4*m + q. Calculate the remainder when (-376)/m - 22/33 is divided by 16.
14
Suppose -3*t + k = -33, -3*t + 2*k + 14 + 16 = 0. Let q be t/21 + (-53)/7. Let w(l) = -5*l - 17. Calculate the remainder when w(q) is divided by 10.
8
Suppose -5*q + 23 = -27. Suppose -37 = -5*c + g, -2*c + 5*g + q = 3*g. Calculate the remainder when c is divided by 2.
0
Let b be 1 + -1 - (-5 - 5). Let i be (-2)/(-5) - (-26)/b. Suppose 92 = i*l + 5. What is the remainder when l is divided by 10?
9
Suppose 2*y - 76 = -2*y. Let z(j) = 5*j**3 - 17*j + 1 + 4*j - 8*j**2 - 4*j**3 + 1. What is the remainder when z(10) is divided by y?
15
Let d = -51 - -85. Calculate the remainder when -134*24/48*(-1 + -1) is divided by d.
32
Suppose 3*i = 5*g + 154, 3*g = -i + 24 + 18. Suppose 66 = 3*s - 3*d, 2*s - d - 5 = 34. What is the remainder when i is divided by s?
14
Let u = 221 + -137. Suppose -2*b + u = -32. Calculate the remainder when b is divided by 31.
27
Suppose 4*h - 52 = -4*v - 8, 4*v + 2*h = 46. Suppose 0 = 7*d - v - 149. Calculate the remainder when d is divided by 12.
11
Suppose -2*t + 2*m = -228, 10*t + 5*m - 193 = 8*t. What is the remainder when t is divided by 22?
21
Suppose 0 = -t + 25*t - 456. What is the remainder when 113 is divided by t?
18
Suppose 3*r + 6 = 4*r. Let k = r + 0. Calculate the remainder when (-2 - -3)/(2/20) is divided by k.
4
What is the remainder when 3 is divided by (-100)/(-32) - ((-92)/32 - -3)?
0
Let q be (-1)/2*(-2 - 4). Suppose 2*u - u = 5*b - 184, -4*u + 115 = q*b. Calculate the remainder when b is divided by 12.
1
Let p(o) = -68*o - 41. What is the remainder when p(-6) is divided by 9?
7
Calculate the remainder when 506/92*(-188)/(-22) is divided by 26.
21
Let r = -99 + 129. Calculate the remainder when (r + -12)*(-2)/(-6) is divided by 5.
1
Suppose -73*b + 260 - 112 = -1093. Let z(x) = 4*x + 4. Let q(r) = 11*r + 11. Let d(h) = 3*q(h) - 8*z(h). What is the remainder when b is divided by d(5)?
5
Let m(o) = -o**3 + 7*o**2 - 5*o. Let t be m(6). Let b(i) = 4 - i**2 - t*i - 5*i - 10. What is the remainder when b(-7) is divided by 5?
2
Let z = -262 + 295. Calculate the remainder when z is divided by 3.
0
Suppose -59*z = -56*z - 6. Let b =