is the remainder when a(-13) is divided by 411?
1
Calculate the remainder when 105 is divided by (-14)/126 + (-209)/(-99).
1
What is the remainder when (-57)/(((-16)/(-512))/(1/(-6))) is divided by 107?
90
Let c(p) = -2*p**3 - 39*p**2 - 20*p + 25. Suppose 3*o + 532 = -25*o. What is the remainder when c(o) is divided by 5/((-1)/(-1))*3?
14
Let f(k) = -8*k + 251. Let o(j) = -8*j + 253. Let p(b) = 6*f(b) - 7*o(b). What is the remainder when 81 is divided by p(36)?
12
Let g(a) = 91*a**2 + 2*a - 3. What is the remainder when g(2) is divided by 106?
47
Let f(d) = -20 - 11 + 6*d + 25 + 65. Calculate the remainder when f(8) is divided by 21.
2
Suppose -t - o + 80 = 0, 134 = 3*t - 2*o - 81. What is the remainder when t is divided by 36 - (-5)/(-40)*-6*-4?
9
Suppose 5*f - 6*f + 473 = -2*z, 951 = -4*z - 3*f. Let m = z - -241. What is the remainder when m is divided by 3?
1
Suppose 0 = -r - 3*t - 24, 0 = -4*r + 4*t + 4 - 164. Calculate the remainder when (r/10)/((-32)/240) is divided by 19.
8
Let f be 0*(-3 - -2 - -2). Suppose 4*t - 202 = -4*h + 22, f = -5*h + 5*t + 310. Calculate the remainder when h is divided by 16.
11
Let h(k) = 2*k + 5. What is the remainder when (-29)/2*(-2 + 0) is divided by h(6)?
12
Let x(y) = -y**2 + 4*y + 9. Let p be x(6). Let n be (1/p)/(3/(-405)). Let z = n - 0. What is the remainder when z is divided by 8?
5
Let g(x) = x**2 + 27*x + 383. Calculate the remainder when 3081 is divided by g(-21).
254
Suppose 65 = 5*z - 25. Suppose -5*n = -4*n + 4*t - z, 0 = n + 3*t - 15. Calculate the remainder when 4 is divided by (n/2 + -1)*1.
0
What is the remainder when 1537 is divided by (151 + (3 - 1))*(1984/(-93))/(-32)?
7
Suppose -5*a + 873 + 543 + 209 = 0. What is the remainder when a is divided by 60?
25
Suppose -19*b + 22*b - 36 = 0. Suppose -b*p + 280 + 464 = 0. Let f = p + -53. What is the remainder when 26 is divided by f?
8
Let x = 47 - 6. Suppose -29*c + 16663 - 5991 = 0. What is the remainder when c is divided by x?
40
Let j = 56 - 39. Let h be 1434/(-22) - (-4)/22. Let o = h + 70. What is the remainder when j is divided by o?
2
Suppose -49*w = -43*w - 12. Suppose -w*y + 21*y = 418. Calculate the remainder when 43 is divided by y.
21
Let o = -8 - -33. Suppose 0 = 5*s - p + 8 - 14, -2*p = 2. Suppose -o + s = -t. Calculate the remainder when 215 is divided by t.
23
Let j(p) be the second derivative of p**4/6 - p**3/6 - 23*p**2/2 - 16*p. What is the remainder when 221 is divided by j(-5)?
29
Let o = -258 - -1739. What is the remainder when o is divided by 53?
50
Suppose 0 = -s - 3*s + 3*s. Let n be 3 - s - 6 - 4. Let o = 38 - n. Calculate the remainder when 133 is divided by o.
43
Let r(f) = f - 16. Let t be r(11). Calculate the remainder when (-4 - 1)*(t - 0) is divided by 3/(-1)*4/12*-7.
4
Let r = 46 + -39. Let t(h) = -h**3 + 8*h**2 - 5*h + 16. Let l be t(r). Let f = l - 11. What is the remainder when f is divided by 4?
3
Let r(t) = -13*t**2 - 6*t + 7. Suppose 0 = -3*y + 8*y - 10. Let j be r(y). Let v = -41 - j. Calculate the remainder when v is divided by 10.
6
Calculate the remainder when 294/4263 + (-2657208)/(-58) is divided by 49.
48
Let t(a) = 103*a + 5794. What is the remainder when t(-44) is divided by 19?
8
Let y = -302 + 318. Suppose 300 = -0*z + 6*z. Calculate the remainder when z is divided by y.
2
Let j(q) = 14*q + 30. Let i be j(-3). What is the remainder when 132 is divided by (15/20)/(-3) + (-831)/i?
63
Let k = 17 + -18. What is the remainder when 63 is divided by -1 + (k/(-3))/((-11)/(-462))?
11
Let u = 106 - 68. Suppose 2*s - 5*j - u = 0, 2*s = -5*j + 2*j + 54. Suppose 0 = 3*y - 0*y - 285. Calculate the remainder when y is divided by s.
23
Let i = -28 + 68. Let s = 1037 + -982. Calculate the remainder when s is divided by i.
15
Suppose 135 = w + 4*w. What is the remainder when w is divided by 6?
3
Let n = -154 + 379. Let h = 237 - n. What is the remainder when 71 is divided by h?
11
Suppose 0 = 4*k, 5*c - 2*k = -6*k + 1340. Suppose -22*i - c = -2226. Calculate the remainder when i is divided by 9.
8
Let g = 1328 - 1249. Calculate the remainder when 1340 is divided by g.
76
Suppose 3*x - 5*f - 546 = 7384, x - 2648 = 4*f. Suppose 15*b - x = -60. What is the remainder when b is divided by 25?
22
Let a(m) = 5*m**2 - 34*m + 1. Calculate the remainder when 83 is divided by a(7).
3
Let c be (-32)/10*15/(-6). Suppose 0 + c = 2*n. Suppose -2*y - 6 = -5*i + n, -2*i = -4*y + 12. Calculate the remainder when 6 is divided by i.
2
Suppose 11*j + 3*j = 56. Let y be ((-2)/6)/((-2)/30). Suppose -p + y*g = -24, j*p - 4*g - g = 126. Calculate the remainder when p is divided by 4.
2
Suppose -5*a + 7 = 12, 5*u = 4*a + 3049. Calculate the remainder when u is divided by 51.
48
Let p = 324093 - 323922. What is the remainder when p is divided by (-8)/(-2)*(-70)/(-8)?
31
Suppose 5*x + p + 308 = 2*x, 2*x + 192 = 2*p. Let i = x + 433. Let m = i - 195. Calculate the remainder when m is divided by 28.
25
Suppose 120 = 2*x + 4*j, -3*x - 5*j = -8*x + 300. Let c = x - 47. Suppose -47 = -5*u + 2*y, y - c = -u + 2. What is the remainder when 26 is divided by u?
4
Let r = -12434 - -12464. Calculate the remainder when 12894 is divided by r.
24
Suppose -2*u = -5*p - 409, 5*p + 39 = 34. Calculate the remainder when u is divided by 3.
1
Suppose 5*b - 96*d - 1940 = -92*d, 1552 = 4*b + 2*d. What is the remainder when 558 is divided by b?
170
Suppose -144 = -3*r - 87. Suppose -r*k + 723 = 1. What is the remainder when 119 is divided by k?
5
Suppose -3*y + 214 = -4*p, 5*y - p - 151 = 217. Calculate the remainder when 6953 is divided by y.
71
Suppose 183 = -2*f + 45. Let v = f + -9. Let i = v + 92. Calculate the remainder when i is divided by 8.
6
Let d = 14410 + -14361. Suppose -38 - 18 = -4*k. What is the remainder when d is divided by k?
7
Suppose -3 = 3*p, 0*m + p = 4*m + 383. Let h = 82 + m. Let a = h + 21. What is the remainder when 10 is divided by a?
3
Let y be 18/(-27) + 92/(-6). Let k = y + 34. Let i(f) = 7*f**3 - 19*f**2 + 38*f - 4. Calculate the remainder when i(2) is divided by k.
16
Let m = 120649 + -120631. Suppose -5*g + 2 = -4*g, -v = -2*g - 56. What is the remainder when v is divided by m?
6
Let q(n) = 3*n - 6. Let t(y) = -6*y**2 + 6*y + 8. Let l be t(-3). Let c = 93 + l. What is the remainder when q(c) is divided by 28?
25
Let a be 5/((-35)/(-2)) + (-644)/196. What is the remainder when 74 is divided by a + 308/(8 + -1)?
33
Let a = 28 + -13. Suppose -a = x - 47. Calculate the remainder when 252 is divided by x.
28
Suppose 3*a - 162 = -5*c - 168, 4*a = -3*c + 14. Calculate the remainder when a is divided by 6.
2
Let t = -303 + 555. Suppose -5*o + 5*u = -225, -u + 23 = -5*o + t. What is the remainder when 130 is divided by o?
38
Calculate the remainder when (-13 + -229)/(1/(-1)) is divided by 91.
60
Suppose 83 = -x - i, 2*x + 2*i + 2*i + 168 = 0. Let j = x + 98. Calculate the remainder when 45 - (2/(-1) + 2) is divided by j.
13
Let m(g) = -g - 13. Let w be m(-7). Let y(k) = -4*k - 7. Let t = -2042 - -2074. Calculate the remainder when t is divided by y(w).
15
Let y be (6/(-9))/(-3 - (-44)/12). Let a be 2 + (5 - y)*17. Let s = a - 68. What is the remainder when s is divided by 14?
8
Let d(k) = k**3 + 14*k**2 + 5*k + 56. What is the remainder when d(-7) is divided by 76?
60
Let u = -257 + 406. Suppose 5*s = 51 + u. What is the remainder when 970/s - (-2)/(-8) is divided by 14?
10
Let i = 580 - 547. Suppose 3*x - 154 = 5*l, 2*l - 107 = -3*x + i. Calculate the remainder when 130 is divided by x.
34
Let l be 2/((-5)/((-15)/(-6))). Let s(v) = 9*v - 120. Calculate the remainder when 1*l - (-131 - -11) is divided by s(16).
23
Suppose -4*n - 2*l = -488, -47*n + 2*l + 232 = -45*n. Suppose 5*u - 146 + 21 = 0. What is the remainder when n is divided by u?
20
Let d(f) = f**3 + 82*f**2 + 523*f - 146. Calculate the remainder when 23 is divided by d(-75).
3
Let x(o) = -o**2 + 17*o - 22. Suppose 0*g + 10 = 2*g, m = 3*g + 55. Suppose 5*h = -0*h + m. What is the remainder when x(h) is divided by 12?
8
Suppose 647 = 3180*u - 3160*u - 13473. What is the remainder when u is divided by 64?
2
Suppose 3*c - 118611 = -37*c + 13*c. What is the remainder when c is divided by 1098?
1
Suppose -56*r = 3*r - 58292. What is the remainder when r is divided by 10?
8
Let