is divided by n.
12
Let u(y) = 167*y - 95*y + 11 - 75*y + y**3 + 7*y**2. What is the remainder when u(-6) is divided by 11?
10
Suppose -878*m = -875*m - 2*n - 4484, -2*n + 7500 = 5*m. What is the remainder when m is divided by 50?
48
Suppose 0 = n - 5*c - 33 + 3, -2 = 2*c. Suppose -3*a = -43 + 28. Calculate the remainder when n is divided by a.
0
Let s(a) = 3*a**2 + 9*a + 3. Let n(j) = -j**3 - 8*j**2 - 12*j - 30. Let x be n(-7). Calculate the remainder when s(-6) is divided by (x - -3)/(3/6).
9
Let g(h) = -h**2 - 13*h - 1. Suppose -17*w + 3141 - 234 = 0. Calculate the remainder when w is divided by g(-10).
26
Let z(n) = -2*n**3 - 2*n**2 - 8*n - 7. Let u be z(-2). Suppose -b = -u - 0. Calculate the remainder when 67 is divided by b.
16
What is the remainder when (-345)/12*(-1560)/325 + 7 is divided by (-6)/15 + 384/10?
31
Let b = -712 - -853. Calculate the remainder when b is divided by 2/1 - (10 - 16).
5
Let u = -1873 + 2963. What is the remainder when u is divided by 136?
2
Suppose -17*w + 525 + 398 = 54*w. Calculate the remainder when 1867 is divided by w.
8
Suppose 0 = -15*w - 0*w + 2415. Suppose -w + 0 = -3*t + 5*n, 2*n + 54 = t. What is the remainder when t is divided by 29?
23
Let j be 2/(-4)*(1 - -1)*36. Let m = j - -17. Let d = -5 - m. What is the remainder when 39 is divided by d?
11
Suppose -80*z - 32*z + 359590 = -2*z. Calculate the remainder when z is divided by 17.
5
Let g(z) = -z**2 - 67*z - 1061. Let k(l) = 73*l**2. What is the remainder when k(2) is divided by g(-30)?
47
Let j(u) = 12*u**3 - u**2 - 16*u - 12. Calculate the remainder when j(3) is divided by 27.
12
Let i(q) = q**3 + 3*q**2 - 2*q - 3. Let j be i(-3). Suppose 162 = j*o - 12. Let c = 4 + 16. What is the remainder when o is divided by c?
18
Let d = -689 - -378. Let z = -295 - d. Calculate the remainder when z is divided by 6.
4
Let u = -214 + 132. Let o = -8 + 131. Let i = u + o. Calculate the remainder when 162 is divided by i.
39
Suppose 2*s - 1248 = 3*c - 8*c, -2*c + 4*s + 480 = 0. Suppose 673*w - 670*w - 94 = -4*x, 4*x - w - 118 = 0. Calculate the remainder when c is divided by x.
24
Suppose 4102*y = 4106*y - 444. Suppose 237 - 5 = 4*p - 2*z, -3*p - 2*z = -167. Calculate the remainder when y is divided by p.
54
Let i(d) = 3*d**2 + 92 - 38 - 43 - 16*d. Calculate the remainder when 85 is divided by i(7).
39
Suppose -57*p - 80*p + 2740 = 0. What is the remainder when 224 is divided by p?
4
Let g(i) be the third derivative of 5*i**4/12 - 161*i**3/3 + 10*i**2 + 7. Calculate the remainder when 54 is divided by g(35).
26
Suppose 0 = 4*j + m + 3*m + 2360, -2*m + 1188 = -2*j. Calculate the remainder when 222/j + 2454/16 is divided by 78.
75
What is the remainder when 7302/(-8)*864/(-324) + 5 is divided by 223?
209
Suppose 4*h + k = 2326, 4*h + 3*k - 2362 = 8*k. Calculate the remainder when 4094 is divided by h.
13
Suppose a = 2*y + 5*a - 84, 4*y = 3*a + 113. What is the remainder when 56 is divided by y?
24
Suppose 0*p + 4*l = -p + 38, 5*p + l = 247. Suppose -7256 + 4346 = -171*y + 12993. Calculate the remainder when y is divided by p.
43
Let f = 2871 - 1631. What is the remainder when f is divided by 11?
8
Suppose -1156 = -3*c - 88. Suppose -4*p = -412 - c. What is the remainder when 4/30*-3 - p/(-5) is divided by 10?
8
Let w(f) = 13*f. Let v be 11/((-22)/(-24))*(-2)/(-6). Let t be w(v). Calculate the remainder when 11 is divided by (-23)/(-5) + (3 - t/20).
1
Let o(a) = 2*a + 28. Suppose -3*k - 20 = -8*k. Let r = k + 0. Calculate the remainder when r is divided by o(-12).
0
Let x = 352 + -205. Calculate the remainder when x is divided by ((-2)/4)/((-14)/(1066 - 2)).
33
Suppose -5029 = 12*i - 481. Let l = -327 - i. What is the remainder when l is divided by (-4)/18 - 492/(-27)?
16
Suppose -2*g + 6*y + 3911 = y, 0 = 5*g - 5*y - 9815. Calculate the remainder when g is divided by 34.
30
Let x = -404 + 406. Suppose -v - 40 = -2*i, -3*i + 3*v + 53 = -x*v. Calculate the remainder when i is divided by 12.
9
Suppose -2*z - 4*w - 63 = 301, w = 3*z + 532. Let d = 216 + z. What is the remainder when d is divided by 10?
8
Let p(l) = 3*l + 22. Let h be p(10). Let i = h + -48. Suppose -7*x = -3*x - 3*r - 67, -69 = -i*x + 5*r. What is the remainder when x is divided by 4?
0
Suppose 0 = -4*j + 4*f + 56, 2*j = 3*j + 2*f - 17. Let k = 105 + -63. Calculate the remainder when k is divided by j.
12
Suppose -k = -5*r - 51, -33*r + 31*r - 6 = 0. Let w(o) = 2*o**3 - 8*o**2 + 5*o - 5. What is the remainder when w(5) is divided by k?
34
Suppose 2*b - v - 223 = 0, -4*b - 2*v + 2807 = 2349. Calculate the remainder when 417 is divided by b.
78
Suppose -42*i + 25659 = 4980 - 5025. What is the remainder when i is divided by 5?
2
Let m = -743 - -769. Suppose -8*t + m*t = 198. Calculate the remainder when 72 is divided by t.
6
Suppose -2*k + 5*f = 919 + 38, 5*k = 2*f - 2340. Let d = k + 473. Calculate the remainder when 68 is divided by d.
5
Let h = 134 + -136. Calculate the remainder when (-56)/h*(-4)/((-16)/7) is divided by 11.
5
Suppose -5*w = -30 - 45. Suppose 5*u + 2*d = 5278, 3*u + 3*d = 1367 + 1798. Suppose u = -4*f + 28*f. What is the remainder when f is divided by w?
14
Suppose -3*t = 0, 170 = 3*l + 2*l - 2*t. What is the remainder when l is divided by (-5 + 4)/((14/(-49))/2)?
6
Suppose 2763 = 4*i - 2*d + 565, -3*i = -2*d - 1649. Let x = -189 + i. Suppose 0 = -3*m - 2*m + x. What is the remainder when m is divided by 25?
22
Suppose -2*s = -2*d - 40, -11*s = -8*s - d - 58. Let t(k) = 11*k + 13. What is the remainder when t(7) is divided by s?
14
Let c = -7 - -16. Let y(p) = p**2 + 4*p - 54. Suppose -5*j - 35 = -6*n + 8*n, 0 = -3*n + 4*j - 18. Calculate the remainder when c is divided by y(n).
3
Let v(a) = 61*a**2 - 716*a + 14. What is the remainder when v(12) is divided by 18?
8
Let i = -4430 - -4590. Calculate the remainder when 7197 is divided by i.
157
Suppose -23 = -2*p - 13. Suppose 280 = -p*s + 15*s. Suppose 25*m = s*m - 48. Calculate the remainder when 93 is divided by m.
13
Suppose 8*a + 55*a = 8379. Suppose -5*l - 4*m + 371 = 0, 4 = 3*m - 2*m. Calculate the remainder when a is divided by l.
62
What is the remainder when (1066/123)/((-3)/(-144)) is divided by 137?
5
Let t(u) = -52*u**2 - 393 - 12*u + 27*u**2 + 0*u + 26*u**2. Calculate the remainder when 109 is divided by t(28).
54
Calculate the remainder when (-1)/((-10)/4) - (-11090)/25 is divided by 83.
29
Let d = 32150 - 31947. What is the remainder when 902 is divided by d?
90
Let p(t) = -2*t**3 - 10*t**2 - 15*t - 88. What is the remainder when p(-8) is divided by 35?
31
Calculate the remainder when 529 is divided by (-1460 - 9)/13*-1.
77
Let p = 82 - 118. Let f be 1 - (-3)/(-4) - 9567/p. Let m = 376 - f. What is the remainder when m is divided by 28?
26
Suppose 0*q + 2*s = q - 336, 2*q = 5*s + 672. Suppose -22*h + 15*h = -q. What is the remainder when 477 is divided by h?
45
Suppose -5*t + 4*o + 467 = 0, 4*t + 44 - 434 = -5*o. What is the remainder when t is divided by 76?
19
Suppose 180 = 26*w - 600. Let m = -162 + 175. What is the remainder when w is divided by m?
4
Let b(j) = -j**2 - 3*j + 10. Suppose 0 = 5*d - 5*h - 365, -d = -6*h + 2*h - 88. Let m = -39 + d. Calculate the remainder when m is divided by b(0).
9
Let l(h) = h**2 - 14*h + 2. Let a be l(17). Suppose 22*j - 101 - a = 0. Calculate the remainder when 52 is divided by j.
3
Let i = -551 + 569. Calculate the remainder when 110 is divided by i.
2
Suppose 4*k - 30*y + 26*y - 84 = 0, 2*y = -2*k + 22. What is the remainder when 4045 is divided by k?
13
Calculate the remainder when 6106 is divided by (1/(21/12))/((78/91)/6).
2
Suppose -11*n + 13 = -53. Suppose -16 = 5*x - 6*x + 4*c, -2*x = -5*c - 41. What is the remainder when x is divided by n?
4
Suppose 3299*r - 2835 = 3290*r. What is the remainder when r is divided by 20?
15
What is the remainder when -1841*(-4)/(16/6 - (-5 - -3)) is divided by 23?
14
Suppose 97*c = 94*c + 705. What is the remainder when c is divided by 49?
39
Suppose -140 = -0*g - 3*g + 286. Calculate the remainder when 678 is divided by g.
110
Suppose 0 = q + v - 2158, 165*v - 163*v + 6454 = 3*q. What is the remainder when q is divided by 44?
42
Suppose 12 = -11*p + 15*p. Suppose 2*d + 50 = 4*m, p*m - 15*d + 18*d - 60 = 0. What is the remainder when m