he remainder when (8925/(-34))/(-21)*(3 + -1) is divided by n.
7
Let z be (-316)/26 + (-56)/(-364). Let j(u) = -3*u**2 - 36*u + 12. Calculate the remainder when (-2)/(-4)*8*8 is divided by j(z).
8
Let x = 1091 + -754. Let f = x - 217. Calculate the remainder when f is divided by 32.
24
Suppose 3*n - 167 = 6*k - 7*k, -476 = -3*k - 4*n. Calculate the remainder when k is divided by (23 - 6)/(1/3).
50
Suppose 29*v + 10*v = 585. Let o(i) = -21*i + 6 + 30*i + 2*i**2 - 18*i. What is the remainder when v is divided by o(5)?
4
Calculate the remainder when 212 is divided by (26 - 18) + 4 + (-2)/2.
3
Suppose 237*u - 11*u - 35482 = 0. What is the remainder when 1758 is divided by u?
31
What is the remainder when 4209 is divided by (-1)/(-2) - (-357)/14?
23
Let w(u) = 3*u**2 + 6*u + 16. Calculate the remainder when 1319 is divided by w(2).
39
Let l(w) = -4*w - 6. Let u be l(-2). Suppose u*h = 174 + 94. What is the remainder when h is divided by 34?
32
Suppose -4*j = 5*v - 191, -19*v = 4*j - 23*v - 200. What is the remainder when 117 is divided by j?
19
Let g(l) = l**2 + 7*l - 67. Let t be g(-13). Suppose 13*h + t*h - 7608 = 0. What is the remainder when h is divided by 10?
7
Let t be 0/(-1 + 15/5 + -4). Suppose t = -12*m + 23*m - 253. Calculate the remainder when m is divided by 2.
1
Let o = -375 - -377. Suppose -3*g + 62 - 11 = -3*n, -3*n + 59 = o*g. What is the remainder when 64 is divided by g?
20
Let f(b) = b**3 + 12*b**2 + 14*b + 53. Suppose 4*i = -3*x + 62 + 63, 2*i - 70 = -4*x. Calculate the remainder when f(-10) is divided by i.
26
Let p be 35/9 - (-38)/342. Let g be p - (10/(-5) + -16). Suppose -g*q - 408 = -28*q. Calculate the remainder when q is divided by 14.
12
Let z = 1 - -4. Suppose 2*u - 490 = 2*d, 2*u + 18 = -4*d + 496. Suppose 0 = u*n - 236*n - 133. Calculate the remainder when n is divided by z.
4
Suppose 2100 = -556*r + 577*r. What is the remainder when r is divided by 76?
24
Let m(s) = 89*s + 15. Let r be m(1). Suppose -2*j = -10*j + r. What is the remainder when 113 is divided by j?
9
Let h(o) = o - 6. Let f be h(-17). Let k = 70 + f. Calculate the remainder when 93 is divided by k.
46
Let j(l) = -5*l**2 + 6*l - 12. Let c be j(3). Let r = -39 - c. Suppose 5*z + 5*v - 165 = r, 6*z - z - 156 = -2*v. What is the remainder when z is divided by 11?
8
Suppose 5 = -5*f + 5*j, 8*f - 3*f - 1 = -j. What is the remainder when 2 - -16*15/6 is divided by (f - 22)*12/(-24)?
9
Suppose -4*w = 4*x + 368, 3*w = -0*w + 3*x - 264. Let s = 112 + w. What is the remainder when 52 is divided by s?
8
Suppose -4*b + 1232 = 3*y - 7*y, -952 = -3*b - 4*y. Suppose -7*t = -19*t + b. What is the remainder when t is divided by 25?
1
Suppose -5301 = 16*n - 109*n. What is the remainder when n is divided by 1?
0
Suppose 1351 = 4*s - 229. What is the remainder when 13/78 + s/6 is divided by 19?
9
Let f be (-2 - 1)/(4 + (-26)/6). Suppose 12*z - f*z - 3 = 0, 4*j - 3*z - 85 = 0. Calculate the remainder when 87 is divided by j.
21
Let w be (4 - (-9)/(-2))*0/1. Suppose w*f - 5*f + u = -68, 0 = -3*f + 2*u + 45. Calculate the remainder when 43 is divided by f.
4
Let b(y) = 3*y + 2. Let h be b(-3). Let x be (h/((-105)/(-12)))/((-2)/10). Calculate the remainder when (1 - 0)/(4*x/1952) is divided by 31.
29
Suppose -33*j = -3944 + 886 - 1265. What is the remainder when 26198 is divided by j?
129
What is the remainder when (114/38 + 1 + -3)*1629 is divided by 32?
29
Let i be 7 - 32 - (0 + -2 + 0). Let u = -8 - -45. Let d = u + i. Calculate the remainder when 49 is divided by d.
7
What is the remainder when 657 is divided by 23 + (-20 - 16) - -97?
69
Suppose -536 = 5*z - 9*z. Suppose z = u - 4*f, 4*u + 7*f - 498 = 4*f. Calculate the remainder when u is divided by 32.
30
Suppose 3*t = -5*o + 178, -3 + 7 = -t. Let b = o + -42. Calculate the remainder when 57 is divided by (0 + b + -2)*-5.
27
Let d = -54 - 5. Calculate the remainder when 30 is divided by (-8)/(56/d) - 6/14.
6
Let a(g) = -g**3 - 90*g**2 - 339*g + 466. Suppose 2*s - 13 = s. Calculate the remainder when a(-86) is divided by s.
10
Let r be -4 - -6 - 2 - -10. Suppose -5*p + 56 = 3*i, 14*p + i = r*p + 42. Calculate the remainder when 23 is divided by p.
3
Let x = -233 - -278. Suppose -40*p + 45*p - 775 = 0. Calculate the remainder when p is divided by x.
20
Suppose 88*c + 13*c - 4817 = 1748. Calculate the remainder when 1229 is divided by c.
59
Let k(p) = 22*p + 30*p - 94 - 71*p. What is the remainder when 32 is divided by k(-6)?
12
Suppose 3*f - 20 = -2*f. Suppose -11*u + 0*u = 18*u. Suppose 0 = -2*h + f*b + 46, u = b + b. What is the remainder when h is divided by 4?
3
Suppose 9*k + 13 = 2965. Suppose -k = -28*z + 36. Calculate the remainder when 51 is divided by z.
12
What is the remainder when (-2)/8 - 5930/(-40) is divided by 1/4 + (-8910)/(-120)*(-1)/(-3)?
23
Calculate the remainder when 145 is divided by (33/(-18) + 9)*6.
16
Let b(z) = -8*z - 4. Let m be b(-1). Suppose v - 21 = m. Calculate the remainder when 36 is divided by v.
11
Let y(c) = -29*c + 2*c - 17862*c**2 + 86 + 17861*c**2. What is the remainder when 193 is divided by y(-29)?
25
Let v = 377 + -577. Let m = -74 - v. Suppose 0 = -4*x - 42 + m. Calculate the remainder when 54 is divided by x.
12
Suppose -m + n = 5*n + 22, -3*m + 5*n - 15 = 0. Let y = -7 - m. Suppose 4*c + 122 = k, 4*k + y*c = c + 524. What is the remainder when k is divided by 33?
31
Suppose 0 = 5*z + 5*g - 70, 4*z + 3*g = 7*z - 12. What is the remainder when 2055 is divided by z?
3
Let y(u) = -u**2 + 1542. Let i = 67 - 47. Calculate the remainder when y(35) is divided by i.
17
Let g(l) = -166*l + 203. What is the remainder when g(0) is divided by 77?
49
Let l be (-60)/160 - 915/(-8). Suppose -4*a = -2*a - l. What is the remainder when 624 is divided by a?
54
Let m = 71 - 10. Let q = 177310 + -177287. Calculate the remainder when m is divided by q.
15
Let c be (44/(-198))/(((-2)/18)/1). Suppose -c - 8 = -2*w. Let q(d) = d. Calculate the remainder when q(w) is divided by 5.
0
Suppose -54*l - 73*l + 2413 = 0. What is the remainder when 44 is divided by l?
6
Let v = 7354 - 7140. What is the remainder when v is divided by 101?
12
What is the remainder when 166 is divided by 56/(-42)*10*(-15)/20?
6
Let c(g) = 47*g + 273. What is the remainder when 135 is divided by c(-4)?
50
Let n(r) be the first derivative of r**3 - 11*r**2/2 + 71*r + 304. What is the remainder when n(11) is divided by 11?
5
Let x(b) = b**2 - 6*b - 5. Let g be x(5). What is the remainder when 4/g - 247/(-5) is divided by (-2)/((-4)/22) - (-52)/26?
10
Let x(c) = 129*c - 2 - 136*c + 2*c**2 + 0. Let g be x(5). Suppose -k + 8 + g = 0. What is the remainder when 37 is divided by k?
16
Let v(y) = -7*y**2 + 77*y + 103. Let p(i) = -i + 1. Suppose f + 5*u = 3 - 27, -5*u - 36 = 4*f. What is the remainder when v(12) is divided by p(f)?
4
Let r = -298 - -325. Suppose 2*i + 48 = 256. What is the remainder when i is divided by r?
23
Let t = -664 - -676. Suppose 4*a + 83 = 5*w, t*a - 9*a = 3*w - 51. Let x = 170 + -83. Calculate the remainder when x is divided by w.
12
Let o(j) = -6*j**3 - 7*j**2 - 4*j. Let f be o(-3). Let s = f - 90. What is the remainder when s is divided by 18?
3
Suppose -f = -3*f + 34. Suppose -3*y + 8*r - f = 4*r, -4*y - 5*r = 2. What is the remainder when 141 is divided by 23 - 5*(4 + y)?
15
Suppose 1 + 1 = m. Suppose 0 = m*p + 2*p - b - 136, -4*p + 5*b + 136 = 0. Let t(i) = 300*i + 1934. Calculate the remainder when t(-6) is divided by p.
32
Suppose 3540 = -6*u + 40*u - 14*u. What is the remainder when 535 is divided by u?
4
Let c be (-10)/(-4 - -9) + 4. Suppose 2*o = 3*h - c*h - 12, -5*h = 4*o - 4. What is the remainder when 11 is divided by (-1)/o - 30/(-8)?
3
Suppose -50 = -3*k + 13*k. What is the remainder when (-1)/(-4 - (-211)/53) is divided by (-36)/6*k - 3?
26
Suppose -3*o + 191 + 50 = f, -5*o - 3*f + 403 = 0. Calculate the remainder when 251 is divided by o.
11
Let u(a) be the second derivative of a**4/6 - 5*a**3/6 + 5*a**2/2 + 10*a. Let v = 566 + -538. What is the remainder when u(-6) is divided by v?
23
Let s(r) = 13*r - 536. What is the remainder when 687 is divided by s(52)?
127
Let f = 23 + -13. Suppose 75*t - 59*t - 6848 = 0. What is the remainder when t is divided by f?
8
Let h = -196 + 196. Suppose 13