en n is divided by 23?
20
Let a = 680 - 678. Suppose -a*m = l - 4, 18*m + 6 = -l + 14*m. Calculate the remainder when 47 is divided by l.
5
Suppose -84 = 8*n - 5*n. Let j = 39 + n. Let i = 1823 - 1820. What is the remainder when j is divided by i?
2
Let h(z) = -z**2 + 5*z + 17. Let j be h(7). Suppose 2*k - 50 = -y, 3*y - 102 = -j*k - k. Let w = 30 - k. Calculate the remainder when 16 is divided by w.
4
Suppose -35*r = -37*r. Suppose 26*c - 1386 - 1292 = r. Calculate the remainder when c is divided by 30.
13
Let m be 41 + (135/(-81))/((-1)/(-3)). Let u be 0/((4 + -10)/(-3)). Calculate the remainder when u/4 + 0 - (-5 - m) is divided by 14.
13
Let r(l) = -21*l**3 - l. Let u(y) = -408*y + 37752. Calculate the remainder when u(92) is divided by r(-1).
18
Let l = -120 - -122. Suppose 15*g - 11*g - 148 = 0. Calculate the remainder when g is divided by (-3)/(-4) + (-82)/(-8) + l.
11
Suppose 2877 = -10*z + 337. Let s be 12/(-30) + z/(-10). Let u = s + -3. What is the remainder when 195 is divided by u?
19
Suppose 1473 - 353 = 8*n. Calculate the remainder when n is divided by 9.
5
Let k be 2/9 - 25*4/(-36). Suppose 1750 = 7*m + k*m. Suppose 0 = 7*f - 11*f + 64. What is the remainder when m is divided by f?
15
Let j = 494 + -480. Suppose 9*w - j*w = -3*d + 772, -d - 5*w = -284. What is the remainder when d is divided by 7?
5
Suppose 5*a - 618 - 522 = -2*l, -5*a + 3*l + 1140 = 0. Suppose -4*n + g + a = -g, 0 = 5*g. Let s = -2380 - -2410. What is the remainder when n is divided by s?
27
Suppose 2*m + 5711 - 5815 = 0. Calculate the remainder when 186 is divided by m.
30
Let i = 6 - 2. Let u = -14 + 18. Suppose u*k - i*n - 72 = 0, -5*k + 2*n + 110 = n. What is the remainder when 68 is divided by k?
22
Let o be (-7)/(21/(-6)) + (0 - -55). Let u = -37 + o. What is the remainder when 29 is divided by (2/(-4)*-2)/(2/u)?
9
Let p = -629 + 650. Suppose -318 = -p*o + 144. Suppose 0 = 5*f - 2*f - 90. What is the remainder when f is divided by o?
8
Suppose 2*w = 2*z + 82, 3*z = -5*w + 189 + 40. Let c = -15848 - -15863. Calculate the remainder when w is divided by c.
14
Suppose 17*z - 24*z = -38220. What is the remainder when -1 + z/22 + (-60)/330 is divided by 50?
47
Suppose 1452 = 2*l - 4*s, s = 4*l - 1079 - 1825. What is the remainder when l is divided by 66?
0
Suppose 26*w - 1323 = -23*w. Suppose -8*i + 27 = -7*i - b, -2*b = i - w. What is the remainder when 188 is divided by i?
26
Let n = 4 + -8. Let a(j) = j**2 + 5. Calculate the remainder when (7 + -11 - -9 - 67)/(1 + -2) is divided by a(n).
20
Suppose -3*x + 918 = -3*q + 186, 2*x = 3*q + 491. Calculate the remainder when x is divided by 206.
35
Suppose -3*r + 5*g + 100 = 0, 3*r - 92 = 16*g - 15*g. Suppose r = -103*b + 106*b. Calculate the remainder when 38 is divided by b.
8
Suppose 118 = 4*o - 2*o. Let k(j) = -j**2 + 16*j - 38. Suppose -x - 1 + 8 = 2*n, 0 = 4*x - 2*n - 48. What is the remainder when o is divided by k(x)?
8
Suppose 4*h - 2*g - 5352 = 0, -11*h = -15*h - 4*g + 5376. Suppose -4*a - 2*r + h = 0, 2*r = 4*a + 7*r - 1352. What is the remainder when a is divided by 85?
78
Let z(b) = 2*b**2 + 24*b - 82. What is the remainder when z(7) is divided by 60?
4
Let b(r) = -2*r**2 - 3*r. Let d be b(-2). What is the remainder when (d/2)/(2/(-128)) is divided by 2/(-11) - 3213/(-187)?
13
Let y = 7 + -10. Let o be (42/(-28))/(y/16). Suppose 0*w + o*w = 160. Calculate the remainder when w is divided by 3.
2
Suppose 16 = 4*i + 2*x, -5*i - 2*x + 5 = -16. Suppose 4*z - 2*a + i*a - 29 = 0, -25 = -3*z + a. Let w = 10 + -6. Calculate the remainder when z is divided by w.
0
Let u = 3512 + -3287. Calculate the remainder when u is divided by 46.
41
Suppose 23*z - 114 = 300. Suppose z*s - 906 - 1092 = 0. Calculate the remainder when s is divided by 43.
25
Let v = 3760 - 3377. Calculate the remainder when v is divided by 206.
177
Let r be (-3)/36*4*-3. Calculate the remainder when 26 is divided by (r + 16)/((-2)/(-2)).
9
Calculate the remainder when (2/3)/((-28)/(-55398)) is divided by 4.
3
Let w = -11 - -81. Let x = -4 + w. Let m = x - 49. Calculate the remainder when m is divided by 9.
8
Suppose 194*d + 34741 = 38815. Let i(s) = 2*s**3 - 2*s**2 - 4*s - 2. Calculate the remainder when i(4) is divided by d.
15
Let y = -45 + 47. Suppose 5*l - 56 = -y*q, 25 = q + l + 3*l. Calculate the remainder when 160 is divided by q.
28
Let a(v) = -1185*v - 2307. What is the remainder when 7117 is divided by a(-2)?
61
Let o(k) = k**2 - 12*k + 4. Let c be 100/8 - 10/20. Calculate the remainder when 17 is divided by o(c).
1
Let g(l) = l**3 + 3*l**2 - 10*l + 7. Let d be g(-5). Suppose d = 5*x + 32. Calculate the remainder when 2/5 + ((-1172)/(-20) - x) is divided by 22.
20
Let w = -808 - -2041. Suppose w - 11652 = -23*b. Calculate the remainder when b is divided by 19.
16
Suppose -2*o - 3*a = 254, 13*a - 2 = 12*a. Let k = o - -310. What is the remainder when k is divided by 13?
11
Let v(i) = i**3 + 7*i**2 - 384*i - 39. What is the remainder when v(-18) is divided by 36?
33
Suppose 0 = 7*v + 10 - 10. Suppose 4*j + 5*s = -0*j - 17, -3*j + 4*s + 26 = v. Calculate the remainder when 71 is divided by 11 - (-3)/j*10/15.
11
Suppose -6075 - 1476 - 33021 = -138*k. What is the remainder when k is divided by 95?
9
Let v = -4223 + 4277. What is the remainder when v is divided by 13?
2
Let k = -28877 - -29451. Calculate the remainder when 1836 is divided by k.
114
Calculate the remainder when 474 is divided by (-8)/(((-330)/(-55) - (4 - 0))/(-22)).
34
Suppose 5*f + 233 - 1648 = 0. Calculate the remainder when f is divided by 136.
11
Let y(x) = 638*x**3 - 3*x**2 + 2. What is the remainder when y(2) is divided by 13?
11
Let k(a) = -3*a - 14. Let n be k(-13). Suppose 0*g + z + n = 2*g, 2*z + 24 = 2*g. Calculate the remainder when 23 is divided by g.
10
Let f be 4 + (-5 + 3/2)*(0 - -4). Let j(k) be the third derivative of -5*k**4/24 - 5*k**3/6 - k**2. Calculate the remainder when 131 is divided by j(f).
41
Suppose u + 3 = -3*x, -5*u + 3*x = -3*u - 12. Suppose 2*t - 6 = 4*t. What is the remainder when u - (-24 + (t - -6)) is divided by 7?
3
Suppose -p = 4*z - 371, -2*z = -p - 125 - 62. What is the remainder when 194 is divided by z?
8
Let o(q) = -3*q**3 - 5*q**2 - 614*q - 1225. Suppose -5*i + d + 7 + 10 = 0, -31 = -4*i - 5*d. Calculate the remainder when o(-2) is divided by i.
3
Let t be (-89)/2 + 3/2. Let v = 30 + t. Let y(x) = -x**3 - 13*x**2 - 3*x - 18. Calculate the remainder when 60 is divided by y(v).
18
Let u = -2427 - -2459. Calculate the remainder when (-1 + -3 + 3)*3*-223 is divided by u.
29
Suppose 4*y - f = 59, 5*y = 5*f + 21 + 49. Let k(b) = -3*b + 6. Let l be k(-4). What is the remainder when 795/l - 3/18 is divided by y?
14
Suppose -2*l + 5 = -3*s - 14, -s = -3*l + 18. Suppose 0 = 2*c, l*u + 0*u = c + 275. Calculate the remainder when u is divided by 8.
7
Suppose 4*k - 4*a - 3932 = 0, 22*k - 23*k + 1004 = -4*a. What is the remainder when 1952 is divided by k?
0
Let u(h) = -13*h**3 + 20*h**2 + 11*h + 1. Calculate the remainder when u(-3) is divided by 18.
13
Let u = 23539 + -23524. Calculate the remainder when 1805 is divided by u.
5
Let s = -2224 - -1547. Let p = s - -875. Calculate the remainder when p is divided by 50.
48
Let a(l) = -l**2 - 40*l + 9. Let s be a(-40). Suppose s*u + 18*u = 5130. What is the remainder when u is divided by 52?
34
Suppose 0*u + 8*u = 16. Suppose -u*l - d + 9 = -4*d, -2*l + 2*d + 14 = 0. Let x = -48 - -81. Calculate the remainder when x is divided by l.
9
Suppose 0 = -8*l + 178 - 10. Suppose 16*c - 13*c - 246 = 0. What is the remainder when c is divided by l?
19
Suppose 0 = -4*n + 7 + 5, 4*p - 4*n - 96 = 0. What is the remainder when p is divided by -5*(-2)/10 - -9?
7
Let l(p) = 40*p**2 - 2237*p - 153. What is the remainder when 2 - (3 + -1 + -114) is divided by l(56)?
9
Suppose 0 = 96*u - 148*u + 6500. Calculate the remainder when 477 is divided by u.
102
Let c(s) = -113*s - 476. What is the remainder when 346 is divided by c(-5)?
79
Suppose 200 = -17*j - 3*j. What is the remainder when ((-5)/j)/((-3)/(-174)) is divided by 13?
3
Let h(w) = 423*w**3 - w**2 + 2*w + 2. Let m be h(-1). Let c = 753 + m. Calculate the remainder when c is divided by 11.
10
Let f = -739 + 387. Let i = -231 - f. Calculate the remainder