 is the remainder when 89/((-3)/(-2) + -1) is divided by z?
43
Suppose 11*k = 6*k + 195. What is the remainder when k is divided by 55 + -54 - (2/(-2) - 2)?
3
Suppose -2*w + 18 = -4. Calculate the remainder when ((-45)/15)/((-18)/(-36) + 83/(-163)) is divided by w.
7
Suppose -36*q = -44*q + 208. Calculate the remainder when 623 is divided by q.
25
Let d = 53 - 53. Suppose 2*s - r = 5*s - 4, d = 2*s + 2*r. Suppose -s*t = -4*t + 6. Calculate the remainder when 10 is divided by t.
1
Suppose 556278 = 1132*t - 994*t. Calculate the remainder when t is divided by 32.
31
Let k = -35314 - -35431. Let p(q) = -q**2 - 8*q + 1. What is the remainder when k is divided by p(-7)?
5
Let b = -279 + 273. Calculate the remainder when 201*(40/(-16) + (-17)/b) is divided by 20.
7
What is the remainder when 554 is divided by -6 + -5 + 548/1?
17
What is the remainder when 1371 is divided by (-197)/(-9) + (-90)/(-81) + -1 + 3?
21
Suppose -7*y = 738 - 178. Let s be (-18)/5*y/(-12). Calculate the remainder when (s/(-15))/((-2)/(-15)) is divided by 2.
0
Suppose 381 = 5*v + 4*y - 54, 2*v - 3*y = 174. Calculate the remainder when 177 is divided by v.
3
Suppose -6*n + 11*n + 31 = a, -3*n = 5*a - 267. Calculate the remainder when a is divided by 7.
2
Let h = -292 + 447. Suppose -h*y + 126 = -148*y. Calculate the remainder when 68 is divided by y.
14
Let s(k) = 25*k**2 + 6*k + 10. Suppose -1807 = -98*i + 55. Calculate the remainder when s(-2) is divided by i.
3
Let z(s) = s**3 - 7*s**2 - 14. Let o be z(7). Let y = o - -29. Suppose -3*c + 119 = 38. What is the remainder when c is divided by y?
12
Suppose 0 = -3*k + 5*k - 80. Let d = -24446 + 24639. Calculate the remainder when d is divided by k.
33
Let i(h) = -17*h + 114. Let x be i(0). Let s = -96 + x. What is the remainder when 33 is divided by s?
15
Let w(h) = -h**2 - 111*h - 1473. Calculate the remainder when 743 is divided by w(-17).
118
Let m(g) = -14*g**3 - 67*g**2 + 6*g + 13. Suppose -2*a + 2*s - 5*s - 4 = 0, 5*a + 4*s = 4. Calculate the remainder when m(-5) is divided by a.
2
Let c = -309 + -14. Let t be ((-1362)/9 - 1)*-3. Let y = c + t. Calculate the remainder when y is divided by 27.
26
Suppose 2719 = 5*j - 3*a, 5*j + 72*a = 69*a + 2701. Calculate the remainder when 1099 is divided by j.
15
Let g = -21 + 55. Let x(m) be the third derivative of m**4/6 - 13*m**3/3 + 11*m**2 + 2. Calculate the remainder when g is divided by x(11).
16
Let p be -2*(-4458)/9*(-6)/8. Let i = p + 760. What is the remainder when 82 is divided by i?
14
Suppose 5*v + 3*l = 31 + 21, 0 = -2*v - l + 21. Calculate the remainder when 3077 is divided by v.
8
Suppose -308 = 3*d - 2*z, 0*z - 316 = 3*d - 4*z. Suppose 3*p - 130 = u, u + 144 + 28 = 4*p. Let q = p - d. What is the remainder when q is divided by 49?
44
Let b(k) = -k + 11. Let t be b(4). Suppose 5 = -2*c + t. Suppose -5*s + 13 = -v, v + 3*s = 2*v + 7. What is the remainder when v is divided by c?
0
Let r = -2267 - -2300. Calculate the remainder when 131 is divided by r.
32
Suppose 0 = 58*v - 59*v + 12. Suppose 6*m = -v + 60. Calculate the remainder when 30 is divided by m.
6
Let g(q) = 6*q**2 - 7 - q**2 + 13*q**2 - 7*q - 13*q**2. Let z = -92 - -172. What is the remainder when z is divided by g(-2)?
26
Suppose -9*n + 13*n - 2*s = 698, 3*n - 5*s - 520 = 0. What is the remainder when 178 is divided by n?
3
Suppose 0 = 6*u + 909 + 333. Let g = u - -258. Calculate the remainder when g is divided by 13.
12
Let u = -903 - -1222. Suppose 0 = 5*n - u + 114. Calculate the remainder when 102 is divided by n.
20
Let f(h) = h**3 - 61*h**2 + 332*h + 241. Calculate the remainder when f(59) is divided by 90.
87
Let x be 413/(-2) - (-4)/(-40)*5. Let s = x - -221. What is the remainder when s is divided by 7?
0
Calculate the remainder when 98 is divided by 9/(33/570 - 14/(-140)).
41
Let j(l) = 3*l**2 + 53*l - 690. What is the remainder when j(-30) is divided by 55?
35
Suppose 564*i - 563*i - 5 = 0, 5*z - 175 = -3*i. What is the remainder when 1443 is divided by z?
3
Suppose 2*k + 1702 = 4*l, 0 = -5*k - 2*l + 5*l - 4227. Let g = -829 - k. Calculate the remainder when 586 is divided by g.
12
Suppose a - 7 = 1. Let g be ((-1)/(9/(-30)))/(a/(-12)). Calculate the remainder when 65 is divided by ((-22)/4)/(g + 116/24).
32
Let w = 1464 + -1394. What is the remainder when 166 is divided by w?
26
Let j(y) = 15*y + 92. Let h be j(-6). Suppose h*n + 496 = 18*n. What is the remainder when 35 is divided by n?
4
Suppose 12680 = 602*m - 34878. What is the remainder when 16507 is divided by m?
75
Let v = 38117 - 38093. Let t(u) = 14*u - 6. Calculate the remainder when t(7) is divided by v.
20
Let a(n) = 3*n**2 + 31*n - 19. Let w be a(-19). Calculate the remainder when (-4)/(0 + -1 + w/494) is divided by 15.
14
Let x = -209 - -232. Let c = x - -240. Calculate the remainder when c is divided by 11.
10
Let o = -5153 + 5171. Calculate the remainder when 98 is divided by o.
8
What is the remainder when (2/4)/(7/(-14)) - 21015/(-45) is divided by 36?
34
Suppose 0 = -35*o + 101*o - 460 - 30494. What is the remainder when o is divided by 44?
29
Suppose 372 = r + h, 5*h = -448*r + 452*r - 1524. What is the remainder when r is divided by 124?
4
Let w = -5351 - -5385. Calculate the remainder when w is divided by 19.
15
Suppose -1 = -f, -3*l - f + 799 = -0*f. What is the remainder when 553 is divided by l?
21
Let f(p) = -12*p + 82. Let q be f(7). Calculate the remainder when 604 is divided by (q + -2 - 1)/(1/(-11)).
54
Suppose -3*w + 17 = -w + q, 0 = q - 5. Let t be w/(-3) - (-26 + 5). Let d = 73 - t. What is the remainder when 267 is divided by d?
51
Let m(c) = -67*c**3 + 2*c**2 - 7*c - 4. Let f be m(-2). Suppose 4*k = f - 510. What is the remainder when 428 is divided by k?
10
Let a(w) = -12*w**3 - 3*w**2 - 6*w - 5. Let s be a(-3). What is the remainder when 49 is divided by (s/(-15))/(8/(-12))?
18
Let m(f) be the second derivative of -f**5/20 + 3*f**4/4 - 5*f**3/6 - 8*f**2 + 3*f - 4. What is the remainder when 6/7*(-2 - -37) is divided by m(8)?
6
Suppose -2*w = 24*w - 78. Suppose w*x - 863 = -413. Calculate the remainder when x is divided by 52.
46
Suppose -16*s + 8952 = 40*s - 29520. Calculate the remainder when s is divided by 234.
219
Suppose -6*u + 480 = 14*u. Calculate the remainder when 182 is divided by u.
14
Let o = 17 + -5. Suppose 0 = -29*x + 2204 - 870. Calculate the remainder when 76 is divided by o/8 + x/4.
11
Let d = -7010 - -7239. What is the remainder when d is divided by 38?
1
Let x = -5311 + 5438. Calculate the remainder when x is divided by 24.
7
What is the remainder when ((-719)/(3/1 + -2))/(25 + -26) is divided by 62?
37
Let t = -228 + 125. Let g = t - -158. Calculate the remainder when g is divided by ((-21)/(-2))/((-15)/(-40)*4).
6
Suppose 15*c - 41288 - 8684 = 22433. Calculate the remainder when c is divided by 210.
207
Suppose -4*z + 164 = -5*b + 781, 0 = -3*z + 4*b - 463. Let r = z + 343. What is the remainder when r is divided by 49?
43
Let d = -30 - -35. Suppose 3*p = -c + 3 + 5, d*p - 15 = -2*c. Suppose -r - p = -43. Calculate the remainder when r is divided by 23.
19
Suppose 8 = 4*n - 3*h - 4, 3*h + 12 = -2*n. Suppose 2*k + 17 + 73 = n. What is the remainder when 29 is divided by (k/(-6))/(9/12)?
9
What is the remainder when (-5)/((-5)/8) + (2494 - 82) is divided by 173?
171
Let x = -958 + 963. Let f = 10 + -8. Suppose 2 + f = j. What is the remainder when x is divided by j?
1
Suppose -r - 43 = -i - 0, 0 = 5*i + 2*r - 180. Let w(u) = u**3 - 7*u**2 + 2*u - 7. Let t = -11 - -19. Calculate the remainder when w(t) is divided by i.
35
Let j(l) = -8*l**3 + 47*l**2 + 3*l + 18. Suppose 7*o - 2*o = 70. What is the remainder when j(5) is divided by o?
12
Suppose -54*l + 60*l = 258. What is the remainder when 16744/133 + 18/171 is divided by l?
40
Let t(x) = -x**3 - 6*x**2 + 34*x + 253. What is the remainder when 855 is divided by t(-5)?
43
Let z(p) = 27*p**2 - 866*p - 9. What is the remainder when z(44) is divided by 60?
59
Suppose 0 = 6*p - 2*p - 24. Calculate the remainder when 80 is divided by ((-1593)/(-236))/(p/40).
35
Suppose 36 = 4*n - 64. Let h be ((-267)/(-89))/((-3)/(-2)). Suppose -h*i - 3*v + n = -i, 6 = 3*v. Calculate the remainder when 92 is divided by i.
16
Let n(q) = -q**3 + 7*q**2 - 7*q + 1