t z be 0/(2 - u) - (1 + 62). Let i = z - -113. What is the remainder when i is divided by 9?
5
Let x(n) = -668*n + 10714. Suppose 4*t + 72 = s, -4*s + 193 = -2*t + 5*t. What is the remainder when s is divided by x(16)?
0
Let j(m) = m**3 + 27*m**2 - m - 31. Let q be j(-27). Calculate the remainder when (7782/4)/(-5 + (-26)/q) is divided by 65.
62
Let v = 1221 - 1199. What is the remainder when 142 is divided by v?
10
Suppose 17*p = 8*p + 1287. Let k = -279 - -300. What is the remainder when p is divided by k?
17
Suppose -38 = -3*l - 4*b, -6*l - 4*b = -l - 66. Let o = 1168 + -92. What is the remainder when o is divided by l?
12
Let r = 30 + 108. Suppose 4*s - s - r = 0. Let n(z) = 40*z + 208. Calculate the remainder when s is divided by n(-5).
6
Suppose 4*w - 63 = 77. Let c(g) be the third derivative of g**5/30 + g**4/8 + 103*g**3/6 - 43*g**2. What is the remainder when c(0) is divided by w?
33
Calculate the remainder when 54 is divided by (-37)/((48/6)/(-8)).
17
Let j = -9062 + 9155. Calculate the remainder when 835 is divided by j.
91
Let m(g) = g**2 + 3. Let w be m(0). Suppose -273 = -0*x - 2*x + 5*f, -x + w*f = -134. Calculate the remainder when x is divided by 30.
29
Suppose 79*k = 84*k - 2*n - 972, 2*k + n = 387. What is the remainder when 15130 is divided by k?
192
Let y = 38 + -8. What is the remainder when 5 + ((-7)/7 - -113) is divided by y?
27
Suppose -25 = 1053*z - 1057*z - 5*s, 0 = -3*z - 3*s + 18. Let p = -4 + 30. What is the remainder when p is divided by z?
1
Suppose 5*j + 5*d - 3*d - 60 = 0, -4*d = 20. What is the remainder when 43 is divided by j/(-35)*5 - (-38 + 1)?
8
Suppose 4*p - 24 - 4 = 0. Suppose u - w = p, 4*u + 5*w + 0 = -17. Calculate the remainder when ((-91)/(-26))/(u/4) is divided by 5.
2
Suppose 0 = -39*z + z + 646. Suppose -9 = -x + 4*m, -4*x + 4*m + 77 = z. What is the remainder when 74 is divided by x?
6
Let o = 484 + -288. Suppose -t - 4*t = -3*i + 157, -4*i + 4*t + o = 0. What is the remainder when 120 is divided by i?
32
Let q(z) = z**3 - 24*z**2 - 23*z - 24. Suppose 2*x - 5*r = 75, -5*x + 2*r + r = -140. What is the remainder when q(x) is divided by 14?
12
Suppose 2*i = -0*i + 18. Let l(k) = k**3 + 19*k**2 + k + 10. Let p be l(-18). Suppose -p - 55 = -7*f. What is the remainder when f is divided by i?
8
Let d = -501 + 515. Calculate the remainder when 209 is divided by d.
13
Let f = -1 + 82. What is the remainder when 106 is divided by 2934/f + 3/(108/(-8))?
34
Let x be ((-95)/(-25) + -3)/((-4)/(-80)). Let t = -31 + 43. What is the remainder when -9*x/(-360) - 556/(-10) is divided by t?
8
Suppose 2*f + 59 = q, 14*f + 1200 = 22*q + 19*f. What is the remainder when 210 is divided by q?
45
Suppose -2*k - 18 = -20. Let b(f) = 179*f**3 + 5*f**2 - 5*f. What is the remainder when b(k) is divided by 60?
59
Let w be 0 - (38 + -34 + (-1 - -35)). Let t(o) = o**2 + 38*o + 30. What is the remainder when 144 is divided by t(w)?
24
Suppose 5*z - 2 + 17 = 0, 5*k - 172 = -z. Suppose -5*p = -3*q + 26, q - 3*p - 2*p = 2. Suppose 0 = 5*y - q - 33. What is the remainder when k is divided by y?
8
Let g(f) = -110*f - 682. What is the remainder when g(-8) is divided by 42?
30
Let h(z) be the second derivative of 13*z**3/6 + 56*z**2 - 4*z + 2. What is the remainder when 155 is divided by h(-6)?
19
Let j = 66 - 60. Suppose -20 = j*k + 22. Let z(q) = -q**2 - 7*q + 3. Calculate the remainder when 5 is divided by z(k).
2
Let l = 12100 + -11471. Calculate the remainder when 1917 is divided by l.
30
Suppose -7436 = 505*d - 531*d. Calculate the remainder when d is divided by 141.
4
Suppose 8*p + 4 = -140. Calculate the remainder when 73 is divided by (-4 + (-78)/p)*75.
23
Let f = -10647 - -14818. Calculate the remainder when f is divided by 110.
101
Suppose -27 + 11 = -4*l. Suppose 5*d = -4*i + 4*d + 3075, l*i = -4*d + 3060. Let j = i - 473. Calculate the remainder when j is divided by 50.
47
Suppose 115 + 5 = 4*k. Suppose -3*z + 2*f = 271 + 140, 0 = 3*z + 3*f + 426. Let g = 198 + z. Calculate the remainder when g is divided by k.
29
Let g be -3*-3*3/27. Suppose -5*i = g - 166. Let f = -50 + 68. What is the remainder when i is divided by f?
15
Let o = -30 + 51. Let t(l) = -l**3 + 7*l**2 - 4*l - 3. Let v be 1*11/(11/6). Calculate the remainder when o is divided by t(v).
3
Let k(b) = -b + 4. Let q = -20 + 21. What is the remainder when 4277/42 - q/(-6) is divided by k(-11)?
12
Suppose 802 = 27*c - 2305 - 484. What is the remainder when 234 is divided by c?
101
Suppose 7*h + 206 = k + 5*h, -3*h + 211 = k. Let a = k + -110. Let s = -18 + 44. Calculate the remainder when a is divided by s.
20
Let g(z) = -2*z**2 + 34*z + 8. Let l = 152 + -63. Let w = l - 72. What is the remainder when 182 is divided by g(w)?
6
Let o = -57 - 0. What is the remainder when 96 is divided by (-1 + 0)*2 - (o - -30)?
21
Let r = -14118 - -14155. Let u be (-2)/(-5) - (-348)/30. Suppose 2*n - u = 8. What is the remainder when r is divided by n?
7
Suppose 3*j - 1840*y = -1845*y + 27, -2*j = -5*y - 43. What is the remainder when 1016 is divided by j?
8
Let t = 1291 - 1277. What is the remainder when 3805 is divided by t?
11
Let f(y) = -y**2 - 7*y + 45. Let b be f(-12). What is the remainder when 21 is divided by 87/7 - (-1 - b/35)?
8
Suppose -4*h + 140 = h. Let s = 223 + -247. Let g = s - -39. Calculate the remainder when h is divided by g.
13
Let i = -4139 - -4366. What is the remainder when 454 is divided by i?
0
Let w(n) = 6*n**2 - 60*n + 5. Let b be w(10). Calculate the remainder when ((-27500)/24)/(-11) + b/(-30) is divided by 34.
2
Let c(n) = 47*n**2 + 78*n + 26. What is the remainder when c(3) is divided by 38?
37
What is the remainder when 107 is divided by -7 - (-391 - -17)/11?
26
Let y = 719 - 446. Calculate the remainder when 553 is divided by y.
7
Suppose 0 = 4*h + 4*j - 188, 2*j + 1 - 3 = 0. Let r(z) = 7*z**2 + 10*z - 10. Calculate the remainder when r(-6) is divided by h.
44
Let k be 3/(-36)*6*-1110. Suppose 0 = 7*h - k + 142. Calculate the remainder when h is divided by 1*-3*10/(-6).
4
Let i = -153 - -156. Calculate the remainder when (-3)/i*3 - (-5 + -85) is divided by 11.
10
Let h be 2 - (0 - 1) - 0. Suppose 0 = h*y + y - 40. Suppose -s - x + 24 = -3, -5*x - 33 = -s. Calculate the remainder when s is divided by y.
8
Suppose -2*g + 29*m = 30*m - 181, 0 = -g + 3*m + 115. Calculate the remainder when 14191 is divided by g.
91
Suppose 2*c - 5*c = 4*r - 65, 3*r + 32 = 2*c. Suppose 3*y - c = 3*m - 85, -m + 2*y = -17. Calculate the remainder when m is divided by 10.
7
Let n = -5284 - -5341. Calculate the remainder when 643 is divided by n.
16
Suppose -5*m - 46 = -111. Suppose -3*y = -3*j + 5*j + m, 0 = 4*j + 3*y + 17. Calculate the remainder when (0 + (-4)/j)*(-21)/(-6) is divided by 3.
1
Let v be (-2)/(-5) + 148/5. Let h = v - -7. What is the remainder when h is divided by ((-1)/(-3))/(3/90)?
7
Let f(p) = -14*p + 4. Let l(h) = 197*h - 550. What is the remainder when f(-4) is divided by l(3)?
19
Let d be 69*(4/(-2))/(-2). Let u = -53 + d. Calculate the remainder when 62 is divided by u.
14
Let c(n) = -n**2 + 2*n + 1. Let t be c(3). Let m = 17983 + -17979. What is the remainder when ((-2)/t)/(1/7) is divided by m?
3
Let n(k) be the third derivative of k**5/60 + k**4/2 + 15*k**3/2 - 14*k**2 - 4. What is the remainder when 97 is divided by n(-11)?
29
Let l(p) be the third derivative of p**5/60 + 11*p**4/24 + 4*p**3/3 + 83*p**2 + 2. Let t = 26 + -39. Calculate the remainder when l(t) is divided by 13.
8
Suppose -213*j + 287680 = -95933. What is the remainder when j is divided by 64?
9
Suppose 5*n - 31 + 121 = 0. Suppose 4*u - 365 = -u - 2*t, 2*u = -3*t + 157. Let j = u + n. Calculate the remainder when j is divided by 27.
26
Suppose 22 + 26 = l. Suppose -3*g + 4*z + 304 = 2*g, -l = -g + 4*z. Let o = g + -20. Calculate the remainder when o is divided by 18.
8
Suppose -2*g + 306 = g + 3*d, -204 = -2*g - 5*d. Let z(m) = m**2 - 39*m + 27. Calculate the remainder when g is divided by z(0).
21
Suppose 795 = -a - 3*a - 3*k, -a + 2*k = 196. Let m = -196 - a. Calculate the remainder when (-16)/(-3) + 3/(-9) is divided by m.
1
Let j(k) = k**3 + 13*k**2 + 12*k + 4. Let f be j(-12). Let b = 1271 + -1261. Calculate the remainder when 56/f - 0/(-1) is divided by b.
4
Suppose 1