pose 0*f = -8*f + u. Calculate the remainder when f is divided by 10.
3
Let f(p) = 5*p - 1. Let d = -234 + 235. What is the remainder when (5 - d) + (-248)/(-56)*7 is divided by f(4)?
16
Let n(c) = -c**3 - 2*c**2 - 5*c - 5. Suppose -2*o = 4*q - 34, -3*q - 3*q = -3*o + 111. Calculate the remainder when n(-4) is divided by o.
20
Let m be 1/((-36)/(-136)) + (-4)/(-18). Suppose 5*b - 79 = -m. What is the remainder when 74 is divided by b?
14
Let l be (-4*5/70)/((-4)/28). Calculate the remainder when 172 is divided by 178/8 - l/8.
18
Suppose -4*h + 3*h = 2*j - 2514, -1252 = -j - 3*h. Suppose -5*i = -5*w - 3205, 10*i - 12*i + j = 4*w. What is the remainder when i is divided by 10?
7
Calculate the remainder when 6/(-63) + (-341235)/(-945) is divided by 100.
61
Let z = 247 - 245. Calculate the remainder when z + (3 - 9) - -77 is divided by 37.
36
Suppose 6*k - 23 = 3*k + 4*s, 2*k - 22 = s. Let t(q) = 2*q**2 - 164*q + 974. What is the remainder when t(78) is divided by k?
12
Suppose -5*g + 7*j + 126 = -172, -3*g + 182 = -5*j. What is the remainder when 87 is divided by g?
33
Let z(x) be the second derivative of -5*x**3/6 - 44*x**2 - 19*x + 1. What is the remainder when z(-25) is divided by 14?
9
Suppose 10*m - 130 - 40 = 0. Let s = 5134 - 5094. Calculate the remainder when s is divided by m.
6
Suppose -23*u = -20*u - 843. Suppose -3*m - 3*l - 37 + 250 = 0, -3*l = 4*m - u. What is the remainder when m is divided by 14?
12
Suppose -273 = -11*a + 13. Let k = a + 8. Let u = -5 - -17. Calculate the remainder when k is divided by u.
10
Let m(i) = 19*i + 1. Let q = -3347 - -3379. What is the remainder when m(3) is divided by q?
26
Let x = -9088 + 9449. Calculate the remainder when x is divided by 73.
69
Let m = -616 - -629. What is the remainder when 1143 is divided by m?
12
Let z be 2*(48/(-14) + (-4)/7). Calculate the remainder when (-1873)/z - (-19)/(-152) is divided by 34.
30
Suppose 5*m + 3*j - 887 = 0, -3*j - 895 = -5*m + 2*j. Suppose -63*g = -66*g + 54. Calculate the remainder when (m/(-4))/(2/(-4)) is divided by g.
17
Suppose -14*s + 13*s = -77. Suppose -16*m + s = -243. Calculate the remainder when 110 is divided by (m/(-12) + 1)*-42.
26
What is the remainder when 581 is divided by (16/6 + -2)*(20 + 13/(-2))?
5
Let v be 16/6*(-15)/(-10). Suppose v = 92*k - 90*k. Calculate the remainder when 206 is divided by (-20 + -6)*(3/3 - k).
24
What is the remainder when 97 is divided by (-6)/(-4)*880/120?
9
Suppose 0*n - 41 = -5*j - n, -5*j + 38 = -2*n. Calculate the remainder when 160 is divided by 3 + j/14 + 96/28.
6
Suppose 390*m - 78 = 385*m + w, m + 5*w = 52. Let s(x) = -10*x + 5. Let o be ((-2)/(-1))/((-5)/10). Calculate the remainder when s(o) is divided by m.
11
Suppose 0 = -f + 4*f - 162. Suppose 30*v - 1479 + 429 = -480. What is the remainder when f is divided by v?
16
Suppose 0 = -2*j - 10, -2*j = -4*l - 7*j + 1895. Calculate the remainder when l is divided by 286.
194
Let p be -28*(21/(-12) + -1). Let o = -24 + p. Suppose 116*r - 1752 = 1380. What is the remainder when o is divided by r?
26
Let q(y) = 3*y**3 - 27*y**2 + 72*y - 6. Let g be q(6). Suppose 0 = -3*x + 31 + 59. Suppose -6*v + g = -x. What is the remainder when v is divided by 6?
4
Let n(a) = -9005 + 2921 + a - a**2 + 0*a**2. Let y be n(0). What is the remainder when y/(-24)*(-2)/(-3) is divided by 29?
24
Let x(c) = -c**2 - 3*c + 14. Let q be 52/39*18/4. Let t(p) = -p + 1. Let f(m) = q*t(m) - x(m). Calculate the remainder when 49 is divided by f(6).
9
Let l(u) = 2 - u - 1 + 0. Suppose -5105*q = -5115*q + 20. Calculate the remainder when l(-2) is divided by q.
1
Let v = -1771 - -1849. What is the remainder when v is divided by 31?
16
Let a(b) = 2*b**2 - 89*b + 931. What is the remainder when 21923 is divided by a(16)?
16
Let t = -5987 - -6076. What is the remainder when 188 is divided by t?
10
Suppose m - 26*d + 24*d = 1845, -4*m - 2*d + 7390 = 0. What is the remainder when m is divided by 66?
65
Suppose 7118*x - 17974 = 7107*x. What is the remainder when x is divided by 205?
199
Let q be 3/(9/219) - -5. Let s(c) = 3*c - 2. Let d be s(8). Let g = d + q. Calculate the remainder when g is divided by 34.
32
Let y = 48 - -118. Let v(q) = -9*q + 9*q - 8 - 6 - 14*q. What is the remainder when y is divided by v(-4)?
40
Suppose 244 - 217 = -64*l + 4699. What is the remainder when 162 is divided by l?
16
Let k = 8 - 14. Let t(m) = -2*m + 2996 - 4*m - 2988. Calculate the remainder when t(k) is divided by 15.
14
Let j(d) = -10*d**2 + 4*d + 25. Let v be j(-2). Suppose 117 = 3*s - 0*s. Let m = s - v. Calculate the remainder when m is divided by 9.
8
Let r = 17 + -48. Let l = r + 34. Suppose -556 = -5*y + k, 554 = 5*y + l*k - 2*k. What is the remainder when y is divided by 38?
35
Let k = 39211 - 19966. What is the remainder when k is divided by 35?
30
Suppose 5*h - 12 = h. Suppose -20*m - 20 + 240 = 0. Calculate the remainder when (-6)/h*(-129)/6 is divided by m.
10
Let c(l) = -31*l**3 - 4*l**2 - 179*l - 179. Let f = 3 - -1. What is the remainder when ((-102)/8)/((-1)/f) is divided by c(-1)?
24
Let f = -5 - -61. Suppose 4*g + f - 180 = 0. What is the remainder when g is divided by 8?
7
Let i(g) = g**3 + 7*g**2 - 5*g - 18. What is the remainder when i(-7) is divided by 4/(-18) + (155/9 - 2)?
2
Calculate the remainder when 320 is divided by 56/(-21) + 3 + (-1869)/(-63).
20
Suppose 18*k + 17*k - 9101 = 16*k. Calculate the remainder when k is divided by 215.
49
Let z = 758 - 743. Let a(r) = -r**2 - 23*r - 74. What is the remainder when a(-15) is divided by z?
1
Calculate the remainder when ((321/18)/((-5)/230))/((-14)/126) is divided by 13.
12
Calculate the remainder when 3705/((-26)/2)*-15 is divided by 93.
90
Suppose -13*o = 12*o - 1581 - 319. Calculate the remainder when 2143 is divided by o.
15
Calculate the remainder when 6412/6 + 142/(-213) is divided by 20.
8
Suppose -3*m - 5*m + 720 = 0. Suppose 0 = 3*q + 3*v - m, -q + 3*v + 36 = -2*v. Let t(s) = -45*s + 1. What is the remainder when t(-2) is divided by q?
29
Let u(h) = -6*h**2 - 10*h + 2. Let n be 0 + 3 + -3 + -2. Let g be u(n). What is the remainder when 178 is divided by (g - -10)*((-7)/(-2) + 1)?
34
Suppose -366*i + 201*i = -25245. Calculate the remainder when 778 is divided by i.
13
Suppose -1292073 - 373298 = -693*r - 137999. What is the remainder when r is divided by 85?
79
Let w = -321 - -321. Suppose w = -2*v + 6, 5*v + 13 - 12 = i. What is the remainder when i is divided by 8?
0
Suppose 754*o = 25356 + 32702. Let i = 29 - 19. What is the remainder when o is divided by i?
7
Let t = -283 + 281. Let s(k) = -5*k. Calculate the remainder when -119 + 150 + (-7 - 1)/t is divided by s(-4).
15
Let r = -139 - -238. Let w(c) = 203*c + 659. What is the remainder when r is divided by w(-3)?
49
Let i(g) = g**2 - 2*g - 61. Let s(a) = a**2 + 2*a + 5. Let k be s(-5). Let r = -10 + k. Calculate the remainder when i(11) is divided by r.
8
Let n = 46 + 29. Let a(x) = -x**3 + 5*x**2 - 1. Let j be a(3). Calculate the remainder when n is divided by (-15)/((-30)/8) + j + -2.
18
Let d = -96 - -99. Suppose 5*l = d*v - 317, 393 - 56 = 3*v - l. Suppose 3*g - 4*y - 140 = 0, -4*g - y + 41 = -v. What is the remainder when g is divided by 6?
4
Suppose -3*v = v - 24. Suppose 0 = 4*w - w - 3*c - 6, -3*w - 2*c = 4. Calculate the remainder when (-3)/(-1) + 8 + w is divided by v.
5
Let s(n) = -n**3 - 13*n**2 + 15*n + 164. Calculate the remainder when s(-17) is divided by 99.
75
Let p(h) be the third derivative of 3*h**4/8 + 19*h**3 - 2*h**2 + 29. What is the remainder when p(17) is divided by 27?
24
Let z be 2/(-4 - (-70)/15). Suppose z*t + 521 = 1484. Suppose -10*v = -7*v - t. Calculate the remainder when v is divided by 12.
11
Suppose -2*s + 376 = -5*n - 1085, -3*s - n = -2166. Let t = s + -721. Suppose -4*f + 85 = f. What is the remainder when f is divided by t?
1
Let c = -10533 - -10659. Let z be (-11 + 1)/((-2)/(-4)). What is the remainder when c is divided by (48/(-5))/(6/z)?
30
Let v(b) = -b**2 + 37*b - 60. Suppose 7*s + 96 - 467 = 0. What is the remainder when v(27) is divided by s?
51
Let x = -1590 - -1594. Calculate the remainder when 182 is divided by x.
2
Suppose -v + 69 = -2*v. Let g = -117 - -207. Let d = g + v. Calculate the remainder when d is divided by 6