ppose -399*i - 10 = -389*i. What is the remainder when w(i) is divided by (44/(-10))/((-2)/10)?
15
Let l = 53 + -25. Suppose -35 = -2*a - 3*v, -13*v + 14*v - 1 = 0. Suppose b - a = -c, 2*b - c = -2*b + 59. What is the remainder when l is divided by b?
13
Suppose -3*d + 2*l = -182, d - l - 139 = -77. Suppose -6 + 51 = p. Suppose -b + p = 2*b. What is the remainder when d is divided by b?
13
Let x(b) = -b**3 - 103*b**2 - 217*b - 77. What is the remainder when x(-101) is divided by 103?
99
Suppose 4*s = -2*w + 716, -5*w - 381 - 377 = -4*s. What is the remainder when s is divided by 79?
24
Suppose 9*p + 69*p = 38*p + 3920. Calculate the remainder when p is divided by 96.
2
Let h = -36 + 64. Let m be 7/h - (230/(-8))/5. What is the remainder when 3 is divided by 3*2 + (-3 + m)*-1?
0
Let j = 473 + 38. Suppose 0 = q - 3*x - 73, -2*x + 96 = 3*q - 90. What is the remainder when j is divided by q?
63
Suppose 19*l = 16*l. Suppose r + 55 = a, l*a + 4*a - 184 = -5*r. What is the remainder when a is divided by 5?
1
Let b(z) = -1120*z - 12818. Calculate the remainder when b(-12) is divided by 12.
10
Let k(o) = -3*o**3 + 67*o**2 + 202*o - 33. Calculate the remainder when 306 is divided by k(25).
0
Let u(c) = 2*c**3 + 139*c**2 + 561*c + 319. What is the remainder when u(-65) is divided by 376?
375
Let d be 3 - (1168/5 - 10/(-25)). Let i = -178 - d. Calculate the remainder when 153 is divided by i.
47
Suppose -5*v + 247 = 4*f - 88, -3*f = -3*v - 231. Let o = f - 29. Suppose -78 = -4*s + q, -70 = 3*s - 5*q - 154. Calculate the remainder when o is divided by s.
15
Suppose 8*z - 15*z - 16*z = -460. What is the remainder when 9278 is divided by z?
18
Suppose -2*l - 1318 = -2*o, -5*l + 5 = -0. Suppose 6*v = -14*v + o. What is the remainder when 96 is divided by v?
30
Let f = 67 + -64. Suppose 3*o + 5*v - 352 = 0, -10*o + 7*o + 348 = f*v. Calculate the remainder when o is divided by 27.
6
Let k(d) = 3*d**3 - 14*d**2 + 38*d + 5. What is the remainder when 4613 is divided by k(5)?
213
Let w = 92 + -55. Suppose -7*o - 238 - 1183 = 0. Let u = o + 223. What is the remainder when w is divided by u?
17
Let h = -344 + 345. Calculate the remainder when 36 + (4 - 2) - 0 is divided by (-11 - -7)/(h/(-5)).
18
Let o be (1 - 0)*0 - 378/(-126). Let w(c) = 10*c**3 - 25*c**2 - 5*c + 7. Calculate the remainder when w(o) is divided by 37.
0
Let g = 14795 + -14741. What is the remainder when 74 is divided by g?
20
Calculate the remainder when 242 is divided by (-373)/(-6) - (-3 + (-95)/(-30)).
56
Suppose 0*k - 18*k + 36 = 0. Let z(u) = -1 - 131*u**2 - 2 + 129*u**k + 38*u**3 + 4*u + 60*u**3. Calculate the remainder when z(1) is divided by 20.
17
Suppose 2*c = 4*w + 18, -4*w + 6*c - 3 = c. Calculate the remainder when (295/(-40) - w)*-424 is divided by 23.
21
Let t = -168 - -215. Suppose -15*h = -3*p - 13*h + t, -p + 2*h + 13 = 0. Suppose -20 = -3*s + s. What is the remainder when p is divided by s?
7
Calculate the remainder when 713 is divided by (-6 - -5) + (-13 - 4)*(-4 + 3).
9
Suppose 6966*c = 6973*c - 504. What is the remainder when c is divided by 70?
2
Suppose b - 4*j = 34, 0 = -0*j - 5*j - 25. What is the remainder when ((-122)/(-6))/((-3)/(-9)) is divided by b - (1/3)/(3/(-27))?
10
Let r = -914 - -990. Calculate the remainder when r is divided by 20.
16
Let v = 11899 - 11807. Calculate the remainder when 224 is divided by v.
40
Suppose 3366 = 5*h + 4*y, -3*y + 6*y + 3 = 0. Let d = -407 - -482. What is the remainder when h is divided by d?
74
Let q = -3006 - -3041. What is the remainder when 307 is divided by q?
27
Suppose -162*l - 22435 + 40474 + 30399 = 0. Suppose a - 2 = 0, s + a = 4*s - 19. What is the remainder when l is divided by s?
5
Suppose 3*r + 10581 = 3*z, -17*z + 19*z - 3*r - 7048 = 0. Calculate the remainder when z is divided by 186.
185
Let r be (6/(-21))/(3/(-21)) + 0. Suppose 12 = 5*a + x - r, 3*a + 4*x - 5 = 0. Suppose -23 = -k - 6. What is the remainder when k is divided by a?
2
Let c = 6430 + -6289. Calculate the remainder when 394 is divided by c.
112
Suppose -m + 22 = 5. Suppose 204*n = -2*t + 205*n - 2, 0 = 4*t + 5*n - 38. What is the remainder when m is divided by t?
1
Suppose n = 4*d + 1, -5*n - 4*d = -9*d - 20. Suppose 4*t - 2 + 26 = 2*i, -i - 2 = n*t. Let j = 63 - 34. Calculate the remainder when j is divided by i.
5
Let l(a) = -a + 17. Let q be l(14). Suppose -576 = -g - 7*g. Suppose 0 = r + q*r - g. Calculate the remainder when 34 is divided by r.
16
Suppose 33*x - 31*x - 70 = 0. Let v be 8/(-20)*-5 + 0. Suppose -j - v = 4*g, -4*g = j + 4*j - 70. Calculate the remainder when x is divided by j.
17
Let a(f) = -f**3 - 52*f**2 - 188*f - 82. Let k(v) = -v**2 - 3*v - 2. Let q(y) = a(y) - 6*k(y). Calculate the remainder when 164 is divided by q(-42).
10
Let n be ((-12)/30)/((-2)/120). Suppose -2*z + 3*g + 52 = 0, -5*z + 28*g = n*g - 123. What is the remainder when z is divided by -2 + 2 + (10 - 1)?
5
Let t(w) = -3*w**2 - 104*w + 230. Calculate the remainder when 12899 is divided by t(-36).
85
Let m = -137 + 206. Suppose 4*h = 2*h + 2*r + 38, h + 4*r = -6. What is the remainder when m is divided by h?
13
Suppose -5*l - 24 = -3*r + 8, 2*l + 10 = r. What is the remainder when (4/(-12))/(7/(-4977)) is divided by r?
13
Let r = -82 - -358. Suppose 7*o = o + r. Let j(n) = -n + 13. Calculate the remainder when o is divided by j(0).
7
Let p = -4 - -6. Suppose p*d + 3*d = 1670. Calculate the remainder when d is divided by ((-22)/(-44))/(1677/(-336) + 5).
54
Let w(b) = -81*b + 10. Let f(d) = -81*d + 11. Let h(o) = 2*f(o) - 3*w(o). Let q be h(2). Calculate the remainder when 41 is divided by ((-16)/28)/((-4)/q).
19
Let x = -87 + 92. Suppose h - 6 = -2*k, -28*k + 24*k + 42 = x*h. Calculate the remainder when 37 is divided by h.
7
Let d = 18738 - 18488. Calculate the remainder when 315 is divided by d.
65
Let r be (-32)/(-20)*5/(-2) + 24. Calculate the remainder when 94 is divided by ((-37)/(-1))/(r - 19).
20
Let f be -13 + (-5)/((-25)/(-15)). What is the remainder when 44 is divided by 4/f - 365/(-20)?
8
Suppose 14*o - 78 = 13*o - 5*z, -5*o + 4*z + 245 = 0. Suppose 59*l = o*l + 54. Calculate the remainder when 79 is divided by l.
7
Let b(m) be the third derivative of -m**5/60 - m**4/6 + 167*m**3/6 + m**2 - m. Calculate the remainder when b(0) is divided by 10.
7
Let w = 358 + -333. Let i = w - 13. What is the remainder when 273 is divided by i?
9
Let q = -209 - -351. Let u be 10*(9/(-30))/((-3)/4). Suppose -t + g = -0*g - 24, -u*t + 96 = g. Calculate the remainder when q is divided by t.
22
Suppose -10 = l - 3*k - 22, -3*l + 25 = 2*k. Let s be 2/(-6)*(-175 + -2). Suppose 0 = -v + s + 29. Calculate the remainder when v is divided by l.
7
Let z(a) = a**2 + 7*a + 4. Let f be z(-7). Suppose 2*p - f = 24. Let w(k) = -k**2 + 49*k + 275. Calculate the remainder when p is divided by w(54).
4
Let u = 216 + -29. Let y(p) = -7 - 15*p + 373*p**2 - 187*p**2 - u*p**2. What is the remainder when y(-7) is divided by 13?
10
Let l = 26646 - 25303. What is the remainder when l is divided by 2?
1
Let b = -780 - -1700. What is the remainder when b is divided by 42?
38
Let d(u) = 42*u**2 + 167*u - 1. Suppose 3*w = -3*m + 99, w + 157 = 6*w - 3*m. What is the remainder when w is divided by d(-4)?
2
Suppose -188*f + 174*f = -35742. Calculate the remainder when f is divided by 36.
33
Let h(i) = 61*i**3 - 3*i**2 + 2*i - 7. Let f(u) = -61*u**3 + 4*u**2 - u + 7. Let m(p) = 4*f(p) + 5*h(p). What is the remainder when m(1) is divided by 31?
30
Let t = 1752 - 1283. Calculate the remainder when t is divided by 76.
13
Let w(v) = 7*v**2 + 5*v + 5. Suppose -7*z + z = -186. Suppose -4*c = 5*f - z, -5*f = 3*c - 5*c - 7. What is the remainder when w(c) is divided by 23?
22
Suppose 4*a + 418 = -x + 4*x, -4*a = x - 166. Suppose 104 = -10*y - x. What is the remainder when 103 is divided by (144/20)/((-5)/y)?
31
Let p(z) = 14*z**2 - 26*z - 15. Let m be p(6). Suppose -833 = -10*c - m. Calculate the remainder when c is divided by 13.
11
Let t(n) = -5*n**2 - 8*n - 33. Let k(f) = f**2 + f - 1. Let s(d) = 5*k(d) - t(d). Calculate the remainder when s(-3) is divided by 23.
10
Let u = 169 + -146. Let r(d) = -d + 19. Let i be r(13). Suppose q - 476 = -i*q. Calculate the remainder when q is divided by u.
22
Suppose -5