der when (-126)/(-27)*(-5 - -11) is divided by q?
3
Suppose 9 = 2*m - 5. What is the remainder when 35*((22 + -29)*(-10)/7 + -9) is divided by m?
0
Let k = 68 + -55. Suppose 0 = -13*p + 221 + k. What is the remainder when 123 is divided by p?
15
Let l = -320 + 343. Calculate the remainder when 548 is divided by l.
19
Suppose 32 = -3*a + 386. Suppose 0 = -9*f + 11*f - a. What is the remainder when f is divided by 10?
9
Let b(c) = 2*c**3 - 20*c**2 + 5*c - 73. What is the remainder when 379 is divided by b(11)?
155
Suppose 1 = -8*l + 121. Suppose -x + 3*a + 6 = 0, -2*a = -4*x - 2 + 6. Suppose -w - 8 + l = x. What is the remainder when 13 is divided by w?
6
Suppose 0 = -228*n + 75*n + 126684. Calculate the remainder when n is divided by 20.
8
Let x = 79 + -379. Let j = x + 334. What is the remainder when 164 is divided by j?
28
Suppose -5*u - 2*h + 14031 = -7817, 13088 = 3*u - 4*h. Suppose 11*w = 373 + u. Calculate the remainder when w is divided by 24.
23
Suppose -575 = 4*v - 563, 5*d - 3075 = 5*v. What is the remainder when d is divided by 64?
36
Let r be 8/36 - 241*1/(-9). Suppose 31*p + w + 123 = 36*p, w + r = p. What is the remainder when 95 is divided by p?
23
Let y be (2/(-3))/(3*34/2295). What is the remainder when 13/(-65) + 32/y*-9 is divided by 12?
7
Suppose -4*p = 24, 293*d - 6 = 290*d - p. What is the remainder when 2113 is divided by d?
1
Suppose -3*g - j + 8799 = -8*j, 2959 = g + 2*j. What is the remainder when g is divided by 20?
7
Let r = -33 - -39. Calculate the remainder when (0 + 268)/2*3/r is divided by 17.
16
Let y = 927 - 923. Suppose g + 3*x = 6*x + 30, -5*g + 218 = 2*x. Suppose -80 = -y*c + 2*b, -3*c + 2*b + 16 = -g. Calculate the remainder when c is divided by 6.
4
Suppose -3*n = 2*n - 20. Suppose 0 = -0*f - 3*f - n*q + 101, 4*q = 20. Calculate the remainder when 105 is divided by f.
24
Suppose 2*r - 202 = -4*i, -9*i + 13*i = 5*r + 181. Calculate the remainder when 1155 is divided by i.
28
Suppose -2*a + 3*a = 1, 2*p = -2*a - 10. Let y be ((-2)/(-3))/(p/(-2601)). Suppose -7*u + 82 + y = 0. What is the remainder when u is divided by 9?
8
Suppose -73*o + 8403 - 5429 = -31555. Calculate the remainder when o is divided by 110.
33
Calculate the remainder when 220 + (-18)/90*5 is divided by 74.
71
Let n = -2023 - -2123. What is the remainder when 1206 is divided by n?
6
Let v(j) = j**3 + 7*j**2 - 23. Calculate the remainder when 41 is divided by v(-6).
2
Let w = 25032 - 24769. What is the remainder when 962 is divided by w?
173
Let t be -2 - (-2 - 1) - 104. Suppose 2*r + 140 = -2*b, -2*b + 40 + 39 = -r. Let s = r - t. What is the remainder when 59 is divided by s?
29
Let f = -14872 + 14887. Calculate the remainder when 333 is divided by f.
3
Let d be (9/6)/(12/32). Suppose 3*u + 312 = 3*z, -z + d*z = -u + 308. What is the remainder when z is divided by 55?
48
Suppose 20*n + 2*d = 24*n + 118, 0 = n + 2*d + 32. What is the remainder when (-588)/(-15) + (-2)/10 is divided by 4/20 - (1296/n)/4?
6
Suppose 5067 = 41*m - 222. What is the remainder when 509 is divided by m?
122
Let t(u) = u**2 + 10*u + 45. Let r(i) = -5*i + 19. Let m be r(0). Let b = m - 19. What is the remainder when t(b) is divided by 12?
9
Let n be 29/((5 - (-132)/(-27)) + 0). Let p = n - 242. Calculate the remainder when 111 is divided by p.
16
Suppose -16*h + 36 = -10*h. Let i(p) = -2*p**3 + 16*p**2 - 9*p + 9. Calculate the remainder when i(7) is divided by ((-20)/8)/(23/h + -4).
14
Let h(x) = -18*x - 32. Let o(d) = -37*d - 66. Let j(c) = 11*h(c) - 6*o(c). Suppose -27 = -u + 13. Calculate the remainder when j(3) is divided by u.
36
Suppose 92801 + 32998 = 183*j - 65802. What is the remainder when j is divided by 344?
15
Suppose 9 = -o - 3*a, 0*o = -4*o - 3*a - 9. Let s = -6017 + 6032. Suppose 3*h + r - s = o, 4*h - r - 20 = -5*r. What is the remainder when 11 is divided by h?
1
Let y = 236 - 198. Suppose 10*q - 20 = 5*q. Suppose -p - u = p - 29, -p = -q*u - 10. What is the remainder when y is divided by p?
10
Let o be 6/3 + (-1 - -4)/3. Let f(w) = w**o + 4 - 1 - 379*w**2 - 15*w + 384*w**2. What is the remainder when 48 is divided by f(-7)?
8
Let p(n) = -8*n**2 + 11*n + 161. Let w be p(-8). Let j = 466 + w. Calculate the remainder when 375 is divided by j.
24
Suppose 1211 + 1285 = 12*a. Let l = 222 - a. Calculate the remainder when 47 is divided by l.
5
Let d be 4/(-26) + (-804)/(-156). Suppose 27 = 2*w + a, 0 = 5*w - d*a - 28 - 17. What is the remainder when 31 is divided by w?
7
Calculate the remainder when 553/(-158)*958/(-7) is divided by 12.
11
Suppose 3*q = 3*b - 5*b + 627, -3*b = 3*q - 939. Calculate the remainder when b is divided by 33/(-44) + (-510)/(-8).
60
Let y(b) = -3 + 5 + 2 - b**2 - 3*b + 16. What is the remainder when 5 is divided by y(-6)?
1
Let g(a) = 26*a**2 - 4*a - 1. Suppose 0*z - d = -2*z + 12, 3*z = 4*d + 28. What is the remainder when g(z) is divided by 67?
64
Calculate the remainder when (-366)/18*-15 + (7 - 5)/2 is divided by 219.
87
Let n(g) = 398*g - 14. Let l be n(3). Suppose 39*p - l = 19*p. What is the remainder when p is divided by 20?
19
Suppose 0 = 15*b - 13*b - 22. Let t(x) = 17 + b + 5 + 2*x - x. Calculate the remainder when t(-17) is divided by 9.
7
Suppose -25330 - 17654 = -24*d + 22536. What is the remainder when d is divided by 161?
154
Suppose -2*i + 3*o + 1320 = 936, 16 = 2*o. What is the remainder when 4691 is divided by i?
203
Let f = -38 - -41. Let k be -4 - (f*-2 - 4). Suppose 0 = k*y - 57 - 87. Calculate the remainder when 69 is divided by y.
21
Suppose 140 = z - b + 2, 0 = 3*b + 12. Let f be z/(-2 - -2 - (-8)/(-4)). Let u = f - -118. What is the remainder when u is divided by 9?
6
Let r(z) be the third derivative of z**6/120 - 7*z**5/60 - z**4/12 - 10*z**3/3 - 5*z**2 - 11. Calculate the remainder when 79 is divided by r(8).
23
Suppose -248 = -11*m - 39. Calculate the remainder when 49 is divided by (1/9 - 420/135) + m.
1
Let w(j) = 4*j - 9 - 3*j**2 + 4*j**2 + 0*j - 14. Let m(l) = -l**2 - 3*l + 22. Let v(h) = 5*m(h) + 6*w(h). Calculate the remainder when v(-14) is divided by 22.
20
Let r be ((-36)/15)/6*25. Let n = r + 53. Let t = 14 - 1. Calculate the remainder when n is divided by t.
4
Let h(r) = 2*r**2 + 378*r + 2208. Suppose 0 = -2*k - b + 253, 5*b - 226 = -4*k + 289. What is the remainder when k is divided by h(-183)?
5
Let k(v) = -27*v**2 + 81*v - 135. Let z(s) = 5*s**2 - 16*s + 27. Let c(h) = -2*k(h) - 11*z(h). Calculate the remainder when 232 is divided by c(10).
11
Calculate the remainder when -3054*(-2)/12 - -14 is divided by 14.
5
Calculate the remainder when ((-30)/(-12))/(105/303870) is divided by 94.
91
Let z be 2/(-10)*(-10)/(-2) + 832. Calculate the remainder when (z/(-4))/(-9 + 66/8) is divided by 20.
17
Let g = 84 + -59. Suppose 29*x = g*x + 92. Calculate the remainder when x is divided by 16.
7
Let g = 171 - 199. Calculate the remainder when 293 is divided by (5 + g/7)*21.
20
Let a = -2460 - -2473. What is the remainder when (6/(-9)*41)/((-8)/60) is divided by a?
10
Suppose 0 = 4*m + 2*u - 3648, -3*m + 4*u + 3764 = 1006. Calculate the remainder when m is divided by 45.
14
Let l(f) = 6*f + 94. Let r be l(-11). Suppose -6*k + 20 = -2*k - 3*i, 0 = 3*k + i - r. What is the remainder when 87 is divided by k?
7
Let s(l) = -l**3 + 11*l**2 - 33*l + 140. What is the remainder when s(7) is divided by 4/((-2)/(-23)*1)?
13
Let t(d) = 2*d**2 + 8*d + 3. What is the remainder when t(-6) is divided by (30/8)/(10 - (-2175)/(-232))?
3
Let r(w) = 5*w + 328. Calculate the remainder when r(-27) is divided by 92.
9
Suppose 0 = 5*l + 3*q - 9970, 5*l - 100*q - 9965 = -104*q. Calculate the remainder when l is divided by 246.
29
Let h(b) = -114*b - 1831. What is the remainder when h(-28) is divided by 26?
9
Let f = 119 + -70. Suppose 2*i - 91 + 473 = 4*n, 400 = 4*n + 4*i. What is the remainder when n is divided by f?
48
Let f(b) be the second derivative of b**4/12 - b**2/2 - 2*b - 55. What is the remainder when 139 is divided by f(4)?
4
Let a = -148 - -213. Suppose 932 = -58*x + 12010. Calculate the remainder when x is divided by a.
61
What is the remainder when (-87)/116 + (-1435)/(-4) is divided by 109?
31
Let r = -937 + 635. Let d = r + 351. What is the remainder when d is divided by 9?
4
Let f(c) = -6*c + 16 - 6*c -