m = -9*m - b. Calculate the remainder when m is divided by 4.
3
Suppose 2*b - 10 = -v + 4, b = 4*v + 7. Suppose 0 = -b*w + 275 + 68. Calculate the remainder when w is divided by 28.
21
Let y(u) = -41 - 3*u + 4*u + 145. What is the remainder when y(-21) is divided by 20?
3
Let f = -139 + 157. Suppose -f*g + 12*g + 78 = 0. Calculate the remainder when 115 is divided by g.
11
Let j = -15913 + 16056. What is the remainder when 4430 is divided by j?
140
Let g(i) = 3*i**2 - 145*i - 111. Calculate the remainder when 826 is divided by g(50).
131
Let r = -9621 - -9638. Calculate the remainder when 2066 is divided by r.
9
Let j(i) = -72*i. Let p be j(-2). Let a(v) = -492*v + 1343. Let b be a(3). Let x = p + b. What is the remainder when 26 is divided by x?
4
Let v = 2772 - 2727. Calculate the remainder when 259 is divided by v.
34
Let l(f) = f**3 - 3*f**2 - 15*f + 50. Calculate the remainder when 96 is divided by l(5).
21
Let s = -5173 - -5190. What is the remainder when 39 is divided by s?
5
Suppose 93*x - 4*s = 94*x, 2*x + 5*s - 12 = 0. Suppose -3*w - 5*a = -326, -a = 3*a - x. Calculate the remainder when w is divided by 44.
14
Let t = 13317 - 13299. Calculate the remainder when 1312 is divided by t.
16
Suppose -5*c + 2*j = -159, -61 = -4*c - j + 74. What is the remainder when 78 + (16 + 36/(-6) - -3) is divided by c?
25
Suppose -112*k = 56*k - 4368. Calculate the remainder when 938 is divided by k.
2
Suppose -4*b - 4*b = -824. Let q(p) = 4*p**2 - 5*p - 19. Let o be q(6). Let k = o + -68. Calculate the remainder when b is divided by k.
22
Suppose 11*j - 291 = 116. Suppose j*t - 770 = 2*t. What is the remainder when 144 is divided by t?
12
Let z(d) = -d**3 - 6*d**2 + 6*d + 5. Suppose 3*i - 5 = 2*i. Suppose -6*l = i*l - 506. Calculate the remainder when l is divided by z(-7).
10
Suppose 2*f + 3*h - 137 = 0, 2*f - 79 = f + 2*h. Let x = f - 67. Suppose x*g = 46 + 32. Calculate the remainder when 18 is divided by g.
5
Suppose 0 = l - 5*k - 77, 0 = -l - 7*k + 2*k + 47. Let r be (-1)/((-4)/6*10/(-20)). Calculate the remainder when l is divided by (-1)/r + (-799)/(-141).
2
Let j = 10496 + -6870. Calculate the remainder when j is divided by 16.
10
Let l(z) = 12*z**2 - 30*z - 280. Calculate the remainder when l(10) is divided by 52.
48
Calculate the remainder when 447 is divided by -3*(5/30*-3*4 + -7).
15
Suppose w + 27*o = 30*o + 141, 0 = -3*w + 4*o + 448. What is the remainder when 1242 is divided by w?
150
Let d = 513444 - 513328. Calculate the remainder when d is divided by (171/(-6))/(2/(-4)).
2
Suppose -k = -9*k. Suppose -j + 6 = -k. What is the remainder when 48 is divided by (-1394)/(-85) + j/10?
14
Let q be 171/3 - (5 + -1). Let i = -17 - q. Let v = i + 79. What is the remainder when 15 is divided by v?
6
Let z(o) = -21*o**2 - 1195*o + 68. What is the remainder when z(-50) is divided by 20?
18
Suppose 7*a - 61 = 23. Suppose 16 = 4*o, a*c - 1416 = 8*c - 5*o. Calculate the remainder when c is divided by 50.
49
Let j = 2597 + -2593. Let b = 19 + -11. Suppose b = -j*z, -r + 0*r - z + 13 = 0. Calculate the remainder when r is divided by 6.
3
Let n(k) = 11*k + 102. Let p be n(-9). Suppose 0 = p*f - u - 173, 3*f - 281 = -2*f - 2*u. What is the remainder when 114 is divided by f?
0
Suppose -5*j + 60 + 15 = 0. What is the remainder when (-180)/(-8) - (-1)/(-2) is divided by (-1 - (-55)/j)/((-1)/(-3))?
6
Let a(w) = -29*w + 722. Calculate the remainder when a(21) is divided by 90.
23
Let w(r) = r**3 + 8*r**2 - 36*r - 8. Calculate the remainder when 62/4*4/1 is divided by w(-11).
12
Let a(m) = -26*m - 346. Let g be a(-15). Let f be 2*-1*(20 + -1). Let t = f + g. What is the remainder when 14 is divided by t?
2
Let d = -300 + 173. Let s = d + 279. Calculate the remainder when s is divided by 51.
50
Let y(v) be the second derivative of v**3/3 - 5*v**2/2 + 24*v. Suppose 2*f = -f + 222. Calculate the remainder when f is divided by y(10).
14
Suppose 5*d - 542 = 3*c, 21*d + 438 = 25*d + 2*c. Let r = d - 21. What is the remainder when r is divided by 23?
19
Let r(a) = -6*a + 12. Let c(u) = -11*u + 23. Let i(h) = 6*c(h) - 10*r(h). Let g be i(9). What is the remainder when (-3592)/g - 5 - (-4)/18 is divided by 12?
11
Let f = 569 - 545. Calculate the remainder when 70 is divided by f.
22
Let y = -12 + 32. Suppose -30*f = -182 + 2. What is the remainder when 47 is divided by (f/(-4))/((-3)/y)?
7
Let r = 5601 - 5500. Suppose -3230 = -3*v - 1118. Calculate the remainder when v is divided by r.
98
Suppose -4*n = n - 580. Let r = -57 + n. What is the remainder when r is divided by 1*-12*-1 + 3?
14
Let z = 135 - 103. Let o be 8 + -11 - (-3)/1. Suppose 2*y + o*q - 2 = 4*q, -3*y + 27 = 2*q. What is the remainder when z is divided by y?
4
Let r(n) = -73*n + 1514. Calculate the remainder when 3037 is divided by r(19).
116
Suppose 2*m + 461 = 625. Let a(y) = 8*y - 116. What is the remainder when m is divided by a(16)?
10
Let p = -51 + 41. Let j(b) = -9*b - 12. Calculate the remainder when j(p) is divided by (20/(-3))/(4/(-12)).
18
Let a(d) = 17*d - 95. Let y be -4 - 4 - (-48)/3. Suppose 0 = 4*x + l - 33, 5*x - l - 15 = 33. Calculate the remainder when a(y) is divided by x.
5
Suppose 298 = -3*b + 352. What is the remainder when 286 is divided by b?
16
Suppose -105*t + 3*b + 116 = -101*t, -5*t + b = -145. Calculate the remainder when (1 - -1)*26*2 is divided by t.
17
What is the remainder when 183 is divided by (-1742)/(-26) - (-4 - (-6)/3)?
45
Let c(u) = -192*u**2 + 5*u + 12. Let l be c(4). What is the remainder when 189 is divided by ((-18)/(-8) - 2)/((-20)/l)?
37
Suppose 712 - 1000 = -24*g. What is the remainder when 415 is divided by g?
7
Let k be (-5)/10*(-1 + (-2 - -3)). Suppose 5*l + 15 = 5*p, -2*l - 2*l - 5*p + 24 = k. Calculate the remainder when 3 is divided by l.
0
Let v = -64 + 118. Let c be (-72)/(-8)*(-1)/(-3) + -344. Let k = 355 + c. Calculate the remainder when v is divided by k.
12
Suppose 0 = -3*c + 301 - 136. Let j = c - 12. Calculate the remainder when 158 is divided by j.
29
Let m = 116 - 193. Let b = m + 93. Calculate the remainder when 188 is divided by b.
12
Suppose -2*n + 2320 = 5*m, 4*m - 6*n - 1856 = -10*n. What is the remainder when m is divided by 159?
146
Let i = -125 - 204. Let y = i + 341. What is the remainder when 142 is divided by y?
10
Suppose -3 = 8*g + 13. Let s(y) = -30*y - 12. What is the remainder when s(g) is divided by 17?
14
Suppose -2*w = -0*w - 52. Let f(g) = g**2 - 2*g + 9. Suppose 0 = 14*c - 10*c. Calculate the remainder when w is divided by f(c).
8
What is the remainder when 314 is divided by -63*(-6)/(-21)*-7 + -7?
76
Let k(d) = -d**3 - 20*d**2 - 14*d - 15. Let x be k(-19). Let p = x - -138. What is the remainder when 67 is divided by p?
11
Let u = 1305 - 2373. Let n = 1078 + u. Calculate the remainder when (-11 - 1)/(4/(-6)) is divided by n.
8
Let y(q) = -q**3 + 13*q**2 + 14*q + 15. Suppose 2*x + 1 - 29 = 0. Suppose -22*o = -19*o - 87. Calculate the remainder when o is divided by y(x).
14
Let u = -730 + 1020. Suppose -7*q - u = -12*q. Calculate the remainder when 189 is divided by q.
15
Suppose h = -5*o + 251, 2*o + 0*h - 104 = -4*h. Suppose -21*f = -o*f + 812. What is the remainder when (45/4 + 2)*4 is divided by f?
25
Let l be -5 + 24 + 7 + -7. Suppose 0 = t - 4*v - l, 0*t - 2*t - 4*v = -38. What is the remainder when 35 is divided by t?
16
Suppose 5*j = 5*w - 570, 5*w + 5*j - 288 = 312. Let h = w - 98. What is the remainder when 31 is divided by h?
12
Let t(o) = o**2 + 9*o + 18. Let j be t(-6). Suppose j = -8*u - u - 90. What is the remainder when (u + 1 + 1)*(-20)/8 is divided by 11?
9
Suppose 14*o - 13*o = -3*h, -5*o + 20 = -5*h. Suppose 10*t + 130 = 14*t - d, 6 = o*d. What is the remainder when t is divided by 7?
5
What is the remainder when 8 - (5 + -304 - 13) is divided by 68?
48
Let w(z) = 7*z**3 - 23 - 8*z**2 + 9 - 2*z**3 + 7*z + 3*z**2 - 2*z**3. Suppose 7*d - 92 = 3*d. What is the remainder when w(3) is divided by d?
20
Let l = -272 + 441. Let n = 3476 - 3441. What is the remainder when l is divided by n?
29
Let z(q) = 2*q**2 + 77*q - 35. Let o be z(-39). Suppose -o*w = -117 + 89. Suppose -4*d = 4 - 24. What is the remainder when w is divided by d?
2
Let x(p) = p**2 - p + 14. Let g be x(10). Suppose 0 = 4*v + 4*z - g, 2*