/12). Suppose z*l + v = 15, 5*l - 4*v + 0*v - 24 = 0. What is the remainder when (-16)/72 - (-110)/9 is divided by l?
0
Let q(h) = -5*h**2 + 14*h + 24. Let r be q(-6). Let b = -193 - r. What is the remainder when b is divided by 17?
13
Suppose 0 = 3*y + 2*v + 689, -2*y + 682 = -5*y + 5*v. Let h = y + 276. Calculate the remainder when 420 is divided by h.
44
Suppose 2*j + 8*z = 3*z + 348, 752 = 4*j - 4*z. Suppose 21*d - 22*d = 5*f - 245, 2*d = 5*f - 230. Calculate the remainder when j is divided by f.
40
Let z be (-6)/(30/(-5)) - 1. Suppose -2*m + n + 4*n + 106 = 0, z = -3*m + 4*n + 159. What is the remainder when m is divided by 4 - 26/4*-2?
2
Let q = 1985 - 1269. Suppose -16*g + 340 + q = 0. What is the remainder when g is divided by 14?
10
Let i = 35460 + -35376. Suppose -2*u - 177 = -841. What is the remainder when u is divided by i?
80
Let j be 1*24/(-6)*-4. Suppose 2*n + 434 = j*n. Let m = 537 + -352. Calculate the remainder when m is divided by n.
30
Suppose -27 = -0*b - 9*b. Suppose b*i - 10 = 2*i. Suppose 2*q = -5*a + i, -3*a = -3*q + a + 38. What is the remainder when 18 is divided by q?
8
Let a(p) = -8*p + 103. Let v be a(8). Let j = v - -18. Calculate the remainder when j is divided by 34.
23
Let m(s) be the first derivative of -s**4/4 + 11*s**3/3 - s**2/2 - 24*s - 116. What is the remainder when m(8) is divided by 43?
31
Suppose 0 = -46*h - 3500 + 12700. What is the remainder when h is divided by 44?
24
Suppose -115408 = -440*u + 424*u. Calculate the remainder when u is divided by 44.
41
Let d(c) = 281*c + 1457. What is the remainder when d(2) is divided by 288?
3
Suppose 33152 + 22796 = 182*i + 20276. Suppose -5*r + 60 = r. What is the remainder when i is divided by r?
6
Let b(a) = a**3 - 17*a**2 + 21*a. Suppose w + 83 = 5*q, -2*q - w - 19 = -3*q. Calculate the remainder when b(q) is divided by 47.
33
Suppose 6 + 22 = -2*y. Let n be (-21)/(-4)*10/(-15)*y. Suppose -2*a - n = -109. What is the remainder when a is divided by 16?
14
Suppose 0 = -40*n + 30*n + 130. Let v(p) = 2*p**2 + 2*p - 4. Let x(r) = r**3 - 8*r**2 + r - 4. Let i be x(8). What is the remainder when v(i) is divided by n?
10
Let k = 389 + -378. Suppose -5*f + k*r = 6*r - 310, -5*f + 304 = -2*r. What is the remainder when f is divided by 13?
8
Let t = -1 + 27. Let z = -19 + t. Suppose -z = 4*m - 27. What is the remainder when 15 is divided by m?
0
Suppose -h + 0*h - 4 = 0, 5 = -d - 2*h. Suppose d*o - 15 = 18. Suppose -4*l - 2*a = -170, 2*l - 3*a - 133 = -44. What is the remainder when l is divided by o?
10
Let z(t) = -3*t - 1. Let v be z(-2). Suppose -41 = -2*b - 5*f, b + 0*f - v*f = 13. Calculate the remainder when 70 is divided by b.
16
What is the remainder when (-1)/6 - (4 + 3710/(-12)) is divided by (2 + 17 + -2)/1?
16
Suppose -10*h = 6*h + 37*h - 1643. Calculate the remainder when h is divided by 25.
6
Let c = 60 - -34. Suppose -368 = 9*y - 21*y - 11*y. Calculate the remainder when c is divided by y.
14
Suppose -6*f = -29 - 97. Let p be (-4*f/(-10))/(4/10). Let z = 24 - p. Calculate the remainder when z is divided by 1.
0
Suppose -3*u - 37 = -94. Let i = u - 19. Suppose -g - 3*t = 2*t - 41, -3*t + 9 = i. What is the remainder when 51 is divided by g?
25
Let s(r) = r + 27. Let i(h) = -h**2 - 9 + 21 - 5 + 19. What is the remainder when i(0) is divided by s(-17)?
6
Suppose 2388 = 685*u - 682*u - 3*d, 0 = -3*d - 6. What is the remainder when u is divided by 791?
3
Let j = 40398 - 40177. What is the remainder when 830 is divided by j?
167
Let r be ((-2086)/14)/((-3)/6*1). Let n = -279 + r. What is the remainder when 52 is divided by n?
14
Suppose 0 = -2*x + 3*u + 22, -51*u + 50*u = -3*x + 12. What is the remainder when 871 is divided by x?
1
Let p = 257 + -239. Let c = p + 55. What is the remainder when c is divided by 41?
32
Calculate the remainder when 3/(-117)*6 + (-1 - 46650/(-39)) is divided by 19.
17
Let a(o) = 2*o**2 - 2*o + 3. Suppose 0 = 3*v + c + c, -4*v - c + 5 = 0. Suppose 0 = -v*w - w + 66. What is the remainder when a(-5) is divided by w?
19
Let g(f) = -f**3 + 51*f**2 + f - 21. Suppose 48*i = 1564 + 884. Calculate the remainder when 113 is divided by g(i).
23
Suppose 0 = -5*i + 5*y + 15, 7*y = 6*y + 3. Suppose -165 - 369 = -i*f. Calculate the remainder when f is divided by 32.
25
Let x(m) = 2*m + 4. Suppose -4*a + i + 63 = 0, -5*a - 3*i + 59 = -7. Suppose 6*d + 45 = a*d. What is the remainder when x(5) is divided by d?
4
Suppose -c - 3*q - 1399 = -1688, 4*q + 1407 = 5*c. What is the remainder when c is divided by 61?
39
Let h(p) = p**2 + 15*p - 31. Suppose 9*c - 20 = 7*c. What is the remainder when h(-19) is divided by c?
5
What is the remainder when ((-1546973)/921)/((-2)/6) is divided by 18?
17
Let b = 8953 + -8930. Calculate the remainder when 1939 is divided by b.
7
Let x(l) = l**2 + 16*l + 13. Let h be x(-10). Let g = h + 100. Suppose -3*y + 36 = 4*c + y, -3*y - g = -5*c. Calculate the remainder when 49 is divided by c.
9
Let u be 4/34 - (-7)/(952/1072). Suppose -3*h = -2*y - 63, 3*h = u*y - 13*y + 84. What is the remainder when 42 is divided by h?
19
Calculate the remainder when (-2)/21 - (178/14)/((-9)/165) is divided by 34.
29
Let f = 15824 - 15403. What is the remainder when 432 is divided by f?
11
Let i(q) = -q**2 + 8*q - 12. Let o be (0 - (1 + (-2)/4))*-30. Calculate the remainder when (o/(-3))/(-5)*3 is divided by i(5).
0
Let n(p) = -p**3 - 12*p**2 - 20*p - 64. Let j be n(-10). Let a = 258 + j. What is the remainder when a is divided by 28?
26
Suppose 0*l = 3*l - 3*c - 21, 19 = l - 5*c. Suppose -v + 170 = l*v. Let b = 1849 - 1837. What is the remainder when v is divided by b?
10
Let z(c) = -c**3 + 6*c**2 + 9*c + 5. Let u(a) = 26*a + 739. Calculate the remainder when u(-22) is divided by z(7).
15
Suppose 0 = 5*x + 20, z - 4 = x + 23. Suppose 4935 = -120*h - 714*h + 67485. What is the remainder when h is divided by z?
6
Let s = 23 + -6. Let l(p) = p + 127. Let t(j) = 10*j + 1385. Let k(n) = 65*l(n) - 6*t(n). Calculate the remainder when k(s) is divided by 11.
8
Suppose 3*a - 23 = 1, 5*u - 4*a = 208. Calculate the remainder when 317 is divided by u.
29
Calculate the remainder when 2090/60*(4 + 8) is divided by 80.
18
Let z(k) = 439*k + 535 - 963*k + 490*k. Calculate the remainder when z(0) is divided by 67.
66
Let k(x) = 10*x**2 + 15*x + 20. Let q(z) = 22*z**2 + 30*z + 40. Let n(v) = 7*k(v) - 3*q(v). Calculate the remainder when 215 is divided by n(-3).
6
Suppose -l - 3*q - 22 = 0, 2*l - 4*q + 8 = -q. Calculate the remainder when (231 - l) + (2 - -1)/1 is divided by 49.
48
Suppose 6*j - 7*j - y + 2156 = 0, -y = 4*j - 8612. What is the remainder when j is divided by 5?
2
Let p = -4403 + 4414. Let h = -63 - -293. Calculate the remainder when h is divided by p.
10
Let c(z) = z**3 - 16*z**2 - 21*z + 19. Let o(d) = -1. Let n(p) = -c(p) + 3*o(p). Calculate the remainder when n(17) is divided by 2/(-8) - 130/(-8).
14
Suppose -4*z = -5*j - 1328, 0 = -3*z + 8*z - 2*j - 1643. Let y(b) = -b**3 - 6*b**2 - 5*b - 18. What is the remainder when z is divided by y(-7)?
63
Let m(q) = 17*q**3 - 7*q**2 - 22*q + 62. What is the remainder when 10330 is divided by m(2)?
124
Let i(v) = v**3 - 4*v**2 + 3*v - 6. Let d(y) = y**2 + 5*y - 2. Let c be d(-6). What is the remainder when 800/36 - (28 + (-7000)/252) is divided by i(c)?
4
Suppose 31*i = 28*i + 78. Calculate the remainder when (5 + 429/9)*3 - 3 is divided by i.
25
Suppose 5*i - 1081 = -4*g, -5*i + 17*g + 1045 = 12*g. Let j = -3 - -15. Calculate the remainder when i is divided by j.
9
Let x = -36 - -115. Let c = x - 17. Let r = c + 14. What is the remainder when r is divided by 13?
11
Let v = 213 - 200. Suppose v*s - 31 - 47 = 0. Calculate the remainder when 88 is divided by s.
4
Let q = -27 + 44. Let d(w) = 2*w**3 - 124*w**2 - 123*w - 126. What is the remainder when d(63) is divided by q?
12
Let p be ((-6)/2 + 4)*444. Calculate the remainder when 72 is divided by (p/(-36) - (-1 + 2))*-3.
32
Let h = 122 + -65. Calculate the remainder when 568 is divided by h.
55
Let x be (0 + 20)*1*(-8)/20. Calculate the remainder when x/(-72) - (-5648)/36 is divided by 16.
13
Let r = 23 + 163. Suppose -10*m = -896 + r. What is the remainder when m is divided by 40?
31
Suppose -4*j + 38 + 246 = 0. Let s(a) = -63*a + 389. What 