by h.
14
Suppose 191*m + 78*m = 175119. Calculate the remainder when m is divided by 129.
6
Let a(y) = 3*y + 296. Suppose 6 = 2*f, 117 = 3*c - f - 57. Calculate the remainder when a(-23) is divided by c.
50
Let c be 1/3 - 1152/(-27) - 1. Suppose -c*i + 39*i + 156 = 0. What is the remainder when 259 is divided by i?
51
Calculate the remainder when 2074/10 + (-6)/(-10) is divided by 5/((-275)/(-1915)) - (-22)/121.
33
Let c = -9 + 36. Let m be (-4)/1 - 77/21*-3. Suppose 35*a = m*a + 1484. What is the remainder when a is divided by c?
26
Suppose -n = n - 2*y + 16, 2*n + 12 = 3*y. Let k be (-33 + n)*126/(-5). Suppose g = 10*g - k. Calculate the remainder when g is divided by 43.
40
Let p(l) = -l**3 - 5*l**2 + 6*l + 30. Let k be p(-5). Let m(x) = 6*x + 24. What is the remainder when 69 is divided by m(k)?
21
Suppose -16*s - 62 + 14 = 0, 0 = 3*m - 3*s - 417. Suppose 67 = 4*w - 117. Calculate the remainder when m is divided by w.
44
Let s(r) = r**3 - 14*r**2 + 8*r + 17. Let d be s(13). Let p be 352/d - 4/6. Let q(f) = f**2 + 5*f - 9. Calculate the remainder when 28 is divided by q(p).
13
Suppose 0 = 11*n - 21 - 1. Let t be n/(-7) - (5 + (-344)/28). Suppose 4*u = -8, t*q - 6*q = u + 18. What is the remainder when 71 is divided by q?
7
Let q(a) = -3*a**2 - 88*a - 78. Calculate the remainder when q(-25) is divided by 78.
13
Suppose 0 = 7*s - 33 + 5. Suppose 2*u - s*y + 4 = 26, -17 = -u - y. Suppose -11*o - 178 = -640. Calculate the remainder when o is divided by u.
12
Let b(r) = r**2 - 83*r - 536. Calculate the remainder when 876 is divided by b(92).
0
Suppose 5*f - 5*o + 142 = 2*f, -4*f = o + 151. Calculate the remainder when (6 + -3)*f/(-3) is divided by 14.
11
What is the remainder when (-1)/((-37)/2) - 1881165/(-481) is divided by 206?
203
Suppose 5819 + 7633 = 38*h. Calculate the remainder when h is divided by 80.
34
Suppose r + 3*r = -f + 17, -3*f - 13 = -4*r. Suppose 1268 - 33 = 19*a. Let u = a - 52. What is the remainder when u is divided by r?
1
Let l = 74519 - 74506. Let p = 1142 + -481. Calculate the remainder when p is divided by l.
11
Suppose -5*o = -5, -4*x + 3*o + 27 = 2*o. Suppose x*f - 1021 + 55 = 0. What is the remainder when f is divided by 30?
18
Let u = -3 + -7. Calculate the remainder when 91 is divided by (25/u)/(20/(-176)).
3
Let c(d) = 11*d - 34. Let p be (9 - 6)/(6/8). Suppose 176 = 4*o + 5*v, -3*o - p*v = -2*v - 125. What is the remainder when o is divided by c(4)?
9
Suppose 12*u - 16*u + 798 = -5*b, u - 3*b = 203. What is the remainder when u is divided by 32?
5
Let u(s) = -s**3 - 15*s**2 + 35*s + 23. Let z be u(-17). Suppose 0*l - 12 = -z*l. Suppose l*t - 127 = 5. What is the remainder when t is divided by 10?
6
Let l be (-9)/6*-2*(-986)/51. Calculate the remainder when 8 is divided by (-5)/(-2)*-2 - (-69 - l).
2
Let c(w) = 31*w**2 + 335*w + 1353. Calculate the remainder when 525 is divided by c(-4).
16
Let t(s) = 75*s**2 + 2*s + 1. Let r = -83 - -110. Let y be 2 - (3/9)/(3/r). What is the remainder when t(y) is divided by 15?
14
Let r(m) = m**2 + 3*m + 14. Suppose 18 = 5*f - 37. Suppose u - f*u + 440 = 0. Calculate the remainder when r(7) is divided by u.
40
Suppose 2*b = -3*f + 429, -149 = -2*b + 5*f + 240. Let q = b - 139. What is the remainder when q is divided by 16?
4
Suppose -4066*i + 4067*i = 27. What is the remainder when 1065 is divided by i?
12
Suppose -21*h + 16*h + 315 = 0. Suppose -2*b - b = h. Let v = -3 - b. Calculate the remainder when 68 is divided by v.
14
Let i(j) = 48*j**2 - j - 7. Let x be i(-2). Let s be -3 - (-6)/6 - 132. Let p = s + x. Calculate the remainder when p is divided by 29.
24
Let p(v) = v**3 + 8*v**2 - 24*v - 21. Let u be p(-10). Suppose -u*j + 0*j + 1444 = 0. What is the remainder when j is divided by 26?
24
Suppose 4*f = -d - 3, -3*f + 0*f + d - 11 = 0. What is the remainder when f/(-8) - (-4596)/48 is divided by 17?
11
Let i(b) = b**2 + 67*b + 781. Calculate the remainder when i(-52) is divided by 1.
0
Let m(b) = -958*b + 8715. What is the remainder when m(9) is divided by 9?
3
Calculate the remainder when 142/1 + -3*(11 + 224/(-21)) is divided by (-4)/16 + (-146)/(-8).
15
Let r = -1688 + 1704. Calculate the remainder when 101 is divided by r.
5
Suppose 5*i - 2790 = -2*a, -6*i + 1116 = -4*i - 4*a. Suppose -2*b + i - 152 = 5*z, -4*b = 5*z - 402. Calculate the remainder when z is divided by 23.
13
Let a = -174 - -194. What is the remainder when ((-564)/5)/((-12)/40) is divided by a?
16
Let d = 68 + -46. Let i(x) = -5*x. Let l(j) = -25*j + 1. Let n(m) = d*i(m) - 4*l(m). What is the remainder when n(-2) is divided by 7?
2
Suppose 282*i - 828*i + 17931 = 810*i + 4371. Suppose -3*d + 182 = -d. Let t = 149 - d. Calculate the remainder when t is divided by i.
8
Suppose -3*w - t + 36 = 0, -2*w - 3*t - 57 = -81. What is the remainder when 6765 is divided by w?
9
Let x(a) be the first derivative of 8*a**3/3 - 3*a**2/2 - 3*a - 64. What is the remainder when 19 is divided by x(-1)?
3
Let s(u) = 5*u + 19. Let w be s(1). Suppose 19*h - w*h = 0, 0 = -4*n + 4*h + 400. What is the remainder when n is divided by 89?
11
Let s = -1909 - -2188. What is the remainder when s is divided by 70?
69
What is the remainder when (-80)/(-240) + -2*10570/(-12) is divided by 9?
7
Suppose -r + 7 = 2*j, 0 = 2*j - 0*r + 3*r - 9. Suppose j*d + 18 = -6*d. Let o(s) = 5*s**2 + 2*s + 6. Calculate the remainder when o(d) is divided by 13.
9
Suppose -y = 8*i - 5*i - 22, 0 = 5*i + 2*y - 38. Suppose -2*z + 20 = 3*z. Suppose -z*r + 2*r + 44 = 0. What is the remainder when r is divided by i?
4
Suppose 3*s + 4*u + 2128 = 0, 6*u = -5*s + 8*u - 3590. What is the remainder when s/(-6) - (-60)/(-45) is divided by 8?
6
Suppose -3*s = -y + 402, -31*s - 418 = -y - 32*s. What is the remainder when y is divided by 11?
7
Let h(u) = u**3 + 19*u**2 + 37*u + 22. Let l be h(-16). Suppose 594*v - 588*v = l. Calculate the remainder when 197 is divided by v.
32
Suppose 8*z = -0 + 24. Suppose -z = 5*v - 18. Suppose -56 - 13 = -v*t. What is the remainder when 62 is divided by t?
16
Let k(j) = j**3 + 3*j**2 - 3*j + 32. Let f be k(-5). Suppose 2*w = 4*p + 3*w - 56, p = w + 14. What is the remainder when p is divided by (0 - f - -6)*28/63?
2
Let q be -2 - (-7 - 12/((-20)/(-5))). What is the remainder when (0 - q)*-1 - -233 is divided by 11?
10
Let w(a) = -120*a + 928. Calculate the remainder when 3607 is divided by w(7).
87
Let y(s) = -5*s. Let l = 54791 + -54741. Calculate the remainder when l is divided by y(-4).
10
Let f be (7 - 3)*27/90*70. Suppose -k - k - 118 = 0. Let a = f + k. Calculate the remainder when 74 is divided by a.
24
Suppose 9*g = g + 872. Let w = g - 93. Let f = 1 + 27. What is the remainder when f is divided by w?
12
Suppose 3 - 15 = -w. Suppose -n + 9 = 4*t + 3, 0 = -2*n - 5*t + 12. Let d(h) = -h**3 + 16*h**2 - 51*h + 4. What is the remainder when d(n) is divided by w?
10
Let o = 434 - 135. Let q = 428 - o. Calculate the remainder when q is divided by 26.
25
Let q(k) = -k**2 + 85*k - 324. What is the remainder when 1188 is divided by q(77)?
20
Let k(w) = 2372*w + 18979. What is the remainder when (-18)/4*(-10)/3 is divided by k(-8)?
0
Let o(y) be the third derivative of 71*y**4/24 - 86*y**3/3 - 14*y**2 + 4*y. Calculate the remainder when 261 is divided by o(3).
15
Suppose 247*n = 10635 + 1221. Calculate the remainder when n is divided by 14*(-2)/(4/(-2)).
6
Suppose 132*b = 151*b - 1653. Suppose -4*h - 23 = -u, 0 = -6*u + 3*u - 2*h + 69. Let r = u - 8. Calculate the remainder when b is divided by r.
12
Suppose y + 2*h - 5 = 0, 2*y = 6*y - 3*h - 9. What is the remainder when 7 is divided by 3/4*-1*(-7 + y)?
1
Suppose 2014*b + 20 = 2019*b. Suppose 2*k + 80 = 6*k. What is the remainder when k is divided by b?
0
Suppose 220 = 2*s - 2*h - 0*h, -100 = -s - h. What is the remainder when 218 is divided by s?
8
Let f(h) = h**3 + 16*h**2 + 10*h. Let w be f(-14). Suppose -s + 5*s - w = 4*u, 0 = 4*s - u - 246. What is the remainder when 364 is divided by s?
59
Let z(k) = -3*k - 3*k + 92 - 30. What is the remainder when z(8) is divided by 9?
5
Let k(q) = 5*q - 30. Let f be k(8). Suppose 3*t - 8*t + f = 0. Suppose b - 23 = -2*z - t*z, -3*b = 3*z - 24. Calculate the remainder when 23 is divided by z.
3
Let t = 299 - 297. What is the remainder whe