 w = -419 - -464. Suppose -19*f - 3068 = -w*f. Calculate the remainder when f is divided by 58.
2
Let w = 39345 - 34421. What is the remainder when w is divided by 14?
10
Let j = 124 + -83. Suppose 4*u + d - j = u, -5*u + 3*d + 59 = 0. Let s(q) = -32*q. What is the remainder when s(-1) is divided by u?
6
Suppose 60*d = 56*d + 3*q + 2537, 4*d = q + 2547. Calculate the remainder when d is divided by 72.
62
Suppose -7*g + 37 = -5. Let i(m) = m**3 + 5*m**2 + m + 7. Let d be i(-5). Let j(w) = 10*w**2 - 3*w - 1. Calculate the remainder when j(d) is divided by g.
3
Suppose 3*d + 93 - 3052 = 4*q, -2*d + 2*q + 1976 = 0. What is the remainder when d is divided by 142?
141
What is the remainder when (-186116)/(-272) + 3/(-12) is divided by 174?
162
Let q(r) = -r**2 - 26*r - 58. Suppose -3*p + 7475 - 1049 = 0. Calculate the remainder when q(-17) is divided by p/85 + 2/(-10).
20
Let y(u) = 4*u**2 + u - 12. Let l be y(10). Suppose -142 = -9*v + l. What is the remainder when v is divided by 34?
26
Let t(s) = s**3 + 10*s**2 - 9*s + 8. What is the remainder when t(-10) is divided by (32 - (35 + -2))/(1/(-43))?
12
Suppose -9*j = 4*q - 4*j - 330, 4*q = 5*j + 310. Let v = 80 - 52. Calculate the remainder when q is divided by v.
24
Suppose -4*r + 28 = 0, -31*r + 1937 = 5*w - 35*r. Calculate the remainder when w is divided by 254.
139
Let z be 4 + -3 - 200 - 2. Let r be ((-66)/(-18) + (-5 - -1))*z. Let w = 81 - r. What is the remainder when 139 is divided by w?
13
Let o(k) = -2*k**3 + 14*k**2 - 39*k + 231. Calculate the remainder when 2207 is divided by o(6).
68
Let q(a) = 171*a + 135*a - 56 - 339*a. Calculate the remainder when 169 is divided by q(-3).
40
Let m(k) = 9*k**2 - 9*k - 6. Suppose j - 5*j - 8 = 0, l + 20 = j. Let c be l/8 + (-21)/84. What is the remainder when m(c) is divided by 13?
11
Suppose -13*y - 3 = 4*l - 10*y, y = -2*l - 1. Suppose l = -9*j + 1008 + 1719. Calculate the remainder when j is divided by 6.
3
Suppose 81*s - 4556 = -168*s - 19*s. Suppose -y - 302 = -3*j, 0 = 5*y + 3 + 22. Calculate the remainder when j is divided by s.
14
Calculate the remainder when (-11 - -41 - 31) + (1*844)/1 is divided by 64.
11
Suppose 2*r + f - 115 = 0, -3*f + 133 = 5*r - 156. What is the remainder when 13327 is divided by r?
55
Let s be ((-2)/4 + 2)*(-18)/(-3). Let t(v) = 3*v - 7*v + s + 46*v. What is the remainder when t(2) is divided by 32?
29
Suppose h - 5*h - 28 = 0. Let m(n) be the second derivative of -n**4/12 - 4*n**3/3 - n**2 + 11*n. What is the remainder when 18 is divided by m(h)?
3
Let t(h) = 107*h**3 + 28*h - 319*h**3 - 29*h**2 + 28 - h**2 + 108*h**3 + 103*h**3. Calculate the remainder when t(-31) is divided by 41.
39
Let u be (7/(-3) + 2)/((-4)/(-132)). Let i = u + 126. Calculate the remainder when i is divided by 26.
11
Let a(l) = -l**3 - 76*l**2 + 67*l - 125. Calculate the remainder when a(-77) is divided by 35.
15
Let s = -18 - -36. Let g(u) be the second derivative of u**5/20 + 9*u**4/4 - 32*u**3/3 - 91*u**2/2 + 61*u. Calculate the remainder when g(-29) is divided by s.
11
Calculate the remainder when 11 - (-7 - -12 - 633) is divided by 161.
156
Let u(b) = -b**2 - 14*b - 20. Let j = 23 + -35. Let f be u(j). Suppose 0 = -t - 2*i + 26, 0 = t - f*t + i + 43. What is the remainder when 63 is divided by t?
15
Let a(m) = m**2 + 245*m - 3608. What is the remainder when 369 is divided by a(14)?
9
Suppose -273 = -122*z + 1496 - 61. Calculate the remainder when 2081 is divided by z.
9
Let j be (42/8)/(1/(-4)). Suppose 56*d = 51*d - 140. Let q = j - d. Calculate the remainder when q is divided by 5.
2
Let p(w) = 2*w**2 + 5*w + 4. Suppose 11 = -4*c + 3. Let g be p(c). Suppose -9*n = -g*n - 42. What is the remainder when 9 is divided by n?
3
Let g = -94 + 161. Suppose 2*w + 0 = x + 6, w - 2*x = 3. Suppose -w*d = -g + 10. What is the remainder when d is divided by 11?
8
Let s = 158 + -115. Suppose -s*u + 801 = -34*u. Calculate the remainder when u is divided by 27.
8
Calculate the remainder when ((-212)/689)/((-2)/611) is divided by 4/((-6)/243*-3).
40
Let z be 0/(-1)*(-2)/(-6). Suppose 11 = -5*v + 31. Suppose v*w - 29 - 291 = z. What is the remainder when w is divided by 21?
17
Let y(m) = -18*m**2 + 20*m**2 - 5*m + 10 - 3*m - 8*m. Calculate the remainder when 82 is divided by y(9).
26
Let h be (-4)/(-2) + (-3)/((-12)/16). Calculate the remainder when h/10 + (-531)/(-15) - 0 is divided by 25.
11
Suppose -162*r = -7197 - 4143. What is the remainder when 413 is divided by r?
63
Suppose j - 7*s + 4*s - 291 = 0, 4*s = 2*j - 568. What is the remainder when j is divided by 40?
30
Suppose 5*k - 187 = -6*k. Let z(a) = 3*a + a**2 - 4*a + 5 + 6*a. What is the remainder when k is divided by z(-5)?
2
Let z(r) = -r**2 - 25*r - 84. Suppose 2*x + 97 = -9*a + 4*a, 2*a = -x - 39. What is the remainder when 357 is divided by z(a)?
27
Suppose -5*l = -4*f + 371, -499*l - 515 = -5*f - 503*l. What is the remainder when 476 is divided by f?
80
Suppose 97*l - 171*l = -40998 - 58680. Calculate the remainder when l is divided by 171.
150
What is the remainder when 377 is divided by 114/(-266) + -1084*(-3)/42?
69
Let v(s) = s**3 + 14*s**2 - 43*s + 15. Let o be v(-16). Let l = o + -62. Calculate the remainder when l is divided by 26.
25
Suppose 0 = 12*n - 676 - 1460. Let b(y) = -85*y + 792. Calculate the remainder when n is divided by b(9).
16
Suppose o = f - 2*f + 4, 3 = 2*o - 3*f. Suppose 0 = z - o - 11. Suppose -j + 17 = -z. Calculate the remainder when j is divided by 8.
7
Suppose 13*j = 16*j - 4*c - 1035, -1342 = -4*j - c. What is the remainder when j is divided by 32?
17
Suppose -z + 5 = 0, -25 + 122 = 2*l + 3*z. Suppose -4*r + l = -15. Calculate the remainder when r is divided by (-2 - -5)/((-1)/((-24)/9)).
6
Suppose 0*q - q + 19 = 0. Let t = -342 + 347. Suppose -5*y = t*v - v - 158, -v - y + 39 = 0. Calculate the remainder when v is divided by q.
18
Let w = 16 + 28. Suppose -y - y = -w. What is the remainder when y is divided by (12/14)/(16/168)?
4
Let a(k) = -k**3 + 4*k**2 - k - 3. Let p be a(2). Suppose -4*v + 5*v - 29 = -4*j, -j = p. Calculate the remainder when 10*(6 - 8)*2*-3 is divided by v.
38
Let c be (-2 + 1335)*-7*(-4)/28. Let y = c + -775. Calculate the remainder when y is divided by 16.
14
Suppose -1220*w = -1174*w - 3266. Calculate the remainder when 1360 is divided by w.
11
Let x = -58708 + 58772. Suppose -4*t = 5*z - 126, -5*t - z + 32 = -4*t. Calculate the remainder when x is divided by t.
30
Let n(z) = -z**3 + 38*z**2 - 211*z - 24. Let q(s) = -6*s - 3. Suppose 10 = -4*x - 2. What is the remainder when n(7) is divided by q(x)?
3
Calculate the remainder when 24854/12 + (-1027)/78 + 14 is divided by 29.
13
Suppose -5*p + 75 = -5*i, 5*i + p = 3*p - 72. What is the remainder when i/63*3*(-2 - 40) is divided by 9?
1
Suppose 10*z - 20*z - 27*z + 83065 = 0. Calculate the remainder when z is divided by 173.
169
Suppose -5*b + 5*h = -45, 2*h - 6*h = -3*b + 32. Let y = -12 + 16. Suppose -b*a - 6 = 2, -2*f = -y*a - 58. What is the remainder when 98 is divided by f?
23
Suppose 13*d = -2*h + 14*d - 14, -5*h + 2*d = 34. Let i = h - -351. Calculate the remainder when i is divided by 70.
65
Suppose -4*i + 2*v = 0, -3*i + 4*v = 7*v + 9. Let h(u) = -2 - 1 - 6*u + 5*u**2 + 1 - 5. Calculate the remainder when 6 is divided by h(i).
2
Let f(c) = -c**3 - c**2 - 4*c - 3. Let y(o) = 48*o + 33. Let n be y(-4). Let z = -106 - n. Calculate the remainder when z is divided by f(-2).
8
Let m = -257 - -1174. Calculate the remainder when m is divided by 84.
77
Suppose 5385*l - 5400*l + 29355 = 0. Calculate the remainder when l is divided by 89.
88
Let t = 51 - 28. Let i(p) = 6*p**3 + 3*p**2 + 6*p - 32. What is the remainder when i(3) is divided by t?
14
Suppose 0 = l + 5*i - 704, -6*l + 1486 = i - 2767. Calculate the remainder when l is divided by 5.
4
Suppose -96*k + 83*k = -494. Calculate the remainder when 175 is divided by k.
23
Let a(p) = p**3 - 42*p**2 + 24*p + 711. Calculate the remainder when (10/3)/((-8)/(-72)) is divided by a(41).
2
Let l(q) = 188*q**2 + 4*q + 3. Let v(h) = 51*h - 633. Calculate the remainder when l(-2) is divided by v(13).
27
Let f be ((-9)/12)/((-2)/16). Suppose -f*j + 53 = -43. Calculate the remainder when 125 is divided by j.
13
Let z = 761 - 224. Suppose -p =