ed by z.
13
Let f(d) = d**3 + 11*d**2 + 10*d + 21. Let c be f(-10). Suppose -4*h - 2*a - 9 = c, -3*h = -2*a + 40. What is the remainder when 54 is divided by 340/25 - 4/h?
12
Let c = 16278 - 16161. Calculate the remainder when 798 is divided by c.
96
Suppose 19*g + 680 = 21*g. Suppose 39*y - 34*y = g. Calculate the remainder when y is divided by 18.
14
Calculate the remainder when 144 is divided by ((-25)/15)/(45/(-1674)).
20
Let l = -14498 + 14584. What is the remainder when 4481 is divided by l?
9
Suppose 726 = 5*y - o, 0 = -y - 4*o + 184 - 43. What is the remainder when y is divided by 71?
3
Suppose -w + s = -11, 4*w - 1 + 2 = -5*s. Let f(h) = -h**2 + 67*h + 701. Calculate the remainder when f(-9) is divided by w.
5
Let h = -285 - -611. Let s = 350 - h. What is the remainder when 66 is divided by s?
18
Let h = 48 - 73. What is the remainder when 4/(-22) - 8775/(-165) is divided by (20/h)/((-2)/35)?
11
Suppose -13*r + 64 = 25. What is the remainder when 135 is divided by r?
0
Let n be 12 + 3616/(-24) - (-2)/3. Calculate the remainder when 205 is divided by (n/(-15))/(-1 - 14/(-10)).
21
Suppose 5*m + p = 4*p - 588, -3*p - 114 = m. Let n = m + 136. What is the remainder when 169 is divided by n?
17
Let m = -2449 - -2529. Calculate the remainder when m is divided by 16.
0
Suppose 56795 + 35930 = 443*q - 1634. What is the remainder when 18741 is divided by q?
210
Let o(i) = -i**3 - 14*i**2 - i + 43. Calculate the remainder when o(-15) is divided by (2 + 0)/(26/247).
17
Let k = -2929 - -5759. Calculate the remainder when k is divided by 12.
10
Let p(b) = -b**2 + 4*b. Let r be p(3). Let g(a) = 44*a - 113. Calculate the remainder when 378 is divided by g(r).
17
Let s = 5237 - 5181. Calculate the remainder when 1562 is divided by s.
50
Suppose -736*g + 749*g - 624 = 0. What is the remainder when g is divided by 6?
0
Let h(z) = -z**3 + 37*z**2 - 8*z + 315. Let q = 11 - 9. What is the remainder when 0 + q + 68/1 is divided by h(37)?
13
Suppose 444 = 2*v + 6*l - 4*l, 5*v + l = 1102. Suppose 3*b + v = 4*p, 6 = -4*p - 2. Let s = 83 + b. What is the remainder when 10 is divided by s?
3
Let v(z) be the third derivative of -z**6/120 + z**5/4 + z**4/12 - 17*z**3/6 - 16*z**2. Let s = -117 + 132. What is the remainder when 16 is divided by v(s)?
3
Let a = -605 + 414. Let j = a - -302. Suppose -207 = -2*g + j. What is the remainder when g is divided by 18?
15
Let w be -9*1/(-3) - (4 - 132). Suppose r - 5*r - 72 = 0. Let h = w + r. Calculate the remainder when h is divided by 30.
23
Suppose -114 = -14*n - 44. Let s(w) = w**3 + 6*w**2 + 2. Let v be s(-4). Suppose -n*i + v = -4*i. What is the remainder when i is divided by 13?
8
Suppose -11094 = -4*n + 37*x - 39*x, n - 2791 = -4*x. Calculate the remainder when n is divided by 18.
17
Suppose -17*q = -6*q - 3388. What is the remainder when q is divided by 15?
8
Calculate the remainder when 25259/469 - (-2 + -1)/21 is divided by (18/8)/(3/16).
6
Let a(p) = -12*p**2 - 14*p + 8. Let g be a(5). Let w = g + 366. Calculate the remainder when 23 is divided by w.
3
Suppose -2*s + 51 = -19. Suppose 0 = -5*g + 90 - s. Suppose k - 2*r = -5*r + 10, 0 = 5*k - 4*r - 12. Calculate the remainder when g is divided by k.
3
Let h(o) = 69*o - 234. Suppose 5*g - 2*w + 4*w = 227, -5 = -5*w. What is the remainder when g is divided by h(4)?
3
Let k = 140 + -148. What is the remainder when 208 is divided by 10/(-20)*14*k?
40
Let t be (-36)/(-24) + (-246)/(-4). Suppose 5*g - 3*c - t = -3, -70 = -5*g + 5*c. Calculate the remainder when 47 is divided by g.
2
Let g(r) = -r**2 - 143*r - 893. Calculate the remainder when 185 is divided by g(-7).
8
Suppose 18*k - 23*k = -1595. Suppose -k*m + 192 = -317*m. Calculate the remainder when m is divided by 49.
47
Suppose 2*l - 412 = -2*b, 0 = -4*b + l + 15 + 854. Calculate the remainder when 380 is divided by b.
165
Let y(k) = -3*k - 12 - 106 + 44. Calculate the remainder when 173 is divided by y(-32).
19
Let t(q) = 11*q**3 - 3*q**2 + 2*q - 4. Suppose -3*y - 2 = 5*c, 3*c - 3*y - 16 = c. What is the remainder when 530 is divided by t(c)?
74
Suppose 5*d = -5*w - 40, 3*w = 4*d + 8*w + 35. Let u(j) = j**2 - 8. Calculate the remainder when u(d) is divided by 3/(((-12)/(-40))/1).
7
Let r = -30 + 29. Let f be (5/(-10))/(r/26). Calculate the remainder when 1259/f - (-26)/169 is divided by 14.
13
What is the remainder when 63 is divided by (-51642)/(-3171) - (-24)/14?
9
Suppose 0 = -45*o + 13*o + 18592. Calculate the remainder when o is divided by 39.
35
Let r be (-6)/(1/(7/(-7))). Suppose 122 = 5*f + 4*q, -r*f + 3*q = -2*f - 79. What is the remainder when 35 is divided by f?
13
Let w = -9674 - -9831. Calculate the remainder when 300 is divided by w.
143
Calculate the remainder when ((-570)/(-228))/(10/2936) is divided by 13.
6
What is the remainder when 4 + 40/(-12) + 9650/15 is divided by 51?
32
Suppose g = 3*v - 1756, -9*v = -4*v + 5*g - 2960. Calculate the remainder when v is divided by 289.
9
Let s(a) = 30*a**3 + 6*a**2 - 9*a - 8. What is the remainder when s(6) is divided by 12?
10
Calculate the remainder when 2096 is divided by 70*((-4)/(-22) + (-561)/(-242)).
171
Suppose 2*i + 8*d - 316 = 3*d, -5*d + 642 = 4*i. Suppose -c = 2*c + 5*f - i, 276 = 5*c + 4*f. What is the remainder when c is divided by 20?
16
Let p(m) = -7*m**2 - 6*m - 5. Let b be p(-1). Suppose -2*v - 3*j - 1 - 1 = 0, 3*v - 4*j - 31 = 0. Calculate the remainder when (-3 - b)*65/v is divided by 14.
11
Suppose 0 = 5*x - 5*y - 105, 14 = -2*x - 102*y + 97*y. Calculate the remainder when 4/22 - (-2418)/11 is divided by x.
12
Suppose 2*y = 0, -3*y - 651 = -3*n - 0*n. Suppose c + 75 = n. Calculate the remainder when c is divided by 6.
4
Suppose -3 = -7*j + 6*j. Let y(g) = 55*g + 9. What is the remainder when 35 + 0*(-1)/j is divided by y(0)?
8
Suppose -10*r + 78 = -9*r. Suppose 0 = 3*z - 39 - r. What is the remainder when z is divided by 21?
18
Let n = -261 - -275. Calculate the remainder when 106 + n - (-2 - 6) is divided by 36.
20
Let h(m) = -4*m**2 - 24*m - 32. Let a be h(-11). Let j = -235 - a. Calculate the remainder when j is divided by 6.
5
Let c be 9 + -9 - 13*-1. Suppose -l + 3 = x, 5*l - l = x - c. Calculate the remainder when 57 is divided by 1 + -2 - -33 - l/(-2).
26
Let k(u) = 3*u**2 - 64*u + 445. What is the remainder when k(12) is divided by 60?
49
Let d be (9 - 9) + (-8)/4. Calculate the remainder when 132/(-9)*(17/(-4) - d) is divided by 12.
9
Suppose a + 6 = 3*a. Let u be ((-87)/(-3))/(-2 + a). Let g = u + -14. Calculate the remainder when 58 is divided by g.
13
Let d(z) = z**3 + 4*z**2 + 2*z - 8. Let i be d(0). What is the remainder when (13/156*i)/(2/(-81)) is divided by 30*(-2 - (-10)/4)?
12
Let s = -128 + 132. Suppose -4*o + a = 5*a - 228, -s*a = 5*o - 283. Let z(w) = 31*w**2 + 2*w + 1. What is the remainder when o is divided by z(-1)?
25
Suppose -4*w + 3*k + 313 = 0, -2*w = 6*k - 7*k - 159. Suppose -9*r + w = -575. What is the remainder when r is divided by 42?
31
Let d = -28053 - -28094. What is the remainder when 1631 is divided by d?
32
Suppose -2*i + 5*i - 3*f - 69 = 0, f = -4*i + 87. Let b = -359 - -642. Calculate the remainder when b is divided by i.
19
Let c = 130 - -112. Suppose c*b = 244*b - 20. Calculate the remainder when 29 is divided by b.
9
Let q(g) = 2*g**3 + 61*g**2 + 197*g - 21. Suppose -c + 6*c = -5*o + 585, -576 = -5*c - 2*o. Calculate the remainder when c is divided by q(-4).
36
Suppose -l = -5, -4*j - 6*l = -l - 29. Let v = 4 - j. Suppose 37 = -v*b + 184. Calculate the remainder when b is divided by 25.
24
Let q = -7170 + 7178. Suppose 2*s - 26 - 224 = 0. Calculate the remainder when s is divided by q.
5
Suppose -5*s - 42 = -r + 74, -5*s = -5*r + 680. Suppose -5*d + 146 - r = 0. Calculate the remainder when 4 is divided by d.
0
Let x(l) = l**2 - 8*l - 15557. Let a be x(0). Calculate the remainder when 2/3 - a/141 is divided by 39.
33
Suppose -98 = -3*b + 70. Calculate the remainder when b is divided by (-47*(-188)/15463)/((-27)/28 + 1).
8
Let q(x) = 11*x**2 - 7*x**2 + 4*x + x**2 - 35 - 51 - 4*x**2. Calculate the remainder when 608 is divided by q(8).
8
Suppose 11*q - 1203 = -158. Let l = -92 + q. Suppose -r + 5*p = -18, -l*r + 140 = r - 3*p. What is the remainder when r is divided by 24?
14
Let p = 4 