. Calculate the remainder when p is divided by 70/6 + (-8)/12.
9
Let t(z) = -z**3 - 8*z**2 + 5*z - 8. Let p be t(5). Let j = p - -322. Let k = -136 + 205. Calculate the remainder when k is divided by j.
13
Let q be -9 + 12 + -6 - -3. Suppose -31*n + 26*n + 25 = -y, n - 2*y - 5 = q. Suppose -19 = -d + 7. What is the remainder when d is divided by n?
1
Let u(o) = o**3 - 5*o**2 + 3*o + 2. Let q(t) = -31 - 29 + t + 50. What is the remainder when u(5) is divided by q(16)?
5
Let t be ((-6)/(-4))/((-180)/(-840)). Suppose 0 = -p + t*h - 3*h + 16, -6 = -3*p - 2*h. Calculate the remainder when 8 is divided by p.
0
Let n = -31436 + 31444. Calculate the remainder when 24847 is divided by n.
7
Let p = -40273 - -45645. Calculate the remainder when p is divided by 415.
392
Let t(c) be the third derivative of -c**6/40 + 31*c**5/60 - 7*c**4/24 - 7*c**3/3 + 59*c**2. Calculate the remainder when 110 is divided by t(10).
14
Let a(n) = 5*n**2 + 71*n - 544. What is the remainder when 3595 is divided by a(6)?
61
Let q be (-4 - -29)/(3/3). Suppose -d = -6*d + q. Suppose -8 + 28 = d*v. What is the remainder when 14 is divided by v?
2
Suppose -3*f = -5*b - 34, -18*f + 2*b = -20*f - 4. Suppose -f*i - 8 + 7 = 2*w, -w + 2*i = -17. Let p = 18 - 2. What is the remainder when p is divided by w?
2
Let m(c) = 3 - 2*c + 2 + 144*c**2 + 146*c**2. What is the remainder when m(1) is divided by 21?
20
Suppose 2*q - 11*t = -16*t + 75, -3*q + 110 = 5*t. What is the remainder when 40 is divided by q?
5
Let u(j) = 134*j + 65. Calculate the remainder when u(2) is divided by 15.
3
Suppose 3*d + 5*x = 169, 0 = -3*d - 2*x + 5528 - 5383. What is the remainder when 702 is divided by d?
14
Let x = 208 + -178. Suppose x = 9*k - 7*k. Calculate the remainder when k is divided by 6.
3
What is the remainder when 5013 is divided by (-3536)/(-952)*(6 - -1)?
21
Let v = 3 - 24. Let b = 25 + v. Suppose -b*a + 32 = -112. What is the remainder when a is divided by 19?
17
Suppose 5*a + 90 = 140. Suppose a*r - 9*r = 19. What is the remainder when 224 is divided by r?
15
What is the remainder when 422 is divided by ((-252)/14)/54 + 79/3 + 1?
17
Suppose -5*x + 528 = g, 0 = -5*g - 6 - 29. Calculate the remainder when x is divided by -3*(12/(-9) + -2).
7
Let w = 817 + -785. Calculate the remainder when 1404 is divided by w.
28
Suppose 35 = -172*y + 173*y. What is the remainder when y is divided by 16?
3
Let c = -5175 + 5232. What is the remainder when c is divided by 4/14 + (-33)/(-7)?
2
Let y(m) = m**2 - m - 11. Let l be y(8). Let f = l + -31. Suppose -20*s + 4*u = -24*s + 196, -u + 257 = 5*s. What is the remainder when s is divided by f?
10
Let h be 22/4 - (-5)/(-10). Suppose -46 + 1 = -h*c. Let l(i) = i**3 + 25*i**2 - 51*i + 93. Calculate the remainder when l(-27) is divided by c.
3
Let t = 14110 - 14098. Let p(s) = 4*s**3 - 2*s**2 + 2*s - 1. Let b be p(1). Suppose v + 118 = b*v. What is the remainder when v is divided by t?
11
Let w(q) = -2*q**3 - 27*q**2 + 7*q + 38. Calculate the remainder when 14005 is divided by w(-14).
133
Let t(v) = -v**3 - 8*v**2 + 13*v + 10. Let b be t(-10). Let u = 119 - b. Let k = 77 - u. What is the remainder when k is divided by 13?
12
Let l(r) = -r**3 - r + 121. Let f be l(0). Suppose 8*h = -17 + f. What is the remainder when 13 is divided by h?
0
Suppose z + 10 = 3*z. Calculate the remainder when (-13335)/(-126) + 1/6 is divided by 2 + (-1 - -7*z).
34
Suppose -8 = 28*l - 30*l. Suppose -2208 = -l*y + 5*f + 391, -4*y - 5*f + 2569 = 0. Calculate the remainder when y is divided by 11.
8
Let g(d) = d**3 - 2*d + 2. Let p be g(0). Let u(z) = 10*z + 4*z**2 - 22*z - 9 - 2*z**p. Calculate the remainder when 18 is divided by u(7).
3
Suppose 0 = 74*n - 1327 - 3375 - 4400. What is the remainder when n is divided by 104?
19
Let p(y) be the first derivative of -7*y**2/2 - 52*y + 70. Calculate the remainder when p(-14) is divided by 6.
4
Let t = 8877 + -7955. What is the remainder when 3692 is divided by t?
4
Let g be ((-11)/((-110)/(-84)))/(4/(-10)). Suppose -380 = -g*c + 11*c. Suppose 8 = -2*y + c. What is the remainder when 25 is divided by y?
10
Suppose 3*n = 4*n - 7. Suppose -n - 5 = -3*g. Let d(j) = 5*j**3 - 13*j + 12. Calculate the remainder when g is divided by d(1).
0
Let m(t) = t**2 + 5*t + 4. Let k = -124 - -139. Calculate the remainder when (18/k + -2)/(5/(-100)) is divided by m(-5).
0
Let v(w) = -w + 50. Calculate the remainder when 673 is divided by v(-5).
13
Let x be (-8)/60 + 320/150. What is the remainder when (-4)/(-8 + (x - -2))*11 is divided by 10?
1
Suppose 4*j + j + 454 = 2*h, 6*h - j = 1362. What is the remainder when h is divided by 36?
11
Let w = 687 - 326. Suppose -4*d + 292 = -10*i + 14*i, -w = -5*i - d. Calculate the remainder when i is divided by 8.
0
Suppose 16*d - 126 = 82. Let w be (7/4)/(1/4). Suppose w*m - d = 22. What is the remainder when 24 is divided by m?
4
Let u(z) = -11*z**2 + 4*z**2 - z + 9*z**2 - 8. Suppose 4*o + 13 = 1. What is the remainder when 75 is divided by u(o)?
10
Let q(u) = 21*u**2 - 12*u**2 + 6*u - 4*u**2 - 1 - 3. What is the remainder when q(2) is divided by 2?
0
Let l = -14787 - -21553. What is the remainder when l is divided by 12?
10
Let l = 47 + -15. Suppose 24*t + 48 = 48*t. Suppose 2*q + 4*k = 2, -5*k + 40 = 5*q - t*k. What is the remainder when l is divided by q?
10
Suppose 364 + 48 = 4*r. Let h(o) = -15*o + 151. What is the remainder when r is divided by h(7)?
11
Let l = -419 + 422. Suppose l*f = 43 + 44. What is the remainder when 54 is divided by f?
25
Let a(j) = 2*j**3 - j**2 + 5*j + 3606. What is the remainder when a(0) is divided by 22?
20
Suppose 27*u - 9*u - 2268 = 0. Suppose u*a = 136*a - 350. What is the remainder when 206 is divided by a?
31
Let n = 367 - 16. Suppose 0 = -6*h + n + 1239. Suppose l + 4*l = h. Calculate the remainder when l is divided by 14.
11
Suppose 139 = 4*k + 3*v, 5*k - 4*v - 104 = k. Suppose 3*o = -g + k, 0 = -4*g + o + o + 166. What is the remainder when g is divided by 12?
4
Let t(c) = -22*c - 4. What is the remainder when t(-10) is divided by 25 - (369/82)/(-1 - (-15)/6)?
18
Suppose -5*d + 7*d - 1853 = 985. What is the remainder when d is divided by 141?
9
Let l = 372 - 298. Calculate the remainder when 328 is divided by l.
32
Suppose 3*p - 5*j - 72 = 0, -99 = 102*p - 105*p - 4*j. Calculate the remainder when 1272 is divided by p.
25
Suppose 3*w - n = n + 401, 254 = 2*w - 4*n. Let d = w + -50. Calculate the remainder when d is divided by 33.
21
What is the remainder when (-420561)/1743*(-14)/3 is divided by 63?
55
Let f = -1691 - -1758. Calculate the remainder when 4 + 0 - 9786/(-42) is divided by f.
36
Suppose 100*y - 97*y = 18. Suppose 0 = -3*q - y + 18. Suppose 3*i = -r - i + 61, 0 = 4*i + q. What is the remainder when r is divided by 17?
14
Let s(f) = -8*f**2 - 6*f. Let d be s(-2). Let r = 56 - 97. Let l = d - r. What is the remainder when 83 is divided by l?
20
Let h(i) be the second derivative of 17*i**3/3 - 45*i**2 + 2*i + 83. What is the remainder when 313 is divided by h(5)?
73
Suppose 3*a = 61*q - 57*q - 4808, -1213 = -q - 2*a. What is the remainder when q is divided by 415?
375
Let g = 15 + -13. Suppose g*f = -f + 6. Suppose f*q - 27 = 23. Calculate the remainder when q is divided by 10.
5
Suppose c = -16 + 38. Let j(l) = l**3 - 23*l**2 + 25*l - 45. What is the remainder when j(c) is divided by 13?
8
Suppose -2*w - 3*w + 221 = 3*p, -4*p = -3*w + 121. Calculate the remainder when 141 is divided by w.
12
Suppose -2*m = r - 112, -2*r = 2*m - 102 - 6. Calculate the remainder when 2168 is divided by m.
22
Let c = -6799 + 6882. What is the remainder when 591 is divided by c?
10
Suppose 0 = 6*u + 5*u - 3*u. What is the remainder when 2/(-2) - 4*-17 is divided by 44/3 + (-6)/9 + u?
11
Let w be (-2)/(-7) - ((-372)/21 + -1). Suppose -811 - 63 = -w*s. Calculate the remainder when (33/7 - 5) + (-1269)/(-7) is divided by s.
43
Let q = -44 + 1050. What is the remainder when q is divided by 24?
22
Let r(c) = -8*c - 295. Suppose 0 = 5*v + 5*q - 463 - 42, 5*v - 502 = -4*q. Calculate the remainder when v is divided by r(-40).
23
Suppose -v + 3*s = -38, 3*s + 101 = 3*v - 25. What is the remainder when v is divided by (-15 + (-2354)/110 + 16)*(-20)/12?
10
What is the remainder when (-796)/(-2587) - (-9