 - 18. Let b(u) = c(u) - v(u). Calculate the remainder when b(3) is divided by 7.
6
Calculate the remainder when (18 - (-116)/(-6))*-1371 is divided by 44.
24
Suppose -2*i = -y + 12, 0*i = -4*y + i + 20. Suppose -2*n + m + 389 = 0, -y*m - 468 = -4*n + 320. Calculate the remainder when n is divided by 39.
36
Let h = 22353 + -22080. Calculate the remainder when 1283 is divided by h.
191
Let t(q) = 6*q**3 + 70*q**2 + 23*q + 19. What is the remainder when 1990 is divided by t(-11)?
240
Suppose t = -3*u + 453, -2*u - 256 = 2*t - 558. What is the remainder when 426 is divided by u?
124
Let i = -255 - -369. Calculate the remainder when i is divided by 61.
53
Let k = 4741 + -4718. What is the remainder when 4023 is divided by k?
21
Suppose -t + 778 = -5*a - 3*t, 0 = 2*a + 2*t + 310. Let z = a - -192. What is the remainder when 129 is divided by z?
21
Let m(v) = 4*v**2 - v + 1. Let w(s) = 55*s**2 - s + 19. Calculate the remainder when w(-3) is divided by m(-3).
37
Suppose -4*y - 163 = -599. Let o = 143 + -209. Let r = o + 94. Calculate the remainder when y is divided by r.
25
Let f(z) = z**2 + 6. Let s be f(-25). Suppose 2*v - 643 = -5*x, 20*v - s = -5*x + 21*v. Suppose -45 - 51 = -3*g. Calculate the remainder when x is divided by g.
31
Let c(n) = 9*n + 8. Let t(y) = y**2 - 15*y + 14. Let j be t(1). What is the remainder when 22 is divided by c(j)?
6
Let f(r) = -2*r**3 - 2*r**2 + 45*r + 24. Calculate the remainder when 302 is divided by f(-7).
5
Let l(u) = 2*u**2 + 3*u - 22. Suppose -2*p + 3*y = 8*y - 12, -3*y + 3 = -3*p. Calculate the remainder when l(-7) is divided by (-17 + -2)*p/(-1).
17
Suppose -m + 5*m + 5 = -j, -4*j - m + 10 = 0. Suppose j*i + 13*i - 144 = 0. Calculate the remainder when 51 is divided by i.
6
Suppose -5*f + 1373 = 3*i, 8*f - 3*i - 1120 = 4*f. What is the remainder when f is divided by 56?
53
Let w(m) = 2*m - 9. Let q be w(6). Suppose -12 = -q*r, j + 0*r - r - 1 = 0. Suppose -j*c + 18 = -112. What is the remainder when c is divided by 14?
12
Let g = 7 - 5. Suppose 23 = 2*n + 3*d, 3*d - g*d = 3*n - 29. Calculate the remainder when 21 is divided by 4 + -6*n/(-15).
5
Suppose 3*u = -12, 5*i - u + 648 - 6112 = 0. Let n = i + -770. What is the remainder when n is divided by 54?
52
Let o(u) = -11*u**2 + 57*u - 96. Let j(b) = -5*b**2 + 28*b - 47. Let f(i) = -13*j(i) + 6*o(i). What is the remainder when f(-22) is divided by 6?
5
Suppose 22*j = -12*j + 798 + 1344. Let o(r) = 8*r. Let c be o(-2). Let z = -8 - c. What is the remainder when j is divided by z?
7
Suppose -122*l + 94804 = -10*l + 32084. Calculate the remainder when l is divided by 185.
5
Suppose -3*x = -4*v + 111 + 19, 2*x + 30 = v. Let f = -1641 - -1663. Calculate the remainder when v is divided by f.
12
Suppose -x = -a - 3, 6*x - 5*x - 15 = -5*a. Suppose 163 = x*i - w - 507, -2*w + 134 = i. Calculate the remainder when i is divided by 17.
15
Let r(k) = 7*k**2 + 18*k. Calculate the remainder when r(5) is divided by 63.
13
Suppose -28*a = -3605 + 1477. Calculate the remainder when 935 is divided by a.
23
Suppose -8*u = -14*u - 30. Calculate the remainder when (-44)/(-10)*5/1 is divided by (3 - (7 + u)) + 12 + 0.
9
Let x = -2689 + 2707. Let k(s) = -s**3 + 6*s**2 - 5*s + 3. Let q be k(5). Suppose q*o + 2*o = 350. Calculate the remainder when o is divided by x.
16
Suppose -3*n = 4*g - 8*g + 166, 0 = 2*n - 12. Calculate the remainder when 447 is divided by g.
33
Let u = -3 - -5. Suppose 0 = -2*g - 5*k + 20, -7*k - 10 = -u*k. What is the remainder when g is divided by 27/(2/(-14)*-21)?
6
Suppose 209*c + 944 = 211*c. Let j = 506 - c. Calculate the remainder when 66 is divided by j.
32
Suppose 5*c - 8 = 12. Suppose 2*f - 203 = -3*a - 18, -c*f = 3*a - 373. Suppose 0 = -y - 3, -3*w + f = w - 2*y. Calculate the remainder when 63 is divided by w.
19
Suppose -714 = -3*z - 5*r + 4*r, 0 = 3*r + 9. Let c = -177 + z. Calculate the remainder when 117 is divided by c.
55
Let k(m) = m - 5. Let r be k(8). Calculate the remainder when (6 - -59 - 4) + r is divided by 18.
10
Let w = -41 + 47. Let c be 9*(20/(-6) - -3) + w. Suppose k = 5*b - 133, 0 = -c*b - k + 2*k + 81. Calculate the remainder when b is divided by 15.
11
Let m(c) be the first derivative of -c**4/2 - c**3 + c**2 - 5*c + 11. What is the remainder when m(-4) is divided by 10?
7
Let j = -6137 - -6340. Calculate the remainder when 4056 is divided by j.
199
Let x(b) = -4*b**2 + 7*b - 3. Let u be x(5). Let t = -76 - u. Calculate the remainder when t + 20 + (-10)/2 is divided by 4.
3
Suppose k + 5 - 13 = 0. Let z(r) = 15*r - 38. Suppose -8*p + 7*p + 28 = 0. Calculate the remainder when z(k) is divided by p.
26
Let c = 52 - 31. Let s(w) = w**2 - 1073*w + 2150. What is the remainder when c is divided by s(2)?
5
Calculate the remainder when 363 is divided by 150 + (7 - (-400)/(-25)).
81
What is the remainder when 13049 is divided by (20/3)/((-644)/(-21735)) + (-2 - -2)?
224
What is the remainder when 419 is divided by ((-41)/4*1)/((-24)/960)?
9
Let u(h) = -h**3 + 5*h**2 + 7*h - 9. Let r be u(6). Let d be (-608)/24*r/2. Suppose 3*y - d - 7 = 0. Calculate the remainder when 56 is divided by y.
11
Suppose -5*x - 92 = -4*j, -3*j + 7*j = 4*x + 92. Calculate the remainder when 4208 is divided by j.
22
Let f(h) = 15*h**3 + 9*h**2 + 5*h + 9. Calculate the remainder when f(4) is divided by 26.
15
Let b = -365 + 459. Suppose -b*d = -108*d + 364. Calculate the remainder when 545 is divided by d.
25
Let n = 601 - 578. Suppose -n*o - 60 = -25*o. Calculate the remainder when o is divided by 9.
3
Let a(d) be the third derivative of -13*d**4/12 + 122*d**3/3 - 3*d**2. What is the remainder when 269 is divided by a(9)?
9
Let b(w) = 9*w + 14. Let p be b(11). Let h = -93 + p. Let d = 252 - 173. Calculate the remainder when d is divided by h.
19
Suppose -2*k - d = 3*d - 44, 0 = 2*k - 2*d - 14. Suppose -22*y - k = -24*y. Calculate the remainder when 51 is divided by y.
3
Calculate the remainder when 5487 is divided by (-25 - 215)/(-16) + 2.
13
Suppose -4386 = -505*x + 454*x. What is the remainder when 1622 is divided by x?
74
Suppose 2*j - 96 = -r, 5 = -r - 3. Calculate the remainder when 4419 is divided by j.
51
Let o(y) = y**2 - 4*y - 25. Let k be o(7). Let j be (1/k - (-116)/16)*1. Suppose j*v = 5*v + 64. Calculate the remainder when 156 is divided by v.
28
Calculate the remainder when 59 is divided by (-285)/57 + -1*13/(-1).
3
Let d(o) = -o**3 + 6*o**2 - 10*o. Let c be d(3). What is the remainder when -61*(c - 3) + 0/2 is divided by 46?
44
Let s be 0 - (5/(-2))/((-1)/2). Let k be (s/20)/((-2)/24). Calculate the remainder when 87 is divided by 0 + (k - 0) + 19.
21
Let q = 4636 - 4616. What is the remainder when 319 is divided by q?
19
Let q be -3*(28/(-12))/(-7). Calculate the remainder when (-2)/(-11) - (-11956)/308 is divided by (12 - -4 - 5) + q.
9
Suppose -3*u + 6 = 0, -4*c + 431 = u - 79. Let w = c - -116. What is the remainder when w is divided by 6?
3
Suppose -4*f - 2*a - 43 = 85, 3*f + 4*a = -96. Let w(s) = 3*s**2 + 5*s + 1. Calculate the remainder when w(-6) is divided by (f/20)/(4/(-40)).
15
What is the remainder when 756 - (140/(-18) + 314/(-1413)) is divided by 110?
104
Let j be 3/(-12)*-2*-10. Let s = 3024 - 3018. What is the remainder when (-2 - j/2)*68 is divided by s?
4
Suppose 497*n - 488*n - 351 = 0. Suppose -5*m + 52 = -8. What is the remainder when n is divided by m?
3
Let w = -20 - -187. Let o = -94 + w. Suppose -3*x + o = 4*q, 0 = x - 0*x + 5*q - 28. What is the remainder when 66 is divided by x?
20
Let a(o) = 6*o**2 + o + 3. Suppose -g + 0 = -4*k + 12, -4 = 2*g + 2*k. Let z be a(g). Suppose 10*b - z = 5*b. Calculate the remainder when b is divided by 7.
5
Let b(a) = a**2 + 5*a - 11. Let y be b(-7). Suppose f + 3 = 0, -y*t + 4*t + 4*f = -2. Calculate the remainder when 20 is divided by (-35)/t*4/(-2).
6
Let d(k) = 4*k - 24. Let p(u) = -u**3 - 9*u**2 - 4*u - 21. Suppose -2*w = -2*b + 18, -3*w + b - 27 = 4*b. Calculate the remainder when p(w) is divided by d(7).
3
Let c be ((-20)/(-25))/((-2)/(-210)). Let b = c + -41. Let v = -2473 - -2495. What is the remainder when b is divided by v?
21
Suppose -4*v = -23*v + 114. Calculate the remainder when 6/(-4 + v) + 234 is divided by 14.
13
Let j be (-10)/40*(-10 - (-4 - -2)). Suppose 0*q - j*q = 1