 by q.
3
Let l(o) be the first derivative of 13*o**2 - 44*o + 189. What is the remainder when l(4) is divided by 17?
9
Let a(l) = 2*l - 264*l**3 + l - 3*l + 2*l + 2. Let v be a(-1). Suppose -624 = -10*k - v. Calculate the remainder when k is divided by 10.
6
Let t = -304 - -208. Let s = t + 115. What is the remainder when 67 is divided by s?
10
Suppose 37*h + 5202 - 5350 = 0. What is the remainder when 266/4*(3 + -1) is divided by h?
1
Let c = -9614 - -9796. Calculate the remainder when 1081 is divided by c.
171
Let t = 152 + -55. Let c = 107 - t. Calculate the remainder when 130/4 - c/(-20) is divided by 9.
6
Suppose -2*y = 2*y + 124. Let d = y - -110. What is the remainder when d is divided by 21?
16
Suppose -5*g - 7*p + 6*p = -16, -2*g + p + 12 = 0. Let l(y) = 4*y**2 + 3. What is the remainder when l(g) is divided by 28?
11
Suppose -3*j = -n + 177, -n + 153 = 2*j - 29. Calculate the remainder when 157 is divided by (-2)/6 - (-6000)/n.
25
Suppose c - 521 = -2*w + 55, 4*w - 2*c - 1160 = 0. Suppose -w - 26 = -5*o. Let v = -61 + o. Calculate the remainder when 6 is divided by v.
0
Suppose -3*r - t - 25 + 195 = 0, 0 = 2*r - 2*t - 124. Suppose 97 = 5*a - r. What is the remainder when 122 + ((-1)/2)/((-13)/(-52)) is divided by a?
27
Let j(i) = 785*i - 6158. What is the remainder when 644 is divided by j(8)?
34
Let b = 564 + -548. Suppose -2*t + 14 = -4. Calculate the remainder when (33/4)/(t/48) is divided by b.
12
Suppose 2*r - a + 534 = 144, 374 = -2*r + 5*a. Let i = r + 412. What is the remainder when i is divided by 72?
71
Let b(m) = -3*m**2 - 2*m - 24. Let x be b(5). Let d = x - -137. Suppose -2*j + 3*w = 3*j - 486, -198 = -2*j + 3*w. What is the remainder when j is divided by d?
12
Suppose 5*v = 2*p - 338, -712 = -41*p + 37*p + v. What is the remainder when 2157 is divided by p?
9
Suppose 0 = 57*x - 8*x - 539. Suppose 0 = -33*g + 22*g + 671. What is the remainder when g is divided by x?
6
Let t(o) = 2*o**2 - 24*o + 74. Let w be -51*(-2)/27 + 98/441. Calculate the remainder when 47 is divided by t(w).
7
Let u = -42 - -77. Let r = 63 - u. Suppose -5*x - 38 = -4*z - 4, -5*z = 4*x - 22. What is the remainder when r is divided by z?
4
Let b be (-2)/3*27/(-6)*6. Let i be 10/(-35) + b/14. What is the remainder when 32 is divided by (i/(-2) + (-30)/(-4))*1?
4
Suppose 343*c = 68837 + 294604 + 65652. Calculate the remainder when c is divided by 88.
19
What is the remainder when (-405)/(-8) - (210/80 + -3) is divided by 49?
2
Let p(o) = 330*o + 2009. What is the remainder when 308 is divided by p(-6)?
18
Let c = 10624 - 10609. Calculate the remainder when 3250 is divided by c.
10
Let p(j) = -2*j**3 - 11*j**2 - 6*j + 1. Let r be p(-5). Let g be r/(-15) - 48/5. Let h(i) = -5*i - 27. Calculate the remainder when 67 is divided by h(g).
21
Let n = -18198 - -18472. Calculate the remainder when 2738 is divided by n.
272
Let z(x) = 8*x**2 + 2. Let b be z(1). What is the remainder when 62 is divided by 1/(-3) + (280/12 - b)?
10
Suppose -3*h - 2*i + 20 = -10, 0 = -5*h - 2*i + 54. Suppose h*m - 196 = 5*m. Suppose 4*q - m = 2*q. What is the remainder when q is divided by 9?
5
Suppose -3*a + 8 = 16641*t - 16643*t, 73 = 11*t + 3*a. Suppose -4*p - 18 = -126. What is the remainder when p is divided by t?
2
Let o(s) = s**3 - 28*s**2 - 2*s + 47. Let l be o(28). What is the remainder when l/(-54) - (-1822)/12 is divided by 11?
9
Let d(x) = -6*x - 7. Let k(r) = -14*r - 66. Let w(b) = -15*b - 65. Let o(g) = -5*k(g) + 4*w(g). What is the remainder when o(5) is divided by d(-8)?
38
Suppose 0 = 3*q + p - 874, 643*q + 1176 = 647*q - 4*p. Calculate the remainder when 642 is divided by q.
58
Let z = -294 - -631. Let y = z + -331. What is the remainder when 63 is divided by y?
3
Calculate the remainder when 10 is divided by 40/(-180) + 0 + (94/18 - -3).
2
Let m(h) = 96*h**2 - 56*h - 2. Calculate the remainder when m(2) is divided by 39.
36
Suppose 223*f = -79*f + 248244. What is the remainder when f is divided by 27?
12
Let r(v) = v**3 - 5*v**2 - 13*v + 69. What is the remainder when 193 is divided by r(7)?
41
Suppose -15*h - h + 608 = 0. Calculate the remainder when h is divided by 39/4 + -3 + (-52)/(-16).
8
Suppose -3*v - 184 = -4*u, 2*u = -2*v + 50 + 28. Let f = 86 - u. Calculate the remainder when 127 is divided by f.
41
Suppose 0 = -8*l + 282 - 170. Calculate the remainder when ((-88)/28 - -4)/((-1)/(-28)) is divided by l.
10
Let r = -141 + 339. Suppose -12 + 4 = -2*f. Suppose -r = f*v - 562. What is the remainder when v is divided by 19?
15
Let r(o) = -292*o - 6483. What is the remainder when 334 is divided by r(-23)?
101
Let k be 3*(19 - 12/4 - -2). Calculate the remainder when 106 is divided by k*(2/7 + 144/378).
34
Suppose 3*u = 24 + 48. Let a be (-38 - -28)*((-2)/(-4) - 1). Calculate the remainder when 1257/18 - a/(-30) is divided by u.
22
Let h = 16732 - 16063. Let k = 11 - -1. What is the remainder when h is divided by k?
9
Suppose -7111 + 8362 = 9*a. Calculate the remainder when 139 is divided by a.
0
Suppose -6*p - 53 = -2*f - 3*p, 0 = 3*f + 2*p - 47. Calculate the remainder when f is divided by ((-14112)/(-1008))/((-2)/3*-3).
5
Suppose 0 = -0*d - 5*d - 40. Let f be d/(-44) - 150/(-22). Suppose -f = -5*q + 2*y, -3*y = 2*q + 2*y - 26. Calculate the remainder when 8 is divided by q.
2
Let z = 8538 + -8504. What is the remainder when 1352 is divided by z?
26
Suppose 4*s - 5*c + 59 = 6*s, s + 2 = 2*c. What is the remainder when 5660 is divided by s?
8
Let c(j) = -j**2 + 26*j + 6. Suppose -5*p + 14 - 6 = b, b - p = 20. Let r be c(b). Let m = -87 + r. Calculate the remainder when m is divided by 33.
30
Let q(l) = l**2 + 3*l + 3. Calculate the remainder when 552 is divided by q(-12).
108
Calculate the remainder when (0 - 1)/((-239921)/15994 - -15) is divided by 16.
14
Let x(j) = j**2 - 6*j + 3. Let w be x(6). Let p be -10 - (6/9)/((-1)/w). What is the remainder when 486/15*((-28)/p - 1) is divided by 14?
11
Calculate the remainder when 167 is divided by 57 + (-1 + 17)*9*(-15)/(-540).
45
What is the remainder when (-210)/1890 + (-4)/(-6)*6337/6 is divided by 17?
7
Let q = 168 + -149. Suppose -3*y - 297 = -2*z, -q*y + 18*y = z - 156. What is the remainder when z is divided by 40?
33
Let y(m) = -m**2 + 67*m - 223. What is the remainder when y(62) is divided by (1/2)/((-1)/(-36))?
15
Let u(g) = 213*g**2. Suppose -14 = -x + 3*x. Let m(r) = 107*r**2. Let q(y) = x*m(y) + 4*u(y). What is the remainder when q(1) is divided by 21?
19
Suppose -211*f + 231*f - 220 = 0. Calculate the remainder when 535 is divided by f.
7
Suppose -148*s = 5766 - 29002. Calculate the remainder when s is divided by 53.
51
Suppose -2*n - 2 = 0, -32*r + 3*n = -33*r + 387. Calculate the remainder when r is divided by 14.
12
Let j(h) = 4*h**2 + 13*h - 12. Let g be 1/(-4) + (-11)/(-44). Suppose -x + 4*x - 84 = g. Calculate the remainder when j(-6) is divided by x.
26
Let j(n) = n**2 - 49*n + 461. What is the remainder when 1413 is divided by j(38)?
37
Let o(p) = p**3 + 26*p**2 - 82*p - 928. What is the remainder when o(-14) is divided by 38?
26
Let k(w) = w + 2. Let q(a) = a**3 + 9*a**2 + 10*a - 2. Let h be q(-5). Let o be 8 + -8 - h/(-2). Calculate the remainder when 68 is divided by k(o).
16
Suppose 0 = -2*d - n + 345, -123*n - 693 = -4*d - 128*n. Calculate the remainder when 1526 is divided by d.
150
Suppose -425 = -5*j - 4*c, 9*j - 2*c = 13*j - 334. Suppose -9*v = -18 - j. What is the remainder when 21 is divided by v?
10
Suppose -3*k - 1875 = 5*z, 3*k + 1151 = -2*z + 410. Let o = z + 389. Let t(y) = 2*y - 5. What is the remainder when o is divided by t(6)?
4
Suppose 0 = -2*h + 2, 3*w - 9 = 2*h - 5*h. Suppose -7*q + 240 = -w*q. Calculate the remainder when q is divided by 29.
19
Let l(s) = 24*s + 84. Let i be l(-13). Let o(g) = 25*g**2 - 1. Calculate the remainder when ((-76)/i)/((-1)/(-129)) is divided by o(-1).
19
What is the remainder when 534 is divided by (-43 - -59 - (2 - 0)) + 20/4?
2
Suppose 0 = x + q + 21 - 160, 6 = -3*q. Suppose -i + f = -5*i + 198, 4*i - 4*f - 188 = 0. What is the remainder when x is divided by i?
43
Let f(r) = 41*r - 13*r - 23*r + 87. Calculate the remainder when 21 is divided by f(-14).
4
Let u(o) = 3*o**2 - 3*o + 14. Let q(j) = -13*j**2 + 12*j - 55. Let c(d) = 2*q(d) + 9