te the remainder when 448 is divided by x.
11
Let k be (-4)/((0 - 1) + -1). Let g(d) = -18*d - 17 - k*d**2 - 2*d + 18*d**2 - 23*d**3 + 24*d**3. What is the remainder when 64 is divided by g(-17)?
30
Let p = 57 + 17. Suppose -p = -n - 95. Calculate the remainder when 29 is divided by (-6)/n - (-82)/7.
5
Suppose 3*j + u - 16764 = 0, -44*u + 41*u + 11169 = 2*j. Calculate the remainder when j is divided by 7.
3
Suppose 0 = 5*z - 110*o + 105*o - 90, -z - 5*o = -54. What is the remainder when 1534 is divided by z?
22
Let g(b) = b**3 - 6*b**2 - 6*b + 16. Let h = 526 - 519. What is the remainder when (-182)/(-4) - 3/6 is divided by g(h)?
22
Suppose 0 = -l + 9*l. Suppose -4*d + 465 = -g, d - 120 = -l*g + 4*g. What is the remainder when d is divided by 39?
38
Suppose -4*z = c + 6, -5*z = 3*c - 4*z + 7. Calculate the remainder when (185/(-10) - 2)*c*1 is divided by 21.
20
Suppose 7*h - 10*h = -5*q - 27, 2*q + 3*h + 15 = 0. Calculate the remainder when (2 - -5) + 269 + q is divided by 68.
66
Suppose f + 2*c = -2399 + 4141, -3*f - 3*c + 5223 = 0. What is the remainder when f is divided by 82?
18
Let v(f) = -37*f + 438. What is the remainder when 184 is divided by v(9)?
79
Let k = -179 + -28. Suppose 3*w - 3 = -12. Calculate the remainder when (w + 11/3)/((-3)/k) is divided by 8.
6
Let t = -33 + 3. Let h be (t/4)/(-5)*20/10. Suppose -3*f - 5*l + 3 = 0, h*l + 39 = f + 4*f. What is the remainder when 13 is divided by f?
1
Let j = -108 + 80. Let l = 57 + j. What is the remainder when 84 is divided by l?
26
Suppose -10200 = -30*j - 20*j. Suppose -j = -4*q - 2*i, 2*q + 4*i - i = 106. Calculate the remainder when 88 is divided by q.
38
Let d be ((-12)/(-15))/((-1)/125). Let i be ((-10)/((-100)/(-45)))/((-4)/(-200)). Let a = d - i. Calculate the remainder when a is divided by 32.
29
Let b be 3/(-1) - (1 - 18). Let u = b + 4. What is the remainder when (-3500)/56*(-9 - -11 - (3 + 1)) is divided by u?
17
Suppose -w + 5*f + 22 = 0, 2*f - 92 = -3*w + 4*f. Let p be 6*4/(-36)*(-21)/2. Let a = 2 + p. What is the remainder when w is divided by a?
5
Let k(n) = -76*n + 1. Suppose -4*l + 5*q = -6 - 3, 5*q + 5 = 0. Let v be k(l). Let y = -63 - v. Calculate the remainder when 21 is divided by y.
9
Let s(d) = d**2. Let w(i) = 8*i**2 + 2*i + 4. Let l(v) = -4*s(v) + w(v). Suppose -479 + 458 = -7*f. What is the remainder when l(f) is divided by 10?
6
Let n(b) = 274*b - 22680. Let o = -50 - -103. Calculate the remainder when n(83) is divided by o.
9
Calculate the remainder when (30798/4)/((-10)/(-20) - 3/12) is divided by 28.
26
Let d = 575 + -756. Let c = -133 - d. Calculate the remainder when 428 is divided by c.
44
Let b = 228 - 144. Suppose 0 = -4*d - 3*w + 65, 4*d - 38 = 2*d + 4*w. Calculate the remainder when b + 2/8*0 is divided by d.
16
Suppose 0 = 14*w + 6*w - 580. Let i be (-3 - 11)/(-2 - -1). Let u = 22 - i. Calculate the remainder when w is divided by u.
5
Let y = 2247 - 2222. What is the remainder when 72 is divided by y?
22
Let a(r) = -10*r**2 + 17*r - 34. Let j(c) = 8*c**2 - 16*c + 35. Let k(i) = 3*a(i) + 4*j(i). What is the remainder when 91 is divided by k(5)?
22
What is the remainder when 465 is divided by (-3)/(1 - 43/(-2)) + 8288/60?
51
Let t = 545 - 514. Suppose 274 + 98 = t*c. Calculate the remainder when c is divided by 10.
2
Suppose 41*n - 725*n + 428184 = 0. Calculate the remainder when 4389 is divided by n.
7
Suppose 993 = 62*m - 65*m. Let l = m + 380. What is the remainder when 143 is divided by l?
45
Let m(p) = 4*p**2 - 20*p - 7. Let j be m(5). Calculate the remainder when (8/j)/((-54)/2079) is divided by 15.
14
Let r(j) = -5*j - 6. Let n be (-2)/5 - (-828)/(-5). Let u = n - -238. Calculate the remainder when u is divided by r(-5).
15
Let j(h) = h**2 - 5*h + 5. Let y(q) = -2*q**2 + 10*q - 9. Let b(c) = 5*j(c) + 3*y(c). Let a = 743 - 742. Calculate the remainder when b(4) is divided by a.
0
Suppose 4*n = 392 - 220 + 1300. What is the remainder when n is divided by 139?
90
Let r(a) be the first derivative of a**3 - 2*a**2 - 2*a + 21. Let l be r(2). Suppose 5*d - 48 = l*d. Calculate the remainder when 61 is divided by d.
13
Suppose -589 = k - 673. Calculate the remainder when 254 is divided by k.
2
Let w = 41 - 22. Let r(t) = t**2 - 87*t + 1282. What is the remainder when r(17) is divided by w?
16
Let t(j) = -4*j - 6. Let y(r) be the first derivative of -3*r**2/2 + 2*r - 1. What is the remainder when t(-9) is divided by y(-3)?
8
Let j(u) = -368*u + 6 + 0 - 4 + 366*u + u**2. Calculate the remainder when (80/15 + -5)*114 is divided by j(4).
8
Suppose 0 = u - 3*w - 7, 5*w - 9*w = 4*u + 20. Let v be (100/15 + 8/u)*12. Suppose -78 - v = -2*h. What is the remainder when 274 is divided by h?
54
Let m(v) = -v**3 - 11*v**2 + 3*v + 93. Suppose 76*u = 79*u + 33. Calculate the remainder when m(u) is divided by 34.
26
Suppose -52*k + 462 + 110 = 0. Calculate the remainder when 362 is divided by k.
10
Suppose 3*g + 758 = 4*w + 3334, -g + 5*w = -866. Let h = g + -830. Let z = 10 + 4. Calculate the remainder when h is divided by z.
12
Let n(b) = 4 + b**2 + 21 + b - 12. What is the remainder when 88 is divided by n(0)?
10
Let z(x) = -x**3 - 8*x**2 + 19*x + 2. Let w be z(-11). Suppose 0 = -3*r + 4*f + 113, r = -3*r + 4*f + w. Calculate the remainder when r is divided by 17.
9
Let g = -283 + 289. Let o = 137 + -74. Calculate the remainder when o is divided by g.
3
Let c be 6/10 - 157/(-5). Let v = 51 - c. What is the remainder when 48/((16/12)/2) is divided by v?
15
Suppose -2*i = 3*u - 37, 0*i + 4*u - 21 = -i. Let t = 25370 - 25186. What is the remainder when t is divided by i?
14
Let b = -29 + 91. Suppose 81*s - 144*s = -189. Let h(g) = -g**2 + 10*g - 8. What is the remainder when b is divided by h(s)?
10
Let q = -95 + 108. Suppose -q*z + 54 = -7*z. Let m = -2 + 5. Calculate the remainder when z is divided by m.
0
Let g(z) = z**2 - 3*z + 1. Let t be g(-2). Let d(v) = -v - 2 - 17 - t - 4*v. Calculate the remainder when 118 is divided by d(-12).
28
Let t = 62 - 148. Let i = 122 + t. What is the remainder when i is divided by 19?
17
Let u(l) = -l**3 + 15*l**2 - 12*l - 1. Let q be u(14). Let f = q + -27. Calculate the remainder when (-3 + (f - -2))*-13 is divided by 3.
1
Let v(f) = -23*f - 10. Let c(r) = -3*r - 5. Let y be c(-5). What is the remainder when 5/25 - (-1428)/y is divided by v(-2)?
35
Let f = -35 - -56. Suppose 2*z - z - 1 = 5*s, 2*s + 10 = 2*z. Suppose 0 = -2*q + m + 118, -2*m + 2 + z = 0. What is the remainder when q is divided by f?
19
Let c(i) = -i**3 - 16*i**2 + 28*i - 54. Let z be c(-18). Suppose z = -15*v + 25*v. What is the remainder when (2/2 - 3)*-6 is divided by v?
3
Suppose -4*m - 3 = -y, m = -2*y + 2 + 4. Suppose s = 3*f - 20, y*f = 8*s - 5*s + 30. What is the remainder when 78 is divided by f?
3
Suppose -7*z = -0*z. Suppose z = 6*y - 2*y + 196. Let i = y - -61. Calculate the remainder when i is divided by 7.
5
Let c be (6 - (3 - 3)) + -2 + -2. Suppose 0 = -d - 3*r + 102, -c*r + 324 = 3*d + 53. Let j = -80 + d. Calculate the remainder when 11 is divided by j.
4
Let z be (-9)/(0 + -3) + -1 + 0. Suppose 5*s = -20, -3*s = -3*b - z*s + 955. Calculate the remainder when b is divided by 32.
29
Suppose 0 = -5*q - 367*h + 372*h + 750, 2*q - 284 = 4*h. What is the remainder when 458 is divided by q?
142
Suppose 0 = -314*l + 322*l + 960. What is the remainder when 70 is divided by l*15/(600/(-16))?
22
Let m(x) = -x**2 - 15*x - 20. Let u be m(-13). Calculate the remainder when 16/u*(212/8 - -2) is divided by 11.
10
Let j = -28 - -80. Suppose -74*c - 27060 = -133*c - 73*c. What is the remainder when c is divided by j?
49
Suppose 3*i + 380 = 7*b, 5*b - 71 - 203 = 3*i. What is the remainder when 283 is divided by b?
18
Suppose -4*r + 13 = -131. Let c(u) = -u**3 - 7*u**2 + 14*u - 26. What is the remainder when r is divided by c(-9)?
6
Let c = 2833 + -2790. Calculate the remainder when 854 is divided by c.
37
Suppose 2*b + 2 = 4*j, 4*b - 3*j + 0*j - 11 = 0. Suppose b*f - 6 = 4*g + 34, -g = -4*f + 21. Calculate the remainder when 21 is divided by 1 - 12/16 - (-43)/f.
10
Let i = 27 - 12. Suppose 0 = -5*f - 41*f + 966. Calculate the remainder when f is divided by i.
6
Let y(k) = 13*k + 442. What is the remainder when 138 is divided by y(-25)?
21
Suppose -5*g + 1128 +