
29
Let g(x) = 2*x**3 - 21*x**2 + 24*x - 17. Let f be g(9). What is the remainder when (1551/f)/(-2 - 26/(-16)) is divided by 32?
30
Let r(b) = -11*b - 17. Suppose w = 147 - 149. What is the remainder when 10 is divided by r(w)?
0
Let r = 10 - -3. Suppose 11 = 4*a - 13. What is the remainder when 70*(-3 + 21/a) is divided by r?
9
Let s(v) = -3*v - 2. Let m be s(-1). Suppose 16*x - m - 751 = 0. Calculate the remainder when 233 is divided by x.
45
Suppose 7*p - 685 = 575. Suppose 14*m = 9*m + p. Suppose 3*u = 3*v - 9, 2*v - 2*u + 6*u - m = 0. What is the remainder when 8 is divided by v?
0
Calculate the remainder when 8/(-18) - 33*47640/(-162) is divided by 17.
14
What is the remainder when 816 is divided by 9 + (-192 + -8)/(-10) + -8?
18
Suppose -4*d + 29 = -7. Let m be (-3)/(d/(-12)) - (-14 + 18). Suppose -2*l = 2, m = -0*v + 5*v + l - 54. Calculate the remainder when 120 is divided by v.
10
Suppose -4*c = -22 - 14. Let z(n) be the third derivative of -n**5/60 - n**4/2 - 5*n**3/2 - 5*n**2. What is the remainder when z(-8) is divided by c?
8
Suppose 3*v - 102 = 9*v. Let r = 11 + v. Calculate the remainder when 2/r + 512/6 is divided by 22.
19
Let c(f) = f**2 + 64*f + 449. What is the remainder when 161 is divided by c(-8)?
0
Suppose 11*g - 102*g + 8024 = 45*g. Calculate the remainder when 1356 is divided by g.
58
Suppose 4*s - 25 = 47. Suppose 2*g = -s*g + 2260. What is the remainder when g is divided by 38?
37
Suppose 72*v + 7433 = 5697 + 30392. What is the remainder when 416 is divided by v?
18
Suppose -531 = q - 2*x, 0 = 2*q + 4*x + 652 + 442. Let i = q - -563. Calculate the remainder when 55 is divided by i.
7
Suppose -22*s - 56 = 120. Calculate the remainder when 258 is divided by 9/6 + -1 - 188/s.
18
Suppose 3*p - 5*b - 21 = 0, 0 = -10*p + 6*p - 4*b - 4. Let w(t) = 7*t**3 + 3*t - 5. What is the remainder when 283 is divided by w(p)?
55
Let f(h) = -h**3 + 18*h**2 - 10*h - 255. What is the remainder when f(15) is divided by 223?
47
Suppose 10 = 8*s - 6. Suppose s*w = 6*w - 20. Suppose w*c - 20 = 35. Calculate the remainder when 20 is divided by c.
9
Let a(s) be the second derivative of 11*s**4/12 - 101*s. Let b = 21 + 9. Calculate the remainder when b is divided by a(1).
8
Let j = -655 - -451. Let w = -163 - j. Calculate the remainder when w is divided by 15.
11
Suppose -5*g = -5*w + 2 - 52, -4*w + 50 = 2*g. Suppose -79*f + 102 = -78*f. What is the remainder when f is divided by g?
12
Suppose -13 + 163 = 3*v + 5*h, -100 = -2*v - 4*h. Suppose 0 = -3*g - j + 136, -166 = -5*g + j + v. Calculate the remainder when 83 is divided by g.
39
Suppose 0 = 4*d - 6*o + 11*o - 40, 0 = 4*o - 16. Suppose 114 = l + 2*l. What is the remainder when l is divided by d?
3
Suppose -96*t + 103*t = -9772. What is the remainder when t/(-14) + (72/(-21))/(-12) is divided by 49?
2
Let l = 13 + -36. Let o = 456 - 421. Let i = o + l. What is the remainder when 47 is divided by i?
11
Suppose 5*n + 189 = -5*n + 19*n. What is the remainder when 46 is divided by n?
4
Suppose -72 = 5*x - 17. Calculate the remainder when (x - -12)/(2/698) is divided by 50.
49
Suppose -5*b - 317 + 2037 = 0. Let c = b - 319. Calculate the remainder when c is divided by 7.
4
Let q(r) = -7*r + 0 + 0*r + 2. Let g(d) = -23*d**2 + 576*d - 26. Let j be g(25). Calculate the remainder when 21 is divided by q(j).
3
Let v = -101181 - -101410. Calculate the remainder when v is divided by ((-46)/5)/((-1)/5).
45
Let y(q) = -q + 417 + 2*q**2 - 428 + 4*q. Suppose 157*r - 150*r = 14. Calculate the remainder when 40 is divided by y(r).
1
Suppose 5477 = 88*a + 725. Calculate the remainder when 138 is divided by a.
30
Suppose -49*u = -86*u + 3663. What is the remainder when 345 is divided by u?
48
Suppose -10*c + 2*w - 11216 = -12*c, -2*c + 11218 = 4*w. What is the remainder when c is divided by 255?
252
Suppose 0 = -0*x - x + 32. Let i(k) = -k**3 - 4*k**2 - 12*k - 8. Calculate the remainder when x is divided by i(-3).
13
Suppose 294 = -3*z + 5*n, -z - 16*n - 108 = -21*n. Suppose l = -5*m - 74, -4*m - 346 = 5*l + 24. Let d = l - z. Calculate the remainder when 37 is divided by d.
18
Let i(x) be the second derivative of x**3/6 + 6*x**2 - 4*x - 8. Let a be ((-6)/(-5))/(1/(-5)). What is the remainder when 23 is divided by i(a)?
5
Calculate the remainder when 975 is divided by (-5592)/(-140) + (-6)/(-105).
15
Let f = -174 - -181. Let x = -10 + 15. Suppose -5*q = 4*z - 122, q - 16 = -0*q - x*z. What is the remainder when q is divided by f?
5
Let u = -42 + 65. Let t be (3/6)/(2/12). Suppose 0 = -2*n - t*o + 23, 4*o = 4*n - 0 + 4. Calculate the remainder when u is divided by n.
3
Suppose 0 = -5*g - g + 8910. Let l be g/(-18) + (-1)/(-2). Let o = l + 97. What is the remainder when o is divided by 5?
0
Let f(v) = 6*v**2 - 3*v - 22. Let s(q) = -29*q**2. Let r be s(1). Let p = 58 + r. Calculate the remainder when f(-4) is divided by p.
28
Suppose -7*r - 41 + 111 = 0. Let c be (-3 - -2) + 3 + 20/r. Suppose -c*m + 150 + 54 = 0. Calculate the remainder when m is divided by 28.
23
Let r(g) = -g**2 - 138*g - 775. Let f(o) = 27*o**3 + o. Let m be f(1). Suppose -2*n = 2*n - m. What is the remainder when r(-6) is divided by n?
3
Let c(w) be the second derivative of -2*w**3/3 + 11*w**2/2 + w. Let p be c(-6). What is the remainder when 72*1*p/28 is divided by 23?
21
Calculate the remainder when 954 is divided by (2/40*10)/(18/1404).
18
Let b = 4557 - 4517. Let l(a) = -a - 4. Calculate the remainder when b is divided by l(-11).
5
Let r = -40251 + 40567. What is the remainder when 2210 is divided by r?
314
Let u = 363 - 268. Let t = -80 + u. Suppose 0 = 4*k - 3*h - 25, -k + 14 = k - 2*h. Calculate the remainder when t is divided by k.
3
Let w = -5466 + 6622. What is the remainder when w is divided by 13?
12
Suppose -78 = -t + a, 3*t - 220 = -6*a + 2*a. Let x = -1652 - -1691. Calculate the remainder when t is divided by x.
37
Let v(l) = l**3 - 8*l**2 + 5*l + 46. What is the remainder when 685 is divided by v(8)?
83
Let t(d) = -23*d**2 - d + 45. Calculate the remainder when 58 is divided by t(0).
13
Suppose 7*d = -4456 + 4785. What is the remainder when 2462 is divided by d?
18
Suppose 0 = -13*f - 312 + 936. Suppose 0 = -37*d + f*d - 3795. Calculate the remainder when d is divided by 87.
84
What is the remainder when -9 + -2 + 670 + (-1 - 3) is divided by 7?
4
Let k = 16 - 0. Let o be (-3 + 2 + 4)*(-114)/18. What is the remainder when 162/(-36)*2/3*o is divided by k?
9
Let g(x) = 1233*x + 150 + 193 - 1253*x. Calculate the remainder when g(12) is divided by ((-10)/4)/((-1)/14).
33
Let a = 863 - -262. Suppose 3*k = -0*k - a. What is the remainder when 1/(1/k*-5) is divided by 20?
15
Let y = 5464 - 5094. What is the remainder when 395 is divided by y?
25
Suppose -4*i + 18 = 2*u, i - 4*i = 2*u - 13. Let r = 163 - -90. Let w = -234 + r. What is the remainder when w is divided by i?
4
Suppose f - 19 - 16 = 0. Suppose -37*p - 95 = -761. Calculate the remainder when f is divided by p.
17
Suppose 0 = -5*p - 25, 5*h = 3*p + 4300 - 515. What is the remainder when h is divided by 83?
7
Suppose 93 = 16*s + 13. Let o(z) = -6*z + 64. Calculate the remainder when o(s) is divided by 18.
16
Let h(z) = -2*z**3 + 22*z**2 - 22*z + 50. Suppose 147 = 2*t - 91. Let d = -64 + t. What is the remainder when d is divided by h(10)?
25
Let s = 13852 + -13838. Calculate the remainder when 2350 is divided by s.
12
Suppose 10293 = 4*a + 5*u, -10*a + 2577 = -9*a + 5*u. Calculate the remainder when a is divided by 31.
30
Let f = -849 - -916. What is the remainder when f is divided by 64?
3
Let l(h) = -14*h - 45. Let p(d) = 3*d. Let g(n) = -l(n) + 3*p(n). What is the remainder when g(2) is divided by 4/(-2) - 1*-49?
44
Suppose -5*w = -2*x, -5*x - 4*w = -3*w. Suppose 9*r - 4*r - 10 = 0, x = 3*y - r - 13. Let s = 150 + -107. What is the remainder when s is divided by y?
3
Let i = -464 + 529. What is the remainder when 117 is divided by i?
52
Suppose -4*w + 4*p = -3776, 3*w - 4619 + 1819 = -5*p. What is the remainder when w is divided by 39?
4
Let j = 256 - 199. Calculate the remainder when (-2)/(5 - (-3162)/(-630)) is divided by j.
48
Let t(h) = 322*h + 2505. What is the remainder when t(-6) is divided by 153?
114
Calculate the remainder when 1390 is divided by (-1083)/