i) = -i**2 + 14*i - 17. Suppose 0 = 2*y + 302 - 4. Let z = y - -270. What is the remainder when z is divided by g(8)?
28
Let w(h) be the second derivative of -h**4/12 + 2*h**3 - 21*h**2/2 + 59*h. What is the remainder when 149 is divided by w(6)?
14
Suppose 23*v + 2968 - 27509 = 0. Calculate the remainder when v is divided by 272.
251
Suppose 7*v + 7*v - 1022 = 0. Suppose -256 = -4*d - 212. Calculate the remainder when v is divided by d.
7
Let b = 2 + -6. Let m(c) = c**2 + c + 7. Let k be m(b). Calculate the remainder when 59 is divided by 283/k + 4/38.
14
Suppose 0 = -4*n + 7 - 19. Calculate the remainder when 21/(-21)*n*(18 + -1) is divided by 14.
9
Let c = 5967 - 5910. What is the remainder when ((-6)/(-6))/((-2)/(-566)) is divided by c?
55
What is the remainder when 3425/21 - (-232)/(-2436) is divided by 29?
18
Calculate the remainder when 35*199767/1785 - (-2 + 0 + 1) is divided by 42.
12
Suppose -157*o - 12 = -160*o. Suppose -5*k + o*x + 54 = 8*x, k - 2*x - 22 = 0. What is the remainder when 116 is divided by k?
4
Calculate the remainder when (36/4 - (-29 + 75))*-328 is divided by 119.
117
Let w = -871 - -1259. Suppose 3*z + 318 = -3*s + 7*s, -z = 5*s - w. Let y = 2442 + -2414. What is the remainder when s is divided by y?
22
Suppose 0 = 47*i + 3027 - 15576. What is the remainder when i is divided by 151?
116
Let b = 401 - 398. Suppose -3*m - 7*j + 152 = -8*j, 0 = -b*j - 6. Calculate the remainder when m is divided by 12.
2
Suppose -4*w + 810 = -4*u + 10994, -5*u + 12728 = -4*w. Let i be 2*(2 + 18/(-4)). What is the remainder when (u/(-5))/8*i/2 is divided by 32?
31
Suppose 0 = -4*v - 7 + 11. Let c be (0 - (-2)/v) + -2. Suppose c = a - 13 - 19. Calculate the remainder when a is divided by 17.
15
Let v(d) = 10*d**3 - 4*d**2 - d - 2. Let s be v(2). Suppose 2*a - 6 = -3*g + 19, 4*a + 4*g = s. What is the remainder when ((-8)/6)/((-8)/456) is divided by a?
16
Suppose -69*s = -297*s - 77*s + 166225. Calculate the remainder when s is divided by 142.
119
Suppose -3*v + 137 = -s, 15*s - v + 657 = 10*s. Let l be (1 + 1)/((-2)/83). Let y = l - s. What is the remainder when y is divided by 10?
8
Suppose -y = -5*i + 179, -5*y = -4*i + 5*i + 843. Let q = 431 - y. What is the remainder when q is divided by 43?
41
Suppose -4*t + t + b + 20 = 0, 3*t - 2*b - 16 = 0. Let v(j) = j**2 + 5*j - 93. What is the remainder when v(t) is divided by (-4)/(1 - (-3)/(-2))?
3
Suppose 2332 + 8415 = 12*i - 1877. Calculate the remainder when i is divided by 94.
18
Suppose -8*o = 196 - 396. What is the remainder when 15322 is divided by o?
22
Let s(d) = 44 - 2811*d - 5 + 21 + 2801*d. Calculate the remainder when s(5) is divided by 1/(-5) - 153/(-15).
0
Suppose 3*j + 243 = 5*i - 2*i, i = -j + 87. What is the remainder when 60 is divided by ((-294)/i)/(2/(-4))?
4
Suppose 712 + 70 = -7*r + 24*r. What is the remainder when 8874 is divided by r?
42
Suppose 0 = 2*c - 2*a - 116, -3*c + 130 = -2*a - 43. What is the remainder when c is divided by 21?
15
Let g = 3 - 0. Suppose -u - 821 + 879 = 5*j, 0 = 3*j - u - 30. What is the remainder when j is divided by g?
2
What is the remainder when (((-6)/(-32))/((-1)/(-4)))/(861/9184) is divided by 3?
2
Suppose -d - 370 = -3*d. Suppose 0 = -6*y - d + 1379. Calculate the remainder when y is divided by 25.
24
Suppose 0*v = 2*v + 70. Let l = v + 50. Suppose 9*f - 360 = 4*f. Calculate the remainder when f is divided by l.
12
Let z be (-601)/(-5) - (-4)/5. Let f = z + -11. Calculate the remainder when f is divided by 37.
36
Let r be ((-64)/12 - -4)*9/(-12). Let l(n) = 14*n**3 - 1. What is the remainder when (148/6)/((-2)/(-3)) is divided by l(r)?
11
Suppose n - 22*n + 357 = 0. Suppose n*g - 384 = 5*g. Calculate the remainder when 190 is divided by g.
30
Let d(p) = 29*p**2 + 375*p + 31. What is the remainder when d(-15) is divided by 55?
51
Let o(l) = 6*l - 13. Let j = -566 + 614. What is the remainder when j is divided by o(5)?
14
Suppose 0 = v + 3*q - 68, -q - 132 = -2*v - 3*q. Suppose g + 45 = 4*f + 68, -9*g + 238 = -5*f. What is the remainder when v is divided by g?
11
Calculate the remainder when 21347 is divided by 110/9 + 0/1 + 104/(-468).
11
Let n be (80/24)/(1/3). Suppose 2*z + 2 = 2*p, 3*p - 7*z + n*z = 27. Let t(l) = l**3 - 7*l**2 - 7*l - 1. Calculate the remainder when t(8) is divided by p.
2
Let t(w) = -3*w**3 - 17*w**2 - 5*w + 17. What is the remainder when 184 is divided by t(-6)?
18
Suppose 0 = -g + 3*o + 2, -1 = 5*o - 16. Suppose k - 44 = -g. Let d = 70 + -63. Calculate the remainder when k is divided by d.
5
Suppose 4*x + 40 = 5*t, -5*t = -0*t - x - 25. Suppose -t*f + 120 = 3*o, -12*f + 2*o = -14*f + 60. Calculate the remainder when f is divided by 9.
3
Let t = 16 - -1052. Suppose 13*s - 181 + 91 = 131. What is the remainder when t is divided by s?
14
Suppose 361*s - 22648 = 342*s. Calculate the remainder when s is divided by 94.
64
Suppose -2*w - 58 = 3*a - 6*w, 0 = a + 2*w + 16. What is the remainder when 73 is divided by (-369)/6*12/a?
32
Suppose 14 - 4 = -2*v - 2*d, 3*v + d + 15 = 0. Let m(x) = 19*x + 151. Calculate the remainder when m(v) is divided by 31.
25
Suppose 68*f - 12519 - 77785 = 0. Calculate the remainder when f is divided by 102.
2
Let z = -26 + 30. Calculate the remainder when (209/55 - 5)*45/(-2) is divided by z.
3
Calculate the remainder when 733 is divided by 510/(-2890) - 62235/(-85).
1
Let s(i) = 192*i - 7700. What is the remainder when s(44) is divided by 146?
18
What is the remainder when -8*14769/(-864) - 2/(-8) is divided by 136?
1
Let w(h) = 6*h - 11. Let m(f) = 3*f**2 + 92*f + 854. What is the remainder when m(-20) is divided by w(14)?
68
Let p(x) = x**3 - x**2 - x + 4. Let i be p(0). Suppose -2 = 3*s + i, -m + 5 = s. Suppose -10 = -9*r + 4*r. Calculate the remainder when m is divided by r.
1
Let z(i) = 15*i - 2. Calculate the remainder when z(4) is divided by ((-23)/((-92)/5))/((-1)/(-4))*2.
8
Let m = -51 + -48. Let t = m - -110. Suppose -16 = 9*u - t*u. What is the remainder when 19 is divided by u?
3
Let p be (3 - 27/(-6))*28/21. Suppose -3*k + i = -20, -3*i + 0*i = k - p. What is the remainder when 31 is divided by k?
3
Let k = -90 - -113. Suppose -98 = -p - 5*r, 2*p - 214 = -6*r + 2*r. What is the remainder when p is divided by k?
21
Let g = 3465 + -3299. What is the remainder when 4477 is divided by g?
161
Suppose 2*u - 552 = -4*r, 23*u - 28*u + 5*r = -1305. What is the remainder when u is divided by 34?
28
Let c be 33 + -33 - 0/2. Suppose c = -5*n - o + 95, 57 = 3*n - 8*o + 5*o. What is the remainder when 198 is divided by n?
8
Let r(f) = 10*f**2 - 34*f + 43. Let g be r(11). Let d = -770 + g. What is the remainder when d is divided by 2?
1
Suppose b + 3 = -4*p, 2*b - 32 = -2*b - 5*p. Let w = 3313 + -3269. Let a = w - b. Calculate the remainder when 90 is divided by a.
28
Let y = 25 + -12. Let b be 3 + ((-4)/1)/4. Suppose 0*k = -2*k + 10, 87 = b*l - 3*k. What is the remainder when l is divided by y?
12
Let q = 1546 - 1504. Calculate the remainder when q is divided by 23.
19
Let g be (16/20)/((-3)/(-405)). Suppose 0 = 5*y - 2*u - g, -19 = -y + 4*u - u. What is the remainder when 81 is divided by y?
15
Suppose y - 210 = -8*b + 4*b, 0 = y - 4*b - 202. Let f = 296 - y. What is the remainder when f is divided by 31?
28
Suppose 0*f = 2*f - 2*t - 144, -3*f = -2*t - 221. Suppose -5*a + f = -73. Let c = 449 + -393. Calculate the remainder when c is divided by a.
26
Let j(d) = -18*d - 39. Suppose 21*x - 22*x + 242 = 0. Suppose -m = 4*c - 59, -3*m + x = 5*c + 44. Calculate the remainder when m is divided by j(-3).
11
Let r = -330 - -656. Let a = -252 + r. What is the remainder when 283 is divided by a?
61
Let n(m) = 2*m**2 - 4*m - 1. Calculate the remainder when 184/(-14 - 690/(-45)) is divided by n(5).
22
Suppose 4*a - 356 = 16*u, -56*a - 2*u = -61*a + 463. Calculate the remainder when 2965 is divided by a.
82
Suppose 153 = -s + 5*v - 8*v, -3*s = -4*v + 511. Let i = 13 - s. Calculate the remainder when i is divided by 18.
16
Suppose 632*s - 563645 - 424632 + 189429 = 0. What is the remainder when s is divided by (1/(-1))/(1/(-115))?
114
Suppose 8*b - 20 = 4. Suppose 0 = -b*y - 4*x - 13, -2*y - 48 = y - 3*x. Let r(f) = -f + 16. Calculate the remainder when 53 is divided by r(y).
26
Let p = 2 - -14. 