v) = 7*v - 8. Let m be (-12 - -168)*(-2)/(-3). Suppose 13*x - m = 5*x. What is the remainder when a(8) is divided by x?
9
Let y be ((-4)/1)/2*21/(-2). Let o = -36 + 55. Calculate the remainder when o is divided by (-52)/y*-3 + 3/(-7).
5
Suppose -690 = -4*s - 0*y - y, -4*s + 694 = -y. Calculate the remainder when s is divided by 22.
19
Calculate the remainder when 152 is divided by 38 + 2/(4/22).
5
Let l = 2092 - 1284. Calculate the remainder when l is divided by 14.
10
Calculate the remainder when 203 is divided by ((-52)/(-104))/((-1)/(-102)).
50
Let h = -18 - -12. Let s(g) = 2*g**2 + 5*g + 1. What is the remainder when s(h) is divided by (-864)/336*154/(-33)?
7
Let c = -343 + 361. What is the remainder when 213 is divided by c?
15
Let j(d) = 2*d**2 + 9*d - 70. Calculate the remainder when j(7) is divided by ((-46)/(-4))/((-1)/(-2)).
22
Let i(l) = -3*l**2 + 6*l - 2*l**2 + 5*l**2 - 6 + l**2. Let x be i(-10). Suppose -x - 28 = -2*k. Calculate the remainder when k is divided by 16.
15
Let i be 16*((-10)/4 + 3). Suppose 61 = i*k - 19. What is the remainder when 23 is divided by k?
3
Suppose 48*t + 160 = 50*t. Calculate the remainder when t is divided by 12.
8
Let n = -23 + 11. Let w = 28 + n. Calculate the remainder when w is divided by 10.
6
Let s = -18 - -27. Suppose 153*m - 98*m = 825. What is the remainder when m is divided by s?
6
Suppose -4*n + 20 = 2*g, 5*g - 3*n - 24 - 13 = 0. Let z = -7 + g. Suppose 6 = 3*c + 3. What is the remainder when c is divided by z?
0
Suppose -w + 2 = 47. What is the remainder when (-72)/(-5) + (-27)/w is divided by 9?
6
Let p = -3 - -14. Suppose p*u - 72 = 10*u. Calculate the remainder when u is divided by 15.
12
Let f(r) = r**3 + 16*r**2 + 6*r - 7. Suppose -65 = -2*d - 13. What is the remainder when f(-15) is divided by d?
24
Let o = 1563 + -1372. Calculate the remainder when o is divided by 24.
23
Let o(d) be the second derivative of -d**4/4 - d**3/6 + 35*d**2 + 6*d. Calculate the remainder when o(0) is divided by 9.
7
Let y(a) = 7*a - 7. Let o be y(13). Calculate the remainder when ((-24)/o - 285/7)/(-1) is divided by 14.
13
Let i = -29 + 33. Suppose -3*n = i*v - 2*v - 6, 5*n - 2*v + 6 = 0. What is the remainder when 56 is divided by -4 - (-18 - (1 - n))?
11
Suppose 1 = 2*a - 9, 5*a = 2*t - 661. What is the remainder when t is divided by 23?
21
Suppose -5*p = -n + 1, 0 = n + p - 32 + 1. Calculate the remainder when (54 + -60)*(0 - 74/6) is divided by n.
22
Let n(u) = -3*u - 5. Suppose r + 0 = -11. Let d(q) = -16*q - 25. Let f(x) = r*n(x) + 2*d(x). What is the remainder when 7 is divided by f(0)?
2
Suppose -36 = -4*x - 2*x. Suppose x*y + 2*y = 256. Calculate the remainder when y is divided by 17.
15
Let d = -1826 - -2066. What is the remainder when d is divided by 13?
6
Let u = -7 + 17. Suppose 0 = 2*m + 4*l - u - 10, -3*m + 4*l = 0. Calculate the remainder when 13 is divided by m + -1 + -13 + 17.
6
Suppose 78*a - 63*a = 1440. Calculate the remainder when a is divided by 26.
18
Suppose 9*r = r - 144. Suppose 2*q + 43 = 4*c - 67, 0 = q + 2*c + 35. Let n = r - q. What is the remainder when 52 is divided by n?
25
Suppose -5*g + 2571 = 4*z, z = 3*g - 14 - 1515. What is the remainder when g is divided by 16?
15
Suppose -9*r - 191 = -10*r. Suppose 8*w - r = -15. Suppose -2*c - 3*c - 2*o + 26 = 0, 0 = 4*c - 2*o - 28. What is the remainder when w is divided by c?
4
Let u = -27 - -52. Let d = u + -17. Suppose 27 + 55 = 4*h + b, -2*h + 44 = -b. Calculate the remainder when h is divided by d.
5
Suppose 4*m = -5*t + 36, -m = -3*m + 4*t + 18. Calculate the remainder when 10 is divided by (-3)/(m/(-15)) + -2.
1
Calculate the remainder when 53 is divided by ((-2295)/90)/((2/(-4))/1).
2
Suppose -2*u + 3*x = 4 - 61, -100 = -5*u - x. Calculate the remainder when 205 is divided by u.
16
Let q(p) = 2*p - 9. Let b be q(6). Suppose -4*k + 147 = -3*t, -5*k + b*t + 181 = 2*t. What is the remainder when k is divided by 19?
17
Let k(u) = -u**2 + 12*u - 20. Let g(f) = 48*f + 5. What is the remainder when g(1) is divided by k(9)?
4
Suppose -v = -18*v + 918. Calculate the remainder when 103 is divided by v.
49
Suppose 4*f = -2*j + 114, j - 3*j + f = -94. Suppose -10*d + 7*d = -72. Let o = -11 + d. What is the remainder when j is divided by o?
10
Let p = -1179 + 1196. Suppose 3*o + 3 - 153 = 0. What is the remainder when o is divided by p?
16
Suppose -i - 4*i + 2*f - 20 = 0, i - 19 = 5*f. Suppose -6 = -4*s + 6. What is the remainder when (-12)/(-3) - 6 - i is divided by s?
1
Let c be 9/(9/4) + 1. Suppose a - 61 = -2*a + 2*z, -c*z - 59 = -2*a. Calculate the remainder when a is divided by 10.
7
Suppose 51*i - 50*i = 4. Suppose 165 = 5*f + p - 6*p, 0 = -5*p. Calculate the remainder when f is divided by ((-3)/(-6))/((12/i)/102).
16
Let v = 124 + -89. Suppose k = -300*o + 301*o - 96, 0 = -o - k + 106. What is the remainder when o is divided by v?
31
Suppose -b - 2*b + 210 = 0. What is the remainder when b is divided by 46/3 - 1840/552?
10
Suppose -i = 3, i + 23 = -5*y + 110. Let a = 38 - y. Calculate the remainder when a is divided by 12.
8
Let w(f) = f**2 + 9*f + 302. What is the remainder when w(-16) is divided by 26?
24
Let p = -80 - -133. Let r = -41 + p. Calculate the remainder when 40 is divided by r.
4
Let a = -127 - -216. Let u(s) = 21*s**2 + 2*s. Let h = -21 + 22. What is the remainder when a is divided by u(h)?
20
Let l = -77 - -99. What is the remainder when 105 is divided by l?
17
Let k = 0 - -43. Calculate the remainder when k is divided by 23.
20
Let j = 432 + -427. Calculate the remainder when 48 is divided by j.
3
Let j = 798 + -710. What is the remainder when j is divided by 31?
26
Suppose -15 - 41 = 4*r. Calculate the remainder when 10 is divided by 21/r - (-34)/4.
3
Let c = 16 + 6. Let k = 17 - 2. Let w = k + -9. Calculate the remainder when c is divided by w.
4
Let h(l) = 2*l**3 + 26*l**2 - 3*l - 29. Suppose -z = -0 - 25. What is the remainder when z is divided by h(-13)?
5
Let d = -25 - -27. Suppose -3*j + 324 = j. Calculate the remainder when j is divided by d + (4/(-6))/(6/(-171)).
18
Suppose -3*p = q - 540, q + 3*q = 0. Let i = p - 112. Suppose 0 = 4*n + 4*r - 68, n - 5*r - i = -3*n. Calculate the remainder when 33 is divided by n.
16
Calculate the remainder when 66 is divided by (4/14)/(12837/987 - 13).
19
Suppose -2*a + 150 = 2*a - 2*m, 4*m = -3*a + 118. What is the remainder when 62 is divided by a?
24
Let u(y) = -6*y + 4. Let j be u(5). Let v = 40 - j. Suppose -n - 37 = -2*x - 6*n, 0 = 3*x - 3*n - v. What is the remainder when 83 is divided by x?
20
Suppose 2*i - 3 = v, -2*i - 13 - 4 = -5*v. Suppose -4*m + 54 = 2*a, -10*a = -6*a + i. Calculate the remainder when 54 is divided by m.
12
Let q = 543 - 511. What is the remainder when 1278 is divided by q?
30
Let n = 13 + -5. Suppose 2*y + 2 = -n. Let f = 5 - y. What is the remainder when 18 is divided by f?
8
Suppose -4*w = -8, 3*i + w = -135 + 572. What is the remainder when i is divided by 73?
72
Suppose 0 = -5*l - 5, 3*t + 12 = l + 31. Let c = t - -2. What is the remainder when 78 is divided by c?
6
Let r(o) = o**2 + 5*o + 5. Let u be r(-5). Let i be 5 - (2 + -1) - u. Calculate the remainder when ((-7)/14)/(i/200) is divided by 26.
22
Let t = -1 + 43. What is the remainder when 11 is divided by t/10 + 28/35?
1
Let k = -48 + 192. Suppose 0 = -3*w + k - 12. What is the remainder when w is divided by (-82)/(-7) - 4/(-14)?
8
Let z = -75 + 107. Suppose -z - 4 = -4*s. What is the remainder when 3*29 + (8 - s) is divided by 22?
20
Suppose 0 = 5*n - 309 + 84. What is the remainder when n + -1 + 4/(-2) is divided by 156/7 - 4/14?
20
Suppose 12*h - 7*h + 238 = 3*n, 5*n + 3*h - 340 = 0. What is the remainder when n is divided by 11?
5
Suppose 5*o - 225 = -55. Let p(d) = 2*d**2 - 5*d + 16. Calculate the remainder when o is divided by p(3).
15
Calculate the remainder when 116 is divided by (5/(-10) + 1)*34.
14
Suppose -4*f - 10*c = -6*c - 184, -186 = -4*f - 5*c. Suppose -5*a + 106 - 26 = 0. Calculate the remainder when f is divided by a.
12
Suppose 4*l = 12*a - 15*a + 34, 3*a - l = 14. What is the remainder when 71 is divided by a?
5
Suppose -2*o + 5*r = -38 - 31, 2*r + 183 = 5*o. Calculate the remainder when o is divided by 13.
11
Suppose -4*k - 4 = i + 3*i, 2*k - i + 5 = 0.