v + 81 = 0, 4*v + 115 = -4*a + 3*v. Let u = a + r. Calculate the remainder when u is divided by 1.
0
Let b = 15 + -9. Let x = -1 + b. Let w(j) = 4*j**2 + 2*j - 1. What is the remainder when w(-2) is divided by x?
1
Let w(q) = -q**2 - 12*q - 14. Suppose 32 = -6*b + 3*b + 2*c, 3*b = 5*c - 44. Calculate the remainder when 69 is divided by w(b).
15
Suppose 1088 = 21*g + 13*g. Calculate the remainder when 59 is divided by g.
27
Let p = -292 + 300. What is the remainder when 53 is divided by p?
5
Suppose 18*v - 549 = 9. Calculate the remainder when 43 is divided by v.
12
Let t = 208 - 183. What is the remainder when t is divided by 14?
11
Let z(a) = 2*a - 8. Let s be z(5). Suppose s*w = 3*c + 6*w - 152, 0 = 2*w + 2. Calculate the remainder when c is divided by 18.
16
Suppose 0 = z - 4*n - 29, 0 = 5*z + 3*n - 30 - 23. Let k = 19 + -19. Calculate the remainder when (20*2 - k) + -3 is divided by z.
11
Let a(g) = 3*g - 3. Let t(d) = -d + 9. Let q be t(7). Suppose 2 = -4*c - l + 35, -2*c + q*l = -24. What is the remainder when c is divided by a(3)?
3
Let l = 23 - -7. Calculate the remainder when l is divided by (3 + -1)*(-5 + 9).
6
Suppose 0 = 9*u - 250 - 569. Calculate the remainder when u is divided by 46.
45
Let s(p) = p**3 + 8*p**2 + 4*p - 3. Suppose -6*w + w - 34 = 3*q, -3*q - 3*w = 24. Let b = -9 - q. What is the remainder when s(b) is divided by 12?
9
Suppose 2*r = -6 + 62. Let j(o) = -61*o - 195. What is the remainder when j(-5) is divided by r?
26
Let t(k) = 11*k**2 - 8*k + 10. What is the remainder when 181 is divided by t(1)?
12
Calculate the remainder when 86 is divided by ((-4)/(-4) + 7)/(2/12).
38
Suppose -t + 13 = -21. What is the remainder when ((-6)/((-288)/(-312)))/((-1)/10) is divided by t?
31
Let z(i) = 16*i + 146. Calculate the remainder when z(-6) is divided by 29.
21
Suppose h - 27 = 21. Suppose 4*s - h = -2*l, 4*s = 3*l + 46 + 12. Let i = 95 - 46. Calculate the remainder when i is divided by s.
10
Let q be -10*(1 - (-18)/4). Let t = -6 - q. What is the remainder when t is divided by 10?
9
Let j = -6 - -35. What is the remainder when 86 is divided by j?
28
Suppose 2*m - 4*u + 2*u - 20 = 0, -4*u = 0. Suppose -5*w = -m - 90. Let q(t) = -t + 23. Calculate the remainder when q(w) is divided by 1.
0
Let h be (-40)/(-4) + -3 + -1. Let g be (2822/51)/((-2)/h). Calculate the remainder when 30/75 + g/(-10) is divided by 9.
8
Let i(k) = -14*k**2 - 4 - k**2 + k**3 + 3*k**2. Let s be i(12). Let f(l) = 3*l**2 - 2*l - 5. Calculate the remainder when f(s) is divided by 13.
12
Let s(w) be the third derivative of -w**6/120 + 7*w**5/60 + w**4/24 - 4*w**3/3 - 9*w**2. Let p be s(7). What is the remainder when 139/3 + p/3 is divided by 24?
22
Let a(o) = -o**3 + 2*o**2 - o + 10. Suppose 22*z = 18*z. Calculate the remainder when 67 is divided by a(z).
7
Let p = -121 + 220. Let g = -103 + 107. Suppose g*b - 88 = 12. What is the remainder when p is divided by b?
24
Let v(x) = 2*x**2 - 13*x + 9. Suppose 0 = -3*s - 9, 5*w - 19 - 14 = -4*s. What is the remainder when v(w) is divided by (-72)/(-5) + (-6)/15?
12
Let r(n) = n**3 + 9*n**2 - 2*n + 4. What is the remainder when 418 is divided by r(-8)?
82
Let i = -47 - -88. Let w = 117 + -112. Suppose -i = -5*o + w*n + 9, 3*o - 70 = -5*n. Calculate the remainder when 57 is divided by o.
12
Let f(h) = 7*h - 16 + h**2 - 25*h + 12*h. Calculate the remainder when f(15) is divided by 15.
14
Let o(p) = 7*p - 80. Let x(f) = f - 1. Let i(l) = o(l) - x(l). Calculate the remainder when i(21) is divided by 10.
7
Let a be 51/((-4)/5 - -1). Suppose 5*m - a = -0*v + 2*v, -m = 3*v - 68. Suppose 5*i - m - 27 = 0. What is the remainder when 63 is divided by i?
15
Suppose 2*m - 4 + 18 = 2*n, -2*n = -4*m - 20. Suppose 3*g = -12, 0 = 5*u + n*g + 6 - 175. Calculate the remainder when 73 is divided by u.
36
Suppose -2*m = 4*f - 106, -21*m + 17*m + 192 = -2*f. Calculate the remainder when m is divided by 12.
1
Suppose 9 + 31 = 4*q. Let z be (1 - -3)*6/(-12). Let p = q + z. Calculate the remainder when 13 is divided by p.
5
Let x be (-6)/21 + 430/35. Suppose -64 = x*j - 16*j. What is the remainder when 93 is divided by j?
13
Let y = 1120 - 1053. What is the remainder when y is divided by 20?
7
Suppose -18*b - 30*b + 144 = 0. Calculate the remainder when 18 is divided by b.
0
Let u(d) be the second derivative of -d**5/20 + d**4/3 + d**3/6 + 2*d. Calculate the remainder when u(4) is divided by 1/((4 + -8)/(-12)).
1
Let y(o) = 9*o**3 + 2*o**2 + 2*o - 1. Let i be y(2). Let a = 179 - i. Let l = -7362 + 7395. What is the remainder when a is divided by l?
30
Let s(l) = 3*l**2 + 6*l - 3. Let r be s(-3). Suppose 0 = r*q - 7*q + 35. What is the remainder when q is divided by 12?
11
Let w(q) = 147*q**2 + 3*q - 2. Let c be w(1). Suppose -a = 2*u - c, -4*u - 5*a - 21 = -305. Let o = 4 - -22. Calculate the remainder when u is divided by o.
24
Let g(t) = t**3 + 8*t**2 + 11*t + 17. Suppose 176 = 2*u - 4. What is the remainder when u is divided by g(-6)?
21
Let u be 238/(-8) - 15/12. Calculate the remainder when (4 - 6) + (-5 - u) is divided by 14.
10
Let o(f) = f**2 - 26*f - 70. What is the remainder when 31 is divided by o(-3)?
14
Let r = 139 - 119. What is the remainder when r is divided by 20?
0
Let d(j) = 16*j - 202. Suppose -r = 3*y - 220 + 17, 3*y + 221 = r. Calculate the remainder when r is divided by d(16).
50
Suppose -3*a + 27 = c - 12, -2*c - 4*a = -76. Suppose 19 = -d + 2*d. Calculate the remainder when c is divided by d.
17
Suppose -3*r = -2*q + 2*r + 547, -r - 1049 = -4*q. Calculate the remainder when q is divided by 66.
63
Let k = 175 + -172. Suppose 4*d = 27 + 45. Calculate the remainder when -71*3/(k/(4/(-4))) is divided by d.
17
Let u(b) = -b**2 - 11*b - 3. Calculate the remainder when u(-7) is divided by 3.
1
Let u = -68 + 95. Let q(d) = -10*d - 15. Let f be q(-13). Suppose 5*h - f = 140. Calculate the remainder when h is divided by u.
24
Let x = 490 + -467. Calculate the remainder when 61 is divided by x.
15
Let c be (-28)/21 + 1 + 34/3. Suppose 52 = -7*h + c*h. Let u(o) = 19*o. What is the remainder when u(2) is divided by h?
12
Let m = 23 + -20. Let a = 7 + m. What is the remainder when 17 is divided by a?
7
Suppose -8*t + 3*t = 0. Suppose t = -3*d + 6. Suppose d*k + 5*m = 4*m + 21, 59 = 5*k - 4*m. What is the remainder when 31 is divided by k?
9
Let q be (-1 - 3) + (-20)/(-2). Suppose q = 5*f - 3*d, 3*f + 2 = -2*f - d. Suppose 0*g - 4*g + 336 = f. Calculate the remainder when g is divided by 17.
16
Suppose 11 = 5*z + 31. Let d = 4 + z. Suppose m + 4*m = d, -3*j + 90 = -3*m. Calculate the remainder when j is divided by 11.
8
Let j(b) = -b**3 + 6*b**2 + 17*b - 46. Calculate the remainder when 71 is divided by j(7).
23
Calculate the remainder when -19 - -296 - 0/2 is divided by 8.
5
Let k = 10 + 11. Suppose 9 - 7 = -b, -4*g - 5*b + 398 = 0. What is the remainder when g is divided by k?
18
Suppose -11*t + 1711 = -1226. Calculate the remainder when t is divided by 66.
3
Let j = 107 - 96. What is the remainder when 40 is divided by j?
7
Suppose -5*p + 2*w + 24 = -28, -2*w - 4 = -p. Suppose -p*f = -307 - 509. What is the remainder when f is divided by 7?
5
Let x = -120 - -545. What is the remainder when x is divided by 205?
15
Let o be (-15)/(-6)*(3 + -1). Suppose 11 + 9 = o*r. Suppose r*p + 0*p - 12 = 0. Calculate the remainder when p is divided by 1.
0
Suppose 2*p + 424 = 4*b + 6*p, 0 = -b - 3*p + 106. Calculate the remainder when 313 is divided by b.
101
Let q = 7 + -2. What is the remainder when 44/3 + q/15 is divided by (16 + 2)*2*(-2)/(-8)?
6
Suppose -79*l + 14 = -72*l. Suppose -5*o + 239 = -i, -4*o - l*i + 9 = -171. Let k(d) = d**3 - 2*d**2 - 4*d. Calculate the remainder when o is divided by k(4).
15
Let v be -10*(0 - (-3)/(-6)). Let n(c) = 5 - 3 + 9*c + 2. Calculate the remainder when n(v) is divided by 10.
9
Calculate the remainder when 308 is divided by 8*(-6)/(-48) + 38.
35
Suppose 6*s = 2*s - 4*x + 208, 3*s - x - 136 = 0. Suppose -5*z = -5*w - 168 + 13, 5*z - 140 = 2*w. Calculate the remainder when s is divided by z.
21
Suppose -5*q - 113 = -638. What is the remainder when q is divided by 24/56*7 - -9?
9
Let a = 395 + -333. Calculate the remainder when 245 is divided by a.
59
Suppose -3*w + 561 = -4*m + 2*w, w + 579 = -4*m