- 6*a = 3*w + 55, -3*a - 33 = -5*w. Let m(p) = -3*p - 16. Suppose -11*v - 4*v = -465. Calculate the remainder when v is divided by m(a).
14
Let f = 698 + -486. Calculate the remainder when f is divided by 31.
26
Let t be 32/10*4*5. Suppose -4*b = -b - 4*f - 21, 0 = -5*b - 3*f + t. Suppose 5*i = 9 + 11. Calculate the remainder when b is divided by i.
3
Suppose 4*k - 7 = 2*d - 3, 0 = 2*d - 5*k + 8. Calculate the remainder when ((-86)/d)/(1/(-3)) is divided by 15.
13
Let w(q) = q - 1. Let t be w(1). Let u = 383 + 14. Suppose t = 3*v - u + 118. What is the remainder when v is divided by 24?
21
Suppose -l - 1 = -7. Calculate the remainder when (9/3)/(l*3/420) is divided by 19.
13
Let x = -6 + 12. Let v(u) = 2*u**2 + 7*u + 4. Let c be v(-9). Suppose -13 = 9*s - c. Calculate the remainder when s is divided by x.
4
Let j = 292 + -239. What is the remainder when j is divided by 27?
26
Calculate the remainder when (-6930)/(-36) - (0 - 1/2) is divided by 15.
13
Suppose -17 = -3*a + 52. Suppose 75*v + 72*v - 868 = 133*v. Calculate the remainder when v is divided by a.
16
Suppose 0 = c + c - 76. Let q(y) = 4*y + 255. What is the remainder when q(-36) is divided by c?
35
Let y(o) = o + 15. Let v be y(-15). Suppose 3*k - 13*k + 1380 = v. Calculate the remainder when k is divided by 35.
33
Let v(z) = -z + 5. Let g be v(3). Suppose g*b = 21 + 1. Let c(w) = -w - 1. What is the remainder when b is divided by c(-4)?
2
Suppose 2*z + 2*i = 5 + 5, 0 = 5*i. Suppose -z*b - 77 + 25 = -q, -4*b = -q + 47. What is the remainder when 52 is divided by q?
25
Calculate the remainder when (-120)/420 - (1 + (-1266)/21) is divided by 10.
9
Suppose q + 21 = -n, 0*n - 2*q + 38 = -2*n. Let f = -44 - n. Let j = f - -46. What is the remainder when j is divided by 12?
10
Suppose 0 = 23*j - 32*j + 603. What is the remainder when j is divided by 4?
3
Let h = 230 - -442. Suppose 8*j = -4*j + h. What is the remainder when j is divided by 15?
11
Let c = 2 - -2. Suppose -c*a + 479 = 5*f + 41, -4*f + a + 342 = 0. Let k(d) = d**2 + 37*d + 254. What is the remainder when f is divided by k(-8)?
20
Suppose -3*v + 5*v - 50 = 0. Let i = 34 - v. Calculate the remainder when (-94)/(-6) - (-1)/3 is divided by i.
7
Suppose 2*p = 5*d + 313, -106 = 2*d + 5*p - p. Let c = 171 + d. What is the remainder when c is divided by 56?
54
Suppose 2*s + 2 = 5*m - 8, -3*m = s + 5. What is the remainder when 1/((-6)/10)*-9 is divided by 10 + (-4 - m - -2)?
7
Suppose -4*u + 4 = -0. Suppose 0 = -q + u + 4. Suppose -q*t = -5*z - 100, 5*z + 1 + 3 = t. Calculate the remainder when 47 is divided by t.
23
Let s be (-1276)/2*6/(-12). Suppose s + 45 = 4*g. Suppose -4*a - 32 = -124. Calculate the remainder when g is divided by a.
22
Suppose w - 31 = 4*l, 4*w - 3*l = w + 57. Calculate the remainder when 277 is divided by w.
7
Let h = 45 + -39. Suppose 363 = h*f - 573. What is the remainder when f is divided by 32?
28
Let r = -19 - -27. Let o = -4 + r. Suppose -16 + 52 = o*l. Calculate the remainder when 25 is divided by l.
7
Suppose -p = -8*g + 9*g - 31, 5*g - 3*p - 195 = 0. Calculate the remainder when 8*3/g*3 + 91 is divided by 16.
13
Let d(k) = k**2 - 22*k - 33. What is the remainder when 107 is divided by d(25)?
23
Suppose 108 - 552 = -37*k. Calculate the remainder when 262 is divided by k.
10
Let s(i) = -i**3 + 60*i**2 - 852*i + 52. Suppose 0 = 6*c - 2*c - 40. What is the remainder when s(37) is divided by c?
5
Suppose -172 + 116 = -7*a. Calculate the remainder when 127 is divided by a.
7
Let h(s) = -s**2 + s - 25*s**3 + 1 + 5*s**3 + 0*s. What is the remainder when 35 is divided by h(-1)?
16
Suppose 0*n + 10*n - 410 = 0. Let m = -8 + 18. Let d = m - -4. What is the remainder when n is divided by d?
13
Let o(u) = -10*u - 3. Let j be o(-3). Let q = j + -16. Let n = -42 + 61. What is the remainder when n is divided by q?
8
Let c(u) = u**3 + 5*u**2 - 3*u - 3. Let r be c(-5). Let q be (-1)/(-4) - (-68)/(-16). Calculate the remainder when 43 is divided by 2 - (r/q + -18).
20
Let n = 42 + -31. Suppose 0 = -8*u + 5*u - 474. Calculate the remainder when u/(-8) - (-4)/16 is divided by n.
9
Let w(f) = -f + 8. Let b(a) = -3*a + 15. Let g(t) = 4*b(t) - 9*w(t). What is the remainder when (1*(11 + 0))/1 is divided by g(-6)?
5
Let b(f) = -9*f**2 - 3*f. Let z(y) = 17*y**2 + 6*y - 1. Let w(d) = -9*b(d) - 4*z(d). What is the remainder when w(3) is divided by 19?
16
Let d(f) = -159*f**3 - 4*f**2 - 3*f. What is the remainder when d(-1) is divided by 32?
30
Let w(r) be the second derivative of 2*r**3/3 - r**2 - 5*r. Let h(f) = f**3 + 7*f**2 - 10*f - 2. Calculate the remainder when w(7) is divided by h(-8).
12
Suppose -5*i - 7*m = -8*m - 115, 0 = -5*i - 4*m + 90. Calculate the remainder when 65 is divided by i.
21
Let w(h) be the third derivative of h**4/12 - 13*h**3/2 - 23*h**2. Calculate the remainder when 2 + 0 - (-1)/1 is divided by w(21).
0
Suppose -4*b + 4*b + 5*b = 0. Suppose -j - 4*u + 37 = b, -3*u + 91 = 3*j - u. Suppose -3*c + 26 + 4 = 0. Calculate the remainder when j is divided by c.
9
Let a be (-3)/2 + 45/(-10). Calculate the remainder when 4 is divided by a/4 - 21/(-6).
0
Let y = -318 - -367. What is the remainder when y is divided by 41?
8
Let g(h) = h - 1. Let c(l) = 4*l + 2. Let q(o) = -c(o) + 8*g(o). Let u(d) = -d**3 + 7*d**2 - 5*d + 1. Calculate the remainder when u(6) is divided by q(3).
1
Suppose -569*c + 586*c - 561 = 0. Calculate the remainder when 115 is divided by c.
16
Let w = 124 - 113. Calculate the remainder when 18 is divided by w.
7
Suppose 133 - 5 = 4*s. Let f = 1059 - 900. What is the remainder when f is divided by s?
31
Let f(m) = 2*m - 17. What is the remainder when 29 is divided by f(15)?
3
Suppose 4*y + 235 = 9*y. Suppose x = 4*g - 55, -x + 6 = -3*g + y. What is the remainder when 27 is divided by g?
13
Let i(y) = y**3 + 12*y**2 - 13*y - 2. Let q be i(-13). Suppose -5*n + 71 = -24. What is the remainder when n is divided by 0 - q - (-4 + 1)?
4
Suppose 9 - 1 = 2*s. Let b = -101 - -104. Calculate the remainder when s is divided by b.
1
Let w be 4*(0 + 1) + -2. Suppose 0 = a - w - 13. Suppose -7*c - 1646 + 1688 = 0. Calculate the remainder when a is divided by c.
3
Suppose 3*t - 316 - 85 = -s, 0 = -4*s + 3*t + 1574. Calculate the remainder when s is divided by 44.
43
Calculate the remainder when 607 is divided by (-156)/52 - (2/1 + -18).
9
Let a(c) = -25*c - 81. Calculate the remainder when 341 is divided by a(-4).
18
Let v(n) be the first derivative of 3*n**2/2 - 4*n - 8. Let l(m) = 14*m**3 + m. What is the remainder when l(1) is divided by v(4)?
7
Let l(g) = -4*g**2 - 41*g - 58. Calculate the remainder when 80 is divided by l(-8).
10
Let c(p) = -5*p - 35. Let y be c(-7). Suppose y = -h + 5 + 21. Suppose 0*a - 505 = -5*a. Calculate the remainder when a is divided by h.
23
Suppose -6 = -z - 2, -3*n - 1 = -4*z. What is the remainder when 33 is divided by n?
3
Suppose -17*g = -238 - 442. Calculate the remainder when 398 is divided by g.
38
Suppose -c = 4*f - 190 + 32, 3*c + 86 = 2*f. Calculate the remainder when f is divided by 24.
16
Suppose -3*a + 55 = a - g, -2*a - 4*g = -14. What is the remainder when 139 is divided by a?
9
Let c(v) = 3*v**2 + v + 10. Let w be c(-3). Suppose 0*a = -t - 3*a + w, -t - a = -26. Calculate the remainder when t is divided by 8.
6
Let y = 5 + -5. Suppose 0 = -4*g + 4 + 4. Suppose y = -2*m - g + 18. Calculate the remainder when 15 is divided by m.
7
Suppose -20*p + 8204 = 8*p. Calculate the remainder when p is divided by 85.
38
Suppose 0 = 5*y + s - 68, -y - s + 7 = -5. Suppose -3*n = -103 - y. What is the remainder when 152 is divided by n?
35
Let h(k) = 30*k + 341. What is the remainder when h(-6) is divided by 55?
51
Let c(a) = 0*a - 9*a - 2*a + 29 + 2*a. What is the remainder when c(-5) is divided by 11?
8
Suppose -4*z - 5*u + 47 = -2*z, 3*z - 66 = -3*u. What is the remainder when 120 is divided by z?
15
Calculate the remainder when 490/8 + (19/4 - 4) is divided by 22.
18
Let r(s) = -s**3 - 15*s**2 - 50*s + 14. Calculate the remainder when 24 is divided by r(-10).
10
Let g be 1/(8/6 - 1). Suppose -6 = -3*j, -g*j = 2*o - o - 37. Let m(p) = 15*p + 1. What is the remainder when o is divided by m(1)?
15
Let y be (-15 - (2 + 1)) + -3. What is the remainder when 13 is divided by (