the remainder when v(29) is divided by 3.
1
Let m = -80 - -440. Suppose 0 = -4*x - 0*x + m. Let n = x + -84. Calculate the remainder when 23 is divided by n.
5
Calculate the remainder when 383 is divided by 32 - (-96)/(-36)*-3.
23
Let o(k) = -2*k**3 - 20*k**2 - k - 12. Let y be o(-10). Let z(s) = 5*s - 51. What is the remainder when 2 - 336/(y - 2) is divided by z(16)?
28
Let k(r) = -372*r - 361. What is the remainder when 293 is divided by k(-1)?
7
Suppose -1494 + 391 = -5*f - 4*k, f - 211 = 4*k. What is the remainder when 435 is divided by (-116)/174*f/(-2)?
70
Let d be (-2344)/(-18) + (-26)/117. Suppose 0 = 5*g - 5*l - d, 4*l + 102 = 5*g + 6*l. Calculate the remainder when 39 is divided by g.
17
Suppose 3*b = g + 97, -4*b - 4*g = -13 - 95. Suppose 5443 = b*h - 2710. Calculate the remainder when h is divided by 91.
81
Suppose -3*l + 3 = 0, -4*l + 6*l - 64 = -a. Calculate the remainder when 38 is divided by (93/a)/((-1)/(-14)).
17
Suppose 0 = -2*s + 2*j, -5*s + 6*j + 6 = 3*j. What is the remainder when 16 is divided by s?
1
Let z = -3321 + 3372. What is the remainder when 2409 is divided by z?
12
Suppose -21 = -3*r + 33. Let h(q) = q**2 + q - 7. What is the remainder when h(-7) is divided by r?
17
What is the remainder when 377 is divided by (-3 + 2)/((-78)/9516)?
11
Let v be ((-4)/12 - 24/9) + 5. Calculate the remainder when (103 - v)*20/20 is divided by 4/6 - (-200)/6.
33
Suppose 0 = -3*r + 3*p + 306, -r + 33 = p - 51. Suppose -19 = -2*q + 9. Calculate the remainder when r is divided by q.
9
Suppose 3*x - 5804 = 2*f, -20*x = -21*x + 3*f + 1916. Calculate the remainder when x is divided by 163.
147
Suppose 140 = 2*i - 0*i. Let y = -6279 + 6283. What is the remainder when i is divided by y?
2
Let v be (15/(-22) + (-32)/(-176))*-348. Suppose 0 = 4*p - 398 - v. What is the remainder when p is divided by 36?
35
Let s(y) = -4*y**3 - 17*y**2 - 11*y - 63. What is the remainder when 123 is divided by s(-5)?
56
Let g be 13136/32 + 9/(-6). Suppose 31*x + g = 4408. What is the remainder when x is divided by (1 - 6/4)*-26?
12
Suppose -13*w + 19*w = 822. Let a = w - 14. What is the remainder when a is divided by (-16)/(-12)*(2 - -22)?
27
Let l = -72869 + 72929. Let m(c) = -c**2 - 9*c + 5. What is the remainder when l is divided by m(-7)?
3
What is the remainder when -9 - (-657 + -5 + -6 + 3) is divided by 132?
128
Let s(h) = -h + 13. Let a(k) = -k**3 - 3*k**2 - 6. Let v be a(-3). Let b be s(v). Suppose r = b - 2. What is the remainder when 78 is divided by r?
10
Suppose -5*s + 8*s = 210. Let r = -49 + s. Suppose 0 = -5*m + 20 + 280. Calculate the remainder when m is divided by r.
18
Calculate the remainder when 4958 is divided by 5/(-20) + 495/24 + 6/(-16).
18
Let y = -47 + 62. Suppose 3*o - y = 12. Let d = o - -25. What is the remainder when d is divided by 19?
15
Let w(j) = -j - 18. Let f be w(-21). Suppose 19 = -3*k - d, 4*k + d + 20 = -f*d. Let t = 75 + k. Calculate the remainder when t is divided by 18.
14
Let i(d) = -15*d + 13. Let l be i(0). What is the remainder when (l - 3) + 0/(-1) + -5 is divided by 4?
1
Let f be (-2)/6 + (-1 - (-176)/(-12)). Let q be (-12)/f - 1514/(-8). Calculate the remainder when 69 is divided by (-1)/(-4 - q/(-48)).
21
Let z(t) = -617*t + 14637. Calculate the remainder when z(-12) is divided by 132.
129
Suppose -9*x = 34*x - 2265 - 1519. What is the remainder when 399 is divided by x?
47
Suppose -1582*l = -1595*l + 8541. Calculate the remainder when l is divided by 33.
30
Suppose -360 = -3*j - 21*j. Calculate the remainder when 381 is divided by j/(-20) - (-892)/16.
51
Let v be 12/(4 - 303/78). Suppose 29*t - v = 25*t. Let i(l) = 100*l**2 + 2*l - 1. Calculate the remainder when i(1) is divided by t.
23
Let f(h) = 7*h**2 - h - 13. Suppose 6*r + 3 = -15. Let p be f(r). Suppose -p*k + 124 = -49*k. What is the remainder when k is divided by 10?
1
Let t(g) = 15*g. Suppose 2*k + 1148 = 4*a + 7*k, -3*a - 3*k + 858 = 0. Calculate the remainder when a is divided by t(1).
12
Suppose 0 = 634*v - 76109 + 8271. What is the remainder when v is divided by 54?
53
Let b = 10 - 8. Suppose 0 = -0*i + i + b*y - 296, 910 = 3*i - 5*y. Calculate the remainder when i/(-18)*-6 + -3 is divided by 11.
9
Let o(s) = 3*s**2 + 10*s - 3. Let w be o(-5). Let x be 8*(-2 - w/(-8)). Suppose -3*t = 0, 5*b - 185 = -5*t + x*t. What is the remainder when b is divided by 19?
18
Let h = 78 - -14. Suppose -s + 210 = 2*v, -v - 4*s - 293 = -4*v. Let b = v + -72. Calculate the remainder when h is divided by b.
30
Let r(h) = 4*h**2 + 113 - 7*h**2 - 86 + 72*h. Calculate the remainder when (52 + -1)/(-2 - -3) is divided by r(24).
24
Let u be (78/(-12))/(-1)*(-6)/3. Let g = 35 + u. Calculate the remainder when 302 is divided by g.
16
Let q = -12 + 22. Suppose 0 = -h + 4*x + 36, 2*h - 354*x = -357*x + 39. Calculate the remainder when ((-5)/q)/(2/(-660)) is divided by h.
21
Calculate the remainder when 6/12 + 1710/36 is divided by 37.
11
Let x = -34 - -150. Calculate the remainder when 2/(x/36 + -3) is divided by (-1 + -4)*(-16 + 15).
4
Calculate the remainder when 7896 is divided by (-5270)/(-4)*(-4)/(-100) - 588/(-1960).
52
Suppose 6*p - 2801 = -617. Suppose -17*f + 24*f = p. What is the remainder when 152 is divided by f?
48
Let w = 197 + -10. Let a = -15 + w. Calculate the remainder when a is divided by 61.
50
Let q be (1 + 3)*(-96)/(-128). Suppose -4*g = g + 15, 0 = q*d + g - 129. What is the remainder when d is divided by 6?
2
Let r(k) = -287*k + 116. Let p be r(4). What is the remainder when 7902/22 + -8 + p/(-132) is divided by 30?
29
Let i be (1 + 0)*-1*-4. Let d(y) = -y**2 + 5*y + 3. Suppose 4*w - 86 = -5*k, -2*w - 4*k + 24 = -22. Calculate the remainder when w is divided by d(i).
5
Let m(j) = 96*j - 3741. Calculate the remainder when 405 is divided by m(43).
18
Suppose -2*i + 7*v - 3*v + 128 = 0, 4*i = 2*v + 280. Suppose 45 + 643 = 8*z. Let j = z - i. Calculate the remainder when 110 is divided by j.
12
Let p = 8105 + -8071. What is the remainder when 474 is divided by p?
32
Let d(n) = -4*n**3 + 11*n**2 + 28. Calculate the remainder when d(-7) is divided by 121.
3
Suppose h = -3, -5*h = 2*a - 3*a + 51. Let f(v) = -51*v + 2. Let g be f(1). Let l = 69 + g. Calculate the remainder when a is divided by l.
16
Let s(a) = a**3 - 4*a**2 - 11. Suppose -x + 3 + 5 = 0. Suppose -3*q + x*t + 168 = 5*t, 176 = 3*q - 5*t. Calculate the remainder when q is divided by s(5).
10
Suppose -n + 77 = 11*u - 6*u, 2*n + 5*u = 134. What is the remainder when n is divided by 15?
12
Let j(v) = -16*v - 3*v**2 + 5*v**2 + 196 + 4*v - 121 - 10*v. What is the remainder when 972 is divided by j(6)?
12
Let a(v) = v**3 - 14*v**3 + 3*v + 6*v**2 - 3*v**2 + 2. Suppose 46 = 406*i - 429*i. What is the remainder when a(i) is divided by 23?
20
Suppose 0 = -2*i + 5*n + 56, -5*i - 3*n + 110 = 32. Calculate the remainder when 3400 is divided by i.
16
Let s(x) = -4*x**3 - 5*x - 7. What is the remainder when s(-3) is divided by (138/(-23))/(6/(-20))?
16
Let u(h) = 2*h - 2. Let y(f) = 9*f + 7. Let c(a) = -5*u(a) + y(a). What is the remainder when 30 is divided by c(7)?
0
Let z = -12 + 39. Let l(p) = 14*p + 240. Suppose -q - 13 = n, -64*q = -n - 63*q - 19. Calculate the remainder when z is divided by l(n).
11
Suppose 4*l - 3*l = r + 605, -2*r = 4. What is the remainder when l is divided by 31?
14
Let y = -193887 + 193902. What is the remainder when (-5)/(10/4) + 97 is divided by y?
5
Let g(x) = -x**3 + 5*x**2 + 114*x + 32. What is the remainder when g(13) is divided by 18?
0
Let q(m) = -2*m + 38. Let r be q(17). Let o = r - -29. Calculate the remainder when 38 is divided by o.
5
Let s(r) = -r**3 - 8*r**2 + 16*r - 28. Let v be s(-10). Suppose v*n + 465 - 3705 = 0. Calculate the remainder when n is divided by 17.
15
Suppose 50*k = 52*k + z - 129, -k + 62 = -2*z. Let h = -47 + 52. Suppose 2*p + 4*o = 22, h*o - 39 - 31 = -5*p. What is the remainder when k is divided by p?
13
Let b be (-81)/(-15) - (26/(-10) - -2). Let o be (200/(-15))/(b/(-27)). Suppose -4*v + o = -60. Calculate the remainder when v is divided by 11.
8
Suppose 2*k + 23*k - 364 = -27*k. Suppose -2*q - 3*f = -580, 7*f - 2*f + 612 = 2*q. Suppose -h = -5*h + q. Calculate the remainder when h is divided by k.
4
Suppose 0 = d - 92 - 121. Calculate th