b + 12769 = 0. Calculate the remainder when f is divided by 20.
17
Suppose 0 = 76*b - 75*b - 52. Let w(v) be the second derivative of v**4/12 + v**3/3 + 15*v**2/2 - 9*v. What is the remainder when b is divided by w(0)?
7
Let y be (-1)/(0 - (-4)/452). Let r = y - -302. Suppose -4*t = -5*o - 8 - 71, 3*o = -3*t + 39. Calculate the remainder when r is divided by t.
13
Suppose 45 = 3*a + 6*a. Suppose a*y + 5*u - 185 = 0, -2*y - y - 2*u + 110 = 0. What is the remainder when 136 is divided by y?
28
Suppose -9*n = 362 + 196. Let c = 81 + n. What is the remainder when 225 is divided by c?
16
Suppose -3394 = 19*o + 4092. Let c = o - -457. Calculate the remainder when c is divided by 19.
6
Let n(v) = v**2 + 10*v + 15. Suppose -2*c - 2*c = 2*f + 52, 3*c = 5*f - 65. Let h be n(c). Suppose 7*i - 239 = h. What is the remainder when i is divided by 17?
13
Calculate the remainder when 291 is divided by (-125*(-20)/(-200))/(2/(-4)).
16
Let y = -5372 - -5761. Calculate the remainder when y is divided by 195.
194
Let x be 16/24 - (-52)/12. Suppose -4*t - 2*c = -3*t - 40, 0 = x*t + 4*c - 224. What is the remainder when 108 is divided by t?
12
Let d = -3628 + 3684. Calculate the remainder when 210 is divided by d.
42
Suppose -38 = t - 41, 3*d - 201 = -4*t. What is the remainder when 2895 is divided by d?
60
Let a be (-34)/(-187) - -29*76/(-22). Let o = -77 - a. Let g = -34 - -43. What is the remainder when o is divided by g?
5
Let h = -4797 - -4879. What is the remainder when 148 is divided by h?
66
Suppose h + 35 = d + 11, -73 = -3*d + 4*h. What is the remainder when 758 is divided by d?
22
Suppose -4207*m - 122328 = -4231*m. What is the remainder when m is divided by 51?
48
Suppose z - 65 - 2 = -3*h, 3*z + 3*h - 171 = 0. Suppose -29483*p = -29486*p + n + 57, -p = 4*n - 6. What is the remainder when z is divided by p?
16
Calculate the remainder when ((-176)/5)/(421/(-29470)) is divided by 130.
124
Let i(b) = -3*b**2 + 104*b + 832. What is the remainder when i(40) is divided by 160?
32
Let a be 23 - 27 - (-3 - 1). Suppose 4*s - 8*s + 5*y = -252, a = s - y - 62. Calculate the remainder when s is divided by 21.
16
Suppose -3*l = -3*f - 9, 2*f = -2*l - 7 - 7. Let o be (-8)/(-16) - (-17)/l. What is the remainder when (-112)/6*(2 + o) is divided by 38?
36
Suppose -8*a = -74 - 62. Suppose -663 = -50*d + 162 + 1325. Calculate the remainder when d is divided by a.
9
Let w = -19 + 19. Suppose -4*m = 4*l + l - 416, w = 2*l + m - 164. What is the remainder when 98 is divided by l/6*(-6)/(-4)?
18
Suppose 0 = -w + 3*o + 143, 2*w - 5*o - 258 = 33. Calculate the remainder when w is divided by 635/10 - (-5)/10.
30
Let f be 1/((2 + (-59)/29)/(-1)). Suppose 19 = 2*a + f. Let d(z) = -z**2 - 8*z - 11. Calculate the remainder when 15 is divided by d(a).
3
Calculate the remainder when 926 is divided by (-465)/((-378)/14 + 24).
151
Let v be (-7)/(252/(-8)) - (-68)/18. Suppose 0 = 5*p - 2*x - 48, 2*p - v*x = 18 - 2. Suppose -p*f = -17*f + 553. What is the remainder when f is divided by 28?
23
Let n = -5999 - -6035. What is the remainder when 5758 is divided by n?
34
Suppose 15 = 5*q - n + 3, 0 = -q - 5*n - 8. Let u(y) = -14*y - 17. Calculate the remainder when u(-3) is divided by q.
1
Suppose -3726 = -13*n + 11*n + 3*b, -n + 1827 = 3*b. What is the remainder when n is divided by 77?
3
Suppose -2*m + 162 = 280*w - 279*w, 0 = -5*m - 5*w + 395. Calculate the remainder when 1227 is divided by m.
65
Let b be (12/(-14) + 3/(-21))*-1. Let y(m) = 131*m**3 + m**2 - 1. Let f = 11 + 22. What is the remainder when y(b) is divided by f?
32
Let d be 3/(4*15/40). Suppose 3*f + d*r = 58, -4*f + r = -3*r - 64. Calculate the remainder when f is divided by 4.
2
Let x(o) = 76*o + 5397. Calculate the remainder when 234 is divided by x(-68).
5
Let a(b) = 23*b - 2. Calculate the remainder when a(6) is divided by -3 + 612/16 + 1/((-48)/6 - -4).
31
Let t(j) = j**3 + 12*j**2 - 17. Let s be t(-12). Let y = s + 17. Suppose -3*i = -i + 4*p - 12, i + 5*p - 9 = y. Calculate the remainder when 14 is divided by i.
2
Suppose -6*y = -8*y. Suppose -7*k + 16*k - 1044 = y. What is the remainder when k is divided by 18?
8
Let v(i) = -i**2 - 7*i - 6. Calculate the remainder when 25/((-125)/30)*(3/(-18))/(2/34) is divided by v(-5).
1
Suppose -53*l = -39*l - 742. Calculate the remainder when l is divided by (-54)/(-5) - (-23)/115.
9
Suppose 5*c - 9*c + 24 = 2*z, -c - 1 = -3*z. Suppose 0 = r + z*x - 118, -3*r + 27*x = 22*x - 332. Calculate the remainder when r is divided by 40.
34
Suppose 12 = -3*b + 360. Let v = 45 + -42. Suppose -50 - 1 = -v*r. What is the remainder when b is divided by r?
14
Let p be 0 - 1 - (-11 + 24/3). Calculate the remainder when 171 is divided by 59 - -2 - (p + -2).
49
Suppose 17 - 1 = -4*j, 0 = -t - 2*j - 6. Suppose -4*w = w - s - 600, 2*w = t*s + 240. Suppose -5*y = w - 505. Calculate the remainder when y is divided by 13.
12
Suppose 0 = 4*k - 5*k + 123. Suppose k - 105 = 6*l. Calculate the remainder when 10 is divided by l.
1
Let g be ((-66)/4)/(15/(-50)). Let o = -53 + g. Suppose o*b - 408 = -4*b. What is the remainder when b is divided by 24?
20
Suppose 1101 = 5*v - 4*q, -233*q = 4*v - 236*q - 880. Calculate the remainder when v is divided by 135.
82
Let m = 12 + 225. Suppose -3*o - 217 = -4*a, 2*a - 86 = -5*o - 23. Calculate the remainder when m is divided by a.
41
Suppose -46*m - 18 = -47*m. Let y = 392 + -199. Calculate the remainder when y is divided by m.
13
Suppose -n + 3*p + 0 = 8, 5*p = 4*n + 4. Suppose u - 4*u + 41 = n*m, -33 = -2*u + 3*m. Calculate the remainder when 63 - -3*(9 + -12) is divided by u.
9
Suppose -2*s + 17 + 19 = 3*z, -16 = 4*z. Calculate the remainder when -2*42/s*44/(-2) is divided by 29.
19
Let g(m) = -65 + 55 + 15*m + 2*m**3 + 4*m**2 - 2*m**3 - m**3. Calculate the remainder when 45 is divided by g(6).
5
Let i(y) = -y**3 + 5*y**2 - 5*y - 6. Let n be i(2). Let q(h) = -h**3 - h**2 - 4*h - 8. Calculate the remainder when q(n) is divided by 35.
21
Let p = -3 - -7. Calculate the remainder when ((-64)/80)/((-28)/1070) - (-27)/63 is divided by p.
3
Let y(p) = -42*p - 15. Let b be y(-2). Let f = b - 67. Suppose -f*j = -4*i + 50, -3*i + 37 = -i + 3*j. What is the remainder when 93 is divided by i?
9
Let q = 136 + -132. Suppose q*t = 10*t - 408. What is the remainder when t is divided by 32?
4
Let u(v) = -32*v - 1519. Suppose -n = -2*x + 84, 2*n = 2*x - 134 - 42. Let i = -50 - n. Calculate the remainder when i is divided by u(-48).
8
Let x be 2/15 - (-226120)/600. Let a = -372 + x. What is the remainder when 35 is divided by a?
0
Suppose -10*t + 14278 = 9*t - 8294. Calculate the remainder when t is divided by 149.
145
Suppose 2*b - 325 = -o - 73, 3*o = 2*b - 260. Suppose -6*n - 25 = -b. Calculate the remainder when 43 is divided by n.
9
Suppose 5*y + 0 = 215. Let f(n) = 2*n**2 - 3*n + 50. Let k(i) = i**2 + 11*i + 17. Let j be k(-3). Calculate the remainder when f(j) is divided by y.
40
Suppose -6*h - 34*p + 29*p = -5726, -5*p - 1922 = -2*h. Calculate the remainder when h is divided by 160.
156
Suppose 1575 = -2*j + 107*j. What is the remainder when 1509 is divided by j?
9
Suppose 93 = 20*m - 107. What is the remainder when 112 is divided by m?
2
Let n(d) = d + 23. Let a be 1*-2*(-138)/12. What is the remainder when n(a) is divided by 29?
17
Suppose -3*k + 12679 = -4247. Calculate the remainder when 152 is divided by k/208 + (-2)/16.
17
Suppose -33*q + 37*q + 424 = 0. Calculate the remainder when (12 - 13)/(-2 - q/54) is divided by 20.
7
Let v(j) = 8*j**2 - 15*j - 1. Suppose 8*r + 4 + 12 = 0. Calculate the remainder when v(r) is divided by 11.
6
Let i = 1705 + -860. Calculate the remainder when i is divided by 85.
80
Let r be 1/(-1) + 15/25*-5. Calculate the remainder when (-28)/(2 + -3) - r - -5 is divided by 19.
18
Let o = 343 - 330. Let m(n) = n**3 - 14*n**2 + 14*n + 36. Calculate the remainder when 94 is divided by m(o).
45
Let z(d) = -d**3 + 7*d**2 - 2*d + 1. Let c be z(5). Suppose -4*r - n + 12 = 0, -45*n + c*n - 9 = -3*r. Calculate the remainder when 39 is divided by r.
0
Suppose 4*q - 3400 = 2*h, 14*q - 12*q + 5*h = 1712. Suppose 38*s - 15*s = q. What is the remainder when 140 is divided by s?
29
Suppose 0*g + 5*g - 310 = 5*t, -3*g + 2*t + 183 = 0. What is the remainder w