et f(d) = -d**3 - 3*d**2 - 3*d + 1. Let x be -3 + 0 - (-8 + 3). Suppose 19 - 25 = -x*v. What is the remainder when f(-3) is divided by v?
1
Let n be (27/18)/(6/16). Suppose -f = -3*b - 67, -2*b + 302 = n*f + 3*b. What is the remainder when f is divided by 39?
34
Let w be (-5 + -9 + 3)/(-1). Suppose w*m = -9 + 20. What is the remainder when 3 is divided by m?
0
Let d(t) = t**2 + 5*t - 32. Let l be (15/6 - 1)*2. Suppose -4*g + l*r - r = -44, -r = -5*g + 58. What is the remainder when d(6) is divided by g?
10
Suppose -7*g + 175 = -2*g. Suppose -5*x - 5*f + g = -0*f, 4*f - 16 = 0. Suppose 2*k - 45 = -x*k. Calculate the remainder when k is divided by 5.
4
Suppose 0*m - 4 = -2*m, 4*h - 34 = -m. Let v be (-121)/(-4) + h/(-32). What is the remainder when (v/(-20))/((-1)/10) is divided by 8?
7
Let u = -1027 + 1420. Calculate the remainder when u is divided by 100.
93
Suppose -4*a - 2032 = -4*y, 0 = 2*y + 2*a - 289 - 735. Calculate the remainder when y is divided by 57.
54
Calculate the remainder when (-7646)/(-32) + (-7)/((-560)/5) is divided by 61.
56
Let p(t) = 6*t**3 + 2*t. Let a be p(2). Suppose 0*w - 2*w + y + 34 = 0, w - 17 = y. What is the remainder when (10/(-4))/((-2)/a) is divided by w?
14
Let t(v) be the second derivative of -11/2*v**2 + 4*v - 1/12*v**4 + 5/2*v**3 + 0. What is the remainder when 9 is divided by t(14)?
0
Suppose -8*j + 71*j - 1390 - 941 = 0. Suppose 5*f + 19 = 6*f. What is the remainder when j is divided by f?
18
Let u(q) = 5*q**2 + 1 + 3*q**2 + 3*q + 2*q**2. Suppose -5*o - 22 = -4*w, 5*o + 4*w = 8*o + 18. What is the remainder when u(o) is divided by 9?
8
Suppose 0 = -3*p + 5*p - t - 175, t = p - 87. Let k = 159 - p. What is the remainder when k is divided by 38?
33
Suppose 5*u - 4*u = r - 83, 362 = -4*u - 2*r. Let t = u + 107. Calculate the remainder when t is divided by 8.
3
Suppose 267 = o + 3*d, 51*o + d - 1068 = 47*o. Calculate the remainder when o is divided by 30.
27
Let l be 4/((-4)/(-3)) + -6. Let b = -1 - l. Let d = -64 - -66. What is the remainder when b is divided by d?
0
Suppose -5*s + 3*s + 50 = 0. Suppose 70 = -186*a + 196*a. Calculate the remainder when s is divided by a.
4
Let o = 84 + -1. Calculate the remainder when o is divided by 20.
3
Suppose 5*o = 531 - 31. Let v = o + -23. What is the remainder when v is divided by 13?
12
Suppose -3*a - 2*a + 155 = 0. Suppose -7*i + 84 = -14. Calculate the remainder when a is divided by i.
3
Calculate the remainder when 102 is divided by (-670)/4*162/(-405).
35
Suppose -2*o - 4*p = 25 - 115, -2*o - 2*p = -84. Calculate the remainder when o is divided by 21.
18
Let m(v) be the third derivative of 3*v**5/20 + v**4/6 + 4*v**3/3 - 17*v**2. What is the remainder when 176 is divided by m(-2)?
32
Let o(v) = 0*v + 5562 - v - 5569. Suppose 5*l = 25, -5*l + 6 = 4*u + 41. What is the remainder when o(u) is divided by 4?
0
Let k = 3 + -9. Let h = k + 10. Suppose h*s + d - 57 - 27 = 0, 3*s - d - 70 = 0. Calculate the remainder when 87 is divided by s.
21
Suppose -5*k + 3*q + q + 10 = 0, 2*q + 2 = 2*k. What is the remainder when -14*k/(-4) - -1 is divided by 630/75 + 6/(-15)?
6
Let x = -222 + 238. Calculate the remainder when 52 is divided by x.
4
Let n(q) = 2*q - 26. Let i be n(8). Let w = 20 + i. Calculate the remainder when 1*(-74)/8*-4 is divided by w.
7
Suppose -r + 19 - 3 = 0. What is the remainder when 25 + (7 - 8) + -2 is divided by r?
6
Let r(p) = p**3 - 28*p**2 + 12. Calculate the remainder when 491 is divided by r(28).
11
Let o = -3 - -2. Suppose -3*z - 108*w + 20 = -104*w, -4*z = 2*w - 40. What is the remainder when o/3 - (-140)/6 is divided by z?
11
Let f = 32 - 22. Calculate the remainder when 5 is divided by 3 + (-1 - -2) - (11 - f).
2
Suppose r + 3*y = -0*r + 54, 2*y + 146 = 4*r. Calculate the remainder when r is divided by 5 + -8 - -1*18.
9
Let l(m) = -24*m - 209. What is the remainder when l(-17) is divided by 70?
59
Let d = 1 + 33. Let h = d + -25. Calculate the remainder when 44 is divided by h.
8
Let p = -134 - -165. Calculate the remainder when 4/((-28)/(-7)) - -9*17 is divided by p.
30
Let s be (-4)/(-10) + 112/70. Suppose -14 = -q - o, 5*q = s*o - 0*o + 77. Calculate the remainder when q is divided by 9.
6
Let j = -459 + 466. What is the remainder when 1167 is divided by j?
5
Calculate the remainder when 1882 is divided by 2 + 75 + (-10 - 75/(-5)).
78
Let l = -475 + 481. What is the remainder when 45 is divided by l?
3
Suppose -64 = -4*t - 20. Suppose 2*v = 4*v - 120. Let p = 91 - v. What is the remainder when p is divided by t?
9
Suppose 3*v - o = 177, 499*v + 4*o + 59 = 500*v. Calculate the remainder when 1649 is divided by v.
56
Suppose -b - 92 = -f, -4*b + 13 = 1. What is the remainder when 35 is divided by (-8)/76 + 1245/f?
9
Let m(i) = 2*i**2 - 34*i + 33. Calculate the remainder when 152 is divided by m(17).
20
Let m = 204 - 40. What is the remainder when m is divided by 15?
14
Let h(l) = -18*l + 46. Calculate the remainder when 180 is divided by h(0).
42
Let o(m) = -31*m + 38 + 51 - m**2 - m**3 + 29*m. Calculate the remainder when o(0) is divided by 18.
17
What is the remainder when 39 - -1 - (-3)/(-3) is divided by (-192)/(-14) + (-14)/(-49)?
11
Suppose -485 = -20*k + 15*k. What is the remainder when k is divided by 20?
17
Let f = 9 + -30. Let i = 1 - -7. Calculate the remainder when (-476)/f + 2/6 is divided by i.
7
Suppose -4 + 8 = 2*v, 4*u - 46 = -5*v. Calculate the remainder when 9 is divided by u.
0
Let d(i) = -44*i - 1. Calculate the remainder when d(-1) is divided by (23 - (-1)/(-1)) + (-113 - -113).
21
Let h = -4 - 75. Let c = 127 + h. Calculate the remainder when 189 is divided by c.
45
Let n be (-85 - (-12)/(-3))/(-1). Suppose -79 = -8*b + n. Calculate the remainder when b is divided by 11.
10
What is the remainder when 75 is divided by (-2)/3 + 5*26/6?
12
Suppose 12 = 2*m + 4*n, m - n - 1 = 2. Let w = -9 + 60. Calculate the remainder when (w/(-15) - -4) + (-51)/(-15) is divided by m.
0
Let w(d) = -d**3 - 16*d**2 + 8*d - 22. Let j be w(-17). Suppose m - 2*r + r - 28 = 0, 5*m - j = 2*r. What is the remainder when 73 is divided by m?
23
Let t be (-80)/6 + (-4)/6. Let m = 17 + t. Suppose -3*f = m*h - 78, 5*f + 147 = 4*h - 2. What is the remainder when h is divided by 11?
9
Let q be (-9)/(-2) - (-21)/42. Suppose 3*i = -q*h - 2, 2*i + h + 4 = -3*h. Calculate the remainder when 29 is divided by i.
5
Suppose -3*i + 739 = s, -s = 2*s + 15. Calculate the remainder when 254 is divided by i.
6
Let f = 14 - 3. Let z be (2/(-5))/((-8)/(-120)). What is the remainder when f is divided by (-33)/z - 3/(-2)?
4
Let i = -3081 + 4353. Calculate the remainder when i is divided by 19.
18
Suppose 2*i - 3*n = -i + 69, 5*i - n - 111 = 0. Let a = i - -35. Calculate the remainder when a is divided by 20.
17
Suppose 4*x + 6*m - 19 = 9*m, -2*m = -6. Let h(u) = 3*u - 2. What is the remainder when h(x) is divided by 0 + (1 - -4) - 0?
4
Suppose 3*n + 5*m + 7 = -1, 4*m + 22 = -5*n. Let c = n - -39. Let z = 23 - 14. What is the remainder when c is divided by z?
6
Calculate the remainder when 356/(-6)*(-5 + 2) + -6 is divided by 90.
82
Suppose 7*b = 2*b. Suppose b = -5*q + 63 + 67. Let z = 44 - q. What is the remainder when z is divided by 11?
7
Let k(i) = -i**2 + 5*i - 12. Let c be k(3). Calculate the remainder when 676/12 - 4/c is divided by 30.
27
Calculate the remainder when (680/119)/20 - 6870/(-14) is divided by 45.
41
Suppose 0 = 27*f - 38*f + 792. Calculate the remainder when f is divided by 26.
20
Suppose -r + 9 = -10. What is the remainder when 265 is divided by r?
18
Let g(b) = -2*b**3 + 31*b**2 - 10*b + 17. What is the remainder when g(14) is divided by 12?
9
Suppose 0 = -2*i + 3*d + 30, 30*i - 33*i + 3*d + 45 = 0. Calculate the remainder when i is divided by 13.
2
Let c = -161 + 279. Calculate the remainder when c is divided by 36.
10
Suppose g + 3*g = 0. Suppose -3*d + 8 + 1 = g. Calculate the remainder when d + (-3 - 0) + 3 is divided by 1.
0
Suppose -2*j + 16 = 4*d - 92, -257 = -5*j + 3*d. Suppose 0 = 2*b - 26 - 10. What is the remainder when j is divided by b?
16
Let b = 89 - 50. Let g(t) = -t**2 + 16*t - 20. Let p be g(9). Suppose 0 = 4*v - 13 - p. Calculate the remainder when b is divided by v.
11
Let z(o) = -10*o + 3. Let i(g) = 11*g - 2. Let u(k) = -