-6 - 10*q + 3*q**2 - q - 3 + 4*q. Let s(a) = 8*u(a) + 5*w(a). Calculate the remainder when 20 is divided by s(4).
6
Let a(m) = -m**3 + m**2 - m + 9. Let v be a(0). Let f(g) = g**2 - 11*g**2 - 11*g**3 + 11*g + 12*g**3 - 11. What is the remainder when f(v) is divided by 3?
1
Let g(i) be the second derivative of i**4/12 - i**3 - 9*i**2/2 + 15*i. Suppose -3*o + 24 = -0*o. What is the remainder when g(o) is divided by 3?
1
Suppose -49065 = -49*b - 7611. What is the remainder when b is divided by 85?
81
Suppose -2*g - 4*h + 46 = 0, g - h = -0*h + 23. What is the remainder when g is divided by (9/(-8)*4)/((-3)/6)?
5
Suppose -13*c + 11*c = 3*a - 159, 5*c - a = 406. What is the remainder when c is divided by (-7)/(1 - (-12)/(-9))?
18
Let j(m) = -9*m + 18. Let x be j(6). Let c = -25 - x. Calculate the remainder when c is divided by 8.
3
Let m = 312 + -290. What is the remainder when 78 is divided by m?
12
Let l = 805 - 744. What is the remainder when 120 is divided by l?
59
Suppose 2*s = -5*s + 35. Suppose -s*m + 38 = -67. Suppose -3 = h - 11. Calculate the remainder when m is divided by h.
5
Suppose -u - v = -923, -2*u + 906 + 930 = 4*v. Calculate the remainder when u is divided by 49.
46
Let i(o) = -7*o - 14. Let d be i(-9). Let u = d + 14. Calculate the remainder when u is divided by 16.
15
Suppose -4*l - 68 = -1240. Calculate the remainder when l is divided by 8.
5
Suppose 0 = -4*l + 2*l + 80. Suppose -4*k + 4*a + l = 0, 5*k - 2*a - 20 = -3*a. What is the remainder when 24 is divided by k?
4
Let l(m) = 2*m**3 + 3 + 0*m**3 - 2*m - m**3. Suppose 13*w = 2*w + 44. What is the remainder when l(2) is divided by w?
3
Let g(c) = 5*c**2 - 7*c - 20. Let l = 6 - 3. Suppose -l*v + 12 = 0, j - 3*j + 2*v = -98. Calculate the remainder when j is divided by g(-2).
11
Suppose -62*s + 42*s = -740. Calculate the remainder when 219 is divided by s.
34
Let m(g) = 9*g**2 - 6*g - 8. Calculate the remainder when m(-3) is divided by ((-16)/(-10))/(2/30).
19
Let v(k) = -11*k + 6. Let s be v(-3). Let q = s - 34. What is the remainder when 18 is divided by q?
3
Let r(a) = -11*a + 26. What is the remainder when 153 is divided by r(0)?
23
Let g(p) = -p**3 + 23*p**2 - 54*p + 17. What is the remainder when g(16) is divided by 11?
10
Let v be ((-1 - -1) + 1)*0. Suppose 2*r + 19 = -s - v, 5*s + 14 = -r. Let y = -6 - r. Calculate the remainder when y is divided by 2.
1
Let p = 855 + -742. Calculate the remainder when p is divided by 33.
14
Let v(t) = t**3 + 10*t**2 - t + 14. Calculate the remainder when v(-9) is divided by 54.
50
Let b = 10 - 7. Suppose 4*j + 10 = y - b, -5*y + 2*j + 101 = 0. What is the remainder when 6/y - 173/(-7) is divided by 9?
7
Calculate the remainder when ((-1724)/40 - 3/(-30))*-1 is divided by 16.
11
Suppose 84*r - 38*r = 920. Calculate the remainder when 75 is divided by r.
15
Suppose 17 = 7*b - 4. Suppose b*l + 5*n - 49 = -0*l, 2*l + 4*n = 32. Let p(u) = 8*u**2 - 2. Calculate the remainder when p(-3) is divided by l.
16
Let c = 1758 - 1731. What is the remainder when 475 is divided by c?
16
Let p be 4752/64 - (-6)/8. Suppose -10 = a - p. What is the remainder when a is divided by 17?
14
Let q = 433 + -87. What is the remainder when q is divided by 94?
64
Suppose -o - 6*w + 217 = -10*w, 2*w - 454 = -2*o. Calculate the remainder when o is divided by 74.
3
Let y(c) be the third derivative of -c**6/120 + 3*c**5/20 - 7*c**4/24 + 2*c**3 - 6*c**2. Calculate the remainder when y(7) is divided by 23.
15
Let w = -23 + 7. Suppose -h = 2*p - 3*h - 16, -3*p = 5*h - 64. What is the remainder when p is divided by (w/2)/(12/(-6))?
1
Let r(p) = -p**3 + 1 + 3*p**3 + 0*p**3 + p. Let v(i) = -7*i + 16. Let z be v(2). What is the remainder when 35 is divided by r(z)?
16
Let j(g) = -232*g**3 + 3*g**2 + g - 1. Calculate the remainder when j(-1) is divided by 14.
9
Let j(q) = q**2 - q - 14. Calculate the remainder when 60 is divided by j(6).
12
Let m = -190 - -379. What is the remainder when m is divided by 14?
7
Calculate the remainder when ((-25)/15)/((-5)/438) is divided by 20.
6
Let h(r) = -r + 6. Let n be (-12)/(-12) + 4/2. Let b be h(n). Suppose t - 4*g = -6 - 5, -11 = -b*t + g. Calculate the remainder when 9 is divided by t.
4
Let y(t) = 5*t - 87. Calculate the remainder when y(22) is divided by (-5 - (-4)/1) + -2 + 21.
5
Suppose 0 = -2*m + 4*k - 8, -3*m + 5*k = 2*m + 45. Let c be 2/7 - 38/m. Let b = 6 + c. Calculate the remainder when 26 is divided by b.
8
Suppose 4 = -4*l + 6*l. Suppose 3*a - 59 = -l*j + j, 0 = -5*j + 5*a + 255. Let z(o) = -o**3 + 4*o + 3. What is the remainder when j is divided by z(-3)?
17
Let x(v) = v**3 - 10*v**2 + 3*v - 18. What is the remainder when 143 is divided by x(10)?
11
Suppose -4*o + c - 49 = -o, 3*c - 42 = 2*o. Let j = o - -14. What is the remainder when 57 is divided by 60/(-4)*1*j?
12
Let r = -89 + 55. Let k = 55 + r. Let a(j) = -j + 5. Calculate the remainder when k is divided by a(-6).
10
Let h = 76 - 63. Let c(d) = d**2 - 10*d - 16. What is the remainder when c(h) is divided by 13?
10
Suppose 112 = -61*k + 68*k. What is the remainder when 108 is divided by k?
12
Let m be (-4)/(4 - 248/60). Suppose 45 = 5*x - m. Suppose 2*g - x = b - 2*b, g - 1 = 0. Calculate the remainder when 36 is divided by b.
10
Suppose -3*f = 2*r - 1099, 59*r - 62*r = 5*f - 1831. Calculate the remainder when f is divided by 22.
13
Suppose -114 = -51*m + 48*m. What is the remainder when 265 is divided by m?
37
Suppose -32*j = -847 - 49. What is the remainder when 102 is divided by j?
18
Suppose 4*b + 30 = 2*g, 8 + 17 = -3*b - g. Let p = b + 12. Suppose -4*q = 4*i - 16, -1 - 5 = -2*q - p*i. What is the remainder when 13 is divided by q?
3
Suppose 4*x - 282 = 3*t - 6*t, -2*t + 73 = x. What is the remainder when 482 is divided by x?
68
Suppose -18 = -5*j + 27. Suppose -297 = -8*f - j. Calculate the remainder when 105 is divided by f.
33
Let b(p) = -9*p**2 - 7*p - 15. Let y(t) = -5*t**2 - 4*t - 8. Let d(j) = -3*b(j) + 5*y(j). What is the remainder when 57 is divided by d(-3)?
17
Suppose -2*t = -0*p + 3*p - 50, 40 = 2*t - 2*p. Let a = t + -9. Calculate the remainder when 34 is divided by a.
8
Suppose 0 = -5*y + 4*u + 857, 3*y + 694 = 7*y + u. Suppose 0 = q + 2*q + a - y, -3*a = 4*q - 239. What is the remainder when q is divided by 20?
16
Let o(k) = 2*k**2 - 8*k + 10. Let g = 20 + -17. Let u(h) = -3*h**2 + 17*h - 19. Let p(t) = g*u(t) + 5*o(t). Calculate the remainder when p(-12) is divided by 2.
1
Let m = 94 + -53. Calculate the remainder when 244 is divided by m.
39
Let g be 4/10*(-190)/(-2). Suppose 166 = 2*y + g. Calculate the remainder when (y/10)/((-28)/(-210)) is divided by 10.
8
Let j be (-24)/(-56) - (0 - 390/21). Suppose -10*m - 117 = -j*m. Calculate the remainder when m is divided by 8.
5
Let q = -336 + 370. Calculate the remainder when 133 is divided by q.
31
Calculate the remainder when 237 is divided by 258/15 - (-30)/(-25).
13
Let y(r) = r**3 - 9*r**2 - 21*r + 9. Calculate the remainder when 56 is divided by y(11).
16
Let f = -19 + 56. Let i = -16 + f. What is the remainder when 39 is divided by i?
18
Let i(o) = 5*o**2 + 2*o + 7. Calculate the remainder when i(-6) is divided by 5.
0
Let k(x) = 5*x**2. Let j be k(1). Suppose -30 = -j*v + 15. Calculate the remainder when ((-6)/9 - (-83)/3) + -5 is divided by v.
4
Suppose -7*t - 4 = -5*t. Let k be 9*t/(-6) - -67. Let r = k - 31. What is the remainder when 114 is divided by r?
36
Calculate the remainder when 1 + 10/2 - (-240 - 3) is divided by 63.
60
Let z(i) = -i**3 - 5*i**2 - 3*i + 4. Let k be z(-4). Suppose 0 = 2*p + 2*n - n - 3, 3*n + 15 = k. What is the remainder when 39 is divided by (3 + -4 - -7) + p?
9
Suppose r - 4*r - 54 = 0. What is the remainder when 35 is divided by (-243)/r*(-2)/(-3)?
8
Suppose 10*m + 12*m = 8888. What is the remainder when m is divided by 58?
56
Let f(g) = -4*g**3 + 21*g**2 - 4. What is the remainder when 57 is divided by f(5)?
15
Suppose 1135 = -7*z + 3291. Calculate the remainder when z is divided by 23.
9
Let c(v) = 3*v**2 - 12*v - 77. What is the remainder when 66 is divided by c(9)?
8
Let t(d) = -d**2 - 16*d + 19. Let a be t(-17). Suppose -3*y + 3 = 0, -r - 2*r + 101 = a*y. What is the remainder when 98 is divided by r?
32
Suppose 4*w - 3*l + 7*l = 776, w - l - 200 = 