1 - -15. Let d(m) = m**3 - 3*m**2 - m + 2. What is the remainder when (-246)/y*(-6)/9 is divided by d(4)?
13
Let q = -6 + 12. Let v(m) = -m**2 - m + 58. What is the remainder when q is divided by v(7)?
0
Let b(i) = -i**3 - 14*i**2 - 22*i + 53. Calculate the remainder when (182/2 - 4) + -4 is divided by b(-12).
25
Suppose -2*a + 3*u = -37 - 16, -5*a + 120 = 5*u. What is the remainder when 146 is divided by a?
21
Suppose 154*f - 102 = 152*f - 5*h, -4*f + 5*h = -144. What is the remainder when 165 is divided by f?
1
Let w(j) = -44*j + 4. Calculate the remainder when w(-1) is divided by 27.
21
Suppose -3*j + 123 = -3*a, 145 = 3*j + 5*a + 14. Suppose 4*p - j = -2. What is the remainder when 19 is divided by p?
9
Let g(l) = -20*l - 64. What is the remainder when g(-10) is divided by 21?
10
Let u(n) = n**3 + 18*n**2 - n - 5. Suppose 0 = -7*k + 52 + 102. Calculate the remainder when k is divided by u(-18).
9
Let o(t) be the first derivative of -t**2/2 + 5*t + 2. Let n be o(5). Suppose -5*b = -n*b - 5. What is the remainder when b is divided by 1?
0
Suppose -2*d - 5*m - 15 = -4, -2*d + 4*m = -34. Calculate the remainder when 362 is divided by d.
5
Suppose 21*q - 2475 = -249. What is the remainder when q is divided by 16?
10
Calculate the remainder when 111 is divided by 346/12 + (-4)/(-24).
24
Suppose -3*t + 87 + 188 = 5*u, 4*t - 356 = 4*u. Suppose 2*g = 3*g - 23. What is the remainder when t is divided by g?
21
Let f(w) = -6*w - 7. Let r(k) be the first derivative of 2*k**3 - 2*k**2 + 2*k + 5. Calculate the remainder when r(2) is divided by f(-2).
3
Calculate the remainder when (-4)/(-34) + (-64070)/(-170) is divided by 4.
1
Let q(j) be the second derivative of j**4/12 + j**3/3 - 5*j**2 + j. Let m be q(-3). Calculate the remainder when 9 is divided by (21/6)/m*-10.
4
Let s(r) = -r**2 - 12*r - 31. Calculate the remainder when 15 is divided by s(-5).
3
Suppose t = -5*v + 5, -6*t = -t - 4*v - 83. What is the remainder when ((-4)/6)/(1/(-111)) is divided by t?
14
Let m(c) = 4*c - 22. Let h be m(10). What is the remainder when 6 is divided by 14/h + (-10)/(-45)?
0
Suppose 8 + 0 = 4*y. Suppose 0 = -f - 4 + 10. Let o = f + y. Calculate the remainder when 22 is divided by o.
6
Suppose -7*w + 300 = -2*w. Calculate the remainder when (-5)/(-2)*624/w is divided by 11.
4
Suppose -76*a + 71*a + 73 = 2*u, u - 41 = -a. What is the remainder when u is divided by 34?
10
Let r = 81 - 52. Suppose 6*c + 3*h + 210 = 10*c, 4*h + 154 = 3*c. Calculate the remainder when c is divided by r.
25
Let p = 403 - 351. What is the remainder when 203 is divided by p?
47
Suppose 1 = t - 3*z - 8, -3 = -3*z. Calculate the remainder when 107 is divided by ((-64)/t - 2)*-3.
19
Suppose -210*y = -200*y - 2570. What is the remainder when y is divided by 11?
4
Let z(q) = -9*q - 21. Let k be z(-11). Let y = k - 59. Calculate the remainder when y is divided by 7.
5
Let n(k) = 3*k + 5. Let i(g) = -3*g - 4. Let d(f) = -7*i(f) - 6*n(f). Calculate the remainder when d(8) is divided by 8.
6
Let f(o) = o**2 + 5*o - 16. Suppose t = -0*t + 35. Calculate the remainder when t is divided by f(3).
3
Suppose 14 + 6 = 4*v. Suppose v = 9*s - 8*s. Suppose -10*r = -s*r - 50. What is the remainder when 27 is divided by r?
7
Suppose 10*t = 7*t + 15. Calculate the remainder when 80 is divided by 123/(-6)*(1 - (-2 + t)).
39
Let v(u) = 3*u**2 - u + 3. Let l be v(4). Calculate the remainder when -5*1*l/(-5) is divided by 13.
8
Let n(c) = 4*c**2 + 4*c - 3. Suppose -2 - 10 = -6*k. What is the remainder when 165 is divided by n(k)?
18
Let q = -5 - -5. Suppose q = -4*m - 1 + 21. Suppose -m*s + 88 = -s. What is the remainder when s is divided by 8?
6
Let d = -430 + 467. Calculate the remainder when 141 is divided by d.
30
Suppose m - 5 = -54. Suppose -3*c - 4*k + 17 = 0, -31 - 1 = -5*c - 3*k. What is the remainder when c is divided by (-161)/m + (-4)/14?
1
Suppose 0 + 2 = s. Suppose -5*o + 137 = 3*g, -4*g - 5*o = -s*g - 98. Calculate the remainder when 194 is divided by g.
38
Let t be 144/21*21/2. Suppose -17*n = -11*n - t. What is the remainder when 53 is divided by n?
5
Let g(c) = 8*c - 67. What is the remainder when (3 - (-5)/(-1))*-7 is divided by g(9)?
4
Suppose 4*x + 60 = -8*x. Calculate the remainder when (2 - -11)*(-15)/x is divided by 7.
4
Let d = -279 + 300. Calculate the remainder when d is divided by 9.
3
Let v(j) = 47*j - 3. Let q = 7 - 14. Let x(k) = -23*k + 2. Let s(b) = q*x(b) - 3*v(b). Calculate the remainder when s(2) is divided by 9.
8
Calculate the remainder when (59/(-4))/(19/(-76)) is divided by 12.
11
What is the remainder when 62 is divided by (-140)/(-4) + (2/(-2))/(-1)?
26
Let v = 434 + 94. Let k be (-12 - -19)*v/14. Calculate the remainder when 65 is divided by k/(-42)*14/(-4).
21
Let w = 21 + -16. Suppose -20 = -3*t - b, -5*b - w = -t + 7. Suppose -201 = -3*v - 4*u + t*u, 4*u - 146 = -2*v. Calculate the remainder when v is divided by 18.
15
Let x = 57 + -52. Suppose -4*u + n = 5*n - 180, -265 = -5*u + x*n. What is the remainder when 193 is divided by u?
46
Suppose 11*h = -h + 660. What is the remainder when 713 is divided by h?
53
Let a = -562 + 1036. Calculate the remainder when a is divided by 126.
96
Suppose -5*j + 2*r + 16 = 0, 6*r + 5 = j + 5*r. What is the remainder when 41 is divided by j?
1
Calculate the remainder when 140 is divided by (4623/46)/(3/2).
6
Suppose -4*x - 66 = -7*x. Suppose x = s + r, -5*r + 53 + 23 = 3*s. What is the remainder when s is divided by 5?
2
Suppose 33*b = 20*b + 39. Suppose -b*l = -5*l + 96. What is the remainder when 94 is divided by l?
46
Suppose -4 = -z + 2. Suppose -4*d = -4*o + 476, 3*d + 481 = 4*o + 4*d. Suppose 0 = 5*q + 5 - o. What is the remainder when q is divided by z?
5
Let d(y) = -6*y - 37. Let x be d(-9). What is the remainder when 139 is divided by -5 + 6 + -4 + (x - 0)?
13
Suppose 7*a + 132 = 13*a. What is the remainder when 188 is divided by a?
12
Suppose -21*f + 17*f + 756 = 0. Let o = -110 + f. What is the remainder when o is divided by 21?
16
Let d = 171 + -112. What is the remainder when d is divided by 1500/175*(-35)/(-15)?
19
Let g(t) = 2*t**2 - 89*t + 213. Let l be g(42). Let r = 12 + 8. Suppose s = k - 9, 0*k - r = -l*k - 4*s. Calculate the remainder when 15 is divided by k.
7
Suppose -278*w + 285*w - 357 = 0. Calculate the remainder when 202 is divided by w.
49
Suppose 2*r = -3*a - 0*a + 142, 228 = 5*a - r. Calculate the remainder when a is divided by ((-9)/(-12))/(-3) + 3283/268.
10
Let m = 562 + -259. What is the remainder when m is divided by 19?
18
Suppose -70 = -6*a + a. Let c be 6/10 - 68/(-20). Calculate the remainder when 5/((-20)/(-54))*c is divided by a.
12
Let r be (1 + 5)*6/12. Let h be 10/4*(r - 1). Suppose -2*u - 54 = -h*u. Calculate the remainder when 34 is divided by u.
16
Let h(k) = -9*k. Let w be h(-8). Let a = -22 - w. Let u = -66 - a. What is the remainder when u is divided by 8?
4
Calculate the remainder when 5*(-35)/(-2) - (-9)/18 is divided by 30.
28
Let a = -314 + 817. Calculate the remainder when a is divided by 39.
35
Let s be ((-116)/(-6) - 0)*(-3 - -6). Suppose 0*u + s = 3*u + 2*x, 0 = 3*u - x - 61. What is the remainder when u is divided by 8?
4
Suppose 5109 + 1387 = 29*f. Calculate the remainder when f is divided by 20.
4
Suppose -17*s + 15*s + 24 = 0. What is the remainder when 46 is divided by s?
10
Let z be (12/15)/(((-14)/(-5))/7). What is the remainder when 6 is divided by ((-6)/z - -1)*-2?
2
Let c = 89 - 51. Suppose c = -2*a + 152. What is the remainder when a is divided by 15?
12
Let q be (40/(-14))/((-9)/126). Suppose -32 = c - q. Calculate the remainder when 38 is divided by c.
6
Suppose -5*c + 2*u = u - 35, -5*c + 65 = 5*u. What is the remainder when 9375/325 + 4/26 is divided by c?
5
Suppose -5*b + 2*v = 3*v - 382, 5*b - 3*v - 394 = 0. Calculate the remainder when b is divided by 2*((-455)/(-14))/13.
2
Let w(d) = d**2 + 3*d - 3. Calculate the remainder when 114 is divided by w(-7).
14
Let b = -423 + 637. What is the remainder when b is divided by 54?
52
Suppose -12*g = -13*g + 43. Let h = g + -39. Calculate the remainder when 10 is divided by h.
2
Let y(i) = 2*i + 19. Let r be y(-8). Suppose 0*t - 3*o = t - 16, -r*o - 124 = -4*t. Suppose 0*d - 20 = -2*d. Calculate the remainder when t is d