(w) = -5*w - 15 + 5*w**3 + 1 + 2 - 3*w**2 - 2*w**3 + 1. What is the remainder when q(3) is divided by 12?
4
Suppose -42*w + 21700 = -7*w. What is the remainder when w is divided by 89?
86
Let i(t) = t**3 - 9*t**2 + 16*t - 3. Let y be i(3). What is the remainder when ((-6)/4)/(y - (-3419)/380) is divided by 44?
42
Let l = -164 - 135. Let h = l + 380. What is the remainder when h is divided by 24?
9
Suppose 936 = 4*z - 2*l, 0 = -8*z + 5*z + 2*l + 700. What is the remainder when z is divided by 3/(15/(-2))*(-150)/2?
26
Let m = -55 + 77. Suppose m*b = 21*b + 9. Suppose b*s - 34 = 173. Calculate the remainder when 44 is divided by s.
21
Let c(m) = 13*m - 13. Let i(l) = -249*l + 246. Let o(u) = 117*c(u) + 6*i(u). Calculate the remainder when o(6) is divided by 20.
17
Suppose 936*l - 938*l + 2*b = -86, 10 = -2*b. What is the remainder when l is divided by 8?
6
Let l(v) = 6*v**2 + 1. Let n(o) = -o + 3. Let s(u) = 10*u - 41. Let k(b) = -5*n(b) + s(b). Calculate the remainder when l(-4) is divided by k(6).
29
Suppose 3*f - i - 115 + 36 = 0, 4*f - i - 105 = 0. What is the remainder when 752 is divided by f?
24
Suppose 5*v = -2*b + 1245, -v + 23*b = 20*b - 266. Calculate the remainder when v is divided by 82.
5
Suppose -5*w + 3*g = -23, 3*w + g - 13 = 2*g. Suppose z - 17 = w. Let p = -87 + 125. What is the remainder when p is divided by z?
17
Let f be 4 - (8/(-10))/((-14)/245). What is the remainder when (4 + f)/6*-155 is divided by 52?
51
Suppose 0 = 2*j - 17 + 19. What is the remainder when (2*(-9)/54)/(j/159) is divided by 16?
5
Let o(t) = 7*t + 80. Let y = 587 + -590. What is the remainder when o(y) is divided by 21?
17
Calculate the remainder when 34/9 + (-2)/(-9) + 613 + 624 is divided by 15.
11
Let t(z) = -2*z**2 - 4*z + 4. Let f be t(1). Calculate the remainder when 72 is divided by f + 84/16*4.
15
Let f(v) = 18*v**2 + 6*v + 492. What is the remainder when f(0) is divided by 19?
17
Suppose 0*w - 5*p = -2*w + 145, w + 4*p - 40 = 0. Suppose -3*c - 2*d = -679, 6*c = -22*d + 26*d + 1390. What is the remainder when c is divided by w?
49
Let d = 24 - 11. Let f be -20*-12*(-4)/64. Let j = d - f. Calculate the remainder when 111 is divided by j.
27
Suppose 13 = n + 3*i, -4*n - 1 - 11 = -4*i. Let k be (-1 - (-6)/6)*n/(-3). What is the remainder when 9 is divided by ((-2)/(-1))/(k + 1)?
1
Let t = 58 + -35. Suppose 50 = -8*p + 74. Suppose -p*k + 5*g = 1, 3*k - 3*g - 9 = -2*k. Calculate the remainder when t is divided by k.
2
Let k(m) be the second derivative of m**4/12 + 2*m**3 - 23*m**2/2 + 16*m. Let n be k(-14). Suppose n*r - 3 = 77. Calculate the remainder when r is divided by 4.
0
Suppose -r - 1 = 3*z + 2*z, 8 = -4*z. Let p = 35 + -31. Suppose -3*i - 39 = -p*i. What is the remainder when i is divided by r?
3
Let y(s) = -s**2 + 7*s + 11. Let l be y(6). Suppose -5*j - 2*c = -l - 13, -6 = -j - c. Calculate the remainder when j is divided by 5.
1
Let v be (17 + -1)/(-4)*(-2)/2. Suppose u - 50 = 5*w, -v*w + 0*w - 187 = -5*u. What is the remainder when u is divided by 6?
5
Suppose 1 = -u - 3*l, -4*u + 11 = l - 4*l. Suppose -u*j - g + 49 = -0*j, -5*j - 2*g + 123 = 0. What is the remainder when 126 is divided by j?
1
Let v(s) = -3*s + 27. What is the remainder when v(-17) is divided by 4 + 0 + 24/1?
22
Suppose -q - 3*w - 321 = 0, -4*q + 8*q + 5*w = -1277. What is the remainder when q/(-2) - (0 + (6 - 1)) is divided by 33?
22
Let m(c) = 1940*c - 5811. Suppose -2*z + 3*n + 46 = -21, z + 4*n - 50 = 0. Calculate the remainder when z is divided by m(3).
2
Suppose 0 = -9*g + 19 + 17. Suppose -k + 6 = 2*n, -3 + 9 = -n + g*k. What is the remainder when 10 is divided by n?
0
Let f(d) = 2*d**3 - 3*d**2 - 4. Suppose -22*y - 76 + 245 = -9*y. Calculate the remainder when f(3) is divided by y.
10
Let h(w) be the first derivative of w**3/3 + 5*w**2 - 31*w - 2. Let v(z) = -53*z + 2000. Let q be v(38). What is the remainder when h(q) is divided by 10?
5
Let y(o) be the first derivative of -o**4/4 - 3*o**3 - 3*o**2/2 - 7*o + 1134. Let a be -1*(9 + (-2 - -2)). Calculate the remainder when y(a) is divided by 5.
0
Let p(i) = -283*i + 13. Let h be p(1). Let n = -219 - h. What is the remainder when n is divided by 6?
3
Let b(y) = y**3 - 90*y**2 + 187*y - 938. What is the remainder when 3113 is divided by b(88)?
23
Calculate the remainder when 151 is divided by 11 - ((-6)/(-14) + 1 + (-36)/(-14)).
4
Let z(g) = -g**3 - 4*g**2 - 5*g - 4. Let f be z(-3). Let o be 3*(10/(-15))/f. What is the remainder when o/((-12)/(-560))*9/(-6) is divided by 12?
10
Let t(b) = -317*b - 144297. Suppose 0*w = -2*w - 5*x + 167, -3*w + 4*x + 262 = 0. What is the remainder when t(-456) is divided by w?
83
Let s = 38 - 33. Suppose 0 = -2*m + 2*l + 38, -s*m + 57 = -2*m + 4*l. What is the remainder when 72 is divided by m?
15
Suppose 5*m = 4*f - 3*f + 21, 2*m - 7 = -f. Suppose -4*h + 4*a = -a - 24, m*a - 24 = -4*h. Calculate the remainder when 34 is divided by 28/h - (2 - (-7)/(-3)).
4
Suppose 6 = u - 303. Let j = u + -304. What is the remainder when 36 is divided by j?
1
Suppose 2*d + 64 = 4*v, 5*v - 32*d + 36*d - 67 = 0. What is the remainder when 402 is divided by v?
12
Suppose -15*h = -26*h + 10197. Suppose 9*m = -0*m + h. What is the remainder when m is divided by 30?
13
Let o = -1695 + 1905. What is the remainder when 850 is divided by o?
10
Let w = -17858 - -18160. What is the remainder when w is divided by 29?
12
Let y be (-6)/15 - 1484/(-10). Suppose -y = -2*p - 3*l, 2*p - 5*l = -6*l + 140. Calculate the remainder when p is divided by 8.
4
Let b = 75 + 25. Suppose 3*g = -2*g + b. Let k(u) = -u**2 + 55*u + 563. Calculate the remainder when k(63) is divided by g.
19
Suppose -3*j = 5*m - 4*j - 95, 0 = -m - j + 19. Suppose 0 = m*u - 22*u + 210. What is the remainder when u is divided by 18?
16
Suppose l + 2*d + 4 = 18, 4*l - 4*d = 8. Calculate the remainder when 1427 is divided by l.
5
Suppose -2*h + 384 = 3*l + l, l - 102 = -2*h. Suppose 5*a = 5*m + 444 + 41, 5*a + 5*m = 495. Let j = -49 + a. Calculate the remainder when l is divided by j.
45
Suppose 441*x + 1380 - 9648 = 229*x. Let b = 10 + -5. What is the remainder when x is divided by b?
4
Suppose 4*m - 63 + 51 = 0. Suppose 14*z - 95 = m. What is the remainder when z is divided by (-28)/14*(-1 - 1)?
3
Let d(x) = x**3 + 9*x**2 + 19*x + 84. Let g be d(-8). What is the remainder when 30 is divided by (-1)/g + (2838/24)/11?
8
Suppose -3*h = -435 + 2139. Suppose -10 - 8 = -3*f. Calculate the remainder when 187 is divided by (h/(-6))/2 + f/(-18).
46
Let x(a) = -43*a - 6. Calculate the remainder when x(-4) is divided by -1 + 56 + 54 + -67.
40
Let i(j) = j + 21. Let a be 4/24 - 1354/(-12). Let z = -97 + a. Calculate the remainder when i(z) is divided by 11.
4
Suppose -7*o + 169 = -20*o. Let u(j) = j**3 + 12*j**2 - 13*j + 56. What is the remainder when 109 is divided by u(o)?
53
Let s(a) = -156*a - 66. Let i be s(3). Let v = -499 - i. What is the remainder when v is divided by 3?
2
Calculate the remainder when 364 is divided by 281449/7595 - 4/70.
31
Suppose -81*i + 5913 = -54*i. What is the remainder when i is divided by 78?
63
What is the remainder when ((-370)/(-4))/((-143)/22 + 7) is divided by 51?
32
Calculate the remainder when (-3962)/(-20) - (-1122)/(-11220) is divided by 18.
0
Let o(r) = -24*r - 35. Let b = -137 - -134. Let z(x) = -11*x - 17. Let h(s) = b*o(s) + 7*z(s). Calculate the remainder when 75 is divided by h(-8).
23
Let a be (-10 - -14)/((-8)/4). Let o(l) = -50*l - 64. What is the remainder when 171 is divided by o(a)?
27
Let w(q) = -3*q - 23. Let d be w(-45). Suppose 0*j + 2*j - 2*g = 228, j - 2*g = d. Calculate the remainder when j is divided by 37.
5
Let l = 0 - -16. Suppose 0 = 4*k + r - 99, 0 = -4*k + 3*r + l + 71. Calculate the remainder when (0 - -1)/((-413)/69 + 6) is divided by k.
21
Let d = -163 - -157. What is the remainder when 41 is divided by 10/d*(-6 + 3 + 0)?
1
What is the remainder when 49 is divided by 6 - 0 - (250 + -290)?
3
Let q be (4 + -70 - -18)*2/(-12). Let r(u) = 3*u**2 - u + 4. Let z be r(3). Let s = q + z. What is the remainder when 107 is divided by s?
35
Let u(k) = -2*k**3 + 3*k**2 - 4*k - 18. Let s be u(-2). Suppose -23*v - 4*f - s = -24*v, 0 = 3*v + 5*f - 37. What is the remainder when 21 is divided by v?
7
Su