6 = 0, 0*f - 57 = -s - 2*f. Suppose -2*p + 121 = -p + 111. Calculate the remainder when s is divided by p.
7
Let g(b) = 2*b**2 + 7*b - 4. Let w = -13 - -16. Suppose -17 = -q + r, -2*q + 0*r = w*r - 19. What is the remainder when g(-6) is divided by q?
12
Let l(b) be the third derivative of b**6/120 - b**5/6 + 13*b**4/24 - 3*b**3/2 + 18*b**2. What is the remainder when 107 is divided by l(9)?
26
Suppose -2*l - 2*l = h + 5, -3*h + 4*l + 49 = 0. What is the remainder when 95 is divided by h?
7
Let n(c) = -3*c - 32. What is the remainder when (5/(-2))/((77/(-84))/11) is divided by n(-15)?
4
Let t = 88 + -84. Suppose -7*p + t*p = -39. Calculate the remainder when 64 is divided by p.
12
Suppose 4*u - 257 = -3*s - 0*s, 0 = -u + 2. Calculate the remainder when s is divided by 6.
5
Let k = -33 + 15. Suppose 0*f - 3*f = -105. Let s = k + f. Calculate the remainder when s is divided by 5.
2
Calculate the remainder when (-4)/13 - 728596/(-754) is divided by 44.
42
Let t = -6 + 23. Suppose 12 - 30 = -6*c. Calculate the remainder when t is divided by c.
2
Let h(k) = k**2 + 8*k + 14. Let p(d) = d**2 + 7*d + 14. Let u(f) = -3*h(f) + 4*p(f). Calculate the remainder when 102 is divided by u(-7).
32
Suppose -5*p + 3*b = -702, 1027 = 5*p - 4*b + 321. What is the remainder when p is divided by 69?
0
Let m = -698 + 1103. Suppose 2*g = -2*i + i + 276, m = 3*g - 3*i. Calculate the remainder when g is divided by 23.
22
Let z = 246 - 219. What is the remainder when z is divided by 10?
7
Let j = -8 + 10. Let v = 4 - -17. Calculate the remainder when v is divided by (1/j)/((-7)/(-154)).
10
What is the remainder when 166 + 10 - (0 + 5 - 0) is divided by 68?
35
Let d(a) = -a**2 - 5*a - 3. Suppose -11*n + 99 = -8*n + 30*n. Calculate the remainder when n is divided by d(-4).
0
Let r(f) = 78*f**3 + 2*f - 1. Let m be ((4 - 0) + -6)/(-2). Let x = 49 - 22. What is the remainder when r(m) is divided by x?
25
Suppose -55 - 869 = -22*v. What is the remainder when 186 is divided by v?
18
Let g = 28 + -1. Let j(i) = i**2 + i + 10. What is the remainder when g is divided by j(0)?
7
Let i = 8 + 24. Suppose -5*o = 3 + 17. Calculate the remainder when i is divided by (-44)/32*2*o.
10
Let s(i) = i**3 - 7*i**2 - 95*i + 18. Calculate the remainder when 174 is divided by s(14).
54
Suppose 3*l + l = 5*q + 65, -3*q - 3 = 0. What is the remainder when 40 is divided by l?
10
Suppose 0*y = -5*y + 5. Let r be (-4 + y)/(5/(-5)). Suppose r = p - 3. What is the remainder when 21 is divided by p?
3
Let h(r) = -r**3 - 24*r**2 - 24*r + 31. Let b be h(-23). Let z = 109 - b. What is the remainder when z is divided by 17?
4
Suppose -5*v = 3*m - 370, -2*v + 30 = 3*m - 109. Calculate the remainder when v is divided by 9.
5
Suppose -49*g = -13*g - 5436. What is the remainder when g is divided by 38?
37
Let c(f) = -29*f - 55. What is the remainder when c(-7) is divided by 30?
28
Suppose 158 = 15*s - 22. Let y = 104 + -59. Calculate the remainder when y is divided by s.
9
Suppose 55*s + 2*s = 228. What is the remainder when 178 is divided by s?
2
Suppose -130*s + 468 = -118*s. Calculate the remainder when 70 is divided by s.
31
Let b(n) = -5*n**3 + 2*n**2 - 12*n + 13. Let s(x) = -4*x**3 + x**2 - 12*x + 12. Let l(k) = -5*b(k) + 6*s(k). Calculate the remainder when 27 is divided by l(6).
6
Suppose 2*l - 3*x = l + 9, -5*l + 9 = -3*x. Suppose l = i + u - 20 + 1, -4*i + 82 = -2*u. What is the remainder when 53 is divided by i?
13
Suppose 4*g = z + 108, 2*g + z - 45 = 9. Suppose -g = -i + 2*h, h = -i - h + 19. What is the remainder when 90 is divided by i?
21
Suppose 0 = -3*b + n + 85, 2*n + 7 + 18 = b. What is the remainder when 54 is divided by b?
25
Suppose -y - 50 = -5*j - 5*y, -3*y = -3*j + 30. What is the remainder when 38 is divided by j?
8
Calculate the remainder when 84/(-49)*(-245)/10 is divided by 23.
19
Let m(a) = -a**3 - 2*a + 74. What is the remainder when m(0) is divided by 65?
9
Let g(o) = 2*o**3 + o. Let y be g(1). Suppose -6 = -y*z + 6. Calculate the remainder when (-1)/(-9)*9*7 is divided by z.
3
Let p be 11/(-44) - (-1218)/8. Suppose 14*b - 170 = p. What is the remainder when b is divided by 10?
3
Suppose -133 = -10*j - 3. What is the remainder when 140 is divided by j?
10
Let z(r) = -27*r + 3. Calculate the remainder when 51 is divided by z(-1).
21
Let i = 18 + -17. Let y = 2 + -1. Let f = y - -2. Calculate the remainder when f is divided by i.
0
Let i(t) = -7*t + 7. Suppose 25 = -5*u - 0*u, -k + 5*u = -37. Calculate the remainder when i(-9) is divided by k.
10
Suppose -2*n = -13 - 23. Let f(y) = y**3 + 18*y**2 + y + 12. Let z be f(-18). Calculate the remainder when n is divided by 6/9 + (-56)/z.
8
Suppose 47*u = 52*u - 495. What is the remainder when u is divided by 7?
1
Let r(m) = 2*m + 1. Let h(x) = -37*x**3 - 5*x - 2. Let w(i) = h(i) + 3*r(i). Calculate the remainder when w(-1) is divided by 20.
17
Suppose -4*o + 234 = -6. Suppose w = 7*w - o. Let j = 8 + -4. Calculate the remainder when w is divided by j.
2
Let b(v) be the first derivative of -v**4/4 + 13*v**3/3 - 5*v**2 - 4*v + 4. Let o = 35 - 23. What is the remainder when b(o) is divided by 7?
6
Let w(i) = -2*i - 5. Let v be w(-4). Suppose 57 + 147 = v*s + 2*l, 9 = -3*l. Calculate the remainder when s is divided by 18.
16
Suppose -k + 4*k - 177 = 0. Calculate the remainder when k is divided by ((-3)/2)/((-18)/360).
29
Let l(m) = 15*m + 6. Let n be l(5). Suppose -n = -4*q - h - 30, 8 = 2*q + 4*h. What is the remainder when 38 is divided by q?
10
Suppose 1314*i + 608 = 1333*i. What is the remainder when 275 is divided by i?
19
Suppose -20*z + 68*z = 4464. Calculate the remainder when 1393 is divided by z.
91
Let v(w) be the first derivative of 0*w + 7/2*w**2 - 6. Calculate the remainder when 41 is divided by v(2).
13
Suppose -9 = -3*g, 3*d - g - 6 = -3. Calculate the remainder when 0 - 1/(-1) - -10 - 27/9 is divided by d.
0
Let o(c) = c**3 + 18*c**2 - 41*c + 78. Calculate the remainder when 270 is divided by o(-20).
74
Suppose 2*v - 84 = 2*s - 14, 2*v - s = 70. What is the remainder when 60 is divided by v?
25
Suppose 181*c + 765 = 186*c. What is the remainder when c is divided by 11?
10
Let g(h) = -h**2 + 9*h + 10. Let v be g(7). Suppose -4 - v = -2*t. What is the remainder when t is divided by 3?
2
Suppose 4*x - 2*x = 0. Suppose x = -7*c + 4*c + 162. What is the remainder when c is divided by 14?
12
Suppose -t + 28 = 5*d - 85, -d = 4*t - 15. Calculate the remainder when 65 is divided by d.
19
Suppose -2*a + 0*a + 3*j = -61, 3*a = 5*j + 89. Calculate the remainder when a is divided by (7 + -14)*(-3)/1.
17
Let m = 59 + -47. Suppose 4*x - n + 16 = -4*n, -2*x - 8 = 4*n. Calculate the remainder when m is divided by (2/x)/(2/(-28)).
5
Let x(i) = -i**2 + 9*i + 2. Let m be x(8). Let g(k) = k**2 - 10*k + 21. What is the remainder when 62 is divided by g(m)?
20
Calculate the remainder when 700/6 + 4/(-6) is divided by (-7*(-88)/(-154))/(1/((-12)/2)).
20
Let c be (6/(-2))/(3*(-4)/(-12)). Calculate the remainder when 16 is divided by (108/24)/((-1)/4*c).
4
Let n(j) = j**2 + 6*j - 3. Let v be n(-7). Let z be -3 + v - 4 - 0. Calculate the remainder when (0 - (-2 - z)) + 20 is divided by 10.
9
Suppose 4*m + 3*w = 14, -m + 2*w - w = -7. What is the remainder when (-10)/40*(2 + -74) is divided by m?
3
Suppose -391*c + 387*c = -368. Calculate the remainder when c is divided by 65.
27
Let t = 999 - 990. What is the remainder when 205 is divided by t?
7
Let n = -2509 + 1592. Calculate the remainder when 65 is divided by (n/(-21) - 2/(-6))/2.
21
Suppose 2*z = 5*t + 24, -6*z + 11*t + 52 = 6*t. Calculate the remainder when 2/(-1 + (-22)/(-20)) is divided by z.
6
Suppose -100 = -5*x + 5*m, x + 10 = -m + 28. Calculate the remainder when 227 is divided by x.
18
Let l(t) = 4*t + 131. Calculate the remainder when l(23) is divided by 45.
43
Let a = -223 - -247. Calculate the remainder when 66 is divided by a.
18
Suppose 0 = 2*i - 4*i + 4. Let y(p) = -3*p**2 + 4*p**2 - i*p - 5 + 8. Calculate the remainder when 3 is divided by y(2).
0
Let c be (-3 + 2)/(0 - 1). Let h = c - -21. What is the remainder when h is divided by (-10 - -6)/((-2)/3)?
4
Suppose 2*z - 5*g - 269 - 19 = 0, 2*g - 8 = 0. Suppose 4*s = 3*u - z, 4*s - 7*s = -5*u + 253. What is the remainder when u 