is divided by p?
1
Let y(f) = -1 - 3*f**2 + 4*f**2 + 2*f - f - 2. Suppose 2*x - 66 = -2*n, 2*x - 6*x - 5*n + 133 = 0. What is the remainder when x is divided by y(4)?
15
Suppose -5*r - 91 = -o + 89, -2*r - 54 = -4*o. Let p = -24 - r. What is the remainder when p is divided by 7?
6
Let a(c) = c**2 + 3*c - 4. Let u be a(-4). Suppose 4*w - w - 66 = u. What is the remainder when w is divided by 12?
10
Let h = -2 + 4. Let v(c) = c**2 + 1. Let f(k) = -k**2 - k - 6. Let a(x) = h*v(x) + f(x). Calculate the remainder when 47 is divided by a(5).
15
Suppose -2*o + 1 = -o. Suppose 4*h = -4*x + 24, -5*x + 24 = 2*h - 0*h. What is the remainder when h is divided by o?
0
Suppose 3*c = 174 - 42. Let d(s) = -s**3 + 7*s**2 - 5*s + 9. Calculate the remainder when c is divided by d(6).
14
Let u = 76 - 31. Calculate the remainder when u is divided by 12.
9
Suppose 17 = 3*m + z, -3*z = -4*m + 16 + 24. What is the remainder when (42 - m)*(1 - 0) is divided by 9?
8
Let g = -3 + 5. Suppose -2*t + 39 = -4*x + 215, 2*x - 3*t = 80. What is the remainder when x is divided by 1/g + (-31)/(-2)?
14
Let j(y) = y**3 + 8*y**2 - y + 2. What is the remainder when j(-5) is divided by 5?
2
Let f(v) = -v**3 - 7*v**2 - 2*v + 4. Suppose 29 = n + h, 3*n - 4*h = 4*n - 17. Calculate the remainder when n is divided by f(-7).
15
Let w be (-8)/(-6) + 4/6. Suppose 0*m + 4 = w*m. What is the remainder when 36/10 - (-12)/30 is divided by m?
0
Let b(y) = 4*y**2 - 6*y + 3. What is the remainder when 59 is divided by b(3)?
17
Suppose -3*v + 3 + 108 = 0. Calculate the remainder when v is divided by 13.
11
Let d(j) = -j**2 + 8*j + 26. What is the remainder when 77 is divided by d(0)?
25
Let x = -90 + 451. Suppose 211 = -5*n + f + 578, 5*n - 3*f - x = 0. Let z = -30 + n. What is the remainder when z is divided by 23?
21
Let o be 8/(-4)*2/4. What is the remainder when (o - (1 + -1))*-8 is divided by -1*(-1)/(-3)*-15?
3
Let i(j) = -j. Let z be i(-1). Suppose 0 = 2*n - 61 - z. What is the remainder when n is divided by 16?
15
Let p(c) = 9*c + 2. Let z(v) = v**2 + 1. Let w be z(-1). What is the remainder when p(w) is divided by 7?
6
Let z = 23 + -10. What is the remainder when z is divided by 5?
3
Let j(y) = 2*y**2 - 3*y. Let p = 26 - -8. Calculate the remainder when p is divided by j(3).
7
Let u = -1 + 17. Suppose 3*i = 8*i + 195. Let j = i - -70. Calculate the remainder when j is divided by u.
15
Let s(c) = -c**2 + 6*c - 9. Let w be s(7). Let o = -5 - w. Calculate the remainder when 30 is divided by o.
8
Let m = -7 - -4. Let z = m + 5. Suppose -24 = -z*g - g. What is the remainder when 22 is divided by g?
6
Let v(n) = -n + 34. Let y = 22 + -8. Calculate the remainder when 57 is divided by v(y).
17
Calculate the remainder when (-18)/81 - 299/(-9) is divided by 6.
3
Suppose -b + 3*x + 59 = -137, -5*x + 10 = 0. What is the remainder when b is divided by 51?
49
Let n(t) = -2*t - 3. Let b be n(-4). Suppose 2*i + 4*x - 20 = 0, i - b + 23 = 5*x. Suppose i*u - 3*u + 4 = 0. Calculate the remainder when 7 is divided by u.
3
Let r(c) = 2*c**2 + 7*c - 8. What is the remainder when 63 is divided by r(-6)?
19
Suppose -4*i = 2*q - 14 + 6, 2*q - 8 = 0. Let o(c) = c - 4*c**2 + 15 - c**2 + 3*c**2 + c**2. Calculate the remainder when 44 is divided by o(i).
14
Let v = 2 + -5. Let x = 20 - v. Let c = x - 16. Calculate the remainder when 12 is divided by c.
5
Suppose -2*h - 55 = -7*h. Let n be 6/(-1)*-3 - 2. Let q = -10 + n. What is the remainder when h is divided by q?
5
Let s = 5 - 3. Calculate the remainder when s is divided by 2.
0
What is the remainder when 167 is divided by 12/4*114/18?
15
Let a(i) = -i**3 - 4*i**2 + 5*i + 2. Let f be a(-5). Suppose f*p = -p + 45. Calculate the remainder when 57 is divided by p.
12
Let h(f) = -7*f**2 - 2*f - 9. Let v(a) = -a**3 + a**2 - a. Let o(p) = -h(p) + v(p). What is the remainder when 32 is divided by o(8)?
15
Let s(u) = 9*u - 5. What is the remainder when 5*(-1)/(-2)*10 is divided by s(2)?
12
Let h(i) = -i + 7. Let o be h(7). Suppose 2*q = -o*q + 18. What is the remainder when ((-21)/2)/(q/(-36)) is divided by 11?
9
Suppose 9*q - 116 = 55. Calculate the remainder when 54 is divided by q.
16
Suppose -2*f = -5*s - 61, 77 = 4*f - s - 0*s. Let r = 68 + -34. What is the remainder when r is divided by f?
16
Calculate the remainder when (-1)/(18/4) + 1526/63 is divided by 3.
0
Suppose 2*b + 45 = 5*y, y - 4*b + 5*b = 16. Suppose 0 = o + 7*o - 168. Calculate the remainder when o is divided by y.
10
Let y be (-5 + 2)/(3/(-10)). Let a = y + -6. Suppose i - 29 - 49 = l, a*i = l + 300. What is the remainder when i is divided by 25?
24
Suppose 4*p + 5*b - 31 = 0, -1 = -4*p - 2*b + 21. Calculate the remainder when (-44)/(-24)*-2*-3 is divided by p.
3
Suppose 0 = 3*m - 3, 36 = 4*u - 2*m - 10. Calculate the remainder when u is divided by 9.
3
Suppose -39*z = -40*z + 7. What is the remainder when 20 is divided by z?
6
Suppose 10 = -2*g + 34. Suppose 4*m - 140 = -3*d + 4*d, -4*m + 132 = d. What is the remainder when m is divided by g?
10
Let r(p) = 57*p - 1. What is the remainder when r(2) is divided by 29?
26
Let c be 1/3 - (-1)/(-3). Suppose c = 4*y + 2*a - 112, -5*y + 72 + 75 = -a. Suppose 3*i + 3*i - 90 = 0. Calculate the remainder when y is divided by i.
14
Let b = -62 - -22. Let y = -23 - b. What is the remainder when 33 is divided by y?
16
Let z(f) = -3*f - 5. Let p(j) = -4*j + 7 - 7 - 4*j. Let h be p(1). Calculate the remainder when 56 is divided by z(h).
18
Suppose 8*j - 3*f - 86 = 3*j, -2*j = f - 30. What is the remainder when j is divided by 5?
1
Let d be 5/20 + 446/8. Suppose -3*n + d = -7*n. What is the remainder when 14 is divided by 8/(-12) - n/3?
2
Let u(b) = -2*b - 12. Let d be u(-8). Let w = d - 3. Suppose o + 2*z - w = 0, -6 = -o + 5*z + 9. What is the remainder when 13 is divided by o?
3
Let f(y) = 17*y**2. What is the remainder when 31 is divided by f(-1)?
14
Suppose 0 = 2*d - d - 27. What is the remainder when d is divided by 15?
12
Let g(h) = 4*h**3. Let q be g(1). Let m = q - 0. Suppose 0 = l + 4*l - 5*d - 130, 3*l + m*d - 99 = 0. Calculate the remainder when l is divided by 8.
5
Let n = -21 - -30. What is the remainder when 15 is divided by n?
6
Let r = 22 - 12. Calculate the remainder when ((-6)/(-4))/(9/168) is divided by r.
8
Let u = 39 + -28. Suppose 2*n = 35 + u. Let o(g) = 7*g + 1. What is the remainder when n is divided by o(1)?
7
Suppose 0 = 2*z - 4*z - 2*o - 166, 3*z + 244 = -2*o. Let h = -39 - z. Calculate the remainder when h is divided by 21.
18
Let s(p) = -17*p + 1. Let r be s(-1). Suppose 3*y - 36 = 3*n, y = -0*y + 3*n + r. Let o = 8 + 9. Calculate the remainder when o is divided by y.
8
Suppose g + 5*g = 108. What is the remainder when 53 is divided by g?
17
Let s = -9 + 13. Suppose 5*r = 2*o + 11 - 29, -2*o - s*r = -54. Calculate the remainder when 37 is divided by o.
18
Let u = 16 - 6. Calculate the remainder when 19 is divided by u.
9
Suppose -8*t = 6 - 62. Calculate the remainder when 26 is divided by t.
5
Let t(f) = -f**3 + 2*f**2 + 6*f - 2. Calculate the remainder when t(2) is divided by 3.
1
Suppose 2*h = 3*h. Suppose -2*r - 2*t + 60 = h, 5*r + 2*t - 130 = t. What is the remainder when r is divided by (-13 + 0)*(4 + -5)?
12
Let s(g) = 5*g**2 + 3*g**2 + 15*g - 14*g + 1. Calculate the remainder when s(-2) is divided by 11.
9
Calculate the remainder when 21 - -16 - (1 + 2) is divided by 20.
14
Let c = 100 + -65. What is the remainder when 104 is divided by c?
34
Let i = 4 + 30. Suppose 55 = 2*j + 19. Calculate the remainder when i is divided by j.
16
Suppose 4*m - 4*h - 40 = 0, 3*m + 0*m + 5*h = 70. Suppose 3*v + 12 = 87. Suppose -v - 195 = -5*d. What is the remainder when d is divided by m?
14
Suppose -16*r + 169 = -647. Calculate the remainder when 304 is divided by r.
49
Calculate the remainder when (-4)/(24/(-9))*2332/33 is divided by 27.
25
Suppose -2*a - 19 = 5*p + 4, 0 = a - 1. Let x = 0 - p. What is the remainder when x is divided by 3?
2
Let t(h) = 2*h - 24. What is the remainder when t(13) is divided by 1?
0
Let l(a) = 3*a**3 - 2*a**2 - 3*a + 3. Let r be l(2). Let w = 0 + r. Calculate the remainder when 37 is divided by w.
11
Let h be (-22)/(-2) - -2 - -4. Suppose 37 = 2*x - h. Calculate the remainder when x is divided by 7.
6
Let i(f) = 