 What is the remainder when 10 is divided by p?
1
Suppose -5*c + 6 + 9 = 0. Let n(t) = 2*t**3 - 4*t**2 - t + 1. Calculate the remainder when 46 is divided by n(c).
14
Suppose 3*i + 3 = -m, 5*m + 15 = -0*m. Suppose -w + 3*c - 5 = -25, i = -4*w + 2*c + 60. Calculate the remainder when w is divided by 4.
2
Suppose -2*k = -4*k + 134. Suppose 10 = 3*a - 5, -2*o + k = a. Calculate the remainder when o is divided by 16.
15
Suppose 3 = 3*p + 15. Let f = p - -11. What is the remainder when 25 is divided by f?
4
Let s(b) = 10*b**2 + b + 1. Let q(v) = 5*v + 9*v - 3 - 2*v + 15*v**2 + 6*v - v**3. What is the remainder when q(16) is divided by s(-1)?
9
Let x = 5 + 5. Suppose 2*r + 3*s = 52 - 20, 0 = r - 5*s + x. Suppose -4*o + 79 = 3*i + o, i - 31 = 3*o. What is the remainder when i is divided by r?
8
Let i be 0 + -2 + 5 + 0. Suppose -44 = i*j - 7*j. Let u = 60 - 28. Calculate the remainder when u is divided by j.
10
Let l(j) = 3*j**2 + 12*j - 2. What is the remainder when l(-5) is divided by 7?
6
Let d(m) = 77*m - 1. Let f be d(3). Suppose f = v + 4*v. What is the remainder when v is divided by 16?
14
Suppose -5*i - x = -143, 1 + 2 = x. Let k(a) be the second derivative of -a**3/3 - 2*a**2 - 2*a. What is the remainder when i is divided by k(-7)?
8
Suppose -3*a + 40 = -2*k, -4*k - 4 + 14 = 3*a. Let l = 4 - 7. Let v = 7 + l. Calculate the remainder when a is divided by v.
2
Let r = -6 + 10. Suppose r*i = -13 + 1. What is the remainder when 20 - 1 - (-9)/i is divided by 9?
7
Suppose 0 = 4*k - 5*t - 43, 0*k = -4*k - 3*t + 51. Calculate the remainder when (-2 + 28/k)*27 is divided by 5.
4
Suppose 2*b + 78 = 5*b. Suppose -x - 57 = -5*p, 3 = p + 5*x + 2. Let q = -2 + p. Calculate the remainder when b is divided by q.
8
Let i be ((-18)/(-15))/(4/10). Suppose 2*v = i*t - 9, v + 0 = -t + 3. Let d(f) = 10*f + 1. What is the remainder when d(t) is divided by 16?
15
Let i(d) = 5*d - 3 - 4*d + 0*d. Let g be i(5). Suppose -g*w + w = -31. Calculate the remainder when w is divided by 11.
9
Let t be (2 + 345/6)*2. Suppose -3*n + 0*n = -3. What is the remainder when t/3 - n/(-3) is divided by 14?
12
Let r(o) = -6*o + 10. Let y(q) = -q**2 + 14*q - 8. What is the remainder when y(9) is divided by r(0)?
7
Suppose 0*u + 4*u = 52. What is the remainder when 48 is divided by u?
9
Let z(t) = t**3 - 7*t**2 + 5*t + 7. Calculate the remainder when 1/(-1 + -1 + 3) is divided by z(6).
0
Suppose -2*n + 3*y = -23, 5*n + 4*y - 20 = 3. Calculate the remainder when n is divided by 3.
1
Let b = 5 - 17. Calculate the remainder when 1/3*b/(-1) is divided by 2.
0
Suppose 0*a - 2*j + 12 = a, -3*a + 4*j + 26 = 0. Calculate the remainder when a is divided by 4.
2
Suppose 0 = -5*x + 4*v + 19, -5*v + 8 = -12. Calculate the remainder when 83 is divided by x.
6
Suppose -3*o - 2*v = -55 - 21, -3*v = -3*o + 66. Suppose f + 12 = 4. Let i(c) = -c + 5. Calculate the remainder when o is divided by i(f).
11
Suppose -h + 4 = -i, 4*i + 0*h + h = -26. Let a be (3/4)/((-1)/4). Let p = a - i. What is the remainder when p is divided by 2?
1
Suppose -2*m - 3*m + 175 = 0. Let c = 64 - m. Calculate the remainder when c is divided by 10.
9
Suppose q = 3*k + k + 10, -2*q + 8 = -2*k. Let j = 14 + k. Calculate the remainder when j is divided by 7.
5
Let g(k) = -k**3 + 8*k**2 - 3*k + 2. Suppose 5*z - 2*i + 50 = 0, -3*z - 2 = -2*i + 32. What is the remainder when g(7) is divided by 10 + z/4 + 3?
8
Let t(n) = n**2 + n - 4. Let v be t(-3). Calculate the remainder when 39 is divided by -1*v - (-110)/5.
19
Suppose 2*t - 6*f = -2*f + 190, 0 = -3*t - 3*f + 303. Calculate the remainder when t is divided by 17.
14
Let v(s) = s**3 + 22*s**2 + 38*s + 14. Calculate the remainder when v(-20) is divided by 19.
16
Let m(h) = h**3 + 12*h**2 - 15*h. Calculate the remainder when 76 is divided by m(-13).
24
Suppose 11 = -3*x - 1, -3*o + 5*x = -26. What is the remainder when 53 is divided by o/(0 - -4)*36?
17
Let t(g) be the first derivative of g**4/4 + 7*g**3/3 - 5*g**2 - 3*g - 3. Let u be t(-8). Let h = u + -6. Calculate the remainder when h is divided by 3.
1
Let l(t) = -t**3 - 47*t**2 + 3*t + 191. What is the remainder when l(-47) is divided by -1*(3 + -1) - -19?
16
Let f be (8/(-6))/((-10)/15). Suppose 3*k - 2*d + f = 0, -5*d = 2*k - 10 - 14. Suppose 2 = k*m - 2. What is the remainder when 2 is divided by m?
0
Let u = -3 + 0. Let w(k) = k**3 + 5*k**2 + 2*k + 3. Suppose -t - 15 = -2*d, 8*d = 13*d + 5*t - 60. What is the remainder when w(u) is divided by d?
6
Suppose 0*f - 10 = 2*f - 5*p, f - 10 = -5*p. Suppose -4*n + n + 9 = f. Let g = -1 + n. Calculate the remainder when g is divided by 1.
0
Suppose 0 = 2*n + 5*y - y - 172, 3*n - 252 = -4*y. What is the remainder when n is divided by 9?
8
Let y = -5 - -7. What is the remainder when 17/((-1)/(y/(-2))) is divided by 6?
5
Suppose -5*u + o = -498, -u + 2*o + 111 = -2*o. Calculate the remainder when u is divided by 25.
24
Let r be 0/(-1) - (-3 + 5). Let m = r - -5. What is the remainder when 27 is divided by (m + -2 - -2) + 11?
13
Let y = 7 - 11. What is the remainder when (-15)/(-10) + (-365)/(-10) is divided by (26/y)/(2/(-4))?
12
Let b be 3/9 - 2338/(-6). Suppose -6*i = -i + b. Let k = 123 + i. What is the remainder when k is divided by 12?
9
What is the remainder when -1 - -77 - (1 - 2) is divided by 20?
17
Let u(y) = -18*y - 8. Calculate the remainder when u(-4) is divided by 22.
20
Suppose -24 - 126 = -5*r. Calculate the remainder when 27 is divided by 74/5 + 6/r.
12
Calculate the remainder when 2/(-3) + 286/6 is divided by (-158)/(-10) + (-8)/(-40).
15
Let s(i) = -i - 2. Let w be s(-4). Let p = 2 + w. Let o = 11 - 6. Calculate the remainder when o is divided by p.
1
Suppose 0 = -4*q + 12, 2*o + 0*o + 222 = -4*q. Let y = o + 166. Calculate the remainder when y is divided by 17.
15
Suppose -3*y + 24 = 2*s, 0 = 2*s - 5*s - 9. Let d be -2 + -4*12/(-16). Let o(v) = 30*v**3 - 2*v + 1. What is the remainder when o(d) is divided by y?
9
Let m = 16 + -14. What is the remainder when (-155)/(-55) - m/(-11) is divided by 2?
1
Let j(f) = 6*f**2 + 16*f + 4. Let i(m) = -5*m**2 - 15*m - 5. Let x(y) = -7*i(y) - 6*j(y). What is the remainder when x(8) is divided by 7?
5
Suppose 3*o - 3 = 9. Suppose -4*g = 9 - 37. Calculate the remainder when g is divided by o.
3
Let h(c) be the second derivative of -c**4/12 + 7*c**3/6 - 9*c**2/2 - 2*c. Let m be h(7). What is the remainder when 6 is divided by 8/36 - 34/m?
2
Let s(b) = 3*b**2 + b. Let o be s(-1). Suppose -100 = o*k - 6*k. Let v(q) = q**2 - q + 1. Calculate the remainder when k is divided by v(-3).
12
Calculate the remainder when (-9)/15 + (-506)/(-10) is divided by 13.
11
Let r(s) = -6*s**2 - s. Let b be r(1). Let v = 20 - b. What is the remainder when v is divided by 10?
7
Let j = 16 + -1. Suppose 0 = 2*m - 1151 - 265. What is the remainder when m/16 - 2/8 is divided by j?
14
Suppose -5*c + 2*q = -37, 0 = 4*c - q - 28 - 4. What is the remainder when 52 is divided by c?
7
Suppose 34*o - 230 = 24*o. Calculate the remainder when 62 is divided by o.
16
Let h = -2 + 28. What is the remainder when 49 is divided by h?
23
Let m(f) = -f**3 + 7*f**2 + 5*f - 8. Let u be m(7). Suppose 0 = 5*x - u - 138. What is the remainder when x is divided by 18?
15
Suppose -6 = -2*i + 2. Let a(z) = -z**2 - 11*z - 7. What is the remainder when a(-9) is divided by i?
3
What is the remainder when 3 + -2 + 6 + -5 - -31 is divided by 9?
6
Suppose 0 = -4*l - 7*a + 4*a + 56, 0 = -5*a + 20. What is the remainder when 43 is divided by l?
10
Suppose 3*p - 6*p + 57 = 0. Calculate the remainder when p is divided by 11.
8
Suppose 4*v - 38 = -14. Let z(g) = -28*g**2 + g. Let q be z(-1). Let m = -18 - q. Calculate the remainder when m is divided by v.
5
Let a = 10 + -10. Suppose a = 3*h + h - 36. Calculate the remainder when 33 is divided by h.
6
Let z(r) be the second derivative of r**4/2 + r**3/6 - 3*r**2 - 2*r. Let u be z(-5). Suppose u = 3*f + 25. Calculate the remainder when f is divided by 10.
8
Suppose 0*n - 4*n + 12 = 0. Suppose 2*t = m + m - 18, -5*m = n*t - 45. What is the remainder when 15 is divided by m?
6
Let o(b) = b**2 - 5*b - 6. Let g be o(7). Let c = -29 - -39. What is the remainder when 310/g - (-4)/16 is divided by c?
9
Suppose 4*h + 27 = 99. Calculate the remainder w