 remainder when p is divided by 11?
10
What is the remainder when 78 is divided by (-43)/(-5) - (-12)/30?
6
Let f = -61 + 76. Calculate the remainder when f is divided by 4.
3
Suppose 0 = -3*z + 4*u + 230, 0 = -z - 3*u + 67 + 14. What is the remainder when z is divided by 16?
14
Suppose -12*m + 11*m = -51. Let a = m + -36. What is the remainder when 43 is divided by a?
13
Suppose -3*y = 4*q - 22 + 3, -q + 6 = y. Suppose y = t + 1. Suppose 0 = -t*h + 282 - 98. What is the remainder when h is divided by 16?
14
Let y = 181 + 7. Suppose 21 + 143 = 4*l + 2*p, 0 = -4*l + 4*p + y. Calculate the remainder when l is divided by 22.
21
Let b(k) = -k + 14. Let d be b(12). Suppose 0 = 2*u + j - 8, 3*j - j = d*u - 14. What is the remainder when u is divided by 4?
1
Let d(r) = 7*r**2 - 1. Let b be d(1). Let i be 1/((3/b)/1). Let j = i - -6. Calculate the remainder when 15 is divided by j.
7
Suppose 2*v = -2 + 6. Let g be (48/(-9) + v)*-18. Suppose -3*w + 4*p = -w - 24, 5*w - g = -4*p. What is the remainder when w is divided by 7?
5
Let m(g) be the third derivative of g**4/24 - 2*g**3/3 + g**2. Let a = 17 + -10. What is the remainder when a is divided by m(7)?
1
Let i = 12 - -11. Calculate the remainder when i is divided by 13.
10
Suppose 0 = -h - w + 15, 0*h - 4*w + 21 = h. What is the remainder when 23 is divided by h?
10
Let r = -1 - -4. Suppose 2*w - 4*l - 42 = 0, 2*w - 69 = -2*w + r*l. What is the remainder when 28 is divided by w?
13
Let c(s) = -2*s**2 + 14*s - 9. Let b(l) = -l**2 - 6*l + 6. Let y be b(-6). What is the remainder when 5 is divided by c(y)?
2
Let b(o) = 2*o**2 + 0*o + 2 + 7*o + 0*o**2. Suppose 24 + 72 = 3*x. Calculate the remainder when x is divided by b(-5).
15
Suppose 2*r + 4*g + 198 = 0, -3*r + r - 178 = -g. What is the remainder when (-2)/(-7) + (-2067)/r is divided by 6?
5
Let f = -107 - -176. What is the remainder when f is divided by 8?
5
Let w(d) = d. Let p be w(1). Let n(c) = -4 - 2*c + 2 + p + 2*c**2. Calculate the remainder when 20 is divided by n(-2).
9
Calculate the remainder when (99/6)/((-6)/(-8)) is divided by 6.
4
Let y(m) = 7*m + 1. Suppose 4*i = 5*i + 5*t - 82, 4*t - 368 = -5*i. What is the remainder when i is divided by y(2)?
12
Let l = -33 - -39. What is the remainder when 47 is divided by l?
5
Let f = -29 - -92. Let v(l) = 4*l**3 - 3*l**2 + 2*l + 1. Let a be v(2). Suppose -4*c + a + f = 0. Calculate the remainder when c is divided by 8.
6
Suppose -40 = -2*z - 5*t, 0 = 4*z - t + 8 - 66. Let v = 16 + z. What is the remainder when v is divided by 11?
9
Suppose -2*i + 5*d = -24, -7*d = -2*i - 4*d + 16. Suppose -i*k + 3*a + 52 = 3*k, -k + 24 = -4*a. What is the remainder when 29 is divided by k?
5
Suppose -2*r + 7*r = 5. Let v = -1 + r. Let i(p) = p**2 - p + 7. Calculate the remainder when i(v) is divided by 3.
1
Suppose -92 = 8*y - 4*y. Let b(v) = 2*v**2 - 14*v + 7. Let o be b(9). Let x = y + o. What is the remainder when x is divided by 7?
6
Calculate the remainder when 37 is divided by (-32)/14 + 2 + (-288)/(-28).
7
What is the remainder when ((-8)/(-24))/(3/423) is divided by 12?
11
Suppose -14 = -5*i + 11. Let h(r) = -r**2 + 9*r + 5. Calculate the remainder when h(i) is divided by 9.
7
Suppose -2*z + 9 + 15 = 0. Suppose 4*i = 4*r + 3*i - 86, -3*i - 90 = -4*r. Calculate the remainder when r is divided by z.
9
Suppose -3*f = -4*f + 30. Calculate the remainder when 117 is divided by f.
27
Let z(x) be the third derivative of x**5/60 - x**4/6 + x**3/3 - 3*x**2. What is the remainder when 26 is divided by z(6)?
12
Let x = -188 + 202. What is the remainder when 51 is divided by x?
9
Suppose -5*v - u - 45 = 0, u + 17 = -2*v + 2. Let r be 6/(-2)*28/(-6). Let x = v + r. Calculate the remainder when 10 is divided by x.
2
Let o = 32 - 8. Suppose -4*w - 4*a = -196, -5*w = -0*a - 5*a - 225. What is the remainder when w is divided by o?
23
Suppose -2*q = -0*q - 50. Suppose -5*x + q = 0, -4*t - 5*x + 17 + 24 = 0. What is the remainder when 3/(18/(-28))*-3 is divided by t?
2
Let t(z) = z**2 + 15*z + 37. Suppose -24 = -4*m + 48. What is the remainder when t(-16) is divided by m?
17
Suppose 3*m - w = 94, m + 5*w + 107 = 5*m. Let d(q) = -2*q**3 - 2*q - 3. Calculate the remainder when m is divided by d(-2).
16
Let s = 16 + -9. Let x(g) = g**2 - 6*g - 7. Let k be x(s). Suppose 3*u + z = 15, -5*u + k*z + 25 = 5*z. What is the remainder when 12 is divided by u?
2
Suppose 0*c - 5*c = 30. Let a(d) = -3*d - 2*d + 3*d - 5. What is the remainder when 19 is divided by a(c)?
5
Let x = 114 + -55. Suppose g - 1 = 0, -3*l + g = -l - x. Calculate the remainder when l is divided by 16.
14
Let p be (12/30)/((-1)/(-10)). Let i = 1 + p. Suppose i*n - 3*u + 0*u = 16, -3*n - 3*u + 24 = 0. Calculate the remainder when 14 is divided by n.
4
Let u(p) = p**3 + 7*p**2 - 4*p - 5. Suppose -11*j + 10*j - 7 = 0. Calculate the remainder when 68 is divided by u(j).
22
Suppose 0 = -8*z + 124 + 44. What is the remainder when z is divided by 3?
0
Let r = -11 + 55. Let z(f) = -f - 7. Let u be z(0). Let a = u + 22. What is the remainder when r is divided by a?
14
Suppose 5*g = 3*w + 90, -5*g - 3*w - 8 = -128. What is the remainder when g is divided by 6?
3
Suppose -3*u + 0*u = 15. Let n(r) = -r**2 - 10*r + 4. Suppose 2*k + 6*v - 20 = v, k = v + 17. Calculate the remainder when n(u) is divided by k.
14
Let g = 13 + -8. Let k(n) = n**2 + 9*n - 6. Let o be k(-10). Suppose g*q = -f + 19 + 39, -o*q = -f - 50. What is the remainder when 34 is divided by q?
10
Suppose 3*q - j = -0*q - 8, -3*q + 4*j = -4. What is the remainder when (-14)/56 + (-33)/q is divided by 5?
3
Let d = 42 - 17. Suppose -3*a = 2*a - d. Calculate the remainder when a is divided by 2.
1
Let r(q) = 7*q - 6*q + 2 + q + 6. What is the remainder when 12 is divided by r(0)?
4
Let k(m) = m**3 - 19*m**2 + 18*m + 26. Calculate the remainder when 103 is divided by k(18).
25
Let a(f) = 3*f**2 + 2*f - 9. What is the remainder when a(4) is divided by 24?
23
Suppose 0 = 2*m - 27 - 1. Calculate the remainder when 40 is divided by m.
12
Suppose 0*g - 10 = 2*g, 0 = 2*z + 5*g - 89. Suppose -y + 3*p = -34, 3*y + p - z = 25. What is the remainder when (-1 - 1) + y*1 is divided by 14?
12
Suppose 0 = 4*m + 3*p, 3*m + 11 = -0*m - 5*p. Let i = 28 - 20. Calculate the remainder when i is divided by m.
2
What is the remainder when 4 is divided by 8/(-6)*21/(-14)?
0
Let p = 2 - -2. Suppose -p*a = 5*v + 21 + 9, 4*a + 12 = 4*v. Calculate the remainder when 47 is divided by (-4 - v)/(2/(-12)).
11
Let x be -1 + -3 - (65 - -10). Let t = x - -116. What is the remainder when 73 is divided by t?
36
Let k = 44 + -27. Calculate the remainder when 25 is divided by k.
8
Suppose -3*q - q = 192. What is the remainder when (q/5)/((-9)/60) is divided by 22?
20
Suppose -t + 15 = -0*t. Let o = t + -4. Calculate the remainder when 21 is divided by o.
10
Let n(v) = -v**3 + 13*v**2 + 2*v + 5. Calculate the remainder when 92 is divided by n(13).
30
Suppose -20 = 2*o + 3*o, -2*d = 3*o + 22. Let t(y) = 2*y**2 + 5*y - 3. Let f(r) = 7*r - 2. Calculate the remainder when t(d) is divided by f(2).
10
Suppose -104 = 5*x - 324. Calculate the remainder when x is divided by 12.
8
Suppose 0 = j - t - 1 + 5, 5*j + 16 = 4*t. Suppose j = 3*o - 2*o - 11. What is the remainder when o is divided by 6?
5
Let h(c) = 5*c + 18. What is the remainder when h(20) is divided by 40?
38
Let j(s) = -12*s + 4. Let z be j(-3). Suppose 6*a = a + z. Let t(l) = -l**2 + 8*l + 2. Calculate the remainder when t(a) is divided by 2.
0
Let h(c) = -c**3 - 12*c**2 - 13*c - 2. What is the remainder when h(-11) is divided by 11?
9
Suppose -2*l + 58 = 4*y, -4*y + 22 = -2*l - 40. Suppose -2*r - 2 = 0, -4*s + 4*r = s - 39. Suppose -23 + s = -2*d. What is the remainder when y is divided by d?
7
Let v(m) = -m - 2*m - m - 4 + 2*m. Calculate the remainder when 4 is divided by v(-3).
0
Suppose 9*o = 841 + 941. What is the remainder when o is divided by 40?
38
Suppose -h - 4*b = -311, -h - 2*b - 1511 = -6*h. Calculate the remainder when h is divided by 16.
15
Let d(h) = -h**2 + h + 25. Let f = -6 - -24. Calculate the remainder when f is divided by d(-4).
3
Suppose 0 = t + 4*t - 40. What is the remainder when t is divided by 5?
3
Let r(a) = 7*a - 44. What is the remainder when r(21) is divided by 15?
13
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