 remainder when p(-3) is divided by 16.
9
Let c = -54 - -77. Suppose 22 = -4*h - 4*q - 98, -6 = 2*q. Let u = h + 39. Calculate the remainder when c is divided by u.
11
Let z(x) = -3 + 8*x - 4 - x. Let b = 10 + -5. Calculate the remainder when z(b) is divided by 15.
13
Let y(o) = -o + 11. Let v be y(8). Suppose v*g - 20 = -g. What is the remainder when g is divided by (-1 + 7)*1/2?
2
Let y = -8 + 21. What is the remainder when y is divided by 7?
6
Let r(j) = -j**3 + 6*j**2 + 3*j + 3. Let c(g) = -2*g + 10. Calculate the remainder when r(3) is divided by c(0).
9
Let u be (6/(-4))/((-2)/(-8)). Let b = -2 - u. What is the remainder when 97/11 + 8/44 is divided by b?
1
Let i be (-2 - -1)*1*3. Let z be (i/(-9))/((-2)/138). Let l = z + 40. What is the remainder when 66 is divided by l?
15
Calculate the remainder when 426/15 - 6/(-10) is divided by 16.
13
Suppose u = 7*u - 36. Let i = 56 - 29. What is the remainder when i is divided by u?
3
What is the remainder when 14 is divided by (15 + -11)*2/8*10?
4
Let v = -21 - -37. Suppose -5*f + 9*f + v = 0. What is the remainder when -2 + (0/2 - f) is divided by 2?
0
Let r(u) = -u**2 - 6*u - 6. Let h be r(-8). Let d = 36 + h. What is the remainder when 53 is divided by d?
11
Suppose -4*o - 70 = -238. Suppose 7*n = 2*n + 110. What is the remainder when o is divided by n?
20
Let w(c) = -9*c + 27. What is the remainder when w(-7) is divided by 19?
14
Suppose -b + 2*b = 10. Suppose -22 - b = -4*l. Let a = l + -3. Calculate the remainder when 14 is divided by a.
4
Let o = -58 + 71. What is the remainder when 41 is divided by o?
2
Suppose 0*k + 720 = 4*x - 2*k, 0 = -5*k. Suppose 2*m = -3*q + 6*m + x, 0 = 4*m + 12. Let w = q - 22. What is the remainder when w is divided by 18?
16
Suppose -40 = -3*l - 10. Calculate the remainder when 15 is divided by l.
5
Let c = -1 - -4. Suppose 5*v - 2*a - 3*a - 50 = 0, -3*v = -4*a - 35. What is the remainder when v is divided by c?
2
Let z = 16 - -3. Calculate the remainder when z is divided by 11.
8
Suppose -4*w - 2*c + 5 = -3*w, 5*c = 3*w - 4. Suppose -w*g + 9 = 0, 0 = -6*p + p - 5*g + 505. Calculate the remainder when p is divided by 25.
23
What is the remainder when 28 is divided by 144/15 - 12/(-30)?
8
Let n(i) = -7*i**3 - i**2 + 4*i + 4. What is the remainder when n(-2) is divided by 26?
22
Let c = 6 + -1. Suppose 0 = -c*f + f - 28. What is the remainder when 4/(-14) + (-9)/f is divided by 1?
0
Let z = 54 - 28. Suppose 0 = 3*l - c - z - 45, -3*c = -12. Calculate the remainder when l is divided by 9.
7
Let y(d) = -d**3 - d**2 + d + 6. Let c be y(0). Suppose -3*x - 36 = -c*x. Suppose w = -1 + x. Calculate the remainder when 32 is divided by w.
10
Let q(l) = 3*l + 1. What is the remainder when 46 is divided by q(5)?
14
Calculate the remainder when 94 is divided by (4/(-6))/((-2)/72).
22
Let i = 29 + -14. Let c(w) = -2*w. Let j be c(-1). Suppose j*h - 15 = 1. What is the remainder when i is divided by h?
7
Suppose n + 14 = -2*w + 112, -3*w - 5*n + 133 = 0. What is the remainder when w is divided by 13?
12
Let r(n) = n + 2. What is the remainder when 8 is divided by r(1)?
2
Let t = 8 + -5. Let p = 0 + -3. Let b = 5 + p. What is the remainder when t is divided by b?
1
Let z(p) = 5*p**3 + p**2 + 2*p + 1. Let j = -16 + 33. What is the remainder when z(2) is divided by j?
15
Let s(c) = -4*c**3 + 3*c**2 - c + 4. Let b be s(3). Let z = b - -138. What is the remainder when z is divided by 20?
18
Let b(y) = y**3 - 6*y**2 - 12*y + 4. Let g = 17 + -9. Calculate the remainder when b(g) is divided by 19.
17
Let d be -1 + 2 + -1 + 3. Suppose -3*g - 4*a + 61 = 0, -g - 4*a = d*g - 76. Calculate the remainder when 28 is divided by g.
13
Let t = 1 + 11. Let f be 27/(-18) + (-614)/(-4). Suppose -4*l + f = 60. Calculate the remainder when l is divided by t.
11
Let q be (1/(-2))/(2/(-16)). Let s be (q - 2)*(-21)/(-2). Suppose 0 = 3*l - s - 21. Calculate the remainder when l is divided by 8.
6
Suppose 4*w - 118 = -5*z - 3, -4*w = -5*z - 85. Calculate the remainder when w is divided by 7.
4
Suppose -5*q = 499 + 1. Let f = -58 - q. What is the remainder when f is divided by ((-66)/4)/(3/(-4))?
20
Let b(x) = 4*x + 2. Suppose 3*l - 2 = 4. Let p be b(l). Suppose 3*h + 27 = 5*j, 3*j - 3 = h + p. What is the remainder when 8 is divided by j?
2
Suppose -4*w = -4*v + 12, -3*v + 6 = -5*w - 1. Let g(c) = -4*c - 6. Let i be g(-7). Suppose h - i = -h. What is the remainder when h is divided by v?
3
Let o be (-2)/4 + (-9)/(-2). Suppose -2*q = -30 - o. Suppose 4*m - 32 = -4*l, 5*m - 26 = 3*l - l. Calculate the remainder when q is divided by m.
5
Suppose 15 = -2*b + 5*b. Let k(m) = -6*m - 8. Let i(g) = -7*g - 9. Let o(p) = b*i(p) - 6*k(p). What is the remainder when 21 is divided by o(8)?
10
Let n(m) = -m**2 + 29*m - 28. What is the remainder when n(19) is divided by 15?
12
Let d be (-2)/3*(-18)/4. Let z be ((-12)/(-10))/((-9)/30). What is the remainder when 4 is divided by (-6)/z + d/6?
0
Let i(s) = s**3 - 7*s**2 + 7*s. Calculate the remainder when i(6) is divided by 4.
2
Let j(z) = 2*z + 5. Suppose -4*r - 5*l = -148, -2*l + 4*l - 37 = -r. What is the remainder when r is divided by j(4)?
11
Let d = -10 - -16. Suppose d*j = j + 135. What is the remainder when 51 is divided by j?
24
Suppose 6*g = 11*g - 330. Calculate the remainder when g is divided by 14.
10
Let u(v) = -6*v. Let c be u(-1). Suppose -335 = a - c*a. Suppose -3*k + 43 = 2*d, -4*d + k - 4*k = -89. What is the remainder when a is divided by d?
21
Let z = 152 - 135. What is the remainder when z is divided by (-4)/(-14) - 122/(-14)?
8
Let v(n) = n**2 + 4*n - 1. Let m be v(-4). Calculate the remainder when m/(1/(-80)*2) is divided by 21.
19
Suppose -3*b + 205 + 53 = 0. What is the remainder when b is divided by 2/72*8 + 196/9?
20
Suppose 5*f - 121 = -6*f. What is the remainder when 31 is divided by f?
9
Calculate the remainder when (2 - (2 - 1))/((-6)/(-204)) is divided by 4.
2
Suppose -12 = -6*o + 42. What is the remainder when 24 is divided by o?
6
Suppose -2*y = -15 - 3. What is the remainder when (-9)/((-30)/y - -3) is divided by 15?
12
Let r = -54 + 80. What is the remainder when 77 is divided by r?
25
Let i(v) = -2*v - 14. Let d be i(-8). Suppose x - 18 - 8 = 0. Calculate the remainder when x is divided by 5 + (d - 4) + 4.
5
Let j = -230 - -412. What is the remainder when j is divided by 37?
34
Let d(s) = 3*s - 15. What is the remainder when 83 is divided by d(7)?
5
Let k be (1 + -3)*(-2)/(-4). Let c be k - -2 - 1 - -3. Suppose z - 34 = c. Calculate the remainder when z is divided by 13.
11
Let x(b) = 1 - b + 2*b - 3. Let h be x(6). Suppose h*n - m = 63, 0 = -n + 3*m + 8 + 5. What is the remainder when n is divided by 6?
4
Let i be (-7 + 10)*1/3. Calculate the remainder when (6 - i)/(2/6) is divided by 10.
5
Let l = 43 + -40. What is the remainder when 9 is divided by l?
0
Let r(m) = 54*m**2 - 2*m - 3. Calculate the remainder when r(-1) is divided by 11.
9
Suppose -8 - 4 = -4*y. Suppose -y*g = 2*g + 20. Calculate the remainder when 2 is divided by 3/(-2)*g/3.
0
Suppose 4*x + 30 = u - 9, -219 = -5*u - 4*x. Calculate the remainder when u is divided by 16.
11
Let s(j) = 8 + 6*j + 0*j + 5*j**2 + j**3 - 7*j. Calculate the remainder when 36 is divided by s(-5).
10
Let i(w) = 3*w + 4 - 2 - 4*w. What is the remainder when 1 + 30 - 24/12 is divided by i(-6)?
5
Let p(n) = -11*n + 2. Let h be p(-6). Let m = 120 - h. Suppose -o = -4*o - 4*v + m, v - 4 = 0. Calculate the remainder when 34 is divided by o.
10
Suppose 0 = l + a - 1, -4*l + 3*a + 17 = -3*l. Suppose 0 = l*y + 6*z - z - 45, -3*z + 13 = y. Calculate the remainder when 19 is divided by y.
5
Suppose 0*p - 3*p + 95 = 5*y, 33 = p + 2*y. Calculate the remainder when p is divided by 11.
3
Let u(b) = -b**3 + 9*b**2 - 2*b + 10. Let h be (-4)/4 - (-5 + 1). Suppose q - 23 + h = 0. Calculate the remainder when u(8) is divided by q.
18
Let b(d) = d**3 + 3*d**2 - 4*d + 1. Let m(y) = -1. Let f(u) = b(u) - 4*m(u). What is the remainder when 9 is divided by f(-4)?
4
Suppose -4*j - 75 = 4*b - 15, -2*b - 66 = 5*j. Let a = j + 33. Calculate the remainder when 41 is divided by a.
20
Suppose 7*u + 10 = 12*u. Suppose -5*c + 35 = -0*c. Calculate the remainder when c is divided by u.
1
Let l = -22 - -45. Calculate the rem