hat is the remainder when a(-5) is divided by (12/(-18))/((-4)/18)?
1
Let m(a) = a**2 - 20*a + 40. What is the remainder when 4*7*(-1)/(-4) is divided by m(18)?
3
Let w = 166 + -237. What is the remainder when 52 is divided by (-1)/(-4) - w/4?
16
Suppose -5*i + 15 - 225 = 0. Let k = -64 - i. Let y = k - -33. What is the remainder when 30 is divided by y?
8
Calculate the remainder when (21/(-15) + 1)*-40 is divided by 4.
0
Suppose -2*i - 14 = 12. Let n(b) = -b**3 - 13*b**2 - 2*b - 8. Calculate the remainder when 69 is divided by n(i).
15
Let r = 21 - 16. Let l = r + 38. Calculate the remainder when l is divided by 11.
10
Let z(f) = -f + 2 + 0 - 1. Let i be z(1). Suppose i = u - 3*u + 3*r + 73, -4*u + 136 = -4*r. Calculate the remainder when u is divided by 10.
9
Let h(p) = p**3 - 8*p**2 - 7*p - 4. Calculate the remainder when 40 is divided by h(9).
12
Let o(a) = -a**3 + 2*a + 6. Suppose 8 = -4*z, -2*f + 2*z + 29 = 3*f. What is the remainder when o(0) is divided by f?
1
Let i = -36 + 104. Suppose -3*m - 5*p + 0*p = -i, 2*m = 4*p + 82. Calculate the remainder when m is divided by 11.
9
Let m be 14/3*(-33)/(-22). Suppose -i + m = -17. Calculate the remainder when i is divided by 9.
6
Let i = -27 - -41. Suppose 0 = -0*f - 2*f + 108. Calculate the remainder when f is divided by i.
12
Suppose 3*r = a - 4 + 2, -5*r - 4 = -2*a. Suppose -2*h + 20 = -r*h. What is the remainder when h is divided by 3?
1
Let g = -9 - 21. Calculate the remainder when 13 is divided by 37/5 - (-12)/g.
6
Let h = 121 - 77. Suppose 0 = 5*f - 14 + h. Let c = f + 11. What is the remainder when 14 is divided by c?
4
Let p be (0 + -1)/(1/6). Let u = p + 9. Calculate the remainder when 5 is divided by u.
2
Let a(d) = -d. Suppose -c + 15 = -3*q - 3, 0 = 2*c + 2*q - 60. Calculate the remainder when c is divided by a(-6).
3
Suppose 0*q + 2*q - 25 = 3*v, 0 = 5*q + 4*v - 74. What is the remainder when q is divided by 6?
2
Let b(y) be the first derivative of y**4/4 - 5*y**3/3 - 5*y**2/2 - y + 5. Calculate the remainder when 14 is divided by b(6).
4
Let z = 72 - 45. Calculate the remainder when z is divided by 15.
12
Let p(w) = -w - 1. Let d(o) = -5*o - 6. Let b(t) = 4*d(t) - 22*p(t). Let q be b(3). Suppose -9 = -q*n - 1. What is the remainder when 3 is divided by n?
1
Suppose h = -3*h. What is the remainder when (-34)/(1/(-1) + h) is divided by ((-10)/15)/(2/(-36))?
10
Suppose -2*d + 3*o + 58 = 0, -4*d + 2*o = -2*d - 54. What is the remainder when d is divided by (-9*1 + 1)/(-1)?
7
Let h(z) = -z**3 + 2*z**2 + 3*z + 3. Let t(a) = a**3 - 4*a - 4. What is the remainder when t(3) is divided by h(3)?
2
Suppose 2*d - k = d + 17, 0 = -3*d + 2*k + 46. Calculate the remainder when 35 is divided by d.
11
Let h(j) = j**2 - 4*j + 3. Suppose 14 + 4 = 2*y. Calculate the remainder when h(-4) is divided by y.
8
Let k be (4/(-12))/((-3)/27). Let f be 1 - ((-4 - -2) + k). Suppose f = 4*g - 61 - 23. What is the remainder when g is divided by 6?
3
Calculate the remainder when 118 is divided by 21 - (-3)/(-4 - -5).
22
Let z(o) = 14*o + 132. What is the remainder when z(0) is divided by 45?
42
Let i = 16 - 10. Let y be i/8 - (-30)/(-8). What is the remainder when 0 - ((-75)/y)/(-1) is divided by 13?
12
Calculate the remainder when (7 + -5 - -4)/((-3)/(-8)) is divided by 9.
7
Suppose 25*y - 23 = 24*y. Suppose -106 = -3*g + 26. Calculate the remainder when g is divided by y.
21
Let q(c) = 25*c - 3. Let l be q(3). Suppose 0 = 5*m - 7*m - l. Calculate the remainder when 1*1/(-2)*m is divided by 10.
8
Suppose h + h - g = 62, 3*h - 4*g - 103 = 0. Calculate the remainder when h is divided by 0/3 + 1 + 9.
9
Let a = 26 + -17. Calculate the remainder when (-1 - (-18)/10)*20 is divided by a.
7
Suppose -2*u + 10 = -38. What is the remainder when u is divided by (-6 - -9)/(3/13)?
11
Let p be 3*((-11)/(-3) - 2). Suppose -p*d - 7 = -2. What is the remainder when (-2)/(-1) + 45 + d is divided by 12?
10
Let l = 26 + -13. What is the remainder when 38 is divided by l?
12
Suppose l - 34 = 3*y, 4*l - 59 = 2*y + 47. Suppose 0 = -4*i, -3*i = 7*d - 2*d - l. Suppose -d*s = -10*s + 120. What is the remainder when s is divided by 13?
11
Suppose 5*v - 500 = -5*c, -32 = -v + 2*c + 71. Calculate the remainder when v is divided by 34.
33
Let m = -201 + 440. Let c be m - (-5)/((-10)/(-4)). Suppose -2*w - 137 = -3*p, -4*p = -3*w - c + 58. What is the remainder when p is divided by 16?
13
Let t(i) = -i**3 + 6*i**2 + 4*i + 5. What is the remainder when t(6) is divided by 11?
7
Suppose -36 = -w - 30. Suppose 0 = 2*a - 4 - 4. Suppose -h = -p + a, -2*p + 12 = p - 5*h. What is the remainder when w is divided by p?
2
Let a = 16 - 18. Let m(z) = -2*z**3 - z**2. What is the remainder when 57 is divided by m(a)?
9
Let b(g) = -g**3 - 7*g**2 - 7*g + 42. Calculate the remainder when b(-10) is divided by 46.
44
Suppose 0 = 2*a - 4*n - 104, 1 = -2*n - 1. Suppose q - 13 = -c + 2, 4*c - q - 50 = 0. What is the remainder when a is divided by c?
11
Let s(d) = -d + 6. Calculate the remainder when 972/28 + 2/7 is divided by s(-12).
17
Suppose 0*v - v - 5 = -u, -v - 4*u = 0. Calculate the remainder when 15 is divided by 7 + v + (-2)/(-2).
3
Let q(h) = -10*h + 2. Let o(z) = -z. Let u(g) = o(g) - q(g). Let l(r) = -3*r**3 - 3*r**2 - 4*r - 4. Calculate the remainder when l(-3) is divided by u(2).
14
Let h be (2 + 0 + -1)/(-1). What is the remainder when 9*(2 + h)*1 is divided by 1/(2*1/10)?
4
What is the remainder when 2 is divided by 10/(-70) - (-30)/14?
0
Suppose 6 - 1 = l. Let m(s) = -4*s + 2. Let z(a) = -2*a + 1. Let h(c) = -6*m(c) + 11*z(c). What is the remainder when h(5) is divided by l?
4
Suppose 6*j - 10 = 4*j. Let k = j + -4. What is the remainder when 2 is divided by k?
0
Let s = -11 - -2. Suppose -5 = q - 18. Let r = q - s. What is the remainder when r is divided by 8?
6
Suppose 0 = -16*h + 12*h + 136. Calculate the remainder when h is divided by 8.
2
Let t be 0 + 0 + 24/(-2). Let l = 6 + t. Let w(k) = -k**3 - 6*k**2 - 2*k - 8. What is the remainder when 6 is divided by w(l)?
2
Let j(y) = y**3 - 5*y**2. Suppose 2*v - 34 = -5*z - 0*z, 5*z - 28 = v. What is the remainder when j(z) is divided by 13?
10
Let w = -5 - -4. Let m = w + 5. Suppose m*k - 5*d = 27, -4*k - 5*d + 45 = k. What is the remainder when 15 is divided by k?
7
Let d be (-6)/2 - (-465)/(-3). Calculate the remainder when 24 is divided by d/(-18) - 14/(-63).
6
Suppose f - 2 = -f. Suppose -4*x + 164 = -5*z, -x + 61 = 2*z + 7. What is the remainder when x is divided by (6/f)/(6/16)?
14
Suppose 2*h - 2 - 4 = 0. What is the remainder when h is divided by (-8)/(-6) + (-1)/3?
0
Let h = 3 - 6. What is the remainder when -1*h/3*29 is divided by 10?
9
Let c(y) = -10*y + 11*y - 2*y**2 - 2*y**3 + y**3. What is the remainder when c(-4) is divided by 10?
8
Let f(b) = 4*b**3 - 3*b**2. Let t be f(2). Let w = 17 + t. What is the remainder when w is divided by 13?
11
Suppose 0 = 112*a - 113*a + 21. What is the remainder when a is divided by 13?
8
Suppose -2*y + 94 = -2*d, -4*d + 26 = 2*y + 190. Let m = d - -69. Calculate the remainder when m is divided by 9.
8
Let w(f) = -2*f + 5. Suppose -813 - 133 = -22*s. Calculate the remainder when s is divided by w(-5).
13
Suppose 3 = c + 5*t, -2*t + 10 = 2*c - 20. Let k = c + -6. What is the remainder when 19 is divided by k?
7
Suppose -5*z + 5 = -0, -3*z = -5*u - 83. What is the remainder when 28 is divided by -3 - (-4 + 2) - u?
13
Let r = 21 - 13. Suppose 0 + r = -4*a, 0 = f - 2*a - 6. Calculate the remainder when 9 is divided by f + (-1 + -1 - -3).
0
Let w(u) = u**2 - 7*u + 2. Let d be w(8). Let y = d - 7. Suppose y*a - 152 = -a. What is the remainder when a is divided by 13?
12
Let w = 62 - 42. Let k(r) = 3*r + 17. Calculate the remainder when k(14) is divided by w.
19
Suppose -5*y = y - 342. What is the remainder when y is divided by 12?
9
Let c(o) = 2*o**3 + 2*o**2 - 2*o - 8. Let k(n) = n**3 + 3*n**2 - 3*n - 7. Let b(f) = 2*c(f) - 3*k(f). What is the remainder when b(6) is divided by 24?
23
Let s(r) = 2*r - 5. Suppose 0 = -3*j + 15. Let i = 2 - -1. What is the remainder when s(j) is divided by i?
2
Let k = -62 + 26. Suppose 5*p = -106 + 396. Let s = p + k. Calculate the remainder when s is divided by 12.
10
Let r be 2/3 + 7/21. Suppose -3*k + 1 + r = -2*o, k = 3