 the remainder when 56 is divided by 30/72*69 + 1/4?
27
Suppose -400 = 2*d - 6*d. Let w = d - 45. Calculate the remainder when w is divided by 14.
13
Let w(u) = 2*u**2 - 3*u + 3. Let i = -11 - -3. Let g be 27/(-12) - (-6)/i. What is the remainder when w(g) is divided by 11?
8
Suppose 2*g + 0*g = 30. Suppose -3*y - j + 0*j = -84, -y - 5*j + 14 = 0. What is the remainder when y is divided by g?
14
Suppose 3*h - 27 - 63 = 0. Suppose 3*l - h = -2*l. What is the remainder when 21 is divided by l?
3
Calculate the remainder when 161 is divided by 5*(18/(-20))/(19/(-114)).
26
Let w(m) = -m**2 + 21*m - 37. Let t be w(19). Suppose 1 = -5*o - 4. What is the remainder when 18 is divided by 9 + (t/(-1))/o?
8
Suppose 5*m - 2*t = 311, -268 = -5*m - 5*t + 57. Suppose -3*g + 48 = -0*g. Calculate the remainder when m is divided by g.
15
Let n(y) = 30*y**2 + y. Let r = -30 - -38. What is the remainder when n(1) is divided by r?
7
Suppose -f + 36 = 12. What is the remainder when f is divided by 9?
6
Let i(v) = v**3 - 8*v**2 + 9*v - 12. Suppose -3 - 3 = -3*w. What is the remainder when w is divided by i(7)?
0
Let v(w) = -w**2 - 4*w + 143. Let t(r) = -3*r - 2 + 6*r - r. Calculate the remainder when t(4) is divided by v(10).
0
Calculate the remainder when 176/6*(-60)/(-16) is divided by 7.
5
Let k(a) = a**2 - a + 1. Let t be k(2). Suppose 30 + 1 = m + t*x, 2*m + 3*x - 47 = 0. What is the remainder when 45 is divided by m?
13
Let y(u) = -4*u - 39. Calculate the remainder when 56 is divided by y(-17).
27
Let r(z) = z**3 - 8*z**2 + 2*z - 1. Let d be r(8). Let j = 43 + d. Calculate the remainder when j is divided by 15.
13
Let b(y) = y**3 - 8*y**2 + 11*y - 10. Suppose -36 = -4*v - 8. Let l(q) = 10*q**2. Calculate the remainder when b(v) is divided by l(-1).
8
Let j = 44 + -10. Let a = j - 6. Calculate the remainder when a is divided by 15.
13
Let v be 1 + -1 - -2 - -1. Suppose 0 = -v*j - 2*j. Suppose m + m + 72 = 4*f, f + 4*m - 36 = j. What is the remainder when 39 is divided by f?
19
Let t(b) = -11*b - 3. Let g be t(-5). Suppose 0*a = 4*a - g. Calculate the remainder when 24 is divided by a.
11
Let h = 2 + -2. Let q(m) = -m**3 - m**2 + m + 53. What is the remainder when q(h) is divided by 18?
17
Let x = 53 - 98. Suppose -4*d - 2*f - 2*f + 32 = 0, -3*d + 4*f = -31. What is the remainder when 223/d + (-10)/x is divided by 9?
7
Let k be (0*(2 + -1))/2. Suppose k = -0*g - 2*g + 68. What is the remainder when g is divided by 18?
16
Let o(i) = 4*i**2 + 22*i + 8. Calculate the remainder when 59 is divided by o(-6).
19
Suppose 0 = 4*f + f - 270. Calculate the remainder when f is divided by 15.
9
Suppose 5*h + 112 = 37. Let d = 26 + h. Suppose 2*j = -2*f, -5*f + 2*j = -0*f - 28. What is the remainder when d is divided by f?
3
Let y = 20 - 19. Let d = y + 6. Calculate the remainder when 18 is divided by d.
4
Let t(r) = -r**3 + 11*r**2 + 4. What is the remainder when 18 is divided by t(11)?
2
Let b = 5 + 0. Let d(r) be the first derivative of r**4/4 - 4*r**3/3 + 3*r**2/2 - 7*r + 1. Calculate the remainder when d(b) is divided by 17.
16
Let t(u) = 3*u - 2. Let s(b) = b**3 + 4*b**2 + 2*b. Let k be s(-3). Let z be t(k). Suppose -2*y = -z*y + 75. What is the remainder when 44 is divided by y?
14
Suppose -5*y - 26 = -11, 4*c + 4*y + 32 = 0. Let b = c - -11. What is the remainder when 11 is divided by b?
5
Let j(a) = -a**3 + 13*a**2 - a + 10. Let w be j(13). Calculate the remainder when w/1 - 27*-3 is divided by 16.
14
Let i(h) = -h**3 + 10*h**2 + 5*h + 14. What is the remainder when i(10) is divided by 13?
12
Let r = -4 + 6. Suppose 2*b + r*h = 68, 135 + 22 = 4*b - 3*h. Suppose -b = -5*c + 13. Calculate the remainder when c is divided by 6.
4
Suppose -7*t + 3*t = -108. What is the remainder when t is divided by 7?
6
Suppose 4*l + 3*m = 39, 3*m + 2*m = 5. Let i(a) = -24*a**3 + 2*a**2 + a. Let x(d) = d + 1. Let o be x(-2). Calculate the remainder when i(o) is divided by l.
7
Let c be 6/4 - 2/(-4). Suppose -2*t = c*t - 40. Calculate the remainder when t is divided by 3.
1
Suppose t = 4*b - 22, 0*b = 5*t - 3*b + 42. Let y be 2/t*-3*4. Let i = 11 - y. What is the remainder when 12 is divided by i?
5
Let o = 7 + -4. Suppose 0 = -0*a + a. Let k = a + o. Calculate the remainder when 4 is divided by k.
1
Suppose -2*l = 2*l - 36. Suppose 0*k = -5*k + 35. Calculate the remainder when k is divided by 2/l - 50/(-18).
1
Suppose -3*a + 14 = -31. What is the remainder when 42 is divided by a?
12
Let g(y) = -y**2 + 6*y - 3. Let h be g(4). Suppose h*r - 72 = r. What is the remainder when r is divided by 5?
3
Let v(a) be the second derivative of a**5/20 - 5*a**4/12 + 2*a**3/3 - a**2 - a. Suppose 4*u + u = 25. Calculate the remainder when v(u) is divided by 5.
3
Suppose 3*x = 2*x - 2. What is the remainder when 20 is divided by -3 - ((-11 - 1) + x)?
9
Calculate the remainder when (-68*(-12)/8)/((-6)/(-4)) is divided by 12.
8
Let i(k) = -k**3 - 4*k**2 - k - 4. Let r be i(-4). Suppose -2*o + 0*o - 8 = r. Calculate the remainder when (-66)/(-4)*o/(-2) is divided by 9.
6
Let s(z) = 4*z**3 - z**2 + 3*z - 3. Suppose -3*p - 80 = -8*p. What is the remainder when s(2) is divided by p?
15
Let l be 1/3 + 22/6. Suppose -36 = 3*n - l*n. Let f = n - 14. Calculate the remainder when f is divided by 8.
6
Suppose 4*n = 6*n - 12. What is the remainder when 15 is divided by n?
3
Let l = -22 + 43. What is the remainder when l is divided by 12?
9
Let i be 4 + -2*9/(-2). Suppose i*n + 24 = 16*n. What is the remainder when 22 is divided by n?
6
Let n = -370 + 191. Calculate the remainder when (-5)/(-20) - n/4 is divided by 23.
22
Suppose -3*n + 8 = -1, 4*w + 5*n = 23. Suppose -w*r + 4 = -4. Suppose i + r*o = -8, -4*i + 7*i + o = 20. What is the remainder when 14 is divided by i?
6
Suppose 17*g = 13*g + 128. Calculate the remainder when 94 is divided by g.
30
Let x(s) = -s + 5. Let k(l) = -7*l**2 + 2*l + 1. Let n be k(-1). Let z be (-2)/n - (-85)/(-20). What is the remainder when 26 is divided by x(z)?
8
Let c(l) = 35*l**2 - 7 - 34*l**2 - l + 2*l. What is the remainder when 12 is divided by c(3)?
2
Suppose 6*a = a + 65. Let k = -31 + 54. What is the remainder when k is divided by a?
10
Let z(r) = 2*r**3 + r**2 - 1. Calculate the remainder when 69 is divided by z(2).
12
Suppose 600 = 6*o + 9*o. What is the remainder when o is divided by 24?
16
Let m = 7 + -10. Calculate the remainder when (-12)/3*m/4 is divided by 2.
1
Let s = 120 + -15. Suppose 0 = -7*z + 2*z + s. Calculate the remainder when z is divided by 11.
10
Suppose -3*m + m = -16. What is the remainder when 12 is divided by m?
4
Let t(u) = u - 2. Let k be t(2). Suppose k*l = 5*l - 95. Calculate the remainder when l is divided by 10.
9
Let r(x) = x - 5. Suppose 0 = 5*c - 4*m - 28, 0 = -3*m - 1 + 10. What is the remainder when 3/12 + 81/12 is divided by r(c)?
1
Let r = 47 + -25. Calculate the remainder when r is divided by 13.
9
Let q be (-293)/5 + 4/(-10). Let y = q - -120. What is the remainder when y is divided by 96/9*12/8?
13
Suppose -28 - 74 = -3*f. Calculate the remainder when f is divided by 12.
10
Let m be (-55)/(-2) - (-6)/(-4). Suppose 3*t = 4*t - 3*w - 12, 4*t - m = w. Calculate the remainder when 21 is divided by t.
3
Let p(i) be the third derivative of 13*i**7/5040 + i**5/60 + 2*i**2. Let h(r) be the third derivative of p(r). What is the remainder when h(1) is divided by 5?
3
Let s(n) = -n**3 - 9*n**2 + 7*n - 24. Calculate the remainder when s(-10) is divided by 3.
0
Suppose 2*o = -3*o + 135. What is the remainder when o is divided by 16?
11
Suppose 2*p + 3*d + 15 = 0, 3*p + 2*d = -0*d - 30. What is the remainder when 5 is divided by (-15)/6*p/15?
1
Suppose -k + 2*i + 22 = -8, 4*k + 5*i - 81 = 0. Calculate the remainder when 71 is divided by k.
23
Let r(g) = 40*g. Calculate the remainder when r(1) is divided by 21.
19
Let q be (-2)/11 + 651/11. Suppose q - 221 = -3*o. Calculate the remainder when o is divided by 14.
12
Suppose 0 = 4*h + 20, -4*r - 3*h + 53 = -0*h. Suppose 0 = -13*c + 11*c + 66. What is the remainder when c is divided by r?
16
Let r be (-30)/4*24/(-15). Suppose f = 4*f - r. What is the remainder when 11 is divided by f?
3
Suppose 14*i = -2*i + 80. Calculate the remainder when 67 is divided by i.
2
Suppose -5*u = -5*d - 70, 2*d = 5*d - 3.