is divided by z?
1
Let x = 2 - 2. Calculate the remainder when 4 is divided by 3 + x*3/(-6).
1
Suppose 0*n + n - 37 = 0. What is the remainder when n is divided by 2/8 + 546/56?
7
Suppose -27 = -z + 161. Suppose -u + 4*d = -5*u + z, -4*d = -u + 47. What is the remainder when u is divided by 16?
15
Let n(w) = -58*w**3 + w**2 + w. Let p be n(-1). Let u = p + -24. What is the remainder when u is divided by 12?
10
Let m = 8 - 4. Suppose 0 = d - m*d + 30. Let p(z) = -13*z + 2. What is the remainder when p(-2) is divided by d?
8
Suppose 98 = 5*i - 4*r - 19, 135 = 5*i + 5*r. What is the remainder when i is divided by 9?
7
Let v be (12/10)/((-3)/(-15)). Suppose 0 = 13*j - 8*j - 40. Suppose -j*x + v*x + 32 = 0. Calculate the remainder when x is divided by 9.
7
Suppose -2*m = 4*h - 40, 6*h - 50 = h - 3*m. What is the remainder when 15 is divided by 16/40 + 76/h?
7
Let d be ((-4)/3)/(2/(-36)). Let g(a) = a**3 - 7*a**2 + 5*a + 5. Let t be g(6). What is the remainder when d - (-2 - t)*0 is divided by 13?
11
Let k = -2 - -72. What is the remainder when k is divided by 24?
22
Let z be -3 + -2 + 2 + -43. Let h = -19 - z. What is the remainder when 51 is divided by h?
24
Suppose 3*j - 2 = 10. Suppose -2*l = 4*m - 28, -l + 35 = j*l + 3*m. What is the remainder when l is divided by 3?
1
Let w(b) = -2*b**2 + 7*b. Let r(j) = 5*j**2 - 22*j + 1. Let h(g) = 3*r(g) + 8*w(g). Calculate the remainder when h(-7) is divided by 9.
6
Suppose -5*a = 4*y - 347, 5*y = -0*a + 5*a + 400. Calculate the remainder when y is divided by 12.
11
Let i(w) = -w**3 + 5*w**2 - 3*w - 5. Let b be i(4). Suppose 0 = 5*s + 5 - 85. What is the remainder when b - 3/(-3) - -31 is divided by s?
15
Suppose 0 = -4*n + 3 + 5. Let b(m) = 33*m - 2. What is the remainder when b(n) is divided by 14/(-4)*(-176)/28?
20
Suppose -2*t + 3*d = -4*t + 60, 0 = -3*t - 3*d + 96. Let k(h) = -20*h - 1. What is the remainder when t is divided by k(-1)?
17
Let j = -27 + 36. Calculate the remainder when 25 is divided by j.
7
Suppose 54 = 3*z - 0*d + 3*d, 4*d - 58 = -3*z. Calculate the remainder when 35 is divided by z.
7
Suppose -5*u + 85 = 2*j, -2*u - 120 = -7*u + 5*j. Let a(q) = 9*q**2 - 2*q - 1. Calculate the remainder when a(3) is divided by u.
17
Let j = 27 + -12. Let k(z) = -3*z**3 - 5*z**2 - 4*z - 4. What is the remainder when k(-3) is divided by j?
14
Suppose 4*y - 5*y + 10 = 0. Suppose -4*o + o + 3 = 2*p, o = -5*p + 1. Calculate the remainder when ((-6)/(-3))/(o/9) is divided by y.
8
Let z be ((-31)/2)/((-2)/16). Suppose -26 = -o + 3*r - r, 102 = 5*o + 4*r. Calculate the remainder when o is divided by (-4)/10 + z/10.
10
Suppose -b = b - 3*s, b = 4*s. Suppose 8 = 4*t - b*t. Let o(h) = -h + 12. What is the remainder when o(5) is divided by t?
1
Let s be (-46)/4*(-1 + 5). Let c be s/(-8) - (-4)/16. Let t = c + -5. Calculate the remainder when t is divided by 1.
0
Suppose 36 = 2*s + 6. Calculate the remainder when s is divided by 9.
6
Suppose -2*b = 6*b - 1432. Calculate the remainder when b is divided by 26.
23
Let d = -15 + 32. Calculate the remainder when d is divided by 10.
7
Suppose 3*g = -2*g + 20. Suppose -5*f + g = -3*f. What is the remainder when (-304)/(-6) - f/3 is divided by 26?
24
Suppose -27 - 28 = -5*i + 4*y, 5*i + 4*y - 95 = 0. Suppose i = -h + 6*h. What is the remainder when (-3)/(39/(-30) + (-1)/(-1)) is divided by h?
1
Suppose -9*i + 4*i = -1200. Suppose -5*p - 20 = 0, -p - i = -4*c - 4*p. What is the remainder when c is divided by 16?
15
Let c(n) = -3*n**3 - 4*n**2 - n + 2. Suppose -4*h - 4*k + 183 = -3*k, -4*h + 3*k + 187 = 0. Calculate the remainder when h is divided by c(-2).
10
Suppose 9*d - 6*d = 111. What is the remainder when d is divided by 13?
11
Suppose 20 = j + 17. Calculate the remainder when 11 is divided by j.
2
Suppose -63 = -3*q + 2*m, -5*m + 29 = 2*q + 6. What is the remainder when q is divided by 11?
8
Suppose 4*p - 2*c - 50 = c, 6 = 3*c. Suppose -4*d - b - 7 - 6 = 0, 0 = -2*d + 5*b + 21. What is the remainder when d/(-3 - -1)*40 is divided by p?
12
Suppose -4*w = -4*p - 8, 4*w - 2*p - 10 = p. Let b(x) = 4*x**2 - 6*x. Calculate the remainder when b(4) is divided by (-30)/(-2) + w/(-4).
12
Let u = -1 - 2. Let d = 6 - 4. What is the remainder when (u/d)/((-6)/104) is divided by 9?
8
Let h = -39 - -64. Let r(k) = k**3 - 9*k**2 + 17*k - 7. What is the remainder when h is divided by r(7)?
11
Let z(i) = i**3 - 18*i**2 + 33*i + 5. Calculate the remainder when z(16) is divided by 6/(1 + (-1)/2).
9
Suppose m + 6 = 4*m. Suppose 2*w - 113 = -5*z, -m*w - 2*w = -3*z + 73. What is the remainder when 91 is divided by z?
22
Let u(j) = 5*j - 6. Let m(i) = -26*i + 31. Let k(l) = 2*m(l) + 11*u(l). What is the remainder when 19 is divided by k(5)?
8
Let k(n) = 2*n - 3. Let o be k(5). Suppose u + 1 = o. What is the remainder when 17 is divided by u?
5
Calculate the remainder when (-438)/(-4)*8/(-84)*-14 is divided by 30.
26
Let v = 1 + 1. Let c be v/5 - (-46)/10. Suppose -5*b + 62 + 31 = -2*d, -c*b - 4*d = -99. Calculate the remainder when b is divided by 7.
5
Let l(i) = i**2 + 10*i - 19. What is the remainder when 55 is divided by l(-13)?
15
Let l(x) = -9*x**2 + 25*x - 13. Let f(w) = -5*w**2 + 13*w - 7. Let a(m) = -7*f(m) + 4*l(m). Calculate the remainder when a(7) is divided by 6.
5
Let h = -3 - -74. Suppose -l = 5*s - h, -2*l = -3*s - 3*l + 41. What is the remainder when s is divided by 4?
3
Let z(l) = -l**2 - 13*l + 4. Let c be z(-6). Suppose 2*a + 0*j = j + c, 0 = 5*a + 3*j - 115. Calculate the remainder when a is divided by 6.
5
Let t = 12 + -10. Let j = 8 + -5. What is the remainder when j is divided by t?
1
Let r = 48 + -68. Let b = r + 46. Let d = 18 - 9. What is the remainder when b is divided by d?
8
Suppose -p = -4*p - 3. Let i = -2 + 5. Let x = i - p. Calculate the remainder when 7 is divided by x.
3
Suppose 0 = 5*j - 134 + 9. Let m = j - 20. What is the remainder when 28 is divided by m?
3
Let r be -1 - 14/(-4)*2. Let t(j) = 6*j - 6. What is the remainder when t(r) is divided by 16?
14
Suppose -3*m - 22 = 2*w - 115, -2*m = -4*w + 146. What is the remainder when w is divided by 15?
9
Suppose 2 = 2*n - 4. Calculate the remainder when 4 is divided by -3*n/((-9)/2).
0
Let o = 10 - 10. Suppose o = 3*p - 1 - 2, 2*t - 3 = 3*p. Calculate the remainder when 15 is divided by t.
0
Suppose 2*o + 6*r = 2*r + 54, 3*o + 3*r - 69 = 0. Calculate the remainder when o is divided by 11.
8
Let i(v) = 20*v**3 - v**2 - v + 1. Calculate the remainder when i(1) is divided by 7.
5
Suppose q = -4*q - 140. Calculate the remainder when 14/(-21) - 17/(-3) is divided by q/(-10) + 3/15.
2
Let n(f) = f**2 - 11*f - 10. Let q be n(12). Suppose -215 = -q*r - 3*r. Let z(m) = m**2 - m - 5. Calculate the remainder when r is divided by z(-4).
13
Suppose 0 = -7*j + 2*j + 50. Let f = j - 3. What is the remainder when 27 is divided by f?
6
Suppose 2*m + p - 12 = 0, -5*m = -3*m + 2*p - 14. What is the remainder when 34 is divided by m?
4
Suppose 4 + 4 = d. Calculate the remainder when 30 is divided by d.
6
Suppose 2*w + 4 - 28 = 0. What is the remainder when 29 is divided by w?
5
Let w(j) = 15*j - 8. Let q be w(-9). Calculate the remainder when (-26)/q - (-625)/11 is divided by 20.
17
Suppose -4*x - x = -20. Let b be 8 + -8 - x*4. Let j = 25 + b. Calculate the remainder when j is divided by 4.
1
Suppose -3*y = -c + 5*c - 29, 4*c - y = 33. Let m = 12 + -4. Calculate the remainder when 12*(-2 + 30/c) is divided by m.
5
Suppose 5*k = 2*g + 85, 3*k + 1 - 61 = 3*g. Let s(n) = n**3 + 5*n**2 - 5*n + 12. Calculate the remainder when k is divided by s(-6).
3
Let s = -4 + 18. Let l = s + -5. Calculate the remainder when 17 is divided by l.
8
Let t(z) = z**3 + 14*z**2 + 16*z - 17. Suppose 0 = -13*u + 15*u - 40. What is the remainder when t(-12) is divided by u?
19
Suppose -t - 4*t + 2*c = -74, 3*t - c - 44 = 0. Let x = -11 - -16. Calculate the remainder when x - 2 - 1*-37 is divided by t.
12
Let b(q) = -q**3 + 5*q**2 - q - 4. Let s be (4/3)/(1/(-6)). Let l = -5 - s. Calculate the remainder when b(l) is divided by 6.
5
Let z = 60 + -56. Let j = -9 - -24. Calculate the remainder when j is divided by z.
3
Let r(d) = 4*d**2 - d. Let s(z) = -4*z - 3. Let g be s(9). Let i be 1/4 - g/(-12). What is the remainder when r(i) is divided by 14?
