alculate the remainder when 20 is divided by a.
9
Let o be (-32)/(-6) + (-6)/(-9). Suppose -5*l + 2*l = o. What is the remainder when 1420/50 + l/5 is divided by 15?
13
Suppose 6*q - 44 = 82. What is the remainder when 69 is divided by q?
6
Suppose -12 = -6*o + 6. What is the remainder when 11 is divided by o?
2
Suppose 2*j + 2*m = 4*j + 84, 0 = -3*m - 6. Suppose 4*g - 391 = -5*v, -g = -v - 0*g + 71. Let a = v + j. Calculate the remainder when a is divided by 11.
9
Let w be 3 - (-2)/(-6)*3. Let f = 14 - w. Suppose f = 2*s - 18. Calculate the remainder when 28 is divided by s.
13
Suppose -k + 12 - 40 = 0. What is the remainder when 16 is divided by (-7)/(k/8) - -4?
4
Let x(m) = -m**3 + 12*m**2 - 10*m - 11. Let o be x(11). Suppose o = -c - 2*c + 6. What is the remainder when c is divided by 1?
0
Suppose 5*j = 1 + 24. Let x(i) = 4*i**3 - 3*i**3 + 2*i + 4 - 5*i - 3*i**2. What is the remainder when x(4) is divided by j?
3
Let n(q) = 4*q - 17. What is the remainder when ((-6)/(-9))/(1/138) is divided by n(9)?
16
Let q = -4 - -3. Calculate the remainder when 17 is divided by -3 + 8 - (q + 1).
2
Suppose 2*i = -3*k + 6, -k = i - 2*k - 8. Let n(o) = -9*o - 2. Suppose 3*v + 6 = -0. What is the remainder when n(v) is divided by i?
4
Let g(f) = f**2 + 6*f + 8. Let a be g(-6). Suppose -3*r + a = -r. What is the remainder when 10 is divided by r?
2
Let u(s) = s**3 + s**2 + s - 1. Let a be u(1). Suppose a*k - 23 = k. Calculate the remainder when k is divided by 13.
10
Let x = 6 + -1. Suppose 5*r - 2*r - 12 = 0. What is the remainder when -4*(-2)/4*r is divided by x?
3
Suppose -22 = -2*a - 0. Calculate the remainder when (34 - -2) + -3 + -3 is divided by a.
8
Calculate the remainder when 62 - -3 - (-4 + 4) is divided by 22.
21
Calculate the remainder when 75 is divided by 3*(-316)/(-84) + (-4)/14.
9
Let f(p) = -90*p - 3. Calculate the remainder when f(-1) is divided by 15.
12
Let d(a) = a**3 + 17*a**2 - 18*a + 15. What is the remainder when d(-18) is divided by 6?
3
Let w(m) = m + 1. Let y(h) = h**2 - 10*h - 6. Let k(u) = -3*w(u) - y(u). Calculate the remainder when 22 is divided by k(6).
4
Let z(v) = 2*v**3 + 7*v**2 + 6*v - 4. Let p be z(-3). Let j be (-5 - 1)/(1 - 0). Let d = j - p. Calculate the remainder when 20 is divided by d.
6
Let z be (-15)/2*2/(-3). Suppose a = -5*u - 0*a + 27, 4*a - 33 = -z*u. What is the remainder when 13 is divided by u?
3
Let a(d) = -3*d + 8. Let n(z) = 4*z - 9. Let y(i) = -7*a(i) - 6*n(i). Suppose 0 = 2*f + 3*f - 150. What is the remainder when f is divided by y(-6)?
14
Let w(k) = k + 10. Let d be w(-8). Suppose -d*z + 4*z = -5*v + 34, 2*z - 5*v = 74. Calculate the remainder when 53 is divided by z.
26
Calculate the remainder when 44 is divided by 2*9 + (-22)/11.
12
Suppose 4*j = 3*j + 4. Suppose 0 = w - j, -53 = -5*m + w + 18. Let o(x) = x**2 - 2*x + 4. What is the remainder when o(6) is divided by m?
13
Let r = 8 - 4. Suppose 0 = r*f - 0 + 4. Let h(u) = -21*u + 1. Calculate the remainder when h(f) is divided by 12.
10
Suppose -49 = -13*x + 172. What is the remainder when x is divided by 10?
7
Suppose -3*c = u - 132 + 5, 4*u = -8. Suppose 14*i - 12*i = 46. Calculate the remainder when c is divided by i.
20
Let d = -13 + -2. Let t = 11 + d. Let c(y) = -y**3 - 4*y**2 - 2*y - 5. Calculate the remainder when 7 is divided by c(t).
1
Let f be 2/((-4)/(-2)) - 0. Let n be (-285)/(-9) + 2/6. Calculate the remainder when n + (-6)/3 + f is divided by 11.
9
Suppose -3*f = -5*h + 42, 0 = h + f - 5*f - 22. What is the remainder when 10 is divided by h*3/(-21)*-7?
4
Let f(c) = -c**2 - 11*c + 6. What is the remainder when 16 is divided by f(-11)?
4
Suppose -4*c = -12 - 28. What is the remainder when 38 is divided by c?
8
Calculate the remainder when 37 is divided by ((-4)/(-24)*56)/((-4)/(-6)).
9
Suppose 5*w + 17 = 2*b + 2*b, b - w - 4 = 0. Suppose s = 6*s + 10. Calculate the remainder when -10*(15/(-6) - s) is divided by b.
2
Let h(x) = -x**2 + x + 10. Calculate the remainder when 5 is divided by h(3).
1
Suppose l - 3*y = y + 12, 0 = 2*y + 8. Calculate the remainder when 2 is divided by l*(3/(-6) - 0).
0
Let i be (-8)/44 - (-876)/(-22). Let x = i + 72. Suppose q = -1 + 12. What is the remainder when x is divided by q?
10
Let w = -2 + 12. What is the remainder when (-7)/14*846/(-9) is divided by w?
7
Let g(c) = -c + 10. Suppose 3*r - 5*z - 8 = 0, 3*z - 6*z = -15. What is the remainder when r is divided by g(6)?
3
Calculate the remainder when 10 is divided by ((-4)/(-4))/(2/8).
2
Let l(o) = o + 1. Suppose -c = -54 + 39. What is the remainder when c is divided by l(7)?
7
Let n(l) = 41*l**2 + 11*l - 9. Let p(r) = -4*r - 20*r**2 - r + 0*r + 4 + 0*r. Let s(k) = -4*n(k) - 9*p(k). Calculate the remainder when 57 is divided by s(-1).
12
Let a(b) = b**3 - 4*b**2 + 2*b - 6. Let i be 1/(-4) - 102/(-24). Suppose 0 = 8*j - i*j - 8. Calculate the remainder when a(4) is divided by j.
0
Let h(y) be the third derivative of -y**6/120 + 7*y**5/60 + y**4/8 + 2*y**3/3 + 3*y**2. Calculate the remainder when 48 is divided by h(7).
23
Suppose 2*n = 5*n. Suppose 3*q - 4*v - 9 - 19 = 0, n = q - 2*v - 12. Suppose -q*a + 36 = -24. What is the remainder when 43 is divided by a?
13
Let u = -15 + 14. Let n(i) = -22*i**3 + i**2 + i. What is the remainder when n(u) is divided by 6?
4
Let g be 5 + -2 + (-1)/(-1). Let m = -1 + g. What is the remainder when 10 is divided by -8*m/(0 + -6)?
2
Suppose 2*y + 3*h - 79 = 0, y - 2*h - 92 + 35 = 0. Suppose 2*r + r - 48 = 0. What is the remainder when y is divided by r?
15
Let d = -27 - -53. Suppose 3 = 4*h - 3*p, -3 - 1 = -2*h + 4*p. Suppose 2*o = -h*o + 18. Calculate the remainder when d is divided by o.
8
Suppose 8*a + 120 = 13*a. Calculate the remainder when a is divided by 3.
0
Let m(j) = -2*j**3 + j**3 - 2 - 6*j**2 + 2*j**2 - 6*j. What is the remainder when 43 is divided by m(-4)?
21
Let m(d) = -d**2 + 14*d - 13. What is the remainder when 190 is divided by m(9)?
30
Let d(m) = -m**3 + 8*m**2 + 2*m - 16. Calculate the remainder when 131 is divided by d(6).
63
Suppose 3*m - 19 = f - 3*f, -m = 4*f - 53. Suppose -5*q + 3*q + 5*r + 72 = 0, -4*r = -4*q + 156. Calculate the remainder when q is divided by f.
13
Let t = 55 - 33. Suppose -4*u + 3 = 3*g, 0 = -u - 4*u + g + 18. Calculate the remainder when t is divided by 9/(-2)*(-8)/u.
10
Let c = 23 - 13. What is the remainder when 39 is divided by c?
9
Let t(f) = f**3 - 9*f**2 + 8*f + 3. Let j be t(8). Let s = j + 0. What is the remainder when 26 is divided by -1 + 2 - (s + -11)?
8
Suppose 3*b = b. Suppose -5*r - 5*u - 3 - 2 = b, 0 = -4*r - 3*u. Suppose 0 = r*i + 5*j - 52, -3*i + 37 = j + j. Calculate the remainder when 17 is divided by i.
8
Suppose 0 = -5*l + 10*l - 210. What is the remainder when l is divided by 11?
9
Suppose -10*y = -6*y - 20. What is the remainder when 24 is divided by y?
4
Let p be (-6)/4*8/12. Let h = p + 14. Calculate the remainder when 38 is divided by h.
12
Let w = -35 - -43. Calculate the remainder when 30 is divided by w.
6
Calculate the remainder when (7 - 6)/(1/23) is divided by (8/(-6))/(2/(-12)).
7
Let d(o) = -1 - 32*o + 32*o + 55*o**2 + 0. What is the remainder when d(1) is divided by 14?
12
Suppose 0 = -p - p - 4, 139 = 5*k - 2*p. What is the remainder when 53 is divided by k?
26
Suppose 3*r - 6 = -r - 2*i, i = r - 9. Suppose 2*d - 16 = -t - d, 4*d - 16 = 0. What is the remainder when r is divided by (-10)/t*8/(-10)?
0
Let p(c) = -c**3 - 5*c**2. Let y be p(-5). Suppose y*s - s = -45. What is the remainder when s is divided by 16?
13
Suppose 3*f = -3, 5*o - 41 = 2*f + 66. Calculate the remainder when 76 is divided by o.
13
Suppose -2*j = h - 17, 6*h - 23 = -2*j + 3*h. Suppose 0 = t - 7 - 12. Calculate the remainder when t is divided by j.
5
Let z be (-8)/(-2) - (0 + 4). Calculate the remainder when (3 + -2 + z)*45 is divided by 12.
9
Let g(w) = 4*w**2 - w + 1. Let y be g(1). Suppose 0 = -3*u - y*d + 4, -12 = 5*u - d - 57. What is the remainder when u is divided by 3?
2
Suppose 5*b - 220 = -5*d, -2*b + 2*d - 180 = -6*b. What is the remainder when b is divided by 7?
4
Let h = 43 + -36. What is the remainder when 32 is divided by h?
4
Let m be ((-4)/14)/((-1)/7). Let r(y) = y**3 - y**2 + y - 1. Calculate the remainder when 13 is divided by r(m).
3
Suppose -