emainder when 20 is divided by m?
4
Suppose -9*h + 17*h - 216 = 0. Calculate the remainder when 49 is divided by h.
22
Suppose -3*m + 10 = -m. What is the remainder when 29 is divided by m?
4
Suppose -5*c = 11 - 91. Suppose 6 = -5*j + c. Suppose -j*b = -5*d - 127 + 16, 0 = -3*b - 3*d + 156. What is the remainder when b is divided by 14?
11
Let s(r) = 1 + 3*r - 4*r + 0*r. Let j(h) = -h + 24. What is the remainder when j(12) is divided by s(-6)?
5
Let w = 21 + -14. Let q(r) = r**2 - 10*r - 3. Let m be q(w). Calculate the remainder when (-3)/(-1 - 15/m) is divided by 5.
3
Suppose -t - t + 10 = 0. Calculate the remainder when 2 + 15 + 6/(-2) is divided by t.
4
Suppose 0 = -0*j + 3*j - 153. Let z = 24 - 11. What is the remainder when j is divided by z?
12
Suppose -5*a - 57 = h + h, -2*a + 128 = -5*h. Let l = 36 + h. Calculate the remainder when 18 is divided by l.
8
Suppose -16 + 111 = 5*c. What is the remainder when 75 is divided by c?
18
Suppose -4*g - 3*l + 13 = -8*l, 3*g - 2 = -4*l. What is the remainder when 47 is divided by g/(-1) - (-3 + -15)?
15
Let t be (-525)/(-9) + (-1)/3. Let x = t - 37. Let p(u) = 3*u - 18. What is the remainder when x is divided by p(8)?
3
Suppose 0 = 3*g + 2*g - 95. Calculate the remainder when 75 is divided by g.
18
Let k = 56 - 18. Calculate the remainder when k is divided by 20.
18
Suppose -84 = -5*v + 2*u, -44 = 4*v - 7*v - 2*u. Let g(l) = 8*l**2 + 3*l + 2. Let d be g(-2). Let m = d + 3. What is the remainder when m is divided by v?
15
Let k(p) = -39*p - 5. What is the remainder when 201 is divided by k(-1)?
31
Let o(n) = -5*n - 1. Suppose 0 = -0*t - 3*t - 4*u + 17, -t - 5*u = -24. What is the remainder when 11 is divided by o(t)?
3
Suppose -5*c + 4 = -3*c. Suppose -36 = -4*f - c*k, 6*f - f + 4*k = 51. Calculate the remainder when (-27)/(-2) + (-1)/2 is divided by f.
6
Let d(o) = 2*o**2 + 5*o + 3. Calculate the remainder when d(-3) is divided by 1.
0
Calculate the remainder when (-465)/(-5) + (-3 - 1) is divided by 30.
29
Let n(t) = 3*t**2 - 75*t + 41. Suppose 2*p = -2*p + 56. Calculate the remainder when n(25) is divided by p.
13
Suppose d - 109 = -100. Let v(c) be the second derivative of -c**3/2 - 2*c**2 - c. Calculate the remainder when d is divided by v(-3).
4
Suppose -402 = -5*a - 127. What is the remainder when a is divided by 29?
26
Let c = -1 - -77. What is the remainder when c is divided by 11?
10
Suppose -r + 7 = -2*v - 6, -5*r + 5*v = -50. Calculate the remainder when 39 is divided by r.
4
Let y(i) = 18*i**2 + 3*i - 3. Let b(c) = c - 1. Let l(a) = -3*b(a) + y(a). What is the remainder when l(-1) is divided by 5?
3
Suppose h - 31 = -c, 2*c + 5*h - 8*h = 37. Calculate the remainder when 73 is divided by c.
21
Let p(f) = -5*f**3 + f**2 + 2*f + 1. Let n be 2/7 - 27/21. Suppose 6 = 3*x - 21. What is the remainder when x is divided by p(n)?
4
Suppose -4*g = -2*z + 4 - 18, -2*z - 8 = -g. What is the remainder when 11 is divided by g?
1
What is the remainder when (-207)/(-12)*(1 - (-20)/12) is divided by 25?
21
Let a = 5 + -3. Suppose 12 = a*w + w. What is the remainder when 10 is divided by w?
2
Let g(p) = 2*p - 4. Let m be g(5). What is the remainder when 17 is divided by ((-6)/(-7))/(m/42)?
5
Let b = 123 + -86. Let z = 48 - 38. Calculate the remainder when b is divided by z.
7
Let f(b) = -2*b - 17. Let a(x) = -x + 13. Suppose 0*w - w = -2*c + 4, -5*c + 3*w = -12. What is the remainder when a(c) is divided by f(-12)?
6
Suppose -7*o = -3*o - 8. Calculate the remainder when o is divided by 2.
0
Let s = 100 + -56. Suppose -n + 13 = -10. What is the remainder when s is divided by n?
21
Suppose 5*h = 4*r - 193, -2*h - 2*h - 20 = 0. Let m = 99 - r. Calculate the remainder when (1 - (-3)/(-9))*m is divided by 10.
8
Let v = -20 - -43. What is the remainder when 45 is divided by v?
22
Let k = 49 - 39. What is the remainder when k is divided by 6?
4
Suppose -230 = 249*b - 259*b. Let x = 5 + 9. Let m = x + 31. Calculate the remainder when m is divided by b.
22
Let m = -15 + 38. Calculate the remainder when 41 is divided by m.
18
Suppose 4*q = -q + 85. Calculate the remainder when 31 is divided by q.
14
Calculate the remainder when 4/(-6)*3 - -46 is divided by 15.
14
Let i = 9 + 0. What is the remainder when 2415/115 - (6 + -1) is divided by i?
7
Suppose -4*y + 5*s + 51 - 4 = 0, -3*s + 16 = y. What is the remainder when y is divided by 9?
4
Let n = 19 - 16. Calculate the remainder when 4 is divided by n.
1
Let c be (-36)/21*(4 - -3). What is the remainder when (-228)/(-16) + 3/c is divided by 3?
2
Suppose 84*z + 115 = 89*z. What is the remainder when 66 is divided by z?
20
Let x(k) = -k**3 + 8*k**2 - 9*k + 2. Calculate the remainder when x(6) is divided by 11.
9
Let n(u) = u**3 + 18*u**2 - 41*u - 2. Calculate the remainder when n(-20) is divided by 5.
3
Let f be -5*1/1 - 1. Calculate the remainder when 47 is divided by 4*-6*4/f.
15
Let u be 2*(0 + -1 + 3). Suppose -4*d + 2*n + 78 = -12, 18 = d + u*n. Calculate the remainder when 43 is divided by d.
21
Suppose -5*c - 4*q + 82 = 0, -2*q + 5 = -1. What is the remainder when c is divided by 8?
6
Let p(r) = r**2 - 8*r - 31. What is the remainder when 66 is divided by p(13)?
32
Let s be 1 + 26 + 6/(-3). Suppose 3*d + 2*v = 53, -3*d + 9*v - 4*v + s = 0. Calculate the remainder when 29 is divided by d.
14
Calculate the remainder when 570/4 - 11/22 is divided by 9.
7
Suppose -2 - 4 = -2*w. Suppose 0 = -2*r + 4*s + 38, -2 = w*s + 4. Calculate the remainder when r is divided by 9.
6
Suppose -3*l - 51 = -5*q + l, -5*q + l = -39. What is the remainder when q is divided by 5?
2
Let p(z) = 9*z - 1 - 2*z**2 + z**2 - 9. Let r be p(7). Suppose i + 3*j = -2, i = -i + 2*j + r. What is the remainder when 2 is divided by i?
0
Suppose -3*o - 15 = 5*b + 40, 2*b + 60 = -5*o. Let l = 141 - 100. What is the remainder when l is divided by (-5)/5*(-1 + o)?
8
Suppose 72 + 60 = 11*l. What is the remainder when 44 is divided by l?
8
Suppose -3 = -5*c + 5*t + 2, -5*c + 29 = 3*t. Suppose -c*z + 12 = -12. Calculate the remainder when 11 is divided by z.
5
Let c(m) = -m**2 - m. Let k(t) = -6*t**2 - 4. Let w(h) = -5*c(h) + k(h). Let y be w(3). Calculate the remainder when (26/(-2))/(y/(-2)) is divided by 5.
3
Let k = 18 - 8. Let z = 10 + -6. Calculate the remainder when k is divided by z.
2
Let w be 0 + (3 + -4 - -85). Suppose -4*d - f = -w, f + 63 = 3*d + 6*f. Let k(q) = 2*q**2 - 4*q + 2. What is the remainder when d is divided by k(3)?
5
Let r(q) = -5*q - 41. What is the remainder when 119 is divided by r(-13)?
23
Let a be (1 - 0) + (-3 - -2). Suppose a*m - 55 = -5*m. Calculate the remainder when 21 is divided by m.
10
Let q = -5 + 7. Let m(w) = w**3 + 2*w**2 - 2. Calculate the remainder when 26 is divided by m(q).
12
Suppose 5*u + 207 = -0*x + 3*x, 4*x = 3*u + 276. Suppose -k - 4*s - 9 - 13 = 0, -4 = -2*s. Let h = 48 + k. Calculate the remainder when x is divided by h.
15
Suppose s = -5*u + 3 + 10, -3*s + 3*u + 39 = 0. What is the remainder when s is divided by 3?
1
Suppose 0*n = -3*n + 6. Suppose n*j = -1 + 11. Suppose -r - 8 = -5*f, 0*r + 20 = 5*f - j*r. Calculate the remainder when f is divided by 1.
0
Let y = -2 + 19. Suppose 3*s = 8*s + 135. Let f = -18 - s. What is the remainder when y is divided by f?
8
Suppose -5*a - 2*s + 0*s + 14 = 0, -a + 13 = -3*s. Suppose 0 = -a*u + 9 + 91. What is the remainder when u is divided by 7?
4
Suppose 4*l - 391 + 79 = 0. Suppose 5*v = 4*v + l. Suppose 3*c = 6*c - v. What is the remainder when c is divided by 14?
12
Let q(z) = 42*z**2 - 2*z + 1. Suppose 0*i - 2*g = -5*i - 5, -3*g = 4*i - 19. What is the remainder when q(i) is divided by 21?
20
Let d = -83 + 149. Suppose -d = -4*i + 2*l, l - 20 = -3*i + 27. What is the remainder when 3 is divided by i/6 + 2/(-3)?
1
Let j = -38 + 43. Calculate the remainder when 19 is divided by j.
4
Let x = -139 - -152. Calculate the remainder when 116 is divided by x.
12
Suppose 3*o + 18 = i - 0*i, 0 = 3*i + 4*o - 15. Calculate the remainder when 60 is divided by i.
6
Let d = 36 - -6. Suppose 0*a - 2*a = -110. Calculate the remainder when a is divided by (d/4)/(12/16).
13
Let j = -28 - -54. Suppose 3*c = -3*n + 27, 2*c - j = -2*n - 2*c. What is the remainder when n is divided by (-4)/(-3)*(-6)/(-4)?
1
Let h = -38 + 65. Calcu