mainder when 123 is divided by a?
39
Suppose -14 = -6*n + 4. Suppose n*h - 18 = 69. What is the remainder when h is divided by 10?
9
Suppose 2*v = -0*v + 26. Calculate the remainder when v is divided by 5.
3
Calculate the remainder when (8 + -3)*((-44)/(-20) + -1) is divided by 2.
0
Calculate the remainder when 57 is divided by ((-28)/3 + 8)/(4/(-102)).
23
Let p = 57 - 53. Suppose -p*z + 92 = 32. What is the remainder when 46 is divided by z?
1
Let u = -149 - -250. Let q = u - 40. What is the remainder when q is divided by 16?
13
Let c = 39 - 30. Suppose -4*q - l = 259, -2*q = 5*l + 87 + 56. Let v = 90 + q. What is the remainder when v is divided by c?
8
Let q(s) be the first derivative of s**4/4 + s**2/2 + 63*s - 412. Let v be 2 - 1/(-1)*-2. What is the remainder when q(v) is divided by 13?
11
Let r(g) = -3*g + 9. Let p be r(4). Let h(s) = -s**3 - 4*s**2 - 6*s - 3. What is the remainder when 15 is divided by h(p)?
3
Let j(f) = -2*f**3 - 2*f**2 + f - 6. Let a be j(-3). Let o = 32 - a. Let r(w) = w**2 - 14*w + 4. What is the remainder when o is divided by r(14)?
1
What is the remainder when -716*(24/32 - 1) is divided by 9?
8
Suppose -m = 20 - 62. Let y = 34 - 8. Calculate the remainder when m is divided by 6/(-39) - (-290)/y.
9
Suppose -2*b = -0*b - 600. Suppose -4*x = 2*x - b. Calculate the remainder when x is divided by 13.
11
Let v(t) = 9*t**2 + 2*t - 2. Suppose b - 2 = 0, o + b = 2*b - 14. Calculate the remainder when v(-2) is divided by ((-22)/(-33))/((-1)/o).
6
Suppose p + 2 = 24. What is the remainder when p is divided by (-100)/(-12) - 1/3?
6
Let i(t) = t**3 + 11*t**2 + 2*t - 9. Calculate the remainder when i(-8) is divided by 89.
78
Let k be ((-11)/2 - 1)/((-2)/(-8)). Let g = k + 43. Calculate the remainder when 32 is divided by g.
15
Let k(v) = -v**2 + 7*v + 12. Let b be k(7). Let w = -7 + b. Suppose w*d = 4*d + 9. Calculate the remainder when 25 is divided by d.
7
Suppose 14*n = 5*n + 18. What is the remainder when 135 is divided by n?
1
Let w = -34 + 75. Calculate the remainder when w is divided by (-1 - 1*-9) + 0 + 3.
8
Let r = -88 - -177. Let n = 6277 + -6261. Calculate the remainder when r is divided by n.
9
Let g(m) = 385*m**2 - 15*m - 16. Calculate the remainder when g(-1) is divided by 55.
54
Suppose -5*k - 2*p + 5*p + 28 = 0, 5*p + 10 = k. Let i = k - -42. What is the remainder when i is divided by 12?
11
Let c(m) = 105*m + 436. Calculate the remainder when 716 is divided by c(-4).
12
Suppose 31 = 3*z - 4*y, 0 = 4*z - 3*z + 5*y + 15. Suppose -2*k + z + 37 = 0. What is the remainder when k is divided by 10?
1
Calculate the remainder when -47*(-4)/(-3)*-3 is divided by 65.
58
Suppose -v = 3*v - 488. Let i = -168 - -186. Calculate the remainder when v is divided by i.
14
Let j = 62 + -65. Let x(y) = -y**3 + 2*y**2 - 5*y - 2. Calculate the remainder when x(j) is divided by 1/(-4) + 244/16.
13
Suppose 5*m - 389 = 21. Let d = m - 35. Calculate the remainder when d is divided by 10 + (3 - 2/2).
11
Let k = -26 - -49. Let i = -1642 - -1708. Calculate the remainder when i is divided by k.
20
Suppose -5*a + 160 = 5*k, -5*k + 5*a - a = -187. What is the remainder when k is divided by 18?
17
Suppose -6*n + 3*n = -4*r - 298, -4*r - 300 = -2*n. What is the remainder when 24/16*r/(-3) is divided by 20?
18
Suppose 0 = 32*p + 5403 - 42619. What is the remainder when p is divided by 106?
103
Let r = 420 + 69. Suppose -2*x + r = 131. Calculate the remainder when x is divided by 14.
11
Suppose -3*x + 6*x + 6 = 0. Let k be -2*(-2 - x/(-4)). Suppose 3*p = -k*j + 22, -j - 49 = -5*p - 3. Calculate the remainder when 33 is divided by p.
6
Let i(p) = -3*p - 27. Let q be i(-14). Let u(t) = 2*t - 22. Let h(f) = f**3 + 9*f**2 - 5*f - 7. Calculate the remainder when h(-9) is divided by u(q).
6
Let o(r) = 2*r + 36. Let h be o(-16). Suppose -9 = -i - h*l, -2*i + 60 = 3*i + 5*l. Suppose 2*x - 8 = x. Calculate the remainder when i is divided by x.
5
Let j = 205 - 87. Calculate the remainder when j is divided by 8.
6
Suppose -19*o = 12*o - 1891. Calculate the remainder when 180 is divided by o.
58
Let z(s) = -s**3 - 4*s**2 - 3. Let n be (-1)/((-4)/(-128)) - -2. Let l = n - -25. Calculate the remainder when 86 is divided by z(l).
20
Suppose 128*o + 88 = 136*o. Calculate the remainder when 602 is divided by o.
8
Calculate the remainder when 13*(-4 + (-492)/(-78)) is divided by 12.
6
Let a(q) = -q**3 + 4*q**2 + 4*q - 3. Let g be a(-3). Suppose 3*m = -3*w + g, -10 = 5*w - 0*w. What is the remainder when 66 is divided by m?
12
Suppose -563*j + 669 = -560*j. What is the remainder when j is divided by 43?
8
Let a(s) = -s + 29. Let u be a(16). Suppose -u = -c + d - 1, 2*c + 2*d - 40 = 0. What is the remainder when 62 is divided by c?
14
Suppose 5*t + b - 6 = 4*b, 5*b + 10 = 3*t. Suppose -5*a + 3*a + 26 = t. Calculate the remainder when 50 is divided by a.
11
Let y(f) = -f**3 + f**2 + 4. Let b = 62 - 48. Suppose 4*t + 89 = 5*i + 19, -i + t + b = 0. What is the remainder when i is divided by y(0)?
2
Suppose -5*m + 6*m - 64 = 0. Calculate the remainder when 312 is divided by m.
56
Suppose -4*d = r - 252, 2*d - 16*r - 152 = -10*r. Calculate the remainder when d is divided by 57.
7
Suppose 0 = -18*q + 15*q + 42. Let h(p) = p**3 + 6*p**2 - 3*p - 34. Calculate the remainder when q is divided by h(-5).
2
Calculate the remainder when (2/6 - 1)/((-1)/51) is divided by 9.
7
Let o = -1883 + 2204. What is the remainder when o is divided by 65?
61
Let t(f) = 5*f**2 - 20*f + 21. Suppose 3*m - 4*s = 38, -48 - 10 = -5*m + 4*s. What is the remainder when t(4) is divided by m?
1
Suppose 5*y - 6*y + 11 = 0. Let h be (-1)/(-3 - (-19)/6). What is the remainder when (-86)/h*(-2 - -5) is divided by y?
10
Suppose 653 + 42 = 4*a + n, 5*a = 3*n + 873. Calculate the remainder when a is divided by 11.
9
Let q(a) = 7*a - 10 + 4*a**2 + a**3 - 9*a**2 + 2*a**2. Calculate the remainder when 135 is divided by q(4).
33
Suppose h + 18 - 24 = 0. Let v be (-2)/h + (-14)/(-6). Suppose 0 = -5*g + v + 8. What is the remainder when g is divided by 2?
0
Let n(a) = 3*a + 11. Suppose 2*h - 4*p = -3*h + 65, -22 = -3*h - p. What is the remainder when n(h) is divided by 5?
3
Suppose 5*u + a + 0*a = -3, u = -a - 3. Suppose -4*g - 16 = u, 0 = -4*b + 4*g - 9*g + 8. Let t = b + 11. What is the remainder when 53 is divided by t?
17
Let p(c) = 8*c - 10. Let l be p(3). Let r = l + 3. What is the remainder when r is divided by 5?
2
Suppose -2*u + 4*w + 378 = -w, 0 = 2*u - w - 378. Suppose -24*m = -17*m - u. Calculate the remainder when 52 is divided by m.
25
Let b(z) = 46*z**2 - 2*z - 1. Suppose -4*t + 2*a + 109 = 3*a, -t = 4*a - 31. What is the remainder when b(-1) is divided by t?
20
Let w be 810 + 2 + (-7 - -3). Suppose -o - 3*o = -w. Suppose 0 = 5*q - 5*k - 330, 62 + o = 4*q - 5*k. Calculate the remainder when q is divided by 17.
15
Suppose 27 + 27 = 2*z. Let s = z + 13. Let g = -27 + s. Calculate the remainder when g is divided by 7.
6
Let n be (-2 - 1) + 268*(-6)/(-12). Calculate the remainder when n + 0 + 0 + -1 is divided by 33.
31
Let m = -21 + 27. Suppose 4*b - m - 98 = 0. Calculate the remainder when b is divided by 14.
12
Let o = 19 + -47. Let n = o - -33. Suppose y + 36 = n*y. Calculate the remainder when y is divided by 5.
4
Calculate the remainder when 8054/12 + 518/(-84) + 7 is divided by 97.
90
Suppose 5*i + 52 = p - 17, -i - 3 = 0. What is the remainder when p is divided by 16?
6
Suppose u - 61 = 4*v, 6*v = -3*u + 45 + 102. Let h(b) = b**2 - b - 2. Calculate the remainder when u is divided by h(-5).
25
Let v(t) = -4*t - 4. Let l be v(-3). Suppose -4*h + 24 = 4*y, h - y - 54 = -4*h. What is the remainder when h is divided by ((-6)/4)/((-2)/l)?
4
Suppose 0 = -28*n + 27*n + 27. Let l = -1 + n. Calculate the remainder when 50 is divided by l.
24
Suppose 0 = 25*y - 62*y + 703. What is the remainder when 131 is divided by y?
17
Let p(s) = s**2 + 20*s + 2. Let t be p(-20). Suppose -5*w - 2*r + 60 = 0, 6*r + 10 = 3*w + t*r. What is the remainder when w is divided by 3?
1
Let a = 53 - 79. Let o = a - -37. What is the remainder when o is divided by 2?
1
Suppose 5*a + 59 = 3*w, w + 4*a = 2*w - 22. Let t = -247 - -354. Calculate the remainder when t is divided by w.
17
Let j(s) = -3*s - 22. Let f be j(-7). What i