is the remainder when 259/(-35) + 7 - (-332)/5 is divided by 23?
20
Let l(p) = 13*p + 20. Let g be (-13 - -12)/(1/(-10)). Let f be l(g). Suppose f = -0*y + 3*y. What is the remainder when y is divided by 17?
16
Let w = -6 - 15. Let g = -13 + 12. What is the remainder when 62 is divided by w/4*4/g?
20
Let g(u) = u**2 - 11*u - 18. Let z(r) = 5*r**3 - 2*r**2 - 2. Let d be (-7)/(-28) + 14/8. What is the remainder when z(d) is divided by g(13)?
6
Let a(i) = -15*i - 3. Suppose 47*l - 201*l + 59*l = -1710. What is the remainder when a(-2) is divided by l?
9
Let b = 34 - 23. Let o = 8 - b. Let h = o + 25. What is the remainder when h is divided by 8?
6
Suppose -34*m = -25*m - 1233. Calculate the remainder when m is divided by 5.
2
Suppose 40*g - 1732 = 36*g. Suppose 6*m = g + 419. What is the remainder when m is divided by 12?
10
Let b = 121 + -106. Let v(g) = 2*g**2 - 9*g + 3. Calculate the remainder when v(7) is divided by b.
8
Let n be 9/21 - (-64)/14. Calculate the remainder when 9 is divided by 4/(-6)*(-11 + n).
1
Let l = -12 - -14. Let h be l/(3 - (-6)/(-3)). Suppose 2*v - h*z - 46 = 0, -2*v + 52 = -4*z + 14. What is the remainder when v is divided by 7?
6
Let k(h) = h**3 - h + 5. Let p be k(0). Suppose m - p = 27. What is the remainder when (-7)/(-7)*(94 - 1) is divided by m?
29
Let k(t) = -t**3 + 7*t**2 - 3*t - 2. Let p be k(3). Let u = 113 - p. Let b = u - -41. What is the remainder when b is divided by 33?
30
Let c = -2012 - -2049. What is the remainder when 161 is divided by c?
13
Let n(z) = -z**2 + 16*z + 174. What is the remainder when n(16) is divided by 39?
18
Suppose 41*u - 46*u = -165. Calculate the remainder when u is divided by 20.
13
Let r(y) = 13 + 4*y - 2*y + 1. Calculate the remainder when 52 is divided by r(0).
10
Let c(o) = 1 - 3*o**3 + 2*o**3 + 8*o**2 + 2. Let a be c(8). Suppose a*f - 81 = 3*k, 2*k + 111 = 5*f + 3*k. Calculate the remainder when f is divided by 12.
11
Suppose 16 = 3*l - 2*h - 32, -45 = -3*l + 3*h. Suppose -4*f + 28 = 4*a, -4*f + 3 - 5 = -a. Calculate the remainder when (-2)/a + 471/9 is divided by l.
16
Let n(j) = -4*j. Let z be n(-1). What is the remainder when (5 - 8/z) + 42 is divided by 12?
9
Let k(n) = 5 + 40 - n**3 - 47*n + 46*n. Suppose -9 = 3*g - x - 42, 3*g + 4*x = 48. What is the remainder when k(0) is divided by g?
9
Let q(u) = 5*u + 28. Let y be q(20). Suppose y = 3*k - 259. Calculate the remainder when k is divided by 33.
30
Suppose -3*d + 4*d = 0. Suppose 0*q - 4*q + 1612 = 4*i, d = 5*q + 2*i - 2000. Suppose q = 5*t + 163. What is the remainder when t is divided by 10?
7
Suppose 7*h + 31 = 1494. What is the remainder when h is divided by 42?
41
Let p(g) be the first derivative of 7*g**4/4 + g**3 - 5*g**2/2 - g + 21. What is the remainder when 111 is divided by p(2)?
54
Calculate the remainder when 76 is divided by (-6)/(-51) - (-4)/((-408)/(-3966)).
37
Let q = 36 - 36. Suppose 2 = 2*u - 3*f - 11, q = -4*f + 20. Calculate the remainder when u is divided by 5.
4
Let l = -734 + 895. What is the remainder when l is divided by 59?
43
Suppose -11*p = 2*t - 9*p - 70, -4*p = 0. Calculate the remainder when t is divided by 21 + -3 + 1 + -1.
17
Suppose -4*w - i = -539, -w - 2*i + 118 = -22. Let p = w - 127. Calculate the remainder when p is divided by 2.
1
Let t be 3/2 + (-12)/(-8). Suppose -t*r = 4*r. Let n(h) = -h + 5. What is the remainder when 28 is divided by n(r)?
3
Let l = -144 + 626. Calculate the remainder when l is divided by 22.
20
Let x(k) = k**3 + 7*k**2 + 5*k + 7. Calculate the remainder when (3 - 1)/(204/7752) is divided by x(-6).
11
Suppose -6 + 66 = 3*i. Suppose -8*f + 42 = -54. What is the remainder when i is divided by f?
8
Let h(i) = i**2 - 3*i + 18. Let w be h(6). Suppose -5*o + 2*o - 63 = 0. What is the remainder when 21 is divided by w/o*14/(-4)?
3
Let y = -4 - 26. Let q = y + 38. What is the remainder when 38 is divided by q?
6
Suppose -c + 1 = 0, -3*c + 6*c = 3*t - 72. Let i = t + 15. Calculate the remainder when i is divided by 15.
10
Let t(g) = -7*g**3 - 4*g**2 - 3*g + 1. Calculate the remainder when 135 is divided by t(-2).
41
Let k(d) = 6*d - 2. Let j be k(3). Let s = j + 21. Calculate the remainder when s is divided by 13.
11
What is the remainder when (-8)/20 - (482/(-5) + -1) is divided by 7?
6
Let r be (-99)/(-2) - 1/2. Let u be (-6 - (-10 + 4))*-1. Suppose u = -5*z + 6 + r. Calculate the remainder when 30 is divided by z.
8
Let l(c) = -c**2 - 37*c - 61. Calculate the remainder when (-110)/(-30)*(0 - -12) is divided by l(-35).
8
Let j(a) = 10*a + 681. Suppose -7 = 4*f - 51. Calculate the remainder when j(-64) is divided by f.
8
Suppose 2*o - 4*f - 25 = -3*f, -o - 4*f = -26. Calculate the remainder when 109 is divided by o.
11
Let o = 6 - 4. Suppose o*a = a - 10. Let r = 14 + a. What is the remainder when 5 is divided by r?
1
Let a(n) = 114*n - 8. Suppose 2*i = -4*s + 214, -3*s + 3*i - 100 = -283. Calculate the remainder when a(2) is divided by s.
52
Let c(n) = 2*n**2 - n + 8. What is the remainder when c(-3) is divided by 16?
13
Let w(r) = 42*r + 1. Let v be w(9). What is the remainder when 9/(-54) - v/(-6) is divided by (-2)/(-4)*0 - -22?
19
Let d(o) = o**3 + 3*o**2 + 3*o + 5. Let n be d(-2). Suppose -n*p = -3*m, -4*m - 2*p = -p - 25. What is the remainder when 13 is divided by m?
3
Let c = -133 + 169. Calculate the remainder when c is divided by 26.
10
Suppose 27*n - 53 + 26 = 0. What is the remainder when 49 is divided by n?
0
Let s = 1158 + -1127. What is the remainder when 118 is divided by s?
25
Suppose -2*h + 221 = 11*h. What is the remainder when 196 is divided by h?
9
Suppose 6*t + 436 = 2*t. Let u = t - -200. What is the remainder when u is divided by 31?
29
Let l = -7 - -21. Suppose -4*r + 41 = -3*r. Calculate the remainder when r is divided by l.
13
Suppose 0 = 5*g + 4*t - 201, 5*g - 2*t - 149 = 28. Calculate the remainder when 157 is divided by g.
9
Let v = 45 - -42. Let c = v + -42. Calculate the remainder when c is divided by 12.
9
Let a be (-3)/(-3)*0/(-1). Let w(k) = a*k**2 + 2 - k**2 + 7*k**3 + k - 4 + 1. What is the remainder when 9 is divided by w(1)?
3
Suppose 578 = 4*m - 2*z, -15*z = -2*m - 10*z + 301. Calculate the remainder when m is divided by 37.
32
Suppose 5*t + 885 = 5*w, 4*w - 5*t - 683 = -6*t. Calculate the remainder when w is divided by 87.
85
What is the remainder when 1485/35 + 8/14 is divided by 15?
13
Suppose 0 = u - t + 3*t - 7, 0 = 4*u + 3*t - 23. Suppose u*r = 391 + 109. What is the remainder when r is divided by 34?
32
Suppose 13*x = 9*x. Suppose x*a + 5*a = 15. Suppose 2*v = -i + 36, i = a*v - 2*i - 45. Calculate the remainder when 49 is divided by v.
15
Suppose 0 = 60*h - 36*h - 456. Suppose 2*f - 175 = -3*f. What is the remainder when f is divided by h?
16
Suppose 42 = 4*l - 26. Suppose 0 = -4*c - 12, -c - 3*c = -n + l. Calculate the remainder when 17 is divided by n.
2
Let x = -20 + 18. Let n be x/(-6) - (-766)/6. Suppose -3*a = -2*q - 2*a + 236, -3*a - n = -q. Calculate the remainder when q is divided by 17.
14
Let b = -372 - -379. What is the remainder when 23 is divided by b?
2
Suppose -11*b + 14*b + g - 90 = 0, 3*b + 4*g - 81 = 0. What is the remainder when 118 is divided by b?
25
Calculate the remainder when 0 + 8/10 - (-1888)/40 is divided by 20.
8
Let t(z) = 3*z - 1 - 16*z + 9*z. Let g be t(-1). Suppose 0 = -2*u - 0*u + 4*o + 8, g*o = 9. What is the remainder when 19 is divided by u?
9
Suppose -5*z + 2*z = 0. Suppose z*q = -4*q + 164. Suppose -66 = -8*n + 5*n. What is the remainder when q is divided by n?
19
Let i be 3 - (6/(-3))/2. Suppose 2*o - i*o = -14. Suppose 77 = 4*f - 23. Calculate the remainder when f is divided by o.
4
Let r(z) = -8*z + z - 9*z**2 + 2 + 9 + z**2 - z**3. Calculate the remainder when r(-7) is divided by 8.
3
Calculate the remainder when -1*(-63 + 0 + -4) is divided by 34.
33
Suppose -23*i = -22*i - 110. What is the remainder when i is divided by 37?
36
Let u = -373 - -462. Suppose -11 = -f + 3*p, 0*f - f - 5*p = -43. Calculate the remainder when u is divided by f.
20
Let o(c) = 47*c**2 + c. Let g = -23 + 24. Calculate the remainder when o(g) is divided by 17.
14
Let k(r) = r**3 - 4*r**2 - r + 2. Let i be k(4). Let x be (1/(-1))/(-2 - 99/(-51)). Let f = x + i. Calculate the remainder when 29 is 