216/5 + 9/(-45). Let o = i + 25. Calculate the remainder when o is divided by 35.
33
Let d be (-2)/(-2) - 105 - (-13 - -12). Let x = 7 - d. Calculate the remainder when x is divided by 16.
14
Let n(j) = j**2 - 15*j + 59. Let r be n(7). Let x be (-192)/5 + (-9)/15. What is the remainder when 24 is divided by (2/(-2))/(r/x)?
11
Let f be (-1292)/(-221) - 2/(-13). Suppose f = 9*o - 6*o. Calculate the remainder when 3 is divided by o.
1
Let l(v) be the first derivative of v**4/2 - 2*v**3/3 + 3*v**2/2 - 4*v + 5. What is the remainder when 38 is divided by l(2)?
8
Suppose -2*a + 4*l + 50 = 0, 41 = 4*a - 2*l - 41. Let n(i) = 11*i**2 + 3*i - 3. What is the remainder when n(-3) is divided by a?
11
Let r(q) = -14*q - 188. Let n be r(-10). Let y(j) = -6*j**2 - 2*j - 4. Let h be y(3). Calculate the remainder when (-161)/(-4) + n/h is divided by 21.
20
Suppose 3*a + 5*n - 4 + 2 = 0, -a = 2*n. Suppose 5*u - 5*s = -0*u + 60, 2*u = -a*s - 6. What is the remainder when 69 is divided by u?
6
Let z(u) = -u**2 - 9*u - 1. Let x be (-21)/3*(-12)/(-14). Calculate the remainder when z(x) is divided by 1/(3/(-2 + 17)).
2
Let v = -6 - -5. Suppose -4*o = -5*n - 112, -4*n - n = 20. What is the remainder when o is divided by v + -1 - (0 + -2 + -12)?
11
Suppose -18 = -12*y + 6*y. Suppose 3*h = 4*i - 164, 6*i - y*i - 5*h - 112 = 0. Calculate the remainder when i is divided by 2/(-4) - 19/(-2).
8
Suppose -5*g + 35*g = 1500. What is the remainder when 82 is divided by g?
32
Let f = 16 - 12. Let j(l) be the first derivative of -l**4/4 + 4*l**3/3 + 5*l**2/2 - 2*l + 1. Calculate the remainder when 51 is divided by j(f).
15
Let a(z) = 9*z**2 + 5*z - 11*z**2 + 3*z**2. What is the remainder when 35 is divided by a(-6)?
5
What is the remainder when (-6)/4*-22 + 1*3 is divided by 7?
1
Let v(r) = r**2 - r - 1. Let s = 5254 - 5178. What is the remainder when s is divided by v(-3)?
10
Let w(r) = 23*r**2 + 107*r - 23. What is the remainder when w(-9) is divided by 44?
41
Let h(o) = 11*o - 170. Let g(a) = -5*a - 2. Calculate the remainder when g(-6) is divided by h(16).
4
Let r(x) = 80*x**2 + x + 2. Let t be r(-1). Let m = 89 + t. Suppose -n = -0*d - 2*d + m, -3*d + 4*n = -250. What is the remainder when d is divided by 29?
28
Let o = 427 + -383. What is the remainder when o is divided by 8?
4
Suppose -3*z - h + 80 = -1, 3*h = 2*z - 65. Suppose 86*b = 64*b + 132. What is the remainder when z is divided by b?
4
Let h = 244 + -202. Calculate the remainder when h is divided by 15.
12
Let x(k) = -k + 6. Let h be (8/10)/(1 + 22/(-20)). What is the remainder when 54 is divided by x(h)?
12
Let t(u) = u - 4. Let c be t(4). Suppose 2*w - 11 - 19 = c. What is the remainder when w is divided by ((-1)/2)/((-6)/96)?
7
Suppose 0 = -3*r + 30. Calculate the remainder when 72 is divided by r.
2
Suppose 4*t - 253 = 5*z - 10, -3*z = 3*t - 216. What is the remainder when 126 is divided by t?
59
What is the remainder when 2253/21 - 3*2/21 is divided by 54?
53
Calculate the remainder when 572 is divided by (31 - 3) + -2 + (-12)/6.
20
Let w be ((-3)/(-2))/((-2)/(-4)). Let a be 4 - 8/(w - -1). Suppose -a*i + 8 = -10. Calculate the remainder when 50 is divided by i.
5
Let f = -32 - -45. Suppose -3*q - f = -4*q. Calculate the remainder when 36 is divided by q.
10
Let x be 18/5*120/(-18). Let j = 31 + x. Suppose j*i - 27 = 4*i. What is the remainder when 16 is divided by i?
7
Suppose 2*v - 60 = 2*f, 3*f - 10 = -4*v + 124. What is the remainder when (-12)/(-2) - 1 - (-6554 + 44)/30 is divided by v?
30
Suppose 14*f - 5*f = 18. Suppose 4*m - f*m = 0. Suppose m = -3*y, 250 = 5*i + 5*y - 3*y. Calculate the remainder when i is divided by 13.
11
Let w = -25 - -49. Calculate the remainder when (-4)/(-10) + (4 - (-1292)/20) is divided by w.
21
What is the remainder when 469 is divided by (-478)/(-3) - (-40)/60?
149
Let g = -116 - -120. Suppose -16*h + 15*h + 2 = 0. Calculate the remainder when g is divided by h.
0
Suppose 5*t = -2*r + 96, 3*t - r + 2*r = 58. Calculate the remainder when 297 is divided by t.
17
Let i = -9 + 14. Suppose -3*j - 29 = -5*q, j + 3*q - i = 4. What is the remainder when 8 is divided by 3/((-2)/(10/j))?
3
Let x be (1/((-5)/(-345)))/(-1). Let a = x + 104. Calculate the remainder when 138 is divided by a.
33
Let r(g) = g**2 - 2*g - 9. Let s be ((-4 + 1)/(-9))/(1/(-12)). Calculate the remainder when r(s) is divided by 5.
0
Let o = 9 + 2. Let b = -2 + 4. Suppose 0 = b*d - 20 - 20. What is the remainder when d is divided by o?
9
Let g = 21 + -17. Suppose 0 = -2*n + 5*a + 26 + g, 2*n + 6 = -4*a. Calculate the remainder when 19 is divided by n.
4
Let n(u) = u**3 - 2*u**2 - u + 5. Suppose 4*p + 200 = 9*p. What is the remainder when p is divided by n(3)?
7
Suppose 4*n = 2*k - 4 - 12, -3*k + 4 = 4*n. Suppose -1 = k*m - 57. Calculate the remainder when 39 is divided by m.
11
Suppose -3*d - 37 = -x, 130 = 5*x - 4*d - 55. What is the remainder when (188/28 + 1)/((-3)/(-56)) is divided by x?
33
Suppose i + 48 = 5*i. Suppose -2*h - i = -5*h. Let f = -11 + 13. Calculate the remainder when h is divided by f.
0
Suppose 39*d = 19*d + 240. Calculate the remainder when 47 is divided by d.
11
Let i = 28431 + -28418. What is the remainder when ((-144)/(-10))/(3/10) is divided by i?
9
Suppose 0 = -2*i + 5*l + 88 - 6, -3*i + 112 = -2*l. What is the remainder when i is divided by 19?
17
Suppose 0 = -k - 0*k. Suppose 6*c - 3*c + 34 = 4*x, -2*c = -4*x + 32. What is the remainder when x is divided by (4 - k - 2) + 1?
1
Let n be 3 - (-81 - 0/2)*1. Let b = -37 + n. Calculate the remainder when b is divided by 12.
11
Suppose 0 = -5*l + 2*f - 8 + 70, 5*l = -5*f + 90. What is the remainder when 39 is divided by l?
11
Let r = 0 + 5. Let q = r - 4. Calculate the remainder when 63 is divided by -3 + q/(4/76).
15
Let w(l) = -8*l + 162. Calculate the remainder when 134 is divided by w(15).
8
Let k(c) = 15*c + 1. Let t be k(1). Suppose t = y + 2. Let m(v) = v**3 - 5*v**2 + 4*v + 6. What is the remainder when m(5) is divided by y?
12
Suppose -114 = -2*i + 244. Calculate the remainder when i is divided by 18.
17
Let z = 2535 + -2489. What is the remainder when z is divided by 46?
0
Let w(a) = 2*a - 15. What is the remainder when 105 is divided by w(37)?
46
Let u(m) = 3*m**2 - 23*m + 9. Let t(c) = -4*c**2 + 35*c - 14. Let n(g) = -5*t(g) - 7*u(g). What is the remainder when 59 is divided by n(-13)?
19
Suppose 2*l - 2*o - 410 = 0, -20*l + 17*l - 5*o + 647 = 0. Calculate the remainder when l is divided by 21.
20
What is the remainder when 8/108 - 9232/(-27) is divided by 23?
20
Suppose -37*s - 4*t = -42*s + 63, 0 = -4*s - 4*t + 72. Let i = 84 + -34. Let n = -7 + i. Calculate the remainder when n is divided by s.
13
Suppose h = 5*m - 15 - 7, -h - 5*m = -18. Let q be h/(-4) - 764/(-8). Suppose 12 = -3*d + q. What is the remainder when d is divided by 8?
4
Calculate the remainder when 254 is divided by 102/4*((-150)/18 + 9).
16
Suppose -3*b - 1 = 5. Calculate the remainder when 6768/(-16)*b/6 is divided by 48.
45
Suppose 0 = -19*k + 265 + 286. What is the remainder when 141 is divided by k?
25
Suppose 86*k = 81*k + 1145. Suppose 2*h + 95 = k. Calculate the remainder when h is divided by 23.
21
Let b = 452 - 443. What is the remainder when 44 is divided by b?
8
Let d be 10/(-20) - 166/(-4). Suppose -6*h + 101 = d. Calculate the remainder when 17 is divided by h.
7
Suppose -12 = -3*o + 2*o. Calculate the remainder when 34 is divided by o.
10
Suppose 2*r - 2*x = 218, 6*x = -4*r + 3*x + 429. Calculate the remainder when r is divided by 37.
34
Suppose -w = -m - 7, 5*m - 3*w = 4*m - 17. What is the remainder when (-7)/14*8/m is divided by 2?
0
Let a(y) = -y**3 + 6*y**2 - 5*y + 2. Let w(k) = k - 2. Let q be w(6). Let l(f) = -5*f - 28. Calculate the remainder when l(-10) is divided by a(q).
8
Suppose -94 = -f + 3. Suppose -b - 3*i + f = -2, 5*b + 3*i = 507. What is the remainder when b is divided by 15?
12
Let o = -39 + 93. Let d be 1*3*(-3)/(-9). Calculate the remainder when o is divided by (-3)/(-9)*(d + 56).
16
Suppose 0 = -n - 3*n - 84. Let w = n + 34. Suppose k - 28 = 5*f, -3*k + 87 - 20 = 2*f. What is the remainder when k is divided by w?
10
Let z = 56 + -52. What is the remainder when 4 is divided by z?
0
Let l = -12 - -33. What is the remainde