-174)) is divided by 8.
5
Calculate the remainder when (18/(-8))/(7*6/(-14280)) is divided by 59.
57
Suppose 3*s - 12 = 0, -3*l = -20*s + 16*s - 83. Calculate the remainder when 69 is divided by l.
3
Suppose -2224 = -16*k + 8*k. Calculate the remainder when k is divided by 20.
18
Let k = 7 + -58. Let s = 98 + k. Calculate the remainder when s is divided by 12.
11
Suppose 0*m + 108 = 5*m - 4*k, 2*m = -3*k + 34. What is the remainder when 57 is divided by m?
17
Suppose -3*f - 6 = -72. Let c = -999 - -1697. Calculate the remainder when c/8 + 4/(-16) is divided by f.
21
Let y(z) = 3*z**3 + 2*z**3 + z + 4*z**2 + 4 - 5*z**3 - z**3. Let g be y(4). Calculate the remainder when 2 is divided by 5/3 - g/12.
0
Suppose 2573 + 1342 = 15*x. Calculate the remainder when x is divided by 85.
6
What is the remainder when ((-12)/(-9) + 4)*(-162)/(-8) is divided by 29?
21
Let g(s) = 22*s**3 - 2*s**2 - 3*s - 1. Let o be g(-1). Let x(q) = -2*q**2 - 47*q - 51. Calculate the remainder when 39 is divided by x(o).
9
Let x = -172 - -224. Suppose 90 = -7*p + 12*p. Calculate the remainder when x is divided by p.
16
Let h(v) = -14*v - 28. Calculate the remainder when h(-11) is divided by 13.
9
Let q(t) = 42*t - 5*t**2 - 19 - 5*t**3 + 5 - 38*t + 4*t**3. What is the remainder when q(-8) is divided by 49?
48
Suppose 4*m - 100 = -3*q, 3*m - 5*q = -m + 100. Suppose 0*i - 29 = -i. Calculate the remainder when i is divided by 80/6*30/m.
13
Let k(d) = 27*d + 777. What is the remainder when 163 is divided by k(-28)?
16
Let m = -3 + 33. Let s(q) = 3*q + 24. Let g(n) = -4*n - 25. Let d(j) = 2*g(j) + 3*s(j). What is the remainder when m is divided by d(-11)?
8
Suppose -9*j = -288 - 972. What is the remainder when 23 is divided by j/15*6/4?
9
What is the remainder when 17 is divided by (-132)/(-18) - 12/(-18)?
1
Let c be (0 + (-3)/(-12)*0)/1. Let a(r) be the first derivative of -r**3/3 + 6*r - 3. Calculate the remainder when 17 is divided by a(c).
5
Suppose 0 = -4*y - 8, -4*d + y - 28 + 122 = 0. Suppose 0*v - 5*v - 17 = -3*i, 0 = -2*i - 5*v + 3. What is the remainder when d is divided by i?
3
Suppose 2*t - 3*t = -2. Suppose -t*d + d = -10. Let y(w) = -w**3 - 5*w**2 - 5*w + 4. Calculate the remainder when y(-5) is divided by d.
9
Suppose 56 = 4*n - 36. Suppose 19*f - n*f = -68. What is the remainder when f is divided by 9?
8
Calculate the remainder when 3*(-47)/(-5)*(-75)/(-45) is divided by 31.
16
Suppose 644 + 1008 = 28*w. Calculate the remainder when 190 is divided by w.
13
Let m be (4/(-8))/((-2)/12). Let o(y) = y + 1 + 0*y + m + y. What is the remainder when o(3) is divided by 3?
1
Calculate the remainder when 0/8 - -5 - -433 is divided by 20.
18
Let n(a) = 2*a**3 - 125*a**2 + 61*a + 86. What is the remainder when 141 is divided by n(62)?
21
Let r(h) = h + 8. Let j be r(-8). Suppose 2*i - i - 16 = j. Calculate the remainder when i is divided by 10.
6
Let i(h) = -h**2 + 6*h + 4. Let s be i(6). What is the remainder when 252/16 + s*(-4)/(-64) is divided by 4?
0
What is the remainder when (-7740)/(-80) - (2/(-8))/1 is divided by 33?
31
Let n(m) be the third derivative of m**5/60 - m**4/8 - 7*m**3/6 - 12*m**2. What is the remainder when 52 is divided by n(-3)?
8
What is the remainder when 95 is divided by -2*(-6 + 9/(-18))?
4
Suppose 0 = 5*v - 10 - 0. Suppose 7*z - 70 = v*z. Let t = z + -7. Calculate the remainder when 27 is divided by t.
6
Let r be 3/9 + 746/(-6). Let v = -45 - r. What is the remainder when v is divided by 16?
15
Let g = 223 - 182. What is the remainder when g is divided by 24?
17
Suppose -35*c + 40*c + 5*v - 65 = 0, -4*c - 2*v + 62 = 0. What is the remainder when c is divided by 7?
4
Let a = 2804 + -2694. What is the remainder when a is divided by 23?
18
Suppose -126 - 194 = -10*s. Calculate the remainder when 62 is divided by s.
30
Let n(b) = b**3 - 8*b**2 + 3*b - 7. Suppose 5*g - 3*l - 144 = 0, -5*g + 9*l = 14*l - 120. What is the remainder when n(9) is divided by g?
20
Let s(i) = -i**3 + 7*i**2 + 2*i - 11. Let f be s(7). Suppose 5*u + 0*n = -5*n + 355, u - 81 = -f*n. Calculate the remainder when u is divided by 23.
20
Suppose 132 = w - j, 2*w + 3*j - 277 = 7. Let x(k) = 30*k - 3. What is the remainder when x(2) is divided by (-198)/(-16) - 51/w?
9
Suppose -76 = -3*r - r. Suppose 3*j - 62 = -2*b + 56, -j = 5*b - 269. What is the remainder when b is divided by r?
15
Suppose 0 = 3*g + x + 20 - 8, -g - x = 4. Let n be (1/(-2))/(g/8). Let m = n - -5. Calculate the remainder when 17 is divided by m.
5
Suppose 143*y = 119*y + 768. What is the remainder when -4*-25*5/4 is divided by y?
29
Suppose -6*i - 6 = -30. Suppose 0 = s - i*o - 68, -2*s + 5*o + 176 = s. Suppose -3*q - 22 = -5*q. What is the remainder when s is divided by q?
8
Suppose -3*t + 4*t = -2*g + 97, -2*t = -10. Calculate the remainder when g is divided by 18.
10
Suppose -2*m = 2*x - 50, m + 5*x + 82 = 5*m. Calculate the remainder when m is divided by ((-375)/45)/((-45)/54).
3
Suppose 4*t - 19 = -q, 5*q - 5*t - 3 = -2*t. What is the remainder when 21 is divided by -2*(-1 - 9/q)?
5
Let u = 66 + -44. Let k(p) = -3*p + 3. Let v be k(-3). Suppose 0*s = 2*f + 4*s - v, -5 = -f - 3*s. What is the remainder when u is divided by f?
6
Suppose 0 = 4*l - 7*l + 15. Suppose l*w - 2*x - 2*x = 42, x + 3 = 0. Suppose -w*q - 234 = -9*q. What is the remainder when q is divided by 16?
14
Let n(y) = y**3 - 8*y**2 + 11*y - 12. Let u be n(6). Let p = u - -44. Calculate the remainder when p is divided by 6.
2
Suppose -d = -5*p + 53 + 53, 82 = 3*p + 4*d. What is the remainder when (-1281)/(-33) + 4/p is divided by 14?
11
What is the remainder when 1/(-3) + 880/12 is divided by 19?
16
Suppose -8*j = -19*j + 1287. Suppose 15*w - 2*w = j. Let i = -15 + 41. Calculate the remainder when i is divided by w.
8
Let t be (-8)/(-10)*(-15)/(-6). Suppose -t*o = -0*o - 68. Calculate the remainder when o is divided by 9.
7
Let t(k) = -k**2 + 23*k - 4. What is the remainder when t(16) is divided by (2 - -2)*11/2?
20
Suppose -5*i = -3*b - 0 + 38, -4*b = 5*i - 4. Suppose -109 = -b*f - 7. What is the remainder when f is divided by 10?
7
Suppose 5*n - 5*s = -0*s - 10, 5*n - 4*s = -5. What is the remainder when 62 is divided by 234/(-27)*n/(-2)?
10
Let y be (-4)/14 + 3502/7. Suppose 0 = 51*i - 46*i - y. What is the remainder when i is divided by 35?
30
Calculate the remainder when ((-12)/(-54))/(2/846) is divided by 32.
30
Suppose b + 92 = 95. Calculate the remainder when 32 is divided by b.
2
Let o(g) = g**2 - 12*g - 14*g + 12 + 15*g. Let l be o(10). Suppose -5*n - l*b = -51, 5*n + 5*b = 2*n + 23. Calculate the remainder when 20 is divided by n.
9
Let w be 9/54 + (-790)/(-12). Suppose w*u = 60*u + 18. What is the remainder when 7 is divided by u?
1
Suppose 3*h + h + 439 = 5*s, h + 88 = s. Calculate the remainder when s is divided by 29.
0
Suppose -103*v = 3*v - 17596. What is the remainder when v is divided by 58?
50
Let d = -691 + 709. What is the remainder when 51 is divided by d?
15
Let r = 562 - 533. Calculate the remainder when r is divided by 18.
11
Let s = 174 - 125. Calculate the remainder when 145 is divided by s.
47
Suppose 3*m - 7*m + 89 = -l, -3*m + 2*l = -63. Calculate the remainder when 0 + (-4536)/(-78) + (-14)/91 is divided by m.
12
Let a(z) = 11*z**2 + z + 2*z - 6*z + z**3 + 2*z + 14. Let w(o) = -o + 1. Let j be w(12). What is the remainder when 47 is divided by a(j)?
22
Let k = 14 + -7. Suppose 10 = -2*u - 4*p, 2*u = u + p + k. Suppose r = -3*f + 36, -3*r - u*f + 23 = -55. Calculate the remainder when 60 is divided by r.
18
Let b = 15 - -5. Calculate the remainder when (-354)/10*-2 - (-8)/(-10) is divided by b.
10
Suppose -37*v + 11 = -36*v. What is the remainder when 71 is divided by v?
5
Suppose i - 7 = 2*r, -2*i + 2*r - 11 = -33. Suppose 117 = 5*o - 2*o. Calculate the remainder when o is divided by i.
9
Let u(w) = 6*w**2 - 3*w - 3. Let b be 1*(-4 + 2) - 1. What is the remainder when u(-2) is divided by (-4 - b)/((-4)/28)?
6
Suppose 1355 = 3*n - 418. Calculate the remainder when n is divided by 74.
73
Let r(l) = -l**3 + l**2 + l + 2. Let q be r(2). Suppose q = -4*z - 68 + 472. Calculate the remainder when z is divided by 17.
16
Let t(c) be the third derivative of c**4/24 + c**3/2 + c**2. Let n be t(5). Calculate the remainder whe