et w be g*9/(-6) + -4. Calculate the remainder when (w/4)/((-1)/76) is divided by 10.
9
Let j(m) = -m**2 - 20*m + 30. Let c be -1 - (-24*1)/4. Suppose r - 26 = -s - s, -s = c*r - 13. Calculate the remainder when j(-19) is divided by s.
10
Suppose -5*h = 20, -z + 0*h - 45 = -h. Let q = z + 78. Calculate the remainder when q is divided by 10.
9
Suppose 0 = -12*i + 72. Calculate the remainder when 9 is divided by i.
3
What is the remainder when 307/7 + (-39)/(-273) is divided by 30?
14
Suppose 14*d - 708 = -232. Let w(p) = -3*p - 3. Calculate the remainder when d is divided by w(-5).
10
Suppose 4*z - z - 30 = 0. Let f = 2547 - 2510. What is the remainder when f is divided by z?
7
Let b = -18 - -28. Suppose -d + 36 = -b. Let i = d - 32. Calculate the remainder when i is divided by 5.
4
Let n(t) = -t**3 - 9*t + 146. What is the remainder when n(0) is divided by 37?
35
Suppose 3 = -6*z + 3*z. Let d(m) = 2*m + 8. Let q be d(3). Let j = q - z. What is the remainder when 27 is divided by j?
12
Let k(m) = 34*m - 24. Let f(c) = 11*c - 8. Let y(p) = 7*f(p) - 2*k(p). What is the remainder when y(7) is divided by 8?
7
Let w(x) = -x - 7. Let s be w(-12). Suppose 5 = s*u - 20. Let d(v) = -v**3 + 4*v**2 + 5*v + 5. Calculate the remainder when 12 is divided by d(u).
2
Let w(s) = s**2 - 10*s. Let o be w(8). Let p = o - -28. Suppose 3*u - 2*u = p. Calculate the remainder when 47 is divided by u.
11
Suppose -17*c + 1800 = 3*c. What is the remainder when c is divided by 31?
28
Suppose 8*y - 13*y + 20 = 0. What is the remainder when 8 + (3 - 2) + -3 is divided by y?
2
Let q(w) = 2*w**3 + 9 + 6*w - 10*w**2 + 5*w - 3*w**3. Calculate the remainder when 15 is divided by q(-11).
6
Suppose 16 = -3*k - k. Suppose 44 = 4*j + 8. Calculate the remainder when 0/k + 3*14 is divided by j.
6
Let s(z) = z**2 - 42*z + 118. What is the remainder when 98 is divided by s(40)?
22
What is the remainder when ((-27)/27)/(-1 + 726/729) is divided by 41?
38
Suppose -916 - 1008 = -37*i. Calculate the remainder when i is divided by (-2 + 1)*(-27)/1.
25
Let b = -98 - -101. Suppose 0 = 5*j + 5*t + 15, -4*j - 1 = t + 8. Let u = 3 + j. What is the remainder when b is divided by u?
0
Suppose i = -5*t + 23, 4*t + 2*i - 4*i - 10 = 0. Let l be (1 - 4)*88/33. Let y = 11 + l. Calculate the remainder when t is divided by y.
1
Let y = -25 + 16. Let d = y - -26. Calculate the remainder when 27 is divided by d.
10
Let f(z) be the third derivative of -1/120*z**6 + 0 + 7*z**2 + 0*z - 5/24*z**4 - 2/3*z**3 - 11/60*z**5. Calculate the remainder when f(-11) is divided by 18.
15
Suppose n + 147 = u, 5*u + 6*n = 3*n + 727. What is the remainder when u is divided by 5?
1
Let p(c) = 14*c - 37. Calculate the remainder when p(3) is divided by 3.
2
Let n = 597 - 571. Calculate the remainder when 64 is divided by n.
12
Let g = -43 + 85. Suppose g + 84 = 6*i. Calculate the remainder when i is divided by 1/((-2)/(-24) - 0).
9
Let a = 34 - 15. Let s = -2 + 7. What is the remainder when a is divided by s/10 - 9/(-2)?
4
Let h be 24/(-32) + (-189)/4. Let w = -33 - h. Calculate the remainder when w is divided by 5.
0
Let r(h) = -3*h**3 + 150*h**2 + 12. Suppose 0 = -4*q - 16 + 96. What is the remainder when (69/(-2))/((-15)/q) is divided by r(50)?
10
Let q(o) = -o**3 - 5*o**2 + o - 2. Let y(p) = -p**3 + 1. Let a(s) = q(s) - 2*y(s). Calculate the remainder when a(6) is divided by 5.
3
Calculate the remainder when 9/(-21) + 5155/7 is divided by 11.
10
Let a(o) = 22*o + 215. Let c(z) = 2*z**2 + 11*z + 10. Calculate the remainder when c(-7) is divided by a(-9).
14
Suppose 0 = 2*k - 4*y - 66, 4*k + 2*y + y = 132. Calculate the remainder when 90 is divided by k.
24
Let b(h) = h**2 - h**2 + 2*h + h**2 + 2 + 4. Let f be 12/(-2) + (-8)/8. What is the remainder when b(f) is divided by 11?
8
Let n = -52 + 95. Suppose 3*l - 43 = -2*f, -l - f + 2*f + 16 = 0. Suppose 3*y - 30 - l = 0. What is the remainder when n is divided by y?
13
Suppose 0 = 4*l + 3*a - 2 + 12, -2*l = 5*a + 12. Let r be 0 + l + (5 - 1). What is the remainder when (r - 1)*(-61)/(-2) is divided by 16?
13
Suppose 0 = -4*r + 124 - 24. What is the remainder when 323 is divided by r?
23
Let p(r) = -20 - 24 + 12*r**2 + 41. Calculate the remainder when p(3) is divided by 12.
9
Suppose -7*r - 205 = -303. What is the remainder when -32*((-15)/6 + 0) is divided by r?
10
Let m(k) = -k**3 - 2*k + 32. Let v(h) = -h**2 + 7*h - 7. Let b be v(4). Suppose -178 - 132 = -b*c. Calculate the remainder when c is divided by m(0).
30
Suppose 3*v - 4*v = -5. Calculate the remainder when (1 - 1/2) + 999/74 is divided by v.
4
Let t = -77 - -136. Calculate the remainder when t is divided by 2/(-17) - (-1482)/(-884)*-12.
19
Let g be ((-12)/(-15))/((-2)/(-5)). Suppose 4*r + h = g*r + 71, 3*h - 108 = -3*r. Let c(d) = -d + 8. What is the remainder when r is divided by c(-5)?
9
Let i = 35 + -35. Suppose -s - 4*s + 145 = i. What is the remainder when s is divided by 10?
9
Let f(m) = -15*m - 2. Suppose -26*r = 48*r - 112*r + 5282. Calculate the remainder when r is divided by f(-2).
27
Let t(d) = -6*d - 9. What is the remainder when 268 is divided by t(-6)?
25
Suppose 21 = -2*i + 57. Suppose j - 25 = 3*n + i, 5*n = -5*j + 135. Let b = 34 + j. What is the remainder when b is divided by 22?
21
Let q(x) = 3*x**2 + x - 6. Let g be 2 + -4*2/(-4). Suppose -4*m = i - 19 - 34, -2*m = 3*i - 39. Calculate the remainder when q(g) is divided by m.
10
Suppose -6 = -3*t - 0. Suppose 13*z - 10*z - 3 = 0. What is the remainder when t is divided by z?
0
Suppose 9*w = -2*n + 8*w + 146, 2*w = -5*n + 367. Let d(c) = c**3 + c + 11. What is the remainder when n is divided by d(0)?
9
What is the remainder when 493 is divided by (-314)/(-12) - 41/246?
25
Suppose -2*n - 10 = -94. Let g = -24 + n. What is the remainder when g is divided by 6?
0
Let q = -20 + 23. Suppose q*r - 488 = -5*r. Calculate the remainder when r is divided by 18.
7
Suppose -4*g + 5*q = -109, 2*q - 65 = -3*g + 34. Calculate the remainder when g is divided by 1.
0
Let a be (-363)/(-77) + 2/7. Suppose -4*r = a*g + 579, 5*r + 7*g - 2*g + 725 = 0. Let f = -103 - r. What is the remainder when f is divided by 11?
10
Let p = -163 - -187. What is the remainder when 61 is divided by p?
13
Let j(l) = -l**3 - 10*l**2 - l + 4. Let y be j(-10). Suppose -y - 94 = 4*q. Let n = 45 + q. What is the remainder when n is divided by 10?
8
Let k = -84 - -95. What is the remainder when 85 is divided by k?
8
Let v = 90 + -66. Suppose v + 2 = 2*h. What is the remainder when h is divided by 7?
6
Suppose 39*q + 6684 = 51*q. Calculate the remainder when q is divided by 94.
87
Suppose -4*r + 2*r = -4*l - 92, 0 = -2*r + 2*l + 82. Suppose -23*b + 13528 = 53*b. Calculate the remainder when b is divided by r.
34
Suppose 4*g - 26 = -n + 3, -5*n = 3*g - 60. Let t = 80 + -33. Calculate the remainder when t is divided by (-6)/n*75/(-2).
22
Let g(a) be the third derivative of -11*a**4/24 - 3*a**3/2 - 8*a**2. What is the remainder when g(-4) is divided by 19?
16
Let b(a) = a**2 + a - 9. Let k = 43 - 31. What is the remainder when b(7) is divided by k?
11
Let b(o) = 6*o - 1. Let r(u) = u**2 + 5*u - 11. Let y be r(-7). Calculate the remainder when 48 is divided by b(y).
14
Suppose 4*y + 50 = 2*c, 2*c + 3*y - 78 = -0*c. Suppose b = -2*b + c. Let h = -1928 + 1946. Calculate the remainder when h is divided by b.
7
Suppose -2*m = -487 - 15. Let q = m + -150. What is the remainder when q is divided by 36?
29
Suppose -5*j = 3*x - 157, 0*x = -2*x - 2. Let h = -26 + j. Suppose 9*q - 4*q - 93 = 4*r, r - 32 = -2*q. Calculate the remainder when q is divided by h.
5
Let j be (1 - 13)/(30/(-40)). Suppose -13*c - j = -15*c. What is the remainder when c is divided by 3?
2
Let k = 25 + -26. Let f = k + 40. Calculate the remainder when f is divided by 21.
18
Suppose 3*c + 77 = z, -4*z + z = -3*c - 261. Calculate the remainder when z is divided by 5.
2
Let h = 122 + -92. Calculate the remainder when h is divided by 8.
6
Suppose 2*g - 76 + 4 = 0. Suppose g = 4*m - 0*m. Calculate the remainder when 15 is divided by m.
6
Suppose 4*z = 3*b - 139, 0 = -5*b - 3*z + 338 - 58. Suppose 4*l = o - b - 30, 20 = -4*l. What is the remainder when o is divided by 16?
15
Suppose -3*z + 5*z = -10. Let s(j) = -j**3 - j**2 + 5*j + 5. 