ppose 40*l - 39*l + 19 = p, 0 = -2*p - l + 47. What is the remainder when (-16)/(-6)*(-645)/(-20) is divided by p?
20
Suppose 53*t = 49*t + 712. What is the remainder when t is divided by 61?
56
Let y = -271 + 290. Calculate the remainder when y is divided by 9.
1
Let w = -2137 + 2345. Calculate the remainder when 432 is divided by w.
16
Let g(j) = 2*j**3 - 111*j**2 - 52*j - 213. Suppose k = -4*s + 24, -s = 3*s + 3*k - 24. Suppose c - s = -c. Calculate the remainder when g(56) is divided by c.
2
Suppose j - 4*m - 626 = 0, 5*m - 561 - 74 = -j. Suppose -7*a + j = 2*a. What is the remainder when a is divided by 15?
10
Suppose 29 = 5*i + 9. Suppose -423 = -i*b - 3*s, -5*b - 314 + 835 = -4*s. Suppose b = 4*n + n. Calculate the remainder when n is divided by 8.
5
Let n(l) = -l**3 - 29*l**2 - l - 18. Calculate the remainder when 82 is divided by n(-29).
5
Calculate the remainder when (10 - (0 - 78)) + -5 is divided by 28.
27
Let t(w) = 3*w**2 - 21*w - 5. Let y = 97 + -53. Calculate the remainder when t(10) is divided by y.
41
What is the remainder when 757 is divided by 9 + 265/(-30) - (-826)/12?
67
Suppose -4*p - 4 = 5*h, -4*h + 4*p = -2*h + 24. Let a be (-4)/(2/(-1)) + h. What is the remainder when ((-1665)/(-6))/(-5)*a is divided by 28?
27
Let h = -53 - -56. Suppose w + 1 = 0, -4*g - w = -0 - h. What is the remainder when g is divided by 1?
0
Let b = 1085 - 938. What is the remainder when b is divided by 16?
3
Let g be (10/(-4))/((-6)/(-12)). Let x be (48/20)/(g/25). What is the remainder when 3 is divided by x/66 + (-13)/(-11)?
0
Suppose -42 = 17*y - 19*y. Calculate the remainder when (162/(-8))/(1/(-4)) is divided by y.
18
Suppose 5*i + 29 = 3*s, i + 15 = s - 2*i. Suppose -q + 61 = 5*v, 0*q + 27 = s*v + 3*q. Calculate the remainder when v is divided by 4.
1
Suppose 4*l + 2*p - 46 = 0, 4*p - 62 = -5*l - 0*p. Let w = 15 - 18. Let u = l + w. What is the remainder when 18 is divided by u?
4
Let a(o) be the second derivative of o**5/20 + 7*o**4/12 + o**3 + 3*o**2 - 2*o. Suppose -3*g - 9*g + 192 = 0. What is the remainder when g is divided by a(-6)?
4
Suppose -16*r + 52 = -15*r. Calculate the remainder when r is divided by 1 - -17 - (-1 - -1).
16
Suppose 2*z + 61 = k, 146 - 16 = -5*z - 2*k. Let p = z + 74. Suppose -10 = 5*r, -5*q - 4*r + p = -2*q. What is the remainder when 71 is divided by q?
17
Let q = 105 + -103. Calculate the remainder when 0 + 2 + -1 - (-80 + q) is divided by 20.
19
Suppose 0 = -0*q + 2*q - 32. What is the remainder when (330/12)/(2/4) is divided by q?
7
Let a = 269 + -116. Suppose 183 = 8*c - a. What is the remainder when c is divided by 15?
12
Let f = -94 + 160. Let x = f + -35. Calculate the remainder when x is divided by 8.
7
Let b = 66 - 23. Let m(u) = -u**3 - 3*u**2 + 11*u - 20. Calculate the remainder when b is divided by m(-6).
21
Let q = 10 - -7. Calculate the remainder when (q + -3)/(2 - 0) is divided by 4.
3
Let w = -923 + 961. Suppose -5*s = 147 - 517. Calculate the remainder when s is divided by w.
36
Let i = 19 + 0. Suppose -5*q - 98 = -m, -15 - 5 = 4*q. Calculate the remainder when m is divided by i.
16
Let r(q) = q + 27 - 8*q + 6*q. What is the remainder when 22 is divided by r(18)?
4
Suppose 0 = 23*f - 16*f - 126. What is the remainder when 269 is divided by f?
17
Suppose 2*i - 4*i + 42 = 0. Let n(s) = 8*s - 2. Let y be n(-1). Let c = 18 + y. Calculate the remainder when i is divided by c.
5
Let x = 32 - 74. Let f = 59 + x. Suppose 3*b = b + 132. Calculate the remainder when b is divided by f.
15
Let u be (1/((-6)/(-4)))/(1/3). Suppose -10 = -u*l + 28. What is the remainder when l is divided by 13?
6
Let x(z) = z**3 + 16*z**2 - 238*z + 49. Calculate the remainder when x(-23) is divided by 73.
68
Let p(s) = 7*s - 84. What is the remainder when 31 is divided by p(15)?
10
Let m(g) be the third derivative of -g**5/60 - g**4/3 - 4*g**3/3 + 2*g**2. What is the remainder when -7 + 6 + (-64)/(-2) is divided by m(-4)?
7
Suppose -3*b + 88 = 2*b - y, -5*b = -3*y - 94. What is the remainder when (-48)/10*650/(-104) is divided by b?
13
Let u(j) = -6 + 1 + 8*j - 3*j - 2. What is the remainder when 29 is divided by u(3)?
5
Suppose -4*x = x - 295. Suppose -387*v = -378*v - 80 - 109. What is the remainder when x is divided by v?
17
Suppose 4 - 205 = -3*k. What is the remainder when 196 is divided by k?
62
Let m(p) = -p**2 + 10. Let l be m(3). Calculate the remainder when 464/4 + (0/l - 1) is divided by 29.
28
Let r(v) = -14*v + 111. What is the remainder when 483 is divided by r(6)?
24
Let i = 4 - -6. Suppose -32 = -14*z + i*z. What is the remainder when z is divided by 7?
1
Suppose -41*r + 388 + 678 = 0. Calculate the remainder when 167 is divided by r.
11
Let z = -216 - -52. Let w = -3 - -24. Calculate the remainder when (-2 + -1)/12*z is divided by w.
20
Let s be 20/(-40)*-83*2. Suppose -b + 272 = 4*x - 5*b, x = -2*b + s. Suppose 3*q - x + 1 = 0. Calculate the remainder when q is divided by 9.
6
Suppose 1388 = 18*j + 20. Calculate the remainder when j is divided by 11.
10
Suppose 0 = 12*c - 7*c - 635. What is the remainder when c is divided by 26?
23
Suppose -7*l + 25 + 80 = 0. Let u = l - 4. Suppose -4*o - 3*k = 9 - 102, 0 = o + 2*k - 27. What is the remainder when o is divided by u?
10
Let t(m) = 34*m + 4. What is the remainder when t(1) is divided by 8?
6
What is the remainder when 924 is divided by 4*(-3 - (-345)/12)?
100
Let p = -40 + 37. What is the remainder when (-2)/6 + -43*1/p is divided by 10?
4
Let n be 2 + (14*26)/4. Suppose 11 = -4*h - 5, 2*h + n = 5*o. Calculate the remainder when 99 is divided by o.
14
Let q = 9 - -11. Calculate the remainder when (-1 - (-15)/q)*-12 is divided by 1.
0
Let v(t) = -t**2 + 8*t - 4. Let l be v(7). Suppose 2*h + 36 = l*h - 2*j, -4*j - 42 = -h. What is the remainder when 87 is divided by h?
27
Suppose -x = x - 18. Suppose b + 2*b - x = 0. Suppose -27 = -4*g - q, 0 = 5*g + b*q + 2*q - 30. What is the remainder when g is divided by 5?
2
Suppose -3*c + 4*c = -90. Calculate the remainder when 27 is divided by (0 - 2)/(4 - c/(-21)).
6
Suppose 0*o + o = 228. Suppose -26*l + 184 = -22*l. Calculate the remainder when o is divided by l.
44
Suppose -3*z - 2*t = -0*z - 383, z = 4*t + 123. Suppose 3*x = -k - k + z, -3*x = -4*k - 115. Calculate the remainder when 163 is divided by x.
40
Let p(x) = -x**2 + 99*x - 132. Let v(d) = -6*d - 2. What is the remainder when p(97) is divided by v(-3)?
14
Suppose 2*l - 3*m + 95 = -12, 0 = -5*m - 25. Let q be (-1 + 8)/((-1)/17). Let d = l - q. Calculate the remainder when d is divided by 30.
28
Let s = -355 + 238. Let p = s + 179. What is the remainder when p is divided by 8?
6
Suppose -4*r + 15 = -r. Suppose 5 = -2*d + 6*d - 3*b, r*b = -5*d + 50. Suppose 2*m - d*c = 15, 0 = 4*c - 12. What is the remainder when m is divided by 6?
3
Let k = 30 + -20. Let u = 16 - k. Suppose 0 = -3*p + 15 + u. Calculate the remainder when p is divided by 4.
3
Suppose 5*y - 3*o - 161 = 0, -5*y + 2*o + 145 = 7*o. Suppose 7*p = -y - 18. Let b(r) = r**3 + 7*r**2 - 6*r + 1. What is the remainder when b(p) is divided by 9?
7
Suppose 2*t + 3*t = t. Suppose t = 7*l - 4*l + 3*x - 57, 0 = -5*l - 4*x + 90. Calculate the remainder when l is divided by 5.
4
Suppose 18 = 20*w - 202. Suppose -2*f = 2*f. Calculate the remainder when 31/1 + -1 + f is divided by w.
8
Let q be ((-3)/4)/(-1)*(-48)/(-18). What is the remainder when 7 is divided by 5 + -7 - (16/(-2))/q?
1
Let x(q) = 22*q - 9. Let i(l) = 33*l - 13. Let j(w) = -5*i(w) + 8*x(w). What is the remainder when j(14) is divided by 37?
36
Suppose -42*k + 40*k = -98. Let d(w) = 13*w**3 - w**2 + w. What is the remainder when k is divided by d(1)?
10
Let z(u) = 4*u**2 + 62*u - 33*u - u**3 - 24*u + 1. Calculate the remainder when z(4) is divided by (-11 - 0)*(-3)/3.
10
Let t be -51*3*(-8)/36. Suppose 0 = -3*k - 2*c + 49, 3*k = 2*c - c + t. Calculate the remainder when 38 is divided by k.
12
Suppose 2*z = -2*z + 5*u + 31, 4*z - 2*u - 22 = 0. Suppose z*t = -5*f + 111 - 23, -3*t = f - 55. Calculate the remainder when 66 is divided by t.
15
Let s = 13 + -9. Suppose 2*b + 3*r - 6 = 0, -3*r = s*b - 15 + 3. What is the remainder when 203/3 - (-1)/b is divided by 14?
12
Let j be 46/11 - 76/418. Suppose -4*t + t = -36. Suppose -u - 8 = -3*u + j*d, -t