t b(f) = -11*f - 2. Let y be b(-4). Suppose 0 = -5*w + y + 68. What is the remainder when 63 is divided by w?
19
Suppose -6*g - 32*g = -4066. What is the remainder when g is divided by 39?
29
Suppose 8*m - 3*m = 90. Suppose -4*s + m = -3*r - 54, -3*s + 4*r = -61. Let n = -95 + 123. Calculate the remainder when n is divided by s.
13
Let n(r) = -r**3 + 4*r**2 + r - 7. What is the remainder when 19 is divided by n(2)?
1
Let h(x) = 37*x - 4 + 0 + x**2 + x**2 - 41*x. What is the remainder when h(-1) is divided by 1?
0
Suppose -3*g = -2*q + q - 303, q = -3*g + 297. Let j = g + -61. Suppose 0 = -a + 3*x - j + 142, -x - 5 = 0. What is the remainder when a is divided by 18?
16
Let s(i) = 0*i**2 - 4*i**2 + 19 - 3*i - 27 + i**3. Let c = -11 + 16. Calculate the remainder when c is divided by s(5).
1
Suppose 4*l + 6 = -5*u + 113, -47 = -2*u - 3*l. Suppose -4*f + 171 = -3*v, f - 4*v = 2*f - u. What is the remainder when f is divided by 7?
4
Let j be ((-8)/5)/(10/(-25)) - -8. Let i = 36 - j. Calculate the remainder when 91 is divided by i.
19
Let h = 58 - 23. Suppose 13*l = 163 + 6. What is the remainder when h is divided by l?
9
Suppose -s - k + 2 = -18, 5*s - 97 = -4*k. Suppose -r + 66 = 2. Calculate the remainder when r is divided by s.
13
Let a(b) = b**3 - 10*b**2 - 12*b + 13. Let v be a(11). What is the remainder when (1 - (-69)/(-3))/(-2) is divided by v + -4 + 3 + 6?
4
Let b = 180 + -176. Calculate the remainder when 113 is divided by b.
1
Let w = 603 + -552. Calculate the remainder when w is divided by 2.
1
Let v(z) = -z - 15. Let r be v(-20). Suppose -r*k - 106 + 377 = 4*b, -3*b = 4*k - 203. Calculate the remainder when b is divided by 24.
21
Let v(n) = n**2 - n - 18. Let y be v(5). Calculate the remainder when 78 is divided by 8*(28/35)/(y/5).
14
Let t = 738 + -677. Calculate the remainder when 407 is divided by t.
41
What is the remainder when 115 is divided by 49 + -3 - (9 + -7 - -4)?
35
Calculate the remainder when 236 is divided by ((-5)/(-7)*12)/((-198)/(-924)).
36
Suppose -4*x - 4 = -4*y + 3*y, -3*x = 0. Let h be (-17)/(-3) - y/6. Suppose -h*i = i - 192. Calculate the remainder when 95 is divided by i.
31
Suppose 2*m = 12, -4*o - 4*m + 139 = 59. Calculate the remainder when 723/9 - (-4)/6 is divided by o.
11
Let s = -54 - -7. Let w = 9 - s. Calculate the remainder when w is divided by 20.
16
What is the remainder when 30/165 + 1514/22 is divided by 23?
0
Suppose -d + 5*l + 5 = 0, 0*l - 5 = -d - l. Suppose 8*s = -2*i + 6*s + 12, -s + 42 = d*i. Suppose 93 = 5*m - 27. What is the remainder when m is divided by i?
6
Let v(f) = f**3 - 42*f**2 + 51*f + 54. What is the remainder when v(41) is divided by 114?
8
Suppose -17*o = -274 + 53. Calculate the remainder when 206 is divided by o.
11
Let t = 113 - 61. What is the remainder when 125 is divided by t?
21
Suppose 0 = 5*j + y - 83, 40 = -5*j + 5*y + 135. What is the remainder when 468 is divided by j?
9
Let x = -406 - -483. Suppose 0 = 5*n - 0*n + 15, -5*r = -2*n - 86. Calculate the remainder when x is divided by r.
13
Let k(y) = -12*y - 23. What is the remainder when k(-11) is divided by 57?
52
Let o = 2039 + -1659. What is the remainder when o is divided by 122?
14
Suppose -6*n + 644 = -586. Calculate the remainder when n is divided by 70.
65
Let p = -326 - -647. Suppose -4*w + 18 - 2 = z, -4*z + 1 = -5*w. Suppose m - 4*v = v + 54, v - p = -z*m. Calculate the remainder when m is divided by 27.
25
Let m = 2858 - 5933. What is the remainder when ((-2)/16)/(-1) + m/(-40) is divided by 26?
25
Suppose 35*o = 252 + 133. What is the remainder when 21 is divided by o?
10
Let s = -8 + 14. Let t be 1/((-125)/(-31) - 4). Let l = -16 + t. Calculate the remainder when l is divided by s.
3
Suppose 2*i - 2 = -0*i. What is the remainder when (-3393)/(-1638) + (-1)/14 is divided by i?
0
Let k be 2/(-2 + -4) - 2/(-6). Suppose k = -t + 24 - 10. Let i(v) = 14*v - 2. What is the remainder when i(4) is divided by t?
12
Let y(f) be the first derivative of -f**3/3 - 6*f**2 + 7*f + 9. What is the remainder when y(-10) is divided by 13?
1
Suppose -y + 29 = 4*f + 16, -5*f = -y - 14. Suppose -5*q + 3 = -2*l - l, 5*l - 8 = 4*q. Calculate the remainder when q is divided by f.
0
Let l be (12/36)/((-1)/(-51)). Let m = 21 - l. Let f = 16 + -13. Calculate the remainder when m is divided by f.
1
Suppose 15 - 52 = -r. Suppose s = -4*b + 4*s - 27, 4*b = 5*s - r. Calculate the remainder when 61/(b/(-3)*1) is divided by 16.
13
Let b(q) = -4*q + 52. Let d be b(0). Suppose -4*x + 3*x = -d. What is the remainder when x is divided by 18?
16
Let p(x) = -237*x - 2. Let h be p(9). Calculate the remainder when ((-2)/7)/(5/h) is divided by 41.
40
Let o(k) = 2*k**3 + 9*k**2 + 8*k + 29. Calculate the remainder when 102 is divided by o(-4).
11
Let k = 339 - 321. Calculate the remainder when k is divided by 11.
7
Let t = 582 + -462. Calculate the remainder when t is divided by 61.
59
Let u(h) = -h**3 + 8*h**2 - 11*h + 6. Suppose -5*z + 98 = 4*r - 97, 2*z + 39 = r. What is the remainder when r is divided by u(6)?
9
Let m(w) = -32*w**3 + 1. Let y(g) = -2*g**2 + 12*g + 9. What is the remainder when m(-1) is divided by y(6)?
6
Let v = -59 + 96. Suppose b + 4*z = -b + 136, 0 = -2*b - 3*z + 138. Calculate the remainder when b is divided by v.
35
Let i(q) = -3*q - 10. Calculate the remainder when 211 is divided by i(-27).
69
Let z = -7 + 7. Suppose -15*f + 14*f + 62 = z. Calculate the remainder when f is divided by 8.
6
Suppose 0 = 16*m - 757 - 2011. Calculate the remainder when m is divided by 4.
1
Suppose -3*d = 3*k - 4*d - 2, k - 2 = d. Suppose -2*q - 50 = -2*x - 2*x, 5*x - 2*q - 64 = k. What is the remainder when 83 is divided by x?
13
Let x(z) be the first derivative of z**4/4 + 7*z**3/3 - z**2 - 4*z - 8. Calculate the remainder when 17 is divided by x(-7).
7
Suppose 71*z = 68*z + 114. Let l(k) = 2*k**2 - 10*k - 62. Calculate the remainder when l(13) is divided by z.
32
Let d = 4 - 3. Suppose 180 = -639*m + 684*m. What is the remainder when m is divided by d?
0
Suppose 0 = -3*h + 2*m - 8, 5*m - 20 = -5*h. Suppose h*b = b - 33. Calculate the remainder when b is divided by 6.
3
Let x(z) = z - 14. Let w be x(19). Suppose -u + w*u - 468 = 0. What is the remainder when u is divided by 30?
27
What is the remainder when (22/6)/(4/36) is divided by (-1 - 1608/(-54)) + (-12)/(-54)?
4
Let u = 1581 - 1378. What is the remainder when u is divided by 54?
41
Suppose 7 = -5*l + 37. Suppose 3*z - 5 + 53 = 5*c, -z + 2*c = 16. What is the remainder when (15/12)/((-2)/z) is divided by l?
4
Suppose n - 87 = -3*h - n, -h - 3*n + 29 = 0. Let o = -8 + 33. Suppose d + 5*f = o, -2*d = -6*d - 2*f + 46. Calculate the remainder when h is divided by d.
9
Let o be (50/(-20))/((-2)/4). Let g(x) = x**3 - 5*x**2 + 4*x + 2. What is the remainder when 63 is divided by g(o)?
19
Suppose 5*m - 1000 = -5*c, 12*m = 13*m + 2*c - 196. Calculate the remainder when m is divided by 42.
36
Calculate the remainder when 2 + (-686)/(-2) + (-93)/31 is divided by 87.
81
Let g(d) = 2*d**3 + 4*d**2 + 35*d - 154. Calculate the remainder when 209 is divided by g(4).
31
Let m = 12 + 19. Calculate the remainder when 3 + 5 + -4 + m is divided by 18.
17
Suppose 12 = n + 5. Let d = n - -1. Let m = -34 - -65. Calculate the remainder when m is divided by d.
7
Let g(i) = -28*i - 135. Calculate the remainder when 14 is divided by g(-5).
4
Suppose 0 = 20*o + 40 - 280. What is the remainder when (-36 + -2)/(2/(-3)) is divided by o?
9
Suppose 0 = -102*f + 893 + 1351. What is the remainder when 965 is divided by f?
19
Let l(w) = w**3 + 6*w**2 - 5*w + 16. Suppose r + 2 = -b - 3, -3*b - 2*r - 17 = 0. Calculate the remainder when 5 is divided by l(b).
1
Suppose -29 - 13 = -r. Suppose 6*h - 5*h = -2, -4*k + 3*h + r = 0. Suppose 2*i - 48 = -2*o, 3*o - i - 101 = -o. What is the remainder when o is divided by k?
7
Let o = -233 + 304. What is the remainder when o is divided by 40?
31
Suppose 0*w + 4 = 4*w. Let j be (-11 + 13)*(w - 0). Suppose -5*x = -5*f - 60, j*x + 3*x + 4*f - 33 = 0. Calculate the remainder when 33 is divided by x.
6
Suppose -j + 9*n - 4*n - 5 = 0, -3*j - 3*n = -3. Suppose -3*b = -j*b - 6, -y = -b - 24. What is the remainder when y is divided by 4?
2
Let f(s) = -s**2 + 12*s - 8. Let u be f(11). Suppos