Suppose -i*n = 2*n - 155. What is the remainder when n is divided by s?
14
Suppose 132 = 4*v - j, 7*j = 2*j + 20. Calculate the remainder when v is divided by 6.
4
Let w(t) be the third derivative of 1/6*t**4 + 2*t**2 + 0*t + 1/30*t**5 + 0 + 1/6*t**3. What is the remainder when w(6) is divided by 25?
22
Let g(k) = -k**3 + 5*k**2 - 4*k - 2. Let p be g(4). Calculate the remainder when (10/(-10))/(p/40) is divided by 12.
8
Suppose 0 = 5*b + 5*h + 5 + 5, -5*b - 3*h - 10 = 0. What is the remainder when 12/b*185/(-111) is divided by 6?
4
Let r = -90 - -102. Calculate the remainder when 47 is divided by r.
11
Suppose -3*i = 6, -2*r + 2*i = -r - 19. Let y = -18 - -10. Calculate the remainder when (-1 - (-40 - -2)) + y + 12 is divided by r.
11
Suppose -2*f - 36 = -2*r, 3*f - 4*f = 0. Calculate the remainder when 12 is divided by (r/(-30) - (-18)/5) + 4.
5
Suppose -3*m - 45 = -2*c + 2*m, 4*c - 4*m - 60 = 0. Let f(i) = -25*i + 6. Let n be f(-6). Suppose 2*o + n = 6*o. What is the remainder when o is divided by c?
9
Let n(m) = -m**2 + 7*m + 11. Let l be n(9). Calculate the remainder when 8/((42/(-45))/l) is divided by 33.
27
Suppose 0 = g + 12 - 24. What is the remainder when 118 is divided by g?
10
Let w = -1033 + 1066. Let t(g) = -2*g**3 - 8*g**2 + g - 7. What is the remainder when t(-6) is divided by w?
32
Let o = -17 + 40. Suppose -n + 9 = -3. Calculate the remainder when o is divided by n.
11
Suppose x - 4 - 34 = -5*t, -3*t = -2*x + 102. What is the remainder when (-27 - -40 - 14)/((-1)/90) is divided by x?
42
Let b(l) = -71*l - 35. What is the remainder when 303 is divided by b(-1)?
15
Suppose 8*o - 4*o - 56 = 0. Let a(i) = i**2 + 13*i + 61. What is the remainder when a(-4) is divided by o?
11
Suppose 10*m = 12*m. What is the remainder when 2 + m - 2*-13 is divided by (-2)/(-2) - 14*-1?
13
Let w be (240/(-56))/(2/(-14)). Suppose d + w = -d. Let b = 3 - d. Calculate the remainder when b is divided by 7.
4
Suppose 0 = 3*i - 43 - 11. What is the remainder when (27 - (-50 + 31)) + (1 - 4) is divided by i?
7
Let s be (1/5*-3)/((-1)/85). Let p(z) = 7*z**3 - z. Let a be p(1). What is the remainder when -1 + a/9*s is divided by 9?
6
Let f(v) be the third derivative of v**6/120 - v**5/6 + 7*v**4/24 - 8*v**3/3 - 27*v**2. What is the remainder when f(10) is divided by 14?
12
Suppose 132*m - 131*m - 18 = 0. What is the remainder when 29 is divided by m?
11
Let z(c) = -c**3 + 6*c**2 - 3*c - 3. Suppose -3*r - 3*r = -42. Let x = 1 + r. Calculate the remainder when z(3) is divided by x.
7
Let f(n) = n**3 - 21*n**2 + 2*n - 23. Calculate the remainder when (-2)/3 + 672/9 is divided by f(21).
17
Calculate the remainder when 56 is divided by 7 + 9 + (-35)/(-21)*-3.
1
What is the remainder when 3*(-14)/(-105) + (-804)/(-15) is divided by 12?
6
Let w(d) be the first derivative of -d**4/2 - 2*d**3/3 - 7*d**2/2 + d - 5. What is the remainder when w(-2) is divided by 3?
2
Let h = 243 + -227. Calculate the remainder when 124 is divided by h.
12
Suppose 0*t - 12 = -4*t. Suppose -t*p + 73 = -2. Let j = p + 0. Calculate the remainder when 48 is divided by j.
23
Suppose -5*y - 117 = -4*s, 0 = -5*s + 2*y + y + 130. Let j = -61 + 124. Let z = j + -18. What is the remainder when z is divided by s?
22
Let b(c) be the third derivative of 1/24*c**4 - 6*c**2 - 1/120*c**6 + 0 - 1/60*c**5 + 0*c + 41/6*c**3. What is the remainder when b(0) is divided by 11?
8
Suppose 12*s = s + 1056. Calculate the remainder when (-3 + 1)/(-2 - s/(-50)) is divided by 7.
4
Let s = 67 + -43. Suppose -2*j - 8 + 26 = 0. Calculate the remainder when s is divided by j.
6
Suppose 0 = 5*o, 2*x - 3*o - 20 = -2*x. Let q = 12 - x. Let j = -151 - -175. What is the remainder when j is divided by q?
3
Calculate the remainder when (-13)/((-624)/18) + (-22324)/(-32) is divided by 4.
2
Let a be -6*(3 - (5 - 1)). Suppose 206 - 56 = a*b. What is the remainder when b is divided by 16?
9
Suppose 10*f = 14*f - 8. Suppose -k = -4, -5*g + f*k + 3*k = -105. Suppose 28 = -14*m + 18*m. What is the remainder when g is divided by m?
4
Suppose 1190*c = 1194*c - 2776. Calculate the remainder when c is divided by 24.
22
What is the remainder when (-1)/3 - (-8680)/84 is divided by 57?
46
Let b = 13 - 4. Let n(m) be the third derivative of m**4/24 + 2*m**3/3 - m**2. What is the remainder when b is divided by n(0)?
1
Suppose 54 = 3*c + i - 260, 0 = c + i - 106. Calculate the remainder when c is divided by 15.
14
Let y be 52/3 + 4/(-1*12). Suppose -x + 3*k - 6 = 0, -x + 7 + y = 3*k. Let d = 10 + -4. What is the remainder when x is divided by d?
3
Let r be 3 - (8/4)/(-2) - 4. Suppose r = -f - 3 + 11. Calculate the remainder when 53 is divided by f.
5
Let u = 202 + -187. What is the remainder when 461 is divided by u?
11
Suppose -6*t + 748 = -824. Suppose -4*b + 257 = -b - i, -3*b = 4*i - t. What is the remainder when b is divided by 10?
6
Let c be 3*(-5)/30*0. Suppose -2*j + d + 20 = c, -4 = j + 2*d - 19. Suppose 0 = 2*l - 9 - 5. What is the remainder when j is divided by l?
4
Let t = 5 - 28. Let a = -20 - t. What is the remainder when 3 is divided by a?
0
Suppose 14*c - 19*c + 90 = 0. Calculate the remainder when ((-32)/(-4) + -4 - -44) + 4 is divided by c.
16
Let c be 6/3 + -1 + -1. Suppose -182 = -3*r - c*r + 4*m, 3*r + 4*m - 166 = 0. Suppose -9 = k - 24. What is the remainder when r is divided by k?
13
Let x(z) = -z - 1. Let y be x(-1). Suppose -3*m + y*m = -222. What is the remainder when m is divided by 38?
36
Let u be ((-5)/(-10))/(1/(-124)). Let l = u - -85. What is the remainder when l is divided by 4?
3
Let d = -169 - -185. What is the remainder when d is divided by 2?
0
Suppose -639 = -37*g + 1248. Calculate the remainder when g is divided by 15.
6
Suppose 0 = -26*v + 458 + 712. What is the remainder when 175 is divided by v?
40
Let r = 38 + 21. Suppose -14*u + 10*u = -48. What is the remainder when r is divided by u?
11
Let v = -195 - -357. Calculate the remainder when v is divided by 55.
52
Suppose 7*u - 507 = 613. Calculate the remainder when u is divided by 23.
22
Suppose 844 - 898 = -6*a. What is the remainder when 782 is divided by a?
8
Let a be (8/(-12))/((-2)/9). Suppose 2*w + a*w = 20. Suppose 0 = 4*m + 3*b - 175, w*m - 2*b + 3*b - 181 = 0. What is the remainder when m is divided by 16?
14
Calculate the remainder when (-12*3/15)/(6/(-135)) is divided by 28.
26
What is the remainder when 9/(-5 + 98/19) is divided by (-30)/(-4)*16/6?
17
Suppose 0 = -u + 5 + 6. Calculate the remainder when (-23)/(-69) + (-95)/(-3) is divided by u.
10
Let g = -44 - -49. What is the remainder when 267 is divided by g?
2
Suppose k + 17 = 6*k - 2*m, -3*k + 10 = -m. Suppose -k*p = p - 20. What is the remainder when p is divided by 4?
1
Suppose 5*p + 5*x = 70, 4*x + 2 - 10 = 0. Suppose 0 = g + 4*g + 3*b - 37, 4*b + p = g. Let j = -1382 + 1411. Calculate the remainder when j is divided by g.
5
Suppose 4*f = f + 189. Let s = f - -31. Calculate the remainder when s is divided by 32.
30
Suppose -1 = -2*m - 13. Let t = 10 + m. Suppose 3*w + 20 + 28 = t*x, 3*w = 12. What is the remainder when x is divided by 8?
7
Let b(w) = 38*w**3 + 3*w**2 - 3*w + 2. Let f(h) = -2*h**2 - 4*h + 1. Let y be f(0). Suppose -4*c = -3*c - 22. What is the remainder when b(y) is divided by c?
18
Let r(z) = z**3 - 4*z**2 + z + 5. Let i be r(4). Suppose i*m - 4*m = 140. Calculate the remainder when m is divided by 8.
4
Let p(x) = 2*x**3 + 36*x**2 + x + 54. What is the remainder when 101 is divided by p(-18)?
29
Suppose 0*p = -4*a - 4*p + 116, -4*a + 116 = 5*p. Suppose z = 122 - 36. What is the remainder when z is divided by a?
28
Suppose 2*i - 22 = -0*i. Let s(b) = 2*b + 52. Let v be ((-11)/2)/(10/20). Calculate the remainder when s(v) is divided by i.
8
Suppose -16*d + 14*d + 188 = 0. Suppose -4*v - 2*n = 26 - d, 0 = 3*v + 5*n - 65. What is the remainder when v is divided by 4?
3
Let y = 74 + -70. Let n(o) = o**3 - 5*o**2 + 5*o + 1. What is the remainder when 7 is divided by n(y)?
2
What is the remainder when 82 is divided by 1 + 166/8 + (-3)/4?
19
Suppose 6*a - 10 - 164 = 0. Calculate the remainder when a is divided by 6.
5
Let d(n) = 5*n**2 - 110*n + 216. Suppose 2*m + 3 = 11. Suppose 180 = -0*k + m*k. What is the remainder when k is divided by d(2)?
13
Let p be -16 + 12 