18 + 138 = 12*s. Suppose 2*a + 16 = -4*g, -3*a - 22 - 2 = 5*g. What is the remainder when s + -2 - (-2)/a*4 is divided by 4?
2
Let p(r) = 18*r - 3*r**2 + 12 + 25 - r**3 + 21*r**2. Suppose f = 49 + 1. Calculate the remainder when f is divided by p(19).
14
Suppose 3*j = -j - i - 13, -3*j = 4*i + 13. Calculate the remainder when 76 is divided by j + 10 + -4 + 1.
0
Suppose -3*o - 4*a = 2*o - 135, -2*o = -3*a - 54. Let l be 22/18 + -1 + (-426)/(-27). Let n = 64 + l. Calculate the remainder when n is divided by o.
26
Suppose 5*j - 1808 = -0*r - r, -5*j = 4*r - 1817. Let v = -215 + j. What is the remainder when v is divided by 22?
14
Suppose -3*z - 1 = -o, -8*o = -2*z - 3*o - 18. Let b be 1*(168/36 - z/(-3)). Suppose -b*w + 18 = -3*w. What is the remainder when 14 is divided by w?
5
Let x = 25 - -15. Let b = -33 + x. Suppose 5*j - b*j = -8. Calculate the remainder when j is divided by 4.
0
Suppose 26*h + 384 = 28*h - 2*x, -963 = -5*h + 2*x. Calculate the remainder when h is divided by 61.
10
Suppose -57*b - 2231 + 33313 + 37432 = 0. Calculate the remainder when b is divided by 67.
63
Suppose -3551 + 29603 = 39*b. What is the remainder when b is divided by 61?
58
What is the remainder when (23808/(-21))/((-384)/1344) is divided by 989?
12
Suppose 0 = -z + 3*r + 98, 3*r - 225 = -4*z + 107. Calculate the remainder when z is divided by 24 - (-1)/(1 + -2).
17
Let a = 62 - -59. Suppose -4*c = -5*b - a, -5*c - 28 + 158 = -2*b. Calculate the remainder when 474 is divided by c.
18
Suppose -1239 = 2*a - 2967. Calculate the remainder when a is divided by 3.
0
Suppose 0 = i - 5*m - 157, 0*i - m = 5*i - 863. Suppose -5*n - 7 = 3*g, 78 = 5*g + 4*n + 68. Calculate the remainder when i is divided by g.
4
Let d(m) = 225*m + 3390. Suppose 0 = 5*w - 446 - 69. What is the remainder when w is divided by d(-15)?
13
Calculate the remainder when 633 - 7/(-14)*-8 is divided by 107.
94
Let p(f) = -9*f. Let x be p(1). Let u = 11 + x. Suppose -5*g + 189 = -5*w + u*w, -4*g - w + 141 = 0. Calculate the remainder when 107 is divided by g.
35
Let p = -8984 + 9071. Calculate the remainder when 183 is divided by p.
9
Suppose 5*d + 38 = 673. Let n = d + -122. Calculate the remainder when 14 is divided by n.
4
Suppose 5*y + 29 - 4 = 0, 5*c = -4*y - 5. Suppose 0 = -8*l + c*l + 215. Calculate the remainder when l is divided by 20.
3
Let b be 9/21*164 + 30/(-105). Let s = b + 3. What is the remainder when s is divided by 26?
21
Suppose 42 = -405*d + 412*d. Let c = 14 + -7. Suppose c*j - 13 = d*j. Calculate the remainder when 49 is divided by j.
10
Let x(g) = 2*g**2 - 34*g + 6. Let y be x(11). Calculate the remainder when 271 is divided by ((-184)/6)/(56/y).
64
Let a = 12561 - 11459. Calculate the remainder when a is divided by 6.
4
Let r = -55 - -60. Suppose 0 = -5*z + 3 - 23, -760 = 5*d + r*z. What is the remainder when 1/((-2)/d) - (-2 + 5) is divided by 15?
11
Let z = -7043 + 7073. What is the remainder when 174 is divided by z?
24
Let g(k) = 10*k + 114. Let h be g(-12). Let r(q) = 3*q**2 + 6*q - 9. Let j = 3 + 13. What is the remainder when r(h) is divided by j?
15
Let p = -14026 + 14482. What is the remainder when p is divided by 42?
36
Suppose 4*l + 80 = 2*i, 19 = -4*i - 5*l + 114. What is the remainder when 450 is divided by i?
0
Let v = -452 + 561. Calculate the remainder when v is divided by 27.
1
Let o = 32 + -28. Let q = 349 - 347. Calculate the remainder when o is divided by q.
0
Suppose 14*f - 420 = -7*f. Suppose -4*g + 406 = 5*a - 73, g - 4*a - 146 = 0. Let p = 204 - g. What is the remainder when p is divided by f?
18
Let q be -3 - (0 - 8)*1. Suppose -5*m + 15 = -x - 3*x, -q*x - 9 = -3*m. Let o(r) = -r**2 + 7*r - 11. Calculate the remainder when 3 is divided by o(m).
0
Let x = 55086 + -54894. Suppose 20 = 4*a + h, 3*h + 25 = 5*a + h. What is the remainder when x is divided by a?
2
Let z(f) be the second derivative of f**5/20 - f**4/12 - f**2/2 - f. Suppose 107 - 41 = 33*v. What is the remainder when 11 is divided by z(v)?
2
Let a = 13014 - 7240. What is the remainder when a is divided by 170?
164
Suppose 36*j - 263 - 619 = -27*j. Calculate the remainder when 891 is divided by j.
9
Suppose -388 - 508 = -70*h - 196. What is the remainder when 708 is divided by h?
8
Let g(m) = -m**3 - 26*m**2 - 49*m - 28. Let v be g(-24). What is the remainder when (-4)/v*2 - -83 is divided by 36?
13
Let k(m) = 9*m**2 - 34*m - 63. What is the remainder when k(-3) is divided by 1313/39 - 1/(-3)?
18
Let o(u) = -21*u - 8. Let j be o(-13). Let w = j - 151. Calculate the remainder when w is divided by 39.
36
Let r be (((-2)/(-1))/(-2))/(10/(-590)). Let p = -103 + r. Let w = -39 - p. What is the remainder when 11 is divided by w?
1
Let m(z) = -2*z**3 + 7*z**2 + 3*z + 1. Let y be m(6). Let v = y + 186. What is the remainder when 58 is divided by v?
8
Let k be (-1)/(-2) - 37/(-2). Let v(p) = -671*p + 218. Let i(q) = -175*q + 54. Let u(c) = -23*i(c) + 6*v(c). Calculate the remainder when u(k) is divided by 10.
7
Suppose -y - 60 = -59, s + 4*y - 37 = 0. What is the remainder when 219 is divided by s?
14
Let y(f) = 90*f**2 - 2*f - 1. Let i be y(-1). Suppose 2*w = i + 85. What is the remainder when w is divided by 24?
16
Suppose 3*n = 4*c - 342 - 43, 2*n + 290 = -4*c. Let u = n - -168. Calculate the remainder when 89 is divided by u.
23
Let y(q) = 276 - 276 + 2*q + q**2. Calculate the remainder when 40 is divided by y(-3).
1
Suppose 0 = 117*y - 108*y - 18. Let b be 0/(1*(-3)/3). Suppose b = 3*f + 3*p - 3, 0*p + 4*p = -2*f - 4. Calculate the remainder when f is divided by y.
0
Suppose -4*m + 2*m + 6 = 4*o, -2*o = -5*m - 9. Suppose -o*f + 3*f - 128 = -4*g, 3*f = 4*g - 128. What is the remainder when 90 is divided by g?
26
What is the remainder when 117 is divided by 6 + (4 - 7)*1?
0
Let h be (-2)/((-42)/18 - -3). Let x be ((-4)/(-3))/(-1 + (-5)/h). Suppose 4*p + 4*f - 28 = 0, -x*f - 12 = -5*f. Calculate the remainder when p is divided by 1.
0
Suppose -2*b = 3*m - 107, -146 = -4*m - b + 5. Calculate the remainder when 38 is divided by 832/m - (-2)/(-6).
17
Suppose 50*v - 21*v - 464 = 0. Let r(s) = 10*s. Let y be r(2). Calculate the remainder when v is divided by 125/y - 2/8.
4
Suppose 7*n = -5*u + 1567, n + 1040 - 79 = 3*u. Calculate the remainder when u is divided by 142.
35
Let n = -311 - -378. Suppose -9*q = -2*k - 11*q + 126, 5*q - n = -k. What is the remainder when 119 is divided by k?
57
Suppose 11795*m - 11764*m - 8897 = 0. Suppose -u - u + 116 = 0. Calculate the remainder when m is divided by u.
55
Let m(k) = 7*k**2 - 12*k - 235. Calculate the remainder when m(-10) is divided by 42.
39
Let v = 25 - 22. Suppose v*q = 2*n + 49, 3*n + 48 + 28 = 5*q. Let f = n + 40. What is the remainder when f is divided by 7?
2
Let d be 6*(-5)/(-60)*-2. Let g be (0 + 0)/(d/1). Suppose -3*x + 12 = g, w = -w - x + 18. What is the remainder when 23 is divided by w?
2
Suppose -1248 = -56*f + 54*f. Suppose 0 = 4*l - 100 - 300. What is the remainder when l is divided by (27/18)/(18/f)?
48
Suppose -2*q - t + 810 = 297, q - 5*t - 240 = 0. Let m = 474 - q. What is the remainder when m is divided by 20?
19
Let b(z) = -5*z**3 + 4*z - 17 + 5*z**2 - 12*z - 3*z**3 + 9*z**3. Let v be b(-6). Let n(g) = 2*g + 11. What is the remainder when 2 is divided by n(v)?
0
Let h = 501 + -441. Suppose -8 - h = -f - 5*i, -4*f = 3*i - 187. Calculate the remainder when 210 is divided by f.
38
Let b = -5146 + 5169. Calculate the remainder when 407 is divided by b.
16
Suppose 2*k = 2*z - 7*z + 3, -5*z = 5*k. What is the remainder when z/4 - (-7125)/60 is divided by 30?
29
Let t(s) = 13*s**2 - 4*s - 3. Let k(o) be the first derivative of -o**3/3 + 5*o**2/2 - o - 12. What is the remainder when t(2) is divided by k(3)?
1
Let u be (-3)/(-4) + 400/64. Let w(q) = -q**3 + 12*q**2 - 12*q - 2. Calculate the remainder when w(u) is divided by 54.
51
Let x(g) = -g**3 - 45*g**2 - 2*g - 68. Let s be x(-45). Suppose 2*w = 5*z + 8, -2*z = -4*w + 5*w - s. Calculate the remainder when 279 is divided by w.
13
Let x(t) = -7*t + 1. Let g be x(-14). Let q be (-4)/6 - (-561)/g. Suppose q*c - 9*c + 64 = 0. Calculate the remainder when 27 is divided by c.
11
Let m be 4/(-3) - (8 + 2872/(-12)). Suppose 229*p - m*p + 52 = 0. Calculate the remainder when p is divided by 19.
