 a, -20 = -4*i - 5*a. Suppose i*d + 2*d = 14. What is the remainder when 27 is divided by d?
6
Suppose 4 + 60 = 4*y. Let s be 5/20 + (-6756)/(-48). Suppose -4*t + 565 = -5*a + 2*a, -t = -a - s. Calculate the remainder when t is divided by y.
14
Let b(d) = -4*d**2 - 70*d - 120. Calculate the remainder when 379 is divided by b(-14).
75
Let q = 38 - 38. Let f = q - -1. Suppose -k + f = k - h, -3*k + 24 = 3*h. What is the remainder when 8 is divided by k?
2
Let g = 9009 - 8988. What is the remainder when g is divided by 3?
0
Suppose -5*y + 22 = -4*w, -w = -2*y - 6*w + 22. Let o be (-2)/y - (-100)/12. What is the remainder when 63 is divided by o*(5 - 2)*8/12?
15
Let v = 11 + -8. Suppose -4*g + 0*g = -3*j - 7, -g = 4*j + v. Suppose 6*q - s = q + 11, -5*s = 3*q - 1. Calculate the remainder when q is divided by g.
0
Let h = 3914 + -3895. What is the remainder when 318 is divided by h?
14
Let i = 22263 - 21310. Calculate the remainder when i is divided by 60.
53
Let u = 438 + 431. What is the remainder when u is divided by 174?
173
Suppose 10*l = 22 + 8. Suppose -3*q + 3 = -l*k, -4*q + 5*k = -7*q - 13. Calculate the remainder when (20/200)/(q/6)*-30 is divided by 3.
0
Suppose 0 = -76*d + 64*d + 120. Calculate the remainder when 7956 is divided by d.
6
What is the remainder when 902 is divided by 294/196*(-76)/(-3)?
28
Suppose c - 3*w + 34 = 0, -2*c - 3*w - 4 = -c. Let v = c + 41. What is the remainder when (-190)/(-3) - -1*20/30 is divided by v?
20
Calculate the remainder when (352/64)/((-4)/(-184)) is divided by 4.
1
Suppose 0 = 8*v - 5*v + n - 54, v - 2*n = 4. What is the remainder when 275 is divided by v?
3
Let x(v) = -44*v**3 - 13*v**2 - 97*v + 51. What is the remainder when x(-5) is divided by 112?
111
Suppose -79*v = -110*v + 403. What is the remainder when 14153 is divided by v?
9
Let j(n) = -9*n**3 + 557*n**2 + 69*n + 84. Calculate the remainder when j(62) is divided by 186.
146
Let k = 592 + -595. What is the remainder when (7 + k - -42)*2 is divided by 32?
28
Let r = -600 - -888. Let h = 306 - r. Calculate the remainder when 194 is divided by h.
14
Suppose -6*h + 0 = -12. Let p(j) = -2*j**h - j + 8 + j**2 + 0 + 22. Calculate the remainder when 117 is divided by p(0).
27
Let q(w) = -17*w + 771. Calculate the remainder when q(16) is divided by 172.
155
Suppose -m - 979 = -0*j - 2*j, -1471 = -3*j - m. Calculate the remainder when j is divided by 131.
97
Let r = -1333 + 1368. Calculate the remainder when 78 is divided by r.
8
Suppose 0 = 5*b - b + 40. Let m(y) = -y - 1. Let x = 2855 + -2768. What is the remainder when x is divided by m(b)?
6
Suppose -3*y = b - 5426, -72*b - 3*y = -68*b - 21758. What is the remainder when b is divided by 45?
44
What is the remainder when 200 is divided by -5*(-37)/(-10)*-2?
15
Let s(c) = -5*c**2 - c + 84. Let u be s(13). What is the remainder when 9 - (-47)/(-5) - u/10 is divided by (-2 - -2) + 21*1?
14
Suppose -2*i + 10 + 2 = 0. Let n(u) = 5*u**2 - 10*u + 0*u**2 + u**2 + i - 7*u**2. Calculate the remainder when n(-3) is divided by 7.
6
Suppose 0 = -2*p + 3636*m - 3639*m + 6633, 5*p - 16572 = 3*m. Calculate the remainder when p is divided by 42.
39
Let d = 495 - 118. Suppose 4*g = -d + 1. Let o = -57 - g. What is the remainder when o is divided by 10?
7
Let q(h) = -3*h**2 + h + 20. What is the remainder when 1552 is divided by q(0)?
12
Let d(p) = -p**3 - 5*p - 3*p**2 - 8*p - 4 - 3*p**2 + 5*p. Suppose 166*z - 5097 = 5507 + 3340. What is the remainder when z is divided by d(-5)?
7
Suppose -2*z + 33 = 2*c - 3, -2*z - 90 = -4*c. Suppose 6*u - 9 - c = 0. Let d = 23 - 20. What is the remainder when u is divided by d?
2
Suppose 3*z = -4*s + 170 + 275, s + 587 = 4*z. Let t = z + -122. What is the remainder when t is divided by 5?
0
Let c(a) = -3*a + 188. Let v be c(-23). Let y = 269 - v. Calculate the remainder when 45 is divided by y.
9
Suppose 3*i - 56 = 4. Let g = -17 + i. What is the remainder when 4 + 2 - (-36 + 21) is divided by g?
0
Let j = -5944 + 6019. Calculate the remainder when 1049 is divided by j.
74
Suppose 6*w - 2*w - 24 = -2*d, d - 5*w + 9 = 0. What is the remainder when ((-62)/36 - d/(-27))*-18 is divided by 3?
0
Let r(x) = -2*x + 6. Suppose 2*g + 2*t + 12 = -0*t, g + 2*t + 7 = 0. Let a = 57 + 36. Calculate the remainder when a is divided by r(g).
13
Suppose 518 - 446 = -6*f. Calculate the remainder when 47 is divided by (9 - f)/((-6)/(-4)).
5
Suppose 4*f - 112 = 4*l, -2*f = 5*l + 9 - 58. Calculate the remainder when 277 is divided by f.
7
Let g(n) = -101*n - 2 + 44*n + 44*n. What is the remainder when g(-9) is divided by 30?
25
Suppose 7 = -f, -5*k + 356 = 18*f - 16*f. What is the remainder when 13018 is divided by k?
68
Let p(h) = 54*h**2 - 445*h - 38. Calculate the remainder when p(13) is divided by 118.
117
Let g(t) be the third derivative of 0 - 1/4*t**4 + 0*t + 1/2*t**3 + 1/120*t**6 + 1/15*t**5 + 16*t**2. What is the remainder when g(-4) is divided by 17?
10
Calculate the remainder when ((-31538)/(-52))/(5/10) is divided by 302.
5
Let f = 3095 - 3048. What is the remainder when 1635 is divided by f?
37
Let f(z) = 4 - 5 + 3*z - z - 18. Let g be f(8). What is the remainder when (44*(5/(-2) - g))/1 is divided by 13?
9
Calculate the remainder when 18/12 + (-2278)/(-68) is divided by 15.
5
Suppose 43*s - 248 = 39*s. Let v = s + -60. Suppose f = -2*a + 18, 2*a = -v*f + 8 + 6. Calculate the remainder when a is divided by 4.
3
Let u = -89 + 94. Let s = -24 + 27. Suppose -5*h + 135 = -5*y, -h + s*y + 36 = -y. What is the remainder when h is divided by u?
4
Suppose -138 = -2*u + 12. Suppose 0*b + u = 5*b. Suppose b*i = -568 + 1933. Calculate the remainder when i is divided by 23.
22
Suppose 3*y - 4*k = 270, 181*y + 2*k = 182*y - 96. What is the remainder when 372 is divided by y?
60
Let p = -55 - -240. Suppose 8*r - 87 = p. Suppose -l = -4*i - 5, -20 = 2*l - 6*l - 2*i. Calculate the remainder when r is divided by l.
4
Suppose 4*d + 4*a - 580 = 2*a, -421 = -3*d - 5*a. Suppose 3*u + d = 4*g, -u + 0*u - 38 = -g. Let l = -3 + g. Calculate the remainder when l is divided by 8.
6
What is the remainder when (-25571)/(-117) + (-56)/(-126) is divided by 29?
16
Suppose 10*d - 7*d - 645 = 0. What is the remainder when d is divided by (18/8)/9*(136 + -28)?
26
Suppose 41*j = 44*j - 2*q - 1363, 5*q = 4*j - 1822. What is the remainder when j is divided by 13?
11
Let t(x) = -597*x + 15. Let w(j) = j**3 + 26*j**2 + 48*j + 3. Let f be w(-24). Let r be t(f). Calculate the remainder when 2/(-5) - r/15 is divided by 15.
13
Let t(r) = 13*r - 3. Let q(v) = 4*v + 97 - 94 - 6*v - 11*v. Let b(y) = -4*q(y) - 3*t(y). Calculate the remainder when 65 is divided by b(2).
19
Let o(k) = -403*k + 2835. What is the remainder when o(3) is divided by 12?
6
Suppose -850 = -43*t + 41*t. Let h = t - 393. What is the remainder when 123 is divided by h?
27
Let t be 110/8 - (1 - (-40)/(-32)). Suppose 5*u - 11 - t = 0. Suppose -2*m + u*l + 20 = 0, 5*m + l - 10 = 4*m. Calculate the remainder when m is divided by 6.
4
Suppose -5372 = -38*i + 8460. What is the remainder when i is divided by 62?
54
Suppose -45 = -c + 4*n - 18, -2*c = 2*n - 84. Calculate the remainder when 2881 is divided by c.
34
What is the remainder when 961 is divided by (-5296)/(-144) - 4/(-18)?
36
Suppose 857 - 1325 = -45*x + 2862. Calculate the remainder when 5326 is divided by x.
72
Let k be 6/4 - 4/(-8). Suppose 2*b + 3*r = -k*r + 330, 0 = -5*b + r + 825. Suppose 3*w + b = 8*w. What is the remainder when w is divided by 9?
6
Let d = -11957 + 30374. Calculate the remainder when d is divided by 60.
57
Suppose -163122 + 163986 = 72*p. What is the remainder when ((-5)/10)/(1/(-1462)) is divided by p?
11
Suppose -14*v + 23*v = 36. Suppose 2*m - 1242 = -2*c, -v*m + 8*c - 6*c = -2460. Suppose m = 14*z - 167. What is the remainder when z is divided by 29?
27
Let x(p) = p**2 + 26*p + 182. Calculate the remainder when 275 is divided by x(-28).
37
Let g = 12209 + -11879. Calculate the remainder when 683 is divided by g.
23
Let m = 24 - 24. Suppose m = 10*b - 3*b - 70. What is the remainder when 28 is divided by b?
8
Let m = 126 - 61. Suppose a = -0 + m. What is the remainder when a is divided by 26?
13
Suppose -15 = -2*w + 7*w. What is the remainder when 539 is divided by 5 - (-46 + w