 2*n = 127. Let f = -1 + 3. Suppose f*b - 11 = b. Calculate the remainder when g is divided by b.
10
Suppose 6695*u + 4*g + 12 = 6695*u, 0 = -u - 5*g + 14. Suppose -151 = -3*s - 5*o, 6 = -4*o - 10. Let y = s - 3. What is the remainder when y is divided by u?
25
Let o be (-14)/(5 + (-4 - -1)). What is the remainder when 40 is divided by (-3 - -6) + o + 27?
17
Suppose -62*q - 23838 + 432294 = 62*q. Calculate the remainder when q is divided by 16.
14
Suppose 2*l + 5*y - 76 = 0, 5*y = 5*l - 4*l - 8. Suppose -3*z = -3*s - 1185, 0 = -8*z + 3*z + s + 1959. What is the remainder when z is divided by l?
27
Let x(k) = 2*k**3 - 23*k**2 - 6*k + 42. Calculate the remainder when 454 is divided by x(12).
112
Let i(v) = -2*v - 1438*v**2 - 2*v + 4 + 1441*v**2. Let c be 2/(-7) + 23/7. What is the remainder when 54 is divided by i(c)?
16
Let p = 93 + -48. Suppose 4*v - 26*v = 0. Suppose -212*b + 210*b + 32 = v. Calculate the remainder when p is divided by b.
13
Calculate the remainder when 390 is divided by -9 + 112 + 7 + -12.
96
Suppose -63 = -2*z - c, 3*z + 4*c - 153 + 66 = 0. Suppose 3*x = 4*x - 35. Calculate the remainder when x is divided by z.
2
Let x(a) = 2*a**2 - 176*a + 106. What is the remainder when x(-40) is divided by 79?
76
Suppose 3*a + 3 = 0, -a + 25 = 2*c - 2*a. Suppose -488 = 5*q - 798. Calculate the remainder when q is divided by (-32)/(-6)*(c + -6).
30
Suppose 20*l + 8*l - 896 = 0. What is the remainder when 85 is divided by l?
21
Let g = -891 - -1727. Calculate the remainder when g is divided by 60.
56
Let o(n) = 51*n**2 - n + 7. Let g be o(2). Suppose 4*y + 21 - g = -2*z, 234 = 5*y + 2*z. Calculate the remainder when 82 is divided by y.
36
Suppose 27*k - 29680 = -113*k. Calculate the remainder when 432 is divided by k.
8
Let t = -6964 - -7197. Calculate the remainder when 935 is divided by t.
3
Suppose n - 4*f = -0*n + 140, -n - 4*f + 116 = 0. Suppose -255 = 123*x - n*x. Calculate the remainder when 62 is divided by x.
11
Suppose 372 = 5*s - 918. Suppose 22*c - 4*c = 468. What is the remainder when s is divided by c?
24
Suppose y + 3*q - 68 = -66, -4 = 4*q. Suppose -a + y*o = -4, 3*a - 83 + 7 = -o. Let s = 14 - 1. What is the remainder when a is divided by s?
11
Suppose -4*u = -4*q - 0*u - 492, 5*u + 225 = -2*q. Let x = q - -135. Calculate the remainder when 103 is divided by x.
13
Let g(n) = -54*n - 4. Suppose -11*u + 10*u = 2. Let s be g(u). Suppose 0 = -5*m + 4*a - s + 293, -m - a + 45 = 0. What is the remainder when 81 is divided by m?
40
Let i be (-42)/(-24) - (-3 - 66/(-24)). Let s = -11 - -44. Suppose -i*a + s + 13 = 0. What is the remainder when a is divided by 6?
5
What is the remainder when (-3)/(-12) + 1190/8 is divided by ((-460)/40 + 11)/((-4)/312)?
32
Let u(t) = 33*t + 6. Let l(f) = -32*f - 7. Let o(g) = 4*l(g) + 5*u(g). What is the remainder when o(4) is divided by 51?
48
Suppose -4*h + h + 95 = -x, 4*h + 5*x = 152. Suppose 13*r = i + 4*r - 92, 3 = -r. What is the remainder when i is divided by h?
32
Let v = 262 - 185. Suppose -7*s + 518 = v. What is the remainder when s is divided by 14?
7
Let j = -113 - -117. Let m be (j/12)/((-2)/36). Let f(w) = -14*w + 19. Calculate the remainder when f(m) is divided by 13.
12
Let f = -25595 + 25609. Let i = -1 - -1. Suppose q - 5 + 0 = i. What is the remainder when f is divided by q?
4
Let x = -76 - -95. Suppose -4*n + 89 + x = 0. Calculate the remainder when 72 is divided by n.
18
Suppose 0 = f - 4*h + 4 - 30, 3*f - 3*h = 42. Suppose -4*q - 4*c = -8, 4*q - 2*c = 10 + f. Calculate the remainder when 15 is divided by q.
3
Suppose 20*h = 24*h - 24. Suppose -2*j - h*p + 10 = -11*p, 0 = j - p - 8. Suppose 140 = 5*s - s. Calculate the remainder when s is divided by j.
5
Let t = -35 + 23. Calculate the remainder when 176 is divided by (-1*(-2)/(-4))/(t/1128).
35
Let n(y) = 2*y + 53*y**2 - 136*y**2 + 51*y**2 + 43*y**2 - y**3 + 1. Calculate the remainder when n(11) is divided by 11.
1
Suppose 17*a - 12*a = 20. Let k(v) = v**2 - 8*v + 2. Let t be k(8). Suppose -a*i = t*w - 30, 3*w - 5*i = 2*w + 8. What is the remainder when w is divided by 7?
6
Let l = 7003 - 6961. Suppose -3*w + 71 = 17. What is the remainder when l is divided by w?
6
Let t = 23 + -4. Let i(b) = b + 28. Let d be i(-25). Suppose 4*x - d*x - 2*z = 63, -208 = -4*x - 3*z. Calculate the remainder when x is divided by t.
17
Let c(f) = f**3 + 10*f**2 - 11*f - 96. Let d be c(-10). Let q be ((-66)/(-15) + -3)*5. Let i = d - q. What is the remainder when 34 is divided by i?
6
Let b be 314/(-4)*(-10)/5 + 0. Let i = -139 + b. What is the remainder when i/42 + (-327)/(-21) is divided by 5?
1
Let q be (12/(-6) - -5)/((-1)/(-3)). What is the remainder when 11 is divided by q*1 - (7 - 6)?
3
Let t be ((-4)/8 - -1)*-6*25. Let c = t + 77. Suppose c*g - 18 = -4. What is the remainder when 7 is divided by g?
0
Let y(q) = q**2 + 4*q - 26. Let n be y(3). Let h = n + 74. Calculate the remainder when h is divided by 26.
17
Suppose -4*q = -118 + 22. Suppose 0 = 2*s + 2, -25 - 3 = -r - s. Calculate the remainder when 224/(-2)*(-18)/q is divided by r.
26
Suppose -2*p - 132 - 126 = -5*c, -p + 135 = 3*c. Calculate the remainder when 3983 is divided by c.
47
Suppose -3*k - 35 = -4*k. Let a(l) = l**2 - 638*l - 10369. Calculate the remainder when a(-16) is divided by k.
25
Let l(s) be the first derivative of -9*s**2/2 + 97*s + 142. What is the remainder when 256 is divided by l(6)?
41
Suppose 15*d = d + 70. Suppose -5*b + 28 + 12 = 0. Let l = 2 + b. What is the remainder when l is divided by d?
0
Let k = -28 + 76. Suppose 167*i + 251*i - 8235 = 113*i. What is the remainder when k is divided by i?
21
Let m = 386 + -21. Suppose 0 = -4*t + 5*y + m, 5*t - y - 3*y = 445. Let b = -52 + t. What is the remainder when 94 is divided by b?
28
Suppose -k = 5*r - 2919, 65*r - 68*r + 1765 = 4*k. Calculate the remainder when r is divided by 113.
18
What is the remainder when 10/((-1 - -2)/2) is divided by (-2)/(-95) + 2204264/276260?
4
Let x = -7598 - -7766. What is the remainder when x is divided by 3?
0
Calculate the remainder when (14 + -8)*(377/6 + 2) is divided by 26.
25
Suppose -3*c + 6 = -4*c. Let h be (16/c)/(26/(-39)). Suppose -x - 2*i = -2*x + 39, h*x = 2*i + 156. What is the remainder when x is divided by 20?
19
Calculate the remainder when ((-18)/(-2))/(-16*48/(-37376)) is divided by 68.
30
Let s(k) = -466*k + 193. Calculate the remainder when s(-1) is divided by 107.
17
Suppose -10 = 34*g - 35*g. Let z(n) = -n**3 + 100*n + 385. Calculate the remainder when z(-4) is divided by g.
9
Suppose 4*d = 8, 3*x - 27 + 1 = -d. Suppose 7 = x*s - 9. Suppose s = 2*y - y. What is the remainder when 8 is divided by y?
0
Suppose 3*s - 171 = 204. Suppose -30*y + 736 = -224. Calculate the remainder when s is divided by y.
29
What is the remainder when 259 is divided by ((-494)/(-195))/19 - 1976/(-30)?
61
Suppose -4*h + 23 = 15, 3*z + h - 3719 = 0. Calculate the remainder when z is divided by 20.
19
Let g(t) = -t**3 - 7*t**2 + 9*t - 2. Let n be g(-9). Let v = n - 75. Suppose m = v*m - 48. What is the remainder when 93 is divided by m?
13
Let f = 20214 - 16075. What is the remainder when f is divided by 45?
44
Let d = -3169 - -3378. Calculate the remainder when 456 is divided by d.
38
Let q = -21 + 84. Let x = q - 13. Suppose 4*m = 2*m + x. What is the remainder when 72 is divided by m?
22
Let d(t) be the third derivative of -7/3*t**3 + 17*t**2 - 7/6*t**4 + 0*t + 0. Calculate the remainder when d(-3) is divided by 12.
10
Suppose n = 6, -r + 5*n = -7 + 24. Calculate the remainder when 3205 is divided by r.
7
Calculate the remainder when 10*(1392/15 + 396/55 + -7) is divided by 17.
12
Suppose 4*o + 2*v - 1245 = 8819, -5*o = -2*v - 12607. What is the remainder when o is divided by 180?
179
Suppose 0*o + 12 = 4*o. Suppose c - 7 = l + o*l, 3*c - 5*l - 21 = 0. Calculate the remainder when ((-30)/(-9))/(12 - 7423/624) + 6 is divided by c.
3
Let b = -18 + 99. Suppose a = 4*y - 0*a - b, 0 = 2*a + 2. What is the remainder when 117 is divided by y/(9/((-27)/(-2)))?
27
Let y = 0 + 3. Suppose -y*b + 2*p = -70, 5*b - 5*p - 80 = 30. Calculate the remainder when (-40)/8*(51*1/(-5) - 0) is divided by b.
25
Suppose 2219 = 10*a + 1969. What is the remainder when 30 is divided by a?
5
Let o = -1594