*t. Let r be (-2)/(7/(-5) - -1). Let a = r - -2. Calculate the remainder when a is divided by t.
1
Let w(x) = 10*x**2 - 94*x + 13. What is the remainder when w(11) is divided by 97?
92
Let q(y) = 38*y - 1. Suppose 6*g - 71 = 43. Calculate the remainder when q(3) is divided by g.
18
Suppose -p = -2*b + 1 - 2, 0 = 5*p - 2*b - 21. Calculate the remainder when 84 is divided by p.
4
Suppose -2*n - 4*x + 283 = -43, -4*n + x + 616 = 0. Calculate the remainder when n is divided by 71232/2736 - (-2)/(-57).
25
Let h be (-2)/4 + (-15)/(-6). Suppose 7*d = h*d + 30. What is the remainder when -3 + 6 + 0 + 7 is divided by d?
4
Suppose 4*r = -3*g + 17, 3*r - 7*r = -4*g + 4. Suppose -g*n = -55 - 47. Calculate the remainder when n is divided by 19.
15
Let f be 2 + 1/((-1)/2). Suppose f = q - 4*q - 3. Calculate the remainder when 23 is divided by -4 + (q - -7) - -4.
5
Let d = -9 + 29. What is the remainder when 58 is divided by d?
18
Suppose 0 = 6*i + 17*i - 38*i + 45. Calculate the remainder when 27 + 0*(-1)/(-2) is divided by i.
0
Let c(w) = w**3 - 4*w**2 - w + 3. Let m be c(4). Let b = 4 + m. Let n = 29 + -20. What is the remainder when n is divided by b?
0
Let b = 10 + -6. Suppose -22 = -2*t + 3*f, -20 = f + b*f. Let x = 866 - 847. What is the remainder when x is divided by t?
4
Suppose 3*v + 23 = 4*v. Let u = -23 + 12. Let f = 57 - u. Calculate the remainder when f is divided by v.
22
Let v(j) = -j**3 + 12*j**2 - 18*j + 56. What is the remainder when v(9) is divided by 18?
11
Calculate the remainder when 83/((-81)/(-10) - 8) + 7 is divided by 30.
27
Let h(g) = g**3 - 9*g**2 + g. Let u be h(9). Let r be 0/2 + -6 + u. Suppose 6*p - r*p - 9 = 0. Calculate the remainder when p is divided by 1.
0
Let o(w) = w**3 + 6*w**2 - 26*w - 81. Calculate the remainder when o(-6) is divided by (-9 + 3)/((-4)/26).
36
Calculate the remainder when (-1)/2*-10 - (-167 + -7) is divided by 65.
49
Let q = 2 + 40. Suppose 6*g + 144 = -6*g. Let a = 23 + g. What is the remainder when q is divided by a?
9
Suppose 124*x = 113*x + 253. Calculate the remainder when 942 is divided by x.
22
Suppose 0 = -a + 166 + 208. Calculate the remainder when a is divided by 97.
83
Suppose 4*f - 82 = -2*p, 126 = 9*p - 6*p + 5*f. Calculate the remainder when 294 is divided by p.
12
Calculate the remainder when 36 is divided by ((-33)/(-44))/(-1 + 321/312).
10
Let x = 16 - 1. Let h be (-8 - (1 + -3))*2. Calculate the remainder when x is divided by 0 - h - 1 - 3.
7
Suppose 2*v - d - 50 = 3*d, 3*v + d = 103. Let q = v - 24. What is the remainder when 35 is divided by q?
8
Suppose 48 = 3*u - 5*z, -2*u + 64 = 2*u + 3*z. Suppose 4 + 14 = 3*n. What is the remainder when u is divided by n?
4
Let y(t) = -t. Let b(m) = m**3 - 5*m**2 - 8*m - 3. Let s(u) = b(u) - 5*y(u). Calculate the remainder when s(6) is divided by 3.
0
Let x = -21 + 17. Suppose -k - c = -68, -290 = -4*k - 3*c + 8*c. Calculate the remainder when k is divided by (-9)/(((-2)/x)/(-1)).
16
Suppose -210 + 139 = b. Let f = 76 + b. Let o(w) = w + 12. Calculate the remainder when o(0) is divided by f.
2
Suppose 5*p - 1111 = 8*o - 4*o, 673 = 3*p - 4*o. Calculate the remainder when p is divided by 7.
2
Let d = -95 + 134. Let h = 76 - d. Suppose 3*i - 5 = 34. What is the remainder when h is divided by i?
11
Let a = 374 + -360. Calculate the remainder when 1131 is divided by a.
11
Calculate the remainder when 153/6*(84/(-18) + 6) is divided by 25/2*(-8)/(-10).
4
Let f be 11 - 0/(-1 - 0). Suppose -5 = -d + f. Calculate the remainder when 62 is divided by d.
14
Let j(m) = m**2 - 7*m - 12. Suppose 12*v - 5*v = 259. Let o = v - 28. Calculate the remainder when 29 is divided by j(o).
5
Suppose -73*c - 76 = -77*c. Calculate the remainder when 56/10*(14 + -4) is divided by c.
18
Let l = -44 + 50. Suppose -4*v + l = -54. Calculate the remainder when 25 is divided by v.
10
Let m(r) = 5*r**2 + 5*r - 14. Suppose -3*h - 85 = -2*p, -p = -4*h - 36 + 1. Calculate the remainder when m(-6) is divided by p.
42
Suppose 22*v - 24*v + 64 = 0. Calculate the remainder when 121 is divided by v.
25
Suppose -4*v + 5*z + 18 = 4*z, -18 = -2*v - 4*z. Suppose 4*h + 11 = v*h. Calculate the remainder when 31 is divided by h.
9
Suppose -x + 156 = 3*x. Let g = 117 - 108. Suppose 30 = g*c - 6*c. Calculate the remainder when x is divided by c.
9
Suppose 5 = 48*o - 47*o. Calculate the remainder when 957 is divided by o.
2
Let i(q) = 57*q + 12. What is the remainder when i(2) is divided by 33?
27
Let f be (-33)/(-22) + 278/(-4). Suppose -2*r - 30 = 54. Let v = r - f. Calculate the remainder when v is divided by 14.
12
Suppose -10*y = y - 693. Let z = -10 + y. Calculate the remainder when z is divided by 27.
26
Suppose -16 + 706 = 138*r. What is the remainder when 1/(-1 - (-26)/24) is divided by r?
2
Suppose 2*g - 8 = -2*g. Calculate the remainder when 7/2*(3 - -1) is divided by (1 - -1 - -1) + g.
4
Let u = -518 + 553. Let f = -136 - -237. Calculate the remainder when f is divided by u.
31
Suppose -15 = -a - 0*a. Let g = 98 + -50. Suppose -3*r + 4*h = r - 160, -3*h = r - g. What is the remainder when r is divided by a?
12
Let b = 403 + -202. Suppose 5*t - b = -3*k, 0*k + 3*k + 33 = t. What is the remainder when t is divided by 14?
11
Suppose -374 + 401 = d. What is the remainder when 255 is divided by d?
12
Let k(r) = -r - 2. Let b = -26 + 14. Let v be k(b). Suppose -25 - v = -5*x. Calculate the remainder when 12 is divided by x.
5
Let p = 179 - 166. Let a(w) = 6*w - 57. Calculate the remainder when 123 is divided by a(p).
18
Suppose 0 = 25*t - 4*t - 567. Let a(y) = 3*y**2 - 3*y. What is the remainder when t is divided by a(2)?
3
Suppose 32*h - 118 = 714. What is the remainder when 285 is divided by h?
25
Suppose -1210 = 16*s - 20*s - h, -917 = -3*s + 4*h. Calculate the remainder when s is divided by 3.
0
Let a(v) = -7*v - 12*v - v**3 - 11*v**2 + 5*v - 1. Calculate the remainder when a(-10) is divided by (-2 - 0) + (23 - 0).
18
Suppose 2*f - 642 = 3*b, 0 = -f + 5*b - 3*b + 323. Suppose 5*v = 2*q - 359, -5*q - 3*v + 629 = -f. What is the remainder when q is divided by 19?
16
Let g = -315 + 1057. Let u = -35 + 54. What is the remainder when (4 - 1 - g/28)*-4 is divided by u?
18
Let p(o) = 8*o - 4*o - 7*o + 5. Suppose 2*y - 32 = -2*y + 4*s, -2*y + s = -13. Calculate the remainder when p(-8) is divided by y.
4
Suppose -3*z + 30 = v, -4*z - z + 50 = -3*v. Suppose 332*u - 328*u - 596 = 0. What is the remainder when u is divided by z?
9
Let j(l) = 5 + 5*l + l**2 - 13*l - 3*l. Calculate the remainder when 33 is divided by j(12).
16
Let o = 24 + -23. Calculate the remainder when 12 + (6 - 8) + -2 is divided by o.
0
Let m(p) = -p**3 + 7*p**2 - 9*p + 3. Let o be m(7). Let q = 49 - o. What is the remainder when q is divided by 37?
35
Let t = -10 + -3. Let q = t + 1. What is the remainder when 27/q*(-104)/3 is divided by 20?
18
Let s be (4/(-2) - 1) + 2. Let p be (24/30)/(s/5). Calculate the remainder when 26 is divided by (2 + -5)*(p + 1).
8
Suppose -u + 2*u + 132 = 4*n, 4*u = n - 18. Let h = 781 + -579. What is the remainder when h is divided by n?
32
Suppose 14*m = 35*m - 945. Calculate the remainder when 149 is divided by m.
14
Calculate the remainder when (-62*51/(-34))/(6/4) is divided by 50.
12
Suppose 28*i - 24*i - 77 = -b, 2*b + 5*i = 154. Calculate the remainder when 454 is divided by b.
69
Suppose 3*g - 3 = 0, 5*p = g + 2*g + 132. What is the remainder when (2/1)/(2/35) is divided by p/(18/4 - 3)?
17
Suppose 4*a + 0 = -12. What is the remainder when ((-218)/(-8))/(a/(-12)) is divided by (-1 + 3)*(-2 + -3 + 19)?
25
Suppose -2*s = u - 103, 385 = 4*u - s - 36. What is the remainder when 625 is divided by u?
100
Suppose -5*l + 0 + 30 = 5*w, -4*w + 19 = 5*l. What is the remainder when 44 is divided by w?
0
Let l(f) = -f - 2. Let t be l(-8). Suppose h = -5*q - 202, q + 42 + 4 = -3*h. What is the remainder when 5 is divided by (q/15)/((-4)/t)?
1
Let r(p) = p**3 + 27*p**2 - 10*p - 4. Calculate the remainder when r(-27) is divided by 54.
50
Suppose 4*o - 36 = -4*t, -t + 66 = 5*o - 3*t. Let z(g) = g**3 - 13*g**2 + 11*g + 21. Calculate the remainder when 11 is divided by z(o).
2
Suppose 8 = -4*t, -g + t + 0*t + 16 = 0. Calculate the remainder when (2/3 - (-7)/21) + 26 is divided by g.
13
Suppose 5*c - 4