- 16 = -2*v - s, s + 8 = 3*v. Let d = -1 + v. Calculate the remainder when 51/15 - (-36)/60 is divided by d.
1
Suppose -3*i + 16*v - 20*v = -775, -275 = -i + 2*v. Calculate the remainder when i is divided by 38.
37
Suppose -3*w = -t - 0 + 62, t - 59 = 2*w. What is the remainder when t is divided by 27?
26
Let n(a) = 4*a - 120. What is the remainder when 39 is divided by n(37)?
11
Suppose 0*d = 4*d - 60. Let r = 107 + -200. Let b = r - -167. Calculate the remainder when b is divided by d.
14
Suppose 397 = 4*x - 23. Suppose 335 + x = 2*s + 5*c, -4*c + 653 = 3*s. Calculate the remainder when s is divided by 31.
29
Let n(y) = -y**3 + 3*y**2 + 5*y - 1. Let x be n(4). Suppose 4*l - 9 = x*l. Let t = 26938 + -26915. Calculate the remainder when t is divided by l.
5
Let l = 935 - 906. What is the remainder when l is divided by 11?
7
Suppose -15*y = 3*d - 19*y - 19, 0 = -2*d - 5*y + 5. Calculate the remainder when 33 is divided by d.
3
Let c(u) = -14*u + 6. Let d be c(-6). Let j = d + -57. Let w = -495 + 512. What is the remainder when j is divided by w?
16
Let k = -81 + 86. What is the remainder when 58 is divided by k?
3
Let p = -33 + 53. Let a be (20/60)/((-2)/(-3084)). Suppose -20 = -5*i, i = 5*u + 123 - a. Calculate the remainder when u is divided by p.
19
Suppose 10 = 2*k - k. Suppose 14*a - 64 = k*a. What is the remainder when 93 is divided by a?
13
Suppose -4*a = 5*c - 2*c - 572, -5*c - 5*a = -960. Calculate the remainder when c is divided by 9.
7
Suppose 2*t - t = 5*s - 17, -5*s + 5*t + 25 = 0. Suppose u - x = -u + 36, 3*x = s*u - 57. Calculate the remainder when u is divided by 6.
5
Suppose 0 = -23*r + 25*r - 46. Suppose -r = -4*g + 13. What is the remainder when g is divided by 3?
0
Let c be 1*((0 - 2) + 8). Suppose 3*j = l - 4 + 1, j = -2*l + c. Suppose j*w = 4*w + 8, -5*v - 3*w = 1. Calculate the remainder when 1 is divided by v.
0
Let t(u) = -5*u + 3. What is the remainder when -1076*(-16)/256 - (-2)/(-8) is divided by t(-4)?
21
Let r(m) be the second derivative of -m**5/20 - m**4/6 - m**3/6 - m. Let k be r(-2). Calculate the remainder when (-20)/(-2) - (-4)/k is divided by 5.
2
Let f = -45 + 71. Let d(k) = 15*k + 223. What is the remainder when d(-8) is divided by f?
25
Let d(x) = 23*x - 1 - 3 + 1. Calculate the remainder when d(2) is divided by (-155)/(-7) - ((-20)/5)/(-28).
21
Suppose y + 7*t - 4*t = 156, -3*t = 3*y - 444. What is the remainder when y is divided by 30?
24
Suppose -b - 4*i + i + 6 = 0, 5*b + 5*i = 30. Let u(s) = 4*s**2 - 9*s + 5. Let h = -260 + 292. What is the remainder when u(b) is divided by h?
31
Suppose 0 = -3*s - 1 + 4. Suppose 13 - s = r. What is the remainder when 46 is divided by r?
10
Let n(q) = 34*q - 3. Let v be n(3). Let s be ((-5)/(-15))/(1/v). Let g = -8 + s. What is the remainder when 47 is divided by g?
22
Suppose 0 = y + 27 - 104. Let u(t) = t**3 - 16*t**2 - 34*t - 23. Calculate the remainder when y is divided by u(18).
12
Let j = 1439 + -1402. What is the remainder when j is divided by 25?
12
Suppose -30*j + 32*j = 12. Suppose 5*c + 2*i + i - 15 = 0, -2*c - 2*i = -j. What is the remainder when 7 is divided by c?
1
Suppose -4*y - 500 = -2*t + y, 3*t - 3*y = 732. What is the remainder when t is divided by 22?
20
Let j = 5 - 6. Let c(d) = -16*d + 1. Let t(q) = q. Let x(v) = j*c(v) - 6*t(v). Calculate the remainder when x(3) is divided by 16.
13
Suppose -7*j = -102 - 45. Calculate the remainder when 1049 is divided by j.
20
Let z(o) = o**3 + 5*o**2 - 14*o - 20. Calculate the remainder when z(-5) is divided by 27.
23
Suppose 6*s - 12 = 2*s. Calculate the remainder when (5 + -1)*51/12 is divided by 3/((-99)/(-30) - s).
7
Suppose -2*s + 5 = -11. Suppose -2*n = -3*l - l, l = 4*n - 14. Suppose 3*u - 2*f = 65, -l*u - 60 = -5*u - 3*f. What is the remainder when u is divided by s?
5
Calculate the remainder when 567 is divided by (1050/18 - 14)*(-12)/(-14).
35
Suppose 0 = -2*y - 8 + 12. Suppose y*g - 172 + 34 = 0. What is the remainder when g is divided by 20?
9
Let d = 2393 + -2347. Suppose 404 - 134 = 3*r. Calculate the remainder when r is divided by d.
44
Let g(d) = d**2 - 21*d + 88. Let h be g(16). Let m be (-56)/(-6)*(4 - 1). Suppose -4*b = -h - m. Calculate the remainder when 17 is divided by b.
8
Calculate the remainder when (-1 - -2)*-1 + -1 + 100 is divided by 30.
8
Let j be (2/(-4) - (-459)/(-6)) + -2. Let f = -24 - j. Calculate the remainder when f is divided by 15.
10
Let f = -698 + 715. Calculate the remainder when 3/6*42*4 is divided by f.
16
Calculate the remainder when 25 + -4 + ((-18)/(-6) - -5) is divided by 11.
7
Let u = 31 + -6. Let o(v) = -7*v - 49. Calculate the remainder when u is divided by o(-9).
11
Let c(j) = j**3 - 6*j**2 - 11*j + 21. Let z be c(7). Calculate the remainder when 170 is divided by 1*(-1)/1 + (z - -51).
41
Let p(s) = s**2 - 9*s + 11. Let n be p(8). Suppose n*l = -l - 80. Let f = -13 - l. What is the remainder when 18 is divided by f?
4
Suppose 5*c - 4*p = 253, -5*c + 3*p + 198 = -53. Calculate the remainder when c is divided by 18.
13
Suppose 2*n - 17 = 17. Suppose -552 = -11*m - m. What is the remainder when m is divided by n?
12
Let r(o) = 9*o**3 - 5*o**2 + 2*o + 6. What is the remainder when r(2) is divided by 50?
12
Let m(l) = -2*l - 11. Let z be m(-8). Suppose 152 = 3*p + z*k, 3*p - 150 - 14 = k. Let s = -491 + 505. Calculate the remainder when p is divided by s.
12
Let o = 70 - 0. Suppose -2*k - 3*m + 0*m + o = 0, -2*m + 153 = 5*k. Calculate the remainder when k is divided by ((-1 - 0) + 0)*-5.
4
Suppose -345 + 321 = -4*q. Suppose -8*l + q*l = -j + 26, 3*l = j - 28. What is the remainder when 82 is divided by j?
16
Let x(m) = -12*m + 1. Let b(p) = p**3 - 2. Let k be b(0). Suppose 3*w - 3*s = 42, 0*w + 5*s = 4*w - 61. Calculate the remainder when x(k) is divided by w.
7
Let h(f) = -134*f - 16. What is the remainder when h(-2) is divided by 23?
22
Let s be (1 + 1 + -4)/((-1)/26). Let f = s + -31. Calculate the remainder when f is divided by 14.
7
Let p(l) = l**3 + 5*l**2 + 4*l + 1. Let q be p(-4). Let g(f) = 85*f**2 - 2*f + 2. Let i be g(q). Let x = i - 51. What is the remainder when x is divided by 12?
10
Suppose -999 = -4*v - 5*v. Let o = v - 109. Calculate the remainder when 17 is divided by o.
1
What is the remainder when (-1 + -3)/((-10)/1055) is divided by 9?
8
Calculate the remainder when 40 is divided by (-8)/88 + (-144)/(-11).
1
Let h = -475 + 480. Suppose 0*u - 3*u + 68 = -b, b - 70 = -3*u. What is the remainder when u is divided by h?
3
Suppose 1 - 1645 = -6*n. Let a = n - 163. What is the remainder when a is divided by 19?
16
Suppose 0 = -2*k - 4, -5*o + 2*k + 33 = -4*o. Let j = o - 22. Suppose 4*h + 29 = 5*v, 27 = 5*v + 5*h + j. Calculate the remainder when 14 is divided by v.
4
Suppose -2*v + 7*v = 120. Let s = v - 3. Let q = s + 13. What is the remainder when q is divided by 12?
10
Let h = 2 - -3. Suppose -99 = -h*i + 2*i. Suppose 2*y - 45 = 5*b - 7, 4*y + b - 32 = 0. Calculate the remainder when i is divided by y.
6
Let u(x) = -255*x**3 + 2*x**2 + 3*x + 1. What is the remainder when u(-1) is divided by 91?
73
Let p(h) = h**3 + 3*h**2 - 2*h - 1. Let d(b) = -4 - 6*b - b**2 + 2*b**2 + 1 - 10. Calculate the remainder when d(11) is divided by p(2).
12
Let c = -503 + 535. What is the remainder when 1854 is divided by c?
30
Let s(w) = -w - 1. Suppose 2*k + 3*k = 3*m - 67, 2*k + m = -29. Let o be s(k). Let i(u) = 3*u + 30. Calculate the remainder when i(o) is divided by 14.
13
Let g = -141 - -391. Suppose -2*l - 2*j = 2*j - 160, 3*l - 4*j = g. Let x(c) = -c + 11. Calculate the remainder when l is divided by x(-10).
19
Let x = 64 - 3. Let l(b) = -45*b - 4. Let g be l(-2). Suppose -5*p + g = 7*t - 4*t, 4*p - 60 = 2*t. Calculate the remainder when x is divided by p.
13
Calculate the remainder when ((-3)/(-2))/((-2)/(-512)) is divided by 55.
54
Let m be (2 + 2)/4 + 9. Suppose 5*i + 16 = -3*z + 41, -2*i = -3*z - m. Suppose 7*o - 4*o - 309 = z. Calculate the remainder when o is divided by 26.
25
Let k = -141 - -144. Calculate the remainder when 5 is divided by k.
2
What is the remainder when 193 is divided by 4/(-10) + (-28280)/(-700)?
33
Let u = -263 - -301. What is the remainder when 122 is divided by u?
8
Suppose -o = -3*t + 192, -4*o + 39 = 2*t - 89. Calculate