 + 3*t - 2*h - 13, 3*t = -h + 60. What is the remainder when 3247 is divided by t?
17
Let v(d) = d**2 - 31*d + 180. Calculate the remainder when 42 is divided by v(7).
6
Suppose -2*t - 2*t = -60. Let n(i) = i - 16. Let s be n(18). Suppose -3*a - 6 = l, -s*a - 3*a - 52 = -3*l. What is the remainder when t is divided by l?
6
Suppose 5*g = 3*k - 392 + 338, 4*g = 2*k - 38. Suppose -3*p - p = -308. What is the remainder when p is divided by k?
12
Let x(o) = -55*o - 258. What is the remainder when 83 is divided by x(-5)?
15
Suppose 0 = 2*j + j - 3. Let c = 971 - 966. Suppose m + j = c. What is the remainder when 11 is divided by m?
3
Let l(i) = 4*i**3 - i**2 + 2*i - 1. Let v be l(1). Suppose 67 + 61 = v*y. What is the remainder when y is divided by 17?
15
Let u(z) = -z - 20. Let i be u(-17). Let c = 40 - i. Let d = c - 18. Calculate the remainder when d is divided by 9.
7
Let f(z) = -11*z + 7 + 4 - 3 + 8*z**2 + z**3. What is the remainder when 99 is divided by f(-9)?
21
Suppose -2*d - 83 = -143. Suppose 85 - d = h. What is the remainder when h is divided by 19?
17
Let r be 4*((-87)/(-12) + -3). Suppose -4*v - 5*z = -161, 3*z + r + 2 = v. What is the remainder when v is divided by 9?
7
Calculate the remainder when 1898/6 + (-16)/((-288)/30) is divided by 51.
12
Let j be (-15)/(-5) + 1 - 1. What is the remainder when 53 is divided by j - (3 + -31 + 3)?
25
Suppose -5*o - 13 = 3*x, -5*x - 3*o = -8*o - 45. Suppose -19*m = 4*m - 299. Calculate the remainder when m is divided by x.
1
Let z = -79 - -125. Suppose -96 + 21 = -3*o. What is the remainder when z is divided by o?
21
Calculate the remainder when 615 is divided by 7/14*1*(-6)/(-1).
0
Suppose 6*l = 4*l. Suppose l*y + y - 40 = 0. What is the remainder when y is divided by 14?
12
Suppose -26*i = -23*i - 15. Calculate the remainder when 15 is divided by i.
0
Let f(s) be the third derivative of s**4/8 - 11*s**3/6 + s**2 - 7*s. Let o = -5 + 11. Calculate the remainder when 11 is divided by f(o).
4
Suppose -2*i + 3*x - 81 = -3*i, 3*x + 189 = 2*i. Let w(g) = -g**2 - 17*g - 16. Calculate the remainder when i is divided by w(-14).
12
Let p(o) = 5*o**2 - 4*o + 2. Let r(y) = -y**2 + 15*y + 39. What is the remainder when p(4) is divided by r(16)?
20
Let a = 39 + -29. Suppose 8*q = 9*q - a. Calculate the remainder when q is divided by 6.
4
Suppose -629 = -26*a - 161. What is the remainder when 1510 is divided by a?
16
Suppose 4*a + 8 = -5*o, -5*o + 4 = -3*a + a. Suppose o = k - 4*x - 7 - 14, 0 = -2*k + 4*x + 46. What is the remainder when k is divided by (1 - 0)*9 - 0?
7
Let d = 98 - 48. Calculate the remainder when d is divided by 11.
6
Let p = 596 - 580. Let t(w) = -w**3 + 7*w**2 + 9*w + 9. Let k be t(8). Let r = -8 + k. What is the remainder when p is divided by r?
7
Suppose -2*h = k, 5*k = h + k. Calculate the remainder when 27 is divided by (-120)/84*(h - 7).
7
Let v(z) = -13*z + 282. Calculate the remainder when v(6) is divided by 70.
64
Let d(w) = 30*w**2 + 58*w - 497. Calculate the remainder when d(8) is divided by 90.
87
Suppose 3*s + g + g - 130 = 0, 100 = 3*s - 4*g. What is the remainder when 119 is divided by s?
39
Let z(j) = -19*j**2 - 2*j**3 + 3 + 14*j**2 + 0*j**2 - j. Calculate the remainder when z(-3) is divided by 4.
3
Let v(n) = 2*n**3 - n**2 - 4*n. Let l = 19 + -13. Suppose y = l*y - 15. Calculate the remainder when v(y) is divided by 17.
16
Let g = 33 - -239. Calculate the remainder when g is divided by 82.
26
Let b(r) = r**3 - 8*r**2 + 2*r + 17. Let j be b(8). Suppose 63 = 5*d - p, p - 78 = -4*d - j. Calculate the remainder when 47 is divided by d.
11
Let p(v) = v**3 + 10*v**2 - 29*v - 11. Let l be p(-12). Let t = l - 35. What is the remainder when t is divided by 6?
2
Suppose -r = 4*r - 25. Suppose r*d - 3*t - 38 = 0, 0 = 2*t - 6 - 2. What is the remainder when (d/(-15))/(4/(-6)) is divided by 1?
0
Let h(z) = 14*z - 102. Suppose -3*d = 2*d - 25. Calculate the remainder when h(9) is divided by d.
4
Let v = -26 - -12. Suppose -68 = 7*t - 24*t. What is the remainder when (12/14)/((-2)/v) is divided by t?
2
Let d = 65 - 25. Suppose y - 245 - 370 = 0. What is the remainder when d is divided by (-4)/22 + y/55?
7
Let k = -9 - -13. Suppose 3*d = 4*o + o + 16, 5*o = 4*d - 18. Suppose -5*x - d*z = -20, 0*x = -x - 5*z + 4. Calculate the remainder when x is divided by k.
0
Suppose -26 = -3*l + q, -2*l - 4 + 24 = 2*q. Calculate the remainder when 28 is divided by l.
1
Let b be 2 + -5*(0 + -1). Let i(k) = 7*k - 33. What is the remainder when 30 is divided by i(b)?
14
Let i = 84 - 78. Suppose 196 = -4*r + i*r. What is the remainder when r is divided by 101/4 + 1/(-4)?
23
Let t = 58 - 67. Let j(h) = -4*h - 13. Calculate the remainder when 64 is divided by j(t).
18
Let t = -27 + 244. What is the remainder when t is divided by 10?
7
Suppose 84*k - 75*k = 405. What is the remainder when 1573 is divided by k?
43
Let h = -213 - -238. Calculate the remainder when h is divided by 21.
4
Let g(c) = 805*c + 102. What is the remainder when g(2) is divided by 13?
9
Suppose -4*s = 3 - 11. Suppose -4*c + 69 + 205 = s*j, 4*j = 20. What is the remainder when c is divided by (170/(-40))/((-2)/8)?
15
Let d(o) = 8*o - 5. Let z be (-3)/(-2)*(-2)/(-3). Let g = z + 34. Calculate the remainder when g is divided by d(3).
16
Suppose 0*p - 9*p = 864. Let c = 155 + p. Calculate the remainder when c is divided by 15.
14
What is the remainder when 311 is divided by 18 - (-6 + 0/3)?
23
Suppose 15*z - 2*f = 17*z - 14, 56 = 5*z - 2*f. Calculate the remainder when z is divided by 6.
4
Let i(v) = 4*v**2 + 2*v - 2. Calculate the remainder when i(2) is divided by (4/(-5))/((-43)/430).
2
Suppose -3*x - 155 - 4 = 0. Let d = x + 81. Suppose 30 + 15 = 3*i. What is the remainder when d is divided by i?
13
Calculate the remainder when 162 is divided by 4620/192 + (-4)/64.
18
Suppose 351*p + 3174 = 354*p. What is the remainder when p is divided by 106?
104
Suppose -z + 78 = -5*g, -3*z = 2*z + 4*g - 419. Let a(q) = 6*q**2 - 6*q - 7. Calculate the remainder when z is divided by a(3).
25
Let a be (-6 - -1) + 2/(-2). Suppose 10*o = -82 + 222. Calculate the remainder when o is divided by (-22)/a - (-1)/3.
2
Calculate the remainder when 372 is divided by 20/(-6)*(-333)/74.
12
Suppose 2*g - 65 = 43. Let u = 91 - g. Calculate the remainder when u is divided by 20.
17
Suppose -10*u + 5*u - 32 = -z, z + u = 8. Let n(b) = -2*b**2 - 3*b - 1. Let m be n(-2). Let g = m + 8. What is the remainder when z is divided by g?
2
Suppose 0 = -i + 3*s - s + 59, -39 = -i - 2*s. Let q = i - 21. Calculate the remainder when 109 is divided by q.
25
Suppose -3*u = -33 - 9. Let i(v) = 60*v + 7. What is the remainder when i(1) is divided by u?
11
Suppose 0 = -11*u + 4*u + 21. Suppose -o - 18 = -f, -4*f = f + u*o - 74. Calculate the remainder when 30 is divided by f.
14
Let q = 31 + 96. Let i(y) = -y**3 + 17*y**2 + 3*y - 19. What is the remainder when q is divided by i(17)?
31
Let f(b) = b**2 - b - 4. Let d be f(-2). Suppose 13 = d*o + 5. Calculate the remainder when (-387)/(-11) - o/22 is divided by 9.
8
Suppose -95 = -6*o + o. Let t(x) = -74*x - 1. Let z = -15 - -14. What is the remainder when t(z) is divided by o?
16
Let d = -42 + 70. Let n(y) = y**3 - 8*y**2 - 2*y + 12. Let k be n(8). Calculate the remainder when d is divided by ((-15)/k)/(4/16).
13
Let a(b) = -20*b + 5. Let w be a(-6). Suppose -5*i + w = -3*u, -2*u = -6*u + 20. What is the remainder when 111 is divided by i?
27
Suppose -12*s = -9*s - 117. Let n be (-6)/s - (-14988)/78. Suppose -4*r - 3*q + 157 = 0, q + n = 4*r - 3*q. Calculate the remainder when r is divided by 22.
21
Let s = -135 - -618. Calculate the remainder when s is divided by 123.
114
Let d(p) be the first derivative of p**3/3 + 13*p**2/2 - 65*p + 25. Calculate the remainder when 11 is divided by d(-17).
2
Suppose 6*b = 8*b. Suppose 0 = -b*i - 4*i + 96. Let k(m) = m**2 - 7*m - 4. What is the remainder when i is divided by k(9)?
10
Suppose -2*v - 2*m = v - 780, 5*v - 1319 = 3*m. Suppose -3*b - 174*d + 178*d + 9 = 0, 2*b + 2 = 4*d. Calculate the remainder when v is divided by b.
9
Suppose -8*h = -45*h + 7511. What is the remainder when h is divided by 68?
67
Let w(d) = -12*d**3 + 2*d**2 - d - 1. Let s be w(1). Let f = -7 - s. What is the remainder 