s the remainder when (-2)/((-3)/(v + 2)) is divided by w?
3
Let t = -939 - -958. Calculate the remainder when 322 is divided by t.
18
Let z = -40 - -25. Suppose t - 14 = 2*t - 5*l, 3*t = -4*l - 61. Let v = z - t. What is the remainder when 15 is divided by v?
3
Suppose 5*a - 2*l + 23 = 0, -a + 2*l + l - 2 = 0. Calculate the remainder when (-452)/a - 1/((-25)/15) is divided by 24.
19
Let r(g) = 4*g**2 - 18*g + 21. Calculate the remainder when r(14) is divided by 31.
26
Let r = -61 - 0. Let c = 73 + r. What is the remainder when 22 is divided by c?
10
Suppose -127 = 6*j - 673. Let h = -70 + j. Calculate the remainder when h is divided by 12.
9
Suppose -2*s - 5*b = 26, 0*b - 56 = 3*s - b. Suppose 0 = 3*j - 5*r - 26, 2*j - 5 - 6 = -3*r. What is the remainder when j is divided by 4/s - (-38)/9?
3
Suppose 155 = 3*v + 2*v. Suppose 3*i - 4*b - v = 0, -3 = -3*i - 0*b - 3*b. Let y = 40 - 33. Calculate the remainder when y is divided by i.
2
What is the remainder when 59 is divided by (-1)/(-4 - 138/(-36))?
5
Let b = 8 - -37. What is the remainder when b is divided by 4/((5/1)/20)?
13
Suppose -2*r - q = -172, 4*r + 12 = -3*q + 356. Let b(o) = o**2 + 150*o - 444. Calculate the remainder when r is divided by b(3).
11
Suppose 3*z + 16 = 2*x, -4*x - 3*z + 20 - 6 = 0. Let t(m) = 9*m - 17. What is the remainder when 80 is divided by t(x)?
24
Let o = 632 + -619. What is the remainder when 673 is divided by o?
10
Let x(q) = 2*q**2 + 3*q - 49. What is the remainder when 199 is divided by x(7)?
59
Suppose 4*o + 4*z - 308 = 0, o - 71 = -z + 6*z. Let y = o + -71. What is the remainder when 22 is divided by y?
2
What is the remainder when (1691/(-57))/(0 + (-2)/24) is divided by 10?
6
Suppose b + 2*j = 18, 5*b + 0*b - 112 = j. Calculate the remainder when b is divided by 10.
2
Let w = -58 - 36. Let d = -55 - w. What is the remainder when d is divided by 14?
11
Let q = 63 + -32. Let w = 13 - 13. Suppose -4*f + 362 = -2*d, f - 5*f - 4*d + 380 = w. What is the remainder when f is divided by q?
30
Suppose 6*m - 2298 = 132. What is the remainder when 49 is divided by ((-6)/15)/((-9)/m)?
13
Let f(v) = v + 7. Let x(b) = -4*b**2 + 6*b**2 - 4*b + 7 + 0*b**2 - b**3 + 7*b**2. What is the remainder when x(8) is divided by f(3)?
9
Let z = 32 - 28. Suppose -4*n - 70 = -2*i - 24, 2*n = -z. Let p = -32 + 68. What is the remainder when p is divided by i?
17
Let c = 19 - -27. Let y = 61 - c. Suppose 2*u + 2*u = 228. What is the remainder when u is divided by y?
12
What is the remainder when ((-7)/((-175)/80))/(4/210) is divided by 17?
15
Let o be 0/(18/6)*(-1)/(-2). Suppose -8*g + 33 + 23 = o. Calculate the remainder when 12 is divided by g.
5
Let p(g) = g**2 - 7*g + 7. Let c be p(6). Calculate the remainder when 92 is divided by (-4 - -3)/(c/(-31)).
30
Calculate the remainder when -12 + -1 - -12 - 244/(-2) is divided by 6.
1
Let n(a) = -2*a**2 + 38*a + 23. What is the remainder when 291 is divided by n(18)?
55
Suppose -7*v = -2*v - 15. Let j = 9 - v. What is the remainder when 21 is divided by j?
3
Let t(j) = -j**3 - 35*j**2 - 67*j + 36. Calculate the remainder when t(-33) is divided by 37.
32
Let j(b) = b**2 + 4*b - 5. Let v be j(-6). Let p(s) = s**2 - 5*s - 4. Suppose -3*c - 1597 = -1615. Calculate the remainder when p(v) is divided by c.
4
Suppose -30 = -5*i + 35. Let d = 12 - i. Calculate the remainder when 49 is divided by -3 - (0 + d)*16.
10
Suppose 2*p = -31 + 101. Suppose 2*b + 4*j = -22, -6*j = -5*b - j - 85. Let x(z) = -z**2 - 14*z + 33. Calculate the remainder when p is divided by x(b).
17
Suppose -2*w - 24 = -w. Let b = 36 + w. Calculate the remainder when 35 is divided by b.
11
Let r = -145 + 220. Suppose -2*u - 4*a + 36 = 0, 0 = 5*u - u - a - 108. What is the remainder when r is divided by u?
23
Let k(z) = z**2 - z - 2. Suppose -i + 154 = x + x, -3*x = -4*i - 242. What is the remainder when x is divided by k(4)?
8
Suppose 0 = 5*x + 3*g - 81, -54*x + 36 = -52*x + 3*g. What is the remainder when 54 is divided by x?
9
Calculate the remainder when (1/(-6))/(1/(-16))*39 is divided by 30.
14
Suppose 0 + 45 = 5*x + 4*o, 2*x + 2*o - 20 = 0. Suppose -133 = -4*a - x*c, -a + 160 = 4*a + 5*c. What is the remainder when a is divided by (5/4)/(2/16)?
7
Let t(m) = m**2 + 16*m + 104. Calculate the remainder when 326 is divided by t(-7).
39
Let y(m) = -3 + 0 - 14*m + 2 + 4*m. Suppose 5*a = 4*n - 168, -152 - 21 = -5*n - 3*a. What is the remainder when n is divided by y(-2)?
18
Let j(b) = 4*b**2 + 9*b + 6. What is the remainder when j(-6) is divided by 11?
8
Let j(m) = m**3 + 6*m**2 + m - 2. Suppose -10*i = -12*i - 6. Let s(x) = 3*x. What is the remainder when j(i) is divided by s(3)?
4
Let m = -942 - -980. Suppose 5*w + 51 = 181. Suppose -4 - w = -3*h. What is the remainder when m is divided by h?
8
Suppose -f = 4*r - 314, -5*r + 74*f - 71*f + 401 = 0. What is the remainder when r is divided by 51?
28
Let q(z) be the third derivative of -z**6/40 + z**5/60 + z**3/6 + 9*z**2. Let h be q(-4). Let x = h + -140. What is the remainder when x is divided by 36?
33
Suppose 2*m = v + 10, v - 3*v = 3*m - 15. What is the remainder when 22 is divided by m?
2
Suppose -6*b = -5*b. Suppose -4*t - 3*w + 37 = 0, b = 5*t + 3*w - 6*w - 26. Calculate the remainder when 12 is divided by t.
5
Suppose -14*u + 1753 + 1061 = 0. Calculate the remainder when u is divided by 12.
9
Suppose 180 - 30 = 15*s. Calculate the remainder when 145 is divided by s.
5
Let b(k) = -k + 80. Let z be b(0). Suppose 0 = -3*f + f + z. Suppose 1121 = -12*q + 2045. Calculate the remainder when q is divided by f.
37
Suppose -86 = h + 4*m, -5*h - 2*m - 325 = -3*m. Calculate the remainder when 37 is divided by 19/2 - h/(-44).
5
Let b = 161 - 123. Let w = -9 + b. Calculate the remainder when w is divided by 10.
9
Let s(m) = 2*m - 13. Let q be s(10). Let r = -13 + q. What is the remainder when (14/(-4))/(3/r) is divided by 2?
1
Let u = 35 + -23. Suppose 2*c + 84 = 6*c. Calculate the remainder when c is divided by u.
9
Let n be 0 + 4/(-2) + -18 + 22. Suppose 2*p + 3*f - 49 = 0, -p + f + 38 = -n*f. Suppose 0 = b - 6*b + 45. What is the remainder when p is divided by b?
2
Let u(x) = x**3 + 17*x**2 - x + 12. Suppose 0 = -3*a + 387 - 48. What is the remainder when a is divided by u(-17)?
26
Let v(r) = 5*r - 1. Let x be v(1). Let a(t) = 4*t. Calculate the remainder when (-4 - -4) + -2 - (-60 - 4) is divided by a(x).
14
Let u(c) = c + 21. Let d be u(0). Let k = -199 - -188. Let x = d + k. What is the remainder when 37 is divided by x?
7
Let o = 208 + -116. What is the remainder when o is divided by 33?
26
Let w(o) = 9*o - 182. What is the remainder when 523 is divided by w(30)?
83
What is the remainder when 13/((-104)/(-32)) + 417 is divided by 53?
50
Let d = 25 - 23. Suppose 5*m - 3*u - 21 = 15, -15 = -d*m + u. What is the remainder when m is divided by 4?
1
Let i = 5 + 12. Suppose c + 0 = i. Let n = 15 - -18. Calculate the remainder when n is divided by c.
16
Let i(j) = 67*j - 862. Let h = 25 - -4. Calculate the remainder when i(15) is divided by h.
27
Let x be 14/2*960/(-224). Suppose -5*s + 84 = -146. Let v = s + x. What is the remainder when 31 is divided by v?
15
Let g = 62 + -26. Let n = g - 28. Let f = 24 - n. Calculate the remainder when f is divided by 5.
1
Suppose y + 0 = -4*o + 10, -3*y + o + 4 = 0. Suppose -x + 51 = y*x. Calculate the remainder when 28 is divided by x.
11
Let q = 38 + 39. Let l = -61 + q. What is the remainder when 46 is divided by l?
14
Suppose 2*p + f = 26, 64 = 5*p - 0*f + 3*f. Let x = p + -7. What is the remainder when 20 is divided by x?
6
Suppose -2*d - s = -70, -6*s - 112 = -3*d - 4*s. What is the remainder when d is divided by 24?
12
Let d = 904 - 895. What is the remainder when 60 is divided by d?
6
Let t be (3/3 + -5)*2. Let i be t + (-12)/4 + 7. Let q(j) = j**2 + 2*j - 1. What is the remainder when q(i) is divided by 5?
2
Let j(o) = -o**3 + 8*o**2 - 8*o + 10. Let z be j(7). Suppose -20 = -3*w + z*v + 34, 2*w + 5*v = 8. What is the remainder when w is divided by 10?
4
Suppose -120 = -15*t + 17*t. Let z = t + 80. Calculate the remainder when 78 is divided by z.
18
Let m(z) = -1 + 17*z + z - 11*z + 21*z. Calculate the remainder when m(1) is divided by ((-77)/(-22))/((-1)/(-2)).
6
Let b(g) = g + 21. What is