emainder when w is divided by 23?
17
Let u = 388 + -339. What is the remainder when u is divided by 20?
9
Let z(r) = -2*r**3 + 17*r**2 - 8*r + 4. What is the remainder when 15 is divided by z(8)?
3
Suppose 220 = -206*f + 217*f. Calculate the remainder when 131 is divided by f.
11
Let j be (18/36)/((-2)/(-396)). Suppose -4*d = -3*d - j. What is the remainder when d is divided by 13?
8
Calculate the remainder when 12/30 + 636/10 is divided by 15.
4
Suppose 5*s - 1514 = 5*k - 3*k, 0 = -2*s - 4*k + 596. Suppose -v - 463 = -4*j, 0 = -2*j + 5*v - 75 + s. Calculate the remainder when j is divided by 9.
8
Let d be 3/(-18)*-2*9. Suppose -5*q + 3 = d*m - 102, -21 = -2*q + 3*m. Calculate the remainder when 51 is divided by q.
15
Let r(m) = -33*m - 46. What is the remainder when r(-12) is divided by 39?
38
Let b(m) = 2*m**3 + 24*m**2 - 26*m + 55. Calculate the remainder when b(-13) is divided by 18.
1
Let v be ((-9)/(-12))/((-27)/(-24))*6. Let d(m) = -15*m**3 + m. Calculate the remainder when 58 + 3*(3 - v) is divided by d(-1).
13
Let r = -421 - -488. What is the remainder when r is divided by 9?
4
Let o(c) = 4*c**2. Let k be o(1). Let f = k + 1. Let g(w) = 4*w + 43. What is the remainder when g(-6) is divided by f?
4
Let m(i) = -i**2 - 4*i + 1. Let l be m(-5). Calculate the remainder when (-1)/(-3) + 70/6 is divided by (l/2)/((-7)/5 + 1).
2
Suppose -4*y = 3*q + 54 + 10, 5*q + 115 = -5*y. Calculate the remainder when 129 is divided by 7/q - (-267)/12.
19
Suppose -4*u - 7 = 3*f, -21 - 5 = -3*u + 4*f. Suppose 3 + 7 = u*b. Suppose 138 - 18 = b*l. Calculate the remainder when l is divided by 9.
6
Let y = -18 - -18. Suppose 3*s - 29 - 4 = y. Calculate the remainder when 32 is divided by s.
10
Let y(o) = -4*o - 2. Suppose -3*n - 66 = -2*h - 388, -2 = h. Suppose -11*z + n = -9*z. What is the remainder when z is divided by y(-4)?
11
Let k(a) = 14*a - 26. Calculate the remainder when 90 is divided by k(3).
10
Let o be (-2)/10 + -4 + (-81)/(-5). Calculate the remainder when 29 is divided by 27/2 - o/(-8).
14
Calculate the remainder when 297 - 25 - (1 - 1) is divided by 12.
8
Suppose 2*m + f = 311, -2*m - 2*m - f + 619 = 0. Suppose -7*a + m = -3*a + 3*c, 0 = -c + 2. Calculate the remainder when a is divided by 10.
7
Let h = -400 - -424. What is the remainder when 95 is divided by h?
23
Let r(q) = 18*q**2 + 7*q - 6. What is the remainder when r(-3) is divided by 29?
19
Let i(h) = -h**3 + 10*h**2 + 28*h. Calculate the remainder when i(12) is divided by 22.
4
Let w(u) = u**3 - 3*u**2 + 2*u - 6. Suppose -28*n + 6*n + 392 = -8*n. Calculate the remainder when w(5) is divided by n.
26
Let t = 37 - 24. Let f = 311 - 215. Suppose f = 5*k + 7*k. What is the remainder when t is divided by k?
5
Suppose 1 = -3*v + 5*n + 47, 0 = -4*v - 5*n + 38. Suppose -4*r = 5*t - 41, -5*r = -5*t - 1 + 6. Calculate the remainder when v is divided by t.
2
Let l(j) = 33*j**2 + 56*j + 292. What is the remainder when l(-8) is divided by 103?
102
Let u(f) = -2 - 1 + 2*f + f**2 + 0*f**2 + 2*f. Let o(p) = -p**2. Let v(a) = -2*o(a) - u(a). What is the remainder when v(5) is divided by 5?
3
Let d(h) = -42*h + 52. Calculate the remainder when 1408 is divided by d(-1).
92
Let p(j) = 89*j**2 + 2*j - 4. What is the remainder when 254 is divided by p(1)?
80
Let m(v) = 70*v + 11. What is the remainder when m(2) is divided by 20?
11
Suppose 3*a = 0, p - 4*a + 9*a - 108 = 0. What is the remainder when p is divided by 31?
15
Let s(h) = -5 - 2*h - 6 + 5. Let g be s(-6). Suppose -61 = -w - 5*k + g, -w + 5*k + 67 = 0. Calculate the remainder when w is divided by 17.
16
Let p(x) = -6*x**3 + 3*x + 2. Let i be p(-1). Suppose i*s = -4*m + 88 - 251, 250 = -5*m + 3*s. Let q = m - -71. What is the remainder when 46 is divided by q?
22
Suppose 0 = -6*p + 2*p. Let t(f) = 3*f + 5. What is the remainder when t(p) is divided by 3/(-6)*-2*4?
1
Let f(r) = r + 11. Let p = 4 - -25. Calculate the remainder when p is divided by f(5).
13
Let l = 27 + 78. Calculate the remainder when l is divided by 28.
21
What is the remainder when 51 + (27/3 - 2) is divided by 13?
6
Let x = -28 + 35. Suppose 28 = -x*k + 8*k. What is the remainder when k is divided by 15?
13
Let b(t) = 4*t**2 + 20*t - 99. What is the remainder when 446 is divided by b(-9)?
41
Let g(r) = 2*r**2 + 10*r + 15. Suppose 0 = -5*s + 28 + 117. What is the remainder when g(-10) is divided by s?
28
Suppose 45*h = 44*h + 19. Calculate the remainder when 68 is divided by h.
11
Let r(x) = x**3 + 7*x**2 + x + 10. Suppose 0 = -2*k + 2*t + 20, 14 + 20 = 3*k - 5*t. Calculate the remainder when k is divided by r(-7).
2
Let r = 1 + -1. Suppose -2*y - 84 = -4*z, -8*z + 7*z + 5*y = -39. Suppose r - z = -a. Calculate the remainder when a is divided by 7.
5
Let j(h) = h**2 - 10*h - 5. Suppose -2*v + 14 + 4 = 0. Let t be j(v). Calculate the remainder when (-7 - t)*(-10)/(-2) is divided by 9.
8
Let s = -1 + -1. Let w(l) = -3*l**3 - l**2 - 3*l - 3. Suppose -3*b - 3*q + 54 = 0, -10*b - 8 = -11*b + q. Calculate the remainder when w(s) is divided by b.
10
Let v(h) = 2*h**2 + 18*h + 9. Let n(c) = -c**3 - 12*c**2 - 11*c - 12. Let j be n(-11). What is the remainder when v(j) is divided by 28?
25
Let k = -31 + 45. Let z(h) = 9*h**2 - h - 7 - 5*h**2 + 7*h - h**2. Calculate the remainder when z(3) is divided by k.
10
Let v = 115 + -114. What is the remainder when 32 is divided by v?
0
Let a = -144 + 73. Let w = 17 + a. Calculate the remainder when (22/(-3))/(12/w) is divided by 12.
9
Let d(o) be the second derivative of 7*o**4/4 - o**3/6 + o**2/2 - 14*o. What is the remainder when 102 is divided by d(1)?
18
Let s(n) = 7*n**2 + n - 1. Let l be s(-2). Suppose -4*g = -9 + l. What is the remainder when 17 is divided by -1*2/g*14?
3
Suppose -13*d + 17*d = 104. Let i be 34/9 + d/117. Suppose 1 = -3*f + i*x + 2, x = f - 1. Calculate the remainder when 9 is divided by f.
0
Calculate the remainder when (-1)/3*-1149 + 5 is divided by 79.
72
Suppose 3*t - 26 = -50. Calculate the remainder when 17 is divided by 6 + t/(2 - 4).
7
Suppose 18*q + 6 = 16*q. Calculate the remainder when 63 is divided by (27 - q) + -2 + 4.
31
Let v be ((-30)/20)/((-1)/2). Suppose -5*g = v*p - 70, -3*g + 22 = p - 0*p. Calculate the remainder when 47 is divided by p.
22
Let b = -1033 - -1253. Calculate the remainder when b is divided by 7.
3
Suppose -4*i + 5*z - 10*z = -1363, -5*i + 1750 = -3*z. Calculate the remainder when i is divided by 35.
32
Let o(x) = x**2 - 12*x + 50. What is the remainder when o(12) is divided by 16?
2
What is the remainder when (6 + 5 - 4) + -4 + 225 is divided by 24?
12
Let z = 114 - 111. Suppose -a + 65 = 2*s, 3*s - 3*a - 81 = a. Suppose -8 - s = -z*n. What is the remainder when 24 is divided by n?
11
Let r(s) = s**3 - 2*s**2 - 8*s + 4. Calculate the remainder when (-68)/(-85)*(-580)/(-4) is divided by r(5).
38
Suppose -79 = -d - 5*u, 0 = -8*u + 10*u - 4. What is the remainder when 206 is divided by d?
68
Suppose 5*d = -2*a + 619, 253 = 5*d + 4*a - 370. Calculate the remainder when d is divided by 43.
37
Suppose -72 = 3*m + m. Let p be (-3 - 21/9)*m. Suppose -4*a + 4*z + 92 = z, 5*a + z = p. Calculate the remainder when a is divided by 11.
9
Let d(w) = w**3 - 2*w**2 + 3*w + 3. Let k(f) = -f**2 - 13*f - 9. Let n be k(-12). Let c = 2 + 59. Calculate the remainder when c is divided by d(n).
19
Suppose 22*m - 176 = 6*m. Suppose 0 = -7*c + m*c - 116. What is the remainder when 85 is divided by c?
27
Suppose 448 = 18*w - 2. Calculate the remainder when 34 is divided by w.
9
Let k = -282 + 290. Calculate the remainder when 30 is divided by k.
6
Let r = -11 - -15. Let p(s) be the second derivative of s**4/4 + 2*s**3/3 + s**2/2 + 25*s. Calculate the remainder when p(r) is divided by 22.
21
Suppose 157*u - 167*u = -160. Calculate the remainder when 151 is divided by u.
7
Let i(p) = -4*p + 8. Let n be i(4). Calculate the remainder when 10 is divided by (-16 + 2)/(-10 - n).
3
Let l(v) be the first derivative of 68*v**3/3 - v**2/2 + 1. Suppose 9*d - 116 = 10. What is the remainder when l(1) is divided by d?
11
Suppose -167 = -5*c - 17. Let a = 1668 - 1649. What is the remainder when c is divided by a?
11
Suppose u = 4*i - 8, 3*u + 4*i = 10 - 2. Suppose 2*h = -4*p + 6*p + 76, 2*h - 5*p - 61 = u. What is the remainder whe