emainder when a(9) is divided by 41.
5
Let r(m) = m + 13. Let b be r(-9). Suppose -5*n = -2*x + 5, -3*n + b = -2*x + 7. Suppose x = -v - 3*v + 172. Calculate the remainder when v is divided by 22.
21
Suppose k + k + 2 = -x, 2*k - 2 = -2*x. Let y(j) = j**2 - 4*j - 10. What is the remainder when k - ((-368)/(-24))/(2/(-6)) is divided by y(7)?
10
Let v be 6/3*(-3)/(-3). Let q(t) = -3 - 3 + t**v + 0 - 5*t + 3. Calculate the remainder when q(-5) is divided by 24.
23
Suppose 3*j = -2*j + 40. Let v = 804 + -794. Calculate the remainder when v is divided by j.
2
Let g(d) = d**2 - 11*d - 5. Let x be g(12). Suppose -9*n + 48 = -x*n. Let i(m) = -m**3 - 10*m**2 + 13. Calculate the remainder when n is divided by i(-10).
11
What is the remainder when 66 is divided by -50*(45/10)/(-9)?
16
Let p = -1017 - -1200. Calculate the remainder when p is divided by 48.
39
Suppose -3*i - 5*o + 48 = 0, 4*o + 46 = 3*i - 2. Suppose t - 3*d = 9 + i, -t + 17 = -d. What is the remainder when 24 is divided by t?
11
Let u = -20 + 24. Suppose j + u*j = 140. Let o(a) = a - 1. Calculate the remainder when j is divided by o(11).
8
Suppose -3*d + 6*d - 10 = -u, 5*d + 23 = 4*u. Let n(k) = 42*k**2. Let y be n(-1). What is the remainder when (-432)/(-21) - 24/y is divided by u?
6
Let b(y) be the second derivative of y**4/12 - y**3/2 + 2*y**2 + y + 1. What is the remainder when 8 is divided by b(2)?
0
Let y = 1650 + -1603. What is the remainder when 95 is divided by y?
1
Suppose -11*a + 66 = -99. Calculate the remainder when 127 is divided by a.
7
Let a(y) = 2*y + 78. What is the remainder when 168 is divided by a(-17)?
36
Let y = 674 - 569. Calculate the remainder when y is divided by 82.
23
Let a = 14 + -11. What is the remainder when a is divided by ((-1)/(-8))/((-19)/(-152))?
0
Let v = 26 + 179. What is the remainder when v is divided by 2240/100 + (12/(-5))/(-4)?
21
Calculate the remainder when (-787)/(-3) + 1 - (-4)/(-12) is divided by 53.
51
Let u be (-1626)/(-18) - 1/3. Suppose -u = -2*s - s. What is the remainder when 16 is divided by 15*6*3/s?
7
Let v(r) = -23*r - 3. Let l = 13 + -2. Calculate the remainder when v(-2) is divided by l.
10
Suppose -435 + 96 = -5*i + 2*j, -4*i = -3*j - 274. Calculate the remainder when 868 is divided by i.
64
Let m = -673 - -703. What is the remainder when 113 is divided by m?
23
Let q = 35 + -32. Suppose u - 2*o - 36 = -u, 54 = q*u - o. Calculate the remainder when u is divided by 7.
4
Calculate the remainder when 166 is divided by -3*(176/(-33) - 4).
26
Let q(z) = 2*z**2 - 4*z + 5. Let w be q(2). Suppose 34 + 26 = w*t. What is the remainder when 23 is divided by t?
11
What is the remainder when 97 is divided by (5 + -11 + 18 + -5)/1?
6
Let k(g) be the first derivative of g**2 - 8*g + 3. What is the remainder when 2/(-3)*21/(-1) is divided by k(6)?
2
Let o = -7 - 2. Let z = 22 - o. Calculate the remainder when z is divided by 7.
3
Calculate the remainder when 722 is divided by (-55)/10*2 + 39.
22
Suppose 283*p - 279*p - 304 = 0. What is the remainder when p is divided by 27?
22
Let i(w) = -4*w + 97. Let d(o) = -2*o**3 - 5*o**2 - 4*o - 2. What is the remainder when i(15) is divided by d(-3)?
18
Suppose t - 2*t + 133 = 0. Suppose 5*p - t = -3*m, 3*m - 13 - 123 = -2*p. Calculate the remainder when m is divided by 16.
14
Suppose 5*i + 2*k - 67 = -0*i, 0 = -2*i - 2*k + 22. Suppose -3*a - 39 = -3*h - h, i = 5*a. What is the remainder when 117 is divided by h?
9
Let l(r) = r**3 - 14*r**2 + 34*r + 7. Calculate the remainder when 87 is divided by l(11).
15
Suppose -56 = -4*t - 0*t. Let h(g) = -2*g - 6. What is the remainder when t is divided by h(-5)?
2
Suppose -19*q - 26 = -235. Suppose -5*l = -l + 5*n - 120, -150 = -5*l - 4*n. What is the remainder when l is divided by q?
8
Suppose 5*v - 23 - 2 = g, 5*v + 2*g - 10 = 0. Let i(c) = 8*c**2 - v - 7*c - 6*c**3 + 7*c**3 + 1. What is the remainder when i(-8) is divided by 8?
5
Let z(f) = -f**3 + 3*f**2 + 4*f + 1. Let l be z(4). Suppose 2 = -i + l. What is the remainder when (2 - i)/((-3)/(-15)) is divided by 8?
7
Let c be (0 - 1)/((-2)/(-12)). Let u = 11 + c. Suppose 2*n - 74 = 4*s, u*n + 4*s - 42 = 87. What is the remainder when n is divided by 10?
9
Let p(b) = 2*b**3 - 15*b**2 - 26*b + 9. What is the remainder when 151 is divided by p(9)?
7
Let i be 30/8 - 18/24. Suppose -a + 1 = -i. Calculate the remainder when 5 is divided by a.
1
Let m be 250*(-3)/(-6)*(1 - 0). Let p = m + -12. What is the remainder when p is divided by 38?
37
Suppose -63*x + 58*x - 2*s = -60, -3*x + 2*s + 20 = 0. Let a = 25 - 54. Let w = 10 - a. Calculate the remainder when w is divided by x.
9
Suppose 0 = 6*p - 2*p - 20. Suppose 2*s - 5*w + 0 = 16, -s = p*w - 23. Calculate the remainder when s is divided by 5.
3
Let d(p) = -2*p**3 - 9*p**2 - 7*p + 3. Calculate the remainder when d(-4) is divided by 10 + (-2 - (-3)/(-3)).
1
Let w(f) = -23*f + 15. Let h(p) = -8*p + 5. Let j(k) = -17*h(k) + 6*w(k). Calculate the remainder when 73 is divided by j(-7).
16
Let g = -9 + 19. Let c(i) = -i**3 + 8*i**2 - 8*i + 26. What is the remainder when c(4) is divided by g?
8
Suppose 0 = 12*m - 3986 - 2458. What is the remainder when m is divided by 16?
9
Suppose 0 = 2*i + 1 + 29. What is the remainder when 43 is divided by (54/i)/(6/(-15))?
7
Suppose 5*r - 4*r + 2 = 0. Let c be r/(-7) + 162/21. Suppose -c + 2 = -2*y. Calculate the remainder when 14 is divided by y.
2
Let o(u) = -u**2 + 7*u. Let z be o(6). Suppose 5*g - 2*c - 38 = z, -g + 14 = -3*c. What is the remainder when 39 is divided by g?
7
Let f(a) = a + 9. Let m be f(10). Let x(l) = l**3 - 11*l**2 - 14*l + 10. Let c be x(12). Let t = m + c. What is the remainder when t is divided by 2?
1
Suppose 3*w = 5 + 4. Suppose -r = -3*r + 4. What is the remainder when w is divided by r?
1
Let b = -39 + 77. Calculate the remainder when 374 is divided by b.
32
Let k be (-17)/(833/(-2226)) - 4/(-7). Suppose n = k + 7. What is the remainder when n is divided by 18?
17
Suppose -6*p = -11*p + 600. Suppose 3*f = k - 35, 3*k - 4*f + 0*f - p = 0. What is the remainder when k is divided by 15?
14
Let p = -18 - -16. Suppose -2*x + 48 - 10 = 0. Calculate the remainder when p - (-1 + -4) - -34 is divided by x.
18
Let n be (259/21)/(1/9). Let k = -61 + n. Calculate the remainder when 247 is divided by k.
47
Suppose 2*b + 2*z = 86 + 68, 2 = -2*z. Let q(r) = -7*r + 8. Let g be q(-6). Calculate the remainder when b is divided by g/2 - (-4)/2.
24
Suppose 2*k + 2*i = 20 + 34, i = 2*k - 48. Let t = 407 - 284. What is the remainder when t is divided by k?
23
Suppose 4*v + 25 - 1 = 0. Let b(m) = -2*m - 4. What is the remainder when 45 is divided by b(v)?
5
Suppose 23*l - 825 - 348 = 0. What is the remainder when l is divided by 18?
15
Let j(x) = 6*x - 8. Let v be 5 - 1/(2 + -1). Let m be j(v). Suppose -m = -4*o + 2*k + 28, 3*o - 35 = k. What is the remainder when 37 is divided by o?
11
Suppose 3*o - 183 = 5*g - 8*g, 3*g = 5*o + 207. Calculate the remainder when g is divided by 13.
12
Suppose g - 40 = -3*g. Let j(t) = 2*t**2 + t + 1. Let a(x) = x**2 - 5*x. Let m be a(4). Calculate the remainder when j(m) is divided by g.
9
Let q = 26 - -29. Suppose -2*j = 3*v - 4*v + q, 4*v + 4*j = 196. Calculate the remainder when v is divided by 13.
12
Let s(d) = -2*d**2 + 28*d - 5. Let w be s(13). Suppose 23*u = w*u + 196. Calculate the remainder when u is divided by 20.
18
Let n(c) = -c**3 + 31*c**2 + 38*c - 129. What is the remainder when n(32) is divided by 32?
31
Let g(w) = 2*w**2 - 7*w - 2. Let y = 47 - -51. Suppose 2*s - 2 - y = 0. What is the remainder when s is divided by g(5)?
11
Suppose 262 = 4*i + 26. Suppose i = o - 4*h + 19, 3*o = -3*h + 60. Let y = 12 + 58. Calculate the remainder when y is divided by o.
22
What is the remainder when 680 is divided by (3/15 - 210/50) + 16?
8
Let j = 14 - 2. Suppose -q = -2*l - j, 5*l = -3*q - 64 + 12. What is the remainder when 43 is divided by 3*-2*20/l?
13
Let p = 1718 + -1709. What is the remainder when 3643 is divided by p?
7
Let p be 8/(-10)*(-100)/8. Suppose 4*f = p + 10. Let g(r) = 2*r**2 - 6. What is the remainder when g(3) is divided by f?
2
Let z = 458 - 438. What is the remainder when z is divided by 6?
2
Suppose 41*b - 25 = -3*m + 46*b, 5*m - 2*b = 48. Calculate the remainder when