n(a) = a**2 - 16*a - 15. Let f = -41 + 58. Let j be n(f). What is the remainder when 89 is divided by -1*j*23/(-2)?
20
Let s = 735 - 472. Calculate the remainder when s is divided by 125.
13
Suppose 2*c = -u - c + 14, -32 = -5*u + 4*c. Suppose -4*o + u = -20. Suppose 5*f - 3*f - 10 = 0, -4*g + 5*f = -o. What is the remainder when 13 is divided by g?
5
Let r(w) = 61*w - 11. What is the remainder when 349 is divided by r(1)?
49
Suppose -44*i = -32*i - 708. What is the remainder when i is divided by 23?
13
Let x be (-6)/(-21) + 19/7. Let o = 14 - x. Calculate the remainder when o is divided by 4.
3
Suppose -109 = 5*s + 4*v, -18 = s - 0*s - 3*v. Let y be (30/s - -2)*7. What is the remainder when 27 is divided by ((-2)/(-2))/(y/28)?
6
Let r(w) = w**2 - 2*w - 27. Calculate the remainder when 60 is divided by r(8).
18
Suppose -6*w + 2*w + 24 = 0. Let f = 4 + w. Let m = 58 - 41. What is the remainder when m is divided by f?
7
Let k(m) = -m**3 - 9*m**2 - 11*m - 1. Let s be k(-8). Let q = -15 + s. Suppose -14*r - 25 + 109 = 0. What is the remainder when q is divided by r?
2
Let p = -106 - -133. What is the remainder when 186 is divided by p?
24
Suppose 23*a - 293 = 121. What is the remainder when 45 is divided by a?
9
Suppose -5*i - 592 = -5*q - 9*i, -5*q + 2*i + 604 = 0. Calculate the remainder when q is divided by 41.
38
Suppose 23 = -3*b + 6*b + c, 5*c = -4*b + 49. What is the remainder when 19 is divided by b?
1
Let n = 2353 + -2341. Suppose 0 = 2*y - 6*y + 3*a + 125, 2*y = -2*a + 80. What is the remainder when y is divided by n?
11
Let r = 345 + -221. What is the remainder when r is divided by 44?
36
Suppose -128 = -16*l + 12*l. Let x = l - 17. Let v = -82 - -139. Calculate the remainder when v is divided by x.
12
Suppose -b = b + 6, -b - 208 = -5*u. Let c(w) = w**2 - 9*w + 4. Suppose 9*m - 27 - 63 = 0. What is the remainder when u is divided by c(m)?
13
Let g = -49 + 56. Let j(p) = 2*p - 1. Suppose -3*t + 23 = -85. Calculate the remainder when t is divided by j(g).
10
Let l be 1*(-2)/4*4. Let k(j) = 3*j**3 + 3*j**2 - 2*j + 4. Let c(z) = -z**3 + 1. Let p(d) = l*c(d) + k(d). What is the remainder when p(2) is divided by 13?
11
Let p be -1 - -3 - 1/(-1). Let b = -25 - -113. Suppose p*z - b = -z. Calculate the remainder when 41 is divided by z.
19
Let m(r) be the first derivative of r**3/3 - 7*r**2 - 46*r - 30. Calculate the remainder when 75 is divided by m(18).
23
Suppose 0 = -87*v + 84*v + 249. Calculate the remainder when v is divided by 8.
3
Let x(c) = 2*c**2 - 8*c - 16. Calculate the remainder when 127 is divided by x(-2).
7
Let t(c) = -c**3 + 5*c**2 + 7*c + 4. Let r be t(6). Let s = 7 - r. Calculate the remainder when 17 is divided by (-4)/(12/s)*7.
3
Let i(m) = m + 1. Let p be i(-4). Let k = 30 + p. Let b = k - -18. Calculate the remainder when b is divided by 16.
13
Let n(z) = z**2 + 3*z - 14. Let g = 12 + -18. What is the remainder when (0 - 1)*-6 + 0 is divided by n(g)?
2
Let q = 1332 + -781. Suppose -8*b + q - 135 = 0. What is the remainder when b is divided by 18?
16
Let y = 60 + -27. Let m = -16 + y. What is the remainder when (498/(-12))/((-2)/4) is divided by m?
15
Let v(j) = j**3 - 7*j**2 + 11*j - 91. Calculate the remainder when v(8) is divided by 33.
28
Let l = -41 + 121. Let s = l - 56. What is the remainder when s is divided by 9?
6
Suppose -10 = -5*y + 30. Suppose -133 = -2*z + 5*k, 17*z + 4*k + 182 = 20*z. Calculate the remainder when z is divided by y.
6
Let b(g) = 4*g**3 + 3*g - 6. Let d = 35 + -24. What is the remainder when b(2) is divided by d?
10
Suppose 4*s - 4 = -3*x, -4*x = 3*s - 5*s - 20. What is the remainder when -3 + 3 + 26 - (s - -5) is divided by 8?
7
Suppose 0 = -5*v + 7 - 22, 0 = -t - 3*v - 5. What is the remainder when 21 is divided by ((-2)/t)/((-22)/484)?
10
Let x(p) = -p - 2. Let f be x(-4). What is the remainder when (276/(1 - -2))/f is divided by 8?
6
Suppose -4*f + 39 - 3 = 0. Let h(v) = -v**2 - 13*v - 6. What is the remainder when h(-5) is divided by f?
7
Suppose -3*g - n + 317 = 40, -g + 91 = -n. Calculate the remainder when g is divided by 38.
16
Let w(j) = -2*j**2 - 2*j + 1. Let i be w(-2). Suppose 3*h + t - 36 = -2*t, -2*t = 4. What is the remainder when h is divided by ((-9)/(-2))/(i/(-4))?
2
Let b(d) = d - 1. Let u(g) = -7*g + 12. Let a(h) = -3*b(h) - u(h). Calculate the remainder when a(14) is divided by 24.
23
Let l = 12 + 21. Calculate the remainder when 63 is divided by l.
30
Suppose -4*k - r + 160 = r, 5*k - 2*r - 182 = 0. Let c = -4592 - -4603. What is the remainder when k is divided by c?
5
Let a = -87 + 90. What is the remainder when 73 is divided by a/(((-8)/60)/((-6)/9))?
13
Let l = -2 + 8. Suppose g + l = -9. Let x = -5 - g. What is the remainder when 18 is divided by x?
8
Let a = -37 + 238. What is the remainder when a is divided by 29?
27
Suppose 45*f = 40*f + 25. Suppose 0*k - 120 = -f*k. Calculate the remainder when 69 is divided by k.
21
Let i(j) = 6*j**2 - 2*j + 1. Let t be i(1). Suppose g = -2*n + 2*g + 149, t*n - 5*g - 375 = 0. What is the remainder when n is divided by 25?
24
Suppose -o + 5*r + 51 = 0, 5*o - 2*r + 37 = 200. What is the remainder when 151 is divided by o?
27
Suppose -5*l - 3*u = -83, 2*l - u + 0*u = 42. Let b be 88*(-5 + 91/14). Calculate the remainder when l is divided by b/28 - (-10)/35.
4
Calculate the remainder when 402 is divided by 102 - (-2 - (-12)/6).
96
Suppose k = -2*s + 6, 4 + 6 = -5*s. Let y(g) = g**2 + 7*g - 11. Let q be y(-8). What is the remainder when k is divided by (q/2)/(3/(-6))?
1
Let m = 1632 + -360. Suppose h = 4*h - 3*g - m, -3*h + 4*g = -1273. What is the remainder when 13 is divided by h/54 - 2/(-12)?
5
Let r(c) = -c**3 + 9*c**2 + 3*c + 2. Suppose 3*i + 1 - 13 = 0. Suppose 40 = i*t + t. Calculate the remainder when r(9) is divided by t.
5
Suppose -836 = -4*j + 4*z - 0*z, 5*z - 20 = 0. What is the remainder when j is divided by 43?
41
What is the remainder when 2 + (-1754)/(-4) + 25/(-10) is divided by 44?
42
Suppose 23*k - 7*k = 1200. Let l be 2*(2 - 0/2). Suppose -j - 78 = -l*j. What is the remainder when k is divided by j?
23
Let t(h) = -5*h**3 - h**2 + 1. Suppose 0 = -4*d + a - 10, -7*a = -2*a - 10. What is the remainder when 4/4 + 20 + d is divided by t(-1)?
4
Let o be (-2)/(-8) - 5/4. What is the remainder when 53 is divided by 164/12 - o/3?
11
Let f(r) = 1 + 0 - 2*r - 3*r**2 + 2*r**2 + 2*r**2. What is the remainder when (1 - 2/(-2))*8 is divided by f(-2)?
7
Let y be (-16)/88 + (-2118)/(-33). Suppose 5*p - 3*r - 11 = y, r = 5. Calculate the remainder when 69 is divided by p.
15
Let j(y) be the third derivative of -y**6/120 - y**5/12 - y**4/8 - 5*y**3/3 + 2*y**2. Calculate the remainder when 18 is divided by j(-5).
3
Suppose -2*a - 449 = -853. Calculate the remainder when a is divided by 7.
6
Let g(j) = -4 + 9*j - 8*j**2 + j**3 - 4 + 4 - 6. Let q be g(7). Suppose -w + 15 = -q. Calculate the remainder when w is divided by 5.
4
Calculate the remainder when 108 is divided by 39*((-5)/25)/(9/(-15)).
4
Let a(z) = 2*z**2 + 6*z - 51. Calculate the remainder when a(-9) is divided by 15.
12
Calculate the remainder when (5592/120)/(1 + (-8)/10) is divided by 59.
56
Let g = 37 + -35. Suppose -d - 2 = -3*d. Let b = d + g. Calculate the remainder when 8 is divided by b.
2
Let k(y) = y**2 + 0*y**2 + 1 + 2. Let o = -217 - -211. What is the remainder when k(o) is divided by 20?
19
Suppose 2*b - 163 = z + 4*z, 4*b - 3*z - 361 = 0. What is the remainder when b is divided by 19?
18
Let q(t) = 2*t**2 - 9*t - 8. Let i be 14*3/18*3. Let x = -10 - -24. Calculate the remainder when q(i) is divided by x.
13
Suppose 5*k = -2*j - 121, -2*j + k - 116 = 5*k. Let c = 63 + j. What is the remainder when c is divided by 6?
3
Let y be (0 - -3) + 1 + 1256. What is the remainder when 137 is divided by (2/6)/(12/y)?
32
Suppose -376 = 2*t + 2*b, 2*t - 563 = 5*t + 4*b. Let v = -183 - t. Suppose -1 + 11 = i. What is the remainder when i is divided by v?
4
Suppose 4*y + c + 0 = 175, -5*c - 160 = -3*y. Suppose -4*x + y = -127. Let t(z) = z**3 - 4*z**2 - 4*z + 6. Calculate the remainder when x is divided by t(5).
10
Let i = -28 + 59. Let d(s) be the first derivative of s**4/4 + s**3/3 - s**2/2 + 8*s + 1. Calculate the remainder when i is divided by d(0).
7
Suppose 2*h - 2