ird derivative of -h**6/120 - 3*h**5/20 + 17*h**4/24 - 3*h**3/2 + 54*h**2. Calculate the remainder when t(-11) is divided by 12.
10
Let n(i) = -i**3 - 8*i**2 + 9. Let h be n(-8). Let z = h + 9. What is the remainder when ((-2 - -53)/3)/(5/15) is divided by z?
15
Let c(u) = 5*u**2 - 4*u - 3. Let f = 103 + -100. What is the remainder when 41 is divided by c(f)?
11
Let y be (-1 - (-6)/4)*6. Suppose -y*k + 10 = -5. Suppose 5939 = 14*v + 5715. What is the remainder when v is divided by k?
1
Suppose -16 = -3*j + 2. Suppose -2*n + j = -5*f + 7*f, 2 = -2*n + 2*f. What is the remainder when 3 is divided by n?
0
Let o = 7 - 22. Let s be (-459)/o + (-4)/(-10). Let w = 56 - s. Calculate the remainder when w is divided by 13.
12
Let c = 408 + -398. Calculate the remainder when 59 is divided by c.
9
Let f(o) = 12*o**2 + 15*o + 25. What is the remainder when f(-4) is divided by 84?
73
Let y(p) = -4*p + 14. Let v be y(-5). Let b = v + -28. Calculate the remainder when 23 is divided by b.
5
Let w = 233 + -227. What is the remainder when 178 is divided by w?
4
Suppose 7*a - 66 - 60 = 0. What is the remainder when 142 is divided by a?
16
What is the remainder when 27 is divided by (-16)/(0/(-7) - 2)?
3
Let s = 2050 - 2033. What is the remainder when 26 is divided by s?
9
Let s be 27/18*4*1. Let h(u) = -u + 28. Calculate the remainder when h(s) is divided by 6.
4
Suppose -84 = 3*l - 31*l. What is the remainder when 10 is divided by l?
1
Let j(w) = w - 2*w**2 - w - 1 + 5*w**3 - w. Let p(s) = 4*s + 116. What is the remainder when j(2) is divided by p(-25)?
13
Let j be 301/(4/(7 + -3)). Suppose x + 5*r = j, 2*x + 289 = 3*x - r. Suppose 2*m + 8 - 161 = -g, 0 = 4*m - g - x. What is the remainder when m is divided by 25?
24
Let l(x) = x**2 - 8*x - 1. Let q be l(8). What is the remainder when (-45)/3*110/(-30) - 5 is divided by ((-26)/q)/(4 - 2)?
11
Let h be (-1640)/(-30) + (-2)/3. Suppose -3*u + 0*u - 5*a + h = 0, 36 = 2*u - 4*a. Let q = -16 - -26. Calculate the remainder when u is divided by q.
8
Suppose -m + 12 = 8, 0 = 3*u + 4*m - 502. Calculate the remainder when u is divided by 41.
39
Suppose -3*z = 3*z - 18. Suppose -118 = -2*x + 4*b, 4*x - 2*b - 263 = z. Suppose 2*t - x = t. What is the remainder when t is divided by 24?
21
Suppose 10*x + 523 = 533. Let o(i) = i**2 + 6*i + 2. Let h be o(-6). What is the remainder when x is divided by (2 - h - 1)*-1?
0
Suppose -22*w + 29*w = 42. What is the remainder when 7/21 + 64/6 is divided by w?
5
Let d = 5 - 3. Suppose 7*c - 30 = d*c. Suppose 0 = 51*p - 42 - 205 - 212. What is the remainder when p is divided by c?
3
Let x be (-24)/(-16)*8/3. Suppose 2*m + 4*w - x = 0, -m + 0*w + 9 = -5*w. Suppose 2*z - m*z = -58. Calculate the remainder when z is divided by 16.
13
Let i = 35 - 20. Let k be ((-76)/(-6) + 2)*48/4. Suppose k = 18*w - 14*w. Calculate the remainder when w is divided by i.
14
Let i(z) = -23*z + 18. Calculate the remainder when i(-5) is divided by (28/98)/(1/7) - -43.
43
Suppose 17*o = 39*o - 792. What is the remainder when (8/12)/(1/180) is divided by o?
12
Let k(y) = 4*y - 3. Let w be k(2). Suppose 0 = 5*d - g - 21, -w*d + 3*g + 8 + 15 = 0. Calculate the remainder when ((-39)/(-9))/((-1)/(-3)) is divided by d.
1
Suppose 0 = -17*i + 19*i + 10. What is the remainder when 14*3/((-6)/i) is divided by 19?
16
Suppose 963*r - 975*r + 2880 = 0. What is the remainder when r is divided by 61?
57
Suppose r = 17 - 3. Suppose 3*x = p - 8, -3*p - 1 = 2*x - r. Suppose -p*l + l = -44. Calculate the remainder when 30 is divided by l.
8
Let c be 1/(-2 - 22/(-10)). Suppose 0 = -c*b + 368 + 37. Let r = -54 + b. Calculate the remainder when r is divided by 14.
13
Suppose 0 = -14*q + 9*q + 45. What is the remainder when q + -4 + -2 - -99 is divided by 35?
32
Suppose 177 = 5*h + 27. What is the remainder when 85 is divided by h?
25
Let x(k) = -k**3 + 7*k**2 + 10*k - 12. Let m(s) = -s**2 - 4*s. Let z be m(-4). Let t = 2 - z. What is the remainder when x(8) is divided by t?
0
Calculate the remainder when 149 is divided by -12*(-8)/(24/11).
17
Let w = 1181 + -1145. What is the remainder when 135 is divided by w?
27
Suppose 0 = 4*g - 4, b - 4*g - 39 = -0*g. What is the remainder when 254 is divided by b?
39
Let n = 16 + -23. Let u(s) = s**2 + 5*s - 2. Calculate the remainder when 42 is divided by u(n).
6
Let d = 759 - 637. Calculate the remainder when d is divided by 37.
11
Let j(i) = i**2 + 5*i - 21. Let b be j(-12). Suppose 0 = -3*n + 5*u - 0*u + b, -3*n = 5*u - 63. Calculate the remainder when 78 is divided by n.
15
Suppose -4*y - 76 = 2*d - 514, 4*d - 2*y = 836. What is the remainder when 431 is divided by d?
9
Let i = 182 + -174. What is the remainder when i is divided by 3?
2
Let t be (-2 + 1)*122/(-1). Suppose -2*h + 5*j = 7*j - 16, -2 = -2*j. Calculate the remainder when (-2)/10 - t/(-10) is divided by h.
5
Suppose 5*p = 4*m - m + 105, 5*p + 5*m - 65 = 0. What is the remainder when 67 is divided by p?
13
Suppose 3*a + 26 = 23. What is the remainder when 122 is divided by -14*((-4 + 1 - a) + 1)?
10
Suppose -3*v + 135 = -5*j, 2*v - j = -7 + 97. Suppose -4*y = -32 - 32. What is the remainder when v is divided by y?
13
Let p(r) = r**3 - 8*r**2 + 2*r - 13. Let y be p(7). Let f = y - -77. What is the remainder when 84 is divided by f?
26
Suppose -52 = -3*i + 2*i - z, 0 = -3*i - 4*z + 159. Calculate the remainder when 683 is divided by i.
46
Suppose 0 = 29*c - 33*c + 1116. Calculate the remainder when c is divided by 70.
69
Suppose -3*s + 2*z + 155 = 0, -2*s - 4*z + 145 = 47. Calculate the remainder when 241 is divided by s.
37
Suppose 16 = 4*q, -2*d = -q + 2*q - 48. What is the remainder when 219 is divided by d?
21
Let d = -23 - -42. Let g(a) = 2*a**2 + a + 8. Suppose 2*k = 2*h - 4*h - 2, -28 = 3*k - 2*h. What is the remainder when g(k) is divided by d?
17
Let f = -53 - -53. Suppose z = 4*w + 1 - 8, f = 2*z + 5*w - 12. Calculate the remainder when 3 is divided by z.
0
Suppose -5*z + 8 = -2. Suppose -3*p + z*p = -9. Calculate the remainder when 32 is divided by p.
5
Let c = -144 + 415. Suppose -4*d - 3*t = -c, 12 = -d - 5*t + 101. What is the remainder when d is divided by 22?
20
Calculate the remainder when 92 is divided by 173/9 + (16/18)/(-4).
16
Suppose -4*h + 20 = -4*m, 5*m - 2 - 21 = -h. What is the remainder when 61 is divided by h/(1 - (-6)/(-8))?
29
Let v(b) = -b + 7. Let s be v(4). What is the remainder when 223 is divided by (s + -48)*6/(-18) + -1?
13
Let b(u) = -3*u + 9. Let t(a) = -a + 4. Let y(p) = -6*b(p) + 13*t(p). Let n be y(1). Suppose 0 = -n*h + h + 22. Calculate the remainder when 41 is divided by h.
8
Calculate the remainder when 166/6 + (0 - 6/9) is divided by 10.
7
Calculate the remainder when 27 is divided by (-2 + 60/25)*10/4.
0
Suppose -4*i = -8, 0 = 4*f + 2*i + 3*i - 42. Suppose f*s = 3*s + 1260. Suppose -9*z + s = -2*z. Calculate the remainder when z is divided by 10.
6
Let z(n) = 3*n**2 - 12*n + 4. Let o be z(9). Suppose 110 = 3*x - 2*k, 4*x + 3*k = -2*k + o. Calculate the remainder when 140 is divided by x.
32
Let a(t) = -t**3 + 8*t**2 + 5*t - 31. Let w(f) = -2*f**3 - 5*f**2 + 8*f + 3. What is the remainder when w(-5) is divided by a(8)?
7
What is the remainder when (344/6 - 27/81)/1 is divided by 21?
15
Let q(z) = -2*z**3 - 3*z**2 + 239*z + 695. Calculate the remainder when (0 - -3)*8/3 is divided by q(-3).
3
Let p(z) = 10*z**2 - z - 5. What is the remainder when 184 is divided by p(-2)?
36
Let l(a) = -a**3 + 10*a**2 - 11*a + 11. Let p be l(9). What is the remainder when 129 is divided by (73 + p)*(0 + 3/6)?
30
Suppose 85 - 30 = 5*s. Let z = 4 - s. Let x = 67 + z. What is the remainder when x is divided by 31?
29
What is the remainder when 34/(-340) + 4804/40 is divided by 26?
16
Let v = 308 - 82. Suppose -11*k + v = -9*k. Calculate the remainder when k is divided by 19.
18
Let k be (-1)/4 - (-78)/(-8). Let l be k/(-4) - 45/(-30). Suppose 20 + l = 2*v. Calculate the remainder when 22 is divided by v.
10
What is the remainder when 158 is divided by 10908/198 - (-2)/(-22)?
48
Suppose n - 5*r = -268, 3*n = -3*r - 962 + 86. What is the remainder when ((-1)/(-1))/(n/58 - -5) is divided by 12?
5
Suppose 20*j = 25*j - 15. Suppose -j*b + 62 = 2*z - 0*b, -2*b = -8. Suppose -4*f - 98 = -6*f. Calculate the remai