
18
Let f(x) be the third derivative of x**6/120 - 11*x**5/60 + 13*x**4/24 + 11*x**3/3 - 42*x**2. What is the remainder when f(11) is divided by 42?
39
Let i(q) = q**2 + 79*q - 336. Let a be i(4). Suppose 2*y + 39 = -81. What is the remainder when (a - -5)/((-1)/y) is divided by 31?
29
Let n = 225 + -221. What is the remainder when 36 is divided by n?
0
Let z be (34/(-3))/(22/(-33)). Let a(o) = -o + 31. Calculate the remainder when 24 is divided by a(z).
10
Let g(s) = 22*s + 1. Calculate the remainder when g(1) is divided by (-2)/((-2 + 3)*(-5)/40).
7
Let j be (-116)/8*-2*3. Let c = j - 62. Calculate the remainder when c is divided by 13.
12
Let u(f) = 3*f**2 + 18*f - 32. What is the remainder when u(-11) is divided by 33?
1
Let g(y) = -2*y - 11. Let j(m) = 3*m + 11. Let q(v) = 5*g(v) + 6*j(v). What is the remainder when q(5) is divided by 18?
15
Let s = -12 + -8. Let h = -6 - s. What is the remainder when h is divided by (-18)/(-5) - (-22)/55?
2
Suppose -2*b = y - 137, -2*b - 121 = 2*y - 3*y. Let j = -2674 + 2707. What is the remainder when y is divided by j?
30
Suppose 4*v = 6*v - 8. Calculate the remainder when v/8 - (-270)/12 is divided by 12.
11
Let m = 57 + -74. Suppose -f = -4*f + 3*q - 18, 24 = -4*f + q. Let p = f - m. What is the remainder when p is divided by 3?
2
Let i = 362 + -346. What is the remainder when 141 is divided by i?
13
Let d be 4/14 + (-2464)/49. Let x = -42 - d. Calculate the remainder when 46 is divided by x.
6
Let d be (525/(-60))/((-2)/16*-2). Let l = 36 + d. Calculate the remainder when 5 is divided by l.
0
Suppose 36 - 119 = -w. Let z = -191 - -219. What is the remainder when w is divided by z?
27
Calculate the remainder when 16 is divided by 117/15 + (648/(-45))/(-12).
7
Suppose -5*b + 72 = -b. Let f = b + -12. Suppose 5*r - 3*z - 32 = 0, 0 = -z - f + 2. What is the remainder when 15 is divided by r?
3
Let w be (-1)/(1 + -5 - -3). Suppose 2*a + 4*d = 5*a - w, -3*d + 3 = -a. Let j(m) = m**2 + m - 2. Calculate the remainder when 18 is divided by j(a).
8
Calculate the remainder when (-21330)/25*(-10)/6 is divided by 57.
54
Suppose 0 = 7*k - d - 3*d - 226, 0 = 5*k - 4*d - 166. Suppose 7*n + 5*t - 473 = 3*n, -349 = -3*n + 2*t. What is the remainder when n is divided by k?
27
Let d be (1 - 5)/(1*6/(-9)). Suppose i - 128 = -5*c, i - d*i - 60 = -3*c. What is the remainder when c is divided by 6?
1
Let x(n) = -n**3 - 3*n**2 - 5*n - 1. Suppose 0*d - 2*d - 8 = 0. Calculate the remainder when x(-5) is divided by d/(-6) + (-146)/(-6).
24
Let n be (-6)/(6/(-32) + 0). Suppose 4*q = n + 8. Suppose 1 = s, 4*a + 5*s - 68 = -39. Calculate the remainder when q is divided by a.
4
Let l be (-174)/24*(-1 - -5)*-3. Let k = l - 49. Calculate the remainder when k is divided by 8.
6
Let n = 12 + 6. What is the remainder when 12/n + (-169)/(-3) is divided by 20?
17
Let s be 4/(-6) - 85/(-15). Let a(d) = -d**2 - 4*d + 3. Let r be a(-4). Suppose -104 + s = -r*n. Calculate the remainder when n is divided by 12.
9
Let r = 19 + -23. Let m be (r/(-6))/(14/84). Suppose -4 = m*n - 6*o + o, -32 = -3*n - 5*o. Calculate the remainder when 10 is divided by n.
2
Suppose -3*o + p = -11, 0 = o - 5*p - 9 - 18. Let s(t) = 6*t - 3. Calculate the remainder when 1/((-3)/(-3))*43 is divided by s(o).
7
Suppose 0 = t - 30*i + 26*i - 1, 3*t - 17 = -2*i. Let j be 0/1*2/4. Suppose 6*z - 2*z - 8 = j. Calculate the remainder when t is divided by z.
1
Suppose -3*u - 2*f = 2*f - 26, 35 = 5*u + 5*f. Suppose u + 0 = 2*k. Calculate the remainder when 13 is divided by 7/k - (-3 - -5).
3
Let a = 26 - 28. Calculate the remainder when (-2 - a) + (15 - 6) is divided by 3.
0
Let m = 223 - 82. Let j = -102 + m. What is the remainder when 153 is divided by j?
36
Let c(l) = 14*l**2 + 22*l + 41. Calculate the remainder when c(-7) is divided by 41.
40
Let u = -139 - -188. Suppose 85 = 2*s + u. Let p = -64 + 133. What is the remainder when p is divided by s?
15
Let b be ((60/8)/(-1))/(12/(-8)). Let s(p) = p**3 + 7*p**2 - 11*p - 9. Let o be s(-7). Suppose t + o = b*t. What is the remainder when 67 is divided by t?
16
Suppose 19133 = 26*c + 4859. What is the remainder when c is divided by 69?
66
Let u = -2343 - -2430. What is the remainder when u is divided by 18?
15
Let n = -66 - -64. What is the remainder when 791/5 + (n/10 - 0) is divided by 40?
38
Suppose -3*i - 2 = -8. Calculate the remainder when (-245)/i*12/(-10) is divided by 30.
27
Let v(q) = -q**2 - 8*q + 67. Calculate the remainder when v(-11) is divided by 6.
4
Suppose -14*f + 436 = -15230. What is the remainder when f is divided by 102?
99
Let o = -17 - -37. Suppose 2*m + 28 = 5*m - 5*h, -2*h = 4*m - o. Suppose -2*f = -6*p + 2*p - 14, -p = 5*f - 90. Calculate the remainder when f is divided by m.
5
What is the remainder when 28/35*625/2 is divided by 18?
16
Let k(t) = 6*t**3 + t + 10. Let d(o) = -7*o**3 + o**2 - 11. Let m(w) = -5*d(w) - 6*k(w). Calculate the remainder when 18 is divided by m(-4).
0
Let h(c) = 74*c - 140. Calculate the remainder when h(5) is divided by 21.
20
Let j(i) be the third derivative of i**4/24 - 5*i**3/2 + 19*i**2. What is the remainder when 3 is divided by j(17)?
1
Let f be 97 - (4 + 0)/(-2). Let d = -25 - -23. Calculate the remainder when 8/d + f + -7 is divided by 30.
28
What is the remainder when 0 + 129 - 90/(-15) is divided by 62?
11
Let l = 299 + -233. Calculate the remainder when 146 is divided by l.
14
Suppose 5*a - 35 = 3*j, -2*j + 48 = 4*a - 2. Let s(d) = -d**3 - 13*d**2 + 2*d - 121. What is the remainder when s(-14) is divided by a?
7
Suppose 20 = w + 11. What is the remainder when 978/w + (-4)/6 is divided by 22?
20
Let a(c) = -c**3 + 13*c**2 - 21*c - 19. Calculate the remainder when 76 is divided by a(10).
5
Let p be 148/5 + 2/5. Suppose p = 2*g - 74. Suppose -1178*x + 1168*x + 270 = 0. Calculate the remainder when g is divided by x.
25
Let o = -650 - -657. Let p(g) = 9*g + 0*g**3 - 3 + 6*g**2 - g**3 - 3*g. What is the remainder when p(6) is divided by o?
5
Let f = 6 - 2. Let h = 127 - 115. What is the remainder when h is divided by f?
0
Let b = -49 + 150. Let y = -68 + b. Suppose 5*r - 22 = y. What is the remainder when 40 is divided by r?
7
Suppose 0*q + 5*q = -m + 60, -3*q = -3*m - 36. Let r = q + -4. What is the remainder when 13 is divided by r?
5
Let d = -19 + 205. What is the remainder when d is divided by 49?
39
Suppose 0 = p + 4*p - m - 5, m - 1 = 2*p. Let v = -10 + 37. Calculate the remainder when p is divided by 2/11 - v/(-33).
0
Let t(y) = -4*y - 51. What is the remainder when 130 is divided by t(-21)?
31
Suppose -5*x + 234 = b, -3*b - 239 = -5*x + b. Let j = 54 + -38. What is the remainder when x is divided by j?
15
Let n = 1 - -15. Let p be (n/(-20))/(6/(-45)). Suppose -2*q + 4*j = 10, 5*q - 3*j = -p + 16. What is the remainder when 19 is divided by q?
4
Suppose 4*i + d - 68 = 25, 3*d + 66 = 3*i. Calculate the remainder when 940 is divided by i.
20
Let s(y) = 33*y + 1. Let h(l) = -129*l + 18. Calculate the remainder when s(1) is divided by h(0).
16
Suppose 2*x - 2*q = -0*x + 326, -4*q = 2*x - 344. What is the remainder when x is divided by 37?
18
Let g(o) = -5*o - 4. Let s be g(-2). What is the remainder when 8/(-12) + 244/s is divided by 8?
0
Suppose -9*n = 286 - 1240. What is the remainder when n is divided by 11?
7
Suppose 2*c + 10*m - 13*m = 3297, -3*m + 8190 = 5*c. Calculate the remainder when c is divided by 31.
29
Suppose 2*u - 44 = 2*c - 4*c, -4*c + 20 = 0. Calculate the remainder when 168 is divided by u.
15
Let n = 1 - 4. Calculate the remainder when 1078/12 - ((-110)/(-60) - 1) is divided by 23 - 0*n/(-9).
20
Suppose -b - 102 = b. Let p = -37 - b. Suppose -5*z + 4*f + p = -1, -2*f = z - 17. What is the remainder when 19 is divided by z?
5
Suppose -11 = -5*p - 3*o, 5 = 5*p - o + 6*o. Suppose 0 = -3*x + d + 895, -4*x + p*d + 676 = -512. Calculate the remainder when x is divided by 50.
49
Suppose 0 = u - 19 + 5. Suppose 41*c - 13*c = 1092. Calculate the remainder when c is divided by u.
11
Suppose -8 = -4*n - 0*n. Suppose 5*j - 90 = n*j. Suppose -5*a + 0*a = -435. What is the remainder when a is divided by j?
27
Let i(v) = -v**2 - 5*v**2 + 3 + 5*v**2 + 10*v. Suppose 9*b - 5*b = 28. Calculate the remainder when i(9) is divided by b.
5
Let v = -6 + 10. Suppose