is divided by z(9).
2
Let a(q) be the third derivative of q**5/12 + q**4/12 + q**3 + 25*q**2. What is the remainder when a(4) is divided by 12?
10
Let y(j) = -15*j**3 - j**2 - 2*j - 1. Let w be (-3)/(-9) - (-20)/(-15). Let c be y(w). Let f = -2 + c. What is the remainder when 25 is divided by f?
12
Let h(y) = -9*y. What is the remainder when 24/(-8) + 27 + 0 is divided by h(-1)?
6
Let z = -1189 + 1273. Calculate the remainder when z is divided by 29.
26
Let y(m) = 3*m**3 - m**2 + 1. Let f be (17 - 15)/(1*2). What is the remainder when 8 is divided by y(f)?
2
Let c be ((-12)/(-14))/(18/84). Suppose t + 76 + 18 = c*y, -8 = -4*t. Calculate the remainder when 117 is divided by y.
21
Let k(n) = -2*n**3 - 7*n**2 + 14*n + 44. What is the remainder when k(-5) is divided by 17?
15
Let l(a) = a**2 + 4*a + 4. What is the remainder when 65 is divided by l(-4)?
1
Suppose 3*l = 2*c - 57, -c = -5*l + l - 41. What is the remainder when 144 is divided by c?
18
Let o = -4 - -3. Let d(a) = -9*a**3 - a**2 - 2*a - 1. Let q = 21 - 7. Calculate the remainder when q is divided by d(o).
5
Suppose 0 = 3*t + g + 3 - 1, -t - 4 = -3*g. Let l be 3*(2/1 + t). Let r(a) = a + 1. Calculate the remainder when 6 is divided by r(l).
2
Let c(m) = -m**3 - 12*m**2 - 7*m - 24. Let t be c(-12). Suppose 2*l - 4*l + t = 2*x, -5*x = -5*l + 160. Calculate the remainder when l is divided by 16.
15
Let b = -107 + 168. Calculate the remainder when b is divided by 5/15 - (4 + 222/(-9)).
19
Let c = -2768 + 2772. Calculate the remainder when 118 is divided by c.
2
Suppose 10*q + 1049 = 1119. What is the remainder when 152 is divided by q?
5
Suppose n - 69 = -77. Calculate the remainder when (-2)/(-2) + -99*n/24 is divided by (-46)/(-6) + 6/(-9).
6
Suppose -d - 3*k + 21 - 1 = 0, 3*d - 95 = -2*k. What is the remainder when ((-1638)/d)/(2/(-5)) is divided by 15?
12
Let o be 4/6 - (-2)/(-3). Let b = 16 - o. Suppose 0 = 4*j + 20, -20 = 35*x - 40*x - 5*j. Calculate the remainder when b is divided by x.
7
What is the remainder when (2/(-12))/((-24)/(-72))*-690 is divided by 83?
13
Suppose -3*t = -7*t. Suppose t = 2*j + 2*j - 72. Calculate the remainder when (-10 - 414/(-42)) + 232/7 is divided by j.
15
Let d = -2533 - -2661. What is the remainder when 3070 is divided by d?
126
Let l(b) = b**3 - 4*b**2 - 12*b - 25. Let r be (1 - (-6)/(-8))*4. Suppose -r = 4*c - 57. Calculate the remainder when l(7) is divided by c.
10
Suppose 0 = 3*m - 8*m + 100. Let g(f) = f + 12. Let u(c) = c**3 + 3*c**2 - 8*c + 5. Let r be u(-5). What is the remainder when m is divided by g(r)?
6
Suppose -o - 17 + 5 = 0. Let g(k) = -5*k**3 + 4*k + 3. What is the remainder when g(-2) is divided by (27/6)/((-3)/o)?
17
Let o = 335 - 324. What is the remainder when (178 + -8)/((-4)/(-2)) is divided by o?
8
Suppose -3*o - 2*w + 0*w = -96, -4*o + 128 = 2*w. Let n = 169 - o. What is the remainder when n is divided by 20?
17
Let h(o) = 2 + 0*o**2 - o**2 + 57*o**3 - 3 + 15*o**3 + o. Calculate the remainder when h(1) is divided by 37.
34
Suppose -24 = 5*h + 5*l - 219, -l + 150 = 4*h. Calculate the remainder when h is divided by 16.
5
Suppose -3621 + 891 = -10*i. Suppose -8*b = -871 - i. What is the remainder when b is divided by 36?
35
Suppose 0*r - 10 = -5*r + 3*n, -4 = -2*r - 4*n. Suppose r*t + t + c - 11 = 0, -4 = -2*t - 4*c. What is the remainder when 2/(-8) + 121/t is divided by 11?
8
Suppose 5*l - 88 = -5*p + 27, l - 5*p + 1 = 0. What is the remainder when 3*11 + (3 - 6) + 3 is divided by l?
14
Let t(a) = 5*a**3 - 3*a**2 - a - 2. Calculate the remainder when 455 is divided by t(2).
23
Suppose -3*q = -5*m - 352, -q + m - 2*m + 104 = 0. Calculate the remainder when q is divided by 8.
5
Suppose 6 = 4*u - 6, 0 = -2*z - 5*u + 79. Calculate the remainder when 116 is divided by z.
20
Suppose 3*f - 342 = 3*v, v - 226 = -2*f - 7. Calculate the remainder when f is divided by 71.
40
What is the remainder when 1/(6*5/6810) is divided by 77?
73
Suppose b = 4*g + 31, -b + 55 = 4*b + 5*g. What is the remainder when ((-2)/6)/(5/(-1110)) is divided by b?
14
Suppose 34*c = 5*c + 841. Calculate the remainder when 112 is divided by c.
25
Let m be 4/(-10) + (-12)/(-5). Suppose 0 = -m*i + 8. Let c = 2 - -9. What is the remainder when c is divided by i?
3
Suppose -4*g - 13 = 4*l - 3*l, -14 = 2*l + 4*g. Calculate the remainder when (l*93)/((-9)/6) is divided by 19 + 3 + (0 - 1).
20
Let o = -356 - -579. Calculate the remainder when o is divided by 14.
13
Let n = 66 - 17. Suppose i - n = 2*d - 18, 2*i = -2*d + 68. Calculate the remainder when i is divided by (-86)/(-7) + (-12)/42.
9
Suppose 2*k = -118 + 134. Suppose 3*l - 10 = 2. Suppose -2*c = 0, -l*n + 4*c + 120 = 3*c. What is the remainder when n is divided by k?
6
Suppose -4*b - c + 61 = 0, 4*c - 32 = -3*b + 6*c. Let l(j) = j**3 - 13*j**2 + 11*j. Let x be l(12). Let s = b + x. What is the remainder when 7 is divided by s?
1
Suppose 0 = i - 4*i - t + 4, 3*i = -5*t + 20. What is the remainder when 85 is divided by 116/8*(2 + i/1)?
27
Let f be (-16)/(-96) - -53*(-1)/(-6). Suppose -3*d = -0*d - 75. Let v = d - f. Calculate the remainder when v is divided by 9.
7
Let q be ((-3)/9)/((-2)/36). Suppose -2*o + q = -0*o. Suppose 10 = l + o. What is the remainder when 27 is divided by l?
6
Calculate the remainder when 303 is divided by (-153)/(-4) + 17/(-68).
37
Suppose 6 = 4*j - 2. Suppose 13 = j*t + 3. Suppose -f - 2*b + 1 = -7, 35 = t*f + 5*b. What is the remainder when 10 is divided by f?
4
Suppose 3*g - 3*d = 517 - 94, -d = 2*g - 285. Calculate the remainder when g is divided by 16.
14
Let a(f) = 5*f + 2. Let t be a(-6). Let h = t - -33. Suppose -4*d = -20, 74 + 56 = h*z + 2*d. Calculate the remainder when 92 is divided by z.
20
Suppose 0 = 2*u + 8, v - 176 = -3*v - 4*u. What is the remainder when v is divided by (3 - 1/1)/(26/325)?
23
Let v(u) = -u**2 - 3*u + 25. Let k be v(0). Suppose 21 = 4*h + 1. Suppose 0 = -h*x + k. Calculate the remainder when x is divided by 3.
2
Suppose 0 = -6*k + 1178 - 866. What is the remainder when k is divided by 18?
16
Let f(p) = -13*p**3 - p**2. Let t be f(-1). What is the remainder when (70/(-6))/(3/9*-1) is divided by t + -3 - (0 - 0)?
8
Suppose 0 = -25*c + 23*c + 52. What is the remainder when 43 is divided by c?
17
Suppose 3*a - 4 = 38. Suppose -20 - a = -2*t. Let f = 9 + 40. Calculate the remainder when f is divided by t.
15
Let d(h) = -13*h - 4. What is the remainder when d(-6) is divided by 3/(6/19)*24/6?
36
Let d be 7 + 1 + 2/1. Suppose 5*r = -5*h + 50, 0*r = -5*r - d. What is the remainder when 58 is divided by h?
10
Suppose 8 + 0 = 2*w, 2*w = -3*t + 134. Let h = 4 - 2. Suppose 45 = -z + 4*z + u, h*u = 3*z - 45. Calculate the remainder when t is divided by z.
12
Let n = 12 + -10. Suppose 0 = -5*r + u + n*u + 390, -3*u = 4*r - 312. What is the remainder when r is divided by 27?
24
Let f(d) = -d**2 + 19*d - 65. Calculate the remainder when 57 is divided by f(7).
0
Suppose 0 = -13*r + 20*r - 2289. Calculate the remainder when r is divided by 41.
40
Suppose 8*o = 3*o + 160. Suppose 5*s + v - 37 = o, -61 = -4*s + 5*v. What is the remainder when (-29)/(-145)*(-2 + 197) is divided by s?
11
Suppose 3 + 1 = q. Suppose -24 = 2*b - q*b. What is the remainder when (b + 0)*11/4 is divided by 17?
16
Let n(g) = g**2 - 9*g + 2. Let j be n(9). Suppose -880 = -0*p - j*p. Suppose -w = -5*w + p. Calculate the remainder when w is divided by 28.
26
Let m(p) = p**2 - 4*p + 6. What is the remainder when 218 is divided by m(5)?
9
Let p be ((-4)/(-6))/(10/(-60)). Calculate the remainder when (-1)/p - (-414)/8 is divided by 27.
25
Suppose 0 = -5*g - 4*b + 322, -30 = -3*b - 36. Calculate the remainder when g is divided by 51.
15
Calculate the remainder when 11 is divided by (4/(-3))/(-4) + 170/30.
5
Let a be (-5 - -7)*(-22)/(-4). Suppose 5 + 182 = a*c. What is the remainder when 47 is divided by c?
13
Let n = 9 - 6. Suppose 3*b = 3 + n. Suppose 0 = r + b*r - 183. What is the remainder when r is divided by 21?
19
Let r(n) = -n**2 + 8*n + 13. Let x be r(9). Let s = 13 - x. Suppose -4*v = -3*v - s. Calculate the remainder when 35 is divided by v.
8
What is the remainder when 176 is divided by -4*(54/(-4) + 6)?
26
Let q = -22 - -26. Suppose 2*m - m = 4*n - 42, 3*n = -q*m + 22. Suppose 2*c - 4*y = -n