 -9279. Calculate the remainder when u is divided by z.
18
Let z(t) be the third derivative of -t**6/60 + t**4/12 + t**3/6 - 634*t**2. Suppose 0*j - 3*j = 6. Calculate the remainder when z(j) is divided by 8.
5
Suppose -3*u = -373 - 8. Let a = -767 - -783. What is the remainder when u is divided by a?
15
Let a = -984 - -1020. What is the remainder when 105 is divided by a?
33
Suppose 8*h - 1435 = -5*w + 3*h, -574 = -2*w - 4*h. Calculate the remainder when w is divided by 17.
15
Suppose 4*y = 5*b + 242, -3*y - 3*b + 237 - 42 = 0. What is the remainder when y is divided by 22?
19
Let a be 1/7 + (-23)/161. Suppose 3*h = -r + 24, -4*h = 2*r - a*h - 44. What is the remainder when 63 is divided by r?
9
Suppose -15*o = 18 - 288. Let m = 28 - o. What is the remainder when 18 is divided by m?
8
Let v = 121 - 19. Suppose 2*r - b - 75 = 0, -3*r - 3*b + v = -b. What is the remainder when 106 is divided by r?
34
Suppose -15*r = -13*r - 144. What is the remainder when r is divided by (1/(-3))/(-1 + (-565)/(-570))?
34
Let x = 46 + 11. Suppose -5*i - x = -8*i. Calculate the remainder when 73 is divided by i.
16
Suppose -h + l - 2 = 0, -7*h + l + 1 = -3*h. Calculate the remainder when h/(15/567) + (-4)/(-20) is divided by 10*2 - (-4 - -3).
17
Let x be -10*(2 - (-5)/(-2)). Suppose 3 - 4 = -3*s + 5*n, -4*s + x*n + 3 = 0. Calculate the remainder when (s + -4)*201/(-6) is divided by 17.
16
Let b(o) = -9*o - 289. Suppose 4*h - 215 = 5*t, -5*t = -3*h + 165 - 0. What is the remainder when h is divided by b(-34)?
16
Suppose -154*p - 189 = -u - 157*p, 4*p = -2*u + 382. What is the remainder when u is divided by 69?
57
Suppose 115*n = 77*n + 494. Let i = 4 + 1. Calculate the remainder when n is divided by i.
3
Let f = -112 + 151. Calculate the remainder when f is divided by 5.
4
Let d(h) = -h**3 - 12*h**2 + h + 16. Let j be d(-12). Suppose j*k - 163 = -23. Suppose 0 = -4*i + 52 - 4. What is the remainder when k is divided by i?
11
Let f(b) = -2193*b + 10. What is the remainder when f(-1) is divided by 116?
115
Suppose -3*f - 11 - 40 = 0. Let s = -5 - f. What is the remainder when (14 - (-1547)/51) + (-1)/3 is divided by s?
8
Suppose -5*z + 85 = -40. Let m(r) = 3*r**2 + 12*r + 3. What is the remainder when m(-8) is divided by z?
24
Let r be 17 - 0/((-9)/(-3)). Suppose -5*z = -5*m + 70, 31 + r = 3*m - z. What is the remainder when 63 is divided by m?
12
Suppose 36*v = 65*v - 50750. Calculate the remainder when v is divided by 17.
16
Suppose 62*t = 5655 + 5257. What is the remainder when t is divided by 89?
87
Let j(k) = -95*k + 11. Let c be j(-4). Suppose 5*f = 5*q - 396 - 259, 3*q - 4*f = c. Calculate the remainder when q is divided by 34.
31
Let j = -1905 + 2202. Calculate the remainder when j is divided by 90.
27
Calculate the remainder when (4 + 10/(-3))/((-8)/(-84)) is divided by (-1)/(0 + -3)*15.
2
Let x(u) = -u**2 - 7*u - 8*u + 5*u - 9. Let r = -2 + -5. Calculate the remainder when 45 is divided by x(r).
9
Let g(w) = w**2 - 5*w + 9. Suppose 1372 = 41*n - 186. Calculate the remainder when g(11) is divided by n.
37
Let k(p) = -p**3 - 12*p**2 - 16*p + 14. Let z be k(-10). Calculate the remainder when 41 is divided by (-39)/z + (-1 - 31/(-2)).
9
Let l = -85 + 90. What is the remainder when l is divided by 9/3 - (-3 + 2)?
1
Let n = 3 + 2. Suppose -3*d - 5*a = 9, -2*d - n*a + 6 = 17. Suppose y - 51 = -d*y + 3*z, z = 3. What is the remainder when 59 is divided by y?
19
Let b = -572 + 655. Calculate the remainder when b is divided by 53.
30
Suppose 3*d + 174 = 7*p - 3*p, 5*d + 215 = 5*p. Suppose 3*w + p = -0*t + 2*t, 0 = -5*t - 4*w + 78. Calculate the remainder when t is divided by 10.
8
Suppose -3*m - 3 = -27. Calculate the remainder when 45 is divided by m.
5
Let w(x) = -x. Let n be w(-4). Let p = -833 - -922. Suppose -2*z + p = 5*u - n*z, 87 = 5*u - z. What is the remainder when u is divided by 9?
8
Suppose 160 + 212 = 4*w - 4*p, -5*p = 5*w - 475. Suppose -w - 62 = -4*a. What is the remainder when 76 is divided by a?
37
Let n = 22 - 16. Let g be (0 + -1)/(2/4). What is the remainder when n is divided by 3*(-2 - 0)/g?
0
Let l = -3292 - -3309. Let o(f) = -f**3 + 6*f**2 - 5*f - 3. What is the remainder when l is divided by o(4)?
8
Suppose -2*p + 5 = -g + 1, -2*g = 2*p - 10. Suppose 7*m = g*m + 35. Calculate the remainder when m is divided by 11/4 + 2/8.
1
Suppose 4*b = 48 + 24. Let h be (b - 15)/(1/9). Let g = h - 2. Calculate the remainder when g is divided by 9.
7
Let k = -21 - -36. Let f(s) be the second derivative of s**5/20 + 11*s**4/12 + 7*s**3/6 - s**2/2 - 2*s + 6. What is the remainder when f(-10) is divided by k?
14
Suppose 143 = 2*z - 23. Let b(o) = -o**3 + 7*o**2 - 7. What is the remainder when z is divided by b(5)?
40
Suppose 2 + 3 = 5*d. Suppose 5*s + 11 = 3*m, -d = -4*m - 2*s + 5. Suppose y - m*y = -17. What is the remainder when 65 is divided by y?
14
Suppose -563 = -27*s + 274. Calculate the remainder when 104 is divided by s.
11
Let h be (-2)/(-6) + (-435)/(-45). Let o(w) = w**2 + 3*w - 4. Calculate the remainder when o(h) is divided by 43.
40
Let t(z) = 3*z**2 + z. Let p be t(1). Let w be 4 - (-10 + p)*1. Suppose -a - 8 + w = 0. Calculate the remainder when 3 is divided by a.
1
Let h = 11 + -9. Suppose -y + h*y - 78 = 0. What is the remainder when y is divided by 27?
24
Let w be (-356)/18 + (-3)/((-54)/(-4)). Let r = w + 33. What is the remainder when 23 is divided by r?
10
Let p be ((-1)/9*-3)/((-1)/(-6)). Suppose p*i = -2*i + 5*t + 147, -t = -3*i + 102. Calculate the remainder when 131 is divided by i.
32
Let s = 8 - 6. Let z(q) be the second derivative of 3*q**5/20 + q**4/6 - q**2/2 + 19*q. What is the remainder when z(s) is divided by 16?
15
Let j(m) = 12*m - 3*m - 8 - 3*m**2 + 3*m. Let g be j(8). Let y = 152 + g. What is the remainder when y is divided by 25?
23
What is the remainder when 368 is divided by 553/(-237) - (-386)/6?
58
What is the remainder when 1 - 1 - (-10220)/73 is divided by 47?
46
Let h(b) be the third derivative of -b**6/120 - b**5/30 - 2*b**2. Suppose 3*f = 60 + 42. What is the remainder when f is divided by h(-3)?
7
Let p be 2 + 3/(15/685). Suppose -4*i = -p - 17. Suppose i = f + 2*f. Calculate the remainder when 35 is divided by f.
9
Let k(r) = -r**3 + 2*r**2 - 3*r - 2. Let v(g) = g**3 - 2*g + 3*g + 0*g - 2*g. Let u(w) = k(w) + 2*v(w). Calculate the remainder when 5 is divided by u(-3).
1
Suppose 3*p + r = 18, 0*p + 5*r = p - 6. Suppose n = 2*a + p, -3*n + 33 = 3*a - 4*a. Calculate the remainder when 42 is divided by -20*(-2 + 15/n).
12
Suppose -5*i = -5*y - 112 - 18, -4*i = -2*y - 94. Let l = i + -14. Suppose 0*j + j - 26 = 0. What is the remainder when j is divided by l?
5
Let y = 135 + -110. Calculate the remainder when y is divided by 3.
1
Suppose m - 4 = -3*u - u, 5*u = -5*m - 10. Suppose -u*g + 7 = -g. What is the remainder when 41 is divided by g?
6
Suppose -3*g - 137 = 235. Let u(k) = -k**2 - 11*k - 8. What is the remainder when 6/21 - (-1 - g/(-7)) is divided by u(-9)?
9
Let j = -951 + 1595. Suppose 9*n - j = 913. What is the remainder when n is divided by 35?
33
Let j = 407 - 404. What is the remainder when 114 is divided by j?
0
Suppose -4*j + 46 = -2*j - 2*t, -77 = -3*j + t. Calculate the remainder when 139 is divided by j.
4
Suppose 4*q - 106 + 42 = 0. Let i = -54 + 64. Calculate the remainder when i/((-13)/(-6) + -2) is divided by q.
12
Suppose -4*j - h = -295, 10*h = -j + 5*h + 50. What is the remainder when j is divided by 35?
5
Suppose 0 = 4*c - 4*m - 216, 3*c + 111 = 5*c + m. What is the remainder when 137 is divided by c?
27
Let i(u) = 4*u - 38. Let a = -63 + 79. What is the remainder when i(a) is divided by 9?
8
Let q be ((-10)/4)/((-1)/2). Suppose 0 = q*k + 5*z + 20, 0 = -4*z + 4. Calculate the remainder when 49 is divided by (0 + -5)*k/1.
24
Suppose 250*t + 215 = 255*t. What is the remainder when 58 is divided by t?
15
Suppose -l = -4*y + 304, 0*l = 5*y - 3*l - 380. Let w = y + -45. What is the remainder when 123 is divided by w?
30
Let u(b) = -b**3 + 8*b**2 + 7*b - 1. Let j(i) = -i**3 + 3*i**2 - i - 1. Let t be j(2). Calculate the remainder when u(8) is divided by (2 - -27) + 0/t.
26
Let f = 2733 + -2393. Calculate the remainder when f is divided by 38.
36
Let d = 68 - 63. Suppose -d*v - 8 = -23. Calc