t n(a) be the second derivative of a**3/2 - 8*a**2 - 12*a. Let u be n(7). Suppose -u*c + 74 = -31. What is the remainder when 62 is divided by c?
20
Let b = -1247 + 1250. Calculate the remainder when 91 is divided by b.
1
Let c(w) = 560*w**2 + 3*w - 6. Calculate the remainder when c(1) is divided by 179.
20
Let k(c) = -5*c + 5*c + c + 7. Let a be k(-3). Suppose -5*n = -13 + 3, -o = -5*n + a. Calculate the remainder when 27 is divided by o.
3
Suppose 6040 = 65*l - 67280. What is the remainder when l is divided by 21?
15
Suppose 2*s - 64 = 5*l, -s + 3*s + 5*l = 24. Suppose -57 = -7*v - 1. Suppose v*z - 77 = 19. What is the remainder when s is divided by z?
10
Suppose 12 = 4*i + 5*u - 13, -4*i + 5*u + 15 = 0. Suppose -4*d = d + i, -3*j = d - 11. Let v(g) = -g + 6. Calculate the remainder when v(-6) is divided by j.
0
What is the remainder when (12/(-30))/(-1 + (1 - (-3)/(-8595))) is divided by 128?
122
Suppose 6*q - q = 2*p + 381, -2*q - 4*p + 162 = 0. Calculate the remainder when q is divided by 28.
21
Suppose 5*b + 4*q - 17990 = 10079, 0 = b + 4*q - 5617. What is the remainder when b is divided by 14?
13
Suppose 3*z + 2*z - 16 = w, -8 = -4*z + 2*w. Suppose 10*q - 126 = z*q. What is the remainder when 124 - (2 - 2/2) is divided by q?
18
Let g be -1 + (-6 - -4) - -3. Suppose 3*h = 4*p - 5, 4*p = h - g*h + 15. Suppose -p*c = 4 - 34. What is the remainder when 42 is divided by c?
0
Let m = -69 + 81. Let d be -3*8/m - 0. Calculate the remainder when 63 is divided by (1 - (-4 - d))*11/3.
8
Suppose 0 = -89*w + 95*w - 4440. Calculate the remainder when w is divided by 148.
0
Suppose 6*l = 3*o + 4*l - 1640, o + 3*l - 543 = 0. Let x = -299 + o. What is the remainder when x is divided by 25?
22
Let a = -2092 + 2114. What is the remainder when 33 is divided by a?
11
Let v = -12 + 18. Calculate the remainder when ((-376)/(-4)*-1)/(-2) is divided by v/(-54)*-3*24.
7
Let p = -15 - -47. Let g(i) = -37*i - 27. Calculate the remainder when g(-4) is divided by p.
25
Suppose -4*c + 144 = 4*g, -5*g + 3*c = -78 - 62. What is the remainder when 1546 is divided by g?
27
Let m be 30/(-7) + -3*(-8)/84. Calculate the remainder when 59 is divided by (-3)/(36/(-116)) + m/6.
5
Calculate the remainder when 731 is divided by (-205)/(-10) - (-85)/34.
18
Let o(x) = -7*x**2 + 18*x - 3. Let j(i) = -i**2 + i - 1. Let y(w) = -6*j(w) + o(w). What is the remainder when 297 is divided by y(10)?
21
Suppose 3*z - 192 = -2*d + z, 4*d - 4*z = 360. Calculate the remainder when 1295 is divided by d.
86
Suppose -7*d + 9*d - 627 = m, 5*m = 2*d - 639. Suppose -14*r + d = -r. Calculate the remainder when (213/3*1)/1 is divided by r.
23
Suppose -12*u - 2184 = -31*u - 163*u. Let l = 245 - 150. What is the remainder when l is divided by u?
11
Suppose 3*n - 8*n + 95 = 0. Let p be ((-140)/84)/(((-2)/(-21))/(-2)). Suppose -55 = -9*d + p. What is the remainder when n is divided by d?
9
Let p = 13131 + -13059. Calculate the remainder when 1715 is divided by p.
59
Let c(w) = w**3 + 16 - 2238*w**2 - w**3 + 2*w - w**3 + 2235*w**2 + 8*w. What is the remainder when 41 is divided by c(-5)?
9
Let d(v) = v**2 - 3*v + 4. Suppose 1945 = 171*i - 8828. What is the remainder when i is divided by d(-4)?
31
Suppose 3606 + 118 = -14*t. Let f = -247 - t. Calculate the remainder when 170 is divided by f.
18
What is the remainder when 739 is divided by (80/30*18/60)/((-2)/(-85))?
25
Let v = 228 + -354. Let u = 136 + v. What is the remainder when 147 is divided by u?
7
Suppose -z + 222 = -990. Suppose 2*f = 14*f - z. What is the remainder when f is divided by 17?
16
Let l = -1462 + 1875. What is the remainder when l is divided by 136?
5
Suppose -50 = 59*w - 61*w. Let b = w - 13. Suppose 4*u + 8 = 0, 3*u - 126 = -2*g - g. Calculate the remainder when g is divided by b.
8
Suppose 194*z = 5*t + 199*z + 15, -5*t - 2*z - 24 = 0. Suppose -3*q = -27 + 6. What is the remainder when (-3)/18 + t + 1338/36 is divided by q?
3
Suppose 12*c = 7*c - 2*t + 213, -2*c + 2*t = -102. Calculate the remainder when 224 is divided by c.
44
Let c = 1499 - 1175. Calculate the remainder when c is divided by 135.
54
Suppose 0 = -5*h - 40, -62*h + 165 = 3*j - 59*h. Let v(f) = -f**3 + 5*f**2 + 9*f - 2. What is the remainder when j is divided by v(6)?
15
Let t = 40 + -23. What is the remainder when -12 + 10*(-1176)/(-105) is divided by t?
15
Suppose 4*c - 4 = 352. Suppose -116 = -11*t + 115. What is the remainder when c is divided by t?
5
Let y(q) = -931*q**3 + 4*q**2 + 1. Calculate the remainder when y(-2) is divided by 19.
17
Suppose 24 - 4 = -5*g, 3*n - 3*g = 12. Suppose 2*a = a + 600. Calculate the remainder when -1 + a/(4 + n) is divided by 25.
24
Let u be (-2)/(-5) + (-10)/((-300)/(-702)). Let y = u + 28. Suppose 5*s + 71 = 4*b - 65, -y*b = -3*s - 170. What is the remainder when b is divided by 5?
4
Suppose -p + 24 = 18. Let x be ((-406)/4)/(3/p - 1). Let l = -101 + x. What is the remainder when l is divided by 26?
24
Suppose -395 = -9*r + 2305. Suppose 0 = 6*b - r - 390. What is the remainder when b is divided by 39?
37
Suppose 320 = 3*n + 953. Let w = -149 - n. Calculate the remainder when 123 is divided by w.
61
Suppose -2687 - 457 = -3*v + 4*t, 4*v - 2*t - 4172 = 0. Calculate the remainder when v is divided by 128.
16
Suppose 4349 = 5*a - 2*z - 1985, 4*z = 5*a - 6338. What is the remainder when a is divided by 7?
6
Let r(b) = -4*b - 27. Let p(j) = 6*j + 26. Let v(i) = -3*p(i) - 4*r(i). Let c be v(-10). Calculate the remainder when 5/(c/965) - (-9)/6 is divided by 26.
20
Let u(x) = x**3 - 31*x**2 + 16*x + 558. What is the remainder when u(30) is divided by 96?
42
Let s(b) = -4*b**2 - 39*b - 15. Let i be s(-9). What is the remainder when -2 + 957/i - (-4)/16 is divided by 4?
2
Let p(m) = -7*m + 69. Suppose 2*r + 5*l = 40, -66 = -5*r + 3*l - 7*l. What is the remainder when p(6) is divided by r?
7
Let w be 1/(-4) + ((-2175)/(-12) - 1). Let o = 100 - w. Let u = o + 86. Calculate the remainder when 27 is divided by u.
3
Let g = -39 - -59. Suppose -5*d - 4*o = o + 5, 4*d - 6*o - 26 = 0. What is the remainder when g is divided by d?
0
Suppose 4838*d + 4200 = 5038*d. Calculate the remainder when (30/(-8))/(2/(-144)) is divided by d.
18
Let a(r) = -3 + 14 - r + 4 + 2*r. What is the remainder when 21 is divided by a(-6)?
3
Let f(k) = 5*k**3 - 3*k**2 - 2*k - 12. Let m be f(-3). Calculate the remainder when 80 is divided by (126/m)/(1/(-8)).
2
Let d = -14 + 18. Let f(s) = 12*s**2 - s - 2 - 1 + 6 + 2*s. What is the remainder when f(d) is divided by 40?
39
Let n(h) be the second derivative of h**4/4 + h**3/6 - 3*h**2/2 - 3*h. Suppose -14 + 18 = -v. Calculate the remainder when n(v) is divided by 7.
6
Suppose 24*z - 8496 = 3528. Suppose z*v = 497*v + 112. Calculate the remainder when v is divided by 17.
11
Suppose 4*h - 4*k - 46 = 3*h, 2*k = 5*h - 158. Suppose -84 = -h*c + 28*c. Let z = c - 17. Calculate the remainder when 42 is divided by z.
17
Let p = 7050 - 6854. Calculate the remainder when 803 is divided by p.
19
Suppose 5*p - 5*y - 45 = 0, 37 = 5*p - 5*y + 2*y. Suppose 0 = -o - 3*v - 8 + 9, -p*o = -3*v - 41. What is the remainder when 151 is divided by o?
4
Let x(m) = m**2 + 9*m + 13. Let j be x(-6). Let q(k) = -k**3 - 4*k**2 + 4*k + 1. Calculate the remainder when 18 is divided by q(j).
0
Let j be 4/5 + 4 + (-18)/10. Suppose p - 28 = -3*p. What is the remainder when (-54)/12*(-16)/j is divided by p?
3
Suppose 3*j = 5*x - 336, 264 = 4*x - 11*j + 7*j. Calculate the remainder when 624 is divided by x.
3
Suppose -15 = -5*p, 0 = -200*j + 197*j + 4*p + 123. Suppose 3*g - 1095 = -2*g. Calculate the remainder when g is divided by j.
39
Let n be (0 - -1)/(8/720*-1). Let j = -47 - n. Calculate the remainder when 118 is divided by j.
32
Let v = -2825 + 2930. What is the remainder when 499 is divided by v?
79
Let t = -13909 + 14051. Suppose -l = -5*l + 2*a + 122, 9 = -3*a. Calculate the remainder when t is divided by l.
26
Let u(k) = k**3 - 7*k**2 + 9. Let f be u(7). Let g = f - 0. Calculate the remainder when 44 is divided by g.
8
Let m(i) = i**3 - 2*i**2 - 5*i. Let o(t) = 57*t**3 - 2*t + 3. Suppose -d + 1 = -5*c, -c = -10*d + 6*d + 4. What is the remainder when o(d) is divided by m(4)?
10
Let z = -168 - -191. Let b = 246 - z. Calculate the remainder when b