ose 11*m + 40 - 73 = 0. Calculate the remainder when 10 is divided by m.
1
Let y be 2 + (4 + 0 - -36). Suppose -5*c + c = -4*a - 156, 4*a + y = c. Let v = 9 + 1. Calculate the remainder when c is divided by v.
8
Let p be (84/2)/(3/2). Suppose 2*f - p = -2*f. Suppose 0 = 2*v + 4*b + 19 - 63, -64 = -3*v - 5*b. Calculate the remainder when v is divided by f.
4
Let i = 2398 - 2315. Calculate the remainder when i is divided by 24.
11
Let a(r) = -166*r**3 + 2*r**2 - 2*r - 3. Calculate the remainder when a(-1) is divided by 9.
5
Suppose -k = -4*y - 16, y + 2 + 2 = 3*k. Calculate the remainder when 25 is divided by 68/8 - 6/y.
5
Suppose 65 = 5*j + 5*r - 0*r, 0 = j + 2*r - 17. What is the remainder when 22 is divided by j?
4
Let z(r) = -r**3 - 9*r**2 + r + 17. Let q be 194/(-22) + (-12)/66. Calculate the remainder when 15 is divided by z(q).
7
Let f(c) = -c**2 - 23*c - 80. What is the remainder when 141 is divided by f(-11)?
37
Suppose -5*h - k - 8 = -37, -2*h + 4*k + 16 = 0. Suppose -h = -x - 2. What is the remainder when 54 is divided by (-2277)/(-121) - x/(-22)?
16
Suppose -3*d = -2*a + 54, 4*d + 12 = 4*a - 60. Let x = -1 - d. Suppose o = -2*s + 29, -o + 29 + 5 = -3*s. What is the remainder when o is divided by x?
14
Let p(h) = h**2 + 6*h - 9. Let i be p(-10). Let j = i + -22. Suppose -4*d = -12, -4*d - 75 = -5*u - j*d. What is the remainder when 34 is divided by u?
10
Let w(y) = 3*y**2 + 4*y + 4. Calculate the remainder when ((-1)/(-6) - 1/(-3))*40 is divided by w(-2).
4
Suppose 3*i + i - 5*v - 910 = 0, -i - 5*v + 240 = 0. What is the remainder when i is divided by 16?
6
Calculate the remainder when 131 is divided by (-2)/(0 + 4 + -2) + 23.
21
Let w(p) = 5*p**2 + 5*p + 5. Let t be w(-2). Suppose 0 = 3*r + t, -3*c + 2*r + r = -51. What is the remainder when 52 is divided by c?
4
Suppose 11 + 64 = 5*p. Suppose 3*w - 4*w = -5. Suppose 2*j = -k + 6*j + 60, -w*k + j + 224 = 0. Calculate the remainder when k is divided by p.
14
Suppose -398 = -17*k - 7. What is the remainder when 273 is divided by k?
20
Suppose 4*p - 77 = -o, -3*p + 2*o = -4*p + 28. Let x(a) = -2*a**2 - 29*a - 12. What is the remainder when x(-12) is divided by p?
12
Suppose -4*f - 31 = -5*u - 0*f, 3*u + 3 = -3*f. What is the remainder when 29 is divided by u?
2
Let m = 57 - -37. What is the remainder when m is divided by 6?
4
Suppose 0 = 75*c - 29*c - 32614. What is the remainder when c is divided by 10?
9
Let r = 403 + -378. What is the remainder when 142 is divided by r?
17
Let v(n) = -n**2 + 15*n + 50. Let s be v(17). Suppose 0 = -s*j + 94 - 14. Calculate the remainder when (-2)/9 + (-492)/(-27) is divided by j.
3
Suppose 0 = -4*h - 2*n + 5*n - 1004, 3*h + 728 = -4*n. Let u = 32 + -23. What is the remainder when (-9)/6*h/12 is divided by u?
4
Suppose -18 = -8*q + 5*q. Let w = q - -11. Let n(y) = 3*y**2 - 4*y + 2. Calculate the remainder when n(-4) is divided by w.
15
Suppose 0 = -2*z + 386 + 660. Calculate the remainder when z is divided by 21.
19
Let p = 27 + -38. Let q(g) = -g**3 - 12*g**2 - 11*g + 6. Let o be q(p). Let k = o + 6. What is the remainder when 59 is divided by k?
11
Let c = 14 - 10. Let i = 8 - c. Calculate the remainder when (i/6)/((-16)/(-408)) is divided by 10.
7
Suppose -43 = 55*m - 373. Suppose 0 = -4*j - 20, -4*a - 3*j = -5*j - 70. What is the remainder when a is divided by m?
3
What is the remainder when (-154)/539 - (-7499)/7 is divided by 29?
27
Let d(l) = -l**3 + 19*l**2 - 4*l - 169. Let r = 59 - 42. Calculate the remainder when d(18) is divided by r.
15
Suppose 0 = -9*g + 4*g - 2*i + 3350, -2011 = -3*g - i. Suppose 5*r + 27 = g. Calculate the remainder when r is divided by 33.
30
Let q be (16 - (2 - -1)) + 0. Let o = q + -11. What is the remainder when 15 is divided by 5 - 9/(-6)*o?
7
Let z(g) = g - 2. Let t be z(7). Suppose -t*w = o + 12, -5*o = -3*w - w + 2. Calculate the remainder when 47 is divided by -3 - -2 - 26/o.
11
Let c = -373 + 377. Suppose 3*k - 5*p + 70 = 0, p = 5*k - 2*p + 106. What is the remainder when 28 is divided by (k - -5)*c/(-6)?
8
Suppose -4*u + 4 = -a, 5*a - 2*u + 0*u - 70 = 0. Suppose 3*y = -3*d + 135, 5*y - 114 - 108 = -4*d. Calculate the remainder when y is divided by a.
10
Suppose -2*x + 5*o + 60 = -0*o, x - 4*o - 36 = 0. Suppose 11*l - 200 - 207 = 0. What is the remainder when l is divided by x?
17
Suppose 3*b = 28*b - 1525. Calculate the remainder when 303 is divided by b.
59
Suppose 5*z + 4 = 4*s, -5*z - 36 = -4*s - 8*z. Calculate the remainder when 177 is divided by (4/22 - (-805)/110)*s.
42
Let v(w) = 2*w**2 - 6*w + 3. Let b(i) = -i**3 - 6*i**2 - 2*i - 3. Let r be b(-6). Calculate the remainder when v(r) is divided by 28.
27
Let b(l) = 8*l**2 + l + 1. Suppose 232 = 5*n + s, -3*n = s - 135 - 5. Suppose 2*t - n - 12 = 0. What is the remainder when t is divided by b(-1)?
5
Suppose 5*y = -4*i + 592 - 173, 2*y + 4*i - 170 = 0. Suppose 2*k + 15 = 3*m - 38, 0 = 5*k - 25. What is the remainder when y is divided by m?
20
Suppose 78*b + 1650 = 100*b. Calculate the remainder when 374 is divided by b.
74
Suppose -6 = p - 24. Let c = -17 - -20. Suppose -3*r = 4*x - 52, c*x + x - 60 = -5*r. What is the remainder when p is divided by x?
8
Let m(a) = a**2 - 8*a + 7. Let n be m(7). Suppose n*i = -i. Suppose -2*r + 53 = -i*b + 3*b, 4*r - 43 = -3*b. What is the remainder when b is divided by 11?
10
What is the remainder when 119 is divided by (-4)/(2/((-12)/(-2) - 23))?
17
Suppose -68 = -2*x + 4*c - 2*c, 5*x = -c + 158. Let b = 47 - x. Calculate the remainder when 39 is divided by b.
9
Let m = 125 - 83. Suppose -2*i - 5*x = -28, -45 - m = -5*i - 4*x. Calculate the remainder when 36 is divided by i.
17
What is the remainder when 33 is divided by 312/18 + 6/(-18)?
16
Suppose -4*b - 4 = 0, 3*u - 26 = 5*b - 6*b. Calculate the remainder when 241 is divided by u.
7
Suppose 3*q + 150*b - 152*b = 33, -3*q - 30 = 5*b. Let m = -10 + 15. Calculate the remainder when m is divided by q.
0
Let z(g) = 7*g**2 + g + 4. What is the remainder when z(-4) is divided by (-4)/((-16)/38)*4?
36
Let i(d) = d**2 + d. Let p(m) = m**3 + 10*m**2 + 9*m - 10. Let s(y) = -6*i(y) - p(y). Calculate the remainder when 15 is divided by s(-15).
5
Suppose m - 2*i = 10 + 6, 2*m - 2*i - 34 = 0. Calculate the remainder when m is divided by 10.
8
Suppose 3*l - 99 = -0*l. Let k(p) = p + 19. Let f be k(-8). Suppose -z + 70 = 5*a - 3*z, -3*a - 5*z + f = 0. What is the remainder when l is divided by a?
9
Suppose -3*u + 14*u - 1386 = 0. Suppose 4*n = n + 15. Calculate the remainder when (u/(-27))/(1/(-3)) is divided by n.
4
Let f = -43 - -43. Suppose -2*v - 44 = -6*v + m, f = 5*m - 20. Calculate the remainder when v is divided by 5 - (0 - -1)*0.
2
Let b = 57 - 75. Suppose -4*a = 4*c - 60, -4*c + 6 = -3*c - 2*a. What is the remainder when ((-22)/8 + 2/8)*b is divided by c?
9
Calculate the remainder when 360 is divided by 114/(-1083) + (2244/19 - 1).
9
Let s = -22 + 23. What is the remainder when ((-9)/(-9))/(s/89) is divided by 15?
14
Let l(m) = -m**2 - 3*m + 3. Let k be l(-3). Suppose -k*o - 152 = -11*o. Calculate the remainder when o is divided by 7.
5
Let p(m) = -m**2 - 21*m + 38. Calculate the remainder when p(-20) is divided by 10.
8
Suppose 4*h - 160 = -4*v, v = 3*h - 4*v - 128. Calculate the remainder when 122 is divided by h.
40
Suppose -17*y - 35*y = -1508. Suppose -4*l = -2*l - 40. Suppose 5*x + 4*k - y = 0, x + l = 5*x + 4*k. What is the remainder when 33 is divided by x?
6
Suppose -82*n - 78 = -88*n. Let h = 338 - 224. Calculate the remainder when h is divided by n.
10
Let o be (3 + 64/(-12))*6. Let y = o + 62. Calculate the remainder when y is divided by 5.
3
Let q(r) = -r**3 - 9*r**2 + 10*r + 8. Let k be q(-10). Let x = k - 8. Let w(s) = s**3 - s**2 + 8. What is the remainder when 14 is divided by w(x)?
6
Let d = 5 - -4. Suppose 11*u = 8*u + d. Calculate the remainder when 6 is divided by u.
0
Suppose 0 = -j + 5*m + 135 - 34, 0 = -3*j - 2*m + 388. What is the remainder when j is divided by 26?
22
Let n = -20 - -25. Suppose 0 = n*o - 0*x - 2*x - 31, -19 = -5*o - 2*x. Calculate the remainder when 9 is divided by o.
4
Let h(t) = 7*t**2 + t. Let r be h(1). Suppose -2*d = 2 - r. What is the remainder when (-78)/(-12)*(-1 + d) is divided by 8?
5
Let j(i) be the second derivative