2). Suppose -4*y + 50 + 9 = -3*q, -37 = -2*y + 3*q. What is the remainder when c/8 - 2/4 is divided by y?
8
Let q be ((-2)/(-3))/(6/981). Suppose 0 = -5*y - q + 274. Suppose 36 = -3*g + 5*n + 97, -3*g + 46 = -2*n. What is the remainder when y is divided by g?
9
Suppose 3*q - 44 = -5*k, 2*q - 2*k - 32 = -4*k. Suppose -q = -5*l + 37. Calculate the remainder when 63 is divided by l.
8
Suppose 30 = 5*i - 25. Let g = 2 + i. Calculate the remainder when 50 is divided by g.
11
Suppose -76 - 64 = -7*r. What is the remainder when 94 is divided by r?
14
Let t = 8 - -6. Suppose 27*q - 25*q - 78 = 0. Suppose x - t - q = 0. What is the remainder when x is divided by 14?
11
Suppose -50 = 17*h - 22*h - 5*c, 2*h + 4*c - 14 = 0. Calculate the remainder when 34 is divided by h.
8
Let f be (2 + 187)*(-5 - -6). Suppose y - f = -2*y. Calculate the remainder when y is divided by 11.
8
What is the remainder when (1/1 - -53 - -4) + 0 is divided by 42?
16
Suppose -9 = 4*c - 57. Let l be (-96)/(c/(-16)*2). Suppose 0 = 3*m - 4*g - l, 2*m - 4*g - 36 = 0. What is the remainder when m is divided by 8?
4
Suppose -35 = c - 8. Let m = c - -28. Let h(k) = 6*k**2 - 2*k. Calculate the remainder when 7 is divided by h(m).
3
Suppose 132 - 50 = y - t, -76 = -y + 4*t. Suppose -y = -35*h + 33*h. Calculate the remainder when h is divided by 10.
2
Suppose -5*v + 102 = -4*p, 4*v - 5*p - 56 = v. What is the remainder when 99 is divided by v?
11
Suppose 2*a = -8, 2*a = 9*d - 6*d - 113. What is the remainder when 452 is divided by d?
32
Let h(i) = -i**3 + 39*i**2 + 40*i + 6. Let d = 3 - 0. Suppose 2*l + d*u - 13 = -3, u = -4. Calculate the remainder when l is divided by h(40).
5
Let f be (-16)/3*(-30)/4. Let d = f + -36. What is the remainder when 10 is divided by d?
2
Let j be (2/(-4))/(1/(-4)). Suppose -n = 2*l - 7*l - 16, -j*n = -2*l - 24. What is the remainder when 31 is divided by n?
9
Suppose -29 = -2*v - 9. Suppose 0 = 2*b + 5*z - 76, 2*z = -79*b + 83*b - 104. Calculate the remainder when b is divided by v.
8
Let z = 19 + -14. Let i = 13 - z. Let f = 13 + i. Calculate the remainder when f is divided by 6.
3
Suppose -13*j = -7*j - 48. Suppose -v = -j*v + 147. Calculate the remainder when v is divided by 12.
9
Let i = -1301 - -1322. What is the remainder when 331 is divided by i?
16
Suppose -94*a - 23 = -u - 99*a, 29 = 3*u - 5*a. Calculate the remainder when 268 is divided by u.
8
Let x be (-38)/(-7) - (-32)/56. Let w = x - 26. Calculate the remainder when 20 is divided by w/(-4) + 1 + 1.
6
Suppose 0 = -3*m + 4*m - 6. Let k(u) = 2*u**2 - 9*u + 8. Let b be k(m). Let n = -10 + b. Calculate the remainder when 47 is divided by n.
15
What is the remainder when 193 is divided by (11 - 3)*221/26?
57
Let v(j) = -j + 14. Let w(c) = -5*c + 9. Let u = -3 - 5. What is the remainder when w(u) is divided by v(-12)?
23
Let i(r) = 5*r**2 + 159*r - 21. Let m(y) = -y - 1. Let x be m(-6). Suppose -55 - 35 = -x*v. What is the remainder when v is divided by i(-32)?
7
Suppose 1885 = 5*x - 255. What is the remainder when x is divided by 48?
44
Suppose -229 = -11*l + 167. What is the remainder when 169 is divided by l?
25
Let t(i) = -3*i - 3. Let k be t(0). What is the remainder when 17 is divided by (k - -3) + (9 - 3)?
5
Suppose 3*p + 20 = 4*o, 5*p - 14 = -4*o + 6. Let l = 251 - 223. What is the remainder when l is divided by o?
3
Suppose 15*p - 162 = 12*p. Let n(a) be the second derivative of 13*a**4/12 - a**3/6 + 3*a. Calculate the remainder when p is divided by n(-1).
12
Let p(u) = 4*u**3 - 10*u**2 + 9*u - 15. Calculate the remainder when p(6) is divided by 78.
75
Let d(l) = -l**3 + 6*l**2 - 3*l - 1. Let b be d(5). Let j be 3/b + 550/6. Let v = j - 64. Calculate the remainder when v is divided by 15.
13
Let j(q) = q**2 - 6*q - 10. Let r(a) = a**2. Let s(l) = -6*l**2 + 6*l - 7. Let t(x) = 2*r(x) - s(x). What is the remainder when t(2) is divided by j(8)?
3
Let l = 609 - 581. What is the remainder when l is divided by 16?
12
Suppose 16*f - 13*f + 57 = 0. Let d = 29 + f. Suppose -3*r - 32 = -116. What is the remainder when r is divided by d?
8
Let c = -6 + 12. Calculate the remainder when (-10 - 0) + 330/15 is divided by c.
0
Calculate the remainder when ((-84)/(-8) + -4)/((-7)/(-42)) is divided by 6.
3
Let y = 1283 + -1011. Calculate the remainder when y is divided by 87.
11
Calculate the remainder when 39 is divided by 180/(-8)*(-12)/15.
3
Let s = -35 - -376. What is the remainder when s is divided by 19?
18
Let a(z) = 5*z - 12. Let n be a(3). Calculate the remainder when n - (3 - (52 + 0)) is divided by 29.
23
Let k be ((-1)/(-3))/(9/54). Suppose -k*q = -8 - 12. Let t = -6 + q. What is the remainder when 15 is divided by t?
3
What is the remainder when (0 + 3)*36/540*305 is divided by 24?
13
Suppose u + 9 = -g, 3*g - 2*u - 2*u = -48. Let m(d) = -d**3 - 12*d**2 + 15. Let w be m(g). Let b = w + -6. Calculate the remainder when 15 is divided by b.
6
Suppose -2*n - 3*j = 19, 3*j + 12 = 4*n + 77. Let b be n + (-5 + 2)/(-3). Let f = 3 - b. What is the remainder when f is divided by 3?
1
Let d = -43 + 43. Suppose d = -5*s - 3*x - x + 361, -3*s + 2*x = -199. Calculate the remainder when s is divided by 18.
15
Suppose 37*l - 1586 + 439 = 0. Calculate the remainder when l is divided by 8.
7
Let p(o) = -2*o + o - 1 + 13. Calculate the remainder when 34 is divided by p(0).
10
Let j(l) = -6*l**2 - 3*l - 6. Let u be j(-4). Calculate the remainder when 6 is divided by (54/u)/(1/(-5)).
0
Let d(p) = -2*p**2 + 9*p + 53. Calculate the remainder when 67 is divided by d(7).
13
Let j(v) = v**2 - 4*v - 12. Calculate the remainder when j(13) is divided by 18.
15
Let s be -20 + 0*4/8. Let l = s - -27. What is the remainder when 10 is divided by l?
3
Suppose -4*t + 4 = -3*t, -116 = -4*w + 5*t. Suppose -r = 1 - 22. Let z = w - r. Calculate the remainder when 24 is divided by z.
11
Suppose -51 = -2*u + u. Suppose -r = -2*y - 33, -3*y + 70 = 4*r - u. Calculate the remainder when 154 is divided by r.
30
Suppose -5*j - 1385 = -4*s, -33*s = -30*s + 3*j - 1059. Calculate the remainder when s is divided by 32.
30
Suppose -6*g = -g - 15. What is the remainder when 37 is divided by 1/((2 + g)/40)?
5
Let m = -7 - 0. What is the remainder when (7/2)/(3/42) is divided by (m + 4)*(-34)/6?
15
Suppose -1253 + 63 = -5*o. Calculate the remainder when o is divided by 75.
13
Let b be (748/(-85))/((-4)/10). Suppose -b*s = -27*s + 590. Calculate the remainder when s is divided by 20.
18
Let v(j) = 4*j + 3 - 7*j - 1. Let i = -73 - -116. Calculate the remainder when i is divided by v(-3).
10
Let u(r) = -r**3 - 13*r**2 + 15*r + 21. Let q be u(-14). Suppose -6 = -q*i + 6*i. Calculate the remainder when 17 is divided by i.
5
Let o be (2/6)/((-1)/(-9)). Suppose -4*s - 86 = -o*b, -s + 12 = 2*s. Let m(f) = 2*f**2 + 2*f + 9. Calculate the remainder when b is divided by m(0).
7
Let z = -108 - -33. Let q = -53 - z. What is the remainder when q is divided by 8?
6
Let p = -229 - -265. Calculate the remainder when 141 is divided by p.
33
Suppose -6*w = 2*y - 4*w - 160, -y - 5*w + 80 = 0. Suppose 3*i - y = -5*i. What is the remainder when 18 is divided by i?
8
Suppose -3*v = 2*v - 70. Suppose 0 = -2*l - 0*l - 2. Let c = v - l. What is the remainder when 42 is divided by c?
12
Let d(s) = 6*s**3 - 4*s - 7 - 3*s**2 + 4 + 19*s**3 + 6*s. What is the remainder when d(2) is divided by 38?
37
Let j = -259 + 287. What is the remainder when 307 is divided by j?
27
Let m = 26 - 23. Suppose 5*f = -0*f - 5, 2*t - m*f = 73. Calculate the remainder when 139 is divided by t.
34
Let p = 8 + -7. Let i be 3190/(-30) - p/(-3). Let q = i + 153. Calculate the remainder when q is divided by 24.
23
Let m(g) = -25*g**3 - g. Let v = 11 - 9. Suppose 2*i = -3*f - v*f + 93, -f - 1 = 0. What is the remainder when i is divided by m(-1)?
23
Let k = -11 + 27. Let r(o) be the third derivative of -11*o**4/12 - 10*o**3 + 2*o**2 + 2. What is the remainder when k is divided by r(-3)?
4
What is the remainder when (6 - 3) + -2 + 198 is divided by 7?
3
Let s be -3 - (-13 - 3/3). Suppose 0 = -4*p - 3*b + 209, -3*p - 213 = -7*p + b. What is the remainder when p is divided by s - -3 - (1 + -1)?
11
Suppose -41 = -2*y + 4*q + 1, 2*q + 6 = 0. Calculate the remainder when ((-28)/3)/((-9)/27) is divided by y.