2351 + 2492. What is the remainder when z is divided by 17?
5
Let p be (-9)/45 - (-46)/5. Let a(n) = 7*n + p - 23*n + n + 3*n. Calculate the remainder when a(-4) is divided by 15.
12
Let p = 22 + -24. Calculate the remainder when 15 is divided by 4 + -3 + 10 + p.
6
Let p(l) = -26*l - 14. Let q be p(-13). Let w be q/20*(-1 - -6). Suppose 2*a = 5*g + 89, -4*g + w = 3*a - g. What is the remainder when 125 is divided by a?
29
Let o = 620 + -618. Calculate the remainder when 50 is divided by o.
0
Let j(c) = -c + 12. Let f(h) = 3*h - 5. Let o be f(3). Let a(b) = -b**2 - b + 22. What is the remainder when a(0) is divided by j(o)?
6
Suppose -4*v = 5*u - 334, -8*v + 2*u = -3*v - 434. Calculate the remainder when v is divided by -1*(-6)/3 - (6 - 27).
17
Let r(n) = -5 + 5*n**2 + n**3 + 2*n**2 - n - n**2. Calculate the remainder when r(-4) is divided by 11.
9
Let j(c) = -c**3 - 7*c + 9. Let l be j(6). Let b = l + 67. Calculate the remainder when 28 is divided by 5/(-30) - b/12.
13
Suppose 5*h = 6*h + 5*a - 399, -5*h + 2087 = 2*a. Calculate the remainder when h is divided by 70.
69
Let o = 7 - 12. Let v(h) = -3 + 31*h**2 + 4 - 30*h**2 - 8 - 5*h. What is the remainder when v(o) is divided by 15?
13
Suppose 99 = 14*t - 3*t. What is the remainder when 44 is divided by t?
8
Suppose -33*f + 38*f = 1220. What is the remainder when f is divided by 13?
10
Let u be (-6 - (-2 - -4)) + 2. Let x = u - -14. Suppose 70 = 2*b + x. Calculate the remainder when b is divided by 16.
15
Suppose -2*w + 4*m - 2*m = -56, 2*m + 4 = 0. Suppose 0 = -2*l + 15 + 135. What is the remainder when l is divided by w?
23
Let r(h) = -14*h - 25. Let g be r(-5). Calculate the remainder when ((-6)/15 - -2)/(6/g) is divided by (-46)/(-10) + (-8)/(-20).
2
Let u = -20 - 54. Let c = 85 + u. Calculate the remainder when 21 is divided by c.
10
Let k(w) = w**2 + 9*w. Let i be k(-9). Let o = -6 + i. What is the remainder when 3/o*(-324)/3 is divided by 19?
16
Let w(f) = -10*f. Let s(u) = u**2 - 4*u + 1. Let b be s(2). Let m(a) = a**2 + 18*a - 11. Calculate the remainder when w(b) is divided by m(-19).
6
Suppose 9*v - 5*v - 80 = 0. Calculate the remainder when 197 is divided by (-15)/20 - (-815)/v.
37
Let q(j) = -2*j**3 + 9*j**2 + 7*j - 5. Let c be q(5). Suppose -2*k = c*y - 353, 5*k + 0*y + y - 825 = 0. What is the remainder when k is divided by 42?
38
Let g be (-1 + -24)*(-4)/10. Calculate the remainder when 111 is divided by 6/g + 1562/55.
24
Let b(j) = 2*j**2 + 12. Suppose 2*k + w + 4 = -0*w, -3*w = 2*k. Suppose 599 = 5*p + 3*n - 7*n, -n = -5*p + 596. What is the remainder when p is divided by b(k)?
29
Let n(c) = -c**3 - 2*c**2 - 24. Let b be n(0). Calculate the remainder when 2 + b/9 - (-104)/3 is divided by 7.
6
Suppose 3*i - 412 = 5*c, -174 = -4*i - 4*c + 354. Calculate the remainder when i is divided by 27.
26
Calculate the remainder when ((-608)/48 - -12) + (-1150)/(-6) is divided by 80.
31
Let h = -59 + 222. What is the remainder when h is divided by 33?
31
Suppose 0*q = 4*q - 4*x, 4*q + 6 = -2*x. Suppose -6*j - 5*c = -4*j - 10, -4*c = 0. Calculate the remainder when 57/3*q/(-1) is divided by j.
4
Let m(i) = i**2 - 14*i + 53. What is the remainder when 324 is divided by m(9)?
4
Let f(o) = 2*o + 20. Let m be f(4). Suppose 3*c - m + 10 = 0. Calculate the remainder when 15 is divided by c.
3
Suppose i - 2*i + 130 = 5*j, 0 = j - 1. What is the remainder when i is divided by 19?
11
Let z = 141 - 133. Suppose -4*i - z = -4*c, 2*i = -5*c + i + 28. What is the remainder when c is divided by 5?
0
Suppose 4*y = -2*s - 19 + 519, -2*y + 5*s + 262 = 0. What is the remainder when y is divided by 3?
0
Let j = 11 - 6. Suppose -f = -j + 2, 3*f - 1 = 4*d. Suppose d*t - 70 = -2*c, 4*t - 44 = -2*c + 18. What is the remainder when c is divided by 10?
9
Suppose -b = 4*a - 5*b - 24, 0 = 3*b + 6. Suppose 2*k + 11 - 77 = -4*j, -a*j + 31 = -5*k. Let s = 34 - 8. Calculate the remainder when s is divided by j.
12
Let q(i) be the third derivative of i**5/60 - i**3/6 + 3*i**2. Calculate the remainder when 94 is divided by q(-5).
22
Let u = 35 + 7. Let b(i) be the second derivative of i**3/3 - 3*i**2/2 + 3*i. Calculate the remainder when u is divided by b(9).
12
Suppose 4*n = x + 49, 3*n - 56 = 5*x - 49. Calculate the remainder when (-73)/(-3) - 2/(-3) is divided by n.
11
Let m(g) = 70*g**2 + 41*g + 40. What is the remainder when m(-1) is divided by 65?
4
Let m(i) = 5*i + 45. Calculate the remainder when m(21) is divided by 29.
5
Let x(v) be the second derivative of v**5/20 + 7*v**4/6 + v**3/6 + 11*v**2 + 4*v. What is the remainder when 22 is divided by x(-14)?
6
Let b(c) = c**3 + 23*c**2. Let a be b(-23). Suppose g = 1, 3*f - g + 73 - 729 = a. What is the remainder when f is divided by 20?
19
Suppose 0 = -8*o + 96 + 88. Let f = -8 + o. Calculate the remainder when 223 is divided by f.
13
Let s(m) = -79*m - 11. Let g be s(-3). Let p = -128 + g. What is the remainder when p is divided by 25?
23
Suppose -13*y = 6*y - 4769. What is the remainder when y is divided by 12?
11
Suppose -3*v - 14 = 2*n - 3*n, -2*v = 5*n - 19. Suppose -8 = 128*b - 129*b. Calculate the remainder when b is divided by n.
3
Suppose -18817*z = -18836*z + 912. What is the remainder when z is divided by (2/2)/(2/36)?
12
Suppose -624 = 29*h - 41*h. Suppose 18*g = 14*g + 40. Calculate the remainder when h is divided by g.
2
Calculate the remainder when (2/(-6))/((247/(-5694))/19) is divided by 34.
10
Suppose 55 = -z + 2*z. Suppose -2*a = -n - z, -n = 6 - 3. What is the remainder when 80 is divided by 195/a*(-18)/(-5)?
26
Suppose p - 3*j - 209 = 0, 106 - 749 = -3*p + j. Calculate the remainder when p is divided by 54.
53
Let t(b) = b**2 - 2*b - 1. Let q be t(3). Let u be (-21)/7 - (-4)/q. What is the remainder when (10 - -4)*(0 - u) is divided by 4?
2
Suppose d + d - 76 = -2*c, 5*c - 5*d - 230 = 0. Calculate the remainder when 69 is divided by (-60)/18*c/(-4).
34
Let u(t) = -t**3 + t**2 + t + 71. Let m be u(0). Suppose 4*a + m = 5*s, 0 = s + s + a - 31. Calculate the remainder when 87 is divided by s.
12
Let b = 24 + 140. Let k = b + -75. Let p = -24 + k. What is the remainder when p is divided by 22?
21
What is the remainder when 162 + 16/((-160)/30) is divided by 40?
39
Suppose 0 = 4*g - 5*b - 333 - 9, -3*g - 2*b = -245. Calculate the remainder when 169 is divided by g.
3
Let n = -5 - -11. Let l be 2 - (-5 + 4)*-16. Let y = 18 + l. Calculate the remainder when n is divided by y.
2
Suppose 35*r - r - 1734 = 0. Calculate the remainder when 110 is divided by r.
8
Suppose -34*l + 6269 = -2503. What is the remainder when l is divided by 37?
36
Let z(s) = -s**3 - 11*s**2 - 11*s - 3. Let m(f) = -f**2 - 12*f - 12. What is the remainder when m(-8) is divided by z(-10)?
6
Suppose -i = -3*i + 4*s - 326, 0 = -2*i + 3*s - 322. Let g = -103 - i. What is the remainder when g is divided by 30?
22
Let a be (2 - 3) + -1 + 0. Let h be 1*(-1)/a*6. What is the remainder when 3 + (0/(-2))/h is divided by 3?
0
Let g = -825 + 956. What is the remainder when g is divided by 34?
29
Let b be (-2)/((-291)/99 + 3). Let f be (-64)/24*(-51)/2. Let z = f + b. What is the remainder when 102 is divided by z?
32
Let d(z) = z**3 - 9*z**2 + 5*z - 12. Let h = 42 + -33. What is the remainder when d(h) is divided by 18?
15
Let t(z) = z**3 + 5*z**2 - 11*z - 26. Let f be t(-6). Suppose -2*g = -4*u + 16, -f*u - 6 = -26. What is the remainder when 2 is divided by g?
0
Suppose 143*j - 218 = 142*j. What is the remainder when j is divided by 56?
50
Let m(x) = -x**3 + 7*x**2 + 16*x - 3. Calculate the remainder when m(8) is divided by 8.
5
Let l(y) = y**3 - 6*y**2 - 5*y - 3. Let t(u) = -u**2 - 12*u - 22. Let k be t(-7). Let f(z) = 4*z + 2. Calculate the remainder when f(k) is divided by l(7).
10
Let p(t) = 4*t**3 + 10 + 64*t**2 - 60*t**2 - 3*t**3 - 8*t. Calculate the remainder when 96 is divided by p(-5).
21
Suppose 2*k - 54 = -0*k. What is the remainder when k is divided by (12/9)/(132/693)?
6
Let h = 77 + -77. Suppose -8*n + 339 - 43 = h. Calculate the remainder when n is divided by 10.
7
Suppose 13*g - 194 = -77. Let b(c) = 3*c + 1 - 4 - 1. What is the remainder when b(g) is divided by 8?
7
Let u = 328 + -318. What is the remainder when 68 is divided by u?
8
Suppose -9*v = 41 - 149. Calculate the 