hat is the remainder when 682 is divided by h(13)?
10
Let u = 48 - 48. Suppose u*h - 38 = -2*h - 3*y, 36 = 2*h + 2*y. What is the remainder when 45 is divided by h?
13
Suppose 4*y = -20, 3*y = -2*w + 6*y + 129. What is the remainder when w is divided by 31?
26
Calculate the remainder when (122 + -104)/(6/116) is divided by 13.
10
Let o = -19 - -15. Suppose 131 + 17 = 2*i. What is the remainder when i is divided by -3 - o*22/4?
17
Let a(l) = -2*l**2 - 13*l - 23. Let t(j) = -2*j**2 - 13*j - 22. Let k(q) = -3*a(q) + 2*t(q). Calculate the remainder when k(-9) is divided by 12.
10
Let b(i) = 0*i**3 + 4 + i**3 + 7*i**2 - 5*i - 4*i. Suppose -2*w - 5*f - 36 = 0, 2*w - 2*f = -12 + 4. Calculate the remainder when 33 is divided by b(w).
9
Suppose -4*b + 3*c + 75 = 0, 5*b - 85 = -5*c - 0*c. Let f(z) = -z**3 + 5*z**2 + 6*z + 2. Calculate the remainder when f(5) is divided by b.
14
Let n be (-16)/56 + (-172)/(-14). Suppose z = -2*d + 17, d - n = -2*d. Calculate the remainder when 26 is divided by z.
8
Let t(d) be the first derivative of -2*d - 1/3*d**3 - 6 - 7/2*d**2. What is the remainder when 14 is divided by t(-5)?
6
Suppose -10*a = -4 - 6. Calculate the remainder when 6 is divided by a.
0
Suppose 10*k = 215 + 95. Calculate the remainder when 52 is divided by k.
21
Let d(f) = -f + 1. Let w(i) = 2*i**2 - 5. Let z(h) = -3*d(h) - w(h). Let y be z(-1). Calculate the remainder when 76 is divided by (-1 - -28) + -4 + y.
16
Let w be -11 - (-2 - (-2 + 3)). Let l(i) = -i**2 - 14*i + 5. Calculate the remainder when l(w) is divided by 14.
11
Let k = -28 - -81. Calculate the remainder when 208 is divided by (k/3)/((-1)/(-3)).
49
Suppose 4*x - 9*x + 5*t + 140 = 0, -x - t = -18. Calculate the remainder when 73 is divided by x.
4
Let v = 10 + -10. Calculate the remainder when (0 - v - 0) + 17 is divided by 3.
2
Suppose 1085 - 356 = 3*p. Suppose 7*a = -2*a + p. What is the remainder when a is divided by 5?
2
Suppose -78 = -42*d + 40*d. Suppose -3*f = -5*v + 5 - 17, 3*f + 4*v = d. Calculate the remainder when f is divided by 5.
4
Let n = 13 + 4. Let y(v) = v. Let w be y(14). What is the remainder when w/(-4 + (-75)/(-18)) is divided by n?
16
Let m = 78 - -6. Let u = m - 48. Calculate the remainder when u is divided by 19.
17
Let j(a) = 3*a + 72. Let c = 18 - 11. What is the remainder when j(-6) is divided by c?
5
Calculate the remainder when 874 is divided by 33 - (2 + 0 + -3).
24
Suppose 4*q = -2*o + 4*o + 70, o = q - 19. Calculate the remainder when 127 is divided by q.
15
Calculate the remainder when 86 is divided by 44/55*10 - -1.
5
Let q = -27 + 50. Let a be (-84)/(-45) + 10/75. What is the remainder when a + (40 - 1) - -2 is divided by q?
20
Suppose 5*v + 4*o = 43, -2*v - o + 23 = v. Let t be (-1*6)/(15/(-50)). What is the remainder when -1*(1 - t) + 1 is divided by v?
6
Let x(i) = i**2 + 13*i - 111. Calculate the remainder when x(9) is divided by 3.
0
Suppose c + 48 = 3*m, -c + 54 = m + 2*m. What is the remainder when 61 is divided by m?
10
What is the remainder when 185 is divided by -1 - 69*(-5 - 42/(-9))?
9
Let u = -55 - -82. What is the remainder when 8/(-4)*u/(-2) is divided by 3 + (2 - 4) + 14?
12
Let l(h) = 4*h - 1. Let n(y) = -3*y + 1. Let j(m) = -6*l(m) - 5*n(m). Suppose 4*r - 46 = 102. What is the remainder when r is divided by j(-2)?
18
Suppose -12*b = -9*b - 36. What is the remainder when b is divided by 4?
0
Suppose 21 = 6*u - 9*u. What is the remainder when (-208)/(-10) - u/35 is divided by 6?
3
Let f be 4/((-16)/(-28)) - -3. Let t = 65 + f. Suppose 2*w = -4*r + 38, -28 = -4*w - r + 48. What is the remainder when t is divided by w?
18
Let i(f) = 5*f - 1. Let m be i(4). Suppose -3*l + 5*y = 2*l - 30, 2*l + 5*y = m. What is the remainder when 33 is divided by l?
5
Suppose 3*q - 57 = 2*c, -5*q + 95 = -3*c - c. Calculate the remainder when (-338)/(-6) - 1/3 is divided by q.
18
Let a = -190 + 218. What is the remainder when a is divided by 17?
11
Let b(q) = q + 1. Let p be b(9). Let u = -10 + p. Suppose -5*v + 23 + 2 = u. Calculate the remainder when 13 is divided by v.
3
Suppose 3*l - 2*l - 21 = x, 4*l - x = 81. Let t(i) = 15*i**2 - 2*i + 1. What is the remainder when t(2) is divided by l?
17
Suppose 0 = 5*a - 2*b - 136, -68*b + 133 = 5*a - 69*b. Let f = -32 + 160. What is the remainder when f is divided by a?
24
Let v(x) = 75*x + 170. What is the remainder when v(4) is divided by 44?
30
Suppose -4*i + 0 + 32 = 0. Calculate the remainder when 19 is divided by i - -3 - 4*1.
5
Let g(q) = 4*q - 9. Let p be g(-3). Let f = 32 + p. Calculate the remainder when 63 is divided by f.
8
Let v(f) = 71*f - 15. Calculate the remainder when v(2) is divided by 44.
39
Let y = 133 - 122. Let k = 18 + -12. What is the remainder when y is divided by k?
5
Let w(q) = -q**3 - 7*q**2 - 7*q - 6. Let g be w(-6). Suppose t - 11 + 2 = g. Let c = 1 + 2. What is the remainder when t is divided by c?
0
Suppose -3*p - 3*i + 216 = 0, 2*p + i - 170 + 29 = 0. Calculate the remainder when p is divided by 10.
9
Suppose -2*x + 177 = 41. Suppose 6*f - 4*f = x. Suppose 3*y - 4*h = f, -3*y + 18 = 2*y + 3*h. What is the remainder when y is divided by 3?
0
Suppose 0 = -4*g + 5*z + 1508, 5*g - 5*z - 1937 = -52. Calculate the remainder when g is divided by 14.
13
Let p = 951 + -923. What is the remainder when 215 is divided by p?
19
Let a = 24 - 11. Calculate the remainder when (-10)/75*-10 - 429/(-9) is divided by a.
10
Suppose 4*n = 2*m - 6*m + 284, -4*n - 5*m = -279. What is the remainder when 51 is divided by 9/63 - n/(-7)?
7
Let h = 34 + -29. Suppose -2*p - 10 = 0, -5*m - h*p + 0*p + 115 = 0. Let s = m + -12. Calculate the remainder when 63 is divided by s.
15
Calculate the remainder when 217 is divided by (-1)/1 - 18*8/(-12).
8
Let b(p) = -p + 8. Let m be b(6). Suppose -16 + m = -c. What is the remainder when c is divided by 4?
2
What is the remainder when 92 is divided by 20/(-35) + -95*5/(-35)?
1
Suppose 4*c + 19 = -n, 0 = -5*n + c - 2*c - 57. Let b(i) = i + 31. What is the remainder when b(n) is divided by 6?
2
What is the remainder when 167 is divided by (-2)/((-2)/14*(-18)/(-63))?
20
Suppose 5*i = -4*j + 30 + 83, 3*i = -5*j + 125. What is the remainder when 31 is divided by j?
9
Let b be (12/(-9))/(1/3). Calculate the remainder when 104 is divided by 12/(-8)*b/(-6)*-21.
20
Let v(s) = -24*s - 1. Suppose -4*u - 25*o + 92 = -22*o, 0 = -6*u - o + 124. What is the remainder when v(-2) is divided by u?
7
Let n = -272 + 281. Calculate the remainder when 28 is divided by n.
1
Suppose 186 = 4*s - 3*p - 362, p = s - 137. Calculate the remainder when s is divided by 30.
17
Suppose -34 = -4*a - 50. Calculate the remainder when (15 - 5)/((-2)/a) is divided by 12.
8
What is the remainder when 557 is divided by (176/96)/((-6)/(-108))?
29
Let y = 26 + -14. Calculate the remainder when 64 is divided by 6/y*(-2 - -28).
12
Let q = 36 - 26. Suppose -2*n = -76 - q. What is the remainder when n is divided by -22*(-1 - 1/(-2))?
10
Let z(l) = 2*l**3 + l**2 + 7. Let g = 9 + 1. Calculate the remainder when z(2) is divided by g.
7
Let b(v) = 5*v**2 + 64*v + 13. Calculate the remainder when 278 is divided by b(-13).
18
Suppose 0 = -3*v - v. Suppose v*j = 3*j - 18. Suppose 0 = -2*g - 4*t + 24, 3*t = -3*g - 2*t + 32. Calculate the remainder when j is divided by g.
2
Suppose -4*l - 46 + 94 = 0. Let h be -1*(1 - 0/1). What is the remainder when 141/6*(3 + h) is divided by l?
11
Let x = -5 + 26. Suppose 0 = -s + x - 5. Calculate the remainder when 43 is divided by s.
11
Let j be (-200)/(-6)*(-120)/(-32). Suppose j = 6*a - a. Suppose 2*h - 45 = -3*h. What is the remainder when a is divided by h?
7
Let o(j) = 2*j - 9. Let n be o(5). Let c be 1/n + 21 + -2. Suppose -2*u = -2*x - c, -u + x = -6*u + 50. What is the remainder when 27 is divided by u?
7
Suppose 4*w = -2*t - 112, w = -0*w - t - 27. Let x = w + 38. What is the remainder when x is divided by 5?
4
Suppose 71 = -4*v + 215. Calculate the remainder when 247 is divided by v.
31
Suppose -54*u + 809 = 107. What is the remainder when 43 is divided by u?
4
Let d(b) = b**3 - 36*b**2 - 14*b - 55. Calculate the remainder when d(37) is divided by 38.
36
Suppose -15*x + 30 = -12*x - 3*n, 2*n + 36 = 4*x. Let p(i) = i**2 - 9*i + 7. Let o = 26 - 15. Calculate the remainder w