 t*x = -2*x + 12. Suppose -4*a = -13*k + 16*k - 1, -a + 3 = -2*k. Calculate the remainder when x is divided by a.
0
Let h(v) = -v + 11. Let b be h(11). Let q(l) = l + 39. What is the remainder when q(b) is divided by 14/(-2)*-1*2?
11
Let j be (2/4)/((-4)/(-48)). Let i = 25 + j. What is the remainder when i is divided by (-4)/26 - (-725)/65?
9
Let y(u) = u**2 + 2*u - 1. Let s be y(-5). Calculate the remainder when 4/(-14) + 144/s is divided by 6.
4
Let n be ((-10)/(-20))/(1/8). Let z = n - -1. What is the remainder when 18 is divided by z?
3
Suppose 9 = 3*p, -5*k - 5*p = -3*p - 146. Calculate the remainder when 138 is divided by k.
26
Let x(n) = n**2 - n - 4. Let j(m) = 2*m**2 - 8*m - 1. Calculate the remainder when j(6) is divided by x(-3).
7
Let i(n) = n**3 - 4*n**2 - 3*n + 6. Calculate the remainder when i(5) is divided by 6.
4
Let x = -37 - -24. What is the remainder when ((-18)/(-4))/(x/(-78)) is divided by 5?
2
Let k(v) = 2*v + 3. Let h be k(-9). Let d = 2 - h. Calculate the remainder when 49 is divided by d.
15
Suppose 0 = 3*j + 16 - 61. Suppose -2*p - 48 = 2*g, p + 2*g + 30 = 1. Let y = p - -27. What is the remainder when j is divided by y?
7
What is the remainder when 2 + 0/2 - -54 is divided by 15?
11
Let o = -23 + 48. Let v be (1/(-2))/(3/54). Let y = 0 - v. Calculate the remainder when o is divided by y.
7
Suppose -5 + 29 = 2*f. Suppose j = 4*p + 4, f = -4*p + 2*j + j. Suppose 0 = 4*h - 12, 2*h = 2*d - p*h + 2. Calculate the remainder when 4 is divided by d.
0
Calculate the remainder when (-7 + 4)/(6/(-118)) is divided by 15.
14
Let c = 2 + 3. Suppose -c*t + 18 = 3. Suppose 3*k = -t*s + 4*k + 41, 5*s = -5*k + 75. Calculate the remainder when 27 is divided by s.
13
Let h = 37 + 117. Let t = -93 + h. Suppose -j - 2*r = r - t, -5*r + 119 = 2*j. Calculate the remainder when j is divided by 18.
16
Suppose -4*y = 116 + 28. Let k = 70 + y. Suppose 3*i - 10 = 26. Calculate the remainder when k is divided by i.
10
Suppose 4 - 44 = -2*y. What is the remainder when 33 is divided by y?
13
Let o be 1 - 1 - (-26 - 3). Let w(i) = 5*i**2 + 2*i - 1. Let x be w(1). Let t = x + o. What is the remainder when t is divided by 18?
17
Suppose 0 = 3*n - n - 3*h - 7, -4*n + h + 29 = 0. What is the remainder when n is divided by 5?
3
What is the remainder when (-30)/(-20) + (-234)/(-4) is divided by 16?
12
Let z be 10/(-45) - (-29)/9. Calculate the remainder when 22 is divided by z/(9/24 + 0).
6
Let k = 52 + 13. Calculate the remainder when k is divided by 23.
19
Let l(q) = -12*q - 3. Calculate the remainder when 15 is divided by l(-1).
6
Calculate the remainder when (4 - (-147)/28)/((-2)/(-24)) is divided by 29.
24
Let z = 53 + -32. What is the remainder when 39 is divided by z?
18
Let h(z) = -2*z + 23. Calculate the remainder when h(0) is divided by 6.
5
Let s = 30 - 10. Suppose -w + 2*x = -3 - 7, 0 = 2*w + 3*x - s. Calculate the remainder when 26 is divided by w.
6
Suppose -8 = 5*y - 83. Calculate the remainder when y is divided by 6.
3
Let c(u) = 2*u**3 - 8*u**2 - 4*u + 1. Suppose 0 = 4*r - 156 + 32. What is the remainder when c(6) is divided by r?
28
Suppose 4*a + 13 = 5*j, 4 - 1 = j - a. Calculate the remainder when 3 is divided by j.
0
Suppose -27 = -s - 0*s + 4*b, 4*b + 49 = 3*s. What is the remainder when 75 is divided by s?
9
Let c = 16 - 0. Let k = c - 7. Let v(a) = 26*a**3 - a**2 + 2*a - 1. What is the remainder when v(1) is divided by k?
8
Suppose -73*j - 98 = -80*j. Calculate the remainder when 35 is divided by j.
7
Let s be -5*13*(-2)/5. Calculate the remainder when 25 is divided by (0 - s)/(3 + -5).
12
Let g = -20 - 16. Let p be (-3 - 1)*45/g. Suppose 0*u + 1 = u + 3*w, -p*w = 4*u - 4. What is the remainder when 2 is divided by u?
0
Let q = 9 + 49. Suppose 19 - q = -x. Calculate the remainder when x is divided by 10.
9
Let f(r) be the second derivative of 0 - 2*r - 5/3*r**3 - 11/2*r**2 - 1/12*r**4. Calculate the remainder when 9 is divided by f(-8).
4
Let q(z) be the third derivative of z**5/15 - z**4/6 + z**3/3 - 4*z**2. Calculate the remainder when q(4) is divided by 13.
11
Let q(r) = -r**3 - 14*r**2 + 7*r + 11. Let g be q(-15). Suppose 3*u + 14 = g. Suppose 0*b = 2*b - 20. What is the remainder when u is divided by b?
9
Let x = 30 + -19. Calculate the remainder when 20 is divided by x.
9
Let j(c) = -c**3 + 6*c**2 + 2*c - 6. Let f = -39 + 21. Let v = f + 30. Calculate the remainder when j(4) is divided by v.
10
Suppose 0 = -5*a + 39 + 31. Suppose -6*u + u - 35 = 0. Let r = u + 34. Calculate the remainder when r is divided by a.
13
Let c = -70 + 79. Let i(p) = p**2 - 7*p + 7. Suppose 0*f - 4*f + 36 = 0. What is the remainder when i(f) is divided by c?
7
Let s = 194 + -153. Calculate the remainder when s is divided by -11*((-4)/(-2))/(-2).
8
Let s = 241 - 146. What is the remainder when s is divided by 26?
17
Let s be (-1)/(-2) + (-35)/(-14). Let n be s - (-2 - -5)/1. Suppose -3*y + n*d = -5*d - 44, -5*d = y + 12. What is the remainder when y is divided by 5?
3
Let n(d) = -3*d**3 + d + 5*d**2 + 3*d**3 - d**3 - 4*d - 2. What is the remainder when n(3) is divided by 4?
3
Let m = 43 - 0. Let w(d) = 14*d**2 + 1. What is the remainder when m is divided by w(-1)?
13
Suppose 3*y = -0*y + 45. What is the remainder when 43 is divided by y?
13
Let p be -2 + 1/((-1)/(-5)). Suppose 96 = p*k + k. Suppose 0 = -4*j + k - 0. What is the remainder when 17 is divided by j?
5
Let g = -110 - -52. Suppose n - 30 = 6*n. What is the remainder when 23 is divided by g/(-7) - n/(-21)?
7
Suppose -9*x = -30*x + 672. Suppose -118 = -2*u + 4*d, 4*u + 4*d = 2*u + 126. Calculate the remainder when u is divided by x.
29
Suppose -2*i - 3*i + 5*d + 180 = 0, 5*d = -3*i + 148. Suppose -5*k = 11 - i. Calculate the remainder when k is divided by 4.
2
Let m(v) = 2*v**2 - v - 1. Calculate the remainder when 33 is divided by m(-2).
6
Let w = 5 - -3. Suppose 0 = 5*p - 3*p + 3*d - 73, p - 5*d - 4 = 0. Calculate the remainder when p is divided by w.
5
Let a = 5 - 1. Suppose 5*u + 49 = a*p, 2*p = 5*u + 20 + 7. Calculate the remainder when 21 is divided by p.
10
Suppose c = -3*c - 4. Let p = 5 + c. Suppose 13 = p*j - 39. What is the remainder when j is divided by 7?
6
Let f = 3 - -20. Let l(a) = -a**2 + a + 42. What is the remainder when l(0) is divided by f?
19
Let x = -3 + 7. Suppose -g - 245 = x*g. What is the remainder when 9 is divided by 88/14 - (-14)/g?
3
Let t(a) = -a**3 + 4*a**2 + 3*a + 5. Let z be t(4). Suppose -4*r - 3*s = -2*s, -z = -r + 4*s. Calculate the remainder when -1 + -3 + 12/2 is divided by r.
0
Let t be (-1)/(1 + 28/(-30)). Let d be 4/(-6) - (-170)/t. Let r = d - -24. What is the remainder when r is divided by 7?
5
Let s be (-1705)/(-15) - 2/3. Suppose -3*v = -4*r - 2 + 87, -s = -5*r - 3*v. Calculate the remainder when r is divided by 12.
10
Let k(m) = 2*m - 37. Calculate the remainder when k(24) is divided by 5.
1
What is the remainder when 10/(-4)*7/(35/(-330)) is divided by 28?
25
Suppose f = 3*f + 6. Let i = f + 5. Suppose -i*l - 3*o + 4 = 1, -17 = -3*l - 2*o. Calculate the remainder when 17 is divided by l.
8
Let k = 129 - 77. What is the remainder when k is divided by 11?
8
Calculate the remainder when 18 is divided by 4 - -2*4/(-8).
0
Let v be (-460)/(-45) + 4/(-18). Let j = -5 + v. What is the remainder when 18 is divided by j?
3
Let v = 26 - -19. What is the remainder when 267 is divided by v?
42
Suppose -b - 108 = -4*t - 3*b, 2*b = 0. Calculate the remainder when 52 is divided by t.
25
Let z = 16 - 6. Let h = 13 + 6. What is the remainder when h is divided by z?
9
Let u(q) = 17*q - 5. Let y(g) = g - 1. Let p(z) = -u(z) + 6*y(z). Suppose -2*a = -5*a - 6. Calculate the remainder when 62 is divided by p(a).
20
Suppose -2*g = 5*t + 21, -4*g - 2*t - 2*t - 48 = 0. Let y(k) = -48*k - 1. What is the remainder when y(-1) is divided by 3 - (-2 + 2) - g?
15
Let g = 76 + -36. Let h(w) = -w**2 + 8*w - 2. What is the remainder when h(6) is divided by (-8)/12 - g/(-6)?
4
Suppose 0 = 5*r - 82 + 2. Suppose 2*j + h - 3 = -0, 2*j - 2*h = 12. Suppose j*y - y = 18. What is the remainder when r is divided by y?
7
Suppose -15*x + 8*x + 392 = 0. Calculate the remainder when x is divided by 30.
26
What is the remainder when 89 is divided by (6/10 - 1)/((-2)/160)?
25
Let m = -83