
Suppose -2*j - 5 = -n, -j + 28 + 7 = 2*n. Calculate the remainder when 26 is divided by n.
11
Let n(k) = -16*k - 2. Calculate the remainder when n(-6) is divided by 32.
30
Suppose 0*j = -4*j + 16. Calculate the remainder when 7 is divided by j.
3
Suppose -2*i = i - 33. Suppose 3*y - 54 = 30. Suppose -2*d + 5*v + y = 0, 12 = d - 0*v - 2*v. What is the remainder when i is divided by d?
3
What is the remainder when (12/7)/(5/140) + -3 is divided by 16?
13
Suppose -5*m = h - 2*h - 10, -4*h + m = -36. Calculate the remainder when 17 is divided by h.
7
Suppose -2*v + 70 = -7*v. What is the remainder when (0 + v)/(4/(-8)) is divided by 10?
8
Let j(q) = 208*q**2 + 3*q - 3. Calculate the remainder when j(1) is divided by 53.
49
Suppose -3*w + w = -40. What is the remainder when 68 is divided by w?
8
Let w(i) = 7*i**2 + 5*i + 6. Let r be w(-4). Suppose 0 = -4*p - 0*o - 2*o + r, 0 = -p - 2*o + 29. Let k = -2 + p. What is the remainder when 61 is divided by k?
19
Suppose 3*a = -2*w + 130, -a + 240 = 2*w + 2*w. What is the remainder when w is divided by 31?
28
Let c(g) = 9*g**2 - 11*g + 5. Let i(n) = -n**3 + n**2 - 1. Let p(z) = -c(z) - i(z). Let t(y) = 41*y - 1. What is the remainder when t(1) is divided by p(9)?
12
Suppose -14 = -2*z + 20. Suppose z*l - 18*l + 50 = 0. What is the remainder when l is divided by 13?
11
Suppose 4*i - 2*i = 106. Calculate the remainder when i is divided by 20.
13
Suppose 41*n = 42*n - 16. Calculate the remainder when n is divided by 10.
6
Let h(k) = 3*k + 2. Calculate the remainder when 21 is divided by h(3).
10
Let f be 0/6 + 1*-3. Let x = -1 - f. Suppose 29 + 2 = 4*b - 5*i, x*b = -4*i + 22. Calculate the remainder when 26 is divided by b.
8
Let k(j) = 2*j**2 - 3*j + 1. Let x be k(2). Suppose -5*v = -h + 18, -3*h = -0*h - 4*v - 10. Let r = h + x. Calculate the remainder when 1 is divided by r.
0
Let w = -4 - -16. Let x = 75 - 42. What is the remainder when x is divided by w?
9
Suppose 0*l = -5*l + 75. Suppose 0 = 2*p - 4*n - 104 + 20, 0 = -5*n - 5. What is the remainder when p is divided by l?
10
Suppose 73 = 5*s - 27. What is the remainder when s/(2/((-12)/(-3))) is divided by 21?
19
Let o(r) = r**2 - 6*r - 11. Let k(a) = a**3 + 5*a**2 - 2*a - 7. Let u(t) = t**3 - t - 5. Let n be u(0). What is the remainder when o(8) is divided by k(n)?
2
Let r(s) = s**3 + 5*s**2 - 3*s - 4. What is the remainder when r(-5) is divided by 3?
2
Let f = -66 - -87. What is the remainder when 99 is divided by f?
15
Suppose 2*v - 10 = -v - 2*l, -5*v = 5*l - 10. What is the remainder when (11/(-3))/(1/(-3)) is divided by v?
5
Suppose 4 = 4*h - 2*h. Suppose 4*q - 77 = -9. Calculate the remainder when q is divided by -2*(5 - h)*-1.
5
Calculate the remainder when (-1)/(1 + (-80)/79) is divided by 16.
15
Let p = -3 + 2. What is the remainder when 47 is divided by 8/(-6)*(-11 + p)?
15
Suppose -u + 57 = -3*k, 0*k - 81 = -2*u - 5*k. Suppose 0 = -r - 4*s + 19, 3*s + u = 2*r + s. What is the remainder when r is divided by 8?
7
Let g(s) = 4*s. Let b be g(6). Let d = 37 - b. What is the remainder when 25 is divided by d?
12
Let i = 17 - 29. Let z = i + 21. Calculate the remainder when 26 is divided by z.
8
Suppose -5 + 3 = -2*w. Calculate the remainder when (w + 26/2)*1 is divided by 9.
5
Suppose -p + 11 = -0*p - 4*v, -2*p = -v - 22. Let y be ((-1)/1)/(13/52). What is the remainder when p is divided by (-23)/y + (-2)/(-8)?
5
Suppose -5*j + 32 = -128. What is the remainder when j is divided by 11?
10
Suppose -3*j + 30 + 83 = -n, j - n - 41 = 0. What is the remainder when j is divided by 19?
17
Let z(i) = 2*i. Suppose 0 = 2*k - 7 - 9. Calculate the remainder when z(7) is divided by k.
6
Let x(h) = -h**2 + 10*h - 6. Calculate the remainder when x(6) is divided by 10.
8
Suppose 4*j + 168 = 8*j. Calculate the remainder when j is divided by 11.
9
Let t be 4/(-10) - (-24)/10. Let o be 240/(-9)*(-15)/t. Suppose 0 = -j + 6*j - o. Calculate the remainder when j is divided by 14.
12
Let d(t) = 4*t**2 + 23*t + 12. What is the remainder when 103 is divided by d(-6)?
13
Suppose -7 - 1 = -4*r. Let q(w) = -w**3 + 10*w**2 + 2. Calculate the remainder when q(10) is divided by r.
0
Let n(u) = -u**3 - 13*u**2 - 3*u - 12. What is the remainder when n(-13) is divided by 7?
6
Let f(p) = -p**2 + 10*p - 6. Suppose 33 = 5*c - 3*y + 3, -5*y + 25 = 0. Calculate the remainder when 394/9 + 2/c is divided by f(7).
14
Suppose 3*x + 71 = 4*x. Calculate the remainder when x is divided by 25.
21
Suppose 3*x + a = 37, 0 = 3*x - 2*a - 0*a - 43. Calculate the remainder when 48 is divided by x.
9
What is the remainder when ((-6)/15)/((-2)/30) is divided by 4?
2
Let t = -5 + 8. Suppose -t*q = -q. Let a = 2 - q. What is the remainder when a is divided by 1?
0
Suppose -4*j = 3*r - 27, 0 = -4*j - 5*r + 38 - 9. What is the remainder when 14 is divided by j?
2
Let a = -33 + 88. What is the remainder when a is divided by 19?
17
Suppose 2*g + 1 = 35. What is the remainder when 33 is divided by g?
16
Let v(n) = n**3 + n**2 - n - 13. Let f be v(0). Let x = 22 + f. Calculate the remainder when 17 is divided by x.
8
Let d(b) = -b - 15 + 18 + 2*b. Suppose -2*k - 3*k + 30 = 3*y, -5*k + 15 = 0. Calculate the remainder when 22 is divided by d(y).
6
Let m be (18/8)/((-3)/(-16)). Let w = m + -49. Let h = w + 53. What is the remainder when h is divided by 6?
4
Let p = -11 + 5. Let d = 11 + p. Suppose 2*f - d*k - 14 = 0, 2*f + 4*k - 67 = -f. Calculate the remainder when 49 is divided by f.
15
Suppose 0 = -o - 3*v + 36, 2*v + 18 + 14 = 2*o. Calculate the remainder when o is divided by 12.
9
Let x(w) = -w - 2*w + 1 - 4 - 3*w**2 + 2*w**3. Let r be 8/6*(-18)/(-8). What is the remainder when 28 is divided by x(r)?
13
Calculate the remainder when 0 + -1 - (10 - 204) is divided by 49.
46
Let h = 1 - -3. Let x(g) = 2*g**2 + 3*g - 3. What is the remainder when x(-3) is divided by h?
2
Let m be ((-3)/12)/(2/(-152)). What is the remainder when m + (-3)/6*4 is divided by 2/(-5) - 235/(-25)?
8
Let a(t) = -t**3 - 3*t**2 + 10*t + 7. What is the remainder when 105 is divided by a(-6)?
50
Let n(b) = b + 40. Let q = -105 + 119. Calculate the remainder when n(0) is divided by q.
12
Suppose 4*m - h = -59, 3*m + 2*h = 5*h - 51. What is the remainder when 3/((-3)/(-40)) + 1 is divided by 0/(0 - -3) - m?
13
Suppose -6 = 5*j + 4. What is the remainder when ((-5)/((-5)/(-52)))/j is divided by 96/7 + (-4)/(-14)?
12
Let d(m) = -76*m - 3. Let t be d(-3). Let y = t + -151. Calculate the remainder when y is divided by 25.
24
Let l be 2/(-6)*25*-3. Suppose -1 + l = 2*g. Let m = 13 + -6. Calculate the remainder when g is divided by m.
5
Suppose 36 = a + 5*t, 0*t + 44 = 2*a + 3*t. Let v = -7 - -10. Suppose 0 = -2*z - v*z + 30. Calculate the remainder when a is divided by z.
4
Let a(i) = 4*i - 12. Suppose -2 = -3*c + 13. What is the remainder when a(c) is divided by ((-5)/(-4))/((-1)/(-4))?
3
Suppose y + 16 = -3*y. Let p(z) = z + 7. Let w be p(y). Suppose -2*r = 6, 0*r = -w*t + r + 45. What is the remainder when t is divided by 4?
2
Suppose 0 = -4*j - 0*w + 4*w + 8, w + 11 = -2*j. Let c(f) = 6*f**2 - f - 1. What is the remainder when c(j) is divided by 19?
18
Suppose -2*j + 5*j = -i + 32, 0 = 3*j - i - 28. What is the remainder when 29 is divided by j?
9
Let p(h) = -h**2 - 6*h + 5. Suppose -6*d - 45 = 5*j - d, -4*j - 3*d = 33. What is the remainder when (9 - 0)*(2 - 1) is divided by p(j)?
4
Let g(s) = -s**2 + 7*s + 8. Let m = -430 - -439. What is the remainder when g(6) is divided by m?
5
Suppose -20*v + 16*v + 236 = 0. Suppose -4*w - 22 = -82. What is the remainder when v is divided by w?
14
Let j be 22/(-18) - 6/(-27). Let h = j - -1. Suppose h = -5*d + 26 + 39. Calculate the remainder when 36 is divided by d.
10
Suppose 5*f = -2*s + 25, -3*f = f - 4. Let b = 136 + -140. Let x = b + s. Calculate the remainder when x is divided by 2.
0
Let y(l) = l**2 - 2*l - 6. Let k(s) = -s. Let w(r) = -r**2 - 6*r - 5. Let g be w(-6). Let t be k(g). Calculate the remainder when y(t) is divided by 6.
3
Let u = 18 + -13. Suppose -32 = -u*i + i. Calculate the remainder when 14 is divided by i.
6
Suppose l - 310 = -l. Suppose 5*h = l + 90. What is the remainder when h is divided by 17?
15
Calculate the remainder when (20/(-12))/((-2)/30) is divided by 14.
11
Su