ppose -7*w = -9*w + 26. What is the remainder when 62 is divided by w?
10
Let q be 348/42 + 2/(-7). Suppose -2*u = -8 - q. Calculate the remainder when u is divided by 3.
2
Let z(s) = -4*s - 18. Calculate the remainder when 35 is divided by z(-9).
17
Suppose -8 = 5*u + 7. What is the remainder when (-564)/(-9) + 2/u is divided by 16?
14
Let u = -12 - -20. What is the remainder when (-384)/(-27) - (-4)/(-18) is divided by u?
6
Let h = 58 + -35. What is the remainder when h is divided by (4 - 5) + 7*2?
10
Suppose 5*h = -5*s + 45, h = -3*s + 7 + 12. Calculate the remainder when (-15 - -21)*(20/(-3))/(-4) is divided by h.
2
Suppose v - 19 = -5*s, -4*v - 4*s + 16 = 4. Let g = v + 8. Let i(l) = -l**2 + 3. Calculate the remainder when g is divided by i(0).
1
Let i = 59 + -14. Let r(q) = -q**2 + 1. Let v be r(0). Suppose 2*m + v = i. Calculate the remainder when m is divided by 8.
6
Let a = -25 + 35. Suppose 7 = a*i - 9*i. Calculate the remainder when 19 is divided by i.
5
Suppose -a + 41 = -0*a. What is the remainder when 80 is divided by a?
39
Let w = 104 - 74. Let m be w*(0 - (1 + 1)). Calculate the remainder when 23 is divided by (m/(-25))/((-2)/(-10)).
11
Let c be 2/11 - (-4734)/99. Suppose o = -j - 0*j + c, -2*o - 6 = 0. What is the remainder when j is divided by 18?
15
Let u(w) = w**3 - 5*w**2 - 6*w + 2. Let z be u(6). Suppose 15*m - 20 = 14*m. What is the remainder when (3/z)/(2/76) is divided by m?
17
Let x be (-6)/((-12)/104 + 0). Let n = x - 22. What is the remainder when n is divided by 16?
14
Suppose -5 = -6*o + o. Let g = 1 + o. Suppose 25 = g*p - 9. What is the remainder when 50 is divided by p?
16
Let c be 166/(-8) - (-1)/(-4). Calculate the remainder when 4 is divided by (c/(-14))/(1/2).
1
Let s = -7 - -18. Calculate the remainder when 21 is divided by s.
10
Let k(w) = -w + 3. Let u be k(8). Let s = 8 + u. Let q(a) = -7*a**3 + a**2 + a + 1. What is the remainder when q(-1) is divided by s?
2
Let v = 21 - 3. What is the remainder when v is divided by 11?
7
Suppose 0 = s - j - 16, s + j - 7 = 1. What is the remainder when s is divided by 10?
2
Suppose 14*z + 66 = 17*z. Calculate the remainder when z is divided by 8.
6
What is the remainder when 41 + (2 + 2 - 4) is divided by 16?
9
Suppose -h - 4*x + 23 = -2*x, 0 = -4*x - 4. Let f(i) = -4*i - 3. What is the remainder when h is divided by f(-3)?
7
Let o be 25*(8/5 + -2). What is the remainder when 47 is divided by o/(-15) - 70/(-3)?
23
Let m be 2/(-3) - (-2)/3. Suppose i + 3 + 8 = 4*h, 3*h + 2*i - 11 = m. Suppose 2*y + 19 = h*y. What is the remainder when y is divided by 7?
5
Let k = -6 + 15. What is the remainder when k is divided by 2?
1
Suppose 6 + 1 = g. Let i(m) = 2*m**2 - 8*m - 5. Calculate the remainder when i(g) is divided by 13.
11
Let r = 7 - -27. Let d = -5 + 8. Suppose -d*h = -r - 62. Calculate the remainder when h is divided by 11.
10
Let g(v) = 4*v - 4. What is the remainder when g(9) is divided by 11?
10
Let l = -59 - -63. What is the remainder when 13 is divided by l?
1
Suppose 4*r = -2*f + 72, 3*f + r - 46 = 42. Suppose 3*h = 0, -a - 4*h = -7*h - 10. What is the remainder when f is divided by a?
8
Suppose -3*k + q = -k - 38, 3*k - 5*q = 64. Suppose -8 = 4*l, -w - 8*l = -3*l - k. Suppose -2*z + 4*z = 20. What is the remainder when w is divided by z?
8
Let a = 33 + 112. Suppose 4*i = -i + a. Suppose -3*f + 5*f = 30. Calculate the remainder when i is divided by f.
14
Suppose -2*d + 7*d = -10. Let y be 1 - (-9 + 1 + d). Let x = 2 + y. What is the remainder when 38 is divided by x?
12
Let n(y) = 3*y**3 - 1 - 5 - 4*y**3 - 7*y**2 + 4*y - 13*y. Calculate the remainder when 21 is divided by n(-6).
9
Suppose 0*m - 5*m - 20 = 0. What is the remainder when 89 - 8*2/m is divided by 19?
17
Let k be 1 - (-3 - 46/(-2)). Let a = -10 - k. What is the remainder when 35 is divided by a?
8
Suppose 5*v - 107 = -q, 5*q - 793 = -5*v - 298. Calculate the remainder when q is divided by 35.
27
Let l = 19 - 15. Calculate the remainder when l is divided by 3.
1
Let o(u) = u**3 + 6*u**2 + 7*u + 10. Let a be o(-5). Suppose -2*d + 145 - 51 = a. What is the remainder when d is divided by 16?
15
Suppose -z = 13 - 41. Suppose 4*h = o + 49, -3*o - 2*o = h - z. Let x(t) = 5*t**2 + t. Calculate the remainder when h is divided by x(-1).
1
Let a(u) = u - 2. Let k be a(1). What is the remainder when 65 is divided by 1*(k + 0 + 23)?
21
Suppose 5*o = -2*j + o + 6, -2*o - 62 = -4*j. Suppose 3*b - 25 = 86. What is the remainder when b is divided by j?
11
Suppose 5*w = -d - 2*d + 87, 2*w + 108 = 3*d. What is the remainder when d is divided by 26/3 - 1/(-3)?
7
Suppose 0 = -3*w - 3*x - 6, -4*x + 0*x = 2*w + 8. Let v(t) = 2 + 3 - t + 18. What is the remainder when v(w) is divided by 8?
7
Suppose -j + 2*j = -3*i + 6, 0 = -4*j + 3*i - 21. What is the remainder when 34/6 - j/9 is divided by 2?
0
Suppose 4*i - 16 = -4*t, -3*t = -6*t + 5*i + 28. What is the remainder when 10 is divided by t?
4
Suppose u = -4*b + 46 + 40, u = -2. What is the remainder when b is divided by 12?
10
Let a(t) = 3*t**2 - 2*t - 4. Let s = -1 - -9. What is the remainder when a(-3) is divided by s?
5
Let p be (-16)/7 - 6/(-21). Suppose -x + 4*x - 33 = 0. Calculate the remainder when ((-3)/9)/(p/186) is divided by x.
9
Let r be 504/10 - 4/10. Suppose r = 4*k + 2. What is the remainder when k is divided by 7?
5
Suppose -6*a + 17 = -19. Calculate the remainder when 10 is divided by a.
4
What is the remainder when 61 is divided by (12/16)/(-3) + (-106)/(-8)?
9
Let y(u) = 7*u**3 + 4*u**2 - 4*u + 2. Let i = 16 + -14. What is the remainder when y(i) is divided by 17?
15
Let z = 99 - 36. What is the remainder when z is divided by 13?
11
Suppose h - 31 + 6 = 0. Let g(u) be the first derivative of 2*u**4 - 2*u**3/3 + u**2/2 + 5. Calculate the remainder when h is divided by g(1).
4
Let f(y) = -y**2 + 6*y. Suppose 0 = -v - v, 5*c - v = 65. What is the remainder when c is divided by f(5)?
3
Suppose 2*k = d + 105, 2*d + 2 = 12. Calculate the remainder when k is divided by 29.
26
Suppose 8 = -m - 1. Let y(h) = h**2 + 7*h - 13. Let d be y(m). Suppose -z = 4, -d*q + 4*z = -39 - 27. Calculate the remainder when 19 is divided by q.
9
Let f = 24 - 9. Let t(n) = -n**3 + 12*n**2 - 8*n - 7. Calculate the remainder when t(11) is divided by f.
11
Let q(y) = -y**2 - 6*y - 3. Let h be q(-5). Suppose -h*d = -7*d + 100. Calculate the remainder when 58 is divided by d.
18
Let l be ((-26)/(-8))/(2/(-8)). Let z = l + 21. Let h = -5 + z. Calculate the remainder when 5 is divided by h.
2
Let p(w) = w**3 + 6*w**2 - w + 2. What is the remainder when 73 is divided by p(-4)?
35
Let a(d) be the first derivative of -3*d**2/2 - 9*d - 2. Calculate the remainder when a(-12) is divided by 10.
7
Let n = -1 - -4. Let l(s) = -16*s + 2. Let u be l(-4). Suppose n*d - u = 126. Calculate the remainder when d is divided by 22.
20
Let z be (10/(-4))/((-3)/54). Let s = -19 + z. What is the remainder when s is divided by 9?
8
Let v(s) be the second derivative of -s**3/6 + 5*s**2/2 - 3*s. Let m(b) = 4*b**2 - 3*b - 1. Calculate the remainder when m(3) is divided by v(-4).
8
Suppose 2*v - 3*g - 258 = 0, 2*v - 3*v - 4*g = -107. Calculate the remainder when v is divided by 18.
15
Let b(a) = 4*a**2 - 2*a. What is the remainder when 77 is divided by b(-2)?
17
Let c = -73 - -121. Calculate the remainder when 191 is divided by c.
47
Suppose -2*r + 2 = 0, 0 = -3*c + 2*r + 2*r - 1. Let g = -697 + 699. What is the remainder when g is divided by c?
0
Let j(n) = n**2 - 2*n - 1. Calculate the remainder when 2/(-5) + (-97)/(-5) is divided by j(4).
5
Suppose 2*k - 10 = 4. Suppose -2*d = d - 15. What is the remainder when k is divided by d?
2
Let t be ((-176)/6)/(6/18). Let m = -48 - t. What is the remainder when m is divided by 21?
19
Suppose 3*o - 5*i - 58 + 2 = 0, 3*i - 31 = -2*o. Calculate the remainder when 10*((-26)/(-5) + -2) is divided by o.
15
Calculate the remainder when 27 is divided by ((-6)/12)/(3/(-42)).
6
Let x(j) = -j**3 - 7*j**2 + 9*j + 12. Let t be x(-8). Suppose -q - 17 = -4*f, f - 7 = -2*q + t. Calculate the remainder when 6 is divided by f.
1
Let x(w) = w**3 + 12*w**2 + 10*w + 9. Calculate the remainder when 79 is divided by x(-11).
19
Let i = -25 - -33. Let o(w) = 16*w**2 - 2*w - 1. Let n be o(-2