e remainder when ((-106)/3)/((-2)/6) is divided by 9.
7
Suppose 2 = -2*q + 18. Suppose -q*s + 12*s = 188. Calculate the remainder when s is divided by 25.
22
Suppose y + 22 = -0*y. Let o(q) = -q**2 + q. Let f be o(2). Let w = f - y. What is the remainder when w is divided by 7?
6
Suppose -2*f + 0*f - 4 = 3*p, -2 = f. Suppose -3*t - h = -61, 0 = 4*t - p*h - 3*h - 103. What is the remainder when 85 is divided by t?
19
Let v be 1/5 - (-38)/10. Suppose -v*d = 4*a - 36, 4*a - 8 = 4*d - 36. What is the remainder when (-2)/(-11) + 987/77 is divided by d?
5
Let a = -77 - -124. What is the remainder when a is divided by 12?
11
Suppose -3*b = -9, -2*b + 16 - 4 = 2*g. Suppose -5*n + g*n = -18. Calculate the remainder when 16 is divided by n.
7
Let w(t) = 6*t + 5. Let l(b) = 6*b + 5. Let x(a) = 3*l(a) - 4*w(a). Calculate the remainder when x(-6) is divided by (-24)/(-2 + (-1)/(-2)).
15
What is the remainder when 77 is divided by 13*-1*(2 + -3)?
12
Let b(u) = u**3 + 6*u**2 - 5*u + 6. Let t be b(-6). Suppose -3*h + t = -h. Suppose -2*j = 4 - h. Calculate the remainder when 13 is divided by j.
6
Let t(l) = l**2 + 9*l + 10. Let w be t(-8). Suppose d - 4 + w = 0, d = 3*j - 25. Calculate the remainder when 26 is divided by j.
8
What is the remainder when 255 is divided by 2/17 + (-9 - 882/(-17))?
40
Suppose -5*b = -211 - 134. What is the remainder when b is divided by 10?
9
Let y(x) = x**3 + 6*x**2 - 7*x + 8. Calculate the remainder when 28 is divided by y(-7).
4
Let g = 10 + -12. Let d be ((-26)/g)/(-3 - -4). Calculate the remainder when (9/(-3) + d)*2 is divided by 7.
6
Let z be 37/7 - 6/21. Calculate the remainder when 30 is divided by 8/z*(1 - -4).
6
Let c = 6 + -3. Suppose -5*v + 2*b + 62 = -8, -c*v - 4*b = -42. Calculate the remainder when 27 is divided by v.
13
Let w(t) = t**3 - 8*t**2 + t - 5. Let d be w(8). Suppose d = 4*q + x, 5*x = -4*q + 3*x - 2. Calculate the remainder when 2 is divided by q.
0
Suppose h + 3 = 1. What is the remainder when 109 is divided by ((-1)/h)/(5/280)?
25
Let k = -62 - -65. What is the remainder when k is divided by 1?
0
Suppose 0 = -4*f + 151 + 101. Calculate the remainder when f is divided by 33.
30
Let x = 18 - 16. Suppose -x*p + 2*g + 27 = 5*g, 0 = -5*p - 2*g + 73. Calculate the remainder when 57 is divided by p.
12
Let c = 234 + -56. Calculate the remainder when c is divided by 45.
43
Let s(f) = -f**2 + f + 3. Let x be s(0). What is the remainder when 11 is divided by x + (-4 - -4) - -4?
4
Suppose 72 = 5*a + 12. Calculate the remainder when 69 is divided by a.
9
Let a(g) = g + 30. What is the remainder when a(-10) is divided by 11?
9
Suppose 0 = -2*d + 4*o + 4 - 2, -3*d + 5*o + 7 = 0. Calculate the remainder when 35 is divided by d.
8
Let t = -73 - -110. Calculate the remainder when 106 is divided by t.
32
Let t = 10 - 7. What is the remainder when t + 0 + 32*1 is divided by 19?
16
Let a be (-4)/(-14) + 502/7. Suppose 0*p - a = -4*p. Let y = -112 - -146. What is the remainder when y is divided by p?
16
Let q(v) = -v**2 + 10*v + 1. Let r be -2 + -10*(-2)/4. Suppose -3*t + 35 = 5*c, t + 21 = -0*c + r*c. Calculate the remainder when 65 is divided by q(c).
21
Let a(n) = n**3 - 11*n**2 - 10*n + 14. Calculate the remainder when a(12) is divided by 8.
6
Let s(r) = -19*r. Let q(p) = p - 6. Let k be q(10). Suppose 2*x - k = 16. Calculate the remainder when s(-1) is divided by x.
9
Suppose s - 4*m - 50 = -0*m, -5*s = -2*m - 232. Suppose 6*g - 2*g - 8 = 0. Let b = g - -14. What is the remainder when s is divided by b?
14
Suppose -3*a - 2*h = 1, -h + 1 = -3*a + 5*a. What is the remainder when 15 is divided by a?
0
Let v be (-1 - 1)*4/(-2). Let r be 96/(-15) - v/(-10). Calculate the remainder when 41 is divided by r/(-9) - (-40)/3.
13
Suppose 2*g = 6*g + 12. Let v be 3 + (-21)/g*3. Let o = v - 9. What is the remainder when o is divided by 9?
6
Suppose 670 = -2*y - 4*r, -5*y - r + 2*r - 1730 = 0. What is the remainder when y/(-12) - (-2)/8 is divided by 10?
9
Let o = 33 - 20. Let g(i) = -48*i - 1. Let l be g(-2). Suppose -95 - l = -5*z. Calculate the remainder when z is divided by o.
12
Suppose 4 + 22 = 2*b - 2*h, 2*b = -3*h + 46. Let y = b - 10. What is the remainder when y is divided by (2 - 1) + 1*2?
1
Suppose -d + 1 = -0. Let j = d - -1. What is the remainder when (-12 - -11) + 0 + 14/2 is divided by j?
0
Let h(i) = i**2 - 3*i - 27. Calculate the remainder when h(8) is divided by 7.
6
Let l = 110 - 78. Suppose -3*i + 169 = 5*k, 0 = -3*k + 2*i + l + 58. What is the remainder when k is divided by 11?
10
Let l(s) = s**2 - s + 3. Let g be l(0). Suppose 0 = 2*y + i - 4*i + 58, g*i = -3*y - 87. Let b = y - -41. What is the remainder when 47 is divided by b?
11
Let z = 60 - 47. What is the remainder when 115 is divided by z?
11
Let t = -4 - -4. What is the remainder when 67 is divided by 2 - 21/(-1 + t)?
21
Suppose 21*p + 12 = 22*p. What is the remainder when 45 is divided by p?
9
Let i(s) = 43*s. Let j(c) = c - 3. Let x be j(4). What is the remainder when i(x) is divided by 11?
10
Let z = 6 - 10. Let k(t) = -5*t - 2. What is the remainder when k(z) is divided by 7?
4
Suppose 2*j - 10 = 8. Suppose n + u = 3 + 15, 80 = 5*n - 5*u. Calculate the remainder when n is divided by j.
8
Let b = 10 + -41. Let i = b - -43. What is the remainder when 4/(-10) - (-354)/10 is divided by i?
11
Suppose 3*b + 9 = j, 7*j + 3*b = 2*j + 9. Let v(y) = y + j*y + 4*y + 2. Calculate the remainder when v(4) is divided by 12.
10
Suppose a = -2*a + 5*o + 50, o + 34 = 3*a. Calculate the remainder when 26 is divided by a.
6
Let n(z) = -z**2 + 7*z - 3. Let c be n(7). Let q(j) be the first derivative of -j**4/4 - 2*j**3/3 + 1. Calculate the remainder when q(c) is divided by 5.
4
Suppose 9 + 1 = j. Let z(p) = -p**3 + 7*p**2 - 5*p - 2. Suppose -1 = -b + 5. Calculate the remainder when j is divided by z(b).
2
Let o(v) = -v - 8. Let w be o(-6). Let x = -14 + 19. What is the remainder when w/(-6) - 38/(-3) is divided by x?
3
Let b be (-3 - (0 + -1)) + 6. Calculate the remainder when 26 is divided by (-2)/8 + 37/b.
8
Suppose -5*i + 9*i - 80 = 0. Suppose -2*t + 5*g = -3*t + 16, 0 = 3*t - g - 32. What is the remainder when i is divided by t?
9
Suppose 0 = 6*a - 3*a - 6. Let x(q) = q**3 - 6*q**2 + 6*q - 4. Calculate the remainder when a is divided by x(5).
0
Suppose 5 = 5*g - 5. Suppose g*m = -5*y - 0*y + 121, m - 49 = -2*y. What is the remainder when 89 is divided by y?
20
Calculate the remainder when 25 is divided by (104/(-32))/((-2)/8).
12
Suppose -3*w - 2*u = -30, 2*w - w = 5*u - 7. Calculate the remainder when 11 is divided by (-2)/8 - (-50)/w.
5
Let j(h) = h**2 - h + 17. What is the remainder when j(10) is divided by 12?
11
Suppose -3*m = c - 100, 3*m - c - 120 = 2*c. What is the remainder when 66 is divided by m?
31
Calculate the remainder when 64 is divided by 25/2 + 9/18.
12
Suppose -2*m = -33 - 11. What is the remainder when 64 is divided by m?
20
Let m(j) be the third derivative of j**6/720 - j**4/8 - j**2. Let k(o) be the second derivative of m(o). What is the remainder when 18 is divided by k(7)?
4
Let i(s) = 4*s + 5. Let x be i(-6). Let j = x + 31. Calculate the remainder when 45 is divided by j.
9
Suppose 5*y = 6*y - 3. Suppose -4 = -2*t + y*z, 0*t = 5*t - 4*z + 4. Let k(x) = -3*x + 5. Calculate the remainder when 32 is divided by k(t).
15
Calculate the remainder when ((-4)/(-5))/(16/280) is divided by 6.
2
Let d(v) = 8*v - 24. Calculate the remainder when d(17) is divided by 19.
17
Suppose 4 = 3*r - 5. Let m be 4*(3/r + 0). Suppose 0 = 2*f - m*f + 98. What is the remainder when f is divided by 17?
15
Let k(i) = 4*i - 16. Calculate the remainder when 17 is divided by k(7).
5
Let x(o) = -o**2 + 14*o - 11. Let s be x(13). Suppose -4*p + 4*j + 178 = 6*j, -5*p - 2*j = -222. Calculate the remainder when 26 is divided by p/3 + s/(-3).
12
Suppose -4*z = -3*z + 6. Let h = 13 + z. What is the remainder when 19 is divided by h?
5
Let m = -52 + 65. What is the remainder when m is divided by 10?
3
Suppose 6*q = 4*q. Suppose -3*s - s + 136 = q. Suppose -3*m + 8 = -s. What is the remainder when m is divided by 8?
6
Let g(l) = 5*l. Let t be g(1). Let c be ((-5)/t)/((-2)/6). Suppose -140 = -d - c*d. Calculate the remainder when d is divided by 9.
8
Let j be 48/5*(-20)/(-4)