
5
Let s(g) = g**2 - g + 4. Let c(i) = -i + 7. Let t be c(7). What is the remainder when 10 is divided by s(t)?
2
Suppose v - 64 = 3*u, v + 3*v = -4*u + 176. What is the remainder when v is divided by ((-45)/12)/((-9)/60)?
24
Calculate the remainder when (2 - -4)*22/6 is divided by 6.
4
Suppose -4*a + 24 = -24. What is the remainder when (-2 - -6) + 8 + 35 is divided by a?
11
Let f(x) = x**3 + 21*x**2 + 20*x + 28. What is the remainder when f(-20) is divided by 5?
3
Suppose -620 = 6*q - 11*q. Calculate the remainder when q is divided by 18.
16
Suppose 4*n + 0*n = -12. Let v(i) = -i + 1. Let x = 164 - 162. Calculate the remainder when v(n) is divided by x.
0
Let l = -5 - -10. Suppose 0*t + 108 = 4*t. Suppose 2*x - t = -x. Calculate the remainder when x is divided by l.
4
Let y(x) be the third derivative of x**5/60 + x**4/4 + 4*x**3/3 + 2*x**2. Let p = -49 - -72. Calculate the remainder when p is divided by y(-6).
7
What is the remainder when (-77 - 3)*(-1)/2 is divided by 14?
12
Let f = -13 - -28. Let m = f - 5. What is the remainder when 19/2*(-5 + 7) is divided by m?
9
Suppose 3*f - 122 = -c, -2*f = 2*f + 2*c - 166. Suppose 34*p - 30*p = 84. What is the remainder when f is divided by p?
18
Suppose 3 = l + a, -2*l + 12 = 3*l + 2*a. Let s be (2 - 6)*(-6)/8. Suppose -s*o - l*w + 19 = -32, o - 17 = 3*w. Calculate the remainder when o is divided by 10.
7
Let l = 11 + -15. Let b(h) = 2*h**2 + 4*h - 1. Calculate the remainder when 28 is divided by b(l).
13
Suppose 8 = r + r. Let n = -2 + r. Calculate the remainder when 3 is divided by n.
1
Let g = -15 + 15. Suppose 0 = 2*m - 8, -4*r + 0*m + 2*m + 40 = g. Calculate the remainder when r is divided by 3.
0
Suppose 3*t = -2*t + 5*n + 10, 5*n + 10 = 2*t. Suppose r = -t*r + 7. Calculate the remainder when r is divided by 4.
3
Suppose -315 + 51 = -6*n. What is the remainder when n is divided by 16?
12
Suppose 0 = 3*x - 4 + 10. Calculate the remainder when 0 + 36/x*-2 is divided by 13.
10
Let b(c) = c + 24. What is the remainder when 61 is divided by b(-17)?
5
Suppose 7*t - 92 = 5*t. Let r = 13 + 3. Calculate the remainder when t is divided by r.
14
What is the remainder when 125 is divided by (-2 + -4)*(2 - 9)?
41
Let a(y) = -y + 9. Let z = 15 + 13. Calculate the remainder when z is divided by a(-6).
13
Let h(i) = i**2 + 3. What is the remainder when 23 is divided by h(3)?
11
Suppose 10 + 11 = p. Let w(m) = -m**3 - 11*m**2 - 4*m - 5. Calculate the remainder when w(-11) is divided by p.
18
Let r = -36 - -52. Calculate the remainder when 77 is divided by r.
13
Suppose 4*r - t - 84 = t, 5*t = 4*r - 72. Calculate the remainder when r is divided by 8.
7
Let z = -12 - -18. Let l = 5 - z. Let x = 8 - l. What is the remainder when 16 is divided by x?
7
Let n be (-6)/15 + (-17)/(-5). Suppose -2*a + 4*a - 70 = 5*h, n*a = -5*h + 105. Calculate the remainder when a is divided by 18.
17
Suppose 2*y - 5*w = -3, -2*y - w = w - 4. Let v = 28 - y. Calculate the remainder when 79 is divided by v.
25
Let o(q) = 2*q**2 - 6. Let c be o(6). Let z = c + -32. Let r = z - 21. Calculate the remainder when 25 is divided by r.
12
Let w = 8 - 6. Let s(r) = 1 - 3*r - 3*r**2 - 2 + 5*r**w. What is the remainder when s(3) is divided by 3?
2
Let y = -28 + 43. Let q = 0 - 0. Suppose g = -q*g + 6. What is the remainder when y is divided by g?
3
Suppose -5*l - 200 = -9*l. Calculate the remainder when l is divided by 13.
11
Suppose 4*b - 20 = 20. Suppose 32 - b = 2*u. Calculate the remainder when 32 is divided by u.
10
Suppose -8 = -d - 1. Suppose 1 = 4*g - d. What is the remainder when 2 is divided by g?
0
Let p = 5 + -5. Suppose -64 = -2*m - p*m. Let n(s) = -s**3 - 10*s**2 - 10*s + 8. What is the remainder when m is divided by n(-9)?
15
Let v = 14 - 7. Let m(n) = -1 + n**2 + 9 + n + v*n. What is the remainder when 15 is divided by m(-8)?
7
Suppose t - 3*q - 21 = 0, -39 = -5*t - 4*q + 85. Calculate the remainder when 118 is divided by t.
22
Suppose -39 + 357 = 3*r. Calculate the remainder when r is divided by 27.
25
Let y = -56 + 87. What is the remainder when 91 is divided by y?
29
Let w(c) = c**2 - 9*c + 11. Let o = -17 + 31. Let x = o - 6. Calculate the remainder when 7 is divided by w(x).
1
Suppose 0 = -5*g + 4*y + 86, 4*g + 4*y = 50 + 26. Let n(t) = -t**3 + 9*t**2 - 10*t + 27. Calculate the remainder when (-4)/18 - (-382)/g is divided by n(8).
10
Let p(i) = -i**3 + 8*i**2 - 7*i + 5. Let x be 20/3 - 9/(-27). What is the remainder when 7 is divided by p(x)?
2
Let y = -20 - -30. Let v(i) be the first derivative of i**3/3 - i**2 - 2*i - 2. What is the remainder when y is divided by v(4)?
4
Suppose 0 = -9*s + 10*s. Suppose 5*b - 43 - 2 = s. Calculate the remainder when 16 is divided by b.
7
Let m = 43 + -37. Calculate the remainder when 17 is divided by m.
5
Let b = 130 + -73. What is the remainder when b is divided by (60/8)/((-1)/(-2))?
12
Suppose 3*c = 4*v - 316, -5*c = -8*c. Calculate the remainder when v is divided by 27.
25
Suppose 0 = r - 5 - 8. Suppose -3*f + 2*p - 9 = 5*p, -4*f - 5*p = 16. What is the remainder when -1 + f - (-38 + 1) is divided by r?
11
Let o be 9/3*(-4)/(-6). Suppose -o*v + v = 5*s - 11, 116 = 4*v + 2*s. What is the remainder when v is divided by 11?
9
Suppose -3*a - 4*f = -61, 4*a = -3*f + 7 + 72. Calculate the remainder when a is divided by 4.
3
Suppose 3*j + 2*j - 50 = 0. Let g(o) = -o**2 - 15*o + 1. Let m = -38 + 26. Calculate the remainder when g(m) is divided by j.
7
Suppose o + 17 = 3*f, -2*o + 3*o = 5*f - 25. Suppose 2*p + 5*m + 23 = f*p, 0 = 3*p + m - 9. Calculate the remainder when 11 is divided by p.
3
Let j = -46 + 74. What is the remainder when j is divided by 10?
8
Calculate the remainder when 10 is divided by (-96)/112*(-7)/1.
4
Suppose 3 = o - 2. Let s = 2 + -1. Suppose -3*d = -2*a, a = 2*d - d + s. What is the remainder when o is divided by d?
1
Suppose 4*z - 2*z - 46 = 0. Suppose 0 = -7*u + 2*u + 80. Suppose 3*d = 5*d - u. Calculate the remainder when z is divided by d.
7
Calculate the remainder when 31 is divided by 9*(-4 + -1 + 6).
4
Suppose -3*z = -9, 180 = 4*t + 2*z + 10. Calculate the remainder when t is divided by 14.
13
Suppose 0*p + 3*p = 6. Suppose -p = 2*s - 10. Calculate the remainder when (-216)/(-21) - 2/7 is divided by s.
2
Suppose -h + 7 = -11. Let o = h - 6. What is the remainder when 35 is divided by o?
11
Suppose -k + 26 = -80. Suppose -47 = -3*t + 5*o, t - k = -3*t - 2*o. What is the remainder when 95 is divided by t?
23
Let g be (5/(-2) + 3)*-32. Let x = g + 57. What is the remainder when x is divided by 11?
8
Let t(c) = c**3 + 2*c**2 - c + 4. Let i be t(-3). Let g be (i/5)/((-3)/(-15)). What is the remainder when 23 is divided by 1/g + (-50)/(-4)?
11
Suppose 5*r - 4 = -x - 2, -145 = -5*x + 2*r. Calculate the remainder when 48 is divided by x.
21
Suppose 0*z + 33 = -3*z - 5*m, -15 = z + 3*m. Let q = z + 19. Suppose -3 = -2*d + 47. What is the remainder when d is divided by q?
12
Suppose 0*i - i + 92 = 2*v, v - i = 52. Let p = v + -32. Calculate the remainder when ((-2)/(-4))/((-2)/(-184)) is divided by p.
14
Let p = -5 - -92. What is the remainder when p is divided by 22?
21
Let b = 63 + -17. Calculate the remainder when b is divided by 12.
10
Let t = -36 - -50. Suppose -5*g + 162 = -98. Suppose 0 = -3*u + 29 + g. What is the remainder when u is divided by t?
13
Let i(r) = r**3 + 16*r**2 + 9. Calculate the remainder when -1*(-1*1 + -24) is divided by i(-16).
7
Suppose -6*a = -2*a - 276. Suppose 2*t - a = -t. Calculate the remainder when 45 is divided by t.
22
Let u = 29 - 19. Suppose 0 = -0*w - 4*w - 4*q + 48, -4*q + 41 = 3*w. Let a = w - -12. What is the remainder when a is divided by u?
9
What is the remainder when 43 is divided by (-3)/1 - (-1)/(8/112)?
10
Let r be (-18)/(-30) - 3/5. Calculate the remainder when 51 is divided by 13 - (-3)/(-12)*r.
12
Calculate the remainder when 733/7 - (-6)/21 is divided by 30.
15
Let f be 188/6 - (-4)/6. Suppose 1 = -t + 10. What is the remainder when t is divided by f/6 - (-1)/(-3)?
4
Suppose -2*z - 6 = 0, -7*c + 4*z = -2*c - 2. Let g(f) = f**3 + 9*f**2 - f - 10. Let h be g(-9). What is the remainder when 8 is divided by h/c - (-15)/6?
2
Suppose 0 = -x + 5*o, -o - 44 + 2 = 4*x. Let w = 22 - x. Calculate the remainder when 94 is divid