 Calculate the remainder when 45 is divided by i.
3
Let y = -1 + -1. What is the remainder when 22*((-9)/(-2) + y) is divided by 19?
17
Let g(i) = i**2 + 3*i + 2. Let h be g(-3). Suppose -h*k = -4*k + 60. Suppose -2*s = 3*s - k. What is the remainder when 11 is divided by s?
5
What is the remainder when (-264)/(-6) - (-4)/2 is divided by 12?
10
Suppose -s + 5 = -4*r, -6*s = -4*s + 3*r - 65. Calculate the remainder when 46 is divided by s.
21
Let t(q) be the first derivative of q**2/2 - 10*q + 4. Suppose -5*m = v - 6, 2 + 2 = 4*v. Calculate the remainder when t(12) is divided by m.
0
What is the remainder when 4/(-18)*1 + 546/27 is divided by 7?
6
Let d = 10 + -7. Calculate the remainder when 4 is divided by d.
1
What is the remainder when 90 is divided by -3 + 3 - (-26 - (-1 + -2))?
21
Let v(d) = d + 41. Let g(x) be the second derivative of x**3/6 + 3*x**2 - 2*x. Calculate the remainder when v(-10) is divided by g(5).
9
Let m = -35 - -60. Let n = -54 - -63. What is the remainder when m is divided by n?
7
Let p = -23 + 26. Let u(y) = -y**3 + 7*y**2 - 4*y - 5. Let s be u(5). Let g = -18 + s. Calculate the remainder when g is divided by p.
1
Let z = 14 + 24. Suppose -2 = -2*t, a - 5*a + 2*t + 238 = 0. Suppose 3*h + a = 6*h. Calculate the remainder when z is divided by h.
18
Suppose 3*m + 135 = 453. What is the remainder when m is divided by 18?
16
Let l = 16 - 0. What is the remainder when 60 is divided by l?
12
Let y be 163/3 + (-2)/(-3). Suppose -5*c + y = 5*x, -x - x - 5*c = -7. Suppose -210 = 12*o - 19*o. What is the remainder when o is divided by x?
14
Suppose 0 = 4*a - 20 - 20. Suppose -7*h = -2*h - 4*q - 86, 0 = -h - 2*q + 20. Calculate the remainder when h is divided by a.
8
Suppose -2*z + 4 = 0, -3*z = 3*d + 11 - 74. Let c = -2 + 2. Suppose c = -0*q - 2*q + 20. Calculate the remainder when d is divided by q.
9
Suppose 237 = j - 4*j. Let m = -30 - j. What is the remainder when m is divided by 25?
24
Suppose -m + 2*m - 7 = 0. Let h = -2 - -6. What is the remainder when m is divided by h?
3
Let p(l) = 9*l - 15. Let u(c) = -58*c**3 - c**2. Let t be u(1). Let y = t + 94. Calculate the remainder when y is divided by p(3).
11
Let p = 17 + -4. Calculate the remainder when 45 is divided by p.
6
Let a(d) = -d**3 + 2*d**3 - 7*d + d**2 - 5 + 0 + 2*d**2. What is the remainder when (22 + -3)*(0 - -1) is divided by a(-4)?
5
Let y(k) = k**3 - 7*k**2 + 5. Let j be y(7). Suppose 3*b - 28 = j. Calculate the remainder when 31 is divided by b.
9
Suppose 5*j + 35 = 5*h, -3*h + j + j = -18. Let p = 20 - -12. Calculate the remainder when p is divided by h/2*(-11)/(-2).
10
What is the remainder when -2 + 672/49 + 2/7 is divided by 2?
0
Suppose -3*b = -3*l - 255 - 39, -197 = 2*l - b. Let g = 168 + l. What is the remainder when g is divided by 18?
15
Suppose 4*w - 21 = -5. Suppose 0*l = -w*l + 52. Calculate the remainder when l is divided by 7.
6
Suppose -3*z = -3, 5*z + 45 = 3*q + 14. What is the remainder when 35 is divided by q?
11
Suppose -7*k + 4*g + 7 = -6*k, -3*k - 4*g + 69 = 0. Calculate the remainder when k is divided by 10.
9
Let r = -3 - -10. Suppose 4*z = o + 105, 7*z - 3*z + o - 103 = 0. What is the remainder when z is divided by r?
5
Let t(i) = i**2 - 7*i + 8. What is the remainder when 13 is divided by t(7)?
5
Let l = -14 + 26. Calculate the remainder when 32 is divided by l.
8
Let l = -4 + 12. What is the remainder when 30 is divided by l?
6
Suppose -j - 3*j + 136 = 0. Calculate the remainder when j is divided by 13.
8
Suppose 5*a + 0*a - 43 = -m, -3*a + 37 = -5*m. Suppose 0 = 3*w + 4*h + a - 40, 2*h = w - 17. Calculate the remainder when w is divided by 7.
6
Let o = -10 + 15. Suppose -2*g - 5 = -3*g. Suppose g*b = o*w - 100, -4*b = w + w - 58. Calculate the remainder when w is divided by 12.
11
Let y(d) = 18*d**3 - d**2 + d. Let a(s) = s**2 - 9. Calculate the remainder when y(1) is divided by a(4).
4
Let d(x) = 9*x + 10. What is the remainder when d(5) is divided by 21?
13
Let x be 15/(-10)*-1*2. Suppose -4*g + 3*d + 122 = 0, -5*g + 5*d = -x*g - 68. Calculate the remainder when 85 is divided by g.
27
Suppose 5*w = 4*v - 45, 2*w = 4*v - w - 35. Suppose -4*d + 0*f + 4*f + 12 = 0, 0 = -4*d - v*f + 39. What is the remainder when 11 is divided by d?
5
Let b = -18 - -31. Suppose -5*p = -3*x - 62, -4*p + 96 = -2*x - 2*x. Let a = -4 - x. Calculate the remainder when a is divided by b.
12
Let p(o) = 2*o**2 + 2*o - 4. Let v be p(-4). Suppose 0 = -2*u - v + 58. What is the remainder when 37 is divided by u?
18
Suppose 0 = 5*r - 2*r - 60. Calculate the remainder when 39 is divided by r.
19
Let y = 117 + 0. Suppose 0 = 20*m - 204 - 596. Calculate the remainder when y is divided by m.
37
Suppose u = 5 - 3. Suppose 18 = -u*x - 3*t + 62, -4*t = 0. Calculate the remainder when 3/(6/(-4)) + 45 is divided by x.
21
Let p(i) = -20*i + 1. Let w be p(-1). Suppose -w = -5*a + 9. Suppose -c + 0*c = -a. Calculate the remainder when 10 is divided by c.
4
Suppose w - 4*w = -3*z - 384, -3 = -3*z. What is the remainder when w is divided by 26?
25
Suppose 6*g - 267 = -33. Calculate the remainder when 130 is divided by g.
13
Let t = 11 - 6. What is the remainder when 7 is divided by -2*(-1)/(-2) + t?
3
Let f = 35 + -22. What is the remainder when 4/(-6) + (-154)/(-6) is divided by f?
12
Suppose 0 = -2*y + y - 1. Let z(w) = -15*w**3 + w**2. Let p be z(y). Suppose 5*g - 79 - p = 0. What is the remainder when g is divided by 7?
5
Let u(x) = x**3 - 5*x**2 - 4*x. Let s = -198 - -220. Calculate the remainder when s is divided by u(6).
10
Let y be -4*-2*6/16. Suppose c = y*c - 88. Let p = c + -16. What is the remainder when p is divided by 10?
8
Let s(u) = 3*u**3 - 3*u**2 - 3*u + 2. What is the remainder when s(3) is divided by 13?
8
Calculate the remainder when 3/((-45)/(-760))*9/6 is divided by 26.
24
Suppose 139 = 5*g - h, 0*h + 4*h = 4*g - 108. What is the remainder when 81 is divided by g?
25
Suppose 5*c + 0*g = -4*g + 196, 2*g - 8 = 0. Let f(p) = -p**3 - 2*p**2 + p - 9. Calculate the remainder when c is divided by f(-4).
17
Let f(y) = 10*y**2 + y. Let g be f(-1). Suppose c + g = 4*c. Let z = -24 + 32. Calculate the remainder when z is divided by c.
2
Let z be (1 - 1)*(-4)/(-8). Suppose z = -5*b - 0*c + 4*c + 10, 4*b - 44 = -4*c. Suppose m - 1 - b = 0. What is the remainder when 13 is divided by m?
6
Suppose 92 = 3*n - 25. Let b = n - 28. What is the remainder when 41 is divided by b?
8
Suppose 5*s = -0*s - 2*j + 56, -4*j = -4*s + 28. Let o = -6 + s. Suppose -17 = -5*y - 3*r, -7 = -3*y - 9*r + o*r. What is the remainder when y is divided by 3?
1
Let x = -166 + 190. What is the remainder when 94 is divided by x?
22
Calculate the remainder when (2/4)/(1/246) is divided by 31.
30
Let u = 3 - 1. Suppose u*i - 103 = 7. Suppose 0 = 3*o - 40 - 17. What is the remainder when i is divided by o?
17
Suppose u - 10 = 3*f, 0 = -2*u - 5*f - 1 - 1. Let p(k) = k**2 - 6*k + 4. Let l be p(u). What is the remainder when 1/l + (-121)/(-4) is divided by 11?
8
Let d(m) = 2*m**2 + 3*m + 3. Let j(x) = -x**2 - 3*x - 2. Let n be j(-4). Calculate the remainder when d(n) is divided by 20.
17
Let i = 1 + 1. Calculate the remainder when 2 is divided by i.
0
Let b(a) = a**2 + 8*a + 10. Let n be b(-7). Suppose -96 = -0*g - 4*g - 2*o, n*o = -2*g + 44. Calculate the remainder when 49 is divided by g.
24
Let m = 273 + -24. Calculate the remainder when m is divided by 18.
15
Let r(n) = -4*n + 3. Let k be r(2). Let b = 10 + k. Suppose v - 7 = -t, -5*v - 2*t + 38 = -0. Calculate the remainder when v is divided by b.
3
Suppose 12 = 4*o - 0. Suppose 0 = -o*f - 15, -2*y + 39 - 6 = -5*f. Let k(w) = w**3 - 3*w**2 - 2*w + 5. What is the remainder when k(y) is divided by 5?
3
Let x(p) = 20*p**3 + 2*p - 1. Let v(c) = c - 7. Let w be v(8). Calculate the remainder when x(w) is divided by 12.
9
Suppose -7*p + 27 = -6*p. What is the remainder when p is divided by 15?
12
Suppose -61 + 321 = 5*f. What is the remainder when f is divided by 27?
25
Let w(x) = x**3 + x**2. Let q be w(1). What is the remainder when q/(2 - (-30)/(-16)) is divided by (-65)/(-7) + (-8)/28?
7
Let t(k) = 8*k - 3. Let w = 0 + 4. Let j(g) = g**3 + 16*g**2 - 19*g - 24. Calculate the remainder when t(w) is divided by j(-17).
9
Suppose n - 26 = -22. Suppose 