 is divided by 12?
10
Calculate the remainder when 148 is divided by ((-12)/30)/((-1)/95).
34
Let u be (-25)/(-10) + 1/(-2). Suppose u*n - 35 = -3. What is the remainder when 61 is divided by n?
13
Let s(w) = w**2 - 4*w - 5. Suppose 0*m = -m + 13. What is the remainder when m is divided by s(6)?
6
Suppose 0 = -8*p + 4*p + 40. What is the remainder when 46 is divided by p?
6
Let c(w) = -w - 2. Let h be (-2)/((-6)/45*-3). Suppose i + 17 = -5*a, 5*i + 2*a - 35 = a. Calculate the remainder when i is divided by c(h).
2
Let p(c) be the first derivative of c**3/3 - 3*c - 1. Let y(w) = -4*w - 20. Calculate the remainder when y(-11) is divided by p(4).
11
Suppose h = -2*h + 237. Let o(p) = 2*p + 8. What is the remainder when h is divided by o(6)?
19
Let g(u) be the first derivative of -3*u**2/2 - 5*u + 1. What is the remainder when g(-4) is divided by 4?
3
Suppose -4*c + 0*c = -40. Calculate the remainder when 29 is divided by c.
9
Let w(t) = 4*t**2 + 2*t - 1. Suppose 3*n - 3 = 165. Calculate the remainder when n is divided by w(2).
18
Suppose -4*w + 30 + 10 = 0. Suppose 0 = -5*a + a - 5*q + 19, 3*q = -3. What is the remainder when w is divided by a?
4
Calculate the remainder when 9 is divided by 0 + 0/(-2) - (-3)/1.
0
Suppose 5*p = p + 8. What is the remainder when 47 is divided by (24*-1)/p*-1?
11
Suppose 4*l = -2*d - 0*l + 36, -3*d - 5*l + 55 = 0. Let c = 90 + -12. What is the remainder when c is divided by d?
18
Let a(r) = -10*r + 11. Calculate the remainder when a(-3) is divided by 15.
11
Let o = 8 + -5. Calculate the remainder when 4 is divided by (o/(-9))/(2/(-12)).
0
Let y(u) = -7*u - 10. Let c be (-2)/(-3) + (-104)/12. Calculate the remainder when y(c) is divided by 12.
10
Let a(x) = x**3 + 7*x**2 + x + 17. What is the remainder when a(-7) is divided by 6?
4
Suppose 0 = 5*t - 53 - 177. Suppose 0 = -2*l + 2*u - 62, l + 65 = 3*u + 26. Let j = l + t. Calculate the remainder when j is divided by 7.
5
Suppose -3*i + 77 + 16 = 0. Suppose -m + 17 = 1. Calculate the remainder when i is divided by m.
15
Let k = -22 - -35. What is the remainder when 29 is divided by k?
3
Suppose 3*s - 50 = 88. What is the remainder when 228 is divided by s?
44
Let k be (-2 + -14)/(3/(-9)). Suppose 0 = 3*u + 4*j - k, 5*u - j - 5 = 75. What is the remainder when (-6)/(-9) + 408/9 is divided by u?
14
Let q = 44 - 30. Let z be ((-5)/2)/((-3)/6). Suppose -2*w = -z*w + 120. Calculate the remainder when w is divided by q.
12
Let b(s) = -7*s + 45. What is the remainder when 5*-1*-1*14 is divided by b(3)?
22
Let r(p) = 4*p - 57. Calculate the remainder when 28 is divided by r(18).
13
Let l(r) = -r**3 + 7*r**2 + 3. Let p = 14 - 12. Calculate the remainder when l(7) is divided by p.
1
Suppose -5*w - 62 = -127. What is the remainder when 21 is divided by w?
8
Let i = 154 - 109. Let q = i + -20. Calculate the remainder when q is divided by 13.
12
Let p(u) = u**3 - 6*u**2 - u + 7. Let a be p(6). Suppose 5*j - 51 = -a. Calculate the remainder when 27 is divided by j.
7
Let v = 1 + 4. Suppose v*m = -0*m. Calculate the remainder when -1 - (-2 - m) - -9 is divided by 4.
2
Let m = 47 - 40. What is the remainder when 46 is divided by m?
4
Suppose 2*x - 58 = 2*a, 4*x - 3*a = 17 + 102. Calculate the remainder when 95 is divided by x.
31
Let y be 0*3/((-9)/(-3)). Suppose y = j + 3*j - 20. Let i = -3 - -6. What is the remainder when j is divided by i?
2
Suppose -2*d = d. Suppose 0*x + 3*x - 45 = d. What is the remainder when x is divided by 4?
3
Suppose 0 = -g - 4*g. Let a(u) = u**2 + u - 4. What is the remainder when 32 - (-2 - (-3 - g)) is divided by a(4)?
15
Suppose 4*s + 6 = -2. Let b be (1/(-2))/(s/(-4)). Calculate the remainder when 26 is divided by 10 + (b - (-1 - -1)).
8
Let x = 3 - 1. Suppose b + 30 = 4*b + 3*i, 0 = -b + 3*i + x. Suppose f = 5*f - b. Calculate the remainder when 5 is divided by f.
1
Suppose 5*q = 5*o + 32 + 113, q + 4*o - 4 = 0. Let i be 4/(-14) - 32/(-14). Let v(s) = 4*s**2 - 2*s + 1. What is the remainder when q is divided by v(i)?
11
Let f(i) = i**3 - 5*i**2 - 6*i - 3. Calculate the remainder when f(7) is divided by 27.
26
Suppose 4*t - 3*g = 169, -t = t - 2*g - 84. Calculate the remainder when t is divided by 9.
7
Suppose -3*h + 5 = -5*u + 50, -3 = u - 3*h. Calculate the remainder when 57 is divided by u.
9
Suppose 4*q - 336 = -12*t + 8*t, -t + q + 74 = 0. Calculate the remainder when t is divided by 21.
16
Let r(x) = 3*x**2 - 3*x - 2. Calculate the remainder when 43 is divided by r(-2).
11
Calculate the remainder when 19 is divided by (-3 + (-126)/(-30))*10/2.
1
Let g(f) = 6*f**3 - 3*f**2 + f. What is the remainder when g(2) is divided by 25?
13
Let z = -71 - -98. What is the remainder when z is divided by 7?
6
Suppose -w = 2*l - 26, -3*l - 53 = -5*w + 116. Suppose 33*x - 9*x = 168. What is the remainder when w is divided by x?
4
Suppose -155 = -3*d + 31. Suppose 4*f - 63 = -6*p + 3*p, 3*p - 4*f = 63. What is the remainder when d is divided by p?
20
Let m = -7 + 9. Suppose -m*g = g - 18. What is the remainder when 4/g + 174/9 is divided by 7?
6
Suppose -4*x - v = 2*v - 83, -4*x + 3*v = -101. What is the remainder when 114 is divided by x?
22
Let w(s) = 8*s - 6*s**2 - 1 + 2*s + 4*s**2 + s**2. What is the remainder when w(4) is divided by 12?
11
Let x = 49 + -71. Let w = x + 47. Calculate the remainder when w is divided by 13.
12
Suppose a + 17 = 4*f, 4*a + f - 5*f = -8. Suppose 2*x - 260 = -a*x. What is the remainder when x is divided by 18?
16
Suppose -6 = s + s. Suppose 2*g + 2*r = 27 + 25, 180 = 5*g - 5*r. Calculate the remainder when g is divided by 2/((-70)/(-22) + s).
9
Suppose -5*o + u = -3*u - 88, 0 = -5*u + 15. Let k = 1 - 1. Suppose k*y + 35 = 5*y. What is the remainder when o is divided by y?
6
Let j be 6/(-18) + 122/6. Suppose 6*t = 28 + j. What is the remainder when 27 is divided by t?
3
Let k = -58 + 109. What is the remainder when k is divided by 18?
15
Let h(f) = f**3 + 6*f**2. Let m be h(-6). Suppose -t + 16 = -m*t. What is the remainder when 46 is divided by t?
14
Let s(w) = -w**3 - 4*w**2 - 3*w - 2. Let y be s(-2). Let x = 8 - 2. Calculate the remainder when (10/y)/(3/(-12)) is divided by x.
4
Let f(t) = 2 + 2*t - 7 - 2 - 6*t. What is the remainder when 24 is divided by f(-5)?
11
Suppose 12*p - 11*p = 39. What is the remainder when 74 is divided by p?
35
Suppose 0 = 3*d, -2*n - n - 3*d = -99. Calculate the remainder when n is divided by 1/4 + 402/24.
16
Let o(u) = 8*u**2 - u. Suppose 4*d - 118 = d - 4*v, 116 = 4*d - 5*v. What is the remainder when d is divided by o(-1)?
7
Let d(p) = p**3 - 3*p**2 + 2*p - 8. Suppose 2*u + 2*u - 36 = 0. Suppose -3*l + u + 81 = 0. What is the remainder when l is divided by d(4)?
14
What is the remainder when 122 is divided by (-59)/(-2) + (-12)/(-8)?
29
Suppose -g = -3*g + 4. Suppose 6*h - g*h = -8, 5*c + 5*h - 60 = 0. What is the remainder when c is divided by 4?
2
Suppose -h = -0*h - 3, 2*h = -4*o + 218. What is the remainder when o is divided by 14?
11
What is the remainder when 2/(-4) - 1170/(-12) is divided by 25?
22
Suppose 3*j + 4 + 26 = 0. Let c = 12 + j. Let i(g) = g**3 + 4*g**2 + 2*g. What is the remainder when i(-3) is divided by c?
1
Suppose u + 4*n = 0, 0*n + 9 = -3*n. Calculate the remainder when 34 is divided by u.
10
Let i(u) = 5*u - 3. Let f = 7 + -4. Suppose d = p + 11, f*d + p = 3*p + 36. What is the remainder when i(6) is divided by d?
13
Let q(f) = -f**2 + 8*f + 10. Let p be q(8). Suppose m - 5 = 21. Suppose -2*k + u + m - 4 = 0, -k + u + p = 0. What is the remainder when k is divided by 7?
5
Let a = -34 - -115. Calculate the remainder when a is divided by 28.
25
Let i(n) be the third derivative of -n**5/60 + n**4/4 - n**3/6 + 2*n**2. What is the remainder when 11 is divided by i(5)?
3
Suppose 0 = -4*n + 2*n + 30. What is the remainder when 44 is divided by n?
14
Let u = 102 + -35. Calculate the remainder when u is divided by 23.
21
Suppose 5*l - 68 - 22 = -5*i, -3*l - 5*i = -62. What is the remainder when 66 is divided by l?
10
Let o(r) be the third derivative of r**5/30 - r**4/6 - r**3/6 - 2*r**2. Calculate the remainder when o(5) is divided by 10.
9
Suppose 5*g - 143 + 23 = 0. Suppose 0 = -3*r + g + 48. What is the remainder when 46 is divided by r?
22
Let b(r) = -r**2 - 4*r. Let k be b