d by 12.
11
Suppose -129*s - 3186 = -247*s. Let u(c) = -c**3 - 6*c**2 - 6*c + 5. Calculate the remainder when s is divided by u(-5).
7
Suppose 2*l - 69 - 25 = 0. Suppose -w + 2*h = 16, -5*w + 0*h - 110 = 5*h. What is the remainder when l is divided by w/(-6)*5/((-50)/(-36))?
11
Suppose 8 - 33 = -p. Suppose 5 + 3 = 2*u. Suppose -u*m = -r - 50, 4*m = -m + 3*r + 59. What is the remainder when p is divided by m?
12
Calculate the remainder when 91 is divided by -4 - (-50 - (-14 - -6)).
15
Suppose 2*g - 5*z = 18, -z + 5*z = -3*g + 27. Let r = -9 - -11. What is the remainder when g is divided by r?
1
What is the remainder when 1889 is divided by (15 + 20)*(-7)/((-7)/2)?
69
Suppose -5*x = -610 - 485. Calculate the remainder when x is divided by 22.
21
Let b be (-6)/(-2 - (-5)/2). What is the remainder when 62 is divided by (-153)/b + 2*2/16?
10
Suppose 0 = -11*o + 16*o - 755. Let x = o + -34. What is the remainder when x is divided by 30?
27
Suppose 0*c - 4*c + 16 = 0. Suppose -4*h = j - 331 - 61, -307 = -3*h - c*j. Suppose -h = -4*s + 47. What is the remainder when s is divided by 10?
6
Let t = -298 + 564. Suppose i - 5*o = -2*i + t, -o = i - 86. Suppose -3*p + i = 18. Calculate the remainder when p is divided by 14.
9
Suppose 0*m - 30 = -3*m. Let d(v) = -43*v - 4 + 6 + 45*v. Calculate the remainder when d(m) is divided by 6.
4
Let m(h) = -h**2 - 11*h - 13. Let v be m(-9). Let k(j) = 2*j**2 + 2*j + 17. What is the remainder when k(v) is divided by 13?
12
Suppose -6 = 4*l + 26. Let g = 63 + -36. Calculate the remainder when 78/(11/11*(-6)/l) is divided by g.
23
Suppose -5 = -2*b + 47. Let q = b + 7. Let w = q - 20. Calculate the remainder when 24 is divided by w.
11
Suppose 161*r - 156*r - 205 = 0. Let i = 21 + r. What is the remainder when i is divided by 17?
11
Suppose 108 = 1223*x - 1219*x. Calculate the remainder when 107 is divided by x.
26
Let m = 21 + -11. Let x = 6 + -1. Suppose -59 = -2*p - 3*n, -x*p - n + 141 = -0*n. Calculate the remainder when p is divided by m.
8
Let z be 4/(-10) - (-1344)/60. Suppose 0 = -5*t + 142 - z. What is the remainder when 93 is divided by t?
21
Suppose u - 5*u + 236 = 3*m, 3*m - 12 = 0. Suppose -32*k = -40*k + 152. What is the remainder when u is divided by k?
18
Let p be (1/(-1))/((-3)/21). Suppose -7 = -p*u + 7. Suppose -4*y + u*y - 2*o = -228, -3*o - 208 = -2*y. What is the remainder when y is divided by 28?
26
Let x = 9 - 3. Suppose 9*f + x = 11*f. Suppose f*j = 10 + 26. What is the remainder when 59 is divided by j?
11
Suppose -w = 5 - 10. Suppose -h - 4*h = w. What is the remainder when (6/(-4) - h)*-180 is divided by 31?
28
Suppose -5*h + 5*x = -160, -7*h - 3*x + 176 = -2*h. Suppose 2*t - 24 = 4*o + 110, -4*t + 258 = 2*o. Calculate the remainder when t is divided by h.
31
Let l(i) be the first derivative of -i**4/4 - 16*i**3/3 - 15*i**2/2 + 23*i + 35. Calculate the remainder when 62 is divided by l(-15).
16
Let f = -31 - -21. Let w(o) = -o**3 - 9*o**2 + 7*o + 5. Calculate the remainder when 137 is divided by w(f).
32
What is the remainder when 1/((-1)/(-97)) - -2 is divided by 44?
11
What is the remainder when (-22725)/(-375)*(-2 + 1)*-5 is divided by 51?
48
Suppose 9*k - 11*k + 14 = 0. Calculate the remainder when 157 is divided by k.
3
Let g be -3 + (4 - (-1 - -24)). What is the remainder when g*(15/(-6) - -2) is divided by 4?
3
Suppose -97*u + 102*u = 30. Suppose -2*n + 23 = 1. Calculate the remainder when n is divided by u.
5
Let h be (-65)/(-4) + 1/(-4). Let t be (-2)/2*(-3 - h). Suppose 2*z + 41 = n, -n - 3*z + 2 = -t. Calculate the remainder when n is divided by 9.
6
Suppose 3*j = 5 + 7. Suppose -j*f + 31 = -n - 8, -2*f + 3*n + 7 = 0. What is the remainder when 74 is divided by f?
8
Suppose -5*b = -15, -3*g + 8*g - 217 = b. Suppose -15*s = -11*s - g. Let k(f) = f**2 + 4. Calculate the remainder when k(6) is divided by s.
7
Suppose 0 = 15*h - 1043 - 232. What is the remainder when h is divided by 43?
42
What is the remainder when 13 is divided by (2/(-4))/(17/(-34))?
0
Suppose 3*s = -s + 5*x + 213, 0 = -3*s - 2*x + 177. What is the remainder when s is divided by 15?
12
Let i = -460 - -493. Calculate the remainder when 95 is divided by i.
29
Let q be (35/(-35))/(1/(-30)). Suppose -q*o - 177 = -33*o. Suppose -d + 45 = 2*d. Calculate the remainder when o is divided by d.
14
Suppose n = 3*c + 25, -4*n + 50 = -0*n - 2*c. Let a(j) = -j + 2. Suppose 4 = -3*u - 8. Calculate the remainder when n is divided by a(u).
4
Let h(l) = 5*l**2 - 3*l - 2*l + 11 + 0*l**2. Let y(u) = -4*u**3 + 3*u + 2. What is the remainder when h(5) is divided by y(-2)?
27
Suppose c - 85 = -0*c. Calculate the remainder when c is divided by -2 - (-12)/4*8.
19
Suppose 4*w = 3*g - 61, 3*g - 5*w = 2*g + 24. What is the remainder when g is divided by 1?
0
Suppose -g + 6*x - 8*x + 20 = 0, -3*g + 96 = -3*x. Let i = -85 - -166. Calculate the remainder when i is divided by g.
25
Calculate the remainder when (14*-1*(-27)/(-6))/(-1) is divided by 33.
30
Suppose -5*o - 29 = -3*b - 106, 4*o - 72 = 5*b. Suppose x - 7 = -0*x. Let g = -3 + x. What is the remainder when o is divided by g?
1
Let g(r) = r + 1. Let t be g(1). Suppose -n + 13 = 3*l - 12, -10 = -t*l. What is the remainder when 47 is divided by (1 + -9)/((-5)/n)?
15
Let c(u) = -u**2 + 6*u - 2. Let i be c(5). Let p(v) = 2*v**2 + 2*v - 109. Calculate the remainder when (i/2)/(3/20) is divided by p(-8).
1
Let g = 292 - 287. What is the remainder when 13 is divided by g?
3
Let w be -4 + (4 - -3 - -3). Suppose -77 = -w*n - n. Calculate the remainder when 65 is divided by n.
10
Calculate the remainder when (-10)/(-3)*1026/30 is divided by 32.
18
Let k(v) = 5*v**2 + 7*v - 27. Calculate the remainder when k(-6) is divided by 35*2*4/10.
27
Suppose 16 - 1 = 3*t. Let j(k) = k**3 - 6*k**2 + 5*k - 4. Let f be j(t). Let b = 13 + f. Calculate the remainder when 16 is divided by b.
7
Let x(j) = 23*j + 2. Let y be x(-1). Calculate the remainder when 44 is divided by (-30)/(-4)*(y + 23).
14
Suppose 6*j = 3 + 27. Suppose -3*s + 5*f + 4 = -37, 4*s - j*f = 63. What is the remainder when 59 is divided by s?
15
Suppose -f - o = 0, -3 = f - 5*o - 27. Suppose 0 = 4*l - f, -4*l = -4*a - 0*l + 104. Calculate the remainder when 106 is divided by a.
25
Let a(q) = q**3 - 7*q**2 - 2*q - 7. Let b be a(6). Let y = -49 - b. Let o = -8 + 36. What is the remainder when o is divided by y?
4
Let i(b) = -b**3 - 3*b**2 + 12*b - 23. What is the remainder when i(-7) is divided by 4?
1
Suppose -10 = -5*b - 0*b. Let n be (-22)/(-6) - b/(-6). Suppose 3*q - 45 = n*y, -2*q + y + 26 = -3*y. Calculate the remainder when q is divided by 7.
5
Let a(g) = -g**2 + 6*g + 36. What is the remainder when 106 is divided by a(0)?
34
Let m = -11 - -17. Let t = -196 - -200. Suppose -3*r - m = -t*r. What is the remainder when 21 is divided by r?
3
Let v(x) = 4*x + 2 + 4*x - 6. Let p be v(3). Suppose 4*y + y - p = 0. Calculate the remainder when y is divided by 2.
0
Let w = -63 + 122. What is the remainder when w is divided by -1*(4 + -2) + 23?
17
Suppose -5*s + 130 = 5*v, v - 11 = 3*s + 3. Let b = -89 - -176. Calculate the remainder when b is divided by v.
18
Suppose -x + 3*z + 43 = 0, -2*z = 2*x - x - 33. What is the remainder when x is divided by 16?
5
Let d(n) be the third derivative of n**5/30 + n**4/4 + 2*n**3/3 + 3*n**2. Let l be d(-5). What is the remainder when (-16)/3*l/(-16) is divided by 5?
3
Let g(t) = t**3 - 11*t**2 + 11*t + 12. Let d be (3 - 5)/(1/89). Let h = d + 264. What is the remainder when h is divided by g(10)?
20
Suppose 14*z = 5*z - 54. What is the remainder when 27 is divided by 60/(-9)*z/4?
7
Suppose -243*j + 237*j + 264 = 0. What is the remainder when 261 is divided by j?
41
Let f(l) be the second derivative of l**5/20 - 11*l**4/12 - 2*l**3 + l**2/2 - 16*l. What is the remainder when 7 is divided by f(12)?
0
Let p(d) = -d**2 + 18*d - 8. Let a = 64 + -57. What is the remainder when p(a) is divided by 18?
15
Suppose -2*v + 5*o + 153 = -0*v, 0 = -3*v - 5*o + 242. Suppose 3*p - l = v, 2*p + 2*l - 21 = 21. What is the remainder when 122 is divided by p?
22
Suppose 4*a - 801 = 5*o, -a - 3*o + 0*o + 179 = 0. Calculate the remainder when a is divided by 29.
20
Suppose -5*b + k + 26 = -39, 5*b = -k + 65. Suppose 422 = 5*w - b. Suppo