and -2*(132/(-6) - c).
432
Let t(n) = 2*n**3 - n**2 + n + 120. Let h be t(0). Suppose -v = -4*o + 2*v + h, -4*o + 120 = 3*v. What is the common denominator of o and -41?
1
Let q be 1*((85 - -4) + 0). Let w = -80 + q. Calculate the lowest common multiple of 2 and w.
18
Let k be (-2)/316*(-1)/((-4)/42). Let r be (9852/(-6320))/((-6)/34). Let l = r - k. Find the common denominator of l and -95/12.
60
Let r = 83309/4 - 20933. Suppose -s = 3*o - 309, s = 5*o + 3*s - 516. Let g = r + o. What is the common denominator of 21/4 and g?
4
Let f = -158122/15 - -10547. Let h = 186968/15 + -12460. Find the common denominator of h and f.
15
Let r(v) = -10*v**3 + v**2 + 4*v + 4. Calculate the lowest common multiple of r(-2) and 170.
1360
Suppose 0 = -4*a + 3*b + 20, -b = 4*a - 5*b - 24. Calculate the common denominator of (-217)/12 + a/8 and -15/2.
6
Let b = 25 + -35. Find the common denominator of -107/6 and (-413)/(-30) + (-4)/b.
6
Let m = -320 + 3510/11. Let g = -46399/4 - -11249. Let v = 355 + g. Find the common denominator of v and m.
44
Suppose 3*p - p = 2*x - 104, 4*x + 2*p - 208 = 0. Let s = -42 + x. What is the smallest common multiple of (1 + (-14)/10)*-5 and s?
10
Find the common denominator of (-7627)/(-290) - 4/5 and -119/72.
72
Let c = -13 - -34. Let z = 10983 + -10950. Calculate the smallest common multiple of c and z.
231
Let z(i) = -i - 21. Calculate the least common multiple of z(-25) and 60.
60
Calculate the common denominator of 6 + -10 - (-236)/44 and -2/19.
209
Let h(m) = 4*m + 1 - 11*m**2 - 3*m - 20*m**2 - 4. Let u be h(-3). Calculate the smallest common multiple of 2 and 6/9*u/(-10).
38
Suppose 6*x - 1110 = 8*x. Find the common denominator of (x/30)/(5/(-2)) and -93/20.
20
What is the least common multiple of 90 and (-81)/5*(-240)/36?
540
Let n = 40685469/2020 + -100706/5. Find the common denominator of 25/18 and n.
3636
Find the common denominator of -47/175 and (-1)/(-6)*29133/4150.
700
What is the least common multiple of (-2 - (-2436)/33) + 8/44 and 28?
504
Let c(k) = -14*k - 42. What is the smallest common multiple of c(-8) and 63?
630
Let p = -409 + 4097/10. Calculate the common denominator of (-65081)/(-16610) - (-16)/(-10) and p.
110
What is the common denominator of (2/(-4))/(12/(8136/(-3030))) and 121/20?
2020
Suppose 133*o = 10*o + 190035. What is the lowest common multiple of o and 4?
6180
Let u(i) = -8*i + 16. Suppose 3*v - 21 = -2*x - 78, -4*v + 2*x - 76 = 0. Calculate the smallest common multiple of u(v) and 20.
840
Let y(q) = -8*q + 3. Let b = -12 + 14. Suppose u - 2*u - 3*c = b, -2 = u - 2*c. What is the smallest common multiple of y(u) and 4?
76
Let k = -17225 + 4271815/248. What is the common denominator of k and -1/93?
744
Suppose -34 = -3*x - 2*l - 2*l, 0 = -4*x + 3*l + 87. Let v = -47 + 108. Calculate the least common multiple of v/9 + 32/144 and x.
126
Let s = 22147 - 664339/30. What is the common denominator of s and -82/15?
30
Calculate the least common multiple of (-3)/(-2) - (-11 - (-210)/20) and (2 - -1 - 2)*9.
18
Let c = 15 - 12. Calculate the common denominator of 45/8 and (-4)/(28/c) + 426/308.
88
Let q(k) = -33*k + 14. Let m be q(14). Find the common denominator of (-13)/2*(m/(-77) + -6) and -38/5.
55
Suppose 0 = 2*s + p + 12, 0*p = -2*s - 2*p - 10. Calculate the least common multiple of 15 and (-3)/s - (-156)/28.
30
Let m(x) be the first derivative of x**2/2 - 11*x + 1. Suppose 3*v - 18 = -2*y, -56 = -3*y - 2*y - 2*v. Calculate the least common multiple of 6 and m(y).
6
Let l = 960737/70 - 13726. Find the common denominator of 25/98 and l.
490
Let t be (-3)/(24/25672) + 1/1. Let m = -19189/6 - t. Calculate the common denominator of m and -133/6.
6
Suppose o = 5*f - 30, -f = -0*o - 5*o - 54. Let r = -7 - o. Suppose 0 = 5*j - t + 3 - 23, 2*j + r*t - 8 = 0. Calculate the smallest common multiple of 9 and j.
36
Let j = 13/358 + -2286/6265. What is the common denominator of 52/7 and j?
70
Let g = -1339/294 - 30/49. Calculate the common denominator of g and -95/1532.
4596
Let c(w) be the second derivative of w**5/20 - w**4/12 + w**3/2 + 4*w**2 + 28*w. Calculate the lowest common multiple of c(0) and 28.
56
Let q = -34905/1042 - 1/521. Let w be 15/1*(-4)/(-1 - 3). Calculate the common denominator of (3/(-2))/(1/(w/54)) and q.
12
Suppose p + 3*g - 15 = 3, 5*g = p - 10. Let f = 42535/8 - 5308. Calculate the common denominator of f and 3/15 - (-47)/p.
24
Let f be (-158)/(-10) + 2 + 2. Let s = f - 668/35. Let i = -2209 - -6632/3. What is the common denominator of s and i?
21
Let l = -7375/11 - -669. Let h be ((-3)/(-9))/(2/(-201)). Let u = h + 287/10. What is the common denominator of u and l?
55
Let t = -4/55489 - 895679/998802. What is the common denominator of 17/30 and t?
630
Let k = 1019 - 999. Let i(y) = y**2 + 5*y - 4. Calculate the smallest common multiple of i(-9) and k.
160
Calculate the common denominator of 1 - -11 - (-1785)/(-156) and -83/104.
104
Suppose 3*d + 17 = 92. Suppose -n + 4*n = 4*x - 19, d = -5*n. Suppose 3*m - x = 5. Calculate the least common multiple of 4 and m.
4
Let d be (-4 - -7) + (1 - -8). Calculate the lowest common multiple of 9 and (-6 - (-9)/3) + d.
9
Let j = -50 + 146. Suppose -j = -13*h + 10*h. Calculate the smallest common multiple of 6 and h.
96
Let u = -3715 - -66811/18. Suppose 4*r - 42 = -34. What is the common denominator of u and (1 + 30/(-9))/(r/3)?
18
Let v(f) = -f**3 - 10*f**2 - 13*f - 12. Let z be v(-8). Let g = 56 + z. Let y = 784 + -780. Calculate the smallest common multiple of y and g.
20
Let c(f) = -f**3 - f**2 + 5*f + 2. Let t(n) = -n**3 - 4*n**2 - n - 23. What is the lowest common multiple of t(-6) and c(-3)?
55
Let c(q) = 2*q**3 - 10*q**2 + 5*q - 21. Calculate the lowest common multiple of 170 and c(5).
340
Suppose -8 = 5*m + 17, b + 4*m + 16 = 0. Let q = -476 - -826. Calculate the least common multiple of b/26 + q/91 and 22.
44
Let o be (-25)/(-3) + 3/(-9). Let h = 2/3835 - -145708/42185. Find the common denominator of h and o/(-9) - (2 - 1).
99
Let r be 0/(2/((-4)/4)). Suppose 4*b = -3*o + 6 + 6, -4*o - 5*b + 17 = r. What is the least common multiple of 10 and o?
40
Let v be (0 - 0) + (-3 + 1)/1. Calculate the common denominator of v*(-6)/(-4) - 28/(-3) and -44/3.
3
Suppose -8*w + 4*w = 2*j - 308, -j = 2. Calculate the least common multiple of 72 and w.
936
Let w be (((-32)/6)/(-4))/(14/(-21)). What is the common denominator of -4*w/160*61 and -11/10?
20
Let s(g) = 2*g + 17. Let j be s(-8). Let c = -1251 - -22537/18. What is the common denominator of c and (-17 - ((-3)/1 + j))/(-4)?
36
Let r = 188 + -98. Calculate the lowest common multiple of r and 45.
90
What is the common denominator of (258*(-5)/500)/(27/12) and -71/35?
525
Let t be -10*(1 - 44/(-8)). Let g = t - -86. What is the smallest common multiple of 24 and g?
168
Let p(s) = 2*s - 2. Let f be p(-7). What is the common denominator of (6/25)/(f/(-180)) and 0 + 138/(-8) + 3?
20
Let d = 126/5 - 347/10. Let f = -40408 + 402351/10. Let n = f + 172. What is the common denominator of d and n?
10
Suppose -4*m + 4*t = 12, 18 = 5*m + t + 3. Suppose -5*h + 120 = -5*w, 3*w - 4*w = 3*h - 64. What is the smallest common multiple of m and h?
22
Let n(b) = -7*b. Let y be n(4). Find the common denominator of -29/8 and 38/y - (-27 + 25).
56
Let m = -38527/6 + 6404. Let j be (-20056)/(-6)*((-44)/(-56) + -1). Let f = j - -719. Calculate the common denominator of m and f.
42
Suppose -3*b - 2*d - d = -39, 2*b = 5*d + 61. Calculate the least common multiple of (b/(-8))/((-6)/24) and 11.
99
Suppose -4*d + 36 - 12 = 0. Suppose -48 + 26 = -a + 2*g, 5*a - 40 = -4*g. What is the smallest common multiple of d and a?
12
Let n = -31 + 37. What is the lowest common multiple of 3/6*30 + -4 and n?
66
Suppose 4*c = 20, 2*n + 4 - 11 = c. Calculate the least common multiple of n and 84.
84
Let w(f) = 5*f**2 - 26*f - 57. What is the least common multiple of 14 and w(-7)?
2590
Let r = -78 + 77. Find the common denominator of -40 and r/((-4)/(-6))*184/36.
3
Let r be (6/7)/((-48)/800). Let z = r + 914/63. What is the common denominator of -59/8 and z?
72
Let n(r) = 13*r**2 - 5*r - 4. Suppose 0 = -3*a - 27 + 24. What is the smallest common multiple of 14 and n(a)?
14
Suppose -3*o + 69 = -4*l + 5*l, -4*o + 97 = 3*l. Suppose -2*b + y 