/7*(-220)/30 and (-6)/(-10) + 2527/(-560)*-2.
56
Let i(k) = -55*k + 25. Calculate the smallest common multiple of 35 and i(-1).
560
Let t be (-4*(-15)/(-14))/(135/(-30)). Let q = t - -593/105. What is the common denominator of q and 34/15?
15
Suppose 0 = 2*p - 3 - 5. Suppose 2*h + 5*x - 6 = 9, -p*x = -h + 1. Suppose 24 = 5*s - 2*u - 0*u, -4*s = h*u - 6. What is the lowest common multiple of s and 6?
12
Let i = -109194/7745 - -708010141/47275480. Let d be -1 - (2283/(-763))/3. Let k = i + d. What is the common denominator of 99/10 and k?
40
Suppose 0 = d + 4*i - 20, -3*i = 2*d - i - 46. Calculate the smallest common multiple of 53 and ((-42)/8*1)/((-18)/d).
371
Suppose 2*t + t - 729 = 0. Calculate the common denominator of 4/(120/t) - -3 and -39/5.
10
Let n(w) = 2254*w - 10. Let b be n(4). Let g = b - 108217/12. What is the common denominator of g and -41/14?
84
Suppose 9*c - 31 = 23. Calculate the lowest common multiple of c and 9.
18
Calculate the common denominator of 38/15 and (340/100)/(6/40).
15
Let u be (3/2)/((-7)/(-70)). Suppose 0 = -12*h + u*h - 9. Let o = h + 5. What is the smallest common multiple of o and 4?
8
Let w = -20 + 6. Let a(c) = -c - 12. Suppose 7 - 1 = n + 4*b, 3*b = -9. What is the lowest common multiple of n and a(w)?
18
Let m = -1/50 + -123/100. Let k = 2/7149 + 69095/42894. Calculate the common denominator of m and k.
36
Let v(p) = 2*p**3 - 46*p**2 - 46*p + 32. What is the smallest common multiple of v(24) and 5?
80
Suppose -5*p + 7 = 3*w + 21, 0 = 4*w + 4*p + 8. Suppose 8 = 4*l - 2*x - 28, 0 = -l + w*x + 3. What is the smallest common multiple of 7 and l?
77
Let c(m) = m**2 - m + 2. Let f = -2 + 11. Let h(l) = l**3 - 10*l**2 + 10*l - 11. Let y be h(f). Calculate the smallest common multiple of 16 and c(y).
16
Suppose 0 = -18*z + 12*z - 144. What is the common denominator of 99/(-121)*(-17)/3 and z?
11
Suppose 2*v - 144 = -2*a - 0*a, 0 = 4*v - 2*a - 288. Calculate the smallest common multiple of v and 240.
720
Suppose 16*q - 739 = -99. Let f(g) = -g**2 + 5*g + 4. Calculate the smallest common multiple of q and f(3).
40
Calculate the common denominator of -10 + 3/(2352/7966) and 60/581.
4648
Let b = -16 + 24. Suppose -18*x + 65 = -133. What is the lowest common multiple of b and x?
88
Let x = -1809/8 - -233. Find the common denominator of -53/35 and x.
280
Let k(c) = c**2. Let m(r) = -12*r**2 - 2*r - 4. Let d(x) = 10*k(x) + m(x). Calculate the common denominator of -55/7 and d(0).
7
Let v be (24/4)/(3/344). Let r = -326 + v. Calculate the lowest common multiple of r and 20.
3620
Find the common denominator of (12/18*-3)/(68/23) and (4/(-24))/((-2)/(-58)).
102
Let x(p) = 3*p + 36. Let b be x(-17). Let v = b + 20. Suppose 0 = -5*k - 9 + 44. What is the least common multiple of k and v?
35
Let d = -119 - -119. Suppose 11*n - n - 40 = d. Calculate the lowest common multiple of n and 5.
20
What is the least common multiple of ((-2)/1 + -5)*-1 and (279/155)/(15/25)?
21
Let j(b) = 0*b**2 + 4*b**2 - b**3 - 3*b + 3*b**2. Let c = 1017 - 1001. Calculate the smallest common multiple of j(6) and c.
144
Suppose 335*c + 5290 = 340*c. Calculate the smallest common multiple of c and 14.
7406
Let h(d) = 13*d**3 - 2*d**2 + 2*d - 1. Let n = -11 + 12. Calculate the least common multiple of (-124)/(-16) + (-1)/(-4) and h(n).
24
Find the common denominator of -127/36 and ((-2)/((-56)/(-791)))/(-10).
360
Let i = 4 - -9. Suppose -g - 3*l + i = 0, 6*l - 3*l = 5*g - 47. Suppose 2*u = 25 + 21. What is the smallest common multiple of g and u?
230
Suppose 3*o = -3*o + 72. What is the lowest common multiple of o and 156?
156
Let q = 3116/225 - 274/25. Let p = -86 + 57. Calculate the common denominator of (-1 + p)*6*5/240 and q.
36
Let y = 623303/22 + -28337. Calculate the common denominator of y and (2/20)/((-72)/6900).
132
Suppose 0 = 4*m + 5*c + 88, -12 = -c + 4*c. Let z = -28739 - -1494473/52. Calculate the common denominator of m and z.
52
Let q = -11 - -14. Calculate the least common multiple of ((-33)/(-9) - 3)*q and 8.
8
Find the common denominator of (245/63 + -4)/(-4) and 89/60.
180
Let n = -457 - -473. What is the smallest common multiple of n and 20?
80
Let v be (-100)/(-1) - (1 + 0). Let b be 1/7*-8*173/(-2). Let d = b - v. Calculate the common denominator of d and 81/2.
14
Let n = 4733 + -28333/6. Let a = -9297/4 + 2337. Calculate the common denominator of n and a.
12
Let i = -7244/303 - -15/202. Let x be 20/(-15) + 2/(-3). Find the common denominator of ((-71)/(-32))/(1/x) and i.
48
Let v = 5305/2 - 2622. What is the common denominator of (4/6)/((-104)/318) and v?
26
Suppose 2*s + 2 = 3*u - 2, 0 = -5*u. What is the common denominator of -59/14 and (-873)/12*s/(-3)?
14
Let b(z) = 8*z**2 + 7*z - 6. Let g be b(18). Let r be g + (0 - (3 - 4)). Let j = 48949/18 - r. Find the common denominator of j and -35/22.
198
Suppose -5*g + 13 + 139 = -3*u, 4*u = 5*g - 151. Suppose -5*b + 61 = -2*l, 0 = 9*l - 12*l - 9. What is the least common multiple of g and b?
341
Suppose 20*l - 1120 = -280. Suppose -2*d + 4 = 4*h, 5*d + 4*h = 2*h + l. What is the least common multiple of d and 10?
10
Let c be (-602)/12*(-16 + -4). Let h = c - 995. What is the common denominator of h and -2 + 126/(-15) - -2?
15
Let y = -14897/4 + 3745. Calculate the common denominator of y and -43/146.
292
Suppose -3*r - 6 = 0, -6*x = -x + 4*r + 8. Suppose 3*p + 3 = x, 0*i + 3*p = i - 6. What is the least common multiple of (-176)/(-33)*(-6)/(-4) and i?
24
Let r be (1329/6)/(2/36). Let p = 8/64111 + 3063800483/769332. Let i = r - p. What is the common denominator of i and -31/8?
24
Let a(c) = 2*c**2 - 19*c - 16. Let u(r) = 3*r**2 - 20*r - 15. Let l = 4 + 0. Let f(d) = l*a(d) - 3*u(d). Calculate the common denominator of 23/7 and f(-13).
7
Let g = 61321/18 + -3408. Find the common denominator of 133/6 and g.
18
Suppose -62*r + 88*r + 58 = 55*r. Calculate the common denominator of (-47)/123 + 2/(-3) and r.
41
Let l = -365 + 389. Calculate the smallest common multiple of l and 18.
72
Suppose 185 = -19*i + 33. Let j(d) = 2*d + 0*d + 4*d - 14 + d**2. What is the lowest common multiple of 22 and j(i)?
22
Suppose -3*u + 15 = 0, 3 + 2 = -5*i - 5*u. Let f be 18/i*10/6. Calculate the lowest common multiple of 18 and 8 + (0 - -3) + f.
18
Let w(r) = r**2 - 11*r - 13. Let x be w(13). Let c(v) be the first derivative of -v**2/2 + 19*v + 6. Calculate the least common multiple of c(x) and 4.
12
Let g = -11340 - -204221/18. What is the common denominator of g and -47/168?
504
Let n = 59 + -41. Let y(a) = -a**3 - 4*a**2 - 3*a + 2. Calculate the least common multiple of y(-3) and (-4)/n - 1456/(-72).
20
What is the common denominator of -7/6 and (10 - -3) + -9 - 70/11?
66
Let n(x) = -x + 5. Let a be 140/15 - (-6)/9. What is the smallest common multiple of n(-6) and (a/5)/((-4)/(-20))?
110
Let g(q) = q**2 + 17*q + 49. What is the least common multiple of 60 and g(-14)?
420
Calculate the common denominator of (-24)/96*108/46 and -53/8.
184
Suppose -227 = -5*t - 17. Find the common denominator of 50/27 and 4/18 + 11/((-99)/t).
27
Suppose 14 = -7*s + 392. What is the smallest common multiple of s and 7?
378
Calculate the common denominator of (-3)/6 - ((-660)/(-224))/(-3) and 47/42.
168
Calculate the smallest common multiple of (9/12)/(4/288) and 4.
108
Let g(n) = -23*n + 4. Let t be g(2). Let y = t - -56. Calculate the lowest common multiple of y and 2.
14
What is the common denominator of 73/3 and (-106)/180 + -3*(-18)/(-54)?
90
Let y = -3587/1070 - -27/107. Let c = -8649 - -821663/95. Let d = 1559/665 + c. What is the common denominator of y and d?
70
Let j = -7 - -4. Let v be -4 + (j + 4)*-2. Calculate the common denominator of 117/10 and (1/v)/(5/565).
30
Let p = -30 - -38. Calculate the lowest common multiple of 2 and 12/p*464/12.
58
Suppose -14 = p - 2*p - o, -2*o + 58 = 5*p. Calculate the common denominator of -91/20 and (p/(-32))/(1/(-68)).
20
Let f = 2819 - 2816. Calculate the lowest common multiple of 27 and f.
27
Let c = 17127/20 + -856. Find the common denominator of -103/10 and c.
20
Let w(o) = 5*o - 1. Let f be w(1). Suppose 4 = -4*d, 0 = 4*l + f*d + d - 19. Find the common denominator of (1/15)/(l/345) and -5/18.
18
Let q = -14797 - -7694437/520. What is the common denominator of q a