and v(1).
20
Let a(v) = v**2 + 6*v + 2. Let k = 177 - 171. Calculate the smallest common multiple of k and a(-6).
6
Suppose -5*g = -4*r, -4*r = g + 3*g. Calculate the lowest common multiple of 15 and (-6 - -4)*(g + -10 + -2).
120
What is the common denominator of (-74)/(-16) + -15 + 12 and -145/1386?
5544
Suppose 221*l = 219*l + 78. What is the least common multiple of 39 and l?
39
Let p(b) = -2 + 291*b - 1 - 308*b. Let j be p(-1). Calculate the least common multiple of (-108)/(-42) + 6/j and 4.
12
Suppose 10 = 5*g - 4*c, c + 2*c = -3*g + 33. Suppose 0 = s - 8 - g. Let w = -1560 + 1566. Calculate the least common multiple of w and s.
42
Let c = -390 - -571. Suppose -6 = -c*k + 179*k. What is the smallest common multiple of k and 12?
12
Let a be (-1 - -5)*19/102. Let o = a + 2003/255. Find the common denominator of 6 - 4*(-1267)/(-168) and o.
30
Let c = 10249 - 102383/10. Suppose -4*w + 40047 = -11*w. Let h = w - -62985/11. Calculate the common denominator of h and c.
110
Suppose 6*i - 712 + 1774 = 0. Let s = 178 + i. What is the common denominator of s and 13/6 - 2/6?
6
Suppose 0 = -7*b + 4*b. Suppose -i + 3 + 7 = b. Calculate the lowest common multiple of i and 6.
30
Suppose 3*f = -2*f + 175. Suppose f = 5*p - 55. Suppose -a + 3*a = p. Calculate the least common multiple of 4 and a.
36
Let h = 143531/22 - 6528. Let l = -1319347/60 - -21987. Calculate the common denominator of l and h.
660
Suppose -5*l + 3*o + 501 = -0*l, 2*l - 5*o = 189. Calculate the lowest common multiple of 11 and l.
1122
Let x = -24066191/254 + 94749. Find the common denominator of x and 101/2.
254
Let x be (-464)/(-4)*6/12. Suppose -4*h + x - 14 = 0. Calculate the smallest common multiple of h and 7.
77
Let m = -1412/63 + -22/9. Let u = m - -578/21. Find the common denominator of -12/13 and u.
39
Let y(v) = -v**3 - 13*v**2 + 10*v - 34. Let s(f) = f**3 + 17*f**2 + 18*f + 18. Let a be s(-16). What is the lowest common multiple of y(a) and 22?
22
Let t = 432893/21 - 20610. Find the common denominator of -19/75 and t.
525
What is the common denominator of 17/183 and 55/66 + (-45)/20?
732
Suppose 5*b = 4*h - 188, 3*h - 4*b - 144 = -b. Calculate the smallest common multiple of 52 and h.
52
Let x(z) = -2*z + 38. Let d be x(7). Find the common denominator of (4/(-6))/(1*d/606) and -21/2.
6
Let q = 200801/21 - 9565. Find the common denominator of q and (5/(-135))/(1/(-159)).
63
Let o = 6/57155 - -116881003/9259110. Let w = o - -98/81. Let u = -2889 + 14392/5. Calculate the common denominator of u and w.
30
Let c(a) = 2*a**2 + 6*a - 10. What is the smallest common multiple of c(5) and 30?
210
Suppose 28*s = 31*s - b - 187, 4*s = 2*b + 246. What is the least common multiple of s and 56?
448
Suppose -72 = -17*d - d. Calculate the least common multiple of 9 and d.
36
Let c = -7389/2072 - -215/74. Let h = c + 3779/168. Let i = 13099 - 183279/14. What is the common denominator of i and h?
42
Find the common denominator of -1*2*87/120 and (31/(-44))/(44/44).
220
Let k(f) = -620*f + 2. Let x be k(-4). Let g = x + -9827/4. Let p = -2449/3 + 826. What is the common denominator of g and p?
12
Let v be 12290/(-4) + (-3)/6. Let s = -3791/4 + 929. What is the common denominator of s and v/70 + 4/10?
4
Find the common denominator of 41/33 and 1/((-75)/(-31)) + 108/270.
825
Let u(i) = -i**3 + 9*i**2 - 3*i + 15. Calculate the smallest common multiple of u(8) and 55.
55
Let k = 12 + 18. What is the lowest common multiple of 2/(-8) - 136/(-32) and k?
60
Let k be -22 + 4*3/6. Suppose 2*a - 29 = a. Let u = k + a. What is the smallest common multiple of u and 1?
9
Calculate the smallest common multiple of 8/(-16) - (-22)/4 - -13 and 12.
36
Suppose 0*j - 8 = -3*g + 4*j, 4*g = j + 28. Calculate the smallest common multiple of 1/(-1) - 8*-1 and g.
56
What is the common denominator of 13/123*(-5 + 2) and 480/(-27) + 54 + -41?
369
Suppose -86*n + 95*n = 18. Let v(s) = s**3 + s**2 + 66. Calculate the least common multiple of n and v(0).
66
Let x = 43 - 23. What is the least common multiple of 112 and x?
560
Let s be -1 + 4 - (-170)/(3 - 1). Suppose 0 = 11*i - s. What is the lowest common multiple of (-3)/(-6) + 14/4 and i?
8
Let y = 3 - 1. Let b = 14 + -12. What is the smallest common multiple of y and (-1)/b - (-84)/16*2?
10
Let p = -7335831/808 + 9079. Let t = -2853897763/404 + 7064108. Let i = t - p. What is the common denominator of 67/4 and i?
8
Suppose 30 = -7*d + 2*d. Suppose -3*a - 5*q + 2*q + 60 = 0, 3*a = 2*q + 40. Calculate the lowest common multiple of (-3)/d*2*4 and a.
16
Let a = -10/53 - -603/106. What is the common denominator of 164/(-32) + 1 - 2 and a?
8
Find the common denominator of 8 - (2/((-2080)/332) + 8) and -21/572.
2860
Suppose 2*h - 56 = -2*h + 5*c, -h + 14 = 4*c. Let t(i) = i**3 + 2*i**2 + 2*i + 5. Let r be t(-3). Let v = r + h. What is the least common multiple of 20 and v?
20
Let b = -771418/145 - -5320. Calculate the common denominator of -46/55 and b.
1595
Suppose 120 = 6*d - d. Let f = d - 12. What is the common denominator of 266/24 - (-9)/f and -13/48?
48
Let y = -8 - -10. Let u be (6 - -3) + 0/y. Let b = 21 - u. What is the lowest common multiple of 8 and b?
24
Suppose 0 = 1242*o - 1240*o - 22. Calculate the smallest common multiple of o and 375.
4125
Let s = 7 - 7. Suppose s = 3*y - y + 2. What is the common denominator of ((-172)/20)/((-1)/y) and -13/11?
55
Suppose 38*g + 24*g = 24552. Calculate the smallest common multiple of 18 and g.
396
Find the common denominator of 40/9 and (-18)/(-2) + (-1641)/162.
54
Suppose 4*q = 3*q - 14. Let a = -3 - q. What is the least common multiple of a and -10*5/((-50)/8)?
88
Let t(l) = -l**3 + 15*l**2 + l - 13. Suppose 45 + 21 = 3*o. What is the smallest common multiple of t(15) and o?
22
Let g = -3/13238 + -334246/59571. Let u be ((-5)/2230)/((-9)/(-17041)). Let i = u + -32/223. What is the common denominator of i and g?
18
Let s(b) = 15*b + 1. Let m be s(2). Let d = 33 - m. What is the smallest common multiple of 61 and d?
122
Suppose 16 = 2*r - 2. What is the smallest common multiple of r and (-11 + 0)*(-10 - -6)/4?
99
Let f = 29845/11046 - 3/263. Let w be (-4)/((-3)/(327/2)). Find the common denominator of w/36 - 4/(-18) and f.
126
Let b(m) = 111*m - 1. Let k be b(1). Suppose -2*u - 3*u = -k. Calculate the smallest common multiple of u and 3/9 - 46/(-6).
88
Let m = 263 - 181. Let v = m - 34. Let u = 6059/6 - 1015. Calculate the common denominator of v and u.
6
What is the common denominator of -17/6 and (((-5022)/2880)/(-31))/((-8)/35)?
768
Let t be (1/(-2))/(1/(-46)). Suppose 3*m + 3*w - 10 - t = 0, w - 5 = 0. Calculate the lowest common multiple of 4 and m.
12
Suppose -29 = i + 9*m - 4*m, -3*m + 15 = -3*i. Calculate the lowest common multiple of 3 and (10 + i)*1*5.
15
Let a be (-282)/16*(-4)/(-246). Let n = 2041/246 - a. Calculate the common denominator of n and 1/10.
60
Suppose 0*g + 11084 = -4*g. Let t = -22089/8 - g. Let b = 452163/20 + -22602. Find the common denominator of t and b.
40
Let q = 94/197 - 12885/5122. Let j be 8/(-20) + (-10693)/1944. Let a = -1/1944 - j. Calculate the common denominator of q and a.
130
Let c be 0*4/8 + 300028799. Let i = c - 5948670980167/19827. Let y = i - -2/2203. What is the common denominator of y and 29/8?
72
Suppose 10 + 2 = -2*m. Let p = 1223/610 + 18/61. Find the common denominator of p and (-4353)/(-90) + m/(-45).
10
Suppose 2*s + 10 = -2*l - 20, -3*s - 23 = l. Calculate the common denominator of -17/3 and (-62)/l + (-7)/((-49)/(-21)).
33
Find the common denominator of (-4)/(-42) + (-10585)/(-151032) and -67/40.
1240
Suppose -n = -17 - 107. Suppose -n = -4*o - 40. Let v = -14 + o. What is the least common multiple of 5 and v?
35
Let o(i) = i**3 + 4*i**2 - 11*i + 6. What is the lowest common multiple of o(2) and 52?
104
Let n = 21 + -19. What is the common denominator of n + 16/(-3) - (-4 - -7) and 55/4?
12
Let n = 433701/147632 - 2/9227. Calculate the common denominator of 97/14 and n.
112
Let s be (-8)/(-24) + 20/3. What is the common denominator of 11 and (-1)/s*7/(-30)?
30
Let i = -7719/572 + -3/572. Let h(p) = 9*p**3 - 2*p**2 - 6*p - 6. Let a be h(6). Let u = -9117/5 + a. Calculate the common denominator of u and i.
10
What is the common denominator of 62/5 and 0 - (1160/252 - 6