12
Let g = -37818 - -2949733/78. Find the common denominator of g and -7/234.
234
Suppose -4*h + 4934 = 52910. Let c = h - -431683/36. Calculate the common denominator of 57/34 and c.
612
Let a be 18/24 - (-914581)/(-36). Let n = -25412 - a. What is the common denominator of -50/51 and n?
306
Suppose 15 = p - 3*l, 2*p = 83*l - 78*l + 26. What is the least common multiple of p and 2979?
2979
Let i(u) = u**3 - 28*u**2 + 47*u - 420. Calculate the least common multiple of i(27) and 6.
120
Suppose -j = -10*j + 36. What is the common denominator of (-1)/(-1) - 126/91 and 119/(-63)*j/2?
117
Let q = 908/33 + -19673/693. Calculate the common denominator of ((-2)/6)/(45/50) and q.
189
Let h = -71121/2380 - -521/17. Let z = -825 + 476. Let d = z + 2123/6. Find the common denominator of d and h.
420
Suppose -51 = 3*w - 150. Let u = w - 34. Let n = 6 + u. Calculate the least common multiple of n and 3.
15
Let g = 299527/2736090 - -2/39087. Find the common denominator of g and 79/28.
420
Let b be (-22*22 + -4)*(-380)/(-8). Let d = b + 648967/28. Calculate the common denominator of d and 29/24.
168
Let u be (-2 + 6)/(3/3). What is the least common multiple of 106 and -18*((-1)/u)/(378/336)?
212
Let x(h) = 36*h**3 - 7*h**2 + 3*h + 4. What is the smallest common multiple of 882 and x(1)?
1764
Let b be (203 - (-2 - 3)) + 6. What is the common denominator of 49/147*b/8 and 0 - 2 - 76/32?
24
Let r = 1672388/117 - 14294. Calculate the common denominator of 45/41 and r.
4797
Let c = -8/1617 + 8066/105105. Let b = -1237/390 + c. What is the common denominator of b and (-1)/10 + 35344/(-1410)?
30
Let c = -474283/467928 + -2/6499. What is the common denominator of -77/108 and c?
216
Let j(c) be the first derivative of c**3/3 - c**2/2 - 6*c + 1. Let n be j(-3). Suppose 3*r - 12 = n. Calculate the lowest common multiple of r and 7.
42
Let y be (-4428)/(-2215) - (0 + 12/6). Let l = -276803/79740 + y. Find the common denominator of (-70)/(-72)*-2 + -2 and l.
36
Let v = 258403 - 23256623/90. Let p = v - 9/5. Find the common denominator of p and 59/15.
90
Suppose 0 = 6*b - 3*b - 2*h - 8, 3*b - 5*h - 11 = 0. Let t(m) = -716*m - 682. Calculate the smallest common multiple of t(-1) and b.
34
Let k = -9735 - -38963/4. Find the common denominator of -121/100 and k.
100
Let h = 8685517/126049616 + 9/102313. Find the common denominator of -111/616 and h.
1232
Let a = -219923/2142 - -719/7. Find the common denominator of 35/24 and a.
1224
Let s(v) be the second derivative of -v**3/2 + 45*v**2/2 - 47*v - 1. Calculate the smallest common multiple of 30 and s(14).
30
Let y(i) = i**3 - 6*i**2 + 2*i - 5. Let g = -25 + 31. Let r be y(g). Let c = r - -1. Calculate the lowest common multiple of c and 1.
8
Let r = 278 + -134. What is the smallest common multiple of r and 512?
4608
Suppose 3*z = -z + 3*i - 44, -52 = 4*z - 5*i. Let a = -1/2481 - 230731/4962. What is the common denominator of a and -2 + 1 + 67/z?
8
Suppose -10*h - 62 = -13*h + 2*n, -h + 10 = 2*n. Suppose 3*y - 41 = 7. Calculate the smallest common multiple of y and h + (-7 - -13 - 8).
16
Let r(b) = 52*b**3 - b**2 - b. Let f be r(1). Suppose 52*i - f*i = 252. Let l(y) = -22*y + 124. Calculate the lowest common multiple of l(5) and i.
126
Let q = -72316 - -291423/4. Let b = q - 21499/40. Calculate the common denominator of -47/128 and b.
640
Let g(t) = 6*t**2 - 16*t - 12. Let v be g(-3). Calculate the common denominator of ((-19)/(-84))/((-9)/v) and 62/9.
126
Let p(y) = 4*y**3 + 106*y**2 - 55*y - 21. Let i(n) = 10*n**3 - n**2 - n + 1. What is the lowest common multiple of p(-27) and i(1)?
18
Let n = 3595 + -275. What is the smallest common multiple of n and 18?
29880
Let y be (-3)/((-1)/(-5416)*-6). Let g = -18987/7 + y. Calculate the common denominator of 150/9*6/(-14) and g.
7
Let d be (-216)/(-24) + (-10)/2. Suppose 6*q - 60 = -d*q. Calculate the smallest common multiple of q and 27.
54
Let u(z) = -z**3 + 23*z**2 - 47*z - 303. Calculate the least common multiple of 63 and u(15).
5544
Calculate the smallest common multiple of (5 - 1)*(104/(-8) + 17) + 4 and 1140.
1140
Let g = -630 - -650. Suppose -8*p + 40 = -6*p + 4*k, 3*k - 100 = -4*p. What is the lowest common multiple of p and g?
140
Let c = 1977/4 + -983/2. Calculate the common denominator of 69/896 and c.
896
Suppose -8 + 0 = -b + 88. What is the smallest common multiple of b and 30?
480
Suppose -20 = -72*s + 67*s. Find the common denominator of -83/132 and (s/(-90))/(3 + (-3810)/1278).
660
Let w = -19763 + 1126411/57. Find the common denominator of 151/132 and w.
2508
Suppose -19*s - 15 - 4 = 0. Let k(y) = -6*y**3 + y**2 + 4*y + 3. What is the smallest common multiple of 6 and k(s)?
6
Let s(c) = -23*c**2 - 1389*c - 40. Calculate the least common multiple of s(-59) and 22.
1848
Let w = -1/92180 + -282119/16799805. Find the common denominator of w and -95/12.
2916
Let r be 4 + (-4)/2 + 795. Let d = r - 791. Let g = -17 - -25. What is the least common multiple of g and d?
24
Let h(w) = 72*w - 30. Let o be h(8). Let z = -460 + o. Calculate the least common multiple of z and 11.
946
Suppose 2*j - 4 = j. What is the lowest common multiple of j and (9/(-2) + -1)*(-25)/(175/14)?
44
Let u(m) = -225*m**3 + 19*m**2 + 16*m - 26. What is the smallest common multiple of 6060 and u(-2)?
18180
Let t = -684 + 686. Calculate the smallest common multiple of (8/(-12))/(t/(-171)) and 3.
57
Let y be ((-116)/585)/(2/24). Let w be 5 + (-335)/65 + (-2)/(-10). Let q = y + w. Find the common denominator of -59/4 and q.
12
Let p be 15540/23315 + 5/(-15)*2. Let o = 158548/41967 + p. Let c = -1373 + 8359/6. What is the common denominator of o and c?
18
Suppose 19*r - 13*r = 228. Let b be 5 + -1 + (r - -1). Let w = 89 - b. What is the least common multiple of w and 10?
230
Let a = 12290 + -245871/20. Find the common denominator of -7/360 and a.
360
What is the smallest common multiple of 4 and (-1*(-10)/(10/(-3)))/(3/(-2822))?
5644
Suppose -4*f = f + 25, -4*r + 4*f - 8 = 0. What is the common denominator of (0 - 49/2)/10 and 11*(7/10)/r?
20
Suppose c + 7*b = 2*b - 7, -c - 4*b - 5 = 0. What is the common denominator of c*(-6 + 535/90) and 81/38?
114
Suppose -6*c - 7 = -7*c. Suppose -c*l = -6*l - 27. What is the least common multiple of l and 27?
27
Let c(l) = -208*l + 2279. What is the least common multiple of 826 and c(5)?
2478
Let t = 295 - 313. Find the common denominator of (18252/320)/9 - t/(-45) and (2/(-30))/(20/201).
400
Let k be (-8)/(1 + 10/(-12)). Let v = -285755/33 - -8657. Calculate the common denominator of ((-134)/(-24))/(32/k) and v.
264
Suppose 5*f = -39806 - 619. What is the common denominator of -76/15 and 8260/f - 2/(-14)?
165
Let m(q) = -3827*q - 12638. Calculate the least common multiple of m(-4) and 14.
18690
Let m be (-3 + -15 + 10)/((-1)/(-1)). What is the common denominator of 47/39 and (522/144)/((-6)/m)?
78
Calculate the lowest common multiple of 6/((-3)/(-831)*3) and 18.
4986
Let u(j) = 9*j - 26*j + 9*j - 17 + 13*j. Let c be u(5). Calculate the common denominator of -123/10 and 38 + c + -4 + 0.
10
Let x(t) = 2*t**2 - 51*t + 196. Calculate the lowest common multiple of 1617 and x(4).
12936
Let b(m) = 2252*m**3 + 5*m**2 - m - 7. Let x be b(-2). Let h = 1728115/96 + x. Calculate the common denominator of -145/18 and h.
288
Suppose 5*o = -3*s - 31, -5*s + 4*o - 15 = 5*o. Let b be ((-6)/9)/(s/243). Suppose 21*l = 24*l - b. What is the least common multiple of l and 33?
297
Let t = -3165069/2585 + 6122/5. Find the common denominator of t and 20/141.
1551
Let a = 3/961 - -119/577561. Let o = -21047/3606 + a. Find the common denominator of 2/231 and o.
462
What is the common denominator of -157/966 and ((-10)/(-45) - 14/(-180))*(-282)/18?
4830
Let n be (0/((-25)/(-5)))/(-2). Let f = 6 + n. Suppose f*p - 9*p = -21. What is the smallest common multiple of 8 and p?
56
Let u = -3282 - -3423. What is the smallest common multiple of 186 and u?
8742
Let m = -269 + 255. Find the common denominator of (-6)/m + 6305/(-3850) and -7/90.
990
Let l(k) be the third derivative of -k**4/12 + 11*k**3/6 - 73*k**2. What is the least common multiple of 12 and l(4)?
12
Let h be (55/(-35) + 2)/((-1)/(-7)). Calculate the common denominator of 2 + (9/8)/h and -49/8.
8
Suppose 0*g = 3*g + 18. What is 