4*f + 12. What is the least common multiple of g(z) and 30?
240
Suppose 0 = -3*i + 4*m + 239, -2*i + 3*i - 2*m = 77. Let r = i - 51. Find the common denominator of 12/5 and (-6)/(-2) - 166/r.
85
Let k be (-3)/(-21)*7 - (-30378)/20. Let h = k + -1530. Let s = 1/6 - -28/3. Calculate the common denominator of h and s.
10
Suppose 0 = 30*p - 31*p - 536. Let q = p - -3205/6. Calculate the common denominator of q and (-17)/68 + (-574)/72.
18
Let l = -2/19293 + -726671/308688. Suppose 5 = -q - n, -2*q = -0*q + n + 11. Calculate the common denominator of 4/q + (-445)/120 + 3 and l.
48
Let t be -3 + (-1231405)/(-485) - 6. Let w = -2530 + t. Find the common denominator of 145/6 and w.
582
Suppose -3*q + 7*q + 3*y + 118 = 0, -2*q - 68 = -3*y. Suppose 16*w - 560 = 24*w. Find the common denominator of 0 - w/(-8)*8/22 and q.
11
Suppose -6*a - 363 + 351 = 0. Find the common denominator of 339/30 + (-1 - 1) and (306/1394)/(a/(-2)).
410
Calculate the common denominator of 141/1120 and (-14 - 4082/(-286)) + 1907/(-3080).
1120
Let v be -1*2 + 1 + 4/(-4). Let r = 43297/5020 - -1/10040. Find the common denominator of r and (v - 95/630) + 6/27.
56
Suppose q = 11*q + 1060. Let p = q + 110. Calculate the smallest common multiple of (-1)/3*0 + 2 and p.
4
Suppose -f - 3*g = -2*g, -3*f + 3*g = -18. Suppose 7*a = 10 - 24. What is the lowest common multiple of f and (a + 204/42)*7/2?
30
Let h = 113 - 103. Let i(j) = j**2 + 10 + 2 - 1 - 11*j + h. What is the smallest common multiple of 2 and i(10)?
22
Calculate the least common multiple of 244/(-549) + 4108/9 and 76.
456
Let i(n) = -11*n - 121. Suppose 5*m - 6 = 24. What is the smallest common multiple of i(-17) and m?
66
What is the common denominator of 19/1078 and 17711/3916 + 22/(-8)?
1078
What is the common denominator of -26/7 and (-5253)/(-374)*4/(-192)?
2464
Let m = -6791/101844 - 28/5535. What is the common denominator of -119/920 and m?
920
Let j(o) = 7*o - 39. Let i be j(7). Let a be i - ((-4)/(-2) + (-2)/(-1)). Suppose r = a*r - 45. Calculate the smallest common multiple of r and 3.
9
Let r be (376/20)/((-84816)/73310). Let g = r - 2/5301. What is the common denominator of g and -157/30?
60
Let b(z) = -635*z + 7019. Calculate the smallest common multiple of 7 and b(11).
238
Let w(a) = -a**3 - 28*a**2 + 30*a + 12. Let s be w(-29). Let g = -49 - -140/3. Calculate the common denominator of 10/(0 - 30) + s/(-33) and g.
33
Let n(o) = o**3 - 11*o**2 + 8*o + 23. Let b be n(10). Let c be (-8)/4*b/2*1. What is the common denominator of -71/6 and 4 - 249/30 - c?
30
Let r be -1 + ((-2)/9 - 2021/(-387)). What is the common denominator of r - (-344)/(-84) - 4280/2688 and 15*(-1)/(-22) + 2?
176
Suppose -7*t = -6*t + 4, 0 = m + 3*t + 10. Suppose -u + 423 + 471 = -3*b, 0 = m*b - 8. Find the common denominator of ((-3)/(-18))/(6/u) and 27/4.
12
Suppose 57324 - 7604 = 55*i. What is the smallest common multiple of i and 52?
11752
What is the common denominator of -60 - -54 - (-885)/108 and (4/(-72))/((-12)/(-568))?
108
Let y = 765 + -1338. Let m = -561 - y. What is the lowest common multiple of 9 and m?
36
Let a be (4 + -1)/((-45)/(-120)). Suppose 0 = -f - 5*b + 44, 2*b - a = 2. Suppose -d = -20*d + 190. Calculate the smallest common multiple of f and d.
190
Let a = 6414 + -6382. What is the least common multiple of a and 548?
4384
Let a(p) = p**2 - 42*p - 79. Calculate the smallest common multiple of 46 and a(44).
414
Suppose 4 = 2*u - 2*k, 3*k - 7 = -4*u + 1. Suppose -3*o + 28 + u = 0. Suppose 4*t - 47 = 9. What is the smallest common multiple of t and o?
70
Let s(p) = -2*p**3 - 7*p**2 - 10*p - 8. Calculate the least common multiple of s(-4) and ((-5)/1*1 - -6)*36.
144
Let a = 5673885/128 + -44328. Find the common denominator of a and 7/512.
512
Let m = 1949598559/3015 + -646633. Calculate the common denominator of -16/21 and m.
21105
Let s(w) = -135*w + 1083. Calculate the least common multiple of s(8) and 24.
24
Let m = -583471661964/2545 - -229261955. Let k = m + -9/1018. What is the common denominator of k and 89/12?
60
Let o be 2/(-18)*30/133. Let c = 5/19 + o. Find the common denominator of 7/14 + 3 + 65/(-6) and c.
21
Let x(t) = t**2 + t + 1. Let d(b) = -b**3 - 10*b**2 + 4*b + 2. Let n(o) = -d(o) + 2*x(o). What is the smallest common multiple of 28 and n(-12)?
168
Let j = -23251891924241/8681592421740 - 3073/242516130. Let m be (-2)/(-8 - 2)*(-120)/(-92052). Let h = j - m. What is the common denominator of h and -17/6?
84
Let m = -729478 - -2007523493/2752. What is the common denominator of m and 125/6?
8256
Find the common denominator of 26/(-12)*(164 - 174) and -125/4176.
4176
Suppose 2651 - 2693 = -2*j. Let i(b) = b**2 - b + 7. What is the lowest common multiple of i(8) and j?
63
Find the common denominator of -43/378 and (236/(-210))/((-3402)/(-90) - 13).
11718
Let d(o) = o + 1. Suppose -66*x = 2*l - 28*x - 35*x - 67, 0 = -3*x + 45. What is the lowest common multiple of d(5) and l?
66
What is the common denominator of 67/604 and -8*42/448 - (-5034)/6040?
3020
Suppose 44 - 20 = 6*t. Let r(o) = 21*o - 42. What is the lowest common multiple of 24 and r(t)?
168
What is the common denominator of ((-17)/(-4))/((-52)/(-104))*(-1)/(-125) and 17/100?
500
Let o = -11704 + 1334261/114. Calculate the common denominator of 59/969 and o.
1938
Let o(f) = -f**2 - 44*f - 433. Calculate the least common multiple of 65 and o(-26).
455
Let j = 59586448365665888/164901 - 361346798175. Let o = j - 3/4997. What is the common denominator of 12/11 and o?
33
Let g be 104000655/2538 + (-42)/(-189). Let l = g + -40977. Calculate the common denominator of l and 23/14.
658
Let x = 154 + -162. Find the common denominator of (34/(-51))/(x/(-57)) and 22/9.
36
Let p be (9/14 - 7/49)*12. Suppose -l = -s - 3*s + 16, 2*s = 4*l - p. Suppose -g - s*g = -54. Calculate the lowest common multiple of g and 4.
36
Let a = -50/509 + 50891/5090. Let b be 5/15*-31 + 2/6. Calculate the common denominator of (-1385)/225 - -5 - (-4)/b and a.
90
Let g(c) = -2*c**3 - c**2 + 3*c + 3. Let o be g(-1). Let v(f) = 5*f - 2. Let q be v(o). Find the common denominator of 19/68 and (75/(-40))/5*(-43)/q.
136
Suppose 18*o - 9*o - 378 = 0. Suppose -4*h = -3*l - 27, -o = -h - 4*h + l. Calculate the least common multiple of 14 and h.
126
What is the least common multiple of (735/(-140))/(3/(-48)) and 624?
4368
Let j = -123 - -128. Suppose -3*s + 4*a = -j*s + 92, 3*a = 3*s - 156. Calculate the least common multiple of s and 5.
50
What is the lowest common multiple of (2 + -1)/((95/240)/19) and 246?
1968
Let k = -48074791578053/15175 + 3168025803. Let o = k + -3/607. What is the common denominator of o and -1/25?
25
Let n = -9022 + 9070. What is the lowest common multiple of n and 1830?
14640
Let t = 5 + -12. Let m(f) = f**2 + 5*f. What is the smallest common multiple of m(t) and 28?
28
Find the common denominator of 21/190 and (-2*492/(-2128))/(-6).
2660
What is the least common multiple of 13 and ((-12)/16)/(37/(-5476))?
1443
Let n(u) = -51*u**3 + 8*u**2 - 10*u - 42. Calculate the lowest common multiple of 342 and n(-2).
3762
Let u = -56239/1890 + 1859/63. What is the common denominator of u and -61/1260?
3780
Let t = -2222 - -282192/127. Let c = 2963797327/1397 + -2121544. Let x = c - t. Calculate the common denominator of x and 46/13.
143
Let q = -55/26321 + 3432527/42955872. What is the common denominator of -131/204 and q?
1632
Let s be 3*49*24/36. Suppose s = 15*k - 8*k. Let u(r) = r**2 - 8*r + 2. Calculate the smallest common multiple of u(8) and k.
14
Let w = -1/1863 + 26704/1863. Find the common denominator of 35/8 and w.
24
Let i(h) = -h**3 + 21*h**2 + 2*h - 18. Let j be i(21). Suppose 4*d - j - 20 = 0. Calculate the smallest common multiple of d and (5/25)/((-2)/(-10)).
11
Let q = -1034149/115980 - 1/19330. Calculate the common denominator of 99/2576 and q.
7728
Suppose 0 = 23*n - 22*n + 10311. Let l = n - -835181/81. Let j = l + 667/810. Calculate the common denominator of j and -11/116.
580
Let u = 479/654 + 1/1090. Let r = -1412 + 64949/46. Let t = 41/276 + r. Find the common denominator of t and u.
60
Let b(f) = 5*f**2 + 35*f - 36. Let t be b(-8). Let z(d) = -28*d. Let p be z(4). Calculate the least common multiple of 45 and (-28)/p - (-23)/t.
90
Let l = 40854571/2