. Let p be 172/(-245) - 2/5. Let g = p + 439/49. Find the common denominator of k and g.
70
Let q = 3973/40 + -401/4. Find the common denominator of q and 7/4.
40
Let i be (-4)/24 - 95/(-30). Suppose -p + 2*p = 2*k - 15, -35 = -4*k - i*p. Calculate the smallest common multiple of k and 22.
88
Suppose 86*q = 81*q. Suppose 2*b - b + 3*w = 12, -w = q. Calculate the least common multiple of b and 2.
12
Suppose -k - 208 = -3*k. What is the lowest common multiple of k and ((-8)/(-2) + -1)*(-1900)/(-285)?
520
Suppose 11 = 3*y - 1. Suppose -2*l + 17 = y*b + 55, -2*l = 5*b + 43. What is the lowest common multiple of 40 and 10/((-3)/(3 + l))?
40
Let x(q) = 8*q - 10. Let z be x(-2). Find the common denominator of (2/(-4))/((-3 + 5)/z) and 19/7.
14
Let t = -4963 - -34686/7. What is the common denominator of -2 - (-66)/27*1 - 4 and t?
63
Let k = -2611/116 + -65/29. Find the common denominator of k and (-7)/77 + (24/77)/((-272)/(-2184)).
68
Let r = -87133/15 + 5805. Calculate the common denominator of -26/15 and r.
15
Find the common denominator of 2*215/(-180) + -2 and 11/12.
36
Let y be 40/(-14) + (-2)/14. Let r = y - -19. Let l = -64 + 84. Calculate the lowest common multiple of l and r.
80
Let k(h) = h - 16. Let o be k(3). What is the lowest common multiple of -1*((-1)/(-2))/(o/1040) and 20?
40
Let f(t) = t**3 + t**2 + 3*t - 392. Let w be f(0). Let a = -1991 - -15863/8. Find the common denominator of w/(-24) + ((-2)/(-4) - 1) and a.
24
Find the common denominator of (-31)/(-124) + 538/72 and -51/44.
396
Let h be 3 - ((-1110)/14 + (-2)/(-7)). Let t = 118 - h. Calculate the lowest common multiple of 32 and t.
288
Suppose 5*f - 2*t = -3328, 246 + 426 = -f + 2*t. Let y = f + 1367/2. Calculate the common denominator of y and -149/6.
6
Let b = -2650 - -5347. Suppose -1410 = -3*j + b. Let o = -16403/12 + j. Calculate the common denominator of 61/6 and o.
12
Suppose -177 = -3*i + 5*y, -2*y + 156 = -4*i + 7*i. Calculate the least common multiple of 63 and i.
378
Let j(x) = 4*x - 23. Calculate the least common multiple of 337 and j(7).
1685
Let i(o) = -o**3 + 7*o**2 + 7*o - 17. Let s be i(7). Suppose -s - 24 = -3*y - a, 4*y + a = 74. Calculate the lowest common multiple of 8 and y.
72
Let n = -7 + 9. Suppose -n*z + 14 = z + q, 4*q = z + 17. Suppose o - z*r = -o + 9, -r + 30 = 3*o. What is the smallest common multiple of o and 2?
18
Let q = -12449/8 - -1561. What is the common denominator of q and 2 + 1/(-4)*-106?
8
Let q(c) = c**3 - 3*c**2 + 4*c - 5. What is the smallest common multiple of (3 - 0)/((-6)/(-8)) and q(3)?
28
Calculate the least common multiple of 12 and (-2)/(-4) + (-1269)/(-54).
24
Let o(q) = q**2 - 7*q + 2. Let y be o(8). Suppose 19 = 5*g - 2*i, -y - 2 = -4*i. Calculate the lowest common multiple of (-1 - -4) + -5 + 7 and g.
5
Suppose 5*z + 480 = 4*r, 5*r - 375 = 4*z - 0*r. Calculate the common denominator of 27/8 and (-5)/(-6)*(-705)/z.
8
Suppose 22*n - 9504 = -0*n. What is the smallest common multiple of 384 and n?
3456
Let s(x) = 114*x - 876. What is the least common multiple of 77 and s(10)?
1848
Let f be (-222)/((-351)/138 + 3). Let z = -62287/126 - f. Calculate the common denominator of 195/42 - -1 - 1 and z.
126
Let h(l) = l**3 + 6*l**2 - l - 1. Let k = -6 - -12. Calculate the least common multiple of h(-6) and k.
30
Let l = -1433 - -28643/20. Find the common denominator of 51/145 and l.
580
Suppose 8*h = 194 + 158. What is the common denominator of 211/h - (5 - 19/4) and (-64)/(-7)*2/4?
77
Let l(q) = -9821*q + 4. Let k be l(-3). Let m = k - 13643212/463. Let y = m - -36433/7408. Calculate the common denominator of 63/22 and y.
176
Let c = 11 + -10. Let v(b) = -3*b - 1. Let g be v(c). Calculate the common denominator of 166/28 + 2/g and -33/5.
35
Calculate the common denominator of (-3)/270*12 - (-261)/70 and -97/112.
336
Let f = -292357823557/6247413 + 36075398/771. Let a = 25712 - 208344337/8103. Let j = f - a. Find the common denominator of j and 33/8.
72
Let n = -8140 + 268661/33. Calculate the common denominator of n and -62/195.
2145
Let z(l) = -l**3 - 3*l**2 + 9*l + 11. Let h be z(-6). Find the common denominator of (h/(-312))/((-1)/33) and -76/3.
24
What is the common denominator of -25/122 and -2 + (-1 - 1) + (-575)/(-80)?
976
Let o = 20 + -2. Suppose 0 = 3*d - k - 14, -d + 2*k - 5 = -18. What is the smallest common multiple of d and (o/(-21))/((-2)/14)?
6
Suppose -39*u + 312 = -36*u. What is the smallest common multiple of u and 32?
416
Suppose 18*k - 301 = -67. Calculate the common denominator of -49/8 and 123/60 - k/65.
40
What is the common denominator of 10 + (-2778)/(-1800) - 12 and -7/30?
300
Let d = -127997/33 - -3881. What is the common denominator of 61/18 and d?
198
Suppose 2*x - 1906 = 5332. Let a = 21563/6 - x. Find the common denominator of 1/6 and a.
6
Let w = -199687 - -38339993/192. Calculate the common denominator of 13/16 and w.
192
Let b = -372 + 234. What is the least common multiple of (b/(-161))/(2/14) and 6?
6
Let r = 555 - 249. Calculate the lowest common multiple of 10 and r.
1530
Calculate the common denominator of 62 + -57 - 409/108 and 5/378.
756
Let p(d) = d**3 - 11*d**2 + 9*d + 8. Let s be p(10). Let u be (3 - (s + 2)) + -2. Find the common denominator of 7/28 - (u - 11) and 52/11.
44
Suppose 0 = 4*z - 88 + 24. What is the least common multiple of (-6)/4*(-26)/91*14 and z?
48
Let a = 24 - 36. Let g = 8 - a. Calculate the smallest common multiple of 18 and g.
180
Suppose v - 3*x = 17 + 20, 4*v - x = 93. Suppose 0 = -u - 2*o + 12, -u + 44 = -4*o + 8. What is the least common multiple of v and u?
220
Let l be -1*(3 - (-9 + (-6)/(-2))). Calculate the smallest common multiple of 10 and (-12)/l + (-11)/(-3) + -3.
10
Suppose 5*n = -4*p + 21, 3*n = -2*p + 5*p - 36. Calculate the common denominator of 56/5 and 64/(-5) + p/2 + -4.
10
Let i = 604163/27026067 + 1/60461. Let m = 9506/1341 + i. Calculate the common denominator of m and -35/18.
18
Let l = 18/151 - 10297/1510. Calculate the common denominator of (-94)/20 + 2 + -2 and l.
10
Calculate the smallest common multiple of 69 and 15/(-20) + ((-33)/(-12))/1.
138
What is the common denominator of 84/40*124/56 and -47/14?
140
Calculate the lowest common multiple of 270/(14/(84/12)) and 18.
270
Let y = 111 - 108. Suppose 3*x + 4*j = 48, 2*x - j + 17 = y*x. Calculate the smallest common multiple of 20 and x.
20
Let t(y) = y**2 + 3*y - 27. Let s be t(-5). What is the common denominator of (s/(-108))/(18/(-54)) and -61/32?
288
Let l = 170 + -12. What is the least common multiple of l and 20?
1580
Let b(x) = 22*x**2 - x + 1. Let u be b(1). Suppose 4*v + 56 = 4*k, -5*v = k - 2*k + u. What is the lowest common multiple of k and (8 - -7) + (-4 - 1)?
60
Let t = 174 + -548. Calculate the common denominator of t/40 - 4/10 and ((-2)/12)/(2/(-152)).
12
Find the common denominator of 151/60 and (-6)/16*((-3266)/6)/(-23).
120
Let b be (-36)/(-45) - (-564)/(-5). What is the common denominator of -151/120 and 329/(-2)*16/b?
120
Let l = 105 + -2311/22. Let r = 6/26903 - 5703766/1479665. Let f = r + l. Find the common denominator of f and 23/12.
60
Let o = -5 + 13. Let x = -74 - -96. Calculate the lowest common multiple of x and o.
88
Let z(y) be the first derivative of -y**3/3 + 3*y**2/2 + 20*y + 10. Calculate the least common multiple of z(0) and 2.
20
Find the common denominator of ((-5)/5)/1 - 55/(-12) and -1/32.
96
Suppose 2*f - 5*f = 4677. Let g = f + 3215/2. Let k = -159/8 - -607/40. Find the common denominator of k and g.
10
Suppose 33*b - 962 = 20*b. Calculate the smallest common multiple of b and 6.
222
Let v = -34065 - -239311/7. Let n = 8763/70 - v. Calculate the common denominator of n and 109/10.
10
Let z(b) = -b**3 + b**2 - 1. Let a be z(2). Let q(k) = -k**2 - 4*k + 7. Let m be q(a). Calculate the smallest common multiple of ((-2)/(-1) + 34)/m and 6.
18
Let l be 10/10 + (-1 - -4). Suppose -l*f - 4 = -36. What is the least common multiple of f and 22?
88
Calculate the common denominator of 34/105 and (8 + 6)/(-28)*(-2)/(-30).
210
What is the common denominator of (-8)/(-36) + ((-4746)/1188 - -3) and 45/68?
748
Suppose -x = x - x. Calculate the common denominator of 19/5 and 2/5 - ((-1908)/80 + x).
20
Let v = -7152139052/3 + 23487624728039/9852. Let s = 2/2463 + 