+ 52 = -y. Calculate the smallest common multiple of y and ((-4)/(3 + -4) - 4) + 6.
54
Let k(z) be the second derivative of -11*z**3/3 - 11*z**2/2 - 8*z. Let q be k(-2). Calculate the least common multiple of 18 and -3 + q - 2/((-2)/3).
198
Let q be 6 + 9/(-3)*(-2)/(-3). Let g = 28709/10 + -2863. Find the common denominator of (-48)/(q/(-12)*3) and g.
10
Let b be (10382/(-37362))/(-20 - -21). Let m = b + -2/479. Find the common denominator of m and -1/4.
156
Suppose 0 = -3*t - 6, 4*b - 26 = 7*t - 2*t. Find the common denominator of b/22 - (-66900)/(-1320) and 2/10*(-158)/8.
20
Let n = -247289658 - -8901591803/36. Let y = 23223 + n. What is the common denominator of 79/48 and y?
144
Let u = -483493/61985 + 2/12397. What is the common denominator of u and 28/1395?
1395
Let s(r) = -r**2 + 12*r - 15. Let y be 4/(-1) + (-10 - -13). Let h = y + 9. What is the lowest common multiple of h and s(9)?
24
Suppose 0 = -66*m + 55*m + 616. Calculate the least common multiple of m and 14.
56
Suppose 2*c = -5*p - 3 + 12, -c + 2*p = 0. Suppose -c*h - 2*h - 8 = 0, -2*h = 2*w - 56. Suppose 0*y - w = -3*y. Calculate the least common multiple of y and 18.
90
Let n = 5/11 + -145/77. What is the common denominator of -37/268 and n?
1876
Let s = -1/78 + 7/208. Let o = -103819/126 + 7436/9. Find the common denominator of s and o.
336
Let r(b) = 3*b**2 - 123*b - 526. Let v = 9 + 5. Suppose 0*o = o - v. Calculate the smallest common multiple of o and r(45).
14
Suppose -51*z + 108*z = -147*z + 65280. What is the lowest common multiple of z and 1920?
1920
Suppose 4*i = 5*m - 2729, 2*i - 2049 = -3*m - 394. Calculate the least common multiple of 15 and m.
2745
Suppose 5*v - 1676 = v. Suppose -2*i = -i + 3*j + v, -3*j = -3*i - 1245. Calculate the common denominator of 2872/i + (-4)/(-26) and 85/76.
76
Let o = -3569 + 3638. What is the smallest common multiple of 138 and o?
138
Let s be (6/(-16))/(2 - (-1768)/39). Let v = s + 46053/5680. Find the common denominator of v and 89/60.
60
Suppose 138 = 4969*f - 4946*f. Calculate the smallest common multiple of 217 and f.
1302
Let d = 30 + -28. Suppose -2*s + 2 = -0*s, 3*z + d = -4*s. What is the common denominator of (-1)/((-1)/z) + 365/(-70) and 61/3?
42
Let q = 66879 - 30496927/456. What is the common denominator of q and 121/1520?
4560
Suppose i + 66 - 976 = -5*p, -4*p = i - 910. Calculate the lowest common multiple of 546 and i.
2730
Suppose -50 = -3*f + 7*y + 131, 4*y = 2*f - 124. What is the smallest common multiple of f and 936?
936
Suppose 3*h - 9*h + 72 = 0. What is the least common multiple of (-1)/(3*(-9)/1296) and h?
48
Suppose y + 10*y - 22 = 0. Find the common denominator of (-89)/2 + y + 1 + -2 and 4*1 - 2635/272.
16
Let o = -46/127 - -6337/1016. Calculate the common denominator of o and -59/356.
712
Let o = -894384/37 - -24176. Let a be (-42)/(-4662)*(-49311)/(-105). Let l = a - o. Find the common denominator of -89/8 and l.
280
Let k be ((-192472)/3820)/7 + 7. Let d = k - -195447/886240. What is the common denominator of d and -51/10?
4640
Let q(s) = -1893*s + 1. Let k be q(1). Let b = k + 51122/27. Calculate the common denominator of b and (15/12)/(37170/(-76464)).
189
Let m = 13 + -22. Let s = m + 21. What is the least common multiple of s and (-1 - (-1204)/52) + (-4)/26?
132
Let x = 710/29 + -4373/348. Suppose -6*i = -4*j - 2*i + 2308, 0 = -j + 2*i + 582. What is the common denominator of x and j/8*(-3)/9?
12
Calculate the common denominator of (135/(-1350))/(4*16/146) and -103/720.
2880
Suppose 30*y + 28 = 34*y. What is the smallest common multiple of 14*(-1 - (-45)/10) and y?
49
Let p = 50153/35490 - -4/3549. What is the common denominator of 127/350 and p?
350
Let j = 16695 + -100307/6. Let d = 6761/6468 + -35/33. Let u = d - 641/2940. Calculate the common denominator of j and u.
30
Let f = -5711 - -188437/33. Calculate the common denominator of f and ((-2)/(-5))/((-108)/(-1635)).
198
What is the smallest common multiple of 48/(-36)*(-9)/2 and ((-18)/45)/(2/(-140))?
84
Let x(s) = 2*s**3 - 294*s**2 + 26*s + 1266. What is the least common multiple of x(147) and 3180?
25440
What is the lowest common multiple of (15300/(-525))/((-600)/(-301) - 2) and 136?
17544
Suppose 0 = -2*a - 5 - 7. Find the common denominator of 0/(-4) + 5/a and -11 + -4*(4606/(-105))/14.
30
Let h = 1647/8 - 4663/24. Calculate the common denominator of 17/42 and h.
84
Suppose r = -3*j - 2*j - 583, j + 2*r + 122 = 0. Let x = -118 - j. Calculate the lowest common multiple of 24 and (84/9*x)/(6/(-9)).
168
Let n = -51065/66 + 1547/2. Let t = -310701773/735 + 422723. Let c = 5/147 + t. Calculate the common denominator of n and c.
165
What is the common denominator of 21*(322/(-1260))/(-1) and 67/939?
9390
Let f = 8405/2 - 4171. Calculate the common denominator of -101/2330 and f.
2330
Let v = -5717/20515 + 9/373. Find the common denominator of v and 3665/900 - 7/(252/8).
220
Let o = 4 + 16. Let r(z) = -53 - 6*z + 63 + 72 + z**2 + 29*z. Calculate the lowest common multiple of r(-20) and o.
220
What is the common denominator of -29/288 and (-2)/(-72)*(-4114)/272?
288
Suppose 4*k + 3*k - 7658 = 0. Let v = k - 746. Calculate the least common multiple of 22 and v.
3828
Let x = 445 - 1027. Let y be 8/(-6) + x/(-36)*2. Suppose -y*p = -26*p - 20. Calculate the least common multiple of p and 64.
64
Let i = -3240077/76 - -42632. What is the common denominator of (-210)/(-36)*(-21)/(-15) and i?
228
Let l = -1282439/364 - -3523. Find the common denominator of 11/9 and l.
3276
Let s = -1776143/36 + 49334. What is the common denominator of s and 95/204?
612
Suppose 14*r - 66 = 3*r. Let d(o) = 23*o - 137. Suppose 0*w - 257 = -4*p + 3*w, -p + w + 65 = 0. Calculate the smallest common multiple of d(r) and p.
62
Let r be (-1 + 0)*(-4)/1. Suppose 2*k + 9*k = 2255. Suppose -r*t = 3*g - 44 - 44, 5*t + k = 5*g. What is the common denominator of -9/7 and g?
7
Let k = 10376/13 - 806. Let l = 2459/156 + k. What is the common denominator of l and (-2)/(-9) + 161/18?
12
Let n(g) = -50 + 4*g + g**2 - 4*g**3 + 50 + 2*g**2. What is the smallest common multiple of n(-1) and 466/14 - (-2)/(-7)?
33
Suppose 2*y + 3*c - 6*c - 23 = 0, -5*c + 95 = 5*y. Let q = 48 + -30. Calculate the lowest common multiple of y and q.
144
Calculate the common denominator of (-5 - 1 - 0) + 1026630/178024 and -101/18.
4284
Let b = 33906 + 6067. Let h = 157213811/3933 - b. Let a = h - 62495/7866. What is the common denominator of a and 21/4?
36
Let r(i) = i**2 - 6. Let q be r(-3). Suppose 0 = q*p + 8 + 1. Find the common denominator of 27/2 and -3 - (-91)/p*6/(-8).
4
Suppose 5*y + 15 = 0, -5*c - 5*y - 1 = -26. Let v = -89 - -25. Let b = -61 - v. What is the lowest common multiple of c and b?
24
Suppose -3907 - 4925 = -46*s. What is the least common multiple of s and (1/(-2))/((-5)/20)?
192
Let l = -1531 - -12255/8. Find the common denominator of 67/13768 and l.
13768
Let g = 86881829/1170 + -74258. Find the common denominator of g and -65/66.
12870
Find the common denominator of (-2 - 6085/1900) + 22/418 and 169/720.
720
Let q be (-6)/8 - (-133)/28. Suppose 5*h = 4*h - n + 7, 4*n = -5*h + 30. What is the common denominator of h/q + (-412)/16 and 21/46?
92
Let o(u) = u**3 + 14*u**2 - 52*u - 7. What is the smallest common multiple of 565 and o(-17)?
1130
Suppose 63 = -16*o + 19*o. What is the smallest common multiple of 3*((1 - -2) + o/9) and 44?
176
Suppose -3*q - 9 = 3*o, -4*o - 3*q - 5 = 2. Let r(n) = -8*n + 4*n**2 + 0*n**2 + 7 - n**3 + 6*n**2. What is the lowest common multiple of r(9) and o?
16
Suppose -20 = 4*z - 36. Suppose -12 = -s + t, -17 = z*s - 2*t - 65. Suppose -2*a - k = -0 - 1, a = -3*k - s. What is the least common multiple of 4 and a?
12
Calculate the common denominator of 101/1782 and ((-315)/10692)/((-8)/64).
1782
Suppose 30*z - 37761 - 11919 = 0. Calculate the least common multiple of 3864 and z.
11592
Let w = 68848/9 + -7654. Calculate the common denominator of w and -8/471.
1413
Let s(v) = -3*v**3 - 40*v**2 - 32*v - 117. Calculate the lowest common multiple of s(-13) and 225.
5850
Let i(u) = u. Let p be i(-3). Let q be -6 - (2 + p - 3). What is the lowest common multiple of -2 + q/(-2) + 4 and 3?
3
Let h = 23125 - 809428/35. What is the common denominator of h and (0 - 573/(-14