4
Suppose 65 = 8*x - 103. What is the least common multiple of 35 and x/(-84) - 41/(-4)?
70
Let n be (-5808)/1239 + -2 + 0. Let w = n + -10/59. Find the common denominator of w and 27/434.
434
Suppose -67 = -19*h + 28. Let o(a) = -a**3 + 8*a**2 - 10*a - 5. What is the least common multiple of o(h) and 16?
80
Let a = 11903/6 - 13277873/6693. Calculate the common denominator of a and -31/16.
35696
Let f(c) = -4*c - 25. Let v be f(-8). Suppose 0 = -3*d + r + 16, -8*r + 2 = -v*r. Let n(p) = 70*p**2. What is the lowest common multiple of n(-1) and d?
210
Let l = 222 + -237. What is the common denominator of (-5)/(-21) - ((-25)/l + -2) and (85/4)/(6/(-12))?
14
Let j = 2433791369/6827 + -356495. Let r = j + 129393/546160. What is the common denominator of 37/60 and r?
240
Let p = -5018/17 - -1368350/4641. What is the common denominator of p and 41/234?
1638
Let c = -24 + 30. Let q be c/(-4) - 40529/(-18). Let p = 2246 - q. Calculate the common denominator of 29/19 and p.
171
Calculate the common denominator of -17/8 and (-3626)/129500*34/(-56).
1000
Suppose 4120 = -6*v + 4264. Calculate the least common multiple of v and 1302.
5208
Let u = 51357/10 - 5125. Calculate the common denominator of u and 22/(-1463)*7 - (-1902)/380.
10
Let w(h) = -h**3 + h**2 + 19*h + 10. Calculate the least common multiple of 8 and w(5).
40
Let l be ((-1)/3 - 0)/(5/30). Find the common denominator of 86284/33440 - l/(-19) and -91/100.
200
Let u be (16444/408 - -4)/((-171)/(-12)). Let x = u - -2/969. Calculate the common denominator of x and 87/28.
252
What is the common denominator of 83/(-126) + 1230/(-105) + 12 and 89/2160?
15120
Let m be (-53644)/(-766)*(-3)/(-36). Let k be (11/12639)/(1/(-3)). Let b = k + m. Calculate the common denominator of b and -37/16.
48
Suppose 5*s - 18 = t + 5, 0 = 4*t - 5*s + 17. Suppose 511 - 43 = 3*r. Calculate the lowest common multiple of r and t.
156
Suppose -5*y + 905 = 5*n, 10*n - 11*n = -y - 179. What is the smallest common multiple of n and 390?
2340
Let g be (-7 - -6)/(2 - 517/258). Let u = g + -247. Calculate the least common multiple of u and 89.
979
Let o = 815047/6030 - 4057/30. What is the common denominator of 17/536 and o?
4824
What is the lowest common multiple of (-35)/(-1 + (-3)/(-6)) and (-13431)/(-2178) - 5/(-6)?
70
Let w = 18846 - 1319301/70. Calculate the common denominator of ((-1)/60)/((15/(-1490))/(-1)) and w.
630
Let a = 8157 - 5317. What is the lowest common multiple of 1420 and a?
2840
Let m be (-17)/(85/140)*(-2)/4. Suppose -3*s = -4*c - 125, 16*c = 4*s + m*c - 170. Calculate the least common multiple of s and 9.
387
Let k be (0 + -106)*(-15)/(-6). Find the common denominator of k/(-100)*4/(-6) and (-7)/(-84)*318/2.
60
Suppose 108 = -108*h + 105*h. Suppose -128 = -0*j + 4*j. Let w = j - h. Calculate the lowest common multiple of w and 23.
92
Suppose -129*j + 8 = w - 131*j, 15 = 5*j. Calculate the least common multiple of (-3)/((-9)/2)*15 and w.
70
Let g be (-6)/(-42) - 7640/(-28). What is the common denominator of g/(-27) - 1/((-1)/2) and 39/10?
90
Let s(l) = 2*l**2. Let k be s(-1). What is the common denominator of 2*k/(-80) - 6 and (-3)/279*1065/(-10)?
620
Let t = 433 + -11689/27. Let s = 47789309/964110 - 671/9182. Let j = -755/14 + s. Find the common denominator of t and j.
270
Let h = 6710 + -6606. Calculate the least common multiple of 182 and h.
728
Suppose 0 = 5*y - 9*y - 160. Let n = 34 - 29. Calculate the smallest common multiple of (-296)/y + 2/(-5) and n.
35
Calculate the common denominator of 5/(-825)*(-93)/(-2) and 25/(-2) + 600505/47751.
330
Let y = -4866 - -4941. Calculate the least common multiple of y and 6.
150
Let u = -132 - -98. Let x = -30 - u. Calculate the smallest common multiple of 21 and x.
84
Let c = 480 + -5753/12. What is the common denominator of c and -77/702?
1404
Suppose -950 = 11*n - 16*n + 5*d, -n = 5*d - 154. Calculate the least common multiple of n and 69.
552
Let u(h) be the second derivative of h**3/3 - 12*h**2 - 12*h. Let o be u(13). Suppose 5*d = o*d + 54. Calculate the least common multiple of d and 20.
180
Find the common denominator of -59/22 and (-46)/(-180)*7/4389*-11.
56430
Let q(s) = 6*s**2 + 29*s + 80. Let m be q(29). Let i = m - 65584/11. What is the common denominator of i and 53/104?
1144
Suppose 3*k - 5*k = 6*k. Let o(r) = -r**2 + 51. Let a be o(k). Let p = 185 - a. Calculate the smallest common multiple of p and 20.
1340
Calculate the lowest common multiple of 20 and (-51 + 3)/(9/(-102)).
2720
Suppose 5*h = -0*h - 5*o - 70, 34 = -3*h - 5*o. Let f be ((-4650)/h)/((-2)/10). Let x = -1281 - f. Calculate the common denominator of 161/30 and x.
30
Let j = 142 + -100. Suppose -5*d = 4*t - 56, -4*d - j = -3*t - 9*d. What is the least common multiple of t and 22?
154
Let a = -2/1615 - -221279/19380. Let n be (1*2)/(((-104)/216)/(-13)). Find the common denominator of a and (-299)/(-252) - 12/n.
84
Calculate the smallest common multiple of (-108)/297 - (-9920)/55 and 576.
2880
Suppose d = -3*p + 276, -328*d + 5*p - 1380 = -333*d. Calculate the least common multiple of 16 and d.
1104
Let r = 9 - -191. Calculate the lowest common multiple of r and 80.
400
What is the common denominator of (-3)/18*2*7029/1914 and -41/174?
174
Suppose -21*v + 44*v - 60885 = -32*v. Calculate the lowest common multiple of 2337 and v.
21033
Let w(s) = 3*s**2 + 5*s - 4. Let z be w(1). What is the common denominator of 2/3 and 4*z/(-24) - (-875)/345?
69
Suppose -63*k + 6100 = -58*k. Calculate the least common multiple of 3355 and k.
13420
Let v(o) = -o**3 + 2*o**2 - o - 8. Let q(f) = -f**2 - 2*f. Let a be q(-3). What is the lowest common multiple of 8 and v(a)?
40
Find the common denominator of (30/(-8))/((-3294)/4880) and -55/216.
216
Let y = -2121909719/168 - -12630592. Let c = y + -177. Calculate the common denominator of -125/24 and c.
168
Let b be (-1 - (-4)/6)*(-18249)/(-1364). Let u = -1543/4 - -47993/124. Let v = b - u. What is the common denominator of 109/54 and v?
108
Let w = 2701589/156 - 17317. What is the common denominator of 79/64 and w?
2496
Let o(v) = -2*v**2 - 66*v - 16. Let q(n) = 3*n**3 + 7*n**2 + 6*n + 4. Let p be q(-3). What is the smallest common multiple of 32 and o(p)?
96
Suppose 2*o = -10*i + 15*i - 4666, i - 957 = -3*o. What is the smallest common multiple of i and 15?
4680
Let v be (37/4)/(4/256*4). Let z = v + -144. What is the least common multiple of 2 and z?
4
Let q be (21/(-15) + 0)/(2/(-10)). Suppose q*v - 14 - 14 = 0. What is the smallest common multiple of ((-2)/v)/(1/(-2)) and 11?
11
Suppose -282 = -132*n + 101 - 119. Calculate the smallest common multiple of n and 4200.
4200
Suppose -93 = q + 4*k - 153, 5*q = -5*k + 435. Calculate the lowest common multiple of 32 and q.
96
Suppose -3*t + 1 + 8 = 0. Suppose 16 = t*w + 4. Suppose w*a - 12 = a. Calculate the smallest common multiple of a and 9.
36
Suppose 3*n = 6*c - c + 202, 141 = 2*n + 3*c. Suppose 0 = 4*h - 8, 4*b - h + 4*h = 102. What is the lowest common multiple of n and b?
552
Suppose -678 = -6*t - 702. What is the least common multiple of 5 and ((-29)/t)/(6*(-2)/(-192))?
580
Suppose -l - 3 = -15. Suppose -4*w + 4 = l. Calculate the common denominator of -1 - w*(-20)/264 and 35/18.
198
Suppose 4*y - 2*y - 112 = 0. Find the common denominator of (-15960)/(-12096)*(-4 + 0) + 1*3 and y/270*(-15)/6.
54
Suppose -14*y + 2 = -194. Let c = -6 + 9. Suppose -c*h + 64 = -5*k, h - 24 = -2*k + 5*k. Calculate the least common multiple of y and h.
126
Suppose 5*o - 2*o = -2*w - 17, -3*o = -2*o + 7. Suppose 2*d - 6*d + 752 = 0. Calculate the lowest common multiple of d and w.
188
Suppose 0 = 4*s + 6*z - 20, 2*s - 4*z = -3*z + 26. What is the smallest common multiple of 308 and s?
308
Let n be 3402/(-84)*(-14)/1. Let k = n + -545. Calculate the lowest common multiple of 204 and k.
2244
Let j be (-15 - -4) + (5 - 2). What is the common denominator of 59/20 and ((-510)/444)/(j/(-4))?
740
Suppose 331*v - 1645 = 922 - 581. Let w(l) = -l**3 - 4*l**2 + 5*l - 3. Calculate the smallest common multiple of v and w(-6).
78
Let x = 453565 - 136069649/300. Calculate the common denominator of x and -8/175.
2100
Let u = 832 - 592. Suppose -14*l + u = -6*l. Calculate the least common multiple of l and 135.
270
Let m(b) = 2*b**3 + 