z = -3*g - 59, -4*z - g + 5*g = -212. What is the lowest common multiple of n and z?
50
Suppose 5*z - 13 = 4*d - 478, -5*d + 609 = 3*z. Find the common denominator of 7/2 and (-13)/(-39) + 1436/d.
10
Let f = -21057/56 - -5245/14. Find the common denominator of ((-5)/(-6))/((-2)/15) and f.
8
Let j be ((-121)/(-26))/((-19)/144). Let x = j + 600/19. Find the common denominator of 13395/1316*(-7)/(-6) and x.
104
Let d = 6365/238 + -682543/1785. Let w = 1869/5 + d. Find the common denominator of w and 46/27.
54
Let a(r) = 13*r**2 - 1. Calculate the lowest common multiple of 1*465/12 - 63/(-252) and a(-1).
156
Suppose -5*k = -k + 16. Let x be k - 7/3*-3. Suppose -96 = -3*d - x*d. Calculate the lowest common multiple of d and 12.
48
Let p = 9062 + -81482/9. Let m = 504 + -3079/6. Calculate the common denominator of m and p.
18
Let t = 2145 + -2136. What is the least common multiple of t and 81?
81
Suppose -3*u - 6873 = -2193. Calculate the lowest common multiple of 24 and u/(-32) + 6/(-8).
48
Let s = 10904821151/960974568 + 6766/199207. Let p = -4/603 + s. Let m = 2142/13 - 68661/416. Find the common denominator of p and m.
32
Let v be (-6)/9 - (-1504)/(-84). Let p = v - -1209/70. What is the common denominator of p and -91/2?
10
Let k = 493 - 28. Find the common denominator of ((-29)/5)/1*k/3906 and -61/30.
210
Let k be 496998/24 + 6/8. Let x = -104178/5 + k. Let m = 119 + x. Calculate the common denominator of m and 61/2.
10
Suppose 3*q + f - 1127 = 0, -5*f + 192 = q - 165. What is the smallest common multiple of q and 0/(-4) - (3 - 13)?
3770
Let z = 610229/2338968 + 31/7131. What is the common denominator of -61/902 and z?
3608
Let k(s) = -s**3 - 4*s + 3. What is the smallest common multiple of k(-3) and (-264)/99*93/(-4)?
1302
Let r = 1 + -3. Suppose -4530*u = -32139 + 4959. What is the lowest common multiple of 40/6 + r/3 and u?
6
Suppose 8 = 2*o + 4*l, -3*l = -3*o - 7 + 28. Let z = 2071/488 - -35/732. Calculate the common denominator of (-137)/o - 0/(-6) and z.
24
What is the common denominator of ((-338)/(-114) + -3)/((-378)/1809) and -64/627?
4389
What is the common denominator of 127/710 and 44/(-10) - -4 - 1/((-10)/(-77))?
710
What is the common denominator of ((-12958)/570 - -21)*3 and (-69)/(-4)*4/10?
10
What is the common denominator of (-92652)/23408 + 4/1*1 and 53/128?
26752
Suppose -3*u - 20 = -4*r, r - 4*r = 2*u - 15. Suppose 2*b - 2*d + 239 = 7*b, 4*b - 6*d = 252. What is the least common multiple of b and r?
255
Let c(j) = j**2 - 3. Let l be 8*(8/12)/(8/(-90)). What is the lowest common multiple of l/(-4) - (6 - 5) and c(-5)?
154
Suppose 57*j - 39*j = 90. Suppose -8*l = j*l - 117. Calculate the lowest common multiple of 4 and l.
36
Let q(j) = j**3 - 2*j**2 + j + 100. Let m be q(0). Let o = m - 100. Let h(k) = -k**3 + 2*k**2 + 19. Calculate the least common multiple of h(o) and 11.
209
Suppose -s - 4*z = -206, 88*s + 4*z - 800 = 84*s. What is the lowest common multiple of 218 and s?
21582
Let q = -965 + 979. What is the least common multiple of q and 54?
378
Calculate the common denominator of -29/335 and (-13)/(-195) + 0 + (-20)/(-156).
13065
Let s be 1 - (0 + -1 + 2). Suppose s*g - 44 = -2*g + 3*k, 4*k = 2*g - 42. Suppose -23*w + g*w = 54. What is the least common multiple of w and 27?
27
Suppose -5*n = 132 - 157. Suppose 5*k = -3*o + 74, 12*o + 88 = n*k + 8*o. What is the lowest common multiple of 8 and k?
16
Let p be ((-1160)/(-87))/(2*(-3)/27). What is the lowest common multiple of (-2)/(-12) + (-950)/p and 12?
48
Let s = -69179/215208 - -6/2989. Find the common denominator of -73/24 and s.
72
Let b = -190 + 190. Let x(m) = 8*m + 20. Calculate the least common multiple of 44 and x(b).
220
Calculate the lowest common multiple of 20 and (578/7)/(66/(-154))*-3.
5780
Let f be 8/(-3) + 3 - 211083/(-216). Let l = 8746/9 - f. What is the common denominator of l and -29/28?
168
What is the common denominator of 36 + -35 + (1 - (-60)/(-99)) and 136/468 - 2/(-9)?
429
Let a be 38/(-8) + (-6)/(-8). What is the common denominator of 5/70*(1 + a) and (10/(-75))/((-12)/(-125))?
126
Suppose 0 = 4*t - 16, 128 = 4*i + 4*t - 0*t. Suppose 3*c = -2 - i. What is the least common multiple of 40 and 16*(-2 + (-25)/c)?
40
Let d = -130219/5 - -84381577/3240. Find the common denominator of d and -37/81.
648
What is the smallest common multiple of 165/(-550) - 2606/(-20) and 1?
130
Let h be 186768743/1932 + (-2)/(-1). Let m = h - 386383/4. Let k = m - 461/6. Find the common denominator of k and -57/4.
92
Suppose 4*j = 5*q + 410, -3*j + 491 = -2*q + 194. Calculate the lowest common multiple of j and 190.
190
Let x = 173 - 157. Let v = -14 + x. Let o = 45 - 29. What is the least common multiple of o and v?
16
Suppose 24 = 6*m + 6. What is the common denominator of m/(-12) + 31/3 and 65/36?
36
Calculate the common denominator of -143/1128 and ((-574)/7380)/(36/(-165)).
10152
Let n = -633222 + 763032458/1205. Calculate the common denominator of 1/3 and n.
3615
What is the common denominator of -163/396 and 815/(-2520) - 70/(-490)?
792
Let q = -302 + 297. What is the least common multiple of 7 and 507/9 + ((-48)/9 - q)?
56
Let d(a) = 11*a - 28. Suppose -6*y + 0 = -18. Let z be d(y). Suppose 0 = -3*w + z + 1, -4*u + 10 = -3*w. What is the smallest common multiple of u and 6?
12
Let z = 18607/203640 - -1/3394. What is the common denominator of 66/81 + (-2)/12 and z?
1080
Let y be 8/(-6) - (18763/(-3) + 3). Let c = 328981340/33 - 9975381. Let m = c + y. What is the common denominator of m and -149/36?
396
Suppose -450 = -10*g - 642 - 668. Suppose 4*p + 3*d = 62 - 352, 2*d = 5*p + 374. Let o = p - g. Calculate the smallest common multiple of o and 22.
132
What is the common denominator of (-25 - (-66033)/2568) + (-2)/3 and -119/48?
5136
Suppose 0 = 103*k - 4 - 8648. What is the least common multiple of 770 and k?
4620
Let i = -1693 + 16867/10. Find the common denominator of i and (-18)/(-135) - 959/(-120).
40
Let s = -106 - 67. Let g = -131 - s. What is the lowest common multiple of 42 and g?
42
Let l(t) = t**2 + 220*t + 2255. What is the lowest common multiple of l(0) and 410?
4510
Let a = -17763 - -675035/38. Let z = 38903832414229/6770445222 - 226333851/39553. Let t = z + 2/28529. Find the common denominator of t and a.
114
Let s = -22297/1040 - -337/16. Calculate the common denominator of (-95)/70 + -2*1 and s.
910
Let k(j) = -714*j - 10689. Suppose 30 = -2*x + 3*x. Let w = x - 0. What is the lowest common multiple of k(-15) and w?
210
Let l = -267776 + 96399179/360. What is the common denominator of l and -7/310?
11160
Let j = -155567/590436 - 5/1988. What is the common denominator of j and 125/132?
1188
Suppose -35*s - 417 + 3327 = -1115. Calculate the least common multiple of 46 and s.
230
Let j(y) = -2*y**3 - 60*y**2 + 59*y + 3. Let i be j(-31). Find the common denominator of (-382)/i*2 + 7 and 79/56.
168
Calculate the least common multiple of 1245 and (-469)/(-70) - 27/(-90).
8715
Let q = 3407 + -3386. What is the smallest common multiple of q and 315?
315
Let u be (-116)/(-8)*20/(-10)*-21. What is the common denominator of 16/255 and -1 + 3 - u/90?
510
Suppose 0 = -2*l - 5*d + 9*d + 500, -4*l + 5*d + 1000 = 0. Let y = 270 - l. What is the least common multiple of y and 414?
4140
Suppose -2984 = -5*p - 2924. What is the least common multiple of p and 56?
168
Let x = -6098 - -109703/18. Let n be (-8 - 125/(-15))*2867. Let i = -978 + n. Find the common denominator of i and x.
18
Let d(y) = -20 + 0*y + 13*y + 4*y**2 - 5*y**2 + 0*y**2. Let a be d(11). What is the smallest common multiple of 12 and (126/56)/(a/16)?
36
Let y = -2 + 27. Suppose -5*b = -y - 15. Calculate the least common multiple of (-5 + 1)*(-28)/b and 12.
84
Let o be (-6)/4*(-16)/6. What is the lowest common multiple of (36/(-8))/(o/(-120)) and 25?
675
Suppose -4*r + 4284 = 698*u - 696*u, 5*u = -3*r + 10689. Calculate the lowest common multiple of 1780 and u.
10680
Let v be ((-2)/(5 - 3))/(298/8). Let d = v + -1027/596. Calculate the common denominator of -64/65 and d.
260
Let t(n) = n**2 - 16*n + 62. Let f be t(18). Suppose 0 = 14*o - 21*o + f. What is the lowest common multiple of o and 40?
280
Let h = 10714 + -9754. What is the smallest common multiple of 224 and h?
6720
What is the com