Let j be o(-15). Suppose 4*w = j*z - 399 + 65, 0 = 2*z - 3*w - 223. Calculate the lowest common multiple of 99 and z.
990
Let f = 39281/483931 - -23/1883. Let w = f - -2429/9766. What is the common denominator of w and 55/12?
228
Let r = 5072 - 40649/8. Find the common denominator of r and (-12)/(-320)*(-60)/28.
112
Let a = -14069443/137 + 102696. Let g = -2612/3699 + a. What is the common denominator of g and 53/2?
54
Calculate the common denominator of ((-742)/10080*-18)/(2/(-8)) and -83/1650.
1650
Suppose 5*o + v - 198 = 0, 2*o - v - 85 + 3 = 0. Calculate the lowest common multiple of o and 40.
40
Let c(j) = j**2 - 4*j - 1. Let k be c(0). What is the least common multiple of 220 and (k/(1 - -2))/(63/(-756))?
220
Suppose -2*p = 3*m + 401, 0 = 2*p - 3*p + m - 198. Let r = p + 12441/62. Calculate the common denominator of r and -32/5.
310
What is the smallest common multiple of ((-192)/(-20))/(-16)*-5 and 618?
618
Calculate the common denominator of (-3)/8 + (-122943)/(-252520) and -53/472.
2360
Suppose -52*p + 20 = -57*p. What is the least common multiple of 516/180 + p/(-30) and 19?
57
Let h(u) = -2*u**2 + 10*u + 81. Let q = -39 - -56. Calculate the lowest common multiple of h(9) and q.
153
Let r(o) = -o**2 - 11*o + 14. Let m be r(-13). Let z = m - -108. Calculate the smallest common multiple of 60 and z.
480
Let y(f) = 3*f**2 - 27*f - 26. Calculate the least common multiple of y(-5) and 24.
552
What is the common denominator of (-30)/(30/70 - (-246)/210) and -21/449?
1796
Let q = 75/1427 - -7372409/17124. Let m = q + -429. Let s = 2332 - 18679/8. What is the common denominator of s and m?
24
Let x = -4652069/378 - -12307. What is the common denominator of (-222)/48 + (4 - 6) and x?
1512
Suppose -10*i + 61276 = 2*a, 25294 = 4*i - 5*a + 830. What is the smallest common multiple of 4 and i?
12252
Let d(z) = -28*z**3 - 3*z**2 + 2. Let v be d(-2). Let q = -109 + v. What is the smallest common multiple of q and 20?
420
Let p = 83 - 80. Suppose -3*w = -r + 4*r - 6, -p*r + w + 14 = 0. Suppose 48 = r*z - 2*z. What is the least common multiple of 36 and z?
72
Suppose -3*a + 104 = -11*a. Let u(s) be the first derivative of -s**4/4 - 4*s**3 + 5*s**2 - 31*s - 5. What is the least common multiple of u(a) and 5?
40
Find the common denominator of 16027/138880 - 8/28 and -67/80.
640
What is the common denominator of -12 + (-22412)/(-1547) + -2 and 88/255?
1785
Let d(s) = 12*s - 236. Let b be d(23). Suppose 50*j - 49*j = b. What is the lowest common multiple of j and 4?
40
Let n = 13930 + -13844. Calculate the lowest common multiple of n and 68.
2924
Suppose 4 = 2*c - 10. Let j(g) = g**2 - 4*g + 10. Let x be j(2). What is the common denominator of c and 8/x*(-49)/14?
3
Let r = -2194 - -89975/41. Calculate the common denominator of r and -9/41.
41
Let s = 1170247 + -1586854831/1356. Find the common denominator of s and -81/452.
1356
Let p = 3/9260 - -152821/14195580. Calculate the common denominator of p and -40/1971.
13797
Let j be -3 - (-47782)/(-50) - -3. Let w = j + 1913/2. Let c(z) = 5*z + 7. Calculate the common denominator of c(-5) and w.
50
Suppose 0 = 2*r + 3*j - 682, 4*r - 4*j - 965 = 459. Calculate the smallest common multiple of r and 50.
350
Let t = -540 - -543. Suppose t*h = 2*b + 60 + 60, -3*b + 9 = 0. What is the smallest common multiple of 60 and h?
420
Let s = -20 - -40. Let i = -1/979 - 91045/1958. Calculate the common denominator of (154/s)/((-12)/(-10)) and i.
12
What is the least common multiple of 38/2 + 1/1 and (145 - 155)*91/(-65)?
140
Let r(u) = -u + 36. Suppose 10*l - 12925 = -808*l + 26339. What is the least common multiple of r(0) and l?
144
Suppose -4*w = 3*d - 146408, -59*w + 183016 = -54*w + 3*d. What is the lowest common multiple of w and 22?
36608
Let i = 361 - 3253/9. Let c = -211/186 + -1/31. Let a = -23/2 + c. What is the common denominator of i and a?
9
Let b(c) = -c**3 - 5*c**2 + 8*c + 6. Let f be b(-3). Let i be (f/42)/(1/(-7)). Let g(w) = w + 5. What is the smallest common multiple of g(i) and 5?
55
Suppose -200*i + 301 = -217*i + 981. What is the lowest common multiple of 120 and i?
120
Suppose 5*g + 61700 + 14505 = 0. Let i = g - -274213/18. Find the common denominator of 1/150 and i.
450
Let g(k) = -8 + 10 + 5*k**2 - 3*k**2. Let u be g(-3). Calculate the least common multiple of 1*(5/u - (-43)/4) and 4.
44
Let h(o) = 5*o**2 + 3*o - 8. Let y be h(6). Let n = 211 - y. Calculate the lowest common multiple of 6 and n.
42
Suppose 54*m - 18620 = 19*m. Calculate the least common multiple of m and 114.
1596
Suppose -6*a = a + 322. Let q = 60 + a. What is the common denominator of (-2)/8*284/q and 187/60?
420
Calculate the common denominator of 7/4 + (-104240)/57024 and 79/12.
3564
Let u = 3 + 1. Suppose 3*a - 3*i = -72, 2*a + 0*i + u*i = -48. Calculate the common denominator of 0 - (1 - 0) - a/(-288) and 73/32.
96
Let s be 15/(1170/98891) + 1. Let d(f) = -3*f**3 - 4*f**2 + f + 9. Let b be d(-8). Let q = s - b. Find the common denominator of 4/3 and q.
6
Let f = 43127 - 2414997/56. Let j = -756/37 + 58667/2960. What is the common denominator of f and j?
560
Let x(m) = 4*m**2 + 6*m - 24. Suppose b - 6 = 4*b, -a + 5*b = -94. What is the lowest common multiple of x(-6) and a?
84
Find the common denominator of ((-112)/(-1296))/(2/(-51)) and -1 - (-5 - -2) - 1435/294.
378
Let k = 65758919767400668849/219160 + -300049825550247. Let l = -2/27395 - k. Let v = -875 + l. Find the common denominator of v and -13/8.
8
Let u(g) = -9*g + 58. Let d be u(0). Let l = d + -25. Calculate the least common multiple of l and 42.
462
Let u be -6*(-5 - (3 + -7)). Suppose 2*k = 4 + u. Suppose -2*j = -5*q - 19 + 5, -k*j + q + 58 = 0. Calculate the smallest common multiple of 42 and j.
84
Let q = 185 - 150. Calculate the lowest common multiple of 1365 and q.
1365
Suppose 2*l - 5 + 1 = 0. Suppose -c = 2*c - h, 0 = c + l*h. Suppose c = -2*t + 7*t - 135. Find the common denominator of t and -89/8.
8
Let t = 1407653/27148 + -1141/22. What is the common denominator of -109/6 and t?
7404
Let q = -697 + 1415. Suppose -30*t = -2*g - 34*t + 292, -q = -5*g + 2*t. Calculate the least common multiple of 48 and g.
144
Let u = -9619 + 57847/6. Calculate the common denominator of u and -43/1814.
5442
Suppose 40 = -0*y - 8*y. Calculate the lowest common multiple of 137 - ((-60)/y)/6 and 18.
270
Let d = 6/21797 - -348590/588519. Let r = -655 - -462. What is the common denominator of d and -1 + r/(-60)*2?
270
Let c(s) be the second derivative of -s**4/12 + 7*s**3/2 - 89*s**2/2 - 17*s. Suppose z - 72 = -2*z. What is the smallest common multiple of c(10) and z?
168
What is the common denominator of 76/75 and (38/35)/(8792/1570)?
7350
Calculate the smallest common multiple of 9/(99/3830) + ((-162)/(-99))/(-9) and 4.
348
Let z = 2649 + -222511/84. Calculate the common denominator of z and 97/252.
252
Suppose 0*u + 225 = -3*u. Let i = u - -87. Suppose -8*q = -i*q + 196. What is the common denominator of q and -51/16?
16
Let l = 19816 - 3368853/170. Calculate the common denominator of (-4)/(-14) - (-5720)/(-5712) and l.
510
Let n = -36896 + 1328339/36. Find the common denominator of n and 20/12 + 256/(-896)*1750/(-384).
288
Let x = 8119/20 - 405. Let w be 1*(-665493)/(-36) + 5. Let d = 18479 - w. Find the common denominator of d and x.
60
Let l be 3391*(11 + -118)/(38/1). Let z = 9546 + l. Calculate the common denominator of (-2)/8 + (-101)/(-28) and z.
266
Suppose 2*b - 6 = 2. Suppose 0 = n + 1, -2*n + 80 = -b*k + 18. Find the common denominator of k and (1 - (-80)/70)*(-7)/2.
2
Let j = 668 + 689. Let k = j - -1676. Let q = k + -18271/6. Calculate the common denominator of q and -79/2.
6
Let h = -205301/3 + 67429. Let a = h + 989. Find the common denominator of 232/16 - 2/6 and a.
6
Let j = 132/1169 - -4563116/5845. Let o = j - 105638/135. What is the common denominator of o and 50/447?
4023
Let k(q) = -2*q + 100. Let z be k(0). Find the common denominator of (-985)/z + 1 + (-6)/15 and -123/20.
20
Suppose 5*x + 1 = 2*q, 4*x + 2*q - 13 = -q. Let z = -94 - -96. What is the smallest common multiple of x and z?
2
What is the common denominator of 94/75 and (13/(-1) + (-16524)/(-1275))*56/31?
2325
Let l = 3747971/148614 - 3551/141. Calculate the common denominator of l and 