
Let f = -10 - -25. Let t = f + 1. Let z = 1583 + -1555. Calculate the lowest common multiple of t and z.
112
Suppose -2898 = -15*t + 8892. What is the least common multiple of 10 and t?
3930
Suppose 4 = -2*s + 3*s. Let m(t) = t**3 - t**2 - 3*t - 6. Let u be m(s). Let v = u - 25. Calculate the least common multiple of 8 and v.
40
What is the least common multiple of 107 and -16*(-1)/3 - (-112)/(-84)?
428
Let f be 7 + ((-1 - -2) + 1)*1. What is the common denominator of 1 + (-708)/56 + 5 and (-10)/f*2/4?
126
Let w(y) = -2*y**2 + 27*y - 9. Let i be w(13). Let g be i - (16 - (-5 - -7)). Find the common denominator of -59/14 and (-134)/100*(g + 9).
350
Suppose -5*k + 314 = 64. Let u(m) = -m**3 + 28*m**2 - 86*m + 285. What is the smallest common multiple of u(25) and k?
50
Suppose 2*v - 515 = 3*d, -13*v + 11*v - 2*d = -490. Calculate the least common multiple of 50 and v.
250
Let d(z) = -2*z**3 + 21*z**2 + 8*z - 170. What is the lowest common multiple of 366 and d(10)?
1830
Let x(d) be the second derivative of 197*d**4/6 + d**3 + 7*d**2 + 17*d. Let f be x(-7). Let c = f + -346853/18. Calculate the common denominator of c and 63/8.
72
What is the lowest common multiple of 420 and (2 + (-5)/(-5) - 1)*9/2?
1260
Suppose 21*g - 1529 - 4309 = 0. Suppose 0 = 4*s + 4*o - 56, 4*s + o + 4*o - 59 = 0. What is the smallest common multiple of g and s?
3058
Calculate the common denominator of 93/2 and ((-21)/(-223308)*1)/(-4 - 749/(-189)).
24812
Calculate the common denominator of ((-70)/106918)/(24/(-294)) and 69/16.
17456
Let s = -31/30 + -33/10. Let b be (778954/14)/((-270)/(-63)). Let i = 12985 - b. What is the common denominator of i and s?
30
Let a = 198/41 - 17593/4059. Find the common denominator of 19/110 and a.
990
Calculate the common denominator of ((-4)/8)/((-9)/123*1190/306) and (-195)/189 - (-4)/2.
630
Let k(l) = 7*l - 118. Let u be k(20). Calculate the smallest common multiple of u/121 + (-192)/(-33) and 2.
6
Let l = -263776921/744 + 354539. What is the common denominator of l and -65/1736?
5208
Let v = -651/23 - -12309/391. Let q = v - 1388/255. Calculate the common denominator of (-130)/12 - 29/(348/72) and q.
30
Let b = 5200/79 - 583613/8690. Let l = 6051/3355 + b. Find the common denominator of -7/2 and l.
122
Suppose -5*f - 12 = -n - f, n - f - 9 = 0. Suppose 30 = -n*g + 18*g. Calculate the lowest common multiple of g and 8.
24
Find the common denominator of 1/24 and (-2 + -2)*1/(-22) + 46345/(-151866).
4248
Let y = 4833/830 + 9/332. What is the common denominator of y and 71/5290?
10580
Let g be 494/32 + -14 + 0. Let i = -9221/160 - -1827/32. Let s = i + g. Find the common denominator of s and -55/6.
30
What is the common denominator of (-74944)/13608 - (-33)/6 and -29/42?
3402
Suppose 2*p + 2*q - 44 = 6*q, p - 4*q = 26. Calculate the least common multiple of 102 and p.
306
Suppose -1108 = -5*i - 1113. Calculate the common denominator of (-28)/16*(33/30 + i) and 91/24.
120
Let q be (2*3361/1428)/((-159900)/(-15360)). Let k = q - -24/7735. Find the common denominator of -43/27 and k.
1107
Let y = 93 + -79. Let h = y + -7. Calculate the least common multiple of h and 9.
63
What is the common denominator of 151/2790 and -20*5/(-300) - 7/15?
2790
Calculate the lowest common multiple of 621 and ((-1261)/13)/(-5 - -4) - 5.
2484
Let d(a) = 5*a + 11. Let k be d(-3). What is the common denominator of 93/2 and (k + (-101)/(-2))/4?
8
Let f be ((-11)/(-6))/(-11) - 539/6. Calculate the common denominator of (-3555)/f*1/10 and -41/100.
100
Let j = 865/11 - 16849/220. Calculate the common denominator of j and -3 + (108/(-16) - 0/3).
20
Suppose -39*j + 2064 = 4*j. Let a(d) = d**3 - 27*d**2 + 26*d + 3. What is the lowest common multiple of a(26) and j?
48
Let k be ((35/(-10))/(-7))/(1/(-2)). What is the least common multiple of 60 and 20*8/(-48)*(-4 - k)?
60
Let u = 822 - 842. Calculate the least common multiple of (-2562)/(-70) + (-3 - 48/u) and 180.
180
Let j = -2/1485 + -2551/2376. Calculate the common denominator of j and 566 + -600 + (-6576)/(-190).
760
Let z = -3456 - -3471. What is the least common multiple of 11 and z?
165
Let y = -6982 + 8252. Calculate the least common multiple of y and 762.
3810
Let d = -3 - -6. Suppose -9*n - 17 + 431 = 0. What is the least common multiple of n and d?
138
Let t(z) = -z**3 + 11*z**2 + 2*z + 20. Let l be t(11). Let c = -70 + l. What is the common denominator of -105/44 and (-1166)/84 + 8/c?
132
Let x = -155719/15 - -10375. Let u(p) = p**2 - 30*p + 100. Let i be u(26). Calculate the common denominator of (-970)/264 - i - 5/(-4) and x.
165
Suppose -6*d = -5*d + 15. Let n be (1 + (-38)/32)/(d/32580). Let z = n - 405. What is the common denominator of z and 13/22?
44
Let y be 45965/6*26/220. Let q be 1 - 2/(32/14516). Let t = y + q. What is the common denominator of -7/12 and t?
132
Let w = 18858 - 2338431/124. Let n = 17905 - 501281/28. What is the common denominator of w and n?
868
Let a be -7*(4/10)/((-23)/115). Calculate the common denominator of (2*(-8)/a)/(54/99) and -43/9.
63
Let j be (-6079)/(-2)*-11*22/(-5445). Let c = 696/5 - j. What is the common denominator of c and -70/9?
9
Suppose 0 = j - 133 - 51. Let n be 4/7 + j/(-28). Find the common denominator of 22/5 and 2/n*(63 + 8).
15
Let o = 140 - 132. Suppose -o*p = 6 - 38. Suppose p*b - 9*b = -2*i + 115, -5*i + 365 = 3*b. Calculate the smallest common multiple of i and 22.
770
Let f = -118 - -118. Calculate the lowest common multiple of (2/4 + -1)*(-24 - f) and 11.
132
Let x = -5 - -27. Suppose 2*f - 2*y + x = -3*f, -3*f - 34 = 4*y. What is the lowest common multiple of f/10*(-20)/4 and 27?
27
Suppose -263*a + 264*a = -5*j + 4305, 0 = j - 4*a - 840. What is the lowest common multiple of j and 387?
7740
Let r(k) = -k**2 + 4*k + 3. Suppose -51*t = -39*t - 972. Calculate the lowest common multiple of r(3) and t.
162
Suppose d - b - 118 = 0, 0*b + 3*b + 110 = d. Let r = d + -134. Calculate the lowest common multiple of (-6)/(-18) + (700/r)/(-5) and 20.
60
Suppose 0*a + j + 715 = 3*a, 5*a = 3*j + 1193. Calculate the common denominator of (a/(-60) - -4)*-47 and (-4401)/(-45)*(-3)/54.
30
Let f = 8931383/112578 + -6908/87. Find the common denominator of f and -13/1294.
1294
Let g be 22 - 19 - 14/2. What is the common denominator of 91/50 and g/(-34) + 59276/(-14280)?
150
Suppose 0 = 5*v - 181 - 9. Let t = v + 10. Calculate the common denominator of 117/20 + 12/t and -37/14.
70
Let r = 21612/31 - 4531979/6510. Find the common denominator of 19/910 and r.
2730
Let h = 87 - 111. Calculate the common denominator of -45/82 and (5940/(-504))/(h/7).
656
Let b = -17849 - -8877. Let r = -107563/12 - b. Let c = 192435/14 - 13739. Find the common denominator of r and c.
84
What is the common denominator of 420/(-9)*(-1)/(-4) and 270/162*39/(-12)?
12
Let n be 4675/(-30)*153/680. Let r = -5985 + 48177/8. Let c = r + n. Find the common denominator of 99/20 and c.
80
Let t(z) = -z**3 - 4*z**2 - z + 4. What is the least common multiple of (4/9)/(280/197820) and t(-4)?
1256
Let j be 6/(-4)*284/(-6). Suppose -j = 6*v - 83. Let a = 8 + -6. What is the smallest common multiple of a and v?
2
Let f(a) = a**3 + 5*a**2 - 11*a - 6. Suppose 0*v = 4*v - 220. Calculate the smallest common multiple of f(-3) and v.
495
Let z(p) = 14*p - 394. Let r be z(26). What is the lowest common multiple of 264 and 0 + (-12)/30*r?
264
What is the lowest common multiple of (-18)/(-3)*(-667)/(-29) and 144?
3312
Let t(i) = -52*i**2 - 261*i + 2. What is the lowest common multiple of t(-5) and 204?
1428
Let w be (2/(-4))/(5/30). Let r = -30 + 10. What is the common denominator of (24/r)/w - (-1354)/240 and 73/27?
216
Let x = -220243/2706 + 3360/41. What is the common denominator of -79/99 and x?
198
Suppose 9*z = 4875 + 9444. Let m = -3/429301 + -6123549437/3863709. Let u = z + m. Find the common denominator of 103/40 and u.
360
Let a = 361 + -331. Find the common denominator of -29/8 and (132/4125)/((-4)/a).
200
Let m = 109235/3 + -36431. What is the common denominator of m and ((-94)/10)/(2/(-5))?
6
Let b(l) = -l**2 - 7*l + 6. Let y(t) = 10*t**2 + 0*t**3 - 2*t - 3*t**3 - 12 + 0*t + 4*t + 2*t**3. Calculate the least common multiple of y(10) and b(-7).
24
Suppose 34 = 5*j + 4*a, 5*j + 5*a + 10 = 4*j. Suppose