6 + 1/102611. Find the common denominator of 97/312 and s.
936
Let t(u) = -5*u - 75. Let q(z) = -15*z - 224. Let x(a) = -2*q(a) + 7*t(a). What is the smallest common multiple of 36 and x(-21)?
252
Let a be ((-4)/16)/(11/176) + 16. Let h(t) = -3*t + 60. Let l(u) = -u + 30. Let p(d) = -3*h(d) + 5*l(d). Calculate the lowest common multiple of 12 and p(a).
36
Calculate the common denominator of ((-360)/13104)/((-24)/75) and 79/252.
13104
Suppose -4*b = 23 + 9. Let w(d) = -20*d + 49. Let p be w(8). Find the common denominator of 2 + (4/b)/((-30)/p) and 61/16.
80
Let h = -1817/21 + 278/3. Let j be 7649/(-1260) - (200/(-72) - -3). Let y = h + j. Calculate the common denominator of -121/20 and y.
20
Let r(k) = -3*k + 7. Let b be r(-3). What is the common denominator of -100*(-1)/1*(-8)/20 and (-6)/(-3) + 114/b?
8
Let c = -31/247 - -195038/1235. Let z = -151 + c. Calculate the common denominator of z and 41/8.
40
Let l be (-204)/(-18) - 6/(-9). Let q be (-20896)/l + 10/(-6) + 2. Let o = q - -15652/9. What is the common denominator of 34/27 and o?
27
Let w(d) = -4*d**2 + 24*d - 2. Let v be w(6). Calculate the least common multiple of (v/3)/((-19)/((-342)/(-12))) and 0 + 4 + -1 + 1.
4
Suppose -4*c - 5*c - 72 = 0. Find the common denominator of ((-10)/c*3)/(63/(-154)) and -55/2.
6
Find the common denominator of 15 + -16 + (-153)/(-648) and -43/408.
1224
Calculate the least common multiple of 1604 and 14/2 - (-8 + 2 - -7).
4812
Let s = 25746277/224 + -114939. Find the common denominator of 25/448 and s.
448
What is the common denominator of (-118)/(-20)*(-22)/(-594) and -59/648?
3240
Let y(d) = -115*d - 221. Suppose -5*k - h + 2 = -3*h, -5*k = 5*h - 30. Calculate the lowest common multiple of k and y(-2).
18
Calculate the common denominator of -145/6 and (4/(-1407))/(192/1152).
2814
Let a = -262843 + 745159897/2835. What is the common denominator of -59/105 and a?
2835
Suppose -3313 = -2*w - n, 3*w + 0*w - 4994 = 2*n. What is the least common multiple of w and 110?
18260
Suppose -230 = 5*t + 5*i, -2*t + 0*i - 5*i = 95. Calculate the lowest common multiple of (2 + -2 + -1)*-8 and (11*1)/(t - -46).
88
Let p(w) = 16*w + 3. Let q(t) = 7*t**2 + t - 1. Let j be q(1). What is the least common multiple of p(1) and 0 + 0 + 0 + j?
133
Let d be (1 + 4442)*9/27. Let y = d + -4486/3. What is the common denominator of y and (-2)/(48/428) + 1?
6
Suppose 0*z = 3*v + 5*z + 9, v = 4*z + 14. Suppose 2*w = 3*t - 86, -50 = w - 7*t + v*t. Find the common denominator of 149/96 and ((-2)/8)/(w/(-328)).
480
Let n be 6 + -4 + -4 - -1*1. Find the common denominator of -133/96 and 1431/378 + (n - -2).
672
Let t = 31400 + -31394. Calculate the lowest common multiple of t and 10630.
31890
Let n be (2181/(-6))/((-5)/(4*175)). Let z be 3/(-12) - n/(-36). Let r = z + -5667/4. Calculate the common denominator of -99/4 and r.
36
Let r = -73 - -64. Let i(p) = 5*p + 27. Let s be i(r). What is the lowest common multiple of 15 and s/(2*(-12)/32)?
120
Let h = 1798 + -21595/12. Let t = 1390189/10 - 139009. Find the common denominator of h and t.
60
Suppose 6620 = 25*v + 4268 - 8948. Calculate the smallest common multiple of 2260 and v.
2260
Let z = 140236/11 - 12750. Suppose 22514 = -5*x - y, -y - 3*y = 3*x + 13522. Let o = x - -49557/11. Calculate the common denominator of z and o.
11
Let j = 3 + -66. What is the common denominator of -1 + 103/(-2) + 3/1 and 1/8*(-406)/j*-6?
6
Let h = 201 + -65. Let i = h + -121. What is the least common multiple of ((-8)/(-6))/(5/i) and 11?
44
What is the common denominator of 18/(-12)*(6 + 130/(-21)) and ((-23)/(-3))/(302/(-6))?
1057
Let m(h) be the first derivative of h**4/4 - 13*h**3/3 - 13*h**2/2 - 12*h + 6. Calculate the smallest common multiple of m(14) and 12/7 - 4/(-14).
2
Let z = -4265 + 4350. Calculate the smallest common multiple of 850 and z.
850
Suppose 2*a + 147 = g, 5*g + 224 = -5*a - 181. Let l = a - -81. Calculate the smallest common multiple of 1 and l.
5
Let h = 64 + -60. Suppose 2*b = -5*r - 133, -131 = 2*b - h*r - 7. Let n = -43 - b. What is the lowest common multiple of 6 and n?
42
Let u be 904886/6320*126/(-32025). Let p = -1/30500 - u. What is the common denominator of p and -107/10?
790
Suppose 4*v - 573 = -3*l, 4*v - 65 = -5*l + 514. Calculate the smallest common multiple of 42 and 244/10 + -1 - v/(-235).
168
Let y(z) = -3*z + 19. Let g be y(6). What is the common denominator of g/(-8) + (-1394)/(-8976) and 37/48?
528
Let c(a) = -64*a - 42. Let d be c(1). Let r be (-261)/2 + 4/8. Let f = d - r. Calculate the lowest common multiple of 12 and f.
24
Let w = 74761/3148 + 1/787. Let t = -26113193/196482 + -1324/2977. Let r = t + 1740/11. Find the common denominator of w and r.
12
Let v = -1053961/480 - -6586/3. Calculate the common denominator of 19/440 and v.
1760
Suppose 8*j - n = 4*j - 1, 2*j + 2*n = 2. Suppose -5*v - 522 - 408 = j. What is the common denominator of 113/12 and 3/(-30) + v/80?
120
Suppose -384*v = -362*v - 132. Suppose -3*m + 9 = -9. What is the smallest common multiple of m and v?
6
Let f(b) = 9*b - 26. Calculate the lowest common multiple of f(4) and (-2 - (-67)/(-2))*-2.
710
Let t(r) = 2*r**2 + r. Let n(z) = 11*z**2 - 2*z - 12. Let b(d) = n(d) - 5*t(d). What is the least common multiple of b(9) and 10?
30
Let k = 7 - 7. Suppose -2*y + 8 = k, -3*y + 108 = 2*n + y. What is the lowest common multiple of (-2)/16*-130 + (-14)/56 and n?
368
Let q = -94 + 185. Suppose 0 = 12*u + 19 - q. What is the least common multiple of u and (-133)/(-3) - (-4)/6?
90
Let f = 156335 - 23137483/148. What is the common denominator of f and ((-2)/(-20))/((-921)/51576)?
740
Calculate the smallest common multiple of 1834 and (30*(-7)/(-140))/((-1)/(-70)).
27510
Suppose 49 = 3*w - 59. Let b = -77201 - -77267. What is the lowest common multiple of w and b?
396
Let c(u) = u**3 + 12*u**2 - 2*u - 24. Let z be c(-12). Suppose z = 13*j - 119 - 297. What is the least common multiple of 32 and j?
32
Let g(j) = 23*j - 5. Let v be g(-2). Let y = v + 129. Let t = y + -76. What is the lowest common multiple of t and 16?
16
Let o(r) = 6*r - 96. Suppose -4*v = -t + 47, 3*v + 6 + 9 = 0. What is the smallest common multiple of o(20) and t?
216
Find the common denominator of (-664)/(-196)*((-22151)/11016 + 2) and -61/196.
15876
Let i be ((-6601)/82)/(1/(-132)). Let h = 382439/36 - i. What is the common denominator of 133/36 and h?
36
Let k be (124/6 - 2)/((-305)/(-6527)). Let f = k + -2405/6. What is the common denominator of f and 92/45?
90
Let y = -583177/44 - -13255. What is the common denominator of -83/1812 and y?
19932
Let u = 164727/11 - 15057. Let p = -3325/44 - u. What is the common denominator of 48/22 + -2 + (-174698)/99440 and p?
40
Let z = 711/11 + -129149/2002. What is the common denominator of z and -31/416?
2912
Let r = 33035/4326 + 2/309. Let j(o) = -17*o - 2. Let y be j(2). Calculate the common denominator of (-2)/(-8) - (-435)/y and r.
42
Let u(c) = c. Let f be u(-7). What is the common denominator of (-27)/10*(-6 + 7) and 67/14 + 21/f?
70
Let u = 721729 - 40415457/56. Let h = u + -233/7. Calculate the common denominator of ((-4)/10 - (-1166)/(-1060))*74/(-24) and h.
8
Let h = 1/4 + -75/4. Let u be 20/3*(4 + 17). Find the common denominator of 890/u - 8/14 and h.
14
Calculate the common denominator of (-3531)/(-3600) + 2 + (18 - 0) + -21 and 43/750.
6000
What is the smallest common multiple of 0 + 400/68 - 2/(-17) and 20 - ((-2)/3 + (-1)/3)?
42
Let o = -65 - -97. Suppose 4*h + o = -3*n, n - 4*n - 35 = h. Calculate the smallest common multiple of (-32)/n*2*3 and 10.
80
Suppose 128*a - 16376 = -146*a + 185*a. Calculate the least common multiple of a and 224.
5152
Let j be ((-2)/4)/((-1)/122). Suppose 2*s + 2*f - 146 = 0, s + 5*f - j = -0*f. What is the least common multiple of 3 and s?
228
Let m = 5111 - 5104. Suppose 3*x - 639 = -4*p - 123, 3*p + 713 = 4*x. What is the least common multiple of m and x?
1232
Suppose 191*r - 187*r - 8 = 0. Suppose -r*c - 153 + 189 = 0. What is the least common multiple of 6 and c?
18
Let s(i) = 5*i**2 - 12. Let f be s(-6). Suppose 308 = -161*h + f*h. What is the lowest common multiple of 40 and h?
440
Suppose -174 = -33*r + 27*r. Suppose -m + 2*y = -6, -r = -3*m - 12*y + 7*y. What is the least common multiple