1). What is the lowest common multiple of v(n) and 114?
1254
Suppose 24*u - 10*u - 14 = 0. Calculate the smallest common multiple of 27 and (30/u - -2) + 1/1.
297
Suppose 5*n - 11*t + 15*t + 1816 = 0, 0 = -3*t - 12. Find the common denominator of -49/50 and (-365)/2*24/n.
150
Let t(u) = 3*u**2 + 7*u + 10. Let s be t(8). Let v be s/14 + -1*3/7. Suppose -19*p + 22*p = v. What is the lowest common multiple of p and 10?
30
What is the common denominator of -8/3 and 398525/65360 + (-5)/((-15)/(-18))?
2064
Let m be (-4)/(-6) - 3844832/(-159). Let s = -2176343/90 + m. Calculate the common denominator of s and -113/36.
180
Let b be 360/38 - -24*8/(-32). Let h = b + -301/114. Find the common denominator of 93/32 and h.
96
Let b = -13080421/136 + 96179. Calculate the common denominator of 171/63*24/((-4800)/35) and b.
680
Let t(k) = k**3 - 7*k**2 - 9*k + 8. Let u be t(8). Calculate the least common multiple of (-2 - -5) + 2 + u and (4454/655)/((-2)/10*-2).
85
What is the common denominator of (-1123489)/(-856380) + (-4)/42 and 4/14 + 3237/(-2142)?
1020
Let w(s) = 6*s**3 + 2*s**2 - 2*s - 3. Let n be w(-1). Let o be 4/(-10)*(-50)/n. Calculate the common denominator of -1 - (4 - (-2)/o*-73) and -59/10.
10
Let s = 1 - -2. Suppose -2*o - 2*c = -372, -o + 5*c + 168 = -24. Let q = o + -180. What is the lowest common multiple of s and q?
21
Calculate the common denominator of 7*35/((-2450)/480) and 167/588.
588
Let w be (-6)/12*(0 - 8). Suppose 0 = 2*p - w*p + 10. Let h(x) = x**2 + 9*x - 12. Calculate the lowest common multiple of h(p) and 8.
232
Let u be 3*(-1)/(-7) + 81/7. Let g(w) = -w**3 + 16*w**2 - 16*w + 30. Let a be g(u). Find the common denominator of -17/38 and (-1)/(-3) - (-437)/a.
342
Calculate the common denominator of (-2 - (-7)/4)/((-74493)/(-2418)) and -55/2136.
6408
What is the least common multiple of 2446 and ((-416)/(-182))/(6/21)?
9784
Suppose 62 + 338 = -4*t. Calculate the common denominator of -1 + 3 - 215/t and (-39)/(-52) + (-95)/(-75).
60
Let m = 161 + -21. Let x = 149 - m. Calculate the lowest common multiple of 11 and x.
99
Let b(i) = -4*i**2 + 6 + 0*i - 4*i - i**2 + i**3 - 6*i. Calculate the smallest common multiple of b(7) and (-1*2/3)/((-3)/45).
170
What is the least common multiple of 975 and (-922)/(-14) + 24/(-14)*3/6?
975
Let m(j) = 27*j**3 + j**2 - 92*j + 91. What is the smallest common multiple of 69 and m(1)?
621
Suppose -18*z = -5987 - 1899 - 30184. What is the least common multiple of z and 90?
4230
Calculate the smallest common multiple of 21/3*1 + (-53874)/(-73) and 7.
5215
Suppose -30*a + 313*a - 15*a = 2144. Calculate the lowest common multiple of a and 1676.
3352
Let g(j) = -7*j - 24. Let u be g(-5). Let d(h) = h**2 - 8*h - 25. Let t be d(u). What is the common denominator of -17/7 and (-1389)/(-84) + t/(-28)?
28
Let r = 230 - 224. Suppose -16 - 8 = -b. What is the lowest common multiple of b and r?
24
Let p = -5888/7749 + 48/287. Let l = -3793/168 - -177/8. What is the common denominator of l and p?
378
Let m = -104973260/549 - -191208. Find the common denominator of m and 115/54.
3294
Let s(p) = 2*p**3 + 118*p**2 + 3*p + 315. What is the least common multiple of 27 and s(-59)?
1242
Let f = 46275/48776 + -2/871. Find the common denominator of f and 87/7*(-7 - 1460/(-210)).
392
Suppose 0 = -33*f + 26*f + 280. What is the lowest common multiple of 8 and f?
40
Suppose -b - 5*w + 2617 = 0, -7695 - 137 = -3*b + 4*w. Calculate the lowest common multiple of b and 12.
7836
Let l be ((-14)/49)/((-48)/(-13029892)). Let k = -77563 - l. Calculate the common denominator of k and 85/18.
126
Suppose -14*y - 7*y = -168. Let f(h) = h**2 - h + 8. What is the least common multiple of y and f(0)?
8
Calculate the common denominator of 43/12 and (-4*(-8)/(-64))/((1389/(-73))/(-3)).
5556
What is the common denominator of 77/16 and 2 - (1/12*3)/((-1554)/(-12090))?
4144
Let c = -2850/7 - -54059/133. Find the common denominator of 31/30 and c.
570
Let r(k) = 95*k - 5587. What is the smallest common multiple of 864 and r(77)?
1728
Let s(k) = k**2 - 12*k + 54. Let z be s(5). Suppose 0 = 11*d - 14*d + 4*n + z, -3*d + 16 = -n. What is the lowest common multiple of 5 and d?
5
Find the common denominator of ((-15)/14940*4)/(8/(-56)) and 149/72.
5976
Suppose 1964 = 5*s + 2*t - t, s = 3*t + 396. Let p = s + -24365/62. Find the common denominator of -6/7 and p.
434
Let g = -25/72 + -3251/72. Let u = -252881/4 - -64093. Let x = u + -892. What is the common denominator of g and x?
4
What is the common denominator of ((-1)/(-22))/((-1330)/197260) - (-21)/3 and 31/3?
627
Let z be ((-6)/1)/(-3 + (5 - 4)). Suppose z*u = -3*b + 4*u + 109, -4*b + 143 = u. What is the lowest common multiple of 20 and b?
180
Let b(w) = 19*w - 13. Let r be b(2). Suppose x - 41 = -r. Calculate the smallest common multiple of x and ((-2)/4)/(6/(-120)).
80
Find the common denominator of 10/2 + 328185/(-68607) and -16/81.
6237
Let d = 37525331/290 + -129398. Calculate the common denominator of 16/319 and d.
3190
Let t = 95/379 + -56515/66704. What is the common denominator of 83/748 and t?
2992
Suppose 5*z + a - 21 = 16, -5*z = -a - 33. Suppose -12*n + z*n + 98 = r, 0 = -2*n - 4*r + 32. What is the smallest common multiple of n and 48?
240
Let y = -10/307 + 13411/6447. Let l = 18968477/3534510 + 2/117817. What is the common denominator of y and l?
210
Let z = 23749/9 + -2642. Find the common denominator of 4002/540 - 2/(-10) and z.
18
Let u(j) = 80*j + 3049. Let t(z) = z**3 + 7*z**2 + 5*z - 1. What is the smallest common multiple of u(-38) and t(-5)?
72
Let h(r) = 6*r - 7. Let x = -1837 - -1877. Calculate the least common multiple of x and h(12).
520
Let f(n) = 13*n + 16. Let z be f(-1). Suppose -z*g + 3*c - 684 = -9*g, 4*g = 5*c + 456. What is the least common multiple of g and 48?
912
Let z = 417701/2250432 - -82/3907. What is the common denominator of 65/224 and z?
4032
Let v = -1300/189 - -78727/12096. What is the common denominator of v and 13/64?
192
Let i(f) = f**3 + 2*f**2 + 8*f - 40. Let h be i(10). Suppose -5*z = -5*p - h, -4*p = -p + 9. Calculate the smallest common multiple of z and 6.
1470
Let y = -2198/35393 + -2159579493/45515398. Let a = 6/643 + y. What is the common denominator of a and 27/10?
10
Let w(g) = 3049*g - 751. What is the lowest common multiple of 12 and w(1)?
4596
Let y be 633386/164800 + (-3 - 18/(-8)). Let i = y + 1/2575. Find the common denominator of i and -25/16.
32
Let w = 1789/14 - 618/7. Let a be (-3 + (-3)/(-6))*-4. What is the common denominator of w and ((-71)/(-6))/(11 - a)?
6
Let s(u) = -u**3 - u**2 - u - 1. Let r(l) = -3470*l - 13827. What is the lowest common multiple of r(-4) and s(-2)?
265
Let d(w) = -22*w - 26. Suppose 15*q - 3 = 16*q. Let z(t) = t**3 + 5*t**2 + 5*t - 1. What is the lowest common multiple of d(-4) and z(q)?
62
Let j = 19 - 23. Find the common denominator of -2/3 and 2/j + 455/21 + -6.
6
Let y be ((-3831)/(-66639) - -2) + 6 + -8. Let w = -6/97 + y. Calculate the common denominator of w and -32/11.
2519
Let i = -3893 - -5157. What is the least common multiple of 8 and i?
1264
Find the common denominator of (0 - 388)*(-92)/736 and -1/478.
478
Let g = -135/26 - -848/117. Let k be 3 - (2 - -97)/(-3). Find the common denominator of g and 31/6*(-81)/k.
72
Suppose 129*x - 76*x = 265. What is the smallest common multiple of x and 80?
80
Let n(s) = -457 - 31*s - s**3 + 17*s**2 + 244 + 232. Calculate the least common multiple of 51 and n(15).
204
Let b = 826141/6357936 + -4/30567. Calculate the common denominator of b and -109/96.
1248
Let a = -722 + 720. Let x = 17/727 + -101359/13086. Calculate the common denominator of x and 9/5 + a - (-27877)/610.
18
What is the smallest common multiple of ((-38)/76)/((-3)/180) and 5286?
26430
Let y be 1462/(-60) - (-8)/12. Let l = y + 1253/40. Find the common denominator of l and (-73)/(-6) + (-2)/(-4).
24
Let p(t) = 4534*t - 5370. Calculate the lowest common multiple of p(7) and 4.
26368
Suppose 2*d - 272 = 3*n, -26*d = -21*d + 4*n - 749. Calculate the smallest common multiple of d and 1073.
5365
Let u be (-22899)/204*(-4)/((-2)/(-2)). Let h = u + -385. Calculate the lowest common multiple of h and 56.
448
Let x = 4551 - 4433. What is the smallest common multiple of 236 and x?
236
Let u