. What is the lowest common multiple of g and 30?
270
Let c = -6/23 - 1557/1702. Calculate the common denominator of c and 61/144.
5328
Suppose -6*s + y = -3*s - 3, 4*s = -5*y - 15. Suppose 4*z + s*j = 4*j - 32, -3*z + j - 16 = 0. Calculate the lowest common multiple of 4 - (-6 + 3 - z) and 3.
3
Let m be 86*-1*(-1)/2. Let n = 402 - 363. Let i = m - n. Calculate the least common multiple of 10 and i.
20
Let y be 36/6 + (-3 - -3). Suppose -p + 16 = 3*u, -10*p + 48 = -7*p - 4*u. Calculate the smallest common multiple of (1/2)/(y/24) and p.
16
Suppose 66 = -9*j + 192. Suppose 90 = j*l - 9*l. What is the least common multiple of l and 18?
18
Let w = 15271/85152 - 2/887. Find the common denominator of 31/48 and w.
96
Let j(r) = -469*r - 2778. What is the lowest common multiple of j(-6) and 177?
2124
Let x = 96/97 - 5611/1455. Find the common denominator of x and -2/9.
45
Let p be (3/(-6))/((-8)/16) + -1. Suppose -3*l = -p*y + 3*y - 492, -5*l - y + 836 = 0. Calculate the lowest common multiple of 20 and l.
840
Suppose -2*d + 2770 = -5*s, 17*s = 13*s - 2*d - 2234. What is the common denominator of (2/(-112))/((-6)/s) and 101/132?
924
Calculate the common denominator of (1/24)/(169/7852) and 19/(3*2 - (-598)/13).
156
Let w be (3/(-18))/(5/(-30)). Let p be w + (-6)/((-30)/1885). What is the common denominator of (p/248)/((-3)/2) and 63/4?
124
Suppose -2*a = -t - 0*t + 30457, 30448 = -2*a + 4*t. Let s be (-5)/(-150)*a/(-108). Let r = s - -4/81. Find the common denominator of 43/10 and r.
20
Let u = -312562989/920018 + 48385/142. Let v = u + -21/209. Let p = -96/59 - 537/649. Calculate the common denominator of p and v.
341
Calculate the common denominator of 91/7380 and (-14)/(-231) + (-127954)/(-64944) - (3 + -1).
14760
Let t(n) = n**2 + 12*n + 3. Let q be t(-8). Let l(d) = 52*d**2 - 12*d + 10. Let v be l(1). Let w = q + v. Calculate the least common multiple of 9 and w.
63
Let p(o) = o**3 - 8*o**2 - 29*o - 38. Calculate the lowest common multiple of p(11) and 54.
54
Let p = -1214/393 + 210044/94713. Let j = 33367/19762 + p. What is the common denominator of j and 41/12?
492
Let x(h) = 20*h - 268 + 0*h + 117. Calculate the lowest common multiple of x(17) and 24.
1512
Let x be -5 - 8946/(-1809) - (-2)/(-6). Let g = x - -2738/6365. What is the common denominator of g and -23/6?
570
Suppose -5*i + 527 = r, -2*i + 0*r = 4*r - 218. Suppose 0 = 3*f - h - i + 15, 2*h = -2*f + 60. What is the smallest common multiple of 9 and 4*(-4)/(-40)*f?
36
Calculate the common denominator of -27/286 and 21/(-12) + (-45)/156.
286
Calculate the common denominator of 31/6784 and 10 - -14 - (-788260)/(-32648).
47488
Suppose 3*y + 3 = 0, -r - y - 93 = -5*r. Suppose 0 = 2*t - 2*b - 16, -5*t - r + 79 = -b. What is the least common multiple of t and 8?
24
Suppose t - 4*v + 1 - 19 = 0, -3*v + 44 = 5*t. Let f = -32 + 82. What is the smallest common multiple of t and f?
50
Let n(t) = t. Suppose 0 = -5*r + 15, 4*g + 2*r = -3*r + 3027. Suppose g = 7*u + 305. Calculate the lowest common multiple of u and n(2).
64
Let d = 183 + -183. Suppose d = i - 11*i + 330. Calculate the smallest common multiple of i and 207.
2277
Let r(b) = -b**2 + 12*b + 46. Let q be r(15). What is the smallest common multiple of 0 + 3/(q/(8/6)) and 16?
16
Suppose -19239*x = -19217*x - 65758. Calculate the least common multiple of x and 196.
11956
Let z be (-4 - (-55)/10)*2. Suppose 0*h = -z*h + 36. Calculate the smallest common multiple of 308 and h.
924
Let y be (-7)/((-252)/66) - (-2)/12. Suppose y*q = 3*w - 16, 2*q + 9 + 7 = -w. Calculate the smallest common multiple of 9 and (-2)/8 + (-26)/q.
9
Find the common denominator of -65/4864 and (4 + -2 - -2) + -4 + 286/55.
24320
Let a = 348768014307/3860 - 90354407. Let q = a - -19/193. Calculate the common denominator of q and ((-318)/16*1)/(-6).
80
Let i(l) = -l**3 + 20*l**2 - 22*l + 96. Let r be i(19). Suppose -11*n + r = -6*n - 2*t, -5*t = -5*n + 45. What is the lowest common multiple of n and 35?
35
Let p(j) = 2713*j + 16283. Suppose -2*n - m + 21 = -9, -2*n + 30 = -2*m. What is the least common multiple of p(-6) and n?
15
What is the lowest common multiple of -11*(11 + -12)*1 and 550?
550
Let f(x) = 7*x - 39. Let d(a) = 3*a - 19. Let i(b) = -13*d(b) + 6*f(b). Let p be i(3). Calculate the smallest common multiple of 12 and 92/p + 4/(-22).
12
Suppose 3*o - 31 - 1 = -2*h, 4*h = -2*o + 48. What is the least common multiple of 137/((-8768)/768)*(-2)/12 and h?
10
Let y(r) = -2*r - 16. Let t be y(-15). Suppose 2*c - c = t. Calculate the smallest common multiple of (-1 - (-3 - -5)) + 5 and c.
14
Let i(a) = a**2 + 2*a + 452. Calculate the lowest common multiple of (1/2)/(793/156 + -5) and i(0).
1356
Let r be 4/2 - 4 - (-145483)/(-372). Let q = r - -1204/3. Calculate the common denominator of q and -5/64.
64
Let p(c) = c**2 - 11*c + 10. Let l be p(1). Suppose -2*d - 26 = -l*s - s, 35 = s - 5*d. What is the lowest common multiple of s and 1346?
13460
Let d = -3/172 - -466/215. Calculate the common denominator of 79/455 and d.
1820
Let r = 20 + -28. Let v be ((-13)/(-26))/(2/r). Find the common denominator of (v/20)/((12/1130)/1) and -25/8.
24
Let j = -2/6519 - -58879/677976. Let w = 168795/4 + -42224. Calculate the common denominator of j and w.
104
Suppose -3*p - 5*a - 153 = -22, -a - 152 = 4*p. Let t = -9 - p. What is the smallest common multiple of t and 44?
308
Suppose -30 = -4*q + 14. Let p be 4/(-18) + 7*(-472)/36. Let w = p + 106. What is the smallest common multiple of q and w?
154
Let t = 62081/18 - 3447. Calculate the common denominator of -49/1014 and t.
3042
Suppose -8 = -5*i - 3*k + 5, -4 = k. What is the common denominator of 4 - 3 - (-46)/8 and 2*(1675/40)/i?
4
Let p(m) = -3*m**2 + m - 4 + 24 + 0*m**2 + 6*m**2. Let a be p(-11). Let h = a + -1477/4. Calculate the common denominator of h and -14/3.
12
Let b be (148/(-14))/(-2) - (-2)/(-7). Suppose -5*i + 5*p = 240, b*i + 240 = -0*i + 2*p. Let l = i - -61. What is the least common multiple of l and 4?
52
Suppose v = -235*o + 237*o + 2, o = -2*v + 9. Calculate the common denominator of -5 - ((-2)/8)/(v/(-114)) and (1 + 202/14)/(-2).
56
Suppose 78*c + 3*p + 10337 = 83*c, 16 = -4*p. Calculate the lowest common multiple of 1475 and c.
10325
Calculate the common denominator of (-2)/(-4) + (-89)/68 and 1538/(-120) + 3 - 346/(-865).
204
Find the common denominator of ((-414)/(-690))/((-3124)/(-230)) and 9/2272.
24992
Let s be ((-2 + -4)*-9)/((-4)/(-10)). Calculate the common denominator of -74/63 and (160/s)/(-7*8/(-60)).
63
Let s = -13 - -24. Suppose 7*y + 4 - s = 0. What is the common denominator of y/(0 + 1) - 125/(-40) and -34/9?
72
Let x = -11816 + 15875. Calculate the smallest common multiple of 363 and x.
44649
Let l(p) be the second derivative of -5*p**3/6 + 15*p**2/2 - 4*p - 3. What is the least common multiple of 30 and l(-6)?
90
Calculate the lowest common multiple of ((-8)/10)/(3/(-15)) and 12 - (-2 + 1)/(6 - 110/20).
28
Suppose 7049*q - 7032*q - 850 = 0. Calculate the least common multiple of 270 and q.
1350
Suppose 21*h - 14*h = 22*h - 3585. What is the smallest common multiple of h and 3?
717
Let c(n) = 2*n**3 - 5*n**2 + 8*n - 20. What is the smallest common multiple of c(4) and (-11 - -10)*(-60)/1?
60
Calculate the common denominator of -12 + (8908/1275 - -6) and 119/240.
1200
Let y(x) = -25*x**2 + 5*x - 6. Let r be y(5). What is the common denominator of ((-6)/(-40))/(9/r) and (-138)/33 + 4 - (-26824)/(-11704)?
190
Let j be (10/3)/((-2)/(-57)). Suppose 3*u + b + 85 = -18, -3*u = -b + j. Let t = 47 + u. What is the least common multiple of 8 and t?
56
Let b = -6178 - -142043/23. Let j = 18 - 13. Suppose -3*o + 0*o = 3, -134 = -j*i - o. What is the common denominator of i and b?
23
Suppose 4*i = 3*d - 61, 76*i - 14 = -2*d + 72*i. Suppose 18*f - 264 = d*f. What is the smallest common multiple of 40 and f?
440
Let j = 74 + -298. Calculate the common denominator of 11/72 and 9 - 17/j*-124.
504
Let w = 11573 - 138749/12. What is the common denominator of w and (-30)/(-4)*22/(-24)?
24
Suppose 2 = -4*k - 26. Let c(l) = -l**3 - 7*l**2 - 2*l - 2. Calculate the smallest common multiple of c(k) and (-3)/3*(1 - (3 + 3)).
60
Let t = 9850 + -9350. Calculate the smallest common multiple of t and 500.
500
Let f 