Suppose 60*t - 35*t = -21*t + 12696. Calculate the lowest common multiple of 1104 and t.
1104
Let h = -233956780773074363/22208024323440 + 14146223/164888624. Let s = h - -2/26937. Let r = -10526 - s. Find the common denominator of r and 125/6.
30
Let v(o) = o**3 + 19*o**2 - 41*o - 683. Suppose 3*l - 52 = 3*i + i, -5*l + 2*i = -110. Calculate the lowest common multiple of v(-19) and l.
96
Let q(i) = 352*i - 6 + 23*i**2 - 353*i - 8. What is the smallest common multiple of 80 and q(-2)?
80
Let f be 0/(2 - (3 - -1)) - -13. What is the common denominator of (-419)/780 + 2/f and -10/3?
60
Suppose -4*n + 4*f + 1238 + 186 = 0, 3*n - 2*f = 1070. Let u = n + -351. What is the lowest common multiple of (-22)/(-3) + (-1)/3 and u?
7
Suppose 3414 = 14*r - 4426. What is the lowest common multiple of r and 112?
560
Let t = 1/51693 + -551809/21555981. Find the common denominator of t and -7/834.
2502
Let c be 2 - ((-4)/(-2))/(-2). Suppose -43 = 2*w - c. Calculate the common denominator of 71/16 and ((-534)/(-16))/((-45)/w*3).
144
Let o = 65788104940781/291176835760 + -39/338577716. Let m = o + -9660/43. Let p = 197/63 - -2803/252. Calculate the common denominator of m and p.
80
Let d(v) = 3*v + 412. What is the smallest common multiple of d(11) and 5?
445
Let m = 8546787923/2448 + -3491335. Find the common denominator of 35/272 and m.
2448
Let n = -3308 - -3396. What is the least common multiple of 7/((-63)/30)*-3 and n?
440
Let t = -4604 + 8010. Let x = -126 - -122. Find the common denominator of t/3003 + (0 - x/(-14)) and -53/30.
330
Let j be 133/1190*533/21. Let k = -2/595 + j. What is the common denominator of 13/60 and k?
60
Calculate the smallest common multiple of 8 and (1 + -235 + (-306)/(-51))*2/(-6).
152
Let h = -3/8296 - -526823/74664. Let z = -1625993/76818 - -2/12803. Find the common denominator of z and h.
18
Let d(y) = -y**3 - 13*y**2 - 12*y + 17. Let l be d(-12). Let s = l - 135. Find the common denominator of 101/22 and s/(-92) - 14/7.
506
Let z be (-2)/9 + 0 + (-48)/27. Let d be (-1 + z + 6)*-155. Calculate the common denominator of ((0 - -2) + 0)/(700/d) and 93/14.
70
What is the lowest common multiple of 9364 and (-29)/((-4930)/68)*(-1 - -11)?
9364
Let s = 205189/45 - 4560. Calculate the common denominator of 3/(-6) + 3395/(-350) and s.
45
Suppose 76 = -z + 209. Let x = z + -130. What is the common denominator of 59/52 and (-8)/(528/(-189)) - x?
572
Suppose -4*g + 205 = -3*o + 195, -5*g = -20. Calculate the lowest common multiple of 702 and o.
702
Suppose -p - 26 = 32. Let h = p - -57. Let c(x) = 7*x + 8. What is the least common multiple of 5 and c(h)?
5
Let s(r) = 17*r**2 + 67*r - 10. What is the lowest common multiple of s(-5) and 110?
880
What is the common denominator of -145/18 and 7 + (-1318256)/62784 + 14?
3924
Let o be 2/5 - (-23793172)/(-3330). Let t = -839901667/17316 - o. Let f = -41358 - t. Calculate the common denominator of -57/2 and f.
52
Suppose 2*r + 149 = 4*m + 2057, r + 6*m = 946. Calculate the smallest common multiple of r and 78.
37128
Let v(m) = m**3 + 14*m - 31. Let i be v(-8). What is the smallest common multiple of -2*(-6)/(-32) + i/(-40) and 60?
240
Find the common denominator of -147*(-7 - (-10864)/1554) and (3 - 2)/((-2)/66).
37
Let t be (-2)/(-6) - 15/(-9). Suppose t*u + 4290 = -q, -4*q = -2*u + u + 17124. Let a = 171357/40 + q. What is the common denominator of a and -109/28?
280
Let n = 14461/26 - 17989185/32344. Let h = n - -56789/181624. Find the common denominator of 65/9 and h.
1314
Let z be 737/(-726) + (-2)/(-6). Let h = 525/44 + z. Let g = 3004/387 - -15/43. What is the common denominator of g and h?
36
Let b = -12906 - -25320. Let m be (3/(-2))/((-18)/b). Let w = 1063 - m. What is the common denominator of -59/6 and w?
6
Find the common denominator of (-22 - -31) + ((-1939)/(-18))/(-7) and -29/249.
1494
Let s(l) = l**3 + 21*l**2 + 18*l - 30. Let m be s(-20). Suppose 0 = -2*j + 13*d - m*d + 45, -75 = -4*j + 3*d. What is the lowest common multiple of j and 24?
120
Let x(l) = -4*l**3 + 7*l**2 - 4*l + 19. Let y be x(5). Find the common denominator of y/84 - 16/48 and -33/4.
28
Let d = 401 - 189. Let t = 6551/90 + -668/9. What is the common denominator of t and (d/6)/(-3*2)?
90
Let s(d) = d + 6. Let w(u) = 9*u**2 + 5*u + 5. Let y be w(-7). Let l = 441 - y. Calculate the least common multiple of l and s(0).
30
Let g(s) = 10*s + 20. Suppose -2*z = -0*z - 32. Let w(n) = -2*n - 4. Let q(d) = z*w(d) + 3*g(d). Calculate the least common multiple of 3 and q(-4).
12
Calculate the least common multiple of ((-2)/(-8) + 338/(-8))*(-22997)/1131 and 35.
4270
Suppose -36 = 47*m - 190 - 128. What is the lowest common multiple of m and 2009?
12054
Suppose -4*u = -2 - 10, -2*u + 12 = -2*o. What is the common denominator of 4 - (-10 + (-7 - o)) and 42/9*(-6 + (-812)/(-136))?
51
Let w = -145 + 209. Let g = 81 - w. Let k(y) = -y**3 + 18*y**2 - 18*y + 33. What is the least common multiple of k(g) and 32?
32
Let i = 607 + -275. Calculate the common denominator of -19/40 and i/1260 + (-2)/(-21)*-3.
360
Let f = -2/157627 + -21910069/6620334. Let w = -189625/21 + 9032. Calculate the common denominator of w and f.
42
Let g(s) = -64*s + 1. Let o be g(1). Let z = -13 - o. Suppose -z = 26*w - 31*w. What is the smallest common multiple of w and 4?
20
Let l(p) = 5*p - 79. Let s be l(17). Suppose s*n = -2375 - 1057. Find the common denominator of n/77 + 2/(-3) + 4 and 95/12.
84
Let g(q) = -q**3 - 2*q**2 - 11*q - 11. Let v be g(9). Find the common denominator of (v/(-220))/((-6)/5*-2) and -1/8.
48
Suppose 5*k - 2543 = k - 5*s, 1902 = 3*k + 2*s. What is the smallest common multiple of 632 and k?
632
Find the common denominator of -89/352 and (-5971)/18480 + ((-50)/75)/(5/(-3)).
5280
Suppose 4*k + 4*p - 12 = 0, -2*k - 5*p - 3 = 6. Suppose 3*g - 32 = 3*a + 2*a, -4*g + k = 2*a. Calculate the lowest common multiple of 36 and g.
36
Let j be (4550/(-21) + -6)/((-4)/6). Let h = -330 + j. What is the lowest common multiple of h and 83?
332
Let s = -25538 + 14657. Let m = 195745/18 + s. Calculate the common denominator of 67/68 and m.
612
Let y = -114 + 112. Let q = -8 + 32. What is the smallest common multiple of q and y - (-40)/((-10)/(-5))?
72
Let n(j) = 41*j**2 - 267*j - 2838. What is the lowest common multiple of n(-11) and 920?
10120
Calculate the common denominator of 7995/3510 + 2/(36/2) and -1/765.
1530
Suppose 4*l + 7 - 35 = 0. Suppose 0 = -l*t - 4550 - 210. Find the common denominator of 61/9 and ((-6)/(-16))/(2/t*-6).
36
Suppose -55*z = -58*z + 690. Suppose 11*b = 34*b - z. Suppose 4*a = -0*a + 88. What is the smallest common multiple of a and b?
110
Let f(t) be the third derivative of -t**4/3 + t**3/3 - 68*t**2. Let s be 0 + -3 - -4 - (2 + 1). What is the lowest common multiple of 18 and f(s)?
18
Suppose 0 = 2*o - 375 - 29. Let n be (-24)/64 - o/16. Let g = -3 - n. What is the lowest common multiple of g and 1?
10
Let m(z) = -z**3 + 21*z**2 + z - 16. Let f be m(21). Suppose -10*a + f = -85. What is the smallest common multiple of 111 and a?
333
Suppose 4*x - 1290 = -358. Let s = x - 229. What is the lowest common multiple of s and 156?
156
Let i(r) = r**3 + 7*r**2 + 7*r. Let a be (-63)/21 - (-1*1 - -1). Let t be i(a). Find the common denominator of -3/14 and -2 + 36/t + (-1342)/(-120).
84
Let z = -3763 - -3815. Calculate the least common multiple of (-2 - 18)*(-2 - -1) and z.
260
Let k = 4483 - 932445/208. Find the common denominator of 41/88 and k.
2288
Let o be 11/(-308)*-4 - (-1552)/(-35). Let j = -677/10 - o. Calculate the common denominator of j and 10/117.
234
Suppose 0 = -217*t + 73225 + 10320. Calculate the lowest common multiple of t and 4235.
4235
Let b = -11774 + 11984. What is the lowest common multiple of b and 30?
210
Let k = 287 - 245. Let s(u) = u + 46. What is the smallest common multiple of 40 and s(k)?
440
Let v be ((-8)/(-32))/((-2)/(-104)). Suppose 9*n + 132 = v*n. Calculate the smallest common multiple of 24 and n/(0 + 3) + 4.
120
Let h be (24/14)/((-5)/35). Let g be ((-3)/(-2))/(h/80). What is the common denominator of -37/15 and 2668/(-240) + (-2)/g?
60
Suppose 4*m = -3*q + 57, -q = -11*m + 9*m + 41. Let s(u) = u**3 + 5*u**2 - 7*u + 10. Calculate the least common multiple of s(-5) and m.
90
What is the com