.
20
Let r = -14640668/2139 - -184685/23. Let c = r - 7117/6. Calculate the common denominator of -29/7 and c.
434
Let k = -12581 + 21009. What is the smallest common multiple of k and 21?
25284
Suppose -21*c + 87 + 1677 = 0. Calculate the common denominator of -115/24 and ((-32)/(-28) - 1) + (-110)/c.
24
Suppose 2*q = -x - 3*q - 23, -23 = x - 5*q. Let t = -21 - x. Let n = 24 + -14. What is the lowest common multiple of t and n?
10
Let c = 313/77 - 26623/8008. What is the common denominator of 29/130 and c?
520
Let o(m) be the first derivative of -15*m**2/2 - 43*m + 18. Calculate the smallest common multiple of 5/10 + (-3)/(-2) and o(-3).
2
Suppose 0 = -5*v + q + 841 + 5577, 0 = -2*v - 3*q + 2574. Calculate the smallest common multiple of 22 and v.
14124
Suppose 26*d - 368 = 152. What is the least common multiple of d and 28?
140
Let d = 9639/2 + -626409/130. Let x = 3384 + -33897/10. Find the common denominator of d and x.
130
Let b(f) = f**3 - 66*f**2 - 424*f + 8. What is the smallest common multiple of b(72) and 1752?
1752
Suppose 0 = -3*y + 5 + 4. Let j(c) = -7*c + 21. Let f be j(y). Suppose f = n + 3*n - 132. What is the least common multiple of n and 27?
297
Calculate the lowest common multiple of 85 and (3355/5 - 4/(8/6)) + -5.
3315
Find the common denominator of 25/594 and (-4)/(-58) + 18 + (-74392)/5568.
2376
Let c(m) = -m**3 + 13*m**2 + 30*m + 6. Suppose 34 + 41 = 5*q. Let x(y) = y**3 + 6*y**2 - 3*y - 7. What is the least common multiple of c(q) and x(-5)?
66
Find the common denominator of -133/18 and (126247/21045 - 6)*(1 - -63).
5490
Let m(x) = 3*x**2 - 7*x + 9. Suppose t = -4*f - 4*t + 3, 5*f - 5 = -5*t. Let h be m(f). Suppose 73 + 4 = h*l. Calculate the lowest common multiple of 17 and l.
187
Let g = 2/4453 + 360685/17812. Let j(k) = 52*k**2 - 2*k + 1. Let c be j(-2). Calculate the common denominator of g and c/(-8)*3/(-18).
16
Suppose m - 2 + 1 = 0. Let k(u) = -u**3 - 11*u**2 - 13*u - 14. Let j be k(-10). Suppose j = 40*g - 36*g. Calculate the smallest common multiple of m and g.
4
Let r(t) = -39*t + 241. Let b = -700 + 706. What is the lowest common multiple of r(b) and 7 + (2 - 1) + -2?
42
Let n = -152 - -333. Let o = -33 + n. Calculate the lowest common multiple of 16 and o.
592
Let k be (1 - -3) + (-5 - -3). Let o be k/13 + (-2232)/312. Let d = 1 - o. What is the least common multiple of d and 6?
24
Suppose 14*d - 5009 + 13129 = 0. Let h = 677 + d. Calculate the smallest common multiple of h and 5.
485
Let y(o) = -o**3 + 4*o**2 + 3*o + 37. Let z be y(-7). Let s = z - 10001/18. Find the common denominator of (-1)/3 + (-106)/(-60) and s.
90
Find the common denominator of -53/1589 and (-125)/175 - (-113310)/157311.
17479
Suppose -48*s = -22*s + 13*s - 30888. Calculate the least common multiple of 252 and s.
5544
Let x = 61 + -25. Suppose 24*y = 21*y + x. Suppose -y = 2*u - 44. Calculate the smallest common multiple of 6 and u.
48
Suppose 0 = 4*q + 4*u - 4656, -1157*q + 1156*q = -5*u - 1182. Calculate the least common multiple of q and 3112.
9336
Suppose -63*d + 48 = g - 60*d, -3*d = -4*g + 177. What is the least common multiple of 1680 and g?
5040
Let r(h) = h**2 + 28*h - 118. What is the least common multiple of 2 and r(4)?
10
What is the common denominator of 1 + -7*(-68)/(-144) and (-9836)/800 - (-40)/(-500)?
72
Let a be ((-609)/42)/(3 + 110/(-36)). Let x = a + -253. Calculate the least common multiple of 39 and x.
312
Suppose 3*d + 26715 = 4*k, -374*d + 33324 = 5*k - 370*d. Calculate the lowest common multiple of 22 and k.
73392
Let b be (-42)/4*(-24)/9. Suppose 0 = 27*m - 15*m - 36. Calculate the least common multiple of 24 and m/7 + 744/b.
216
Let u(s) = 59*s**2 - 14*s + 8. Let m be u(4). Let k = m + -776. What is the smallest common multiple of 140 and k?
840
Let f = 165 + -157. Suppose 6*o - 8 = 4*o. Let y(q) = 5*q**2 + q - 13. What is the smallest common multiple of f and y(o)?
568
Find the common denominator of (-2)/570*(1764/(-8) - 2) and 13/24.
456
Suppose 3*y - 3*h = 4128, -4141 + 13 = -3*y - 3*h. What is the smallest common multiple of y and 24?
4128
Let l = 570 - 117. Let a = 466 - l. Suppose -2*x - x = -18. Calculate the smallest common multiple of x and a.
78
Let g(z) = -z**3 + 9*z**2 - 10*z + 15. Let p be g(6). Suppose -5*w + 117 = 3*x, -3*w + 12 = 3*x - p. What is the least common multiple of w and 15?
105
Suppose 12*t = 36 - 228. Calculate the common denominator of -67/66 and (t/704)/(15/786).
330
Let g = -37628228756/10637108955 - -8125/1476351. Let j = g - 2/1441. What is the common denominator of j and 133/48?
240
Let m = 2926 + -2756. What is the least common multiple of m and 170?
170
Suppose 5*v + 4*w + 41 = 15, -17 = 3*v + w. Calculate the common denominator of 461/66 + 4 + v/(-33) and 1*(-2)/(-20)*-9.
30
Suppose 4*z - 4*n - 81 = 3*z, 0 = -5*z + 5*n + 390. Let g = z - 58. Suppose -g*f - 80 = -24*f. What is the smallest common multiple of f and 8?
16
Let p = 47 - -12. Let f = 63 - p. Suppose f*r - 2*k - 82 = 0, 2*r - 6*r - 4*k = -76. Calculate the smallest common multiple of r and 264.
1320
Let i(p) = -9*p + 39. Suppose -3*t - 59 = 49. Let o = -24 - t. What is the smallest common multiple of o and i(3)?
12
Suppose -1 = -n, -3*n = 2*b + 61 + 26. Find the common denominator of -57/8 and ((-6)/b)/((-11)/((-5346)/12)).
40
Let b(f) = 7*f - 31. Let o be b(4). What is the common denominator of (-16)/12 - o - (-257)/(-84) and 119/12?
84
Let t be 11/4*(-410)/30 - -3. Let v = t - -121/4. Calculate the common denominator of v and 79/8.
24
Suppose 71 = 3*w + 107. What is the least common multiple of 78 and ((-70)/84 + 2/w)*-169?
1014
Let z = 68143993/432 - 157741. What is the common denominator of z and 43/216?
432
Let w = 32231 + -28592. Calculate the smallest common multiple of 15 and w.
18195
Let r(o) = 6*o + 39. Suppose 3*c - 5*z - 18 = 0, 5*c + 14*z - 13*z = 58. What is the lowest common multiple of c and r(-6)?
33
Suppose 0 = 2*z + 5*k + 98, -k - 114 = -4*z + 6*z. Let u = z - -3. Let c = u - -86. Calculate the lowest common multiple of c and 18.
90
Suppose 0 = 13*u - 15*u - 800. Let l = 10286 - 185003/18. Calculate the common denominator of (-4)/(-18)*9060/u and l.
90
Let j = -514 - -519. Suppose 5*y - 89 = -3*a, 7*a - 92 = -j*y + 3*a. What is the smallest common multiple of y and 44?
176
Suppose -5*u - 20*t + 17*t - 185 = 0, -3*u - 127 = 5*t. Find the common denominator of u and -53/1562.
1562
Let y(o) be the second derivative of 37*o**4/12 - 2*o**3/3 + 5*o**2/2 + 3*o + 3. Calculate the least common multiple of 18 and y(-3).
3150
Let d(i) = 29*i**2 - 40*i + 11. Let k(b) = 43*b**2 - 60*b + 16. Let t(c) = -7*d(c) + 5*k(c). Calculate the least common multiple of 10 and t(2).
110
Let g = 1/88548 + -464879/177096. Let n = -40171/15 + 2683. Calculate the common denominator of g and n.
120
Suppose -5*h + 476 = 196. Suppose -2375*w + 5*i - 25 = -2380*w, 2*i = -5*w + 34. Calculate the smallest common multiple of w and h.
56
Suppose 188*v - 198*v = 40. Let d = 3/97 + -4183/388. Find the common denominator of d and v + ((-121)/56)/(-1).
56
Let j = -49/72 - -5/9. Let f = -1025 + -593. Let x = -4811/3 - f. What is the common denominator of x and j?
24
Find the common denominator of ((-44)/18 + 2)*180/(-384) and -145/156.
312
Let j = -25209/1705 + 442/31. Find the common denominator of (-1585)/1200 + (-4)/(-12) and j.
880
Let d = -5450254769 + 107615280318726/19745. Let x = 4/1795 + d. Calculate the common denominator of x and -40/11.
11
Suppose 51*f = -1021 + 1633. Suppose -s - 2*s + 36 = 0. What is the smallest common multiple of s and f?
12
Let o = -15927 - -509761/32. Calculate the common denominator of 51/(-578)*102/(-16) and o.
32
What is the common denominator of (-2)/(-342)*((-132)/(-8))/(-1) and 53/323?
1938
Let p(f) = -48*f**3 + 516*f**2 - 22*f + 12. What is the least common multiple of p(10) and 4?
3392
Find the common denominator of ((-9)/(585/(-56)))/(((-1458)/15)/3) and 20/117.
1053
Let s(m) = -4*m - 7. Let v be (94/18 - 3) + (-6)/27. Let c be s(v). Calculate the common denominator of -111/10 and c/(-8) + ((-2)/2 - -3).
40
Let h = -249688205/1683 + 148359. What is the common denominator of h and 14/9?
1683
Let d = -911/473 + 204/43. Calculate the common denominator of d and (-23)/(-6) - -3 - -2.
66
Let