
Let h(u) = -1212*u - 27870. Suppose -4*v = -v - 42. What is the least common multiple of h(-23) and v?
42
Let i = -227251 + 184527731/812. What is the common denominator of i and -19/16?
3248
Let k(t) = -23*t + 26. Let m be k(4). What is the common denominator of m/(-16)*(-63)/(-27) and -13/22?
88
Let j = -16404 + 492199/30. Calculate the common denominator of -44/1665 and j.
3330
Let s = -23348 - -23364. What is the lowest common multiple of s and 3166?
25328
What is the common denominator of 20/3 and (-39419)/2319 - 1547/(-91)?
2319
Suppose 4*m - 76 = -196. Let y = m - -32. Calculate the common denominator of ((-46)/(-12))/((-2)/(-9)) - y and -89/16.
16
Let r = -1/3971 - 134939/297825. Calculate the common denominator of 9560/12000 - (-3)/((-18)/4) and r.
300
Calculate the common denominator of 61/999 and (-21)/(-6)*-2 + (-1886)/(-258).
42957
Let k = -76145906/255 + 298611. Find the common denominator of k and 49/255.
255
Calculate the smallest common multiple of (2079/495)/((-11)/(-10) + -1) and 140.
420
Calculate the lowest common multiple of 90 and (-36)/(-27)*-6*(-255)/12.
1530
Suppose -5*f = 4*u + 6, -3*u - 3 - 17 = -4*f. What is the common denominator of 73/57 and (49/12 + -7 + f)*-10?
114
Let j(t) = -3 - 8*t - 3*t + 8*t - 2*t. Let y be j(7). Calculate the common denominator of 17/28 and -3*y/(-8)*2.
28
Let y = 2 - 0. Suppose 2*q = -2*p + 6, 3*q - y*p - 3 = -7*p. What is the lowest common multiple of (-6)/((-5)/(-6)*40/(-50)) and q?
18
Calculate the lowest common multiple of 80/(-36)*549/(-122) and 84.
420
Let j = 3/3458 + -174689/69160. Calculate the common denominator of j and 55/22*(-74)/52 - -2.
520
Let m = 529879/12 - 44161. Calculate the common denominator of m and -111/24770.
148620
Let x = -8877 - -230783/26. Find the common denominator of x and (5/15)/(10/(-21)).
130
Let w(d) = -4*d + 11. Let o be w(2). What is the smallest common multiple of 12 and o/3 + (14 - -1)?
48
Let l = -34991/8 - -4384. Calculate the common denominator of l and 35/16.
16
What is the common denominator of 27/76 and 4/(720/803) - (-2240)/(-2016)?
380
Suppose -9 = 2*z - 17. Find the common denominator of ((z - -2)/(55/(-9)))/2 and -13/30.
330
Suppose 11*t + 626 = -1915. What is the common denominator of 6 + (-1 - 2) + t/49 and -37/26?
182
Let f be (-4)/(-20) - (-3 - 33/(-15)). Calculate the smallest common multiple of -1*(f + 1) + (-2331)/(-63) and 10.
70
Suppose 94*t - 236800 = 74*t. Let g = -1574666/133 + t. What is the common denominator of -71/171 and g?
1197
Suppose 0 = 2*t + 12 + 70. Let w = -28 - t. Suppose 2*l - m + w = 3*l, 0 = -4*l - 3*m + 48. Calculate the smallest common multiple of l and 24.
72
Calculate the common denominator of (-1090)/(-75)*(1309/(-660) - -2) and -143/6.
450
Let a(c) = c**2 + 4*c - 16. Let o(i) be the first derivative of -4*i**2 + 17*i - 23. Let b be o(3). What is the lowest common multiple of a(b) and 10?
10
Suppose 13*g - 366 = 440. Let u = -17 - -26. What is the least common multiple of u and g?
558
Let f = -33 + 7. Let y = -29 - f. Find the common denominator of y - (1/(-12))/(6/244) and -103/22.
198
Let u = -6917/1860 + 32/465. Calculate the common denominator of u and (35/42)/((-1)/(102/28)).
140
Let u(p) = -2*p**3 - p**2 + 4*p. What is the lowest common multiple of u(-3) and (-58)/20 + (-35)/(-14) - 274/(-10)?
297
Let s(g) = 6*g**2 - 84*g - 6. Calculate the lowest common multiple of 4371 and s(16).
8742
Let y = 4/3565 + 24571/342240. Let k = -3015 - -21162/7. Let n = -313/14 - k. Calculate the common denominator of y and n.
96
Let g(x) = x**3 + 58*x**2 - 58*x + 1047. What is the lowest common multiple of 38 and g(-59)?
988
Suppose 0 = -r + 2*p + 4, 6 = -2*r - p + 4. Suppose 528*y - 521*y - 833 = r. What is the least common multiple of 5 and y?
595
Let h be 29441/(804*35*1). Let k = h + 156/335. What is the common denominator of 68/27 and k?
756
Let x(s) = s**2 + 16*s - 46. Let m be x(5). Suppose -m = -3*c + 1843. What is the smallest common multiple of 10 and c?
3170
Let w(h) = -93*h + 13080. What is the smallest common multiple of w(140) and 4278?
42780
Let s(p) = 2*p**2 + p - 44. Let j be s(-7). Suppose 10*k - j = 5*k - 2*i, 35 = 4*k - i. Calculate the lowest common multiple of k and 114.
342
Calculate the common denominator of -69/8 and (-5)/2280*(316/(-176) - (0 + -3)).
20064
Let b(t) = 62*t**3 + t**2 - 9*t + 6. Let l be b(7). Let q = l - 467785/22. What is the common denominator of -143/6 and q?
66
What is the common denominator of 4/432*24/45*84 and 2/825?
7425
Let q be (-1)/(-27)*6 - (-86)/18. Suppose 4*k - 2*k = -2*r, q*k = 5*r - 50. Calculate the least common multiple of 13 and r.
65
Let z(h) = h**3 - 31*h**2 - 34*h + 65. Let p be z(32). Let x(w) = w + 3. Calculate the least common multiple of x(p) and 136.
136
Let b = -14086 + 422719/30. Let g = 9/5 - b. Let y = 17/3 + g. Calculate the common denominator of 49/18 and y.
18
Let c be (-13941)/1398 + 6 + 4. Let d = -7695/3961 - c. Find the common denominator of (-71)/(-5)*15/42 and d.
238
Calculate the common denominator of 127/12 and 5 + (0 - 78/18) - (-6189)/(-8190).
5460
Let y(q) = -105*q**2 - 3*q - 17. Let f be y(4). Let v = -971 - f. Calculate the lowest common multiple of v and 14.
5166
Let g = 85661/75204 + -1/6267. What is the common denominator of (-2)/6*(-410)/(-25) and g?
180
Let y = 78113944005 - 37067722304534215/474534. Let g = y + -1/11574. Calculate the common denominator of -61/21 and g.
861
Calculate the common denominator of 17/209 and 1/(9006/2*(8712/(-459) + 19)).
16511
Let v = -179994 + 180027. Let c(t) = -t + 33. Calculate the lowest common multiple of v and c(0).
33
Let p = -12011 + 12651. What is the smallest common multiple of p and 448?
4480
What is the lowest common multiple of (-7529)/(-3) - (-5)/15 - (4 - -1) and 30?
5010
Let k = 149/21 + -9799/1680. Find the common denominator of -69/328 and k.
3280
Calculate the common denominator of (-40)/(-72) + -1 - ((-2270065)/268200 - -8) and 109/4172.
41720
What is the common denominator of ((-5)/((-60)/11094))/(8811/57) + -6 and 49/30?
29370
Let l be 8/14 - 3*876/(-180). Let i = 88/7 - l. Let a = -21367/6572 + 2/1643. Calculate the common denominator of i and a.
20
Let a = 3577 - 429109/120. Calculate the common denominator of a and 59/20.
120
Let h = 2 + 8. Let t(k) = -8*k + 5. Let i be t(1). Calculate the smallest common multiple of 6 - (i - -9) - -10 and h.
10
Let l be (65/(-4))/((-4872)/13264671938). Let i = l + -44242797. Let r = -52/87 - i. What is the common denominator of -67/2 and r?
16
Find the common denominator of ((-12608)/25)/(16840/(-100)) - 3 and -29/2526.
12630
Let l(r) = -2*r - 3. Calculate the lowest common multiple of (2 + 6 + 2)*(-3 - -8) and l(-4).
50
Let a = 16 - 0. Suppose 146*z - 12572 + 1768 = 0. What is the least common multiple of z and a?
592
Suppose -4376 + 886 = -5*t - 5*j, -3*t = 4*j - 2092. Calculate the smallest common multiple of 70 and t.
700
Let j = 1503676/95 + -15828. What is the common denominator of j and -8/171?
855
Let z = -6408097/60 - -106804. What is the common denominator of z and 47/12?
60
Let q(p) = 17*p - 38. Let u be q(11). Let l = u - 55. Suppose -4*z + t = -6*z + 34, -5*z + l = -2*t. What is the lowest common multiple of z and 21?
126
Let t be (-71659)/24 + 1/6*-2. Let i = 2995 + t. Let c = 1705 + -13597/8. Find the common denominator of c and i.
8
Let c be (-28)/182*3/974. Let l = 69641/1779926 + 346225374223/371867479698. Let f = c + l. What is the common denominator of f and -34/3?
33
Suppose -56 = -4*r - 0*r. Suppose -10*q + 3780 = -6*q. What is the common denominator of 137/30 and 4/r - (-4707)/q?
30
Let d = 132 + -127. What is the common denominator of (-2)/d - (-4047)/1330 and -31/22?
154
Let g be 472/18 + 4/(-18). Find the common denominator of (g/(-12) - -2)/((-8)/(-172)) and -97/76.
228
Calculate the smallest common multiple of 1515/(-2)*(-144)/108 and 190.
19190
Let s = 13/378 + -104257/3064446. Let r = -162118028703427209/162140 - -999864491813. Let u = r - s. What is the common denominator of -99/98 and u?
980
Suppose -f - 9 = -3*h, -6*f + 4*f - 8 = -h. Let p = 7 - f. Suppose p = 3*v + 2*v. What is the smallest common multiple of v and 6?
6
Suppose 24 = 3*k - 3*j, 2*j - 10 = -3*j. Let n = k + -5. Suppose 4*m + 30 = 4