 7.
28
Let q = -907 - -57140/63. Calculate the common denominator of q and 43/99.
693
Suppose 0*x - 20 = -10*x. What is the common denominator of (-4)/(320/(-172)) + x/4 and 25/8?
40
Let g = -46 - -50. Suppose 5*i + 7*n = 11*n + 15, 0 = g*i - 3*n - 12. What is the least common multiple of i and 10?
30
Suppose 0 = 5*g - 25, 34*z - 2*g - 310 = 30*z. What is the lowest common multiple of z and 110?
880
Let d = -391 - -433. What is the lowest common multiple of d and 35?
210
Let c be 8/(-2) + -51 + -1. Let p = c + 78. Calculate the lowest common multiple of p and 8.
88
Let h = 437687 - 115549223/264. What is the common denominator of h and 53/16?
528
Let u = 316 + -558. Let o = u - -165. Calculate the common denominator of -45/22 and (-11)/o*1274/(-12).
66
Let r = 4489/3 + -2182. Let p = r - -697. Let b = 51124/9 - 5687. What is the common denominator of p and b?
9
Let o = -353 - -361. Calculate the least common multiple of o and 63.
504
Let d be (-18)/(-6) + -78 + 0. Let k be 5/(d/12)*5. Calculate the common denominator of (-7)/10*(-5)/k and -31/16.
16
Let g = 5/89 + 301/979. Calculate the common denominator of g and -27/4.
44
Suppose 3*u - 3 - 3 = 0. Find the common denominator of (-3)/4*(-35)/3 and (u/(-30))/(6/2055).
12
Suppose 2*h + 2*h - 5*r + 7 = 0, -2*h = -4*r + 8. Calculate the common denominator of -17/4 and (-2231)/322 + h/2.
28
Let y(h) = -2*h + h - 2*h + 7. Let f be y(11). Calculate the common denominator of 12/7 and 2/56*-2*f.
7
Suppose 16 = p + 2. Calculate the common denominator of 0 + 228/16 - (1 - -3) and (p/24)/1 + -2.
12
Let r = -163 - -309. Calculate the smallest common multiple of 6 and r.
438
Suppose 4*h + 20 = m, -m + 3*h + 15 = m. Suppose m + 2 = -t. What is the common denominator of 41/8 and 27/(-6) + 2/t?
8
Let c = -31 - -124. Calculate the smallest common multiple of 33 and c.
1023
What is the common denominator of 5/(-9) - 16/(-28) and 67/180?
1260
Suppose 3*m + m - 176 = 3*f, 0 = 3*f + 3*m + 141. Let l = f + 65. Calculate the smallest common multiple of l and 8.
104
Let v be (8301/72 - -3) + 3. Let g = 685/6 - v. Find the common denominator of g and (((-174)/(-4))/1)/(-2).
8
Suppose 4*i + 18 = k, 3*i + 2*k = -11 + 3. Let t = i + 5. Calculate the least common multiple of t and 8.
8
Suppose 30*w + 12 = 33*w - p, -6 = -3*w + 3*p. Let y = -20 - -34. Calculate the smallest common multiple of w and y.
70
Let m(c) = c**3 + 4*c**2 + 3*c - 2. Let g be m(-3). What is the common denominator of (g/10)/(3/(-102)) and (-303)/(-4)*8/24?
20
Let x = 2 - -7. Let l = 15 - x. Suppose 13*f - 18*f = -10. Calculate the least common multiple of f and l.
6
Suppose -2*z = -6, 0 = 5*j - 4*z + 2*z + 16. Calculate the common denominator of 150/(-14)*12*4/96 and (-2218)/(-180) + j/9.
70
Calculate the common denominator of 107/84 and ((-9)/27)/((-20)/284 - -1).
2772
Calculate the common denominator of -11/5 and (-4)/((-64)/(-6)) + 26/(-78).
120
Let p be ((-91)/(-208))/((-2)/46). Let d = -937/80 - p. Calculate the common denominator of 2/1*67/(-36) and d.
180
Suppose -66 = -3*o + 2*i + 118, 3*o + 4*i - 172 = 0. Calculate the least common multiple of 48 and o.
240
What is the common denominator of 71/114 and 3 + (-2115)/770 - (-30)/70?
1254
Let s be -1 - -2 - (-8487)/6. Suppose -m + 573 = -2*c + 3329, 2*c - 2756 = 4*m. Let t = s - c. What is the common denominator of 39/4 and t?
4
Let b = -552 - -759. What is the smallest common multiple of 138 and b?
414
Let o be -1 - (-2152)/1079 - 1. Let w be -54*(-100185)/(-755300) + 1/(-5). Let c = w - o. Calculate the common denominator of c and 11/6.
42
Let x = 104088 - 10929152/105. Find the common denominator of -61/3 and x.
105
Suppose 2*q + 54 = -2*d + 7*q, -q = -2. Calculate the common denominator of ((-50)/16)/(39/(-117)) and d.
8
Calculate the common denominator of -37/33 and (18/(-6) + 70/(-9))/(-2).
198
Let y = 1125005817788/8280365 - 3232171811874265583/23751504954672. Let j = y - -850961/3795. Let z = -2/1181 + j. Find the common denominator of -35/6 and z.
48
Let a(z) = -z**3 - 33*z**2 + 39*z + 191. Calculate the least common multiple of a(-34) and 468.
3276
Let u = 111 - 90. What is the lowest common multiple of 6 and u?
42
Calculate the common denominator of 166/28 - (11 + -7) and 0 + -3 - (-333)/102.
238
Suppose -14*g - 8 = -18*g. Suppose 16 = 4*y, -g*k + y + 17 = -23. Calculate the smallest common multiple of k and 12.
132
Suppose -641 - 115 = -12*q. Let t = q + -47. What is the least common multiple of t and 68?
272
Let u(t) = -t**3 - 6*t**2 - 2. Let p be u(-6). Let b be 30770/12 - (p + 0). Let z = b + -2555. Calculate the common denominator of z and 143/6.
6
Let b(s) = -s**3 + 9*s**2 - 8*s. Let q be b(10). Calculate the lowest common multiple of 5 and (-780)/q + ((-1)/(-3))/(-1).
20
Let x = -10561/30060 + 2/1503. What is the common denominator of x and (33/154)/(12/609)?
40
Suppose 68*v = 64*v + 8. Calculate the smallest common multiple of v and 94.
94
Suppose -v + 5*v = 48. Calculate the least common multiple of v and (-110)/(-6)*(-10 - (6 + -22)).
660
Let g be 0/(1/1)*-1. Suppose -i + 17 = -2*b - 2*i, g = b - 3*i + 12. Let m(v) = -v**3 - 9*v**2 - v + 9. What is the lowest common multiple of m(b) and 14?
126
Let t(h) be the third derivative of 0*h - 1/120*h**6 + 3*h**2 + 0 + 1/12*h**4 + 1/5*h**5 - 3*h**3. Calculate the lowest common multiple of 8 and t(12).
24
Let b = 12527/624 + -297/16. What is the common denominator of -16/37 and b?
1443
Let z = -147 - -247. Calculate the smallest common multiple of z and 60.
300
Let i = -3638 - -32681/9. Let u = 4/1101 + -1879/12111. Find the common denominator of u and i.
99
Let v = 2099/20 + -105. Let h = -266/15 - -3019/210. What is the common denominator of v and h?
140
Let v be -423 - -3*(3 + -4). Let w be v/105*(-25)/(-20). Let b = -297/7 + w. What is the common denominator of b and -85/14?
14
Suppose 0 = 5*n - 18 - 12. Let a = n + 20. What is the common denominator of (-4)/a + 287/(-78) and 3/2?
6
Let o be (4/624)/(2/82678). Let v = o - 265. Let g = v + -1399/780. What is the common denominator of g and 79/10?
10
Let q(h) be the third derivative of 179*h**4/8 + 5*h**3/6 + 8*h**2. Let l be q(3). Let w = l + -6499/4. Find the common denominator of -7/12 and w.
12
Let f be (-2)/(-5*(-14)/45885). Let b = 4779985/8 - 598811. Let o = f - b. Find the common denominator of 31/5 and o.
40
Calculate the common denominator of 59/129 and (-142)/(-32) - (-2)/72*-9.
2064
Suppose -5*k - 2*k + 350 = 0. Let d = -7 - -7. Suppose d = 3*c - 8*c + k. What is the lowest common multiple of 7 and c?
70
Let b = 77379 - 5880889/76. Calculate the common denominator of -39/14 and b.
532
Suppose -2 = -g + 2. Suppose 4*y - 2 = g*u - 3*u, 3*u = -2*y - 6. What is the common denominator of 103/14 and (28/44)/((-4)/u)?
154
Suppose 3*k - 10 = -2*t + 15, -k = -t. Suppose -5*v + 0*j = -t*j + 160, -v + 3*j = 26. What is the common denominator of v and 158/(-16) - 1/(-4)?
8
Suppose -88 = 4*g - 32. Let s = 34 + g. What is the common denominator of (2/(-3))/(s/(-318)) and 101/8?
40
Let l = 19 + -15. Find the common denominator of ((-101)/l)/((-39)/26) and (-18)/(-30) - (-201)/(-10).
6
Let u = -7/1466 + 81433/14660. Find the common denominator of u and (-590)/(-4)*(-4)/220.
220
Let v be (-95310)/(-88) + ((-21)/4)/(-7). Let n = -1081 + v. Calculate the common denominator of 49/5 and n.
55
Let h(t) = t**3 + 21*t**2 - 25*t - 51. What is the smallest common multiple of h(-22) and 93?
465
Let c = 75016 + -599271/8. Let q(f) = -3*f + 122. Let z be q(6). Let k = c - z. Find the common denominator of 121/10 and k.
40
Let c be 6 + -3 - (-52910)/24. Let i = c + -2206. Find the common denominator of i and ((-3)/81)/((-14)/(-2415)).
36
Let r = 2075 - 18650/9. Calculate the common denominator of r and 85/63.
63
Suppose -a = -4*a - 606. Let s be (-2 + a/12)*3. Let u = -171/4 - s. Calculate the common denominator of 41/3 and u.
12
Suppose -4*j = -5*c + j + 110, 4*c = j + 85. Let t = -1837 - -1840. Calculate the lowest common multiple of c and t.
21
Suppose 6*i + 161 - 521 = 0. Calculate the common denominator of 107/10 and 9/i*87/(-9).
20
Let y be (-244)/(-24) + 5/(-30). Find the common denominator of 46/5 and 3*(375/y)/5.
10
Let s be (30/2)/(9/(-6)). What is the least common multiple of -3*(0 + 14