et j be s(-6). Let m = -204 + j. Calculate the lowest common multiple of 22 and m.
44
Let w be (608463/(-60))/(((-162)/(-12))/(-9)). Let r = 6772 - w. Calculate the common denominator of r and 53/22.
110
Suppose 0 = 116*x - 33*x - 139855. What is the lowest common multiple of 15 and x?
5055
Let c = -41161/248193 + 192/1199. Calculate the common denominator of c and 41/1863.
20493
Let y be (-4)/((-8)/6) - (5 + -1). Calculate the common denominator of 2 - y - (-1593)/996*-2 and -101/12.
996
Suppose -3*w + 5*w = 3*y - 34, -4*w - 32 = -3*y. Suppose 3*g = 34*g - 18104. What is the smallest common multiple of y and g?
1752
What is the common denominator of 25/316 and (-7)/12*(-12051)/(-2457)?
2844
Let l = 60363/5 + -349343/30. Suppose 4*o = 3*y - 1629, -5*y - 347 = -2*o - 1144. Let z = o + l. What is the common denominator of z and -83/22?
66
Let k = -223037950/561 - -397572. Calculate the common denominator of k and 121/170.
5610
Suppose 0 = 2*u - g + 1480, 2*u - 4*u - 2*g = 1492. What is the common denominator of 7*(-8)/(-252) + u/(-144) and -13/14?
56
Let r = 6153 + -769088/125. Find the common denominator of 49/100 and r.
500
Let h(l) = l**3 + 6*l**2 + 19*l + 73. Let y be h(-6). Suppose 5*f + 2 = -3. What is the common denominator of -95/24 and f/(-2)*y/6?
24
Let t = -5329/16 + 1351/4. Let k = -25/51 + 1781/408. What is the common denominator of k and t?
16
Suppose 4*i - 521 = 2*s + 985, -2*i = 5*s - 723. Let v = i + -269. What is the lowest common multiple of 49 and v?
735
What is the common denominator of 85/4 and ((-3)/(-542))/(-4*(-702)/(-2021472)) + 4?
14092
Let i(l) = 14*l**2 - 4*l - 3. Let x(f) = 4664*f + 37330. What is the least common multiple of x(-8) and i(-3)?
270
What is the smallest common multiple of (14/1 - 360/27)*(-1 - -307) and 408?
408
Let b be 8646/27 - 2/9. Let x = b - 1287/4. Suppose 3*u + n + 16 = 0, -2*u = -n + 11 - 2. What is the common denominator of x and u?
4
Let j = 59268167/566 + -104714. Find the common denominator of -79/22 and j.
6226
Suppose -2*y - 4*n = 32, -20 = -4*y - 3*n - 104. Calculate the common denominator of (219/y)/(15/12) and -83/14.
70
Let s = 93 + -91. Suppose 0 = -3*j + 25 + 11. What is the lowest common multiple of (-2)/(((64/j)/(-4))/s) and 11?
33
Find the common denominator of 900/225 - (16/5 + -1) and -4/995.
995
Let p(t) = -6*t**2 + 14*t - 8. Let q be p(6). Let h = -126 - q. Calculate the least common multiple of 16 and h.
112
Let m = -21720 + 21726. What is the lowest common multiple of m and 243?
486
Suppose 3*a - 5253 = -5*i, -5*i - a + 4201 = -i. Suppose -2*q = 5*q - i. What is the smallest common multiple of 1970/q + 2/(-15) and 9?
117
Suppose 0 = 2*w + 2*p - 2, -2*p = w + 2*w - 3. Suppose 3*x - 21 = -3*g, -4*x - 61 = -5*g + w. Calculate the least common multiple of 6 and g.
30
Suppose 2240 = 26*n - 6*n - 0*n. Calculate the least common multiple of 448 and n.
448
Let a = 136751227/81 - 1688286. Find the common denominator of (1 + 38/33)/1 and a.
891
Let g = -173/185570 + -5/1687. Find the common denominator of g and 107/770.
770
Suppose -4*k + 2*m + 26 = 0, 11 = 5*k - 5*m - 19. Calculate the lowest common multiple of 44 and (-1 - -12) + k + 1 + -5.
308
Let y = 2730/824503103 - 376384095684691/272621951006950. Let q = -4/6613 - y. Calculate the common denominator of 19/15 and q.
150
Let v = 85 + -91. Let r = 7 + v. Suppose 10 = 3*f - 8*f, -3*f = -p + 16. Calculate the smallest common multiple of p and r.
10
Let n = 25/332 - 13291/8964. Find the common denominator of n and (-4)/(-144)*79/(-4)*6.
216
Let o = 771 - 768. Suppose o*d + 136 = 3*s + d, s - 5*d = 54. What is the lowest common multiple of s and 48?
528
Let v = 31240 + -4686091/150. Find the common denominator of v and ((-28)/84)/((-22)/12)*(11 + -21).
1650
Let j be ((-9)/(-24)*-1094)/((-20)/(-24)). Let c = j - -495. Find the common denominator of 50/39 and c.
390
Suppose 1132*c = -3*z + 1129*c + 99, 4*z + 3*c = 132. Calculate the lowest common multiple of z and 4071.
44781
Let t = 32161/50232 - 73/138. Find the common denominator of t and -123/10.
3640
Let w(c) = -618*c - 1822. What is the smallest common multiple of w(-3) and 880?
1760
Suppose 145199 + 125092 = 7*j. Let d = 7259157/188 - j. What is the common denominator of d and -52/3?
564
Suppose 7*m - 85 = -50. Suppose -290 = -m*q + 5*y, 0 = -q + 5*y + 76 - 26. What is the least common multiple of 1 and q?
60
Let x = -73 + 36. Let j = -20 - 8. Let v = j - x. What is the lowest common multiple of 9 and v?
9
Suppose z = -2*z - 53019. Let f be (10/8)/5 + z/16020. Let m = -19/89 + f. What is the common denominator of -7/3 and m?
15
Let s = -27 + 105. Suppose 2*m - s = 2*g, -2*m + m + 19 = 4*g. What is the lowest common multiple of m and 25?
175
Find the common denominator of -67/420 and ((3/15)/((-6)/(-909)))/(23 + -44).
420
Let j(h) = 2*h**3 - 3*h**2 - h - 4. Calculate the smallest common multiple of j(3) and ((-3280)/(-328))/(2 + 9/(-5)).
100
Calculate the common denominator of (-85)/6*(-744)/465 and 390/(-207) - (-2)/1.
69
What is the least common multiple of 502 and (36/27)/(4/144*1)?
12048
Suppose 0 = -2*n - p + 5*p - 9110, 5*n + 22769 = 4*p. Let d = -182057/40 - n. Find the common denominator of 3/14*(-5)/(-15) and d.
280
Suppose 15*r + 308 = 4*r. Find the common denominator of r*3/(-720) - 2 and -71/60.
60
Find the common denominator of 73/990 and 72/48 + (-11)/22 + (-1033)/900.
9900
Let b = 128851/11526 - 24/1921. Calculate the common denominator of b and -145/1632.
1632
Suppose 0 = 43*j - 47*j + 1056. Let b = j + -224. Calculate the smallest common multiple of b and 44.
440
Let d(t) = 4*t**2 + t - 2. Suppose -4*b - 4 = -6*b. Let o(i) = 3*i**2 - 175*i - 1812. What is the smallest common multiple of d(b) and o(-9)?
48
What is the common denominator of (-142)/7*812/(-6960) and (-7)/2*(-3)/(-5)?
30
Suppose 81 = 4*k - 0*y + y, 5*k + 3*y - 96 = 0. Suppose 32*g + 176 = 48*g. Suppose -25 = -u + g. Calculate the smallest common multiple of u and k.
252
Suppose 423*h = 428*h - 180. Let k(w) = 3*w**2 + 9*w + 12. What is the least common multiple of k(-5) and h?
252
Find the common denominator of 8/(-22)*120/5312 and -83/4.
3652
Let j be 3/5 - (-2 - (-1976)/10). Let b = -445 - j. Calculate the common denominator of -103/14 and (b/8)/((-4)/(28/21)).
84
Let q = -421 + 6938. What is the least common multiple of 6 and q?
39102
Let z = -7167 + 7173. Let r(m) = 3 - 4*m - 2*m**3 - 1 + 13*m**2 - m. Calculate the lowest common multiple of r(z) and 10.
40
Suppose -6*d + 4 = 16. Let a be d + 2 - (2 - 96/3). Calculate the smallest common multiple of 3 and (135/a)/((-2)/(-4)).
9
Let z = 37 + -34. Suppose -5*j + 2*a = 3*a - 535, 5*a = -z*j + 299. What is the smallest common multiple of j and 36?
108
Suppose -74*t + 11696 = -31*t. Calculate the lowest common multiple of t and 170.
1360
Let v(u) be the third derivative of -u**4/4 + u**3/3 + u**2. What is the least common multiple of v(-6) and 18 + (1 - 10) + -1?
152
Let w = 88 + -27. Suppose -w*f = -62*f + 15. What is the least common multiple of f and 15?
15
Let c(k) be the first derivative of -5*k**2/2 + 87*k - 21. Calculate the smallest common multiple of c(15) and (-3)/12 - (-170)/8.
84
What is the common denominator of (-18)/117 - 1915/(-14560) and 3/29?
6496
Calculate the common denominator of -51/19 and 9/1053*-13*147/2.
114
Let n = 2225 + 4523. Let b = n + -60662/9. Let z = 2573/870 - -53/87. Find the common denominator of z and b.
90
Let i be 3 + -1 - (-964825)/(-163380). Let w = i - -1/1556. Calculate the common denominator of w and 23/45.
315
Let x(y) = -y**3 + 71*y**2 - 128*y - 106. What is the least common multiple of x(69) and 803?
6424
Let p(m) = 12*m**3 - m**2 - m - 1. Let x be p(-1). Let r = 146/23 + -413/460. What is the common denominator of (-52)/x - (-39)/(-8) and r?
40
Let s(a) = a**3 + 5*a**2 + 8*a + 4. Let f be s(6). Suppose -40*v = -33*v - f. Calculate the smallest common multiple of v and 24.
192
Let o be -4 + 2 + (-1 - 5 - -24). Suppose -b - 3*q = 2*q - o, 3*q = 0. Calculate the lowest common multiple of b and 12.
48
Suppose -16*z = -17*z + 7. Suppose -z*k - 6600 = 3*k. Calculate the common denominator of 1/44 and 505/k - (0 - 6/(-9)).
44
Suppose 58 = 14*k - 68. What is the smallest common multiple of 4 and ((-60)/14)