-b = -3*q - 17. Suppose 4 = 2*u, 2*u = x - u - q. What is the least common multiple of 8 and x?
88
Let p be 21077453953/262879440 - (-2)/(-3). Let i = p + 2/1095331. Let k = 391/5 - i. Calculate the common denominator of -7/4 and k.
16
Suppose 5*v = 2*v - 270. Let s = v - -867/10. Find the common denominator of s and 31.
10
Suppose -k = g - 18, -2*g + 2*k + 36 = 8. Suppose -h + 6 - 40 = 3*v, 14 = -v - 3*h. Calculate the common denominator of ((-42)/g)/(4/(-16)) and v.
2
Let x(g) = -2*g - 5. Let d be x(-5). Suppose -d*k - 15 = -135. Calculate the smallest common multiple of k and 33.
264
What is the smallest common multiple of 14 and 17/(-34) - (-25)/2?
84
Suppose 435 = 11*t - 225. What is the lowest common multiple of 15 and t?
60
Suppose 2 = -4*o - 0*t + t, 4*o - 4*t + 8 = 0. Let n = 5 - o. Suppose -40 = n*q - 7*q. What is the lowest common multiple of q and 4?
20
Let c be 43140/(-70) - 6/(-4)*-2. Let d = -625 - c. What is the common denominator of 70/9 and d?
63
Let z(c) = 6*c + 71. Suppose -17 = -3*x + 1. What is the smallest common multiple of z(-10) and x?
66
Let a(o) = 4*o - 5. Let y(n) = -7*n + 10. Let u(s) = 5*a(s) + 3*y(s). Let f = 91 - 106. Calculate the smallest common multiple of 12 and u(f).
60
Suppose -i + 5*q = -34, -5*i = -9*i - q + 52. What is the least common multiple of 16 and i?
112
Let i(d) = d**2 - 6*d - 69. Calculate the least common multiple of i(-15) and 21.
1722
What is the common denominator of -4*(130/16)/5 and (-2736)/(-512) + 4 + -7?
32
Let b(c) = 79*c - 9. Let l be b(6). Calculate the common denominator of 95/2 and -4 - (l/(-40) + 0).
8
Calculate the common denominator of -79/350 and (-6)/(-10) + (-2)/(2100/459).
350
Let a be (-1 - -2)*(-4 + 5). Let t be (a/2)/((-1)/128). What is the common denominator of -48/11 and ((-4)/10)/(t/(-2600))?
44
What is the lowest common multiple of 7 and (11/((-55)/(-10)))/(-2)*-6?
42
Suppose -c + 12 = 3*c. Let v(i) = -23*i**3 + 2*i + 1. Let y be v(-1). Let r = y + -11. What is the lowest common multiple of c and r?
33
Let f = 59 - 190. Let w = -32709/8 - -4100. What is the common denominator of (f/(-18))/((-22)/6) and w?
264
Calculate the least common multiple of (-932)/(-24) - (-2)/(13 + -1) and 1 - ((-8)/4 + -6).
117
What is the least common multiple of 20 and -6*1/(-3) + (-1 - -49)?
100
What is the common denominator of (122/(-8))/(0 + 2) and 6*((-75)/(-12) + -5)?
8
Let m(k) = 12*k**2 + 9*k - 7. Calculate the smallest common multiple of m(1) and 66.
462
Suppose -19 - 5 = -6*o. Let w = 73 - 110. What is the common denominator of (w/10)/(-3 + o) and 48?
10
Let j(z) = -12*z**3 - 8*z**2 + 8. Suppose 0 = -4*q + q + 4*u - 10, 4*u = -8. Let y be j(q). What is the common denominator of (-1)/(-4) + y/96 and -37/7?
21
Let v = -31/4 + 351/20. Calculate the common denominator of 93/8 and v.
40
Let o = 31287/8 + -3904. Let w be (-9 - 0)*(-29)/(-21). Let r = -89/28 - w. Calculate the common denominator of r and o.
8
Suppose 5*l - 2*l = 9. What is the smallest common multiple of l and 24?
24
Let x = -219473/48324 + 1/32216. Find the common denominator of 109/24 and x.
24
Suppose u - 36 = -2*i, 0*u = 2*u + 3*i - 69. Suppose v = -2*d + u + 8, 0 = d + 3*v - 24. What is the smallest common multiple of 2 and d?
18
Let f be (1 + (-5)/5)/3. What is the common denominator of 65/6 and f + (-10)/(-25) - (-567)/1920?
384
Calculate the common denominator of (96/(-208))/(6 + 1) and 2/5 + 742/(-80).
728
Let b(h) = h**3 + 7*h**2 + 5*h - 2. What is the least common multiple of b(-6) and 215?
860
Suppose 0*t - 15 = 3*t, 4*y = -5*t + 339. Let w = -665 - y. Let c = w + 4387/6. Calculate the common denominator of c and -45/2.
6
Let q be (14/3)/((-2)/(-3)). Let l(d) = d**2 - 5*d + 6. What is the lowest common multiple of 4 and l(q)?
20
Let z(s) = s**2 - 7*s. Let u = 29 - 26. Suppose -4*r + 17 = 3*a - 21, -4*r + 26 = -u*a. What is the least common multiple of 1 and z(r)?
8
Suppose 0 = -3*q + 3, -38*q + 33*q = o - 614. Calculate the lowest common multiple of o and 1.
609
Let v = -70385/3476 - 1/869. Find the common denominator of -1 + 4 - (-6)/(-9) and v.
12
Let u = -127 - -227. What is the lowest common multiple of 30 and u?
300
Let z be (-14)/(-49) + 18/(-14). What is the common denominator of (290/32)/z + 4 and 59/34?
272
Suppose 3*c - 3 = -a - 0*a, -5*c + 1 = 3*a. Let q be (1710/(-56))/5 - a. Let k = 547/42 + q. Find the common denominator of -151/18 and k.
36
Let k = 11912/9 + -1326. What is the common denominator of k and (-10)/9 + (9/(-5))/(78/(-130))?
9
Let f = 7002 - 2310713/330. What is the common denominator of 139/12 and f?
660
Calculate the smallest common multiple of -3 + (0 - -1) - -62 and 10.
60
Let n = -61 - -66. Let o = -626 + 3793/6. Find the common denominator of o and (-6)/((-10)/n) + (-138)/(-8).
12
Let x = 61 - 25. Suppose 3*z + 18 - x = 0. Calculate the lowest common multiple of 27 and z.
54
Let b = 3421 - 68301/20. Find the common denominator of 97/24 and b.
120
Let v(o) = o**3 + 12*o**2 - 21*o - 22. Let u be v(-13). Let w = -76 + u. What is the least common multiple of 11 and w?
66
Let y be ((-38)/(-76))/((-4410219)/(-4950237) + -1). Let l = -608488 + 18255248486/30001. Let z = l - y. Find the common denominator of -17/9 and z.
36
Suppose 2*z + 30 = -6*u + 8*u, 73 = 5*u - 3*z. What is the least common multiple of 10 and u?
70
Suppose -21*u + 17*u = 320. What is the common denominator of 79/44 and -2 - ((-108)/u)/3?
220
Let k(r) = r + 2. Let b be k(0). Suppose 0*m + b*m = -12. Find the common denominator of 137/6 and (-86)/m*(-1)/4.
12
Let p = 1028/19 + -15779/266. What is the common denominator of 63/1168 and p?
8176
Suppose 2*w = -w. Calculate the common denominator of (-4)/184*7 + w and (39/(-130))/((-12)/10).
92
Let v = 44 + -31. Suppose -2*y = -7 - v. Calculate the least common multiple of 9 and y.
90
Let z(t) = -42*t**2 - 88*t - 2. What is the least common multiple of z(-2) and 1898?
5694
Let a be 3937/(-63) - 2/9. Let r be (-149836)/(-2520) - (24/(-15))/(-2). Let h = a + r. Find the common denominator of -27/28 and h.
252
Suppose 100 = -3*h + 124. What is the smallest common multiple of 134 and h?
536
Suppose 77*v - 72*v - 1540 = 0. Calculate the least common multiple of 2 and v.
308
Calculate the common denominator of -11 - (-6 + 4302/(-852)) and -34/3.
426
Let x(g) be the second derivative of 5*g**4/12 - g**2/2 + 2*g. What is the lowest common multiple of 9 and x(-1)?
36
Suppose -3*x + 60 = -0*x. What is the smallest common multiple of (0 - 4)/(16/(-64)) and x?
80
Calculate the common denominator of 131/408 and ((-17)/(-12))/((-17)/238).
408
Let x = 185/26 + -1475/52. Calculate the common denominator of x and 15/56.
56
Suppose -12*t + 65 = -55. What is the lowest common multiple of 5 and t?
10
Suppose 2*b - 6 = 12. Calculate the common denominator of ((-4284)/80)/b - -3 and 1 - 169/(-18) - 2.
180
Suppose s + 144 = 5*s. What is the lowest common multiple of (4/(-7))/(-2*(-2)/(-28)) and s?
36
Let z(t) = t**2 - 5*t + 14. Suppose 5*q = c - 3*c - 13, 4*c - 3*q - 39 = 0. What is the least common multiple of z(c) and 20?
20
Let x(p) = p**3 + 9*p**2 - 11*p - 13. Let b be x(-10). Suppose 0 = 2*r + 5*d + 2, 5*d = -3*r - 4 + 1. What is the common denominator of 49/10 and 172/30 - r/b?
10
Let g(u) = u**2 - 10*u + 12. Let v be g(8). Let p = v - -7. Suppose 4*t + 8 = 3*n, -3*t + 8*t = 2*n - p. What is the smallest common multiple of n and 11?
44
Suppose 0 = 3*f + 2*v + 12, -5*f + 2*v - 7*v = 15. Calculate the lowest common multiple of (-7 + -2)*2/f and 0 + 3/((-6)/(-10)).
15
Let c be 14691/18 + (-3)/18. Let s = c + -486. Calculate the common denominator of 79/20 and (-438)/s*5/(-2).
220
Calculate the common denominator of (49/728)/7*14 and 109/20.
260
Let m = -17 + 28. Let t = -482 - -492. Calculate the least common multiple of m and t.
110
Let p = -3845 - -23009/6. Suppose 4*h = u, h = 4*u - 3*h + 12. What is the common denominator of u/(-12)*(-183)/(-2) and p?
6
Suppose z = 2*w - 61, 4*w + 3*z - 56 - 51 = 0. Let b = 61 - w. What is the smallest common multiple of 16 and b?
32
Suppose 18 = -m + 4*m. Suppose m*j + 0*j = 66. Calculate the least common multiple of j and 5.
55
Let y = 5433/4 - 1372. Let d = 176/28727 - 140925647/3217424. Let g = 321/7 + d. Find the common denominator of g and y