?
84
Let w(i) = -i**2 - 3*i + 1. Let t be w(2). Let k = t - -11. What is the least common multiple of k and 22?
22
Let l(v) = 8*v + 544. What is the least common multiple of l(-66) and 430?
3440
Let s be (-1 + 1)/(-9 + 10). Suppose -i = 3*j + 3*i - 22, s = -3*j + 3*i + 36. Suppose -o + 4*o - 12 = 0. Calculate the lowest common multiple of o and j.
20
Suppose -58*l + 378 = -31*l. What is the smallest common multiple of l and 98?
98
Let k(a) = a**2 - 12*a + 3. Let z be k(11). Let u = -57/65 + -5133/1040. Find the common denominator of (5/6)/(z/(-54)) and u.
16
What is the least common multiple of (-8 + -20 + 10)/(-4 + 2) and 38?
342
Let m = 750 + -9017/12. Let s = -2375/28 + 323/4. What is the common denominator of s and m?
84
Let h = 16 + -12. Suppose 0*g + 8 = s - g, 60 = h*s + 3*g. Suppose y - 1 = -2*d + 8, -s = 4*y. What is the smallest common multiple of 6 and d?
6
Let c = 184 - 9931/54. What is the common denominator of -32/3 and c?
54
Let k(h) = h**3 - h**2 + 2*h - 6. What is the lowest common multiple of k(4) and 45?
450
Let l(q) = -q**3 + 6*q**2 + 16*q + 26. What is the smallest common multiple of 78 and l(8)?
78
Suppose -60 + 282 = -6*s. Suppose -3*n = 24 + 21. Let g = n - s. What is the least common multiple of 10 and g?
110
Let o = 2884 - 23139/8. Find the common denominator of o and -5/26.
104
Suppose -18*w + 23*w = 15. What is the common denominator of (-51)/(-5)*1/w and -20/13?
65
Let a = -425 + 1621/4. Calculate the common denominator of ((-3)/(-30))/(12/290) and a.
12
Let u = -809 - -11339/14. Calculate the common denominator of -59/56 and u.
56
Let t = -22603703278362439/115890 - -195044466978. Let v = t - -2/11589. Calculate the common denominator of v and -7/6.
30
Suppose 0 = 11*j - 4*j. Suppose 3 = 5*w - 2*w. Find the common denominator of 49/18 and j + w*87/18.
18
Suppose -5 + 3 = c. Let f(z) = -8*z + 2. Let q(v) = -52*v + 12. Let j(w) = -32*f(w) + 5*q(w). What is the smallest common multiple of 36 and j(c)?
36
Calculate the common denominator of (-226)/36*(-30)/200 and -109/18.
360
Suppose 2*v = -i + 7, -3*i - 5*v - 12 = -10*v. Calculate the least common multiple of i and 164.
164
Let j(m) = -m**3 + 8*m**2 - 11*m + 10. Let h be j(7). Let o = h - -23. Calculate the smallest common multiple of o and 8.
40
Let p be (196/54)/((-3)/(-504)). Let o = p - 609. Let q = -12481/1539 + -2/1539. Calculate the common denominator of o and q.
9
Let j = -3261985/144 - -67957/3. What is the common denominator of -67/33 and j?
1584
What is the common denominator of (-36)/81*(-111)/(-56) and (-4)/(-18) - 7137/(-324)?
84
Suppose -u = 10 - 11. Let v(w) be the first derivative of -w**2/2 + 8*w + 2. What is the least common multiple of u and v(7)?
1
Suppose i = 3*j - 26, 4*i + 15 = j - 67. Let u = 32 + i. Let v = 21 - u. Calculate the smallest common multiple of v and 10.
90
Calculate the common denominator of (3/30)/((-48)/760) and -71/78.
156
Let m = 875 - 524. Calculate the smallest common multiple of m and 15.
1755
Suppose -4*b - 3*v + 188 = 0, -3*v - 32 = -2*b + b. Let l = b + -26. Calculate the smallest common multiple of l and 20.
180
Suppose 1 - 11 = -2*p. Suppose 3*n + n + 2 = 2*d, 0 = p*d - 3*n - 40. Calculate the lowest common multiple of 2 and d.
22
What is the lowest common multiple of 28 and 4/(-16)*-4 + (74 - -17)?
644
Let p = 1098 - 11069/10. Find the common denominator of 2/4 + (-34)/18 and p.
90
Suppose d + 3 = -7. Let p(q) = -4*q - 33. What is the smallest common multiple of p(d) and 3?
21
Suppose 4*m = -2*n + 102, 5*m - 5*n = 18 + 87. Let u be 334/(-12) - 4/m. Let z = u + 44. What is the smallest common multiple of 6 and z?
48
Let d(u) = -u**2 + 5*u - 4. Let l be (-20)/4*(-6)/10. What is the smallest common multiple of d(l) and 7?
14
What is the common denominator of 43/22 and 57/(-21)*((-137)/(-18) + -8)?
198
Suppose -4*y - 2*s = -6, 4*s = -5*y + 1 + 2. Suppose -i = -y*i - 16. Let b = 10 + i. What is the least common multiple of 12 and b?
12
Suppose 5*m + 0*m - 4*h = 35, 0 = 5*m + 3*h. Suppose -56 = -y - m*y. Calculate the least common multiple of (-1864)/1165*(-5)/2 and y.
28
Suppose -719 = 3*r + 5*y, -y + 257 = -5*r - 960. Let u = 270353/75444 - 1/6287. What is the common denominator of r/28 + (-3)/(-7) and u?
12
Suppose 0 = 5*j + 2*b - 4, 3*j + 8 = 3*b + b. Calculate the common denominator of 37/18 and 46/42 + j - 8/(-12).
126
Suppose 63*p - 187 - 317 = 0. Suppose 0 = -3*g + 8*g - 200. Suppose 5*n = g + 20. What is the least common multiple of p and n?
24
Find the common denominator of 13 + -15 - 1/(-36) and 107/28.
252
Find the common denominator of (294/(-12) + 1)*8/12 and -53/172.
516
Let x = -18 - -20. Suppose 12 = 4*m - 2*m - 3*f, -x*m - 2*f = -32. Let l = 32 + -22. What is the lowest common multiple of m and l?
60
Suppose -4*v + 3*v + 3*i = 1, 10 = 5*i. Suppose 0 = -v*g + 74 - 274. What is the lowest common multiple of 1 and (g/(-12) - 3)*33?
11
Suppose 5253 = -3*c + 3*t, 3*c + 5*t = -1721 - 3548. Let j = c - -15752/9. Let l = -3581/5 + 712. Find the common denominator of j and l.
45
Suppose -11*t - 2523 - 1657 = 0. Let b = t + 2371/6. Calculate the common denominator of -19/15 and b.
30
Suppose 3*s - 20 = 46. Suppose -67 = -5*y - s. Calculate the smallest common multiple of 4 and y.
36
Suppose -5*q + 15 = -2*q. Calculate the least common multiple of q and (-18)/12*4 - -9.
15
Let p = -9 - -10. Let d(o) = 12*o**3 - o + 1. Let r be d(p). Calculate the lowest common multiple of (-56)/(-9) - r/54 and 16.
48
Let n = -10921/8 - -1362. What is the common denominator of -97/26 and n?
104
What is the common denominator of 150/(-40) + 5*1 and ((-11)/2)/(10/(-35))?
4
What is the least common multiple of -5 + -1 + (1 - 0)*258 and 12?
252
What is the common denominator of (-3)/(-168)*-26 - 47/235 and -44/245?
980
Suppose -8*j + 70 = -6*j. Let g(m) = 2*m - 7. What is the smallest common multiple of j and g(6)?
35
Let c(r) = r**3 + 4*r**2 - 11*r - 4. Let h be c(-5). Find the common denominator of (-22)/18 - 13/h and 11/18.
18
Let z(b) = -b**2 + 2*b**2 - 3*b**2 + 14*b + b**2 - 7. What is the least common multiple of 24 and z(10)?
264
Let d = 1206 + -7085/6. Calculate the common denominator of (-1558)/(-133)*((-15)/36 + 1) and d.
6
Suppose -d + 43 = 3*l, -20*d + 245 = -15*d + 5*l. Calculate the lowest common multiple of (-13 - -1)/(9/(-6)) and d.
104
Let y be 3*4 + (-2 - -4). Let n = -11 + y. Suppose -1 = 2*a - n. What is the smallest common multiple of a and 7?
7
Let t be (-3 + (-1924)/6)/(3/9). Let s = 6774/7 + t. What is the common denominator of (20/3)/(1/(-2)) and s?
21
Let j = -4 - 6. Let z be (45/j)/(6/40). Let r = z + 19. Find the common denominator of -16/5 and r.
5
Suppose -2*l - 21 = -d, 4*d - 36 = -2*l + 18. What is the least common multiple of d and 30?
30
Suppose 0 = 5*h - p + 315 - 342, p = 2*h - 15. What is the least common multiple of -18*((-28)/6 - -2) and h?
48
Suppose -2*o + 70 = 3*o. Find the common denominator of (-4)/o - (-1290)/56 and (-109)/10 - (2 + (-4 - 1)).
20
Let i(f) = -f**3 + 6*f**2 - 15*f + 42. What is the lowest common multiple of 396 and i(3)?
792
Let i = -793 - -811. What is the smallest common multiple of 18 and i?
18
Let a = -21901/4248 + 193/36. Calculate the common denominator of a and -61/16.
944
Let g(j) = 60*j**2 + 5*j - 5. Let a be g(7). Let b = -41663/14 + a. What is the common denominator of b and -25/16?
112
Let g = -1985/36 + 57. Calculate the common denominator of -13/560 and g.
5040
Suppose -11*j + 3*j + 360 = 0. Calculate the smallest common multiple of j and 150.
450
Suppose -3*u + 4 + 80 = 0. Let a be (14/42)/(2/18). Suppose -4*n + i + 42 = 3*i, a*i = -n + 13. What is the least common multiple of u and n?
140
Let m(c) = -c**2 + 7*c + 5. Suppose -b + 0*g = -5*g - 62, 4*b - 160 = -2*g. Suppose -76*r + 70*r = -b. What is the smallest common multiple of m(4) and r?
119
Let v be 114/(-1)*1 + (-4)/(-20). Suppose -5*a = 0, -4*a = -4*s + 227 + 241. Let w = v + s. Find the common denominator of w and -20/7.
35
Let l(n) = -n**3 - 6*n**2 - 38*n - 137. Suppose 0 = -5*t + 49 + 1. What is the smallest common multiple of t and l(-5)?
140
Let w = 11464 + -366913/32. What is the common denominator of 7/36 and w?
288
Let t(q) = 25*q**2 + 2 - 21*q**2 + 1 - q + 0 - q**3. Calculate the smallest co