*m + 22 = 2*k + 3*m. What is the smallest common multiple of 9 and k?
45
Suppose 0 = -11*f + 119 + 166 - 21. Let v = -18 + 54. What is the least common multiple of f and v?
72
Let x = -607216 - -704370679/1160. Find the common denominator of 103/290 and x.
1160
Suppose 10*r = -3*l + 5*r + 1375, 1 = -r. Let z = 2209 + -2201. What is the smallest common multiple of l and z?
920
Suppose 0 = -11*l - 22 - 11. Let q(o) = o**3 + 2*o**2 - 5*o - 2. Let c be q(l). What is the common denominator of (1857/42)/1 - c/(-14) and 29/7?
14
Let f = -57510 - -4485943/78. What is the common denominator of -53/130 and f?
390
Let l be -4 - (-168)/20 - 2/5. Calculate the common denominator of (-1)/l*(1030/25)/1 and 63/134.
670
What is the smallest common multiple of 1199 and 1548/96 + 19/(-152)?
19184
Calculate the lowest common multiple of 366 and 12/((10 - 5) + 143/(-33)).
1098
What is the smallest common multiple of 1*(-24)/(-1 + -2) + (334 - -98) and 792?
3960
Let a be (7 + 5853/(-6))*3/6. Let c = a - -494. What is the common denominator of c and 9/8?
8
Let z(r) = -r**2 - 9*r + 6. Suppose -d + 5*d + 36 = 0. Calculate the lowest common multiple of 12 and z(d).
12
Suppose 200 = 4*y - 4*s, -3*s - 12 = -y + 54. Calculate the smallest common multiple of 1950 and y.
13650
Suppose -5*y - s = -1339, 0*s = -s - 1. Let t = 274 - y. Calculate the lowest common multiple of 6 and t.
6
Let t be (310/15)/(6/9). Let m = t - 7. Let u = m + 0. What is the lowest common multiple of u and 10?
120
Let o = -119 - -249. Let v = 139 - o. What is the smallest common multiple of v and 39?
117
Find the common denominator of 8 - (-742)/28 - -10 and 44/1853.
3706
Let i(v) = 80*v**2 + 374*v - 9. What is the smallest common multiple of 231 and i(-6)?
4389
Let x = 6612549/551 + -12001. Let w = x - -6089/7714. Calculate the common denominator of w and -11/8.
56
Suppose 5*k - 123 = -3*b, -7*k = -2*k + 2*b - 122. Let x = 4 - k. Calculate the least common multiple of 5 and (x/5 - -16) + -1.
55
Let j be (-263)/(-7) + (-12)/21. Suppose 4*t + 5 = h - j, h - 18 = -4*t. What is the common denominator of 57/32 and (354/h)/(-5 - -1)?
160
Let v = 27991/9268 + 36/2317. What is the common denominator of v and -67/112?
112
Let o = 118468037/1415 - 83723. Find the common denominator of o and -45/1981.
9905
Suppose 0 = 9*b - 13 - 203. Let m be (-6)/b - (-257)/4. Let q = 611/9 - m. Calculate the common denominator of 61/5 and q.
45
Suppose -2*x = -5*f - 2725 - 5941, 3*f + 12 = 0. Calculate the common denominator of -79/2 and 1/5 - (x/60)/(-11).
4
Let h = 2825/1156 + 63530689/17340. Let v = 3449 - 7119. Let n = v + h. Find the common denominator of n and -11/6.
30
Suppose 7*f + 920 = 27*f. What is the smallest common multiple of (74/4 + 0)/(23/f) and 3?
111
Let l(z) be the second derivative of z**3/2 + 17*z**2 - 6*z. Let y be l(-8). Find the common denominator of (-2190)/(-36)*3/y and -113/10.
20
Suppose 3*g = 4*d + g - 686, -4*d + 671 = 3*g. Suppose -d - 1910 = -10*l. Calculate the smallest common multiple of 52 and l.
208
Suppose r + 345 = -18. Find the common denominator of -81/4 and (1/2)/((-9)/r).
12
Let z(p) = 8*p**2 + 35*p - 6. Let f be z(-5). Let i(y) = -y**3 + 18*y**2 + 23*y + 32. Calculate the lowest common multiple of (-4)/6 - (-136)/6 and i(f).
1188
Suppose 12*f - 17*f = -20. Let z(n) be the third derivative of n**5/60 + n**4/12 + n**3 - 65*n**2 - 2. What is the least common multiple of z(-4) and f?
28
Suppose 3*f + 2945 = 2*d - 6*d, -4*d = -f + 2933. Let r = 824 + d. Calculate the lowest common multiple of 81 and r.
810
Let s(x) = -x**2 - 17*x - 21. Let p be s(-16). Let f(n) = -7*n**2 - n + 25. Let v be f(p). Calculate the common denominator of -87/10 and v/25 - 3/30.
10
Let l = 16163 - 59901. Let j = l + 10365940/237. Calculate the common denominator of j and 53/9.
711
Let v = -9 - -3. Let g be 207/207 + (2 - 0). Calculate the common denominator of ((-98)/v)/(32/g) and -53/2.
32
Let i = -52419 + 6290209/120. What is the common denominator of 127/408 and i?
2040
Suppose -h - 3*y + 1932 = -2*y, 3*y + 3894 = 2*h. Calculate the smallest common multiple of h and 12.
3876
Let o be 9 + (-12)/((-24)/8). Let i = o - -29/4. Calculate the common denominator of 3/50 and i.
100
Let h = -4066 + 4181. Suppose 5*f - 4*m - 36 = 0, -f - 3*m = 4 + 4. What is the smallest common multiple of f and h?
460
Suppose -3*g + 5 = 2*m, 4*g = -17 - 3. Let o be (-2)/8 + 3/12. Let d(u) = -u**2 + 22. What is the least common multiple of m and d(o)?
110
Calculate the least common multiple of 1450 and 13/(195/315) + 3459.
17400
Let u be (750/4)/((-3)/2 + 2). Let w = 691 - u. Suppose 9*n - w = -19. Calculate the smallest common multiple of 27 and n.
297
Let l(y) = -3*y - 2. Let i(j) = -14*j + 10. Let r(w) = i(w) - 4*l(w). What is the least common multiple of r(6) and 54?
54
Let m = 84 - 302. Let f = -211 - m. Suppose -3*a - 5*z + 28 = 0, 3*a = -3*z - 9 + 45. Calculate the smallest common multiple of f and a.
112
Let m = 814 + -805. Suppose -m*b + 491 + 211 = 0. Calculate the lowest common multiple of 132 and b.
1716
Let a be ((-48)/56)/(10/(-35)). Find the common denominator of (-12*a*(-12)/(-32))/(-6) and 83/4.
4
Let j = 635736518/8385 - 227455/3. Find the common denominator of 89/430 and j.
5590
Let x(y) = y**3 - 5*y**2 - 5*y + 13. Let w be x(6). Suppose -w*g + 22*g = -15. Let h = g - -8. Calculate the smallest common multiple of h and 4.
12
Let q(v) = -v**3 + 11*v**2 - 16*v - 15. Let c be q(12). Calculate the common denominator of (-2 + 72)*1/58 and 1/(30/c) - -3.
290
Let t = 23061 - 645625/28. Let a be -3 + (1740926/(-304326) - 3/(-1)). Let c = a - 5/3074. Find the common denominator of c and t.
252
Suppose -50*x - 111*x + 192243 + 683597 = 0. Calculate the least common multiple of x and 6.
16320
Let d(b) = -12*b - 40. Let a be d(-10). Let o = 82 - a. Calculate the lowest common multiple of 11 and 295/15 - (32/12 - o).
209
Let k be -1 + 252/4 - (0 + 1). Suppose 2*r = 48 + 78. Let a = r - k. What is the least common multiple of a and 3?
6
Suppose -2*h = 4, 2*g - 3*h = -5*h - 16. Calculate the common denominator of -29/17 and 0 - g - 86/6.
51
Suppose 0 = 370*s - 360*s - 1320. Calculate the smallest common multiple of 21 and s.
924
Suppose 3*l + v = 9, v = 1 - 4. Suppose l*s = -s + 15. Let u = 132 + -96. Calculate the lowest common multiple of u and s.
36
Suppose 0 = -2*n + 4*c - 16, -3*n - 18 = 27*c - 32*c. Calculate the smallest common multiple of n and 35/2 - 1/2.
68
Let j = 71/2 + -459/14. Let f = -611932081/22 + 27822239. Let m = f + -7146. Calculate the common denominator of j and m.
154
What is the common denominator of (-36)/(-162) - (2 - (-1468)/(-720)) and 43/320?
2880
Suppose 218*f - 372384 = 671957 - 85359. What is the least common multiple of 83 and f?
4399
Let n = 13 - 1. Let w(g) = -g**3 - 101*g**2 - 96*g + 404. What is the least common multiple of n and w(-100)?
12
Suppose -48 = -4*l + 4*k, -12*k + 13*k = -3*l + 28. Suppose 3*x = 7 - 1. Calculate the lowest common multiple of x/(-4)*6 + 16 and l.
130
What is the common denominator of (143701/(-244426))/((-32)/14) and 119/1560?
6240
Let q be (-17188)/(-21) - -1 - (273 - 269). Let m = q - 817. Find the common denominator of m and -55/219.
1533
Suppose -88*x + g = -87*x - 10, 5*x - 32 = -g. Let c(l) be the second derivative of l**3/6 + l**2/2 + 2*l. Calculate the least common multiple of x and c(0).
7
Let k(y) = -2*y - 18. Let w be (-264)/(-26) + 24/(-156). Suppose -2*d = -5*m + 61, -2*m = -4*m - 4*d + w. Calculate the lowest common multiple of k(-13) and m.
88
Suppose -2*m - 12 + 30 = 0. Let u(q) = 12*q - 98. What is the least common multiple of 40 and u(m)?
40
What is the common denominator of -125/84 and (-11856)/22806 - (-72)/126?
15204
Let a(c) = -6*c**3 - 3*c**2 - 5*c - 17. Let f be a(-4). Let u = -325 + f. Calculate the smallest common multiple of 35 and u.
70
Let r = 11652 - 128220/11. What is the common denominator of -36/53 and r?
583
Let i be (1/1888606)/(6/(-6))*2. Let m = 66756556271/10387333 - i. Let d = m + -6431. Calculate the common denominator of 17/6 and d.
66
Suppose -n + 5*p + 11 = 89, 0 = 2*n - p + 129. Let u = -41275/114 + 2185/6. Find the common denominator of (-2)/(-5) - n/5 and u.
19
Let b = -19191/10 + 1923. Suppose -4*v = 10*v + 70. What 