21, -w + 5*w = -5*m - 7. Let k = 10 + w. What is the least common multiple of 16 and k?
16
Let f = 44227/23100 - -4/1925. Calculate the common denominator of f and -79/120.
120
Suppose -t + 274 = 4*m, 231*m + 272 = t + 234*m. What is the lowest common multiple of 152 and t?
1064
Let c = -6923/3660 - -92/61. What is the common denominator of -91/32 and c?
480
Let x be (350/(-624))/((-1)/141). Let s = -613/8 + x. What is the common denominator of 95/6 and s?
78
Find the common denominator of (27335/540)/11 + 56/(-14) and 29/12.
108
Let a(g) = -g**2 + g + 19. Let s be a(0). Let y = s - 1. Calculate the smallest common multiple of 20 and y.
180
Suppose 14 = -4*p + 38. Suppose 4*l + 292 = 4*v, -5*l + 2*v - 395 = 3*v. What is the lowest common multiple of l/(-9) - 6/9 and p?
24
Let j = -1/2744 + 38431/41160. Calculate the common denominator of j and -14/15.
15
Let x be (1 + (-64)/84)/(19/6). Let f = 505/2128 + x. Find the common denominator of f and 143/12.
48
Suppose 9*l - 4*l - 88923 = i, 5*i - 10 = 0. Suppose -4*d = -2*u - 6487 - 621, -5*d = 5*u + l. What is the common denominator of (-2)/8*u/42 and -101/14?
42
Let d = -16929/350 + 1036/25. Calculate the common denominator of d and ((-1)/2)/((-150)/(-1065)).
140
Let k = -334/11 + 81551/2684. Let m = -3175265/2630076 + -2323/3593. Let o = m + k. Calculate the common denominator of o and -47/9.
18
Suppose -53 = -4*c - 5*f, 6*f + 44 = 4*c + 2*f. What is the least common multiple of c and (-3 - 30/(-9))*42?
84
Let z = -1/641 - 35246/5769. Let x = -176165/53 + 3324. Find the common denominator of x and z.
477
Suppose 3*m = -2*f + 28, -2*m = -f - 13 + 6. Suppose r = -4*r + 2*t + 10, -5*r - 5 = -5*t. Calculate the smallest common multiple of r and m.
12
Suppose 7*v = -2*z + 3*v - 140, 2*v + 130 = -2*z. Find the common denominator of 1/6 and (-8)/z*53/(-4).
30
Suppose -28*f + 20*f = -24. Let s(l) = 2*l - 5. Let m be s(6). Suppose 2*g + m + 17 = 3*w, 15 = 4*w + f*g. Calculate the least common multiple of 18 and w.
18
Let b = 214 + 292. Let j = b + -1033/2. Calculate the common denominator of j and -3/7.
14
Let r = 28423217/156 + -182201. Find the common denominator of 133/12 and r.
156
Let r(m) = -m**3 - m**2 + 20*m - 12. What is the lowest common multiple of r(3) and 290?
1740
What is the common denominator of ((-165)/1485)/(68/498) and -67/153?
306
Let m be ((-112)/6)/((-5)/(-81)). Let x = m + 24007/80. Calculate the common denominator of -29 - (0 + 2/4) and x.
16
Let u(t) = -t + 30. Let c be u(-8). Let g = c - 31. Calculate the lowest common multiple of g and 1.
7
Suppose -3*a + 3*z + 66 = 0, 0 = -4*a - 4*z - 0*z + 104. What is the lowest common multiple of a and 81?
648
Suppose 2*m - 3*x - 13 = 1, -m + 4*x + 17 = 0. Calculate the common denominator of (-2)/8*(-89)/m and 1/(-5) + (-2732)/(-360).
36
Let h be (792/(-110))/(6/100*-1). What is the common denominator of (-183)/h + 6/15 + -3 and 47/10?
40
Let z be (-6)/(-9) + (-7868)/3. Calculate the common denominator of 2/9 + z/(-1080) and 81/10.
20
Let t(u) = -u + 70. What is the least common multiple of t(0) and 45?
630
Let o = -76/257 + 16610/16191. Calculate the common denominator of o and 127/24.
504
Suppose 2*r + 19 = 7. Let t(l) = 7*l + 12. What is the common denominator of t(r) and 15/74?
74
What is the common denominator of 0 + (-49)/(-36) - 69/207 and 117/14?
252
Let z be 5 - 148/(6/6). Find the common denominator of 13/(-39) - z/(-3) and 13/81.
81
What is the common denominator of 11/119 and (-82 + 23)/(169 + 1)?
1190
Let r(t) be the third derivative of t**4/8 + 43*t**3/6 + 2*t**2 + 20. Calculate the lowest common multiple of r(-13) and 12.
12
Suppose 3*k - 159 = -132. What is the smallest common multiple of 18 and k?
18
Suppose -9*s + 63 + 81 = 0. Calculate the smallest common multiple of s and 18.
144
Let q be (-4 + -2)*(32/6)/(-1). What is the common denominator of 85/32 and (-1504)/(-72)*(-6)/q?
96
Let z(r) = -3*r - 4. Suppose 0 = 18*y - 40 - 32. What is the lowest common multiple of z(-4) and y?
8
Suppose 107*t - 111*t = -112. What is the lowest common multiple of t and 52?
364
Let u be 4/(84/(-76) + 1). Let z = 161 + u. Suppose j + 2*j - z = 0. Calculate the common denominator of j and 14/3.
3
Let l be (-12 - -15) + -7*7. What is the common denominator of ((-10)/3)/((-8)/l) and -10/27?
54
What is the least common multiple of 30 and 4 + -2 - (14 - 96)?
420
Suppose -4*z + 92 = 3*d, -5*d - 3*z + 5*z + 188 = 0. What is the least common multiple of d and 36?
36
Let f = -445 + 455. What is the smallest common multiple of 8 and f?
40
Calculate the lowest common multiple of 7 and (-5)/10 + 6/4 - 0.
7
Let r = -188451/56126 - -2/4009. Calculate the common denominator of r and 3/776.
5432
Let u(k) = -4*k + 6. Let i be u(-18). Let z = i - 58. Calculate the smallest common multiple of 24 and z.
120
Let n = 147/10 - 103/10. Let q = 0 + 4. Find the common denominator of n and (-74)/q*16/(-40).
5
Let a(b) = b**2 + 5*b + 14. Let v = -10 + 10. What is the lowest common multiple of (1 + 15)*(v + 1) and a(-6)?
80
Suppose v + v = 2, -4*k = -2*v - 14. Suppose -7*a + k*a = 6. Calculate the smallest common multiple of (-33)/(-6) + 1/a and 10.
10
Let q = 4/3219 - -292897/25752. Find the common denominator of q and -139/192.
192
Suppose 2*s - 114 = 114. Calculate the common denominator of 2 - (3 - 165/(-9)) and ((-21)/(-147))/((-2)/s).
21
Find the common denominator of 3*(-4)/16*970/135 and -59/24.
72
Suppose 35*l + 263 - 823 = 0. Calculate the smallest common multiple of l and 14/(1 + 0) + 0.
112
Let q = 209 - 205. What is the least common multiple of ((-8)/(-6))/(2/12) and q?
8
Let v = -31891/120 - -802/3. Calculate the common denominator of 89/76 and v.
760
Suppose 3*p - 239 = -173. Calculate the lowest common multiple of 124 and p.
1364
What is the common denominator of (((-2300)/28)/(-5))/(36/14) and 41/201?
1206
Suppose -5*g + 1812 = -4*h, -8*h + 1071 = 3*g - 5*h. Calculate the least common multiple of 9 and g.
360
Let f = 2/121869 + -3209263/2802987. Calculate the common denominator of f and 76/105.
2415
Let a = 1907/4 - 472. Calculate the common denominator of a and 23/9.
36
Let q = 908/7 + -14264/105. Calculate the common denominator of -139/150 and q.
150
Let t = 1426 + -1400. Let h(m) = m**2 + 4*m - 2. What is the smallest common multiple of h(-6) and t?
130
Let i be (-8 - -5)*(-2)/2. Let k(a) = 5*a + 3. Let j = 10 + -6. What is the smallest common multiple of j and k(i)?
36
Let j = 7 - 12. Let h be 1624/3535 + 2/j. Let f = 12589/606 + h. What is the common denominator of 63/16 and f?
48
Let x = 54843207/304 + -180405. What is the common denominator of -73/6 and x?
912
What is the common denominator of 410/(-4)*(-21)/700 and 149/72?
360
Suppose -4*n + 10 = 3*q, 2*n + q + 2 = -4*q. Let a be ((-1)/(-2))/((-2)/n). What is the common denominator of -1 + a/(68/6) and 23/6?
102
Suppose 2*q - 320 = -6*q. What is the common denominator of ((-1)/12)/(q/2610) and (-14)/(-10)*(-18)/(-8)?
80
Let d = -3791/451 + 93/11. What is the common denominator of d and -44/5?
205
Let a = 325 - 318. Calculate the smallest common multiple of 1 and a.
7
Let n = -45 + 47. Suppose -n*c + 28 = 2*c. Calculate the lowest common multiple of c and 5.
35
Let i(c) = 19*c - 48. Calculate the lowest common multiple of i(4) and 3 + -1*(-8 + -3).
28
Let q(u) = -2*u**3 + 18*u**2 + 6*u - 16. Let h be q(13). Calculate the common denominator of (-1)/(-3) - h/72 and -1 + (71/(-2) - -2).
4
Suppose -5*x - 25 = 0, 3*v + 2*x + x = 57. Suppose -2*b - b - 4*p = -9, 2*b = 3*p + 6. What is the smallest common multiple of v and b?
24
Let h be ((-4634)/(-8))/(115/(-46)). Let n = h + 234. Calculate the common denominator of (184/(-6))/(6/(-1)) and n.
90
Suppose -500 = -16*k + 11*k. Calculate the least common multiple of k and 12.
300
Suppose z = -3*u + 568, 5*u - 676 = -2*z + 270. Calculate the lowest common multiple of u and 95.
190
Let n = 8450 + -8444. Suppose 0 = -0*z + z - 3. Calculate the smallest common multiple of n and z.
6
Let o = 2207/2 - 1154. Let h = -277 - -2781/10. What is the common denominator of h and o?
10
Suppose 11*g - 12*g = -8. Let f = 69/2 - 31. Find the common denominator of (-43)/12*(-8)/g and f.
12
Suppose 4 = -3*i + 28. Calculate the common denominator of (99/165)/(66/455) and