 w = 15 + f. What is the smallest common multiple of w and 1/(15/12)*10?
8
Let u(l) = l**3 - 20*l**2 + 7*l - 10. Let f be u(19). Find the common denominator of (f/924)/(-2*(-1)/18) and -45/14.
154
Find the common denominator of -25/24 and ((-2)/495*-25)/(-1).
792
Let r be (-6)/(-9)*(-18)/(-4). Let v(m) = m**2 - m + 3. Calculate the lowest common multiple of v(r) and 8.
72
Let z(o) = o**3 + 8*o**2 + 2*o + 1. Find the common denominator of z(-3) and ((-1)/(-6)*2)/((-32)/(-1320)).
4
What is the common denominator of ((-1469)/678)/((-128)/36) and (2/24)/(1/(-59))?
192
Suppose -8*y + 16 = -4*y, -5*p + 40 = 5*y. Let x(b) = -7*b - 25. Let g be (1/(-3))/(-5 + 427/84). Calculate the smallest common multiple of x(g) and p.
12
Calculate the least common multiple of 4 and 4*-1 + (10800/9)/8.
292
Let i = -6661 - -133119/20. Find the common denominator of i and -53/12.
60
Let j = -52919/13 - -4074. Find the common denominator of j and -9/13.
13
Let l = 875 + -6138/7. Let u = -31459/14 + 2241. Calculate the common denominator of l and u.
14
Suppose -5*i - 19 = -3*y, 4*y = -0*y - 4*i + 4. Let p be (4/(-8))/(1/(-472)). Calculate the common denominator of -18 and p/40 + -1*y.
10
Let l = -40 - -25. Let r = l - -24. Suppose 4*v + 3*u + 0*u - 17 = 0, -3*v - 3*u + r = 0. Calculate the least common multiple of v and 14.
56
Let h(a) be the second derivative of -a**4/12 + a**3/6 + 4*a**2 + a. Let j = 2607 + -2597. Calculate the least common multiple of h(0) and j.
40
Suppose -5*n = m - 3, 8*n - 5*n = 0. Suppose -5*y - 19144 = -m*y. Let a = -172403/18 - y. Calculate the common denominator of a and -103/6.
18
Let j = -102 - -147. What is the smallest common multiple of 35 and j?
315
Let u = -28/271 - 8729/7317. Calculate the common denominator of 11/153 and u.
459
Calculate the common denominator of (-2 - (-340)/75) + (-3)/(-15) and -49/72.
360
What is the common denominator of -33/16 and ((-166)/(-140))/((-624)/390)?
112
Let t be 8/2 + (12 - 8). Suppose -t - 8 = -2*o. What is the lowest common multiple of 14 and o?
56
Let i = 61 + -51. Calculate the smallest common multiple of (1 + -2)*(i - 15) and 3.
15
Let x = -86827/9045 + -1/1809. Let f = -10574/5 - -241702/115. Let n = f + -799/138. Calculate the common denominator of x and n.
30
Let x = -32 - -35. Suppose 2*j - 11 + x = 0. Let l(d) = -d**2 + 2*d + 9. Calculate the smallest common multiple of l(j) and 4.
4
Suppose 15*w + 342 = 6*w. What is the smallest common multiple of 20 and (2/(-1))/(-2) + (5 - w)?
220
Suppose 6*t + 18 = 5*t. Let h = t - -29. What is the lowest common multiple of h and 1?
11
What is the common denominator of -2 - (-4)/(-70)*65 and -20?
7
Suppose 2 = g - 7. Suppose -4*p + 2 = -2*x, -2*p - 2*x + 5 = x. Calculate the smallest common multiple of p and g.
9
Let b = -16912 + 1606673/95. Calculate the common denominator of -67/2 and b.
190
Let b(t) = -1 - 5 + 20*t - 4 + 12*t. Calculate the lowest common multiple of 20 and b(2).
540
Let v = 187171/16 + -11704. Calculate the common denominator of v and -49/8.
16
Let i(j) = -j**2 + 2*j + 5. Let g be i(5). What is the smallest common multiple of (-4 + (-32)/g)*-5 and (-2 - -1)*(-1 + -1)?
4
Suppose 0*h - 48 = -6*h. Let n(i) = -i**2 + 6*i. Calculate the least common multiple of n(5) and h.
40
Let s = -48/17 + 401/425. Calculate the common denominator of s and -27/11.
275
Let u = -49957/5 + 15387091/1540. What is the common denominator of u and 69/196?
2156
Suppose 2*g - 18 = -g. Let o be ((-16)/28)/(g/(-21)). Suppose o*s = -s + 15. What is the smallest common multiple of s and 9?
45
Let a be -1 + (-3)/(-5) - 4148/5. Let q = a - -1699/2. Calculate the common denominator of 101/54 and q.
54
Suppose 0*s - 2*s = 88. Let q be ((-11)/s)/(1/(-1579)). Let u = q - -399. What is the common denominator of u and -31/10?
20
Let r(s) = s**3 - 4*s**2 + s + 3. Let u be r(5). Suppose -6*f = -3*f - u. Let h = -1159 - -1163. Calculate the least common multiple of h and f.
44
Suppose 0 = -o - 5, 5*s - 3*o + 30 = -8*o. Let h be 7 + (s - (3 - 0)). What is the common denominator of 1/2 and (-156)/160*(h - -1)?
10
Let q = 3935/1562 - 124/71. Calculate the common denominator of q and 0/73 - (17/18 + 1).
198
Let k = 313/156 - 29/12. What is the common denominator of 121/60 and k?
780
What is the common denominator of (-42)/(-35) + 2210/(-1650) and 61/33?
165
Suppose 2*o + 4*g = 30 + 46, 6*o - 143 = 5*g. Calculate the least common multiple of o and 28.
28
Let a(r) = -r + 10. Let t(u) = -u + 9. Let m(n) = 3*a(n) - 4*t(n). Let j be m(8). What is the smallest common multiple of 8 and 654/33 + j/11?
40
What is the common denominator of -73/10 and (-12)/(-39)*155/100?
130
Let g(i) = -i**3 + 9*i**2 + 7*i + 85. Calculate the least common multiple of 190 and g(10).
2090
Suppose -760 = -7*x - 410. Suppose 14 = f - 5*b - 16, -3*f = -4*b - 68. Calculate the least common multiple of f and x.
100
Let g = -1 - -4. Calculate the common denominator of (2 - (-458)/(-120)) + (-3)/9 and (-3)/(-2)*g/4.
40
Suppose -3*q = 2*q + 20, 3*b + 100 = -q. What is the lowest common multiple of 33 and 5/(75/(-6))*5 - b?
330
Suppose -6*g + g + 135 = 0. Let b be 18/g*(-9)/(-2). Suppose -18 = -0*h - b*h. Calculate the smallest common multiple of 14 and h.
42
Let p = -18359/32 + 574. Calculate the common denominator of -95/48 and p.
96
Let z(x) = -2*x + 3. Suppose u = -4, -2*l + 4*u - 5*u = 10. Let g be z(l). Suppose 0 = 2*k - k - g. Calculate the lowest common multiple of 9 and k.
9
Let r = -1467/8 - -183. What is the common denominator of 43/62 and r?
248
Let x = 2547235/99 + -25730. Find the common denominator of x and -97/330.
990
Let d(p) = -p**3 + 9*p**2 + 13*p - 14. Let y be d(10). What is the common denominator of 119/6 and 17/6 - y/(-72)?
18
Suppose -30*z = -34*z + 12, y - z = 177. What is the lowest common multiple of 30 and y?
180
Let n = -26161 + 1046529/40. What is the common denominator of n and -43/8?
40
Let b(z) = z**2 + 11*z + 7. Let m be b(-10). Find the common denominator of 236/46 - (1 - m) and 56/3.
69
Let d be (8/6)/((-3)/(-9)). Suppose 11*z = s + 13*z + 4, -12*s - 5*z = -66. What is the smallest common multiple of s and d/(-10) - 82/(-5)?
16
Let m be (-8 + 1)*(48/14)/4. What is the common denominator of (-76)/m*4/(-8) and 85/6?
6
Let a(b) = -3*b**3 + 2*b + 1. Let t(j) = 2*j**2 - 28*j + 66. Calculate the smallest common multiple of a(-1) and t(12).
18
Suppose -44 - 16 = -5*j. Let s = j - 8. What is the least common multiple of 12 and s?
12
Let t(u) = -2*u**2 + 9*u. Let h be t(4). Find the common denominator of 0 + h + (-129)/(-42) and -81/10.
70
Let w(a) = -a**3 - 23*a**2 - 28*a - 2. Let c be w(-19). Let u = c - -16445/18. What is the common denominator of -35/4 and u?
36
Let h be (-6)/(-4 - 4/(-2)). Suppose h*t - 3 = -3*n, 4*n + n - 55 = 5*t. Calculate the smallest common multiple of n and ((-33)/(-1))/((-3)/(-2)).
66
Suppose -2*o + 6*u = -88, -123 = -2*o + 3*u - 29. Calculate the smallest common multiple of 50 and o.
50
Suppose -6*o = -9*o + 12. Suppose 0*i - 28 = -o*i. What is the least common multiple of i and 18?
126
What is the common denominator of ((-46)/828)/((-2)/66) and 53/81?
162
Let u = 104 + 571. What is the lowest common multiple of 7 and u?
4725
What is the common denominator of (1 + -3)/((-192)/318) and (-4 - 78/(-20))*17/2?
80
Suppose 6*p - 12 = 7*p. What is the common denominator of (25 - 5)*p/50 and 2 + (-2)/(-4) - -1?
10
Let k = -1281172196217/158 + 8108653233. Let i = k + 31553. Calculate the common denominator of i and 97/8.
632
Suppose -5*b = 5*o - 40, b + 6*o = 4*o + 7. Suppose -17 - 7 = 3*t - 3*q, t - 2*q + 4 = 0. Find the common denominator of 6/b + 97/t and 59/14.
84
Suppose -75*k = -66*k - 117. Calculate the smallest common multiple of k and (-1)/(-3) + 20/3.
91
Let g be (-1)/((2 + -6)/16). Let f be g/(-18) + (-102)/27. Let k(n) = n**3 + 5*n**2 + 4*n + 5. Calculate the smallest common multiple of 2 and k(f).
10
Calculate the common denominator of 57/8 and ((-3)/(-5))/((-52)/30).
104
What is the common denominator of 26/95 and (13871/(-990) + 14)*352/(-6)?
2565
Calculate the smallest common multiple of 8 + -3 + 40 + 3 and 44.
528
Suppose -3*n = -5*n + 48. Let w be (-258)/8 + 1/4. What is the smallest common multiple of 18 and (w/n)/((-2)/24)?
144
Let j = -13 + 349