
Let a = -2342/55 - -207/5. Calculate the common denominator of a and (-19)/5 + 6/4.
110
What is the common denominator of ((-1)/(12/49))/((-60)/(-120)) and 61/66?
66
Let c(w) = w + 1. Let h(k) = 13*k - 24. Let x(t) = -3*c(t) + h(t). Calculate the smallest common multiple of 27 and x(6).
297
Let r be (0 + -1)/1*4. Suppose 5*f + 26 - 46 = 0. Calculate the lowest common multiple of (0 + r/(-6))*54 and f.
36
Suppose -7 = -u + 1. Let b(r) be the first derivative of r**4/4 + 5*r**3 + r**2/2 + 19*r + 9. Calculate the lowest common multiple of b(-15) and u.
8
Let w = 10 + -4. Suppose -46 = 36*n - 154. What is the smallest common multiple of n and w?
6
Let k = -573 + 669. What is the least common multiple of k and 24?
96
Let h(n) = -2*n**3 - 4*n**2 + 35*n + 42. Calculate the lowest common multiple of h(-6) and 6.
120
What is the common denominator of 14/87 and 292/96 + 24/(-64) - -3?
87
Let i = 148 + -99. What is the smallest common multiple of 70 and i?
490
Suppose -u + 376 = 18*b - 17*b, 0 = 2*u - 5*b - 745. What is the lowest common multiple of 11 and u?
4125
Suppose 3*h - 18 = -3*g, -3*g = -g + 3*h - 14. Suppose g*t + 5*v = 103, -t - 6*v + 7 = -v. What is the least common multiple of 18 and t?
288
Find the common denominator of -7*((-20)/(-135))/(-1) and -91/15.
135
Let m(v) = -22*v - 64. What is the lowest common multiple of 14 and m(-4)?
168
Suppose 19*f = 14*f + 270. Calculate the smallest common multiple of 168 and f.
1512
Let m(o) = o**3 + 11*o**2 + o + 13. Let n(b) = 2*b**3 - 9*b**2 - 6*b - 6. Let j be n(5). What is the smallest common multiple of 2 and m(j)?
2
What is the lowest common multiple of (-9 - 198/(-30))*10/(-4) and 210?
210
Suppose 0 = 3*g - 4*v + 2*v - 1, 0 = -4*g + v + 3. What is the least common multiple of 358 and g?
358
Suppose 0 = -2*b - 5*z - 3 + 36, -3*b - 8 = -4*z. What is the common denominator of 1 - (1 + (-90)/4) and 21/b*6/28?
8
What is the lowest common multiple of ((-12)/(-16))/(14/2520) and 36?
540
Suppose -300 = 2*l - 7*l. Let m be ((-8)/6)/((-8)/l). Suppose v + 4*v = m. What is the smallest common multiple of 5 and v?
10
Let x(y) = y**3 - 13*y**2 - 12*y + 16. Let g be x(13). Find the common denominator of -38/15 and ((-8)/g)/(6/290).
105
Let k = 590 + -588. What is the smallest common multiple of k and 88?
88
Suppose -2*p = i - 11, 3*p - 12 = -7*i + 6*i. Calculate the smallest common multiple of 103 and i.
927
Suppose 4*q - 20 = 0, -5*a + 5*q + 267 = -508. Find the common denominator of (-12)/(-6)*(-142)/a and -17/16.
80
Suppose 11*f = 6*f + 30. What is the lowest common multiple of f and 396?
396
Let f = 964 + -957. Calculate the least common multiple of 96 and f.
672
Find the common denominator of 87/58 + 109/(-56) and -93/8.
56
Let o(b) = b**2 + 8*b + 5. Let u be o(-9). Suppose 0 = 2*l - 3*l + u. What is the least common multiple of 10 and l?
70
Let j(v) = -4*v + 16. Let l be j(-17). Calculate the common denominator of (2/6)/((-80)/l) - -1 and 5/2.
20
Let m(n) = 5 + 6 + 0 + 3*n. Calculate the least common multiple of 11 and m(6).
319
Let w = -11609 - -185811/16. What is the common denominator of -7/1738 and w?
13904
Calculate the common denominator of 469/60 + (-16 - (-664)/40) and -59/494.
2964
Suppose -4*k - 5*a = -288, 23*a - 19*a = -2*k + 144. Calculate the lowest common multiple of 4 and k.
72
Let d be (12/(-5))/(1/(-15)). Calculate the common denominator of (-316)/24 - (-2 + 5) and (-1)/2 - 188/d.
18
Suppose 195 = 99*w - 112*w. Suppose -y + 32 = y. Let q = w + y. Calculate the least common multiple of 1 and q.
1
Suppose -q - u + 2 = 4*q, q + 2*u - 4 = 0. Let w be (-149 - q)/((-10)/(-30)). Find the common denominator of -85/2 and -3 - (w/30 + 3).
10
Let z(c) = -2*c**2 + 13*c + 4. Let d be z(7). Let q(j) = 2*j**2 - 3*j - 7. Calculate the smallest common multiple of q(d) and 4.
20
Let d be ((-50)/8)/(3 - 78/(-18)). Let f = 337/792 - d. Calculate the common denominator of -31/30 and f.
90
Let i be ((-69)/(-402))/((-10)/(-1413) - 0). Let x = 1/335 - i. Calculate the common denominator of x and 44/3.
12
Let l = 502 + -392. Calculate the lowest common multiple of l and 150.
1650
Let z = -2007 - -2009. What is the lowest common multiple of z and 306?
306
Suppose -8*d = 1 - 81. Find the common denominator of d/(-12)*(-146)/20 and -45/4.
12
Let j(x) = x - 10*x**2 - 8*x + 8*x**2 + 10. Let q be j(-6). Let h = -10 - q. Calculate the least common multiple of 3 and h.
30
Let w(l) = -6*l + 50. Let h be w(28). What is the smallest common multiple of (-33)/44 - h/8 and 9?
126
Let q = -1473 + 540. Let z = 7481/8 + q. Calculate the common denominator of 12/11 and z.
88
Let k be -4 + 10/2 - -1. Let n = k - 0. Let r = n - -4. What is the lowest common multiple of r and 12?
12
Let g be 1/3 + 9479007/540. Let f = -17548 + g. Find the common denominator of -73/16 and f.
80
Calculate the common denominator of -4 - (-4)/60*(-118)/4 and -17/273.
2730
Let q be 5/(-13581)*14/2905. Let p = -16523961977/11272230 - q. Let w = -1470 - p. Find the common denominator of w and -25/7.
70
Let z = -13 - -21. Let o be (-12963)/(-15) - (-1)/2. Let m = 864 - o. Calculate the common denominator of m and z.
10
Let h = -558/5 - -1616/15. Calculate the common denominator of -53/105 and h.
105
Let m = -62 - -79. Suppose x = -q + m, 3*x - 2*q = q + 27. Calculate the smallest common multiple of 4 and x.
52
Let n = -7 + 11. Suppose g + 23 = -5*x, -n*g + 3*g + 27 = -5*x. What is the smallest common multiple of (8 - 1)*(-3 + 4) and g?
14
Suppose -9*q + 91 = 4*q. Suppose -26 = -q*b + 2. What is the smallest common multiple of b and 22?
44
What is the least common multiple of (7 - 14/(-1))*1 and 39?
273
Suppose 8*w = 6*w + 18. What is the smallest common multiple of 7 and w?
63
Let y = -148984828108927/41238768118842 + 265/620710559. Let f = y + 6/3691. What is the common denominator of f and 29/8?
72
Let z be (-2)/((-3)/((-45)/(-10))). Suppose 110 - 38 = z*d. What is the smallest common multiple of 30 and d?
120
Let n(d) = -d**2 + 64*d - 308. What is the lowest common multiple of 52 and n(57)?
364
Let y(p) = p**3 - 7*p**2 + 5*p + 3. Let i = 9 + -3. Let n be y(i). What is the lowest common multiple of (11 - n)*(-4)/(-8) and 7?
7
Let i be (6/(-45)*-6)/(7/(-105)). Find the common denominator of 33/2 and (-712)/(-32)*(i/14 - -1).
28
Suppose -2*p + 20 = -4*h, -6*h = -3*h + 15. Suppose 3*v - 5*v + 44 = p. Calculate the smallest common multiple of 14 and v.
154
Let n be (-6)/(-16) - (7 + (-193860)/(-96)). Let h = 6231492/11 + -564478. Let c = n + h. Calculate the common denominator of -87/2 and c.
22
Suppose 4*s = -5*j + 66, 4*s - 4*j - 34 - 14 = 0. Let v(f) be the second derivative of f**3/6 + f**2/2 - f. Calculate the lowest common multiple of v(7) and s.
56
Let a = -14341/60 - -722/3. What is the common denominator of a and -77/30?
60
Let c = -944 - -2882/3. Find the common denominator of 47/24 and c.
24
Let t(v) = -v**2 + 39*v - 293. What is the smallest common multiple of t(11) and 2?
30
Suppose g - 3*q - 26 = -0*g, -4*q = g - 19. Let k be (2 - 1)/(2/(-26)). Let l = k + g. What is the least common multiple of 11 and l?
110
Let g = 1016 - 1001. What is the lowest common multiple of 312 and g?
1560
Suppose -197*r = -196*r - 42. Calculate the lowest common multiple of r and 30.
210
Let q = 6367 + -127291/20. Let a = 257/60 - q. Calculate the common denominator of a and (-15)/(-4)*(-6)/(-4).
24
Let g = 2 + -2. Suppose -6*f + 3*f = 4*m - 103, g = 4*f - 2*m - 130. Let a = -23 + f. Calculate the smallest common multiple of a and 8.
40
Suppose 0 = -5*v - 5*b + 2*b - 13, v + 1 = -b. What is the common denominator of v/(240/117)*2 and 49/16?
16
Let i(f) = -f**3 - 7*f**2 + 16*f + 10. Calculate the least common multiple of 20 and i(-9).
140
Calculate the common denominator of 79/256 and 12*(-5)/(-8 + -102).
2816
Let q(s) = -2*s**3 - 46*s**2 - 8*s - 5. Calculate the lowest common multiple of q(-23) and 8.
1432
Suppose 164 = 4*i - 760. Find the common denominator of 1*(-3)/14*i/14 and -37/16.
112
What is the least common multiple of (-356)/(-12) - (-7)/(-105)*-5 and 45?
90
Suppose -472 = -149*c + 1255 + 359. Let l(y) = -y + 4. Calculate the lowest common multiple of c and l(-5).
126
Suppose -4*c - 2*d + 18 = 0, 11*c + 13 = 13*c + 5*d. Let t = -3 + 5. What is the leas