/30 and w.
270
Let c = 1429/310 - 3/310. Calculate the common denominator of c and ((-168)/(-22))/(-2) - 0.
55
Let z be 6/(-2)*1/(-3). Suppose -4 = 5*n + z. Calculate the smallest common multiple of 6 and (-11)/(-11)*(0 - n).
6
Let h = -8774 - -3013. Let q = -10264691 + 154056739/15. Let n = h + q. Calculate the common denominator of n and -23/6.
30
Let q = -4502 + 6664. What is the smallest common multiple of 6 and q?
6486
Find the common denominator of -21/190 and (2002/(-24))/7 + (-114)/(-19).
1140
Suppose q + 4*q = 200. Let u = 83 - 109. Calculate the common denominator of q and u.
1
Let y be (14/3)/(3/198). Calculate the common denominator of -75/4 and (-28)/(-3)*(-42)/y.
44
What is the least common multiple of 5/15 - (-44)/3 and 27?
135
Suppose -6*p = -2*p + 876. Let o be (-2)/10 + p/5. Calculate the lowest common multiple of (19/76)/((-1)/o) and 2.
22
Let j be 710/(-138) + (-3)/9. Let a = j - -1171/92. Calculate the common denominator of a and 73/8.
8
What is the common denominator of (-3)/44*(-18)/(-351)*-56 and -6/143?
143
Suppose 16*y + 16 = 20*y. Let b(d) = -7*d**3 + 2*d**2 - 1. Let v be b(-1). Suppose 4*w - v*w + 4 = 0. What is the least common multiple of w and y?
4
Suppose 269 = -h - b, 3*h + 5*b + 565 + 238 = 0. Let y = h - -1009/4. Find the common denominator of -13/36 and y.
36
Calculate the common denominator of 89/38 and (-11)/(121/(-2)) + 2852/(-440).
190
Let n be -2 + 4/((-8)/(-2)). Let r be (0 - 0)*n/(-2). What is the least common multiple of 11 and (-2 + 1)*-3 + r?
33
Let s = -1751/190 - -101/19. What is the common denominator of s and 46/5?
10
Suppose 10 = -2*w + 2*j, -j + 5*j = -20. What is the common denominator of 61/6 and (1472/360)/(12/w) + 1?
54
Let n = -142 + 146. Calculate the lowest common multiple of (-24)/(3 - 5) + -3 and n.
36
Let y = -3/8 + 485/24. Let b be 32 - (0 + (-6)/(-3)). Find the common denominator of (-16)/30*25/b and y.
18
Calculate the common denominator of 25/144 and 22/66 + 1 + (-398)/120.
720
Suppose -10*d + 847 = -113. Calculate the smallest common multiple of 18 and d.
288
Let m(x) be the second derivative of x**4/4 - x**3/2 - x**2/2 - 3*x. Let t be m(5). Find the common denominator of -67/10 and 4/12 + t/12.
20
Suppose -9 = 4*o + 3*v, 5*v + 12 = -3*o + v. Suppose o*g + 12 = 4*g, -4*k + 3*g + 139 = 0. Calculate the smallest common multiple of 1 and k.
37
Let h be (2 + -2 - 2)*-1. Suppose 3*n + 22 = t + 65, 5*n + h*t = 68. Find the common denominator of (343/n)/(2*2) and -77/2.
8
Let p = 3733/27 + -1264/9. Find the common denominator of -68/3 and p.
27
Suppose -13*g - 790 = -2896. What is the least common multiple of g and 33?
1782
Let y(c) = 7*c - 57. Let i be y(23). Let z = -88 + i. What is the least common multiple of 44 and z?
176
Let z(t) = -t**3 + 4*t**2 + 3*t + 4. Let n be z(5). Let s be 16/n*(-33)/(-4). What is the least common multiple of (-150)/s - (-4)/22 and 8?
56
Suppose -a + 15 = -5*l, -4*a + 10 = -2*l + 7*l. Suppose -17 - 3 = -5*k. What is the smallest common multiple of k and 6/(-15) - (-57)/a?
44
Let z(f) be the second derivative of 4*f**3/3 + 3*f**2/2 - 7*f. Let j be z(-6). What is the common denominator of (-2)/(-4) + (-3)/j and 33/5?
30
Calculate the least common multiple of 3 and (2 - (11 + -7)) + (-248)/(-2).
366
Let m(u) = u**2 - 10*u + 24. Let a be m(7). What is the smallest common multiple of 4 and a/(-1) - (60/2)/(-3)?
28
Let k = -7 - -5. Let u be (2/1)/(k/(-32)). What is the common denominator of ((-2)/3)/(u/(-248)) and 13/8?
24
Let m = 35388/11 - 3222. Let c = 147400 + -2211916/15. Let t = -57 - c. What is the common denominator of t and m?
165
Let l(o) = 6*o**2 + 18*o. What is the lowest common multiple of l(2) and 24?
120
Let r be (-66)/(-9)*(-7 + -5). Calculate the common denominator of r/(-21) + 8 + -12 and -127/30.
210
Suppose 0 = 5*k - 8 - 2. Let i(v) = 34*v**2. What is the least common multiple of i(-1) and k?
34
Let h = -6569/168 + 838/21. Calculate the common denominator of h and -63/80.
560
Suppose -5*z + 78 - 18 = 0. What is the least common multiple of 16 and z?
48
Let z = -538 - -2173/4. What is the common denominator of z and 5707/(-845) - (-2)/13 - -4?
20
Suppose 12*c - 7*c - 130 = w, 2*c = 4*w + 52. Calculate the lowest common multiple of c and 134.
1742
Suppose 4*j = 3*z + 2*j - 39, z - 8 = -j. What is the lowest common multiple of z and 4?
44
Let y = 1 + -1. What is the common denominator of (-29)/(-4)*(y - -2) and (-7 + (-581)/(-84))*(-177)/(-5)?
20
Let m(c) = -c**3 + 6*c**2 + 8. Let p(v) = v. Let o be p(6). What is the smallest common multiple of m(o) and 1?
8
Calculate the common denominator of ((-1824)/256)/((-538)/(-4)) and -1/14.
7532
Let v(i) = -2*i + 14. Let g be v(5). Suppose -x = 3*x + y - 107, 104 = 4*x + g*y. Calculate the least common multiple of x and 8.
216
Find the common denominator of (-20 + 258/12)/((-27)/(-83)) and 51/76.
684
Let x = -64 + 34. Let q = -20 - x. Suppose 17*a - 27 = -2*r + 12*a, 0 = 2*r + 2*a - 24. What is the smallest common multiple of r and q?
110
Let y(z) = -146*z - 679. What is the least common multiple of y(-5) and 354?
6018
Calculate the common denominator of -27/17 and ((-25)/(-30))/((-3)/(-12)*-2).
51
Let z = -57780/2543 - -121341479/10207602. Let s = 1/2007 + z. Calculate the common denominator of (-2)/(-32)*(28 + 1) and s.
48
Let i(x) = -2*x + x**3 + 2 + 8*x**2 + 4*x + 4*x. Let n = 11 + -4. What is the smallest common multiple of i(-7) and n?
63
Suppose 35 = 5*t - k, -2*t + 15 = 3*t - 5*k. What is the lowest common multiple of t and 102?
408
Let p be ((32/(-641))/(-4))/2. Let c be 1 + 127/14102*-287. Let a = c - p. Find the common denominator of -145/12 and a.
132
Calculate the smallest common multiple of 9 and (-28)/(-7) + -7 - -21.
18
Let m = -13373/7 - -1835. Let p = m + 1979/28. What is the common denominator of p and -23/6?
12
Let v = -986 + 1022. What is the lowest common multiple of 60 and v?
180
What is the common denominator of 4/(-10)*10/(-48) and ((-6)/(-56))/(515/(-130) + 4)?
84
Let j = 282 + -46. What is the lowest common multiple of 2 and j?
236
Let u = 2/15655 - 2363917/93930. What is the common denominator of (1/(-6))/((-15)/580) and u?
18
Suppose -1 = l, -7*c - 5*l - 60 = -12*c. What is the smallest common multiple of c and 12?
132
Let a = 28 + -34. Let v = a - -16. What is the lowest common multiple of 4 and v?
20
Let d be 8/(-20) + 44/10. Let w = 3 + d. Calculate the common denominator of 33/44 + w/4 and -117/10.
10
Let c be 7*-1 + -7*4/(-14). Let d(z) = -7*z**3 - 3*z**2 + z + 2. Let f be d(-2). Calculate the lowest common multiple of f/c*(-5)/2 and 10.
110
Let h be 3/(2 - 701/(-704) - 3). What is the common denominator of 3 + (2/(-3))/(h/912) and -69/2?
22
Let p = -6 + 80. Suppose -5*l + p = -36. Let n = -235 + 245. What is the smallest common multiple of l and n?
110
Let r(a) = a**3 - a**2 + 8*a - 4. Let v(x) = -x**2 - 5*x + 10. Let s be v(-7). Let g be r(s). Let n = 162 + g. Find the common denominator of 91/8 and n.
8
What is the common denominator of -99/14 and (-30)/292*(462/560 - 1)?
8176
Let p be 3*7/(-14)*(-742)/(-216). Let y be 57/(-4)*2/54. Let d = p - y. Find the common denominator of -111/10 and d.
40
Suppose -5*z - 166 = -2*v + v, -4*v + 169 = -5*z. What is the common denominator of 117/40 and 11/z - 271/24?
40
Let x = 989/3 + -340. What is the common denominator of -19/291 and x?
291
Let i = 7 - 10. Calculate the least common multiple of i*(-2 - (-8)/(-12)) and 1.
8
Let i(z) = -z**2 - 5*z + 10. Let u be i(3). Let y(l) = l**2 + 14*l - 29. Calculate the common denominator of y(u) and 77/24.
24
Let b(g) = 805790*g + 7. Let v be b(9). Let l = -174079645/24 + v. Let c = l + 3622/3. What is the common denominator of c and 17/2?
24
Let m = 117192 + -10547117/90. Find the common denominator of m and -61/15.
90
Suppose 2*x - y = 39, 0*x = 5*x - 3*y - 97. Suppose 0 = -3*v - 2*v + 80. Calculate the smallest common multiple of x and v.
80
Suppose 78*m + 72 = 90*m. Calculate the lowest common multiple of 178 and m.
534
Let j = -318655/189 + 1686. Let c = j + 413/54. What is the common denominator of c and 57/10?
70
Suppose -5*z - 11 = 3*y + 11, 0 = -y + 3*z + 16. Calculate the common denominator of -81/22 and 3/y + 880/(-256).
176
Suppose 6*j + 0*j = 120. Let q = -33 + 22. Let 