st common multiple of t(-7) and (-14 - -89)*(-2)/(-5).
30
Let t(i) = -i**2 - 6*i + 7. Let u be t(-7). Suppose 0 = 3*a - u*a - 3. What is the least common multiple of (-3)/(6/(-4))*a and 10?
10
Let i be (2/(-1220))/((-32)/(-147248)). Let m = i + 85/61. What is the common denominator of 113/28 and m?
140
Suppose -12*i = 29 - 77. What is the smallest common multiple of 287 and i?
1148
Let r be (-51)/(-12) - 2/8. Suppose 0 = 10*q - r*q - 234. Let y = q + -28. What is the lowest common multiple of y and 2?
22
Let x = 1385/3 + -466. Calculate the common denominator of -7/253 and x.
759
Let u = -72 - -76. Suppose 0 = 6*k - 7*k + u. Calculate the lowest common multiple of 41 and k.
164
Suppose 25*f - 6*f - 380 = 0. Calculate the smallest common multiple of 55 and f.
220
Let w be (2/3)/(110/(-18) - -6). What is the lowest common multiple of 18 and (w - -2)*(3 + 26/(-4))?
126
Suppose 2*p = -15 + 9. Find the common denominator of 85/(-8)*1*4 and p/(-12)*2 - 44/18.
18
Suppose 14*f = 4*f + 200. What is the smallest common multiple of 16 and f?
80
Let g = 7985/4 + -1974. Calculate the common denominator of g and -59/2.
4
Let u(v) = -392*v**3 - 3*v + 2. Let t be u(3). Let a = t + 105803/10. Calculate the common denominator of 2/7 - (-2596)/224 and a.
40
Suppose -5*p = 4*j - 5, -4*p = 4*j - p - 3. Suppose j = -u + 1 + 1. What is the least common multiple of 2/((-6 - 0) + (-65)/(-10)) and u?
4
Calculate the common denominator of ((-5)/9)/(66/(-44)) and -161/30.
270
Let w = 91734703/12 + -7655425. Let r = -10857 - w. Find the common denominator of r and 7/30.
60
Suppose 4*q + 2 = 2*q. Find the common denominator of (q/((-96)/26))/((-10)/(-20)) and 28/9.
72
Suppose 66 = 2*o - 344. Calculate the least common multiple of o and 1.
205
Let g be 85/5 - (0 - -2). Let p = g - 13. What is the lowest common multiple of p and 9 - (0/2 - -1)?
8
Let r be (-6)/(-4)*(-160)/60. What is the lowest common multiple of 62 and 12/r + 2 - -5?
124
Calculate the common denominator of -83/14 and 42/(-16) + 7/7.
56
Suppose 6*l - 2*l = -20. Let j(m) = m**3 + 4*m**2 - 7*m - 5. Let n be j(l). Suppose 0 = n*b - 0 - 40. What is the lowest common multiple of b and 26?
104
Calculate the lowest common multiple of 255 and 10 + 3 + 2 + 0/2.
255
Suppose 0 = -10*g + 3*g + 35. Let s(z) be the first derivative of -z**2 + z + 1. Calculate the least common multiple of g and s(-4).
45
Let d = -1830 + 5482/3. Calculate the common denominator of d and 4/(-2) - (-102)/(-15).
15
Suppose -2*k + 3 = -9. Let p = -6174 + 6189. What is the lowest common multiple of k and p?
30
Calculate the least common multiple of 21 and 10 + 5*5/75*15.
105
Let u = 31 + -27. What is the common denominator of -1 + (-77)/(-8)*1 and (-81)/44*(u/6 - 0)?
88
Let i(y) = -y + 11. Let j be i(9). Suppose 4 + 4 = j*f. Calculate the common denominator of -71/22 and (-1)/f - 225/144.
176
Let n(u) = -6*u - 137. Calculate the least common multiple of n(-23) and 91.
91
Let l = -118 + 122. Calculate the least common multiple of l and 218.
436
Find the common denominator of 52/136*-6*5/45 and -33/10.
510
Let p be (-6)/(1 + 1 + -5). Suppose 44 = -p*s + 13*s. Calculate the lowest common multiple of s and 7.
28
Let x(n) = n**2 + 0 - 10*n + 2 + 4*n - 66*n**3. Let q be x(4). Let g = q - -76181/18. Calculate the common denominator of -95/16 and g.
144
Let k = -264669/3427 + 1778/23. Calculate the common denominator of k and -67/9.
1341
Let g = 393 - 369. What is the least common multiple of g and 18?
72
Suppose 0 = 2*l + 5*r - 11 - 39, 2*r - 86 = -3*l. Let z(k) = k**2 - 11*k - 12. Let g be z(9). Let s = -12 - g. What is the least common multiple of s and l?
90
Find the common denominator of 11/23 and (5/2)/((-16)/(-728)*7).
92
Calculate the lowest common multiple of (-3)/(-5) + (-572)/(-130) and 55.
55
Let g = 77533 - 20158711/260. Find the common denominator of g and 2202/60 + (-96)/(-120).
260
Let b be 4315 - ((1 - 4) + 4). Let l = 38783/9 - b. Find the common denominator of l and 17/4.
36
Let r be (7/((-70)/72084))/((-34480)/4). Let i = r + -7/431. Find the common denominator of -79/14 and i.
350
What is the common denominator of ((-21)/(1768 - -17))/(6/(-35)) and -73/51?
102
Let o = -23 + 19. What is the least common multiple of 5 and o/14 - 1410/(-35)?
40
Let o = -1159/546 + -4/91. Calculate the common denominator of o and -23/33.
66
Suppose 0 = -2*n - n + 54. Suppose -3*x + 0 = c + 26, -x - 12 = 2*c. Let r = x + n. Calculate the lowest common multiple of r and 10.
10
Suppose 5*t - 195 = -5*u, -3*t + 5*u + 120 = -21. Calculate the smallest common multiple of 132 and t.
924
Let q = 4 - 7. Let y = q - -17. Let d = 23 + -7. Calculate the least common multiple of y and d.
112
Let v(o) = 11*o - 1. Let m be v(-4). Let x be 18/4*(-120)/m. Suppose -2*t = 4*b, -3*b + 5 = -2*t + x. Calculate the smallest common multiple of 1 and t.
2
Suppose -2*c = 3*z - 26, 2*c = -2*z + 4*c + 34. What is the smallest common multiple of z and 24/(-84) + 1270/35?
36
Let f(i) = -i**2 + 12*i + 16. Let q be f(11). Suppose -15*t + q = -6*t. Calculate the least common multiple of 7 and t.
21
Calculate the smallest common multiple of (7 - 6)/(2/8) and 19.
76
Let b = -281/370 + -57/37. Let o = 1039094620/5099 + -203784. Let s = o + 555751/50990. Calculate the common denominator of s and b.
10
Let p = 19 - 16. Suppose 0 = 2*i + 2*i - 12. What is the common denominator of i*(16/12 - p) and -18/5?
5
Let m = 1817 - 7303/4. Let p = -1440 + 14423/10. Calculate the common denominator of p and m.
20
Let k = 58/15 - -563/60. What is the common denominator of (1/(-6))/(6/(-1494)) and k?
4
Let v be 2/(-1) + (-1 - -1). What is the common denominator of 3093/(-420) + 6 - (-6)/15 and (2/4)/(v/(-194))?
28
Let k = 14027 + -55089/4. Let x = -740/3 + k. Calculate the common denominator of x and -1/26.
156
Suppose -2*r - 3*b + 80 = -46, -4*r + 252 = -b. Let w be 42/r + 7/3. Find the common denominator of (-1)/(-10) - w/(-12) and -29/14.
140
What is the lowest common multiple of 530 - (-12)/18*-3 and 3?
528
Let h be (10/288)/((-459011)/91802 - -5). Let s = -12755/4 - h. Calculate the common denominator of s and 9/(-6)*55/3.
72
Let z(k) = -6*k + 4. What is the smallest common multiple of 14 and z(-4)?
28
Let l be (-287987)/10*(-7)/(-14). Let a = l - -14403. What is the common denominator of 49/18 and a?
180
Let v = 17704 + -956045/54. What is the common denominator of v and 119/12?
108
Let a = 2810525/48 + -58555. Find the common denominator of a and -2/3.
48
Let a = -39829/23800 + 7/3400. Find the common denominator of -13/18 and a.
630
Let l(i) = -i**3 - 15*i**2 - 2*i - 14. Let b = 35 - 50. What is the lowest common multiple of l(b) and 20?
80
Suppose 0 = -5*m + 20, -2*l - 3*m = 3*l + 38. Let p = 612 + -1201/2. Find the common denominator of l/7 + 2 - 1 and p.
14
Let r be 4*((-3)/(-2) - 1). What is the common denominator of -62/35 and (r/(-16))/((-7)/(-399))?
280
Calculate the smallest common multiple of 18 and (-198)/(15/12*54/(-45)).
396
Find the common denominator of -16/33 and -2 - (-4 + 45/351).
429
Let o = -96763741/940642260 - 2/540599. What is the common denominator of o and -83/12?
1740
Let k = -23598235/52 - -453785. Let p = 207/26 + k. Let t = -8389/3652 + -7/332. Find the common denominator of p and t.
44
Let z(y) = y**2 + 15*y - 99. What is the smallest common multiple of z(-20) and 4/(-18) + 20/9?
2
Let z = 31035/8 + -3874. Find the common denominator of z and ((-24)/48)/(48/249).
32
Let i = 3/34 - 57/68. Let w be -6*(0 + -2 - -331). Calculate the common denominator of (2/(-6))/(224/w) and i.
16
Suppose -3*w + 7*k - 640 = 2*k, -2*w - 414 = 3*k. Let j = w - -2861/14. Find the common denominator of 19/14 and j.
14
Let r(k) = -14*k + 155. Calculate the smallest common multiple of r(10) and 138.
690
Suppose -38 = -n + 2*s - 10, n + 3*s - 28 = 0. What is the least common multiple of 20 and n?
140
Suppose -3*h - 30 = -6*h. Let a = 16 - 0. Calculate the smallest common multiple of h and a.
80
Let h be 6/4*(0 + 2). Let q(n) = n**3 - 3*n**2 - 3*n + 10. Calculate the smallest common multiple of q(h) and 6.
6
Suppose 5*l - 4*v = -12, -2*l = -0*l - 4*v. Find the common denominator of -4 - (-34)/20*6 and (-26)/10*l - 0.
5
What is the common denominator of 11/170 and -5*18/135 - (-167)/12?
340
