
Suppose v + v = 966. Find the common denominator of v/(-90) - -4 - -3 and -61/9.
90
Calculate the common denominator of -139/30 and (647/96 - 4) + -4.
480
Suppose -3*p = 2*p - 10. Let l = -111 + 113. Suppose -5*c + 3 = -i, -l*i = -6 + p. What is the common denominator of -4/3 and c?
3
Let r be (-152)/(-36) - 2/9. Let d be (-478604)/(-40)*(-2)/r. Let w = -5978 - d. Calculate the common denominator of w and -121/10.
20
Suppose -5*g + 1 = 3*v - 5, -2 = g - v. Let h(u) = -u**2 + u + 3. Let q = 5 - -1. What is the lowest common multiple of h(g) and q?
6
Suppose 5 = -2*l - 0*w + 3*w, 2*w - 14 = -4*l. Suppose -j = l*j. Calculate the least common multiple of 5 and 5 + (-1 - j/(-1)).
20
Let o = 98 - 365/4. Find the common denominator of o and 57/2.
4
Suppose -18 = -2*d - 2. Suppose -5*y + 4*a - 1 = -9, -2*y - 3*a = -17. Let i = y + d. Calculate the least common multiple of 6 and i.
12
Let g be (1 - 1) + 9 + 1146009. Let u = 16057651/14 - g. Let x = -959 + u. What is the common denominator of -29/4 and x?
28
Let f(m) = 2*m - 48. Suppose 0 = -5*y + 43 + 37. Calculate the smallest common multiple of y and f(25).
16
Let m be ((-9)/(-1386))/(4/618). Let r = 11475/364 - 388/13. Let x = r + m. What is the common denominator of -79/2 and x?
22
Suppose -4*k - 301 = -f, -2*f - 5*k = -k - 650. Suppose 0 = -5*u + 618 + f. What is the common denominator of 3034/(-132) - 34/u and 47/2?
6
Let i(z) = -z**3 - 12*z**2 + 2*z + 10. Let v be i(-12). Let o(h) = -h**2 - 18*h - 20. Calculate the smallest common multiple of 18 and o(v).
36
Suppose 4*p - 4*i = 7952, 9*p - 4*p = 2*i + 9955. Let g = p - 43775/22. Find the common denominator of 2 + (-4 - (-171)/6) and g.
22
Let a = 9770 + -117335/12. Find the common denominator of ((-10)/(-12))/(-5) - (-1176)/(-432) and a.
36
Let c(g) = -g**2 + 102*g - 654. What is the smallest common multiple of c(7) and 220?
220
Let b = -461 + 545. Calculate the least common multiple of b and 30.
420
Suppose 2*t + 28 + 12 = 0. Let a = t - -28. Calculate the smallest common multiple of (-48)/15*-1*5 and a.
16
Suppose 5*j + 5 = 0, 0 = 2*u + u - 5*j - 209. Calculate the common denominator of 291/u*(-8)/36 and 101/18.
306
Suppose 3578 = -3*k - 538. Let r = k - -2689/2. Find the common denominator of 2/(-9) - (-557)/(-45) and r.
10
Let s = -4 - -7. Let c = 9 + s. Suppose 0 = 2*q - 153 + 137. Calculate the smallest common multiple of q and c.
24
Suppose 0 = 4*q + 2*b - 16, 0 = -q - 0*q + 5*b - 18. Suppose 5*r - t = 10 + 3, -5*t - 15 = 0. What is the least common multiple of q and r?
2
Suppose -20 + 8 = -2*w. What is the least common multiple of 18 and w?
18
Let c be (-3)/(54306/172820)*(-27)/144. Let b = -52/431 - c. What is the common denominator of 115/18 and b?
504
Suppose 4*x - 8*x + 48 = 0. Suppose -3*o = -9*o + x. Calculate the common denominator of (-774)/2268 - o/(-7) and 107/18.
18
Let z = 4 + 2. Suppose -2*s - 6 = y + z, 5*s = y + 12. Let a = 16 + y. What is the least common multiple of 18 and a?
36
Let n(v) = -2*v**3 - 4*v**2 + 7*v + 5. Let r be n(-5). Suppose -2*h - 475 = -h. Find the common denominator of -55/6 and h/r + 1/(-6).
24
Suppose 5 = 8*k - 283. Let w = k - 24. Calculate the lowest common multiple of 4 and w.
12
Let l = 3887/56 + -303/7. Let o(i) = -7*i - 2. Let x be o(-4). Let h = x - l. Find the common denominator of h and -115/12.
24
What is the common denominator of 83/80 and ((-8095)/(-900) + -9)*-254?
720
Suppose -4 = 4*t - 16. Suppose -5*u - 8 = 17, t*u - 10 = -5*l. Suppose g - 28 = -l*d, 13 = 4*d - 2*g - 1. Calculate the least common multiple of 5 and d.
5
Suppose -3*q = t + 3, 0 = 22*t - 18*t + 4*q - 28. What is the smallest common multiple of t and 8?
24
Let v = -15379/1054054 + 10/719. Calculate the common denominator of v and -23/2.
1466
Let d(y) = y**2 + 50*y + 565. What is the lowest common multiple of 2/8 - (-47)/4 and d(-33)?
12
Let j(v) = 2*v. Let n be 0 + ((-14)/4)/(9/18). Calculate the smallest common multiple of j(5) and ((-4 - n) + -2)/1.
10
Find the common denominator of 2 + (-7 - 1254/(-336)) + -6 + 7 and (1/(-9))/((-8)/654).
168
Let b = -55/27 + 254/297. Let n = -19936552/937 - -21277. Let t = 44045/1874 + n. What is the common denominator of b and t?
22
Let o = 100 + -70. Suppose -2*w - 40 + 106 = 0. Calculate the least common multiple of o and w.
330
Let h = -44528/20325 + -40/813. Find the common denominator of h and 81/10.
50
Let j be (-4)/4*1*2 + 0. Suppose -4*c + 36 = -36. Calculate the least common multiple of (10 - -2)*(j + 3) and c.
36
Let j(n) be the first derivative of -n**4/4 + 11*n**3/3 - 9*n**2/2 - 3. What is the lowest common multiple of j(10) and 14?
70
Let d(m) = m**2 - 13*m - 10. Let c be d(13). Let x be c/25 - 992/(-1805). Let s = 31697/2888 + x. What is the common denominator of -35/8 and s?
8
Let p(d) = -2*d**3 - 4*d**2 - 2*d + 1. Let a(b) = -4*b + 46. Let z be a(12). Calculate the lowest common multiple of p(z) and 10.
10
Suppose 3*i - 372 = 234. Calculate the lowest common multiple of 6 and i.
606
Let s = -109 + 30. Let d = -54 - s. Suppose -4*p + 321 = -5*j, 3*j = p - d - 64. What is the least common multiple of p and 8?
296
Let i = 89/6 - 140/9. What is the common denominator of -13/243 and i?
486
Let i = 9/22748 - -1716313/2934492. Find the common denominator of i and 33/8.
1032
Let i = 13453/7 - 1918. Let j = 31001/8 + -3868. Calculate the common denominator of j and i.
56
Let v = -704165/24 + 29335. Calculate the common denominator of -121/300 and v.
600
Calculate the lowest common multiple of (-16 + 14)/(-3 + (-75)/(-27)) and 12.
36
Let b(c) = 9*c - 59. What is the least common multiple of 336 and b(7)?
336
Suppose 4*c = 55 + 17. Suppose 0 = -5*r - 17 + 107. Calculate the lowest common multiple of r and c.
18
Let k be (-5184)/(-44) - 8/(-44). Let a = k - 106. What is the smallest common multiple of 16 and a?
48
Suppose -3*t + 100 = -4*f, 7*f - 55 = -t + 4*f. Calculate the least common multiple of t and 35.
280
Let t = -14 - -33. Suppose 3*x = -2*d + 19 + t, -5*x - 4*d = -66. What is the lowest common multiple of 4/(-20) + (-36)/(-5) and x?
70
Let d = 0 + -2. Let a be 111246/40 + (d - -3). Let x = -2784 + a. Find the common denominator of x and -145/18.
180
Let b = -419 - -431. What is the least common multiple of b and 32?
96
Let y = -574 - -1163/2. Find the common denominator of y and 3/4*(-218)/(-45).
30
Suppose -181 = -9*w + 224. Suppose d + w = 6*d. What is the smallest common multiple of d and 5?
45
Suppose -16 + 106 = 15*u. Let k(m) = -5*m**3 - 2*m**2 + 4*m + 3. Calculate the lowest common multiple of k(-3) and u.
108
Let d be (3 - 4) + (4 - -1). Suppose i + 3*t = 5, 0 - 5 = -i - d*t. Calculate the least common multiple of i and 7.
35
Let p = 61 - 63. Find the common denominator of -53/38 and -3 - (p + 3*22/36).
114
Suppose 4*v - 5*v = -2. Suppose -4*a + v*r + 115 = 3*r, 5*a + 3*r = 149. Find the common denominator of 67/2 and (8/(-2))/((-10)/a).
10
Suppose -3*a + 24 = p + 2*p, -p = 2*a - 12. Let q = -139 + a. Calculate the lowest common multiple of q/6*(-16)/20 and 12.
36
Find the common denominator of -113/40 and 124/350 - (-2)/7.
200
What is the common denominator of 98/24*(-10)/(650/39) and -1/100?
100
What is the common denominator of 4/(480/(-266)) - (-6)/(-30) and -52/33?
132
Let i = 79345 + -18408001/232. What is the common denominator of 97/18 and i?
2088
Suppose 0*s - 1 = -s. Let p = 69 - 63. What is the least common multiple of p and s?
6
Let h = 3652135118655791/62942 - 58023817459. Let d = h - -10/2861. Calculate the common denominator of -57/22 and d.
22
What is the common denominator of (1/((-50)/(-8)))/((-4)/140) and 34/35?
35
Suppose -2*f + 29 = 5*r + 2*f, 13 = 3*r - 2*f. Suppose -10 = 3*m - r*m. What is the smallest common multiple of m and ((-3)/(-6))/(2/8)?
10
Let s(r) = 2*r + 34. Let z be s(-16). Calculate the common denominator of 15/8 and -163*z/(-8) - (-120)/160.
8
Let b be (404/(-8))/(2/(-8)). Let s be (b/8)/((-4)/20). Let j = s - -5703/44. Find the common denominator of j and -16/3.
33
Let u be -3 - ((-3164877741)/1582438881 - 1). Let y = u - -10975268704997/7988151471288. Let h = -2/1893 - y. Calculate the common denominator of h and -29/26.
104
Let s = 1736 + -1726. Suppose -p - 1 = -13. What is the least common multiple of s and p?
60
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