 v = 1/10 + y. What is the common denominator of 5/8 and v?
24
Suppose -3*k + 44157 = -3*z + 43980, 3*z - 231 = -5*k. Let g = -13 - -19. What is the least common multiple of g and k?
102
Suppose 5*k - 3*a = 67, -k + 5*a + 10 = 1. Let l = -3553/3 + 1199. Let q = l - k. Calculate the common denominator of q and -4/11.
33
Suppose c = 2*c + 3*o + 27, -o = 2*c + 39. Let q = c + 58. Suppose 17*z - 21*z = -q. What is the smallest common multiple of 11 and z?
110
Let h = 4619/5846 - 29/37. Let m = -25279922 - -107844146435/4266. Let l = h + m. Calculate the common denominator of l and -65/18.
54
Let j = -10829/3 + 3183841/882. What is the common denominator of j and -121/10?
4410
Let g = -344 + 329. Let k(b) = -b**3 - 14*b**2 + 12*b + 9. What is the smallest common multiple of k(g) and 30?
270
Calculate the common denominator of 143/36 and ((-6)/100 - 1)/(41/((-779)/(-38))).
900
Let a be 10/(-2 + (-27)/(-12)). Suppose -4*m = -16 - a. Suppose -2*i + 12 = -z, -3*i + 2 + 18 = -2*z. What is the smallest common multiple of i and m?
28
Let v = 159 - 181. Let m = -20 - v. Calculate the lowest common multiple of m and 181.
362
Let y = 1180/53 + -43/2. What is the common denominator of (5/(-25))/(2/355) and y?
106
Let m = -50806/3 + 13972109/825. Let u = m - -1452/25. Let x = -6967/110 + u. What is the common denominator of -23/12 and x?
60
Let j be -3*(-163)/648 - 1. Let k = j - -10/27. What is the common denominator of k and (2*4/(-30))/((-423)/(-4935))?
72
Let i(c) = 1487*c + 12240. What is the least common multiple of 44 and i(-8)?
3784
Let x = 2 - -1546. Let n = -23161/15 + x. Let z = -14865 + 401410/27. Calculate the common denominator of n and z.
135
Suppose 4401 = 12*r + 3097 - 25228. What is the least common multiple of r and 603?
6633
What is the smallest common multiple of (451/(-164))/((-1)/4) and -6 + 9 - 0/2?
33
Calculate the least common multiple of 10 and (-2534)/5*(8 - (153/6 + -15)).
12670
Suppose 19*o - 852 = 2340. Suppose -198 = -5*w - c, 0 = 4*w + 10*c - 6*c - o. Calculate the lowest common multiple of w and 91.
273
Let p = -1292/29 - -45568/1015. Find the common denominator of p and -19/1302.
6510
Let t = -2004 - -1966. Let s(i) = i**3 + 10*i**2 + 12*i - 8. Let z be s(-9). What is the common denominator of t and 54/(-20)*z/(-28)?
8
Suppose -76*d + 39909 = -46275. What is the lowest common multiple of d and 1260?
11340
Suppose 24 = -0*n + 4*n. Let g = 1424 - 896. Suppose -10*t - g = -26*t. Calculate the smallest common multiple of n and t.
66
Let a = 105956881931/212766890 + -1586727/3155. Let k = a - -4/4817. Find the common denominator of -24/11 and k.
154
Let b be 3 + 7 - (3 - -1). Suppose -237 = b*s + 9. Find the common denominator of 71/4 and ((-12)/90)/(s/(-33) - 1).
20
Suppose 2*x = -3*y + 250, -y - 5*x + 90 + 2 = 0. Let i = 195 - y. Calculate the least common multiple of 1 and i.
113
What is the least common multiple of (21 + (-285)/(-19))/(12/8) and 258?
1032
Let f = 15570/11 + -748163/528. Let l be 0 + (117/2 - 21/14). Calculate the common denominator of f and (-1025)/20*(1 - l/55).
528
Suppose -4*x = -9*x + 520. Let y(a) = a**3 + 56*a**2 - 650*a - 4193. Calculate the lowest common multiple of x and y(-65).
416
Let t(w) = 5*w**2 + 138*w + 662. Calculate the smallest common multiple of t(-6) and (-3)/2 - ((-945)/10 + 5).
616
Let j(u) = 2*u**2 + 9*u + 3. Let p be j(-4). Calculate the common denominator of (-25)/(5/p) + 741/(-108) and -81/56.
504
Let j(l) = -7*l**3 + 2*l**2 - 3*l. Let g be j(1). Calculate the common denominator of (-11)/2 - 2/(-8) and 108/66 - ((-12)/g - 0).
44
What is the common denominator of -32/21 and 53 + -57 - (12/16 + (-3170)/696)?
609
Let m be -5 - 24011*106/(-116). Let k = m - 21937. What is the common denominator of k and -91/6?
174
Let r = 18268 - 182623/10. Find the common denominator of -71/12934 and r.
64670
Suppose 5*t + 38 = -5*w + 63, -3*w - t = -25. Suppose 2 = 4*k - 14. Calculate the lowest common multiple of w and k.
20
Let v = 379255410541130 + -1482262883788415977343/3908350. Let r = v + 1/78167. Find the common denominator of r and -53/30.
150
Let n(f) = 24*f - 4*f - 54 + 48. Let i be -1*(-2)/(-4)*(0 + -2). Calculate the lowest common multiple of n(i) and 4.
28
Let b = 289/108 + -22/27. Find the common denominator of 79/1440 and b.
1440
Let f = 47 + -62. What is the smallest common multiple of 10/f*(-22 + -5) and 63?
126
Let t = 25 + -96. Let d = -49 - t. Calculate the lowest common multiple of d and 10.
110
Let y = -293/52 - 107/26. What is the common denominator of 9/316 and y?
316
Suppose 8*r - 8 = 8. Suppose -z + 5 = r. Calculate the common denominator of (142/52)/(z + -2) and 91/20.
260
Let q = -1426 - -3602. What is the least common multiple of q and 4?
2176
Calculate the common denominator of 19/1199 and (10/(-630)*7)/(-1 - 324/(-106)).
10791
Let r = 641 + -632. Let y(q) = q**2 + 15*q + 8. What is the least common multiple of y(-15) and r?
72
Let a = 2/2255163 + -19547332/2915925759. What is the common denominator of 13/9 and a?
3879
Let y(z) = z**3 - 19*z**2 + 18*z - 24. Let c = -22 + 40. Let w be y(c). Calculate the common denominator of 119/6 and 231/w + 4 - 0.
24
Let z = 51 - 47. Suppose -5*s + 837 = z*s. Calculate the lowest common multiple of 21 and s.
651
Let k(v) = -15*v + 192. What is the least common multiple of 510 and k(-28)?
3060
Calculate the lowest common multiple of (8 + -3)*(-792)/(-90) and 1260.
13860
Let g = -19445717/1050 + 55558/3. Find the common denominator of -139/280 and g.
1400
Let m be 2884/30 + (-52)/390. Suppose -2*l - 48 = -5*l. What is the common denominator of 40/11 and (l/m)/((-1)/85)?
66
Suppose -2*w = 3*f - 8*f + 10129, -3*w - 4*f - 15136 = 0. Let g = w + 45536/9. Find the common denominator of g and 91/6.
18
Suppose 81 = 4*p + u, 0 = -0*p - 2*p - 5*u + 45. Suppose 0 = 5*i - 3*c - 300, 5*c = 33*i - 32*i - 60. Calculate the smallest common multiple of i and p.
60
Suppose -19*a + 439 - 135 = 0. Suppose -23*y + 336 = -a*y. Calculate the smallest common multiple of y and 56.
336
Let c = 215875/226982 + 2/3661. Calculate the common denominator of c and -35/279.
558
Let p = 2/37 + 434/185. Let h be 2/7 + 12246/231. Let u = -525/11 + h. What is the common denominator of u and p?
35
Let k(v) = -v**3 - 8*v**2 - 27*v - 20. Calculate the smallest common multiple of 2280 and k(-5).
2280
Find the common denominator of (0 - 8) + -14 + 28/24 and -69/1598.
4794
Let q(h) = 10*h - 102 + 89 + 103. What is the lowest common multiple of q(-6) and 8?
120
Let s(l) = -17*l + 4*l**2 + 5*l**2 + 12 + 2*l**2 - 8*l**2. Let a(f) = -f**3 + 7*f**2 + 6. Let n be a(7). What is the least common multiple of s(n) and 56?
504
Suppose 43*t - 42*t = 4*o - 3039, -5*t = 2*o - 1525. What is the smallest common multiple of o and 2?
760
Suppose 2*o = -16*o + 108. Suppose 8*l - o*l + 160 = 0. What is the common denominator of (-3 - 52/l - 3)*-1 and 23/15?
60
Calculate the common denominator of ((-131)/18)/(6/(-9)) and 5994/252*4/144*6.
84
Let v(l) = 7*l**2 - 36*l + 9. Let z = 26 - -6. Calculate the lowest common multiple of v(5) and z.
32
Let l be (0 - (-2 + -95))/(2/(-12)). Let g = -526 - l. What is the least common multiple of 96 and g?
672
Let a = -29 - -34. Suppose -2*n + 6 = -5*b, 2*b - 5 - 1 = a*n. Calculate the lowest common multiple of (4/6)/(n/(-24)) and 4.
8
Let q = -985 + 1483. Calculate the common denominator of 25/2 and 20/(-12) + 814/q.
498
Let y(c) = 8 - 46 + 8*c + 3 - 33. What is the least common multiple of y(12) and 8?
56
Let c = 26559/7310 + -273/86. Find the common denominator of c and 95/3332.
16660
Suppose -2*t - j = 26, j + 42 = -2*t + 4*j. What is the common denominator of 3/4*(-27)/10 and ((-88)/(-36))/(16/t)?
120
Let h(m) = -93*m**2 + m - 1. Let c be h(1). Let v = 125 + c. What is the lowest common multiple of v and 88?
352
Let l = -209539/4206558 - -2/13929. Calculate the common denominator of l and -34/15.
4530
Let l = -48285 - -38772843/803. What is the common denominator of 18/11 and l?
803
Let o = 9 - -15. Suppose 0 = 5*z + 71 + o. Let a = 75/2 + z. What is the common denominator of a and 23/40?
40
Let u = -97 - -98. Let t be (-5 + u)*(-27056)/(-26640). Let x = -9/185 + t. Calculate the common denominator of x and -76/27.
27
Let f(p) = p**3 + 4*p**2 + 2*p. Let d