42))/(4/(-14)). Calculate the common denominator of h and (106/76)/(m/(-4)).
209
Let g(f) = -3*f**2 + 190*f - 53. Suppose -12 + 4 = -j - i, -3*j = -5*i. Calculate the least common multiple of j and g(63).
10
Find the common denominator of 52/15 and ((-1)/6)/((-15)/250).
45
Let b = 920/33 + -72/11. What is the common denominator of -83/33 and b?
33
Let f = 33682/65 + -2587/5. What is the common denominator of f and 13/35?
455
Let a = 19/759 - -44173/24288. Find the common denominator of a and 115/876.
7008
Let h = -6404737 - -14064805841/2196. Let n = h - -3/244. Calculate the common denominator of n and -61/22.
198
Suppose 5 = 4*b - 3. Suppose s + 117 = 2*n - 0*s, -5*n = b*s - 270. Let c = n + -36. Calculate the least common multiple of 20 and c.
20
Let b = 37 + -24. Suppose -5*p + 2 = -b. Calculate the smallest common multiple of p and 3.
3
Let f = 2296 - 68869/30. Calculate the common denominator of 31/8 and f.
120
Suppose -6*l + 4*l - 3738 = 0. Let g = -11372875/6056 - -1572/757. Let k = g - l. Calculate the common denominator of k and 77/6.
24
Let m = -1075 + 228. Let a be -3 - 3385/m - 1. Let s = a + -71989/1694. Find the common denominator of 1 and s.
2
Let j be ((-27)/66)/((-3)/18). Let i = 497/44 + j. Calculate the common denominator of -53/7 and i.
28
Suppose -4*z + 3 = -5*o - 7, -2*z = o + 2. Let w(x) = x**2 - 6*x - 4. Calculate the lowest common multiple of 446/34 + o/17 and w(7).
39
Let m = 63 - 48. Let u = -37 + 60. Let i = u - 12. What is the lowest common multiple of i and m?
165
Let w = 1/1832 - -44869/27480. Calculate the common denominator of w and -29/30.
30
Let g(v) = -v**3 + 5*v**2 + 8*v - 8. Let k(l) = -5*l + 1. Let f be k(-1). Calculate the smallest common multiple of g(f) and (-1)/((-1)/(3 - -1)).
4
Let q be (5/(-36))/(366/9420). Let x = q - -540/61. Calculate the common denominator of 163/30 and x.
90
Let d = -393983/8 + 49138. Let r = d - -2731/24. Let o = 9069 - 126975/14. Find the common denominator of o and r.
84
Let u be (3/(-4) - 1735448/(-224)) + 3. Let k = 7757 - u. Calculate the common denominator of k and 69/16.
112
Suppose -2*y - 51 - 14 = -5*x, 4*y + 85 = x. What is the least common multiple of 8 and -2 + (-2 - -5) - (y - -7)?
56
Suppose -j - 7*k = -3*k - 1634, -3*k = -3*j + 4887. Let t = 6489/4 - j. Let r = -255 + 712/3. Find the common denominator of r and t.
12
Let l(w) = 2*w - 9. Let h be l(6). Suppose -2*v - 28 = -2*x + 2*v, -h*x - 5*v + 20 = 0. What is the least common multiple of x and 2?
10
Let i = -6029 - -72251/12. Find the common denominator of 45/136 and i.
408
Let s(x) = 3*x**3 - 7*x**2 - 3*x + 9. Calculate the lowest common multiple of 204 and s(3).
612
Let b(t) = 2*t**2 + 73*t - 28. Calculate the least common multiple of 162 and b(-37).
162
Let k(i) = 28*i - 1050. What is the least common multiple of k(42) and 154?
1386
Let d be (-6)/(-12) + (-7)/(-2). Suppose 2 = d*y - 18. Suppose -2*o = 3 - y. Calculate the smallest common multiple of 4 and o.
4
What is the common denominator of 129/30*5/(-6) and (-10)/54*((-4340)/(-50))/(-7)?
108
Suppose -3*w + 69 = -2*v - 3*v, 0 = -5*w - v + 143. Let p be -2*2/(-9 + 5). Calculate the common denominator of w and ((-16)/(-110))/(p/(-20)).
11
Let p(o) = -14*o. Let h(f) = f**2 + 12*f + 12. Let i be h(-11). Let m be p(i). Let q = 2 - m. Calculate the lowest common multiple of 20 and q.
80
Let r(m) = 2*m**3 + 9*m**2 - 6*m. Suppose -3*s = 4*z - 2*s + 35, 5*s - 9 = 3*z. Let j = z + 11. What is the least common multiple of j and r(-5)?
15
Calculate the common denominator of 43/16 and 27/324*(-1 + 258/(-4)).
48
Suppose -33 = -17*c + 6*c. Calculate the lowest common multiple of c and 163.
489
What is the common denominator of -57/40 and ((-2)/(-8)*-254)/(144/6)?
240
Let v(m) = m**2 + 23*m - 122. Calculate the lowest common multiple of v(-28) and 6.
18
Calculate the smallest common multiple of (4 - -2) + -4*81/(-6) and 135.
540
Let b = -339 + 357. Suppose -6*q + 2*q = -60. Calculate the lowest common multiple of q and b.
90
Let f = -39/43 - -863/430. Let s(p) = -p**3 + 12*p**2 - 2*p + 15. Let x be s(12). Find the common denominator of f and 6/x*141/(-4).
10
Suppose -3*l + 5*a + 28 = -24, 10 = -5*a. Let v be (-368)/l - 14/(-49). What is the smallest common multiple of v*((-1)/1)/2 and 9?
117
Suppose 0 = 2*x + 5*c - 373 + 115, -3*x + 4*c = -387. Calculate the smallest common multiple of (x/7 - -3) + (-4)/(-7) and 92.
1012
Let r = 4757 - 4755. Let g = 13 - 9. What is the smallest common multiple of r and g?
4
Let b = 64/9 - 869/45. Let n = -379693/9862 - -3/4931. Calculate the common denominator of b and n.
10
Let b be 2/3*-8*(-63)/(-6). What is the lowest common multiple of (2/(-2))/(7/b) and 8?
8
Let w be 0/((-8)/2)*1/4. Suppose -7*x + 2*x + 45 = w. Calculate the lowest common multiple of 4 and x.
36
Let i(j) = -2*j + 28. Let z be i(8). Calculate the common denominator of -19/22 and 130/z*(-1)/15.
198
Suppose -5 = -5*f + 4*f, 0 = 5*b - 3*f. Suppose 0 = b*t - 14 + 5. Calculate the smallest common multiple of t and 9.
9
Suppose 14*a - 42 = 14. Calculate the smallest common multiple of 2 and a.
4
What is the common denominator of 61/1736 and (-148)/962 + (-497)/65?
8680
Let c = -28 + 27. Let t(r) = -7*r + 2. Calculate the least common multiple of 10 and t(c).
90
Let m = -7785 - -46565/6. Find the common denominator of m and -115/42.
42
Let q = 199785 - 25173061/126. Find the common denominator of q and -87/4.
252
Let c = 591979/24 + -24662. Find the common denominator of c and 149/336.
336
Suppose 4425*q - 4416*q = 648. Calculate the smallest common multiple of 225 and q.
1800
Suppose 4*m + 6 = 3*q - 1, -2*q = 2*m - 14. Suppose -2*a + 32 = m*a. Suppose -7 = -4*j + 21. What is the lowest common multiple of a and j?
56
Calculate the common denominator of (-3)/36*3*1450/(-30) and -29/238.
1428
Let b(p) = p**2 + 3 + 2 + 2 - 12*p - 4. Let z be b(11). Let m(x) = x**2 + 7*x - 4. Calculate the lowest common multiple of m(z) and 13.
52
Let z = -667/15 - -4711/45. Let o = z + -1691/36. Let m(q) = -5*q**2 + q. What is the common denominator of m(3) and o?
4
Let p(u) = -u**2 - 17*u - 16. Let a be p(-16). Suppose -v - 67 = -3*n, 2*v + a = -2. Calculate the least common multiple of 18 and n.
198
Suppose -63 = 12*k - 1635. Let p = k - 107. What is the lowest common multiple of 15 and p?
120
Let z(l) = 3*l + 5. Let c be z(5). Suppose 4*u + 3*t = -10, -c = 3*u - 7*t + 3*t. What is the lowest common multiple of 8 and 7*(-5)/14*u?
40
Suppose -w = -3*w + 12. Let r be 2*(0 + 20/(-8)). Let y = 3 - r. Calculate the least common multiple of y and w.
24
Let s = -2/3989 - 394901/19945. Let p = 59549/2980 + -99/745. Let t = p + s. What is the common denominator of t and 97/12?
60
Let t = 12 - 10. Suppose 5*l = -6*o + o - 15, -t*l = 4*o + 22. Let c(j) = -j**2 - 12*j - 10. Calculate the least common multiple of c(o) and 14.
154
Let h = -86 + 104. Let d = -10 + 28. Calculate the least common multiple of d and h.
18
Let d = 435926/17 + -5872063/204. Let s = d - -3145. What is the common denominator of s and (-83)/(-11)*3/(-6)?
132
Suppose -26*n + 350 = -21*n. What is the common denominator of 9/(-15) + 457/n and 115/24?
168
What is the common denominator of (24510/(-108))/19 + 11 and -25/29?
522
Suppose -b + 2*b - 5189 = -2*g, -5*g + 3*b + 12967 = 0. Let h = -20823/8 + g. Find the common denominator of -19/6 and h.
24
What is the least common multiple of 30 and -4*3/4 - (-5 - 138)?
420
Let b(x) = -x**2 - 13*x + 9. Calculate the lowest common multiple of -3 + 2 + -3 - -25 and b(-13).
63
Suppose f + 4 = 26. What is the smallest common multiple of f and (60/95)/(30/285)?
66
What is the common denominator of 157/120 and (1 - (-200)/6)*(-408)/5984?
1320
Let r be (-3)/(3/3) + -2. Suppose 0*f = 3*f - j + 16, -3*f + 4*j - 28 = 0. Find the common denominator of -113/14 and (-14)/r*(-45)/f.
14
Suppose 0 = 3*h - 22 - 191. What is the smallest common multiple of 26 and h/7 - (-7)/(-49)?
130
Let j(h) be the first derivative of -h**4/4 - h**3/3 + h**2 + 3*h - 34. Suppose 0 = -t - 2*t. What is the smallest common multiple of 19 and j(t)?
57
Let y = -11 - -35. Calculate the smallest common multiple of 2252/68 + (-8 - 1072/(-136)) and y.
264
Let l = -131675/198 + -259/198. Let w = l + 657. Calculate the common de