Let w = c - -237. What is the least common multiple of w and 15?
30
Let p = 11 + 34. Suppose 17 + 88 = 7*r. Calculate the common denominator of 76/9 and r/10*(-93)/p.
90
Let f = 29047931/296 - 98135. What is the common denominator of 36/259 and f?
2072
Suppose 1267*g - 50 = 1257*g. Suppose i = -g*h - 15, -2*i + h + 38 - 46 = 0. Let s = -707 - -7087/10. Calculate the common denominator of i and s.
10
Let r be (27489/9161 - 0) + 3/(-1). Let d = -201920/577143 + r. Calculate the common denominator of d and -9/49.
441
Let b = 910 + -592. Let x be (19 - 0)*(b + 8). Let y = -37055/6 + x. Calculate the common denominator of y and -83/20.
60
Let n(g) = 408*g - 103. What is the lowest common multiple of n(2) and 279?
6417
Let f = -4913873 + 59049377/12. Let g = f - 6914. Find the common denominator of 4/4 + 218/(-24) and g.
12
Suppose -11*v - 5*v - 224 = 0. What is the common denominator of 226/6*1/2 and 4 + 59/v + (-5)/20?
84
Suppose 68 + 4 = -6*s. Calculate the common denominator of ((-15)/s + -1)*-57 and -63/2.
4
Let g(m) = 4*m**2 + 6*m**3 - 17*m**2 - 5*m**3 + 21*m - 9*m**2 + 30. What is the least common multiple of g(21) and 25?
150
Let s = 85187/106656 - 80/101. Calculate the common denominator of 77/12 and s.
1056
Suppose 5*f - 855 = 45*f - 3455. What is the smallest common multiple of f and 39?
195
Let j(r) = 100*r - 17. Let b be j(9). Let t = -872 + b. Calculate the least common multiple of t and 112.
1232
Calculate the least common multiple of 95 and (-5 + -5)/(2*3/(-114)).
190
Find the common denominator of 43/870 and ((-9309)/6525)/((-6)/(-9)*3/(-5)).
870
Suppose -119*y + 250 = -192*y + 123*y. What is the smallest common multiple of y and 28?
140
Let b = -83074585/1372 - -60550. What is the common denominator of b and -117/10?
6860
Let w = 5436 - 5348. Calculate the lowest common multiple of 44 and w.
88
Suppose 4*v - 28 - 8 = -5*t, 2*t - 16 = -2*v. What is the lowest common multiple of 812 and v?
812
Let t = 2/16745 + 77013/117215. Calculate the common denominator of 1/840 and t.
840
What is the common denominator of ((-6)/(27 - -777))/((-7)/2) and -22/67?
469
Let m(u) = -20 + 0*u**3 - u**3 - u**3 - 6*u - 8*u - 11*u**2. Calculate the smallest common multiple of 32 and m(-6).
800
Suppose 648 = 6*r - 3*r - 4*l, l + 217 = r. What is the common denominator of r/18*18/(-135) and -64/45?
135
Let k be 1 - 1410*3/((-431514)/(-102)). Let o = k - -759121/191784. Calculate the common denominator of -43/18 and o.
72
Suppose -2*b + 0*o = 2*o - 286, 0 = -5*b - 3*o + 725. Find the common denominator of -131/6 and b/2*(-3)/108*3.
6
Let a(s) = -s**3 - 22*s**2 - 7*s + 6. Let f be a(-22). Calculate the common denominator of 38/61 and 50/f*12*9/(-10).
488
Let g = -153 + 1681. What is the least common multiple of 1337 and g?
10696
Suppose -142*k + 8190 = -4590. What is the lowest common multiple of 48 and k?
720
Let w = 2649 - 1780. Calculate the lowest common multiple of 2 and w.
1738
Suppose -1995*d + 1992*d + 42 = -t, -4*d + 3*t = -66. What is the least common multiple of 5886 and d?
11772
Let q = -186899074291/1253574980 + -8/8954107. Let t = -1023/7 - q. What is the common denominator of t and -55/442?
4420
Let o = -334 - -184. Calculate the common denominator of (-260)/(-102)*(3 - (-414)/o) and 77/45.
765
Let m(w) = 3*w**2 - 14*w - 13. Let x be m(6). What is the common denominator of (x/66)/((-5)/(-154)) and -68/9?
45
Let p(j) = j + 17. Let k be (-42)/28 - 14/4. Let b be p(k). Calculate the common denominator of -45/8 and (34/(-16))/(2/b).
8
Let d be -2 - (-36)/(-16)*(-16)/6. What is the common denominator of 187/(-39) - (-1 - (-2 + d)) and (-361)/(-1254) + (-1)/(-2)?
429
Suppose -4*p - 60 = -5*o - 0*p, -3*p = -151*o + 151*o. Suppose k + 15 = 5*i - 162, 3*k - 81 = -2*i. Calculate the least common multiple of o and i.
36
Suppose -4*c + 106*t - 102*t = -180, 0 = -4*t. Let v be (-88)/6 + 2/(-6). Let i = c + v. What is the smallest common multiple of i and 8?
120
Suppose -65 = -220*c + 116 + 2459. What is the lowest common multiple of 238 and c?
1428
Suppose 3*u + 7 - 13 = 0. Calculate the lowest common multiple of 61 and (u - 3)/((-21)/84).
244
Suppose 3 = -2*r + r. What is the common denominator of -1 - (-1)/r*-64 and 3 + (14 - (-1160)/(-55))?
33
Let h = 127 + -127. Suppose 2*q + a - 18 = h, 2*q + q + 3*a = 24. Calculate the lowest common multiple of 38 and q.
190
Let g = -237 - -338. Let i = g + -101. Suppose -4*m + 8*m = 12, i = -3*y + 2*m. What is the least common multiple of 110 and y?
110
Suppose 6*a + 28 = 8*a. What is the common denominator of (5 - 6)/(2/61) and (-1 - (2 - 13))*a/21?
6
Let w(m) be the third derivative of m**6/120 - 7*m**5/60 + m**4/24 + 3*m**3/2 - 45*m**2. Calculate the least common multiple of w(7) and 1/(-1 - 0) - -79.
624
Suppose 0 = -m - 4, -l + 4*m - 173 = 5*m. Let y = -69 - l. Let p = -64 + y. What is the least common multiple of 20 and p?
180
Find the common denominator of 7/15 and (-4732)/15925*1/3.
525
Let w = -3391 - -3393. What is the lowest common multiple of w and 504?
504
Suppose -4*i - 2 = 2*o - 6, i = o - 5. Let q(w) = 16*w**2 - 2*w. Calculate the lowest common multiple of 21 and q(i).
126
Let h(f) = 130*f - 1294. Calculate the lowest common multiple of 4125 and h(10).
8250
Let z = -749525/36 - -20823. Suppose 4*s = 6 + 30. Find the common denominator of z and 62/(-10) - s/(-36).
180
Let d be 35/2 + (-3)/(-6). Let r = -18 + 25. Let v = d - r. Calculate the lowest common multiple of v and 45.
495
Let k(a) = -a**3 + 18*a**2 - 39*a + 176. What is the smallest common multiple of 483 and k(14)?
2898
Let d = 188456 + -94981783/504. Find the common denominator of d and 27/364.
6552
Let z be ((-170)/(-3))/(8/(-12)). Let a = 89 + z. Suppose 3*r - 126 = -4*s, 5*s - 5*r + 2*r = 144. Calculate the smallest common multiple of s and a.
60
Let d = -1069/4 + 7263/28. Find the common denominator of -41/688 and d.
4816
Suppose -4*h + 2*w = -10156, h + 25*w - 30*w = 2512. Calculate the least common multiple of h and 372.
15252
Let a = -199054/5078319 + 50/5443. Find the common denominator of a and -29/30.
9330
Let r(y) be the first derivative of -y**3/3 - 4*y**2 + y + 1798. Let m(j) = j - 10. Let h be m(5). Calculate the smallest common multiple of r(h) and 5.
80
Let g be (-1)/(((-18)/(-244))/9). Let s = -35 - g. Calculate the least common multiple of 30 and s.
870
Let g = 5/6894 - 70109/27576. What is the common denominator of 2 - 1 - 22/(-12) and g?
24
Let h = -1966 - -1972. What is the smallest common multiple of 371 and h?
2226
Let b = 41 + -38. Let f(h) = 2*h**3 - h**2 - 3*h + 2. Let y be f(b). Let r = y + -27. What is the lowest common multiple of r and 9?
99
Let a = -173 + 265. Suppose 76*j - 18 = 73*j. What is the lowest common multiple of a and j?
276
Let j = 9047/4 + -2249. Let w = 355811/32 + -11120. Calculate the common denominator of j and w.
32
Suppose 2*p - 6*p = 3*v - 19683, -p + 3*v + 4902 = 0. Suppose 0 = -x + 269 - p. Let m = 111527/24 + x. What is the common denominator of m and 49/4?
24
Suppose -5*z = -b + 194, 15*b - 18*b + 554 = -z. Calculate the least common multiple of 3304 and b.
75992
Let t = -1/707 - -2843/10605. Let y be (-14)/(-42) - ((-132621)/4)/3. Let d = y - 11040. What is the common denominator of d and t?
60
Let w = -57172/5 - -11445. Calculate the common denominator of 158/(-3)*4/264 and w.
495
Suppose 0 = -4*f + 5*z + 388, 0*z + 4*z = -3*f + 322. Let v = -4175 - -4235. What is the lowest common multiple of f and v?
1020
Let a be 146 - 5/(0 + 5). Let t = a + -134. Calculate the least common multiple of 65 and t.
715
Suppose 47 = 27*v - 250. Let i = 5 + -13. Let x(u) = u**2 + 6*u - 9. What is the least common multiple of x(i) and v?
77
Let w = -519 - -525. Let y = -66 - -102. What is the lowest common multiple of y and w?
36
Suppose -2*u + 4*u = 2*k - 17588, 5*u + 2*k = -43935. Let a = u - -676722/77. Calculate the common denominator of a and 80/21.
231
Let x(p) = 2*p + 100. Let n(i) = i**2 + 10*i - 2. Let t be n(-6). What is the lowest common multiple of 3 and x(t)?
48
Let i = 235855093/10247490 + -314/113861. Let o = 227/10 - i. Find the common denominator of -85/88 and o.
792
Let f(o) = -2*o**2 + 45*o + 29. Suppose 2*b + 18 = 3*b. Suppose -2 = 2*i - b. Calculate the least common multiple of f(