 the common denominator of q and w.
54
Suppose -2*w = -7*w + 25. Let f(l) = -2*l**3 + 23*l**2 - 12*l + 19. What is the lowest common multiple of w and f(11)?
40
Let s(r) = 3*r**2 + 6*r - 6. Let o be s(-3). Suppose 0 = 5*l - 3*l + 66. Find the common denominator of l and (-198)/40 + o/48*-4.
5
Calculate the least common multiple of 4756 and (-21)/(-4) + 18/189 + (-220)/(-336).
14268
Let l = -170 + 30. Calculate the common denominator of -69/100 and (3 - (-441)/l)/((-3)/98).
100
Suppose 0 = 10*c - 26854 - 5686. Calculate the smallest common multiple of 10 and c.
16270
Calculate the common denominator of ((-2)/(-646))/((-35)/1050) and -3/5.
1615
Let w = 268724 - 268713. Suppose 5*l - 295 = -5*v, -20 = -5*l + 3*v + 299. Calculate the least common multiple of l and w.
682
Suppose 116*s - 136*s = -44360. What is the least common multiple of s and 26?
28834
Let s = -2941 + 2987. Calculate the least common multiple of 989 and s.
1978
Suppose 4*n - 345 = 3*s, 26*s + 237 = 3*n + 31*s. Calculate the smallest common multiple of 82 and n.
3444
Suppose -22*i = -17*i + b - 3497, 4*b = -12. Calculate the least common multiple of 490 and i.
4900
What is the common denominator of ((-18)/(-55) - 0)*(-19)/38 and (-7)/(-35) - (-258)/(-225)?
825
Let v = -8 + 16. Suppose -5*k = -5*d - 240, 31216*d = -k + 31215*d + 60. What is the lowest common multiple of v and k?
216
Let l = 10365601151/1224 + -8468627. Let r = -1/408 + l. Find the common denominator of -19/16 and r.
144
Let f = 151 - 73. Suppose f*a - 76*a = 306. Suppose 0 = 3*z - 249 + a. Calculate the lowest common multiple of 16 and z.
32
Let k = 36 - -4. Let s(p) = -3*p**2 + 74*p - 21. Let i be s(27). What is the least common multiple of k and (408/170)/(((-9)/i)/1)?
280
Let q(u) = 252*u**2 - 71*u + 142. Calculate the lowest common multiple of q(2) and 12.
1008
Let g = -124 + 132. Let k(o) = -o**2 - 4*o + 87. What is the lowest common multiple of g and k(-11)?
40
Let q = -1121399/52 - -21566. Calculate the common denominator of 95/12 and q.
156
Suppose 2*p = 3*b - 0*p - 73, 3*b = -4*p + 97. Suppose -16 = 4*g, 0*m - m = -g - b. Suppose -m = 2*k - 25. What is the least common multiple of 22 and k?
22
Let w be ((18340/(-21))/10)/(1/(-3)). Suppose -w - 128 = -13*f. What is the lowest common multiple of f and 39?
390
Let m(h) = h**3 - 13*h**2 - 29*h - 8. Let i be 6*1/2 + (-19 - -31). Calculate the lowest common multiple of 2/3 + (-1)/(-3) and m(i).
7
Let v = -17201 + 412847/24. Find the common denominator of v and 173/11802.
47208
Let f be 22/108 + 11/(-66). Let i = -599/864 + f. Let d = 2877/4 - 31693/44. Find the common denominator of d and i.
352
Let i(g) = 9*g**3 - g**2 - 4*g + 12. Suppose -4*b + 3*u - 7 = 0, b - 8 = -2*u + 4. What is the lowest common multiple of 8 and i(b)?
72
Let v = -4611 - -184461/40. Find the common denominator of v and (-3270)/(-120)*(-2)/(-10).
40
Let p = 93 + -97. What is the least common multiple of -2 + 5 + p/(-6)*18 and 30?
30
Let c = 2/3652255 - 346967549/6070047810. What is the common denominator of -8/3047 and c?
18282
Suppose -d + 4*l + 3 = -0*l, 0 = -5*d - 4*l - 9. Calculate the lowest common multiple of 7 + (-6 - (-1 - d - 3)) and (-1)/(-4) + (-81)/(-12).
28
Let x = 92539/19656 + 1/2457. What is the common denominator of -93/92 and x?
552
Let q be (-3)/4 + ((-1973170)/40)/(-23). Suppose -2*w - w - 4266 = -4*y, 2*y = -4*w + q. What is the smallest common multiple of 12 and y?
1068
Let f = 1948 + -796. Calculate the common denominator of 4*(-3)/f + 6/9 and -101/8.
32
Suppose -74 = 6*t + 46. What is the lowest common multiple of 45/6*12*(-2)/t and 62?
558
Let l = 25714/9 + -2854. What is the common denominator of 50/(-102) + 15/(-225)*5 and l?
153
Let j(a) = 16 + 6*a + 4*a + 6*a - 20*a. Calculate the least common multiple of (-5*(-2)/25)/(1/25) and j(0).
80
Let g = 63 + -37. Suppose 3*x - 2*x - 4*k = 46, -131 = -3*x + 5*k. Let f = x + -30. Calculate the least common multiple of f and g.
156
Let r = 3 - -14. Suppose -22 = -p + 3*f, 4*p + 5*f + 33 = 2. Calculate the least common multiple of r and p.
17
Suppose 5*q = -3*l - 0*l - 47, -l = -1. Let w = 4858/5 + -53693/55. What is the common denominator of w and 70/(-266)*(-42)/q*-2?
209
Let t = -3207 + 51225/16. Find the common denominator of 29/1552 and t.
1552
Let g be 0 - -2 - (2 + -5). Suppose -2*z - 4*m = 8, 2*z - g*m + 6 = 34. What is the lowest common multiple of z and 1 + 11/((-44)/(-40))?
44
Find the common denominator of -67/266 and 8/(-12) - (-139455)/230850.
11970
Let r = -24120/13 - -529405/286. Suppose 4*x - 17 - 19 = 0. What is the common denominator of ((-14)/x)/(-7) - 293/(-18) and r?
22
Find the common denominator of (-122)/(-305)*(-970)/216 and 29/270.
270
Find the common denominator of 83/1400 and (-3 - 377/(-130))/((-2)/(1272/(-945))).
12600
Suppose -5*c - j = -2*j - 173, -2*c + 3*j + 77 = 0. Suppose 4*l = 2*x + 120 - c, -x + 5 = 0. Calculate the lowest common multiple of l and 6.
24
Let n(i) = i**2 - 23*i + 93. Let a be n(18). Suppose 3*t = a*p - 0*t - 117, 0 = -4*p + 5*t + 159. Calculate the lowest common multiple of p and 30.
180
Let d(w) = -w - 2. Let g be d(0). What is the common denominator of 6*(-294)/(-112)*2/(-6) and (-273)/4*g/6?
4
Suppose 7*x + 2*x = -54. Let u be 64 - x/(8/4). Let r = -47 + u. Calculate the smallest common multiple of 22 and r.
220
Suppose -o + 152 = -i, 301 = 2*o - 3*i - 0*i. Let m = -147 + o. Let p(u) = -u**3 - 6*u**2 - 3*u - 6. What is the lowest common multiple of p(-6) and m?
24
Let p(u) = 7*u**2 + 34*u - 126. Calculate the lowest common multiple of 510 and p(18).
13770
Let v = 1269 + -1259. Calculate the least common multiple of v and 81.
810
Suppose 38 = -4*k + 326. Let b be (-1139067)/k*(-2)/(-4467)*-1. Let h = b + 1/8934. Find the common denominator of h and -133/6.
12
Let v = -3768330 - -21788484177/5782. Find the common denominator of 56/5 and v.
28910
Let j = 126 + -114. What is the smallest common multiple of (53/(-4))/(18 - 9086/504) and j?
1908
Let f(s) = -32*s - 276. Let n be (0/(-1))/3 - -17. Suppose -2*z + n + 19 = 0. Calculate the smallest common multiple of z and f(-10).
396
Let o = 43087 - 1982097/46. Calculate the common denominator of o and -75/202.
4646
Let n(x) = -3*x**2 + 10*x - 2. Let g be n(0). What is the least common multiple of 6 and (-156)/(-117)*(-21)/g?
42
Suppose 5*g - 3 = 7. Let f(m) = 33*m**2 - 6*m + 4. Let y be f(2). Let v = y - 122. Calculate the lowest common multiple of v and g.
2
Let g be (-5)/(15/6)*(-20)/8. Suppose -3*m = -g*x - 0*m - 11, 5*x = -2*m - 1. Calculate the smallest common multiple of (2 + -1)*x/((-1)/12) and 30.
60
Let u be ((-2)/(-6))/(5/195)*-1. Let y(p) = p**3 + 14*p**2 + 14*p + 31. Suppose 3294 = 18*m - 3546. Calculate the lowest common multiple of y(u) and m.
3420
Suppose -166*z + 170*z - 552 = 0. Suppose f = 4*f - 3*s - z, 4*f + 5*s = 157. Calculate the lowest common multiple of f and 3.
129
Suppose 1914 - 1144 = 10*l. Suppose 3*f + 3*z = 213, 0 = -5*f + 6*f - z - l. Let j = 27 - 18. Calculate the least common multiple of j and f.
666
What is the common denominator of -5 + 0 + 1 + (-112836)/(-3480) + -28 and 24/145?
290
Let n(h) = -10*h + 33. Let c be n(-6). Suppose 0 = -3*w + 102 - c. What is the least common multiple of w and 5?
15
Find the common denominator of (-2)/3 + 7475/16068 and -23/56.
5768
Suppose 8*y = 6*y + 402. Suppose r + s + 26 = 2*r, -267 = -10*r + 3*s. What is the least common multiple of r and y?
1809
Suppose l - 562*h - 118 = -558*h, h = -3*l + 328. What is the lowest common multiple of 1100 and l?
1100
What is the lowest common multiple of 11 and 1661*(-18)/(-297)*(174/4)/1?
48169
Suppose -3*u + 5*s + 8948 = 0, 1685*u - 1690*u - s + 14876 = 0. What is the least common multiple of u and 8?
2976
What is the common denominator of ((-558)/(-405))/(828/(-115)) and 43/1206?
10854
Let b(z) = z**3 - 6*z**2 + 5*z + 7. Let g(u) = 3*u**2 + 8*u + 19. Calculate the smallest common multiple of b(5) and g(-3).
154
Let a = 14379 - 2660154/185. What is the common denominator of a and -33/125?
4625
Suppose -25*t = -34*t + 72. What is the lowest common multiple of (189/21)/(0 + 1) and t?
72
Let j = -268316974/37135 + 38549/1061. Let y = j + 7191. Find the common denominator of -99/40 and y.
280
Calculate the common de