 least common multiple of t and b(-9)?
96
Let s be (-8)/(-6)*(-993710)/(-360). Suppose 2*h = h - 3683. Let z = s + h. What is the common denominator of z and 67/45?
135
Calculate the common denominator of 111/418 and 1974/663 + 10/(-65).
7106
Let x = -119/2 + 921/14. Suppose 0 = 5*v + 2*d - 15, 5*d + 5 = -20. Calculate the common denominator of x and (2 - v)/((-35)/(-15) - 2).
7
Let z = -2691 + 2711. Let t(n) = 4*n - 4*n - 5*n. What is the lowest common multiple of t(-2) and z?
20
Suppose -568 + 2808 = 16*z. What is the common denominator of (-2246)/840 + (-20)/z and 149/108?
540
Let m = 6/237457 - 29210571/132975920. What is the common denominator of -89/420 and m?
1680
Let t = 458/40385 - -6/205. Let f = t + -2335/4137. What is the common denominator of 32/183 and f?
1281
Let p = -8511 + 9363. Calculate the smallest common multiple of p and 3195.
12780
Let r be 4*(-10)/8 - 11*-1. Let g(h) = -6*h + 44. What is the lowest common multiple of g(r) and 775?
6200
What is the common denominator of 44103/26028*(4 + -3)/((-158)/6) and 3/100?
23700
What is the smallest common multiple of 135 and 40956/39 + 3/(-117)*6?
9450
Suppose -r - 8*s = -6*s - 14, -15 = -3*s. Suppose 16*q = 14*q - 5*n + 53, q - 34 = -r*n. What is the lowest common multiple of q and -3 - (3 + -5)*6?
126
Suppose -3*k = 12*d - 38484, -d - 11*k + 10*k + 3207 = 0. Calculate the smallest common multiple of d and 30.
32070
Suppose -4*q + 17 = -3*l + 2*l, 0 = -5*l - q + 20. Calculate the lowest common multiple of (-163 + -1)/(15/l - 7) and (4 + 2/(-3))*(-9)/(-6).
410
Let p = 66 + -63. Calculate the least common multiple of p and (-148)/(-12) - (-4)/(-3).
33
Let i be (-510)/1190 - (0 + (-4156196)/4823). Let b = i - 11190/13. Calculate the common denominator of 5/9 and b.
477
Let g(i) = 12*i - 4*i**2 - 6 + 1 + 6*i**2 - 3*i**2. Let w be g(8). Suppose 25*x = w*x - 20. Calculate the smallest common multiple of 12 and x.
60
Let i = -3036 + 9058/3. Find the common denominator of -47/5517 and i.
5517
Suppose 5655 = 94*h + 42*h + 9*h. What is the least common multiple of h and 793?
2379
Suppose -118 = -47*y - 24. Let r(v) be the second derivative of -v**4/12 + 3*v**3/2 + v**2 + v. What is the smallest common multiple of r(9) and y?
2
Let a = -2176243909/3964 + 549002. Calculate the common denominator of a and 57/14.
27748
Suppose 0 = -4*o + 3*r + 95, 5*o - 115 = -2*r - 25. Suppose -2*j - 4 = -o. What is the lowest common multiple of 22/(-3)*-4*(-30)/(-20) and j?
88
Let y be ((-7864)/(-610))/(3/(-375)). Let j = y - -1612. Find the common denominator of j and -17/11.
671
Let j = -25 + 41. Suppose -10 + 26 = 4*t - 2*m, -2*t + 3*m = -16. Calculate the least common multiple of (j/40 - (-8)/5) + 30 and t.
32
Find the common denominator of 1/1420 and ((-4464)/(-639) - 7)/(84/854).
4260
Let c = 3428/39 + -95783/1092. What is the common denominator of c and -89/105?
5460
Suppose -5*l - 315 = -10*l. Suppose -65*s = -l*s - 66. What is the lowest common multiple of s and 6?
66
Suppose 2*l + 2 = -5*m + 25, 2*m = l - 7. Suppose 4*g = u + 165, g + 5*u = 6 + l. What is the least common multiple of g and 18?
360
Let p = 45565/9 - 5071. Suppose -7 = -5*h + 13. Calculate the common denominator of ((-284)/(-8))/(42/h) and p.
63
Suppose 3*p - p = -5*s + 15, 0 = 2*s + 3*p - 6. Let w be -4 - ((-2)/8)/((-12)/48). What is the smallest common multiple of -9*5/(w + 0) and s?
9
Let l(d) = 2*d - 26. Let b be l(12). Let a be b - (-4 - (1 - 3)) - 30. Calculate the lowest common multiple of 16 and (0 + 20)*(-18)/a.
48
Let z = 12320 - 8362. Calculate the least common multiple of 16 and z.
31664
Suppose -5*d + 2022 = -2618. What is the least common multiple of 11 and d?
10208
Let h be (-6 + (-8)/(-2))/(-1 - 1). Let r be 5 - (h + 6 + -5). Suppose 4*j + l - 75 = 0, 5*j + 29 = -r*l + 114. What is the lowest common multiple of 8 and j?
40
Let k = 7193 - 467481/65. What is the common denominator of k and 45?
65
Let v be -2 - (-4)/(2 + -1). Suppose -3*j - 24 = -3*g, -5*j = -v*g - g + 26. Suppose -69*o + 7201 + 3908 = 0. Calculate the least common multiple of o and g.
161
Let u = -18808 + 30047. Let l = 17290379 - 276466167/16. Let c = l - u. What is the common denominator of c and 57/7?
112
Suppose -l + 3*l - 5*n - 66 = 0, n - 33 = -l. Suppose 4*s - 5*z - 67 = 0, 5*s - 17 - 76 = -3*z. Calculate the smallest common multiple of s and l.
198
Suppose -8*u + 3*u + 10 = 0. Let x be 37/(-74) + ((-6531)/u)/(-3). Let p = x - 26083/24. Find the common denominator of p and 93/20.
120
Let k = -7818 - -11226647/1436. Let x = 14706933151/11201618520 + -18417/1155640. Let s = x + k. What is the common denominator of 50/27 and s?
27
Suppose -2*k + 2404 = -4*j, 0 = 780*k - 782*k - j + 2449. Calculate the smallest common multiple of k and 3.
3660
Let b(d) = d**3 + 3*d**2 - 10*d - 5. Let r be b(-5). What is the least common multiple of 66 and (36/(-10))/(9 - (-47)/r)?
198
Calculate the common denominator of (17440/150)/8 + -15 and 8/651.
3255
Let o be (-3)/(0 + -3)*(-1 - -4). Suppose -16*l - o = -19*l. What is the common denominator of ((-71)/(-12))/(l/4) and 10/21?
21
What is the common denominator of 3068/(-20650)*(-45)/4 and ((-4)/60)/(14/76)?
210
Suppose -4*s = -181*c + 185*c - 196, 3*s - 152 = -4*c. What is the smallest common multiple of s and 65?
2860
Let w be (-4)/22 + 5/((-165)/(-72)). Let v(i) = -1 - 3*i + i**w + 12 - 3*i. What is the smallest common multiple of v(5) and 2?
6
Suppose 193 = -278*k + 1305. Let v(a) = 9*a + 1. Calculate the lowest common multiple of v(1) and k.
20
Let v(w) = 464*w + 10. Let t be v(-3). Let g = t - -5871. Let k = g + -35867/8. What is the common denominator of k and -27/4?
8
Suppose -12*r + 7475 = -4021. Let p = 986 - r. Calculate the smallest common multiple of 203 and p.
812
Let u = -6192985/128 - -48383. What is the common denominator of u and 23/492?
15744
Let z be (14412/16)/((-3)/((-18)/580)). Let f = -28/145 + z. Find the common denominator of 6/21 + (-270)/(-182) and f.
104
Let k = 69 - 253. Let i = k + 198. What is the smallest common multiple of 2 and i?
14
Find the common denominator of (-5)/(-2)*((-70)/234)/((-115)/138) and 19/351.
351
What is the common denominator of 7/68 and (129/170)/(39168/(-1280))?
3468
Let i = -3247/10815 - 76/103. Find the common denominator of i and 64/2265.
15855
Suppose -4*f - 19 = 3*g, -5*g = -4*f - f + 20. Let q be (6/4)/(2/(-12)) + f. What is the common denominator of 85/6 and -3*(-4)/(-6) - 3/q?
30
Suppose 5*q + 2 - 87 = 0. Let c be (180/(-42) - (-4)/14) + 18. Suppose -30 = -q*h + c*h. What is the lowest common multiple of 10 and h?
10
What is the common denominator of -101/366 and -13*2/48 - (106 + -104)?
1464
Let k = -748 + 748. What is the lowest common multiple of k*(8/4)/2 - -88 and 6?
264
Let u be (-3*6/(-9))/(3/12). Let o be (-95)/2*u/(-40)*-2. Let a = o - -20. Calculate the least common multiple of a and 20.
20
Suppose 6*z = 10*z - 240. Let j be 416/(-84)*(38/z - -1). Let u = 107/10 + j. What is the common denominator of u and -65/112?
1008
Let v = 678691/259938 - -2/14441. Let u be 1*(4 + -5) + (-118)/(-58). Let l = -387/290 + u. Calculate the common denominator of l and v.
90
Let x(h) = -h**2 + 19*h + 31. Suppose 2*y - 6*y = -5*f - 665, y = f + 165. Suppose -7*z - z + y = 0. Calculate the smallest common multiple of x(z) and 3.
33
Let m(k) = 4*k**3 - k**2 + k - 1. Let h be m(1). Let a be (-4)/(-4) + h*222/9. Calculate the common denominator of -5/2 and a*30/(-4)*1/54.
12
Suppose i - 5*x = 15, 5*i - 3*i - 3*x - 16 = 0. Calculate the common denominator of 0 - (-81)/(-14) - (-15)/i and 37/49.
98
Calculate the common denominator of -149/1610 and ((-5)/(-575)*755)/(-12).
9660
Suppose 2*y - 4 = 0, -a + 6*a - 2*y + 29 = 0. Let n(i) = -i**2 + 12*i - 14. Let p be n(12). Calculate the common denominator of p/a - 5/(-15) and 34/33.
165
Suppose 32 + 19 = -5*b + 4*i, 4*b - 2*i + 42 = 0. Calculate the common denominator of -1/44 and 1/((-1)/7*(-44)/b).
44
Let q = -2259323/60 - -37658. Calculate the common denominator of 37/1840 and q.
5520
Calculate the smallest common multiple of (14/49 + (-38968)/(-28))*15/10 and 5568.
16704
Let x(n) = 12*n. Let q(i) be the second derivative of -i**5/20 - 11*i**4/6 - 7*i**3 - 16*i**2 - 28*i. What is the least common multiple of q(-20) 