f = -170434 + 170441. Suppose 5*z - 114 = 3*z. Calculate the least common multiple of f and z.
399
Let j = -98 + 100. Suppose 5*d = -3*p - 0*d + 85, 0 = d - j. Calculate the common denominator of 1/8 and ((-185)/p)/((-12)/(-5)).
24
Suppose v = 2*k - 3*v + 606, -k = 5*v + 289. Calculate the common denominator of k/(-50) + ((-180)/9)/4 and -181/90.
450
What is the common denominator of 37/2083 and (135/10)/(-9)*36/42?
14581
Suppose -5*h = -n - 40, -n + 19 = 4*h - 13. Let t(j) = -305*j - 2433. What is the lowest common multiple of h and t(-8)?
56
Let f(a) be the first derivative of -a**4/4 + 5*a**3 + 11*a**2 - 28*a - 128. What is the least common multiple of f(15) and 4?
604
Let b be ((-6)/3 - (-246)/39) + -2. Let u = 853/364 - b. Find the common denominator of -101/20 and u.
140
Suppose -4*u - 4 = 0, 26*u - 23*u - 1 = 2*y. Let l = 1/1247 + -96021/2494. Find the common denominator of l and 2*y + (5 - (-253)/(-242)).
22
Let h = -365 + 665/2. Let j = 67 - 107. What is the common denominator of ((-395)/j)/(10/(-4)) and h?
20
Suppose -3073 = -6*a + 13*a. Let m = 472 + a. What is the smallest common multiple of 303 and m?
3333
Let d(b) = -b**3 + 60*b**2 + 21*b + 2445. Let k = 152 - -29. Calculate the smallest common multiple of d(61) and k.
905
Suppose -18*l - 21*l = -86445 - 44517. What is the lowest common multiple of l and 6?
10074
What is the common denominator of 2128/540*165/792 and -31/198?
1782
Suppose -689 = -20*n - 2549. Let i = 48 - 142. Let q = n - i. What is the smallest common multiple of 11 and q?
11
Let m = 2591321/52 + -49834. Let p = -9693 + 891743/92. Calculate the common denominator of p and m.
1196
Let v = -3094 + -205. Let b = v - -52751/16. Calculate the common denominator of b and 61/8.
16
Calculate the common denominator of ((-3)/5)/(-4 - 2)*102/120 and -67/500.
1000
Let a be (-1710)/27*(-102)/4. Let x = 183/2 + -643/6. Calculate the common denominator of (-12 - a/(-135))/(1/(-141)) and x.
9
Suppose -u + 4*u - 6 = 0, 5*o + 4*u - 93 = 0. Suppose 19*x - 4*v - 32 = o*x, x + 3*v + 4 = 0. What is the lowest common multiple of x and 11?
88
Suppose -32835 = 15*r - 83955. What is the least common multiple of r and 528?
37488
Let x(z) be the second derivative of 0 + 1/20*z**5 + 4*z - 1/3*z**3 + 1/12*z**4 + 3*z**2. What is the lowest common multiple of x(0) and 7?
42
Let d be (-2)/(-2) + (0 - -52). Suppose -d*o + 50*o + 72 = 0. Suppose 22*w = -w + 92. Calculate the lowest common multiple of w and o.
24
Let u = 1570 - 37667/24. Find the common denominator of u and ((351/10)/9)/(264/(-140)).
264
Calculate the common denominator of (-2)/(-12)*(-58)/10 and 1764/11907*690/(-16).
90
Let p be 280140/(-378) - 2/(-18). Calculate the common denominator of 67/6 and (-3 - 1) + p/152.
24
Suppose 0 = -2*v + 10*x + 4162, 3*v - 3464 = -4*x + 2741. What is the least common multiple of 2 and v?
4142
Let o = -3569/16 - -223. Suppose -1170*u = -1173*u - 6. What is the common denominator of o and 43/u*3/9?
48
Let t be (-18)/30 + (-1218)/(-1605). Let n = -3585/2354 - t. Calculate the common denominator of n and (-505)/180 - (-9)/12.
198
Let t(s) = 2 + 0 - 4*s + 5*s + 4*s. Suppose -3*c - c + r = -12, 4*c + 3*r + 4 = 0. What is the lowest common multiple of 8 and t(c)?
24
Find the common denominator of ((-1)/(-18800)*6)/((-9495)/210 + 45) and -131/70.
32900
Suppose -4*h + 66 = 46. What is the smallest common multiple of 30 and ((-1200)/9)/h*27/(-12)?
60
Let x = 1701 - 1101. What is the smallest common multiple of x and 4?
600
Let q = -43 - -91. Let z = q - 78. What is the common denominator of 10/(-25) - -107*9/z and 17/22?
22
Suppose j - 17 = 3*i, 5*j - 5*i + 4*i - 141 = 0. Suppose 0 = 3*n + 15, q - 6*q - 2*n + 45 = 0. Calculate the lowest common multiple of j and q.
319
Let k = -13984 - -13990. Let y(g) = 2*g + 2. Let n be y(-4). What is the smallest common multiple of (-14)/(-4) + (-3)/n and k?
12
Let r(w) = 5*w**3 + 2*w**2 + 5*w + 6. Let f be r(-2). What is the least common multiple of -2*(3 + -1) - (26 + f) and 9?
18
What is the common denominator of 8/(-2) - 1092/(-384) and 4/8*4/((-32)/(-20))?
32
Let b = 2363 - 18927/8. Let c be (-98558*(-3)/108)/(26980/(-60)). Let t = 474/71 + c. Find the common denominator of t and b.
456
Let u be (-232)/(-44) + (-21)/77. Suppose u*z - 5*n - 70 = 0, 0 = -0*z - 3*z - 5*n + 10. Calculate the lowest common multiple of 9 and z.
90
Suppose 10 = 15*c - 13*c. Suppose -b - c*s = -5, 5*b + 4 = 3*s + 1. What is the least common multiple of 6 and b/3 + (1 - -2)?
6
Let m = -273 - -533. What is the smallest common multiple of m and 715?
2860
Suppose -356 = -24*y + 4. What is the least common multiple of (-6)/12 + (-131)/(-2) and y?
195
Let p be (-180)/(-15) + (-4)/1. Suppose 0 = 5*d - 3*m - 225, 7*m = d + p*m - 53. What is the least common multiple of 18 and d?
144
Let l = 183101/7 + -330130907/12621. What is the common denominator of l and -52/9?
5409
Suppose -6*x + 3*x + 81 = 0. Let p be -334 + -3 + -2 - (0 + -3). Let t = p + 345. Calculate the smallest common multiple of t and x.
27
Let l(y) = -436*y - 776. Calculate the smallest common multiple of l(-4) and 88.
968
Suppose -71*t - 10*t + 29*t + 11596 = 0. What is the least common multiple of t and 18?
4014
What is the least common multiple of -446*((-165)/(-22))/(-1) and 3?
3345
Let d = 145721/16 - 9108. What is the common denominator of -57/2086 and d?
16688
Suppose 4*u - 2*s - 2*s = -384, -4*u - 2*s - 366 = 0. Calculate the common denominator of (-2 - u/15)/((-44)/55) and (114/(-8))/((-22)/(-4)).
44
Let f = 840 + -565. What is the common denominator of -65/12 and 4/(-18)*(-8)/(704/f)?
36
Find the common denominator of -8/335 and (-2)/7 + (-2416)/(-3360).
2010
Suppose 0 = 12*k - 208 - 13 - 121 + 54. Let y(g) = 25*g + 5. What is the least common multiple of y(7) and k?
360
Let z(u) = u**3 + 5*u**2 - 2*u - 59. Let w be z(8). Let v = w - 733. Calculate the lowest common multiple of v and 8.
24
Let h = -13991/18352 + -7/592. Let m = h - -1236/155. What is the common denominator of -29/158 and m?
790
Find the common denominator of 13/926 and (2/30*3)/(224/5656).
9260
Suppose 7*y - 10 - 11 = 0. Let l = -12 + 20. Let o = l - 2. What is the smallest common multiple of y and o?
6
Let n(a) = 55*a**2 - 6*a + 5. Let i be n(1). Calculate the lowest common multiple of i/15*(4*-5)/(-2) and 6.
36
Let c = 483461/78402 - -3/13067. Calculate the common denominator of c and 155/68 + -4 + 2.
204
Let i = 14271 - 27549/2. Let p = -2867/6 + i. Find the common denominator of p and (25 - 0)*5/(-6).
6
Let d(b) = b**3 - 11*b**2 + 4*b - 13. Let p(s) = -5*s + 41. Let z be p(6). Let v be d(z). Suppose 4*j = 1 + v. What is the smallest common multiple of 6 and j?
24
Let f = 489341/120 - 20414/5. Let a = -312 + 1546/5. Find the common denominator of a and f.
120
Let g(k) = -19*k + 615. Calculate the smallest common multiple of g(17) and 20.
1460
Suppose 35 = 2*n - 0*n - h, -3*h = -3*n + 57. Suppose 247*z + 4*m + 98 = 250*z, -4*m + 206 = 5*z. Calculate the lowest common multiple of z and n.
304
Suppose -2*p + 10 = 5*z - 0, 5*p - 25 = -4*z. Suppose -k = -6*k + 4*v - 114, k + 3*v + 38 = z. Find the common denominator of k/7 - (1 - 12/4) and -52/7.
7
What is the lowest common multiple of 1561 and 147/6*((-6 - 0) + 220/35)?
1561
Suppose 456*t = 230942 + 303946. Calculate the smallest common multiple of t and 51.
1173
Let k(a) = a**3 - 7*a**2 + 21*a - 1. Let q(i) = -i**2 - 20*i - 47. Let g be q(-17). Calculate the smallest common multiple of 85 and k(g).
595
Calculate the common denominator of ((-2254)/(-12))/(-7) - -2 and (-79)/(-32)*(57 - 59).
48
Let s = 2/65935 + -909911/263740. Find the common denominator of (1/4)/(30/(-476)) and s.
60
Let f be 14/4*345/(-12). Suppose -s = -4*y - 89, 525 = 2*s + 3*s - 4*y. Let c = f + s. Find the common denominator of 23/12 and c.
24
Let t = 933/4 - -3557/4. Let p = t + -17929/16. Find the common denominator of 99/28 and p.
112
Let i = 663597/23126740 + -3/44135. Calculate the common denominator of 83/18 and i.
4716
Let s = 79244 - 3803579/48. Calculate the common denominator of 3/4*(-23)/(-108) and s.
144
Let s = -1237/77 + 257897/15785. Find the common denominator of s and 123/70.
2870
Calculate the lowest common multiple of 32 and 750/(19/((-380)/(-15))).
4000
Suppose 