 = c**2 - 8*c - 7. Let q be y(9). Suppose -4*o = -q*o + a - 3, 2*o = -3*a + 5. Let b(d) = -d + 9. What is the least common multiple of o and b(0)?
9
Suppose 0 = -51*q + 46*q + 845. What is the lowest common multiple of q and 65?
845
Let o(w) = -w**3 + 13*w**2 + 11*w + 34. Let v be o(14). Let p = 30 + v. Suppose -k + 5*k + 4*r = 36, 0 = -3*r + 3. What is the least common multiple of k and p?
88
Let z(n) = 87*n + 182. Calculate the lowest common multiple of 14 and z(4).
3710
Calculate the smallest common multiple of (-56)/(-840) - (-3958)/30 and 16.
528
Let y = 508/5 - 1757/20. Calculate the common denominator of (14/(1176/300))/((-8)/(-7)) and y.
8
Let z be (6 + 14)*(-52)/8. Let c = 172 + z. Calculate the least common multiple of 18 and c.
126
Let h(o) = -13*o + 22. Calculate the lowest common multiple of h(-10) and 133.
1064
Let r = -1/7445 - 153361/44670. What is the common denominator of -71/96 and r?
480
What is the common denominator of (-196)/1862 + (-2229)/(-418) + -1 and 75/8?
88
Let v be (0 - -3)/(36/4152). What is the common denominator of v/(-84) - 2/(-7) and 85/14?
42
Let u = -8521/70 + 614/5. What is the common denominator of -33/13 and u?
182
Let r = 14 + 34. Suppose 7*g - 252 = 196. Let q = g - 48. What is the least common multiple of q and r?
48
Let t(q) be the first derivative of -5*q - 5 - 1/2*q**2. What is the smallest common multiple of t(-7) and 9?
18
Suppose g = -k + 3576, -22898 = -5*g + 5*k - 4968. Let w = 35737/10 - g. Calculate the common denominator of 48/5 and w.
10
Let b = -242 - -248. Calculate the lowest common multiple of b and 342.
342
Suppose 2*l = 2*b + 374, 4*l = 3*b - 0*b + 749. Let x = l + -2623/14. Let k = 569/2 + -298. What is the common denominator of x and k?
14
Suppose 0 = 3*w + 4*p - 193, -257 = -4*w + 4*p - 9*p. What is the least common multiple of 49 and w?
441
Let d = 3543/4 + -877. Find the common denominator of -2 + 8/(-4) - (-15)/(-16) and d.
16
Calculate the common denominator of 21 - (347/54 - -15) and 3/(-9) - 37/(-24).
216
Suppose 44 + 40 = 6*t. Let s(w) = t*w**2 + w**3 + 7*w + 5 + 9*w - 5*w. Calculate the least common multiple of 10 and s(-13).
310
Let g be (-672)/(-20)*(2 - 857). Let h = 689621/24 + g. Find the common denominator of h and 47.
24
Let z(x) = -x**3 + 5*x**2 - 3*x - 3. Let n be z(4). Calculate the common denominator of -26 and 2/n + (-13)/(-12).
12
Let y = -40331/36 - -268081/180. Let k = 727/2 - y. Find the common denominator of -131/24 and k.
120
What is the common denominator of -73/188 and (436/(7 + -3))/(-12)?
564
Let b(w) = -4*w - 18. Let o(v) = -3*v - 17. Let g(y) = 5*b(y) - 6*o(y). Calculate the common denominator of 67/9 and g(5).
9
What is the common denominator of 12/143 and 510/468 + 1/3?
286
Let l be (-3)/(-1) + -3 + 5. Suppose -6 = -2*h + t, 0*t - 18 = -l*h + 4*t. Suppose -2*y = h*y - 48. Calculate the lowest common multiple of 14 and y.
84
What is the smallest common multiple of (-70)/(-6) + (-16)/(-48) and 20?
60
Let n = -16303/16104 - -17/366. What is the common denominator of n and -103/48?
528
Let x = 1202207/9210 - 1958/15. Let i = x - -61709/3684. Find the common denominator of i and 29/18 + 2/(-2).
36
Let d = 34 + -90. What is the common denominator of 43/6 and 1/((d/38)/2)?
42
Let s = -22703 + 908021/40. Find the common denominator of -143/48 and s.
240
What is the least common multiple of 11 + -15 + (1 - -5) and 7?
14
Suppose 142*l - 144*l = 510. Find the common denominator of -71/50 and 1*-1*l/(-36).
300
Let b = 1/1013 + -19313/66858. Calculate the common denominator of 133/96 and b.
1056
Let v = 48 - 28. Let h(d) = -3*d + 31. Let w = 2 - -7. Calculate the least common multiple of v and h(w).
20
Let y = 11369 + -204697/18. Calculate the common denominator of 103/132 and y.
396
Suppose 71 = 4*s + s + 51. Suppose -4*y - 104 = -5*k, 0 = 3*k - 6*y + y - 52. Calculate the lowest common multiple of k and s.
24
Suppose 3*u + 4*z = 22, -5*u + z - 2 = -2*z. Suppose -4*r + u*r = -8. Suppose 0 = o + r*o - 50. Calculate the lowest common multiple of o and 14.
70
Let n = 21 - 1. Let j = -12 + n. What is the common denominator of (54/j)/((-9)/(-54)) and -115/6?
6
Suppose 0 = -21*v - 3028 + 10000. What is the lowest common multiple of 9 and v?
2988
Let t(x) = 35*x - 53. Suppose 2*i + 17 = 19. Calculate the smallest common multiple of t(4) and i.
87
Let z be (-11632)/(-88) - 4/22. Find the common denominator of 4 - (4 + z/56) and -151/18.
126
Let v be ((-4)/(-10))/(16/(-480)). What is the common denominator of 2498/308 + v/66 and -52/7?
14
Let u(x) = 86*x - 25. Let y(i) = -17*i + 5. Let f(r) = -2*u(r) - 11*y(r). Calculate the smallest common multiple of f(1) and 6.
30
Suppose -f - 5*g = -3*g - 14, -17 = -f - g. Calculate the least common multiple of 3 and (-410)/(-18) + 1 + f/90.
24
Let h(a) = a**2 + 5*a - 6. Calculate the least common multiple of 90 and h(4).
90
Suppose -4*p = 5*u - 92, -p + 0*p - 5*u = -8. Let w(c) = -33*c - 2731. What is the smallest common multiple of p and w(-83)?
56
Let t(u) = -14 + 4*u - 10*u + 4*u. Calculate the least common multiple of t(-10) and 2.
6
Let p = 1101 + -37393/34. Let j = -150602 - -10240457/68. Let k = p - j. Find the common denominator of 99/80 and k.
80
Let l = -346 + 202. Calculate the lowest common multiple of 16 and 5/2*l/(-20).
144
Let k(c) = 9 - 4 + c - 1. Suppose -2*x - 2*x + 1 = -3*r, -2*x + r + 3 = 0. What is the smallest common multiple of 18 and k(x)?
72
Let l(v) = 5*v**2 - v - 14. Let s be l(-3). Suppose -2*n + s = 6. Calculate the lowest common multiple of n and 8.
56
Let o(b) = b**2 + 6*b - 12. Let t be o(-12). Find the common denominator of -15/16 and (-117)/t*(-20)/(-8).
16
Let z be 2089/(-152) + (-13)/13. Let n be (-3100)/266 - (-2)/7. Let p = n - z. Calculate the common denominator of p and -19/11.
88
Let u = -247 - -366. Calculate the lowest common multiple of u and 51.
357
Let h = -159941/18 + 8892. Find the common denominator of h and -65/9.
18
Let u(h) = -h**3 - 14*h**2 - 12*h + 29. Let q be u(-12). Let w = q + 150. Calculate the lowest common multiple of 5 and w.
35
Let a be 18/12 + 3/(-2). Suppose 3*h - 101 - 34 = a. Let g = -34 + h. Calculate the smallest common multiple of 6 and g.
66
Suppose 0 = 2*z + 4*x + 11 + 5, 3 = -x. What is the common denominator of -49/9 and 4/10 + z*14/45?
9
Calculate the common denominator of ((-1)/12)/(-1*(-1)/(-291)) and 119/12.
12
Let f = 17119/2 + -8563. Find the common denominator of (-212)/102*1/2 and f.
102
What is the common denominator of 59/129 and 12/(-28) - (-4 + 209/(-210))?
1290
Suppose -3*s - 73 + 0 = y, 5*y = 4*s + 91. Let f = -12 - s. Let z = -10 + f. Calculate the lowest common multiple of z and 9.
18
Suppose -5*o + 4*o = -5*a + 686, 0 = 5*a - 2*o - 687. Let c = 422/3 - a. Calculate the common denominator of 19/9 and c.
9
Let m = -581732926331/48234228 + 3/8039038. Let w = m - -12052. Calculate the common denominator of w and 53/4.
12
Let n be 0 + 1 - 0/(-2). What is the common denominator of n - ((-267)/(-27) + -2) and -11/6?
18
Let o be 1/(-1*(-2)/(-42)). Let t = -6/2887 - 204929/23096. Find the common denominator of t and ((-1)/o)/(2/24).
56
Let q = 11/26 + -415/13. Suppose 0 = -4*w + 2*w - 20. Calculate the common denominator of q and ((-122)/12)/(w/3).
20
What is the common denominator of ((-2705)/(-1160) + -1)/(6/4) and -55/6?
348
Find the common denominator of 2 + 2/11 + 1389/(-198) and -1/25.
150
Suppose 16 + 14 = 3*r. Calculate the common denominator of -3 and (5/r)/(10/164).
5
Let r be 2/2 + 30/(-4 + -1). Calculate the lowest common multiple of ((11 - 4) + r)*(-6)/(-3) and 7.
28
Let f(r) = 3*r**2 - 6*r. Let g(v) = 4*v**2 - 6*v. Let a be (-10)/(1 - (2 + 1)). Let x(m) = a*g(m) - 6*f(m). Calculate the least common multiple of x(-5) and 18.
180
Suppose 19*h - 798 = 13*h. Calculate the common denominator of 55/18 and (-12)/(2 + 1)*h/210.
90
Let c be (-16)/72 + (-58)/(-18). Suppose 2*r - 4*a = 0, -3*r = -r - c*a - 5. What is the lowest common multiple of 2 and r?
10
Let k(g) = 3*g**3 + 7*g**2 + 7*g + 1. Let z be k(-7). Let v be z/(-1400) + 10/35. Let d = v + -3/50. Calculate the common denominator of -47/4 and d.
4
Suppose 261 = 5*s - 874. Suppose -4*a + 39 = s. What is the common denominator of a and 25/3?
3
Let b be (1 - -7)/(36/(-54)). Calculate