z = 4*w + 2. What is the smallest common multiple of z and r?
56
Suppose 4*j + 3*o + 776 = 0, -5*o + 41 = j + 252. Let n = j + 233. Calculate the smallest common multiple of n and 112.
336
Let j(y) = y**2 + 9*y + 20. Let m = 15 + -21. Let l be j(m). Suppose -l*n + 4*s = n - 26, -s = -5*n + 32. Calculate the least common multiple of n and 18.
18
Let i be (-2 + (-9)/2)*34. Let k = 653/3 + i. Let m = -1/682 - 8354/341. Find the common denominator of m and k.
6
Let p = -7624 - -7934. Calculate the smallest common multiple of p and 310.
310
Let x = 509 - 419. Let f(w) = -3*w + 75. Calculate the smallest common multiple of f(-5) and x.
90
Suppose 3*z + 4*t - 9536 = -z, -4*t + 4 = 0. Let l = -50119/21 + z. Calculate the common denominator of (-1)/(-2)*-4*(-52)/(-120) and l.
105
Let g = -229/978 - 20677/29340. What is the common denominator of g and -69/65?
2340
Let z = -1073/110 - -49/5. Suppose 0 = -10*b + 77 + 403. What is the common denominator of 1186/180 + b/60 and z?
198
Let m(q) be the third derivative of -7*q**4/24 + 18*q**3 + 2*q**2 - 21*q. Calculate the lowest common multiple of m(12) and 27.
216
Let d = -198452 - -198466. Let c = -268 + 582. What is the smallest common multiple of c and d?
2198
Let r(h) = 13*h**2 - 32*h - 24. Calculate the smallest common multiple of 1680 and r(6).
5040
Let a = -19 + 29. Let h(b) = 20*b - 14*b + 12 - 7*b. What is the smallest common multiple of h(a) and 6?
6
Let u = 516719/82056 + -1716/263. Calculate the common denominator of u and 43/312.
312
Suppose 0 = -33*x + 32*x - 362. Let b = 380 + x. Calculate the lowest common multiple of b and 291.
1746
Find the common denominator of -137/66 and 8 - (493780/(-11256))/(0 - 22/4).
4422
Let y(r) = -2*r + 2. Let n be y(-4). Suppose 8 = -n*v + 338. Calculate the common denominator of (-51)/((v/4)/(5/(-10))) and 29/8.
88
Suppose -17072 = 62*w - 76220. What is the smallest common multiple of 33 and w?
10494
Suppose -4*w - 3*u + 39 = -3*w, -2*w = 5*u - 80. What is the smallest common multiple of 266/56 + (-4)/(-1) + 5/4 and w?
90
Let n(k) = k**3 - 13*k**2 + 6. Suppose -7*h = -4*c - 3*h + 8, -5*h = -c - 10. Suppose c*j - 81 = -16. What is the smallest common multiple of 22 and n(j)?
66
Let z = -78 + 66. Calculate the lowest common multiple of 24 and 13*((-209)/(-66) - (-2)/z).
312
Let s = 5060 - 5054. Suppose -2*k + 0*k - 7 = -3*x, 0 = -5*k - 3*x - 28. What is the lowest common multiple of -5*2*(k - -2) and s?
30
Let z(u) = u**2 + 5*u - 3. Let v be z(5). Suppose -72*s + 166 = -1994. What is the common denominator of (v/(-5)*25/s)/1 and 16?
6
Let u = -8 - -10. Let x be ((-3)/((-6)/196))/u. Find the common denominator of 3/(-10)*x/(-3) and 27/20.
20
Let o = -977 + 7893/8. Calculate the common denominator of 35/158 and o.
632
Suppose u + 9 = 7. Calculate the smallest common multiple of 194 and (-22)/u - (-9)/((-18)/(-10)).
1552
Suppose -4*v - 3 = r + 13, -3*r = -3*v + 18. Let a(o) = -o**2 - 18*o - 17. Let p be a(r). Let f = p + -80. Calculate the common denominator of -21/10 and f.
10
Let o = -13037 - -13076. Suppose 10 = h + 1. Calculate the lowest common multiple of o and h.
117
Let s = -4839/91 - -348/7. Let u = 2011/75 + -512/25. Find the common denominator of s and u.
39
Let n = 11107/36 - 2836/9. Let u = -2572/19 + 110399/798. Calculate the common denominator of u and n.
84
Calculate the common denominator of -59/162 and (-350251)/(-14212) + (-2)/(-19).
324
Suppose -267*z + 271*z - m = 12, -15 = -5*z - 4*m. What is the least common multiple of 663 and z?
663
What is the common denominator of (-4)/(-34)*(0 - -1) + (-518)/(-10064) and 131/102?
408
Let z(l) = l**2 + 37*l + 370. What is the lowest common multiple of 15 - (-8)/((-24)/9) and z(-15)?
120
Let z be 1/(2/(5*2)). Let h = -5960 - -5988. Calculate the lowest common multiple of (z - 1) + 0/3 and h.
28
Let z(y) = -16281*y**2 + 24*y + 47. Let d be z(-2). Let a = d - -5079625/78. Find the common denominator of a and 1/(-2) + 81/(-16).
624
Let z = -60461/71346 + 48/1081. What is the common denominator of z and 71/408?
4488
Calculate the common denominator of -93/8 and -1 + (-697)/604 + -3 + 5.
1208
Let c = 1054587/34 + -31015. Find the common denominator of 41*(1/(-29))/1 and c.
986
Let q(j) = 2*j**2 + 17*j + 5. Let l be q(-13). Let u = l - 52. Suppose -3*h - 4*g + 26 = -14, -2*g = 10. What is the least common multiple of u and h?
140
Let a(h) = -3*h**2 - h. Let y be a(-1). Let t be (-3)/40494*(-2)/8*y. Let f = -492693/431936 - t. Calculate the common denominator of f and -81/2.
64
Let f = -72733 + 4800229/66. What is the common denominator of f and -59/3?
66
Let j(k) = 25*k + 72. Let f be j(-5). What is the lowest common multiple of 3*-1 + (-477)/f and 23?
138
Calculate the common denominator of -37/30 and -7 - (-18 + (-21444)/(-1800)).
150
Let q = -32405/61944 + 129/712. Calculate the common denominator of q and 17/60.
1740
Let h be -4*2*(-2 + 7). Let m(z) = z**2 + 5*z + 6. Calculate the lowest common multiple of m(-4) and (-2)/(12/h - 1/(-5)).
20
Let p = 1157671/8 + -16677973/120. Let w = p + -5722. Find the common denominator of 10/40 + (-10)/168 and w.
210
Suppose 10*s + 22*s - 1892 = -612. Let m(f) = -f + 20. Calculate the least common multiple of s and m(0).
40
What is the common denominator of (-4)/26 + 21155/1310400*12 and 97/28?
1680
Suppose 0 = -10*p + 5*p - 2*s + 32, -3*s - 36 = -3*p. Suppose -3*i = -217 - 146. Let c = i - 77. Calculate the lowest common multiple of p and c.
88
Suppose 0 = m + 2*l - 5370, 5*l - 46120 = -6*m - 13949. Calculate the smallest common multiple of m and 8.
10712
Let n be (29/9 - 3) + (-32)/(-18). Suppose -6*u = -5*u + 4*h - 5, 4*h + 34 = n*u. Let q = u + -11. Calculate the least common multiple of 32 and q.
32
Let f = 13318 + -239795/18. Calculate the common denominator of 7/(-140)*5 - (-266)/(-48) and f.
72
Suppose -3*b + 16 = 4*a, -16 = -3*a + 2*b - 4. Let d be (-112)/6*9/(-4). Suppose 3*n - d = 36. Calculate the lowest common multiple of n and a.
52
Let w = 3185 + -3092. Calculate the smallest common multiple of 69 and w.
2139
Let r = 89 + -29. Suppose u = -g + 15 - 1, -4*g - 5*u = -r. Suppose -3*k = -k - g. Calculate the smallest common multiple of k and 3.
15
Suppose -4*z + 4 = -h - 5, 23*z - 24*z + h = 0. Suppose -5*q - r + 3*r = -93, -q - 3*r + 22 = 0. What is the least common multiple of q and z?
57
Let v = -5848 - -356743/61. What is the common denominator of v and 7/((-70)/32) + 24/(-60)?
305
Suppose 22*v - 5665 = -22*v - 59*v. Suppose i - 20 = -4*s - 3*i, 0 = -4*i - 20. What is the lowest common multiple of s and v?
110
Let x = -120 - 26. Let n = x - -214. Let k = 83 - n. Calculate the smallest common multiple of k and 3.
15
Suppose 113*h + 50 = 118*h + 5*p, -4*h + 28 = p. Let t = 32 - 14. Let j = t + -8. Calculate the lowest common multiple of j and h.
30
What is the common denominator of 155/1428 and ((-230)/(-300))/(24/150)?
2856
Suppose -3171 = -245*z - 476. Calculate the smallest common multiple of 2333 and z.
25663
Suppose -2*v - 3*z = 2*v - 36, 8 = 2*z. Suppose -v*q = 2*q - 288. Suppose -12 = -4*l, -2*l - 42 = -4*x + x. Calculate the smallest common multiple of q and x.
144
Suppose -1806 = -4*y + 434. Calculate the common denominator of 7 - (6 - y/(-903)) and -71/33.
1419
Suppose 0*z = 3*z - 45. Let x = -136 + 155. Suppose -35 = -3*a + x. What is the lowest common multiple of z and a?
90
Let n(u) = u**3 - 9*u**2 + 3*u - 17. Let x be n(7). Let t = x + 108. Calculate the least common multiple of t and 1 - 2 - 42/(-2).
140
Calculate the smallest common multiple of 1505 and (-13 - 5/(-1))/(-2).
6020
Calculate the common denominator of 31/864 and (26/330*6)/(504/(-35)).
9504
Let k = 45 + -48. Let z(d) = -d + 3. What is the lowest common multiple of z(k) and 10?
30
Let h(y) = y**3 - 14*y**2 - 84*y + 697. Calculate the lowest common multiple of 144 and h(17).
2448
What is the common denominator of 39 and (-5)/1 + ((-263289)/17555)/(-3)?
17555
Suppose -4*z = -s - s - 16, -s = 3*z - 12. Find the common denominator of -38/63 and 7/(-252)*(-344)/z.
126
Let w = 113 + -53. Suppose 49 = 10*f + 1089. Let k = f - -116. Calculate the lowest common multiple of w and k.
60
Let v = 45 + -48. Let a be (v + 16/6)/((-2)/(-12)). What is the common denominator of ((-8)/(-3) + a)/(16