hird derivative of f**5/12 + 2*f**4/3 - 13*f**3/6 - 9*f**2 + f. Calculate the smallest common multiple of p(-7) and 14.
840
Let t = 8 + 208. Suppose 5*k - t = -4*k. Calculate the least common multiple of k and 48.
48
What is the common denominator of (-86*(-15)/(-100))/(3150/125) and 143/140?
420
Calculate the common denominator of -119/9152 and 0 + -1 + 119846/13312 + -22 + 14.
73216
Let b(t) = 2*t - 20. What is the common denominator of b(0) and 5/286?
286
Suppose -2567 = -5*k + 33. Calculate the common denominator of 67/4 and (2/6)/(11/(7590/k)).
52
Suppose 264 = 22*h - 11*h. Suppose -4*r + 18 = t - h, 2*t + 5*r - 93 = 0. What is the smallest common multiple of 12 and t?
108
Suppose -170*t + 189*t - 21722 - 2218 = 0. What is the least common multiple of t and 360?
2520
Let d = -4913922623/30 + 163753708. Let h = 43708 + d. Calculate the common denominator of 44/27 and h.
270
Let o = -739 - -777. Suppose -40*w + l + 9 = -o*w, 0 = -3*w - l + 26. Calculate the smallest common multiple of w and 2.
14
What is the smallest common multiple of 506 - ((-6 - 9) + 10) and 63?
4599
Let r(o) = 30*o**3 + 2*o**2 - 3*o + 2. Let b be r(2). Let w be 12/(-36) - b/(-3). What is the common denominator of -5 - 3/(w/(-213)) and 87/100?
900
Let c = 63320 - 6078601/96. What is the common denominator of 136/340 - (-182)/(-40) and c?
480
Let q be (-3)/5 + 342/(-120)*4. Find the common denominator of 53/18 and ((-8)/q)/(2000/(-4980)).
450
Suppose -6118 = -4*m - 2*q, -63*q + 67*q + 1534 = m. What is the smallest common multiple of m and 2?
1530
Let n = 3530 - 3506. What is the least common multiple of 252 and n?
504
Let d(v) = 2*v**2 - 45*v - 839. Calculate the smallest common multiple of 4 and d(-17).
504
Let s = 7 + 0. Suppose -r = 3*y - 2, 0*y = 3*y + 6. Let o(n) = -2*n**3 + 15*n**2 + 3*n + 49. Calculate the least common multiple of o(r) and s.
63
Suppose 211*q - 24*q = -83*q + 7560. What is the least common multiple of q and 7144?
50008
Suppose -1 = -2*p + 11. Suppose 3*y + c = -y + 2, -y + 2*c - 4 = 0. Suppose 2*s - 10 = y, -4*m + m + 24 = 3*s. What is the least common multiple of p and m?
6
What is the common denominator of 5 + ((-1)/(-6))/(((-1320)/(-3915))/(-8)) and 71/5398?
59378
Let v be (-135)/(-63) - 2 - 5818/(-140). Let n = v - 1119/20. Let b = -5541/5 + 1114. Find the common denominator of n and b.
20
Let r = -9218475/146 - -63140. Let b = 8/1857 + -58853/11142. Find the common denominator of r and b.
1314
What is the smallest common multiple of 9/4*4*38/57 and 24?
24
Let w = 19 - 1. Suppose -13*o + 4*o = w. Calculate the common denominator of 43/2 and ((-497)/(-42))/(4/o).
12
Suppose 0 = 4*j - 2*j - 12. Suppose 4*v + j = 50. Suppose 3*d - 13 = v. What is the lowest common multiple of d and 8?
8
Let r be 6/2 + (-20)/1. Let d = r - -19. What is the least common multiple of 72 and ((-1)/3)/(d/(-12))?
72
Find the common denominator of -7/10 and ((-178)/(-76184))/((-6)/(-344)).
3210
Suppose -5*d + 5*n = -4075, -d - 2*n + 939 = 127. Calculate the lowest common multiple of 370 and d.
4070
What is the smallest common multiple of ((-1075)/172)/((-10)/1104) and 69?
690
Suppose 21 = 2*z + q + 2*q, 4*z - 4*q = 12. Suppose 39 = 4*c - f - 38, 5*c - 96 = f. Let j = c + -15. Calculate the lowest common multiple of j and z.
12
What is the common denominator of 49/100 and (-10386)/1750 + 15*8/20?
3500
Let r = 15 - 1. Let y = -3394 + 3398. Suppose -g = 2, y*h - 2*g - r = 6. What is the least common multiple of 10 and h?
20
Let s(n) = -n + 31. Let t(m) = m**2 - 23*m - 40. Let o be t(25). Let r be s(o). Suppose -66 = -5*i - r. Calculate the smallest common multiple of i and 3.
9
Let c(v) = -2*v**3 - 13*v**2 + 4*v + 64. What is the least common multiple of 22 and c(-8)?
2464
Let s = -731 + 10233/14. Let m be (-5)/(-12)*134595/(-50). Let y = 1131 + m. Calculate the common denominator of y and s.
56
Let f(n) = 2*n - 2*n - 2 + 6*n. Suppose 3*g + 19 = 2*s, 0 = -3*s + 9*g - 12*g - 9. What is the lowest common multiple of 15 and f(s)?
30
Let v(d) = -242 - 5*d + 57*d + 54. Calculate the least common multiple of v(8) and 20.
1140
Let z = -117 - -375. Calculate the least common multiple of 22 and z.
2838
Let f be 5795 + 1 - (-10 + (-18)/(-2)). Let g = f - 52108/9. Find the common denominator of -53/15 and g.
45
Let q = 17670 - 636197/36. Let a = -15/397 + 8435/13101. What is the common denominator of a and q?
396
Let x = -427 - -441. What is the common denominator of (-770)/(-660)*4/x*38 and 32/63?
63
Suppose 0 = 5*k - 0*k - 275. Calculate the common denominator of -91/18 and ((-57)/38)/(3/k).
18
Let f be (4582/1146 - 0) + (-24 - -20). Let j = -4051/22920 - f. What is the common denominator of -53/30 and j?
120
Let k(h) = -h**3 + 8*h**2 + 8*h + 26. Let i be k(9). Suppose -5*s = -i*s + 1080. What is the smallest common multiple of s and 30?
90
Let x = -390 + 465. Find the common denominator of (-30)/(-2)*(2 + 0) and -2 - 101*(20/x)/(-4).
15
Let w = 4868 - 3668. Calculate the lowest common multiple of 12 and w.
1200
Let l(r) = r**2 - 38*r + 144. Let f be l(32). What is the common denominator of 161/f + 62/372 and 83/408?
816
Suppose 63*o = 20*o + 34787. Calculate the least common multiple of 9 and o.
7281
Let y = 414 - -481. Let l = y - 855. What is the lowest common multiple of l and 30?
120
Let j = -45346139/389210832 - 4/900951. Calculate the common denominator of 101/1620 and j.
6480
Let s = -61 + 368. Let b = -298 + s. What is the lowest common multiple of b and 278?
2502
Let l(q) = q + 7. Let t be l(-5). Let o be 1/(-3 - 68/(-22)). Find the common denominator of t/o + (-749)/154 and -39/16.
176
Calculate the least common multiple of 234 and (36/66 + 438/(-77))*-28.
1872
What is the common denominator of -2/351 and (84/756 - (-510)/(-3861))*(-40)/(-3)?
3861
Let g = -48449333/352 - -137640. Find the common denominator of g and 131/220.
1760
Let n(u) = -629*u + 13. Let v be n(-13). Let a = v - 180105/22. Let r = 1565/42 + -150/7. Find the common denominator of a and r.
66
Let j = 11309/2 + -5703. Find the common denominator of j and 101/8032.
8032
Let d = -57317 - -5158711/90. What is the common denominator of d and 37/30?
90
Let m = -64 - -67. Suppose -73 = m*f + 5. Let v = f - -32. What is the least common multiple of v and 4?
12
Let r(l) = l**3 + 8*l**2 + 9*l + 27. Calculate the smallest common multiple of 520 and r(-7).
520
Let f = 468456 + -432853511/924. Calculate the common denominator of f and 139/84.
924
Let h = 121/3 + -293/6. Find the common denominator of h and 83/44.
44
What is the common denominator of (-106)/318*(-19)/(-83) and -87/4?
996
Let p be (2/8 - (2 + -2))*8. Suppose -p*l + 107 = -0*l - 3*b, 0 = b - 1. What is the lowest common multiple of 40 and l?
440
Calculate the common denominator of 87/16 and ((-2)/(-48))/(((-1640)/(-544))/(3/4)).
3280
Let k = -8441 + 295461/35. Let r = -2221/210 + k. What is the common denominator of 103/144 and r?
144
Let t be (-14)/(-14)*(-2 - -19) - 5. Calculate the common denominator of 107/18 and t/3 + (1029/(-180) - -3).
180
Suppose -3*r + 7 = 4*u, 0*u = r + u - 2. Let c = -268 - r. Let p = c - -5669/21. What is the common denominator of p and -7/18?
126
Let j = -774239/602 + 696043847/48762. Let f = -12989 + j. Find the common denominator of 47/3 and f.
81
Find the common denominator of (3/1 - 2)*25/(-90) and -37 + 32 - 421/(-84).
252
Suppose 9*j = 6*j + 4*n + 13, 5*j + 5*n - 10 = 0. Suppose -5*z + 60 = -4*o, 0 = z + j*o - 4 - 8. What is the lowest common multiple of 81 and z?
324
Let l(k) = 93*k**2 - 8*k - 29. Calculate the smallest common multiple of 4 and l(-3).
832
Suppose -6*s - s + 21 = 0. Let g be 2/(4/(-4)) - (3 - 14). Suppose 5*l + g = 59. What is the least common multiple of s and l?
30
What is the lowest common multiple of 96 and 2*-1 - 2556/(-16 + 10)?
5088
Let f(b) = 11 + 10*b**2 + 4*b - 4*b**2 + 7*b. Let z(x) = -x**3 + 28*x**2 - 74*x - 30. Let o be z(25). What is the lowest common multiple of f(o) and 3?
318
Let n = -126 + 170. Suppose n + 12 = 14*y. What is the least common multiple of y and 2?
4
Let u = -220 + 219. What is the lowest common multiple of 159 and ((-6)/2)/(36/132*u)?
1749
Let u(i) = 495*i**2 - 3640*i + 3. What is the least common multiple of 466 and u(8)?
5126
Calculate the least common multiple 