 smallest common multiple of 12 and f*(21/9)/(4/(-6)).
84
Let u be (-10 + 0)/(7/(-28)). Suppose 4*l - 44 = u. Let b = -587 - -620. Calculate the least common multiple of b and l.
231
Suppose i - 6598 + 1009 = 5*r, 2*i = 3*r + 11143. Let v = i + -122479/22. What is the common denominator of v and (8 - -5)/(3/(-2)*2)?
66
Let k = -11807/71496 - -13/39720. Calculate the common denominator of k and -57/100.
2700
Let x(v) be the first derivative of -v**3/3 + 9*v**2 + 18*v + 16. Calculate the common denominator of -79/87 and x(17).
87
Let q(i) = -2*i**3 - 17*i**2 - 150*i - 1426. What is the smallest common multiple of 6/(-21) - (-1992)/14 and q(-9)?
710
Let q = -85896 + 1545661/18. Let j = q + 26. Let d = -13/9 - j. Find the common denominator of d and 25/8.
8
Let o(v) = 21*v**3 - 6*v**2 + 128*v - 676. What is the smallest common multiple of o(5) and 2168?
19512
Let r be (-356)/10 - 6/(-10). Let l = 29 + r. Calculate the smallest common multiple of 4/l + 132/9 and 22.
154
Suppose x - 7 = -4*n, 2*n - n = -x + 7. Suppose 4*b + 2 = 5*s + 19, -2*s + 5*b = 17. What is the lowest common multiple of x and (s - -2)/((-16)/(-48))?
21
Suppose -25*h + 21*h = 0. Suppose h = -80*b + 84*b - 44. What is the least common multiple of (-3 + 2)/(5 + -2 - 4) and b?
11
Let v = 632 - 602. Calculate the least common multiple of 249 and v.
2490
Suppose 5*q + 279 = 3*l, 2*l + 0*l + 5*q = 211. What is the smallest common multiple of l and ((-1)/2)/(7 + 883/126*-1)?
882
What is the common denominator of 23/1085 and (-5 + (-174)/(-36))*(46/21 + -7)?
19530
Let k(x) = 6*x**3 + 12*x**2 + 2*x + 60. Let b(u) = u**3 + u**2 - u + 1. Let y(h) = -5*b(h) + k(h). What is the lowest common multiple of y(-7) and 2?
6
Let t be 64852/360 - 5/25. Let d = 180 - t. What is the common denominator of d and -31/40?
360
Let k = 522 - 516. Calculate the smallest common multiple of 1432 and k.
4296
Let o(l) = -l**2 + 4*l. Suppose 5*m + 15 + 5 = 2*r, 0 = -2*r - 5*m. What is the common denominator of o(r) and (-25)/6 - (-144)/(-108)?
2
Let s(m) = 186097*m**3 - 5*m**2 + 7*m + 12. Let o be s(17). Let d = o - 292574111007/320. Let u = 4253/5 + d. Calculate the common denominator of u and 91/8.
64
Let c(d) = 3*d**2 + 2*d - 61. Let x be c(14). What is the smallest common multiple of 8/(-28) + x/(-21)*-3 and 5?
395
Let f = -350003/3 - -3512861/30. Let z = f + -38639/90. What is the common denominator of z and 115/12?
180
Let d(k) = -413 - 2*k + 3*k + 426. Let j be d(-14). What is the common denominator of 3 + j - (-70)/4 and -14/13?
26
Suppose 5*d - 3 = -4*c, 38*c - 4*d = 36*c + 8. Let o = -77 - -123. Calculate the lowest common multiple of c and o.
46
Let z(u) = -u**3 + 9*u**2 + u + 11. Let s = -338 + 329. Calculate the lowest common multiple of (s/(-18))/((-98)/(-48) - 2) and z(9).
60
Suppose -f - 10 - 36 = -2*v, 2*v = 3*f + 50. Suppose 1632 = 88*x - 37*x. Calculate the least common multiple of v and x.
352
Calculate the common denominator of 1 + 9/(-5) + (-95053)/(-106560) and 91/864.
1728
Let d be 64/(-80)*(63132/(-27) - -1). Let v = d - 112247/60. Calculate the common denominator of 111/40 and v.
360
Suppose 3*t - 3*s - 309 = 0, -7*s - 108 = -t - 11*s. Calculate the lowest common multiple of t and 156.
312
Find the common denominator of 25/126 and (508/1050)/((-80)/(-25)*96/(-128)).
630
Let d be (-4 + 5865/(-6))/(72 - -4). Let l = d + 414/19. What is the common denominator of -61/192 and l?
192
Let m = -352/663 + 392282/711399. Let s = 76623/21460 - m. Calculate the common denominator of -103/98 and s.
980
Let l be ((-135)/(-12))/(54/(-576)). Let d = 173 + l. What is the least common multiple of d and 3?
159
Let q = 527 - 4221/8. Calculate the common denominator of q and 2/(-4) - 8/(-100)*480/(-42).
280
Let b(z) = 10*z + 6 + z**3 - z + 4*z + z + 11*z**2. Find the common denominator of -17/4 and b(-9).
4
Let k = 7/715 + 2258/22165. What is the common denominator of 55/8 and k?
3224
Suppose -4*c + 90 + 76 = -5*y, 205 = 5*c - 5*y. What is the smallest common multiple of c and (-20 + 26 - 10)/((-4)/14) - -10?
312
Suppose 0 = -t + b + 740, -t + 2*b + 3*b + 732 = 0. What is the lowest common multiple of (-4)/26 - t/(-91) and (-2)/((-144)/488) + (-2)/(-9)?
56
Suppose -3985 = -21*o + 299. Calculate the least common multiple of 24 and o.
408
Let x = -255 - 105. Suppose -3*b + g + 15 + 14 = 0, 0 = b - 3*g - 15. What is the least common multiple of b and x/45 - (-10 + 1)?
9
Let s = 1179887/2432908 - 12/12941. Calculate the common denominator of s and -206*((-87)/3509)/(24/(-22)).
2068
Let b = 402371/56 + -7187. What is the common denominator of -7/144 and b?
1008
Suppose 3*q = 1523 + 383 + 1448. What is the least common multiple of 26 and q?
1118
Suppose l - 149 = -7*s + 5*s, -s - 3*l + 87 = 0. What is the lowest common multiple of 128 and s?
1152
Suppose 19*l = 14*l - b + 154, l + 5*b + 22 = 0. Suppose -5*q - 100 = -8*y + 3*y, -4*y = -q - 74. What is the smallest common multiple of y and l?
198
Let u = -195 - -203. Let p(o) = -64*o - 176. What is the smallest common multiple of p(-15) and u?
784
Let i(w) = 16*w + 60. Let s be i(-14). Let h = 5905/36 + s. Calculate the common denominator of h and 5/6.
36
Let c = -1034343 - -3371958253/3260. Calculate the common denominator of -17/1304 and c.
6520
Suppose 3*q + 60*p = 58*p + 24, 5*q - 2*p - 56 = 0. Calculate the smallest common multiple of 785 and q.
1570
Suppose 66 = -8*y + 2*y. Let p = -5 - y. Calculate the smallest common multiple of 2 and (28/p)/1 - 28/42.
4
Let g be (-512)/(-17) - (-92)/(-782). Suppose 3*q - 99 = -g*q. What is the smallest common multiple of q and 33?
33
Let d(l) = l**2 - 4*l - 14. Let t be d(6). Let x(c) = c - 1. Let s be x(t). Find the common denominator of 37/(-16) + s/6 and 143/18.
144
Suppose 0 = -5*c + 4*z + 3978, 4*c + 177*z - 3186 = 179*z. Calculate the smallest common multiple of 399 and c.
798
Let t = 1240844 - 9930474510/8003. What is the common denominator of t and 14/53?
8003
Calculate the least common multiple of 384 and (-1249)/(-2) + (-717)/1434.
4992
Let w(q) = -9*q - 26. Let f be w(-4). Let l = f + -1. Calculate the least common multiple of l and -1 + 5 - (1 - 0).
9
Suppose 0 = 72*f - 73*f - 7. Let o(l) be the third derivative of l**6/60 + 7*l**5/30 + 5*l**3/6 - 2*l**2. Calculate the least common multiple of o(f) and 1.
5
Let b(g) = 5*g**2 - 32*g - 15. Calculate the lowest common multiple of b(-5) and 162.
810
Let p = -65949 + 65967. Suppose 5*u = 2*h - 234, u = 4*h - 15 - 21. Let l = u + 72. Calculate the smallest common multiple of p and l.
72
Suppose -1898 = 7*x - 743. Let h = -54 - x. Calculate the lowest common multiple of 6 and h.
222
Find the common denominator of 107/1104 and (-22 + (-28890)/(-1320))*(61/15 + 0).
12144
What is the common denominator of (3 + (-171)/(-30))/(48/(-20)) and -56/1107?
8856
Suppose 267*v = 122*v + 3045. Calculate the lowest common multiple of v and 165.
1155
Suppose -2*i + 6 = -0*i, 2703 = 3*v + i. Calculate the common denominator of -8 + 873/162 + 7 and (1/8)/(21/v).
126
Let i(h) = -13*h**2 - 99*h - 26. Let x be i(-5). Suppose 8*m - 4*m + 112 = 0. Calculate the common denominator of 4/3*(0 + x/m) and -113/10.
70
Let h(c) = 29*c + 32. Let u be h(-1). Suppose -32 = -3*v - 0*z + 2*z, 0 = -u*v - 5*z + 25. Calculate the least common multiple of 70 and v.
70
Let a(p) = p**2 + 102*p - 854. What is the least common multiple of 156 and a(8)?
156
Let t = 0 - 5. Suppose 16*v - 56 = 12*v. What is the smallest common multiple of v and -1*t/((-5)/(-4))?
28
Find the common denominator of ((-28674)/(-729))/((-36004)/(-3)) and -11/2.
18002
Calculate the common denominator of 6954/(-24120) + 8/(-160)*-4 and -71/402.
804
Let m = 12163229 - 170200069/14. Let b = -6084 + m. Let o = -4907/4450 - -6/2225. What is the common denominator of b and o?
70
Suppose -4*y = -16, 2*y + 3566 = -10*r + 11*r. Let d = 142971/40 - r. Find the common denominator of -53/55 and d.
440
What is the common denominator of -87/856 and 254/80*(-550)/(-660)?
5136
Let s = 8699/16 - 544. Suppose 4*a - 1256 = p, 16 = -0*p + 4*p. Find the common denominator of s and 122/a*(-50)/(-40).
1008
Let u be (0 - 68/1450)*(-890)/(-24). Let g = 1/174 + u. What is the common denominator of -63/40 and g?
120
Let u(h) = 3*h**3 + h**2 - h + 1. Suppose 