7/48 and 779/(-924) + 14/1078*42?
336
Let h(t) = -t**3 - 18*t**2 - 18*t + 18. Let w be h(-17). Suppose -4*b - 7 + w = -4*c, 0 = b + 4*c - 32. Calculate the least common multiple of b and 1070.
6420
What is the common denominator of -58 - -60 - (-40)/36 and -49/242?
2178
Let u = -1/98 - -4609/294. Let k be (-62)/(-341) + 43/913. Let q = k + -2431/830. What is the common denominator of q and u?
30
Let u(s) = 64*s**2 - 1209*s + 3. What is the smallest common multiple of (-6)/(12/(-70)) - -1 and u(19)?
1224
Let f = 285156 - 119195145/418. Calculate the common denominator of -43/114 and f.
1254
Let f(j) = 2*j**3 - j**2 + 76*j - 320. What is the smallest common multiple of 606 and f(4)?
9696
Suppose 2*d - 7*d = -f - 3360, 0 = 2*f. Suppose -9*c = -15*c + d. Calculate the lowest common multiple of c and 126.
1008
Let g be (-1327854)/(-885210) - (-3)/(-2). Let k = g - 1177698274/3098235. Let d = 380 + k. What is the common denominator of d and 31/4?
84
Let m(v) = 2*v. Let z = -1031 - -482. Let t = 552 + z. What is the least common multiple of t and m(4)?
24
Let p(f) = 39*f**2 - 8*f + 20. Calculate the least common multiple of (-3)/(-21) + 13/(273/18) and p(3).
347
Suppose -2*w = -3*r - 2 - 0, 0 = -5*r - 2*w - 14. Find the common denominator of -23/3 and ((-68)/(-24)*3)/(1/r).
3
Let l be (-2)/(-21) + 15 + (-56945290)/6720. Let b(i) = 337*i**2 + 7*i - 3. Let o be b(5). Let z = l + o. Find the common denominator of 3/14 and z.
224
Let u = -5738 + 6648. What is the smallest common multiple of u and 120?
10920
Let p be (32/7572)/(-6 - 96/(-18)). Let o = p - -1957/10096. Find the common denominator of (-6)/(-23)*11/4 and o.
368
Let t(v) = v**2 + 8*v - 44. Let m be t(-12). Suppose m*s = -11 + 3, -3*s - 11 = -5*b. Calculate the lowest common multiple of b and 24.
24
Calculate the common denominator of (8/12 + -1)*8/24 and -2 + (-129)/94 + 3.
846
Let r(v) = 3*v - 1. Let b be r(-1). What is the common denominator of -16/55 and 318/(-800)*b - (-1)/(-4)?
550
Let m(h) = 3*h**2 + 15*h + 14. Let q be m(-4). Calculate the common denominator of ((-5)/4)/((-2)/15) and ((-5)/(-8) - q)/((-3)/(-4)).
24
Let i(u) = -u**3 - 7*u**2 - 9*u - 4. Suppose -276*h - 845 + 3605 = 0. What is the least common multiple of h and i(-6)?
70
Let s = -7 + 31. Suppose 432 - 477 = -15*b. Calculate the smallest common multiple of b and s.
24
Suppose -30*k = 20*k - 101*k + 146370. What is the least common multiple of 50 and k?
14350
Let c = -13533 + 13548. Let w(g) = g - 6. Let v be w(6). Suppose 4*u + 4 - 112 = v. Calculate the lowest common multiple of c and u.
135
Suppose 9690 - 9525 = 11*l. Calculate the least common multiple of 1140 and l.
1140
Suppose 96 = -y + 4*y. Suppose 7*c - 80 = 144. Suppose 0*s - s = -c. Calculate the smallest common multiple of s and y.
32
Calculate the common denominator of (267/(-2))/(7620/(-21) + (-8)/56) and 21/86.
10406
Let f = 4649 - 4577. Calculate the least common multiple of 81 and f.
648
Let i(u) be the second derivative of -2*u**3/3 - 7*u**2 - 26*u. Let n be i(-3). Let q(t) = 2*t**2 + 6*t + 6. What is the least common multiple of q(n) and 17?
34
Suppose 0 = q + d - 4, -d = 5*q - 2*q - 8. Suppose q*p = k + 62, 4*p + 154 = 9*p - 3*k. Let u = -11 + p. Calculate the least common multiple of u and 15.
105
Suppose 2*j + 5*y - 345 = 0, 6*y - 4 = 2*y. Let a be j*1/9*1132/8. Let v = -2680 + a. What is the common denominator of -28 and v?
9
Let t = 19821 - 19429. What is the least common multiple of t and 784?
784
Let q be ((-18088)/91)/((-6)/(-9)). Let a = 32165/104 + q. Find the common denominator of (2/24*-2)/(15/915) and a.
24
Let t be (((-52356)/25)/4)/((-596)/506). Let h = 4/3725 + t. Let v = h - 395. Calculate the common denominator of v and -31/18.
18
Calculate the common denominator of 35/2354 and (61308/3852 + -16)*2/22.
2354
Suppose -5*m = -10*m - 5*c + 225, 2*m - 95 = 3*c. Let f = 2 + m. Let r = 52 - f. What is the least common multiple of 1 and r?
4
Suppose v = 3*m - 15, 2*m = 4*v - 0*m + 70. What is the least common multiple of 5 and ((-50)/(-45))/5 - 356/v?
20
Let a(y) = y - 10. Let l be a(6). Calculate the common denominator of 15/675*(-265)/2 and (-8)/l*25/12.
18
Let g = -188752625/1128 - -167334. What is the common denominator of 101/20 and g?
5640
Let k = -278/23 + 6701/621. Let i be 676/(-11)*(-984)/144. Let o = -418 + i. Calculate the common denominator of k and o.
297
What is the common denominator of 4 + 7 + (-86669)/7920 and 36/35?
5040
Let u = -4616371/118 - -39121. What is the common denominator of u and 14/49 + (-146)/(-224)?
944
Let a = -76 + 97. Suppose -23*c + 8 = -a*c. What is the lowest common multiple of c and 5?
20
Suppose -143 = -12*c - 11. Suppose -c*g = -w - 8*g + 103, 4*w - 3*g = 376. Calculate the least common multiple of w and 104.
728
Let g = 3168 + -12942. Let x = g - -117391/12. Calculate the common denominator of x and ((-157707)/242)/59 + 7*1.
132
Let y(f) = -3*f**2 + 322*f + 1263. What is the least common multiple of 18 and y(111)?
126
What is the common denominator of 43/1860 and -29 + 26 - (-169)/24?
3720
Suppose 176*o = 12507 + 62469. Calculate the smallest common multiple of o and 15.
2130
Let p be ((-12)/(-30))/(8/60). Calculate the smallest common multiple of ((-4)/(-12))/(p/162) and 6.
18
Suppose -32 = -5*q + 21*q. What is the common denominator of 2*2008/(-480) - (q - 2) and -97/14?
210
Suppose -29*d + 5019 - 611 = 0. What is the least common multiple of d and 112?
2128
Let t(h) = -h**3 + 37*h**2 - 34*h - 66. Let f be t(36). Suppose 3*x + f = 3*k + 24, -4*k - 8 = 0. Calculate the smallest common multiple of x and 60.
60
What is the common denominator of ((-105)/27)/(((-2)/(-7))/(84/(-196))) and -103/46?
138
Let k be (-12 + 11)/((-3 - 0)/(-633)). Calculate the common denominator of 115/24 and k/(-12) - 6 - 7.
24
Suppose 2*w = 2*w + w. What is the common denominator of (1 + 21)*(-2)/60 - w and -7/55?
165
Let s be (14/(-21))/((-1)/(-72)). Let h be (-2 + -1)/(9/s*4). Suppose -5*g + 54 + 39 = 3*c, 3*g - 135 = -h*c. What is the smallest common multiple of 4 and c?
36
Let c(j) = -j**3 + 4*j**2 + 5*j. Let v(w) = 13*w**3 - 8 - 14*w**3 + 10 + 4*w**2 + 2*w. What is the lowest common multiple of c(4) and v(4)?
20
Suppose -32*u + 3585 + 11076 = -5*u. Calculate the least common multiple of u and 1.
543
Suppose 5*f - 10 = -5*o, 3*o - 5*f + 0 = 6. Let p(c) = -23*c + 38. Let a be p(-9). Let w = 251 - a. Calculate the smallest common multiple of w and o.
6
Suppose 0 = t - 3*y - 1166, -3*t + 1257 = -3*y - 2223. What is the least common multiple of 39 and t?
3471
Let j = -140629/1610 - -2031/23. Find the common denominator of -83/40 and j.
280
What is the common denominator of 1/(-9)*12 - (-2626)/1980 and -31/2376?
11880
Let g be (-31082)/(-6600) + (-2)/3. Let z = g - -222/275. What is the common denominator of -53/32 and z?
160
What is the lowest common multiple of -2*5/(75/(-1440)) and 60?
960
Find the common denominator of -7/1730 and (0 + (-305)/(-90))/((150/(-9))/10).
5190
Let m = -1328773/6 - -220401. Let s be -3 + 1067 + 8 + -15. Let j = s + m. Calculate the common denominator of j and 12/17.
102
Let r(q) = q**3 + 29*q**2 - 62*q + 80. Calculate the least common multiple of r(-31) and 1616.
8080
What is the common denominator of 1/((-10)/74)*(-224)/(-15232) and 151/2380?
2380
Let c(x) = 41*x**2 + 17 - 51 - 42*x**2 - 20*x - 9. Let s be c(-13). Let g = s + -36. What is the least common multiple of g and 12?
12
Suppose 5*t - 186 = 264. Let k be ((-909)/99 - -9) + 774/22. Suppose k = 2*a - m, a - 5*a - 2*m + t = 0. Calculate the least common multiple of 12 and a.
60
Suppose 77 = 26*c - 1. What is the least common multiple of c + (2 - 6 - -76) and 8?
600
Let f = 1013524/5732871 + -190/1077. Let m = -431179/42584 + f. Find the common denominator of m and ((-428)/(-114))/(304/114).
152
Let g = 2921 + -2831. What is the smallest common multiple of 210 and g?
630
Let z(y) = -58*y - 38. Let h be z(3). Let v = h - -230. Calculate the smallest common multiple of 146 and v.
1314
Suppose 0 = -3*o - b + 724, 0*b = 4*o - 4*b - 944. Suppose -64*h + 60*h + 160 = 0. What is the least common multiple of o and h?
240
Let m = 2321/27 - 992471/11529. Find the common denominator of m and -95/488.
3416
Let l be (-244)/(-14) + 112/196. Suppose -1