c and 25/18.
414
Suppose -11*i + 1569 + 4789 = 0. Let v = i - 522. Calculate the lowest common multiple of 10 and v.
280
Let t = 70157/14280 - 1244/255. What is the common denominator of t and -117/10?
840
Let q(o) be the third derivative of o**5/60 - 9*o**4/8 - 41*o**3/3 - 71*o**2. What is the least common multiple of q(-3) and 26 + (-3)/(3/2)?
24
Let p(i) = -i**3 - 3*i**2 - 12. Let b be p(-4). Suppose -b*k = -338 - 206. What is the smallest common multiple of (-2)/10 - k*4/(-20) and 12?
108
Let l(x) = -2*x - 19. Let r be l(-11). Suppose -28*p - 2 = -30*p. Calculate the smallest common multiple of (2 - 1/3)*r and p.
5
Find the common denominator of 33449/(-17430) - (-2)/(-1 + 2) and -17/35.
210
Suppose 6*q - 8*q = -1352. Let b = 13539/20 - q. Find the common denominator of b and (-188)/(-6)*3/56.
140
What is the common denominator of (-302)/144 + (210 - 208) and -29/4?
72
Let h = 215687/55467 + 2/6163. What is the common denominator of h and (126/168)/(342/(-134) + 3)?
360
Let m(s) = s**2 - s - 3. Let n(k) = -3*k**2 + k + 5. Let g(z) = -5*m(z) - 2*n(z). Calculate the least common multiple of 33 and g(4).
33
Let q = 36 + -196. Calculate the common denominator of 696/q*2/(-24) and -25/8.
80
Suppose -11*m = -4642 - 4268. Calculate the least common multiple of m and 81.
810
What is the common denominator of 118/264 + (-3)/(-12) and 1114/(-252) - 65/(-455)?
198
Let y be (5 + -4)*-68 - (-10 - -12). What is the smallest common multiple of 100 and (-1)/(-7) - (-1)/(y/(-60))?
100
Suppose -34*q + 31*q = -18, 2*u = -5*q + 90. What is the smallest common multiple of 2340 and u?
2340
Let k(f) = f**2 + 6*f - 6. Let c be k(-6). Let q be 334*((-9)/(-2) - (9 + c)). Find the common denominator of -101/18 and q/(-63) + 4/14.
18
Find the common denominator of -68/21 and (-101834)/271728 - -4*66/704.
118881
Suppose -6*m = -2*m - a - 70135, -3*m = -a - 52600. What is the lowest common multiple of 2 and (2/9 - m/(-189)) + -3?
90
Let b(g) = -2*g**3 - 32*g**2 + 73*g + 12. Let z be b(-18). Calculate the smallest common multiple of 960 and ((-21)/(-6) + -3)/(z/(-192)).
960
Suppose 3*a + 4*g - 194 = 0, 87*a = 83*a - 2*g + 262. What is the lowest common multiple of 1212 and a?
13332
Let j = -15296 - -15381. Calculate the lowest common multiple of j and 2 + (-2 + 4)*1.
340
Suppose 0 = f - 2*f + 18. What is the common denominator of f + (-2)/(2/2) and (3 + 4/18*-3)*(2 - -4)?
1
Let p(x) = -x**3 - 24*x**2 - 23*x - 5. Let n be p(-23). Let o be (n/(-492))/(-5)*712684/606. Let s = -6/4141 - o. Find the common denominator of s and 23/6.
18
What is the common denominator of 15/1397 and -5 + 3 + (-28005)/2805 + 12?
23749
Let w(i) = -i**3 - 6*i**2 - 6*i. Let g = 61 + -59. Let k be g/11 + 52/(-44) + -4. What is the least common multiple of w(k) and 6?
30
Let v = -337 - -342. Suppose v*m + 40 = 5*q, 52*m - 48*m = -2*q + 16. What is the lowest common multiple of 104 and q?
104
Suppose -l + 5*r = -62, -2*l + 5*r = 26 - 145. What is the least common multiple of 1*(1/(2 + 2) - (-385770)/1848) and l?
627
What is the lowest common multiple of (220/(-154))/((-10)/924) and 1221?
4884
Suppose o + j = 3*j + 128, -135 = -o - 5*j. Suppose 2*k = k + 2*s + o, -4*k - 4*s + 484 = 0. Calculate the lowest common multiple of 5 and k.
620
Let v = -26423 + 1585291/60. What is the common denominator of 125/126 and v?
1260
Suppose -2*v + v = -3*j - 26, 4*v - j = 60. Calculate the smallest common multiple of 28 + -1 + -1 + -1 + -1 and v.
168
Let a = 193669629617/2340 - 82764807. Let h = a - 38/585. Find the common denominator of -22/27 and h.
108
Suppose 10*j - 13*j - 11 = -n, -n + 4 = 4*j. Find the common denominator of -11/680 and ((-428)/n + 2)/6.
2040
Suppose 17*n - 3*n = 3375 + 3429. What is the smallest common multiple of 270 and n?
2430
Let b = -188751480 - -8305854395/44. Let f = -17940 + b. Calculate the common denominator of f and -83/36.
396
Let c(o) = -o**2 - 5*o + 22. Let z be c(-8). What is the smallest common multiple of ((-1)/(-2))/(z/(-264))*1 and 42?
462
Let w = 539937/8 - 67614. Let x = w + 127. Find the common denominator of -43/22 and x.
88
Let b be 1/1 + 15/(-3). Let d be (42/b)/(-7)*64/6. Find the common denominator of ((-2)/d)/(4 + 1618/(-404)) and 41/2.
4
Let w = 31 + -17. Suppose -28*b + 600 = 22*b. Suppose -3*v + 5*r = -47, 10*v + 4*r + 34 = b*v. Calculate the smallest common multiple of w and v.
126
Suppose 67*d + 5*d = -103*d + 2100. What is the least common multiple of 1232 and d?
3696
Let f = -18 + 13. Let q(t) = -2*t - 4. Suppose r - 2*l - 11 = 0, 4 - 6 = 2*l. Calculate the smallest common multiple of r and q(f).
18
Let l be ((-51)/68)/(2/(-88)). Suppose 28*o + v = 25*o + l, -11 = -o - 5*v. Suppose -3*z + 2 + 4 = 0. Calculate the smallest common multiple of z and o.
22
Let t(w) = -5*w - 93. Let n be t(-21). Suppose 32*i = 34*i - n. Calculate the smallest common multiple of i and 18.
18
Suppose 750 = w + 5*d, 3*w + 5*d - 2276 = 3*d. Calculate the lowest common multiple of w and 456.
2280
Suppose -13 = -3*v + 5. Calculate the common denominator of 79/50 and (-561)/(-180) - v/(-24).
150
Let s = -180/169 - -35803/22984. Calculate the common denominator of 127/6 and s.
408
Suppose 4*b - i = -910, 5*b + 1146 = -2*i - i. Let h = b + 231. What is the least common multiple of 137 and h?
411
Let n(m) = -m**3 - 26*m**2 + 6. Let l be n(-26). Let y be (-33332)/(-1550) + l + -11. Let t = y - 560/31. What is the common denominator of t and 44/5?
25
Let u(h) be the first derivative of 16*h**2 - 5*h + 39. What is the lowest common multiple of u(1) and 18?
54
Suppose 0 = 4*l - 3*y + 24 - 147, 4*y + 155 = 5*l. Calculate the least common multiple of ((-339)/226)/((-6)/12) and l.
27
Let g(z) = -2*z - 16. Let k be g(16). Calculate the common denominator of (-20)/(-120) - 241/k and (134/8)/((-18)/(-3)).
48
What is the common denominator of ((-4384)/(-195636))/((-6)/28) and 0 + 2 - 948/476?
1071
Let h be (39 - 44) + 24914/4984. Let a = h + 58577/12460. What is the common denominator of -95/46 and a?
230
Suppose 6*l + 572 - 890 = 0. Suppose 6*r = l + 667. Calculate the lowest common multiple of r and 60.
120
Calculate the common denominator of -9/1120 and (2/(-252))/(2088/6525).
10080
Suppose 191*q + 225*q = 87*q + 281624. What is the least common multiple of 96 and q?
10272
Let m = -519 - -924. Suppose 5*l + 0*l = -4*f + m, 2*l = 4*f - 426. Calculate the common denominator of 28/5 and ((-24)/(-10))/(f/(-200)).
35
Suppose 6 = -c - 3*c + 2*b, 5*c + 3*b = -24. Let j(t) = -t**3 + 20*t**2 + t - 20. Let u be j(20). What is the common denominator of (7/c)/(-2 + u) and -36/5?
30
Let x = -16461/11 - -1500. Suppose 0 = 5*a + 4*r + 27, -r - 3*r - 21 = 3*a. What is the common denominator of x and a - ((-460)/72 + -3)?
198
Let z = -108133/14 - -7731. Suppose 13 = -3*l + 16. What is the common denominator of z and ((-655)/30 - 5) + (l - -1)?
42
Let k = 398 + -383. Calculate the common denominator of (8 + 10184/(-1380))/((-12)/k) and -149/36.
828
Let t = 14/98701 + 9368587/56456972. Calculate the common denominator of t and 25/44.
572
Let b be (4/10 - 9/10)*-2. Find the common denominator of -1/111 and (-178)/378 - ((-15)/(-21) - b).
999
Let k = -23923/80 + 1488/5. What is the common denominator of ((-1647)/732)/(-6 - -1)*(-14)/(-24) and k?
80
Let w = -3567695/78 + 45738. What is the common denominator of (-3056)/(-3168) - 18/(-165)*10 and w?
234
Suppose 1044*h = 1008*h + 3024. Let y(g) = g**3 + 10*g**2 - 12*g - 9. What is the lowest common multiple of h and y(-11)?
84
Let m be 16780/22*1*16/32. Let a = 383 - m. What is the common denominator of -40/49 and a?
539
Let l(k) = -4*k + 8 + k**2 + 0 + 6 - 9. Let a be l(2). What is the common denominator of 4/11 and (-127)/(-22) - a/1?
22
Let b(h) = 95*h - 183. What is the least common multiple of b(2) and 71?
497
Let m = -10059037/210 + 47900. What is the common denominator of 143/70 and m?
210
Let t be (-40)/(-10) + (-106026)/27158. Let r = 1/734 - t. Let p = -487/1110 + r. Calculate the common denominator of p and -127/12.
60
Suppose 10 = 3*z + 2*z. Let y be z/((26/(-12))/13). What is the least common multiple of 6/9 - 100/y and 4?
36
Suppose 271528 = 13*x - 148736. Let i = 3071194/95 - x. Calculate the common denominator of -25/57 and i.
285
Suppose -255*k + 538