-16/1073. Find the common denominator of z and 31/356.
356
Let o(b) be the first derivative of -20*b + 31 - 1/3*b**3 + 27/2*b**2. What is the smallest common multiple of 4 and o(23)?
72
Find the common denominator of -35/2907 and (-204)/(-1734) + ((-40)/17)/((-9)/14).
2907
Let r = -10384 - -12256. What is the least common multiple of 2028 and r?
24336
Suppose 0 = -4*x + 12, 68*w - 72*w = -5*x - 33. Let p = -4 + 24. What is the least common multiple of p and w?
60
Find the common denominator of ((-1890)/(-4032))/(294/20) and -65/4312.
8624
Let r = 1315/94 - -917/47. Let d = 938106/35 + -26801. What is the common denominator of r and d?
70
Let h = 14537 - 14103. What is the least common multiple of h and 2?
434
Let x = 14865 - 862135/58. Find the common denominator of x and (-3339)/(-168)*2/(-57).
2204
Let q(w) = w - 2. Let g be q(7). Find the common denominator of g/(45/(-66)) - 0 and (-206)/(-16) + (-912)/114.
24
Calculate the common denominator of (-9)/(-7 - -4) + (-348)/(-1050)*-5 and 109/9280.
64960
Find the common denominator of (-145 + -4 + -2)*5/(-570) and 37/324.
6156
Let o(m) = 10*m + 100. Let w be o(-8). Calculate the least common multiple of 57 and (w - 1) + 3 + -9 + 8.
399
Let u = -2/1909 + -66623/183264. What is the common denominator of (-388*36/(-192))/(8*21) and u?
672
Let s = 1458 + -233. What is the lowest common multiple of s and 1?
1225
Let d be -1 + 8 - (4 + 0). Suppose -d*a - 5*a = -576. Calculate the smallest common multiple of 48 and a.
144
What is the smallest common multiple of 60 and (6 + -1)/(-18 - 4301/(-238))?
420
Calculate the least common multiple of 153 and 220/(-8)*(-25 + 19).
8415
Let m(q) = 3*q**2 + 3*q + 30. Let i be m(-10). What is the common denominator of 5/(-18)*380/i and 49/22?
594
Let a(o) = o**2 + 13*o + 39. Let m be a(-9). Suppose 4*u + m*f = -u + 18, 4*f - 19 = -5*u. Calculate the lowest common multiple of u and 1.
3
Let y = -207 - -381. Let g = y + -164. Calculate the lowest common multiple of 5 and g.
10
Suppose 5*t - 261 = 5*x + 619, 182 = t - 2*x. Calculate the smallest common multiple of 230 and t.
3910
What is the smallest common multiple of (-9)/36*(-366 - (3 + -5)) and 490?
6370
What is the common denominator of (3/(-1170))/((-600)/(-26750)) and 145/198?
10296
Let f(m) = -516*m - 11. Let h be f(4). Find the common denominator of 8/(-20) + (-1680)/h and 34/7.
581
Let z be 4*(-3)/3 + 3 + -5. Let k = -292 + 7591/26. Calculate the common denominator of k and z/(-27)*3*606/8.
26
Suppose 4 + 20 = -4*w. Let j be ((-231)/(-6) - 4)*(-16)/w. Calculate the lowest common multiple of (j/30*-3)/(4/(-10)) and 6.
138
Suppose -5*v - 1538 = -2*p, -5 = -2*p + 7*p. What is the common denominator of -17/44 and (6/v - 0)*2752/258?
308
Suppose 2*v = 5*v - 2*a + 107, 0 = 2*a + 10. Suppose -10*x - 445 + 115 = 0. Let j = x - v. What is the smallest common multiple of j and 14?
42
Suppose -10*u = -7*u + 9, 4*p = 4*u + 12288. Let x = -56958371/18657 - 10086/691. Let s = x + p. Find the common denominator of s and 73/9.
27
Suppose x + 21 = -13. Let t = x + 48. Let i = 38989 + -38988. Calculate the lowest common multiple of t and i.
14
Suppose 192 = m - 2*y, 63 = y + 67. Let x = 303 - m. What is the least common multiple of x and 153?
1071
Let n = -4 + 28. Suppose 0 = -k + 93 + n. Let f = k - 116. What is the smallest common multiple of 18 and f?
18
Suppose k - 165 + 154 = 0. Let o(w) be the third derivative of -w**6/60 - w**5/15 - w**4/8 + 4*w**2. What is the lowest common multiple of o(-2) and k?
66
Let o = 18/253 + 365/1012. Let c = -220 + 217. What is the common denominator of c - ((-2950)/240 - (-6)/2) and o?
264
Let i = -213 - -212. Calculate the common denominator of (i/(-2))/(9/330) and 142/(-6) + -1 + 1.
3
Let o = 10 + -7. Suppose 7*t = 25 + o. Suppose -3*i + 74 = -2*x - 2*x, -t*x = 20. What is the least common multiple of i and 20?
180
Let z = -683999/133464 - 1/33366. Find the common denominator of -27/4759 and z.
38072
Let a(z) = -z + 1. Let r be a(-2). Suppose j + 66 = r*j. Suppose -8*n + 90 = 22*n. Calculate the smallest common multiple of n and j.
33
Suppose -3*h - 37 = -7. What is the common denominator of (-6)/(-75)*(-1410)/(-24) and 173/(-70) + (-4)/h?
70
Calculate the common denominator of 103/390 and (-109)/14*266/(-2280).
1560
Suppose -8*k = k - 90. Let v(y) = y**2 + 2*y - 2. Let b = 11 - 14. Calculate the least common multiple of k and v(b).
10
Suppose 14345 = 14*b - 9*b. Let u = 34339/12 - b. Find the common denominator of u and 157/42.
84
Calculate the common denominator of 40/7 and (-102)/8*(-2 - -11 - 117894/13104).
2912
Calculate the common denominator of ((-3)/(-32))/(972/(-46224)) and ((-16)/(-21))/((-4)/12).
168
Let k = -419441/4010 - 1/802. Let w = k + 3759/40. Calculate the common denominator of w and 10*77/(-196) + (-2)/7.
56
Let j = 9806 - 9758. What is the lowest common multiple of j and 72?
144
Suppose 10*r - 4*r = 918. Suppose -169*v + 6054 = 984. What is the smallest common multiple of r and v?
1530
Suppose 65 = 4*x + 1. Suppose -6*o + 2 = -x. Calculate the common denominator of -41/8 and ((-979)/(-132))/((-4)/o).
16
Suppose 0 = 8*v - 66 - 174. Calculate the lowest common multiple of 295 and v.
1770
Let d = -331 - -431. What is the common denominator of -179/30 and (-45)/d - (10 + -6)?
60
Let g = -96/637 + 52139/45864. Calculate the common denominator of g and -3*8/(-32) - 55/84.
504
Let d = -70087/10 + 7002. What is the common denominator of -32/9 and d?
90
Suppose 0 = q - 4, 3*q - 5 = 4*w - 17. Let v be ((-6)/4)/((-2)/4). Suppose v*s - 93 = -3*f, -f + 4*s + 26 = w*s. What is the lowest common multiple of 10 and f?
180
Suppose 4*s = -5*h + 66 + 279, 4*h = 20. Suppose -16*n + s = -14*n. What is the lowest common multiple of n and 48?
240
Suppose -s = -3*k - 2*k + 13, s - k - 7 = 0. Suppose -3*d = -4*d + s. Let q = 22 - -14. What is the lowest common multiple of q and d?
36
Let i be ((-18)/63)/((-1)/14). Suppose -61 + 13 = -i*c. Find the common denominator of -107/18 and (-81)/16 - (c + -16).
144
Suppose 0 = -4*m - 4*n - 1101 + 1165, -2*n + 41 = 3*m. What is the least common multiple of m and 4695?
14085
Let y(d) = -d**3 - 55*d**2 - 62*d + 141. Calculate the lowest common multiple of 48 and y(-54).
9168
Let b be (-604)/4*(-6 - -5). Let d = b - 146. Suppose -2*o = -5*w - d*o + 29, -2*o + 22 = 4*w. Calculate the least common multiple of 3 and w.
12
What is the common denominator of (-1 + 6 + -2)/((-990)/(-510)) and 47/6?
66
Let a be 4/14 + (-12)/42. Let p = 2 - a. Suppose 4*c - p*m = 2*c + 14, -75 = -5*c - 3*m. What is the lowest common multiple of c and 60?
60
Let o = -212117/179 - -1185. Let n = 3417/1432 + o. Find the common denominator of 1/36 and n.
72
What is the common denominator of (-712)/1246*1/(-185) and -69/350?
12950
Let o = -22 + 66. Suppose 2*m - o = 2*u, 0*m = -4*u + 2*m - 80. Calculate the common denominator of 37/9 and (-4)/u - 80/30.
9
Let j(z) = -4*z - 9. Let g(h) = -h - 1. Let y(l) = -12*g(l) + 4*j(l). What is the least common multiple of y(-8) and 16?
16
Let u = -843 + 1452. Let c be u/116*(0 - 8/(-3)). Let l(i) = -i + 20. Calculate the least common multiple of l(c) and 9.
18
Let i = 17941/37 + -62508109/128908. Calculate the common denominator of i and 101/268.
3484
Let a = -3676823/3909444 + 1/46541. Calculate the common denominator of a and -79/1323.
5292
Let q = 354/258437 - 5336607179/480692820. Let m = q - 49/155. Let t = -355/17 - -13/34. What is the common denominator of t and m?
12
What is the common denominator of (3 - (-1320)/(-402))*5/30*1 and 49/108?
7236
Suppose -39 = 5*t + k - 2*k, 0 = t + 5*k - 13. Let g(l) = -l**2 - 7*l + 6. Let a be g(t). Calculate the common denominator of (-434)/(-63)*a/8 and -83/70.
210
Let k = 6657479/24560 + -23/3070. Let u = k + -268. What is the common denominator of -37/24 and u?
48
Suppose -340*i + 11*i = -1299879. What is the lowest common multiple of i and 27?
11853
Suppose -3*o + 162 = -12*o. Let b be (-3 - o/8)/(1/4). Calculate the common denominator of b + 61*(-2)/(-48) and 49/33.
264
Let q = 39 - 38. Let r be -22*(20/8 - q). Calculate the common denominator of 7/4 and -3 - (282/r - -2) - 2.
44
Let u be 10/8*(-3202)/10. Let g = 710 + -334. Let x = u + g. Calculate the common denominator of x and 41/14.
28
Let m(