 Find the common denominator of -13/136 and x.
2040
Let s(i) be the third derivative of i**5/60 - 5*i**4/8 + 65*i**3/6 - 15*i**2 + 2. Calculate the smallest common multiple of (-3)/4*(-1 + -3) and s(5).
15
Suppose 5*k + 115 = -c - 4*c, 3*k = c - 77. Let b be (2/8 - 0) + k/100. Suppose b = -q + 2 + 4. What is the least common multiple of q and 2?
6
Suppose -5*y = b + 9227, 7*b - 3*b - 5*y = -37033. Let w = 166621/18 + b. Calculate the common denominator of w and 30/7 - 8/(-16).
126
Let n = -131 + -8. Let o = 2501/10 + -247. Calculate the common denominator of (-54)/36 + n/(-12) and o.
60
Let c(i) be the second derivative of -i**4/6 - 3*i**3 - 29*i**2/2 - 80*i - 2. What is the least common multiple of c(-5) and 88?
88
Suppose -32 + 90 = -13*o - 254. Let t be ((-40)/6)/1*-90. Calculate the common denominator of (-2)/o*t/45 and 32/9.
9
Let t = -7 - 0. What is the least common multiple of 8 + -3 + 1 - 3 and (-4)/1 + t/(-1)?
3
Let v(g) = -g**3 - 15*g**2 + 12*g - 72. Let h be v(-16). Find the common denominator of (h/110)/(117/455) and 17/18.
198
Let j(u) = u**2 - 5*u - 10. Let p be j(7). Suppose -g = p*g - 180. Let q = -9/1465 + -147947/2930. Find the common denominator of g and q.
2
Let g = 1141643/50 + -22833. What is the common denominator of -169/3540 and g?
17700
Find the common denominator of -125/252 and (1455/18)/(750/225).
252
Suppose -2*w = 2*p + 2*p - 258, 4*p - 259 = -3*w. Let i(r) = 27*r**2 + 14*r + 8. Calculate the smallest common multiple of i(-2) and p.
704
Let x = 97 + -97. Calculate the common denominator of (-7)/(-5)*66/21 and x*(-4)/16 + (-23)/5.
5
Let s = -19793/20 - -991. Let u = -395 - -359. What is the common denominator of s and (4 + 83/(-20))/(u/685)?
240
Let m(f) = -f - 34. Let r be m(-35). Calculate the lowest common multiple of 160/9 - r*(-2)/9 and 42.
126
Calculate the common denominator of 23/11 and (-128)/(-4160)*50/72.
2574
Let i = -138/53 + 3107/318. Find the common denominator of i and -25/438.
438
Calculate the lowest common multiple of (-15134)/(-43) - 94/(-2021) and 1/12*3*4.
352
Let m(q) = 0*q + 4*q + 2*q**2 - 15 + 8*q. Let i(u) = -3*u**2 - 12*u + 15. Let s(t) = 3*i(t) + 4*m(t). What is the smallest common multiple of 32 and s(7)?
160
Let b be ((-1)/(-4))/((-683)/76 + 9). Suppose b*v - 26*v = -28. What is the least common multiple of v and 5?
20
Suppose -3*t - 3 + 40 = -2*k, k = -5. Suppose -t*o + 300 = 16*o. What is the lowest common multiple of 26 - 1*(-4)/(-2) and o?
24
Let z = 36/323 + -37003/4522. What is the common denominator of (5/81*(-242436)/(-2270))/((-4)/(-3)) and z?
126
Let x = -476/9 - -53. Calculate the common denominator of (1 - ((-70)/21 - 7)) + 2 and x.
9
Let y = 48 - 33. Suppose 40*k + 99*k - 3336 = 0. What is the lowest common multiple of y and k?
120
Let m be 49042/35 - (-16)/120. Let a = 5559/4 - m. What is the common denominator of a and -91/12?
12
Let k(m) = m**3 + 37*m**2 - 33*m + 54. Let a be k(-38). What is the least common multiple of 82 and -16*(8 - a/(-16))?
328
What is the common denominator of (-126)/(-2583)*35/(-49) and -139/2460?
17220
Let t = 1746 + -944. Let p = 1066 - t. Calculate the smallest common multiple of 3 and p.
264
What is the common denominator of 59/410 and ((-12 + 13)/((-12)/(-242)))/41?
1230
Let f(g) = g**2 - 21*g + 67. Let c be f(3). Calculate the least common multiple of 8 and (160/12)/(5/(2 + c)).
40
Let g(i) = -i + 12. Let u be g(10). Suppose 2*f - 18 = 2*j - 0*f, u*j = 3*f - 18. Calculate the common denominator of (-665)/(-3762) - (0 + (-2)/j) and -31/40.
440
Let v be (-37842)/(-1862) + (-3)/7. Let g = v - 37193/1710. Find the common denominator of g and -119/6.
90
Suppose q + c = -1 - 1, 4*q + 12 = -5*c. Suppose 24 = q*z - 4*k, 48 = 3*z + z + 4*k. What is the least common multiple of 6 and z?
12
What is the common denominator of -55/72 and (-1 - -3)/(-2)*(-8 - (-96732)/12000)?
9000
Suppose -3*k + 0*b - 2*b + 7 = 0, 4*b - 4 = -4*k. Suppose -2*q + k*q = -369. Let v = q - -129. Calculate the least common multiple of v and 124.
372
Let a = 1965 + -29. What is the least common multiple of 847 and a?
13552
Suppose -c + d + 16 = 0, 0 = 7*c - 9*c + 5*d + 35. Let q = -332/5 - -3562/55. Find the common denominator of (-110)/c*(-12)/(-56) and q.
77
Suppose 5*p - 2*w = 25, -5*p = 3*w - 2*w - 40. Calculate the lowest common multiple of 6 and p.
42
Suppose 18 = 3*c + 2*d, 10*c + 6 = 13*c - 2*d. Let w(t) = 5 + t**3 - 4*t + 0*t - 3*t**2 + 7. Calculate the smallest common multiple of 10 and w(c).
60
Let s = 1297 - 589. Suppose 0 = -11*i + 5*i + s. What is the smallest common multiple of i and 12?
708
Let w = 89272/25 + -445644449/124800. Find the common denominator of 5/26 and w.
4992
Suppose 5*m = -i - 24, -3*i + 3*m = m + 55. Let n = 31 + i. Suppose 2965 = 21*w + 2629. Calculate the smallest common multiple of w and n.
48
Suppose -26*b + 28*b = 32. Calculate the lowest common multiple of 10 - -9 - (1/1 + 0) and b.
144
Find the common denominator of -71/33 and -6 + 114/18 + 34/224.
3696
Let w = -17741 + 390393/22. Find the common denominator of -13/968 and w.
968
Let z = 2720/31 + -53687/620. What is the common denominator of (86/48)/(3/(-2)) and z?
180
Let n = 175581 - 57590653/328. What is the common denominator of n and -123/10?
1640
Let q be (-3)/1 - 164*1/(-2). Suppose 5*h - q = -19. Let d(i) = i + 11. What is the lowest common multiple of d(-5) and h?
12
What is the lowest common multiple of -516*-2*(279/(-36) - -8) and 2?
258
Let v = -19757 + 19763. What is the smallest common multiple of v and 4776?
4776
Let j be 23/(-15)*(-7434)/(-280). Let w = j - -864/25. What is the common denominator of 139/48 and w?
240
What is the common denominator of ((-8)/(-92)*3/(-4))/((-24)/(-110)) and -63/115?
920
Let f = 6 + 109. Suppose 355 - f = 4*z. Let t = -35 + z. Calculate the least common multiple of 4 and t.
100
Let n = -7647/4 + 87907/46. Find the common denominator of 26/3243 and n.
12972
Let g = 2163 + -2085. Calculate the lowest common multiple of g and 6.
78
Calculate the common denominator of 586/(-414) + (-15)/117*-13 and 24/713.
6417
Let x = -6785 + 183241/27. Let t = -79728 - -14350967/180. Calculate the common denominator of t and x.
540
Let m = -6315/16 + 2557051/6480. Find the common denominator of m and -83/16.
6480
Let f(c) = -c**2 - 4*c + 2. Let u be f(4). Let h be (45/u)/((-3)/(-4)). What is the common denominator of 149/30 and h + 4 + (-39)/42?
210
Suppose 13*j - 2232 = -2154. What is the smallest common multiple of 374 and j?
1122
Let y = -1/357 + 10373/7140. Let h = -10317/2 - -5182. Calculate the common denominator of y and h.
20
Let c = 34/11 - -157/88. Let a be (1 + 2)/(2 - 3). What is the common denominator of c and 9/5 - (a - 0)?
40
Let d be 41/(((-4)/(-18))/(52/6)). Suppose d = 3*a + 10*a. Calculate the least common multiple of 8 and a.
984
Let f be (-3426)/8*(-3 + 525/(-27)). Let r = -9589 + f. Let c = -2487 - -12389/5. Calculate the common denominator of c and r.
30
Let h = -271278 + 1343114/5. Let n = 557807/210 + h. Find the common denominator of n and -1/60.
420
What is the common denominator of 4 - 14 - (-25437)/2526 and 43/10?
4210
Let p be ((-82)/(-5) - 0)*(-9 + 4). What is the common denominator of -68/15 and 31/2*p/1353?
165
Let q(a) = 26*a**2 - 27*a - 120. Calculate the smallest common multiple of 6 and q(-4).
1212
Let s = -42983/342 - -1114/9. Let c = s + 52/19. What is the common denominator of c and 17/18?
18
What is the common denominator of 43/459 and 424/18*(-17)/10404?
1377
Let d = 49367 - 69558110/1409. Find the common denominator of 47/14 and d.
19726
Let s be 710/(-20)*882/3. What is the smallest common multiple of 141 and s/(-231) - (-8)/(-44)?
2115
Calculate the common denominator of (-19)/(-7)*(34 - 32) and -83/962.
6734
Calculate the smallest common multiple of (72/(-27))/((-5)/15) + 2064 and 1.
2072
Let n = 66 - 36. Calculate the lowest common multiple of 4*2 + 77280/276 and n.
1440
Let j = -3553327259783/4860 + 731137309. Let k = j + 2/1215. Calculate the common denominator of k and -57/2.
4
Let n = -368/19 - -7659/418. Calculate the common denominator of n and ((-1)/(-8 - (-168)/16))/((-104)/610).
286
Let p(j) = j**3 - 6*j**2 - 3*j + 31. Let t be p(4). Let b = 67 - t. What is the lowest common multiple of 4 and b?
80
