4114731/1440. What is the common denominator of -97/108 and r?
4320
Suppose -5*u + 100 = -5*m, u = -u + 3*m + 45. What is the least common multiple of (95/u - 3)/(4/18) and 57?
285
Let s(v) be the first derivative of 7 - 8*v**2 - 1/3*v**3 - 3*v. What is the least common multiple of s(-15) and 3?
12
Let z be (40/(-32))/((-2)/(80/2)). Let b = z - -1. Suppose h - c = 5, 0 = 5*h + 2*c - 20 - b. Calculate the least common multiple of 4 and h.
8
Let q = -195539 - -70394161/360. Find the common denominator of q and 119/1520.
13680
Let u = -2/1633347 + 191110811/7523196282. Find the common denominator of 59/18 and u.
41454
Suppose -5*o + 21428 = 19*o + 8252. What is the least common multiple of o and 72?
4392
Let z = -14981 - -15953. Calculate the least common multiple of 432 and z.
3888
Suppose 649 = -5*n - 3*v, -4*v + 631 = -5*n - v. Let a = n - -184. What is the common denominator of (-2)/(-2) + (2304/a)/6 and -91/4?
28
Let h(z) = 3*z**3 - 4*z**2 + 4*z - 5. Let d be h(5). Let x = d + -589. Find the common denominator of 6/(744/x) + 3 and 121/12.
372
Let u be ((-8)/24)/(4/(-24)). Calculate the common denominator of 3 - u - (-450)/(-621) and -52/21.
483
Let u be (-2 - (1 + -1)) + 4 + -8. Find the common denominator of -55/18 and (-9 - u)*13*(-4)/9.
18
Let q = 2651801/7818735 - 2/67989. Find the common denominator of 19/69 and q.
345
Suppose -231 = -4*r + 3*n, -n - 1 + 0 = 0. Let m = 59 - r. What is the least common multiple of m and 7?
14
Let p(v) = -85*v + 44. Let b be p(-3). Let y = -195 + b. What is the smallest common multiple of 16 and y?
208
Suppose 1 + 23 = -4*m. Let t = -3980/3 - -39659/30. What is the common denominator of t and (m/(-16))/((-45)/330)?
20
What is the common denominator of -8 + 57276/2688 - 13 and -155/336?
672
Suppose -5*d + 13*l = 10*l + 38, 0 = -d + 5*l + 10. Let j(q) = 2*q + 3. Calculate the smallest common multiple of j(6) and d/8 + (-226)/(-8)*1.
135
Let u(x) = -x**3 + 4*x**2 + 6*x + 6. Let p be u(-2). Suppose 66 + p = 14*a. What is the lowest common multiple of a and (1/2)/((-3)/(-192))?
96
Let z be 74487/(-20) - 4/(-8)*-8. Let x = 3725 + z. Find the common denominator of -3/64 and x.
320
Suppose -21*t - 15*t + 1920 = 24*t. Suppose 3*p + 1 - 7 = 0. Calculate the smallest common multiple of p and t.
32
Suppose 2*c - 3 = -d, 4*c = d + 4*d - 15. What is the least common multiple of (-1)/((-185)/9445) + ((-32)/(-74))/(-8) and d?
51
Let n(j) = 149*j + 4. Let g be n(-1). Let o = 16120/9 + -1796. Calculate the common denominator of o and ((-5)/(-6))/(15/g).
18
Let y(f) be the third derivative of -f**6/120 + f**5/6 - 3*f**4/4 - f**3 + 107*f**2. What is the lowest common multiple of 6 and y(6)?
30
What is the common denominator of 101/8 and (-1)/2*712/(-3382) + 12098/(-108433)?
45656
Suppose -4*y = -3*b - 6*y + 236, -232 = -3*b - y. Suppose 0 = 10*o + 9*o - b. What is the least common multiple of o and 26?
52
Let g be (16/6)/(2*(-6)/126). Find the common denominator of (-6)/(-12)*78/g and -77/2.
28
Let j be (-14)/(-56) - 3/(12/4477). Let s = j + 1121. Suppose o - 5*v - 65 = 18, 148 = 2*o - 4*v. Calculate the least common multiple of s and o.
68
Suppose 0*a = 4*a - 168. Suppose 5*t - n = 245, -t = -n - a - 11. Calculate the smallest common multiple of 84 and t.
336
Let a = -9803/255 - -751/17. What is the common denominator of -40/97 and a?
1455
Calculate the common denominator of -65/843 and 23/(290835/113364) + -9.
4215
Let m(y) = -y**3 - 27*y**2 + 25*y - 32. Let v be m(-28). Let t = 52 - v. Find the common denominator of 151/24 and (4 + t)*4/(-6).
24
Suppose 0 = 2*y + 7 - 55. Let t(x) = -7*x + 77. What is the lowest common multiple of y and t(7)?
168
Let h = 527 - 307. Let i = h - 216. Calculate the lowest common multiple of i and 6.
12
Let o be ((-1)/32)/(10/324340). Let v = 628 - -385. Let s = v + o. What is the common denominator of s and 103/20?
80
Let v(u) = 8*u - 166. Suppose 0 = 3*t + 4*z - 65, 8*z - 74 = -3*t + 13*z. What is the smallest common multiple of v(t) and 8/(-10)*(-485)/2?
1746
Let p = 24046/17 + -7504375/5304. What is the common denominator of -38/15 and p?
1560
Let l be 3*2/(-56)*472/1534. Let i = 249/728 - l. What is the common denominator of 4/(-2) - 21/(-30) and i?
40
Let s(x) = -x**3 - 4*x**2 + 3*x - 4. Suppose -323*i - 153*i = 1765 - 9381. Calculate the lowest common multiple of i and s(-5).
48
Let c = -336 + 2383. What is the lowest common multiple of c and 178?
4094
Let h(c) = -39 - 4*c - 2*c - 6 + 3*c. Let u be h(-20). Calculate the lowest common multiple of 5*(-2 - (-36)/u) and 2.
2
Calculate the lowest common multiple of (-18 + (-744)/(-48))*12/(-5) and 682.
2046
Find the common denominator of ((-24)/330)/((-3)/5) and (-8)/18*(-62)/(-12).
297
Calculate the common denominator of 8/(-1110)*((-2)/32 + (-2375)/4000) and -79/1184.
5920
What is the common denominator of 5/66 and (79/3)/(((-1330)/(-14))/19)?
330
Let l = 20 - 19. Calculate the common denominator of (129/48 - 2)*-2 and 5*l/10 + 51/48.
16
Let k = 48/653 + -5797/141048. Calculate the common denominator of k and 1/396.
2376
Let v = 209123/31896 - 3/3544. What is the common denominator of v and -10 + -7*(-1212)/2016?
72
Let j = 1122 + -12359/11. Suppose -41*y + 15 = -44*y. Calculate the common denominator of (y/(-10))/(4/(-8)) and j.
11
Let g(u) = 443*u - 4398. Calculate the lowest common multiple of g(11) and 285.
1425
Let i = -1441/20 + 368/5. Find the common denominator of i and -109/1178.
11780
Let v be (0/20)/(-3 - 2). What is the common denominator of (v - -4) + 81/30 and -17/220?
220
Let f = 108 - 87. Suppose -4*u + 100 = p + 4*p, u + 2*p - 22 = 0. What is the smallest common multiple of u and f?
210
Let j(b) = -2323*b - 57. Let u be j(-6). Let p = u + -249949/18. Find the common denominator of 5/62 and p.
558
Let x be 6/((-12)/(-3) - 6). Let k be -4 - (x + (658 - -3)). Let p = 4645/7 + k. What is the common denominator of p and -2/25?
175
Let j = 73 + -45. Let s = -1625 - -1623. Calculate the common denominator of 170/j - s/((-1)/(-1)) and -83/32.
224
Let v = -21/16 - -127/176. Suppose -2*k = -0*k - 240. Let s = k + -265/2. Calculate the common denominator of v and s.
22
Let y = -5278 - -42277/8. Calculate the common denominator of -19/312 and y.
312
Let m(x) = -2*x**2 + 22*x + 4. Suppose -p + 0*o + 11 = o, o = -3*p + 33. Calculate the least common multiple of m(p) and 53.
212
Calculate the lowest common multiple of 77 and 437240/272 + 9/(-6).
11242
Let x = -3/4622 - -54364/85507. Calculate the common denominator of x and (34 - 24) + (-1805)/200.
1480
Let s(c) = -2*c**2 - 12*c + 18. Let j be s(-7). Suppose 2*o = -2*i + 18, 22 = j*o + 2. What is the least common multiple of ((-20)/(-12))/(-5)*-33 and i?
44
Let a be 2 + -2530 + -1 + (8 - 4). What is the common denominator of (2/(-60))/((-10)/a*-1) and -187/30?
60
Find the common denominator of (-571)/68 + 1 + 7 and 6/(-88) + (-42)/231.
68
Suppose -3*u + 0*u - 105 = -3*q, 4*u + 2*q = -164. Let f = u + 54. What is the smallest common multiple of (215/f + -1)*(-6)/(-4) and 7?
140
Let v = -2/34277 + -1816471/3599085. Find the common denominator of v and -37/23.
2415
Find the common denominator of -20/3 and -4 + 54/6 + (-10)/472*223.
708
Suppose -4*d - d + 140 = 0. Let j(x) be the first derivative of x**3 + 41*x**2 + 140*x - 28. Calculate the smallest common multiple of d and j(-26).
252
Let b(n) = n**2 + 14*n - 14. Let c(r) = 5*r**2 + 57*r - 56. Let s = 12 + -10. Let o(k) = s*c(k) - 9*b(k). Calculate the lowest common multiple of o(11) and 9.
9
Suppose -4*q = 2*q - 8*q. Let m be q - (-5 - (24 - -4)). Suppose -m*d = -36*d + 12. What is the lowest common multiple of 18 and d?
36
Let u = 1529 + -459. Suppose 5*i + 0*i + u = 0. What is the common denominator of i/(-24) - (-48)/(-16) and -115/48?
48
Let h = -45 - -50. Suppose g + 2*g + h*y = 91, 0 = 3*g - 5*y - 71. What is the least common multiple of g and 30?
270
Let i be (6/36)/(1/8)*3. Let z be 40/16*(i/5)/1. Suppose -z*o = -3*o + 12. Calculate the smallest common multiple of 18 and o.
36
Let w be (-5 + (-125)/(-20))*-1510. Let u = 1934 + w. Let f = -11204/9709 + -2/511. What is the common denominator of f and u?
38
Let i = 11 + -4. Let z = 221 + -231. What is the least common multiple of z/(-155) - 678/(-62) and i?
77
Suppose -2507 + 30