 19134. Calculate the smallest common multiple of 6126 and j.
67386
Suppose 0 = -5*g + 2*v + 68, g - 41 = -2*v - 37. Calculate the lowest common multiple of g and 10562.
63372
Let v = 3/178 + -1703/712. Let m = 4830 + -19277/4. What is the common denominator of m and v?
8
Let z(u) = -u**2 - 7*u - 3. Let j be z(-6). Suppose -g - j*c = -852, 442 + 410 = g - c. Calculate the common denominator of 109/22 and -3 + -766*(-3)/g.
1562
Let h(x) = -5*x + 23. Let v(i) = -i - 17. Let k be v(-17). Let z be h(k). Let n = z + -15. Calculate the smallest common multiple of 22 and n.
88
Suppose -7 - 27 = 2*h. Let a = 23 - h. Find the common denominator of 71/2 and (5/(-15))/(a/(-732)).
10
Let c(n) = -2*n - 4. Let w = -366 + 385. Suppose 1790 - 156 = w*x. What is the lowest common multiple of c(-6) and x?
344
Suppose 141*g - 108069 = -31408 + 85771. What is the least common multiple of g and 36?
1152
Let o = 16 + 1/2. Calculate the common denominator of -79/590 and o.
590
Let q = 31350487/33292680 + 1/277439. Calculate the common denominator of (-8)/12*219/112 and q.
840
Let b be (8 + (-39771)/4884)*(1 - -2357). Let o = -3702/11 - b. Find the common denominator of o and -57/14.
518
Calculate the common denominator of 0 - ((-2)/6 + 3752/3024) and 284/216 + (0 - 0).
54
Let s(w) = -w**3 - 3*w**2 + 5*w - 2. Let f be s(-3). Let g(c) = 5 + 21 + 2*c + 19. Calculate the least common multiple of 8 and g(f).
88
Suppose -4*x = -8, -5*y = 3*x - 25 - 1. Suppose y*d - 352 + 112 = -5*s, 60 = d + 3*s. What is the least common multiple of 6*(7/2 + 0) and d?
420
Suppose 2*n = 2*u - 3*n - 95, -177 = -3*u - 4*n. What is the smallest common multiple of u and 40?
440
Suppose 107 = -2*i + 117. Suppose -i*n = -11*n + 12. Calculate the lowest common multiple of ((-22)/4)/(4/(-8)) and n.
22
Let j = 36 - 40. What is the least common multiple of 11 and 92 + 1*(4 + j)?
1012
Let q(p) = 8*p**2 - 2*p + 2. Suppose m + 4*b + 10 = 3*m, 14 = 4*m - 5*b. What is the smallest common multiple of 34 and q(m)?
136
Suppose 2*n - 34 = 2*g, 46 = 3*n + 5*g - 7*g. Calculate the least common multiple of 262 and (-452)/(-28) + n/(-84).
2096
Let b(l) = 3*l**2 - 14*l + 4. Let o be b(5). Calculate the common denominator of 89/18 + 3/o*-9 and 55/6 - (0 + -1).
18
Calculate the common denominator of (-12 - 1430/(-121)) + -2 + (-358449)/(-165000) and 57/28.
35000
Suppose -69*r + 72 = 250 + 98. What is the common denominator of r and 214/328 + (-5)/(-20)?
41
Suppose 2*w - x + 37 = 0, -3*w = 2*x + x + 60. Let y = -371 - -398. Let c = w + y. What is the smallest common multiple of c and 10?
40
Let w = 21/170 + 3687/85. Let b(p) = p**3 + 114. Let s be b(0). What is the common denominator of w and 10/(-80)*s/1?
4
Calculate the least common multiple of 18 and (-1*27/(-12))/((-18)/(-384)).
144
Let u = 5611 - 269383/48. Find the common denominator of u and -137/228.
912
Suppose 4*y + 3*g + 2 = -171, 0 = 5*y + 3*g + 217. Let a = -26 - y. What is the lowest common multiple of 6 and a?
18
Let l be 2/3 + (-390)/(-9). Let i = 172851/10 + -17281. Calculate the common denominator of i and (-74)/l + 1/1.
110
Let u(q) = 6*q**2 + 209*q + 15. What is the least common multiple of 300 and u(-35)?
300
Let i = -2845 + 28491/10. What is the common denominator of i and -52/3855?
7710
Let s = 6499/600 + 117/200. Calculate the common denominator of s and 44/1425.
5700
Let i = -2513 + 5123/2. Let h be (-3)/3*(-26 - (-5 + 0)). Calculate the common denominator of i and (-1)/(-4)*(h/(-2) - -1).
8
Suppose -41*z = -38*z + 882. Let s = z - -348. Calculate the least common multiple of 69 and s.
1242
Let o = 2464548745615901/467015216978502 - 6/2349903979. Let u = o + 6/11041. Find the common denominator of -137/12 and u.
36
Let i = 6/1673 - 125499/6692. Let c be -69*(-3 - (-1)/3 - -4). Find the common denominator of 22 - 19 - c/(-10) and i.
20
Let v = 42/109 + 7621/872. Find the common denominator of v and (-8)/(-256)*4 - (-430)/(-464).
232
Let c = -6559/608 + 32139395/2974944. Calculate the common denominator of 22/21 and c.
4893
Let j = 76597/5082 + -314/21. Find the common denominator of -15/242 and j.
242
Suppose -189*r - 183*r = 64*r - 1744. What is the smallest common multiple of 4260 and r?
4260
Suppose 3*k - 3*p + 4 - 1096 = 0, -k = p - 362. Let s = 1359/4 - k. What is the common denominator of s and 2*(-3)/(18/64)?
12
Let c(g) be the first derivative of 3*g**2 - 24*g - 23. Let b be c(9). Find the common denominator of 25/28 and 39/b - -1 - (1 + -4).
140
Suppose -215*x = -26232 + 8521 - 10669. Suppose -5*t + 30 = -0*t. What is the smallest common multiple of t and x?
132
Let b be (-205)/(-30) - -6 - 1/(-6). What is the least common multiple of b/((-52)/(-24)) - 3 and (35 - 20)*4/10?
6
Calculate the common denominator of 1/((-132)/261)*(-1232)/(-39600) and -79/18.
9900
Find the common denominator of 7/96 and 4/(40/14) + (-198)/352.
480
Suppose 3510 = -0*v + 13*v. Suppose -31*m + 4*m = -v. What is the smallest common multiple of m and 16?
80
Let s(u) = 2*u**3 - 23*u**2 - 6*u - 13. Let v be s(12). Let q = 80 - v. Let o = q - 3. What is the lowest common multiple of 4 and o?
36
Suppose 0 = -22*r + 25265 - 8237. What is the least common multiple of r and 602?
5418
Suppose 3*w = 3 + 9. Suppose 7*c = -x + 8*c + 75, 205 = 3*x - 13*c. What is the smallest common multiple of x and w?
308
Suppose -3*l = 9, 2*a - 2*l - 8 - 6 = 0. Suppose -a*t - 6*t = -490. What is the smallest common multiple of 5 and t?
245
Let q = -27606230445/7958 - -3468991. Calculate the common denominator of q and 145/12.
47748
Suppose 0*n - 5*h + 38 = 3*n, 2*n = 2*h + 4. Let b(u) = -7*u + 11 - 5 + n + 4*u**3 + 6*u**2 - 3*u**3. What is the least common multiple of 7 and b(-7)?
84
Let c = -617 - -358. What is the common denominator of ((-10)/420*c)/((-28)/9) and 91/40?
280
Let l = 778 - -4762. Let i be 1 + -1 - (-53)/l*99. Let d = 4/1385 + i. Find the common denominator of -27/20 and d.
20
Find the common denominator of 89/820 and (((-22)/48)/11)/((-19)/((-25137)/1148)).
6560
Let s be (-7 + 217143/31005)/(2/(-5)). Let b = -58493/8268 + s. Find the common denominator of 31/36 and b.
36
Let v(b) = b**2 + 4*b - 9. Let z(x) = -x**2 - 4*x + 8. Let q(o) = -5*v(o) - 6*z(o). Suppose 158*p - 947 = 1. What is the least common multiple of q(-6) and p?
18
Suppose -44 = 5*k - 2*m + 4*m, 2*k + 26 = -5*m. Calculate the least common multiple of 48 and ((-72)/4)/(6/k).
48
Suppose -19*o + 4806 = 95 - 6480. What is the lowest common multiple of o and 310?
5890
What is the common denominator of -43/12 and ((-206)/2916)/(40/30 + -1)?
972
Let h = -309 + 424. Let m = -114 + h. Calculate the least common multiple of m and 55.
55
Let c = -289 + 473. Calculate the least common multiple of -5*(-2 - (-40)/(-25)) and c.
1656
Suppose -2*h + 4364 = 5*t, -5*t + 387*h + 4371 = 390*h. What is the least common multiple of t and 160?
13920
Suppose -5*j + 11 = -x, -x = -4*x + 4*j. Calculate the least common multiple of (x + -9)*(1 - 4) and 120.
120
Let o be (2 - (-54)/(-15)) + 2/(-5). Let g be (15/(-6) - o)*(-48)/2. Calculate the least common multiple of (-16)/(-2)*6/g and 44.
44
Let f(s) be the second derivative of s**3/6 + s**2/2 - 19*s. Suppose -3 = 2*u - u - 4*b, u = -5*b + 6. What is the lowest common multiple of u and f(6)?
7
Let z = -2952986828/273 + 10816818. Let k = z - 400/21. What is the common denominator of 32/37 and k?
481
Let r = 298219/100530 - -2/10053. Calculate the common denominator of -31/261 and r.
2610
Let k be (3 - 2) + -168 + 2. Calculate the common denominator of ((-517)/k)/((-2)/(-4)) and (-3735)/(-54)*4/70.
105
Let q = -291039036 + 668225600873/2296. Let u = -67231/662396 - 7/2308. Let m = u - q. What is the common denominator of -87/10 and m?
40
Let r(q) = -q - 2. Let t(j) = 11*j + 6*j + 5*j + 4*j. What is the least common multiple of r(-5) and t(2)?
156
Suppose -24 = -24*k + 12*k. Calculate the smallest common multiple of 477/(-106) - (-33)/k and 6.
12
Suppose 2*v - 179 = -5*t, v = 6*v + t - 505. Let x(s) = 2*s**2 - s - 42. Let p be x(5). What is the common denominator of ((-71)/15)/(v/(-30) + p) and -23/30?
30
Let l be (6/(-4))/((-9)/240 - 0). Suppose -5*t = -0*t + l. Calculate the lowest common multiple of t/((-16)/6) + 2 and 3.
15
Suppose -2*a = -2*d - 18, -3*a + 5*d + 25 = 6. Let 