-2*x + 108 = -q, -2*q - 207*x = -202*x + 261. Let g = j + q. What is the smallest common multiple of 9 and g?
9
Let y = 3142 + -3137. Let t = 20 + -32. Let n = -6 - t. What is the lowest common multiple of n and y?
30
Calculate the common denominator of 11 - 6 - 2 - (8505/434)/5 and 33/2.
62
Suppose -142*x + 18 = -144*x. What is the least common multiple of 16*9*x/(-324) and 60?
60
Calculate the common denominator of -107/372 and (-5 - 25/9)*36/(-21).
372
Let v be (2/((-8)/(-12)))/1. Suppose 2*f = v*h - 15, 2*h - f = 7*h - 12. Suppose 0 = -h*s + s + 4. What is the least common multiple of s and 2?
2
Let q = 1532 - 101. Let s = 5793/4 - q. Calculate the common denominator of 43/22 and s.
44
Suppose -s + 40 = 105*z - 101*z, z - 5*s = -11. What is the lowest common multiple of 573 and z?
1719
Suppose -30 = -18*w + 20*w. Calculate the common denominator of -89/10 and w/(-20)*(-190)/(-33).
110
Let g(k) = -5*k + 32. Let a be g(6). Suppose -2*p + 3*j = j - 6, p = -a*j + 6. What is the lowest common multiple of p and 90?
180
Let p be -1 + 5 - (-9 + (-194760)/10). Let d = 311723/16 - p. Calculate the common denominator of 39/28 and d.
112
Let x(r) be the second derivative of r**4/12 + 5*r**3/6 + 5*r**2 - 1832*r. Let d be 20/(-8) - (-1)/2. Calculate the least common multiple of 20 and x(d).
20
Suppose 107*p - 125*p = -8802. Calculate the least common multiple of p and 1630.
4890
Let r(j) = -2*j - 20. Let t be r(-11). Suppose 0 = -2*p - 5*w - 12, -t*p - 7 = 3*w + 1. Calculate the common denominator of -105/76 and -1 - (33*(-2)/16 + p).
152
Let n(w) = w**2 + 4*w + 10. Let c be n(-6). Let r be 784/44 + 4/c. Calculate the common denominator of (-9)/r*(-2)/(-6) and 61/22.
66
Suppose 3*d + 5*t - 572 = -0*d, 0 = 3*d + 4*t - 568. Suppose 0 = -g + s + 189 - 183, s + 10 = 2*g. Calculate the least common multiple of g and d.
184
Let q be (-4)/(-4 - -12)*-3*16. Suppose -9*w = -q - 30. Calculate the lowest common multiple of w and 38.
114
Let t = 13564 - 1247913/92. Find the common denominator of t and 68/69.
276
Let s be 4 + 0 + (-4)/2 - 23. Find the common denominator of 91/32 and (-33)/32*(-70)/s.
32
Let u(z) = 3*z**3 + 39*z**2 - 5*z - 32. Let g be u(-13). What is the common denominator of g/77 + 536/(-1218) and 30/11?
957
Let g = -10408 - -10426. Calculate the lowest common multiple of 4302 and g.
4302
Let h(w) = 19*w + 168. Suppose 8*y - 21 = 2*o + 9*y, -1 = -3*o + 5*y. What is the smallest common multiple of h(o) and (-2)/(-5)*(6 + -1)?
16
Let c(h) = -h**3 + 9*h**2 - 11*h + 25. Let y be c(8). Let x = -107 - -122. Find the common denominator of -33/5 and ((y/x)/(-1))/(125/30).
125
Suppose 4180 = 5*u + 5*l - 105570, 87796 = 4*u + 2*l. What is the lowest common multiple of u and 12?
21948
Let w = 1/615 + 2932/87945. Find the common denominator of w and -41/363.
4719
Suppose 83 = -4*a - 45. Calculate the common denominator of (3 + 14)*2/a*-1 and -85/72.
144
Suppose 3*y = -8*y. Suppose y = 2*u - 0*u + 30. Find the common denominator of (3/u)/((-34)/65*-1) and -55/8.
136
Suppose 9*x = x + 5648. What is the common denominator of (x/(-880) - 1) + 2 and 7/10?
440
Suppose -2*f - 3 + 41 = 4*o, 2 = -2*f. Let c = 46709/30 - 1558. What is the common denominator of o/(-8)*(-84)/27 and c?
90
Let n(x) = 31*x - 25. Let b be n(1). Suppose -2*l + 5*a + b = a, 4 = 3*l - a. Calculate the least common multiple of l and 24.
24
Suppose 2*f = n + 145 + 58, 4*f - 412 = 4*n. Let p = f + -98. Suppose 3*r = -2*d + 125, -7*d + 4*d = p*r - 85. Calculate the least common multiple of r and 11.
451
Let z = -438 - -436. What is the lowest common multiple of (-1401)/(-45) + (z/15 - 0) and 8?
248
Let i(x) = -x**2 + 27*x - 24. Let j be i(21). Suppose 2*q + j = -2*k, 2*k + k - 159 = 3*q. Find the common denominator of q/5*4/(-8) and -121/12.
60
Let p = 3660515 - 52872478575/14444. What is the common denominator of p and -127/6?
43332
Suppose -9*k + 156 = -456. Let h = 107 - k. Suppose -h - 11 = -5*c. Calculate the lowest common multiple of 3 and c.
30
Suppose 36*y = -25*y + 57828. What is the least common multiple of y and 28?
6636
Let x = 558/209 - 537831/197923. What is the common denominator of -30/11 and x?
10417
Suppose 825*m - 380 = 830*m. Calculate the least common multiple of 1/(-6)*m + (-40)/24 and 112.
1232
Let m = -76071/728 - -79/91. Let r = m + 105. Calculate the common denominator of r and (-4)/12*3472/(-372).
72
Suppose -11167 = -3*x + j, 198 = -2*x + 3*j + 7659. What is the smallest common multiple of x and 1240?
3720
Calculate the lowest common multiple of (-237)/((-4 - (-165)/40) + 22/(-48)) and 474.
1422
Let c = 427 - 427. Suppose c = 14*n - 14 - 14. Let b(p) = 8*p - 1. What is the least common multiple of n and b(1)?
14
Suppose -45*n = -62*n + 2465. Suppose 3*l + 7*a - 237 = 6*a, -2*l - 5*a + n = 0. What is the least common multiple of 6 and l?
240
Let z be (-3)/5*-30*2/3. What is the least common multiple of 20 and (z/16)/((3/(-80))/(-3))?
60
Let x = 543 - 633. Find the common denominator of 2/(-18) - x/(-96) and 81/112.
1008
Let t = 49 + -47. Suppose 5*r + 5 = 4*f, t*f = -4*r - 0*f - 4. Find the common denominator of -62/5 and r + (-2)/48*-129.
40
Let w = -9508 - -9895. Calculate the lowest common multiple of w and 301.
2709
Let w(y) = 155*y - 302. Calculate the lowest common multiple of w(2) and 2525.
20200
Let p be 15/(-10)*(-10)/3. Suppose 3*j = 3*k - 30, p*j + 3*k + 50 = -0*j. Calculate the least common multiple of (20/5)/((-5)/j) and 26.
104
Let x be (-7706)/6 + (-2)/3. Let z = -2091833 - -25117361/12. Let h = z + x. Find the common denominator of h and 59/20.
60
Let k(o) = -3*o - 15. Let q be k(-10). Let x be 12/(-2) + 108/(-36). Find the common denominator of 79/14 and (-82)/(-80) - x/q.
56
Let o = 1738 + -119908/69. Let y = 30983/9621 + 2/1069. Calculate the common denominator of y and o.
207
Let t(w) = -2 + 6*w**3 - 7*w**3 + 2*w - 4*w - w**3. Let d be t(-1). Suppose -8 = -d*q + q. Calculate the lowest common multiple of q and 20.
40
Suppose -6*k + 28824672 = 110338218. Let d = -271779251/20 - k. Let q = d - -3374. Find the common denominator of q and -1/142.
1420
Let j = -67454020409/47430 + -37691725666/1395. Let m = 28441329 + j. Let k = -14/85 + m. What is the common denominator of -2/27 and k?
54
Let g(v) = -10*v**2 + 24*v + 42 + 25*v + 12*v**2. What is the least common multiple of 40 and g(-24)?
360
Let c be (-46)/116863*(1 + -1 - 1). Let t = -289765/375994 + c. Calculate the common denominator of 126/4 + (-1)/1 and t.
74
Calculate the lowest common multiple of 770 and 13 + 1 - 7/((-42)/(-24)).
770
Let m(x) = 0*x - 1 - 2*x - 3. Let l = -112665 - -112669. What is the least common multiple of m(-9) and l?
28
Suppose 17*n = -0 - 51. Calculate the common denominator of 5/402 and (n/10)/((-42)/1498).
2010
Suppose -152318 = -4*v + 2*s - 0*s, 152322 = 4*v + 2*s. Find the common denominator of (-23366)/v - (-2)/(-17) and 71/144.
1440
Let h(n) = n**3 - 3*n**2 - 6*n - 16. Let v be h(8). Suppose v = -9*i + i. What is the common denominator of -101/48 and 42/i - (0 + 0)/1?
48
Calculate the lowest common multiple of 80 and 1915960/2660 + 2*2/(-14).
720
Let m(p) = -p**2 + 12*p - 15. Let z be m(8). Suppose -z + 37 = 5*i. Suppose 7*w = 113 + 111. What is the smallest common multiple of w and i?
32
Let n = 8/11 + -127/99. Let f be ((-2067)/(-2))/1 - 1*-3. Let r = -1000 + f. Calculate the common denominator of n and r.
18
Let u(o) = 269*o - 756. What is the least common multiple of 11 and u(6)?
858
Let m = 1/152812 - 159789/4737172. Calculate the common denominator of 19/682 and m.
682
Let k be -1 - 16/(-10) - (-269040)/(-2016). Let l = 933/7 + k. Calculate the common denominator of l and 173/60.
60
Suppose -3*c = 3*a - 231, 2*c - 299 = -4*a + 7*c. Let t = a + -73. What is the least common multiple of t and 15?
15
Let b = -426 - 154. Let z be b/44 - 8/(-44). Calculate the common denominator of 63/26 and z/26 + -49 + 1.
26
Suppose -3*u - 4*v = -6, 4*u - 3*v - 14 = 19. Suppose -2*c - 2*s + u*s = -302, 2*s = -10. What is the least common multiple of 10 and c?
1410
Let t = 43 - 43. Suppose 2*k = 2*l - 10, 2*l + t*k = -k + 13. Calculate the least common multiple of 27 and l.
54
Calculate the common denominator of 408/(-1380) + -3 + (-3)/(-1) and 32/299.
1495
Let s = 7900111/9604389