 Calculate the smallest common multiple of (-24)/(-56) - (-22)/n and g.
2
Suppose 5*l = l + 404. Suppose l = -6*t - 889. Find the common denominator of -149/12 and 2050/(-20)*3/t.
132
Let k(w) = 5*w. Let q(c) = -67*c + 1007. Calculate the least common multiple of k(3) and q(15).
30
Let b = 614 - 201. Let f = b - 365. Calculate the least common multiple of f and 104.
624
Suppose -3*h - 112 = 3*w - 682, 3*w - 580 = -h. What is the smallest common multiple of 715 and w?
2145
Calculate the common denominator of 53/75 and 100/144*(6 + 184/(-36)).
2025
Let k be (-4)/(-22) + 5/(110/62). Calculate the lowest common multiple of (30/1)/(63/14 - k) and 16.
80
Let i(g) = -810*g - 55. Let d be i(5). Let a = 73975/18 + d. What is the common denominator of a and 4/(-14) + 117/(-42)?
126
Suppose 17*q - 20*q - m - 1390 = 0, -5*q = m + 2314. Suppose 5*h = h + 2*x - 180, 0 = 2*h + 2*x + 90. What is the common denominator of 91/6 and 12/(-16)*q/h?
30
Let o(w) = w**3 + 9*w**2 - 13*w - 126. What is the smallest common multiple of o(-4) and 2763?
5526
Let k = 16 - 62/7. Calculate the common denominator of k and 4/(-14)*7/(-36).
126
Let p(d) = -10*d + 34. Let u = -256 + 260. Calculate the least common multiple of p(3) and u.
4
Let i be ((-32)/20)/(1/(-5)). Suppose i*s - 1939 = -339. Calculate the lowest common multiple of s and 200.
200
Let o = 57 - 16. Let x(r) = 2*r - 26. What is the smallest common multiple of 248/18 + 4/18 and x(o)?
56
Let a(x) = -x**3 + 77*x**2 - 159*x + 775. What is the lowest common multiple of 20 and a(75)?
100
Let k = -8269/9 + 927. Let d = -1969 - -13814/7. Calculate the common denominator of k and d.
63
Suppose 0 = 3*c - 2*v + 4 - 0, -c - 2*v + 12 = 0. Let b(l) = -l**3 + 8*l**2 + 12*l - 6. Calculate the lowest common multiple of b(-4) and c.
138
Let c be 3 - (2 + -2 - 132). Let x = c + -51. Calculate the least common multiple of x and 3.
84
Let z = 5370 + -5341. Suppose -2*d + k + 42 = 3*k, 3*d - 4*k = 91. Suppose 60 = -d*t + z*t. Calculate the smallest common multiple of 30 and t.
30
Suppose 20*p = 34*p. Suppose -4*c - 20 = p, 13 = -2*d - 9*c + 4*c. What is the smallest common multiple of d and 28?
84
Let c be 0 + -6*(-4 + 3). Suppose -2*z + 4*f - 8 = 0, 3*f - 27 = 5*z - 7*z. Suppose -c = -2*b + z. What is the lowest common multiple of 18 and b?
18
Let r be 9/(-21) + 3478/14. Find the common denominator of 67/4 and 1190/r + ((-6)/2 - 2).
124
Suppose -4*l + 8*l - 32 = 0. Let p be (-12)/l*-2*8/(-12). Calculate the least common multiple of 470/30 + p/(-6) and 4.
16
Let r = 86/305 + -21717/6710. What is the common denominator of r and 23/5203?
10406
Let c(p) = 31*p + 284. Let m be 8/52 + (-119)/13. Suppose 5 = 5*s - 25. What is the least common multiple of c(m) and s?
30
What is the common denominator of (-34237)/(-109200) + 16/(-52) and -59/250?
6000
Suppose -26 + 112 = 43*m. Let u = -421 + 901. What is the lowest common multiple of m and (-8)/(-44) - u/(-22)?
22
Let j = 6999 - 489943/70. Find the common denominator of 19/1470 and j.
1470
Suppose -2*t = -6*t - 5*k - 131455, -2*k = 4*t + 131470. Find the common denominator of 47/28 and t/3192 - (-2)/(-7).
84
What is the common denominator of -25/48 and ((-354)/(-107262))/(((-96)/98 - -1)/1)?
4848
Let l(g) = g + 9. Let y be l(-5). Suppose -79*v + 78*v - y*d = 0, -3*d = 15. Calculate the smallest common multiple of v and 60.
60
Let p = 403 - 397. What is the lowest common multiple of (-4)/2 + (p - (7 - 8)) and 120?
120
Let b be (96/8)/2 - 21. What is the common denominator of 1/b*(426/24 + -5) and -187/30?
60
Suppose -109*w - 6002 + 138481 = 4622. Calculate the smallest common multiple of 357 and w.
8211
Let n = 5/7933 - -2189353/245923. Let k = n + -6147/868. Calculate the common denominator of k and -67/8.
56
Let v = 315 - 281. Suppose -3510 = -v*z - 654. Calculate the smallest common multiple of z and 36.
252
Let x(b) = 78*b**3 + b + 2. Let q be x(2). Let f = q + -490. What is the least common multiple of f and 12?
276
Suppose 70*q + 33*q - 11484 = 16*q. Suppose 108 = 4*l - 3*l. What is the lowest common multiple of q and l?
1188
Let x(r) = -r**2 - 14*r - 10. Let q be (10/6)/((-244)/120 + 2). Let s = -26 - q. What is the smallest common multiple of x(-10) and s?
120
Let a(r) = -24*r + 1216. Calculate the least common multiple of a(46) and 28.
112
Calculate the smallest common multiple of 36 and (-1 - (-7)/(49/2576)) + -3 + 0.
3276
Suppose 0 = -216*c + 20607 + 3801. Calculate the lowest common multiple of c and 13.
1469
Let z be ((-162)/(-12))/((-2)/(160/(-15))). Find the common denominator of ((20/z)/5)/((-8)/(-202)) and -21/16.
144
Let v = -20 - -25. Suppose -10 = 3*j + v*g - 72, 4*j = -4*g + 88. Let o = 411 - 391. What is the least common multiple of o and j?
120
Let o = -1/34834 + 461573/783765. Calculate the common denominator of o and -68/171.
1710
Let v(q) = -q**2 - 11*q + 50. Let f be v(-14). Suppose -3*z - f*l = -3*l - 88, 0 = -4*z - 2*l + 94. Calculate the common denominator of z and 65/242.
242
Suppose -128*i = -4*k - 132*i + 8, 0 = -k + i + 8. Calculate the lowest common multiple of 8060 and k.
8060
Let o be 2 + (70/(-3))/(2/(-6)). Suppose -5*z + o = 13*z. Let h(g) = 3*g + 8. What is the least common multiple of z and h(0)?
8
Suppose 3*l = -5*d - 13, -313*l + 310*l = 4*d + 11. Suppose -p = -3*p. What is the common denominator of -65/18 and (-33)/d + p + 4?
18
Let o(g) = -69*g + 6. Let j be o(5). What is the common denominator of (-476)/24*(-480)/(-420) and j/(-18) - 1/(-2)?
3
Let j = 1/109 + -4711/2616. Calculate the common denominator of 51/22 and j.
264
Suppose -16 = r - 24. Let h(i) = -2*i + 19. Let x be h(r). What is the common denominator of 35/12 and 43*(-1)/x*(-8)/88?
132
Suppose -15*q + 11*q - 3912 = 0. Let x = -2415 - q. Let h = x - -20143/14. Find the common denominator of 7/4 and h.
28
Let m = 1/457518 + -725814181/228759. Let z = -3162 - m. Let j = 4/375 - -7738/1125. Calculate the common denominator of z and j.
18
Let x = -157978966/45479 + -298/6497. Let g = x + 437797/126. Find the common denominator of g and 59/30.
630
Suppose -2*f = 5*n - 3 - 4, -4 = -f - 2*n. Let p be (10/(-8))/((-2)/24). Suppose -1 - p = -8*m. What is the least common multiple of f and m?
6
Let b(g) = g**3 + 5*g**2 + 2*g - 4. Let z be b(-3). Let u(m) = 20*m - 138. What is the smallest common multiple of 100 and u(z)?
1100
Let w = 46606 + -26845033/576. What is the common denominator of -91/48 and w?
576
Let s = 12827 + -256449/20. Find the common denominator of s and -17/5738.
57380
Let h(k) = k**3 + k**2 + 3*k + 2. Let r be h(0). Suppose 200 = q + b, 0 = -2*q + r*b + 188 + 216. What is the smallest common multiple of 15 and q?
1005
Let q = -47 - -56. Suppose -6*m + q*m = 6. Suppose -5*f = -20, 3*k - f - 2 = m*k. What is the least common multiple of k and 122?
366
Let l = -84448/99 + 853. Find the common denominator of (3245/(-270) - -12)/((44/448)/(-11)) and l.
297
Let a = 363129 - 106759717/294. Let c = a + -151667/220794. Let g = c - -66515/13518. Find the common denominator of 133/170 and g.
1530
Let d(g) = g**3 + 12*g**2 + 9. Let m be 47*(4 + -3 + 0). Suppose 5*x = -m - 13. What is the least common multiple of 6 and d(x)?
18
Let h = 1/15 + -16/105. Let n = h + -61/105. Let g = 103242/17 + -6071. What is the common denominator of n and g?
51
Let i(a) = a**3 + 6*a**2 + a - 13. Calculate the lowest common multiple of i(-5) and 41.
287
Let k = 11 - 8. Calculate the least common multiple of k and 215/(-43) - 376/(-8).
42
Suppose -5*h + 4*v = 1840, 0 = 5*h + 3*v - 2*v + 1865. Let z = -1497/4 - h. What is the common denominator of z and 76/3?
12
Let x be (((-18)/12)/(-3))/((-2)/(-88)). Calculate the common denominator of x/121 + (-889)/352 and -71/36.
288
What is the common denominator of (351/(-99) + -11)*(-2)/(-12) and 97/4488?
4488
Let i be (-1790)/(-40) - 15/20. Suppose -129*t + i = -125*t. Calculate the smallest common multiple of t and 15.
165
Let a = -8811911/83030 + 36329/345. Let c = -2/361 + a. Let i = -312731/29432 - -2/3679. Find the common denominator of i and c.
24
Let c(d) = 28 + 49 - 19 + 32 + 5*d. Suppose -k + 3*k - 24 = 0. What is the lowest common multiple of c(-16) and k?
60
Suppose 243*i + 12 = 247*i. Let w(n) = -n**3 + 6*n**2 + 1. What is the least common multiple of 64 