60
Suppose -2*n = 3*n - 30. Suppose 31*g - 3630 = -13*g - 11*g. What is the smallest common multiple of n and g?
66
Let t be (0 - 1)/((-7)/42). Suppose 2*a + 132 = t*a. Let z = -24237 + 24270. Calculate the smallest common multiple of z and a.
33
Let p = -964 + 1764. What is the lowest common multiple of 400 and p?
800
Let k be (-9)/(-4) + 14/(-56). Let t be 3444/(-112) - k/((-8)/3). Let w = 34 + t. Calculate the least common multiple of w and 18.
36
Let s(w) = -w**2 + 23*w - 88. Let k be s(12). What is the common denominator of -5/3 and 1/(-9)*(-996)/k?
33
Let w(p) = 4*p**3 + 3*p**2 - 6. Let c be (4/(-10))/((-4)/20). Calculate the lowest common multiple of w(c) and 20.
380
Let a = -68 - -116. Let g = 48 - a. What is the lowest common multiple of ((-9)/6 + g)*(-8 - -6) and 6?
6
Let u = -524 + 5231/10. Let t = -207/59 + 862273/245735. Let a = t - 24397/4165. Calculate the common denominator of u and a.
70
Let r = 125 + -120. Let v be (-3 + 13/r)*90. Let n = v - -43. What is the lowest common multiple of n and 11?
77
Suppose -4*h + 129 = -3*m, -5*h + 246 = 2*m + 56. Suppose -q = -h - 24. Suppose 0 = -4*g + q + 52. Calculate the smallest common multiple of 6 and g.
84
Let j(r) = 2*r**3 - 28*r**2 + 3*r + 25. Let d be j(14). Suppose 0 = 5*g - d - 38. What is the smallest common multiple of 14 and g?
42
Calculate the smallest common multiple of 40 and 2*((-42)/(-77) - (-135)/(-66)) + 23.
40
Let u(x) = x**2 + 5*x - 7. Let o be u(-7). Suppose -3 = -5*l + o. Suppose t + w = -l*w + 21, -5*w = -5. Calculate the smallest common multiple of 21 and t.
126
Let u = -25 - -41. Let m(q) = q**2 - 112*q - 505. What is the smallest common multiple of u and m(-5)?
80
Suppose -508*l - 7980 = -527*l. Calculate the smallest common multiple of 630 and l.
1260
Let i be ((-39027)/(-44))/((-30)/1090). Let y be (4/(-6))/((-28)/(-1353450)). Let u = y - i. Calculate the common denominator of u and -47/4.
44
Let r = 1474 - 13205/9. Suppose -4*y = -l + 2*l - 16, 4*l = -5*y + 31. Calculate the common denominator of (l/(-36))/(5/(-280)) and r.
9
Let y(w) = 52*w + 660. What is the lowest common multiple of 552 and y(-12)?
1656
Let l = -65936943 - -25153295330891/381475. Let t = 71015385082/10299825 - l. Let i = -6893 + t. Calculate the common denominator of i and 13/27.
27
Let j = 3297163/16987830 + -1/38785. What is the common denominator of j and -58/147?
21462
Let q = 2667065263/2730 - 976947. What is the common denominator of q and -41/2730?
2730
Calculate the least common multiple of 318 and 4/(-102) - 16222/(-102).
318
Suppose -5*i - 5*k - 5 = 0, 3*k = 2*i + 7*k - 4. Let z be -14*(22/i + 5). Suppose -z*f + 35 + 77 = 0. What is the least common multiple of f and 62?
496
Let j(f) be the third derivative of -f**5/30 - 17*f**4/24 + 2*f**3 - 29*f**2 - 3*f. Calculate the lowest common multiple of 1 and j(-9).
3
Suppose 0 = 456*v - 455*v - 1. What is the common denominator of 24/133 and v/((-11)/6) - (-103935)/(-154242)?
798
Let b(d) = d**3 - 5*d**2 - 3*d + 39. What is the smallest common multiple of b(5) and 768?
768
Let n = 2516611/27846192 - -28/25223. Find the common denominator of n and 53/483.
7728
Let n(m) = -m**3 - 5*m**2 + 15*m + 60. Calculate the least common multiple of n(-6) and 1957.
11742
Let n = 19/485096893258 - -25097494348754589171/39603795462476378. Let m = 1/11663 - n. Let w = -1255/2 - m. Calculate the common denominator of -71/12 and w.
84
Let i = -370 - -887. Let l = i - 427. Calculate the least common multiple of l and 70.
630
Let o = -15268/7 - -2870937/1316. What is the common denominator of o and 5/188?
188
Suppose 473*x - 73 = 470*x + 32. Calculate the lowest common multiple of 1435 and x.
1435
What is the common denominator of 139/162 and (2/(-44))/((-221535)/(-77674))?
8910
Suppose -2*r + b = -40, 19*r - 17*r - 4*b - 46 = 0. Suppose -4*m - 3*i + 132 = 0, r*i - 24*i + 132 = 4*m. Calculate the lowest common multiple of 114 and m.
1254
Suppose 650 = 2*j - j + q, -3250 = -5*j + 2*q. Let w = j + -1556. Let g = -6324/7 - w. Calculate the common denominator of g and 67/6.
42
Suppose 23*m + 76 = 27*m. Suppose r + 35 = 5*g, 7*g - r = 4*g + m. What is the smallest common multiple of 10 and g?
40
Let d = 33181 + -291893255/8797. Let h = 123392/1029249 - d. Find the common denominator of h and -44/9.
117
Let f be ((-6)/3)/((6 - 5)/(-187)). Let s = 409 - f. What is the least common multiple of s and 28?
140
Let p(o) = -2*o + 5*o**2 + 5 - 7 + 10*o**2. Let x be p(2). Calculate the common denominator of 73/3 and (-469)/(-14)*3/(x/(-4)).
9
What is the common denominator of (-11183)/(-12660) + (-3)/30 and 73/354?
3540
Let n be (-5400)/7 + 5*(-14 + 13). Let b = 164009/210 + n. Find the common denominator of -71/50 and b.
150
Let w = 52971/11 + -4800. Let d = w + -239/55. Find the common denominator of -29/37 and d.
185
Let s = -888341 + 1060679299/1194. Calculate the common denominator of 37/10 and s.
5970
Let w = 23035/4 - 126659/22. Let r = 8073 - 96847/12. What is the common denominator of r and w?
132
Suppose -24*f - 65872 = -144*f - 59*f. What is the least common multiple of 460 and f?
1840
What is the lowest common multiple of (6 - 9) + 792/1 and 2893?
8679
Suppose 5*w - 17*w = 312. Let p = w + 31. Suppose -p*y - 132 = -16*y. What is the lowest common multiple of 6 and y?
12
Let g = -585 + 593. What is the lowest common multiple of 110 and -2 + 205/2 - 4/g?
1100
Let l(b) = -b**3 + 9*b**2 + 113*b + 11. What is the lowest common multiple of 531 and l(16)?
1593
Suppose 0 = 2*v + 4*g - 40, 0*g + 2*g = 5*v - 160. Let u = 28 - 20. Suppose 48 = u*c - 2*c. What is the lowest common multiple of c and v?
120
Let s = -2 - -8. What is the least common multiple of ((189/(-6))/7)/(3/196*-7) and s?
42
Let r be 2/(-9) - 9688/(-16560). Let v = 3/115 + r. Calculate the common denominator of v and -193/660.
1980
Suppose -4*i - 40 = -7*u + 3*u, 0 = -4*u - 2*i + 52. Let n be (-48)/18*(-138)/4. Suppose 23*a - 322 + n = 0. Calculate the smallest common multiple of a and u.
60
Let u = -16780 + 5686. Let w = u + 133213/12. Let z = 459938/15 + -30658. Calculate the common denominator of w and z.
60
Let p = 1003618/45 + -22301. Find the common denominator of p and (-3)/7 - 1767/(-1575).
225
Let o be ((403/3510)/(34/(-654)))/(-1). Let j = 57/17 - o. Calculate the common denominator of j and -11/70.
630
Calculate the lowest common multiple of (11 - 295)*(-65)/20 and 11.
10153
Suppose -136 = h - 2*z, 4*z - 85 = -4*h - 665. Let f = -131 - h. Calculate the lowest common multiple of 3 and f.
33
Let o = 1569/4 + -14003/36. Find the common denominator of o and -131/774.
774
Suppose 0 = -2*r + 1 - 9. Let t = 133/4 + -61/2. Calculate the common denominator of t and -95*((-1)/17)/(r - -6).
68
Find the common denominator of (-4)/(-2784)*-3*(286056/(-270))/(-29) and 5/522.
2610
Let k be ((-26730)/(-22))/(6/4). Suppose 7*p - k = 4*p + 3*u, u + 1083 = 4*p. Let q = 1065/4 - p. Find the common denominator of q and 21/34.
68
Let b = 1745089/312 - 44575/8. Let s = b + -113/13. Find the common denominator of 37/9 and s.
9
Let v = -10 + 40. Find the common denominator of 12/v + (-281)/(-10) and ((-7)/8)/((-34)/(-44)).
68
Calculate the common denominator of 9 - ((-39207)/(-3920) + -10)/(12/60135) and -79/32.
448
Let p = 201 + -121. What is the least common multiple of (-32)/p - 432/(-5) and 12?
516
Let j = -703 + 1693. Suppose y + 5*y = j. Calculate the least common multiple of y and 165.
165
Calculate the lowest common multiple of 40 and (5112/(-8))/(-1 - (-6 - 138/(-24))).
8520
Let h be ((3 + -1)/(-2))/(1/5). Calculate the common denominator of ((265/20)/1)/h and -11/116.
580
Let d be -2 - (-3 + (5 - 8)). Suppose -d*w - 44 = -4*f, -19*w = 5*f - 20*w - 35. What is the least common multiple of 24 and f?
24
Suppose 2*b = -3*c + 27554, 4*b = 838*c - 840*c + 18380. What is the smallest common multiple of c and 2?
9182
What is the lowest common multiple of ((-8)/2 - 0)*2 - 498/(-6) and 400?
1200
Let f = -71603/32813 + 1/2983. Let g = 106889/12 - 8914. Calculate the common denominator of f and g.
132
What is the common denominator of -44/27 and (-6627)/(-4680) - (-144)/(-468)?
1080
Suppose -9 = 66*n - 69*n. Find the common denominator of (-6700)/560 + (-2)/21*n and 43/72.
72
Suppose 2*a - c = 1256, -1953*c + 195