 -2*a = -4*c - 5*a + 519. What is the smallest common multiple of 48 and c*(2/5 + 8/30)?
528
Let s = -15574 - -16363. What is the smallest common multiple of 1 and s?
789
Let a = 62 - 56. Suppose -10 = -a*c + 8. What is the lowest common multiple of c and 7?
21
Let y = 1899 - 3322. Let v be (-148421)/(-312)*((-3)/(-9))/(2/(-18)). Let h = y - v. Calculate the common denominator of -53/10 and h.
40
Suppose 2452 = -59*z + 87*z - 1132. What is the lowest common multiple of z and 960?
1920
Let o = 53 - 50. Let k be -1 + -5 + 6/3. Let q(v) = -16*v - 34. What is the least common multiple of q(k) and o?
30
Let a(v) be the second derivative of -7*v**3/6 + 9*v**2 + 28*v + 1. Let z = 24 - 8. What is the least common multiple of z and a(0)?
144
Suppose 0 = 3*m + 2*q - 55, -3*m + q = -7*m + 80. Find the common denominator of 27/10 and m/(-56) - 328/480.
120
Let c = -3533 + 88363/25. Calculate the common denominator of c and ((-11)/6)/(2/4).
75
Suppose v - 11 = 4*m, 4*m = -0*v + 5*v - 23. What is the common denominator of (m - -3) + 36/26 and ((-30)/9)/(-5)*((-2888)/128 + 10)?
104
Suppose -245 = -3*d + 574. Suppose -2*l = -3*g + d, 0 = -5*g + 4*l - 2*l + 459. Find the common denominator of -133/12 and ((-16)/(-24))/(14/g).
84
Let v(j) = 6*j**2 + 106*j - 2666. Suppose -2*b + 2 = -0*b. Calculate the smallest common multiple of v(-32) and b.
86
Let a = -11736 - -187701/16. Let j = -23651 + 59817. Let d = j + -2097697/58. Find the common denominator of d and a.
464
Let v(j) = j**3 - 22*j**2 - 47*j - 12. Suppose 3*u - 3*z = 75, 0 = -3*u - 5*z + 13 + 78. What is the least common multiple of u and v(24)?
108
Let l(t) = -t**3 + 24*t**2 + 71*t - 10. Calculate the least common multiple of l(-5) and 108.
1080
Suppose -20994*i + 5780 = -20989*i. What is the smallest common multiple of 36 and i?
10404
Let t = -4719/320 - -795/64. Calculate the common denominator of -7/188 and t.
1880
Suppose -p + w = 5*w + 20, -3*p - 2*w - 10 = 0. Suppose -3*l + 2*l - 16 = p. What is the common denominator of l and 39/5?
5
Let u = -144331/76 + 1899. Find the common denominator of (-11)/(-33)*-129*17/(-2261) and u.
532
Let k = 31730/47141 - -33913195473/3771280. Let t = k + -8993. Calculate the common denominator of t and -79/8.
80
Calculate the smallest common multiple of 20 and (-9895)/(-35) + 10 + ((-45)/(-21))/(-3).
1460
Suppose -114*u + 139 = -111*u - 2*q, -3*u - 3*q + 144 = 0. What is the lowest common multiple of u and 5?
235
Let v = -96023/206010 - -12/3815. Let g = -17/6 - -215/54. Find the common denominator of v and g.
54
Let q = -1311/11 - -12483/110. What is the common denominator of -67/392 and q?
1960
What is the common denominator of (-21)/(-3) + 3*(-3641)/2046 and 57/8?
248
Let c = 32 - 30. Let j be (-442)/(-119) - (-2)/7. Calculate the smallest common multiple of c and (-68)/(-8) + 6/j.
10
Let a = 7278 + -7058. What is the least common multiple of a and 132?
660
Suppose -1584 = -21*v - 12*v. Suppose -2*a + 54 = 3*j, -2*j + 18 = 4*a - 18. What is the smallest common multiple of j and v?
144
Suppose 14324*p = 14305*p + 9310. What is the smallest common multiple of p and 45?
4410
Suppose -4*p - 3*d = -16 - 13, 2*p = -5*d + 25. Let h = 4045/4 - 1036. Let o = -3/4 + h. What is the common denominator of o and p?
2
Let t(h) = h**2 + h - 65. Let i be t(-9). What is the least common multiple of (-1564)/(-161) + 2/i and 288?
1440
Suppose -d + 3*d - 44 = -w, -24 = -w + 2*d. Suppose -g = 5*a - 164, 13*g - 143 = 12*g + 2*a. Let f = -141 + g. What is the smallest common multiple of w and f?
136
Suppose 3*a = -4*b + 291, 2*a + 11 - 80 = -b. Calculate the smallest common multiple of b and 60.
300
What is the common denominator of 4256/564 + (-3 - (-25)/(-5)) and -39/517?
1551
Let p = -34 - -37. Suppose -4*t + 17 = -4*b - 5*t, -b - 14 = -p*t. Let j(h) = h**3 + 7*h**2 + 4*h. Calculate the smallest common multiple of 24 and j(b).
120
Let p(h) = -6*h**2 - 11*h + 2. Let w be p(-2). Suppose 55*s - 330 = -w*s. Calculate the least common multiple of s and -2 - (-4 + 2 - 122).
366
Suppose 2*b = 4*k - 4758, 1185 = -34*k + 35*k - 5*b. What is the lowest common multiple of 8 and k?
4760
Let u = -62351/16170 + 120/539. Let z be -3 + (-4)/(-30) + 395866/180. Let r = z + -2190. What is the common denominator of u and r?
90
Suppose -15*f - 4852 = -15007. Let z = f + -669. What is the least common multiple of z and 23?
184
What is the smallest common multiple of 1/(-1)*180/(-2) and ((-26)/(-4) + (-7 - -5))*6?
270
Let h = 3677437/56694210 + -23/43949. Find the common denominator of 49/90 and h.
3870
Let i(r) = -r**2 + 2*r + 5. Suppose 8*y + 5 = 29. Let d be i(y). Calculate the common denominator of 4123/186 + (-1)/d and 2/11.
33
Let r(u) = -u + 8. Let t be r(4). Suppose -t*w + 269 = -g, -g = -2*g - 3*w - 304. Let q = g + 2653/9. Find the common denominator of q and 35/9.
9
Let u = 30129 - 421717/14. Calculate the common denominator of u and 37/276.
1932
Let v = 1028 - -3837. Calculate the common denominator of v/336*2/(-5) and 41/39.
312
Let h = -270750 + 175446043/648. What is the common denominator of h and 17/594?
7128
Let t(s) = -28*s**2 + 5*s + 9. Let x be t(3). Let y = x + 261. Calculate the lowest common multiple of y and 27.
297
Suppose 4*j = -5 + 13. Let c be (-6 - -9) + (-48)/j. Calculate the common denominator of 55/3 and (-1 - 12/(-11))/(c/497).
33
Let x = 19141/63 - 2716/9. Find the common denominator of x and 4/(-7)*(-201)/(-48).
84
Suppose 44*n = 7389 - 2725. Calculate the least common multiple of 1378 and n.
1378
Let u = 121328 + -606608/5. Let r = -705 + 13409/19. What is the common denominator of r and u?
95
Suppose 4*w + 3*j - 3226 - 64043 = 0, -2*w - 4*j = -33632. Calculate the smallest common multiple of w and 18.
50454
Let c be 150/(-124) + 13/26. Let l = c - 949/279. What is the common denominator of 2 - 70/(-46) - 2 and l?
207
Calculate the common denominator of 50/561 and 2/(-15)*6816/(-2720)*(-10)/(-48).
11220
Let l = 6484/5 - 1286. Find the common denominator of l and 75/1642.
8210
Suppose -91*q - 34705 = -290*q + 23403. What is the least common multiple of 22 and q?
3212
Let x = -57364/5 + 917903/80. What is the common denominator of x and 127/560?
560
Let n = 11 + -9. Let b be (45 + -1)*1 + 0 + n. Suppose -5*c - t + b = -4*t, -2*c = 3*t - 31. Calculate the smallest common multiple of c and 19.
209
Let b(h) = -60*h - 5649. Calculate the least common multiple of b(-95) and 4.
204
Suppose 2*h = -95*x + 98*x - 1165, -4*x + 5*h = -1558. Calculate the smallest common multiple of x and 19.
7353
Let j = -6715907/96 + 69958. Let b = -380/7 + 12701/231. Calculate the common denominator of b and j.
1056
Suppose -12 = -4*f, -7*w = -6*w - 2*f - 30. Calculate the lowest common multiple of 4 and w.
36
Suppose -3*a - 47*b - 23237 = -43*b, -4*a = -4*b + 30992. Let w = a - -247861/32. Let m = 231793/36 - 6438. What is the common denominator of m and w?
288
Let j(c) = 2*c**3 + 30*c**2 - 38*c - 54. What is the least common multiple of j(-16) and 210?
210
Suppose -26*n + 24*n = -1820. Let r = -135 - n. Calculate the common denominator of 43/12 and (r/88)/(11/2).
132
Let x(q) = q**3 + 3*q**2 - 3*q + 1. Suppose -9*g = 11*g - 80. Suppose -4*t + 3*i = -75, -i + 66 = 5*t - g. What is the lowest common multiple of t and x(2)?
15
Suppose 183*l = 14043 - 8092 + 18388. What is the least common multiple of l and 55?
7315
Let b = -1625864/35 - -46438. Let m = -15599/910 - b. Find the common denominator of m and -53/16.
208
Suppose -6*u + 2*u = -48. Let f(b) = -9*b + 19. Let o(a) = -a**3 - 4*a**2 - 5*a - 1. Let q be o(-1). What is the lowest common multiple of f(q) and u?
60
Suppose -156 + 21 = -5*d. Let z = -12316/15 + 822. Calculate the common denominator of 1/((-5)/(60/d)) and z.
45
Let l = -819/37 + 115119/5291. Calculate the common denominator of ((-1 + 151/12)/(429/(-3432)))/(-52) and l.
858
Suppose 3*a = -119 + 149. Let c be (-55)/10*(2 + -2 + a). What is the common denominator of 56/33 and ((-30)/117)/(20/c)?
858
Let u be 0 + 0 + 1 + 0. Calculate the common denominator of 61/366*210/16 and 3 + u - 2625/610.
976
Let m(r) = -141*r - 1263. Let y = 15 + -2. Suppose 2*a - 3 = y. Calculate the smallest common multiple of a and m(-9).
24
Calculate the lowest common multiple of 3331 and ((-20)/3)/(((-2