 c = -714 - -717. Suppose 0 = 3*w + 4*g - 78, c*w - 4*g - 64 = -10. Calculate the lowest common multiple of w and 14.
154
Find the common denominator of -95/8 and 602/188 - ((-1 - -2) + 3).
376
Let n(f) = -f**2 - 6*f - 2. Let k be n(-7). Let v(b) = b**3 - 27*b**2 - 93*b**2 + 129*b**2 - 3*b - 24. Calculate the smallest common multiple of v(k) and 33.
33
Suppose -2*a - 5*t + 272 = 2*a, 5*t = -a + 53. Let h = 208462/11 - 19022. Let c = a + h. Calculate the common denominator of c and 16/5.
55
Let i(g) = 5*g**2 + 0*g**3 - 11*g + g**3 - 7 + 3*g. Calculate the smallest common multiple of (-4*3/(-6))/((-169)/(-1014)) and i(-5).
132
Let l = -16/265 + -118/10335. Calculate the common denominator of -19/93 and l.
6045
Let m be (3 + -4)*-1 - 29. Let w be 1 - 4 - 5/(20/m). Calculate the least common multiple of (-6)/w*(-8)/3 and 5.
20
Let y be 3604/119 + (12/(-14))/3. Suppose 427 = y*a - 293. What is the smallest common multiple of a and 24?
24
Calculate the smallest common multiple of (-13)/((-182)/2870) + 17 and 111.
222
Let j = 139 - 37. Let m(f) = -9*f**2 - 29*f + 164. What is the smallest common multiple of m(-6) and j?
714
Let l(t) be the second derivative of 2*t**3/3 - 7*t**2 - 16*t. Let p be l(0). Calculate the common denominator of (p/12 + 1)/((-4)/(-354)) and -35/32.
32
Let l = -1/4907 + -58180/14721. Calculate the common denominator of l and 22/3297.
3297
Find the common denominator of -56/27 and (32120/(-1716) + 19)/((27/(-2))/(-3)).
351
Let q = 750 + -732. Calculate the least common multiple of q and 816.
2448
Let y be (-3 - 0)/(4 + (-222)/60). Calculate the common denominator of 23/4 and (-4 + (-624)/(-148))*y/5.
148
Suppose 2012*v - 2015*v - 960 = 0. Find the common denominator of -97/102 and (-2 - 1) + v/300.
510
Suppose 20*w - 17*w - 113 = 2*m, -5*m - 125 = -3*w. What is the lowest common multiple of 1530 and w?
10710
Suppose m - 58 = -14. Let r be 198/5 - 6/(-15). Suppose 3*t - r = -2*f + 58, 170 = 5*t + 2*f. What is the smallest common multiple of m and t?
396
Suppose r + 10*c = 12*c + 34, 4*r - 81 = -3*c. What is the lowest common multiple of r and 138?
552
Let q(n) = n**3 - n**2 - n + 53. Let u(i) = -7*i**2 + 9*i + 218. Let m be u(-13). Let l = 1091 + m. Calculate the lowest common multiple of q(0) and l.
477
Let r be 3 + (-34636)/(-582) + -1. Let m = -2005140682/32597529 + r. Let g = -18259181/4704798 - m. Calculate the common denominator of g and -58/33.
462
Calculate the lowest common multiple of 1/(-5) + (-243060)/200*6/(-9) and 390.
10530
What is the least common multiple of (189/35 - 3)/((-18)/(-30)) and 313?
1252
Let o = 6517/30 + -1017/5. Calculate the common denominator of 2 + ((-256)/12 - -3) and o.
6
Suppose -13*i + 2*c + 30 = -9*i, 0 = 5*c - 25. Calculate the least common multiple of 540 and i.
540
Suppose -4*h + 168 = -2*c, 29*c + 60 = 2*h + 24*c. What is the smallest common multiple of 1825 and h?
16425
Let i(g) = g**3 - 8*g**2 + 92*g - 216. Calculate the smallest common multiple of i(9) and 396.
2772
Suppose 0*t = t + 3. What is the least common multiple of (-248)/186 + (-10)/t and 2?
2
Suppose 8*f - 872 = -w + 4*f, w - 2*f = 848. Calculate the least common multiple of w and 642.
2568
Let d = -25760569/195 + 132106. What is the common denominator of (0 - -1)/(78*(-10)/1180) and d?
195
Let d = 7328247/275 + -26648. What is the common denominator of -41/450 and d?
4950
What is the least common multiple of (37/296 - 380/(-32)) + 148 and 2960?
5920
Let x = -2/663137 + 3430407709/2652548. Let o = x + -1272. What is the common denominator of 2*1/(8/7) and o?
4
Suppose -7*s = -92 + 36. Suppose 0 = -6*n - s*n + 112. What is the least common multiple of n and 80?
80
Let y = 1 + 2. Calculate the common denominator of (790/36)/(25/15) and (y - (-103)/(-28))*2.
42
Let l = 46/5 - 893/90. Let f = -137/9 - l. Let w = 7583/37 - 205. What is the common denominator of f and w?
74
Let t = -1179 - -1203. What is the lowest common multiple of t and 471?
3768
Let v = 364 + 113. Let j = 495 - v. What is the least common multiple of 45*(4/(-3))/(-2) and j?
90
Let h = -13004 - -22844. Suppose 4*j + h = -0*o + 4*o, -3*j - 4*o = 7359. Let c = 26973/11 + j. Find the common denominator of c and 31/11.
11
Let g = -5940/17 - -461705/1326. Find the common denominator of g and (-39)/338 + 5/(-15).
78
Suppose -5*o + 1 = -39. Let s = 2 + o. What is the least common multiple of s and (-22946)/(-8344)*(-72)/(-22)?
90
Let t = -171491 - -27438649/160. What is the common denominator of -157/420 and t?
3360
Suppose 2 = 5*i + 12. Calculate the least common multiple of i/8 - (-130)/8 and (-30)/10 + 4 - -27.
112
Let r = 17 - 15. Suppose 1 - r = q. Calculate the least common multiple of (q + (-3 - (-52)/8))*2 and 121.
605
Let i(n) = n**3 - 7*n**2 + 8*n + 2. Let v(o) = 2*o**2 + 5*o. Let b be v(-4). Suppose b*r - 112 = 5*r. Calculate the least common multiple of r and i(7).
464
Suppose 0 = -14*p - 33 - 23. Let u be p - ((-5)/(-75))/(2/(-3)). Let r = -12 - u. What is the common denominator of 33 and r?
10
Let k = -8775/4703 - -31553821/1707189. Let x = k + 6/121. Calculate the common denominator of ((-2)/32)/(2/404) and x.
24
Suppose 1312 = 71*t + 11*t. Suppose -4*j + 140 = -244. What is the smallest common multiple of j and t?
96
Suppose 50*m - 1232 = 968. Calculate the least common multiple of 56 and m.
616
Let g = 8377 + -8371. Suppose -302 = -3*r - 2*u + 507, 5 = 5*u. What is the least common multiple of r and g?
1614
Let k = 248453/3 + -18887057/228. Let q = k - -1/19. Find the common denominator of q and -47.
4
Let g(t) = 5*t + 3. Let i = 176 + -122. Suppose 0 + i = 2*m. Calculate the least common multiple of m and g(3).
54
Let v = -811 + 2629. What is the common denominator of 2/15*57/4 and 5/(240/v)*8/(-6)?
10
What is the least common multiple of 117/12 + -2 + 27/12 and (140 + 0)/(-8 + 10)?
70
Suppose 31*r - 106 = -25 + 43. Suppose -4*f - 3*i = -8*i - 129, 0 = -f - i + 21. What is the least common multiple of f and r?
52
Let m(i) = 877*i**2 + 193*i + 196. What is the lowest common multiple of 176 and m(-1)?
880
Suppose 13*p = -7*p + 1820. What is the common denominator of -61/87 and (-16)/(-12)*p/26?
87
Let p = 48 - 49. Calculate the common denominator of 13/10 and (212/(-20))/p*2/16.
40
Let f(i) = i**2 + i - 8. Let q be f(0). Let l(x) be the first derivative of x**3/3 + 5*x**2/2 - 22*x + 30. Calculate the smallest common multiple of 3 and l(q).
6
Let x = -352 + 365. Suppose -x*c = -7*c - 60. Calculate the smallest common multiple of c and 11.
110
Let z be (-7)/(-3396)*18317/(-91). Let n be (-6738)/30564 + 4/18. Let j = n - z. Find the common denominator of 15/4 and j.
12
Let p(g) = g. Let q be p(-2). Let h = 2053/15 - 611/5. Calculate the common denominator of (59/2)/(3/q) and h.
3
Let x = -718 - -1402. Suppose 8*s = -11*s + x. What is the least common multiple of 36 and s?
36
Let s(v) = -2*v**2 + 2*v + 4. Let w be s(-4). Let l = -42 - w. Calculate the smallest common multiple of (9/2)/(l/(-12)) and 4.
36
Let w be (-1144)/42 - (-2)/(-7). Let r = w + 185/7. Let u = 471908/243441 - -20/22131. Find the common denominator of u and r.
231
Let u = 9 - 9. Suppose 4*n - 2*t = -3*t + 22, 2*n + 2*t - 8 = u. Suppose 54*y - 52*y - 10 = 0. Calculate the least common multiple of y and n.
30
Let m = 70 - 156. Let y = m + 134. What is the least common multiple of y and 54?
432
Suppose 1740 = 130*x - 112660. Calculate the least common multiple of 176 and x.
880
Let s(x) = 8*x + 50. Let i be s(-6). Suppose -i*p + 28 = -14*j + 16*j, -4*p + 4*j + 40 = 0. Calculate the lowest common multiple of 12 and p.
12
Let g = 8891/4 + -2231. Let i = -3/1214 + 23757/33992. Find the common denominator of g and i.
56
Let h(r) = -2*r**2 + r + 2. Let d be h(2). Suppose 4*o = -7 + 3, -3*o - 3387 = -3*v. Calculate the common denominator of -139/18 and 2/d + 1 + v/(-168).
126
Let l = -443442 + 259857087/586. Find the common denominator of l and 71/44.
12892
Suppose 15043 = 16*a - 10877. Calculate the common denominator of -93/80 and ((-84)/a)/((-4)/78).
720
Let q = 193776/13 + -269735243/18096. What is the common denominator of -59/336 and q?
9744
Let c = -93/509 + -5524/83985. Find the common denominator of c and 94/165.
165
Let b = 536731/210 + -12788/5. What is the common denominator of 31