 8*k**2 + 6*k + 5. Calculate the smallest common multiple of m(j) and 3.
93
Suppose 68*h - 66*h + 4*z = 48, -h = -5*z - 24. Calculate the common denominator of 48/5 and (-4)/h - 749/(-1596).
380
Suppose 0 = -86*b + 89*b - 147. Suppose -11*y + 18*y - b = 0. Calculate the lowest common multiple of y and 10.
70
Suppose 5*f = 5*t - 55, 10 + 3 = -2*t - 5*f. Let j(k) = -2*k + 8. Suppose -116 + 32 = 12*v. What is the lowest common multiple of j(v) and t?
66
Let m(j) = 12*j - 60. Let c be m(5). Suppose 4*k - 2*u - 186 - 56 = c, k - 4*u - 64 = 0. Calculate the lowest common multiple of k and 12.
60
Let r = -20/343 - 711/87808. Find the common denominator of r and 1/16.
256
Let m = 350 - 2749/8. Let r = 49745 + -398545/8. Let v = r + 1603/24. Calculate the common denominator of v and m.
24
Let m = -111975 - -14556851/130. Calculate the common denominator of m and -17/117.
1170
Suppose 542*i - 2002 = 529*i. What is the lowest common multiple of i and 42?
462
Let y be 8/28 - (-429652)/(-168). Let w = y - -2550. Find the common denominator of 26 and w.
6
Let k = -448667/210090 - -320/149. Calculate the common denominator of k and 49/188.
2820
Let t(x) = -x**2 - 7*x + 4. Let g be 0/((-6 + 5)*-3). Suppose g*z - z + 4 = -2*l, 8 = 3*z - 2*l. Calculate the lowest common multiple of z and t(-6).
10
Let r = 22616 - 1108138/49. Find the common denominator of (-20)/110 - 1006/154 and r.
49
Let h = 1988003/2230 - 977/223. Let p = h + -888. What is the common denominator of p and 71/35?
70
Let f = -23 + 88. Suppose 5*g + 37 = -r + 3*r, 5*r + f = -5*g. Calculate the common denominator of 95/22 and (165/(-170))/(3/g).
374
Suppose 8*b - 735 = -7*b. Calculate the common denominator of -26/25 and 1/(20/(-89)) - b/(-98).
100
Calculate the common denominator of 3/15 + (-1407)/560 and (-2)/(-9)*2289/(-784) - -1.
336
Calculate the common denominator of -46/365 and (-6 - 118/(-20))*(-37 + 1).
365
Let s = 61923/2072 + -1080/37. What is the common denominator of s and 143/420?
840
Let u(w) = 52*w + 1. What is the smallest common multiple of 2/30 - (-13919)/465 and u(2)?
210
Calculate the common denominator of 9/10 and (86/(-4808))/(6 + 552/(-96)).
6010
Suppose 12*c - 487 = -139. Suppose 34*m - 250 = c*m. Calculate the lowest common multiple of m and 18.
450
Let q = -125553/124475 + 338/383. Find the common denominator of -22/125 and q.
1625
Calculate the smallest common multiple of ((-4)/(-21))/((-104)/(-1092)) and 1598.
1598
Let p = -9571/55 + 174. What is the common denominator of 8/(-148) + (-30588)/(-15540) and p?
385
Suppose -10*o - 564 + 8665 = -499. What is the smallest common multiple of o and 344?
1720
Let j(k) = 10*k - 78. Let l be j(8). What is the lowest common multiple of (-1)/(-2) - (-136)/32*l and 300?
900
Let s = 52/12632603 - 5927381555807/1061138652. Let p = s - -5586. Calculate the common denominator of -91/4 and p.
84
Let t = -600 - -608. Calculate the smallest common multiple of 348 and t.
696
Let o = -59 - -84. Calculate the smallest common multiple of (10/3)/(25/90) and (-48)/40*o/(-2).
60
Suppose -2462 = d + 223. Let k = 10807/4 + d. Find the common denominator of k and ((-96)/(11 - -1) - -1) + 283/32.
32
Suppose -569*a + 574*a - 140 = 5*x, -4*x + 176 = 4*a. Let g = 0 + 56. What is the least common multiple of a and g?
504
Let d = 29336330 + -703974835/24. Let w = d + -4047. Find the common denominator of w and 71/30.
120
Let m be (1 + 34/(-4))/(351/(-177)). Let v = 727/104 - m. Find the common denominator of -56/153 and v.
1224
Let s = -2/32275 + 1678494/3130675. Let l be ((-85386)/(-114169))/(-2 - 20/(-14)). Let j = s + l. Find the common denominator of j and -15/16.
176
Let s(w) = w**2 - 6*w - 6. Let a be s(7). Let m be 285/(-275) - a/(1/(-1)). Let j = m + 301/110. What is the common denominator of j and -43/12?
60
Calculate the common denominator of 71/350 and ((-2)/(-125))/(10108/(-665)).
6650
Find the common denominator of (12/(-40))/((-243)/515) and 131/198.
1782
Suppose 4*s = -3*j - 0*s - 188, 199 = -4*j + 5*s. Suppose -2*o = 4*o - 96. Calculate the lowest common multiple of o and (768/j)/((-2)/21).
144
Let f = 10352 - 155194/15. Let j = -322255/24 - -13426. Calculate the common denominator of f and j.
120
What is the common denominator of (4/(-72))/(8/(-66)) and (-20280)/208*(-2)/200?
120
Let g = -123/28015347668 + 774056078780783/6172257352170756. Let c = 7/7107 - g. Calculate the common denominator of c and 49/6.
1302
Let s = 205503/115066 - 2/8219. What is the common denominator of 0 - ((-279)/(-198) + 1) and s?
154
Find the common denominator of -10/133 and (4/3)/((-693)/432).
1463
Let r be (-3 - 16/(-6))/((-1)/39). Let o(p) = p**3 - 12*p**2 - 15*p + 36. Calculate the lowest common multiple of 11 and o(r).
110
Let b = 30609/20 - 1525. Let v = -53 - -50. What is the common denominator of b and -1*(-31)/(-48) + 2/v?
80
Let v be 26145/285175 + (-1)/11. Let o = -160951/279990 + v. Calculate the common denominator of -18/7 and o.
378
Suppose -13*o + 142 + 40 = 0. Suppose -17*q + o*q + 180 = 0. Calculate the smallest common multiple of 4 and q.
60
Let s = -3 + 8. Suppose -3*q - q - 4*p + 20 = 0, s = q + 2*p. What is the lowest common multiple of 20 and 1/(-5) - ((-46)/q + -3)?
60
Suppose -34*m - 108 = -52*m. Calculate the least common multiple of m and 231.
462
Let p = -974267/520 + 18741/10. Find the common denominator of -119/130 and p.
520
Let z = 1036 + -756. Suppose -v - m = -56, -9*v - z = -14*v - 2*m. Calculate the lowest common multiple of v and 72.
504
Let x = -249 + 509/2. Calculate the common denominator of x and -18/367.
734
Let m = -2757 + 6059/2. Let c = m + -287. What is the common denominator of c and -35/16?
16
Suppose -810 = -5*p - o + 435, -2*p + 4*o = -498. Suppose 4*a - 4*k = 636, 3*a - p - 231 = 2*k. What is the smallest common multiple of 6 and a?
162
Let l(y) be the second derivative of y**3/6 + 19*y**2/2 - 8*y. Let b be l(19). Let g = b + 6. Calculate the least common multiple of g and 18.
396
Let f(i) = -i**3 + 48*i**2 - 121*i + 44. Let v = 27 + -21. Calculate the smallest common multiple of v and f(45).
2022
Let l = -13148/15 + 2943637/3360. What is the common denominator of l and -119/72?
2016
Let k = 1513/324 + 20/81. Calculate the common denominator of -1*(-394)/(-144) + 2 + 0 and k.
72
What is the least common multiple of 476*(-4 - (-90)/20) and 204?
1428
Let v(z) = z**3 + 4*z**2 + z + 6. Let b be v(-6). Let a = -363/4 - -89. What is the common denominator of (-8)/12 - (-67)/b and a?
72
Let a = 1543/675 - 52/27. Calculate the common denominator of a and 23/60.
300
Let k = 3346 - 3332. What is the lowest common multiple of k and 318?
2226
Let g(f) = 2*f - 4*f - 365*f**3 - f**2 + 18 - 22 + f. Let i be g(-2). Let p = -34949/12 + i. What is the common denominator of p and 113/10?
60
Let f = -785851533/239132320 + 1836/83965. Let l = f - -132/89. Find the common denominator of l and 41/10.
160
Let n be ((-8)/6)/((-4)/18). Let l(s) = 643*s + 300. Let k be l(15). What is the common denominator of -119/18 and (1 - n/10) + k/(-5550)?
666
Let i(w) = -w**3 + 35*w**2 - 65*w - 15. Let x be 924/(-70)*(-5)/2. Suppose -5*z = 15 - 115. Calculate the smallest common multiple of i(x) and z.
180
Let r = -404 - -1988/5. What is the common denominator of ((-3)/2*1/2)/((-1198716)/(-16736)) and r?
955
Let i(n) = -n**2 - 142*n - 2527. Let d = 1 - -6. What is the smallest common multiple of i(-21) and d?
14
Suppose -747 + 2463 = 33*j. What is the smallest common multiple of 26 and j?
52
Calculate the common denominator of 1*19 - 813775/43430 and -2 + ((-4)/(-1) - 1).
202
Let t(b) = -b - 42. Let i be t(16). Let s = 75 + i. Suppose 37 = -3*p + 5*p + o, p - o - s = 0. Calculate the least common multiple of p and 4.
36
Let w be 4581/4455 + 1*4. Let o = w - -333/110. Find the common denominator of o and -115/14.
126
Suppose z - 6 = -0*z. Let i(b) = -b**3 - 41*b**2 + 135*b + 246. What is the least common multiple of i(-44) and z?
114
Suppose -5*l + 628 = 588. Calculate the least common multiple of l and 190.
760
Let f = -1/124 + -6189/1364. Let y = 339/77 + f. Calculate the common denominator of y and -1*3/(-34)*(-1743)/63.
238
Let v = 19 - 12. Suppose 6*x - v*x = 18. Calculate the smallest common multiple of 88/(-33)*x/4 and 22.
132
Let b = 13