2 + 2005301/52. What is the common denominator of q and -44/65?
260
Let j be 2990/45 + 48/(-108). Suppose 0 = 999*s - 1002*s + j. Let d = 12 - -16. What is the least common multiple of d and s?
308
Suppose -22*j = 14860 - 79210. What is the smallest common multiple of 6 and j?
5850
What is the common denominator of -3/4 and 1/((-5)/35 - (-6705)/(-252))?
428
Suppose 0 = 10*v - 6*v + 4*r + 5208, -v = -3*r + 1306. Let a = -7873/6 - v. Find the common denominator of a and -71/6.
6
Calculate the least common multiple of (113046/13 - (-16 - -14)) + (-4)/(-26) and 10.
43490
Let d(r) = -r**2 + 16 + 15*r + 2 - 34 - 28. Let c be (-4)/5*(-30)/4. Calculate the lowest common multiple of 7 and d(c).
70
Let q(g) = 1382*g + 20. Let w be q(9). Let h = -149399/12 + w. Find the common denominator of (-4)/(-2) - -111*(-4)/144 and h.
12
Let f = -14558 - -14593. Calculate the least common multiple of 28 and f.
140
Let f be (1 - -1 - 4)*(-21)/6. Let q be (-64 - 3) + 0/f. Let s = 74 + q. Calculate the lowest common multiple of s and 11.
77
Let i(x) = x**3 - 5*x**2 - 31*x + 27. Let b = -169 + 178. Calculate the smallest common multiple of i(b) and 40.
360
Let k be (30/8 - 5)/(3/156). Find the common denominator of (-4 + -1)/(5/(k/(-8))) and -41/126.
504
Let d = -12060 - -18339. Let l = d + -376693/60. What is the common denominator of 73/22 and l?
660
Suppose 0 = 5*n - 3*f - 2, -n + 6*n = 5*f. Find the common denominator of ((-1338)/360 + 4)*n and 37/76.
1140
Let l be (412/10162)/(5/(-65)). Let g = l - 2075348999/213402. Let q = -9725 - g. Find the common denominator of q and -15/2.
42
Let c(k) = k**3 - 22*k**2 - 115*k - 2. Calculate the lowest common multiple of c(-4) and 222.
1554
Let n = 292 + -290. Suppose 12 = n*j - j. Calculate the least common multiple of j and 4.
12
Calculate the least common multiple of 259/2*624/1092 and 1.
74
Let u = 2616 + -2597. Calculate the smallest common multiple of 267 and u.
5073
Suppose 4*j = -0*j + 72. Let c be ((-2)/(-3610))/(1*(-108)/(-302505)). Let y = c + 51/2888. Calculate the common denominator of j and y.
72
Let p = -395 - -391. Calculate the smallest common multiple of ((-10)/p)/((-5)/(-20) - -1) and 3.
6
What is the smallest common multiple of (245 + -3)*(103 - 99) and 605?
4840
Let b = -887441/156 - -5689. Find the common denominator of -1 - 9/(-12) - 29/96 and b.
1248
Let w(f) = -3*f**3 + 2*f**2 - 2*f + 1. Let h be w(1). Let d be 2 - (h/(-48))/((-12)/850192). Let s = -2946 + d. Find the common denominator of -85/16 and s.
144
Calculate the smallest common multiple of (238/(-28))/((-2)/4) + -9 and 0*1/2 - -14.
56
Let v(b) = b**3 + 71*b**2 - 67*b + 460. Calculate the least common multiple of v(-72) and 100.
100
Let j = 18271 - 17095. Calculate the smallest common multiple of j and 588.
1176
Let i = -24 + 57. Suppose -667*w + 43299 = -8727. Calculate the smallest common multiple of i and w.
858
Let f(n) = -2*n**3 + 3*n**2 - n + 4*n**3 - 4 - 3*n**3 - 9*n**2. Let m be f(-13). What is the common denominator of -83/20 and (-4)/6 - m/(-528)?
220
Let a = -31241 + 125049/4. Calculate the common denominator of a and 66/2737.
10948
Let u(b) = b**3 + 9*b**2 + 7*b - 6. Let t be u(-8). Let j be (-90272)/42*(1 + t). Let p = 51509/8 + j. Find the common denominator of p and -83/8.
8
Let w(s) = s**2 - s + 1. Let p be w(0). Let j = 20901 - 20868. What is the least common multiple of p/(-2)*-4 + 22 and j?
264
Suppose 349 = 153*i + 43. Calculate the lowest common multiple of 198 and i.
198
Let c = -30 - -28. Let r = -8690279 + 521403313/60. Let a = 1156/5 + r. What is the common denominator of a and c?
12
Let r = -4385/12 + 53981/148. Calculate the common denominator of r and (51/102)/(4/(-26)).
444
Suppose v = -2*t + 1085, 2158 = -10*t + 14*t - 2*v. Let y = 563 - t. What is the lowest common multiple of 30 and y?
330
Suppose 4*t + 3*i = 87, 7*i - 26 = -t + 2*i. Suppose -3*c = 5*h - 28, -5*h = c + 5 - 21. Calculate the least common multiple of h and t.
42
Let z = 93 + -23. Let f = z - 60. Calculate the least common multiple of 23 and f.
230
Calculate the common denominator of ((-1)/(-4))/((-2)/77) and 9/((-81)/(-6))*(-567)/224.
16
Let p be (-250)/60 + (-1)/(-6). What is the least common multiple of 18 and (-4 - -17) + (-8 - p)?
18
Suppose -156*o = -161*o + 1515. What is the common denominator of 93/10 and (-14)/(-28) + o/42?
70
Let l = -210/241 - 18509/3374. Suppose 35*t = 31*t + 684. Calculate the common denominator of 646/396 - 38/t and l.
154
Let v = 32 - 26. Suppose 4*i - 5*b = -17, -2*b = i - v*i - 17. Calculate the common denominator of (0 - i/48)/(4/(-248)) and -81/14.
56
Let d = -9952637/210 + 47393. Calculate the common denominator of d and 99/70.
210
Suppose 3*u + 107 = -3*m + u, -u - 37 = m. Let f = m - -36. Let i(p) = 2*p**3 + 26*p**2 + 6. What is the least common multiple of i(-13) and f?
6
Let i(h) = h - 63. Let z be i(0). Suppose 37*c = 42*c + 2*x - 1950, c - 417 = 5*x. Calculate the common denominator of (2 - -2) + c/z and -28/37.
333
Suppose -3*w = -4*w + 23. What is the common denominator of 37/9 and (w/92)/((-51)/(-242))?
306
Let z(d) be the third derivative of d**5/60 - 5*d**4/24 - d**3 + 2*d**2 + 36. What is the smallest common multiple of 4 and z(8)?
36
Let r = 17138 + -479963/28. Calculate the common denominator of 43/520 and r.
3640
Let u be (-4)/14 + (-358606)/14. Let w = u - -922259/36. Calculate the common denominator of w and 79/44.
396
Let k(d) = d**3 + 6*d**2 - 14*d + 15. Let m be k(-8). What is the common denominator of (-8)/(2304/(-471)) + m and 83/120?
480
Let d = -40991/3 + 4387138/321. Let t = 1/749 - d. Let z = 3872 - 23315/6. What is the common denominator of z and t?
42
Let u be -5*1 + 2 + 6 + 5288. Suppose 44*j = 43*j - u. Let s = j + 95275/18. Find the common denominator of s and 151/6.
18
Calculate the common denominator of 131/48 and (13 + (-1514)/132 + -2)*(-10)/4.
528
Suppose -31 - 71 = -2*k. Let d = -57 + k. Let j(l) = l**2 + 5*l - 5. What is the least common multiple of j(d) and 2?
2
Find the common denominator of -5/22 and 6 - ((-14)/(-105) + 2113*(-138)/(-49620)).
54582
Suppose 0 = -82*g + 76*g - 120. Calculate the common denominator of 22/3 and (-1005)/g*4/6.
6
Let z(b) = 2*b**2 - 109*b - 162. Calculate the smallest common multiple of 546 and z(56).
546
Suppose -112 = -2*d - 13 + 181. Calculate the smallest common multiple of 136 and d.
4760
Let c = -2323/160 + 153/10. What is the common denominator of 137/384 and c?
384
Let j = -15063/10 - -1502. Calculate the common denominator of j and 0 - 12/(-30) - (-43)/(-45).
90
Let h = -59921/4 - -15005. Calculate the common denominator of h and 83/2012.
2012
Let b = -263 + 375. Suppose 943*g = 937*g - 264. Find the common denominator of 52/11 and b/(-374) - 8/g.
187
Suppose -47 = -86*n + 78*n + 201. Suppose -4*b = -40 - 80. Calculate the smallest common multiple of n and b.
930
Let b(r) = -12*r + 160. Let f be b(8). Suppose -2*m + 4*g + 32 = 5*g, g - f = -4*m. Calculate the least common multiple of (-1)/((-2)/(0 - -12)) and m.
48
Suppose 2*j = -5*n + 1362, -5*j = -5*n - 1694 - 1676. Suppose 2*l - g = 436, 11*g = -3*l + 7*g + j. What is the lowest common multiple of l and 14?
1540
Let t = -717 - -715. Calculate the common denominator of -7 + (-51)/(-7) + t and (2/(-4))/((-15)/216).
35
Suppose 0 = -3*a - y + 235, 0 = 4*a + 4*y - 270 - 38. Suppose o = 3*x + 43, -10 = -5*x + o - a. Calculate the common denominator of -33/8 and (-1)/x*(18 + -52).
104
Let v be -2 + 3 + -9013*1149/126. Let n = v + 82193. What is the common denominator of -71/54 and n?
378
Let s(z) = 2*z**2 + 8*z + 54. Let q(w) = -w**2 - 11*w - 4. What is the least common multiple of s(-12) and q(-9)?
1722
Let q = 1525/4 - 19737/52. Calculate the common denominator of q and 30/553.
7189
Let k = 827 + -777. Let m(t) = t**3 - 3*t**2 - 2*t. Calculate the lowest common multiple of m(5) and k.
200
Let z = 469 - 341. What is the least common multiple of 16 and z?
128
Let v = 26684 + -26323. What is the smallest common multiple of 3 and v?
1083
Let i = 720915/34 + -21206. Let y = i - -785/459. Calculate the common denominator of y and -3/14.
378
Suppose 5*t + 5*h = 3*t - 15, 0 = -t + 4*h + 25. Suppose 51*d - 18*d = -76*d + 872. What is the least common multiple of t and d?
40
Suppose 43*f + 21