5*k - 827 = -3*p. Let f = -134 + p. Calculate the common denominator of (-124)/f + 12/8 and 23/14.
1050
Let p = -2898 + 11529/4. Let b = -18023/8 + 2264. What is the common denominator of b and p?
8
Let j be -4 + (-7)/14*4. Calculate the common denominator of 5/6 and (2/j)/((-722)/2261) - 0.
114
Suppose f + 1 = 3*m, -f = -3*m - 2*m + 5. Suppose -12 = f*s - 27. What is the least common multiple of s and 42?
42
Let x = 1749356/17621 + -6676/67. Let r = x + -11009/9468. What is the common denominator of 1 + 219/72 + 1 and r?
72
Suppose h = 4*v + 93, 5*v = -0*h - 5*h + 440. Let m = h - 80. What is the lowest common multiple of (-16)/(-10) - (-6)/15 and m?
18
Let k = 642 - 634. What is the least common multiple of k and (-4)/8*(-2 + -118)?
120
Let m = 0 - -13. Let a = m - -31. Suppose -9*b = -8*b + a. Calculate the common denominator of b and -51/2.
2
Let h = 15778 - 15336. What is the smallest common multiple of h and 455?
15470
Let c(q) = 512*q - 4572. Calculate the smallest common multiple of 28 and c(22).
6692
Let q(h) = -1. Let i(f) = -135*f + 60*f - 6 + 54*f. Let d(n) = i(n) + 2*q(n). Calculate the smallest common multiple of d(-2) and 10.
170
Let g = 35 - 37. Let p be 24802*(-3)/(-12)*g. Let y = p + 272869/22. What is the common denominator of -151/12 and y?
132
Suppose -4*p + 193 = i, 5*p - 310 = 2*i - 72. Let o = p - 30. Let x(w) = 6191*w - 6173. Calculate the lowest common multiple of x(1) and o.
18
Let l(h) = 53*h - 592. What is the smallest common multiple of 128 and l(16)?
256
Suppose 3*b + 0 + 9 = 0. Let v = b + 15. Suppose 20 - v = u. Calculate the lowest common multiple of 10 and u.
40
Let i(x) = x**3 - 5*x**2 - 13*x + 14. Let a be i(7). Let g = a + -18. What is the least common multiple of (44/g)/(2/3) and 34?
374
Let u = 24 + 26. Suppose -5*t = -3*n + 214 + 81, 6*n - 2*t - 598 = 0. What is the least common multiple of u and n?
100
Calculate the common denominator of (15/(-33))/((-378)/(-70) - 7) and -103/1122.
4488
Let g be (-4)/8*3*68/(-3). Suppose -g*j = -35*j + 7. Suppose -j*k = -14 - 7. What is the least common multiple of k and 8?
24
Let t(w) = -3*w**2 - 23*w - 12. Suppose -2*l = n - 6, 0 = 5*n + 5*l - 3 - 32. Suppose -2*a + n = -4. Calculate the smallest common multiple of a and t(-6).
18
Let x(v) = -49*v + 1057. Calculate the lowest common multiple of x(17) and 264.
7392
Suppose -10*c - w - 172 = -13*c, -5*w - 62 = -c. Suppose i - c - 43 = 0. What is the least common multiple of i and 160?
800
Let w = 48229 + -48223. Suppose t = -h - h + 16, 5*h = -3*t + 38. What is the least common multiple of w and h?
30
Suppose -4466*u + 4364*u = -334152. Calculate the lowest common multiple of u and 308.
36036
Let p = -8448625/66 + 128007. What is the common denominator of 91/372 and p?
4092
Let i = -835 + 36739/44. Find the common denominator of i and 2 + 131*(-3)/48.
176
Calculate the common denominator of 58/265 and (-24)/(-3) + 6512/(-800) + -2.
2650
Let m be (-3)/((-6)/10) - -1. Suppose -158 = 3*t - m*t - l, -4*l = -2*t + 82. Calculate the lowest common multiple of t and 30.
510
Let l = 373124741/672 + -555245. Find the common denominator of -169/1680 and l.
3360
Suppose 21*k - 289234 + 30234 = -53*k. Calculate the least common multiple of 2 and k.
3500
Let r = -318863/30 - -10629. What is the common denominator of r and -31/3530?
10590
Let d = -2954612479/2277 - -1297590. What is the common denominator of d and -67/1518?
4554
Let i = -887 + 913. What is the lowest common multiple of 18 and i?
234
Suppose -10*r + 3*r + 691 = -436. What is the smallest common multiple of 299 and r?
2093
Let k = -3492 - -7367. Let o = 155019/40 - k. What is the common denominator of o and 19/36?
360
Let q = -165 - -160. Find the common denominator of 984/(-80)*q/(-36) and 1/(-6)*(-91)/4.
24
Let a = -131939 + 767225283/5815. Let w = a - -377983/23260. Calculate the common denominator of w and (-527)/(-22661) + (-21453)/(-3870).
60
Let k = 54967967 + -3078012767/56. Let c = 3453 - k. Let p = -2451 + 7288/3. Find the common denominator of p and c.
168
Let i = 19205/2616 + -178/109. Calculate the common denominator of i and -81/40.
120
Let b = 15 - 21. What is the least common multiple of 0 - -29 - (-9)/(-1) and (-9)/b - (-26)/4?
40
Calculate the least common multiple of 1080 and ((4 - 42) + 2)/(21/(-14)).
1080
Suppose 4*j - f = -2*f + 308, 5*j + 3*f = 385. Let u = j - 37. Find the common denominator of ((-2)/u)/(12/1095) and -43/42.
336
Suppose -2*u = 3*k - 2495, 7*k - 4*u - 2507 = 4*k. Suppose 49*d - k = -245. Calculate the least common multiple of d and 258.
516
Let v = -14605792441367/6400 + 2282155061. Let j = v + -81/256. Let x = 3829/550 + j. What is the common denominator of -143/18 and x?
198
What is the smallest common multiple of 154 and 2/(-32) + 1219757/1232?
6930
Let r(i) = -i**3 - 8*i**2 + 15*i - 15. Calculate the least common multiple of r(-11) and 6.
366
Suppose -111*z + 109*z + 178 = -20. Let r = 42 + -15. Calculate the least common multiple of z and r.
297
Let u(p) = -9 + 125*p - 14*p**2 - 117*p + 15*p**2. Calculate the least common multiple of u(4) and 15.
195
Let u = -656368 - -41089293169/62601. Let l = u - -2650093/1001616. Calculate the common denominator of l and 35/24.
48
Let m be -1 + (-104)/14 - (-3)/7. Let j = -95 + 145. What is the lowest common multiple of -2 + (-20)/m - 6/(-4) and j?
50
Let k be (-12)/8 - -1 - (-5969007)/(-546). Let z = -151404/13 - k. Let d = 712 + z. Calculate the common denominator of 15/11 and d.
77
Suppose -4*c + 5*c = n + 5, -2*n + 4 = 5*c. Suppose 24 = c*s - 6. Calculate the smallest common multiple of 2 and s.
30
Let h = -171625/24 + 7150. Let n = -12929/5200 - 106/325. Find the common denominator of h and n.
48
Let y(v) = -5*v**3 + 71*v**2 - 25*v + 33. What is the lowest common multiple of y(11) and 7?
1694
Let q = 12435 - 10165. What is the smallest common multiple of q and 65?
29510
Let z(m) = -m**2 + 10*m + 12. Let x be z(11). Calculate the smallest common multiple of x/((10 + -4)/18) and 14.
42
Suppose -6*y + 10*y + 5*r = -8708, y - 3*r + 2177 = 0. Let p = y - -106684/49. Find the common denominator of -23/21 and p.
147
Let p = 49193/18 - 2728. Let b = 4289330 + -386069579/90. Let u = b + 332. What is the common denominator of p and u?
90
Let l = 733/120 + -251/15. Find the common denominator of l and -27/641.
5128
What is the common denominator of 118/(-48)*(10 + 116/(-12)) and -57/4?
72
Let x = -23366629/24 - -981537. Let z = x - 7924. What is the common denominator of z and -39/16?
48
Let z = 6247448/5 - 4971425/4. Let v = z + -6635. Find the common denominator of 75/302 and v.
3020
Suppose 4*f - 12 = -f + h, -9 = 2*f - 5*h. Find the common denominator of (-23)/(-45) + (-1)/f*1 and 119/54.
270
Let j = -1/15293 + -45158/11026253. Find the common denominator of -25/21 and j.
2163
Let v(n) = -9*n + 3. Let k be v(-3). Suppose 64 = g + 42. Calculate the lowest common multiple of g and (-1)/(-4 - k/(-8)).
44
Let l be (1/2)/(29/58). Calculate the least common multiple of 49 and l - ((-119)/(-28))/((-4)/32).
245
Suppose 275*k = 318*k - 26144. What is the lowest common multiple of k and 56?
4256
Suppose 14*c + 5*k = 12*c + 140, 280 = 4*c + 2*k. What is the lowest common multiple of 80 and c?
560
Let n(z) = 67*z + 6. Let d be n(-2). Let o = 131 + d. Suppose 3*q + o*x - 9 = 5*x, -4*q + 12 = -3*x. What is the least common multiple of q and 15?
15
Suppose a + 5*a = -180. Calculate the common denominator of 1/7*(-5)/(-15) and 1 + -4 + 31/a.
210
Suppose -574 = -328*a + 329*a. Let x = a - -596. Calculate the smallest common multiple of 22 and x.
22
Let n be (1/1)/((-2)/(-28)). Suppose -40 = q - n. Let s = -316/9 + 35. Calculate the common denominator of s and q.
9
Let x = -6 - -18. Let g(f) = -15*f + 54. Let i be g(3). Suppose i*u - 12 = 3*u. Calculate the lowest common multiple of u and x.
12
Let y = -48 + 60. Find the common denominator of (2/(-90))/(y/2130) and 49/20.
180
Let k be -9 + 1 + 717/89. Let x = k + 6457/712. Find the common denominator of -145/12 and x.
24
Suppose 2*p + d = 4266, -5*p - 5*d + 4895 = -5755. Calculate the smallest common multiple of 27 and p.
19224
Let b = -88 + 123. Let a = -278 - -333. Calculate the smallest common multiple of a and b.
385
Suppose 126*s - 49*s - 33094 = 