5 and h.
450
Suppose -68 - 72 = -14*h. What is the common denominator of -17/50 and (-683)/(-60) - (-2)/h?
300
Let f be 1*(-6)/12*(-11 - -1). Suppose 8*v - 6*v + 4 = 4*j, 0 = -f*j - 2*v + 14. Calculate the least common multiple of j and 4.
4
Let w = 1245599 + -1405035767/1128. Calculate the common denominator of w and -61/72.
3384
Suppose 409 = 4*h - 3*o, 5*h - h - 397 = -o. Calculate the common denominator of 2/(20/(-121)) - 0 and -34 + 37 + h/(-22).
110
Suppose -4*x = 4*f - 388, 0 = 2*f - 2*x - 3*x - 173. Suppose 12 = q + 66. Let d = f + q. Calculate the lowest common multiple of 20 and d.
40
Find the common denominator of 2 + 10503/(-1638) + 8 + -4 and -60/77.
2002
Let t = 135 + -138. Calculate the lowest common multiple of 101 + (0 - t) + -1 and 9.
927
Let r be 3/(6/(-22)) + -2. Let m = 22 + r. Let g = -1780 - -1803. Calculate the lowest common multiple of m and g.
207
Let q = 1787/814 + 147/74. Find the common denominator of ((-51)/(-6) + -9)*(-6)/17*14 and q.
187
Let g = -225199/9825 - -573/25. Let f = g + 8957/5240. Let n = 36207/10 - 3611. Find the common denominator of f and n.
120
Calculate the common denominator of (17046/630 - 27)/((-252)/(-85)) and -26/3.
882
Let w(j) = 11*j - 15. Let n be w(7). Suppose -123 - n = -5*x. Calculate the lowest common multiple of 7 and x.
259
Let q be (-6)/21 - 60159/4578. Let s = q + -8/109. What is the common denominator of s and (3 - 35/15) + (-17)/(-7)?
42
Suppose -29*q + 361530 = -45*q + 211*q. Calculate the lowest common multiple of 108 and q.
11124
Calculate the common denominator of 14/(-70) + 278/540 and -73/684.
2052
Suppose 11*u + 7*u = 4212. Let t = u - 231. What is the least common multiple of 45 and t?
45
Suppose w - 2*b = 64, -2*w - 435*b + 110 = -433*b. What is the least common multiple of 450 and w?
13050
Let x(n) = -n**3 - 4*n**2 + 4*n - 8. Suppose 4*d - d - 9 = 3*b, 4*d = -12. Let o = -83 - -85. What is the lowest common multiple of x(b) and o?
40
Let b be -13 - -15 - (-1 - 7). Let v = 444 + -400. Calculate the smallest common multiple of b/(-8)*(-18 + 2) and v.
220
Let b(k) = k**2 - 9*k + 17. Let f be b(0). Suppose f*x + 24 = 23*x. What is the least common multiple of x and 1?
4
Let i = -64898/199395 + -2/4431. Calculate the common denominator of -29/270 and i.
270
Suppose -40*r - 88*r = 60*r - 19552. Let u(g) = -g**3 + 3*g + 2. What is the smallest common multiple of u(-3) and r?
520
Suppose -13*x = -15*x + 6. Let u be (3 + (0 - x))/(-2) - 6. Let y = 16 + u. Calculate the least common multiple of y and 23.
230
Let t = -1/1630970 + 2185663/266174304. Find the common denominator of t and -105/1088.
16320
Let f = 14618401/1763628 - 2933/354. Calculate the common denominator of f and -37/10.
49820
Let y(m) = 3*m**2 + m - 1. Let r be y(-2). Suppose 3 + r = 2*f. Suppose -8*z + 43 = 4*t - 3*z, -4*z + 12 = 0. What is the smallest common multiple of f and t?
42
Let g = 935 - 2858/3. What is the common denominator of (7/(-2))/(5/(-2)) and g?
15
Let f = -64684 - -453580/7. Let w = f - 6805/56. Calculate the common denominator of (2618/(-136) + (-3)/4)/(-1) and w.
8
Let b be 4/5 + 22428/90. Suppose 0 = -2*q - 2*m + b, -m - 238 = 2*q - 4*q. Calculate the smallest common multiple of q and 3.
363
Let n = 610 + 274. Let t = n - 842. What is the smallest common multiple of t and 30?
210
Suppose -2*n + 24*u + 237 = 19*u, -4*n + 459 = -5*u. Calculate the smallest common multiple of 942 and n.
34854
Let d = -288 + 286. What is the common denominator of (-825)/(-198) + -2 + d and 2/(-1) + 190/(-12)?
6
Let h be (-6524)/(-180) + (-2)/15. Let d = h - 36. Find the common denominator of -23/12 and d.
36
Let t(z) = -50*z + 71. Let v be t(8). Let g = 340 + v. What is the lowest common multiple of 10 and g?
110
Let y(c) = 131*c - 614. What is the least common multiple of y(6) and 215?
860
Let h = 9405 - 159876/17. Find the common denominator of -4 and h.
17
Let s be (-24)/423*(-31000)/15. Let k = 63199/180 + -4671/20. Let d = k - s. Calculate the common denominator of d and 119/6.
282
What is the smallest common multiple of 4/(-10) + 12117/105 + 18 and 8?
1064
Suppose 18 = -4*b + 186. Suppose -7063*c - 264 = -7071*c. What is the least common multiple of c and b?
462
What is the common denominator of -1/186 and (44/40)/(3 + 10860/(-24))?
26970
Let v(y) = 0 + 19*y**2 + 14*y**2 - 40*y**2 + 5*y**2 + 15 + 24*y. Let c(x) = 13*x + 1. Let m be c(1). Calculate the common denominator of -47/4 and v(m).
4
Let j = 649/168 + -22363/6048. Find the common denominator of -151/1824 and j.
16416
Suppose 0 = 4*s - 5*r - 16, 3*r + 41 = 5*s + 8. Calculate the least common multiple of s and (0 - -1 - 4)*301/(-21).
387
Suppose -5*h = 12*f - 1908, 2*f - 1585 = -4*h - 89. Calculate the lowest common multiple of 372 and h.
372
Calculate the lowest common multiple of 7 and (-116)/((-5)/2*(-36)/(-585)).
5278
What is the common denominator of (11/(-513))/((-1764)/(-1029)) and 44/27?
6156
Suppose l = 5*h - l - 13, -1 = -l. Suppose h*g - 3 = -9. Calculate the common denominator of ((-5)/15 - (-358)/(-132)) + g and -27/16.
176
Let g = 1061735/57558 + -982/53. Calculate the common denominator of 73/6 and g.
1086
Suppose 11*i - 16*i + 685 = -2*a, -2*i - a = -265. What is the lowest common multiple of 50 and i?
1350
Suppose -1179 = -6*p - 579. Suppose 101 = 3*o - 4*j - 221, -2*j = -2*o + 216. What is the smallest common multiple of p and o?
1100
Let u = -135 + 149. Suppose 13*i - 5*y = 12*i - u, -4*i + 28 = y. What is the smallest common multiple of 4 and i?
12
Suppose 40 = 5*v - v. Let y = 3200947/108 - 29639. What is the common denominator of ((-3)/v)/(4/330) and y?
108
Suppose 3*m + n - 329 = 0, -4*n = 3*m - 390 + 46. What is the lowest common multiple of m and 72?
216
Let f(k) be the second derivative of 0 + 1/4*k**4 + 0*k**2 + 3*k + 1/2*k**3. What is the lowest common multiple of 32 and f(2)?
288
Suppose -162*u + 123*u = -1560. What is the lowest common multiple of 25 and u?
200
Let m = -7 - -7. Suppose -5*c + 2*a + 313 = m, -c - 4*c + 320 = 5*a. Calculate the lowest common multiple of (c/12 - -3)/((-3)/(-8)) and 18.
198
Let h = 289766783/738 + -392638. Find the common denominator of -61/1722 and h.
5166
Suppose 18 = d - 0*d. Let m(b) = -b**2 - 11*b - 347. Let k be m(0). Let f = k - -351. Calculate the least common multiple of f and d.
36
Suppose 4*b = 3*s - 83, -2*s + 69 = 2*s + 3*b. What is the lowest common multiple of s and 100/(-150) + 1*8139/45 + (-3)/15?
1260
Let b(w) = -2591*w + 31182. Calculate the smallest common multiple of (-536)/(-6) - (-4)/6 and b(12).
90
Suppose -89 - 14 = -3*o + 4*t, -5*t - 38 = -o. Suppose 0 = 2*v - 3*k - 15, 5*v - 2*k - 1685 + 1620 = 0. What is the smallest common multiple of o and v?
165
Suppose -9*d + 9 = -y - 13*d, -3*y = 5*d - 8. Let j = 301 - 136. Let r = -40 + j. What is the smallest common multiple of r and y?
1375
Let i = -819 + 705. Let p = -66 - i. Calculate the smallest common multiple of p and 88.
528
Suppose -f - 1 = 0, f - 16 - 8 = -5*j. Suppose -2*y + 24 = -0*y. Let k = -8 + y. Calculate the smallest common multiple of k and j.
20
Let r be 3512952/2160 + (-2)/5. Let m = r - 1629. Find the common denominator of m and (-1 - 36)/(0 + 18).
90
Suppose -66*z = -102*z + 4392. Calculate the smallest common multiple of z and 427.
854
Let s(l) be the third derivative of 37*l**5/60 + 3*l**4/8 - 7*l**3/6 + 2*l**2 + 142*l. Calculate the lowest common multiple of s(2) and 30.
1590
Let w = -2/5657 + 96221/147082. Calculate the common denominator of w and -19/130.
130
Let j = 178 + -177. What is the common denominator of j*-4 - (-8 + (-546)/12) and 69/22?
22
Suppose -2*p + 40 + 191 = -v, 3*p - 344 = 2*v. What is the lowest common multiple of p and 4130?
4130
Let c(v) = 6*v**3 - 1 - 14*v**3 + 0 + 4*v**3. Let x be c(-1). Suppose -x*d + 0*d - 4 = -i, 5*i = 2*d + 20. Calculate the least common multiple of i and 8.
8
Let j(r) = 2*r**2 + 31*r + 65. Let s be j(-13). Suppose s*z - 2 = -2*z - 3*x, 0 = x. What is the lowest common multiple of 9 and z?
9
Suppose -5*m + 7*m + 4*c = -10, -5*m - 4*c - 1 = 0. Suppose 3*p + 37 = 2*d, -p + 10 = -m*d + 55. What is the smallest common multiple of 16 and d?
112
Let k = -92 - 76. What is the common denominator of (-74)/k*5 + (-48 - -46) and 131/18?
252
Suppose 4*a + 2*r 