minator of 43/648 and (-8)/(-28) - 505/(-756).
648
Suppose 2*y = 3*x + 3*y - 34, -4*y = -x + 33. Let v be 575/69 + 1 + (-7)/3. Suppose -v = z - x. What is the smallest common multiple of 15 and z?
30
Let b = -2267/9 + 1547/6. Calculate the common denominator of b and -87/8.
72
Find the common denominator of (3374/(-224) + 18)/(-505) and 83/2828.
56560
Let d = 97 + -139. Find the common denominator of 13/28 and (-3871)/d*3/(-21).
84
Let v = -425/3 - -4099/30. Find the common denominator of v and 91/1116.
5580
Let d = -2617/6 - -438. Let m = 865243/24 + -36058. What is the common denominator of m and d?
24
Let f = 25/666 - 111919/1934730. Calculate the common denominator of 23/9 and f.
26145
Let k be (1 + 44/(-16))*-4. Let x(q) = 2*q + 7. Let r be x(k). Suppose 3*l - 5*i - 2 = 0, r = -l + 5*l - 3*i. What is the least common multiple of l and 5?
45
Let m = -127 - -124. Let l(u) = 9*u**2 + u - 6. Calculate the least common multiple of l(m) and 60.
360
Let x = 1839/28294 - -13/2021. Calculate the common denominator of x and 89/6010.
42070
Let w be -1 + 21 + (-1 - -1). Suppose 0*u + 2*u = w. Suppose -62 + 818 = 126*g. What is the smallest common multiple of g and u?
30
Suppose 2*h - 4*w = 580, 2*w - 4*w = -4*h + 1130. Suppose 83*m = 88*m - h. What is the smallest common multiple of m and 77?
616
Let t(a) = 34*a**3 + 5*a**2 + 5*a - 6. What is the smallest common multiple of 247 and t(1)?
494
Suppose -272 = -4*o + 144. Suppose -5*y + 172 + o = -3*p, 4*p + 170 = 3*y. Let c = -42 + y. Calculate the least common multiple of 27 and c.
108
Let p = -2952 + 3256. What is the least common multiple of p and 190?
1520
What is the common denominator of 91/18 and (201/12 + -14)/(-30)?
360
Suppose -308 + 2363 = 3*d. Let n = -13063/19 + d. Calculate the common denominator of n and -26/9.
171
Let j = -49833195/472 + 105579. Calculate the common denominator of 43/1888 and j.
1888
Suppose 4*a + 21 = 25*a. Find the common denominator of 33/(-2) - 0/(-1) and ((-91)/42)/(-13)*(a + -93).
6
Suppose 0 = -2*i + 264 - 258. What is the common denominator of ((-18)/75)/i*(-310)/(-8) and 12/97?
970
Let g be 1246140/623077 - (0 + (-1 - -3)). Let c = 2759119/9880221 - g. Find the common denominator of -16/27 and c.
999
Suppose 5*z - 9 = -4*v + 13, 2*v = -4*z + 14. Suppose z*y + 40 = r, 5*r - 2*r + 5*y = 76. Calculate the least common multiple of 44 and r.
352
Let l = -106094/55 - -1929. Calculate the common denominator of l and 2/77.
385
Let d = -4520094/209 - -21627. Let y = d - -21507/3344. Calculate the common denominator of 6 - (-1)/4*1 and y.
16
Suppose -6*p + 5*p + 43 = 0. What is the least common multiple of p and 0*(-8)/64 - (-1 - 1)?
86
Suppose 0 = -x + 4. Let o(i) = 6*i - 16. Let d be o(3). Suppose d*b - 24 - 8 = x*u, -4 = b + 2*u. What is the lowest common multiple of b and 22?
66
Let o = -141 - -145. Suppose 2*l + o*r - 80 = 0, 3*l - 235 = 2*r - 75. Calculate the least common multiple of l and 45.
450
Let p = -6309 - -6804. Calculate the smallest common multiple of p and 411.
67815
Suppose 0 = 2*x - 7*x + 470. Calculate the least common multiple of x and (3 - -21 - 2)/((-8)/(-4)).
1034
Suppose -2*h - 2*h = 5*z + 95, -5*z - 5*h - 90 = 0. Let s be -2 + z/(-4) + 3/12. Find the common denominator of -3/8 and 110/(-40)*1*2/s.
8
Let r = 69089 + -12850699/186. Calculate the common denominator of r and 101/24.
744
Let b = 598/15 - 773/15. Calculate the common denominator of b and -81/2222.
6666
Suppose 9 = 3*f, 28 = -2*m + 6*m - 4*f. What is the common denominator of (-438)/(-20) + 3/5 and (2997/2187)/(-1 + m/6)?
18
Suppose 324*t = 124428 - 31440. What is the smallest common multiple of t and 11?
3157
Calculate the smallest common multiple of 50*(-7 - 259/(-35)) and (-465)/(-18) - (-4)/24.
260
Suppose 2*r - 5*r = -5*c + 65, -4*c + 5*r + 65 = 0. What is the lowest common multiple of 30 and c?
30
Let p = 2143491 - 14432124936/6733. What is the common denominator of p and -49?
6733
Let a = 216540/19 - 36793351/3230. Let t = 27/17 + a. Calculate the common denominator of (-1 + 15)*(-22)/(-136) and t.
170
Find the common denominator of (3/(-6))/((-123)/737 - 6/(-33)) and -9/4606.
4606
Suppose -372*g - 46857 = -160689. Suppose 0*x + 2*x - 58 = -3*r, -4*r + 85 = -5*x. What is the smallest common multiple of r and g?
3060
Suppose s + 3*s = 64. Suppose -163*w = -165*w - 4*q + 32, -5*w + 2*q + 128 = 0. What is the lowest common multiple of w and s?
48
Suppose -294 = -2*m - 2*a, -4*a - 300 - 312 = -4*m. Find the common denominator of 3/(-12)*265*(-10)/m and (-543)/182 + (-2)/7.
156
What is the lowest common multiple of 258 and (7 + 320/(-15))*(-3)/2*62?
7998
Suppose 5*h - 80 = -5*v, v - 3*h - 28 = -7*h. Suppose -v*j = -9*j - 54. Calculate the smallest common multiple of j and 20.
180
Let y(d) = 23*d + 8. Suppose 14*w = 5*w + 27. Calculate the least common multiple of 7 and y(w).
77
Suppose -2*p + 76 = 5*t, -72 - 64 = -5*p + t. Suppose -41*w + p*w = -1872. What is the smallest common multiple of 216 and w?
432
Let a be (5/10*13)/((-2)/(-156)). Let f = a + -1104. What is the common denominator of f/108 - 12/54 and -69/22?
44
Let p(f) = -f**2 - 8*f - 13. Let x be p(-3). Suppose -x*k - 48 = -64. Calculate the least common multiple of k and 68.
136
Let j be -4 + 5 + 227/(-130). Let f = j + 10849/1560. What is the common denominator of f and 41/18?
72
Calculate the smallest common multiple of 140 and 9/2*896/1344.
420
Let m be (10/12)/(10/(-945)). Let r = 8861/112 + m. What is the common denominator of 107/40 and r?
560
Let o be 102/170 - (22766/3620 + 1). Let z = o - 2/181. Let g = -16217/1324 + -1/662. Calculate the common denominator of z and g.
20
Let r(k) be the first derivative of -k**4/4 + 19*k**3/3 + 12*k**2 + 24*k + 5. Calculate the lowest common multiple of 12 and r(20).
312
Let l be ((-240)/(-252))/(6/3668). Let m = -583 + l. What is the common denominator of -37/81 and m?
81
Let j be (-1 - -1)/(-15 + 17). Suppose j*o - 36 = -3*o. What is the lowest common multiple of 12 and o?
12
Let b = -4235/18 - -236. Calculate the common denominator of b and (258/184)/(33/22).
414
Let o be (-1 + -3)*9/18. Let z = 2/193 + 8681/386. Find the common denominator of (o - 30/(-14))/(1320/(-1001)) and z.
120
Let t = 9/275 - -7069/2475. Suppose -4*k + 0*k = 940. What is the common denominator of t and (9/30)/((-6)/k)?
36
Let m = 193/36 - 17/180. What is the common denominator of -68/1743 and m?
8715
Suppose 0 = -5*z - y + 7 - 33, 2*z - 5*y = -32. Let r be (4/(-3)*2)/(z/(-9)). What is the lowest common multiple of 1*(2 + 0/r) and 11?
22
Let n(v) = v**2 + 11*v - 33. Let x(y) = -11*y + 132. Calculate the smallest common multiple of n(3) and x(11).
99
Let l be (68/(-10))/((-4)/(-80)*4). Let x = 43 - 31. What is the smallest common multiple of x and (-4)/(-3)*(-153)/l?
12
Let d = 45/7139 - 362597/8823804. Find the common denominator of d and -113/84.
8652
Suppose -2*a = f - 121, 122*f = a + 127*f - 56. What is the least common multiple of 244 and a?
244
What is the lowest common multiple of (-9)/3 - 60*-2 and ((-1025)/(-615))/(10/432)?
936
Let r = -6722 + 7550. Calculate the least common multiple of r and 120.
8280
Let y = -2083/770 - -2/385. Suppose -w + 4 = -18*x + 20*x, 4*x = 4*w + 32. Find the common denominator of y and ((-1)/w)/((4410/(-3200))/(-21)).
210
Let w = 5072 - 137014/27. What is the common denominator of 76/2391 and w?
21519
Suppose 4*d = -39 - 233. Let o be (d/(-6))/((-20)/60). Calculate the common denominator of o/(-12) - (-26)/78 and -15/4.
12
Suppose 1060 - 260 = -5*c. What is the common denominator of -1*9/15 + 834/c and -47/60?
240
Let x = 34 - -18. Suppose 23*n - 147 = -26*n. Suppose n*i - 6 = 6, 0 = m - i - 12. What is the lowest common multiple of x and m?
208
Let z = -2995 + 3223. Calculate the least common multiple of z and 120.
2280
Let v be 2 + -3 + -1 - (4 + -8). Let m(h) = 81*h - 77*h + 11 + 5. Calculate the smallest common multiple of 24 and m(v).
24
Let d = 7954 + -6918. Calculate the lowest common multiple of 70 and d.
5180
Let v = 45 - -65. Suppose -3*u + v = 4*w, u + w - 37 = -0*w. Let f = u - 14. Calculate the lowest common multiple of f and 22.
264
Let d be (-15753)/(-10)*(-14)/21. Let y = -540611 + 5395717/10. Let b = y - d. Find the common denominator of 97/10 an