1552 + 12333/8. Calculate the common denominator of q and (12/(-10))/((-2)/(-65))*1.
8
Let n = -193448183/432 + 447797. What is the common denominator of n and 43/78?
5616
Suppose 8615 = 7*z + 999. What is the least common multiple of z and 10?
5440
Suppose q - 112 = 3*l, 4*q - 191 = 4*l + 249. Suppose -221 = -6*m + q. What is the common denominator of 33 and 10/m - (-204)/(-33)?
1
Let o = 4/213 - 4955/2982. Find the common denominator of (-4)/104*(-74)/10 and o.
910
What is the common denominator of ((-4466)/(-174))/(6/(-2) + -38) and -38/205?
615
Let t(k) be the second derivative of 189*k**5/20 - k**4/12 + k**3/3 + 53*k. What is the lowest common multiple of 95 and t(1)?
190
Suppose 578 = 9*u + 218. Suppose -5*a + 43 = 13. What is the smallest common multiple of u and (-2)/a - 122/(-6)?
40
What is the common denominator of ((-1771)/(-1210))/23 + (-9)/(-36) and 23/520?
5720
Let h = -21076566 + 29844412607/1416. Let k = h + -65/177. What is the common denominator of k and 143/6?
24
Let w(o) = -o**2 - 30*o - 23. Let y be w(-24). Suppose 0 = -y*f + 116*f + 60. What is the smallest common multiple of 21 and f?
84
Let u = 3518 + -3510. What is the lowest common multiple of 2056 and u?
2056
Let t be 39/12 - 1/4. Suppose -u = -5*p + 10, t*p = 4*p + u - 2. Suppose -i = -4*j + 3, 1 = p*i - 9. What is the least common multiple of 8 and j?
8
Let s = 3/21080 - -22692611/63240. Let n = s + -355. Calculate the common denominator of n and (-2)/(-8)*22/(-8).
48
Let u be ((-13401)/(-2) - -1)*11/(-264). Let a = -821/3 - u. Let f = 5744 + -275737/48. Calculate the common denominator of f and a.
48
Let z = 16 + -18. Let k be z - (2 - 4/4)*1. Let p(o) = o**3 + 3*o**2 - o + 4. Calculate the smallest common multiple of 4 and p(k).
28
Suppose -8 = 2*t + 4*l, 4*l + 6 = -9*t + 6*t. What is the common denominator of -4/9 and (145/(-45) + t + 1)*12?
9
Let u = -578 - -6410/11. Calculate the common denominator of (402/112)/(-1 + (-7)/(-4)) and u.
154
Let q(l) = -12*l + 24. Let k be (2/(-4))/(2/(-84)*-3). Let i be q(k). Let r = i + -96. Calculate the least common multiple of 180 and r.
180
Let p = -116574 + 23431309/201. What is the common denominator of p and 37/75?
5025
Let l = 195142111/580 - 336452. What is the common denominator of l and -9/1450?
2900
Let z = -72526/5 - -217678/15. Let i = -860608/81 + 10625. Find the common denominator of z and i.
81
Let u = 11/3352 - 55793/20112. Let d = 1396/7 - 32657/168. Find the common denominator of d and u.
48
Find the common denominator of -91/5464 and -2*11/(-176)*62*(-2)/16.
21856
Suppose -11*z - 126 = -18*z. Let n(m) = 4*m + 9. Let a be n(-22). Let k = a + 101. Calculate the smallest common multiple of z and k.
198
Let b be ((-12)/9)/((-1122)/(-225) - 5). Calculate the common denominator of ((-6)/b)/((-324)/20490) - 4 and -71/16.
720
Let q = 1362 + -1292. What is the least common multiple of 6 and q?
210
Suppose 4*a + 215059 = -5*f, -5*f = -0*a - 4*a - 215029. Let i = a + 2150549/40. What is the common denominator of i and 143/48?
240
Find the common denominator of (-7 + (-1172)/(-168))*457 - (-2)/(-7) and 38/81.
162
Let x be (-18)/(-10)*2218/(-696). Let m = 17/29 + x. What is the common denominator of 15/2 and m?
20
Suppose 2*u + h - 3331 = -0*u, 0 = h - 3. Let m = 33313/20 - u. What is the common denominator of m and 103/116?
580
Let k = 62143 - 62121. What is the lowest common multiple of k and (-345)/(-20) - 3/(-4)?
198
Suppose 3*w = 5*s - 1381, -467 - 1842 = 5*w - s. Find the common denominator of w/4067 + (36/14)/(-6) and -37/4.
332
Let n = 74 + -104. Let b = n - -36. Suppose -1 = r - g, r - 2*g = -b*g + 19. Calculate the lowest common multiple of 3 and r.
3
Let i(v) = 4*v + 1. Suppose -3*a = 2*l - 34, a + 4*l = 3*a + 4. Suppose -4*x = q - 18 + a, 8 = -4*x. What is the lowest common multiple of q and i(2)?
18
Let u(v) = -49*v**3 - 7*v**2 - 2*v + 6. Let r be u(-3). What is the common denominator of 1 + (-3)/4 + (-23638)/r and -5/8?
24
Suppose 7*u - 7 = 42. What is the least common multiple of (1*6)/(10/u + -1) and 14?
14
Suppose 9*v + 22 = 11*v. Let a = 5035 + -4945. Calculate the least common multiple of a and v.
990
Suppose 939 - 963 = 2*p. Calculate the smallest common multiple of (6576/120)/((p/(-15))/2) and 1.
137
Let q = 104 + -72. Suppose 6*k - 9*k - 4*a = -q, 0 = 5*k - 3*a - 34. Calculate the lowest common multiple of k and 24.
24
Let p = -46773716 - -842197463/18. Suppose -5*b = 4*h + 75174, -b + 0*b - 15058 = -5*h. Let a = b + p. What is the common denominator of -113/30 and a?
90
Let h = 1409 - 797. Let c = h - 552. Calculate the least common multiple of c and 12.
60
Suppose 2*i + 0*i - 5*u + 9 = 0, 0 = 2*u - 6. Suppose 3*o = -y + 168, -6*y + 636 = -2*y + i*o. What is the least common multiple of y and 24?
312
Let a = 16726 + -1287841/77. Calculate the common denominator of -45/616 and a.
616
Let h(y) = -42*y**2 - 3. Let q be h(3). Let d = q - -441. Calculate the least common multiple of d and 114.
1140
Let b(o) = 31*o**2 - 155*o - 48. Calculate the least common multiple of 222 and b(-6).
1998
Suppose 0 = 2*y - s - 1288, -4*s = -2*y - 8*s + 1298. Calculate the common denominator of 149/18 and -1 - (y/90 - (-2)/2).
18
Let w = -135 + 157. What is the smallest common multiple of w and (-6)/(-36) + (-69)/(-18)?
44
Let m = 94 - 91. Suppose 3*r + 4*d = 9*d + 66, m*r - 2*d - 66 = 0. What is the smallest common multiple of 158 and r?
1738
Suppose 0 = 3*k - b + 30, 5*k - 23 = 5*b - 63. Let p = -148977/14 + 10636. What is the common denominator of 22/(-121)*k*99/(-4) and p?
14
Let r = -298 - -520. Find the common denominator of 992/(-280) + 1 - 6/10 and ((r/21)/(-2))/1.
7
Let i = 4456 - 4236. Calculate the smallest common multiple of i and 180.
1980
Suppose 0 = 4*v - 5*i + 30, -8*v + 3*v + 3*i - 44 = 0. Find the common denominator of (v/45)/(1 + (-935)/915) and 31/26.
78
Suppose -233*h = -244*h - 55. Let r(m) = -35*m**2 - 183*m - 2. Suppose 4*d + 0*d - 8 = 0. Calculate the smallest common multiple of r(h) and d.
38
Suppose -47*t = -3*b - 45*t + 3813, -3*b = -t - 3807. Calculate the smallest common multiple of b and 9.
11403
Let v = 29936287/198 - 151194. Find the common denominator of 65/198 and v.
198
Let v = 11560 - 11538. What is the smallest common multiple of v and 9584?
105424
Suppose 3*f + 3*u - 16 = -u, 2*u - 8 = -4*f. Find the common denominator of (738*(-17)/(-306))/(11*2*1) and f - ((-14)/20 + 0).
110
What is the common denominator of 13/(-84)*(-3 + -24) and (0 - 2) + (-15 + 14)/(70/(-74))?
140
What is the common denominator of 3 - (910869/303278 - (-1 - -1)) and -7/12?
79116
Suppose -51 = -3*y - 15. Suppose 7*b - 325 - 1019 = 0. Let v = 204 - b. Calculate the smallest common multiple of y and v.
12
Let k = -24 - -35. Let j(v) = -27*v + 18. Let c be j(6). What is the smallest common multiple of 24/(-84) - c/14 and k?
110
Let u = -2/123 + -4379/492. Calculate the common denominator of u and (22 + 1784/16)/72.
48
Let b = -21388657003/5624 + 3803104. Find the common denominator of b and -13/608.
22496
Let t be 95*2 + (-234)/(-39). Let l = t + -175. What is the smallest common multiple of 3 and l?
21
Let j = 9048381/221 + -40943. Find the common denominator of 16/39 and j.
663
Let r = -16555 - -19831. Calculate the lowest common multiple of r and 84.
3276
Let r = 2954268245/1687872 - -17/562624. Let b = -1750 + r. Calculate the common denominator of b and -13/6.
24
Suppose 1979*k = 1745*k + 1053000. Calculate the least common multiple of k and 3500.
31500
Let i be ((-3722)/(-6))/((-2)/(-6)). Let a = i + -3821/2. Calculate the common denominator of 73/1*(-5)/(-51 + 1) and a.
10
Let q = -1206 + 3665/3. Calculate the common denominator of q and -4 + ((-86598)/(-1140))/17.
570
Let c(b) = -23*b - 67. Let r be c(-3). Suppose r*i = -y + 442, 3*i - 372 - 282 = 3*y. What is the lowest common multiple of 4 and i?
220
Let d = -1759 - -1987. What is the least common multiple of 285 and d?
1140
Suppose 5*w + 4*y - 47 = 110, w = -5*y + 23. Let g = 534 + -528. Calculate the lowest common multiple of w and g.
66
Let t be 177 - ((-70)/21 - 1/(-3)). Suppose -t = -165*m + 159*m. Suppose 7*l - 21 = -3*u + 2*l, u + 3 = -5*l. What is the least common multiple of u and m?
60
Let v = -241045/16 + 15071. Find the common denominat