v + 120 = 5*v. Let j(y) = -23*y + 127. Let h be j(-11). Suppose 0 = -7*c - 65 + h. What is the smallest common multiple of c and v?
90
Suppose -5*h = -3*h + 4*p - 12, -5*p + 8 = 2*h. Calculate the common denominator of 4/h - 773/(-210) and 546/(-90) + (1 - -5).
30
Let w = -13419 - -1194276/89. Let l = 2142/11125 + w. Find the common denominator of l and 23/10.
250
Let h = 5007 - 4951. Calculate the smallest common multiple of h and 1176.
1176
Let o be (10/6)/(15/(-8590)). Let l = o + 952. What is the common denominator of 137/84 and l?
252
Let w(v) = v**3 + 3*v**2 - 16*v + 5. Let s = -140 + 135. What is the lowest common multiple of w(s) and 55?
385
Let n = 3554136/4679 + -69422777965/92007856. Let q = n - -1/2458. Find the common denominator of q and 37/54.
432
Let p = 20728997/760 + -27275. Find the common denominator of p and 91/160.
3040
Let l = 643 - -47. What is the common denominator of (6 - l/48) + 4 and 93/8?
8
Let m(i) = 3*i**3 - 31*i**2 + 132*i - 2. What is the smallest common multiple of m(4) and 33?
2442
Find the common denominator of 36/5 and (-1988)/8736*(-2)/(-9).
7020
What is the common denominator of 11 + ((-4)/11 - 273832/24024) and (-5)/(-20) + (-41)/180?
315
Suppose q - 1 = 4*j + 15, 4*q - 2*j - 22 = 0. Suppose -7*w - 64 = -q*y - 3*w, 0 = -5*w - 25. Calculate the least common multiple of y and 1 - ((0 - 7) + -3).
11
Let n = -228186/1584679645 - -4/66263. Let u = -463963/143490 - n. Let x = -1469/2 + 2168/3. Calculate the common denominator of x and u.
30
Find the common denominator of ((-32)/(-540))/((-4)/(-66)) and 44/(-77) + (-3716)/504.
90
Let c be 7/(6/(-180)*3). What is the smallest common multiple of 6 and 1 + ((-2)/10)/(14/c)?
6
Calculate the smallest common multiple of 962 and (18 + 54/(-42)*-7)*(-37)/(-3).
8658
Let c = 188948/297 - 6972/11. Find the common denominator of c and (-826)/63 + 4125/250.
54
Calculate the common denominator of (-240)/1557*(-3)/2 and 100/5 - 176/33.
519
Suppose 60*o - 64*o + 84 = 0. Suppose -150 = -o*c + 186. Suppose 4*p + 3 = 2*v - 61, -v + 7 = 3*p. Calculate the smallest common multiple of v and c.
176
Let z = -2341/5 - -56689/120. Find the common denominator of (194/20)/((-2890)/7225) and z.
24
Suppose 79 = -3*n - 101. Let k = -34 - n. Let f = -1414 - -1430. What is the least common multiple of f and k?
208
Suppose 0 = 5*u + p + 11, -3*u + p = 7 - 2. Let r = 1723/40 - 291/8. What is the common denominator of ((-1)/u)/((-6)/270) and r?
10
Let t(q) = -3*q**2 + 21*q + 44. Let m be t(-2). Find the common denominator of -51/16 and 6/m + -13*(-18)/840.
112
Let c be (12/(-6) + (-11)/(-2))*38. Suppose -10*u + c = 13. Let r(b) = 2*b**2 - 23*b - 9. Calculate the least common multiple of 1 and r(u).
3
Suppose -5*c + 5 = 5*f, -7*f + 6 = 3*c - 3*f. Suppose -11 = -2*y + 33. What is the smallest common multiple of y and (-7029)/(-54) - c/(-12)?
1430
Let l = -68295/13 + 60234175/11466. What is the common denominator of 107/28 and l?
1764
Let z = -41/9496 - 104359/7720248. Find the common denominator of 53/8 and z.
6504
Calculate the common denominator of (-8)/(-2) + 10096/(-1092) + 5 and 51/364.
1092
Let f(t) = -11 - 488*t**2 + 30*t - 494*t**2 + 980*t**2. Calculate the least common multiple of 5 and f(5).
445
Let v(b) = 2*b**2 + 121*b + 589. Suppose 0 = 2*k - k - 1. Calculate the smallest common multiple of k and v(-5).
34
Let s(t) = -2*t + 20. Let z be s(10). Suppose z = -5*r - 5*j + 225, 3 = j + 6. Find the common denominator of -2*(10/5 - (-46)/r) and 79/114.
228
Suppose -2*i = -5*l - 637 + 2632, 5*i = 0. Calculate the lowest common multiple of 6 and l.
798
What is the common denominator of (-2 - 1400/98)/(10/(-30)*9) and (-208)/154 + 2/(-7)?
77
Let w(v) = -v**3 - 13*v**2 - 53*v - 182. Calculate the lowest common multiple of w(-10) and 672.
672
Let s = 27 + -29. Let b be (-1)/((s - -1)/(-3)). Let r(q) = 2*q**2 - 6. What is the smallest common multiple of r(b) and 20?
60
Suppose -4*p = p - 55. Suppose 30 = -5*f + 5. Let m(b) = -b**2 - 11*b - 27. Calculate the least common multiple of m(f) and p.
33
Calculate the smallest common multiple of 22 and (75 - 80)*(-1)/((-10)/(-36)).
198
Suppose 2*u - 304 = -2*q, -3*q + 3*u - 7*u + 452 = 0. What is the least common multiple of q and 56?
2184
Let a = 20097/1901 + 66974021/292754. Let b = -2676/11 + a. Find the common denominator of b and 10 + (-3)/2 + (-385)/(-30).
42
Suppose 3*r - 1 - 17 = 0. Suppose 3*l - r = 5*l, 3*y - 4*l - 21 = 0. Suppose -2*z = 5*w - 7, 5*z = -w + 2*w - 23. What is the lowest common multiple of y and w?
3
Suppose 3*s + m + 15 = -0*m, 0 = 5*s - 2*m + 36. Let u(g) = 2*g**2 - g + 17. Let z be u(s). Let l = z - 85. What is the smallest common multiple of l and 6?
30
Let i = -11484144487/48 + 239285706. Let j = 32697 - i. Calculate the common denominator of j and 55/8.
48
Suppose -4*g = 3*a - 300, -5*a + 19*g + 650 = 9*g. What is the least common multiple of 1768 and a?
24752
Let n be -2*(0 + (0 - (-3)/(-6))). Let y(s) = 9*s**3 + 4*s**2 - 3. Calculate the lowest common multiple of y(n) and 66.
330
Suppose -4*v + 5*o - 4 = 0, 2*v + 8*o - 12*o = -8. Calculate the common denominator of v/12 - 156/(-18) and 121/12.
12
Suppose 70 = -5*x - l, -4*x - 4*l - 55 = x. What is the common denominator of -79/6 and (3/x)/(32/355)?
96
Let z(v) = v**2 + v + 33. What is the least common multiple of ((-54)/(-4))/((-195)/(-120) + 18/(-12)) and z(0)?
1188
Suppose -3*a + 3*d = -d + 12, 2*a - 32 = -4*d. Calculate the least common multiple of 2 + 10/3*3 and a.
12
Suppose 2*n + 39 - 13 = 0. Let q(w) = -w**3 - 12*w**2 + 6*w - 58. Calculate the smallest common multiple of q(n) and 132.
132
Let l = -38 + 43. Suppose l*v - j - 7 = 11, 4*v + j - 18 = 0. What is the lowest common multiple of v and 22?
44
Suppose -3*n = -5*n - 69864. Let z = 24922 + n. Let r = -160101/16 - z. Calculate the common denominator of r and 61/22.
176
Suppose 25*u + 7429 = 138*u - 1272. What is the smallest common multiple of 539 and u?
539
Let v be ((-123)/66 - -2)/(0 - 1821). Let n = v + 397284/33385. Calculate the common denominator of n and 89/236.
1180
Let v be 2 + -4 + 1 + 4. Let f be ((243/15)/v)/((-4)/(-3)). Let r = 157/15 - f. Calculate the common denominator of r and 125/6.
12
Let a = -73 - -137. Suppose -3*x - 2*x = t + a, 2*x = -2*t - 32. What is the common denominator of 20/x + (-39)/(-12) and -19/62?
372
What is the common denominator of -25/4 and (-17)/(-17) + (-2553)/1980?
660
Suppose -4*t - 4*u + 32 = -0*t, 0 = 3*t - 4*u - 17. Suppose -3*i = i. Calculate the smallest common multiple of (i + 4)/(2/4) and t.
56
Let q = -1093958772555/3818455859344 - -22/141466207. Let m = q + -45/241. Find the common denominator of m and -29/4.
112
Calculate the common denominator of -41/18 and (1/(-44))/((-1164)/(-7440)*10).
19206
Suppose 5*i - 1302 = -j, 5*j - 2*i + 857 - 7313 = 0. Calculate the smallest common multiple of 6 and j.
3876
Suppose 0 = 3*z + 2*v - 62, -5*v + 34 + 76 = 5*z. Suppose 140*m = 134*m + z. Calculate the lowest common multiple of m and 141.
141
Let a = 6057637/119 - 50904. Calculate the common denominator of 91/2890 and a.
20230
Calculate the common denominator of (1608/176 - 9)/((-9)/111) and 328/(-24)*3/(-626).
6886
Let d(z) = -3*z - 27. Let i be d(-10). Suppose -2*m - i*g - 203 = 0, 2*m + 76 = 5*g - 119. What is the common denominator of -71/16 and -73*(-3 - -8)/m?
80
Suppose 7*i + 250742239 + 689759225 = 0. Let k = -320307937443/2384 - i. Let v = 19/149 - k. Find the common denominator of -89/22 and v.
176
Let r = 65801/10465 + -3/1495. Let f = -15987/1355 - 2/1355. Find the common denominator of f and r.
35
Let u = -26757/8 - -257000961/76840. Let d = -259149/595510 + u. Let a = -92/145 + 11293/2030. Find the common denominator of d and a.
434
Let p = -227757555919/2008 + 113425088. Let c = -141/22 - -35523/5522. Let g = c + p. What is the common denominator of 3/14 and g?
56
Let l be (-1 - 4) + 4 - -1. Suppose 0 = 4*x + 5*w - 44, l*x - w = -3*x + 33. Let s = -21 - -29. What is the smallest common multiple of x and s?
88
Let f = 47508 + -30460. Let c = -1022809/60 + f. Calculate the common denominator of c and 79/66.
660
Suppose d + 79 = 3*c, -5*c + 26*d = 22*d - 148. Calculate the lowest common multiple of 12/(-8) - 15/(-2) and c.
24
Calculate the common denomina