 + 5*v = -m*v - 12227. Let o = g - 146609/24. Find the common denominator of -22/15 and o.
120
Suppose -2*q + 780 = -2*h, -3*q + 484 = 5*h - 734. Calculate the smallest common multiple of q and 33.
396
What is the common denominator of 4/7*3*3/(-12) and -9 - (5 + 1362/(-84))?
14
Let h = -9941200/711 + 13982. Let j = h + 6355/15642. What is the common denominator of j and 12/(-9) + ((-805)/(-30) - 0)?
22
Suppose -12*c - 2*c + 42 = 0. Suppose 78 - 6 = c*v. What is the smallest common multiple of 1 and v?
24
Let d = 919/30 + -103/3. Find the common denominator of d and 415/(-350) + 4/10.
70
Let k be 8/64*12 - (-21)/2. Calculate the common denominator of ((k/60)/(12/(-95)))/1 and 19/27.
108
Let t(w) = 540*w - 3088. What is the smallest common multiple of t(6) and 64?
1216
Let q = -32 - -48. Let g = -7 - -39. Let x = -24 + g. What is the smallest common multiple of q and x?
16
Let a be 53/1 + (-27 - -29). Suppose 5*n = -4*g + 215, -2*n = g - n - a. What is the lowest common multiple of 60 and g?
60
Let g(u) = 26629*u - 106456. Let r(k) = 5*k**2 - 3*k - 5. What is the least common multiple of r(5) and g(4)?
420
Suppose 0 = 5*k - 10 - 15, -5*k = f - 127. What is the least common multiple of f and (3/4)/((-147)/(-4704))?
408
Find the common denominator of -37/561 and (-503424)/(-1195236) + 18/(-42).
52173
Suppose 0 = 2*v + 39 + 773. Let w = v + 195. Calculate the least common multiple of 4/(-14) + -2*w/7 and 6.
60
Let x = 194105/111622 + -12/3283. Let z = 4083/2 + -1998. Find the common denominator of x and z.
34
Let m(z) = -z**2 + 3397*z + 18. What is the smallest common multiple of 0 + 0 - (0 + -150) and m(0)?
450
Let r be 2/2 - 2*8. Let j = 127/19 - 1427/114. Calculate the common denominator of (-5)/r - (-34)/(-36) and j.
18
Suppose -3*m - 15010 = -8*m. What is the common denominator of (-2)/(-9) + m/(-171) + 5 and 40/33?
33
Let p(t) = 2*t**2 + 73*t + 142. Suppose 0 = -0*j - 3*j + 54. What is the smallest common multiple of p(-2) and j?
36
Suppose -u + 235 = -6*u + 4*j, j + 141 = -3*u. Let g = u - -87. Calculate the smallest common multiple of 5 and g.
40
Calculate the common denominator of (-3*(-5)/(-210))/(6/708) and (1 + (-10)/4)*117/36.
56
Find the common denominator of (-96)/840*(-6)/70 and 4/63.
11025
Suppose -c + 2*s = -4*c + 22, 3*c + s = 20. Suppose 0 = 3*d - 2*d + 3. Let t(h) = h**2 - 6*h - 1. What is the smallest common multiple of c and t(d)?
78
Let j be 90/(-165) - -101*(-3)/(-11). Let m be 54 + 0*(-1)/2. Let w = m - j. Calculate the lowest common multiple of 12 and w.
108
Let w be 9/3*((-57)/(-9) + -2). Suppose -15*p + w*p = 4*x + 4, 5*x = -p - 8. Let z = -5 + 9. Calculate the lowest common multiple of p and z.
4
Let c be (-6 + 2)/((-2 - -1)/(-2)). What is the common denominator of 49/33 and (18/(-81))/(c/70)?
198
Calculate the common denominator of -61/15 and ((-575526)/(-71910) - -11) + -19.
11985
Let g = 1643 - 1639. Calculate the smallest common multiple of 11 and g.
44
Let u(w) = w**3 - 16*w**2 - w + 2. Let q be u(7). Let b = -4018/9 - q. Let j = 1765/2 + -863. Calculate the common denominator of j and b.
18
Let y = -693575/14 - -49492. Let a = 901/18 + y. What is the common denominator of a and 29/21?
63
Let o be ((-216)/(-30))/((-6)/(-15)). Let m be 40/18 - 2 - 30298/o. Let f = -16861/10 - m. What is the common denominator of f and 57/28?
140
Let d = 1 - -6. Let j = 2903 + -1473. Let z = 1434 - j. Calculate the least common multiple of d and z.
28
Let c = -14/5 - -33/10. Let q = -27/442 - -16187/884. What is the common denominator of c and q?
4
Suppose 18*o - 9*o - 294 = 2*o. Suppose 185 = 4*c + 3*r + 14, -3 = -3*r. What is the smallest common multiple of o and c?
42
Suppose -3*k - 4*k + 49 = 0. Let f(b) = b**3 - 12*b**2 + 12*b - 8. Let u be f(11). Suppose 4*l - 42 = -u*l. Calculate the least common multiple of l and k.
42
Let v = 102 - 12. Calculate the smallest common multiple of 25 and (-4)/18 - 5/v*-202.
275
What is the common denominator of -2 - ((-1)/(-2) - 1352/336) and 19*(6670/660 - 10)?
462
Suppose 5*n - 46 = -o, 5*n - 4*n = 2*o + 7. Let s(f) = -224*f + 16724. Calculate the lowest common multiple of n and s(74).
1332
Let u be (-2 + 3)*159 + 32/(-4) + 2. Let b be 24/2*1/(-2). What is the common denominator of -111/20 and b*2/4 - u/(-44)?
220
Let h(r) = -662*r - 4. Let b be h(-4). Let i = b + -16001/6. Let w = 498201/4 - 124528. Find the common denominator of i and w.
12
Calculate the common denominator of 24/(-44) + (3 - (-356625)/(-143880)) and 52/981.
7848
Suppose 2*d = 4*l - 26, 5*l = 2*d - 11 + 44. Suppose -l*p + 27 - 34 = 0. Calculate the common denominator of 53/11 and ((-438)/30*p)/((-2)/5).
22
Suppose 0 = y + 2*y - 96. Suppose v + 45 = -5*s + 4, 0 = -2*v + 5*s - 37. Let b = v + 48. What is the smallest common multiple of b and y?
352
Let f(c) = 45*c**2 - 157*c - 80. Suppose -77 = -q - 29. Suppose -27 = -5*z + q. What is the least common multiple of z and f(4)?
60
Let f(l) = -2 - 4*l**2 + l**2 + l**2 + 3*l**2. Suppose 0 = 3*o + n - 15 - 118, 0 = 3*o - 4*n - 98. What is the lowest common multiple of o and f(2)?
42
Let q be 1/(-4) - (-3 - (-12)/16). Suppose 0 = -4*y + 22 + q. What is the smallest common multiple of 4 and y?
12
Let u(f) = -6*f - 4. Suppose -4*r + 1140 = -3*b + 8*b, b = 3*r + 247. Suppose -19*v + b - 42 = 0. Calculate the lowest common multiple of u(-4) and v.
20
Let r(n) = -n**3 - 13*n**2 - 14*n - 8. Let t be r(-10). What is the common denominator of 119*3/(-45) + 4 and ((-35)/t)/(2/((-44)/2))?
120
Let h = -835637/952 - -12289/14. What is the common denominator of h and -1/336?
5712
Let a = -633059775/1312 - -482515. Calculate the common denominator of -35/48 and a.
3936
Let n = 10 - 4. Let o(u) = -3*u**2 - 16*u - 13. Suppose v + 25 = -4*m - 2*v, -4*v = -4*m - 4. Calculate the lowest common multiple of o(m) and n.
6
Let l be (-6)/(-8) - 12908/824. Let p = 17/103 + l. Find the common denominator of p and 83/42.
84
What is the least common multiple of (10 - (-32)/(-6))*144 and 1?
672
Let m(q) = -44*q - 4. Let p be ((-22)/(-4))/((36/(-8))/(-9)). Suppose 7*z + 18 = -p*z. What is the smallest common multiple of 4 and m(z)?
40
Let m be (-208)/12 + (-12)/18. What is the common denominator of (-716)/(-264) + (39/m)/13 and -28/99?
99
Suppose b = 3*b - 2*r - 50, -r = -3*b + 83. Let x = -21 + b. Suppose 217*y - 4347 = 6402 - 2937. What is the lowest common multiple of x and y?
72
Let k = 1424087/430534 + -1/33118. Find the common denominator of k and 54/5.
65
Suppose -18*t - 24*t + 984 = -t. Suppose 0 = 5*z - 6*g + 3*g - 226, 0 = -5*z - 4*g + 247. Let j = -32 + z. What is the least common multiple of t and j?
120
Suppose -s + 2*s = 2*j - 89, 0 = 3*s - 3*j + 282. Let o = s + 484/5. Calculate the common denominator of (-2 - 3*3)*62/217 and o.
35
Calculate the common denominator of ((-6006)/(-559) - 10)*((-27)/14 + 2) and 50/175 + 1*43/(-28).
1204
Suppose -648 = -3*l - 624. Let g(o) be the first derivative of -o**2/2 + 26*o - 6. What is the lowest common multiple of 20 and g(l)?
180
Let o = 20132/3 + -6709. Find the common denominator of 34/675 and o.
675
Suppose 120120 = 242*v - 11*v. Calculate the lowest common multiple of v and 676.
6760
Let z = 36 - 14. Suppose q + 4*b = 9, -q - 2*b + 14 = b. Let g = q - 27. Calculate the least common multiple of z and g.
22
Let q = 123323 - 73993771/600. Calculate the common denominator of 83/15 and q.
600
Suppose 8 = 5*o - 22. Let t(p) = -72*p. Let u(b) = -7*b. Let m(r) = 2*t(r) - 21*u(r). Calculate the least common multiple of m(o) and 8.
72
Calculate the common denominator of (9/(-3564))/(3*(-2)/531) and 3/25.
6600
Calculate the common denominator of 47/219 and (145*(-1)/1095)/11.
2409
Let h = -11023 - -220553/20. Let y = -17/597 - 44375/97908. Find the common denominator of h and y.
820
Let b(y) = y**3 - 30*y**2 + 30. Let d(z) = -z**3 + 61*z**2 - 59. Let m(f) = -5*b(f) - 2*d(f). What is the smallest common multiple of m(9) and 35?
245
Suppose 68*q - 176 = 60*q. Calculate the common denominator of 2875/(-385) + 48/q + -2 and -113/6.
42
Suppose 0 = -2*h + 5*o + 2325, 4*h - 1791*o + 1793*o = 4686. What is the least common multiple of 144 and h?
9360
Suppose -9*t + 12 = -5*t. Let x = -93 + 109. Suppose x*i = 12*i + 16. What is the lowest common multiple of i and t?
12
