is the least common multiple of 90 and 0 - 164/(-14) - f/(-14)?
180
Suppose -137*y + 1530 = -119*y. What is the smallest common multiple of 50 and 5*(y/4 - 18/(-24))?
550
Let f(v) = 7*v**3 + 48*v**2 - 6*v + 13. What is the lowest common multiple of f(-7) and 42?
42
Suppose -72005 - 17567 = -914*h. Calculate the smallest common multiple of 6790 and h.
47530
Let z(o) = o**3 - 38*o**2 - 35*o - 9. Let c(b) = 2*b**3 - 39*b**2 - 35*b - 9. Let q(u) = 2*c(u) - 3*z(u). Calculate the lowest common multiple of 75 and q(-35).
225
Let u(v) be the second derivative of -v**5/20 - 5*v**4/12 + 13*v**3/6 + 7*v**2/2 + 52*v. What is the lowest common multiple of u(-7) and 214?
1498
Suppose -143*b + 9 = -134*b. Suppose 13*l = 27*l - 1666. What is the lowest common multiple of b and l?
119
Let f(h) = -104*h + 1652. Calculate the smallest common multiple of f(4) and 18.
3708
Let q = 157320 - 72681779/462. Find the common denominator of 10/11 and q.
462
Let c(q) = -10*q**3 - 3*q**2 + 52*q + 113. Calculate the least common multiple of c(-2) and 319.
2233
Let i = 1167298 + -1113602395/954. Calculate the common denominator of i and -131/2544.
7632
Let r = -274 - -914. What is the lowest common multiple of 200 and r?
3200
Let r be (-3 - 1) + ((-60)/2)/1. What is the common denominator of -55/272 and (-1)/(-3 + (-112)/r)?
1360
Let k = 58 + -49. Let u = k + 13. Suppose 0*q - 4*q - 16 = 0, -2*t + 28 = q. Calculate the smallest common multiple of u and t.
176
Let c(u) = -100*u + 460. Calculate the least common multiple of c(-13) and 40.
1760
What is the common denominator of -25/27 and (-2 - (-48)/28) + (-11591)/(-52059)?
999
Let u(h) = -8575*h**2 - 6189*h**2 + 2*h + 735 - 735. Let t be u(-1). Let s = 324765/22 + t. Find the common denominator of 21/20 and s.
220
Suppose 0 = -4*o + k + 1655, 5*k + 3062 = 5*o + 1012. Calculate the common denominator of 71/153 and 3 + (-1)/(170/o).
306
Let m = 105 + -89. Let o(t) = -2*t**2 + m - 46*t - 47*t + 85*t. What is the lowest common multiple of 1 and o(-5)?
6
Let l = 34 + -30. Suppose -l*a + 154 = -106. Find the common denominator of 81/8 and -3 + 10/a*-3.
104
Let k = -1301/595 + 43/17. Let i = -60 - -403/6. Find the common denominator of i and k.
210
Suppose -100*j - 20*j = 48*j - 5040. What is the smallest common multiple of 240 and j?
240
Let p(m) = -3*m**3 + m**2 + 19*m + 65. What is the lowest common multiple of 25 and p(-7)?
5050
Let r(b) = -5*b**2 - 103*b - 418. Suppose 2*w - 49 - 471 = 0. What is the least common multiple of w and r(-6)?
260
Suppose 177*z - 80*z - 17548 = 58694. Calculate the lowest common multiple of 12 and z.
1572
Suppose 7516 = -68*y + 71*y - 5*z, -21*z = -3*y + 7548. What is the lowest common multiple of y and 72?
10008
Let z(j) = 505*j + 484. Calculate the smallest common multiple of z(3) and 4.
7996
Let v = -4736 - -4743. Calculate the least common multiple of 1518 and v.
10626
Let z be (0 + -7)*(-9)/21. Calculate the common denominator of 5/120 + z/(18/(-4)) and 123/10.
40
Let k(s) = s**2 + 8*s + 21. Let t be k(-4). Suppose -3*f + 2*n + 14 = 112, -5*n + 170 = -t*f. What is the smallest common multiple of ((-32)/10)/(12/f) and 22?
88
Find the common denominator of 77/783 and (876/(-54) - -16)/((-58)/186).
783
Calculate the least common multiple of ((-5)/(40/(-12)))/(87/464) and 0 + 2 + 128/2.
264
Let k = 1520807099/580 + -2622084. Let t = k + 213/29. Let i = -1279/2 + 689. Find the common denominator of t and i.
20
Let v = -120 + 123. Calculate the lowest common multiple of 23 - v/(-6)*-6*1 and 32.
160
Find the common denominator of 33/212 and (-3 - 44*177/1968) + 7.
8692
Suppose 102 = -8*c + 294. Calculate the lowest common multiple of (9/(-45))/((4/80)/(18/(-8))) and c.
72
Let p(s) = -s**2 + 11*s - 8. Let k be p(10). Calculate the lowest common multiple of 2 and 102/k - (2 - 2).
102
Let s = 40 - 38. Suppose s*m - 90 = 28. What is the least common multiple of m and 7?
413
Let h = 153 + -147. Calculate the common denominator of -73/24 and (-28)/(-162)*((-27)/h - 3).
216
What is the least common multiple of ((-13)/(-1))/((-5)/12)*(-160 + 150) and 8?
312
What is the common denominator of (-237)/(-81) - (-1)/9*-2 and (-507)/90 + 0/(-3) + 4?
270
Let p = -482 + 1311. Let x = p + -813. Calculate the lowest common multiple of x and 106.
848
Suppose 5*j + 79 = -4*w, -2*j = -0*j + w + 34. What is the least common multiple of (-475)/j + 6/2 and 44?
308
Let l(z) = 2*z**2 - 69*z - 39. Let j be l(39). Find the common denominator of (-12)/(-78) - 1985/j and -49/26.
312
Let r = 247 + -92. Suppose -3*o - 3*k - k = -92, 5*o = -5*k + r. Calculate the lowest common multiple of o and 2.
32
Calculate the common denominator of 1/((-6)/5)*(-114948)/4120 and 127/36.
36
What is the common denominator of 1*105/1125*-6 and -157/60?
300
Let v(x) = -x**3 - 6*x**2 + 6*x + 4. Suppose 4*s = 137*s + 810 - 8125. What is the least common multiple of s and v(-7)?
55
Let f(p) = -p + 6. Let m be ((-8)/12)/((-6)/(-279)). Let r = m - -33. What is the least common multiple of f(-4) and r?
10
Let m = -5885 - -6857. Calculate the smallest common multiple of 2187 and m.
8748
Suppose -10*t - 19528 = -18*t. Suppose 503 + t = 46*c. Calculate the least common multiple of 3 and c.
192
Let l be ((-20)/8)/((-2)/8). Calculate the common denominator of l/(-30) + 8/(-30) and (-3)/(-12) - (333/60 - 0).
10
Let h(s) = -s**3 + 5*s**2 + 7*s. Let j be h(6). Suppose -j*q = -546 + 54. Suppose -4 = -5*y + 66. What is the smallest common multiple of q and y?
574
Let f be (-2093)/5 - (-3 - -2). Let i = 25561/60 + f. Let n = 35158/9 + -3913. What is the common denominator of n and i?
36
Suppose 0 = -r - v + 7, 0 = -4*r - 5*v + 9 + 20. Let l be -3*(-2)/(-12) + 67/r. Let j = l + -113/9. Find the common denominator of j and 5.
9
Let x = -1228037/290130 + -6/9671. Find the common denominator of (13 + -16 + 778/42)/4 and x.
210
Suppose -3*i = p - 10, -5*i + 3*p + 2 = 4. Suppose 0 = 3*k - i*k - 5. Suppose 9*b = k*b + 12. What is the least common multiple of 54 and b?
54
Let q = -98 + 100. Suppose -q*g + 30 = -m + 47, -2*g = -2*m + 24. Calculate the lowest common multiple of 24 and m.
168
Let x = -24 - -31. What is the common denominator of x/11 + -1 - (-18)/72 and -67/68?
748
What is the common denominator of 61/301 and ((-26)/(-3) + -6 - 3) + (-9434)/(-28896)?
4816
Let f = -4 - -14. Let d = 4477 - 1741. What is the smallest common multiple of d/60 - (-4)/f and 18?
414
Let y(v) = v - 2*v + 1 - 2*v + 2*v. Let s(i) = -i**2 + 3*i + 22. Let k(d) = -s(d) + 5*y(d). What is the least common multiple of k(-3) and 44?
176
What is the common denominator of 9174088/(-706024) + 10 + 3 and 10/7?
56161
Suppose 22*v - 17*v - 50 = 0. Calculate the common denominator of v + 537/(-24) + (-1)/(-2) and 51/278.
1112
Let t(u) = 38*u + 842. What is the lowest common multiple of 168 and t(-17)?
1176
Let v = 1/780 - -36269/780. Let t = -1161 + 614. Let g = t + 5463/10. Find the common denominator of g and v.
10
Let v = 1771 - 1457. Calculate the smallest common multiple of 3454 and v.
3454
Suppose 4*l + 3*f - 954 = 0, 2*l - 836 + 332 = 3*f. What is the least common multiple of l and 621?
5589
Let d = -11079/4 - -263158/95. Calculate the common denominator of d and -59/950.
1900
Suppose -36 = -12*g + 30*g. What is the common denominator of -79/68 and g - (1239/154)/(-3)?
748
Let k(v) = 2*v**2 + 51*v + 705. What is the lowest common multiple of k(-15) and 6?
390
Let r = 1512 + -2355. Find the common denominator of r/45 + 9/(-15) and (-2 - 14/(-4))/(143/(-442)).
33
Let m(p) = -p**2 + 5*p + 26. Let r be m(9). Suppose 2*v = 3*j - 0*j + 8, -v - 6 = j. Find the common denominator of -145/6 and v/r - (-166)/(-40).
60
What is the least common multiple of (-1)/((-5*(-8)/80400)/((-4)/5)) and 48?
3216
Suppose -17*r + 2 - 53 = 0. Find the common denominator of -53/16 and (((-18)/14)/r)/((-304)/(-84)).
304
Suppose 3*j + 3 = -n + 13, -2*j = n - 10. Suppose a = -2*k - 884, -2*k = 3*k + 5. Let r = 886 + a. What is the least common multiple of r and n?
20
Suppose 3*i - 3*l - 1731 = 0, -2273 = -91*i + 87*i - 3*l. Calculate the lowest common multiple of 36 and i.
5148
Let c(r) = 14*r**3 + 7*r**2 - 3*r + 6. Suppose 8*m - 24 = -80. Let i be c(m). Let f = i + 97487/22. What is the common denominator of -47/10 and f?
1