(-2))/(4/(-490))?
210
Let h(o) = -18*o - 476. Suppose -j = 5*l + 3*j - 21, -12 = -3*j. Calculate the least common multiple of 1 + l - (-15 - -1) and h(-29).
368
Let x be (-4)/(-10)*1540/(-14). What is the lowest common multiple of x/(-8)*(1 + 1) and 1/(-6 + (-122)/(-20))?
110
Let d = 33 + -15. Find the common denominator of (63/(-30))/(d/(-110)) and -101/110.
330
Suppose -2*d = -f - 599, -5*d - 5*f + 785 = -720. Calculate the lowest common multiple of d and 36.
900
Suppose 0 = -4*t + 13*n - 8*n + 625, 0 = -5*t + 4*n + 770. What is the least common multiple of 40 and t?
600
Let f = 28493/1476 + -20/369. What is the common denominator of f and (-165)/(-9) - 2 - (-63)/(-9)?
12
Let k = 6 + -3. Let a(o) = 5*o**2 + 18*o - 8*o**2 + 2*o**2 + 1. What is the smallest common multiple of k and a(18)?
3
Let y(a) = 2*a**2 + 29*a + 16. Let m be y(15). Suppose 0 = 23*o - m + 73. Calculate the least common multiple of 24 and o.
72
Let g = -3 + 7. Let t(i) = 7*i**3 + 305*i**2 - 448*i + 107. What is the lowest common multiple of t(-45) and g?
68
Let u(f) = -16*f - 3. Let k(t) = 33*t + 7. Let a(s) = 2*k(s) + 5*u(s). What is the lowest common multiple of (-27)/(297/88) + (-18)/(-45)*95 and a(-2)?
270
Let f(g) = -g**3 + 9*g**2 + 31*g - 4. Let v be f(-4). Suppose -2*k + v = 62. What is the least common multiple of 18 and k?
18
Let x be (-2)/(-5) - (-22)/(-5). Let u be -3 - (-5 - -7)*(-2)/4. What is the common denominator of (u*243/4)/(x + 1) and 39/10?
10
Let b = -627029/84540 + 2/7045. Let d(n) = n**2 + n - 3. Let t be d(-2). What is the common denominator of -2 - t - (-42)/96 and b?
48
Let g(y) = -4*y - 43. Suppose 2*r - u = -2*r - 36, -2*r = 4*u + 36. Let h be g(r). Let s = 9 + h. What is the least common multiple of 12 and s?
12
Let c = 102 - 462. What is the common denominator of 61/24 and 30/24*(-44)/c?
72
Let l be 7/(21/(-4))*(-1 + -2). Suppose -l - 6 = -5*u - 5*a, 0 = -3*u - 5*a. What is the smallest common multiple of u and 32?
160
Let g = 2/3191853 - 47234104649/6383706. Let r = g + 7382. What is the common denominator of r and 50/81?
162
Let k = -184/7 - -2209/84. Let x = k + 3439/420. Calculate the common denominator of -29/45 and x.
45
Suppose -11*f + 456 + 248 = 0. What is the common denominator of (-2)/(f/92) - -4 and 61/40?
40
Calculate the smallest common multiple of 8 and (40/25)/(((-1)/3125)/((-2)/4)).
5000
Let u = -174/1039 - -127241/170396. Let c = -39565/12 + 3293. What is the common denominator of c and u?
492
Let o be (-4)/22 - (-203070)/297. Suppose -6*d + 3*c = -11*d + 3418, d - 2*c = 694. Let y = d - o. Calculate the common denominator of y and -109/10.
90
Let s = -1/3581416 + 93189339677/10744248. Let u = s + -8667. Find the common denominator of u and 117/14.
84
Let a = -3/113783 - -5804853/72821120. Find the common denominator of -109/1040 and a.
8320
Let l = 2182/11 - 340799/1716. What is the common denominator of l and -13/72?
936
Suppose 45 = -4*x + 29. Calculate the common denominator of 101/120 and 1 + 12/x - (-524)/240.
120
Suppose 0 = 128*d - 7964 - 7012. Calculate the smallest common multiple of d and 312.
936
Let l = -176 + 180. What is the smallest common multiple of (-5 + 7)/(1/10)*l and 4?
80
Suppose -2*h - 3 = 4*w - 27, -4*w + h = -12. Suppose -2*i = -2*y - i + 43, 5*i - 51 = -4*y. What is the common denominator of ((-12426)/108)/y + 1*w and 83/22?
198
Let u = 393577/6 + -19537699/294. Let i = u + 860. Let r = i + -3893/294. Find the common denominator of -19/52 and r.
156
Let u(n) = 7*n + 86. Suppose 4*k + 20 = -24. What is the least common multiple of u(k) and 219?
657
Suppose -66*l + 36387 - 10616 = -13169. What is the lowest common multiple of l and 45?
5310
Let b(i) = 8*i + 2. Let l be b(2). Let w be -6 - (-8 - (-10 + 21)). Suppose l*a - 50 = w*a. What is the least common multiple of 7 and a?
70
Let s = -18142 - -1524029/84. Calculate the common denominator of s and 92/1071.
4284
Suppose 14*x - 51 = 10*x + 3*z, -z + 94 = 11*x. What is the least common multiple of x and 391?
3519
Suppose p - 1 = 2*y, p - 3*y = -2*y - 1. Let g(b) = 3*b**2 + 3*b. What is the smallest common multiple of 9 and g(p)?
18
Let d(c) = -2*c - 4. Suppose -5*y - 45 = -5*m, 2*y + 2 = -m - 10. What is the lowest common multiple of (6 - (0 - 23)) + -9 and d(y)?
20
Let r = -7125 + 7145. Calculate the smallest common multiple of r and 3195.
12780
What is the common denominator of ((-37)/6)/((-15)/6) and 2605/(-521) - 415/(-81)?
405
Let w(n) = -n**2 + 13*n + 5. Let v be w(13). Suppose v*r - 81 = 214. Calculate the smallest common multiple of 5 and r.
295
Find the common denominator of (-2)/27 - (-125302)/51084 and (-1)/(-7)*(-5 + 24/22).
462
Suppose 2*j + 3*u - 5298 = 0, 3*j = -6*u + 3444 + 4512. What is the least common multiple of j and 2400?
26400
Let q(o) = -o**3 + 2*o**2 + 3*o + 2. Suppose -21*a + 18*a = 0. Suppose 4*l - i - 38 = 0, -i - 6 = 2*i. What is the smallest common multiple of q(a) and l?
18
Suppose v + j = 9, v - 4*j = 2*v - 24. Let g = 1134 - 1134. Suppose r - 15 = -2*t, -2*t + 11*r - 8*r + 3 = g. Calculate the smallest common multiple of v and t.
12
Let y = 4728/161 - 1679057/57960. What is the common denominator of y and -73/30?
360
Let h = -95/18 + 136/9. What is the common denominator of 43/76 and h?
228
Let r(v) = -5*v**3 - 96*v**2 - 15*v - 46. Calculate the least common multiple of r(-20) and 10.
9270
Let y(i) = 14*i - 76. Let g be y(5). What is the least common multiple of (-1440)/(-220) - g/(-11) and 24?
24
Suppose 4*p + 42 - 66 = 0. Suppose -3*b + 298 = 123*u - 119*u, 2*u = -b + 96. Calculate the lowest common multiple of b and p.
318
Let j = 33766 - 31578. What is the least common multiple of j and 108?
59076
Let a = 294 + -188. Suppose -9*l = 16 - a. What is the lowest common multiple of l and 15?
30
What is the common denominator of 47/5 and (78/(-80))/((-56)/672)?
10
Let g be (-1)/(7/(-168))*(-54)/1740. Let c = 11154/48869 - 1192955093/170064120. Let d = c - g. What is the common denominator of d and -29/10?
120
Let c = -4/351 - 8303/351. Calculate the common denominator of c and 0 - (12/(-112))/3.
84
Let f = 85 - -5. Calculate the smallest common multiple of f and (6 + -3 + 2)*90/25.
90
Let n(s) = -s**3 + 148*s**2 - 131*s - 2322. Calculate the least common multiple of 42 and n(147).
210
Let s = -691960 + 1041388643/1505. Let l = s - -4/301. Let o(b) = b**2 + 4*b - 3. What is the common denominator of o(-9) and l?
5
Suppose -5*p + 66*p = 1586. Let c(t) be the third derivative of -t**5/60 + 25*t**4/24 + 7*t**3 - 2*t**2. Calculate the smallest common multiple of c(p) and 6.
48
Suppose -1216 = -334*k + 788. What is the lowest common multiple of k and 28?
84
Let s(d) = -d**2 + 15*d - 26. Let g be s(13). Calculate the common denominator of 13/27 and (-5)/(-135)*(g - 73).
27
What is the common denominator of 79/72 and 280/(-53100)*40/(-48)?
12744
Let h be 10/8*96/8. Suppose 13*d - 8*d + h = 0. Find the common denominator of (-1 - 1 - 294/(-72)) + d and -15/4.
12
Suppose j + j = 6. Suppose 40 = -j*u + 115. Calculate the common denominator of 59/7 and (u*-2)/((-32)/(-6)).
56
Let t = -3425/588 - 38/147. Calculate the common denominator of t and (-1 - -4)/((-44)/(-187)).
12
Let t = 8136 + -2489629/306. What is the common denominator of 113/120 and t?
6120
Let n = -24300621367648/559 - -652344202689164155965/15006217486. Let o = n - 80/58613. Let r = o - -1/687. Calculate the common denominator of r and -43/18.
18
Calculate the common denominator of 83/21514 and 1/(-8)*(4 + (-848)/10).
107570
Let f(r) = r**2 - r. Let s(m) = -m**3 + m**2 - 2*m + 7. Let j(z) = 6*f(z) - s(z). Calculate the lowest common multiple of 25 and j(-4).
25
Let p = -403945/351 + 14972/13. Let n be 383/12*(-8)/18. Let x = 14 + n. Find the common denominator of x and p.
27
Let d = 4162 + -192. What is the smallest common multiple of 12 and d?
23820
Let l(h) = 2*h**2 + 31*h + 107. Let x be l(-6). Find the common denominator of 87/22 and (35/(-75))/x*(-5)/4.
132
Suppose 0 = 10*g - 0 + 50. What is the smallest common multiple of 18 and (54/4)/(((-35)/28)/g)?
54
Let i = -937/360 - 1/45. Calculate the common denominator of i and 9968/(-840)*5/8.
24
Let y(m) = 10*m**2 - 45*m + 10. Let j be 5/(((-20)/30)/((-6)/9)). Calculate the lowest common multiple of y(j) and 70.
7