?
400
Let c = -1/2645 - 4829767/7935. Let j = -631 - c. Find the common denominator of j and 44/45.
45
Let w be 452988/(-35305092)*2/(8/(-54)). Let u = w - -43/1403. Calculate the common denominator of u and 101/22.
5126
Let i be (78/(-8463))/(2/(-45)). Let a = i + -29401/2604. What is the common denominator of a and -71/9?
36
Let a = 8147 - 34543279/4240. Calculate the common denominator of a and -109/60.
12720
Suppose 0 = -5*j + 4*z + 65, -j + 4*z + 38 = j. Suppose -j*u = -6*u - 6. Calculate the lowest common multiple of 22 and (u/5)/((-2)/(-20)).
44
Suppose 2*w = w - 21. Suppose 9*p = -84 + 309. Let a = p + w. Calculate the lowest common multiple of a and 5.
20
Suppose 39 + 21 = -6*z. Suppose 0 = 37*y - 34*y + 6. What is the common denominator of -91/40 and (y/10)/(z/455)?
40
Suppose -1841 = -7*z - 0*z. Let h = 287 - z. What is the lowest common multiple of h and 6?
24
Suppose 972 = 8*s - 4*s. Let y = s + -223. What is the lowest common multiple of y and 12?
60
Suppose -2*x = -12, -332*t + 327*t - 2*x + 22432 = 0. What is the least common multiple of 32 and t?
35872
Let p(d) = -3*d**2 - 9*d - 30. Let m be p(13). Let c = m + 660. Let k(w) = -w + 32. Calculate the lowest common multiple of k(0) and c.
96
Let s be (8 - 0)*2/(0 + 2). Let m be 61564/(-30786) - s/(-4). Let d = m - 1154579/400218. Calculate the common denominator of d and -62/5.
130
Let g = -1400/13 + 33674/325. Let c = g - 471/50. Let s = 18847/8 + -2351. Calculate the common denominator of s and c.
8
Let h = 1436785/52 + -27631. Calculate the common denominator of h and -107/132.
1716
Let c(a) = -8*a**2 - 330*a - 58. What is the least common multiple of c(-41) and 16?
48
Let a = 564910 + -5633282575/9972. Calculate the common denominator of 69/4 and a.
9972
Let d(f) = -f**3 + 16*f**2 + 104*f + 26. What is the least common multiple of d(21) and 19 - (0 + (-1 - 0))?
20
Let u(m) = -m**3 + 9*m**2 - m + 21. Let s be u(7). What is the smallest common multiple of 4 and (2 - 7)*s/(-20)?
28
Let h be (4 + -4 + 2)/1. Suppose h*a - 7*a = 2*a. Suppose -9*x - 4*s + 40 = -7*x, 4*x + 3*s - 70 = a. What is the lowest common multiple of 24 and x?
48
What is the smallest common multiple of 2/(-38) + (-3934280)/(-2660) and 510?
14790
Suppose 28*v - 27*v - 1266 = -4*y, 4*y = -2*v + 2532. Calculate the least common multiple of 14 and v.
8862
Let b = -1741/3 + 3379/6. Calculate the common denominator of b and -49/9.
18
Let r = -1198/5 - -22754/95. Let s = -21618515 + 24645109759/1140. Let a = s - r. Calculate the common denominator of 55/16 and a.
48
Let n = 328153877151109/27390 + -11980791424. Let x = -189/415 + n. Calculate the common denominator of -29/16 and x.
528
What is the smallest common multiple of (-18)/4*((-574)/205 - 8/(-10)) and 740?
6660
Let m(f) = f**3 - f**2 + 75*f - 150. What is the smallest common multiple of 320 and m(2)?
320
Suppose -2*a = 8*a. What is the common denominator of ((-1620)/(-25) - a)*5/80 and -3/310?
620
Let v be -110*((-2)/(-3) - (-48)/90). What is the common denominator of (6/4)/(v/121) and 49/11?
88
Let x(y) = -4*y**3 - 3*y**2 - 16*y + 35. Let l be x(5). Calculate the common denominator of 6/60*l/(-32) and -95/66.
528
Let j = 1/939 - 42931/634764. Find the common denominator of 87/52 and j.
676
Suppose -a - 45 + 107 = 2*i, 5*a + 53 = i. Suppose 4*j = -2*b + 46, -3*b + 7 = -3*j + 19. What is the least common multiple of j and i?
99
Let y = -28771/19 - -88815659/58653. Find the common denominator of -11/35 and y.
15435
Suppose 266*o - 23906 - 11609 + 7053 = 0. Calculate the least common multiple of 42 and o.
4494
Suppose -14*o = 8*o - 44. Let l(q) = -q**3 + 15*q**2 - 14. Calculate the smallest common multiple of o and l(10).
486
Suppose -r - 37 = 2*j - 5*j, 0 = -5*j - 2*r + 47. Let v(z) = -8*z - 26. Let c be 2 - -2 - (8 + 3 - 3). What is the smallest common multiple of j and v(c)?
66
Let r = -309372283/871 + 355192. What is the common denominator of r and 33/6097?
6097
Suppose f = -4*c + 55, 5*f - 5*c - 65 = 160. Let k = f + -33. Calculate the least common multiple of k and 11/44 - (-1 + 393/(-12)).
238
Let u(g) = -3*g - 7. Let h be u(-3). Suppose 5*o - 26 = -h*y, -y + 10 = 2*o - 0*o. Let q = 69 - 61. Calculate the lowest common multiple of o and q.
24
Suppose -t = -3*p + 3, -4*p + 0*t = -2*t - 2. What is the lowest common multiple of p and -2*2*36/(-16) + 9 + -14?
4
Suppose d - 15*d = 8*d. Suppose d = r + 5*t - 43, -38*r + 36*r = 3*t - 51. What is the lowest common multiple of r and 140?
1260
Find the common denominator of -97/1540 and 7/(-2)*2 - 345*(-7)/588.
1540
Let c = 226 - 91. Suppose s - 4*u + 40 = 2*s, u - 175 = -3*s. Calculate the least common multiple of s and c.
540
Suppose -3*t - 5*m = -136, 163 = 4*t - 3*m + 30. Calculate the common denominator of (-66)/8 + 2 + -2 and -32*1/(-3) - (t + -42).
12
Let c be 0/4 + (-95)/19. What is the lowest common multiple of 2 + ((-494)/c - 32/40) and 16?
400
Let x = 17 + -12. Suppose -2*b = -3*m + 2, 3*m = 5*b + 2*m - 8. Suppose b*a - 32 = 4*l, -2*l - 15 = l. Calculate the least common multiple of x and a.
30
Suppose 22*o - 14 = 8*o. What is the smallest common multiple of 27 and (o/(-9)*-3)/(1/27)?
27
Let j(k) be the second derivative of 1/20*k**5 + 8*k + 0 - 11/12*k**4 + 11/6*k**3 + 3*k**2. Calculate the least common multiple of j(10) and 44.
176
Suppose 0 = 4*x + 20 - 4, -z + 22 = -5*x. Suppose 0 = z*r + 4*p + 78, -2*r - 5*p = -4*r - 60. What is the lowest common multiple of 4 and ((-4)/12*r)/(1/6)?
140
Let w(n) = 338*n**2 + 4. Let x be w(-1). Find the common denominator of (149*(3 + -2))/18 and 2/(-8) - (x/(-60) - -4).
180
Calculate the common denominator of ((-91080)/(-16100))/((-824)/(-10)) and -75/824.
5768
Calculate the common denominator of 20/1131 and 61548/16380 - (-288)/(-80).
7917
Let c = -11306 + 56522/5. What is the common denominator of 12/1711 and c?
8555
Let s = -54931163 + 2251885087/41. Let w = s - -7136. What is the common denominator of w and 2/7 - 165/21?
287
Let c(h) = 23*h + 31. Let f(r) = 116*r + 154. Let a(y) = -11*c(y) + 2*f(y). Calculate the least common multiple of a(-3) and 54.
270
Let j = -28557 - -1684906/59. Calculate the common denominator of 131/96 and j.
5664
Let l = 22798 + -4058067/178. What is the common denominator of 111/56 and l?
4984
Calculate the least common multiple of 11 and (-8)/(-3)*(-2052870)/(-820).
73436
Suppose 19*s - 2068 = -548. What is the lowest common multiple of s and 1296?
6480
Suppose -23 = -l - 5*w, -w + 6*w - 5 = 5*l. Suppose -h = l*f + 2 - 9, -4*f = h - 9. Calculate the least common multiple of f and 18.
18
Find the common denominator of 26/(260/(-70)) - 1207/(-168) and 61/72.
504
Let r = 10 - 7. Let c be (-2)/((207/39 - 5)/(-2)). Suppose c*y = 423 - 150. Calculate the least common multiple of y and r.
21
Let a be (217/(-28))/((-4)/(-3152)) - -2. Let w = 97595/16 + a. Find the common denominator of -17/24 and w.
48
Suppose 0 = 17*v + 21*v - 17*v - 1470. What is the lowest common multiple of 250 and v?
1750
Suppose 4*l + 58*n - 25712 = 60*n, 4*l - 5*n - 25724 = 0. What is the lowest common multiple of l and 24?
25704
Let t = 10182456426 + -1099693862815/108. Let m = t - 105843. Calculate the common denominator of 35/3 and m.
108
Suppose -5*k = 3*c - 2, 3*k + 3*c = k - 1. Suppose 0 = 2*i, -i + 2 = -f + k. What is the common denominator of (-152)/12 + -3 - (-4)/f and -29/33?
33
Let i(k) = k**3 + 10*k**2 + 11*k + 4. Let f be i(-7). Let v be (-4)/18 - f/(-9). Calculate the common denominator of 14/3 and 8/v - 18/1.
3
Let h(m) = 23*m**2 - 12*m - 228. What is the lowest common multiple of 42 and h(-6)?
672
Suppose 3822*v - 673275 + 68884 = -1339*v + 138793. Suppose -134 = -o - 2*o - 5*k, o = -5*k + 38. What is the least common multiple of v and o?
144
Let u = -198220 + 168090607/848. Calculate the common denominator of u and 89/1696.
1696
What is the common denominator of 11*(-4273)/(-2970) + -16 and 25/54?
270
Let x = 5347/810 - 262/81. Find the common denominator of x and ((-104)/(-4 + -4))/3*4/(-41).
1230
Suppose -15*c + 3273 = -1512. Calculate the lowest common multiple of c and 116.
1276
Let i(s) = -s**3 - 9*s**2 - 19*s - 32. Let h be i(-7). Suppose -5*a = -15, 2 = 5*o - h*o - 2*a. What is the lowest common multiple of 4 and o?
4
Suppose 0 = -4*o + a -