Let r be (-2)/(-18)*1725/(-10). Let p = 179/12 + r. Calculate the common denominator of 49/46 and p.
92
Calculate the common denominator of -95/4 and (-108)/(-168)*-13*(-1)/6.
28
Suppose -3*t + 10 - 28 = -3*v, 5*t + 26 = 4*v. Suppose -v*r + 16 = -4*u, -5*r - 3*u + 0*u = -60. Suppose o + r = 33. Find the common denominator of -23/7 and o.
7
Let x(k) = 4*k - 6. Calculate the smallest common multiple of x(6) and ((-11)/(-1))/(2/4).
198
Let v(m) = -m**2 - m + 10. Suppose -13*q = -12*q + 3. Calculate the least common multiple of 8 and v(q).
8
Suppose i - 7 = -0. Let h(r) = -4*r**3 + 2*r**2 + 4*r + 1. Let d be h(3). Let a = -68 - d. What is the lowest common multiple of a and i?
63
Let h = 35 + -35. Suppose h = -4*g + 12, -6*n = -3*n + 4*g - 93. Calculate the lowest common multiple of 9 and n.
27
Let d = -22463/66 + 1016/3. Calculate the common denominator of -43/13 and d.
286
Suppose -16*d + 24 + 72 = 0. Calculate the smallest common multiple of (2 - 2) + 18*1 and d.
18
Suppose 14*j = 4*n + 11*j - 14, -2*j = -4*n + 16. Suppose -4*s + 2 = -2, 4*z + n*s - 185 = 0. Calculate the least common multiple of z and 24.
360
Let m = -1063 + 1102. Let p = 43 - 31. Calculate the lowest common multiple of p and m.
156
Let t be (-148)/(-20) - 7/(7/(-4)). Let x = -12 + t. Calculate the common denominator of -67/9 and x.
45
Calculate the common denominator of -67/12 and (-4 - -4)/(-4) + 21/38.
228
Let a be (-37)/3 + (-1)/(-3). Let t = a + 19. What is the lowest common multiple of -9 + 9 + 10/5 and t?
14
Let s(v) = -v**3 + 8*v**2 - 7*v - 4. Let g be s(7). Let w(o) = -94*o + 9. Let r be w(g). What is the common denominator of 89/6 and 3124/r + (-4)/(-14)?
30
Let p be (0 + -4)*(-4)/2 - -1. Suppose p = 5*m - 1. Calculate the least common multiple of 7 and m.
14
Find the common denominator of (1/((-2)/(-4)))/(60/51) and (-97)/21 + (-14)/21.
70
Let c(y) be the second derivative of -1/2*y**3 + 5/2*y**2 + 0 - 1/4*y**4 + 5*y + 1/20*y**5. What is the smallest common multiple of 9 and c(4)?
9
Let d(v) = 38*v**3 + v**2 - 11*v + 11. What is the least common multiple of d(1) and 9?
117
Let p = 3091/13176 - -3/488. What is the common denominator of p and 77/216?
216
Suppose 5 = 5*f + 4*j, -2*f = 7*j - 2*j - 2. Suppose 0 = 4*s - 3*s - f. Calculate the smallest common multiple of s and 5.
5
Let i = -166547/29480 - 3/5896. Find the common denominator of i and 121/24.
120
Suppose -3*z + 12 = 3*q, -q + z = -z - 10. Calculate the common denominator of -77/34 and (2/(-1) - (-70)/q) + 1.
102
Suppose 5*d - d - 80 = 0. Let j(x) = 3*x**2 - 96*x + 22. What is the lowest common multiple of d and j(32)?
220
Let t(c) = c**3 - 7*c**2 + 9*c + 2. Let k be t(5). Calculate the least common multiple of 1 + -1 + (1 - -1) and (-6)/(-9) + (-1)/k.
2
Let u = -461549/73104 + 5/4569. Calculate the common denominator of u and (-10)/132*(-203)/(-7).
528
Let g = -7482208/299 - -25024. Find the common denominator of g and 5/78.
1794
Suppose -4*y + 14 = -3*g, -29 = 5*g - 0*y - y. What is the lowest common multiple of 15 and g/15 + 304/30*3?
30
Suppose 0 = -k + 4*j - 8379, -k - 3*j - 4240 = 4132. Let t = -83661/10 - k. Let h = 2587/6 + -425. Calculate the common denominator of t and h.
30
Suppose 2*f + 258 = 3*x, 0 = -25*x + 29*x - f - 344. What is the least common multiple of 8 and x?
344
Let y = 55998/1295 + 246/185. Let m = y - 2689/63. Find the common denominator of m and ((-87)/36)/((-1)/(-9)).
36
Suppose -12 = 4*l, -5*n - 5*l + 2*l - 9 = 0. Suppose -6 = 3*k - n. What is the smallest common multiple of 11 and -2 - (2 + k) - -21?
209
Let j = 108/7 - 485/21. Find the common denominator of 2/4 + 294/(-36) and j.
3
Suppose -253 = -34*i + 359. What is the least common multiple of i and 960?
2880
Let k be (-134997723816210353)/(-385350) - 3/(-27). Let x = k + -350324961240. Let l = 2/27525 - x. What is the common denominator of -55/26 and l?
234
Let s(q) = 15*q + 20. Let h be s(-4). What is the common denominator of 2*-1 - 279/12 and (8 - 8 - -4) + (-1 - h)?
4
Let n(d) = 6*d - 4. Suppose 5*h - 128 = -3*h. Calculate the least common multiple of n(3) and h.
112
Let u be 1/((-1)/(-2)) - 2. Suppose -4*r = -2*m - 26, u*m - m + r - 11 = 0. Calculate the lowest common multiple of 16/72 + (-97)/m and 8.
88
Let y be 7 + 9/(-3) + 7. Let n be 1 + (y - 4/1). What is the common denominator of -1/4 and (-38)/12*(-1 - n)?
4
Let x(b) = b**3 - 7*b**2 - 3*b + 8. Let i be x(7). Let z = -11 - i. Suppose 0*g + n + 29 = z*g, 0 = -n - 1. Calculate the least common multiple of 34 and g.
238
Suppose 0 = -3*r + 41 + 43. Let i = r - 52. What is the common denominator of i/(-132) + (-3214)/132 and 101/4?
12
Let a be (-9)/42*(-2)/(-36). Let q = 493/42 - a. Let n = -7 - -25. Find the common denominator of n and q.
4
Let o be (317 + (-3 - -1))/(-1). What is the common denominator of ((-6)/10)/(6/o) and 1089/(-324) + (-1)/4?
18
Calculate the common denominator of (-12)/(-15)*((-35)/(-4) + 4) and (134/16)/((-12)/(-16)).
30
Let j = 27 - 11. Find the common denominator of 91/4 and ((-120)/j)/((-81)/51).
36
Let a = -66213/4 - -17931. Suppose 0 = 3*g - 1851 - 2250. Let d = g - a. What is the common denominator of d and -33/7?
28
Let q = -347 - -351. Suppose b + 15 = 2*h, 0 = h + 3*h + 5*b - 9. Suppose q*k + h - 22 = 0. What is the least common multiple of k and 2?
4
Suppose 75 = 7*n - 2*n. What is the common denominator of -51/20 and (-21)/6 + n/25?
20
Suppose 2*g = g + 5. Suppose -28 = -g*v + 62. Let x = v - 14. Calculate the smallest common multiple of x and 7.
28
Suppose 4*r + 8*y - 11*y - 28 = 0, 5*y = -3*r + 50. Calculate the smallest common multiple of r and 114.
570
Let g be (-9 + (-3657)/(-405))/(26/5). Let i = 3/19523426 - 12908739253/1054265004. Let t = g - i. Calculate the common denominator of t and -9.
4
Let i(y) be the third derivative of y**4/24 - 5*y**3/6 - y**2. Let j be i(8). Suppose 40 = -j*z + 5*z. Calculate the lowest common multiple of 4 and z.
20
Let c = 63 + -41. Suppose -4*u - 3*i + 94 = -0*u, -5*u + 121 = 2*i. Let d = 35 - u. Calculate the smallest common multiple of c and d.
110
Suppose 4761 = 17*o - 4623. Calculate the smallest common multiple of o and 22.
6072
Suppose -s - 5 = 0, 3*h - 2*s + 3*s - 178 = 0. Calculate the lowest common multiple of h and 6.
366
Find the common denominator of 43/147 and 0 - (-694)/(-90) - 381/(-635).
441
Let m = 756 + -696. What is the least common multiple of m and 70?
420
Let n(w) = 3*w**2 - 4*w + 3. Calculate the lowest common multiple of ((-10)/(-3))/(540/648) and n(3).
36
What is the lowest common multiple of 6/30*(22 + -12) and 10?
10
Suppose 37 = -3*k + 25. Calculate the smallest common multiple of 118 and 334/14 + 2/14 + k.
1180
Let x(h) = -4*h + 34 - 15 - 17. Let p be x(-1). Calculate the lowest common multiple of (-72)/(-27) - (-8)/p and 10.
20
Suppose 3*f - 36 = 4*r, -5*f + 54 - 20 = 2*r. Suppose 0 = -5*n + 4 + 6. Calculate the lowest common multiple of f and 306/30 - n/10.
40
Find the common denominator of 1446/(-108) + (-12)/27 and 24/5.
30
Suppose -14*q = 2*w - 10*q - 290, 5*w - 4*q = 655. What is the smallest common multiple of w and 5?
135
Calculate the lowest common multiple of 12 and (-20)/(-70) - (0 + (-3708)/7).
3180
Let c = -12 + 20. Let b be 28/(-8)*c/4. Let u = 3 - b. What is the lowest common multiple of u and 8?
40
Let o be (-3 - (-15)/6)*-6. Suppose -o*g - 72 - 69 = 0. What is the common denominator of -81/22 and g/12 + -1 - 0?
132
Suppose 26*t = 33*t - 350. Calculate the least common multiple of t and 70.
350
Let o(w) = w**2 - w + 4. Let n be o(0). Suppose n*k = -10 - 18. What is the common denominator of (-61)/40 + k/(-56) and -47?
5
Let c(l) = l**3 - 2*l**2 - 1. Suppose -11 - 10 = -7*a. What is the lowest common multiple of c(a) and 3?
24
Let c = 2369769/6528590 - -6/34361. Let l = 2/67 + 3141/268. Find the common denominator of l and c.
380
Suppose -4*t = w - 9, 3*t = 5*t - 4*w. What is the least common multiple of t and 16 + 2 - 4/2?
16
Suppose 0 = 5*j - 59 + 19. Suppose -m = m - 12. Calculate the smallest common multiple of j and m.
24
Suppose 10*q - 1 = 69. Calculate the smallest common multiple of q and 10.
70
Let o = 593 - 4171/7. What is the common denominator of 187/546 and o?
546
Let b = -357335129/434274 - -1/72379. Let q = b + 99037/120. What is th