e (-4 + 32/12)/(3/18). Find the common denominator of 22/5 and (3/y)/3*2988/(-415).
10
Suppose -j + 1 = -7. Let v = -271237 + 271243. What is the smallest common multiple of v and j?
24
What is the lowest common multiple of (1 + (-14)/26)*(37 - -2) and 11?
198
Let h = -2305 + 6942. Let b be 6 - 8 - ((-1886133)/24)/(-17). Let l = h + b. Calculate the common denominator of -17/2 and l.
8
Let w = 101 - 95. Calculate the common denominator of 94/30 - (w + -3) - 2 and ((-92)/(-18))/((-6)/9).
15
Let u(l) = 32*l + 296. Calculate the lowest common multiple of 96 and u(-6).
1248
Calculate the common denominator of -55/1986 and 1/(45/97)*(45 - 2001/46).
9930
Let w = 3399 - 2847. Calculate the lowest common multiple of w and 10.
2760
Let f be (6973/(-62582))/(1/(-5)). Let q = f + 50/1079. What is the common denominator of (-390)/(-28) - (162/(-18) - -17) and q?
406
Calculate the smallest common multiple of 4096 and ((-24)/3)/(1/12 + (-24)/32).
12288
Let u be (21/(-9) - -3) + (-6)/45. Let z = u - 31/12. Calculate the common denominator of z and 37/180.
180
Let p = -72 + 67. Find the common denominator of 2/((p/(-24))/5) and (-74)/(-11)*(-3)/(-6).
11
Let r = 1 - 0. Let z(u) = -u**3 - 33*u**2 - 250*u + 47. What is the smallest common multiple of z(-21) and (-1 - r)/((-4)/22)?
55
Let n(p) = -135*p - 651. What is the smallest common multiple of 216 and n(-5)?
216
Let w = 561995/18 - 31230. Find the common denominator of -91/2472 and w.
7416
Let d = -13/929 + 459069/10219. Let w = -1867/33 + d. What is the common denominator of 51/7 and w?
21
Suppose 6*x = x + 70. What is the smallest common multiple of 45 - ((-201)/402 + (-3)/2 + 1) and x?
322
Suppose -500 = 550*o - 560*o. Let c(m) = m**2 + 4*m + 1. What is the least common multiple of c(-5) and o?
150
Find the common denominator of (-2)/(-880)*3315/78 and 101/528.
528
Suppose 13*d + 24 = 19*d. Suppose -v = -5*l + 64, -58 = -3*l + d*v - 6. What is the least common multiple of 10 and l?
60
Let j be (0 - (2 - 3))/((-16)/538). Let v = j - -9671/280. Calculate the common denominator of 59/20 and v.
140
Let y be ((-22)/(-8))/(6/432*6). Suppose -107 = -34*g + y*g. Let q = g + -47. Calculate the least common multiple of q and 8.
120
Calculate the lowest common multiple of 266790/1140 + 22/(-836) and (-1)/(((-1)/(-18))/(-1)).
234
Suppose 0 = 14*v - 20*v + 7*v - 2925. Suppose 0 = 5*n + 2022 - 22672. Calculate the common denominator of -5 - (-7)/(n/v) and -13/10.
590
Let w(u) = 26*u + 475. Calculate the least common multiple of 21 and w(37).
10059
Let x = -6 - -23. Suppose -4*z - x + 21 = 0. What is the lowest common multiple of z and 23?
23
Let p be 1 + (-44)/36 + 43040/9. Suppose -2*c - p = -1198. Let u = -17863/10 - c. Calculate the common denominator of u and 65/9.
90
Let s be 321/(-80) + -8*1/(-2). Let i = s + -2477/240. Let v = -37/51 + 1265/408. Find the common denominator of v and i.
24
Suppose 4*u + 2*o - 3*o + 2432 = 0, u = 4*o - 593. Let l = -546 - u. Calculate the lowest common multiple of 28 and l.
252
Let k = -319013/16 + 19937. Calculate the common denominator of k and (3/4 + -1)*-79.
16
Let u(k) = -k**2 + 9*k + 10. Let i be u(9). Let q = i + -14. What is the lowest common multiple of (q/(-10))/((-2)/(-40)) and 12?
24
Suppose 2*c = -4*w + 86, 2 = 3*c - 1. Let b(j) = j**2 - 30*j + 231. Let g be b(14). Calculate the lowest common multiple of 56/g + -3 - -16 and w.
21
Suppose -279*i + 312*i = 8745. Calculate the smallest common multiple of 1060 and i.
1060
Let b = 157 - 114. Find the common denominator of (-1 + 100/5)*(-1)/b and 17/5.
215
Let u be 649/(-77) + 8/(-14). Let h = 121375/21 + -5778. What is the common denominator of h and (-102)/(-42)*(-3)/u?
21
Let v be ((-8)/(-5))/((-1)/(-5)). Let y be 558/10 + 1 + (-16)/20. Suppose -v*f + y = -0*f. Calculate the lowest common multiple of 5 and f.
35
Let q = -508963/212994 + 8/11833. Let i be 6726/8 - (-2)/8. Let m = -3383/4 + i. Calculate the common denominator of m and q.
36
Let r be ((-2)/4)/(19/(-152)). Let h(f) = 1. Let o(v) = -8*v + 10. Let d(u) = 8*h(u) - o(u). Calculate the lowest common multiple of 12 and d(r).
60
Suppose -4*o + 99 - 63 = 0. Calculate the common denominator of o/(-12)*(-500)/(-30) and -139/60.
60
Calculate the common denominator of -13/27 and (-1)/(-3)*1*((-87)/(-135) + -2).
135
Let w = -60 + 700. Suppose w = 18*o - 2*o. What is the lowest common multiple of o and 48?
240
Suppose -14*x + 4*u = -9*x + 1788, x = -4*u - 372. What is the common denominator of 88/135 and 7 - (-292)/x - 5?
270
Let f = 16/405 + -20147/810. Let n be (-20)/6 + 60/(-90) + 6. Calculate the common denominator of f and 668/(-112) + (20/(-35))/n.
12
Let v(o) be the third derivative of -o**4/12 + 22*o**3/3 - 5*o**2 - 2. Let g be v(17). Calculate the common denominator of 29/12 and -4 - (-170)/56*g/15.
84
Let l be (-9)/(-1908)*(-8573234812)/(-1589402). Let g = 1/794701 - l. Let w = -50/53 - g. Find the common denominator of 81/14 and w.
14
Let h(f) = -389*f**3 - 2*f**2 - 2*f + 1. Let m be h(2). Suppose 8*q - 72 = 17*q. Find the common denominator of 61/9 and (-1)/q - m/72.
18
Let x = 4875 - 4741. Calculate the smallest common multiple of 536 and x.
536
Calculate the common denominator of 11/6 and 55/7810*(-279)/(-6).
852
Let n(q) = -q**2 - q + 2. Let g be n(-3). Suppose -4*r = -2*x - 1716, -143 = -r - 3*x + 279. What is the lowest common multiple of g/(-24) - r/(-24) and 12?
36
Let g(d) = -2*d**2 + 86*d + 602. Calculate the least common multiple of 175 and g(-6).
350
Let v = 42 - 38. Let z(x) = -x**2 - 12*x + 9. Let d be z(-12). What is the lowest common multiple of v and d + (2 - 1) + -4?
12
Let a be (17 - 7)*79/(-2). Let n = -1968/5 - a. Calculate the common denominator of (-39)/(-338)*14/6 and n.
130
Calculate the lowest common multiple of 45 + (-14 - 60/(-12)) and 33.
396
Let r(o) = 35*o - 694. What is the lowest common multiple of 1602 and r(20)?
1602
Let n be (6/(-5))/((-3)/10). Suppose 0 = 35*h + 47*h - 7060 - 25166. Find the common denominator of (h/(-4))/(5 + n) and -65/22.
132
Suppose 5*q + 3353 = a, -q = -2*a + 5*a - 10091. Let i = a + -47139/14. Find the common denominator of i and (-444)/120 - (-4 + -8).
70
Let b = -262791/68170 - -131/34. Let u = b - -5722/54135. Calculate the common denominator of 32/21 and u.
945
Let l(s) = s**3 - 31*s**2 + 59*s - 17. Let t be l(29). Suppose 3*x - 36 = t. What is the least common multiple of 72 and x?
144
Let m = -15366 - -15910. Calculate the least common multiple of m and 12.
1632
Let p = -822738/711968975 + 1322018384718884983/6401313054225. Let q = p + -206523. Let i = -431534/152847 - q. Calculate the common denominator of i and -83/2.
34
Calculate the common denominator of 7 - (-2795)/(-1250) - (-36)/(-8) and 374/210 - (-6)/21.
375
Suppose -8 = x, 2*i - 708 = -4*x + 4336. Calculate the least common multiple of 517 and i.
27918
Suppose 244 = 4*h + 12. Calculate the smallest common multiple of h and (-2)/((-75)/(-125) - ((-1599)/(-240) + -6)).
928
Let d = 4337/11 + -4176740/10593. What is the common denominator of -109/1284 and d?
3852
Let c be 1/(-2)*6 + 5. Suppose 0 = 2*z + c*z + x - 157, -x - 3 = 0. Let y = 593 + -575. What is the lowest common multiple of z and y?
360
Let d(y) = 5*y**2 - 21*y + 10. Calculate the least common multiple of d(4) and (12/9)/(1 - 28/36).
6
Let t(h) = -24*h**2 - 4*h + 10. Let l be t(-3). Calculate the common denominator of -31/92 and 47 + -55 - l/48.
552
Suppose 252 = 8*v - 2*v. Let j be (2 + (-10987)/5)*1433/v. Let f = -74903 - j. Calculate the common denominator of 77/16 and f.
560
Let n be (7 - 5968/(-24))/((-3)/9). Let x = 815 + n. What is the lowest common multiple of 12 and x?
48
Suppose -4*c = -41 - 7. Let g be 2*54/12*(-10)/(-18). Suppose -3*t + m + 17 = 0, 14 = 5*t + g*m - 21. Calculate the smallest common multiple of t and c.
12
Suppose 0 = -433*a + 425*a + 40. Suppose -4*y + 3*q + 69 = 17, 5*q = -a*y + 65. What is the smallest common multiple of 1 and y?
13
Let v = 187687/1502806 + -182/1609. Find the common denominator of v and -42/5.
4670
Let b(x) = 2*x**3 + 16*x**2 - 2*x - 18. Let d be b(-8). What is the least common multiple of 1 + (-1)/4*-4 and (-8 - -9) + (-58)/d?
30
Let i = 83131/54110 + -6/773. Calculate the common denominator of -34/1981 and i.
19810
Let u(d)