et z = -14/1095 + -1697/876. Let u = 2/30169 - -3409069/422366. Calculate the common denominator of u and z.
140
What is the smallest common multiple of 38 and (513/(-1197))/((-3)/28)?
76
Let o = -69 + 68. Let n be o - (37/2)/(3/(-6)). Suppose 31*a = n*a - 20. Calculate the lowest common multiple of 16 and a.
16
What is the least common multiple of 8985 and 3*(-7)/4*(-88)/66?
62895
Let q = 3959/17220 + -11/123. Calculate the common denominator of q and 167/480.
3360
Suppose 7*a - 3*a + 12 = 0. Let m be a/((-3)/(-5)*20/(-8)). Suppose -8 = -3*v - 0*y - 2*y, 0 = 2*v - m*y - 12. What is the least common multiple of 22 and v?
44
Find the common denominator of 121/1330 and (0 + -13)*(-11)/(-30).
3990
Let u = 932 - 4676/5. Let o = 49019 - 1372639/28. Find the common denominator of u and o.
140
Let l = -116407/36926176 + -28/9697. Calculate the common denominator of l and 143/4896.
34272
Let t be (-40)/80*(-1 - (-955)/953). Let f = t + 40989/9530. Find the common denominator of -42/37 and f.
370
Let a(v) = -5*v**3 + 37*v**2 - 30*v - 78. Let l(g) = -2*g**3 + g**2 - 1. Let w(t) = -a(t) + 3*l(t). What is the least common multiple of w(-35) and 16?
2000
Suppose 36 = 3*w + 30. Suppose 0 = 3*c + c - 12, w*d + 4*c = 60. Suppose d = 6*i - 2*i. What is the least common multiple of i and 8?
24
Let a be 0*(25/(-15) - -2). Suppose 3*i + 5*i - 56 = a. Calculate the smallest common multiple of 9 and i.
63
Suppose 0 = 4*k - 17 - 323. Let q = -250/3 + k. Let l = -217/24 + q. Find the common denominator of -85/6 and l.
24
Let j = 574/67 - 8168/1407. Calculate the common denominator of j and 29/852.
5964
Suppose -b = -1 - 10. Let v(m) = -m**2 - 6*m + 8. Let w(x) = -x**3 - 10*x**2 + 12*x + 6. Let p be w(-11). What is the smallest common multiple of v(p) and b?
143
Let z = -139 + 141. Suppose 4*j + z*g - 14 = 0, -4 - 36 = -5*j + 5*g. Suppose -2*m = 3 + j, -5*m = 4*q - 44. What is the lowest common multiple of q and 8?
16
Let f = -17817722/1851 + 9626. Let n = 13984/617 + f. Find the common denominator of n and (10 - -2)/(-9 - (-306)/48).
21
Suppose 848 = -14*q + 260. Let z = 404 + q. Calculate the smallest common multiple of 8 and z.
1448
Suppose -4*m + 2*n = -22, m + 3*n = -4*m. Calculate the common denominator of -1 - m - (-940)/250 and -20/13.
325
Suppose 2*d - 8 = 16*n - 17*n, d = n + 1. Suppose n*s = -5*b + 181, 251 = 4*s - 2*b - 51. Calculate the smallest common multiple of s and 91.
546
Suppose -5*r + r - v + 21 = 0, 5*v + 39 = 4*r. Suppose d + 3*u - 15 = 0, -3*u + 8*u - 25 = 0. What is the lowest common multiple of r and 4 - d/(-3 - -1)?
12
Let p = -19 + 18. Calculate the common denominator of ((-150)/63)/5*p/(-2) and 35/3.
21
Let t(m) be the first derivative of -m**4/4 + 4*m**3/3 + 11*m**2/2 - 36*m - 58. What is the least common multiple of 6 and t(3)?
6
Let s be 27937/40 - 6/(-30). Let d = -676517/968 + s. Calculate the common denominator of (-4)/(-14) - 578/(-84) and d.
726
What is the least common multiple of 40 and -10*1/(65/(-156))?
120
Let f(y) = 2*y**2 - 67*y + 562. Calculate the lowest common multiple of 1828 and f(18).
1828
Suppose -15 = 3*v - 3*f, 19 = -4*v + 2*f + 5. Let h = 14 - v. Suppose 6*k - h - 20 = 0. Calculate the least common multiple of k and 1.
6
Let h = -16539 + 16647. Calculate the smallest common multiple of h and 4.
108
Let b be (147/98)/(3/(-2858)). Let w = 7196/5 + b. Let u = 559 + -16717/30. Calculate the common denominator of u and w.
30
Let q = 3709/33660 + -19/3366. What is the common denominator of q and 121/24?
1320
Let o = 1970437/6 - 326254. Let i = -2165 + o. Find the common denominator of 13/3 and i.
6
Suppose -5*s + 231 = n, 0*n - 3*n = 3*s - 657. What is the common denominator of (4/6)/(40/(-192)) and (n/176)/(4 - 1)?
110
Let z(x) = -4 - 12*x + 5*x**2 - x**3 + 18*x + 3*x. What is the smallest common multiple of 56 and z(6)?
56
Suppose -h + 30 = -6. Let g = 52835/24 - 2205. Calculate the common denominator of g and (50/(-24))/(4/h).
24
Let i be ((-4969)/4)/((-329)/7379). Let m = i + -27859. Calculate the common denominator of m and 109/108.
756
Let f = 7163/12111 - 28/367. Find the common denominator of f and (12/108)/((-46)/2162).
99
Let c(k) = -k**3 + 8*k**2 - 11*k - 13. Let b be c(6). Let z = -899 - -14373/16. Find the common denominator of ((-99)/(-132))/(b/6) and z.
112
Suppose 0 = 2*q - 4*q + 24. Let m = -6905/4 + 1736. Calculate the common denominator of m and (-3 + 9/2)/(q/(-16)).
4
Suppose 4*n = -x + 23 - 9, 4 = 2*x - 4*n. Calculate the common denominator of 151/30 and (330/(-4224))/(x/52).
480
Suppose -7*m = 3783 - 276. Calculate the common denominator of -38/11 and 8/(-6) + (-2)/765*m.
935
Let a = 146 + -155. Let n = -27 + 54. Calculate the lowest common multiple of a/((-36)/8 + 3) and n.
54
Let t = 12483/35 + -530469/280. Let y = -110227/72 - t. Find the common denominator of y and (-2)/(-7) - 2019/(-210).
90
Let k(r) = 1178*r + 95. What is the least common multiple of 737 and k(1)?
14003
Let o be 3 + -3 + (-48)/(-6). Suppose -7*l + 64 = o. Calculate the least common multiple of 34 and l.
136
Suppose 4*h = -2*h + 60. Suppose 3*x - 4*y + h = -7, 3*x = 2*y - 7. Suppose 2*l - 29 = -x. Calculate the lowest common multiple of l and 6.
42
Let c = 10 + -6. Suppose 0 = -w - 5*z + 50, 3*w - 214 = -3*z + c*z. Let b(x) = 6*x - 238. Calculate the least common multiple of w and b(41).
280
Find the common denominator of 12/175 and 642162/(-5386500) - (-8)/108.
1750
Let t be (-2)/(-17) - (-21432)/(-102). Calculate the lowest common multiple of (t/(-45))/(2/9) and 9.
63
Calculate the common denominator of -119/1152 and (10 - (-3 + 1151355/86400)) + 1/5.
1152
Let q = 736/17 + -19819/510. What is the common denominator of q and (-36)/(-66) - 6645/990?
30
Find the common denominator of 181/30 and (-568)/60*(4/8 - 0).
30
Let z = -10965/7 - -1569. Let t be (7 - 310)/(27/6). Let a = 70 + t. Find the common denominator of z and a.
21
Let l = -12631385995/6455976 - 2/268999. Let q = -1958 - l. What is the common denominator of 4*2/(-36)*-3 and q?
24
Let b(r) = -10*r**3 - 15*r**2 - 10*r + 18. Let x be b(9). Let y = 102787/12 + x. Calculate the common denominator of 51/20 and y.
60
Suppose 2*z + k = 244, -23*z - 4*k + 256 = -21*z. Calculate the smallest common multiple of 285 and z.
2280
Let x be 3 + 2/(-1) - (-8677970)/600. Let q = 14465 - x. Calculate the common denominator of -11/60 and q.
60
Let f = 36415 + -36412. What is the smallest common multiple of 12 and f?
12
Suppose 9*s = -2*s + 297. Let c(n) = 2*n**2 - 55*n + 29. What is the least common multiple of 38 and c(s)?
38
Let p = 21 + -13. Let u be (1 + 9/12 - -2)*16. Suppose -28 = 4*z - u. What is the least common multiple of z and p?
8
Let l be (-910)/244 + 5 - (-12)/(-8). Let d = l + -5129/244. What is the common denominator of -101/98 and d?
196
Let m be 0/1 + 75 + -80. Let a(b) = -b**2 - 20*b - 59. Calculate the lowest common multiple of 36 and a(m).
144
Suppose -6*p - 6 = -3*p. Let z(d) = 7*d**3 - 2*d**2 + 4*d + 6. Let i be z(p). Let k = -44 - i. What is the lowest common multiple of k and 12?
132
Let a be 1/(-4) - 7205/(-20). Suppose a + 250 = -5*u. What is the common denominator of 101/12 and 76/(-209)*u/(-16)?
132
What is the common denominator of 19/18 and 48/(-36) - (-6114)/3708?
1854
Let i = 195905/109984 - -1/27496. Find the common denominator of i and ((-2)/(-36))/((-64)/(-1644)).
96
Let m(u) = 8*u**2 + 18*u + 36. Let q be m(-6). Calculate the least common multiple of 12 and q/63 - 8/(-14).
12
Let q(s) = s**2 - 11*s + 9. Let i = 366 - 331. What is the lowest common multiple of q(11) and i?
315
Suppose -67*c = -79*c + 204. Calculate the lowest common multiple of 43 and c.
731
Let h = 211 - 201. Calculate the common denominator of -29/11 and (72/112)/(13/h - 2).
539
Suppose -v + 23 = -z, 2*z + 82 = 4*v + 3*z. Let a(w) = w**2 - w. Let h be a(-1). What is the lowest common multiple of (1 + h/6)/(2/v) and 22?
154
Suppose 27*t - 140*t + 70253 = 25166. What is the lowest common multiple of t and 228?
1596
What is the common denominator of -131/60 and (-515)/(-15)*((-33)/11)/(-960)?
960
Let c = 71611 - 860081/12. Let w = -669546 + 22097044/33. Let n = w + c. Find the common denominator of n and -43/18.
396
Suppose -3*q + 2*o - 39 = -0*q, q + 21 = -2*o. Suppose 3*h + 16 