ulate the common denominator of (12/w)/(27/97) and v.
72
Let k be (4 + -2)*24/16. What is the common denominator of 498/24 + k/(-6) and (234/(-30) - -7)*(-20)/(-11)?
44
Let s = 24454 - 24445. Calculate the lowest common multiple of s and 3664.
32976
Suppose 3*f + 2924 + 112 = 3*g, -4*g + 4020 = 3*f. Let j be (g/(-90))/((-2)/(-20)). Let r = j - -118. Calculate the least common multiple of r and 27.
54
Let k be 13/(106314/(-12))*(-9)/(-2). Let i = -156853/16356 - k. What is the common denominator of i and (-20)/(-28)*17/2?
84
Let f(c) = c**3 + c**2 - 49*c - 28. Calculate the smallest common multiple of 180 and f(7).
1260
Suppose 2*c - l - 76 = 0, 5*l + 129 = 2*c + 69. Suppose -3*f = -4*d - 181, 5*f + 36 = 4*d + 327. What is the least common multiple of f and c?
440
Let j = 3571/3 - 5415/4. Let g be ((-9478)/12)/(2 + -1 - -4). Let z = j - g. What is the common denominator of 47/14 and z?
140
Calculate the common denominator of 9 - (11 + 6 + -3) - (-6758)/1365 and -46/165.
15015
Let i(a) = -21*a**3 + a**2 + 3*a + 2. Let w = -31 - -29. Let z be i(w). Find the common denominator of (-743)/z - 1/(14/4) and -47/18.
72
What is the common denominator of (7/(-315))/(-69*44/11979) and 33/2300?
6900
Suppose 4*s = -2*q + 371168, 5*s - q - 627811 + 163858 = 0. Let g = s + -5567327/60. Find the common denominator of g and 111/44.
660
Let u(v) = 1199002*v**3 + 3*v**2 - 3*v + 1. Let k be u(1). Let s = -8406669/7 + k. Let l = 1953 + s. What is the common denominator of l and -7/12?
84
Suppose 5*m = -2*h - 26, 2*h + 0*m + 4*m = -22. Calculate the common denominator of -89/664 and (303/(-14))/(h + 7 - 1).
4648
Let v = -63648/121 - -526. What is the common denominator of v and -64/55?
605
Let u(y) = 52*y + 203. What is the lowest common multiple of u(4) and 3?
411
Suppose -46*d = -904 - 7146. What is the least common multiple of 98 and d?
2450
Let f be 880/25 + 2/(-10). What is the common denominator of 343/f*10/(-16) and 407/110 - (-1)/(-5)?
8
Let m = 10069 - 8522. What is the lowest common multiple of m and 52?
6188
Suppose 4*i = 4*s - i - 59, 3*s + 2*i = 27. What is the common denominator of (-42)/36 - 22/s and 15/4?
12
Let g = -151 + 153. Let c = g - -94. What is the smallest common multiple of 24 and c?
96
Suppose 7*p = -5*p + 48. Suppose 0 = -d + 1 - 0, -d - 71 = -p*h. Calculate the least common multiple of 198 and h.
198
Suppose -5*m + 9775 = -5*s, -4*s - 2*m + 1130 - 8938 = 0. Let l = s - -19463/10. Find the common denominator of (-141)/(-20) - (-244)/(-61) - 3 and l.
20
Calculate the common denominator of ((-2 - 4) + (-663)/(-108))*57 and (2/(-103))/((-36)/(-117)).
1236
Let d be (-3 - -7 - 6) + 580554/(-5474). Let q = -11442102419/105601671 - d. Let b = q - 2/1429. What is the common denominator of 109/18 and b?
54
Suppose -3*t = -l - 13, -4*l + 4*t = -l + 14. Let i = -27 + 41. Let f = i + -7. Calculate the lowest common multiple of f and l.
14
Let l = -107 + 87. Suppose -4*g + 28 = 12. Let n = l - g. Find the common denominator of n and 33/19.
19
Let h = 919718/21 - 541755/14. Let b = 5099 - h. Find the common denominator of b and 47/48.
336
Suppose -21 = 10*g - 13*g. What is the smallest common multiple of (-20)/(-50) + (-165)/(-25) and g?
7
Let f = -69 - 5. Calculate the smallest common multiple of 1 and (-6)/20*-38 - f/(-185).
11
Suppose 4*v = -5*d + 1, 5 = d + 3*v - 7*v. Let w be 7 + -5 - ((-172)/(-115))/d. Let h = w + 757/460. Calculate the common denominator of 115/18 and h.
180
Suppose -149 = -6*c + 355. Let a be 18/(-42) + (-518867)/c. Let q = a - -6187. Find the common denominator of -91/4 and q.
12
Let p be 4/(-22) - (468592/506)/2. Let c = -464 - p. Let i = c + 289/46. Calculate the common denominator of 65/21 and i.
42
Let w = -4402733196319815/13613606594458886 + -436844/1258766879. Let m = w + 1/77806. Find the common denominator of -89/6 and m.
834
Suppose 2*k - 105 + 95 = 0. Calculate the smallest common multiple of k and (-6 + 0)*2/(-4).
15
Let j be (6 + (-42)/6)/1*-326. Let o = j - 323. Calculate the lowest common multiple of o and 164.
492
Let n(t) = 66. Let s(k) = k - 329. Let d(w) = 11*n(w) + 2*s(w). Calculate the least common multiple of 44 and d(-16).
396
Let y be (3/(-2) + 1)/(35/627900). Let l = y - -125639/14. What is the common denominator of 79/80 and l?
560
Suppose 323*r = 334*r - 1562. What is the least common multiple of r and 14?
994
Let j be (9/6)/((-9)/(-30)). Suppose 75 = j*h - 5*z, 0*z = -2*h + z + 30. Calculate the least common multiple of 25 and h.
75
Let g be (-1813633)/163140 + ((-20)/75)/2. Let d = 1/2719 + g. What is the common denominator of d and 38/(-80) - (-2)/(-4)?
40
Let j be 0 + 1 + (2 - 1). Suppose 30 = 5*n - r, 0 = -4*n + j*r - 6*r + 24. Calculate the least common multiple of n and 40 - 1 - (-6913)/(-125 + -98).
24
Let t be 7/((-7)/183) + 3. Let o = t - -187. Calculate the lowest common multiple of 66 and o.
462
Let n(h) = 13*h**2 - 10*h + 9. Suppose 8*v - 9 = -v. Calculate the least common multiple of n(v) and 36.
36
Let k = -1421/230 + 492/115. Let a = 39/2 + -43. What is the common denominator of k and a?
10
Let t be 87/2 - (-6)/12. Suppose 6*f - 6 = 3*f, -4*j - 4*f = -t. Let y = 216 + -183. What is the lowest common multiple of y and j?
99
Let g be ((-3)/1)/(((-20)/4646)/(-10)). Calculate the lowest common multiple of 14 and g/(-621) - ((-7)/9 + 1).
154
Calculate the common denominator of 43/10 and 2/18*-1449*6/(-2340).
390
Suppose 6*i + 2*c + 2274 = 9*i, 3*c - 9 = 0. What is the smallest common multiple of i and 2090?
8360
Let g(u) = -u**2 + 190. Suppose -5*b - 4*i = -1116, -439 - 649 = -5*b + 3*i. Suppose -4*x - b = -14*x. Calculate the smallest common multiple of x and g(0).
2090
Let v(r) = 5*r**2 - r - 2. Let i = 49 - 53. Let x(q) = 3*q**2 - 1. Let a(c) = i*v(c) + 7*x(c). What is the least common multiple of a(-7) and 20?
220
Let c be 534/135 - (1 + 1). Let o be ((-33)/(-990))/((-3)/528*2). Let i = o - c. Calculate the common denominator of i and -40/17.
153
Let w = 6043 + -5883. Calculate the lowest common multiple of w and 45.
1440
Suppose 4*z + 2*i - 1 = 3, -z - 2*i - 2 = 0. Find the common denominator of -37/7 and (0 + z)/((-95)/399).
35
Let s(j) = j**3 + 17*j**2 - 61*j - 18. Let u be s(-20). Suppose 2*l = u*k + 128, -5*l + 2*l - 5*k = -232. Calculate the least common multiple of 48 and l.
1104
Let i be 86 + (-12)/(-3)*(-25)/(-20). Let m = -79 + i. What is the least common multiple of m and 33?
132
Let f(p) = -3*p**2 - 25*p - 6. Let m be f(-8). Suppose m - 11 = -3*x. Suppose -100 = -13*q + x*q. Calculate the lowest common multiple of q and 6.
30
Let r(g) = -g**2 + 96*g - 1829. Calculate the lowest common multiple of r(27) and 884.
884
Let t(c) be the third derivative of -c**5/30 - 7*c**4/8 - 26*c**3/3 - 170*c**2. What is the least common multiple of t(-6) and (-4)/6 + (-76)/(-6)?
12
Let z = 163 - 114. Let q = 55 - z. Suppose -q*j + 97 = -29. What is the lowest common multiple of 9 and j?
63
Let g = 4728 + -4724. What is the lowest common multiple of g and 135?
540
Let b = 15463/8 - 1943. Let y be (-1)/(-59 - (0 + 3)). Let o = -659/496 + y. What is the common denominator of b and o?
16
Let b(w) = w**2 - 12*w - 27. Let i be b(14). What is the common denominator of -45/26 and 1270/(-100) + (i - 0)?
130
Suppose -270 = 45*y - 40*y. Let u = y - -51. Calculate the lowest common multiple of 3 and -2 + 2 - ((-24)/u)/(-2).
12
Suppose 2*y - 8 = z, 2*y + z - 9 = -5. Suppose -y*m + 334 = -q, 2*m + 0*m - 5*q - 201 = 0. Let g = -112 + m. Calculate the smallest common multiple of 8 and g.
8
Let y(l) = l**2 - 12*l + 31. Let g be y(8). Calculate the smallest common multiple of (-2)/2 + 73/(2 + g) and 2.
72
Let w = -113 + 110. Calculate the common denominator of (532/120)/19 - w and -59/21.
210
Let w = -18/14095 + 578543/507420. Let f = 1/902 - -55849/67650. Calculate the common denominator of w and f.
900
Calculate the common denominator of (0/(-1) - 4/608)*1054/248 and -29/104.
7904
Let k(d) = d**3 - 28*d**2 - 29*d + 6. Suppose 80 = 4*o - 36. What is the least common multiple of k(o) and (-1)/((-2)/10) + 2?
42
Let o = 2241/220 + -19/220. Find the common denominator of 20/50 - 134/(-20) and o.
10
Calculate the common denominator of -89/588 and (-20)/20 - (-1)/48*193.
2352
Calculate the common denominator o