463 - 456. Let s(d) = 5*d**2 - 34*d + 7. What is the smallest common multiple of s(r) and 70?
70
Suppose 2*k + 35*v - 204 = 40*v, 4*k - 408 = -2*v. What is the smallest common multiple of 468 and k?
7956
Let t(g) = -11*g - 3. Let l(o) = 10*o + 2. Let m(p) = 4*l(p) + 3*t(p). Let c be m(-1). Calculate the common denominator of -40/7 and 21/(-84) - c/6.
84
Let z be (4 - (-1 - -8)) + 9. Let w = z - -7. Calculate the common denominator of (-70)/46 - (13 - w) and -27/4.
92
Let v = 831587/7298676 + 7/115852. What is the common denominator of v and -76/105?
3465
What is the smallest common multiple of 23355/36 - 3 - (-7)/(-4) and 920?
6440
Suppose -5*y - 9984 - 1716 = 0. Calculate the common denominator of ((-2)/6)/((-160)/y) and -15/11.
88
Let m be (54/(-8))/((-6)/(-16)). Let k be (-68303)/102450 + ((-120)/m)/10. Let x = k + 793999/392725. Calculate the common denominator of x and -11/2.
46
Suppose -115*n - 30 = -120*n. What is the smallest common multiple of 11/(44/204) - n and 3?
45
Let x(d) = 3990*d - 6. Let a be x(4). Let h be ((-218026)/a)/(6 - 7). Let m = -2/2659 - h. Find the common denominator of m and 47/18.
18
What is the common denominator of 29/15 and ((-12)/(-2))/(-3) - (3 - 10003/1848)?
1320
Suppose 0*q + 192 = 3*q. Suppose 131 = 5*w - q. Suppose 4*g + 2*i = -7 + w, 0 = -3*g - 3*i + 30. What is the smallest common multiple of g and 7?
42
Let a(q) = q**2 + 107*q + 136. Calculate the lowest common multiple of 1955 and a(12).
7820
Let d(g) = 8*g + 198. Let l be 24/5 - (-36)/(-45). Suppose 3*v - 34 = -l*i, 5 = i + v - 3. What is the least common multiple of i and d(-24)?
30
Let g = 6878 + -6318. Calculate the smallest common multiple of 70 and g.
560
Suppose -4*i = -5*p + 93, 22 = 5*i + 7. Suppose -a - 336 = -5*a. Suppose 0*w = -4*w + a. Calculate the lowest common multiple of p and w.
21
Let c = 36 + 0. Let t(g) = -4*g - 4. Let y be t(-2). Suppose -y*u + 41 = -5*i - c, 4*u - i - 73 = 0. What is the least common multiple of u and 33?
198
Let y = 19275 + -19273. Calculate the least common multiple of y and 1400.
1400
Let t(q) = 4*q**2 - 119*q + 240. Suppose 108 = -f + 5*f. What is the lowest common multiple of f and t(2)?
54
Let f = 10 + 0. Suppose 0 = -7*u + 1 + 41. Suppose -u*j - 16 = -14*j. Calculate the smallest common multiple of f and j.
10
What is the common denominator of -145/24 and 54360/200*(-10)/(-688) + -5 + 1?
1032
Let c = -209868121/710 - -295589. Calculate the common denominator of c and -75/1562.
7810
Let j = 19414 + -6678315/344. Find the common denominator of j and 117/70.
12040
Let m(l) = 34*l + 22. Let n(z) = 32*z + 21. Let p(u) = -5*m(u) + 6*n(u). Calculate the smallest common multiple of 56 and p(0).
112
Suppose -116*b + 119*b + 6 = 0. What is the common denominator of (69/(-35) - b)*13 and -83/8?
280
Let y = 1695 + -33907/20. Let l = 5387 - 70071/13. Let h = 1821/520 + l. Calculate the common denominator of y and h.
40
Let w(x) = -47*x - 2612. Calculate the least common multiple of 204 and w(-61).
1020
Let o = 71114369831488889287/76415496050 - -78654/626356525. Let g = o - 930612884. Let x = g - 14718. Find the common denominator of 17/12 and x.
732
Suppose -26 + 38 = 4*i. Suppose 213 = 285*x - 284*x. What is the smallest common multiple of x and i?
213
Let a be -198 - (168/140)/(6/20). Let r = a - -218. Calculate the lowest common multiple of 8 and r.
16
What is the common denominator of -13*11/((-319770)/(-133)) and 101/612?
3060
Let w be 1/(((-2)/(-30)*3)/1). Find the common denominator of -101/36 and 292/24 + -5 + -4 + w.
36
Let q = 86811197/870 + -99783. Find the common denominator of q and -17/2.
870
Suppose 3*m - 43*m + 300 + 20 = 0. What is the least common multiple of m and 772?
1544
Let u = -1939 + 19499/10. Find the common denominator of (-2)/(-14) - 365/(-125)*(-110)/1386 and u.
90
Calculate the common denominator of -25*(-200)/(-864) - -6 and (-283)/132 + (4 - 0) + -3.
1188
Let k(p) = -490*p - 2062. Calculate the smallest common multiple of 160 and k(-5).
15520
Let i = -2730 + 2796. What is the lowest common multiple of 246 and i?
2706
Let a(j) = j**2 - 4*j - 3. Let q be a(4). Let f = -1181/470 + -205/141. Find the common denominator of 0 + -1 - (-32)/q and f.
30
Let y = -153/19 + 1965/152. Let g(c) = 2*c**3 - 8*c**2 - 6*c - 58. Let p be g(-6). Find the common denominator of p/(-7)*(-7)/56 and y.
8
Suppose -79*h + 84*h - 20 = 0. Suppose -h*a = -a - 42. What is the smallest common multiple of a and 2?
14
Let o(r) be the first derivative of r**4/4 + 5*r**3/3 + 2*r**2 + 3*r + 12. What is the smallest common multiple of o(-4) and 0 - (164/(-6) + 7/21)?
27
Suppose -5*d + 4302 = 6*y - 3351, 7661 = 5*d + 2*y. Calculate the lowest common multiple of 2628 and d.
18396
Let r(f) = 30*f - 1170. Calculate the least common multiple of r(45) and 264.
3960
Suppose -433 = 3*u + 4*n, -3*n - 143 = u - n. Find the common denominator of -1/5 and -2 - (-3 + u/(-120)).
40
Let v(b) = -b**2 + 28*b - 17. Let k(z) = -z**2 + 16*z - 9. Let a be k(14). What is the least common multiple of 1 and v(a)?
154
Suppose t = 4*t - 15, -3*q + t = 167. Let l = -16 - q. What is the common denominator of 13/3 and (l/(-12))/(2/(-12))?
3
Let x = -17 + 51. Suppose -2*w + 6 = -h + 17, x = -3*w - 2*h. What is the common denominator of -49/8 and (2/w)/(30/366)?
40
Suppose 9*f = 6952 - 33844. Let c be (f/60)/(0 + (-1)/5). Find the common denominator of c*((-5)/6 - -1) and 7/5.
10
Let w = -8 - -16. Suppose 4*n - 6*n = 8. What is the smallest common multiple of w and 1*(20 + n) + -2?
56
Suppose 4673 = m - 5*q, -3*m + 83*q - 87*q + 13962 = 0. Calculate the smallest common multiple of 2 and m.
4658
Let d(l) = -l**3 - 57*l**2 - 304*l + 109. What is the lowest common multiple of 20 and d(-51)?
140
Let z = 127453/765776 - 5/3664. Calculate the common denominator of -31/380 and z.
4180
Suppose -280*t + 5*v = -283*t + 2995, -t + 993 = 3*v. What is the least common multiple of 1809 and t?
9045
Suppose t - 5*t = 2*m + 1626, 3*t - m + 1222 = 0. Let z = t + 410. What is the smallest common multiple of 24 and z?
24
Let n(g) be the third derivative of g**4/24 + 26*g**3/3 + 39*g**2. What is the smallest common multiple of 1/(-3) - 100/(-12) and n(-36)?
16
Let z(o) = 70*o**2 - 156*o + 159. Calculate the lowest common multiple of z(1) and 219.
219
Suppose 10*d - 8*d = 0. Suppose 2*g + d*y - 82 = 5*y, 172 = 5*g + 4*y. Let c = g + -59. What is the common denominator of c and 1/2?
2
Let y = -15 - -17. Suppose 2*g - 2*v - 20 = 0, -y*g = -3*v - 19 - 5. What is the smallest common multiple of g and (-24)/(-4) + (-40)/(-1)?
138
Let x(o) = 11*o**2 - 3*o + 5. Let h be x(4). Let v = 181 - h. Calculate the smallest common multiple of 33 and v.
132
Let w(v) = 61*v**2 - 1766*v - 36. What is the lowest common multiple of w(29) and 3?
51
Let z = -2107/24 - -82525/936. What is the common denominator of (-6)/27*489/(-20) and z?
1170
Suppose -g + 2 + 4 = 0. Let a(p) = 3*p**3 - 2*p + 1. Let q be a(-2). Let h = q + 30. Calculate the least common multiple of h and g.
66
Let n be (40/(-32))/((-4)/10272). Let s = n - 115679/36. Calculate the common denominator of s and 95/32.
288
Find the common denominator of (174/48 - (0 + 2))*1 and -103/654.
2616
Calculate the common denominator of (-121024)/(-126720) - 6/5 and 5/12.
396
Let v(s) = 44*s + 69. Let u be v(5). Suppose -z + u - 57 = 0. Calculate the lowest common multiple of 12 and z.
696
Let r(n) = 2*n**2 - 7*n + 7. Let l be r(6). Let v be ((l - 2) + 0)*48/56. What is the smallest common multiple of 91/5 + (-6)/v and 64?
576
Let m = 49/110 + 1789/330. Let o = -409/45 + m. What is the common denominator of o and 88/147?
441
Let z(j) = 1096*j + 453*j - 6 - 5 - 7. Let b be z(-11). Let f = b + 341217/20. What is the common denominator of -27/14 and f?
140
Let s(t) = -t**3 + 10*t**2 - 26*t + 43. Calculate the lowest common multiple of 5803 and s(7).
46424
Suppose -4 + 10 = 3*g. Suppose 5*n - g = 8. Suppose -3*i = -68 + n. Calculate the least common multiple of 2 and i.
22
Let g = 779418620 - 63135977857/81. Let i = -37896 - g. Find the common denominator of -85/63 and i.
567
Let f = 1822501/3 + -18356809/30. Let q be (-4399 - 2/2) + 1. Let h = f - q. What is the common denominator of h and 29/14?
70
Let k be ((35115/(-6))/5)/((-3870)/(-5)). Le