- 18. Let v be o(-20). Let h(a) = -94*a**2 + 1 + 65*a**2 - a + 50*a**v. Calculate the lowest common multiple of 42 and h(1).
42
Let x be (-78)/52 + 9/2. Suppose -l + x*l = -w - 7, 4*w - 5*l = -67. Let s = -989/1400 - 37/1050. Find the common denominator of w and s.
120
Let k(z) = -z**3 + 9*z**2 - z - 17. Let t be k(13). Let j = 1236 + t. What is the common denominator of j/24*4/10 and 95/12?
12
Calculate the common denominator of -53/224 and 0 - 5 - 1 - (6 + (-27800)/2336).
16352
Suppose -5*c + 226 = 4*v, -5*v + v + 142 = 3*c. Find the common denominator of -127/12 and (-16)/(-24) + c/27.
36
Let u be 1 - ((-8376)/(-100))/6. Let s = u - -3909/400. Let d = 22/129 - -2263/4128. Calculate the common denominator of s and d.
32
Let y(k) = -12*k + 18. Let a be y(-11). Let f = a - 132. Let s = 36 + -24. What is the smallest common multiple of s and f?
36
Let s(a) = 16*a - 224. Let l be s(-8). Calculate the common denominator of 2/(180/166) - l/1584 and 21/20.
60
Let m be (-2)/(-8) + (-410)/40. What is the common denominator of (-2 + (-20)/(-3))/(30/63) and (-6)/((-540)/466) + (-6)/m?
45
Let o(z) be the first derivative of z**4/4 + z**3/3 + z**2 + 303*z + 10. Let g be o(0). Let c = 1261/4 - g. Find the common denominator of c and -91/326.
652
Let c = -35083 + 35515. What is the least common multiple of c and 120?
2160
Suppose -126 = 4*w + 18. Let h = -883 - -921. Let j = h + w. Calculate the lowest common multiple of 4 and j.
4
Let q(j) = 1 + 4 + j + 2*j - 8. Let m be q(1). Find the common denominator of 23/10 and -1 - (m + (-14)/16).
40
Suppose 2*t - 5*t + 1764 = 0. Let k be (-88)/(-6)*21/t. Let d = 599/462 - k. What is the common denominator of d and -55/14?
154
Suppose -67130 = -35*t - 23485. Calculate the least common multiple of 435 and t.
18705
Let y = -660/203 + -30/29. Find the common denominator of (-87 - (-4)/2)/(4 - 0) and y.
28
Suppose 3*d + 3 = 3*f, 3*f - 2*f = 2*d. Let p = -526 + 542. Suppose -4*n - 12 = -w, 2*n + p = -4*w + 46. What is the lowest common multiple of f and w?
8
Let j(y) = 87*y**2 + 691*y - 1. Suppose 18 = -0*i + 3*i. Calculate the smallest common multiple of j(-8) and i.
78
Suppose z + 3*a = 2, -8*a = 2*z - 12*a - 4. Let u = -11 + 71. Suppose -o - u = -7*o. What is the least common multiple of z and o?
10
Let c = -204 - -432. Suppose 0 = 4*d - 0*d - 8. What is the least common multiple of (2/3)/(-5 - c/(-45)) and d?
10
Let l(x) = -x**2 - 15*x - 34. Let z = 32 - 28. Let o be 5/5*(-11 + -1 + z). What is the lowest common multiple of l(o) and 8?
88
Suppose 0 = q + 35 - 44. Let v(h) = -4*h**3 + 32*h**2 + 3*h. Calculate the lowest common multiple of v(8) and q.
72
Let d = -1859 - -3067. What is the least common multiple of 8 and d?
1208
What is the common denominator of -7/57 and (74/18)/(-6 + (-240)/45)?
1938
Calculate the lowest common multiple of 32 and (228/42)/((-7)/(-294)*6).
608
Let i = -6193719/1108 + 5590. Calculate the common denominator of 63/8 and i.
2216
Suppose -h - g - 2 = 0, -4*h = 6*g - 10*g - 24. Suppose 3*k - 5*l - 17 - 13 = 0, 20 = h*k - 3*l. Calculate the smallest common multiple of k and 16.
80
Let a = 2326 - 644303/277. Let f = -24101/554 - a. Find the common denominator of (324/126)/((-274)/126 - -3) and f.
26
Suppose -4*j - 104 = -76. Let b(c) be the first derivative of c**3/3 + c**2 - 5*c - 5. What is the smallest common multiple of 18 and b(j)?
90
Let w be 24/(-4) + (-12)/(-2). Suppose n + 16 - 58 = w. Calculate the lowest common multiple of n and 21.
42
Let u = 6192/23 + -3267145/12144. Find the common denominator of u and 59/198.
1584
Suppose -62 - 18 = -5*q - 2*c, -16 = -q + 10*c. Let j(s) = -s + 5*s**2 + 3*s - s**3 - 5 + 11*s**2. What is the smallest common multiple of j(q) and 33?
297
Let m = 68 - 0. Let d(z) = -9*z + 92. Let u(s) = 8*s - 126. Let r be u(17). Calculate the lowest common multiple of m and d(r).
68
Suppose -4*x = -v - 485, 0 = -3*v - 15. Suppose -m - 5*m = -x. What is the least common multiple of m and 1*8 + 1326/17 + -20?
660
Let p be (-120)/26*66/55. Let x = 129/26 - p. Calculate the common denominator of (-20)/(-16)*(-2)/(-145) and x.
58
Let p = -27129 + 27151. Suppose 5*k - 227 = -2*v, 0*k - 4*k + 106 = v. Calculate the smallest common multiple of p and v.
1386
Let h(q) = -q**3 - 2*q**2 - 3*q. Let p be h(-3). Suppose -12 = -6*r + p. Calculate the lowest common multiple of r and 50.
50
Let o = 205424 - 347988315/1694. Calculate the common denominator of o and ((-1349)/213)/((-3)/9 + 13/15).
6776
Suppose -22*f + 16575 = -18845. What is the least common multiple of 3220 and f?
3220
Let y(a) = -2856*a - 7986. What is the smallest common multiple of 97 and y(-3)?
582
Suppose 24*w - 20*w = -120. Calculate the common denominator of ((-6)/(-198))/(1 + 0) and (-25)/w*118/20.
132
Calculate the common denominator of -79/10 and (4893/(-10718))/(((-2)/3 + -1)/2).
230
Suppose 230 = 5*d - 335. Suppose 5*j - 7 = d. What is the least common multiple of 81 and j?
648
Suppose -2*y + 2*x + 1888 = 0, 12*y - 5*x - 8496 = 3*y. Calculate the least common multiple of 36 and y.
8496
Let a be -11 + (7 + -5 - -3). Let s = -53 - -71. Calculate the least common multiple of 22 + 3/a*0 and s.
198
Suppose 5*y - 2*c + 42 = -4*c, -5*y = -3*c + 37. Let t(w) = -2*w**2 - 17*w - 2. What is the smallest common multiple of t(y) and (6/15)/(2/10)?
6
Suppose 8*z - 12*z = -4*d - 32, -d = 3. Let f(w) = 6*w - 6. What is the least common multiple of f(5) and ((-3)/z)/(8 - 1446/180)?
72
Suppose -3*r - 468 = 5*s, 4*r + 394 = -4*s + 26. What is the common denominator of s/9*(-6)/72 and 44/27?
27
Let v = -4734008 + 785852215/166. Let c = v - -1/83. What is the common denominator of -29/6 and c?
6
Let a(q) = q**2 - 14*q + 28. Let s be a(14). Calculate the lowest common multiple of 12 and (1296/s)/(57/266).
216
Let h(o) = 7*o - 7. Suppose 5*u + 7*c - 3*c = 417, 0 = -3*c - 6. Let a be (-54)/(-10) + (-34)/u. Calculate the smallest common multiple of h(a) and 6.
84
Suppose -50486 = 12*x - 34*x - 14934. What is the lowest common multiple of x and 2?
1616
Let p = 82 - 65. Suppose -p*n = -16*n - 344. Let t = -1075/3 + n. What is the common denominator of 11/18 and t?
18
Let j = 2/257303 - -32162239/81822354. What is the common denominator of -11/14 and j?
2226
Let p = -16421762/297 - -49888533313/902286. Let q = p + 2/4557. Calculate the common denominator of -139/24 and q.
264
Let w = -1/23590 - 15333/11795. Find the common denominator of w and 89/1170.
1170
Find the common denominator of (151/9)/((-20)/6) and 1029/17150*(-55)/9.
30
Let z = 9602 - 9592. Calculate the least common multiple of z and 287.
2870
Let m(a) = a + 19. Suppose 14*b = 4*b + 80. Suppose 44 = 4*t - b*t. What is the smallest common multiple of m(t) and 12?
24
Suppose 0 = 2*i - 2526 - 954. What is the smallest common multiple of i/156 - (-6)/(-39) and 4?
44
Find the common denominator of -4 - 93/(-168) - -3 and 471/144 - (10 - 5).
336
Suppose -3*l = 4*q - 20, -q - 13 = l - 18. Suppose l = 14*w - 23*w + 828. What is the least common multiple of w and 22?
1012
Suppose 0 = -q - 13 + 38. Suppose g = w + q - 1, -g = -2*w - 24. Let o(c) = c**3 - 37*c**2 - 76*c - 75. Calculate the least common multiple of g and o(39).
24
Let d(o) = -o**3 - 9*o**2 + 29*o. Let y be d(-12). Suppose -z - z - y = -2*h, -h + 51 = 2*z. What is the smallest common multiple of 9 and h?
45
Let d = 3196/3 + -44801/42. Let a = 11 - 27. Find the common denominator of (-85)/a*4/(-3) and d.
84
Suppose -19436 = 41*f - 108980. Calculate the smallest common multiple of 2 and f.
2184
Let j(q) = -q**3 - 5*q**2 + 38*q + 84. Calculate the smallest common multiple of 3*3 - 0 - 2 and j(-9).
462
Suppose -1 = b + 5*z, 0 = 4*b + 14*z - 13*z + 4. Calculate the common denominator of (b - -7)/(-3) - (-385)/(-126) and -93/40.
360
Let x(v) = v**3 + 5*v**2 + 3*v + 1. Let d(t) = t**2 - 17*t + 156. Let j be d(-20). Suppose 52*o + j = 59*o. Calculate the least common multiple of x(-4) and o.
640
Let g(x) = -3*x - 16. Let r be g(-7). Suppose -r*o + 4*o = 6. What is the common denominator of 743/84 + (o/14 - 0) and 109/28?
84
Let z(a) = a**2 - 2*a - 1. Let c be (-3 + -18)*(-16 - -8). Suppose -592*o + 596*o = c. Calculate the smallest common multiple of z(3) and o.
42
Let w = -9598 + 9753. Calculate the least common multip