 20 and f(15).
60
Let v(z) be the first derivative of -2*z**2 - 1. Let y be v(5). Let r = y - -44. What is the smallest common multiple of 18 and r?
72
Suppose -60*p + 71*p - 19228 = 0. What is the smallest common multiple of p and 9?
15732
Let j = -269600 - -3394533598/12591. Let o = 314819/277002 + j. Calculate the common denominator of o and (4592/123 - 29)*1/(-10).
66
Let x be (-162)/(-12)*(-4)/3. Let b be (-4)/x - (-770)/(-63). Calculate the common denominator of -23/14 and (-3 + (-34)/(-10))/(b/(-535)).
42
Let d = 2467/5 + -484. Calculate the common denominator of d and -56/445.
445
Let o be 2/(-3) + (-350)/(-75). Suppose 0 = -o*w + 27 - 3. Calculate the lowest common multiple of w and 6.
6
Suppose -5*l + 0*g + 5*g - 565 = 0, 5*g - 20 = 0. Let j = 139 + l. Let v = 1 - -13. Calculate the least common multiple of v and j.
210
Let r = 6/2965 - -9745907/23720. Let i = r - 403. Calculate the common denominator of (-3)/(45/606)*(-15)/(-12) and i.
8
Suppose 263*n + 1824 = 279*n. What is the least common multiple of 204 and n?
3876
Let k = -11440/4203 + -1/2802. Find the common denominator of 10184/(-14592) - 1*2/(-8) and k.
288
Let l(q) = 2*q + 4 - 6 - 4*q + q**3 + 0*q**3 - 4*q**2. Let k be l(4). Calculate the common denominator of -93/8 and k/15 - 285/72.
8
Suppose 2*f + 12 = -2*q, -5*f - 12 - 14 = q. Let w(c) = 125*c**3 - c**2 - 2*c - 2. Let j be w(q). Find the common denominator of -167/120 and (-710)/252 - 54/j.
360
Let z = 133 - 234. Let p = 100 + z. Calculate the smallest common multiple of (p + 6)*(-3)/6*-10 and 10.
50
Let d(a) = 9*a**2 + 1. Suppose 149*w = 34129 + 2972. Calculate the least common multiple of d(-1) and w.
2490
Let y(u) = -35*u + 2139. Calculate the lowest common multiple of 318 and y(61).
636
Calculate the common denominator of 1 + 4 + -3 + ((-13524)/(-2600) - 7) and 31/1690.
8450
Calculate the lowest common multiple of 54 and 1/(((-22)/440)/(1/(-2))).
270
Calculate the lowest common multiple of (5*84/(-735))/((-2)/1477) and 30.
6330
Let q = -10124429/2160 + 46869/10. Find the common denominator of q and 71/480.
4320
Let j = -966 + 974. What is the least common multiple of 55 and j?
440
Let l(f) = 12*f**2 + 3*f + 1. Let h = 52 + -53. What is the smallest common multiple of 2 and l(h)?
10
Let t = -14345 + 430409/30. What is the common denominator of t and 28/365?
2190
Let a be -168*(-5)/15*-4. Let w = 230 + a. What is the lowest common multiple of 57 and w?
114
Let s be (-1)/((3/3)/(-5)). Suppose -444 = s*d + 6. What is the common denominator of (6/d)/(-3*3/(-558)) and -20/39?
195
Let g(n) = n**3 - 50*n**2 + 153*n - 67. What is the least common multiple of 710 and g(47)?
4970
Let m = 45210 + -42429. What is the smallest common multiple of 180 and m?
55620
Let t = 213 - 143. What is the common denominator of (46/8)/((-5)/(-4)) and (7/t)/((-2)/18)?
10
Let h = -148 - -256. Suppose 6*y - 75 = -21. Calculate the lowest common multiple of h and y.
108
Calculate the lowest common multiple of (-42)/(-9)*(-60)/(-10) + -4 and 28.
168
Let g be (-3 + 68/16)/((-1)/(-4)). Suppose g*d + 5*d + 120 = 0. What is the lowest common multiple of d*1/4*2*-3 and 2?
18
Let t = -563 - -578. Suppose t*n - 306 = -66. Calculate the lowest common multiple of n and 14/2 + -3 + 2.
48
Let t be -2 + -3 + -88 + -5. Let z = 881/9 + t. Find the common denominator of z and (-2)/5 - (-542)/180.
18
Let r(u) be the second derivative of -u**4/6 - 14*u**3/3 - 21*u**2 - 98*u. Calculate the lowest common multiple of 22 and r(-8).
594
Suppose -3*w = 15, 1305 = -2*g - w - 1118. What is the common denominator of 97/12 and ((-4)/(-180))/(52/g)?
60
Let s = 1993 + -1900. Calculate the lowest common multiple of 24 and s.
744
Let k(x) = -2*x**3 + 113*x**2 - 55*x - 41. What is the smallest common multiple of k(56) and (-2)/3*(-226 + 1)?
150
Suppose -5*b = -4*s - 204, 2*b + 8*s = -2*b + 96. Let j = -24 - -40. What is the smallest common multiple of j and b?
144
Calculate the common denominator of 145/354 and 1*-12 + 3395/295.
354
Let j be (-2)/(-14) + 479949/(-252). Let a be (288/28)/4*6636/9. Let h = a + j. Find the common denominator of h and 29/33.
132
Let t = -3172 - -3745. What is the lowest common multiple of t and 12?
2292
Suppose -2*f = -2*v + 34, -90 = 5*f - 85. What is the least common multiple of 79/4 - (-2)/8 and v?
80
Let q = 3749912/275 + -13636. Find the common denominator of 91/594 and q.
14850
Suppose -6*c - 32*c + 24386 + 3886 = 0. Calculate the least common multiple of c and 84.
5208
Let z = 21 + 9. Calculate the smallest common multiple of (144/(-45))/(18/(-1215)) and z.
1080
Let v = 150999/3692 - 531/13. Find the common denominator of v and -95/8.
568
Let j be ((96/(-2120))/(-3))/((-12)/(-29000210)). Let g = 36478 - j. Calculate the common denominator of -2/21 and g.
1113
Suppose 33*f + 1035 - 4843 = 17*f. Calculate the smallest common multiple of 238 and f.
238
Let z = -1000537/36 + 27796. Calculate the common denominator of z and 85/138.
828
Let h(g) = 22*g**2 - 2*g - 159. What is the smallest common multiple of h(9) and 27?
14445
Suppose -8*a + 15 = -1. Suppose 7 + 1 = -4*f + 3*c, -a*c = 4*f + 8. What is the lowest common multiple of (1 - 0) + (6 - 1 - f) and 54?
216
Let t(k) = -2*k**2 + 39*k - 44. Let p be t(18). Suppose 2*r + 24*b - 21*b - 117 = 0, 2*b = -p. Calculate the least common multiple of r and 60.
660
What is the smallest common multiple of (2626/(-39))/((-10)/15) - -4 and 210?
210
Let z = -1022 + 1955/2. Suppose -5*q + 4*k = -51, -3*q + q + 5*k = -17. Find the common denominator of (-14)/175*-5*(-50)/q and z.
22
Let w = -21438 - -21446. Calculate the lowest common multiple of 3756 and w.
7512
Let z be 5 + -2*12/(-8) + -1. Suppose 3 = z*j - 8*j. Let f = j + 47. What is the least common multiple of 36 and f?
396
Suppose 3*v - 148 + 109 = 0. Suppose 5*c - 33 + v = 0. What is the lowest common multiple of c and 614?
1228
Let p = -9141/4 - -2271. Let b = -868459750/153 - -5676233. Let i = 5/306 + b. Calculate the common denominator of i and p.
4
Let f = -210903 - -100389885/476. Find the common denominator of -29/136 and f.
952
Find the common denominator of 246*(-120)/(-18468) - 3/2 and -29/45.
5130
Suppose 0*t - 5*t + 2*t = 0. Find the common denominator of -5/126 and 5 + -8 - 137/(-6) - t.
126
Let q be (-10 - -5) + (3 - 1 - -3). What is the smallest common multiple of (q - -2) + 4 + 10 + -4 and 14?
84
Suppose 506 - 79 = -f. Let v = -679 - f. Calculate the common denominator of (-2)/7 + (-590)/v and 31/12.
36
Let g = 1/21759 - 1037183/87036. Let n = -7506/25 + 2534653/8450. Calculate the common denominator of g and n.
2028
Let h(w) = w**2 - w - 4. Let r be h(3). Let q = -3/20 - 79/60. Find the common denominator of r*-1 + 505/(-60) and q.
60
Let p = 74 + -65. Let v(u) = -24*u + 198. Calculate the least common multiple of p and v(8).
18
Let m = 6113 - 293363/48. What is the common denominator of m and (63/108)/((-2)/(-66))?
48
What is the smallest common multiple of 40 and (-35 - (-1 - -2))*(77/(-3) - -11)?
2640
Let c = 346497/22 - 15754. Suppose 5*p = 2*i, 0*p + p + 2*i - 12 = 0. What is the common denominator of c and 249/(-48) - p - -1?
176
Let t = 6 + -7. Let g(c) = -6*c. What is the lowest common multiple of (24/32)/1 + (-407)/(-44) and g(t)?
30
Suppose 3*i - 2*o - 142 = 0, o - 45 = 4*i - 246. Calculate the lowest common multiple of i and 1768.
1768
Let t = -12551 - -12558. Calculate the lowest common multiple of 45 and t.
315
What is the common denominator of -21/220 and -5*3/(-55) - 294/(-660)?
220
Let m(t) = -2*t**2 + 108*t + 42. Let d = 18 - 12. What is the least common multiple of d and m(54)?
42
Let z = -65977/36648 - 39/2036. Find the common denominator of (2/(-3))/(77894/1334 - 57) and z.
144
Suppose -8*a + 54 = -5*a - 4*d, 0 = -2*a - 3*d + 53. What is the lowest common multiple of a and 2?
22
Let n = -232 - -238. Calculate the common denominator of 69/16 and ((-1)/n)/((-12)/8424*10).
80
Let v = 11/186 - 653/6324. What is the common denominator of 38/561 and v?
2244
Suppose -443 = -9*c + 1447. Suppose 0 = 9*v - 4*v - c. Calculate the smallest common multiple of v and 70.
210
Let f = -55718741/3322 + -22298/151. Let k = 13136 - 30061. Let h = k - f. What is the common denominator of -151/96 and h?
1056
Let h = 763 - 771. What i