Let p(f) = -f**3 - 6*f**2 - 12*f - 10. Let d = -19 - -15. Let w be p(d). Suppose -w*k + k + 15 = 0. Calculate the lowest common multiple of 9 and k.
9
Let v be (-3)/24 - (-200)/64. Suppose 3*j = -v*z - 29 - 16, 5*j = -3*z - 71. Calculate the least common multiple of (-100)/(-26) + j/((-676)/8) and 112.
112
Suppose -43*f + 41*f + 424 = 0. Let s = f + -210. What is the lowest common multiple of 4/(-6)*(-15)/2 and s?
10
What is the common denominator of 65/52 - 854/936 and 37/60?
2340
Let u(k) = k**3 + 18*k**2 + 12*k + 79. Calculate the lowest common multiple of u(-9) and 70.
700
Let n = -1478 - -1566. What is the lowest common multiple of n and 80?
880
Let j = 13733 - 494347/36. Let o = -9109/3612 + 143/172. What is the common denominator of o and j?
252
Calculate the common denominator of -13*(-8)/988 + 2339/2508 and -103/58.
3828
Let p(d) = 35 - 3*d + 5*d - 5*d - 6. Let g be p(8). Suppose -7*b = -g*b - 8. Calculate the least common multiple of b and 11.
44
Suppose -3*t - 552 = 3*h, 6*h - 6 = 3*h. What is the common denominator of ((-2)/(-31 + -5))/((-4)/t) and -5/12?
12
Suppose 384 = 2*t + 24. Suppose 116*p = 111*p + t. Calculate the smallest common multiple of p and 10.
180
Let x be (-6)/18 - 2/((-6)/79). Let t(w) = w**2 - 26*w + 3. Let i be t(x). Suppose c - 32 = -i*c. Calculate the smallest common multiple of 16 and c.
16
Let f(b) = -16*b - 5. Let n be f(-5). Let y = n - 45. Let z(m) = 13*m**2 + 7*m + 6. What is the lowest common multiple of z(-1) and y?
60
Let d = 994 + -946. Suppose 0 = 4*q - 0*q - 264. Calculate the least common multiple of q and d.
528
Let d = -21118 + 22148. Calculate the smallest common multiple of d and 824.
4120
Suppose 0 = q - 40 - 3. Let t = 51 - q. What is the smallest common multiple of t and 2?
8
Let x = -245 + 403. Let k = -160568 - -1764512/11. Let p = x + k. Calculate the common denominator of p and -19/11.
11
Let s = -162355/5154 + 2/2577. What is the common denominator of (8/6848)/((-4)/((-1136)/(-7))) and s?
1498
Suppose -61*x + 56 = 96 - 406. Calculate the smallest common multiple of 1076 and x.
3228
Let p be (-6)/2*18/(-1). What is the common denominator of (-186)/28 + (-2 - -2) and p/(-20) - 7/28?
140
Let k = 144 - 42. Suppose 2*g - k = -0*g + 2*v, 5*g = -v + 249. Let i = g + -44. What is the smallest common multiple of i and 1?
6
Calculate the common denominator of ((-1412)/(-4942))/(2/(-1) - (-100)/14) and 103/114.
342
Let c(n) = 2*n**3 - 37*n**2 + 58*n + 376. What is the least common multiple of c(16) and 1109?
26616
Suppose 11*v = -26 - 18. What is the common denominator of 13/45 and v + (-1089)/(-120) - 2?
360
Let x = -93 + 106. Suppose 3*k - 34 = -3*a + k, a = -k + x. Calculate the smallest common multiple of 1 and 252/a + (-4)/8.
31
Let q be -5 + 55/15 + 1/3. Calculate the common denominator of (-59)/4 + 2/(-2) and q + ((-909)/(-30))/((-72)/(-10)).
24
Let z = -32857501808 + 163656517088/5. Let y = z - -5993161805441/47490. Let r = y - -2/4749. Find the common denominator of r and -5/18.
18
Let o(f) = -f**3 - 10*f**2 + 11*f - 3. Let k be o(-11). Let d(r) = -40*r + 8. Let q be d(8). What is the common denominator of 1/21 and q/(-54) + k + 1?
63
Let s = -762/6409 - -105/754. Calculate the common denominator of 89/34 and s.
442
Let o = -512 - -482. Find the common denominator of 1/6*(-129 + -2) and 94/o*(104/32 - 4).
60
Let z be (-1)/4 - (1243/(-4))/11. Suppose -75*l - z = -76*l. What is the lowest common multiple of l and 24?
168
Let h = 345997/1876160 - -31/9152. Calculate the common denominator of -31/410 and h.
410
Suppose 0 = 4*v - 22 + 6. Let l be (2/(-2))/(-6) + 415008/(-1728). What is the common denominator of ((-795)/l)/((-2)/v) and 69/20?
40
Suppose -2*d = 3*d - 4*z - 670, -d = -5*z - 155. Find the common denominator of (690/50)/((-44)/10) and 133/d + 57/(-95).
286
Let z be ((-375)/(-4))/(96/128). Suppose -z - 37 = -6*t. Suppose 128 = -0*a + 4*a - 4*b, 52 = a - 5*b. What is the smallest common multiple of a and t?
27
Suppose -4*g = 2*s + 8, -4*s = -5*g - 6*s - 8. Suppose g = c + 15. Find the common denominator of (c/(-55))/((-3)/38) and 52/31.
341
Suppose 0*g + 3*g + 5*f = -7, 3*f + 6 = 0. What is the common denominator of 1368/736*g/6 and 53/11?
2024
Let g = 54 - 16. What is the least common multiple of ((-28)/10)/(g/(-95)) and 2?
14
Let m(u) be the first derivative of -2*u**3/3 + 15*u**2/2 - 5*u - 19. Let v be m(7). What is the common denominator of 163/30 and v/(-20)*(-1)/((-25)/(-230))?
150
Let d(a) = -3*a + 102. Let w be d(31). Find the common denominator of 91/48 and 3 + w/(-2) - (-400)/(-24).
48
Let y(t) = -2*t**3 + 22*t**2 + 6*t - 68. Calculate the lowest common multiple of 332 and y(10).
15936
Suppose -3*h - 5*s = 2*h - 70, 3*s + 12 = 3*h. Find the common denominator of 30/144 - (-6)/h and 49.
8
Suppose 686 = -16*r - 242. Find the common denominator of r*(-2)/(-30)*18/(-6) and (-2)/9 + 8/(2304/2920).
60
Suppose -63*y + 150 = 35*y - 23*y. What is the lowest common multiple of 700 and y?
700
Let b(p) = -3*p**3 + 3*p**2 + 8*p - 4. Let t be -1 - (9/6)/((-27)/(-18)). Calculate the smallest common multiple of b(t) and 1.
16
What is the common denominator of -17/77 and 26/(-16588)*(-400)/(-24)?
6699
Let b(t) = t**3 - 28*t**2 - 32*t + 81. Let s be b(29). Find the common denominator of 19/6 and (s - 3444/(-1088)) + 4 + -1.
816
Let s(p) = -4*p**3 + 4*p**2 + 12*p + 6. Calculate the smallest common multiple of s(-3) and 64.
3648
Let m be ((-40)/(-6))/4*(-684)/(-285). Let o = 20326 + -1300915/64. What is the common denominator of ((-165)/540)/((10/m)/5) and o?
576
Find the common denominator of 52/209 and (63/66)/((-171)/42).
209
Let d be 44140/(-6)*(-102)/85. Let s = d - 397211/45. Find the common denominator of s and 17/100.
900
Let q = 1315/948 - -55/79. Let k = -605/4 - -144. Find the common denominator of k and q.
12
Suppose -9 = 133*t - 130*t + 5*o, t + 4*o + 10 = 0. Calculate the lowest common multiple of 8 and t.
8
Calculate the least common multiple of 11 and (-148)/(-17)*14 + ((-288)/(-153))/16.
1342
Let q = -51 + 53. Suppose 3*x = q*n + 1 - 2, 5*x + n - 20 = 0. Suppose -x*h + 13 - 7 = 0. What is the smallest common multiple of h and 2?
2
Let j(n) be the first derivative of -n**3 + 28*n**2 + 39*n + 4. What is the least common multiple of j(19) and 2?
20
Let x = -25947/10 - -2597. What is the common denominator of x and (-30)/586*9/(-6)?
2930
Let j = -54/5603 - 120516/4936243. Let l = j - -118613/42288. What is the common denominator of -35/18 and l?
144
Let b = 3599 - 36049/10. What is the common denominator of -4*(-2)/(-36) + (-4186)/1764 and b?
210
Suppose -l + 12 + 0 = 0. Calculate the common denominator of l/((-11)/(-2)*(7 + -9)) and (-62)/(-92) - 2/(-4).
253
What is the common denominator of 57225/(-1785) + 2/34 and 89/38?
38
Let d(j) = -j + 14. Let m be d(16). Let b be -3 + m + (-48 - (4 - 2)). What is the common denominator of b/14 + 1 - -2 and -77/2?
14
Let k(t) be the third derivative of t**5/60 - 4*t**4/3 + t**3/2 - 10*t**2 - t. Calculate the lowest common multiple of 108 and k(33).
108
Let p(b) = -2*b - 2. Let i be p(-3). Suppose 0 = 8*t + 10*t + 1440. Find the common denominator of -3*(i + t/18) and -25/4.
12
Suppose 5*p = 3*p + 316. Suppose 14 = 3*f + p. Let j = f - -52. What is the lowest common multiple of 14 and j?
28
Let q = -631613 - -402969015/638. What is the common denominator of 139/522 and q?
5742
Let i = -45522 + 1365793/30. Let o be -3 + (-35)/(-5) - -64. What is the common denominator of 54/18 + 0 + o/(-21) and i?
210
Calculate the common denominator of 79/2906 and (12/(-8))/(108/(-330)).
17436
Suppose 28*f - 25*f + 31*f - 66198 = 0. What is the least common multiple of f and 354?
3894
Let o be -1*1/((-2)/(-2906)). Let a = 10152/7 + o. Let l = -15587/8 - -140243/72. Find the common denominator of a and l.
63
Suppose 199*a = 195*a + 112. Suppose -35*x = -a*x - 42. What is the smallest common multiple of 148 and x?
444
Let n = 50267 - 1407571/28. Calculate the common denominator of ((-46)/(-24))/(40/(-90)) and n.
112
Suppose -6*m + 143 + 397 = 0. Calculate the lowest common multiple of (1/2*-8 + -11)*-1 and m.
90
Let n = 17195277129/44 + -390783601. Let s = 18151 - n. What is the common denominator of s and 83/10?
220
Suppose 2*b - 674 = -3*p, -119*b - 10