7. Calculate the common denominator of 40/9 and a.
63
What is the common denominator of -55/16 and (-1*1452/72)/(-7 - 551)?
13392
Let b(x) be the second derivative of x**4/12 - 5*x**3/3 + 33*x**2/2 - 104*x. Calculate the least common multiple of 20 and b(5).
40
Let f(j) = 2*j**2 + 4*j - 1. Let m be f(-4). Let d = 1 + m. Calculate the least common multiple of d and ((-4573)/(-85) - 10) + 1/5.
176
Suppose 3*q + 10 = -5*c + 32, 2*c + q - 8 = 0. Let t(j) = -j + 5. Calculate the lowest common multiple of t(-8) and c.
26
Let c(o) be the third derivative of -1/24*o**4 + 0*o + 0 + 17/6*o**3 + 25*o**2. Calculate the smallest common multiple of 14 and c(-3).
140
Find the common denominator of (83/(-26))/(1635/30 + -29) and 70/39.
663
Let d = 59/485 + -21268/3395. Find the common denominator of d and (-1 - -3)/(24/(-206)).
42
Let u = -1373/438 + 15/292. Let j = u + -13/24. Find the common denominator of j and -19/102.
408
Let c = 141277/8 - 17628. Suppose 17 + 107 = -4*z. Let r = z + c. What is the common denominator of r and 107/18?
72
Let s be (-1088)/4 - (-3 - (-2 + -1)). Calculate the lowest common multiple of (-1)/8 + (-1666)/s and 6.
6
Let i(p) = -6*p - 4. Let v be i(4). Let n be 2 + (0/(-7))/2. What is the smallest common multiple of 6 and (18/7)/(-2*n/v)?
18
Let m be (-1)/(4/(-40)) - 5. Let p(g) be the first derivative of 5*g**2/2 + 5*g - 2. What is the smallest common multiple of 21 and p(m)?
210
Find the common denominator of (996/198 - 5)/((-500)/(-15)) and 21/40.
2200
Calculate the common denominator of (-920)/(-108) + 2/4 + 938/(-134) and -8/243.
486
Suppose 2*o = -3*u + 148, -5*u + 3*u + o + 94 = 0. Let w = 11698 - 11662. Calculate the least common multiple of u and w.
144
Let v = 415 + -412. Calculate the lowest common multiple of v and 525.
525
Let w = -278/24543 + -7040669393/490860. Let c = w + 14347. What is the common denominator of -83/12 and c?
60
Let n be (-2)/4*1*-4. Suppose n*a = -2*t + 142, 4*t = -a + 110 + 186. Let z = t + -57. What is the least common multiple of z and 20?
180
Let p(z) = -45*z**2 + 16*z**2 + 6*z - 13 + 13*z**2 + 17*z**2. Calculate the least common multiple of 688 and p(-9).
4816
Let a = -12606 - -12613. Calculate the lowest common multiple of a and 142.
994
Let s = 7784529/2200 + -38923/11. What is the common denominator of s and 131/2200?
2200
Let k be (4/(24/24217))/(56/(-424)). Let z = k - -30558. Find the common denominator of 2 and z.
42
Let r = 35107939/3822 - 36743/4. Let a = r - -215893/76440. What is the common denominator of a and (-3)/(-6) + (-93)/16?
80
Let s(b) = 50*b + 462. What is the least common multiple of 1617 and s(0)?
3234
Let n = 107 - 108. Let m be (-1394)/152 - (n - 2). Let r = m - -84/19. Calculate the common denominator of -1/8 and r.
8
Let i = 1681/90 + -346/15. Find the common denominator of i and 2/(-7 - (-18 - -3)).
36
Calculate the common denominator of 152/30*(-10)/(-12) and -13 - ((-2139)/51 + 27).
153
Suppose -169*w + 21743 = 120*w - 5712. What is the smallest common multiple of 625 and w?
11875
Suppose a + 26 = -u, -8 + 36 = -u + a. Calculate the common denominator of 1 - (13064/7632 + (-6)/u) and 65/6.
318
Suppose -n - 20 = -5*x - 5*n, -3*x = 4*n - 20. Let q(f) = -5*f + 4*f + x*f + 39*f**2. Calculate the common denominator of -33/5 and q(1).
5
Suppose 32*l + 12319 = -769. Let y = l - -412. What is the lowest common multiple of y and 56?
168
Let j be 16/(-66)*568816995/4470. Let c = j - -30849. Let b = -21455/4917 - c. Calculate the common denominator of b and 117/10.
110
Let i = 1/304 - 5397/304. Let n = -544 + 29917/55. Let d = -21/22 - n. Find the common denominator of i and d.
20
Let c(o) = o**2 + 93*o - 2220. What is the lowest common multiple of 290 and c(31)?
8120
Let l = 306153 - 309214623/1010. Find the common denominator of -68/909 and l.
9090
Let g be 22/(-10) + 2 - 4444/(-20). Suppose 2*t + 3*v + 85 = 0, 6*v - 4*v = 5*t + g. Let n = t - -46. Calculate the least common multiple of n and 12.
12
Suppose 114 = 5*y - 36. Let r(w) = 2*w**3 - 202*w**2 + 154*w + 4609. What is the least common multiple of y and r(100)?
90
Let m = 6/2515 - 12739/490425. Find the common denominator of m and -53/84.
27300
Let m(c) = -2*c - 37. Let x(b) = -b + 1. Let i(v) = m(v) + 6*x(v). Let r(q) = q**3 + q - 5. Let k be r(0). What is the smallest common multiple of i(k) and 7?
63
Suppose 112*r = 109*r - 21, 2*s - 3*r = 1749. What is the least common multiple of s and 1296?
2592
Suppose 0 = 5*x + p - 24, 0 = -691*p + 692*p + 6. Suppose 609 = 3*z - 147. Calculate the least common multiple of z and x.
252
Let p = -200890 - -803637/4. Let q = 10837816/1271 - 8527. Let n = 7615/13981 - q. Calculate the common denominator of p and n.
44
Suppose -583*j + 150 = -578*j. What is the lowest common multiple of j and (-59 - 1)*(-30)/45?
120
Suppose -139 - 41 = -18*w. Calculate the common denominator of (w/(-180))/(1/71) and 77/54.
54
Let b = -12287 - -12327. What is the least common multiple of b and 3948?
39480
Let a be 0 - (3 - 2 - 41). Let q be (-494)/(-12) - (-3 + (-56)/(-21)). Let y = a - q. Calculate the common denominator of 101/50 and y.
50
Suppose -2*y + 1772714 + 1801972 = 0. Let a = y + -10775381/6. Let x = a - -8535. What is the common denominator of x and -59/10?
30
What is the smallest common multiple of (-2*(-309)/(-15))/((-910)/150 - -6) and 824?
2472
Suppose d - 4*k = 5300, 398*d - 4*k = 396*d + 10620. Calculate the smallest common multiple of 72 and d.
47880
Suppose 2*k - d = 28, 0 = -2*k - 2*k + 4*d + 56. What is the least common multiple of k and 4844?
4844
Let h = -126398/1271417 + 2/55279. What is the common denominator of h and -103/92?
644
Let r = 95377/30 - 9283/3. Let y = 85 - r. Find the common denominator of y and -29/117.
1170
Let t be 535591/53970 + (-12)/(-9). Let x = t - -11/257. What is the common denominator of -31/479 and x?
4790
Let u(x) = -16*x + 119. Let i be u(8). Find the common denominator of 1/i*(7 - 2189/(-88)) and -57/56.
168
Suppose 30097 + 46553 = 75*l. What is the smallest common multiple of 5621 and l?
11242
Let x = -94/105 - 3019/420. What is the common denominator of -121/1176 and x?
1176
Suppose -j - 22 = -2*j + 2*y, -5*j - 4*y = -96. Suppose -4*l = -2*f - 342, 41*l = 37*l - 4*f + 348. What is the lowest common multiple of l and j?
860
Let z(d) = 3*d**2 - 51*d - 186. Calculate the lowest common multiple of 372 and z(-4).
4092
Let q(n) = n**3 + 5*n**2 + 13*n + 30. Suppose -5*f + 4 = -11, 2*r - f = -9. Let b = 36 + -3. What is the smallest common multiple of q(r) and b?
99
Let x(f) = f**3 - 9*f**2 + 9*f - 5. Let j be x(8). Suppose -2*i = 2*o + j*o - 3, 3*i - 47 = o. Let t = -8 + 12. What is the smallest common multiple of t and i?
28
Let v be ((-3)/5)/((-27)/90). Calculate the common denominator of 4/14 - 247/(-42) and 0 + v - 3/(-16).
48
Let y = 887023 - 146359784/165. Let b be ((-58)/6 + 1)/((-44)/24). Let k = b + y. Calculate the common denominator of 53/18 and k.
90
Let y(k) = k**2 + 14*k - 53. Let z be y(14). What is the smallest common multiple of (z/12)/((-11)/(-88)) and 11?
2486
Let n = 604 + -718. Let b = 202 + n. What is the smallest common multiple of b and 48?
528
Let a be 57*((-5)/(-15) + (-1)/(-3)). Let g = -22 + a. Suppose 2*n = g + 16. Calculate the lowest common multiple of 3 and n.
48
Let a = -16642/5 - -2479898/745. Calculate the common denominator of 46/3 and a.
447
Let d be ((-7 + 4 - -3) + 0)/3. Suppose -31 = -4*s + 2*s + b, d = -3*s - 3*b + 33. Calculate the lowest common multiple of 106 and s.
742
Let q(z) = -24*z - 112. Let n(d) = 6*d - 47. Let p be n(7). Calculate the least common multiple of 124 and q(p).
248
Let p = 49/45 - -1/495. Let u = -71/176 + p. Find the common denominator of u and -25/16.
16
Suppose -48 = -0*a - 3*a. Let j(n) = -22 + 777*n**2 - 12*n - 1525*n**2 + 749*n**2. What is the lowest common multiple of 4 and j(a)?
84
Suppose -4*k + d = k - 12, 0 = 2*d + 4. Suppose -230 = -k*x - 70. Suppose 0 = -6*u + u + x. Calculate the least common multiple of u and 234.
1872
Calculate the least common multiple of 393 - 22/2*-1 and 8.
808
Suppose 53*r + 55 = 57*r + 5*b, -4*r - 2*b + 46 = 0. Calculate the lowest common multiple of 93 and r.
930
Let y = 15 + -11. Let w = 1938 - 609. Let f = w + -1319. Calculate the lowest co