 and (-36)/84*p/3?
14
Let b(o) be the first derivative of 8*o**3/3 + o**2/2 - o + 19. Let n be b(2). Suppose -105 = -6*a - n. Calculate the least common multiple of a and 6.
12
Let r(p) = -4*p**2 - 53*p - 11. Let a be r(-13). Suppose 0 = a*i - l - 44, 2*l - 4*l + 104 = 4*i. What is the lowest common multiple of i and 24?
24
Suppose -3*y - 2*w + 7310 = 0, 3*y + 3*w - 4875 = y. Let v be -3 + (-8)/(-4) - y/(-15). Let q = 2983/20 - v. Find the common denominator of q and -45/8.
8
Let m be (4/147)/(-2)*(-36)/23016. Let q = m - 4464169/1127784. Calculate the common denominator of 31/30 and q.
120
Let x = -397 - -1573. Calculate the common denominator of (-14)/12*(-384)/x and -27/70.
210
What is the common denominator of (-4)/2*(1/8)/((-399)/(-2964)) and 13/1031?
7217
Let r(y) = -3*y**2 - 4*y + 11. Let i be r(-7). Let n = i + 100. Let o(l) = -l**2 - 10*l - 7. Calculate the least common multiple of 27 and o(n).
27
Let b = 16 + -2. Let y be (-3)/((15/b)/(-5)). Suppose 0 = y*d - 9*d - 10. Calculate the least common multiple of 2 and d.
2
Let i(p) be the second derivative of -p**4/12 - p**2/2 + 2*p. Let c be i(0). Calculate the common denominator of 53/10 and 158/64 + -3 + 1 + c.
160
Calculate the least common multiple of (5 - -1*(-20)/8*-50) + 6 and 272.
272
Let m(r) = 4*r**2 - 7*r - 7. Let b be m(7). Calculate the least common multiple of ((-5)/(b/(-273)))/((-9)/(-96)) and 39.
312
Let t be (-141487)/18 + 2 - (0 - 2). Let g = -7850 - t. What is the common denominator of g and 53/26?
234
Let q be (-3)/((-3)/12*6). Suppose q*u - 96 = -5*r, -8*r + 4*u + 108 = -3*r. Calculate the lowest common multiple of r and 70.
140
Let g = -259527110762/7 + 7737231761489/210. Let o = g + 231290962. Let b = o - -49812. Calculate the common denominator of -34/33 and b.
330
Let l = 3433/4 + -3395/4. Calculate the common denominator of l and (-4)/(-6) - 43/(-6).
6
Suppose -306*s = 7728 - 163176. Calculate the smallest common multiple of s and 4064.
4064
Calculate the common denominator of 103/525 and ((-417)/6 + 0)/((-9600)/64).
2100
Let p = -5854 - -5800. Suppose 4*g = 12, -2*g - 3*g - 69 = -4*f. What is the least common multiple of 4 and (p/f)/(3/(-14))?
12
Calculate the common denominator of (1 + ((-1179)/(-243) - 7))/((-56)/(-2)) and (-18)/(-9) - 242/40.
3780
Let p = -2090738 - -5877064589/2811. Find the common denominator of 59/10 and p.
28110
Let l(u) = 137*u**3 + 10*u + 7. Let j be l(-3). Let g = j + 52175/14. Find the common denominator of (-2)/(-8)*43/(-2) and g.
56
Let n be 5 - (-4)/(-16)*4. Suppose 0 = n*k - 5*u - 79 - 44, 2*k + 2*u - 66 = 0. Calculate the smallest common multiple of k and 7.
224
Let u(r) = 80*r**2 + r - 2. Let t be u(-5). Let h be (2850/(-400))/(6/(-1660)). Let w = t - h. What is the common denominator of -16/7 and w?
28
Let o = 15 + -17. Let w be (6/o - -29) + -4. Suppose 3*f - 58 + w = 0. Calculate the smallest common multiple of f and 54.
108
Let v = -38495/42 + 6543/7. What is the common denominator of v and -31/64?
192
Suppose 0*l - 5*l - 1925 = 5*q, -5 = -q. What is the common denominator of (l/(-312))/(11/6) and -57/302?
3322
Let u be (-4)/(-20) + (-16)/5. Let n(g) = g**3 + 5*g**2 - 3. Let m(c) = 10*c - 313. Calculate the lowest common multiple of m(34) and n(u).
135
Suppose 176 = 3*h + 5*a, -h + 3*a - 64 = -2*h. Suppose 73 = 7*u + h. Calculate the lowest common multiple of u and 6.
6
Let u = 837/37066 + -5855900587/444792. Let x = u + 13161. Find the common denominator of -69/28 and x.
168
Let i = 9/455693 - -11663462011/16404948. Let r = i + -708. Find the common denominator of -7/5 and r.
180
Let n = 353617/18 + -19653. Suppose -22*a + 19*a - 528 = 0. Let c = a + 551/3. Calculate the common denominator of c and n.
18
Let j(i) = -i**2 - 31*i + 53. Let c be j(-34). What is the lowest common multiple of (4 - 3)/(4 + 189/c) and 8?
56
Find the common denominator of ((-2981)/1416 - -2) + (-111)/1332 and -41/590.
2360
Let o = -475 + 473. Find the common denominator of -73/150 and o/7 + 1133/1050.
150
Suppose -84*a = -65*a - 46*a + 108. Suppose 0 = -4*h + 4*r - 7*r - 20, 0 = -2*h + r. Calculate the smallest common multiple of (-4)/(-2) + 9 - h and a.
52
Let r be (-8 - -3) + -20*11. Calculate the common denominator of -17/45 and (2862/r)/(-6) + 0.
225
Let n = -1341/8 + 36139/216. Find the common denominator of n and (-514)/168 + 10/40.
378
Suppose 2*x + 1 = 9, 816 = d + 2*x. Let g = d + -1310. What is the common denominator of g/24 + (-2)/8 and -37/16?
48
Suppose 289*n - 3 = 290*n, n + 2085 = 3*x. What is the least common multiple of x and 16?
5552
Let g(b) = -3*b + 44. Suppose 2*c = -4*v - 16, 2*c + 2*c - 4*v = 16. Suppose 0 = 3*j - c*j - 48. What is the lowest common multiple of g(12) and j?
16
Let s = -217 - -307. Calculate the common denominator of 1828/(-3720) - (-36)/s and -11/5.
930
Let f = -4132 + 4162. What is the lowest common multiple of 25 and f?
150
Suppose 18298 = -289*a + 144302. What is the lowest common multiple of a and 6?
1308
Find the common denominator of 41/24 and (1610/(-10045))/(240/(-35)).
984
Suppose -4 + 2 = -k, 4*p - 228 = -2*k. What is the lowest common multiple of 30 and (96/(-10))/(p/(-140))?
120
Let n = -52523/575400 - 53/5480. What is the common denominator of n and 19/9?
1575
Suppose 154*v - 3200 = 18360. What is the least common multiple of 994 and v?
9940
Let i = -84921/11 + 127721767/16544. Find the common denominator of i and 21/8.
1504
Calculate the common denominator of 1 + 14/18 - (-114)/(-38) and -57/1300.
11700
Let o = -13887 + 250019/18. Calculate the common denominator of 290/(-36) + 3 + -2 and o.
18
Suppose -4*g = g - 4*n - 105, -4*g + 84 = n. Calculate the smallest common multiple of 2 and (g + -18)/(6/14).
14
Let t = 92 + -34. Let j = 62 - t. Suppose -4*b - 5*i + 19 = -26, j*i - 44 = -4*b. Calculate the lowest common multiple of 4 and b.
20
Find the common denominator of -67/45 and (13/2 - 3)/(-7 + (-486)/(-198)).
900
Let b = 3806728358/3171 - 1200482. Let w = b - -328183/1648920. Find the common denominator of 59/7 and w.
3640
Calculate the common denominator of 22/4 + 5471040/(-992256) and 7/2.
5168
Suppose -222*o = -210*o + 6072. Let z = -429 - o. Calculate the smallest common multiple of 66 and z.
462
Let z be 8/((1/7)/1). Suppose 5*f - z = f. Suppose 934*h = 907*h + 378. Calculate the smallest common multiple of h and f.
14
Let c be 3 + (-6)/2 + (-6)/(-3). Find the common denominator of (-27)/10 + 0 + -2 and (c + 2)/(-7*(-8)/(-16)).
70
Suppose -42*v - 785 = -477 - 2198. What is the lowest common multiple of 891 and v?
4455
Let k(u) = u**2 + 14*u + 15. Let n be k(-6). Let y(z) = 2*z**3 + 65*z**2 - 35*z + 6. Calculate the lowest common multiple of 6 and y(n).
72
Let t be ((-48)/(-20) + -3)*5 - 45697. Let y = -4204455/92 - t. What is the common denominator of y and -103/22?
1012
Let f be 2*192/18*-12. Find the common denominator of -25/8 and 1 - (-3 + (-1116)/f).
64
Let j = -180 + 184. Suppose 53 = 5*i + 4*r, j*i - 14 - 20 = r. What is the lowest common multiple of 15 and i?
45
Let f = 169 - 174. What is the lowest common multiple of 5 - (-4 - -3 - f) and 13?
13
Find the common denominator of 121/8544 and 36/28 + (-6210)/1512.
59808
Suppose -9*p + 15*p - 24 = 0. Let q(y) = 15*y - 41. Let x be q(p). Suppose -5*m = -3*n - x, 2*m + 0 + 8 = -4*n. Calculate the lowest common multiple of 9 and m.
18
Let p be (-170 + 3)/(-1 + -3 + 5). Let u = -158 - p. What is the least common multiple of 18 and u?
18
Let m(i) = -i**3 + 26*i**2 + 26*i + 53. Suppose -10*p = 70 - 340. Calculate the lowest common multiple of 13 and m(p).
26
Let y(j) = j + 400. What is the least common multiple of y(-16) and 288?
1152
Let s = 7 - -19. Suppose 9*o = 30 - 12. Suppose -5*z - 2*t = -54, -5*t + o = -4*z + 32. Calculate the least common multiple of s and z.
130
Let z = -65526427/972 + 67414. What is the common denominator of z and -79/648?
1944
Suppose 0 = -32*h - 240 + 15984. Let q = -478 + h. What is the smallest common multiple of q and 64?
448
Suppose -21*r - 109 = -20*r. Let s = r - -28. Calculate the common denominator of -101/12 and (110/15)/((-60)/s).
60
Let p(l) = -l**3 - 14*l**2 - 14*l - 568. Calculate the least common multiple of p(-28) and 7.
75600
Let b(m) = -3*m - 18. Let x be b(18). Let p = -54 - x. Calculate