24*-2 - 1/4. Suppose 5*x - 5*c + z = 93, -5*x + 3*c - 283 = 0. Let d = -49 - x. What is the lowest common multiple of 11 and d?
77
Let d = 715/124 + 14/93. What is the common denominator of (-572)/136 + -8 + 10 and d?
204
Let y = -84 - -91. Calculate the least common multiple of (-4)/(-8) + ((-5810)/20)/(-7) and y.
42
Suppose -6*l = 58 + 14. Let g be (0 - 3)*3/(27/l). Suppose 0 = -4*v - 20, 44 = g*d - 3*v - 143. Calculate the smallest common multiple of d and 2.
86
Suppose 0 = -4*j - 5*n - 62, 0 = 5*j - 5*n - 19 + 74. Let c = -11 + 22. Find the common denominator of (-122)/(-24)*(c + j) and -39/10.
30
Let h(w) = w**3 - 16*w**2 + 7*w. Let y be h(15). What is the common denominator of (1 + y/198)/(-2 + -3) and -49/27?
1485
Let k = -3758674/263553 + 2530/177. Find the common denominator of k and 9/2.
2978
Suppose -59 = -5*r - 3*h, 19 = r - 14*h + 17*h. What is the smallest common multiple of 245 and r?
490
Let k(c) = -6*c - 2. Let i be k(2). Let t = 4 - i. Suppose -p = m - 5, -11 = 2*m - 4*p - 3. Calculate the least common multiple of t and m.
18
Let u = 460/29 + -4111/261. Calculate the common denominator of u and -25/10518.
31554
Calculate the common denominator of ((-17)/(-8))/(7830/39556) + -11 and 76/675.
2700
Find the common denominator of (-4)/(-160)*((-4070)/40 - 2) and 171/80 + -1 + 0.
160
Let w = 3 - -1. Let p(r) = -1 - 11 + 6 - 4 + 8*r - 4*r. What is the smallest common multiple of 18 and p(w)?
18
Suppose 0 = -2*s + 26 + 22. Let l = -210 - -210. Let u(z) = -6*z + 10. What is the lowest common multiple of u(l) and s?
120
Let l(w) = w**3 + 4*w**2 - 7. Let x be l(-4). Calculate the common denominator of (x - 136/(-28))*9/(-10) and 2/80*(-79 + 1).
140
Let n be 47/(((-4)/2)/66). Calculate the common denominator of -87/16 and (-319)/n*((-45)/(-12) - 3).
752
Suppose -4*b - 274 = -3*k, -3*b + 2 = 5. Let t(g) = 3*g**3 - 2*g + 1. What is the smallest common multiple of t(1) and (-4)/18 - (-380)/k?
4
Let d(w) = -4*w**3 - 27*w**2 + 27*w + 352. Calculate the least common multiple of (-2)/8 + (-205)/(-20) and d(-7).
1060
Calculate the least common multiple of 1946/(-5)*(460 + -465) and 14.
1946
Suppose 163*b - 4254 = 52*b - 924. Let z(v) = 3*v**2 - v - 1. What is the least common multiple of b and z(-4)?
510
Let k(b) = -87*b + b**2 + 90*b - 3 + 1. Let h(p) = p**2 + 2*p. Let y(g) = 5*h(g) - 4*k(g). What is the least common multiple of 2 and y(4)?
16
Let n = 252 - 506. Let t = 402 + n. Calculate the lowest common multiple of t and 2/(-3) - (-248)/12.
740
Let s = -2080271308 + 800905188929/385. Let f = 1910 - s. Find the common denominator of f and -69/4.
1540
Let z = 18112127009/76 - 238337927. Let i = z - -20467. Calculate the common denominator of 57/2 and i.
76
Let n = -587 - -587. Let q be (4*1)/(3/3). Suppose -3*w = -3*g - 111, 4*g + q = -n*g. Calculate the lowest common multiple of 22 and w.
396
Let o = 402 - 402. Suppose -4*f + i + 123 = o, 5*i - 4*i = f - 33. Let j(d) = 2*d**3 + 2*d**2 + 3*d - 3. What is the lowest common multiple of f and j(2)?
270
Let s be 0*(6 - 78/12). Suppose s = 4*c - 2*f - f - 231, 228 = 4*c - 4*f. What is the smallest common multiple of 90 and c?
180
Let f(y) = y**2 - 28*y + 97. Let u be f(24). Find the common denominator of -91/40 and u + (4992/1180)/2 - 3.
2360
What is the least common multiple of 90/495 + (-489)/(-33) and 363?
1815
Let o be (-504)/(2 + -9) + -7. Let k = 137 - o. Calculate the smallest common multiple of 15 and k.
360
Let l(m) = -424*m + 401. What is the least common multiple of l(-1) and 11?
825
Let f = -71/2093 + 27575/46046. Calculate the common denominator of 163/462 and f.
462
Let l be 2/((-10)/103923)*(-273)/(-57382). Let g = -34/2207 + l. Let i = -3244/35 - g. Calculate the common denominator of i and 101/20.
140
Suppose 0 = -5*l + 8 - 208. Let t(z) = -z**2 - 35*z - 12. Let u be t(-35). What is the common denominator of -31/126 and (-245)/l*(-16)/u?
126
Suppose p + 12 = 2*p - 3*q, -2*q = 4*p - 34. Let z = -2/23885 + 1504799/525470. Find the common denominator of z and (-238)/44 + (-3 - p - -14).
22
Suppose 0*r = 3*r. Calculate the common denominator of (-236)/(-16) + -2 + r and (-47)/(-20) - (10/35)/((-12)/42).
20
Suppose 0 = 3*o + 3*t - 51, o - 3*t - 5 = -0*t. Let g(n) = 10*n**2 + 2*n + 1. Calculate the common denominator of g(-2) and (-130)/(-55) - 7/(o/8).
11
Suppose -3*t + 6*t + 126 = -y, 2*t + 4*y + 74 = 0. Let w = 61 + t. What is the smallest common multiple of w and 16?
144
Suppose -4*f + 126 + 22 = 0. Suppose -3*i - 147 = -3*n, 5*i = -5*n + 135 + 70. What is the smallest common multiple of 24 and f/5 + -9*(-3)/n?
24
Suppose -t = -4*p - 66, 2*t - 4*p = -8*p + 156. Calculate the least common multiple of 32 and t.
1184
Let u = 48133/14 + -3459. Let p = -13305/616 - u. Find the common denominator of p and 65/18.
792
Suppose 0 = -2*l + s + 75, -1 = -4*s - 21. What is the common denominator of -21/11 and ((-1108)/(-510) + -2)/(l/175)?
561
Let g(b) = -202*b + 848. What is the least common multiple of ((-28)/(-6))/(3/18) and g(4)?
280
Let t(c) = c + 19. Let w be t(13). Suppose -4*a + 12*a = w. Suppose -2*y + 2*b = -a, -2*b = -0*y + 2*y - 4. Calculate the smallest common multiple of 78 and y.
78
Let j(h) = -26*h**3 + h**2 + 3*h - 2. Let i be j(1). What is the common denominator of (-56)/(-264)*117/i and 23/64?
704
Suppose 2660 = -18*c + 37*c. Calculate the least common multiple of 100 and c.
700
What is the least common multiple of (-36)/14 + 76962/889 and 154?
924
Let k be 7/(-28) + (-3)/(-12). Let i(z) = -9*z + 4. Let n = 23 - 7. Calculate the smallest common multiple of i(k) and n.
16
Suppose 4*k = 2*u + 8, -3*k - 7 = 68*u - 63*u. Calculate the lowest common multiple of 670 and k.
670
Let q(f) = 4*f - 33. Let l be q(9). Calculate the common denominator of 59/57 and (-9922)/528 - l/(-24).
57
Let h = -10836/101 + 16834801/156954. Find the common denominator of 145/6 and h.
1554
Let w(o) be the first derivative of 10*o**3/3 + o**2/2 - o + 57. Calculate the least common multiple of w(1) and 77.
770
What is the common denominator of (1703/156 - 15) + 9 and 109/1330?
7980
Let k = -2528 + 2535. Calculate the least common multiple of k and 504/15 - -2 - 12/20.
35
Let k = 146 - 141. Suppose -k*q = -257 + 207. What is the least common multiple of 6 and q?
30
Let d = -7671 + 8619. Calculate the smallest common multiple of d and 120.
9480
Suppose -55792 = 1709*y - 152*y - 208378. Suppose -3*d + 3*l - 566 = -8*d, 0 = 3*d - 2*l - 332. Calculate the least common multiple of y and d.
784
Let s = -264 + -69. Let v = -743/2 - s. Calculate the common denominator of (-365)/(-15) + (-5)/(-15) and v.
6
Let y be (0 + 1)*(-3)/(-3). Calculate the common denominator of (-1008)/(-392)*(-13)/117 and y/(6/8)*-16.
21
Suppose 5*p - 42 = -3*z - z, 0 = p + 2. Suppose -z = -v + 3*x, x - 81 = -4*v - 16. Calculate the smallest common multiple of v and 18.
144
Let a(f) = f**3 + 8*f**2 - 4*f - 44. What is the lowest common multiple of 1083 and a(-7)?
11913
Let w = -35698 - -36744. What is the smallest common multiple of 9 and w?
9414
Let u(x) = -x**2 - 4*x + 10. Let d be (-64)/8 + -2 + 4. Let z be u(d). What is the common denominator of 31/2 and (z + -16)*(-18)/(-42)?
14
Suppose 0 = -3*m - 5*b + 361, 0 = -5*b - 9 + 19. Let n = m + -99. Calculate the lowest common multiple of 153 and n.
306
Let r be -3*6/(-63) + 650/175. Find the common denominator of -53/4 and r + (-67)/4 + 6.
4
Suppose -1675*h + 1654*h + 34944 = 0. Calculate the smallest common multiple of h and 28.
11648
Let u(j) = -277*j - 1654. What is the least common multiple of 2178 and u(-6)?
8712
Find the common denominator of (-931040)/(-50600) + 1/1 + -10 and 1/16*-1*-79.
80
Let g = 81 - 161. Let f = g - -82. Find the common denominator of f/(-6)*-3 - 1270/100 and -34/7.
70
Let x(k) = -k**3 - 5*k**2 + k + 8. Let g be x(-5). Suppose -g*n + 193 + 170 = 0. Calculate the common denominator of -77/6 and 2/(-4)*(-253)/n.
66
Let l = 19999 - 34871. Let r = l + 297509/20. Find the common denominator of r and 97/4.
20
Suppose 2*q - 161 = m + 404, 4*m = -3*q + 875. Calculate the common denominator of (-70)/6*76/q and -97/42.
126
Let q = -60930 + 487341/8. Let s = 130/7 - 613/28. What is the common denominator of q and s?
56
Let o = 221067 + -3979225/18. Let q = -20 + 14. Wh