w = 40. Suppose w*q - 54 = -q. Suppose q*t - 7*t = 30. What is the least common multiple of 9 and t?
45
Suppose 2*r + 10*i - 40 = 5*i, -5*r = 4*i - 66. Calculate the common denominator of (2*(-35)/20)/r and -173/294.
2940
Let b(a) = -a**2 + 53*a + 2418. Calculate the lowest common multiple of b(75) and 40.
3840
What is the common denominator of -4 + 3 + ((-14586)/4746 - -4) and 44/339?
2373
Let u = 4813/2220 + 68717/21460. Let j = 7/348 - u. What is the common denominator of j and (-43)/120 - 2/(-5)?
120
Let b = -79 + 115. Let f be (-397)/(((-64)/b + 2)/2). Let o = f - -14371/4. Calculate the common denominator of o and -25/16.
16
Suppose 3*m - 8*v + 3*v = 104, 0 = 4*m + v - 108. Let b(k) = k**3 + 27*k**2 + 22*k - 69. What is the least common multiple of b(-26) and m?
140
Let a(l) = 21*l**3 - 3*l**2 + 4*l - 2. What is the smallest common multiple of a(1) and -2*(-15)/(-7)*(-11928)/639?
80
Let f = -21505 - -1161211/54. Calculate the common denominator of (-1)/3 + 831/198 and f.
594
Suppose f - 942 = 4*f. Let m be f/14 + 9/21. Calculate the common denominator of 2 - 1602/280 - m/55 and -13/8.
56
Calculate the least common multiple of (1 - -13) + -36 + 1462 and 1080.
4320
Let u = -25058 + 28633. Calculate the smallest common multiple of 1100 and u.
14300
Calculate the lowest common multiple of 30 and (86 + (-644)/28)/3.
210
Suppose -34*o = -4357 + 5. What is the smallest common multiple of o and 544?
2176
Let y = 2369 - -544. Calculate the smallest common multiple of y and 162.
157302
Suppose 18*q - 1828 = -w + 30*q, -3*q = -3*w + 5583. What is the least common multiple of 10 and w?
9320
Let l(t) = -4*t - 8. Let y be l(0). Let f = -2 - y. What is the least common multiple of f and 1*(4/(-1) - -11)?
42
Let v(w) = -86*w**2 + 359*w - 8. Calculate the least common multiple of 4 and v(3).
1180
Let l = -8587/464 + 379/29. Calculate the common denominator of 20/(-30) - (-286)/240 and l.
80
What is the common denominator of 2/(80/61) - (-3)/(-15) and (-7)/14 - (-135)/132?
440
Suppose 4*s = 2*m + 72424, -5*s + 2*m + 90524 = -2*m. Let n = s + -28856. Let l = -236403/22 - n. What is the common denominator of l and 19/8?
88
Calculate the smallest common multiple of 6 and (2/16 - 466948/(-3424))/(6/20).
2730
Suppose 0*l - 4*l = 4*w - 68, -76 = -4*l - 2*w. What is the smallest common multiple of 8 and l?
168
Let n = 194 + -185. Suppose n*h + 149 = 473. Calculate the lowest common multiple of 32 and h.
288
Let i(a) = -a**2 - 6*a + 14. Let o be i(-8). Find the common denominator of 59/12 and (-8722)/1260 - o/10.
36
Suppose -7*y + y - 42 = 0. Let s be y/(-2)*(-4)/(-7). Suppose 0 = 3*k - b - 28, s*k - 23 = -k + 2*b. What is the smallest common multiple of 9 and k?
99
Let x = 50820 - 3354025/66. What is the common denominator of x and -25/816?
8976
Suppose -4*u - 2*k + 60 = 0, -3*k - 50 = -44. Calculate the least common multiple of u and 216.
432
Let l = -1/23048 + 392243/9841496. Find the common denominator of -85/3904 and l.
27328
Suppose 0 = 9*x - 5*x + 3*m - 11, 0 = -4*m + 20. Calculate the common denominator of x/3 - (-606)/900 and -151/30.
150
Let s = 274 + -84. Calculate the least common multiple of s and 10 - (16/40)/((-5)/25).
1140
Let t = 100/2871 - 26897/195228. Let h = 5773 - 46259/8. Calculate the common denominator of t and h.
136
Find the common denominator of 169/120 and ((-58)/(-120))/((-7 + 2 + 8)/1).
360
Suppose 1446 = 5*t - 2*h, -5*h = -3*t + 842 + 37. What is the lowest common multiple of t and 64?
576
Let a = 3365525973 - 41934453534873/12460. Let v = a + -708/89. Find the common denominator of v and 57/28.
140
Suppose -2*k + 771 = -3*h, 4*k - 496 = 4*h + 1056. Let r = 405 - k. Calculate the smallest common multiple of 12 and r.
12
Let s = -34465 - -2412419/70. Let n = 7/27 + 551/270. Calculate the common denominator of s and n.
70
Let j(v) = -v - 13. Let x(m) = -21*m - 425. What is the smallest common multiple of j(-15) and x(-21)?
16
Let m = 6787/4 - 1721. Suppose -3*j - 24 = -2*r, 112*j + 9 = 111*j + r. Find the common denominator of (-2123)/(-1056) - 4/(2*j) and m.
32
Let f = -5570 - -5750. What is the least common multiple of 940 and f?
8460
Let s be ((-56)/(-8))/(2/6). Let h = 27 - s. What is the common denominator of 7*4/42 + 85/h and 91/24?
24
Suppose 0 = -i - 4*n + 4, 3*i = -3*n + 1 + 2. Suppose 2*l + 4*z = -4, -4*z - 8 - 4 = i. Calculate the common denominator of (8/20*5)/(25 - l) and 49/6.
42
Suppose 2*g + 3*g = c + 7, -3*c - 5*g = -19. Calculate the common denominator of -4 + (4 - 348/(-8)) and (-155)/50 - (c - 1).
10
Let v = 43 - 41. Suppose q = 0, -2*b - v*q + 6*q - 18 = 0. Calculate the common denominator of -59/8 and (5 - 2/2)/(b/(-39)).
24
Suppose -a - 468 = -5*y, 0*a = a + 2*y + 433. Let r = -278 - a. Calculate the smallest common multiple of 6 and r.
330
Let r = -669 - -662. Let h = r + 227. Calculate the lowest common multiple of h and 2.
220
What is the common denominator of ((288/400)/(-9))/(8/710) and 4005/(-18)*1/(-30)?
60
Let k = 13186 + -1923. Let i = k + -844754/75. Calculate the common denominator of -41/30 and i.
150
Calculate the common denominator of (-2)/9 + (-1894)/(-180) and -1 + (-15)/(-5) + 861/210.
10
Let f = 3/6439 - 6607/360584. Calculate the common denominator of 71/196 and f.
392
Suppose 5*u + 205 = -b, 4*u + 53 + 110 = -b. Let w be (-24)/3*(u/8 + 3). What is the lowest common multiple of (2 + -1)*(-3 + w) and 24?
120
Calculate the common denominator of -81/20 and (-55)/(6 + 5) - 261/(-60).
20
Suppose -3*m = 4*b - 70, 2*m - 3*b + 75 = 5*m. Let g(r) = 5*r**3 - 16*r**2 + 6*r - 6. Calculate the smallest common multiple of m and g(3).
30
Let i = -106850/1910127 + -10/61617. Calculate the common denominator of i and 1/217.
4991
What is the smallest common multiple of 16 and (-7)/7 - 2*((-30921)/2 - -9)?
247216
Let b = 16 + -11. Suppose b = 3*j - 55. Let y = 1185 + -1175. Calculate the smallest common multiple of y and j.
20
Suppose 12 = 5*z - 2*z + 5*m, 4*z - m - 16 = 0. Calculate the smallest common multiple of 10 and (3 - 5) + 5 + z.
70
Suppose 2*m - 102 = -2*p, 500*m + 318 = 5*p + 498*m. Calculate the smallest common multiple of p and 150 + (4 - (8 + -4)).
300
Let z = -1088 - -2622. Calculate the least common multiple of z and 354.
4602
Suppose 4*a - 144 = 284. Let l(p) = -p**3 + 96*p**2 + 846*p - 1446. Calculate the lowest common multiple of a and l(104).
1070
Let i = -258/11 + 809/33. Calculate the common denominator of i and (-4)/6 + 984/1350.
2475
Suppose 0 = -9*c + 2*c + 21. Let o be (-52)/10*(c + -8). Let l = o - 6. Calculate the lowest common multiple of 16 and l.
80
Let l = 15 - 27. Suppose 2*t - 556 = -3*q - 541, 0 = -3*t + 9. Calculate the least common multiple of 4*(1 - l/8) and q.
30
Let c = -6 + 22. Suppose -2*w - 380 = -1138. Let z = w - 375. Calculate the lowest common multiple of c and z.
16
Let o = 143 - -109. Let r = o + -2009/8. What is the common denominator of r and -79/40?
40
Let i be 9/(45/9727820) + -4. Let c be i/8755830 + 4/(-18). Let r = 1545773/454006 - c. Find the common denominator of r and -103/6.
42
Let h = -1645/2 + 796. Let j = -9/4563419 + -87339269572/3381493479. Let o = j - -336/13. What is the common denominator of o and h?
114
Let o be -7891449*(-5)/3570 + (-2)/(-7). Let n = o - 11051. Calculate the common denominator of 39/4 and n.
68
Let z = -2600497/35445393 + -2/222927. What is the common denominator of 33/1378 and z?
12402
Let u(x) = 413*x**3 - 7*x**2 - 6*x + 1. Let q be u(-3). Let j = q - -402995/36. Find the common denominator of 91/2 and j.
36
Let i = -6254 + 13411. Let p = i - 200427/28. Find the common denominator of p and -35/2.
28
Find the common denominator of -11/72 and 1/(-7) - ((7 - -8) + (-7474937)/494760).
6840
Let u(z) = -5000*z - 5. Let p be u(-2). Let w be -1 - p/(-570) - 0. Let c = w + -216/19. Calculate the common denominator of c and -71/2.
6
Let y = -9304 + 186183/20. Let v be 24324/22*265/20. Let g = -14647 + v. What is the common denominator of g and y?
220
Let k be (6/(11910*-2))/(8/(-10)). Let q = k - 42083/3176. Let a = -5672 + 62445/11. What is the common denominator of a and q?
44
Let n = -179413 - -24758839/138. Find the common denominator of n and 10/171.
7866
Let j = -29145 - -2156633/74. Let l = 8 + -12. Calculate the common d