et g be 10/(-6)*(-41 - 1). Suppose -53 = -3*r + 97. Let i = g - r. Calculate the least common multiple of i and 4.
20
Let r = 430907/42 + -10263. What is the common denominator of r and (0/(0 - -6) - 4) + 9/90?
210
Let g = -26140 - -888803/34. Find the common denominator of g and 127/910.
15470
Let v(x) = -x + 15. Let s(q) be the first derivative of q**3/3 - 10*q**2 - 42*q - 23. Let k be s(21). What is the smallest common multiple of 28 and v(k)?
252
Find the common denominator of 71/2426 and 25/(-36) + (3 - 345/92).
21834
Let g(i) = i**3 + 40*i**2 - 10*i - 396. Suppose 5*t - 10 = -5*c, 2*c - 3*c - 13 = -2*t. What is the least common multiple of t and g(-40)?
20
Let y = -235001 - -629332637/2678. What is the common denominator of y and 85/2266?
29458
Suppose 9 - 1 = p. Let q be (-32)/(-10) - 9/45. Suppose 18 = i - 2*a, q*a = 7*a. What is the lowest common multiple of p and i?
72
Suppose -9*a - 36 = -5*a + 4*v, 3*a - 3*v + 3 = 0. Find the common denominator of (a + 22/4)/((-44)/82) and -77/4.
44
Let p = -12685 + 558113/44. Let c = 48728 - 2923823/60. Calculate the common denominator of p and c.
660
Let l(w) = w**2 - 17*w - 3. Let a be l(12). Let k be ((-42)/a)/(142/114). Let u = -1646/639 - k. Find the common denominator of u and -67/2.
18
Let i = 67515/87995878 - -262457808875249909/659969085. Let w = -397728907 + i. Let q = 46928 + w. Find the common denominator of -67/30 and q.
30
Suppose -2*d = -3*c + 37, -67*c - 2*d = -62*c - 83. What is the least common multiple of 858 and c?
4290
Let t = 67150242 + -6043410191/90. Let c = t + -11200/9. Calculate the common denominator of c and -61/9.
90
Suppose 12*w + 6*w = 6*w. Suppose -14 = -z - w*z. What is the lowest common multiple of 24 and z?
168
Let o(f) = -f**3 - 13*f**2 - 3*f - 19. Suppose 115 = -4*i + 19. Let k = 11 + i. What is the smallest common multiple of o(k) and 26?
260
Suppose -54 = -25*z + 242 + 4. What is the smallest common multiple of z and 450?
900
Let c = 17 - 74. Calculate the common denominator of c/(-36)*(-12)/(-36) and 7/36.
36
Let t(d) = d - 21. Let j be t(7). Find the common denominator of -4 - ((-8)/j)/((-180)/(-350)) and -81/8.
72
Let n be 3*((-58)/6 - -3). Calculate the common denominator of -1 + ((-15)/(-26))/((-4)/n) and (89/4)/((-2)/4).
26
Suppose 5*h - 44*a = -13, -20 - 29 = -3*h - 2*a. Let o(u) be the second derivative of -u**3/6 + 9*u**2/2 + u. Calculate the least common multiple of o(5) and h.
60
Suppose -3*l + 33 = -6. Suppose -3*m = n + 2*n - 21, -n = -4*m + l. Suppose m = w + 2. Calculate the smallest common multiple of w and 164.
164
Let b = 24318 - 2942515/121. Find the common denominator of b and 20.
121
Let p be ((-1450)/(-15))/(-10) - 0. Let l = -115/9 - p. Find the common denominator of -56/3 and l.
9
Let s(f) be the second derivative of -13*f**3/6 - 9*f**2/2 + 4*f. Calculate the lowest common multiple of 6 and s(-1).
12
Suppose -w = c + 6, 2*c + c + 2 = 5*w. Let g(l) = -l**3 - 4*l**2 + 2*l + 6. Let t be g(c). Find the common denominator of (1 + (-184)/20)/(t - -1) and -31/11.
55
Suppose -144 = -4*a + 3*x, 3*a = 9*x - 6*x + 111. Suppose 46*v - a*v = 143. Calculate the smallest common multiple of 6 and v.
66
Let c = -8612 - -8843. What is the lowest common multiple of 66 and c?
462
Let c = -43 - -43. Suppose 9*n + n - 660 = c. Calculate the common denominator of -23/6 and -1 - n/54*(-3)/2.
6
Calculate the common denominator of 83/402 and 386/(-21) - (-111)/518.
402
Let z = -173 - -158. Calculate the common denominator of -29/60 and (-11)/(-6)*5/180*z.
360
Let q(v) = -32*v + 41*v - 15 - 2*v - v**3 + 3*v**2. Calculate the smallest common multiple of 64 and q(3).
192
Calculate the common denominator of -59/36 and 5/210*(-1 + (-1417)/117).
756
Calculate the least common multiple of 4 + -3 + 993 + 14 and 1386.
11088
Suppose -6*h + 52 = -32*h. Calculate the smallest common multiple of 340 and 2 + -4*(5 + h + -4).
1020
Suppose -623 = -4*z + 381. Let l = z - 215. What is the smallest common multiple of 18 and l?
36
Let s(u) = -2*u**3 + 50*u**2 + 76*u - 152. What is the lowest common multiple of 1104 and s(25)?
20976
Let t = 79345/18 - 4403. Suppose 300 - 84 = 4*s. Find the common denominator of t and (-337)/(-306) - (-12)/s.
306
Let i = -143/273120 - 8/569. Find the common denominator of -119/100 and i.
2400
Let o(k) = 684*k - 268. Calculate the smallest common multiple of o(1) and 10.
2080
What is the common denominator of (-1364)/192 + 123/27 + (-16)/(-36) and 71/84?
336
Let o(k) = 2*k**3 + 9*k**2 - 26*k - 217. What is the least common multiple of 70 and o(7)?
3640
Suppose 4*z = -3*y + 29, -8 = 5*y - 23. Suppose -5*o = -z*v - 520, 0 = -v + 5*o - 0*o - 112. Let h = -83 - v. Calculate the least common multiple of h and 3.
57
Suppose 2965 = -103*z + 13265. Let f = 10 + 15. Calculate the least common multiple of z and f.
100
Let g = -55441/42 + 1319. Find the common denominator of (84/30)/(32/35) and g.
336
Let a = -6/51227 + -56291/139710. Calculate the common denominator of 65/126 and a.
6930
Let v = -7982 + 4672. Let r be 7/7 + 3322/v. Let q = 230153/29790 + r. Calculate the common denominator of -99/26 and q.
234
Let t be (6/30)/((-10)/(-200)). Calculate the lowest common multiple of (-12 - (-792)/77)/(t/(-98)) and -2*2*(-15)/2.
210
Let f be (-7)/(-3 - (-15)/6) - 2. Suppose n - 4*u = 22 + f, -3*n - 4*u + 38 = 0. What is the lowest common multiple of n and 84?
252
Calculate the smallest common multiple of 144 and (102852/51)/6 + -5*12/510.
1008
Calculate the smallest common multiple of 6 and 6/(-9)*(6 + -18) + 1099.
2214
Let h = 23 - 13. What is the lowest common multiple of (-812)/(-6) + (-7308)/(-1566) and h?
140
Suppose 0 = -2*i + 4*m + 5048, -3*i = m - 5672 - 1956. Calculate the least common multiple of i and 32.
20320
Let k be 3 - (0 - 3) - 4 - -6. Let r(s) = -8*s + 72. Calculate the smallest common multiple of 4 and r(k).
8
Suppose -z + 150 = 148. What is the lowest common multiple of 128 and ((-67 + 7)/z)/(3/(-8))?
640
Suppose 65 = 7*m - 2*m. Suppose 59*d = 15*d + 836. Let p = d - m. Calculate the lowest common multiple of p and 7.
42
Let b = 286633 - 2571887/9. Let h = b - 265783/306. What is the common denominator of (2/(-24))/(7 + (-3015)/430) and h?
102
What is the common denominator of (-87)/(-17) + 45/(-9) + (-1848)/30447 and 4/7?
4179
Suppose 990 = -6393*r + 6415*r. Calculate the lowest common multiple of r and 27.
135
Suppose -7*z = 9*z - 64. Suppose z*x = -2*h + 16, 8*x = 2*h + 6*x - 16. What is the smallest common multiple of 12 and h?
24
Let c be 3 + (-2094)/11313*-14. Let w = c - 15/419. Let v = -3/2423 - -176960/65421. Calculate the common denominator of w and v.
27
Suppose -4*w = 8, -w + 139 = s + w. Suppose s = 4*m + 467. What is the lowest common multiple of 2/9 - 6/m*591 and 4?
44
Let r be 14*2/(-4)*(-3 + 4). Calculate the lowest common multiple of 52 and (r + (4 - 45))*(-6)/8.
468
Suppose 109*v - 28*v - 26*v - 64900 = 0. What is the smallest common multiple of 190 and v?
22420
Let g = -59 - -23. Let y be 387/g*(-1 - -16). Let f = -287/2 - y. What is the common denominator of f and -17/12?
12
Let r(n) = -2*n - 12. Let h be r(-8). Suppose 6*c = 3*c - k + 11, 0 = -h*c + 2*k + 18. Suppose 3*m + 3 = 6. What is the least common multiple of c and m?
4
What is the common denominator of (356/480)/(15 - (-752)/(-48)) and -27/14?
560
Let w(d) = -d**3 - 13*d**2 - 25*d. Let j be w(-10). What is the common denominator of ((-64)/j)/(((-12)/40)/1) and -68/21?
105
Let z(o) = 2*o**3 - 9*o**2 + 3*o + 10. Let h be z(4). Suppose 3*j - 37 = j + l, 0 = 2*l - h. What is the least common multiple of j and 26?
260
Let t(g) = 4*g + 45. Let b be t(-12). What is the common denominator of 49/22 and 2 + 5/b - 835/(-510)?
374
Suppose -k - 710 - 328 = -u, -24 = -4*k. What is the lowest common multiple of u and 348?
1044
Let m(r) be the second derivative of 2*r**3 + 56*r**2 - 34*r. Let h(l) = l**3 - 3*l - 4. What is the smallest common multiple of h(3) and m(-8)?
112
Let t = 23 + -13. Let m = 509 - 496. What is the lowest common multiple of 20 and m - (-25)/t*(-12)/(-10)?
80
Calculate the least common multiple of 7170/9 - 42/63 and 10.
3980
Let l(f) = f**3 - f**2 - 24 + 16 + 8*f**2. Calculate the lowest common multiple of 50 and l(-4).
200
Let d = -86623 - -46776461/