and g.
102
Let t(n) = 2*n - 34. Let l(r) = r - 34. Let i(z) = -3*l(z) + 2*t(z). Let s be i(-7). What is the smallest common multiple of 12 and (-2)/(-3)*(-9 + s)?
12
Let p be -3 + -3 - (-713)/119. Let x = p - -485/1071. Find the common denominator of -41/72 and x.
72
Let i be (-7)/4*(1 + 23). Let j = -38 - i. Calculate the least common multiple of 2 and j.
4
Calculate the least common multiple of (-5)/(105/9) + (10/(-140))/(1/(-1574)) and 23 + 3*(-4)/6.
336
Let a = -4898392 + 293886781/60. Let h = -2859/10 - a. Let v = -445/2919 - -4/417. Calculate the common denominator of v and h.
84
Let b(j) = -j**2 + 11*j + 10. Let s = 485 - 478. Let i(u) = 14*u - 94. What is the lowest common multiple of b(7) and i(s)?
76
Let m = -11881 - -17936. Let p = 65829489/10 - 6589013. Let s = p + m. Find the common denominator of -83/2 and s.
10
Suppose 71*s - 242934 - 157596 = -8*s. What is the smallest common multiple of 910 and s?
35490
Let f = -52 - -49. Suppose m = 3*p - 116, -p + 32 = -m - m. What is the least common multiple of p and (-2 + 59)/3 + f/1?
80
Suppose 3928 + 3057 = 20*y + 1265. Calculate the smallest common multiple of y and 143.
286
Suppose -5*g = -2*q + 93, 27*g + 48 = 2*q + 31*g. Suppose -600 = -q*c + 4*c. What is the lowest common multiple of c and 48?
240
Let x(d) = 25*d**2 - 8*d + 5. Let l be x(4). Let i = l + -353. Calculate the lowest common multiple of 60 and i.
60
Let y be -1*4/8 + (-593519)/6870. Let w = y - -1303/15. Let a = w + -14873/458. Calculate the common denominator of 67/12 and a.
12
Let r = 10739 - 719516/67. Let s = -121 + 25. Find the common denominator of 56/s*(-1 + -25) and r.
402
Let p be (136/(-5))/((-11)/55). Let l be -5 + 65/15 + p/(-3). Let q = -44 - l. What is the lowest common multiple of 17 and q?
34
Suppose 149*z - 144*z + 480 = 0. Let d = z + 1147/12. Calculate the common denominator of (-139)/(-2)*(-1)/6 and d.
12
Let l = 15219277/108 + -140918. Calculate the common denominator of (-3)/14*(-185 + 180)*2 and l.
756
Let k(d) = -2*d**3 - 28*d**2 - 154*d + 22. Calculate the smallest common multiple of k(-5) and 304.
2736
Let i = -1042 - -1623. Let w be -2 - ((-8114)/(-7))/(1 - i). Let l = 59849/24360 - w. Find the common denominator of l and -35/8.
24
Let v(n) = -5*n. Let f = -3 + 1. Suppose -1287 - 1781 = -523*d - 413*d + 2548. Calculate the lowest common multiple of d and v(f).
30
Suppose -157 = t + 3*u - 206, -5*u = 45. Suppose 2*b + 5*n - 87 = 0, -5*b - n = 2*n - 189. What is the smallest common multiple of b and t?
684
Suppose f + 106 + 103 = 2*g, g = -5*f - 1056. Let t = -226493935/1068826 - 1/97166. Let b = t - f. Find the common denominator of b and 16/19.
209
Suppose 7*y + 398 = 496. What is the smallest common multiple of y and 16?
112
Let s = -477202 + 180382241/378. Find the common denominator of -19/1680 and s.
15120
Let l be 9 + 0/(10 + -23). Let p = 21 + -11. What is the lowest common multiple of (p/6)/(37/l + -4) and 30?
30
Let o(v) = 6*v - 162. Let k be o(-30). Let s = k - -362. Calculate the smallest common multiple of 90 and s.
180
Let b = 576 - 305. What is the common denominator of -7/144 and (-28)/98 + b/140?
720
Let g = 11454 - 5270. Calculate the least common multiple of 18 and g.
55656
Let v = -138 - -142. What is the smallest common multiple of (v/(-6)*-2)/((-4)/(-72)) and 40?
120
Let b = 18206 - 16686. What is the least common multiple of 800 and b?
15200
Let x = -49033/234 - -2784/13. Calculate the common denominator of -77/312 and x.
936
Let c = 56 + 28. Suppose -2*t - 3*k = 27 + 205, 0 = t + k + 114. Find the common denominator of -25/24 and (c/15)/(-7)*t/(-12).
24
Let x = 625263/50 - 12504. What is the common denominator of -87/16 and x?
400
Let n = 83341/320390 - -104/1393. Find the common denominator of n and 19/69.
690
Let y(w) = w**2 + 2*w + 7. Let g be y(-6). Let j = g + -25. Let k(x) = -x**2 - 10*x - 5. What is the least common multiple of j and k(-9)?
12
Let k be (-35)/10*108/(-7). Let o = 80 - k. Let b = 6/601 - 16894/6611. Calculate the common denominator of o and b.
11
Calculate the common denominator of -13/3 and (-17)/14 + (-180)/240.
84
Suppose -33 = -0*u - 3*u. Suppose 21 = 401*m - 398*m. Calculate the smallest common multiple of u and (m - 2) + (-8)/4.
33
Let b = -4092155 + 21573841081/5272. Find the common denominator of -5/3 and b.
15816
Let x(b) = 4*b - 34. Let w be (-3 - -5)/((-12)/(-10) - 1). Suppose -52 = -6*v + 26. What is the lowest common multiple of v and x(w)?
78
Suppose -452*n + 882 = -455*n. What is the common denominator of 16121/n*(-1)/(-91) and 107/12?
156
Let j = 78939713/990 - 79737. What is the common denominator of j and -9/1100?
9900
Let q = -39/33406567915 + -11275084134301901/7929917465391040. Let c = q - 1/29672. Calculate the common denominator of -13/32 and c.
64
Let o = 1/661 + -3977/7271. Let f be (1794/468)/(1 - (-7)/(-3)). Let p = 559/40 + f. Find the common denominator of o and p.
110
Calculate the common denominator of -58/55 and (((-3)/5)/(12/(-136)))/(671/305).
55
Let u = 91751/813 + 103961081/9756. Let r = u + -10768. What is the common denominator of -87/20 and r?
180
Let l = 3662520299/2038 - 1797115. Find the common denominator of -101/22 and l.
22418
Let h = -58 + 46. Let y be (-66)/(-8) - (-2)/(-8). Let z = y - h. What is the least common multiple of z and 50?
100
Let c be (-679)/42*-2 + 2/(-6). Let p be (-3)/(-2)*(-300)/9. What is the common denominator of c/p*(15 - 13) and 35?
25
Let a = 241 - 265. What is the common denominator of ((21/(-2))/(-7))/(a/40) and 9/7?
14
Find the common denominator of -14 + 978/(-2970)*-42 and 13/5.
165
Suppose l + 578 = 2*r - 344, -4*r + 1874 = -7*l. Calculate the smallest common multiple of r and 8.
1832
Let b(i) be the first derivative of -i**3/3 - i**2/2 + 118*i - 220. Calculate the least common multiple of 22 and b(9).
308
Suppose -2*r = -5*c + 4062, 0 = -0*c + c - 5*r - 817. Let w be c/(-1032)*19095/597. Let y = w - 2/8557. Calculate the common denominator of y and -131/6.
6
Suppose -139*d + 50*d = 41*d - 157300. Calculate the least common multiple of 10 and d.
1210
Suppose -5*h + 35 = -4*k, 10*k + 28 = 4*h + 12*k. Calculate the smallest common multiple of h + (-30)/6 - -4 and 19.
114
Let k = 750851/11 + -68169. Let d = k - 8629/88. Find the common denominator of d and (-49)/322*(-60)/28.
184
Suppose 20*y + 497 + 3503 = 0. Let u = -3466 - -76271/22. Calculate the common denominator of u and 220/8*(-3 - 596/y).
220
Calculate the common denominator of (626/(-2191))/(80/205 + 0) and (5/4)/(77/4).
616
What is the least common multiple of 216 and ((-1998)/7)/((-30)/210)?
7992
Let b(j) = -2*j**3 - 195*j**2 - 1593*j + 10. What is the least common multiple of b(-9) and ((-81)/(-6))/(2/8)?
270
Let s(y) = -y**3 + 20*y**2 - 38*y + 60. What is the least common multiple of 3060 and s(10)?
6120
Let t be 4/((-504544)/(-17604)) - (-1 - -1). Let n = -294832725/79686418 + t. Let b = 4/361 - n. Find the common denominator of 37/7 and b.
7
Let w be (-83)/(-2)*(-12)/30. Let u = 313/15 + w. What is the common denominator of u and 43/25?
75
Suppose -2*i + 0*i + 24 = 0. Let j(b) = 6*b**2 - 4*b + 38. Let v be j(-6). Suppose 0 = -22*g + v + 52. What is the smallest common multiple of g and i?
60
Suppose 3*p + 2130 = -3*f, -2*f - 2*p = -7*f - 3557. Find the common denominator of (-5)/30*f/804 and 59/14.
3752
Let n = 11753 + -4278123/364. Calculate the common denominator of n and -65/136.
12376
Let d = -94842 - -8535637/90. Find the common denominator of d and (940/(-36))/(-5) - 0.
90
Let a(w) = -79*w**2 - 3*w - 2. Let l be a(-2). What is the common denominator of 48/7 and (1708/l)/(-7) + 1/6?
273
Let c(m) = m**2 - 29*m + 52. Let u be c(27). Let d be 2378/20 - 5/((-25)/u). Let i = -5439/46 + d. Find the common denominator of i and -51/8.
184
Let g be ((-4)/6)/(-2) - (-604597)/42. Let o = -15367 + g. Let d = o - -994. What is the common denominator of 107/10 and d?
10
Suppose -5076*o = -5096*o + 3920. What is the smallest common multiple of o and 8?
392
Calculate the lowest common multiple of (2/(-12))/(65/(-29640)) and 106.
4028
Let q = 4396 - 4369. Suppose -2*c + 11 = 5*d, 0 = 6*c - 3*c - 3*d - 69. Calculate the smallest common multiple of q and c.
54
Suppose 10*d - 400 = -0*d. What is the common denominator of -