nator of q and f?
2
Calculate the common denominator of -14*(-5)/51870*42/4 and -105/104.
1976
Let t = 1070 + -315. Let z = t - 461. What is the least common multiple of 16 and z?
2352
Let x(w) = w**3 + 19*w**2 + 52*w - 112. Calculate the lowest common multiple of 1243 and x(-13).
2486
Let h be 2/4*(75 + (-3 - -2)). Suppose 2*f = l + 4*f - h, 60 = 2*l - 3*f. What is the smallest common multiple of l and 69?
759
Let w be (-232)/(-29) + 43 + -2. Suppose w*f = 51*f - 98. Calculate the least common multiple of 119 and f.
833
Let p(v) = v**2 - 21*v - 302. Suppose 14 + 26 = 4*c. What is the least common multiple of c and p(-10)?
40
What is the common denominator of ((-21)/28)/(3/(-1 - -10)) and (-16)/((-24)/(-6)) - (-94)/32?
16
Let u = -7504282/5 - -37320706/25. Let t = u - -8030. Calculate the common denominator of ((-62)/16)/(5/(-4)) and t.
50
Let t = -162 + 169. Suppose 0 = 8*j + t - 135. Suppose 61 = 4*p - 3*k, -2*k - 5 - 73 = -5*p. What is the least common multiple of p and j?
16
Suppose -12*a + 17*a + 5 = 0. Let l = 31 + a. Let v = -27 + l. Calculate the lowest common multiple of 3 and v.
3
Find the common denominator of (-1)/(-5) - 8007/(-340) and 139/1266.
2532
Find the common denominator of 13222/(-549792) - (-920)/31740 and -62/5.
59760
Let z be (-64)/34*-1 + 118/1003. Suppose -2*l + z*n = -40, n + 64 = 5*l + 5*n. What is the smallest common multiple of 20 and l?
80
Suppose 77*z + 5*a = 80*z - 61, 4*z + a = 89. Calculate the lowest common multiple of 5500 and z.
5500
Let f be 2*535/70 + 4/(-14). Suppose -16*a = -f*a + 25. What is the common denominator of -32/15 and (-1 - -7)/((20/a)/2)?
15
Let q = 264 + -255. What is the smallest common multiple of 77 and ((-21)/(-14))/(q/378)?
693
Let z(g) = g**3 + 6*g**2 + 15*g - 67. What is the least common multiple of 135 and z(7)?
675
Suppose p + 3*v = -1884, -4*v - 495 = 2*p + 3263. Find the common denominator of -3/8 and p/630 - 3*1/30.
120
Suppose 2*w = w - 3*z, -7 = 2*w - z. Let g = -38645/8 - -4823. Find the common denominator of 2/(-80)*474/w and g.
40
Let m = 264476 + -2782287517/10520. Calculate the common denominator of -67/2 and m.
10520
Let v(r) = 7*r**3 - r**2 - r + 2. Let d be v(2). Let s = d - 50. What is the least common multiple of (-18)/(-12)*(-272)/(-6) and s?
68
Let r = -387989336/909 + 426831. What is the common denominator of r and -1/117?
11817
Let g(w) = -w**3 + 14*w**2 - 50*w + 66. Calculate the least common multiple of 1180 and g(8).
5900
Suppose 5*q + 5*g = 115, 304*g + 84 = 4*q + 310*g. What is the least common multiple of ((-846)/(-12))/(2/4) and q?
1269
Let m be 6 + (-1*1 - (19 + -17)). Suppose -m*w = -7*y + 8*y, -28 = -5*y - w. What is the least common multiple of 18 and y?
18
Suppose 0 = -436*v + 435*v + 2*o + 1265, -3*v + 5*o + 3796 = 0. What is the smallest common multiple of v and 1?
1267
Let y = 4142 - 4106. What is the lowest common multiple of 212 and y?
1908
Let d be ((-1578)/(-10))/((-11)/55) - -4. Let q = d + 797. Suppose 18 = 2*o + 3*l, -5*l = -5*o - 3*l + 64. Calculate the least common multiple of o and q.
12
Calculate the smallest common multiple of 110 and 2/(-12) - (-5 + (-3786)/36).
110
Let d = 569/3 + -92750/489. Calculate the common denominator of d and 67/1630.
1630
Let i(n) = n**2 + 18*n + 122. Suppose -24*m + 12*m = 120. What is the smallest common multiple of 6 and i(m)?
42
Calculate the lowest common multiple of ((0 + 2)*-2 - -170) + -2 and (90/144 - 1) + (-51)/(-8).
492
Let u(w) = 9*w**2 - 85*w + 100. What is the lowest common multiple of u(10) and 3550?
10650
Let a(z) = -z**2 + 3*z + 2. Let r(v) = -2*v - 27. Let m be r(-15). Let c be a(m). Suppose -c*f + 2 = -6. Calculate the lowest common multiple of 26 and f.
52
What is the least common multiple of (-152)/(-95) + 24/10 and 1353?
5412
Let w = 288 - 286. Suppose -88 = -w*b + 2*q, 17*b - 13*b - 152 = -2*q. What is the least common multiple of 10 and b?
40
Suppose 225*l + 36 = 222*l. What is the common denominator of (l/39)/(-2) + (-10770)/(-1820) and 4/6*69/20?
70
Let t = 24 - 17. Suppose 0 = -t*o + 44 - 30. Calculate the lowest common multiple of 22 and o.
22
Let m = -8 + 12. Let q = 51 + -25. Suppose a - q = -3*s, -s - 16 = -m*s + a. What is the smallest common multiple of 18 and s?
126
Let r = 55867141/340 + -164315. Find the common denominator of r and 83/136.
680
Let s be 1 + (-9)/11 - (-630)/165. Suppose -2*m + s*t = -22, -12*t = -5*m - 13*t + 77. What is the lowest common multiple of m and 21?
105
Let x(f) = -f**3 - 9*f**2 - 5*f - 59. What is the lowest common multiple of 845 and x(-10)?
5915
Let s = -199/1210 - 178559/38115. Let g = 5/18 + s. What is the common denominator of g and 5*((-8)/(-20) + 4)?
7
Calculate the lowest common multiple of (2780/14 + 0)/((-458)/(-1603)) and 50.
6950
Let i = -272 - -353. Suppose 3*g - i = -3*r - r, 5*g = -2*r + 37. What is the smallest common multiple of r and 87?
609
Let a be (80/(-15))/(((-6)/27)/(-1)). What is the common denominator of (2/a)/((-11)/1958) and 33/10?
30
What is the common denominator of 62/(-15)*57/(-76) and 36/(-87) - 17/(-34)?
290
Let m(n) be the second derivative of -11*n**3/6 - 64*n**2 - 202*n. What is the least common multiple of 7 and m(-16)?
336
Let d = 11/2 + -173/32. Calculate the common denominator of 2589/1932 - ((-93)/(-7) - 13) and d.
736
Suppose -9 + 1 = -2*s. Suppose -2*o + 282 = 3*w, -2*w - 548 = -4*o - 0*w. Calculate the smallest common multiple of o and s.
276
Let i = -81 + 129. Suppose -4*r = -r - i. Let l = 17 + -7. What is the lowest common multiple of r and l?
80
Let o(h) = -h**3 - 29*h**2 + 333*h - 324. Suppose 4*u + 75 = 5*u. What is the lowest common multiple of o(-38) and u?
450
Suppose -3*u + l = -15, 11 - 2 = -u + 5*l. Suppose -d = -2*j + 10, -j - 2*d - u + 1 = 0. Calculate the smallest common multiple of j and 6.
6
Let z be ((-191342)/(-145))/((-84)/(-46) + -2). Let w = 7598 + z. Calculate the common denominator of w and 914/84 - (-4)/14.
30
Let h = 3494/15 + -1337/6. Calculate the common denominator of ((-14)/(-6))/(20/(-21)) and h.
20
Let r = 101404131/1332730 + -18334/241. Calculate the common denominator of r and -11/4977.
49770
Suppose y + 6 = 14. What is the lowest common multiple of y and (-114*7/126)/(2/(-24))?
152
Let d(p) = 4*p + 35. Let q be d(-14). Let y = q - -10. Let w(i) = i + 14. What is the lowest common multiple of 8 and w(y)?
24
Let q = -78370/199 + -23529356/6567. Suppose t - n - 7957 = -t, 0 = -5*t + 4*n + 19894. Let u = q + t. What is the common denominator of 101/12 and u?
132
Let d = 101236/40803 + -873/406. Find the common denominator of d and -48.
402
Let v = 86 + -79. Suppose v*z - 84 = 3*z. Calculate the smallest common multiple of 28 - (2/(-1) - -3) and z.
189
Let l = 270/31 + -7791/713. Calculate the common denominator of l and -94 - -141 - (-791)/(-14).
46
Let f = 1039989 + -1634862767/1572. Calculate the common denominator of f and 46/393.
1572
Let n(p) = p**2 + p + 15. Let f be n(14). Find the common denominator of (-57)/22 - 2/(-2) and 15/(-12)*(-423)/f.
220
Let r = 156 - 430. Calculate the lowest common multiple of (-22)/44 - r/4 and 9.
612
Suppose 7*o - 98 = 42. Suppose 2*d + o = 7*d. Suppose 3*a - 8 = -d*c + 83, 3*a - 3*c = 105. Calculate the lowest common multiple of 18 and a.
198
Let c = -203 + 199. Let o(n) = 7*n**2 + 21*n. Calculate the smallest common multiple of o(c) and 91.
364
Let d = -9503 + 170971/18. Suppose -n + k + 234 = 0, 5*n - n + 4*k = 944. What is the common denominator of 6/18 + n/168 and d?
504
Let c(k) be the second derivative of 8*k**3/3 + 25*k**2 - 14*k. Let w be c(-5). What is the common denominator of ((-219)/w + -1)/(-1) and -42/13?
130
Suppose -361*y - 978 = -355*y. Find the common denominator of y/40 + (36/(-20))/(-9) and 12/(-15) + (-3)/12.
40
Find the common denominator of (-230)/84 + (-1)/6 and (-8 + 2 + -2)*63881/184098 + 3.
1281
What is the smallest common multiple of (-15)/210 + 374*18/168 and 104?
520
Suppose -2*b - b - y = 58, -2*b = 2*y + 40. Let q = -240 - -287. What is the common denominator of -131/6 and q/10 - 38/b?
30
Let j = -11211 - -18433/2. Let v = 39817/20 + j. Calculate the common denominator of v and (-16 - -2)/((-16)/26).
20
Let d = -3399 - -105342/31. Let t = d + -807/248. What is the common denominator of t and 85/4