p + 270 = f. Calculate the lowest common multiple of r and p.
6
Calculate the least common multiple of 35*(-37778)/(-637) + (-6)/(-21) and 48.
8304
Let z = -161 + 269. Find the common denominator of (-45)/75 + (-451)/(-360) + -2 and z/80*60/16.
144
Let f(y) = y**3 + 50*y**2 - 66*y - 681. What is the smallest common multiple of f(-51) and 70?
420
Let b(d) = 129*d**2 - 318*d + 638. Calculate the least common multiple of 518 and b(2).
518
Let r = -32070273/20 - -1604469. Let i = r + -956. Find the common denominator of -79/12 and i.
60
Let m(f) = -2*f**3 - 27*f**2 + 29*f - 58. Let b be m(-14). What is the common denominator of 11/12 and b/(-56) + -5 + 5?
84
Let z be (2/(-4)*169)/(3/(-6)). Suppose -3*h - p = -3*p - 101, 4*p = 5*h - z. Calculate the lowest common multiple of h and 1.
33
Let a be 4/((-10752)/81168306) + (-2)/7. Let r = 30196 + a. What is the common denominator of 15/8 and r?
64
Suppose 68*b = 56*b. Suppose b = -26*r + 2106 + 2002. What is the smallest common multiple of 12 and r?
948
Let n(s) = 3*s**2 + 3*s + 4. Let f be ((-78)/(-18) - 3)/(2/(-6)). Let o be n(f). Suppose 5*l + o = 10*l. Calculate the lowest common multiple of 5 and l.
40
Let s be 0/(-4) + (0 - -1). Suppose 33*m = -5457 + 5622. Calculate the least common multiple of -3 - -2 - (-1 - s) and m.
5
Let r = -4489 - -12289. Let p be (57921/r)/((-12)/(-16)). Let x = p - 1/975. Find the common denominator of x and -46/7.
70
Calculate the lowest common multiple of 9378 and 38 - 48 - (-49)/5 - (-305)/25.
18756
Let k = -6/17539 + -1033973/2420382. Find the common denominator of -127/12 and k.
276
Let i(v) = 9*v + 51. Let n(y) = 3*y - 5*y + 4*y + 5 - y. Let f(a) = -2*i(a) + 21*n(a). Calculate the smallest common multiple of f(0) and 6.
6
Let l(r) = -r**2 - 18*r + 177. Calculate the least common multiple of l(-25) and 360.
360
Suppose 0 = -p + 6*p - d - 2008, 5*p = 3*d + 2014. Let b = p + -394. Let f(w) = -w**2 - 10*w. Calculate the least common multiple of b and f(-7).
21
Suppose 16*h = 7309 - 1901. What is the lowest common multiple of h and 22?
3718
Let g(x) = -5*x**3 + 63*x**2 + 27*x + 5. Suppose 5*s - 13 = -3. Suppose -5*u + 20 = 4*d, -3 - s = d. What is the least common multiple of u and g(13)?
72
Let g(n) = -2*n**3 - 8*n**2 + n + 3. Let t be g(-4). Calculate the common denominator of 1362/72 + t + -8 and 71/147.
588
Find the common denominator of ((-39160)/2080 - (-1)/13) + -3 and (-1)/16*(-872)/(-12).
24
Let f(x) = -58*x + 252. Let u be f(7). Calculate the common denominator of -75/22 and (61/(-18))/(-4*u/112).
198
Let j = 75 - 43. Let k(f) = -f**3 - 12*f**2 + 12*f + 4. Let a be k(-13). Suppose -x - a = -3*d, x + 9 = 4. What is the lowest common multiple of d and j?
32
Let x = 10350 - 10323. What is the least common multiple of 11 and x?
297
Suppose 432 + 348 = 15*u. Suppose 3*t = 5*t - 4*i - 22, 0 = -2*i - 8. Suppose u = -t*j + 160. Calculate the smallest common multiple of 12 and j.
36
Find the common denominator of -5/7714 and (-17)/5 - -3 - (319/(-40))/(-1).
30856
Let a = -59504/16687 - -146/41. Let o = a - 32145/1628. Let q = 19775/6 - 3303. What is the common denominator of q and o?
12
Suppose -n - 3*h = -107, 4*n - 2*h - 478 = -4*h. Let j(x) = 29*x - 23. What is the least common multiple of n and j(1)?
366
Let u = -507 + 502. What is the lowest common multiple of ((-32)/(-6))/(2/9) and 9/u*15/(-9)?
24
Calculate the common denominator of 22/(-2) + (-12)/(-64)*118 and 49*4/(-122) + 2.
488
Suppose -3*u + 0*r + 66 = -3*r, 5*u = -r + 116. Let z = -1903 - -1950. Let l = z - u. What is the smallest common multiple of 33 and l?
264
Let w be (-1 - 1) + 34905/(-25). Let z = w - -1390. Let g = 19/10 - 3/20. Find the common denominator of z and g.
20
Let o = 4611 - 3974. Calculate the least common multiple of o and 1638.
11466
Suppose 0 = -5*c - x - 40, 26*c + 32 = 23*c + x. What is the common denominator of ((-18)/(-8))/((-33)/(-62)) and (-35)/(-40)*20/c?
198
Let p(u) = u**3 - 15*u**2 + 25*u + 5. Let c be p(13). Let a be ((-19)/(-4))/((-3)/(-12)). Let t = a - c. What is the least common multiple of t and 24?
216
Find the common denominator of 42/5 - (-1 - 1) and 10*(-7)/14 + (-27)/(-13).
65
Suppose -t = 3*b + 2302, 669 - 3737 = 4*b + t. Let p = 3846/5 + b. What is the common denominator of p and 245/60*380/(-350)?
30
Let d(c) = -c**2 - 17*c - 50. Let o be d(-13). Suppose 220 = 4*j + o*m - 3*m, 0 = 4*j - 2*m - 216. What is the lowest common multiple of j and 32?
224
Suppose -7210 + 777 = -39*h - 349. What is the least common multiple of 8 and h?
312
Suppose 11*y - 9*y + 68 = 0. Let p = 110 - y. What is the smallest common multiple of 44 and 4 + 11/(44/p)?
440
Let v = 1716 + -2581. Let g = v - -16427/19. Find the common denominator of (-532)/(-72)*(-6)/2 and g.
114
Let y(c) be the third derivative of c**5/15 + 3*c**4/8 + 5*c**3/2 - c**2. Let a = 695 + -700. Calculate the smallest common multiple of 12 and y(a).
420
Let m(i) = 2*i**2 - 8*i + 4. Let b be (-720)/(-15) - (3 + -1). Let g = -37 + b. What is the least common multiple of m(5) and g?
126
Find the common denominator of ((-7)/14 - 4/(-60)) + 12/(-30) and -8/69.
138
Let l = 148418221/760 + -195287. Calculate the common denominator of l and 97/532.
5320
Let h = 2815/4 - 694. What is the common denominator of h and 19/4006?
8012
Let n(s) = 8*s - 31. Suppose 4*m + 43 = -25. Let f be n(m). Find the common denominator of 1/(-3) - f/(-12) and 44/3.
12
Calculate the common denominator of -37/2628 and 2340/(-8064) - ((-186)/(-42) + -4).
21024
What is the lowest common multiple of 136 and (1 - -7)/((-885)/60 - -15)?
544
Let o(x) = -2*x + 44. Let l be o(21). Suppose 0 = 2*z + 8, 0*r - 4*r + l*z - 24 = 0. Calculate the least common multiple of 12 and r/(-10)*35/2.
84
Let x = 1793/920 + 1/920. Find the common denominator of -1 - -141*1/50 and x.
100
Suppose -607 = 3*n - 5*c, 197 = -n - 2*c + c. Let z = n + 264. What is the smallest common multiple of 35 and z?
455
Calculate the common denominator of (-18)/(-62)*(-3 - 403/(-78)) and (0 + 2/(-4))/(-13).
806
Let x = -3 + 5. Let t be -24 - (-16)/32*10*1. Let q = -11 - t. Calculate the least common multiple of q and x.
8
Suppose 11*n = 28*n + 2482. Let c = 216 + n. What is the smallest common multiple of c and 100?
700
Let r = -476758925/4144 + 115048. Find the common denominator of r and 61/112.
4144
Let h = 45684 + -45537. Let s = 6 - 4. What is the smallest common multiple of h and s?
294
Let g(v) = -3*v**2 - 22*v - 77. Let j be g(-20). Let p = 847 + j. What is the lowest common multiple of p and 7?
70
Suppose -4*f = 4*u + 19476, 4*f + 0*u = -3*u - 19471. Let q = -199409/41 - f. What is the common denominator of -37 and q?
41
Suppose -16 = 4*r, -z + 3*r = 70 + 157. Let x = 2191/9 + z. Calculate the common denominator of x and 9/245.
2205
Let y = 4564 - 3700. Calculate the smallest common multiple of 48 and y.
864
Calculate the lowest common multiple of (6 + -3)*12*(-6)/(-12)*3 and 56.
1512
Suppose 4891 - 1335 = p - 4*y, -3*y - 9 = 0. Let x = p - 92101/26. Calculate the common denominator of x and 91/8.
104
Suppose -2198 = -8*q + 2146 + 1672. Calculate the smallest common multiple of q and 376.
752
Let z = -2194049/63 + 34827. What is the common denominator of 4 + ((-4)/42)/((-176)/(-7557)) and z?
504
Let f = -28 - -22. Let n be 1/((-14)/(-12) + 4/f). What is the common denominator of (54 - n)*2*(-15)/96 and -8/5?
20
Suppose 0 = -21*a + 22 + 11 + 51. Let x(z) = -11*z. Suppose -12 = 3*b - 2*j, -b + 5*j - 2 = 15. Calculate the lowest common multiple of x(b) and a.
44
Suppose 125 = -16*z - 67. What is the least common multiple of 5 and (1/((-1)/z))/((-6)/(-16))?
160
Let l(p) = 2*p**2 + 22*p + 18. Suppose -3*o + 70 = -w, 3*w = -o + 6 + 4. Suppose -6*z + o = -8*z. What is the lowest common multiple of 22 and l(z)?
198
Let f = -2729671/72 + 37913. What is the common denominator of 59/348 and f?
2088
Let i = -40041/286 - -1836/13. Let u = 1/99 - -2267/990. What is the common denominator of u and i?
110
Let n = -3058/58401 - -4/567. What is the common denominator of n and 45/22?
6798
What is the common denominator of -59/10 and ((-740)/876 + 1)/(7/(-126)*6)?
730
Suppose -u - c = 3*u - 3, 2*u = 4*c + 24. Let m be (-20)/(-40)*-89*u. What is the common denominator of (-15)/(-30) - m/(-2) and -1