Let h = -14/61 + -681/488. Suppose 4*r - 40979 = 49373. Let t = -813299/36 + r. Find the common denominator of h and t.
72
Let x be 140509/459612 + (-4)/(-4). Let t = x - 2/12767. Find the common denominator of t and -29/36.
36
Suppose -3*i - 232 = 2378. What is the common denominator of (i/40)/((-9)/(-8)) and 9/(216/(-60)) - -17?
6
Suppose 3*z - 23*y + 27*y = 20, -3*z = 3*y - 21. Calculate the smallest common multiple of 11 and z.
88
Let s = 1664302/4629335 - -2/52015. What is the common denominator of s and (-2)/(2136/208 - (8 - -2))?
623
Let i be 84/616*(-80539)/3. Let d = -3658 - i. Find the common denominator of d and 11/4.
44
Suppose 5*f = -2*y + 10882, 6*y - 2179 = -f + 3*y. What is the smallest common multiple of 63 and (-6)/(-39) - f/(-52)?
126
Suppose 5*v + 15 = 0, -3*v + 12 = 3*i - 5*v. What is the common denominator of i + (-2)/(-8)*-59 and ((-18621)/(-567) + -31)/(4/14)?
36
Suppose 0 = 31*n - 16*n - 5460. What is the common denominator of -4*(n/72 - 4) + 3 and 23/63?
63
Let a be -7 - ((-794017)/252 + 2). Let b = 4270/23 - 305615/92. Let s = b + a. Calculate the common denominator of 37/6 and s.
18
What is the common denominator of 6/10*(-182)/(-12) and (-176)/(-8) + -12 + 312/(-130)?
10
Let x = 50356 + -3222869/64. Let n = -29965/6 - -5019. Calculate the common denominator of x and n.
192
Let p = 5767315184739/7042 - 818988235. Let o = p - 12/503. Find the common denominator of o and 6/57 + 1222/304.
56
Let z(p) be the first derivative of p**3 + 3*p**2/2 - 18*p + 21. Calculate the smallest common multiple of 20 and z(-4).
180
Let r = 12733 - 8148. What is the least common multiple of r and 2?
9170
What is the smallest common multiple of 960 and ((-14)/(-4))/((-98)/(-56))?
960
Find the common denominator of 0 + (-203)/(-66) + (-10 - -8) and -7/108.
1188
Let a(p) = 7*p**2 - p + 14. Suppose 5*x = -10, -3*x + 9 = -i - 5*x. Let q = 0 + i. What is the least common multiple of 2 and a(q)?
194
Suppose 17 - 13 = v, 3*g - 61 = 2*v. Let o(r) = 2*r**2 - 42*r - 68. Calculate the least common multiple of 2/15*-3*-50 and o(g).
120
Calculate the common denominator of -53*(22790/(-2850) + 8) and -37/15.
285
Let b(o) = 6*o - 46. Let c be b(7). Suppose 0*p = 7*p + 1512. Find the common denominator of (196/p)/(((-6)/c)/3) and -17/8.
216
Let y = -934 + 942. Calculate the smallest common multiple of 614 and y.
2456
Let n(p) = 2*p**2 - 8*p + 19. Let i be n(3). Suppose i*x + 270 = 19*x. What is the smallest common multiple of x and 30?
90
Suppose k - 3*k + 42 = 4*n, 2*n - 3*k - 9 = 0. What is the lowest common multiple of -2 + 1/2*76 - -1 and n?
333
Let k = -2442 + 2454. What is the least common multiple of k and 2372?
7116
Find the common denominator of 5/(-5) + (-9 - 190/(-21)) and -76/267.
1869
Let j = -1534 - -1541. Calculate the smallest common multiple of 797 and j.
5579
Let k = -6113/3 + 36743/18. Calculate the common denominator of -17/423 and k.
846
Suppose -4*d = -3*u - 9*d - 2, -2*u - 4*d = 0. Calculate the least common multiple of -5*((-96)/(-15))/u and 67.
536
Suppose -2*p = 4*k - 8, 6 - 4 = 4*k - p. Let t = -114479/20 - -5730. Find the common denominator of t and 1/k - (-195)/(-96).
160
Let g = -71 + 69. Let n(r) = 31*r**3 + 2*r**2 - 2*r - 6. Let h be n(g). Find the common denominator of (2 - h/4)/(3*-3) and -11/27.
54
Let g be 1967448/320 - 3/(-1). Let l = -717 + 6869. Let j = l - g. Find the common denominator of -53/12 and j.
120
Calculate the common denominator of ((-3526)/4592)/((-101)/(-4) - 4) and -27/1666.
8330
Suppose -4*q = -1020*y + 1025*y - 37, -2*q - 4*y + 20 = 0. What is the least common multiple of q and 786?
3144
Calculate the common denominator of 21/754 and (-13)/(-15) + -1 + 76064/1920 + -37.
22620
Let z be (-126)/(-725) + 20/(-150). Let u = z + 827629/4350. Let d = u + -184. Calculate the common denominator of d and -9/10.
10
Suppose -17*b - 105825 = -32*b. Let j = -42433/6 + b. Find the common denominator of -59/48 and j.
48
Suppose -5*m + 2*x = 6, -m + 4*x - 13 = -1. Let v be 1 - m - 5859/140. Let q = 4589/140 + v. Find the common denominator of q and 35/34.
238
Let s(r) = r**3 - 3*r**2 - 6*r + 16. Let f be s(3). Suppose 0*u - 3*u + 17 = -z, -u - 5*z - 21 = 0. Find the common denominator of 37/18 and (-1 + f + -4)*u/24.
18
Let q be (2 + (-119)/7)/((-6)/9380). Let o = -656679/28 + q. What is the common denominator of o and -143/36?
252
Let m be 2324/98*107*-1 + -4. Let n = m - -2537. Find the common denominator of 19/130 and n.
910
Suppose -284 = -2*j - 4*l + 2*l, -3*j - 5*l + 418 = 0. Let g(x) = x**3 - 18*x**2 + 32*x + 26. What is the lowest common multiple of g(16) and j?
1898
Let v = 1899 - 445. Let t = -9049 - -60833/8. Let h = v + t. Find the common denominator of -73/10 and h.
40
Suppose -3*g + 360 = g. Suppose 57 = -4*q + 105, 284 = 2*x - 3*q. Calculate the least common multiple of x and g.
1440
Let r = 5546 - 5024. What is the lowest common multiple of r and 45?
2610
Let o(l) be the second derivative of l**5/20 - l**4/4 + l**3/2 - l**2/2 + 16*l. What is the smallest common multiple of o(3) and (134/(-6))/((-2)/6) - 2?
520
Calculate the common denominator of 6*(-18)/768*(-68)/6 and 75/172.
1376
Let a = -1627/36 - -565/12. Find the common denominator of a and (-2)/(-3)*(-83)/(-4).
18
Calculate the common denominator of (-5140)/(-450) + (-1 - 11/1) and 76/9.
45
Let w = 547 + -548. Find the common denominator of w/((4/(-1010))/((-2)/10)) and 10/3.
6
Let w = 61 - 31. Let m = 127 + -115. What is the lowest common multiple of m*45/20 + -3 + 0 and w?
120
Let h = -708465/26 + 27252. Calculate the common denominator of h and -93/416.
416
Let v = 217482 - 110915657/510. Calculate the common denominator of -97/90 and v.
1530
Let m = -1508278 + 205125705/136. Let s = -779/120 - -7/60. Calculate the common denominator of s and m.
136
Let d(x) = -x**3 - 14*x**2 + 14*x - 4. Let t be d(-15). Let b = 44 - t. Let p(i) = 5*i**3 + i**2. What is the lowest common multiple of p(1) and b?
66
Let w be ((-1322)/220 + 8)*5326/(-3). Let j = w + 3535. Find the common denominator of j and 48/5.
55
Let n = 277/6 + -949/24. Calculate the common denominator of n and 137/480.
480
Let n = 5802051/601 - 9654. Suppose 163 + 149 = -8*r. Calculate the common denominator of r and n.
601
Let z = -13 + 29. What is the least common multiple of (-10537096)/(-8284) - 2/(-109) and z?
2544
Let t(h) = 7*h + 57. Let k be t(14). Suppose 151*o + 56 = k*o. What is the smallest common multiple of 10 and o?
70
Let b be (-5)/2*(-156)/130. Suppose i - 43 = 5*d, -2*d - b = i - 11. Calculate the least common multiple of i and 12.
36
Suppose 16*n + 193 = 513. Suppose 768 = -n*a + 2748. What is the least common multiple of 121 and a?
1089
Suppose -4*u = -3*j + 6, 5*j - 3*u + 7 = 39. Let b(d) = 13*d + 3. What is the least common multiple of b(6) and j?
810
Let t = -3027809/66 + 45877. What is the common denominator of t and (-100)/24*2/110*23?
66
Find the common denominator of 61/2275 and 8*3/96*(-978)/(-819).
13650
Suppose 0 = 11*z - 30 + 8. Suppose -o = -z*c - 59, 0 = -5*o - 2*c + 403 - 168. Suppose -g - g - 70 = 0. Calculate the common denominator of g and o.
1
Let u = -8 + 11. Let s(j) = j**u + j - 13 - j**2 + 13. What is the least common multiple of s(3) and 27?
189
Suppose -2*t = -0*t - 4*r + 300, 5*t = 2*r - 766. Let x be (-1)/(4/t)*-2. Let j = -65 - x. Calculate the least common multiple of 12 and j.
12
What is the common denominator of -9/44 and 2072/(-1504) + (2/4)/((-9)/(-18))?
2068
Let t = 258 + -213. Let i = 6100 + -61069/10. What is the common denominator of (-66)/(-297) - (-179)/t and i?
10
Let z = 4115 - 3959. What is the lowest common multiple of z and 44?
1716
Suppose 3 = 2*k - 13. Suppose 155*i - 808 = 1982. Calculate the smallest common multiple of i and k.
72
Let k = 10022008597381/4765 + -2103254699. Let t = 3/1906 - k. What is the common denominator of t and 64/33?
330
Let h = -2343288415/2838 - -825683. Find the common denominator of 27/86 and h.
2838
Let z = 6169/8224 + 8/257. Let g = 1904143787245/193012542 + 1/10722919. Let v = g + -9871. What is the common denominator of z and v?
288
Find the common denominator of 99/64 and (-195)/28*(8/(-9) - (-37)/74).
192
Suppose -4*n - 3*h + 274 + 411 = 0, -h - 5 = 0. Suppose 80*w = 73*w + n. What is t