576*3/(-10) and -91/1908.
19080
Suppose 3*v - 4*i = 3324, -590*v + 586*v + 4*i = -4424. What is the lowest common multiple of v and 220?
1100
Calculate the common denominator of -7/492 and 590/(-580)*-10*(-7)/4305.
14268
Let l(n) = -7*n**3 - 9*n**2 + 16*n + 4. Suppose 22 = 2*r + 4. Let m be l(r). Let q = m + 102359/18. Find the common denominator of 79/12 and q.
36
Suppose 14*v - 11 = 3*v. What is the least common multiple of (0/v + 35)*(-231)/(-539) and (-97)/(-4) - 1/4?
120
Let d(u) = -u**3 - 13*u**2 + 36*u + 18. Let t be d(-15). Find the common denominator of (t - -19)/(-3 + 7) and -31/5.
20
Let v = -2438/7 - -2087/6. Find the common denominator of v and -113/770.
2310
Let f = -11409 - -878468/77. What is the common denominator of f and -76/21?
231
Suppose -10*o + 24 = q - 7*o, -11*q = -o - 230. What is the common denominator of q and -27/1130?
1130
Let o(c) = 2*c**3 - 7*c**2 - 39*c + 69. What is the smallest common multiple of 185 and o(8)?
1665
Let y(g) = -g**2 - 19*g - 30. Let q be 7*3/(-12)*-16. Let p = q - 45. Calculate the least common multiple of 3 and y(p).
12
Let h(i) = -159*i - 468. Calculate the least common multiple of h(-3) and 19.
171
Suppose 3*r - 1 + 0 = -2*u, -2*r - 2 = 0. Suppose -u*y - 2*y + 132 = 0. What is the smallest common multiple of (-5)/(5/(-6)) - (-27)/(9 + 0) and y?
99
Let u = -17677/12 + 1484. What is the common denominator of 920/(-432)*3 + 6 + (-6)/(-2) and u?
36
Let n(w) = w**2 - 9*w - 28. Let f be n(12). Let r be f*((-4)/8 - -1). Calculate the lowest common multiple of 12 and r + (-9)/((-9)/34).
228
Let f be -6 - (-2 - (-7 - 37)). Find the common denominator of (-6)/8 - 60/f - 8 and -9/80.
80
Let j(i) = 2 + i - 5*i**2 - 6*i + 6*i**2 + 3*i. Suppose 0 = 9*b - 3*b - 216. What is the lowest common multiple of b and j(2)?
36
Let j = 1/52049 + -3332801/86661585. Calculate the common denominator of 46/27 and j.
4995
Find the common denominator of -3/50 and ((-84)/(-80))/7*-1*93/(-36).
400
Let f = 2/6891531 - -842048606728/130939089. Let q = 85038283/13224 - f. Let l = -3/58 + q. Find the common denominator of -40/33 and l.
264
Let g = 176 - 166. Calculate the smallest common multiple of (34 - 10)*6/4 and 2/(-10) + 82/g.
72
Suppose -15*l + 56760 = 33*l + 38*l. What is the smallest common multiple of 1100 and l?
3300
Let q = 1052 + -866. Let i = -174 + q. What is the smallest common multiple of i and 24?
24
Let h(z) = 1481*z - 4439. What is the smallest common multiple of 106 and h(3)?
212
Let c be 0 + (-9)/((-27)/12). Suppose -w + 5*a = -0*a - 72, 2*a = c*w - 306. Let f = -68 + w. What is the lowest common multiple of f and 30?
90
Let i be 143 + ((-20)/(-16) - (-2)/(-8)). Let d = -15 - -31. Calculate the lowest common multiple of 6/(i/904) - (-2)/6 and d.
304
Let j be 1/5 + (-3913)/315. Let z = 85/9 + j. Calculate the common denominator of 1 + -7 + (-202)/909 and z.
9
Let j(h) = -4*h**3 + h**2 + 2*h + 2. Let n be j(-1). Suppose 114 = n*x + 2*i, 3*i - 63 = -3*x - 0*x. Calculate the least common multiple of x and 12.
24
Let t = -190/69 + 5867/552. Let q = 535 - 40. What is the common denominator of t and (q/(-30))/(-32 + 1)?
248
Let o(a) be the first derivative of a**3/3 - 19*a**2/2 - 2*a + 227. What is the smallest common multiple of o(20) and 260?
2340
Let s be (-3)/(-2) - (220/(-8))/11. Let b be 1/(-4 - (-546)/136). Find the common denominator of 75/16 and (s/(-20))/(b/(-1010)).
272
Let n = -73 + 104. Let c = n - 73. What is the common denominator of (-9)/(-63) + 391/c and 22?
6
Let p(t) = t**2 - t - 21. Let a be p(-5). Suppose a*b = 3*b + 258. What is the common denominator of b and -2/31?
31
Calculate the lowest common multiple of 68 and 0 - -2 - (13 - 7 - 40).
612
Let p = 15965 + -13355. What is the smallest common multiple of 870 and p?
2610
Let i(u) = -7*u - 6. Let j(h) = -h - 1. Let r(x) = i(x) - 2*j(x). Let q be r(-14). Let y = q + -62. Calculate the least common multiple of 10 and y.
20
Let j = 5432294547132239450594581/36083752 - 150546831912940755. Let r = j - 20/145499. Let b = 11/31 - r. Find the common denominator of 53/2 and b.
8
Let d(t) = 13*t + 13. Let z(x) = x**3 + 3*x. Let u be z(2). Suppose -2*h - 2*q + 2 = -0*h, 2*h - 4*q = u. What is the least common multiple of 4 and d(h)?
52
Let g(f) = f + 15. Let o be g(-15). Suppose 3*p + 6*m - m - 104 = o, -23 = -p - 4*m. Let y = p - 31. What is the least common multiple of 4 and y?
12
Let c be (-6816051)/1148112 - (-2 - 1 - -1). Let u = -6/7973 + c. Find the common denominator of u and 1 - (-130)/(-24) - -2.
48
Let h be 2 + (-1243)/(-77) + (-3)/21. Let m(v) = -v + 40. Calculate the smallest common multiple of m(h) and 98.
1078
Let y(c) = 4*c - 1. Let s be y(-2). Let i = s + 1. Find the common denominator of -18/7 and (-3)/(-36)*(-426)/i*-2.
56
Suppose -2*t + 0*t - 91 = -5*s, t = 3*s - 48. Let o = 33 + t. Suppose -3*h + o = -3. Calculate the lowest common multiple of 11 and h.
11
Let o = 542/21 + -7225/252. Let h = -217925/33 - -6602. Calculate the common denominator of h and o.
396
Suppose -2*i - q = -9, 7*i - 9 = 4*i + 3*q. Calculate the common denominator of 71/10 and i + (4 - 57/60) - 1.
20
Let f = 97 + -89. Calculate the smallest common multiple of 20 and 1/((-20)/f)*(-70)/14.
20
Suppose -12*p = 4*d - 9*p - 108, p = -4*d + 108. Calculate the lowest common multiple of d and 162.
162
Let c(w) = -4*w - 54. Let s be c(-14). Suppose b = 5, s - 34 = -p - 5*b. What is the lowest common multiple of 947 and p?
6629
Suppose 7*a - 60 = 21*a - 34*a. What is the lowest common multiple of a and (-51 + 0)/((-1)/1)?
51
Suppose -u - 3*u + 8 = 0. Suppose 0 = -u*p + 4*k + 248, -2*k - 563 - 89 = -5*p. Suppose -3*h = 3*h - p. Calculate the lowest common multiple of h and 20.
220
Let l(o) = 313*o + 1267. Suppose -2 + 12 = v. What is the lowest common multiple of l(-4) and v?
30
Find the common denominator of -53/710 and 41105/92300 - (770/91 - 8).
1420
Let a = -1227617541/42437 - -28928. Let y = a + -586182241/339496. Let m = 1739 + y. Find the common denominator of -1/34 and m.
136
Let b(s) be the first derivative of 5*s**2/2 - 18*s - 77. Suppose 3*m = 14 + 1. Calculate the least common multiple of b(m) and 4.
28
Find the common denominator of -3/320 and (-253)/20240*5/34.
5440
Let a = 710549/8 - 75316241/848. Let f = a + 1/106. Calculate the common denominator of f and 113/30.
240
Find the common denominator of 65/8 and (-2)/(-28)*(-16 + 4024/224).
392
Let j = 364133 + -72098485/198. What is the common denominator of 1/(-2) - (-408)/64 and j?
792
Let l(y) = -2*y**3 + 6*y**2 + 7*y + 7. Let z = -25 + 29. Calculate the least common multiple of 75 and l(z).
75
Suppose 0 = -20*x - 933 + 2853. What is the least common multiple of 64 and x?
192
Find the common denominator of 442/(-68) + 3/1 + (-7574)/(-2178) and -47/605.
10890
Suppose 24 + 0 = 4*a - b, 0 = 5*a - 2*b - 30. Suppose -r - 82 = -4*u, -a = 4*u - u. Let d = r + 65. Calculate the common denominator of -17/22 and d.
22
Let c(s) = s**3 - 4*s**2 - 3*s + 6. Let o be (-4 - 45/(-10))/((-1)/4). Calculate the smallest common multiple of o + 4 + (3 - (2 + 1)) and c(5).
16
Let q be (-222367)/(-3) - (-12)/(-9). Let j be (q/30)/(1 + 0). Let g = -2463 + j. Find the common denominator of 23/14 and g.
70
Suppose 2*v - 7*v = 2*j - 614, 5*v - 1535 = -5*j. Let o = 437 - j. Calculate the lowest common multiple of o and 5.
130
Let g = -3 + 5. Suppose -y = -5*t + 6, t + 3 = g*y - 21. Suppose 0 = 71*v - 88 - 1474. What is the smallest common multiple of y and v?
154
Calculate the common denominator of (-30 - -26)/(-40)*-101*1 and -105/3298.
16490
Let t = 983 - 814. What is the lowest common multiple of t and 1027?
13351
Find the common denominator of (1/(-4))/(-117*3/4428) and 19/884.
884
Let u = 228/13 + 259/26. Let q be (-520813)/82 + (2 - 1). Let b = 6351 + q. Calculate the common denominator of u and b.
82
Suppose 0 = m + 71*m - 144. What is the least common multiple of 3424 and m?
3424
What is the common denominator of 123/400 and ((-22)/48)/((-1782)/143 + 14)?
2400
Let z = 2583 - 23267/9. Calculate the common denominator of z and (-8)/(-28) + (-440)/658.
423
Calculate the common denominator of 1819454/(-87864) + 20 + 3/4 and 163/66.
34518
Let i(q) = q**3 + 6*q**2 - 5*q - 8. Calculate the least common multiple of i(-3) and 742.
