ple of j and 15?
15
Let y(m) = 5*m**2 + 19*m + 6. Calculate the smallest common multiple of 10 and y(-5).
180
Suppose -27*z = z - 1904. What is the least common multiple of z and 2?
68
Calculate the common denominator of -47/63 and -4*(-282)/(-540) - 12/(-90).
315
Suppose q + 4*z - 29 = -7, -q + 4*z = 10. Suppose 4*n = 2 + q. Calculate the least common multiple of n and (99/6)/((-3)/(-4)).
22
Let b(s) = -8*s**3 - 4*s**2 + 2*s + 1. Let w be b(2). Let j = 143 + w. Suppose -4*t - 12 = -j. Calculate the smallest common multiple of t and 22.
154
Let u(v) be the third derivative of v**4/4 - 18*v**2. What is the smallest common multiple of u(1) and 4?
12
Let l = 1174/5 - 1142/5. Calculate the common denominator of l and 36/19.
95
Suppose 5*v - 5 = -5*x, -3*x - 5*v - 3 = -0. Suppose -5*b - 41 = -x*f, -3*b + 3*f - 11 = 13. What is the smallest common multiple of 76/18 - (-2)/b and 11?
44
Let d = 144 + -79. Let q = d - 51. Calculate the smallest common multiple of 2 and q.
14
Calculate the common denominator of (1 - -1) + (-2)/27 and (2125/(-1350))/(4/12).
54
Let a = -3919469/70 - -55994. What is the common denominator of -33/133 and a?
1330
Suppose 20263 = 6*l - l - 2*u, -2*u + 4043 = l. Let y = l + -161963/40. What is the common denominator of y and -65/32?
160
Let v = -5497 - -132011/24. What is the common denominator of v and 143/48?
48
Suppose 5*c + 2*a - 26 = c, -a - 5 = 0. Calculate the lowest common multiple of c/(2/24*2) and 2.
54
Let w be (-66)/(-4) + 6/(-4). What is the common denominator of (1/14)/(2*w/288) and -20/11?
385
Let v = -1336/27 + 39986/783. What is the common denominator of v and 133/6?
174
Let a(q) = q**3 - 39*q**2 - 62*q - 140. What is the least common multiple of 1 and a(41)?
680
Let y = 13 + -35. Let k = -8 - y. What is the lowest common multiple of k and 94/6 - (-3)/9?
112
Suppose -2*v - 7*v - 72 = 0. Calculate the common denominator of -101/8 and (1 - (-18)/(-30))*(-790)/v.
8
What is the common denominator of (-209)/108 - ((-5 - -6) + -4) and -37/14?
756
Let z(x) = -3*x - 20. Let m be z(-6). Calculate the common denominator of -67/6 and ((-21)/189)/(m/(-110)).
18
Suppose 5*x - 20 = 0, 0 = -4*w - 0*w + 3*x. Suppose q + 37 = -5*z, -5*q + w*q = 2*z + 34. What is the common denominator of q and -1/18?
18
Let l(z) = z**3 + z**2 - 25*z + 22. What is the smallest common multiple of l(10) and 6?
2616
Calculate the lowest common multiple of 16 and 24/1*(-19)/(-57).
16
Let p(t) = -43*t - 197. What is the least common multiple of p(-7) and 195?
1560
Let c = 2052 + -22557/11. Let f = -92 - -62. Find the common denominator of f and c.
11
Let r = 26875/12 + -2238. What is the common denominator of r and (2/(-24))/((-5)/195)?
12
Let i(o) = -12*o + 6. Let x be i(-5). Find the common denominator of 2/3 - (-2233)/x and 85/2.
2
Let c = 173/3 + -287350/4983. Let i = 21605943724 + -430649670195469/19932. Let f = i - c. Find the common denominator of f and -15/28.
84
Suppose -5*k = -1 - 4, -2*k - 123 = 5*j. Calculate the common denominator of (60/14)/2 + 1 and ((-190)/j)/(80/75).
56
Let t be (10/4)/(20/(-40)). Calculate the common denominator of 139/12 and (t/(-5))/(-3) - (-23)/78.
156
Let q = -335 + 365. Calculate the smallest common multiple of 30 and q.
30
Suppose 169*z - 184*z + 960 = 0. Let s(a) = a**2 + a + 8. Calculate the lowest common multiple of z and s(0).
64
Suppose 20*m = 34*m - 1064. What is the least common multiple of m and 16?
304
Suppose 4*s - 67 = 13. What is the common denominator of (-51)/6*s/16 and -107/22?
88
Let m(s) = -s**3 - 5*s**2 + 6*s + 15. Suppose 5*q = -3*g + 102, 3*q + g - 99 = -37. What is the least common multiple of q and m(-6)?
105
What is the common denominator of (-636)/18*(-6)/80 and -24/95?
380
Let n be -9 + 2 + (-4)/2. Let t = -9 - n. Calculate the common denominator of ((1 - t) + -21)/9 and -7/6.
18
Let d = -495 - -692. What is the smallest common multiple of d and 6?
1182
Let v(h) = -h**3 - 26*h**2 + 27*h + 20. Let u be v(-27). What is the common denominator of 27/74 and ((-105)/u)/((-6)/20)?
74
Let j(g) = g + 71. Calculate the smallest common multiple of j(-11) and 15.
60
Let j = -20 - -25. Calculate the lowest common multiple of j and 260.
260
Let p(w) = w**2 - 8*w + 6. Let j be p(5). Let a = j + 23. What is the least common multiple of a and ((-4)/(-2))/(1/11)?
154
Suppose 0 - 3 = -r. Suppose 3*d - 6*d = -12. What is the least common multiple of 15/1 - r - 4 and d?
8
Let b = 229/527 + 1516088/2635. Let i = -74 + 654. Let r = b - i. Find the common denominator of 89/8 and r.
40
Let z = 80 - 295/4. Let w be ((-7462)/(-11))/(6/(-15)). Let q = w - -1700. Calculate the common denominator of q and z.
44
Suppose -2*f = -5*r - 73, -3*r = 2*f - 63 + 14. Let v = f + -27. Suppose 5*t - 5 + 3 = -3*i, t + 3*i + 2 = 0. What is the least common multiple of t and v?
2
Let h(j) be the first derivative of j**2 - 15*j - 4. Let g be h(10). What is the common denominator of -37/16 and 106/60 - (-2)/g?
48
Let f = 74 - 28. Let n(j) = j**3 - 12*j**2 - 36*j - 117. Calculate the smallest common multiple of n(15) and f.
414
Let i = 8097 - 283469/35. Calculate the common denominator of i and 25/273.
1365
Let f(t) = t + 13. Let m be (0 + 40/12)*3. Let q be f(m). Let h = 28 - q. Calculate the smallest common multiple of h and 2.
10
Let k be (-3)/18 - 724109/144. Let q = 3677/16 + k. Let o = q + 4804. Calculate the common denominator of -11/5 and o.
45
Let a = -699 + 741. Calculate the lowest common multiple of a and 91.
546
Calculate the common denominator of (0 + -6)*22/(-16) and (-2301)/(-520) - (1 - (-12)/(-10)).
8
Let n = 36073 + -13274967/368. Find the common denominator of n and 81/8.
368
Suppose 3*z + 4*n = -397 + 29743, 4*z = 4*n + 39100. Let c = z - 97697/10. Find the common denominator of (-118)/(-32) - -1*1 and c.
80
Let r(f) = -f**3 + 7*f**2 - 3*f - 2. Let h = 7368 - 7341. Calculate the least common multiple of r(5) and h.
297
Let p(w) = 13*w - 32. Let k(a) = -6*a + 16. Let o(v) = -5*k(v) - 2*p(v). Let u be o(7). Let h = 34 - u. Calculate the lowest common multiple of 22 and h.
22
Find the common denominator of ((-178783)/13090 - -13) + (-2)/(-10) and 67/510.
3570
Calculate the smallest common multiple of 10 and -12 + 6 + 10 + -3.
10
Suppose -h - 2*h + 3*c + 9 = 0, -h + 2*c = 1. Suppose -3*j + 26 = t, 2*t + 35 = 2*j + 7. What is the least common multiple of j and h?
70
Suppose -31 = -2*g + 39. What is the smallest common multiple of g and 25?
175
Let y(c) = c**3 - 8*c + 16. What is the lowest common multiple of 124 and y(0)?
496
Let y = 433/130 + 62/13. What is the common denominator of (-7)/(-28)*81/12 and y?
80
Let d = 4194/29 + -822517/5684. Calculate the common denominator of -121/336 and d.
2352
Suppose -5*m - 5 = -4*m. Let l(c) = -2*c + 4. Suppose -5*i + 0 = -15. Calculate the smallest common multiple of l(m) and i.
42
Suppose -2*r - 28 = 2*m, -m + 2*m = 2. Let k be ((-26796)/r)/((-10)/8). Let j = k + 1352. Find the common denominator of j and -17/8.
40
Suppose 5*y = 4019 - 669. Calculate the common denominator of (2/10)/(18/y) and 3/25.
225
Let n = -8 - -11. Let t(h) = -7*h. Let v be t(3). Calculate the common denominator of n + (v/24 - -3) and 143/12.
24
Let q = 58235 + -9084743/156. What is the common denominator of -70/39 and q?
156
Let w = 243 + -231. What is the least common multiple of w and 28?
84
Let q = 123328 - 34038685/276. Find the common denominator of q and -19/12.
276
Let w(l) = l**3 - 5*l**2 + 2*l + 4. Let r be w(3). Suppose 0 = -11*o + 132 - 44. What is the smallest common multiple of o and (-15*1)/(6/r)?
40
Calculate the common denominator of ((-7)/(-56)*-4)/((-135)/(-182)) and -38/45.
135
Suppose -3*s - s + 3*r - 201 = 0, 0 = -5*r - 25. Let k be (-194)/(-12) + 9/s. Let y = 0 + k. Calculate the lowest common multiple of 16 and y.
16
Let t be (14/4 - 3)*(-154)/2877. Let z = t + -12823/2055. What is the common denominator of 97/24 and z?
120
Let h(l) = l**3 - 3*l**2 - 2*l + 10. Calculate the lowest common multiple of 8 and h(3).
8
Let p be 1371/(-20) - (-2)/(14/21). Let w = p + 231/4. Calculate the common denominator of w and 59/7.
35
Let p = 65731/42 - 1563. Find the common denominator of p and 37/24.
168
Suppose 0 = 6*j - 10*j - 2800. What is the common denominator of (-1585)/j + (-2)/14*