 = l**2 + 14*l + 6. Let v(m) = -2*m**2 - 28*m - 10. Let d(p) = 2*v(p) + 5*z(p). What is the smallest common multiple of d(-14) and 10?
10
Let u(j) = j**2. Suppose 0 = p + 4*p + 4*k + 6, 5*p + 2*k = -8. Suppose 31 - 119 = -22*b. What is the smallest common multiple of u(p) and b?
4
What is the lowest common multiple of 99 and 17366/10 + (2 - 184/115)?
19107
Suppose -25*m - 12 = -21*m. Calculate the common denominator of (((-66)/10)/m)/(2/25) and 131/18.
18
Let j be (-2)/(-4) - (-3 - 156985/315). Let p = j - 3564/7. Find the common denominator of p and 131/18.
18
Let a = -1824 - -2653. What is the smallest common multiple of a and 8?
6632
Let l = -835012/11 + 1733486243/22836. Calculate the common denominator of -97/5190 and l.
10380
Let h(u) = -u + 3. Let i be h(0). Suppose 5*s + 23 - i = 5*n, n - 2*s = 2. Let b(f) = -114*f - 12869. What is the smallest common multiple of b(-113) and n?
78
Calculate the lowest common multiple of 224 and 4/26 - -66*176/208.
224
Calculate the common denominator of 1 - 7 - (-15 + 1205/105) and 151/720.
5040
Let q be (-433)/222 + (-3)/9. Let h = -758039/331890 - q. Let y = h + -124081/17940. What is the common denominator of 61/33 and y?
132
Suppose 4*u = 9*u + 15. Let w(l) = -8*l - 6. Suppose -3*k + 9 = -0*k + 3*q, 3 = -q. Calculate the least common multiple of k and w(u).
18
Let g(x) = x**3 + 10*x**2 + 7*x + 4. Let v be g(-5). Find the common denominator of (v/10)/(24/10) and -1*6/30 + (4942/220)/(-7).
132
Let t(f) = -124*f + 350. Calculate the lowest common multiple of 565 and t(1).
1130
Suppose -2*a + 3*y = 103, -3*a + 3*y = 5*y + 161. Let j be (5/10)/(2/(-124)). Let r = j - a. Calculate the smallest common multiple of r and 6.
66
Let r be 10/8 + 80/(-64). Suppose r = -f + 48 + 44. Let v = -83 + f. Calculate the lowest common multiple of 5 and v.
45
Let d(l) = -l**3 + 36*l**2 - 26*l + 11. Let a(u) = -21*u + 56. Let k be a(1). Calculate the smallest common multiple of d(k) and 16.
2608
Let r = -4769/2 - -2433. Calculate the common denominator of -81/34 and r.
34
Let z = 11245 + -7562. What is the smallest common multiple of z and 10?
36830
Suppose 0 = 5*a + w + 13535, -2*a - 2*a = 3*w + 10817. Let o = a + 151653/56. Find the common denominator of o and 61/10.
280
Let i = -249 - -177. Let s be (1 + (-21)/(-12))/((-3)/i). Suppose 0 = g - 7*g + s. What is the lowest common multiple of g and 9?
99
Let s = -235 + 335. Let b = s - 45. What is the smallest common multiple of b and 10?
110
Let q be -4*100005/5334 + (-2)/2. Let u = q - -90/127. Let l = u - -2099/21. Find the common denominator of l and 137/6.
6
Suppose -v = p + 1 - 2, 3 = -p - 3*v. Suppose 2*x = o + 5, 4*x - p*o - 5 = 2. Suppose -11*d = -11 - 66. Calculate the least common multiple of x and d.
28
Suppose -100*i + 105*i - 25 = -c, 0 = 2*c + 4*i - 32. What is the smallest common multiple of c and 1*10 + (-4)/(-2)?
60
Find the common denominator of -51/256 and 735/2592*(-183)/(-854).
2304
Calculate the smallest common multiple of (6/10)/(1/460) and 828.
828
Suppose 2433 = 4*b - 4*h + 20973, -3*b - 2*h = 13930. Let c = b - -46493/10. Find the common denominator of 71/40 and c.
40
Let p(j) = -21*j**2 + 2*j + 18. Let g be p(-6). Find the common denominator of -13/22 and (-155)/4*(-1 - 738/g).
550
Suppose -10*a = 7445 - 10775. Calculate the least common multiple of 111 and a.
333
Let i(v) = -v**3 + 6*v**2 - 2*v + 14. Suppose -22 = -2*g - 3*l - l, -4*g = -l - 89. Let p = 71 - g. What is the least common multiple of p and i(6)?
50
Suppose 3*z + 5*b + 12 = -8, -2*z - b = 4. Suppose z = -2*c - 2 + 18. Let i = -6 + c. Calculate the least common multiple of 16 and i.
16
Let i be 10425/(-432) + 1/2. Let s = i + 267/16. What is the common denominator of (2/(-80))/((-76)/1805) and s?
288
Suppose -188 = -3*w - 23. Suppose 0 = -w*g + 53*g + 2. Calculate the common denominator of (0 - 2) + g + 117/270 and -65/24.
120
Let j = 316 - 211. Let c = j + -97. Calculate the smallest common multiple of 102 and c.
408
What is the lowest common multiple of 176 and (-30*308/63)/((-6)/9 - 0)?
880
What is the lowest common multiple of (-128)/(-66) - 24/(-396) and 8?
8
What is the lowest common multiple of (-60)/18*(-15 + 17 + -5) and 59?
590
Let k(j) = -17*j - 1. Let r be k(-5). Suppose 3*w + 0*w = r. What is the least common multiple of 40/(25/((-375)/(-60))) and w?
140
Let a = 16 + -34. Let b = 18 - 42. Let f = a - b. What is the lowest common multiple of 21 and f?
42
Calculate the smallest common multiple of 2464 and (1350/(-12))/(-5) + (-7 - (-65)/10).
2464
Suppose 5*h + 2*a = 370, 2*h + 5*a - 7 = 162. Let q(x) = 2*x**2 + 13*x - 354. Let d be q(-17). Calculate the common denominator of -41/18 and d - -2*(-118)/h.
18
What is the common denominator of (-3)/((-45)/(-43))*(-203)/(-609) and 53/345?
1035
Let r = -177/23 + 1676/161. Find the common denominator of r and 69/1070.
7490
Suppose -2*r + 690 = -278. What is the lowest common multiple of r and 22?
484
Let g = -37843907/180 - -210243. What is the common denominator of g and -101/120?
360
Suppose -m + 228 = -3*r, -m - 963 = -5*m - 5*r. Let u = -216 + m. Calculate the least common multiple of u and 69.
483
Let v(q) = -q**3 - 2*q**2 + 169*q + 896. Let u(l) = 3*l**2 - 8*l + 12. Calculate the smallest common multiple of v(-5) and u(8).
1260
Let b = -59 - 34. Calculate the common denominator of 3*b/243 - -3 and 65/18.
54
Let b be (-1 - 3)/(((-7)/(-4))/(-7)). Suppose 0 = 4*v - 2*x - 12, 5*v + 2*x - b = 2*v. What is the smallest common multiple of v and 36?
36
Suppose 44101 = 162*u + 8623. What is the least common multiple of 3 and u?
219
Let u = -9341/484 - -6/121. What is the common denominator of -75/3638 and u?
7276
Let j(y) = 5*y**3 - 59*y**2 + 237*y - 14. Calculate the smallest common multiple of 963 and j(5).
963
Let p(u) = -u**3 - 12*u**2 - 21*u - 19. Let k be p(-13). Suppose 417 - k = -m. What is the least common multiple of m and 36?
36
Suppose 5*r = 2*z - 770, -5*z + r + 1702 = -269. What is the lowest common multiple of z and 474?
2370
Suppose 983 = 3*m + 311. Let c = -184 + m. What is the least common multiple of 48 and c?
240
Calculate the smallest common multiple of 0 - -39 - 20/((-440)/(-198)) and 255.
510
Suppose 0 = c - 2, -4*j = -c - 142. Suppose 118 = 3*t - 0*t + 2*h, 0 = 5*t + 5*h - 205. Calculate the smallest common multiple of t and j.
36
Suppose r - 188 = -4*z - 2*r, 2*z - 116 = 4*r. Let o = 6955 + -6930. What is the smallest common multiple of o and z?
50
Let n(i) = -8*i + 1. Let z be n(1). Let t = 2 - z. Calculate the lowest common multiple of t/9*(2 + (1 - -1)) and 2.
4
Let h(o) = -8*o + 46. Let y be h(-16). Let j = y - 276. Let n = -95 - j. What is the smallest common multiple of n and 6?
42
Let w = 25 + -23. Let z be w*-2*(-6)/12. Calculate the smallest common multiple of 4/(-6)*(-11 + z) and 27.
54
Suppose 0 = 4*i - 7*i + 3*j + 6903, 3*i = 4*j + 6906. Suppose 24*b - 222 = i. What is the least common multiple of b and 18?
630
What is the smallest common multiple of 400 and ((-291)/388)/((-4)/96)?
3600
Let t = -241219316543/69882 + 3451809. Let c = t - -69509311/209646. Let f = c + -5575/18. Find the common denominator of -17/20 and f.
60
Let s = 13490 + -10262. What is the smallest common multiple of 21 and s?
22596
Let t = 3423 - 47891/14. Let z be 4*(-66)/(-24) + 1. Find the common denominator of t and 88/48 + 4/z.
42
Suppose 3*n - 987 = 1752. Suppose 12*p + n = p. Let r = p - -86. What is the least common multiple of 9 and r?
9
Let a be 7/511*472/2. Let b be (-2162903)/(-776720) - 4/(-14). Let y = a - b. What is the common denominator of -7/8 and y?
80
Let g = 12720 - 12696. Calculate the lowest common multiple of g and 1176.
1176
Let w = 13995/14 + -1001. Let f = -148 - -145. Find the common denominator of 9 + -7 - (f - 105/(-6)) and w.
14
Let y = -13763 - -13781. What is the lowest common multiple of 990 and y?
990
Let h = 4014 - 3801. What is the smallest common multiple of h and 710?
2130
Suppose -64*w + 123 = -57*w - 493. Calculate the least common multiple of 104 and w.
1144
Suppose 0 = 6*s + 36 - 48. Suppose -7*v + 2*v + 29 = -3*o, 4 = s*o. Calculate the least common multiple of v and 21.
21
Let m = 6001 - 5902. Calculate the least common multiple of m and 1638.
18018
Let p = 645 + -568. Suppose 