**2 - 6*g - 21. Let u(r) = -7*d(r) + 5*p(r). What is the lowest common multiple of u(4) and 4?
32
Suppose 0*z - 164 = -3*z + 4*p, -2*z + 114 = 2*p. Suppose 4*k + z = 4*y - 0*k, 5*y + 2*k = 42. Calculate the smallest common multiple of 110 and y.
110
Let i(v) = v**2 + 25*v + 128. Let j(s) = -s**2 - 4*s + 5. Let r be j(-5). Let y = r + 6. Calculate the lowest common multiple of i(-6) and y.
42
Let a = 1148 - 2908. Calculate the common denominator of 4/10*(2 + 945/a) and -15/242.
1936
Suppose -z = -i - 1682, 4*z - i + 3706 = 10437. Calculate the least common multiple of z and 15.
8415
Let i = -8/361 + -3394/9747. Find the common denominator of 95/936 and i.
2808
Suppose 2*n + 3*q = 12, -5*n + 20 = -6*q - 10. Calculate the smallest common multiple of n and 405.
810
Suppose -2*t - 2686 = 4*p + 10956, 10239 = -3*p + t. Let a = p + 33997/10. What is the common denominator of (-2)/8 - (-159)/116 and a?
290
Let y = -1641 - -14708/9. Find the common denominator of -34/1453 and y.
13077
Let z = 1939 + -73751/38. Find the common denominator of z and ((-1332)/162 - -8) + 374/144.
152
Let f = 3/182572 - -1248062171/1278004. Let y = f - 327337/336. Calculate the common denominator of y and -101/48.
48
Let x be ((-12)/14)/3 - 45162/(-42). Let a = 1828 - x. Let t = a - 2209/3. Find the common denominator of 71/30 and t.
30
Let g = 1450 + -36224/25. Calculate the common denominator of g and 4 - ((-120)/(-175) - -4).
175
Let w = -40077/1337680 - -1/14540. Calculate the common denominator of w and -115/528.
12144
Let t(c) be the first derivative of 5*c**2/2 + 35*c - 22. Calculate the smallest common multiple of 2 and t(4).
110
What is the common denominator of 11 - (-4*1 - 48399/(-3220)) and -121/1610?
3220
Suppose -768*o + 646*o = -854. What is the smallest common multiple of o and 638?
4466
Let j = -349 - -349. Suppose j = 4*u - 31*u + 540. What is the smallest common multiple of 24 and u?
120
Let j = 578/59 + -24263/2832. What is the common denominator of -1 + -3 + (-2530)/368 and j?
48
Let q = -77697 - -130423. Let u = q + -8541571/162. What is the common denominator of u and -11/8?
648
What is the common denominator of (25551/(-1700) - -15)/((34/164)/1) and 77/1700?
1700
Let j = -93023 + 40930157/440. What is the common denominator of 11/120 and j?
1320
Let m = -11/485 + -9731/2910. Find the common denominator of (543/(-756) + 9/12)*(-36)/(-24) and m.
210
Let z be (16/60*3)/(2/5). Suppose -248 + 28 = -z*p. What is the lowest common multiple of 80 and p?
880
Let x = -17152029/140 - -122515. Calculate the common denominator of (-4)/(-560)*3*452/12 and x.
140
What is the common denominator of -24/35 and 24*(6/98)/((-23)/(161/(-22)))?
385
Calculate the least common multiple of 695 and (198/(-18) - -12)*(3 - 0 - -8).
7645
Let f = 12 + -16. Let u = 832 + -825. What is the smallest common multiple of (-684)/(-60) - f/(-10) and u?
77
Let i = -1312835389/2002 + 655762. Calculate the common denominator of i and 19/6.
6006
Let b = -46 + 48. Let t be -6 + b - (-12)/3. Calculate the least common multiple of 8 and -22*(1/(-2) - t).
88
Let w be ((-95)/(-304))/((-11)/54746). Let y = -1556 - w. What is the common denominator of y and -89/10?
440
Find the common denominator of 39/28 and (2 + (-4188)/2097)/(5270/867 + -6).
6524
Let f(s) = -s**3 + s**2 - s + 245. Let d be f(0). Calculate the common denominator of ((d/215)/1)/(-2) and 1/5.
430
Let a = -954 + 2066. Let p = -17785/16 + a. Calculate the common denominator of p and -27/74.
592
Suppose -179 + 119 = -4*l + 612. What is the least common multiple of 21 and l?
168
Suppose 8*q = -4*t + 4*q - 52, -5*q = 2*t + 26. What is the common denominator of 60/(-38)*(-11)/(-44) + 2 and t?
38
What is the least common multiple of (1 + -4 + -49)*4/(-16) and 12?
156
Let h = -374041 + 243126721/650. Find the common denominator of -29/38 and h.
12350
Suppose -59*y = -61*y + 24. What is the common denominator of 60/(-80) - (-283)/y and 73/48?
48
Let w be 144/(-120)*(-40)/6. Let d be 62/w - 9/(-36). Suppose -5*g = 4*i - d, -i + 16 = -5*g - 11. Calculate the least common multiple of 5 and i.
35
Let i(f) = 93*f**2 + 133*f - 268. Calculate the smallest common multiple of i(2) and 18.
3330
Let b(y) = y**2 - 19*y + 22. Let s be b(18). Calculate the common denominator of (s - 1) + (-511)/189 and (-2)/4 - (-76)/18.
54
Suppose -23*n - 247 + 17 = 0. Let u be (-1)/5 - 642/15. What is the common denominator of 2/(-3) + u/(-15) and n?
5
Let s = 29044216/333 - 87220. Calculate the common denominator of 25/21 and s.
2331
Let r = -88770973/880 - -100876. Find the common denominator of r and -13/11.
880
Let s(j) = 4*j + 13. Let l be s(8). Let p = l - 45. Suppose -10*v + 29 + 11 = p. What is the lowest common multiple of 2 and v?
4
Suppose 5*j - 10 = 0, -16*p - 4964 = -21*p - 2*j. Calculate the lowest common multiple of p and 12.
2976
Let h = 13937 - 12920. Calculate the smallest common multiple of h and 2034.
2034
Let j = -27 + 34. Let o(l) = l - 3. Let z(y) = 3*y**2 - 2*y - 2. What is the smallest common multiple of z(2) and o(j)?
12
Calculate the common denominator of -2 + (-51478)/(-19068) - 8/12 and ((-411)/4)/(27/(-2)).
4086
Let p(o) = -o**3 + o**2 - 2*o - 26. Let r be p(-5). Calculate the common denominator of 103/30 and (245/60 + -4)*r/(-4).
120
Suppose 5*x = -2*x - 35. Let z be ((-37983572)/(-120))/(-11) - 2/x. Let s = z - -28772. What is the common denominator of s and -143/12?
60
Let h be 20/(-24)*(-4)/10*48. Let c = h - 5. Suppose -2*q + 14 = -4*t, -c = -q - t - 1. What is the least common multiple of q and 19?
171
What is the common denominator of -5/5444 and (-10)/(-40) + (664/64 - 1)?
10888
Suppose 0*p - 196 = 4*j - 2*p, 0 = -p - 4. Let q = j + 54. Suppose -5*l + q = 3*n - 2, 0 = 4*l + 3*n - 4. Calculate the least common multiple of 16 and l.
16
Suppose -4*l + 4*h - 12 = 4, 0 = -2*h + 8. Suppose l = 5*x - x - 96. Calculate the least common multiple of x and ((-6)/2)/((-9)/63).
168
Let g(a) be the first derivative of a**3/3 - 33*a**2/2 + 71*a + 141. What is the least common multiple of 4 and g(31)?
36
Suppose -152*w + 89*w + 86*w - 500503 = 0. Calculate the least common multiple of w and 4.
87044
Let i(t) = t**3 - 3*t**2 - 4*t - 10. Let b be 18*(5/(-10) + 1). What is the least common multiple of i(5) and 30/b*12/5?
40
Let u = -5/998 + 36467/7984. Suppose -h = 4*h - 3*p + 45, h - 5*p + 31 = 0. Find the common denominator of ((-3)/(-20))/(1/((-15)/h)) and u.
16
Let o = 412711/36 + -11460. What is the common denominator of 902/42 - (-3)/(-21)*1 and o?
36
Suppose 0 = -2*o - 6*o + 64. Let z be o/(-20) - 4/(-10). Let h(b) = -2*b**2 + 3*b - 11. What is the common denominator of h(z) and 49/11?
11
Suppose 0 = t + 5*o + 11, 0 = 4*o - 9*o - 15. Calculate the lowest common multiple of 134 and t.
268
Let v = 17632/9 + -1964. Let g(l) = l + 9. Let k be g(-11). Calculate the common denominator of v and k/(-10) + (-274)/270.
27
Calculate the common denominator of 13 + (146224/(-9024) - -3) and 157/198.
18612
Let r(a) = a**3 - 13*a**2 + 10*a + 44. Let v be r(12). Suppose -7*m = -v*m + 6890. What is the smallest common multiple of 2 and m?
530
Suppose -434 = 3*m - 3014. Let y be (-30926)/36 - (-12)/24. Let c = m + y. Find the common denominator of -97/18 and c.
18
Suppose 5*q = 5*l - 2905, 4*l - 7*q - 1558 - 778 = 0. What is the lowest common multiple of 8 and l?
4616
Let d = -316345 - -10123073/32. What is the common denominator of d and 1 + -1 + (-85)/(-48)?
96
Suppose -5*v = b - 147, 0 = 3*b - 5*b - 4*v + 288. Let k = -65 + b. Suppose -15*g - 17 + k = 0. What is the lowest common multiple of g and 13?
52
Let r = 173 - 101. What is the common denominator of 73/16 and (-18)/30*(-606)/r?
80
Let c = 47144 + -47143. What is the lowest common multiple of c and 14904/66 - 2/(-11)?
226
Suppose -k + 1288 = -4*a, 14*k = 13*k + 5*a + 1285. What is the lowest common multiple of k and 2600?
2600
Let h = -35164517/855 - -41128. What is the common denominator of h and 56/1539?
7695
Let r = 19526135/378 + -413251/8. What is the common denominator of r and 67/6048?
6048
Let h = -342401/50 + 6850. Calculate the common denominator of h and 3 - 32/10 - (-592)/(-360).
450
Let a = -3 - -14. Let w(p) = -p**3 + 16*p**2 - 6*p - 36. Calculate the least common multiple of w(15) a