01. Calculate the least common multiple of v and s.
40
Let y(a) = a**3 - 3*a**2 - 2*a + 2. Let h(c) = c + 2. Let t be h(2). What is the lowest common multiple of 31 and y(t)?
310
Find the common denominator of 2010/1008 + 4/6 - 112/28 and -47/903.
7224
Let x = 66177/12512 + -91/17. Find the common denominator of -61/1792 and x.
41216
Let a = 47 - 45. Suppose 0 = 5*n + a*q - 13, 12 = -0*q + 3*q. What is the common denominator of (-1*n/2)/(-2) and -51/4?
4
Suppose -63 = -67*u - 41 + 1318. What is the least common multiple of -5*-11*8/5 and u?
440
Let j(t) = t**2 - t - 16. Let d be j(4). Calculate the common denominator of d*2/6 + 350/96 and 89/6.
48
Let f = -37/9900 + 13873/204600. Find the common denominator of f and -51/992.
8928
Suppose -150 = 4*n - 9*n. Suppose 0 = 4*u + 294 - n. What is the smallest common multiple of 11 and (-5 - u/9)/((-1)/(-3))?
77
Let x = -4000 + 4036. Suppose 5*s = 5, 2*l + s - 10 = -3. Suppose l*a + 5*t - 58 = 0, 5*a - 4*t - 25 = 4*a. What is the smallest common multiple of a and x?
252
Let d = -135326 - -18268916/135. Calculate the common denominator of d and 149/330.
2970
What is the common denominator of -2*9/(-2) - (-4157743)/(-466090) and 43/10?
1270
Let l(x) = 2*x + 36. Let r be (3 - -2)*(-96)/80. What is the smallest common multiple of ((-4)/5)/(((-30)/r)/(-275)) and l(0)?
396
Calculate the least common multiple of (-146)/(-12)*8 - (-2704)/1014 and 876.
21900
Suppose 0 = m + 7*n - 4*n - 275, -5*n = -3*m + 895. Let r = m + -272. What is the lowest common multiple of r and 18?
18
Suppose -6*o + 4515 = -3*o + 5*z, 0 = z. Let c = -1468 + o. Calculate the common denominator of -78*((-29)/27 + 1) and c.
9
Let m be -97 - (4 - 6/3). Let y = 96 + m. Calculate the common denominator of 73/10 and y/(-22)*-1*2.
110
Suppose -4 = 10*u - 8*u. Let v(x) = -1313*x**2 + 3*x + 1. Let g be v(u). Let l = g - -47362/9. Find the common denominator of l and 4/9.
9
Let h = -1143 + 11421/10. Let b = 384913993/16 - 24067253. Let a = b - -10124. What is the common denominator of h and a?
80
Let b = 458/697 + 2/41. Let t be (-2)/10*(-349)/17. Let r = b - t. Find the common denominator of -95/2 and r.
10
Let l(f) = -f**3 - 3*f**2 + 3*f + 8. Let k be l(-3). Find the common denominator of -79/32 and k/(-3) + 1208/480.
160
Let t(i) = 35*i**2 - 112*i - 4. Let z(o) = 2*o**2 - o. Let r(v) = -t(v) + 3*z(v). Calculate the smallest common multiple of r(3) and 20.
140
Let n be (12/95)/((-275)/(-125)). Let x = 14873/6688 + n. Let f = 49649/16 - 3102. Calculate the common denominator of x and f.
32
Let y(z) = -z**3 + 19*z**2 + 24*z - 752. Calculate the smallest common multiple of y(13) and 1.
574
Let w = -355901567/864 + 411923. Calculate the common denominator of -97/240 and w.
4320
Suppose -2*t + 0 = -6. Let y = 1613/2 + -773. Find the common denominator of (470/100 - t)*(-2)/2 and y.
10
Let q = -1596 - -2874. Suppose 152*z - q = 149*z. Calculate the smallest common multiple of 15 and z.
2130
Let b be 8/(-3 + (-2)/48*-74). Find the common denominator of (-651)/b + 19 + -11 and 7/80.
160
Suppose 2*r + 4*m + 0 = 2, -4*r + 3*m = -37. Let l = r - -2. Let s = l - 1. Calculate the least common multiple of 3 and s.
24
Let i(z) = z**2 - 6*z + 13*z + 4 - 5*z + 3*z**2. Calculate the smallest common multiple of i(-1) and 190.
570
Suppose 214 = 2*h - 23 - 99. What is the lowest common multiple of h and 1440?
10080
What is the common denominator of -43/231 and 437456/(-36288) - (4 + -16)?
24948
Let d = 3/53041 + -6313931/36280044. Find the common denominator of d and -193/1140.
3420
Suppose -5*c = -m - 4, 2*m + c - 7 = -4*c. Find the common denominator of 217/(-588) - m/4*1 and -19/70.
210
What is the least common multiple of (-9)/(-24)*-2 - -2190*9/72 and 30?
2730
Suppose 4*o - 6*u + 3*u = 0, 0 = o - 3*u - 9. What is the common denominator of (-1 + 17/o)/(504/48) and -27/5?
315
Suppose -5*h - 164 = -4*q - h, -134 = -4*q - 2*h. Let m = -304 - -366. What is the smallest common multiple of 1 and m/10 + q/45?
7
Let y = 590665/12 - 49233. Let x = 235999/44 + -5363. What is the common denominator of y and x?
132
Let i = -141/10 + 19/2. Calculate the common denominator of i and 31/164.
820
Let x be (-2804643)/(-135) - (-2)/3. Let o = -504020923/24260 + x. Let l = 329963/43668 + o. Find the common denominator of 74/9 and l.
9
Suppose -10*m - 19 = 1. Calculate the least common multiple of m/(-6) - (-2065)/177 and 12.
12
Let b be ((-35)/(-14))/(30/24). What is the common denominator of (-2 - (-65)/11) + -1 and 3615/150 + b/5?
22
Suppose -62*m + 216 + 194 + 954 = 0. Let x = -21 + 30. What is the lowest common multiple of m and x?
198
Let a = -5672859 - -11742820087/2070. Let t = a - -51/115. Let s = 51233/11 - 9325/2. Find the common denominator of s and t.
198
Let u = -3068 - -30631/10. Let q = -3 - 2. Calculate the common denominator of u and -2 + ((-49)/q)/1.
10
Let r = 4226 - 2836. What is the lowest common multiple of r and 1251?
12510
Let j = 1850 - 996. Suppose -v - j = -870. Let o = -8 + 12. Calculate the lowest common multiple of o and v.
16
Let d(m) = -m**2 - 15*m + 10. Let c = -16 + 1. Suppose j = n + 3, 0 = 3*n - 10 + 4. Calculate the least common multiple of j and d(c).
10
Let j = -2652 + 3767. Calculate the lowest common multiple of j and 60.
13380
Let k be ((-70)/25 + 2)/((-2)/(-10)). Find the common denominator of 13 + 0 - 16/k and (27/90)/(4/290).
4
Let s = 155 + -89. Let l(m) = 3*m**2 - 17*m - 10. Calculate the lowest common multiple of l(10) and s.
1320
Suppose 4*a + 4*c - 6 + 2 = 0, -5*c = -5*a + 55. Calculate the smallest common multiple of 10 - 9/(-12)*-4 and (-20)/(-6)*-20*a/(-16).
175
What is the common denominator of -2 - (-10)/675*12 and (2 - (-511)/(-42))*(-9)/(-30)?
180
Let z = 11410815/115522 - 8798/89. Calculate the common denominator of z and -11/14.
9086
Let g(x) = -4*x**2 - 89*x - 20. What is the least common multiple of 149 and g(-22)?
298
Let q = 65401/2700 + -1169/50. Find the common denominator of q and 7/486.
972
Suppose 0 = -q - 1, -659*g = -660*g + q + 4. What is the smallest common multiple of g and 2259?
2259
Suppose 0 = 4*j - 1662 + 422. Let a = j + -274. Calculate the least common multiple of (2/(-5))/(1/(-10)) and a.
36
Let d = 406 + -402. Calculate the least common multiple of 87 and d.
348
Let f = -3443579/60 - -57395. Let o = 98485/24 - 4105. Calculate the common denominator of o and f.
120
Let u = -28411/9 - -3163. Let p be (1 - (2 - 2)) + -7. Calculate the common denominator of u and 9/p - (-309)/66.
99
Let v = -47/7186 - -239455/8594456. Calculate the common denominator of 5/91 and v.
16744
Suppose -4*h + 2 = -b - 1, -5*b = -3*h + 15. Let v(c) be the first derivative of c**3/3 + 8*c - 488. Calculate the smallest common multiple of 4 and v(h).
8
What is the common denominator of 141/56 - (-12 + 13) and (-154)/1680 - 36/72?
840
Let l(i) = i**3 - i**2 - 2*i + 2. Let d = 295 + -293. What is the least common multiple of 2 and l(d)?
2
Let c be 6/(((-2)/(-20))/((-2)/15)). Let k(u) = 2*u + 20. Calculate the least common multiple of k(c) and ((-8)/(-5))/((-4)/(-10)).
4
Suppose 5*p - 1589 = -25*p - 509. Let o = -4 - -8. Suppose -l = -3*y + 2*l + 54, y = -o*l + 28. What is the least common multiple of p and y?
180
Suppose 5*v = v - 5*r + 11, 10 = 3*v + 2*r. Suppose -v*i + 83 = g + i, 5*i + 269 = 3*g. What is the smallest common multiple of 18 and g?
792
Suppose -3*f - 4*s = -103, 3*f = 6*f + 2*s - 113. Suppose -36*n + f*n - 60 = 0. What is the smallest common multiple of n and 44?
132
Let f = 211 - -1445. What is the lowest common multiple of f and 6?
1656
Let i(d) = -d**3 - 19*d**2 - d - 27. Let s be i(-19). Let v = -51783/20 - -2590. Calculate the common denominator of (2 + (-476)/s + 3)/27 and v.
180
Let c(r) = r**2 + 40*r + 42. Let h be c(-17). Let t = -342 - h. What is the smallest common multiple of 6 and t?
42
Suppose 27 = 2*a + 7. Let z = 146 - 143. Suppose -2*j + 4 + 9 = z*q, -5*q - j = -24. Calculate the smallest common multiple of q and a.
10
Let g = -78 + 43. Let b = g - -51. Suppose -2*x + 2*t + 42 = 0, -x + 85 = 4*x - t. What is the lowest common multiple of x and b?
16
Let b be -10*(-14)/(-35) + 28648/(-210). Let s = -699/5 - b. Find the common denominator of 23/6 and s.
42
Let i be ((-21)/(-2) - 7)*20. Calculate t