
6020
Calculate the common denominator of 43/163 and (-741)/52 + (-21)/(-3).
652
Suppose -2 = 3*f + 10. Let d = -16 - f. Let k(l) = l**3 + 11*l**2 - 12*l + 16. What is the smallest common multiple of 4 and k(d)?
16
Let n be 3 + 1/(2/(-22)). Let l(d) = -2*d - 14. Calculate the lowest common multiple of l(n) and 6.
6
Suppose -39*p - 3312 = -8616. Calculate the smallest common multiple of p and 9.
1224
Suppose -49 + 1 = 2*y + 2*h, 4*y + 97 = -3*h. Let l = y - -43. What is the smallest common multiple of (-387)/(-21) - -2 - 24/56 and l?
180
Find the common denominator of 3/63*7 - 154/(-36) and 163/150.
450
Suppose 0 = 10*b - 9*b - 8. Calculate the lowest common multiple of b and 80.
80
Let s = -18289/8 - -2290. Let t = 413 + -266. Calculate the common denominator of s and (132/14)/((-280)/t).
40
What is the common denominator of (-11)/(-110) - (-1164)/810 and 79/12?
108
Let x = -75/41 - -19417/10906. Let i = -12531/2128 + x. Find the common denominator of -103/20 and i.
80
What is the common denominator of (-16)/48*37/6 and -7/30?
90
Let p = -72783/175 - 38754931/3150. Let x = p - -12726. What is the common denominator of x and 123/10?
90
Let a = 14/1595 - 139157/44660. Calculate the common denominator of a and 3/14.
28
What is the common denominator of 22/14 - 1 - 118547/6006 and 25/477?
954
Let g = -1556392 - -17137660/11. Let l = 1574 - g. Calculate the common denominator of l and 35/2.
22
Let m be (1/(-799))/(3 - 1). Let p be -2 + ((-643774)/(-351560) - 14/77). Let v = m - p. What is the common denominator of -33/20 and v?
20
Let o = 34 - 13. Let m = o + -12. Calculate the lowest common multiple of m and 11.
99
Find the common denominator of 20/129 and 369/(-108)*-3 - -2.
516
Find the common denominator of -15/38 and (-5257)/(-1176) + (-2)/21.
152
Let b(i) be the second derivative of -3*i**3/2 - 13*i**2 - 19*i. What is the lowest common multiple of b(-4) and 9?
90
Let h = 2155 + -2116. What is the least common multiple of h and 234?
234
Suppose 2*h - 5*r = 2 - 1, 4*r = -h + 33. Let a = h - 3. Suppose -a - 30 = -2*n. What is the least common multiple of 4 and n?
20
Let s = 9070/12369 - 6/133. Calculate the common denominator of s and 41/5.
465
Let f = 28 + -25. Suppose f + 17 = 2*b + 3*m, 2*b = -m + 28. Calculate the least common multiple of 32 and b.
32
Let k = 6396230 - 63885157/10. Let v = k + -7726. Find the common denominator of (34/22)/(2/4) and v.
110
Let s(c) = c**3 - 4*c**2 - 3*c - 4. Let b be s(5). What is the common denominator of (-2)/(-11)*78/(-8) and 23/b*(-6)/(-10)?
110
Let g = -73/291 + -18323/11640. What is the common denominator of g and -17/48?
240
Suppose -8*v = -n + 74, -4*v + 116 = 4*n - 252. What is the least common multiple of n and 150?
450
Suppose 0 = c - 4*n + 9*n + 5, 0 = n + 4. What is the least common multiple of c and 20?
60
Let w(u) be the second derivative of u**4/12 + 5*u**3/2 + 22*u**2 - 13*u. Calculate the least common multiple of w(-13) and 6.
18
Let f be -1 + 9/(-3) + -210. Let p be f/(-9) - 2/(-9). Suppose -c - 4 = -p. Calculate the smallest common multiple of 22 and c.
220
Let k = -505/11 - -1593/22. Let n = -2/2033 + -144215/130112. Calculate the common denominator of n and k.
64
Let g(b) = -3*b**3 - 9*b**2 + b - 9. Let m be g(-4). Suppose -17 = -s + m. What is the lowest common multiple of s and 20?
260
Suppose 4*x - 2 = 6, -5*r - x - 13 = 0. Let p = -1212 - -3592/3. Find the common denominator of 4/r*36/21 and p.
21
Let p be (0/(-7))/(-2 - 0). Suppose 5*s - b = 4*b + 390, 2*s - b - 155 = p. Find the common denominator of -9/8 and 12/(-36) - s/(-60).
40
Let x = 1053/1372 + -6/343. What is the common denominator of (-472)/90 + (-2)/10 and x?
36
Let x be 11*1 - (-1)/(4/8). What is the least common multiple of 10 and ((-78)/x)/(1 - 2)?
30
Let x = 3452163661 - 30510222483491/8838. Let o = x + -3/491. Find the common denominator of o and 398/56 - 2/(-8).
126
Let n = -777 - -825. Calculate the smallest common multiple of 108 and n.
432
Suppose y = -5*o + 12 + 60, -24 = -o - 5*y. Let j be 7 - o - (1 + -2). What is the least common multiple of ((-44)/j)/((-3)/(-9)) and 18?
198
Find the common denominator of (3/18)/(5 + (-77)/21) and -119/6.
24
Let r = -26343/2 + 11752. Let m = r + 1388. Find the common denominator of m and 97/28.
28
Let q = -9370591/254 + 36892. Let r = q - -6448/381. Suppose 7*y = -0*y - 245. Find the common denominator of r and y.
6
Suppose 4*m - 4*f + 4 = -0*m, -2*m = -3*f - 3. Find the common denominator of -5/16 and (m/16)/(50/1320).
80
Suppose 18*g - 13*g = 125. Let s = g - 19. What is the smallest common multiple of s and 11?
66
Find the common denominator of 1*2 + (-185)/(-50) and 0 + (3 - 2) + (-363)/(-18).
30
Suppose 5*g + 3*z - z = -90, -z + 59 = -4*g. Find the common denominator of (-28)/(-40)*(-10)/g and -67/16.
16
Suppose -3*w + o + 99 = -4*o, 4*w = 4*o + 124. Calculate the smallest common multiple of 240 and w.
1680
Let u(s) = 22*s - 176. What is the smallest common multiple of u(10) and 40?
440
Suppose 2*h - 2 = 4. Suppose 5*f = -y + 40, 6 = -5*f + 4*f - h*y. Let c = f + -1. Calculate the smallest common multiple of 22 and c.
88
Suppose -5*z + 2*f + 3*f = -140, 2*f - 106 = -4*z. Suppose -2*t + 5*t - z = 0. What is the least common multiple of t and 18?
18
Calculate the smallest common multiple of 45/(-10)*(-8)/6 and 8.
24
What is the smallest common multiple of 26 and 4 - (-5 + -10 - -1)?
234
What is the smallest common multiple of 15 and 8*(-5 - 46/(-8))?
30
Let c be 4/(-14) - (-1392)/21. Find the common denominator of (-428)/c*(-6)/8 and (1 - 4) + 410/(-160).
176
Let o = 3/8894 + 18459/24378454. Let r = o - -82197/30151. Calculate the common denominator of 42 and r.
11
Let g = 1535401/1170 + -10414/117. Let a = g + -1222. Calculate the common denominator of ((-244)/30)/((-16)/(-24)) and a.
10
Let c = 47 + -48. Calculate the common denominator of 32/11 and (70 - 8)/((-3)/c).
33
Suppose -46 = -2*b - 5*h, -4*b + 4*h + 76 = 6*h. Calculate the lowest common multiple of 220/(-40)*((-400)/55)/10 and b.
36
Suppose -3*f - 32 = -5*f. Find the common denominator of 73/4 and (-16)/(-84)*402/f.
28
Suppose -4*d + 2*y + 2*y = -32, -4*d + 2*y + 32 = 0. Let c be (2/(-1) + 3)/(2/6). Let j = c + 9. What is the lowest common multiple of j and d?
24
Let n = -44 - -75. Let u = n - 29. Suppose -3*r = 2*r - 30. What is the lowest common multiple of r and u?
6
Let j(z) = z**2 - 14*z + 9. Calculate the smallest common multiple of j(14) and 8.
72
Suppose -b + 4*b + 3*u = 84, 58 = 2*b + 4*u. Let o = b - 26. Let x(k) = 7*k**2 - k + 2. Calculate the lowest common multiple of 18 and x(o).
72
Suppose -i - i = 4*h - 12, -3*h + 4*i = 2. Let d = h + 1. Calculate the least common multiple of 7 and d.
21
Suppose -288 = -b - 3*l, 25*l + 256 = b + 20*l. Calculate the lowest common multiple of b and 18.
828
Let n = 1582 + -1526. Calculate the lowest common multiple of n and 364.
728
Let v = -21726 - -4106132/189. What is the common denominator of v and 151/324?
2268
Suppose 14 = -5*u + i, 0 = 3*u + i - 0 + 2. Calculate the lowest common multiple of (1 + 3)*(u + 3) and 1.
4
Let f = 4220 + -126499/30. Calculate the common denominator of f and 73/42.
210
Let c be 3/(6/8) - (-2)/(-2). Suppose c*h = -5*a + 48, a - 5*a + 64 = 4*h. Calculate the lowest common multiple of 2 and h.
16
What is the least common multiple of (-10 - 195/(-20)) + (-84)/(-16) and 286?
1430
Let t = -601 - -616. What is the lowest common multiple of t and 84?
420
Let c = 62 - 26. Calculate the smallest common multiple of 80 and c.
720
Suppose 23*u = 37*u - 336. What is the smallest common multiple of 7 and u?
168
Let h = -65/47 - -3907/752. Suppose a + 21 = 4*a. Let g = a - -24. Calculate the common denominator of h and g.
16
Suppose 0 = -2*d - 5*w + 23 + 9, 4*w + 2 = 3*d. Find the common denominator of (168/(-32))/(9/10) and (-46 + 5)*2/d.
6
Let k be -1 - (1187697/(-22))/(-3). Let b(x) = 145*x**3 + 7*x**2 + 7*x - 7. Let j be b(-5). Let d = k - j. What is the common denominator of d and 59/14?
154
Suppose 2*c - 44 = -4*g, -4*c + 64 = -g - 3*g. Calculate the smallest common multiple of c and 24.
72
Let j = -16 - -35. Let n = 40 - j. Calculate the least common multiple of n and 15.
105
Calculate the smallest common multiple of 11 and 12/8*(-16)/18