 = 5*y - 118. Let r = y + 59. Calculate the lowest common multiple of r + (-6)/(-3) + 0 and 21.
21
Suppose 18*b = 14*b + 8. Let f(g) be the first derivative of -g**4/4 + 16*g**3/3 - 17*g**2/2 + 32*g + 15. What is the least common multiple of f(15) and b?
2
Suppose 0 = -3*d + 62 - 125. Find the common denominator of 43/14 and -5 + 1 - 134/d.
42
Let z = 5 + 5. Let h(r) = 3*r - 25. Let q be h(5). Calculate the least common multiple of z and ((-2)/7)/(q/140).
20
Let m = -28 + 75. Suppose 0 = 3*h - m - 91. What is the least common multiple of h and 16?
368
Let x = -27 + 13. Calculate the lowest common multiple of ((-60)/(-9))/(((-16)/12)/(-4)) and 21/x*8/(-3).
20
Suppose 0 = -4*x - 4*x + 368. Let y = x + -36. Calculate the common denominator of 15/14 and (1/4)/(y/(-420)).
14
Let x = -11804 + 47151/4. Let i = -40408 + 10586993/262. Find the common denominator of i and x.
524
Let r be (-3)/(-16*9)*(-19770)/(-879). Let z = r + -3/293. Find the common denominator of -9/52 and z.
312
Let p = 2775226 - 10823381573/3900. Calculate the common denominator of 59/1040 and p.
15600
Let j = 117 - 119. Let h(i) = -i**3 - 3*i**2 - 9*i. What is the lowest common multiple of 45 and h(j)?
630
Calculate the common denominator of -31/87 and (-2)/11 + 59675/(-49126).
174
Suppose 5*u - 4*z - 239 = 0, 2*u - 5*z - 82 = -0*u. Let q = -4 - -10. What is the smallest common multiple of q and u?
102
Let f = 651289/3406 - 2484/13. What is the common denominator of f and 107/1310?
1310
Let s = -32182 - -32194. What is the lowest common multiple of 435 and s?
1740
Let g = -75203659/294 + 255795. Calculate the common denominator of -89/294 and g.
294
Calculate the common denominator of 51/265 and (3369/(-4452) - 3/(-4))*17864/528.
3180
Let z = 697 - 695. What is the smallest common multiple of 17 and (-1 + -4 - -3)/z + 22?
357
Let q be ((-3)/172)/((-1)/710). Let x = 5/43 + q. Let k = -112/157 - 1055/942. Calculate the common denominator of x and k.
6
Let m be (-39958)/8470 + 3*(-9 - -10). Let v = 48/121 - m. Find the common denominator of v and 13/55.
385
Let t = 76944/205 + 4734/41. Let w = t - 4971/10. Find the common denominator of (-1060)/(-264) - (-1)/((-66)/12) and w.
30
Find the common denominator of -2 + (718/(-60))/((324/(-8))/9) and -67/2214.
11070
Let o = -24610 + 24628. Calculate the smallest common multiple of 620 and o.
5580
Let w = 24/143 - 1/13. Find the common denominator of (-203 - (-3 + 2))*5/(-40) and w.
44
Suppose 10*v - 3*v = 2*v + 5115. Calculate the lowest common multiple of 465 and v.
5115
Suppose -61*f = -44*f - 18190. Calculate the smallest common multiple of f and 14.
7490
Let v(x) = x**2 - 4. Let z be v(8). Suppose -3*b + 23 = 2*g, -25 = -g - 0*b + 3*b. Calculate the lowest common multiple of (24/20)/(6/z) and g.
48
Find the common denominator of (-26)/(-3588)*(13629/14)/11 and -53/52.
1196
Calculate the lowest common multiple of 36 and (-4 + 140/30)*((-9)/3 + 2910).
11628
Let s(t) = t**2 - t - 4. Let c be s(-3). What is the least common multiple of (-2 - c/(-6))*-6 and 30/7*(-4102)/(-1465)?
12
Let x = -1831885/92 + 19912. What is the common denominator of x and 139/198?
9108
Let z = -317 - -89. Let q = z - -390. Suppose 3*s = 4*c + 4, 4*s = 2*c - 4*c + 20. Calculate the least common multiple of c and q.
162
Let r = -47995999306705 + 6390379331801084403/133144. Let j = r - 9018/11. Let n = -296557/108936 + j. Calculate the common denominator of -41/16 and n.
144
Let z(h) = -h**3 - 7*h**2 - 7*h - 9. Let k be z(-6). Let l be (-7)/(5/5) + -5. Calculate the least common multiple of 2 - ((-9)/k + l) and 9.
99
Calculate the common denominator of (-12)/(-246) - 10519/(-2050) - 4 and 103/14.
350
Let n(w) = -w**2 + 372. Let k be n(0). Let c = 25869 - 76517/3. Let g = c - k. What is the common denominator of g and 39/2?
6
Let v be ((-1196265)/(-3060))/(484/6). Let s = v - 630/121. What is the common denominator of -63/20 and s?
680
Suppose 0 = 10*q - 1158 + 1058. What is the least common multiple of q and 2685?
5370
Let b be (-26968)/6225 - (-3 - -1). Let a = b - -13/249. Find the common denominator of 29/5 and a.
25
Let t = -39342762 - -30097207657/765. Let r = t + 57/85. Find the common denominator of r and (-51)/(-2) + 5296/(-3972).
18
Let p(x) be the third derivative of -1/8*x**4 - 3*x**2 + 0*x + 2/3*x**3 + 0 + 1/120*x**6 - 1/30*x**5. What is the smallest common multiple of 21 and p(4)?
168
Let k = -5/15106 + 581731/453180. What is the common denominator of k and -85/672?
3360
Suppose -297 = 32*b - 809. Let a(u) = -15*u**2 - 107*u + 18. Calculate the lowest common multiple of b and a(-7).
32
Let t be 24/18*33 - -1. Calculate the common denominator of (0 + t/(-50))/(16/(-70)) and -151/60.
240
Let i = 148 - 115. Let p(w) = -8*w - 12. Let l be p(-9). Suppose 3*v - l = -2*v. Calculate the lowest common multiple of i and v.
132
Let k = 32524/15 - 2167. Let y = 594398365465457/32820 + -18110858175. Let z = -3/2188 + y. Find the common denominator of z and k.
15
Let x = -31/24 + 7/4. Find the common denominator of x and 93/32.
96
Let o = -726/541 + 315973/191514. Find the common denominator of o and -73/282.
16638
Suppose 10*r + 183 = 183. Suppose -s - 1 = -5. Suppose -3*t + 2*d + 14 = 4*d, -t - s*d - 12 = r. What is the least common multiple of t and 2?
8
Let v be (1 - 806/12)/((-6)/356). Let q = -3931 + v. What is the common denominator of 83/21 and q?
63
Let q = 195776 + -109592. Suppose l + 2*l = q. Let r = -861961/30 + l. Find the common denominator of 49/12 and r.
60
Let v be 6/12 - 3/6. Suppose -2*h + v*c + 44 = -c, -3*h + 2*c + 68 = 0. Calculate the lowest common multiple of h and (-1)/5*2*-55.
220
Let c(t) = t**3 - 6*t**2 + 8*t - 12. Let h be (-23)/(-5) - (-2)/5. Let s be c(h). Suppose s*w + 35 - 152 = 0. Find the common denominator of -35/8 and w.
8
Let s be (-1 - (0 + 3))*-1. What is the common denominator of 4 - (44/(-84) + 2) and -4 + 5 + s/(48/122)?
42
What is the common denominator of (-888)/(-576)*(-6)/26 and -79/344?
4472
Let d(l) = 2351*l + 16517. Calculate the least common multiple of d(-7) and (24/(-10))/(2/(-10)).
60
Let b = -4/31259 - 281135/1531691. Calculate the common denominator of b and (-1)/(-6)*6/56.
392
Suppose 43*f - 3407 - 2143 = 28*f. Calculate the lowest common multiple of 24 and f.
4440
Let l = 65863 - 8430541/128. What is the common denominator of l and -83/3184?
25472
Let g(c) = -33*c**2 - c + 6. Let m be g(2). Calculate the common denominator of 17/88 and 64/m*79/(-32).
704
Let h be (-16 - 2)/((-58)/174). What is the common denominator of 123/(-164)*(-76)/h and -23/8?
72
Let x = 2 - -107. Let r = 385 - 383. Suppose -x + 137 = r*h. Calculate the lowest common multiple of h and 12.
84
Let y be -2*9*(-2)/(-12). Let w be 22/44*y/((-6)/20). Calculate the smallest common multiple of (-10)/(-4)*(5 + 11/w) and 52.
468
Let p = -185 + 137. What is the smallest common multiple of (p/(-32))/(2/12) and 6?
18
Find the common denominator of 187/30 and ((-4)/130)/(144/(-5340)).
390
Let n be 2/(-8) + (-413)/28. Let o = n + 30. Calculate the lowest common multiple of 30 and (o/(-15))/(1/(-10)).
30
Let a = -59399/20 - -2964. Suppose 4*q - 81 = c + q, -357 = 5*c + q. Find the common denominator of a and 9 + -1 - (-282)/c.
60
Suppose 2*q + 2*q + 92977 = 3*o, q = 5*o - 154939. Let l = 929737/30 - o. What is the common denominator of -115/318 and l?
1590
Suppose -246 - 12 = 43*a. Let m = -55643/20 - -2781. Calculate the common denominator of (-61)/a + 57/684 and m.
20
Let i(x) = 20*x**3 - 10*x**2 + 3*x - 1. Let h be i(7). Let m = -3028 + h. Let p = m + -23572/7. Find the common denominator of 55/13 and p.
91
Let c(n) = -2*n + 67. Let j be c(25). Suppose j*a = 24*a - 210. What is the lowest common multiple of a and 50?
150
Suppose -f + 28 = f. Let g = 7259 - 7249. What is the least common multiple of g and f?
70
Let q(u) = -5*u + 10. Let w be q(2). Suppose 53*x - 2561 - 937 = w. What is the lowest common multiple of x and 144/10 - (-6)/(-15)?
462
Let s = 18341/2 - 9142. Suppose 0 = 4*y - 5*y. What is the common denominator of y + 0 - 86/(-20) and s?
10
Let r be 2/4 + 318/12. Let y = -41 + r. What is the common denominator of -57/8 and (-4)/y - (-124)/448?
16
Suppose 5*b = -4*m + 3, -5*m + 70 - 15 = -4*b. Let g = -7 + -51. Let o = -52 - g. What is