on multiple of d and 230?
10810
Suppose 5*w - 10*v = -15*v + 100, -w + 3*v + 12 = 0. What is the lowest common multiple of w and 33?
198
Let f = 10981/10 + -1100. Calculate the common denominator of f and 2*(1 + (-897)/744).
620
Suppose 3*s - 144 = 3*t, 17*t + 90 = 15*t + 5*s. Let i(a) = -a**2 - 48*a + 103. Calculate the smallest common multiple of i(t) and 26.
78
Let n(x) be the first derivative of 2*x**3/3 + 7*x**2/2 - 7*x + 8. Calculate the least common multiple of (-6)/(-21) + (-1584)/(-42) and n(-5).
152
Suppose -37*k + 626 = -373. Let d be 2 + 0 - (0 + -7). Suppose 0 + d = 3*c. Calculate the smallest common multiple of k and c.
27
Suppose 2*t + 8 + 0 = 0. Let a be ((-3)/(-4))/(7/t + 2). Calculate the least common multiple of 6 and 4*(a - 5)*(-2)/4.
12
Let u be 1*(-4)/(-10)*(-80)/(-32). Find the common denominator of u - ((-500)/12)/((-276)/9) and -15/8.
184
Suppose -4*f - 30 = -10*f. Suppose f*r - 414 = 4*h - h, -174 = -2*r - 3*h. Suppose s = 8*s - r. Calculate the lowest common multiple of s and 98.
588
Let m(y) = -15*y - 42. Let j(f) = 16*f + 44. Let z(w) = -5*j(w) - 6*m(w). Calculate the lowest common multiple of z(4) and 64.
576
Let n = 9246 + -203319/22. Calculate the common denominator of 103/234 and n.
2574
Let f = -7705 - -7831. Calculate the least common multiple of 188 and f.
11844
Calculate the common denominator of -29/776 and 2/(-18) + (-132496)/3744.
776
Let x(m) = m - 3. Let i(r) = -3*r + 50 - 23 - 18. Let c(l) = 6*i(l) + 17*x(l). Calculate the least common multiple of 8 and c(-15).
72
Let n = -26179/6 - -4353. Calculate the common denominator of -51/202 and n.
606
Let y = 95611 - 52586077/550. Find the common denominator of y and -53/1870.
9350
Suppose 58 = -3*h + 43. Let u(y) = 3*y - 8. Let v(m) = m - 1. Let n(g) = u(g) - 4*v(g). What is the smallest common multiple of n(h) and 5?
5
Let h = 29849 - 28904. Calculate the least common multiple of 9 and h.
945
Let j = 413 + -397. Find the common denominator of -52/123 and (-47)/(-39) + -4*4/j.
1599
Let l = 407 + -271. Suppose -8*c = -536 + l. What is the lowest common multiple of c and 110?
550
Let z = 30/11 + 881/44. Calculate the common denominator of z and ((-140)/(-1050))/(1 - 1791/1695).
48
Let c = 5091 + -4085. What is the least common multiple of c and 4?
2012
Let v = -443355389/1152 + 384857. What is the common denominator of v and -115/144?
1152
Let r(x) = x**3 - 22*x**2 + 20*x + 28. Let q be r(21). Suppose 0*p - 70 = -q*p. Calculate the lowest common multiple of 322 and p.
1610
Let o(i) = -i**3 + 15*i**2 - i + 21. Let m be o(15). Let w = 184 - 80. Find the common denominator of (m/(-4))/((-18)/w) and -18/11.
33
Let o = -4 + 6. Let s(y) = -6*y**2 - 53*y - 50. Let z be s(-8). What is the smallest common multiple of (-130)/(-325) - 56/z and o?
6
Let r = -33755 + 33800. Calculate the lowest common multiple of r and -2 - (-4)/((-8)/(-114)).
495
Suppose 2*o = -f + 52 + 9, 3*f + 4*o = 173. Let z = f - 29. Suppose 6*c = m + c - 31, -2*c - 40 = -5*m. What is the smallest common multiple of m and z?
66
Suppose 0 = z - 2*c - 6, 3 = -5*z - 63*c + 62*c. Suppose z = -54*y + 42*y + 24. What is the lowest common multiple of y and 22?
22
Calculate the common denominator of 671/(-99) + 7 - (-10546)/(-44892) and -137/12.
14964
Let s(m) = 3*m - 14. Let x be s(5). Suppose -x - 5 = 3*o - 3*v, -14 = -5*o - v. Suppose o*c - 300 = -3*c. What is the lowest common multiple of c and 4?
60
Suppose -9 - 1 = 5*k. Let h(o) be the second derivative of -2*o**3/3 - 3*o**2 - 19*o + 12. What is the lowest common multiple of 16 and h(k)?
16
Let n = 21690 + -1670107/77. Find the common denominator of -37/3454 and n.
24178
Let q be ((-117)/6 - 0)*4*1. Let u be 240 + -1 + (-13)/(q/(-12)). Find the common denominator of (u/(-45))/((-16)/(-20)*-1) and 95/22.
132
Let o(d) = d**2 + 11*d + 12. Let q be o(-17). Find the common denominator of q/(-8)*50/645 and -1 - (-190)/16 - 0.
344
Let b = -1802/9 - -1385864/6921. Let t = -17323/19994 - b. Calculate the common denominator of t and 105/22.
286
Let n = 2411610 + -50662235/21. Suppose -g - 325 = 552. Let a = n - g. Find the common denominator of a and 41/30.
210
Find the common denominator of ((-78)/27)/((-383)/(-84) - (-3)/(-4)) and -53/580.
3480
Let g(d) = -3447*d**2 + d - 4. Let t be g(2). Let y = t + 220729/16. Let m = 9268 + -148229/16. Find the common denominator of m and y.
16
Let v = -138888655/306 + 453884. What is the common denominator of v and 137/204?
612
Let b(m) = 586*m**3 - m**2 - 4*m + 6. Let q be b(1). Let d = q - 560. What is the least common multiple of 174 and d?
1566
Let m = 3631 + -98051/27. Suppose -9*r + 10*r + 3*q + 26 = 0, -q - 4 = 0. What is the common denominator of m and r/(-48)*((23 - 10) + -11)?
108
Let a = -20270 - -20414. Suppose 2 + 42 = 4*m. Calculate the least common multiple of a and m.
1584
Let f be (2 - -7) + 7 + -4. Calculate the least common multiple of (80/f)/(12/18) and 6.
30
Find the common denominator of 0 - (1 - (-16)/((-72800)/3927)) and 91/20.
1300
Let k be 207 + -12 + (-2)/(-2 + 0). Let j = k + -172. What is the smallest common multiple of j and 4?
24
Let i = 315 - -501. Suppose 22*b - i = 636. What is the lowest common multiple of 10 and b?
330
Let z(u) = 5*u**2 - 1. Let o be z(1). Let w = 308948 - 308938. What is the least common multiple of (8*o + 0)*2 and w?
320
Let v = -16/817 - -84503/17974. Suppose 2*w - 1287 = 399. Find the common denominator of 3 + 21/(-9) + w/18 and v.
22
Suppose -7144 = 1724*m - 1771*m. Calculate the smallest common multiple of 62 and m.
4712
Let i(y) = -10*y + 80. Calculate the least common multiple of i(-10) and 495.
1980
Suppose -51*c - 4059 = -60*c. Let t = c + -12184/27. Calculate the common denominator of t and -15/8.
216
Let z be 4 - (63/84)/(3/8). Suppose -d + 14 = -s - 7, z*d = -3*s + 37. Calculate the smallest common multiple of 104 and d.
520
Let i(a) = 13*a**2 + 516*a + 5. Calculate the lowest common multiple of 33 and i(-40).
165
Let d = 36 + -22. Let x(o) = -4*o - 67. Let a be x(-18). Suppose -5*l = -2*s - 106, a*l + 2*s = -14 + 128. Calculate the least common multiple of d and l.
154
Suppose 0 = 25*b - 33*b + 624. Let v = -163/2 + b. Let m = -247/10 + 112/5. What is the common denominator of v and m?
10
Let d = 995066471/6 + -19908193661/120. Let s = 57201 + d. Find the common denominator of s and -77/60.
120
Let a = 4385 - 460336/105. Find the common denominator of a and -43/30.
210
Suppose -4*k - 65 - 14 = -b, 0 = -3*b + 5*k + 216. Calculate the smallest common multiple of b and 268.
268
Let t = 67097/6 + -11192. Calculate the common denominator of t and -43/48.
48
Let l = -62/45 + -727/180. What is the common denominator of 290/(-48) - 2/(-6) and l?
24
Let t = -167/99 + 10/11. Let w = 211/99 - t. What is the common denominator of w and 565/(-200) + (1 - 1)?
440
Suppose 4*b + 19608 = p, -4*b - 19622 + 14 = p. Let j be (-19)/b*(-15)/2. Let y = -1539/430 - j. What is the common denominator of -39/22 and y?
220
Let l(a) = a - 2. Let x be l(8). Suppose 4*o - x = 7*o. Calculate the lowest common multiple of 2 and (-3 - -2)/(o + (-31)/(-16)).
16
Let k = 3 + 5. Let z(j) = 8*j**3 + j**2 - 8*j + 16. Calculate the smallest common multiple of k and z(2).
136
Suppose -160 = -2*t - 48. Let b(f) = -4*f**2 + 13. Let k be b(3). What is the smallest common multiple of 21/(-27) + 4/(-18) - k and t?
616
Let m = -137 - -139. Calculate the common denominator of m/4 + 1215/(-189) and -1/20.
140
Suppose 3*j = 3*b - 6, -2*j = -0*b + 2*b - 12. Suppose -3*f = b*k + f - 64, 0 = -5*f - 20. Let r = 2049 + -2033. Calculate the least common multiple of r and k.
80
Let c = -23/2 + 114/5. What is the common denominator of 5/2542 and c?
12710
Let b be -1 + 14/220 + 32/64. Let j = b + 1048/385. Calculate the common denominator of 31/4 and j.
28
Let j = 37 + -38. Let v be (6/(-3) - 39)*j. Suppose v - 131 = -6*d. Calculate the least common multiple of d and 10.
30
Suppose 8*l - 11*l + 84 = 0. What is the lowest common multiple of l and 312?
2184
Let f = -12539/19818 - 17/1101. What is the common denominator of f and (2/5)/(8 - (-26564)/(-3277))?
270
Let k = 190 + -201. What is the lowest common multiple of 30 and 149 + k + (-1 - -1)?
690
Let o = -941683 + 941707. Let s = -3 + 5. Suppose -s*l = -0*l - 