.
6
Let g(w) = -w**3 + 12*w**2 + 14*w - 12. Let y be g(13). Suppose -99 = -7*a - y. Calculate the smallest common multiple of a and 3.
42
Let g be 1*(0 + -3) - 1. Let i = g - -32. Calculate the least common multiple of 36 and i.
252
Suppose 5*y - 3*y = 100. Let w = -5 + y. What is the smallest common multiple of w and 33?
495
Calculate the common denominator of -58/15 and 5120/(-3132) + 14/(-203).
135
Let h = -7450/3 + 2504. What is the common denominator of h and (-2)/(-6) - (-113)/(-18)?
18
Suppose 2*i - 12 = -2*i. Suppose i*s - 30 = s. Suppose -10 = -5*x + s. What is the least common multiple of 5 and x?
5
Let m = 647/9 + -1471/18. Calculate the common denominator of m and 1 - (0 + 207/(-114)).
114
Let l be (-2)/(-8) - 2180/16. Find the common denominator of 13/30 and ((-2)/l)/(((-99)/(-876))/11).
510
Let j be -5 - -1 - (-7 - -14). Let w(d) = -d**3 - 11*d**2 + d + 13. Let o be w(j). Calculate the least common multiple of o/(-8) + (-100)/(-16) and 9.
18
Let r(t) = t**2 + 14*t + 15. Let b(f) = -14*f**3 - 2*f**2 + 2*f. Let x be b(1). What is the smallest common multiple of r(x) and 15?
15
Let p be (-24)/(-13) + (-30)/(-195). Suppose k + 130 = 3*s, -17*s + 21*s - p*k = 170. Calculate the least common multiple of 11 and s.
495
Suppose -2*t + 0*t = 0. Suppose -5*z + 4*b + 30 = t, -5*z - 2*b = -0*z. Suppose 8 = z*i - 4. What is the least common multiple of i and 1?
6
Let y(w) be the third derivative of 1/6*w**3 + 0 + 0*w - w**2 - 5/24*w**4. What is the common denominator of y(-6) and -11/3?
3
Let c = 6 + 6. Suppose -h = -3*a - c, 0 = -4*h + a - 9 + 2. What is the common denominator of (15 - -4)*h/48 and 35/12?
48
Suppose 2*z - 147 = 5*z. Let x = z - -53. Calculate the smallest common multiple of x and 1*((-3 - -1) + 4).
4
Suppose 4*y + 8 = -2*h, -3*h = -4*y + 2*y - 4. Calculate the common denominator of -35/18 and 15/26 - y - (-15 - -19).
234
Suppose 4*m - 15 = 17. Suppose m = f - 6. What is the lowest common multiple of f and 6?
42
Suppose -14 = 3*c + 7. Let n = c - -7. Suppose 4*d + n*d - 24 = 0. What is the lowest common multiple of 3 and d?
6
What is the common denominator of 49/528 and ((-206)/252)/((-88)/(-12) - 8)?
3696
What is the least common multiple of 115 and (-70)/(-2) - (-15 - -15)?
805
Let m = -1881111/127 - -14812. What is the common denominator of m and 32/3?
381
Let a = -68371/440 + 777/5. Find the common denominator of -127/24 and a.
264
Suppose 1442*w - 72 = 1436*w. Suppose n + 15 = 6*n. Calculate the lowest common multiple of n and w.
12
Suppose 394 = 4*x + 2*c, 0 = 3*x - 17*c + 18*c - 297. Calculate the least common multiple of 40 and x.
200
Let b be 5/(-10)*(-2 + 36). Let o = -9 - 5. Let h = o - b. Calculate the least common multiple of h and 3.
3
Suppose -2*n = 2*f - 8, -6 = -2*f - 3*n + 4. Suppose -s + f = 6. Calculate the common denominator of (s/(-20))/((-6)/(-75)) and 24.
2
Let n(c) = c**2 - 9*c + 8. Let f be n(9). Let g be -2*20/f - -3. Calculate the common denominator of (g - (-91)/12) + 2 and 143/18.
36
Suppose -63 + 8 = -5*y. Let c(t) = t**3 - 10*t**2 - 12*t + 15. What is the least common multiple of 2 and c(y)?
4
Let k(x) = 3*x**2 - 8*x - 3. Calculate the smallest common multiple of k(5) and 48.
96
Let k = 79 - 2. Suppose -4*i = 3*i - k. Suppose -7 = 3*d - 46. What is the least common multiple of i and d?
143
Suppose -173*u - 30 = -176*u. What is the lowest common multiple of 45 and u?
90
Suppose 40*k - 18 = -2*n + 36*k, 4*k + 3 = 5*n. What is the smallest common multiple of 162 and n?
162
Let u = 1255/21 + -346/7. Find the common denominator of u and -58/21.
21
What is the smallest common multiple of 63 and (49 - 53)*(-1)/4*9?
63
Let t(p) = -25*p + 964. What is the lowest common multiple of t(38) and 98?
98
Suppose 3*k - 7 = 4*d + 10, 0 = -k - 5*d - 7. Suppose 0 = k*s - 2*b - 31, -2*s + 13 = -2*b - 7. What is the least common multiple of (2 + -1)/(1/3) and s?
33
Let n = 2 + 5. Suppose 0 = 2*f - n*s + 2*s - 25, 4*s - 8 = -4*f. Suppose o - 17 + 13 = 0. Calculate the least common multiple of f and o.
20
Let t = 226 - 146. Calculate the smallest common multiple of t and 16.
80
What is the common denominator of -101/18 and (-4 + 308/(-16))/(123/2)?
738
Let f = -94949/546 + 1212/7. What is the common denominator of f and -173/30?
390
Let b be 0 - 3 - 160/1. Let z = -22835/76 - -8820/19. Let s = b + z. Calculate the common denominator of s and -73/6.
12
Let w = 28291/224 + -890/7. Calculate the common denominator of w and -35/32.
32
Calculate the common denominator of 355*(-1)/(-30) + 1/4 and 151/12.
12
Let o = 3670 + -44047/12. Find the common denominator of 41/(-42) - (-3)/3 and o.
84
Let p be 19 - 3/2*2. What is the common denominator of -42/11 and (2/(-147))/(p/4248*9)?
1617
Suppose 0*t - 2*t + 4 = 0. Find the common denominator of t/(-8) + 188/48 and -43/33.
33
Let f = 19 + -9. Suppose 0 = 12*c - 6*c - 420. Let h = -52 + c. What is the least common multiple of f and h?
90
Find the common denominator of 1 - 2 - 17/3 and (-98)/(-6) - (80 + -85).
3
Find the common denominator of -17 + 15 - (2 - 2103/504) and -59/108.
1512
Find the common denominator of 111/20 and (-688)/(-520)*((-15)/(-4))/(-3).
260
Let z = 2461 + -14885/6. What is the common denominator of 79/12 and z?
12
Let n = -258 + 516. Calculate the lowest common multiple of 16 and n/13 + (-18)/(-117).
80
Suppose 0 = 9*v + 37 - 1. Calculate the common denominator of 35/11 and 38*((-38)/8 - v).
22
Suppose 7*b - 346 = 11. Calculate the lowest common multiple of 306 and b.
306
Suppose -t + 2*t = -3, -2*t = -3*m + 126. Calculate the lowest common multiple of 10 and m.
40
Suppose -10*n - 136 = -6*n. Let r = -24 - n. Find the common denominator of 677/(-30) + 4/r and -38/11.
66
Let w = -64541/8 + 8057. Find the common denominator of w and (-428)/(-3)*(0 - (-6 + (-5755)/(-960))).
144
Suppose q + 10 = -2*k + 25, -5*q = 3*k - 33. Let b(x) = -x**3 - 6*x**2 + 6*x + 2. Let n be b(-7). Let r = n + 3. What is the least common multiple of k and r?
12
Let j = -5119897/21065904 + -2/146291. Find the common denominator of j and -33/4.
144
Let w = -155 + 246. What is the common denominator of (-66)/15 + (0 - 1) and (-14)/w + (-2)/(-182)?
35
Suppose -2*o + 290 = 5*c, 4*o - 21 + 1 = 0. What is the smallest common multiple of 6 and c?
168
Calculate the common denominator of 45/7 and 6/18*(-22)/26.
273
Calculate the smallest common multiple of -20*(76/(-10) + 2 + 4) and (-468)/(-30) - 2/(-5).
32
Let q = -235985/28 - -8424. Calculate the common denominator of q and 39/28.
28
Let w be 1/36*3/(-478). Let g = w + -243773/40152. What is the common denominator of (90/(-100))/((-3)/(-23)) and g?
70
Find the common denominator of -68/81 and 8/(-48)*(-4 - 114/81).
81
Let f = -14660/11 - -1334. Let w be 3663/(-55) + (-6)/(-10). Find the common denominator of (-182)/w - (1 - -1) and f.
33
Suppose 3*o + s + 25 - 68 = 0, s - 15 = -o. Suppose 0 = 7*h + 3 - 45. Suppose -j - h + 26 = 0. What is the lowest common multiple of o and j?
140
Suppose -3*i - 168 = 84. Let d = 63 + i. Find the common denominator of d and 39/5.
5
Let v = 14 - -5. Let n = 6 + v. Suppose 5*u = n, -u + 6*u + 7 = 4*q. Calculate the smallest common multiple of q and 7.
56
Suppose 11*d + 74 = 8. Suppose -1880 = -3*z - 521. Find the common denominator of (z/(-30))/(d/5) and -75/16.
48
Let y(a) = a**2 + 18*a + 14. Let b be y(-7). Calculate the common denominator of 189/12 + (-2)/8 and 4 - (b/(-66) + 1).
22
Suppose -3*k = 2*k. Suppose -4*g + 56 = -k*g. Calculate the lowest common multiple of 16 and g.
112
Let y = -48920/1221 + 88/111. Let b = -3734/99 - y. Let p = 3/4 + -11/20. What is the common denominator of b and p?
45
What is the smallest common multiple of (-160)/24*(-210)/25 and 77?
616
What is the common denominator of -53/40 and 22/(-55) - 956/(-600)?
600
Let l(d) = 38*d - 64. What is the lowest common multiple of l(2) and 12?
12
Suppose -4*a = 8, -2*x - 6 = -x + 4*a. Calculate the common denominator of 3324/(-1080) - x/9 and 29/12.
60
Let s(j) = 2*j**2 - 16*j + 16. What is the lowest common multiple of 26 and s(7)?
26
Suppose -3*p = 3*f + f - 5083691, 0 = 3*p - 15. Let l be (3/(-10))/(78/f). Let s = l - -4894. Find the common denominator of s and -71/20.
20
Calculate the common denominator of 18/(-27)*1/((-44)/171) and 