 c(t) = -3*t**2 + t - 1. Let h be c(2). Let z = h - -13. Suppose -z*b + 32 = 2*b. Calculate the least common multiple of b and 20.
40
Let r(z) = 2*z**3 - 51*z**2 + 25*z + 8. Suppose 0 = -5*a + 23 + 17. Calculate the smallest common multiple of a and r(25).
8
Suppose 15*l - 14 = 13*l. Suppose -224 = -l*v - 0*v. What is the lowest common multiple of v and 24?
96
Let v be (-2 - -1)/(3*(-3)/279). Calculate the lowest common multiple of 44 and (v - 5) + (-7)/((-14)/(-4)).
264
Suppose 0 = -6*v + 219 + 69. Suppose v = -12*u + 156. Suppose 5*f + 2*z - 15 = -0*z, -4*f = z - 12. What is the smallest common multiple of u and f?
9
Let t(w) = -w**3 - 8*w**2 + 8*w - 7. Let x be t(-9). Let o be 4 - (x - (-668)/148). Let q = o - -3743/444. What is the common denominator of q and 47/6?
12
Suppose 0 = -5*q + 63 + 112. Let f = -32 + q. Calculate the lowest common multiple of f and 8.
24
Suppose 22*z - 18*z = 120. Calculate the least common multiple of z and 100.
300
Let u(h) = 2*h**2 + 10*h + 11. Suppose 3*l - s + 19 = 0, 9 = 2*l - 3*l + s. Calculate the least common multiple of u(l) and 19.
209
Let w(c) = 4*c**2. Suppose 0 = 5*z - z - 4. Suppose -32*j + 286 = -34. What is the smallest common multiple of w(z) and j?
20
Suppose 8*l = 125 - 85. Find the common denominator of l and -123/40.
40
Let u be ((-13)/(-26))/(1/4). Suppose 0 = -0*v + u*v - 10. Find the common denominator of v/(-16)*(-232)/40 and -151/6.
48
Suppose 3*y - 1 = -5*j, -y - 5 = 2*j + 2*y. Suppose 3*o + j*o = 150. What is the smallest common multiple of 3 and o?
30
Let n(p) = -p + 6. Let d(r) = -r + 10. Let g be d(3). Let z be n(g). Calculate the common denominator of 77/26 and z + -1 + (-82)/(-12).
78
Let n = 7197973/16 + -449550. Let i = 323 - n. Calculate the common denominator of (2/25)/(8/370) and i.
80
Let d = 185 - 145. What is the smallest common multiple of d and 15?
120
Let o = -281 - -291. What is the least common multiple of o and 86?
430
Let w = -1036 - -2111/2. What is the common denominator of -149/6 and w?
6
Let s be ((-15)/(-10))/(2/(-197852)). Let w = s - -1903682482/12829. Let k = -1039127/282238 - w. What is the common denominator of 45/14 and k?
154
Let d(k) = 2*k**2 - 34*k + 36. What is the least common multiple of 6 and d(16)?
12
Let j(g) = 7*g - 19. What is the least common multiple of j(19) and 12?
228
Let i(t) = -2*t**2 + 28*t + 36. Let a(c) = 2*c**2 + 3*c - 7. Calculate the least common multiple of a(-5) and i(15).
84
Suppose 0 = -4*y - 2*a + 64, 4*y - 9*y + 2*a = -62. Calculate the smallest common multiple of 15 and ((-8)/y)/(4/(-42)).
30
Let u be (-3015)/(-12) - 6/24. Let j = -2738/11 + u. What is the common denominator of j and -5/7?
77
Suppose 5*f + 30 = 5*j, 7*j - 3*f - 28 = 2*j. Calculate the common denominator of 21/4 and (-91)/10 - ((-1 - 3) + j).
20
Let u = -1540580/117 + 39503/3. Calculate the common denominator of -19/364 and u.
3276
Let y(o) = -o + 1. Let b = 69 - 49. Calculate the least common multiple of b and y(-3).
20
Let t = -1 + 17. Let k = 33 - t. Calculate the lowest common multiple of 5 and k.
85
Let u be -3 + ((-105)/40)/(6/(-52)). Let c = u - 349/28. Calculate the common denominator of 36/29 and c.
203
Calculate the common denominator of 6944/(-22240) + 3/5 and -15.
139
Let s be (-323)/7 + 7/49. Calculate the common denominator of (-572)/(-80) + -3 + -4 and s/12*(-6)/18.
180
Let l = -1388755/108 + 12859. Find the common denominator of 115/108 and l.
108
Let g = -15772 - -347063/22. Let c = 480/6413 - -7/242. Calculate the common denominator of c and g.
1166
Let u(n) = -n**2 - 7*n - 12. Let b be u(-9). What is the common denominator of -52/27 and -26*3/b*3/(-9)?
135
Let v = 51357 - 3081317/60. Calculate the common denominator of 91/20 and v.
60
Let z be (3385/(-25))/(16/(-2036)). Let i = z + -17224. Calculate the common denominator of i and 149/42.
420
Suppose -3*k + 110 = 19*k. Let b(g) = -g**3 + 7*g**2 + 9*g - 7. Calculate the lowest common multiple of b(8) and k.
5
Let v = 23 + -34. Let c = 31 + v. Calculate the common denominator of -97/12 and 5/c - (-201)/(-44).
132
What is the lowest common multiple of 22 and 4/((-8)/10)*132/(-30)?
22
Let q = -36351/11 + 3302. Let x = -32728 + 2454661/75. Calculate the common denominator of q and x.
825
Let p(r) = -r**2 + 34*r - 15. Calculate the smallest common multiple of p(31) and 2.
78
Calculate the least common multiple of 16 and (-5 - (-48)/(-18))*(-4 - 2).
368
Let b(k) = -3*k**2 - 21*k - 9. Calculate the smallest common multiple of b(-5) and 3.
21
Suppose g = c, 13 = 3*c + 4. Calculate the smallest common multiple of -7*3/3*(-7)/7 and g.
21
Suppose -14 = 2*k - 5*i - 70, 0 = -i - 4. What is the smallest common multiple of 126 and k?
126
Suppose 5*s + 312 = 2. Let u = -48 - s. Calculate the least common multiple of u and 12.
84
Suppose -d - 10 = 5*w, -5*w + 4*d - 3*d = 10. Calculate the common denominator of (-1)/w + (-201)/270 and -61/30.
90
Suppose -2*y - 2*n = -3*y + 14, -3*n + 9 = 0. What is the common denominator of -3/4 and y/40 + (-48)/14?
28
Let h(v) = -2*v**2 - 16*v + 5. Let s be h(-8). Suppose p - 60 = -p + 3*q, -s*q = -5*p + 140. Calculate the smallest common multiple of p and 4.
24
Let t(j) = -18*j. Let f be t(2). Calculate the common denominator of (7/35)/(f/1390) and (15/24)/((-1)/(-38)).
36
Calculate the common denominator of 101/44 and 16958/4880 + (-3 - -1).
440
Let k be (-446)/(-8) + 4/16. Suppose -5*y + k + 134 = 0. Let l = -411/11 + y. Find the common denominator of l and -43/6.
66
Suppose 0 = q - 5*o, 68 = 3*q + o + o. Calculate the least common multiple of 64 and q.
320
Let b(k) = 6*k**2 - 33*k + 15. Let a(d) = -3*d**2 + 16*d - 7. Let i(w) = -9*a(w) - 4*b(w). What is the smallest common multiple of i(4) and 3?
3
Let q = 25 + -20. Calculate the common denominator of 2/q*(6 - 478/8) and 25/9.
18
Let u(k) = 7*k + 2. Let m be u(5). Suppose 0 = 4*n - 3*g - m, 4*n + 4*g - 3*g = 41. Find the common denominator of (-1525)/n*(-4)/(-180) and -95/4.
36
Let y = -2626 + 57713/22. Calculate the common denominator of y and 109/24.
264
Suppose -20*l + m - 20 = -21*l, 2*m + 50 = 3*l. Find the common denominator of (-2)/6*25/(-2) and (-17)/l*(-52 + 47).
18
Let j(z) = -z**3 + 9*z**2 - 6*z + 6. Let w be j(6). Suppose 0 = 17*s - 20*s + w. What is the lowest common multiple of s and 8?
104
Let j = 156188/5 - 30703. Let n = -533 + j. Find the common denominator of n and ((-71)/5)/(2/(-5)).
10
Let k = -537/100 - -21/4. Let a = 1516/75 - k. Calculate the common denominator of (-1 - -1) + 118/(-20) and a.
30
Calculate the common denominator of -103/6 and (6/40)/(57/(-2546)).
30
Let r be ((-15)/2)/1*-6. Suppose 3*s + 3 = 0, 2*s = 2*v + s - r. Let w = 32 - v. What is the least common multiple of 6 and w?
30
Let t(g) = g**2 - g + 5. Suppose -5*u - 25 = 0, 5*q = 2*q - 5*u - 34. What is the lowest common multiple of t(0) and (q - -1)*(-11)/22?
5
Let y = -1 + 17. Let i be (-1331924)/y*4/(-18). Let r = -18504 + i. Find the common denominator of 7/10 and r.
90
Calculate the common denominator of 37/18 and 2951/1092 + 9/(-3).
252
Let h(a) be the first derivative of a**4/4 + 4*a**3 - a**2/2 + 12. Calculate the least common multiple of 18 and h(-12).
36
Let p = 16808/5229 + -1/10458. Let d = 149/3 + -1841/36. Calculate the common denominator of p and d.
252
Let h(s) be the second derivative of -s**4/12 + 5*s**3/6 + 8*s**2 + 6*s. What is the smallest common multiple of h(7) and 2/4*2*18?
18
Calculate the least common multiple of (-523)/(-11) - (20 - 642/33) and 23.
1081
Suppose -4*d - 122 = -5*b, 3 = -5*b - 7. Let m = 51 + d. Calculate the lowest common multiple of m and 10.
90
Suppose 0 = -10*p + 5*p + 10. Suppose b - p - 12 = 0. What is the least common multiple of b and 6?
42
Calculate the lowest common multiple of 20/50 - (-590)/25 and 9.
72
Suppose d = -3*d - 2*x + 20, -5*d = -2*x - 7. Suppose -p - d*b + 4*b - 4 = 0, 5*b = 4*p + 14. What is the common denominator of 2004/56 + p/21 and -37/7?
14
Let d = 90 - 1044/11. Find the common denominator of 52/47 and d.
517
Let x = -4603/267 + -38/89. What is the common denominator of x and 21/62?
186
Let v be (-2)/6 + 28/(-6). Suppose 5*d = -2*j + 40, 2*d = 5*j - 10*j + 79. Let q = v + j. What is the lowest common multiple of 2 and q?
10
Suppose 13*u - 1005 = 1374. What 