Let a(m) = 3*m - 63. Let u be a(23). Let r be 0 - u/1 - 660/(-88). Factor -r*q - 15/2*q**2 + 15/2 + 3/2*q**3.
3*(q - 5)*(q - 1)*(q + 1)/2
Let i(l) be the second derivative of -5*l**4/18 - 146*l**3/3 + 176*l**2/3 - 4*l + 34. Find r, given that i(r) = 0.
-88, 2/5
Suppose -79 = -4*l + 3*b, -4*b + 60 + 0 = 5*l. Suppose 4*f - 4 = -3*m + l, f + 4*m = 18. Factor -f*a**2 + 0 + 2/3*a**4 - 4/3*a + 0*a**3.
2*a*(a - 2)*(a + 1)**2/3
What is n in 0*n - 77/6*n**3 + 20/3*n**4 - 1/6*n**5 + 19/3*n**2 + 0 = 0?
0, 1, 38
Let x = -552733 - -552733. Factor x*v - 2/7*v**4 + 54/7*v**2 + 0 + 52/7*v**3.
-2*v**2*(v - 27)*(v + 1)/7
Let r(a) be the third derivative of 1/40*a**6 - 4/3*a**3 + 1/30*a**5 - 1/2*a**4 + 0 - 2*a - 54*a**2. Suppose r(x) = 0. Calculate x.
-2, -2/3, 2
Determine d so that 399*d**3 + 2*d**5 - 7*d**4 + 393*d**3 - 798*d**3 + 36*d**2 - d**4 = 0.
-2, 0, 3
Let s(m) = m**2 + 17*m + 85. Let o be s(-8). Suppose -29 = -8*y - o. Factor -1/4*n**y + 1/4 + 0*n.
-(n - 1)*(n + 1)/4
Let k(c) = -c**3 - 13*c**2 + 11*c + 3. Let g(a) = 16*a - 2*a**3 + 8 + 25*a - 38*a**2 - 9*a. Let f(d) = 3*g(d) - 8*k(d). Factor f(s).
2*s*(s - 4)*(s - 1)
Let z(j) be the first derivative of -3*j**4/16 - 110*j**3 - 1317*j**2/8 + 1469. Factor z(w).
-3*w*(w + 1)*(w + 439)/4
Let c(r) = -18*r + 15*r - 5*r + 6*r**2 - 16*r + 23 - 10*r. Let v be c(5). Factor 0 + 4/3*x - 2/9*x**2 - 2/9*x**v.
-2*x*(x - 2)*(x + 3)/9
Let j(h) be the second derivative of h**6/195 + h**5/26 - 41*h**4/78 - 15*h**3/13 - 2*h - 1248. Factor j(f).
2*f*(f - 5)*(f + 1)*(f + 9)/13
Let n = 17/18706 - -37327/93530. Let k = 128/45 - 22/9. Let -12/5 + k*u**2 - n*u = 0. Calculate u.
-2, 3
Let 77 - 58*a**3 - 860 + 3038*a - a**4 - 717*a**2 + 558*a - 3061 = 0. What is a?
-31, 2
Suppose 69 + 4*n**4 - 37538*n - 109*n**3 + 407*n**2 - 37470*n + 74637*n = 0. What is n?
1/4, 1, 3, 23
Let n(b) be the third derivative of 2/45*b**6 + 0*b**4 + 0*b + 2/45*b**5 - 8*b**2 + 1/504*b**8 + 1/63*b**7 - 1 + 0*b**3. Factor n(w).
2*w**2*(w + 1)*(w + 2)**2/3
Let u(w) be the second derivative of 1/6*w**4 + 3*w + 19/3*w**3 - 20*w**2 + 0. Factor u(b).
2*(b - 1)*(b + 20)
Let k(d) be the second derivative of -d**4/6 + 794*d**3 - 1418481*d**2 - 278*d + 2. Factor k(l).
-2*(l - 1191)**2
Let p(o) be the first derivative of 3*o**5/5 + 3*o**4/2 + o**3 - 3457. Factor p(h).
3*h**2*(h + 1)**2
Let i be 1 - -1 - 1044/1218. Factor 2/7*w**4 - 8/7*w**3 + 12/7*w**2 + 2/7 - i*w.
2*(w - 1)**4/7
Factor -216 + 15*w**2 + 67*w - 25*w + 94*w - 22*w - 18*w**2.
-3*(w - 36)*(w - 2)
Let t(k) be the first derivative of 3*k**4/4 + 17*k**3 - 207*k**2 - 1747. Factor t(r).
3*r*(r - 6)*(r + 23)
Factor 45/2 - 1/4*l**2 - 89/4*l.
-(l - 1)*(l + 90)/4
Let c(k) = 32*k**2 + 15872*k - 120. Let b(q) = 13*q**2 + 6349*q - 50. Let y(z) = -12*b(z) + 5*c(z). Determine x, given that y(x) = 0.
-793, 0
Let d be ((-16)/9)/(-8)*(-2326)/(-4). Let y = d - 129. Find l, given that -2/9*l + y*l**2 + 2/9*l**3 - 2/9 = 0.
-1, 1
Suppose -6*j + 13*j - 665 = 0. Let -5 - 7926*g**2 - 10*g**4 - j*g**3 + 5 - 40*g + 7801*g**2 = 0. Calculate g.
-8, -1, -1/2, 0
Let s(m) be the first derivative of -5*m**4/4 - 215*m**3 + 5*m**2/2 + 645*m - 2839. Determine l so that s(l) = 0.
-129, -1, 1
Factor -22/5*j + 2*j**3 + 0 - 13/5*j**2 + 1/5*j**4.
j*(j - 2)*(j + 1)*(j + 11)/5
Let g(q) = 2*q**4 + q**3 + q**2 - 2*q + 3. Let t(w) = -12*w**4 + 25*w**3 - 23*w**2 + 8*w - 3. Let a(z) = -2*g(z) - 2*t(z). Factor a(v).
4*v*(v - 1)**2*(5*v - 3)
Let y be 4/(60/(-25))*3 - -8. Let n be (3 - (y + -1) - -3)/22. Factor -n*x**2 - 2/11*x + 2/11*x**3 + 0 + 2/11*x**4.
2*x*(x - 1)*(x + 1)**2/11
Let k(y) be the second derivative of -1/25*y**6 + 2/5*y**4 + 7/10*y**3 - 1/70*y**7 + 3/50*y**5 + 6 + y + 3/5*y**2. Factor k(m).
-3*(m - 2)*(m + 1)**4/5
Let f = 75254/253 - 6812/23. Let -10/11*u + f*u**2 - 4/11 = 0. What is u?
-2/7, 1
Let a be ((-4)/(-3) - -2)/(8/48). Suppose 19*t + 8*t**3 - a*t**2 + 19*t + 12*t - 42*t = 0. Calculate t.
0, 1/2, 2
Let r(i) be the second derivative of i**7/126 + 1391*i**6/90 + 96883*i**5/12 + 483025*i**4/36 + 1344*i. Determine p, given that r(p) = 0.
-695, -1, 0
Let m(a) be the third derivative of -16*a**2 + 0*a - 67/150*a**5 - 1 - 1/30*a**4 + 0*a**3. Factor m(w).
-2*w*(67*w + 2)/5
Let k(n) be the third derivative of -n**6/480 + 29*n**5/60 + 601*n**4/96 + 121*n**3/6 + 60*n**2 + 42*n - 1. Factor k(g).
-(g - 121)*(g + 1)*(g + 4)/4
Let t = 1542 - 1537. Suppose -k + 1 = 4*b - 12, -b - 5*k = -8. Determine h so that h + 2*h**2 - b*h - 3*h**2 - 6*h**3 - 2*h**4 - t*h**2 = 0.
-1, 0
Let z(t) = t**4 + t**3 + 4*t**2 - 2*t. Let v(j) = -60*j**4 - 45*j**3 + 348*j**2 + 210*j + 48. Let k(o) = -v(o) + 15*z(o). Factor k(d).
3*(d - 2)*(d + 2)*(5*d + 2)**2
Let v(z) be the first derivative of -z**4/15 - 7*z**3/30 + z**2/5 - 3*z + 10. Let g(l) be the first derivative of v(l). Factor g(w).
-(w + 2)*(4*w - 1)/5
Let v(g) be the first derivative of g**4/40 - 5*g**3/6 + 21*g**2/5 + 3356. Factor v(i).
i*(i - 21)*(i - 4)/10
Suppose -4*p + 68 = 2*u + 2*u, 3*u - 58 = 4*p. Let z be (-34)/(-306) - (2 - 88/u). Factor 4 + 2/3*v**z + 22/3*v + 4*v**2.
2*(v + 1)*(v + 2)*(v + 3)/3
Let s be 33/275*2/24*10. Let m(p) be the third derivative of 0*p + 1/40*p**6 - p**2 + s*p**5 + 0 + 0*p**3 + 1/8*p**4. Suppose m(h) = 0. Calculate h.
-1, 0
Let w(o) be the third derivative of -1/105*o**6 + 0*o**3 + 1/105*o**5 - 2/735*o**7 + 1/21*o**4 + 5*o**2 + 0*o + 3. Find i such that w(i) = 0.
-2, -1, 0, 1
Let v(r) be the third derivative of 13/24*r**6 + 10/21*r**7 + 0*r**4 + 15/112*r**8 + 1/6*r**5 + 0*r - 55 + r**2 + 0*r**3. Factor v(y).
5*y**2*(y + 1)**2*(9*y + 2)
Let x(l) be the second derivative of -3*l**5/5 + 13*l**4/3 - 4*l**3/3 - 16*l**2 - l - 77. What is m in x(m) = 0?
-2/3, 1, 4
Factor -922 + 349*t - 28*t + 130*t + t**2 + 8*t.
(t - 2)*(t + 461)
Let p = -825 + 49501/60. Let m(v) be the third derivative of 14*v**2 + 1/70*v**7 + 0*v**6 - p*v**5 + 0*v**4 + 0*v + 0*v**3 + 1/168*v**8 + 0. Factor m(a).
a**2*(a + 1)**2*(2*a - 1)
Determine w so that -240/17*w**2 - 128/17*w**3 + 160/17 + 50/17*w**4 + 6/17*w**5 + 416/17*w = 0.
-10, -2, -1/3, 2
Let z be 2*-5*4/8*1. Let s be (-16)/6*(49/14 + z). Let -30*y**2 - 14*y**3 + 7 - 1 - 23*y - 3*y - 2*y**s - 14 = 0. Calculate y.
-4, -1
Let z be (1260/(-20580))/((-4)/84). Factor z*x + 3/7*x**2 - 12/7.
3*(x - 1)*(x + 4)/7
Factor -3267 + 85026*h**3 + 195*h**2 - 170055*h**3 + 85026*h**3 - 3069*h.
-3*(h - 33)**2*(h + 1)
Let w(o) = 68*o**2 - 1682*o + 11297. Let n(b) = -436*b**2 + 10932*b - 73432. Let u(p) = -5*n(p) - 32*w(p). Factor u(r).
4*(r - 202)*(r - 7)
Let j(v) be the first derivative of 8/3*v**3 - 43/2*v**4 + 0*v - 44/5*v**5 + 7*v**6 + 4*v**2 - 50. What is i in j(i) = 0?
-1, -2/7, 0, 1/3, 2
Let z(l) = -l**3 + 8*l**2 + l - 14. Let o be z(-6). Factor -16*b**2 - 120*b**4 + 17*b**3 - 47*b**4 + 45*b**4 - 186*b**4 + o*b**5 - 177*b**3.
4*b**2*(b - 1)*(11*b + 2)**2
Factor 5*z**3 + 820 - 466*z - 523*z + 569*z - 405*z**2.
5*(z - 82)*(z - 1)*(z + 2)
Factor -102400/9 + 2/9*d**3 + 52480/9*d - 644/9*d**2.
2*(d - 160)**2*(d - 2)/9
Let y(g) be the third derivative of -g**6/780 - 21*g**5/130 + 16*g**4/39 - 13*g**2 + g - 1. Determine o so that y(o) = 0.
-64, 0, 1
Let c(l) be the second derivative of -4*l**6/5 - 717*l**5/20 - 753*l**4/2 + 2144*l**3 - 768*l**2 - 363*l + 2. Determine j so that c(j) = 0.
-16, 1/8, 2
Let l(s) be the first derivative of s**6 - 1329*s**5/5 + 1983*s**4/4 - 220*s**3 + 4922. Determine w so that l(w) = 0.
0, 1/2, 1, 220
Let j(q) be the first derivative of q**6/12 + 8*q**5/5 + 83*q**4/8 + 82*q**3/3 + 24*q**2 + 1311. Suppose j(z) = 0. What is z?
-8, -4, -3, -1, 0
Let h be 2/(0 - (-5 - (-263)/53)). Factor 5*z**2 - 3*z**2 - h*z + 76*z + 8 + 3*z**2 + 2 - 2*z**3.
-(z - 5)*(z + 2)*(2*z + 1)
Let o(j) be the third derivative of -j**5/150 - 11*j**4/60 - 2*j**3 + 735*j**2. Factor o(m).
-2*(m + 5)*(m + 6)/5
Determine y so that -36*y**2 - 73*y + 4*y**4 + 32 + 138*y - 57*y - 8*y**3 = 0.
-2, -1, 1, 4
Find c such that -60*c + 9/2*c**4 + 0 - 477/2*c**2 - 174*c**3 = 0.
-1, -1/3, 0, 40
Let w(p) be the third derivative of -p**8/420 + 2*p**7/175 - p**6/75 - 2*p**5/75 + p**4/10 - 2*p**3/15 - 59*p**2 - 7. Let w(v) = 0. Calculate v.
-1, 1
Let a be 5671/318 - (-14)/12. Let x(g) be the third derivative of 0*g + 1/12*g**4 + a*g**2 + 1/60*g**5 + 0 - 1/2*g**3. Determine c, given that 