
4*(z - 2)*(z - 1)**3
Let p(m) be the third derivative of -m**5/60 - m**4/12 - m**3/6 - 2*m**2. Solve p(f) = 0 for f.
-1
Let x = -87 + 436/5. Let n(i) be the first derivative of x*i**3 + 0*i**4 - 3/25*i**5 + 0*i**2 + 4 + 0*i. Suppose n(o) = 0. What is o?
-1, 0, 1
Let f = 15 - 13. Determine g, given that -3 - 11 + 2 - 4*g**f + 16*g = 0.
1, 3
Let w(q) be the third derivative of q**8/112 - 2*q**7/35 + 3*q**6/20 - q**5/5 + q**4/8 - 17*q**2. Factor w(x).
3*x*(x - 1)**4
Let s(r) = -9*r**4 - 6*r**3 - 6*r**2 + 6*r + 9. Suppose 5 = -2*y - 7. Let j(x) = x**4 + x**2 - 1. Let t(v) = y*j(v) - s(v). Factor t(q).
3*(q - 1)*(q + 1)**3
Let l(o) = 3*o**2 + 7*o + 6. Let w be l(-1). Determine s so that -1/3 - 1/2*s + 1/3*s**w = 0.
-1/2, 2
Suppose -207*l = -201*l - 24. Let 2/5*k**l - 2/5*k**3 + 2/5*k + 0 - 2/5*k**2 = 0. Calculate k.
-1, 0, 1
Let k(p) be the third derivative of -p**6/240 + p**5/60 + 5*p**4/48 - p**3/2 + 24*p**2. Factor k(z).
-(z - 3)*(z - 1)*(z + 2)/2
Let u(b) be the first derivative of -25*b**6 + 327*b**5/2 - 849*b**4/4 - 515*b**3/2 + 9*b**2 + 54*b + 10. Let u(a) = 0. Calculate a.
-2/5, 1/4, 3
Let l(k) be the third derivative of -k**6/240 + k**5/120 + k**4/24 + 8*k**2. Factor l(a).
-a*(a - 2)*(a + 1)/2
Let y(h) be the first derivative of -h**4/12 + h**3/9 + h**2/6 - h/3 - 8. Factor y(c).
-(c - 1)**2*(c + 1)/3
Let n(i) be the first derivative of 3*i**5/5 - 3*i**3 + 3*i**2 + 8. Factor n(l).
3*l*(l - 1)**2*(l + 2)
Let q(f) be the first derivative of -f**5/40 - f**4/16 - 3*f**2/2 - 3. Let b(a) be the second derivative of q(a). Determine w so that b(w) = 0.
-1, 0
Let i(p) be the second derivative of 1/14*p**2 - 1/21*p**3 - 1/210*p**6 + 0*p**4 + 1/70*p**5 + 0 - p. Let i(z) = 0. What is z?
-1, 1
Let m be 2 - 502/99 - -2. Let o = m - -24/11. Factor 0*r**2 + 4/9*r**3 + 0*r - o*r**4 - 14/9*r**5 + 0.
-2*r**3*(r + 1)*(7*r - 2)/9
Let z(j) be the first derivative of j**4/84 - j**3/42 - 6*j + 5. Let k(u) be the first derivative of z(u). Factor k(g).
g*(g - 1)/7
Suppose 2*t - 10 = -2. Factor -2*s + 5*s - t*s + s**2.
s*(s - 1)
Let k(a) be the first derivative of -a**7/5460 - a**6/585 - a**5/195 + a**3 + 1. Let w(g) be the third derivative of k(g). Factor w(t).
-2*t*(t + 2)**2/13
Let t = -13 - -157/12. Let c(o) be the second derivative of 1/24*o**4 + 0 + t*o**3 + 0*o**2 + 4*o. Factor c(h).
h*(h + 1)/2
Let n(r) be the third derivative of -1/180*r**5 + 0*r + 0 - 2*r**2 + 0*r**3 - 1/144*r**4 - 1/720*r**6. Factor n(w).
-w*(w + 1)**2/6
Suppose 3*n - 7 = 2. Factor q**3 + 0*q**3 - 6*q**3 + 3*q + 2*q**n.
-3*q*(q - 1)*(q + 1)
Suppose -4*i + 5 = -9*i. Let s = i - -3. Factor 2/5*v**s + 2/5 - 4/5*v.
2*(v - 1)**2/5
Let p(h) = h**2 + 7*h + 2. Let i be p(-7). Suppose 2*k**2 + 0*k**i + 6 + 8*k - 6*k + 6*k = 0. Calculate k.
-3, -1
Let b(d) be the third derivative of 0 + 0*d - 1/120*d**6 + 0*d**3 + 1/420*d**7 + 2*d**2 + 0*d**4 + 1/120*d**5. Factor b(o).
o**2*(o - 1)**2/2
Factor -17 + 27 + 108*l - 118 - 36*l**2 + 4*l**3.
4*(l - 3)**3
Solve 4*d + 3*d**2 + 0*d - d**2 = 0 for d.
-2, 0
Let w = -1479 + 4438/3. Determine g so that 0 + 1/3*g**5 + 0*g**2 - w*g**4 + 0*g + 0*g**3 = 0.
0, 1
Let r(o) be the first derivative of -3*o**5/10 + 5*o**4/6 + 23*o**3/18 - o**2/2 - 20. Factor r(s).
-s*(s - 3)*(s + 1)*(9*s - 2)/6
Let b(v) be the first derivative of 1/10*v**5 + 0*v**3 + 1 + 0*v**2 - 2*v + 0*v**4. Let k(h) be the first derivative of b(h). Factor k(d).
2*d**3
Let n(t) be the third derivative of t**7/210 + t**6/20 + t**5/60 - t**4 + 8*t**3/3 + 42*t**2. Factor n(q).
(q - 1)**2*(q + 4)**2
Let h(m) be the third derivative of m**6/210 - m**5/21 + m**4/6 - 2*m**3/7 + 31*m**2 - m. Factor h(w).
4*(w - 3)*(w - 1)**2/7
Let u be ((-5)/(-5))/((-1)/(1 - 5)). Let z(l) be the third derivative of -1/90*l**5 + 0*l + 0 + 0*l**u + 4/9*l**3 + 2*l**2. Factor z(g).
-2*(g - 2)*(g + 2)/3
Let v(t) be the third derivative of t**7/945 + 2*t**6/135 + 11*t**5/135 + 2*t**4/9 + t**3/3 - t**2. Find a, given that v(a) = 0.
-3, -1
Let a(k) be the first derivative of -k**4/30 + k**3/15 + 2*k**2/5 + k - 6. Let q(b) be the first derivative of a(b). Factor q(t).
-2*(t - 2)*(t + 1)/5
Let x(j) be the third derivative of j**8/952 + 4*j**7/1785 - j**6/510 - 2*j**5/255 - j**4/204 + 15*j**2. Determine p, given that x(p) = 0.
-1, -1/3, 0, 1
Let h(t) be the first derivative of -t + 2*t**2 + 3/5*t**5 - t**4 - 3 - 2/3*t**3. Determine y, given that h(y) = 0.
-1, 1/3, 1
Let a(u) be the first derivative of -6*u - 1 - 9/2*u**2 - u**3. Determine i so that a(i) = 0.
-2, -1
Let f = 305 + -303. Find j such that -1/4*j**f + 1/4*j + 1/4 - 1/4*j**3 = 0.
-1, 1
Let t = -4/11 + 27/44. Find m, given that t*m - 1/4*m**2 + 0 = 0.
0, 1
Suppose s = 3*s - 2. Let l(b) be the first derivative of 0*b**2 - 2/15*b**3 + 0*b - s. Factor l(r).
-2*r**2/5
Let 968/5 + 16194/5*q**2 + 1424/5*q**3 + 32/5*q**4 + 7832/5*q = 0. What is q?
-22, -1/4
Suppose 0 = -8*w + 21 + 3. Let i(y) be the first derivative of 0*y**2 + 3 - 2/5*y**5 - 1/3*y**6 + 0*y + 1/2*y**4 + 2/3*y**w. Suppose i(m) = 0. Calculate m.
-1, 0, 1
Determine f so that -249/7*f**4 + 36/7*f - 87/7*f**2 - 9*f**5 + 12/7 - 297/7*f**3 = 0.
-2, -1, -2/7, 1/3
Let h(i) be the third derivative of -1/150*i**6 - 4*i**2 + 0*i + 0*i**4 + 0*i**3 + 0 - 1/525*i**7 - 1/150*i**5. Factor h(r).
-2*r**2*(r + 1)**2/5
Let y(a) be the first derivative of -2*a**3/3 + 3*a**2 + 8*a + 1. Let f(d) = 6*d**2 - 17*d - 23. Let q = -3 - -9. Let p(g) = q*f(g) + 17*y(g). Solve p(h) = 0.
-1, 1
Let z be (-6)/27 - 129/27. Let f be (z/15)/((-20)/48). Factor -8/5*s - f + s**3 + 7/5*s**2.
(s - 1)*(s + 2)*(5*s + 2)/5
Suppose -a = -14 + 12. Suppose -1 - a*r**3 - 2 - 3*r**3 - 9*r - 9*r**2 + 2*r**3 = 0. What is r?
-1
Let u(o) = 2*o**3 - 7*o**2 + 2*o + 10. Let y(a) = 2*a**3 - 7*a**2 + 2*a + 9. Let s(v) = 6*u(v) - 7*y(v). Find z such that s(z) = 0.
-1/2, 1, 3
Let g(b) be the first derivative of b**7/21 - b**6/20 - 7*b**5/30 + b**4/4 + 2*b**3/3 - b**2 + 1. Let x(o) be the second derivative of g(o). Factor x(q).
2*(q - 1)**2*(q + 1)*(5*q + 2)
Let o be 3 + 4 + 264/(-40). Factor y + 1/5*y**3 - o - 4/5*y**2.
(y - 2)*(y - 1)**2/5
Let m(j) be the third derivative of -2*j**7/1365 - j**6/780 + j**5/78 - j**4/78 + 24*j**2. What is a in m(a) = 0?
-2, 0, 1/2, 1
Let v be 13/5 - (-9)/(-15). Factor -1 - k**2 + 6*k + 5 + 3*k**v.
2*(k + 1)*(k + 2)
Let a = 423 - 1261/3. Factor 2/3*d + 2/3*d**5 - a*d**4 + 4*d**3 + 0 - 8/3*d**2.
2*d*(d - 1)**4/3
Let o(r) be the third derivative of r**8/504 + r**7/315 - r**6/180 - r**5/90 + 28*r**2. Solve o(y) = 0 for y.
-1, 0, 1
Let z(a) = -a**3 - 7*a**2 + 18*a. Let q be z(-9). Let g(i) be the third derivative of 0 + 0*i**3 + 1/24*i**4 + q*i + 3*i**2 - 1/60*i**5. Factor g(r).
-r*(r - 1)
Factor -52/5*w**4 + 4/5*w**5 - 44/5*w**2 + 0*w + 0 + 92/5*w**3.
4*w**2*(w - 11)*(w - 1)**2/5
Solve -2*w - 14*w**3 - 2 + 10*w**3 + 2*w**4 + 6*w = 0.
-1, 1
Let u be (-16)/((-8)/4) - 1. Let f(p) be the second derivative of -p + 1/21*p**u + 3/10*p**5 + 0 - 2/3*p**4 + 0*p**2 + 4/15*p**6 - 4/3*p**3. Factor f(z).
2*z*(z - 1)*(z + 1)*(z + 2)**2
Factor 1/5 + 3/10*s - 1/10*s**2 - 3/10*s**3 - 1/10*s**4.
-(s - 1)*(s + 1)**2*(s + 2)/10
Let i(z) be the third derivative of z**6/540 + z**5/90 + z**4/36 + 5*z**3/6 + 3*z**2. Let y(u) be the first derivative of i(u). Suppose y(o) = 0. What is o?
-1
Let u(l) be the second derivative of -1/28*l**7 - 2*l + 0*l**3 + 0*l**2 + 0 - 1/12*l**4 + 3/40*l**5 + 1/30*l**6. Determine f, given that u(f) = 0.
-1, 0, 2/3, 1
Let c(p) be the first derivative of -p**4/16 - p**3/12 + p**2/8 + p/4 - 8. Solve c(v) = 0 for v.
-1, 1
What is n in -6/7*n**2 + 9/7*n**3 + 0 - 3/7*n**4 + 0*n = 0?
0, 1, 2
Let b(i) = -i**2 + 6*i + 9. Let g(l) = 6*l**2 - 2*l - 1. Let q be g(-1). Let m be b(q). Factor -2/3*p**3 - 1/3*p**4 + 1/3 + 2/3*p + 0*p**m.
-(p - 1)*(p + 1)**3/3
Let l = 9 + -5. Let s(b) = -4*b**2 - 4*b + 2. Let f(a) = 5*a**2 + 5*a - 1. Let v(u) = l*f(u) + 3*s(u). Find m such that v(m) = 0.
-1/2
Let i(m) be the third derivative of -m**6/210 - 2*m**5/15 + m**4/42 + 4*m**3/3 - 2*m**2 + 8*m. Factor i(g).
-4*(g - 1)*(g + 1)*(g + 14)/7
Let z be 3/((-12)/(-32)) - 4. Let j be z - (104/18 + -2). Factor j*o**2 - 2/9*o**3 - 2/9 + 2/9*o.
-2*(o - 1)**2*(o + 1)/9
Let b(g) be the first derivative of -g**3 - 3*g**2 + 48. Factor b(d).
-3*d*(d + 2)
Let r(a) = -57*a**2 - 111*a 