 r(t) be the first derivative of 3 + 2*t - 1/20*t**4 - 2/5*t**2 + 4/15*t**3. Let h(n) be the first derivative of r(n). Factor h(o).
-(o - 2)*(3*o - 2)/5
Let o = 155 + -150. Let z(r) be the second derivative of 1/9*r**3 + 4*r + 0*r**2 - 1/12*r**4 + 1/60*r**o + 0. Factor z(d).
d*(d - 2)*(d - 1)/3
Let r(b) = 5*b - 31. Let q be r(7). Let x(d) be the first derivative of -4/3*d**3 + 1/3*d**6 + d**q - 2*d - 3*d**2 + 1 + 6/5*d**5. Factor x(k).
2*(k - 1)*(k + 1)**4
Let a(o) be the third derivative of o**5/60 + o**4/2 + 6*o**3 - 7*o**2. Factor a(r).
(r + 6)**2
Let v(h) be the second derivative of -h**8/10080 + h**7/1260 - h**6/540 + 5*h**4/12 - 5*h. Let d(a) be the third derivative of v(a). Factor d(n).
-2*n*(n - 2)*(n - 1)/3
Let s = -32057/630 + 458/9. Let i(l) be the third derivative of s*l**5 + 0 + 0*l + 0*l**4 + 0*l**3 - l**2. Factor i(z).
2*z**2/7
Let u(t) = 8*t**5 - 24*t**4 + 44*t**3 - 12*t**2 - 44*t + 32. Let z(b) = b**5 - b**2 + b. Let p(y) = u(y) - 4*z(y). Factor p(h).
4*(h - 2)**3*(h - 1)*(h + 1)
Let n(t) = 10*t**3 - 10*t**2 - 24*t + 10. Let x = -36 + 22. Let z(k) = -2*k**3 + 2*k**2 + 5*k - 2. Let d(o) = x*z(o) - 3*n(o). Determine b, given that d(b) = 0.
-1, 1
Let d(n) be the first derivative of -9 + 0*n - 8/7*n**2 + 17/7*n**4 - 8/3*n**3 - 18/35*n**5. Determine m so that d(m) = 0.
-2/9, 0, 2
Factor -1/3*t**3 - 1/3*t**4 - t + 5/3*t**2 + 0.
-t*(t - 1)**2*(t + 3)/3
Let i = -12 - -15. Determine w, given that -2/3*w**5 + 0 + 0*w**i + 2/3*w**4 + 0*w**2 + 0*w = 0.
0, 1
Let n = 10 - 6. Suppose 0 = 5*o - 16 - 9. Factor -a**o + a**2 - a**n - 2*a**5 + 4*a**5 - a**3.
a**2*(a - 1)**2*(a + 1)
Let i(f) be the first derivative of -1/6*f**2 - 1/9*f**3 + 3 + 2/3*f. Factor i(y).
-(y - 1)*(y + 2)/3
Let x = 1 - 1. Let l(w) be the first derivative of x*w - 2/27*w**3 + 2/9*w**2 - 1/18*w**4 - 2. Factor l(n).
-2*n*(n - 1)*(n + 2)/9
Suppose 0 = f - 4*t + 128, -9*f - 712 = -4*f + 4*t. Let b be ((-16)/f)/(4/10). Factor 2/7*y**3 + 0*y + 4/7*y**4 + 0 + b*y**5 + 0*y**2.
2*y**3*(y + 1)**2/7
Let c(t) be the third derivative of t**4/24 - 2*t**3/3 + 4*t**2. Let v be c(6). Factor 1/4*n**4 + 1/2 - 1/4*n + 1/4*n**3 - 3/4*n**v.
(n - 1)**2*(n + 1)*(n + 2)/4
Let s = -42/29 + 6290/4263. Let r(i) be the second derivative of 0 - s*i**7 + 1/42*i**4 + 0*i**2 - 3/35*i**5 - 3*i + 3/35*i**6 + 0*i**3. Factor r(y).
-2*y**2*(y - 1)**2*(4*y - 1)/7
Suppose -q = 5 - 8. Factor 2/7 - 2/7*n - 6/7*n**q - 10/7*n**2.
-2*(n + 1)**2*(3*n - 1)/7
Let h = 15 - 13. Let s(o) be the second derivative of 0 + 1/15*o**6 - 1/3*o**3 + 0*o**2 + 1/10*o**5 - h*o - 1/6*o**4. Find z, given that s(z) = 0.
-1, 0, 1
Let n(z) be the third derivative of 0*z + 0*z**5 + 0*z**4 + 0*z**3 - 2/315*z**7 + 4*z**2 + 0 - 1/180*z**6 - 1/504*z**8. Solve n(x) = 0.
-1, 0
Let h(o) = o**4 + o**3 + o**2 - 1. Let a(y) = y**3 - 4*y**3 - 72 + 78 + y - 7*y**4 - 9*y**2. Let c(m) = a(m) + 6*h(m). Factor c(j).
-j*(j - 1)**3
Let a(t) be the second derivative of 0*t**2 - 1/18*t**3 - 3*t + 0*t**4 + 0 + 1/60*t**5. Solve a(s) = 0.
-1, 0, 1
Let n(b) be the first derivative of -b**3/6 + 3*b**2/4 - b - 8. Factor n(j).
-(j - 2)*(j - 1)/2
Let l(z) = -9*z**5 + 4*z**4 + 20*z**3 - 4*z**2 - 32*z - 11. Let x(h) = -5*h**5 + 2*h**4 + 10*h**3 - 2*h**2 - 16*h - 5. Let p(v) = 3*l(v) - 5*x(v). Factor p(s).
-2*(s - 2)**2*(s + 1)**3
Suppose -i + 4*i - 12 = -2*s, 5*i - 19 = -3*s. Determine t, given that 3*t**2 + 0*t**i - 2*t**2 + 0*t**2 + 2*t = 0.
-2, 0
Let q(h) be the third derivative of 1/120*h**4 - 1/150*h**5 + 0*h + 0 + h**2 - 1/600*h**6 + 1/15*h**3. Determine y so that q(y) = 0.
-2, -1, 1
Let s(l) = 5*l**2 - 25*l - 90. Let g(k) = -2*k**2 + 8*k + 30. Let f(w) = 10*g(w) + 3*s(w). Factor f(q).
-5*(q - 3)*(q + 2)
Let x(k) = -k - 8. Let d = -27 + 19. Let h be x(d). Factor -3*t**2 + 2 + h*t**3 + 5 - t**3 - 3.
-(t - 1)*(t + 2)**2
Let q be 6/3*15/6. Let b(s) be the third derivative of -1/300*s**6 - 1/150*s**q + 0 - s**2 + 0*s**4 + 0*s + 0*s**3. Factor b(u).
-2*u**2*(u + 1)/5
Suppose -5*q + t - 4 = -1, 0 = 4*q + 2*t - 6. Determine k so that -2/7*k**4 + 0 + 6/7*k**2 + 4/7*k + q*k**3 = 0.
-1, 0, 2
Let c(j) = 6*j**2 + 1. Let u be c(1). Let w be (2 - 6)/((-2)/u). Solve -4*k - 24*k**2 - 2*k - 1 + 5 - w*k**3 = 0 for k.
-1, 2/7
Suppose 3*y = 4*w + 3, -6 = 3*w + 15*y - 18*y. Let i(t) be the first derivative of 1/2*t**4 + 1/3*t**3 + 0*t + 0*t**2 - w + 1/5*t**5. What is p in i(p) = 0?
-1, 0
Let y = 54 + -50. Determine i, given that 288/7*i + 32/7 + 14*i**5 + 880/7*i**2 + 1072/7*i**3 + 78*i**y = 0.
-2, -1, -2/7
Let i be 5 + (-1 + 3)/2. Let j be ((-9)/i)/1 - -3. Solve -2/3 + 1/3*v**3 - j*v**2 + 2*v = 0 for v.
1/2, 2
Let o(r) be the first derivative of 5*r**4/4 - 10*r**3/3 + 5. Factor o(z).
5*z**2*(z - 2)
Let t(v) be the first derivative of -v**4/32 + 3*v**2/16 + v/4 + 6. Suppose t(n) = 0. Calculate n.
-1, 2
Factor 15/2*g**5 + 57*g**3 + 33*g**4 + 39/2*g + 3 + 48*g**2.
3*(g + 1)**4*(5*g + 2)/2
Let w(m) be the first derivative of 5*m**4/26 + 4*m**3/39 - 5*m**2/13 - 4*m/13 - 3. Solve w(j) = 0 for j.
-1, -2/5, 1
Let b(x) be the first derivative of x**5/10 - x**4/2 + x**3 - x**2 + x - 3. Let k(f) be the first derivative of b(f). Factor k(m).
2*(m - 1)**3
Let a(y) be the second derivative of -y**5 - 15*y**4/4 + 25*y**3/3 + 15*y**2/2 + y. Find i, given that a(i) = 0.
-3, -1/4, 1
Let h be (-4)/30*3 + (-22)/(-30). Find o, given that -1/3*o - 1/3 + 2/3*o**3 - h*o**5 + 2/3*o**2 - 1/3*o**4 = 0.
-1, 1
Let s(v) be the first derivative of -v**5/150 - v**4/60 + 2*v**2 - 7. Let z(k) be the second derivative of s(k). What is b in z(b) = 0?
-1, 0
Let p(u) be the first derivative of 1/6*u**3 - 5 + 0*u**2 + 1/10*u**5 + 0*u + 1/4*u**4. Factor p(t).
t**2*(t + 1)**2/2
Let f(b) be the first derivative of b**6/3 - 2*b**5/5 - b**4/2 + 2*b**3/3 + 7. Find q such that f(q) = 0.
-1, 0, 1
Let z be 45/21 - (-5 + 6/1). Factor 12/7*o**3 - 12/7*o + 8/7*o**2 - z.
4*(o - 1)*(o + 1)*(3*o + 2)/7
Factor 0*p + 1/4 - 1/4*p**2.
-(p - 1)*(p + 1)/4
Suppose -12*w + 9 = -9*w. Let k be 8/27*3/4. Let -2/9 + 4/9*o - 4/9*o**w + k*o**4 + 0*o**2 = 0. Calculate o.
-1, 1
Let k be 60/63 - (-2)/(-7). Let -16*o**2 + 6*o + 32/3*o**3 - k = 0. Calculate o.
1/4, 1
Let l(f) be the third derivative of -f**5/120 - f**4/72 + f**3/36 - 4*f**2. Suppose l(t) = 0. What is t?
-1, 1/3
Let m(n) be the first derivative of n**4/10 - 8*n**3/15 + n**2 - 4*n/5 - 3. Suppose m(r) = 0. What is r?
1, 2
Determine b so that 6*b - 9*b**2 - 15*b**4 - 20*b**4 + 38*b**4 = 0.
-2, 0, 1
Let b = 24938/39425 + -2/2075. Let l = b + -22/95. Factor 2/5 + 6/5*c**2 + 6/5*c + l*c**3.
2*(c + 1)**3/5
Let 0 - 2*l**3 - 5/3*l - 7/2*l**2 - 1/6*l**4 = 0. Calculate l.
-10, -1, 0
Let x(v) be the third derivative of v**9/45360 - v**7/7560 - v**4/8 + 3*v**2. Let b(r) be the second derivative of x(r). Determine m so that b(m) = 0.
-1, 0, 1
Suppose -3*m = -4*m - 8*m. Suppose 3/2*z + 3*z**4 + m - 3/2*z**5 - 3*z**2 + 0*z**3 = 0. What is z?
-1, 0, 1
Let a(x) be the second derivative of 2*x**6/15 - x**5/5 - 2*x**4/3 + 3*x. Factor a(r).
4*r**2*(r - 2)*(r + 1)
Suppose 5*x - 17 + 2 = 0. Let i(n) be the second derivative of 1/22*n**4 + x*n + 1/110*n**5 + 2/33*n**3 + 0 + 0*n**2. Find j such that i(j) = 0.
-2, -1, 0
Let f(z) = z. Let s(x) = x**2 + 9*x + 2. Let b(a) = a + 12. Suppose 7*o - 2*o = -30. Let g be b(o). Let h(r) = g*f(r) - s(r). Solve h(k) = 0.
-2, -1
Let r(u) = 5*u**2 - 20*u + 18. Let f(d) = -1. Let x(w) = 2*f(w) - r(w). Solve x(s) = 0.
2
Let v(s) = 8*s**3 - 8*s**2 + 6*s + 6. Suppose -m + 13 = 7. Let q(y) = -7*y**3 + 7*y**2 - 5*y - 5. Let b(w) = m*q(w) + 5*v(w). Factor b(k).
-2*k**2*(k - 1)
Let z(r) = 2*r + 16. Let i be z(-7). Let t be (-54)/(-45)*1/i. Factor 3/5*w**2 + 1/5 + t*w + 1/5*w**3.
(w + 1)**3/5
Let l(w) = -7*w**5 - 7*w**4 - w**3 + 9*w**2 - 7*w + 3. Let o(b) = -4*b**5 - 4*b**4 - b**3 + 5*b**2 - 4*b + 2. Let y(h) = -6*l(h) + 10*o(h). Solve y(f) = 0.
-1, 1
Let j(m) = 2*m**2 - 3*m. Let x be j(4). Let n be 5/x + (-2)/(-8). Find u, given that -1/4 - 1/4*u**2 - n*u = 0.
-1
Let k(s) be the second derivative of -s**7/14 + 3*s**5/20 + 7*s. Factor k(i).
-3*i**3*(i - 1)*(i + 1)
Let i be 17/26 - ((-32)/(-52))/4. Factor 0*y**3 + 0 - 1/2*y**5 + 0*y + i*y**4 + 0*y**2.
-y**4*(y - 1)/2
Let v(i) = -3*i**3 + 2*i + 1. Let t be v(-1). Let p be (-2 - -2) + -2 + t. Find l, given that -2*l**2 + 4*l**2 - l + 