 6*z - 115 + z**5.
(z - 1)**3*(z + 1)*(z + 3)
Suppose -45*h = -47*h + 4. Let c(w) be the second derivative of 1/4*w**3 - 1/12*w**4 - 3*w + 0 - 1/4*w**h. Factor c(o).
-(o - 1)*(2*o - 1)/2
Let w(g) = -333*g**2 - 94*g - 8. Let p(o) = -332*o**2 - 92*o - 8. Let m(j) = 5*p(j) - 6*w(j). Factor m(t).
2*(13*t + 2)**2
Suppose 2*c - 8 = -2. Let i(s) = -s**3 - 3*s**2 + 3*s - 2. Let a be i(-4). Factor k + 0 + 2*k**a + k**c + 0.
k*(k + 1)**2
Let y(n) be the first derivative of -n**5/42 + n**4/7 - 4*n**3/21 - 3*n**2/2 - 1. Let b(h) be the second derivative of y(h). Factor b(q).
-2*(q - 2)*(5*q - 2)/7
Let c(g) be the third derivative of g**7/1050 + g**6/150 + g**5/50 + g**4/30 + g**3/30 - 7*g**2. Factor c(i).
(i + 1)**4/5
Let c be (18 - (-3 - -7))/1. Suppose -l = 4*j - 6 - 5, -c = -4*j - 2*l. Factor 4/3 - 14/3*h**j + 10/3*h.
-2*(h - 1)*(7*h + 2)/3
Let w(j) be the second derivative of 2/5*j**5 + 4/3*j**3 + 1/15*j**6 + j**4 + 0 - 2*j + j**2. Factor w(m).
2*(m + 1)**4
Let i be (-7 + 3)*(-3 + (-20)/(-8)). Let x(f) be the first derivative of -1/25*f**5 - 1 + 1/5*f**i + 1/5*f + 0*f**3 - 1/10*f**4. Factor x(g).
-(g - 1)*(g + 1)**3/5
What is u in -6 - u - u + 0*u**2 - 2*u**2 + 10*u = 0?
1, 3
Suppose -4*p + 1 + 7 = 0. Factor -3*u**4 - 4*u**4 - 3 - 18*u**2 + 30*u**3 - 2*u**4 + 18*u - 18*u**p.
-3*(u - 1)**3*(3*u - 1)
Find w, given that 0 + 6/11*w**3 - 6/11*w - 2/11*w**4 + 2/11*w**2 = 0.
-1, 0, 1, 3
Suppose -62/15*c**3 - 8/15*c**4 - 46/15*c + 4/3 - 8*c**2 = 0. What is c?
-5, -2, -1, 1/4
Suppose -3 = -t + 3*m + 3, 4*t - m - 13 = 0. Determine x so that 1/3*x**2 + 0 - 1/6*x**t + 0*x = 0.
0, 2
Let v(c) be the first derivative of -4*c**5/35 + 5*c**4/7 - 8*c**3/7 - 8*c**2/7 + 32*c/7 + 1. Factor v(z).
-4*(z - 2)**3*(z + 1)/7
Suppose 0*k = -4*k + 44. Suppose 15*w - 12 = k*w. Factor 1/2*r**w + 0 - 1/4*r - 1/4*r**2.
r*(r - 1)*(2*r + 1)/4
Let d(m) be the first derivative of -2*m**5/5 + m**4/2 + 2*m**3/3 - m**2 - 6. Factor d(g).
-2*g*(g - 1)**2*(g + 1)
Let x be (-1)/(3/(-30)) - -1. Let c(i) = -5*i**3 + 3*i - 6. Let t(a) = 14*a**3 - 9*a + 17. Let n(j) = x*c(j) + 4*t(j). Suppose n(k) = 0. Calculate k.
-2, 1
Let l(y) be the second derivative of -y**8/672 + y**7/105 - y**6/40 + y**5/30 + y**4/12 + 2*y. Let p(q) be the third derivative of l(q). Factor p(m).
-2*(m - 1)**2*(5*m - 2)
Let s(u) be the first derivative of -2 - 2/5*u**5 + 0*u + 1/3*u**6 + 0*u**2 - 1/2*u**4 + 2/3*u**3. Let s(k) = 0. What is k?
-1, 0, 1
Let l(o) = -o**3 - 6*o**2 + 5*o - 8. Let v be l(-7). Let u = -4 + v. Factor -2/5*j**u + 4/5 + 2/5*j.
-2*(j - 2)*(j + 1)/5
Let t(i) = -i + 2. Let x be t(0). Let a(n) be the second derivative of 0 + 1/10*n**5 + 1/30*n**6 + 2*n + 0*n**3 + 0*n**4 + 0*n**x. Factor a(q).
q**3*(q + 2)
Let l = 38/15 - 11/5. Let a be (1/5)/(21/35). Factor a*j - l*j**2 + 0.
-j*(j - 1)/3
Suppose -3*t = -t + 10. Let k(r) = 7*r**3 + 4*r**2 + 7*r - 5. Let a(q) = 3*q**3 + 2*q**2 + 3*q - 2. Let b(i) = t*a(i) + 2*k(i). Factor b(y).
-y*(y + 1)**2
Let n(u) be the third derivative of u**9/128520 + u**8/19040 + u**7/7140 + u**6/6120 + u**4/4 + 4*u**2. Let l(y) be the second derivative of n(y). Factor l(z).
2*z*(z + 1)**3/17
Let m = 205 + -65. Let t be 125/m + 1/(-7). Find y such that -1/4*y**4 + 11/4*y**3 + 1 - 2*y - t*y**2 - 3/4*y**5 = 0.
-2, -1, 2/3, 1
Let g(r) be the first derivative of 9/2*r**2 + 3 - 9/4*r**4 - r**3 + 6*r - 3/5*r**5. Determine v so that g(v) = 0.
-2, -1, 1
Suppose 2 = 2*q - q. Determine b, given that 4*b + b**q + 9*b**2 - 2*b**2 + 4*b**3 = 0.
-1, 0
Let z(u) be the third derivative of 0 - 1/10*u**5 + 2*u**2 + 1/8*u**4 + 1/40*u**6 + 0*u + 0*u**3. Factor z(x).
3*x*(x - 1)**2
Factor 0 - 5/3*z**2 - 2/3*z**3 + 2*z + 1/3*z**4.
z*(z - 3)*(z - 1)*(z + 2)/3
Suppose 3*d + 4 = 2*m, d - 3*m + 4 = -2. Let i(t) be the second derivative of d - 1/105*t**6 + 0*t**2 - 2/21*t**4 + t + 0*t**3 + 2/35*t**5. Factor i(o).
-2*o**2*(o - 2)**2/7
Let k be 1902/30*2/(-8). Let t = k - -83/5. Factor 0 + t*h**2 + 3/4*h.
3*h*(h + 1)/4
Let u(p) be the second derivative of -p**9/9720 - p**8/1890 - p**7/2835 - p**4/12 + 3*p. Let h(b) be the third derivative of u(b). Solve h(t) = 0 for t.
-2, -2/7, 0
Let m(q) be the third derivative of -q**8/13440 - q**7/10080 + q**5/20 - q**2. Let k(d) be the third derivative of m(d). Suppose k(y) = 0. Calculate y.
-1/3, 0
Let o(u) be the second derivative of -2*u**6/75 - 2*u**5/25 - u**4/12 - u**3/30 - 9*u. Factor o(b).
-b*(b + 1)*(2*b + 1)**2/5
Let u(j) = 1. Suppose 4 = 2*y - y. Suppose -d = 4*h - 3*d - 12, 5*h + y*d = 15. Let z(n) = 3*n**3 + 3*n**2 - 3*n. Let r(f) = h*u(f) - z(f). Factor r(g).
-3*(g - 1)*(g + 1)**2
Let s be 7/(-1) + 3 - -6. Let l(d) be the second derivative of 0 + 0*d**3 - 2*d - 1/18*d**4 + 0*d**s. Determine a so that l(a) = 0.
0
Let k(y) = -3*y**3 - 5*y**2 + 2*y - 2. Let a(f) = 10*f**3 + 16*f**2 - 7*f + 7. Let g(t) = 6*a(t) + 21*k(t). Factor g(r).
-3*r**2*(r + 3)
Let u(b) be the first derivative of -7*b**4/4 + 4*b**3/3 + 3*b**2/2 - 9. Let a(h) = 6*h**3 - 4*h**2 - 2*h. Let o(d) = -6*a(d) - 5*u(d). What is s in o(s) = 0?
0, 1, 3
Factor 4 - 6*l**3 + 6*l - 3*l**2 + 6*l**2 - 7*l**2.
-2*(l - 1)*(l + 1)*(3*l + 2)
Let z(v) be the first derivative of -2*v**2 - 4 + 1/2*v**4 + 0*v + 2/3*v**3. Find l such that z(l) = 0.
-2, 0, 1
Let j(u) = 2*u + 16. Let c be j(-7). Let h(n) be the second derivative of n + 1/12*n**4 + 0*n**c + 0*n**3 + 0. Factor h(g).
g**2
Let q be (-1)/(-14)*(0 + 4). Let h = 31/182 + 3/26. Factor q + h*p**2 - 4/7*p.
2*(p - 1)**2/7
Let v = 30 - 148/5. Factor 4/5*t - 2/5*t**2 - v.
-2*(t - 1)**2/5
Suppose 0 = t + 3*t - 8. Let n be -1*t*9/(-2). Factor 4*g + n*g**2 + 0*g**2 - g - 12*g**3.
-3*g*(g - 1)*(4*g + 1)
Factor 0 - 1/6*b**3 - 5/6*b**2 + b.
-b*(b - 1)*(b + 6)/6
Suppose 19*x**3 + 108*x - 21*x**2 + 21*x**2 + 81 - 7*x**3 + 54*x**2 + x**4 = 0. What is x?
-3
Let d(g) be the first derivative of -2*g**3/33 - 6. Factor d(l).
-2*l**2/11
Let c(h) be the second derivative of 9*h**5/40 + 5*h**4/8 + 7*h**3/12 + h**2/4 + 12*h. Factor c(p).
(p + 1)*(3*p + 1)**2/2
Solve 66/17*j**2 + 32/17 + 2/17*j**4 - 80/17*j - 20/17*j**3 = 0.
1, 4
Let -8*u - 2 - 129*u**2 + 125*u**2 - 2 = 0. What is u?
-1
Suppose -12*t**2 + 26*t**2 - 4 - 10*t**2 = 0. What is t?
-1, 1
Let f(l) = -2*l + 11. Let x(y) = y - 10. Let d(s) = 3*f(s) + 4*x(s). Let u be d(-8). Factor -2 - 3*m**3 - u*m**2 + 2 - 3 - 9*m.
-3*(m + 1)**3
Let s(a) = a**3 + a**2 - a. Let o = -4 - 0. Let i(x) = 6*x**3 + 6*x**2 - 4*x. Let w(h) = o*s(h) + i(h). Factor w(r).
2*r**2*(r + 1)
Suppose 5*s + 4*r = 2*s + 29, 2*r - 22 = -4*s. Suppose -2*p + 1 = -s. Solve 5*w + 117*w**3 - 6 - 114*w**p + 20*w + 18*w - 42*w**4 + 2*w = 0 for w.
2/7, 1/2, 1
Factor 4/3*v**4 + 2/3*v**5 + 0*v - 16/3*v**2 - 8/3*v**3 + 0.
2*v**2*(v - 2)*(v + 2)**2/3
Solve -2/17 + 2/17*r**2 - 2/17*r**3 + 2/17*r = 0.
-1, 1
Let v(g) be the first derivative of 0*g - 2 - 1/3*g**2 - 7/15*g**5 + 5/18*g**6 - 1/4*g**4 + 7/9*g**3. Find h, given that v(h) = 0.
-1, 0, 2/5, 1
Let x(t) = 2*t**2 - 2*t - 4. Let w = 16 - 7. Let r(p) = 8*p**2 - 7*p - 15. Let s(c) = w*x(c) - 2*r(c). Solve s(u) = 0 for u.
-1, 3
Let q(n) be the first derivative of -n**4/32 + 5*n**3/24 - 3*n**2/16 - 9*n/8 + 13. Factor q(o).
-(o - 3)**2*(o + 1)/8
Let a be 1/2*1*0 - -2. Let x be (-10)/(-12) + 1/(-2). Solve -x*j**a - 1/3*j + 0 = 0 for j.
-1, 0
Let f(d) be the first derivative of 3*d**4/32 - d**3/4 - 21*d**2/16 - 3*d/2 - 22. Factor f(g).
3*(g - 4)*(g + 1)**2/8
Let f(z) = -z**2 - 6*z + 9. Let m be -9 - 3/(3/(-2)). Let t be f(m). Factor -4/5*q**4 + 0*q**3 + 0 - 2/5*q**5 + 4/5*q**t + 2/5*q.
-2*q*(q - 1)*(q + 1)**3/5
Let v(d) = -3*d. Let n be v(-1). Suppose x = n*x. Solve -2/7*q**4 - 4/7*q**3 + 0 + x*q - 2/7*q**2 = 0.
-1, 0
Let f(s) = s**3 + 2*s**2 - 3*s + 3. Suppose -4*b + 12 = -b. Let m(c) = c**3 + 2*c**2 - 2*c + 2. Let k(h) = b*f(h) - 6*m(h). Factor k(j).
-2*j**2*(j + 2)
Suppose 0 = 3*v + v - 20. Determine b, given that 10*b**2 + b**5 + 5*b**3 + 1 + 5*b**3 + 5*b**4 + 5*b + 2*b**5 - 2*b**v = 0.
-1
Let p(o) = o**2 - o - 1. Suppose 0 = 8*m + 23 + 9. Let h(z) = 4*z + 2 + 0 - 6*z**2 + 4*z. Let s(g) = m*p(g) - h(g). Determine x so that s(x) = 0.
1
Factor 1/7*j + 0*j**2 + 0 - 1/7*j**3.
-j*(j - 1)*(j + 1)/7
Let t = -24 + 42. Let b(m) be the first derivative of -4 - 6*m**2 - 2/3*m**3 - t*m. Factor b(i).
-2*(i + 3)**2
Let l(g) be the third 