t -2*p**3 - 3 + p + 3 + p**4 + z*p**3 + p**5 - 2*p**2 + 1 = 0.
-1, 1
Factor 1/3*p + 1/3*p**3 - 2/3*p**2 + 0.
p*(p - 1)**2/3
Suppose -4*k = -3*y + 29, 2 = -k + y - 2*y. Let f(g) = -3*g**2 + 8*g - 5. Let z(x) = -3*x**2 + 9*x - 6. Let h(r) = k*z(r) + 6*f(r). Factor h(t).
-3*t*(t - 1)
Let v(z) be the second derivative of z**9/10080 - 3*z**8/4480 + z**7/560 - z**6/480 + 7*z**4/12 + z. Let u(c) be the third derivative of v(c). Factor u(h).
3*h*(h - 1)**3/2
Let t(k) be the first derivative of -1 - 2/55*k**5 + 0*k + 2/11*k**4 + 0*k**2 - 8/33*k**3. Factor t(u).
-2*u**2*(u - 2)**2/11
Suppose -3*b = -2*b. Let t(v) be the second derivative of -1/54*v**4 - v + 2/9*v**2 - 1/27*v**3 + b. Let t(u) = 0. Calculate u.
-2, 1
Let m = 4 - 4. Suppose -d + 2*d = m. Find r such that 1 + d*r**2 + 4*r + 1 - 2*r**2 + 4*r**2 = 0.
-1
Let y(t) be the third derivative of t**5/210 + t**4/14 + 3*t**3/7 + 15*t**2. Let y(f) = 0. Calculate f.
-3
Let j = 35 - 23. Let n be ((-3)/(-2))/(9/j). Let 0*z + n*z**3 - 2*z + 0*z = 0. Calculate z.
-1, 0, 1
Suppose 4*r - 29 + 9 = 0. Let j(v) be the third derivative of 0 + v**2 + 1/420*v**6 + 0*v**3 + 0*v**4 + 0*v + 1/210*v**r. Suppose j(w) = 0. What is w?
-1, 0
Let c(u) be the first derivative of 2/55*u**5 + 2/11*u**2 + 4 + 0*u + 10/33*u**3 + 2/11*u**4. Suppose c(l) = 0. What is l?
-2, -1, 0
Suppose 5*x - 12 = 3. Factor s**3 - 14*s**5 - 10*s**4 - 7*s**x - 14*s**4 + 4*s**2.
-2*s**2*(s + 1)**2*(7*s - 2)
Let z(y) = y**4 - 2*y**3 - 5*y**2 - 3*y - 3. Let v(d) = -d**4 + d**3 + 4*d**2 + 2*d + 2. Let u be 4 + -2 + -1 + 2. Let l(w) = u*v(w) + 2*z(w). Factor l(h).
-h**2*(h - 1)*(h + 2)
Let j(m) be the third derivative of -m**6/24 + 5*m**4/24 - 2*m**2. Factor j(k).
-5*k*(k - 1)*(k + 1)
Let t(y) be the first derivative of -y**4/38 - 8*y**3/57 - 5*y**2/19 - 4*y/19 - 1. Factor t(c).
-2*(c + 1)**2*(c + 2)/19
Let p = -1/124 + 127/372. Suppose 0*l + 15 = 5*l. Suppose -p - 1/3*b + 1/3*b**2 + 1/3*b**l = 0. Calculate b.
-1, 1
Let f(z) = 6*z**3 + 14*z**2 - 4*z - 4. Let x(a) = a**2 + a - 1. Let b(k) = -f(k) + 12*x(k). Determine h, given that b(h) = 0.
-2, 2/3, 1
Factor -36/7*l**2 - 24/7*l - 4/7.
-4*(3*l + 1)**2/7
Let g(k) be the second derivative of -4*k**2 + 0 - 1/6*k**4 + k - 4/3*k**3. Solve g(l) = 0.
-2
Let i = -24 - -17. Let r(d) = -3*d**3 - d + 4. Let l(q) = 4*q**3 + 2*q - 6. Let g(z) = i*r(z) - 5*l(z). Suppose g(t) = 0. What is t?
-2, 1
Let a(i) be the first derivative of -i**4/32 + 3*i**2/16 + i/4 - 7. Solve a(y) = 0 for y.
-1, 2
Let x be -5 - 1 - 78/(-13). Let -2/9*t**2 + x + 2/9*t = 0. What is t?
0, 1
Let i(w) = -48*w**3 - 20*w**2 - 12*w + 12. Let r(p) = 19*p**3 + 8*p**2 + 5*p - 5. Let u(n) = -5*i(n) - 12*r(n). Factor u(a).
4*a**2*(3*a + 1)
Let k = -556 - -556. Determine b so that 0 + 2/3*b**2 + k*b + 0*b**3 - 2/3*b**4 = 0.
-1, 0, 1
Let l(s) = -8*s**4 - 4*s**3 - 4*s**2 - 4*s. Let j(w) = -9*w**4 - 3*w**3 - 4*w**2 - 5*w. Let r(i) = -4*j(i) + 5*l(i). Factor r(p).
-4*p**2*(p + 1)**2
Suppose q - 2*o + 7 = 1, -1 = q - o. Find s, given that -4 + q*s + 7*s**2 - 9*s**2 + 2*s = 0.
1, 2
Let f(g) be the first derivative of -g**6/24 + g**5/20 - 10. Solve f(m) = 0.
0, 1
Let r(t) be the third derivative of -t**7/350 - t**6/600 + t**5/25 + t**4/30 + 32*t**2. Factor r(f).
-f*(f - 2)*(f + 2)*(3*f + 1)/5
Let z be 8 + (-1)/(-1 + 0). Find b, given that -2*b**2 - z*b**3 - b**5 - 2*b**5 - b**2 - 9*b**4 = 0.
-1, 0
Let h(a) be the third derivative of 0 - 29/120*a**6 - 13/105*a**7 + 0*a + 1/6*a**3 - 5*a**2 - 11/60*a**5 + 1/24*a**4 - 1/42*a**8. Solve h(k) = 0 for k.
-1, -1/2, 1/4
Let v be ((-4)/5)/(14/(-35)). Factor -2*x + 3*x - x**v - 4 + 0*x**2 + 3*x.
-(x - 2)**2
Let r(y) = -2*y**5 - 5*y**4 + 4*y**3 + 2*y + 2. Let n(a) = a**3 + 4 + 0*a**3 - a**4 - 2 + a - 1. Let m(q) = -4*n(q) + 2*r(q). Factor m(o).
-2*o**3*(o + 2)*(2*o - 1)
Let o(r) be the first derivative of -r**5/150 + r**3/15 + 2*r**2 - 2. Let a(s) be the second derivative of o(s). Let a(y) = 0. What is y?
-1, 1
Let o be 3/(351/6)*3. Suppose 2/13*g**2 + 0 - 2/13*g**3 + o*g - 2/13*g**4 = 0. Calculate g.
-1, 0, 1
Let z(n) be the first derivative of n**6/15 - 2*n**5/25 - n**4/10 + 2*n**3/15 + 23. Factor z(h).
2*h**2*(h - 1)**2*(h + 1)/5
Let a be 4/(-90)*2/(-6)*30. Determine z, given that 0*z**3 - 2/3*z**2 + 2/9*z**4 - a*z + 0 = 0.
-1, 0, 2
Let h = -3/133 + 181/2128. Let j(b) be the second derivative of -h*b**5 + 1/4*b**2 + 1/4*b**4 - b - 3/8*b**3 + 0. Factor j(m).
-(m - 1)**2*(5*m - 2)/4
Let m(q) be the first derivative of 2/3*q**2 - q + 6 - 1/9*q**3. Factor m(w).
-(w - 3)*(w - 1)/3
Let a(d) be the second derivative of 25*d**4/12 - 20*d**3/3 - 10*d**2 + 7*d. Determine j so that a(j) = 0.
-2/5, 2
Let w = 7 + -8. Let a be 3 - 1/(w - -2). Factor 0*v**3 + 2*v**4 + 0*v**4 - 2*v**5 + 2*v**3 - 2*v**a.
-2*v**2*(v - 1)**2*(v + 1)
Let r(l) = -l**4 - l**2 - 1. Let z(n) = -8*n**4 + 56*n**3 + 228*n**2 + 200*n - 512. Let b(h) = -12*r(h) + z(h). Solve b(c) = 0 for c.
-5, 1
Let q(r) = r**2 - 3*r - 2. Let v be q(4). What is l in 1 + 1 + 0 - 2*l**v = 0?
-1, 1
Let s(m) = 5*m**2 - 5*m - 4. Let x(o) = 1 - 10*o + 6*o + 5*o - o**2 + 0*o. Let u(v) = s(v) + 6*x(v). Suppose u(j) = 0. Calculate j.
-1, 2
Let c(r) be the third derivative of -r**5/30 + r**4/3 + 5*r**3/3 + 12*r**2. Factor c(y).
-2*(y - 5)*(y + 1)
Find g, given that -1/3*g**5 + 0 + 2/3*g + 5/3*g**2 - 1/3*g**4 + g**3 = 0.
-1, 0, 2
Let s = -5/14 - -3/2. Factor -6/7*q**3 + 0*q - s*q**4 + 0 + 2/7*q**2.
-2*q**2*(q + 1)*(4*q - 1)/7
Let w(n) = 4*n**3 + 4*n**2 - 5*n - 5. Let j(z) = -z**3 - 3*z**2 - 2*z**3 + 4*z + 4 + 0*z. Let d = 14 + -10. Let t(v) = d*w(v) + 5*j(v). Factor t(s).
s**2*(s + 1)
Let o(u) be the second derivative of -u**6/35 - 4*u**5/35 - u**4/14 + 2*u**3/21 + 39*u. Suppose o(w) = 0. What is w?
-2, -1, 0, 1/3
Let r(l) be the first derivative of -3*l**4/4 - l**3 + 3*l**2 - 3. Factor r(a).
-3*a*(a - 1)*(a + 2)
Let a = 7/90 + -1/90. Let z(s) be the first derivative of a*s**5 + 0*s - 1/9*s**3 + 1/12*s**4 - 2 - 1/6*s**2. Suppose z(f) = 0. Calculate f.
-1, 0, 1
Let l(f) be the second derivative of f**5/50 - f**4/6 + 8*f**3/15 - 4*f**2/5 - 6*f. Factor l(b).
2*(b - 2)**2*(b - 1)/5
Suppose -12 = -2*y - 0*y. Suppose 2*r + 4*t = 8, -2*r - 2*r + 3*t - y = 0. Factor 0*m + r + 2/11*m**2.
2*m**2/11
Let d = 5 - 3. Let 2*g - g**3 - 8*g + 2*g + 0*g**3 + 4*g**d = 0. What is g?
0, 2
Let m = -106784/105 + 1017. Let n(q) be the third derivative of -m*q**7 - 2*q**2 + 0*q + 1/24*q**4 + 0*q**6 + 0 + 1/30*q**5 + 0*q**3 - 1/336*q**8. Factor n(k).
-k*(k - 1)*(k + 1)**3
Let b(y) be the second derivative of y**4/4 - y**3/2 - 3*y**2 - 58*y. Solve b(d) = 0 for d.
-1, 2
Suppose 0 = 138*v - 145*v + 14. Determine k so that -2/3*k + 0 - v*k**2 = 0.
-1/3, 0
Let p(u) be the first derivative of -2*u**5/75 - u**4/30 + 13. Find n, given that p(n) = 0.
-1, 0
Let x(o) be the first derivative of 1/30*o**6 + 1 + 3/8*o**4 + 7/40*o**5 - 2*o + 5/12*o**3 + 1/4*o**2. Let t(y) be the first derivative of x(y). Factor t(p).
(p + 1)**3*(2*p + 1)/2
Let z(m) be the second derivative of -5*m + m**5 + 0 - 4*m**2 - 3*m**4 + 14/3*m**3 - 2/15*m**6. Find s, given that z(s) = 0.
1, 2
Let y(q) be the first derivative of -q**3/3 - q**2/2 - 3. Let y(o) = 0. What is o?
-1, 0
Suppose 7*n - 11*n - 52 = 0. Let l = n - -13. Solve 2/3*m**2 + l*m + 0 - 7/3*m**3 = 0 for m.
0, 2/7
Let m = 15 + -13. Find h, given that 2*h**4 + 4*h - 4*h**3 + 0*h**2 + m*h**4 - 4*h**2 = 0.
-1, 0, 1
Let u(h) = h**3 - 8*h**2 - 4*h + 5. Let i be u(8). Let a = i - -27. Solve 2/11*w**3 + a*w**2 + 0 - 2/11*w = 0 for w.
-1, 0, 1
Let i(a) be the first derivative of 4/3*a**3 + 0*a**2 + 49/6*a**6 - 3 + 0*a + 8*a**4 + 77/5*a**5. Factor i(l).
l**2*(l + 1)*(7*l + 2)**2
What is o in 0 + 1/5*o**2 - 1/5*o = 0?
0, 1
Let o(x) be the second derivative of -15*x**5/16 - 35*x**4/8 - 11*x**3/2 - 3*x**2 + 3*x. Factor o(u).
-3*(u + 2)*(5*u + 2)**2/4
Let w be 2/3*6/10. Let m be (2 - 1 - 2)*(0 - 2). Suppose 0*l + w*l**3 - 2/5*l**m + 0 = 0. What is l?
0, 1
Let b(p) = p**4 - p**3 - p**2 - p - 1. Let d(k) = -16*k**4 + 26*k**3 - 2*k**2 + 10*k + 12. Let s(n) = 20*b(n) + 2*d(n). Suppose s(j) = 0. What is j?
-1/3, 1
Let g(f) be the second derivative of 11/4*f**5 - 5/6*f**6 - 14/3*f**3 - 4*f**2 + 1/2*f**4 + 6*f + 0. Find u such that g(u) = 0.
-2/5, 1, 2
Let q(g) = -10*g**3 + 50*g**2 - 69*g + 40. Let s(y) = 2*y*