(k) = -k**2 - k + 2. Let w be z(0). Factor t - 5*t**3 + t**3 - t**5 + 2*t**5 + w*t**3.
t*(t - 1)**2*(t + 1)**2
Let o(l) = -2*l**2 - 6*l + 12. Let q(j) = j**2 + 11. Let a be q(0). Let v(b) = -5*b**2 - 19*b + 35. Let r(z) = a*o(z) - 4*v(z). Suppose r(k) = 0. Calculate k.
1, 4
Suppose -t - 9 = -0*t - 3*n, 0 = 2*t + 4*n - 22. Let z(q) be the second derivative of 0*q**t + 7/15*q**6 + 3*q - 9/10*q**5 + 0 + 1/3*q**4 + 0*q**2. Factor z(u).
2*u**2*(u - 1)*(7*u - 2)
Let h(i) be the first derivative of -i**5 + 10*i**3 - 20*i**2 + 15*i + 24. Solve h(z) = 0 for z.
-3, 1
Let h(m) be the third derivative of m**6/240 - m**5/120 - 3*m**2. Suppose h(b) = 0. What is b?
0, 1
Let t(r) = -5*r**4 + 12*r**3 - 12*r**2 + 2*r - 3. Let i(v) = 10*v**4 - 25*v**3 + 25*v**2 - 5*v + 5. Let y(j) = -3*i(j) - 5*t(j). Factor y(b).
-5*b*(b - 1)**3
Let b be 19/45 + (-1 - (-28)/36). Determine j, given that 0 + 0*j**2 + b*j**3 + 0*j + 0*j**4 - 1/5*j**5 = 0.
-1, 0, 1
Solve 10/7*t - 12/7 - 2/7*t**2 = 0 for t.
2, 3
Suppose 8/7 - 76/7*k + 132/7*k**4 - 20*k**2 + 76/7*k**3 = 0. What is k?
-1, -2/3, 1/11, 1
Factor -4/3*d**2 + 0 - 4/3*d.
-4*d*(d + 1)/3
Suppose -6 = 3*u + 3*w + w, 1 = -4*u - 3*w. Determine t so that -3 + 27/4*t**3 - 63/4*t**u + 12*t = 0.
2/3, 1
Let b(x) = 2*x**5 + 16*x**4 + 16*x**3 + 20*x**2 + 18*x + 18. Let y(k) = -k**4 - k**3 - k**2 - k - 1. Let t(h) = 2*b(h) + 36*y(h). Find q, given that t(q) = 0.
-1, 0, 1
Let v(g) be the first derivative of -g**5/35 + g**3/21 - 1. Factor v(f).
-f**2*(f - 1)*(f + 1)/7
Let y(h) = h**2 + h. Let n(z) = -3*z**2 - z. Let k = 34 + -24. Suppose -8*r - k = -3*r. Let l(d) = r*y(d) - n(d). Determine b, given that l(b) = 0.
0, 1
Factor w - 2 + 3/2*w**2 + 1/4*w**4 - 5/4*w**3.
(w - 2)**3*(w + 1)/4
Factor -288/5 + 408*g - 3696/5*g**2 + 294/5*g**3.
6*(g - 12)*(7*g - 2)**2/5
Factor 10/13*d**2 + 6/13*d**3 + 0 + 4/13*d.
2*d*(d + 1)*(3*d + 2)/13
Let n(g) be the third derivative of -1/24*g**4 + 1/60*g**6 - 1/30*g**5 + 0*g + 1/6*g**3 + 0 - 1/336*g**8 - 2*g**2 + 1/210*g**7. Factor n(p).
-(p - 1)**3*(p + 1)**2
Suppose -f - 10 = -10. Factor -4/9*w**2 + f + 0*w - 2/9*w**4 - 2/3*w**3.
-2*w**2*(w + 1)*(w + 2)/9
Let r be ((-3)/(-12))/((-7)/(-16)). Factor 0 + 2/7*d**3 + 0*d + r*d**4 + 0*d**2 + 2/7*d**5.
2*d**3*(d + 1)**2/7
Suppose 4*j - 21 = 5*z, -5*z + 5 = 5*j - 10. Let n be 50/15 + z/3. Solve -2 + 0*u**2 - 4*u + u**2 - n*u**2 = 0.
-1
Let w be 3/2*(-2 - -4). Let z(i) be the third derivative of -1/36*i**4 - 3*i**2 - 1/36*i**6 + 0*i + 4/45*i**5 - 2/9*i**w + 0. Factor z(b).
-2*(b - 1)**2*(5*b + 2)/3
Let g(w) be the first derivative of w**4/18 - w**2/3 + 3*w - 2. Let p(h) be the first derivative of g(h). Find b such that p(b) = 0.
-1, 1
Let f(n) = 8*n**2 - 19*n - 27. Let a(g) = 52*g**2 - 124*g - 176. Let b(s) = -5*a(s) + 32*f(s). Solve b(h) = 0 for h.
-1, 4
Suppose 2*b = 8*b - 12. Let g(f) be the second derivative of b*f + 1/10*f**5 + 0*f**6 + 0*f**3 + 0 + 0*f**2 + 0*f**4 - 1/21*f**7. Factor g(p).
-2*p**3*(p - 1)*(p + 1)
Factor 25/4*t**4 + 0 + 5/4*t - 15/4*t**3 - 5/4*t**2 - 5/2*t**5.
-5*t*(t - 1)**3*(2*t + 1)/4
Let r(l) be the first derivative of -4*l**6/3 - 18*l**5/5 - 3*l**4 - 2*l**3/3 + 2. Find h such that r(h) = 0.
-1, -1/4, 0
Let h = -5/2 + 33/14. Let o = 10/21 + h. Let -2/3*n**2 + 0*n**3 + o*n**4 + 1/3 + 0*n = 0. What is n?
-1, 1
Let a(u) be the third derivative of -u**6/540 + u**5/90 - u**4/54 - 13*u**2. Factor a(i).
-2*i*(i - 2)*(i - 1)/9
Let u be 3/(-2)*(-60)/18. Let d(t) be the first derivative of 0*t**3 + 1/8*t**2 + 1/24*t**6 - 1/8*t**4 + 1 + 0*t + 0*t**u. Find b such that d(b) = 0.
-1, 0, 1
Let t(w) = -5*w**2 - 2*w + 10. Suppose -2 = 5*y - 12. Let i(m) = 0*m**2 - 48 + 14*m**y + 5*m + 19. Let c(j) = 6*i(j) + 17*t(j). Solve c(h) = 0.
-2
Let g(p) = 6*p**3 + 5*p**2 - 11*p + 5. Let o(l) = 3*l**3 + 3*l**2 - 6*l + 3. Suppose s = -2*z - 1, 0 = 3*z + 9 - 0. Let r(c) = s*o(c) - 3*g(c). Factor r(b).
-3*b*(b - 1)*(b + 1)
Let w(r) = -r**3 + 2*r**2 + 4*r + 1. Let o be w(3). Suppose -n = n - o. Factor -j**3 - 5*j + 2 - 3*j + 2 + 5*j**n.
-(j - 2)**2*(j - 1)
Solve -16 - 8*g**2 + 16*g**3 - 11*g**2 - 4*g**2 + 44*g - 2*g**4 - 19*g**2 = 0.
1, 2, 4
Suppose b + 32*b**2 + 3*b**4 - 33*b**2 - 4*b**3 + b = 0. Calculate b.
-2/3, 0, 1
Let v(t) be the first derivative of t**6/6 - t**5 + 2*t**4 - 4*t**3/3 + 2. Factor v(m).
m**2*(m - 2)**2*(m - 1)
Let l(n) be the second derivative of 0*n**2 + 1/5*n**5 + 0*n**3 - 3*n + 4/3*n**4 + 0. Factor l(j).
4*j**2*(j + 4)
Let o(l) be the second derivative of 3*l + 0*l**3 + 0*l**2 + 0 - 1/54*l**4 - 1/45*l**5 - 1/135*l**6. Determine r so that o(r) = 0.
-1, 0
Find q such that 18 + 4*q - 11*q - 3*q**2 - 8*q = 0.
-6, 1
Let t(r) be the second derivative of r**4/3 + 2*r**3/3 - 5*r. Find m, given that t(m) = 0.
-1, 0
Let a = 14 + -8. Let x(j) be the third derivative of 0*j**4 + 0*j - 1/1176*j**8 + 0*j**7 + 0 + j**2 + 0*j**5 + 0*j**a + 0*j**3. Factor x(g).
-2*g**5/7
Let h = -57704033302/10108539 + 2/3369513. Let v = -5700 - h. Factor -4/9 - 64/9*q**2 + v*q**3 - 44/9*q**4 + 10/9*q**5 + 26/9*q.
2*(q - 1)**4*(5*q - 2)/9
Let q = 67 - 334/5. Determine p, given that 2/5*p + q + 1/5*p**2 = 0.
-1
Suppose 3*l = -5*b + 1, -3*l + 0*l + 3*b + 9 = 0. Suppose 3*d = 10 + l, -4*d + 19 = g. Factor 2*u**3 + 2*u - g*u - 2*u**5 + u**5.
-u*(u - 1)**2*(u + 1)**2
Find l such that 5*l**3 + 5*l - 2*l - 7*l**3 - l**3 = 0.
-1, 0, 1
Let t(m) be the third derivative of -m**5/60 + 2*m**3/3 + m**2. Factor t(j).
-(j - 2)*(j + 2)
Suppose -3*k + 8 + 7 = 0. Let o(u) = 0 + 4*u - 1 + 2 - 5 + 2*u**2. Let w(d) = 4*d**2 + 9*d - 8. Let h(i) = k*o(i) - 2*w(i). Factor h(m).
2*(m - 1)*(m + 2)
Let z(o) = 3*o**2 + 28*o + 27. Let s(k) = k. Let u(x) = -2*s(x) - z(x). Factor u(r).
-3*(r + 1)*(r + 9)
Let v(y) be the second derivative of -y**8/3360 + y**6/360 - y**4/48 - 2*y**3/3 - 4*y. Let q(u) be the second derivative of v(u). Solve q(m) = 0 for m.
-1, 1
Let p(a) be the second derivative of 3/50*a**5 + 1/10*a**4 + 0 + 1/15*a**3 + 5*a + 1/75*a**6 + 0*a**2. Factor p(w).
2*w*(w + 1)**3/5
Let v be (6 - 26)/(-1 - 1). Factor -7*h + 5*h - 4 + 40*h**3 + 36*h**5 - v*h - 84*h**4 + 24*h**2.
4*(h - 1)**3*(3*h + 1)**2
Suppose 21 = 4*h + 17, 0 = c + 3*h - 7. Solve -39/5*d + 3/5*d**c + 12/5 - 21/5*d**3 + 9*d**2 = 0 for d.
1, 4
Let r(o) = -6*o**5 + 15*o**4 - 18*o**3 + 10*o**2 - 2*o - 1. Let g(h) = -h**5 + h**3 - h. Let p(u) = 2*g(u) - r(u). Let p(x) = 0. Calculate x.
-1/4, 1
Let d(h) be the first derivative of -h**6/36 - h**5/15 + h**4/8 + 2*h**3/9 - h**2/3 - 61. Find g such that d(g) = 0.
-2, 0, 1
Solve 6 - 3*z + 2*z**2 - 4*z**2 - 21*z**2 - 15*z**3 - z**2 = 0.
-1, 2/5
Factor -16*t**2 - 4*t**3 - 4*t**3 + 12*t**4 - 8*t**4 + 4 + 8*t**4 + 8*t.
4*(t - 1)**2*(t + 1)*(3*t + 1)
Let w(n) be the third derivative of -6*n**2 + 0 - 1/156*n**4 + 2/39*n**3 + 0*n - 1/390*n**5. Factor w(c).
-2*(c - 1)*(c + 2)/13
Let v(b) be the first derivative of -b**6/3 + 6*b**5/5 - b**4 - 4*b**3/3 + 3*b**2 - 2*b - 5. Factor v(u).
-2*(u - 1)**4*(u + 1)
Let g be -1 + (3 - (2 + -1)). Let i be 0*(g - (-9)/(-6)). Factor -1/5*w**4 + 0 + 0*w**2 + i*w + 1/5*w**3.
-w**3*(w - 1)/5
Let b be (-10)/(-28) + 23/161. Factor b*h**4 - 1/2 + 0*h**2 + h - h**3.
(h - 1)**3*(h + 1)/2
Let b be ((-1)/(-1))/1 + 1. Factor 2*u - 14*u**b + u + u**4 + 15*u**2 - 2 - 3*u**3.
(u - 2)*(u - 1)**2*(u + 1)
Let i(z) be the third derivative of 2*z**7/105 - z**6/40 + 11*z**2. Suppose i(g) = 0. What is g?
0, 3/4
Let c(l) be the third derivative of -1/90*l**5 + 2/9*l**3 + 5*l**2 + 0 - 1/36*l**4 + 0*l. Suppose c(h) = 0. What is h?
-2, 1
Let l(j) be the second derivative of -j**7/4620 - j**6/1980 + j**3 + 6*j. Let t(d) be the second derivative of l(d). Suppose t(s) = 0. What is s?
-1, 0
Let w(c) be the second derivative of c**7/350 + c**6/300 - c**5/75 - c**4/60 + c**3/30 + 3*c**2 + 3*c. Let z(t) be the first derivative of w(t). Factor z(j).
(j - 1)*(j + 1)**2*(3*j - 1)/5
Let i(a) be the second derivative of 19*a**5/10 - 17*a**4/6 - 2*a**3/3 - 4*a. Let i(o) = 0. What is o?
-2/19, 0, 1
Let w(s) be the first derivative of 5*s**3/3 - 5*s**2 + 9. Factor w(p).
5*p*(p - 2)
Let i(r) be the second derivative of -r**7/105 + r**5/50 + 13*r. Solve i(j) = 0 for j.
-1, 0, 1
Let h = -155/2 + 78. Find f such that 1/4*f - 1/2*f**2 + 1/4*f**5 + 1/4 - h*f**3 + 1/4*f**4 = 0.
-1, 1
Let j = 8249/1767 + -1/589. Fa