4 + 2*z**a - 2*z**5 + 4*z**3 = 0. What is z?
0, 2/3, 1
Let u be (-2)/3*1 + 80/12. Let g(i) be the third derivative of 0*i**4 + 0 - i**2 - 1/630*i**7 + 0*i + 0*i**5 - 1/360*i**u + 0*i**3. Factor g(l).
-l**3*(l + 1)/3
Let w(x) = x - 5. Let t be w(8). Let c(j) be the first derivative of 0*j - j**2 + 1/3*j**t - 3. Solve c(r) = 0 for r.
0, 2
Let d = 8 - 0. Factor d*x + 13*x**3 - 24*x**2 + x + 3*x**3 - 1.
(x - 1)*(4*x - 1)**2
Factor 1/3*b**2 + 3 + 10/3*b.
(b + 1)*(b + 9)/3
Suppose 3*r = -0*r - 3*b, -4*r + 14 = -3*b. Solve -4 - j**r - 2*j + 5 + 2*j**2 = 0 for j.
1
Let h = 79321/30708 + 2/7677. Let i = 125/36 - h. Factor -i*t - 8/9 - 2/9*t**2.
-2*(t + 2)**2/9
Let l(a) be the second derivative of a**4/16 - 3*a**2/8 + 9*a. Solve l(f) = 0 for f.
-1, 1
Let b(c) be the first derivative of 5*c**4/12 - 5*c**2/6 - 8. Factor b(k).
5*k*(k - 1)*(k + 1)/3
Let r = -19 + 37. Factor -2 - 3*f**4 + r*f**3 + 0*f**4 - 10 + 36*f - 39*f**2.
-3*(f - 2)**2*(f - 1)**2
Let f(n) be the first derivative of -n**3/3 - 3*n**2 - 3*n + 1. Let g be f(-5). Factor -2/7*q**g + 0 + 2/7*q**4 - 2/7*q**5 + 0*q + 2/7*q**3.
-2*q**2*(q - 1)**2*(q + 1)/7
Let j be 0/((6 - 4)/(-2)). Factor 0 + j*b - 2/5*b**2 - 1/5*b**3.
-b**2*(b + 2)/5
Let l = -68 + 208/3. Factor 0 - 2/3*w + l*w**2 - 2/3*w**3.
-2*w*(w - 1)**2/3
Let i(g) = -g**4 + g**3 + 1. Let z(n) = -8*n**4 + 16*n**3 + 4. Let a(q) = 4*i(q) - z(q). Factor a(b).
4*b**3*(b - 3)
Let z = 62/105 - 4/21. Solve -z*y**2 + 0 - 2/5*y = 0.
-1, 0
Let t be (-6)/(-10)*9/(162/60). Let p = -25/8 - -223/56. Factor 2/7*j**3 + 6/7*j**t + p*j + 2/7.
2*(j + 1)**3/7
Let j(z) be the third derivative of -z**9/15120 + z**7/420 + z**6/90 - z**5/12 + z**2. Let h(n) be the third derivative of j(n). Factor h(y).
-4*(y - 2)*(y + 1)**2
Let a = -536 + 538. Factor -2/5*d**a + 0 + 0*d + 2/5*d**3.
2*d**2*(d - 1)/5
Solve 0*v**2 + 0*v + 0 + 1/8*v**3 + 1/8*v**4 = 0.
-1, 0
Let o(m) be the first derivative of -m**6 - 3*m**5/5 + 21*m**4/4 - m**3 - 15*m**2/2 + 6*m + 8. Suppose o(x) = 0. What is x?
-2, -1, 1/2, 1
Let d = -2/25 - -256/75. Let c(g) = -2*g + 2. Let k be c(-3). Solve 0 - k*u**2 - d*u**3 - 8/3*u = 0.
-2, -2/5, 0
Let v(x) = x**5 - 3*x**4 + 5*x**3 + 3*x**2 - x. Let j(c) = -2*c**4 + 2*c**3 + 2*c**2. Let o(m) = 5*j(m) - 2*v(m). Solve o(k) = 0 for k.
-1, 0, 1
Let c(b) be the third derivative of b**10/50400 - b**8/2240 - b**7/840 - b**5/20 - 3*b**2. Let o(d) be the third derivative of c(d). Factor o(n).
3*n*(n - 2)*(n + 1)**2
Suppose 4/5 - 8/15*r**2 + 2/15*r + 2/15*r**3 = 0. Calculate r.
-1, 2, 3
Let j(x) be the second derivative of -x**7/280 + x**3/3 - x. Let o(i) be the second derivative of j(i). Factor o(q).
-3*q**3
Factor -2*h + 8/5 + 2/5*h**2.
2*(h - 4)*(h - 1)/5
Let g(z) = z**2 + 2*z - 22. Let w be g(4). Find k, given that -1/3*k**4 - 1/3*k**3 + 2/3 + k**w + 5/3*k = 0.
-1, 2
Suppose -5*j + 1 = -9. What is c in -2*c - 5 + 0*c + 1 + 4*c**2 + 2*c**j = 0?
-2/3, 1
Let s be 1/(-2)*-3*3/6. Factor -1/4*o**5 + 0 + 3/4*o**4 + 0*o - s*o**3 + 1/4*o**2.
-o**2*(o - 1)**3/4
Let n be (-10 + 7 - (-3 + 0)) + 3. Factor 760/3*f**2 - 176/3*f + 1625/3*f**4 - 625/3*f**5 - 1600/3*f**n + 16/3.
-(f - 1)*(5*f - 2)**4/3
Let o(w) be the second derivative of -w**7/105 + w**6/30 - w**5/30 - w**2/2 - 3*w. Let m(p) be the first derivative of o(p). Determine d so that m(d) = 0.
0, 1
Solve 1/9*q**2 + 0 - 2/9*q = 0 for q.
0, 2
Suppose -10 = -p + 6*p. Let x = -2 - p. Factor 2/3*f**4 + 0 + 0*f**3 + x*f**2 + 0*f.
2*f**4/3
Let o(z) = 10*z + 60. Let m be o(-6). Factor 0*j - 1/2*j**2 + m.
-j**2/2
Let h(p) = -p**5 + p**4 + p**3 - p - 1. Let t(x) = 15*x**5 - 15*x**4 - 15*x**3 + 5*x**2 + 10*x + 10. Let s(b) = 10*h(b) + t(b). Determine w so that s(w) = 0.
-1, 0, 1
Let c(z) = z**5 + z**4 + z**3. Let w(i) = 14*i**5 + 8*i**4 - 4*i**3 + 32*i**2 + 32*i - 64. Let g(n) = -12*c(n) + w(n). Factor g(b).
2*(b - 2)**3*(b + 2)**2
Suppose 0 = 5*u + o - 12, 4*u - 5*o + 2*o = 21. Factor -1/4*k**2 + 0*k + 1/4*k**u + 0.
k**2*(k - 1)/4
Let j(w) = -25*w**2 - 24*w + 24. Let r(d) = -13*d**2 - 12*d + 12. Let o(l) = -l - 14. Let v be o(-7). Let t(g) = v*r(g) + 4*j(g). Suppose t(s) = 0. Calculate s.
-2, 2/3
Let f = -13 + 31. Let n be 3/2*3/f. Factor 0*w + 1/4*w**4 + 1/4*w**5 - n*w**3 - 1/4*w**2 + 0.
w**2*(w - 1)*(w + 1)**2/4
Suppose 153*c + 20 = 158*c. Factor c*i + 4/5*i**2 + 16/5.
4*(i + 1)*(i + 4)/5
Let g = -21960/11 - -1998. Find r, given that 4/11 - 10/11*r**3 + 2/11*r**4 + g*r**2 - 14/11*r = 0.
1, 2
Let r(k) = -5*k**3 - 6*k**2 - 9*k - 2. Let u(y) = -36*y**3 - 42*y**2 - 64*y - 14. Let b(n) = 44*r(n) - 6*u(n). Factor b(d).
-4*(d + 1)**3
Suppose 11*r - 7*r - 28 = 0. Let a = r - 7. Factor 1/3*o**3 + 0*o + a - 1/3*o**2.
o**2*(o - 1)/3
Let m(x) = 2*x - 2*x - 3*x + 2*x. Let t be m(-2). Determine y, given that 2*y**4 + 14*y + 8 + 28*y**2 - 10*y**t + 10*y**3 - 4 = 0.
-2, -1
Suppose 5 = 2*x - 3, -2*x = 5*k - 48. Let h be k/26*(22 + -21). Find m, given that 2/13*m**2 + 2/13 - h*m = 0.
1
Let c(b) be the second derivative of 10/3*b**3 - 2/15*b**6 - 4*b - 1/5*b**5 + 0 + b**4 + 4*b**2. Factor c(n).
-4*(n - 2)*(n + 1)**3
Suppose -12 = -8*s + 12. Let i(k) be the first derivative of s + 2/21*k**3 - 4/7*k**2 + 8/7*k. Determine u, given that i(u) = 0.
2
Suppose 10 = -0*g + 2*g. Let d(j) be the first derivative of 2 - 4/33*j**3 + 1/33*j**6 + 2/11*j + 1/11*j**2 - 1/11*j**4 + 2/55*j**g. Factor d(q).
2*(q - 1)**2*(q + 1)**3/11
Let n(c) be the third derivative of 1/300*c**6 + 0*c - 1/15*c**3 - 2*c**2 + 0 + 1/20*c**4 - 1/50*c**5. Solve n(b) = 0.
1
Suppose 5*o = 2*l + 2*o - 16, -5*l + 22 = -3*o. Factor -1/2*t**3 - 3/2*t**l - 3/2*t - 1/2.
-(t + 1)**3/2
Solve 4/3*d**3 + 2/3*d**2 + 0 - d - 2/3*d**4 - 1/3*d**5 = 0.
-3, -1, 0, 1
Let r(v) = 8*v**2 + 8*v - 4 - 1 + 0 + 3. Let m(n) = n**3 + 1. Let j = 0 - -2. Let a(x) = j*m(x) + r(x). Find i, given that a(i) = 0.
-2, 0
Let l be 0 - (3 + -3) - 7. Let z = -5 - l. Suppose -5*v**2 + z*v**2 - 3*v + 0*v = 0. What is v?
-1, 0
Let a(v) = -6*v**3 + 2*v + 1. Let f be a(-1). Factor -5*g**2 + 2*g**4 + 7*g**2 - f*g**2 + g**4.
3*g**2*(g - 1)*(g + 1)
Factor -1 + 9*v - 1 + v**3 + 6*v**2 + 2.
v*(v + 3)**2
Find s, given that 38*s**3 - 37*s**3 + 0*s**2 - s**2 = 0.
0, 1
Let y(n) be the first derivative of -n**6/9 + 2*n**5/15 + n**4/6 - 2*n**3/9 - 22. Find q, given that y(q) = 0.
-1, 0, 1
Let f(c) be the third derivative of -c**6/18 + 22*c**5/45 - 14*c**4/9 + 16*c**3/9 + 11*c**2. Factor f(n).
-4*(n - 2)**2*(5*n - 2)/3
Let p(j) be the third derivative of j**6/720 - j**5/60 + j**4/12 + j**3/3 - 2*j**2. Let y(l) be the first derivative of p(l). Factor y(s).
(s - 2)**2/2
Let m be 2 + -1*4 + 4. Factor i**2 + m*i**3 - 5*i**4 - i**3 - 3*i**3 + 6*i**4.
i**2*(i - 1)**2
Let i(n) be the first derivative of -1/14*n**4 + 0*n + 0*n**2 - 1 + 4/21*n**3. Suppose i(s) = 0. Calculate s.
0, 2
Let s = -27 - -11. Let j be ((-3)/(-7))/((-24)/s). Suppose -4/7*b**4 - j*b**3 + 0*b + 0*b**2 + 0 = 0. Calculate b.
-1/2, 0
Suppose -n + 2*k = -2, 0*k + 52 = 5*n + 4*k. Suppose -i + 5*i = n. Solve -g - i*g**3 + 4*g**2 + 0*g**2 - g = 0 for g.
0, 1
Suppose -3*i = -0*i + 72. Let u = 24 + i. Factor 1/4*r**3 + 0*r**2 - 1/4*r + u.
r*(r - 1)*(r + 1)/4
Let x(o) = -4*o**3 - 8*o**2 - 12*o - 4. Let l(p) = p**3 + p. Let i(w) = 2*l(w) + x(w). Factor i(t).
-2*(t + 1)**2*(t + 2)
Let n(w) be the first derivative of -w**4/2 - 2*w**3/3 + 3. Suppose n(a) = 0. What is a?
-1, 0
Find z such that 4*z**2 + 40*z - 9*z**3 - 24*z**2 + 5*z**4 - z**3 = 0.
-2, 0, 2
Suppose q + 5*v - 16 = 0, -v + 15 = 2*v. Let f be (-2)/q + (-7)/(-9). Let n(g) = 6*g**2. Let a(r) = r**2. Let u(y) = f*n(y) - 4*a(y). Solve u(d) = 0.
0
Suppose -3*w = -2*g + 7, -2*w - 3*w + 5 = 5*g. Let l(s) be the first derivative of -1/2*s**g - 1/2*s - 1/6*s**3 - 2. Factor l(m).
-(m + 1)**2/2
Let h be (-22)/(-8) - (-1)/4. Let n = h - -3. Factor o**5 - 3*o**5 - 4*o**3 - n*o**4 + 0*o**4.
-2*o**3*(o + 1)*(o + 2)
Let s(v) be the third derivative of -1/30*v**5 - 1/120*v**6 + 0*v**3 + 0*v + 2*v**2 + 0 + 0*v**4. Let s(j) = 0. Calculate j.
-2, 0
Let u(q) = q + 8. Let n be u(-7). Suppose i = -2*s + n + 1, 2*s = 2*i + 2. Factor i - 2/9*z**4 + 2/9*z**3 + 0*z**2 + 0*z.
-2*z**3*(z - 1)/9
Let f(t) = 2*t**2 + 8*t + 2. Let d be f(-4). Suppose 2*k - 8 + 2 = 0. Solve 0 + 4/7*b**d - 2/7*b**k - 2/7*b = 0 for b.
0, 1
Let q(h) be the first derivative of -h**7/315