mine x so that x**2 - s*x**2 - x**5 - 3 - 2*x**5 - 6*x**3 + 9*x + 9*x**4 = 0.
-1, 1
Let i(v) be the second derivative of 1/3*v**3 + 0 - 2/3*v**2 - 1/12*v**4 - 2*v + 1/120*v**5. Factor i(m).
(m - 2)**3/6
Let v = 2 - 8. Let d = v - -6. Suppose d - 1/3*g + 3*g**4 - g**3 - 5/3*g**2 = 0. Calculate g.
-1/3, 0, 1
Find c, given that -2/19*c**2 + 10/19*c + 0 = 0.
0, 5
Let f(o) = 7*o**4 - 7*o**3 - 20*o**2 + 20*o + 2. Let g(q) = 15*q**4 - 15*q**3 - 40*q**2 + 40*q + 5. Let a(t) = 5*f(t) - 2*g(t). Factor a(u).
5*u*(u - 2)*(u - 1)*(u + 2)
Suppose 2/9*u**2 + 0 + 0*u = 0. What is u?
0
Let b(i) = 22*i + 90. Let j be b(-4). Factor 0 - 2/13*a + 2/13*a**j - 2/13*a**4 + 2/13*a**3.
-2*a*(a - 1)**2*(a + 1)/13
Let y(a) = -6*a**4 - 14*a**3 - 2*a**2 + 14*a + 8. Let f(j) = 13*j**4 + 29*j**3 + 3*j**2 - 29*j - 16. Let h(d) = -2*f(d) - 5*y(d). Let h(c) = 0. What is c?
-2, -1, 1
Let v(p) = -8*p**3 + 8*p + 6. Let s(y) = 15*y**3 - 15*y - 11. Let c(u) = -6*s(u) - 11*v(u). Let c(k) = 0. Calculate k.
-1, 0, 1
Let r(w) be the third derivative of -w**8/112 + w**6/40 - 15*w**2. Factor r(m).
-3*m**3*(m - 1)*(m + 1)
Let i be (-53)/(-318) + (-2)/(-24). Factor i*d**2 - 1/4*d + 0.
d*(d - 1)/4
Factor -4/5*f**2 + 0 - 2/5*f**4 - 6/5*f**3 + 0*f.
-2*f**2*(f + 1)*(f + 2)/5
Factor -2*q**4 - 9*q**3 + q**4 + 9*q**2 + 4*q**4 - q - 2*q.
3*q*(q - 1)**3
Suppose 0 = o + 5, -3*d + 32 - 4 = 4*o. Let u be 2/(d/28) + -2. Factor 0 + u*p**3 + 0*p - 1/2*p**2.
p**2*(3*p - 1)/2
Let c(j) = 10*j**2 + 34*j + 4. Suppose -2*q = w - 9, 12 = 3*q + 4*w + 1. Let u(s) = 2 + 3*s**2 + 13*s - 1 - 2*s. Let g(z) = q*c(z) - 16*u(z). Factor g(n).
2*(n - 2)*(n - 1)
Let b(h) be the third derivative of 0*h + 0*h**4 + 0 + 0*h**5 - 1/1260*h**7 - 1/2016*h**8 + 0*h**6 + 2*h**2 + 0*h**3. Determine a so that b(a) = 0.
-1, 0
Solve 44*z**4 - 52*z**4 - 3*z**3 + 0*z**3 + 7*z**3 + 4*z**5 = 0.
0, 1
Let d(h) = h**4 + h**2. Let t(w) = -w**4 - 12*w**3 + 8*w**2 + 36*w - 27. Let m(r) = 2*d(r) - t(r). Solve m(y) = 0.
-3, 1
Let z(v) = 0*v**2 - 2*v**2 + 3*v**2 + 2 - 2*v**2 + 5*v. Let o be z(4). Solve o*m**2 + m + 2*m**3 + 3*m + 2*m + 2 = 0 for m.
-1
Let h(p) be the third derivative of p**6/600 - p**5/75 - 4*p**2. Determine l, given that h(l) = 0.
0, 4
Let o(p) be the second derivative of 1/3*p**3 + 1/60*p**5 - 1/2*p**2 + 0 - 2*p - 1/8*p**4. Let m(z) be the first derivative of o(z). Factor m(a).
(a - 2)*(a - 1)
Let a be (8/96)/(-4*(-2)/24). Determine k, given that 1/4*k**2 + 0*k - 1/4*k**5 - 1/4*k**4 + 0 + a*k**3 = 0.
-1, 0, 1
Let p = -91 + 97. Let f(x) be the second derivative of x + 1/12*x**4 + 0*x**5 + 0 + 0*x**3 + 0*x**2 - 1/30*x**p. Find w such that f(w) = 0.
-1, 0, 1
Let y(j) = -16*j**4 + 4*j**3 + 20*j**2 + 8*j - 16. Let x(m) = m**3 - m**2 + m - 1. Let z(l) = 16*x(l) - y(l). Let z(n) = 0. Calculate n.
-2, 0, 1/4, 1
Let c(b) be the first derivative of -2*b**5/75 + 3*b**4/10 - 6*b**3/5 + 9*b**2/5 - 1. Factor c(a).
-2*a*(a - 3)**3/15
Let s = 143/1260 + -4/63. Let c(o) be the second derivative of -1/42*o**7 - s*o**5 + 0*o**4 + 0 + 0*o**3 + 0*o**2 + 4*o - 1/15*o**6. Let c(j) = 0. Calculate j.
-1, 0
Let w(u) = u**2 + 5*u - 2. Let l be w(-6). Suppose 0 = -l*a + 33 - 9. Solve -3*m + 3*m**3 + a*m**2 + 2*m**4 + m - 9*m**3 = 0 for m.
0, 1
Let b(v) = -v**2 + 5*v + 2. Let f be b(4). Solve 3*h**3 + 3 - 3*h**2 + 3*h + 0*h**3 - f*h = 0 for h.
-1, 1
Let p(n) = -n**3 - 2*n**2 - 5*n - 6. Let y be p(-4). Let d = y + -137/3. Solve 0 + d*w + 0*w**3 - 1/3*w**5 + 2/3*w**4 - 2/3*w**2 = 0 for w.
-1, 0, 1
Let t be 28/(-35) - 366/(-45). Let -8/9*i - 10/9*i**5 + 44/9*i**4 + 40/9*i**2 + 0 - t*i**3 = 0. What is i?
0, 2/5, 1, 2
Let g(z) = z**2 - 14*z + 13. Let d be g(13). Find h, given that 1/2*h - 1/4*h**2 + 1/4*h**4 + d + 21/4*h**5 - 23/4*h**3 = 0.
-1, -1/3, 0, 2/7, 1
Let k(m) = m**3 + 7*m**2 - 9*m - 6. Let w(y) = -9*y**2 - 5*y - 4. Let b be w(-1). Let x be k(b). What is s in -18/5*s - 4/5 - 8/5*s**x = 0?
-2, -1/4
Suppose 3*m = -a - 5, -6*a - 3*m + 11 = -a. Find r such that -2*r + 2*r**2 - r**3 - a*r**2 + r = 0.
-1, 0
Determine x, given that -25/6*x**2 - 5/6*x**4 - 10/3*x**3 + 0 - 5/3*x = 0.
-2, -1, 0
Let h(d) be the second derivative of -d**7/231 + 4*d**6/165 - 2*d**5/55 + d - 2. Factor h(s).
-2*s**3*(s - 2)**2/11
Factor -35/2*x**2 + 0 - 5*x + 10*x**3.
5*x*(x - 2)*(4*x + 1)/2
Suppose -7*o = -3*o + 4. Let u be 2/(-3)*(-2 + o). Factor -1/5*g + 0 + 3/5*g**u.
g*(3*g - 1)/5
Let x be 12/3 - (-3 + 4). Let k(v) be the third derivative of -2/15*v**x + 0*v**5 + 1/20*v**4 - v**2 + 0 + 0*v - 1/300*v**6. Factor k(s).
-2*(s - 1)**2*(s + 2)/5
Suppose 35 - 9 = -2*a. Let d = a + 13. Factor 3/5*u**2 - 1/5*u + d - 3/5*u**3 + 1/5*u**4.
u*(u - 1)**3/5
Suppose -f = -1 - 2. Let q(o) be the third derivative of 1/21*o**f + 1/84*o**4 - 1/210*o**5 + 0*o + 0 - 1/420*o**6 + o**2. Factor q(k).
-2*(k - 1)*(k + 1)**2/7
Solve 3*r**2 + r**3 + 5*r**3 + 0*r**3 + 3*r**4 = 0 for r.
-1, 0
Let r(x) be the second derivative of x**6/75 - x**5/50 - x**4/10 + x**3/15 + 2*x**2/5 + 6*x. Find k such that r(k) = 0.
-1, 1, 2
Let w = -271/1960 - -8/49. Let c(i) be the second derivative of 0*i**2 + 1/84*i**7 + 0*i**3 + 0 - 1/12*i**4 + 3*i - w*i**5 + 1/30*i**6. What is q in c(q) = 0?
-2, -1, 0, 1
Let z(v) be the third derivative of v**5/510 + v**4/204 - 2*v**3/51 + 12*v**2. Factor z(x).
2*(x - 1)*(x + 2)/17
Let z(r) be the second derivative of r**5/20 - 3*r**4/4 + 9*r**3/2 - 27*r**2/2 - 3*r. Factor z(o).
(o - 3)**3
Factor 0 - 8*m - 44/3*m**2 - 4/3*m**4 - 8*m**3.
-4*m*(m + 1)*(m + 2)*(m + 3)/3
Let x be (-1 - 14/(-3)) + -2. Let m(j) be the first derivative of 1/2*j**6 + j**5 - 1/4*j**4 - j**2 + 0*j - x*j**3 - 1. Find y, given that m(y) = 0.
-1, -2/3, 0, 1
Find s, given that -8*s**2 + 2*s + 118*s**3 - s**4 + 9*s**4 - 120*s**3 = 0.
-1, 0, 1/4, 1
Factor -5/3*y**2 + 5/3 - 5/3*y**3 + 5/3*y.
-5*(y - 1)*(y + 1)**2/3
Let j(x) be the third derivative of 2*x**7/525 + x**6/50 + x**5/25 + x**4/30 + 4*x**2. Suppose j(u) = 0. What is u?
-1, 0
Suppose 0 = 2*b + 5*s, -7*b = -2*b - 2*s. Suppose b = -2*l + 6*l. Factor l - 1/5*j**2 + 3/5*j**3 + 0*j.
j**2*(3*j - 1)/5
Factor -2/9*m**2 + 0 + 2/9*m**4 + 0*m**3 + 0*m.
2*m**2*(m - 1)*(m + 1)/9
Let i(m) = -m**3 + 4*m**2 + 2*m - 6. Let b be i(4). Let -5*l + 15*l**b - l**5 + 1 - 12*l**3 + 5*l**4 - 5*l**2 + 2*l**3 = 0. Calculate l.
1
Let l(r) = -r**2 + 8*r - 7. Let q be l(7). Suppose b - 3 = -q. Solve 0 - 1/3*k**2 + 0*k + 1/3*k**4 + 0*k**b = 0.
-1, 0, 1
Let s(n) be the first derivative of n**4/16 - 3*n**3/4 + 27*n**2/8 - 2*n + 1. Let x(r) be the first derivative of s(r). Factor x(j).
3*(j - 3)**2/4
Let b(h) be the first derivative of -9*h**4/22 + 8*h**3/11 - 4*h**2/11 - 36. Factor b(r).
-2*r*(3*r - 2)**2/11
What is z in -10*z - 5/2 - 15*z**2 - 5/2*z**4 - 10*z**3 = 0?
-1
Suppose -5*s = -15 - 20. Suppose -s*i = -4*i - 9. Determine g so that -10*g**2 - 2*g - 6*g**3 + 2 - 2*g**i + 2*g**3 = 0.
-1, 1/3
Let k(s) = s**3 - 7*s**2 - 9*s + 12. Let h be k(8). Find c, given that -3/7*c**2 + 0*c**3 + 0 + 4/7*c**h + 1/7*c = 0.
-1, 0, 1/2
Let s be (-58)/(-120) + (-8)/20. Let d(a) be the first derivative of 1/9*a**3 + 0*a**2 + 0*a + 3 + s*a**4. Suppose d(b) = 0. What is b?
-1, 0
Let v(f) be the first derivative of 2*f**3/9 + 2*f**2/3 - 7. Let v(o) = 0. Calculate o.
-2, 0
Let o = 2 - 2. Let c be 3 + (o - 3) + 2. Let 2*h**3 + h**4 + 0*h + 1 + c*h**2 - h - 4*h**2 - h**5 = 0. What is h?
-1, 1
Let x be (-9)/(-2)*24/36. Factor 2*q**2 - 2/3 + 0*q + 4/3*q**x.
2*(q + 1)**2*(2*q - 1)/3
Let q(p) = -p**2 + 2*p + 4*p**2 - 2*p**2 - 3*p + 1. Let f(h) = 2*h**3 + 4. Let x(z) = f(z) - 6*q(z). Factor x(v).
2*(v - 1)**3
Let a(p) be the third derivative of -2*p**7/105 + 2*p**5/5 + 4*p**4/3 + 2*p**3 - 3*p**2. Factor a(v).
-4*(v - 3)*(v + 1)**3
Let k(i) be the first derivative of i**5/5 - 3*i**4/4 + i**3 - i**2/2 + 7. Find x such that k(x) = 0.
0, 1
Let t = 17 + -14. Let l(r) be the third derivative of 0*r + 0*r**t + 0 + 0*r**5 + 2*r**2 + 1/180*r**6 - 1/36*r**4. Suppose l(i) = 0. What is i?
-1, 0, 1
Let r(q) be the third derivative of -q**5/140 - q**4/56 + 17*q**2. Determine t, given that r(t) = 0.
-1, 0
Let d be -2 - -3*(-1)/3. Let p be (-33)/(-9) + d + 0. Find h such that -p*h**2 + 0 + 2/3*h = 0.
0, 1
Factor -1/2*u**3 + 0 + 0*u**2 + 0*u - 1/2*u**4.
-u**3*(u + 1)/2
Let i(z) be the first derivative of z**4/4 + 2*z**3 + 5*z**2/2 - 1. Let 