g**4 - 3 + s*g**5 + 0*g + 1/10*g**2 + 7/15*g**3. Find i, given that q(i) = 0.
-1, -1/3, 0
Factor 5*p + p + 3*p**3 - 52*p**2 + 3*p + 64*p**2.
3*p*(p + 1)*(p + 3)
Factor 0 - 2*g**2 - 4/7*g.
-2*g*(7*g + 2)/7
Let z(c) be the first derivative of -2*c**3/15 - 2*c**2/5 + 6*c/5 + 6. Factor z(d).
-2*(d - 1)*(d + 3)/5
Let d(u) = -21*u**2 + 45*u - 37. Let t(x) = -10*x**2 + 22*x - 18. Let r(g) = -6*d(g) + 13*t(g). Factor r(s).
-4*(s - 3)*(s - 1)
Let l(t) be the first derivative of t**5/5 - t**4/8 - t**3 + 7*t**2/4 - t - 18. Factor l(r).
(r - 1)**2*(r + 2)*(2*r - 1)/2
Let o(l) = 13*l**3 - 2*l + 2. Let r be o(1). Let b = r + -8. Solve -2/5*s**4 + 0 + 0*s + 8/5*s**b + 2/5*s**2 - 8/5*s**3 = 0 for s.
-1, 0, 1/4, 1
Suppose 2*r = -2*z - r + 7, -5*z + 4*r = -6. Factor -4*n**2 + 2*n**4 + 4*n**3 + 5*n**z + n**2.
2*n**2*(n + 1)**2
Solve -1/6*c**2 + 7/6*c**3 - 2/3 - 4/3*c + 5/6*c**4 + 1/6*c**5 = 0 for c.
-2, -1, 1
Let f(o) = 4*o**3 - o**2 + o - 3. Let x(r) = -19*r - 5 + 22*r + 2*r**2 + 7*r**3 - 5*r**2. Let u(l) = 5*f(l) - 3*x(l). Factor u(a).
-a*(a - 2)**2
Let y(s) be the third derivative of s**5/20 + s**4/8 + 5*s**2. Let y(g) = 0. Calculate g.
-1, 0
Let n(s) be the second derivative of 1/18*s**4 - 2/9*s**3 + 0 + s + 1/3*s**2. Factor n(k).
2*(k - 1)**2/3
Let d(u) be the second derivative of -u**4/90 - 7*u**3/45 + 7*u. Factor d(h).
-2*h*(h + 7)/15
Let a(v) be the third derivative of v**7/84 - v**6/20 + 3*v**5/40 - v**4/24 - v**2. Find o such that a(o) = 0.
0, 2/5, 1
Let j(r) be the first derivative of r**4/24 - r**3/18 - 6. Solve j(n) = 0.
0, 1
Factor -5*y**3 + 14*y**3 - 2*y**2 - 6*y**3 - 3*y + 5*y**2 - 3.
3*(y - 1)*(y + 1)**2
Factor 0*c**2 - 10*c**3 - 3*c**3 + 10*c + 5*c**5 + 5*c**4 - 2*c**3 - 5*c**2.
5*c*(c - 1)**2*(c + 1)*(c + 2)
Let t(x) be the first derivative of x**4/12 - x**3/9 - x**2/6 + x/3 - 9. Factor t(h).
(h - 1)**2*(h + 1)/3
Let h(v) be the second derivative of -3*v**5/50 + 4*v**4/15 - v**3/5 - 2*v**2/5 + 9*v. Find y such that h(y) = 0.
-1/3, 1, 2
Suppose 0 = i, -z - 4*z + 10 = -4*i. Suppose -t + s - 2*s + 6 = 0, -4 = -2*t + 2*s. Factor -4*l**z - l**2 - 7*l**t + l**3 + 6*l**2 - 4*l**5 - 3*l**3.
-l**2*(l + 1)**2*(4*l - 1)
Let q be -18*7/(210/(-4)). Let s = q - 31/15. What is o in 1/6*o**3 - s + 1/3*o**2 - 1/6*o = 0?
-2, -1, 1
Let f(i) be the first derivative of i**3/24 + 3*i**2/16 - i/2 - 1. Factor f(y).
(y - 1)*(y + 4)/8
Let k = -2 - -5. Let d(r) be the second derivative of 1/24*r**4 - 1/4*r**2 + r + 0*r**k + 0. Factor d(x).
(x - 1)*(x + 1)/2
Suppose o - n = 7, 3*o + 3*n - 9 = -0. Factor -2*y + 2*y**4 + 7*y**3 - o*y**3 + 0*y**3 - 2*y**2.
2*y*(y - 1)*(y + 1)**2
Factor 0 - 3/4*k**3 - 1/4*k**4 + 0*k + 0*k**2.
-k**3*(k + 3)/4
Suppose 64/3 + 16*a + 1/3*a**3 + 4*a**2 = 0. What is a?
-4
Suppose -11*g = -9*g - 4. Factor 1/6*u**g + 1/3*u + 1/6.
(u + 1)**2/6
Let j(z) = -5*z**3 - 35*z**2 + 95*z - 55. Let n(c) = 7*c**3 + 53*c**2 - 143*c + 83. Let l(m) = -8*j(m) - 5*n(m). Solve l(i) = 0 for i.
-5, 1
Factor -13*t**2 - t**3 + 3*t**5 - 12*t - 11*t**2 + 6*t**4 - 8*t**3 + 0*t**3.
3*t*(t - 2)*(t + 1)**2*(t + 2)
Let j(z) be the second derivative of z**5/120 - z**4/36 + z**3/36 + 8*z. Determine l so that j(l) = 0.
0, 1
Let i(l) = -4*l - 3. Let n be i(-3). Factor -n*p**2 - 15*p**4 - 42*p**3 + 3 - 9*p**2 - 18*p**4 - 9*p**5 + 3*p.
-3*(p + 1)**4*(3*p - 1)
Let x(f) = 2*f**3 - 7*f**2 + 5*f - 3. Let r be x(3). Find s such that -2/3 - 2*s - 2*s**2 - 2/3*s**r = 0.
-1
Let 29*z**3 - 4*z**4 + 2*z**2 - 37*z**3 - 6*z**2 = 0. Calculate z.
-1, 0
Factor -1/3*v**2 - 4/3 + 5/3*v.
-(v - 4)*(v - 1)/3
Let u = 102 + -305/3. Suppose 5*k - 2*k - 6 = 0. Solve u*d**4 + 5/3*d - d**k - 1/3*d**3 - 2/3 = 0.
-2, 1
Let d(b) = -9*b**5 - 12*b**4 - 24*b**3 - 18*b**2 - 3*b + 6. Let y(t) = t**5 + t**4 + t**3 + t**2 + t. Let p(i) = d(i) + 12*y(i). Factor p(s).
3*(s - 2)*(s - 1)*(s + 1)**3
Let r(u) be the first derivative of 2*u**5/5 + 2*u**4 + 2*u**3 - 6. Factor r(b).
2*b**2*(b + 1)*(b + 3)
Let i(h) be the first derivative of h**3 + 3*h**2/2 - 6*h - 2. Factor i(k).
3*(k - 1)*(k + 2)
What is z in 0 + 3/8*z**2 + 3/2*z = 0?
-4, 0
Let y(h) be the second derivative of h**5/180 - h**4/72 - h**3/9 + h**2 - 2*h. Let w(q) be the first derivative of y(q). Factor w(k).
(k - 2)*(k + 1)/3
Factor -2/7*v**4 - 8/7*v**3 + 0 - 4/7*v - 10/7*v**2.
-2*v*(v + 1)**2*(v + 2)/7
Let d(x) be the first derivative of -4 - 3/7*x**2 - 4/7*x - 2/21*x**3. Factor d(q).
-2*(q + 1)*(q + 2)/7
Let a(p) = 16*p**2 + p - 4. Let d be a(4). Let h = d - 1276/5. Solve -h*s**2 + 2*s**3 + 4/5 - 2*s = 0.
-1, 2/5, 1
Let a be ((-3)/2)/(6/(-20)). Let u = 1 + a. Factor -2*q**3 + u*q**2 + 2*q + 0*q**2 - q**2 - 3*q**2 - 2.
-2*(q - 1)**2*(q + 1)
Solve 3/2*f**4 + 21/2*f + 27/2*f**3 + 0 + 45/2*f**2 = 0.
-7, -1, 0
Suppose 0 = -2*s + 19*s. Factor 1/3*g**3 + 0 + s*g + 1/3*g**5 + 0*g**2 - 2/3*g**4.
g**3*(g - 1)**2/3
Let j(h) be the second derivative of -1/6*h**4 + 0 - 1/21*h**7 + h + 3/10*h**5 + 1/15*h**6 - 2/3*h**3 + 0*h**2. Let j(q) = 0. Calculate q.
-1, 0, 1, 2
Let i be 6*(3/(-9))/(-1). Suppose -i = -5*u - 2*l, -4*l = -3*u + 5*u - 4. Factor -1/2*z**2 + u*z + 1/2.
-(z - 1)*(z + 1)/2
Suppose -17 = 3*w - 26. Let u(k) = -3*k**3 - 9*k**2 - 18*k - 3. Let j(h) = h**2 - h + 1. Let o(z) = w*j(z) - u(z). Factor o(c).
3*(c + 1)**2*(c + 2)
Suppose 0 = 22*z - 26*z. Find b such that 3/2*b**3 + z + 0*b - 3/2*b**2 = 0.
0, 1
Let n be 3/3 - (-170 - 3). Let -n*i**2 + 172*i**2 + 8*i + 3 - 9 = 0. Calculate i.
1, 3
Let g(s) be the third derivative of 0*s - 1/20*s**6 + 0 + 1/15*s**5 - s**2 + 0*s**4 + 0*s**3 + 1/105*s**7. Factor g(k).
2*k**2*(k - 2)*(k - 1)
Determine p so that 0*p + 5/4*p**3 + 5/4*p**4 - 5/4*p**2 + 0 - 5/4*p**5 = 0.
-1, 0, 1
Let k(y) be the second derivative of -y**5/10 + y**4/3 + y**3/3 - 2*y**2 + 7*y. Let k(m) = 0. Calculate m.
-1, 1, 2
Let q be 1*1/(-2)*0. Let n = -9/5 - -32/15. Suppose -2/3*m**2 + 1/3*m + n*m**3 + q = 0. Calculate m.
0, 1
Suppose 11*p + 4*p = 60. Factor -8/5*b**3 + 0 + 6/5*b**p - 2/5*b**2 + 4/5*b.
2*b*(b - 1)**2*(3*b + 2)/5
Let g(x) = x - 6. Let l be g(-6). Let r be 3 + -1 + 20/l. Factor 2/3*n**3 - n + 2/3*n**2 + r*n**5 - n**4 + 1/3.
(n - 1)**4*(n + 1)/3
Let b be -3 + 3/1 - -10. Let i be b/40 - (-62)/40. Find s, given that i*s - 2/5 - 4/5*s**2 = 0.
1/4, 2
Let h be 1 + (3 + -2 - -3). Let t be h/(-15) - (-1 + 0). Determine v, given that 4/3*v + 8*v**2 - 28/3*v**3 - t + 8*v**5 - 22/3*v**4 = 0.
-1, -1/3, 1/4, 1
Let y be 7/4 + 5/20. Let u(w) be the first derivative of -y + 25/12*w**3 - 5/2*w**2 + w. Factor u(c).
(5*c - 2)**2/4
Let p(z) be the third derivative of z**7/840 - z**6/120 - z**4/12 + 6*z**2. Let l(a) be the second derivative of p(a). Solve l(x) = 0 for x.
0, 2
Let p(q) be the third derivative of 0 - 3/20*q**5 + 0*q**3 - 1/12*q**4 - 3*q**2 + 0*q. Factor p(a).
-a*(9*a + 2)
Let f(w) be the second derivative of w**7/3360 - w**5/480 + w**3/3 - 3*w. Let m(k) be the second derivative of f(k). Factor m(n).
n*(n - 1)*(n + 1)/4
Suppose -4*s + 561 = 553. Factor 3/4*t**3 - 3*t - 3/2*t**s + 6.
3*(t - 2)**2*(t + 2)/4
Let g(z) be the third derivative of z**8/112 - z**7/35 - 3*z**6/40 - 14*z**2. Factor g(y).
3*y**3*(y - 3)*(y + 1)
Let x**2 - 4*x + x**2 + 2*x**3 - 2*x**4 + 2*x = 0. What is x?
-1, 0, 1
Let j = 8 - 6. Suppose -3*t**2 + 4 + 0*t**j + 3*t - 3*t**2 + 7*t = 0. What is t?
-1/3, 2
Factor 0*v + 1/3*v**3 + 0 + 2/3*v**2.
v**2*(v + 2)/3
Let r(s) = -s**2 - 6*s + 7. Let k be r(-7). Factor k*c + 1/7*c**3 + 0*c**2 + 0 + 1/7*c**4.
c**3*(c + 1)/7
Let b(c) be the second derivative of -c**5/30 + c**4/9 + c**3/9 - 2*c**2/3 - 4*c. Solve b(t) = 0 for t.
-1, 1, 2
Let r be 3 - (-1 - -1)/(-3). Let p be 1/(-2) + -2 + r. Factor -3/2*h**2 - p + 1/2*h**3 + 3/2*h.
(h - 1)**3/2
Let a(r) = 2*r**2. Let f be (-22)/(-3) + (-2)/(-3). Let l(h) = 2*h**2 + 3*h**2 - 22 + 22. Let m(o) = f*a(o) - 3*l(o). Factor m(j).
j**2
Let w(r) be the first derivative of -r**2 + 3 - 1/10*r**5 - r**3 - 1/2*r**4 - r. Let k(f) be the first derivative of w(f). Find s such that k(s) = 0.
-1
Let u = 371 + -1481/4. Let u*o**5 - 1/2*o**3 + 0 - 1/4*o - o**2 + o**4 = 0. What is o?
-1, -1/3, 0, 1
Let r(d) = 19*d**2 - 45*d + 17. Let k(p) = 5*p - 5*p**2 + 3*p + 3*p - 4. Let u(i) = 9*k(i) + 2*r(i). Factor u(a).
-(a - 1)*(7*a - 2)
Suppose -s - 4*d + 2 = 0, 2*d + 6 = 3*s - d. Let 6/5*r**3 + 3/5 + 0*r**s - 3/5*r**4 - 6/5