*h - 6*h - 12*h**2 + 33*h**4 + 2*h**5 + 8*h**3 = 0.
-5, -1, 0, 1
Let o(q) be the second derivative of -7*q**4/24 + q**3/3 + 3*q**2/4 + 9*q. Factor o(x).
-(x - 1)*(7*x + 3)/2
Suppose -9/7*s**3 + 3/7*s**2 + 9/7*s**4 + 0 + 0*s - 3/7*s**5 = 0. Calculate s.
0, 1
Let r be (4 + 0)/(6/3). Let w(l) = l**4 + l**3 + 1. Let x(a) = -a**4 - a**3 - a**2 - a - 2. Let g(t) = r*w(t) + x(t). Find i, given that g(i) = 0.
-1, 0, 1
Let a(o) be the second derivative of -o**9/83160 + o**8/18480 - o**7/13860 - o**4/12 + 8*o. Let h(t) be the third derivative of a(t). Factor h(v).
-2*v**2*(v - 1)**2/11
Let 3*w + 0*w**3 + 12*w**3 + 3*w**3 + 6*w**4 + 3*w**2 + 9*w**2 = 0. Calculate w.
-1, -1/2, 0
Suppose 2*t + 10 = -4*w, 3*w + 9 = -3. Solve -y - 4*y**3 + 5*y**t + 0*y**3 = 0.
-1, 0, 1
Suppose -2228*g = -2238*g + 20. Factor 4/9*a**g + 0 + 2/3*a**4 + 14/9*a**3 + 0*a.
2*a**2*(a + 2)*(3*a + 1)/9
Let f = -3 - 2. Let b(n) = -4*n**4 + 5*n**3 + 7*n**2 + 8*n - 5. Let r(u) = 2*u**4 - 3*u**3 - 3*u**2 - 4*u + 3. Let p(g) = f*r(g) - 3*b(g). Factor p(z).
2*z*(z - 2)*(z + 1)**2
Suppose -a - 2*m = -3*m, 3*a - 5*m - 6 = 0. Let i(l) = -3*l**2 - 4*l - 2. Let f(b) = -4*b**2 - 5*b - 3. Let x(w) = a*i(w) + 2*f(w). Factor x(d).
d*(d + 2)
Let s(q) be the second derivative of -q**6/60 - q**5/20 + 20*q. Factor s(p).
-p**3*(p + 2)/2
Let m be -3 + ((-15)/(-3) - 0). Determine p, given that 1/4*p**m + 0 + 3/4*p = 0.
-3, 0
Suppose 3*m - 9 = -3*z, -3*z + 4*z = -4*m + 9. Let o be m/(15*(-1)/(-3)). Factor 4/5 - o*i**2 - 2/5*i.
-2*(i - 1)*(i + 2)/5
Let a = -24 + 29. Let p(i) be the third derivative of i**2 + 0 + 0*i**4 + 1/270*i**a + 0*i**3 + 0*i. What is m in p(m) = 0?
0
Let z(i) be the second derivative of 1/24*i**3 + 0*i**2 + 0 + 1/20*i**5 - 3*i - 5/48*i**4. Factor z(a).
a*(a - 1)*(4*a - 1)/4
Determine s so that -3/7*s**2 + 12/7*s - 9/7 = 0.
1, 3
Suppose -3*m + 30 = 2*m. Factor m*u + u**2 + 0*u - 3*u + 2*u**2.
3*u*(u + 1)
Let q(f) = f**3 - 5*f**2 - 6*f - 5. Let w(i) = i**3 - 6*i**2 - 7*i - 6. Suppose -r = -0*r - 3. Suppose -9 = -r*n + 9. Let o(y) = n*q(y) - 5*w(y). Factor o(d).
d*(d - 1)*(d + 1)
Let t(i) be the first derivative of 1/15*i**3 + 0*i**2 + 0*i - 2. Solve t(b) = 0 for b.
0
Let y be 0 - (1/(-4) - -3 - 3). Find c, given that 1/2*c - y*c**2 - 1/4 = 0.
1
Let n be (6/(-4)*-2)/(-1). Let o be (n/9*0)/2. Solve g**3 + g - 2*g + o*g**3 = 0.
-1, 0, 1
Let b = -143 - -1431/10. Let m(o) be the first derivative of 0*o - 3/8*o**4 + b*o**5 + 1/2*o**3 + 2 - 1/4*o**2. Determine n, given that m(n) = 0.
0, 1
Let o = 8 + -6. Factor -13*a - a**5 - a**3 + 13*a + o*a**4.
-a**3*(a - 1)**2
Let q(h) be the second derivative of -h**5/120 + h**4/72 + h**3/18 - 11*h. Factor q(v).
-v*(v - 2)*(v + 1)/6
Let u(s) be the first derivative of -2*s**3/3 - s**2 + 4*s - 6. Let u(p) = 0. What is p?
-2, 1
Let s(t) be the second derivative of t**4/48 - t**3/6 + t**2/2 - 7*t. Find z such that s(z) = 0.
2
Let s(p) be the third derivative of -1/420*p**7 - 1/48*p**4 + 1/120*p**5 + 0 + 0*p + 0*p**3 + 1/240*p**6 - 4*p**2. What is g in s(g) = 0?
-1, 0, 1
Suppose 0 = -q + 3*q. Let o(r) be the second derivative of 3/5*r**5 - 3/25*r**6 - 4/5*r**2 - 37/30*r**4 + q + 2*r + 4/3*r**3. Suppose o(g) = 0. Calculate g.
2/3, 1
Let s be (-3)/(-2)*4/6. Let a = s - -3. Determine h, given that -3*h**2 + a*h**2 - 2*h**2 = 0.
0
Let a(l) be the third derivative of -l**5/72 + 5*l**4/144 + 5*l**3/6 - 20*l**2. Factor a(u).
-5*(u - 3)*(u + 2)/6
Let j(a) = -26*a**2 - 17*a + 17. Let i(f) = 9*f**2 + 6*f - 6. Let m(l) = -17*i(l) - 6*j(l). Determine x, given that m(x) = 0.
0
Let q(a) be the first derivative of 2/35*a**5 + 0*a + 2/7*a**3 + 3/14*a**4 - 5 + 1/7*a**2. Factor q(k).
2*k*(k + 1)**3/7
Let k(b) be the first derivative of 9*b + 3*b**3 + 6*b**2 + 5 - 4*b**3 + 2*b**3. Factor k(f).
3*(f + 1)*(f + 3)
Suppose -5*u + 3*d - 4*d = -18, -4*d - 8 = 0. Suppose 0*f = u*f. Suppose -2/3*l**4 - 2/3*l**3 + 0*l**2 + 0 + f*l = 0. Calculate l.
-1, 0
Factor -503*b + 5*b**2 - 15 + 0*b**2 + 513*b.
5*(b - 1)*(b + 3)
Let b(r) = r**3 + 6*r**2 - 8*r - 7. Let j be b(-7). Determine u, given that j*u - 3*u + u + 2*u**2 - 2*u = 0.
0, 2
Let r(w) be the first derivative of -1 + w**3 + 3/2*w**2 + 1/4*w**4 + w. Suppose r(x) = 0. What is x?
-1
Factor 3*d**2 - 16*d - 2*d - 4 + 31 + 0*d.
3*(d - 3)**2
Let a(r) be the third derivative of r**5/60 + r**4/24 - 7*r**2. Let a(h) = 0. What is h?
-1, 0
Let m(g) = 4*g**2 - 42*g - 282. Let r(o) = o**2 + o + 1. Let d(y) = -m(y) + 6*r(y). Factor d(h).
2*(h + 12)**2
Let t(r) be the third derivative of -r**8/10080 - r**7/5670 + r**6/3240 - r**4/8 - 9*r**2. Let k(h) be the second derivative of t(h). Factor k(s).
-2*s*(s + 1)*(3*s - 1)/9
Let i(n) = -n**3 + 16*n**2 - 14*n - 12. Let l be ((-3)/(-3))/(-2)*-30. Let m be i(l). Factor 1/4*o + 1/4*o**m + 1/2*o**2 + 0.
o*(o + 1)**2/4
Let s = 5348/11 - 486. Factor 0*u**2 + 4/11*u**3 - 2/11*u**4 + s - 4/11*u.
-2*(u - 1)**3*(u + 1)/11
Let l be 60 + -69 + 46/4. Find m, given that -1/4*m**5 + 5/2*m**2 + 5/4*m**4 - 5/4*m - l*m**3 + 1/4 = 0.
1
Let h be 2/4 + ((-760)/(-112) - 7). Let 2/7*a**2 + 2/7*a**3 - 2/7*a - h = 0. What is a?
-1, 1
Let y(o) be the third derivative of -1/132*o**4 + 1/330*o**5 + 0 + 0*o - 2/33*o**3 + 4*o**2. Factor y(i).
2*(i - 2)*(i + 1)/11
Let n(q) be the first derivative of q**6/45 - q**5/15 - q**4/6 + 4*q**3/9 + 4*q**2/3 - 3*q + 2. Let m(j) be the first derivative of n(j). Factor m(h).
2*(h - 2)**2*(h + 1)**2/3
Factor 4/5 + 8/5*r**2 - 2/5*r**3 - 2*r.
-2*(r - 2)*(r - 1)**2/5
Let v(q) be the third derivative of -q**5/270 - q**4/27 - 4*q**3/27 - 13*q**2. Factor v(r).
-2*(r + 2)**2/9
Let t(i) = i**2 + 6*i + 7. Let x be t(-5). Factor 2*z - 6 + 4*z + 0*z**2 - z**x - 3.
-(z - 3)**2
Let r(s) = 11 + 10*s + s + s**2 + s - 3*s. Let d be r(-8). Solve 4/3*p - 2*p**d + 0 + 2/3*p**2 = 0 for p.
-2/3, 0, 1
Let q(o) be the third derivative of o**9/60480 - o**8/6720 + o**7/1680 - o**6/720 - 3*o**5/20 - 7*o**2. Let a(c) be the third derivative of q(c). Factor a(m).
(m - 1)**3
Let x(y) be the first derivative of 7 - 3*y**3 - 1 + 2*y**3. Determine q so that x(q) = 0.
0
Let x be 1/2*4 + -2. Factor 5/4*d**5 + 1/2*d**2 + 0*d - 2*d**4 + 1/4*d**3 + x.
d**2*(d - 1)**2*(5*d + 2)/4
Let s(z) = z - 8. Let y be s(8). Let q be 1/3 + y/(-4). Suppose -1/3*t**5 + 1/3*t**3 - q*t**2 + 0 + 0*t + 1/3*t**4 = 0. What is t?
-1, 0, 1
Let 16*x**2 + 11 + 4*x**5 + 2*x + 24*x**3 + 2*x - 11 + 16*x**4 = 0. What is x?
-1, 0
Let j(x) be the first derivative of 64*x**5/35 - 72*x**4/7 + 108*x**3/7 - 8*x**2 + 12*x/7 - 34. Determine p, given that j(p) = 0.
1/4, 1, 3
Let j(s) be the first derivative of -s**5/270 - s**4/108 + 2*s**3/27 + 3*s**2 - 3. Let f(n) be the second derivative of j(n). Factor f(r).
-2*(r - 1)*(r + 2)/9
Let q(r) be the third derivative of 0*r**3 + 4*r**2 + 0 + 0*r - 1/60*r**6 + 0*r**4 + 0*r**5. Let q(i) = 0. What is i?
0
Let q(s) be the third derivative of -s**5/120 - s**4/8 - 5*s**3/12 - 6*s**2. Solve q(g) = 0 for g.
-5, -1
Let q = 7 + -5. What is x in -3*x - q*x**5 + 6*x**2 - 3*x**4 + x**5 - 3*x**4 + 4*x**5 = 0?
-1, 0, 1
Suppose -15 = -4*a + g + 4*g, a + 5*g + 15 = 0. Let u(w) be the third derivative of 1/42*w**4 + a*w - 1/21*w**3 - 1/210*w**5 + 2*w**2 + 0. Factor u(z).
-2*(z - 1)**2/7
Suppose 3*n + r + 27 = 36, -5*n + 15 = 3*r. Determine l, given that -1/3*l + 1/3*l**2 - 1/3*l**4 + 1/3*l**n + 0 = 0.
-1, 0, 1
Let v(u) = -110*u - 220. Let t be v(-2). Solve t + 0*n + 1/3*n**3 - 1/6*n**4 - 1/6*n**2 = 0 for n.
0, 1
Let c be (-66)/(-15) - (-2)/(-5). Let b be 2/c*(8 - 2). Determine u, given that 3 - 3 - 2*u**b - 8*u**2 - 8*u = 0.
-2, 0
Let l = 436/645 + -2/215. Factor -2/3*z**3 + l - 2/3*z**2 + 2/3*z.
-2*(z - 1)*(z + 1)**2/3
Let l(a) be the first derivative of -a**5 + 5*a**4/2 + 20*a**3/3 - 20*a**2 - 9. Solve l(w) = 0.
-2, 0, 2
What is a in 0 - 3/2*a + 3/2*a**2 = 0?
0, 1
Factor 0 + 2/5*n**3 - 6/5*n**2 + 4/5*n.
2*n*(n - 2)*(n - 1)/5
Let g be 2/11 + (-30)/165. Let h(a) be the third derivative of 0*a + g*a**4 + 1/40*a**5 - a**2 + 0*a**3 - 1/140*a**7 + 0 + 0*a**6. Factor h(z).
-3*z**2*(z - 1)*(z + 1)/2
Suppose -2*p + 27 = p. Suppose -5*i = -p*i. Factor -4/3*v**2 + 14/3*v**3 + 0 - 10/3*v**4 + i*v.
-2*v**2*(v - 1)*(5*v - 2)/3
Factor 0*s**3 + 2/15*s**4 - 4/5*s**2 - 16/15*s - 2/5.
2*(s - 3)*(s + 1)**3/15
Let i = 5 + -3. Suppose -5*x - 4*t + 34 = 0, 2*x 