 - 49/2*h**f - 16*h.
-(h - 1)*(7*h - 2)**2/2
Let w(l) be the first derivative of l - 27/5*l**5 + 9*l**4 - 2*l**3 - 2*l**2 + 2. Let w(c) = 0. Calculate c.
-1/3, 1/3, 1
Let v = -3/22 - -53/66. Let k = v - 4/15. Find b such that 0 + k*b**2 + 1/5*b + 1/5*b**3 = 0.
-1, 0
Suppose -h + 1 = 0, 5*b - 8 = -2*h + 4. Let c(r) be the third derivative of -1/30*r**5 + 1/3*r**3 + 0 + 0*r + 0*r**4 - b*r**2. Factor c(v).
-2*(v - 1)*(v + 1)
Let z(c) be the first derivative of -5*c**3/3 - 5*c**2 - 20. Factor z(b).
-5*b*(b + 2)
Let h(u) be the third derivative of u**8/6720 + u**7/3360 - u**6/1440 - u**5/480 + u**3/2 - 4*u**2. Let f(v) be the first derivative of h(v). Solve f(a) = 0.
-1, 0, 1
Let o = -842/5 + 169. Let u(r) be the first derivative of -4/5*r**3 + 9/25*r**5 + o*r - 3/10*r**4 + 2 + 0*r**2 + 1/5*r**6. Suppose u(y) = 0. Calculate y.
-1, 1/2, 1
Let f = 17/75 - 2/75. Let b(k) be the first derivative of -4/15*k**6 - 2 + 2/5*k - f*k**4 + 6/5*k**2 - 18/25*k**5 + 16/15*k**3. Determine t so that b(t) = 0.
-1, -1/4, 1
Let f(r) = 4*r**4 + 8*r**3 + 12*r**2 + 7*r - 1. Let i(x) = 3*x**4 + 7*x**3 + 11*x**2 + 7*x. Let w(g) = 2*f(g) - 3*i(g). Find c, given that w(c) = 0.
-2, -1
Let u(m) = -3*m - 1 + m + 8*m**2 - 3. Let t(k) = k**2 - 10*k + 3. Let p be t(9). Let w(x) = -x**2. Let b(q) = p*w(q) - u(q). What is g in b(g) = 0?
-1, 2
Let r(u) = u + 7. Let q be r(-5). Let c(x) = 3*x**2 + 7*x + 4. Let j(o) = -o**2 - 2*o - 1. Let b(g) = q*c(g) + 7*j(g). Factor b(i).
-(i - 1)*(i + 1)
Let q = -17/2 - -37/4. Factor 0 - 1/4*g**2 + 1/4*g**5 + 0*g + 3/4*g**3 - q*g**4.
g**2*(g - 1)**3/4
Let n(p) = 3*p**3 + 9*p**2 + 5*p - 5. Let t(r) = 2*r**3 + 4*r**2 + 2*r - 2. Let l(f) = 4*n(f) - 10*t(f). Determine b, given that l(b) = 0.
-1/2, 0
Let n(g) = -2*g**3 + 8*g**2 + 7*g + 6. Let x(w) = -5*w**3 + 17*w**2 + 14*w + 13. Let f(m) = -14*n(m) + 6*x(m). Factor f(y).
-2*(y + 1)**2*(y + 3)
Let l(o) = -9*o**2 - 33*o - 11. Let i = -10 + 8. Let a(t) = 3*t**2 + 11*t + 4. Let r(n) = i*l(n) - 7*a(n). Factor r(g).
-(g + 3)*(3*g + 2)
Factor 4/5*r - 6/5*r**2 + 2/5*r**3 + 0.
2*r*(r - 2)*(r - 1)/5
Suppose 40 = -10*s + 60. Factor 0*h**s + 0*h + 1/3*h**3 + 0 - 1/3*h**4.
-h**3*(h - 1)/3
Let m(l) be the first derivative of -l**6/12 - l**5/5 + 7*l**4/8 - 2*l**3/3 - 8. Suppose m(f) = 0. Calculate f.
-4, 0, 1
Let u(l) = -18*l**3 + 45*l**2 - 29*l + 9. Let b(p) = 6*p**3 - 15*p**2 + 10*p - 3. Let f(j) = 7*b(j) + 2*u(j). Solve f(h) = 0.
1/2, 1
Determine z so that -7*z**4 - z**4 + 7*z**3 - z**4 + 5*z**3 - 3*z**2 = 0.
0, 1/3, 1
Factor 3*p**3 + 16*p - 16*p**2 + 5*p**4 - 3*p**3 - 4*p**3 - p**4.
4*p*(p - 2)*(p - 1)*(p + 2)
Let i = -18783 - -1033237/55. Let v = i + -30/11. Let 2/5*b + v*b**3 + 0 + 4/5*b**2 = 0. What is b?
-1, 0
Let p = 4 - 6. Let u be (p + 2 + 1)*3. Determine r, given that r**3 + u*r**5 - 6*r**5 - r**4 + 2*r**5 + r**2 = 0.
-1, 0, 1
Let l(s) be the second derivative of 9*s**7/14 - 7*s**6/10 - 3*s**5/10 - 16*s. Factor l(o).
3*o**3*(o - 1)*(9*o + 2)
Suppose -4*a + 20 = 5*g, 4 + 16 = 3*a + 5*g. Suppose -2*q - 2*q + 8 = a. Factor -4*p + p**3 - 6*p**2 + 2*p**3 + 2*p**q.
p*(p - 2)*(3*p + 2)
Let f(i) be the third derivative of i**5/15 - 3*i**2. Solve f(s) = 0 for s.
0
Suppose 0*h + 0 + 1/6*h**3 + 1/6*h**2 - 1/6*h**5 - 1/6*h**4 = 0. Calculate h.
-1, 0, 1
Let j(m) = -m**2 + 7*m - 9. Let i be j(4). Let b be 0 + i - (-6)/(-4). Determine q, given that -b*q + 0 + 3/2*q**2 = 0.
0, 1
Let v(a) be the third derivative of a**8/1680 + a**7/840 + 7*a**3/6 + a**2. Let s(x) be the first derivative of v(x). Find d, given that s(d) = 0.
-1, 0
Let y(w) be the first derivative of w**7/1260 + w**6/540 + 5*w**3/3 - 3. Let k(z) be the third derivative of y(z). Solve k(j) = 0.
-1, 0
What is p in -3*p + 2*p + 8 - 14*p**2 - 20*p**3 + 3*p - 6*p**4 + 6*p = 0?
-2, -1, 2/3
Factor 0*p + 10 - 5/2*p**2.
-5*(p - 2)*(p + 2)/2
What is u in 5/3*u**2 + 0 - u**4 + 2/3*u - 4/3*u**3 = 0?
-2, -1/3, 0, 1
Find i, given that 1/6*i**4 + 0*i**2 + 0 + 1/6*i**3 + 0*i = 0.
-1, 0
Suppose -10*u + 32 + 28 = 0. Factor -49/4*t**5 + t**2 + 0*t + 21/4*t**4 + u*t**3 + 0.
-t**2*(t - 1)*(7*t + 2)**2/4
Suppose 0 = -5*a + 5 - 30. Let w be (-2)/4 + a/(-2). Factor -2/7*r**w + 4/7*r + 0.
-2*r*(r - 2)/7
Let l(s) = -5*s**4 + 2*s**3 + 2*s**2 + s - 3. Let f(m) = -26*m**4 + 10*m**3 + 10*m**2 + 6*m - 16. Suppose c + 0 = -3. Let k(t) = c*f(t) + 16*l(t). Factor k(p).
-2*p*(p - 1)**2*(p + 1)
Let z(x) be the first derivative of -7*x**4/16 - 5*x**3/6 + x**2/8 + x + 18. Solve z(w) = 0 for w.
-1, 4/7
Factor -1/4 + 3*y**3 + 3/2*y - 13/4*y**2 - y**4.
-(y - 1)**2*(2*y - 1)**2/4
Let a = 3212/7 + -458. Suppose -2/7*s + a*s**2 + 0 = 0. What is s?
0, 1/3
Let w = 8036/11 - 730. Suppose 4/11*n + w - 10/11*n**2 = 0. What is n?
-3/5, 1
Let j(s) = 0*s + 1 + 53*s**3 - s**2 + s - s**5 - 54*s**3. Let h(p) = -8*p**5 + 4*p**3 - 4*p**2 + 4. Let z(w) = -h(w) + 4*j(w). Factor z(v).
4*v*(v - 1)**2*(v + 1)**2
Let p(w) = 76*w**4 - 44*w**3 - 195*w**2 - 81*w - 10. Let b(q) = 75*q**4 - 45*q**3 - 195*q**2 - 80*q - 10. Let x(r) = -4*b(r) + 5*p(r). Solve x(m) = 0 for m.
-1, -1/4, 2
Factor -2/3*o**4 + 0 - 16/3*o**2 - 8/3*o - 10/3*o**3.
-2*o*(o + 1)*(o + 2)**2/3
Let q(s) be the third derivative of s**7/1050 + 7*s**6/1800 + s**5/300 - s**4/120 - 4*s**3/3 - s**2. Let a(o) be the first derivative of q(o). Factor a(c).
(c + 1)**2*(4*c - 1)/5
Suppose -s + 3 = -0. Suppose -s*l = -4*l. Let 0*x + 1/3*x**4 - 2/3*x**3 + 2/3*x**5 + l - 1/3*x**2 = 0. What is x?
-1, -1/2, 0, 1
Let p be (-7)/(-7) - 1/(-1). Let 4 + 7*g - 6*g**p + 14*g**2 + 3*g**3 - 2 = 0. What is g?
-1, -2/3
Let d be 24/6 - (0 + 20/6). Factor -d*a - 2/9 + 2/9*a**2 + 2/3*a**3.
2*(a - 1)*(a + 1)*(3*a + 1)/9
Find v such that 1/2*v**4 - 13/6*v**3 + 1/3 + 19/6*v**2 - 11/6*v = 0.
1/3, 1, 2
Suppose 0 = i + 5*f - 14, 1 - 4 = -f. Let q be 10/120 - i/4. Factor 1/3 - q*s**2 + 0*s.
-(s - 1)*(s + 1)/3
Let t(z) be the first derivative of -3*z**4/4 + 3*z**3 + 6*z**2 + 29. Factor t(s).
-3*s*(s - 4)*(s + 1)
Let i(c) be the third derivative of 0 - 4*c**2 + 1/12*c**3 - 1/96*c**4 - 1/240*c**5 + 0*c. Factor i(l).
-(l - 1)*(l + 2)/4
Let y(j) be the first derivative of -3/8*j**4 + 3/4*j**2 - 1 - 1/2*j - 1/6*j**3 + 1/5*j**5. Factor y(o).
(o - 1)**2*(o + 1)*(2*o - 1)/2
Let n(y) be the third derivative of y**9/15120 + y**8/6720 - y**4/24 + 3*y**2. Let i(b) be the second derivative of n(b). Let i(j) = 0. What is j?
-1, 0
Let s be 96/(-80)*(-10)/3. Factor -2/5 + 0*p**2 + 2/5*p**s + 4/5*p - 4/5*p**3.
2*(p - 1)**3*(p + 1)/5
Let r be (-1)/((5/(-2))/5). Let a(z) be the second derivative of 1/15*z**6 + 0*z**r + 1/3*z**3 + 0 - 3*z - 1/6*z**4 - 1/10*z**5. Find p, given that a(p) = 0.
-1, 0, 1
Let s = 113/165 + -1/55. Find k, given that 0 - s*k**3 + 4/3*k**4 - 2/3*k**5 + 0*k**2 + 0*k = 0.
0, 1
Find o, given that 65*o**4 - 150*o**3 + 64*o**5 - 25*o**2 + 40*o + 30*o**4 - 35*o**2 + 11*o**5 = 0.
-2, -2/3, 0, 2/5, 1
Let n(i) = -i**3 + 9*i**2 + 6*i + 2. Let w(c) = 4*c**3 - 44*c**2 - 30*c - 10. Let j(t) = 28*n(t) + 6*w(t). Factor j(b).
-4*(b + 1)**3
Let h(k) = 5*k + 13. Let v be h(-2). Let c(n) be the first derivative of -2/5*n**5 + 0*n + n**2 + 3 - 1/2*n**4 + 2/3*n**v. Factor c(w).
-2*w*(w - 1)*(w + 1)**2
Let g be (-8)/(-100)*(8 - 3). Solve -g*x**2 + 2/5 + 0*x = 0 for x.
-1, 1
Let y(k) = 2*k**4 - 8*k**3 - 2*k**2 + 8*k. Let t(i) = 4*i**4 - 17*i**3 - 4*i**2 + 17*i. Let p(c) = 4*t(c) - 9*y(c). Factor p(q).
-2*q*(q - 2)*(q - 1)*(q + 1)
Let g(y) be the second derivative of 0*y**3 - 5*y + 0*y**2 + 0*y**5 + 0 + 1/30*y**6 - 1/42*y**7 + 0*y**4. Solve g(h) = 0.
0, 1
Suppose -2 = -g + 3*f, 3*g + 5*f - 17 = 3. Solve -2/3*b**4 + 0 - 2*b**3 + 4/3*b + 2/3*b**2 + 2/3*b**g = 0 for b.
-1, 0, 1, 2
Let f be (-6)/(-18) + (-20)/(-87). Let h = f - -3/29. Find i, given that -2/3*i + 2/3*i**3 - 2/3*i**4 + 0 + h*i**2 = 0.
-1, 0, 1
Suppose -5*u + 6 = -3*u. Let h be 0/(-2) - (9 - (-222)/(-24)). Determine m so that -h*m - 1/4*m**u + 0 - 1/2*m**2 = 0.
-1, 0
Let o(t) = -t**3 - 4*t**2 + 5*t + 3. Let k be o(-5). Factor 2/5*i**k + 0*i + 2/5*i**2 + 0.
2*i**2*(i + 1)/5
Let p be 0 - 3 - (5 + 7). Let y be ((-7)/12)/(5/p). Let 5/4*v**2 + 1/2 - 9/4*v**3 - y*v**4 + 9/4*v = 0. Calculate v.
-1, -2/7, 1
Let y = -64 - -66. Let w(t) be the third derivative of 0*t**3 + 0 - 1/105*t**7 + 1/30*t**5 + t**y + 0*t**6 + 0*t**4 + 0*t. Factor w(r).
-2*r**2*(r - 1