**5 + 1/2*h**3 = 0.
-1, 1
Let c(x) be the first derivative of 3*x**4 - 4*x**3 + 2*x**2 - 8*x - 4. Let z(a) be the first derivative of c(a). Solve z(m) = 0.
1/3
Suppose 3*g = 13 + 53. Let q be 16/g*(-5)/(-20). Factor -18/11*d**3 - 4/11*d + 10/11*d**4 - q*d**5 + 0 + 14/11*d**2.
-2*d*(d - 2)*(d - 1)**3/11
Let n(q) be the second derivative of q**5/5 + 4*q**4/3 + 10*q**3/3 + 4*q**2 + 8*q. Factor n(m).
4*(m + 1)**2*(m + 2)
Let h(u) be the second derivative of -1/10*u**5 - u**3 - u**2 - 1/2*u**4 - 4*u + 0. What is q in h(q) = 0?
-1
Let o = -1/84 + 25/84. Let q be (2 - (2 - -4)) + 4. Factor -2/7*y - o*y**3 + q + 4/7*y**2.
-2*y*(y - 1)**2/7
Factor -40*v**3 + 45*v**2 - 37*v**2 + 48*v**4 + 2*v**4.
2*v**2*(5*v - 2)**2
Let a(b) = b**3 - 11*b**2 + 8*b + 23. Suppose -12 = -4*p + 28. Let w be a(p). Factor 0 + 0*d - 1/3*d**4 - 1/3*d**w + 2/3*d**2.
-d**2*(d - 1)*(d + 2)/3
Let z(q) = -4*q - 5. Let v be z(-3). What is f in v*f - 4*f**2 + 6*f**2 + 2 - 4*f + f = 0?
-1
Let l(n) = 168*n**3 + 78*n**2 - 87*n + 12. Let b(z) = 84*z**3 + 39*z**2 - 43*z + 6. Let v(d) = 9*b(d) - 4*l(d). Find c such that v(c) = 0.
-1, 1/4, 2/7
Let t = 422/5 + -84. Let a be 9/(-5) + (-2 - -4). Factor -t*h - a*h**2 + 0.
-h*(h + 2)/5
Determine l, given that -l**3 + 3*l + 13*l**2 + 21 - 6*l**3 - 39 + l**4 = 0.
-1, 2, 3
Let l(b) be the third derivative of -1/18*b**4 + 0 - 1/45*b**6 + 0*b**3 + 0*b + 1/315*b**7 + 1/18*b**5 - 2*b**2. Factor l(q).
2*q*(q - 2)*(q - 1)**2/3
Let v(a) = -a**2 + a + 3. Let t(j) = -2*j**2 + j + 6. Suppose -k + 0 + 5 = 0. Let b(n) = k*v(n) - 3*t(n). Factor b(o).
(o - 1)*(o + 3)
Suppose 5*j - c = -1 + 47, 3*c = 3*j - 30. Solve 2*n**3 + n**2 - 8*n**4 + j*n**4 + 3 - 3 = 0 for n.
-1, 0
Suppose n - 6 = -2*h, 6*h - 8 = 2*h. Factor 11*a**3 + a**n + 4*a**2 - 3*a**2.
a**2*(11*a + 2)
Factor 8/3*n**3 + 4*n**2 + 0*n - 4/3.
4*(n + 1)**2*(2*n - 1)/3
Suppose -2*v + 5 = j - 0*v, 2*v + 4 = 2*j. Factor -2*m + 8*m**j - 10*m**3 + 2*m.
-2*m**3
Let o = 6 + -4. Suppose -4*b = -6*b. Factor b*j - 2/3*j**3 + 0 + 2/3*j**o.
-2*j**2*(j - 1)/3
Let 0*d + 2/7*d**3 + 0 + 0*d**2 = 0. Calculate d.
0
Suppose 0 = 15*y + 40 - 115. Find q such that -3/2*q**y - 6 + 3/2*q**4 - 12*q - 3/2*q**2 + 15/2*q**3 = 0.
-1, 2
Let c(z) = -15*z**5 + 50*z**4 + 70*z**3 + 5*z**2 - 25*z - 25. Let g(h) = h**3 + h**2 - h - 1. Let r(v) = -c(v) + 25*g(v). Solve r(d) = 0 for d.
-1, 0, 1/3, 4
Factor -2/19*z**3 + 0*z + 0 + 4/19*z**2.
-2*z**2*(z - 2)/19
Let q(s) be the third derivative of -s**7/42 + s**6/6 - s**5/4 - 5*s**4/6 + 10*s**3/3 + 3*s**2. Factor q(d).
-5*(d - 2)**2*(d - 1)*(d + 1)
Let g be 112/(-24)*(-6)/(-4). Let t be (g/(-9))/7*3. Find a, given that -1/3*a**4 + 0 + 0*a + t*a**2 + 0*a**3 = 0.
-1, 0, 1
Find n such that -6 - 150*n**4 - 150*n**5 - 6*n + 123/2*n**3 + 123/2*n**2 = 0.
-1, -1/2, -2/5, 2/5, 1/2
Let g(f) be the third derivative of -f**7/140 - f**6/80 - 35*f**2. Let g(b) = 0. Calculate b.
-1, 0
Factor 8/7 - 2/7*x**3 - 16/7*x + 10/7*x**2.
-2*(x - 2)**2*(x - 1)/7
Let j be 4/(18/3 - 4). Determine y so that 0*y**2 - y**2 + j*y**2 = 0.
0
Let k(b) be the third derivative of 5*b**7/42 + b**6/2 - b**5/12 - 5*b**4/2 - 10*b**3/3 - 14*b**2. Find g, given that k(g) = 0.
-2, -1, -2/5, 1
Let y(g) = -g. Let l(r) = 4*r**3 - 1. Let i(v) = l(v) + 3*y(v). Factor i(h).
(h - 1)*(2*h + 1)**2
Suppose 9*y = 11*y. Let n(x) be the second derivative of -1/42*x**4 + 1/21*x**3 + y + 2*x + 0*x**2. Factor n(w).
-2*w*(w - 1)/7
Let w(x) be the first derivative of -x**6/27 + x**4/6 - 4*x**3/27 - 20. Determine u, given that w(u) = 0.
-2, 0, 1
Let z(h) = -3*h**2 + 7*h - 2. Let y(f) = f**2 - f + 1. Let p(s) = -4*y(s) - z(s). Factor p(w).
-(w + 1)*(w + 2)
Let r(v) = v**2 + 12*v. Let x(l) = -9*l**2 - 96*l. Let s(k) = 33*r(k) + 4*x(k). Factor s(c).
-3*c*(c - 4)
Let u(k) be the second derivative of -k**7/6720 - k**6/2880 + k**3/6 + 9*k. Let c(x) be the second derivative of u(x). Factor c(z).
-z**2*(z + 1)/8
Let m = -16 - -31. Suppose -j = 4*j - m. Let -w + 0 - w**j + 2 + 4*w**2 - 4*w = 0. What is w?
1, 2
Factor -4*w + 49/2*w**4 - 35*w**3 - 26*w**2 + 0.
w*(w - 2)*(7*w + 2)**2/2
Let i(w) be the third derivative of w**9/7560 - w**8/2100 + w**6/450 - w**5/300 - w**3/6 - 4*w**2. Let j(m) be the first derivative of i(m). Factor j(h).
2*h*(h - 1)**3*(h + 1)/5
Let a(q) = -q**2 + 5*q. Suppose -4*x = g - 11 + 3, g - 1 = 3*x. Let h(y) = -3*y**2 + 14*y. Let b(f) = g*h(f) - 11*a(f). Factor b(d).
-d*(d - 1)
Suppose -n + 4 = -0*n. Suppose n*z = 35 - 7. Determine t so that -4*t**3 + 4*t**5 + 4*t**3 + 2*t**2 - z*t**4 + t**4 = 0.
-1/2, 0, 1
Let s(w) be the first derivative of -w**3/3 - w**2/2 + 3. Factor s(j).
-j*(j + 1)
Let y(i) be the second derivative of 0*i**5 + 0*i**3 - 1/30*i**6 - 4*i + 0 + 0*i**2 + 1/12*i**4. Factor y(p).
-p**2*(p - 1)*(p + 1)
Factor 6*k**4 + 7*k**2 + 2*k**3 - 5*k**4 + 2*k - 4*k**4.
-k*(k - 2)*(k + 1)*(3*k + 1)
Let g = 2/162985 - 197048879/1140895. Let a = 173 + g. Factor 2/7*k**3 + a*k + 0 + 4/7*k**2.
2*k*(k + 1)**2/7
Let i(c) be the third derivative of -c**7/210 + c**6/60 - c**4/12 + c**3/6 + 28*c**2. Factor i(m).
-(m - 1)**3*(m + 1)
Let j(l) = l**2 - 3*l + 3. Let w be j(3). Suppose -r = -w*r. Solve -6*p**4 - 2*p**3 + 0*p**3 - 4*p**5 + r*p**3 = 0.
-1, -1/2, 0
Let q(m) be the first derivative of -2*m**6/3 + 8*m**5/5 + 2*m**4 - 16*m**3/3 - 2*m**2 + 8*m + 1. What is l in q(l) = 0?
-1, 1, 2
Let b(y) be the second derivative of 0 - 3*y - 1/12*y**4 - y**2 + 1/2*y**3. Factor b(r).
-(r - 2)*(r - 1)
Let o(s) = 10*s - 4. Let c be o(1). Solve -3/2*a**2 - 6 + c*a = 0.
2
Let v(k) be the first derivative of 0*k**3 + 1/12*k**4 + 1/15*k**5 - 1/20*k**6 + 1/2*k**2 + 0*k + 2. Let a(p) be the second derivative of v(p). Factor a(j).
-2*j*(j - 1)*(3*j + 1)
Find r such that 1/5*r**3 + 7*r + 13/5*r**2 - 49/5 = 0.
-7, 1
Let g = 16 + -14. Suppose -46*d**2 + d - 3*d**4 + 6*d - d + 55*d**g = 0. Calculate d.
-1, 0, 2
Let d(m) be the third derivative of -m**7/70 - m**6/10 - m**5/5 - 16*m**2. Find f such that d(f) = 0.
-2, 0
Suppose 0 = 3*s + s + t - 11, 2*t - 14 = -4*s. Determine h so that -3 - h**4 - 10*h - 10*h**2 - 5*h**3 - 2*h**s - h**3 = 0.
-3, -1
Let b(x) = x - 4. Let p be b(5). Suppose 4 = 2*a + 2*a. Factor -a + 3*n**2 - 3*n + p.
3*n*(n - 1)
Let h be (-495)/225 + 1*3. Solve h*v + 2/5*v**2 - 4/5*v**3 - 2/5 = 0.
-1, 1/2, 1
Solve 8/5*j**3 - 2/5*j - 6/5*j**5 - 4/5*j**2 + 0 + 4/5*j**4 = 0 for j.
-1, -1/3, 0, 1
Suppose -17 - 15 = -16*u. Suppose 2*g + 2/3*g**3 + u*g**2 + 2/3 = 0. What is g?
-1
Let t = 1 - 3. Let y be (1 + 3)*(-2)/t. Factor -1/2*w**y + 1/2*w**2 + 0*w - 1/2*w**3 + 0 + 1/2*w**5.
w**2*(w - 1)**2*(w + 1)/2
Let a(l) be the first derivative of -5/2*l**3 + 9/2*l**2 + 2 - 2*l - 25/16*l**4. Determine t so that a(t) = 0.
-2, 2/5
Let j = 51 - 26. Let k = -13 + j. Factor k*v**2 + 8*v**3 + 9/2*v + 1/2.
(v + 1)*(4*v + 1)**2/2
Factor -1/6*u**2 - 1/6*u**3 + 0*u + 0.
-u**2*(u + 1)/6
Let v(r) = -2*r**3 + 5*r**2 + 2*r - 5. Let x(p) = p**3 - 3*p**2 - p + 3. Let h(g) = -4*v(g) - 7*x(g). Factor h(y).
(y - 1)*(y + 1)**2
Suppose 0 = 5*v + 6 - 16. Factor 2/3*m**v + 2/3 + 4/3*m.
2*(m + 1)**2/3
Let r(m) be the second derivative of -7*m**4/20 - m**3/2 + 3*m**2/5 + 3*m. Suppose r(c) = 0. Calculate c.
-1, 2/7
Let o(d) be the second derivative of -7/12*d**4 - 4*d + 2*d**2 + 2*d**3 + 0. Determine a so that o(a) = 0.
-2/7, 2
Let c be 78/4 + 4/6. Let n = 895/42 - c. Suppose 2/7*a + 4/7*a**2 - 4/7*a**4 + 6/7*a**5 - n*a**3 + 0 = 0. Calculate a.
-1, -1/3, 0, 1
Let q(p) be the third derivative of p**6/20 - 11*p**5/30 + 5*p**4/12 + p**3 + 16*p**2. Suppose q(n) = 0. What is n?
-1/3, 1, 3
Let s(r) be the second derivative of r**6/15 + r**5/60 + 14*r. Factor s(l).
l**3*(6*l + 1)/3
Let p(g) be the third derivative of -g**7/525 + g**6/75 - g**5/25 + g**4/15 - g**3/15 + g**2. Find b such that p(b) = 0.
1
Let t(p) = -p**2 + 5*p + 3. Let j be t(5). Factor -2*s**j + 4 - 20*s + 0*s**3 + 8*s**2 + 10*s.
-2*(s - 2)*(s - 1)**2
Let o(s) be the first derivative of s**3/2 + 3*s**2/2 - 9*s/2 + 16. Factor o(w).
3*(w - 1)*(w + 3)/2
Let c = 54 + -50. Factor 0*z - 1/3*z**5 - 1/3*z**2 + 0 - z**3 - z**c.
-z**2*(z + 1)**3/3
Let v(n) be the third derivative of -n**10/50400 - n**5/15 + 2*n**2. Let d(l) be the third derivative of v(l). Factor d(w).
-3*w**4
Let q = -173 - -867/5. Solve 2/5 + 0*p - q*p**2 = 0.
-1, 1
Let i(d) be th