**2. Let x(c) be the third derivative of h(c). Solve x(q) = 0.
0
Factor -1/6*c + 1/6*c**2 + 0.
c*(c - 1)/6
Let f(s) = s**3 + s**2. Let u(y) = -2*y**4 + 7*y**3 + 11*y**2 - 2*y - 4. Let c(l) = 5*f(l) - u(l). Factor c(h).
2*(h - 2)*(h - 1)*(h + 1)**2
Let j(v) = -v**3 - 6*v**2 + 3*v + 20. Let r be j(-6). Determine x, given that -x**r - 3/2*x - 1/2 = 0.
-1, -1/2
Solve -8*t + 9*t - t + 5 - 5*t**2 = 0 for t.
-1, 1
Let d(h) be the first derivative of 2/35*h**5 + 0*h**2 - 3/14*h**4 + 0*h - 2 + 4/21*h**3. Factor d(p).
2*p**2*(p - 2)*(p - 1)/7
Let m(h) be the second derivative of -1/24*h**4 - 4*h - 1/8*h**3 - 1/8*h**2 + 0. Factor m(q).
-(q + 1)*(2*q + 1)/4
Let r = -39 + 41. Let j(q) be the first derivative of -1/2*q**r + 0*q - 1/3*q**3 - 2. Let j(k) = 0. Calculate k.
-1, 0
Let s(z) be the second derivative of -z**5/120 + 5*z**4/24 - 25*z**3/12 + 125*z**2/12 + 38*z. Factor s(d).
-(d - 5)**3/6
Let y(o) be the second derivative of -o**8/5040 + o**7/630 - o**6/270 + o**3/6 + 2*o. Let m(c) be the second derivative of y(c). Solve m(v) = 0.
0, 2
Let z(m) be the first derivative of m**5/150 - m**4/30 - m**3/5 + 3*m**2/2 - 6. Let a(j) be the second derivative of z(j). Factor a(l).
2*(l - 3)*(l + 1)/5
Factor 12/5*p**2 + p**3 + 9/5*p + 2/5.
(p + 1)**2*(5*p + 2)/5
Let u(k) be the third derivative of -k**7/10080 - k**6/2880 - k**4/12 - 4*k**2. Let y(d) be the second derivative of u(d). Factor y(q).
-q*(q + 1)/4
Let w = 64 - 575/9. Let u(r) be the second derivative of -r - w*r**3 - 1/54*r**4 + 1/30*r**5 + 0 + 2/9*r**2 - 1/135*r**6. What is h in u(h) = 0?
-1, 1, 2
Suppose 89*y - 91*y = 0. Suppose -1/3*s**3 + y + 1/3*s**5 + 0*s**2 + 0*s + 0*s**4 = 0. Calculate s.
-1, 0, 1
Let f(c) = 2*c - 5. Let a be f(4). Determine l, given that 2 + 2*l**3 + 6*l**2 - 4*l**a + 4*l**3 + 6*l = 0.
-1
Let u(o) be the third derivative of o**5/240 + o**4/96 - o**3/12 - 6*o**2. Determine p, given that u(p) = 0.
-2, 1
Let s be 469/140 + 3/(-4). Suppose -s*b - 23/5*b**3 + 7/5*b**4 + 2/5 + 27/5*b**2 = 0. What is b?
2/7, 1
Let f = -5/46 - -223/1840. Let w(o) be the second derivative of o - 1/8*o**3 - f*o**5 + 1/16*o**4 + 1/8*o**2 + 0. Determine z, given that w(z) = 0.
1
Find z such that -2/13*z**3 + 0*z + 0 - 2/13*z**2 = 0.
-1, 0
Let k = 25 - 8. Let p = -15 + k. Factor 8/3*q**3 + 8/3*q - 2/3*q**4 - 4*q**p - 2/3.
-2*(q - 1)**4/3
Let b(c) be the second derivative of -c**4/42 - 8*c**3/21 - 16*c**2/7 + 24*c. Factor b(k).
-2*(k + 4)**2/7
Let v = -203/2220 - -4/37. Let a(l) be the third derivative of 1/300*l**6 + v*l**4 + 0*l + 1/75*l**5 - 2*l**2 + 0 + 0*l**3. Let a(x) = 0. Calculate x.
-1, 0
Let h(s) be the third derivative of 7*s**6/240 + 13*s**5/60 + 13*s**4/48 - s**3/2 + 18*s**2. Factor h(m).
(m + 1)*(m + 3)*(7*m - 2)/2
Let u(z) be the third derivative of z**7/315 - z**6/180 - 17*z**2. Find r such that u(r) = 0.
0, 1
Let h be (-65)/(-4) - 4/16. Let f be 0/((h/(-4))/4). Solve 0*x - 2/9*x**2 + f = 0 for x.
0
Let h = 4 - 2. Suppose 5*p - 6 = h*p. Factor -3*m - m**2 - 2*m**3 + 5*m - m**p + 2*m**4.
2*m*(m - 1)**2*(m + 1)
Let p(d) be the second derivative of -d**4/54 + d**3/27 + 2*d**2/9 - 5*d. Factor p(z).
-2*(z - 2)*(z + 1)/9
Let t(b) = -b**3 - 7*b**2 - 7*b - 4. Suppose -2*z = z + 18. Let o be t(z). Factor -2*x**2 + 5*x**o - 5*x**2.
-2*x**2
Let y(a) be the third derivative of -5*a**7/126 + a**6/2 - 61*a**5/45 - 4*a**4 - 32*a**3/9 + 24*a**2. Let y(w) = 0. What is w?
-2/5, 4
Let s(d) be the second derivative of d**4/66 + 2*d**3/33 - 3*d**2/11 + 29*d. Determine q so that s(q) = 0.
-3, 1
Let l be 16/12 + 1/3. Let o(m) = 2*m**2 - m - 1. Let w be o(-1). Find x such that 1/3*x - l*x**4 + 0 - 4/3*x**5 + x**3 + 5/3*x**w = 0.
-1, -1/4, 0, 1
Let f(q) be the second derivative of q**7/105 + q**6/60 - q**2/2 - 4*q. Let o(u) be the first derivative of f(u). Factor o(a).
2*a**3*(a + 1)
Let f = -6 - -13. Let x(r) be the third derivative of 0*r**3 + r**2 + 0 + 0*r + 1/240*r**5 + 0*r**6 - 1/840*r**f + 0*r**4. Suppose x(h) = 0. What is h?
-1, 0, 1
Let p(i) be the first derivative of -i**4/4 + 2*i**3/3 + 7*i**2/2 + 4*i - 28. Factor p(h).
-(h - 4)*(h + 1)**2
Let p(z) be the third derivative of -z**2 + 0*z + 0*z**4 + 0 - 1/9*z**3 + 1/360*z**5. Let p(f) = 0. What is f?
-2, 2
Let c = 334/21 - 102/7. Factor 2/3*h**2 + 2*h + c.
2*(h + 1)*(h + 2)/3
Suppose -6*g + 12 = -3*g. Suppose -3*c**4 - 2*c**4 + 4*c**g - 1 - 3*c**2 + 5*c**2 = 0. What is c?
-1, 1
Let z(u) = u**2 + 10*u - 8. Let j be z(-11). Let s be (-4)/2*j/(-18). Solve -t**5 + 0 + 2/3*t - 5/3*t**2 + 5/3*t**4 + s*t**3 = 0.
-1, 0, 2/3, 1
Suppose -2*u + 0 = 6. Let j(c) = 4*c**3 - 15*c**2 - 4*c. Let p(q) = -q**3 - q**2. Let l(g) = u*p(g) + j(g). Find k such that l(k) = 0.
-2/7, 0, 2
Suppose -u + 3 = -2*u, 3*z - u = 822. Let x be (52/z)/(4/6). Find a, given that 2/7*a**4 - x*a**2 - 2/7*a**3 + 2/7*a + 0 = 0.
-1, 0, 1
Let z(m) be the second derivative of 0*m**3 + 0 + 1/30*m**5 + 2/45*m**6 - 1/18*m**4 + 0*m**2 - 2*m. Factor z(s).
2*s**2*(s + 1)*(2*s - 1)/3
Let g(d) be the first derivative of -2*d**5/25 + d**4/5 + 2*d**3/15 - 2*d**2/5 + 1. Factor g(r).
-2*r*(r - 2)*(r - 1)*(r + 1)/5
Let p(f) be the third derivative of f**6/40 + f**5/30 - f**4/8 - f**3/6 - 2*f**2. Let a(q) = q**3 - q + 1. Let z(t) = a(t) - p(t). Suppose z(y) = 0. What is y?
-1, 1
Let p be 0 - 92/(-5)*-2. Let a = 37 + p. Factor a*j**2 - 3/5*j + 2/5.
(j - 2)*(j - 1)/5
Let j(s) be the first derivative of -s**6/66 + s**5/5 - 43*s**4/44 + 73*s**3/33 - 28*s**2/11 + 16*s/11 - 6. Factor j(t).
-(t - 4)**2*(t - 1)**3/11
Let h(z) be the third derivative of -z**5/75 + 2*z**4/3 - 40*z**3/3 + 13*z**2. What is p in h(p) = 0?
10
Let l(j) be the first derivative of -2 - 1/8*j**4 + 0*j**2 + 0*j + 1/3*j**3. Factor l(h).
-h**2*(h - 2)/2
Let j = 9 + -6. Factor x**2 + x**2 + 2*x**j - 5*x**3 + x**3.
-2*x**2*(x - 1)
Suppose -4*a + 2*r = -20, 4*r = -2*a - 3*a + 12. Suppose 3*w = 4*b - 2*w - 18, -5*b = 3*w - a. Factor -n**b + 4*n**2 - 2*n**2.
n**2
Let v(s) be the second derivative of -s**5/18 + s**4/2 - 10*s**3/27 + 21*s - 1. Suppose v(p) = 0. Calculate p.
0, 2/5, 5
Let o(l) be the second derivative of l**7/105 - l**6/75 - l**5/25 + 24*l. Find u, given that o(u) = 0.
-1, 0, 2
Let b(z) be the second derivative of z**6/540 + z**5/90 - z**3 - 9*z. Let f(r) be the second derivative of b(r). Factor f(g).
2*g*(g + 2)/3
Let x(n) be the first derivative of n**6/18 - 4*n**5/15 + n**4/3 + 2*n**3/9 - 5*n**2/6 + 2*n/3 + 19. Let x(o) = 0. What is o?
-1, 1, 2
Let r(a) = 13*a**2 + 37*a + 4. Let u(x) = -12*x**2 - 37*x - 5. Let n(f) = 5*r(f) + 6*u(f). Suppose n(y) = 0. What is y?
-5, -2/7
Suppose 4*y - 4 = -i, 20 = -2*y + 6*i - i. Suppose 4*u + 4*z - 8 = -y*z, -7 = u + 4*z. Factor 5/2*m**4 - 1/2*m**2 + 0 - 1/2*m**3 + 0*m - 3/2*m**u.
-m**2*(m - 1)**2*(3*m + 1)/2
Let w(c) = -8*c**2 + 26*c + 20. Let v(j) = 3*j**2 - 9*j - 7. Let n be ((-5)/(-3))/((-6)/18). Let h(d) = n*w(d) - 14*v(d). What is f in h(f) = 0?
-1
Let v(x) be the third derivative of -1/12*x**3 - 1/30*x**5 + 1/1344*x**8 - 7/96*x**4 + 0*x + 7*x**2 + 0 + 1/420*x**7 - 1/240*x**6. Factor v(r).
(r - 2)*(r + 1)**4/4
Let a(f) be the second derivative of -8*f**7/7 - 6*f**6/5 - 9*f**5/20 - f**4/16 + 10*f. Factor a(k).
-3*k**2*(4*k + 1)**3/4
Suppose 3*g = -2 - 7. Let t(o) = o**3 + 2*o**2 - 3*o + 3. Let p be t(g). Factor -2*i**p + 2*i**2 + 2*i**4 + i**3 - 3*i**3.
2*i**2*(i - 1)**2
Factor 2/3*p**2 + 0 - 2/3*p**3 + 4/3*p.
-2*p*(p - 2)*(p + 1)/3
Factor 10/11*w**2 + 4/11*w + 0 + 6/11*w**3.
2*w*(w + 1)*(3*w + 2)/11
Let m(f) = -9*f**5 + 44*f**3 - 84*f. Let r(d) = -d**5 + d**3 - d. Let x(a) = m(a) - 4*r(a). Factor x(u).
-5*u*(u - 2)**2*(u + 2)**2
Let a(f) be the third derivative of -f**7/630 + f**5/60 + f**4/36 - 3*f**2. Factor a(c).
-c*(c - 2)*(c + 1)**2/3
Let p = 95612 - 14628557/153. Let s = -5/17 + p. Find o such that 2/9 - 2/9*o**2 + 2/9*o - s*o**3 = 0.
-1, 1
Let w(q) be the second derivative of q**4/54 + 22*q**3/27 + 121*q**2/9 - 22*q. Factor w(s).
2*(s + 11)**2/9
Let g be -2 + 68/42 + 12/18. Let 2/7*k**3 + 2/7*k**2 - g - 2/7*k = 0. Calculate k.
-1, 1
Let h(v) be the third derivative of -v**10/37800 + v**9/5040 - v**8/2520 - 11*v**5/60 + 10*v**2. Let p(b) be the third derivative of h(b). Factor p(m).
-4*m**2*(m - 2)*(m - 1)
Let z(p) = 8*p + 10. Let g(i) = -21 - 2*i**2 - 13*i + 3*i**2 - 3*i. Let k(m) = 2*g(m) 