**2.
4*(h - 2)*(h + 2)**3/5
Suppose -5*z**5 - 2*z**4 + 5*z + 16*z**2 - 8*z**4 - 6*z**2 = 0. Calculate z.
-1, 0, 1
Suppose -14*n - 9*n = -3*n. Factor 0*d**2 - 1/5*d**4 + 0*d + n + 1/5*d**3.
-d**3*(d - 1)/5
Let u be -1 - ((-1 - 1) + -5). Factor -3*i**2 - 2 - 6*i + 5 + 0 - u.
-3*(i + 1)**2
Let b(s) be the first derivative of s**7/147 - s**5/35 + s**3/21 - 11*s + 9. Let o(g) be the first derivative of b(g). Determine d, given that o(d) = 0.
-1, 0, 1
Let j = -14 + 29/2. Let s(q) be the first derivative of 4/5*q**5 + 4/3*q**3 - 3/2*q**4 - 1 + 0*q - j*q**2 - 1/6*q**6. Factor s(k).
-k*(k - 1)**4
Let k(o) = -7*o - 35. Let f be k(-5). Let q(c) be the third derivative of 0 - 1/8*c**4 + f*c**3 + 0*c + 3*c**2 + 3/20*c**5 + 1/10*c**6. Factor q(y).
3*y*(y + 1)*(4*y - 1)
Let w(r) = r**2 + 3*r + 4. Let v be w(-3). Let h = -9 - -11. Determine z so that -h*z**4 + v*z**3 - 4*z + 0*z**3 + 1 + 1 = 0.
-1, 1
Let b(f) be the second derivative of -3*f**5/80 - 3*f**4/16 - 3*f**3/8 - 3*f**2/8 - 13*f. Factor b(v).
-3*(v + 1)**3/4
Let m(v) be the third derivative of v**8/84 - 8*v**7/105 + v**6/5 - 4*v**5/15 + v**4/6 + 3*v**2. Factor m(z).
4*z*(z - 1)**4
Let p(h) be the first derivative of 0*h**2 + 3 + 4/3*h**3 + 0*h + 1/2*h**4. Let p(b) = 0. What is b?
-2, 0
Factor 0 - 3/7*d**3 + 0*d**2 + 3/7*d.
-3*d*(d - 1)*(d + 1)/7
Suppose 2*c = 1 + 7. Let s(r) be the second derivative of -1/5*r**5 + r**c - 1/3*r**6 + 0 + 1/7*r**7 - r**2 - r - 1/3*r**3. Suppose s(d) = 0. Calculate d.
-1, -1/3, 1
Let v(k) be the first derivative of -k**4/48 + k**3/12 - k**2/8 + k - 1. Let w(d) be the first derivative of v(d). Suppose w(o) = 0. What is o?
1
Let j(g) be the first derivative of g**6/160 + g**5/80 + g**2/2 + 3. Let k(b) be the second derivative of j(b). Factor k(y).
3*y**2*(y + 1)/4
Let x(y) be the second derivative of y**6/360 - y**4/72 - y**2 + 2*y. Let c(v) be the first derivative of x(v). Let c(g) = 0. What is g?
-1, 0, 1
Factor 4*m**2 + 6*m**2 + 2 - 9*m + 9*m**3 - 12*m**2.
(m - 1)*(m + 1)*(9*m - 2)
Let q(k) be the third derivative of -1/630*k**7 + 0 - 1/60*k**5 - 1/72*k**4 - 1/120*k**6 + 3*k**2 + 0*k + 0*k**3. Factor q(m).
-m*(m + 1)**3/3
Suppose 0 - 1/4*o**5 - o**4 + 1/2*o**3 - 9/4*o + 3*o**2 = 0. What is o?
-3, 0, 1
Suppose -200 = 6*d - d. Let a be d/(-18) - 8/36. Factor 4*k + 2 - 4*k**3 - k**a + 3 - 4.
-(k - 1)*(k + 1)*(4*k + 1)
Let q = 0 - -4. Let w(r) = 3*r**3 + 0*r + 2*r - q*r - 4*r**3. Let u(d) = 4*d**3 + 6*d. Let t(g) = 3*u(g) + 10*w(g). Factor t(b).
2*b*(b - 1)*(b + 1)
Solve 7*v**4 + 39*v**2 + 8*v - 6 + 28*v**3 - v + 13*v**3 - 8*v**3 = 0.
-3, -1, 2/7
Let 8/3*r**2 + 14/9*r**3 - 4/9 + 2/3*r = 0. Calculate r.
-1, 2/7
Let m be 2 + 1 + 0 - -2. Suppose -m - 31 = -3*u. Factor 24*c**3 + u*c + 4/3 + 97/3*c**2 + 16/3*c**4.
(c + 2)**2*(4*c + 1)**2/3
Let d(t) = 32*t**4 - 48*t**3 + 72*t**2 - 32*t. Let g(k) = -13*k**4 + 19*k**3 - 29*k**2 + 13*k. Let i(w) = 5*d(w) + 12*g(w). Factor i(y).
4*y*(y - 1)**3
Let c(s) = 5*s**3 - 10*s**2 - 15*s + 5. Let a(n) = 5*n**3 - 10*n**2 - 15*n + 6. Let m(g) = -5*a(g) + 6*c(g). Factor m(v).
5*v*(v - 3)*(v + 1)
Suppose 0 = -j - 3*j + 28. Factor -4*n + 3 - n - j*n + 9*n**2 + 1.
(3*n - 2)**2
Suppose 4*z - z - 6 = 0. Factor -15*d**5 - 25*d**4 - 70*d**3 - 14*d**3 - 41*d**4 - 24*d**z.
-3*d**2*(d + 2)**2*(5*d + 2)
Let g(z) be the first derivative of -z**4/14 - 2*z**3/21 + z**2/7 + 2*z/7 - 4. Factor g(y).
-2*(y - 1)*(y + 1)**2/7
Factor 0 + 0*k**2 + 1/4*k**3 - 1/4*k.
k*(k - 1)*(k + 1)/4
Let u(x) be the second derivative of -x**5/25 - x**4/6 - 4*x**3/15 - x**2/5 - 23*x. Let u(c) = 0. Calculate c.
-1, -1/2
Let w(g) be the first derivative of -3/4*g**4 - 1/60*g**6 - 2 - 2*g**2 - 5/3*g**3 - 7/40*g**5 - g. Let n(f) be the first derivative of w(f). Factor n(x).
-(x + 1)*(x + 2)**3/2
Suppose 3*z + 5*m - 1554 = 0, m + 15 = 6*m. Let j = -1469/3 + z. What is u in -23*u**3 + 28/3*u**2 - 4/3*u + j*u**4 - 25/3*u**5 + 0 = 0?
0, 2/5, 1
Let u be 18/2*(-3 - -6). Suppose -j + u = 2*j. Determine h, given that -50*h**3 + 104*h - j*h**4 + 43*h**4 + 202*h**4 - 16 - 180*h**2 + 14*h**4 = 0.
-1, 2/5
Let o = 10936712/9047493 - 2/99423. Let j = o + -12/13. Factor 0 - 2/7*p + 2/7*p**2 + 2/7*p**3 - j*p**4.
-2*p*(p - 1)**2*(p + 1)/7
Let m(g) = g**2 - 12*g + 37. Let t be m(7). Solve 2/5*n**t + 0 + 6/5*n = 0 for n.
-3, 0
Let k(s) = -s**4 + 3*s**3 + s**2 - s. Let c(a) = -2*a**4 + 7*a**3 + a**2 - 2*a + 1. Let m(b) = -4*c(b) + 10*k(b). Suppose m(w) = 0. Calculate w.
-1, 1, 2
Let s(n) = -n. Let k be (-2)/(-3*(-4)/(-6)). Let a(h) = h**2. Suppose -g = -3*g - 2. Let o(d) = g*s(d) + k*a(d). Find w such that o(w) = 0.
-1, 0
Let s(l) = -2*l**2 + 1. Let r(w) = -21*w**2 - 10*w + 8. Let z(f) = -r(f) + 3*s(f). Determine h so that z(h) = 0.
-1, 1/3
Let j be 1*(-9)/6*3/(-27). Let n(r) be the first derivative of -1 - j*r**3 + 0*r - 1/2*r**2. Factor n(h).
-h*(h + 2)/2
Let y(x) = -2*x**2 + 7*x. Let w(c) = -8*c**2 + 29*c. Let n(l) = -6*w(l) + 26*y(l). Factor n(s).
-4*s*(s - 2)
Let r(a) be the first derivative of -2 + 0*a**2 + 0*a + a**3 - 1/48*a**4 + 1/80*a**5 - 1/360*a**6. Let u(p) be the third derivative of r(p). Factor u(c).
-(c - 1)*(2*c - 1)/2
Let 2/3 + 2/3*d**2 + 4/3*d = 0. What is d?
-1
Let g be 1/(-4) + 90/40. Find c, given that -2*c**3 - c + 1/2 - 7/2*c**g = 0.
-1, 1/4
Let u(k) be the first derivative of k**5/50 + k**4/20 - k**3/10 - k**2/5 + 2*k/5 + 7. What is o in u(o) = 0?
-2, 1
Factor 0 + 2/3*j**4 + 0*j + 0*j**2 + 5/3*j**5 + 0*j**3.
j**4*(5*j + 2)/3
Let d = -29/6 - -215/42. Suppose -d*v**4 + 4/7*v**2 + 0*v + 0*v**3 - 2/7 = 0. Calculate v.
-1, 1
Let 10*u**2 - 1 - 1 + 1 - 3 + 6*u = 0. Calculate u.
-1, 2/5
Let l = 214420 + -61109938/285. Let x = -2/57 - l. Factor -x*k**2 - 2*k**3 + 2*k + 4/5.
-2*(k - 1)*(k + 1)*(5*k + 2)/5
Let u(k) be the third derivative of -k**7/280 + k**6/80 - k**5/80 - 21*k**2. Factor u(m).
-3*m**2*(m - 1)**2/4
Let h be (-10)/65 + (-3 - 927/(-195)). Find z such that -h*z + 16/5*z**2 + 1/5 = 0.
1/4
Let y(j) be the third derivative of 0*j - 3*j**2 + 0 + 1/24*j**4 + 1/60*j**5 + 0*j**3. What is o in y(o) = 0?
-1, 0
Suppose 4*k + k - 35 = 0. Let m = k + -4. Suppose -b**m - 49*b**4 + 4 - 27*b**3 + 28*b + 0*b**2 + 45*b**2 = 0. Calculate b.
-1, -2/7, 1
Let v(i) be the third derivative of -i**8/1680 - i**7/840 + i**6/360 + i**5/120 + i**3/6 - 2*i**2. Let u(d) be the first derivative of v(d). Factor u(s).
-s*(s - 1)*(s + 1)**2
Factor 2/13*u**3 - 2/13 + 2/13*u**2 - 2/13*u.
2*(u - 1)*(u + 1)**2/13
Let o(n) be the third derivative of n**8/168 - 11*n**7/105 + 23*n**6/30 - 3*n**5 + 27*n**4/4 - 9*n**3 + 8*n**2. Factor o(y).
2*(y - 3)**3*(y - 1)**2
Let r(q) = -19*q**4 + 31*q**3 - 69*q**2 + 49*q - 10. Let a(v) = 9*v**4 - 16*v**3 + 34*v**2 - 24*v + 5. Let g(h) = -9*a(h) - 4*r(h). Factor g(t).
-5*(t - 1)**4
Let i(o) be the second derivative of o**6/210 + 3*o**5/140 - o**4/84 - o**3/14 - 48*o. Factor i(a).
a*(a - 1)*(a + 1)*(a + 3)/7
Let l(p) be the second derivative of p**10/90720 - p**8/10080 + p**6/2160 + p**4/2 - p. Let x(a) be the third derivative of l(a). Suppose x(w) = 0. Calculate w.
-1, 0, 1
Let q be (-3)/(-8) - 51*2/(-48). Solve q*h**2 - 9/2 - 3/2*h - 1/2*h**3 = 0.
-1, 3
Suppose -12 = -2*i - 4. Suppose 0 = -i*k - 0*k. Factor 1/2*x**4 - 1/2*x**2 + k + 1/2*x**3 - 1/2*x.
x*(x - 1)*(x + 1)**2/2
Suppose -w + 3*w = 0. Let k be 6/27 - w/(-4). What is s in 0*s + 0 + 2/9*s**3 - 2/9*s**4 - 2/9*s**5 + k*s**2 = 0?
-1, 0, 1
Let i(f) be the third derivative of -f**8/2856 - 2*f**7/1785 + f**6/510 + 2*f**5/255 - f**4/204 - 2*f**3/51 - 38*f**2. Determine n so that i(n) = 0.
-2, -1, 1
Let m(r) be the second derivative of r**7/98 + r**6/70 - 3*r**5/28 - r**4/28 + 4*r**3/7 - 6*r**2/7 - 12*r. Determine b so that m(b) = 0.
-2, 1
Let l be (-22)/(-6) - (-2)/(-3). Suppose -l*f - 15 = -6*f. Find h, given that 2/5*h**f + 10*h**2 + 38/5*h**3 + 32/5*h + 8/5 + 14/5*h**4 = 0.
-2, -1
Factor -3*s**3 + 12*s**2 + 254 - 254.
-3*s**2*(s - 4)
Let u(q) be the second derivative of 7/48*q**4 + 1/2*q**3 + 5*q + 0 - 1/2*q**2. Factor u(m).
(m + 2)*(7*m - 2)/4
Suppose 10 + 5 = 5*a. Factor h**a - 11*h + 2*h**3 + 8*h - 3*h**4 + 3*h**2.
-3*h*(h - 1)**2*(h + 1)
Let r(x) = x**2 - 15*x - 12. Let v be r(16). Let w(h) be the third derivative of 0 + 1/18*h**4 + v*h**2 + 2/9*h**3 + 1/180*h**5 + 0*h. Factor w(u).
(u + 2)**2/3
Factor -5/7*s**2 - s + 4/