2)*(h - 1)*(h + 1)**3
Let j(z) be the second derivative of -1/20*z**5 + 0 + 0*z**2 + 1/6*z**4 - 1/6*z**3 + 6*z. Let j(d) = 0. Calculate d.
0, 1
Determine j so that 1/3 + j - 4/3*j**2 = 0.
-1/4, 1
Let u(l) = l**2 + 8*l - 5. Let w(j) be the first derivative of j**3/3 + 9*j**2/2 - 6*j - 2. Let p(y) = -7*u(y) + 6*w(y). Factor p(o).
-(o + 1)**2
Let n(i) be the first derivative of 1/4*i**4 + 0*i**2 - 3 + 0*i - 1/3*i**3. Factor n(v).
v**2*(v - 1)
Let r(m) be the third derivative of -m**9/7560 + m**8/10080 + m**5/30 - m**2. Let q(o) be the third derivative of r(o). Factor q(c).
-2*c**2*(4*c - 1)
Let c(v) be the third derivative of 0*v - 1/1008*v**8 - 1/315*v**7 + 0 + 1/72*v**4 + 0*v**3 + 1/90*v**5 - v**2 + 0*v**6. Factor c(y).
-y*(y - 1)*(y + 1)**3/3
Let u be (-8)/(-2) + 2/(-2). Suppose u*i = 2*s, -2*i + s = 3*i. Suppose 6*c**2 + 3*c + i*c - 4*c**2 - 2 = 0. Calculate c.
-2, 1/2
Let n = -53/6 - -19/2. Let f(g) be the first derivative of 0*g**2 - 2*g + n*g**3 + 2. Let f(c) = 0. Calculate c.
-1, 1
Let q(p) = -p + 4. Let z be q(-5). Let v(h) = -h**2 + 11*h - 16. Let d be v(z). Factor 8/9*w**d - 2/9*w**3 - 8/9*w + 0.
-2*w*(w - 2)**2/9
Let o = 4/3 + -2/3. What is v in -4/3*v**3 + 2/3*v + 0*v**2 + 0 + 0*v**4 + o*v**5 = 0?
-1, 0, 1
Factor 32/11 + 48/11*c**2 + 64/11*c + 16/11*c**3 + 2/11*c**4.
2*(c + 2)**4/11
Let v(h) be the third derivative of 0*h**4 + 0*h**3 + 0*h - 1/40*h**6 + 0 + 6*h**2 + 1/40*h**5 + 1/140*h**7. Suppose v(n) = 0. What is n?
0, 1
Determine k so that -k**3 - 7*k - 7 + 1 + 2*k**3 = 0.
-2, -1, 3
Let p(m) be the first derivative of 0*m - 1/120*m**5 - 1/2*m**2 - 3 - 3/4*m**3 + 1/8*m**4. Let v(j) be the second derivative of p(j). Factor v(s).
-(s - 3)**2/2
Let b(n) be the first derivative of -n**5/2 - 11*n**4/16 + 4*n**3/3 - n**2/2 + 12. Determine d so that b(d) = 0.
-2, 0, 2/5, 1/2
Let a(o) be the first derivative of -2*o - 9*o**3 - 3*o**4 - o + 6 - 1 - 9*o**2 + 0*o**4. Factor a(l).
-3*(l + 1)**2*(4*l + 1)
Let j be (-15)/(-60) + -2 + (-8)/(-4). Factor -1/4*n**2 - 1/4*n + 0 + 1/4*n**4 + j*n**3.
n*(n - 1)*(n + 1)**2/4
Let f(n) be the third derivative of n**7/210 - n**6/40 + n**4/6 + 12*n**2. Factor f(c).
c*(c - 2)**2*(c + 1)
Let f be (-14)/6*4/(-10). Let p = -8/15 + f. Factor 2/5*i + p*i**2 + 0.
2*i*(i + 1)/5
Let t(o) be the second derivative of o**4/4 - 3*o**3/2 - 6*o**2 + 24*o. Factor t(v).
3*(v - 4)*(v + 1)
Let b be 6/2 - (-4)/(-4). Determine i, given that -3*i**2 + 4*i**b + 0*i**2 = 0.
0
Suppose -4*d = -6*d. Let j be (16/(-6) - -3)*d. Suppose 1/3*k**2 + j + 2/3*k = 0. What is k?
-2, 0
Let y(i) be the first derivative of -4*i**5/35 + 3*i**4/7 + 4*i**3/21 - 6*i**2/7 + 14. Factor y(d).
-4*d*(d - 3)*(d - 1)*(d + 1)/7
Suppose -5*v - 4*d + 6 = 0, 2*v + v - 3 = -3*d. Suppose 5*m + m**v + m**2 - 2*m + m**2 = 0. Calculate m.
-1, 0
Let w(f) be the first derivative of f**5/110 - f**4/33 - f**3/33 + 2*f**2/11 + 6*f + 3. Let p(y) be the first derivative of w(y). Factor p(u).
2*(u - 2)*(u - 1)*(u + 1)/11
Let q(r) = r**4 - 4*r**2 - 3*r. Let k(o) = -4*o**2 - 4*o. Let a(g) = 3*k(g) - 4*q(g). Solve a(s) = 0.
-1, 0, 1
Let y(c) = -c**2 - 7*c - 7. Let a = -9 - -4. Let r be y(a). Let 0*f**3 + 2*f**2 + f**r + f**3 = 0. Calculate f.
-1, 0
Let x(s) = s + 10. Let b be x(-6). Suppose -b*c + 10 = -2*c. Factor 0*p**2 + 0 + 0*p + 2/7*p**c + 0*p**4 + 0*p**3.
2*p**5/7
Let t be (-2)/(-12)*3*2. Let r be t/(-2)*0 + 8. Suppose n**2 + r*n + n**2 - 8*n = 0. What is n?
0
Let c = 30 + -59/2. Let g = 61/130 + 2/65. Solve c*r**2 + 1/2*r - g - 1/2*r**3 = 0.
-1, 1
Factor 10/3*g**2 + 4/3*g + 8/3*g**3 + 2/3*g**4 + 0.
2*g*(g + 1)**2*(g + 2)/3
Let x = 7226/9 + -802. Factor -x - 8/9*l - 2/9*l**2.
-2*(l + 2)**2/9
Let c = 13/680 - -1/170. Let d(r) be the second derivative of 0*r**3 - c*r**5 + 0*r**4 + 0 + 0*r**2 - 1/60*r**6 + 2*r. Solve d(k) = 0 for k.
-1, 0
Let q = 6 - 1. Suppose -10 = q*p - 35. Factor -1 + 8*s - p*s - 3*s + s**2.
(s - 1)*(s + 1)
Let a(y) be the second derivative of y**6/80 - 3*y**5/40 + y**4/8 - 30*y. Solve a(t) = 0 for t.
0, 2
Factor 9/5*f - 27/5*f**2 + 27/5*f**3 - 1/5.
(3*f - 1)**3/5
Let c(a) be the third derivative of 0 + 0*a**6 + 0*a**3 + 0*a + 0*a**4 + 0*a**5 + 1/336*a**8 - 5*a**2 - 1/70*a**7. What is v in c(v) = 0?
0, 3
Let a = 87 + -80. Find j, given that 0*j + 4/3*j**2 + a*j**4 + 0 - 49/3*j**5 + 8*j**3 = 0.
-2/7, 0, 1
Let q be 4 - 35/45*5. Let x(k) be the first derivative of 0*k**2 + 1 - 1/15*k**5 + q*k**3 + 1/12*k**4 + 0*k - 1/18*k**6. Factor x(r).
-r**2*(r - 1)*(r + 1)**2/3
Let t(b) be the third derivative of 5*b**2 + 0*b**5 + 0*b + 0*b**3 + 1/30*b**6 + 0 + 0*b**4. Let t(y) = 0. What is y?
0
Find u, given that 0*u + 5*u - u**3 + 0*u - 4*u**3 = 0.
-1, 0, 1
Let j(v) be the second derivative of 4/15*v**3 - 1/150*v**6 + 1/210*v**7 + 2/5*v**2 - 2*v + 0 + 1/60*v**4 - 1/20*v**5. Factor j(d).
(d - 2)**2*(d + 1)**3/5
Let -3/2*h - 1/2*h**2 + 2 = 0. What is h?
-4, 1
Let s = 116/737 - -113813/86966. Let t = s + 2/59. Factor -t*h**3 + 0 - 1/2*h - 1/2*h**4 - 3/2*h**2.
-h*(h + 1)**3/2
Let n(s) be the second derivative of -2*s**6/5 - 8*s**5/5 - s**4 + 4*s**3/3 + 6*s. Find i, given that n(i) = 0.
-2, -1, 0, 1/3
Let v(f) be the third derivative of -f**6/24 + f**5/6 + 5*f**4/24 - 5*f**3/3 + 4*f**2. Find a such that v(a) = 0.
-1, 1, 2
Let w(n) = -n**4 + n**3 - n**2 + n + 1. Let p(y) = -6*y**4 + 12*y**3 - 12*y**2 + 6*y + 3. Let h(i) = -p(i) + 3*w(i). Factor h(b).
3*b*(b - 1)**3
Suppose 0 = 5*n - p + 55 - 6, 4*n = -3*p - 43. Let r be (-2 - -2) + (-4)/n. Factor 0 - 2/5*k**2 + r*k**4 + 2/5*k**3 - 2/5*k.
2*k*(k - 1)*(k + 1)**2/5
Let h be (-1 + (4 - 3))/3. Let z(t) be the first derivative of 0*t**3 + 0*t**2 + 1/15*t**5 + h*t**4 + 0*t + 1/6*t**6 + 1. Let z(o) = 0. Calculate o.
-1/3, 0
Find l, given that 2*l**2 - 4/7*l - 10/7*l**3 + 0 = 0.
0, 2/5, 1
Let x(j) be the first derivative of -j**6/18 - 4*j**5/15 - 5*j**4/12 - 2*j**3/9 + 4. Factor x(t).
-t**2*(t + 1)**2*(t + 2)/3
Determine z, given that 1/2*z + 1/2*z**2 - 1 = 0.
-2, 1
Let l(c) = 14*c**3 - 20*c**2. Let v(u) = 5*u**3 - 7*u**2. Let r(q) = -3*l(q) + 8*v(q). Find z such that r(z) = 0.
0, 2
Let x be -3*(15/9 - 2) + -1. Suppose -2/3*u**5 + 4/9*u**4 - 4/9*u**2 + x - 2/9*u + 8/9*u**3 = 0. Calculate u.
-1, -1/3, 0, 1
Let v(a) be the first derivative of a**3/15 + 2*a**2/5 + 4*a/5 + 8. Let v(p) = 0. Calculate p.
-2
Let o be 12/(-30) + (-34)/(-10). Factor 8/9*d**4 + 0*d + 10/9*d**o + 2/9*d**2 + 0.
2*d**2*(d + 1)*(4*d + 1)/9
Let p(z) be the first derivative of -2*z**4/7 - 26*z**3/21 - 11*z**2/7 - 4*z/7 - 9. Factor p(b).
-2*(b + 1)*(b + 2)*(4*b + 1)/7
Suppose -t + 5*t - 16 = 0. Let c(r) be the first derivative of 0*r**3 + 3 - 1/2*r**t - 4*r + 3*r**2. Let c(u) = 0. Calculate u.
-2, 1
Determine z, given that 2/13 - 10/13*z**2 + 6/13*z**3 - 6/13*z + 8/13*z**4 = 0.
-1, 1/4, 1
Suppose -14 = -3*o - g, -12 = -2*o + 3*o - 3*g. Let w(j) be the first derivative of -1/14*j**4 + 2/7*j**2 + 0*j - 3 - 2/21*j**o. Factor w(a).
-2*a*(a - 1)*(a + 2)/7
Suppose -h + 10 = b, -3*b = 2*b. Factor -2*x - 18*x**4 + 4*x**3 + h*x**2 - 4*x**3 - 6*x**3.
-2*x*(x + 1)*(3*x - 1)**2
Let x(k) = k**2 + 16*k - 15. Let n(u) = -8*u + 7. Let a(t) = t**2 - 5*t. Let l be a(7). Let j(m) = l*n(m) + 6*x(m). Suppose j(o) = 0. Calculate o.
2/3, 2
Let j(x) be the third derivative of -2*x**7/105 - 2*x**6/15 - 2*x**5/5 - 2*x**4/3 - 2*x**3/3 - 7*x**2. Find m such that j(m) = 0.
-1
Let s(l) = -2*l**4 - 2*l**3 - 10*l**2 - 6*l. Let t(f) = 3*f**4 + 3*f**3 + 11*f**2 + 7*f + 1. Let k(i) = 5*s(i) + 4*t(i). Suppose k(w) = 0. Calculate w.
-2, -1, 1
Suppose -2*y - 12 = -4*y. Let f be ((-6)/4)/((-3)/y). Let s(j) = -13*j**2 - 10*j - 7. Let g(p) = -7*p**2 - 5*p - 4. Let w(c) = f*s(c) - 5*g(c). Factor w(d).
-(d + 1)*(4*d + 1)
Let t(l) be the first derivative of -l**8/5880 - l**7/2940 + l**6/1260 + l**5/420 - l**3 + 3. Let n(p) be the third derivative of t(p). Factor n(g).
-2*g*(g - 1)*(g + 1)**2/7
Let y(p) = p - 13. Let r be y(10). Let n be (-2)/(1 - -1)*r. What is a in 7/4*a**2 + 0 + 3/4*a**n + 1/2*a - 5/4*a**5 - 7/4*a**4 = 0?
-1, -2/5, 0, 1
Suppose -4 = -a + l, 3*a - 8 = -0*a - l. Suppose -3*d = -5*f + 16, -15 = f - 4*f. Factor -3*k + 0*k**a - 2*k**d + k - 4*k**2.
-2*k*(k + 1)**2
Factor 15/7*t**3 - 6/7 + 3*t - 3/7*t**4 - 27/7*t**2.
-3*(t - 2)*(t - 1)**3/7
Let j(y) = 5*y**3 - 19*y**2 - 15*y - 22. Let f(h) 