rst derivative of -f**6/420 - 2*f**5/105 + f**4/84 + 4*f**3/21 + 4*f**2 + 14. Let p(a) be the second derivative of c(a). Factor p(u).
-2*(u - 1)*(u + 1)*(u + 4)/7
Solve -8 + 1/8*z**3 + 15/8*z**2 + 6*z = 0.
-8, 1
Determine o, given that -40/3 + 46*o + 7/3*o**2 = 0.
-20, 2/7
Let b(v) be the second derivative of 2*v**6/75 + v**5/25 - 4*v**4/15 - 8*v**3/15 - 21*v - 1. Factor b(d).
4*d*(d - 2)*(d + 1)*(d + 2)/5
Let u be 104/169*13/6. Factor 0*z + 0 - 2/3*z**5 + 0*z**2 + 0*z**3 - u*z**4.
-2*z**4*(z + 2)/3
Let 10 + 3*m**5 - 51*m + 48*m**3 - 13*m**4 + 6*m**2 + 17 - 17*m**4 - 3 = 0. Calculate m.
-1, 1, 8
Let h(o) be the second derivative of -2*o**6/15 + 4*o**5/5 - 5*o**4/3 + 4*o**3/3 + 715*o. Let h(i) = 0. Calculate i.
0, 1, 2
Let n(c) be the third derivative of 6*c**2 + c - 4/7*c**3 - 3/70*c**5 + 0 - 2/7*c**4. Determine k, given that n(k) = 0.
-2, -2/3
Let g be -1*(4 + -2) - (-78)/13. Let c(x) be the second derivative of 0 - 5/14*x**3 + 1/14*x**g + 6*x - 9/14*x**2. Factor c(f).
3*(f - 3)*(2*f + 1)/7
Let t(v) = -20*v**3 + 224*v**2 - 172*v - 416. Let c(w) = -13*w**3 + 149*w**2 - 115*w - 277. Let x(p) = -8*c(p) + 5*t(p). Let x(q) = 0. What is q?
-1, 2, 17
Let d(i) be the first derivative of -i**5/60 + i**4/3 - 8*i**3/3 - 9*i**2/2 - 10. Let g(t) be the second derivative of d(t). Suppose g(k) = 0. Calculate k.
4
Let b(v) be the first derivative of -3*v**5/20 - 27*v**4/8 - 22*v**3 + 384*v - 461. Let b(u) = 0. What is u?
-8, -4, 2
Suppose 2 = 7*p - 6*p, -h - 3 = -p. Let m(b) = -6*b**3 + 12*b**2 + 15*b + 15. Let v(f) = 1 + f**3 - 3 + 1. Let g(i) = h*m(i) - 9*v(i). Factor g(c).
-3*(c + 1)**2*(c + 2)
Let n(y) be the second derivative of 3*y**7/14 + y**6 - 69*y**5/20 + 5*y**4/2 - 10*y. Determine x so that n(x) = 0.
-5, 0, 2/3, 1
Let d be (-114)/(-21) - 2 - 9/21. Suppose 6*u**2 - d*u**2 + 4*u - u**3 - u + 1 + 2*u**3 = 0. Calculate u.
-1
Let f(b) = 0 - 5*b**2 - 8*b + 2 + 0*b. Let t(y) = -y**2 - y + 1. Let x(c) = -f(c) + 2*t(c). Factor x(h).
3*h*(h + 2)
Factor -510/7*j - 92/7 - 22/7*j**2.
-2*(j + 23)*(11*j + 2)/7
Let b(n) = 13*n**2 + 79*n + 4. Let v(a) = 24*a**2 + 157*a + 7. Let z(s) = -7*b(s) + 4*v(s). Let z(d) = 0. Calculate d.
-15, 0
Let v(y) = 19*y**3 - 25*y**2 - 42*y + 2. Let b(i) = -9*i**3 + 12*i**2 + 21*i. Let x(d) = -5*b(d) - 3*v(d). Solve x(l) = 0.
-1, 1/4, 2
Let c = -65 + 68. Let p(u) = -u**3 - 18*u**2 - 18*u - 17. Let z be p(-17). Factor -2/3*s**c + 0 + 2/3*s**2 + z*s.
-2*s**2*(s - 1)/3
Let d be (-12)/5*(-33)/((-2475)/(-125)). Factor 0 - 3/7*f**3 + 0*f**d + 0*f**2 + 3/7*f**5 + 0*f.
3*f**3*(f - 1)*(f + 1)/7
Let y(o) be the first derivative of 12 + 0*o**2 + 2/33*o**3 - 2/11*o. Suppose y(l) = 0. What is l?
-1, 1
Let c(i) be the second derivative of 7/60*i**5 - 1/12*i**4 - 7/18*i**3 + 0 + 1/18*i**6 - 29*i - 1/3*i**2. Find d, given that c(d) = 0.
-1, -2/5, 1
Factor -25/2*k**2 - 7*k**3 + 0 - 6*k - 1/2*k**4.
-k*(k + 1)**2*(k + 12)/2
Let n(p) be the second derivative of 27*p - 11/3*p**4 - 17/15*p**6 - 14/5*p**5 - 8/3*p**3 - 4/21*p**7 - p**2 + 0. Find y, given that n(y) = 0.
-1, -1/4
Let c = -2/4559 - -31921/18236. Let x(h) be the first derivative of -7/2*h**2 - 2*h - h**3 + c*h**4 + 9 + h**5. Factor x(l).
(l - 1)*(l + 1)**2*(5*l + 2)
Let c(p) = -6*p**3 - 19*p**2 + 52*p - 24. Let b(v) = -20*v**3 - 56*v**2 + 156*v - 72. Let q(z) = -3*b(z) + 8*c(z). Factor q(y).
4*(y - 1)*(y + 3)*(3*y - 2)
Let g(w) be the third derivative of w**8/1344 - w**7/168 + w**6/80 + w**5/60 - w**4/12 - 227*w**2. Solve g(u) = 0 for u.
-1, 0, 2
Factor -5/7*g + 6/7 + 1/7*g**3 - 2/7*g**2.
(g - 3)*(g - 1)*(g + 2)/7
Let j(q) be the third derivative of q**6/600 - 2*q**5/75 - q**4/120 + 4*q**3/15 - 103*q**2. Factor j(r).
(r - 8)*(r - 1)*(r + 1)/5
Let l(s) be the third derivative of -s**8/336 + s**7/126 + 5*s**6/72 - s**5/4 + s**4/4 + 131*s**2. Let l(v) = 0. Calculate v.
-3, 0, 2/3, 1, 3
Let n = 15 - 13. Let i(y) be the third derivative of 0 - 1/30*y**6 - 17/96*y**4 + 1/12*y**3 + 1/6*y**5 + 0*y + 5*y**n. Determine w, given that i(w) = 0.
1/4, 2
Let b = -435/26 + -62/13. Let m = 131/6 + b. Factor m*g**5 + 1/3*g + 2*g**3 + 4/3*g**4 + 4/3*g**2 + 0.
g*(g + 1)**4/3
Let r(a) = a**2 - 9*a - 2*a - 3*a + a. Let h(n) = n**2 - 19*n. Let w(l) = -5*h(l) + 7*r(l). Determine o, given that w(o) = 0.
-2, 0
Suppose -z + 6*z = 35. Let c be 3*(-4)/3 + z. Determine m so that 6/5*m**c - 4/5*m**2 - 2/5*m**4 + 0 + 0*m = 0.
0, 1, 2
Let i = 29/150 - 2/75. Let x(f) be the second derivative of 4*f**2 - i*f**4 - 3*f + 1/20*f**5 - 2/3*f**3 + 0. Factor x(z).
(z - 2)**2*(z + 2)
Let w be ((-1728)/(-1280))/((-3)/(-5)). Let k(f) be the first derivative of 3/4*f**2 - w*f - 1/12*f**3 - 6. Factor k(q).
-(q - 3)**2/4
Let i(r) be the second derivative of -r**7/60 + r**6/20 - r**5/30 - 2*r**3/3 + 14*r. Let n(q) be the second derivative of i(q). Factor n(t).
-2*t*(t - 1)*(7*t - 2)
Let o(z) = z**2 + 3. Let k(b) = -b**3 - 7*b**2 + 12*b - 24. Let g(p) = -3*k(p) - 24*o(p). Factor g(s).
3*s*(s - 4)*(s + 3)
Let z(h) be the first derivative of -h**4/8 - h**3 + h**2/4 + 3*h - 73. Suppose z(a) = 0. What is a?
-6, -1, 1
Factor 233289*j + 3*j**3 - 275*j**2 + 1253*j**2 + 12519843 + 471*j**2.
3*(j + 161)**3
Let x(l) = -14*l**2 - 1384*l + 119716. Let m(s) = -3*s**2 - 346*s + 29929. Let b(j) = 18*m(j) - 4*x(j). Factor b(i).
2*(i - 173)**2
Let g = 99181/60 + -1653. Let l(a) be the second derivative of -9*a + 1/20*a**5 + 0*a**3 - g*a**6 + 0 + 0*a**4 + 0*a**2. Let l(v) = 0. Calculate v.
0, 2
Let s(b) be the third derivative of -b**7/25200 + b**6/1200 - b**5/240 + 7*b**4/8 - 32*b**2. Let q(r) be the second derivative of s(r). Factor q(v).
-(v - 5)*(v - 1)/10
Let f = 20231/5 + -4121. Let g = f + 75. Find c such that 0*c + 0 + 0*c**3 - g*c**2 + 1/5*c**4 = 0.
-1, 0, 1
Factor -193/4*r**3 - 1/4*r**5 + 120*r**2 + 0 - 64*r - 15/2*r**4.
-r*(r - 1)**2*(r + 16)**2/4
Let f(n) = -n**2 + 1. Let q(i) = -i**5 + i**4 + 17*i**3 + 16*i**2 - 16*i - 17. Let g(l) = -6*f(l) + 2*q(l). Determine t so that g(t) = 0.
-2, -1, 1, 5
Let g(j) be the first derivative of -j**3/2 + 15*j**2/2 + 36*j + 146. Solve g(m) = 0.
-2, 12
Let s be (-32)/(-36)*17*6/(-8). Let x = -11 - s. Solve -1/3*o**3 - 2/3*o**2 - x*o + 0 = 0.
-1, 0
Let p(t) be the second derivative of 0*t**4 + 0*t**6 + 0 + 0*t**2 + 0*t**3 - 1/130*t**5 - 9*t + 1/273*t**7. Suppose p(m) = 0. What is m?
-1, 0, 1
Let l = -63 - -67. Let r(z) be the second derivative of -2/15*z**3 + 1/150*z**6 + 2*z + 0 - 1/25*z**5 + 1/10*z**2 + 1/10*z**l. Factor r(m).
(m - 1)**4/5
Factor -1/2*s**2 - 40*s - 800.
-(s + 40)**2/2
Find g, given that -122/7*g - 24/7 - 10/7*g**2 = 0.
-12, -1/5
Let c = -12/2351 - -33094/35265. Factor -8/15*s**2 - 2/15*s + 0 - 8/3*s**4 + 12/5*s**3 + c*s**5.
2*s*(s - 1)**3*(7*s + 1)/15
Let r(k) be the third derivative of -k**7/70 + 17*k**6/40 - 21*k**5/10 - 65*k**4/2 - 100*k**3 - 115*k**2. Factor r(o).
-3*(o - 10)**2*(o + 1)*(o + 2)
Let u be -1 + (-111 - -5) + -4. Let x = u + 111. Determine d so that x*d**2 + 3/2*d**3 + 0 - 3/2*d = 0.
-1, 0, 1
Let k = 338 - 333. Let f(t) be the third derivative of 0*t + 0 - 5/9*t**4 - 4/9*t**3 - 23/90*t**k + 5*t**2 - 7/180*t**6. Find p, given that f(p) = 0.
-2, -1, -2/7
Let i(n) = -24*n**2 + 28*n - 5. Let q(v) = 34*v**2 - 42*v + 7. Let u(f) = 7*i(f) + 5*q(f). Determine r, given that u(r) = 0.
0, 7
Factor -8/7*y**4 + 1/7*y**5 + 0*y - 6/7*y**2 + 13/7*y**3 + 0.
y**2*(y - 6)*(y - 1)**2/7
Let b = 142/21 - 128/21. What is v in -b*v + 0*v**2 + 10/3*v**4 - 7/2*v**5 + 15/2*v**3 + 0 = 0?
-1, -1/3, 0, 2/7, 2
Let n(d) be the second derivative of d**5/5 - 14*d**4/3 - 62*d**3/3 - 32*d**2 - 36*d + 2. Solve n(y) = 0 for y.
-1, 16
Let s(c) be the second derivative of c**7/98 - c**6/105 - c**5/28 + c**4/21 - 207*c. Factor s(w).
w**2*(w - 1)**2*(3*w + 4)/7
Let o(r) be the second derivative of r**5/5 + 41*r**4/3 + 950*r**3/3 + 2166*r**2 + 406*r. Factor o(x).
4*(x + 3)*(x + 19)**2
Let q(t) = -11*t**2 - 24*t. Let f(z) = -z**2 + z. Let w(l) = 6*f(l) - q(l). Factor w(b).
5*b*(b + 6)
Let a = -374 + 1124/3. Let y(o) be the first derivative of a*o**6 + 0*o**2 + 3/2*o**4 + 0*o - 9/5*o**5 - 1/3*o**3 + 3. Determine q so that y(q) = 0.
0, 1/4, 1
Let p = 1/825 - -109/825. Factor -2/15*t**3 + 2/15*t**2 + p*t - 2/15.
-2*(t - 1)**2*(t + 1)/15
Let i(l) be the first derivative of -1/6*l**4 - 1/10*l**5 - 4*l + 7 + l**2 + 1/3*l**3. 