ivative of f**7/70 - 159*f**6/10 + 75843*f**5/10 - 4019679*f**4/2 + 639128961*f**3/2 + f**2 - 406*f. Factor g(r).
3*(r - 159)**4
Let y(o) be the second derivative of 35*o**7/2 - 427*o**6/6 + 153*o**5/2 - 35*o**4 + 20*o**3/3 - 5*o + 6. Determine v so that y(v) = 0.
0, 2/7, 1/3, 2
Suppose -4*w - w = -4*m - 10, -6 = -3*w + 4*m. Suppose -2 = 4*y - 134. Factor -3*j**5 + w - 15*j - 5 + 3*j**2 - 15*j**4 - 30*j**3 - y*j**2.
-3*(j + 1)**5
Let w be (-1)/((-25)/(-2070)*3). Let r = w - -28. Find o, given that 16/5*o**2 - 8/5*o - 2*o**3 + r*o**4 + 0 = 0.
0, 1, 2
Let c = -42882 - -42884. Let -1/2 + 0*a**c - a + a**3 + 1/2*a**4 = 0. What is a?
-1, 1
Let p(q) = -q**3 + q - 2. Let c be p(-2). Suppose -z - 2*j = -5*z, 4*j = c*z + 8. Let 3/7*h**z + 12/7 + 12/7*h = 0. What is h?
-2
Let n(b) be the second derivative of 0*b**5 - 1/56*b**4 + 0 + 1/280*b**6 - b + 0*b**3 + 3/2*b**2. Let s(q) be the first derivative of n(q). Factor s(m).
3*m*(m - 1)*(m + 1)/7
Suppose 14*j = -s + 16*j, -s = 5*j - 7. Let o(v) be the first derivative of 2/55*v**5 + 2/11*v**s + 10/33*v**3 - 6 + 0*v + 2/11*v**4. Factor o(h).
2*h*(h + 1)**2*(h + 2)/11
Let k be 8/(-40)*(-7 + 1). Let j = -223/45 + 50/9. Suppose -j*m**4 + 3*m - 3/5*m**3 + 9/5*m**2 + k = 0. What is m?
-1, 2
Let q = -2803/4 - -701. Let c(s) be the second derivative of 0 - q*s**4 + s - 3*s**3 - 27/2*s**2. Factor c(g).
-3*(g + 3)**2
Let w(f) = f**3 + 15*f**2 - 16*f + 36. Let g be w(-14). Let s = g + -5924/13. Let 2/13*p - 2/13*p**2 + s = 0. What is p?
-1, 2
Let r = 15/8 - 11/8. Let g = 8/379 - -363/758. Factor 0*b - g*b**3 + r*b**5 + 1/2*b**4 - 1/2*b**2 + 0.
b**2*(b - 1)*(b + 1)**2/2
Let h(t) be the third derivative of 0 + 1/40*t**6 + 5/2*t**4 - 2/5*t**5 - 38*t**2 + 0*t - 8*t**3. Determine s so that h(s) = 0.
2, 4
Let s = 125 - 134. Let t be -6 - 93/s - 4. Factor 0*r + t*r**2 - 1/3.
(r - 1)*(r + 1)/3
Let o(n) be the second derivative of 7/4*n**4 + 19/20*n**5 + 3/2*n**3 + 1/5*n**6 + 9*n + 1/2*n**2 + 0. Factor o(k).
(k + 1)**3*(6*k + 1)
Let t = -754 + 760. Let m(r) be the second derivative of 0*r**3 - 1/210*r**7 + 0 + 1/30*r**4 + 2/75*r**t - 1/20*r**5 + 0*r**2 + 7*r. Factor m(f).
-f**2*(f - 2)*(f - 1)**2/5
Suppose 18*h - 19*h + 26 = 0. Suppose -4*n + 4 = -r + h, -n = 2*r + 1. Solve -r + 2*j - 1/2*j**2 = 0.
2
Let -t**3 + 5*t - 22*t - 18*t**2 - 2*t**3 - 19*t - 24 = 0. Calculate t.
-2
Find v, given that 17068*v**2 - 16129 - 17069*v**2 - 184*v - 70*v = 0.
-127
Suppose 3*v - 5*q - 50 = -2*v, 5*q + 2 = v. Factor 0*t**2 + 0*t**2 + 8*t**3 - 4 - 12*t - 12*t**2 - v*t**3.
-4*(t + 1)**3
Let a(w) be the second derivative of w**6/150 - w**5/50 - 2*w**4/15 + 3*w**3/5 - 9*w**2/10 + 115*w. Factor a(g).
(g - 3)*(g - 1)**2*(g + 3)/5
Let a(y) be the second derivative of -3*y**4/4 - 5*y**3/4 + 33*y**2/4 - y + 75. Factor a(f).
-3*(f - 1)*(6*f + 11)/2
Let f(g) = 5*g**4 + 10*g**3 + 6*g**2 + 9*g + 1. Let s(x) = x**4 + 2*x**3 - x - 1. Let m(c) = -f(c) + 7*s(c). Factor m(i).
2*(i - 2)*(i + 1)**2*(i + 2)
Factor 5*g - 4*g + 3*g**2 + 6*g - 36 - 4*g.
3*(g - 3)*(g + 4)
Let c(o) be the second derivative of 49/2*o**2 - 11/70*o**5 + 1/210*o**6 - 35/3*o**3 + 0 + 2*o**4 - 27*o. Factor c(m).
(m - 7)**3*(m - 1)/7
Let z(b) be the third derivative of -b**5/150 + b**4/6 + 11*b**3/15 + b**2 + 59. Let z(l) = 0. What is l?
-1, 11
Let q(m) be the third derivative of 0 + 4/15*m**3 + 0*m**4 + 0*m - 1/300*m**6 - 11*m**2 - 1/50*m**5. Solve q(i) = 0.
-2, 1
Let f(h) be the third derivative of -h**5/90 + 3*h**4/2 - 81*h**3 - 61*h**2. Factor f(y).
-2*(y - 27)**2/3
Suppose -2*m = 4*w + 78, 4*m + 124 = -5*w + 25. Let i = 22 + w. Factor x**4 + 0*x**3 - i*x**2 - 3*x**2 + 2*x**4 + 3*x**3.
3*x**2*(x - 1)*(x + 2)
Let j be (-3 - -6) + -3 - -4. Factor 341 - 3*r**5 - 3*r**2 - 341 + 3*r**j + 3*r**3.
-3*r**2*(r - 1)**2*(r + 1)
Let b(l) = 3*l**2 + 7*l - 2. Let h(u) = -4*u**2 - 8*u + 2. Suppose -n = 5, -3*m - 1 = 3*n + 2. Let g(w) = m*h(w) + 5*b(w). Factor g(j).
-(j - 2)*(j - 1)
Let u(l) be the third derivative of -l**11/2328480 + l**9/423360 + 7*l**5/30 + 2*l**2. Let w(c) be the third derivative of u(c). Factor w(y).
-y**3*(y - 1)*(y + 1)/7
Let y(j) = j**3 + j**2 - j. Let s(r) = 3*r**3 + 9*r**2 - 4*r. Let n(g) = s(g) - 4*y(g). Factor n(z).
-z**2*(z - 5)
Let i(u) be the second derivative of 9/20*u**5 - 1/14*u**7 - 1/10*u**6 + 8*u - u**3 + 1/4*u**4 + 0 + 0*u**2. Find w, given that i(w) = 0.
-2, -1, 0, 1
Let o(i) be the first derivative of 5*i**4 - 32*i**3/3 - 38*i**2 - 24*i + 39. Determine l so that o(l) = 0.
-1, -2/5, 3
Let b(l) be the third derivative of 0*l**3 - 1/2016*l**8 + 1/72*l**4 + 7*l**2 + 1/72*l**5 - 1/1260*l**7 + 0 + 1/240*l**6 + 0*l. Factor b(u).
-u*(u - 2)*(u + 1)**3/6
Let i(n) = 30 - 6*n**2 - 5*n - 17 + 5*n**3 - 16. Let j(b) = -24*b**3 + 30*b**2 + 26*b + 14. Let h(f) = 28*i(f) + 6*j(f). Factor h(k).
-4*k*(k - 4)*(k + 1)
Let s(q) = q**3 - q - 1. Let w(t) = 8*t**3 + 3*t**2 - 5*t - 5. Let y(b) = -5*s(b) + w(b). Factor y(f).
3*f**2*(f + 1)
Let z = 148 - 159. Let u be (-2)/z + 3 + 820/(-275). Factor -1/10*c**5 - 1/2*c**2 + 3/10*c**3 + u*c + 1/10*c**4 + 0.
-c*(c - 1)**3*(c + 2)/10
Let k(s) be the third derivative of -s**8/26880 - s**7/5040 - s**6/2880 + 7*s**4/8 - 22*s**2. Let p(o) be the second derivative of k(o). Factor p(q).
-q*(q + 1)**2/4
Let y = -12 + 17. Factor -p**3 + 4*p + 25*p**y - 9*p**3 - p**3 - 30*p**4 + 12*p**2.
p*(p - 1)**2*(5*p + 2)**2
Let z(s) be the first derivative of s**5/40 - s**4/8 + 12*s + 11. Let m(f) be the first derivative of z(f). Factor m(n).
n**2*(n - 3)/2
Let g = 22538 - 22534. Factor -2/3*i**3 + 3*i + 1/3*i**5 + 4*i**2 + 0 - 4/3*i**g.
i*(i - 3)**2*(i + 1)**2/3
Let f = -123 + 121. Let p be 2 - (4 + -3)/f. Solve -30*i - p*i**3 + 15*i**2 + 20 = 0.
2
Let b(k) be the first derivative of k**5/10 - 17*k**3/6 - 9*k**2 - 10*k + 145. Factor b(n).
(n - 5)*(n + 1)*(n + 2)**2/2
Let u be (-108)/(-24) - 16 - -12. Factor u*z**3 + 1/4*z**4 + 0*z**2 + 0*z + 0.
z**3*(z + 2)/4
Let q be (1/(-2))/((-2)/12) + 3. Let b(j) be the second derivative of 0 + 0*j**2 - 4*j + 1/10*j**4 + 1/15*j**3 + 1/75*j**q + 3/50*j**5. Let b(f) = 0. What is f?
-1, 0
Let r(k) be the third derivative of 1/80*k**6 + 3/16*k**3 + 0 + 0*k - 31*k**2 - 3/32*k**5 + 1/8*k**4. Factor r(u).
3*(u - 3)*(u - 1)*(4*u + 1)/8
Factor -2/9*s**3 + 8 + 14/3*s - 34/9*s**2 + 2/9*s**4.
2*(s - 3)**2*(s + 1)*(s + 4)/9
Let c(l) be the second derivative of -l**5/10 + l**4/6 + 2*l**3/3 + 114*l. Factor c(j).
-2*j*(j - 2)*(j + 1)
Let b = 325 - 6499/20. Let l(m) be the second derivative of b*m**4 + 3*m + 0 - 3/100*m**5 + 1/5*m**3 + 0*m**2. Suppose l(v) = 0. What is v?
-1, 0, 2
Let t be 1*(-60)/125*(-3 - 5 - 12). Determine z so that 32/5*z**3 - t*z**2 - 4/5 - 6*z = 0.
-1/4, 2
Suppose 9 = 3*x - 3*o, x - 2*o + 7*o = -15. Suppose 0 = -2*k + 7 - 3. Solve -6*l**2 - 5*l + l + x*l**2 - k*l**3 = 0.
-2, -1, 0
Let g(k) = 3*k + 1. Let o = -1 + 3. Let q be g(o). Factor -2*t**4 + 16 - t**3 - 9*t**3 + q*t - 12*t**2 + t.
-2*(t - 1)*(t + 2)**3
Let i = -104 + 103. Let m be 4*(-4 - (-156)/40)*i. Find r, given that 0 + m*r**2 - 2/5*r**4 + 1/5*r**3 - 1/5*r = 0.
-1, 0, 1/2, 1
Suppose -1/5*p**2 + 54/5 - 3*p = 0. Calculate p.
-18, 3
Let r(w) be the second derivative of w**10/10080 - w**9/1680 + 3*w**8/2240 - w**7/840 - 5*w**4/12 + 9*w. Let x(g) be the third derivative of r(g). Factor x(s).
3*s**2*(s - 1)**3
Let d = -7/277 - -575/831. What is f in -2 + 8/3*f**2 - d*f = 0?
-3/4, 1
Suppose 28*h - 241 = -185. Let y = -1/16 + 3/16. Factor 1/8 - 1/4*d + y*d**h.
(d - 1)**2/8
Let o(p) be the second derivative of -p**5/40 - 7*p**4/72 + p**3/6 + 28*p. Solve o(w) = 0.
-3, 0, 2/3
Let h = -13 - -21. Let m = 12 - h. Factor 0*i**3 + i**4 + 4*i - m*i + i**2 - 2*i**3.
i**2*(i - 1)**2
Let t = 19273/5506 - 1/2753. Factor 11/3*r**2 + t*r**3 - 1/6*r - 1/3.
(r + 1)*(3*r + 1)*(7*r - 2)/6
Let r(c) be the third derivative of -c**6/10 - 2*c**5/3 - c**4/6 + 4*c**3 - 115*c**2 - c. Let r(y) = 0. Calculate y.
-3, -1, 2/3
Suppose -34 = -4*x - 2*c, -6*c + 4*c = 5*x - 43. Suppose x*v = 45 - 45. Factor 1/6*d + 1/2*d**3 - 1/2*d**2 + v - 1/6*d**4.
-d*(d - 1)**3/6
Suppose -6*j + j = -20. Find a such that -4*a**3 + j*a**3 - 3*a**3 + 6*a**2 = 0.
0, 2
Let q be 5/2*(10 + -8). Suppose 14 = q*t - 1. Solve -t - 7*b**2 - b**2 + 5*b**2 - 6*b = 0.
-1
Let t(a) be the first derivative of a**5 - 55*a**3/3 +