2)/7
Let t(k) be the second derivative of 0*k**2 + 2/25*k**5 + 0*k**3 + 0*k**4 - 2/15*k**6 - 7*k + 0. Factor t(a).
-4*a**3*(5*a - 2)/5
Find s such that -21*s + 0*s + s - 2*s**2 = 0.
-10, 0
Let s(c) = -c + 18. Let n be s(8). Factor r**5 + n*r**2 + 24*r**4 + 45*r**3 + 24*r**5 + 36*r**4.
5*r**2*(r + 1)**2*(5*r + 2)
Let n = -98 + 100. Determine u so that 5*u**2 + 162 - 31*u - 3*u**n + 67*u = 0.
-9
Let v(o) = -o**2 - 11*o - 6. Let f be v(-6). What is a in -48 - f*a - 5 + 3*a**2 + 26 = 0?
-1, 9
Suppose 26 = 4*p + 2*c + 2, 3*p - 7 = 4*c. Let i be ((-3)/p)/(144/(-120)). Find q, given that -1/2*q**2 + 0 + i*q = 0.
0, 1
Let f = 0 - -4. Suppose -2*y + f = -y. Factor -3*k**4 + 3*k**3 + 2*k**4 - 8*k**4 + 8*k**2 - y*k.
-k*(k + 1)*(3*k - 2)**2
Let o = 1033/6 - 172. Let d(r) be the third derivative of 0*r - o*r**3 - 1/210*r**7 + 2*r**2 + 0 - 1/10*r**5 - 1/30*r**6 - 1/6*r**4. Factor d(x).
-(x + 1)**4
Suppose 5*k - 3*k - 8 = 2*c, 0 = 3*c + 3. Suppose 0 = -3*n + 3*y + 6, 3*n + 5*y + 4 = 6*n. Determine m, given that -k + 0 - 5 + 2*m**2 + 2*m**n + 4*m**2 = 0.
-2, 1
Let y(z) be the first derivative of -2*z**5/5 + 3*z**4/2 + z**3/2 - 5*z**2/2 + 3*z/2 - 73. Solve y(t) = 0.
-1, 1/2, 3
Let d = -2921/7 - -2923/7. Factor d*o**2 + 0 - 4/7*o.
2*o*(o - 2)/7
Let o(a) be the third derivative of -a**5/66 - 8*a**4/33 - 16*a**3/11 - 27*a**2 + 2. Suppose o(i) = 0. Calculate i.
-4, -12/5
Let x = 129 + -773/6. Let p(d) be the first derivative of -1/2*d - x*d**3 + 1/2*d**2 + 1. Suppose p(w) = 0. What is w?
1
Suppose -5*q + 2*k + 181 = 0, -3*k + 55 = -5*q + 239. Factor 8*z**2 - q*z**2 - 8*z - 4*z.
-3*z*(9*z + 4)
Let d(z) = 18*z + 4*z**2 + 5*z**2 + 27 - 8*z**2. Let b(i) = i**2. Let x(c) = -2*b(c) - d(c). What is n in x(n) = 0?
-3
Let b(h) be the second derivative of 0 - 3*h + 13/16*h**4 - 6*h**3 - 3/80*h**5 + 27/2*h**2. Factor b(a).
-3*(a - 6)**2*(a - 1)/4
Let z(h) be the second derivative of h**6/300 - h**4/20 - 2*h**3/15 + 7*h**2/2 + 9*h. Let v(t) be the first derivative of z(t). Factor v(g).
2*(g - 2)*(g + 1)**2/5
Let g be -1 - 14/(-10) - (2304/(-90) - -22). Factor 1/2*c + 1/4*c**g + 3/4 - 1/2*c**3 - c**2.
(c - 3)*(c - 1)*(c + 1)**2/4
Let d(r) be the first derivative of 11 - 4/27*r**3 + 16/9*r + 1/18*r**4 - 4/9*r**2. Factor d(g).
2*(g - 2)**2*(g + 2)/9
Let d(q) = 6*q**4 - 41*q**3 + 77*q**2 - 65*q + 23. Let z(n) = 3*n**4 - 20*n**3 + 38*n**2 - 32*n + 11. Let k(c) = -2*d(c) + 5*z(c). Suppose k(s) = 0. What is s?
1, 3
Find c such that 0 - 11/5*c**3 - 32/5*c**2 - 28/5*c - 1/5*c**4 = 0.
-7, -2, 0
Let f be 5/20 + -2*(-5)/(-40). Let d(x) be the second derivative of 0 + 1/20*x**4 + 0*x**5 - 1/15*x**3 - 8*x - 1/150*x**6 + f*x**2. Solve d(o) = 0.
-2, 0, 1
Let z(f) = 53*f**3 + 84*f**2 - 67*f - 36. Let g(s) = -18*s**3 - 28*s**2 + 22*s + 12. Let r(u) = -17*g(u) - 6*z(u). Factor r(i).
-4*(i - 1)*(i + 3)*(3*i + 1)
Let y(i) = -6*i**5 + 14*i**4 - 16*i**3 - 6*i**2 + 22*i - 10. Let o(g) = -g**5 - g**4 + g**2 + g - 1. Let c(j) = 2*o(j) - y(j). Factor c(b).
4*(b - 2)*(b - 1)**3*(b + 1)
Let o(l) be the first derivative of -l**6/57 + 2*l**5/19 - 3*l**4/38 - 10*l**3/57 + 4*l**2/19 - 36. Solve o(v) = 0.
-1, 0, 1, 4
Let o(x) = -7*x + x**2 - 2 - 4 + 15. Let g be o(6). Let -4*s**2 - 11*s**3 - 14*s**g + 23*s**3 = 0. What is s?
-2, 0
Let l(t) be the first derivative of 2/3*t**2 - 7 + 2/9*t**3 + 2/3*t. Determine h, given that l(h) = 0.
-1
Let d(x) be the second derivative of -x**4/60 + 35*x**3/3 - 6125*x**2/2 + 76*x - 2. What is l in d(l) = 0?
175
Factor -45*v**3 + 130*v**2 + 9*v**4 - 13*v**4 + 9*v**4 - 17*v - 103*v.
5*v*(v - 4)*(v - 3)*(v - 2)
Let x(d) be the second derivative of 14*d**6/15 + 2*d**5/5 - 7*d**4/3 - 4*d**3/3 + 4*d. Factor x(v).
4*v*(v - 1)*(v + 1)*(7*v + 2)
Suppose -134*g = -104*g - 90. Suppose 0 - 4/15*n**2 + 0*n - 2/15*n**g + 2/15*n**4 = 0. Calculate n.
-1, 0, 2
Factor 2*k**2 + 0*k**2 + 5989*k**3 - 36*k - 5985*k**3 - 2*k**2.
4*k*(k - 3)*(k + 3)
Let z(x) = x + 1. Let j(a) = -2*a - 7. Let k be j(-5). Let v(c) = 4*c**2 + 3*c - c**3 + 12*c**2 - 27*c + 4 - k*c**3. Let r(p) = v(p) + 4*z(p). Factor r(s).
-4*(s - 2)*(s - 1)**2
Let a(n) be the third derivative of n**6/160 + 9*n**5/80 - 9*n**4/8 + 144*n**2. Factor a(x).
3*x*(x - 3)*(x + 12)/4
Factor 127*k - 38 - 40*k - 2*k**3 - 34*k**2 - 13*k + 0*k**3.
-2*(k - 1)**2*(k + 19)
Let a(s) = s**3 - 9*s**2 + s + 1. Let r be a(9). Factor -5*o**3 + 5*o - 32*o**2 - 6*o + r*o**2 + 2 + 14*o**2.
-(o + 1)**2*(5*o - 2)
Let y(b) be the second derivative of 0*b**3 + 0*b**2 + 0 + 0*b**6 + 2/21*b**7 + 2/3*b**4 - 3/5*b**5 + 13*b. Factor y(q).
4*q**2*(q - 1)**2*(q + 2)
Determine u, given that 22*u**3 + 17*u**2 + 41*u**2 - 64*u - 3*u**4 - 2*u + u**4 - 12*u = 0.
-3, 0, 1, 13
Let a(p) be the second derivative of p**5/10 + 21*p**4/2 + 441*p**3 + 9261*p**2 - 89*p. Factor a(s).
2*(s + 21)**3
Factor 173*k**2 - 14*k**3 + 2*k**4 - 10 - 26 + 6*k - 147*k**2.
2*(k - 3)**2*(k - 2)*(k + 1)
Let x(g) be the third derivative of 1/4*g**4 + 1/6*g**3 - 1/60*g**6 + 0*g - 1/84*g**8 + 2/15*g**5 - 3/70*g**7 + 0 - 19*g**2. Find k, given that x(k) = 0.
-1, -1/4, 1
Let m(r) = -4*r - 6 - 26*r**4 + 4*r**2 - 16*r**4 + 44*r**4. Let k(v) = -v**4 - 4*v**2 + 3*v + 5. Let d(u) = -4*k(u) - 3*m(u). Factor d(f).
-2*(f - 1)**2*(f + 1)**2
Let b be (198/(-4))/(-11)*(-2)/(-3). Factor 75*m - 14*m**2 - 6*m**2 + 0*m**2 - 10*m**2 + 3*m**b.
3*m*(m - 5)**2
Let u(p) be the second derivative of p**7/126 - p**6/30 - p**5/10 + 5*p**4/18 + 7*p**3/6 + 3*p**2/2 - 12*p + 26. Solve u(t) = 0 for t.
-1, 3
Let b(s) be the third derivative of s**5/180 - 5*s**4/18 + 7*s**2 - 12. Factor b(o).
o*(o - 20)/3
Let q(s) be the third derivative of -s**6/600 - s**5/300 + s**4/120 + s**3/30 + 48*s**2. Factor q(k).
-(k - 1)*(k + 1)**2/5
Let i be (3/(-2))/(1323/84 + -16). Let q(f) be the first derivative of 49/4*f**6 + 63/10*f**5 + 30*f**3 - 183/4*f**4 - i*f**2 + 0*f + 11. What is t in q(t) = 0?
-2, 0, 2/7, 1
Let m(f) be the second derivative of -14*f + 1/12*f**3 + 5/48*f**4 + 0*f**2 + 1/20*f**5 + 1/120*f**6 + 0. Factor m(o).
o*(o + 1)**2*(o + 2)/4
Suppose -11*y + 26 = -9*y. Suppose 13 - y = -5*i. Factor i + 2/3*h**2 + 1/6*h**3 + 2/3*h.
h*(h + 2)**2/6
Let d(c) = 25*c - 6. Let j(i) = -i**2 + 25*i - 6. Let l(z) = -2*d(z) + 3*j(z). Let b be l(8). Find p, given that -50/7 + 20/7*p - 2/7*p**b = 0.
5
What is a in 5/2*a**2 - 215*a + 9245/2 = 0?
43
Solve 1/4*b**2 + b - 21/4 = 0 for b.
-7, 3
Factor -18/5*l - 3*l**2 + 3/5*l**3 + 0.
3*l*(l - 6)*(l + 1)/5
Let d(l) = -l**3 + 14*l + 11. Let z be d(-5). Let v = 68 - z. Factor 0 - 1/4*m**v - 1/4*m.
-m*(m + 1)/4
Factor 2*b**3 - 4285 + 1085 + 2*b**3 - 168*b**2 + 2246*b - 326*b.
4*(b - 20)**2*(b - 2)
Let q(o) be the second derivative of 5*o**4/12 + 5*o**3 - 40*o**2 + 18*o + 1. Factor q(s).
5*(s - 2)*(s + 8)
Let k be (6/165)/(708/2596). What is h in 0 + 4/15*h + 2/15*h**2 - k*h**3 = 0?
-1, 0, 2
Let a(b) = 120*b - 957. Let j be a(8). Let -4/5*m**5 - 8/5 + 4*m - 16/5*m**j - 8/5*m**2 + 16/5*m**4 = 0. What is m?
-1, 1, 2
Factor 6*x - 1/4*x**2 + 25/4.
-(x - 25)*(x + 1)/4
Let x(d) = -d - 5. Let y be x(-17). Solve -16*s**2 + 15*s**2 + 18 - 9 - 20*s**2 - y*s = 0.
-1, 3/7
Let z be 0 - 21/(-50) - (-17 - -17). Let r = z + 2/25. Factor r*t**2 + 1 + 3/2*t.
(t + 1)*(t + 2)/2
Let k(o) be the first derivative of -o**6/320 + o**5/160 + o**4/32 + o**2/2 + 2. Let l(f) be the second derivative of k(f). Factor l(t).
-3*t*(t - 2)*(t + 1)/8
Let y(z) = -3*z - 16. Let w be y(-6). Factor -4 - 5*a**w - 20 + 30*a - 21.
-5*(a - 3)**2
Let r(a) = -7*a**3 - 3*a - 6. Let n(g) = g**3 - g**2 - g + 1. Let x = 3 + 3. Let w(m) = x*n(m) + r(m). Factor w(t).
-t*(t + 3)**2
Let q(g) be the third derivative of g**9/4032 - 3*g**8/2240 + g**6/120 - 11*g**3/6 + 11*g**2. Let x(w) be the first derivative of q(w). Factor x(t).
3*t**2*(t - 2)**2*(t + 1)/4
Let w(x) be the first derivative of x**3/9 - 2*x**2 + 477. Factor w(z).
z*(z - 12)/3
Suppose 0 = -2*s + 1 + 1, -j + 5*s - 9 = 0. Let y be (-6)/j*(-16)/(-36). Factor 4/3*a**4 + y*a**2 - 1/3*a**5 - 5/3*a**3 + 0*a + 0.
-a**2*(a - 2)*(a - 1)**2/3
Let i = 1618 + -14528/9. Let s(y) be the second derivative of -55/12*y**5 + 35/6*y**4 + 0 + 4/3*y**2 - 8*y + 25/18*y**6 - i*y**3. Factor s(c).
(c - 1)*(5*c - 2)**3/3
Let v = 16 + -12. Determine q so that 24*q - 38*q + 2*q**2 + 16*q - 2*q**v - 2*q**3 = 0.
-1, 0, 1
Let t = -