 5*j - 2*j**2 - j**5.
-(j - 2)*(j - 1)**3*(j + 1)
Determine l, given that 0*l**3 - 2*l**3 + 3 - 3 - 2*l**4 = 0.
-1, 0
Let k(m) be the second derivative of -m - 1/6*m**4 + 0 + 0*m**3 + m**2. Factor k(j).
-2*(j - 1)*(j + 1)
Let m(w) = -17*w**3 + 81*w**2 + 17*w - 81. Let s(p) = 4*p**3 - 20*p**2 - 4*p + 20. Let i(k) = -2*m(k) - 9*s(k). Factor i(j).
-2*(j - 9)*(j - 1)*(j + 1)
Let d(b) be the third derivative of 0*b + 0 - 1/3*b**3 - 5*b**2 + 7/60*b**5 - 5/24*b**4. Factor d(a).
(a - 1)*(7*a + 2)
Let p(g) = 5*g**3 - 5*g**2 + 6. Let k(f) = 6*f**3 - 6*f**2 + 7. Let w(x) = -6*k(x) + 7*p(x). Factor w(a).
-a**2*(a - 1)
Let s(c) = -1. Let f(n) = 6*n**2 + 2*n - 26. Let z(t) = 2*f(t) - 44*s(t). Factor z(p).
4*(p + 1)*(3*p - 2)
Let h(p) be the third derivative of 0*p + 0 - 1/60*p**5 + 0*p**4 + 0*p**3 - p**2. Find n, given that h(n) = 0.
0
Let k(z) be the second derivative of z**5/110 + z**4/11 + 4*z**3/11 + 8*z**2/11 - 31*z. Let k(b) = 0. Calculate b.
-2
Let c(x) be the third derivative of -x**5/130 + x**4/39 - x**3/39 + 6*x**2. Factor c(r).
-2*(r - 1)*(3*r - 1)/13
Solve 3/5*m + 0 - 3/5*m**2 = 0.
0, 1
Let b(s) be the first derivative of 2*s**3/39 - s**2/13 + 9. Solve b(x) = 0 for x.
0, 1
Let p = 13 + -25/2. Let k(g) be the first derivative of -2/3*g**3 + 3 + 1/6*g**6 + 0*g + 0*g**4 + 2/5*g**5 - p*g**2. Factor k(c).
c*(c - 1)*(c + 1)**3
Let k be (9/(-3))/(6/(-8)). Solve 4*d**2 - 3 - 2*d + 1 + d**k - 3*d**4 + 24*d**3 - 20*d**3 - 2*d**5 = 0.
-1, 1
Find c, given that -3 - 2 + 1 + 2 + 3*c - c**3 = 0.
-2, 1
Let t(x) = -2*x**3 - 2*x**2 - 2*x - 6. Let b(y) = 5*y**3 + 5*y**2 + 6*y + 17. Let d(g) = 4*b(g) + 11*t(g). Factor d(j).
-2*(j - 1)*(j + 1)**2
Factor 7*c**2 - 32 + 42 - 10*c - 25 - 2*c**2.
5*(c - 3)*(c + 1)
Factor r**4 - 2*r - 3*r**2 + 0*r + 4*r + 0*r.
r*(r - 1)**2*(r + 2)
Let h(o) be the first derivative of o**4/4 + 2*o**3/3 + o**2/2 - 9. Find j such that h(j) = 0.
-1, 0
Let q(t) = 2*t**3 + 22*t**2 - 24*t. Let j(v) = 5*v**3 + 64*v**2 - 71*v. Let i(a) = -4*j(a) + 11*q(a). Factor i(c).
2*c*(c - 5)*(c - 2)
Let f(k) be the second derivative of 13/50*k**5 + 0 + 11/30*k**4 + 0*k**2 + k + 2/15*k**3 + 4/75*k**6. Determine s, given that f(s) = 0.
-2, -1, -1/4, 0
Let v(x) be the first derivative of x**4/14 - 2*x**3/21 - 2*x**2/7 + 3. Determine o so that v(o) = 0.
-1, 0, 2
Let 2/7*c**2 - 8/7*c + 8/7 = 0. What is c?
2
Let p be 2 - -2*(2 - -2). Let z be 84/35 + 6/p. Solve -1 + t - 6*t**2 + 2*t**z - 3*t**3 + 7*t**2 = 0 for t.
-1, 1
Let v(j) = -j**3 - 4*j**2 + 8*j + 7. Let c be v(-5). Let q be ((-3)/(-24))/((-2)/c). Factor q*b**4 + 1/2*b**2 + 3/2*b**3 - 1 - 3/2*b.
(b - 1)*(b + 1)**2*(b + 2)/2
Factor 0 - 1/2*t**2 + 0*t - 13/4*t**3 - 21/4*t**4.
-t**2*(3*t + 1)*(7*t + 2)/4
Let f(s) be the first derivative of 2*s**4/11 - 14*s**3/33 - 2*s**2/11 - 4. Factor f(q).
2*q*(q - 2)*(4*q + 1)/11
Let r(w) be the third derivative of -w**7/2100 + w**5/100 + w**4/30 + 2*w**3/3 + 6*w**2. Let d(q) be the first derivative of r(q). Factor d(f).
-2*(f - 2)*(f + 1)**2/5
Suppose -6*a = -5*a + 6. Let r = 8 + a. Factor 24*m**4 - 6*m**3 + r*m**2 - 6*m**2 + 0*m**2 - 14*m**5.
-2*m**2*(m - 1)**2*(7*m + 2)
Let t(x) be the third derivative of -1/945*x**7 + 0*x**4 + x**2 + 0 + 0*x**5 + 0*x + 0*x**3 + 1/540*x**6. Factor t(s).
-2*s**3*(s - 1)/9
Suppose -2*z - 43 - 5 = 0. Let b be (-3)/5*z/18. What is y in b + 4/5*y + 1/5*y**2 = 0?
-2
Suppose 2*g + 3 = 11. Suppose -4*b + 3*b = 3*l - 6, 3*b = l - 12. Factor 2*m**l - g*m**3 - 2*m**2 + 5*m - m.
-2*m*(m - 1)*(m + 2)
Let d be (-2)/(1 + (-9)/3). Let o be (-2)/7*(-4)/d. Find f, given that 2/7*f**3 + 0*f + 6/7*f**2 - o = 0.
-2, 1
Let p = -293 + 295. Suppose -2/5*y + 0 + 2/5*y**p = 0. What is y?
0, 1
Let u be (-12)/(-54)*24/2. Factor -2/3*l**3 + 0 + 8/3*l**2 - u*l.
-2*l*(l - 2)**2/3
Suppose 2/7*c**2 + 0*c - 2/7 = 0. What is c?
-1, 1
Let a(i) be the third derivative of i**9/10584 - i**7/1470 + i**5/420 + i**3/2 - 3*i**2. Let y(w) be the first derivative of a(w). Factor y(v).
2*v*(v - 1)**2*(v + 1)**2/7
Let o(k) be the third derivative of k**6/30 + 2*k**5/15 + k**4/6 + 8*k**2. Find h, given that o(h) = 0.
-1, 0
Suppose 0 = -2*d - 3 + 1. Let c be -3*4/18*d. Factor 2/3 + c*x**2 - 4/3*x.
2*(x - 1)**2/3
Let s(a) = 5*a**2 - 46*a + 74. Let c(d) = -5*d**2 + 45*d - 75. Let n(m) = -6*c(m) - 5*s(m). Let n(z) = 0. What is z?
4
Suppose 4*t = 12 - 0. Factor -6*v**4 + 60 - 6*v - 3*v**2 - t*v**2 + 14*v**3 - 56.
-2*(v - 1)**3*(3*v + 2)
Let u = -21235/4 - -5279. Let p = 30 + u. Determine j so that -13/4*j**3 - 9/4*j**2 - 5/4*j**4 + p*j + 1/2 = 0.
-1, 2/5
Let v = -2/377 - -3401/1508. Factor -1/4 - 6*x**2 - 4*x**3 - v*x.
-(x + 1)*(4*x + 1)**2/4
Let f(w) = w**3 - 20*w**2 + 19*w - 9. Let r be f(19). Let a be 2*(-6)/r - 1. What is v in 0 - v**3 - 1/3*v + a*v**4 + v**2 = 0?
0, 1
Let t(l) be the third derivative of 1/30*l**5 + 0*l**4 + 5*l**2 + 1/24*l**6 + 0 + 0*l**3 + 0*l. Find q, given that t(q) = 0.
-2/5, 0
Let v(d) = -d**2 + 5*d - 4. Let i be v(3). Factor -i*n + 0*n**3 - n**3 - n + 4*n.
-n*(n - 1)*(n + 1)
Suppose 6*p = 2*p + 8. Let t = 723 + -5053/7. Factor 8/7*g**p + 12/7*g**3 + t*g**4 + 2/7*g**5 + 0 + 2/7*g.
2*g*(g + 1)**4/7
Let o(t) be the third derivative of 0 + 1/10*t**5 - 4*t**2 + 0*t + 1/3*t**3 - 3/20*t**6 + 5/12*t**4. Factor o(q).
-2*(q - 1)*(3*q + 1)**2
Let g = 470/9 - 52. Factor -g*b + 0 + 2/9*b**2.
2*b*(b - 1)/9
Let y(c) be the third derivative of -c**7/7560 - c**4/12 + 3*c**2. Let w(x) be the second derivative of y(x). Solve w(g) = 0 for g.
0
Let t = -1 - -5. Suppose -3*f = -4*f + t. Let f*j**2 - 7*j + 6*j + 3*j + 2*j**3 = 0. Calculate j.
-1, 0
Let w(h) be the first derivative of h**6/90 - h**4/6 - 7*h**3/3 - 3. Let r(z) be the third derivative of w(z). Suppose r(m) = 0. Calculate m.
-1, 1
Let n(q) be the second derivative of -q**6/360 + q**5/120 + q**4/12 - q**3/3 + 3*q. Let s(u) be the second derivative of n(u). What is m in s(m) = 0?
-1, 2
Let a(b) be the second derivative of b**7/42 - b**6/15 + b**4/6 - b**3/6 - 58*b. Factor a(w).
w*(w - 1)**3*(w + 1)
Let f(z) be the second derivative of 3*z**6/25 + 3*z**5/50 - z**4/15 - 14*z. Factor f(p).
2*p**2*(3*p - 1)*(3*p + 2)/5
Let d(t) be the second derivative of 4*t**6/15 + t**5/5 - t**4/3 + 10*t. Factor d(r).
4*r**2*(r + 1)*(2*r - 1)
Let h = 137891/14070 - 1/2814. Factor h*d**4 - 9*d**2 - 4/5 + 28/5*d - 28/5*d**3.
(d - 1)*(d + 1)*(7*d - 2)**2/5
Let w be -3 - (-100)/24 - 1. Let d(v) be the second derivative of -1/6*v**4 + 0*v**5 + w*v**3 - v + 0 - 1/42*v**7 + 0*v**2 + 1/15*v**6. Factor d(y).
-y*(y - 1)**3*(y + 1)
Let x(h) be the second derivative of 0 - 1/12*h**2 - 1/36*h**3 + 1/72*h**4 + 1/120*h**5 - 2*h. Factor x(c).
(c - 1)*(c + 1)**2/6
Let i(r) = -2*r - 3. Let f be i(-2). Factor -j - 2*j**3 + 6*j**2 - f - 3 + 3*j - 2*j**4.
-2*(j - 1)**2*(j + 1)*(j + 2)
Let h(s) be the second derivative of s**5/20 - 3*s**4/4 + 13*s**2/2 - 3*s. Let n be h(9). Factor 11*i**4 - n*i**4 - i**5 + 4*i**2 - 4*i**2 + 2*i**2 + i.
-i*(i - 1)*(i + 1)**3
Let q(p) be the first derivative of -3*p**5/5 + 12*p**4/7 - 11*p**3/7 + 3*p**2/7 - 18. Factor q(n).
-3*n*(n - 1)**2*(7*n - 2)/7
Factor -2/3 - 4/9*z + 2/9*z**2.
2*(z - 3)*(z + 1)/9
Let l(c) be the first derivative of c**5/90 - c**4/18 + c**3/9 + 3*c**2 - 7. Let v(z) be the second derivative of l(z). What is t in v(t) = 0?
1
Let k(i) be the third derivative of 0*i + 8*i**2 + 0 + 1/6*i**4 - 1/60*i**5 - 2/3*i**3. Factor k(z).
-(z - 2)**2
Let r = 146 + -143. Let i(y) be the first derivative of 8/5*y**5 - 1 + 0*y**2 - 4/9*y**r + 1/2*y**4 + 0*y + 7/9*y**6. Factor i(b).
2*b**2*(b + 1)**2*(7*b - 2)/3
Let l = 11 + -10. Let i(d) be the first derivative of -1/6*d**4 + 0*d**2 + 0*d**3 + 0*d + l. Factor i(h).
-2*h**3/3
Let t(a) be the third derivative of a**8/6720 - a**6/720 - a**4/6 + 2*a**2. Let u(d) be the second derivative of t(d). Suppose u(b) = 0. What is b?
-1, 0, 1
Let k(i) be the third derivative of 0 + 1/270*i**6 - 4*i**2 + 0*i - 1/945*i**7 - 1/270*i**5 + 0*i**4 + 0*i**3. Suppose k(f) = 0. What is f?
0, 1
Let w be 2/7 + (-2)/56. Let o be (-9)/12*1/(-3). Factor -o + w*x**2 + 0*x.
(x - 1)*(x + 1)/4
Suppose 4*t = -s + 16, -3*t = -s + 3*s - 7. Factor -3*v**4 + 3*v**3 + 5*v + 6*v**2 - t*v.
-3*v**2*(v - 2)*(v + 1)
Let n be 0 + 6 + (4 - 6). Solve -4*m**2 + 2*m**4 + 6*m**n - 4*m**4 + 0*m - 2*m + 2*m**5 = 0.
-1, 0, 1
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