 - 3. Factor 0*a**3 + a**p + 3 - 3*a**2 + 3*a - 2*a**3 - 2*a**3.
-3*(a - 1)*(a + 1)**2
Let n be 3/(6/(-4)) + 2. Suppose 0 = -g - n*g. Solve -2/7*r**4 - 6/7*r**3 + g - 2/7*r - 6/7*r**2 = 0 for r.
-1, 0
Factor -45*i**2 + 19*i**2 - 6 - 33*i + 11*i**2.
-3*(i + 2)*(5*i + 1)
Let i(a) be the third derivative of 1/150*a**5 + 0 + 1/15*a**3 + a**2 + 0*a - 1/30*a**4. Solve i(c) = 0 for c.
1
Let 4/3*m**5 + 20/3*m + 13/3*m**2 - 14/3*m**3 - 7/3*m**4 + 4/3 = 0. Calculate m.
-1, -1/4, 2
Suppose u**4 + 0 + 0*u - 1/4*u**3 + 0*u**2 - 3/4*u**5 = 0. What is u?
0, 1/3, 1
Let r(u) be the second derivative of u**5/25 - 2*u**4/15 + 2*u**3/15 + 6*u. Factor r(s).
4*s*(s - 1)**2/5
Suppose -5*w - 12 = -9*w. Let b(f) be the first derivative of 0*f - w + f**2 + 3/2*f**4 + 8/3*f**3. Factor b(m).
2*m*(m + 1)*(3*m + 1)
Let f be 3/5*20/30. Factor 0*r - 4/5*r**2 + 0*r**3 + 2/5 + f*r**4.
2*(r - 1)**2*(r + 1)**2/5
Let w = -24 - -51. Let z = w - 22. Factor -5/2*v**4 - z*v**2 + 5/2*v + 1/2*v**5 + 5*v**3 - 1/2.
(v - 1)**5/2
Let c be 5 - 37/7 - (-2)/7. Find t, given that 4/5*t + c + 12/5*t**2 + 1/5*t**5 + 13/5*t**3 + 6/5*t**4 = 0.
-2, -1, 0
Let n be 2/12 - 20/(-120). Factor n + 4/3*t**3 + 1/3*t**4 + 2*t**2 + 4/3*t.
(t + 1)**4/3
Let w = 73 - 71. Factor -10/9*d**w - 8/9 + 2/9*d**3 + 16/9*d.
2*(d - 2)**2*(d - 1)/9
Factor 0*k**2 - 1/6*k + 1/6*k**3 + 0.
k*(k - 1)*(k + 1)/6
Let c be (-9 - -9)*2/(-4). Let k(f) be the first derivative of -4/7*f - 3/7*f**2 + 1/14*f**4 + c*f**3 + 1. Factor k(r).
2*(r - 2)*(r + 1)**2/7
Let m(p) = p**3 + 4*p**2 - 13*p - 6. Let y be m(-6). Let d = 1 + -1. Find l such that -2/3*l**4 + 0*l**2 + d*l - 2/3*l**3 + y = 0.
-1, 0
Determine n so that 0*n - 8/5*n**4 - 6/5*n**3 + 0 + 2/5*n**2 = 0.
-1, 0, 1/4
Let w(x) be the third derivative of 0*x**3 + 0*x + 0 + 0*x**4 - 1/30*x**5 + 3*x**2 - 1/60*x**6. Solve w(d) = 0 for d.
-1, 0
Let y(a) be the first derivative of -3*a**7/560 + 7*a**6/720 + a**5/120 + 5*a**3/3 - 5. Let z(m) be the third derivative of y(m). Factor z(r).
-r*(r - 1)*(9*r + 2)/2
Let r(t) = -t**2 + 7*t - 4. Let b be r(5). Solve -g**2 - g - b + g + 7 = 0 for g.
-1, 1
Suppose -w = 4*w - 10. Find g, given that -3*g - 2*g + 5*g + 21*g**w - 6*g - 27*g**3 - 3*g**5 + 15*g**4 = 0.
0, 1, 2
Let k = -3 - -26. Let y = k + -15. Factor 3*m**2 - 2 + y*m**3 - 3*m - 3*m**2 - 7*m**3.
(m - 2)*(m + 1)**2
Let r(d) = 2*d - 12. Let k be r(6). Determine i, given that -1/2*i**3 + 0*i + 0*i**2 + k = 0.
0
Let x(q) = -2*q**2 + 2*q + 3. Let z be x(3). Let p(g) = g**2 + 8*g - 7. Let c be p(z). Factor 4/5*j - 2/5*j**c - 2/5.
-2*(j - 1)**2/5
Let a(s) be the first derivative of -1/12*s**3 + 1/4*s**2 + 0*s + 4. What is x in a(x) = 0?
0, 2
Find h such that 1/2 - 1/2*h**2 + 7/4*h - 7/4*h**3 = 0.
-1, -2/7, 1
Let f(b) = b - 6. Let h be f(0). Let m = h + 9. Factor -2/3*y + 2/3 - 2/3*y**2 + 2/3*y**m.
2*(y - 1)**2*(y + 1)/3
Let w(p) = p**3 + 6*p**2 + 6*p + 5. Let m be w(-5). Let h be ((-6)/(-15))/((-16)/(-110)). Factor h*i**3 - 1/2*i**2 + m + 7/4*i**5 + 0*i - 4*i**4.
i**2*(i - 1)**2*(7*i - 2)/4
Let g be 2/(-16) - (2965/280 + -11). Factor -g*k**2 + 0*k + 2/7*k**3 + 0.
2*k**2*(k - 1)/7
Let g(f) = -15*f**4 + 21*f**3 + 9*f**2. Let b(d) = -7*d**4 + 10*d**3 + 4*d**2. Let z(t) = -9*b(t) + 4*g(t). Factor z(a).
3*a**3*(a - 2)
Let d(c) be the third derivative of 1/30*c**5 + 0 + 0*c**3 - 2*c**2 - 1/6*c**4 + 0*c. Solve d(l) = 0.
0, 2
Let h = 5920 - 5594399/945. Let p(c) be the third derivative of 1/270*c**6 + 0*c**5 + 0 + h*c**7 + 0*c - 3*c**2 - 1/54*c**4 - 1/27*c**3. Factor p(r).
2*(r - 1)*(r + 1)**3/9
Let a(k) = -5*k + 93. Let d be a(18). Factor -3/4*n**2 + 1/2 + 1/4*n**4 + 1/4*n - 1/4*n**d.
(n - 2)*(n - 1)*(n + 1)**2/4
Let u(t) be the second derivative of -5/2*t**4 - 1/2*t**6 + 0 + 3/2*t**5 - 6*t + 5/2*t**3 + 1/14*t**7 - 3/2*t**2. Determine x, given that u(x) = 0.
1
Let b(i) be the first derivative of -1 + 4*i**4 + 4*i - 12/5*i**5 + 8/3*i**3 - 8*i**2. Determine x, given that b(x) = 0.
-1, 1/3, 1
Let w(k) be the first derivative of -k**6/270 - k**5/90 - k**2 + 1. Let n(r) be the second derivative of w(r). Solve n(m) = 0.
-3/2, 0
Factor -5/3 - 3/2*h + 1/6*h**2.
(h - 10)*(h + 1)/6
Let s(x) be the first derivative of -x**8/1008 - x**7/630 + x**6/360 + x**5/180 + 3*x**2/2 - 1. Let f(m) be the second derivative of s(m). Factor f(r).
-r**2*(r - 1)*(r + 1)**2/3
Let d(b) be the third derivative of -2*b**7/105 + b**6/30 + 2*b**5/15 + 5*b**2. Factor d(i).
-4*i**2*(i - 2)*(i + 1)
Suppose -16 = -3*v - v. Let m be 10/v*(-6)/(-10). Let -1/4*j + 0 - j**4 - j**2 - m*j**3 - 1/4*j**5 = 0. Calculate j.
-1, 0
Let w(n) be the first derivative of n**5/15 - n**3/9 - 4. Let w(o) = 0. What is o?
-1, 0, 1
Let p(f) be the second derivative of f**6/90 - f**4/12 + f**3/9 - 26*f. Find l, given that p(l) = 0.
-2, 0, 1
Let k(l) be the first derivative of l**9/13608 + l**8/2520 + l**7/1260 + l**6/1620 - 2*l**3/3 + 3. Let j(r) be the third derivative of k(r). Factor j(v).
2*v**2*(v + 1)**3/9
Let u(l) be the first derivative of 1/25*l**5 - 3 - 1/20*l**4 + 0*l + 1/10*l**2 - 1/15*l**3. Let u(q) = 0. Calculate q.
-1, 0, 1
Let n(x) = -2*x**2 - 4*x - 2. Let v(b) = -5*b**2 - 9*b - 4. Suppose 0 = -3*p + 3*t + 6 - 3, -2*t + 10 = -5*p. Let d(j) = p*v(j) + 9*n(j). Factor d(a).
2*(a - 1)*(a + 1)
Suppose 6*k + 20 = 2*k + 5*q, -5*q = -3*k - 20. Factor k + 1/2*z**4 + 0*z + 0*z**2 + 1/2*z**3.
z**3*(z + 1)/2
What is o in 2/11*o + 4/11*o**2 + 0 + 2/11*o**3 = 0?
-1, 0
Let b(u) be the first derivative of u**6/24 + u**5/20 - u**4/8 - u**3/6 + u**2/8 + u/4 + 1. Factor b(z).
(z - 1)**2*(z + 1)**3/4
Let b = -9 - -12. Let t(h) be the first derivative of 1/20*h**5 - 1 - 1/12*h**b + 1/16*h**4 - 1/8*h**2 + 0*h. Factor t(i).
i*(i - 1)*(i + 1)**2/4
Let q(k) be the third derivative of -k**6/900 + k**4/180 - k**2. Determine d so that q(d) = 0.
-1, 0, 1
Let n(r) be the third derivative of 0*r + 4*r**2 + 0*r**6 + 0*r**3 - 1/420*r**5 + 0 + 1/1470*r**7 + 0*r**4. Factor n(s).
s**2*(s - 1)*(s + 1)/7
Let r(o) be the first derivative of -o**6/360 - o**5/120 + o**4/12 - o**3/3 + 1. Let l(m) be the third derivative of r(m). Factor l(p).
-(p - 1)*(p + 2)
Let f(m) be the third derivative of 5*m**8/252 + 34*m**7/315 + 8*m**6/45 + 4*m**5/45 + 4*m**2. Suppose f(h) = 0. What is h?
-2, -1, -2/5, 0
Let a be (30/(-12))/((-2)/4). Let g(w) = -3*w**2 - 4*w. Let p(o) = 3*o**2 + 5*o. Let q(t) = a*g(t) + 4*p(t). Factor q(m).
-3*m**2
Solve -68/3*q - 8 - 7/3*q**3 + 18*q**2 = 0 for q.
-2/7, 2, 6
Let v(d) be the third derivative of d**8/2352 - d**7/490 + d**6/840 + d**5/140 - d**4/84 - 8*d**2. Factor v(q).
q*(q - 2)*(q - 1)**2*(q + 1)/7
Suppose -4 = -5*j + 11. What is g in 3*g + j*g**2 + 3 + 0*g - 2 + g**3 = 0?
-1
Factor -42 - 13*d + 48 - 2*d**3 + 8*d**2 - d**3 + 2*d**3.
-(d - 6)*(d - 1)**2
Let f(b) be the second derivative of b**7/630 - b**6/180 + b**5/180 + b**2 - 3*b. Let t(y) be the first derivative of f(y). Factor t(a).
a**2*(a - 1)**2/3
Let a(l) be the third derivative of 1/300*l**6 + 0*l + 0*l**4 + 1/150*l**5 + 0*l**3 - l**2 + 0. Factor a(h).
2*h**2*(h + 1)/5
Let y be 39/(-135) + 8/20. Let k(t) be the second derivative of -3*t + 0 + 1/18*t**4 - 1/3*t**2 + 1/30*t**5 - y*t**3. Factor k(v).
2*(v - 1)*(v + 1)**2/3
Let m(f) = -f**3 - 6*f**2 - 2*f. Let s(i) = -2*i. Let o(p) = -2*m(p) - 6*s(p). Factor o(t).
2*t*(t + 2)*(t + 4)
Let b(o) be the first derivative of 32*o**5/15 - 28*o**4/9 + 38*o**3/27 - 2*o**2/9 - 1. Factor b(z).
2*z*(3*z - 2)*(4*z - 1)**2/9
Let z(p) be the second derivative of p**7/525 + p**6/150 - p**5/150 - p**4/30 - p**2/2 + 5*p. Let a(r) be the first derivative of z(r). What is x in a(x) = 0?
-2, -1, 0, 1
Let b(n) be the third derivative of -5*n**8/336 - n**7/42 + n**6/12 + n**5/6 - 5*n**4/24 - 5*n**3/6 - 14*n**2. Factor b(t).
-5*(t - 1)**2*(t + 1)**3
Let t(v) be the second derivative of v**5/100 - v**4/60 - v**3/30 + v**2/10 + 33*v. Factor t(z).
(z - 1)**2*(z + 1)/5
Let v(k) be the third derivative of k**8/1848 - 2*k**7/1155 + k**6/660 - 5*k**2. Factor v(n).
2*n**3*(n - 1)**2/11
Let o(n) be the second derivative of 5*n**4/12 - 5*n**3/6 + 16*n. Find w such that o(w) = 0.
0, 1
Factor 2/9*o**4 + 4/9 - 10/9*o**3 - 14/9*o + 2*o**2.
2*(o - 2)*(o - 1)**3/9
Let d(f) be the third derivative of f**7/140 + f**6/16 + f**5/5 + f**4/4 + 11*f**2. Factor d(c).
3*c*(c + 1)*(c + 2)**2/2
Factor -7*r*