*3.
(g - 1)**2*(g + 1)**3/4
Let p(f) be the second derivative of f**7/630 + f**6/90 + 2*f**4/3 - 9*f. Let g(y) be the third derivative of p(y). Factor g(o).
4*o*(o + 2)
Suppose -i - 31 = -199. Let -33*k - 28*k**5 - 3 - 4*k**5 - i*k**4 - 129*k**2 - 16*k**5 - 219*k**3 = 0. Calculate k.
-1, -1/4
Factor -b**3 + 0*b**5 + 9*b**4 + 2*b**4 - 16*b**5 - 3*b**4.
-b**3*(4*b - 1)**2
Let b = -323/4 + 667/8. Let b*g**3 + 15/8*g**4 + 0 + 0*g + 3/4*g**2 = 0. Calculate g.
-1, -2/5, 0
Let z(x) be the third derivative of -x**8/4200 + x**7/2100 + x**6/900 - x**5/300 - x**3/6 - 6*x**2. Let f(t) be the first derivative of z(t). Factor f(q).
-2*q*(q - 1)**2*(q + 1)/5
Let t(z) be the first derivative of 1/2*z**2 - 2 + 2*z - 1/3*z**3. Suppose t(h) = 0. Calculate h.
-1, 2
Let l(z) be the third derivative of z**5/420 - z**4/42 + z**3/14 - 13*z**2. Factor l(a).
(a - 3)*(a - 1)/7
Factor -4/3*r**3 + 7/3*r**2 + 2/3*r + 0.
-r*(r - 2)*(4*r + 1)/3
Suppose 0*x + 2 = 2*x. Let b = x - -1. Factor 2*r + 2*r**4 - b*r**2 + 3*r**4 - 2*r**4 - 2*r**3 - r**4.
2*r*(r - 1)**2*(r + 1)
Let m(k) be the first derivative of k**5/15 - k**4/12 - 5*k**3/9 - k**2/2 + 20. Factor m(y).
y*(y - 3)*(y + 1)**2/3
Factor 0 + 0*f**2 + 1/3*f**4 - 2/3*f**3 + 0*f.
f**3*(f - 2)/3
Let d(l) = -l**4 + l**2 + l - 1. Let x(s) = 3*s**4 - s**2 - 2*s + 4. Let b(v) = -4*d(v) - x(v). Factor b(j).
j*(j - 2)*(j + 1)**2
Let n be 306/7 - 2/(-7). Suppose 5*l - l - n = 0. Let 2*b**3 + l - 11 + 2*b**2 = 0. Calculate b.
-1, 0
Factor 4*m + 1 - 21*m**2 + 23*m**2 + 1.
2*(m + 1)**2
Let c be (6/4)/((-6)/(-20)). Let q(r) be the second derivative of 0 + 0*r**4 - r + 0*r**3 + 0*r**2 - 1/60*r**6 - 1/40*r**c. Suppose q(p) = 0. Calculate p.
-1, 0
Let z be ((-3)/15)/((-2)/30*4). Find t such that -z + 2*t - 5/4*t**2 = 0.
3/5, 1
Suppose -22*v + 78 = -10. Suppose 2 = -5*p - 3*c, 2*p - 3*c - c = 20. What is x in 1/2*x**3 - 5/6*x**p + 1/6 + 2/3*x**v - 1/2*x = 0?
-1, 1/4, 1
Let w be (3/(-9))/((-1)/3). Let k = w + 1. Factor 0*r + 1/4*r**k - 1/4*r**4 - 1/4*r**3 + 1/4*r**5 + 0.
r**2*(r - 1)**2*(r + 1)/4
Suppose -5*s + 18 = -4*i, 3*i = -2*s + 25 - 4. Let d = -3 + s. Factor -10*j**2 - j**d - j + 8*j**2 + 0*j.
-j*(j + 1)**2
Suppose -5*m**2 + 65/4*m - 15/4 = 0. What is m?
1/4, 3
Let q(u) be the third derivative of -u**6/180 + u**5/90 + u**4/36 - u**3/9 + 7*u**2. What is j in q(j) = 0?
-1, 1
Suppose 0 = -k + 4*d + 27, -3*k = 3*d - 30 + 9. Factor -7 - 10*t + 8*t**2 - 2 + k.
2*(t - 1)*(4*t - 1)
Let u be (-6)/4*(-32)/72. Let f(j) be the first derivative of -2*j**2 + u*j**3 + 1/2*j**4 + 2 + 0*j. Factor f(p).
2*p*(p - 1)*(p + 2)
Suppose -3*m + 4*m + w - 4 = 0, 0 = 3*m - w. Let b(q) = 2*q**2. Let t be b(m). Find x, given that x**t + 2 - 3 + 0*x**2 = 0.
-1, 1
Let a(z) be the third derivative of -z**7/280 + z**6/60 + z**5/40 - z**4/4 + z**3/6 - 3*z**2. Let t(u) be the first derivative of a(u). Factor t(x).
-3*(x - 2)*(x - 1)*(x + 1)
Suppose 5*k + 80 - 20 = 0. Let l be 6/k + (-7)/(-2). Suppose -f**2 - 2*f**3 + 0*f + 3*f**l + f - f**2 = 0. What is f?
0, 1
Let s(a) = -4*a. Let p be s(-1). Suppose -2*j - 2*w + 0 = -12, p*j + w = 12. What is t in -5*t**3 + 5*t**3 - t**3 - t - 2*t**j = 0?
-1, 0
Suppose -2*i = -3*n - 5, -n = -i + n + 1. Solve -3*w - w**2 - i + 3 + 4 = 0.
-3, 0
Let d be ((-4)/6 + -2)*(-9)/21. Find y such that d*y - 2/7*y**2 - 8/7 = 0.
2
Suppose x - 5*o - 5 - 2 = 0, 3*x + 2*o = -13. Let g be ((-8)/(-6))/((-2)/x). Let -2*n**2 - 2/3*n**4 + 2/3*n + 0 + g*n**3 = 0. Calculate n.
0, 1
Suppose 0 = -5*g - 3*c + 24, c + 9 = -g + 5*g. What is f in f**g + 3 + 8*f**2 - 12*f + 6*f**4 + 10*f**2 - 3*f**4 - 13*f**3 = 0?
1
Let j be (-16)/4 + (171/12)/3. Solve j*p + 3/2*p**2 - 3/4*p**3 - 3/2 = 0.
-1, 1, 2
Suppose 0 = -5*i + i + 4. Let r be (i - 1)/(4/(-2)). Solve r - 8/9*w**3 + 4/9*w**2 + 2/9*w + 2/3*w**5 - 4/9*w**4 = 0 for w.
-1, -1/3, 0, 1
Factor 4/7 - 2*z + 2*z**3 - 4/7*z**2.
2*(z - 1)*(z + 1)*(7*z - 2)/7
Let m(t) be the first derivative of -t**6/60 + 7*t**5/60 - t**4/6 - 5*t**3/3 - 8. Let u(y) be the third derivative of m(y). Solve u(f) = 0 for f.
1/3, 2
Factor 6 + 4*n**2 - n**2 - 4*n**2 - 2*n + 3*n.
-(n - 3)*(n + 2)
Let n be ((-9)/1)/((-9)/6). Find c such that -c**3 + 3*c**2 + 1 - n*c - 2*c + 5*c = 0.
1
Let d(c) be the third derivative of -c**8/84 - 4*c**7/105 + c**6/5 + 4*c**5/15 - 13*c**4/6 + 4*c**3 - 2*c**2 - 12*c. Factor d(m).
-4*(m - 1)**3*(m + 2)*(m + 3)
Let o(y) = 3*y - 2. Let t be o(4). Suppose 0 = -0*q + q - t. Suppose -1 + 10*h**3 - 2*h**5 + 4*h**5 - 5*h**4 + 3*h - q*h**2 + 2*h - h**5 = 0. What is h?
1
Factor 0 + 6/7*k**2 + 18/7*k + 2/7*k**4 - 10/7*k**3.
2*k*(k - 3)**2*(k + 1)/7
Let d(x) = 2*x - 11. Let r be d(7). Let g(u) be the first derivative of -2*u - 1 - 3/2*u**4 - 14/3*u**r - 5*u**2. Solve g(c) = 0 for c.
-1, -1/3
Let n(i) be the first derivative of -i**4/16 + i**3/6 - i**2/8 + 7. Determine s, given that n(s) = 0.
0, 1
Let k(i) be the first derivative of -i**6/40 + 7*i**5/60 - i**4/12 + 3*i**2/2 - 3. Let b(s) be the second derivative of k(s). Determine p, given that b(p) = 0.
0, 1/3, 2
Let n be 4 - (-3 + 4 - 0). Factor 4*a**3 + n*a**2 - 2*a**3 - 5*a**2.
2*a**2*(a - 1)
Suppose 9*y - 12*y = 0. Let x(k) be the first derivative of 1/16*k**4 + 1/24*k**6 - 1/10*k**5 + y*k**3 + 0*k**2 - 2 + 0*k. Find l such that x(l) = 0.
0, 1
Let n(w) be the first derivative of -w**5/240 + w**4/96 + w**2 - 1. Let a(h) be the second derivative of n(h). Factor a(p).
-p*(p - 1)/4
Factor 6*c**3 + 9*c**4 + 2*c**4 - 6*c + 3*c**2 - 14*c**4.
-3*c*(c - 2)*(c - 1)*(c + 1)
Let d = -397/5 + 80. Let i(o) be the first derivative of -2/5*o - 1/10*o**4 - d*o**2 - 2/5*o**3 - 1. Factor i(z).
-2*(z + 1)**3/5
Let f(i) be the second derivative of i**7/28 + 3*i**6/20 + 9*i**5/40 + i**4/8 + 23*i. Factor f(c).
3*c**2*(c + 1)**3/2
Let d(s) be the third derivative of s**5/30 + s**3/6 - 4*s**2. Let q(f) = -f**2 - 1. Let n(y) = 3*d(y) + 3*q(y). Factor n(l).
3*l**2
Factor 60 - 70/3*b**3 + 305/3*b**2 + 5/3*b**4 - 140*b.
5*(b - 6)**2*(b - 1)**2/3
Suppose 4*t + 3*j - 52 = 0, -j - j = 4*t - 56. Suppose 2*q = -2*q + t. Factor -2*h + 19 + q*h**4 - 4*h**2 - 19 + 2*h**5.
2*h*(h - 1)*(h + 1)**3
Let p(a) = a + 10. Let x be p(-6). Let c(l) be the third derivative of 0 + 1/42*l**x + 0*l - 2*l**2 - 1/210*l**5 + 0*l**3. Factor c(s).
-2*s*(s - 2)/7
Let w(z) = 8*z**5 + 20*z**4 + 24*z**3 + 5*z**2 + 5*z. Let q(j) = 7*j**5 + 19*j**4 + 23*j**3 + 7*j**2 + 4*j. Let b(p) = 3*q(p) - 2*w(p). Factor b(d).
d*(d + 1)**3*(5*d + 2)
Let z(m) be the second derivative of m**6/45 + m**5/15 - m**4/18 - 2*m**3/9 + 23*m. Find q, given that z(q) = 0.
-2, -1, 0, 1
Let f be (4/(-6))/((-4)/18). Let g be -1 - -2 - (-1)/f. What is n in 2*n**2 + g*n - 2*n**4 + 0 - 4/3*n**3 = 0?
-1, -2/3, 0, 1
Let g be (-4 + 7)/((-3)/((-6)/4)). Factor -g*p + 3/2*p**3 + 1 - p**2.
(p - 1)*(p + 1)*(3*p - 2)/2
Factor 8*b + b**2 - 4*b - b**2 + 4*b**2.
4*b*(b + 1)
Let c(y) be the first derivative of 1/2*y + 5/4*y**2 + 1 + 7/6*y**3 + 3/8*y**4. Solve c(t) = 0.
-1, -1/3
Let s(m) be the first derivative of -1/6*m**3 + 4 + 0*m + 1/10*m**5 + 1/8*m**2 - 1/24*m**6 + 0*m**4. Factor s(u).
-u*(u - 1)**3*(u + 1)/4
Suppose n + 3*g + 3 + 3 = 0, -3*g = -3*n - 30. Let k be (24/n)/(8/(-12)). Factor -2/9*j**k + 0*j - 2/9 + 4/9*j**2 + 0*j**3.
-2*(j - 1)**2*(j + 1)**2/9
Suppose 1 - 4 = -k. Find x, given that -5*x**2 + 4*x**2 + k*x**2 = 0.
0
Factor -32/3*a + 20/3*a**4 + 0 + 4/3*a**5 - 16/3*a**2 + 8*a**3.
4*a*(a - 1)*(a + 2)**3/3
Let j(b) be the third derivative of b**5/240 - 3*b**4/32 + b**3/3 - 53*b**2. Factor j(p).
(p - 8)*(p - 1)/4
Let i(r) be the third derivative of r**8/72 + r**7/63 - 4*r**6/45 + 2*r**5/45 - 30*r**2. Determine m so that i(m) = 0.
-2, 0, 2/7, 1
Let x = -519 + 2601/5. Factor -4/5 + x*b - 2/5*b**2.
-2*(b - 2)*(b - 1)/5
Factor -7 - 5*t**2 + 1 + 1 + 5*t + 5*t.
-5*(t - 1)**2
Let n(j) = 2*j - 14. Let m be n(8). Suppose 3*a - a = 0. Factor a*r**m - r**2 + 2*r**2.
r**2
Let i(v) be the third derivative of -v**5/105 + v**4/42 + 4*v**3/21 - 4*v**2. Find c, given that i(c) = 0.
-1, 2
Let a = 44 - 39. Let r(n) be the second derivative of -3/20*n**a + 0*n**3 - 1/2*n**4 + 3*n + 0 + 0*n**2. Factor r(g).
-3*g**2*(g + 2)
Let v be -2 - (-3)/2 - (-14)/4. Factor 3/5*b**2 + 0*b + 0 + 3/5*b**v.
3*b**2*(b + 1)/5
Suppose -4*c = -8, -r + 0*c = -4*c + 8. Suppose 0 = -4*f - r + 20. Factor -3