(f - 1)
Let t(k) be the first derivative of k**6/360 - k**4/72 - k**2 + 2. Let q(l) be the second derivative of t(l). Factor q(s).
s*(s - 1)*(s + 1)/3
Let p(o) be the first derivative of 2*o**6/15 - 4*o**5/5 + 2*o**4 - 8*o**3/3 + 2*o**2 + 7*o + 7. Let x(w) be the first derivative of p(w). Factor x(a).
4*(a - 1)**4
Let s(b) = 2*b + 0 + 3 - 2 + 3. Let z be s(4). Solve -3*q + 0*q**4 - 3*q**2 - 7*q**4 + 0*q + q + z*q**3 = 0 for q.
-2/7, 0, 1
Let i(j) be the second derivative of -j**5/5 + 4*j**4/3 - 10*j**3/3 + 4*j**2 + 2*j + 18. Factor i(q).
-4*(q - 2)*(q - 1)**2
Factor -9 - 9*i - 1/3*i**3 - 3*i**2.
-(i + 3)**3/3
Let g = -89346 + 802046/9. Let s = 230 + g. Suppose s*f**2 + 2/9 + 4/9*f = 0. Calculate f.
-1
Let u(o) be the third derivative of o**6/60 - o**5/60 - o**4/12 + o**3/6 + 7*o**2. Factor u(r).
(r - 1)*(r + 1)*(2*r - 1)
Suppose 1/5*r**4 + 1/5*r**5 + 1/5 - 2/5*r**3 - 2/5*r**2 + 1/5*r = 0. What is r?
-1, 1
Factor 4/13*a + 6/13 - 2/13*a**2.
-2*(a - 3)*(a + 1)/13
Let s = -9 + 49/5. Let f = 54 - 264/5. Find z such that 6/5*z**3 + s - 4/5*z**2 - f*z = 0.
-1, 2/3, 1
Let r be (-3)/10 + 11/11. Let t = r - 1/30. Let -t*u**3 - 4/3 + 2*u + 0*u**2 = 0. Calculate u.
-2, 1
Let b(t) be the first derivative of -t**6/48 - t**5/40 + t**4/32 + t**3/24 + 3. Factor b(l).
-l**2*(l - 1)*(l + 1)**2/8
Let p(o) = -11*o**3 - 30*o**2 + o + 25. Let r(k) = 6*k**3 + 15*k**2 - 12. Let l(z) = 3*p(z) + 5*r(z). Solve l(y) = 0.
-5, -1, 1
Let q be ((-5)/(-10))/(2/36). Let l = 20 - q. Factor 33*k - l*k**4 - 157*k**4 + 0 - 6 + 219*k**3 + 3 - 129*k**2 + 48*k**5.
3*(k - 1)**3*(4*k - 1)**2
Let c(i) be the first derivative of -i**7/840 - i**6/120 - i**5/60 - 10*i**3/3 + 4. Let w(f) be the third derivative of c(f). Suppose w(t) = 0. Calculate t.
-2, -1, 0
Let j(n) be the first derivative of n**6/540 - n**4/36 - 2*n**3/27 - 3*n**2/2 + 3. Let w(s) be the second derivative of j(s). Factor w(x).
2*(x - 2)*(x + 1)**2/9
Let q = -1/145 + 169/3480. Let d(v) be the third derivative of 0 + 0*v**3 + 2*v**2 + q*v**4 - 1/60*v**5 + 0*v. What is o in d(o) = 0?
0, 1
Let i(h) = 12*h**3 - h**2 - 3*h - 3. Let f(k) = -24*k**3 + 3*k**2 + 5*k + 5. Let n(s) = -3*f(s) - 5*i(s). Factor n(u).
4*u**2*(3*u - 1)
Suppose 12 + 78 = 5*d. Let q be (32/(-56))/(d/(-35)). Solve 4/9*r + 2/9*r**4 + 0 + 8/9*r**3 + q*r**2 = 0 for r.
-2, -1, 0
Let f(h) be the second derivative of 3/5*h**2 + 0 + 1/20*h**4 + 6*h - 3/10*h**3. Solve f(r) = 0.
1, 2
Let t(h) be the third derivative of -1/315*h**7 - 1/36*h**4 + 3*h**2 + 0*h + 0 + 1/90*h**5 + 1/180*h**6 + 0*h**3. Factor t(u).
-2*u*(u - 1)**2*(u + 1)/3
Let t = -19 + 25. Let b be t/28 + 30/105. What is y in 0*y + 0 + 0*y**2 - 1/2*y**3 - b*y**5 + y**4 = 0?
0, 1
Let d = 3995365/102 - 39171. Let u = -3/34 - d. What is p in 2/3*p**2 - 4/3*p + u = 0?
1
Let z(a) be the third derivative of -a**8/30240 + a**7/5670 + a**4/12 + 3*a**2. Let l(g) be the second derivative of z(g). Factor l(t).
-2*t**2*(t - 2)/9
Let n(d) = 2*d**2 - 2*d + 2. Let w(f) = f - 1. Suppose 2*k - 27 = -k. Suppose 0 = 4*x + k - 1. Let m(i) = x*w(i) - n(i). Factor m(r).
-2*r**2
Solve 0 + 12/7*h**2 + 4/7*h**4 + 0*h + 16/7*h**3 = 0.
-3, -1, 0
Let a = 135 + -2563/19. Let g = 15/38 + a. Factor 0 - 1/2*n**2 - g*n.
-n*(n + 1)/2
Let s(y) be the third derivative of y**8/5880 - y**7/2940 + y**3/6 - 7*y**2. Let i(x) be the first derivative of s(x). Find q, given that i(q) = 0.
0, 1
Let o(k) be the second derivative of -k**6/720 + k**5/120 - k**4/48 + k**3/3 - k. Let p(t) be the second derivative of o(t). Find z such that p(z) = 0.
1
Suppose 6 + 0 = 2*n. Suppose -8 = -q - n*q. Determine w so that 7*w**4 - w - 8*w**3 - 1 + 3*w + w**5 - 3*w**5 + 2*w**q = 0.
-1/2, 1
Suppose 0 = 2*p - p - 2. Let l(v) be the third derivative of 0 + 1/18*v**4 + 1/9*v**3 + 0*v + 1/90*v**5 - 2*v**p. Solve l(s) = 0 for s.
-1
Let v(d) = -40*d**2 - 161*d + 40. Let s(t) = 8*t**2 + 32*t - 8. Let n(j) = 22*s(j) + 4*v(j). Suppose n(c) = 0. What is c?
-4, 1/4
Factor 6*j**2 - 4*j + 2/3.
2*(3*j - 1)**2/3
Let h(a) be the third derivative of -a**7/105 - a**6/12 - 2*a**5/15 - 6*a**2. Factor h(n).
-2*n**2*(n + 1)*(n + 4)
Suppose -9*c = -6*c - 9. Suppose r - 4 = 2. Solve 0*f**4 + f + r*f**3 - 2 - 3*f**4 - 7*f**c + 5*f**2 = 0 for f.
-1, 2/3, 1
Factor 0 + 2/3*n + 1/3*n**2.
n*(n + 2)/3
Factor 8*k - 12*k + 3*k + 0*k**2 + k**2 + k**3 - 1.
(k - 1)*(k + 1)**2
Let n = 18 - 18. Let d(m) be the second derivative of m + 1/6*m**4 + 0 + 1/3*m**3 + n*m**2 - 1/10*m**5 - 1/15*m**6. Factor d(h).
-2*h*(h - 1)*(h + 1)**2
Let c be ((-5)/20)/(3/(-48)*2). Factor 1/2*h**c + 0 + h.
h*(h + 2)/2
Determine x so that 0 - 2*x + 0*x**2 + 9/2*x**3 = 0.
-2/3, 0, 2/3
Let m = 3 - -3. Suppose -4*o = 3*l - 6, -m*l + 10 = -l + o. Factor 4 - 343/2*f**4 + 105*f**l + 38*f + 49/2*f**3.
-(f - 1)*(7*f + 2)**3/2
Let l(o) = o**2 - 1. Let s(x) = -5*x**3 - 11*x**2 + 2*x + 2. Let n(v) = -6*l(v) - 3*s(v). Factor n(d).
3*d*(d + 2)*(5*d - 1)
Let c(x) = -x**2 - 3*x + 180. Let b be c(12). Factor 0*w**4 + 0*w + 3/2*w**5 + b - 3/2*w**3 + 0*w**2.
3*w**3*(w - 1)*(w + 1)/2
Factor 5*j - 2/3 - 8*j**2 - 16/3*j**3.
-(j + 2)*(4*j - 1)**2/3
Let g = -34 + 36. Let x(o) be the first derivative of g + 0*o + 0*o**2 + 1/8*o**4 + 0*o**3 - 1/12*o**6 + 0*o**5. Factor x(r).
-r**3*(r - 1)*(r + 1)/2
Let f(s) be the third derivative of -s**7/630 + s**6/360 + 23*s**2. Factor f(b).
-b**3*(b - 1)/3
Let r(h) be the second derivative of 5*h**7/42 + h**6/3 - 5*h**4/6 - 5*h**3/6 - 3*h. Factor r(d).
5*d*(d - 1)*(d + 1)**3
Solve 1/2 + 1/2*g**3 - 1/2*g - 1/2*g**2 = 0 for g.
-1, 1
Let b(g) be the second derivative of 0*g**2 + 1/40*g**5 - 1/12*g**4 + 1/12*g**3 - g + 0. Solve b(c) = 0 for c.
0, 1
Let c(m) be the first derivative of 14*m**3/27 + m**2 + 4*m/9 + 6. Factor c(h).
2*(h + 1)*(7*h + 2)/9
Let g = -13 - -103. Let i be (g/40)/((-9)/(-12)). Determine q so that 1/3*q**i + 0 - 1/3*q**5 + 0*q**2 + 0*q + 0*q**4 = 0.
-1, 0, 1
Let y(i) = 14*i**5 - 17*i**4 + 13*i**3 + 11*i**2 + 7*i - 7. Let k(u) = -7*u**5 + 9*u**4 - 6*u**3 - 5*u**2 - 3*u + 3. Let l(p) = 7*k(p) + 3*y(p). Factor l(o).
-o**2*(o - 1)**2*(7*o + 2)
Let m(q) = q**3 - 7*q**2 - 1. Let k be m(7). Let h = k - -1. Factor 16/3*z**5 + 0 - 7/3*z**3 + h*z + 1/3*z**2 + 8/3*z**4.
z**2*(z + 1)*(4*z - 1)**2/3
Let p(m) be the second derivative of m**6/540 - m**5/45 + m**4/9 + m**3/2 - m. Let w(g) be the second derivative of p(g). Factor w(c).
2*(c - 2)**2/3
Let j(v) be the second derivative of -v**7/60 - 23*v**6/240 - 9*v**5/40 - 13*v**4/48 - v**3/6 + v**2 + v. Let z(t) be the first derivative of j(t). Factor z(g).
-(g + 1)**3*(7*g + 2)/2
Solve 3/5 - 3/5*d**3 + 3/5*d - 3/5*d**2 = 0 for d.
-1, 1
Let y be (2/8)/(-4 + 14). Let f(c) be the third derivative of y*c**5 + 1/12*c**3 + 0 + 1/240*c**6 + 1/16*c**4 - 2*c**2 + 0*c. Factor f(n).
(n + 1)**3/2
Let c(j) be the second derivative of j**6/10 + 3*j**5/10 - 5*j**4/4 - 3*j**3 + j + 2. What is b in c(b) = 0?
-3, -1, 0, 2
Determine v so that 9/4*v**4 - 63/4*v**3 + 0 + 3*v**5 - 9/4*v + 51/4*v**2 = 0.
-3, 0, 1/4, 1
Let v = -2072/3 - -691. Find j such that 0 - v*j**2 + 1/3*j = 0.
0, 1
Let c = -1 - -1. Let f = 7/4 + -13/12. Factor c + 2/3*p**3 - 2/9*p**4 - f*p**2 + 2/9*p.
-2*p*(p - 1)**3/9
Let g(w) be the first derivative of w**4 + 8*w**3/3 + 1. Solve g(f) = 0.
-2, 0
Let g be (-49)/(-105) + 2/10. Let h(v) be the first derivative of 8/7*v + 12/7*v**2 - g*v**3 - 1. Solve h(u) = 0 for u.
-2/7, 2
Let r(f) = f**3 - 3*f**2 + 3. Let x be r(3). Suppose -1 = t - x. Determine i so that 3*i**2 + 2*i**4 - 3*i**t = 0.
0
Let x(k) = 19*k**4 + 28*k**3 + 9*k**2 - 8*k - 8. Let r(u) = -13*u**4 - 19*u**3 - 6*u**2 + 5*u + 5. Let v(n) = -8*r(n) - 5*x(n). Factor v(y).
3*y**2*(y + 1)*(3*y + 1)
Let g(v) be the third derivative of v**5/90 - v**4/12 - 4*v**3/9 - 27*v**2. Suppose g(h) = 0. Calculate h.
-1, 4
Determine i, given that -1/2*i**2 + 1/4 + 1/4*i = 0.
-1/2, 1
Let h(x) be the third derivative of -x**10/756000 + x**9/151200 - x**5/30 - 2*x**2. Let r(z) be the third derivative of h(z). Factor r(u).
-u**3*(u - 2)/5
Let i(d) be the second derivative of d**7/8820 - d**6/2520 - d**5/210 - d**4/3 - 3*d. Let o(c) be the third derivative of i(c). Suppose o(h) = 0. Calculate h.
-1, 2
Let i(l) be the third derivative of 1/72*l**4 + 0*l - 1/360*l**6 + 1/180*l**5 + 0 - 3*l**2 - 1/18*l**3. Factor i(z).
-(z - 1)*