*6/24 - d**5/4 - 24*d**2. Factor j(i).
-5*i**2*(i + 3)
Let t(r) = 5*r**2 + 2*r + 7. Let u(f) = -3*f**2 - 6*f + 1. Let q(a) = a - 1. Let z(v) = 5*q(v) + u(v). Let x(n) = -4*t(n) - 7*z(n). Let x(h) = 0. Calculate h.
0, 1
Suppose 5*k = 25, 2*k + 9 - 7 = 2*f. Factor -f*x**3 - 3*x - 3/2 + 21/2*x**2.
-3*(x - 1)**2*(4*x + 1)/2
Let p(o) be the first derivative of 21/4*o**4 + 3/2*o**2 + 9/5*o**5 + 0*o + 5*o**3 + 4. Solve p(r) = 0 for r.
-1, -1/3, 0
Let i(b) be the second derivative of b**5/18 - 4*b**4/27 + b**3/27 + 2*b**2/9 + 3*b. Let i(v) = 0. Calculate v.
-2/5, 1
Suppose f - 6*f = -5. Let a be f + (1 - (-3 - -3)). Let -2/9*k + 0 - 2/9*k**a = 0. What is k?
-1, 0
Factor 0*v**3 - 2/7*v**4 + 2/7*v**2 + 0*v + 0.
-2*v**2*(v - 1)*(v + 1)/7
Factor 2*m**3 - 3*m - m + 4 - 6*m + 4*m.
2*(m - 1)**2*(m + 2)
Let h(l) = l**3 + 15*l**2 + 13*l - 4. Let v be h(-14). Suppose 2*j + 2*q = -0*j + 4, v = 5*j + 2*q. Determine t so that 1/3*t**3 + 2/3*t**j + 0*t + 0 = 0.
-2, 0
Let q be (-135)/756 - (-3)/4. Factor 0 + q*k - 2/7*k**2.
-2*k*(k - 2)/7
Factor 1/3*g**3 + 0*g**2 + 1/3*g**4 + 0 + 0*g.
g**3*(g + 1)/3
Let r(m) = -m**2 + 8*m - 2. Let g be r(6). Factor 9*u**3 + 11*u**3 + 10*u**4 + 3 + 7*u**2 - 1 + 13*u**2 + g*u + 2*u**5.
2*(u + 1)**5
Factor 3/2*l + 3/4*l**2 + 3/4.
3*(l + 1)**2/4
Let h(a) = -7*a**2 + 8*a. Let w(c) = 15*c**2 - 15*c. Let g(q) = -9*h(q) - 4*w(q). Suppose g(l) = 0. Calculate l.
0, 4
Let k(x) be the first derivative of -3 - 1/9*x**3 + 1/18*x**4 - 1/90*x**5 + 1/9*x**2 - 3*x. Let b(h) be the first derivative of k(h). Factor b(w).
-2*(w - 1)**3/9
Let v(h) = h**3 + 16*h**2 + h + 20. Let p be v(-16). Let r be ((-2)/p)/(15/(-10)). Let -1/3 - 1/3*s + 1/3*s**2 + r*s**3 = 0. Calculate s.
-1, 1
Suppose 0 = 4*w + l - 31, -2*l = 4*w - 7*l - 37. Suppose -3*g = -2*k - w, 0 = -2*g + 3*g - 4*k - 6. Factor -n**5 - n**4 + n**3 + n**g + 0*n**5 + 0*n**5.
-n**2*(n - 1)*(n + 1)**2
Suppose -q - 3*w = -5, -q + 3*q - 2 = 2*w. Let a = 25 - 74/3. Factor -n + 2/3 + a*n**q.
(n - 2)*(n - 1)/3
Suppose -10 = -5*o, -o + 2*o = n + 1. Factor n - 1/4*u**2 - u + 1/4*u**3.
(u - 2)*(u - 1)*(u + 2)/4
Let l = 1/820 - -1629/9020. Solve -l + 4/11*p - 2/11*p**2 = 0 for p.
1
Let b(y) = -3*y - 4. Let r = 5 - 8. Let f be b(r). Factor f*c**3 - 4*c**3 + 0*c**3.
c**3
Let f(l) be the third derivative of l**8/672 - l**7/420 - l**6/240 + l**5/120 + 2*l**2. Let f(s) = 0. Calculate s.
-1, 0, 1
Let y be 4 - 4*7/28. Factor -6/5*s - 3/5*s**2 + 0 + 3/5*s**y.
3*s*(s - 2)*(s + 1)/5
Let q = 16/19 + -13/38. Factor 1/4*u + 0 - q*u**2 + 1/4*u**3.
u*(u - 1)**2/4
Suppose 0*j + 1 = j - 2*m, 0 = 4*m - 8. Let q(v) = -4*v**2 + v - 5. Let a(o) = -6*o**2 + o - 7. Let h(u) = j*a(u) - 7*q(u). Determine b so that h(b) = 0.
-1, 0
Let n(h) = -8*h**3 + 20*h**2 - 52*h + 28. Let g(f) = 7*f**3 - 21*f**2 + 51*f - 29. Let i(l) = -4*g(l) - 3*n(l). Factor i(w).
-4*(w - 2)**3
Let f(z) be the third derivative of z**7/7560 - z**6/1080 + z**5/360 + z**4/8 - 2*z**2. Let h(i) be the second derivative of f(i). Let h(c) = 0. What is c?
1
Let s(d) be the first derivative of d**3 - 3*d**2/2 - 15. Determine m so that s(m) = 0.
0, 1
Let u(y) be the second derivative of 2/5*y**5 + 0*y**2 + 0*y**3 + 2*y - 1/6*y**4 + 0. Suppose u(a) = 0. What is a?
0, 1/4
Let i = -20 - -23. Solve -24/5 + 3/5*r**i - 18/5*r**2 + 36/5*r = 0 for r.
2
Let t(q) = -q**3 + 2*q**2 - 1. Let f be t(1). Suppose -j - 3*j + 12 = f. Let 2/5*b + 2/5 - 2/5*b**2 - 2/5*b**j = 0. Calculate b.
-1, 1
Suppose 5*n - j = -55, -6*j + 3*j - 51 = 3*n. Let k = n - -49/4. Factor -1/4*c**2 + 0 - k*c.
-c*(c + 1)/4
Let c = -32 + 67/2. What is r in -7/2*r + c*r**2 + 1 = 0?
1/3, 2
Let t = 4 + 1. Suppose -2*d = 3*w - 18, -t*d = -2*d - w - 5. Determine x, given that 2/5*x + 0 + 8/5*x**2 + 2*x**d + 4/5*x**4 = 0.
-1, -1/2, 0
Let o(n) = -9 + 4*n**4 + 4*n**3 - 3*n**2 + 2*n + 7*n - 6*n**2 + 0*n. Let l(d) = -2*d**4 - 2*d**3 + 4*d**2 - 4*d + 4. Let f(j) = -9*l(j) - 4*o(j). Factor f(a).
2*a**3*(a + 1)
Let r = 3671/3 + -1223. Let v be 3*(2 + 0 - 1). Determine a so that 4/3*a**v + 2/3*a**4 - 4/3*a - r*a**2 + 0 = 0.
-2, -1, 0, 1
Let c(w) = -23*w**2 + 17*w + 6. Let z(b) be the second derivative of -b**4 + 3*b**3/2 + 3*b**2/2 + 4*b. Let i(s) = -3*c(s) + 5*z(s). Factor i(t).
3*(t - 1)*(3*t + 1)
Let a(k) be the third derivative of k**6/480 + k**5/80 + k**4/48 + 6*k**2. Factor a(y).
y*(y + 1)*(y + 2)/4
Let z(l) be the first derivative of -64*l**4 + 64*l**3 - 24*l**2 + 4*l - 15. Factor z(u).
-4*(4*u - 1)**3
Let c be (-157)/(-3) - 1/(-1). Let u = 54 - c. Let 0 - 1/3*p**5 + 0*p**4 + 0*p**2 - 1/3*p + u*p**3 = 0. Calculate p.
-1, 0, 1
Let c = -12 - -16. Let n(z) = -5*z**2 + 6*z - 5. Let j(m) = -1 + 0 - 3 - 4*m**2 + 5*m. Let w(r) = c*j(r) - 3*n(r). Factor w(o).
-(o - 1)**2
Let 3 + 20*j - 121*j**5 - 10*j**4 + 116*j**5 + 40*j**2 + 15*j**3 - 3 = 0. Calculate j.
-2, -1, 0, 2
Let x be (-20 - -4)/4 - -5. Let h be x*(2 - 6/4). Factor 0 + 1/2*d - h*d**2.
-d*(d - 1)/2
Let h(l) = l - 1. Let r(p) = p**2 + 3. Let b = 4 - 1. Let w(k) = -k + 4. Let d be w(b). Let n(s) = d*r(s) + 2*h(s). Find g, given that n(g) = 0.
-1
Let x(g) be the second derivative of -g**4/3 + 4*g**3 - 18*g**2 - 7*g. Factor x(z).
-4*(z - 3)**2
Let g(z) be the first derivative of 0*z**2 + 1/6*z**3 + 3 - 1/2*z. Factor g(l).
(l - 1)*(l + 1)/2
Let v = 16/13 + -86/91. Factor -2/7*f**3 + 2/7*f + 2/7*f**2 - v.
-2*(f - 1)**2*(f + 1)/7
Let v(p) be the second derivative of -p**6/10 + 3*p**5/20 + p**4/4 - p**3/2 + 24*p. Factor v(u).
-3*u*(u - 1)**2*(u + 1)
Let a be (2/(-6))/((-168)/72). Let m(n) be the first derivative of 2/35*n**5 - 2/7*n + a*n**4 - 2 - 2/7*n**2 + 0*n**3. Factor m(b).
2*(b - 1)*(b + 1)**3/7
Let i = -23 + 70/3. Let u(n) be the third derivative of 0 - i*n**4 - 1/30*n**5 - 4/3*n**3 + 0*n - n**2. Suppose u(k) = 0. Calculate k.
-2
Let i be 2 - 24/81*6. Let m(b) be the first derivative of 0*b**3 - 4 + 2/45*b**5 - 1/9*b**4 + i*b**2 - 2/9*b. Determine r so that m(r) = 0.
-1, 1
Let f(g) be the second derivative of g**6/300 + 3*g**5/200 - 2*g - 28. Factor f(n).
n**3*(n + 3)/10
Let k(p) be the second derivative of p**7/42 - 7*p**6/30 + p**5/4 + 7*p**4/12 - p**3 + p - 3. Factor k(y).
y*(y - 6)*(y - 1)**2*(y + 1)
Let y(k) be the first derivative of k**3/21 + 2*k**2/7 - 5*k/7 + 15. Solve y(b) = 0.
-5, 1
Let p = -1/5 - -19/45. Let t(m) be the first derivative of p*m**3 + 0*m + 2 + 2/3*m**2. Determine j so that t(j) = 0.
-2, 0
Let z(s) be the first derivative of s**3/9 - s**2/3 + s/3 - 17. Factor z(a).
(a - 1)**2/3
Let r(p) = -6 - 1 + 7*p**2 + 1 - 5*p**2 - 4*p. Let o = 9 + -5. Let g(q) = -5*q**2 + 8*q + 13. Let t(a) = o*g(a) + 9*r(a). Factor t(m).
-2*(m + 1)**2
Let g(m) be the first derivative of -m**6/180 + m**5/30 + 4*m**3/3 + 9. Let d(v) be the third derivative of g(v). Determine r, given that d(r) = 0.
0, 2
Let v = -130 + -1. Let n = -1177/9 - v. What is k in n*k**2 - 2/9*k + 0 = 0?
0, 1
Let b = 9 + -7. Let a be (-6)/(-10) - (-1 + 0). Factor -6/5*x**b - 2/5 - a*x.
-2*(x + 1)*(3*x + 1)/5
Let m(n) be the third derivative of n**5/20 + 13*n**4/4 + 169*n**3/2 - 20*n**2. Let m(j) = 0. What is j?
-13
Let p(z) be the third derivative of z**8/112 - z**7/70 - z**6/40 + z**5/20 + 27*z**2. Find a such that p(a) = 0.
-1, 0, 1
Let g(j) = -j + 6. Let q be g(5). Let r(m) = m**3 - m**2 - m. Let f(t) = -18*t**3 + 6*t**2 + 6*t - 3. Let y(l) = q*f(l) + 15*r(l). Factor y(b).
-3*(b + 1)**3
Let x(y) be the first derivative of y**3/2 + 8. Factor x(k).
3*k**2/2
Let m(i) be the first derivative of -3*i**5/25 + 3*i**3/5 - 3*i**2/5 + 38. Determine c, given that m(c) = 0.
-2, 0, 1
Let g(j) be the second derivative of 7*j + 0 + 0*j**2 + 2/21*j**3 - 1/14*j**4 + 0*j**5 + 1/105*j**6. Factor g(y).
2*y*(y - 1)**2*(y + 2)/7
Let t(n) be the second derivative of 0 + 9*n - 2/3*n**3 - 1/42*n**7 - 13/20*n**5 - n**4 + 0*n**2 - 1/5*n**6. What is u in t(u) = 0?
-2, -1, 0
Let o(j) be the second derivative of -j**6/135 - j**5/30 - j**4/27 + 8*j. Suppose o(i) = 0. What is i?
-2, -1, 0
Let w(v) be the second derivative of v**6/150 + v**5/25 - 8*v**3/15 + 3*v**2/2 - 3*v. Let u(j) be the first derivative of w(j). Factor u(z).
4*(z - 1)*(z + 2)**2/5
Let x(t) = 9*t**3 - 17*t - 3. Let n(q) = -5*q**3 + 9*q + 1. Let w(g) = 10*n(g) + 6*x(g). Factor w(y).
4*(y - 2)*(y + 1)**2
Let n(z) be the third derivative of z**6/200 - z**4/40 -