 - 4/7 + 2/7*l = 0 for l.
-1, 2/3
Factor 2/9*z**2 + 4/9*z - 2/3.
2*(z - 1)*(z + 3)/9
Let l(m) = -m. Let u(w) = -w**2 + 6*w - 6. Let q be 2 + (6*-1)/(-2). Let s be u(q). Let i(t) = 2*t**2 + 6*t. Let x(p) = s*i(p) - 4*l(p). Factor x(o).
-2*o*(o + 1)
Let m be ((-1 + 1)/4)/((-3)/(-3)). Factor 0 + 0*f - 2/3*f**2 + 2/3*f**4 + m*f**3.
2*f**2*(f - 1)*(f + 1)/3
Let j be 6/8 + 76/(-16). Let g = j - -8. Factor -6*l - 5*l**4 + g*l**4 - 4*l**2 - 2 + 7*l**4 + 2*l**5 + 4*l**3.
2*(l - 1)*(l + 1)**4
Let z(p) be the second derivative of -p**5/5 + p**4/2 + p**3/3 + 5*p. Let l(q) = -5*q**3 + 6*q**2 + 2*q. Let h(b) = -4*l(b) + 3*z(b). Factor h(i).
2*i*(i - 1)*(4*i + 1)
Suppose 5*x + 3 - 23 = -y, -3*y + 20 = 5*x. Suppose 2*v = 5*c + 16, -5*v - c + 10 + 3 = y. Determine r so that r**3 - 4*r**2 - r**3 - 2*r - 2*r**v = 0.
-1, 0
Let h(z) = z**4 - z**3 - z**2 - z - 1. Let o(b) = -b**5 + 4*b**3 - 4*b**2 - b - 1. Let a(m) = h(m) - o(m). Factor a(i).
i**2*(i - 1)**2*(i + 3)
Let k be 3/(1*(2 + 1)). Let h(v) = -v**4 - v**2 - v. Let r(b) = -b**4 - 8*b**3 - 7*b**2 + b. Let d(y) = k*r(y) + h(y). Suppose d(n) = 0. Calculate n.
-2, 0
Let l(x) be the second derivative of -x**5/240 + x**4/48 - x**3/24 - 3*x**2/2 + 3*x. Let m(q) be the first derivative of l(q). Factor m(f).
-(f - 1)**2/4
Let r(m) be the first derivative of -m**3/9 - 2*m**2/3 + 5*m/3 - 16. Solve r(i) = 0 for i.
-5, 1
Let x(d) be the second derivative of 2*d + 0*d**3 + 0 + 0*d**2 + 1/42*d**4. Factor x(n).
2*n**2/7
Suppose d - 4 = -0*d. Let f(j) be the first derivative of -1 + 0*j + 1/3*j**6 + 1/5*j**5 + 1/2*j**2 - 3/4*j**d - 1/3*j**3. Factor f(p).
p*(p - 1)*(p + 1)**2*(2*p - 1)
Let t be (-36)/(-30)*10/4. Let w = t - 1. Factor 2*q**w - 3*q**2 + q + 3*q**2 + q**3.
q*(q + 1)**2
Suppose -5*s - 2 = -7*s. Factor -q**3 + q - 1 + s + q**2 - q**4.
-q*(q - 1)*(q + 1)**2
Let h(s) = -s**2 + 8*s - 8. Let n be h(6). Let w = n + 0. Factor -2 - w*u**2 - 2*u**2 + 4*u**2 + 4*u.
-2*(u - 1)**2
Suppose -134*n = -124*n. Suppose n + 2/7*f - 4/7*f**3 - f**2 = 0. Calculate f.
-2, 0, 1/4
Suppose -y + 3 = -1. Let u(t) be the second derivative of -1/21*t**y + 0*t**2 + 1/21*t**3 + 0 + 1/70*t**5 + t. Suppose u(d) = 0. Calculate d.
0, 1
Let c(k) be the first derivative of -k + 3 - 1/35*k**5 - 1/105*k**6 + 2/21*k**3 + 0*k**4 + 1/7*k**2. Let d(a) be the first derivative of c(a). Factor d(b).
-2*(b - 1)*(b + 1)**3/7
Find s such that -5*s**2 + 3*s**2 - s**5 - s + 2*s**5 + 2*s**4 = 0.
-1, 0, 1
Factor 1/4*k**2 - k + 1/4*k**3 - 1.
(k - 2)*(k + 1)*(k + 2)/4
Let s = -33/2 + 17. Find j, given that 0*j - s + 1/2*j**2 = 0.
-1, 1
Let u = 5 + -7. Let d be 6/(-6)*u/1. What is f in 0*f**3 - 12*f - 3*f**3 + f - 3 + 2*f - 9*f**d = 0?
-1
Let c(x) be the first derivative of 3 + 1/5*x**2 - 2/15*x**3 + x + 1/30*x**4. Let t(f) be the first derivative of c(f). Factor t(y).
2*(y - 1)**2/5
Let r be (-271)/(-15) + (-6)/15. Let v = r + -17. Factor 0*s + 0 + 0*s**2 + v*s**3.
2*s**3/3
Let m(g) be the second derivative of -g**5/5 + 11*g**4/6 - 5*g**3/3 + 33*g. Let m(p) = 0. What is p?
0, 1/2, 5
Let x(u) = 2*u**3 - 3*u**2 + 3*u. Let i(k) = 3*k**3 - 4*k**2 + 4*k. Let t(h) = h + 6. Let s be t(-9). Let j(m) = s*i(m) + 4*x(m). Suppose j(v) = 0. What is v?
0
Let g(t) be the second derivative of t**4/96 - t**3/8 + 9*t**2/16 - 8*t. Solve g(r) = 0 for r.
3
Let l(k) = -k**2 - 2*k. Suppose 0 = -6*d + d - 10. Let y be l(d). Factor -2/9*o**4 + 0 - 2/3*o**5 + 0*o**2 + y*o + 4/9*o**3.
-2*o**3*(o + 1)*(3*o - 2)/9
Let n = -77 + 50. Let u be (n/(-36))/(6/40). Find t, given that -2/5*t + 3/5*t**u - t**4 + t**2 - 1/5*t**3 + 0 = 0.
-1, 0, 2/3, 1
Let y(f) = -2*f**4 - 16*f**3 - 22*f**2 - 6*f - 2. Let t(a) = a**4 - a**2 + a - 1. Let r(n) = 2*t(n) - y(n). Factor r(j).
4*j*(j + 1)**2*(j + 2)
Let l(q) be the first derivative of 3 - 4/21*q**3 - 4/7*q + 4/7*q**2. What is i in l(i) = 0?
1
Let m(q) be the first derivative of 0*q**2 - 2/21*q**3 + 2/35*q**5 + 0*q**4 + 0*q - 4. Solve m(c) = 0 for c.
-1, 0, 1
Let k(w) be the third derivative of 0 + 0*w - 1/12*w**4 - 1/3*w**3 + 1/60*w**6 + 2*w**2 + 1/30*w**5. Solve k(o) = 0.
-1, 1
Factor 0 + 3*g**3 - 3*g + 3/4*g**4 - 3/4*g**2.
3*g*(g - 1)*(g + 1)*(g + 4)/4
Factor -3*v**4 + 0*v**2 - 5*v**3 + 4*v**2 - 2*v**4 + v**2 + 5*v**5.
5*v**2*(v - 1)**2*(v + 1)
Factor -8/3*f**2 + 0 - 2*f.
-2*f*(4*f + 3)/3
Let r be 5/20 + 19/4. Factor 4*y**2 - 9*y**4 + 5*y**5 + y**4 - 2*y**3 + y**r.
2*y**2*(y - 1)**2*(3*y + 2)
Factor -3/4*r - 1/4*r**3 - 1/4 - 3/4*r**2.
-(r + 1)**3/4
Let -2/5*r + 2/15*r**2 - 8/15 = 0. Calculate r.
-1, 4
Let z(k) be the second derivative of k**5/50 - k**4/15 - k**3/15 + 2*k**2/5 + 6*k. Factor z(h).
2*(h - 2)*(h - 1)*(h + 1)/5
Let l = 1 - -1. What is q in -4*q**l + 186*q - 186*q + 4*q**3 = 0?
0, 1
Let f be 3/((-360)/47) - (-40)/100. Let z(q) be the third derivative of f*q**6 + 1/630*q**7 + 1/72*q**4 + 3*q**2 + 0 + 1/60*q**5 + 0*q**3 + 0*q. Solve z(c) = 0.
-1, 0
Let x(n) be the second derivative of -49*n**4/78 - 28*n**3/39 - 4*n**2/13 + 13*n. Factor x(o).
-2*(7*o + 2)**2/13
Let p(a) be the first derivative of a**4/24 + a**3/6 + a**2/4 + a + 1. Let k(o) be the first derivative of p(o). Determine r so that k(r) = 0.
-1
Suppose 3 = 6*j - 9. Factor 0*l**3 - 4/5*l**4 + 2/5*l + 0 - 2/5*l**5 + 4/5*l**j.
-2*l*(l - 1)*(l + 1)**3/5
Suppose 0*b + 6 = -3*b. Let s be b/18 + (-140)/(-45). Factor 0 + 3/2*k**2 + 1/2*k**4 - 1/2*k - 3/2*k**s.
k*(k - 1)**3/2
Let i(s) be the first derivative of -1/60*s**5 - 1 - 1/24*s**4 + s**2 + 0*s + 0*s**3. Let p(q) be the second derivative of i(q). Factor p(v).
-v*(v + 1)
Suppose 3*q = -y + 3, -2*q = y - 3 - 4. Let k be ((-1)/(-4))/(y/30). Factor 1/4*d**2 - k*d + 0.
d*(d - 2)/4
Let d be 9 + 2 + (-5 - -2). Let u = d + -3. Suppose 8*l**4 + 4*l**2 + 0*l**2 + 3*l**3 + 7*l**3 + 0*l**2 + 2*l**u = 0. Calculate l.
-2, -1, 0
Suppose -h - 3*a + 9 = 0, 6*a = -4*h + 2*a + 20. Let -3*n**4 + n**h - 3*n**4 - 3*n**3 - n**3 - 3*n**5 = 0. What is n?
-1, 0
Let m(r) = r**2. Let a(b) = b**3 + 4*b**2 - 2*b + 6. Let l be a(-5). Let z(s) = -5*s**2 + s. Let d(x) = l*m(x) - 2*z(x). Suppose d(o) = 0. Calculate o.
0, 2
Let c = 0 + 7. Factor -3*g**5 + 5*g**3 - 7*g**3 + 3*g**2 + 9*g**4 - c*g**3.
-3*g**2*(g - 1)**3
Find w such that -1/6*w + 1/6 - 1/3*w**2 = 0.
-1, 1/2
Let l = -10/17 - -47/51. Find h such that 1/3*h**3 + 0 + 0*h - l*h**2 = 0.
0, 1
Let f be 2/(165/75 + (-1)/5). Let g(r) be the first derivative of -2/7*r + 8/21*r**3 + f + 3/7*r**2. Factor g(a).
2*(a + 1)*(4*a - 1)/7
Suppose 2*q - 1 - 3 = 0. What is t in -4*t**q + t**3 + 6*t - 2*t**3 + 2*t**5 + 4 - 7*t**3 = 0?
-1, 1, 2
Let h = 17 + -8. Let h*p**3 + 2*p + p + 9*p**2 + 3*p**4 + 0*p**3 = 0. What is p?
-1, 0
Let j = -13 - -9. Let l(n) = -n**5 + 4*n**4 - 10*n**3 + 7*n. Let m(g) = -6*g**5 + 21*g**4 - 51*g**3 + 36*g. Let o(v) = j*m(v) + 21*l(v). Solve o(d) = 0.
-1, 0, 1
Suppose 3*f = -2*u + 59 - 21, 2*f - 2*u - 22 = 0. Suppose t + 5 = 2*y + 2, -4*t + f = 0. Solve 0*l + 0*l**4 + 0*l**y + 0 + 0*l**2 + 2/5*l**5 = 0.
0
Let s(k) be the third derivative of 9*k**5/100 + k**4/20 - 38*k**2. Suppose s(b) = 0. What is b?
-2/9, 0
Suppose 2*d**4 + 0 - 2*d**2 - 2/5*d**3 - 4/5*d + 6/5*d**5 = 0. Calculate d.
-1, -2/3, 0, 1
Let z = -56041/14 - -4005. Let l = 18/7 - z. Factor -l*j**2 + 0*j + 1/2.
-(j - 1)*(j + 1)/2
Let o(w) be the first derivative of -w**6/30 + 3*w**4/20 + 2*w**3/15 + 9. Suppose o(k) = 0. Calculate k.
-1, 0, 2
Let -7*i**2 + 3*i**2 + 5 + 15*i**3 - 2*i - 13*i**3 - 1 = 0. Calculate i.
-1, 1, 2
Factor 3/4*q**3 + 3/4*q + 1/2 - 2*q**2.
(q - 2)*(q - 1)*(3*q + 1)/4
Let s be -3*-1*4/6. Suppose s*u + 4 = 3*d - 8, -4*u + 4 = d. Let -4*t**2 + t**4 - d*t**5 - 6*t**5 + 10*t**3 + 3*t**4 = 0. Calculate t.
-1, 0, 2/5, 1
Suppose 13 - 43 = -2*w. Solve -1 - 3*z + 2*z**3 - 3*z**2 + z**2 - 12*z**4 + w*z**4 + z**5 = 0.
-1, 1
Let o(y) be the first derivative of -y**5/30 - y**4/6 + y**2/2 + 6. Let d(t) be the second derivative of o(t). Determine z so that d(z) = 0.
-2, 0
Let g = -1/271 - -1089/1355. Factor -2/5*l**2 - 2/5*l + g.
-2*(l - 1)*(l + 2)/5
Let p(m) be the second derivative of -m**2 - m**3 - 2*m - 1/10*m**5 - 1/2*m**4 + 0. Let p(o) = 0. What is o?
-1
Let l(i) be the first derivative of -i**3/4 - 9*i**2/8 - 3*i/2 + 35. Factor l(x).
-3*(x + 1)*(x + 2)/4
Let v(c) be the first derivative of -c**2/2 + 8*c + 6. Let h be v(6). Suppose -64/5