5 - x. Factor o*l - 2*l**3 + l + l.
-2*l*(l - 1)*(l + 1)
Let j(m) = 2*m - 20. Let q be j(10). Factor q - 1/3*t**2 - 2/3*t.
-t*(t + 2)/3
Let v(d) be the second derivative of 9*d**5/70 + 10*d**4/21 + 13*d**3/21 + 2*d**2/7 - d - 2. Suppose v(m) = 0. Calculate m.
-1, -2/9
Let i be (12/10)/((-3)/15). Let d be 4/18*(-9)/i. Find l, given that -d + 1/3*l**2 + 0*l = 0.
-1, 1
Let z be 1*1839/441 - 4. Let t(v) be the third derivative of 0 - 1/21*v**3 + 3*v**2 + z*v**7 + 1/6*v**4 - 2/7*v**5 + 0*v + 5/42*v**6. What is c in t(c) = 0?
-1, 1/5
Let n be 20/(-6) - 5/(-15). Let q(m) = 5*m**2 + 3*m + 3. Let f be q(n). Let f*l**2 + 4/3 + 40/3*l + 27*l**3 = 0. Calculate l.
-1, -2/9
Let q(m) = 10*m**2 - 6*m. Let l(y) = 2*y**2 - 10*y - 6. Let n be l(5). Let s(w) = w**2 - w. Let a(g) = n*s(g) + q(g). Factor a(h).
4*h**2
Let z(t) = -4*t**4 + t**3 - 7*t**2 - 6*t - 6. Let j(g) = -4*g**4 + 2*g**3 - 8*g**2 - 7*g - 7. Let v(w) = 6*j(w) - 7*z(w). Factor v(x).
x**2*(x + 1)*(4*x + 1)
Let z be (14/(-9))/((-8)/6). Let k(p) be the second derivative of 0 - 1/3*p**3 - 4/21*p**7 + z*p**4 + 0*p**2 + 13/15*p**6 - 3/2*p**5 - p. Solve k(g) = 0 for g.
0, 1/4, 1
Let p(i) be the third derivative of 0*i**6 + 0 - 1/945*i**7 + 0*i + 0*i**5 + 0*i**4 + 0*i**3 - 2*i**2. Suppose p(a) = 0. Calculate a.
0
Let m be 8/(-5)*20/(-8) - 2. Let o(q) be the first derivative of 1/2*q**2 - 1/9*q**3 - 2/3*q - m. Find c such that o(c) = 0.
1, 2
Factor -3/5*q**3 + 3/5*q**4 + 0*q + 0 - 1/5*q**5 + 1/5*q**2.
-q**2*(q - 1)**3/5
Let m be ((-14)/(-70))/(2/4). Factor 0*s**2 - 2/5*s**3 + 0 + m*s**4 + 0*s.
2*s**3*(s - 1)/5
Suppose -6 = -5*v - 2*j, 0*v - v - 4 = 3*j. Let d be 5/20 - v/72. Factor -d*f**2 + 4/9 - 2/9*f.
-2*(f - 1)*(f + 2)/9
Let f(y) be the first derivative of 4*y**7/525 - 2*y**6/75 - y**5/20 - y**4/30 + y**3/3 + 4. Let a(u) be the third derivative of f(u). Factor a(z).
2*(z - 2)*(4*z + 1)**2/5
Factor -8 + 30*k**2 - 2*k**3 + 8*k - 15*k**2 - 5*k**2 - 8*k**2.
-2*(k - 2)*(k - 1)*(k + 2)
Let w(r) be the third derivative of r**6/960 - r**5/480 - r**4/96 + 38*r**2. Factor w(z).
z*(z - 2)*(z + 1)/8
Let b(l) be the first derivative of l**4/20 - 3*l**2/10 - 3*l - 3. Let h(q) be the first derivative of b(q). Factor h(z).
3*(z - 1)*(z + 1)/5
Suppose 3*c + 18 - 3 = -2*x, 0 = -5*x - 5*c - 25. Let a(b) be the third derivative of 0*b - 1/12*b**4 - 2*b**2 - 2/9*b**3 + x - 1/90*b**5. Factor a(w).
-2*(w + 1)*(w + 2)/3
Let d(l) be the third derivative of -4/525*l**7 - 3/50*l**5 - l**2 + 1/15*l**3 + 1/60*l**4 + 0*l + 11/300*l**6 + 0. Factor d(x).
-2*(x - 1)**3*(4*x + 1)/5
Let x(n) be the second derivative of 0 + 0*n**6 + 0*n**2 - 2*n + 0*n**4 + 1/18*n**3 - 1/30*n**5 + 1/126*n**7. Suppose x(d) = 0. What is d?
-1, 0, 1
Let w be 8/20*2/84. Let x(c) be the third derivative of -1/12*c**4 - 1/20*c**6 + 3*c**2 + 0*c + 0 - 1/10*c**5 + 0*c**3 - w*c**7. Suppose x(r) = 0. What is r?
-1, 0
Let i = 25 - 23. Let c be 2 - (2 - 0 - 0). Solve -2/7*s**5 + 0 + 0*s**i + c*s - 4/7*s**4 - 2/7*s**3 = 0.
-1, 0
Let g(l) be the first derivative of 0*l**3 + 0*l**4 + 3/5*l**5 - 1/2*l**6 + 0*l + 0*l**2 + 2. Factor g(f).
-3*f**4*(f - 1)
Suppose 2 = f - 3*f + 2*i, -2*i + 2 = 0. Factor f + 2/13*l - 2/13*l**2.
-2*l*(l - 1)/13
Let j(w) be the third derivative of w**5/330 + w**4/132 - 2*w**3/33 + 6*w**2. Factor j(q).
2*(q - 1)*(q + 2)/11
Let u(f) be the first derivative of 3*f**5/5 - 3*f**4/4 - 3*f**3 + 15*f**2/2 - 6*f - 38. Factor u(p).
3*(p - 1)**3*(p + 2)
Let y(h) = -h**3 + 4*h**2 + 2*h - 2. Let r be y(4). Suppose -2*l = -14 - r. Factor -l*t**2 + 0*t - 5*t + t.
-2*t*(5*t + 2)
Let t(r) be the first derivative of -r**5/20 - r**4/16 - 10. Find n, given that t(n) = 0.
-1, 0
Let u(n) be the second derivative of n**4/90 + 8*n**3/15 + 48*n**2/5 - 17*n. Suppose u(b) = 0. Calculate b.
-12
Solve -2/5*f**2 + 2/5*f + 2/5*f**4 + 0 - 2/5*f**3 = 0.
-1, 0, 1
Let w(l) = 2*l + 0*l + 2*l - 3*l - 6. Let q be w(6). Factor q + 1/4*t - 1/4*t**4 - 1/4*t**3 + 1/4*t**2.
-t*(t - 1)*(t + 1)**2/4
Factor 16*l**4 + 11*l**3 - 15*l + 4*l**5 + 13*l**3 + 16*l**2 + 19*l + 0*l**3.
4*l*(l + 1)**4
Suppose v = q + 5, 16*v - 4*q = 18*v + 2. Suppose -5/3*d - 1/3*d**v - 4/3*d**2 - 2/3 = 0. What is d?
-2, -1
Let f(c) be the first derivative of -1/14*c**4 + 2/35*c**5 + 4/7*c - 5 - 2/7*c**3 + 1/7*c**2. Determine j, given that f(j) = 0.
-1, 1, 2
Let u be (0 - (-3 - -4))*1. Let x(v) = v**2 - v - 2. Let y(r) = r**2 + r - 1. Let j(o) = u*x(o) + 2*y(o). Factor j(p).
p*(p + 3)
Let y = 242/217 + -8/31. Let h be 1 + 2/(28/(-10)). What is k in 4/7 + y*k + h*k**2 = 0?
-2, -1
Let p(l) be the second derivative of l**5/70 - l**4/42 + 5*l. Let p(h) = 0. What is h?
0, 1
Let o(l) = -11*l**3 + 96*l**2 - 540*l + 1080. Let a(x) = -10*x**3 + 95*x**2 - 540*x + 1080. Let j(n) = -6*a(n) + 5*o(n). Factor j(g).
5*(g - 6)**3
Let l(g) be the third derivative of -g**6/600 + 32*g**2. What is r in l(r) = 0?
0
Let m(c) = 9*c + 15. Let h(y) = 5*y + 8. Let j(r) = -7*h(r) + 4*m(r). Let b be j(-3). Factor -b - 1 - 4*u**2 - u**3 - 6*u + 2*u**5 + 6*u**4 + 5*u**3.
2*(u - 1)*(u + 1)**4
Let y(u) be the second derivative of 3*u**5/5 - u**4/3 + 6*u. Factor y(k).
4*k**2*(3*k - 1)
Let c(f) be the second derivative of 1/4*f**3 - 1/2*f**2 - 2*f - 3/40*f**5 + 1/60*f**6 + 1/24*f**4 + 0. Factor c(d).
(d - 2)*(d - 1)**2*(d + 1)/2
Let g(q) be the first derivative of 15*q**5 + 30*q**4 + 6*q**3 - 12*q**2 + 3*q + 7. Factor g(z).
3*(z + 1)**2*(5*z - 1)**2
Let x(k) be the third derivative of -4/15*k**5 + 1/5*k**6 + 1/168*k**8 + 0*k**4 - 2/35*k**7 + 0*k + 3*k**2 + 0*k**3 + 0. Let x(p) = 0. What is p?
0, 2
Let j(q) = 11*q**3 - 3*q**2 - 7*q - 7. Let v(a) = 2*a - 3*a + 6 + 2*a**2 - 10*a**3 + 7*a. Let p(n) = -6*j(n) - 7*v(n). Factor p(h).
4*h**2*(h + 1)
Factor 2*n**5 + 6*n**4 - 20*n**5 + 3*n**3 - 6*n**5.
-3*n**3*(2*n - 1)*(4*n + 1)
What is m in m + 29*m**2 - 21*m**2 + m = 0?
-1/4, 0
Let p be 1 - 0/(2 + -4). Let c(r) be the first derivative of -r**3 - r - 3/2*r**2 - 1/4*r**4 + p. What is t in c(t) = 0?
-1
Let c(g) be the first derivative of -8*g**5/15 + g**4/6 + 10. Determine d so that c(d) = 0.
0, 1/4
Determine y, given that 1 - 4 + 39*y - 7 + 35*y**2 - 14*y = 0.
-1, 2/7
Let w(f) be the second derivative of -f**5/10 + 7*f**4/6 - 11*f**3/3 + 5*f**2 - 17*f. Factor w(x).
-2*(x - 5)*(x - 1)**2
Suppose -3*w**2 - 13*w**3 + 2*w**4 - w**3 - 10*w**4 + 1 + 4*w + 0*w**2 = 0. Calculate w.
-1, -1/4, 1/2
Suppose -3*c - 4*a + 12 = c, -4*a = 2*c - 4. Suppose q - 10 - 1 = -5*x, 7 = c*x - q. Determine z, given that 7/5*z**3 + 2/5 - 3/5*z - 3/5*z**x - 3/5*z**4 = 0.
-2/3, 1
Let n be -2 - (1 - 0)*-17. Suppose n = 4*c + 3*q, 2*c + c + 4*q = 13. Determine u, given that -46/3*u**c - 26/3*u - 14/3*u**4 - 18*u**2 - 4/3 = 0.
-1, -2/7
Suppose -6 = -5*v + 9. Determine d so that 0 + 2*d**4 - 2/7*d**2 + 4/7*d**v + 0*d + 8/7*d**5 = 0.
-1, 0, 1/4
Let b(j) be the second derivative of -6*j - 1/45*j**6 + 0*j**2 + 0 + 2/15*j**5 + 0*j**3 - 1/6*j**4. Suppose b(p) = 0. What is p?
0, 1, 3
Let c = 7 - 4. Let y = -23/15 - -43/15. Factor 8/3*p**c + 2/3*p**4 + 10/3*p**2 + 0 + y*p.
2*p*(p + 1)**2*(p + 2)/3
Let h(w) be the first derivative of 2/15*w**3 + 1/5*w**2 + 1/30*w**4 - w - 1. Let i(k) be the first derivative of h(k). What is r in i(r) = 0?
-1
Let s(p) = p**3 + 6*p**2 - p - 3. Let u be s(-6). Let j(c) be the second derivative of 0*c**2 - 1/5*c**5 + 0*c**u - 1/6*c**4 + 0 + 3*c - 1/15*c**6. Factor j(a).
-2*a**2*(a + 1)**2
Let f(u) be the third derivative of -u**7/84 + u**6/80 + u**5/60 + 2*u**2. Factor f(d).
-d**2*(d - 1)*(5*d + 2)/2
Let z(y) be the second derivative of y**4/30 + y**3/3 + 4*y**2/5 + 9*y. Find i, given that z(i) = 0.
-4, -1
Let a be ((-12)/4)/(1/(6/(-63))). Solve a*o**3 + 0 + 0*o**2 + 0*o + 2/7*o**4 = 0.
-1, 0
Factor 5 - 5*q**5 + 5*q**4 + 5*q**3 + 2 - 7 - 5*q**2.
-5*q**2*(q - 1)**2*(q + 1)
Let u = -4 - -7. Suppose -3*h = h. Factor -2/5*x**u + h*x + 0 - 2/5*x**2.
-2*x**2*(x + 1)/5
Let a(x) be the third derivative of x**9/7560 + x**8/1680 + x**7/1260 - x**4/24 + x**2. Let r(d) be the second derivative of a(d). Factor r(o).
2*o**2*(o + 1)**2
Let f(i) be the third derivative of -2/315*i**7 + 1/504*i**8 - 1/36*i**4 + 0*i + 1/45*i**5 + 0*i**3 - i**2 + 0 + 0*i**6. Solve f(j) = 0 for j.
-1, 0, 1
Let r = 125483 - 623407/5. Let j = r + -792. Factor 32/5*m**4 + 18/5*m**2 + j*m**3 + 2/5*m + 0.
2