-1 - (-3 + 1). Find c such that -c + 0*c**2 - a*c**2 + c = 0.
0
Factor 0 + 5/3*n**3 + 10*n**2 + 0*n.
5*n**2*(n + 6)/3
Let w(n) be the first derivative of 2*n**7/35 - n**6/6 + n**5/15 + n**4/6 - 3*n**2 - 5. Let q(a) be the second derivative of w(a). Factor q(v).
4*v*(v - 1)**2*(3*v + 1)
Let o(c) be the first derivative of -2*c**3/27 - c**2/9 + 4*c/9 - 8. Factor o(j).
-2*(j - 1)*(j + 2)/9
Let j(u) = -u**2 + u + 1. Let z(k) = -114*k**2 - 51*k - 11. Let b(l) = -21*j(l) - 3*z(l). Determine s, given that b(s) = 0.
-2/11
Let z(q) be the first derivative of q**4/32 - q**3/8 + q/2 - 15. Factor z(c).
(c - 2)**2*(c + 1)/8
Factor -6*m**4 + m**3 + 6*m**4 + 4*m**4.
m**3*(4*m + 1)
Let n(h) = -h**3 + 1. Let x be n(-1). Let y be x/10 + 3/(-15). Factor y*o + 2*o - 2*o**2 - 4*o.
-2*o*(o + 1)
Suppose 5*g - 18 = -v, -2*v - 3*g = 3 - 18. Suppose 0*p**2 + 2/5 + 3/5*p - 1/5*p**v = 0. Calculate p.
-1, 2
Suppose -5*j - 6*k = -3*k - 17, 2*j = -3*k + 5. Factor 2*b**j - b**3 + 2*b**3 + b**5 + b**4 - 3*b**2 - 2*b.
b*(b - 1)*(b + 1)**2*(b + 2)
Let o = -677 - -2709/4. Factor -o*w**2 + 0 - 3/4*w.
-w*(w + 3)/4
Let u(x) be the first derivative of 2/5*x**5 + 3 + 0*x + 0*x**2 + 2/3*x**3 - x**4. Factor u(w).
2*w**2*(w - 1)**2
Factor 8/7 + 4/7*a - 4/7*a**2.
-4*(a - 2)*(a + 1)/7
Let k(x) = -5*x - 2 + 2 - x**2 + x - 1. Let v be k(-3). Suppose -2*d**v + 24/7*d + 8/7 = 0. Calculate d.
-2/7, 2
Let m be (-2)/(-6) - 442/3. Let k be ((-14)/m)/((-1)/(-12)). Factor 2/7 - k*b**2 - 6/7*b.
-2*(b + 1)*(4*b - 1)/7
Let y(l) be the first derivative of -2*l + 5/3*l**3 - 3/2*l**2 - 1. Factor y(w).
(w - 1)*(5*w + 2)
Find c, given that 9/4*c**2 - 1 + 3/2*c + 5/8*c**3 = 0.
-2, 2/5
Determine h, given that -1/4 + h**3 - 1/2*h - 1/2*h**5 + 1/2*h**2 - 1/4*h**4 = 0.
-1, -1/2, 1
Let t(g) = 8*g**3 - 12*g**2 + 8*g + 3. Let k(z) = z**3 - z**2 + 1. Let x(i) = -14*k(i) + 2*t(i). Solve x(m) = 0 for m.
1, 2
Let z(g) be the first derivative of 4*g**3/3 - 2*g**2 - 3. Factor z(d).
4*d*(d - 1)
Let n(l) = 9*l**2 + 60*l + 51. Let u(z) = -2*z**2 - 15*z - 13. Let m(w) = -5*n(w) - 21*u(w). Suppose m(d) = 0. What is d?
-1, 6
Let a(n) be the second derivative of n**7/231 - 3*n**5/110 - n**4/33 - 6*n. Solve a(i) = 0.
-1, 0, 2
Let l be 2/3 - (-5815)/(-15). Let c = -1927/5 - l. Factor c*f**3 + 2/5*f**4 + 0*f + 0 + 8/5*f**2.
2*f**2*(f + 2)**2/5
Let w(g) be the second derivative of -9*g - 3/5*g**2 + 19/30*g**3 + 7/60*g**4 + 0. Factor w(s).
(s + 3)*(7*s - 2)/5
Suppose -2*k - 5*u = -0*k - 16, -k + 2*u + 8 = 0. Let a be (k/28)/(1/7). Factor -6*w**a - 4*w**4 - w**3 - 2*w - 5*w**3 + 2*w**4.
-2*w*(w + 1)**3
Let u(d) = d - 5. Let t be u(5). Suppose t = 5*n - 2*c - 19, n = -0*n + 5*c + 13. Factor -3*v**4 + 9*v**5 + 12*v**2 + 0*v - 9*v**4 - 5*v**n - 4*v.
v*(v - 1)*(v + 1)*(3*v - 2)**2
Let k(g) be the first derivative of 3*g**5/20 + g**4/4 - g**3/2 + 2*g**2 - 1. Let l(p) be the second derivative of k(p). Factor l(w).
3*(w + 1)*(3*w - 1)
Solve -4*z**3 + 39*z**2 + 3*z**3 - z - 41*z**2 = 0 for z.
-1, 0
Determine b so that -b + 4*b**2 + 7*b - 3*b + b**2 = 0.
-3/5, 0
Let x(v) be the second derivative of -v**5/60 + v**4/12 + 3*v**2 + 7*v. Let f(m) be the first derivative of x(m). Factor f(n).
-n*(n - 2)
Let g be 10/4*56/10. Let n(m) = -3*m**2 + 3*m - 5. Let c(r) = -8*r**2 + 8*r - 14. Let v(s) = g*n(s) - 5*c(s). Find b, given that v(b) = 0.
0, 1
Let n(u) = -u - 2. Let k be n(-4). Find g, given that -6*g - 3/2*g**k - 6 = 0.
-2
Let h(x) = 12*x**3 - 24*x**2 + 29*x. Let w(y) = 4*y**3 - 8*y**2 + 10*y. Let j(n) = -6*h(n) + 17*w(n). Factor j(b).
-4*b*(b - 1)**2
Suppose -41*h = -33*h. Factor -x + 0 - 1/2*x**4 + 3/2*x**2 + h*x**3.
-x*(x - 1)**2*(x + 2)/2
Let h = 1 + 1. Suppose f = 3*i, 3*f + 0 = 5*i + 4. Let -h - 24*a**2 - 17*a**f + 13*a**3 - 6*a**4 - 12*a - 16*a**3 = 0. What is a?
-1, -1/3
Let s(x) be the first derivative of x**5/5 - x**4/3 - x**3/9 + x**2/3 + 6. Suppose s(a) = 0. What is a?
-2/3, 0, 1
Let x(n) = n**2 - n + 2. Let r be x(0). Let z be (0/r)/(7 - 6). Let -1/5*j**2 + 1/5 + z*j = 0. What is j?
-1, 1
Let d(j) be the third derivative of -5*j**8/336 + 5*j**7/42 + j**6/24 - 5*j**5/12 + 10*j**2 + 2*j. What is t in d(t) = 0?
-1, 0, 1, 5
Let u(p) be the first derivative of 2*p**6 - 27*p**5/5 + 3*p**4/2 + 8*p**3 - 9*p**2 + 3*p - 18. Factor u(l).
3*(l - 1)**3*(l + 1)*(4*l - 1)
Find r such that -3/2 + 3/4*r + 3/4*r**2 = 0.
-2, 1
Solve -3/5*m**2 + 3/5*m**3 + 0*m + 0 = 0.
0, 1
Let f = -26 + 132/5. Determine w, given that 0*w + 0 - f*w**4 + 3/5*w**3 - 1/5*w**2 = 0.
0, 1/2, 1
Let j(p) be the third derivative of p**7/1785 - p**6/1020 - p**5/510 + p**4/204 - 2*p**2. Factor j(v).
2*v*(v - 1)**2*(v + 1)/17
Let q(c) be the third derivative of -c**5/210 - c**4/21 - 4*c**3/21 + 7*c**2. Determine z so that q(z) = 0.
-2
Factor 0 + 0*u**3 + 6/7*u + 9/7*u**2 - 3/7*u**4.
-3*u*(u - 2)*(u + 1)**2/7
Let d = -56 + 38. Let g = 37/2 + d. Find p such that 0 + 0*p**2 + 0*p - 3/4*p**4 - 5/4*p**5 + g*p**3 = 0.
-1, 0, 2/5
Let 6/7*m**2 - 4/7*m**3 + 8/7*m - 2/7*m**4 - 8/7 = 0. Calculate m.
-2, 1
Let -75*y**5 - 7*y**2 + 49*y**2 - 96*y**3 + 27*y + 57 - 63 - 180*y**4 = 0. Calculate y.
-1, 1/5, 2/5
Let v(r) = r**2 - 4*r - 2. Let y be v(5). Factor 0*g**3 - g**4 - g**3 - g**2 + 3*g**y.
-g**2*(g - 1)**2
Let l(i) = -i + 8. Let x be l(4). Solve -o + o + x*o + 6*o**2 + 2*o**3 = 0.
-2, -1, 0
Let v(s) be the third derivative of -6*s**2 - 1/80*s**6 + 0 + 0*s**4 + 0*s + 0*s**3 + 1/20*s**5. Factor v(p).
-3*p**2*(p - 2)/2
Let w(h) be the first derivative of -1/4*h + 1/12*h**3 - 1 + 1/8*h**2 - 1/16*h**4. Factor w(g).
-(g - 1)**2*(g + 1)/4
Let x(w) = w**2 - w - 5. Let j(u) = -u**2 + u + 4. Let z(f) = f - 1. Let n be z(4). Let c(v) = n*j(v) + 2*x(v). Factor c(i).
-(i - 2)*(i + 1)
Suppose -6*o = -5*o - 4*b - 3, -4*o = -3*b - 12. Solve -4/5 + 1/5*f**5 - 1/5*f**2 - 8/5*f + f**4 + 7/5*f**o = 0 for f.
-2, -1, 1
Suppose -17 = -3*o - f, -2*f - 17 - 4 = -5*o. Let 4*t**5 - t**3 - 7*t**5 - 3*t**5 - o*t**3 - 15*t**4 = 0. What is t?
-2, -1/2, 0
Let f = -74 + 372/5. Factor 4/5*s**4 + 0*s**2 + f*s**5 + 0 + 2/5*s**3 + 0*s.
2*s**3*(s + 1)**2/5
Find q, given that -1/3*q**2 - 2/3*q + 0 = 0.
-2, 0
Suppose -3*f - 2*y - 5 = -2*f, -5*f - 2*y = -15. Let q = -1 + f. Solve 0*h**2 + 0*h - 1/4*h**q + 0 + 0*h**3 = 0.
0
Let z = 29/108 - 1/54. Suppose z*c**4 + 0*c - 1/4*c**2 + 3/4*c**5 - 3/4*c**3 + 0 = 0. What is c?
-1, -1/3, 0, 1
Suppose -4*a + 3*n + 0*n = 0, n = -a. Suppose -5*s + b = 5, 0 = -4*s + 3*s - 4*b + 20. Factor a - 1/4*k**4 - 1/4*k**3 + 0*k**2 + s*k.
-k**3*(k + 1)/4
Let c(d) be the first derivative of d**6/15 + d**5/10 - d**4/6 - d**3/3 + d + 6. Let g(m) be the first derivative of c(m). Solve g(r) = 0 for r.
-1, 0, 1
Factor -3*k - 3 - 3/4*k**2.
-3*(k + 2)**2/4
Let k(r) be the third derivative of 0*r - 1/72*r**4 + 2*r**2 + 0 + 1/180*r**5 + 0*r**3. Factor k(q).
q*(q - 1)/3
Let t(h) = -2*h**3 + h**2 - 2*h + 2. Let r(x) = -x**3 + x**2 - 3*x + 3. Let m = -17 - -19. Let u(z) = m*r(z) - 3*t(z). Factor u(c).
c**2*(4*c - 1)
Let x(q) be the first derivative of 2*q**6/3 + 2*q**5/5 - 2*q**4 - 4*q**3/3 + 2*q**2 + 2*q - 5. Find n such that x(n) = 0.
-1, -1/2, 1
Let p be (-2)/8 - 1627/5236. Let s = 2/187 - p. Factor -s*k**4 + 0*k**3 + 2/7*k + 4/7*k**2 - 2/7*k**5 + 0.
-2*k*(k - 1)*(k + 1)**3/7
Let i(l) be the third derivative of -5*l**5/12 + 5*l**4/12 + 5*l**3/2 - 6*l**2. Determine d so that i(d) = 0.
-3/5, 1
Let p(y) be the third derivative of -1/5*y**5 - 3/40*y**6 + 0*y**3 + 0 + y**2 + 0*y - 1/8*y**4. Determine s, given that p(s) = 0.
-1, -1/3, 0
Let j(s) = -s + 12. Let z be j(9). Find l, given that 6*l**z + l + 21*l**2 + 20 + 11*l - 32 = 0.
-2, 1/2
Factor 18*y**2 + 9*y + 3/2 + 12*y**3.
3*(2*y + 1)**3/2
Factor -1/4*h**4 - 1/4*h**3 + 0 + 0*h + 0*h**2.
-h**3*(h + 1)/4
Let j(h) be the third derivative of 1/504*h**8 + 0 + 0*h + 1/180*h**5 + 0*h**3 + 0*h**4 + 1/126*h**7 + 1/90*h**6 + 3*h**2. Factor j(k).
k**2*(k + 1)**2*(2*k + 1)/3
Let r(g) = 5*g - 4*g + g - 4 - 4*g. Let z be r(-3). Determine u, given that 1/3*u**z + 2/3*u + 1/3 = 0.
-1
Factor 3*i**4 + 4*i**2 + 2*i**4 - 7*i**4 - 2*i**3.
-2*i**2*(i - 1)*(i + 2)
Let g(p) = 2*p**2 + 1 - 2*p - 7 + 0 - 6. Let t(u) = -1. Let o(r) = g(r) - 8*t(r). Determine z so that o(z) = 0.
-1, 2
Let k(y) be the third derivative of y**5/210 + y**4/14 + 8*y**3/21 - 34*y**2. Factor k(i).
2*(i + 2)*(i + 4