= 5*s - 5. Let n be (-3)/s*-1 - 0. Factor 0 + 0*x**4 + n*x**3 + 0*x**2 + 0*x - 1/2*x**5.
-x**3*(x - 1)*(x + 1)/2
Let f(j) be the third derivative of j**6/24 - j**5/12 - 5*j**4/12 + 16*j**2. Let f(s) = 0. Calculate s.
-1, 0, 2
Suppose 2*k - 6 = 2. Let a(v) = -v**3 + 7*v**2 - 4*v - 8. Let p be a(6). Determine z so that 0*z**4 - z**k - z**p = 0.
0
Factor 322*d**3 - 109*d**3 - 107*d**3 + 3*d**2 - 107*d**3 - 2*d.
-d*(d - 2)*(d - 1)
Let t(c) = 4*c + 1. Let p be t(1). Suppose 0 = -p*n - w + 11, 2*n = 2*w - 1 + 3. Find x such that -3*x + n*x - 2*x - 3*x**2 = 0.
-1, 0
Let 960*u + 60*u**4 + 836*u**2 + 120*u**3 + 48 + 4*u**5 + 212*u**3 - 65 + 417 = 0. Calculate u.
-5, -2, -1
Let c be (-3)/((-3)/2 - 0). Let o(i) be the first derivative of 0*i + 0*i**c - 1 - 2/21*i**3 + 1/14*i**4. Suppose o(r) = 0. Calculate r.
0, 1
Factor -4/5*q**2 - 8/5*q + 0.
-4*q*(q + 2)/5
Let l(z) be the third derivative of -z**8/168 + 2*z**7/105 - z**5/15 + z**4/12 - 7*z**2. Determine h, given that l(h) = 0.
-1, 0, 1
Let j(l) = l**2 - 6*l - 31. Let t be j(9). Let u be (6/12)/((-1)/t). Factor 1/4*o**u - 1/4*o**3 + 0 - 1/4*o**4 + 1/4*o.
-o*(o - 1)*(o + 1)**2/4
Factor 0*d + 3/2*d**2 + 11/4*d**3 + 0.
d**2*(11*d + 6)/4
Suppose k - 5 = -3. Solve 11*c**3 - k + c**3 - 15*c**2 - 21*c + 8 = 0.
-1, 1/4, 2
Suppose -5*d = -5*h - 0*d + 25, -4*d = 4*h + 4. Let s(g) = g**3 + 7*g**2 + 2. Let p be s(-7). Let 0*r - 3*r**p + 2*r**h + r = 0. What is r?
0, 1
Let t(h) = 5*h**2 - 22*h - 91. Let p(n) = -3*n**2 + 15*n + 60. Let k(s) = 8*p(s) + 5*t(s). Find x such that k(x) = 0.
-5
Let j(s) be the second derivative of -1/105*s**6 - s + 0*s**2 + 1/70*s**5 + 0*s**4 + 0 + 0*s**3. Factor j(y).
-2*y**3*(y - 1)/7
Let f(q) be the first derivative of -14*q**3/27 + 2*q**2/9 - 3. Solve f(g) = 0.
0, 2/7
Suppose 0 = -w + 3*s - 0*s + 19, 36 = 4*w - 4*s. Let a be 3/w + 20/16. Factor 2/3 + 1/3*n - 1/3*n**a.
-(n - 2)*(n + 1)/3
Let z(c) be the second derivative of c**4/4 + c**3/2 + 2*c. Let z(l) = 0. What is l?
-1, 0
Let q(f) = 54*f**2 + 30*f - 3. Let c(o) = 4 + 3 - 2 - 53*o**2 - 3 - 29*o. Let m(x) = -6*c(x) - 5*q(x). Factor m(k).
3*(4*k + 1)**2
Let v(i) = 4*i. Let f be v(-2). Let x be (-117)/(-104)*f/(-6). Solve -1/2*y**4 + 2*y - 2*y**3 - x*y**2 + 2 = 0.
-2, -1, 1
Solve 0 + 3/7*p - 24/7*p**2 + 15/7*p**5 - 48/7*p**4 + 54/7*p**3 = 0.
0, 1/5, 1
Let x(w) be the first derivative of 1/12*w**3 + 3/4*w + 5 + 1/2*w**2. Factor x(l).
(l + 1)*(l + 3)/4
Let n = -369 - -209. Let v = 806/5 + n. Factor -21/5*p**2 + 3*p**3 + 0 + v*p.
3*p*(p - 1)*(5*p - 2)/5
Suppose 16*u = 18*u - 6. Let d be ((-4)/(-8))/(u/3). Factor 3/2*y**2 - 3/2*y - 1/2*y**3 + d.
-(y - 1)**3/2
Let x be (171/(-11))/(-3) + 20/(-110). Let t(h) be the second derivative of 1/21*h**4 - 1/70*h**x + h + 0*h**3 + 0 + 0*h**2. Find v such that t(v) = 0.
0, 2
Let o(t) = -t - 1. Let x be o(-5). Let l(a) be the third derivative of 0*a + 0 + 0*a**5 + 0*a**3 + 0*a**x - 1/630*a**7 + a**2 + 0*a**6. Factor l(u).
-u**4/3
Let a(f) be the first derivative of -f**4/30 - 2*f**3/15 + 8*f/15 + 3. Let a(u) = 0. Calculate u.
-2, 1
Let b = 3 - 1. Suppose 0 = -10*i + 7*i + 39. Find m, given that i*m + 0*m**2 + 2*m**b - 9*m = 0.
-2, 0
Suppose 0 = 3*h - 3*s - 15, 3*h - 12 = -h + 2*s. Factor c**2 - 2 + h - 2*c**2 - 2*c.
-(c + 1)**2
Suppose 4*n - 11 = 1. Let u be 4/10*(-3 - -5). Let u + 2*o + 2/5*o**n + 8/5*o**2 = 0. Calculate o.
-2, -1
Let f(k) = k**3 + k**2 + k - 1. Let n(q) = 15*q**4 - 39*q**3 - 8*q**2 - 4*q + 8. Let s(b) = 24*f(b) + 3*n(b). Find h, given that s(h) = 0.
-1/3, 0, 2/5, 2
Factor 10*n - 11*n**2 + 0*n**3 + 25*n**3 - 24*n**2.
5*n*(n - 1)*(5*n - 2)
Let y be (-9)/(-198)*48 + 4/(-22). Let -2/5*w**3 - 1/5 - 2/5*w**y + 3/5*w - 1/5*w**5 + 3/5*w**4 = 0. Calculate w.
-1, 1
Let o = 1 + -46. Let l = o - -93/2. Factor -l*j**4 - 1/2*j**5 + 0*j + 0 - 1/2*j**2 - 3/2*j**3.
-j**2*(j + 1)**3/2
Let m = -3/16 + 27/80. Let v(w) be the second derivative of -m*w**6 - 1/8*w**4 - 9/40*w**5 + 0*w**3 + 0*w**2 - 1/28*w**7 + 0 - 4*w. Factor v(p).
-3*p**2*(p + 1)**3/2
Let o(v) be the third derivative of 1/18*v**3 - 1/90*v**5 + 1/336*v**8 - 1/60*v**6 + 1/24*v**4 + 0 - 5*v**2 + 1/630*v**7 + 0*v. Let o(d) = 0. Calculate d.
-1, -1/3, 1
Let f = 22 + -17. Suppose 2*b + f*y = 18, -3*b + 0*b + y = -10. Factor -1/5*x**5 - 1/5*x**b - 1/5*x - 1/5 + 2/5*x**3 + 2/5*x**2.
-(x - 1)**2*(x + 1)**3/5
Let o(s) be the second derivative of -s**6/180 + s**5/60 - s**3/18 + s**2/12 - 28*s. Find f, given that o(f) = 0.
-1, 1
Let b = -20/27 - -38/27. Solve 2/3*i**2 - b*i**3 + 0 + 0*i = 0.
0, 1
Find u, given that -25 - 2*u**2 + 2 - 9 + 16*u = 0.
4
Determine f so that -2*f**4 + 18*f**3 + 6*f**4 + 39*f**2 + 36*f + 12 - f**4 = 0.
-2, -1
Let a(g) = 14*g**4 - 3*g**3 + 3*g**2 + 3*g + 17. Let u(i) = -5*i**4 + i**3 - i**2 - i - 6. Let m(c) = -6*a(c) - 17*u(c). Factor m(q).
q*(q - 1)*(q + 1)**2
Let y(k) be the second derivative of -1/5*k**6 + 4*k + 3/5*k**5 + 5/3*k**4 + 9*k**2 - 1/21*k**7 + 0 - 7*k**3. What is l in y(l) = 0?
-3, 1
Let z(n) be the first derivative of -n**6/140 - n**5/35 - n**4/21 + n**3 + 1. Let c(r) be the third derivative of z(r). Factor c(w).
-2*(3*w + 2)**2/7
Factor 15*u**2 - 15*u**3 - 13*u - u**4 + 8*u + 6*u**4.
5*u*(u - 1)**3
Let g(v) = -7*v**3 + 5*v**2 + 2*v + 3. Let i(p) = -7*p**3 + 5*p**2 + 2*p + 4. Suppose 5*t = -1 - 19. Let c(a) = t*g(a) + 3*i(a). Factor c(o).
o*(o - 1)*(7*o + 2)
Let u(x) be the first derivative of -x**3/15 + 4*x/5 - 15. Find c, given that u(c) = 0.
-2, 2
Let z(m) = -3*m**3 - 5*m**2 - 11*m + 1. Let u(x) = -2*x**3 - 3*x**2 - 6*x + 1. Let s = -9 + 6. Let t(w) = s*z(w) + 5*u(w). Determine b so that t(b) = 0.
-1, 2
Let y(p) be the second derivative of p**5/25 - p**4/12 + p**3/30 - 22*p. Solve y(n) = 0.
0, 1/4, 1
Let d(r) be the first derivative of -1/6*r**4 + 0*r + 1/9*r**3 + 1/15*r**5 + 0*r**2 + 4. Factor d(u).
u**2*(u - 1)**2/3
Let w(v) be the third derivative of 7*v**6/600 + 3*v**5/100 - v**4/10 - 2*v**3/15 - 4*v**2. Let w(k) = 0. Calculate k.
-2, -2/7, 1
Let b(s) be the first derivative of s**6/2 + 3*s**5/5 - 9*s**4/4 - s**3 + 3*s**2 - 70. Solve b(x) = 0.
-2, -1, 0, 1
Let q(a) be the third derivative of -2*a**7/105 + a**6/15 + a**5/15 - a**4/3 + 4*a**2. Factor q(r).
-4*r*(r - 2)*(r - 1)*(r + 1)
Let y(x) be the third derivative of x**9/20160 - x**8/6720 - x**7/1680 + x**6/240 + x**5/20 + 2*x**2. Let v(u) be the third derivative of y(u). Factor v(s).
3*(s - 1)**2*(s + 1)
Let c(p) be the second derivative of p**4/12 + p**3/6 - p**2/2 + 5*p. Let a(m) = 11*m**2 - 10*m + 4. Let h(z) = a(z) + 4*c(z). Factor h(x).
3*x*(5*x - 2)
Let p(c) be the third derivative of c**5/160 + 3*c**4/32 + 9*c**3/16 - 3*c**2. Let p(r) = 0. What is r?
-3
Let v(h) = -2*h + 4. Let i be v(2). Factor 2/7*s**2 + i - 2/7*s**4 + 0*s + 0*s**3.
-2*s**2*(s - 1)*(s + 1)/7
Let t be 20/150 - (-6)/9. Solve t*i - 2/5*i**2 + 0 = 0.
0, 2
Let i(g) be the third derivative of -g**5/12 - 5*g**4/8 + 25*g**3/3 - 38*g**2. Solve i(w) = 0 for w.
-5, 2
Let l be (-4)/2 + 44 + -40. Solve 2/5*h - 2/5*h**l + 4/5 = 0 for h.
-1, 2
Let k = 84 + -81. Let x(j) be the third derivative of 0*j - 1/72*j**4 + 0*j**k - 1/36*j**5 + 4*j**2 + 0. Suppose x(u) = 0. What is u?
-1/5, 0
Let a = 5 + -3. Let d(h) be the third derivative of 0*h**6 + 1/42*h**8 + 0 - h**a - 1/105*h**7 + 0*h**4 + 0*h**5 + 0*h + 0*h**3. Factor d(l).
2*l**4*(4*l - 1)
Let z(n) = 11*n + 57. Let y be z(-5). Factor -2/5*a**3 + 2/5*a + 0 + 0*a**y.
-2*a*(a - 1)*(a + 1)/5
Let g(y) be the third derivative of y**10/75600 - y**9/9450 + y**8/3360 - y**7/3150 + y**4/8 - y**2. Let v(s) be the second derivative of g(s). Factor v(u).
2*u**2*(u - 2)*(u - 1)**2/5
Let p(v) = -5*v + 2*v + 2 + 4*v**3 - v. Let r(x) = -x**4 - 20*x**3 + 20*x - 10. Let j(s) = 11*p(s) + 2*r(s). Suppose j(t) = 0. Calculate t.
-1, 1
Suppose 3 + 5 = 4*t. Suppose 0 = -2*k + 4. Factor 0*z**3 + k*z**3 + 0*z + 2*z + z**t + 3*z**2.
2*z*(z + 1)**2
Suppose 0*z = 2*z - 2*j + 12, -2*z = 2*j + 12. Let l be 4/6*(z + 7). Factor l*t**4 - 4/9*t**3 - 2/9*t**5 - 2/9 - 4/9*t**2 + 2/3*t.
-2*(t - 1)**4*(t + 1)/9
Let x(k) = k**2 + 9 + 0*k + 7*k - 1 + 0*k. Let r be x(-6). Determine v, given that -2/11*v**r + 2/11 + 0*v = 0.
-1, 1
Let s(x) be the first derivative of -x**6/12 - x**5/10 + 3*x**4/8 + 5*x**3/6 + x**2/2 - 20. Suppose s(f) = 0. Calculate f.
-1, 0, 2
Let j(d) = 108*d*