= -12, 4*l + a*s + s - 12 = 0. Factor 4/7*h**2 + 0 - 4/7*h**4 + l*h**3 + 2/7*h**5 - 2/7*h.
2*h*(h - 1)**3*(h + 1)/7
Let q(y) = y - 12. Let x be q(16). Let a(c) be the second derivative of -1/3*c**2 + 1/15*c**5 + 0 + 0*c**x + 1/45*c**6 - 2/9*c**3 + 2*c. Factor a(p).
2*(p - 1)*(p + 1)**3/3
Let w(o) be the first derivative of o**4/2 + 6*o**3 + 27*o**2 + 54*o + 16. Factor w(b).
2*(b + 3)**3
Let f = 6 - 8. Let n(z) = 6*z**3 - 11*z + 19. Let r(o) = -4*o + 0*o**3 + 2*o**3 + 6 - 3*o**3 + 3*o**3. Let l(k) = f*n(k) + 7*r(k). Solve l(i) = 0.
-2, 1
Let g(z) be the second derivative of -z**7/273 + z**6/195 + z**5/26 + z**4/26 - 8*z. Let g(t) = 0. What is t?
-1, 0, 3
Suppose -4*f - 3*g = -g - 16, -5*f - 2*g + 20 = 0. Solve -2*l**5 + 16*l**4 - 14*l**3 - 16*l**2 + 14*l**5 + 6*l**3 - f*l = 0.
-1, -1/3, 0, 1
Let t(o) be the third derivative of o**8/4800 + o**7/700 - o**6/300 - o**5/20 + 4*o**2. Let f(q) be the third derivative of t(q). Factor f(d).
3*(d + 2)*(7*d - 2)/5
Determine q, given that -2*q**5 + 2*q**3 + 3*q**5 - q**3 - 2*q**4 = 0.
0, 1
Let i(c) be the third derivative of -c**6/60 + 2*c**5/15 + c**4/12 - 4*c**3/3 - 10*c**2. Suppose i(n) = 0. Calculate n.
-1, 1, 4
Let d(s) be the first derivative of s**7/14 - s**6/10 - 3*s**5/10 + s**4/2 + s**3/2 - 3*s**2/2 - 3*s + 6. Let v(t) be the first derivative of d(t). Factor v(g).
3*(g - 1)**3*(g + 1)**2
Suppose -37 = -3*b + 23. Suppose 7*g = 4*s + 3*g + b, 0 = 4*s + 4*g - 20. Factor s*p**2 - 1/2*p + 0 + 1/2*p**3.
p*(p - 1)*(p + 1)/2
Suppose -15 = -7*n + 2*n. Suppose 2*t = t + n. Let h - 4/5*h**2 + 1/5*h**t - 2/5 = 0. What is h?
1, 2
Let y(q) be the third derivative of q**5/60 - q**4/8 + 11*q**2. Factor y(p).
p*(p - 3)
Let -3/2*p**2 + 9/2 + 3*p = 0. Calculate p.
-1, 3
Let -1/2*v**2 - 1/2 - v = 0. What is v?
-1
Find d, given that 2/5*d**2 + 0 + 0*d - 2/5*d**4 + 1/5*d**5 - 1/5*d**3 = 0.
-1, 0, 1, 2
Let r = 232/5 - 46. Factor 2/5*p - 2/5*p**3 + 0 + 2/5*p**4 - r*p**2.
2*p*(p - 1)**2*(p + 1)/5
Suppose -5 + 1 = -2*g. Let x = 9 + -5. Determine i, given that 0*i**3 - x + 2*i**2 - 2*i**3 + g*i + 2 = 0.
-1, 1
Let 27*j**2 + 26*j**2 - 3 - 50*j**2 = 0. What is j?
-1, 1
Determine g, given that -63*g + 15*g**4 - 85*g**3 + 121*g**2 + 49*g**2 + 40 - 77*g = 0.
2/3, 1, 2
Let x(v) = v**3 - 8*v**2 + 6*v + 9. Let l be x(7). Suppose l*p - 3*n = -n, 12 = 4*n. Find b, given that -2/5*b**p + 0*b + 2/5*b**2 + 0 = 0.
0, 1
Let w be (8/(-940)*-5)/1. Let i = w + 43/94. Factor -s**2 - 1/2*s**5 + s**4 + i*s + 0 + 0*s**3.
-s*(s - 1)**3*(s + 1)/2
Let y(i) = -15*i**3 - 12*i**2 + 3*i + 18. Let j(c) be the third derivative of c**6/120 + c**5/60 - c**3/6 - 4*c**2. Let k(n) = -18*j(n) - y(n). Factor k(q).
-3*q*(q + 1)**2
Suppose -j - 4*j = 3*i + 390, i - 2*j + 130 = 0. Let n = -908/7 - i. Factor n*g - 2/7*g**3 - 2/7*g**2 + 2/7.
-2*(g - 1)*(g + 1)**2/7
Let s(v) be the second derivative of v**7/35 - v**6/60 - v**5/10 + v**4/12 - v**2 + v. Let g(u) be the first derivative of s(u). Suppose g(a) = 0. Calculate a.
-1, 0, 1/3, 1
Let q(k) be the second derivative of -5*k**4/12 + 5*k**3/2 - 8*k. Factor q(w).
-5*w*(w - 3)
What is s in -79*s**4 + 78*s**4 + 2 + 2*s - 1 - 2*s**3 = 0?
-1, 1
Factor -4*t**2 - 6 + 4 + 1 + 5*t**2.
(t - 1)*(t + 1)
Let y(m) be the first derivative of -4/3*m**3 - 1/6*m**4 - 1 - 4*m**2 - 3*m. Let u(s) be the first derivative of y(s). Determine w so that u(w) = 0.
-2
Factor 5*o**3 - 3 + 3 - 3*o**2 + o - 3*o.
o*(o - 1)*(5*o + 2)
Let f(y) be the first derivative of -2*y**3/33 - y**2/11 - 4. Factor f(s).
-2*s*(s + 1)/11
Factor -100*w + 97*w + w**2 + 2*w**2.
3*w*(w - 1)
Let q(u) = -u + 5. Let o(p) = -2*p + 10. Let c(i) = -4*o(i) + 7*q(i). Let k be c(7). Solve 0*n**k + 0 + 0*n + 0*n**3 - 2/3*n**4 = 0 for n.
0
Let y(b) = 4*b**3 + 2*b - 1. Let g be y(1). Let v = 9 - g. Find l such that -l - 24*l**5 - 10*l**4 + 0*l**v + 2*l**3 + 13*l**3 = 0.
-1, -1/4, 0, 1/3, 1/2
Let r(s) be the second derivative of -s**7/252 - s**6/90 - 38*s. Solve r(v) = 0 for v.
-2, 0
Find d, given that 4*d - 2*d**2 + 2 - 1 - 3 = 0.
1
Let a(t) be the first derivative of 1/5*t**3 + 3/5*t**2 - 3/20*t**4 + 0*t + 1. Solve a(y) = 0.
-1, 0, 2
Solve 25/2*c**3 + 5/2*c**2 - 5/2*c**4 - 5*c + 0 - 15/2*c**5 = 0 for c.
-1, 0, 2/3, 1
Let x(a) be the first derivative of a**3/3 - 4*a**2 + 16*a - 15. Factor x(l).
(l - 4)**2
Solve -4/5*y**3 + 0 + 4/5*y - 2*y**4 + 2*y**2 = 0 for y.
-1, -2/5, 0, 1
Let p = 11 + -2. Let b(i) = -i**3 - 9*i**2 - 10*i - 6. Let u be b(-8). Factor 2*y**3 - p*y**2 + y**2 + u*y - 2*y.
2*y*(y - 2)**2
Factor 16/3*x**2 + 2*x + 4*x**3 + 0*x**4 + 0 - 2/3*x**5.
-2*x*(x - 3)*(x + 1)**3/3
Let 0*j + 2/3*j**3 - 2/9*j**2 + 2/9*j**5 + 0 - 2/3*j**4 = 0. Calculate j.
0, 1
Let f(l) be the second derivative of l**5/100 - 2*l**3/15 - 64*l. Factor f(r).
r*(r - 2)*(r + 2)/5
Let h(i) = 2*i - 9. Let n be h(6). Suppose n*d = 5*d - 4. Find o such that 0*o**d + 0 + 2/9*o**3 - 2/9*o**4 + 0*o = 0.
0, 1
Suppose 2*s**2 + 68*s**4 - 62*s**2 + 4*s + 30*s**3 + 46*s - 15 - 73*s**4 = 0. What is s?
1, 3
Let m be (1 + -2 - -4)/(18/4). Find r, given that 0 - 4/3*r**3 + m*r**2 + 0*r + 2/3*r**4 = 0.
0, 1
Let k = -40 - -43. Factor -2/7*i**k + 0*i**2 + 0 + 2/7*i.
-2*i*(i - 1)*(i + 1)/7
Let n(j) = j**2 - 5*j + 3. Let i be n(5). Solve -2*y**2 + 3*y - 3*y - y**2 - i*y = 0.
-1, 0
Factor -4/3*s - 1/3 - 4/3*s**2.
-(2*s + 1)**2/3
Let z be (3/9)/((-4)/(-72)). Suppose t**3 + z*t**4 - t**3 - 7*t**4 = 0. Calculate t.
0
Let b(f) be the third derivative of f**6/6 + 2*f**5 + 35*f**4/8 + 25*f**3/6 + 2*f**2. Factor b(l).
5*(l + 5)*(2*l + 1)**2
Suppose -2*p - 4*u - 1 = -5*p, -p + u = -1. Find h such that -h**2 + 3 - 1 + p*h**2 - 4 = 0.
-1, 1
Factor 0*v + 2/7*v**4 + 0*v**3 - 2/7*v**2 + 0.
2*v**2*(v - 1)*(v + 1)/7
Let k = -36 - -51. Factor -28*v**4 - k*v**2 - 16*v - 8*v**2 - 57*v**2 - 92*v**3.
-4*v*(v + 1)*(v + 2)*(7*v + 2)
Let t = -128/5 + 28. Suppose t*z**2 - 2/5*z**3 - 24/5*z + 16/5 = 0. Calculate z.
2
Factor 0 + 1/10*c**3 + 3/10*c - 1/10*c**4 + 1/2*c**2.
-c*(c - 3)*(c + 1)**2/10
Factor -4*f**2 - 61*f + 61*f + 4*f**4.
4*f**2*(f - 1)*(f + 1)
Let w = -316 + 958/3. Let l be 8/6 + (-4)/3. Let -8/9 + l*q + 2*q**5 - 10/3*q**4 + w*q**2 - 10/9*q**3 = 0. What is q?
-2/3, 1
Let j(m) = -m**3 - 3*m**2 + 4*m + 5. Let w be j(-4). Suppose w*x - 10 = -0. Factor -2/9*q**3 - 4/9*q**x + 0 - 2/9*q.
-2*q*(q + 1)**2/9
Let s(i) = i**4 + 3*i**3 + 5*i**2 + 12*i + 9. Let b(v) = v**3 + v**2. Let w(f) = 14*b(f) - 2*s(f). Factor w(k).
-2*(k - 3)**2*(k + 1)**2
Factor 10*z**3 + 4*z**2 + 422*z**4 - 10*z - 427*z**4 + z**2.
-5*z*(z - 2)*(z - 1)*(z + 1)
Let c(f) be the first derivative of 2/21*f**3 + 0*f**2 + 3 - 2/35*f**5 + 2/7*f**4 + 0*f - 4/21*f**6. Determine u so that c(u) = 0.
-1, -1/4, 0, 1
Let j be 82/(-56) - (-6)/(-24) - -2. Factor 2/7*m + j*m**3 + 0 + 4/7*m**2.
2*m*(m + 1)**2/7
Let d = 6 + -3. Suppose s = d*s. Factor -2/5*k**3 + 2/5*k**5 + 0*k - 2/5*k**4 + s + 2/5*k**2.
2*k**2*(k - 1)**2*(k + 1)/5
Let f(q) be the second derivative of q**6/30 + 3*q**5/20 + q**4/6 - 6*q. Let f(g) = 0. What is g?
-2, -1, 0
Let j(w) be the third derivative of -w**5/20 + w**3/2 + 2*w**2. Factor j(g).
-3*(g - 1)*(g + 1)
Let x(p) be the third derivative of -p**8/141120 + p**5/15 + p**2. Let g(f) be the third derivative of x(f). Factor g(d).
-d**2/7
Let j = -1258/7 - -180. Factor 2/7*v**4 + 2/7 - j*v - 2/7*v**5 - 4/7*v**2 + 4/7*v**3.
-2*(v - 1)**3*(v + 1)**2/7
Let q = 87/7 - 1298/105. Let z(v) be the first derivative of 0*v**5 - 1/10*v**4 + 0*v**2 + q*v**6 + 0*v + 2 + 0*v**3. Factor z(r).
2*r**3*(r - 1)*(r + 1)/5
Let d(s) = s - 1. Let p(r) = r**2 - 2*r - 1. Let q(h) = -6*d(h) - p(h). Let m be q(-5). Factor -7*g**m - 3*g + 2*g + 3*g.
-g*(7*g - 2)
Let y(c) = 4*c**3 + 11*c**2 + 5*c. Let z(o) = -4*o**3 - 11*o**2 - 5*o - 1. Let k(s) = 6*y(s) + 4*z(s). Determine i so that k(i) = 0.
-2, -1, 1/4
Let -5/4*y**3 + 15/4*y - 5/2 + 0*y**2 = 0. Calculate y.
-2, 1
Let s(m) = -m**3 - 5*m**2 - 1. Let i be s(-5). Let z(a) = -2*a. Let l be z(i). Solve -4*u**3 - 4*u**l - 2 + 3*u**3 - 5*u + 0*u**3 = 0 for u.
-2, -1
Let d(b) be the first derivative of -b**6/27 - 2*b**5/45 + b**4/18 + 2*b**3/27 - 7. Factor d(u).
-2*u**2*(u - 1)*(u + 1)**2/9
Let z(h) be the first derivative of -1/40*h**5 + 1/12*h**4 - 2*h - 1/12*h**3 + 1 + 0*h**2. Let x(k) be the first derivative of z(k). Factor x(j).
-j*(j - 1)**2/2