*4 + 0 + 0*g - 2/3*g**2 - 1/3*g**3 = 0. Calculate g.
-1, 0, 2
Let a = -104 - -109. Let z(d) be the third derivative of 0*d**4 - 2/105*d**7 - 4*d**2 - 1/20*d**6 + 0 + 0*d + 0*d**3 - 1/30*d**a. Let z(m) = 0. What is m?
-1, -1/2, 0
Let j(a) be the first derivative of a**6/150 - a**5/100 + 5*a + 2. Let d(z) be the first derivative of j(z). Solve d(s) = 0 for s.
0, 1
Suppose -18*n = 35*n. Find d such that -1/2*d + n - 1/4*d**2 = 0.
-2, 0
Let i(c) = c**4 - 14*c**3 + c**2 + 20*c. Let l(v) = 15*v**4 - 225*v**3 + 15*v**2 + 321*v. Let s(o) = -33*i(o) + 2*l(o). Factor s(d).
-3*d*(d - 3)*(d - 2)*(d + 1)
Let n(w) = -w**3 - w**2 - w + 1. Let h(g) = g**3 + 2*g**2 + 4*g - 3. Let i(f) = 4*h(f) + 12*n(f). What is d in i(d) = 0?
-1, 0, 1/2
Factor -2 - 6 + 2*i**2 + 4 + 2*i + 0.
2*(i - 1)*(i + 2)
Let i be (1/(-3))/(2/(-48)). Factor i*j - 2*j - 3*j + 5 - 2 - 3*j**2 - 3*j**3.
-3*(j - 1)*(j + 1)**2
Let s(z) be the first derivative of z**4/12 + 2*z**3/3 + 2*z**2 - 5*z + 5. Let d(l) be the first derivative of s(l). Determine m so that d(m) = 0.
-2
Factor 3*y**2 - 3/2*y**5 - 1/2*y + 0 + 5*y**4 - 6*y**3.
-y*(y - 1)**3*(3*y - 1)/2
Let m(c) be the first derivative of 2*c**3/3 + 11. Factor m(u).
2*u**2
Let d(j) be the first derivative of -j**6/8 - 9*j**5/20 - 3*j**4/16 + 3*j**3/4 + 3*j**2/4 + 30. Let d(s) = 0. Calculate s.
-2, -1, 0, 1
Let t(r) be the first derivative of r**6/6 + 2*r**5/5 - 2*r**3/3 - r**2/2 - 2. Factor t(x).
x*(x - 1)*(x + 1)**3
Let o be (3 - 3)/(5/((-5)/2)). Let m(d) be the second derivative of -3*d + 1/24*d**4 + o - 1/12*d**3 + 0*d**2. Find v, given that m(v) = 0.
0, 1
Solve -4/3*v**5 - 13/3*v**3 + 4*v**4 - 1/3*v + 0 + 2*v**2 = 0 for v.
0, 1/2, 1
Suppose 5 = -3*t + 4*t, 4*g = -4*t + 20. Suppose 0 = 4*b + 2*z - 28, g*b - 3*b = 3*z - 27. Factor -3*n**4 + b*n**4 + 4*n**3 + n**2 + n**2.
2*n**2*(n + 1)**2
Let z(a) = 19*a**5 + 5*a**4 - 25*a**3 - 9*a**2 + 6*a. Let y(v) = 18*v**5 + 6*v**4 - 24*v**3 - 9*v**2 + 6*v. Let b(i) = 4*y(i) - 3*z(i). Solve b(c) = 0.
-1, 0, 2/5, 1
Let p be 8/3*(5 + 502/(-104)). Let p*w**2 + 8/13*w + 2/13 = 0. Calculate w.
-1, -1/3
Let i be 4/(-18) + (-4)/(-18). Let t = 5978/19513 + 2/1501. Factor t*a + i - 2/13*a**2.
-2*a*(a - 2)/13
Let s = 1 + 1. Factor 20*z**s + 3*z - 19*z**2 - z.
z*(z + 2)
Let c(y) be the third derivative of y**6/30 - y**5/5 - y**4/6 + 2*y**3 - 5*y**2. What is h in c(h) = 0?
-1, 1, 3
Let j be (294/35)/((-4)/(-10)). Let u be (-4)/(-26) + j/117. Factor 2/3*a**2 - 1/3*a**4 - u + 0*a + 0*a**3.
-(a - 1)**2*(a + 1)**2/3
Suppose 0 = 5*k + 4*h + h - 50, 3*k - 2*h - 40 = 0. What is r in k*r**2 + 8*r**3 + 1 + 8*r + 0 + 2*r**4 + 1 + 0 = 0?
-1
Let r = -12/85 - -16/17. Determine f so that r*f - 1/5 - 3/5*f**2 = 0.
1/3, 1
Factor 0 - 2/9*r**5 + 2/3*r**3 + 0*r + 0*r**4 - 4/9*r**2.
-2*r**2*(r - 1)**2*(r + 2)/9
Let p(n) = -n**3 + 9*n**2 + n + 1. Let w = 11 - 1. Let b be (-4)/(-6)*45/w. Let h(u) = -u**3 + 5*u**2 + u + 1. Let k(j) = b*p(j) - 5*h(j). Factor k(f).
2*(f - 1)*(f + 1)**2
Let t be (12/(-90))/(-16 + 2). Let x(v) be the third derivative of 0 + 0*v**5 - 1/168*v**8 - t*v**7 + 0*v**4 + 3*v**2 + 0*v + 0*v**3 + 0*v**6. Factor x(q).
-2*q**4*(q + 1)
Let r(p) be the first derivative of -p**9/21168 + p**7/5880 + p**3 + 1. Let q(s) be the third derivative of r(s). Factor q(y).
-y**3*(y - 1)*(y + 1)/7
Let r(l) be the first derivative of -l**4/18 + 8*l**3/9 - 16*l**2/3 + 128*l/9 + 7. Factor r(y).
-2*(y - 4)**3/9
Suppose 6*y**2 + 4*y**5 - 7*y**5 - 14*y**3 - 1 - 28*y**4 + 39*y**4 + y = 0. Calculate y.
-1/3, 1
Let a(j) be the third derivative of j**9/90720 - j**8/20160 + j**6/2160 - j**5/720 - 5*j**4/24 - 3*j**2. Let p(l) be the second derivative of a(l). Factor p(u).
(u - 1)**3*(u + 1)/6
Let x be -27*(-1)/(-5) + 9. Factor 22/5*p - 4/5 - x*p**2.
-2*(p - 1)*(9*p - 2)/5
Let u = -3 + -2. Let l = -2 - u. Factor -2/7*t**l + 2/7*t + 0 + 0*t**2.
-2*t*(t - 1)*(t + 1)/7
Suppose a - m = 2*m - 10, -5*m = -20. Let u(j) be the first derivative of -2/45*j**5 - 1/9*j**2 + a + 0*j + 2/27*j**3 + 1/18*j**4. Suppose u(z) = 0. What is z?
-1, 0, 1
Suppose 0 = v - 5*t - 11, -v = t - 2*t - 7. Let c be 4/3 + 4/v. Find s, given that 3 - c + 4*s**3 + 0 - 3*s = 0.
-1, 1/2
Let j(v) = -v - 6 + 9*v**2 - 3*v**2 - 1. Let s(l) = -4*l**2 + l + 5. Let h(z) = 5*j(z) + 7*s(z). What is b in h(b) = 0?
-1, 0
Determine w so that -2/15*w**3 + 0 + 4/15*w**4 + 2/15*w - 4/15*w**2 = 0.
-1, 0, 1/2, 1
Let k(x) be the second derivative of -x**4/60 - x**3/15 - x**2/10 - x - 3. Determine c so that k(c) = 0.
-1
Let p(a) be the third derivative of a**8/168 - 2*a**7/105 + a**5/15 - a**4/12 - 37*a**2. Suppose p(z) = 0. Calculate z.
-1, 0, 1
Let i(j) be the first derivative of 0*j - 2/9*j**2 - 1 - 1/6*j**4 + 10/27*j**3. Factor i(g).
-2*g*(g - 1)*(3*g - 2)/9
Determine c so that 0 + 2/5*c - 1/5*c**2 = 0.
0, 2
Let x be ((-12)/90*-6)/((-4)/(-10)). Factor 0*w + 0*w**3 - 4/9*w**x + 2/9 + 2/9*w**4.
2*(w - 1)**2*(w + 1)**2/9
Let r(m) be the third derivative of m**8/560 + m**7/70 + m**6/20 + m**5/10 + m**4/8 + m**3/3 + m**2. Let k(n) be the first derivative of r(n). Factor k(u).
3*(u + 1)**4
Factor -8/3 + 32*t - 186*t**4 + 54*t**5 - 134*t**2 + 710/3*t**3.
2*(t - 1)**3*(9*t - 2)**2/3
Factor 0 - 4/7*h**2 - 2/7*h + 4/7*h**4 + 0*h**3 + 2/7*h**5.
2*h*(h - 1)*(h + 1)**3/7
Factor -2/3*a + 2*a**2 - 2 + 2/3*a**3.
2*(a - 1)*(a + 1)*(a + 3)/3
Let g be (-6)/2 - -3 - -2. Factor 2*b - 33*b**2 - 6 - 5*b + 36*b**g.
3*(b - 2)*(b + 1)
Let k = 4 + -2. Let y(m) = 2*m - 1. Let u be y(k). Factor h**5 + h - h - 2*h**u + h.
h*(h - 1)**2*(h + 1)**2
Let k be -1*(-2 - (-17)/11). Let z = k + -9/44. Factor 0*w - 1/2*w**2 - z*w**3 + 0 + 1/4*w**4.
w**2*(w - 2)*(w + 1)/4
Factor 22/5*k**3 + 0 + 0*k + 12/5*k**2 + 6/5*k**4.
2*k**2*(k + 3)*(3*k + 2)/5
Let a(l) = 3*l**2 + 42*l. Let g be a(-14). Let b(o) be the first derivative of 0*o - 1/20*o**5 - 3 + 1/12*o**3 + g*o**4 + 0*o**2. Factor b(v).
-v**2*(v - 1)*(v + 1)/4
Let v(h) be the first derivative of -h**7/840 - h**6/90 - h**5/24 - h**4/12 + 2*h**3/3 - 1. Let n(u) be the third derivative of v(u). Let n(w) = 0. Calculate w.
-2, -1
Suppose 2*v**4 - 8*v**3 + v**2 + 10*v**3 - 5*v**2 = 0. Calculate v.
-2, 0, 1
Let u(b) be the second derivative of b**4/24 - 7*b**3/12 + 3*b**2/2 - 12*b. Factor u(l).
(l - 6)*(l - 1)/2
Find a, given that 2*a**3 - a**3 + 4*a - 5*a**3 + 2 - 2*a**2 = 0.
-1, -1/2, 1
Let y be (1/(-2))/((-112)/96). Let t(b) be the third derivative of 8/105*b**5 + 2*b**2 - 2/7*b**4 + 0*b + 0 + y*b**3. Factor t(x).
2*(4*x - 3)**2/7
Suppose 3*t = -2*t + 180. Determine n, given that 4*n**2 + 4*n**2 + 232*n**5 - 14*n**4 - 40*n**3 - t*n**5 = 0.
-1/2, 0, 2/7
Factor 3*i + 0*i**3 - 43*i**4 - 9*i + 46*i**4 + 3*i**5 - 15*i**2 - 9*i**3.
3*i*(i - 2)*(i + 1)**3
Factor -9/7*d**3 - 16/7*d + 4/7 + 3*d**2.
-(d - 1)*(3*d - 2)**2/7
Let m(i) = i**2 + 8*i + 10. Suppose -6*r + r - 35 = 0. Let j be m(r). Factor b - 5*b**4 + 3*b + j*b**4 - 4*b**3 + 2.
-2*(b - 1)*(b + 1)**3
Let c(z) be the second derivative of -z**5/15 - 2*z**4/9 - 2*z**3/9 + 20*z. Suppose c(k) = 0. Calculate k.
-1, 0
Let j = 4 + 1. Let q be 2/(-6)*2*-6. Factor -2*d**5 + 0*d**j - 2*d**q + 6*d**3 - 2*d**3.
-2*d**3*(d - 1)*(d + 2)
Let j(b) = 4*b**3 - 4*b**2 - 2. Let n(k) = 2*k - k + k**3 + 0*k + 0*k. Let g(z) = j(z) - 5*n(z). Suppose g(o) = 0. Calculate o.
-2, -1
Factor 1/3*i**3 + 7/3 + 5/3*i**2 - 13/3*i.
(i - 1)**2*(i + 7)/3
Let x(a) = -2*a**3 + 2*a**2 + 2*a - 2. Let z be x(-2). Let u be 10/55 + z/33. Factor -98/11*f**2 + 0*f + u.
-2*(7*f - 2)*(7*f + 2)/11
Factor 0*i - 8/9 + 2/3*i**2 - 2/9*i**3.
-2*(i - 2)**2*(i + 1)/9
Let h(m) be the second derivative of -1/30*m**5 + m + 0*m**2 + 0*m**4 + 0 + 1/9*m**3. Find p such that h(p) = 0.
-1, 0, 1
Let l(z) = 2*z + 11. Let g be l(-6). Let r be ((-6)/(-45))/(g/(-3)). Factor 0 + 2/5*p - 2/5*p**2 + r*p**4 - 2/5*p**3.
2*p*(p - 1)**2*(p + 1)/5
Let a(o) = -7*o**4 + 0*o**3 + 9*o - 9 - o**3 + 11*o**2 + 6*o**3. Let d(p) = p**2 + p - 1. Let g be 236/13 + (-10)/65. Let v(t) = g*d(t) - 2*a(t). Factor v(z).
2*z**2*(z - 1)*(7*z + 2)
Let f be 0 + (1 - 3/3). Let b = f + 2. Find c such that -1 - 2*c**2 - c - 2*c**3 - c**2 + c**3 - b*c = 0.
-1
Factor -1/4*b + 1/2 - 1/4*b**2.
-(b - 1)*(b + 2)/4
Let n(w) = w**2 + 3*w + 2. Let y be n(-3). Solve 0*l**y + l**5 + 2*l**3 + 0*l**2 + 4*l**4 - l**4 = 0 for l.
-2, -1, 0
Let i(y) be th