0 + 1/2*v**2 - 1/3*v**y - v. Factor x(d).
(d - 1)**2
Let j be 2/5 - 305/(-50). Let l = 7 - j. What is k in 0*k**2 + k**3 - l*k**4 + 0 + 0*k = 0?
0, 2
Solve 4/7*p**4 - 12/7*p**2 - 4/7*p**3 + 4/7*p + 8/7 = 0.
-1, 1, 2
Let i be -2 + (-35)/(-20) + 49/180. Let f(d) be the second derivative of 0*d**3 + 3*d + 0*d**2 - 1/18*d**4 + 0 + 0*d**5 + i*d**6. Factor f(p).
2*p**2*(p - 1)*(p + 1)/3
Find u such that 20/7*u**5 - 16/7 - 50/7*u**3 + 6*u**4 - 68/7*u**2 + 72/7*u = 0.
-2, 2/5, 1/2, 1
Let p(d) be the first derivative of 0*d**3 - 2 + 1/5*d**4 - 1/15*d**6 + 0*d - 1/5*d**2 + 0*d**5. Let p(w) = 0. What is w?
-1, 0, 1
Let -46*o**3 - 5*o**2 + 20 + 14*o**3 + 15*o**3 + 12*o**3 + 20*o = 0. Calculate o.
-2, -1, 2
Suppose -6*t = 4*t. Factor 0*o**2 + 2/9*o**4 + 0*o + t*o**3 + 0.
2*o**4/9
Factor 1/3*d**4 + 0 - d**3 + 1/3*d**5 - 1/3*d**2 + 2/3*d.
d*(d - 1)**2*(d + 1)*(d + 2)/3
Let p be (518/(-8))/(3/(-4)). Let t = 87 - p. Factor 4/3*u + t*u**2 + 2/3.
2*(u + 1)**2/3
Let i(k) be the second derivative of -2*k**6/75 + 31*k**5/100 - 14*k**4/15 - 8*k**3/15 - 2*k + 7. Factor i(x).
-x*(x - 4)**2*(4*x + 1)/5
Let b(v) be the first derivative of -v**3/18 - v**2/3 - v/2 + 3. Find g such that b(g) = 0.
-3, -1
Let n(h) be the first derivative of h**4 - 4*h**3/3 + 7. Factor n(t).
4*t**2*(t - 1)
Let l(j) be the first derivative of 0*j - 1/3*j**3 + 1 - 1/3*j**2 - 1/12*j**4. Solve l(z) = 0.
-2, -1, 0
Let l(p) be the first derivative of 4/3*p + 2/3*p**3 + 10 + 1/6*p**4 - 2/15*p**5 - 5/3*p**2. Factor l(q).
-2*(q - 1)**3*(q + 2)/3
Let w be 1/18 - 0*(-3)/(-15). Let v(i) be the second derivative of 1/45*i**5 + 1/27*i**3 + 0 + 0*i**2 - 2*i - w*i**4. Solve v(t) = 0.
0, 1/2, 1
Let k(z) be the first derivative of z**4/20 - z**3/15 - z**2/10 + z/5 + 17. Let k(m) = 0. Calculate m.
-1, 1
Determine n so that 0*n**2 - 2/23*n**3 + 2/23*n**5 + 0*n**4 + 0 + 0*n = 0.
-1, 0, 1
Suppose 5*b = -20, -m - 3*b - 8 = 2. What is f in 1/2 + 2*f**m - 2*f = 0?
1/2
Let u = 50/3 - 16. Factor -1/3*f**2 - u*f**3 - 1/3*f**4 + 0*f + 0.
-f**2*(f + 1)**2/3
Let g(p) = p + 10. Let a be g(-7). Suppose -2*c**2 - c**2 - 3*c**3 + 0*c**2 + 0*c**a = 0. What is c?
-1, 0
Suppose -4*a + 16 = -t, -5*t - 6*a - 16 = -10*a. Let t*c - 8/7*c**2 - 2/7*c**5 + 6/7*c**4 + 0*c**3 + 0 = 0. What is c?
-1, 0, 2
Let y be (20/15)/((-6)/9) - -7. Find c, given that 0 - 1/5*c + 4/5*c**4 + 4/5*c**y - 4/5*c**2 - 3/5*c**3 = 0.
-1, -1/2, 0, 1
Let i(s) be the second derivative of -7*s**5/270 + s**4/54 - s**2 - 3*s. Let b(u) be the first derivative of i(u). Factor b(c).
-2*c*(7*c - 2)/9
Let p be 5/((-9)/(27/(-12))). Let d(g) be the first derivative of g + p*g**2 + 1/8*g**4 + 2/3*g**3 - 2. Factor d(q).
(q + 1)**2*(q + 2)/2
Solve 3*d**3 + 31 + 3*d**5 - 31 + 6*d**4 = 0 for d.
-1, 0
Let k(z) = 11*z**2 - 23*z + 12. Let r(n) = 4*n**2 - 8*n + 4. Let j(i) = 6*k(i) - 17*r(i). Factor j(t).
-2*(t - 1)*(t + 2)
Let d(g) be the third derivative of g**7/70 - g**6/20 + g**5/20 - 7*g**2. Suppose d(t) = 0. Calculate t.
0, 1
Let u = 580 - 577. Suppose 3/2 + 3*y**5 + 21/4*y - 33/4*y**u - 21/4*y**2 + 15/4*y**4 = 0. What is y?
-2, -1, -1/4, 1
Find n such that -12/11*n**3 + 48/11*n - 18/11*n**2 + 6/11*n**4 - 24/11 = 0.
-2, 1, 2
Factor -4/5*f**2 + 2/5*f**4 - 4/5*f**3 + 2/5 + 2/5*f + 2/5*f**5.
2*(f - 1)**2*(f + 1)**3/5
Let j(r) be the second derivative of -11*r**5/4 + 65*r**4/12 - 5*r**3/3 - 27*r. Factor j(a).
-5*a*(a - 1)*(11*a - 2)
Let g be -4 - (-95)/(-50)*(-5)/2. Factor 0 - g*z**3 + 0*z**2 + 0*z.
-3*z**3/4
Let v(p) be the third derivative of 0 + 0*p**5 + 0*p**4 + 1/1176*p**8 + 0*p**3 + 0*p - 1/735*p**7 + 0*p**6 + 3*p**2. Solve v(x) = 0 for x.
0, 1
Let c(f) = f + 2. Let l be c(0). Suppose -7*y = -3*y + 3*y. Find x, given that 2/3*x**4 + 0*x + y*x**3 + 0 - 2/3*x**l = 0.
-1, 0, 1
Factor 0 - 4/3*g + 1/3*g**2.
g*(g - 4)/3
Let j be (-2)/(3 + -27) - 0. Let f(r) be the third derivative of -1/12*r**4 + 0 + 1/60*r**6 + j*r**3 + 2*r**2 - 1/120*r**5 + 0*r. Determine v so that f(v) = 0.
-1, 1/4, 1
Let r(j) be the first derivative of -3*j**5/40 + 9*j**4/32 - 3*j**3/8 + 3*j**2/16 - 24. What is w in r(w) = 0?
0, 1
Let c = -894/7 - -128. Let r = -3 + 5. Determine i, given that c*i**4 + 6/7*i**r + 0 - 6/7*i**3 - 2/7*i = 0.
0, 1
Let f(z) be the third derivative of z**9/241920 - z**8/26880 + z**6/720 - z**5/60 - 4*z**2. Let r(c) be the third derivative of f(c). Factor r(v).
(v - 2)**2*(v + 1)/4
Let m = -20 + 22. Suppose -3*z + 20 = m*z. Find w such that -17/3*w**2 + 0 + 8*w**5 + 2/3*w + 49/3*w**3 - 58/3*w**z = 0.
0, 1/4, 1/2, 2/3, 1
Suppose -3/7*y**2 - 9/7*y - 6/7 = 0. What is y?
-2, -1
Let n(h) be the third derivative of h**8/336 + h**7/70 + h**6/120 - h**5/20 - h**4/12 - h**2. Factor n(k).
k*(k - 1)*(k + 1)**2*(k + 2)
Let m(y) be the third derivative of y**5/6 - y**4/6 + y**3/2 - 2*y**2. Let v(d) = -30*d**2 + 12*d - 8. Let t(i) = 8*m(i) + 3*v(i). What is w in t(w) = 0?
0, 2/5
Let l(t) = t + 1. Let b(k) = -2*k**3 - 18*k**2 - 56*k - 56. Let i(x) = b(x) + 2*l(x). Determine z so that i(z) = 0.
-3
Let o(m) be the third derivative of 0 + 9*m**2 - 4/9*m**3 + 0*m - 16/315*m**7 - m**4 - 97/90*m**5 - 2/5*m**6. Suppose o(f) = 0. What is f?
-2, -1/4
Determine t so that 1/7*t**2 + 3/7*t + 2/7 = 0.
-2, -1
Suppose -5*h = -3*h - 10. Find i, given that i**5 - 5*i**h - i - 2*i**4 + 0*i**5 + 2*i**2 + 5*i**5 = 0.
-1, 0, 1
Let d(i) = -23*i**4 - 8*i**3 + 7*i**2. Let c(y) = -15*y**4 - 5*y**3 + 5*y**2. Let p(l) = 8*c(l) - 5*d(l). Suppose p(j) = 0. Calculate j.
-1, 0, 1
Let d(s) = -s**2 - 5*s + 0 + 4*s + 2. Let m(v) = -2*v**2 - 2*v + 4. Let f(n) = 5*d(n) - 3*m(n). Find q, given that f(q) = 0.
-2, 1
Let q(w) = 4*w**2 - 1. Let p be q(-1). Suppose 5 = f + p. Factor 1/4*c**f + 0 + 1/2*c.
c*(c + 2)/4
Let p(x) be the third derivative of x**8/32 + 19*x**7/140 + x**6/10 - x**5/10 - x**2. Find v such that p(v) = 0.
-2, -1, 0, 2/7
Let u(y) be the first derivative of 16*y**5 + 90*y**4 + 485*y**3/3 + 90*y**2 + 20*y + 3. What is z in u(z) = 0?
-2, -1/4
Let p be (-93)/162*9/6. Let q = 10/9 + p. What is k in 0 - 1/4*k**3 - q*k + 1/2*k**2 = 0?
0, 1
Let j = 2 - 0. Let w(u) = u**2 + 1. Let s be 12/(-66) + (-108)/11. Let r(f) = -f**3 + 5*f**2 + f + 5. Let m(z) = j*r(z) + s*w(z). Factor m(y).
-2*y*(y - 1)*(y + 1)
Let v = -716 + 2060/3. Let a = 30 + v. Find f, given that 3*f + 5/3*f**3 + 4*f**2 + a = 0.
-1, -2/5
Let n(m) = -3*m**2 + 4*m + 8. Let a(v) = -2*v**2 + 4*v + 7. Let p(x) = 4*a(x) - 3*n(x). Factor p(z).
(z + 2)**2
Factor 2/7*b**3 - 2/7*b**2 + 0 + 0*b.
2*b**2*(b - 1)/7
Let h(q) be the first derivative of -1/6*q**4 + 0*q**2 + 2/3*q**3 - 8/3*q - 1. Factor h(z).
-2*(z - 2)**2*(z + 1)/3
Let t(k) be the first derivative of -2 + 0*k + 0*k**3 - 25/27*k**6 - 2/9*k**4 - 8/9*k**5 + 0*k**2. Factor t(y).
-2*y**3*(5*y + 2)**2/9
Suppose -5*m - 25 = -5*x, -5*x + 3*x = -m - 7. Determine t, given that -2*t + 3*t**2 - t**x - 4*t**2 = 0.
-1, 0
Let c(r) be the second derivative of -r**8/560 - 3*r**7/280 - r**6/40 - r**5/40 + r**3 - 5*r. Let y(h) be the second derivative of c(h). Factor y(s).
-3*s*(s + 1)**3
Suppose -10 = -l - 7. Let m(p) be the second derivative of 1/10*p**5 + 1/3*p**4 + 2*p + 0*p**2 + 0 + 1/3*p**l. Solve m(w) = 0.
-1, 0
Let r(i) = i**2 - 1. Let j(b) = 6*b**2 - 18. Let t(y) = -j(y) + 2*r(y). Factor t(k).
-4*(k - 2)*(k + 2)
Let y(b) = 4*b**2 + 14*b + 32. Let x(j) = j**2 - j. Let w(l) = -2*x(l) + y(l). Suppose w(t) = 0. Calculate t.
-4
Let h(d) = -8*d**5 - 8*d**4 + 8*d**3 - 4*d**2 + 6*d - 6. Let i(o) = -7*o**5 - 7*o**4 + 7*o**3 - 3*o**2 + 5*o - 5. Let v(s) = 5*h(s) - 6*i(s). Factor v(y).
2*y**2*(y - 1)*(y + 1)**2
Let q(m) = -m**2 - m + 5. Let c be q(0). Factor 1/5 + t**4 + t + 2*t**2 + 1/5*t**c + 2*t**3.
(t + 1)**5/5
Let t(m) = 12*m**3 - 5*m**2 + 8*m. Let j(q) = q**3 + q**2 + q. Let b(w) = -20*j(w) + 4*t(w). Suppose b(k) = 0. Calculate k.
0, 3/7, 1
Let u = 4 + -9. Let m(d) = -4*d**4 + 6*d**3 + d**2. Let w(t) = -7*t**4 + 11*t**3 + t**2. Let n(y) = u*m(y) + 3*w(y). Factor n(v).
-v**2*(v - 2)*(v - 1)
Let s be 1 - -1*(-12)/(-4). Determine y, given that 1 + 3*y**s - 1 + 6*y**3 - 3*y**2 + 6*y**2 = 0.
-1, 0
Let y(m) be the second derivative of 3*m**6/20 + m**5/15 - 3*m**4/4 - 2*m**3/3 + 2*m**2 - 2*m. Let p(d) be the first derivative of y(d). Factor p(c).
2*(c - 1)*(c + 1)*(9*c + 2)
Let o = -79/5 - -973/60. Let x(y) be the second derivative