4 + 0*w = 0. Calculate w.
-1, -1/2, 0
Suppose -11*r - 92*r**2 + 45*r**2 + 2*r + 6 + 50*r**2 = 0. Calculate r.
1, 2
Let v(o) = 4 - 5 - 7*o - o**2 + 7*o**3 + 5. Let z(u) = -8*u**3 + 2*u**2 + 8*u - 4. Let k(s) = 2*v(s) + 3*z(s). Factor k(j).
-2*(j - 1)*(j + 1)*(5*j - 2)
Let i(g) be the first derivative of -2*g**5/5 - 7*g**4/2 - 4*g**3 - 31. Factor i(b).
-2*b**2*(b + 1)*(b + 6)
Let j be (1 + 0)/((-1)/5). Let v be (j/((-5)/6))/2. Factor v*a + 0*a**2 + a**2 - 2*a.
a*(a + 1)
Let c = -291 - -1751/6. Let f(u) be the second derivative of 1/4*u**5 + 0 + u**2 + 2/7*u**7 - 2*u - 5/6*u**3 + c*u**6 - 5/4*u**4. Factor f(b).
(b + 1)**3*(3*b - 2)*(4*b - 1)
Let o(p) be the second derivative of 1/30*p**5 + 0*p**2 - 2*p - 1/63*p**7 - 1/18*p**4 + 0*p**3 + 0 + 1/45*p**6. Determine z, given that o(z) = 0.
-1, 0, 1
Let q(f) be the second derivative of -3*f**7/4 + 11*f**6/10 + 3*f**5/40 - f**4/4 + 3*f. Solve q(x) = 0.
-2/7, 0, 1/3, 1
Find z such that -1/5*z**3 - 1/5*z + 2/5*z**2 + 0 = 0.
0, 1
Let k(i) be the third derivative of 0 + 1/12*i**4 + 0*i - 1/15*i**5 - 2*i**2 + 2/3*i**3 - 1/60*i**6. Factor k(u).
-2*(u - 1)*(u + 1)*(u + 2)
Let u be (12/8)/((-3)/(-4)). Find q, given that -u*q**5 + q**5 + 10*q**2 - 4*q**3 - q**3 + 6*q**4 - 7*q**3 - 3*q = 0.
0, 1, 3
Let v(h) be the first derivative of h**4/6 - 2*h**3/3 + 2*h**2/3 - 17. Solve v(f) = 0.
0, 1, 2
Suppose 4*b - 28 + 8 = 0. Factor k**3 + 4*k**3 + b*k - 2*k**3 + 6 + 10*k + 12*k**2.
3*(k + 1)**2*(k + 2)
Let z(j) be the third derivative of j**8/112 - j**7/14 + 9*j**6/40 - 7*j**5/20 + j**4/4 + 22*j**2. Factor z(d).
3*d*(d - 2)*(d - 1)**3
Suppose 0 = -5*n - 39 + 49. Let z(f) be the first derivative of 3 + 0*f + 1/2*f**n - 1/4*f**4 + 1/3*f**3 - 1/5*f**5. Determine l, given that z(l) = 0.
-1, 0, 1
Suppose -3*o - 1 + 7 = 0. Determine c, given that -3*c**o + 5*c**2 - 3*c**5 + 2*c - 18*c**3 + 22*c**4 - 5*c**5 = 0.
-1/4, 0, 1
Suppose -56*n = -49*n - 14. Find b such that -2/11*b**n + 2/11 + 0*b = 0.
-1, 1
Let k be -4*((-3)/(-4))/(10/(-4)). Let -4/5 - 14/5*j**3 - k*j + 24/5*j**2 = 0. What is j?
-2/7, 1
Let h(s) be the second derivative of -s**6/45 - s**5/15 + s**4/18 + 2*s**3/9 + 8*s. Let h(w) = 0. What is w?
-2, -1, 0, 1
Let z be 3 + (-1)/1 + 1. Find x, given that -21*x**z + 21*x + 6 + x**4 + 5*x**2 + 2*x**2 + 2*x**2 - 16*x**4 = 0.
-1, -2/5, 1
Let a(d) be the third derivative of d**8/224 - d**7/70 - d**6/40 + d**5/5 - 7*d**4/16 + d**3/2 - 10*d**2. Factor a(x).
3*(x - 1)**4*(x + 2)/2
Let y(w) = -2*w - 3. Let k be y(-3). Suppose 4*u + 2*u**2 - 10*u**3 - 5*u + 9*u**k = 0. Calculate u.
0, 1
Let b = -1 + 1. Suppose 16 = m + 12. Determine j so that -6*j + 31*j**m - 4*j**2 + b*j + 80*j**4 + 36*j**3 - 17*j**2 + 60*j**5 = 0.
-1, -1/4, 0, 2/5
Factor i**4 + 8*i**4 - 6*i**4 + i**4 + 4*i**3 - 8*i**2.
4*i**2*(i - 1)*(i + 2)
Let q = 78 - 309/4. Factor 1/2*y + q - 1/4*y**2.
-(y - 3)*(y + 1)/4
Let x be 1/2*46 - -1. Let b be 6/(-4)*x/(-18). Factor 2/9 - 4/9*z + 2/9*z**b.
2*(z - 1)**2/9
Let c = -471 - -4243/9. Let i(q) be the second derivative of -c*q**2 - 1/54*q**4 - 4/27*q**3 + 0 - q. Solve i(t) = 0 for t.
-2
Let p(f) be the second derivative of -f**4/3 - 4*f**3/3 - 16*f. Determine j so that p(j) = 0.
-2, 0
Let o(c) = -c**2 - 8*c - 4. Let p be o(-7). Factor -2*q**2 + 2*q + 7*q**2 + 2*q**p - q**2.
2*q*(q + 1)**2
Solve 24/5*u**3 + 0 + 6/5*u + 2/5*u**5 + 12/5*u**4 + 4*u**2 = 0.
-3, -1, 0
Factor -2/7*p**2 + 2/7*p + 12/7.
-2*(p - 3)*(p + 2)/7
Find g, given that -16*g**3 + 5*g**4 - 10 - 1 - 1 - g**4 + 8*g**2 + 16*g = 0.
-1, 1, 3
Let f be 182/10 + (-36)/(-270). Let z = f - 18. What is x in z*x**3 - x**2 + x - 1/3 = 0?
1
Let w = 84/235 - -2/47. Factor -8/5*l**4 - 6*l**2 - 14/5*l - 26/5*l**3 - w.
-2*(l + 1)**3*(4*l + 1)/5
Determine k, given that -k**4 - 12*k**3 + 133*k**2 + 6*k**5 - 3*k**5 - 129*k**2 = 0.
-2, 0, 1/3, 2
Suppose -14*q - 47 + 67*q - 17 - 5*q - 12*q**2 + q**3 = 0. Calculate q.
4
Let i = 2495/238 + 2/119. Solve 1 + i*f**2 - 11/2*f + 5/2*f**4 - 17/2*f**3 = 0 for f.
2/5, 1
Let u(x) = x**3 - x**2 - 1. Let h(m) = -241*m**3 - 179*m**2 + 65*m - 9. Let k(c) = -h(c) + 4*u(c). Factor k(a).
5*(a + 1)*(7*a - 1)**2
Let r(u) = -3*u**5 - 2*u**4 - 6*u**3 + 3*u. Let z(p) = p**5 - p**4 + p**3 + p**2 + p + 1. Let l(d) = -r(d) - 2*z(d). Determine m so that l(m) = 0.
-2, -1, 1
Let n(j) = j**2 - 12*j - 27. Let o(f) = -3*f**2 + 25*f + 55. Let c(t) = 5*n(t) + 2*o(t). Solve c(u) = 0 for u.
-5
Factor 4 + 13 - 8*s**3 - 16 + 8*s - 6*s**2 + 7 - 2*s**4.
-2*(s - 1)*(s + 1)*(s + 2)**2
Let g be 4 + 4/8*2. Let 2*q**3 + 2*q - 2*q**2 + 11*q**5 - 12*q**g + 1 - 3*q + q**4 = 0. Calculate q.
-1, 1
Let r(u) be the first derivative of u**3/7 + 3*u**2/14 - 18. Factor r(g).
3*g*(g + 1)/7
Factor 3*m + 43*m**2 - 3 - 21*m**2 - 19*m**2 - 3*m**3.
-3*(m - 1)**2*(m + 1)
Let p be 1/(-4) - 637/(-2520). Let w(z) be the third derivative of 0*z + 0 - 1/18*z**3 - p*z**6 - 2*z**2 + 1/180*z**5 + 1/72*z**4. Factor w(x).
-(x - 1)**2*(x + 1)/3
Let i(v) be the third derivative of 9*v**8/448 + 3*v**7/70 - v**6/80 - v**5/20 + v**4/32 - 76*v**2. Suppose i(k) = 0. What is k?
-1, 0, 1/3
Let z(x) = -x**3 - x**2 + x. Let s(p) = -7*p**3 - 9*p**2 + 3*p. Let f(d) = -2*s(d) + 10*z(d). Factor f(y).
4*y*(y + 1)**2
Suppose -5*j = -3*l, -8*j + 5*j = 0. Let -1/6*k**4 + l*k**3 + 0 + 0*k**2 - 1/6*k**5 + 0*k = 0. What is k?
-1, 0
Let f(n) be the first derivative of 2*n**3/15 - 2*n**2/5 + 54. Let f(x) = 0. Calculate x.
0, 2
Let w(h) be the third derivative of 0*h + 0 + 0*h**3 + 1/32*h**4 - h**2 + 1/240*h**5. Factor w(m).
m*(m + 3)/4
Let u(p) be the second derivative of -p**6/6 + p**5 - 25*p**4/12 + 5*p**3/3 - 8*p. Factor u(l).
-5*l*(l - 2)*(l - 1)**2
Let z(f) be the first derivative of -f**4/6 - 2*f**3/9 - 5. What is g in z(g) = 0?
-1, 0
Suppose g - 21 = -p - 3*p, -6 = -2*p. Factor -u**2 + 8*u**5 + 0*u**3 + u**3 + u**4 - g*u**5.
-u**2*(u - 1)**2*(u + 1)
Let g(i) be the second derivative of -8*i - 1/6*i**3 - 1/12*i**4 + 0 + i**2. Suppose g(o) = 0. Calculate o.
-2, 1
Let m(b) be the third derivative of 4*b**2 - 1/12*b**4 + 0*b**7 + 0*b**5 + 0*b**3 + 0 + 0*b + 1/30*b**6 - 1/168*b**8. Factor m(r).
-2*r*(r - 1)**2*(r + 1)**2
Suppose -5*n + 4*o = 0, 0 = -n + 4*n + 2*o + 22. Let r be 2/4 + (-6)/n. Factor 5*v - 5 + 3*v - 3 - 2*v**r.
-2*(v - 2)**2
Let z be 12/14*14/3. Let i(s) be the second derivative of 2*s + 0 - 1/12*s**z + 1/12*s**3 + 0*s**2 + 1/40*s**5. Factor i(m).
m*(m - 1)**2/2
Let m(x) be the second derivative of -x**4/24 - x**3/6 - 10*x. Let m(b) = 0. Calculate b.
-2, 0
Let r(s) be the third derivative of s**8/24 + 3*s**7/35 + s**6/30 - 8*s**2. Let r(j) = 0. Calculate j.
-1, -2/7, 0
Let 5*n**3 - 5*n**2 - 16*n + 5*n**4 - 10 - 5*n**2 - 9*n - 5*n**2 = 0. What is n?
-1, 2
Let y(u) = -u**3 + 9*u**2 - 10*u + 7. Let g be y(8). Let t be (-1)/9 + (-1)/g. Factor 2/9*r**4 + t*r + 0*r**3 - 2/9*r**2 + 0.
2*r**2*(r - 1)*(r + 1)/9
Let p(y) be the first derivative of 4*y + 1/3*y**3 - 2*y**2 - 2. Determine r, given that p(r) = 0.
2
Factor -6*s**4 + s**2 - 9 + 9 - 13*s**2 - s**5 - 13*s**3 - 4*s.
-s*(s + 1)**2*(s + 2)**2
Let k(h) be the second derivative of -5*h**7/14 + 4*h**6/3 - h**5/4 - 10*h**4/3 + 10*h**3/3 + 13*h. Let k(s) = 0. Calculate s.
-1, 0, 2/3, 1, 2
Let k(j) = 3*j - 21. Let t be k(9). Let l(d) be the first derivative of 0*d**3 + 0*d**2 + 0*d - 1 + 0*d**5 + 1/21*d**t + 0*d**4. Solve l(b) = 0.
0
Let t(f) = -14*f**4 - 18*f**3 + 8*f**2 + 32*f. Let r(p) = 9*p**4 + 12*p**3 - 5*p**2 - 21*p. Let i(k) = -8*r(k) - 5*t(k). Factor i(o).
-2*o*(o - 1)*(o + 2)**2
Let g be (-4)/(4*1/2). Let q be -8*g/(-4)*-1. Factor 4/7*a**2 + 0*a + 10/7*a**q - 2*a**3 + 0.
2*a**2*(a - 1)*(5*a - 2)/7
Factor k**3 + 3*k**3 - 6*k - 2*k**2 - k**5 + 6*k**2 + 2 - 6*k**4 + 3*k**5.
2*(k - 1)**4*(k + 1)
Factor 36/7*o + 36/7 - 4/7*o**2 - 4/7*o**3.
-4*(o - 3)*(o + 1)*(o + 3)/7
Find s such that -50/11*s**2 + 4/11*s**3 + 2*s + 24/11 = 0.
-1/2, 1, 12
Suppose -30 = -3*u - 5*j + 10, -3*u + 5*j + 20 = 0. Suppose 3*n = -4 + u. Factor -2/5*i**3 + 2/5*i + 0 + 0*i**n.
-2*i*(i - 1)*(i + 1)/5
Let o = 12 + 2. Let u = 16 - o. Factor 0*j - 1/2*j**u + 0.
-j**2/2
Let j be ((-6)/(-5))/(2/5). Factor -2*n**2 + n**3 - n**2 + 3*n**4 - n**j.
3*n**2*(n - 1)*(n + 1)
Let k = 5149/2016 - -5/288. Let 10/7*m**3 + 2*m - 4/7 - k*m**2 - 2/7*m**4 = 0. What is m?
1, 2
Let g(k) = -15*k**2 - 9*k - 12. Let 