*z**4 - 190*z**3 - 53*z - 160*z**2.
-5*(z + 1)**4*(5*z + 2)
Let u = 9/2 - 4. Let n(x) be the first derivative of u*x**2 - 1 - 11/6*x**3 - 7/10*x**5 + 2*x**4 + 0*x. Solve n(s) = 0 for s.
0, 2/7, 1
Let h(a) be the first derivative of 7*a**6/12 + 6*a**5/5 - a**4/2 - 11. Factor h(u).
u**3*(u + 2)*(7*u - 2)/2
Let d(x) be the first derivative of -x**4/4 - x**3/3 + x**2 + 5. Factor d(m).
-m*(m - 1)*(m + 2)
Solve -2/11*b + 3/11 - 1/11*b**2 = 0 for b.
-3, 1
Let t(c) be the second derivative of c - 1/4*c**4 + c**2 - 1/6*c**3 + 0. Determine s, given that t(s) = 0.
-1, 2/3
Let f(y) be the second derivative of y**7/294 - y**6/42 + 2*y**5/35 - y**4/21 - 19*y. Factor f(d).
d**2*(d - 2)**2*(d - 1)/7
Let r = -264 + 1065/4. Let g(p) = p**3 - 7*p**2 + 5*p + 6. Let k be g(6). Find a such that -9/4*a**4 + r*a**2 - 7/4*a**5 + k + 1/2*a + 5/4*a**3 = 0.
-1, -2/7, 0, 1
Factor 0*a - a + 2*a + 7*a**3 - 8*a**3.
-a*(a - 1)*(a + 1)
Let x(f) be the third derivative of f**8/3360 + f**7/1260 + f**5/15 + 6*f**2. Let r(s) be the third derivative of x(s). Determine u, given that r(u) = 0.
-2/3, 0
Let s(i) be the second derivative of 1/24*i**4 - 1/2*i**2 + 8*i - 1/12*i**3 + 0. Determine l, given that s(l) = 0.
-1, 2
Let p = -226/21 - -2249/168. Let w = -97/40 + p. Let -4/5*u**2 + w*u + 0 = 0. Calculate u.
0, 1/4
Factor 6/11*c - 2/11*c**3 + 0*c**2 + 4/11.
-2*(c - 2)*(c + 1)**2/11
Let r(c) = -c**3 - 3*c**2 + 6*c + 3. Let d be r(-4). Let j = d + 29. Suppose 0*n + j*n**3 - 3 + 21*n**4 + 6*n**5 - 6*n + 0 + 6*n**2 = 0. Calculate n.
-1, 1/2
Let b(k) be the second derivative of -k**4/15 + 2*k**3/5 + 8*k**2/5 + 27*k. Factor b(n).
-4*(n - 4)*(n + 1)/5
Suppose -r = -3*j + 10, -j = 2*r + 3*r - 14. Suppose 1/4 + 1/2*s + 1/4*s**r = 0. Calculate s.
-1
Let l = 733 + -731. Determine z so that 0*z - 1/3 + 1/3*z**l = 0.
-1, 1
Let h(y) = 3*y**2 + 14*y - 8. Let o(c) = 8*c**3 - c**2 - c. Let n be o(-1). Let w(p) = -2*p**2 - 9*p + 5. Let m(k) = n*w(k) - 5*h(k). Let m(b) = 0. What is b?
-2, 0
Suppose -1 = 4*d - 9. Let m(s) be the second derivative of -2*s - 1/20*s**5 + 0 - 1/4*s**4 - 1/2*s**3 - 1/2*s**d. Factor m(l).
-(l + 1)**3
Factor 5*b**3 - 7*b**3 + 2*b**3 + 3*b**3 + 3*b**2.
3*b**2*(b + 1)
Let p(f) be the first derivative of 5*f**4/16 + 5*f**3/4 + 5*f**2/4 - 17. Factor p(m).
5*m*(m + 1)*(m + 2)/4
Let a(q) be the third derivative of q**5/510 + q**4/51 + 4*q**3/51 - q**2. Let a(p) = 0. What is p?
-2
Let r(z) be the second derivative of 0 + 0*z**2 - 3/40*z**5 - 4*z - 1/12*z**3 - 1/60*z**6 - 1/8*z**4. Factor r(q).
-q*(q + 1)**3/2
Factor -12/7*b - 4/7*b**3 + 12/7*b**2 + 4/7.
-4*(b - 1)**3/7
Suppose -3*i + 6 - 3 = 0. Let o(j) be the first derivative of 64/21*j**3 - i + 4/7*j - 5/21*j**6 - 19/7*j**4 - 13/7*j**2 + 44/35*j**5. Factor o(w).
-2*(w - 1)**4*(5*w - 2)/7
Let s be (2/7)/((-18)/(-252)). Factor -1/4*v - 1/4*v**s - 3/4*v**2 - 3/4*v**3 + 0.
-v*(v + 1)**3/4
Let u(f) = -f**4 + 8*f**3 - 6*f**2 - 8*f - 7. Suppose -7 = -4*t + 21. Let p(g) = -g**4 + 7*g**3 - 5*g**2 - 7*g - 6. Let k(z) = t*p(z) - 6*u(z). Factor k(y).
-y*(y - 1)**2*(y + 1)
Let p be (-1)/(-5) - 14/(-5). Let q(z) = z**2 - z - 2. Let b be q(p). Factor -32*l**5 + 5*l - 9*l**b - 39*l**4 - 2*l**3 + 12*l**2 - 7*l.
-2*l*(l + 1)**2*(4*l - 1)**2
Let x(v) = -8*v**5 - 6*v**3 + 7*v**2 - 7*v + 7. Let q(w) = -w**5 + w**4 - w**3 - w + 1. Let i(y) = 21*q(y) - 3*x(y). Factor i(c).
3*c**2*(c - 1)*(c + 1)*(c + 7)
Let r(d) be the first derivative of 5/3*d**3 + 2*d + 7/2*d**2 + 9. Factor r(i).
(i + 1)*(5*i + 2)
Let i(u) be the first derivative of 3 - 3/2*u**3 - 3/2*u**2 - 1/2*u. Solve i(f) = 0 for f.
-1/3
Let u(f) be the third derivative of -f**5/150 + f**4/15 + f**3/3 - 13*f**2. What is k in u(k) = 0?
-1, 5
Let c(q) be the third derivative of -q**9/504 - q**8/168 - q**7/210 + 5*q**3/6 + q**2. Let m(l) be the first derivative of c(l). Factor m(i).
-2*i**3*(i + 1)*(3*i + 2)
Determine s, given that 12/7 + 78/7*s - 54/7*s**5 - 120/7*s**4 - 24/7*s**3 + 108/7*s**2 = 0.
-1, -2/9, 1
Let q be 4 + (364/16)/(-7). Let c(k) be the second derivative of 0 - q*k**3 - 7/24*k**4 - 3*k - 1/2*k**2. Factor c(t).
-(t + 1)*(7*t + 2)/2
Let i be (5/(-15)*3)/((-2)/4). Let f = -32/5 + 106/15. Factor -2/3*a**i - 1/3 + a**4 - f*a**3 + a - 1/3*a**5.
-(a - 1)**4*(a + 1)/3
Let w(t) be the first derivative of -18*t + 3 - 2/3*t**3 + 6*t**2. Find d such that w(d) = 0.
3
Let z(l) = -6*l + 4. Let h(i) = i**2 - 19*i + 11. Let j(p) = 2*h(p) - 7*z(p). Determine m so that j(m) = 0.
-3, 1
Let k(r) be the first derivative of 5*r**4/26 + 2*r**3/3 + 4*r**2/13 - 8*r/13 + 4. Factor k(m).
2*(m + 1)*(m + 2)*(5*m - 2)/13
Factor 3*v**3 - 3*v**4 + 0*v**3 + 42*v**5 - 48*v**5.
-3*v**3*(v + 1)*(2*v - 1)
Let n be 30/(-12)*33*20/(-225). Find j, given that 70/3*j**2 + 2/3 - n*j - 50/3*j**3 = 0.
1/5, 1
Let o = -4849/9 - -539. Suppose o - 4/9*x + 2/9*x**2 = 0. Calculate x.
1
Let n be 38/6 + 3/(-9). Factor -4*u + u + n*u - 3*u**3.
-3*u*(u - 1)*(u + 1)
Suppose 7*b = 5*b - 4*w + 12, -3*b - 4*w + 12 = 0. Factor 1/4*a**4 + 1/4*a**3 + b - 1/4*a**2 - 1/4*a.
a*(a - 1)*(a + 1)**2/4
Let y = 139/2 + -71. Let c = y + 2. Determine o so that 3/2*o + 1/2*o**3 + 3/2*o**2 + c = 0.
-1
Let v(u) be the first derivative of 1/6*u**2 + 0*u + 1/12*u**4 + 2/9*u**3 + 4. Factor v(n).
n*(n + 1)**2/3
Let a = 58 - 55. Let m(r) be the second derivative of 1/18*r**a + 0 - 2*r + 1/36*r**4 - 1/60*r**5 - 1/6*r**2. Let m(s) = 0. Calculate s.
-1, 1
Let i(c) = c**3 + 6*c**2 + c + 5. Let u be i(-6). Let y be (4 - (-4)/u)/3. Determine z, given that 2*z**4 + 0*z**2 + 4/3*z**3 + y*z + 0 = 0.
-2/3, 0
Factor -26*w**4 + 28*w**4 + 0*w**3 - 6*w**3 + 6*w**2 - 2*w.
2*w*(w - 1)**3
Let w be (6/(-5))/((-1)/5). Let l = w + -4. Let 1 - 4 - 2*k**4 + 3 + 2*k**l = 0. What is k?
-1, 0, 1
Let q(g) = -g**3 + g**2 - g. Let o(r) = -r**4 + 2*r**3 + 2*r - 1. Let k(c) = 2*o(c) + 4*q(c). Let k(z) = 0. What is z?
-1, 1
Let k be -1 - -1*1/(-1). Let i = -2 - k. Suppose 4/5*h + i + 2/5*h**2 = 0. Calculate h.
-2, 0
Let r(x) = x**3 + 2*x**2 - 3*x + 3. Suppose 2*s + 18 = 3*z, s - 4*s - z - 5 = 0. Let a be r(s). Find n such that 0*n + 1 - n**2 + 2*n + 1 - 2*n**a - n**2 = 0.
-1, 1
Let z(r) = -2*r**3 - 12*r**2 - 8*r + 12. Let q(a) = a**2 + a - 1. Let g(m) = -10*q(m) - z(m). Let g(l) = 0. What is l?
-1, 1
Let x = 697/20 - 143/5. Let f = -12/137 + 4819/274. Solve 2*a + 0 - 11*a**2 + f*a**3 - x*a**4 = 0.
0, 2/5, 2
Let z(n) be the first derivative of n**6/120 - n**5/150 + n**2/2 - 2. Let u(g) be the second derivative of z(g). Solve u(k) = 0.
0, 2/5
Let b(u) be the first derivative of -u**6/50 - 3*u**5/50 - u**4/20 - 2*u - 5. Let c(j) be the first derivative of b(j). Factor c(z).
-3*z**2*(z + 1)**2/5
Suppose -2*c**3 - 5*c**2 - c**2 + 0*c**2 - 4*c + 0*c = 0. What is c?
-2, -1, 0
Suppose 8*w + 40 = 4*w. Let k(z) = z + 10. Let d be k(w). Factor -4/9*a**4 + 4/9*a**2 + 2/9*a**5 + d - 2/9*a + 0*a**3.
2*a*(a - 1)**3*(a + 1)/9
Suppose -2*n + 7*n = 15. Factor 6*t**2 - t**3 + t - n*t + 2*t**4 - 5*t**3.
2*t*(t - 1)**3
Suppose 7*d + 30 = 2*d. Let v be ((-28)/d)/((-2)/(-3)). Find x such that 12*x + 0 - 6 + 2 + v*x**2 = 0.
-2, 2/7
Suppose -4/3 + 8/3*z - z**2 = 0. What is z?
2/3, 2
Let a be ((-2)/(-4))/((-1)/(-24)). Let o be a/(-28)*8/(-6). Factor 2/7*v**3 + o*v**2 + 0 + 2/7*v.
2*v*(v + 1)**2/7
Let p(j) be the third derivative of j**8/26880 - j**6/960 - 7*j**5/60 - 3*j**2. Let k(q) be the third derivative of p(q). Solve k(f) = 0.
-1, 1
Factor 0 - 1/3*y**4 + 1/3*y - 1/3*y**3 + 1/3*y**2.
-y*(y - 1)*(y + 1)**2/3
Let z be (34 + -34 + 1 + -1)*1. Determine u, given that -u - 2/3 + 1/3*u**3 + z*u**2 = 0.
-1, 2
Let i be (-8)/2*(-2)/(-2). Let h be (-2 - i) + 6/(-4). Solve -1/2*v**3 + 1/2*v**5 + h*v**2 + 0 + 0*v - 1/2*v**4 = 0.
-1, 0, 1
Let l(z) be the first derivative of z**5/30 + z**4/6 + z**3/3 + z**2/3 + z/6 - 6. Factor l(v).
(v + 1)**4/6
Let n(w) be the first derivative of -5*w**6/6 + 4*w**5 - 5*w**4/4 - 70*w**3/3 + 50*w**2 - 40*w - 6. Let n(a) = 0. Calculate a.
-2, 1, 2
Let h(k) be the first derivative of -k**6/2 + 6*k**5/5 + 9*k**4/4 - 4*k**3 - 6*k**2 - 5. Factor h(p).
-3*p*(p - 2)**2*(p + 1)**2
Let y = -2 + 5. Suppose -l + 0*s - s = -y, -3*l + 5*s = 15. Factor 64/9*v**2 + 98/9*v**4 + 8/9*v + 154/9*v**3 + l.
2*v*(v + 1)*(7*v + 2)**2/9
Let t(q) = q**2 - 5*q - 1. Let n be t(-10). Solve -3*h**4 + n*h**3 + h**4 - 153*h