- 165/18)*-4. Factor -8*z + 4*z**2 - s*z**3 + 16/3.
-2*(z - 2)**3/3
Factor 0*k - 2/11*k**4 - 4/11*k**3 + 0 + 16/11*k**2.
-2*k**2*(k - 2)*(k + 4)/11
Let s(l) = -l**3 + 6*l**2 - 4. Let y be s(6). Let k be 0 - y*2/3. Suppose -k - 8/3*p - 2/3*p**2 = 0. Calculate p.
-2
Let f(r) = 2*r**3 - 18*r**2 + 2*r + 18*r**2 - 1. Let i be f(1). Factor 2/9*n**4 + 0*n - 2/9*n**i + 0 + 0*n**2.
2*n**3*(n - 1)/9
Factor -2*f + 4 - 2*f**2 - 3 - 1.
-2*f*(f + 1)
Let h be (((-8)/(-11))/2)/(336/616). Factor 4*l**2 + 16/3 - 8*l - h*l**3.
-2*(l - 2)**3/3
Factor 4*n**4 + 2*n**3 + 2*n**5 + 2*n**3 - 5*n**4 + 7*n**4.
2*n**3*(n + 1)*(n + 2)
Let s be 2 + (1 - -2) + (-2 - 1). Find l such that -2/13*l**3 + 0 + 2/13*l - 2/13*l**4 + 2/13*l**s = 0.
-1, 0, 1
Solve 0*z + 8/7*z**4 + 0 + 2/7*z**5 + 10/7*z**3 + 4/7*z**2 = 0 for z.
-2, -1, 0
Let o(x) be the first derivative of -4*x**3/9 + 4*x/3 - 13. Determine m so that o(m) = 0.
-1, 1
Let p(u) be the first derivative of u**4/54 - u**3/9 + 2*u**2/9 + 4*u + 2. Let d(y) be the first derivative of p(y). Determine v, given that d(v) = 0.
1, 2
Let s = 522/7 - 74. Solve -s*y - 2/7*y**2 - 2/7 = 0.
-1
Let s = 201 + -198. Factor 1/4*a + 0 - 1/4*a**s + 0*a**2.
-a*(a - 1)*(a + 1)/4
Let l be (-2)/5*10/(-20). Factor -1/5*w**3 + 0 + 0*w**2 + l*w.
-w*(w - 1)*(w + 1)/5
Let m(h) be the first derivative of 0*h + 1/6*h**6 - 1/2*h**4 + 1/2*h**2 + 0*h**3 + 0*h**5 + 5. Factor m(y).
y*(y - 1)**2*(y + 1)**2
Suppose -8*a**2 + 15*a**3 + 3*a + 0*a - 19*a**3 - 7*a = 0. What is a?
-1, 0
Let w(r) be the first derivative of -r**4/54 + r**2/9 - 4*r - 4. Let i(k) be the first derivative of w(k). Factor i(f).
-2*(f - 1)*(f + 1)/9
Let x(j) = -11*j**5 - 5*j**4 - 8*j**2 + 8*j + 8. Let z(m) = -4*m**5 - 2*m**4 - 3*m**2 + 3*m + 3. Let k(n) = -3*x(n) + 8*z(n). Factor k(l).
l**4*(l - 1)
Suppose 0*x = -x + 2. Suppose 5*u - 4*p = -12, 13 = -2*u + 4*p + 1. Solve -3*a + x + 2*a - a**2 + u*a**2 = 0 for a.
-2, 1
Factor 5*r**2 - 6 + 0*r**2 + 5 - 4.
5*(r - 1)*(r + 1)
Let q = 380/1281 + -2/183. Solve 2/7*f**3 - 6/7*f**2 + 6/7*f - q = 0.
1
Let v(u) be the first derivative of 7*u**4/10 + 46*u**3/15 + 6*u**2/5 - 26. Factor v(t).
2*t*(t + 3)*(7*t + 2)/5
Let l = 1699 + -15289/9. Let 8/9 + l*j**2 + 8/9*j = 0. Calculate j.
-2
Suppose 0 = -n - 3*v + 3, 2*v + 4 = 6*v. Suppose -9*u + 8*u = n. Factor 1/2*l - 3/2*l**2 - 1/2*l**4 + u + 3/2*l**3.
-l*(l - 1)**3/2
Suppose 4*i - 12 = -4. Determine b, given that -2*b**i + 4/5*b + 0 = 0.
0, 2/5
Solve 3*l**3 + 3*l**3 + 0*l**3 - 2*l - 4*l**3 = 0 for l.
-1, 0, 1
Factor -39*y**3 + 12*y**3 - 71*y + 81*y**2 + 3*y**4 - 10*y.
3*y*(y - 3)**3
Let l(q) = -q**3 - 5*q**2 + 13*q - 7. Let n be l(-7). Let n - 9/2*u**3 - 3*u**4 + 0*u - 3/2*u**2 = 0. Calculate u.
-1, -1/2, 0
Suppose -10*f = -15*f. Let r(w) be the first derivative of 2/3*w**2 + 1 + f*w**3 + 2/15*w**5 - 1/3*w**4 - 2/3*w. Let r(u) = 0. Calculate u.
-1, 1
Suppose 4*c - 3*a = -0*c + 28, -4*c + a = -20. Let q be 2/(10/c - -3). Factor 0 - 6/11*w**2 + q*w + 2/11*w**3.
2*w*(w - 2)*(w - 1)/11
Let x = 4 - 2. Let y be (6 - 5)/(1/x). Determine g so that -g**2 - 3*g**4 - g**3 - g**3 + y*g**4 = 0.
-1, 0
Let t(k) be the third derivative of -k**8/336 + k**7/350 + 7*k**6/600 - k**5/100 - k**4/60 - 49*k**2. Find a, given that t(a) = 0.
-1, -2/5, 0, 1
Let j(c) = -10*c**2 + 27*c - 81. Let b(l) = -l**2 + l. Let q(h) = 36*b(h) - 4*j(h). Factor q(t).
4*(t - 9)**2
Suppose -5*p = -5, -4*p = 3*i - 2*p - 14. Suppose i*c = -4*c. Factor -4/3*k + c + 2/3*k**2.
2*k*(k - 2)/3
Let q(m) = -7*m**4 + 5*m**3 + 15*m**2 - 3*m - 12. Let a(p) = -8*p**4 + 5*p**3 + 15*p**2 - 2*p - 13. Let v(k) = 2*a(k) - 3*q(k). Factor v(f).
5*(f - 2)*(f - 1)*(f + 1)**2
Let y(t) be the first derivative of t**3/5 + 3*t**2/10 + 3. Solve y(q) = 0.
-1, 0
Let a(z) = 4*z**2 - 4. Let p be ((-4)/(-3))/((-2)/3). Let b(u) = u**3 + 3*u**2 - u - 3. Let k(t) = p*a(t) + 3*b(t). Factor k(v).
(v - 1)*(v + 1)*(3*v + 1)
Let v(b) be the third derivative of -b**5/20 - b**4/2 - 3*b**3/2 + 3*b**2. Factor v(i).
-3*(i + 1)*(i + 3)
Let h(o) = o**2. Let b(m) = -1. Let x(w) = -2. Let f(d) = b(d) - x(d). Suppose 2*z + 12 = 2*l, -z + l + 3*l - 21 = 0. Let q(u) = z*h(u) + f(u). Factor q(k).
-(k - 1)*(k + 1)
Solve -6*d**3 + 1 + 9*d - d**5 + 6*d**2 - 2*d**5 + 3 - 9*d**4 - 1 = 0 for d.
-1, 1
Suppose 2*a - 3*a = 0. Let y(h) = -2*h**3 - h. Let l be y(-1). Factor -1/5*u**l - 2/5*u**2 + a - 1/5*u.
-u*(u + 1)**2/5
Let i(q) be the second derivative of q**7/56 + q**6/20 + 7*q. Determine j, given that i(j) = 0.
-2, 0
Solve -132*r**2 - 3*r**4 - 2*r - r**5 + 131*r**2 - 3*r**3 + 2*r = 0 for r.
-1, 0
Let w(t) = -5*t**2 + 6*t + 5. Suppose 1 + 0 = -x. Let j(q) = 3*q + 2*q - 1 - 6*q + q**2. Let v(a) = x*w(a) - 3*j(a). Find c such that v(c) = 0.
-1/2, 2
Let z(j) be the third derivative of 0*j**4 + j**2 + 2/105*j**8 + 0*j**3 - 7/300*j**6 + 0*j - 8/525*j**7 + 0 - 1/150*j**5. Let z(o) = 0. What is o?
-1/4, 0, 1
Let f(r) be the first derivative of -1/2*r - 1/2*r**2 + 2 - 1/6*r**3. Factor f(h).
-(h + 1)**2/2
Let l(g) be the second derivative of g**6/240 - g**5/40 + g**4/16 + g**3/3 + 6*g. Let n(o) be the second derivative of l(o). Factor n(f).
3*(f - 1)**2/2
Let j(z) = -z**2 - 5*z + 3. Let c be j(-5). Let -p - p**2 + p**4 + p**c + 89 - 89 = 0. Calculate p.
-1, 0, 1
Solve -2/9*d**4 + 0*d + 2/9*d**2 + 0*d**3 + 0 = 0.
-1, 0, 1
Let s(k) = -3*k**5 - k**4 - 23*k**3 + 6*k**2 + 26*k + 6. Let z(y) = y**5 + 8*y**3 - 2*y**2 - 9*y - 2. Let d(t) = -4*s(t) - 11*z(t). Factor d(h).
(h - 1)*(h + 1)**3*(h + 2)
Let x(m) be the first derivative of -3/2*m**4 + 5 - 6*m**2 - 13/3*m**3 - 4*m - 1/5*m**5. Find v, given that x(v) = 0.
-2, -1
Let p be -5*(-3)/((-9)/(-3)). Suppose 3*z + 2 = 3*j - 4, -5*z + 4*j = p. Let -f + 2*f**3 + 2*f**z - f**3 - 2*f**3 = 0. Calculate f.
-1, 0, 1
Factor 2*k**3 - k**3 + 0*k**3 + 4*k**3.
5*k**3
Let b(t) = -7*t**3 + 3*t**2 - 8*t - 6. Let a be 60/(-35)*14/(-4). Let p(s) = -15*s**3 + 7*s**2 - 17*s - 13. Let k(n) = a*p(n) - 13*b(n). Factor k(c).
c*(c + 1)*(c + 2)
Let z(a) = 2. Let h(k) = 10*k**2 + 5*k - 10. Let c(w) = -h(w) - 5*z(w). Find g, given that c(g) = 0.
-1/2, 0
Let t(b) be the first derivative of -2*b**3 - 3/2*b**4 + 1/2*b**6 + 3*b + 1 + 3/5*b**5 + 3/2*b**2. Suppose t(n) = 0. What is n?
-1, 1
Let y = -408 - 1551. Let v = y + 13737/7. Find l, given that -8/7*l - v*l**2 + 24/7*l**4 + 0 - 10/7*l**3 + 18/7*l**5 = 0.
-1, -2/3, 0, 1
Let b(u) be the first derivative of u**5/10 + u**4/3 + u**3/3 - 7*u + 5. Let s(w) be the first derivative of b(w). Find d, given that s(d) = 0.
-1, 0
Let p(m) be the second derivative of 7*m**5/110 + 5*m**4/11 + 12*m**3/11 + 8*m**2/11 + 7*m. Factor p(c).
2*(c + 2)**2*(7*c + 2)/11
Let x be (10 - 258/24)*(-2)/3. Factor 0 - 1/2*j + x*j**2.
j*(j - 1)/2
Let z(b) = -b**4 + b**3. Let k(r) = 4*r - 4*r - r**2 - 3*r**4. Let h(q) = k(q) - 2*z(q). Factor h(p).
-p**2*(p + 1)**2
Let i(o) be the second derivative of -o**5/4 - 5*o**4/4 + 25*o**3/3 + 16*o. Suppose i(n) = 0. What is n?
-5, 0, 2
Let g(p) be the second derivative of -p**5/80 - p**4/24 + p**3/6 + p**2 + 4*p. Factor g(d).
-(d - 2)*(d + 2)**2/4
Let a(r) = -r - r + r + 0. Let j(f) = -f**2 + 8*f - 3*f + 2*f. Let l(t) = -6*a(t) - j(t). Factor l(v).
v*(v - 1)
Let i(j) be the second derivative of 0 + 1/3*j**4 - 2/3*j**3 + 0*j**2 - 4*j. Determine f so that i(f) = 0.
0, 1
Let -14/11*m**2 + 4/11 - 10/11*m = 0. Calculate m.
-1, 2/7
Let y(x) = x**4 + 5*x**3 - 17*x**2 + 17. Let p(w) = -2*w**3 + 6*w**2 - 6. Let k(h) = 17*p(h) + 6*y(h). Let k(t) = 0. Calculate t.
0, 2/3
Let s(v) = v**4 + v**3 + 5*v**2 - v + 2. Let o(p) = -4*p**4 - 3*p**3 - 21*p**2 + 5*p - 9. Let d(c) = 2*o(c) + 9*s(c). Factor d(w).
w*(w + 1)**3
Let t = -25 + 126/5. Let x(r) be the first derivative of 0*r + 0*r**2 - 2/25*r**5 + 3 - t*r**4 - 2/15*r**3. Determine f so that x(f) = 0.
-1, 0
Let i(z) be the third derivative of z**7/1260 - 13*z**6/1800 - z**5/50 + 5*z**4/24 + 3*z**2. Let v(n) be the second derivative of i(n). Solve v(c) = 0.
-2/5, 3
Let t(n) be the third derivative of n**9/75600 - n**8/8400 + n**7/2520 - n**6/1800 + 5*n**4/24 - 3*n**2. Let v(z) be the second derivative of t(z). Factor v(d).
d*(d - 2)*(d - 1)**2/5
Factor -81/5*m**3 + 39/5*m**2 - 21/5*m**5 - 6/5*m + 69/5*m**4 + 0.
-3*m*(m - 1)**3*(7*m - 2)/5
Let n(d) be the first derivative of -1/75*d**6 + 1/30*d**4 - 2 - 2*d + 0