 Let k = 26 - 25. Let f(m) = 243*m**5 + 84*m**4 - 165*m**3 - 123*m**2 - 30*m. Let v(u) = k*f(u) + 3*c(u). Factor v(o).
3*(o - 1)*(3*o + 1)**4
Let v = 18 + -10. Let f be (-1)/(-10)*60/v. Determine d so that -1/4 - 1/4*d**3 - 3/4*d - f*d**2 = 0.
-1
What is z in 3*z + 9 - 9*z**2 - 6*z + 0 + 3*z**3 = 0?
-1, 1, 3
Let m(s) be the first derivative of -3*s**5/5 + 3*s**3 + 3*s**2 - 7. Factor m(l).
-3*l*(l - 2)*(l + 1)**2
Let j(a) be the first derivative of -a**8/10080 + a**7/5040 - a**3/3 - 2. Let x(s) be the third derivative of j(s). Factor x(i).
-i**3*(i - 1)/6
Factor -12*t + 2 - 25/2*t**3 + 45/2*t**2.
-(t - 1)*(5*t - 2)**2/2
Let o = 52 - 52. Let -1/5*v**2 + 1/5*v**4 + 0 + o*v + 0*v**3 = 0. Calculate v.
-1, 0, 1
Let g(k) = -2*k + 18. Let h be g(9). Let c(w) be the second derivative of w - w**3 - 1/6*w**4 + h - 2*w**2. Determine i, given that c(i) = 0.
-2, -1
Let y = 49/9 - 244/45. Let f(b) be the third derivative of 0*b + 0 - 2/9*b**3 - 3*b**2 - 1/36*b**4 + 1/180*b**6 + y*b**5. Factor f(w).
2*(w - 1)*(w + 1)*(w + 2)/3
Let v(h) = 5*h**4 - 4*h**3 - h**2 + 4*h - 4. Let z(c) = -5*c**4 + 3*c**3 + 2*c**2 - 3*c + 3. Let j(t) = -3*v(t) - 4*z(t). Let j(s) = 0. What is s?
-1, 0, 1
Let g(t) = t**3 - 11*t**2 + t - 6. Let w be g(11). Suppose 6*i - 2*i = 4*y - 24, -16 = 2*y + w*i. Factor -2*h**2 + 2*h**3 - 6*h**2 + 6*h + y*h.
2*h*(h - 2)**2
Let r(x) be the first derivative of -8/27*x**3 + 4/9*x - 7/9*x**2 + 6. Factor r(n).
-2*(n + 2)*(4*n - 1)/9
Let f(a) be the second derivative of -1/2*a**3 - 1/10*a**6 - 5*a + 1/42*a**7 + 0 + 1/10*a**5 + 1/2*a**2 + 1/6*a**4. Factor f(x).
(x - 1)**4*(x + 1)
Let w(d) be the second derivative of 1/3*d**3 - 1/10*d**5 + 0 + 0*d**2 + 1/6*d**4 - 1/15*d**6 - 2*d. Factor w(z).
-2*z*(z - 1)*(z + 1)**2
Let n = -255 - -767/3. Factor n*k**2 + 2/3*k - 7/6*k**3 + 0 + 1/3*k**4.
k*(k - 2)**2*(2*k + 1)/6
Factor -21*l - 2 + 6 + 169*l**2 - 31*l.
(13*l - 2)**2
Let c(u) be the third derivative of 1/420*u**7 - 3*u**2 - 1/48*u**4 + 1/240*u**6 + 0*u + 0*u**3 + 0 - 1/120*u**5. Factor c(l).
l*(l - 1)*(l + 1)**2/2
Let o be (-26)/(-12) + (-6)/(-18). Let z = -2 + o. Solve -a**4 + 0*a**3 - 1/2*a**5 + 0 + z*a + a**2 = 0.
-1, 0, 1
Let i(x) be the second derivative of x**7/105 + x**6/60 + 5*x**2/2 - 4*x. Let v(l) be the first derivative of i(l). Find o, given that v(o) = 0.
-1, 0
Let w(t) = t**3 - 15*t**2 + 15*t + 25. Let q(c) = -c**3 + 14*c**2 - 15*c - 25. Let n(z) = -6*q(z) - 5*w(z). Factor n(i).
(i - 5)**2*(i + 1)
Suppose -770*a + 777*a - 35 = 0. Solve 0 + 0*y + 2/3*y**3 - y**4 + 1/3*y**a + 0*y**2 = 0.
0, 1, 2
Let v(t) = -t**3 - t**2 + 2*t + 1. Let z(s) = -5*s**3 + s**2 + 6*s + 3. Let u(r) = -6*v(r) + 2*z(r). Let u(a) = 0. Calculate a.
0, 2
Let p(c) be the second derivative of c**7/42 + c**6/20 - c**5/20 + 8*c. Find k such that p(k) = 0.
-2, 0, 1/2
What is r in 2/3*r**3 + 4/3*r**4 + 0 - 4/3*r**2 - 2/3*r = 0?
-1, -1/2, 0, 1
Let j(r) be the first derivative of 0*r**3 - 2*r - 2 - 1/90*r**5 + 0*r**2 - 1/54*r**4. Let m(f) be the first derivative of j(f). Factor m(s).
-2*s**2*(s + 1)/9
Let i(c) be the first derivative of -2*c**3/15 - 2*c**2 - 10*c + 3. Factor i(o).
-2*(o + 5)**2/5
Let v(a) be the first derivative of 19*a**5/5 + 13*a**4/4 - 5*a**2/2 - 5*a - 6. Let r(h) = 10*h**4 + 6*h**3 - 2*h - 2. Let f(p) = 5*r(p) - 2*v(p). Factor f(u).
4*u**3*(3*u + 1)
Let u = 216 + -89. Factor -4*c**3 - 8 - 4*c**2 + 125*c**4 + 10*c**2 + 8*c - u*c**4.
-2*(c - 1)**2*(c + 2)**2
Let p(k) = -24*k - 1. Let c be p(-4). Let w = 667/7 - c. Suppose w*i + 0 + 2/7*i**3 - 4/7*i**2 = 0. Calculate i.
0, 1
Let d be 0 + 0 - -3 - (-3 - -1). Let o(t) be the first derivative of 0*t**4 - 2 + 0*t - 4/35*t**d + 1/21*t**6 + 4/21*t**3 - 1/7*t**2. Find k such that o(k) = 0.
-1, 0, 1
Let j(d) be the second derivative of -d**5/20 + d**3/6 + 22*d. Find o, given that j(o) = 0.
-1, 0, 1
Let n(j) be the third derivative of -3/5*j**3 - j**2 - 1/150*j**5 + 0*j + 0 - 1/10*j**4. Let n(s) = 0. Calculate s.
-3
Let y = 18/13 - 2/39. What is f in -2/3*f**4 + 0*f**2 + 2/3 + y*f - 4/3*f**3 = 0?
-1, 1
Let l(j) be the second derivative of 7*j**5/20 - 9*j**4/8 + j**3 + 3*j**2 - 5*j. Let k(z) be the first derivative of l(z). Find v, given that k(v) = 0.
2/7, 1
Let n be (-1)/12*(-27)/(-24). Let c = n - -11/32. Factor 0*h + c*h**3 + 0 - 1/4*h**2.
h**2*(h - 1)/4
Let i(b) be the first derivative of 1/4*b + 1/4*b**2 + 0*b**3 - 1/20*b**5 - 2 - 1/8*b**4. Factor i(r).
-(r - 1)*(r + 1)**3/4
Let g(v) be the second derivative of 1/60*v**4 + 5*v - 1/30*v**3 + 0*v**2 + 0. Factor g(a).
a*(a - 1)/5
Solve 2 + 0*b - 1/2*b**2 = 0 for b.
-2, 2
Let t(a) be the third derivative of -a**6/280 - a**5/140 + a**4/56 + a**3/14 - 2*a**2. Find f, given that t(f) = 0.
-1, 1
Let f(i) be the first derivative of -i**6/21 - 2*i**5/35 + i**4/14 + 2*i**3/21 + 4. Solve f(p) = 0 for p.
-1, 0, 1
Let m be 5 + 0/(2 - -1). Suppose -x + 14 = 4*b, -m*x - 30 = -b - 4*b. Factor 4*h**2 - 2*h**2 - b*h**2.
-2*h**2
Factor -14/5*f**2 - 6/5 - 4*f.
-2*(f + 1)*(7*f + 3)/5
Let k(u) = -96*u**3 + 10*u**2 + 14*u + 6. Let x(w) = -4*w**2 + 8*w - 15*w**2 - 13 + 193*w**3 - 23*w - 14*w. Let v(h) = -13*k(h) - 6*x(h). Factor v(f).
2*f*(5*f - 2)*(9*f + 2)
Let r(u) be the first derivative of 2*u**3/27 - 7*u**2/9 - 4*u - 31. Factor r(c).
2*(c - 9)*(c + 2)/9
Determine b so that -2/3 - 40/3*b**2 - 16/3*b**3 - 17/3*b = 0.
-2, -1/4
Let t(k) = -k**2 + k + 2. Let g be t(0). Find q such that -2*q**3 + 3*q**g - 7*q**2 + 2*q**2 = 0.
-1, 0
Let d(g) = g**3 + 13*g**2 - g + 15. Let m be d(-13). Let i = -28 + m. Factor i + 0*f - 2/7*f**2.
-2*f**2/7
Solve 5 - 6 - 5*b - 1 - 8*b**3 - 4*b**2 + 6*b**4 + 13*b = 0 for b.
-1, 1/3, 1
Let x(l) be the first derivative of l**3/6 - l**2/4 - l + 2. Factor x(i).
(i - 2)*(i + 1)/2
Let x(c) be the third derivative of 0*c**4 - 1/336*c**8 - c**2 + 2/105*c**7 + 1/30*c**5 + 0*c**3 - 1/24*c**6 + 0*c + 0. Factor x(s).
-s**2*(s - 2)*(s - 1)**2
Let x(v) = 15*v**3 - 15*v**2 - 5*v - 5. Let h(l) = l**4 + 15*l**3 - 16*l**2 - 6*l - 6. Let d(y) = 5*h(y) - 6*x(y). Let d(f) = 0. What is f?
0, 1, 2
Suppose 4*n = x + 17, -5*n = 5*x - 18 + 3. Suppose -n*k + 4 = -8. Let -2/5*u**k - 6/5*u**2 + 2*u - 4/5 + 2/5*u**4 = 0. Calculate u.
-2, 1
Let j(z) be the first derivative of z**6/21 + 3*z**5/35 - z**4/28 - z**3/7 - z**2/14 - 11. What is u in j(u) = 0?
-1, -1/2, 0, 1
Let b(o) = o**3 - 61*o**2 - 69*o - 29. Let x(d) = 12*d**2 + 14*d + 6. Let p(z) = 4*b(z) + 22*x(z). Find f, given that p(f) = 0.
-2, -1
Find s, given that -40 - 14*s - 625*s**3 + 286*s**2 - 222*s - 1036*s**2 - 64*s = 0.
-2/5
Let n = -34 - -34. Factor 3*o**3 - 3/2*o**4 - 3*o + 3/2 + n*o**2.
-3*(o - 1)**3*(o + 1)/2
Let k(a) = -a**3 - 2*a**2 - 3*a - 1. Let b be k(-2). Suppose b*f - 3*l = 29, 5*l = f - 7 - 12. Factor -2/3*v**f + 0*v**3 + 0*v + 4/3*v**2 - 2/3.
-2*(v - 1)**2*(v + 1)**2/3
Let h(y) = -27*y**5 - 6*y**3 - 6*y**2 - 6*y. Let o(d) = d**5 - d**4 + d**3 + d**2 + d. Let u(n) = h(n) + 6*o(n). Suppose u(l) = 0. Calculate l.
-2/7, 0
Let n(w) = 3*w**2 + 7*w. Suppose 3 = -l - 4*o + 2, -8 = -4*l - 4*o. Let j(v) = 2*v**2 + 4*v. Let u(r) = l*n(r) - 5*j(r). Find g such that u(g) = 0.
0, 1
Let r(y) = 3*y**2 - y - 2. Let j(u) = 21*u**2 - 6*u - 15. Let o(n) = 4*j(n) - 27*r(n). Find d such that o(d) = 0.
-2, 1
Let n(b) = b**2 - 7*b + 7. Let y be n(6). Let j be (-2 + 3)/(1/2). Factor y - 1 + 2*v**3 + 6*v**4 + j*v**5 - 2*v**4.
2*v**3*(v + 1)**2
Let b(f) be the third derivative of 0*f + 0*f**3 + 2/105*f**7 - 2/15*f**6 + 1/3*f**5 + 7*f**2 + 0 - 1/3*f**4. Factor b(k).
4*k*(k - 2)*(k - 1)**2
Factor 6*k**2 + 9*k**3 - 4*k**2 + 56*k**4 - 49*k**4.
k**2*(k + 1)*(7*k + 2)
Let a(b) be the first derivative of b - 1. Let s(d) = 2*d**2 + 4*d + 4. Let n(g) = 2*a(g) - s(g). Factor n(f).
-2*(f + 1)**2
Let z be -2 - (30/18)/((-4)/6). Factor z + 5/4*k + 3/4*k**2.
(k + 1)*(3*k + 2)/4
Let l be 8/(-20) + 34/10. Factor 5*x**2 + 1 + 0*x**3 + 2*x**3 - 4*x - 4*x**l.
-(x - 1)**2*(2*x - 1)
Let w(q) be the second derivative of -q**6/35 - 27*q**5/140 - q**4/7 + 16*q. Solve w(k) = 0 for k.
-4, -1/2, 0
Let z(a) be the first derivative of a**6/1440 - a**5/480 + a**3 - 5. Let p(i) be the third derivative of z(i). Find s such that p(s) = 0.
0, 1
Let g be (-8)/120 + 10/25. Factor -1/3*r**2 + 1/3*r**3 - 1/3*r + g.
(r - 1)**2*(r + 1)/3
Let f(a) be the third derivative of -1/10*a*