. Factor 4/3*l**2 - k - 2*l.
2*(l - 2)*(2*l + 1)/3
Let m(x) be the first derivative of 3*x - x**3 - 3/2*x**2 - 25 + 3/4*x**4. Solve m(h) = 0 for h.
-1, 1
Let d(f) be the second derivative of 3*f**5/100 + 4*f**4/5 - 19*f**3/10 - 51*f**2/5 + 19*f - 3. Factor d(x).
3*(x - 2)*(x + 1)*(x + 17)/5
Let v(j) = -2*j + 4. Let c be (-1)/(-3) + (-30)/(-18). Let f(g) = c*g**2 - 2*g - 1 + 3*g - g**2 - 2*g. Let x(a) = -2*f(a) - v(a). Factor x(i).
-2*(i - 1)**2
What is m in 1/3*m**2 + 0*m - 3 = 0?
-3, 3
What is f in 7/9*f - 4/3 - 1/9*f**2 = 0?
3, 4
Let h(t) be the first derivative of -2*t**3/9 - 6*t**2 + 38*t/3 - 334. Factor h(d).
-2*(d - 1)*(d + 19)/3
Solve 4/3 - 2/9*z**4 - 10/9*z - 10/9*z**2 + 10/9*z**3 = 0.
-1, 1, 2, 3
Let x = 1760 - 1757. Let -3/2 - 3/4*u**5 + 3/2*u**2 + 3*u**x + 0*u**4 - 9/4*u = 0. Calculate u.
-1, 1, 2
Find a, given that 2/3*a**2 - 4/3 - 2*a**3 + 2/3*a**4 + 2*a = 0.
-1, 1, 2
Solve 15*v + 15*v**3 - 18*v**2 - 27*v**3 + 11*v**3 + 4*v**2 = 0.
-15, 0, 1
Let f(d) = d**2 + d - 1. Suppose 1 = 2*r - s - 0, -10 = -5*r + s. Let y(t) = -3*t**4 - 9*t**3 - 3*t**2 + 3*t - 3. Let h(z) = r*f(z) - y(z). Factor h(o).
3*o**2*(o + 1)*(o + 2)
Factor -1 + 1/8*i**3 - 3/4*i + 3/8*i**2.
(i - 2)*(i + 1)*(i + 4)/8
Suppose -28*i + 60 = -24*i. Let t = 46/3 - i. Determine g so that -g + 2/3 - 2/3*g**2 - t*g**5 + 0*g**4 + 4/3*g**3 = 0.
-2, -1, 1
Let p be (-300)/(-155) + 4/62. Factor -4/7*j + 2/7 + 2/7*j**p.
2*(j - 1)**2/7
Let o(s) be the second derivative of -s**5/4 - 35*s**4/12 - 5*s**3 + 108*s. Factor o(u).
-5*u*(u + 1)*(u + 6)
Let h(q) be the second derivative of -7*q**6/285 - 149*q**5/190 - 91*q**4/57 - 40*q**3/57 - 420*q. Solve h(g) = 0.
-20, -1, -2/7, 0
Suppose 0*s + 69/2*s**2 - 33/2*s**3 - 3/8*s**5 + 0 - 141/8*s**4 = 0. Calculate s.
-46, -2, 0, 1
Factor 1051*m**3 - 45*m**4 - 145*m**4 + 46*m**4 + 1512*m - 432 - 121*m**4 - 1899*m**2 + 25*m**5.
(m - 3)**3*(5*m - 4)**2
Let b(g) = -5*g**3 + 31*g**2 - 58*g + 30. Let p(s) = -21*s**3 + 126*s**2 - 231*s + 117. Let c(t) = 9*b(t) - 2*p(t). Factor c(v).
-3*(v - 6)*(v - 2)*(v - 1)
Let u(s) be the second derivative of -s**6/90 - 3*s**5/20 - s**4/6 + 8*s**3/9 - 244*s. Solve u(k) = 0.
-8, -2, 0, 1
Let n(a) be the third derivative of 15*a**2 + 2/105*a**7 + 0*a**6 + 1/3*a**4 + 0 - 1/5*a**5 + 0*a**3 + 0*a. Factor n(l).
4*l*(l - 1)**2*(l + 2)
Let p(q) be the third derivative of -q**6/120 + q**5/20 - q**4/12 - 9*q**2 + 2*q. Factor p(z).
-z*(z - 2)*(z - 1)
Let u(x) = x**3 - 4*x**2 - 2*x + 6. Let c be u(-3). Let i = -48 - c. Find d, given that 0*d - 9/2*d**4 + 0 - i*d**3 - 3/2*d**5 + 0*d**2 = 0.
-2, -1, 0
Let p(h) = 27*h**3 + 130*h**2 - 271*h + 128. Let c(w) = 4*w**3 - w**2 - 1. Let o(v) = -21*c(v) + 3*p(v). Solve o(s) = 0 for s.
1, 135
Let j be 6/20*(17856/81)/31. Suppose -2/15*l + 0 - j*l**3 + 16/15*l**2 = 0. What is l?
0, 1/4
Let a(h) be the first derivative of h**4/5 - 8*h**3/5 - 32*h**2/5 - 51. Factor a(g).
4*g*(g - 8)*(g + 2)/5
Let t(c) be the third derivative of c**8/112 - 11*c**7/70 + 7*c**6/40 + 31*c**5/20 - c**4 - 10*c**3 + 8*c**2 + 10. Determine u so that t(u) = 0.
-1, 1, 2, 10
Let j be -7 + 17 + -8 + 0. Factor -10/3*f**j - 16/3*f + 8/3.
-2*(f + 2)*(5*f - 2)/3
Find i such that -30*i + 24 - 11*i**3 - 16*i**3 - 323*i**2 + 206*i**2 = 0.
-4, -2/3, 1/3
Suppose -14 = 2*k + 26*q - 21*q, 5*k - 19 = q. Factor -4/5*c**4 + 0 + 0*c + 8/5*c**k + 0*c**2.
-4*c**3*(c - 2)/5
Let u = -14 + 20. Suppose -5*z + u = -4. Find s such that -1/4*s**3 - z*s + 5/4*s**2 + 1 = 0.
1, 2
Let h(x) be the second derivative of x**5/10 - 8*x**4/3 + 64*x**3/3 + 27*x - 3. Factor h(l).
2*l*(l - 8)**2
Let h(a) be the first derivative of a**3/12 - 5*a**2/8 - 3*a/2 + 154. Factor h(j).
(j - 6)*(j + 1)/4
Solve -254/5*y + 78*y**2 + 8/5*y**4 + 42/5 - 186/5*y**3 = 0.
1/4, 1, 21
Factor 24*d**4 - 128 - 10*d**3 + 49*d**2 + 192*d - 113*d**2 - 22*d**3 - 4*d**5.
-4*(d - 2)**4*(d + 2)
Determine v, given that -22*v - 23*v + 0*v**2 + 64 + 11*v + v**2 = 0.
2, 32
Suppose -1/2*s**2 + 3/4 - 1/8*s - 1/8*s**3 = 0. Calculate s.
-3, -2, 1
Suppose h - 11 = -4*i, -i - h = -5 + 6. Let l(c) = c**3 + 16*c**2 + c - 9. Let f(x) = -8*x**2 + 4. Let n(y) = i*l(y) + 9*f(y). Factor n(t).
4*t*(t - 1)**2
Find a, given that -142/9*a - 2/9*a**2 - 140/9 = 0.
-70, -1
Let m(x) = -2*x**3 + x**2 - 3. Let k(l) = -l**3 - 2. Let j(n) = -n**2 + 6*n + 1. Let b be j(8). Let t = -9 - b. Let f(d) = t*k(d) - 4*m(d). Factor f(c).
2*c**2*(c - 2)
Suppose -293478 + 40*b**2 + 43*b**4 - 8*b**4 + 293478 + 95*b**3 - 20*b = 0. What is b?
-2, -1, 0, 2/7
Let u(c) be the first derivative of c**4/12 - 126. Solve u(h) = 0 for h.
0
Let 75/4*r**2 + 25/2 - 5/4*r**3 - 5/4*r**4 - 115/4*r = 0. What is r?
-5, 1, 2
Let u(w) be the second derivative of -w**8/3360 + w**6/360 - w**4/48 - 14*w**3/3 + 6*w. Let y(f) be the second derivative of u(f). Find n, given that y(n) = 0.
-1, 1
Let p(z) be the first derivative of 6/11*z + 12 - 2/33*z**3 - 2/11*z**2. Factor p(x).
-2*(x - 1)*(x + 3)/11
Let a(w) = -6*w**2 + 535*w - 72885. Let b(k) = 7*k**2 - 534*k + 72882. Let y(d) = -6*a(d) - 5*b(d). Factor y(p).
(p - 270)**2
Let v(s) be the first derivative of s**5/4 - 5*s**4/12 + 16*s - 10. Let d(r) be the first derivative of v(r). Let d(o) = 0. Calculate o.
0, 1
Let z(v) be the second derivative of v**4/21 - 352*v**3/21 + 15488*v**2/7 + 8*v - 7. Find u such that z(u) = 0.
88
Let f(o) be the first derivative of -4 - 4/11*o**2 - 2/33*o**3 + 0*o. Let f(a) = 0. What is a?
-4, 0
Let s(i) = i**3 + 5*i**2 + 2*i + 7. Let z be s(-5). Let j(c) = -2*c**2 - 43*c - 83. Let f(t) = t**2 - t - 1. Let k(x) = z*f(x) + j(x). What is r in k(r) = 0?
-4
Let f(n) be the third derivative of n**7/42 - n**6/2 + 29*n**5/12 - 15*n**4/4 - 346*n**2 - 2. Factor f(c).
5*c*(c - 9)*(c - 2)*(c - 1)
Let b = -31064 - -217449/7. Factor -4/7*q + b*q**2 + 2/7*q**3 - 3/7.
(q + 1)**2*(2*q - 3)/7
Suppose -13/6*g**3 - 1/6*g**5 + 0 - 2*g**2 - 2/3*g - g**4 = 0. Calculate g.
-2, -1, 0
Factor 0*l**3 + 0 - 2/9*l + 2/9*l**5 - 4/9*l**4 + 4/9*l**2.
2*l*(l - 1)**3*(l + 1)/9
Let m = 7762 - 7758. Factor 0 + 0*v + 0*v**3 - 5/2*v**m + 10*v**2.
-5*v**2*(v - 2)*(v + 2)/2
Let c(m) be the third derivative of 0*m**3 + 0*m - 1/15*m**5 - 1/6*m**4 + 14*m**2 + 0. Factor c(u).
-4*u*(u + 1)
Suppose -3*d = 4*o - 38, 2*o + 0*d - 22 = -3*d. Let l be ((o/(-2))/(-24))/((-4)/(-6)). Factor l*r**2 + 1/4*r - 1/2.
(r - 1)*(r + 2)/4
Let t be 91/390*4/7. Let c(l) be the second derivative of -4*l + t*l**5 - 2/9*l**4 - 2/63*l**7 + 0 + 2/3*l**2 - 2/9*l**3 + 2/45*l**6. Factor c(y).
-4*(y - 1)**3*(y + 1)**2/3
Let s(r) be the second derivative of -7*r**5/24 - 25*r**4/8 - 45*r**3/4 - 45*r**2/4 + 26*r. Factor s(v).
-5*(v + 3)**2*(7*v + 3)/6
Let z(j) = -6*j**3 - 22*j**2 - 30*j - 12. Suppose 14 = -4*f + 22. Let p(w) = 13*w**3 + 45*w**2 + 61*w + 24. Let s(i) = f*p(i) + 5*z(i). Factor s(g).
-4*(g + 1)**2*(g + 3)
Let h(y) = 11*y**3 - y + 5. Let x(d) be the second derivative of 5*d + 0*d**4 + 0 + 1/6*d**3 - 1/4*d**5 - d**2. Let z(t) = -2*h(t) - 5*x(t). Factor z(j).
3*j*(j - 1)*(j + 1)
Suppose 0 = 3*r + 12, -5*l + 4*r = -r. Let k = l + 7. Find b, given that -5*b**3 - 8*b**5 + b**k + 20*b**5 - 8*b**4 = 0.
-1/3, 0, 1
Let q(c) be the first derivative of -c**4/4 - 7*c**3/3 + c**2/2 + 9*c + 6. Let u be q(-7). Suppose -2*f**3 - 6*f**u - 2*f**2 + 0*f**2 - 8*f = 0. What is f?
-2, 0
Factor -4*o + 9/2 - 1/2*o**2.
-(o - 1)*(o + 9)/2
Factor 54*r - 220*r + 10 - 205*r**2 - 223*r - 16*r.
-5*(r + 2)*(41*r - 1)
Let f(w) be the second derivative of w**7/105 - 2*w**6/25 + w**5/5 - 11*w**3/15 + 6*w**2/5 + 3*w + 4. Solve f(n) = 0.
-1, 1, 2, 3
Suppose -311 + 35 = 3*s. Let f = s - -94. Suppose 2/3*m + 0 - 7/3*m**4 - 11/3*m**f + 16/3*m**3 = 0. Calculate m.
0, 2/7, 1
Let i(w) = -17*w - 132. Let g be i(-8). Let p(b) be the first derivative of 2/5*b**2 + 2/25*b**5 - 2/15*b**3 - 1/5*b**g - 8 + 0*b. Solve p(d) = 0.
-1, 0, 1, 2
Let s(w) = 3*w**2 - 13*w - 16. Let o(k) = 9*k**2 - 38*k - 47. Let g(i) = 4*o(i) - 11*s(i). Solve g(f) = 0.
-1, 4
Let b(x) be the second derivative of -1/80*x**5 + 1/12*x**4 - 1/6*x**3 + 0*x**2 - 6*x + 0. Factor b(z).
-z*(z - 2)**2/4
Let z(c) be the second derivative of 19*c**4/8 - 9*c**3 - 3*c**2 - 2*c - 4. Solve z(a) = 0.
-2/19, 2
Let j(v) = -v**2 + 159*v - 3. Let f(m) = -m**2 - m + 1. Let n(z) = 3*f(z) + j(z). Solve n(c) = 0 for c.
0, 39
Let d(k)