 - 6*l**6/5 - 79*l**5/20 - 13*l**4/2 - 6*l**3 - 39*l**2. Find w such that a(w) = 0.
-3, -1, -2/3
Let -5*d**3 + 3 - 33 - 4*d + 39*d = 0. Calculate d.
-3, 1, 2
Let s(u) be the second derivative of 4/45*u**6 + 1/6*u**5 + 0 + 0*u**2 + 1/63*u**7 + 1/9*u**4 - u + 0*u**3. Factor s(w).
2*w**2*(w + 1)**2*(w + 2)/3
Let k(c) = 4*c + c**2 - 3*c**2 - 4 + 0*c**2 + 3*c**3. Let o(g) = -6*g**3 + 3*g**2 - 9*g + 9. Let r(m) = 9*k(m) + 4*o(m). Factor r(t).
3*t**2*(t - 2)
Let o(t) = -2*t**2 + t. Let m be o(-1). Let b be (-15)/(-4) + m/4. Factor 3*j - 7*j**3 - 12*j**2 - 11*j**3 - 6*j - b*j**5 - 7*j**4 - 5*j**4.
-3*j*(j + 1)**4
Let z(i) be the third derivative of 0*i**4 - 5*i**2 + 0*i**5 - 1/360*i**6 - 1/630*i**7 + 0*i + 0 + 0*i**3. Suppose z(t) = 0. Calculate t.
-1, 0
Suppose -2*o + 0*o - 6 = 0. Let k = o - -10. Determine q so that -q + 4 - 2*q - k*q - 6*q**2 = 0.
-2, 1/3
Solve 0*n + 10*n**4 - 4*n**4 + 2 + 4*n**3 - 4*n - 8*n**4 = 0.
-1, 1
Let u = 29 - 27. Let i(l) be the first derivative of u - 1/6*l**3 + 0*l**2 + 1/8*l**4 + 0*l. Let i(x) = 0. Calculate x.
0, 1
Let t = -4/57 - -14/19. Factor n**2 + t*n + 0 + 1/3*n**3.
n*(n + 1)*(n + 2)/3
Let r(c) be the second derivative of 0*c**3 + 1/7*c**2 - 2*c + 0 - 1/42*c**4. What is s in r(s) = 0?
-1, 1
Let i(l) be the first derivative of -l**4/7 - 6*l**3/7 - 10*l**2/7 - 6*l/7 + 23. Determine x, given that i(x) = 0.
-3, -1, -1/2
Let s be 1 + 0 + (-238)/252. Let c(n) be the second derivative of 0*n**2 - 1/60*n**5 + n - 1/90*n**6 + 0 + s*n**3 + 1/36*n**4. Determine t, given that c(t) = 0.
-1, 0, 1
Let b be 106/204 - 2/3. Let x = b + 113/306. Determine a, given that 2/3*a**3 + x*a**5 + 2/3*a**4 + 0 + 2/9*a**2 + 0*a = 0.
-1, 0
Let m(b) = -b**3 + 3*b**2 + 2*b - 4. Let c be m(3). Let w be 1/(-6) + c/3. Factor w*q**2 + 0*q + 0.
q**2/2
Let c(q) = -12*q**4 - 4*q**3 + 4*q**2 + 4*q - 24. Let m(g) = -g**4 + g**2 - g - 1. Let n(k) = -c(k) + 16*m(k). Factor n(s).
-4*(s - 1)**3*(s + 2)
Suppose 1 - 3*n**2 + 2 + 8*n + 5*n**2 + 5 = 0. Calculate n.
-2
Let -4 - 9*v**4 - 30*v + 30*v**3 + 2 + 4 + 7 = 0. Calculate v.
-1, 1/3, 1, 3
Suppose r - 3*r = 0. Suppose 3*u - 12 = -r*u. Factor 0*v + 4/5*v**3 + 0 + 2/5*v**u + 2/5*v**2.
2*v**2*(v + 1)**2/5
Let h(g) = -g**3 - 7*g**2 - g - 6. Let o be h(-7). Solve -o + 7*x**2 + x + x + 4*x**3 + 0 = 0.
-1, 1/4
Let o(k) = k - 2. Let u be o(7). Let y(j) be the third derivative of -3*j**2 + 0*j**3 + 0*j**4 + 0 + 0*j - 1/105*j**7 - 1/45*j**6 - 1/90*j**u. Factor y(n).
-2*n**2*(n + 1)*(3*n + 1)/3
Let z(d) = d + 9. Let v be z(-9). Let g(r) = r**3 + 3*r**2 + r. Let p be g(-2). Factor 6*x**4 + 7*x**3 + v*x**3 - 2*x + x - 3*x**p + 1 - 2*x.
(x + 1)**2*(2*x - 1)*(3*x - 1)
Let q = 8/13 + -3/26. Determine v, given that q*v**5 + 1/2*v**2 - 1/2*v**4 + 0*v + 0 - 1/2*v**3 = 0.
-1, 0, 1
Suppose -14*s = -6*s - 16. Let y(w) be the second derivative of -4/21*w**3 + 1/105*w**6 - 2/35*w**5 + 1/7*w**4 + 0 + 1/7*w**2 + s*w. Let y(t) = 0. Calculate t.
1
Let t(i) = -31*i**4 - 19*i**3 - 10*i**2 + 11*i. Let h be 1/2 + 21/2. Let q(w) = -6*w**4 - 4*w**3 - 2*w**2 + 2*w. Let b(u) = h*q(u) - 2*t(u). Factor b(r).
-2*r**2*(r + 1)*(2*r + 1)
Let c(x) be the third derivative of 0*x - 3*x**2 + 0 - 1/120*x**5 + 1/12*x**3 + 0*x**4. Factor c(q).
-(q - 1)*(q + 1)/2
Suppose -2*n = 2*n + 4*b - 24, -21 = -5*n + 4*b. Suppose 0 = 4*r - n*r + 2. Solve -8/7*k**r - 2/7*k**4 + 0 - 8/7*k**3 + 0*k = 0 for k.
-2, 0
Let s be ((-32)/40)/(12/(-10)). Determine w so that 2/3*w**3 + 0 + 0*w - s*w**2 = 0.
0, 1
Let s be 1/(-2) + 18/4. Suppose 5*o - 4*g - 26 = 0, -s*o + 9*o - 2 = -2*g. Let -n**2 + 1 + 4*n**o + 12*n + 11 = 0. What is n?
-2
Let v(z) be the second derivative of -z**4/84 + z**3/42 - 7*z. Determine s so that v(s) = 0.
0, 1
Let a(g) be the first derivative of -1 - 4/3*g**3 + 0*g**2 + 2/5*g**5 + 0*g + 1/2*g**4. Factor a(s).
2*s**2*(s - 1)*(s + 2)
Let n = 23 + -18. Solve 0*d + 0*d**4 + 0*d**2 + 0 - 2/9*d**n + 2/9*d**3 = 0 for d.
-1, 0, 1
Let j(r) be the first derivative of 10*r**6 + 41*r**5 + 65*r**4/4 - 10*r**3 - 15. Let j(c) = 0. Calculate c.
-3, -2/3, 0, 1/4
Let j be 2*(-3)/4*-2. Let u(f) be the first derivative of 0*f**4 + 2 + 0*f**j + 0*f + 0*f**2 + 2/35*f**5. Determine x, given that u(x) = 0.
0
Let k(b) = -b**3 - 2*b**2 - 2*b. Let x(v) be the first derivative of -v**4/4 - v**3/3 - v**2/2 - 1. Let w(l) = -2*k(l) + 4*x(l). Factor w(n).
-2*n**3
Suppose 28*f**2 - 3 + 2 - 2 - 25*f**2 = 0. What is f?
-1, 1
Let h(u) = u**3 + u + 1. Let v(m) = 3*m**3 - 3*m**2 + 2*m + 2. Let l(w) = 2*h(w) - v(w). Factor l(i).
-i**2*(i - 3)
Let k(q) = -q**3 + 7*q**2 - 2*q - 4. Let y be k(6). Let j be 2/(-4)*y/(-45). Factor j*s**3 + 0*s + 0 + 0*s**2.
2*s**3/9
Let k be 0/(1/((-1)/(-1))). Suppose 4*c - 3*c - 2 = k. What is l in 0 + 0*l - 1/3*l**c = 0?
0
Let f(n) be the second derivative of n**8/1120 - n**7/1680 - n**6/120 + n**5/80 + n**4/4 - n. Let j(i) be the third derivative of f(i). Factor j(a).
3*(a - 1)*(a + 1)*(4*a - 1)/2
Let j(b) be the first derivative of -b**5/5 + b**4 - b**3 - 2*b**2 + 4*b - 2. Factor j(i).
-(i - 2)**2*(i - 1)*(i + 1)
Let z(l) be the third derivative of l**7/70 + l**6/8 + 2*l**5/5 + l**4/2 + 2*l**2 - 19*l. Factor z(a).
3*a*(a + 1)*(a + 2)**2
Let b(u) be the third derivative of u**2 + 0*u - 1/15*u**5 + 0 - 17/600*u**6 - 2/525*u**7 + 0*u**3 - 1/30*u**4. Factor b(i).
-i*(i + 2)**2*(4*i + 1)/5
Let s(v) = v**2 - 9*v + 4. Let n be s(9). Suppose 4/3*q + 0*q**2 - 4/3*q**3 + 2/3*q**n - 2/3 = 0. What is q?
-1, 1
Determine x so that -29*x - 7*x + 2*x**2 - 6*x**2 = 0.
-9, 0
Let m**2 + m**2 - 2 + m**2 - m**2 = 0. Calculate m.
-1, 1
Let z(h) be the second derivative of h**5/20 - 7*h**4/12 + 8*h**3/3 - 6*h**2 + 18*h. Factor z(k).
(k - 3)*(k - 2)**2
Let d(m) be the second derivative of m**7/105 - m**6/60 - 3*m**2/2 - 3*m. Let p(v) be the first derivative of d(v). Let p(o) = 0. Calculate o.
0, 1
Let x(m) be the third derivative of 0*m - 1/216*m**8 + 1/60*m**6 - 3*m**2 + 0*m**3 + 1/54*m**5 + 0 - 1/189*m**7 - 1/54*m**4. Let x(o) = 0. What is o?
-1, 0, 2/7, 1
Let j(l) be the first derivative of 0*l**6 + 0*l**4 + 1/540*l**5 + l**3 + 0*l + 0*l**2 - 1/3780*l**7 - 2. Let t(o) be the third derivative of j(o). Factor t(q).
-2*q*(q - 1)*(q + 1)/9
Factor -8 + c**2 - 12*c - 10*c**2 + 5*c**2.
-4*(c + 1)*(c + 2)
Let j(y) be the second derivative of y**4/3 - 52*y**3/3 + 338*y**2 + 5*y - 4. Let j(b) = 0. What is b?
13
Let w = 1 + -1. Suppose 0 = -3*l - w*l + 15. Solve -14*z + 24*z**3 + 2*z - 2 - z**2 + 5*z**l + 23*z**4 + z**5 - 2 = 0 for z.
-2, -1, -1/2, 2/3
Let n(w) = -w**2 + w - 1. Let d(l) = 8*l**2 - 8*l + 7. Let h(j) = -d(j) - 3*n(j). Let t(o) = -o - 1. Let x(m) = h(m) - 2*t(m). Factor x(b).
-(b - 1)*(5*b - 2)
Suppose 21/8*p - 3/8 - 6*p**3 - 3*p**2 = 0. What is p?
-1, 1/4
Let d be (8/6)/((-17)/(-51)). Let y(c) be the third derivative of c**2 + 0 + 0*c - 1/9*c**3 + 1/180*c**5 - 1/72*c**d. Factor y(l).
(l - 2)*(l + 1)/3
Let u(m) be the third derivative of -m**8/420 + 2*m**7/175 - m**6/150 - m**5/25 + m**4/15 + 6*m**2. Find v, given that u(v) = 0.
-1, 0, 1, 2
Suppose -s + 1 = -17. Let x = s + -16. Suppose 4/3*z + 0 - x*z**2 + 10/3*z**5 - 14/3*z**3 + 2*z**4 = 0. Calculate z.
-1, 0, 2/5, 1
Let y(s) be the first derivative of s**4 + 16*s**3/3 + 10*s**2 + 8*s + 1. Factor y(o).
4*(o + 1)**2*(o + 2)
Let b be (-18)/(-12)*(-790)/12. Let m = -98 - b. Find q, given that 3/4*q**2 + m*q**4 + 0*q + 0 - 3/2*q**3 = 0.
0, 1
Let t(q) be the first derivative of 0*q**2 + 0*q - 3 - 5/2*q**4 - 4/3*q**3. Find p such that t(p) = 0.
-2/5, 0
Let m(d) be the second derivative of -2*d**6/15 - d**5/10 + 44*d. Factor m(c).
-2*c**3*(2*c + 1)
Let j be (-4)/(-22) + (-93)/(-33). Factor 21*t**2 - 6*t - 3*t**3 - 11*t**3 - t**j.
-3*t*(t - 1)*(5*t - 2)
Let k(p) = -3*p**5 - 11*p**4 + 11*p**3 - 7*p**2 + 5*p. Let x(q) = -q**5 - 5*q**4 + 5*q**3 - 3*q**2 + 2*q. Let a(y) = -2*k(y) + 5*x(y). Factor a(v).
v**2*(v - 1)**3
Suppose -3*y - 5*j + 3 + 11 = 0, -12 = -4*y - 5*j. Let i(r) = r**2 - 2*r - 3. Let o be i(y). Factor 0*a**2 + 0 - 2/3*a**o + 0*a + 4/3*a**4 - 2/3*a**3.
-2*a**3*(a - 1)**2/3
Factor -10*n**4 + 0*n**4 - 6*n**5 + 11*n**5.
5*n**4*(n - 2)
Let o(d) = -7*d**3 - 17*d. Let i(s) = -8*s**3 - s**2 - 18*s - 1. Let l(h) = 6*i(h) - 7*o(h). Determine w so that l(w) = 0.
1, 2, 3
Let -2/9*b**5 + 0 + 0*b + 2/9*b**2 - 2/9*b**4 + 2/9*b**3 = 0