b(f) = -5*f**3 + 3*f**2 + 4. Let n(w) = p*b(w) + 6*j(w). Factor n(k).
-(k - 2)**2*(k + 1)
Let l(a) = -a**2 - 4*a + 14. Let u be l(-6). Determine s, given that 2*s**3 + 5*s**5 - 4*s**u - s**5 + 10*s**4 + 58*s - 58*s = 0.
-2, -1, 0, 1/2
Let i(z) be the third derivative of -z**9/302400 + z**8/33600 - z**7/8400 + z**6/3600 - z**5/60 + 4*z**2. Let j(c) be the third derivative of i(c). Factor j(r).
-(r - 1)**3/5
Let x(q) = -q**3 - 6*q**2 - 5*q - 1. Let h be x(-5). Let k be h - (-12)/((-6)/(-2)). Determine v, given that -3*v**4 + 6*v**3 + k*v - 3*v**2 - v - 2*v = 0.
0, 1
Let k(s) = 2*s**2 + 7*s. Let z(a) = 6*a**2 + 20*a. Let o(y) = -14*k(y) + 5*z(y). Solve o(w) = 0 for w.
-1, 0
Let o(t) = 18*t + 1. Let u be o(2). Let -39 - 2*v - 4*v**4 + u + 3*v**3 + 6*v**2 - v**3 = 0. What is v?
-1, -1/2, 1
Let y(m) be the first derivative of 0*m**2 + 0*m - 8/3*m**3 + m**4 - 6. Solve y(r) = 0 for r.
0, 2
Let q(o) be the second derivative of o**5/110 - o**4/66 - 2*o**3/33 - 7*o. Determine l, given that q(l) = 0.
-1, 0, 2
Suppose 2/9*l**4 - 10/9*l**3 + 2*l**2 - 14/9*l + 4/9 = 0. What is l?
1, 2
Let p be -8*4/(-128) + 1/28. Factor -p*z**2 + 0*z + 0.
-2*z**2/7
Let j(l) be the third derivative of l**7/3780 - l**6/180 + l**5/20 - l**4/3 + 4*l**2. Let k(x) be the second derivative of j(x). Solve k(h) = 0 for h.
3
Let a be (12/9)/((-4)/(-12)). Suppose a = -5*g + 24. Suppose -3 - 12*r**3 - 2*r**4 - 12*r + 0*r**4 - 2*r**g - 18*r**2 + r**4 = 0. Calculate r.
-1
Let m(z) be the third derivative of z**5/12 - 5*z**4/24 - 5*z**3/3 + 23*z**2. Suppose m(o) = 0. Calculate o.
-1, 2
Let m(j) be the first derivative of j**5/10 - 3*j**4/8 + j**3/2 - j**2/4 + 14. Factor m(s).
s*(s - 1)**3/2
Let a(b) = 3*b**3 - 77*b**2 + 216*b - 216. Let p(k) = 8*k**3 - 192*k**2 + 540*k - 540. Let u = -15 - -20. Let h(d) = u*p(d) - 12*a(d). Factor h(x).
4*(x - 3)**3
Suppose 3*v - 23 = 5*r - 0*r, -20 = -3*v + 2*r. Let n = 6 - v. Solve 0*p + n - 1/5*p**2 = 0 for p.
0
Let v(r) = -r**2 - 4*r - 3. Let y be v(-3). What is h in 0*h**2 - 2*h - 1 - h**2 + y = 0?
-1
Suppose 13 = 4*p + 3*t, -4*p + 7*p = -2*t + 10. Factor 6*s**3 + 21 - 3*s**p - 3*s - 24 + 0*s**2 + 6*s**2 - 3*s**5.
-3*(s - 1)**2*(s + 1)**3
Let a be 6*(-2 + (-3)/(-2)). Let z be a/(-6)*-2*-2. Let 0 + 14/5*j**3 + 4/5*j + 18/5*j**z = 0. What is j?
-1, -2/7, 0
Let b(h) be the third derivative of h**5/570 + 5*h**4/228 - 38*h**2. What is l in b(l) = 0?
-5, 0
Let y be 22/11 + (-1 - -1). Find p, given that -1/4*p**5 - p**3 + 1/2 - p**4 + 1/2*p**y + 5/4*p = 0.
-2, -1, 1
Determine y, given that -4/7*y**2 - 6/7*y**3 + 0*y**4 + 2/7*y**5 + 0 + 0*y = 0.
-1, 0, 2
Let y(h) be the first derivative of -4*h**5/15 - h**4/3 + 8*h**3/9 - 1. Factor y(z).
-4*z**2*(z - 1)*(z + 2)/3
Suppose 0 = 4*s + 5*c - 92, -4*c - 1 = -17. Factor -s + 3*m**3 + 30*m - 2*m**3 + 0*m**3 - 14*m**2 + m**3.
2*(m - 3)**2*(m - 1)
Let s(l) be the first derivative of -1/2*l**4 + 2/5*l**5 - 1/3*l**3 + 5/4*l**2 + 7 - l - 1/12*l**6. Let s(x) = 0. Calculate x.
-1, 1, 2
Let v = -174 + 703/4. Solve -5/4*f**3 + v*f**4 - 9/4*f**2 + 5/4*f + 1/2 = 0.
-1, -2/7, 1
Let f(o) be the first derivative of -2 + 0*o**3 - 1/8*o**2 - o + 1/48*o**4. Let a(s) be the first derivative of f(s). Find g, given that a(g) = 0.
-1, 1
Let j(q) be the second derivative of q**6/60 + q**5/30 - q**4/12 - q**3/3 + 5*q**2/2 - 4*q. Let t(z) be the first derivative of j(z). Factor t(w).
2*(w - 1)*(w + 1)**2
Factor -24/13 + 2/13*d**2 + 22/13*d.
2*(d - 1)*(d + 12)/13
Let d(i) be the first derivative of 1/12*i**6 + 1/3*i**3 + 0*i**4 + 0*i + 1 - 1/5*i**5 - 1/4*i**2. Let d(p) = 0. Calculate p.
-1, 0, 1
Let x(g) be the second derivative of 0 + 0*g**3 + 3/80*g**5 + 0*g**2 + 1/48*g**4 - 9*g. Solve x(q) = 0 for q.
-1/3, 0
Let b = -221 - -223. Let q = 164 + -1146/7. Determine j, given that 2/7 + q*j**b + 4/7*j = 0.
-1
Let g(u) be the second derivative of 3/130*u**5 + 0 - 1/26*u**4 + 0*u**2 - 1/195*u**6 - u + 1/39*u**3. Factor g(n).
-2*n*(n - 1)**3/13
Let k(a) be the second derivative of a + 0 - 1/20*a**5 + 0*a**4 + 1/6*a**3 + 0*a**2. Factor k(z).
-z*(z - 1)*(z + 1)
Let w be (40/12)/(4/6). Suppose 2*d**4 + d**2 + d**w - d - 4*d**4 + d**2 = 0. Calculate d.
-1, 0, 1
Let m(q) be the second derivative of q**7/63 + q**6/45 - q**5/15 - q**4/9 + q**3/9 + q**2/3 + 5*q. Factor m(v).
2*(v - 1)**2*(v + 1)**3/3
Let y(m) be the first derivative of m**7/1680 + m**6/240 + m**5/80 + m**4/48 - m**3 - 2. Let f(o) be the third derivative of y(o). Factor f(v).
(v + 1)**3/2
Suppose -80/7*k + 4/7*k**2 + 400/7 = 0. Calculate k.
10
Let m(q) = q**3 + 5*q**2 + 4*q + 4. Let i be m(-4). Factor -2*l**5 + l**5 - 3*l**4 + 2*l**2 + 3*l + 0*l**i - 2*l**3 + 1.
-(l - 1)*(l + 1)**4
Let u(k) = -k**2 + 7*k + 8. Let p(d) = d**2 - 3*d - 4. Let t(x) = 5*p(x) + 3*u(x). Let t(i) = 0. What is i?
-2, -1
Let i be (-15)/20 - 66/(-56). Let -i*b**5 + 2/7*b + 0 + 1/7*b**3 - 5/7*b**2 + 5/7*b**4 = 0. Calculate b.
-1, 0, 2/3, 1
Let d be (3 - (-39)/(-9))*-3. Suppose d*s = s. Determine f, given that 1/5*f - 2/5*f**2 + 1/5*f**3 + s = 0.
0, 1
Let p be 13/4 + (-5)/20. Factor v**3 - 2*v**4 + 4*v**p - v**3 - 2*v**5.
-2*v**3*(v - 1)*(v + 2)
Let p(l) = 3*l - 2. Let z be p(1). Let f be 136/240 + z/(-6). Let -f*k**2 + 4/5*k - 38/5*k**4 + 0 - 14/5*k**5 - 6*k**3 = 0. Calculate k.
-1, 0, 2/7
Let r(x) be the second derivative of -x**9/45360 + x**8/20160 + x**7/7560 - x**6/2160 + x**4/4 + 2*x. Let g(v) be the third derivative of r(v). Factor g(t).
-t*(t - 1)**2*(t + 1)/3
Factor 1/4*s**3 + 3/4*s**2 + 1/2*s + 0.
s*(s + 1)*(s + 2)/4
Let m(t) = 3*t - 7. Let c be m(3). Let 10*g**3 - 7 + 0 + 5 + 2*g**c - 10*g = 0. Calculate g.
-1, -1/5, 1
Suppose -2*c - 5*x = 3*c + 15, 4*c - 5*x - 33 = 0. Let n(w) be the third derivative of -1/120*w**5 - 1/48*w**4 + 0 - c*w**2 + 0*w**3 + 0*w. Factor n(r).
-r*(r + 1)/2
Let n(i) be the second derivative of i**7/42 + i**6/30 - i**5/20 - i**4/12 - 3*i + 8. Determine o, given that n(o) = 0.
-1, 0, 1
Let z(f) = 8*f**5 - 10*f**4 + 2*f**3 - 12*f**2 - 12*f. Let g(u) = 3*u**5 - 4*u**4 + u**3 - 5*u**2 - 5*u. Let v(w) = 12*g(w) - 5*z(w). Let v(k) = 0. Calculate k.
-1/2, 0, 1
Let o(l) be the first derivative of -l**5/40 + l**4/24 + l**3/6 - 5*l - 4. Let u(x) be the first derivative of o(x). Factor u(m).
-m*(m - 2)*(m + 1)/2
Factor 0 + 0*u + 9/8*u**3 + 3/8*u**4 + 3/4*u**2.
3*u**2*(u + 1)*(u + 2)/8
Let 588*l**4 + 2002*l**3 - 16/9 - 2058*l**5 + 56*l - 5276/9*l**2 = 0. What is l?
-1, 2/21, 1
Let i(y) = -4*y**2 - 51*y + 13. Let n be i(-13). Factor 3/2*b + n - 9/4*b**2.
-3*b*(3*b - 2)/4
Let d(g) = -g**2 + 6*g. Let b be d(6). Let l = -119 + 122. Determine n, given that 1/2*n**2 + b - 1/2*n + 1/2*n**l - 1/2*n**4 = 0.
-1, 0, 1
Factor -1/4*d**5 + 0*d**2 + 0 + 0*d**4 + 1/2*d**3 - 1/4*d.
-d*(d - 1)**2*(d + 1)**2/4
Suppose -1733 = -5*z - 608. Let b = -64 + z. Factor b*d**4 + 8 + 50*d**5 - 16*d + 38*d**3 + 5*d**2 - 51*d**2 - 51*d**4.
2*(d + 1)**3*(5*d - 2)**2
Let f(h) be the second derivative of -h**5/10 + 7*h**4/6 - 12*h. Factor f(c).
-2*c**2*(c - 7)
Let a = -5 + 9. Let -8*x**2 - 4*x**2 + 2*x**3 - 4 - 90*x + 76*x + a*x**4 = 0. What is x?
-1, -1/2, 2
Let q(l) be the third derivative of -11*l**6/120 - l**5/6 - 2*l**3/3 - 5*l**2. Let z(k) = 10*k**3 + 11*k**2 + 5. Let t(n) = 5*q(n) + 4*z(n). Factor t(j).
-3*j**2*(5*j + 2)
Let y(x) be the third derivative of -x**7/840 - x**6/360 - 2*x**3/3 - 2*x**2. Let r(d) be the first derivative of y(d). Solve r(a) = 0.
-1, 0
Let o(t) = -t**2 + 9*t + 3. Let z be o(9). Let 1 - 2 - 4*a + 0 - z*a**2 = 0. What is a?
-1, -1/3
Let n(g) = -g**2 + 6*g + 7. Let x be n(7). What is k in x + 1/3*k**2 - 2/3*k = 0?
0, 2
Let f = -8 + 13. Factor 0*q**2 + q**f - 3*q**5 - 4*q**2 + 6*q**3.
-2*q**2*(q - 1)**2*(q + 2)
Suppose -2*a - 30 = -4*z - 2, 5*a = 5*z - 40. Suppose 3*w - s = z, -6*w - 4*s = -2*w - 8. Factor -1 - 7/2*v - 5/2*v**w.
-(v + 1)*(5*v + 2)/2
Let b = 2683/18 - 149. Let w(x) be the second derivative of 0*x**2 + 0 - 1/12*x**5 + 2*x - 1/30*x**6 - b*x**4 + 0*x**3. Solve w(o) = 0.
-1, -2/3, 0
Let j = -24 + 4. Let k be j/(-6) + (-4)/12. Determine o so that -o**k - 1/3*o + o**2 + 1/3*o**4 + 0 = 0.
0, 1
Let o(n) be the first derivative of -8/3*n + 1/3*n**4 + 2 - 16/9*n**3 + 10/3*n**2. Factor o(k).
4*(k - 2)*(k - 1)**2/3
Let f(a) be the second derivative of a**7/840 - a**6/480 - 2*a**2 + 6*a. Let w(x