iven that b(k) = 0.
-1, 0, 2/3
Let m(p) be the second derivative of -p**4/4 + 9*p**3/2 + 15*p**2 - 98*p. Factor m(z).
-3*(z - 10)*(z + 1)
Let z(j) = -3*j**3 + 75*j**2 - 48*j - 6. Let o(w) = -3*w**3 + 72*w**2 - 49*w - 5. Let a(k) = 6*o(k) - 5*z(k). Let a(m) = 0. What is m?
0, 1, 18
Suppose -2*v + 17 = 23*u - 22*u, 2*u + 22 = 4*v. Let o(n) be the second derivative of 0 - 1/26*n**4 - v*n + 0*n**2 + 1/39*n**3. Factor o(h).
-2*h*(3*h - 1)/13
Let l(q) = q**2 + 21*q - 125. Let j be l(5). Let g(p) be the second derivative of 0*p**4 + 1/130*p**j + 0*p**3 + 0 + 0*p**2 + 2*p. Factor g(m).
2*m**3/13
Determine b so that 1/3*b**3 - 31*b**2 - 29791/3 + 961*b = 0.
31
Let c(p) be the first derivative of p**5/60 + 5*p**4/24 + 2*p**3/3 + 11*p**2/2 + 2. Let n(w) be the second derivative of c(w). Solve n(r) = 0.
-4, -1
Suppose -2*v = -2*a - 7*v - 6, 3*v = -2*a - 2. Let c be 16/6*(-6)/(-4). Factor -c*n**4 - 3*n - n + 3*n**5 + 6*n**2 + n - a*n**4.
3*n*(n - 1)**3*(n + 1)
Let w(m) be the second derivative of 0*m**2 + 20*m + 0*m**4 + 0 + 9/20*m**5 - 2*m**3 - 1/10*m**6. Factor w(a).
-3*a*(a - 2)**2*(a + 1)
Let p(j) be the first derivative of j - 12 + 1/18*j**3 - 7/12*j**2. Suppose p(f) = 0. Calculate f.
1, 6
Let j(y) be the first derivative of y**7/420 - y**6/48 + 3*y**5/40 - 7*y**4/48 + y**3/6 + 9*y**2/2 - 12. Let n(s) be the second derivative of j(s). Factor n(l).
(l - 2)*(l - 1)**3/2
Let l(t) be the second derivative of -t**4/12 - 2*t**3/3 - t**2 + 15*t. Let r be l(-2). Suppose -1/5*f + 1/5*f**3 + 1/5*f**4 + 2/5 - 3/5*f**r = 0. Calculate f.
-2, -1, 1
Let m(c) be the third derivative of -c**6/2160 + c**5/240 - 2*c**3 + 9*c**2. Let q(u) be the first derivative of m(u). Factor q(v).
-v*(v - 3)/6
Let p(x) be the first derivative of -x**7/70 + x**6/20 - 5*x**2 + 2. Let a(s) be the second derivative of p(s). Determine l so that a(l) = 0.
0, 2
Let l(b) be the second derivative of -5*b**4/12 - 5*b**3/2 + 175*b**2 + 97*b - 3. Suppose l(c) = 0. Calculate c.
-10, 7
Let 15/4*k**4 + 3/2*k - k**3 + 7/4 - 1/2*k**5 - 11/2*k**2 = 0. What is k?
-1, -1/2, 1, 7
Let p(l) be the first derivative of -l**4/16 + 2*l**3/3 - 76. Let p(r) = 0. Calculate r.
0, 8
Let l(p) = 15*p**5 + 9*p**4 + 12*p**3 - 12*p - 12. Let t(m) = m**5 + m**4 + m**3 - m - 1. Let i(q) = l(q) - 12*t(q). Factor i(f).
3*f**4*(f - 1)
Let a be (-4)/(2/((-6)/(-3))). Let m be 1/a + (-18)/(-8). Find s such that 2*s**5 - 6*s**m + 9*s**4 + 2*s**5 + 6*s**3 - s**5 + 5 - 8 - 9*s = 0.
-1, 1
Let a(c) be the third derivative of c**7/525 + c**6/50 + 4*c**5/75 - 244*c**2. What is m in a(m) = 0?
-4, -2, 0
Determine d, given that 0*d - 1/5*d**3 + 2/5*d**4 + 0 + 1/5*d**5 - 2/5*d**2 = 0.
-2, -1, 0, 1
Let h(v) be the second derivative of v**7/210 - v**6/30 - v**5/30 + v**4/2 + 11*v**3/6 - 24*v. Let p(n) be the second derivative of h(n). Factor p(j).
4*(j - 3)*(j - 1)*(j + 1)
Suppose -8*h = -2*h - 30. Let j(a) be the second derivative of -1/60*a**h - 1/6*a**3 + 1/90*a**6 + 8*a - 5/36*a**4 + 0*a**2 + 0. Factor j(s).
s*(s - 3)*(s + 1)**2/3
Let f(c) be the third derivative of -3*c**8/112 - c**7/70 + c**6/24 - c**5/60 + 27*c**2 - 4. Suppose f(g) = 0. What is g?
-1, 0, 1/3
Let y(q) be the third derivative of 4/45*q**3 + 0 + 1/60*q**4 - 1/450*q**5 + 0*q + 20*q**2. Factor y(h).
-2*(h - 4)*(h + 1)/15
Let o(t) be the second derivative of -t**5/40 + 7*t**4/12 - 65*t**3/12 + 25*t**2 + 58*t. Factor o(n).
-(n - 5)**2*(n - 4)/2
Let b(k) be the second derivative of -13*k - 1/6*k**3 + 0*k**2 + 1/4*k**4 + 0. Factor b(j).
j*(3*j - 1)
Let p(m) be the second derivative of -m**4/30 - 12*m**3/5 - 7*m**2 - 266*m. Factor p(x).
-2*(x + 1)*(x + 35)/5
Suppose -2*i + 5 = 1. Let c = 0 + i. Let 6*r - 13*r**4 - 12*r**3 + 6*r**5 - 6*r**c + 3 + 27*r**4 - 11*r**4 = 0. What is r?
-1, -1/2, 1
Let y(t) be the first derivative of 2*t**3/27 + 4*t**2/9 - 10*t/9 + 10. Solve y(k) = 0.
-5, 1
Let t(i) be the third derivative of i**8/50400 - i**7/6300 - 7*i**5/60 - 7*i**2. Let p(b) be the third derivative of t(b). Factor p(m).
2*m*(m - 2)/5
Suppose -5*p + 18 = 4*p. Factor -15 + 5*m + 8*m**p - 3*m**2 - 15*m.
5*(m - 3)*(m + 1)
Let b be 2/4*(-24)/4*-2. Let f be (-5)/(-280)*4*b. Let -12/7*j**3 + 0 - f*j - 15/7*j**2 = 0. Calculate j.
-1, -1/4, 0
Let y(r) = r**2 - r - 1. Let d(q) be the first derivative of -4/3*q**3 + 1 + 4*q + 3/2*q**2. Let g(x) = -d(x) - 3*y(x). Factor g(t).
(t - 1)*(t + 1)
Factor 15129 - 11302*o - 2183*o - 245*o**2 + 0*o**3 + 5619*o - o**3 - 7017*o.
-(o - 1)*(o + 123)**2
Factor -b**3 - 4/5*b + 0 + 12/5*b**2.
-b*(b - 2)*(5*b - 2)/5
Let 18/7*o**3 + 0*o + 3/7*o**5 + 0*o**2 + 0 - 15/7*o**4 = 0. Calculate o.
0, 2, 3
Let c(o) = o**3 + 9*o**2 - 9*o + 12. Let f = -18 + 8. Let k be c(f). Factor 2 + r**4 - 3*r - 2*r + 5*r**3 + 12*r - 5*r**k + 14*r**2.
(r + 1)**3*(r + 2)
Let d be (-10)/(6 - 176/28). Suppose 0 = 4*t + 3*t - d. Solve 2/7*x - 2/7*x**t + 4/7*x**4 + 0*x**3 + 0 - 4/7*x**2 = 0.
-1, 0, 1
Suppose 0 = -x - 3*b + 16, -x - b + 12 = b. Factor 3*n**2 - 14*n**4 + 7*n**2 - 5 + 8*n**4 + 5*n**5 + 5*n - 10*n**3 + n**x.
5*(n - 1)**3*(n + 1)**2
Let -3*y**3 + 10 - 11*y**2 + 0*y**4 + 4*y**4 - 81*y + 84*y - 3*y**4 = 0. Calculate y.
-2, -1, 1, 5
Let f(w) be the second derivative of -w**6/6 + w**5/2 + 5*w**4/4 + 178*w. Determine d so that f(d) = 0.
-1, 0, 3
Suppose 0*m - m = 2. Suppose 0 = -4*g - 3 + 15. Let n(p) = p**3 + p**2 - p - 1. Let d(v) = v**3 + v**2 - v - 1. Let u(f) = g*d(f) + m*n(f). Factor u(x).
(x - 1)*(x + 1)**2
Determine y, given that 0 + 3*y + 17 - 11 + 6*y + 3*y**2 = 0.
-2, -1
Factor -621*x**3 + 18*x**4 + 30*x**4 + 1058*x**2 - 3322*x**5 + 3321*x**5.
-x**2*(x - 23)**2*(x - 2)
Let t = 9 - 5. Factor 100*y**3 - 2*y**2 + 20*y**2 - 32 + 22*y**2 - 80*y**t + 16*y**5 - 80*y.
4*(y - 2)**3*(2*y + 1)**2
Let v be 425/15 - 2/6. Let p be (-4)/30*3 - v/(-45). Suppose -4/9 - p*n**2 - 2/3*n = 0. Calculate n.
-2, -1
Let k(p) be the third derivative of -3*p**7/385 + p**6/44 + 13*p**5/110 - p**4/44 - 6*p**3/11 - 77*p**2. Determine g so that k(g) = 0.
-1, 2/3, 3
Let r(f) = -8*f**2 - 144*f - 1452. Let h(y) = -y**2 + 2*y - 2. Let g(u) = -4*h(u) + r(u). Suppose g(c) = 0. Calculate c.
-19
Let y(b) be the first derivative of -b + 7/2*b**3 + 9/4*b**4 - 2 - 3*b**2. Let g(k) be the first derivative of y(k). Let g(c) = 0. What is c?
-1, 2/9
Let z(d) be the third derivative of d**6/144 + 29*d**5/72 - 25*d**4/24 - 17*d**2 - 2*d. Factor z(l).
5*l*(l - 1)*(l + 30)/6
Let y(r) = -r**3 + r**2 + 3*r + 5. Let q be y(-2). Suppose q*l = 8*l. What is b in l*b + 0*b**2 + 1/3*b**3 + 0 - 1/3*b**4 = 0?
0, 1
Suppose 4*f = -r - 30, -5*f - 2 = 23. Let l be (r - -4)/(-1) - 4. Factor 2 - 13*v**2 - 2*v**3 - 12*v**2 + 23*v**2 + l*v.
-2*(v - 1)*(v + 1)**2
Factor 40/13*x + 0 + 10/13*x**3 - 202/13*x**2.
2*x*(x - 20)*(5*x - 1)/13
Let f(y) be the second derivative of 7/36*y**4 + 3/20*y**5 + 0 + 0*y**2 - 1/9*y**3 + 17*y. Factor f(d).
d*(d + 1)*(9*d - 2)/3
Factor 15987/8 + 441/8*g**2 - 3/8*g**3 - 16425/8*g.
-3*(g - 73)**2*(g - 1)/8
Let f(b) = -5*b - 3. Suppose -t - 2*m + 1 = -6, 3*t + 15 = 3*m. Let l be f(t). Let 0 - 6/13*u**l + 4/13*u + 2/13*u**3 = 0. What is u?
0, 1, 2
Let f(w) be the first derivative of 1/140*w**5 + 10 + 3/14*w**3 + 0*w - 2*w**2 - 1/14*w**4. Let d(v) be the second derivative of f(v). Factor d(j).
3*(j - 3)*(j - 1)/7
Let -6*x**3 + x**2 - 4*x**2 + 4*x**5 + 2*x**3 + 3*x**2 = 0. What is x?
-1, 0, 1
Let p be -8 + 4 + 6/1. Let i be 3 + 1*p*(-1)/2. Factor -8/3 - 1/6*g**i - 4/3*g.
-(g + 4)**2/6
Suppose 2*m - 47 = 13. Let 53*d**2 - 26*d**2 + 3 - m*d**2 = 0. Calculate d.
-1, 1
Let v(a) be the first derivative of 2*a**3/9 - 230*a**2/3 + 26450*a/3 + 153. Solve v(q) = 0 for q.
115
Let g(j) be the first derivative of j**4/28 - 37*j**3/21 + 5*j**2 - 576. Factor g(n).
n*(n - 35)*(n - 2)/7
Let c(t) be the third derivative of -t**8/168 + t**7/21 - t**6/6 + t**5/3 - 5*t**4/12 + t**3/3 + 249*t**2. Factor c(f).
-2*(f - 1)**5
Let p = 132/7 - 130/7. Factor p*x**4 + 0 + 0*x**3 + 0*x + 0*x**2.
2*x**4/7
Let n = -26 + 13. Let r(d) = d**2 + 13*d + 7. Let l be r(n). Factor -l*i**3 + 13*i**3 + 2*i**2 + 2*i**3 - 12*i**4 + 2*i**2.
-4*i**2*(i - 1)*(3*i + 1)
Let o(b) be the third derivative of 0 + 0*b**3 - 11*b**2 + 1/3*b**4 + 1/15*b**5 + 0*b. Factor o(d).
4*d*(d + 2)
Factor 26/5*c - 2*c**2 + 12/5.
-2*(c - 3)*(5*c + 2)/5
Let z(i) = 6*i**2 - 62*i 