p) be the first derivative of p**3/21 + 44*p**2/7 - 216. Factor n(l).
l*(l + 88)/7
Let v(b) = 3*b**2 - 76*b + 96. Let c be v(24). Suppose c*s**2 - 2/3*s**3 + 0*s + 0 = 0. Calculate s.
0
Let j(g) be the first derivative of g**6/2340 - g**5/390 - 13*g**3/3 - 15. Let x(o) be the third derivative of j(o). Factor x(v).
2*v*(v - 2)/13
Let p(g) be the second derivative of -g**4/12 - g**3/6 - 26*g. Let v(q) = -25*q**2 - 20*q + 5. Let n(f) = -30*p(f) + v(f). Factor n(m).
5*(m + 1)**2
Let x(i) be the second derivative of -i**6/15 - 19*i**5/10 - 40*i**4/3 + 100*i**3/3 + 41*i. Find b, given that x(b) = 0.
-10, 0, 1
Factor -2/9*b**3 + 8/9*b**2 + 0 - 8/9*b.
-2*b*(b - 2)**2/9
Let q(k) be the first derivative of k**2/2 - 6. Let f be q(4). Factor 0*r**2 - 4 + r + f - r**2.
-r*(r - 1)
Let t = 275 + -268. Suppose 5*p = -4*d + 53, 3*p + 23 = 5*d + 3. Factor 3*f**2 + t + 9 + 12*f - d.
3*(f + 1)*(f + 3)
Let p(s) be the first derivative of -2*s**3 + 0*s + 1/2*s**4 - 13 + 0*s**2. Find r, given that p(r) = 0.
0, 3
Let u = 904/2721 + 1/907. Factor 1/3*v**3 - u*v**2 - 1/3*v + 1/3.
(v - 1)**2*(v + 1)/3
Factor 280/9*p + 0 - 4/9*p**2.
-4*p*(p - 70)/9
Let k(u) be the third derivative of 7*u**6/240 - 29*u**5/120 - u**4/12 + 8*u**3/3 - 88*u**2 - 3. Find s such that k(s) = 0.
-1, 8/7, 4
Let t = 1714 + -41131/24. Let f(i) be the third derivative of 5/24*i**4 + 13*i**2 + 0*i + 1/8*i**5 + 1/168*i**7 + t*i**3 + 1/24*i**6 + 0. Factor f(c).
5*(c + 1)**4/4
Suppose -3*c**3 + 47*c - 17*c**3 + 2*c**5 - 29*c = 0. What is c?
-3, -1, 0, 1, 3
Factor -10 + 2/11*x**2 + 108/11*x.
2*(x - 1)*(x + 55)/11
Let r(b) be the first derivative of -b**5/3 + 5*b**4/6 + 5*b**3/3 - 37. Factor r(v).
-5*v**2*(v - 3)*(v + 1)/3
Let s = 266 + -260. Let d(l) be the first derivative of -4/5*l**2 + 11 + 12/5*l**3 + 36/25*l**5 + 0*l - 14/5*l**4 - 4/15*l**s. Determine i so that d(i) = 0.
0, 1/2, 1, 2
Factor -4*z - 32/5 - 2/5*z**2.
-2*(z + 2)*(z + 8)/5
Let x(q) be the second derivative of -30*q**2 - 1/20*q**4 + 2*q**3 + 6*q + 0. Factor x(c).
-3*(c - 10)**2/5
Let j = -48554/3 - -16188. Factor 0 - 2/3*z**5 + 0*z + 4/3*z**2 - j*z**3 + 8/3*z**4.
-2*z**2*(z - 2)*(z - 1)**2/3
Let f be 54/(-24) - (-1062)/88. Factor -8*b - f*b**2 - 50/11*b**3 - 16/11 - 8/11*b**4.
-2*(b + 2)**3*(4*b + 1)/11
Let y(z) = 6*z**2 - 42*z. Let k(q) = -19*q**2 + 125*q. Let i(a) = 2*k(a) + 7*y(a). Determine h, given that i(h) = 0.
0, 11
Let j(h) be the second derivative of h**4/4 + 6*h**3 + 111*h**2/2 + 7*h. Let f(r) = -1. Let z(a) = 3*f(a) + j(a). Factor z(b).
3*(b + 6)**2
Let w(f) be the third derivative of 37/240*f**5 + 44*f**2 - 17/240*f**6 - 1/12*f**4 - 1/6*f**3 + 0*f + 3/280*f**7 + 0. Let w(n) = 0. Calculate n.
-2/9, 1, 2
Let u(z) be the second derivative of z**9/30240 + z**8/13440 - z**7/2520 + 13*z**4/6 + 12*z. Let w(b) be the third derivative of u(b). What is h in w(h) = 0?
-2, 0, 1
Let k(j) be the third derivative of -1/150*j**5 + 0 + 0*j**4 + 0*j**3 + 0*j - 1/300*j**6 + 7*j**2. Factor k(w).
-2*w**2*(w + 1)/5
Let o(k) be the second derivative of -k**5/30 + 2*k**4/3 + 20*k**2 + k - 32. Let j(r) be the first derivative of o(r). Factor j(u).
-2*u*(u - 8)
Let z = -12/7 + 55/28. Let u(q) be the second derivative of 0 + 4*q - 1/12*q**4 + 1/20*q**5 - 1/12*q**3 + 1/60*q**6 - 1/84*q**7 + z*q**2. Factor u(m).
-(m - 1)**3*(m + 1)**2/2
Suppose 0 = -5*k - 14 - 1, 5*v = 2*k + 81. Let -v - 25*b - 5*b**2 - 46*b + 91*b = 0. What is b?
1, 3
Let q(c) = -4*c**5 + 23*c**4 + 3*c**3 - 19*c**2 + 23*c + 7. Let d(s) = -s**5 + 6*s**4 + s**3 - 5*s**2 + 6*s + 2. Let v(f) = -22*d(f) + 6*q(f). Factor v(j).
-2*(j - 1)**4*(j + 1)
Let l(c) = -184925*c**2 - 10100*c - 190. Let z(q) = -6849*q**2 - 374*q - 7. Let b(u) = -2*l(u) + 55*z(u). Solve b(s) = 0.
-1/37
Let i(t) be the first derivative of t**5 + 25*t**4/2 + 125*t**3/3 - 77. Determine c so that i(c) = 0.
-5, 0
Factor 36*c**2 + 2 + 1 - 40*c**2 + 1.
-4*(c - 1)*(c + 1)
Let y(l) be the third derivative of -1/180*l**6 + 6*l**2 + 0 + 1/36*l**4 + 0*l**3 + 0*l**5 + 0*l. Factor y(m).
-2*m*(m - 1)*(m + 1)/3
Factor 12/7 - 2/7*v**2 + 10/7*v.
-2*(v - 6)*(v + 1)/7
Factor -1/4*a**3 + 5/4 + 3/4*a**2 + 9/4*a.
-(a - 5)*(a + 1)**2/4
Solve 184/9*r**2 - 224/9 - 4/9*r**5 - 64/9*r**4 + 208/9*r - 100/9*r**3 = 0 for r.
-14, -2, 1
Suppose 0 = -89*s - 10*s. Factor 3/2*y**2 + 3*y + s.
3*y*(y + 2)/2
Suppose k = -4*s + 11, 9*s + 4*k = 6*k + 29. Factor -1/5*z**4 + 0 + 3/5*z**s + 0*z**2 - 4/5*z.
-z*(z - 2)**2*(z + 1)/5
Factor 3/7*t**5 - 249/7*t**2 - 243/7*t**3 + 0 - 75/7*t**4 - 12*t.
3*t*(t - 28)*(t + 1)**3/7
Let s be 2 + (-2)/4 + (-395)/(-10). Let v = s + -157/4. Let 3/4*a**4 + 3/4*a**2 - 3/4*a - 1/2 + v*a**3 = 0. Calculate a.
-1, 2/3
Solve 2/7*d**4 - 8/7*d**2 - 2/7*d**3 + 8/7*d + 0 = 0.
-2, 0, 1, 2
Let r be (-5)/((-7280)/122)*10. Let w = 1/52 + r. Factor 2/7*z - w*z**2 - 2/7*z**3 + 6/7.
-2*(z - 1)*(z + 1)*(z + 3)/7
Let n = -116 + 122. Suppose 7*i + i = -n*i. Factor -4/5*s - 2/5*s**2 + 2/5*s**3 + i.
2*s*(s - 2)*(s + 1)/5
Let n = -65 - -69. Let q(x) be the second derivative of 0*x**3 + 0 + 1/50*x**5 + 1/75*x**6 + 0*x**2 - 1/105*x**7 - 2*x - 1/30*x**n. Factor q(d).
-2*d**2*(d - 1)**2*(d + 1)/5
Let y(a) = -51*a**3 - 21*a**2 + 40*a + 10. Let b(u) = -20*u**2 - 5 - 12*u**2 + 26*u**3 - 5*u**2 - 20*u + 48*u**2. Let f(m) = 11*b(m) + 6*y(m). Factor f(d).
-5*(d - 1)*(d + 1)*(4*d + 1)
Solve -215*d**3 - 5*d**2 - 5*d + 220*d**3 + 3*d**4 + 2*d**4 = 0.
-1, 0, 1
What is t in 2/19*t**2 + 20/19*t + 18/19 = 0?
-9, -1
Let q(b) = -b**3 - 1234*b - 2472. Let d be q(-2). Find a, given that -2/3*a**4 + d*a**3 + 8/3*a + 0 - 6*a**2 = 0.
0, 1, 4
Let t(y) be the third derivative of -y**5/80 - 19*y**4/16 + 10*y**3 + 72*y**2 + 3. Suppose t(u) = 0. Calculate u.
-40, 2
Let o = 54 + -59. Let u be 1 + 2 + (o - -4) - 0. Find r, given that -4/9*r**u + 0 + 0*r - 2/9*r**3 = 0.
-2, 0
Let u(x) be the second derivative of x**5/510 - x**4/6 + 17*x**3/3 - 24*x**2 - 9*x + 1. Let s(q) be the first derivative of u(q). Factor s(i).
2*(i - 17)**2/17
Let h(x) = x**2 + 4*x + 1. Let q be h(-3). Let j be (-2)/4 + (q - -4). Find a such that -j*a**2 + 3/2 + 0*a = 0.
-1, 1
Suppose q - 6 = -5*p, -3*q + 2*p = 6*p + 15. Let g = q + 13. Find h, given that 6*h**3 - 2*h**2 + g - 3*h - 3*h - 2*h**2 = 0.
-1, 2/3, 1
Let p(r) be the third derivative of r**7/1050 - 7*r**6/600 - 2*r**5/75 - 101*r**2. Factor p(y).
y**2*(y - 8)*(y + 1)/5
Let v(o) be the first derivative of o**3/5 - 18*o**2/5 + 12*o - 39. Find s such that v(s) = 0.
2, 10
Factor 27/2*y**2 - 1/2*y**4 + 2*y - 18 + 3*y**3.
-(y - 9)*(y - 1)*(y + 2)**2/2
Let a(u) be the third derivative of -3*u**7/140 - 7*u**6/80 + 3*u**5/20 - 97*u**2. Factor a(y).
-3*y**2*(y + 3)*(3*y - 2)/2
Factor -2*f + 1/3*f**2 - 24.
(f - 12)*(f + 6)/3
Let z(c) be the second derivative of c**6/150 - 7*c**5/100 + 3*c**4/20 + 7*c**3/30 - c**2 + 16*c - 1. Suppose z(b) = 0. Calculate b.
-1, 1, 2, 5
Find g, given that -9*g**3 + 19*g - g**3 + 56*g**2 + g - 2*g**3 = 0.
-1/3, 0, 5
Let z be 11*1 + (-30 + -75)/(-15). Let -z*d + 6 + 15/2*d**3 + 9/2*d**2 = 0. Calculate d.
-2, 2/5, 1
Let z(v) be the first derivative of -v**5/45 + v**4/9 - v**3/9 - 2*v**2/9 + 4*v/9 + 193. Factor z(n).
-(n - 2)**2*(n - 1)*(n + 1)/9
Let j(n) = -44*n**3 + 136*n**2 - 60*n - 260. Let b(f) = -f**4 - 2*f**2 + f - 1. Let r(i) = 4*b(i) - j(i). Factor r(o).
-4*(o - 4)**3*(o + 1)
Let y(z) be the first derivative of -8/5*z**3 - 3/5*z**4 + 12/5*z**2 - 2/5*z**6 + 45 - 6/5*z + 6/5*z**5. Find b such that y(b) = 0.
-1, 1/2, 1
Let c = 8 - 6. Suppose -176 = 6*s - 212. Find z such that -z**c - 3*z**3 - 4*z + z**4 + z**3 + s*z = 0.
-1, 0, 1, 2
Let h(f) be the first derivative of -9*f**6/2 - 666*f**5/5 - 1797*f**4/2 + 2316*f**3 + 5733*f**2/2 + 1014*f - 77. Determine k so that h(k) = 0.
-13, -1/3, 2
Determine n, given that -5*n - 12*n**2 + 0 + 1/4*n**5 - 3/2*n**4 - 35/4*n**3 = 0.
-2, -1, 0, 10
Let p(o) be the second derivative of o**5/5 + 7*o**4/3 + 8*o**3/3 - 24*o**2 - 70*o. Solve p(u) = 0.
-6, -2, 1
Factor 0 - 6*s**2 - 3/5*s**3 + 0*s.
-3*s**2*(s + 10)/5
Factor -4 - 1/3*t + 1/3*t**2.
(t - 4)*(t + 3)/3
Let b(y) = -y**3 - 15*y**2 + 78*y + 40. Let l be b(-19). What is j in 0*j**3 + 0*j + 0*j**4 + 0 - 2/7*j**5 + 0*j**l = 0?
0
Let w = 6 - -10. Suppose -6 = -h + c, 4*c - 16 - w = -4*h. Factor z**3 - 5 + 2*z - h*z + 0*z - z**2 + 2.
(z - 3)*(z + 1)