 - -9) + -1 - 10. Factor 0 - 6/11*c**2 + 2/11*c**4 - 4/11*c + 0*c**p.
2*c*(c - 2)*(c + 1)**2/11
Let i(p) = p**3 + 7*p**2 + p + 5. Let c be i(-7). Let f be 1/c*(-5)/((-50)/(-4)). Determine h so that -1/5*h**2 + 1/5*h**3 - 1/5*h + f = 0.
-1, 1
Let r(f) be the third derivative of 1/24*f**4 + 0 + 0*f - 10*f**2 + 1/36*f**3 + 1/45*f**5. Factor r(x).
(2*x + 1)*(4*x + 1)/6
Let n(f) = f**3 - 14*f**2 - 2*f + 33. Let z be n(14). Find b, given that 2*b**2 + z*b**2 - 6*b**2 - 2*b**2 - 4 + 5*b = 0.
1, 4
Let p = -191 - -193. Let b(w) be the third derivative of 1/50*w**5 + 0 + 0*w + 0*w**3 + 3*w**p + 3/40*w**4 + 1/600*w**6. Find h, given that b(h) = 0.
-3, 0
Let b = -50 - -3051/61. Let o = 303/122 + b. Suppose 0 - o*d**4 + 23/3*d**3 - 6*d**2 + 4/3*d = 0. What is d?
0, 2/5, 2/3, 2
Let f(z) = 2*z + 22. Let i be f(-9). Determine b, given that -5*b**2 - 3*b**3 + i*b**2 - 3*b**2 + 4*b + 4*b**4 - b**3 = 0.
-1, 0, 1
Let m(z) be the second derivative of z**6/45 + 11*z**5/30 + 5*z**4/9 + 55*z - 1. Let m(a) = 0. What is a?
-10, -1, 0
Let b(p) be the third derivative of p**6/540 + 7*p**5/270 + 11*p**4/108 + 5*p**3/27 + 31*p**2. Factor b(x).
2*(x + 1)**2*(x + 5)/9
Let z(x) be the first derivative of 3/5*x**5 - 5*x**3 - 9/2*x**2 + 12 - 3/4*x**4 + 0*x. Factor z(t).
3*t*(t - 3)*(t + 1)**2
Factor -16*x + 59 + 4*x**2 + 2*x - 3*x**2 - 10.
(x - 7)**2
Let u(f) be the third derivative of 0*f + 26*f**2 + 0*f**4 + 0 - 1/24*f**6 + 0*f**3 + 1/84*f**7 + 0*f**5. Factor u(k).
5*k**3*(k - 2)/2
Factor -19*p + 4*p**4 + 104 - 193*p + 7*p + 228*p**2 - 68*p**3 - 63*p.
4*(p - 13)*(p - 2)*(p - 1)**2
Let g = 58 - 55. Let d = 52 + -152/3. Factor -5/3*u**2 - 1/3*u + 0 - d*u**g.
-u*(u + 1)*(4*u + 1)/3
Let x(z) be the first derivative of 75*z**4/4 + 52*z**3 + 87*z**2/2 + 6*z - 20. Factor x(s).
3*(s + 1)**2*(25*s + 2)
Let i(l) be the first derivative of -l**6/30 - l**5/25 + 17*l**4/20 - 19*l**3/15 - 8*l**2/5 + 4*l + 27. Suppose i(f) = 0. Calculate f.
-5, -1, 1, 2
Let o = -20 + 25. Suppose -50*c**4 - 6*c**2 - 17*c + 41*c**4 + 15 + 0*c**2 - 10*c - 3*c**o + 30*c**3 = 0. Calculate c.
-5, -1, 1
Suppose 5*w + 10 = -5*p, 4*w + 9 = -p - 5. Let c = 0 + 0. Solve -2/5*x**p + c + 0*x = 0 for x.
0
Let q = 12 + -4. Suppose q*d**2 - 2*d**5 + 3*d**5 + 12 + 2*d - 4*d**3 - 4*d**4 + d**5 - 16 = 0. Calculate d.
-1, 1, 2
Suppose 0*o - 4*o = -44. Let k = -9 + o. Determine m so that -4*m + 1 + 5*m**2 - 3*m**2 + 0*m**k + 1 = 0.
1
Suppose -5*d = 4*w - 3*d - 16, 0 = 5*w - 4*d + 6. Factor -34*t - t - 45 + 5*t - 5*t**w.
-5*(t + 3)**2
Let s(j) be the second derivative of -1/5*j**5 + 0*j**2 + 1/2*j**4 - 9*j + 0 + 2/3*j**3. What is v in s(v) = 0?
-1/2, 0, 2
Let r(t) be the third derivative of -t**8/448 - t**7/35 - 13*t**6/160 - 3*t**5/40 - 75*t**2. Factor r(z).
-3*z**2*(z + 1)**2*(z + 6)/4
Suppose -5*d - 333 = 137. Let p be d/(-88) + (-1)/((-22)/4). Factor -3/4*v**5 + 0*v - p*v**3 - 1/4*v**2 - 7/4*v**4 + 0.
-v**2*(v + 1)**2*(3*v + 1)/4
Suppose -5*l - 7*l = -48. Let k(s) = 3*s**2 + 31*s + 103. Let o(m) = 3*m**2 + 32*m + 104. Let v(p) = l*k(p) - 5*o(p). Suppose v(h) = 0. What is h?
-6
Suppose -4*v - 2 = 10. Let w = v + 7. Solve 3*d**3 + d**5 + 5*d**5 + 2*d**4 + 7*d**w = 0.
-1, -1/2, 0
Let j(y) be the second derivative of -2*y**6/5 + 622*y**5/5 - 14352*y**4 + 666540*y**3 - 657018*y**2 + 17*y + 14. Factor j(d).
-4*(d - 69)**3*(3*d - 1)
Let w(q) = -26*q**2 + 10*q + 16. Let u(c) = -5*c**2 + 2*c + 3. Suppose 0 = -2*h + h + 3. Let i(m) = h*w(m) - 16*u(m). Factor i(v).
2*v*(v - 1)
Let a(l) be the first derivative of -l**5/5 - l**4/4 + 4*l**3 - 2*l**2 - 16*l + 163. Factor a(m).
-(m - 2)**2*(m + 1)*(m + 4)
Let w(t) be the third derivative of -t**6/30 + 43*t**5/60 + 115*t**4/24 + 13*t**3/3 + 120*t**2. Factor w(n).
-(n - 13)*(n + 2)*(4*n + 1)
Let z(v) = v - 2*v**4 + 6*v**3 + 3 - 1 - 8*v**2 + 2*v - v. Let o(r) = r**2 - 1. Let g(i) = 2*o(i) + z(i). Determine m so that g(m) = 0.
0, 1
Let j(m) = -m**2 + m + 3. Let h(u) = 8*u**2 + 92*u - 12. Let q(n) = h(n) + 4*j(n). Solve q(k) = 0 for k.
-24, 0
Let j(u) be the first derivative of -u**5/140 + u**4/84 + 5*u**3/21 + 4*u**2/7 + 45*u + 8. Let t(g) be the first derivative of j(g). Factor t(n).
-(n - 4)*(n + 1)*(n + 2)/7
Let x be (-33)/3 + 15 + 10/(-3). Let s(d) be the first derivative of 3*d + 10 - 7/2*d**2 + x*d**3. What is b in s(b) = 0?
1/2, 3
Let r(n) = n**3 + 2*n**2 - 2*n - 6. Let m be r(2). Factor 9/2*f**4 + 0*f + 0 + 0*f**3 - 3/2*f**5 - m*f**2.
-3*f**2*(f - 2)**2*(f + 1)/2
Suppose 4*k = 7*r - 2*r + 63, -12 = 4*r. Suppose -20*i + 414 = 3*i. Suppose i*j**3 - k*j**2 + 2*j + j + 3*j**5 + 0*j - 12*j**4 = 0. What is j?
0, 1
Let v be 0 + (0 - -2) - -1. Let r(b) = 2*b**3 + b**2 - 3. Let s(m) = -3*m**3 - 2*m**2 + m + 4. Let l(h) = v*s(h) + 4*r(h). Solve l(w) = 0.
-3, 0, 1
Let h(f) be the second derivative of -3*f**5/110 + f**4/6 - 5*f**3/33 - 3*f**2/11 - 86*f. Determine d so that h(d) = 0.
-1/3, 1, 3
Let n(d) be the first derivative of d**4/2 + d**3/2 - d**2/4 + 273. Factor n(q).
q*(q + 1)*(4*q - 1)/2
Suppose -3*s - 4*y + 3*y = -24, 0 = -5*s + 3*y + 40. Find z such that 5*z**2 + 13*z + s - z**2 - z = 0.
-2, -1
Let h(g) be the first derivative of 3/2*g**3 - 10 + 3/16*g**4 + 0*g + 15/8*g**2. Factor h(l).
3*l*(l + 1)*(l + 5)/4
Factor -3/7*z**2 + 2/7*z**3 + 0 + 0*z + 1/7*z**4.
z**2*(z - 1)*(z + 3)/7
Let q = 5510/7 + -793. Let a = 561/91 + q. Solve -18/13*d**2 + a - 2/13*d - 10/13*d**4 + 2*d**3 = 0.
-2/5, 1
Suppose 5*m = -4*q + 4*m + 7, -3*q - 5*m = -1. Factor 2*k**q - 6*k**3 - 10*k**3 + 14 + 4*k**3 + 2*k**4 + 18 + 48*k.
2*(k - 4)**2*(k + 1)**2
Let d(x) be the second derivative of 1/15*x**6 + 0*x**2 - 1/42*x**7 + 0*x**5 + 1/6*x**3 - 1/6*x**4 + 0 + 21*x. Factor d(k).
-k*(k - 1)**3*(k + 1)
Let p(z) be the first derivative of -33/2*z**2 + 357/16*z**4 - 6*z - 147/20*z**5 - 10 - 9/2*z**3. Suppose p(j) = 0. Calculate j.
-2/7, 1, 2
Factor 3*t - 8*t + 7*t + 5*t**3 - 7*t**3.
-2*t*(t - 1)*(t + 1)
Let r(l) be the second derivative of -8*l**7/105 - 12*l**6/25 - 97*l**5/100 - 3*l**4/5 - 2*l**3/15 - 82*l. Determine x so that r(x) = 0.
-2, -1/4, 0
Suppose 86*q - 172*q = -84*q - 6. Determine j, given that -2*j - 1/6*j**q + j**2 + 4/3 = 0.
2
Let l(g) be the second derivative of -g**9/10080 + g**7/1680 + 4*g**4/3 - 14*g. Let p(h) be the third derivative of l(h). Factor p(d).
-3*d**2*(d - 1)*(d + 1)/2
Let a(i) = -12*i**2 + 19*i - 11. Let k be 3/(-3 + -3)*-4. Let j(c) = -39*c**2 - k + 33*c**2 - 1 + 10*c - 3. Let t(v) = 6*a(v) - 11*j(v). Factor t(s).
-2*s*(3*s - 2)
Let c be 6/115 - (-12)/20. Let t = -6/115 + c. Factor 3/5*u**5 + 3/5*u**2 - 3/5*u**4 + 0*u - t*u**3 + 0.
3*u**2*(u - 1)**2*(u + 1)/5
Suppose -4*q - 22 = -66. Determine w, given that -5*w**2 - 10*w - 9*w - 17 - 28 - q*w = 0.
-3
Let k(z) be the first derivative of -5*z**4/4 + 10*z**3 + 5*z**2/2 - 30*z - 69. Factor k(v).
-5*(v - 6)*(v - 1)*(v + 1)
Factor 3/2*k**3 + 0 + 21*k - 45/2*k**2.
3*k*(k - 14)*(k - 1)/2
Let p(w) be the third derivative of -30*w**2 + 0*w**3 + 0 - 5/8*w**4 + 0*w - 3/10*w**5 - 1/40*w**6. Find c such that p(c) = 0.
-5, -1, 0
Let j(b) be the third derivative of 1/336*b**8 + 0 + 0*b**6 - 1/24*b**4 - 1/105*b**7 - b**2 + 0*b + 0*b**3 + 1/30*b**5. Factor j(c).
c*(c - 1)**3*(c + 1)
Let l be (16/(-6))/(38/(-76)). Let p(m) be the first derivative of 0*m - l*m**3 - 2/5*m**5 - 7 - 5/2*m**4 - 4*m**2. What is r in p(r) = 0?
-2, -1, 0
Let h(o) = 58*o + 932. Let l be h(-16). Let z(k) be the third derivative of -2*k**3 - 15/8*k**l + 1/5*k**5 + 0*k + 0 - 14*k**2. Factor z(f).
3*(f - 4)*(4*f + 1)
Suppose 8*x - 7*x - 106 = 0. Let l be x/(-35) + 3 - (-9)/15. Find p such that 22/7*p + 32/7*p**2 + l + 2*p**3 = 0.
-1, -2/7
Let q = -10274/15 - -685. Let n(g) be the second derivative of 1/50*g**5 - 1/5*g**2 - q*g**3 + 2*g + 0 + 1/30*g**4. Factor n(u).
2*(u - 1)*(u + 1)**2/5
Let o(q) be the third derivative of -q**6/900 - q**5/150 + q**3/6 - q**2 + 8. Let p(s) be the first derivative of o(s). Factor p(j).
-2*j*(j + 2)/5
Let l(g) be the third derivative of g**5/210 + 5*g**4/42 - 8*g**3/7 + g**2 - 53*g. Determine f so that l(f) = 0.
-12, 2
Let j(k) = 6*k**4 + 21*k**3 - 21*k**2 + 6*k - 6. Let x(f) = -11*f**4 - 44*f**3 + 41*f**2 - 12*f + 13. Let i(d) = 13*j(d) + 6*x(d). Factor i(p).
3*p*(p - 1)*(p + 2)*(4*p - 1)
Let q(u) be the second derivative of -3/8*u**2 + 0*u**3 + 1/16*u**