- 19/135*b**6. Solve a(p) = 0.
-8, 0, 2/5
Let l(d) be the third derivative of 0*d**3 + 1/6*d**5 + 1/8*d**4 + 1/336*d**8 + 0*d + 0 + 1/10*d**6 + 17*d**2 + 1/35*d**7. Let l(r) = 0. What is r?
-3, -1, 0
Let x(m) = -m**3 - 14*m**2 - 14*m + 6. Let p be x(-13). Let h = -1 + 4. Let 4*d**2 - 4*d**4 - 12*d - 15*d + p*d + 8*d**h = 0. What is d?
-1, 0, 1, 2
Let h(w) = -w**3 - 4*w**2 + 5*w + 3. Let z be h(-5). Let u = -1 + z. Factor -7*d - 3*d + u*d**2 + 18 - 2*d.
2*(d - 3)**2
Let x(z) = -6*z**5 + 15*z**4 - 5*z**2 - 5*z - 5. Let v(f) = -f**5 - f**2 - f - 1. Let k(j) = -5*v(j) + x(j). Factor k(l).
-l**4*(l - 15)
Factor 0*g + 0 + 40/3*g**2 + 2*g**3 - 1/3*g**4.
-g**2*(g - 10)*(g + 4)/3
Let u(r) = -3*r**2 + 7*r. Let i(k) = -2*k**2 + 6*k. Let p(o) = -4*i(o) + 3*u(o). Let z be p(0). Solve -1/4*j**4 + z*j**2 + 1/4*j**3 + 0*j + 0 = 0 for j.
0, 1
Let j(g) = 180*g - 32*g**2 + 42*g**2 + 107 + 73. Let m(b) = -b**2 - 20*b - 20. Let a(i) = -4*j(i) - 35*m(i). What is o in a(o) = 0?
-2
Suppose 4*t - 11 = -t - 4*y, 16 = 4*t - 4*y. Let z(b) be the first derivative of 9/4*b**2 + 2 + 1/2*b**t + 0*b. Solve z(l) = 0.
-3, 0
Suppose -2*y = -6 + 2. Let w = 389 - 295. Factor 4 - 2 - o**4 - 97*o + w*o + 3*o**3 - o**2 + 0*o**y.
-(o - 2)*(o - 1)**2*(o + 1)
Let r = -45 - -41. Let i be (r - ((-51)/5 - -3)) + -3. What is s in 1/5*s**2 + 2/5*s**3 + 0 + 0*s + i*s**4 = 0?
-1, 0
Let -3*x**2 - 42*x - 4*x**2 - 98*x + 20*x**2 - 142 - 11*x**2 = 0. Calculate x.
-1, 71
Let k(u) be the first derivative of -u**5/120 - u**4/12 - u**3/4 - u**2 - 11. Let c(b) be the second derivative of k(b). Factor c(j).
-(j + 1)*(j + 3)/2
Factor 0 + 2/15*v**4 - 4/15*v + 4/15*v**3 - 2/15*v**2.
2*v*(v - 1)*(v + 1)*(v + 2)/15
Let w(j) be the third derivative of -1/6*j**4 + 18*j**2 + 0*j + 0 + 1/30*j**5 + 1/3*j**3. Solve w(y) = 0 for y.
1
Suppose 0 = 58*u + 12 - 592. Let q(z) be the first derivative of -z - 1/10*z**5 + 1/2*z**3 + 1/4*z**2 + u - 1/8*z**4. Factor q(o).
-(o - 1)**2*(o + 1)*(o + 2)/2
Let l(c) be the second derivative of -c**4/42 + c**3/3 + 8*c**2/7 + 28*c. Determine s, given that l(s) = 0.
-1, 8
Let i(l) be the first derivative of -8*l + 2*l**3 + 9/2*l**4 - 8*l**2 - 20. Factor i(r).
2*(r - 1)*(3*r + 2)**2
Let l(z) be the third derivative of z**6/160 - 3*z**5/10 + 21*z**4/8 - 10*z**3 + 19*z**2 - z. Factor l(y).
3*(y - 20)*(y - 2)**2/4
Let c(x) = x**2 + 798*x + 3968. Let k be c(-5). Find b, given that 0*b**k + 0*b - 1/4*b**4 + 1/4*b**5 + 0*b**2 + 0 = 0.
0, 1
Let y = 2 + 2. Let a(g) = -53*g + 59 - 58*g + 38*g**2 + 11 + 41*g - 14*g**3. Let p(n) = 5*n**3 - 13*n**2 + 23*n - 23. Let t(x) = y*a(x) + 11*p(x). Factor t(l).
-(l - 3)**3
Let z be (177/9 - 7) + -12. Solve 4/3*i**2 - z*i**3 + 2/3*i - 4/3 = 0.
-1, 1, 2
Let s(h) be the first derivative of -h**6/15 + 13*h**5/25 - 8*h**4/5 + 37*h**3/15 - 2*h**2 + 4*h/5 - 355. Solve s(p) = 0 for p.
1/2, 1, 2
Suppose -2*j + 4 = -0*j + 3*x, -8 = -4*j - 4*x. Let z be j/4 + (-140)/(-40). Factor -6/7*u**z + 4/7*u**2 - 2/7*u**5 + 6/7*u + 2/7 - 4/7*u**3.
-2*(u - 1)*(u + 1)**4/7
Let y(u) be the third derivative of u**5/15 - 2*u**4 - 15*u**2 + 1. Factor y(h).
4*h*(h - 12)
Let x(q) = -2*q + 15. Suppose i = -5, 0 = 4*j + i - 0*i - 19. Let b be x(j). Factor -b*z**3 + z**5 + 2*z**4 - 3*z**4 - 2*z**3 + 4 + 8*z + z**2.
(z - 2)**2*(z + 1)**3
Let r(p) be the first derivative of -121*p**4 - 2596*p**3/3 - 448*p**2 - 80*p + 44. Factor r(x).
-4*(x + 5)*(11*x + 2)**2
Let f be 2/(-3)*(-9)/3. Let t be (-90)/12*f/(-3). Factor 5*h**5 + 3*h + 5*h**2 - t*h**5 + h**2 - 6*h**4 - 3*h**5.
-3*h*(h - 1)*(h + 1)**3
Let j(c) = 2*c**3 + 27*c**2 - 18*c - 16. Let a be j(-14). Let n(i) = -i**3 - i. Let d(y) = -9*y**3 - y - 6. Let s(w) = a*n(w) - 5*d(w). Factor s(l).
5*(l - 2)*(l - 1)*(l + 3)
Let x be 150/5 + (0 - -1). Let j = x - 15. Suppose -4*p**4 - 8*p**4 - 20*p + j*p**3 + 4*p**5 + 8 + 8*p**2 - 4*p**4 = 0. What is p?
-1, 1, 2
Let o(h) = -9*h - 141. Let n be o(-16). Factor -4/5 - 6/5*l + 4/5*l**n + 6/5*l**2.
2*(l - 1)*(l + 2)*(2*l + 1)/5
Find o such that 6/5*o**2 - 4/5 - 2/5*o**4 - 2/5*o**3 + 2/5*o = 0.
-2, -1, 1
Suppose -49*k = -i - 50*k, 4*i = -k + 9. Let o(z) be the first derivative of -3/2*z**2 - 3*z**i + 9*z - 11 + 3/4*z**4. Factor o(j).
3*(j - 3)*(j - 1)*(j + 1)
Let b(v) be the first derivative of -1/10*v**4 - 32 + 0*v + 1/10*v**2 + 3/50*v**5 - 1/6*v**3. Let b(h) = 0. What is h?
-1, 0, 1/3, 2
Let m(p) be the first derivative of -p**5/40 + 13*p**4/32 - 17*p**3/8 + 67*p**2/16 - 7*p/2 - 750. Determine j so that m(j) = 0.
1, 4, 7
Let h(n) be the third derivative of 0*n**6 + 0*n**4 + 0*n**3 - 1/280*n**7 + 1/20*n**5 + 8*n**2 + 0 + 0*n. Factor h(m).
-3*m**2*(m - 2)*(m + 2)/4
Let k be ((-9)/(-6))/((-2)/(-4)). Factor 5*f**3 - 130*f + 8*f**2 - 3*f**k + 4 + 140*f.
2*(f + 1)**2*(f + 2)
Determine z so that 0*z - 42/5*z**3 - 72/5*z**2 + 0 - 6/5*z**4 = 0.
-4, -3, 0
Suppose -4*a + 3*n + 45 = -2*a, -3*n - 135 = -5*a. Find w, given that -69*w - 1 - 3*w**3 - 6*w + 1 + a*w**2 = 0.
0, 5
Suppose -2*v + m = -0*m - 1, 5*v + 5 = 5*m. Let o(r) be the first derivative of 7 - 1/2*r**3 - 3/4*r**v + 1/4*r**4 + r. Factor o(s).
(s - 2)*(s + 1)*(2*s - 1)/2
Let b be 28/98*7/1. Let s(c) be the second derivative of 0 + 12/7*c**4 - 6/7*c**5 - 16/21*c**3 + 2/15*c**6 + 4*c + 0*c**b. Factor s(t).
4*t*(t - 2)**2*(7*t - 2)/7
Factor -3*g + 2*g**2 - 1/4*g**3 + 0.
-g*(g - 6)*(g - 2)/4
Let m be -6*((-50)/(-30) + -6 + 4 + 0). Solve 2/9*w**3 - 2/9*w**m + 0*w + 0 = 0 for w.
0, 1
Let v = -164 - -168. Let r(l) be the third derivative of l**3 - 1/60*l**6 + 0*l + 4*l**2 - 7/12*l**v + 1/6*l**5 + 0. Find m such that r(m) = 0.
1, 3
Let a(s) = 3*s**2 - 6*s + 32. Let i(v) = 8*v**2 - 13*v + 64. Let m(c) = 20*a(c) - 8*i(c). Factor m(d).
-4*(d - 4)*(d + 8)
Suppose 4*p = p - 15. Let b(l) = l + 11. Let z be b(p). Find m such that -2 + 0*m**3 - m**2 - 8*m**4 + 2 - z*m**3 = 0.
-1/2, -1/4, 0
Let f(z) be the third derivative of 0*z**3 - 1/48*z**4 - 1/240*z**5 + 0*z - 3*z**2 + 0. Determine q so that f(q) = 0.
-2, 0
Let 3/8*c**5 + 951/8*c**3 - 288*c + 156*c**2 + 0 + 51/4*c**4 = 0. Calculate c.
-16, -3, 0, 1
Solve -2*d + 2176 + 2168 - 4347 + d**2 = 0 for d.
-1, 3
Let g be ((-32)/(-6) + -5)/((-2)/(-18)). Let t be (-4)/(-18) - (11396/(-882) - -13). Solve 0 + 1/7*q - t*q**g + 0*q**2 = 0 for q.
-1, 0, 1
Let u = -210 - -214. Let q(c) be the second derivative of 1/66*c**u + 0 + 8*c + 16/11*c**2 - 8/33*c**3. Factor q(n).
2*(n - 4)**2/11
Let v(y) = -y**2 + 12*y + 13. Let l be v(13). Let b(o) be the second derivative of -1/10*o**5 + l*o**3 + 1/2*o**2 - 2*o - 1/4*o**4 + 0. Factor b(r).
-(r + 1)**2*(2*r - 1)
Let r be (-9)/(-15) + 34/10. Factor 3*j**3 - 4*j - 88*j**4 + j - 9*j**2 + 6 + 46*j**4 + 45*j**r.
3*(j - 1)**2*(j + 1)*(j + 2)
Factor -39/2*n - 3/2*n**3 + 9 + 12*n**2.
-3*(n - 6)*(n - 1)**2/2
Let p(l) be the first derivative of l**5/35 + 3*l**4/28 + 2*l**3/21 + 1. Factor p(o).
o**2*(o + 1)*(o + 2)/7
Let c(h) be the first derivative of -h**5 - 1 + 0*h - 5*h**3 - 45/2*h**2 + 25/4*h**4. Factor c(g).
-5*g*(g - 3)**2*(g + 1)
Let w(y) = 2*y**5 - 6*y**4 - 5*y**3 + 3*y**2 + 3. Let u(r) = -r**3 - r**2 + 1. Let q(f) = -6*u(f) + 2*w(f). Solve q(b) = 0 for b.
-1, 0, 1, 3
Let -31*f - 25*f + 12*f - 3 + 3 - 4*f**2 = 0. Calculate f.
-11, 0
Suppose 2*b = 5 - 1. Suppose -3*l + 5 = -b*l + r, 4*l = -3*r + 17. Factor 3 - 3 + 72*n**3 + 48*n**4 + 27*n**l + 3*n.
3*n*(n + 1)*(4*n + 1)**2
Let o(q) be the second derivative of -3*q**5/140 - 19*q**4/84 + q**3 + 8*q**2/7 + 64*q + 3. Suppose o(x) = 0. What is x?
-8, -1/3, 2
Factor -97 + j**2 + 187 - 89 - 2*j.
(j - 1)**2
Let y(n) be the first derivative of 0*n + 2*n**3 + 15 + 0*n**2 - 3/5*n**5 + 3/4*n**4. Factor y(z).
-3*z**2*(z - 2)*(z + 1)
Let x(h) = 5*h**4 - 8*h**3 + 7*h**2 - 4*h. Let m(n) = -10*n**4 + 16*n**3 - 15*n**2 + 9*n. Let g(f) = -6*m(f) - 13*x(f). Factor g(d).
-d*(d - 1)**2*(5*d + 2)
Let m(i) = -i**2 - 9*i - 3. Let u(h) = -h**2 - 17*h - 5. Let w be -5*(-5)/(3 + 2). Let l(v) = w*m(v) - 3*u(v). What is d in l(d) = 0?
0, 3
Let c(s) be the third derivative of 49*s**6/320 + 77*s**5/160 + s**4/2 + s**3/4 - 50*s**2. Let c(a) = 0. Calculate a.
-1, -2/7
Let d = -26 - -30. Let f(j) = -2*j**2 - 6*j. Let l(a) be the second derivative of a**4/6 + 7*a**3/6 + a**2/2 + a. Let x(p) = d*l(p) + 5*f(p). Factor x(i).
-2*(i - 1)*(i + 2)
Let p(o) be the first derivative o