1)*(o + 6)
Factor 5/3*m**2 - 2 - 7/3*m + 1/3*m**4 + 7/3*m**3.
(m - 1)*(m + 1)**2*(m + 6)/3
Let j(r) = r**4 - r**2 - r. Let z(k) = -64*k**4 - 60*k**3 + 344*k**2 - 248*k + 24. Let l(v) = 4*j(v) - z(v). Solve l(g) = 0 for g.
-3, 2/17, 1
Let w = 42 - 40. Factor -5*j**w + 8*j - 3*j + 0 + 10.
-5*(j - 2)*(j + 1)
Let p(c) = c**3 + 21*c**2 + 17*c - 19. Let b be p(-20). Suppose -4*a**3 - 28*a**2 - 4 - 60*a + 9 - b = 0. What is a?
-3, -1
Let f be (10/24)/(22/(-308)*-35). Factor -1/6 + 1/6*k + 1/6*k**2 - f*k**3.
-(k - 1)**2*(k + 1)/6
Let j be (32/4)/(-4)*-2. Let i be (-6)/j*4/(-3). Factor 5*b + b**3 + 12*b**i + 3*b + 0*b**3 + 3*b**3.
4*b*(b + 1)*(b + 2)
Let l(p) be the third derivative of 1/30*p**5 - 1/12*p**4 - 1/180*p**6 + 8*p**2 + 0 + 1/9*p**3 + 0*p. Solve l(y) = 0.
1
Let f(v) be the second derivative of v**9/756 + v**8/420 - v**7/105 + v**3 + 25*v. Let i(d) be the second derivative of f(d). Determine o so that i(o) = 0.
-2, 0, 1
Suppose -4*w - 25*w = 2*w - 124. Suppose 14/11*t**3 - 2/11*t**2 - 6/11*t**w - 14/11*t + 8/11 = 0. What is t?
-1, 1, 4/3
Let r(p) be the first derivative of -p**6/2 - 12*p**5/5 + 16*p**3 + 24*p**2 - 119. Determine a so that r(a) = 0.
-2, 0, 2
Let q be 1*(2/(-8) + 867/(-68)). Let l(p) = p**2 + 14*p + 13. Let d be l(q). Find j, given that d + 21/4*j**4 + 15*j**2 - 3*j - 69/4*j**3 = 0.
0, 2/7, 1, 2
Let g(s) be the third derivative of -s**5/100 + 3*s**4/40 - s**3/5 + 10*s**2. Factor g(q).
-3*(q - 2)*(q - 1)/5
Factor -20*c**2 - 3 + 3 + 10*c**3 + 7120*c**4 - 7115*c**4 - 40*c.
5*c*(c - 2)*(c + 2)**2
Let l(d) = -d**3 + 5*d**2 + 7*d - 3. Let v be l(6). Determine h so that -20*h**2 - 35*h**v + 17*h**4 - 42*h**4 - 25*h**3 = 0.
-2, -2/5, 0
Let s(k) be the first derivative of -k**4/20 - k**3/5 + 4*k/5 + 15. Determine r, given that s(r) = 0.
-2, 1
Let s(f) be the third derivative of f**8/84 - f**6/30 - 2*f**2 - 3*f. Let s(o) = 0. Calculate o.
-1, 0, 1
Factor 4*b**3 - 133 + 4*b**2 - 83 + 12*b + 20*b**2 + 4*b**2 + 12*b**2.
4*(b - 2)*(b + 3)*(b + 9)
Solve -3/8*p**3 + 0 - 1/8*p**4 + 0*p**2 + 0*p = 0.
-3, 0
Determine k so that -27*k**2 - 39*k**2 - 27*k**2 + 12*k**3 + 48 + 87*k**2 - 2*k**4 - 52*k = 0.
-2, 1, 3, 4
Suppose 2*k + a - 1 = 3, 2*a + 4 = 0. Suppose y**3 + 2*y + 7*y**2 - 11*y**2 + 3*y + k - 5 = 0. What is y?
1, 2
Let a(p) be the third derivative of -1/30*p**6 + 1/84*p**8 + 7*p**2 + 4/105*p**7 + 0*p**3 + 0 + 0*p - 2/15*p**5 + 0*p**4. Factor a(k).
4*k**2*(k - 1)*(k + 1)*(k + 2)
Let g(q) = 0 + 8 + 9 - 11*q + 3*q**2. Let k(t) = -t**2 + 4*t - 6. Let w = 13 - 7. Let b(i) = w*g(i) + 17*k(i). Factor b(y).
y*(y + 2)
Factor 36/7*k + 5*k**2 + 0 - 1/7*k**3.
-k*(k - 36)*(k + 1)/7
Solve 4199 - 4199 + 8*y - 20*y**2 = 0.
0, 2/5
Let m(d) be the third derivative of d**5/10 + d**4/2 - 2*d**3/3 - 3*d**2. Let k(t) = t**2 + t - 1. Let o(x) = 4*k(x) + m(x). Suppose o(y) = 0. What is y?
-2, 2/5
Let m(p) be the third derivative of p**5/210 + 32*p**4/21 + 4096*p**3/21 - 87*p**2. Factor m(i).
2*(i + 64)**2/7
Let p be (-3404)/(-222) + (-13 - -1). Find f, given that 0 - 4/3*f - p*f**2 + 2*f**4 + 8/3*f**3 = 0.
-2, -1/3, 0, 1
Let z = -250 + 137. Let p = 125 + z. Factor p*f - 21/4*f**4 + 57/4*f**3 + 3/4*f**5 - 75/4*f**2 - 3.
3*(f - 2)**2*(f - 1)**3/4
Let i(y) = -2*y**2. Let p(l) = -l**4 - 8*l**3 - 18*l**2 - 24*l - 9. Let f(b) = 2*i(b) + p(b). Factor f(q).
-(q + 1)**2*(q + 3)**2
Factor 12 + 25/2*b**2 - 97/4*b - 1/4*b**3.
-(b - 48)*(b - 1)**2/4
Find a, given that 9/4 - 3/4*a**2 + 3/2*a = 0.
-1, 3
Factor -5*o**4 - 2169*o**3 + 1909*o**3 - 4021*o**2 + 641*o**2.
-5*o**2*(o + 26)**2
Let r be ((-392)/7)/(-8) - (2 - -1). Let x(b) be the second derivative of -1/12*b**4 + 0 + 1/3*b**3 + r*b + 0*b**2. Factor x(j).
-j*(j - 2)
Let i(l) be the first derivative of 2*l**5/5 - 49*l**4 + 4994*l**3/3 - 4704*l**2 + 4608*l - 113. Let i(c) = 0. Calculate c.
1, 48
Let w = 19 + -19. Factor 10*x + w*x**2 + 2 + x**2 - 7*x.
(x + 1)*(x + 2)
Let q(l) be the third derivative of 0*l - 8*l**6 - 2/3*l**7 - 27*l**2 + 0*l**3 + 35/48*l**8 + 0 - 10/3*l**4 + 28/3*l**5. Solve q(p) = 0 for p.
-2, 0, 2/7, 2
Let r(g) be the second derivative of 0*g**4 + 1/10*g**6 + 4*g + 0*g**3 - 1/7*g**7 + 0*g**2 + 0 + 3/20*g**5. Factor r(w).
-3*w**3*(w - 1)*(2*w + 1)
Let v(j) be the second derivative of -5/12*j**4 - 2*j + 0*j**2 + 1/4*j**5 - 5/3*j**3 + 0. Factor v(d).
5*d*(d - 2)*(d + 1)
Let l(p) = -p**3 - p**2 + 2*p + 44. Let z be l(0). Factor z*u**4 - 40*u + 15*u**2 - 26*u**4 + 20 - 23*u**4 + 10*u**3.
-5*(u - 2)*(u - 1)**2*(u + 2)
Let f(x) be the first derivative of 1/180*x**6 + 1/3*x**4 - 7*x + 8/9*x**3 + 14 + 4/3*x**2 + 1/15*x**5. Let r(u) be the first derivative of f(u). Factor r(o).
(o + 2)**4/6
Find g such that 3/2*g**3 - 9/2*g**2 + 0 + 3*g = 0.
0, 1, 2
Factor 13*w**3 - 3*w**3 - 686 + 299*w - 42*w**2 + w - 8*w**3 - 6*w.
2*(w - 7)**3
Let n(i) = 20*i**2 + 6*i. Let l(r) be the second derivative of -r**4/12 - 6*r - 2. Let c(h) = -44*l(h) - 2*n(h). Solve c(w) = 0 for w.
0, 3
Suppose -26*j = -12 - 144. Let o(m) be the first derivative of 0*m**2 + 0*m**4 + 0*m + 2/25*m**5 - 1/15*m**j + 0*m**3 + 5. Factor o(r).
-2*r**4*(r - 1)/5
Let t(j) be the first derivative of -24*j + 4/3*j**3 + 2*j**2 + 14. Factor t(f).
4*(f - 2)*(f + 3)
Factor 5/3*r**4 - 34/3*r - 1/6*r**5 + 4 + 37/3*r**2 - 13/2*r**3.
-(r - 3)*(r - 2)**3*(r - 1)/6
Let u = 3067/8 - 383. Let s(i) be the first derivative of 1/4*i**2 + 3/2*i**3 - 3/2*i + u*i**4 - 8 - 1/5*i**5. Solve s(v) = 0 for v.
-1, 1/2, 3
Factor -6/17*m**2 + 182/17*m + 124/17.
-2*(m - 31)*(3*m + 2)/17
Let l(i) be the third derivative of 11*i**2 - 1/12*i**5 + 5/8*i**4 + 0*i**3 + 0 - i. Factor l(b).
-5*b*(b - 3)
Let l(a) = -3*a**5 + 15*a**4 + a**3 - 5*a**2 - 13*a. Let t(q) = -2*q**5 + 8*q**4 - 2*q**2 - 7*q. Let y(b) = -3*l(b) + 5*t(b). Determine z, given that y(z) = 0.
-4, -1, 0, 1
Let n(h) be the first derivative of 0*h**2 + 1/10*h**6 - 3/20*h**4 - 2 - 3/25*h**5 + 1/5*h**3 + 0*h. Factor n(r).
3*r**2*(r - 1)**2*(r + 1)/5
Suppose 3*o + 5*y = 49, -3*y + 10 + 5 = 0. Let -10*r**2 - 12 - 8*r + 4 - o*r - 23*r**3 + 21*r**3 = 0. Calculate r.
-2, -1
Let t(w) = 18*w**4 - 6*w**3 - 28*w**2 - 34*w + 10. Let p(j) = -6*j**4 + 2*j**3 + 10*j**2 + 11*j - 3. Let g(o) = -10*p(o) - 3*t(o). Let g(z) = 0. Calculate z.
-1, -2/3, 0, 2
Let m(j) = j**3 + j**2 - j - 5. Let p(a) = a**2 - a - 1. Let o(i) = -m(i) + 4*p(i). Determine h so that o(h) = 0.
1
Solve -3*h**2 + 60*h - 453 - 478 + 1063 = 0 for h.
-2, 22
Determine a, given that 0 - 2/23*a**2 + 66/23*a = 0.
0, 33
Factor -2/7*b**2 - 28*b - 686.
-2*(b + 49)**2/7
Let g = -25 + 31. Find j such that -j**2 - 5*j + 3*j + 7*j + g*j**2 = 0.
-1, 0
Suppose 5*x = b - 50, -2*b - 12 = 3*x + b. Let h be (32/(-8))/(12/x). Factor 4*c**5 - 18*c**2 - 16*c + 12*c**h + 17*c**4 - c**4 + 2*c**2.
4*c*(c - 1)*(c + 1)*(c + 2)**2
Let z(v) be the second derivative of v**7/2520 - v**5/120 - 4*v**4/3 + 10*v. Let b(x) be the third derivative of z(x). Let b(n) = 0. Calculate n.
-1, 1
Let k(q) be the third derivative of 0*q**3 + 0 + 1/48*q**4 + 1/105*q**7 + 6*q**2 + 1/672*q**8 + 1/40*q**6 + 1/30*q**5 + 0*q. Factor k(x).
x*(x + 1)**4/2
Let z = 472 + -472. Let i(n) be the third derivative of z*n + 0 + 1/60*n**4 + 0*n**3 + n**2 + 1/150*n**5. Factor i(h).
2*h*(h + 1)/5
Suppose 0 = -2*s - c + 3, 0*c - 30 = 5*s - 5*c. Let g be 5 - (2 - s)/3. Factor 2 - x**5 + 0*x**3 - 3*x + 2*x**2 - g*x**2 + 4*x**3 + 0*x**2.
-(x - 1)**3*(x + 1)*(x + 2)
Let x(l) be the first derivative of 0*l**2 + 0*l - 3/4*l**4 + 3/10*l**5 + 1/2*l**3 + 23. Find s, given that x(s) = 0.
0, 1
Let t be 8/(-5)*(-30)/54. Let n = -2965 + 26735/9. Let 8/9*l - t*l**2 - n*l**3 + 0 + 50/9*l**4 = 0. What is l?
-2/5, 0, 2/5, 1
Let j(b) be the third derivative of 0*b + 0*b**3 + 5*b**2 + 0 - 8/105*b**7 + 1/15*b**5 + 1/10*b**6 + 0*b**4. Find s, given that j(s) = 0.
-1/4, 0, 1
Let l be 2*1*(0 - (6 - 7)). Let n be (-4)/(-28) - l/(-7)*10. Let -1/2*h**4 - n*h**2 + 2*h + 4 - 5/2*h**3 = 0. Calculate h.
-2, 1
Let s(q) be the second derivative of -q**4/30 + 4*q**3/3 - 19*q**2/5 + 8*q. Find w, given that s(w) = 0.
1, 19
Suppose 3*b + 618 = -g + 123, 2*g + 990 = 4*b. Let q be (-1920)/g - (-4)/6. Solve 0*y**2 + q*y**5 + 0*y + 40/11*y**4 + 8/11*y**3 + 0 = 0 for y.
-2/5, 0
Let f(z) be the first derivative of -z**6/720 - 2*z**3 + 27. Let j(c) be the third derivative of f(c). Det