2 + 0 - 2*q**3 + 0*q - 1/180*q**5 + 1/6*q**4. Factor c(x).
-(x - 6)**2/3
Let x(c) = -2*c**3 + 2*c**2 - c - 1. Let y be x(-1). Let q(h) be the first derivative of 1/9*h**3 + 2/3*h**2 + y + 4/3*h. Find i such that q(i) = 0.
-2
Let j(b) be the first derivative of -2*b**3/15 - 12*b**2/5 - 14*b + 559. Factor j(s).
-2*(s + 5)*(s + 7)/5
Let q(j) be the second derivative of j**8/11200 + j**7/4200 - j**6/1200 - j**5/200 - 3*j**4/4 - 6*j. Let m(h) be the third derivative of q(h). Solve m(p) = 0.
-1, 1
Find g, given that -1/4*g**2 + 0*g + 0 + 1/8*g**3 = 0.
0, 2
Let q = -119/40 + 27/8. Let f be 33/(-110) - (-2)/4. Find p such that -3/5*p**2 + 0 + q*p + f*p**4 + 0*p**3 = 0.
-2, 0, 1
Suppose 3*c = 8*c - 5000. Factor -3*j**3 - 15*j**3 - 300*j - 30*j**2 - c + 17*j**3.
-(j + 10)**3
Let f(r) be the first derivative of -r**3/8 - 177*r**2/8 - 10443*r/8 + 172. Determine t, given that f(t) = 0.
-59
Suppose 0 = 17*f - 329 + 261. Factor 5*h - 21/4*h**2 - 1 - 1/2*h**3 + 7/4*h**f.
(h - 1)**2*(h + 2)*(7*h - 2)/4
Let x(a) be the second derivative of 0*a**2 + 0 + 1/60*a**4 - 1/10*a**3 + 19*a. Factor x(h).
h*(h - 3)/5
Factor 255/2*v + 1/8*v**4 + 157/8*v**2 + 289/2 - 15/4*v**3.
(v - 17)**2*(v + 2)**2/8
Let y be (-465)/21 - 4/(-28) - 5. Let t be (y/90)/(6/(-4)). Find d such that 1/5*d**2 + 0*d + 0 - t*d**3 = 0.
0, 1
Let b(i) be the second derivative of -i**4/48 - 25*i**3/24 - 33*i**2/4 + 2*i + 274. Factor b(m).
-(m + 3)*(m + 22)/4
Let y(i) be the second derivative of i**5/6 + 11*i**4/9 + 5*i**3/9 - 4*i**2 + 3*i + 21. Factor y(a).
2*(a + 1)*(a + 4)*(5*a - 3)/3
Factor 14/3*c**3 - 2/3*c**4 - 8/3 + 26/3*c - 10*c**2.
-2*(c - 4)*(c - 1)**3/3
Let w(b) be the second derivative of -b**6/330 + 2*b**5/55 - 5*b**4/33 + 8*b**3/33 + 30*b + 2. Factor w(j).
-j*(j - 4)*(j - 2)**2/11
Let a be 3/(-18) - (-23)/(-6). Let o(b) = -b**3 - 4*b**2 - 2*b - 5. Let d be o(a). Factor 0*h + 20*h**2 + d*h - 23*h**2.
-3*h*(h - 1)
Let o(h) be the third derivative of -h**5/12 + 125*h**4/24 - 115*h**3/3 + 3*h**2 + 12. Suppose o(x) = 0. What is x?
2, 23
Factor 2*x**2 - 120*x + 0*x**2 + 3*x**2 - 148 + 23.
5*(x - 25)*(x + 1)
Let z = -43528/3 - -14667. Let p = -157 + z. Determine s, given that 0*s + 0 - 4*s**3 - p*s**4 - 6*s**2 = 0.
-3, 0
Let g be (-1)/(24/(-34)) + 11/(-33)*2. Factor -6*z + g*z**2 + 12.
3*(z - 4)**2/4
Let z = -1/6897 - -103457/13794. Factor -z*t**2 + 0 - 9*t + 3/2*t**3.
3*t*(t - 6)*(t + 1)/2
Suppose -4*d = -20, -4*d - d + 15 = -2*k. Let f be (-30)/k*2/(-6). Factor -6 - 1 - g**3 + 6*g**f - g**3 - 1.
-2*(g - 2)**2*(g + 1)
Let n(b) be the third derivative of -b**5/20 - b**4/2 + 120*b**2. Factor n(c).
-3*c*(c + 4)
Suppose -68*w + 172 = -25*w. Let n(v) be the first derivative of 6/7*v + w + 3/2*v**4 + 16/7*v**3 + 1/14*v**6 + 18/35*v**5 + 27/14*v**2. Solve n(y) = 0 for y.
-2, -1
Let u(v) be the second derivative of 0*v**3 + 0 + 1/3*v**4 - 1/21*v**7 + 0*v**6 + 3/10*v**5 + 0*v**2 - 36*v. Factor u(n).
-2*n**2*(n - 2)*(n + 1)**2
Find a, given that -9 + 4*a**4 + 21/2*a - 1/2*a**5 - 10*a**3 + 5*a**2 = 0.
-1, 1, 2, 3
Let r(b) be the third derivative of b**6/156 - 19*b**5/195 + 19*b**4/156 + 14*b**3/39 + 36*b**2. Find x, given that r(x) = 0.
-2/5, 1, 7
Let n(c) = -4*c**3 + 19*c**2 - 23*c + 11. Let r(p) = -22*p**3 + 3*p**3 - 116*p - p**3 + 96*p**2 + 56. Let y(h) = -16*n(h) + 3*r(h). Factor y(o).
4*(o - 2)*(o - 1)**2
Let u(n) be the second derivative of n**5/5 - 2*n**4/3 + 78*n. Determine i, given that u(i) = 0.
0, 2
Let z be (2484/21 - 1)/(13/65). Let m = -585 + z. Let 2/7*r**2 + m*r + 8/7 = 0. Calculate r.
-4, -1
Let n(k) = -k**3 + 2*k**2 + 2*k. Let i(f) = -3*f**3 + 5*f**2 + 5*f. Let x(g) = 2*i(g) - 5*n(g). Find s, given that x(s) = 0.
0
Let j = 2 - 0. Suppose 2 = o - j. Let z(d) = -4*d**3 + 28*d**2 - 69*d + 36. Let p(m) = -2*m**3 + 14*m**2 - 34*m + 18. Let b(n) = o*z(n) - 9*p(n). Factor b(s).
2*(s - 3)**2*(s - 1)
Suppose -4*i = g + i + 16, -5*i = 5*g. Suppose -16 = -g*a - s, 3*s + 1 = -4*a + 9. Factor -5*h**3 + 0 - 15/2*h**2 + a*h.
-5*h*(h + 2)*(2*h - 1)/2
Let b(h) be the second derivative of -h**6/120 + h**5/80 + h**4/8 - h**3/6 - h**2 + 249*h. Determine u so that b(u) = 0.
-2, -1, 2
Let j(s) be the first derivative of -1/5*s**3 + 0*s + 3 - 3/20*s**4 + 0*s**2. Factor j(w).
-3*w**2*(w + 1)/5
Let q(c) be the first derivative of -c**5/12 - 5*c**4/12 + 9*c**2 - 8. Let d(s) be the second derivative of q(s). Suppose d(z) = 0. Calculate z.
-2, 0
Suppose -164*m - 78*m + 449 + 35 = 0. Factor 18/5*q + 3/5*q**m + 27/5.
3*(q + 3)**2/5
Suppose 22*s + 31 = 97. Factor 5/3*t**4 - 1/3*t**5 + 7/3*t**2 + 0 - 2/3*t - s*t**3.
-t*(t - 2)*(t - 1)**3/3
Let f = -122 + 124. Solve 24*x**2 + 2*x + f*x - x**3 - 26*x**2 - 3*x + 2 = 0 for x.
-2, -1, 1
Let b(f) be the first derivative of f**3/3 - 7. Let g(u) = -6*u**2 - 8*u - 16. Let y(x) = 10*b(x) + 2*g(x). Factor y(o).
-2*(o + 4)**2
Let s(i) be the second derivative of -1/36*i**4 - 3 + 5*i - i**2 + 5/18*i**3. Factor s(x).
-(x - 3)*(x - 2)/3
Solve -170/3*o**2 + 16*o + 0 + 7/3*o**3 = 0 for o.
0, 2/7, 24
Let l(f) be the second derivative of f**6/6 - 3*f**5/4 - 25*f**4/12 + 5*f**3/2 + 10*f**2 + 335*f. Factor l(i).
5*(i - 4)*(i - 1)*(i + 1)**2
Let j(t) = -5*t**2 + 13*t - 9. Let k(s) be the first derivative of 11*s**3/3 - 27*s**2/2 + 17*s - 35. Let w(a) = -14*j(a) - 6*k(a). Suppose w(c) = 0. What is c?
2, 3
Suppose 2 = -657*f + 665*f - 14. Find w, given that -4/3 - 2*w**f + 10/3*w = 0.
2/3, 1
Let n(p) be the first derivative of p**4/10 + 2*p**3/15 - 26*p**2/5 + 48*p/5 + 250. Factor n(d).
2*(d - 4)*(d - 1)*(d + 6)/5
Let t(m) be the second derivative of -m**9/13608 + m**7/1890 - m**5/540 - 23*m**3/6 - 36*m. Let b(u) be the second derivative of t(u). Factor b(n).
-2*n*(n - 1)**2*(n + 1)**2/9
Let h be 40/(-56)*(105/(-25) + 1). Find x such that -18/7*x**3 - 92/7*x - 94/7*x**2 - h = 0.
-4, -1, -2/9
Let d(c) = -70*c**3 + 138*c**2 - 77*c + 15. Let z(b) = -140*b**3 + 275*b**2 - 155*b + 30. Let n = 22 + -17. Let l(o) = n*d(o) - 3*z(o). Factor l(q).
5*(q - 1)*(2*q - 1)*(7*q - 3)
Let t(s) = s**3 - 26*s**2 + 2. Let x be t(26). Solve -2*g**3 - 173*g**5 + 175*g**5 - 3*g**2 + g**2 + x*g**4 = 0 for g.
-1, 0, 1
Find u such that -64 - 20*u**2 - 2*u**3 + 11*u - 77*u + 2*u = 0.
-4, -2
Let a(t) = 4*t**3 - 143*t**2 - 289*t - 154. Let i(n) = 4*n**3 - 144*n**2 - 288*n - 156. Let h(f) = -4*a(f) + 3*i(f). Factor h(c).
-4*(c - 37)*(c + 1)**2
Suppose 9 = 3*d, 30*g + d = 32*g - 5. Find i, given that -12/5*i**3 - 6/5*i**5 + 0*i + 0 + 3*i**g + 3/5*i**2 = 0.
0, 1/2, 1
Let p be (174/609)/(3/7). Let 8/3 - 8/3*o + p*o**2 = 0. Calculate o.
2
Let o(i) be the second derivative of -i**5/30 + 19*i**4/30 - 22*i**3/45 - 31*i - 6. Factor o(p).
-2*p*(p - 11)*(5*p - 2)/15
Let q(l) be the second derivative of l**7/168 - l**6/36 - l**5/6 + 5*l**4/3 + 19*l**3/6 + 12*l. Let m(j) be the second derivative of q(j). Factor m(d).
5*(d - 2)**2*(d + 2)
Let x(i) = -i**5 - i**3 - i - 1. Let q(a) = 7*a**5 + 2*a**4 + 13*a**3 - 6*a**2 + 8*a + 8. Let r(g) = -5*q(g) - 40*x(g). Factor r(c).
5*c**2*(c - 3)*(c - 1)*(c + 2)
Let t be (19/(1064/144))/(-2 - -1) + 3. Let 6/7 + 3/7*y - t*y**2 = 0. Calculate y.
-1, 2
Let u(l) = 2*l**3 - 3*l**2 - 5*l. Let j(a) = a**3 - a**2 - 2*a. Let b(h) = 3*j(h) - u(h). Determine s so that b(s) = 0.
-1, 0, 1
Let r(f) be the second derivative of 2/5*f**3 + 1/150*f**6 - 2/15*f**4 + 12*f + 0 + 0*f**2 - 1/100*f**5. Find d, given that r(d) = 0.
-3, 0, 2
Let c(g) = g + 4. Let j be c(-2). Solve 3*s - 3*s**j - 3*s**3 - 3 - 2 + 5 + 3*s**4 = 0.
-1, 0, 1
Let c be (6/21 + 4/(-14))/(-5). Factor -4/7*r**2 + 0 + c*r - 2/7*r**3.
-2*r**2*(r + 2)/7
Let v = -10728 + 10730. Let -3/4*z**4 - 3/4*z**3 + 0 + 3/4*z + 3/4*z**v = 0. Calculate z.
-1, 0, 1
Suppose 3*d + 16 = 2*g, -3*d - 14 = -2. Let s be (26/(-7) + 4)/(g/14). Solve -1/3*i**4 + 4/3*i**3 - 2*i**s + 4/3*i - 1/3 = 0 for i.
1
Let a be 8/(-2) - ((-341)/33 + 1). Find u such that 4*u - a + 4/3*u**2 = 0.
-4, 1
Let m be 0 + 5 + (-10 - 40/(-4)). Factor -4/3*a**m + 4/3*a + 8/3*a**4 - 8/3*a**2 + 0*a**3 + 0.
-4*a*(a - 1)**3*(a + 1)/3
Let q be (-6)/(-2) - (-20 - -19). Let k be q/(-6)*(116/(-20) + 4). Factor -1/5*u**5 - 4/5*u**2 - 1/5*u + 0 - k*u**3 - 4/5*u**4.
-u*(u + 1)**4/5
Let g(t) = t**3 - 7*t**2 - 5*t - 17. Let o be g(8). Suppose -o = -5*y - 9*j + 11*j, 4*y = -5*j + 32. Factor -2*m**y + 24/7*m + 18