l) be the third derivative of l**5/60 + l**4/8 + l**3/3 + 22*l**2. Determine t so that o(t) = 0.
-2, -1
Let z(p) = 4*p**3 - 3*p**2 - 6*p - 2. Let c(a) = -23*a**3 + 17*a**2 + 35*a + 12. Let g(r) = -6*c(r) - 34*z(r). Factor g(f).
2*(f - 2)*(f + 1)**2
Suppose 0 = -3*s + 5*s + 16. Let m be (-42)/s - 3/12. Let -4/7*z**2 + 2/7*z**4 + 4/7*z**3 - 2/7*z**m - 2/7*z + 2/7 = 0. Calculate z.
-1, 1
Let l(k) be the third derivative of k**7/42 + k**6/24 - k**5/4 - 5*k**4/24 + 5*k**3/3 + 16*k**2. Suppose l(t) = 0. What is t?
-2, -1, 1
Suppose 2*c + g - 19 = 8, 12 = 2*c + 4*g. Let r be (-282)/(-99) - c/88. Solve 2/3*i**3 + 10/3*i - r*i**2 - 4/3 = 0 for i.
1, 2
Let y(q) be the second derivative of -q**7/840 + q**6/180 + q**5/120 - q**4/12 - 5*q**3/6 - 7*q. Let r(t) be the second derivative of y(t). Factor r(f).
-(f - 2)*(f - 1)*(f + 1)
Let d = 33 + -31. Let q(m) be the first derivative of -m**d - 3/2*m**4 + 8/3*m**3 + 0*m + 3. Determine k so that q(k) = 0.
0, 1/3, 1
Factor -3*l**2 + 3 + 9*l**2 - 7 - 2*l**2.
4*(l - 1)*(l + 1)
Let j be 8/18 + (-7)/(189/6). What is w in 0*w**2 + 2/9 - j*w**4 - 4/9*w + 4/9*w**3 = 0?
-1, 1
Let q be (-1 - (-1)/1) + 40/10. Let t(v) be the second derivative of -1/45*v**6 + 0*v**2 + 1/18*v**4 + 0 + 1/9*v**3 - 1/30*v**5 - q*v. Factor t(a).
-2*a*(a - 1)*(a + 1)**2/3
Suppose -18 = 76*t - 82*t. Let y be 1/(-21) - 8/(-24). Solve -y*z**t + 6/7*z**2 - 8/7 + 0*z = 0 for z.
-1, 2
Let f(g) = 2*g**2 + g - 3. Suppose 4*c = 41 + 3. Let b be 0/(2 - 4) + 2. Let p(x) = -10*x**2 - 6*x + 16. Let w(t) = b*p(t) + c*f(t). Factor w(h).
(h - 1)*(2*h + 1)
Suppose 0 = 4*d + j - 10, d + j = -d + 6. Factor 3/2*s**3 - 9/2*s + 3 + 0*s**d.
3*(s - 1)**2*(s + 2)/2
Let z = -1252/35 + 116/7. Let f = z - -98/5. Let -f*r**3 - 6/5*r**4 + 2/5*r + 2*r**2 - 4/5 = 0. Calculate r.
-1, 2/3, 1
Let k(p) be the third derivative of p**7/840 + p**6/240 - p**5/80 - p**4/12 - p**3/6 - 17*p**2. Factor k(i).
(i - 2)*(i + 1)**2*(i + 2)/4
Suppose 31*s = 24*s. Let 3/5*b - 6/5*b**2 + 0 - 3/5*b**5 + 6/5*b**4 + s*b**3 = 0. Calculate b.
-1, 0, 1
Let h be (-2)/(-4) - 88/(-16). Suppose 0 = 3*q - 6*q + h. What is s in -q*s**2 + 2/3 + 4/3*s = 0?
-1/3, 1
Let d(a) be the second derivative of 2*a**7/21 - 7*a**6/30 + 3*a**5/20 - 17*a. Factor d(q).
q**3*(q - 1)*(4*q - 3)
Let n be 1/1*(-9 - -10). Let k(j) be the first derivative of -n + 5/6*j**3 - 1/4*j**4 + 5/24*j**6 - 1/2*j - 1/8*j**2 - 2/5*j**5. Factor k(q).
(q - 1)**3*(q + 1)*(5*q + 2)/4
Let f(g) = 2*g + 27. Let t be f(-14). Let r be (((-96)/(-28))/(-4))/t. Suppose 0*x + r*x**4 - 2/7*x**5 - 6/7*x**3 + 0 + 2/7*x**2 = 0. Calculate x.
0, 1
Let y(v) be the first derivative of 5*v**4 + 25*v**3/3 - 35*v**2/2 - 10*v + 2. Find c, given that y(c) = 0.
-2, -1/4, 1
Let i be ((-2)/(-3))/((-4)/(-3)). Let q be 9/(-24) - (-10)/16. Factor -i*a**2 + 0 - 1/4*a - q*a**3.
-a*(a + 1)**2/4
Let r(p) be the first derivative of p**8/3360 - p**6/360 + p**4/48 + p**3/3 + 4. Let k(t) be the third derivative of r(t). Determine u so that k(u) = 0.
-1, 1
Factor 1/3*a**4 + 0 - 1/6*a + 1/6*a**5 - 1/3*a**2 + 0*a**3.
a*(a - 1)*(a + 1)**3/6
Let y(g) = g**2 - g. Let o(d) = 2*d**3 + 6*d**2 + 18*d + 6. Let n(s) = -o(s) - 4*y(s). Factor n(l).
-2*(l + 1)**2*(l + 3)
Let g(m) be the second derivative of -2*m**7/7 - 4*m**6/15 - m**5/15 - 6*m. Factor g(n).
-4*n**3*(3*n + 1)**2/3
Let x(h) = 3*h**4 + 5*h**2 - 5*h - 5. Let v(j) = -8*j**4 - 14*j**2 + 14*j + 14. Let c(q) = 5*v(q) + 14*x(q). Factor c(i).
2*i**4
Factor 2/3*w**3 + 2*w + 6 - 10/3*w**2.
2*(w - 3)**2*(w + 1)/3
Suppose 0 = -9*w + 4*w. Solve 3 + 4*n + 2*n - 3*n**4 - 9*n**3 + 3*n**3 + w*n**3 = 0 for n.
-1, 1
Let d(i) be the first derivative of i**4/14 - 2*i**3/7 + 8*i/7 - 3. Suppose d(w) = 0. Calculate w.
-1, 2
Let l(i) = 7*i**5 + 13*i**4 + 3*i**3 - 9*i**2 - 5*i - 9. Let t(m) = 4*m**5 + 7*m**4 + m**3 - 5*m**2 - 2*m - 5. Let q(d) = -3*l(d) + 5*t(d). Factor q(o).
-(o - 1)*(o + 1)**3*(o + 2)
Let r(d) = 5*d**4 + 4*d**3 - 6*d**2 + 2*d + 7. Let n(u) = -9*u**4 - 7*u**3 + 11*u**2 - 4*u - 13. Let z(p) = -6*n(p) - 11*r(p). Factor z(b).
-(b - 1)*(b + 1)**3
Factor 1 + 3*c**2 + c**3 + 7*c - 2*c - 2*c.
(c + 1)**3
Let m = -47519/60 - -792. Let v(s) be the third derivative of 0*s + m*s**5 - 1/6*s**3 + 0 + 0*s**4 - 2*s**2. Factor v(g).
(g - 1)*(g + 1)
Let z be 14*10/286 + 14/(-77). Find h such that z + 2/13*h**2 + 6/13*h = 0.
-2, -1
Factor 3/5*l**4 + 0 + 0*l + 6/5*l**2 - 9/5*l**3.
3*l**2*(l - 2)*(l - 1)/5
Let r(z) be the first derivative of -2*z**4/19 - 10*z**3/19 + 4*z**2/19 - 47. Find c, given that r(c) = 0.
-4, 0, 1/4
Let y(k) be the first derivative of -k**7/140 + k**6/48 - k**5/60 - k**2 - 2. Let s(i) be the second derivative of y(i). Factor s(v).
-v**2*(v - 1)*(3*v - 2)/2
Let j(z) = 3*z**4 + z**3 - 3*z**2 - z. Let p(h) = -2*h**4 + 3*h**2 + h. Let b(w) = -3*j(w) - 4*p(w). Factor b(o).
-o*(o + 1)**3
Let x(g) be the third derivative of 121*g**6/420 + 33*g**5/35 - g**4 + 8*g**3/21 - 6*g**2. Solve x(b) = 0 for b.
-2, 2/11
Suppose 302 - 2*t - 294 + 6*t + t**2 + 2*t = 0. What is t?
-4, -2
Let r be 3 - (2 + 0 - 24). Factor 22*f + 24*f**4 + 0*f**5 - r*f + 9*f**5 + 18*f**3.
3*f*(f + 1)**3*(3*f - 1)
Factor -4/3*x**3 - 8/3*x + 1 - 5*x**2.
-(x + 1)*(x + 3)*(4*x - 1)/3
Let u = 493/15 - 141/5. Suppose -4/3 + u*i + 10/3*i**3 - 2/3*i**4 - 6*i**2 = 0. What is i?
1, 2
Suppose 2*c - 3*w - 17 = 0, -4*w = 13*c - 15*c + 20. Factor 0 + 0*m + 0*m**2 + 4/7*m**c + 8/7*m**3.
4*m**3*(m + 2)/7
Suppose 4*f + 4 = 5*f. Let r be 6/f*(-7)/(-21). Factor 1/2 + 2*u + 3*u**2 + r*u**4 + 2*u**3.
(u + 1)**4/2
Let j(y) be the second derivative of 3*y**5/40 - y**4/24 - 2*y**3/3 - y**2 + 4*y. Find f such that j(f) = 0.
-1, -2/3, 2
Let a(h) be the first derivative of -h**6/1440 - h**5/240 - 8*h**3/3 - 4. Let r(w) be the third derivative of a(w). Factor r(d).
-d*(d + 2)/4
Let s be (-3)/90*(-3)/15. Let j(o) be the third derivative of 0*o**3 - o**2 + 0*o + 0*o**4 + 1/300*o**6 + 0 - s*o**5. Find g such that j(g) = 0.
0, 1
Let p(c) be the second derivative of -c**9/7560 + c**7/630 - c**5/60 + 2*c**4/3 - 8*c. Let v(h) be the third derivative of p(h). Factor v(i).
-2*(i - 1)**2*(i + 1)**2
Determine n, given that 2*n + 1/4*n**2 + 0 = 0.
-8, 0
Let f(n) be the first derivative of n**4/24 + n**3/3 + n**2 + 2*n + 6. Let w(y) be the first derivative of f(y). Determine u, given that w(u) = 0.
-2
Let d be 0/(-3) + (-4)/(-5). Let x be -4*((-9)/(-6) - 2). Solve 2/5*f**x - 2/5*f - d = 0.
-1, 2
Let f(c) be the second derivative of -c**9/432 + 3*c**8/560 - c**7/420 + c**3 - c. Let q(x) be the second derivative of f(x). Find j, given that q(j) = 0.
0, 2/7, 1
Factor -3*d**3 - 7*d**3 + 4*d**3 - d**4 - d**4.
-2*d**3*(d + 3)
Let h(q) be the third derivative of -q**5/450 + 7*q**4/180 - 4*q**2. Determine g so that h(g) = 0.
0, 7
Let j(g) = -g**2 - g - 6. Let t(f) = f**2 + 2*f + 6. Let y(v) = -4*j(v) - 5*t(v). Let o be y(-4). Factor k - k**2 + 0*k**3 - k**3 + k**o.
-k*(k - 1)*(k + 1)
Let m(y) = -26*y**5 + 15*y**4 + 26*y**3 - 4*y**2 - 11. Let v(r) = 9*r**5 - 5*r**4 - 9*r**3 + r**2 + 4. Let z(b) = 4*m(b) + 11*v(b). Factor z(c).
-5*c**2*(c - 1)**2*(c + 1)
Let g = 547/6 - 91. Let y(q) be the third derivative of 0*q**3 + 2*q**2 + 0*q + 0 + 1/30*q**5 - g*q**4 + 1/60*q**6. Factor y(h).
2*h*(h - 1)*(h + 2)
Let l = 947/169680 - 1/707. Let o(d) be the third derivative of 0*d**4 + l*d**6 + 1/672*d**8 + 0*d**3 + 0*d**5 - 2*d**2 - 1/210*d**7 + 0 + 0*d. Factor o(q).
q**3*(q - 1)**2/2
Let k be 20/30 + (-2)/9. Let h(z) be the second derivative of -2/15*z**5 + 1/3*z**4 - z + 1/45*z**6 - k*z**3 + 0 + 1/3*z**2. Factor h(q).
2*(q - 1)**4/3
Suppose 5*r = -0*r - 2*g - 2, 5*g = -2*r - 5. Let u(o) = -o**3 + 5*o**2 + 6*o + 4. Let v be u(6). Factor -1/5*x**v - 2/5*x + 0 + 3/5*x**2 + r*x**3.
-x*(x - 1)**2*(x + 2)/5
Let m = -1101 + 1105. Suppose -3/4*x**2 - 3/4*x**3 - 1/4*x**m + 0 - 1/4*x = 0. Calculate x.
-1, 0
Let i = 1/28 - -3/14. Suppose -8 = -4*h + r, -6*r + 2*r = -4*h - 4. Solve 1/4*z**h - i*z + 0 + 1/4*z**4 - 1/4*z**2 = 0.
-1, 0, 1
Let c(j) be the third derivative of -j**5/12 + 35*j**4/12 - 51*j**2. Factor c(f).
-5*f*(f - 14)
Let a be 2/(-4) - (-42)/12. Factor 3*d**a - 3*d + 16*d**2 + 35*d + 0*d**3 - d**3.
2*d*(d + 4)**2
Let n = 456/11 - 16141/396. Let p = n - 4/9. Factor -1/4*f**2 + 0 - p*f.
-f*(f + 1)/4
Let m(c) = 3*c**4 - 4*c**3 - 3*c**2.