)**2*(5*w - 2)/7
Let n(o) be the third derivative of o**8/5880 + o**7/980 + o**6/630 + o**3/6 + 2*o**2. Let r(j) be the first derivative of n(j). Find g such that r(g) = 0.
-2, -1, 0
Let b(d) = d**3 + 10*d**2 + d + 12. Let y be b(-10). Factor -3*l - 7*l**3 + 8*l**2 + 4*l**2 - 4 + y.
-(l - 1)**2*(7*l + 2)
Let r(n) be the first derivative of n**4/4 + 7*n**3/3 + 15*n**2/2 + 9*n - 8. Let r(k) = 0. What is k?
-3, -1
Let k = 50/7 - 993/140. Let y(j) be the second derivative of 0 + 0*j**3 + 0*j**2 + 2*j - 1/12*j**4 - k*j**5. Factor y(l).
-l**2*(l + 1)
Let n(u) be the second derivative of -1/24*u**4 - 1/6*u**3 + 0 - 1/4*u**2 + 6*u. Factor n(g).
-(g + 1)**2/2
Let n(y) = -y + 5. Let o be n(3). Suppose -o*z + z = -4. Factor -2*r**3 - r**z + 4*r**3 + 3*r**4.
2*r**3*(r + 1)
Suppose -4*w = -5*g - 63 + 17, -5*g - 38 = -2*w. Let b be ((-40)/(-50))/(g/(-5)). Determine d so that -2/3*d**4 - b*d**3 + 0*d + 0*d**2 + 0 = 0.
-1, 0
Let u(f) = -15*f**3 + 85*f**2 + 70*f - 195. Let o(g) = -g**3 + 6*g**2 + 5*g - 14. Let l(j) = 55*o(j) - 4*u(j). Find q such that l(q) = 0.
-1, 1, 2
Let h(a) be the second derivative of -a**7/70 + 9*a**5/100 - a**4/10 + 5*a. What is g in h(g) = 0?
-2, 0, 1
Factor -2*p**2 + 36*p - 1 + 4*p**2 + 9 - 46*p.
2*(p - 4)*(p - 1)
Let f(s) = 3*s - 1. Let u be f(1). Suppose -3*k - u*k = 0. Find o such that -2/9*o**3 + 0*o**2 + k + 2/9*o = 0.
-1, 0, 1
Let r(q) be the first derivative of 8*q - 10*q**2 + 14/3*q**3 - 3/4*q**4 + 3. Factor r(d).
-(d - 2)**2*(3*d - 2)
Let o(u) = -u**3 - u**2 - u. Let z(q) = -2*q**3 - 15*q**2 - 4*q. Let l(v) = 6*o(v) - z(v). Factor l(n).
-n*(n - 2)*(4*n - 1)
Let j(p) be the third derivative of -5*p**8/336 + p**7/21 + p**6/4 - 2*p**5/3 - 25*p**4/24 + 5*p**3 - 23*p**2 - 2. Solve j(i) = 0 for i.
-2, -1, 1, 3
Solve -8/5*d**2 + 0 - 6/5*d**4 - 24/5*d**3 + 0*d + 2*d**5 = 0 for d.
-1, -2/5, 0, 2
Factor -6/7*b**4 - 2/7*b + 0 + 10/7*b**3 - 2/7*b**2.
-2*b*(b - 1)**2*(3*b + 1)/7
Let o(q) be the second derivative of 8/63*q**7 + 3*q + 0*q**2 - 13/20*q**5 - 1/9*q**3 + 4/45*q**6 + 0 + 17/36*q**4. Solve o(v) = 0.
-2, 0, 1/4, 1
Suppose 67*h = 75*h. Let -2/3*r**3 + 2/9*r**2 + 0*r + h + 4/9*r**4 = 0. Calculate r.
0, 1/2, 1
Solve -30*f - 20*f**2 + 0*f**4 + 22*f - 16*f**3 - 4*f**4 = 0.
-2, -1, 0
Let t(u) be the second derivative of -u**8/6720 + u**7/630 - u**6/144 + u**5/60 - u**4/4 + 3*u. Let o(k) be the third derivative of t(k). Factor o(z).
-(z - 2)*(z - 1)**2
Let h(m) be the first derivative of m**7/350 + m**6/200 - m**5/100 - m**4/40 - 2*m**2 + 1. Let o(i) be the second derivative of h(i). Factor o(v).
3*v*(v - 1)*(v + 1)**2/5
Let a(m) = m**3 + m**2 - m + 1. Let s(h) = -4*h**4 + 24*h**3 + 8*h**2 - 24*h + 20. Let x be -1 - (-3)/6*4. Let c(b) = x*s(b) - 12*a(b). Factor c(y).
-4*(y - 2)*(y - 1)**2*(y + 1)
Solve -2/9*y**4 + 2/9*y**3 + 2/9*y**2 - 2/9*y + 0 = 0.
-1, 0, 1
Let j(q) = q**3 - 7*q**2 - 2*q - 6. Let x be j(8). Factor -x*d + 154*d**2 + 2*d - 4 - 254*d**2.
-4*(5*d + 1)**2
Let h(x) be the second derivative of x**7/840 - x**5/40 + x**4/12 + 2*x**3/3 + 3*x. Let u(d) be the second derivative of h(d). Factor u(r).
(r - 1)**2*(r + 2)
Let r(o) = -o**4 + o**3. Let k(m) = 24*m**4 - 60*m**3 - 18*m**2 + 84*m + 24. Let v(g) = -k(g) - 3*r(g). Suppose v(t) = 0. Calculate t.
-1, -2/7, 2
Let f = -38 + 24. Let l be (42/49)/((-4)/f). Suppose 2*s - 10*s**2 + 0*s**2 - 3*s - 24*s**l - 2 + 13*s = 0. Calculate s.
-1, 1/4, 1/3
Suppose -3*n = -4*n + 5. Let -1 + 2*i + 4*i**2 + 0*i**2 - n*i**2 = 0. Calculate i.
1
Find k such that 1/3*k**3 - 1/3*k**2 + 0 - 2/3*k = 0.
-1, 0, 2
Suppose 0 = 3*l + 7 + 8, -3*t - l - 5 = 0. Let b(f) be the second derivative of t*f**3 + 0*f**2 + 1/42*f**4 + 0 + f - 1/70*f**5. Suppose b(n) = 0. Calculate n.
0, 1
Suppose -8*g = -3*g - 10. Let f be g/14 + 1/7. Let f*q + 0 + 2/7*q**2 = 0. What is q?
-1, 0
Let u = 61/105 - -3/35. Suppose u*h**4 + 2*h**2 + 0 + 2/3*h + 2*h**3 = 0. What is h?
-1, 0
Suppose 7 = -4*m + 15. Let w(q) be the first derivative of 1/6*q**3 - 2 + 1/16*q**4 + 1/8*q**m + 0*q. Solve w(t) = 0.
-1, 0
Let u(l) be the third derivative of -l**9/90720 - l**8/10080 - l**7/3024 - l**6/2160 - l**4/24 + 6*l**2. Let x(k) be the second derivative of u(k). Factor x(c).
-c*(c + 1)**2*(c + 2)/6
Solve 0 - 4/5*r - 4/5*r**2 = 0 for r.
-1, 0
Suppose -k - 6 = -3*k. Let q(f) be the first derivative of -8/3*f - 4/3*f**2 - k - 2/9*f**3. Factor q(s).
-2*(s + 2)**2/3
Let r(v) be the third derivative of 1/12*v**4 + 1/30*v**5 - 2/3*v**3 + 0 + 3*v**2 + 0*v. Find g such that r(g) = 0.
-2, 1
Let u(m) be the second derivative of -m**7/441 - 2*m**6/315 - m**5/210 - 27*m. Factor u(l).
-2*l**3*(l + 1)**2/21
Factor -3/7*i**2 + 0*i + 1/7*i**3 + 0.
i**2*(i - 3)/7
Suppose -5*o + 23 = -0*v - v, -4*o - v = -22. Determine u so that u**2 + 2 + 6*u**4 - 4*u**4 - o*u**2 = 0.
-1, 1
Let b = -41 - -79. Let x be b/10 - (-2)/10. Determine a, given that -2*a**4 - a**x + a**4 + 2*a**2 = 0.
-1, 0, 1
Let b(u) = -u**3 + u**2. Let c(q) = 10*q**3 + 8*q**2 - 14*q - 4. Let y(d) = -4*b(d) - 2*c(d). Factor y(n).
-4*(n - 1)*(n + 2)*(4*n + 1)
Let c(h) be the first derivative of -h**3/8 - 3*h**2/16 + 26. Factor c(z).
-3*z*(z + 1)/8
Let f(n) = n**3 + 7*n**2 + 2. Let a be f(-7). Factor p**2 - p**2 + 0 - 2*p**a + 2.
-2*(p - 1)*(p + 1)
Let m(j) be the first derivative of 25*j**5 + 75*j**4/2 - 55*j**3/3 - 30*j**2 + 20*j - 7. Factor m(p).
5*(p + 1)**2*(5*p - 2)**2
Factor -1/10*b**3 - 12/5*b - 8/5 - 9/10*b**2.
-(b + 1)*(b + 4)**2/10
Factor 4*w**5 - 80*w**2 - 16*w**4 - 12*w + 172*w**2 - 76*w**2 + 8*w**3.
4*w*(w - 3)*(w - 1)**2*(w + 1)
Let s(f) be the second derivative of 0*f**2 - 1/3*f**3 + 0 - 4*f + 1/3*f**4 - 1/10*f**5. Factor s(w).
-2*w*(w - 1)**2
Solve 5*p**4 - 3*p**4 + 2 + 2*p**5 - 2*p**3 - 2*p**5 - 4*p**2 + p + p**5 = 0 for p.
-2, -1, 1
Factor -1/4 + 1/4*w**2 + 0*w.
(w - 1)*(w + 1)/4
Suppose 0 = v - 5*d + 31, d = -4*v + v - 29. Let i = 9 - 5. Let l(m) = 6*m**2 + 5*m - 23. Let h(a) = 2*a**2 + 2*a - 8. Let k(j) = i*l(j) + v*h(j). Factor k(q).
2*(q - 2)*(q + 1)
Let c(h) be the third derivative of 0 - 1/945*h**7 + 0*h - 4*h**2 + 1/270*h**5 + 0*h**3 + 0*h**6 + 0*h**4. Factor c(d).
-2*d**2*(d - 1)*(d + 1)/9
Let j be (-21)/((75/2)/(-5)). Let g = 52/15 - j. Factor g*o**2 + 2/9 - 2/3*o - 2/9*o**3.
-2*(o - 1)**3/9
Let i(v) = 6*v**2 + 17*v. Let l(k) = -2*k**2 - 6*k. Let a(x) = -4*i(x) - 11*l(x). Factor a(g).
-2*g*(g + 1)
Find z such that 6*z + 4*z - 4 + 4*z**3 - 12*z**2 + 2*z = 0.
1
Let h be 13/3 - (3 - (-32)/(-12)). Let x(v) be the second derivative of v + 2*v**2 + 1/2*v**h + 0 - 5/3*v**3. Suppose x(k) = 0. What is k?
2/3, 1
Let c = -11 + 11. Let g(p) be the first derivative of 0*p + 6/35*p**5 - 1/14*p**4 + 2 + c*p**3 + 0*p**2. Determine n so that g(n) = 0.
0, 1/3
Let m(v) be the third derivative of v**7/630 - v**6/180 - v**5/45 + v**4/36 + v**3/6 - 18*v**2. Factor m(d).
(d - 3)*(d - 1)*(d + 1)**2/3
Suppose 35 = 3*k + 2*k. Factor 4*a + k*a - 5*a + 3*a**2 + 3.
3*(a + 1)**2
Factor -1/5*k**3 - 1/5*k**4 + 0 + 0*k + 2/5*k**2.
-k**2*(k - 1)*(k + 2)/5
Let w = 112/167 - 2/501. Factor w*a**3 + 4/3*a**4 + 0*a + 2/3*a**5 + 0*a**2 + 0.
2*a**3*(a + 1)**2/3
Let b = -319/92 + 685/276. Let h = 8/23 - b. Factor -2/3*k - 2/3*k**5 - 2/3*k**4 + h*k**2 - 2/3 + 4/3*k**3.
-2*(k - 1)**2*(k + 1)**3/3
Let v(x) be the third derivative of x**7/280 + x**6/30 + x**5/8 + x**4/4 + x**3/2 - 4*x**2. Let l(d) be the first derivative of v(d). Factor l(q).
3*(q + 1)**2*(q + 2)
Let x(s) be the third derivative of -s**8/1680 - 3*s**2. Find a such that x(a) = 0.
0
Let u(w) = w**4 - w**2 + w. Let t(y) = -4*y**5 + 24*y**4 - 16*y**3 - 16*y**2 + 28*y - 8. Let m(g) = t(g) - 8*u(g). Factor m(s).
-4*(s - 2)*(s - 1)**3*(s + 1)
Suppose 0 = f + f. Suppose 4*m + 20 = f, -2*p - 2*m + 1 = 7. Solve -1/4*b**3 - 3/4*b - 1/4 - 3/4*b**p = 0 for b.
-1
Suppose 4*a = 2*a + 14. Suppose 0*k = -k + 3. Suppose -a*v + 4*v**3 + 2 + 7*v**k - 4*v**3 - 2*v**2 = 0. What is v?
-1, 2/7, 1
Let c(l) = -3*l + 3 + 5*l**3 - 3*l**3 + 2*l**2 - l**3. Let k be c(-3). Determine m, given that m + 0*m**4 - m**k + 2*m**4 - 3*m**4 + m**2 = 0.
-1, 0, 1
Let r(m) be the second derivative of m**7/6300 - m**5/300 - m**4/4 + 4*m. Let n(f) be the third derivative of r(f). Factor n(w).
2*(w - 1)*(w + 1)/5
Let w(x) be the first derivative of 0*x**2 - 1/12*x**4 + 1/6*x**3 - 2 + 3*x. Let z(p)