 - 9*n**2 - 2*n**5 - 2.
-2*(n - 1)**2*(n + 1)**3
Let u(d) be the second derivative of -d**5/20 - d**4/8 - d**3/12 + 37*d. Factor u(o).
-o*(o + 1)*(2*o + 1)/2
Let j = -30 - 10. Let q be (-2)/8 - 34/j. Solve -q*w**3 + 1/5*w + 2/5*w**2 + 0 = 0 for w.
-1/3, 0, 1
Let r(h) be the first derivative of -h**4/16 - h**3/12 + 1. Find q such that r(q) = 0.
-1, 0
Let u(z) be the third derivative of z**10/30240 + z**9/15120 - z**8/6720 - z**7/2520 + z**4/8 + 3*z**2. Let n(l) be the second derivative of u(l). Factor n(a).
a**2*(a - 1)*(a + 1)**2
Let j(i) = 8*i**3 + 424*i**2 + 1288*i + 872. Let a(u) = -u**3 - 47*u**2 - 143*u - 97. Let c(w) = 28*a(w) + 3*j(w). Factor c(h).
-4*(h + 1)*(h + 5)**2
Suppose -l = -5*x + 16, 0*l = -4*x - 2*l + 24. Factor 8*q**2 - x*q**3 + 7*q**3 - 14*q**2.
3*q**2*(q - 2)
Suppose d = 4*d. Solve -40*m**2 + 41*m**2 + d + 0 = 0 for m.
0
Factor -33*u + 21 - 12*u**2 + 9*u + 14*u**3 - 5 + 6*u**4.
2*(u - 1)*(u + 2)**2*(3*u - 2)
Let t(r) = 7*r**3 + r**2 - 5*r - 3. Let p(l) = -4*l**3 + 3*l + 1. Let m(a) = -5*p(a) - 3*t(a). Let o(d) be the first derivative of m(d). Solve o(v) = 0 for v.
-2, 0
Let k(j) = -3*j. Let y be k(-1). Let q = 3 - y. Suppose 3/2*l**4 - 3/2*l**3 + 0 - 1/2*l**5 + 1/2*l**2 + q*l = 0. Calculate l.
0, 1
Let t(q) = q**2 + 6*q + 5. Let g be t(-4). Let b(k) = -k**2 - 2*k - 2. Let y(l) = 3*l + 3. Let c(j) = g*b(j) - 2*y(j). Let c(o) = 0. What is o?
0
Let q = 5 - -1. Factor 0*i**2 + q*i**3 - 5*i**3 - i**2 + i**4 - i**5.
-i**2*(i - 1)**2*(i + 1)
Let v(l) be the second derivative of 2*l**7/7 + 4*l**6/15 - 7*l**5/5 + 2*l**4/3 - 10*l. Solve v(p) = 0.
-2, 0, 1/3, 1
Let r(l) be the second derivative of 8/3*l**3 + 4*l + 6*l**2 + 1/3*l**4 + 0. Find z such that r(z) = 0.
-3, -1
Let t(j) be the first derivative of -j**4/4 - 4*j**3/3 + 5*j**2/2 - 31. Determine m, given that t(m) = 0.
-5, 0, 1
Let q be 4/(-1)*(-9)/12. Let l = 5 - q. Determine a, given that 0*a + 0 + 2/9*a**3 - 2/9*a**l = 0.
0, 1
Solve 2/9*v**5 - 4/3*v**3 + 16/9*v - 8/9*v**2 + 2/9*v**4 + 0 = 0 for v.
-2, 0, 1, 2
Let v(i) be the third derivative of i**6/40 - 3*i**4/8 + i**3 - 23*i**2. Factor v(h).
3*(h - 1)**2*(h + 2)
Let c(b) = b + 13. Let k be c(-6). Let x = k + -4. What is i in 2*i**2 - 4*i**x + i**2 + 7*i**4 - 4*i**4 - 2*i**3 = 0?
0, 1
Let m = 9 - 11. Let g be (-3)/(-1) - (5 + m). Factor -3*z**2 + g + 6 - 3*z - 3 + 3*z**3.
3*(z - 1)**2*(z + 1)
Let i(g) be the third derivative of g**7/210 - g**6/120 - g**5/20 + 5*g**4/24 - g**3/3 - 3*g**2. Let i(w) = 0. Calculate w.
-2, 1
Suppose 0 = 2*d - s + 1, -4*d - 1 = -0*d - s. Factor d - 4/7*c**2 - 2/7*c**3 - 2/7*c.
-2*c*(c + 1)**2/7
Let j(y) be the first derivative of 2*y**5/45 - y**4/9 + 2*y**2/9 - 2*y/9 + 2. Factor j(g).
2*(g - 1)**3*(g + 1)/9
Let i = -145 - -150. Let p(h) be the second derivative of -1/40*h**i + 0*h**3 + 1/120*h**6 + 0*h**2 + 1/48*h**4 + 0 - 2*h. Factor p(s).
s**2*(s - 1)**2/4
Let d = 27 - 22. Determine b, given that 21*b**2 - 32*b - 16*b + 5*b + 12 - d*b = 0.
2/7, 2
Let v(t) be the third derivative of t**8/1176 + 2*t**7/735 - t**6/35 + t**5/15 - 5*t**4/84 + 28*t**2. Factor v(p).
2*p*(p - 1)**3*(p + 5)/7
Let w(l) be the first derivative of 2*l**5/5 + l**4/2 + 21. Factor w(m).
2*m**3*(m + 1)
Let h(v) be the first derivative of -3*v + v**2 + 2 - 1/6*v**4 + 1/3*v**3 - 1/10*v**5. Let c(l) be the first derivative of h(l). Factor c(n).
-2*(n - 1)*(n + 1)**2
Let v(c) = c**3 - 2*c**2 - c - 3. Let h be v(3). Factor 2*m + m**2 - 2*m**4 + h*m**2 - 2*m**4 - 2*m**5.
-2*m*(m - 1)*(m + 1)**3
Let k(c) be the second derivative of 0*c**5 + 0*c**3 + 0*c**2 + 1/50*c**6 + 0 + 3*c + 0*c**4. Solve k(j) = 0.
0
Let l = 77/3 + -25. Determine d so that -4/9 + 0*d**2 - l*d + 2/9*d**3 = 0.
-1, 2
Let t(y) = -y**3. Let q(k) = -2*k**3 + 12*k**2 + 12*k + 4. Let g(c) = q(c) - 6*t(c). Determine s, given that g(s) = 0.
-1
Let c(k) be the third derivative of -k**8/840 + k**7/105 - k**6/45 - k**3/2 - 2*k**2. Let i(m) be the first derivative of c(m). Find q such that i(q) = 0.
0, 2
Let t(g) be the first derivative of g**7/420 - g**6/300 - g**5/25 - g**4/15 + g**3 - 8. Let b(v) be the third derivative of t(v). Find f, given that b(f) = 0.
-1, -2/5, 2
Let k be 20*((-60)/16 - -4). Let s(a) be the third derivative of -a**2 + 0*a**3 + 1/108*a**4 + 0*a - 1/270*a**k + 0. Find f, given that s(f) = 0.
0, 1
Let n(w) = 3*w + 20. Let p be n(-6). Solve 0*y**3 + p*y**4 - y + y + 4*y**2 + 6*y**3 = 0.
-2, -1, 0
Let 0*s + 3/2*s**2 - 3/2*s**3 - 21/8*s**4 - 3/4*s**5 + 0 = 0. Calculate s.
-2, 0, 1/2
Let 0*w - 2/3*w**3 + 0 - 2/3*w**2 = 0. Calculate w.
-1, 0
Let h(r) = -r**2. Let l(q) = -q. Let p(a) = 5*h(a) + 35*l(a). Find n, given that p(n) = 0.
-7, 0
Let i(z) be the second derivative of 0*z**3 + 1/8*z**2 + 5*z + 0 - 1/48*z**4. Factor i(h).
-(h - 1)*(h + 1)/4
Let i = -3 - -8. Suppose 6*k - 5 = k - 5*l, 5*k = i*l - 5. Factor 0*b + k*b**2 + 1/3*b**3 + 0 + 1/3*b**4.
b**3*(b + 1)/3
Let h = -1/274 + 555/1918. Factor -30/7*d**3 + 4/7*d - h*d**2 + 0 - 38/7*d**4 - 2*d**5.
-2*d*(d + 1)**3*(7*d - 2)/7
Let v be (3/6)/(2 + -3)*0. Let z(l) be the second derivative of -6/5*l**5 + v*l**3 + 4*l - l**4 + 0*l**2 - 1/14*l**7 - 1/2*l**6 + 0. Factor z(u).
-3*u**2*(u + 1)*(u + 2)**2
Let i(z) be the third derivative of 0 - 1/210*z**5 + 3*z**2 - 1/84*z**4 + 0*z + 2/21*z**3. Suppose i(h) = 0. What is h?
-2, 1
Let h(j) be the first derivative of j**7/560 - j**6/60 + j**5/16 - j**4/8 + 4*j**3/3 + 4. Let u(c) be the third derivative of h(c). Solve u(t) = 0 for t.
1, 2
Let o(n) be the first derivative of -n**6/24 - 7*n**5/20 - 9*n**4/8 - 11*n**3/6 - 13*n**2/8 - 3*n/4 + 6. Factor o(m).
-(m + 1)**4*(m + 3)/4
Suppose -5*n + 9 + 1 = 0. Suppose 1 - 3*s**2 + 8*s**2 - 2*s - 4*s**n = 0. What is s?
1
Let p = -527 + 2639/5. Factor -p + 2/5*b + 2/5*b**2.
2*(b - 1)*(b + 2)/5
Let z = -125/456 - -6/19. Let g(h) be the second derivative of -h + 1/4*h**2 + 0 + 1/6*h**3 + z*h**4. Let g(m) = 0. What is m?
-1
Let l(p) be the first derivative of 0*p + 1/150*p**5 + p**2 + 0*p**3 - 1 - 1/30*p**4. Let n(o) be the second derivative of l(o). Factor n(w).
2*w*(w - 2)/5
Let z(a) be the first derivative of 0*a - 3/5*a**5 - 1 + a**3 - 3/4*a**2 + 0*a**4 + 1/4*a**6. Determine t, given that z(t) = 0.
-1, 0, 1
Let t be -2*1/(-8)*16. Let c(o) be the first derivative of -8*o + 1/2*o**t + 8*o**2 + 4 - 10/3*o**3. Solve c(y) = 0 for y.
1, 2
Let z(b) = -266*b**2 - 823*b - 571. Let x(p) = -44*p**2 - 137*p - 95. Let i(u) = 34*x(u) - 6*z(u). Suppose i(g) = 0. What is g?
-7/5
Let c = -19 + 15. Let m(i) = -2*i**3 - 4*i**2 - 6*i. Let w(n) = 2*n + 5*n - 6*n. Let a(u) = c*w(u) - m(u). Factor a(o).
2*o*(o + 1)**2
Let w(g) = g**2 - 3*g**3 + 0*g**3 + 2*g + 5 + 6*g**2 - 6*g. Let l(j) = -j**3 + 3*j**2 - 2*j + 2. Let y(u) = 5*l(u) - 2*w(u). Determine t so that y(t) = 0.
-2, 0, 1
Suppose 4*k - 3*k = 3. Let j(s) be the first derivative of 1/9*s**k - 1/15*s**5 + 0*s**4 + 0*s + 0*s**2 - 2. Suppose j(x) = 0. What is x?
-1, 0, 1
Let i(g) be the second derivative of g**4/12 + 13*g**3/6 + 6*g**2 - 11*g. Let r be i(-12). Factor -2/7*n**5 - 2/7*n**2 + 0 - 6/7*n**3 + r*n - 6/7*n**4.
-2*n**2*(n + 1)**3/7
Let q = 2068/5 + -412. Factor 8/5 + 2/5*u**2 + q*u.
2*(u + 2)**2/5
Let p be -3 + 2 - (0 - 0). Let j be (p/(-3))/((-6)/(-54)). Factor 5*s**2 + 4/3*s**4 - 7/3*s - 13/3*s**j + 1/3.
(s - 1)**3*(4*s - 1)/3
Let u(r) be the second derivative of -r**4/12 - 2*r**3/3 - 2*r**2 - 5*r. Let u(s) = 0. What is s?
-2
Let d(r) be the third derivative of -1/150*r**6 + 0*r**4 + 0*r**3 + 1/150*r**5 + 2*r**2 + 1/525*r**7 + 0 + 0*r. What is p in d(p) = 0?
0, 1
Let g = -5 - -9. Let o = -4 + g. Factor 2/3*a**2 + 0*a**3 - 2/3*a**4 + 0 + o*a.
-2*a**2*(a - 1)*(a + 1)/3
Let i = 274 - 274. Factor 4/7*x**5 + i - 10/7*x**4 + 8/7*x**3 - 2/7*x**2 + 0*x.
2*x**2*(x - 1)**2*(2*x - 1)/7
Let m be ((-18)/15)/((-3)/10). Factor 6*b**3 + 7*b**4 - 5*b**2 + 2*b**2 - 10*b**m.
-3*b**2*(b - 1)**2
Let a(d) be the second derivative of d**4/4 - d**3/2 + 6*d + 1. Find z, given that a(z) = 0.
0, 1
Suppose a = 3*q - 3*a + 65, 5*q = a - 131. Let i = 83/3 + q. Solve 2/3*z**4 - 2*z**2 + i*z**3 - 10/3*z - 4/3 = 0.
-1, 2
Let c(o) = -2*o + 5. Let t be c(-5). Factor -8*k + 23*k**3 - 22*k**2 + 11*k**4 + 9*k**4 - t*k**3 + 2*k**2.
4*k*(k - 1)*(k + 1)*(5*k + 2)
Let b(a) be the first derivative of -1/900*a**6 - 4/3*a**3 - 1/3