 -4/3*o - 2/3*o**2 - 2/3 = 0.
-1
Let w(d) = -10*d**4 - 20*d**3 + 14. Let h(b) = 2*b**4 + 4*b**3 - 3. Let f(q) = -14*h(q) - 3*w(q). Factor f(x).
2*x**3*(x + 2)
Let b(y) be the second derivative of 1/480*y**6 + 0*y**5 - y + 0 + 1/840*y**7 + 0*y**3 + y**2 + 0*y**4. Let a(f) be the first derivative of b(f). Factor a(h).
h**3*(h + 1)/4
Factor 4/3 + 2/3*n**3 - 2*n + 0*n**2.
2*(n - 1)**2*(n + 2)/3
Let o(f) be the second derivative of f**6/540 + f**5/135 + f**4/108 + f**2 + f. Let d(i) be the first derivative of o(i). Determine r so that d(r) = 0.
-1, 0
Factor 14/13*t**4 + 38/13*t**3 - 4/13 + 30/13*t**2 + 2/13*t.
2*(t + 1)**3*(7*t - 2)/13
Let x(n) be the first derivative of n**5/25 - 3*n**4/20 + n**3/15 + 3*n**2/10 - 2*n/5 + 1. Determine z so that x(z) = 0.
-1, 1, 2
Let r = -53/11 - -5. Determine f so that -r - 4/11*f - 2/11*f**2 = 0.
-1
Factor -1/2 - 2*y - 3/2*y**2.
-(y + 1)*(3*y + 1)/2
Find g such that -133*g**2 + 105*g**3 - 2*g**2 - 292*g + 12*g - 60 - 80*g**2 = 0.
-2/3, -2/7, 3
Let t = -113/5 + 117/5. Factor 0 - 2/5*z**5 + 6/5*z**4 + 0*z**2 + 0*z - t*z**3.
-2*z**3*(z - 2)*(z - 1)/5
Let c(l) be the first derivative of l**8/2520 + l**7/630 + l**6/540 + 2*l**3/3 - 4. Let b(f) be the third derivative of c(f). Determine d, given that b(d) = 0.
-1, 0
Factor -3/2*p + 3/8*p**4 + 9/8*p**2 + 3/2*p**3 - 3/2.
3*(p - 1)*(p + 1)*(p + 2)**2/8
Let u = -19 + 28. Let y be u/(-36) + 26/8. Suppose -1/4*n**y - 3/4*n**2 - 3/4*n - 1/4 = 0. Calculate n.
-1
Suppose 5*r = -3*h + 31, -r = h - 4*r + 13. Suppose 1 = h*o - 5. Factor 6*i**3 + i**4 - 3*i**2 - i**4 - o*i**5 - 3*i**3 + 3*i**4.
-3*i**2*(i - 1)**2*(i + 1)
Let y(w) be the first derivative of -1/4*w**4 - 1/3*w**3 + 5 + w + 1/2*w**2. Solve y(v) = 0 for v.
-1, 1
Suppose -8*y = -5*y - 5*k + 3, 3*k - 17 = -2*y. Factor -9/4*u - 7/2*u**3 - 3/2*u**y - 4*u**2 - 1/4*u**5 - 1/2.
-(u + 1)**4*(u + 2)/4
Let n(s) = 3*s**2 - 2*s + 48. Let r(f) = -f**2 - 16. Let c(l) = 4*n(l) + 11*r(l). Solve c(i) = 0 for i.
4
Let d(j) = 8*j**2 + 68*j. Let a(y) = 3*y**2 + 27*y. Let v(i) = -12*a(i) + 5*d(i). Factor v(t).
4*t*(t + 4)
Let b(a) be the second derivative of a**9/37800 - a**8/4200 + a**7/1575 - a**4/4 - 3*a. Let z(q) be the third derivative of b(q). Factor z(j).
2*j**2*(j - 2)**2/5
Let b(y) = y**3 - 8*y**2 - 3*y + 10. Let l be b(8). Let q be l/(-6) - 3/9. Suppose -20*d - 3 - 7*d**3 - 2 - 3 + 30*d**q - 4*d**2 = 0. Calculate d.
-2/7, 2
Let n = -2 + 4. Let t(r) = r**2 - 7*r + 9. Let y be t(6). Determine u, given that -1 + y + 0*u + 2*u**n - 3*u - u = 0.
1
Let v(d) be the second derivative of -6*d + 0*d**4 + 1/2*d**2 + 1/3*d**3 - 1/30*d**6 + 0 - 1/10*d**5. Factor v(l).
-(l - 1)*(l + 1)**3
Suppose 3*o - 4*o = -13. What is l in 12*l**3 + 11*l + o*l + 0*l**3 - 2*l**4 - 26*l**2 - 8 = 0?
1, 2
Let r(u) be the first derivative of u**5/5 - 13*u**4/20 + 3*u**3/5 + u**2/10 - 2*u/5 - 3. Factor r(f).
(f - 1)**3*(5*f + 2)/5
Suppose -51 = y - 53. Let m(f) be the second derivative of -1/6*f**4 - 1/16*f**5 + 0 + 1/6*f**3 - 3*f + 0*f**y. Factor m(l).
-l*(l + 2)*(5*l - 2)/4
Let b(l) = l**2 + 8*l + 4. Let o be b(-8). Factor 2*j**4 + 2*j**3 + 0*j**o + 3 - 3.
2*j**3*(j + 1)
Suppose -68*q = -64*q. Let h(w) be the third derivative of q*w**4 - 1/60*w**6 - 1/30*w**5 + 4*w**2 + 0 + 0*w + 0*w**3. Factor h(y).
-2*y**2*(y + 1)
Let v(a) be the second derivative of 1/20*a**5 - 1/6*a**3 + 0 - 1/12*a**4 + 3*a + 1/2*a**2. Let v(m) = 0. Calculate m.
-1, 1
Let b(r) be the first derivative of 5*r**6/6 + r**5 - 5*r**4/2 - 10*r**3/3 + 5*r**2/2 + 5*r + 21. Determine s, given that b(s) = 0.
-1, 1
Let x(q) be the first derivative of 2/3*q - 5/9*q**3 - 1/2*q**2 - 1. Suppose x(u) = 0. What is u?
-1, 2/5
Factor -50 + 48 - 6*y**2 - 2*y**3 + 4*y**3 + 6*y.
2*(y - 1)**3
Let l(k) be the second derivative of k**7/1680 + k**6/160 + k**5/40 + k**4/24 + k**3/2 + 4*k. Let h(x) be the second derivative of l(x). Solve h(f) = 0 for f.
-2, -1/2
Let w(s) be the first derivative of s**8/2520 - s**7/630 + s**6/540 + s**3 + 1. Let c(j) be the third derivative of w(j). Find z such that c(z) = 0.
0, 1
Let t(o) be the second derivative of -1/42*o**3 + 0 - 1/140*o**5 - 3*o - 1/42*o**4 + 0*o**2. Determine g so that t(g) = 0.
-1, 0
Factor -3*h**3 + 0*h + 0*h**2 + 0 + 21/2*h**4.
3*h**3*(7*h - 2)/2
Suppose 0 = 5*i - 6 - 14. Determine b so that -i*b**4 - 3*b**5 - 4*b**2 + 2*b**3 - 4*b - 8*b**3 + 2*b**5 + 3*b = 0.
-1, 0
Determine b so that 1011*b + 11*b**3 - 4*b**5 - 1018*b + 4*b**4 + 2*b**2 - 2 - 4*b**2 = 0.
-1, -1/2, 1, 2
Let n = 27333/1910 - 143/10. Let f = n - -183/764. Let 0*j + 1/4*j**2 - f = 0. Calculate j.
-1, 1
Let n(r) be the third derivative of r**8/112 + r**7/70 - r**6/20 - 6*r**2. Solve n(z) = 0.
-2, 0, 1
Let z(a) be the first derivative of a**7/525 - a**6/100 + a**5/150 + a**4/20 - 2*a**3/15 - a**2/2 - 2. Let l(i) be the second derivative of z(i). Factor l(j).
2*(j - 2)*(j - 1)**2*(j + 1)/5
Let s(c) be the third derivative of c**8/6720 - c**7/1680 + c**6/1440 - c**3/3 + c**2. Let a(q) be the first derivative of s(q). Factor a(b).
b**2*(b - 1)**2/4
Let x be 76/18 + (-40)/10. Factor -x*z**2 + 2/9*z + 4/9.
-2*(z - 2)*(z + 1)/9
Let o(w) = -7*w**3 + 3*w**2 + 15*w + 15. Let z be 2/2 - -1*5. Let b(q) = -7*q + 2 + 0*q**3 - q**2 + 3*q**3 - 9. Let p(t) = z*o(t) + 13*b(t). Factor p(d).
-(d - 1)**2*(3*d + 1)
Let i = 2877898/2775 - 25793/25. Let b = i + -1/37. Factor s**3 + 4/3 + b*s + 13/3*s**2.
(s + 2)**2*(3*s + 1)/3
Let w(f) be the second derivative of 2*f**6/15 + 4*f**5/5 + 5*f**4/3 + 4*f**3/3 + 7*f. Factor w(y).
4*y*(y + 1)**2*(y + 2)
Let s(a) = a**2 - 5. Let y be s(3). Solve 0*i**5 + i**5 - 3*i + 2*i**5 - 5*i**y + 6*i**2 - i**4 = 0.
-1, 0, 1
Let j = -45 - -45. Solve -3/2*o**2 - 3/4*o + j - 3/4*o**3 = 0.
-1, 0
Let g = 2/55 - -139/715. Let p = g + 17/39. Solve 1/3*q**2 + 0*q + 0 + 1/3*q**4 - p*q**3 = 0 for q.
0, 1
Let q(z) = -z**2 + 1. Let i(k) = 2 + 0 + 2*k**3 + 2. Let n(c) = i(c) - 4*q(c). Let n(g) = 0. What is g?
-2, 0
Let c = -320/41 + 4921/205. Solve 6/5 + 21/5*y**4 - 39/5*y - 69/5*y**3 + c*y**2 = 0 for y.
2/7, 1
Suppose 0 = -23*z - 13 + 82. Suppose 1/3*l + 2/3 - 1/3*l**z - 2/3*l**2 = 0. What is l?
-2, -1, 1
Let t(h) be the third derivative of -h**9/90720 - h**5/60 + h**2. Let o(g) be the third derivative of t(g). What is l in o(l) = 0?
0
Factor 1/2*h**2 + 0*h - 1/2.
(h - 1)*(h + 1)/2
Let h = 3 + -3. Suppose -3*x = -5*c + 6, -3*x - 6 = 3*c - h*c. Factor 2/3*s + 0 + c*s**2 - 2/3*s**3.
-2*s*(s - 1)*(s + 1)/3
Let q(d) = -18*d**2 - 6*d + 15. Let k(n) = n**2 - 1. Let g(m) = 15*k(m) + q(m). Solve g(c) = 0 for c.
-2, 0
Let n(y) = 3*y**2 - y**3 - 5*y**2 + 2*y**2. Let s be n(0). Factor 2/3*k + 2/3*k**2 + s.
2*k*(k + 1)/3
Let v(s) = s**3 - 8*s**2 + 7*s. Let p be v(7). Let u(f) be the first derivative of 2/9*f**3 + p*f + 2 - 1/6*f**4 + 0*f**2. Factor u(m).
-2*m**2*(m - 1)/3
Let c be -1 + 4/(120/78). Determine d so that c*d**2 + 0 - 18/5*d**4 - 8/5*d + 18/5*d**3 = 0.
-2/3, 0, 2/3, 1
Let f(l) be the second derivative of 3*l**5/80 - l**3/8 + 6*l. Determine a so that f(a) = 0.
-1, 0, 1
Let n(r) be the third derivative of -r**5/80 + r**4/16 - r**3/8 + 9*r**2. Factor n(v).
-3*(v - 1)**2/4
Suppose 36*f = 56*f. Let x = 0 - 0. Determine v so that 1/4*v**2 + f + x*v = 0.
0
Let n be 2/(3 - -3)*6. Find r such that -4*r**3 + 0 + 2*r**4 + 0 + 4*r**n - 3*r**3 + 4*r = 0.
-1/2, 0, 2
Let j(o) be the first derivative of -2*o**2 + 3/4*o**4 + 4/3*o**3 - 1/6*o**6 + 0*o - 2/5*o**5 + 3. Factor j(v).
-v*(v - 1)**2*(v + 2)**2
Let k = 47/66 + -6/11. Let c(b) be the third derivative of 0 + k*b**3 + 1/60*b**5 + 0*b + 1/12*b**4 - 3*b**2. What is d in c(d) = 0?
-1
Let c(b) = -b**3 + 5 - 3 - 11*b**2 + 5*b**2. Let u be c(-6). Factor -3*x**2 + 3*x**3 + 3*x - 1 - u*x**3 + 0*x**2.
(x - 1)**3
Let z(p) = -10*p**2 + 33*p - 2. Let h(q) = 9*q**2 - 33*q + 3. Let b(l) = -6*h(l) - 5*z(l). Suppose b(x) = 0. Calculate x.
1/4, 8
Let y(d) be the second derivative of 0*d**2 + 0 + 2*d + 1/6*d**4 - 1/3*d**3. Determine r so that y(r) = 0.
0, 1
Let x(p) = -3*p**3 - 2*p**2 + 3*p + 2. Let z be x(-2). Suppose z = 2*i + i. Find v, given that 2/11*v**5 - 4/11 + 6/11*v + 0*v**i - 8/11*v**3 + 4/11*v**2 = 0.
-2, -1, 1
Let g(u) = 3*u**4 - 10*u**3 - 5*u**2 + 10*u - 2. Let x(v) = 2*v**4 - 10*v**3 - 5*v**2 + 10*v - 3. Let q(p) = 3*g(p) - 2*x(p). Solve q(s) = 0.
-1, 0, 1, 2
Le