.
y*(y + 2)
Find g such that -2/5*g**3 + 26/5*g**2 + 6/5 - 49/10*g = 0.
1/2, 12
Let k(w) = w**4 + 45*w**3 + 73*w**2 + 55*w + 10. Let c(i) = i**4 + 30*i**3 + 49*i**2 + 37*i + 7. Let x(a) = -8*c(a) + 5*k(a). Factor x(n).
-3*(n + 1)**3*(n + 2)
Let k be (-10)/(-3)*24/20. Let v(t) be the first derivative of 2/27*t**3 + 1 - 2/9*t + 1/9*t**2 - 1/18*t**k. Factor v(f).
-2*(f - 1)**2*(f + 1)/9
Determine h so that 0 - 4/5*h**3 + 8/5*h**2 - 4/5*h = 0.
0, 1
Let y(o) be the second derivative of -2*o + 0 + 8/15*o**3 - 2/5*o**4 - 2/75*o**6 - 1/5*o**5 + 16/5*o**2. Factor y(r).
-4*(r - 1)*(r + 2)**3/5
Let h be 600/(-156) - (-4 - 0). What is j in 4/13*j**3 - 4/13*j**2 + 2/13 - 2/13*j**5 + 2/13*j**4 - h*j = 0?
-1, 1
Find u, given that 260/3*u**3 - 320/3*u**5 + 80*u**4 + 20*u - 235/3*u**2 - 5/3 = 0.
-1, 1/4, 1
Let w(i) = i**2 + 5*i - 3. Let u(g) = 6*g**2 + 28*g - 19. Let n(b) = 6*u(b) - 34*w(b). Factor n(p).
2*(p - 3)*(p + 2)
Let n(z) = z**3 - z**2 - z + 1. Let k(d) = 12*d**4 + 17*d**3 - 2*d**2 + 4*d - 4. Let m(j) = k(j) + 4*n(j). Factor m(u).
3*u**2*(u + 2)*(4*u - 1)
Let m(y) be the second derivative of -1/3*y**3 + 1/3*y**4 + 0*y**2 + 4*y - 1/10*y**5 + 0. Factor m(k).
-2*k*(k - 1)**2
Let y(l) = l**3 - l**2 + l - 1. Let k(v) = -v**5 + 5*v**4 - 6*v**3 - 10*v**2 + 5*v + 15. Let z(q) = -2*k(q) - 6*y(q). Determine n so that z(n) = 0.
-1, 2, 3
Factor 1/4*k**3 - 1/4*k**2 + 0 - 1/4*k + 1/4*k**4.
k*(k - 1)*(k + 1)**2/4
Let f = -18 - -30. Determine b so that 3 + 6 - f*b + 2*b**2 + 9 = 0.
3
Let q be (-5)/(4 + 0 + -5). Factor -3/4*i**q - 5/4*i**4 + 0*i**2 - 1/2*i**3 + 0*i + 0.
-i**3*(i + 1)*(3*i + 2)/4
Suppose -7*n = -2*n + 5. Let b = n + 3. Factor 2/7*f**b + 0*f - 2/7.
2*(f - 1)*(f + 1)/7
Let n(k) be the first derivative of 2*k + 0*k**2 + 3 - 2/3*k**3. Factor n(a).
-2*(a - 1)*(a + 1)
Let d(l) be the second derivative of l**7/483 - 2*l**6/345 - l**5/115 + 2*l**4/69 + l**3/69 - 2*l**2/23 + 10*l. What is b in d(b) = 0?
-1, 1, 2
Let y(o) be the third derivative of -o**8/17640 - o**7/4410 - o**6/2520 + 7*o**5/60 - 7*o**2. Let t(c) be the third derivative of y(c). Solve t(h) = 0 for h.
-1/2
Suppose 0 = -t + 3*q + 13, 0 = -5*t + 3*q + 10 + 19. Let u be (0/t)/2 + 0. Factor 2/9*f**5 + u - 4/9*f**4 + 0*f**2 + 2/9*f**3 + 0*f.
2*f**3*(f - 1)**2/9
Let b be (-33)/198 - (-38)/12. Find f, given that -9/5*f**5 + b*f**4 + 0 - 3*f**2 + 3/5*f**3 + 6/5*f = 0.
-1, 0, 2/3, 1
Let k(t) = -14*t**2 + 3*t. Let q be k(2). Let h = q - -201/4. Determine b, given that 1/4*b**2 + 1/4*b - 1/4*b**3 - h = 0.
-1, 1
Let z(o) be the third derivative of -o**10/136080 + o**8/15120 - o**6/3240 - o**4/8 + 3*o**2. Let d(y) be the second derivative of z(y). Factor d(b).
-2*b*(b - 1)**2*(b + 1)**2/9
Suppose 3*m - j = -1, -m + 3*j - j + 3 = 0. Let q be ((2 + m)*0)/(-2). Factor 0*b + 2/9*b**3 + q - 2/9*b**2.
2*b**2*(b - 1)/9
Factor -4/7*x**4 + 4/7*x**5 + 0 - 12/7*x**3 + 20/7*x**2 - 8/7*x.
4*x*(x - 1)**3*(x + 2)/7
Let c(o) be the first derivative of -4*o - 2/3*o**3 - 3*o**2 - 6. Solve c(t) = 0.
-2, -1
Suppose 3*r - 12 = -3. Suppose -8*b + 4*o + 4 = -r*b, 0 = -4*b - 3*o - 3. Factor 2/5*x**3 + 0*x**4 - 2/5*x**5 + 0*x + b + 0*x**2.
-2*x**3*(x - 1)*(x + 1)/5
Let f be 15/(-10) + 27/14. Let q(y) be the first derivative of -2 - 2/21*y**3 - 4/7*y + f*y**2. Factor q(v).
-2*(v - 2)*(v - 1)/7
Let k be (-1 + 5)*4/8. Let -u**3 + 5*u**2 - 2*u**3 - k*u**2 = 0. Calculate u.
0, 1
Let b be (-102)/8*(-12)/18. Let j = b - 8. Find g, given that 1/2*g**2 - 1/2*g**3 + 1/2*g**5 + 0 - j*g**4 + 0*g = 0.
-1, 0, 1
Let w = -7 + 43/6. Let t(g) be the second derivative of 0*g**2 + g + 0 + 1/3*g**3 + w*g**4. Suppose t(c) = 0. What is c?
-1, 0
Let a(p) be the third derivative of -p**5/48 - 37*p**2. Factor a(k).
-5*k**2/4
Let q(k) = -10*k**2 + 11*k - 11. Suppose -r = 4*o - o + 25, -3*r = -o + 65. Let l(u) = -u**2 + u - 1. Let s(f) = r*l(f) + 2*q(f). Suppose s(n) = 0. Calculate n.
0
Let n = -1/850 + 213/425. Let 1/4*w**2 + n*w + 0 = 0. What is w?
-2, 0
Let x(a) be the second derivative of 0*a**2 + 5/24*a**4 + 0 + 1/6*a**3 + 4*a. Determine p so that x(p) = 0.
-2/5, 0
Let w(t) be the first derivative of -t**7/840 - t**6/72 - t**5/15 - t**4/6 + t**3 - 7. Let r(c) be the third derivative of w(c). Determine i so that r(i) = 0.
-2, -1
Let u = 5 + -3. Let y be -2 + 9/1 - u. Let 4 - 2*z**y - 4 + 2*z**3 = 0. Calculate z.
-1, 0, 1
Let g = -10 + 7. Let u(k) = 4*k**2 + 2*k. Let w(y) = -5*y**2 - 3*y. Let h(s) = g*w(s) - 4*u(s). Suppose h(x) = 0. Calculate x.
0, 1
Let f be 0 + (-2)/19 + 2600/1235. Factor 0 + 2/5*a**4 + 2/5*a - 2/5*a**f - 2/5*a**3.
2*a*(a - 1)**2*(a + 1)/5
Let z = 2/647 - -607/12940. Let d(f) be the second derivative of -5/48*f**4 + 1/24*f**3 + 0*f**2 + 0 - 3*f + z*f**5. Solve d(w) = 0.
0, 1/4, 1
Let a = 13 + -11. Determine i, given that 4*i**3 - 6*i**3 + 2*i**2 - a*i**4 + 2*i**2 = 0.
-2, 0, 1
Let x = 899/54 + 1/54. Factor 0 + x*h**4 - 10/3*h**3 - 32/3*h**2 - 8/3*h.
2*h*(h - 1)*(5*h + 2)**2/3
Let f(k) be the second derivative of -k**7/105 + 2*k**6/75 - 5*k. Factor f(l).
-2*l**4*(l - 2)/5
Let g(u) be the first derivative of u**6/3 + 12*u**5/5 + 11*u**4/2 + 4*u**3/3 - 12*u**2 - 16*u - 11. Factor g(x).
2*(x - 1)*(x + 1)*(x + 2)**3
Let w(f) be the second derivative of 8/15*f**3 + 3*f + 3/25*f**5 - 3/25*f**6 + 0*f**2 + 2/3*f**4 + 0. Factor w(s).
-2*s*(s - 2)*(3*s + 2)**2/5
Let k(b) be the second derivative of b**5/130 - b**4/78 - 21*b. Factor k(h).
2*h**2*(h - 1)/13
Let n be 25/9*(-3)/(-5). Factor -n*m**4 + 0 + 0*m - 7/3*m**3 - 2/3*m**2.
-m**2*(m + 1)*(5*m + 2)/3
Suppose 0 = -5*x + 5*n + 20, 18 = 2*x + 3*x - 3*n. Let b(m) = m**3 + 2*m**2 - m. Let p be b(-2). Factor d**4 + 0*d**4 - p*d**x + 0*d**3.
d**3*(d - 2)
Let g(b) be the third derivative of b**7/175 - 3*b**6/25 + 23*b**5/25 - 3*b**4 + 5*b**3 + 28*b**2. Factor g(p).
6*(p - 5)**2*(p - 1)**2/5
Let b(i) = i**3 + 3*i**2 - 4*i + 4. Let w be b(-4). Let d(f) be the first derivative of 1/9*f**3 + 2/3*f**2 - 1/3*f - 2 - 1/3*f**w. Find u, given that d(u) = 0.
-1, 1/4, 1
Find h, given that 2/5*h**2 - 8/5*h + 8/5 = 0.
2
Let x be (-4)/(-2) - (-2)/(8/(-6)). Factor -7/4*c**3 - x*c + 0 + 9/4*c**2.
-c*(c - 1)*(7*c - 2)/4
Factor -1/3*o**2 + 0 - o.
-o*(o + 3)/3
Let d(s) be the second derivative of s**4/24 - s**3/4 - s**2 - 13*s. Suppose d(m) = 0. Calculate m.
-1, 4
Let q(c) = -c**4 - c**3 - c. Let x(z) = 5*z**4 + z**3 + 3*z**2 + 3*z. Let y(h) = 4*q(h) + x(h). Factor y(f).
f*(f - 1)**3
Let j be ((-1)/2)/(5/(-30)). Factor 2 - 2*i**4 + 0*i**j + 0*i**3 + 6*i**2 - 8*i + 4*i**3 - 10.
-2*(i - 2)**2*(i + 1)**2
Let q be (1 - 0)/(4/6). Let j = -43 + 43. Factor -3*l**2 - 3/2*l**3 + j - q*l.
-3*l*(l + 1)**2/2
Let f(r) be the second derivative of r**6/210 - r**5/140 - 3*r**4/28 - 11*r**3/42 - 2*r**2/7 - 29*r. Factor f(m).
(m - 4)*(m + 1)**3/7
Let k be (-2 + -13)/(-3) + -3. Factor 4*s**3 - 2*s**3 - 2*s**2 + s + 4 - 2*s**k - 3*s.
2*(s - 2)*(s - 1)*(s + 1)
Let i(c) be the first derivative of -c**4/6 + 2*c**3/3 - 8*c/3 - 50. Suppose i(l) = 0. Calculate l.
-1, 2
Suppose 0 = -0*i + 3*i - 4*t + 23, -i - 3*t = -14. Let q be ((-165)/(-10))/3 + i. Let -q*c**2 + 0 + 3*c + 3/2*c**3 = 0. Calculate c.
0, 1, 2
Let i(t) be the second derivative of -1/2*t**3 + 1/20*t**5 + 0 - t - 1/8*t**4 + 1/40*t**6 + t**2. Let a(h) be the first derivative of i(h). Factor a(x).
3*(x - 1)*(x + 1)**2
Let a be (-29)/(-30) + 40/(-50). Solve 1/6*b**5 + 0*b + a*b**4 + 0 - 1/6*b**2 - 1/6*b**3 = 0 for b.
-1, 0, 1
Let b(z) be the second derivative of z**4/78 + 2*z**3/39 + 3*z. Find d such that b(d) = 0.
-2, 0
Let q(s) be the third derivative of s**8/26880 + s**7/3360 - 7*s**5/60 + 5*s**2. Let t(h) be the third derivative of q(h). Factor t(b).
3*b*(b + 2)/4
Let d(f) be the second derivative of -f**6/45 + f**5/30 + f**4/3 + 31*f. Factor d(i).
-2*i**2*(i - 3)*(i + 2)/3
Let w(a) be the second derivative of -a**7/735 - 17*a**6/1260 - a**5/21 - a**4/21 - 2*a**3/3 + 5*a. Let m(d) be the second derivative of w(d). Factor m(l).
-2*(l + 2)**2*(4*l + 1)/7
Let q = 16 - 10. Suppose 15*r + q*r + 15*r**2 + 9 - 3 = 0. Calculate r.
-1, -2/5
Let o(s) be the third derivative of s**7/1155 - s**6/220 - s**5/22 - 17*s**4/132 - 2*s**3/11 + 48*s**2. Let o(z) = 0. Calculate z.
-1, 6
Let r(x) be the third derivative of -3*x**8/560 + 11*x**7/350 - 3*x**6/100 - 3*x**5/25 + x**4/5 - 16*x**2 + 1. Solve