8*w**2 - 3 + w - 5*w = 0.
-3, -1
Let n(h) be the first derivative of 0*h**2 - 1/4*h**4 + 0*h - 1/5*h**5 - 1/9*h**3 - 14 - 1/18*h**6. Suppose n(o) = 0. Calculate o.
-1, 0
Let m = 6993 - 6991. Factor -2/7*n**3 - 2/7 + 2/7*n**m + 2/7*n.
-2*(n - 1)**2*(n + 1)/7
Let r(o) be the third derivative of -o**6/1140 + o**5/57 - 3*o**4/76 + 5*o**2 + 4*o. Suppose r(p) = 0. Calculate p.
0, 1, 9
Let b be (16/(-20))/(8/(-20)). Find u, given that -2*u**4 + 6*u - 4 - u**4 - 6*u**3 + 2*u**b + 5*u**4 + 0*u**2 = 0.
-1, 1, 2
Let k(v) be the first derivative of 20*v**4 + 15*v + 125/2*v**2 - 22 + 280/3*v**3. Suppose k(w) = 0. What is w?
-3, -1/4
Let c(i) be the first derivative of -5/3*i**3 + 70*i - 51 - 65/2*i**2. Factor c(n).
-5*(n - 1)*(n + 14)
Solve 1/2 - 3*y**2 - 3/2*y**5 - 11/2*y**4 - 7*y**3 + 1/2*y = 0 for y.
-1, 1/3
Let w(p) be the third derivative of -8*p**2 + 0*p + 2/15*p**6 + 1/3*p**4 + 0*p**3 + 2/105*p**7 + 0 + 1/3*p**5. Factor w(a).
4*a*(a + 1)**2*(a + 2)
What is c in 5*c**5 - 941*c**4 + 2*c**2 + 12*c**3 + 3*c**5 + 959*c**4 = 0?
-1, -1/4, 0
Let w(h) be the first derivative of -9*h**3 - 3*h**2 + 105. Factor w(a).
-3*a*(9*a + 2)
Factor -1/2*l**2 - l + 0 + l**3 + 1/2*l**4.
l*(l - 1)*(l + 1)*(l + 2)/2
Let u(h) be the second derivative of 1/6*h**4 - 2/21*h**7 + 0*h**2 + 0*h**3 - 1/5*h**6 - 24*h + 0 + 0*h**5. Factor u(t).
-2*t**2*(t + 1)**2*(2*t - 1)
Let w be 71/8 + 6/48. Factor -2*h**2 - w*h**2 + 15*h + 7*h**2 - h**2.
-5*h*(h - 3)
Let a = 1/3877 + 69781/19385. Factor -24/5*b - a*b**2 - 8/5.
-2*(3*b + 2)**2/5
Let w be (-3 - -1) + 8/3. Let g = -1383 - -1385. Factor 0*i + 0 - w*i**g.
-2*i**2/3
Let b(z) = z**4 + 58*z**3 + 44*z**2 - 274*z + 173. Let u(s) = 12*s**4 + 753*s**3 + 573*s**2 - 3561*s + 2250. Let r(p) = -27*b(p) + 2*u(p). Solve r(d) = 0 for d.
-19, -3, 1
Let v(a) be the second derivative of 0 - 15*a + 1/18*a**4 + 0*a**3 - 1/90*a**5 - 4/9*a**2. Factor v(c).
-2*(c - 2)**2*(c + 1)/9
Suppose -4*r - 17 + 25 = 0. Find d such that -14*d**4 - 2255*d**3 + 13*d**r + 5*d**4 + 7*d**5 + 2236*d**3 - 4 + 12*d = 0.
-1, 2/7, 1, 2
Let f(z) = 21*z**2 + 33*z - 45. Let r(p) = -5*p**2 - 8*p + 11. Suppose 18*m - 18 = 16*m. Let c(t) = m*r(t) + 2*f(t). Factor c(a).
-3*(a - 1)*(a + 3)
Let k be (0 - 12) + 17 - 14/4. Suppose 6 + k*h**2 - 6*h = 0. Calculate h.
2
Let a(v) = -17*v**3 - 7*v**2 - 13*v - 13. Let h be ((-75)/10)/(-5)*(-52)/6. Let y(l) = 8*l**3 + 4*l**2 + 6*l + 6. Let w(x) = h*y(x) - 6*a(x). Factor w(t).
-2*t**2*(t + 5)
Let w be 41/13 + (2 - (-56)/(-26)). Let v(z) = 7*z**2 - 27*z + 22. Let a(r) = -8*r**2 + 28*r - 23. Let s(j) = w*v(j) + 2*a(j). Let s(b) = 0. Calculate b.
1, 4
Factor -19*u**2 - 346 - 505 - 501 + 17*u**2 - 104*u.
-2*(u + 26)**2
Let i(z) be the first derivative of -2*z**6/45 - z**5/5 - 2*z**4/9 + 3*z - 12. Let g(y) be the first derivative of i(y). Determine n so that g(n) = 0.
-2, -1, 0
Let o(x) = -6*x + 52. Let d be o(8). Let s be 2/4 - (-9)/(-26). Factor 2/13*g**5 + 2/13*g - s - 4/13*g**3 + 4/13*g**2 - 2/13*g**d.
2*(g - 1)**3*(g + 1)**2/13
Let z(x) be the second derivative of -x**6/135 - 4*x**5/15 - 59*x**4/27 + 104*x**3/9 - 169*x**2/9 + 22*x - 2. Factor z(m).
-2*(m - 1)**2*(m + 13)**2/9
Let t be 95/38 - (0 + 1). Let a(u) be the second derivative of -t*u**2 - 1/8*u**4 - u + 3/4*u**3 + 0. Suppose a(w) = 0. Calculate w.
1, 2
Let r(y) = -10*y**3 - 15*y**2 + 3*y + 22. Let q(m) = -13 + 20 - 7*m**3 + 8 + 0*m - 10*m**2 + 2*m. Let b(k) = 7*q(k) - 5*r(k). Let b(a) = 0. What is a?
-5, -1, 1
Let l(z) be the first derivative of -3*z**4/20 - 8*z**3/5 + 33*z**2/10 + 54*z/5 + 239. Determine s so that l(s) = 0.
-9, -1, 2
Factor -346*s + 61*s - 13*s**3 - 72*s**2 + 10*s**3.
-3*s*(s + 5)*(s + 19)
Let w = -2/4173 + 12527/16692. Let h be ((-2)/(-6))/((-4)/(-33)). Factor -3*d - 1 - w*d**3 - h*d**2.
-(d + 1)*(d + 2)*(3*d + 2)/4
Let o(i) be the third derivative of -i**7/21 - i**6/5 + 11*i**5/15 + i**4 - 17*i**3/3 - 535*i**2. Solve o(h) = 0 for h.
-17/5, -1, 1
Let u(k) be the second derivative of -k**6/6 + k**5/20 + 7*k**4/6 + 4*k**3/3 - 41*k. Determine h, given that u(h) = 0.
-1, -4/5, 0, 2
Let q(j) be the second derivative of -j**4/4 + 170*j**3 - 43350*j**2 - 331*j. Determine w, given that q(w) = 0.
170
Suppose o = 0, -a + 3*o = a - 64. Let y be (-18)/(-5)*120/a. Let 21/2*u**4 - 3/2*u + 0 - y*u**3 - 3*u**5 + 15/2*u**2 = 0. Calculate u.
0, 1/2, 1
Let t(r) be the third derivative of 0 + 0*r**3 - 1/330*r**5 + 0*r - 1/132*r**4 + 17*r**2. Factor t(n).
-2*n*(n + 1)/11
Find h such that -1/5*h**2 - 21/5 + 22/5*h = 0.
1, 21
Let w = 150 - 85. Let y = 65 - w. Let 2/3 + y*h - 2/3*h**2 = 0. What is h?
-1, 1
Suppose -5*z**2 - 5773 - 4*z**3 - 8*z**2 + 5869 + 88*z + z**2 = 0. Calculate z.
-6, -1, 4
Suppose -2*j = -3*j + 2*a + 5, 5*a + 14 = 3*j. Let -7*t**2 + t**4 - 7*t**2 - 6*t**2 + j*t**3 + 22*t**2 = 0. What is t?
-2, -1, 0
Let t(h) be the second derivative of 11*h + 7/4*h**5 + 15/14*h**7 + 0*h**2 + 5/2*h**6 + 5/12*h**4 + 0 + 0*h**3. Factor t(u).
5*u**2*(u + 1)*(3*u + 1)**2
Let g(o) = -5*o**4 + 10*o**3 + 40*o**2 + 11*o + 22. Let u(p) = -p**4 + 2*p**3 + 8*p**2 + 2*p + 4. Let w(q) = 6*g(q) - 33*u(q). Factor w(i).
3*i**2*(i - 4)*(i + 2)
Let r(g) = -g**2 + 6*g + 10. Let h be r(7). Let q(k) = 2*k**2 + 2*k + 1. Let w be q(-2). Factor -6 - 3*m**h - w*m**2 + 0*m**2 + 6*m**2 + 3*m + 5*m**2.
-3*(m - 2)*(m - 1)*(m + 1)
Let k(o) be the first derivative of o**6/36 - o**5/30 - o**4/24 + o**3/18 - 174. Factor k(y).
y**2*(y - 1)**2*(y + 1)/6
Let d = 28 - 25. Factor 13*g**2 - 6*g**2 + d*g**2 - 5*g**3 + 15*g.
-5*g*(g - 3)*(g + 1)
Suppose 0 = -8*o + 1 + 15. What is j in 3 + 3*j**o - 6*j - j**2 - 2*j**2 + 3*j**2 = 0?
1
Suppose 8*j + 14 - 30 = 0. Suppose -1051 + 0*l**j + 140*l - 2*l**2 - 3*l**2 + 71 = 0. Calculate l.
14
Let m(l) be the second derivative of 3*l**5/10 - 104*l**4/3 - 47*l**3 + 70*l**2 + 205*l. Factor m(u).
2*(u - 70)*(u + 1)*(3*u - 1)
Let y(o) be the first derivative of o**3/3 - o**2 + o - 50. Factor y(k).
(k - 1)**2
Determine y so that y**4 + 8*y - 6*y**4 - 5*y**4 - 46*y**2 + 56*y**2 - 2*y**5 - 6*y**3 = 0.
-4, -1, 0, 1
Let u(h) be the second derivative of -h**4 - 1/5*h**5 + 4*h + 1 - 2/21*h**7 + 0*h**2 + 2/5*h**6 + 4/3*h**3. Suppose u(b) = 0. What is b?
-1, 0, 1, 2
Suppose 0 = -3*a + 5 + 4. Determine j, given that 3*j**a - 2*j**3 - 49*j**2 - 108*j + 13*j**2 - 5*j**3 - 108 = 0.
-3
Let u = 43 - 31. What is h in 12*h - 4*h**2 - u*h**3 + 1 + 6*h**3 + 7 - 6*h**3 - 4*h**4 = 0?
-2, -1, 1
Let m(o) be the first derivative of -o**7/280 - o**6/60 - 2*o**3 + 9. Let s(i) be the third derivative of m(i). Factor s(j).
-3*j**2*(j + 2)
Let u(l) be the first derivative of -3*l**5/5 - 57*l**4/4 - 123*l**3 - 903*l**2/2 - 588*l + 158. Solve u(j) = 0 for j.
-7, -4, -1
Let f(w) be the first derivative of 5*w**4/4 - 80*w**3/3 + 160*w**2 - 96. Factor f(z).
5*z*(z - 8)**2
Suppose -13 - 1/8*f**2 - 105/8*f = 0. Calculate f.
-104, -1
Let k = 67 + -65. Suppose -2*f + 4 = 6*c - c, -5*f = 15. Factor -7*v**2 + 3*v**4 + 2*v**2 - 3*v + 3*v**3 + 0*v + k*v**c.
3*v*(v - 1)*(v + 1)**2
Let g(k) be the second derivative of -2*k**7/105 + k**6/45 + k**5/45 - 4*k**2 - 20*k. Let x(p) be the first derivative of g(p). Factor x(t).
-4*t**2*(t - 1)*(3*t + 1)/3
Let t(y) be the first derivative of 3*y**4/40 - 7*y**3/30 - 3*y**2/10 - 31. Find d, given that t(d) = 0.
-2/3, 0, 3
Let h = 17 + -16. Factor 7 + 6*y**3 - 2*y**2 - h - 2*y**4 - 2 - 6*y.
-2*(y - 2)*(y - 1)**2*(y + 1)
Let i(z) = -z**4 + z**3 + z. Let w = -30 - -34. Let u(l) = -4*l**5 + 18*l**4 - 16*l**3 - 2*l**2. Let x(b) = w*i(b) + u(b). Solve x(j) = 0.
-1/2, 0, 1, 2
Let f(d) be the second derivative of -d**7/1680 + d**5/240 - d**3/3 + d**2 + 5*d - 1. Let r(j) be the second derivative of f(j). Factor r(p).
-p*(p - 1)*(p + 1)/2
Let y(m) be the first derivative of 5*m**6/2 - 87*m**5/5 + 78*m**4/5 - 4*m**3 - 96. Factor y(a).
3*a**2*(a - 5)*(5*a - 2)**2/5
Let p be 247/(-273)*7 + 13. Find a such that -5/3 - p*a**2 + 20/3*a = 0.
1/2
Let v be 6/(((-308)/18)/2). Let s = 14/11 + v. Factor 10/7*b + s - 2*b**2.
-2*(b - 1)*(7*b + 2)/7
Let d(x) be the third derivative of -x**8/1008 - x**7/180 - 7*x**6/720 - x**5/180 + 3*x**2 - 13*x. Solve d(y) = 0.
-2, -1, -1/2, 0
Factor 0 + 5/6*n + 15/2*n**3 - 25/3*n**2.
5*n*(n - 1)*(9*n - 1)/6
Let m(t) be the third derivative of t**6/180 - t**5/10 + 12*t**3 + 4*t**2 - 