+ 7*n**2 - 3*n**2 - k*n**4 + n**4.
-2*(n - 1)**2*(n + 1)**2
Let g = 59/306 - -1/34. Let j = g + 4/9. Factor 10/9*w**3 + j*w**2 + 8/9 - 8/3*w.
2*(w - 1)*(w + 2)*(5*w - 2)/9
What is w in -2/7*w**4 + 2/7*w + 6/7*w**2 - 2/7*w**3 - 4/7 = 0?
-2, -1, 1
Suppose -1 + 13 = 4*u. Let z(a) be the third derivative of 3*a**2 + 0*a**u - 1/20*a**5 - 1/210*a**7 + 0*a - 1/24*a**4 - 1/40*a**6 + 0. Factor z(v).
-v*(v + 1)**3
Let p(s) be the first derivative of -2*s**3 + 15*s**2/2 - 6*s - 1. Let p(l) = 0. What is l?
1/2, 2
Let q(p) be the third derivative of p**7/6720 + p**6/1440 + 7*p**3/6 + 5*p**2. Let i(b) be the first derivative of q(b). Determine g, given that i(g) = 0.
-2, 0
Let y be -1 - (3 + -3 + -1). Let n(k) be the third derivative of -1/6*k**3 - 1/30*k**6 - 2*k**2 - 1/10*k**5 - 1/6*k**4 - 1/210*k**7 + 0 + y*k. Factor n(b).
-(b + 1)**4
Let u(y) be the first derivative of -y**3/21 - 2*y**2/7 - 3*y/7 - 6. Factor u(r).
-(r + 1)*(r + 3)/7
Let f(l) be the first derivative of -2/5*l**5 - 6 - 2*l**4 + 0*l**2 - 8/3*l**3 + 0*l. Factor f(i).
-2*i**2*(i + 2)**2
Let u(d) be the first derivative of d**6/33 - 6*d**5/55 + 3*d**4/22 - 2*d**3/33 - 2. Let u(s) = 0. Calculate s.
0, 1
Factor -7/4*x + 1/2 - 1/2*x**2 + 7/4*x**3.
(x - 1)*(x + 1)*(7*x - 2)/4
Let z(x) be the second derivative of -x**6/60 + x**5/10 - 29*x. Let z(j) = 0. Calculate j.
0, 4
Suppose 0 = -3*o - 4*d + 192, d - 6*d = -o + 45. Solve -j - 58*j**2 + 18 + o*j**2 - 11*j = 0.
3
Let t(v) be the first derivative of 2*v**5/65 + 2*v**4/13 + 4*v**3/13 + 4*v**2/13 + 2*v/13 - 50. Factor t(i).
2*(i + 1)**4/13
Let h = 2 + 0. Suppose 0 = -2*y - d + 9, 0*y - h*d + 8 = -y. Determine m, given that 3*m - m + 4*m - y*m**5 + 6*m**4 - 2 - 4*m**3 - 4*m**2 = 0.
-1, 1
Let 674 + 4*t**2 - 8*t**3 + 2*t**4 - 342 + 8*t - 338 = 0. Calculate t.
-1, 1, 3
Let v be (-58)/145 + 2*(-22)/(-10). Find o such that -3/7*o**v - 2/7*o**3 + 0 + 2/7*o + 3/7*o**2 = 0.
-1, -2/3, 0, 1
Let r be (15/(-25))/((-2)/10). Suppose -4*f = -0*f, 3*w = r*f + 9. Factor z**w + 3*z**5 - 4*z**5 + 2*z**4 + 0*z**5 - 2*z**2.
-z**2*(z - 2)*(z - 1)*(z + 1)
Let q(p) be the second derivative of -1/20*p**5 + 3*p - 1/6*p**3 + 0*p**2 + 0 + 5/24*p**4. Find m, given that q(m) = 0.
0, 1/2, 2
Let j(t) = t**2 - t + 1. Let b = -8 + 13. Let n(y) = -2*y**2 + 2 - b*y**2 + 2*y - 3 + 4*y**2. Let s(q) = -2*j(q) - n(q). Factor s(x).
(x - 1)*(x + 1)
Let a be (-2)/(-7) + (-795)/(-35). Let w = a + -5. Factor -w*s**2 + 4 + 10*s**3 - 3*s + 14*s**4 + 0*s - s - 6*s.
2*(s - 1)*(s + 1)**2*(7*s - 2)
Let h(m) = -m**2 - 9*m - 6. Let y be h(-8). Find l such that -2*l**2 + 2 - y*l**4 - 2 - 2*l**3 + 6*l**3 = 0.
0, 1
Let a = 1507/3 + -501. Let 4/3*p - a + 8/3*p**2 = 0. What is p?
-1, 1/2
Let k(l) = -38*l**5 + 22*l**4 + 47*l**3 - 25*l**2 - 13*l - 3. Let a(j) = -j**5 - j**4 - j**2 - j - 1. Let y(m) = -2*a(m) + k(m). Find c such that y(c) = 0.
-1, -1/6, 1
Let b(n) be the first derivative of -n**6/120 - 2*n**3/3 - 3. Let k(l) be the third derivative of b(l). Factor k(z).
-3*z**2
Let z(w) = -2*w**2 + w + 5. Let s(p) = 2*p + 5 - 2*p**2 + 3 - 2. Let j(t) = -5*s(t) + 6*z(t). Factor j(v).
-2*v*(v + 2)
Suppose 7*g = 18*g. Factor 0 + 8/7*b**2 + g*b**3 - 4/7*b**5 + 4/7*b - 8/7*b**4.
-4*b*(b - 1)*(b + 1)**3/7
Factor -16/5 - 188*b**3 - 140*b**4 - 116*b**2 - 32*b - 196/5*b**5.
-4*(b + 1)**3*(7*b + 2)**2/5
Let a(j) be the first derivative of -3 + 0*j - 1/9*j**2 + 2/27*j**3. Let a(o) = 0. Calculate o.
0, 1
Let t = -697 + 16859/24. Let x = t - 33/8. Determine h, given that 2*h + x + 2/3*h**2 = 0.
-2, -1
Let v(s) = -s**3 - s + 9. Let u be v(0). Let t be (-5)/30*u/(-6). Factor -t*x**3 - 1/4*x**4 + 3/4*x**2 + 1/2 + 5/4*x.
-(x - 2)*(x + 1)**3/4
Let s be 18 - (6 + -3)*-1. Let w(v) = -v**3 + v**2 - 2. Let m(k) = 3*k**3 - 3*k**2 + 7. Let o(a) = s*w(a) + 6*m(a). Solve o(f) = 0 for f.
0, 1
Let m(k) be the third derivative of 0*k**6 + 2*k**2 + 0*k + 0*k**5 + 0 + 1/672*k**8 + 0*k**3 + 0*k**4 - 1/420*k**7. Solve m(t) = 0.
0, 1
Let w = 287 + -287. Factor 2/5*c**3 + 4/5*c**4 + 0*c**2 + 2/5*c**5 + 0 + w*c.
2*c**3*(c + 1)**2/5
Let s(q) be the third derivative of -q**7/210 + q**5/60 + 2*q**2. Factor s(m).
-m**2*(m - 1)*(m + 1)
Suppose 0 = -2*h - 7 + 15. Let s(l) be the second derivative of 0 - 1/6*l**h - l + 0*l**3 + 0*l**2. Solve s(a) = 0.
0
Let h(d) be the third derivative of 1/1008*d**8 + 0*d**6 + 0 + 0*d**3 - 1/72*d**4 + 2*d**2 - 1/90*d**5 + 1/315*d**7 + 0*d. Find t, given that h(t) = 0.
-1, 0, 1
Let h(g) = 13*g**4 + 5*g**3 + 5*g**2 + 13*g. Let r = 17 - 12. Let c(u) = 6*u**4 + r*u + 0*u**2 + 2*u**2 + 2*u**3 + u. Let o(s) = 9*c(s) - 4*h(s). Factor o(v).
2*v*(v - 1)**2*(v + 1)
Let d(k) be the first derivative of -k**6/120 + k**5/80 + k**4/48 - k**3/24 + k + 1. Let w(s) be the first derivative of d(s). Factor w(l).
-l*(l - 1)**2*(l + 1)/4
Let o(g) be the first derivative of -g**4/30 + 4*g**3/45 + 11. Factor o(q).
-2*q**2*(q - 2)/15
Let o(a) be the third derivative of 1/30*a**3 + 1/60*a**4 + 5*a**2 + 0 + 1/300*a**5 + 0*a. Find d, given that o(d) = 0.
-1
Let u = -5 + 27. Suppose 4*v = -g + 4*g - u, 5*g - 4*v - 26 = 0. Factor -2*s**2 + 3*s**2 + 0*s**2 - 4*s + g*s.
s*(s - 2)
Let c(j) be the first derivative of -3 + 4/3*j**3 + 2/3*j + 3/2*j**2 + 5/12*j**4. Factor c(y).
(y + 1)**2*(5*y + 2)/3
Let d(r) be the first derivative of 1/36*r**6 - 1/6*r - 1/30*r**5 - 1/12*r**4 - 1 + 1/12*r**2 + 1/9*r**3. Suppose d(v) = 0. Calculate v.
-1, 1
Let k = 17 - 17. Let y(d) be the second derivative of -7/3*d**6 + 5/3*d**4 + k + 0*d**2 - 2/3*d**3 - 3*d + 3/20*d**5 - 7/6*d**7. Factor y(g).
-g*(g + 1)**2*(7*g - 2)**2
Solve 6*b**2 + 3/4 - 27/4*b = 0 for b.
1/8, 1
Let a(s) be the third derivative of s**6/160 - s**5/80 - s**4/32 + s**3/8 + 13*s**2. Solve a(b) = 0 for b.
-1, 1
Factor 0 - 4/5*o - 4/5*o**3 - 8/5*o**2.
-4*o*(o + 1)**2/5
Let y(z) be the second derivative of -3*z - 1/18*z**3 + 0*z**2 + 0 + 1/18*z**4 - 1/60*z**5. Suppose y(f) = 0. Calculate f.
0, 1
Let w = -13 - -15. Suppose -5*d - d + d**w + 4*d + 0*d = 0. What is d?
0, 2
Let u be 0 + 2 - 1 - -2. Let d be u/6 - (-2)/12. Factor -2/3*b**2 - d*b**3 + 2/3*b**5 + 2/3*b**4 + 0 + 0*b.
2*b**2*(b - 1)*(b + 1)**2/3
Suppose 2*q = -q. Factor 7*v**3 + q*v**3 + 3*v**3 - 5*v**3 - 3*v**4 - 2*v**2.
-v**2*(v - 1)*(3*v - 2)
Let s(r) = -r**3 - 7*r**2 - 7*r - 5. Let z be s(-6). Let o be 3 + ((-2)/z)/2. Suppose o*b - 3*b - 3*b**2 - 5*b - 3 = 0. Calculate b.
-1
Suppose -136*i = -142*i + 12. Factor 0 + 3/2*o - 3/4*o**3 + 3/4*o**i.
-3*o*(o - 2)*(o + 1)/4
Suppose 9/5 - 9/5*i**2 - 24/5*i = 0. What is i?
-3, 1/3
Let s(k) be the third derivative of -k**9/20160 - k**8/6720 + k**7/1680 + k**6/240 + k**5/20 + 5*k**2. Let y(o) be the third derivative of s(o). Factor y(w).
-3*(w - 1)*(w + 1)**2
Let q = -2/595 - -599/1190. Factor -l + q*l**2 + 0.
l*(l - 2)/2
What is k in 2/5 - 2/5*k**2 + 0*k = 0?
-1, 1
Suppose 0 = -5*r + b + 13, -r + 4*b - 5 = -0*r. Let v(o) be the second derivative of o - 1/20*o**5 + 0*o**2 + 0 + 1/6*o**r - 1/12*o**4 + 1/30*o**6. Factor v(q).
q*(q - 1)**2*(q + 1)
Let o(i) be the second derivative of 0 - 1/11*i**3 - 2/11*i**2 - 4*i - 1/66*i**4. Factor o(v).
-2*(v + 1)*(v + 2)/11
Let b(w) = -w**2 - 3. Suppose 3*g - 153 = 6*g. Let f(i) = -9*i**2 - 25. Let o(d) = g*b(d) + 6*f(d). Factor o(y).
-3*(y - 1)*(y + 1)
Let s(v) be the second derivative of -v**7/14 + 3*v**5/20 - 24*v. Determine y, given that s(y) = 0.
-1, 0, 1
Suppose o - 3*k = -3*o + 40, 3*o - 4*k = 37. Let x = -2 + o. Find i such that -3*i**3 - x*i**3 + 2*i + 4*i**3 + 2*i**5 + 0*i = 0.
-1, 0, 1
Let a(q) be the second derivative of 3*q**5/10 + 7*q**4/24 + q**3/12 - 6*q. Factor a(v).
v*(3*v + 1)*(4*v + 1)/2
Find k such that -2 - 20*k**2 - 19*k**2 + 41*k**2 = 0.
-1, 1
Let j(d) be the first derivative of 2*d**3/21 + d**2/7 - 4*d/7 - 7. Factor j(g).
2*(g - 1)*(g + 2)/7
What is i in 128 - 125*i**4 + 832*i - 155*i**4 + 89*i**5 + 1088*i**2 + 107*i**5 - 992*i**3 = 0?
-2, -2/7, 2
Factor -2/3*n**4 + 0 + 2/3*n**2 + 0*n**3 + 0*n.
-2*n**2*(n - 1)*(n + 1)/3
Suppose 3*c = c + 30. Suppose 0 = -10*v + 5*v + c. Let 0*x**2 - 3*x + 10*x**v - 6*x**2 + 2 - 3*x**2 = 0. What is x?
-1/2, 2/5, 1
Let -29*d**3 + 130*d**4 + 54*d**3 + 20*d**2 - 20*d + 60*d**3 + 35*d**5 + 50*d**3 = 0. Calculate d.
-2, -1, 0, 2/7
Let n be (110/(-75))/(-1) - 2. Let m = -2/15 - n. What is d in 9/5*d**2 - m - d - 