tor 1/6*u**3 + 2/3 + 4/3*u + 5/6*u**2.
(u + 1)*(u + 2)**2/6
Let f(z) be the first derivative of z**4/4 - 17*z**3 + 867*z**2/2 - 4913*z + 27. Factor f(l).
(l - 17)**3
Let o = 9 + -7. Determine p, given that 3*p**2 - 4*p**2 + 0*p**2 + 0*p**o + p**3 = 0.
0, 1
Let t(l) = 6*l + 11. Let v be t(-2). Let d be (v/(-3))/(5/((-30)/(-4))). Factor -d - 3/2*y**2 - 1/2*y**3 - 3/2*y.
-(y + 1)**3/2
Let v = -31 + 19. Let x = -9 - v. Factor -2*i**2 - x*i**2 + 2*i**2 + 2 + i + 2*i**2.
-(i - 2)*(i + 1)
Let r(p) be the second derivative of -p**7/21 + p**6/15 + 7*p**5/10 - p**4/6 - 2*p**3 - 3*p + 1. Solve r(m) = 0.
-2, -1, 0, 1, 3
Let b(l) be the first derivative of -2*l**3/3 - 6*l**2 - 10*l - 168. What is k in b(k) = 0?
-5, -1
Let n(u) be the first derivative of 0*u**4 + 3 + 2/45*u**6 - 1/9*u**3 + 1/10*u**5 - 2*u + 0*u**2. Let x(k) be the first derivative of n(k). Factor x(p).
2*p*(p + 1)**2*(2*p - 1)/3
Suppose 304*n + 128/3 + 560*n**2 + 196/3*n**3 = 0. What is n?
-8, -2/7
Let j(w) be the second derivative of -w**4/8 - 17*w**3/2 + 105*w**2/4 - 194*w. Factor j(b).
-3*(b - 1)*(b + 35)/2
Let y(j) be the third derivative of j**2 + 0*j**3 - 1/6*j**6 + 0*j + 0 + 1/12*j**5 + 1/18*j**7 + 5/36*j**4. Factor y(k).
5*k*(k - 1)**2*(7*k + 2)/3
Let z(v) be the first derivative of 0*v**2 + 1/10*v**4 + 9 - 1/15*v**3 - 1/25*v**5 + 0*v. Find h, given that z(h) = 0.
0, 1
Factor 5/2*t**3 + 45/2*t + 0 + 15*t**2.
5*t*(t + 3)**2/2
Let o = 763/15 + 99/5. Let s = -70 + o. Factor -2/3*v**2 + 4/3*v**3 + s*v**4 - 4/3*v + 0.
2*v*(v - 1)*(v + 1)*(v + 2)/3
Suppose 5*k - 16 = u, -3*u = 4*k + u - 8. Suppose -x = k*x - 8. Factor -2*h**x + 7*h**3 - 6*h**2 - 5*h**3 + 8*h.
2*h*(h - 2)**2
Let d(w) be the third derivative of -w**5/120 - 5*w**4/48 + w**3/2 - 2*w**2. Let d(j) = 0. What is j?
-6, 1
Factor -9/5 + 3/5*w**2 - 6/5*w.
3*(w - 3)*(w + 1)/5
Let g = -1065 + 1749. Determine c, given that 630*c**3 - 24*c - 12 - 31*c**2 + 101*c**2 + 53*c**2 - g*c**3 = 0.
-2/9, 1/2, 2
Let f be 144/(-21) + (5 - (1 + -3)). Suppose -f*w**3 - 2/7 + 2/7*w**2 + 1/7*w = 0. Calculate w.
-1, 1, 2
Let r be 6/(-40) - (3/5 - 1). Let t(c) be the second derivative of 0*c**2 - 1/2*c**3 + 0 - r*c**4 - 5*c. Factor t(n).
-3*n*(n + 1)
Solve 1/3*h + 0 - 2/3*h**5 + 1/3*h**3 - h**2 + h**4 = 0.
-1, 0, 1/2, 1
Solve 27/4*l**2 + 0 - 30*l**3 - 3/8*l - 27/4*l**4 + 243/8*l**5 = 0 for l.
-1, 0, 1/9, 1
Let v(k) be the second derivative of k**6/18 - k**5/12 - 5*k**4/36 + 5*k**3/18 - 24*k - 2. Suppose v(t) = 0. Calculate t.
-1, 0, 1
Let q(h) be the third derivative of -h**6/120 - h**5/30 + 317*h**2 - 1. Factor q(y).
-y**2*(y + 2)
Suppose 0 = -a - 3*l + 5 + 6, 4*l = -4*a + 20. Suppose 3*w - 8 = -w. Let 3 + 3*m**a - w*m - 6*m + 2*m + 0*m = 0. What is m?
1
Let q be 3/(1/(-4)*-4). Suppose 3*b = 4*a + 23, q*b + 10 = 7*b + 5*a. Factor 4*n**b - 4*n**5 - n**2 - 3*n**4 - 3*n**3 - n**5.
-n**2*(n + 1)**3
Suppose 10*f - 3 = 17. Suppose -4*l - f*l + 2*l = 0. Factor -2/7*a + 0*a**2 + 0*a**4 + 4/7*a**3 + l - 2/7*a**5.
-2*a*(a - 1)**2*(a + 1)**2/7
Let n = -24 - -34. Let t be (n/(-12)*4)/((-10)/15). Solve 2/7*h**3 - 1/7*h**t - 2/7*h**2 + 1/7 - 1/7*h + 1/7*h**4 = 0.
-1, 1
Let g(a) = 30*a**2 - 160*a + 50. Let o be g(5). Factor -2/7*d**5 - 8/7*d**3 + 0*d**2 - 10/7*d**4 + 0 + o*d.
-2*d**3*(d + 1)*(d + 4)/7
Let m = 36160 + -72315/2. Factor m*k + 3 + 1/2*k**2.
(k + 2)*(k + 3)/2
Let u(a) be the second derivative of 3/2*a**3 - 36*a - 5/4*a**4 + 27/2*a**2 + 0 + 3/20*a**5. Suppose u(h) = 0. What is h?
-1, 3
Let u be 3 + 0/(-1) + 18. Factor 195*f**3 - 393*f**3 + 201*f**3 - u*f**2 + 33*f - 15.
3*(f - 5)*(f - 1)**2
Let w(v) be the third derivative of -v**6/360 + 7*v**5/90 - 53*v**4/72 + 20*v**3/9 - 148*v**2. Factor w(s).
-(s - 8)*(s - 5)*(s - 1)/3
Let -7/11*h**3 + 1/11*h**4 - 3/11*h**2 - 14/11 + 23/11*h = 0. What is h?
-2, 1, 7
Let l = -118 - -131. Suppose 3*y + 4 = -2*d, l + 12 = -5*d. Find p, given that -1/2 + 1/2*p**3 + 1/2*p**y - 1/2*p = 0.
-1, 1
Factor 34/3*q**2 + 8 - 2*q**3 - 56/3*q.
-2*(q - 3)*(q - 2)*(3*q - 2)/3
Let a(r) = r**3 - 6*r**2 + 5*r + 4. Let u be a(5). Factor -3*g**u + 28*g**2 - 4*g**3 - 2*g**3 - 25*g**2 - 3*g + 9*g**3.
-3*g*(g - 1)**2*(g + 1)
Let f(p) = 2*p**4 - 54*p**3 - 464*p**2 - 1412*p - 1016. Let h(q) = q**4 - 53*q**3 - 456*q**2 - 1411*q - 1018. Let i(z) = -3*f(z) + 4*h(z). Factor i(b).
-2*(b + 1)*(b + 8)**3
Let j = 7904/3 - 2670. Let b = -34 - j. Find n such that 2/3 + 2/3*n**2 - b*n = 0.
1
Let h = 3/76 - -13/152. Let o(g) be the second derivative of -1/48*g**4 + 4*g + 0 - h*g**3 - 1/4*g**2. Determine i, given that o(i) = 0.
-2, -1
Let o = 25 - 36. Let z = o + 14. Factor q - 7*q - z*q - 6 + 9*q**2 + 6*q**2.
3*(q - 1)*(5*q + 2)
Let m(t) = -2*t**5 - 2*t**4 + 23*t**3 + 2*t**2 - 14. Let r(p) = p**5 + p**4 - 7*p**3 - p**2 + 4. Let b(s) = 2*m(s) + 7*r(s). Let b(i) = 0. Calculate i.
-1, 0, 1
Let x(j) be the second derivative of -j**6/120 - j**5/6 - 25*j**4/24 - 2*j**2 - 8*j. Let r(f) be the first derivative of x(f). Determine s so that r(s) = 0.
-5, 0
Let j(q) be the first derivative of -1/15*q**6 + 1/10*q**5 - 4 + 3*q + 0*q**3 + 1/3*q**4 + 0*q**2. Let r(m) be the first derivative of j(m). Factor r(d).
-2*d**2*(d - 2)*(d + 1)
Let s(q) be the second derivative of q**4/3 + 14*q**3/3 - 16*q**2 + 2*q + 42. Factor s(a).
4*(a - 1)*(a + 8)
Suppose 5*b - 2*b = 3*d - 132, 0 = -5*d - 4*b + 265. Let j = -47 + d. Determine m so that 3/5*m**j + 12/5*m**3 + 9/5*m**4 + 0 + 0*m = 0.
-1, -1/3, 0
Let 14/9*i**2 - 26/9*i**3 + 0 + 10/9*i**4 + 0*i + 2/9*i**5 = 0. Calculate i.
-7, 0, 1
Let p(a) be the second derivative of 0 + 17*a - 1/18*a**4 - 1/27*a**3 - 1/135*a**6 + 0*a**2 - 1/30*a**5. Factor p(g).
-2*g*(g + 1)**3/9
Let y(m) = 4*m**2 - 96*m - 100. Let j(l) = -l**2 + 32*l + 33. Let i(k) = -8*j(k) - 3*y(k). Suppose i(d) = 0. What is d?
-1, 9
Let l be 17/15 - 22/165. Factor -132*q + 124*q + 4*q**2 + 3 + l.
4*(q - 1)**2
Let l(c) be the third derivative of 5/336*c**8 + 0*c - 1/3*c**5 - 1/12*c**6 + 5/3*c**3 + 1/21*c**7 + 0 - 4*c**2 + 5/24*c**4. Suppose l(k) = 0. What is k?
-2, -1, 1
Determine b, given that -64*b**3 + 8*b**3 + 13*b**3 + 13*b**3 + 14*b**3 - 4*b**4 = 0.
-4, 0
Let a(s) be the second derivative of -3/5*s**5 + 0*s**4 - 11*s + 4/15*s**6 + 0 + 2/3*s**3 + 0*s**2. What is d in a(d) = 0?
-1/2, 0, 1
Let w be (-124)/(-160) + 132/(-352). Factor -w*s**3 + 1/5*s**4 + 1/5 + 1/5*s + 1/5*s**5 - 2/5*s**2.
(s - 1)**2*(s + 1)**3/5
Suppose 2*x - 18 = -4*h + 42, 0 = 3*x - 5*h - 46. Factor 37*m**2 - x*m**2 - 6 - 16*m**2 - 7*m.
-(m + 1)*(m + 6)
Factor 1/11*w**2 - 20/11 - 19/11*w.
(w - 20)*(w + 1)/11
Let d be ((-2)/(-3))/(48/360). Let q(b) = -60*b**2 - 44*b - 24. Let w(u) = -12*u**2 - 9*u - 5. Let i(t) = d*q(t) - 24*w(t). Factor i(o).
-4*o*(3*o + 1)
Let x(q) be the second derivative of q**6/225 - 7*q**5/50 + 927*q. Factor x(d).
2*d**3*(d - 21)/15
Suppose 0 = -8*v + v + 8960. Factor -4*c**4 + 44*c**4 - 20*c**3 + v - 93*c**2 - 7*c**5 + 320*c + 2*c**5 - 307*c**2.
-5*(c - 4)**3*(c + 2)**2
Let q(k) be the second derivative of 0 + 0*k**3 - 1/25*k**5 + 5*k - 1/150*k**6 + 0*k**2 + 0*k**4. Find l such that q(l) = 0.
-4, 0
Let k be (-40)/(-25)*195/(-3). Let o be (2/(-20))/(k/130). Factor -o + 1/8*n**2 + 1/8*n**3 - 1/8*n.
(n - 1)*(n + 1)**2/8
Suppose 6 + 5*b**2 + 238*b - 6*b**2 - 239*b = 0. What is b?
-3, 2
Let y = 831/1100 - 3/550. Solve 0*z**2 - 3/4*z**5 - y*z + 3/2*z**3 + 0*z**4 + 0 = 0.
-1, 0, 1
Let 2/15*o - 4/5*o**3 - 8/15*o**2 + 0 + 8/15*o**4 + 2/3*o**5 = 0. What is o?
-1, 0, 1/5, 1
Suppose 28*f**4 + 303*f**5 + 311*f**5 + 80*f**3 + 47*f**4 - 594*f**5 + 15*f**2 - 10*f = 0. Calculate f.
-2, -1, 0, 1/4
Let u be ((-278)/(-1529))/((-4)/(-11)). Factor 1/6*z**2 - 1/3*z - u.
(z - 3)*(z + 1)/6
Let t(m) be the third derivative of m**7/980 - m**6/126 + m**5/105 - 3*m**4/4 - 16*m**2. Let k(x) be the second derivative of t(x). Factor k(o).
2*(o - 2)*(9*o - 2)/7
Let a(v) be the second derivative of -v**7/560 - 3*v**6/40 - 81*v**5/80 + v**3 - 17*v. Let r(p) be the second derivative of a(p). Factor r(g).
-3*g*(g + 9)**2/2
Let q be (-10 - -13)*(-8)/(-84). Factor -2/7*a + 0 + q*a**2.
2*a*(a - 1)/7
Let r be (-18 - (-546)/13)*(-1)/(-8). Factor 1/4*w**r + 0 - 1/4*w**2 + 1/4*w**4 - 1/4*w**5 + 0*w.
-w**2*(w - 1)**2*(w + 1)/4
Let l(j) be the third derivative of 4/15*j**5 - 8/105*j**7 + 0 + 1/84*j**8 + 15*j**2 + 0*j + 1/10*