 Factor o(n).
2*(n + 1)**3*(n + 2)/9
Let t(m) = -m**3 + 5*m**2 + m - 2. Let a be t(5). Let j be (416/(-14))/26 - ((-760)/42)/10. Determine x so that -4/9 - j*x + 2/3*x**a + 4/9*x**2 = 0.
-1, -2/3, 1
Let w(z) be the third derivative of -4*z**5/15 - 13*z**4/6 - 2*z**3 - 73*z**2. Factor w(l).
-4*(l + 3)*(4*l + 1)
Let n(y) = y**2 - y - 1. Let x(r) = -20*r**2 + 20. Let j(f) = 12*n(f) + x(f). Let j(o) = 0. Calculate o.
-2, 1/2
Let i be 12/(6*2/4). Let h(v) be the first derivative of i - 2/3*v + 1/12*v**4 - 1/6*v**2 + 2/9*v**3. Solve h(s) = 0.
-2, -1, 1
Let j(w) be the second derivative of 1/18*w**4 + 1/15*w**6 + 0 + 3*w + 1/10*w**5 + 0*w**3 + 1/63*w**7 + 0*w**2. Factor j(s).
2*s**2*(s + 1)**3/3
Let k(y) = 7*y**2 - 848*y + 44941. Let s(w) = -15*w**2 + 1696*w - 89881. Let r(q) = 7*k(q) + 3*s(q). Factor r(z).
4*(z - 106)**2
Let m(w) be the third derivative of -w**6/6 + 3*w**5/5 - w**4/2 - 2*w**3/3 - 11*w**2. Factor m(g).
-4*(g - 1)**2*(5*g + 1)
Let o(k) = 4*k**2 + 11*k + 4. Let l(x) = -28*x**2 - 76*x - 28. Suppose 0 = 5*q + 10, 5*i = 3*q - 7*q - 23. Let m(v) = i*l(v) - 20*o(v). Factor m(c).
4*(c + 1)**2
What is z in -184/17*z - 108/17*z**2 - 2/17*z**4 - 112/17 - 26/17*z**3 = 0?
-7, -2
Let u(c) be the second derivative of c**5/5 + 4*c**4 - 18*c**3 + 28*c**2 + 2*c - 127. Factor u(y).
4*(y - 1)**2*(y + 14)
Let w(o) be the first derivative of 0*o**5 + 0*o**3 + 1/3*o**6 - o**4 + 20 + 0*o + o**2. Factor w(q).
2*q*(q - 1)**2*(q + 1)**2
Suppose -12 = 3*x, 3*d - 4*x - 17 = 2*d. Let u be (-15)/(-5) - (d + 2). Factor -2/11*m**4 - 4/11*m**3 + 0*m**2 + 0*m + u.
-2*m**3*(m + 2)/11
Factor -2*r**3 + 22 - 102*r**2 - 22 + 92*r**2 - 8*r.
-2*r*(r + 1)*(r + 4)
Let s(z) be the first derivative of -z**4/18 + 188*z**3/27 - 2300*z**2/9 + 8464*z/9 + 1. Solve s(i) = 0 for i.
2, 46
Let r(f) = -f**4 - 3*f**3. Let j(z) = 14*z**3 + 6*z**2 - 28*z + 16. Let w(g) = j(g) + 2*r(g). Determine l, given that w(l) = 0.
-2, 1, 4
Let w(q) be the second derivative of -q**5/10 + 20*q**4/3 + 41*q**3/3 + 11*q - 4. What is s in w(s) = 0?
-1, 0, 41
Let w = 73 + -64. Determine k so that -551*k**2 + 1458*k**5 - 5*k**2 + 1074*k**4 + 870*k**4 - 7 - 270*k**3 - w + 184*k = 0.
-1, 2/9
Let x(t) be the second derivative of t**6/105 + 16*t**5/35 - t**4/14 - 94*t**3/21 + 64*t**2/7 + t + 218. Let x(f) = 0. Calculate f.
-32, -2, 1
Let u = 9 - 4. Suppose u*x = 2*x + 6. What is n in -3*n**x - 6*n - 17 + 17 = 0?
-2, 0
Let s be ((-32)/(-224))/((-2)/(-24)). Solve 0 - 12/7*w**2 - 3/7*w**3 - s*w = 0.
-2, 0
Let s be 54/12 + 1/(-2). Let i(x) be the second derivative of 1/24*x**3 - 1/80*x**5 + 0 - 4*x + 0*x**s + 0*x**2. Determine t so that i(t) = 0.
-1, 0, 1
Find k, given that -5*k - 2/3 + 28/3*k**4 + 5*k**3 - 26/3*k**2 = 0.
-1, -2/7, -1/4, 1
Let k(a) be the first derivative of -2*a**7/63 + 2*a**6/15 - 4*a**4/9 + 11*a + 2. Let t(v) be the first derivative of k(v). Let t(r) = 0. Calculate r.
-1, 0, 2
Let a(v) be the first derivative of -v**8/336 + v**7/56 - v**6/36 + v**3/3 + 29. Let g(r) be the third derivative of a(r). What is w in g(w) = 0?
0, 1, 2
Let n(a) be the third derivative of -8*a**2 + 0*a**4 + 0*a - 1/600*a**6 + 0*a**5 + 0*a**3 - 1/1050*a**7 + 0. Solve n(z) = 0 for z.
-1, 0
Let o(u) be the second derivative of 2*u**6/15 - 8*u**5/5 - u**4/3 + 16*u**3/3 - 145*u. Find r such that o(r) = 0.
-1, 0, 1, 8
Suppose -10 = -5*v - 10*t + 14*t, t = 0. Factor 40/3*l + 100/3 + 4/3*l**v.
4*(l + 5)**2/3
Let a be (-2)/4 - 143/26. Let t be (30/(-8))/(9/a). Factor x - t*x**2 + 0.
-x*(5*x - 2)/2
Let q(h) = -h**3 - 10*h**2 + 10*h - 9. Let m be q(-11). Determine x, given that m*x**2 + x**5 + 2*x**4 + 0*x - x - 4*x**4 = 0.
-1, 0, 1
Let j(s) = -s**3 + 5*s**2 - 5*s - 7. Let a be j(3). Let b be 88/32 - a/16. Suppose 0*w - 10/7*w**4 + 0 + 4/7*w**2 - 6/7*w**b = 0. Calculate w.
-1, 0, 2/5
Let p = 29 + -9. Let n = p - 59/3. Factor n*h - 2/3*h**2 + 1/3.
-(h - 1)*(2*h + 1)/3
Suppose 19*l - 16*l - 6 = -3*b, l - 14 = 3*b. Let t(c) = -c**2 - 8*c - 5. Let m be t(-6). Factor -3*a + l*a**2 + 9*a - m*a**3 - 4*a.
-a*(a - 1)*(7*a + 2)
Factor 1/3*x**5 + 4/3 + 8/3*x - 5/3*x**3 - 1/3*x**4 + 1/3*x**2.
(x - 2)**2*(x + 1)**3/3
Let j = 6/139 + 1626/973. Factor j - 8/7*m - 4/7*m**2.
-4*(m - 1)*(m + 3)/7
Suppose -4 = -88*n + 86*n. Solve 15 - 10*o**2 + 35*o + 0*o**n + 28*o**2 + 5*o**3 + 7*o**2 = 0.
-3, -1
Suppose 19*u = 17*u + 14. Suppose 1 - 2*t + 3*t**4 - 8*t**3 - 9 + 8 + u*t**2 = 0. What is t?
0, 2/3, 1
Let m(o) be the third derivative of -4*o**7/35 - o**6/30 + 8*o**5/5 + 2*o**4/3 + 3*o**2 + 59. Factor m(d).
-4*d*(d - 2)*(d + 2)*(6*d + 1)
Let a(x) = 41*x - 51. Let w be a(5). Let r be ((-88)/w)/((-1)/7*2). What is q in 7/4*q**r - q**3 + 1/2*q + 0 = 0?
-1/4, 0, 2
Let y(o) be the first derivative of -o**7/56 + 3*o**5/80 - 5*o - 13. Let v(m) be the first derivative of y(m). What is s in v(s) = 0?
-1, 0, 1
Let x = -383/4 - -96. Let y(l) be the first derivative of -5 + 1/8*l**6 + 0*l**2 + 0*l**3 + 1/8*l**4 - x*l**5 + 0*l. Factor y(i).
i**3*(i - 1)*(3*i - 2)/4
Let h(s) = -s**3 + 77*s**2 - 104*s + 2136. Let m be h(76). Solve -4/3*w**2 + 20/3*w + m = 0 for w.
-1, 6
Determine i, given that 0 - 3*i + 5/2*i**2 - 1/2*i**3 = 0.
0, 2, 3
Let t(r) be the first derivative of r**4/28 - 58*r**3/21 - 59*r**2/14 - 901. Solve t(z) = 0 for z.
-1, 0, 59
Suppose 3*b - 6 = -0. Let w(d) be the first derivative of d**3 - 7 + 16*d + 8*d**b + 11*d + d**2. Factor w(v).
3*(v + 3)**2
Let y(l) be the third derivative of -l**7/600 - 3*l**6/400 - l**5/100 - 11*l**4/24 + 6*l**2. Let q(v) be the second derivative of y(v). Factor q(n).
-3*(n + 1)*(7*n + 2)/5
Let i(s) be the first derivative of s**5/5 - s**4/2 - s**3/3 + s**2 - 35. Suppose i(d) = 0. Calculate d.
-1, 0, 1, 2
Let r(g) be the second derivative of -g**6/24 + 17*g**5/8 - 535*g**4/16 + 340*g**3/3 - 160*g**2 + 160*g. Suppose r(s) = 0. What is s?
1, 16
Let j(g) be the second derivative of 4*g**7/21 - 13*g**6/5 + 49*g**5/5 - 15*g**4/2 - 6*g**3 - 4*g + 18. Let j(b) = 0. Calculate b.
-1/4, 0, 1, 3, 6
Suppose 4*w = 2*m + 26, -21 = -4*w - 0*m - 3*m. Suppose -21*v + 23*v - w*v**3 + 3*v**3 + v**3 = 0. What is v?
-1, 0, 1
Let f(j) be the first derivative of 1/30*j**6 - 1/10*j**2 + 2/25*j**5 + 0*j - 30 + 0*j**4 - 2/15*j**3. Suppose f(p) = 0. Calculate p.
-1, 0, 1
Let -2/9*h**2 - 4/9*h + 2/3 = 0. What is h?
-3, 1
Let j(b) be the second derivative of -3/20*b**5 + 1/2*b**4 - b + 11 + 1/14*b**7 + 0*b**3 - 1/5*b**6 + 0*b**2. Find a, given that j(a) = 0.
-1, 0, 1, 2
Let b(x) be the second derivative of 17/3*x**4 + 2/5*x**6 + 0*x**2 + 0 + 2*x**3 - 8/21*x**7 + 21/5*x**5 + 8*x. Let b(m) = 0. What is m?
-1, -1/4, 0, 3
Let t(a) = 3*a**2 + 9*a - 12. Let o(j) = 13*j**2 + 35*j - 48. Let p(l) = 4*o(l) - 18*t(l). Factor p(c).
-2*(c - 1)*(c + 12)
Suppose -5*g + 2*i = -3*i - 25, -5*i - 9 = -3*g. Suppose 5*q - g = q. Let -12*p + 287 - 297 - 3*p**2 + p**q = 0. What is p?
-5, -1
Find q such that 43*q**2 - 1/2*q**5 - 109/3*q**3 - 49/6 + 47/6*q**4 - 35/6*q = 0.
-1/3, 1, 7
Let u(j) be the first derivative of 1/5*j**5 + 0*j**4 - 3 + 0*j**3 - 1/6*j**6 + 0*j**2 + 0*j. Factor u(p).
-p**4*(p - 1)
Suppose 2*z - 4*h - 22 = 0, 5*z + 15 = 2*h + 46. Let -6*j**3 + 10*j**4 - 7*j**z + 2*j**2 + 8*j**5 - 3*j**5 - 4*j**4 = 0. Calculate j.
0, 1
Let j = -2245 - -2248. Factor 1/7*z**4 + 0*z - 2/7*z**j + 1/7*z**2 + 0.
z**2*(z - 1)**2/7
Let w(c) be the first derivative of 2/3*c**3 - c - 1/5*c**5 - 9 + 0*c**2 + 0*c**4. Determine u, given that w(u) = 0.
-1, 1
Let n(i) be the second derivative of -3*i**5/20 + i**4/2 + 10*i**3 + 36*i**2 + 146*i + 1. Factor n(v).
-3*(v - 6)*(v + 2)**2
Let l(c) be the second derivative of -1/105*c**7 + 1/75*c**6 + 1/50*c**5 - 1/30*c**4 + 0*c**2 - c + 0*c**3 + 0. Factor l(g).
-2*g**2*(g - 1)**2*(g + 1)/5
Suppose 2/13*w**2 + 2/13*w**3 + 6/13 - 10/13*w = 0. Calculate w.
-3, 1
Suppose 0 + 8*g + 1/3*g**2 = 0. Calculate g.
-24, 0
Factor 36/7 - 38/7*h + 2/7*h**2.
2*(h - 18)*(h - 1)/7
Let v(u) be the third derivative of -1/630*u**7 + 0*u**4 + 1/180*u**6 - 3*u**2 + 1/60*u**5 + 0*u**3 + 0*u + 0. Solve v(x) = 0.
-1, 0, 3
Let t(p) = 5*p**2 + p - 6. Let l(b) = -4*b**2 + 4. Let i(d) = -6*l(d) - 5*t(d). What is g in i(g) = 0?
-6, 1
Let t(j) be the second derivative of -j**4/66 + 52*j**3/33 + 53*j**2/11 - 599*j. Determine h, given that t(h) = 0.
-1, 53
Suppose -1/6*k**2 - 13/6