 + 0. Factor k(c).
c*(c - 1)/8
Factor 12/7*d - 2*d**2 + 0 - 6/7*d**3.
-2*d*(d + 3)*(3*d - 2)/7
Let l be ((-10)/15)/(1/(-3)) - -1. Suppose -l = 11*s - 36. Find i, given that 2/3*i**s + 0 - 2/3*i + 0*i**2 = 0.
-1, 0, 1
Let u(k) be the first derivative of k**4/12 + k**3/9 - 3*k**2/2 - 3*k - 485. Solve u(x) = 0 for x.
-3, -1, 3
Let m(s) be the second derivative of -s**4/24 - 23*s**3/6 - 22*s**2 + 19*s + 2. Let m(x) = 0. What is x?
-44, -2
Let u(x) be the first derivative of 3*x**4/22 - 2*x**3/11 - 120*x**2/11 + 672*x/11 + 149. Factor u(m).
6*(m - 4)**2*(m + 7)/11
Suppose -2*v + 41 = -33. Let i = v - 30. Factor 3*h**4 - 3*h**2 - i*h**2 + 0*h**2 - 3*h**3 + 4*h**2.
3*h**2*(h - 2)*(h + 1)
Let f(y) = -y**3 + 3*y**2 + 10*y. Let w(u) = 4*u**2 + 8*u. Let q(x) = -4*f(x) + 5*w(x). Factor q(i).
4*i**2*(i + 2)
Determine z, given that -292/5 - 294/5*z - 2/5*z**2 = 0.
-146, -1
Let j = -69 - -136. Find q, given that j*q**3 + 0*q**5 + q**5 + 69*q**3 - 137*q**3 = 0.
-1, 0, 1
Suppose -h = -24 + 21. Let 4*k**h + k**2 + 7 - 16*k - 12 - 11 + 3*k**2 = 0. Calculate k.
-2, -1, 2
Let m(f) be the third derivative of f**7/945 - 13*f**6/540 + 23*f**5/270 - 11*f**4/108 - 5*f**2 - 5. Factor m(u).
2*u*(u - 11)*(u - 1)**2/9
Suppose 87*q + 84*q = 132*q. Factor 2/11*u**2 + q - 6/11*u.
2*u*(u - 3)/11
Let c(v) be the second derivative of -v**5/70 - v**4/7 - 3*v**3/7 + 84*v. Factor c(f).
-2*f*(f + 3)**2/7
Let x(d) = 6*d + 6. Let i be x(-2). Let n be (-16)/i - 16/(-48). Factor -21/2*r**2 - 2 - 8*r + 3/2*r**5 - 7/2*r**n + 5/2*r**4.
(r - 2)*(r + 1)**3*(3*r + 2)/2
Let j be (3 - -2) + -5 + 1 + -1. Suppose 3*h + j = 9. Suppose 4/5*o**2 + 0 + 2/5*o**h + 0*o = 0. Calculate o.
-2, 0
Factor 2/7*m**3 + 0 + 6/7*m**2 - 8/7*m.
2*m*(m - 1)*(m + 4)/7
Let n(z) be the second derivative of 0 + 21*z - 1/30*z**6 + 1/5*z**5 - 5/12*z**4 + 1/3*z**3 + 0*z**2. Factor n(b).
-b*(b - 2)*(b - 1)**2
Let n(i) = 3*i**2 + 17*i - 70. Let z(t) = -2*t**2 + 2*t + 1. Let f(x) = n(x) + 2*z(x). Determine h, given that f(h) = 0.
4, 17
Let h(z) be the second derivative of z**4/24 + z**3/4 - 9*z**2/2 + z + 40. Factor h(x).
(x - 3)*(x + 6)/2
Factor -16/3*r - 4/3*r**4 + 28/3*r**2 + 0 - 8/3*r**3.
-4*r*(r - 1)**2*(r + 4)/3
Determine c so that -c**4 - 8932*c + 8932*c - 100*c**2 + 20*c**3 = 0.
0, 10
Let c = -212 - -126. Let z = c - -260/3. Factor 2/3*b**5 + 0 + z*b**4 + 0*b**2 + 0*b + 0*b**3.
2*b**4*(b + 1)/3
Let y(g) be the first derivative of g**9/13608 - g**7/3780 + 2*g**3/3 + 16. Let d(n) be the third derivative of y(n). Factor d(m).
2*m**3*(m - 1)*(m + 1)/9
Let d(w) = 7*w**3 + 7*w**2 - 10*w - 19. Let q(h) = 9*h**3 + 7*h**2 - 10*h - 20. Let u(o) = -4*d(o) + 3*q(o). Factor u(p).
-(p - 2)*(p + 1)*(p + 8)
Let x(a) be the third derivative of a**8/112 + a**7/14 + a**6/10 - 2*a**2 + 10. Factor x(v).
3*v**3*(v + 1)*(v + 4)
Suppose 0 = -3*o - k + 11, 5*k + 15 = 8*k. Factor 38/3*v - 14/3*v**o + 4.
-2*(v - 3)*(7*v + 2)/3
Suppose z - 15 - 5 = 3*s, -4*s + 2*z - 24 = 0. Let a be (3 - s - 4) + -4. Factor 7*k + 0*k**a + 2*k**3 + 5*k - 8*k**2 - 6*k**3.
-4*k*(k - 1)*(k + 3)
Find j, given that j**2 - 241*j**4 - 33*j**2 + 164*j**3 + 53*j**4 + 36*j**5 + 20*j**3 = 0.
0, 2/9, 1, 4
Let i(h) = 6*h**5 - 10*h**4 - 14*h**3 + 10*h**2 + 14*h. Let w(q) = q**5 - q**4 + q**3 + q**2 + q. Let m(p) = i(p) - 2*w(p). Factor m(z).
4*z*(z - 3)*(z - 1)*(z + 1)**2
Suppose 0 = o + 5*o - 48. Let b(z) be the second derivative of o*z - 1/6*z**3 + 1/4*z**2 + 0 + 1/24*z**4. Solve b(a) = 0 for a.
1
Suppose 2*b - 34 + 12 = 0. Suppose -4*t + 27 = b. Factor t*k**4 + 6/5*k**5 + 24/5*k**3 + 0 + 12/5*k**2 + 2/5*k.
2*k*(k + 1)**3*(3*k + 1)/5
Suppose -84*f = -112*f. Determine z, given that 0*z**2 + 0 - 3/2*z**3 - 3/2*z**5 + f*z + 3*z**4 = 0.
0, 1
Let y be 2*2*2970/3960. Factor -1/3*f - 1/3*f**2 + 1/3*f**y + 1/3*f**4 + 0.
f*(f - 1)*(f + 1)**2/3
Let g(f) be the first derivative of f**4/8 - 23*f**3/6 + 39*f**2/4 + 63*f/2 + 558. Factor g(n).
(n - 21)*(n - 3)*(n + 1)/2
Let i(f) be the first derivative of -5 + 0*f**3 + 0*f - 1/6*f**4 + 1/3*f**2. Factor i(n).
-2*n*(n - 1)*(n + 1)/3
Let f be 5/((-10)/6) + 490/165. Let l = f - -37/132. Let -1/2 - l*i**2 + 3/4*i = 0. Calculate i.
1, 2
Let r be -14 + 1 + 7396/516. Factor -1/3*x**4 - 3*x**2 - r*x + 0 - 2*x**3.
-x*(x + 1)**2*(x + 4)/3
Let a = 81 + -75. Solve a*w + 5 + 8*w**2 - 3*w**2 + 4*w = 0 for w.
-1
Let n be 5 + 23/((-1196)/252). Factor 0*s - 54/13 + n*s**4 - 16/13*s**3 + 36/13*s**2.
2*(s - 3)**3*(s + 1)/13
Suppose 209*j - 216*j + 14 = 0. Let p(q) be the second derivative of 0 - j*q**2 - 7/6*q**4 + 9*q - 3*q**3. Factor p(v).
-2*(v + 1)*(7*v + 2)
Let w be ((-36)/117)/(5/(-2)). Let v(n) be the first derivative of 0*n - 2/39*n**3 + 0*n**2 - 5/26*n**4 + 4 - w*n**5. Factor v(k).
-2*k**2*(k + 1)*(4*k + 1)/13
Suppose 2*k - 6 = 2*i, 4*k - 6 = 2*k - 2*i. Factor -11*y + 4*y**2 + 11*y - 12*y + 5 + k.
4*(y - 2)*(y - 1)
Let d(s) = 4*s**3 - 18*s**2 - 320*s - 770. Let k(b) = -b**2 - 1. Let l(c) = -d(c) + 2*k(c). Let l(n) = 0. Calculate n.
-4, 12
Let c(i) be the first derivative of -3*i**5/5 - 9*i**4/4 - 2*i**3 - 283. Find t such that c(t) = 0.
-2, -1, 0
Let j(c) be the second derivative of c**5/5 - 2*c**4/3 - 10*c**3/3 + 12*c**2 - 109*c. Factor j(d).
4*(d - 3)*(d - 1)*(d + 2)
Let a(j) be the third derivative of -j**5/270 + 28*j**4/27 - 3136*j**3/27 + 41*j**2. Factor a(z).
-2*(z - 56)**2/9
Suppose 2*h + 12 = 4*h. Suppose h*o = 43 + 11. Factor 2*l - l**3 + 2*l**2 + 2*l**4 - 5*l**2 + o*l**2 + 7*l**3.
2*l*(l + 1)**3
Let g(u) be the second derivative of -3*u**5/140 + 11*u**4/28 - 5*u**3/2 + 75*u**2/14 - 44*u + 2. Factor g(d).
-3*(d - 5)**2*(d - 1)/7
Let x(j) be the third derivative of j**6/60 + 2*j**5/15 + j**4/4 - 6*j**2 + 2*j. Find c such that x(c) = 0.
-3, -1, 0
Let p(u) = 6*u**2 - 29*u + 97. Let a(l) = -4*l**2 + l + 1. Let t(w) = -2*a(w) - 2*p(w). Factor t(o).
-4*(o - 7)**2
Suppose 133 = 36*q - 47. Let u(h) be the second derivative of 3*h**4 + 3/5*h**6 + 39/20*h**5 + 2*h**3 + 1/14*h**7 - q*h + 0*h**2 + 0. Factor u(a).
3*a*(a + 1)**2*(a + 2)**2
Let p = -372397/7 + 53365. Let z = 166 - p. Factor 2/7*q - 4/7*q**3 - z*q**2 + 2/7 + 2/7*q**5 + 2/7*q**4.
2*(q - 1)**2*(q + 1)**3/7
Suppose -5*w + 40 = -80. Let 6*c**3 - 13*c**4 + w*c**4 - 6*c**4 - c**2 + 2*c**2 = 0. Calculate c.
-1, -1/5, 0
Let n(q) = -15*q**5 + 17*q**4 + 13*q**3 - 4*q**2 + 2*q. Let u(m) = -7*m**5 + 8*m**4 + 6*m**3 - 2*m**2 + m. Let x(r) = -6*n(r) + 13*u(r). What is f in x(f) = 0?
-1, 0, 1
Let u(h) be the first derivative of -23 + 2*h**2 - 1/3*h**3 - 3*h. Factor u(c).
-(c - 3)*(c - 1)
Find l, given that -1/6*l**3 + l + 1/6*l**2 + 0 = 0.
-2, 0, 3
Let y(x) = -x**3 - 4. Let i be y(-2). Let h be (-298)/(-12) - i/12. Factor h*p**2 + 9/2 + 21*p.
(7*p + 3)**2/2
Let p(n) = 6*n**2 + 147*n - 60. Let m(x) = 2*x**2 + 2*x + 1. Let w(t) = -6*m(t) + p(t). Factor w(k).
-3*(k - 22)*(2*k - 1)
Let k(v) = 33*v**3 + 591*v**2 - 1821*v + 21. Let u(y) = -3*y**3 - 59*y**2 + 182*y - 2. Let x(t) = -2*k(t) - 21*u(t). Suppose x(w) = 0. Calculate w.
0, 4, 15
Let r(k) be the second derivative of k**7/630 - k**6/10 + 27*k**5/10 - 8*k**4/3 - 45*k. Let g(h) be the third derivative of r(h). What is j in g(j) = 0?
9
Let l(f) be the first derivative of -2*f**3/9 - 4*f**2 - 40*f/3 + 97. Factor l(c).
-2*(c + 2)*(c + 10)/3
Let f = 8831/27 - 327. Let b(n) be the first derivative of 1 - 32/9*n + 8/9*n**2 - f*n**3. Solve b(o) = 0.
4
Let p(y) be the first derivative of y**5/15 - 4*y**4/3 + 32*y**3/3 + 3*y**2 - 1. Let k(f) be the second derivative of p(f). Let k(g) = 0. Calculate g.
4
Let d(a) = -a**4 - a**3 + a**2 + a - 1. Let t(h) = -6*h**5 + 5*h**4 + 8*h**3 - 5*h**2 - 2*h + 2. Let u(r) = -2*d(r) - t(r). Determine c so that u(c) = 0.
-1, 0, 1/2, 1
Let o(b) = 2*b**4 + 6*b**2 + 8*b. Let n = 102 - 109. Let f(y) = 0*y**3 + 0*y**3 - 6*y**2 - 2*y**4 + y**3 - 9*y. Let h(q) = n*o(q) - 6*f(q). Factor h(s).
-2*s*(s + 1)**3
Let h(p) = 23*p - 228. Let v be h(10). Let o(m) be the first derivative of m**4 + 2 - 4*m - 2/3*m**3 - 5*m**v. Factor o(n).
2*(n - 2)*(n + 1)*(2*n + 1)
Let b(i) be the third derivative of 0 + 1/12*i**4 - 1/30*i**5 + 10*i**2 + 0*i**3 + 0*i. Factor b(w).
-2*w*(w - 1)
Let g(l) = 2*l**3 + 33*l**2 + 66*l + 29. Let q(n) = 2*n**3 + 34*n**2 + 66*n + 30. Let y(w) = 2*g(w) - 3*q(w). Factor y(x).
-2*(x + 1)**2*(x + 16)
Let d(j) be the secon