 of g(w). Factor n(v).
v*(v + 3)/3
Factor 7 - 8 - 9*h**2 - 5 - 4*h**3 + 15*h**4 + 21*h - 17*h**3.
3*(h - 1)**2*(h + 1)*(5*h - 2)
Let w(d) be the second derivative of d**10/75600 - d**8/5600 - d**7/3150 - 11*d**4/6 - 19*d. Let z(a) be the third derivative of w(a). Factor z(s).
2*s**2*(s - 2)*(s + 1)**2/5
Factor -20*t**2 + 0*t + 34/3*t**3 + 0 - 2/3*t**4.
-2*t**2*(t - 15)*(t - 2)/3
Let j be -1*1/(5/135). Let l = -23 - j. Factor 2*o**2 + 3*o**4 - 12*o**3 + 4*o**4 + 13*o**2 - 6*o - 4*o**l.
3*o*(o - 2)*(o - 1)**2
Let s = 255 + -248. Let a(d) be the third derivative of 0*d + 0 + 1/3*d**4 + 1/105*d**s + 3*d**2 + 1/3*d**3 + 1/5*d**5 + 1/15*d**6. Factor a(x).
2*(x + 1)**4
Let h be (-3)/(-2)*(((-720)/189)/10)/(-2). Factor 0 + 8/7*i - h*i**2.
-2*i*(i - 4)/7
Let -2/11*q**4 + 0 + 2/11*q**3 + 0*q + 12/11*q**2 = 0. Calculate q.
-2, 0, 3
Let w = 1348 + -1344. Let m(s) be the first derivative of 16/9*s**3 + 8/15*s**5 + 0*s + 8/3*s**2 - 8 - 7/3*s**w. Determine g, given that m(g) = 0.
-1/2, 0, 2
Factor -2/5*w**2 + 0 - 4/5*w.
-2*w*(w + 2)/5
Let b(g) be the third derivative of g**7/210 - g**6/24 + g**5/15 - 2*g**2 - 10. Factor b(q).
q**2*(q - 4)*(q - 1)
Let b be 39/15 + (-124)/(-310). Factor 3/7 + 15/7*z**4 + 15/7*z + 30/7*z**b + 3/7*z**5 + 30/7*z**2.
3*(z + 1)**5/7
Let u(t) = t**2 - 8*t. Let r(s) = s. Let p(n) = -6*r(n) + u(n). Solve p(f) = 0.
0, 14
Let r be 26*-8*(-4)/(-12). Let b = -69 - r. Find t such that 0 - b*t**2 - 1/3*t**3 + 0*t = 0.
-1, 0
Let y(o) be the third derivative of -7*o**2 - 2/3*o**3 - 1/30*o**6 + 0 + 1/6*o**4 + 0*o + 1/15*o**5. Determine i so that y(i) = 0.
-1, 1
Let h(m) be the second derivative of -2*m**4/63 + 19*m**3/63 - m**2 + 65*m. Find s such that h(s) = 0.
7/4, 3
Let a = -6722/5 - -53781/40. Solve 0 + 1/8*o**2 + 1/8*o - a*o**3 - 1/8*o**4 = 0.
-1, 0, 1
Let x(w) be the first derivative of w**6/50 + 6*w**5/25 + 11*w**4/10 + 12*w**3/5 + 27*w**2/10 - 6*w + 12. Let j(o) be the first derivative of x(o). Factor j(t).
3*(t + 1)**2*(t + 3)**2/5
Let f = -6709/5 - -1345. Let z(r) be the first derivative of -1/3*r**3 - 4 + 3*r**2 - f*r**5 - 6*r**4 - r. Let z(x) = 0. Calculate x.
-1, 1/4
Let s be (3 - 1)*3*74/4. Let g = s - 221/2. Factor -g + 0*a + 1/2*a**2.
(a - 1)*(a + 1)/2
Let c(k) be the third derivative of -k**7/42 - k**6/4 - 11*k**5/12 - 5*k**4/4 - 2*k**2 + 30. Factor c(v).
-5*v*(v + 1)*(v + 2)*(v + 3)
Find g, given that -152/5*g**2 - 8*g + 0 + 14/5*g**4 - 38/5*g**3 = 0.
-2, -2/7, 0, 5
Let t(j) = -j**2 - 4*j - 1. Let o be t(-5). Let b be (-9)/(-6)*(-8)/o. Factor -4*l**2 - 4*l**3 + 5*l**3 + l**b - 4*l**3.
-3*l**2*(l + 1)
Let n(h) = -2*h**3 + 62*h**2 - 64*h + 94. Let q(y) = y**2 + y + 3. Let c(l) = -2*n(l) + 36*q(l). Solve c(f) = 0.
1, 20
Suppose -4*x = 617 - 121. Let c = x - -127. Factor -2/9*m**c + 0*m**2 + 2/9*m + 0.
-2*m*(m - 1)*(m + 1)/9
Let x(b) be the third derivative of 0*b - 1/4*b**3 - 1/12*b**4 - 1/90*b**5 + 12*b**2 + 0. Suppose x(g) = 0. Calculate g.
-3/2
Let k = -961285/7 + 137583. Let g = k + -256. What is s in -12/7*s + g*s**2 + 8/7 = 0?
1, 2
Let g(u) be the second derivative of -u**5/40 - u**4/12 - u**3/12 + 3*u - 1. Find q such that g(q) = 0.
-1, 0
Factor -8*c**2 - 12*c**2 - 3369 - 23543 + 11*c**2 + 7*c**2 - 464*c.
-2*(c + 116)**2
Factor 76/5 + 1/5*h**2 + 8*h.
(h + 2)*(h + 38)/5
Let r(t) be the first derivative of t**5/30 - 13*t**4/12 + 4*t**3 + 27*t**2/2 - 22. Let z(d) be the second derivative of r(d). Factor z(c).
2*(c - 12)*(c - 1)
Let f(v) be the first derivative of v**5/5 - 23*v**4/16 + 13*v**3/6 + v**2 - 67. Factor f(w).
w*(w - 4)*(w - 2)*(4*w + 1)/4
Let x be (-130)/(-28) - (-85)/(-34). Factor x*d + 18/7 + 3/7*d**2.
3*(d + 2)*(d + 3)/7
Suppose -4 = -6*a + 5*a. Suppose -3*g + a*f - 14 = 0, -2*f + 0 = -4*g - 2. Factor -2/5*m**4 + 0 + 6/5*m**3 - 6/5*m**g + 2/5*m.
-2*m*(m - 1)**3/5
Let i(q) be the second derivative of -2*q**6/3 + 27*q**5/10 - 11*q**4/6 - 2*q**3 - 3*q + 3. Suppose i(j) = 0. What is j?
-3/10, 0, 1, 2
Let a = 81 - 81. Let u(x) be the third derivative of 0*x**3 + a + 1/12*x**4 - 1/60*x**6 + 0*x + 0*x**5 - 5*x**2. Factor u(n).
-2*n*(n - 1)*(n + 1)
Let i(q) be the second derivative of q**8/8400 + q**7/4200 - q**6/900 - 7*q**3/6 - 8*q. Let w(j) be the second derivative of i(j). Factor w(s).
s**2*(s - 1)*(s + 2)/5
Let x be ((-6)/(-3))/(6*3/45). Suppose 0 = 2*c - 3*q + 5, q - 30 = -x*c - 0*q. Suppose -1 - c*h - 9/4*h**2 = 0. What is h?
-2, -2/9
Let r(t) be the third derivative of -2*t**7/21 - 3*t**6/10 + 26*t**5/75 + 6*t**4/5 + 16*t**3/15 + 10*t**2 - 4*t. Solve r(m) = 0 for m.
-2, -2/5, 1
Factor -f**4 - 2*f**2 + 7*f**3 + 2*f**3 - 2*f**3 - 4*f**3.
-f**2*(f - 2)*(f - 1)
Let i be (-2 - (-812)/(-20)) + 6/(-15). Let j = i - -43. Factor 1/2*s**2 - 1/2*s + j.
s*(s - 1)/2
Let o(x) be the first derivative of -6/65*x**5 + 8 + 14/39*x**3 + 1/13*x**4 + 0*x + 2/13*x**2. Let o(u) = 0. Calculate u.
-1, -1/3, 0, 2
Let h(j) = -j**2 + 48*j - 380. Let t be h(38). Let b(x) be the first derivative of 3 + 1/10*x**4 - 2/5*x**2 + t*x + 2/15*x**3. Factor b(i).
2*i*(i - 1)*(i + 2)/5
Solve -88/7*d - 10/7*d**3 + 24/7 + 74/7*d**2 = 0.
2/5, 1, 6
Let h be 1/(-9)*6*(-9)/54. Let f(v) be the third derivative of 0*v - 1/315*v**7 - h*v**3 + 1/45*v**5 + v**2 + 0 + 0*v**4 + 0*v**6. Let f(p) = 0. What is p?
-1, 1
Let x be ((-6320)/(-5056))/(5/2 + 0). Factor 5*p - 25/2 - x*p**2.
-(p - 5)**2/2
Let q(h) be the first derivative of -h**6/330 + h**5/660 - 44*h**3/3 - 49. Let j(i) be the third derivative of q(i). Factor j(a).
-2*a*(6*a - 1)/11
Let q be (4/(-10) - 0)*290/(-87). Let n(d) be the first derivative of -10 - q*d**3 - 16*d - 8*d**2. Factor n(k).
-4*(k + 2)**2
Let d(g) = g**2. Let w(i) = -i**3 - 5*i - 2. Let m(l) = -6*d(l) - w(l). Let x be m(5). Factor 1 - 2 - x + 5 - 2*j**2.
-2*(j - 1)*(j + 1)
Solve 13*s**2 - 12*s**4 - 3*s**2 + 0*s**5 + 9 + 19*s**4 - 6*s**3 - 10*s**4 + 21*s + s**5 = 0.
-1, 3
Suppose 3*v + v - h - 356 = 0, 2*v - 192 = -3*h. Let z = 93 - v. Find r such that -3/7*r**2 + 0 + 0*r + 3/7*r**z = 0.
0, 1
Find s such that 32/11*s**4 + 0 - 34/11*s + 36/11*s**3 - 32/11*s**2 - 2/11*s**5 = 0.
-1, 0, 1, 17
Let z be -10 - (-84)/90*12. Solve 13/5*d**4 - z*d**5 - 3/5*d**3 - 2/5 + 9/5*d - 11/5*d**2 = 0 for d.
-1, 1/2, 2/3, 1
Let j(u) be the second derivative of -24*u - 1/22*u**2 + 1/33*u**4 + 0 + 1/22*u**3. Factor j(o).
(o + 1)*(4*o - 1)/11
Let l = -22 + 49. Suppose d - 9 = -d + y, d - l = -4*y. Factor 9*a - 2*a - d*a + a**2.
a**2
Let y = 0 + 8. Suppose -z + y = 2. Determine h so that 17*h**2 - 4*h**2 - 40*h**4 + 8*h + 16*h**5 + 9*h**3 - z*h = 0.
-1/4, 0, 1, 2
Let n be (-1)/(10/955) - (-2)/4. Let k = -90 - n. Factor f**3 + 4*f**2 + 7/2*f - 1/2*f**k - f**4 + 1.
-(f - 2)*(f + 1)**4/2
Let i(b) be the third derivative of b**5/12 - 55*b**4/6 + 1210*b**3/3 - 10*b**2 + 3*b. Factor i(j).
5*(j - 22)**2
What is n in -2/5*n**4 + 0*n - 7688/5*n**2 + 0 + 248/5*n**3 = 0?
0, 62
Let l(o) be the first derivative of o**9/4536 + o**8/2520 - o**7/1260 - o**6/540 + 5*o**3 - 16. Let p(s) be the third derivative of l(s). Factor p(y).
2*y**2*(y - 1)*(y + 1)**2/3
Let f(y) be the first derivative of y**4/2 - 4*y**3 + 9*y**2 - 8*y - 144. Factor f(l).
2*(l - 4)*(l - 1)**2
Let l(c) be the second derivative of c**7/420 - c**6/80 + c**5/60 + 4*c**2 - 8*c. Let m(q) be the first derivative of l(q). Solve m(i) = 0.
0, 1, 2
Let t(z) = 12*z**3 + 34*z**2 + 86*z + 128. Let c(g) = -g**3 - g**2 + g. Let p be (-2)/8 - 18/(-8). Let w(r) = p*t(r) + 20*c(r). Factor w(h).
4*(h + 4)**3
Let m be (-54)/4 - 4/(-8). Let o(a) = -5*a - 62. Let f be o(m). Factor -2/7*j**4 + 0 - 2/7*j**f + 2/7*j**5 + 2/7*j**2 + 0*j.
2*j**2*(j - 1)**2*(j + 1)/7
Let g be (9/6 - 0)/((-22)/(-44)). Factor 0*a + 3/5*a**g - 3/5*a**4 + 0 + 0*a**2.
-3*a**3*(a - 1)/5
Suppose 0 = -30*f + 259 - 169. Let p(m) be the first derivative of 2/75*m**5 - 11/15*m**2 - 2/5*m + 6 + 1/45*m**6 - 28/45*m**f - 1/5*m**4. Factor p(w).
2*(w - 3)*(w + 1)**4/15
What is x in 3/2*x**5 + 3/2*x**4 + 0*x - 6*x**2 - 6*x**3 + 0 = 0?
-2, -1, 0, 2
Let d(b) = -b**2 - 14*b - 1. Let j be d(-11). Let a be ((-9)/6)/((-12)/j). Let 2*s**2 + 9 + 0*s**4 + s**5 - 16*s**2 + 2*s**3 + 5*s**a + s - 4*s = 0. What is s?
-3, -1, 1
Let y(f) be the third derivative of 4*f**7/105 - f**6/10 - 11*f**5/15 + f**4 + 927*f**2. Factor y(r).
4*r*(r - 3)*(r + 2)*(2*r - 1)
Let i = -405/4 - -103