**3 + 4*m**3 - 9*m - 10*m**3 + o = 0. Calculate m.
-1, 2/7
Let h(n) be the third derivative of n**8/840 + 2*n**7/525 + n**6/300 + 14*n**2. Solve h(f) = 0.
-1, 0
Let k(h) = -20*h**3 + 6*h**2 + 14*h + 14. Suppose 2*y = 40 - 4. Let o = y - 13. Let d(u) = 7*u**3 - 2*u**2 - 5*u - 5. Let i(r) = o*k(r) + 14*d(r). Factor i(v).
-2*v**2*(v - 1)
Factor -54/11*t + 18/11*t**2 - 2/11*t**3 + 54/11.
-2*(t - 3)**3/11
Suppose -3*n = -2*n + 4*n. Let l(z) be the first derivative of 2/5*z**5 + n*z + 1/2*z**4 - 2/3*z**3 - 2 - z**2. Find f, given that l(f) = 0.
-1, 0, 1
Suppose -3*g = 3*u + 30, u = -4*u + 2*g - 15. Let w = 8 + u. Let -3/2*m**4 - 15/2*m**2 - 6*m**3 + 0 - w*m = 0. Calculate m.
-2, -1, 0
Let j(p) be the second derivative of 3*p + 1/24*p**4 - 1/4*p**2 + 0 + 0*p**3. Factor j(i).
(i - 1)*(i + 1)/2
Let w(d) be the second derivative of -d**4/3 + d**3/2 + d**2/2 + d. Let f(n) = 9*n**2 - 6*n - 2. Let o(j) = 6*f(j) + 13*w(j). Solve o(p) = 0 for p.
-1, -1/2
Let h(v) be the first derivative of v**5/45 - v**4/12 - 2*v**3/9 - v**2 + 4. Let r(q) be the second derivative of h(q). Let r(n) = 0. What is n?
-1/2, 2
Let x = 1 + -1. Let v = -15 + 61/4. Let 0 + v*u**3 + 0*u + x*u**2 - 1/4*u**4 = 0. What is u?
0, 1
Let a(n) be the first derivative of 4*n**3/3 - 4*n**2 - 15. Suppose a(i) = 0. Calculate i.
0, 2
Let a(k) = 4*k**2 - 2*k + 2. Let d(f) = f**3 + f - 1. Let j(u) = a(u) + 2*d(u). Factor j(p).
2*p**2*(p + 2)
Let c(y) be the second derivative of -y**6/105 + 3*y**5/35 - 13*y**4/42 + 4*y**3/7 - 4*y**2/7 - 12*y. Factor c(n).
-2*(n - 2)**2*(n - 1)**2/7
Let j(z) be the third derivative of z**7/35 + 11*z**6/60 + 4*z**5/15 - z**4/3 + 3*z**2. Factor j(k).
2*k*(k + 2)**2*(3*k - 1)
Let n(x) be the first derivative of 4*x**2 - 1 + 7/6*x**3 + 2*x. Factor n(q).
(q + 2)*(7*q + 2)/2
Let h(j) be the second derivative of j**4/66 - 2*j**3/33 + j**2/11 + j. Determine r, given that h(r) = 0.
1
Let x = 4420/3 + -1468. Factor x*z**2 - 11/3*z + 2/3 - 7/3*z**3.
-(z - 1)**2*(7*z - 2)/3
Let x(k) be the first derivative of 0*k**4 + 3 + 5/3*k**3 + 0*k**5 + 1/180*k**6 + 0*k**2 + 0*k. Let d(u) be the third derivative of x(u). Factor d(c).
2*c**2
Factor -17*z**2 + 0*z**3 + 7*z**3 + 11*z**2 + 2*z**3 - 3*z**5.
-3*z**2*(z - 1)**2*(z + 2)
Let a be -10*(6/3 + -3). Let p(c) = -c + 13. Let r be p(a). Factor 3*h**5 + 3*h**2 + 14*h**4 - 38*h**r + 8 - 32*h - 5*h**5 + 13*h**2 + 34*h**2.
-2*(h - 2)**2*(h - 1)**3
Suppose -3*p = -0*p. Let q = 86 - 772/9. Factor q*c**2 + p + 4/9*c**3 - 14/9*c**4 + 8/9*c**5 + 0*c.
2*c**2*(c - 1)**2*(4*c + 1)/9
Let h(g) be the second derivative of -g**6/6 + 3*g**5/4 - 5*g**4/12 - 5*g**3/2 + 5*g**2 - 12*g. Factor h(v).
-5*(v - 2)*(v - 1)**2*(v + 1)
Let g = 81 - 79. Factor 1/5*x**g - 2/5 + 1/5*x.
(x - 1)*(x + 2)/5
Let f(s) be the third derivative of 7/20*s**5 + 2*s**2 - 1/4*s**4 - 1/10*s**6 + 0*s - 2/35*s**7 + 0 + 0*s**3. Let f(n) = 0. Calculate n.
-2, 0, 1/2
Let d(g) be the third derivative of -g**7/3780 - g**6/270 - g**5/60 + g**4/4 - 8*g**2. Let f(p) be the second derivative of d(p). Factor f(a).
-2*(a + 1)*(a + 3)/3
Let w = -3 + 2. Let s = 5 + w. Let g + s*g**2 + g**4 - 2*g**5 + g - 5*g**4 = 0. Calculate g.
-1, 0, 1
Let a be ((-56)/4)/(-1 + -1). Let p be ((-16)/(-10))/(a + -6). Factor 2/5*q + 12/5*q**3 + 8/5*q**4 + 0 + p*q**2 + 2/5*q**5.
2*q*(q + 1)**4/5
Suppose 4*i - 3*i = -3*y + 11, -2 = -i. Let m**5 + 2*m**2 - y*m**4 - 3*m**2 - 5*m**3 + 3*m**5 + 4*m**2 + m = 0. What is m?
-1, -1/4, 0, 1
Let i(b) be the second derivative of b**4/96 + b**3/6 - 5*b. Factor i(a).
a*(a + 8)/8
Let y(a) be the third derivative of -3/20*a**5 - 1/42*a**7 + 1/10*a**6 + 3*a**2 + 1/12*a**4 + 0 + 0*a**3 + 0*a. Suppose y(z) = 0. Calculate z.
0, 2/5, 1
Find f, given that -5/12*f**2 + 0 - 1/2*f - 1/12*f**3 = 0.
-3, -2, 0
Factor 0 + 0*w - 1/5*w**3 - 2/5*w**2.
-w**2*(w + 2)/5
Let n = 245 - 2203/9. Factor 2/9 - 4/9*p**2 + 0*p + 0*p**3 + n*p**4.
2*(p - 1)**2*(p + 1)**2/9
Suppose 0*u - u - 6 = 0. Let t(j) = j**5 + j**3 - j**2 - j + 1. Let f(m) = 8*m**5 - 2*m**2 - 6*m + 6. Let c(k) = u*t(k) + f(k). Factor c(i).
2*i**2*(i - 1)**2*(i + 2)
Solve 0 + 0*c + 3/4*c**3 - 3/4*c**4 + 3/2*c**2 = 0 for c.
-1, 0, 2
Suppose 6*a - 2 - 10 = 0. Factor 1/4*y + 1/2*y**a + 0 + 1/4*y**3.
y*(y + 1)**2/4
Let m(l) be the first derivative of l**6/40 + 3*l**5/20 + 3*l**4/8 + l**3/2 + l**2 + 4. Let w(q) be the second derivative of m(q). Factor w(v).
3*(v + 1)**3
Let g(a) be the second derivative of -a**8/3360 + a**7/630 - a**6/360 + a**4/12 - a. Let h(l) be the third derivative of g(l). Factor h(j).
-2*j*(j - 1)**2
Factor 35/2*y + 9/2 - 2*y**2.
-(y - 9)*(4*y + 1)/2
Solve 3/4 + 5/4*d + 1/2*d**2 = 0.
-3/2, -1
Let r(l) = -l**4 + l**2 + l. Let h(o) = -5*o**4 + 6*o**3 - o**2 + 3*o. Let d(c) = 2*h(c) - 6*r(c). Factor d(g).
-4*g**2*(g - 2)*(g - 1)
Let k be ((-6)/(-12))/(1/6). Let z(x) be the third derivative of 1/48*x**4 + 0*x - 4*x**2 + 0 - 1/24*x**5 + 0*x**k + 1/60*x**6. What is j in z(j) = 0?
0, 1/4, 1
Let -1/2 + y - 1/2*y**2 = 0. What is y?
1
Let s be ((-3)/(-2))/((-21)/(-28)). Let t(w) be the third derivative of 2/9*w**3 - 5/72*w**6 + 3*w**s + 0*w + 0 + 1/36*w**5 + 2/9*w**4. Factor t(x).
-(x - 1)*(5*x + 2)**2/3
Let j(t) be the third derivative of -17*t**5/30 + t**4/6 - 3*t**2. Suppose j(s) = 0. What is s?
0, 2/17
Let r(n) be the third derivative of n**5/30 + 5*n**4/84 - 2*n**3/21 + 4*n**2. Factor r(v).
2*(v + 1)*(7*v - 2)/7
Let c(p) be the first derivative of 2197*p**6/42 - 1014*p**5/35 + 39*p**4/7 - 8*p**3/21 - 27. Factor c(j).
j**2*(13*j - 2)**3/7
Let f(y) be the third derivative of 2*y**2 + 0 + 0*y**4 - 1/35*y**7 + 0*y**5 + 1/40*y**6 + 0*y**3 + 0*y + 1/112*y**8. Factor f(b).
3*b**3*(b - 1)**2
Suppose 120*z - 123*z = -9. Factor 2/11*d**2 - 2/11*d**z - 2/11 + 2/11*d.
-2*(d - 1)**2*(d + 1)/11
Let o be (36/(-42))/(6/(-8)). Determine b so that -2/7*b**2 - 6/7 + o*b = 0.
1, 3
Let v(c) = -11*c**4 - 23*c**3 - 16*c**2 - 12*c - 8. Let u(o) = -4*o**4 - 8*o**3 - 5*o**2 - 4*o - 3. Let s(p) = 8*u(p) - 3*v(p). Factor s(i).
i*(i + 1)*(i + 2)**2
Let u be 6/(-4)*(-13)/78. Factor -u*v + 1/4*v**3 + 0*v**2 + 0.
v*(v - 1)*(v + 1)/4
Factor -y**3 + 4*y**4 - y**3 - 6*y**4.
-2*y**3*(y + 1)
Let u(h) = 25*h**3 - 35*h**2 + 11*h + 3. Let b(j) = 99*j**3 - 141*j**2 + 45*j + 12. Let a(s) = 4*b(s) - 15*u(s). Let a(f) = 0. Calculate f.
-1/7, 1
Let k = 6 + -2. Determine c so that 0*c**k + 2*c**2 + c**3 - c - c**2 - c**4 = 0.
-1, 0, 1
Suppose 5*y = u + 24, -4*u + 3*y - 14 = -3. Factor 5 + i**2 - u - 4 + i**3.
i**2*(i + 1)
Let b(c) be the second derivative of -c**4/3 + c. Factor b(w).
-4*w**2
Let b(a) = 2*a**5 + 4*a**4 - 8*a**3 - 2*a. Let s(d) = -3*d**3 - d + d**4 + 7*d**3 - 5*d**3. Let h(j) = -b(j) + 4*s(j). Factor h(o).
-2*o*(o - 1)**2*(o + 1)**2
Let f be (2/4 - 18/4) + 7. Suppose 96/7*m**f + 0 + 72/7*m**4 + 26/7*m**2 + 2/7*m = 0. Calculate m.
-1, -1/6, 0
Let k = -7 - -11. Factor 2*t**5 + 4*t**3 - 3*t**5 - 7*t - 2*t**2 + k*t + 2.
-(t - 1)**3*(t + 1)*(t + 2)
Let k(o) = -o**3 - 15*o**2 - 15*o - 12. Let f be k(-14). Suppose -f*w + 4 = -0*w. Factor 0*v**3 + 0*v**w + 0 + 2/9*v**5 + 2/9*v**4 + 0*v.
2*v**4*(v + 1)/9
Let g = 5/31 + 16/93. Factor -x + g + 2/3*x**2.
(x - 1)*(2*x - 1)/3
Let d be (-1)/(-4) + 12/(-144). Let q(k) be the first derivative of 0*k + 3 - 1/15*k**5 - d*k**4 + 0*k**2 - 1/9*k**3. Factor q(r).
-r**2*(r + 1)**2/3
Let w(p) be the third derivative of 4*p**7/105 - p**6/12 - p**5/10 + 5*p**4/12 - p**3/3 - 3*p**2. Factor w(l).
2*(l - 1)**2*(l + 1)*(4*l - 1)
Let f(m) = -m + 1. Let o be f(-2). Find z such that z**5 + 0*z**3 + 2*z**4 + 0*z**o - z**4 = 0.
-1, 0
Let z(y) be the first derivative of 3 + 1/2*y**3 + 1/8*y**4 - 5/4*y**2 - 1/10*y**5 + y. Factor z(r).
-(r - 1)**3*(r + 2)/2
Let i(w) = -15*w**2 + 60*w + 4. Let z be i(4). Determine g so that 0 + 1/2*g**z - g**3 + g - 1/2*g**2 = 0.
-1, 0, 1, 2
Suppose 5*a + 3*i - 27 = 0, -3 = a - i - 2. Suppose -5*z + 9 + 6 = 5*q, 3 = z + a*q. Suppose 0*t**2 + 0*t**z - 1/3*t**4 + 0 + 0*t = 0. Calculate t.
0
Suppose 5*o + 4*b + 6 = -0*b, o + 5*b + 18 = 0. Factor 0*i - 2/5*i**o + 2/5*i**4 + 2/5*i**5 + 0 - 2/5*i**3.
2*i**2*(i - 1)*(i + 1)**2/5
Suppose -21*l + 6 = -18*l. Solve -6/7*c**l - 4/7 + 10/7*c = 0 for c.
2/3, 1
Factor 4*q + 10/3 + 2/3*q**2.
2*(q + 1)*(q + 5)/3
Let p(d) be the second derivative of d**5/30 - d**3/3 - d**2/2 + 3*