 derivative of -f**7/105 + 2*f**6/15 - f**5/5 - 10*f**4/3 - 25*f**3/3 - 4*f**2 - 2*f. Factor x(p).
-2*(p - 5)**2*(p + 1)**2
Let l(q) be the third derivative of -q**7/70 + 3*q**6/10 - 41*q**5/20 + 21*q**4/4 + 537*q**2. Find v, given that l(v) = 0.
0, 2, 3, 7
Let w(h) be the first derivative of 3*h**6/4 - 24*h**5/5 + 11*h**4 - 32*h**3/3 + 4*h**2 - 79. Determine z so that w(z) = 0.
0, 2/3, 2
Let 0 - 2/13*p**2 + 18/13*p = 0. What is p?
0, 9
Let d(s) = -s**3 - 2*s**2 + 5*s + 6. Let l(j) = j**3 + 2*j**2 - 4*j - 5. Suppose -5*k + 30 = -5*r, -3*k + 3 = 3*r + 9. Let a(o) = r*l(o) - 3*d(o). Factor a(q).
-(q - 1)*(q + 1)*(q + 2)
Let g(a) be the third derivative of -a**5/300 - 7*a**4/30 + 29*a**3/30 - 37*a**2. Factor g(f).
-(f - 1)*(f + 29)/5
Let j be 12*(-4)/(-42)*7 + -2. Let p(u) be the first derivative of 6*u - 3/2*u**2 - u**3 + j. Factor p(b).
-3*(b - 1)*(b + 2)
Let o = -14 + 22. Suppose -4*i - o = 0, -4*i + 1 - 9 = 4*m. Let a - 1 + m*a**2 + 0*a**2 - a**2 + 3 = 0. Calculate a.
-1, 2
Let 3/5*h**4 + 3*h**3 - 24/5 - 12/5*h + 18/5*h**2 = 0. Calculate h.
-2, 1
Let x(i) = -16*i**5 + 4*i**4 + 34*i**3 + 34*i**2 + 10*i - 10. Let z(v) = -5*v**5 + v**4 + 11*v**3 + 11*v**2 + 3*v - 3. Let a(g) = 6*x(g) - 20*z(g). Factor a(k).
4*k**2*(k - 2)*(k + 1)*(k + 2)
Suppose -2*u = -4 - 6. Factor 5 + 3*z - u - 3*z**2 + 3*z.
-3*z*(z - 2)
Let w(m) = m**2 + 10*m - 2. Let j be w(-10). Let y(l) = 2*l**2 + 2*l - 1. Let v be y(j). Factor -c**2 - 14*c + 4*c**5 + 17*c**2 + 0*c + 12*c**v - 16*c**4 - 2*c.
4*c*(c - 2)**2*(c - 1)*(c + 1)
Let a(t) = 7*t**4 - 4*t**3 + 3*t**2 - t + 5. Let p(f) = -12*f + 12*f + 3 + 1 - 4*f**3 + 6*f**4 + 2*f**2. Let s(v) = -4*a(v) + 5*p(v). Factor s(d).
2*d*(d - 2)*(d - 1)*(d + 1)
Let u(y) be the third derivative of -1/40*y**5 + 12*y**2 - 1/2*y**3 + 0 - 3/16*y**4 + 0*y. Factor u(j).
-3*(j + 1)*(j + 2)/2
Let c be 12/(14/4 - 2). Suppose -5*b + 28 = -3*n, -4*n = 2*b + 2 - c. Suppose -3*s**3 - s**b + 0*s**5 + s**3 + 3*s**4 = 0. Calculate s.
0, 1, 2
Let n be (2/4)/((-8)/32). Let m(o) = 2*o**2 + 2*o - 2. Let f be m(n). Suppose -f*g**2 - 3*g**2 + 2*g**2 = 0. What is g?
0
Suppose -15 = -4*d + d. Suppose 5*n - 5*i = 35, 0 = d*n - i - i - 20. Factor 2/7*y**4 + 0*y + 4/7*y**3 + 0 + 0*y**n.
2*y**3*(y + 2)/7
Let g(j) = -j**3 - 5*j**2 + 3*j + 2. Let c be g(-5). Let k = 15 + c. Factor -3*u**2 + u**2 - 3 + 8*u**k - 3*u**4.
-3*(u - 1)**2*(u + 1)**2
Let s(u) be the third derivative of u**5/90 + 7*u**4/12 - 22*u**3/9 - 9*u**2 - 11. Determine c, given that s(c) = 0.
-22, 1
Determine p so that 0 - 32/3*p - 8*p**3 - 167/3*p**4 + 7*p**5 + 44*p**2 = 0.
-1, 0, 2/7, 2/3, 8
Suppose g + 5*t + 16 = 0, 4*g + 196*t = 198*t + 24. Factor -40/3*c + 10/3*c**3 - 5/3*c**g + 20/3*c**2 + 0.
-5*c*(c - 2)**2*(c + 2)/3
Let h(z) be the second derivative of -z**5/30 + 4*z**4/9 - 20*z**3/9 + 16*z**2/3 + 3*z - 17. Factor h(d).
-2*(d - 4)*(d - 2)**2/3
Let y be 0/((-16)/(1 + -9)). Find b such that -3/2*b**5 + 9/2*b**2 + 0 + y*b + 3/2*b**3 - 9/2*b**4 = 0.
-3, -1, 0, 1
Let d(r) = -r + 13 + 10*r + 0*r + 7*r**2 - r. Let l(t) be the second derivative of t**4/2 + 3*t**3/2 + 6*t**2 + 11*t. Let a(k) = 3*d(k) - 4*l(k). Factor a(o).
-3*(o + 1)*(o + 3)
Suppose -2*m + 20*m - 540 = 0. Suppose 30*a = 40*a - m. Factor 0*g + 1/3*g**2 - 1/3*g**a + 0.
-g**2*(g - 1)/3
Let z = 957 + -951. Let o(a) be the second derivative of -z*a + 0 - 1/2*a**3 - 1/12*a**4 - a**2. Factor o(f).
-(f + 1)*(f + 2)
Let i(t) be the first derivative of -t**7/40 + t**6/10 + 5*t**5/8 + 3*t**4/4 + 8*t**3/3 + 26. Let u(f) be the third derivative of i(f). Factor u(l).
-3*(l - 3)*(l + 1)*(7*l + 2)
Factor -2/7*w**3 - 22/7*w**2 - 18/7 - 38/7*w.
-2*(w + 1)**2*(w + 9)/7
Solve -1/7*l + 1/7*l**3 - 31/7 + 31/7*l**2 = 0 for l.
-31, -1, 1
Factor -18 + 5*m**2 - 6*m**2 - 28*m - m**2 + 66 + 4*m**2.
2*(m - 12)*(m - 2)
Let b(j) be the second derivative of -j**7/84 + j**6/20 + 7*j**5/40 - 5*j**4/8 - 3*j**3/2 - 241*j. Determine v, given that b(v) = 0.
-2, -1, 0, 3
Let z(c) = c**3 + 10*c**2 - c - 7. Let q be z(-10). Find l, given that 20*l - 56*l**2 - q - 2 + 60*l**2 + 21 = 0.
-4, -1
Let x(i) = i**2 + 11*i + 10. Suppose 4*c + z = -45, -2*z + 5 = -c - z. Let a be x(c). Factor 2*p**2 - 7*p + 5*p + a*p**2.
2*p*(p - 1)
Suppose 3*u - 6*u + 5*j = -26, -3*u - 5*j = 14. Determine h, given that -2/7*h**u - 4/7 + 6/7*h = 0.
1, 2
Factor -3*r**3 - 24/5*r**2 + 0 - 3/5*r**4 - 12/5*r.
-3*r*(r + 1)*(r + 2)**2/5
Let b(s) be the second derivative of 0*s**2 + 3/80*s**5 - 1/56*s**7 + 0 + 0*s**3 + 0*s**6 - 14*s + 0*s**4. Let b(i) = 0. What is i?
-1, 0, 1
Suppose -4*h + 12 = w, 4*h = -4*w + 19 + 5. Find d such that 0 + 9*d**3 - 6*d**4 + 3/2*d**5 + 3/2*d - 6*d**h = 0.
0, 1
Let j(p) be the first derivative of -4*p**5/15 - 2*p**4/3 + 28*p**3/9 + 16*p**2/3 - 16*p + 158. Suppose j(m) = 0. What is m?
-3, -2, 1, 2
Factor 18*y**3 + 9 - 1 + 8 + 52*y - 86*y**2.
2*(y - 4)*(y - 1)*(9*y + 2)
Suppose -3*k = -k - 6. Solve -3*b**4 + 2*b**3 - 4*b**k + b**3 - 2*b**3 = 0.
-1, 0
Determine s, given that -1/10*s**2 + 2*s - 19/10 = 0.
1, 19
Factor 12527*c + 232*c**4 - 7000 + 16*c**5 + 582*c**3 - 40227*c - 11440*c**2 + 12*c**5 - 1358*c**3.
4*(c - 7)*(c + 5)**3*(7*c + 2)
Let v be 7 + -11 + (7 - 3). Let x(d) be the third derivative of 2/3*d**3 + 2/5*d**5 + 0 + v*d - 2/15*d**6 - 4*d**2 + 2/105*d**7 - 2/3*d**4. Solve x(i) = 0.
1
Let r be 18*((-24)/(-9))/(-4). Let u be (-3)/12 - 27/r. Factor -x + 10*x**2 - 9*x**2 + u*x.
x*(x + 1)
Let z(n) be the first derivative of 4*n - 28 + 49/27*n**3 - 14/3*n**2. Factor z(o).
(7*o - 6)**2/9
Let z be (-2 - 1)*((-2)/(-29) - 12200/8700). Factor 2/11*q**z + 6/11*q**3 + 0 + 0*q + 4/11*q**2.
2*q**2*(q + 1)*(q + 2)/11
Suppose 4*k = 2*l + 182, 5*k - 3*k + 305 = -3*l. Let h be (((-126)/l)/(-7))/(1 - 2). Let 0*g**2 + 4/11*g**3 + 0 + h*g**4 + 0*g - 2/11*g**5 = 0. Calculate g.
-1, 0, 2
Let p(l) be the third derivative of l**7/735 + 27*l**6/140 + 79*l**5/210 - 27*l**4/28 - 80*l**3/21 + l**2 - 31. Solve p(f) = 0 for f.
-80, -1, 1
Let a(n) be the third derivative of -n**6/30 + 8*n**5/3 - 200*n**4/3 - 3*n**2 + 20. Determine p, given that a(p) = 0.
0, 20
Let c(n) be the third derivative of -n**7/665 + n**6/57 - n**5/114 - 10*n**4/57 - 4*n**3/19 - 8*n**2 - 2*n. Determine o, given that c(o) = 0.
-1, -1/3, 2, 6
Let j(f) be the second derivative of f**5/40 + f**4/12 - 2*f**3/3 + 123*f - 3. Suppose j(b) = 0. Calculate b.
-4, 0, 2
Let l(w) = -120*w**2 + 132*w - 57. Let x(t) = -17*t**2 + 19*t - 8. Let y(u) = -2*l(u) + 15*x(u). Factor y(n).
-3*(n - 1)*(5*n - 2)
Let b = 83/205 + -1/205. Factor 128/5 - 8/5*t**3 + 64/5*t - 24/5*t**2 + b*t**4.
2*(t - 4)**2*(t + 2)**2/5
Let o(l) = -l**4 - 6*l**3 + 8*l**2 + 5. Let x(p) = -5*p**4 + p**3 + 23*p**2 + 2*p**4 - 6*p**3 + 14 - 12*p**3. Let j(r) = 17*o(r) - 6*x(r). Solve j(q) = 0.
-1, 1
Let o(j) be the second derivative of 1/20*j**6 + 11/40*j**5 + 0 + 1/4*j**4 + 2*j + 0*j**3 + 0*j**2. Factor o(p).
p**2*(p + 3)*(3*p + 2)/2
Let s(a) = a**2 - 19*a + 64. Let d(y) = y**2 + 5*y - 64 + 13*y - 2*y**2. Let v(t) = -6*d(t) - 4*s(t). Determine b so that v(b) = 0.
8
Let s(t) be the third derivative of t**8/7560 - t**6/810 + t**4/108 + t**3/2 - 13*t**2. Let i(c) be the first derivative of s(c). Factor i(g).
2*(g - 1)**2*(g + 1)**2/9
Let v(n) = 7*n**2 + 6*n - 1. Let r(i) = i + 1. Let z(b) = -b**2 - 5*b - 6. Let w(u) = 5*r(u) + z(u). Let c(y) = v(y) + 3*w(y). Factor c(g).
2*(g + 2)*(2*g - 1)
Let i(t) be the third derivative of t**6/90 + t**5/6 + t**4 + 2*t**3 + 33*t**2. Let o(n) be the first derivative of i(n). Factor o(u).
4*(u + 2)*(u + 3)
Suppose 4*w + w - g - 68 = 0, -32 = 4*g. Factor -w*t - 32/3 - 4/3*t**2.
-4*(t + 1)*(t + 8)/3
Let a(t) = t**2 + 6*t - 7. Let s be a(-7). Let z be (5 - (3 + s)) + -2. Suppose 9*y + 0*y**2 + z*y**2 - y - 4*y**2 - 4 = 0. Calculate y.
1
Let m(k) be the first derivative of k**6/90 - 2*k**5/15 + k**4/2 - 8*k**3/3 + 10. Let f(s) be the third derivative of m(s). Factor f(a).
4*(a - 3)*(a - 1)
Let d(o) be the third derivative of o**5/12 + 2*o**4/3 + o**3 + o**2. Let u(s) = -5*s**2 - 15*s - 5. Let h(r) = 5*d(r) + 6*u(r). Suppose h(x) = 0. What is x?
-2, 0
Let u(b) be the first derivative of -5*b**6/2 - 14*b**5 - 85*b**4/4 - 10*b**3 - 109. Solve u(k) = 0.
-3, -1, -2/3, 0
Let z(a) = a**4 + a**3 + 3*a**2 + 3*a + 3. Let q(y) = 0*y + 5 - 8*y + 0*y**3 + 13*y + 2*y