f g(v). Factor f(i).
2*i**2*(i + 1)**3/3
Let g be -5*(2 + (-92)/45). Let q be 0 + (-1 - -2) + 1. Determine w so that 0 + 0*w - g*w**q + 2/9*w**3 = 0.
0, 1
Let z = 7 + -17. Let x = -6 - z. Determine q, given that -6/5*q**2 - 2/5*q**x + 0 - 6/5*q**3 - 2/5*q = 0.
-1, 0
Let p(h) = 10*h**2 + 10*h - 20. Let r(u) = -5*u**2 - 5*u + 10. Let d(g) = 2*p(g) + 5*r(g). Factor d(q).
-5*(q - 1)*(q + 2)
Let p(u) be the second derivative of u**4/12 + 2*u**3/3 - 5*u**2/2 + 5*u. What is r in p(r) = 0?
-5, 1
Suppose 10 = 5*h - 5*a, -2*h + 4 = -h + a. Factor 4*f**3 + 5*f**h + 9*f**2 + f + 8*f + 3 - 6*f**3.
3*(f + 1)**3
Let x be ((-93)/217)/((6/4)/(-1)). Factor 2*i**2 - 10/7*i - 6/7*i**3 + x.
-2*(i - 1)**2*(3*i - 1)/7
Let a(r) be the second derivative of r**4/36 + 7*r**3/9 + 49*r**2/6 + 6*r. Factor a(u).
(u + 7)**2/3
Factor 4*x**3 + 3*x**3 - 2*x**2 - 6*x**3 - 3*x**3.
-2*x**2*(x + 1)
Let -6*u**2 - 315 - 3*u - 3*u**3 + 315 = 0. Calculate u.
-1, 0
Let w = 55 - 4124/75. Let i(q) be the third derivative of 0 + 1/150*q**6 + 0*q**4 + 0*q - 3*q**2 + 0*q**3 - 1/1050*q**7 - w*q**5. Let i(k) = 0. Calculate k.
0, 2
Let r be (-7 - 186/(-26)) + 58/130. Factor -r*o + 2/5 + 1/5*o**2.
(o - 2)*(o - 1)/5
Factor 0 - 3*a**2 + 0*a + 15/4*a**4 + 6*a**3.
3*a**2*(a + 2)*(5*a - 2)/4
Suppose 3*w - 5*u + 12 = -1, 27 = 3*w + 3*u. Let a be w/6 + 40/75. Find k, given that a*k + 4/5 + 2/5*k**2 = 0.
-2, -1
Let g(m) be the first derivative of -1 + 3*m + 1/60*m**6 - 1/10*m**5 + 1/4*m**4 - 1/3*m**3 + 1/4*m**2. Let l(b) be the first derivative of g(b). Factor l(w).
(w - 1)**4/2
Let f(a) be the first derivative of a**6/12 + a**5/5 + a**4/8 + 8. Find l, given that f(l) = 0.
-1, 0
Let i(b) be the third derivative of -b**7/945 - b**6/270 - b**5/270 + 5*b**2. Let i(q) = 0. Calculate q.
-1, 0
Factor 10*u**2 - 3*u - 8 - 9*u + u**4 - 12*u**2 + 3*u**3.
(u - 2)*(u + 1)*(u + 2)**2
Let d = -24 + 26. Let x(f) be the third derivative of 0*f**4 - 1/3*f**3 + 0 + 0*f + 1/30*f**5 - 2*f**d. Let x(v) = 0. Calculate v.
-1, 1
Let b(k) = -44*k**4 - 72*k**3 + 44*k**2 + 72*k. Let o(c) = -8*c**4 - 13*c**3 + 8*c**2 + 13*c. Let q(p) = -5*b(p) + 28*o(p). Factor q(h).
-4*h*(h - 1)*(h + 1)**2
Let s be 3/3 - (-2 + 0). Let x(y) = 3*y**4 + 4*y**s - 5*y + 0*y**3 - 2*y**4. Let p(g) = -g**4 - 5*g**3 + 6*g. Let l(m) = 5*p(m) + 6*x(m). Factor l(n).
n**3*(n - 1)
Factor 0*z + 0 - 2/3*z**3 + 0*z**2 + 2/9*z**4.
2*z**3*(z - 3)/9
Let h = 28/31 + 1838/93. Let z(s) be the first derivative of 27/2*s**4 - 8*s - 1 + h*s**3 - 9*s**6 + 0*s**2 - 54/5*s**5. Find w, given that z(w) = 0.
-1, -2/3, 1/3, 1
Factor -2*y**3 - 38/9*y - 68/9*y**2 + 4/3.
-2*(y + 1)*(y + 3)*(9*y - 2)/9
Factor 6/11*t**3 + 12/11 - 6/11*t - 12/11*t**2.
6*(t - 2)*(t - 1)*(t + 1)/11
Let h(m) be the first derivative of m**6/33 - 3*m**4/22 + 4*m**3/33 + 26. Factor h(g).
2*g**2*(g - 1)**2*(g + 2)/11
Let i be 8*1/((-4)/6). Let w(p) = -p**3 - 13*p**2 - 11*p + 12. Let r be w(i). Solve 3/4*c**3 + 1/2*c**2 + 0*c + r = 0.
-2/3, 0
Suppose 3*p - 6 = a - 2, p = -5*a + 12. Factor -1 + 2*q - 1 + 2*q**2 + a.
2*q*(q + 1)
Let i(a) be the third derivative of -1/20*a**5 - 1/120*a**6 + 0*a**3 + 8*a**2 - 1/12*a**4 + 0*a + 0. Factor i(f).
-f*(f + 1)*(f + 2)
Let o(l) = l**2 - 60*l + 59. Let w(r) = -2*r**2 + 90*r - 88. Let x(g) = 8*o(g) + 5*w(g). Find k such that x(k) = 0.
-16, 1
Let f = -8173/15 + 547. Let c(x) be the second derivative of -1/75*x**6 + 2*x + 0 - 4/5*x**4 - 4/25*x**5 - 16/5*x**2 - f*x**3. Find u such that c(u) = 0.
-2
Let b(r) be the second derivative of -r**6/30 - r**5/5 - r**4/4 + 2*r**3/3 + 2*r**2 - 13*r. Factor b(i).
-(i - 1)*(i + 1)*(i + 2)**2
Let a(p) = -p - 4. Let o be a(2). Let z(y) = y**2 + y + 2. Let b(l) = -5*l**2 - 4*l - 10. Let x(c) = o*b(c) - 33*z(c). Determine q so that x(q) = 0.
-2, -1
Suppose -16 = -4*m, -3*o + m + 4 + 1 = 0. Suppose -6*x**2 - x + 2*x**o + 0*x**3 - 2*x + 7*x = 0. Calculate x.
0, 1, 2
Suppose 3*k - 3*v + 9 = 2*k, 10 = -2*k + 4*v. Suppose 5*w - 10 = -0. Suppose m - 2*m**3 - 2 - m + 4*m - 2*m**k + w*m**2 = 0. Calculate m.
-1, 1/2, 1
Let j = 4/17 - -5/51. Factor 2/3*y**4 + 0 - 1/3*y**5 + j*y - 2/3*y**2 + 0*y**3.
-y*(y - 1)**3*(y + 1)/3
Let j be -3 + 2 - 49/(-14) - 2. Let 0*i**2 + i**3 - i - j + 1/2*i**4 = 0. Calculate i.
-1, 1
Let p(n) be the first derivative of 1/8*n**4 + 5 - 1/2*n**3 + 3/4*n**2 - 1/2*n. Factor p(a).
(a - 1)**3/2
Let l(q) be the third derivative of 0*q - 2*q**2 + 0*q**3 + 1/24*q**4 + 1/30*q**5 + 1/120*q**6 + 0. Factor l(h).
h*(h + 1)**2
Let u = 0 - 3. Let d(z) = 6*z**3 + 6*z**2 - 3. Let o(y) = -17*y**3 - 17*y**2 + y + 9. Let m(a) = u*o(a) - 8*d(a). Factor m(b).
3*(b - 1)*(b + 1)**2
Let o be (5 - 188/36)/((-20)/3). Let n(k) be the third derivative of -2*k**2 - 1/12*k**4 + 1/60*k**6 - 1/3*k**3 + 0 + 0*k + o*k**5. Factor n(i).
2*(i - 1)*(i + 1)**2
Let d(u) be the third derivative of u**7/2520 - u**5/120 - u**4/24 - u**2. Let s(j) be the second derivative of d(j). Factor s(i).
(i - 1)*(i + 1)
Let t = -653 + 4581/7. Determine a, given that 10/7*a + 2/7 - t*a**3 - 8/7*a**4 + 6/7*a**2 = 0.
-1, -1/4, 1
Let r(i) be the first derivative of i**5/210 - i**4/42 + i**2 + 4. Let o(y) be the second derivative of r(y). Factor o(d).
2*d*(d - 2)/7
Suppose -20 = i - 4*y, -i + 1 = -y + 6. Let p = 0 - i. Solve -1/5*z - 2/5*z**2 + 2/5*z**4 + 1/5*z**5 + p*z**3 + 0 = 0 for z.
-1, 0, 1
Let x be ((-2)/3)/((-838)/(-6)). Let q = x - -1694/3771. Solve -2/9 - 2/9*y**2 + q*y = 0 for y.
1
Let q be ((-6)/1)/(-4 + 2). Let w be 15/(-5) + 10/q. Determine t so that 1/3*t + 1/3*t**4 - 2/3*t**2 - 2/3*t**3 + w + 1/3*t**5 = 0.
-1, 1
Factor -3*d**2 + 1204 - 9*d**4 - 1204 + 9*d**3 + 3*d**5.
3*d**2*(d - 1)**3
Let v(t) be the third derivative of -t**5/150 + t**4/10 + 11*t**2. Factor v(i).
-2*i*(i - 6)/5
Determine h, given that 32/5 + 112/5*h**4 + 176/5*h + 56/5*h**2 - 572/5*h**3 + 196/5*h**5 = 0.
-2, -2/7, 1
Let f(q) be the first derivative of q**5/20 - q**4/8 - 3*q**2/2 + 5. Let w(l) be the second derivative of f(l). Factor w(c).
3*c*(c - 1)
Let u(t) be the third derivative of 0 + 0*t - 4*t**2 + 0*t**4 + 0*t**3 + 1/210*t**7 - 1/240*t**6 - 1/672*t**8 + 0*t**5. Factor u(m).
-m**3*(m - 1)**2/2
Let z be (-51)/136 + 1766/16. Let w be 3/(-5) - (-231)/z. Solve 5/2*l**2 - 1 - w*l = 0.
-2/5, 1
Factor 2*h**3 - 4/3 + 4*h - 1/3*h**4 - 13/3*h**2.
-(h - 2)**2*(h - 1)**2/3
Suppose -4*a + 2*h + 19 = -h, -5*a = 5*h - 15. Let m(v) be the second derivative of -1/6*v**2 + 1/15*v**5 - v + 5/18*v**3 + 0 - 2/9*v**a. Factor m(d).
(d - 1)*(2*d - 1)**2/3
Let d be 4/(-14) + 37/7. Let a(s) be the first derivative of -1/2*s - 4 - 3/8*s**2 + 1/20*s**d + 3/16*s**4 + 1/12*s**3. Suppose a(f) = 0. Calculate f.
-2, -1, 1
Let t(i) be the second derivative of i**5/90 - 7*i**4/54 + 8*i**3/27 + 16*i**2/9 + 10*i. Let t(x) = 0. Calculate x.
-1, 4
Let j be (-7)/441*-39 - (-4)/(-14). Factor 0 - 1/3*g - j*g**2.
-g*(g + 1)/3
Let v(x) be the third derivative of -x**8/100800 - x**7/8400 - x**6/1800 - x**5/60 - x**2. Let a(o) be the third derivative of v(o). Let a(h) = 0. What is h?
-2, -1
Let k(s) be the first derivative of 1 + 7/5*s**5 + 0*s + 0*s**2 + 5/6*s**6 + 0*s**3 + 1/2*s**4. Factor k(f).
f**3*(f + 1)*(5*f + 2)
Let q(d) be the second derivative of 0 - 1/7*d**3 + 0*d**2 + 1/28*d**4 - 3*d. Factor q(y).
3*y*(y - 2)/7
Let l(p) be the second derivative of -1/21*p**3 + 0 - 1/21*p**4 - 1/70*p**5 - p + 0*p**2. Find w, given that l(w) = 0.
-1, 0
Factor 241*s**2 - 118*s**2 - s**3 - 3*s + 4*s**3 - 120*s**2 - 3.
3*(s - 1)*(s + 1)**2
Let y(a) be the second derivative of 1/6*a**4 - a**3 - 3*a + 0 + 2*a**2. Determine o, given that y(o) = 0.
1, 2
Let h(s) be the third derivative of -s**5/240 - s**4/96 - 6*s**2. Determine y so that h(y) = 0.
-1, 0
Let s(c) = c**3 + c**2 + 1. Let x(b) be the third derivative of 47*b**6/120 - 2*b**5/15 - b**4/3 - 2*b**3/3 - 9*b**2. Let w(r) = 12*s(r) + 4*x(r). Factor w(t).
4*(2*t - 1)*(5*t + 1)**2
Let r(v) = -v**4 + v**3 + 2*v - 1. Let t(b) = 2*b**5 - b**4 + 5*b**3 - 4*b**2 + 8*b - 5. Let w(y) = -5*r(y) + t(y). Factor w(n).
2*n*(n - 1)*(n + 1)**3
Suppose -2*v + 3*v - 5 = 0. Let j = v - 3. Factor 2 + b**3 + 3*b**j - 2*b**3 - 6.
-(b - 2)**2*(b + 1)
Factor -2/9*c**2 + 10/9*c + 0.
-2*c*(c - 5)/9
Suppose 5*k = 2*z + 21 - 7, -5*z + 35 = 5*k. Let o(f) be the third derivative of 0*f - 1/54*f**4 + f**2 + 1/27*f**z + 0 + 