*m**4 - 3*m**2 + 0. Factor i(j).
-2*j*(j - 1)
Factor -3*f**5 + 4*f**5 + f**5 + 2*f**5 + 4*f**4.
4*f**4*(f + 1)
Let a(x) be the first derivative of x**4 + 20*x**3/3 + 16*x**2 + 16*x - 8. Determine i so that a(i) = 0.
-2, -1
Let f(m) be the third derivative of 2*m**2 + 1/945*m**7 + 0*m + 1/270*m**5 + 0*m**3 + 0*m**4 - 1/270*m**6 + 0. Factor f(s).
2*s**2*(s - 1)**2/9
Factor 5/2*i**2 - 1/2 - i**3 - 2*i**4 + 5/4*i**5 - 1/4*i.
(i - 1)**3*(i + 1)*(5*i + 2)/4
Suppose -y + 11 = -2*g, 0*y - 3*g = 2*y - 15. Suppose -3*i**2 + 0*i - y*i + 3*i**3 - 6 + 3*i**2 = 0. What is i?
-1, 2
Let i be -4*(-5)/15 + (-4)/3. Find u, given that -1/4*u**3 + 0*u**2 + i*u**4 + 1/4*u**5 + 0 + 0*u = 0.
-1, 0, 1
Let f = 617 - 30849/50. Let l(r) be the third derivative of 2*r**2 + 1/100*r**6 + 1/60*r**4 - f*r**5 + 0*r - 1/525*r**7 + 0 + 0*r**3. Let l(w) = 0. What is w?
0, 1
Let w(y) be the second derivative of 0 - 1/10*y**5 - 2/3*y**4 - 5/3*y**3 + 4*y - 2*y**2. Determine j, given that w(j) = 0.
-2, -1
Let t be ((-7)/(-2))/7*0. Factor t*x**3 + 3*x**4 + x**3 - 7*x**2 - 4*x**3 + x**2.
3*x**2*(x - 2)*(x + 1)
Suppose 4*h - 98 = -2*l, h - 4*l = -3*l + 20. Suppose -h = -4*f - 7. Determine q, given that 2*q**2 + 0*q - 3/2*q**f + 4*q**3 + 0 - 9/2*q**5 = 0.
-2/3, 0, 1
Suppose 3*b - 2*z = 29 + 44, z = 5*b - 124. Let u be ((-10)/b)/(8/(-10)). Let 0*g + 0 - u*g**3 - g**2 + 1/2*g**4 = 0. Calculate g.
-1, 0, 2
Find j, given that 177*j**2 - 165*j**2 + 15*j - j**3 + 6 + 4*j**3 = 0.
-2, -1
Let t(f) = -5*f**3 + 19*f**2 - 15*f + 5. Let u(s) = 5*s**3 - 20*s**2 + 15*s - 5. Let k(g) = 5*t(g) + 4*u(g). Let k(h) = 0. Calculate h.
1
Let a(m) be the third derivative of -m**7/42 - 3*m**2. Factor a(f).
-5*f**4
Let a(b) be the second derivative of b**7/7 + 7*b**6/15 + b**5/2 + b**4/6 + b. Factor a(p).
2*p**2*(p + 1)**2*(3*p + 1)
Let u(b) be the first derivative of -b**4/48 - b**3/4 - 9*b**2/8 + 3*b + 3. Let d(f) be the first derivative of u(f). Factor d(l).
-(l + 3)**2/4
Let y(z) be the second derivative of -z**7/21 + z**6/5 - 3*z**5/10 + z**4/6 + 2*z. Factor y(f).
-2*f**2*(f - 1)**3
Let d = 5 - 11. Let j = d - -8. Solve 4 + 2*a**3 - j*a**2 - 4 = 0.
0, 1
Let z = 9 - 6. Solve 4*x**4 - 1 + 1 - 4*x**5 - 4*x**2 + 2*x**3 + 2*x**z = 0.
-1, 0, 1
Let y(i) = i**4 + i**2 - i - 1. Let l(p) = 2*p**4 + 6*p**2 - p - 3. Let g(v) = l(v) - 3*y(v). Determine o so that g(o) = 0.
-1, 0, 2
Let s be (4 + -7)*(-2 + (-84)/(-45)). Factor 4/5 - 6/5*b + s*b**2.
2*(b - 2)*(b - 1)/5
Suppose 5*v = -6 + 16. Suppose l - 9 = -v*l. Factor -2/7 - 4/7*p + 2/7*p**4 + 0*p**2 + 4/7*p**l.
2*(p - 1)*(p + 1)**3/7
Let q(v) = -v**4 + v**3 + v - 1. Let m(r) = -6*r**3 - 4*r**2 + 26*r + 16. Let b(x) = -m(x) + 2*q(x). Factor b(o).
-2*(o - 3)**2*(o + 1)**2
Let t(b) = -b + 10. Let d be t(10). Let p(o) be the first derivative of 0*o - 2 - 4/15*o**5 - 1/9*o**6 + d*o**4 + 4/9*o**3 + 1/3*o**2. Let p(n) = 0. What is n?
-1, 0, 1
Let y(w) be the first derivative of 3*w**5/5 - 3*w**4/2 - 8*w**3 + 27*w**2 - 27*w + 59. Factor y(h).
3*(h - 3)*(h - 1)**2*(h + 3)
Let y(c) be the first derivative of -3/10*c**4 + 2/3*c**3 - 2 - 1/5*c**2 + 0*c - 2/5*c**5 + 4/15*c**6. Find x, given that y(x) = 0.
-1, 0, 1/4, 1
Suppose 57*a - 55*a = 8. Let i(h) be the second derivative of 1/27*h**a + 0*h**2 + 1/90*h**5 + 0 + 1/27*h**3 - 4*h. Find d, given that i(d) = 0.
-1, 0
Let x(p) be the second derivative of -p**4/66 + 8*p**3/33 - 12*p**2/11 - 28*p. Factor x(i).
-2*(i - 6)*(i - 2)/11
Solve -9*v - 4*v**4 + 104 - 100 + v + 8*v**3 = 0.
-1, 1
Let r(c) be the first derivative of 3*c**4/20 - 2*c**3/5 + 3*c**2/10 + 6*c - 6. Let y(o) be the first derivative of r(o). Factor y(z).
3*(z - 1)*(3*z - 1)/5
Suppose 11 = -3*t + 4*s, t - 4*s + 22 = s. Factor m**3 + 2*m**3 - m**t - m**5 + 8*m - 9*m.
-m*(m - 1)**2*(m + 1)**2
Let c(g) be the second derivative of 1/60*g**5 - 1/18*g**3 - 1/36*g**4 + 1/6*g**2 - 5*g + 0. Determine i so that c(i) = 0.
-1, 1
Let j(v) = v**3 + 5*v**2 + 4*v. Let r be j(-4). Let s(i) be the first derivative of -3/11*i**4 + r*i + 2/33*i**3 + 1 + 18/55*i**5 + 0*i**2. Factor s(a).
2*a**2*(3*a - 1)**2/11
Let w = 36/11 + -64/33. Find t, given that 0*t**2 - w + 2/3*t**3 - 2*t = 0.
-1, 2
Let f(m) = 3*m**5 - 6*m**4 + 3*m**3 + 4*m**2 - 4*m. Let y(z) = 10*z**5 - 19*z**4 + 9*z**3 + 12*z**2 - 12*z. Let b(q) = 7*f(q) - 2*y(q). Factor b(n).
n*(n - 2)**2*(n - 1)*(n + 1)
Suppose 8*j - 112 = 4*j. Let h be 60/(-9)*(-6)/j. Factor 8/7*p**3 + h*p**2 + 0 + 4/7*p + 2/7*p**4.
2*p*(p + 1)**2*(p + 2)/7
Let k(x) = -5*x**3 + 4*x**2 + 2*x. Let f be 2*(0 + (-6)/(-4)). Let l(t) = -8*t**2 + 0*t - 9*t - 9*t**2 + 21*t**f. Let v(h) = -9*k(h) - 2*l(h). Solve v(n) = 0.
0, 2/3
Let p(s) = -s**2 + 7*s + 2. Let u be p(7). Let c(l) = l**3 + l**2 + 3. Let q(a) = 2*a**3 + a**2 + 2. Let v(t) = u*c(t) - 3*q(t). Let v(y) = 0. What is y?
-1/4, 0
Let 358*l + 80*l**3 - 2500 + 1642*l - 820*l**4 - 600*l**2 + 816*l**4 = 0. Calculate l.
5
Factor 4*d**5 - 2*d**4 + 3*d**5 - 3*d**5.
2*d**4*(2*d - 1)
Let r(k) be the second derivative of k**8/560 + k**7/140 - 2*k**3/3 - 4*k. Let u(a) be the second derivative of r(a). Determine i so that u(i) = 0.
-2, 0
Let x(i) be the third derivative of 0*i**4 - i**2 + 1/210*i**7 + 0*i**3 + 0 + 0*i - 1/336*i**8 + 1/120*i**6 - 1/60*i**5. Factor x(u).
-u**2*(u - 1)**2*(u + 1)
Let n(y) = -y**3 - 4*y**2 + y + 4. Let w be n(-4). Determine x, given that 0*x + w + 1/4*x**2 - 1/4*x**3 = 0.
0, 1
Let 0 + 4 - 4 + 4*q - 16*q**2 = 0. What is q?
0, 1/4
Let r(v) = -10*v**2 - 15*v - 5. Let t(a) = -a**3 - 1. Let s(k) = -r(k) + 5*t(k). Factor s(j).
-5*j*(j - 3)*(j + 1)
Factor -2*j + 3 - 4*j + j**2 + 2*j.
(j - 3)*(j - 1)
Let f = 17 - 15. Suppose -61*w + 77*w + 15 + 17 + 2*w**f = 0. Calculate w.
-4
Let f(v) be the third derivative of 0*v - v**2 - 1/12*v**4 + 0*v**3 - 1/240*v**6 - 1/30*v**5 + 0. Let f(i) = 0. What is i?
-2, 0
Let v(o) = -o**2 + 4. Let b(q) be the second derivative of -2*q + 11/2*q**2 + 0 - 1/4*q**4 + 0*q**3. Let a(l) = 3*b(l) - 8*v(l). Suppose a(w) = 0. What is w?
-1, 1
Let g(n) = 2*n + 28. Let h be g(-13). Let u(o) be the second derivative of -1/90*o**6 + 1/36*o**4 + 1/60*o**5 + 0*o**h + 0 + 3*o - 1/18*o**3. Factor u(s).
-s*(s - 1)**2*(s + 1)/3
Let d = 174 - 171. Suppose 2/3*i**2 + 0 - 1/3*i - 1/3*i**d = 0. Calculate i.
0, 1
Suppose 10/3 + 8/3*i**2 - 14*i = 0. Calculate i.
1/4, 5
Let y = 3/2 + -5/4. Let t = 20/13 + -27/26. Factor -9/4*o**5 + 0 - y*o + 3*o**4 + t*o**3 - o**2.
-o*(o - 1)**2*(3*o + 1)**2/4
Let z(h) = h**3 + 5*h**2 + 5*h + 3. Let p be z(-3). Let l be ((-19)/(-9) - 2)*p. Factor -4/3*u**3 + l*u**2 + 2/3*u**4 + 0*u + 0.
2*u**2*(u - 1)**2/3
Let k(o) be the second derivative of 0 - 5/54*o**4 - 4/9*o**2 - 3*o - 8/27*o**3 - 1/90*o**5. Factor k(x).
-2*(x + 1)*(x + 2)**2/9
Let s(k) be the third derivative of k**7/210 - k**6/20 + 9*k**4/4 - 27*k**3/2 + 51*k**2. Factor s(u).
(u - 3)**3*(u + 3)
Let p(j) = -46*j**3 + 64*j + 24. Let c(u) be the third derivative of -u**6/120 + u**4/24 + u**3/6 - 5*u**2. Let t(a) = 8*c(a) + p(a). Solve t(h) = 0 for h.
-2/3, 4/3
Suppose 0 = 3*i - 3*f - 15, -11*f = -5*i - 12*f + 7. Factor -2*p - 4*p**i - 1/3 - p**4 - 10/3*p**3.
-(p + 1)**3*(3*p + 1)/3
Let j(a) be the second derivative of -a**7/420 - a**6/120 - 2*a**2 + 5*a. Let h(k) be the first derivative of j(k). Solve h(z) = 0.
-2, 0
Factor 1/6*h**4 + 0*h**3 - 1/2*h**2 + 1/3*h + 0.
h*(h - 1)**2*(h + 2)/6
Let y = 1/397 + 779/5955. Let y*p - 2*p**2 + 4/15 = 0. What is p?
-1/3, 2/5
Suppose 0*v - 5*v = 0. Suppose -5*r = -z - 5, 0 = r + z - 6*z - 25. Factor r*h**3 + v + 2/3*h**4 - 2/3*h**2 + 0*h.
2*h**2*(h - 1)*(h + 1)/3
Let v(o) be the second derivative of 5*o**7/42 + 2*o**6/3 + 3*o**5/2 + 5*o**4/3 + 5*o**3/6 + 4*o. Factor v(d).
5*d*(d + 1)**4
Let p(s) = 13*s**3 + s**2 - 17*s + 24. Let v(j) = 7*j**3 + j**2 - 8*j + 12. Let n(w) = 4*p(w) - 7*v(w). Factor n(f).
3*(f - 2)*(f - 1)*(f + 2)
Suppose -2*a = -a - 3. Suppose 2*z - a - 3 = 0. Factor -1/4*h**z + 1 - 2*h + 5/4*h**2.
-(h - 2)**2*(h - 1)/4
Let w = -28/25 - -137/100. Determine r, given that 1/4*r - 1/4*r**3 + 1/4 - w*r**2 = 0.
-1, 1
Let u(z) be the third derivative of -z**7/42 - z**6/4 - 3*z**5/4 + 5*z**2. Determine l, given that u(l) = 0.
-3, 0
Let z(x) = -14*x**2 + 14*x. Suppose 3*p - 4 = 2*p. Let n(v) = -5*v**2 - 2*v + 0*v + 7*v. Let o(k) = p*z(k) - 11*n(k). Determine w so t