*h**4/3 - 2*h**3/3 - 2*h**2 + 6*h. Factor t(m).
-4*(m - 1)**2*(m + 1)**3
Suppose -1/4*r**4 + 1/2*r**3 - 1/4*r**2 + 0 + 0*r = 0. Calculate r.
0, 1
Let z(q) be the third derivative of -q**6/132 - 2*q**5/55 - q**4/33 + 4*q**2. Factor z(m).
-2*m*(m + 2)*(5*m + 2)/11
Let d = 74 - 128. Let x = 271/5 + d. Solve -9/5*z**4 - x*z**2 + 0 + 6/5*z**3 + 0*z = 0 for z.
0, 1/3
Let y(h) = -4*h**2 + 12*h + 6. Let x(g) be the first derivative of -7*g**3/3 + 23*g**2/2 + 11*g - 5. Let j(p) = -6*x(p) + 11*y(p). Solve j(t) = 0 for t.
-3, 0
Factor -2/5*a**4 + 0 + 2/5*a**2 + 1/5*a**5 - 1/5*a + 0*a**3.
a*(a - 1)**3*(a + 1)/5
Let b(a) be the third derivative of a**8/1680 - a**7/1050 - a**6/200 + a**5/60 - a**4/60 - 6*a**2. Factor b(n).
n*(n - 1)**3*(n + 2)/5
Let z = 5 - 3. Suppose 8*c + 5*q + 25 = 5*c, c - 10 = 2*q. Find l, given that c*l**z - l**2 - l + 2*l**2 = 0.
0, 1
Suppose -5*a + j + 91 = 0, 5 = -2*j + 3. Let t(k) = -k + 3. Let c be t(0). What is u in -18 - u**c + a = 0?
0
Let d(w) be the third derivative of w**6/600 + w**5/200 - w**4/20 + w**3/6 - 3*w**2. Let n(b) be the first derivative of d(b). Factor n(k).
3*(k - 1)*(k + 2)/5
Suppose -k - 18 = -4*n + 7, 2*n = 2*k + 26. Let r be 3*(1 - (-3)/k). Determine o so that 2/3*o**r + 1/3*o**3 + 0 + 1/3*o = 0.
-1, 0
Let q = -3/58 + 131/290. Factor q*b - 4/5*b**3 + 0 + 2/5*b**5 + 0*b**4 + 0*b**2.
2*b*(b - 1)**2*(b + 1)**2/5
Let l(n) = -10*n**2 - 16*n - 10. Let c(d) = -d**3 + 10*d**2 + 16*d + 11. Let v(f) = -4*c(f) - 6*l(f). Factor v(y).
4*(y + 1)*(y + 2)**2
Let w(i) be the second derivative of 2/9*i**4 + 0*i**2 + 1/63*i**7 - 8*i + 0 + 4/45*i**6 + 1/5*i**5 + 1/9*i**3. Solve w(v) = 0 for v.
-1, 0
Let w(t) = 15*t**3 + 36*t**2 + 39*t + 6. Let i(k) = k. Let z(c) = 2*c. Let l(o) = -i(o) + z(o). Let j(s) = -12*l(s) + w(s). Factor j(x).
3*(x + 1)**2*(5*x + 2)
Find q such that 4*q + 9*q + 8*q**2 + 23*q + 20*q**3 - 12*q**4 + 8 - 8*q**5 + 44*q**2 = 0.
-1, -1/2, 2
Let c(l) = 12*l**5 + 132*l**4 - 32*l**3 - 208*l**2 + 32*l. Let f(w) = w**5 + 12*w**4 - 3*w**3 - 19*w**2 + 3*w. Let y(b) = 3*c(b) - 32*f(b). Factor y(z).
4*z**2*(z - 1)*(z + 2)**2
Let c(q) be the third derivative of -q**9/151200 - q**8/50400 + q**5/20 + 5*q**2. Let d(l) be the third derivative of c(l). Factor d(o).
-2*o**2*(o + 1)/5
Let l(u) = 4*u**3 + 5*u**2 + u. Let x(f) = f. Let y(i) = 7*i**3 + 9*i**2 + i. Let b(s) = x(s) + y(s). Let v(a) = 3*b(a) - 5*l(a). Suppose v(z) = 0. What is z?
-1, 0
Let i(z) be the first derivative of z**4/18 + 20*z**3/27 + 4*z**2/3 - 16*z + 38. Determine j so that i(j) = 0.
-6, 2
Let z be (4/(-180))/(9/(-15)). Let j(t) be the second derivative of 2*t + 1/45*t**5 + 1/135*t**6 - 1/189*t**7 - 1/27*t**3 + 1/9*t**2 + 0 - z*t**4. Factor j(n).
-2*(n - 1)**3*(n + 1)**2/9
Let z(s) = -4*s**4 + 3*s**3 + 5*s**2 + 2*s + 4. Let k(a) = -5*a**4 + 2*a**2 - 3*a + 5 + a + 4*a**2 + 4*a**3 + 4*a. Let d(y) = -5*k(y) + 6*z(y). Factor d(r).
(r - 1)**3*(r + 1)
Let 3*v**3 - 17*v - 17*v - 3*v**4 + 3*v**2 + 31*v = 0. Calculate v.
-1, 0, 1
Factor 0*w**2 + 0 + 1/5*w**3 + 0*w.
w**3/5
Factor -3/7*h**2 - 15/7*h + 0.
-3*h*(h + 5)/7
Let p = 1697/22 - 151/2. Solve 4/11 + 8/11*b**2 - p*b = 0.
1/4, 2
Suppose -o + 8 = 3*o. Let h(w) be the second derivative of 7/36*w**4 + 0*w**2 + 0 + 1/9*w**3 + o*w. Factor h(z).
z*(7*z + 2)/3
Factor -59*r**3 - 20 - 46*r**3 - 5*r**2 + 90*r**3 + 40*r.
-5*(r - 1)*(r + 2)*(3*r - 2)
Let -7*l + 5 - 6*l - 14 + l - 3*l**2 = 0. What is l?
-3, -1
Let g(y) be the first derivative of -y**4 + 8. Suppose g(n) = 0. What is n?
0
Let b be 7 + (-56)/12 + 6/9. Let j(r) be the first derivative of -1/6*r**2 - 1/18*r**b - 1/6*r + 1. What is w in j(w) = 0?
-1
Let g(f) be the third derivative of -f**5/270 - 7*f**4/108 - 2*f**3/9 + 3*f**2 - 7. Let g(p) = 0. Calculate p.
-6, -1
Let u(y) be the third derivative of -y**6/1260 - y**5/105 - y**4/21 - 5*y**3/6 + 4*y**2. Let x(t) be the first derivative of u(t). Factor x(g).
-2*(g + 2)**2/7
Let l(p) be the second derivative of 0 + 3*p + 1/240*p**5 + 0*p**4 - 1/24*p**3 + 1/2*p**2. Let y(o) be the first derivative of l(o). Factor y(d).
(d - 1)*(d + 1)/4
Factor -7*r**4 - 11*r**4 + 4*r**3 - 8*r**2 + 22*r**4.
4*r**2*(r - 1)*(r + 2)
Let u(v) be the third derivative of -v**8/840 + v**7/525 + v**6/60 - v**5/30 - v**4/15 + 4*v**3/15 - 52*v**2. Solve u(b) = 0.
-2, -1, 1, 2
Let l(f) be the third derivative of -1/72*f**6 + 5*f**2 + 5/72*f**4 + 0*f + 1/9*f**3 + 0 - 1/90*f**5. Determine t so that l(t) = 0.
-1, -2/5, 1
Let r(x) be the second derivative of -x**6/480 + x**4/32 + x**3/12 + 7*x**2/2 - 6*x. Let l(c) be the first derivative of r(c). What is i in l(i) = 0?
-1, 2
Let m be (-6 - -5)/(2/(-4)). Suppose -2/7*x**m - 2/7*x + 2/7*x**3 + 2/7 = 0. What is x?
-1, 1
Let y(l) = -25*l + l**3 - l**2 - 1 + 25*l. Let f(p) = -2747*p**3 + 530*p**2 + 2401*p**4 - 224*p + 649*p**2 + 0 + 19. Let a(c) = -f(c) - 3*y(c). Factor a(z).
-(7*z - 2)**4
Let o(q) = q**3 - 22*q**2 + q - 22. Let g be o(22). Factor 4/11*z - 18/11*z**3 - 10/11*z**5 + 2/11*z**2 - 26/11*z**4 + g.
-2*z*(z + 1)**3*(5*z - 2)/11
Let d = 7 - 5. Suppose -f + d*f = 4. Factor -m**5 + 2*m**5 - 2*m**4 + m**f.
m**4*(m - 1)
Let i(f) be the second derivative of f**7/28 - 3*f**6/20 + 9*f**5/40 - f**4/8 - 5*f. Find v such that i(v) = 0.
0, 1
Let w(p) be the third derivative of p**8/672 - p**7/105 + p**6/40 - p**5/30 + p**4/48 + 4*p**2. What is l in w(l) = 0?
0, 1
Let a(u) be the second derivative of -3/2*u**2 - 1/4*u**4 + 0 - u**3 + 3*u. Factor a(i).
-3*(i + 1)**2
Let m(n) be the second derivative of -n**4/78 - 2*n**3/39 + 20*n. Suppose m(j) = 0. What is j?
-2, 0
Let k(i) be the second derivative of -i**7/210 - i**6/360 + 4*i**2 + 8*i. Let d(w) be the first derivative of k(w). What is v in d(v) = 0?
-1/3, 0
Let o(n) = n**2 - 2*n - 153. Let f be o(0). Let m = f - -615/4. Find t, given that 1/4*t**5 - 1/2*t**2 - 1/4 + m*t**4 - 3/4*t + 1/2*t**3 = 0.
-1, 1
Let f(z) be the second derivative of -z**4/18 + 2*z**3/9 + 8*z**2/3 - 20*z. Factor f(u).
-2*(u - 4)*(u + 2)/3
Suppose -35 = -5*x - 0. Suppose 2*q + 10 = x*q. Suppose -2 + 2*i**3 + 0*i**3 - 4*i**3 + q*i + 2*i**2 + 0*i**2 = 0. What is i?
-1, 1
Suppose 4*t - 3*c + 2 = 21, -13 = 2*t + 3*c. Suppose 0 = l - t, 4*l + 3 = 5*m - 3. Factor 1 - f + 1/4*f**m.
(f - 2)**2/4
Let 1/4*i**2 + 1/4 + 1/2*i = 0. What is i?
-1
Let q = 1/123 + 467/3075. Let f = 38/75 + q. Factor 2/3*k**3 + 0*k + 0 + 0*k**2 + f*k**4.
2*k**3*(k + 1)/3
Suppose -21 = -3*r + 5*x + 99, -3*x = 3*r - 144. Let w be (-20)/r*(-3)/2. Find b, given that 0 + 2/3*b**2 - w*b = 0.
0, 1
Let u(q) = 70*q**4 - 25*q**3 - 77*q**2 + 25*q - 3. Let x(j) = 69*j**4 - 24*j**3 - 78*j**2 + 24*j - 3. Let f(g) = 6*u(g) - 5*x(g). Factor f(s).
3*(s - 1)*(s + 1)*(5*s - 1)**2
Let m be 40/12 - (-2)/(-6). Suppose -3*s + 2*i = 1 - 17, -m*s + 4 = 4*i. Factor -n**4 + 0*n**4 + n**2 - n**3 - s*n**5 + 5*n**5.
n**2*(n - 1)**2*(n + 1)
Let u = -5174 + 36301/7. Let a = u - 733/63. Factor a*x**4 + 0 + 0*x**2 + 0*x + 2/9*x**3.
2*x**3*(x + 1)/9
Suppose 4*o = -2*i - 8, 0 = -4*o + 2 + 6. Let m be 21/2*i/(-12). Factor m*n - 4 - 1 + n + 1 - 3*n**2.
-(n - 2)*(3*n - 2)
Let a(q) = q**3 - 4*q**2 - 3*q - 6. Let c be a(5). Let u = c - 1. Solve 1/3*w**u - 1/3*w - 1/3 - 2/3*w**4 + w**2 = 0 for w.
-1, -1/2, 1
Let s(a) = -2*a**4 - 5*a**3 - 3*a**2 + 7*a + 7. Let o(v) = -v**3 - v**2 + v + 1. Let j(l) = -14*o(l) + 2*s(l). Let j(z) = 0. Calculate z.
-1, 0, 2
Suppose -4*i**2 + 3*i**2 - i**2 = 0. Calculate i.
0
Factor -3/2*y**3 - 1/2*y**4 + 0*y**2 + 0 + 2*y.
-y*(y - 1)*(y + 2)**2/2
Suppose 4*b = -2*p - 2, 5*b - 2*b + 14 = -4*p. Let j = 20 + -58/3. Factor -2/3 + 8/3*y - j*y**4 + 8/3*y**3 - 4*y**b.
-2*(y - 1)**4/3
Let d(x) = 3*x**4 + 17*x**3 + 7*x**2 + 5*x. Let z(m) = -3*m**4 - 16*m**3 - 8*m**2 - 4*m. Let n(i) = -4*d(i) - 5*z(i). What is v in n(v) = 0?
-2, 0
Let x(u) be the second derivative of -u**4/48 + u**3/8 - u**2/4 + 18*u. Let x(a) = 0. Calculate a.
1, 2
Let d(l) = -l - 12. Let k be d(-18). Let s be (1/4)/(2/k). Factor -s + 3/4*b**3 - 9/4*b**2 + 9/4*b.
3*(b - 1)**3/4
Let h(o) be the second derivative of o**5/80 + o**4/24 + o**3/24 - 7*o. Factor h(g).
g*(g + 1)**2/4
Let h(n) be the second derivative of n**7/14 + 3*n**6/10 + 9*n**5/20 + n**4/4 + 8*n. Determine s so that h(s) = 0.
-1, 0
Suppose 0 = 5*p - 5*k - 15, -2*p - k + 5 = -4*k. Suppose 5/2*m**3 + 3/2*m**5