/158 - x. Factor -w*t**4 - 1/2*t**2 + t**3 + 0*t + 0.
-t**2*(t - 1)**2/2
Let g = -88/3 - -30. Factor 2/3*s**2 - g*s**4 + 0 - 2/3*s + 2/3*s**3.
-2*s*(s - 1)**2*(s + 1)/3
Let g(r) be the first derivative of -3*r**4/4 + 2*r**3 - 3*r**2/2 - 4. Factor g(p).
-3*p*(p - 1)**2
Suppose 0 = 2*f + 263 - 267. Solve 0 + 0*x**4 + 0*x**f + 1/3*x**5 - 2/3*x**3 + 1/3*x = 0 for x.
-1, 0, 1
Let i(g) = 9*g**3 + 48*g**2 + 192*g + 256. Let h(r) = -5*r**3 - 24*r**2 - 96*r - 128. Let p(v) = 5*h(v) + 3*i(v). Factor p(a).
2*(a + 4)**3
Let b = 161/8220 + -2/685. Let m(q) be the third derivative of -b*q**4 + 0 + 0*q**3 - q**2 + 1/600*q**6 + 0*q + 1/300*q**5. Factor m(j).
j*(j - 1)*(j + 2)/5
Suppose 5*f = 3*v - 10 - 5, 5*f - 10 = -2*v. Factor 1/2*o + f + 5/4*o**4 + 7/4*o**2 + 9/4*o**3 + 1/4*o**5.
o*(o + 1)**3*(o + 2)/4
Suppose d**2 + 10*d - 30*d + 13*d + 12*d = 0. Calculate d.
-5, 0
Let i(t) be the third derivative of -t**6/60 + t**5/10 + 34*t**2. Factor i(m).
-2*m**2*(m - 3)
Let y be (-2)/(-5) - -11*17/(-7480). Find w such that 1/8*w**2 + 1/4 + y*w = 0.
-2, -1
Suppose -2*y - j + 0*j + 1 = 0, 0 = -y + 2*j + 13. Let v(w) be the second derivative of 2*w + 2*w**2 - w**y + 1/6*w**4 + 0. Determine p so that v(p) = 0.
1, 2
Suppose -3*z + 5*y = -15, -y + 12 = -3*z - 5*y. Suppose -3*f + 4 - 7 = 3*t, -t - 2 = 2*f. Factor a**4 - a**2 - 3*a**3 + t*a + a + 2*a**3 + z*a.
a*(a - 1)**2*(a + 1)
Let n = 120278 + -15997059/133. Let s = n + 23/19. Factor s*o**2 + 2/7*o**3 + 0 + 2/7*o.
2*o*(o + 1)**2/7
Suppose 3*w - f - 15 = 0, 3*f - 6*f + 3 = 3*w. Factor w*z**3 + 6*z**4 + 3 - 25*z**3 + 27*z**2 - 22*z + 7*z.
3*(z - 1)**3*(2*z - 1)
Factor 3/4*u**2 - 3/4*u**4 - 3/8*u + 0 + 0*u**3 + 3/8*u**5.
3*u*(u - 1)**3*(u + 1)/8
Factor -l**2 - 4*l**2 + 0*l**2 - 8*l**3 - 4*l**4 + l**2.
-4*l**2*(l + 1)**2
Let f(t) be the second derivative of 4/15*t**3 + t - 4/5*t**2 - 1/30*t**4 + 0. Let f(s) = 0. Calculate s.
2
Suppose 7*j = -14*j. Find z, given that 0*z - 4/3*z**4 + j + 0*z**2 + 2/3*z**3 + 2/3*z**5 = 0.
0, 1
What is b in 32*b + 2*b**3 - 30*b - 4*b**2 + 0 + 0 = 0?
0, 1
Factor 8/7*t**3 + 0*t**2 - 4/7 + 4/7*t**4 - 8/7*t.
4*(t - 1)*(t + 1)**3/7
Factor -8*k**5 - 2 - 8 - 10*k**2 + 20*k**3 + 13*k**5 + 20*k**4 - 25*k.
5*(k - 1)*(k + 1)**3*(k + 2)
Let i(s) be the third derivative of s**7/105 + s**6/60 - s**5/10 - s**4/12 + 2*s**3/3 - 6*s**2. Find k such that i(k) = 0.
-2, -1, 1
Let m(c) be the first derivative of c**5/10 - 3*c**4/8 + c**3/3 + 6. Factor m(r).
r**2*(r - 2)*(r - 1)/2
Suppose 4*s - 3 = 3*l, 0 = -3*l - 4 + 1. Factor 1/4*z**3 + s + 1/4*z**2 - 1/2*z.
z*(z - 1)*(z + 2)/4
Let m(t) be the third derivative of t**7/21 - t**6/15 - t**5/30 - 6*t**2. Solve m(w) = 0.
-1/5, 0, 1
Let p(j) be the third derivative of -j**6/420 - j**5/210 + j**4/84 + j**3/21 + 11*j**2. Factor p(a).
-2*(a - 1)*(a + 1)**2/7
Suppose -j**5 - 7*j**2 - 5*j**3 - 2*j + 0*j**3 - 4*j**3 + 3*j**4 - 8*j**4 = 0. Calculate j.
-2, -1, 0
Let g(z) = -20*z**4 - 6*z**3 - 14*z - 14. Let f(m) = -2*m**2 - 5 - m**3 - m**3 - 5*m - 7*m**4 + 2*m**2. Let a(w) = -14*f(w) + 5*g(w). What is y in a(y) = 0?
-1, 0
Let v(n) = 3 - 4 + 3*n + 0. Let q be v(1). Factor -4*c**2 + 3*c**2 + 1 + q*c + 2*c**2 + 0*c**2.
(c + 1)**2
Suppose -k - 3 = -2*k. Let y(h) be the second derivative of 0*h**2 - 1/42*h**4 - 3*h - 1/21*h**k + 0. Factor y(f).
-2*f*(f + 1)/7
Let v be (0 + (-4)/(-21))*14/3. Factor -8/3*d - 2*d**2 - v.
-2*(3*d + 2)**2/9
Find x, given that -3*x**2 - 1/2*x**3 + 2*x + 1/2*x**4 + 4 = 0.
-2, -1, 2
Let t(b) be the third derivative of 0*b**4 + 0*b**3 - 1/135*b**5 + 2*b**2 + 0 - 1/540*b**6 + 1/945*b**7 + 0*b. Factor t(z).
2*z**2*(z - 2)*(z + 1)/9
Let f = -13 - -13. Let c(d) be the third derivative of 0*d + d**2 + 0*d**3 + 1/60*d**6 + 0*d**5 - 1/12*d**4 + f. Find y such that c(y) = 0.
-1, 0, 1
Let g(l) be the third derivative of -l**8/840 + l**7/175 - l**6/100 + l**5/150 - 14*l**2. Factor g(s).
-2*s**2*(s - 1)**3/5
Suppose -2*n = 3*n. Determine x so that n*x**5 + 3*x**3 + 2*x - x**5 - 6*x + 0*x**4 + 2*x**4 - 4*x**2 = 0.
-1, 0, 2
Let r(g) be the first derivative of g**4/18 - 10*g**3/27 + 8*g**2/9 - 8*g/9 + 9. Determine m so that r(m) = 0.
1, 2
Suppose 0 = 436*f - 433*f - 6. Factor -2/5*l**f - 12/5*l - 18/5.
-2*(l + 3)**2/5
Let v be 27/(-6)*(-48)/72. Factor 2/13*h**v + 2/13*h + 4/13*h**2 + 0.
2*h*(h + 1)**2/13
Let u = -34 - -41. Suppose u*h = 3*h. Let 1/4*o**2 + 0*o + h = 0. Calculate o.
0
Suppose -3*z + 0*z = -3*q - 12, 4*z = 5*q + 16. Suppose q = 2*d - d. Factor 0*b**3 - 2/3*b**5 + 0*b**2 + 2/3*b**4 + d*b + 0.
-2*b**4*(b - 1)/3
Factor 3*p**2 + 8*p + 14 - 5 + p**2 - 5.
4*(p + 1)**2
Let d = 0 - -2. Factor -d*v**2 + 24*v**3 + v + 12*v**2 - 2 - 5*v**3 + 7*v**4 + 5*v**2.
(v + 1)**3*(7*v - 2)
Let v(p) = p**3 - 2*p**2 + 2*p - 2. Let h be v(2). Factor -2/7*m - 4/7 + 2/7*m**h.
2*(m - 2)*(m + 1)/7
Factor 3/5*b**4 - 3*b + 3/5*b**3 - 6/5 - 9/5*b**2.
3*(b - 2)*(b + 1)**3/5
Let h be (2/(-2))/(1/(-2)). Suppose -3*n + 4 = -5*z, z = -4*n - n + 16. Factor -11 - b + 3 + h*b**4 - 7*b + 6*b**2 + 8*b**n.
2*(b - 1)*(b + 1)*(b + 2)**2
Suppose 0*m - 2 = -m, 2*p - 3*m + 2 = 0. Let n be ((-9)/6)/((-1)/p). Factor 2*y + n*y - 2*y - y + 2*y**2.
2*y*(y + 1)
Let q(i) be the third derivative of i**7/1155 - i**6/165 + i**5/55 - i**4/33 + i**3/33 - 24*i**2. Factor q(m).
2*(m - 1)**4/11
Let m be (-20)/(-15) + (-4)/(-6). Suppose 0*r = 4*r + 4*u - 16, 4*r + u - 16 = 0. What is f in f**m - r - 1 + 4 = 0?
-1, 1
Let p be 12/9 + (-5)/(-3). Let t(y) be the second derivative of y + 0*y**4 + 0 - 1/90*y**5 + 2/9*y**2 + 1/9*y**p. Factor t(a).
-2*(a - 2)*(a + 1)**2/9
Solve 2/13*o**4 + 20/13*o**3 + 0*o + 0 - 22/13*o**2 = 0.
-11, 0, 1
Let n(i) be the first derivative of -i**7/168 - i**6/120 - 3*i - 2. Let x(y) be the first derivative of n(y). Factor x(j).
-j**4*(j + 1)/4
Let p(s) be the first derivative of -s**8/1176 + s**6/420 + s**2/2 + 2. Let d(l) be the second derivative of p(l). Factor d(w).
-2*w**3*(w - 1)*(w + 1)/7
Factor 12/5*b + 3/5*b**2 + 9/5.
3*(b + 1)*(b + 3)/5
Let l(a) be the third derivative of 7*a**2 - 1/360*a**6 - 1/180*a**5 + 0*a + 1/72*a**4 + 0 + 1/18*a**3. Factor l(r).
-(r - 1)*(r + 1)**2/3
Let m(x) = -x**2 + x + 1. Let l(u) = 2*u**2 - 2*u - 2. Let s(w) = -2*l(w) - 3*m(w). Let k(n) = 2*n**3 + 2*n**2 - 7*n - 5. Let p(h) = k(h) + 5*s(h). Factor p(b).
b*(b - 2)*(2*b + 1)
Let i(s) be the first derivative of -s**4/48 - s**3/24 - 3*s - 3. Let g(f) be the first derivative of i(f). Factor g(z).
-z*(z + 1)/4
Let y be 23/16*22/33. Let a = 3/8 + y. Let 12*d**4 - 6*d**5 - 8*d**2 + 2*d + a - 4/3*d**3 = 0. What is d?
-2/3, -1/3, 1
Let p = 4 - 4. Factor -4*i - i**2 + p*i**2 - i**2.
-2*i*(i + 2)
Let j(l) = -l**2 + l - 1. Let g(c) = 5*c**2 - 3*c + 4. Let r(a) = -g(a) - 6*j(a). Find o such that r(o) = 0.
1, 2
Let g(j) be the third derivative of -j**5/270 - j**4/108 + 2*j**3/27 - j**2. Find u such that g(u) = 0.
-2, 1
Suppose 0 = 2*g + 3*g - 25, 0 = 4*o + 3*g + 17. Let v(n) = 2*n**2 + 3*n - 2. Let f(i) = -6*i**2 - 8*i + 6. Let z(u) = o*v(u) - 3*f(u). Factor z(a).
2*(a - 1)*(a + 1)
Let o = -9/16 - -13/16. Let q(r) = r**3 + 13*r**2 + 5. Let h be q(-13). Find x such that 0*x**4 + 1/4*x**h + 0 + 0*x**2 + o*x - 1/2*x**3 = 0.
-1, 0, 1
Let n(d) = 27*d**3 + d. Let f be n(1). Let w be (-16)/f + 29/14. Determine o so that -w*o**5 - 2 + 5/2*o**4 - 21/2*o**2 + 7/2*o**3 + 8*o = 0.
-2, 2/3, 1
Let p = 6 + -4. Let m(g) be the third derivative of 0*g**3 + g**p + 0 + 1/270*g**5 - 1/108*g**4 + 0*g. Factor m(s).
2*s*(s - 1)/9
Let x(r) = 2*r**2 + 4*r + 4. Let d be x(-3). Let f be ((-1)/5)/((-4)/d). Factor f - g + 1/2*g**2.
(g - 1)**2/2
Let w(d) be the third derivative of -d**6/480 - 7*d**5/240 - d**4/24 + d**3/2 - 24*d**2. Factor w(s).
-(s - 1)*(s + 2)*(s + 6)/4
Let u(r) be the second derivative of -r**6/150 - r**5/50 - r**4/60 + 4*r. Solve u(x) = 0 for x.
-1, 0
Determine j, given that -3 - 2 + 20*j + 14 + 8*j**2 - 1 = 0.
-2, -1/2
Let t(l) be the second derivative of 0*l**4 + 0 - 2*l + 1/60*l**5 - 1/6*l**3 - 1/3*l**2. Let t(u) = 0. Calculate u.
-1, 2
Suppose -2*d + 3 = -7. Suppose -8 = -4*c, 3*g - d*c + c - 10 = 0. Factor g*o + 0*o + 2*o**2 - 3 + 4 + 3.
2*(o + 1)*(o + 2)
Let g(b) be the first derivative of -5*b**4/4 + 5*b**3 - 5*b**2 - 20. Factor g(n).
-5*n*(n - 2)*(n - 1)
Let j(v) = -v**2 + 2*v - 3. Let u(s) = -3*s**2 + 6*s - 8. Let y(x) =