0.
0, 1, 2
Factor 1/4*j - 1/4*j**3 + 0*j**2 + 0.
-j*(j - 1)*(j + 1)/4
Let k(f) = 110*f**4 - 65*f**3 - 550*f**2 - 285*f. Let u(q) = 5*q**4 - 3*q**3 - 25*q**2 - 13*q. Let g(t) = 2*k(t) - 45*u(t). Factor g(m).
-5*m*(m - 3)*(m + 1)**2
Let f(s) be the first derivative of s**5/50 + s**4/30 - s**3/15 - s**2/5 - s - 3. Let r(j) be the first derivative of f(j). Factor r(t).
2*(t - 1)*(t + 1)**2/5
Let s be 7*(-2 + (-48)/(-21)). Find m, given that -6*m**4 + s + 14*m - 12*m**2 - 14*m**3 - 14*m - 2*m**3 = 0.
-1, 1/3
Let z(y) be the first derivative of -2*y**3 - 2*y**2 - 1 - 1/2*y**4 + 0*y. Factor z(c).
-2*c*(c + 1)*(c + 2)
Let w = 3 + 1. Let l(r) be the first derivative of -2*r**3/3 - r**2/2 + 4*r + 1. Let s(p) = -3*p**2 - 2*p + 5. Let d(c) = w*l(c) - 3*s(c). Factor d(k).
(k + 1)**2
Let a(f) be the first derivative of f**4/20 + 2*f**3/15 - 2*f**2/5 - 8*f/5 + 40. Factor a(o).
(o - 2)*(o + 2)**2/5
Let c(m) be the second derivative of 3/4*m**4 - 3/20*m**5 - m**3 + 5*m + 0*m**2 + 0. Determine i so that c(i) = 0.
0, 1, 2
Let f(u) = -u**2 - 7*u + 2. Let v be f(-7). Suppose 0 = -v*r - 15 + 37. Factor r*l**4 - 11*l**4 + 2*l**5.
2*l**5
Let l = 17 - 13. Factor 0*k**2 + 12*k**l - 14*k**4 + 4*k**2 - 2*k**2.
-2*k**2*(k - 1)*(k + 1)
Solve -50/7*k**3 - 20/7*k**5 + 4/7 + 2*k - 2/7*k**2 - 58/7*k**4 = 0.
-1, -2/5, 1/2
Determine t so that -4/5*t**3 + 4/5*t + 4/5 - 4/5*t**2 = 0.
-1, 1
Let d(h) = -65*h**3 - 220*h**2 - 260*h - 40. Let p(a) = 5*a**3 + 17*a**2 + 20*a + 3. Let c(i) = 3*d(i) + 40*p(i). Factor c(k).
5*k*(k + 2)**2
Let d(n) be the first derivative of 4*n**3/21 + 12*n**2/7 + 36*n/7 - 21. Determine u so that d(u) = 0.
-3
Suppose 0 = 5*s - 10, 5*z - 2*z - 2*s + 1 = 0. Let q = 5 + z. Determine m, given that 18*m**2 - q*m + 2*m + 0*m - 14*m**3 = 0.
0, 2/7, 1
Let f(t) = 3*t - 19. Let g be f(8). Suppose -8/9*n - 74/9*n**3 + 0 - 20/3*n**4 - 2*n**g - 40/9*n**2 = 0. Calculate n.
-1, -2/3, 0
Let f(x) be the first derivative of -8*x**5/5 - 7*x**4/2 + 4*x**3 + 7*x**2 - 4*x + 26. Find m, given that f(m) = 0.
-2, -1, 1/4, 1
Let j(f) = -3*f**4 + f + 9*f**2 - f + 6*f**5. Let c be 2/(-4*1/6). Let m(r) = 13*r**5 - 5*r**4 + 19*r**2 + r. Let v(n) = c*m(n) + 7*j(n). Factor v(a).
3*a*(a - 1)**3*(a + 1)
Suppose 61*i - 8 = 57*i. Factor -6/5*h**i + 8/5 + 4/5*h - 1/5*h**4 - h**3.
-(h - 1)*(h + 2)**3/5
Suppose 2 = 2*b, -3*l - 4 = -0*b - 4*b. Solve -1 + c**2 - 5 + 2 + l*c**2 = 0 for c.
-2, 2
Let o(i) be the third derivative of 2*i**7/105 + i**6/15 + 6*i**2 - 2*i. Let o(l) = 0. What is l?
-2, 0
Let j(k) be the first derivative of -k**5/120 - k**4/24 + k**2/2 - 4. Let q(p) be the second derivative of j(p). Factor q(b).
-b*(b + 2)/2
Let k(f) = f**3 - f - 1. Let r(m) = 3*m**4 - 3*m**2 + 3. Let d(y) = 3*k(y) + r(y). Factor d(h).
3*h*(h - 1)*(h + 1)**2
Let q(n) be the second derivative of -3*n + 1/15*n**3 - 2/5*n**2 + 0 + 1/30*n**4. Factor q(j).
2*(j - 1)*(j + 2)/5
Let l(z) = 4*z**4 + 4*z**3 + 4*z + 4. Let x(a) = a + 1. Suppose -5*n + g = -0*g - 19, n - g - 3 = 0. Let y(v) = n*x(v) - l(v). Determine t, given that y(t) = 0.
-1, 0
Let z(i) be the third derivative of 0 + i**2 - 1/3*i**3 + 0*i - 1/2*i**5 + 2/3*i**4. Factor z(q).
-2*(3*q - 1)*(5*q - 1)
Let l(p) be the first derivative of -9*p**4/4 + 7*p**2/2 - 2*p - 6. Factor l(i).
-(i + 1)*(3*i - 2)*(3*i - 1)
What is v in 0 - 15/2*v - 5/2*v**2 = 0?
-3, 0
Factor -3*f**3 - 3/2*f**5 + 1/2*f + 4*f**4 + 0*f**2 + 0.
-f*(f - 1)**3*(3*f + 1)/2
Suppose -1 = -x + 1. Find g, given that -x*g**2 - 12*g**4 - 8 - 70*g**2 - 39*g + 2 - 51*g**3 = 0.
-2, -1, -1/4
Let s(l) = -4*l**2 - 13*l. Suppose 0 + 3 = -3*x - 3*m, 5*m = 20. Let y be x/3*(1 - 4). Let j(h) = -2*h**2 - 6*h. Let d(p) = y*j(p) - 2*s(p). Factor d(a).
-2*a*(a + 2)
Let b(f) be the second derivative of 5/24*f**3 + 1/80*f**5 + 0 - 1/4*f**2 - 1/12*f**4 + f. Determine q so that b(q) = 0.
1, 2
Let v(j) be the third derivative of -1/240*j**6 + 9*j**2 - 1/24*j**4 + 0*j**3 + 0*j - 1/40*j**5 + 0. Factor v(c).
-c*(c + 1)*(c + 2)/2
Factor 3*g**4 + 15 - 3*g - 9*g**2 + 22 + 3*g**3 - 31.
3*(g - 1)**2*(g + 1)*(g + 2)
Let v(d) be the first derivative of 13/2*d**4 - 8/3*d**3 + 0*d - 16*d**6 + 16*d**5 - 8 - d**2. Suppose v(b) = 0. What is b?
-1/4, 0, 1/3, 1
Let l be (0*(-5)/45*3)/(-2). Find y, given that 1/6*y**2 - 1/6 + l*y = 0.
-1, 1
Suppose 0 - 4/5*s**2 + 2/5*s**3 - 6/5*s = 0. What is s?
-1, 0, 3
Let b be (20/(-8) + 2)/(5/(-40)). What is h in 0*h - 9/4*h**b + 9/4*h**3 - 3/4*h**2 + 3/4*h**5 + 0 = 0?
0, 1
Let p = -16 + 18. Suppose -3*o + o**4 + 4*o**3 + 2 - p*o**3 - 3 + o = 0. What is o?
-1, 1
Factor 0 - 2/5*y + 2/5*y**2.
2*y*(y - 1)/5
Let -5/2*m + 5/4*m**2 + 5/2*m**3 + 0 - 5/4*m**4 = 0. Calculate m.
-1, 0, 1, 2
Let w(c) be the third derivative of -c**7/5040 + c**5/240 + 5*c**4/24 + c**2. Let u(i) be the second derivative of w(i). Factor u(f).
-(f - 1)*(f + 1)/2
Let x = -1 - -1. Suppose x = 5*v - 1 - 14. Factor -g**4 + 3*g**4 - 3*g**v + g**2 - g**5 + g**4.
-g**2*(g - 1)**3
Let i(h) be the first derivative of -h**4/16 + h**3/12 + h**2/4 + 12. Factor i(c).
-c*(c - 2)*(c + 1)/4
Let p be (2 - (4 - 4))*3/2. Factor -54/7*l - 18/7*l**2 - 54/7 - 2/7*l**p.
-2*(l + 3)**3/7
Let q(t) be the first derivative of -2*t + 1/2*t**3 - 4 - t**2. Factor q(o).
(o - 2)*(3*o + 2)/2
Let o(h) be the second derivative of 5*h**4/12 + 5*h**3/6 - 5*h**2 - 21*h. Determine m so that o(m) = 0.
-2, 1
Let 4/5 + 2/5*h - 2/5*h**2 = 0. What is h?
-1, 2
Let i(j) be the second derivative of j**7/4200 + 2*j**3/3 + 5*j. Let u(d) be the second derivative of i(d). What is m in u(m) = 0?
0
Let i be (-16)/6*45/(-66). Let b = i - 52/77. Let -b*a + 8/7 + 2/7*a**2 = 0. What is a?
2
Suppose 3*w = -0*w + f + 6, -10 = -5*w + 4*f. Factor 0*c**w + 0*c**4 + 1/5*c**3 + 0*c - 1/5*c**5 + 0.
-c**3*(c - 1)*(c + 1)/5
Let j(y) be the first derivative of -1/42*y**4 + 1/7*y**2 + 3*y + 3 - 1/70*y**5 + 1/21*y**3. Let u(s) be the first derivative of j(s). Factor u(g).
-2*(g - 1)*(g + 1)**2/7
Let i be ((-1 - -1) + 1)*(-66)/(-77). Let 0 + 0*o - 2/7*o**2 - 6/7*o**4 - i*o**3 - 2/7*o**5 = 0. Calculate o.
-1, 0
Suppose -6*y = -10*y. Let j(l) be the second derivative of 0*l**2 + 1/6*l**4 + 2*l + y*l**3 + 0 - 1/30*l**6 + 1/20*l**5. Factor j(q).
-q**2*(q - 2)*(q + 1)
Let w(b) be the second derivative of -3*b**5/16 - b**4/8 + 3*b**3/8 + 9*b. Suppose w(k) = 0. Calculate k.
-1, 0, 3/5
Let r(m) = 10*m**3 - 22*m**2 + 26*m - 2. Let p(w) = 21*w**3 - 45*w**2 + 53*w - 3. Let y(f) = -6*p(f) + 13*r(f). Factor y(j).
4*(j - 2)*(j - 1)**2
Let f(a) be the second derivative of -1/21*a**3 + 1/140*a**5 + 0*a**2 + 1/84*a**4 + 0 + 5*a. Factor f(z).
z*(z - 1)*(z + 2)/7
Factor -20*v + 16*v**2 + 4682*v**3 + 0 - 4686*v**3 + 8.
-4*(v - 2)*(v - 1)**2
Let 3*y**5 - 181*y**3 - 18 + 374*y**2 - 36*y**5 - 179*y**3 - 39*y - 116*y**2 + 192*y**4 = 0. Calculate y.
-2/11, 1, 3
Let d(o) be the third derivative of o**8/20160 - o**7/1512 + o**6/270 - o**5/90 - o**4/12 - o**2. Let u(q) be the second derivative of d(q). Factor u(j).
(j - 2)**2*(j - 1)/3
Let -38/15*b**2 + 2/5*b**4 - 34/15*b**3 + 8/15 + 2/3*b**5 + 0*b = 0. Calculate b.
-1, 2/5, 2
Let j(h) = -h**2 + 10*h - 8. Let p be j(6). Let u = -13 + p. Factor 0*r - 2/7*r**5 + 4/7*r**4 - 2/7*r**u + 0 + 0*r**2.
-2*r**3*(r - 1)**2/7
Let q(p) be the first derivative of -4 + 0*p - 1/25*p**5 + 0*p**3 + 0*p**4 + 1/30*p**6 + 0*p**2. Suppose q(k) = 0. Calculate k.
0, 1
Let a(w) be the first derivative of w**8/1680 + w**7/420 - w**3/3 + 3. Let y(j) be the third derivative of a(j). Suppose y(t) = 0. What is t?
-2, 0
Solve 16/19*l - 14/19*l**3 + 8/19 - 10/19*l**4 + 2/19*l**2 - 2/19*l**5 = 0 for l.
-2, -1, 1
Let u(h) be the second derivative of h**9/45360 - h**8/6720 + h**7/2520 - h**6/2160 + h**4/2 - 2*h. Let b(y) be the third derivative of u(y). Factor b(g).
g*(g - 1)**3/3
Let i(c) be the first derivative of c**4 - 4*c**3/3 - 10*c**2 - 12*c + 27. Factor i(z).
4*(z - 3)*(z + 1)**2
Factor -2/7*p + 2/7*p**3 - 2/7 + 2/7*p**2.
2*(p - 1)*(p + 1)**2/7
Let y be (-1)/2*(-21)/189. Let p(f) be the third derivative of y*f**3 + 2*f**2 - 1/180*f**6 + 0*f**5 + 0*f + 1/36*f**4 + 0 - 1/630*f**7. Factor p(b).
-(b - 1)*(b + 1)**3/3
Let d(v) be the first derivative of -3 - 2*v + 2/9*v**3 - 5/12*v**4 - 3/10*v**5 + 2/3*v**2. Let n(y) be the first derivative of d(y). What is k in n(k) = 0?
-2/3, 1/2
Solve 1/2*k**2 - 1/2*