- z**4/2 - z**3 - 2*z**2/3 - 26. Factor k(v).
-v*(v + 1)**2*(v + 4)/3
Let c(t) be the first derivative of -t**6/9 + 4*t**5/15 + t**4/3 - 8*t**3/9 - t**2/3 + 4*t/3 + 19. Determine b so that c(b) = 0.
-1, 1, 2
Let m be (-1 - -4) + (0 - -1). Suppose -2*d = -4*z + d + 5, 2*z = -4*d + 8. Factor -2*b**z - 6*b + 0*b + m*b.
-2*b*(b + 1)
Factor -5*t**4 + 15*t**2 - 10*t**3 + 90 - 17*t + 57*t - 70.
-5*(t - 2)*(t + 1)**2*(t + 2)
Let n = 13673 - 123241/9. Let r = n + 24. Factor -14/9*k**2 + r*k - 8/9.
-2*(k - 2)*(7*k - 2)/9
Let u(n) be the first derivative of 0*n**2 - 1/12*n**3 - 2 - 1/16*n**4 + 0*n. Let u(t) = 0. Calculate t.
-1, 0
Let t(g) = 6*g**3 - 9*g**2 + 12*g - 6. Let a(v) = -7*v**3 + 9*v**2 - 13*v + 7. Let k(i) = -3*a(i) - 4*t(i). Factor k(r).
-3*(r - 1)**3
Suppose 2*x = -0 + 6. Suppose s**2 - 2*s**2 - 2 + x*s**2 = 0. What is s?
-1, 1
Let s(n) be the second derivative of 5*n**7/1764 + n**6/126 + n**5/105 + n**4/6 + 5*n. Let w(b) be the third derivative of s(b). Factor w(u).
2*(5*u + 2)**2/7
Let c be ((-2)/5)/((-57)/95). What is i in -2/3*i + 0 - c*i**3 + 4/3*i**2 = 0?
0, 1
Let j(c) be the second derivative of 2*c**7/231 + 3*c**6/55 + 6*c**5/55 + 2*c**4/33 + 2*c. Factor j(v).
2*v**2*(v + 2)**2*(2*v + 1)/11
Let p(v) be the first derivative of v**3/3 - 7*v**2/2 - 3*v + 2. Let r be p(8). Factor -2*o**5 - 3*o**r + 4*o**2 + 3*o**5 - 4 - 6*o + 8*o**3.
-2*(o - 2)*(o - 1)*(o + 1)**3
Factor 2*z**3 + 0 + 1/6*z - 7/6*z**2.
z*(3*z - 1)*(4*z - 1)/6
Let w(g) = -8*g**4 - 3*g**3 - 5. Let c(i) = i**4 + 1. Let r(x) = -5*c(x) - w(x). Factor r(u).
3*u**3*(u + 1)
Let g = 157/20 - 25/4. Factor 8/5*l - 2/5*l**5 - g*l**4 - 2/5*l**3 + 4*l**2 - 16/5.
-2*(l - 1)**2*(l + 2)**3/5
Let f be (-4)/(-24)*4*3. Factor 6 + v**2 - 2 - f*v - 4.
v*(v - 2)
Let g = -36 - -184/5. Let x be (-1)/2*-8 - 4. Factor -g*r**4 + 2/5*r + x - 2/5*r**5 + 0*r**3 + 4/5*r**2.
-2*r*(r - 1)*(r + 1)**3/5
Let d be 3/(-2)*20/(-15). Suppose -4*y + d*y = -4. Determine o so that 3/2*o**y + 1 - 5/2*o = 0.
2/3, 1
Let m(y) = -10*y**3 + 10*y**2 + 3*y - 3. Let g(q) = -3*q**3 + 3*q**2 + q - 1. Let h(j) = 14*g(j) - 4*m(j). Determine u so that h(u) = 0.
-1, 1
Let x be -1 - 0 - (-7 - -4). Suppose 0 = x*z + 2*z. Let 0*a**2 + z*a + 0*a**3 + 0 + 1/3*a**4 = 0. Calculate a.
0
What is w in -7*w**3 + 8*w**2 + 2*w - 4*w**4 - 3 + 2*w**5 + 3*w**3 - 3 + 2 = 0?
-1, 1, 2
Let u(x) = -x**4 + x**3 + x**2. Suppose 4*h + 3*d = 5, 2 = -d + 1. Let o(s) = s**2 + s**2 + s**3 - s**h. Let a(l) = o(l) - u(l). Factor a(m).
m**4
Let f be -4 - (636/(-105) + 2). Let z(b) be the first derivative of 0*b**4 - f*b**5 - 2 + 0*b**3 + 0*b**2 + 0*b - 1/21*b**6. Factor z(x).
-2*x**4*(x + 1)/7
Let w(o) be the first derivative of -2/3*o**2 - 5 - 2/9*o**3 + 0*o. Factor w(j).
-2*j*(j + 2)/3
Let w be -1*37/(-7) + (-980)/196. Find x such that -6/7*x**5 + 4/7*x**3 + 0*x + 0*x**2 + 0 - w*x**4 = 0.
-1, 0, 2/3
Let b(l) be the third derivative of l**8/84 - 2*l**7/35 - 2*l**6/15 + 15*l**2. Determine t, given that b(t) = 0.
-1, 0, 4
Let r(b) be the first derivative of 32*b**3/15 + 8*b**2/5 + 2*b/5 - 2. Factor r(n).
2*(4*n + 1)**2/5
Let 6*t - 6*t**3 - 3*t**2 - 3/2*t**4 + 9/2 = 0. Calculate t.
-3, -1, 1
Let d(s) be the first derivative of 2*s**3/21 - 3*s**2/7 + 4*s/7 - 1. What is w in d(w) = 0?
1, 2
Let g be (-20)/24*2*-3. Suppose 3*r = -p - 4*p + 19, r - 13 = -g*p. Let -1/5*k + 1/5*k**4 - 2/5*k**2 + 1/5 - 1/5*k**5 + 2/5*k**r = 0. What is k?
-1, 1
Let x = 727 + -3633/5. Factor 0 + 2/5*h**4 - x*h**5 - 2/5*h**2 + 2/5*h**3 + 0*h.
-2*h**2*(h - 1)**2*(h + 1)/5
Factor -3/7*u**2 + 3/7*u**4 - 2/7*u + 0 + 2/7*u**3.
u*(u - 1)*(u + 1)*(3*u + 2)/7
Let x(l) be the first derivative of 7/8*l**2 + 1/5*l**5 + 13/16*l**4 + 1/4*l - 4 + 5/4*l**3. Factor x(n).
(n + 1)**3*(4*n + 1)/4
Let b = -21 - -17. Let p be b - ((-99)/12 + -1). Solve -p*q**3 - 9/4*q**2 + 0 + 15/4*q**5 + 3/2*q + 9/4*q**4 = 0.
-1, 0, 2/5, 1
Factor 2/7*c**4 - 2/7*c**2 + 4/7*c + 0 - 4/7*c**3.
2*c*(c - 2)*(c - 1)*(c + 1)/7
Factor 4*h**2 - 32 - 10*h**3 - 8*h**3 + 28 + 18*h.
-2*(h - 1)*(h + 1)*(9*h - 2)
Let u(o) be the first derivative of 3*o**3 + 11*o**2/2 + 2*o - 10. What is x in u(x) = 0?
-1, -2/9
Let j(p) be the first derivative of 1 - 1/9*p**3 + 0*p + 0*p**2 + 0*p**4 + 1/15*p**5. Let j(a) = 0. Calculate a.
-1, 0, 1
Let y(q) = -q**3 - 6*q**2 + 4*q + 4. Let l(w) = 1 - 9*w - 3 + 2*w**3 - 4 - 3 + 13*w**2. Let i(u) = 4*l(u) + 9*y(u). Factor i(k).
-k**2*(k + 2)
Factor u**4 + 2*u**2 + 55*u**3 + u**5 - 3*u**2 - 56*u**3.
u**2*(u - 1)*(u + 1)**2
Find d, given that -4/9*d - 2/9*d**2 - 2/9 = 0.
-1
Suppose -935*m = -940*m + 20. Determine t, given that -17/6*t**m + 5/6*t**5 + 0*t - 2/3*t**2 + 0 + 8/3*t**3 = 0.
0, 2/5, 1, 2
Let a(w) be the second derivative of -w**5/90 + w**4/27 - 9*w. Find r such that a(r) = 0.
0, 2
Let 7/5*j**5 - 2/5*j**4 + 0*j**2 + 0*j**3 + 0 + 0*j = 0. Calculate j.
0, 2/7
Determine h, given that -8*h - 12*h + 14 + 8*h**2 - 4*h**2 + 2 = 0.
1, 4
Let o(s) = 51*s**2 + 9*s + 15. Let f(h) = -13*h**2 - 2*h - 4. Let a(n) = -15*f(n) - 4*o(n). Suppose a(t) = 0. Calculate t.
-2/3, 0
Let u(a) be the first derivative of 4 + 8*a + 0*a - 8*a**3 + a**4 - 26*a + 24*a**2 - 14*a. Determine t so that u(t) = 0.
2
Let z(p) be the third derivative of 0 - 1/300*p**6 + 0*p + 1/150*p**5 + 1/15*p**4 + 5*p**2 - 4/15*p**3. Find u, given that z(u) = 0.
-2, 1, 2
Let z be (112/48)/(-7)*(-6)/4. Factor 1/2*t + 0 + z*t**3 - t**2.
t*(t - 1)**2/2
Let p(r) be the third derivative of 2/3*r**3 + 1/2*r**4 + 1/20*r**6 - 2*r**2 + 13/60*r**5 + 0*r + 1/210*r**7 + 0. Factor p(u).
(u + 1)**2*(u + 2)**2
Let l(b) be the second derivative of 2*b**6/15 - b**5/5 - b**4/3 + 2*b**3/3 + 10*b. Let l(p) = 0. What is p?
-1, 0, 1
Factor -16*f**2 + 117 - 12*f**3 - 111 + 10*f**4 + 6*f**5 + 6*f**5 + 4*f - 4*f**5.
2*(f - 1)*(f + 1)**3*(4*f - 3)
Let r(l) = -3*l**3 + 18*l**2 - 36*l + 27. Let f(q) = -3*q**3 + 18*q**2 - 36*q + 26. Let y(h) = 3*f(h) - 2*r(h). Factor y(i).
-3*(i - 2)**3
Let -5*n - 9*n**3 + 7*n - 15*n**2 - 2*n + 6*n = 0. What is n?
-2, 0, 1/3
Let s = -68 + 68. Let 1/2*j - 1/2*j**4 - 3/2*j**2 + s + 3/2*j**3 = 0. What is j?
0, 1
Let l(b) be the second derivative of b**7/168 - b**6/24 + 3*b**5/80 + 3*b**4/16 - 17*b. Determine n so that l(n) = 0.
-1, 0, 3
Let t(f) = -f**3 + f**2 - f. Let l(z) = -5*z**3 + 7*z**2 - 3*z. Let j(m) = -2*l(m) + 6*t(m). Factor j(w).
4*w**2*(w - 2)
Let k be (-154)/(-36) + (-16)/(-72). Let i = 119/22 - k. Determine s, given that 0 + 0*s + 14/11*s**4 - 4/11*s**2 - i*s**3 = 0.
-2/7, 0, 1
Let v(o) = 6*o**3 - 8. Suppose -2*h + 36 = -0*h. Let j(l) = -18*l - 4*l**3 + 5 + h*l. Let m(g) = 8*j(g) + 5*v(g). Find u, given that m(u) = 0.
0
Let z be 2*5/30*3. Let m(u) be the first derivative of z - 2/7*u + 2/21*u**3 - 1/7*u**2 + 1/14*u**4. Factor m(o).
2*(o - 1)*(o + 1)**2/7
Suppose -b + 4*b - 9 = 0. Solve -4*f**3 - 8*f**2 + 8*f + f**b + 0*f**3 - 3*f**3 = 0 for f.
-2, 0, 2/3
Suppose -2*n + 5 = t - 6*n, 0 = 3*t + 4*n - 15. Determine v so that 0 + 1/5*v**t + 2/5*v**4 + 0*v**2 + 0*v + 1/5*v**3 = 0.
-1, 0
Let t(b) be the second derivative of -5*b**4/4 - 10*b**3/3 + 10*b**2 - 14*b. Factor t(v).
-5*(v + 2)*(3*v - 2)
Let m = -54/17 - -341/102. Determine p, given that 0 + m*p**3 + 1/2*p**5 - 1/6*p**2 + 0*p + 5/6*p**4 = 0.
-1, 0, 1/3
Let b = -43 - -46. Let s(c) be the third derivative of 1/20*c**5 + 1/120*c**6 + 0*c - b*c**2 + 0 + 1/6*c**3 + 1/8*c**4. Solve s(r) = 0.
-1
Factor 9 + 1/3*t**4 + 18*t + 10/3*t**3 + 12*t**2.
(t + 1)*(t + 3)**3/3
Find g such that -81/4*g + 81/4 - 3/4*g**3 + 27/4*g**2 = 0.
3
Suppose 5/2*k**3 + 3 - 6*k**2 - 11/2*k = 0. What is k?
-1, 2/5, 3
Suppose 5*o = 16 + 9. Factor 4*a**4 - 2*a**3 + 0*a**3 - 3*a**o + a**5.
-2*a**3*(a - 1)**2
Let z(u) be the second derivative of -u**5/360 + u**4/144 + u**3/18 - 3*u**2 - 6*u. Let m(w) be the first derivative of z(w). Let m(b) = 0. Calculate b.
-1, 2
Let u(b) = 3*b - 2. Let z(w) = w. Let s(h) = u(h) - 2*z(h). Let f be s(4). Find a, given that 2*a**f + 8/3*a + 2/3 = 0.
-1, -1/3
Let w be (0/(1 - 3))/2. Let x be 4 - 10/5 - (-4 - -4). Factor 1/2*c**4 + 1/4*c**3 + w + 0*c**x + 0*c.
c**3*(2*c + 1)/4
Let h(a) be the second derivative of a**7/14 - 2*a**6/5 + 9*a**5/10 - a**4 + a**3/2 + 4*a. Determine l, given that h(l) = 0.
0, 1
Let u(q) be the second derivative of q**6/480 - q**5/40 + q**4/8 - q**3/3 + q**2 - q. Let j