te x.
-1, 0, 1
Factor 1/4*l**3 - 1/4*l - 3/4 + 3/4*l**2.
(l - 1)*(l + 1)*(l + 3)/4
Let h(p) be the second derivative of p**7/7 - p**6/10 - 3*p**5/10 + p**4/4 + 3*p. Find x, given that h(x) = 0.
-1, 0, 1/2, 1
Let q be (-2)/(-30)*89 - (-64)/(-192). Factor -8/5*o + 16/5*o**3 + q*o**2 + 0.
4*o*(o + 2)*(4*o - 1)/5
Let v(u) be the third derivative of 1/40*u**6 + 3/112*u**8 + 0*u - 1/20*u**5 + 0 + 1/14*u**7 + 0*u**3 + 2*u**2 + 0*u**4. Let v(m) = 0. Calculate m.
-1, 0, 1/3
Let y(g) be the third derivative of 3*g**2 + 1/210*g**7 + 0 + 1/20*g**5 - 1/24*g**4 - 1/40*g**6 + 0*g**3 + 0*g. Factor y(l).
l*(l - 1)**3
Suppose 12 = k - 2*n, -k - 4*n - 4 = 2*k. Factor -k*f**4 - f - 2*f**2 - 2*f**4 + 4*f**2 - 3*f + 8*f**3.
-2*f*(f - 1)**2*(3*f + 2)
Let b(a) = 88 - 109 - 101 - 28*a**2 - 78 - 136*a - 11*a**3. Let j(d) = 4*d**3 + 9*d**2 + 45*d + 67. Let o(y) = 3*b(y) + 8*j(y). Factor o(p).
-(p + 4)**3
Let -7*n**2 + 12*n**5 + 7*n**2 - 8*n**4 = 0. What is n?
0, 2/3
Let w(z) = -z**3 - 6*z**2 + 6*z - 5. Let p be w(-7). Determine i so that -3*i**4 - i - 2*i**5 - 18*i**3 - 3*i - 14*i**p - 7*i**4 = 0.
-2, -1, 0
Let z be (10 - (16 + -9))*(-2)/(-3). Determine c so that -2/5 - 48/5*c**z + 32/5*c**3 + 18/5*c = 0.
1/4, 1
Let f = 9 + 3. Factor -7*n**2 + 6 - 18*n**3 - 6 - 36*n - 3*n**4 - f - 32*n**2.
-3*(n + 1)**2*(n + 2)**2
Let m(g) be the third derivative of -g**7/210 + g**6/40 + g**5/12 - g**4/8 - 2*g**3/3 + 14*g**2. Find s, given that m(s) = 0.
-1, 1, 4
Let g(l) be the third derivative of l**8/90720 + l**7/11340 - l**5/30 + 2*l**2. Let f(h) be the third derivative of g(h). Factor f(z).
2*z*(z + 2)/9
Let j(u) be the second derivative of 0*u**3 + 0*u**4 + 0 + 1/60*u**5 + 2*u + u**2. Let a(o) be the first derivative of j(o). Factor a(w).
w**2
Let x be 205/(-164)*-2*2. Factor 0*m - 6/11*m**3 - 6/11*m**4 + 0 - 2/11*m**x - 2/11*m**2.
-2*m**2*(m + 1)**3/11
Let s(t) be the third derivative of -t**6/100 + t**5/150 + t**4/30 - t**2. Solve s(m) = 0.
-2/3, 0, 1
Let z(i) = -i**2 + 3*i - 1. Let r be z(2). Suppose -r - 1 = -o. Factor -3*f**2 + 0*f**2 + o*f**4 + 5*f**2 - 4*f**3.
2*f**2*(f - 1)**2
Let g be 1 + -1 - (-2)/(-2). Let t be 1*(1 - g)*1. Factor 2*a + 2*a**3 - 4*a + 2*a**2 - t + 0.
2*(a - 1)*(a + 1)**2
Let w(b) be the second derivative of 7/12*b**4 + 3/2*b**3 + b**2 + b + 0. Factor w(m).
(m + 1)*(7*m + 2)
Determine t so that 9/5*t - 33/5*t**3 - 12/5*t**5 + 41/5*t**4 + 2/5 - 7/5*t**2 = 0.
-1/3, -1/4, 1, 2
Factor -2*y - 7*y**2 - 3*y - y**3 + y + 3*y**2.
-y*(y + 2)**2
Let u(d) be the first derivative of d**3 - 3*d + 45. Let u(f) = 0. What is f?
-1, 1
Let l(m) be the first derivative of -m**4/4 + 3*m**3/2 - 5*m + 4. Let d(i) be the first derivative of l(i). What is t in d(t) = 0?
0, 3
Let j(b) = -b**2 + 4*b + 3. Let p be j(4). Suppose -12*q**p - 4*q - 4*q**2 + 4*q**3 - 3*q**2 - 2*q**4 - 3*q**2 = 0. What is q?
-2, -1, 0
Let n(d) be the third derivative of d**6/1260 - d**5/105 + d**4/21 - 5*d**3/6 - 3*d**2. Let k(s) be the first derivative of n(s). Factor k(b).
2*(b - 2)**2/7
Let k(v) = 2*v**2 + v - 1. Let y be k(1). Let i = 0 + y. Factor -3*h - h**i + 2*h - 2*h - 1 + 5*h.
-(h - 1)**2
Factor -r**2 + 18 + 0*r**2 + 0*r**2 + 3*r**2 - 12*r.
2*(r - 3)**2
Let w(y) be the third derivative of -8*y**7/25 - y**6/5 + y**5/100 + y**4/40 - 8*y**2. Solve w(b) = 0.
-1/4, 0, 1/7
Let z(s) = s**3 + 3*s**2 - 3*s. Let k be z(2). Suppose -3*p - t + 9 = p, -5*p + k = 4*t. Factor 3*f**3 - 2*f**5 - f**3 + 0*f**p + 2*f**2 - 2*f**4.
-2*f**2*(f - 1)*(f + 1)**2
Let n(j) be the first derivative of 5*j**4/2 + 35*j**3/3 + 10*j**2 - 20*j - 12. Factor n(a).
5*(a + 2)**2*(2*a - 1)
Let k(r) = -27*r**2 - 33*r. Let i(b) = -11*b**2 - 13*b. Let t(x) = -12*i(x) + 5*k(x). Factor t(w).
-3*w*(w + 3)
Let u(x) be the second derivative of -x**4/4 + 7*x**3/12 - x**2/4 - 18*x. Factor u(t).
-(t - 1)*(6*t - 1)/2
Let y(k) be the second derivative of k**7/147 + 2*k**6/105 - k**4/21 - k**3/21 + 2*k. Suppose y(u) = 0. Calculate u.
-1, 0, 1
Let y(a) = a**2 + 11*a + 10. Let q be y(-10). Let 3/4*i**2 + q + 0*i = 0. Calculate i.
0
Factor -6/5*j**3 + 18/5 - 42/5*j - 34/5*j**2.
-2*(j + 3)**2*(3*j - 1)/5
Let d be (36/90)/(1/10). Suppose -3*s**3 - 6 + 14 - s**d + s + 2*s**2 + 11*s = 0. Calculate s.
-2, -1, 2
Suppose -3*r = 4*r - 91. Let g = -10 + r. Factor 2/5 + 2/5*s**4 + 12/5*s**2 - 8/5*s**g - 8/5*s.
2*(s - 1)**4/5
Let w(f) be the second derivative of -f**6/45 - f**5/15 - f**4/18 - 5*f. Factor w(i).
-2*i**2*(i + 1)**2/3
Let j be 5*1 + (-781)/284. Suppose n - 8 = -3*n. Solve -j*z + 3/2 + 3/4*z**n = 0 for z.
1, 2
Let w(r) be the third derivative of r**7/280 + r**6/48 + r**5/20 + r**4/8 - 2*r**2. Let s(q) be the second derivative of w(q). Suppose s(t) = 0. Calculate t.
-1, -2/3
Let n(o) be the third derivative of o**7/840 - o**4/24 - 2*o**2. Let j(r) be the second derivative of n(r). Solve j(p) = 0 for p.
0
Suppose -5*f - 6 = 9. Let g(p) = -12*p**3 + 132*p**2 - 100*p + 44. Let m(q) = -q**3 + 12*q**2 - 9*q + 4. Let h(x) = f*g(x) + 32*m(x). Factor h(d).
4*(d - 1)**3
What is y in 0*y + 4/7*y**5 - 4/7*y**2 + 4/7*y**4 - 4/7*y**3 + 0 = 0?
-1, 0, 1
Let r(w) be the second derivative of -2*w**7/21 + 14*w**6/15 - 14*w**5/5 + 2*w**4/3 + 10*w**3 - 18*w**2 - 15*w. Find g such that r(g) = 0.
-1, 1, 3
Let d(f) = 5*f**2 + 5*f + 8. Let b(o) = 4*o**2 + 5*o + 7. Let x(h) = -4*b(h) + 3*d(h). Factor x(l).
-(l + 1)*(l + 4)
Factor 13*u**2 - 4*u - 41*u**2 - 2 + 30 + 4*u**3.
4*(u - 7)*(u - 1)*(u + 1)
Let u(b) be the second derivative of -b**5/5 - b**4/3 + 16*b**3/3 + 24*b**2 - 29*b. Factor u(v).
-4*(v - 3)*(v + 2)**2
Factor -1/2*x - 1/2*x**2 + 1/2 + 1/2*x**3.
(x - 1)**2*(x + 1)/2
Let v(u) be the second derivative of u**9/4032 - 3*u**7/1120 - u**6/240 - u**3 - u. Let b(a) be the second derivative of v(a). Factor b(s).
3*s**2*(s - 2)*(s + 1)**2/4
Let h(t) = 3*t**5 + 4*t**3 + 5*t**2 + 3*t + 5. Let z(q) = q**5 + q**2 + q + 1. Let d(w) = -h(w) + 5*z(w). Factor d(v).
2*v*(v - 1)**2*(v + 1)**2
Let y(c) = -25*c**3 + 17*c**2 - 15*c. Let j(z) = 24*z**3 - 18*z**2 + 14*z. Let t(a) = 7*j(a) + 6*y(a). Factor t(p).
2*p*(3*p - 2)**2
Let j be 8/52 + (-152)/(-26). Let r(y) = -y**2 - y. Let s(n) = n**2 + n. Let l(o) = j*r(o) + 5*s(o). Factor l(b).
-b*(b + 1)
Let a(c) be the third derivative of 1/40*c**4 - 1/600*c**6 + 0*c + 1/15*c**3 + 0 + 0*c**5 + 9*c**2. Factor a(z).
-(z - 2)*(z + 1)**2/5
Factor -117*a**3 + 30*a**3 + 96*a + 12 + 135*a**2 - 129*a**3 - 27*a**3.
-3*(a - 1)*(9*a + 2)**2
Let d = 2390/3 - 794. Let v be (-2)/(-9)*(2 - -1). Factor 8/3*b + v*b**4 - 8/3 + 2*b**2 - d*b**3.
2*(b - 2)**2*(b - 1)*(b + 1)/3
Suppose -2*a - 50 - 15 = 5*i, 4*i - 144 = 4*a. Let s be (16/(-14))/(15/a). What is k in 0*k + 1/3*k**2 + 0 + 4*k**4 - 2*k**3 - s*k**5 = 0?
0, 1/2
Let k be (-356)/(-180) - 1/5. Let j(i) be the first derivative of -k*i - 4/9*i**3 - 4/3*i**2 + 1 - 1/18*i**4. Factor j(v).
-2*(v + 2)**3/9
Let p(h) be the second derivative of h**5/210 - h**4/42 + h**3/21 + 3*h**2 - 7*h. Let w(m) be the first derivative of p(m). Factor w(v).
2*(v - 1)**2/7
Let f(y) = y**4 - y + 1. Let k(t) = -15*t**4 + 9*t**3 - 9*t**2 + 15*t - 12. Let s(u) = -12*f(u) - k(u). Factor s(d).
3*d*(d - 1)**3
Factor 2*b - 2*b**2 + 0*b**2 - 2 + 2.
-2*b*(b - 1)
Let q(d) be the third derivative of d**8/13440 - d**7/2520 + d**6/1440 + d**4/12 - d**2. Let b(x) be the second derivative of q(x). Factor b(w).
w*(w - 1)**2/2
Let u(v) = -v**2 - 2*v + 1. Let s be u(-2). Let f(t) = t - 1. Let r be f(s). Let 2/5*m**5 + r*m**3 - 2/5*m - 4/5*m**2 + 0 + 4/5*m**4 = 0. What is m?
-1, 0, 1
Suppose g + 4*o - 39 = 0, -2*g + o - 172 = -5*g. Factor 59 + h**2 - h - g - 2*h**2.
-h*(h + 1)
Let k(w) be the third derivative of w**5/90 + w**4/36 - 2*w**3/9 - 8*w**2. Factor k(o).
2*(o - 1)*(o + 2)/3
Let s = -9 + 17. Let f be (s/16)/((-2)/(-3)). What is c in -1/4*c**2 + 0 - 1/2*c + f*c**3 = 0?
-2/3, 0, 1
Let r(t) be the second derivative of -t**5/150 - t**4/45 + 16*t. Find m, given that r(m) = 0.
-2, 0
Factor 2/11*j**2 + 6/11*j**3 - 10/11*j**4 + 0 - 2/11*j + 4/11*j**5.
2*j*(j - 1)**3*(2*j + 1)/11
Let o be (3/2)/(1/2). Solve i**o - 6*i**4 + 5*i**4 + i**4 - i**4 = 0 for i.
0, 1
Find s, given that -4/3*s**4 + 0 - 4/3*s**2 + 2*s**3 + 1/3*s**5 + 1/3*s = 0.
0, 1
Let h(p) = p**3 - 5*p**2 - 5*p - 6. Let g be h(6). Let a = -65 - -68. Find j, given that -2/5*j + g*j**2 +