4/66 - 9*j. Factor u(x).
-2*x**2*(4*x + 1)/11
Factor 3*d + d**2 + 16 + 16 - 30.
(d + 1)*(d + 2)
Let h(j) = 15*j**2 + 31*j + 12. Let k(r) = -r. Suppose -c + 5*v = 2*c - 8, -2 = c + 3*v. Let q(m) = c*h(m) - 5*k(m). Solve q(z) = 0.
-2, -2/5
Let p = -12 - -20. Suppose k + 4*u = -p - 8, -3*u = -2*k + 12. Factor 4/9*g**2 + k*g + 10/9*g**3 + 0.
2*g**2*(5*g + 2)/9
Let v(o) = 4*o**5 + 3*o**2 - 8*o**4 + 0 + 0*o**2 - 5 + 10*o**2 + o. Let t(p) = 2*p**5 - 4*p**4 + 6*p**2 - 2. Let c(m) = 10*t(m) - 4*v(m). Factor c(w).
4*w*(w - 1)**3*(w + 1)
Let g(p) be the third derivative of -p**10/30240 + p**8/6720 - p**4/8 + p**2. Let z(a) be the second derivative of g(a). Determine l so that z(l) = 0.
-1, 0, 1
Let u(w) = -w**3 + 2*w. Let a be u(0). Let g(h) be the second derivative of -1/30*h**4 + a*h**3 + 1/5*h**2 - 3*h + 0. Suppose g(k) = 0. Calculate k.
-1, 1
Factor 0 - 39/4*s**4 + 12*s**3 + 0*s - 3*s**2 + 9/4*s**5.
3*s**2*(s - 2)**2*(3*s - 1)/4
Let i(m) be the third derivative of -m**8/336 - m**7/210 + m**6/60 + m**5/30 - m**4/24 - m**3/6 + 3*m**2. Factor i(u).
-(u - 1)**2*(u + 1)**3
Find u such that -16/7*u**3 + 2*u + 4/7 + 6/7*u**2 - 8/7*u**4 = 0.
-2, -1/2, 1
Determine a so that -12*a**3 + 8*a**3 + 2*a**2 + 4*a**4 - 2*a**4 = 0.
0, 1
Let u(y) be the first derivative of y**5/10 - y**4/2 + y**3/2 + 75. Find h such that u(h) = 0.
0, 1, 3
Let i(p) be the second derivative of p**5/20 - 5*p**4/24 + p**3/3 + p**2/2 + p. Let w(y) be the first derivative of i(y). Factor w(o).
(o - 1)*(3*o - 2)
Let u be (-10)/15*(-4)/(-24). Let m = 25/18 - u. Factor -1/2*t**2 - m*t - 1.
-(t + 1)*(t + 2)/2
What is r in r - 3*r + r**3 - 3*r**2 + 4*r + 0*r = 0?
0, 1, 2
Let s(k) be the third derivative of k**8/672 - k**7/420 - k**6/240 + k**5/120 - 5*k**2. Factor s(d).
d**2*(d - 1)**2*(d + 1)/2
Let c be (2/12)/(5/10*50). Let l(k) be the third derivative of 0*k**3 + k**2 + 1/600*k**6 + 0 + 0*k + 1/120*k**4 - c*k**5. What is s in l(s) = 0?
0, 1
Let v be (-4)/14 + (-20912)/1386. Let d = v + 140/9. Factor -4/11*g + 6/11*g**2 + 0 - d*g**3.
-2*g*(g - 2)*(g - 1)/11
Let z = -772 + 3872/5. Find u such that z*u - 2/5 - 18/5*u**2 = 0.
1/3
Factor 77*z - 47*z + 0*z**2 + 5*z**2.
5*z*(z + 6)
Let r be 50/375 - 37/(-60). Factor -1/4*k**4 + r*k**3 - 3/4*k**2 + 0 + 1/4*k.
-k*(k - 1)**3/4
Let u(l) be the first derivative of -3*l**5/35 + 15*l**4/28 - 9*l**3/7 + 3*l**2/2 - 6*l/7 + 1. Solve u(d) = 0 for d.
1, 2
Let m = -73 - -76. Factor 4/5*r**m - 2/5 - 4/5*r + 2/5*r**4 + 0*r**2.
2*(r - 1)*(r + 1)**3/5
Let t(h) = 5*h + 20. Let q be t(-5). Let v(y) = y**3 + 6*y**2 + 3*y - 8. Let o be v(q). Factor 2/7 + 0*u - 2/7*u**o.
-2*(u - 1)*(u + 1)/7
Let o(m) be the second derivative of -m**8/84 + m**6/15 - m**4/6 + 3*m**2/2 + 7*m. Let r(y) be the first derivative of o(y). Factor r(x).
-4*x*(x - 1)**2*(x + 1)**2
Let i = 65 + -62. Let c = 728/5 - 144. Find y, given that 2*y + c*y**2 + 2/5*y**i + 4/5 = 0.
-2, -1
Let s = -12 + 14. Determine l so that 2*l**2 + 2*l**2 + 4*l**3 - s*l**4 - 2*l**2 + 4*l**4 = 0.
-1, 0
Let n = -4 + 8. Let h = 6 - n. Solve -2*m + h*m**2 - 14 + 14 = 0 for m.
0, 1
Let b(q) = q**2 - 6*q - 4. Let v be b(5). Let t be (-39)/v + -2 - 1. Factor -t - 1/3*h**2 - 4/3*h.
-(h + 2)**2/3
Let m(q) be the first derivative of -q**8/840 - q**7/420 + 2*q**3/3 + 5. Let r(c) be the third derivative of m(c). Factor r(a).
-2*a**3*(a + 1)
Let o = 23 - -5. Let w be (-48)/(-70) + o/(-70). Solve 4/7*r**2 + w*r + 2/7*r**3 + 0 = 0.
-1, 0
Suppose 0 = -5*t - 1244 + 194. Let w be t/(-12) - 4/1. Determine c so that -1/2*c**3 - 27/2 - w*c - 9/2*c**2 = 0.
-3
Solve -4/5*o + 0 + 2/5*o**3 + 2/5*o**5 + 6/5*o**2 - 6/5*o**4 = 0 for o.
-1, 0, 1, 2
Let v(u) be the second derivative of -5*u**7/84 + 2*u**6/15 - u**5/40 - u**4/12 - 10*u. Determine t so that v(t) = 0.
-2/5, 0, 1
Let z = -9 - -11. Let h be 0 + -3 + 1 + 4. Solve -3*l**5 + h*l**z + 3*l**3 - 2*l**4 - l**3 + l**3 = 0.
-1, -2/3, 0, 1
Let h(o) be the third derivative of o**9/12096 - o**8/6720 - o**3/2 + 2*o**2. Let v(f) be the first derivative of h(f). Factor v(n).
n**4*(n - 1)/4
Let q(a) be the second derivative of a**4/6 + a**3/4 - a**2/4 + 9*a. Factor q(v).
(v + 1)*(4*v - 1)/2
Let h be (-46)/10 + 9/15. Let y(v) = -6*v**2 + 48*v - 42. Let c(f) = f**2 - 7*f + 6. Let t(j) = h*y(j) - 27*c(j). Factor t(q).
-3*(q - 1)*(q + 2)
Let y = -671/7 - -96. Factor 2/7*l - 1/7*l**2 - y.
-(l - 1)**2/7
Let u be (-4)/(-8) - 7/(-2). Suppose -r - 2*n = -5, 2*r - u*n - 15 = -r. Find b, given that r*b**2 + 1 - 6*b**2 + 0 = 0.
-1, 1
Let u(p) be the first derivative of 2*p**5/15 - p**4/6 - 2*p**3/3 + p**2/3 + 4*p/3 + 7. Let u(k) = 0. Calculate k.
-1, 1, 2
Let v(i) be the third derivative of i**5/60 - i**3/2 - i**2. Let d be v(-3). Find u such that u**5 + 0*u**5 + 2*u**2 + 6*u**3 + u**5 + d*u**4 = 0.
-1, 0
Let c(n) be the first derivative of n**5 - 5*n**4/2 + 5*n**2 - 5*n - 5. Factor c(j).
5*(j - 1)**3*(j + 1)
Let p(l) be the third derivative of -l**5/210 - 6*l**2. Suppose p(o) = 0. What is o?
0
Suppose 2*b = -0*b + 2. Let i(x) be the first derivative of 0*x**2 + 1/12*x**3 + 0*x - b. Find t such that i(t) = 0.
0
Suppose -2*x + 4 + 0 = 0. Suppose 2*f + x - 3*f**2 + f + 4 = 0. Calculate f.
-1, 2
Suppose -24*r + 22*r = -8. Suppose -10*z + 6*z = -r. Factor 1/2*w + w**2 - 1/2*w**3 - z.
-(w - 2)*(w - 1)*(w + 1)/2
Let a(z) be the first derivative of 8/3*z**3 - 3 + 4*z + 5*z**2 + 1/2*z**4. Factor a(d).
2*(d + 1)**2*(d + 2)
Let v(x) be the second derivative of -3*x**4/4 + x**3/2 + 3*x**2 + x. Solve v(f) = 0.
-2/3, 1
Let z(o) = -6*o**3 - 4*o**2 - 4*o. Let q(j) = -5*j**3 - 3*j**2 - 3*j. Let s(h) = -4*q(h) + 3*z(h). Find c such that s(c) = 0.
0
Let x be (-7)/((-14)/8) - 0. Let f(o) be the first derivative of 0*o**2 + 2/3*o**3 + 0*o - x. Factor f(l).
2*l**2
Suppose 0 = -6*s + 15 - 3. Let m(q) be the third derivative of 0*q + 1/60*q**6 - 1/12*q**4 - 1/30*q**5 + 0 - s*q**2 + 1/3*q**3. Solve m(d) = 0 for d.
-1, 1
Let -1/10*r**4 + 0*r - 1/5*r**2 + 0 + 3/10*r**3 = 0. Calculate r.
0, 1, 2
Factor 27*u**2 + 36*u - 4 + 10 + 6.
3*(3*u + 2)**2
Suppose o + j = 3*j + 12, 4*j = -2*o - 8. Let y = o - 2. Find n, given that -4*n + 26*n**2 + y*n**4 - 12*n**3 + 8 - 21*n + n = 0.
1, 2
Suppose -2*g + 4*d = -0 + 8, 2*g - 16 = -2*d. Suppose r - g*r + 6 = 0. Factor -5/4*v**3 - 7/4*v + 1/2 + 1/4*v**4 + 9/4*v**r.
(v - 2)*(v - 1)**3/4
Suppose -v + 6*v - 40 = 0. Suppose -v*q = -11*q. Factor 0*r + 1/5*r**4 + q*r**2 + 1/5*r**3 + 0.
r**3*(r + 1)/5
Let d(z) be the first derivative of 2/5*z**5 - z**2 - 4/3*z**3 - 2 + z**4 + 2*z - 1/3*z**6. Let d(f) = 0. What is f?
-1, 1
Let j(q) be the first derivative of q**8/2520 - q**7/1260 - q**6/540 + q**5/180 - 5*q**3/3 - 5. Let d(n) be the third derivative of j(n). Factor d(b).
2*b*(b - 1)**2*(b + 1)/3
Let p(q) be the second derivative of -q**7/840 - q**6/360 + q**5/60 - 2*q**3/3 - 4*q. Let t(g) be the second derivative of p(g). Factor t(j).
-j*(j - 1)*(j + 2)
Let l(x) be the third derivative of -x**8/224 + x**7/140 + x**6/40 - x**5/20 - x**4/16 + x**3/4 + 19*x**2. Solve l(q) = 0 for q.
-1, 1
Let h = -77 + 77. Let h + 0*d - 2/3*d**2 - 2*d**3 - 2/3*d**5 - 2*d**4 = 0. What is d?
-1, 0
Suppose -2*w - 8 = -2*n, w = 4*n - w - 16. Suppose 2*b - 1/4*b**2 - n = 0. Calculate b.
4
Let o be -1 + 79/60 + (-3)/12. Let p(g) be the third derivative of 2*g**2 - 1/24*g**4 + 0*g**3 + 0*g + o*g**5 + 0. Determine u so that p(u) = 0.
0, 1/4
Let f be ((-3)/2)/(3/(-4)). Let w be (-2)/(-8)*(f - 1). Factor 0*q - 1/4 + w*q**2.
(q - 1)*(q + 1)/4
Let q be -7 - ((-702)/45 + 7). Suppose -6/5*a**5 - 8/5*a - 12/5*a**2 + 16/15 + q*a**4 + 46/15*a**3 = 0. What is a?
-1, 2/3, 2
Let n(u) be the first derivative of u**3/6 + 3*u**2/2 + 9*u/2 - 62. Factor n(h).
(h + 3)**2/2
Factor 36 - 4*h**2 - h**3 - 36 - 3*h.
-h*(h + 1)*(h + 3)
Let j(k) be the first derivative of k**4/22 - 2*k**3/33 - 2*k**2/11 + 6. Factor j(y).
2*y*(y - 2)*(y + 1)/11
Suppose -4*f + 5*f - 5*b + 22 = 0, -2*f - 5*b + 31 = 0. What is y in -4*y**3 - 12 + f*y**3 - 12*y**2 - 7*y**3 + 32*y = 0?
-3, 1/2, 1
Let i(p) = -p**5 - 5*p**4 + 17*p**3 - 5*p**2 - p + 5. Let c(v) = -v**5 - 2*v**4 + 8*v**3 - 2*v**2 - v + 2. Let w(m) = 5*c(m) - 2*i(m). What is l in w(l) = 0?
-1, 0, 1
Factor -4*a + 2 + 3/2*a**2 + a**3 - 1/2*a**4.
-(a - 2)*(a - 1)**2*(a + 2)/2
Let s = -58/3 - -182/9. Suppose -s*j**2 + 0 - 2/9*j**