+ -276089/9. Let i = k - 65. Factor -4/9 - 14/9*w + 2/3*w**3 - i*w**2.
2*(w - 2)*(w + 1)*(3*w + 1)/9
Let s(x) = -x + 1. Let j be s(-5). Suppose -28 = -4*b + 5*v, -b + 3*v - j = 5*v. Determine k, given that -k**2 - b*k**4 - 4*k**3 - k**2 + 0*k**4 = 0.
-1, 0
Suppose n - 2*o - 22 = -5*o, n - 3*o = -8. Find c such that n*c + 3*c**2 - c**2 + c - 10*c = 0.
0, 1
Factor -2/9*w**2 + 4/9 - 2/9*w.
-2*(w - 1)*(w + 2)/9
Factor -81/5 - 1/5*x**2 - 18/5*x.
-(x + 9)**2/5
Let r(y) be the second derivative of 1/48*y**4 + 0 + 3/8*y**2 - 1/6*y**3 + 5*y. Factor r(l).
(l - 3)*(l - 1)/4
Let c(j) = 3*j**2 + 2*j - 2. Let p be c(-2). Suppose 4*f = 3*f + 2*r - p, -3*r + 9 = -4*f. Find n, given that -5/3*n**3 + 0*n + f + 1/3*n**2 = 0.
0, 1/5
Let j(w) = 5*w**4 - 9*w**3 + 7*w. Let q(v) = 2*v**4 - 4*v**3 + 3*v. Let b(k) = -3*j(k) + 7*q(k). Suppose b(f) = 0. Calculate f.
-1, 0
Let z(a) be the first derivative of a**8/1176 + a**7/735 - a**6/420 - a**5/210 + 3*a**2/2 - 3. Let g(o) be the second derivative of z(o). Factor g(b).
2*b**2*(b - 1)*(b + 1)**2/7
Find d, given that d**2 + 25 + 3*d**2 - 2*d - 25 = 0.
0, 1/2
Let k = 0 + -5. Let j be (5*(-2)/k)/2. Let -9/2*m**2 + 7/2*m + j = 0. What is m?
-2/9, 1
Let h(p) be the second derivative of p**6/60 - p**4/8 + p**3/6 + 30*p. What is l in h(l) = 0?
-2, 0, 1
Let h(t) be the first derivative of -3*t**4/10 - t**3 - 6*t**2/5 - 3*t/5 + 1. Let h(q) = 0. Calculate q.
-1, -1/2
Suppose 4*z + 28 = g - 3*g, -5*z - 45 = 5*g. Let o(y) = -y - 3. Let s be o(z). Factor -b - 3*b**3 - b**4 - s*b**2 + 0*b - b**2.
-b*(b + 1)**3
Solve 0*b - 6/7*b**2 + 0 + 8/7*b**3 - 2/7*b**4 = 0 for b.
0, 1, 3
Factor 7*w**4 - w**2 + 3*w**3 + 5*w**4 - 2*w**2 - 9*w**4 - 3*w**5.
-3*w**2*(w - 1)**2*(w + 1)
Let v be 24/9 + 3/9. Let i(f) be the first derivative of 2*f + 0*f**3 - 2*f**2 - 2/5*f**5 - v + f**4. Suppose i(z) = 0. Calculate z.
-1, 1
Let v(j) be the third derivative of -49/60*j**6 + 119/30*j**5 + 4*j**3 + 20/3*j**4 + 2*j**2 + 0*j + 0. Determine l so that v(l) = 0.
-2/7, 3
Let n(b) be the second derivative of -5*b**7/42 + b**5 + 5*b**4/6 - 5*b**3/2 - 5*b**2 + 34*b. Factor n(q).
-5*(q - 2)*(q - 1)*(q + 1)**3
Let s = 11 + -12. Let y = -1 - s. Factor -1/3*b**2 - b**4 + b**3 + 0*b + y + 1/3*b**5.
b**2*(b - 1)**3/3
Let m be 8/(-6) + 45/(-27) + 3. Factor 4/3*q + m - 2/3*q**2.
-2*q*(q - 2)/3
Let c(y) be the second derivative of y**6/10 + 3*y**5/20 - 8*y. Factor c(h).
3*h**3*(h + 1)
Suppose 2*t = 5*i - 2, 0 = -8*i + 3*i - t + 14. Suppose z - 32 = -7*z. Suppose 4*s + 2*s**2 + s**i - 4 - z*s**2 = 0. Calculate s.
2
Let o be -3 - 13605/(-1944) - 4. Let t = 2585/4536 - o. Determine d, given that 2/7 + 2/7*d**2 - t*d = 0.
1
Suppose -7*i = -3*i - 8. Factor 40*w**i + 4*w**3 - 4*w - 26*w**3 - 4*w - 28*w**3.
-2*w*(5*w - 2)**2
Factor -3/8*j**5 - 3/8*j**4 + 0*j + 3/8*j**2 + 3/8*j**3 + 0.
-3*j**2*(j - 1)*(j + 1)**2/8
Let l(t) be the third derivative of t**9/30240 + t**5/20 + 2*t**2. Let f(z) be the third derivative of l(z). Determine q, given that f(q) = 0.
0
Let i(y) = -y**4 + y**3 - y**2 - y. Let k(n) = -20*n**4 + 35*n**3 - 20*n**2 - 25*n. Let f(q) = -25*i(q) + k(q). Factor f(t).
5*t**2*(t + 1)**2
Suppose -4*w - 4*j = -12, 0 = -0*w - 2*w + 4*j - 12. Let d = w + 2. Factor 0 - 2/7*p - 4/7*p**d - 2/7*p**3.
-2*p*(p + 1)**2/7
Let h = 0 - 0. Let m(v) be the second derivative of v + 0 + h*v**3 + 1/24*v**4 - 1/4*v**2. Let m(j) = 0. What is j?
-1, 1
Suppose 17*l - 46 = -6*l. Solve 0 - 4/5*t + 2/5*t**l = 0.
0, 2
Factor -2/7 - 6/7*r - 2/7*r**3 - 6/7*r**2.
-2*(r + 1)**3/7
Solve 27/8*c**2 - 33/8*c**3 - 3/8*c + 3/2*c**4 - 3/8 = 0 for c.
-1/4, 1
Let w(q) be the third derivative of q**5/15 + 45*q**2. Determine b, given that w(b) = 0.
0
Let j(d) be the third derivative of d**8/28 - 4*d**7/21 + 2*d**6/5 - 2*d**5/5 + d**4/6 + 7*d**2. Find u such that j(u) = 0.
0, 1/3, 1
Let l = 12 + -5. Let k = 9 - l. Factor -2/3*n**3 + 0 - 4/3*n + k*n**2.
-2*n*(n - 2)*(n - 1)/3
Let d(c) = -3*c**2 + 2 + 5 + 2*c**2 - 6. Let q(w) = 2*w**2 + 2*w. Let p(b) = -4*d(b) - q(b). Factor p(m).
2*(m - 2)*(m + 1)
Let f(s) be the first derivative of 3*s**5/20 - s**3/2 - 4*s + 6. Let k(l) be the first derivative of f(l). Suppose k(j) = 0. What is j?
-1, 0, 1
Let d(h) be the second derivative of 7*h**7/15 - 77*h**6/75 - 17*h**5/50 + 73*h**4/30 - 32*h**3/15 + 4*h**2/5 - 3*h. Determine s, given that d(s) = 0.
-1, 2/7, 1
Let i(a) be the second derivative of 5*a**4/36 + 10*a**3/9 + 5*a**2/2 + 11*a. Factor i(k).
5*(k + 1)*(k + 3)/3
Let -14/3 - 16/3*v - 2/3*v**2 = 0. What is v?
-7, -1
Let d = -139/10 + 15. Let q = 97/70 - d. Find g, given that -q*g + 0 - 2/7*g**2 = 0.
-1, 0
Let v be 5 + 6 + (-5)/(15/27). Let i(t) = t - 4. Let x be i(4). Factor x*j - 2/7 + 2/7*j**v.
2*(j - 1)*(j + 1)/7
Let u(k) = -5*k + 1 + 8*k**2 - 7*k**3 + 1 - 6*k. Let c(h) = 8*h**3 - 8*h**2 + 12*h - 2. Let y(i) = 4*c(i) + 5*u(i). Factor y(a).
-(a - 1)**2*(3*a - 2)
Let g be 7/((-14)/(-4))*1. Let t be (-1 + -2 + g)*-2. Find s, given that 0*s - 3*s**3 - 3*s**t - s - 2*s - 3*s**2 = 0.
-1, 0
Let h(l) be the second derivative of -l**7/840 + l**5/40 - l**4/6 + 4*l. Let j(p) be the third derivative of h(p). What is t in j(t) = 0?
-1, 1
Let d(s) be the third derivative of s**7/280 + 3*s**6/160 + s**5/40 - s**2. Factor d(v).
3*v**2*(v + 1)*(v + 2)/4
Suppose 2*s - 4*s - 3*g = -49, 2*g = -3*s + 61. Let z = s - 3. Factor -2*k**2 + z + 2*k**3 - 14.
2*k**2*(k - 1)
Let i(z) be the first derivative of -1/12*z**4 + 2*z - 1/6*z**3 - 1 + 0*z**2. Let u(v) be the first derivative of i(v). Factor u(t).
-t*(t + 1)
Let f(p) = -3*p**2 - 13*p + 4. Let m(c) = 3*c**2 + 12*c - 3. Let n(g) = 3*f(g) + 4*m(g). Let n(l) = 0. What is l?
-3, 0
Let p be 400/(-22)*1079/(-26). Let c = p - 754. Factor -8/11*h**2 + 2/11 - c*h.
-2*(h + 1)*(4*h - 1)/11
Let z(c) be the second derivative of -c**5/20 - 2*c**4/3 + c**3/6 + 11*c**2/2 - c. Let s be z(-8). Factor s*l**2 + 6 + 2*l**3 + 6*l + 3*l**2 - 4.
2*(l + 1)**3
Suppose -3 = -p - 0. Let f be p + -6 - 17/(-5). Factor f*i**2 + 4/5*i + 0.
2*i*(i + 2)/5
Let j(g) = 5*g. Let f be j(2). Let m = -8 + f. Suppose 6 + 12 + m*w**2 - 3*w + 15*w = 0. What is w?
-3
Let x = 73 - 291/4. Let 0 + x*u**2 + 0*u**3 - 1/4*u**4 + 0*u = 0. What is u?
-1, 0, 1
Let t(j) be the first derivative of j**6/6 - 2*j**5 + 9*j**4 - 18*j**3 + 27*j**2/2 - 35. Factor t(c).
c*(c - 3)**3*(c - 1)
Let c(x) = x**4 + x**3 + x - 1. Let u(j) = -2*j**4 - j**3 - j**2 - 7*j + 3. Let b be (0 - -2) + 3/(-3). Let z(t) = b*u(t) + 4*c(t). What is n in z(n) = 0?
-1, -1/2, 1
Let a(k) = 4*k + 27. Let w be a(-6). Factor 0*n**w - 3/4*n**2 + 1/4*n**4 + 1/2*n + 0.
n*(n - 1)**2*(n + 2)/4
Let a(f) be the third derivative of -1/1050*f**7 + 0*f + 1/60*f**4 + 1/100*f**5 + 0*f**3 + 0*f**6 + 0 + f**2. Factor a(i).
-i*(i - 2)*(i + 1)**2/5
Let w(v) be the third derivative of -v**6/24 + 3*v**5/20 - v**4/8 - v**3/3 + 4*v**2. Let f(x) be the first derivative of w(x). Suppose f(g) = 0. Calculate g.
1/5, 1
Factor 2/3*l**3 + 0 + 0*l - 4/3*l**2.
2*l**2*(l - 2)/3
Let t(c) be the third derivative of -3/8*c**4 - 2*c**2 - c**3 + 0*c + 0*c**5 + 0 + 1/40*c**6. Find k, given that t(k) = 0.
-1, 2
Let w = 3 + 1. Suppose 18 = w*k + 2. Factor 3*x**2 + 11*x - k - 11*x - x**3.
-(x - 2)**2*(x + 1)
Let r(o) = 2*o**4 - 6. Let z = -9 + 13. Let a(m) = -3*m**4 + m**2 + 7. Let k(x) = z*a(x) + 5*r(x). Suppose k(c) = 0. What is c?
-1, 1
Let d(z) be the first derivative of z**6/3 - 7*z**5/5 + 2*z**4 - 2*z**3/3 - z**2 + z + 6. Suppose d(y) = 0. Calculate y.
-1/2, 1
Let r(u) be the first derivative of 0*u - 1/4*u**6 - 3 + 0*u**4 + 3/4*u**2 - 3/5*u**5 + u**3. Find x, given that r(x) = 0.
-1, 0, 1
Let f(v) be the third derivative of -2*v**7/105 + v**6/10 - v**5/5 + v**4/6 + 30*v**2. Factor f(a).
-4*a*(a - 1)**3
Factor 24*k**4 - 4*k**5 + 2*k**5 - 22*k**4 + k**5.
-k**4*(k - 2)
Let h(m) be the second derivative of -m**4/18 - 4*m**3/9 - 4*m**2/3 - 10*m. Solve h(g) = 0 for g.
-2
Suppose -319 = -4*a - 311. Let 0 - 3/5*n**3 - 3/5*n**a - 1/5*n - 1/5*n**4 = 0. Calculate n.
-1, 0
Suppose 3*u = 4*u - 3. Let q(l) be the third derivative of 0*l + 2/15*l**5 + 0 - 2/9*l**u - 2*l**2 + 1/12*l**4 + 7/180*l**6. Determine f so that q(f) = 0.
-1, 2/7
Let b = 0 - -5. Let j(d) be the second derivative of 0 + 0*d**2 + 1/20*d**b + 0*d**4 + 0*d**3 + 3*d + 1/30*d**6. Factor j(a).
a**3*(a + 1)
