pose -4*d - 12 = 4*g - 28, 0 = -d + 2*g - 8. Solve -7*a**2 + d + a + 49/4*a**3 = 0.
0, 2/7
Let f = 27 + -23. Factor -6 + 2 + 2*r**2 - 2*r - f*r**2 + 8*r**2.
2*(r - 1)*(3*r + 2)
Let i(n) be the third derivative of -n**9/50400 + n**8/5040 - n**7/1400 + n**6/900 + n**5/12 - 5*n**2. Let v(t) be the third derivative of i(t). Factor v(m).
-2*(m - 2)*(m - 1)*(3*m - 1)/5
Let c(p) be the first derivative of 1 + 1/20*p**5 - 1/60*p**6 + p + 1/4*p**2 - 1/6*p**3 + 0*p**4. Let i(d) be the first derivative of c(d). Factor i(f).
-(f - 1)**3*(f + 1)/2
Let x(t) be the second derivative of t**7/735 + t**6/210 + t**5/210 + t**2 - t. Let c(n) be the first derivative of x(n). Factor c(s).
2*s**2*(s + 1)**2/7
Let w(c) be the second derivative of c**6/75 - c**5/50 + 5*c. Solve w(m) = 0 for m.
0, 1
Let m = -1237/7 - -177. Factor 4/7*n**3 - 2/7 - m*n - 2/7*n**4 - 2/7*n**5 + 4/7*n**2.
-2*(n - 1)**2*(n + 1)**3/7
Let -4*x**2 - 9*x**2 + 0*x**2 + 4*x**2 + 3*x**3 = 0. What is x?
0, 3
Let z = 11 - 10. Let h(w) = 9*w**2 - 10*w + 2. Let l(m) = m - 1. Let u(p) = z*h(p) - 2*l(p). Factor u(k).
(3*k - 2)**2
Let n(v) be the third derivative of v**8/840 - v**7/420 - v**3 + 7*v**2. Let f(w) be the first derivative of n(w). Factor f(a).
2*a**3*(a - 1)
Let g(y) = 2*y**4 + 9*y**3 + 6*y**2 + 5*y. Let q(f) = -18*f**4 - 80*f**3 - 54*f**2 - 44*f. Let x(s) = -52*g(s) - 6*q(s). Factor x(k).
4*k*(k + 1)**3
Let x(o) = o**3 - 8*o**2 + o + 9. Let w be x(7). Let y be (-17)/w + 9/(-27). Factor -2/11 + 4/11*p - y*p**2.
-2*(p - 1)**2/11
Factor 8/3*i + 8/3 + 2/3*i**2.
2*(i + 2)**2/3
Factor -25 - 9*r + 0*r + 0*r**3 - r**3 + 9*r**2 - 6*r.
-(r - 5)**2*(r + 1)
Let k(g) be the second derivative of -1/12*g**4 - 1/90*g**6 + 0 + 1/18*g**3 + 1/20*g**5 - g + 0*g**2. Determine a so that k(a) = 0.
0, 1
Let j(l) be the first derivative of -l**4/14 + 2*l**3/7 + l**2/7 - 6*l/7 + 5. Find s, given that j(s) = 0.
-1, 1, 3
Let r be 60/35 + (1 - (-5)/(-7)). Factor -2/9*z**4 + 2/9*z**5 + 4/9*z**r - 4/9*z**3 - 2/9 + 2/9*z.
2*(z - 1)**3*(z + 1)**2/9
Suppose -4*q - 16 = 0, 12 = -j - 4*q + 1. Solve -3*u - 6*u**2 - 7*u**2 - 4*u**2 + j*u**2 = 0.
-1/4, 0
Let d be (-6)/10 + 28/5. Let 15*j**d + 14*j + 6 + 44*j**2 + 12*j**3 - 36*j**4 - 14*j**2 - 41*j = 0. What is j?
-1, 2/5, 1
Let d(i) = 2*i**2 + 6*i + 2. Let n(x) = -1. Let b(k) = 2*d(k) - 4*n(k). Factor b(u).
4*(u + 1)*(u + 2)
Let a = 2 - 0. Factor a*m**2 - 2*m - 6*m**2 - 3 + 2*m**3 + 7.
2*(m - 2)*(m - 1)*(m + 1)
Let i(h) = 5*h**3 - 7*h - 2. Let c(a) = 14*a**3 - 20*a - 5. Let s = -9 + -2. Let t(m) = s*i(m) + 4*c(m). Factor t(u).
(u - 1)**2*(u + 2)
Let o be ((-2)/6)/(1/(-12)). Let -t - t**3 + t**4 + 2*t - t**4 - 4*t**o + 4*t**2 = 0. Calculate t.
-1, -1/4, 0, 1
Let w(x) be the first derivative of 7*x**3/3 + 2*x + 3. Let q(m) be the third derivative of -m**5/20 - m**3/6 - 2*m**2. Let a(v) = 9*q(v) + 4*w(v). Factor a(i).
(i - 1)*(i + 1)
Let q = -9 + 16. Let g be 18/21*q/5. Factor 2/5*y**2 + 4/5 - g*y.
2*(y - 2)*(y - 1)/5
Let v(q) be the second derivative of -3/4*q**4 - 2*q**3 + 2*q + 6*q**2 + 0. Factor v(k).
-3*(k + 2)*(3*k - 2)
Let y(r) be the third derivative of r**8/504 - r**7/105 + r**6/60 - r**5/90 + 14*r**2. Determine s, given that y(s) = 0.
0, 1
Let i(o) be the third derivative of -o**7/210 - o**6/24 - 2*o**5/15 - o**4/6 + 2*o**2. Let i(q) = 0. Calculate q.
-2, -1, 0
Let f be (-20)/(-6) - (-14 + 16). Suppose -2*w + 4/3*w**2 - f = 0. Calculate w.
-1/2, 2
Let d be (2 - 3/1)*0. Suppose 4*n + d*n = 0. Suppose n + 0*a**2 - 1/4*a**4 - 1/4*a**5 + 0*a**3 + 0*a = 0. Calculate a.
-1, 0
Solve 5*b - 286*b**2 - 282*b**2 - 5*b**3 - 2 + 570*b**2 = 0.
-1, 2/5, 1
Let m(o) = -o**2 - 6*o - 3. Let r be m(-5). Suppose r*j + j**2 - 1 + 4*j**2 - 6*j**2 = 0. What is j?
1
Let u(m) = -2*m**3 + 31*m**2 - 12*m - 43. Let b be u(15). Factor -2/7 - 6/7*o**b + 6/7*o + 2/7*o**3.
2*(o - 1)**3/7
Let o(u) = -2*u**3 + 18*u**2 + 45*u + 22. Let n(s) = 15*s**3 - 125*s**2 - 315*s - 155. Let b(j) = -3*n(j) - 20*o(j). Factor b(k).
-5*(k - 5)*(k + 1)**2
Let d(z) be the second derivative of -z**8/6720 - z**7/2520 + z**4/3 - 3*z. Let b(l) be the third derivative of d(l). Factor b(a).
-a**2*(a + 1)
Determine o, given that 0*o**5 - 45*o**2 + 33*o**2 - 3*o**5 - 3*o - 7*o**4 - 18*o**3 - 5*o**4 = 0.
-1, 0
Let u(m) = -3*m**5 - 18*m**4 + 24*m**3 - 21*m + 9. Let g(r) = -r**4 + r**3 - r**2 - r + 1. Let d(v) = 9*g(v) - u(v). Factor d(o).
3*o*(o - 1)**2*(o + 1)*(o + 4)
Suppose 98/13*i**3 + 448/13*i**2 + 232/13*i + 32/13 = 0. What is i?
-4, -2/7
Let l = 6 + -11. Let r = -5 - l. Determine o so that -1/3*o + r + o**2 - o**3 + 1/3*o**4 = 0.
0, 1
Let k(d) be the first derivative of -1/3*d**3 - 4*d + 3 - 2*d**2. Let k(x) = 0. Calculate x.
-2
Let z(q) be the first derivative of q**5/180 - q**4/36 - 3*q**2/2 - 2. Let f(b) be the second derivative of z(b). Factor f(p).
p*(p - 2)/3
Let n(z) be the second derivative of 1/10*z**4 + 8/15*z**2 - 2/5*z**3 + 0 - z. Determine b, given that n(b) = 0.
2/3, 4/3
Let g(i) be the first derivative of -i**3 - 3*i**2/2 + 14. Factor g(k).
-3*k*(k + 1)
Let p = 4 - -10. Suppose -p*d + 4*d = 0. Factor 2/3 + d*c**2 - c + 1/3*c**3.
(c - 1)**2*(c + 2)/3
Suppose u - 11 = -3*m, u - m = 2*m - 7. Suppose 0 = -3*x - 5 + u, 1 = 5*l - x. Factor 6*a**2 + 4*a**2 + 6*a - 4 + l*a.
2*(a + 1)*(5*a - 2)
Factor 2*c**3 + 3*c + 4*c**2 + 2*c**3 - 7*c - 4*c**4.
-4*c*(c - 1)**2*(c + 1)
Let w(k) be the third derivative of 11*k**7/2100 - 2*k**6/75 + k**5/20 - k**4/30 - k**3/2 + 4*k**2. Let j(z) be the first derivative of w(z). Factor j(v).
2*(v - 1)**2*(11*v - 2)/5
Suppose -1/4*j**4 - 1/2*j**3 + 1/4*j**2 + 1/2*j + 0 = 0. Calculate j.
-2, -1, 0, 1
Factor p**3 - 2*p**3 + p**2 - 2*p - 2*p + 6*p.
-p*(p - 2)*(p + 1)
Determine s, given that 57*s - 67*s - 4*s**5 + 7*s**4 + 14*s**3 + 3 - 3*s**2 + 2*s**4 - 9*s**2 = 0.
-1, 1/4, 1, 3
Let g(w) = -6*w - 9. Let c be g(10). Let h be 3/(-1) - c/9. Factor 4/3 - 10/3*d - h*d**2.
-2*(d + 1)*(7*d - 2)/3
Let i(t) be the second derivative of 3*t**5/100 + t**4/60 - t**3/10 - t**2/10 - 8*t. Find u such that i(u) = 0.
-1, -1/3, 1
Let x(h) be the third derivative of -2/15*h**7 + 0 - 13/240*h**5 - 1/8*h**6 - 1/21*h**8 - 1/96*h**4 + 0*h + 0*h**3 - 4*h**2. What is z in x(z) = 0?
-1, -1/4, 0
Let h(v) = -v**3 - 11*v. Let p = 3 + -5. Let x(j) = -j. Let u(m) = p*h(m) + 22*x(m). Suppose u(b) = 0. What is b?
0
Factor 16/7*d + 32/7 + 2/7*d**2.
2*(d + 4)**2/7
Let x(j) = 0*j**4 - 17*j**3 + 0 - j**4 + 18*j**2 + 6*j + 5. Let q(d) = 9*d**3 - 9*d**2 - 3*d - 3. Let g(p) = 11*q(p) + 6*x(p). Let g(i) = 0. What is i?
-1, 1/2, 1
Let c(x) be the first derivative of -2*x**4/5 - 32*x**3/15 + 19*x**2/5 - 2*x + 4. Let c(g) = 0. What is g?
-5, 1/2
Let u(r) = 7*r**3 - 7*r + 3. Let w(j) = -2*j + 6*j**3 + 0*j**2 + 0*j**2 - 4*j + 2. Let c(n) = 2*u(n) - 3*w(n). Factor c(g).
-4*g*(g - 1)*(g + 1)
Solve -3/4 - 3/4*i**2 + 3/2*i = 0.
1
Let k(q) = -q**2 - 4*q. Suppose -2 - 4 = 2*z. Let p be k(z). Let -h**p + 2*h**3 + 0*h**3 = 0. Calculate h.
0
Let a be 2/(-6) + 826/147 + -5. Find z such that -2/7 + 0*z + a*z**2 = 0.
-1, 1
Let n(z) = -z**3 - 6*z**2 - 4*z + 9. Let b = -23 + 18. Let c be n(b). Factor 0*r + 4/9*r**3 + 8/9*r**5 - 14/9*r**c + 0 + 2/9*r**2.
2*r**2*(r - 1)**2*(4*r + 1)/9
Let m(j) be the third derivative of j**8/84 + 2*j**7/105 - j**6/10 - j**5/15 + j**4/3 - 5*j**2. Solve m(g) = 0 for g.
-2, -1, 0, 1
Let u(r) be the third derivative of -r**6/80 + r**5/40 + r**4/4 - r**3 - 34*r**2. Suppose u(o) = 0. What is o?
-2, 1, 2
Let x = -8 - -8. Suppose -4*y + x = -5*a + 20, -a - 15 = 3*y. Factor a*r - 1/2*r**2 + 1/2*r**3 + 0.
r**2*(r - 1)/2
Let f(z) be the first derivative of z**4/10 + 8*z**3/15 + z**2/5 - 12*z/5 - 5. Factor f(y).
2*(y - 1)*(y + 2)*(y + 3)/5
Let q(n) be the first derivative of 1/3*n**6 + 6/5*n**5 + 2/3*n**3 + 3/2*n**4 + 0*n + 8 + 0*n**2. Suppose q(p) = 0. Calculate p.
-1, 0
Let p = 77/6 - 37/3. Factor -1/2*b**4 + 5/2*b**2 + p*b**5 - 3/2*b**3 + 0 - b.
b*(b - 1)**3*(b + 2)/2
Let v(u) = u - 5. Let r be v(10). Let f = 5 - r. Find d, given that 8/5*d + f - 24/5*d**2 + 2*d**3 = 0.
0, 2/5, 2
Let a be (0 - 0)/(4 + -6). Suppose a = 3*q - 2*q. Suppose 1/2*b + 1/4*b**2 + q = 0. What is b?
-2, 0
Let y(j) = -j - 2. Let p be y(-2). Suppose -3*l = -p*l - 15. Factor -2/5*a**l - 2/5*a**3 + 4/5*a**4 + 0 + 0*a**2 + 0*a.
-2*a**3*(a - 1)**2/5
Let v(a) 