*a - 17 - 2*a**4 - 8*a**3.
-2*a*(a + 1)**2*(a + 2)
Suppose z - 168 = -2*z. Let m be 44/z + 2/(-4). Factor 16/7*f - 8/7 - 10/7*f**2 + m*f**3.
2*(f - 2)**2*(f - 1)/7
Suppose 0 = 3*g + 8 - 23. Find b such that 10*b**3 + 39*b**3 + 0*b + b - g*b = 0.
-2/7, 0, 2/7
Let w(j) be the third derivative of 0*j**4 + 1/30*j**5 + 0*j - 1/3*j**3 - 8*j**2 + 0. Factor w(k).
2*(k - 1)*(k + 1)
Let t(r) = r + 1. Let h be t(1). Let l(n) be the second derivative of -3*n + 0 + h*n**3 - 7/12*n**4 + 2*n**2. Factor l(i).
-(i - 2)*(7*i + 2)
Let v = -6 - -11. Let x be (-6)/(-39) + 168/91. Factor 6*g**4 + 2*g**2 - 6*g**3 + 0*g**x - g**5 - g**v.
-2*g**2*(g - 1)**3
Let f(s) be the first derivative of 2*s**3 + 3*s**2/4 + 4. Factor f(g).
3*g*(4*g + 1)/2
Let m(s) be the second derivative of 3*s**5/20 + s**4/4 - s**3 + 15*s. Factor m(c).
3*c*(c - 1)*(c + 2)
Let n(w) = w**3 - 6*w**2 + 6*w - 5. Let k(m) = m**3 + 6*m**2 - 2*m - 7. Let v be k(-6). Let h be n(v). Solve 0*i**2 + h + 3/5*i**3 - 3/5*i = 0.
-1, 0, 1
Let d(z) = -5*z**3 + 4*z**2 + z + 9. Let l(f) = f**3 - f**2 - 2. Let u(i) = -2*d(i) - 9*l(i). Solve u(a) = 0.
-2, 0, 1
Let p(v) = -v**5 + v**4 - v**3 + v**2 + v. Let g(o) = 12*o**5 - 14*o**4 + 12*o**3 - 10*o**2 - 10*o. Let x(l) = -2*g(l) - 20*p(l). Factor x(i).
-4*i**3*(i - 1)**2
Let f(x) be the first derivative of -5*x**4/14 - 116*x**3/21 - 156*x**2/7 + 144*x/7 + 28. Let f(q) = 0. What is q?
-6, 2/5
Suppose -4*j + 23 = 5*t - 0*j, t + 7 = 5*j. Let l be (3 - 1)*(-44)/(-8). Find c, given that l*c + 12 + 2*c**2 - 4 - t*c = 0.
-2
Let -3*i**3 - 2*i**2 - 201*i**5 - 4*i**4 + 4*i + 6*i**2 + 200*i**5 = 0. What is i?
-2, -1, 0, 1
Factor -860 - 3*q**3 - 27*q + 2*q**3 + 9*q**2 + 887.
-(q - 3)**3
Let g = -7 - -11. Suppose -6*s = n - 2*s - 6, g*n - 2*s = 6. Factor b**4 - 3*b**5 - 2 - b**3 - 3*b**3 - 6*b**n + 7*b**4 + 7*b.
-(b - 1)**3*(b + 1)*(3*b - 2)
Let g = 173/266 - 3/38. Determine y, given that -g*y**3 + 0*y + 0 - 6/7*y**4 + 2/7*y**2 = 0.
-1, 0, 1/3
Let m(x) be the third derivative of x**5/80 - x**4/16 - 5*x**2. Solve m(n) = 0.
0, 2
Let o(r) be the third derivative of r**6/720 - r**5/120 - r**4/36 + 39*r**2. Factor o(q).
q*(q - 4)*(q + 1)/6
Let x(f) = -6*f - 11. Let g(u) = u + 2. Let w(j) = -11*g(j) - 2*x(j). Let c be w(2). Factor 0*k + 3*k**2 - c*k - 6*k**3 + 5*k**3.
-k*(k - 2)*(k - 1)
Let y(g) be the second derivative of -5*g**4/6 + g**3 + 2*g**2 + 6*g. Let z(i) = 9*i**2 - 6*i - 3. Let m(p) = -4*y(p) - 5*z(p). Find o, given that m(o) = 0.
1/5, 1
Let z(j) be the first derivative of -j**5/270 - j**4/108 - 3*j**2/2 - 2. Let b(s) be the second derivative of z(s). Solve b(x) = 0.
-1, 0
Suppose -1/2 + 5/2*q**2 + 2*q = 0. What is q?
-1, 1/5
Let c(w) be the third derivative of 2/21*w**3 + 0*w - 2*w**2 - 1/210*w**5 + 0 - 1/84*w**4. Factor c(y).
-2*(y - 1)*(y + 2)/7
Suppose 0 = 2*g + z - 3, -2 = g + 2*z + 1. Suppose -i + g*p + 8 = 0, -3*i - i - 3*p + 2 = 0. Find k such that 2*k**2 + 1 - 3*k**i + 0*k + k - k**3 = 0.
-1, 1
Let s = -7445/169 + 4558625/101907. Let u = 14/67 + s. Factor 8/9*m - u - 2/9*m**2.
-2*(m - 2)**2/9
Let x(o) be the first derivative of 4*o**5/5 + 2*o**4 - 16*o**3/3 - 4*o**2 + 12*o + 20. Solve x(b) = 0.
-3, -1, 1
Factor -5*m**2 - 2*m**2 + 4*m**2 + 165 - 153.
-3*(m - 2)*(m + 2)
Determine w so that 28*w + 3*w**4 - 60*w**2 + 52*w**3 - 5*w**4 - 4 - 13*w**4 - w**4 = 0.
1/4, 1
Let f(x) = -x - 2. Let m be f(-6). Suppose 0 = -4*c - m*l + 8, 3*c + 0*c - 2*l = 11. Suppose -1/4*u**c + 1/4 + 1/4*u - 1/4*u**2 = 0. What is u?
-1, 1
Let c = -1 + 4. Suppose -2*n - c*b - 6 = 0, 2*n + 4*b = -14 + 4. Factor -u - 6*u**2 - 2*u**4 + 6*u**3 + 0*u**2 + n*u.
-2*u*(u - 1)**3
Let i(r) be the first derivative of -r**4/14 + 3*r**2/7 - 4*r/7 + 2. Let i(n) = 0. What is n?
-2, 1
Let p(i) be the second derivative of -32*i**6/3 + 28*i**5 - 25*i**4 + 65*i**3/6 - 5*i**2/2 + 5*i. Factor p(g).
-5*(g - 1)*(4*g - 1)**3
Let s(y) be the second derivative of y**5/70 + y**4/42 - y**3/21 - y**2/7 + 13*y. Factor s(d).
2*(d - 1)*(d + 1)**2/7
Let h(c) be the first derivative of c**4/16 - c**3/6 - c**2/8 + c/2 - 9. Find l, given that h(l) = 0.
-1, 1, 2
Let h = -21 + 29. Let s = h - 2. Factor -s*x - 12*x**3 - 15*x**2 - 2*x**4 - x**4 + 0*x**4.
-3*x*(x + 1)**2*(x + 2)
Let b(w) be the third derivative of -w**7/210 + w**6/40 - w**5/60 - w**4/8 + w**3/3 - 2*w**2. Factor b(i).
-(i - 2)*(i - 1)**2*(i + 1)
Let t = 77 + -75. Factor -10/3*s**5 + 0*s + 0 - 2*s**4 + 4/3*s**3 + 0*s**t.
-2*s**3*(s + 1)*(5*s - 2)/3
Let n(q) = -13*q**3 - 8*q**2 + 5*q - 7. Let a(v) = 6*v**3 + 4*v**2 - 2*v + 3. Let f(b) = 7*a(b) + 3*n(b). Factor f(c).
c*(c + 1)*(3*c + 1)
Suppose 0*v - 3*v = -4*d + 27, 0 = -2*d - 4*v - 14. Suppose 0*t = d*t. Determine n so that 1/3*n**2 + 1/3*n**4 + t - 2/3*n**3 + 0*n = 0.
0, 1
Let q(t) = -t**2 + 5. Let o be q(0). Let f(c) be the third derivative of -1/480*c**6 + 0*c**4 + c**2 + 0*c**o + 0 + 0*c**3 + 0*c. Let f(s) = 0. Calculate s.
0
Suppose 11*g**2 + 6*g**2 - 2*g**3 + 13*g**2 + 32*g = 0. What is g?
-1, 0, 16
Suppose -4*y**2 - 1774*y - 2*y**3 + 1774*y = 0. Calculate y.
-2, 0
Suppose 4*f + 4*d + 8 = 0, 4*f = f + d + 10. Suppose -f*o + 5 = j, 0 = -3*j + 3. Let -c - 19/2*c**3 - 13/2*c**4 + 0 - 3/2*c**5 - 11/2*c**o = 0. Calculate c.
-2, -1, -1/3, 0
Let v(t) be the third derivative of 1/360*t**6 + 1/18*t**3 - 4*t**2 + 0*t + 1/60*t**5 + 1/24*t**4 + 0. Factor v(k).
(k + 1)**3/3
Let m(s) be the second derivative of -1/3*s**4 - 1/9*s**3 - 3/10*s**5 - 4/45*s**6 + 0 + 0*s**2 + s. Factor m(q).
-2*q*(q + 1)**2*(4*q + 1)/3
Let l(h) be the first derivative of 2/45*h**5 + 2*h**2 - 1/60*h**6 - 1/36*h**4 + 2 + 0*h**3 + 0*h. Let a(v) be the second derivative of l(v). Factor a(n).
-2*n*(n - 1)*(3*n - 1)/3
What is w in 4*w**2 - 23*w**3 - 27*w**3 + 52*w**3 + 0*w**2 = 0?
-2, 0
Let i = 738 - 6626/9. Factor -i*c - 2/9*c**2 - 32/9.
-2*(c + 4)**2/9
Let j(t) be the second derivative of 0*t**2 + 0 + 1/15*t**3 + 1/30*t**4 + 2*t. Determine n, given that j(n) = 0.
-1, 0
Let x(b) be the second derivative of b**4/12 + b**3 + 2*b**2 + 2*b. Let m be x(-6). Factor -8*o**3 + 12*o**2 - 2*o**4 + 2 - 11*o + 3*o + 4*o**m.
2*(o - 1)**4
Let v(d) be the third derivative of -d**7/1155 + d**6/132 - 2*d**5/165 - 15*d**2. Factor v(q).
-2*q**2*(q - 4)*(q - 1)/11
Let v(j) be the second derivative of 3*j**7/14 - 7*j**6/5 + 39*j**5/10 - 6*j**4 + 11*j**3/2 - 3*j**2 + 6*j. Factor v(d).
3*(d - 1)**4*(3*d - 2)
Let n(v) = 4*v**3 + 4*v**2 - 3*v. Let h(q) = 15*q**3 + 15*q**2 - 11*q. Let i be 2*(-3 - -2) + -46. Let p = i - -70. Let w(k) = p*n(k) - 6*h(k). Factor w(j).
-2*j**2*(j + 1)
Suppose -36/7*q**2 - 2*q**3 - 16/7 - 2/7*q**4 - 40/7*q = 0. What is q?
-2, -1
Let h = -631 - -3139/5. Let o = h - -69/20. Factor 1/2*x**2 + 1/4*x + 0 - o*x**5 - 1/2*x**4 + 0*x**3.
-x*(x - 1)*(x + 1)**3/4
What is p in 13*p**2 - 8 + 34*p - 6*p + 11*p**2 - 28*p**3 - 16*p**4 = 0?
-2, -1, 1/4, 1
Let i(g) = -g**4 - 14*g**3 - 16*g**2 - 3*g - 9. Let h(t) = t**3 + t**2 + 1. Let a(s) = 18*h(s) + 2*i(s). Suppose a(y) = 0. Calculate y.
-3, -1, 0
Suppose -2*l + 5 = 3. Let 3*u + l + 2*u**4 - 4*u**3 - 2 - 1 + u = 0. What is u?
-1, 1
Let x(m) be the first derivative of -5*m**3/3 + 30*m**2 - 180*m + 24. Factor x(s).
-5*(s - 6)**2
Let g(l) = 6*l**2 - 12*l + 14. Let o(i) = -5*i**2 + 12*i - 15. Let u(j) = 3*g(j) + 4*o(j). Determine m, given that u(m) = 0.
3
Factor 1/2*x**4 + 0*x + 0 - 1/2*x**2 + 0*x**3.
x**2*(x - 1)*(x + 1)/2
Let t(q) = -q**3 - q + 4. Let a be t(0). Factor 4*y**3 + 6 + 2*y**a - 6.
2*y**3*(y + 2)
Let h(c) be the first derivative of -c**8/560 + c**7/280 + c**6/60 + 4*c**3/3 + 2. Let p(z) be the third derivative of h(z). Factor p(r).
-3*r**2*(r - 2)*(r + 1)
Let u(h) = 45*h**2 + 100*h + 125. Let i(y) = -5*y**2 - 11*y - 14. Let v(j) = 35*i(j) + 4*u(j). Factor v(t).
5*(t + 1)*(t + 2)
Suppose 6 = 7*o - 8*o. Let k be 64/56*(-14)/o. Factor 7/3*i**3 + 2/3*i**2 + 0*i + k*i**4 + 0 + i**5.
i**2*(i + 1)**2*(3*i + 2)/3
Suppose 0*u + u + 12 = 0. Let s = u + 25/2. Solve 0*o - s*o**2 + 1/2 = 0 for o.
-1, 1
Let z = -79/11 - -325/33. Factor z + 2/3*j**2 - 8/3*j.
2*(j - 2)**2/3
Suppose 0 = -5*w - 5 + 20. Factor 3*b**3 + b**5 - 2*b + b**3 - w*b**5.
-2*b*(b - 1)**2*(b + 1)**2
Let p(a) be the first derivative of a**6/12 - a**5/10 - 5*a**4/8 + a**3/6 + 2*a**2 + 2*a - 16. Factor p(k).
(k - 2)**2*(k + 1)**3/2
Let q be ((-4)/7)/((-2)