a) = -2*a**2 + 12*a + 12. Let v(u) = k*d(u) - 12*q(u). Factor v(x).
-2*x**2
Suppose 2*y + 69 - 75 = 0. Suppose 2/3*i + 1/3*i**2 - 1/3*i**y + 0 = 0. Calculate i.
-1, 0, 2
Let t(l) be the first derivative of 0*l**2 - 5 + 2/7*l - 2/21*l**3. Factor t(q).
-2*(q - 1)*(q + 1)/7
Let y(f) be the second derivative of 0 + 1/33*f**3 - 1/110*f**5 + 5*f - 1/33*f**4 + 2/11*f**2. Find g such that y(g) = 0.
-2, -1, 1
Let a(d) be the first derivative of -7/10*d**4 - 4/15*d**3 + 7/5*d**2 - 3 + 4/5*d. Factor a(x).
-2*(x - 1)*(x + 1)*(7*x + 2)/5
Let s be (-22)/44*(-2 - -1). Factor -s*v + 3/2*v**2 - 1/2*v**4 + 1/2*v**3 - 1.
-(v - 2)*(v - 1)*(v + 1)**2/2
Find o, given that -o**2 + 0*o + o**4 - 1/3*o**3 + 1/3*o**5 + 0 = 0.
-3, -1, 0, 1
Let o(j) be the second derivative of 16*j**5/5 + 8*j**4 + 6*j**3 + 2*j**2 - j. Suppose o(a) = 0. Calculate a.
-1, -1/4
Let t = -55 + 391/7. Determine h, given that 6/7*h**3 + 2/7*h**4 + 2/7*h + t*h**2 + 0 = 0.
-1, 0
Let i = -125 - -2251/18. Let j(m) be the first derivative of -2/5*m**5 + 4 - i*m**6 - 3/2*m**2 - 16/9*m**3 - 7/6*m**4 - 2/3*m. Suppose j(q) = 0. What is q?
-2, -1
Factor -3 + 4 + 3*i**2 - 4 + 0*i**2 - 3*i + 3*i**3.
3*(i - 1)*(i + 1)**2
Let w be (-11)/(-7) - (-21)/49. Factor -2*k**2 - 4*k**3 + 0*k**2 + 2*k**3 + w + 2*k.
-2*(k - 1)*(k + 1)**2
Let a(j) be the first derivative of 9*j**7/70 + j**6/2 + 13*j**5/20 + j**4/4 - j**2 + 4. Let g(y) be the second derivative of a(y). Let g(d) = 0. Calculate d.
-1, -2/9, 0
Let s = 61/70 + -1/14. Let t be 1/(-2) - 1/(-2). Factor -2/5*v**4 + 0*v + t + s*v**2 + 2/5*v**3.
-2*v**2*(v - 2)*(v + 1)/5
Let w(f) be the second derivative of -f**9/5040 - 9*f**8/11200 - f**7/1400 + f**6/1200 + f**4/3 + 6*f. Let g(x) be the third derivative of w(x). Factor g(z).
-3*z*(z + 1)**2*(5*z - 1)/5
Suppose -x - 6 = 3*t - 2*t, 0 = -5*t + 3*x - 30. Let f = t - -6. Determine r, given that 2/3*r**3 + 0 + 2/9*r**2 + 2/3*r**4 + f*r + 2/9*r**5 = 0.
-1, 0
Suppose 0 = -3*q + 3 + 3. Suppose -o - q = -5. What is a in -8/3*a - 98/3*a**o - 56/3*a**2 + 0 = 0?
-2/7, 0
Let b(i) = -9*i**3 - 15*i**2 - 15*i - 9. Let u(y) = 26*y**3 + 44*y**2 + 44*y + 26. Let x(l) = -17*b(l) - 6*u(l). Suppose x(m) = 0. What is m?
-1
Let p(d) be the second derivative of -4*d - 1/72*d**4 + 1/120*d**5 + 0*d**3 + 0*d**2 + 0. Factor p(f).
f**2*(f - 1)/6
Suppose 2 + 2/3*z**3 - 2*z**2 - 2/3*z = 0. Calculate z.
-1, 1, 3
Let a(s) = 13*s**4 - 7*s**3 - 11*s**2 + 12*s + 7. Let w(m) = -6*m**4 + 3*m**3 + 6*m**2 - 6*m - 3. Let q(o) = 3*a(o) + 7*w(o). Determine r so that q(r) = 0.
-2, 0, 1
Let h(o) = o**4 - o**3 + o**2 - o. Let d = -26 - -14. Let p(j) = -3*j**4 - 13*j**3 + 2*j**2 - 4*j. Let t(v) = d*h(v) + 3*p(v). Factor t(y).
-3*y**2*(y + 1)*(7*y + 2)
Suppose -2*y - y + 2 = c, 6 = 3*c + 3*y. Solve 2/5 - 1/5*z**c - 1/5*z = 0.
-2, 1
Let p be (4/(-20))/((-4)/12). Determine g so that -g**2 - 1/5*g**5 + 0 + p*g**3 + 2/5*g + 1/5*g**4 = 0.
-2, 0, 1
Suppose 3*t - 5 = 1. Suppose 5*d = 3*l + 22, 5*d + 3*l - t - 26 = 0. Factor -6*u**2 - 2 - d*u + 0*u + 2*u**2 - u**3.
-(u + 1)**2*(u + 2)
Let k be ((-94)/5)/(8/(-10)). Let g = k + -23. Solve -g*u**2 + 0 + 1/2*u**4 + 1/2*u**3 - 1/2*u = 0.
-1, 0, 1
Find v, given that 1/2*v**4 - 1/2*v**2 + 1/2*v**5 + 0 + v - 3/2*v**3 = 0.
-2, -1, 0, 1
Let q = 34 - 74. Let k = q + 43. Find r such that 0 + 2*r - 3/2*r**4 + 13/2*r**k - 8*r**2 = 0.
0, 1/3, 2
Let a(x) be the second derivative of x**5/100 + x**4/20 + x**3/10 + x**2/10 - 12*x. Factor a(b).
(b + 1)**3/5
Let j be (-50)/425 + (-25)/(-68). Let c(k) be the second derivative of -j*k**2 + k + 0 + 1/24*k**4 + 1/80*k**5 - 1/24*k**3. Factor c(l).
(l - 1)*(l + 1)*(l + 2)/4
Factor 0*b + 0 + 0*b**2 + 4/7*b**3 - 2/7*b**5 - 2/7*b**4.
-2*b**3*(b - 1)*(b + 2)/7
Let f = 12 + -8. Let t = 224/3 + -74. Factor -1/3*z**5 + 0*z**f + t*z**3 + 0 + 0*z**2 - 1/3*z.
-z*(z - 1)**2*(z + 1)**2/3
Let y(t) = -t**4 - t**2 - 1. Let b(v) = v**4 + 4*v**3 + 13*v**2 + 6*v + 2. Let i(a) = b(a) + 2*y(a). Factor i(u).
-u*(u - 6)*(u + 1)**2
Solve -1/3*u**5 + 1/3*u**2 - 1/3*u**4 + 1/3*u**3 + 0 + 0*u = 0 for u.
-1, 0, 1
Let q(o) = 2*o**2 - 8*o - 6. Let x(l) = 2*l**2 - 7*l - 5. Let y(i) = 5*q(i) - 6*x(i). Factor y(d).
-2*d*(d - 1)
Let h(i) be the second derivative of i**7/189 + 2*i**6/135 - i**4/27 - i**3/27 + 9*i. Factor h(t).
2*t*(t - 1)*(t + 1)**3/9
Suppose 5*d + 10 = -0*j + 3*j, 16 = 4*j - 4*d. Factor 2*b**5 - 2*b + 11*b**3 - 4*b**j - 7*b**3.
-2*b*(b - 1)**2*(b + 1)**2
Let j(w) be the third derivative of w**7/525 + w**6/75 + 2*w**5/75 + 19*w**2. Determine o, given that j(o) = 0.
-2, 0
Let r(j) be the first derivative of 0*j**4 + 1/1800*j**6 + 2/3*j**3 + 0*j**2 - 1/600*j**5 - 3 + 0*j. Let i(h) be the third derivative of r(h). Factor i(u).
u*(u - 1)/5
Let c(o) be the second derivative of -o**7/28 - 3*o**6/20 - 3*o**5/20 + o**4/4 + 3*o**3/4 + 3*o**2/4 - 9*o. What is q in c(q) = 0?
-1, 1
Let y(s) be the first derivative of -s**6/320 - s**5/480 + s**4/96 - 4*s**2 - 6. Let g(h) be the second derivative of y(h). Suppose g(f) = 0. Calculate f.
-1, 0, 2/3
Let q(r) be the first derivative of -3*r**4/8 + 3*r**3/2 - 9*r**2/4 + 3*r/2 - 7. Factor q(i).
-3*(i - 1)**3/2
Let y be 0*1/3 + -2. Let s be 1/(2 + 3/y). Let 0*o + 2/3*o**3 - s*o**2 + 8/3 = 0. Calculate o.
-1, 2
Suppose -3*h - 3 = 21. Let y = h - -8. Factor -2/7*j + y - 2/7*j**2.
-2*j*(j + 1)/7
Let r(i) be the second derivative of 0 + i - 4/135*i**6 + 0*i**2 + 1/15*i**5 + 1/189*i**7 - 2/27*i**4 + 1/27*i**3. Suppose r(b) = 0. What is b?
0, 1
Suppose 2*z - 16 = 4. Factor -9*b**2 - 40*b**3 - 8 - 81*b**2 - 48*b - z*b**3.
-2*(b + 1)*(5*b + 2)**2
Factor 0 + 3*m + 6*m**3 - 15/2*m**2 - 3/2*m**4.
-3*m*(m - 2)*(m - 1)**2/2
Let j(l) = 5*l**2 + 59*l + 58. Let m be j(-1). Suppose -1/4*s**5 + s**m + 5/4*s - s**3 - 1/2*s**2 - 1/2 = 0. Calculate s.
-1, 1, 2
Let y(u) be the first derivative of 6/7*u - 3/14*u**2 - 1/7*u**3 + 3. Determine s, given that y(s) = 0.
-2, 1
Suppose -2*k - 7 = -15. Let t(q) be the first derivative of 8/3*q**5 + 8/9*q**6 + 10/9*q**3 - 1 + 0*q + 11/4*q**k + 1/6*q**2. Factor t(d).
d*(d + 1)**2*(4*d + 1)**2/3
Let g(i) = i**2 + i - 7. Let t be g(-4). Let k(w) = w**3 - 6*w**2 + 6*w - 5. Let f be k(t). Factor -12/5*n**2 + f - 2/5*n - 18/5*n**3.
-2*n*(3*n + 1)**2/5
Let c(p) = 2*p - 6. Let t be c(5). Let s(r) = -5*r**3 - 4*r - 9*r**2 + t*r**3 + 3*r**2 + 5*r. Let j(i) = -i**2. Let m(h) = -6*j(h) + s(h). Solve m(w) = 0.
-1, 0, 1
Let j(r) be the first derivative of -r**5/40 + r**4/24 + r**3/6 - r + 1. Let z(u) be the first derivative of j(u). Factor z(c).
-c*(c - 2)*(c + 1)/2
Let c(d) be the third derivative of d**5/20 + d**4/8 - d**3 + 8*d**2. Factor c(t).
3*(t - 1)*(t + 2)
Let m be 3 + -10 - 76/(-10). Determine a so that m*a + 2/5 + 1/5*a**2 = 0.
-2, -1
Suppose 32 - 24 = 4*g. Let r(w) be the first derivative of w**4 - 1/2*w**2 - g + 0*w + w**3. Determine u, given that r(u) = 0.
-1, 0, 1/4
Let a(h) = -4*h**2 + 28*h + 22. Let j be -9 - (-1)/(-3)*3. Let m(l) = -l**2 + 9*l + 7. Let k(d) = j*m(d) + 3*a(d). Factor k(x).
-2*(x + 1)*(x + 2)
Let c(m) be the second derivative of 0 + 3*m + 1/24*m**4 - 1/2*m**2 - 1/12*m**3. Factor c(i).
(i - 2)*(i + 1)/2
Let g(f) = -f**2 + 6*f. Let a be g(4). Let t be (-4)/16 + 106/a. Factor y**5 - t*y + 13*y.
y**5
Let w(m) be the first derivative of 8*m**3/9 + 3*m**2 + 4*m/3 - 4. Factor w(d).
2*(d + 2)*(4*d + 1)/3
Suppose -5*n = -0*n - 10. Solve t**4 + 2 - 3*t + 5*t**3 - n*t - 9*t**2 + 6*t**4 = 0 for t.
-1, 2/7, 1
Find b such that -b**3 + 51*b**3 + 42*b + 5 - 13*b**4 + 5*b**5 + 38*b**4 + 50*b**2 - 17*b = 0.
-1
Solve 42*v**5 + v**4 - 2*v**4 + 3*v**4 - 40*v**5 = 0 for v.
-1, 0
Factor -15*p**3 + 20 + 36*p - 3*p**2 - 28*p + 32*p + 8*p**2.
-5*(p - 2)*(p + 1)*(3*p + 2)
Let i(u) = 5*u**3 - 11*u**2 + 11*u. Let m(j) = -9*j**3 + 21*j**2 - 21*j. Let n(t) = t**2 + 6*t - 10. Let x be n(-7). Let w(z) = x*m(z) - 5*i(z). Factor w(p).
2*p*(p - 2)**2
Let m(q) = 3*q**2 - q. Let u be m(1). Factor -y**3 + y + 5*y**3 - 8*y**2 + y + u*y.
4*y*(y - 1)**2
Suppose 0 = 105*d - 106*d + 4. Determine x so that 2/3*x**2 + 1/6*x**3 + 0 - 1/6*x - 2/3*x**d = 0.
-1, 0, 1/4, 1
Let q = 55/6 - 26/3. Factor x**3 - 1/2*x**4 - 1/2 + x**2 - q*x**5 - 1/2*x.
-(x - 1)**2*(x + 1)**3/2
Let x(s) be the second derivative of -6*s - 1/15*s**3 - 1/15*s**6 + 2/5*s**2 + 0 - 3/10*s**4 + 13/50*s**5. Let x(t) = 0. What