) - 2*z(u). Factor i(v).
v*(v - 3)**2*(v + 1)**2
Let z(s) be the second derivative of -s**4/18 + 4*s**2/3 + 10*s. Factor z(m).
-2*(m - 2)*(m + 2)/3
Suppose -26 = -4*g - g + 3*y, 0 = g - 4*y - 12. Let m be 1 + (1 + g - 4). What is o in 2*o**4 - 2*o**m - 4/3*o + 4/3*o**3 + 0 = 0?
-1, -2/3, 0, 1
Let q(v) be the first derivative of v**6/20 - 3*v**5/20 + v**4/8 + 4*v - 7. Let m(s) be the first derivative of q(s). Determine c so that m(c) = 0.
0, 1
Let m(i) be the second derivative of i**6/18 - i**5/30 - 5*i**4/36 + i**3/9 - i. Solve m(b) = 0.
-1, 0, 2/5, 1
Let q(w) = -w + 15. Let j be q(11). Suppose 2*n - 4 = -4*c, -3*c - n = 4*n + j. Determine d, given that 2/5*d + 0*d**c + 0 - 2/5*d**3 = 0.
-1, 0, 1
Let z = 41/105 + 17/21. Let -6/5*d - 2/5*d**2 + z*d**3 + 4/5 - 2/5*d**4 = 0. What is d?
-1, 1, 2
Let x(h) be the first derivative of 5*h**3 - 20*h**2 + 20*h + 11. Factor x(d).
5*(d - 2)*(3*d - 2)
Let u = 3 + -1. Factor 4*o**2 + 0 - o**u + 0 + o**3 + 2*o.
o*(o + 1)*(o + 2)
Suppose -3*r + o - 77 = -8*r, 73 = 5*r - o. Let c = -11 + r. Factor 8*d**2 + 0*d - c*d**2 - d.
d*(4*d - 1)
Suppose -p + 3*g = -9, -8 + 4 = g. Let c be p + 0 + (-13)/(-4). Solve c*k + 1/2 - 1/4*k**2 = 0.
-1, 2
Suppose -4*i**2 - 4*i**3 + 8*i + 8 + 2 - 10 = 0. Calculate i.
-2, 0, 1
Let b(t) be the third derivative of -t**6/420 + t**4/28 + 2*t**3/21 - 38*t**2. Solve b(j) = 0 for j.
-1, 2
Let q = 16 + -4. Let b be 16/q + (-4)/6. Factor 0 - 1/3*o**2 + b*o**3 - 1/3*o**4 + 0*o.
-o**2*(o - 1)**2/3
Let m = -71/5 - -299/20. Factor -m*b**2 + 3/4*b + 3/4 - 3/4*b**3.
-3*(b - 1)*(b + 1)**2/4
Determine b, given that 4/5*b**3 + 0 + 32/5*b**2 + 28/5*b = 0.
-7, -1, 0
Let x be 2/11 - (-216)/22. Let q = x + -7. Factor -2/3*g**2 + 2/3*g**q - 2/3*g + 2/3.
2*(g - 1)**2*(g + 1)/3
Let y(b) be the second derivative of -b**5/5 - b**4/3 + 2*b**3/3 + 2*b**2 - 9*b. Factor y(t).
-4*(t - 1)*(t + 1)**2
Let c = -45926/21 - -2186. Let l = 9/7 + c. Factor 0 - 1/3*o**2 - l*o.
-o*(o + 1)/3
Let i(w) = -w**2 - 1. Let d(v) = 2*v**3 - 16*v**2 - 10. Let f(g) = d(g) - 10*i(g). Factor f(x).
2*x**2*(x - 3)
Let i(p) be the first derivative of p**6/6 - p**4/2 + p**2/2 + 5. Factor i(o).
o*(o - 1)**2*(o + 1)**2
Let p(l) be the second derivative of 1/40*l**5 - 1/56*l**7 + 3*l + 1/24*l**3 - 1/12*l**4 + 0*l**2 + 1/30*l**6 + 0. Suppose p(g) = 0. Calculate g.
-1, 0, 1/3, 1
Let u be (-7)/(-5) - (-6)/10. Suppose -u*i = q - 1, 5*i - 2 - 8 = -5*q. Suppose 3*a**2 - 4/3 - a**4 + 0*a + 2/3*a**q = 0. What is a?
-1, 2/3, 2
Let y(r) be the first derivative of 0*r - 1/18*r**4 + 0*r**2 + 2/27*r**3 + 2. Suppose y(l) = 0. What is l?
0, 1
Suppose -4*v + 12 = -v. Suppose 0 = 4*a - 5*d, 2*a - v*d = 6*a. Determine h, given that 0*h**4 + 0 + a*h**2 - 1/5*h**5 + 0*h**3 + 0*h = 0.
0
Let n be (3378/78)/(126/4). Let t = n + -24/91. Let -4/9*w**2 + 2/3*w**4 - t*w - 2/9 - 2*w**5 + 28/9*w**3 = 0. Calculate w.
-1, -1/3, 1
Let i(r) = 37*r**2 - 4*r + 7. Let x be i(3). Let o = -2292/7 + x. Factor -2/7*g**2 + o - 2/7*g.
-2*(g - 1)*(g + 2)/7
Let w(o) be the first derivative of o**3/9 + 6. Solve w(s) = 0 for s.
0
Suppose 6*l = 11*l - 20. Let n(k) = -13*k**3 + k. Let a be n(-1). Factor 3*y**l + 12*y**3 - 6*y**2 + 3 - a*y**3.
3*(y - 1)**2*(y + 1)**2
Let i = -6 + 8. Factor 1/3*p**i - 1/3*p + 0.
p*(p - 1)/3
Let m(f) be the third derivative of 2*f**7/315 - f**6/90 - 2*f**5/15 + 2*f**4/9 + 16*f**3/9 - 3*f**2. Factor m(n).
4*(n - 2)**2*(n + 1)*(n + 2)/3
Let x(w) be the second derivative of -w**4/24 + w**3/4 - w**2/2 - 35*w. Factor x(c).
-(c - 2)*(c - 1)/2
Let b(z) = -2*z**5 + 2*z**4 + 4*z**3 - 4*z**2 + 2*z - 2. Let n(q) = -q**5 + q**4 + 4*q**3 - 4*q**2 + 3*q - 3. Let k(f) = -3*b(f) + 2*n(f). Factor k(h).
4*h**2*(h - 1)**2*(h + 1)
What is x in 8*x**2 - x**4 - 5*x**2 - 2*x**4 = 0?
-1, 0, 1
Let o = 14 - 8. Suppose 2 = -5*f + 3*m, -f + 2*m - 18 = -o*f. Factor 0 + 0*u - 1/2*u**f + 1/2*u**3.
u**2*(u - 1)/2
Let z(q) be the second derivative of q**8/504 + q**7/105 + q**6/60 + q**5/90 + 2*q**2 - 4*q. Let r(a) be the first derivative of z(a). Factor r(l).
2*l**2*(l + 1)**3/3
Let r = 5 + 4. Suppose -2*k + 1 = -r. Factor d**3 - 2*d**k + 3*d - 3*d + 3*d**5 - 2*d**4.
d**3*(d - 1)**2
Let z(n) = 6*n - n + 0*n - 2*n**4 - 3*n**3 + 5. Let j(f) = f**4 + f**3 - 2*f - 2. Let v(i) = 5*j(i) + 2*z(i). Let v(l) = 0. Calculate l.
0, 1
Let l(q) be the third derivative of -1/540*q**6 - 1/270*q**5 + 0*q - 3*q**2 + 0 + 0*q**4 + 0*q**3. Factor l(g).
-2*g**2*(g + 1)/9
Let z(p) be the first derivative of p**6 - 3*p**5/5 + 2. Factor z(w).
3*w**4*(2*w - 1)
Let a(o) be the first derivative of 1/12*o**3 + 4 - 1/240*o**5 + 1/96*o**4 + 2*o**2 + 0*o. Let b(s) be the second derivative of a(s). Factor b(v).
-(v - 2)*(v + 1)/4
Let t(k) be the second derivative of k**4/24 - k**3/3 + 3*k**2/4 - 4*k. Factor t(w).
(w - 3)*(w - 1)/2
Suppose 0 = -3*b - 2*b + 10. Suppose -b*n - n = -9. Factor 4*w**3 - w**4 + w - 2 - 5*w + n*w**4.
2*(w - 1)*(w + 1)**3
Let s(q) be the first derivative of q**7/210 - q**2 + 3. Let n(g) be the second derivative of s(g). Solve n(z) = 0.
0
Suppose 0 = -3*f + 6 + 3. Let p be (7 - 10)*(-5)/f. Factor 2/7*d - 4/7*d**4 + 4/7*d**2 - 2/7*d**p + 0*d**3 + 0.
-2*d*(d - 1)*(d + 1)**3/7
Let g(y) be the second derivative of -49*y**6/30 - 28*y**5/5 - 13*y**4/2 - 8*y**3/3 - y**2/2 - 35*y. Factor g(b).
-(b + 1)**2*(7*b + 1)**2
Suppose 3/2 + 1/2*f**2 + 2*f = 0. Calculate f.
-3, -1
Factor -4*q**2 - 8*q**3 + 2*q**3 - 2*q**4 + 25*q - 25*q.
-2*q**2*(q + 1)*(q + 2)
Let t(v) be the first derivative of -2*v**3/27 + 2*v/9 + 1. Factor t(p).
-2*(p - 1)*(p + 1)/9
Let x(f) be the second derivative of -f**5/45 + f**4/18 - f**3/27 + 4*f. Let x(d) = 0. Calculate d.
0, 1/2, 1
Let c(q) be the second derivative of 0*q**3 + 0 + 1/6*q**4 + 2*q + 0*q**2. What is u in c(u) = 0?
0
Let y(r) = 5*r**3 + 4*r**2 + 3*r + 4. Let p(d) = 6*d**3 + 5*d**2 + 4*d + 5. Let v(w) = 4*p(w) - 5*y(w). Factor v(o).
-o*(o - 1)*(o + 1)
Let k(i) be the first derivative of -1/15*i**3 - 3/5*i + 3 - 2/5*i**2. Factor k(w).
-(w + 1)*(w + 3)/5
Suppose 10 = -2*w - 2. Let g(f) = f**2 + 5*f - 2. Let x be g(w). What is n in 0*n**2 + 0 + 0*n - 2/7*n**x + 0*n**3 = 0?
0
Let f(j) be the second derivative of -1/42*j**4 - 2/21*j**3 - 1/7*j**2 + 0 - 3*j. Factor f(b).
-2*(b + 1)**2/7
Let p(i) be the third derivative of 7*i**8/96 + i**7/6 - i**6/80 - i**5/6 + i**4/12 + 2*i**2 - 1. Factor p(k).
k*(k + 1)**2*(7*k - 2)**2/2
Let k be (-1 - 3)*(-2)/4. Let p be ((-4)/3)/(k/(-3)). Factor 7*y - y**3 + 2*y**4 - 3*y**3 - 3*y - p*y**2.
2*y*(y - 2)*(y - 1)*(y + 1)
Let p = -5 + 1. Let k = p + 6. Factor 0*g**4 + k*g**3 - g**5 + 4*g**4 - 3*g**4.
-g**3*(g - 2)*(g + 1)
Let p(c) be the second derivative of c**6/90 - c**4/12 - c**3/9 - 4*c. Suppose p(w) = 0. What is w?
-1, 0, 2
Let u(p) = p**2 - 6*p + 1. Let z be u(4). Let k = z - -9. Factor -1/4*x**k + 1/2 + 1/4*x.
-(x - 2)*(x + 1)/4
Let y(u) be the second derivative of -u**5/20 + u**4/12 + u**3/6 - u**2/2 - 10*u + 1. Factor y(b).
-(b - 1)**2*(b + 1)
Suppose -212/5*c**2 - 48/5 - 376/5*c**3 + 256/5*c + 28*c**4 = 0. Calculate c.
-1, 2/7, 2/5, 3
Let b = -4/17 + 62/119. Let -4/7 - 2/7*a + b*a**2 = 0. What is a?
-1, 2
Let v(g) be the second derivative of -g**4/60 - g**3/30 + 6*g**2/5 + 46*g. Factor v(r).
-(r - 3)*(r + 4)/5
Let w = 48/5 + -9/5. Factor 36/5*x**2 + 18/5*x**4 + 0 + 12/5*x + w*x**3 + 3/5*x**5.
3*x*(x + 1)**2*(x + 2)**2/5
Let x(d) = 2*d**2 - 3*d - 3. Let v be x(3). Suppose v = r + 4. Suppose -3*f + f + 0*f + r*f**3 = 0. What is f?
-1, 0, 1
Let t(w) = 2*w**3 - w**2 + w + 1. Let j be (-4)/(-3)*(-204)/8. Let x(d) = -11*d**3 + 5*d**2 - 6*d - 5. Let l(h) = j*t(h) - 6*x(h). Factor l(s).
-2*(s - 2)*(s - 1)*(s + 1)
Let x be (3 - -1)/(-4)*-2. Let z(s) be the third derivative of 0*s + 2*s**x + 0 + 1/21*s**3 - 1/210*s**6 - 1/735*s**7 + 1/42*s**4 + 0*s**5. Factor z(g).
-2*(g - 1)*(g + 1)**3/7
Suppose -4*x = -2*x. Let p be 4 + x + -1 + -3. Determine t so that 1/4*t**2 + 1/4*t + p = 0.
-1, 0
Let h be ((-2)/3)/2 - -1. Suppose -z - 1 + 4 = 0. Factor -2/3*p + 0 - 2/3*p**2 + 2/3*p**z + h*p**4.
2*p*(p - 1)*(p + 1)**2/3
Suppose -26*t + 12 = -66. Suppose 10/11*o + 4/11*o**2 - 10/11*o**t - 4/11 = 0. Calculate o.
-1, 2/5, 1
Let c(u) be the second derivative of u**5/10 - u**4/2 + 2*u**3/3 - 7*u. Factor c(a).
2*a*(a - 2)*(a - 1)
Let y = -198 + 325. Let t = -885/7