
4*(i - 1)*(i + 1)*(4*i + 1)
Let g be (2 + -2)/(0 + 1). Let m(o) be the second derivative of -13/80*o**5 + 0*o**3 + 1/24*o**4 + o + g*o**2 + 0 + 1/6*o**6. Factor m(q).
q**2*(4*q - 1)*(5*q - 2)/4
Let a(h) = -12*h**2 - 48*h + 60. Let k(c) = -3*c**2 - 12*c + 15. Let z(v) = -2*a(v) + 9*k(v). Factor z(x).
-3*(x - 1)*(x + 5)
Let f be 2 + -1 + (4 - 3). Solve -14*r**3 + 33*r**4 - 9*r + 18*r + 0*r**4 + 12*r**5 - 7*r**3 - 33*r**f = 0 for r.
-3, -1, 0, 1/4, 1
Let f(p) be the second derivative of 6*p**7/7 + 5*p**6/2 + 39*p**5/20 - p**4/4 - p**3/2 - 6*p. Find m such that f(m) = 0.
-1, -1/3, 0, 1/4
Let d = 873/20 + -217/5. Factor 1/4*g**2 - 1/2*g + d.
(g - 1)**2/4
Let h(x) be the first derivative of -2*x**3/27 + x**2/9 + 4*x/9 + 7. Factor h(a).
-2*(a - 2)*(a + 1)/9
Let d(h) = -22*h**3 + 3*h**2 + 2*h - 1. Let b be d(2). Let t = b + 809/5. Let 0 + 0*v + 0*v**2 + 14/5*v**4 + t*v**3 = 0. Calculate v.
-2/7, 0
Let f(p) be the first derivative of 1/5*p**5 + 1/3*p**6 + 9 + 0*p**2 + 0*p**4 + 0*p**3 + 0*p. Factor f(b).
b**4*(2*b + 1)
Let v(h) be the first derivative of -h**6/12 - 7*h**5/30 - h**4/6 + h**2/2 - 6. Let s(y) be the second derivative of v(y). Factor s(w).
-2*w*(w + 1)*(5*w + 2)
Let v(n) be the first derivative of n**7/280 - n**5/40 - n**3 + 5. Let r(o) be the third derivative of v(o). Determine x, given that r(x) = 0.
-1, 0, 1
Let x(u) be the first derivative of u**6/8 + 3*u**5/20 - 3*u**4/16 - u**3/4 - 22. Factor x(y).
3*y**2*(y - 1)*(y + 1)**2/4
Let p(o) be the first derivative of -4*o**3 + 6 + 4/5*o**5 + o**4 - 10*o**2 - 8*o. What is z in p(z) = 0?
-1, 2
Suppose -6*n + 5 = -19. Let -2/13*h**2 - 4/13*h**3 - 2/13*h**n + 0 + 0*h = 0. Calculate h.
-1, 0
Let c(k) be the first derivative of k**5/10 + k**4/4 - k**2/2 - k/2 - 1. Factor c(x).
(x - 1)*(x + 1)**3/2
Let j(k) be the second derivative of -k**2 - 1/3*k**3 + 2*k - 1/30*k**5 + 0 + 1/6*k**4. Let q(s) be the first derivative of j(s). Factor q(t).
-2*(t - 1)**2
Let r(i) = -i**3 - 9*i**2 - 9*i - 1. Let a be r(-8). Solve f + 4*f**2 + 2*f**5 + 5*f**3 - 4*f**4 - a*f**3 - f = 0.
-1, 0, 1, 2
Let s(k) be the second derivative of k**5/60 - k**4/18 + k. Factor s(b).
b**2*(b - 2)/3
Let l(y) be the first derivative of 3*y**5/35 - 3*y**4/14 + y**3/7 - 5. Factor l(z).
3*z**2*(z - 1)**2/7
Let p(x) be the third derivative of -3*x**7/280 + x**6/20 - x**5/10 - x**4/24 + 4*x**2. Let z(h) be the second derivative of p(h). Factor z(q).
-3*(3*q - 2)**2
Let u(c) = -5*c**5 - 10*c**4 - 9*c**3 - 16*c**2 - 4*c. Let r(p) = -p**5 - p**4 + p**3 - p**2. Let v(k) = 4*r(k) - u(k). Solve v(z) = 0.
-2, -1, 0
Factor 9*m**2 + 27 - 12*m**2 + 6*m**2 + 18*m.
3*(m + 3)**2
Let r(s) = -4*s**2 - 20*s - 27. Let d(j) = -4*j**2 - 20*j - 28. Let b(c) = 3*d(c) - 4*r(c). Factor b(p).
4*(p + 2)*(p + 3)
Let c(o) be the second derivative of o**6/90 + o**5/20 - 2*o**3/9 - 4*o. Find m, given that c(m) = 0.
-2, 0, 1
Let g(c) be the third derivative of c**5/80 - c**3/8 - 6*c**2. Suppose g(j) = 0. Calculate j.
-1, 1
Let j be -6*2/6*1. Let l be 6/14 + j/(-28). Let 3/4*p**2 + 0 + l*p + 1/4*p**3 = 0. Calculate p.
-2, -1, 0
Let 0 - 2/11*w**4 + 2/11*w**2 + 2/11*w**5 + 0*w - 2/11*w**3 = 0. What is w?
-1, 0, 1
Factor -10*u**2 - 19*u**2 + 20*u**2 - 6*u**3 - 4*u**4 + 3*u**4.
-u**2*(u + 3)**2
Let u(k) = -k**3 + k**2 - k - 1. Let b be u(-1). Factor -f + 2*f**b + 0*f**3 + f**3 - 2*f**2.
f*(f - 1)*(f + 1)
Let f(s) be the second derivative of s**9/2016 - 3*s**7/560 - s**6/120 - s**3/3 + 2*s. Let g(n) be the second derivative of f(n). Factor g(i).
3*i**2*(i - 2)*(i + 1)**2/2
What is t in 1/2*t**2 + 0*t + 0 = 0?
0
Suppose 0 = 33*l - 54 - 45. Find g such that 1/3*g**4 + 2*g**l + 4*g**2 + 8/3*g + 0 = 0.
-2, 0
Let t(f) be the first derivative of f**4 + 8*f**3/3 + 2*f**2 + 4. Factor t(l).
4*l*(l + 1)**2
Let p(r) be the second derivative of r**6/90 + r**5/30 - r**4/12 - 16*r. Solve p(a) = 0.
-3, 0, 1
Factor -4*m**3 + 6*m**3 - 7*m**3 + 20 - 5*m**2 - 10*m**2.
-5*(m - 1)*(m + 2)**2
Factor -8/7*i**2 + 2/7*i + 2/7*i**3 + 12/7.
2*(i - 3)*(i - 2)*(i + 1)/7
Let w = 137/252 - -1/36. Factor -18/7*o**2 + 26/7*o**3 - 2/7*o + w - 10/7*o**4.
-2*(o - 1)**3*(5*o + 2)/7
Find q, given that q + 2*q**2 + 0*q + 4*q**2 - 7*q**2 = 0.
0, 1
Let l be 1*-8*-4*(-4)/(-32). Factor -15/4*r**2 - 1/2*r**3 + 5/4*r**4 - 1 + l*r.
(r - 1)**2*(r + 2)*(5*r - 2)/4
Let k(p) be the first derivative of 3*p**5/25 - 9*p**4/20 + p**3/5 + 9*p**2/10 - 6*p/5 - 2. Find o such that k(o) = 0.
-1, 1, 2
Let j(x) be the second derivative of -x**4/54 + 2*x**3/27 - x**2/9 + 7*x. Factor j(a).
-2*(a - 1)**2/9
Let s = -61/10 + 31/5. Let b(m) be the first derivative of 1/6*m**3 + 1/8*m**4 + 0*m + 0*m**2 - 1/12*m**6 - s*m**5 + 1. Determine c so that b(c) = 0.
-1, 0, 1
Let g = 1 + -2. Let w = g - -3. Factor -2 - 10*i - 20*i**2 - w*i**5 - 10*i**4 - 5*i**3 - 10*i**3 - 5*i**3.
-2*(i + 1)**5
Let m = -7 + 11. Let v(l) be the first derivative of 1/7*l**2 + 2/7*l - 2/21*l**3 + 1 - 1/14*l**m. Let v(u) = 0. What is u?
-1, 1
Let g be 64/(-80)*(30/(-4))/3. Factor 1/2 - 1/4*b - 2*b**g - 5/4*b**3.
-(b + 1)**2*(5*b - 2)/4
Let z(s) = -s**2 + 2*s. Let f be z(0). Factor 2/9*c**2 + f - 4/9*c.
2*c*(c - 2)/9
Factor 3/4*g**4 - 3/4 + 0*g**2 + 3/2*g**3 - 3/2*g.
3*(g - 1)*(g + 1)**3/4
Let b be 27/(-12)*8/3. Let c be 22/8 - b/24. Factor 1/2*d**3 + 6*d - 4 - c*d**2.
(d - 2)**3/2
Let c be (4/(-5))/((-1)/5). Suppose -d = -c*d. Determine z, given that 0*z**2 + d*z - 1/2*z**3 + 0 - 1/2*z**4 = 0.
-1, 0
Let x(f) be the first derivative of f**6/21 - 4*f**5/35 - f**4/7 + 16*f**3/21 - f**2 + 4*f/7 - 3. Factor x(u).
2*(u - 1)**4*(u + 2)/7
Let a(p) be the third derivative of -1/240*p**6 + 0*p**3 + 0*p + 0 - p**2 + 1/96*p**4 + 1/240*p**5. Factor a(j).
-j*(j - 1)*(2*j + 1)/4
Suppose 2*c + 22 = 4*y, 9 = -2*y + 5*c - 0*c. Factor -3*p**3 + 2 + p**3 - 6*p + y*p**2 + 2 - 4*p.
-2*(p - 2)*(p - 1)**2
Suppose 0 + 1/4*n**4 + 0*n**2 + 0*n - 1/4*n**3 = 0. What is n?
0, 1
Let f = 7 + -5. Let a(g) = 3*g**5 + 2*g**4 - 3*g**3 + 2*g**2 + 2. Let k(q) = 7*q**5 + 5*q**4 - 7*q**3 + 5*q**2 + 5. Let d(z) = f*k(z) - 5*a(z). Factor d(v).
-v**3*(v - 1)*(v + 1)
Let v(a) be the third derivative of -a**6/540 - a**5/90 - a**4/54 - 4*a**2. Find h such that v(h) = 0.
-2, -1, 0
Let v = 11 + -8. Let i(f) be the second derivative of 1/70*f**5 + 0*f**2 + 1/42*f**4 + f + 0 - 1/21*f**v - 1/105*f**6. Determine x, given that i(x) = 0.
-1, 0, 1
Let d(g) be the third derivative of -g**6/420 - g**5/210 + 2*g**2. Factor d(o).
-2*o**2*(o + 1)/7
Let l(i) be the third derivative of -1/360*i**6 + 1/18*i**3 + 0 - 1/180*i**5 + 0*i - 3*i**2 + 1/72*i**4. Solve l(v) = 0.
-1, 1
Let x(j) = j**3 + 1 - 1 + j**2. Suppose -8 = -b + 5*b. Let n(h) = -12*h**3 - 11*h**2. Let o(v) = b*n(v) - 22*x(v). Let o(m) = 0. Calculate m.
0
Solve -6*n**3 + 2*n**3 + 4*n**2 + 2*n**3 - 2*n**3 = 0 for n.
0, 1
Let -2/3*o**3 + 0*o - 2*o**2 + 8/3 = 0. Calculate o.
-2, 1
Let a = 34 - 31. What is d in 3/2*d**4 - d + 0 - d**a - 7/2*d**2 = 0?
-1, -1/3, 0, 2
Factor -5*l**2 + 33*l - 23*l - 5*l**3 + 10*l**2.
-5*l*(l - 2)*(l + 1)
Let y be 4 - (-1 + 12/4). Suppose -5 = -y*i - 1. Let 2*b**2 + 2/3*b**3 + i*b + 2/3 = 0. Calculate b.
-1
Let h(m) = -5*m**2 + 13*m - 8. Let y(q) = -10*q**2 + 25*q - 15. Let o(t) = -5*h(t) + 3*y(t). Solve o(r) = 0.
1
Factor 0 + 0*k - 5*k**2 + 2*k**3 + 6*k - 2 - k**2.
2*(k - 1)**3
Let g(u) be the second derivative of -u**7/56 - u**6/20 + u**4/8 + u**3/8 + 9*u. Determine m so that g(m) = 0.
-1, 0, 1
Let w(t) be the third derivative of t**6/120 + t**5/60 - t**4/24 - t**3/6 - 10*t**2. Factor w(u).
(u - 1)*(u + 1)**2
Suppose -3*s + 5*s = 0. Find w such that -6*w**2 + 2*w**2 + 2*w + 2*w**3 + s*w**2 = 0.
0, 1
Let v be (2/28 - 13/(-26))/2. Find q, given that -2/7*q**4 + v*q**2 + 0*q + 0*q**3 + 0 = 0.
-1, 0, 1
Factor 0 + g + 1/2*g**2 - 1/2*g**3.
-g*(g - 2)*(g + 1)/2
Let m be 2 + 2 + (-1 - -1). Let s be (-9)/6 + m + -1. Factor 0 + 0*w + 3/2*w**4 - 3*w**3 + s*w**2.
3*w**2*(w - 1)**2/2
Let l be (-6)/(-12) + (-5)/10. Suppose l + 7/5*w**3 + 0*w + 2/5*w**2 + w**4 = 0. What is w?
-1, -2/5, 0
What is r in 0 + 6/5*r**2 - r - 1/5*r**3 = 0?
0, 1, 5
Let c be ((-8)/3)/(53/(-14)). Let n = -2/53 + c. Determine k, given that -2/3 - n*k**2 - 4/3*k = 0.
-1
Let c be (-5 - -4)/((-2)/8 + 0). Let p(b) be the first derivative of 1/14*b**c - 2/35*b**5 - 2 + 0*b**3 + 0*b + 0*