 - 1)*(5*g - 2)
Let l(c) be the third derivative of -c**6/180 + c**5/5 - 9*c**4/4 - 37*c**2. Factor l(z).
-2*z*(z - 9)**2/3
Let i = -43 + 43. Determine b so that -2/3*b + i - 7/3*b**2 = 0.
-2/7, 0
Find u such that 0*u**2 + 0*u**3 + 0 + 2/3*u**4 + 0*u = 0.
0
Factor 7*a**2 + 10*a - 30*a**4 - a + 60*a**3 - 57*a**2 + 6*a + 5*a**5.
5*a*(a - 3)*(a - 1)**3
Suppose -23*d + 28 = -9*d. Factor -6/5*r + 2*r**d - 4/5.
2*(r - 1)*(5*r + 2)/5
Let k(n) be the second derivative of n**5/130 - n**4/39 + n**3/39 - 2*n. Factor k(g).
2*g*(g - 1)**2/13
Let 2*n + 2/7 + 12/7*n**2 = 0. Calculate n.
-1, -1/6
Let h(g) be the third derivative of 0 + 0*g - 2*g**2 - 2/315*g**7 + 2/45*g**5 - 2/9*g**3 + 1/12*g**4 - 1/30*g**6 + 1/168*g**8. Find n such that h(n) = 0.
-1, 2/3, 1
Let u(f) be the first derivative of f**6/6 + 2*f**5/5 - f**4/2 - 4*f**3/3 + f**2/2 + 2*f - 27. Factor u(i).
(i - 1)**2*(i + 1)**2*(i + 2)
Let p(r) = -8*r**2 + 49*r - 42. Let f be p(5). Let -9/4*d**4 - 3*d + 5/4*d**2 + 1 + 3*d**f = 0. Calculate d.
-1, 2/3, 1
Let w be (-4)/(-6)*1887/7. Let o = 180 - w. Factor 0 + 2/7*n**2 + o*n.
2*n*(n + 1)/7
Factor -6 - 2*s**2 - 4*s**2 - 22*s - 4*s**2 + 11*s**3 - 5*s**3.
2*(s - 3)*(s + 1)*(3*s + 1)
Let c(q) be the second derivative of 0 + 1/36*q**4 + 8/3*q**2 - 4*q - 4/9*q**3. Factor c(g).
(g - 4)**2/3
Let a(h) = h**2 + 7*h - 11. Let m be a(-8). Let p be (-4)/(-12)*m/(-2). Factor 0 - p*d - d**2.
-d*(2*d + 1)/2
Solve 10 + 5*o**2 + 3 - 40*o + 27 - 5 = 0.
1, 7
Factor -1/10*l**2 + 0 + 1/10*l.
-l*(l - 1)/10
Let t = -12/257 - -16484/771. Let i = -21 + t. Suppose i*j**3 + 0 + 1/3*j**2 + 0*j = 0. What is j?
-1, 0
Let z(x) be the third derivative of x**7/105 - x**6/60 - x**2. Factor z(f).
2*f**3*(f - 1)
Let w(b) be the third derivative of 2*b**7/105 + 2*b**6/15 + b**5/3 + b**4/3 - 26*b**2. Solve w(z) = 0.
-2, -1, 0
Suppose -2*b + 1 = 3*v - 8, b - 4 = -v. Factor 8 - 7*n + b*n - n**4 + 4*n**2 - 10*n**2 + 5*n**3.
-(n - 2)**3*(n + 1)
Let k(q) be the second derivative of 0 + 1/6*q**4 - q + q**3 + 2*q**2. Factor k(y).
2*(y + 1)*(y + 2)
Suppose -4*y + 13 = -3. Let q(z) be the second derivative of 1/2*z**2 + 1/6*z**3 + 0 - 1/6*z**y - 1/10*z**5 + 1/42*z**7 + 2*z + 1/30*z**6. Factor q(c).
(c - 1)**2*(c + 1)**3
Let j be (-46)/(-14) + 6/(-21). Let v(i) be the second derivative of -2*i**2 - 3/10*i**5 + i + 0 + i**j + 1/3*i**4. Factor v(q).
-2*(q - 1)*(q + 1)*(3*q - 2)
Let -10 + 2 + 4*t**2 - 8 + 12*t = 0. Calculate t.
-4, 1
Find y, given that 10/3*y**2 - 32 - 16/3*y + 2/3*y**3 = 0.
-4, 3
Let c = -503/5 - -101. Factor c*l**2 + 0 - 4/5*l.
2*l*(l - 2)/5
Let l(k) = 4*k**3 + 36*k**2 + 104*k + 64. Let z(m) = -4*m**3 - 36*m**2 - 106*m - 64. Let c(o) = -5*l(o) - 4*z(o). Factor c(i).
-4*(i + 1)*(i + 4)**2
Let m(g) = g**2 - 7*g + 15. Let n be m(5). Factor 0 + 1/4*z**4 - 1/4*z**2 - 3/4*z**3 + 1/4*z**n + 1/2*z.
z*(z - 1)**2*(z + 1)*(z + 2)/4
Let v(s) = s**2 + 2*s - 2. Let y be v(2). Suppose -3*c + 12 = -y. Determine l, given that 0*l**2 - 2*l**3 + 2*l**2 + c*l**3 + 2*l**4 = 0.
-1, 0
Let f be (-4)/14 + (-88)/(-14). Let g = -4 + f. Suppose 2 + h**2 - g = 0. What is h?
0
Let 3/4*g**3 + 0 - 15/4*g - 3*g**2 = 0. Calculate g.
-1, 0, 5
Let o(v) = -4*v**3 - 8*v**2 - 4*v + 12. Let w(i) = -i**2 - i + 1. Let m(k) = o(k) - 12*w(k). Suppose m(u) = 0. What is u?
-1, 0, 2
Let c(a) = 4*a**3 - 28*a + 17. Let d(k) = -2*k**3 + 14*k - 8. Let w(j) = -4*c(j) - 7*d(j). Factor w(y).
-2*(y - 2)*(y - 1)*(y + 3)
Suppose -f + r = f - 8, -f - r = 2. Let -3*j**3 - 15*j**f + 6*j**2 - 3*j**3 - 9*j + 3*j**3 - 3 = 0. Calculate j.
-1
Let x(v) = -3*v**5 + 15*v**4 + 2*v**2 - 7*v + 7. Let p(b) = b**4 + b**3 - b + 1. Let m(s) = -14*p(s) + 2*x(s). Factor m(t).
-2*t**2*(t - 1)**2*(3*t - 2)
Let x(z) be the third derivative of z**2 + 0*z**4 + 0*z - 1/15*z**5 + 0 + 0*z**3 - 1/60*z**6. Let x(f) = 0. What is f?
-2, 0
Let l(g) be the first derivative of -g**4/4 - 5*g**3/3 + 2. Let o be l(-5). Suppose -1/3*i**3 + o - 2/3*i**2 - 1/3*i = 0. What is i?
-1, 0
Factor -336 - 6*t**2 + 2*t - 2*t + 6*t + 334 + 2*t**3.
2*(t - 1)**3
Suppose 25 = -4*y - 5*q, 4*y - 12*q = -7*q + 25. Factor 2/7*z + 0*z**2 + y - 2/7*z**3.
-2*z*(z - 1)*(z + 1)/7
Let d(a) be the third derivative of -a**7/105 + a**5/30 - 5*a**2. Solve d(r) = 0 for r.
-1, 0, 1
Factor 3*c**3 + 300*c - 300*c + 0*c**3 - 9*c**2.
3*c**2*(c - 3)
Factor 7*y - 6*y**4 + 3*y**5 - 23 - 7*y**4 - 18*y**2 + 22 + 22*y**3.
(y - 1)**4*(3*y - 1)
Let k(s) be the third derivative of s**8/168 + s**7/105 - s**6/30 + s**2. Determine g so that k(g) = 0.
-2, 0, 1
Let m be (-2)/(-3) - 40/96. Let n(u) be the first derivative of 0*u - u**2 - 2 - m*u**4 + u**3. Factor n(c).
-c*(c - 2)*(c - 1)
Let r(c) be the second derivative of 2*c**7/21 - 2*c**6/15 - 2*c**5/5 + 2*c**4/3 + 2*c**3/3 - 2*c**2 + 5*c. Factor r(w).
4*(w - 1)**3*(w + 1)**2
Determine r, given that 3*r**2 - 4*r + 7*r**3 - r**2 - 5*r**3 = 0.
-2, 0, 1
Let h be (-1)/4 + (-13 - 3091/(-220)). Solve -h*g**4 + 0*g**2 - 2/5*g**5 + 0 - 2/5*g**3 + 0*g = 0.
-1, 0
Let g(u) be the first derivative of -u**3/6 - u**2/2 + 11. Suppose g(c) = 0. Calculate c.
-2, 0
Let d(u) be the first derivative of -28*u**3/3 + 12*u**2 - 36*u/7 + 4. Factor d(r).
-4*(7*r - 3)**2/7
Suppose 5*a - 3*t = 3, -a - 4 = -12*t + 16*t. Solve 2/3*w**3 + 0*w + 4/3*w**2 + a = 0.
-2, 0
Let l(g) be the third derivative of -g**6/180 + g**5/45 - 3*g**2. Let l(i) = 0. What is i?
0, 2
Suppose -7/9*x - 2/9*x**2 + 4/9 = 0. What is x?
-4, 1/2
Let r(b) be the third derivative of b**10/75600 - b**8/5040 + b**6/360 + b**5/15 + 4*b**2. Let v(g) be the third derivative of r(g). Factor v(f).
2*(f - 1)**2*(f + 1)**2
Find n, given that 0*n**2 + 0 + 3/4*n**3 + 0*n + 15/4*n**4 = 0.
-1/5, 0
Let p(l) be the second derivative of l**6/30 + 17*l**5/60 + 17*l**4/18 + 14*l**3/9 + 4*l**2/3 - 3*l. Factor p(i).
(i + 1)*(i + 2)**2*(3*i + 2)/3
Let s(v) = -21*v**3 + 25*v**2 + 5*v + 9. Let p(b) be the first derivative of b**5/5 - b**3/3 - b**2/2 - b - 2. Let u(j) = -18*p(j) - 2*s(j). Factor u(i).
-2*i*(i - 1)*(3*i - 2)**2
Let q be 30/18 - (-2)/6. Factor 4 + 0*r**q + 3*r**2 - r**2 - r**2 + 4*r.
(r + 2)**2
Let w(q) be the second derivative of 1/12*q**4 + 0*q**2 + 0*q**3 + 0 + q. Find i, given that w(i) = 0.
0
Let u(r) = -r - 4. Let i be u(-4). Let g(a) be the second derivative of 1/4*a**2 + i + 1/6*a**4 + 5/12*a**3 - 3*a. Factor g(w).
(w + 1)*(4*w + 1)/2
Solve -1/2*m + 3 - 1/2*m**2 = 0 for m.
-3, 2
Let s(y) = -5*y**2 - 15*y - 5. Let r(a) = -a - 1. Let q(b) = -5*r(b) + s(b). Determine c so that q(c) = 0.
-2, 0
Let u(w) be the third derivative of w**6/60 - w**5/15 - 2*w**2. Factor u(d).
2*d**2*(d - 2)
Suppose 0*r + 0*r**3 + 0 - 4/5*r**4 + 0*r**2 - 2/5*r**5 = 0. Calculate r.
-2, 0
Factor -2/7*t**2 - 2/7*t + 2/7*t**3 + 2/7.
2*(t - 1)**2*(t + 1)/7
Let r(v) be the third derivative of v**5/120 + v**4/48 - 4*v**2. Factor r(l).
l*(l + 1)/2
Let r(q) be the second derivative of 0 + 0*q**2 + 0*q**5 + 3*q + 0*q**3 - 1/4*q**4 + 1/10*q**6. Suppose r(v) = 0. What is v?
-1, 0, 1
Let t(w) = w**2 + 0 - 4 + 0*w - w + 2*w. Let y be t(-3). Factor 2 - 5 - 4*i + 7 + i**y.
(i - 2)**2
Let p(o) be the second derivative of 2*o**4/15 + 2*o**3/15 - 6*o**2/5 - 4*o - 2. Factor p(g).
4*(g - 1)*(2*g + 3)/5
Let k(s) = -8 - 17*s**4 + 10*s**3 - 4*s**5 - 11*s**5 - 2*s**5. Let g(v) = -11*v**5 - 11*v**4 + 7*v**3 - 5. Let l(h) = 8*g(h) - 5*k(h). What is c in l(c) = 0?
-2, 0, 1
Factor 4/3*z**3 - 1/3*z**4 + 1 - 2/3*z**2 - 4/3*z.
-(z - 3)*(z - 1)**2*(z + 1)/3
Determine a, given that 624/5*a**3 + 32/5*a + 448/5*a**4 + 98/5*a**5 + 0 + 256/5*a**2 = 0.
-2, -2/7, 0
Factor 16*k**5 - 364*k**4 + 6*k**3 - 2*k**3 + 384*k**4.
4*k**3*(k + 1)*(4*k + 1)
Let r = 4 - 2. Find j, given that 0*j**2 - r*j**3 + 2 + 0*j**3 - 6*j + 6*j**2 = 0.
1
Factor -x - 3*x**2 - 9 + 3 + 12*x - 2*x.
-3*(x - 2)*(x - 1)
Let -7 + 0*r**2 + 4*r**2 + 17 + r**2 - 15*r = 0. Calculate r.
1, 2
Let m be 3/9*0 - 3/(-72). Let p(d) be the third derivative of 1/96*d**4 - m*d**3 + 0*d + 0 + 1/240*d**5 - 1/480*d**6 + 3*d**2. Solve p(f) = 0.
-1, 1
Find z, given that z**2 - 16 + 0*z**2 + 4*z**4 + 20*z**3 + 11*z**2 - 20*z = 0.
-4, -1, 1
Let d(n) be the second derivative of -3*n**4/4 - 35*n**3/2 + 18*n**2 - 26*n. Determine y, given that d(y) = 0.
-12, 1/3
Solve 0*x**2 + 2/7*x**3 + 0*x + 0 - 2/7*x**4 = 0.
0, 1
What is o in -7*o**3 + 3*o**4 + 5*o**2 + 2