. Factor k(i).
-i**2*(i - 2)/6
Factor 25/4*q**3 + 1/2 + 3/4*q - 9/4*q**4 - 21/4*q**2.
-(q - 1)**3*(9*q + 2)/4
Let f be (9/(-4))/(2 - (-105)/(-40)). What is l in -f*l**2 - 14/5*l**3 - 4/5*l + 0 = 0?
-1, -2/7, 0
Factor 4*j**2 + 5*j**3 + 4*j**4 + 0*j**4 + 0*j**2 + 3*j**3.
4*j**2*(j + 1)**2
Let o(n) = n**3 + 5*n**2 - 5. Let l(t) = t**3 + 2*t**2 - 2. Let i(r) = -5*l(r) + 2*o(r). Factor i(a).
-3*a**3
Let o(j) be the third derivative of 0*j + 1/462*j**8 - 1/330*j**5 + 0 + 0*j**4 - j**2 - 3/385*j**7 + 0*j**3 + 1/110*j**6. Suppose o(b) = 0. What is b?
0, 1/4, 1
Suppose 5*o + 3 = -2*b, -2*o + 42 = -3*b + 3*o. Let y be (1/(-1))/(3/b). Determine g, given that 0 + 0*g - 2/9*g**y - 2/9*g**2 = 0.
-1, 0
Factor 0*g**3 - 3*g**2 + 7*g**3 + 18*g**2 + 21*g - 4*g**3 + 9.
3*(g + 1)**2*(g + 3)
Suppose -7*p + 11*p = 12. Let m be 4/(-16) - p/(-12). Factor 1/3*h**3 + m + 0*h**2 + 1/3*h**4 + 0*h.
h**3*(h + 1)/3
Suppose -2 - 4 = t. Let u be 1/1*(-6 - t). Suppose 6/11*x**3 + 2/11*x + 2/11*x**4 + u + 6/11*x**2 = 0. What is x?
-1, 0
Let w(q) be the second derivative of 0 + q + 1/40*q**5 - 1/42*q**7 + 1/8*q**4 - 1/20*q**6 + 0*q**2 + 1/12*q**3. Determine c, given that w(c) = 0.
-1, -1/2, 0, 1
Let m = 251/2 - 125. Factor m - s**2 + 7/4*s.
-(s - 2)*(4*s + 1)/4
Solve 2*x**2 - 36*x + 17*x**2 - 15*x**2 = 0 for x.
0, 9
Let l(v) be the first derivative of -2*v**5/45 - v**4/9 + 2*v**3/27 + 2*v**2/9 - 47. Factor l(d).
-2*d*(d - 1)*(d + 1)*(d + 2)/9
Let v(y) = y - 6. Let c be v(8). Factor 5*n**c - 2*n**2 - 4*n**2 + 3*n + 0*n**2.
-n*(n - 3)
Let q be 2/(3 + (-2 - 0)). Let y(p) be the second derivative of -1/2*p**4 + 0 + 0*p**3 + p + 4*p**q + 1/10*p**5. Factor y(a).
2*(a - 2)**2*(a + 1)
Let v be 2/7 - (-38)/14. Suppose -14*d**v + 1 - 6*d**4 + 18*d**3 - 3 + 8*d**2 - 4*d**5 = 0. What is d?
-1, 1/2, 1
Let o(l) be the first derivative of -l**6/360 - 7*l**5/360 - l**4/36 - 7*l**3/3 - 7. Let q(d) be the third derivative of o(d). Factor q(y).
-(y + 2)*(3*y + 1)/3
Factor 3/5*v - 2/5 - 1/5*v**2.
-(v - 2)*(v - 1)/5
Factor r - 1/2 - 1/2*r**2.
-(r - 1)**2/2
Let y(b) be the first derivative of -b**7/42 - b**6/10 - b**5/20 + b**4/4 + b**3/3 - 5*b - 2. Let a(z) be the first derivative of y(z). Factor a(v).
-v*(v - 1)*(v + 1)**2*(v + 2)
Let f(u) be the first derivative of u**6/6 - u**5 + u**4/4 + 13*u**3/3 - u**2 - 8*u - 20. What is j in f(j) = 0?
-1, 1, 2, 4
Let -n**3 + 4*n + 6*n**3 + 4*n**4 - 8*n**2 - 5*n**4 = 0. Calculate n.
0, 1, 2
Let z(w) be the first derivative of w**3/3 + 2*w**2 + 3*w - 2. Factor z(h).
(h + 1)*(h + 3)
Let l(f) = 57*f**5 - 84*f**4 + 39*f**3 + 9*f**2. Let s(o) = -14*o**5 + 21*o**4 - 10*o**3 - 2*o**2. Let u(k) = 5*l(k) + 21*s(k). Suppose u(m) = 0. Calculate m.
0, 1/3, 1
Suppose -3*j + 2*v = -11, -3*j + 30 - 13 = v. Factor -1/4*o**j - o**4 - 3/2*o**3 - o**2 - 1/4*o + 0.
-o*(o + 1)**4/4
Let z be (-14)/4 + (-8 - -12). Factor z*j**2 + 0 - 1/2*j.
j*(j - 1)/2
Let u be (-1)/(-3) + (-85)/(-15). Suppose 4*g + 6 = u*g. Factor -2*r**4 + 1/2*r + 0 + 1/2*r**5 + g*r**3 - 2*r**2.
r*(r - 1)**4/2
Let b(n) = -2*n + 22. Let o be b(11). Determine w, given that 0 + 2/9*w**2 + 0*w - 2/9*w**4 + o*w**3 = 0.
-1, 0, 1
Let a(s) = -36*s**2 + 141*s - 195. Let b(m) = -m**3 - m - 1. Let f(p) = a(p) - 3*b(p). Factor f(l).
3*(l - 4)**3
Suppose 20 = 4*b, -2*i - 5*b + 25 = -8. Solve -1/3*s**2 - 1/6*s**3 + 0 + 1/6*s**5 + 0*s + 1/3*s**i = 0.
-2, -1, 0, 1
Let y(d) be the first derivative of 14*d**5/15 - 5*d**4/6 - 4*d**3/9 - 6. Suppose y(h) = 0. Calculate h.
-2/7, 0, 1
Let b = -2 + 4. Let v be 3 + 4/b + -2. Factor -11/4*d**v + 0 + 9/4*d**5 - d**2 + 3/2*d**4 + d.
d*(d + 1)**2*(3*d - 2)**2/4
Let l(k) be the first derivative of 4*k**5/15 + 2*k**4/3 - 4*k**3/9 - 4*k**2/3 - 49. Solve l(f) = 0.
-2, -1, 0, 1
Let s be (-13)/((-3)/3) + -3. Suppose 5*x = -0*x + s. Factor g - 1/2 - 1/2*g**x.
-(g - 1)**2/2
Suppose -q = -0*q - 3. Let y(d) be the third derivative of -d**4 + 0 + 0*d - 1/15*d**5 + 2*d**2 + 8/3*d**q + 11/60*d**6 + 1/168*d**8 - 2/35*d**7. Factor y(i).
2*(i - 2)**3*(i - 1)*(i + 1)
Let g(c) be the first derivative of -10*c**6/3 - 52*c**5/5 - 9*c**4 + 4*c**3/3 + 4*c**2 - 5. Let g(y) = 0. What is y?
-1, 0, 2/5
Let q(u) be the second derivative of u**7/735 + u**6/105 + u**5/35 + u**4/21 + u**3/21 + 2*u**2 + 6*u. Let t(g) be the first derivative of q(g). Factor t(b).
2*(b + 1)**4/7
Let j(t) be the first derivative of t**5/30 - t**3/3 + 2*t**2 + 3. Let p(y) be the second derivative of j(y). Determine n so that p(n) = 0.
-1, 1
Find w such that 0*w - 4/3*w**4 + 8/3*w**3 + 0 + 0*w**2 + 1/6*w**5 = 0.
0, 4
Let t(k) be the third derivative of 0*k**3 + 1/42*k**4 + 1/210*k**5 + 0 + 2*k**2 + 0*k. Suppose t(b) = 0. Calculate b.
-2, 0
Let l = 3 - 5. Let w be 4 + l + (-2)/(-2). Factor -6*x**w + 25*x**2 - 11*x - 9*x**2 + 2 - x**3.
-(x - 1)**2*(7*x - 2)
Determine g so that -4/5*g + 2/5*g**2 - 6/5 = 0.
-1, 3
Let u(g) be the first derivative of -2*g**3/27 - 5*g**2/9 + 4*g/3 - 7. Determine c, given that u(c) = 0.
-6, 1
Let y(d) be the first derivative of 9*d**5/25 + 33*d**4/20 - 59*d**3/15 + 7*d**2/10 + 2*d - 14. Let y(p) = 0. Calculate p.
-5, -1/3, 2/3, 1
Suppose 3*j + 5*q + 0*q + 10 = 0, -3*j - 2*q = 4. Suppose 0*s + 4/5*s**4 + j - 12/5*s**3 + 8/5*s**2 = 0. Calculate s.
0, 1, 2
Let d be ((-4)/(-8))/(11/16). Find y such that d*y + 2/11*y**2 + 8/11 = 0.
-2
Suppose -3 = -2*u + 1. Find g such that -2*g**4 + 4*g + 10*g**2 - 6*g**2 - 2 - u*g - 4*g**3 + 2*g**5 = 0.
-1, 1
Let h(r) = -5*r**4 - 7*r**3 + 2*r**2 + r - 3. Let c(j) = 19*j**4 + 27*j**3 - 8*j**2 - 5*j + 11. Let o(y) = -6*c(y) - 22*h(y). What is g in o(g) = 0?
-2, -1, 0, 1
Suppose -25 = -2*l + 15. Suppose -4*y - y = l, -8 = -2*g + 2*y. Determine p, given that 1/4 - 1/4*p**2 + g*p = 0.
-1, 1
Let f(x) be the first derivative of 0*x + 1/25*x**5 + 1/5*x**3 - 3/20*x**4 - 1/10*x**2 - 5. Factor f(u).
u*(u - 1)**3/5
Let c(i) be the first derivative of 0*i + 0*i**4 + 0*i**3 - 1/6*i**6 + 0*i**5 + 0*i**2 - 1. Factor c(j).
-j**5
Suppose 3*h + 12 = -0*h, -3*n + 4*h + 22 = 0. Factor 4 + 0 + r**n - 2 - 7*r + 4*r**2.
(r - 1)*(5*r - 2)
Factor 1/3*u**3 - 1/3*u + 1/3*u**4 - 1/3*u**2 + 0.
u*(u - 1)*(u + 1)**2/3
Let m = 0 - -2. Let b = 2 + m. Find y such that 3*y**5 + 5*y**b + 12 - 12 + 2*y**3 = 0.
-1, -2/3, 0
Let g(m) be the second derivative of -m**6/10 + 3*m**5/20 + 3*m**4/2 - 2*m**3 - 12*m**2 - 24*m. Factor g(h).
-3*(h - 2)**2*(h + 1)*(h + 2)
Let s = 41 - 121/3. Solve 0 - 2/3*j**2 + 2/3*j - s*j**3 + 2/3*j**4 = 0.
-1, 0, 1
Let s(h) = -h**3 + 9*h**2 - 8*h + 4. Let u be s(8). Let i(c) = c**2 - 3*c + 4. Let f be i(u). Factor 0*d**3 + 2 - 7*d**2 + 19*d**2 + 8*d**3 + 2*d**4 + f*d.
2*(d + 1)**4
Let c be 4/14*322/138. Factor c*m**3 + 0 + 4/9*m**2 - 2/9*m.
2*m*(m + 1)*(3*m - 1)/9
Let k(g) be the first derivative of 2/3*g**3 - g**2 - 1/6*g**4 + 4 - 5*g. Let d(z) be the first derivative of k(z). Factor d(o).
-2*(o - 1)**2
Let s(d) be the second derivative of -d**5/15 - d**4/9 + 5*d. Let s(i) = 0. What is i?
-1, 0
Let n(i) be the first derivative of -5*i**4/4 + 20*i**3/3 - 10*i**2 + 15. Factor n(g).
-5*g*(g - 2)**2
Let d(g) be the first derivative of 1/30*g**4 - 2/15*g**3 - g**2 + 0*g - 1/300*g**5 - 1. Let v(k) be the second derivative of d(k). Find l, given that v(l) = 0.
2
Let t = 5144/4295 + 2/859. Let -3/5*w**2 + 0 - t*w = 0. Calculate w.
-2, 0
Solve -4*f**5 - 12*f**4 + 0*f**2 - 5*f**2 - 21*f**3 + 9*f**3 + f**2 = 0.
-1, 0
Let f(t) = 11*t**3 + 2*t**2 - t + 1. Let n(u) = u**2. Let l(s) = f(s) - 2*n(s). Let k be l(1). Factor -3*g**2 - 1 + 7*g**3 - 2*g**3 - 7*g - 5*g**2 + k*g**3.
(g - 1)*(4*g + 1)**2
Let y be -38*(-2)/(-20) + 4. Let x(j) be the second derivative of -y*j**2 - 1/15*j**3 + 0 + j + 1/30*j**4 + 1/50*j**5. Factor x(g).
2*(g - 1)*(g + 1)**2/5
Let z(k) = -k**3 + 0*k**2 + k - 3 + 2*k - 3*k**2 - 5*k. Let b(r) = 2*r**3 + 5*r**2 + 3*r + 5. Let t(w) = -6*b(w) - 10*z(w). Factor t(h).
-2*h*(h - 1)*(h + 1)
Let 3 - 3*j**4 - 5 + 7 - 12*j + 2*j**3 - 1 + 9*j**2 = 0. What is j?
-2, 2/3, 1
Factor 0 - 2/5*d**5 - 4/5*d + 14/5*d**2 - 18/5*d**3 + 2*d**4.
-2*d*(d - 2)*(d - 1)**3/5
Let n(r) = -6*r**3 + 18*r + 17. Let p(f) = -3*f**3 + 9*f + 8. Let s(c) = -2*n(c) + 5*p(c). Factor s(l).
-3*(l - 2)*(l + 1)**2
Let m(x) be the second derivative of 0*x**2 - 2/3*x**3 + 7/6*x**4 - 1/21*x**7 + 0 - 9/10*x**5 + 1/3*x**6 - 8*x. Find g such 