*(f - 1)**2*(f + 1)**2
Let d(y) be the second derivative of 0*y**2 + 2/21*y**3 + 0 - 1/42*y**4 + 3*y. Find t, given that d(t) = 0.
0, 2
Factor -6 + 3*h**3 - 2*h**4 + 0*h + 8*h**2 - h + h**3 - 3*h.
-2*(h - 3)*(h - 1)*(h + 1)**2
Factor -5*g + 0*g + 75*g**2 + g - 6*g.
5*g*(15*g - 2)
Suppose -3/2*i**3 + 3/4*i**4 + 3/4 + 3/4*i**5 + 3/4*i - 3/2*i**2 = 0. Calculate i.
-1, 1
Let v(p) be the second derivative of p**7/21 + p**6/3 + p**5 + 5*p**4/3 + 5*p**3/3 + p**2 - 23*p. Factor v(c).
2*(c + 1)**5
Let x(w) be the first derivative of -1/4*w - 1/20*w**5 - 1/8*w**4 - 3 + 1/8*w**2 + 1/6*w**3 + 1/24*w**6. Factor x(c).
(c - 1)**3*(c + 1)**2/4
Let v be 85/15 - 5*(-2 + 3). Solve 2/3 - 2/3*z + 2/3*z**3 - v*z**2 = 0.
-1, 1
Let 37*n**2 - 57*n**2 + n**5 + 12*n**3 + 4*n - 10*n**5 + 20*n**4 - 7*n**5 = 0. Calculate n.
-1, 0, 1/4, 1
Factor -9/5 + 3/5*z**5 - 18/5*z**3 - 33/5*z - 42/5*z**2 + 3/5*z**4.
3*(z - 3)*(z + 1)**4/5
Let h(w) = -w**2 + 5*w - 2. Let u be h(2). Factor -2*i**3 + i**4 + u*i**3 + i**4.
2*i**3*(i + 1)
Suppose 5*n - h + 22 = 2*n, 4*h + 32 = -3*n. Let x(s) = 0*s**3 - 2*s + 8 - 2*s**3 - 6*s. Let c(a) = -a**3 - 3*a + 3. Let q(r) = n*c(r) + 3*x(r). Factor q(f).
2*f**3
Let b(q) = -q**4 - 6*q**3 + 3*q**2 - 4*q + 6. Let p(j) = 3*j**4 + 17*j**3 - 9*j**2 + 11*j - 17. Let u = -14 - -31. Let d(m) = u*b(m) + 6*p(m). Factor d(t).
t*(t - 2)*(t + 1)**2
Find k, given that 2/3*k + 0 + 10/9*k**3 - 2/9*k**4 - 14/9*k**2 = 0.
0, 1, 3
Suppose 37/5*p**2 - 4*p - 6*p**3 + 9/5*p**4 + 4/5 = 0. What is p?
2/3, 1
Let t = 13 - 10. What is d in -2/7*d**4 - 2/7*d**2 + 0 - 4/7*d**t + 0*d = 0?
-1, 0
Let l(t) = 3*t + 4. Let s be l(-3). Let z(h) = h + 8. Let p be z(s). Factor 2/7*y**2 - 2/7*y + 2/7*y**p - 2/7.
2*(y - 1)*(y + 1)**2/7
Let t(w) be the first derivative of w**3/4 - 9*w**2/2 + 33*w/4 + 62. Factor t(q).
3*(q - 11)*(q - 1)/4
Let v(c) = 18*c**2 - 16*c - 4. Let a(p) = -61*p**2 + 10 + 49*p + 0*p**2 + 2 + 7*p**2. Let u(y) = -2*a(y) - 7*v(y). Factor u(k).
-2*(k - 1)*(9*k + 2)
Let v(b) = b**3 + 10*b**2 - 11. Let t be v(-10). Let r = -9 - t. Suppose -1/3*k**3 + 0 + 1/3*k**r + 0*k = 0. Calculate k.
0, 1
Let k be (((-63)/(-4))/7)/(9/12). Let -6/7*j**4 - 12/7*j**k + 0 + 0*j + 24/7*j**2 + 3/7*j**5 = 0. What is j?
-2, 0, 2
Let r(s) be the first derivative of s**6/6 - 2*s**5/5 + 2*s**3/3 - s**2/2 - 6. Find p such that r(p) = 0.
-1, 0, 1
Let p = 2 - -1. Suppose -1 = -5*j + 3*s - p, 2*j + 8 = 3*s. Factor 2/5*f + 0 - 2/5*f**3 + 2/5*f**4 - 2/5*f**j.
2*f*(f - 1)**2*(f + 1)/5
Let o(z) be the first derivative of 0*z - 1/16*z**2 - 1/24*z**3 - 5. Factor o(d).
-d*(d + 1)/8
Let q be (-6)/4*50/(-15). Let j(b) be the third derivative of 2*b**2 - 1/60*b**q + 0*b**4 + 0*b**3 + 0*b - 1/60*b**6 + 0 - 1/210*b**7. Factor j(a).
-a**2*(a + 1)**2
Factor 1/9*c**3 + 0*c**2 - 1/9*c + 0.
c*(c - 1)*(c + 1)/9
Let z(h) = 3*h**2 - 4*h - 1. Suppose -6*m + 2*m - 8 = 0. Let s = 3 + m. Let f(o) = o + 1. Let y(g) = s*f(g) + z(g). What is x in y(x) = 0?
0, 1
Find v, given that -1/3*v**2 + 2/3 + 1/3*v = 0.
-1, 2
Suppose 0 = -2*l - 2*w + 10, 5*l + 3*w - 4 = 19. Find n such that -2*n - 6*n - l*n**2 + 4*n**4 + 36*n**3 - 28*n**3 = 0.
-2, -1, 0, 1
Let c(l) = -11*l**2 + 19*l + 10. Let p(w) = -12*w**2 + 19*w + 11. Let m(h) = 5*c(h) - 4*p(h). Find u such that m(u) = 0.
-2/7, 3
Let f be (1 + 27/(-21))*-9. Let i = 27/14 + f. Determine y, given that 5/2*y**4 + y + 0 + i*y**2 + 6*y**3 = 0.
-1, -2/5, 0
Let u = 24/37 - 68/333. Let l be 2/9 - 3/15*0. Factor -u*h - 2/9*h**2 - l.
-2*(h + 1)**2/9
Determine n, given that 2*n - 4/3 + 0*n**2 - 2/3*n**3 = 0.
-2, 1
Determine n, given that 1/3*n**2 + 0*n + 0 = 0.
0
Let v be (1 + (-31)/25)/(3/(-140)). Let -18*b**3 + 98/5*b**5 + 56/5*b**4 - v*b**2 - 8/5*b + 0 = 0. Calculate b.
-1, -2/7, 0, 1
Let o(f) be the second derivative of f**7/8820 - f**6/1260 + f**5/420 - f**4/4 - 3*f. Let k(i) be the third derivative of o(i). Factor k(h).
2*(h - 1)**2/7
Let p(o) be the second derivative of o**9/68040 - o**8/15120 + o**7/11340 + 7*o**4/12 + 6*o. Let m(g) be the third derivative of p(g). Factor m(n).
2*n**2*(n - 1)**2/9
Suppose 0 = 34*n - 35*n + 3. Let v(y) be the first derivative of 0*y - 1/14*y**4 - 2 - 2/7*y**2 - 2/7*y**n. Suppose v(p) = 0. What is p?
-2, -1, 0
Let t = -2773/3 + 925. Find h, given that 0*h + 0 + 2/3*h**3 - t*h**5 + 2/3*h**4 - 2/3*h**2 = 0.
-1, 0, 1
Let w = -284/3 - -95. Factor -1/3*m**3 + 0 + w*m**4 + 0*m**2 + 0*m.
m**3*(m - 1)/3
Let k(t) = 9*t**3 - 6*t**2 + 17*t - 4. Let s(l) = l**3 + l. Let p(m) = -3*k(m) + 24*s(m). Suppose p(n) = 0. What is n?
1, 4
Suppose 3*k = 2*r - 13, -r - 2*k + 1 - 5 = 0. Let u be 1/((-10)/(-16))*(-20)/(-40). Determine f, given that -4/5 + u*f - 1/5*f**r = 0.
2
Suppose -8 = -10*k + 8*k. Let y(u) be the first derivative of 0*u**k + 4 - 4/3*u**3 + 0*u + 4/5*u**5 - u**2 + 1/3*u**6. Determine q, given that y(q) = 0.
-1, 0, 1
Suppose 0 = -2*i - 2*y - 2*y + 16, -3*i + 9 = y. Let z(f) be the first derivative of 0*f + 2/3*f**3 + 3 + 1/2*f**4 + 0*f**i. Factor z(s).
2*s**2*(s + 1)
Suppose 14 + 13 = 9*s. Let x(r) be the second derivative of 1/2*r**2 + 0 - 1/6*r**3 + 1/20*r**5 - 1/12*r**4 - s*r. Determine y so that x(y) = 0.
-1, 1
Let h(y) = -25*y**2 - y + 1. Let s be h(1). Let g be 4/110*s/(-5). Factor -g*u + 2/11*u**2 + 0.
2*u*(u - 1)/11
Factor 4/5*l**2 - 36/5 - 32/5*l.
4*(l - 9)*(l + 1)/5
Let q(i) be the first derivative of 0*i + 0*i**2 - 2/3*i**3 + 3 - 1/2*i**4. Factor q(a).
-2*a**2*(a + 1)
Let a(b) be the first derivative of -2*b**5 + 3*b**4/2 + 4*b**3/3 - 3. Factor a(p).
-2*p**2*(p - 1)*(5*p + 2)
Let m(d) be the third derivative of 0*d**3 + 3*d**2 + 0 - 1/20*d**6 - 1/20*d**5 - 1/70*d**7 + 0*d + 0*d**4. Find p, given that m(p) = 0.
-1, 0
Factor -o + 4/3*o**2 - 1/3.
(o - 1)*(4*o + 1)/3
Let g(p) be the first derivative of 0*p - p**3 + 7 + 3*p**2 - 3/4*p**4. Factor g(s).
-3*s*(s - 1)*(s + 2)
Let g(k) = k**3 + k**2 - 9*k - 7. Let r be g(-3). What is z in -1/3*z**r - 2/3*z + 0 = 0?
-2, 0
Let f(p) = p**3 + 5*p**2 + 5*p. Let c be f(-3). Let x(a) be the first derivative of 2*a**2 + 2*a - 2 + 2/3*a**c. Factor x(m).
2*(m + 1)**2
Let a(q) be the first derivative of -q**6/2 + 3*q**5/5 + 9*q**4/2 - 14*q**3 + 33*q**2/2 - 9*q + 7. Factor a(p).
-3*(p - 1)**4*(p + 3)
Let n(p) = p**2 - 2*p - 9. Let j be n(6). Factor m**2 - 2*m**3 + j*m**2 - 16*m**4 - 2*m**3 + 0*m + 4*m.
-4*m*(m - 1)*(m + 1)*(4*m + 1)
Let a(w) = 5*w**4 + 14*w**3 + 6*w**2 + 2. Let g(d) = d**4 - d**2 + 1. Let h(c) = -2*a(c) + 4*g(c). Let h(j) = 0. Calculate j.
-4, -2/3, 0
Let -1/3 - 5/6*n**3 + 1/2*n**4 + 5/6*n - 1/6*n**2 = 0. Calculate n.
-1, 2/3, 1
Let g be (-1 + (-14)/(-10))/(-11 + 13). Let i(n) be the first derivative of 4/25*n**5 + 8/15*n**3 + 1/2*n**4 + 3 + g*n**2 + 0*n. Factor i(w).
2*w*(w + 1)**2*(2*w + 1)/5
Let s(q) = -q**5 + q**4 - q**2 - 1. Let p(f) = -4*f**4 - 3*f**3 + 1. Let v(m) = -p(m) - s(m). Factor v(g).
g**2*(g + 1)**3
Let b be ((-2)/6)/((-7)/42). Factor 2*r**4 + 4 - 2*r**5 - 2*r**3 + b*r**4 - 4.
-2*r**3*(r - 1)**2
Let g be (2/6)/(2/24). Suppose g = -r - v - 0, 20 = 2*r - 5*v. Find s, given that -2/7*s**2 + 2/7*s + r = 0.
0, 1
Suppose 5*y + 18 = x - 0*x, x = 4*y + 15. Suppose -8*f + x*f = 2*b - 10, -3*b - 3 = 3*f. Find c such that -c**2 + c**f - 6*c + 6*c = 0.
-1, 0, 1
Let t(i) be the third derivative of -i**7/315 - 17*i**6/900 - 7*i**5/150 - 11*i**4/180 - 2*i**3/45 + 3*i**2. Factor t(o).
-2*(o + 1)**3*(5*o + 2)/15
Let r(x) be the second derivative of 7*x**5/20 - 23*x**4/12 + 10*x**3/3 - 2*x**2 + 4*x. Find n, given that r(n) = 0.
2/7, 1, 2
Let g(i) be the first derivative of 1/8*i**3 + 0*i - 9 + 3/16*i**2. Suppose g(r) = 0. Calculate r.
-1, 0
Let g(t) be the first derivative of -1/4*t**4 - 2 - 2*t**2 - 4/3*t**3 + 0*t. Suppose g(r) = 0. What is r?
-2, 0
Let x(w) be the first derivative of -1/2*w**6 + 3/4*w**4 + 0*w - 3/5*w**5 + w**3 + 0*w**2 - 3. Determine p, given that x(p) = 0.
-1, 0, 1
Let i be (-3)/(6 - 3)*-3. Factor 0*s + 2*s - 2*s**i + 0*s.
-2*s*(s - 1)*(s + 1)
Let p(u) be the third derivative of u**9/45360 + u**8/10080 + u**7/7560 + u**4/12 + u**2. Let l(n) be the second derivative of p(n). Factor l(o).
o**2*(o + 1)**2/3
Let o(b) be the third derivative of -1/60*b**5 - 1/120*b**6 + 0*b + 0*b**3 + 0*b**4 + b**2 + 1/210*b**7 + 1/336*b**8 + 0. Factor o(x).
x**2*(x - 1)*(x + 1)**2
Let q be 7 - 0 - (1 + 2). F