(s - 1)**2*(s + 1)**2/5
Factor 0*u + 6/7*u**2 - 10/7*u**3 + 2/7*u**4 + 2/7*u**5 + 0.
2*u**2*(u - 1)**2*(u + 3)/7
Factor -12/17*f**2 + 2/17*f**3 + 10/17*f + 0.
2*f*(f - 5)*(f - 1)/17
Let g = 153437/2055 + 1/685. Let c = g - 74. Factor 0*t + 14/3*t**4 - 2*t**5 + 0 + c*t**2 - 10/3*t**3.
-2*t**2*(t - 1)**2*(3*t - 1)/3
Suppose 4*k + 4*n = 16, -4*k - 4*n + 13 = -k. Factor i + 3*i - 3*i**3 - 6*i**2 + 6*i**k - i.
3*i*(i - 1)**2
Factor -4*z + 1/2*z**4 + 0 + z**3 - 2*z**2.
z*(z - 2)*(z + 2)**2/2
Let p be 1/((-1)/12*-6). Let -1/2*r**p + 0 + 1/2*r = 0. What is r?
0, 1
Factor 0 + 2/7*b**3 + 0*b**2 - 2/7*b.
2*b*(b - 1)*(b + 1)/7
Let c = 188/3 - 62. Let n = -157/3 + 53. Factor -n*j - c*j**2 + 4/3.
-2*(j - 1)*(j + 2)/3
Suppose -9*g**2 - 13 + 48*g - 5 + 8 - 5 = 0. What is g?
1/3, 5
Let y(q) be the first derivative of q**4/16 + 13*q**3/4 + 507*q**2/8 + 2197*q/4 + 1. Factor y(g).
(g + 13)**3/4
Suppose -4*w = -3*w - 3*i + 10, 4*w - 2*i - 10 = 0. Let f be (0 - -2) + 1 + -1. Solve 1 + 2 + 4*h**f - 5 + 2*h + w*h = 0.
-2, 1/4
Let z be 38 + (5 - (2 + 1)). Let x be (24/z)/((-9)/(-10)). Let -2/3 + x*a + 2/3*a**2 - 2/3*a**3 = 0. Calculate a.
-1, 1
Factor l + 0*l**2 + 17*l + 36 + 6*l + 4*l**2.
4*(l + 3)**2
Suppose 3 = t - 0*t. Suppose -4*n**3 - 12*n**2 - 8*n**3 - t*n - 12*n**4 - 6*n**3 + 4*n**5 - 7*n**5 = 0. Calculate n.
-1, 0
Let l(f) be the first derivative of -f**2/2 + 9*f + 2. Let y be l(6). What is w in 3*w**2 - 3*w**y + 9*w**3 + w + w**2 + w**5 + 4*w**4 = 0?
-1, 0
Let i = -96 - -101. Find z, given that 1/3*z**4 + 0 - 1/3*z**2 + 1/6*z**i - 1/6*z + 0*z**3 = 0.
-1, 0, 1
Let h(q) = 4*q**2 - 11*q + 1. Let x be h(3). Let l(w) be the second derivative of 0*w**2 + 0 + 4*w - 1/4*w**x + 1/2*w**3. Let l(f) = 0. What is f?
0, 1
Let q(l) be the third derivative of 1/210*l**7 - 1/60*l**5 + 3*l**2 + 0*l**3 - 1/336*l**8 + 0*l + 0 + 1/120*l**6 + 0*l**4. Factor q(d).
-d**2*(d - 1)**2*(d + 1)
Let x be 1/6 + (-3)/18. Let i(l) be the first derivative of x*l**2 + l - 2 - 1/3*l**3. Suppose i(s) = 0. Calculate s.
-1, 1
Let b(q) be the first derivative of q**6/60 - q**4/16 - q**3/12 + 3*q**2/2 - 3. Let s(m) be the second derivative of b(m). Solve s(o) = 0 for o.
-1/2, 1
Let w = -2 - -4. Suppose -3*z - w*l = z, -5*z = -l - 14. Factor 8/3*n + 0 - 8/3*n**z - 2*n**3.
-2*n*(n + 2)*(3*n - 2)/3
Let 0*l + 5*l**3 + 5/2*l**4 + 0*l**2 + 0 = 0. Calculate l.
-2, 0
Let q(n) = n**2 - 4. Let t(b) = -1. Let g(c) = q(c) - 4*t(c). Factor g(r).
r**2
Let s = -120 + 123. Determine a so that -1/3*a**2 + 1/3 + 1/3*a - 1/3*a**s = 0.
-1, 1
Let a(u) be the second derivative of -2/15*u**4 - 2/5*u**2 + 2*u + 1/50*u**5 + 0 + 1/3*u**3. Factor a(v).
2*(v - 2)*(v - 1)**2/5
Let p = 6 - 3. Suppose -f - 2*f + 0*f**p + 3*f**3 + 0*f**3 - 9*f**4 + 9*f**2 = 0. What is f?
-1, 0, 1/3, 1
Let y(l) = l**2 + 6*l + 2. Let u be (-11)/2 + (-1)/2. Let j be y(u). Factor 4*d**4 + 0*d**3 + 2*d + 2*d**2 - j*d**3 + 2 - 8*d**2.
2*(d - 1)**2*(d + 1)*(2*d + 1)
Let o = 134 + -134. Determine h, given that o - 1/4*h + 1/4*h**3 + 0*h**2 = 0.
-1, 0, 1
Let i = 116/77 - 4/11. Determine u so that 0 - 2/7*u**3 + 2/7*u - 8/7*u**2 + i*u**4 = 0.
-1, 0, 1/4, 1
Let v = -3 - -5. Let l be (0/5)/(-1 - 0). Factor l + 5 + 1 - 2 - 6*b + 2*b**v.
2*(b - 2)*(b - 1)
Let u be ((-4)/7)/(6/(-21)). Let l(y) = y**2 + 8*y + 5. Let z be l(-8). Factor 0 + 1 - z + 2*b**2 + 0*b**u - 2*b.
2*(b - 2)*(b + 1)
Let w = -33 + 19. Let x be w/(-49) + (-4)/14. Determine k, given that 0*k**3 + 0*k**2 + 2/7*k**5 + x + 0*k - 2/7*k**4 = 0.
0, 1
Let t(j) be the second derivative of 5*j**7/168 + j**6/15 - j**5/20 - 5*j**4/24 - j**3/24 + j**2/4 + 6*j. Factor t(f).
(f - 1)*(f + 1)**3*(5*f - 2)/4
Suppose 0 = -5*j + 2 + 8. What is a in 2/7*a**j - 2/7*a + 0 = 0?
0, 1
Suppose -3*q = -2*q - 73. Suppose -73 + q + y**2 - 2*y = 0. What is y?
0, 2
Let d = 7026/25 - 281. Let h(p) be the second derivative of 1/15*p**4 + 1/5*p**2 - d*p**6 - p + 2/25*p**5 - 4/15*p**3 + 0. What is z in h(z) = 0?
-1, 1/3, 1
Let p(r) be the first derivative of 0*r**4 - 1/210*r**7 + 0*r**3 - 1 + 1/60*r**5 + 0*r + r**2 + 0*r**6. Let h(a) be the second derivative of p(a). Factor h(x).
-x**2*(x - 1)*(x + 1)
Let b be 3 + (-5)/(20/12). Factor 0 + b*h + 1/4*h**4 - 1/2*h**3 + 1/4*h**2.
h**2*(h - 1)**2/4
Factor -4*r**2 + 324*r - 4*r**3 - 2*r**2 - 12 - 304*r + 2*r**2.
-4*(r - 1)**2*(r + 3)
Suppose 4*w = 2*w - 40. Let v be w/35 + 104/84. Factor -2/3 + v*b**2 + 0*b.
2*(b - 1)*(b + 1)/3
Factor 0 + 18/7*l**3 + 2*l**2 + 10/7*l**4 + 2/7*l**5 + 4/7*l.
2*l*(l + 1)**3*(l + 2)/7
Let y = 213/2 - 104. Find q such that q**2 + 0 + 0*q + 2*q**4 - 1/2*q**5 - y*q**3 = 0.
0, 1, 2
Let k be (2 - 1)/(-1)*-3. Factor -2*j**2 + 4*j**3 + 0*j**k + j**4 - 3*j**4.
-2*j**2*(j - 1)**2
Let n(p) be the first derivative of -2*p**5/35 + p**4/7 - 3. Determine z so that n(z) = 0.
0, 2
Let k(c) be the first derivative of -4/5*c**5 + 1/3*c**6 - c**2 + 4/3*c**3 + 0*c**4 + 0*c - 1. Find j such that k(j) = 0.
-1, 0, 1
Let y(p) = p**2 + 7*p + 4. Let v be y(-10). Suppose -32*a**3 + 8 + 16*a - 6*a**4 + 22*a**4 + 10*a**2 - v*a**2 + 12*a**5 + 4*a = 0. What is a?
-2, -1, -1/3, 1
Let v be 1 + 2 + (-2)/2. Let j be (8/(-12))/(-1) - (-2)/3. Factor -v*n + j + 2/3*n**2.
2*(n - 2)*(n - 1)/3
Find a such that -6 + 3*a**2 - 8*a + 6 + a**2 = 0.
0, 2
Let u(g) be the third derivative of g**8/112 - g**7/35 - g**6/20 + 2*g**5/5 - 7*g**4/8 + g**3 + 29*g**2. Suppose u(i) = 0. Calculate i.
-2, 1
Let h(i) be the first derivative of -i**6/180 + i**5/30 - 8*i**3/3 + 1. Let l(w) be the third derivative of h(w). Suppose l(q) = 0. Calculate q.
0, 2
Let h(v) be the third derivative of v**7/210 - v**5/20 - v**4/12 + 3*v**2. Factor h(i).
i*(i - 2)*(i + 1)**2
Let l(x) be the first derivative of 7*x**3/30 + x**2/4 - x/5 + 26. Factor l(c).
(c + 1)*(7*c - 2)/10
Let a(y) be the second derivative of y**4/78 + 10*y**3/13 + 225*y**2/13 + 5*y + 2. Factor a(r).
2*(r + 15)**2/13
Let z(g) be the third derivative of g**8/1008 - g**7/210 - g**6/360 + 11*g**5/180 - g**4/6 + 2*g**3/9 - 3*g**2. Let z(p) = 0. What is p?
-2, 1, 2
Let o be (7/(-210))/((-4)/106). Let n = -1/12 + o. Factor n*q**3 - 4/5*q + 0*q**2 - 2/5*q**4 + 2/5.
-2*(q - 1)**3*(q + 1)/5
Let l be (-4)/((4/3)/(22/(-99))). Solve -4/3*h - l*h**2 - 2/3 = 0 for h.
-1
Let v(k) = -2*k**4 + 4*k**2 + 10*k + 4. Let r(t) = 2*t**4 - t**3 - 3*t**2 - 10*t - 4. Let q(h) = -2*r(h) - 3*v(h). Factor q(o).
2*(o - 2)*(o + 1)**3
Let z(k) be the second derivative of 0 + 0*k**2 + 1/9*k**3 - 1/63*k**7 + 1/9*k**4 + 3*k - 2/45*k**6 + 0*k**5. Let z(q) = 0. What is q?
-1, 0, 1
Let i(d) be the first derivative of -4*d**3/3 + 2*d**2 + 7. Factor i(r).
-4*r*(r - 1)
Let a = 34 - 11. Suppose 2 = 5*p + b - a, 3*p = 5*b - 13. Suppose 0*c**3 + 0*c + 2/7*c**p - 2/7*c**5 + 0*c**2 + 0 = 0. What is c?
0, 1
Let c be 1 - 5*(-21)/(-15) - -6. Find g such that 0*g + 58/7*g**3 + 10*g**4 + c + 12/7*g**2 = 0.
-3/7, -2/5, 0
Let v(o) be the second derivative of o**8/840 - o**6/300 - o**2/2 - 2*o. Let a(u) be the first derivative of v(u). Solve a(j) = 0 for j.
-1, 0, 1
Let l(w) = -7*w**4 + 3*w**3 + 7*w**2 + 3*w - 3. Let r(k) = -20*k**4 + 8*k**3 + 20*k**2 + 8*k - 8. Let d(n) = -8*l(n) + 3*r(n). Suppose d(x) = 0. Calculate x.
-1, 0, 1
Factor -85*m - 17 - 12 - 9 + 8 - 25*m**2.
-5*(m + 3)*(5*m + 2)
Let q(f) be the second derivative of -f**8/420 - f**7/140 + f**6/60 + f**5/30 - f**3/6 - 5*f. Let z(u) be the second derivative of q(u). Solve z(i) = 0.
-2, -1/2, 0, 1
Let b be 6/8*8/12. Let f(g) be the first derivative of -g - 6/5*g**5 - 2 + 3/4*g**2 + b*g**4 + 7/3*g**3 - 7/12*g**6. Find y such that f(y) = 0.
-1, 2/7, 1
Let p(v) = v**2. Let f be (-6)/(-4)*6/9. Let o = f - -1. Let j(x) = -2*x**3. Let t(s) = o*p(s) - j(s). Factor t(y).
2*y**2*(y + 1)
Factor -2*a**4 + 0*a**2 - 1/2*a**5 - 2*a**3 + 0*a + 0.
-a**3*(a + 2)**2/2
Let n be 6/(3/(-12)*-42). Solve 0*j - 6/7*j**4 + n*j**3 + 2/7*j**2 + 0 = 0 for j.
-1/3, 0, 1
Let r(m) = -m**5 + m**2 + m + 1. Let u(a) = 50*a**5 - 80*a**4 + 66*a**3 - 38*a**2 - 16*a - 18. Let w(b) = 36*r(b) + 2*u(b). Find s, given that w(s) = 0.
0, 1/4, 1
Suppose 5*w = -0 + 10. Let a(x) = 4*x**4 + 17*x**3 + 5*x**2 - 16*x + 5. Let f(p) = -2*p**4 - 8*p**3 - 2*p**2 + 8*p - 2. Let t(b) = w*a(b) + 5*f(b). Factor t(s).
-2*s*(s - 1)*(s + 2)**2
Factor -8*a**3 + 5*a + 8*a**2 - a - 4*a**4 - 2*a**5 - 5 + 1 + 6*a**5.
