 8/3*i**2 + 2/3*i**5 + 0 = 0.
-1, 0
Let b(m) = -m**4 + m**3 + m**2 - m + 1. Let a(h) = 4*h**4 - 7*h**3 - 4*h**2 + 7*h - 5. Let i(c) = -2*a(c) - 10*b(c). Factor i(l).
2*l*(l - 1)*(l + 1)*(l + 2)
Let i(v) = -v - 5. Let p be i(-5). What is t in -t**2 + 8*t - 11*t + p - 2 = 0?
-2, -1
Let m be (-4 - 1)*6/3. Let v = m - -13. Factor h**2 + 0 + 1/3*h + 1/3*h**4 + h**v.
h*(h + 1)**3/3
Factor -24/7 - 6/7*u + 3/7*u**2.
3*(u - 4)*(u + 2)/7
Let t(v) be the second derivative of v**6/20 - v**4/4 + 3*v**2/4 + 5*v. Factor t(f).
3*(f - 1)**2*(f + 1)**2/2
Let u(g) be the third derivative of 1/1008*g**8 + 0*g**3 + 0 + 2/315*g**7 - 1/18*g**4 + 0*g + g**2 + 1/120*g**6 - 1/45*g**5. Determine s so that u(s) = 0.
-2, -1, 0, 1
Let n = 100 + -38. Let k = n - 247/4. Determine s, given that -k*s**2 - 1/4*s + 0 = 0.
-1, 0
Let t be -4 + (-2 - (-14 + 4)) - 1. Let k(l) be the second derivative of -1/7*l**2 + 0*l**t + 3*l + 1/42*l**4 + 0. Determine g so that k(g) = 0.
-1, 1
Let z(v) = v**3 - 12*v**2 - 6*v + 17. Let g(b) = 6*b**2 + 3*b - 9. Let s(m) = 5*g(m) + 3*z(m). Factor s(k).
3*(k - 2)*(k - 1)*(k + 1)
Let v be ((-2)/3)/(2/24). Let r be -4*(-4)/v - -6. Factor 8/11*z**5 - 2/11*z**3 + 0*z + 0*z**2 + 6/11*z**r + 0.
2*z**3*(z + 1)*(4*z - 1)/11
Let z(i) be the second derivative of -i**5/20 + i**3/2 + i**2 + 12*i. Factor z(s).
-(s - 2)*(s + 1)**2
Let k(n) = 3*n**3 - 23*n**2 + 4*n - 6. Let t(l) = 5*l + l**3 - 3*l - 8*l**2 - l - 2 + 0*l**3. Let c(a) = -4*k(a) + 11*t(a). Factor c(g).
-(g - 2)*(g - 1)**2
Let z(x) = -x + 15. Let g be z(15). Factor 2/7*l**2 - 4/7*l + g.
2*l*(l - 2)/7
Let a(k) be the third derivative of -k**6/1080 - k**5/120 - k**4/36 + 2*k**3/3 - 3*k**2. Let o(t) be the first derivative of a(t). Find p, given that o(p) = 0.
-2, -1
Let f(q) be the third derivative of -q**6/36 - 49*q**5/45 - 115*q**4/9 + 200*q**3/9 + 55*q**2. Let f(r) = 0. What is r?
-10, 2/5
Let t = -8 - -12. Suppose 3*p - 2 = t. Factor 14 - 14 + p*q**2.
2*q**2
Find q such that 2/7*q**3 - 2/7*q**2 + 0 + 6/7*q**5 + 10/7*q**4 + 0*q = 0.
-1, 0, 1/3
Let m(k) be the third derivative of 0 + 0*k + 1/36*k**4 + 1/90*k**5 - 2*k**2 - 2/9*k**3. Factor m(a).
2*(a - 1)*(a + 2)/3
Determine o so that 3/7 + 507/7*o**2 + 78/7*o = 0.
-1/13
Let m(i) = 4*i**3 + 8*i**2 + 8*i + 4. Let k(o) = -o - 1. Let g(n) = 12*k(n) + m(n). Factor g(y).
4*(y - 1)*(y + 1)*(y + 2)
Let f(g) be the third derivative of g**5/120 + g**4/24 - g**3/4 - 3*g**2. Solve f(o) = 0.
-3, 1
Let g(l) be the third derivative of -4/15*l**3 + 1/15*l**4 + 2*l**2 - 1/150*l**5 + 0 + 0*l. Determine i so that g(i) = 0.
2
Let r = 8 + -3. Factor r*x**2 - 3 + 1 - 4*x + 3*x - 4*x**2.
(x - 2)*(x + 1)
Let i(j) be the second derivative of 2*j + 0*j**2 + 0*j**4 - 1/84*j**7 - 1/40*j**5 - 1/30*j**6 + 0*j**3 + 0. Factor i(w).
-w**3*(w + 1)**2/2
Let b(p) = -p**2 + 6*p + 2. Let z be b(6). Factor -2*y**2 + y**2 - 4*y**2 - 4*y + 7*y**2 + z.
2*(y - 1)**2
Let v = -40 - -41. Let a(m) be the first derivative of 3/8*m**2 - 9/20*m**5 + 11/12*m**3 + 5/12*m**6 - v - 13/16*m**4 - 1/2*m. Find x, given that a(x) = 0.
-1, -1/2, 2/5, 1
Let l be -4 - -9 - (-12)/(-4). Let n(t) be the third derivative of 1/300*t**6 - 1/60*t**4 + 0*t - l*t**2 + 0*t**3 + 0 + 0*t**5. Factor n(h).
2*h*(h - 1)*(h + 1)/5
Let k(x) be the first derivative of -x**6/10 - 3*x**5/5 - 27*x**4/20 - 7*x**3/5 - 3*x**2/5 - 10. Factor k(f).
-3*f*(f + 1)**3*(f + 2)/5
Factor -5*u**2 + 9*u**2 + 15*u - 3*u**3 + 0*u**3 - 9 - 7*u**2.
-3*(u - 1)**2*(u + 3)
Factor 4/3*o + 2 + 2/3*o**4 - 4/3*o**3 - 8/3*o**2.
2*(o - 3)*(o - 1)*(o + 1)**2/3
Find v, given that 2*v**3 + 2*v**3 - 4*v**2 - 4*v**5 - 60*v**4 + 64*v**4 = 0.
-1, 0, 1
Let a(w) = -w + 1. Let k(r) = 2*r**2 + 14*r + 2. Let d(n) = -6*a(n) - k(n). Factor d(y).
-2*(y + 2)**2
Let w be -2 - ((-483)/240)/1. Let x(y) be the second derivative of -5*y + 1/16*y**4 + 0 + 0*y**2 + 1/12*y**3 + w*y**5. Suppose x(n) = 0. Calculate n.
-2, -1, 0
Suppose -5 = 4*c - 0*c + v, 0 = -5*c + 4*v + 20. Suppose -3*q + 0*q = c. Suppose -2/5*s**3 + 3/5*s**2 - 3/5*s**4 + q + 2/5*s = 0. What is s?
-1, -2/3, 0, 1
Find f such that 4/7 + 12/7*f + 4/7*f**3 + 12/7*f**2 = 0.
-1
Suppose 2 = -h - 3*a, 0 = 4*h + a + a - 2. Suppose -5*r - 2 = -2*o + h, 0 = -2*o - r + 9. Factor -c**o - 4*c**4 + 2*c**4 + 3*c**2 - 2*c + 2*c**3.
-c*(c - 1)*(c + 1)*(3*c - 2)
Let d(l) be the third derivative of l**6/15 - l**5/10 - l**4/12 + l**2. Factor d(m).
2*m*(m - 1)*(4*m + 1)
Factor -7*m**2 - 1/2*m**5 + 1/2*m**4 - 3/2 + 3*m**3 + 11/2*m.
-(m - 1)**4*(m + 3)/2
Let p = 22 + -20. Let r(y) be the first derivative of 0*y**2 - p - 1/5*y**5 - 1/6*y**6 + 0*y + 1/4*y**4 + 1/3*y**3. Factor r(c).
-c**2*(c - 1)*(c + 1)**2
Let j(h) be the third derivative of h**5/30 - 2*h**4/3 + 16*h**3/3 + 7*h**2. Factor j(z).
2*(z - 4)**2
Let l be ((-8)/10)/((-10)/25). Let a be 4 - 0 - 4/l. Suppose b**2 + b**a - 2*b + b**2 + 2*b**2 = 0. What is b?
0, 2/5
Let f(m) be the first derivative of -m**9/3024 + m**8/1680 + m**7/840 - m**6/360 + 2*m**3/3 - 1. Let l(d) be the third derivative of f(d). Factor l(y).
-y**2*(y - 1)**2*(y + 1)
Let k(c) = 3*c**2 - 7*c + 6. Let t be k(6). Let n = t + -214/3. Solve 0 - 2/3*d**2 + 2/3*d + n*d**4 - 2/3*d**3 = 0 for d.
-1, 0, 1
Let y be 1*3 - (0 - -1). Factor 0*x + 4*x**2 - 2*x**y + 2*x**3 + 2*x + 2*x**2.
2*x*(x + 1)**2
Let b(z) = -2*z**2 - 9*z - 4. Let c(m) = 30*m + 16*m + 13 + 20 - 13 + 10*m**2. Let w(o) = -16*b(o) - 3*c(o). Solve w(t) = 0.
-2, -1
Let u be 2*(-1 - (-1 - 1)). Let n be ((-3)/u)/(3/(-4)). Factor 0*b - 2/3*b**n + 0*b**3 + 0 + 2/3*b**4.
2*b**2*(b - 1)*(b + 1)/3
Suppose 26/5*x**4 - 44/5*x**3 + 2/5 - 6/5*x**5 - 14/5*x + 36/5*x**2 = 0. Calculate x.
1/3, 1
Suppose -2*y = y - 6. Let -6*q**2 - 4*q - q**4 - y*q - 1 + 2*q - 4*q**3 = 0. Calculate q.
-1
Suppose -2*n = 28*n. Determine a so that 0 + n*a**2 + 0*a - 3/4*a**3 + 0*a**4 + 3/4*a**5 = 0.
-1, 0, 1
Let o = -45839/3 + 15480. Let n = 207 - o. Factor -56/9*q**3 - n*q**4 - 16/9*q**2 - 2*q**5 + 0 + 0*q.
-2*q**2*(q + 2)*(3*q + 2)**2/9
Let c be (0 + -2)/((-4)/6). Suppose r**4 + 8*r**3 - 11*r**c - 5*r**4 + r**2 = 0. What is r?
-1, 0, 1/4
Let c(v) be the second derivative of 5*v**3 - 3/2*v**2 - 33/4*v**4 + 0 - 2*v + 6*v**5 - 8/5*v**6. Suppose c(u) = 0. What is u?
1/4, 1
Let v(b) = b**3 - 11*b**2 + b - 9. Let n be v(11). Let r be 26/(-13)*(-1)/6. Factor 1/3 + 2/3*w + r*w**n.
(w + 1)**2/3
Let i(o) be the second derivative of -o**5/80 - o**4/16 - o**3/8 - o**2/8 + 9*o. Factor i(s).
-(s + 1)**3/4
Let v be ((-6)/(-15))/(2/(-20)*-2). Factor 0*f - 15/4*f**4 + 0 + 3/2*f**v + 9/4*f**3.
-3*f**2*(f - 1)*(5*f + 2)/4
Let v = 14 - 4. Let p = -7 + 11. Factor -r**p - v*r**3 - r**2 + 12*r**3 + 0*r**2.
-r**2*(r - 1)**2
Let v(s) be the first derivative of s**4/5 + 7*s**3/15 - s**2/5 + 2. Let v(g) = 0. What is g?
-2, 0, 1/4
Let c(i) be the second derivative of 3/80*i**5 - i + 0 - 1/12*i**4 + 0*i**2 - 1/6*i**3. Find l, given that c(l) = 0.
-2/3, 0, 2
Let 1/3*m - 2/3*m**2 - 2/3*m**3 + 1/3 + 1/3*m**5 + 1/3*m**4 = 0. What is m?
-1, 1
Factor -62*k**3 + 0*k**2 - 10*k**2 - 2*k**2 - 34*k**3 - 147*k**5 - 231*k**4.
-3*k**2*(k + 1)*(7*k + 2)**2
Let j(b) = 6*b**3 + 9*b**2 + 6*b. Let v(y) = -5*y**3 - 8*y**2 - 5*y. Let m(n) = 2*j(n) + 3*v(n). What is a in m(a) = 0?
-1, 0
Let a(g) be the first derivative of 3/2*g**2 + 2*g**3 - 21/4*g**4 + 12/5*g**5 + 4 + 0*g. What is v in a(v) = 0?
-1/4, 0, 1
Let u = -17 + 14. Let v be (-5 + (1 - u))*-4. Let 0 + 1/3*k**v - 2/3*k + 5/3*k**2 - 4/3*k**3 = 0. Calculate k.
0, 1, 2
Solve 4*p**4 + 0 + 16/3*p**5 - 4/3*p**3 + 0*p**2 + 0*p = 0.
-1, 0, 1/4
Let s(x) be the first derivative of 0*x**3 - 3 + 0*x + 0*x**2 + 1/8*x**4. Factor s(m).
m**3/2
Let s(o) = -2*o**3 - 4*o - 4. Let j(t) = -2*t**3 + t**2 - 3*t - 3. Let r(n) = 4*j(n) - 3*s(n). Solve r(z) = 0 for z.
0, 2
Suppose k - 4*i = -2*k + 10, 0 = 2*k + 2*i - 2. Solve 1/4 + 4*j**2 + k*j = 0.
-1/4
Factor 1/3*l**3 - 1/6 - 1/2*l - 1/3*l**2 + 1/6*l**5 + 1/2*l**4.
(l - 1)*(l + 1)**4/6
Let a(v) be the third derivative of 4/45*v**5 + 1/945*v**7 + v**2 - 2/135*v**6 + 16/27*v**3 + 0 - 8/27*v**4 + 0*v. Factor a(t).
2*(t - 2)**4/9
Let z be (2*-1)/(30/(-5)). Determine c so that -1/6*c + 0*c**3 + 1/3*c**4 + 1/6*c**5 + 0 - z*c**2 = 0.
-1, 0, 1
Let b(g) = 29*g**2 - 24*g + 1. Let l(u) = 29*u**2 - 25*u. Let p(v) = -4*b(v) + 6*l(v). Factor p(s).
2*(s - 1)*(29*s + 2)