x**4 + 0 + 0*x + 0*x**2 = 0?
0
Let c(r) = 3*r**2 - 11*r. Let n(w) = w**2 - 5*w. Let a(m) = -2*c(m) + 5*n(m). Factor a(f).
-f*(f + 3)
Let m(c) be the third derivative of -c**6/120 + c**5/60 - 7*c**2 - 2. Solve m(w) = 0 for w.
0, 1
Let d(l) be the second derivative of -27*l**7/7 - 39*l**6/5 - 4*l**5 - 2*l**4/3 - 6*l. Find o such that d(o) = 0.
-1, -2/9, 0
Let h = -48 + 50. Let x(l) be the third derivative of -1/60*l**4 + 2*l**h - 1/150*l**5 + 2/15*l**3 + 0 + 0*l. Solve x(m) = 0.
-2, 1
Let b(v) = v**5 + 7*v**4 - 18*v**3 - 24*v**2 + 19*v + 5. Let i(z) = -3*z**4 + 9*z**3 + 12*z**2 - 9*z - 3. Let c(f) = -3*b(f) - 5*i(f). Let c(k) = 0. What is k?
-2, 0, 1
Suppose 5*j + 0*j - 40 = 0. Suppose 0 = -4*v - j, -4*k - 3*v - 6 = k. Factor 1 + k - 7*q**2 + 3*q**3 - 2*q - 7*q**3.
-(q + 1)**2*(4*q - 1)
Let f(n) be the third derivative of n**5/150 + n**4/60 - 42*n**2. Determine i, given that f(i) = 0.
-1, 0
Let w(u) be the third derivative of u**6/660 + 7*u**5/330 + 5*u**4/44 + 3*u**3/11 + 12*u**2. Factor w(t).
2*(t + 1)*(t + 3)**2/11
Let l = -56 + 56. Factor 3/4*c**2 + l + 3/4*c.
3*c*(c + 1)/4
Let d(h) = 10*h**2 - 45*h + 35. Let b(m) = m**2 - 5*m + 4. Let w(s) = 35*b(s) - 4*d(s). Factor w(f).
-5*f*(f - 1)
Factor -48/5*u**3 - 4*u**5 - 32/5*u**2 + 0*u + 0 + 72/5*u**4.
-4*u**2*(u - 2)**2*(5*u + 2)/5
Suppose -3*f = 4*s - 31, s + 14 = 2*s + 2*f. Suppose -5*p + 15 = 5*r, 0*p = 3*r + p - 13. Factor -5*j**s + 5*j**r - 3*j**5 + j**4 + 2*j**3.
2*j**3*(j - 1)**2
Let w be ((-1)/(-2))/((-1)/(-18)). Suppose w = o - 2*a + 3, 2*a - 6 = 0. Solve -o*s**2 + 1 - 9 + 2 + 27*s = 0 for s.
1/4, 2
Factor 6*g**3 + 21*g + 47*g**2 + 6 + 5*g - 15*g**2 + 2*g**3.
2*(g + 3)*(2*g + 1)**2
Suppose y - 2*p = 5, -5*p - 14 = -3*y - 0*p. Factor 0 - 6/5*h**4 + 6/5*h**2 - 3/5*h**5 + 0*h**y + 3/5*h.
-3*h*(h - 1)*(h + 1)**3/5
Suppose 5*w - 2*w = 3*h + 15, 5*w - 21 = h. Let a = -2 + w. Factor -b**a + 10*b**3 - 2*b**2 + 7*b**2.
2*b**2*(5*b + 2)
Let g(s) = 3*s + 8*s**3 + 4*s**4 + 1 - 5*s**2 - 8*s**3. Let r(o) = -7*o**4 + 9*o**2 - 5*o - 2. Let k(v) = -10*g(v) - 6*r(v). Factor k(w).
2*(w - 1)**2*(w + 1)**2
Let d(j) = j**4 + 21*j - 4*j**5 - 20*j + 3*j**5 - 1. Let s(f) = -6*f**5 + 7*f**4 - 2*f**2 + 6*f - 5. Let a(c) = -15*d(c) + 3*s(c). Suppose a(u) = 0. What is u?
-1, 0, 1
Let m be ((-20)/16)/(3/24). Let z be (-4)/(-40) + (-4)/m. Factor 0 + z*t**2 + 0*t - 1/2*t**3.
-t**2*(t - 1)/2
Let a(p) be the third derivative of p**7/70 + p**6/40 - 3*p**5/20 - 5*p**4/8 - p**3 + 16*p**2. Factor a(b).
3*(b - 2)*(b + 1)**3
Solve 2*l**5 + 65*l**2 + 100*l - 35*l**4 - 4*l**5 + 26 - 6 - 70*l**3 + 22*l**5 = 0 for l.
-1, -1/4, 2
Let k(j) = -5*j**2 - j + j**2 + 1 + 3*j**2. Let m(i) = -2*i**3 - 4*i**2 - 2*i + 4. Let o(w) = 4*k(w) - m(w). Factor o(c).
2*c*(c - 1)*(c + 1)
Determine c so that 2/3*c**2 + 1/3*c**5 - 2/3*c**4 - 1/3*c**3 + 0 + 0*c = 0.
-1, 0, 1, 2
Let p(i) be the first derivative of 9/2*i**6 + 0*i - 15/4*i**4 - 6*i**2 + 3 - 36/5*i**5 + 12*i**3. Find g such that p(g) = 0.
-1, 0, 2/3, 1
Suppose q - d = 6, -q + 3*d + 1 = -13. Suppose 0*i - q = -i. Factor 6*z + 2*z**2 + 4*z**i + 3 + 2*z**3 + 0 - 1.
2*(z + 1)**3
Let d(k) be the first derivative of 3*k**4/8 - 3*k**2/4 - 9. Factor d(i).
3*i*(i - 1)*(i + 1)/2
Let a(s) be the first derivative of -2*s + 1/3*s**3 - 1 - 1/2*s**2. Factor a(o).
(o - 2)*(o + 1)
Let v(l) = -l + 5. Let h be v(5). Let a(b) be the third derivative of 0*b - 1/4*b**4 - 1/3*b**3 + 2*b**2 + h - 1/15*b**5. Solve a(u) = 0 for u.
-1, -1/2
Factor -6/7*q + 0 + 33/7*q**4 + 3*q**2 + 60/7*q**3.
3*q*(q + 1)**2*(11*q - 2)/7
Determine u, given that 3/5 - 1/5*u**3 + u + 1/5*u**2 = 0.
-1, 3
Let f(h) be the first derivative of h**4/4 - h + 2. Let k(n) = 6*n**3 - n - 5. Let u(g) = -5*f(g) + k(g). Determine l so that u(l) = 0.
-1, 0, 1
Let y = 27/58 - 5273/11078. Let v = 356/2483 - y. Find s, given that 4/13*s**2 + 0*s - v - 2/13*s**4 + 0*s**3 = 0.
-1, 1
Let v(b) be the first derivative of b**6/6 - 9*b**5/20 + b**4/8 + 25. Factor v(c).
c**3*(c - 2)*(4*c - 1)/4
Let i(h) be the third derivative of -h**6/120 - h**5/60 - h**4/6 + h**3/6 + 3*h**2. Let w(m) = -m**3 - m**2 - 3*m + 1. Let c(q) = -4*i(q) + 5*w(q). Factor c(u).
-(u - 1)*(u + 1)**2
Suppose 5*d - 5*r = -100, 3*d + 32 = -3*r - 58. Let o be (8/10)/((-10)/d). Factor -1 + s**o + 6*s - 6*s.
(s - 1)*(s + 1)
Suppose 9 = i - 3*d, -11 = -6*i + 3*i + d. Suppose 3*r + 5 = -2*p, -i*p - 5*r - 3 = -2*r. Factor -1 - 2*s - 2*s**2 + 5*s**2 - 2*s**p + 2.
(s - 1)**2
Let p(s) be the third derivative of -s**8/336 - s**7/70 + s**6/120 + 7*s**5/60 - 2*s**3/3 - 8*s**2. Factor p(w).
-(w - 1)**2*(w + 1)*(w + 2)**2
Suppose -8*v = -3*v - 10. Let m be 16/40 + v/(-30). Factor 1/3 - m*r**2 - 1/3*r**3 + 1/3*r.
-(r - 1)*(r + 1)**2/3
Let u(v) be the first derivative of -5*v**6/48 + 7*v**5/40 - v**4/16 - 25. Let u(k) = 0. What is k?
0, 2/5, 1
Let n(c) = 8*c**2 + 2*c. Let j(b) = -9*b**2 - 3*b. Let k(d) = -6*j(d) - 7*n(d). What is x in k(x) = 0?
0, 2
Let t(l) be the third derivative of -l**6/1260 + l**4/84 + l**3/2 + l**2. Let i(x) be the first derivative of t(x). Determine c, given that i(c) = 0.
-1, 1
Let a(y) be the third derivative of 3*y**6/280 + y**5/35 - y**4/56 - y**3/7 - 3*y**2. Find d such that a(d) = 0.
-1, 2/3
Let i(r) = 38*r**4 - 82*r**3 - 217*r**2 + 307*r + 120. Let s(t) = 13*t**4 - 27*t**3 - 72*t**2 + 102*t + 40. Let j(x) = -2*i(x) + 7*s(x). Factor j(c).
5*(c - 2)**2*(c + 2)*(3*c + 1)
Let -12*y**4 + 0*y - 4*y + 7*y**3 - 4*y**3 + 13*y**4 = 0. Calculate y.
-2, 0, 1
Suppose -3 = -3*c + 6. Suppose -2*y - c = -9. Suppose -1/2*x**5 + 0*x**2 + 0*x**4 + x**y + 0 - 1/2*x = 0. Calculate x.
-1, 0, 1
Solve 9/4*j**2 - 27/4*j**5 - 81/4*j**4 + 3/2*j - 51/4*j**3 + 0 = 0.
-2, -1, -1/3, 0, 1/3
Suppose 9 - 3 = m. Suppose m*k = 2*k + 12. Factor -6/5*q**2 + 3/5*q + 3/5*q**4 - 6/5*q**k + 3/5 + 3/5*q**5.
3*(q - 1)**2*(q + 1)**3/5
Factor -17 + 3*q**2 + 7 + 4 + 3*q.
3*(q - 1)*(q + 2)
Let t(n) be the third derivative of n**9/7560 + n**8/840 + n**7/252 + n**6/180 + n**4/24 - n**2. Let b(d) be the second derivative of t(d). Factor b(p).
2*p*(p + 1)**2*(p + 2)
Suppose v = -3*v + 28. Let w = 22/3 - v. Let -2/3 + u**2 - w*u = 0. What is u?
-2/3, 1
Let z(x) = -x - 13. Let p be z(-11). Let a be 2 + p/(-6)*3. Factor 4/9*q**a + 2/9*q**5 + 4/9*q**2 - 2/3*q - 2/3*q**4 + 2/9.
2*(q - 1)**4*(q + 1)/9
Let r = 8 - 4. Let t(q) be the second derivative of 2/15*q**6 + 1/21*q**7 + q - 1/3*q**r + 0 + 0*q**5 - 1/3*q**3 + 0*q**2. Determine j, given that t(j) = 0.
-1, 0, 1
Let r(p) = -p**3 - 13*p**2 + 12. Let q(j) = j**3 + 25*j**2 - 24. Let o(h) = -4*q(h) - 7*r(h). Factor o(a).
3*(a - 2)**2*(a + 1)
Let r(j) = j**3 + 6*j**2 + 7*j - 2. Let k be r(-4). Suppose 4*t - 6*f + k*f - 4 = 0, -2*t - 2*f = 2. Factor 3/5*g**3 + 6/5*g**4 + 3/5*g**5 + 0 + t*g + 0*g**2.
3*g**3*(g + 1)**2/5
Suppose -2*o - l - 3*l = 6, 2 = -o - l. Let q be o/(0 - -1) + 1. Let q*m**3 + 2*m**5 - m**3 + m**4 - m**2 - m**5 + 0*m**2 = 0. What is m?
-1, 0, 1
Let p be (4/(-18))/(1/(-2 - 0)). Factor -2/9 + 4/9*s - p*s**3 + 2/9*s**4 + 0*s**2.
2*(s - 1)**3*(s + 1)/9
Let s(j) be the third derivative of 0*j**3 + 0*j - 1/5*j**5 + 3*j**2 + 0 + 3/70*j**7 + 1/112*j**8 + 0*j**6 + 0*j**4. Factor s(r).
3*r**2*(r - 1)*(r + 2)**2
Let z(w) = 3*w. Let o be z(5). Let p be o/3 + (-2 - -1). Factor v**4 - 2*v**4 + 2*v**3 + 0*v**p - v**2.
-v**2*(v - 1)**2
Let z = 49 - 28. Suppose -4*l = 5*s - z, -4*s - s = -5. Suppose -25/6*f**l + 11/6*f**2 + 2*f - 2/3 - 5*f**3 = 0. What is f?
-1, 2/5
Let k be -2 - (7 + -5 - 330/81). Let g(t) be the first derivative of 0*t**2 - 2/9*t + 2 + k*t**3. Factor g(v).
2*(v - 1)*(v + 1)/9
Factor 4/3 + 4/3*q**2 + 2*q**3 - 14/3*q.
2*(q - 1)*(q + 2)*(3*q - 1)/3
Let f(z) be the second derivative of -z**9/37800 - z**8/8400 + z**6/900 + z**5/300 + z**4/12 - z. Let w(m) be the third derivative of f(m). Factor w(y).
-2*(y - 1)*(y + 1)**3/5
Let v(m) be the second derivative of -m**6/30 + 2*m**4/3 - 4*m**2 - 6*m. Let r(q) be the first derivative of v(q). Factor r(a).
-4*a*(a - 2)*(a + 2)
Let i = -11 + 7. Let t(n) = 6*n**3 - n**2 - 6*n + 6. Let z(f) = 5*f**3 - f**2 - 5*f + 5. Let v(x) = i*t(x) + 5*z(x). Let v(u) = 0. Calculate u.
-1, 1
Let q = -214/3 + 72. Let c(w) be the first derivative of 0*w**2 + q*w - 4 - 2/9*w**3. Determine y, given that c(y) = 0.
-1, 1
Let q = -29 + 32. Let o(b) 