 4/9*d**2 + 4/9 = 0.
-2, -1, 1
Suppose -2*y - y = 0. Factor 0*d + d**2 + y*d**2 + 1 + 2*d.
(d + 1)**2
Let l(z) be the first derivative of -2*z**3/15 - z**2/5 + 4*z/5 + 5. Factor l(m).
-2*(m - 1)*(m + 2)/5
Let n be (-2 - 5/(-3))/((-2)/12). Factor -n*h**4 - 3*h**3 + 0 - 2*h**2 - 1/2*h - 1/2*h**5.
-h*(h + 1)**4/2
Let k(m) be the first derivative of -m**9/3024 + m**8/1680 - m**3 + 3. Let d(t) be the third derivative of k(t). Factor d(u).
-u**4*(u - 1)
Suppose -2*k - 22 = -4*r, -5*r + 8 + 6 = 2*k. Let y = -3 + r. Determine a, given that 0*a + 8*a - 1 + 2*a**2 - 8*a**3 - y = 0.
-1, 1/4, 1
Let t(z) = -z**5 + 40*z**4 - 123*z**3 + 160*z**2 - 97*z + 27. Let p(m) = m**5 - m**3 + m + 1. Let w(a) = -3*p(a) + t(a). Solve w(y) = 0 for y.
1, 6
Factor -123*v**5 + 47*v**5 - 90*v**4 - 8*v**2 - 46*v**3 - 2*v**3 + 26*v**5.
-2*v**2*(v + 1)*(5*v + 2)**2
Solve -2*u**3 + 2 - 3*u**2 + 3*u - 2 + 3*u**3 - 1 = 0.
1
Factor 2*l**3 - l**4 - l**4 + l**2 + l**2 + 0*l**2 - 2*l**5.
-2*l**2*(l - 1)*(l + 1)**2
Let o = 9/56 - 19/140. Let q(u) be the third derivative of -1/300*u**5 - 1/15*u**3 + 0*u + 4*u**2 + 0 + o*u**4. Factor q(w).
-(w - 2)*(w - 1)/5
Let 0 - 5/2*v**5 + 15/2*v**2 - 5/2*v**3 + 5*v - 15/2*v**4 = 0. What is v?
-2, -1, 0, 1
Factor 0 + 6/7*m + 2/7*m**2.
2*m*(m + 3)/7
Let n = 3/280 + 137/280. Find j, given that j + 0 + n*j**2 - 1/2*j**3 = 0.
-1, 0, 2
Let b be ((-7)/(-28))/(10/16). Find v such that 0 + b*v**2 + 2/5*v = 0.
-1, 0
Let t(j) be the first derivative of -j**4/4 - 2*j**3 - j**2 - 9*j - 2. Let n be t(-6). What is u in -3*u - 7*u**3 + 5*u**2 - 2 - n*u**2 + 10*u**2 = 0?
-2/7, 1
Suppose 5*a = a + 16. Let f = a + -4. Factor 0 - 1/3*l**5 + 0*l**2 + f*l - 1/3*l**4 + 0*l**3.
-l**4*(l + 1)/3
Let p(d) be the second derivative of -d**4/36 + 3*d - 8. Factor p(q).
-q**2/3
Let n(t) be the first derivative of -8/9*t + 5 + 2/9*t**3 + 2/45*t**5 - 2/9*t**4 + 4/9*t**2. Determine h so that n(h) = 0.
-1, 1, 2
Let u(k) be the third derivative of -k**8/1512 - 5*k**7/189 - 25*k**6/54 - 125*k**5/27 - 3125*k**4/108 - 3125*k**3/27 + 57*k**2. Factor u(v).
-2*(v + 5)**5/9
Let n(f) be the second derivative of -3/2*f**2 - 4*f + 7/4*f**4 + 0 + f**3 + 3/5*f**5. Suppose n(c) = 0. Calculate c.
-1, 1/4
Let q(g) = -4*g**2 + 18*g + 4. Let j = 2 - 0. Let n(p) = p**j + 3*p - 4*p - 1 - 5*p. Let c(f) = 8*n(f) + 3*q(f). Factor c(u).
-2*(u - 2)*(2*u + 1)
Let l(v) be the first derivative of -3*v + 2 + 1/6*v**3 + 1/2*v**2 + 1/48*v**4. Let p(t) be the first derivative of l(t). Factor p(n).
(n + 2)**2/4
Let f(j) be the first derivative of -4*j**3/3 - 6*j**2 - 8*j - 2. Suppose f(k) = 0. Calculate k.
-2, -1
Factor 0*y**2 + 0*y + 2/5*y**4 + 0 + 2/5*y**5 + 0*y**3.
2*y**4*(y + 1)/5
Let s(b) = -b**2 + 8*b. Let v(w) = -2*w**2 + 15*w. Let h(m) = 5*s(m) - 3*v(m). Let x(t) = 2*t**2 - 9*t. Let j(z) = -7*h(z) + 4*x(z). Factor j(c).
c*(c - 1)
Factor 14 - 8 + 105*k + 351*k**2 + 0.
3*(9*k + 2)*(13*k + 1)
Let d(c) = 3*c**3 + 9*c + 6. Let q(h) = -h**3 - h - 1. Suppose 2*b + 4 = -2*b. Let p(k) = b*d(k) - 6*q(k). Factor p(x).
3*x*(x - 1)*(x + 1)
Find x such that -3*x - 7*x**2 - x**3 + 7*x + 16 + 2*x**3 + 4*x = 0.
-1, 4
Let z(q) = 8*q**3 - 8*q**2 - 8*q + 20. Let k(a) = -3*a**3 + 3*a**2 + 3*a - 8. Let c(o) = -12*k(o) - 5*z(o). Find g, given that c(g) = 0.
-1, 1
Let l be (1/2)/(3/66). Let r = l - 8. Factor -5*v**3 - v**3 - v + 5*v**3 + 2*v**r.
v*(v - 1)*(v + 1)
Let c(z) be the second derivative of z**9/6048 + z**8/1120 + z**7/840 - z**3/2 - 3*z. Let m(i) be the second derivative of c(i). Factor m(f).
f**3*(f + 1)*(f + 2)/2
Let z be (12/30)/((-2)/(-10)). Determine o, given that -38*o**z - 12*o**3 - 27*o + 6*o**2 - 4*o**2 = 0.
-3/2, 0
Let m(b) be the third derivative of 2/9*b**3 + 1/90*b**5 + 3*b**2 + 0*b + 0 - 5/36*b**4 + 1/90*b**6. What is r in m(r) = 0?
-2, 1/2, 1
Let n = -19 + 21. Determine c so that -n*c - 10*c - 16*c**3 - 20*c**2 - 4*c**4 + 4*c = 0.
-2, -1, 0
Suppose d + 2*n = 12, 7 = -d + 5*n - 9. Factor -8*i + d + 2 + 3*i**2 + 2*i - 3*i.
3*(i - 2)*(i - 1)
Let n be (1 - 0) + 6 + -1. Let c = 10 - n. Factor 3*t**2 - 5*t**2 + c*t**2 + 4*t**3.
2*t**2*(2*t + 1)
Let c be ((-4)/(-8))/((-2)/(-24)). Solve c*n - 4 + 2*n**3 + 6*n**2 + 0*n + 6 = 0.
-1
Let k(w) be the third derivative of 1/15*w**5 + 1/6*w**4 + 8*w**2 - 4/3*w**3 + 0 + 0*w. Factor k(t).
4*(t - 1)*(t + 2)
Factor 459*g + 3*g**2 + 405 + 2*g**2 - 369*g.
5*(g + 9)**2
Let o be (-18)/6 + (-144)/(-30). Let m(y) be the first derivative of 1/5*y**3 + o*y**2 + 27/5*y + 2. Factor m(b).
3*(b + 3)**2/5
Let k = 89/72 + -10/9. Let d(b) be the second derivative of -k*b**2 + 1/12*b**3 + 0 + 2*b - 1/48*b**4. Factor d(l).
-(l - 1)**2/4
What is q in 4*q**3 - 7*q**4 + 7*q**4 - 4*q - 2 + 2*q**4 = 0?
-1, 1
Let t(y) = -y**4 - y**3 - y**2 + 1. Let a(q) = -10*q**4 - 20*q**3 - 26*q**2 - 11*q + 5. Let i(o) = -2*a(o) + 14*t(o). Let i(u) = 0. Calculate u.
-2, -1, -1/3
Let o(y) = y**3 + 4*y**2 + 3*y + 4. Let n(t) = 2*t**3 + 7*t**2 + 5*t + 7. Let b(p) = -4*n(p) + 7*o(p). Factor b(j).
-j*(j - 1)*(j + 1)
Let z be (-104)/(-28) - 4/(-14). Factor -3*f**z - 3*f**5 + 4*f**4 - f**5.
-f**4*(4*f - 1)
Let t be 0/2*3/(-6). Suppose -30 = -t*z - 3*z. Suppose -3 - 4*w**3 + 12*w - 8*w**5 + 1 - 6*w**2 - z*w**2 + 18*w**4 = 0. Calculate w.
-1, 1/4, 1
Find w, given that -7*w**4 + 4*w**2 + w**4 - 8*w - w**4 + 8*w**3 + 3*w**4 = 0.
-1, 0, 1, 2
Let i(p) be the third derivative of p**6/30 + p**5/15 - p**4/6 - 2*p**3/3 + 6*p**2. Solve i(r) = 0 for r.
-1, 1
Let r(s) be the third derivative of s**9/151200 - s**8/25200 + s**7/12600 - s**5/12 + s**2. Let y(g) be the third derivative of r(g). Factor y(k).
2*k*(k - 1)**2/5
Let p(m) be the third derivative of -m**7/10080 - m**4/6 - 2*m**2. Let g(o) be the second derivative of p(o). Find k such that g(k) = 0.
0
Factor -b - b**2 + 190*b**3 - b - 189*b**3.
b*(b - 2)*(b + 1)
Let v be (15/1090)/((-6)/(-8)). Let c = v - -537/436. Factor c*d - 1/4 - 3/4*d**2 - 5/4*d**3 + d**4.
(d - 1)**2*(d + 1)*(4*d - 1)/4
Suppose 5*s + 38 - 91 = -4*c, -5*c = 3*s - 63. Factor -c - 4/3*f**2 + 8*f.
-4*(f - 3)**2/3
Let w(l) be the second derivative of 1/4*l**4 + 0*l**2 + 0 + 3/10*l**5 - 1/10*l**6 - 3*l - l**3. Let w(v) = 0. What is v?
-1, 0, 1, 2
Let l = -4067/949 - -55/13. Let n = 126/365 - l. Suppose -2/5*p + 4/5*p**4 + n*p**5 + 0 + 0*p**3 - 4/5*p**2 = 0. What is p?
-1, 0, 1
Let p(b) be the second derivative of b**4/42 - b**3/42 - b**2/14 + 10*b. Factor p(a).
(a - 1)*(2*a + 1)/7
Let c(a) be the first derivative of -5*a**3/3 - 10*a**2 + 25*a - 4. Factor c(d).
-5*(d - 1)*(d + 5)
Let o(g) be the second derivative of 0 - g + 0*g**2 - 1/40*g**5 + 0*g**3 + 1/12*g**4. Factor o(p).
-p**2*(p - 2)/2
Factor 14/5*d + 1/5*d**2 + 49/5.
(d + 7)**2/5
Let d be -1 - (17*15 - -3). Let l = d - -1817/7. Factor l + 2/7*b**2 + 6/7*b.
2*(b + 1)*(b + 2)/7
Factor 5*o**2 - 127 + 127 - 4*o - o.
5*o*(o - 1)
Let o be (-3)/1*(-4)/6. Factor -2*n**2 - n**5 - 14*n**3 - 5*n**4 + 6*n**3 - o*n**2.
-n**2*(n + 1)*(n + 2)**2
Let f(y) be the first derivative of 0*y - 1/6*y**2 - 1/18*y**6 + 0*y**5 - 2 + 0*y**3 + 1/6*y**4. Factor f(z).
-z*(z - 1)**2*(z + 1)**2/3
Let p(a) be the first derivative of -5*a**4/4 - 5*a**3 + 45*a**2/2 - 25*a - 5. Suppose p(s) = 0. What is s?
-5, 1
Let r = 1269/10 - 253/2. What is z in 1/5*z**2 + 0 + r*z = 0?
-2, 0
Suppose 2 = -3*l + 4*f, l + f + 8 = 6*f. Factor 0*y**5 + 2*y**5 + 5*y**2 - 2*y + y**5 - 5*y**4 + 0*y**l - y**3.
y*(y - 1)**2*(y + 1)*(3*y - 2)
Let g(t) be the second derivative of 3/20*t**5 - 6*t + 0*t**4 + 0*t**2 + 0 + 0*t**3 + 1/14*t**7 + 1/5*t**6. Determine q so that g(q) = 0.
-1, 0
Let n = 1471/20 - 364/5. Find c, given that 1/4*c**5 - 5/4*c**2 - n*c**3 - 1/2*c + 1/4*c**4 + 0 = 0.
-1, 0, 2
Let h = 4/3 + -53/42. Let f(d) be the second derivative of -1/3*d**3 + 2*d + 0 + 0*d**2 - 3/4*d**4 - 3/4*d**5 - 11/30*d**6 - h*d**7. Factor f(w).
-w*(w + 1)**3*(3*w + 2)
Let a(p) be the first derivative of -2 - 2/3*p**3 + 3*p**2 - 4*p. Factor a(h).
-2*(h - 2)*(h - 1)
Let m be ((-171)/(-6))/((-26)/16). Let w = m - -2104/117. Factor w + 2/9*v**3 - 2/3*v + 0*v**2.
2*(v - 1)**2*(v + 2)/9
Suppose -1 = a - 3, 3*b - 7 = a. Let x(n) be the first derivative of 0*n**2 - 4/3*n - 1/12*n**4 + 2 + 1/3*n**b. Factor x(t).
-(t - 2)**2*(t + 1)/3
Factor -23*d**2 - d + 2*d - 9*d**3 + 8*d**2 - 7*d.
-3*d*(d + 1)*(3*d + 2)
Let n(y) = 45*y**3 + 55