)*(l + 2)
Factor 10/3*o**2 + 4/3*o**3 + 8/3*o + 2/3.
2*(o + 1)**2*(2*o + 1)/3
Let h = -1 + 1. Let u be ((-3)/6 - h)*-4. Solve -u - 3 + 2 + 1 + 2*i**2 = 0 for i.
-1, 1
Suppose -32 = -2*t - 6*t. Let i(a) be the third derivative of 1/24*a**4 + 1/9*a**3 + 0 + 1/180*a**5 + t*a**2 + 0*a. Factor i(r).
(r + 1)*(r + 2)/3
Suppose -46 = -59*c + 36*c. Factor -2/5*i**3 + 0*i + 4/5*i**c + 0.
-2*i**2*(i - 2)/5
Let u = -28/159 - -271/636. Let l be (5/4 - 1) + 0. Factor u + l*k**2 - 1/2*k.
(k - 1)**2/4
Let t(i) be the third derivative of 0*i + 0 + 2/21*i**3 + 2/105*i**5 - 1/420*i**6 - 5/84*i**4 + 5*i**2. What is a in t(a) = 0?
1, 2
Let o(t) be the second derivative of t**7/168 + t**6/60 + t**5/50 + 2*t**4/3 - 6*t. Let f(s) be the third derivative of o(s). Factor f(p).
3*(5*p + 2)**2/5
Let r be (6/(-3) + 4 - 2)*-1. Factor -2/3*q + r - 1/3*q**2.
-q*(q + 2)/3
Let f be (-8)/(-6) - 12/(-18). Factor 0*x**f + x**2 + 0*x**2 + 0*x**3 + x**3.
x**2*(x + 1)
Let i(h) be the first derivative of -3/2*h**2 + 1/54*h**4 + 1/270*h**5 + 0*h**3 - 4 + 0*h. Let u(t) be the second derivative of i(t). Factor u(s).
2*s*(s + 2)/9
Let j(n) be the first derivative of -n**2 - 1/6*n**4 + 0*n**3 - 2 - 1/30*n**5 + 0*n. Let d(q) be the second derivative of j(q). Solve d(x) = 0 for x.
-2, 0
Suppose 0 = -l - 4*v - 7, 4 - 5 = -3*l - v. Let h(f) = -f**3 + f**2 - f + 1. Let w(j) = -7*j**3 - 15*j + 6. Let i(k) = l*w(k) - 6*h(k). Factor i(a).
-a*(a + 3)**2
Let z(d) be the first derivative of d**3/5 + 9*d**2/10 + 6*d/5 - 17. Factor z(b).
3*(b + 1)*(b + 2)/5
Let z(h) be the first derivative of -3*h**4/4 + 5*h**3 + 48*h**2 + 108*h + 68. Let z(t) = 0. Calculate t.
-2, 9
Let -147*l**4 + 98*l**5 - 128*l**4 + 27*l**5 - 45*l**2 + 195*l**3 = 0. What is l?
0, 3/5, 1
Let m = 9457/2960 - -3/592. Factor 4/5*x**2 + 12/5 + m*x.
4*(x + 1)*(x + 3)/5
Let a(v) be the second derivative of 3/25*v**5 - 1/75*v**6 + 5*v - 13/30*v**4 + 0 - 4/5*v**2 + 4/5*v**3. Solve a(j) = 0 for j.
1, 2
Let r(u) = -u**2 + 4*u + 7. Let a be r(5). Factor n - 2*n**2 - a*n + 4*n**3 + 2*n**4 - n - 2*n**3.
2*n*(n - 1)*(n + 1)**2
Let t(h) be the second derivative of 0 + 0*h**2 - 7*h - 1/120*h**5 - 1/36*h**3 - 1/36*h**4. Factor t(m).
-m*(m + 1)**2/6
Let m(o) be the second derivative of -2*o**7/189 - o**6/27 - 2*o**5/45 - o**4/54 - 40*o. Factor m(w).
-2*w**2*(w + 1)**2*(2*w + 1)/9
Let j(o) be the second derivative of 3*o**5/4 - o**4/2 - 10*o**3 + 12*o**2 + 25*o. Suppose j(x) = 0. What is x?
-2, 2/5, 2
Let j(d) be the second derivative of -d**6/300 + d**5/50 - d**4/30 + 6*d. Find z, given that j(z) = 0.
0, 2
Let d(k) be the first derivative of k**7/70 + k**6/20 + k**5/20 + 2*k**2 - 6. Let z(v) be the second derivative of d(v). Solve z(o) = 0 for o.
-1, 0
Let z be 0/((-2)/15 - 102/(-90)). Solve -2/3*y**2 - 2/9*y + z - 4/9*y**3 = 0 for y.
-1, -1/2, 0
Factor -3*z**3 + 5*z - 10*z + 5*z.
-3*z**3
Let y(j) = -4*j**3 - 4*j**2 + j. Let b(k) = -5*k + 4. Let h(a) = -a + 1. Let d(g) = b(g) - 4*h(g). Let n(u) = -d(u) - y(u). Let n(r) = 0. What is r?
-1, 0
Let k(v) be the first derivative of 1/2*v + 0*v**2 - 1/3*v**6 - 5/3*v**3 + 1 - 3/2*v**5 - 5/2*v**4. Find c such that k(c) = 0.
-1, 1/4
Factor 2/5*n + 14/5*n**2 - 34/5*n**3 + 0 + 18/5*n**4.
2*n*(n - 1)**2*(9*n + 1)/5
Suppose -2/9*x**3 - 1/3*x**5 + 0*x + 5/9*x**4 + 0 + 0*x**2 = 0. What is x?
0, 2/3, 1
Let l(v) be the first derivative of 4*v**3/3 - 4. Let l(s) = 0. What is s?
0
Let s(p) be the first derivative of -p**7/735 + p**6/140 - p**5/70 + p**4/84 + 5*p**2/2 - 4. Let l(o) be the second derivative of s(o). Factor l(d).
-2*d*(d - 1)**3/7
Let u(j) be the first derivative of 2*j**5/25 + j**4/10 - 2*j**3/15 - j**2/5 - 2. Solve u(l) = 0.
-1, 0, 1
Let x(c) be the first derivative of 7/10*c**2 - 61/20*c**4 + 4 + 42/25*c**5 + 14/15*c**3 - 2/5*c. Solve x(r) = 0.
-1/3, 2/7, 1/2, 1
Let u(a) be the third derivative of -a**5/15 - a**4/2 + 22*a**2. Factor u(t).
-4*t*(t + 3)
Solve -5 + 3 - 10*r**2 - 7*r + r**3 + 8*r**2 - 2 = 0 for r.
-1, 4
Let p(q) be the first derivative of 3/5*q**5 + 0*q**3 - 1/6*q**6 + 0*q**2 + 3 - 1/2*q**4 + 0*q. Let p(t) = 0. Calculate t.
0, 1, 2
Let b(w) be the third derivative of 1/24*w**4 + 1/20*w**5 + 6*w**2 + 0 + 0*w - 1/3*w**3. Solve b(f) = 0 for f.
-1, 2/3
Suppose -g = -7 + 3. Factor -n**5 - 1 - 2*n**2 + 3*n - 2*n**3 - 2*n**4 + 5*n**g + 0*n**4.
-(n - 1)**4*(n + 1)
Let c(v) be the first derivative of v**6/720 - v**5/240 - v**3 + 2. Let p(m) be the third derivative of c(m). Determine a so that p(a) = 0.
0, 1
Let l(y) = -2*y. Suppose v = -5*f + 10, 2*f + 4*v - 1 = 3. Let p(s) = 0*s**2 + 2 + s**f + 0*s**2 + 17*s. Let r(k) = -14*l(k) - 2*p(k). Factor r(i).
-2*(i + 1)*(i + 2)
Let m(s) be the second derivative of s**4/4 + 3*s**3 + 27*s**2/2 + 14*s. Factor m(u).
3*(u + 3)**2
Let o(n) be the third derivative of 0*n**4 + 1/192*n**8 + 0*n**5 + 1/240*n**6 + 0 + 3/280*n**7 + 0*n + 0*n**3 - 4*n**2. Factor o(k).
k**3*(k + 1)*(7*k + 2)/4
Factor 1/2*p**2 + 1/3 + 7/6*p.
(p + 2)*(3*p + 1)/6
Let v be (-1 + 2)*12/18. Let c(s) be the second derivative of -1/18*s**4 - 1/3*s**3 - 2*s + 0 - v*s**2. Factor c(a).
-2*(a + 1)*(a + 2)/3
Let p = -6 + 9. Let b = 15/4 - p. Find k such that 1/4 - b*k**2 + 1/2*k = 0.
-1/3, 1
Suppose 5*a + 23 = 3*v, -3*v = -4*v - a + 5. Let h = -4 + v. Determine g, given that 0*g - 2/3*g**5 + h*g**4 + 0 + 2/3*g**2 - 2*g**3 = 0.
0, 1
Let n(w) be the second derivative of -1/70*w**6 + 0 - 2*w + 0*w**2 - 1/7*w**4 + 3/35*w**5 + 0*w**3. Find h such that n(h) = 0.
0, 2
Let g(p) be the second derivative of -p**5/20 + p**3/6 - p**2/2 - 7*p. Let q(k) = -6*k**3 + 4*k**2 + 10*k - 8. Let f(b) = 8*g(b) - q(b). Factor f(c).
-2*c*(c + 1)**2
Let x(g) = -12*g + 0*g**2 - 19 - 12*g - g**2. Let f(m) = -12*m - 9. Let q(l) = -5*f(l) + 3*x(l). Solve q(h) = 0 for h.
-2
Suppose -8 - 4 = -4*b. Factor 0*k**2 - 1/2*k**b + 1/2*k + 0.
-k*(k - 1)*(k + 1)/2
Let d be 12/(2 + 1) + -3. Find b such that 2*b**2 - b**2 - 1 - d + b = 0.
-2, 1
Let b(y) be the second derivative of 27*y**4/16 - 3*y**3/4 + y**2/8 + 3*y - 1. Suppose b(d) = 0. Calculate d.
1/9
Let p = -952 - -2866/3. Suppose 0 + 10/3*n**2 - p*n**4 - 2/3*n - 2*n**3 + 8/3*n**5 = 0. What is n?
-1, 0, 1/4, 1
Let d(z) be the third derivative of -2*z**7/105 + 2*z**5/15 - 2*z**3/3 - 5*z**2. Let d(r) = 0. What is r?
-1, 1
Suppose -24 = -4*m - 3*t, -5*m + 19 = 3*t - 2*t. Factor 4*u**2 - 6*u**2 + 2*u + m*u**2.
u*(u + 2)
Suppose 3*d + 0 = 6. Factor t**2 - t**2 + 6*t + 3*t**d - 1 + 4.
3*(t + 1)**2
Let g(s) be the second derivative of -s**4/90 + 2*s**3/45 - 2*s. Factor g(m).
-2*m*(m - 2)/15
Factor -4/11*a**2 + 4/11 - 2/11*a + 2/11*a**3.
2*(a - 2)*(a - 1)*(a + 1)/11
Let s(o) be the first derivative of -o**7/280 + o**6/60 - o**5/40 - 2*o**3/3 + 5. Let l(y) be the third derivative of s(y). Factor l(h).
-3*h*(h - 1)**2
What is g in 2/3*g**4 + 10/3*g - 2/3*g**3 - 4/3 - 2*g**2 = 0?
-2, 1
Let h(j) = -j**3 - j. Let g be 4/8*-6 + 2. Let t(p) = -15*p**4 + 55*p**3 - 18*p**2 - 56*p + 24. Let q(m) = g*t(m) - 4*h(m). Factor q(c).
3*(c - 2)**2*(c + 1)*(5*c - 2)
Let c(m) be the first derivative of 4/3*m - 10/9*m**3 + m**2 + 6. Determine q so that c(q) = 0.
-2/5, 1
Let t be (3 - 1) + 2/1. Let s be (t/(-10))/((-8)/40). Suppose 0*d**3 - 2*d + 4*d - 2*d**3 - 2 + 0*d + 2*d**s = 0. Calculate d.
-1, 1
Let f(i) = i**3 - 8*i**2 - i + 10. Let p be f(8). Let x be p*(-2)/(-14)*1. Suppose 2/7*j**2 + 0 + 0*j**3 + 0*j - x*j**4 = 0. What is j?
-1, 0, 1
Let t(a) be the first derivative of 3/2*a**2 - 1/3*a**3 - 1/12*a**5 - 7/24*a**4 - 1 + 0*a. Let s(z) be the second derivative of t(z). Factor s(f).
-(f + 1)*(5*f + 2)
Solve 38*p - 2*p**5 + 3*p**3 + 40*p**2 + p**3 - 4*p**4 + 12 + 8*p**3 = 0.
-2, -1, 3
Factor 8/5*d**3 + 4/5*d**4 - 28/5*d**2 - 48/5 - 16*d.
4*(d - 3)*(d + 1)*(d + 2)**2/5
Suppose -4*t - 4 = -5*p + 4, p - 10 = -2*t. Suppose 0*z + 0*z**3 + 1/4*z**p - 1/4*z**2 + 0 = 0. What is z?
-1, 0, 1
Let f(w) be the third derivative of -w**2 - 1/30*w**6 + 0*w**7 + 0*w + 0*w**3 + 0*w**5 + 0 + 1/168*w**8 + 1/12*w**4. Suppose f(a) = 0. What is a?
-1, 0, 1
Let l(w) = w**2 - 9*w - 8. Let n be l(10). Factor -9*o**n - 2*o + 4*o**4 - o**2 + 6*o**2 + 2*o**5.
2*o*(o - 1)*(o + 1)**3
Let n(p) be the first derivative of -9*p**4/4 + 5*p**3 - 3*p**2 - 11. Find z, given that n(z) = 0.
0, 2/3, 1
Let f be (-6)/(-8)*2*2. Let k = 112 + -112. 