6/5*a**3.
-2*a*(a - 1)*(4*a + 1)**2/5
Suppose 3*m = -15 + 21. Factor 0 + 0*a + 2/3*a**m - 1/3*a**3.
-a**2*(a - 2)/3
Let b(o) be the second derivative of -o**5/10 + 2*o**4/3 + o**3 - 18*o**2 - o + 18. Find d, given that b(d) = 0.
-2, 3
Let r(d) be the second derivative of -1/2*d**2 + 0 - d - 1/24*d**4 - 1/4*d**3. Solve r(q) = 0.
-2, -1
Let z = -8 - -10. What is c in c**2 + 2*c + 0*c**2 - 3*c**z = 0?
0, 1
Let n be 78/(-208)*8/(-6). Let r be 0 - -1*(-1)/(-4). Let 1/4*m**2 + r + n*m = 0. What is m?
-1
Let n(a) = -9*a**5 + 8*a**4 + a**3 - 15*a**2 + 15*a. Let d(u) = 5*u**5 - 4*u**4 - u**3 + 8*u**2 - 8*u. Let l(x) = -7*d(x) - 4*n(x). Factor l(m).
m*(m - 2)**2*(m - 1)*(m + 1)
Suppose 0 = -3*k + 5 + 10. Suppose k*l - 7*l + 2*l**2 + 0*l = 0. Calculate l.
0, 1
Let g(j) be the first derivative of j**3 - 6*j - 3/2*j**2 + 7. Factor g(x).
3*(x - 2)*(x + 1)
Factor -121/6*s**2 - 6 + 22*s.
-(11*s - 6)**2/6
Factor 0*r**2 - 2*r**5 - 5*r**2 - 3*r**5 - 5*r**2 + 15*r**3.
-5*r**2*(r - 1)**2*(r + 2)
Let x(d) be the third derivative of d**6/24 - 5*d**4/6 + 23*d**2. Factor x(j).
5*j*(j - 2)*(j + 2)
Let n(t) = -t**5 + t**4 + t**3 - t**2 - t - 1. Let d(q) = 4*q**5 - q**4 - 3*q**3 + q**2 + 2*q + 3. Let r(u) = d(u) + 3*n(u). Solve r(i) = 0.
-1, 0, 1
Let q(h) be the second derivative of -2*h**7/3 + 2*h**6/3 + 9*h**5/5 - 5*h**4/3 - 4*h**3/3 - 7*h. Find l, given that q(l) = 0.
-1, -2/7, 0, 1
Let r(b) = b**3 - 4*b**2 - 4*b - 3. Let c be r(5). Suppose -4*i + z + 7 = 0, 5*i - 6*z = -2*z + 6. Solve 1 + 3*l**c - i*l - 6*l**2 + 4*l**2 = 0 for l.
1
Let l(j) be the first derivative of 2*j**5/25 - 2*j**4/5 + 2*j**3/3 - 2*j**2/5 - 8. Factor l(k).
2*k*(k - 2)*(k - 1)**2/5
Let 9*i**3 - i**4 + 7*i**4 - 3*i**5 - 8*i + 20*i - 24*i**2 + 0*i**2 = 0. Calculate i.
-2, 0, 1, 2
What is r in 0 - 3/2*r**3 - 3/2*r**5 + 0*r + 0*r**2 + 3*r**4 = 0?
0, 1
Let n = -3 - -5. Factor 2*c**4 + 4*c**3 + 6*c**2 - 6*c**2 + n*c**3 + 2*c + 6*c**2.
2*c*(c + 1)**3
Let 6/7*t**2 - 16/7*t - 4/7*t**4 + 10/7*t**3 - 8/7 = 0. What is t?
-1, -1/2, 2
Let z(d) be the second derivative of 5*d**7/168 + d**6/40 - 3*d**5/20 + d**4/12 + 30*d. Solve z(n) = 0.
-2, 0, 2/5, 1
Suppose 5*z - 2*j + 6 + 3 = 0, -3*j + 6 = 0. Let y = 4 + z. Factor -1/4*a**2 + 0 - 1/4*a + 1/4*a**y + 1/4*a**4.
a*(a - 1)*(a + 1)**2/4
Let w be -7 + -1 - (-68)/8. Let -2*l**3 - w*l**4 - 1/2 - 2*l - 3*l**2 = 0. Calculate l.
-1
Let a(s) be the first derivative of 2*s**3/3 - 2*s**2 + 1. Let b(q) = 7*q + 3*q - 2*q**2 - 6*q. Let d(u) = -7*a(u) - 6*b(u). Find y such that d(y) = 0.
0, 2
Let m(i) be the third derivative of -i**10/30240 + i**9/7560 - i**8/6720 + i**4/24 - 4*i**2. Let z(x) be the second derivative of m(x). Factor z(n).
-n**3*(n - 1)**2
Let n(l) = -l**2 - 7*l + 2. Let v be n(-8). Let w be v/(-8) - 1/(-1). Factor -w*q - 9/4*q**2 - 1/2 - 1/4*q**4 - 5/4*q**3.
-(q + 1)**3*(q + 2)/4
Suppose 4*x + 28 = m, x + 3*m + 2 = 2*m. Let k(r) = -12*r**2 - 8*r + 10. Let s(q) = 13*q**2 + 9*q - 11. Let f(b) = x*s(b) - 7*k(b). Factor f(c).
2*(c + 1)*(3*c - 2)
Let s(g) = g**3 - 15*g**2 + 15*g - 14. Let p be s(14). Factor p*b**2 - 4/5 + 6/5*b - 2/5*b**3.
-2*(b - 1)**2*(b + 2)/5
Let 2/3*s**3 + 0 + 0*s + 2/3*s**4 - 4/3*s**2 = 0. Calculate s.
-2, 0, 1
Let j(c) = -7*c**2 + 5*c - 3. Let u(x) = 7*x**2 - 7*x + 4. Let y(g) = 6*j(g) + 5*u(g). Factor y(a).
-(a + 1)*(7*a - 2)
Let o(v) be the third derivative of -v**8/2520 + v**6/180 - v**5/90 - v**3/3 + 2*v**2. Let r(c) be the first derivative of o(c). Factor r(d).
-2*d*(d - 1)**2*(d + 2)/3
Let m(l) be the third derivative of l**8/21 - 74*l**7/525 + 2*l**6/25 + 7*l**5/75 - l**4/15 + 8*l**2 + l. Let m(g) = 0. What is g?
-2/5, 0, 1/4, 1
Let v = 496/45 - 54/5. Let c(y) be the first derivative of 5/9*y**2 + 2/9*y**4 - v*y - 1 - 16/27*y**3. Factor c(p).
2*(p - 1)*(2*p - 1)**2/9
Let u(p) = -p**3 - 5*p**2 - 4*p + 2. Let d be u(-4). Solve 3*k**2 - 2*k**4 + k**d - 2 + 0*k**4 = 0.
-1, 1
Let o(q) be the second derivative of -q**7/378 - q**6/270 + 16*q. Factor o(i).
-i**4*(i + 1)/9
Let l(x) = -2*x**3 + 7*x**2 + 3*x + 4. Let a(p) = -3*p**3 + 15*p**2 + 6*p + 9. Let d(j) = 4*a(j) - 9*l(j). Find c, given that d(c) = 0.
-1/2, 0, 1
Suppose 2*z + 30 - 7 = 5*g, -g + 5*z = -23. Factor -1/2*f**g + 0 + f + 1/2*f**2.
-f*(f - 2)*(f + 1)/2
Let u(r) be the third derivative of -r**11/498960 + r**9/30240 + r**8/15120 + r**5/15 - 3*r**2. Let z(f) be the third derivative of u(f). Factor z(b).
-2*b**2*(b - 2)*(b + 1)**2/3
Let i = 1/11 + 7/44. Solve -i*b + 1/4*b**2 - 1/2 = 0.
-1, 2
Let t(l) be the third derivative of -l**9/18144 - l**8/5040 - l**7/5040 + l**3/3 + l**2. Let f(h) be the first derivative of t(h). Factor f(u).
-u**3*(u + 1)**2/6
Let 8*z + 36*z**2 + 8 - 16*z**3 + 80*z**5 - 8 - 108*z**4 = 0. Calculate z.
-2/5, -1/4, 0, 1
Let p = 212 + -210. Determine u so that 6/7*u - 18/7*u**5 + 12/7*u**p + 54/7*u**4 - 2/7 - 52/7*u**3 = 0.
-1/3, 1/3, 1
Let k(f) be the third derivative of -3*f**2 + 1/21*f**4 + 1/21*f**3 + 1/35*f**5 + 0*f + 1/105*f**6 + 0 + 1/735*f**7. Solve k(i) = 0.
-1
Let p(b) = -b**3 + b**2 + 1. Let c(o) = o**3 + 7*o**2 - 16*o - 13. Let q(s) = c(s) - 3*p(s). Factor q(u).
4*(u - 2)*(u + 1)*(u + 2)
Suppose 3 - 3*l**2 + 1 - 10 + 9*l = 0. Calculate l.
1, 2
Factor -1/2*t - 1/2*t**3 - 3 + 2*t**2.
-(t - 3)*(t - 2)*(t + 1)/2
Let l(g) be the second derivative of -g**4/6 + g**3/3 + 3*g. Suppose l(p) = 0. Calculate p.
0, 1
Suppose -36 + 18*r**2 + 6*r**3 + 2*r**5 + 36 - 10*r**4 = 0. What is r?
-1, 0, 3
Let c(s) be the third derivative of 0*s + 1/30*s**5 + 3*s**2 + 0 + 0*s**3 - 1/24*s**4 - 1/120*s**6. Factor c(o).
-o*(o - 1)**2
Let k(h) be the second derivative of -h**6/1440 + h**5/240 - h**4/96 + h**3/3 - h. Let t(g) be the second derivative of k(g). What is d in t(d) = 0?
1
Factor 4*q**2 - 4*q + 2*q**2 + 0*q**2 - 4*q**2.
2*q*(q - 2)
Let r(n) be the third derivative of n**5/30 - n**4/6 + n**3/3 + 7*n**2. Determine c so that r(c) = 0.
1
Let h(g) = -1 - 5*g + 6 + g + 8*g**2 - 9*g**3. Let d(f) = -7 + 5*f + f - 2*f**2 + 13*f**3 - 10*f**2. Let w(x) = 5*d(x) + 7*h(x). Suppose w(i) = 0. Calculate i.
0, 1
Let b(d) be the first derivative of 225*d**4/2 + 40*d**3 + 4*d**2 + 3. Factor b(k).
2*k*(15*k + 2)**2
Let w(z) be the first derivative of -5*z**6/6 + 3*z**5 - 5*z**4/2 - 10*z**3/3 + 15*z**2/2 - 5*z - 5. Find d, given that w(d) = 0.
-1, 1
Suppose -4*l = -0*l. Let y(m) be the second derivative of 0 + 1/30*m**6 + 0*m**2 + 0*m**5 + l*m**3 - 2*m - 1/12*m**4. Find v, given that y(v) = 0.
-1, 0, 1
Let h be 815/1050 - (-1)/(-2). Let t = h + 1/105. Solve 0 + 0*q + 2/7*q**3 - t*q**5 + 0*q**4 + 0*q**2 = 0.
-1, 0, 1
Let v(x) be the first derivative of -5*x**4/4 + 5*x**3/3 + 5*x**2 + 5. Factor v(k).
-5*k*(k - 2)*(k + 1)
What is o in 4*o**4 + 1 - 1235*o**2 + 1223*o**2 + 8*o**3 - 1 = 0?
-3, 0, 1
Let p be (-27)/(-108)*8/3. Factor -4/3*i + p*i**3 + 0 - 2/3*i**2.
2*i*(i - 2)*(i + 1)/3
Let a(c) be the first derivative of 4 + 2/45*c**5 - 2/9*c**4 + 2/9*c**3 + 4/9*c**2 - 8/9*c. Factor a(s).
2*(s - 2)**2*(s - 1)*(s + 1)/9
Let y(q) = 60*q**2 + 30*q - 8. Let s(c) = 121*c**2 + 61*c - 16. Suppose 24 = 2*l + i, 0 = -2*l - 3*i - i + 18. Let g(j) = l*y(j) - 6*s(j). Factor g(r).
2*(3*r + 2)*(9*r - 2)
Suppose 0 = 4*w - l - 7, 5*w + 0*l - 5 = 2*l. Let q(g) be the third derivative of 0*g**w + 4*g**2 + 1/180*g**5 + 0 - 1/72*g**4 + 0*g. Solve q(a) = 0.
0, 1
Let m(o) be the first derivative of -o**7/420 + o**6/300 + o**5/25 + o**4/15 + 5*o**3/3 - 7. Let j(g) be the third derivative of m(g). Factor j(l).
-2*(l - 2)*(l + 1)*(5*l + 2)/5
Let l(v) = -v**2 + 9*v + 24. Let z be l(11). Let h(s) be the second derivative of 1/7*s**2 - 1/42*s**4 - z*s + 0 + 0*s**3. Factor h(t).
-2*(t - 1)*(t + 1)/7
Let a(v) = -v**2 - 5*v - 4. Let m be a(-4). Let q(t) be the third derivative of -1/6*t**3 - t**2 + 0*t**4 + m + 0*t + 1/60*t**5. Factor q(u).
(u - 1)*(u + 1)
Let g(b) be the third derivative of -16*b**5/45 - 4*b**4/9 - 2*b**3/9 + 5*b**2. Find u such that g(u) = 0.
-1/4
Let k(f) = -1. Suppose -2*o - t = 15, 0 = o + 2*t - 0 + 6. Let z(n) = -2*n**3 + 6*n - 4. Let c(m) = o*k(m) + z(m). Let c(i) = 0. Calculate i.
-1, 2
Suppose -2*q + 1 = -1. Factor -2*c - 7*c**3 + q + 0*c + 9*c**3 + 3 - 4*c**2.
2*(c - 2)*(c - 1)*(c + 1)
Let t = -150 + 152. Factor 2/9*l**3 - 2/9*l**t + 2/9 - 2/9*l.
2*(l - 1)**2*(l + 1)/9
Let c = -18/949 - -13045/63