-1 + 5. Let n(c) be the second derivative of 0*c**3 + 2/21*c**7 + 0*c**2 + 0 - 1/12*c**4 + 3/10*c**u - 2*c - 3/10*c**6. Factor n(s).
s**2*(s - 1)**2*(4*s - 1)
Let x(i) be the first derivative of 1/4*i**4 + 3/2*i**2 + i + 1 + i**3. Factor x(r).
(r + 1)**3
Factor 3*s**2 + 24/5*s - 12/5.
3*(s + 2)*(5*s - 2)/5
Let j = -822 + 824. Factor 2/11*p**4 - 2/11*p + 0 + 2/11*p**3 - 2/11*p**j.
2*p*(p - 1)*(p + 1)**2/11
Factor 4/5*u**3 + 0*u**4 + 0*u**2 - 2/5*u**5 - 2/5*u + 0.
-2*u*(u - 1)**2*(u + 1)**2/5
Let n(j) be the second derivative of j**5/5 + 2*j**4/3 - 2*j**3/3 - 4*j**2 + 11*j. Let n(d) = 0. Calculate d.
-2, -1, 1
Suppose 0 = -4*m - 0*m + 8. Solve v**2 + 2*v**2 + m*v + 2 + 5*v = 0.
-2, -1/3
Let f be 9/(-12) + ((-69)/(-12) - 4). Determine c so that -f + 1/4*c**2 + 0*c = 0.
-2, 2
Let q(m) be the second derivative of -21*m**5/20 + 5*m**4/4 + 8*m**3 + 6*m**2 - 5*m. Factor q(j).
-3*(j - 2)*(j + 1)*(7*j + 2)
Let q be 2/8 - 174/720. Let j(z) be the third derivative of 0 + 0*z + 1/12*z**3 - 1/24*z**4 + q*z**5 + z**2. Factor j(h).
(h - 1)**2/2
Let v = 666 + -657. Suppose 3/2 - v*f + 27/2*f**2 - 6*f**3 = 0. What is f?
1/4, 1
Suppose -j = -4*j - 9. Let r be 3 - 0 - j/(-1). Determine q so that r*q**3 - 2/3*q - 4/3*q**2 + 4/3*q**4 + 2/3*q**5 + 0 = 0.
-1, 0, 1
Let m(p) be the third derivative of -p**7/1995 + p**6/1140 + p**5/114 + p**4/76 + 3*p**2. Factor m(l).
-2*l*(l - 3)*(l + 1)**2/19
Let q(d) = 7*d**4 - d**3 + 7*d**2. Let m(t) = 10*t**4 - t**3 + 10*t**2. Let k = -9 - -14. Let u(l) = k*m(l) - 7*q(l). Factor u(o).
o**2*(o + 1)**2
Let w(t) be the third derivative of t**6/120 - t**5/20 + 6*t**2. Determine o, given that w(o) = 0.
0, 3
Let m(n) be the second derivative of -n**4/3 + 8*n**3/3 + 4*n. Suppose m(h) = 0. What is h?
0, 4
Let l(y) = -y**3 + y**2 - y + 2. Suppose 0*i = -2*f - i - 5, i = -5*f - 5. Let b be l(f). Factor 8/3*h + 1/3*h**3 - 5/3*h**b - 4/3.
(h - 2)**2*(h - 1)/3
Let k(v) be the first derivative of -3*v**8/112 - v**7/70 + v**6/20 + v**2 - 1. Let h(m) be the second derivative of k(m). Find g such that h(g) = 0.
-1, 0, 2/3
Factor 0*z**2 + 2/3*z**3 + 0*z + 0 - 1/3*z**4.
-z**3*(z - 2)/3
Factor 0*x + 0 - 2*x**2 - 2/9*x**3.
-2*x**2*(x + 9)/9
Let i be (2 - -2)*1*(-2)/(-44). Suppose 2/11*g**2 - 4/11 - i*g = 0. What is g?
-1, 2
Let k(p) be the third derivative of -p**8/23520 + p**7/8820 - 7*p**4/24 + 3*p**2. Let q(l) be the second derivative of k(l). Factor q(r).
-2*r**2*(r - 1)/7
Let w(m) be the second derivative of m**6/15 + m**5/10 - 13*m. Factor w(h).
2*h**3*(h + 1)
Let h(d) = -17*d + 138. Let b be h(8). Factor 1/4 - 3/2*o + 9/4*o**b.
(3*o - 1)**2/4
Let f(n) be the third derivative of 0*n - n**2 + 0*n**6 + 1/1176*n**8 + 1/105*n**5 + 0*n**3 - 2/735*n**7 - 1/84*n**4 + 0. Solve f(z) = 0 for z.
-1, 0, 1
Find l, given that -3/2*l**2 + 0 - 3/2*l = 0.
-1, 0
Suppose -2/7*y**3 + 12/7*y**2 - 10/7*y + 0 = 0. What is y?
0, 1, 5
Let l be 5/((-15)/(-21)) - 2. Let u(s) be the second derivative of 0*s**2 + 0 - s - 1/3*s**3 - 1/5*s**l + 1/2*s**4. Factor u(b).
-2*b*(b - 1)*(2*b - 1)
Let d(g) be the third derivative of 0 + 0*g + 1/21*g**4 + 27/140*g**6 + 0*g**3 - 6/35*g**5 + 5*g**2. Factor d(a).
2*a*(9*a - 2)**2/7
Let o be 1 - 1 - (-9)/(90/16). Factor -2/5*p**3 + 8/5*p**2 - o*p + 0.
-2*p*(p - 2)**2/5
Let r = 1131/7 + -161. Suppose -8/7*z**2 + 4/7*z**3 + r*z + 0 = 0. What is z?
0, 1
Let h(v) be the third derivative of -v**6/120 - v**5/40 - v**3/6 + 2*v**2. Let t(g) be the first derivative of h(g). Factor t(b).
-3*b*(b + 1)
Let m be -3 - (-2 + -4) - 8/3. Factor m*b + 1/3 - 2/3*b**2.
-(b - 1)*(2*b + 1)/3
Let h(a) be the second derivative of a**5/10 + a**4/12 + 3*a**2/2 - a. Let b(w) be the first derivative of h(w). Factor b(u).
2*u*(3*u + 1)
Let a(q) = q**3 - 24*q**2 + 23*q + 3. Let i be a(23). Factor 1/3*w**i - 2/3 - 4/3*w**2 + 5/3*w.
(w - 2)*(w - 1)**2/3
Let l = -96539/12 + 8070. Let b = l - 73/3. Suppose 0 - 3/4*p**2 + b*p = 0. What is p?
0, 1
Suppose -6*b = -2*b - 16. Let f(y) be the third derivative of 0*y + 0*y**3 - 1/12*y**5 - 3*y**2 + 0 - 1/12*y**b. Suppose f(l) = 0. Calculate l.
-2/5, 0
Let v(l) be the second derivative of 2*l**7/21 - 8*l**6/15 + 6*l**5/5 - 4*l**4/3 + 2*l**3/3 + 48*l. Find z such that v(z) = 0.
0, 1
Let r = 554/675 + -20/27. Let m(h) be the second derivative of 2*h + 0*h**2 - 1/6*h**4 + 0 + 1/15*h**3 + r*h**5. Factor m(k).
2*k*(k - 1)*(4*k - 1)/5
Suppose 5*x = 3*n + 8, -16 = -3*n + 6*n - x. Let y(m) = m**2 + 7*m. Let k(r) = r. Let t(a) = n*k(a) + y(a). Factor t(h).
h*(h + 1)
Let m(b) = b**3 - 15*b**2 + 28*b - 22. Let l be m(13). Factor -3/2*k**3 - 1/2*k**5 + 0*k + 0 - 1/2*k**2 - 3/2*k**l.
-k**2*(k + 1)**3/2
Let j be (-2)/12*1/(-35). Let x(n) be the third derivative of -1/120*n**6 + 0*n**5 - j*n**7 - n**2 + 0*n**4 + 0*n + 0 + 0*n**3. Factor x(q).
-q**3*(q + 1)
Let b(x) = x**3 + x - 1. Let k(j) = 8*j**3 - 2*j**3 + 3 - 9*j**2 - 3*j**4 + 0. Let p(u) = 3*b(u) + k(u). Suppose p(m) = 0. What is m?
0, 1
Suppose 5*q = -3 + 18. Factor -f**5 - f**4 - 6*f**q - f**4 + 10*f**2 - f**4 + 2*f**5 + 9 + 21*f.
(f - 3)**2*(f + 1)**3
Let f be (2 - 4)*30/4. Let p = -9 - f. Factor -3 - 3*i**2 - p*i + 7 + 3*i**2 + 2*i**3.
2*(i - 1)**2*(i + 2)
Suppose 4*q + 11 + 1 = 0. Let s = q + 5. Suppose -2*j + 4/3 + 2/3*j**s = 0. Calculate j.
1, 2
Let p(x) be the first derivative of 3/4*x**2 - x - 1/6*x**3 - 1. Find t such that p(t) = 0.
1, 2
Let z(n) be the first derivative of 3*n**4/4 + 9*n**3 + 81*n**2/2 + 81*n - 1. Find h, given that z(h) = 0.
-3
Suppose 5*j**3 - 3*j**3 + 3*j**2 - 8 + 3*j**2 + 0*j**3 = 0. Calculate j.
-2, 1
Let f(v) = -v**4 - 11*v**3 + 17*v - 7. Let g(u) = -u**4 - 5*u**3 + 8*u - 4. Let h(q) = 4*f(q) - 7*g(q). Factor h(m).
3*m*(m - 2)**2*(m + 1)
Let a(o) be the second derivative of -8*o**6/15 - 2*o**5 - 17*o**4/12 - o**3/3 + 31*o. Suppose a(b) = 0. What is b?
-2, -1/4, 0
Let d be 4*((-15)/6)/(-5). Suppose 4*j**4 + j**5 - 4*j**d + 2*j - j**5 - 2*j**5 = 0. Calculate j.
-1, 0, 1
Suppose -3*d = -6*d + 33. Let b = d - 7. Factor 9/5*q**b - 3*q**5 + 0 + 0*q**2 + 6/5*q**3 + 0*q.
-3*q**3*(q - 1)*(5*q + 2)/5
Let a(n) be the first derivative of n**6/16 - 9*n**5/40 - 3*n**4/32 + 11*n**3/8 - 9*n**2/4 + 3*n/2 - 44. Suppose a(c) = 0. Calculate c.
-2, 1, 2
Let y(w) be the third derivative of w**6/132 - 7*w**5/330 - 2*w**4/33 + 4*w**3/33 + 12*w**2. Factor y(d).
2*(d - 2)*(d + 1)*(5*d - 2)/11
Factor -4/13*g**2 + 2/13*g**5 + 0 - 2/13*g + 4/13*g**4 + 0*g**3.
2*g*(g - 1)*(g + 1)**3/13
Let d = -1 - -5. Let k be (7/d)/((-3)/(-24)). Solve k*q**2 + 3*q - 4*q - 3*q - 10*q**3 = 0.
0, 2/5, 1
Factor 10*o - 1 - o - 3*o**2 - o**3 - 4.
-(o - 1)**2*(o + 5)
Let w(x) be the second derivative of 0*x**3 - 3*x + 0 - 1/48*x**4 + 1/8*x**2. Factor w(h).
-(h - 1)*(h + 1)/4
Let v(c) = 5*c**2 + 3*c + 2. Let f = 1 + -2. Let z be v(f). Suppose -8/5 + 24/5*n - 224/5*n**3 + 102/5*n**2 - 294/5*n**z = 0. Calculate n.
-1, -1/3, 2/7
Factor -3/4*x**2 - x + 1/4*x**4 + 1/2*x**3 + 1.
(x - 1)**2*(x + 2)**2/4
Let c(h) be the second derivative of h**7/210 + h**6/120 - h**5/30 - h**2 + h. Let j(r) be the first derivative of c(r). Solve j(l) = 0 for l.
-2, 0, 1
Let n(g) be the third derivative of g**5/240 - g**4/96 + 6*g**2. Suppose n(h) = 0. What is h?
0, 1
Let i = 3 + 3. Let q(a) = -a**3 + 4*a**2 + 4*a - 1. Let j(m) = m**2 - 2 + 2 + m. Let l(b) = i*j(b) - 2*q(b). Factor l(n).
2*(n - 1)**2*(n + 1)
Let -32*a - 144 - 4*a**2 + 23*a - 39*a = 0. Calculate a.
-6
Let i(j) = -5*j**2 + j. Let r be i(1). Let h(a) = -a - 2. Let q be h(r). Solve q*z - 1 + 3*z - 2*z + 4*z**2 = 0 for z.
-1, 1/4
Let z(s) be the first derivative of s**6/21 + 2*s**5/35 - s**4/14 - 2*s**3/21 - 8. Factor z(p).
2*p**2*(p - 1)*(p + 1)**2/7
Let z(a) be the second derivative of a**5/220 + a**4/44 - a**3/66 - 3*a**2/22 + 26*a. Determine r so that z(r) = 0.
-3, -1, 1
Let d(k) = -k**2 + 6*k + 2. Let w be d(6). Suppose -w*b + 6 = b. Factor -5*a**3 + a**2 + a**b + a**2 + 2*a.
-a*(a - 1)*(5*a + 2)
Solve 2/3*m**2 + 0 - 2/3*m**3 + 4/3*m = 0.
-1, 0, 2
Let i = -3 + 5. Factor -2*u - 6 - i*u**2 + 1 + 5.
-2*u*(u + 1)
Let k be -10*(-2 + 3/2). Suppose -2*z = -k*z. Factor 0 + z*a**2 - 1/4*a**3 + 1/4*a.
-a*(a - 1)*(a + 1)/4
Let s(g) = 5*g**3 - 20*g**2 + 32*g + 6. Let i(k) = 5*k**3 - 20*k**2 + 34*k + 7. Let h(x) = -6*i(x) + 7*s(x). Factor h(z).
5*z*(z - 2)**2
Let r(p) be the t