 first derivative of i(p). Factor m(j).
2*j*(j - 1)**2*(j + 1)**2
Let g(r) be the second derivative of 2*r**6/15 - r**5/5 - r**4/3 + 2*r**3/3 + 59*r. Factor g(p).
4*p*(p - 1)**2*(p + 1)
What is w in -1 - w**4 + w + w**3 + 2*w**2 + 3*w**3 - 8*w**2 + 3*w = 0?
1
Let v = -55/2 - -173/6. Factor 2/3*k**2 + 0 - v*k + 2/3*k**3.
2*k*(k - 1)*(k + 2)/3
Let b be (2 - 8/3)*-6. Suppose -20 = -2*t - 3*t. Find w such that -w**b - w**3 - 2*w**t + 2*w**4 + w + w**2 = 0.
-1, 0, 1
Let k(z) be the first derivative of 1/4*z**2 + 1/12*z**3 - 1 + 1/4*z. Solve k(g) = 0.
-1
Let s(x) be the third derivative of x**6/80 + x**5/120 - x**4/24 - 3*x**2. Suppose s(l) = 0. Calculate l.
-1, 0, 2/3
Let i = 83 - 81. Let r(f) be the second derivative of -1/5*f**5 + 1/10*f**6 + 1/12*f**4 - 2*f + 0 + 0*f**3 + 0*f**i. Factor r(h).
h**2*(h - 1)*(3*h - 1)
Let g(v) be the first derivative of 1/3*v**3 + 3 + 0*v + v**2. What is n in g(n) = 0?
-2, 0
Let j(v) be the third derivative of -v**8/3360 - v**7/315 - v**6/72 - v**5/30 + v**4/8 + v**2. Let c(m) be the second derivative of j(m). Factor c(a).
-2*(a + 1)**2*(a + 2)
Let a be (128/(-10))/(3/(-15)). Let n be (-1)/(-2)*a/112. Factor 0*d + 0 + 0*d**4 - n*d**5 + 0*d**2 + 2/7*d**3.
-2*d**3*(d - 1)*(d + 1)/7
Solve 2*j**2 - 3*j**3 + 3 + 2 - 8*j**2 + 1 + 3*j = 0.
-2, -1, 1
Let d(g) = 2 + 4*g**2 - 5 - 3*g**2 - 3*g. Let r(n) = -n**2 + n - 1. Suppose 3 - 8 = -c. Let f(m) = c*r(m) - d(m). Factor f(u).
-2*(u - 1)*(3*u - 1)
Let i(s) be the first derivative of s**5/5 - 3*s**4/4 - 7*s**3/3 + 15*s**2/2 + 18*s - 12. Let i(g) = 0. What is g?
-2, -1, 3
Let k be 1/5 + (-5 - -3 - -2). Let h(m) be the first derivative of -1/10*m**4 + 3 + k*m**2 + 4/5*m - 4/15*m**3. Find v, given that h(v) = 0.
-2, -1, 1
Let w(i) = i**3 - 15*i**2 + 5*i - 70. Let g be w(15). Let 784*s**4 + 16/5 + 10976/5*s**g - 100*s**2 - 266*s**3 + 8*s = 0. What is s?
-2/7, 1/4
Let j = -37/132 - -4/11. Let x(c) be the second derivative of 0 + c + 1/2*c**3 + c**2 + j*c**4. Suppose x(r) = 0. What is r?
-2, -1
Let v(i) be the third derivative of 22*i**7/35 - 5*i**6/8 - 17*i**5/20 - i**4/4 + i**2 - 2*i. Solve v(k) = 0.
-1/4, -2/11, 0, 1
Let w(t) = -2*t**4 - 12*t**3 + 6*t**2 + 8*t - 4. Let d(l) = -3*l**4 - 13*l**3 + 6*l**2 + 8*l - 3. Let b(k) = 4*d(k) - 5*w(k). Factor b(n).
-2*(n - 2)**2*(n - 1)*(n + 1)
Let k = 14/3 + -4. Let d(b) be the third derivative of k*b**3 + 3/80*b**6 + 1/20*b**5 + 0*b + 0 - 5/12*b**4 - b**2. Solve d(s) = 0 for s.
-2, 2/3
Let p(i) = -i**2 + i + 7. Let x be p(-6). Let v be (-92)/(-126) + 10/x. Factor v*m + 0 - 2/9*m**2.
-2*m*(m - 2)/9
Suppose 0 = 4*d - 5 + 45. Let l be -4 + 3 - 18/d. Let l + 6/5*z + 2/5*z**2 = 0. What is z?
-2, -1
Factor 12/11 + 14/11*c + 2/11*c**2.
2*(c + 1)*(c + 6)/11
Factor -5/2 + 25/2*y**3 - 55/2*y**2 + 35/2*y.
5*(y - 1)**2*(5*y - 1)/2
Let z(x) be the third derivative of -x**8/224 + 5*x**2. Factor z(h).
-3*h**5/2
Suppose -4*w - 6 = 2*h, h = -3*w + 2*h + 3. Solve 0 - 1/2*p**2 + 1/2*p**3 + w*p - 1/2*p**5 + 1/2*p**4 = 0.
-1, 0, 1
Let g(n) = -8*n**4 - 3*n**3 - 3*n + 3. Let s(r) = 65*r**4 + 25*r**3 + 25*r - 25. Let c(z) = -25*g(z) - 3*s(z). Solve c(p) = 0.
0
Let v = -323 + 331. Factor 0*d - 9/2*d**5 + 2*d**2 + 0 - v*d**3 + 21/2*d**4.
-d**2*(d - 1)*(3*d - 2)**2/2
Let c(w) = w**2 + 1. Let v(l) = -4*l**2 + 2*l + 2. Suppose -4*g + 4*d = -16, 5*d - 2*d + 15 = 0. Let n(h) = g*v(h) - 2*c(h). What is z in n(z) = 0?
-1, 2
Let a(j) be the second derivative of -7*j**6/135 - 8*j**5/45 - 11*j**4/54 - 2*j**3/27 + 11*j. Factor a(v).
-2*v*(v + 1)**2*(7*v + 2)/9
Let d(y) = -y**2. Let l(h) = 16*h**2 - 2. Let m(v) = -28*d(v) - 2*l(v). Suppose m(u) = 0. Calculate u.
-1, 1
Determine b so that -b**4 + b**3 - 5*b - 3*b**3 + 1 + 7*b = 0.
-1, 1
Suppose 0 = -3*a - 2*t - 3*t + 14, 4*a - 3*t = 9. Let g = 109/14 + -15/2. Suppose 0*y**4 - 2/7*y**5 + 0 + 0*y**2 + g*y**a + 0*y = 0. What is y?
-1, 0, 1
Let w(b) be the second derivative of -b**5/4 + 5*b**4/2 - 20*b**3/3 - 13*b. Factor w(t).
-5*t*(t - 4)*(t - 2)
Let n be -3*((-1)/(-66) + (-20)/110). Let q(d) be the second derivative of -1/6*d**3 + 1/20*d**5 - 1/12*d**4 + 0 + 2*d + n*d**2. Factor q(w).
(w - 1)**2*(w + 1)
Let t(x) = 3*x**4 - 4*x**3 + 2*x - 3. Let z(w) = -7*w**4 + 9*w**3 - 4*w + 7. Let h(d) = 5*t(d) + 2*z(d). Factor h(l).
(l - 1)**3*(l + 1)
Solve 3/7*s**2 + 0 - 1/7*s**3 - 2/7*s = 0 for s.
0, 1, 2
Suppose -4*h = -5*h - 2*a + 7, 3*h - 3*a + 6 = 0. Let t = -1 + h. Factor 1/4*d**3 + t - 1/4*d**2 + 0*d.
d**2*(d - 1)/4
Suppose 0*v - z = v + 3, 0 = 4*v - 2*z - 18. Find r such that r**5 - 2*r - 2*r**4 - r**5 - v*r + 2*r**5 + 10*r**2 - 6*r**3 = 0.
-2, 0, 1
Let o(f) = -f**2 - 7*f + 9. Let t be o(-7). Let r = t + -7. Suppose 2/5*s**r + 4/5*s + 2/5 = 0. What is s?
-1
Let j(i) be the second derivative of -i**7/273 - i**6/65 - i**5/65 + 6*i. Factor j(y).
-2*y**3*(y + 1)*(y + 2)/13
Let k(j) = 2*j - 7. Let t be k(5). Solve 12*d**2 + 3*d**5 + 28*d**t - 4*d**3 + 11*d**4 + 4*d**4 = 0.
-2, -1, 0
Let d(r) be the third derivative of 5*r**8/336 + r**7/7 + 7*r**6/12 + 4*r**5/3 + 15*r**4/8 + 5*r**3/3 - 10*r**2. Let d(m) = 0. Calculate m.
-2, -1
Let p(z) = z**3 + 2*z**2 - 33*z - 8. Let j be p(5). Let -1/3*w**j - 1/3 + 2/3*w = 0. What is w?
1
Let q(v) be the third derivative of v**9/30240 - v**8/4480 + v**7/2520 - v**4/12 - 3*v**2. Let o(d) be the second derivative of q(d). Factor o(m).
m**2*(m - 2)*(m - 1)/2
Let n(j) be the third derivative of 1/3*j**4 + 3*j**2 + 0 - 1/15*j**5 + 0*j + 1/180*j**6 - 1/6*j**3. Let z(x) be the first derivative of n(x). Factor z(c).
2*(c - 2)**2
Let l = 1 + 9. Suppose 0 - 2 = 5*b + 4*d, 0 = -2*b + 2*d + l. Factor o**5 + 0*o**4 - 3*o**3 - o**b + 0*o + o**4 + 0*o**4 + 2*o.
o*(o - 1)**2*(o + 1)*(o + 2)
Let k(w) be the second derivative of 5*w**7/21 + w**6/12 - 8*w**5/15 + w**4/3 + w**2 + 3*w. Let m(f) be the first derivative of k(f). Factor m(q).
2*q*(q + 1)*(5*q - 2)**2
Let z(n) be the second derivative of 0 - 4/15*n**3 - 2*n + 1/30*n**4 + 4/5*n**2. Factor z(y).
2*(y - 2)**2/5
Let q = 9 - 6. Let v be (8/(-6))/((-2)/q). Factor 2*b**5 + 2*b**3 - 2*b**3 + 0*b**5 + 4*b**4 - v*b - 4*b**2.
2*b*(b - 1)*(b + 1)**3
Let y(s) be the second derivative of -s**6/180 + s**3/3 + s. Let n(x) be the second derivative of y(x). Factor n(l).
-2*l**2
Let p(f) = -3*f**2 + 6*f - 12. Let j(z) = z. Let t(v) = -6*j(v) - p(v). Factor t(d).
3*(d - 2)**2
Let q(z) be the second derivative of z**5/210 + z**4/21 + z**3/7 - 3*z**2/2 + 9*z. Let n(i) be the first derivative of q(i). Suppose n(f) = 0. What is f?
-3, -1
Let r = 0 + 3. Suppose -r*s = -4 - 2. Solve 4*d - 4*d**s + 3*d**3 - 5*d**3 - 6*d = 0.
-1, 0
Suppose 0 = 5*w - 18 + 8. Factor -1 - 1/2*u**w + 3/2*u.
-(u - 2)*(u - 1)/2
Let g = 27 + -7. Suppose 5*p + 2*z + 2 - 12 = 0, 0 = 2*p - 4*z + g. Factor 6/5*x**5 + 2/5*x**3 + p - 8/5*x**4 + 0*x + 0*x**2.
2*x**3*(x - 1)*(3*x - 1)/5
Let l(w) = w**2 - 9*w + 14. Let r be l(7). Let a(h) = h - 1. Let g be a(3). Factor 1/3*o**g + r*o + 0.
o**2/3
Let t = 15/31 + 1/62. Determine y so that -t*y**5 + y**2 + 0*y**3 + 1/2*y - y**4 + 0 = 0.
-1, 0, 1
Suppose 14*t = 18*t - 20. Let d(v) be the third derivative of 0*v - 1/90*v**t - 1/72*v**4 - 1/360*v**6 + 2*v**2 + 0 + 0*v**3. Factor d(l).
-l*(l + 1)**2/3
Let h be 2/14*2 - (-330)/315. Factor 0 - 4/3*z**2 + 1/3*z**3 + h*z.
z*(z - 2)**2/3
Let y be (-32)/(-12) - 2/3. Suppose 3 = 3*a - y*a. Factor 2*p - 18*p - 2*p**a - 19*p - 19*p + 54 + 18*p**2.
-2*(p - 3)**3
Let c(j) = -2 - j**4 - 3 + 5 - 1 - j. Let l(x) = 4*x**4 + x**3 + 5*x + 5. Let r(i) = 10*c(i) + 2*l(i). Factor r(h).
-2*h**3*(h - 1)
Let d(i) be the second derivative of i**7/63 - 4*i**6/45 + i**5/6 - i**4/9 + 5*i. Let d(v) = 0. Calculate v.
0, 1, 2
Let t(l) be the second derivative of l**7/7560 - l**6/1080 + l**5/360 - l**4/12 - 3*l. Let n(d) be the third derivative of t(d). Factor n(w).
(w - 1)**2/3
Let s(i) be the first derivative of i**5/30 - i**4/4 + i**3/18 + 2*i**2 + 8*i/3 + 13. Factor s(t).
(t - 4)**2*(t + 1)**2/6
Let k(z) be the third derivative of 0*z**3 + 0 - 1/72*z**4 - z**2 + 1/360*z**5 + 0*z + 1/720*z**6. Determine p, given that k(p) = 0.
-2, 0, 1
Let r(f) be the first derivative of f**6/50 + 3*f**5/100 - f**4/20 - f**3/10 - 7*f + 1. Let z(t) be the first derivative of r(t). Factor z(x).
3*x*(x - 1)*(x + 1)**2/5
Let w = -18 + 10. Let n = w + 2. Let p(t) = 8*t**2