 Let q(b) be the third derivative of v(b). Factor q(n).
n*(n - 1)*(n + 1)**3
Factor 48 + 3*q**3 - 36 + 13*q + 11*q + 15*q**2.
3*(q + 1)*(q + 2)**2
Let d(u) = -22*u**2 + 14*u - 22. Let b(n) = -7*n**2 + 5*n - 7. Let j(o) = 10*b(o) - 3*d(o). Find q such that j(q) = 0.
1
Let t = -80/3 - -27. Factor t*j**3 + 1/6*j**4 + 0*j + 0 + 1/6*j**2.
j**2*(j + 1)**2/6
Let x(f) = f**3 - 4*f**2 + 5*f - 4. Let n be x(3). Factor 0*r - 5*r**4 - r - n + 4 + 13*r**3 - 9*r**2.
-(r - 1)**3*(5*r + 2)
Let x(o) be the third derivative of o**9/3024 + o**8/840 + o**7/840 + o**3/2 - o**2. Let g(c) be the first derivative of x(c). Find b such that g(b) = 0.
-1, 0
Let t(r) = 21*r**2 + 75*r - 36. Let g(a) be the second derivative of a**3/6 - a**2/2 - 3*a. Let i(p) = 18*g(p) - t(p). Solve i(b) = 0.
-3, 2/7
Let c(q) be the first derivative of 0*q**3 + 1/3*q**6 - 1/2*q**4 + 0*q + 0*q**5 + 0*q**2 - 10. Find m, given that c(m) = 0.
-1, 0, 1
Let z = 52 - 50. Let d(g) be the first derivative of 0*g - g**z + 2 - 1/3*g**3. Factor d(h).
-h*(h + 2)
Suppose 0*k = 2*k + 12. Let q(v) = 4*v**3 - 8*v**2 - 2*v + 6. Let t(c) = c**3 - c**2 + c - 1. Let s(u) = k*t(u) - q(u). Find w such that s(w) = 0.
0, 2/5, 1
Let r(j) be the third derivative of 3/100*j**5 + 1/560*j**8 - 1/20*j**4 + 0 + 0*j + 10*j**2 + 1/200*j**6 + 0*j**3 - 3/350*j**7. Find m such that r(m) = 0.
-1, 0, 1, 2
Factor -2/9 + 0*z + 2/9*z**2.
2*(z - 1)*(z + 1)/9
Let o(m) = -4*m**3 + m**2 - m - 3. Let i(x) = 15*x**3 - 4*x**2 + 3*x + 11. Let z(d) = -6*i(d) - 22*o(d). Factor z(q).
-2*q*(q - 2)*(q + 1)
Let c(a) = -a - 10. Suppose 4*b + 43 = -5. Let m be c(b). Factor -m - 8*w**2 + 2*w**3 + 3*w**5 - 4*w**3 - 7*w - 2*w**5 + 2*w**4.
(w - 2)*(w + 1)**4
Let a(p) = p**3 + 6*p**2 + 2. Let v be a(-6). Let f(x) be the second derivative of v*x + 1/15*x**3 - 1/30*x**4 + 0*x**2 + 0. Factor f(s).
-2*s*(s - 1)/5
Let b(s) be the first derivative of 1/9*s**6 + 0*s**5 + 0*s - 2 + 0*s**3 - 1/3*s**4 + 1/3*s**2. Factor b(y).
2*y*(y - 1)**2*(y + 1)**2/3
Let w be 4*4/(-6)*(-21)/28. Factor -1/6*l**3 - 1/6 + 1/6*l + 1/6*l**w.
-(l - 1)**2*(l + 1)/6
Let p(y) be the third derivative of -1/40*y**6 - 1/336*y**8 + 0*y + 0*y**4 + 0 - 3*y**2 + 1/60*y**5 + 0*y**3 + 1/70*y**7. Factor p(q).
-q**2*(q - 1)**3
Let b be 5 + 0 + -1 + 0. Suppose -3*i + b*i = 0. Suppose 2/3*c**2 - 1/3*c**3 - 2/3*c**4 + i + 1/3*c = 0. Calculate c.
-1, -1/2, 0, 1
Let o(i) = -2*i**3 + 15*i**2 + 11*i. Let w(f) = -f**3 + 8*f**2 + 6*f. Let z(h) = -6*o(h) + 11*w(h). Let z(q) = 0. Calculate q.
0, 2
Let w = 11 + -5. Suppose 0 = s - 1, s - 2 = 5*q - 31. Factor -2*t**5 + 5*t**5 - w*t**4 - 3*t**3 + q*t**3.
3*t**3*(t - 1)**2
Let i(q) be the third derivative of -q**6/480 + q**4/32 + q**3/12 - 2*q**2. Solve i(l) = 0.
-1, 2
Let g(n) be the third derivative of n**10/45360 - n**8/10080 - 5*n**4/24 + 6*n**2. Let r(l) be the second derivative of g(l). Find t such that r(t) = 0.
-1, 0, 1
Let r be (-6 - 0 - -1)/(1*-1). Let t = 32 - 63/2. Find q such that 1/4*q**r + 1/2*q**2 + 1/4 + t*q**3 - 3/4*q**4 - 3/4*q = 0.
-1, 1
Let v(w) be the first derivative of -1/12*w**3 - 1/16*w**4 + 0*w + 0*w**2 + 8. Factor v(g).
-g**2*(g + 1)/4
Suppose 3 = 3*h - 3. Let d(y) = -3*y**2 - 6*y - 10. Suppose -2*x + 6 = 20. Let t(j) = -j**2 - 2*j - 3. Let z(i) = h*d(i) + x*t(i). Solve z(v) = 0.
-1
Factor 0 + 0*i + 2/5*i**2 + 0*i**3 - 2/5*i**4.
-2*i**2*(i - 1)*(i + 1)/5
Let l(s) be the second derivative of s + 1/3*s**3 + 0*s**4 - 1/180*s**6 + 0*s**2 + 1/60*s**5 + 0. Let a(x) be the second derivative of l(x). Factor a(k).
-2*k*(k - 1)
Let u = -21 - -45. Let q be (-2)/(-1) + u/(-14). Solve q + 4/7*h - 4/7*h**2 - 2*h**4 - 16/7*h**3 - 4/7*h**5 = 0 for h.
-1, 1/2
Suppose 9*f - 10*f = 0. Let u(c) be the third derivative of -1/24*c**4 - 3*c**2 + 0 + f*c + 1/6*c**3 + 1/240*c**5. Factor u(g).
(g - 2)**2/4
Let 6/5*p**4 + 0*p + 3/5*p**5 + 0*p**2 + 0 + 3/5*p**3 = 0. What is p?
-1, 0
Suppose 0 = -c - 3 + 7. Suppose 8 = s + 4*z + z, 5*z = 3*s - c. Find v such that -3*v**s + 4*v**2 + v**4 + 4*v**5 - 5*v**4 + v**3 - 2*v**5 = 0.
-1, 0, 1, 2
Let j be (5/4)/(2/8). Suppose j*w = 2*w. Factor 5*s**2 - 8*s**4 + 5*s**4 + s - s**3 - 2 + w*s**2.
-(s - 1)*(s + 1)**2*(3*s - 2)
Let a(j) be the third derivative of 4*j**2 + 0 + 0*j - 1/420*j**7 + 1/40*j**5 + 1/3*j**3 + 1/120*j**6 - 1/6*j**4. Factor a(d).
-(d - 2)*(d - 1)**2*(d + 2)/2
Let q(p) be the third derivative of p**6/420 + 2*p**5/105 + 5*p**4/84 + 2*p**3/21 + 2*p**2. What is v in q(v) = 0?
-2, -1
Let s be -6*(2/(-4) - 0). Let x(b) = -b**2. Let d(r) = -r**3 - 2*r**2 + 2*r. Let f(q) = s*d(q) - 3*x(q). Factor f(i).
-3*i*(i - 1)*(i + 2)
Let m(b) be the second derivative of -b**5/110 - b**4/33 - b**3/33 + 12*b. Factor m(c).
-2*c*(c + 1)**2/11
Let s(o) be the second derivative of o**5/240 + o**4/48 + o**3/24 - 3*o**2/2 + 5*o. Let n(v) be the first derivative of s(v). Factor n(z).
(z + 1)**2/4
Let v(s) be the first derivative of -s**7/525 + s**6/300 + s**2 - 1. Let p(j) be the second derivative of v(j). What is a in p(a) = 0?
0, 1
Let n(j) be the third derivative of -j**8/112 - j**7/70 + j**6/20 + j**5/10 - j**4/8 - j**3/2 + 21*j**2. Factor n(z).
-3*(z - 1)**2*(z + 1)**3
Suppose 2*o - 5*z + 10 = -z, -2*o - 3*z + 18 = 0. Factor -4*k + 3*k**o - 14*k**4 + 0*k**2 + 0*k - 35*k**3 - 22*k**2.
-2*k*(k + 1)**2*(7*k + 2)
Let y(g) be the first derivative of g**4/2 - g**3/3 - 5*g**2/2 - 2*g - 9. Solve y(u) = 0.
-1, -1/2, 2
Let n(v) be the third derivative of 3*v**2 - 13/70*v**7 + 1/2*v**3 + 1/32*v**8 + 0 - 1/16*v**4 - 2/5*v**5 + 0*v + 17/40*v**6. Solve n(s) = 0.
-2/7, 1
Let k(d) = d**3 + 4*d**2 + 2*d. Let z be k(-3). Suppose 2*x**2 + x + x**3 - 3*x**3 + z*x = 0. What is x?
-1, 0, 2
Let w(l) = 2*l**2 - 17*l + 17. Let o(i) = -3*i**2 + 33*i - 33. Let b(k) = 3*o(k) + 7*w(k). Factor b(g).
5*(g - 2)**2
Suppose -2*t = -3*h + 10, -2*t - 8 - 6 = -4*h. Factor -4*r**3 - 16*r**2 - h + 4 + 21*r - 33*r.
-4*r*(r + 1)*(r + 3)
Let v(m) = -m**3 - 7*m**2 - 3*m - 3. Let i(t) = 6*t**3 + 36*t**2 + 16*t + 16. Let g(y) = 3*i(y) + 16*v(y). Suppose g(b) = 0. Calculate b.
0, 2
Let u(n) be the third derivative of -n**5/60 - n**4/3 - 8*n**3/3 - n**2. Let u(d) = 0. Calculate d.
-4
Let d(h) be the first derivative of -4*h**5/5 - 3*h**4 - 4*h**3 - 2*h**2 + 9. Determine k so that d(k) = 0.
-1, 0
Let a(k) be the second derivative of k**7/42 + k**6/75 - 3*k**5/20 + k**4/15 + 2*k**3/15 + 10*k. Solve a(z) = 0.
-2, -2/5, 0, 1
Let f = 301 + -301. Determine y, given that -2/9*y**2 + f + 4/9*y - 2/9*y**3 = 0.
-2, 0, 1
Let r(o) be the second derivative of o**5/30 - 7*o**4/18 + 5*o**3/3 - 3*o**2 + 25*o. Solve r(p) = 0 for p.
1, 3
Let f(t) be the first derivative of 1/4*t - 9 + 3/32*t**4 + 7/16*t**2 + 1/3*t**3. Factor f(y).
(y + 1)**2*(3*y + 2)/8
Let z(p) be the first derivative of 1/8*p**3 - 3 + 1/48*p**4 + 2*p + 1/4*p**2. Let h(m) be the first derivative of z(m). Determine a so that h(a) = 0.
-2, -1
Suppose -3*f = f - 12. Suppose -t**2 + t**3 - 3*t + f*t = 0. What is t?
0, 1
Let w(c) be the second derivative of 2*c**7/21 - 2*c**5/5 + 2*c**3/3 - 2*c. Factor w(y).
4*y*(y - 1)**2*(y + 1)**2
Let -16 - 18 - 2*q + 38 - 2*q**2 = 0. What is q?
-2, 1
Let s(q) = 24*q + 292. Let p be s(-12). Solve 0 + 2/3*i + 2/9*i**p + 14/9*i**2 + 10/9*i**3 = 0.
-3, -1, 0
Suppose 6*f - f = 25. Determine v, given that -v**2 + 2*v**4 + 3*v**3 - 2 - f*v**2 - 2*v**2 + v**5 - 5*v**3 - 7*v = 0.
-1, 2
Let c(a) be the first derivative of a + 1/12*a**4 + 2 + 0*a**2 - 1/6*a**3. Let n(i) be the first derivative of c(i). Determine d, given that n(d) = 0.
0, 1
Let o(y) be the third derivative of -y**6/240 - y**5/360 + y**4/12 + y**3/9 + 12*y**2. Factor o(p).
-(p - 2)*(p + 2)*(3*p + 1)/6
Let 7*b**2 + 8*b**4 - b**2 + 2*b**5 - 2*b**2 + 7*b**3 + 3*b**3 = 0. Calculate b.
-2, -1, 0
Let t(q) be the first derivative of -q**7/7 - 8*q**6/15 - 2*q**5/5 + q**4 + 7*q**3/3 + 2*q**2 + q - 3. Let k(i) be the first derivative of t(i). Solve k(v) = 0.
-1, -2/3, 1
Let w(l) be the second derivative of 1/24*l**3 + 0 + 0*l**2 - 1/160*l**5 - 2*l - 1/96*l**4. Solve w(x) = 0 for x.
-2, 0, 1
Let t(v) be the third derivative of 4*v**2 - 2/3*v**3 + 0 + 0*v - 1/30*v**6 + 1/6*v**4 + 1/15*v**5. Suppose t(s) = 0. Calculate s.
-1, 1
Let l be 418/(-60) - -4 - -3. Let c(x) be the third derivative of l*x**6 + 0 + 0*x + 0*x**3 + 0*x**4 - 1/30*x**5 - 1