e third derivative of b(u). Factor z(w).
-2*w*(w - 1)*(w + 3)/15
Factor -7*a**4 + a**4 + a**4 + a**4 - 16*a**3 + 52*a**2 - 32*a**3.
-4*a**2*(a - 1)*(a + 13)
Let u(a) = -a**2 + 7*a - 7. Suppose 7*c - 10 = 5*c. Let y be u(c). Solve -12*m**2 - 4*m - 2*m**3 - 14*m + 0*m**y = 0.
-3, 0
Let q(p) be the first derivative of -p**4/4 + 2*p**3/3 - p**2/2 + 22. Factor q(k).
-k*(k - 1)**2
Suppose -10/9*t**4 - 4/9*t + 2/9*t**5 - 16/9 + 26/9*t**2 + 2/9*t**3 = 0. What is t?
-1, 1, 2, 4
Let d be 60/21 - 3 - 2/(-14). Let w(n) be the second derivative of d*n**2 + 1/30*n**5 + 7*n - 1/90*n**6 + 0*n**3 - 1/36*n**4 + 0. What is t in w(t) = 0?
0, 1
Let o(f) be the first derivative of 8*f**5/55 - 23*f**4/22 + 76*f**3/33 - 13*f**2/11 - 12*f/11 - 30. Let o(z) = 0. Calculate z.
-1/4, 1, 2, 3
Let d(b) be the second derivative of 1/3*b**3 + 5/9*b**2 - 1/90*b**5 + 26*b + 1/18*b**4 + 0. Determine k, given that d(k) = 0.
-1, 5
Factor 4/9 - 1/3*a - 1/9*a**2.
-(a - 1)*(a + 4)/9
Suppose -2*r + 64 = 2*m + 2*r, -28 = -2*m + 5*r. Suppose -m - 48 = -2*p. Factor -8 - 1 + 2 - 1 - 16*o**2 + p*o.
-4*(o - 2)*(4*o - 1)
Let h = 1/27 + 17/270. Let w(s) be the first derivative of -1/5*s**6 + 1 + 8/25*s**5 + 0*s**2 - h*s**4 + 0*s + 0*s**3. Solve w(q) = 0 for q.
0, 1/3, 1
Let w(n) = n**2 + 2*n - 1. Let j be w(-3). Suppose 5*i - 7 + j = 0. Let 9 - i - 14*f**2 + 20*f + 4*f = 0. What is f?
-2/7, 2
Let a(b) be the first derivative of -b**4/22 + 38*b**3/33 - 9*b**2 + 162*b/11 + 225. Solve a(w) = 0.
1, 9
Let n(r) be the second derivative of 0*r**2 + 0 - 1/15*r**4 - 1/50*r**5 - 1/15*r**3 - 14*r. Factor n(a).
-2*a*(a + 1)**2/5
Let d(u) = u**4 + u**3 + 2*u**2 + u + 1. Let s(b) = -30*b**4 - 70*b**3 - 125*b**2 - 60*b - 25. Let i(g) = -25*d(g) - s(g). Factor i(l).
5*l*(l + 1)**2*(l + 7)
Let y(r) = -r. Let o(l) = 3*l**2 - 12*l + 18. Let b(p) = -o(p) - 3*y(p). Solve b(d) = 0 for d.
2, 3
Let w = 57/5 - 379/35. Factor 0*n + 0 - 4/7*n**2 - w*n**3.
-4*n**2*(n + 1)/7
Let v be 1*18/8 + 11*20/(-880). Factor 2/15*u**v + 2/3*u + 0.
2*u*(u + 5)/15
Let k be (1/(-3))/(-9*8/96). Let p(l) be the third derivative of 0*l + k*l**3 + 1/9*l**4 + 1/90*l**5 + 0 - l**2. Factor p(b).
2*(b + 2)**2/3
Let v be ((-16)/(-10) - 2) + 48/20. Determine h, given that 70*h + 122 - 113 - 21*h**v + 26*h**2 + 236 = 0.
-7
Let x(s) = s**4 + 9*s**3 - 28*s**2 + 2*s + 2. Let o(g) = 5*g**4 + 35*g**3 - 112*g**2 + 9*g + 9. Let v(t) = 2*o(t) - 9*x(t). Determine h so that v(h) = 0.
0, 4, 7
Let q = 97 - 31. Suppose -10*k**2 + 5*k**4 + q - 124 + 58 + 5*k**3 = 0. Calculate k.
-2, 0, 1
Let u(l) = -2*l - 2. Suppose 4*c = -5*h + 7, -3*h - 4*c + 12 = c. Let v be u(h). Determine o so that o**2 - o**4 - 1/4*o**5 - 3/4*o**3 + v + o = 0.
-2, -1, 0, 1
Let p(v) = -20*v**3 + 165*v**2 + 240*v + 55. Let n(c) = 19*c**3 - 164*c**2 - 239*c - 56. Suppose 15 = 15*y - 12*y. Let z(k) = y*n(k) + 4*p(k). Solve z(l) = 0.
-1, -1/3, 12
Let z(q) be the third derivative of -q**5/120 + q**4/12 + 5*q**3/12 - 2*q**2 + 10*q. Determine x, given that z(x) = 0.
-1, 5
Let j(g) be the third derivative of g**10/5400 - 23*g**9/15120 + g**8/252 - g**7/315 + g**5/20 - 10*g**2. Let w(r) be the third derivative of j(r). Factor w(d).
4*d*(d - 2)*(d - 1)*(7*d - 2)
Factor -2/3*g**3 + 0 - 6*g**2 + 20/3*g.
-2*g*(g - 1)*(g + 10)/3
Let y(v) = -v**2 + 4*v + 1. Let j(w) = w**2 + 14*w - 43. Let z(g) = j(g) - 2*y(g). Find n, given that z(n) = 0.
-5, 3
Suppose 1 = -3*i - j + 32, -3*j = 2*i - 9. Suppose 0 = -m - 5*x - 12, -21 = -3*m - 2*m + 2*x. Find s such that -i*s - s**m + 4*s**2 - 13 + 2*s**2 + 21 = 0.
2
Let h(q) = q**2 + 12*q + 13. Let a be h(-11). Suppose -m + k - 3 = 0, a*m + 0 + 18 = 5*k. Suppose -m - c**2 + c - 1 + 2*c**2 = 0. What is c?
-2, 1
Let v(l) be the third derivative of l**7/12 - 59*l**6/240 + 7*l**5/30 - l**4/12 + 86*l**2 + 2*l. Determine a, given that v(a) = 0.
0, 2/7, 2/5, 1
Let w(f) = -f**3 + 2*f**2 - 36*f + 3. Let y be w(0). Factor 0 + 0*o + 2/3*o**2 + 2/3*o**y.
2*o**2*(o + 1)/3
Let w(z) be the second derivative of z**5/140 + 3*z**4/14 + 5*z**3/2 + 14*z**2 + 236*z. Suppose w(i) = 0. What is i?
-7, -4
Let m be (2 - (6 - 4))*(-2)/4. Suppose 3*t - 5*z + 2 - 11 = m, t = -3*z + 3. Find q such that 9/4*q**2 - 1/2*q**t + 1 - 3*q = 0.
1/2, 2
Let x(v) be the first derivative of -4 + 1/21*v**3 + 2/7*v - 3/14*v**2. Factor x(k).
(k - 2)*(k - 1)/7
Let f(j) = 3*j**3 - 6*j**2 - j - 2. Let k(n) = -n**3 - n. Let q(r) = f(r) + 5*k(r). Factor q(z).
-2*(z + 1)**3
Let s(l) be the second derivative of l**4/4 + 29*l**3 + 2523*l**2/2 - 3*l - 11. Factor s(j).
3*(j + 29)**2
Let p be (2 + -8 - 1)*(-17 + 15). Suppose -100*h = -93*h - p. What is d in 0 + 1/5*d**3 + 2/5*d + 3/5*d**h = 0?
-2, -1, 0
Let h(u) be the second derivative of u**9/30240 - u**8/13440 + u**4/12 - 11*u. Let w(b) be the third derivative of h(b). Factor w(r).
r**3*(r - 1)/2
Factor 0 - 3*d**2 - 3/4*d**3 + 3*d + 3/4*d**4.
3*d*(d - 2)*(d - 1)*(d + 2)/4
Let g(h) be the first derivative of 0*h + 1/2*h**2 + 1/270*h**5 - 1/27*h**3 + 0*h**4 - 4. Let u(k) be the second derivative of g(k). Factor u(w).
2*(w - 1)*(w + 1)/9
Let m = -330 + 330. Let f(k) be the third derivative of 0*k + m + 0*k**3 - k**2 + 1/180*k**5 + 1/36*k**4. Factor f(w).
w*(w + 2)/3
Let o(y) be the third derivative of 2/27*y**4 - 4/27*y**3 + 0*y - 1/270*y**6 - 3*y**2 + 1/945*y**7 + 0 - 1/90*y**5. Factor o(c).
2*(c - 2)*(c - 1)**2*(c + 2)/9
Let w(c) be the first derivative of -c**6/160 - c**5/48 - c**4/96 + c**3/24 - 25*c**2/2 - c - 57. Let x(p) be the second derivative of w(p). Factor x(i).
-(i + 1)**2*(3*i - 1)/4
Let i(b) = -69*b**4 - 402*b**3 - 849*b**2 + 978*b + 279. Let l(v) = -17*v**4 - 101*v**3 - 212*v**2 + 245*v + 70. Let g(x) = 5*i(x) - 21*l(x). Factor g(n).
3*(n - 1)*(n + 5)**2*(4*n + 1)
Let c(x) be the third derivative of x**5/150 + x**4/60 - 4*x**3/5 - 75*x**2. Suppose c(v) = 0. What is v?
-4, 3
Let k = 36 - 33. Suppose -6 = -y - 2, 4*v + y - 12 = 0. Factor -3*b**2 - 5*b**3 + v*b**2 - k*b**4 + 3*b**3 + 2*b**4.
-b**2*(b + 1)**2
Let t(j) be the first derivative of j**4/21 - 2*j**3/21 + j - 19. Let f(d) be the first derivative of t(d). Let f(r) = 0. Calculate r.
0, 1
Let j = -10 + 13. Suppose 21*w**3 - 12 - 36*w - 24*w**j - 9*w**2 + 18*w**3 = 0. Calculate w.
-1, -2/5, 2
Let m(n) be the second derivative of -5*n**7/168 + 11*n**6/10 - 1017*n**5/80 + 973*n**4/24 - 56*n**3 + 36*n**2 + 13*n + 1. Suppose m(p) = 0. What is p?
2/5, 1, 12
Factor 3*q**5 - 36*q**4 - 164*q**3 - 165*q - 22 - 22 - 256*q**2 - 9*q - q**5.
2*(q - 22)*(q + 1)**4
Let a(n) be the first derivative of n**4/24 + n**3/6 - 536. Solve a(m) = 0.
-3, 0
Let a(z) = 2*z**2 + 14*z + 2. Let f be a(-8). Suppose 8*x = 2*x + f. Factor 3/4*r**x + 15/4*r**2 + 6*r + 3.
3*(r + 1)*(r + 2)**2/4
Let x(q) be the third derivative of q**6/75 + 13*q**5/300 - q**4/20 - q**2 + 6*q. Factor x(g).
g*(g + 2)*(8*g - 3)/5
Suppose 2*j - 6*j - f = 255, 3*j + 3*f + 189 = 0. Let o = 129/2 + j. Let 0 - 2*n**2 - 2*n - o*n**3 = 0. What is n?
-2, 0
Let s(h) = 8 - 2*h**3 + h**3 - 9. Let n(j) = -j**4 + 2*j**3 + 3*j**2 + 2*j + 2. Let f(m) = 3*n(m) + 6*s(m). Determine y so that f(y) = 0.
-1, 0, 2
Let y(g) be the second derivative of -5*g**7/14 - 11*g**6/3 - g**5/2 + 15*g**4 + 25*g**3/6 - 35*g**2 + g + 19. Solve y(r) = 0 for r.
-7, -1, 2/3, 1
Let f(k) be the first derivative of 5/3*k**3 + 5*k - 13*k**2 + 11. Let f(n) = 0. What is n?
1/5, 5
Factor -90 - 5*s**2 - 14*s**3 - 4*s**3 - 5*s**4 - 17*s**3 + 135*s.
-5*(s - 1)**2*(s + 3)*(s + 6)
Let i(m) be the first derivative of m**4 + 108*m**3 + 624*m**2 + 1232*m - 815. Find j, given that i(j) = 0.
-77, -2
Let y(x) be the second derivative of x**5/5 - 10*x**4/3 - 16*x**3 - 151*x. Factor y(p).
4*p*(p - 12)*(p + 2)
Let q(c) be the third derivative of 5*c**8/504 - c**7/105 - 7*c**6/180 + c**5/30 + c**4/18 + 302*c**2. Let q(w) = 0. Calculate w.
-1, -2/5, 0, 1
Let u(c) be the first derivative of 3/2*c**2 - 9 - 3/2*c**4 + 0*c + 1/2*c**6 + 0*c**3 + 0*c**5. Factor u(x).
3*x*(x - 1)**2*(x + 1)**2
Suppose 4*g - 2*g - 4 = 0. Let a = 938/11 + -1865/22. Determine m, given that -a*m + 1/4*m**g + 0 = 0.
0, 2
What is w in 4*w + 1/2*w**2 + 6 = 0?
-6, -2
Factor -14/5*k**3 + 0 - 1/5*k**4 - 12*k**2 - 72/5*k.
-k*(k + 2)*(k + 6)**2/5
Let i(c) = -2*c**2 + 18*c - 14. Let z be i(8). Factor 14*u + z - 5 - 2*u**3 - 20*u - 6*u**2 + 1.
-2*(u + 1)*