) be the third derivative of i(w). Suppose q(x) = 0. What is x?
-1, 0
Let x be 6/10 + (-144)/(-60). Let d(g) be the third derivative of 0 + 1/60*g**5 + 2/3*g**x + 1/6*g**4 - 3*g**2 + 0*g. Suppose d(c) = 0. What is c?
-2
Let q(d) be the second derivative of -d**4/54 + d**3/9 - 2*d**2/9 - 7*d. Factor q(s).
-2*(s - 2)*(s - 1)/9
Let w(v) = -v**3 - v**2 - v - 6. Let b be w(0). Let r be (2/3)/((-1)/b). Factor -1 + 0*z**3 + 4*z**3 - r*z**4 + 7*z + 3*z**4 - 6*z**2 - 3*z.
-(z - 1)**4
Let n(y) = 9*y**4 - y**3 - 4*y**2 - 9*y. Let f(w) = -8*w**4 + 4*w**2 + 8*w. Let i(p) = 5*f(p) + 4*n(p). Factor i(z).
-4*z*(z - 1)*(z + 1)**2
Let u(v) be the first derivative of -2*v**5/25 + 3*v**4/10 - 4*v**3/15 + 4. Let u(f) = 0. Calculate f.
0, 1, 2
Let m(b) be the third derivative of 1/165*b**6 - 2/33*b**3 + 5/1848*b**8 + 0 + 3*b**2 - 1/33*b**5 + 0*b - 3/44*b**4 + 4/385*b**7. Suppose m(a) = 0. What is a?
-1, -2/5, 1
Let v(h) = 3*h**4 - h**3 - 12*h**2 + 6*h + 9. Let b(c) = c**3. Let m(o) = 5*b(o) - v(o). Let m(d) = 0. What is d?
-1, 1, 3
Let r(l) be the second derivative of -l**7/63 - 7*l**6/180 - l**5/60 + l**4/72 - 2*l. Let r(g) = 0. What is g?
-1, 0, 1/4
Let w(b) be the third derivative of 0 + 0*b - 3*b**2 - 1/8*b**4 + 0*b**3 + 0*b**5 + 1/40*b**6. What is v in w(v) = 0?
-1, 0, 1
Factor 4*l**3 + l**3 - l**3 + 8*l**2.
4*l**2*(l + 2)
Let b(y) be the second derivative of 0 + 3*y**2 - 9/20*y**5 + 3/2*y**3 - 1/10*y**6 - 1/4*y**4 + y. Determine g so that b(g) = 0.
-2, -1, 1
Let g(m) be the second derivative of -m**4/12 - m**3/2 - m**2 + m. What is v in g(v) = 0?
-2, -1
Let x(c) = c**3 + c**2 + c. Let w(y) = -y**3 + y**2 + 10*y - 4. Let m(u) = -3*w(u) + 6*x(u). Factor m(q).
3*(q - 1)*(q + 2)*(3*q - 2)
Let w(q) = 4*q**5 - 18*q**4 + 26*q**3 - 18*q**2 + 6*q. Let a(b) = -12*b**5 + 55*b**4 - 79*b**3 + 55*b**2 - 19*b. Let m(o) = 2*a(o) + 7*w(o). Factor m(k).
4*k*(k - 1)**4
Let p(m) be the second derivative of m**4/54 + 2*m**3/27 - 6*m. Let p(o) = 0. Calculate o.
-2, 0
Let x = -21 + 191/9. Let -2/9 + x*j**2 + 0*j = 0. What is j?
-1, 1
Let f(t) be the first derivative of 3*t**4/16 + 7*t**3/8 + 21*t**2/16 + 3*t/4 - 2. What is s in f(s) = 0?
-2, -1, -1/2
Let j(x) = -66*x**5 + 27*x**4 + 78*x**3 - 27*x**2 - 12*x. Let r(t) = 5*t**5 - 2*t**4 - 6*t**3 + 2*t**2 + t. Let v(f) = 2*j(f) + 27*r(f). Factor v(y).
3*y*(y - 1)**2*(y + 1)**2
Let t(c) = 2*c**4 + 14*c**3 + 6*c**2 - 14*c - 8. Let v(k) = -k**4 - 5*k**3 - 2*k**2 + 5*k + 3. Let w(g) = -3*t(g) - 8*v(g). Solve w(y) = 0.
-1, 0, 1
Let t(b) be the third derivative of 0*b**4 + 1/60*b**6 + 0 + 0*b + 1/30*b**5 + 0*b**3 - 6*b**2. Determine w so that t(w) = 0.
-1, 0
Suppose 6*h - 12 = -0*h. Find k such that 0 + 1/3*k + 1/3*k**h = 0.
-1, 0
Let l(h) = h + 2. Suppose -2*p + 2 = -a + 6, -3*p = -a + 4. Let c be l(p). Find r such that -1/2*r**c + 0 + 0*r = 0.
0
Let o be (-3)/(798/(-802)) - 3. Let z = 526/399 + o. Factor -z - 4/3*x - 1/3*x**2.
-(x + 2)**2/3
Let w = -2/1249 - -26233/2498. Factor 13/2*n**2 + n + w*n**3 + 0.
n*(3*n + 1)*(7*n + 2)/2
Suppose 0 = 9*c + 2*c - 66. Determine k so that -22/5*k**4 + 0 + 4/5*k + c*k**3 + 6/5*k**5 - 18/5*k**2 = 0.
0, 2/3, 1
Determine u, given that -56*u**3 + 3*u**5 - 6*u**2 + 3*u**4 + 3*u + 6 - 3 + 50*u**3 = 0.
-1, 1
Let d(z) = -z**2 + 2*z - 1. Let a be d(3). Let y be (-40)/32 - 6/a. Let -1/2*t + 1/4 - y*t**4 + 1/2*t**3 + 0*t**2 = 0. What is t?
-1, 1
Suppose 0 = u - 32 - 16. Let n be (1/1)/(16/u). Suppose 2/5*i**4 + 0 + 12/5*i**n + 16/5*i + 24/5*i**2 = 0. What is i?
-2, 0
Let x(c) = 4*c**4 + 4*c**3 + 12*c**2 + 16*c + 4. Let z(m) = -3*m**4 - 3*m**3 - 11*m**2 - 15*m - 4. Let r(a) = -5*x(a) - 6*z(a). Suppose r(q) = 0. Calculate q.
-1, 2
Let i(j) be the first derivative of -3*j**4/4 - 8*j**3 - 24*j**2 - 9. Factor i(v).
-3*v*(v + 4)**2
Let j(z) = z**3 - 14*z**2 + 14*z - 12. Let v be j(13). Factor 0*d**3 - 3*d**2 + v + d**4 + 3 - 4*d + 2*d**3.
(d - 1)**2*(d + 2)**2
Let u(y) be the second derivative of 0*y**2 + 0 - 1/80*y**5 - 6*y + 1/168*y**7 + 0*y**6 + 0*y**3 + 0*y**4. Factor u(w).
w**3*(w - 1)*(w + 1)/4
Let m(u) be the second derivative of -u**4/24 + u. Factor m(z).
-z**2/2
Let u(a) = 5*a**4 + 40*a**3 + 95*a**2 + 95*a + 35. Let t(f) = 5*f**4 + 41*f**3 + 96*f**2 + 94*f + 34. Let q(l) = 5*t(l) - 6*u(l). Factor q(r).
-5*(r + 1)*(r + 2)**3
Let l(s) be the first derivative of 1/4*s**4 - 1/3*s**3 - 9 + s - 1/2*s**2. Factor l(u).
(u - 1)**2*(u + 1)
Let p(d) = -2*d**5 - 32*d**4 + 28*d**3 - 32*d**2 - 2*d + 8. Let w(y) = y**5 + 21*y**4 - 19*y**3 + 21*y**2 + y - 5. Let g(i) = 5*p(i) + 8*w(i). Factor g(t).
-2*t*(t - 1)**4
Let l = 774 + -1533/2. Factor 21/2*n + 27/2*n**2 + l*n**3 + 3 + 3/2*n**4.
3*(n + 1)**3*(n + 2)/2
Suppose -8 = -b - 3*b. Factor -5*p**2 + 5*p**b - p**3 + p**4.
p**3*(p - 1)
Let b(p) be the second derivative of p**8/40320 - p**7/15120 - p**6/4320 + p**5/720 - p**4/4 - 2*p. Let f(s) be the third derivative of b(s). Factor f(u).
(u - 1)**2*(u + 1)/6
Factor -25/2*x**3 - 3 + 11/2*x + 10*x**2.
-(x - 1)*(5*x - 2)*(5*x + 3)/2
Let p be (-25)/(-6) + 1 + -5. Let z(c) be the second derivative of 0*c**3 + p*c**2 + c + 0 - 1/36*c**4. Solve z(k) = 0.
-1, 1
Let j(b) be the second derivative of 1/6*b**3 - 4*b + 0 + b**2 - 1/12*b**4. What is o in j(o) = 0?
-1, 2
Let l(n) be the third derivative of 49*n**6/60 + 21*n**5/5 + 5*n**4 + 8*n**3/3 + 17*n**2. Solve l(r) = 0 for r.
-2, -2/7
Let c(j) be the second derivative of j**6/50 - 3*j**5/50 + 58*j. Let c(d) = 0. What is d?
0, 2
Let r(v) be the third derivative of -v**6/1200 + v**5/200 - v**4/80 + v**3/60 - 39*v**2. Solve r(p) = 0.
1
Factor 0 - 3*i**3 - 9 - 21*i + 15*i**2 + 18.
-3*(i - 3)*(i - 1)**2
Let j be (6 + -5)/(1/3). Solve 0 - 3/2*s - 3/2*s**4 + 3/2*s**j + 3/2*s**2 = 0 for s.
-1, 0, 1
Suppose 298*z - 295*z - 6 = 0. Factor -2/7 + 0*v + 2/7*v**z.
2*(v - 1)*(v + 1)/7
Let d be 2/(0 - (0 - -2)). Let v be d/5 - 21/(-5). Let 6*s**2 + 0*s**5 - 6*s**v + 4*s**5 - 2*s - 3*s**3 + s**3 = 0. Calculate s.
-1, 0, 1/2, 1
Find z such that 15*z**3 + 0*z + 0 - 45*z**2 - 5/4*z**4 = 0.
0, 6
Let o(l) be the second derivative of -3*l**2 - 1/14*l**7 + 7/2*l**3 - 3*l - 2*l**4 + 0 + 1/5*l**6 + 3/10*l**5. Solve o(x) = 0 for x.
-2, 1
Let x(c) be the second derivative of -c**6/15 + c**4/3 - c**2 + 23*c. Factor x(p).
-2*(p - 1)**2*(p + 1)**2
Let a be (0 - (-4 + 4))/(-2 + 4). Factor a*d + 0 - 1/6*d**2.
-d**2/6
Factor a - 1/3 + 1/3*a**3 - a**2.
(a - 1)**3/3
Let o(l) be the second derivative of -1/66*l**4 + 2/33*l**3 + 0*l**2 + 0 - l. Find c, given that o(c) = 0.
0, 2
Let u(c) be the first derivative of -c**3 + 12*c**2 - 21*c + 27. Factor u(l).
-3*(l - 7)*(l - 1)
Let 4*i**4 - 3*i**2 - 6*i**4 + 3*i**3 + i**4 + i = 0. What is i?
0, 1
Let n(z) = z**2 - 2 - 25*z + 1 + 24*z + 2. Let o(q) = 3*q**2 - 6*q + 4. Let h(j) = j + 1. Let v(b) = h(b) + o(b). Let k(x) = 5*n(x) - v(x). Factor k(t).
2*t**2
Let s = 196 + -191. Let 22/7*c**4 + 2/7*c**2 + 0 + 10/7*c**s + 2*c**3 + 0*c = 0. Calculate c.
-1, -1/5, 0
Suppose 2*l = 4*p + 12, 0 = -2*p + 5*p. Suppose 5*c - 14 = l. Find u such that 10*u**2 + 4*u - 2*u**4 - 18*u**3 - 7*u**4 - u**c + 14*u**5 = 0.
-1, -2/7, 0, 1
Suppose 0 = 2*p + 7*p - 18. Let z(d) be the first derivative of 2/9*d**3 + 6*d + 2 - 2*d**p. Factor z(n).
2*(n - 3)**2/3
Let s be (-95)/(-5) - (1 - 4). Find t such that s*t + 4*t**3 - 3 + t**3 - 32*t**2 + 9*t**3 - 1 = 0.
2/7, 1
Let u(b) be the second derivative of b**5/25 - b**4 + 10*b**3 - 50*b**2 - 4*b. Factor u(p).
4*(p - 5)**3/5
Let v(a) = 6*a + 9. Let k be v(-7). Let s be (-6)/k + (-56)/(-55). Factor 0 + 6/5*c**3 + 2/5*c - 2/5*c**4 - s*c**2.
-2*c*(c - 1)**3/5
Let h be (-69)/(-21) + (-4)/14. Suppose 5*t + 0*t = 15. Factor q**4 + 1 + 0*q**t - 2 - 2*q**h + 2*q + 0*q**3.
(q - 1)**3*(q + 1)
Let q = 953/10 - 95. Let k(m) be the second derivative of 2/3*m**4 + 2*m - q*m**5 - 1/3*m**3 + 0 + 0*m**2. Factor k(t).
-2*t*(t - 1)*(3*t - 1)
Let r(n) = 6*n**2 - 24*n + 29. Let i(o) = -9*o**2 + 36*o - 44. Let p(x) = 5*i(x) + 8*r(x). Solve p(s) = 0 for s.
2
Let u(h) be the second derivative of -h**5/120 + h**4/72 - 16*h. Factor u(t).
-t**2*(t - 1)/6
Let w(j) = j**2 + 5*j - 11. Let c be w(-6). Let p be (3 - 0)*c/(-45). Factor 1/3*h**3 + 0 + 1/3*h**2 - 1/3*h - p*h**4.
-h*(h - 1)**2*(h + 1)/3
Let i be (-1 + 2 - 1) + 0. Let m = 3 + i. Solve -4*s + 4*s - s + 2*s - s**m = 0 for s.
-1, 0, 