 x(c) be the first derivative of 9*c**5/5 - 15*c**4/2 + 12*c**3 - 9*c**2 + 3*c - 1. Factor x(p).
3*(p - 1)**3*(3*p - 1)
Let v(x) be the first derivative of -8*x**3/9 - 2*x**2/3 - x/6 - 37. Factor v(r).
-(4*r + 1)**2/6
Let u(r) be the second derivative of 2*r**5/5 - r**3 - r**2 + 6*r. Factor u(a).
2*(a - 1)*(2*a + 1)**2
Let f be ((-22)/55)/(4/(-5)). Factor 5/4*j**2 + 1/4*j + f*j**5 + 7/4*j**4 + 0 + 9/4*j**3.
j*(j + 1)**3*(2*j + 1)/4
Let v(y) be the first derivative of y**9/144 - y**8/112 - y**7/140 + y**3 - 4. Let z(c) be the third derivative of v(c). Factor z(k).
3*k**3*(k - 1)*(7*k + 2)
What is s in -2/7*s**2 + 4/7*s - 2/7 = 0?
1
Let z = -182 + 5461/30. Let t(y) be the second derivative of -1/84*y**7 - 3*y - 1/12*y**4 + z*y**6 + 0*y**5 + 0 + 0*y**2 + 1/12*y**3. Solve t(f) = 0.
-1, 0, 1
Let p = 16 + -13. Let s(i) be the first derivative of 1/9*i**p - 1 + 1/6*i**2 + 0*i. Factor s(x).
x*(x + 1)/3
Let x be 1/(-6) - 2/(-4). Let c = 1/6 + x. Factor o**3 + c*o**4 + 1/2*o**2 + 0*o + 0.
o**2*(o + 1)**2/2
Let r = 10729/31310 - 21/62. Let d = r + 996/3535. Determine k so that -d*k**2 + 0*k + 2/7*k**3 + 0 = 0.
0, 1
Let g(o) be the third derivative of -o**10/756000 + o**9/75600 - o**8/25200 - o**5/20 - 3*o**2. Let t(x) be the third derivative of g(x). Solve t(d) = 0.
0, 2
Let q(c) = 101*c - 404. Let u be q(4). Factor -2/5*d**4 + 2/5*d**2 + u*d**3 + 0 + 0*d.
-2*d**2*(d - 1)*(d + 1)/5
Factor -8/11*k**3 - 4/11*k + 2/11*k**4 + 10/11*k**2 + 0.
2*k*(k - 2)*(k - 1)**2/11
Factor 0*w - 1/6*w**3 + 1/3*w**4 + 0 + 1/6*w**5 - 1/3*w**2.
w**2*(w - 1)*(w + 1)*(w + 2)/6
Let -7*z**3 + 12 - 3*z**3 - 5277*z + 5263*z - 36*z**2 = 0. What is z?
-3, -1, 2/5
Let v(x) be the second derivative of x**6/150 + 3*x**5/100 + x**4/60 - x**3/10 - x**2/5 - 5*x. Factor v(c).
(c - 1)*(c + 1)**2*(c + 2)/5
Suppose 216*q = 221*q - 10. Factor 0 + 2*v**4 - q*v**2 - 1/2*v**3 + 1/2*v.
v*(v - 1)*(v + 1)*(4*v - 1)/2
Let x(j) be the first derivative of j**4/4 + 2*j**3/3 + 3*j**2/2 + j + 2. Let a(g) = -g**2. Suppose 0 = -3*p + 6*p - 3. Let c(q) = p*x(q) - a(q). Factor c(u).
(u + 1)**3
Let t be (-1)/(-2*(-3)/(-18)). Suppose u + 3*u - t*u - 3*u - 9*u**2 - 12*u**3 - 5*u**4 = 0. What is u?
-1, -2/5, 0
Let h(k) be the first derivative of 1 + 0*k + 1/10*k**4 + 3/5*k**2 + 8/15*k**3. Suppose h(u) = 0. Calculate u.
-3, -1, 0
Let l(c) = c**5 + 2*c**4 - 2*c**3 - 2. Let i(m) = -3*m**5 - 4*m**4 + 5*m**3 + 5. Let y(f) = 2*i(f) + 5*l(f). Let y(d) = 0. What is d?
0, 2
Let f(s) = -15*s**3 + 15*s**2 + 25*s. Let r(g) = 7*g**3 - 7*g**2 - 12*g. Let w(d) = -2*f(d) - 5*r(d). Factor w(x).
-5*x*(x - 2)*(x + 1)
Let c(j) be the first derivative of 3/5*j + 0*j**3 - 3/5*j**2 + 3/10*j**4 - 3/25*j**5 - 1. Let c(f) = 0. Calculate f.
-1, 1
Let u(n) be the second derivative of 4*n**7/21 + 2*n**6/5 - n**5/5 - n**4 - 2*n**3/3 - 10*n. Find z such that u(z) = 0.
-1, -1/2, 0, 1
Let y(j) be the third derivative of -3*j**8/7840 + j**7/4410 + j**6/280 - j**5/210 - j**4/6 - 2*j**2. Let g(r) be the second derivative of y(r). Factor g(s).
-2*(s - 1)*(s + 1)*(9*s - 2)/7
Let g(v) be the second derivative of -v**6/30 - 9*v**5/5 - 81*v**4/2 - 486*v**3 - 6561*v**2/2 + 13*v. Determine a, given that g(a) = 0.
-9
Let j = 318/7 + -1265/28. Factor 1/2*h**3 - j + 1/4*h**4 - 1/2*h + 0*h**2.
(h - 1)*(h + 1)**3/4
Let i(y) be the third derivative of y**6/180 + y**5/60 - y**4/6 - y**3 + 5*y**2. Let s(o) be the first derivative of i(o). Solve s(z) = 0 for z.
-2, 1
Solve -3*c**3 + 9*c - 17 + 6 + 5 = 0 for c.
-2, 1
Let n(q) be the first derivative of -2*q**2 - 2*q - 2/3*q**3 - 1. Determine v so that n(v) = 0.
-1
Let y(w) be the third derivative of 1/42*w**7 - 1/15*w**6 + 0*w + 1/15*w**5 + 0 + 0*w**3 - 1/336*w**8 + 0*w**4 + 7*w**2. Suppose y(t) = 0. Calculate t.
0, 1, 2
Suppose 2*r = 5*r - 6. Determine q so that q**4 - 2 + 4*q + r*q**2 + 3 + 4*q**2 + 4*q**3 = 0.
-1
Let o(g) be the second derivative of -g**8/1008 + g**6/180 - g**4/72 - 2*g**2 + 9*g. Let q(l) be the first derivative of o(l). Suppose q(v) = 0. What is v?
-1, 0, 1
Suppose 5*x = 23 + 2. Let g(z) be the second derivative of 1/35*z**7 + 0*z**4 - 2*z + 0 + 1/15*z**6 + 0*z**2 + 0*z**3 + 1/25*z**x. Find i such that g(i) = 0.
-1, -2/3, 0
Let i(q) be the third derivative of q**6/660 - q**5/66 + q**4/33 + 6*q**2. Solve i(o) = 0 for o.
0, 1, 4
Let c(b) = 2*b**4 + 7*b**3 - 7*b**2 - 7*b. Let i(j) = -3*j**4 - 10*j**3 + 10*j**2 + 10*j. Let h(d) = 7*c(d) + 5*i(d). Let h(r) = 0. What is r?
-1, 0, 1
Let l(h) = -h**5 + 5*h**4 + 3*h**3 - 5*h**2 + 4*h + 3. Let j(b) = -b**5 + 6*b**4 + 4*b**3 - 6*b**2 + 5*b + 4. Let s(t) = -3*j(t) + 4*l(t). Solve s(a) = 0.
-1, 0, 1
Let z = 1 + 1. Let p(y) be the first derivative of -4/9*y**3 - 1/3*y**5 + 25/18*y**6 + 0*y + 0*y**z - 4/3*y**4 - 1. Factor p(n).
n**2*(n - 1)*(5*n + 2)**2/3
What is y in 2/5 - 1/5*y**3 - y + 4/5*y**2 = 0?
1, 2
Suppose 0 = -l + 167 - 31. Let r be (2/8)/(153/l). Factor -2/9*s + 0 - r*s**2.
-2*s*(s + 1)/9
Let q be 26/7 + (-5)/(35/(-2)). Let k(p) be the second derivative of -4*p + 0 + 0*p**3 + 0*p**2 - 1/30*p**q. Determine o so that k(o) = 0.
0
Find d such that 4/5*d - 2*d**2 + 0 - 6/5*d**5 + 2/5*d**3 + 2*d**4 = 0.
-1, 0, 2/3, 1
Let g be 16/7 + 12/(-42). Let b be (-1 - (-6)/g) + 1. Factor 38*q**2 + 8 + 4*q**5 + 12*q - 4*q**5 + q**5 + 25*q**b + 16*q + 8*q**4.
(q + 1)**2*(q + 2)**3
Let n(x) be the third derivative of -x**8/2240 + x**7/240 - x**6/120 + 7*x**5/60 + x**2. Let g(b) be the third derivative of n(b). Solve g(l) = 0.
1/3, 2
Let z(b) be the second derivative of b**5/70 - b**4/14 + 2*b**3/21 + 7*b. Suppose z(l) = 0. Calculate l.
0, 1, 2
Let 0*x - 6/5*x**4 + 2/5*x**5 + 0 + 0*x**2 + 4/5*x**3 = 0. Calculate x.
0, 1, 2
Suppose -5*f + 2*p + 12 = 0, 0 = 4*p + 1 + 3. Factor 18*x - 2*x**2 + 7 + 20 + 4*x**f + x**2.
3*(x + 3)**2
Let u(d) be the third derivative of 1/24*d**4 + 5*d**2 + 0*d - 1/180*d**5 + 0 - 1/9*d**3. Factor u(t).
-(t - 2)*(t - 1)/3
Suppose -5*k = 0, 0 = 5*p - 0*k - 3*k - 90. Suppose 5*c - 2*a - p = 0, -4*c + 5*a + 5 = -6. Determine s so that 0*s - 3/5*s**2 - 3/5*s**c - 6/5*s**3 + 0 = 0.
-1, 0
Let u = -644 - -647. Factor -3/2*o + 3/2*o**u + 3*o**2 - 3.
3*(o - 1)*(o + 1)*(o + 2)/2
Find o such that 6/7*o**5 + 0*o**3 + 0*o + 0 - 2*o**4 + 8/7*o**2 = 0.
-2/3, 0, 1, 2
Let f(s) = -2*s**4 - 3*s**3 - 3*s**2 - 5*s + 3. Let a(j) = j**4 + j**3 + j - 1. Let p = -20 + 22. Let w(o) = p*f(o) + 6*a(o). Factor w(x).
2*x*(x - 2)*(x + 1)**2
Let a = -9 + 18. Let r be (a - 9)/(0 + 2). Determine y so that -1/5*y**2 + r*y + 1/5 = 0.
-1, 1
Determine b, given that 3/4*b - 1/2 - 1/4*b**2 = 0.
1, 2
Let t(o) = -o**2 - 2. Let h be t(2). Let j be (-24)/(-9) + h/9. Factor -1 + q + j*q**2 - 3 + q.
2*(q - 1)*(q + 2)
Let v be 196/(-35) + 6 - (-16)/10. Solve 0 + 2/9*p - 4/9*p**v = 0.
0, 1/2
Let n(c) be the first derivative of -c**6/40 - 9*c**5/80 - 3*c**4/16 - c**3/8 - 6*c - 3. Let h(w) be the first derivative of n(w). Factor h(l).
-3*l*(l + 1)**3/4
Suppose 4*r - 20 + 0*r - 5*r**2 + 7*r + 9*r = 0. What is r?
2
Let l(n) be the second derivative of -3/2*n**2 + 0 + 0*n**4 - 3/5*n**5 + 2*n + 3/2*n**3. Let l(s) = 0. Calculate s.
-1, 1/2
Suppose 5*i = 2*b - 21, 3*i + 0 + 9 = 3*b. Let t be i/(15/(-6)) + 0. Factor t + g**2 + g - 2*g**2 + 0*g.
-(g - 2)*(g + 1)
Let t = 5 + -2. Suppose 5 = -t*k - 4*w, -3*w = 4*k + 1 + 1. Let f(g) = g**2 - g + 3. Let y(v) = -v + 1. Let x(l) = k*f(l) - 3*y(l). Factor x(n).
n*(n + 2)
Let q(s) be the first derivative of -2*s**3 + 3 - 10*s**2 + 8*s - s**5 + 17/4*s**4. Factor q(k).
-(k - 2)**2*(k + 1)*(5*k - 2)
Suppose -5*h + 3*n + 6 = 0, -h + 3 - 7 = 2*n. Find w such that -1/5*w**3 + 1/5*w**4 + h + 1/5*w - 1/5*w**2 = 0.
-1, 0, 1
Find g, given that -384*g**3 + g**4 + 387*g**3 - 5*g**2 + 0*g + 2*g - g**5 = 0.
-2, 0, 1
Let v(g) be the third derivative of -g**5/150 + g**4/15 - g**3/5 - 11*g**2. Solve v(n) = 0 for n.
1, 3
Let j(z) be the third derivative of 3*z**8/560 + 2*z**7/175 - z**6/200 - z**5/50 + 3*z**2. Factor j(q).
3*q**2*(q + 1)**2*(3*q - 2)/5
Let v be 2/12*7/(14/3). Find g such that -1/2*g + v + 1/4*g**2 = 0.
1
Suppose 0 = -4*g - 0*g + 96. Factor -50*z**3 - 44*z**2 - 48*z**2 - g*z + 2*z**2 - 8 - 24*z.
-2*(z + 1)*(5*z + 2)**2
Let d(n) = -23*n**2 + 92*n - 22. Let t(q) = -47*q**2 + 185*q - 43. Let r(y) = 5*d(y) - 2*t(y). Solve r(a) = 0 for a.
2/7, 4
Let b = -382 + 27