 = 0.
1, 2
Let h(a) be the second derivative of -3/170*a**5 + 0 + 4/51*a**3 - 1/357*a**7 + 0*a**2 + 4/255*a**6 - 22*a - 2/51*a**4. Suppose h(w) = 0. Calculate w.
-1, 0, 1, 2
Let -13*j + 507*j**2 - 7*j + 6*j**4 + 22*j**3 - 513*j**2 - 2*j**5 = 0. Calculate j.
-2, -1, 0, 1, 5
Let q(u) be the second derivative of -u**7/1155 + u**6/220 + 3*u**2/2 + 7*u. Let x(h) be the first derivative of q(h). Factor x(z).
-2*z**3*(z - 3)/11
Let h = 120/101 + -196/505. Let -h - 12/5*y**2 + 4/5*y**3 + 12/5*y = 0. Calculate y.
1
Factor 18*u - 3*u**4 + 6*u**3 - 49*u + 27*u**2 - 23*u.
-3*u*(u - 3)*(u - 2)*(u + 3)
Suppose 37*p - 178 + 30 = 0. Let h(g) be the first derivative of -1/12*g**p - 1/6*g**2 + 2/9*g**3 + 0*g + 5. Solve h(k) = 0.
0, 1
Let w = 140773/6 + -23462. Determine s, given that 1/3*s - 1/6*s**2 - w = 0.
1
Suppose -2*r + 2 = -2. Suppose -3*v - 3*k = 0, -4*v + 0*k + 6 = 2*k. Find h, given that 7*h + 6 + v + h**r - h = 0.
-3
Let u(z) = -2*z**3 - 5*z**2 - 13*z - 4. Let k = 90 + -48. Let o(r) = -4*r**2 - k*r**2 - 57*r - 18*r**3 - 36 - 59*r. Let b(d) = -6*o(d) + 52*u(d). Factor b(s).
4*(s + 1)**2*(s + 2)
Let z be (7 + -4)/42*(18 - (-8)/4). Find t, given that z*t**2 + 0 - 2/7*t**3 + 0*t = 0.
0, 5
Let c(r) be the third derivative of r**5/240 - 5*r**4/32 + 60*r**2 - 1. Factor c(a).
a*(a - 15)/4
Suppose 0 = 11*i + 8*i. Let f(m) be the third derivative of 1/270*m**5 + i*m**4 - 4/27*m**3 + m**2 + 0 + 0*m. Factor f(p).
2*(p - 2)*(p + 2)/9
Let u(z) be the third derivative of z**8/67200 - z**7/8400 + z**6/2400 - z**5/1200 + z**4/4 - 14*z**2. Let t(v) be the second derivative of u(v). Factor t(w).
(w - 1)**3/10
Let s(l) = 21*l**2 - 351*l - 15. Let x(y) = -3*y**2 + 50*y + 2. Let r(g) = -2*s(g) - 15*x(g). Factor r(o).
3*o*(o - 16)
Suppose -5*g - 29 = -3*n, 30*n - 25 = 27*n + 4*g. Let j(s) be the second derivative of 8*s - 4/15*s**n + 0 + 1/15*s**4 + 2/5*s**2. Let j(r) = 0. What is r?
1
Let r = -5/16 + 57/80. Suppose 9 = -4*t - 3*u, 7 = -t - 4*u - 18. Factor r*v**2 + 0*v - 2/5*v**4 + 0*v**t + 0.
-2*v**2*(v - 1)*(v + 1)/5
Let g(q) be the second derivative of q**4/8 - 45*q**3 + 6075*q**2 + 126*q. What is w in g(w) = 0?
90
Let v = -11699/10 - -1171. Let c = 27/10 - v. Solve -c*b + 0 - 2/5*b**2 = 0 for b.
-4, 0
Solve 10/3*q + 13*q**2 + 7/3*q**5 + 0 + 11*q**4 + 55/3*q**3 = 0 for q.
-2, -1, -5/7, 0
Suppose 237 = -7*y + 265. Let u(r) be the third derivative of 0 - 1/60*r**5 - 1/3*r**3 + 0*r - 1/8*r**y - 2*r**2. Suppose u(n) = 0. Calculate n.
-2, -1
Let x(m) = -74*m - 5994. Let d be x(-81). Factor -18/5*z**5 + 2*z**3 - 10*z**2 + 42/5*z**4 + d*z + 0.
-2*z**2*(z + 1)*(3*z - 5)**2/5
Suppose -2*b - 210 = -5*l, 4*b + 410 = 7*l - 2*l. Let r be 40/b - (-1 - 0). What is p in -1/5*p**4 + 0 - 1/5*p - 3/5*p**2 - r*p**3 = 0?
-1, 0
Suppose 5*n + 1 = 2*z - 28, -z = -5*n - 27. Let 2/7*m**z + 44/7*m + 242/7 = 0. What is m?
-11
Let f(v) be the second derivative of -1/10*v**4 - 10*v + 0 + 0*v**2 - 2/15*v**3 - 1/50*v**5. What is s in f(s) = 0?
-2, -1, 0
Let f(a) be the third derivative of -3/280*a**6 + 0*a**3 + 3/140*a**5 - 9*a**2 + 0*a + 0 + 1/490*a**7 - 1/56*a**4. Solve f(p) = 0.
0, 1
Let o(d) be the first derivative of -9*d**6/2 - 147*d**5/5 - 249*d**4/4 - 55*d**3 - 18*d**2 - 90. Find n such that o(n) = 0.
-3, -1, -4/9, 0
Let i(s) = 6*s**3 + 9*s**2 + 3*s - 3. Suppose -5 = -5*n + 5. Let y(c) = 4*c + 11*c**n + 6*c**2 + 11*c**3 - 5 + 2*c. Let t(a) = 5*i(a) - 3*y(a). Factor t(k).
-3*k*(k + 1)**2
Suppose 21*j = 25*j - 12. Find p, given that 0*p**j - 4*p**5 + 8*p**2 - 4*p**4 + 2 - 4*p - 6 + 8*p**3 + 0*p**5 = 0.
-1, 1
Let a(l) be the second derivative of 0*l**3 + 0 - 1/90*l**6 - 1/18*l**4 - 28*l + 1/18*l**2 + 2/45*l**5. Factor a(m).
-(m - 1)**3*(3*m + 1)/9
Let c be 6/(-9)*1/(-2). Let y = -2/9215 + 9221/27645. Factor c*x - y*x**2 + 2/3.
-(x - 2)*(x + 1)/3
Suppose -2549 = -6*b - 2531. Let y(x) be the third derivative of -1/4*x**4 + 0*x - 1/2*x**b + 0 - 1/20*x**5 + 6*x**2. Solve y(j) = 0 for j.
-1
Let o = -3246/371 - -494/53. Factor 4/7*u - o*u**4 + 10/7*u**2 - 1/7*u**5 - 8/7 - 1/7*u**3.
-(u - 1)**2*(u + 2)**3/7
Let x(y) be the second derivative of y**7/1260 - y**6/90 + y**5/15 - 2*y**4/9 - 5*y**3/3 - 13*y. Let i(g) be the second derivative of x(g). Factor i(s).
2*(s - 2)**3/3
Factor 304/3*f + 4/3*f**2 + 5776/3.
4*(f + 38)**2/3
Suppose 410 = 34*q + 696 - 422. Suppose 2*p**2 + 4/5*p - 2*p**q + 0 - 4/5*p**3 = 0. Calculate p.
-1, -2/5, 0, 1
Let h(n) be the second derivative of 4*n + 2/5*n**5 + 1/15*n**6 + 2/3*n**4 + 0 + 0*n**2 + 0*n**3. Factor h(d).
2*d**2*(d + 2)**2
Let x = 9734 - 2598982/267. Let s = x - -2419/1068. Factor 0 + 3*m**3 - 3/4*m + s*m**2.
3*m*(m + 1)*(4*m - 1)/4
Let o(t) = t**3 - t**2 + t. Let j be 88/20 - (-4)/(-10). Let x(w) = -10*w**3 - j*w + 5*w**2 + 2*w**2 + 9*w**4 - 2*w**2. Let h(u) = -4*o(u) - x(u). Factor h(b).
-b**2*(3*b - 1)**2
Let f(o) be the third derivative of -o**8/1680 + o**7/350 + 7*o**6/150 + 188*o**2. Factor f(w).
-w**3*(w - 7)*(w + 4)/5
Let h(s) be the third derivative of 0 - 1/180*s**6 + 1/6*s**5 + 125/9*s**3 - 4*s**2 - 25/12*s**4 + 0*s. Solve h(v) = 0 for v.
5
Factor 162/11*a**2 - 6/11*a - 162/11 + 6/11*a**3.
6*(a - 1)*(a + 1)*(a + 27)/11
Let d(i) = -8*i**5 - 19*i**4 - 16*i**3 + i**2 + 3*i - 3. Let z(w) = -w**4 - 2*w**3 + w**2 + w - 1. Let o(l) = -d(l) + 3*z(l). Factor o(f).
2*f**2*(f + 1)*(2*f + 1)**2
Factor 4/3*s - 1/3*s**4 + 0 - 1/3*s**3 + 4/3*s**2.
-s*(s - 2)*(s + 1)*(s + 2)/3
Let x(r) be the second derivative of -r**5/60 + 47*r**4/36 + 351*r. Factor x(n).
-n**2*(n - 47)/3
Let b(g) = -5*g**2 + 95*g - 5. Let y(i) = -i**2 - i + 1. Let k(l) = 2*l**2 + 52*l - 7. Let d(w) = k(w) + 4*y(w). Let o(u) = 3*b(u) - 5*d(u). Factor o(j).
-5*j*(j - 9)
Suppose 56 = 2*q + q + 4*v, 5 = -5*v. Let -26 + 7 - 5*j - 15*j**3 + 14 + q*j**2 + 5*j**2 = 0. What is j?
-1/3, 1
Let p(t) be the second derivative of 1/45*t**6 - 33*t + 1/6*t**5 + 4/9*t**3 + 0 + 0*t**2 + 4/9*t**4. Factor p(h).
2*h*(h + 1)*(h + 2)**2/3
Let j(p) be the second derivative of p**7/42 - 41*p**6/30 + 273*p**5/10 - 539*p**4/3 - 1372*p**3/3 + 7*p - 18. Factor j(z).
z*(z - 14)**3*(z + 1)
Let p(j) be the third derivative of -5*j**2 - 1/8*j**4 + 1/160*j**6 - 1/120*j**5 + 1/3*j**3 + 0*j + 0. Factor p(b).
(b - 2)*(b + 2)*(3*b - 2)/4
Let q(m) be the first derivative of -m**5/30 + m**4/12 - 31*m**2/2 - 29. Let j(t) be the second derivative of q(t). Factor j(r).
-2*r*(r - 1)
Let g(v) be the first derivative of 1/5*v + 1/20*v**2 + 16 - 1/30*v**3. Factor g(r).
-(r - 2)*(r + 1)/10
Let z be (-306)/(-1326) - (-1)/221. Factor 6/17*r + 2/17*r**2 + z.
2*(r + 1)*(r + 2)/17
Let g(n) be the second derivative of -n**6/90 - 14*n**5/15 - 98*n**4/3 + 7*n**3/6 + 3*n**2/2 + 4*n - 2. Let w(o) be the second derivative of g(o). Factor w(r).
-4*(r + 14)**2
Suppose -2*m + f = 2*m + 448, -547 = 5*m + 2*f. Let w = m + 113. Suppose 13/7*s**w + 9/7*s**4 - 2/7 - 3*s**3 + 1/7*s = 0. What is s?
-1/3, 2/3, 1
Let r(s) be the third derivative of 2*s + 14*s**2 + 0 - 1/273*s**7 + 1/390*s**6 + 0*s**3 - 1/78*s**4 + 1/78*s**5. Solve r(h) = 0.
-1, 0, 2/5, 1
Let x(s) be the third derivative of -s**7/280 + s**6/24 - s**5/5 + s**4/2 + 7*s**3/3 - 9*s**2. Let m(u) be the first derivative of x(u). Factor m(h).
-3*(h - 2)**2*(h - 1)
Let i(d) be the second derivative of 1/2*d**4 - 3/10*d**6 - 25*d + 0 + 3/2*d**2 + 1/14*d**7 - 3/2*d**3 + 3/10*d**5. Let i(c) = 0. Calculate c.
-1, 1
Let h(p) = -3*p**3 + p**2 - 1. Let y be h(1). Let w be 3 + 2 + 1 + y. Determine a so that -4*a**4 - 12*a**w + 128*a + 47*a**2 + 44*a**3 - 64 - 143*a**2 = 0.
2
Let w(v) = 2*v**3 + 30*v**2 + 71*v + 251. Let c be w(-13). Factor -2/3*a - 1 + 1/9*a**c + 2/3*a**3 + 8/9*a**2.
(a - 1)*(a + 1)*(a + 3)**2/9
Let o(l) be the third derivative of l**6/120 + l**5/20 + l**4/8 + 3*l**3 - 9*l**2. Let b(r) be the first derivative of o(r). Factor b(d).
3*(d + 1)**2
Let j(f) be the third derivative of 0*f + 1/24*f**4 + 2/105*f**7 + 1/30*f**5 - 7/120*f**6 + 2*f**2 + 0 + 0*f**3. Factor j(s).
s*(s - 1)**2*(4*s + 1)
Let i = 31 - 29. Suppose -8 = -5*r - 2*y + 17, 10 = 2*r + i*y. What is t in -9*t**4 - 102*t - t**4 + 10*t**2 + r*t**5 + 97*t = 0?
-1, 0, 1
Let p(n) be the third derivative of -n**9/13608 + n**8/3780 - n**6/810 + n**5/540 + 7*n**3 + 14*n**2. Let h(c) be the first derivative of p(c). Factor h(i).
-2*i*(i - 1)**3*(i + 