derivative of -w**4/72 - w**3/12 - w**2/6 + 22*w. Solve x(u) = 0 for u.
-2, -1
Let a(r) be the first derivative of -r**7/315 + r**5/90 - r**2 + 3. Let s(t) be the second derivative of a(t). Let s(m) = 0. Calculate m.
-1, 0, 1
Let p be 2/((-2)/4*2). Let y = p + 4. Factor 0*r + y*r**5 - r - r**5 + 2*r**2 - 2*r**4.
r*(r - 1)**3*(r + 1)
Let f(z) be the second derivative of z**5/120 + z**4/48 - 3*z**2/2 - z. Let s(l) be the first derivative of f(l). Suppose s(b) = 0. Calculate b.
-1, 0
Let s(n) be the first derivative of 6/7*n**2 - 2/21*n**3 - 7 - 18/7*n. Factor s(y).
-2*(y - 3)**2/7
Let i be -2 - (3 - (-32)/(-6)). Suppose i*v**3 + 0*v + 4/3 - v**2 = 0. What is v?
-1, 2
Let u(b) = b**2 - 3*b. Let d be u(4). Suppose 2*t**d - 2*t**4 + 4*t + 2*t**4 - 4 - 4*t**3 + 2 = 0. Calculate t.
-1, 1
Let a(b) = -3*b**5 - 6*b**4 - 3*b**3 + 12*b**2 + 3*b + 3. Let o(z) = 3*z**5 + 7*z**4 + 2*z**3 - 12*z**2 - 2*z - 2. Let i(d) = -2*a(d) - 3*o(d). Solve i(s) = 0.
-2, 0, 1
Suppose z - 30 = 6*z. Let t(q) = -q - 3. Let c be t(z). Factor c*f + 3/2*f**2 + 0 - 3/2*f**3.
-3*f*(f - 2)*(f + 1)/2
Let t(z) = -3*z + 21. Let y(x) = x - 7. Let q(j) = 2*t(j) + 7*y(j). Let h be q(9). Solve 0 + h*o + 5/2*o**3 + 4*o**2 + 1/2*o**4 = 0 for o.
-2, -1, 0
Let f(u) be the second derivative of u**4/60 - 4*u**3/15 + 3*u - 13. Factor f(k).
k*(k - 8)/5
Suppose -4*m - 5*i = 10 - 41, -2*m - 5*i + 23 = 0. Suppose -s - m = -2*j - 2*s, 5*j - 10 = 2*s. Factor 8*x**j - 2*x**5 - 8*x**2 - 2*x**4.
-2*x**4*(x + 1)
Let f = 261 - 261. Solve -48/5*c**3 + 0*c + f - 21/5*c**4 - 12/5*c**2 = 0.
-2, -2/7, 0
Suppose 3 = 2*y + 1. Suppose -c + y = -1. Let -4/3 - 2/3*z**2 - c*z = 0. Calculate z.
-2, -1
Let r(o) be the third derivative of 0*o + 0*o**4 + 0*o**5 + 0*o**7 + 0*o**3 + 0 - 1/600*o**6 - o**2 + 1/1680*o**8. Determine d so that r(d) = 0.
-1, 0, 1
Let l = 21 + -19. Let t(s) be the third derivative of 4/21*s**3 + 0*s + 0 + 1/210*s**5 - 2*s**l + 1/21*s**4. Factor t(r).
2*(r + 2)**2/7
Let h(s) be the third derivative of -s**5/90 - s**4/36 - s**3/36 + 6*s**2. Factor h(f).
-(2*f + 1)**2/6
Let i be 39/(-52) + 21/(-4) - -8. Factor 5/6*c**3 + 0 + 1/3*c**i + 0*c + 1/2*c**4.
c**2*(c + 1)*(3*c + 2)/6
Let l(y) be the first derivative of 6 + 1/12*y**4 - 1/30*y**5 - 1/6*y**2 + 1/6*y + 0*y**3. Factor l(v).
-(v - 1)**3*(v + 1)/6
Let q(y) be the first derivative of -y**2 - 2/3*y**3 + 2 + 4*y. Factor q(b).
-2*(b - 1)*(b + 2)
Let w(m) be the first derivative of -196*m**3 + 56*m**2 - 16*m/3 + 15. Suppose w(v) = 0. What is v?
2/21
Let r(s) = -5*s**5 + 24*s**4 - 61*s**3 + 36*s**2 + 6*s. Let a(l) = -15*l**5 + 73*l**4 - 182*l**3 + 107*l**2 + 17*l. Let z(i) = -6*a(i) + 17*r(i). Factor z(t).
5*t**2*(t - 3)*(t - 2)*(t - 1)
Let a = 13 - 10. Find x such that -6*x**2 - 3/4*x**5 - 7/2*x**4 - 13/2*x**a - 11/4*x - 1/2 = 0.
-1, -2/3
Let b(x) = 13*x**5 - 43*x**4 + 47*x**3 + 7*x**2 - 7. Let f(d) = 4*d**5 - 14*d**4 + 16*d**3 + 2*d**2 - 2. Let s(m) = -2*b(m) + 7*f(m). Find a such that s(a) = 0.
0, 3
Let d(t) be the third derivative of t**6/30 - t**5/15 - t**4/3 + 4*t**2. Suppose d(o) = 0. Calculate o.
-1, 0, 2
Let c(h) be the third derivative of 3*h**2 + 1/60*h**6 + 0 + 1/20*h**5 - 2/3*h**3 - 1/210*h**7 + 0*h - 1/6*h**4. Determine l so that c(l) = 0.
-1, 2
Let p = 2981/5 - 596. Suppose 0 + p*f**4 + 0*f**2 + 1/5*f**3 + 0*f = 0. What is f?
-1, 0
Solve 244 - 244 + 28*y**4 + 60*y**3 + 4*y**5 + 36*y**2 = 0 for y.
-3, -1, 0
Let h(j) be the first derivative of -5*j**3/3 + 30*j**2 - 180*j + 20. Find t, given that h(t) = 0.
6
Let t(f) be the first derivative of -f**4 - 4*f**3/3 + 2*f**2 + 4*f + 4. Factor t(v).
-4*(v - 1)*(v + 1)**2
Suppose 2/9*l**3 - 10/9*l**2 + 0 + 8/9*l = 0. What is l?
0, 1, 4
Let l(f) = -2*f**3 - 2*f**2 + 10*f. Let h(i) = 6*i**3 + 6*i**2 - 29*i. Let q(o) = 6*h(o) + 17*l(o). Solve q(y) = 0 for y.
-2, 0, 1
Let i(m) = m**3 + 64*m**2 + 240*m + 320. Let c(u) = 65*u**2 + 240*u + 320. Let f(z) = -4*c(z) + 5*i(z). Find l, given that f(l) = 0.
-4
Let v(p) be the third derivative of -p**8/448 - p**7/70 - 3*p**6/80 - p**5/20 - p**4/32 - 31*p**2. Suppose v(f) = 0. What is f?
-1, 0
Let h = 68 + -45. Factor 2*q**4 + h*q**3 - 16*q**2 + q**4 - 7*q**4 - 7*q**3.
-4*q**2*(q - 2)**2
Let v(m) be the third derivative of 1/105*m**5 + 0*m + 0*m**3 + 1/420*m**6 + 0 - 1/735*m**7 + 0*m**4 - m**2. Factor v(k).
-2*k**2*(k - 2)*(k + 1)/7
Let p(l) be the first derivative of -l**3/3 - 3*l**2 - 15. Find n such that p(n) = 0.
-6, 0
Let c be (-10)/(-4)*(-234)/(-65). Suppose -3*m = -0 - c. Let 0*f**4 + 0*f**2 + 0 + 2/7*f**5 - 4/7*f**m + 2/7*f = 0. Calculate f.
-1, 0, 1
Let h(q) be the third derivative of q**7/105 - q**6/10 + 2*q**5/5 - 5*q**4/6 + q**3 - 26*q**2. Factor h(m).
2*(m - 3)*(m - 1)**3
Let p(f) be the second derivative of -f**4/3 + 2*f**3 - 4*f**2 + 18*f. Factor p(k).
-4*(k - 2)*(k - 1)
Let j(q) be the second derivative of -q**6/180 - q**5/30 + q**3/3 + 3*q. Let t(n) be the second derivative of j(n). Factor t(s).
-2*s*(s + 2)
Suppose 3*q - 12 + 6 = 0. Determine x so that -3*x**2 - 3*x**4 - 2*x**q - x**2 - 9*x**3 = 0.
-2, -1, 0
Let c(z) = 19*z**4 + 44*z**3 + 30*z**2 - 5. Let j(q) = -q**4 - q**3. Let m(v) = c(v) + 4*j(v). Factor m(l).
5*(l + 1)**3*(3*l - 1)
Let j(f) be the first derivative of -f + 0*f**3 + f**2 + 1/5*f**5 + 2 - 1/2*f**4. Determine n, given that j(n) = 0.
-1, 1
Let q be 9 - (10/2 - 0). Let y be (-54)/(-10) + 2/(-5). Factor 2*o**5 - o**y - o**q + 0*o**4 - o**3 + o**2.
o**2*(o - 1)**2*(o + 1)
Factor -4*p**3 - 16/3*p - 8*p**2 + 0 - 2/3*p**4.
-2*p*(p + 2)**3/3
Let j = -22 + 7. Let n be ((-8)/6)/(10/j). Find v such that 2/7 + 2/7*v**n + 4/7*v = 0.
-1
Suppose -42 = -4*m - 2. Factor o**5 - 4*o**4 + 2*o**5 + m*o**3 - 5*o**4 - o**3 - 3*o**2.
3*o**2*(o - 1)**3
Suppose -13*k = -3*k - 30. Let x(i) be the second derivative of 0*i**4 - 3*i - 1/3*i**k + 0 + 1/10*i**5 + 0*i**2. Factor x(j).
2*j*(j - 1)*(j + 1)
Let y(q) be the third derivative of q**10/120960 + q**9/30240 + q**8/26880 + q**4/6 + 3*q**2. Let b(a) be the second derivative of y(a). Factor b(g).
g**3*(g + 1)**2/4
Let t = -47 + 51. Let u(w) be the second derivative of 0*w**2 + 1/12*w**t + 0*w**3 + 2*w + 0. Factor u(q).
q**2
Let f(y) be the second derivative of -3*y**5/20 - 3*y**4/4 - 3*y**3/2 - 3*y**2/2 - 11*y. Factor f(m).
-3*(m + 1)**3
Let j = 1/38 + 67/342. Factor 0 + 0*m**2 - j*m + 2/9*m**3.
2*m*(m - 1)*(m + 1)/9
Let t(v) = 3*v**3 - 60*v**2 + 87*v - 39. Let f(i) = 10*i + 1. Let w be f(-1). Let p(c) = -c**3 + 15*c**2 - 22*c + 10. Let g(a) = w*p(a) - 2*t(a). Factor g(o).
3*(o - 2)**2*(o - 1)
Let a(c) = -c**3 - 6*c**2 - c. Let b be a(-6). Let f(k) = -k**2 + 4*k. Let g(r) = r**2 - 5*r. Let t(w) = b*f(w) + 5*g(w). Let t(d) = 0. What is d?
-1, 0
Let o(r) = 10*r**4 + 20*r**3 - 7*r - 10. Let b(a) = 5*a**4 + 10*a**3 - 4*a - 5. Let z(v) = -13*b(v) + 6*o(v). Find i such that z(i) = 0.
-1, 1
Suppose 2*z - 144 = 4*z. Let k be 5/3*z/(-40). Factor 1/4 - 1/4*o**k + 1/4*o - 1/4*o**2.
-(o - 1)*(o + 1)**2/4
Factor 249*t**5 - 4*t**3 - 2 - 250*t**5 + 32*t - 5*t**4 + t**2 + 18 + 15*t**2.
-(t - 2)*(t + 1)*(t + 2)**3
Let n(v) be the third derivative of v**5/20 + v**4/8 - v**3 - 31*v**2. Suppose n(t) = 0. What is t?
-2, 1
Let z = 51 + -49. Let 1/2*t + 0 - t**z + 1/2*t**3 = 0. What is t?
0, 1
Let y(s) be the first derivative of 45*s**4/16 - 13*s**3/2 + 39*s**2/8 - 3*s/2 + 20. Solve y(n) = 0 for n.
1/3, 2/5, 1
Suppose -8*d + 10 = -3*d - 5*h, -2*d - 3*h = -9. Suppose -2*l**d + 2*l + 2 - 2*l**2 + 0*l + 0*l = 0. Calculate l.
-1, 1
Let l = 9 + -13. Let x(g) = -g**2 + 6*g - 6. Let w(z) = -2*z**2 + 13*z - 13. Let u(a) = l*w(a) + 10*x(a). Suppose u(y) = 0. What is y?
2
Let z be (-1976)/(-1176) + (3 - 4). Let b = -2/147 + z. Let -2/3*w**2 + 0 + 8/3*w**3 + 0*w + b*w**4 - 8/3*w**5 = 0. What is w?
-1, 0, 1/4, 1
Let j = 1/79 - -307/711. Let t(w) be the first derivative of 2 + 1/9*w**2 - 2/9*w**3 + j*w. Determine m so that t(m) = 0.
-2/3, 1
Suppose -1/2*s**4 - 1/6*s**3 + 3/2*s**2 + 3/2*s + 1/3 = 0. What is s?
-1, -1/3, 2
Let x be (-364)/480 - (-12)/15. Let t(r) be the second derivative of 2*r - 1/12*r**3 + 0*r**2 + 0 + x*r**4. Find f such that t(f) = 0.
0, 1
Let a = 9 + -2. Factor -6 + 21*l**3 + 0*l**2 + a*l + 2*l + 36*l**2.
3*(l + 1)**2*(7*l - 2)
Determine y so that 337*y**2 - 342*y**2 - y - y = 0.
-2/5, 0
Let m(n) = n**4 + 8*n**3 + 33