e third derivative of -t**8/616 + 2*t**7/165 - 17*t**6/660 + t**5/55 - 26*t**2. Find r such that c(r) = 0.
0, 2/3, 1, 3
Let x(f) be the second derivative of 0*f**4 + 2*f - 1/18*f**3 + 1/180*f**5 + 1/2*f**2 + 0. Let r(z) be the first derivative of x(z). Factor r(q).
(q - 1)*(q + 1)/3
Factor -2*q**2 + 3*q**2 - q**3 + q - q**3.
-q*(q - 1)*(2*q + 1)
Let m(l) be the second derivative of 3/2*l**2 - 3/2*l**3 - 4*l + 3/10*l**5 + 1/14*l**7 - 3/10*l**6 + 0 + 1/2*l**4. Suppose m(w) = 0. Calculate w.
-1, 1
Find h, given that 5/3*h**5 - 64/3*h - 4/3*h**3 + 16/3 + 64/3*h**2 - 17/3*h**4 = 0.
-2, 2/5, 1, 2
Let p(f) be the second derivative of f**10/120960 + f**9/60480 + f**4/12 - 5*f. Let y(n) be the third derivative of p(n). Factor y(z).
z**4*(z + 1)/4
Let o(c) be the third derivative of c**6/540 - c**5/45 + 32*c**3/27 - 17*c**2. Let o(w) = 0. Calculate w.
-2, 4
Let f(b) be the third derivative of 5/24*b**4 + 3*b**2 - 3/10*b**5 + 8/105*b**7 + 1/30*b**6 - 3/112*b**8 + 0 + 0*b + 1/3*b**3. Determine u so that f(u) = 0.
-1, -2/9, 1
Factor 18*c - 18*c - 13*c**4 + 5*c**5 + 3*c**4 + 10*c**2 - 5*c**3.
5*c**2*(c - 2)*(c - 1)*(c + 1)
Let u(d) be the second derivative of d**5/70 + 2*d**4/21 - 5*d**3/21 - 24*d. Factor u(v).
2*v*(v - 1)*(v + 5)/7
Let u = 4/1311 - 283/235980. Let d(f) be the third derivative of 0*f**3 + 0*f + 0 - u*f**6 + 0*f**4 - 1/270*f**5 + 3*f**2. Factor d(y).
-2*y**2*(y + 1)/9
Let a(w) be the third derivative of 1/300*w**6 + w**2 - 1/60*w**4 + 0*w + 0 - 1/15*w**3 + 1/150*w**5. Factor a(q).
2*(q - 1)*(q + 1)**2/5
Let r(l) be the second derivative of 14*l**6/15 - 23*l**5/5 + 20*l**4/3 - 8*l**3/3 - l. Solve r(x) = 0 for x.
0, 2/7, 1, 2
Let h(b) = b**2 - 7*b. Let d = 26 - 19. Let l be h(d). What is r in 2/3*r - 4/3*r**4 + l*r**3 + 4/3*r**2 - 2/3*r**5 + 0 = 0?
-1, 0, 1
Suppose -231*w = -236*w + 15. Suppose 2/3*d**2 + 0 - 1/3*d - 1/3*d**w = 0. What is d?
0, 1
Determine o, given that -12*o**2 - 19*o - 19*o - 4 + 22*o = 0.
-1, -1/3
Solve 1/6*k**2 - 5/6*k + 2/3 = 0.
1, 4
Let x be 3/9 - (-33)/9. Suppose 3*q = 3*k + 9, q - x*k + 13 = 2*q. Suppose -7*a**2 + 0*a**2 - q*a**2 + 12*a**3 - 3*a**4 = 0. Calculate a.
0, 2
Let o(v) be the first derivative of 0*v**2 + 0*v + 2 - 2/21*v**3. Factor o(b).
-2*b**2/7
Let p(n) = 6*n + 18. Let w be p(-3). Factor w*k**3 + 0*k + 0 + 0*k**2 - 3/5*k**5 + 0*k**4.
-3*k**5/5
Let s be 22/12*48/66. Factor 2/3*p**2 + 2*p + s.
2*(p + 1)*(p + 2)/3
Let o = -18 + 38. Suppose 2*v = -2*i + 8, 3*i - 3*v = 2*v - o. Determine a, given that 1/2*a**3 + 0*a + i*a**2 + 0 = 0.
0
Let h(p) be the first derivative of -2*p**5/5 + 2*p**3/3 + 3. Factor h(k).
-2*k**2*(k - 1)*(k + 1)
Factor -3/2*c**3 + 3/4 + 0*c**2 + 3/2*c - 3/4*c**4.
-3*(c - 1)*(c + 1)**3/4
Factor u + 4*u**3 - 12 + 29*u**2 + 12 - 25*u**2.
u*(2*u + 1)**2
Determine w so that 0*w**2 + 2*w**5 + 16*w**3 - 2*w**2 - 10*w**2 + w + 12*w**4 - 19*w = 0.
-3, -1, 0, 1
Let f(p) be the second derivative of p**7/84 + p**6/30 - p**5/20 - p**4/3 - 7*p**3/12 - p**2/2 - 16*p. Determine z so that f(z) = 0.
-1, 2
Factor 3/4 + 1/4*c**2 - c.
(c - 3)*(c - 1)/4
Let g = -166315 - -44239887/266. Let m = -3/38 + g. Determine b so that 0 + 4/7*b**4 + 0*b**3 - 4/7*b**2 - 2/7*b + m*b**5 = 0.
-1, 0, 1
Suppose -m = -2*m - 4. Let n be (4/(-2) - -1)/m. Suppose n*h - 1/4*h**2 + 0 = 0. Calculate h.
0, 1
Let l = -3 + 6. Suppose 0*k = -l*k - 3*x + 21, -29 = -5*k - 3*x. What is p in -2*p - p**2 + 2*p**k + p**5 + p - p**2 = 0?
-1, 0, 1
Let n(p) be the third derivative of p**5/20 - 3*p**4/8 + p**3 - 17*p**2. Factor n(f).
3*(f - 2)*(f - 1)
Let p(l) be the third derivative of 2*l**7/105 + l**6/5 + 4*l**5/5 + 5*l**4/3 + 2*l**3 - 2*l**2 + 9. Factor p(j).
4*(j + 1)**3*(j + 3)
Let d(n) be the third derivative of n**7/525 + n**6/300 + 11*n**2. Let d(j) = 0. What is j?
-1, 0
Let d be -30 - 1/((-1)/3). Let l(p) = 21*p**3 - 63*p**2 + 63*p - 48. Let n(j) = -3*j**3 + 9*j**2 - 9*j + 7. Let r(f) = d*n(f) - 4*l(f). Solve r(i) = 0 for i.
1
Determine z so that 1/2*z**2 - 1/2*z**4 - z + 0 - 1/2*z**5 + 3/2*z**3 = 0.
-2, -1, 0, 1
Let q(d) be the second derivative of 98/15*d**6 + 3*d - 16*d**2 - 77/5*d**5 + 104/3*d**3 + 0 - 22*d**4. Factor q(y).
4*(y - 2)*(y + 1)*(7*y - 2)**2
Let v be (-9)/(-99) + (-404)/(-396). Find t, given that -4/9*t**3 + 0*t**2 + 0*t + v*t**4 + 0 = 0.
0, 2/5
Suppose -4*m - 4 = 3*l - 0*m, -5*l = 2*m + 2. Suppose -2/3*s**4 + 0*s**2 + 0*s**3 + 0*s + l = 0. Calculate s.
0
Let t = -4 - -4. Suppose -7*d + 3*d + 12 = t. Find h, given that -1/2 - 3/2*h**2 - 3/2*h - 1/2*h**d = 0.
-1
Let m(g) be the second derivative of g**6/30 - g**5/20 + g**4/12 - 6*g. Let s(q) = -2*q**4 - 4*q**3 + 8*q - 6. Let x(l) = -4*m(l) - s(l). Factor x(j).
-2*(j - 3)*(j - 1)**2*(j + 1)
Let s = -5 + 2. Let o(q) = q**4 - 2*q**3 - 3*q**2 - 4*q. Let c(b) = b**4 - b**3 - 2*b**2 - 3*b. Let g(y) = s*o(y) + 4*c(y). Factor g(l).
l**2*(l + 1)**2
Let -1/2 - 5/2*g**4 - 5*g**3 - 1/2*g**5 - 5*g**2 - 5/2*g = 0. What is g?
-1
Let o = -9 + 13. Let n be ((-2)/4)/(o/(-432)). Let 0 + 17*m**2 + 54*m**5 - 18*m + 2 - n*m**4 + 35*m**2 + 11*m**3 - 47*m**3 = 0. Calculate m.
-1, 1/3, 1
Let d(l) = l**3 - 6*l**2 + 7*l - 6. Let o be d(5). Let z(b) be the first derivative of 1/5*b + o - 1/15*b**3 + 0*b**2. Find i such that z(i) = 0.
-1, 1
Let j be (1 - -2) + (-2610)/990. Factor -j*v + 2/11 + 0*v**2 - 2/11*v**4 + 4/11*v**3.
-2*(v - 1)**3*(v + 1)/11
Let h(l) be the first derivative of -4/7*l + 6/7*l**3 + 2 - 2/5*l**5 + 5/7*l**2 - 5/14*l**4. Suppose h(g) = 0. What is g?
-1, 2/7, 1
Let i(c) be the first derivative of -2*c**5/55 + 2*c**4/11 - 10*c**3/33 + 2*c**2/11 - 3. Let i(l) = 0. What is l?
0, 1, 2
Let z(u) be the second derivative of 1/3*u**4 + 3/5*u**3 + 3/50*u**5 + 0 + 2/5*u**2 - u. Suppose z(j) = 0. What is j?
-2, -1, -1/3
Let b(f) be the first derivative of 3*f**4/4 + 21*f**3 + 441*f**2/2 + 1029*f + 31. Solve b(o) = 0.
-7
Let -2/7*w**3 - 64*w - 58/7*w**2 - 56 = 0. What is w?
-14, -1
Let o be 3/2*4/15. Let x(v) be the first derivative of o*v**5 + 0*v + 4/33*v**6 + 2/33*v**3 + 9/22*v**4 - 1/11*v**2 - 1. Factor x(b).
2*b*(b + 1)**3*(4*b - 1)/11
Let t(l) = l**2 + 11*l + 12. Let o be t(-9). Let h be 8/15*o - -4. Factor 4/5*p**4 - h*p**2 - 2/5*p**5 + 0 + 0*p**3 + 2/5*p.
-2*p*(p - 1)**3*(p + 1)/5
Let p(r) be the third derivative of -r**6/720 + r**3/2 - 2*r**2. Let m(n) be the first derivative of p(n). Factor m(f).
-f**2/2
Let t(g) be the second derivative of -3*g**5/20 - 5*g**4/2 - 23*g**3/2 - 21*g**2 + 8*g - 2. Determine u so that t(u) = 0.
-7, -2, -1
Let w = -2178/5 - -436. Solve 0*f - w*f**2 + 2/5 = 0 for f.
-1, 1
Let h = 460 + -458. Suppose 0 - 1/4*u + 1/4*u**3 + 0*u**h = 0. What is u?
-1, 0, 1
Let r = 40 - 43. Let t be r/(2 - -4)*0. Factor 0*j + t*j**2 - 1/6*j**3 - 2/3*j**4 + 0.
-j**3*(4*j + 1)/6
Suppose -5*m - 25 = -4*b + 5*b, -5*m + 2*b = 10. Let w be (-3)/(-3 + (-6)/m). Factor -s - 3*s**2 - 2*s + 3 + 0*s**w + 0*s**3 + 3*s**3.
3*(s - 1)**2*(s + 1)
Let r(a) be the third derivative of -a**7/70 + a**6/12 - a**5/5 + a**4/4 - a**3/6 + 6*a**2. Factor r(d).
-(d - 1)**3*(3*d - 1)
Determine a so that 8*a**3 - 17*a - 8 + 7*a**2 - 4 + 9*a**2 + 9*a - 4*a**4 = 0.
-1, 1, 3
Let z(s) be the second derivative of 3*s**5/20 + s**4/2 + s**3/2 - 20*s. Factor z(f).
3*f*(f + 1)**2
Let o(v) be the first derivative of 0*v**3 + 3/28*v**4 - 3/14*v**2 + 0*v + 7. What is a in o(a) = 0?
-1, 0, 1
Let m(k) be the third derivative of -k**8/168 - k**7/105 + k**6/60 + k**5/30 + 3*k**2. Determine z so that m(z) = 0.
-1, 0, 1
Let 0 - 5/3*g**5 - 8/3*g**4 + 3*g**3 + 8/3*g**2 - 4/3*g = 0. Calculate g.
-2, -1, 0, 2/5, 1
Let 0*d**4 - 2/3*d**3 + 0*d**2 + 0 + 1/3*d**5 + 1/3*d = 0. Calculate d.
-1, 0, 1
Let w be (714/(-48))/(-17)*4/14. Let w*c**4 + 1/2*c**3 + 0*c**2 - 1/4 - 1/2*c = 0. Calculate c.
-1, 1
Let o(v) be the first derivative of -v**6/6 + 9*v**5/5 - 27*v**4/4 + 9*v**3 + 29. Solve o(w) = 0.
0, 3
Factor 0*k - 1/3*k**2 + 0 + k**3 + 1/3*k**5 - k**4.
k**2*(k - 1)**3/3
Let g be (-8)/(-6) - 8/(-12). Let o = -1/78 - -275/156. Factor 1/2*q + 0 + o*q**g.
q*(7*q + 2)/4
Let i(j) be the first derivative of 0*j**2 - 8*j + 1/2*j**4 - 3 + 2*j**3. Suppose i(d) = 0. Calculate d.
-2, 1
Let h be (-123)/(-30) - (1 + 3). Let n(x) be the second derivative of 0 + 0*x**4 - 1/3*x**3 + 0*x**2 + h*x**5 - 2*x. Suppose n(j) = 0. Calculate j.
-1, 0, 1
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