*a**3 + 0 + 0*a + 1/60*a**4 + 12*a**x - 1/150*a**5. Solve s(n) = 0 for n.
-1, 2
Let x = 10513 - 10511. Factor 1/9*g**x + 1/9*g - 2/3.
(g - 2)*(g + 3)/9
Let h(d) be the third derivative of -d**7/735 + d**6/210 + 2*d**5/35 - 10*d**4/21 + 32*d**3/21 + 179*d**2. Let h(i) = 0. What is i?
-4, 2
Let n(s) be the second derivative of -s**7/560 + s**6/15 - 4*s**5/5 - s**3 - s**2 + 2*s - 3. Let q(p) be the second derivative of n(p). Factor q(r).
-3*r*(r - 8)**2/2
Let j(z) be the second derivative of z**7/1260 + z**6/90 + z**5/20 - z**4/12 - 23*z. Let f(a) be the third derivative of j(a). What is w in f(w) = 0?
-3, -1
Let w(h) be the second derivative of h**4/60 - 23*h**3/30 - 12*h**2/5 + h - 39. Factor w(g).
(g - 24)*(g + 1)/5
Let v(k) = k - 1. Suppose -10*t + 15 = -5*t. Let s(c) = -t*c**2 - 4*c**2 - 6 + 2*c**2 + 6*c**2 + 5*c. Let u(a) = 4*s(a) - 36*v(a). Factor u(h).
4*(h - 3)*(h - 1)
Let n(a) be the second derivative of 7*a**5/10 - 9*a**4 + 68*a**3/3 + 24*a**2 - 8*a + 1. Factor n(p).
2*(p - 6)*(p - 2)*(7*p + 2)
Let i be (-118)/(-12) + 26/(-78). Factor -7/2*g**2 + 3 + i*g.
-(g - 3)*(7*g + 2)/2
Let l be ((-8)/10 - (-312)/65)*3. Let p be ((-45)/l)/(-5)*4. Factor -a - 1 + 1/4*a**2 + 1/4*a**p.
(a - 2)*(a + 1)*(a + 2)/4
Let k be (((-4)/30)/(48/(-54)))/(22/110). Factor 0 + k*q - 1/4*q**2.
-q*(q - 3)/4
Factor 5*k**3 + 5*k**2 + 8*k**2 - 5*k**2 + 5*k + 2*k**2 + 0*k.
5*k*(k + 1)**2
Let a = 913/282 - -9/94. Factor 5/3*t**4 + 0 + 0*t + 5/3*t**2 + a*t**3.
5*t**2*(t + 1)**2/3
Suppose 6*n = -18 + 162. Suppose -13*q + n*q = 55. Solve 0*m + m**3 - 1/2*m**2 - m**q + 0 + 1/2*m**4 = 0 for m.
-1, 0, 1/2, 1
Let f = -133 + 147. Let k be 10/28*6*f/8. Factor 0*r - 3/4*r**5 - 27/4*r**2 + 0 - 9/4*r**3 + k*r**4.
-3*r**2*(r - 3)**2*(r + 1)/4
Suppose 3*r - 4 + 4 = 0. Suppose -9*m + 6*m = r. Factor 2/5*v**5 + 6/5*v**3 + m + 0*v + 2/5*v**2 + 6/5*v**4.
2*v**2*(v + 1)**3/5
Let y(k) = 5*k**3 + 3*k**2 - 3*k - 1. Let f(j) = 2*j**3 - j + 1. Let r(w) = -3*f(w) + y(w). What is v in r(v) = 0?
-1, 2
Let n(i) be the first derivative of 0*i - 8/3*i**3 + 3 + 7*i**4 + 0*i**2. Factor n(b).
4*b**2*(7*b - 2)
Let i(g) = -g - 2. Let n = 37 + -3. Let h(o) = o**2 + 5*o + 11. Let j(x) = n*i(x) + 6*h(x). Factor j(q).
2*(q - 1)*(3*q + 1)
Let z(c) = -c**2 - 4*c - 11. Let m(i) = 5*i**2 + 19*i + 56. Let n(x) = -2*m(x) - 11*z(x). Find s such that n(s) = 0.
-3
Let z = -4 - -136. Let c = z + -922/7. Let -c*b**2 + 0 + 0*b = 0. What is b?
0
Let l(i) be the third derivative of i**6/24 - i**5/4 + 11*i**2 - 7. Solve l(v) = 0 for v.
0, 3
Let s(a) be the first derivative of 1/26*a**4 + 0*a**2 + 8/13*a - 2/13*a**3 - 2. Factor s(o).
2*(o - 2)**2*(o + 1)/13
Let q(i) be the second derivative of -i**7/210 + 3*i**5/100 - i**4/30 - 6*i - 55. Suppose q(g) = 0. What is g?
-2, 0, 1
Determine d so that 11*d + 15*d + 3*d**3 + 17*d - 24 + 6*d**2 - 55*d = 0.
-2, 2
Let p(f) be the second derivative of -5*f**4/6 + 10*f**3/3 + 15*f**2 + 5*f. Let c(i) = 9*i**2 - 20*i - 29. Let a(k) = -5*c(k) - 4*p(k). Factor a(t).
-5*(t - 5)*(t + 1)
Suppose 0*n + 0 + 4/3*n**3 - 88/3*n**2 = 0. What is n?
0, 22
Let w(o) be the second derivative of o**9/18144 + o**8/1120 + 3*o**7/560 + o**6/80 - 17*o**3/6 - 7*o. Let f(n) be the second derivative of w(n). Factor f(k).
k**2*(k + 3)**3/6
Suppose 7*l - 99 = -99. Factor -7*c**2 - 4*c**2 + l*c**2 + 2*c**2 - c**3.
-c**2*(c + 9)
Let c(u) = 11*u**5 - 24*u**4 - 19*u**3 - 24*u**2 - 23*u - 17. Let o(r) = 4*r**5 - 8*r**4 - 6*r**3 - 8*r**2 - 8*r - 6. Let l(f) = -6*c(f) + 17*o(f). Factor l(h).
2*h*(h + 1)**4
Suppose -5*r + m = -43, 4*m + 0*m = r - 1. What is j in -9 - 9*j**2 + 5*j**2 + 2*j**3 + r = 0?
0, 2
Factor -6*i**2 - 12*i - 29 + 2*i**3 + 3 + 42.
2*(i - 4)*(i - 1)*(i + 2)
Let h(u) be the third derivative of u**8/168 - 4*u**7/105 - u**6/15 + 17*u**5/15 - 15*u**4/4 + 6*u**3 + 17*u**2 - 8. Suppose h(l) = 0. What is l?
-3, 1, 2, 3
Let w = 6499 + -6496. Find h such that -1/2 + 0*h**2 + h**w - h + 1/2*h**4 = 0.
-1, 1
Let d(y) be the third derivative of 1/10*y**5 + 0*y + 1/112*y**8 + 0 - 3/40*y**6 - 11*y**2 + 0*y**4 + 0*y**7 + 0*y**3. Factor d(b).
3*b**2*(b - 1)**2*(b + 2)
Factor -12*c**2 - 394*c + 4*c**3 + 749*c - 371*c.
4*c*(c - 4)*(c + 1)
Let z(l) be the second derivative of -l**6/240 + l**5/40 - l**4/16 + l**3/12 - 2*l**2 - 18*l. Let k(y) be the first derivative of z(y). Factor k(s).
-(s - 1)**3/2
Let t(i) = -i**3 - 6*i**2 - 6*i - 1. Let c be t(-5). Factor 2*u**3 + u**2 - 13*u**2 - 2*u**2 - c + 36 + 16*u.
2*(u - 4)**2*(u + 1)
Let q = 1504 - 4510/3. Find w such that 1/3*w**4 + q*w**2 + 0*w - w**3 + 0 = 0.
0, 1, 2
Let h = -237/4 - -727/12. Let k(v) be the second derivative of 10*v - 1/5*v**5 + 0*v**2 + h*v**4 + 0 - 8/3*v**3. Factor k(o).
-4*o*(o - 2)**2
Let n(h) be the second derivative of 10*h**2 + 0 - 5/42*h**7 + 20/3*h**3 - 7/4*h**5 - 5/6*h**6 + 28*h + 5/12*h**4. Solve n(f) = 0 for f.
-2, -1, 1
Let n be (-1 - -3) + 14/(-8). Let s = 3403 + -3400. Factor 2*t**2 - 5/4*t**s + 0 + n*t**4 - t.
t*(t - 2)**2*(t - 1)/4
Suppose -4*f + 804 = -5*l, -l = -2*f + 377 + 31. Suppose d + 204 - f = 0. Factor 1/2 + q + 1/2*q**d.
(q + 1)**2/2
Let o(u) be the second derivative of u**5/50 - 2*u**4/15 - 4*u**3/15 + 16*u**2/5 + 10*u - 10. Factor o(b).
2*(b - 4)*(b - 2)*(b + 2)/5
Let k = 2953 + -162409/55. Let d = 4/55 + k. Determine b so that 4/11*b**3 + 6/11*b**4 + 0*b + 0 - d*b**2 = 0.
-1, 0, 1/3
Let v(y) be the second derivative of -y**5/70 - 45*y**4/14 - 2025*y**3/7 - 91125*y**2/7 + 103*y. Factor v(m).
-2*(m + 45)**3/7
Determine o so that 21*o**4 + 12*o**3 - 3*o**4 + 2*o**2 - 6*o**2 + 2*o**3 = 0.
-1, 0, 2/9
Factor -1/5*w**2 - 48/5 + 19/5*w.
-(w - 16)*(w - 3)/5
Let i(n) be the third derivative of n**5/120 - 25*n**4/48 + 2*n**3 - n**2 + 206. Factor i(p).
(p - 24)*(p - 1)/2
Let v be 1/(5 + (-4 - -5)). Let f(q) be the third derivative of -v*q**3 + 13/24*q**4 - 3*q**2 - 169/240*q**5 + 0 + 0*q. Let f(d) = 0. Calculate d.
2/13
Let h(y) = -66*y**2 - 130*y + 136. Let f(i) = 20*i**2 + 43*i - 45. Let q(m) = 20*f(m) + 6*h(m). Factor q(j).
4*(j - 1)*(j + 21)
What is d in 7*d - 98 - 1/8*d**2 = 0?
28
Let y be 2/5 - 52/(-20). Let b(i) be the first derivative of -3/8*i**2 + 1/4*i**y - 1 + 1/4*i - 1/16*i**4. Solve b(s) = 0 for s.
1
Let g be (294/60)/((-43)/(-258)). Factor -343/5 - 1/5*a**3 - 21/5*a**2 - g*a.
-(a + 7)**3/5
Let c = -7 + 4. Let n be (-5 + c)/2*5/(-110). Factor 12/11*t**3 + 8/11*t**2 + 2/11*t + 8/11*t**4 + 0 + n*t**5.
2*t*(t + 1)**4/11
Suppose -15 = -r - 4*j, -4*r = -5*j + j - 20. Determine c so that 8*c**2 + 24*c**3 - 12*c**5 - 6*c**5 + c + 3 + 15*c**4 - 26*c**2 - r*c = 0.
-1, -1/2, 1/3, 1
Suppose 0 = -2*k + 4*k + 14. Let w = k + 10. Factor 0 + w*m**2 - 4 + 0*m**2 - 4*m + 0.
(m - 2)*(3*m + 2)
Let k = 19487/9 - 2165. Factor 2/3 - 2/9*x + k*x**3 - 2/3*x**2.
2*(x - 3)*(x - 1)*(x + 1)/9
Let t(b) = b**3 + 14*b**2 - 50*b + 19. Let j be t(-17). Factor 2/15*q**3 + 0 + 0*q - 2/15*q**j.
2*q**2*(q - 1)/15
Let o(a) be the second derivative of -a**5/230 + a**4/69 + 7*a**3/69 + 4*a**2/23 + 42*a. Let o(w) = 0. Calculate w.
-1, 4
Let a = 91 + -89. Let g(f) be the second derivative of -1/9*f**3 + 0*f**a - 1/60*f**5 - 8*f + 1/12*f**4 + 0. Factor g(l).
-l*(l - 2)*(l - 1)/3
Let n be 24/3*((-2)/(-18))/(286/117). Find w, given that n*w**3 + 2/11*w**4 + 0 - 2/11*w**2 - 4/11*w = 0.
-2, -1, 0, 1
Let l = 65 - 57. Let u be (l/(-18))/4 - (-2)/6. Factor u*c**3 + 0 - 2/3*c**2 + 4/9*c.
2*c*(c - 2)*(c - 1)/9
Let k be (-40)/72 + (-42)/(-27) + 1/1. Find r, given that -k*r - 9/2*r**3 - 1 + 41/4*r**2 = 0.
-2/9, 1/2, 2
Let j(x) be the first derivative of 14*x**3 + 49/16*x**4 + 4*x + 18 - 27/2*x**2. Factor j(f).
(f + 4)*(7*f - 2)**2/4
Let y be (2/(-28))/((-60)/16). Let x(i) be the third derivative of 2/3*i**4 + 4*i**2 + 0 + y*i**7 + 1/6*i**6 + 0*i**3 + 8/15*i**5 + 0*i. Factor x(n).
4*n*(n + 1)*(n + 2)**2
Let x(z) be the third derivative of -z**7/840 + z**6/480 + z**5/120 - 224*z**2 + 1. Solve x(v) = 0.
-1, 0, 2
Suppose 3*n + 2 = 14. Let x be n/(-30) + (-256)/(-120). Find a, given that 3*a**3 - 11 + 11 + 3*a**4 - 3*a - 3*a**x + 0*a = 0.
-1, 0, 1
Let i(l) be the third derivative of -l**9/42336 - l**8/5880 - l**7/4410 + l**5/6 - 6*l**2. Let s(v) be the third derivative of i(v). Solve s(g) = 0 for g.
-2, -2/5, 0
Suppose 0 = -4*h + 8 + 80. Factor h*a**2 + 2*a - 23*a**2 + 4*a - 9.
-