(j) = 0.
-6, 1
Let j(n) be the third derivative of n**5/135 + 13*n**4/18 - n**2 + 4*n. Solve j(v) = 0 for v.
-39, 0
Let y be 1/(-7) - (-12)/28*5. Let o(x) be the second derivative of -5/18*x**3 + 1/9*x**4 + 0 + 1/3*x**y - 5*x - 1/60*x**5. Solve o(r) = 0.
1, 2
Let x(q) be the first derivative of -3*q**4/8 - 3*q**3/2 + 408. Factor x(k).
-3*k**2*(k + 3)/2
Let c = -1696 - -1698. Factor -2/3*p**5 + 0 + 2/3*p**3 + 0*p - 2/3*p**4 + 2/3*p**c.
-2*p**2*(p - 1)*(p + 1)**2/3
Suppose 0*i = 5*i - 15. Let k be 3 - (-2 - (-1 + 4)). Find p such that -6*p**i - k*p**3 + 16 + 40*p - 4*p**3 + 12*p**2 = 0.
-2/3, 2
Let s be (675/648 + 15/(-18))/2. Let f(x) be the second derivative of 11*x + 7/24*x**3 + 0 + s*x**4 + 1/80*x**5 + 3/8*x**2. Factor f(c).
(c + 1)**2*(c + 3)/4
Let g = 3/11 - 79/330. Let l(j) be the second derivative of -1/100*j**5 - 6*j - 1/60*j**4 + 1/10*j**2 + 0 + g*j**3. Determine d so that l(d) = 0.
-1, 1
Let j(d) be the second derivative of -d**4/18 + d**3/3 + 3*d - 6. Factor j(v).
-2*v*(v - 3)/3
Let l = -871/10 + 175/2. Factor l + 4/15*s - 2/15*s**2.
-2*(s - 3)*(s + 1)/15
Let u(z) be the second derivative of 0*z**4 + 10*z + 0 + 0*z**3 - 1/30*z**6 - 1/84*z**7 + 0*z**2 - 1/40*z**5. Suppose u(k) = 0. What is k?
-1, 0
What is h in 6 + 125/4*h**3 - 25*h + 11/2*h**2 - 21/4*h**4 = 0?
-1, 2/7, 2/3, 6
Let u be (-1 - 2)*(-652)/6846. Solve u*c**2 + 0 + 1/7*c**4 + 3/7*c**3 + 0*c = 0 for c.
-2, -1, 0
Let o(p) be the first derivative of -p**3/3 + 5*p**2/2 - 60. Suppose o(b) = 0. Calculate b.
0, 5
Let f(u) = -116*u - 111. Let a be f(-1). Let j(l) be the first derivative of -2/15*l**a - 1/18*l**3 - 8 + 0*l - 1/6*l**4 + 0*l**2. Factor j(r).
-r**2*(2*r + 1)**2/6
Let x be (-45)/(-9)*2/2. Find r such that r**x - 3*r**3 + 7*r**4 - 8*r**2 - 2*r + 9*r**5 + r**2 - 5*r**5 = 0.
-1, -2/5, 0, 1
Let k(f) = 100*f**4 - 405*f**3 + 55*f. Let p(s) = 11*s**4 - 45*s**3 + 6*s. Let m(o) = 6*k(o) - 55*p(o). Factor m(d).
-5*d**3*(d - 9)
Let l = 101 - 156. Let d be 6/(-33) + -1 + (-153)/l. Solve -d*v**3 + 14/5*v**5 + 28/5*v**2 - 4/5 - 6/5*v - 24/5*v**4 = 0.
-1, -2/7, 1
Factor -9/2*y - 9/4*y**3 - 75/4*y**2 + 12.
-3*(y + 1)*(y + 8)*(3*y - 2)/4
Factor 4 + 1/2*a**4 - 2*a**3 - 3/2*a**2 + 5*a.
(a - 4)*(a - 2)*(a + 1)**2/2
Find g, given that -3/4*g**4 + 0*g - 1/2*g**3 - 1/4*g**5 + 0*g**2 + 0 = 0.
-2, -1, 0
Let a be -14 + (4 - (-1 + 3)). Let x be (a/10)/((-3)/5). Determine o so that -3*o**4 + 4 - 8*o**x + 5*o**4 + 2*o**4 = 0.
-1, 1
Let f(d) = -35*d**4 - 7*d**3 - 3*d**2 - 3. Let h = -26 + 23. Let p(v) = 35*v**4 + 8*v**3 + 2*v**2 + 2. Let l(a) = h*p(a) - 2*f(a). Factor l(z).
-5*z**3*(7*z + 2)
Let n(i) be the second derivative of 0 - 1/5*i**5 - 2*i - 2*i**3 + 0*i**2 + 4/3*i**4. Determine q, given that n(q) = 0.
0, 1, 3
Let h = -61 + 58. Let v = h + 8. Determine z, given that 8/5*z**2 + 98/5*z**v + 0*z + 0 + 64/5*z**3 + 154/5*z**4 = 0.
-1, -2/7, 0
Let w(p) = 2*p**3 + p**2 + 35*p + 27. Let m = 10 - 12. Let d = m - 4. Let a(n) = n**3 + 18*n + 14. Let b(j) = d*w(j) + 11*a(j). Suppose b(s) = 0. Calculate s.
-2
Let w(n) be the third derivative of n**8/1848 - 13*n**7/1155 + 19*n**6/660 + 29*n**5/66 + 4*n**4/3 + 64*n**3/33 - 5*n**2 + 2*n. Solve w(v) = 0.
-1, 8
Let f be (5/(-2) - -3)*22. Suppose -f = -3*y + 1. Find z such that -46*z**4 + 35*z**y - 4*z**3 - 13*z**4 = 0.
-1/6, 0
Let h(q) be the third derivative of -1/42*q**4 + 0*q + 0 + 1/280*q**6 - 11*q**2 + 1/1176*q**8 - 1/210*q**7 + 0*q**3 + 2/105*q**5. Suppose h(c) = 0. Calculate c.
-1, 0, 1/2, 2
Let v be (3 + (-62)/20)*(-80)/60. Factor -v*g**2 + 2/5 + 4/15*g.
-2*(g - 3)*(g + 1)/15
Suppose -695*i = -700*i. Factor -2/7*j**5 + i - 18/7*j + 4/7*j**3 - 24/7*j**2 + 8/7*j**4.
-2*j*(j - 3)**2*(j + 1)**2/7
Let a(u) be the first derivative of -u**7/840 + u**6/180 - u**5/120 - 14*u**3/3 + 5. Let l(r) be the third derivative of a(r). Factor l(c).
-c*(c - 1)**2
Let q(b) be the second derivative of b**7/21 + b**6/15 - 3*b**5/10 - 5*b**4/6 - 2*b**3/3 + 11*b. Solve q(w) = 0 for w.
-1, 0, 2
Let t be (5 + (-100)/18)*(-3)/1. Factor t*u**2 + 7/3*u**3 - 2/3*u + 0.
u*(u + 1)*(7*u - 2)/3
Let j(q) be the first derivative of -q**4/24 - 4*q**3/9 - 17*q**2/12 - 5*q/3 - 73. Factor j(y).
-(y + 1)*(y + 2)*(y + 5)/6
Let k(f) be the third derivative of -1/840*f**7 + 0*f**3 - 4*f**2 + 1/240*f**5 - 1/1344*f**8 + 1/480*f**6 + 0*f + 4 + 0*f**4. What is g in k(g) = 0?
-1, 0, 1
Let o(p) be the first derivative of -p**5/40 - p**4/4 - 3*p**3/4 - p**2 - 5*p - 11. Let y(h) be the first derivative of o(h). Factor y(x).
-(x + 1)**2*(x + 4)/2
Let j(z) = -6 + 17*z**2 - 3*z**2 - 9*z**2 - 5*z**3. Let h(o) = 14*o**3 - 14*o**2 + 17. Let t(a) = -6*h(a) - 17*j(a). Factor t(l).
l**2*(l - 1)
Suppose -3 = 17*x - 14*x. Let o(g) = -g**3 + 10*g**2 - g - 6. Let n(l) = l**2. Let s(b) = x*o(b) + 6*n(b). Find z such that s(z) = 0.
-1, 2, 3
Let m(t) = t**2 - 3*t - 37. Let s be m(-5). Factor -1/2*u**s + 0 + 1/2*u**4 - 5/2*u**2 - 3/2*u.
u*(u - 3)*(u + 1)**2/2
Suppose -5*v + 2*x = -8*v + 67, x + 93 = 4*v. Factor -38*t**2 + v*t**2 + 4 + 16*t**2 + 4*t.
(t + 2)**2
Suppose 0*o - 4/7 + 1/7*o**2 = 0. Calculate o.
-2, 2
Let a = -281 - -3655/13. Let u(s) = s**3 - 2*s - 4. Let q be u(2). Factor -a*n + q + 0*n**2 + 2/13*n**3.
2*n*(n - 1)*(n + 1)/13
Factor 2 - 247/5*m + 49/5*m**2.
(m - 5)*(49*m - 2)/5
Let v(j) be the third derivative of j**4/24 + 3*j**3/2 + 3*j**2 - 18*j. Let c be v(-6). Factor 0 + 8/17*y**2 + 0*y - 2/17*y**c.
-2*y**2*(y - 4)/17
Let l(k) be the second derivative of -k**5/4 - 20*k + 1. Factor l(s).
-5*s**3
Let v(m) be the first derivative of -2*m**3/3 + 2*m**2 + 116. What is y in v(y) = 0?
0, 2
Let o be 5/(-20) + (-26)/(-8). Let v(k) = k. Let b be v(o). Factor 5*g**b - 2*g - 21*g**2 - 17*g**3 + 3 - 4*g.
-3*(g + 1)**2*(4*g - 1)
Let t be (-243)/(-27) + 63/(-8). Factor -1/8*h**2 + 3/4*h - t.
-(h - 3)**2/8
Let f(k) be the first derivative of -k**6/50 - 3*k**5/50 + k**4/20 + k**3/5 - 13*k - 22. Let r(l) be the first derivative of f(l). What is d in r(d) = 0?
-2, -1, 0, 1
Let d be 70/(-105)*(-4)/8. Factor -16/3*m + 7/3*m**2 + 4 - d*m**3.
-(m - 3)*(m - 2)**2/3
Suppose l + 5 = 11. Let r(q) be the first derivative of 0*q + 2/5*q**5 + 0*q**2 + 1/3*q**3 + l - 3/4*q**4. Determine v, given that r(v) = 0.
0, 1/2, 1
Let n(y) = -y**4 + 15*y**3 + y**2 - 27*y + 8. Let u(d) = -10*d**4 + 165*d**3 + 10*d**2 - 300*d + 90. Let b(z) = -45*n(z) + 4*u(z). Determine r so that b(r) = 0.
-1, 0, 1, 3
Let u(r) be the second derivative of r**6/15 - r**5/2 + 7*r**4/6 - r**3 + 4*r - 9. Determine l so that u(l) = 0.
0, 1, 3
Let i(c) be the third derivative of -121/3*c**3 - 1/30*c**5 + 0 - 4*c**2 - 11/6*c**4 + 0*c. Factor i(o).
-2*(o + 11)**2
Let -144/7 + 2/7*b**4 + 430/7*b - 426/7*b**2 + 138/7*b**3 = 0. What is b?
-72, 1
Suppose u + 2 = 2*s, 3*u + 52 - 54 = 2*s. Let j(i) be the first derivative of 5/2*i**2 + 3 + 1/4*i**4 - 4/3*i**3 - s*i. Factor j(k).
(k - 2)*(k - 1)**2
Let k(o) be the third derivative of o**8/112 + o**7/10 + o**6/8 - 7*o**5/20 - 3*o**4/4 - o**2 + 19. Factor k(n).
3*n*(n - 1)*(n + 1)**2*(n + 6)
Suppose -p + 14 = 3*v - 0*p, 0 = -5*v + 2*p + 5. Factor -11*b**3 + 11*b**2 + 6*b**v + 4*b**2.
-5*b**2*(b - 3)
Find g, given that 2/3*g**2 + 0 - 2*g + 2*g**3 - 2/3*g**4 = 0.
-1, 0, 1, 3
Let r = 6 - 11. Let l(b) = -b**3 + b**2. Let i(t) = -6*t**3 + 8*t**2 - 3*t + 1. Let y(o) = r*l(o) + i(o). Find n, given that y(n) = 0.
1
Let w(a) be the third derivative of a**8/560 - a**7/50 + 7*a**6/100 - a**5/50 - 3*a**4/8 + 9*a**3/10 - 9*a**2. Solve w(q) = 0.
-1, 1, 3
Let u(f) be the first derivative of f**4/5 - 2*f**3/3 + 3*f**2/5 - 71. Solve u(g) = 0 for g.
0, 1, 3/2
Let g = 1046 + -41837/40. Let i(s) be the second derivative of 0 + 1/8*s**4 + 3/40*s**5 - 3/8*s**3 + 1/56*s**7 + 3/8*s**2 - g*s**6 + 6*s. Factor i(r).
3*(r - 1)**4*(r + 1)/4
Let d(r) be the third derivative of r**5/100 + 9*r**4/40 + 4*r**3/5 - 63*r**2. Factor d(t).
3*(t + 1)*(t + 8)/5
Let r(w) be the first derivative of -w**3/18 + 23*w**2/12 - 11*w/3 - 67. Factor r(l).
-(l - 22)*(l - 1)/6
Let p(h) = -3*h**3 - 4*h**2 + 9*h + 14. Let t(v) = 7*v**3 + 7*v**2 - 18*v - 28. Let m(a) = 5*p(a) + 2*t(a). Suppose m(w) = 0. What is w?
-7, -1, 2
Let r(n) = -7*n**2 + 28*n + 35. Let t(s) = -s**2 - s. Suppose 0 = -3*o - 3*o + 6. Let b(p) = o*r(p) - 2*t(p). Determine y so that b(y) = 0.
-1, 7
Suppose 3*f -