rst derivative of 1/6*u**4 - 1/3*u**2 - 4/9*u**3 + u + 1/15*u**5 + 21. Determine n, given that s(n) = 0.
-3, -1, 1
Let b = 40 + -46. Let f be (-8)/b*6/4. Let -1/3*c - 1/3*c**4 - c**f + 0 - c**3 = 0. Calculate c.
-1, 0
Let u = -1425 + 1427. Let -24 + 12*f - 3/2*f**u = 0. Calculate f.
4
Suppose 5*a + 13 = -3*b, 3*a = 2*b + 6 - 29. Let j be 3 + 258/(-88) + b/22. Suppose 0 + 3/4*l + j*l**2 = 0. What is l?
-3, 0
Let v(q) be the first derivative of -q**5/15 + 29*q**4/2 - 7741*q**3/9 + 2494*q**2 - 7396*q/3 + 850. Determine a, given that v(a) = 0.
1, 86
Let f(r) = 1 - r - 1 + 2*r + 1. Let x(h) = -4*h**2 - 4*h - 20. Let j(p) = 20*f(p) + x(p). Factor j(a).
-4*a*(a - 4)
Suppose -17 = -127*n + 364. Let 25/3 + 5*a + 1/3*a**3 - n*a**2 = 0. Calculate a.
-1, 5
Let x(j) = 40*j**3 + 49*j**2 - 8*j - 24. Let v(l) = -20*l**3 - 25*l**2 + 4*l + 12. Let t = 50 + -43. Let q(k) = t*v(k) + 3*x(k). Factor q(r).
-4*(r + 1)**2*(5*r - 3)
Let g be (-11)/(-112)*222 - (-14 + (-4485)/(-312)). Solve g*d**2 + 0 + 2/7*d**4 - 250/7*d - 30/7*d**3 = 0 for d.
0, 5
Let s(w) be the first derivative of -w**3/6 + 17*w**2/4 + 82. Determine n so that s(n) = 0.
0, 17
Let x = -2143 + 2147. Let r(l) be the second derivative of 0*l**x + 0 + 1/180*l**6 + 0*l**3 - 2*l + 0*l**2 - 1/60*l**5. Factor r(h).
h**3*(h - 2)/6
Let v be (-5 + 640/88)*(42 + -1). Let x = -93 + v. Factor x*d**2 + 0 - 2/11*d.
2*d*(d - 1)/11
Let b(v) be the first derivative of 3*v**5/10 + 3*v**4/4 - 7*v**3/2 + 3*v**2 - 197. Factor b(z).
3*z*(z - 1)**2*(z + 4)/2
Let d(a) be the second derivative of -a**4/96 - 31*a**3/12 - 961*a**2/4 + 287*a. Factor d(x).
-(x + 62)**2/8
Suppose 2*y + 8 = 2*m, 0 = -m + 13*y - 10*y + 8. Let p(u) be the second derivative of 11*u + 0*u**4 + 0*u**m + 0 + 0*u**3 + 1/80*u**5. What is x in p(x) = 0?
0
Factor 4/9*q**2 + 2/9*q**4 + 0*q + 0 + 2/3*q**3.
2*q**2*(q + 1)*(q + 2)/9
Let b(w) be the first derivative of -1/18*w**4 - 45 + 8/9*w**2 + 4/27*w**3 + 0*w. Solve b(c) = 0.
-2, 0, 4
Let a(p) be the third derivative of -p**8/168 - 2*p**7/105 + p**6/20 + 4*p**5/15 + p**4/3 - 13*p**2 + 2*p. Solve a(g) = 0.
-2, -1, 0, 2
Suppose 0 = 374*v + 759 - 1881. What is c in 13/5*c - 2/5*c**2 - 8/5 - 3/5*c**v = 0?
-8/3, 1
Let z(l) be the second derivative of l**5/80 - l**4/3 + 77*l**3/24 - 49*l**2/4 - 103*l. Factor z(w).
(w - 7)**2*(w - 2)/4
Let g(i) = -i**2 - 49*i + 2158. Let y be g(28). Factor -7/8 + 1/8*f**y + 3/4*f.
(f - 1)*(f + 7)/8
Suppose -69*c + 12 = -66*c. Suppose 37*t**2 - 56*t + 0 + 15*t**2 + c = 0. What is t?
1/13, 1
Let k(f) = -3*f**2 - 6*f - 21. Suppose 3*y - 3*o - 8 = -8*o, 0 = -2*o + 2. Let v(i) = -1. Let d(w) = y*k(w) - 18*v(w). Suppose d(g) = 0. Calculate g.
-1
Let a be ((-20)/(-25))/((-2)/(-5)). Let z(u) = -u**3 + 4*u**2 - 3*u + 3. Let n be z(3). Factor n*h + 2*h**4 + 4*h**3 + 2*h**2 - h - a*h.
2*h**2*(h + 1)**2
Determine o so that o**5 + 12*o**2 - 3*o**4 + 4*o**2 + 33*o**3 - 4*o**4 - 25*o**3 = 0.
-1, 0, 4
Suppose 2*o**4 - o**5 - 6*o**5 + 2*o**3 + 5*o**5 - 4*o**4 + 2*o**2 = 0. Calculate o.
-1, 0, 1
Factor -80*z**2 + 66*z**3 + 28*z + 4*z - 81*z**5 + 83*z**5 - 20*z**4.
2*z*(z - 4)**2*(z - 1)**2
Factor 4/3*m**2 - 14/3 - 10/3*m.
2*(m + 1)*(2*m - 7)/3
Let g be ((-18)/(-15))/((-4)/(640/(-24))). Let d(y) be the third derivative of g*y**2 + 0 + 0*y**5 + 0*y - 1/9*y**3 - 1/360*y**6 + 1/24*y**4. Factor d(u).
-(u - 1)**2*(u + 2)/3
Let g(y) be the first derivative of -y**6/2160 + y**5/360 - y**4/144 + 2*y**3/3 - 15. Let n(s) be the third derivative of g(s). Let n(v) = 0. Calculate v.
1
Let k(c) = -2*c**5 + c**2 + 2. Let b(i) = -4*i**5 - 176*i**4 + 1932*i**3 + 180*i**2 - 1936*i + 8. Let u(x) = b(x) - 4*k(x). Let u(r) = 0. Calculate r.
-1, 0, 1, 22
Let y(c) = -c**5 + 64*c**4 + 166*c**3 + 160*c**2 + 43*c. Let r(o) = 63*o**4 + 165*o**3 + 159*o**2 + 45*o. Let s(k) = 4*r(k) - 3*y(k). Factor s(g).
3*g*(g + 1)**3*(g + 17)
Let r(f) be the second derivative of -f**6/50 + 16*f**5/75 - 17*f**4/30 + 8*f**3/15 + 8*f**2 - 19*f. Let k(y) be the first derivative of r(y). Factor k(j).
-4*(j - 4)*(j - 1)*(3*j - 1)/5
Let d(t) be the first derivative of t**3/12 - 11*t**2/8 - 3*t - 69. Find q, given that d(q) = 0.
-1, 12
Let v(g) be the first derivative of -9*g**4/8 + 97*g**3/2 - 2491*g**2/4 + 2209*g/2 - 72. Factor v(c).
-(c - 1)*(3*c - 47)**2/2
Suppose -40 = -12*z - 16. Factor z*y**2 + 2/9*y**4 + 0 + 0*y - 4/3*y**3.
2*y**2*(y - 3)**2/9
Let x(k) be the third derivative of k**6/60 + k**5/6 - 11*k**4/6 + 16*k**3/3 + 3*k**2 - 45*k. Factor x(a).
2*(a - 2)*(a - 1)*(a + 8)
Suppose 5*s - 9 = 2*s. Suppose 0 = -s*d - 2*d. Factor 0*c + 0 + 4*c + 22*c**2 + d + 10*c**3.
2*c*(c + 2)*(5*c + 1)
Let p = 41 - 38. What is c in -1 - 1 + 5*c**2 + 4 - c - p - 3*c**3 = 0?
-1/3, 1
Let m(i) = 28*i + 227. Let r be m(-8). Let d(w) be the second derivative of 0 - 3*w**r - 27/2*w**2 + 6*w - 1/4*w**4. Factor d(t).
-3*(t + 3)**2
Determine v so that -52/5*v**3 + 336/5*v**2 + 2/5*v**4 + 52/5*v - 338/5 = 0.
-1, 1, 13
Let y(g) be the third derivative of -g**7/280 + g**6/32 + g**2 + 9*g. Find d, given that y(d) = 0.
0, 5
Let x(a) be the third derivative of 2/3*a**3 + 0*a**4 + 0 - 1/20*a**6 - 23*a**2 + 0*a - 13/60*a**5. Factor x(d).
-(d + 2)*(2*d - 1)*(3*d + 2)
Let c(v) = 104*v**2 + 2*v**3 + 7*v**3 - 9*v - 9 - 111*v**2. Let p(j) = -j**3 + j**2 + j + 1. Let y(l) = 3*c(l) + 24*p(l). Factor y(m).
3*(m - 1)*(m + 1)**2
Let v(a) be the first derivative of 11*a**6/18 - 32*a**5/15 - 17*a**4/2 - 64*a**3/9 - 5*a**2/6 - 400. Let v(h) = 0. What is h?
-1, -1/11, 0, 5
Factor 21*r**4 - 68*r**3 + 164*r - 34*r**2 - 2*r**2 - r**4 + 16*r**2 - 96.
4*(r - 3)*(r - 1)**2*(5*r + 8)
Let s = -60 - -66. Let 24*h + 0*h**4 - s*h**3 + 4*h**4 - 6*h**4 + 4*h**2 + 16 = 0. Calculate h.
-2, -1, 2
Let n(b) be the first derivative of 4/7*b**2 + 4/7*b**3 + 3/14*b**4 + 10 + 1/35*b**5 + 0*b. Factor n(s).
s*(s + 2)**3/7
Let y = 5 + -3. Suppose 53 = 10*w - 67. Let y*v + 2*v**2 - 2*v**3 + 12 - 2*v**4 - w = 0. Calculate v.
-1, 0, 1
Suppose 4*z - 2*i - 18 = 0, -4*i = -3*z - 2 + 18. Factor 0*y**z - y**5 + 5*y**5 + y**4 + 4*y**3 - 9*y**4.
4*y**3*(y - 1)**2
Let w(k) = -2*k**2 - 51*k - 185. Let x be w(-21). Find s such that -x*s - 43/6*s**2 - 5*s**3 - 7/6*s**4 - 2/3 = 0.
-2, -1, -2/7
Let i(q) be the second derivative of q**5/130 + 5*q**4/26 + 16*q**3/13 - 64*q**2/13 + 568*q. Factor i(t).
2*(t - 1)*(t + 8)**2/13
Let r(g) be the first derivative of 0*g + 0*g**5 + 0*g**2 + 1/16*g**4 - 1/24*g**6 + 18 + 0*g**3. Factor r(z).
-z**3*(z - 1)*(z + 1)/4
Suppose b - 3*x = -3*b + 27, 3*x = -5*b. Factor -d**3 + 11*d**b + 420*d - 425*d - 5*d**5.
-5*d*(d - 1)**2*(d + 1)**2
Suppose 4/3*p**2 - 22/3*p + 20/3*p**3 + 10/3 - 14/3*p**4 + 2/3*p**5 = 0. Calculate p.
-1, 1, 5
Suppose -38 = -4*d + 2*d + 3*x, -4*d - 4*x + 56 = 0. Suppose -2*w + w = -4*l - 18, -4*l - d = 0. Factor 0 - 2/9*r**w - 4/9*r.
-2*r*(r + 2)/9
Factor -88*o + 6*o - 35 + 74 - 19 + 8*o**2.
2*(o - 10)*(4*o - 1)
Factor 130/3*j + 50/3 - 4/3*j**3 + 2/3*j**5 + 92/3*j**2 - 14/3*j**4.
2*(j - 5)**2*(j + 1)**3/3
Find r such that -2/7*r**5 + 22/7*r**4 - 38*r - 14 - 20/7*r**3 - 212/7*r**2 = 0.
-1, 7
Let z(y) be the third derivative of y**5/12 - 15*y**4/4 + 135*y**3/2 - 3*y**2 - 20. Let z(t) = 0. What is t?
9
Let x(r) = -r**3 - 20*r**2 - 43*r - 11. Let p be x(-2). Determine d so that 0*d - d**2 + 0 + 1/2*d**p = 0.
0, 2
Suppose 2*b - 62 + 56 = 0. Let 0 + 1/3*z - 7/6*z**2 + 1/2*z**b + 7/6*z**4 - 5/6*z**5 = 0. Calculate z.
-1, 0, 2/5, 1
Let s(o) be the first derivative of o**4/48 - o**3/24 - 25*o - 12. Let z(b) be the first derivative of s(b). Factor z(f).
f*(f - 1)/4
Let b(z) be the first derivative of 2*z**6/3 - 8*z**5/5 + z**4 + 87. Let b(d) = 0. Calculate d.
0, 1
Factor -1/5*j**3 + 0*j - 1/5*j**4 + 2/5*j**2 + 0.
-j**2*(j - 1)*(j + 2)/5
Let h(s) be the second derivative of -5*s + 0*s**2 + 0 - 1/28*s**4 - 1/14*s**3. Factor h(g).
-3*g*(g + 1)/7
Let x be 6/(-33)*(-68)/8. Let w = x + -199/143. Suppose w*u**3 - 2/13*u + 2/13*u**2 + 0 - 2/13*u**4 = 0. Calculate u.
-1, 0, 1
Let h(s) = -2*s**4 - 11*s**3 + 2*s**2 + 6*s. Let p(l) = -3*l**4 - 21*l**3 + 3*l**2 + 12*l. Let r(t) = 9*h(t) - 5*p(t). Determine o, given that r(o) = 0.
-1, 0, 1, 2
Solve 28*b**3 - 216*b + 3*b**4 - 4*b**3 + b**2 - 405 + 17*b**2 = 0 for b.
-5, -3, 3
Let z be 12/20 - 3/5. Suppose z*x - 5*x + l = -6, 0 = l - 4. Determine r so 