+ 0 + 6/11*w**r + o*w**2 = 0 for w.
-1, -2/3, 0
Let n(x) = x**3 + x**2 - 2*x + 1. Let z(v) = -9*v**3 - 9*v**2 + 21*v - 11. Let s(m) = 40*n(m) + 5*z(m). Factor s(w).
-5*(w - 1)**2*(w + 3)
Let l(o) be the second derivative of o**6/300 + o**5/50 - 4*o**3/15 - 17*o**2/2 + 9*o. Let n(a) be the first derivative of l(a). Suppose n(p) = 0. Calculate p.
-2, 1
Factor 49 - 2*h**2 - 60 + 14*h + 27 + 0*h**2.
-2*(h - 8)*(h + 1)
Let h(t) = -t**2 - 3*t - 1. Let v(y) = -y**2 - 6*y - 2. Let i(c) = -5*h(c) + 3*v(c). Let o be i(-1). Factor 0*l + 0 - 2/11*l**2 + 2/11*l**o + 0*l**3.
2*l**2*(l - 1)*(l + 1)/11
Factor -14/5*w**2 + 138/5*w - 234/5 - 2/5*w**3.
-2*(w - 3)**2*(w + 13)/5
Let p(y) be the second derivative of -4/3*y**3 + 0*y**2 + 4*y + 1/6*y**4 + 0. Factor p(b).
2*b*(b - 4)
Let s(z) be the first derivative of z**6/6 + 4*z**5/5 + 3*z**4/4 - 4*z**3/3 - 2*z**2 - 61. Factor s(g).
g*(g - 1)*(g + 1)*(g + 2)**2
Suppose -2*b - 221 = 3*b + 3*w, -4*b = -3*w + 166. Let g = b - -48. Factor 0*r - 6/7*r**4 - 2/7*r**g - 6/7*r**3 + 0 - 2/7*r**2.
-2*r**2*(r + 1)**3/7
Let r(h) be the first derivative of 1/3*h**3 - 18 + 0*h + 0*h**4 + 1/12*h**6 - 1/5*h**5 - 1/4*h**2. Factor r(l).
l*(l - 1)**3*(l + 1)/2
Let h(g) = g + 21. Let b be h(-16). Factor b*y**3 - 22*y**3 - 32*y - 48*y**2 - 2*y**4 - y**3.
-2*y*(y + 1)*(y + 4)**2
Suppose -18*t + 6*t = 0. Let b(v) be the third derivative of -1/9*v**4 + 0*v + 0*v**3 + t + 1/45*v**5 + 1/90*v**6 - v**2. Factor b(r).
4*r*(r - 1)*(r + 2)/3
Let -80 - 104/3*c**3 - 592/3*c - 460/3*c**2 + 4/3*c**4 = 0. Calculate c.
-2, -1, 30
Let q(w) be the third derivative of -w**7/420 + w**6/48 + w**5/40 - 13*w**4/48 - 5*w**3/6 - 658*w**2. Factor q(d).
-(d - 5)*(d - 2)*(d + 1)**2/2
Suppose -4*w - 3*y = -6*y - 27, -4*w - 3*y = 3. Let p(f) be the first derivative of -2/9*f**w - 3 - 6*f - 2*f**2. Let p(o) = 0. What is o?
-3
Let w(q) be the third derivative of -72/7*q**4 - 17*q**2 - 1/735*q**7 - 432/7*q**3 + 0 - 36/35*q**5 - 2/35*q**6 + 0*q. What is i in w(i) = 0?
-6
Suppose -6/7 + 2/7*j**3 - 10/7*j**2 + 2*j = 0. What is j?
1, 3
Let d(h) = -h**2 + h - 3. Let w(c) = 3*c**3 + 15*c**2 + 4*c + 8. Let b(n) = -12*d(n) - 3*w(n). Let b(j) = 0. Calculate j.
-2, 1/3
Let g(d) be the first derivative of 7*d**6/6 + 33*d**5 - 132*d**4/7 - 580*d**3/21 - 48*d**2/7 + 445. Determine j so that g(j) = 0.
-24, -2/7, 0, 1
Let b(r) = -r**2 - 32*r + 55. Let v be b(-24). Find l such that 2*l**2 + 17*l - 31*l - 26*l + v - 47 = 0.
10
Let h(u) be the first derivative of -3*u**2 + 1/44*u**4 + 0*u**3 - 1 + 0*u - 1/330*u**5. Let d(j) be the second derivative of h(j). Factor d(w).
-2*w*(w - 3)/11
What is w in -4/7 + 10/7*w + 2*w**2 = 0?
-1, 2/7
Factor -w**2 + 0*w**4 - 3/2*w**3 + 0 + 0*w + 1/2*w**5.
w**2*(w - 2)*(w + 1)**2/2
Let o(k) = 2*k**3 - 12*k**2 + 2. Let x be o(6). Suppose -96*g + 12*g**x + 74 - 4*g**3 + 24*g**2 - 30 + 20 = 0. Calculate g.
1, 4
Let u = -2433 - -2438. Let b(w) be the third derivative of 7*w**2 + 0 - 3/11*w**3 + 0*w + 1/22*w**4 - 1/330*w**u. Solve b(i) = 0.
3
Suppose -5*b = 4*b. Suppose 5*q - 10 = -b. Factor -8*h - 4*h**3 + 3*h**3 - 2*h**2 + 16 - 5*h**q.
-(h - 1)*(h + 4)**2
Let n = 74 + -56. Let u be ((-4)/n)/(18/(-18)). Factor 0*c + 2/9*c**2 - u.
2*(c - 1)*(c + 1)/9
Let g(l) be the first derivative of l**2 - 8*l - 4. Let o be g(7). Determine s so that -3*s + 2*s**5 + 12*s**4 - 6*s**2 - o*s**4 + s**5 = 0.
-1, 0, 1
Let n be -4 + (-176)/(-32) - (1 + 0). Find q, given that 1/2*q**2 + n + q = 0.
-1
Let q(d) be the third derivative of d**5/5 + 2*d**4/3 + 57*d**2 + 2*d. Solve q(j) = 0 for j.
-4/3, 0
Suppose -50*s - 4 = -51*s. Solve 6*g**3 + 642*g**4 - 642*g**s - 2*g**5 + 4*g**2 = 0.
-1, 0, 2
Let n(s) be the first derivative of -2*s**6 - 15*s**5 - 81*s**4/2 - 52*s**3 - 33*s**2 - 9*s - 183. Let n(a) = 0. Calculate a.
-3, -1, -1/4
Suppose -m + 2*q = q, 5*m = -3*q + 32. Factor 0*a - 3/2*a**3 + 3/2*a**5 + 0 - 3/2*a**m + 3/2*a**2.
3*a**2*(a - 1)**2*(a + 1)/2
Let k(p) be the third derivative of 0 + 81/20*p**5 + 0*p**3 - 27/4*p**4 + 0*p - 38*p**2 - 9/8*p**6 - 1/112*p**8 + 11/70*p**7. Find y such that k(y) = 0.
0, 2, 3
Suppose -4*y = -2*y + 12. Let t be -2 + (y/(-1))/(27/18). Suppose -1/6*f + 1/3 - 1/6*f**t = 0. What is f?
-2, 1
Let z(o) be the third derivative of 0 - 10*o**2 - 1/24*o**4 + 1/20*o**5 + 0*o + 1/120*o**6 - 1/210*o**7 - 1/3*o**3. Factor z(h).
-(h - 2)*(h - 1)*(h + 1)**2
Let b(z) be the first derivative of -z**4/10 + z**3/5 + z**2/5 - 3*z/5 + 9. Factor b(n).
-(n - 1)*(n + 1)*(2*n - 3)/5
Let s be (-6)/(-5)*10640/1428 + -8. Determine n, given that -2/17*n**2 + 4/17*n - 10/17*n**4 - s*n**3 + 0 = 0.
-1, 0, 2/5
Let q(s) be the first derivative of s**5/140 + s**4/56 - 9*s**2 + 6. Let x(y) be the second derivative of q(y). Determine w, given that x(w) = 0.
-1, 0
Let k(a) be the first derivative of a**9/25704 - a**8/14280 + 4*a**3/3 + 2. Let g(d) be the third derivative of k(d). Determine n so that g(n) = 0.
0, 1
Let c be 92/(-70) + 928/580. What is o in 18/7*o**2 + 0 + 2*o**4 - 30/7*o**3 - c*o**5 + 0*o = 0?
0, 1, 3
Let f = 10/69 - 4/345. Let p(w) be the first derivative of 0*w**2 + f*w - 1 - 2/45*w**3. Solve p(h) = 0 for h.
-1, 1
Let t = 4558/11345 + -4/2269. Find y, given that 4/5*y - 2/5*y**2 - t = 0.
1
Factor 33/8*c**3 - 27/2*c**2 - 3/8*c**4 + 24 + 6*c.
-3*(c - 4)**3*(c + 1)/8
Suppose 9*m + 6 = 24. Let s(t) be the second derivative of 0*t**4 + 0 - 1/24*t**3 + 0*t**m + 2*t + 1/80*t**5. Solve s(r) = 0.
-1, 0, 1
Let r(w) be the first derivative of -4*w**5/5 - 49*w**4 + 200*w**3/3 + 211. Let r(l) = 0. What is l?
-50, 0, 1
Let t(j) be the third derivative of -3/40*j**6 + 0*j - 9/8*j**4 - j**3 - 1/2*j**5 - 10*j**2 + 0. Factor t(b).
-3*(b + 1)*(b + 2)*(3*b + 1)
Let y(g) be the second derivative of 2*g**6/45 - g**5/30 - g**4/4 - 11*g**3/36 - g**2/6 + 47*g. Solve y(t) = 0.
-1/2, 2
Let g be ((-2)/(-1 + 5))/((-17)/(-68)). Let l be (g + 1)/(-8) - 26/(-16). Solve 0 - 5/4*u**2 - 1/2*u + l*u**3 = 0.
-2/7, 0, 1
Let 12*c**2 - 15*c + 5*c**4 - 3*c**4 - 20*c**3 - 29*c - 1 + 36*c**2 + 15 = 0. Calculate c.
1, 7
Let d(v) be the third derivative of v**9/45360 + v**8/6720 + v**7/3780 + 7*v**4/24 - 6*v**2. Let b(s) be the second derivative of d(s). Let b(j) = 0. What is j?
-2, -1, 0
Let u(n) = 7*n - 5*n - 6*n. Let l be u(0). Find i, given that -1/6*i + 1/6*i**2 + l = 0.
0, 1
Let u(o) be the second derivative of -4/3*o**4 + 1/5*o**5 + 0*o**2 - 6*o + 2*o**3 + 0. Determine c, given that u(c) = 0.
0, 1, 3
Let c(x) = 11*x + 165. Let f be c(-15). Let g(s) be the first derivative of f*s**2 - 1/3*s**3 + s - 2. Factor g(p).
-(p - 1)*(p + 1)
Let h = 804 - 562. Factor 5*a**2 + h + 9*a + 13*a - 222 + 3*a.
5*(a + 1)*(a + 4)
Let u(r) = 10*r + 0*r - 4 - 5*r**2 - 2*r**2. Let y(w) = 36*w**2 - 51*w + 21. Let a(x) = -21*u(x) - 4*y(x). Factor a(p).
3*p*(p - 2)
Let c(q) be the second derivative of q**7/840 - q**6/96 + 7*q**5/240 - q**4/32 - 10*q**2 - 16*q. Let l(o) be the first derivative of c(o). Factor l(t).
t*(t - 3)*(t - 1)**2/4
Let q(b) be the second derivative of -b**6/30 + 79*b**5/30 + 217*b**4/36 - 26*b**3/9 - 18*b**2 + 191*b. Solve q(l) = 0.
-1, 2/3, 54
Let v(r) be the first derivative of -3*r**5/5 - 45*r**4/4 - 38*r**3 - 36*r**2 - 143. Factor v(k).
-3*k*(k + 1)*(k + 2)*(k + 12)
Let j(d) be the second derivative of -d**7/28 - 29*d**6/120 + d**5/16 - 355*d. Find z such that j(z) = 0.
-5, 0, 1/6
Let y(v) = -v**4 - 2*v**3 + 1. Let t(k) = 5*k**4 + 17*k**3 + 21*k**2 + 3*k + 2. Let u(b) = -3*t(b) + 12*y(b). Solve u(a) = 0 for a.
-1, 2/9
Let 48/5 + 2/5*t**2 - 4*t = 0. What is t?
4, 6
Let u(h) be the second derivative of 7*h - 1/2*h**3 + 1/12*h**4 - 2*h**2 + 0. Factor u(j).
(j - 4)*(j + 1)
Let l(n) = -n**2 + 904*n + 3634. Let o be l(-4). Find z, given that -3/4*z**o + 0 - 3/2*z = 0.
-2, 0
Let y = -164/5 - -3941/120. Let t(x) be the first derivative of 1/16*x**4 + y*x**3 - 1/8*x**2 - 1/8*x + 1. Determine s, given that t(s) = 0.
-1, -1/2, 1
Let c(n) = -n**2 + 2*n - 1. Let m(r) = 10*r**2 - 13*r + 11. Let j(y) = -22*c(y) - 2*m(y). Determine p, given that j(p) = 0.
0, 9
Let q(s) = -27*s**3 - 18*s**2 + 27*s - 6. Let k(z) = -z - 18. Let c be k(-6). Let f(p) = p**2 + 1. Let h(y) = c*f(y) - q(y). Solve h(d) = 0.
-1, -2/9, 1
Factor -1/6*l**2 - 19/2*l - 28/3.
-(l + 1)*(l + 56)/6
Let s(y) be the first derivative of -y**5/30 - y**4/12 +