**2 - 20*l - 2. Factor s(t).
-4*(t + 1)**2*(t + 5)
Let n(b) be the second derivative of -b**4/18 - b**3/9 + 56*b**2/3 - 55*b - 1. Factor n(l).
-2*(l - 7)*(l + 8)/3
Suppose 0*x - 10*x - 55*x**2 + 60*x**2 + 35*x**5 + 75*x**3 + 95*x**4 = 0. Calculate x.
-1, 0, 2/7
Let m(b) = 2*b**2 + 2*b - 1. Let r be m(-2). Factor 6*k**2 + 17*k - 6*k - 11*k + k**r.
k**2*(k + 6)
Let m(g) be the second derivative of 49*g**5/20 - 7*g**4/3 + 2*g**3/3 - g - 6. Let m(f) = 0. Calculate f.
0, 2/7
Let d(b) be the second derivative of -1/150*b**6 + 0 - 12*b + 0*b**2 + 0*b**3 - 1/60*b**4 - 1/50*b**5. Factor d(j).
-j**2*(j + 1)**2/5
Determine h, given that 340/3 + 20/3*h**3 - 1025/3*h - 1345/3*h**2 = 0.
-1, 1/4, 68
Let z(h) = h**3 - 9*h**2 - 11*h + 10. Let w be z(10). Let u(m) = -m**2 - m + 3. Let g be u(w). Factor 2*q**3 - q**4 + 1 - 2*q + 3*q**2 - g*q**2.
-(q - 1)**3*(q + 1)
Let q(f) = 2*f - 6. Let u be q(3). Suppose 0 = -u*l - 4*l. Let 4*k**3 + 3*k**2 - 2*k - 2*k**4 - 2*k**3 - k**2 + l*k**4 = 0. Calculate k.
-1, 0, 1
Let i(q) be the first derivative of q**4 - 4*q**3 - 140*q**2 + 480. Solve i(f) = 0 for f.
-7, 0, 10
Let m(p) be the second derivative of p**7/21 - 13*p**6/27 + 149*p**5/90 - 37*p**4/18 + 2*p**3/3 + 4*p + 2. Determine g so that m(g) = 0.
0, 2/9, 1, 3
Suppose -4*w - w = 35. Let b be 0 + 0 - (5 + w). Factor 2*g**b - 2 + 0*g**2 - g**4 - 3 + 4.
-(g - 1)**2*(g + 1)**2
Let u(t) be the third derivative of t**10/181440 - t**8/40320 + t**4/12 - 13*t**2. Let f(p) be the second derivative of u(p). Factor f(s).
s**3*(s - 1)*(s + 1)/6
Let s(v) be the third derivative of -v**7/420 + v**6/60 - v**5/24 + v**4/24 - 76*v**2. Factor s(d).
-d*(d - 2)*(d - 1)**2/2
Let j(s) be the second derivative of s**4/84 + 5*s**3/21 - 175*s. Factor j(f).
f*(f + 10)/7
Suppose 4*u = y - 7 + 2, y - 3*u = 5. What is n in 41*n**5 + 29*n**5 - 6*n**3 + 60*n**2 - 35*n - 250*n**4 - 10 + 35*n**y + 136*n**3 = 0?
-1/3, -2/7, 1
Let 35/9*c**2 + 11/3 - 1/9*c**3 - 67/9*c = 0. What is c?
1, 33
Let r(g) be the third derivative of g**7/315 - g**6/20 + g**5/6 - 7*g**4/36 + 363*g**2. Factor r(w).
2*w*(w - 7)*(w - 1)**2/3
Find n, given that 36 + 20 + 147*n - 4*n**2 + 13*n + 118 - 10 = 0.
-1, 41
Let k(w) = w - 6. Let z be k(8). Suppose -2*x + x + z = 0. Suppose 2*j**2 - j**3 + 4*j**x + 4*j**3 = 0. Calculate j.
-2, 0
Let q(b) be the second derivative of 2*b**7/21 - 6*b**6/5 + 21*b**5/5 - 19*b**4/3 + 4*b**3 - 4*b + 4. Factor q(v).
4*v*(v - 6)*(v - 1)**3
Suppose -44/3 - 7/3*h**4 + 37*h**2 - 68/3*h**3 + 128/3*h = 0. Calculate h.
-11, -1, 2/7, 2
Let l(j) be the third derivative of -1/8*j**6 - 43*j**2 + 0*j - 1/70*j**7 + 0*j**3 + 0 - 7/8*j**4 + 13/20*j**5. Find k such that l(k) = 0.
-7, 0, 1
Suppose 2/3*r**2 + 32*r + 94/3 = 0. Calculate r.
-47, -1
Let j(u) = u**3 - 3*u**2 + 6. Let g be j(2). Factor 0*l - 18*l**g + 0*l + 12*l**2 + 3*l**3.
3*l**2*(l - 2)
Suppose -21 - 14 = -7*k. Let w(a) be the second derivative of 0*a**2 + 1/70*a**7 + 0*a**3 - 3/50*a**6 + 9/100*a**k + 0 - 1/20*a**4 + 4*a. Factor w(b).
3*b**2*(b - 1)**3/5
Let m(z) be the second derivative of -z**5/16 - 35*z**4/6 - 545*z**3/24 - 135*z**2/4 - 168*z. Suppose m(i) = 0. What is i?
-54, -1
Let o be 50/225*(-3)/(-3). Factor 1/9*i**3 + 0 - o*i**2 + 1/9*i.
i*(i - 1)**2/9
Let o(k) be the third derivative of k**9/5040 - k**8/560 + k**7/168 - k**6/120 - k**4/12 + 4*k**2. Let a(r) be the second derivative of o(r). Solve a(j) = 0.
0, 1, 2
Let n(i) be the first derivative of i**6/12 - 3*i**5/5 + 9*i**4/8 - 2*i**3/3 - 192. Suppose n(s) = 0. Calculate s.
0, 1, 4
Let n(u) be the first derivative of -u**8/420 + u**7/70 - u**6/45 + 50*u**3/3 + 28. Let s(l) be the third derivative of n(l). Find y such that s(y) = 0.
0, 1, 2
Let k = 18 + -14. Suppose -k*q = -4*v + 28, 0 = -3*v - q - 4*q + 13. Factor 3*n**3 + 2*n**3 - v*n**3 + n**2.
-n**2*(n - 1)
Let r be (-1 - 2180/(-12))/((-10)/6). Let v = -108 - r. Factor 0*k + 2/5 + 0*k**3 + v*k**4 - 4/5*k**2.
2*(k - 1)**2*(k + 1)**2/5
Factor 0 + 0*b + 116/23*b**2 + 2/23*b**3.
2*b**2*(b + 58)/23
Factor -45/2 + 13/4*u**3 + 123/4*u - 1/4*u**4 - 61/4*u**2.
-(u - 5)*(u - 3)**2*(u - 2)/4
Let l(p) = p + 30. Let a be l(-23). Let t be -2 - (-12)/a - (-22)/14. Factor 6/7*c - 1/7*c**2 - t.
-(c - 3)**2/7
Let a(g) be the second derivative of 0 - 2*g**2 - 7/36*g**4 - 8/9*g**3 - 1/60*g**5 + 6*g. Factor a(m).
-(m + 2)**2*(m + 3)/3
Let k(j) = 3*j**4 + 9*j**3 - 6*j**2 - 18*j + 6. Let g(w) = 5*w**4 + 18*w**3 - 11*w**2 - 35*w + 11. Let r(s) = 6*g(s) - 11*k(s). Find z, given that r(z) = 0.
-1, 0, 2
Let t(b) be the third derivative of b**5/45 + 2*b**4/9 - 8*b**3/3 + 11*b**2 - 3. Factor t(w).
4*(w - 2)*(w + 6)/3
Let m(o) be the first derivative of -o**6/180 + o**5/150 + o**4/20 + o**3/3 - 9. Let f(c) be the third derivative of m(c). Determine q so that f(q) = 0.
-3/5, 1
Suppose -4*o = -t - 12, 21*t + 3*o - 9 = 20*t. Factor t + 3/5*g**3 + 0*g**2 + 0*g.
3*g**3/5
Let t be (-15 + 1)/((-63)/18). Factor 1/4*w**2 + 1/4*w**3 - 1/4*w**t + 0 - 1/4*w.
-w*(w - 1)**2*(w + 1)/4
Let k(d) = -d**2 + 4. Let o be k(0). Let u be 24/(-15) + (-4)/o*-2. Solve 6/5*a**2 + 2*a - 2*a**3 - 8/5*a**4 + u = 0 for a.
-1, -1/4, 1
Let r = 873 + -871. Factor -25/3 - 10/3*o - 1/3*o**r.
-(o + 5)**2/3
Let i(f) = 6*f**3 - 2*f**2 + 0*f - 4 + 0 - 2 - 14*f. Let q(o) = -13*o**3 + 3*o**2 + 27*o + 11. Let m(w) = -7*i(w) - 4*q(w). Suppose m(y) = 0. Calculate y.
-1, -1/5, 1
Let n(b) = -5*b**2 - 2110*b - 112370. Let u(w) = 2*w**2 + 1054*w + 56186. Let k(y) = 3*n(y) + 5*u(y). Suppose k(o) = 0. What is o?
-106
Let i(d) = d**4 + d**2 + 1. Let l(c) = -8*c**4 + 32*c**3 + 76*c**2 + 96*c + 24. Let x(b) = -12*i(b) - l(b). Factor x(s).
-4*(s + 1)**2*(s + 3)**2
Let g = -9368/5 + 1874. Suppose -z + 3/5*z**2 - g = 0. Calculate z.
-1/3, 2
Let x be 6*((-13)/(-18) - 6/27). Solve -6*m**x - 4*m**2 + 0*m**3 + 4*m**2 + 6*m + 3*m**4 - 3 = 0 for m.
-1, 1
Let j(n) be the second derivative of -n**5/10 + 2*n**4/3 - 4*n**3/3 - 51*n. What is v in j(v) = 0?
0, 2
Factor -56*l**2 - 24*l**2 - 4*l**4 - 5522 - 38*l**3 + 50*l + 5522.
-2*l*(l + 5)**2*(2*l - 1)
Let h = -731/6 + 122. Let r(d) be the first derivative of h*d**6 - 1/12*d**4 + 0*d**2 - 2/15*d**5 - 5 + 0*d + 0*d**3. Determine m, given that r(m) = 0.
-1/3, 0, 1
Let u(t) be the second derivative of -1/3*t**4 + 1/21*t**7 + 0 + 0*t**6 + 4*t + t**3 - 2/5*t**5 + 2*t**2. Factor u(s).
2*(s - 2)*(s - 1)*(s + 1)**3
Let a(p) be the third derivative of 0*p - p**2 + 0 + 3/16*p**4 + 5/6*p**3 - 1/120*p**5. Factor a(k).
-(k - 10)*(k + 1)/2
Let q = 3218 - 3216. Suppose -1/5*k + 0 - 1/10*k**q = 0. Calculate k.
-2, 0
Let h be (-182)/156 + 1682/84. Determine s, given that -h*s - 726/7 - 6/7*s**2 = 0.
-11
Let k(f) = -5*f**2 + 249*f - 246. Let t(o) = 23*o**2 - 995*o + 981. Let r(u) = -9*k(u) - 2*t(u). Suppose r(j) = 0. Calculate j.
-252, 1
Let v(w) be the third derivative of w**5/150 + w**4/15 + w**3/5 - 11*w**2 + 18*w. Factor v(j).
2*(j + 1)*(j + 3)/5
Factor -74/7*h**2 + 24/7*h**3 - 4/7 + 54/7*h.
2*(h - 2)*(h - 1)*(12*h - 1)/7
What is f in 0*f - 1/3*f**5 + 0*f**2 + 4*f**4 + 0*f**3 + 0 = 0?
0, 12
Suppose -3*x = 2*u - 12, -4*x - 2 + 10 = 0. Determine m, given that -12 + 32*m**2 - 5 - 14*m**4 + 17 + 10*m**u + 8*m = 0.
-1, -2/7, 0, 2
Let c(l) be the first derivative of -2*l**6/15 + l**5/5 + l**4/3 - 2*l**3/3 - 16*l - 2. Let u(w) be the first derivative of c(w). Factor u(r).
-4*r*(r - 1)**2*(r + 1)
Suppose 2*m = 4*z - 24, -3*z - m + 18 = -0*z. Let 2 - z + g**2 + g**2 - 6*g**2 - 8*g = 0. What is g?
-1
Let w(s) = -35*s**3 - 15*s**2 - 15*s - 15. Let k(o) = -5*o**3 - 2*o**2 - 2*o - 2. Let p = 23 - 38. Let x(z) = p*k(z) + 2*w(z). Factor x(r).
5*r**3
Let o(v) be the second derivative of v**8/480 - v**7/252 - v**6/180 - 2*v**4 + 9*v. Let p(i) be the third derivative of o(i). Factor p(k).
2*k*(k - 1)*(7*k + 2)
Let y(d) = -17*d**5 + 77*d**4 + 60*d**3 - 55*d**2. Let b(t) = -11*t**5 + 51*t**4 + 40*t**3 - 37*t**2. Let c(n) = -7*b(n) + 5*y(n). Solve c(v) = 0 for v.
-1, 0, 1/2, 4
Let r(b) be the first derivative of -3/4*b**4 - 4*b**3 - 15/2*b**2 - 9 - 6*b. Suppose r(n) = 0. Calculate n.
-2, -1
Let c(p) be the third derivative of 0*p - 1/12*p**4 + 3*p**2 + 0 - 1/6*p**3 - 1/60*p**5. What is l in c(l) = 0?
-1
Let k(n) be the third derivative of 1/120*n**5 + 0*n**3 + 11*n**2 + 0 + 0*n - 1/16*n**4. Determine j, given that 