 q(s) = -27*s**3 - 38*s**2 - 29*s + 8. Let p(z) = -13*z**3 - 19*z**2 - 14*z + 4. Let x(l) = -13*p(l) + 6*q(l). Solve x(h) = 0 for h.
-2, -1, 2/7
Factor 9*s + 3*s - 16*s + 8 - 4*s**2.
-4*(s - 1)*(s + 2)
Let w = 27 - 25. Let b(v) be the third derivative of 1/12*v**3 + v**w - 1/240*v**6 + 0 - 1/16*v**4 + 1/40*v**5 + 0*v. Factor b(n).
-(n - 1)**3/2
Suppose -b + 18 = -0*b - 5*h, 3*b = 3*h + 18. Let l(t) be the third derivative of -2*t**2 - 2*t**b + 0 - 1/4*t**5 - 1/40*t**6 + 0*t - t**4. Factor l(g).
-3*(g + 1)*(g + 2)**2
Factor 3/5*k**4 + k**3 - 2/5 - 1/5*k**2 - k.
(k - 1)*(k + 1)**2*(3*k + 2)/5
Let u(y) = y**3 + y**2 + y + 1. Let i(l) = 11*l**3 + 13*l**2 + 9*l + 7. Let f(k) = 5*i(k) - 40*u(k). What is b in f(b) = 0?
-1, 1/3
Let z(r) = 4*r**2 + r. Let j be z(1). Suppose 2*c - 12 = -4*v, 16 - 1 = j*v - 2*c. Solve 4*m**3 - v*m**3 - 2*m + 3*m + 2*m**2 = 0 for m.
-1, 0
Let i be 2/12 + (-85)/(-30). Factor -2*a**2 - 2*a**2 - 2*a**3 + 3*a**i + 2*a + a**3.
2*a*(a - 1)**2
Let i(x) = x + 1. Let g be i(2). Let a(m) be the third derivative of 1/24*m**4 + 0*m + 3*m**2 + 0 - 1/60*m**5 + 0*m**g. Let a(o) = 0. Calculate o.
0, 1
Let d(o) = o**2 - 2*o - 1. Let i be d(3). Suppose 7*q - 10 = 2*q. Find r, given that i*r**3 - 4*r**5 - 2*r**3 + 2*r**q + 10*r**4 - 8*r**3 = 0.
0, 1/2, 1
Let d(s) be the first derivative of -45*s**4 + 220*s**3 - 725*s**2/2 + 250*s - 9. Factor d(b).
-5*(b - 2)*(6*b - 5)**2
Let p = 5 + -2. Let h(j) be the second derivative of -1/110*j**5 + 1/66*j**4 + 0 + 1/33*j**p - 2*j - 1/11*j**2. What is n in h(n) = 0?
-1, 1
Factor -73*i + 84*i - 1 + i**3 - 4 - 7*i**2.
(i - 5)*(i - 1)**2
Let o = -10 - -17. Let w be 1/3 - o/(-15). Factor -w*k**2 - 2/5 + 1/5*k**3 + k.
(k - 2)*(k - 1)**2/5
Let u(y) = y**2 + 2*y - 2. Let x be u(-4). Let h = x + 1. Factor h*a - 2*a - 2*a**3 - 3*a.
-2*a*(a - 1)*(a + 1)
Let m(x) be the first derivative of 9*x**6/160 + 3*x**5/80 - x**4/4 - x**3/2 - x**2/2 + 2. Let r(j) be the second derivative of m(j). Factor r(a).
3*(a - 1)*(3*a + 2)**2/4
Let y = 841/3396 - -2/849. Factor -1/4*j**2 + 0*j + 0 + y*j**3.
j**2*(j - 1)/4
Let m(f) be the third derivative of -f**8/2352 + f**7/735 + 6*f**2. Factor m(n).
-n**4*(n - 2)/7
Let q(y) be the third derivative of -2*y**7/105 + 2*y**5/15 - 2*y**3/3 + 43*y**2. Factor q(i).
-4*(i - 1)**2*(i + 1)**2
Suppose -l = -3*l. Suppose l*s = -4*s. Factor -2/5*r**4 + 0*r**2 + 0*r**3 + 0*r + s + 2/5*r**5.
2*r**4*(r - 1)/5
Let i be -1*(0 - -1)*1. Let u(k) = -k**4 + k - 1. Let q(x) = 5*x**4 + 2*x**3 + x**2 - 4*x + 4. Let n(h) = i*q(h) - 4*u(h). Factor n(g).
-g**2*(g + 1)**2
Let v(w) = w. Let z(s) = -2*s**3 + 4*s**2 - 7*s. Let n(h) = -h**2 - 8*h - 8. Let f be n(-7). Let u(y) = f*z(y) - 5*v(y). What is a in u(a) = 0?
0, 1
Suppose -16*c + 28 + 20 = 0. Suppose 6/5*k**c - 9/5*k + 6/5*k**2 - 9/5*k**4 + 3/5 + 3/5*k**5 = 0. Calculate k.
-1, 1
Let w be (-3)/((-1)/4*-474). Let s = 391/158 - w. Factor 0 + x + 3/2*x**3 - s*x**2.
x*(x - 1)*(3*x - 2)/2
Let q(g) = g**2 - 6*g - 37. Let l be q(10). Factor 0 + 0*y**2 - 1/7*y + 1/7*y**l.
y*(y - 1)*(y + 1)/7
Let p be ((-8)/(-36))/(4 + -2)*6. Let l(y) be the first derivative of -4/7*y + p*y**3 + 2 + 5/7*y**2. What is x in l(x) = 0?
-1, 2/7
Let n(j) be the third derivative of -j**7/420 - j**6/240 + j**5/60 - 52*j**2. Factor n(q).
-q**2*(q - 1)*(q + 2)/2
Let n(s) = -19*s**5 + 7*s**4 - 2*s**3 - 7*s**2 - 7*s + 7. Let v(u) = -9*u**5 + 4*u**4 - u**3 - 3*u**2 - 3*u + 3. Let q(f) = 3*n(f) - 7*v(f). Factor q(k).
k**3*(k - 1)*(6*k - 1)
Let 0 - 1/5*d**3 - 1/5*d - 2/5*d**2 = 0. What is d?
-1, 0
Let w(i) be the second derivative of 1/9*i**3 + 1/9*i**4 + 3*i + 0*i**2 + 1/30*i**5 + 0. Factor w(k).
2*k*(k + 1)**2/3
Let i = -11 + 15. Find c such that 0*c**3 + c**i - 2*c**4 - c - 3*c**2 - 3*c**3 + 0*c**2 = 0.
-1, 0
Suppose 2*v = -2*v. Let t(j) be the first derivative of 0*j + 2 + v*j**2 + 1/2*j**4 + 1/3*j**3 + 1/5*j**5. Factor t(z).
z**2*(z + 1)**2
Factor -p - 1 - 1/4*p**2.
-(p + 2)**2/4
Let v(f) be the third derivative of f**7/1365 + f**6/780 - f**5/78 + f**4/52 + 17*f**2. Find k such that v(k) = 0.
-3, 0, 1
Let y(j) be the second derivative of j**6/660 - j**5/165 + j**4/132 + 3*j**2/2 + 4*j. Let m(q) be the first derivative of y(q). Let m(r) = 0. Calculate r.
0, 1
Factor 4/5*i + 2/5 + 2/5*i**2.
2*(i + 1)**2/5
Let v(s) be the second derivative of 27/4*s**3 + 0 + 5*s - 81/4*s**2 + 3/40*s**5 - 9/8*s**4. Solve v(l) = 0 for l.
3
Solve -89*d - 31*d - 292 - 5*d**2 - 428 = 0 for d.
-12
Let o = 3/17 - -47/119. Suppose 28*n = 29*n - 2. Factor 10/7*a**3 + o*a + n*a**2 + 0.
2*a*(a + 1)*(5*a + 2)/7
Let m(r) be the second derivative of -r**6/720 - r**5/80 - r**4/24 + r**3/2 + 3*r. Let v(i) be the second derivative of m(i). Factor v(h).
-(h + 1)*(h + 2)/2
Let d(c) be the first derivative of 2/7*c**2 - 2/21*c**3 - 3 + 6/7*c. Factor d(u).
-2*(u - 3)*(u + 1)/7
Let z(l) be the third derivative of l**7/105 - l**6/15 + l**5/6 - l**4/6 + 8*l**2. Factor z(n).
2*n*(n - 2)*(n - 1)**2
Suppose -3 = 6*z - 3. Factor -4/9*f + 2/9*f**3 + 2/9*f**2 + z.
2*f*(f - 1)*(f + 2)/9
Suppose 16/13 - 12/13*c**4 + 22/13*c**3 - 24/13*c - 4/13*c**2 + 2/13*c**5 = 0. What is c?
-1, 1, 2
Suppose 4/7*t**4 + 24/7*t**3 + 104/7*t - 36/7 - 96/7*t**2 = 0. Calculate t.
-9, 1
Solve -1/4*m**2 + 0 - 1/4*m = 0.
-1, 0
Let f(v) be the second derivative of -v**7/63 + 7*v**6/45 - v**5/3 - v**4/9 + 11*v**3/9 - 5*v**2/3 - 35*v. Let f(j) = 0. What is j?
-1, 1, 5
Let l be (10/(-15))/((-4)/6). Let w(q) be the first derivative of 0*q**4 + 0*q**3 + 0*q + 1/10*q**5 - l + 0*q**2. Factor w(u).
u**4/2
Suppose -p + 0 = -4. Suppose 8*t - 3*t + 4*w - 2 = 0, -2*t + p*w + 12 = 0. Determine u so that t*u - 3*u**4 - 2*u + u**3 - u + u**2 + 2*u**4 = 0.
-1, 0, 1
Let g(i) be the third derivative of 1/20*i**5 + 0 + 0*i**4 + 0*i + 1/40*i**6 - i**2 + 0*i**3. Suppose g(u) = 0. What is u?
-1, 0
Let t(r) = -r**3 - 7 + 0*r + 6*r + r + 4*r**2. Let j be t(5). Factor 2*g - 11*g**j - 8*g**4 - 4*g**2 - g**3 - 2*g**3.
-2*g*(g + 1)**2*(4*g - 1)
Let l(h) = -11*h**3 - 13*h**2 - 23*h - 6. Let n(t) = 39*t**3 + 45*t**2 + 81*t + 21. Let v(p) = -18*l(p) - 5*n(p). Determine x so that v(x) = 0.
-1
Let f be -3*(-14)/105 + 0. Let 24/5*r + 12/5*r**2 + 16/5 + f*r**3 = 0. What is r?
-2
Let m(p) be the first derivative of p**4/16 - p**3/3 + 11. Factor m(r).
r**2*(r - 4)/4
Suppose 0 = -b + 5 - 3. Let 3*f - 12*f + 3 + 9*f**b - 7*f**3 + 4*f**3 = 0. What is f?
1
Find d, given that -2/7*d + 0 - 2/7*d**2 = 0.
-1, 0
Let y(d) = d**2 - 14*d - 11. Let x be y(15). Let o(p) be the first derivative of 1/3*p**3 + 1/10*p**x + 0*p + 1 - 1/5*p**2 - 1/5*p**5. Factor o(j).
-j*(j - 1)*(j + 1)*(5*j - 2)/5
Let k(x) be the third derivative of -3*x**8/560 - x**7/280 + x**6/40 + x**5/40 - 5*x**3/6 - x**2. Let s(i) be the first derivative of k(i). Factor s(z).
-3*z*(z - 1)*(z + 1)*(3*z + 1)
Let i(r) be the first derivative of r**8/6720 - r**7/1680 + r**6/1440 - r**3/3 - 2. Let y(a) be the third derivative of i(a). Factor y(k).
k**2*(k - 1)**2/4
Let g be ((-4)/108)/((-2)/12). Let b(c) be the first derivative of -1/15*c**5 + 2/9*c**3 - 2/3*c**2 - g*c**6 + 2/3*c**4 + 1 - 1/3*c. Solve b(i) = 0.
-1, -1/4, 1
Let j be -3 + (2/1)/((-4)/(-10)). Determine n, given that -1/2 + 1/4*n**3 - 1/4*n**4 + 3/4*n**j - 1/4*n = 0.
-1, 1, 2
Let d be 5*(-1 + 8/5). Factor 2*n**2 + 2*n**4 + 0*n**2 + 8*n**4 + 9*n**3 - d*n**4.
n**2*(n + 1)*(7*n + 2)
Let k(d) be the first derivative of -7*d**3/9 + d**2/3 + 11. Factor k(z).
-z*(7*z - 2)/3
Let n = -5/19 + 39/76. Factor 1/4 + n*u**2 - 1/2*u.
(u - 1)**2/4
Let p(v) = 2*v**2 - 3 - 8*v + 7 + 1. Let w(s) = -2*s**2 + 8*s - 6. Let d(n) = -2*p(n) - 3*w(n). Suppose d(i) = 0. Calculate i.
2
Let n(a) be the first derivative of a**6/12 + a**5/5 - a**3/3 - a**2/4 - 2. Determine c so that n(c) = 0.
-1, 0, 1
Let u be -1 - (-1)/((-3)/12). Let f(b) = -3*b - 15. Let h be f(u). Factor -2/5*i**4 + h + 2/5*i**3 + 0*i + 0*i**2.
-2*i**3*(i - 1)/5
Let o = 178 - 176. What is x in 8/5*x**o - 2/5*x**5 + 4/5*x**3 - 2/5*x - 4/5*x**4 - 4/5 = 0?
-2, -1, 1
Let g be ((-2)/16)/(6/(-88)). Let m = -106 + 110. What is n in 7/6*n**2 - 5/6*n**m + g*n**3 - 2/3*n**5 - 7/6*n - 1/3 = 0?
-2, -1, -1/4, 1
Let n(s) be the first derivative of s**4/26 + 2*s**3/39 - s**2/13 - 2*s/13 - 2. Factor n(v).
2*(v - 1)*(v + 1)**2/13
Let m be 4/6 - (-628)/18. Factor -m*g +