*z**3 - z**2. Let l(u) = g(u) + 4*k(u). Factor l(v).
2*(v - 9)*(v - 2)*(v + 1)
Let n(k) be the second derivative of 0*k**2 + 0*k**3 - 24*k + 1/3*k**6 - 5/42*k**7 + k**5 + 0 - 10/3*k**4. Factor n(c).
-5*c**2*(c - 2)**2*(c + 2)
Let q(w) = -w + 18. Let k be q(-6). Factor -6*l - k*l + 9*l - 6 + 12*l**2.
3*(l - 2)*(4*l + 1)
Let r = -10011/7 + 1431. Factor r + 4/7*p - 2/7*p**2.
-2*(p - 3)*(p + 1)/7
Let b(x) be the first derivative of -6 - 1/24*x**4 + 0*x**2 + 0*x**3 + 0*x. Factor b(k).
-k**3/6
Let w(x) = 3*x**2 + 2*x - 5. Let j(k) = -k**2 - k + 2. Let r be (0 + 1)/(3/(-33)). Let u(q) = r*j(q) - 4*w(q). Find f, given that u(f) = 0.
1, 2
Let w(k) be the second derivative of 243*k**6/5 + 135*k**5 + 517*k**4/6 - 100*k**3/3 + 4*k**2 + 9*k + 11. Factor w(o).
2*(o + 1)**2*(27*o - 2)**2
Let q be 1335/(-170) - -9 - (-1)/2. Factor 2/17*m**4 - 22/17*m - q*m**2 + 2/17*m**5 - 6/17 - 12/17*m**3.
2*(m - 3)*(m + 1)**4/17
Let i(h) be the third derivative of 33/20*h**5 + 0*h + 1/14*h**7 + 6*h**2 - 11/20*h**6 + 2*h**3 - 5/2*h**4 + 0. Solve i(u) = 0.
2/5, 1, 2
Let m(f) = 13*f**3 - 23*f**2 + 7*f + 3. Let c(u) = 7*u**3 - 12*u**2 + 3*u + 2. Let j(v) = -11*c(v) + 6*m(v). Factor j(p).
(p - 4)*(p - 1)**2
Suppose 7 = y - 16. Let z = y + -21. Factor -3/4*i**2 + 1 + 3/4*i**4 + 3*i - z*i**3.
(i - 2)**2*(i + 1)*(3*i + 1)/4
Let i(k) be the third derivative of -1/30*k**6 + 1/168*k**8 + 0*k**3 + 13*k**2 + 0 + 0*k + 0*k**7 + 1/12*k**4 + 0*k**5. Factor i(c).
2*c*(c - 1)**2*(c + 1)**2
Factor -2/19*t + 4/19*t**4 + 0 - 4/19*t**2 + 0*t**3 + 2/19*t**5.
2*t*(t - 1)*(t + 1)**3/19
Let b(n) be the second derivative of n**6/60 + 7*n**5/20 - 49*n**4/24 + 17*n**3/6 + 70*n - 1. Factor b(w).
w*(w - 2)*(w - 1)*(w + 17)/2
Let y(v) be the second derivative of v**5/4 + 175*v**4/4 + 6125*v**3/2 + 214375*v**2/2 - 58*v. Factor y(z).
5*(z + 35)**3
Let y = 157 + -154. Let m(l) be the first derivative of -1/4*l - 1/12*l**y - 1/4*l**2 - 7. Factor m(u).
-(u + 1)**2/4
Let d(p) = 0 - p - 15*p**2 + 21*p**3 - 20*p**3 + 17. Let k be d(15). Factor -4*r - 2*r**4 + 10*r**k + 5*r**4 + 2*r**5 - 5*r**4 - 7*r**3 + r**3.
2*r*(r - 1)**3*(r + 2)
Suppose -24*x + 10 = -19*x. Factor -2*z**2 - 3*z**2 - 2*z**3 + 2*z**5 + 4*z**4 - 2*z**2 + 3*z**x.
2*z**2*(z - 1)*(z + 1)*(z + 2)
Let q(f) be the second derivative of 0*f**4 - 1/24*f**5 + 0 + 0*f**3 + 5/252*f**7 + 0*f**2 + 37*f + 0*f**6. Factor q(a).
5*a**3*(a - 1)*(a + 1)/6
Let i(y) be the third derivative of -43*y**2 + 121/6*y**3 + 11/12*y**4 + 0 + 1/60*y**5 + 0*y. Factor i(z).
(z + 11)**2
Let z be (10/(-600)*-10 - 26/12)/(-4). Factor -i**2 + 0 + z*i**4 + 0*i - 1/2*i**3.
i**2*(i - 2)*(i + 1)/2
Let x(j) = 7*j**2 - 1. Let i be x(1). Let z(d) = -d**2 + 5*d - 4. Let h(s) = 10*s**2 - 55*s + 45. Let k(l) = i*h(l) + 65*z(l). Factor k(g).
-5*(g - 1)*(g + 2)
Let l**4 + 22*l**2 - 79572 + 79527 + 24*l - 2*l**4 = 0. Calculate l.
-3, 1, 5
Let h(j) be the third derivative of j**8/420 + 8*j**7/525 + j**6/30 + 2*j**5/75 - j**2 + 286. Factor h(o).
4*o**2*(o + 1)**2*(o + 2)/5
Let f = -47 - -50. Let t be 26/8 - (2 - (2 - f)). Factor -t*z**2 + z - 1.
-(z - 2)**2/4
Suppose 119 = 7*z - 1442. Let a = z + -1111/5. Find i, given that 8/5*i**5 + 0 + 0*i + a*i**3 + 14/5*i**4 - 2/5*i**2 = 0.
-1, 0, 1/4
Let r(g) be the second derivative of -5*g**5/4 - 45*g**4/4 - 17*g**3/2 - 5*g**2/2 - 177*g. Find m such that r(m) = 0.
-5, -1/5
Suppose 39*l**5 + 46*l**5 - 18*l**4 + 18*l**2 - 10*l**3 - 4*l - 71*l**5 = 0. What is l?
-1, 0, 2/7, 1
Let v(b) = -5*b**2 + 6*b + 3. Let c(m) = -7*m**2 + 7*m + 2. Let j(s) = 4*c(s) - 6*v(s). Factor j(l).
2*(l - 5)*(l + 1)
Let m(u) be the third derivative of -5*u**9/3024 + u**8/336 - 11*u**3/6 + 18*u**2. Let g(y) be the first derivative of m(y). Factor g(t).
-5*t**4*(t - 1)
Let a(b) = -7*b**3 - 12*b**2 - 17*b - 2. Let i(r) = -11*r**3 - 18*r**2 - 25*r - 2. Let m(n) = -8*a(n) + 5*i(n). Solve m(g) = 0 for g.
-3, -2, -1
Let d(z) be the second derivative of 0 + 1/20*z**6 + 38*z + 3/10*z**5 + 0*z**2 + 0*z**3 + 1/2*z**4. Factor d(f).
3*f**2*(f + 2)**2/2
Let r be 5/(-2)*(-8)/10. Factor 66*m**r - 4*m - 71*m**2 + 19*m.
-5*m*(m - 3)
Let p(a) be the third derivative of a**5/48 + 25*a**4/48 + 125*a**3/24 + 7*a**2 + 3. Find z, given that p(z) = 0.
-5
Suppose 1 = 3*g + 4*z - 25, 2*z = 5*g. Suppose 2*v = -3*v + b + 24, 5*b = v - 24. Suppose 0 - 6/5*h**g + 6/5*h**v - 2/5*h**3 + 2/5*h = 0. What is h?
-1, 0, 1/3, 1
Let w be ((-1)/3)/(18/22383). Let i = -403 - w. Find t such that -3/2*t - 1 + 67/2*t**3 + 10*t**5 + 63/2*t**4 + i*t**2 = 0.
-1, -2/5, 1/4
Factor -1297 - 18*d**3 + 653 + 27*d**2 + 3*d**4 + 644 - 12*d.
3*d*(d - 4)*(d - 1)**2
Let f(w) be the first derivative of -2 - 2/9*w + 1/3*w**2 + 1/18*w**4 - 2/9*w**3. Factor f(v).
2*(v - 1)**3/9
Let h(i) = -i**2 - 4 + 9 - 5*i + i. Let p(c) = 12 + 14 - 27 + 8 - c**2 - 6*c. Let t(b) = 7*h(b) - 5*p(b). Let t(v) = 0. What is v?
0, 1
Let z(i) be the first derivative of i**5/150 + 35*i**2/2 - 6. Let u(f) be the second derivative of z(f). Factor u(s).
2*s**2/5
Suppose -14 = -4*a + 22. Factor -2*i**5 + 5*i**5 - a*i**4 + 0*i**3 + 6*i**3.
3*i**3*(i - 2)*(i - 1)
Factor -18/7*w + 3/7*w**2 + 0.
3*w*(w - 6)/7
Suppose -4*n = -6*n + 42. Let j be 4/28 + 39/n. Factor o**2 + 2*o**j + 4*o - 6*o**2 - o**2.
-4*o*(o - 1)
Let k(n) be the second derivative of -n**7/42 + n**6/6 - 3*n**5/20 - 3*n**4/4 + 9*n - 6. Determine w, given that k(w) = 0.
-1, 0, 3
Let p(f) be the second derivative of -f**5/24 + 25*f**4/72 - 49*f. Factor p(l).
-5*l**2*(l - 5)/6
Let s(t) be the third derivative of 64/21*t**3 + 0*t + 2/35*t**5 + 3*t**2 - 1/420*t**6 - 4/7*t**4 + 0. Find d such that s(d) = 0.
4
Suppose 3*o = 3*w - 21, -5*w + 33 - 4 = -2*o. Suppose 3*z - 95 = -w*i, 5*z - 9 = 3*i - 2*i. Solve 60*c**2 + i*c - 5 - 1 - 7*c - 63*c**3 = 0.
-1/3, 2/7, 1
Let h = 182 - 1455/8. Let f(p) be the first derivative of -2 + 0*p + 1/3*p**3 - h*p**4 + 0*p**2 - 1/10*p**5. Find x such that f(x) = 0.
-2, 0, 1
Let z(t) be the third derivative of -t**6/30 - t**5/15 + t**4/3 + 2*t**2 + 13*t. Factor z(a).
-4*a*(a - 1)*(a + 2)
Let u = 419/3 - 139. Let x(n) be the first derivative of -3*n**2 - u*n**3 - 5 - 4*n. Factor x(k).
-2*(k + 1)*(k + 2)
Let h be -1 - ((-6)/2 + -14). Suppose 2*u + 0*u = h. Determine s so that 6*s**2 + s**4 + 3*s**3 - 8*s**4 + 5*s**4 + s**3 - u*s - 8 = 0.
-1, 2
Suppose 30*d = 54 + 6. Solve -1/3*c**d - 1/3 - 2/3*c = 0 for c.
-1
Determine u, given that 14/9*u**3 - 8/3*u**2 + 0 + 0*u - 2/9*u**4 = 0.
0, 3, 4
Let r(j) = -j - 3. Let f be r(-5). Factor 5*p**2 - 4*p**2 - 5 + 0*p**4 - 5*p**4 + 9*p**f.
-5*(p - 1)**2*(p + 1)**2
Let x = -15 + 11. Let q(j) = 6*j**2 + 4 - 8*j**2 + 14*j - 12*j. Let a(m) = 5*m**2 - 5*m - 9. Let c(t) = x*a(t) - 9*q(t). Solve c(o) = 0 for o.
0, 1
Let r(w) be the third derivative of 1/6*w**3 - 1/120*w**6 + 0*w + 1/24*w**4 + 0 - 1/60*w**5 - 24*w**2. Factor r(j).
-(j - 1)*(j + 1)**2
Factor -40*o**3 + 73*o**3 - 5*o - 32*o**3 + 6 - 2*o**2.
(o - 3)*(o - 1)*(o + 2)
Suppose -16/3 + 46/9*w + 2/9*w**2 = 0. Calculate w.
-24, 1
Let h be 2/(-4*(-4)/(-120)). Let y(s) = 2*s + 33. Let o be y(h). Factor 0 + 0*v - 2/11*v**o + 4/11*v**2.
-2*v**2*(v - 2)/11
Let t(w) = -2*w + 28. Let k be t(8). Let j(c) = -c + 14. Let p be j(k). Factor -1/5 + 2/5*i - 1/5*i**p.
-(i - 1)**2/5
Let j(g) be the first derivative of -g**4/16 - g**3/12 + 267. Factor j(y).
-y**2*(y + 1)/4
Suppose y - b - 27 = -31, y + 2*b - 8 = 0. What is r in y - 15/4*r**3 - 9/4*r**2 + 9/4*r**4 + 3*r**5 + 3/4*r = 0?
-1, 0, 1/4, 1
Let l(q) = -7*q**2 + 3*q - 1. Let r(t) = 3*t**2 - t + 1. Let d(n) = 2*l(n) + 5*r(n). Let o be d(0). Factor -o*b**2 + 0*b**2 + 46*b - 52*b.
-3*b*(b + 2)
Let v(o) be the third derivative of -o**5/60 + 3*o**4/8 - 3*o**3 - 83*o**2. Factor v(d).
-(d - 6)*(d - 3)
Find u, given that -297*u**3 - 189*u**2 - 11*u**5 - 69*u**4 - 526*u**2 + 150*u - 72*u**4 - 282*u**3 = 0.
-5, -3, 0, 2/11
Solve 2*h**4 - 16*h**3 - 56/3*h**2 + 32*h + 0 + 2/3*h**5 = 0.
-6, -2, 0, 1, 4
Let o(w) be the second derivative of -3*w**7/14 + 17*w**6/10 - 93*w**5/20 + 23*w**4/4 - 3*w**3 - 113*w. Suppose o(v) = 0. Calculate v.
0, 2/3, 1, 3
Suppose -772 = -15*j + 11*j. Suppose -p - 193 + j = 0. Solve 1/4*o**2 + 1/4*o + p = 0.
-1, 0
Let c be 0/(((-14)/35)/(1/5)). Let w(f) be the third derivative of -1/6*f**3 + 1/60*f**5 + 0 + 0*f + c*f**4 + 5*f**2. Factor w(m).
(m - 1)*