 - g*f**3.
-2*f**2*(f - 2)/5
Let m(b) = b**2 - 250*b - 3134. Let v(i) = -i**2 - 250*i - 3131. Let w(a) = -2*m(a) + 3*v(a). Factor w(h).
-5*(h + 25)**2
Let y(j) be the first derivative of -13*j**4/8 - 17*j**3/6 - j**2 + 272. Let y(m) = 0. What is m?
-1, -4/13, 0
Suppose -b + 6 = b. Let y = 91 - 87. Factor 2*c**5 - 2*c**b - 6*c**4 + 6*c**y + 0*c**3.
2*c**3*(c - 1)*(c + 1)
Let t(u) = 4*u**3 - 156*u**2 - 3450*u - 27648. Let s(i) = -11*i**3 + 466*i**2 + 10351*i + 82944. Let z(o) = 6*s(o) + 17*t(o). Factor z(l).
2*(l + 24)**3
Let 4/17*l**2 - 138/17 - 276/17*l**3 + 274/17*l + 2/17*l**5 + 134/17*l**4 = 0. What is l?
-69, -1, 1
Let z(q) be the second derivative of q**6/90 - q**4/36 + q - 5. Factor z(n).
n**2*(n - 1)*(n + 1)/3
Let c be (-132)/(-55) + (-4)/10. Factor 0*j + 8 - j**3 + j - c*j**2 + j + 2*j.
-(j - 2)*(j + 2)**2
Let q = 18 + -14. Let x(a) be the second derivative of 1/16*a**q + 5*a + 1/8*a**3 + 0 - 3/4*a**2. Suppose x(p) = 0. What is p?
-2, 1
Let m(i) be the first derivative of i**6/30 - i**5/25 - 3*i**4/20 + i**3/3 - i**2/5 + 122. Let m(h) = 0. What is h?
-2, 0, 1
Let r(s) = 91*s + 364. Let d be r(-4). What is f in d + 6/5*f**2 - 6/5*f**4 + 4/5*f - 2/5*f**5 - 2/5*f**3 = 0?
-2, -1, 0, 1
Let i(q) = 5*q**2 + q - 18. Let u(s) = -9*s**2 - s + 34. Let x(r) = 5*i(r) + 3*u(r). Let x(t) = 0. What is t?
-2, 3
Factor -12*k**2 - 13*k**2 - 10*k + 23*k**2.
-2*k*(k + 5)
Let s(n) be the first derivative of 6 + 0*n**2 - 1/12*n**4 + 0*n**3 - 6*n. Let x(h) be the first derivative of s(h). Factor x(m).
-m**2
Suppose 3*i = -4*o + 5, -o - 4*o - 5*i = 0. Let j be ((-48)/(-15) - 2)*o. Factor 12*c**2 + 4*c**3 - 18*c - j*c**3 + 4 - 2*c**3 + 6*c.
-4*(c - 1)**3
Suppose -45*a = -39*a. Let t be 7*7/147*a. Factor -2/9 + 2/9*s**2 + t*s.
2*(s - 1)*(s + 1)/9
Solve 6/19*a**4 + 10/19*a**2 + 0 + 6/19*a - 22/19*a**3 = 0 for a.
-1/3, 0, 1, 3
Factor 0 - 4/3*n**4 + 4*n + 20/3*n**2 + 4/3*n**3.
-4*n*(n - 3)*(n + 1)**2/3
Let f = -51 - -53. Let w(c) be the third derivative of -5*c**f - 1/420*c**6 - 5/84*c**4 - 2/105*c**5 + 0*c + 0 - 2/21*c**3. Find t, given that w(t) = 0.
-2, -1
Let -1/6*d**2 - 200/3 + 20/3*d = 0. Calculate d.
20
Let r(b) be the third derivative of b**8/2520 + 2*b**7/1575 + b**6/900 - 80*b**2. Factor r(z).
2*z**3*(z + 1)**2/15
Let z = -23/2 + 71/6. Let a(b) be the first derivative of z*b**3 + 1 + 1/8*b**4 - 1/10*b**5 + 0*b**2 + 0*b. Suppose a(m) = 0. What is m?
-1, 0, 2
Let r(y) = y**2 - 3*y. Let n be r(4). Let t = -325 - -419. Factor -n*l**2 - t*l + 16 + 94*l.
-4*(l - 2)*(l + 2)
Suppose 0 = -4*r - 5*n - 15, -4*n - 18 = -3*r - 6. Factor 0*d + 1/4*d**2 + 1/2*d**3 + r + 1/4*d**4.
d**2*(d + 1)**2/4
Let u = 348 - 346. Let -6/7*h**3 + 4*h**u - 40/7*h + 16/7 = 0. Calculate h.
2/3, 2
Suppose -3*l = 2*v + 2, -v = -4*l + v - 12. Let p be 1 - l/22*-9. Factor -p*h**4 + 0*h + 4/11*h**3 - 2/11*h**2 + 0.
-2*h**2*(h - 1)**2/11
Let x(z) be the first derivative of 25/4*z**4 + 10*z + 15*z**3 + 16 + 35/2*z**2 + z**5. Factor x(t).
5*(t + 1)**3*(t + 2)
Let d = -49 + 52. Let g be ((-2)/(-3))/(d/9). Factor 1/2*b**g + 0 + 1/4*b + 1/4*b**3.
b*(b + 1)**2/4
Find p, given that -3 - 33*p**3 - 344*p**2 - 119*p**3 - 97 + 8*p**3 - 40*p**2 - 340*p = 0.
-1, -5/6
Let w be 6 - (9/1 - 5). Solve 4*o - 6 + 4*o**2 + 3*o**2 + 2 - 4*o**w = 0 for o.
-2, 2/3
Let o be ((-156)/364)/((-6)/28). Factor -1/2*d**3 + 1/4*d**4 - 1/4 + 1/2*d + 0*d**o.
(d - 1)**3*(d + 1)/4
Let q(y) be the first derivative of y**2 + 1/6*y**3 - 5/2*y - 23. Factor q(z).
(z - 1)*(z + 5)/2
Let r(v) = -65*v**5 - 75*v**4 - 100*v**3 + 40*v**2 + 105*v + 65. Let a(b) = 2*b**5 - b**3 - b**2 + b. Let g(l) = 30*a(l) + r(l). Factor g(m).
-5*(m - 1)*(m + 1)**3*(m + 13)
Let z(r) be the first derivative of -1/6*r**3 + 0*r**2 - 1/12*r**4 - 1 + 4*r. Let j(s) be the first derivative of z(s). Factor j(f).
-f*(f + 1)
Let b be ((-15)/20)/((-1)/(-40)). Let h be ((-40)/35)/(b/21). Let 1/5*j**2 - h + 0*j = 0. What is j?
-2, 2
Factor -2*g**3 - 10/19*g**4 + 0 - 32/19*g**2 + 8/19*g.
-2*g*(g + 2)**2*(5*g - 1)/19
Let r(h) be the third derivative of -h**6/660 - h**5/165 + h**4/132 + 2*h**3/33 + h**2 - 28*h. Factor r(l).
-2*(l - 1)*(l + 1)*(l + 2)/11
What is d in 6740*d**3 + 800 + 4832*d - 4400*d**4 + 7184*d**2 + 500*d**5 + 848*d + 5448*d**2 = 0?
-2/5, 5
Let q = 4787/22 + -9545/22. Let f = q - -217. Factor -16/11 - 2/11*o**3 + f*o + 4/11*o**2.
-2*(o - 2)**2*(o + 2)/11
Let b(u) be the second derivative of -u**5/80 - u**4/16 - u**3/8 - 2*u**2 - 2*u. Let x(v) be the first derivative of b(v). Let x(c) = 0. Calculate c.
-1
Let j be (-6*1/2)/((-3)/3). Solve -j*p**4 + 38*p**2 - 3*p**3 + 36*p**2 - 68*p**2 = 0.
-2, 0, 1
Let t = 957 - 957. Factor 1/7*f**4 + t*f**3 + 0 + 0*f - 1/7*f**2.
f**2*(f - 1)*(f + 1)/7
Let z(a) be the first derivative of -5*a**3/3 - 95*a**2/2 + 13. Let z(g) = 0. Calculate g.
-19, 0
Solve -98*k - 26/3*k**4 - 418/3*k**2 - 12 - 62*k**3 = 0 for k.
-3, -1, -2/13
Let h = -7544 - -22634/3. Solve -h*u**5 + 0*u**2 + 0*u**3 + 0 + 0*u - 4/3*u**4 = 0 for u.
-2, 0
Let a(o) be the first derivative of -o**7/280 + o**6/24 - o**5/20 - o**4 - 9*o**3 + 8. Let c(b) be the third derivative of a(b). Factor c(g).
-3*(g - 4)*(g - 2)*(g + 1)
Let m = 19 - 17. Suppose 2*c - 13 = -3*r + 6, m*r - 15 = c. Factor 4*y**3 - 57 + 57 + r*y**2 + y**2.
4*y**2*(y + 2)
Let t(d) be the first derivative of 0*d - 3/4*d**2 - 1/4*d**3 - 7. Factor t(g).
-3*g*(g + 2)/4
Suppose -105*n = -2*d - 107*n + 2, -5*d - 5 = -5*n. Let r(v) be the first derivative of -1/25*v**5 + 0*v**3 + 1 - 1/20*v**4 + d*v + 0*v**2. Factor r(k).
-k**3*(k + 1)/5
Let l be 1 - 0 - 0 - (-4 + 2). Let p(q) be the first derivative of -4 + 0*q - 1/3*q**l + q**2. Factor p(x).
-x*(x - 2)
Let h(r) be the second derivative of -2*r**7/21 + 28*r**6/15 - 5*r**5 + 4*r**4 - 3*r. Suppose h(z) = 0. What is z?
0, 1, 12
Suppose 2*i - 3*u + 6 = 0, 1 = 4*i - u + 3. Suppose 4*g - 6 = z, 2 = g - i*g. Factor -c - 2/3*c**z + 1/3*c**5 - 1/3 + c**4 + 2/3*c**3.
(c - 1)*(c + 1)**4/3
Let f be (-3)/9*(-15 + 6). Factor -w**3 + 5*w**4 + 0*w**f - 9*w**3.
5*w**3*(w - 2)
Let s(p) be the first derivative of 11 + 8/11*p**3 + 0*p + 5/22*p**4 + 4/11*p**2. Factor s(t).
2*t*(t + 2)*(5*t + 2)/11
Let v(r) = -8*r**2 - 5*r + 7. Suppose 3*a + 12 = 21. Let b(f) = -23*f**2 - 15*f + 22. Let g(z) = a*b(z) - 8*v(z). Factor g(k).
-5*(k - 1)*(k + 2)
Let r be 48/216 + 142/90*1. Let y(l) be the first derivative of -3*l**4 + 3*l**2 + 0*l - 5*l**3 + r*l**5 - 5. Determine z, given that y(z) = 0.
-1, 0, 1/3, 2
Let l(b) be the first derivative of -3/5*b**2 + 0*b**3 + 1/10*b**4 - 2 + 4/5*b. Factor l(x).
2*(x - 1)**2*(x + 2)/5
Let k be 7944/14 + (-3)/7. Factor 540*l + 0 + 6 - k*l - 9*l**3 + 30*l**2.
-3*(l - 2)*(l - 1)*(3*l - 1)
Let i(p) be the third derivative of p**5/60 - 19*p**4/24 - 7*p**3 - 5*p**2 - 15. Let i(k) = 0. What is k?
-2, 21
Let k(v) be the second derivative of v**8/2520 + v**7/225 + v**6/60 + v**5/50 - 17*v**2/2 + 20*v. Let q(s) be the first derivative of k(s). Factor q(d).
2*d**2*(d + 1)*(d + 3)**2/15
Let q(l) be the second derivative of l**7/1960 - l**5/70 + l**3/6 + 11*l. Let v(c) be the second derivative of q(c). Factor v(r).
3*r*(r - 2)*(r + 2)/7
Factor -32*o**2 - 142/3*o**3 + 0 + 128/3*o + 20*o**4 + 50/3*o**5.
2*o*(o - 1)**2*(5*o + 8)**2/3
Let i(j) = 9*j**4 - 53*j**3 + 52*j**2 + 22*j + 2. Let o(n) = -27*n**4 + 160*n**3 - 155*n**2 - 65*n - 7. Let w(q) = -7*i(q) - 2*o(q). Solve w(h) = 0 for h.
-1/3, 0, 2, 4
Let l(q) be the third derivative of -q**8/24 - 22*q**7/21 - 73*q**6/60 + q**5 - 65*q**2. Find r such that l(r) = 0.
-15, -1, 0, 2/7
Let k(h) be the second derivative of -h**8/336 + h**7/42 - h**6/24 - 7*h**3/3 - 12*h. Let f(p) be the second derivative of k(p). Let f(z) = 0. What is z?
0, 1, 3
Let z(c) = 107*c + 105*c - 21 - 214*c. Let n be z(-12). Find m, given that -1/2*m**n + 0*m**4 + 1/4*m**5 + 0 + 0*m**2 + 1/4*m = 0.
-1, 0, 1
Suppose -23*y + 70 - 12*y - 11*y**2 - 103*y + 7*y**2 = 0. Calculate y.
-35, 1/2
Let c(m) = 8*m**3 + 15*m**2 - 32*m. Let b(r) = -7*r**3 - 15*r**2 + 34*r. Let n(t) = 5*b(t) + 4*c(t). Factor n(s).
-3*s*(s - 2)*(s + 7)
Let j(x) be the first derivative of -2*x**5/5 - 5*x**4 - 22*x**3 - 40*x**2 - 32*x - 35. Factor j(s).
-2*(s + 1)**2*(s + 4)**2
Let y(d) = -2*d**5 + 3*d**4 + 2*d**3 - 4*d**2 - 2*d. Let a(o) = o**5 + o**4 - o**3 + 2*o. Let j(b) = -3*