g(-8). Let q be y(a). Factor j**3 - 1/3*j**2 - 2/3*j + q.
j*(j - 1)*(3*j + 2)/3
Let z(h) be the third derivative of h**6/210 + 11*h**5/105 + 5*h**4/21 + 69*h**2. Factor z(f).
4*f*(f + 1)*(f + 10)/7
Let o(r) be the third derivative of -r**5/300 + 9*r**4/10 - 486*r**3/5 - 28*r**2 - 2*r. Factor o(p).
-(p - 54)**2/5
Let g(o) be the third derivative of 4*o**2 - 16/15*o**3 + 2/15*o**4 + 0*o - 1/150*o**5 + 0. Factor g(r).
-2*(r - 4)**2/5
Let v(w) be the first derivative of 4*w**3/3 - 60*w**2 + 116*w - 35. Factor v(b).
4*(b - 29)*(b - 1)
Factor 8/9 - 4/9*r**2 + 4/9*r.
-4*(r - 2)*(r + 1)/9
Solve 18/7*j**2 + 152/7*j + 64/7 = 0 for j.
-8, -4/9
Let o(g) be the first derivative of -1/2520*g**6 - 1 - 1/420*g**5 + 0*g**4 + 0*g**2 - 2/3*g**3 + 0*g. Let x(h) be the third derivative of o(h). Factor x(n).
-n*(n + 2)/7
Let s = -31 - -34. Factor 4*k**s + 16*k**2 - 26 + 2 - k + 5*k.
4*(k - 1)*(k + 2)*(k + 3)
Let m(r) = r**3 - 2*r**2 + 3*r - 2. Let s be m(2). Suppose 0 = 3*n - s - 2. Let -4*p**2 - 3*p**3 + 2*p**n - p**3 - 2*p**4 = 0. Calculate p.
-1, 0
Let l(f) = f**2 + 2*f - 9. Let p(z) = z**2 + z - 10. Let i = -24 + 28. Let d(w) = i*l(w) - 3*p(w). Factor d(o).
(o - 1)*(o + 6)
Let t(d) be the third derivative of 1/15*d**5 - 1/120*d**6 - 26*d**2 - 5/24*d**4 + 0*d + 1/3*d**3 + 0. Determine x, given that t(x) = 0.
1, 2
Let f be (-11)/(-66) + 5383/30. Let i = -179 + f. Factor -1/5 + 1/5*d**3 + 3/5*d - i*d**2.
(d - 1)**3/5
Suppose -21 = -d + 3*b - 42, -2*b + 4 = -4*d. Factor 9/4*q**2 + 1/4*q**5 + 15/4*q**d + 7/4*q**4 + 0 + 0*q.
q**2*(q + 1)*(q + 3)**2/4
Let g(n) be the first derivative of -n**3/7 + 39*n**2 - 3549*n - 487. Factor g(t).
-3*(t - 91)**2/7
Let q(t) be the first derivative of 1/6*t**3 - 15 + 1/4*t**4 + 0*t + 1/10*t**5 + 0*t**2. Find j such that q(j) = 0.
-1, 0
Let w = -184 - -184. Let o(i) be the second derivative of 0*i**2 + 1/20*i**5 + 0*i**3 - 1/60*i**6 - 5*i + w - 1/24*i**4. Suppose o(a) = 0. Calculate a.
0, 1
Let v(z) = z + 13. Let h be v(-13). Let r(b) be the first derivative of h*b - 1/6*b**4 - 1/15*b**5 + 6 + 0*b**2 - 1/9*b**3. Find s such that r(s) = 0.
-1, 0
Let m(q) be the second derivative of q**5/60 - 2*q**3 - 489*q. Factor m(v).
v*(v - 6)*(v + 6)/3
Let t(o) be the third derivative of -1/315*o**7 - 1/9*o**3 + 0*o + 0 + 0*o**4 + 1/45*o**5 + 3*o**2 + 0*o**6. Factor t(d).
-2*(d - 1)**2*(d + 1)**2/3
Let y = 2542/1929 + 10/643. Solve -2/3*u**2 + 16/3 + y*u = 0.
-2, 4
Let y(o) be the third derivative of -o**5/300 - o**4/8 - 90*o**2. Determine b so that y(b) = 0.
-15, 0
Let v(y) be the second derivative of -y**6/24 - y**5/12 + 5*y**4/12 + 7*y**2 - 16*y. Let m(n) be the first derivative of v(n). Factor m(c).
-5*c*(c - 1)*(c + 2)
Let k(d) be the third derivative of d**7/420 - d**6/240 - 37*d**5/120 - 35*d**4/48 + 364*d**2. Factor k(g).
g*(g - 7)*(g + 1)*(g + 5)/2
Factor -201 - 104*x**2 + 196*x + 1 + 46*x**2 + 62*x**2.
4*(x - 1)*(x + 50)
Find c such that 1/3*c**2 - 6*c + 0 = 0.
0, 18
Let f(s) be the second derivative of s**7/10080 - 7*s**6/2880 + s**5/80 - 4*s**4/3 + 12*s. Let l(z) be the third derivative of f(z). Factor l(m).
(m - 6)*(m - 1)/4
Let s(d) = -8*d**2 + d + 7. Let n = 35 + -32. Let c(f) = 4*f**2 - 4*f + 3 + 0 + n*f - 6. Let m(o) = 5*c(o) + 2*s(o). Factor m(g).
(g - 1)*(4*g + 1)
Suppose 0 = 54*k - 23*k. Let f(u) be the first derivative of k*u**2 - 2/15*u**3 - 4 + 2/5*u. Suppose f(p) = 0. What is p?
-1, 1
Let t be (-7)/5*(-1870)/3927. Factor 14/3 + 16/3*l + t*l**2.
2*(l + 1)*(l + 7)/3
Suppose 0 = -12*k + 7*k + 75. Suppose -6*p = -9 - k. Let 2*h**2 - 1/2*h - 2*h**p + 0 + 1/2*h**3 = 0. Calculate h.
-1, 0, 1/4, 1
Let 30*b**2 - 25/3*b**3 - 40/3 + 5*b**5 - 40/3*b**4 + 20/3*b = 0. Calculate b.
-1, 2/3, 2
Factor 69/2*j**2 - 3/2*j**3 - 180*j - 216.
-3*(j - 12)**2*(j + 1)/2
Let x = -5027/301 - -927/43. Factor 4/7*h + x*h**2 + 0 + 30/7*h**3.
2*h*(h + 1)*(15*h + 2)/7
Let y(o) be the third derivative of o**8/112 + 4*o**7/35 + 3*o**6/10 - 113*o**2. Factor y(w).
3*w**3*(w + 2)*(w + 6)
Suppose 0 = 6*i - 16 - 134. Suppose 16*l - i*l = -27. Factor 1/4*v**2 - 1/4*v**l + 1/2*v + 0.
-v*(v - 2)*(v + 1)/4
Let q(u) be the second derivative of 0*u**2 + 6*u + 1/357*u**7 + 0*u**4 + 2/255*u**6 + 1/170*u**5 + 0*u**3 + 0. Factor q(g).
2*g**3*(g + 1)**2/17
Let t(d) be the first derivative of 2*d**6/3 + 8*d**5/5 - 2*d**4 - 16*d**3/3 + 2*d**2 + 8*d + 62. What is g in t(g) = 0?
-2, -1, 1
Solve 189/8*u**5 - 3 - 57/2*u - 333/4*u**2 - 555/8*u**3 + 12*u**4 = 0.
-1, -2/7, -2/9, 2
Let o(m) be the second derivative of 8/3*m**4 - 2/5*m**5 - 19*m + 4*m**2 + 2/21*m**7 - 4/15*m**6 + 0 - 14/3*m**3. Solve o(d) = 0.
-2, 1
Let t be 6/12 + 2/(-4). Suppose -3*m - 28 = -2*o, -5*o + 3*m - m + 48 = t. Let 4 + 0*r**2 + 2 + 2*r**2 + o*r + 2 = 0. What is r?
-2
Factor h**3 + 0 + 3/2*h**2 - h - 3/2*h**4.
-h*(h - 1)*(h + 1)*(3*h - 2)/2
Let p(o) be the third derivative of -o**6/24 - 13*o**5/12 + 5*o**4/24 + 65*o**3/6 - o**2 + 177*o. Factor p(f).
-5*(f - 1)*(f + 1)*(f + 13)
Let p = -108995/7 - -15571. Let 4/7*z**3 - 8/7*z + 8/7*z**2 + 4/7*z**5 - 10/7*z**4 + p = 0. Calculate z.
-1, 1/2, 1
Factor 0 - 4/3*o**2 + 16*o.
-4*o*(o - 12)/3
Let j(x) = -88*x - 7. Let p be j(-1). Let t be (p/42)/(-3)*-2. Factor 0 + t*h**5 - 33/7*h**4 - 27/7*h**2 + 6/7*h + 45/7*h**3.
3*h*(h - 1)**3*(3*h - 2)/7
Let v(t) be the third derivative of -35*t**2 + 0*t + 0*t**5 + 1/120*t**6 + 0*t**4 + 0*t**3 + 1/672*t**8 - 1/140*t**7 + 0. Suppose v(c) = 0. Calculate c.
0, 1, 2
Determine m, given that -1/4*m**3 + 1/8*m**4 - 3/8*m**2 + 1/2*m + 1/2 = 0.
-1, 2
Let i(s) be the third derivative of 7*s**5/20 - 3*s**4/8 - 17*s**2 + 5. Factor i(c).
3*c*(7*c - 3)
Let x(i) be the second derivative of 0 - 5/33*i**4 - 45*i + 0*i**2 + 1/110*i**5 + 25/33*i**3. Factor x(z).
2*z*(z - 5)**2/11
Let t be (-12)/200*(-35)/252. Let n(i) be the third derivative of 0*i**3 - t*i**6 + 0*i - 1/30*i**5 - 1/24*i**4 - i**2 + 0. Factor n(y).
-y*(y + 1)**2
Let m(c) be the second derivative of c**9/1008 - c**8/280 + c**7/280 - c**3/6 + 6*c. Let y(s) be the second derivative of m(s). Factor y(r).
3*r**3*(r - 1)**2
Let w(s) be the first derivative of -14/33*s**3 - 10/11*s + 14 - 12/11*s**2. Find p such that w(p) = 0.
-1, -5/7
Let o(n) = -n**3 + 8*n**2 + 21*n - 6. Let k be o(10). Let u(a) be the first derivative of 0*a + 1/2*a**k - 1/2*a**2 + 1/3*a**3 - 5. Factor u(b).
b*(b + 1)*(2*b - 1)
Factor 176/5*v + 2/15*v**4 + 242/15 + 16/5*v**3 + 332/15*v**2.
2*(v + 1)**2*(v + 11)**2/15
Let x(v) = 10*v**4 - v**3 - 10*v**2 + 10*v + 9. Let m(g) = -5*g**4 + g**3 + 5*g**2 - 5*g - 4. Let q be 14*5/(-10) + 3. Let y(i) = q*x(i) - 9*m(i). Factor y(r).
5*r*(r - 1)**2*(r + 1)
Let p(q) be the second derivative of q**4/18 + 26*q**3/9 + 169*q**2/3 + 587*q. Factor p(g).
2*(g + 13)**2/3
Let f(t) be the first derivative of t**8/1344 - t**6/480 + 5*t**2 + 8. Let i(u) be the second derivative of f(u). Factor i(l).
l**3*(l - 1)*(l + 1)/4
Factor 19*c + 18*c**2 - 13*c**3 + 92*c + 90 + 17*c**3 - 7*c**3.
-3*(c - 10)*(c + 1)*(c + 3)
Let d(r) be the third derivative of -r**6/40 - 19*r**5/20 - 2*r**4 + 18*r**3 - 2*r**2 + 2. Factor d(v).
-3*(v - 1)*(v + 2)*(v + 18)
Factor 713 - 378 - 112*v**2 - 5*v**3 - 145*v - 136*v**2 - 237.
-(v + 1)*(v + 49)*(5*v - 2)
Let 3*a**4 - 6*a**4 - 32*a**3 - a**4 - 30*a**2 + 31 + 32*a - 6*a**4 + 9*a**4 = 0. What is a?
-31, -1, 1
Let n(t) be the second derivative of t**6/12 + 11*t**5/8 + 5*t**4/4 - 55*t**3/3 - 50*t**2 + 80*t + 2. Find p, given that n(p) = 0.
-10, -2, -1, 2
Factor -4*r + 3*r**3 - 6*r - 12*r + r + 18.
3*(r - 2)*(r - 1)*(r + 3)
Let j = -2955/4 + 739. Factor -1/2*r - 1/4*r**2 + 0 + j*r**3.
r*(r - 2)*(r + 1)/4
Suppose c + w = 5, c - 2*w - w + 7 = 0. Let k be -2 + 4 - 3 - (-24)/4. Factor 7*r + 5*r - 20*r**c + 3*r**k - 7*r**3 + 6*r**4 + 8*r**2 - 2*r**3.
3*r*(r - 1)**2*(r + 2)**2
Let v = 84819/5 + -16963. Solve -v*j**2 + 0 + 3/5*j**3 + 1/5*j = 0.
0, 1/3, 1
Let u(r) be the first derivative of r**4/10 + 16*r**3/5 - 5*r**2 + 85. Find j, given that u(j) = 0.
-25, 0, 1
Let l(y) be the second derivative of 0*y**3 + 0 + 1/24*y**4 - 5*y - 1/80*y**5 + 0*y**2. Factor l(p).
-p**2*(p - 2)/4
Let y(l) = -6*l**3 - l**2 - 7*l - 3. Suppose 0 = 5*f + 3*x + 50, 2*f + 0*x = -4*x - 20. Let j(u) = u**3 - u**2 - u - 1. Let d(m) = f*j(m) - 2*y(m). Factor d(k).
2*(k + 2)**3
Let m = 15831/7 + -2261. F