 2)**2
Let w(s) be the second derivative of -s**6/165 + s**5/22 - 3*s**4/22 + 7*s**3/33 - 2*s**2/11 - 284*s. Factor w(y).
-2*(y - 2)*(y - 1)**3/11
Let j = 612 - 607. Let r(s) be the third derivative of 0*s**3 + 3/70*s**7 + 4*s**2 - 7/40*s**6 + 1/4*s**j + 0 - 1/8*s**4 + 0*s. Let r(a) = 0. What is a?
0, 1/3, 1
Let p(w) be the first derivative of -2/7*w**2 + 10 + 0*w + 2/21*w**3 + 1/14*w**4. Suppose p(v) = 0. What is v?
-2, 0, 1
Let y(r) be the first derivative of -r**8/336 + r**7/105 - r**5/30 + r**4/24 - 3*r**2/2 + 3. Let s(o) be the second derivative of y(o). Factor s(w).
-w*(w - 1)**3*(w + 1)
Let p(y) be the first derivative of -y**6/120 + y**4/16 - y**3/12 + 14*y + 15. Let x(q) be the first derivative of p(q). Let x(g) = 0. Calculate g.
-2, 0, 1
Factor 7/2*v**2 - 11/6 + 2*v - 1/3*v**3.
-(v - 11)*(v + 1)*(2*v - 1)/6
Let b(i) be the first derivative of -i**3/18 + 3*i**2/4 - 3*i - 48. What is k in b(k) = 0?
3, 6
Suppose -3*n - 97 = -2*h - 23, 0 = h + 5*n - 63. Let i = 47 - h. Let 13/6*x**3 + 1/6*x**5 + 2*x**2 + x**i + 2/3*x + 0 = 0. What is x?
-2, -1, 0
Let b(u) be the second derivative of -2*u**7/63 + 2*u**5/15 - 2*u**3/9 - 3*u + 5. Factor b(l).
-4*l*(l - 1)**2*(l + 1)**2/3
Let p(q) be the second derivative of q**6/180 - q**5/30 - q**4/4 - 5*q**3/9 - 7*q**2/12 + 220*q. Determine k so that p(k) = 0.
-1, 7
Let u(d) be the first derivative of 5/12*d**6 + 1/5*d**5 + 8 - 1/3*d**3 - 5/8*d**4 + 0*d + 0*d**2. Suppose u(w) = 0. Calculate w.
-1, -2/5, 0, 1
Let q(y) be the first derivative of y**5/4 - 5*y**4/12 + 5*y**3/18 - 13*y**2/2 + 4. Let r(c) be the second derivative of q(c). Factor r(f).
5*(3*f - 1)**2/3
Let n(r) = -19*r**2 + 257*r - 1452. Let y(l) = 6*l**2 - 86*l + 484. Let x be (3/5)/((-12)/(-40)). Let q(b) = x*n(b) + 7*y(b). Factor q(k).
4*(k - 11)**2
Suppose -12 = -3*k - 0. Let u(s) = -500*s**3 - 304*s**2 - 60*s - 4. Let a(w) = -1000*w**3 - 607*w**2 - 120*w - 8. Let n(h) = k*a(h) - 7*u(h). Factor n(f).
-4*(5*f + 1)**3
Let g(j) be the second derivative of -j**4/54 - 8*j**3/27 + j**2 + 9*j. Factor g(t).
-2*(t - 1)*(t + 9)/9
Suppose -m + 67*f - 6 = 66*f, 27 = -3*m + 4*f. Factor 1/2 - 1/2*l + 1/2*l**m - 1/8*l**4 - 3/8*l**2.
-(l - 2)**2*(l - 1)*(l + 1)/8
Let s(k) be the first derivative of 38 + 81/5*k - 3/25*k**5 - 3/5*k**4 + 6/5*k**3 + 54/5*k**2. Solve s(w) = 0.
-3, -1, 3
Factor -3*d + 5*d**3 + 182 - 149 - 33*d**2 + d**3 - 3*d**3.
3*(d - 11)*(d - 1)*(d + 1)
Let l be 59/5 + (51 - 61). Determine q, given that 1/5*q**4 - 6/5*q**3 + 0*q + l*q**2 + 0 = 0.
0, 3
Suppose 0 = 4*z - 8*z. Let u be (-19 + 18)*(2 - 0 - 5). Factor 0 + m**4 + 0*m**2 + 1/2*m**u + 1/2*m**5 + z*m.
m**3*(m + 1)**2/2
Factor 35 + 91*h**2 + 7 + 36*h + 105*h - 112*h**2.
-3*(h - 7)*(7*h + 2)
Let k(n) be the first derivative of -n**4/4 - 68*n**3/3 - 578*n**2 + 740. Factor k(p).
-p*(p + 34)**2
Let x = -281 + 283. Factor 9/4 + 1/4*g**3 + 7/4*g**x + 15/4*g.
(g + 1)*(g + 3)**2/4
Suppose 11*s - 6*s + 375 = 0. Let r = -73 - s. Suppose -21/4*o**3 + 21/4*o - 3/2 + 3/2*o**r = 0. Calculate o.
-1, 2/7, 1
Let w(y) be the second derivative of -y**5/8 + 65*y**4/12 - 245*y**3/12 + 30*y**2 - 16*y. Solve w(i) = 0 for i.
1, 24
Let h(o) be the first derivative of -o**4/8 + 11*o**3/6 + 3*o**2 + 22. Find z such that h(z) = 0.
-1, 0, 12
Suppose -4*y = -3*y. Suppose 0*z + z - 2 = y. Factor 12*c**2 - c**z + 3*c - 6 - 5*c**2 - 3*c**3.
-3*(c - 2)*(c - 1)*(c + 1)
Let t(p) = 4*p**2 - 6*p + 4. Let m be t(1). Let n(q) be the second derivative of 11*q - 1/18*q**3 + 0 + 1/72*q**4 + 0*q**m. Let n(z) = 0. What is z?
0, 2
Solve -840*w**3 - 100 + 5*w + 10*w + 55*w**2 + 5*w + 820*w**3 = 0 for w.
-5/4, 2
Let f = -1727/6 - -5183/18. Factor -2/3 + f*j + 1/9*j**2.
(j - 2)*(j + 3)/9
Find f such that 38/9*f**2 + 4/9 - 26/9*f**3 + 2/3*f**4 - 22/9*f = 0.
1/3, 1, 2
Suppose 3*d - i - 10 = -0*d, 2*i + 2 = -3*d. Let o be 4/4*d + 1. Let -b - 2 + 4*b + 4 - b**o = 0. Calculate b.
-1, 2
Factor 0*b**3 + 1/2*b**4 + 8 + 0*b - 4*b**2.
(b - 2)**2*(b + 2)**2/2
Let s = -45 + 49. Let j be 3 + (1 - 3)/2. Find v, given that 2*v**3 + j*v**5 + 2*v + 2*v**4 - 1 + 3 - s*v**2 - 6*v**3 = 0.
-1, 1
Factor -2/17*n**2 + 12/17*n - 10/17.
-2*(n - 5)*(n - 1)/17
Let l(q) = 16*q**2 + q - 1. Let s be l(1). Suppose -16*p - 95 = -319. Factor -s*g**3 + 9*g**4 - 3*g**5 + 36*g**2 - 5*g**4 + p*g**4 - 23*g**3 - 12*g.
-3*g*(g - 2)**2*(g - 1)**2
Suppose -4 + 0 = -m. Suppose g = m*g. Suppose 10*k**4 + 6*k + g*k - 2*k**2 + 8*k - 4*k**4 - 4 - 14*k**3 = 0. What is k?
-1, 1/3, 1, 2
Suppose 0 = 3*p - 28 - 35. Factor -6 - 26*x**4 + 104*x**4 + 79*x**2 + 3*x - 102*x**3 - 31*x**2 - p*x**5.
-3*(x - 1)**4*(7*x + 2)
Let v(i) be the third derivative of 0*i + 2/3*i**3 + 0 - 1/12*i**4 - 1/30*i**5 + 19*i**2. What is c in v(c) = 0?
-2, 1
Let y(s) = 7*s - 2. Let a be y(6). Let k = 47 - a. Solve k*g**3 + 3*g**4 + 0*g**3 - 16*g**3 + 3*g**3 = 0 for g.
0, 2
Suppose -10 = -2*x - 5*j, -2*x - 3 = -3*j + 3. Suppose x = -2*v + 4*v - 6. Suppose v + 1 - 2*a**3 + 0 + 6*a = 0. Calculate a.
-1, 2
Let y be (-30)/6 - -1202*(-5)/(-1200). Let p(o) be the third derivative of 1/12*o**3 + 0*o - 7*o**2 + 0 + y*o**5 - 1/24*o**4. Factor p(r).
(r - 1)**2/2
Let r be (-10)/65 - 82/(-26). Factor -5*l**3 + 0*l**4 + l**4 + l**2 - 2 + 8*l**3 - r*l.
(l - 1)*(l + 1)**2*(l + 2)
Let k(v) be the first derivative of -4/9*v**2 + 8/27*v**3 + 12 + 1/6*v**4 + 0*v. Factor k(z).
2*z*(z + 2)*(3*z - 2)/9
Let n(i) = 72*i**2 + 291*i + 14. Let s be n(-4). Factor -3/5*l**s + 0 + 9/5*l.
-3*l*(l - 3)/5
Factor 3*l**4 - 61*l**3 + 70*l**3 - 15*l**2 - l + 7*l - 3*l**5.
-3*l*(l - 1)**3*(l + 2)
Suppose -112/9*w + 29/9*w**2 - 2/9*w**3 + 49/9 = 0. Calculate w.
1/2, 7
Let a(p) be the second derivative of p**6/720 + p**5/120 + p**4/48 + p**3/6 + 22*p. Let l(g) be the second derivative of a(g). Factor l(q).
(q + 1)**2/2
Let -8*t**3 - t**4 - 20*t**3 + 16 - 25*t - 27*t + 60*t**2 + 5*t**4 = 0. Calculate t.
1, 4
Let t be 10 - (5 - (-2 + 3)) - 11 - -7. Determine y, given that 0 - 2/7*y**4 + 2/7*y + 6/7*y**3 - 6/7*y**t = 0.
0, 1
Let g(l) be the first derivative of 1/9*l**3 + 0*l + 1/3*l**2 + 10 - 1/12*l**4. Factor g(k).
-k*(k - 2)*(k + 1)/3
Suppose 0 = -5*z + 21 + 4. Find h such that -10*h**4 - 4*h**2 - 4*h**3 - 6*h**3 - z*h**3 + h**3 = 0.
-1, -2/5, 0
Let p be 0/((-7)/(21/6)). Suppose -m - 4*x + 10 = p, -2*m + 6 = 2*m - x. Determine g so that 32*g - g**3 - 32*g + g**m = 0.
0, 1
Let x(t) = 4*t**4 - 4*t**3 - 6*t**2 - 12*t. Let g(f) = -2*f**4 + 2*f**3 + 4*f**2 + 6*f. Let l(a) = -7*g(a) - 3*x(a). Factor l(w).
2*w*(w - 3)*(w + 1)**2
Let r(m) be the first derivative of m**5 - 5*m**4/4 - 15*m**3/2 - 5*m**2 + 21*m + 11. Let k(y) be the first derivative of r(y). Factor k(s).
5*(s - 2)*(s + 1)*(4*s + 1)
Let u(o) be the second derivative of 0 - 1/1260*o**6 + 0*o**2 + 2/105*o**5 + 4/3*o**3 - 4/21*o**4 + 2*o. Let s(q) be the second derivative of u(q). Factor s(h).
-2*(h - 4)**2/7
Let m(b) be the third derivative of -9/4*b**5 + 10/3*b**3 + 9/8*b**6 + 0*b - 17*b**2 + 0 + 0*b**4. Solve m(q) = 0 for q.
-1/3, 2/3
Find r, given that 5 + 3*r**3 - 14*r**2 + 20*r**2 - 9 - 5 - 9*r**2 - 15*r = 0.
-1, 3
Let s(u) be the first derivative of -5/3*u**3 + 21 + 0*u - 5/2*u**2. Factor s(f).
-5*f*(f + 1)
Suppose 6*w - 39 + 81 = 0. Let u be 26/w - 112/(-28). Factor -4/7*g**2 + u - 4/7*g**3 + 2/7*g**4 + 2/7*g + 2/7*g**5.
2*(g - 1)**2*(g + 1)**3/7
Let n be 2/13 - 2396/26. Let z = -274/3 - n. Solve 4/3 - z*g**2 + 2/3*g = 0 for g.
-1, 2
Let p(g) be the second derivative of 2*g**7/105 - 37*g**6/150 + 9*g**5/100 - 32*g + 4. Factor p(j).
j**3*(j - 9)*(4*j - 1)/5
Determine u, given that 1815*u**2 - 607*u**2 - 607*u**2 - 995*u - 606*u**2 = 0.
-199, 0
Let r(n) = -39*n**2 + 2. Let i be r(0). Suppose -110/3*y**i - 8 + 50/3*y**3 - 112/3*y = 0. Calculate y.
-2/5, 3
Let l(j) be the third derivative of -1/30*j**6 + 0 + 0*j + 5/168*j**8 + 0*j**5 + 1/35*j**7 + 16*j**2 + 0*j**3 + 0*j**4. Find h such that l(h) = 0.
-1, 0, 2/5
Let w(p) = 16*p**3 - 199*p**2 - 11*p + 11. Let q(i) = 9*i**3 - 99*i**2 - 6*i + 6. Let j(t) = -11*q(t) + 6*w(t). Factor j(l).
-3*l**2*(l + 35)
Let s = 4627/9 - 514. Let g(z) be the second derivative of 0 - s*z**2 + 10*z - 1/54*z**4 - 2/27*z**3. Factor g(f).
-2*(f + 1)**2/9
Let c be (-156)/(-91) + 72/(-42). Let 2/3*a + c*a**2 - 2/9*a**3 + 4/9 = 0. Calculate a.
-1, 2
Let u(t) be the third 