erivative of 0*s**2 + 1/2340*s**6 + 0 + 3/52*s**4 - 1/3*s**3 - 1/130*s**5 + 2*s. Let k(p) be the second derivative of a(p). Factor k(x).
2*(x - 3)**2/13
Let o(p) = p**2 - p. Let f(q) = 5*q**2 + 15*q + 4*q**2 - 7*q**2 + 64. Let t(l) = -3*f(l) + 3*o(l). Let t(m) = 0. Calculate m.
-8
Let z(y) be the second derivative of -4/105*y**6 + 0 - 5/14*y**4 - 1/7*y**2 - 2*y + 1/3*y**3 + 13/70*y**5. Factor z(n).
-2*(n - 1)**3*(4*n - 1)/7
Let j be 100/(-120)*(-15)/40. Let k(g) be the first derivative of -3/4*g**3 + 7/8*g**2 + j*g**4 - 1/20*g**5 - 8 - 1/2*g. Solve k(t) = 0 for t.
1, 2
Let d(j) = 4*j**5 - 30*j**3 - 20*j**2 - 6*j + 6. Let w(l) = 9*l**5 + 2*l**4 - 61*l**3 - 40*l**2 - 12*l + 13. Let a(x) = -13*d(x) + 6*w(x). Factor a(g).
2*g*(g + 1)**3*(g + 3)
Let p be (-1)/(((-24)/315)/8). Find v such that -p*v**3 + 20*v + 5*v**2 + 101*v**3 + 12 - v**2 = 0.
-1, 3
Factor -81*w**3 + 198*w**2 + 90*w**2 - 9*w**4 - 270*w - 6*w + 12*w**4.
3*w*(w - 23)*(w - 2)**2
Suppose 0*t**2 + 0 + 2/7*t**3 - 2/7*t = 0. What is t?
-1, 0, 1
Let s(a) be the third derivative of -a**9/48384 - a**8/2688 - 5*a**7/4032 + 19*a**5/30 - 8*a**2. Let m(h) be the third derivative of s(h). Solve m(o) = 0 for o.
-5, -1, 0
Let h = -8654 + 129838/15. Solve -2/3 - h*j + 2/5*j**2 = 0.
-1/3, 5
Let j(b) be the second derivative of 49*b**6/900 + 14*b**5/75 + 4*b**4/15 + b**3 - 6*b. Let y(f) be the second derivative of j(f). What is u in y(u) = 0?
-4/7
Factor 11*l + 61 - 11 + 24*l + 5*l**2.
5*(l + 2)*(l + 5)
Factor -72/7*d**4 + 54/7*d**3 - 12/7*d**2 + 0*d + 0 + 30/7*d**5.
6*d**2*(d - 1)**2*(5*d - 2)/7
Let p(o) be the first derivative of o**7/840 + o**6/72 + o**5/15 + o**4/6 + 7*o**3/3 - 29. Let r(u) be the third derivative of p(u). Factor r(b).
(b + 1)*(b + 2)**2
Let y be (-1 + (44/10 - 3))*2. Let t = 222/215 - 10/43. Factor 2/5*g**5 - y + 0*g**4 - 8/5*g**3 + t*g**2 + 6/5*g.
2*(g - 1)**3*(g + 1)*(g + 2)/5
Let t(g) be the first derivative of -10 + 2*g**2 + 0*g + 2*g**3 + 5/3*g**6 - 7/2*g**4 - 6/5*g**5. Find h such that t(h) = 0.
-1, -2/5, 0, 1
Let o(s) = -s**3 + 12*s**2 + 12*s + 17. Let p be o(13). Let u be p - 3/((-3)/(-2)). Solve -u*j + j**2 + j**2 + 0*j**2 = 0.
0, 1
Let q(t) = -26*t**4 - 296*t**3 - 17*t - 51. Let f(v) = -9*v**4 - 99*v**3 - 6*v - 18. Let h(l) = -17*f(l) + 6*q(l). Factor h(m).
-3*m**3*(m + 31)
Let q = 984130/9 - 95459410/873. Let t = -4/97 + q. Factor -t + 14/3*h + 4/3*h**3 - 14/3*h**2.
2*(h - 2)*(h - 1)*(2*h - 1)/3
Let u(y) be the second derivative of -y**5/4 + 15*y**4/4 + 85*y**3/3 + 60*y**2 + 207*y. Solve u(r) = 0 for r.
-2, -1, 12
Let q(a) be the third derivative of -a**7/63 + 17*a**6/180 - 7*a**5/30 + 11*a**4/36 - 2*a**3/9 + 59*a**2. Suppose q(u) = 0. Calculate u.
2/5, 1
Let g(a) = -10*a**4 - 17*a**3 - 47*a**2 - 14*a + 74. Let x(h) = 7*h**4 + 11*h**3 + 31*h**2 + 10*h - 49. Let l(c) = 5*g(c) + 7*x(c). What is d in l(d) = 0?
-3, 1
Let j(z) be the first derivative of -z**4 + 3 + 3/20*z**5 + 0*z**2 + 2*z**3 - 4*z. Factor j(l).
(l - 2)**3*(3*l + 2)/4
Factor -3/2*x - 39*x**4 + 51*x**3 + 21/2*x**5 + 3 - 24*x**2.
3*(x - 1)**4*(7*x + 2)/2
Let o(a) be the third derivative of 13*a**5/12 + 95*a**4/12 + 20*a**3 - 80*a**2 - 2*a. Factor o(z).
5*(z + 2)*(13*z + 12)
Let s(v) be the second derivative of -v**5/200 - v**4/20 - 11*v**3/60 - 3*v**2/10 - 189*v + 2. Factor s(x).
-(x + 1)*(x + 2)*(x + 3)/10
Factor 290*o**2 + 44*o - o**4 - 607*o**2 + 10*o**3 + 284*o**2 - 20.
-(o - 5)*(o - 2)**2*(o - 1)
Let l(z) be the third derivative of -4*z**2 + 0*z + 1/45*z**5 - 1/90*z**6 + 0*z**3 + 0 + 1/9*z**4. Let l(d) = 0. Calculate d.
-1, 0, 2
Solve -38/15*i - 1152/5*i**4 - 28/15 + 212/5*i**2 + 96/5*i**3 + 162/5*i**5 = 0.
-1/3, -2/9, 1/3, 7
Let c(a) = 436*a + 7414. Let l be c(-17). Find v such that 1 + 3*v + 1/4*v**4 + 13/4*v**l + 3/2*v**3 = 0.
-2, -1
Factor -24*h**3 + 44*h**2 + 2*h**5 + 68*h**2 - 2*h**4 - 32*h - 56*h**2.
2*h*(h - 2)**2*(h - 1)*(h + 4)
Let h be 889*(-6)/(-825) - (-84)/1050. Factor 2/11*a**3 + 24/11*a**2 + h*a + 0.
2*a*(a + 6)**2/11
Let h(z) be the first derivative of 2*z**6/21 + 32*z**5/35 + 23*z**4/7 + 16*z**3/3 + 24*z**2/7 - 220. Determine c so that h(c) = 0.
-3, -2, -1, 0
Let q(c) be the first derivative of -c**4/10 + 24*c**3/5 - 69*c**2/5 + 68*c/5 + 41. Determine h, given that q(h) = 0.
1, 34
Let m = 121 + -112. Factor 5*p**2 + 9*p**3 + p**2 - 2*p**4 - 22*p**3 + m*p**3.
-2*p**2*(p - 1)*(p + 3)
Factor 2/13*q**4 + 0 + 0*q**2 + 2/13*q**3 + 0*q.
2*q**3*(q + 1)/13
Factor 1014 + 1066*l + 41/3*l**3 + 1/6*l**4 + 1837/6*l**2.
(l + 2)**2*(l + 39)**2/6
Let w(y) be the first derivative of y**5/15 - 9*y**2/2 + 27. Let l(n) be the second derivative of w(n). Solve l(t) = 0.
0
Let k(b) = -b**3 - 15*b**2 + 5. Let u be k(-15). Factor 6*c**2 + 16*c**4 - c**u - 67*c**3 + 47*c**3 + 2*c**2 - 3*c**5.
-4*c**2*(c - 2)*(c - 1)**2
Let l = 2693/2 + -1346. Find b such that 1/4*b**3 + l*b**2 + 1/4*b + 0 = 0.
-1, 0
Let g(v) be the third derivative of -2*v**7/105 - 7*v**6/15 - 64*v**5/15 - 16*v**4 - 2*v**2 + 26*v. Find m, given that g(m) = 0.
-6, -4, 0
Let q = 10466 + -10461. Let -36/5*o**3 + 12/5*o**q - 16/5*o - 8/5*o**4 + 0 + 48/5*o**2 = 0. What is o?
-2, 0, 2/3, 1
Suppose -118*r + 88 = -74*r. Factor -3/7*z**r - 9/7*z + 0.
-3*z*(z + 3)/7
Let y(g) be the third derivative of g**6/40 - 7*g**5/60 - g**4/4 + 228*g**2 + 1. Determine v so that y(v) = 0.
-2/3, 0, 3
Factor 0 + 0*u + 16/5*u**3 + 2/15*u**4 + 46/15*u**2.
2*u**2*(u + 1)*(u + 23)/15
Let m(u) be the first derivative of u**5 - 25*u**4/4 + 35*u**3/3 - 15*u**2/2 - 106. Factor m(a).
5*a*(a - 3)*(a - 1)**2
Let j(y) be the third derivative of y**7/42 - y**6/3 + y**5/2 + 5*y**4/3 - 35*y**3/6 + 581*y**2. What is i in j(i) = 0?
-1, 1, 7
Factor -15/7*i**2 - 6/7*i - 6/7*i**3 + 0.
-3*i*(i + 2)*(2*i + 1)/7
Let v = -16 + 12. Let o(d) = -3*d**4 + 3*d**3. Let m(c) = -c**4 + c**2. Let l(b) = v*m(b) + o(b). Determine h so that l(h) = 0.
-4, 0, 1
Suppose 6459 = -23*o + 6505. Factor 0 + 6/5*w + 21/5*w**o + 3*w**3.
3*w*(w + 1)*(5*w + 2)/5
Let q(x) be the second derivative of -5*x**8/672 + x**6/48 - 5*x**2 - 15*x. Let k(v) be the first derivative of q(v). Factor k(m).
-5*m**3*(m - 1)*(m + 1)/2
Let v be ((-18)/(-10)*1)/(486/810). Let r(d) be the first derivative of -8/3*d**v + 8*d - d**4 + 6 + 2*d**2. Factor r(u).
-4*(u - 1)*(u + 1)*(u + 2)
Find g such that 76/13*g**2 + 36/13*g**5 - 16/13 + 8/13*g - 2*g**3 - 6*g**4 = 0.
-2/3, 1/2, 1, 2
Suppose 2*z = -63*z. Suppose -4/3*p**5 + z + 80/3*p**2 - 80/3*p**4 + 400/3*p - 132*p**3 = 0. What is p?
-10, -1, 0, 1
Solve 11*t**4 + 42*t**4 + 270*t**2 + 2*t**4 - 210*t**3 + 135*t + 81*t**5 - 86*t**5 - 405 = 0 for t.
-1, 3
Let j(m) be the first derivative of m**4/16 - m**3/12 + 88. Factor j(k).
k**2*(k - 1)/4
Factor 261/2*q - 51 - 15/2*q**2.
-3*(q - 17)*(5*q - 2)/2
Let c(w) be the first derivative of w**6/90 - w**5/15 + w**4/9 + 18*w + 11. Let d(l) be the first derivative of c(l). Factor d(r).
r**2*(r - 2)**2/3
Let r(k) be the third derivative of -k**6/420 - k**5/70 + 3*k**4/28 - 5*k**3/21 - 576*k**2. Find h such that r(h) = 0.
-5, 1
Let m be (-54 + -2 + 4)*-1. Let a = m - 43. Suppose 15/2*v**3 + 2*v**2 - a*v**4 + 0 - 2*v = 0. What is v?
-1/2, 0, 2/3
Let v(l) = -5*l - l - 3 + l + 8*l**2. Let z(d) = -7*d**2 + 4*d + 3. Let w(k) = -2*k + 8. Let n be w(6). Let i(u) = n*v(u) - 5*z(u). Factor i(h).
3*(h - 1)*(h + 1)
Let i be (-1320)/(-198)*((-2)/25)/((-3)/15). Factor -i*x + 2/3*x**3 + 0 + 0*x**2.
2*x*(x - 2)*(x + 2)/3
Factor 16 + 2/5*x**2 - 44/5*x.
2*(x - 20)*(x - 2)/5
Let g(r) = -r**2 + 2. Let n(v) = -5*v**2 - 14*v + 23. Let o(t) = 20*g(t) - 5*n(t). Let o(f) = 0. What is f?
-15, 1
Suppose 32 = 4*u + 4*r, 4*u + 5*r = 2*r + 30. Let b(g) be the second derivative of -g**2 - 1/15*g**u - g**4 + 2/5*g**5 + 0 - 2*g + 4/3*g**3. Factor b(k).
-2*(k - 1)**4
Let r(v) = -5*v**2 + 9*v + 6. Let b(s) be the second derivative of -s**3/6 - 15*s. Let u(a) = -4*b(a) - 2*r(a). Factor u(i).
2*(i - 2)*(5*i + 3)
Let r(s) be the first derivative of s**6/3 - 16*s**5/5 + 25*s**4/2 - 76*s**3/3 + 28*s**2 - 16*s + 79. Solve r(q) = 0.
1, 2
Let p(v) be the first derivative of -7*v**6/9 + 46*v**5/15 - 10*v**4/3 + 8*v**3/9 + 111. Solve p(o) = 0 for o.
0, 2/7, 1, 2
Factor -7*k**2 + 103*k + 11*k**2 - 115*k - 6*k**3 + 18*k**2.
-2*k*(k - 3)*(3*k - 2)
Let q(c) be the second derivative of -5/2*c**3 - 10*c*