(h) be the second derivative of -h**6/280 - 12*h**5/35 - 75*h**4/8 + 625*h**3/7 + 29*h**2/2 + 120*h. Let j(t) be the first derivative of f(t). Factor j(s).
-3*(s - 2)*(s + 25)**2/7
Suppose 19*b + 19 = 5*u, -9*u - 2 = -11*u + 2*b. Let l(i) be the third derivative of 0*i + u + 9/10*i**5 - 7/8*i**4 - 1/8*i**6 - 3*i**3 - i**2. Factor l(v).
-3*(v - 3)*(v - 1)*(5*v + 2)
Let l(j) = 625*j - 32498. Let z be l(52). Solve 2/9*c**z + 800/9 - 80/9*c = 0.
20
Suppose -3*f = 4*y - 29, -25 = -23*f + 20*f - 2*y. Let j be (f/(-84)*2)/((-4)/18). Factor -1/4*x**2 - j*x**3 + 0 + 0*x - 3/4*x**4 - 1/4*x**5.
-x**2*(x + 1)**3/4
Let m be -39 + (-30079)/(-637) - (-96)/104. Solve 304/7*a - 320/7 - m*a**2 - 4/7*a**3 = 0 for a.
-20, 2
Let m be (0/(-2))/((-28)/280*-20). Suppose -1/3*s**3 - 5/3*s**2 + 0*s + m = 0. What is s?
-5, 0
Let c(l) be the first derivative of -l**3/4 - 63*l**2/4 + 138*l - 1102. Suppose c(z) = 0. Calculate z.
-46, 4
Let d = 2/50107 - -150317/100214. Let j(f) be the second derivative of 3/2*f**3 + 0 - d*f**2 - 32*f + 3/20*f**5 - 3/4*f**4. Determine l so that j(l) = 0.
1
Let k(b) be the third derivative of -13*b**2 - 13/3*b**3 - 1/6*b**4 + 0 - 1/390*b**5 + 0*b. Factor k(l).
-2*(l + 13)**2/13
Suppose -156 = -8*z + 12. Suppose -3*v + 3*r = 3, 0 = -4*v - 2*r - 7 + z. Factor v*m**2 + 21 + 16*m + 11*m**2 - 5 - 9*m**2.
4*(m + 2)**2
Let u(i) be the first derivative of -1/15*i**3 - 133 + 0*i + 1/2*i**2. Factor u(g).
-g*(g - 5)/5
Suppose -28 = -5*c + 3*o, c - 28 = 4*o - 2. Let s(b) be the second derivative of 1/2*b**4 + 0*b**c - 3/20*b**5 + 3/2*b**3 + 0 + 24*b. Factor s(l).
-3*l*(l - 3)*(l + 1)
Let s be 6/4 - 34/(-68). Determine v, given that 18 + 12*v + 235*v**2 + 231*v**2 - 464*v**s = 0.
-3
Let k(i) be the second derivative of -5/4*i**4 + 1/3*i**6 + 0*i**2 - i - 18 - 1/4*i**5 + 0*i**3. Let k(l) = 0. Calculate l.
-1, 0, 3/2
Let b(h) = 3*h - 28. Let o = -40 - -50. Let i be b(o). Determine u, given that 2*u**5 - 99*u**3 + 4*u**2 + 3*u**4 + 0*u**i + 109*u**3 + 5*u**4 = 0.
-2, -1, 0
Factor -1327*w**3 + 2587*w**3 - 60*w**4 - w**5 - 4*w**5 + 15680*w**2.
-5*w**2*(w - 16)*(w + 14)**2
Let q(n) be the third derivative of -5*n**2 - 1/168*n**6 - 2*n + 0*n**3 - 1/35*n**5 + 0 - 1/42*n**4. Factor q(d).
-d*(d + 2)*(5*d + 2)/7
Factor 3296/3*m - 1357952/3 - 2/3*m**2.
-2*(m - 824)**2/3
Factor 189/2 + 95*m + 1/2*m**2.
(m + 1)*(m + 189)/2
Let x(c) be the first derivative of 512*c - 4 + 2/3*c**3 - 32*c**2. Factor x(r).
2*(r - 16)**2
Let r(o) = -11*o**2 - 169*o. Let x(c) = 86*c - 257*c + 893*c**2 - 1795*c**2 + 893*c**2. Let p(i) = 2*r(i) - 3*x(i). Factor p(m).
5*m*(m + 35)
Let m(l) be the second derivative of -5*l**7/126 + 26*l**6/45 + 263*l**5/60 - 71*l**4/18 - 28*l**3/3 + 1047*l - 1. Find j, given that m(j) = 0.
-4, -3/5, 0, 1, 14
Let q be -11 - (241/(-4) + 19). Factor -11/2*v - q - 1/4*v**2.
-(v + 11)**2/4
Let r(i) = i**4 - 31*i**3 - 9*i**2 + 122*i - 80. Let a(v) = -2*v**4 + 34*v**3 + 10*v**2 - 124*v + 80. Let l(q) = -3*a(q) - 2*r(q). Factor l(d).
4*(d - 10)*(d - 1)**2*(d + 2)
Let t(x) = 26*x - 103. Let y be t(8). Let b be 76/y - (-8)/60. Factor 36/7 - 30/7*n + b*n**2.
6*(n - 3)*(n - 2)/7
Let j(v) be the second derivative of -v**5/80 + 7*v**4/6 + v**3/24 - 7*v**2 + 4*v + 111. Suppose j(h) = 0. Calculate h.
-1, 1, 56
Let u(l) be the first derivative of l**4/8 - 26*l**3/3 - l**2 + 104*l - 1184. Let u(b) = 0. What is b?
-2, 2, 52
Let a(u) be the second derivative of -7*u**5/5 - 3236*u**4/3 - 616*u**3 - 995*u + 1. Factor a(s).
-4*s*(s + 462)*(7*s + 2)
Let y(g) be the third derivative of g**7/140 + g**6/80 - g**5/4 + g**4/2 + 1354*g**2 - g. Factor y(x).
3*x*(x - 2)*(x - 1)*(x + 4)/2
Let z(g) be the third derivative of -g**5/240 + 7*g**4/8 + 85*g**3/24 - 23*g**2 + 10*g - 4. Solve z(v) = 0 for v.
-1, 85
Find p, given that 1332/5*p**3 + 0 + 338/5*p**4 - 416/5*p + 1048/5*p**2 - 7/5*p**5 = 0.
-2, 0, 2/7, 52
Let w(x) = -9*x**4 - 90*x**3 + 319*x**2 - 12*x - 412. Let s(b) = b**4 - b**3 - 2*b**2 + b + 1. Let p(m) = -24*s(m) - 3*w(m). Suppose p(c) = 0. What is c?
-101, -1, 2
Let m(o) be the second derivative of -o**5/4 + 25*o**4/12 - 5*o**3/2 - 45*o**2/2 - 9*o + 46. Factor m(x).
-5*(x - 3)**2*(x + 1)
Let t(v) be the first derivative of 71*v**4/4 - 140*v**3/3 - 217*v**2/2 - 6*v - 743. Factor t(q).
(q - 3)*(q + 1)*(71*q + 2)
Let j be (-7*7/98)/((10/(-30))/(2/6)). Factor 1/2*b - b**2 - j*b**3 + 1.
-(b - 1)*(b + 1)*(b + 2)/2
Let f(k) = -3*k**3 - 240*k**2 + 33*k + 2642. Let w be f(-80). Determine s so that 0 + 0*s - 2/9*s**4 + 4/9*s**3 - 2/9*s**w = 0.
0, 1
Let f be -4 - (-10 - ((-1647)/(-60))/(-9)) - 3/4. Factor -2*g + f - 1/5*g**2.
-(g - 1)*(g + 11)/5
Solve -216/7 + 288*q - 1682/7*q**3 - 4350/7*q**2 = 0 for q.
-3, 6/29
Let o(c) be the first derivative of 0*c - 43 - 1/22*c**4 + 8/33*c**3 + 0*c**2. Find n such that o(n) = 0.
0, 4
Let b(z) = 42*z - 5409. Let k be b(129). Let v(d) be the first derivative of -1/4*d**4 - k*d + 13 + 5/3*d**3 - 3/2*d**2. Factor v(o).
-(o - 3)**2*(o + 1)
Let l(d) = -142*d**3 - d**2 - 3*d - 18. Let y be l(-4). Factor -6*r**2 - y + 9066 - 4*r**2 + 2*r**2 + r**3 - 33*r.
r*(r - 11)*(r + 3)
Let x(a) = 14*a**2 - 2*a - 4*a**3 - 39*a**2 + 51*a - 33. Let g(p) = 2*p**3 + 12*p**2 - 24*p + 16. Let c(i) = 13*g(i) + 6*x(i). Determine b, given that c(b) = 0.
-5, 1
Let z(m) be the third derivative of -5/3*m**3 + 1/15*m**5 - 1/120*m**6 + 0 + 10*m**2 + 7/24*m**4 - 3*m. Factor z(c).
-(c - 5)*(c - 1)*(c + 2)
Let u(a) = a**3 + 5*a**2 - 5*a + 10. Let v be u(-6). Factor -z**4 - 66*z**3 + z**4 - 2*z**4 - z**v.
-3*z**3*(z + 22)
Let h(a) be the third derivative of -a**5/330 - 19*a**4/132 - 34*a**3/33 + 22*a**2 - 27. Factor h(j).
-2*(j + 2)*(j + 17)/11
Factor -465/2*g - 147/8*g**3 + 33 + 1659/4*g**2.
-3*(g - 22)*(7*g - 2)**2/8
Suppose -12*m - 10 = -17*m. Let d = m - -8. Suppose 2*i**3 - 8*i + 10*i + 10*i + d*i**2 = 0. Calculate i.
-3, -2, 0
Let o(d) be the third derivative of 0*d**3 + 1/8*d**4 + 0*d**6 - 1/112*d**8 + 69*d**2 + 1/35*d**7 + 0*d - 1/10*d**5 + 0. Find r, given that o(r) = 0.
-1, 0, 1
Let v be (18/(-60)*5)/(-18)*6. Suppose 5/2*h + 7/2*h**3 - 11/2*h**2 - v*h**4 + 0 = 0. Calculate h.
0, 1, 5
Suppose -b + 9 = -10*b. Let v(u) = -590*u - 21906. Let t(g) = 2*g**2 + g - 1. Let c(x) = b*v(x) + 2*t(x). Factor c(p).
4*(p + 74)**2
Let q = 4693417/375474 + 4/187737. Let 35/2*g**2 - 45/2*g**3 + q*g**4 + 0 - 5*g - 5/2*g**5 = 0. What is g?
0, 1, 2
Let k be (-18)/9 + (-1 - -5). Find z, given that 3*z + 201*z + 48*z**3 - 6*z**3 + 300 + 216*z + 207*z**k + 3*z**4 = 0.
-5, -2
Let t(j) be the second derivative of -11/42*j**4 + 1/35*j**6 - 1 + 1/147*j**7 - 27*j - 1/10*j**5 + 8/7*j**2 + 2/7*j**3. Find g, given that t(g) = 0.
-4, -1, 1, 2
Let h(m) be the first derivative of 0*m - 1/9*m**3 + 2/3*m**2 + 25 - 1/3*m**4 + 1/15*m**5. Factor h(n).
n*(n - 4)*(n - 1)*(n + 1)/3
Let d(w) be the third derivative of 0 - 1/15*w**6 - 31*w - 1/30*w**7 + 4/15*w**5 + 0*w**4 + 0*w**3 - w**2 - 1/336*w**8. Factor d(r).
-r**2*(r - 1)*(r + 4)**2
Suppose 23*p - 84 = 26*p. Let u be 3/((-12)/p) + -5*1. Factor 3*q + 0 + 3/4*q**u.
3*q*(q + 4)/4
Determine a, given that 2*a**4 - 3541*a**2 - 6*a**3 + 3541*a**2 = 0.
0, 3
Let r be 42432/4352 + (1 - -1) + -11. Determine t, given that 1 - 1/2*t**3 + 1/4*t**4 + t - r*t**2 = 0.
-1, 2
Let f(c) be the third derivative of 0*c - 17*c**2 + 0*c**3 - 19/12*c**6 + 289/504*c**8 - 1/9*c**4 + 34/45*c**5 - 68/315*c**7 + 5. Find r such that f(r) = 0.
-1, 0, 2/17, 1
Let h = -67 + 75. Let c(r) = 90*r**4 - 1828*r**3 + 8946*r**2 - 4680*r + 648. Let f(w) = w**4 + w**3 + w**2. Let x(l) = h*f(l) + c(l). Factor x(j).
2*(j - 9)**2*(7*j - 2)**2
Let v(s) be the second derivative of -s**5/10 + 99*s**4/2 - 197*s**3 + 295*s**2 + 4306*s. Factor v(u).
-2*(u - 295)*(u - 1)**2
Let q be (-87)/58*((-2)/3 + -2). Let f be 1/q + (35/20 - 2). Factor f*l + 0*l**3 + 1/9*l**4 + 0*l**2 - 1/9*l**5 + 0.
-l**4*(l - 1)/9
Let d(o) = -22*o**2 - 202*o - 26. Let j(v) = -12*v**2 - 102*v - 14. Let p(n) = -7*d(n) + 13*j(n). Factor p(l).
-2*l*(l - 44)
Let x(d) be the first derivative of -2*d**5/5 + 41*d**4/8 - 12*d**3 - 592. Factor x(n).
-n**2*(n - 8)*(4*n - 9)/2
Let v(k) be the first derivative of -k**7/126 - 2*k**6/45 + 7*k**4/18 + 17*k**3/18 + k**2 + 64*k + 70. Let r(w) be the first derivative of v(w). Factor r(y).
-(y - 2)*(y + 1)**3*(y + 3)/3
