p(y) be the second derivative of -27*y**5/20 - 29*y**4/2 - 110*y**3/9 - 4*y**2 + 2*y + 4. Find f such that p(f) = 0.
-6, -2/9
Let l = 1560 + -1557. Factor -3/5*m**5 + 6/5*m**2 - 3/5 - 3/5*m**4 + 6/5*m**l - 3/5*m.
-3*(m - 1)**2*(m + 1)**3/5
Let g(d) = -3*d**2 + 44*d + 47. Let m(l) = -l**2 - l. Let o(z) = -g(z) + 2*m(z). Determine s so that o(s) = 0.
-1, 47
Factor -3622 + y**2 + 3727 + 98*y + 8*y.
(y + 1)*(y + 105)
Let w(o) be the second derivative of o**5/110 - 2*o**4/11 + 16*o**3/11 - 64*o**2/11 - 2*o + 1. Factor w(m).
2*(m - 4)**3/11
Let b(w) be the third derivative of w**6/18 - 35*w**5/36 + 5*w**4 - 10*w**3 - 48*w**2. Find f such that b(f) = 0.
3/4, 2, 6
Let z(w) = 29*w**2 + 2325*w + 117646. Let l(s) = -5*s**2 - 387*s - 19608. Let x(y) = -34*l(y) - 6*z(y). Factor x(h).
-4*(h + 99)**2
Let w be (-9)/(-21) - 3/7. Let u(z) be the second derivative of 1/3*z**3 - 5*z - 3/40*z**5 + w*z**2 - 1/6*z**4 + 0. Find o such that u(o) = 0.
-2, 0, 2/3
Let o be (-1 - -1) + ((-141)/9 - -7). Let v = o + 139/15. Factor v*n**2 + 12/5 - 12/5*n.
3*(n - 2)**2/5
Let w = -7/44 + 8/33. Let v(l) be the second derivative of 7*l + w*l**4 - 1/5*l**5 + 2/3*l**3 - 1/2*l**2 + 0. Determine t, given that v(t) = 0.
-1, 1/4, 1
Suppose 5*y - 12 = -2*c, -c + 417 = 2*y + 411. Factor 2/17*a**2 + 2/17*a + y.
2*a*(a + 1)/17
Let x be 3/(-12) + 3/12. Suppose x = -3*u + 8*u - 15. Factor 4*b**4 + 2*b**3 + 2*b**4 + 0*b**3 + u*b**5 + b**3.
3*b**3*(b + 1)**2
Let z(n) be the second derivative of n**5/20 - 5*n**4/3 + 3*n**3 + 21*n**2/2 - 19*n. Let p be z(19). Suppose -g**4 + 0 + 2/3*g + g**p - 2/3*g**3 = 0. What is g?
-1, -2/3, 0, 1
Suppose -109 = -8*g + 97 - 14. Find h such that -242/3*h**5 - 74/3*h**3 - g*h**2 + 0 - 8/3*h + 132*h**4 = 0.
-2/11, 0, 1
Let l(c) be the third derivative of c**8/6720 + c**7/336 + c**6/40 + c**5/3 + 7*c**2. Let d(x) be the third derivative of l(x). Suppose d(o) = 0. What is o?
-3, -2
Let b(h) be the second derivative of 1/54*h**4 - 14*h + 5/27*h**3 + 2/3*h**2 + 0. Factor b(u).
2*(u + 2)*(u + 3)/9
Let o be (-416)/(-68) - (-10)/(-85). Factor -3/2*k - o*k**2 + 0.
-3*k*(4*k + 1)/2
Let f be -9 - (120/(-13) + (30 - 5805/195)). Factor 2/5*k**2 + 1/5*k**3 + f + 1/5*k.
k*(k + 1)**2/5
Suppose 5*l - v + 55 - 78 = 0, 0 = -v + 2. Let w(q) be the first derivative of -q**2 + 0*q + q**3 + 7/5*q**l - 11 + 3*q**4. Factor w(m).
m*(m + 1)**2*(7*m - 2)
Let m = 13 - 5. Let i be 8/12 + m/6. Factor -8*z**3 - 3*z**2 + 5*z**3 + 3*z**i.
-3*z**3
Let j(c) = -3*c**2 + 20*c. Let z be j(0). Suppose -4/7 + z*d - 4/7*d**4 + 0*d**3 + 8/7*d**2 = 0. Calculate d.
-1, 1
Let q(f) be the third derivative of -f**8/1344 + f**7/504 + 23*f**4/24 + 17*f**2. Let m(w) be the second derivative of q(w). Factor m(n).
-5*n**2*(n - 1)
Let n(b) = -3*b**2 - 104*b - 140. Let v(c) = c**2 + 53*c + 70. Suppose 10*m - 32 = 2*m. Let s(t) = m*n(t) + 7*v(t). Find u, given that s(u) = 0.
-7, -2
Let h(z) be the third derivative of -z**5/30 + 5*z**4/12 - 4*z**3/3 + 3*z**2 - 23. What is b in h(b) = 0?
1, 4
Let t be ((-2)/(-20))/((-3)/(-12)). Suppose -5*i - 20 = -4*c, -2*i + 4*c = 2*i + 20. What is y in i + 4/5*y - t*y**2 = 0?
0, 2
Let d = 103 - 90. Determine w so that -d + 13 - 10*w**3 + 9*w**3 = 0.
0
Let f(p) be the third derivative of -p**5/270 + p**4/36 - 2*p**3/27 + 83*p**2. Determine b so that f(b) = 0.
1, 2
Let -72*d + 97/2*d**2 + 32 + 1/2*d**4 - 9*d**3 = 0. Calculate d.
1, 8
Let m = 129 - 125. Solve 2*k**2 - 4 + 2 + 5*k**4 + 1 - 6*k**m = 0.
-1, 1
Factor 4 + 1/5*v**2 + 12/5*v.
(v + 2)*(v + 10)/5
Let y(x) be the second derivative of 24/5*x**5 - 8 + 0*x**2 - 2*x - 64*x**4 + 1024/3*x**3 - 2/15*x**6. Solve y(t) = 0 for t.
0, 8
Let w(b) be the second derivative of 0 + 0*b**3 + 3/2*b**2 + 13*b - 1/4*b**4. Let w(l) = 0. Calculate l.
-1, 1
Let l(i) be the third derivative of -i**9/1008 - 3*i**8/560 - i**7/140 + 2*i**3 - 7*i**2. Let m(g) be the first derivative of l(g). Factor m(j).
-3*j**3*(j + 1)*(j + 2)
Let l(f) be the second derivative of f**4/60 - 5*f**2/2 + 87*f. Factor l(m).
(m - 5)*(m + 5)/5
Factor 115*c**2 + 23*c + 105 + 0*c + 100*c + 92*c + 5*c**3.
5*(c + 1)**2*(c + 21)
Let x = -4/1039 + 1059/5195. Let n be 3/2 + 3/10. Determine y so that -4/5*y**4 + 0 - 6/5*y**2 + x*y + n*y**3 = 0.
0, 1/4, 1
Let x be (-5 - -5)*(-6)/(-36). Let l(c) be the second derivative of 0*c**4 + 0*c**2 + 1/30*c**6 + 0*c**5 + 0*c**3 - 6*c + x - 1/42*c**7. Factor l(r).
-r**4*(r - 1)
Factor -35*u**2 - 12 - 28*u**2 + 35*u**2 - 3*u**4 + 3*u**3 - 21*u**3 - 11*u**2 - 36*u.
-3*(u + 1)**2*(u + 2)**2
Let k(l) be the second derivative of 1/16*l**4 + 1/2*l**2 + 0 - 1/160*l**5 - 1/4*l**3 + 19*l. Factor k(u).
-(u - 2)**3/8
Let h(j) be the third derivative of j**7/4620 - j**6/495 + j**5/132 - j**4/66 + j**3/6 + 12*j**2. Let d(k) be the first derivative of h(k). Factor d(r).
2*(r - 2)*(r - 1)**2/11
Let l(u) = 2*u**2 + 2. Let w be l(3). Suppose -2*v = 5*s - w, -v + 0*v - 8 = -2*s. Factor -s*o**4 + 16*o**5 + 21*o**5 - 41*o**5.
-4*o**4*(o + 1)
Factor 7*s**4 - 10*s**4 - 172*s**2 + 325*s**2 - 18*s**3 - 31*s - 91*s - 10*s.
-3*s*(s - 4)*(s - 1)*(s + 11)
Suppose -11*g = -c - 34, 3*c - 47 + 1 = -4*g. Let z(j) be the first derivative of -c + 8/15*j**3 + 4/5*j + j**2 + 1/10*j**4. Factor z(y).
2*(y + 1)**2*(y + 2)/5
Let s(q) be the first derivative of -8*q - 1/84*q**4 + 0*q**3 + 1/14*q**2 + 2. Let t(i) be the first derivative of s(i). Factor t(a).
-(a - 1)*(a + 1)/7
Let m(c) be the second derivative of 22*c - 1/27*c**3 + 1/6*c**4 + 1/27*c**6 + 0 + 13/90*c**5 - 2/9*c**2. Find d, given that m(d) = 0.
-1, 2/5
Let h(j) = j**4 - j**3 + j**2. Let v(t) = t + t**4 + 4*t**2 - 6*t**3 + t**4 + 0*t**3 + 4*t**4. Let i(w) = 15*h(w) - 3*v(w). What is n in i(n) = 0?
-1, 0, 1
Let c(g) = -g**2 - 7*g - 6. Let v be c(-5). Let x(w) be the second derivative of 3/2*w**3 + 3*w**2 + 0 + 1/4*w**v + 5*w. Determine o so that x(o) = 0.
-2, -1
Suppose 0 = 139*k - 131*k. Let f(y) be the third derivative of 0 - 3*y**2 + 1/24*y**4 - 1/60*y**5 + 1/3*y**3 + k*y. Factor f(j).
-(j - 2)*(j + 1)
Let w(d) be the third derivative of 1/168*d**8 + 0*d - 1/30*d**5 + 0*d**3 + 0 + 0*d**4 + 1/20*d**6 + 14*d**2 - 1/35*d**7. Factor w(z).
2*z**2*(z - 1)**3
Let n(t) be the second derivative of 2/3*t**2 + 3*t + 1/252*t**7 - 1/24*t**5 - 5/36*t**4 + 1/9*t**3 + 0 + 1/90*t**6. Find f such that n(f) = 0.
-2, -1, 1, 2
Let x(t) = t**2 - t + 1. Let h(z) = -2*z**2 - 295*z - 140. Let v(b) = -h(b) + 4*x(b). Find m such that v(m) = 0.
-48, -1/2
Suppose -80*s = -82*s. Let f be -1 - (-6)/(2/1). Find z, given that 0 + s*z - 3/4*z**f = 0.
0
Let d(r) = -r**3 - 15*r**2 + 14*r - 35. Let l be d(-16). Let z be l/(-90) - (-1)/6. Find u such that 0*u + 1/5*u**2 + 0*u**3 - z*u**4 + 0 = 0.
-1, 0, 1
Let r = -241 - -4821/20. Let n(u) be the second derivative of 0*u**2 + 0 - 1/3*u**3 + r*u**5 + 1/12*u**4 - u. Factor n(g).
g*(g - 1)*(g + 2)
Suppose -33 - 24 - 7 = -16*y. Factor 75/2*p - 27/2*p**3 + 45/2*p**2 + 3/2*p**y + 0.
3*p*(p - 5)**2*(p + 1)/2
Suppose -2/11*a**2 - 2/11*a**5 + 2/11*a**4 + 0*a + 0 + 2/11*a**3 = 0. Calculate a.
-1, 0, 1
Let p(k) be the second derivative of -k**8/17640 - k**7/2940 - k**6/1890 - 17*k**3/6 + 16*k. Let v(w) be the second derivative of p(w). Factor v(g).
-2*g**2*(g + 1)*(g + 2)/21
Factor 16/3*x**3 - 10/3*x**4 - 4/3*x + 0 - 2/3*x**2.
-2*x*(x - 1)**2*(5*x + 2)/3
Suppose 0 = 4*y - 22 + 2. Factor y*i - 24*i**2 + 6*i + 2 - 23*i + 10*i.
-2*(3*i + 1)*(4*i - 1)
Factor 363/8*t**2 + 0*t + 69/8*t**4 + 0 - 429/8*t**3 - 3/8*t**5.
-3*t**2*(t - 11)**2*(t - 1)/8
Let z(i) be the third derivative of -5*i**6/8 + 19*i**5/4 - 8*i**4 + 6*i**3 + 323*i**2. Factor z(j).
-3*(j - 3)*(5*j - 2)**2
Let i(c) be the third derivative of c**7/385 + 43*c**6/165 - 58*c**5/165 + 2*c**2 - 6. Factor i(r).
2*r**2*(r + 58)*(3*r - 2)/11
Factor -29/10*y**2 - 1/10*y**4 - 7/5*y - 8/5*y**3 + 0.
-y*(y + 1)**2*(y + 14)/10
Let j = -280212/11 + 25474. What is d in 18/11*d + j*d**3 + 8/11 + 12/11*d**2 = 0?
-4, -1
Suppose 0 = -4*v + 5*z - 505, -3*z + 108 = -v - 27. Let d be (5/(v/16))/((-10)/6). Let d*y**3 + 0*y + 2/5*y**2 + 0 = 0. Calculate y.
-1, 0
Let t(j) be the first derivative of -9*j**3 + 20 + 27*j + 3/4*j**4 - 3/2*j**2. Solve t(k) = 0 for k.
-1, 1, 9
Let p(n) be the second derivative of -5/6*n**4 + 0 + 0*n**2 + 1/10*n**5 + 32*n + 4/3*n**3. Factor p(q).
2*q*(q - 4)*(q 