ate k.
1, 18
Factor -3/4*g**3 - 309/4*g - 159/4*g**2 - 153/4.
-3*(g + 1)**2*(g + 51)/4
Let c be (-4)/10 + 192/(-45) + 5. Let k(w) be the second derivative of 5*w - 1/3*w**2 + c*w**4 + 7/60*w**5 + 0 + 1/6*w**3. Factor k(x).
(x + 1)**2*(7*x - 2)/3
Let u(f) be the second derivative of -f**6/165 + f**5/11 - 29*f**4/66 + 32*f**3/33 - 12*f**2/11 - f - 29. Find v such that u(v) = 0.
1, 2, 6
Let c = -3910 + 7823/2. Find x, given that -3/4*x**2 - 3/4 + c*x = 0.
1
Find f, given that -2*f - 7*f + 12*f - 57*f**2 + 9*f**3 - 12*f**3 + 57 = 0.
-19, -1, 1
Let f be (6/(-15) - 4/(-10))/(-2). Suppose -3*n = -f*n. Find c such that 2/9*c**3 + n*c**2 - 2/3*c + 4/9 = 0.
-2, 1
Let n(v) be the first derivative of -v**3/9 - 7*v**2/6 - 2*v - 757. Solve n(i) = 0.
-6, -1
Suppose 2*p + 2*p + 3*h = -7, 4*p = 2*h + 18. Factor 6*a**2 - 3*a - 2 + 12*a**2 - 19*a**p.
-(a + 1)*(a + 2)
Let p(x) = -x + 2*x**2 - 5 + 3*x**2 - 3*x**2 + 6*x**2 + x**3. Let g be p(-8). Find l such that 3*l**2 + 0 + 0*l**2 + 12*l + g + 6 = 0.
-3, -1
Let u(z) be the third derivative of z**8/5040 + z**7/315 - z**6/36 + z**5/2 - 26*z**2. Let k(w) be the third derivative of u(w). Find d such that k(d) = 0.
-5, 1
Let v(y) = -2*y**3 + 20*y**2 + 3. Let p be v(10). Factor 5*l**3 - 8*l**3 - l**3 + l**p.
-3*l**3
Let o be (36/(-8))/(6/154). Let p = -112 - o. Suppose -5/2*v**4 + 5/2*v**2 + 9/2*v**3 - p*v**5 - v + 0 = 0. Calculate v.
-1, 0, 2/7, 1
Suppose 0 = -19*f + 43 + 14. Let n(v) be the second derivative of 0*v**2 + 2*v + 0 + 1/4*v**4 + 1/2*v**f. Factor n(l).
3*l*(l + 1)
Let i(d) be the third derivative of d**8/100800 + d**7/12600 - d**6/1200 + 31*d**5/60 + 30*d**2. Let b(y) be the third derivative of i(y). Factor b(n).
(n - 1)*(n + 3)/5
Suppose -11 - 1 = 6*a. Let j be (-3 - 10/(-7)) + (-6)/a. Find s such that j*s**2 - 8/7*s**3 - 4/7*s + 2/7*s**4 + 0 = 0.
0, 1, 2
Let z(m) be the third derivative of -m**5/20 - 5*m**4/8 - 2*m**3 + 65*m**2. Solve z(b) = 0 for b.
-4, -1
Let x(k) = k**3 + 26*k**2 + 30*k + 46. Let d be x(-25). Let a = d - -82. What is f in -3/4*f**5 - 1/4*f**a + 0*f**2 + f**4 + 0 + 0*f = 0?
0, 1/3, 1
Suppose 0 = 4*b - c - 45, -7*b + 9*b + 5*c = -5. Factor 60*x + 25 - 5*x**5 - b*x**2 + 23*x**3 + 15 - 78*x**3 - 30*x**4.
-5*(x - 1)*(x + 1)*(x + 2)**3
Suppose 0 + 16 - 47*z - 1 - 38*z - 30*z**2 = 0. Calculate z.
-3, 1/6
Solve -140/3*n - 4900/3 - 1/3*n**2 = 0.
-70
Let v(z) be the second derivative of 0 + z**5 - 4*z**2 + 2/3*z**4 - 4*z - 10/3*z**3. Factor v(h).
4*(h - 1)*(h + 1)*(5*h + 2)
Let v(k) be the first derivative of k**5/5 + k**4/2 - 4*k**3 - 9*k**2 + 27*k + 33. Let v(q) = 0. Calculate q.
-3, 1, 3
Let x(t) = -11*t**3 + 897*t**2 + 93643*t + 3183617. Let r(b) = 3*b**3 - 300*b**2 - 31214*b - 1061206. Let z(n) = -21*r(n) - 6*x(n). Factor z(j).
3*(j + 102)**3
Let -6/5 - 6/5*g**4 + 12/5*g**2 - 21/5*g**5 + 42/5*g**3 - 21/5*g = 0. Calculate g.
-1, -2/7, 1
Suppose 2*h = -6, y - 22 = 3*h + h. Suppose -y*q = -12*q. Solve n**4 + 3*n**4 + q*n**5 + 4*n**3 - 4*n**2 - 4*n**5 + 0*n**2 = 0 for n.
-1, 0, 1
Let b = 188 + -153. Let t(u) = u**3 - 37*u**2 + 69*u + 35. Let z be t(b). Let z*g**3 + 4/7*g + 2/7*g**4 + 0 - 6/7*g**2 = 0. Calculate g.
-2, 0, 1
Suppose -4*p + 1 = 3*s + 5, 3*p = -4*s - 10. Solve 15*j + 12*j**2 + 27*j**3 - 32*j**3 - 5*j**2 + 3*j**p = 0 for j.
-1, 0, 3
Find d, given that -54 - 183/5*d**2 + 369/5*d - 3/5*d**4 + 39/5*d**3 = 0.
2, 3, 5
Let p(c) be the third derivative of -c**6/60 + 141*c**5/10 - 3710*c**4 - 44944*c**3/3 - 232*c**2. Determine b, given that p(b) = 0.
-1, 212
Let n(w) = 31*w**4 + 127*w**3 + 159*w**2 + 79*w + 16. Let h(y) = 8*y**4 + 32*y**3 + 40*y**2 + 20*y + 4. Let s(c) = 9*h(c) - 2*n(c). Find j such that s(j) = 0.
-1, -2/5
Let t(p) = 0 - 4 - 1 + 2*p - 3. Let n be t(8). Determine i, given that 14*i**2 + 4 - 23*i**2 + 13*i**2 + n*i = 0.
-1
Suppose 260 - 112 = 37*t. Let u(k) be the second derivative of 1/4*k**5 + 0 + 15/2*k**2 + 5/12*k**t + 9*k - 25/6*k**3. Factor u(p).
5*(p - 1)**2*(p + 3)
Let k be (-8 - -8)*(-31)/(-62). Factor -2/15*x**3 + 0*x**2 + 0*x + 2/15*x**4 + k.
2*x**3*(x - 1)/15
Let s(w) be the first derivative of 8*w**2 + 32*w - 8/3*w**3 - w**4 - 24. What is i in s(i) = 0?
-2, 2
Let c = 47934/5 - 9582. Factor 48/5*k - 16/5 - 4/5*k**4 + c*k**3 - 52/5*k**2.
-4*(k - 2)**2*(k - 1)**2/5
Let n = -826 - -829. Let a(g) be the second derivative of 1/2*g**2 - 5/6*g**n + 1/2*g**4 + 5*g + 0. Factor a(o).
(2*o - 1)*(3*o - 1)
Let m(d) = d**3 - 7*d**2 + 25*d + 4. Let u be m(12). Determine g so that u*g**4 + 832/3*g**2 + 1024/3*g**5 + 44*g + 2432/3*g**3 + 8/3 = 0.
-2, -1/4
Let b(w) be the second derivative of -w**5/15 - w**4/2 + 8*w**3/3 + 21*w**2/2 - 15*w. Let h(g) be the first derivative of b(g). Factor h(c).
-4*(c - 1)*(c + 4)
Let p(n) be the first derivative of -3*n**2 - 14/3*n**3 - 6 + 0*n - 2/5*n**5 - 5/2*n**4. Factor p(c).
-2*c*(c + 1)**2*(c + 3)
Let u be 219/1*8/12. Let t = 149 - u. Factor 0*q - 2/3*q**2 + 2/3*q**t + 0.
2*q**2*(q - 1)/3
Let v be ((-202)/3)/((-86)/(-12) + -7). Let k = v + 1625/4. Let 3/4*f**2 + 3/4*f**4 - 9/4*f + k*f**3 - 3/2 = 0. What is f?
-2, -1, 1
Let q(j) = 2*j**3 + 3*j**2 - j - 1. Let z be q(-3). Let l = 49 + z. Find v, given that 17 - 3*v - v**2 + 4*v - l + 9 = 0.
-1, 2
Factor 3067*f + 5*f**2 - 2992*f - 17 + 87.
5*(f + 1)*(f + 14)
Let k(o) be the third derivative of -4/105*o**6 + 0 + o**2 + 1/6*o**4 - 1/35*o**5 + 0*o + 8/735*o**7 - 4/21*o**3. Find g such that k(g) = 0.
-1, 1/2, 2
Let m(h) = h**2 + 27*h - 28. Let a be m(-28). Let i(y) be the second derivative of -2/3*y**3 + a + 0*y**2 - 10*y - 1/3*y**4. Factor i(d).
-4*d*(d + 1)
Let t(d) be the second derivative of -d**6/72 + d**5/6 + 25*d**4/24 + 31*d**3/6 - 5*d. Let f(p) be the second derivative of t(p). Factor f(c).
-5*(c - 5)*(c + 1)
Let w(n) = n**2 - 48*n - 47. Let g be w(-1). Suppose -7/3*f**g + 1/3*f**3 + 5*f - 3 = 0. What is f?
1, 3
Solve 88/7 + 2/7*f**3 + 2*f**2 - 80/7*f = 0 for f.
-11, 2
Let f = 377/1059 - 8/353. Factor 0 + 1/2*v**2 - 1/6*v**3 - f*v.
-v*(v - 2)*(v - 1)/6
Solve 5*x**3 + 105*x + 2*x**3 - 150 - 4*x**3 + 72*x**2 - 30*x**2 = 0.
-10, -5, 1
Determine y so that -9*y - 3*y**2 + 0*y + 7*y**2 + 3*y**3 + 2*y**2 = 0.
-3, 0, 1
Find y such that -4/7*y**3 + 16/21*y + 8/3*y**2 + 2/3*y**5 - 38/21*y**4 + 0 = 0.
-1, -2/7, 0, 2
Let p(d) be the second derivative of -d**7/16380 - d**6/936 - 4*d**4/3 + 15*d. Let w(x) be the third derivative of p(x). Solve w(q) = 0 for q.
-5, 0
Let w(g) be the first derivative of 3/5*g**2 + 4/5*g + 0*g**3 - 17 - 1/10*g**4. Find x, given that w(x) = 0.
-1, 2
Let v be 412/42*(-156)/8. Let p = -191 - v. Factor -p*w + 2/7*w**3 + 2/7*w**2 - 2/7*w**4 + 0.
-2*w*(w - 1)**2*(w + 1)/7
Let z(u) be the first derivative of -u**5/25 - u**4/10 + 63. Factor z(q).
-q**3*(q + 2)/5
Suppose 4*m + c = 34 + 89, -2*m + 3*c + 51 = 0. Suppose -q = 4*q - m. Find k such that k - 1 - k**3 - 5*k**2 + 0*k**2 + q*k**2 = 0.
-1, 1
Let v(o) = 11*o**5 - 4*o**4 + 4*o**2 - 2*o - 18. Let c(b) = -5*b**5 + 2*b**4 - 2*b**2 + b + 8. Let x(a) = 9*c(a) + 4*v(a). Factor x(w).
-w*(w - 1)**3*(w + 1)
Suppose 10*i + 0 = 50. What is r in 10*r**2 + 60*r - 5*r**i - 55*r**3 + 29 + 7 - 76 + 30*r**4 = 0?
-1, 1, 2
Let s(i) be the first derivative of i**7/70 - i**6/40 - i**5/20 + i**4/8 - 3*i**2 - 1. Let h(z) be the second derivative of s(z). Factor h(m).
3*m*(m - 1)**2*(m + 1)
Let r(c) = -40*c**3 + 98*c**2 + 646*c + 564. Let k(y) = 3*y**3 - 2*y**2 + 1. Let w(o) = -28*k(o) - 2*r(o). Suppose w(x) = 0. What is x?
-17, -1
Let p(h) be the first derivative of -9/28*h**4 + 0*h**2 - 1/7*h**3 + 3/14*h**6 + 3/35*h**5 + 19 + 0*h. Suppose p(s) = 0. What is s?
-1, -1/3, 0, 1
Let g(l) be the second derivative of l**7/210 - l**6/50 + 3*l**5/100 - l**4/60 - 254*l. Factor g(m).
m**2*(m - 1)**3/5
Solve 2*z**3 - 85*z**2 + 45*z**2 - 38*z - 7*z + 0*z + 3*z**3 = 0.
-1, 0, 9
Let x(m) = -m**2 - 14*m - 35. Let h be x(-10). Let l(j) be the second derivative of 1/2*j**3 - 3*j + 0 - 3/4*j**4 + 3/10*j**h + 0*j**2. Factor l(d).
3*d*(d - 1)*(2*d - 1)
Factor o**2 - 387*o - 13366 - 2*o**2 - 6798 + 103*o.
-(o + 142)**2
Let d be -1*(2 + 5)*(-64)/112. Determine a so that 0 + 2/5*a**d - 2/5*a**2 + 6/5*a**3 - 2/5*a**5 - 4/5*a = 0.
-1, 0, 1, 2
Let o(t) be the first derivative of 0*t**4 - 2/3*t**2 - 30 + 0*t + 8/9*t**3 - 8/15*t**5 + 2/9*t**6. Factor o(x).
4*x*(x - 1)**3*(