olve y*f**4 + 25*f**3 + 8 - 29*f**3 + 3*f + 4*f**4 - 12*f**2 + f = 0 for f.
-1, 1, 2
Find x such that -1469 - 1168*x**3 - 6723 + 1868*x**2 - 4*x**5 - 11009*x - 112*x**4 - 255*x - 7372*x**2 = 0.
-8, -2
Let t be 1*(48/42 - 1)*(-42)/(-12). Factor -2 - 6*c - 11/2*c**2 + 3/2*c**4 - 1/2*c**3 + t*c**5.
(c - 2)*(c + 1)**3*(c + 2)/2
Solve -2/9*z**2 - 8/3*z - 40/9 = 0.
-10, -2
Let i(c) be the first derivative of -34*c**3/27 - 13*c**2/18 + 2*c/9 + 151. Factor i(o).
-(2*o + 1)*(17*o - 2)/9
Let h be 48/12*(-2 + 9/4). Suppose -h + 15 = 7*o. Factor -34/9*u + 4/3 + 10/9*u**o.
2*(u - 3)*(5*u - 2)/9
Let d(v) = -3*v - 20. Let u be d(-6). Let m be (16/5)/1 + u. Factor m*t**3 - 4/5*t**2 + 0 - 2/5*t**5 + 0*t**4 + 0*t.
-2*t**2*(t - 1)**2*(t + 2)/5
Let t(n) be the first derivative of 4*n**5/5 + 8*n**4 + 80*n**3/3 + 32*n**2 + 236. Determine s, given that t(s) = 0.
-4, -2, 0
Let x(q) be the first derivative of -231361*q**3/15 - 962*q**2/5 - 4*q/5 + 12. Factor x(m).
-(481*m + 2)**2/5
Factor -3*y**2 + 24*y**2 + 20*y**2 - 2*y**2 + y**2 + 96*y + 4*y**4 - 52*y**3.
4*y*(y - 12)*(y - 2)*(y + 1)
Let f(b) = -b**4 + b**3 + 1. Let i(s) = -4 + 2*s**4 - 6*s**2 - 10*s**3 + 7*s**4 - 2*s - 7*s**4. Let a = 0 + 1. Let g(d) = a*i(d) + 4*f(d). Factor g(o).
-2*o*(o + 1)**3
Let m(y) be the first derivative of -8*y**5/5 + 11*y**4 + 28*y**3/3 - 12*y**2 + 91. Solve m(w) = 0 for w.
-1, 0, 1/2, 6
Let -15/7*y**3 + 9*y + 3/7*y**4 + 0 - 51/7*y**2 = 0. Calculate y.
-3, 0, 1, 7
Let u(d) be the first derivative of -d**6/900 + d**5/300 + d**4/30 - 2*d**3 - 4. Let w(g) be the third derivative of u(g). Determine p, given that w(p) = 0.
-1, 2
Let c be (-3*(-16)/(-24))/(-13). Factor c*y**2 + 0 + 4/13*y.
2*y*(y + 2)/13
Let a(d) be the first derivative of -2/21*d**4 - 2/7*d - 11 + 2/3*d**2 - 2/9*d**3. Let a(r) = 0. What is r?
-3, 1/4, 1
Let b(i) be the second derivative of -i**5/35 - 44*i**4/21 - 874*i**3/21 + 2116*i**2/7 - 77*i. Factor b(q).
-4*(q - 2)*(q + 23)**2/7
Let t = 28 + -16. Factor m**3 - 5*m**3 + 4*m**2 + 7*m**3 - t*m + 5*m**2.
3*m*(m - 1)*(m + 4)
Let 3/5*h**4 + 858/5*h**2 - 288*h - 96/5*h**3 + 135 = 0. Calculate h.
1, 15
Let w(h) be the third derivative of -1/72*h**5 - 2*h - 5/36*h**4 + 0 + 25/36*h**3 - 2*h**2. Solve w(l) = 0.
-5, 1
Let v(o) be the third derivative of -o**8/10080 + o**6/360 + 11*o**5/60 + 5*o**2. Let d(a) be the third derivative of v(a). Factor d(u).
-2*(u - 1)*(u + 1)
Let k(t) be the third derivative of -t**5/300 + t**4/20 - 3*t**3/10 - 4*t**2 + 4*t. Factor k(x).
-(x - 3)**2/5
Let y be ((-3)/4)/(4/(-128)). Let r be (-16)/y*(-15)/2. Let 2 + h**4 - h - h**3 - 3*h**3 - 3*h**2 + r*h**3 = 0. Calculate h.
-2, -1, 1
Find v, given that -2/3*v**3 - 16/3*v - 8/5 - 18/5*v**2 = 0.
-3, -2, -2/5
Factor -325 + 304 + b - 5*b + b**2.
(b - 7)*(b + 3)
Let p(y) be the second derivative of -6/5*y**5 + 12*y + 0 + 0*y**3 + 0*y**2 + 2/15*y**6 + 3*y**4. Determine w so that p(w) = 0.
0, 3
Let w(g) = -g**3 - 8*g**2 + 14*g + 45. Let t be w(-9). Suppose 14 = 3*u - 4*h + 2*h, t = -u - h - 2. Factor 1/3*r + 1/6*r**u + 0.
r*(r + 2)/6
Let u = 42 - 38. Suppose 5*b**u + 2*b**5 + 63*b - 35*b + 3*b**4 - 8*b**2 + 4*b**3 - 34*b = 0. Calculate b.
-3, -1, 0, 1
Let x = 1630 - 1630. Let f(m) be the second derivative of 0 + 10*m + 1/252*m**7 + 1/180*m**6 + 0*m**2 + x*m**5 + 0*m**4 + 0*m**3. Factor f(i).
i**4*(i + 1)/6
Let s(d) = d**3 + 53*d**2 - 115*d - 273. Let p be s(-55). Solve 3/8*x**p - 3/8*x - 3/4 = 0 for x.
-1, 2
Let z(y) be the second derivative of y**6/6 + y**5/2 - 35*y**4/12 + 10*y**3/3 - 143*y. Suppose z(a) = 0. What is a?
-4, 0, 1
What is h in -57*h - 38*h - 5*h + 4077*h**2 - 4072*h**2 = 0?
0, 20
Let j(v) = v**3 - v**2. Let u(c) = -18*c**2 + c**3 - 39*c**2 + 6*c**3 + 15*c + 40*c**2 - 5. Let s(y) = -2*j(y) + u(y). Solve s(d) = 0.
1
Let q(o) = -2*o**2 + 74*o - 48. Let f(j) = 5*j**2 - 149*j + 92. Let d(k) = 6*f(k) + 13*q(k). Solve d(v) = 0 for v.
-18, 1
Let u(h) be the second derivative of -h**8/13440 + h**7/2520 - h**6/1440 + 5*h**4/4 + 3*h. Let m(x) be the third derivative of u(x). Find a such that m(a) = 0.
0, 1
Suppose 2*c - 5*q - 348 = 4*c, 5*q = 4*c + 756. Let z = c + 186. Suppose -1/7*w**z + 0 - 3/7*w = 0. What is w?
-3, 0
Let u be 749*(-13)/(-143) - 7. Solve -1872/11*x**4 - 24/11 + u*x**5 + 78*x**3 + 438/11*x**2 - 72/11*x = 0.
-1/4, 2/7, 1, 2
Let i(m) be the third derivative of m**6/40 - 3*m**5/10 - 9*m**4/2 - 20*m**3 + 3*m**2. Solve i(b) = 0 for b.
-2, 10
Let i(c) be the first derivative of -c**4/32 + 19*c**2/16 + 15*c/4 - 69. Factor i(g).
-(g - 5)*(g + 2)*(g + 3)/8
Let f(h) be the first derivative of h**6/2 - 6*h**4 + 6*h**3 + 21*h**2/2 - 18*h + 18. Determine v so that f(v) = 0.
-3, -1, 1, 2
Suppose v = -0 + 3. Determine c so that 3 + 6*c**v + 2*c - 2*c - 3*c**2 - 6*c = 0.
-1, 1/2, 1
Let x(q) be the second derivative of -2/3*q**7 - 5/3*q**4 + 9/5*q**5 + 0 + 0*q**2 + 2*q - 4/3*q**3 + 2/3*q**6. Let x(a) = 0. Calculate a.
-1, -2/7, 0, 1
Let r = -392 + 396. Solve 3/5 - 2/5*n**2 - 1/5*n**r + 6/5*n**3 - n - 1/5*n**5 = 0 for n.
-3, -1, 1
Let k(b) be the second derivative of -1/84*b**7 + 0*b**2 + 1/15*b**6 + 0*b**3 + 1/12*b**4 - 38*b + 0 - 1/8*b**5. What is h in k(h) = 0?
0, 1, 2
Let q(i) = 156*i - 16. Let z be q(-3). Let w be 4/26 - (-5 - z/104). Determine y, given that w*y**3 + 0 + 0*y - y**2 = 0.
0, 2
Find z, given that -560*z**2 - 290*z - 40 - 245/2*z**3 = 0.
-4, -2/7
Suppose 128*u - 185*u - 39 + 2*u**2 + 3*u**2 + 3 = 0. Calculate u.
-3/5, 12
Let z(b) = b + 1. Let d(w) = 3*w**2 - 32*w + 73. Suppose -5*g - 31 + 26 = 0. Let f(s) = g*d(s) - 2*z(s). Factor f(t).
-3*(t - 5)**2
Let o(i) be the third derivative of -i**6/72 + 7*i**5/18 - 325*i**4/72 + 250*i**3/9 + 246*i**2. Suppose o(s) = 0. What is s?
4, 5
Let r(y) = y - 1. Let j be r(6). Factor -q**5 - 2*q**2 - 9*q**4 - 2*q**2 - 11*q**j - 19*q**4 - 20*q**3.
-4*q**2*(q + 1)**2*(3*q + 1)
What is d in 23*d**5 + 21*d**4 + 19*d**3 - 17*d**2 - 16*d - 14*d**5 - 1 - 3 - 12*d**3 = 0?
-1, -2/3, 1
Let n(v) be the first derivative of 0*v**2 - 7*v + 1/4*v**4 + 7 + 3/2*v**3. Let l(y) be the first derivative of n(y). Determine w, given that l(w) = 0.
-3, 0
Let o(f) = f**2 - 19*f + 90. Let l = -208 + 217. Let x be o(l). Find c such that -1/4*c**3 + 0*c + 1/4*c**5 + 0*c**2 + x + 0*c**4 = 0.
-1, 0, 1
Let t(j) be the third derivative of -1/120*j**5 + 0*j + 0 - 3*j**2 + 0*j**3 + 0*j**4. Factor t(v).
-v**2/2
Let j = -2631/4 - -658. Let m(o) be the first derivative of -3/7*o**3 - 4 + 1/7*o**2 + 0*o + j*o**4. Solve m(b) = 0.
0, 2/7, 1
Let b(r) be the second derivative of r**7/1680 + r**6/120 - r**5/16 + 7*r**4/2 + 23*r. Let w(m) be the third derivative of b(m). Factor w(i).
3*(i - 1)*(i + 5)/2
Solve 85*p**3 + 12*p**2 - 73*p**3 + 6*p**4 + 4*p**3 - 2 = 0.
-1, 1/3
Let h = -2/4547 - -18206/40923. Factor -2/3*l - 10/9*l**2 + h.
-2*(l + 1)*(5*l - 2)/9
Let o be 528/4*(3 + (-8)/3). Let q = o - 41. Find d such that 0 + 2/15*d**q - 2/15*d**2 + 0*d = 0.
0, 1
Let g be 3 + 13/(-3) + 119/84. Let m(x) be the third derivative of -g*x**3 + 1/32*x**4 - 1/240*x**5 + 6*x**2 + 0 + 0*x. What is h in m(h) = 0?
1, 2
Let z(a) = -a**2 + 5*a + 54. Let b be z(15). Let m = 385/4 + b. Solve -3/8*p**2 + 0 - m*p**3 + 1/4*p = 0 for p.
-2, 0, 1/2
Let h(k) be the second derivative of -1/36*k**4 + 1/10*k**5 - 7*k + 0*k**2 - 1/9*k**3 + 0. Let h(a) = 0. What is a?
-1/2, 0, 2/3
Let h(o) = 11*o**2 + 6*o + 2. Let f be h(-3). Let w = 86 - f. Factor -8/5*y**w + 2/5 - 8/5*y + 12/5*y**2 + 2/5*y**4.
2*(y - 1)**4/5
Let s(x) = -7*x**3 + 7*x**2 - 41*x + 17. Let b(a) = a**3 + a**2 + a. Let k(c) = 24*b(c) + 3*s(c). Factor k(z).
3*(z - 1)**2*(z + 17)
Let g(h) be the first derivative of h**4/16 + 5*h**3/6 - h**2/8 - 5*h/2 + 86. Suppose g(m) = 0. Calculate m.
-10, -1, 1
Let l(t) be the second derivative of -7/36*t**6 - 20/9*t**3 - 5/252*t**7 - 125/72*t**4 + 5*t - 5/3*t**2 - 2 - 19/24*t**5. Find a, given that l(a) = 0.
-2, -1
Let t(r) = -13*r + 67. Let h be t(5). Factor -1150*k**3 - 6*k**2 + 18 + 12*k - 10*k**2 + 1138*k**3 - h*k**4.
-2*(k - 1)*(k + 1)*(k + 3)**2
Factor -24/5*f**2 + 4/5 + 36/5*f**5 - 12/5*f + 84/5*f**4 + 8*f**3.
4*(f + 1)**3*(3*f - 1)**2/5
Let b = -2/987 + 878/329. Let k(n) be the first derivative of -3/5*n**5 + 4 + b*n**4 + 1/18*n**6 - 16/3*n - 56/9*n**3 + 8*n**2. Factor k(t).
(t - 2)**4*(t - 1)/3
Let z(u) be the seco