4*x**3 - 3*x - c*x**4 + 2 = 0.
-2, 1, 2
Let i(v) be the second derivative of 33 + 2/45*v**3 - 3*v + 8/75*v**5 + 7/225*v**6 + 11/90*v**4 + 0*v**2. Factor i(o).
2*o*(o + 1)**2*(7*o + 2)/15
Factor -2/15*u**2 - 1496/15*u - 279752/15.
-2*(u + 374)**2/15
Let y = 1313/531 - 100/59. Let a(b) be the first derivative of -1/4*b**4 - 11/12*b**2 + 8 + 1/2*b - 1/30*b**5 + y*b**3 + 1/36*b**6. Find w, given that a(w) = 0.
-3, 1
Let i = 65807/8 - 723477/88. Factor -80/11*c + 16/11*c**3 + i + 2/11*c**4 + 12/11*c**2.
2*(c - 1)**2*(c + 5)**2/11
Let t be -9 - (-9 + (-56)/14). Let j(f) be the third derivative of 0*f - 5/18*f**t + 0 + 25/9*f**3 - 10*f**2 + 1/90*f**5. Factor j(c).
2*(c - 5)**2/3
Let u(p) be the third derivative of p**6/24 + 191*p**5/12 + 470*p**4/3 + 1870*p**3/3 + p**2 - 87*p. Factor u(t).
5*(t + 2)**2*(t + 187)
Solve -18576/5*w + 5426/5*w**2 - 688/5*w**3 + 32/5*w**4 + 23328/5 = 0.
4, 27/4
Let b(n) be the second derivative of -5*n**4/12 - 325*n**3 - 1945*n**2/2 - 617*n. Factor b(h).
-5*(h + 1)*(h + 389)
Let a be (-1196)/39*(-54)/24. Let w be 8*1*a/506. Factor 16/11 - 24/11*l + w*l**2 - 2/11*l**3.
-2*(l - 2)**3/11
Suppose -56/5*z**2 + 6*z**3 + 27/5*z**4 + 0 - 1/5*z**5 + 0*z = 0. Calculate z.
-2, 0, 1, 28
Let d = 2118/395 - -3/79. Suppose 594*h + 2*s + 14 = 588*h, 2*s + 30 = 2*h. Factor -3/5*p**h + 18/5*p - d.
-3*(p - 3)**2/5
Let z(a) be the second derivative of -a**6/10 - 3*a**5/20 + 33*a**4/4 - 59*a**3/2 + 42*a**2 - 1343*a. Factor z(b).
-3*(b - 4)*(b - 1)**2*(b + 7)
Let y(v) be the third derivative of v**9/241920 - v**8/13440 + 29*v**5/60 + v**3/3 - 64*v**2. Let i(q) be the third derivative of y(q). Factor i(g).
g**2*(g - 6)/4
What is r in -7*r - 495*r**2 + 2*r**3 + 546*r**2 - 19*r = 0?
-26, 0, 1/2
Let v(l) = 26*l**3 + 712*l**2 + 1544*l + 792. Let f(q) = -6*q**3 - 158*q**2 - 343*q - 176. Let z(t) = -44*f(t) - 10*v(t). Factor z(o).
4*(o - 44)*(o + 1)**2
Let g(l) be the second derivative of -80*l - 13824/13*l**2 - 12/13*l**4 + 1/130*l**5 + 576/13*l**3 + 0. Find s such that g(s) = 0.
24
Let n(q) be the first derivative of -5 - 1/30*q**5 - 253/18*q**3 - 98/3*q + 35*q**2 + 5/4*q**4. Let n(x) = 0. What is x?
1, 14
Suppose -132*n = -125*n - 665. Suppose n*j = 90*j. Determine p so that 2/9*p**3 + 0 - 2/9*p**4 + 0*p + j*p**2 = 0.
0, 1
Let u = 1687 + -1873. Let h = u - -574/3. Find n such that -h*n**2 + 0 - 14/3*n - 2/3*n**3 = 0.
-7, -1, 0
Let q = 115 - 111. Let b be (11 - q)*10/30. Solve 1 + 1/3*c**5 - 5/3*c**4 + 2*c**3 + 2/3*c**2 - b*c = 0.
-1, 1, 3
Let o(u) be the second derivative of -u**6/165 - 23*u**5/55 + 95*u**4/66 - 16*u**3/11 - 20*u - 19. Factor o(b).
-2*b*(b - 1)**2*(b + 48)/11
Suppose 12*c - 13*c + j = -10, c + 5*j = 4. Let z(y) be the first derivative of 3/4*y**3 + 27/4*y - c + 27/8*y**2 + 1/16*y**4. Factor z(o).
(o + 3)**3/4
Find i, given that -4035/2*i**3 + 1007/2 - 7051/2*i**2 - 2013/2*i - 2*i**4 = 0.
-1007, -1, 1/4
Let h(n) be the second derivative of 0*n**2 - 1 + 1/40*n**5 - 1/12*n**4 - 55*n + 0*n**3. Let h(v) = 0. What is v?
0, 2
Let r = -80 - -83. Factor -17*o**3 - 3*o + 29*o**r - 15*o**3 + 6*o**2.
-3*o*(o - 1)**2
Let k = -185/8 - -1327/56. Let t = 1199/7 - 171. Factor 6/7*w - 2/7 - t*w**5 + 6/7*w**4 - 4/7*w**3 - k*w**2.
-2*(w - 1)**4*(w + 1)/7
Let s(y) = -y - 22. Let p be s(-22). Suppose 0 = -4*t + 3*r - p*r + 119, 4*t - 99 = -r. Suppose -6 - 25*l**2 + 14*l + 2*l**3 - t*l**2 + 41*l**2 = 0. What is l?
1, 3
Let 1448/21*i - 480/7 - 368/21*i**2 + 2/21*i**3 = 0. Calculate i.
2, 180
Let r(p) = 195*p - 584*p + 199*p + 189*p. Let m(v) = -3*v**2 + 30*v - 48. Suppose -t - 1 = -0. Let y(i) = t*m(i) - 6*r(i). Find h, given that y(h) = 0.
4
Let q be (5 + (-90)/20)*(-43 - -47). Factor 1/9*m**q - 8/9*m + 0.
m*(m - 8)/9
Let t(f) be the second derivative of 0*f**2 - 1 - 1/66*f**4 + 38/33*f**3 - 171*f. Factor t(u).
-2*u*(u - 38)/11
Let n be (-5)/(-1) + (-7)/((-49)/28). Suppose -8*p = -p + n*p. Factor -24/5*w**2 - 32/5*w**3 + p*w - 12/5*w**4 + 4/5.
-4*(w + 1)**3*(3*w - 1)/5
Let u(i) be the first derivative of 1/12*i**3 + 3/2*i + 152 + 7/8*i**2. Factor u(z).
(z + 1)*(z + 6)/4
Let g = 115325 + -115322. Determine h, given that -h + g*h**2 - 5/4*h**3 + 0 = 0.
0, 2/5, 2
Let w(x) be the first derivative of 4*x**3/3 - 3908*x**2 - 8147. Factor w(o).
4*o*(o - 1954)
Suppose 0 = 4*f - a - 17, 73482*f - 73478*f - 42 = 6*a. Determine q so that -40/3*q**4 - 17/3*q + 1/3*q**f + 38/3*q**2 + 2/3 + 16/3*q**5 = 0.
-1, 1/4, 1, 2
Let t(x) be the second derivative of x**4/6 - 89*x**3 - 538*x**2 + 9067*x. Let t(j) = 0. Calculate j.
-2, 269
Let s be (-616)/(-102) - (-48)/(-68). Factor 2/3*o**3 + s + 2/3*o**2 - 20/3*o.
2*(o - 2)*(o - 1)*(o + 4)/3
Determine i so that 8/9 + 14/9*i - 2/9*i**3 + 4/9*i**2 = 0.
-1, 4
Let i(p) = -2*p**3 - 4*p**2 - 6*p - 17. Let k be i(-3). Suppose 15 = -f + k. Let -16/7 + 20/7*r**4 + f*r**3 + 4/7*r**5 - 32/7*r - 4/7*r**2 = 0. What is r?
-2, -1, 1
Factor -94/11*i**2 + 92/11*i + 2/11*i**3 + 0.
2*i*(i - 46)*(i - 1)/11
Let r be 67670/200 + 3 - (-1)/4. Let x = 346 - r. Factor 4/5 - 14/5*m**3 - x*m + 32/5*m**2.
-2*(m - 1)**2*(7*m - 2)/5
Let g(h) = h**5 + 10*h**4 - 6*h**2 + 3*h - 2. Let l(z) = 12*z**5 + 112*z**4 + 2*z**3 - 66*z**2 + 32*z - 23. Let n(d) = 23*g(d) - 2*l(d). Factor n(x).
-x*(x - 5)*(x - 1)**2*(x + 1)
Let m(q) = -5*q**2 + 59*q - 66. Let a(v) = 9*v**2 + 33*v**2 - 59*v - 38*v**2 + 65. Let w(b) = -6*a(b) - 5*m(b). Let w(i) = 0. What is i?
-60, 1
Suppose a = 3*r - 3, -4 = 5*a - 3*r + 11. Let x be (2 - a) + (-357)/84. Factor -x*w + 1/4*w**4 + 0 - 5/4*w**3 + 7/4*w**2.
w*(w - 3)*(w - 1)**2/4
Let l be 2/27*132/88*1. Let b(o) be the second derivative of 0 + l*o**3 - 38*o + 1/108*o**4 + 0*o**2. Factor b(i).
i*(i + 6)/9
Let v(w) be the first derivative of 4*w**3/15 - 12*w**2 + 416*w/5 + 3919. Factor v(o).
4*(o - 26)*(o - 4)/5
Let i be (1163/(-3))/(41/205). Let b = i + 1939. Factor b - 1/3*k - 1/3*k**2.
-(k - 1)*(k + 2)/3
Let x(f) be the third derivative of 7*f**6/480 - 173*f**5/240 + 269*f**4/48 + 7*f**3 + 41*f**2 + 20. Factor x(z).
(z - 21)*(z - 4)*(7*z + 2)/4
Suppose -5*t = 480 - 445. Let u be 0/(3*-1 - (-11 - t)). Factor -2/3*i**3 + u - 2/3*i**2 + 4/3*i.
-2*i*(i - 1)*(i + 2)/3
Let 0 + 15/8*v**5 + 237/4*v**4 - 207/8*v**3 + 24*v - 237/4*v**2 = 0. What is v?
-32, -1, 0, 2/5, 1
Let f(s) be the third derivative of -s**8/13440 + s**7/1680 + s**6/60 - 37*s**5/60 + s**3/3 - s**2 - 14. Let b(t) be the third derivative of f(t). Factor b(j).
-3*(j - 4)*(j + 2)/2
Determine s, given that 15*s + 87/4*s**3 + 0 + 3/8*s**5 - 45/8*s**4 - 63/2*s**2 = 0.
0, 1, 2, 10
Determine v, given that -190*v + 8079*v**2 + 732 - 8070*v**2 - 371*v = 0.
4/3, 61
Let f = -396 + 399. What is n in -53*n**5 + 31 - 4*n**4 + 636*n + 520*n**2 + 221 + 49*n**5 + 136*n**f = 0?
-3, -1, 7
Let j(r) be the third derivative of -r**9/393120 - r**8/65520 + 68*r**5/15 + 2*r**2 - 155. Let n(p) be the third derivative of j(p). Factor n(b).
-2*b**2*(b + 2)/13
Solve 0 + 52/5*g - 32*g**3 + 6/5*g**4 + 102/5*g**2 = 0.
-1/3, 0, 1, 26
Let f(u) be the first derivative of 0*u + 5/3*u**3 + 7 + 0*u**2. Factor f(n).
5*n**2
What is j in 17/2*j**2 - 1/4*j**5 + 0*j + 0 - 69/4*j**3 + 9*j**4 = 0?
0, 1, 34
Let d(b) = -b**4 + 6*b**2 + 8*b - 130. Let y(v) = -1. Let t(l) = d(l) + 4*y(l). Let g(w) be the first derivative of t(w). Let g(z) = 0. What is z?
-1, 2
Find n, given that -1/4*n - 1/4*n**4 - 1/2 + 1/4*n**3 + 3/4*n**2 = 0.
-1, 1, 2
Let j(h) be the third derivative of -h**6/120 + h**5/5 - 7*h**4/8 - 5*h**3 + 4*h**2. Let t(u) be the first derivative of j(u). Suppose t(l) = 0. What is l?
1, 7
Suppose 3*x - 18 = -3*n - 0, 0 = n - 4*x + 9. What is m in 7 + 2*m**4 + 65 - 22*m**2 + 278*m**3 + 24*m - 282*m**n = 0?
-2, 3
Let d(q) be the second derivative of 108*q**2 - 4*q**3 + 0 + 1/18*q**4 - 56*q. What is f in d(f) = 0?
18
Let s(a) be the third derivative of 10*a**2 + 0 - a**4 + 25/6*a**3 - 1/60*a**5 + 0*a. Find h, given that s(h) = 0.
-25, 1
Suppose -577 = 3*p - 580, -5*p - 2 = 3*i - 7. Solve 4*q**5 + i - 21/2*q**2 + 9/4*q + 73/4*q**3 - 14*q**4 = 0 for q.
0, 3/4, 1
Let m be 7 - 6003/(-621)*2/(-3). Let y(n) be the second derivative of -19*n + 0 + 1/18*n**4 + 0*n**2 - m*n**3. Factor y(c).
2*c*(c - 5)/3
Suppose 14*d - 11*d - 48 = 0. Suppose -5*k + 13*k = d. Determine f so that -3*f**2 + k*f - 45*f**3 - 3 + 3 + 46*f**3 = 0.
0, 1, 2
Le