rd derivative of -k**8/4032 + 11*k**7/504 + 23*k**6/144 + 37*k**5/20 - k**2 - 7*k. Let y(b) be the third derivative of m(b). Factor y(z).
-5*(z - 23)*(z + 1)
Let i(m) be the first derivative of 3*m**4/4 - 889*m**3 - 5343*m**2/2 - 2673*m - 8374. Solve i(s) = 0.
-1, 891
Suppose 2*g = 13*g - 209. What is w in 6 - 5*w**3 + 9*w**3 + 3*w**4 - 12*w**2 - 21*w + 3*w**4 + g*w - 2*w**5 = 0?
-1, 1, 3
Suppose v - 6*v + 1606 = 2*z, -4*z = 4*v - 3224. Let u = -808 + z. Factor -9/2*n + 3/2*n**2 + u.
3*n*(n - 3)/2
Factor -56 - 559/10*l + 1/10*l**2.
(l - 560)*(l + 1)/10
Let o(g) be the second derivative of -g**4/60 - 19*g**3/30 + 91*g**2/5 - 521*g + 1. Find w, given that o(w) = 0.
-26, 7
Let f(c) be the second derivative of -64/15*c**2 + 0 + 37*c + 16/9*c**3 + 1/150*c**5 - 17/90*c**4. Factor f(t).
2*(t - 8)**2*(t - 1)/15
Let g(t) be the third derivative of t**5/105 - 2234*t**4/21 + 9981512*t**3/21 + 2032*t**2 + 3. Suppose g(v) = 0. What is v?
2234
Let x(l) be the third derivative of l**7/1050 - 19*l**6/600 + l**5/5 + 2990*l**2. Find y, given that x(y) = 0.
0, 4, 15
Let h be ((-27640)/(-780) - 36)*-3. Factor -14/13*d**2 - 2/13*d**3 - h*d - 10/13.
-2*(d + 1)**2*(d + 5)/13
Suppose 9*r - 33 = -15. Find d such that -45 - 88*d**r + 8*d + 177*d**2 - 84*d**2 + 32*d = 0.
-9, 1
Factor -25*k + 12*k - 65*k**2 - 220 + 32*k**2 + 31*k**2 - 29*k.
-2*(k + 10)*(k + 11)
Let a be 8/32 - (6103/(-4) + -3). Suppose a*w = 1535*w. Find s such that w*s - 3*s**3 + 0 - 9/4*s**2 - 3/4*s**4 = 0.
-3, -1, 0
Let q(l) be the second derivative of l**6/330 + 117*l**5/220 + 115*l**4/132 - 39*l**3/22 - 58*l**2/11 + 146*l. What is j in q(j) = 0?
-116, -1, 1
Let z(n) be the third derivative of n**8/1848 - 8*n**7/1155 + 5*n**6/132 - 19*n**5/165 + 7*n**4/33 - 8*n**3/33 + 51*n**2 + 1. Solve z(b) = 0 for b.
1, 2
Suppose -128 = -147*k + 146*k. Let p be (-84)/(-30) - (k/(-40) - -3). Suppose 0 + 2/3*o**2 + 4*o - 2/3*o**p = 0. Calculate o.
-2, 0, 3
Let p be (15/7 + -1)/(2540/(-140) - -19). Let l(x) be the first derivative of x**2 + p*x + 3 + 2/9*x**3. Suppose l(v) = 0. What is v?
-2, -1
Let c = 209102 + -209099. Factor 14/5*w**c + 16*w**2 - 4 + 46/5*w.
2*(w + 1)*(w + 5)*(7*w - 2)/5
Let f = 3610 + -3605. Let l(m) be the second derivative of -4/5*m**f + 2*m - 2*m**4 - 8/3*m**3 - 2*m**2 - 2/15*m**6 + 0. Factor l(t).
-4*(t + 1)**4
Let t(a) be the first derivative of 31*a**3/15 + 653*a**2/10 + 42*a/5 + 761. Determine o, given that t(o) = 0.
-21, -2/31
Let m(i) be the first derivative of -i**4/48 + i**3/12 - i**2/8 + 82*i - 53. Let f(j) be the first derivative of m(j). Let f(o) = 0. Calculate o.
1
Let r(y) be the third derivative of 17*y**5/30 + 14*y**4 - 20*y**3/3 - 2035*y**2. Factor r(n).
2*(n + 10)*(17*n - 2)
Let k(c) = 5*c**4 - 21*c**3 + 32*c**2 + 12*c - 40. Let z(o) = -10*o**4 + 40*o**3 - 65*o**2 - 20*o + 80. Let w(m) = -5*k(m) - 2*z(m). Let w(f) = 0. Calculate f.
-1, 2
Let y(b) be the third derivative of b**7/140 - 7*b**6/80 - 23*b**5/40 + 39*b**4/16 + 27*b**3/2 - 1942*b**2. Determine n, given that y(n) = 0.
-3, -1, 2, 9
Factor -32/5*g**3 - 1/5*g**4 - 468/5*g + 756/5 - 51*g**2.
-(g - 1)*(g + 6)**2*(g + 21)/5
Let q = -1894 + 4265. Determine t, given that q - 31*t**2 - 450*t - 1640 - 10856 + 26*t**2 = 0.
-45
Suppose -2*j + 14 = -5*v, -j + 0*v + 2*v = -6. Suppose j*u - 1 = -r + 5, -2*r - u + 15 = 0. Find o, given that -9*o - r - 2*o - 4*o + 3*o - 4*o**2 = 0.
-2, -1
Factor -39/5*k + 9*k**2 + 12/5 - 21/5*k**3 + 3/5*k**4.
3*(k - 4)*(k - 1)**3/5
Let h be (-91)/(-45) - (-55 - (-10792)/190). Let 2/9*t**3 - h*t**5 + 0*t - 4/3*t**4 + 0 + 4/3*t**2 = 0. Calculate t.
-6, -1, 0, 1
Let h be (5 - 7)*(255/6)/(-5). Let l(d) be the second derivative of 0*d**2 - h*d - 1/30*d**4 + 1/15*d**3 + 0. Factor l(t).
-2*t*(t - 1)/5
Let c(x) = -8*x**2 - 163*x - 1280. Let p(y) = -9*y**2 - 164*y - 1280. Let t(u) = -4*c(u) + 3*p(u). Factor t(l).
5*(l + 16)**2
Let h(v) = -21*v - 814. Let p be h(-39). Let w(m) be the first derivative of 2/5*m**p + m**4 - 7 - 1/3*m**6 + 0*m + 0*m**2 + 0*m**3. Factor w(b).
-2*b**3*(b - 2)*(b + 1)
Suppose 5*w - 15*w - 22 = -21*w. Let n(m) be the second derivative of -5/2*m**w - 5/2*m**3 - 1/4*m**5 + 0 - 5/4*m**4 - 3*m. Factor n(l).
-5*(l + 1)**3
Suppose 28/3*b**2 + 1/3*b**4 - 12*b - 3*b**3 + 16/3 = 0. Calculate b.
1, 2, 4
Let a = 91 + -88. Suppose -g - 9 = 5*v, -1 = -5*g + a*v + 38. Suppose -68*c**3 - 80*c**2 - 19*c + 9*c - 16*c**4 - g*c = 0. What is c?
-2, -1/4, 0
Let l be (6 + 744/(-152) - 2/19)*2. Factor -1/2*q**4 + 1/4*q**5 + 0*q + 0*q**l - 3/4*q**3 + 0.
q**3*(q - 3)*(q + 1)/4
Let z(t) be the second derivative of t**6/30 + 66*t**5 + 48400*t**4 + 42592000*t**3/3 - 250*t. Determine s, given that z(s) = 0.
-440, 0
Suppose 4*f = -3*p + 142, -3*f + 81 = 4*p - 22. Let -15*y**2 - 24*y + 72 + 65*y - f*y - 75*y - 103*y = 0. What is y?
-12, 2/5
Let p(r) be the third derivative of -1/110*r**5 - 2*r**2 + 1/22*r**4 - 37 + 0*r + 8/33*r**3 - 1/660*r**6. Factor p(v).
-2*(v - 2)*(v + 1)*(v + 4)/11
Let w be 160725/56790 - (-3)/2*-1. Let o = w - -2/631. Solve 4 + o*j**3 + 20/3*j**2 + 28/3*j = 0 for j.
-3, -1
Let i(x) be the first derivative of -15*x**6/32 - x**5/8 - x**4/96 + x**2/2 - 9*x + 82. Let b(s) be the second derivative of i(s). Factor b(a).
-a*(15*a + 1)**2/4
Let d = 4823 - 4823. Let y(q) be the second derivative of -37*q - 1/6*q**4 - 2/3*q**3 + 1/5*q**5 + q**2 + d. Solve y(l) = 0 for l.
-1, 1/2, 1
Let k(f) be the first derivative of f**6/50 - 3*f**5/50 + 39*f + 57. Let j(c) be the first derivative of k(c). Determine u so that j(u) = 0.
0, 2
Let j = 951 + -947. Suppose -3*x - 11 = -k, 5*x + 6 = -9. Find r such that 20 - 11 - k*r**2 - 9 - j*r = 0.
-2, 0
Let g(a) be the second derivative of -9*a**5/70 + 79*a**4/42 + 216*a**3/7 + 20*a**2 + 28*a + 5. Determine f, given that g(f) = 0.
-5, -2/9, 14
Let z(o) be the second derivative of -1737/2*o**3 - 729*o**2 - 80*o - 7/20*o**5 + 2 - 95/3*o**4. Factor z(s).
-(s + 27)**2*(7*s + 2)
Let b(c) be the third derivative of 9*c**8/112 + 47*c**7/70 + c**6/4 - 9*c**5 - 23*c**4 - 16*c**3 + 42*c**2 + 15. What is v in b(v) = 0?
-4, -2, -1, -2/9, 2
Let g(c) be the first derivative of 3*c**2 - 2/3*c**3 - 4*c + 84. Determine m, given that g(m) = 0.
1, 2
Let w(b) = -9*b**4 - 790*b**3 - 780*b**2 + 798*b + 777. Let k(f) = 17*f**4 + 1580*f**3 + 1560*f**2 - 1594*f - 1556. Let l(c) = 4*k(c) + 7*w(c). Factor l(g).
5*(g - 1)*(g + 1)**2*(g + 157)
Suppose 0 = -3*i - 3, -5*o + 157 = -i + 4*i. Suppose -o = -146*h + 130*h. Solve 0 - 8/3*k**h + 8/3*k**4 - 8/9*k - 8/9*k**5 - 2/9*k**3 = 0 for k.
-1/2, 0, 2
Factor -99/8*r**3 + 243/2 + 3/8*r**4 - 243/8*r**2 + 3/8*r**5 + 81/2*r.
3*(r - 6)*(r - 2)*(r + 3)**3/8
Let q be (-335)/(-67) + 2/(-1). Suppose -11 = -2*z + s, q*s - 7 = -3*z - 4. Solve -1/4*b**5 - b - 1 + 5/4*b**2 - 1/4*b**z + 5/4*b**3 = 0 for b.
-2, -1, 1, 2
Factor -10/3*j**2 + 164/9*j - 208/9.
-2*(j - 2)*(15*j - 52)/9
Let a(l) be the second derivative of 5/12*l**3 - 9*l - 2 + 1/12*l**4 + 0*l**2. Factor a(g).
g*(2*g + 5)/2
Let i(p) be the first derivative of -5/2*p**2 + 5/4*p**4 - 10*p + 5*p**3 - p**5 - 5. Factor i(j).
-5*(j - 2)*(j - 1)*(j + 1)**2
Suppose 0 - 2/5*c**3 - 184/5*c**2 + 0*c = 0. Calculate c.
-92, 0
Let z(x) be the first derivative of -x**4/90 - 2*x**3/5 + 8*x**2/3 + 82*x - 236. Let m(n) be the first derivative of z(n). Factor m(o).
-2*(o - 2)*(o + 20)/15
Let z(j) be the second derivative of -7*j**7/3 - 91*j**6/5 + 516*j**5/5 + 326*j**4/3 + 32*j**3 + j - 1313. Find x such that z(x) = 0.
-8, -2/7, 0, 3
Factor -27*h**2 - 17*h**2 - 10 - 26 - 243*h - 157*h.
-4*(h + 9)*(11*h + 1)
Let -390*k - 2*k**2 - 8441 + 8834 - k**2 = 0. Calculate k.
-131, 1
Let u(n) be the second derivative of 5*n**7/126 - 2*n**6/9 - 2*n**5/3 + 25*n**4/18 + 115*n**3/18 + 25*n**2/3 + 2*n + 153. Find w, given that u(w) = 0.
-1, 2, 5
Let a(z) be the second derivative of z**4/16 + 114*z**3 + 77976*z**2 - 17*z + 133. Factor a(c).
3*(c + 456)**2/4
Let z(o) = -o + 60. Let j be z(14). Solve 143 + j*w - 137 - w**2 - 535 = 0 for w.
23
What is y in 18/5*y + 0 - 3*y**4 - 3*y**3 - 3/5*y**5 + 3*y**2 = 0?
-3, -2, -1, 0, 1
Let h(x) be the second derivative of -x**5/20 + x**4/2 + 4*x**3/3 - 2*x**2 + 5*x. Let u be h(7). Let -u*a**4 - 70*a**3 + 70*a**3 = 0. Calculate a.
0
Let d = 168419/2 - 84208. Suppose 9/4*n + 0 + d*n**2 - 3/4*n**3 = 0. W