+ 363/5*f**t + 4/5.
-(11*f - 2)**3/10
Let f(w) be the second derivative of 1 + 4/3*w**3 + 1/12*w**4 + 158*w + 0*w**2. Find x, given that f(x) = 0.
-8, 0
Let c(o) be the second derivative of -62*o + 0 - 1/30*o**4 + 2/15*o**3 + 8/5*o**2. Solve c(n) = 0.
-2, 4
Let h(o) = 2*o**3 + 21*o**2 - 12*o - 8. Let w be h(-11). Suppose w*v - 10 = 38. Factor v*a - 7*a - 10*a - a**2.
-a*(a + 1)
Suppose 4*z = -2*w + 68, z + 4 = 3. Suppose w - 76 = -5*j. Factor -12*g - 9*g**2 + 0*g**2 + j*g**2 + 3*g**2.
2*g*(g - 6)
Let q be ((-5)/12 - 4/(-6))*(-663 - -663). Let t(h) be the third derivative of 0 + 24*h**2 + 0*h + 1/90*h**5 + q*h**3 + 5/36*h**4. Factor t(v).
2*v*(v + 5)/3
Let y(u) be the first derivative of -u**3/9 - 545*u**2/3 - 297025*u/3 - 995. Factor y(r).
-(r + 545)**2/3
Let f(d) be the first derivative of 2*d**5/35 + 4*d**4 + 424*d**3/21 + 208*d**2/7 + 1435. Factor f(z).
2*z*(z + 2)**2*(z + 52)/7
Let p(x) be the first derivative of -1955*x**3/9 + 5855*x**2/6 + 10*x + 10219. Determine c so that p(c) = 0.
-2/391, 3
Solve -224/3 - 90*x + 2/3*x**5 + 268/3*x**3 + 176/3*x**2 + 16*x**4 = 0.
-16, -7, -1, 1
Factor 86*t**2 + 58/3*t - 64 + 8/3*t**3.
2*(t + 1)*(t + 32)*(4*t - 3)/3
Let m(n) = -10*n**3 - 49*n**2 + 228*n - 155. Let c(w) = 3*w**3 + 16*w**2 - 75*w + 52. Let u(r) = 7*c(r) + 2*m(r). Solve u(x) = 0.
-18, 1, 3
Let c be (6/7)/(408/(-170)*75/(-280)). Determine w so that -c - 2*w + 0*w**2 + 2/3*w**3 = 0.
-1, 2
Let c(k) be the second derivative of -2*k**6/7 + 71*k**5/35 - 116*k**4/21 + 152*k**3/21 - 32*k**2/7 + 812*k + 2. Solve c(s) = 0 for s.
2/5, 1, 4/3, 2
Factor 541*v**3 - 775*v**2 - 29640*v - 295*v**3 - 251*v**3 + 4525 + 25895.
-5*(v - 1)*(v + 78)**2
Suppose 157*o + 2*w + 9 = 162*o, -3*w = 3*o - 18. Suppose 8 = 2*z - 2. Factor -15*v**2 - 7*v - z*v**4 - 20*v**3 + 2*v + 5*v**o.
-5*v*(v + 1)**3
Let t = 248 - 246. Factor -5360*z + 0*z**2 + 5370*z + 16 + z**t.
(z + 2)*(z + 8)
Determine r so that -2*r**5 - 7*r**4 + 138*r - 12*r**3 + 64*r**2 - 5*r - 13*r**4 + 36 - 39*r = 0.
-9, -1, 2
Factor -33/2*t**3 - 1/2*t**4 - 27/2*t**2 + 157/2*t - 48.
-(t - 1)**2*(t + 3)*(t + 32)/2
Let m(q) be the second derivative of -529*q**2 - 1/6*q**4 + 0 - 46/3*q**3 - 9*q. Factor m(y).
-2*(y + 23)**2
Let c(a) be the second derivative of a**4/9 - 1292*a**3/9 + 208658*a**2/3 - 8*a + 1. Factor c(w).
4*(w - 323)**2/3
Let s be 173/(-346)*1/(-60). Let g(w) be the third derivative of 0*w + 13*w**2 - 1/48*w**4 + 1/6*w**3 - s*w**5 + 0. Factor g(h).
-(h - 1)*(h + 2)/2
Let u(i) = 6 - 8*i**4 + 3*i**4 + 9*i - 9*i**3 - 5*i**4 + 4*i**2 + 0*i**3. Let h(v) = 3*v**4 + 3*v**3 - v**2 - 3*v - 2. Let k(z) = 7*h(z) + 2*u(z). Factor k(j).
(j - 1)*(j + 1)**2*(j + 2)
Let z = -107 - -123. Let r = z + -14. Factor -266*o**r + 272*o**2 + 2 + 6*o**3 - 4*o**3 + 6*o.
2*(o + 1)**3
Let c(l) = -10*l**2 + 54*l - 13. Suppose 22*h + 210 = 27*h. Let g = h - 48. Let f(x) = 5*x**2 - 27*x + 7. Let o(a) = g*c(a) - 14*f(a). Factor o(y).
-2*(y - 5)*(5*y - 2)
Let z(r) be the first derivative of -r**8/112 - r**7/35 - r**6/40 - 15*r**2 + r - 17. Let y(c) be the second derivative of z(c). Factor y(d).
-3*d**3*(d + 1)**2
Let h = 986 + -282. Suppose -698*q - 12 = -h*q. Determine y, given that -6/17*y**q + 0*y + 8/17 - 2/17*y**3 = 0.
-2, 1
Let p be -7*((-1)/(-7))/((-1)/2). Let t be (7 - 8) + (1 - (-4)/p). Let -257 - 10*o - 5*o**2 + 254 + 2*o**t = 0. What is o?
-3, -1/3
Let j(a) = 6*a + 25. Let y(x) = -17*x - 74. Let u(v) = 11*j(v) + 4*y(v). Let n be u(-13). Suppose -n*t**2 + 0*t + 35 - 5*t - 11*t - 14*t = 0. What is t?
-7, 1
Let v(c) be the first derivative of -68 + 0*c**2 + 2/15*c**5 + 0*c**3 + 0*c - 4/3*c**4. Factor v(k).
2*k**3*(k - 8)/3
Let d(m) be the second derivative of -m**4/36 - 230*m**3/9 - 26450*m**2/3 + 67*m - 7. Factor d(y).
-(y + 230)**2/3
Factor -547*u + 3*u**2 + 1062 + 454*u - 102*u.
3*(u - 59)*(u - 6)
Let d(n) = -5*n - 2. Suppose b + 4*y - 3 = 0, 4*b - 3*y - 1 = -8*y. Let k be d(b). Factor -102*s**2 - 5*s**k - 105*s**2 + 212*s**2 + 10*s.
-5*s*(s - 2)*(s + 1)
Let w(k) be the third derivative of -k**8/336 + 11*k**7/420 + 5*k**6/48 - 5*k**5/24 - 23*k**4/48 + 7*k**3/6 + 13*k**2 + 9. Find d, given that w(d) = 0.
-2, -1, 1/2, 1, 7
Let p(r) be the third derivative of r**5/30 - 161*r**4/4 - 23*r**2 + 90. What is u in p(u) = 0?
0, 483
Factor 32/3 - 6*b + 1/3*b**2.
(b - 16)*(b - 2)/3
Let h(k) = 59*k**3 + 1507*k**2 + 10552*k + 2912. Let u(b) = -175*b**3 - 4510*b**2 - 31655*b - 8735. Let x(p) = -35*h(p) - 12*u(p). Factor x(a).
5*(a + 10)*(a + 29)*(7*a + 2)
Let k(n) be the second derivative of -n**6/65 + 37*n**5/130 - 43*n**4/78 - n**3/3 + 22*n**2/13 - 2*n - 566. Suppose k(i) = 0. Calculate i.
-2/3, 1, 11
Let i = -826110 + 5782803/7. Factor 3/7*a**4 + 72/7 - 156/7*a - i*a**3 + 114/7*a**2.
3*(a - 6)*(a - 2)**2*(a - 1)/7
Let i(u) be the first derivative of u**6/120 + 9*u**5/20 - 19*u**4/8 + 124*u**3/3 - 20. Let d(j) be the third derivative of i(j). Solve d(h) = 0.
-19, 1
Let u = -665 - -668. Solve -t**4 + 2*t**3 + t - t + 323*t**2 - 320*t**2 - 4*t**u = 0 for t.
-3, 0, 1
Let q(c) be the first derivative of c**4/8 - 4003*c**3/18 - 2671*c**2/12 + 445*c/2 - 7434. Let q(t) = 0. Calculate t.
-1, 1/3, 1335
Let l = -61 - -63. What is t in -20*t**2 - 8*t + 23*t**l - 7*t**2 = 0?
-2, 0
Suppose -k + 50 = 9*k. Let h(s) = 47*s**3 + 7*s**2 - 47*s - 7. Let z(t) = 70*t**3 + 11*t**2 - 70*t - 11. Let w(p) = k*z(p) - 7*h(p). Factor w(v).
3*(v - 1)*(v + 1)*(7*v + 2)
Factor -136 + 61 + 100 - 31*p**2 + 8*p - 9*p**2 - 23*p.
-5*(p + 1)*(8*p - 5)
Let r be (24/54 - 184/252)/(17/(-119)). Factor -3/4*x**r - 21/4 + 6*x.
-3*(x - 7)*(x - 1)/4
Let 52/5*y**3 - 52/5*y + 44/5*y**2 + 4/5*y**4 - 48/5 = 0. Calculate y.
-12, -1, 1
Let v(c) = -c**3 - 14*c**2 + 5*c + 82. Let j be v(-14). Suppose p + 11 = 3*z, 16*p = -z + 18*p + j. Factor 4/17*t + 0 - 2/17*t**3 - 2/17*t**z.
-2*t*(t - 1)*(t + 2)/17
Let d(i) be the first derivative of -i**6/90 + 7*i**5/15 - 4*i**4 + 2*i**3/3 + 34*i**2 + 82. Let h(u) be the third derivative of d(u). Let h(y) = 0. What is y?
2, 12
Let v(f) = 8*f**2 - 1158*f + 117617. Let i(x) = 15*x**2 - 2322*x + 235233. Let m(q) = 5*i(q) - 9*v(q). Determine k, given that m(k) = 0.
198
Let z(k) = -6*k**5 + 39*k**4 - 109*k**3 + 13*k**2 + 100*k - 57. Let r(s) = -2*s**5 - s**4 - s**3 + s**2 - 1. Let j(l) = -5*r(l) + z(l). Factor j(n).
4*(n - 1)**3*(n + 1)*(n + 13)
Let a = 114 + -128. Let p be 8/a*(-20 - -13). Factor -8*n**3 - 52*n**p + 50*n**4 + 13*n + 10*n + 13*n + 6*n**2.
-2*n*(n - 2)*(n + 3)**2
Let d(o) be the first derivative of -o**4/2 - 28*o**3/3 - 33*o**2 - 3897. Factor d(k).
-2*k*(k + 3)*(k + 11)
Let x(h) = -8*h + 4. Let n(s) = -9*s + 5. Let z(g) = -6*n(g) + 5*x(g). Let u(v) = -v**2 - 15*v + 11. Let i(c) = -4*u(c) - 5*z(c). Factor i(o).
2*(o - 1)*(2*o - 3)
Suppose -2*w + 3*f = -2343, -w - f + 726 = -433. Factor 0*c**3 - 8487 + w*c + 1482*c + 2*c**3 - 126*c**2 - 10035.
2*(c - 21)**3
Let g(o) be the second derivative of -o**7/56 + 23*o**6/120 + 19*o**5/40 - 7*o**4/24 - 35*o**3/24 - 9*o**2/8 - 3826*o. Find a, given that g(a) = 0.
-1, -1/3, 1, 9
Let h = -16 - -30. Suppose h*f = 12*f + 14. Factor -25*j**2 - 32*j**2 - 16*j - 246*j**4 + 210*j**4 - 84*j**3 - f*j**2.
-4*j*(j + 1)*(3*j + 2)**2
Let l(j) be the third derivative of j**6/40 - 9*j**5/20 + 3*j**4/4 + 8*j**3 - 17*j**2 + 2*j - 59. Suppose l(n) = 0. Calculate n.
-1, 2, 8
Let y(q) = -15*q + 3*q - 38 + 0*q**3 - 2*q - 7*q - 20*q**2 - q**3. Let w be y(-19). Let -1/3*k**4 + 1/3*k**3 + w + 2/3*k**2 + 0*k = 0. What is k?
-1, 0, 2
Let h(s) be the second derivative of s**4/12 - 10*s**3/3 + 48*s**2 - 729*s. What is k in h(k) = 0?
8, 12
Let w(o) be the first derivative of 22 + 0*o + 9/4*o**2 - 2*o**3 + 3/8*o**4. Solve w(c) = 0 for c.
0, 1, 3
Suppose 5/2*c**3 + 2025/2 - 65/2*c**2 - 45/2*c = 0. What is c?
-5, 9
Let o(r) be the first derivative of r**7/5040 - 13*r**5/720 + r**4/12 - 46*r**3/3 - 40. Let h(x) be the third derivative of o(x). Factor h(k).
(k - 3)*(k - 1)*(k + 4)/6
Suppose -26 + 2 = -12*r. Factor 2*w**3 - 4*w - 5*w**2 + 6*w + r*w**3 + 14*w**2.
w*(w + 2)*(4*w + 1)
Let m be -1 + 18 - (-2058)/(-126). Let p(a) be the first derivative of 0*a**3 - 17 + 0*a - 12/5*a**5 + 2*a**4 + 0*a**2 + m*a**6. Suppose p(n) = 0. What is n?
0, 1, 2
Let b(w) be the third derivative of -w**5/150 - 49*w**4 - 144060*w**3 + 3*w**2 - 123*w + 4