 16*b**3 + 6*b**2 + 3*b + 22. Solve q(n) = 0.
-36, -2, -1
Find j such that 50864/7*j**2 + 2/7*j**5 + 334084/7 - 1700/7*j**3 - 383214/7*j - 36/7*j**4 = 0.
-34, 1, 17
Suppose 14 = 3*x + 2. Let z be (-3 - -3)/(-79 + 77). Suppose z + 2/3*s**3 + 1/3*s**x + 0*s + 0*s**2 = 0. Calculate s.
-2, 0
Let o(b) be the third derivative of 3*b**2 + 1/455*b**7 + 41/780*b**6 - 98/39*b**3 + 0*b + 131/390*b**5 - 77/156*b**4 + 23. Suppose o(f) = 0. What is f?
-7, -2/3, 1
Let p(v) be the first derivative of -3*v**4/20 + 19*v**3/5 - 15*v**2 + 96*v/5 + 5843. Solve p(s) = 0.
1, 2, 16
Suppose -8 = -2*r - 3*p, -3*r + 12 = -0*r + 4*p. Let b be r/(-2) - -2 - 5*-1. Factor -h**5 + 17*h**5 - 14*h**b.
2*h**5
Let h(m) be the first derivative of -5/48*m**5 + 0*m**2 + 0*m + 5/8*m**4 + 1/144*m**6 + 35 + 2/3*m**3. Let i(v) be the third derivative of h(v). Factor i(d).
5*(d - 3)*(d - 2)/2
Let x = 49290 - 17744389/360. Let h(u) be the third derivative of 0*u + 4/9*u**3 - x*u**6 + 0 - 1/2*u**4 - 7/30*u**5 + 40*u**2. Factor h(s).
-(s + 2)**2*(11*s - 2)/3
Let h(b) be the third derivative of -b**6/1620 - b**5/135 + 5*b**4/108 + 65*b**3/6 - 19*b**2. Let w(t) be the first derivative of h(t). Factor w(j).
-2*(j - 1)*(j + 5)/9
Suppose 2235 + 4465/2*r - 5/2*r**2 = 0. Calculate r.
-1, 894
Let -25/2 + 31/4*s**3 + 5/4*s + 3/4*s**4 + 83/4*s**2 = 0. Calculate s.
-5, -1, 2/3
Factor -62/3*g**2 + 2/9*g**3 - 1350 + 510*g.
2*(g - 45)**2*(g - 3)/9
Let t(u) be the first derivative of -2*u**5/45 + 29*u**4/6 - 130*u**3 - 675*u**2 - 3236. Let t(b) = 0. Calculate b.
-3, 0, 45
Let o = 196892/133 - 28122/19. Let n be ((-9)/(-42))/(6/32). Let -8/7*k + n + o*k**2 = 0. What is k?
2
Let w(x) be the third derivative of 0*x**3 - 1/140*x**5 - 45*x**2 + 0*x**4 + 0*x + 0. Suppose w(d) = 0. What is d?
0
Let m(v) be the third derivative of v**5/105 - 25*v**4/56 - 19*v**3/42 + 1925*v**2. Find a such that m(a) = 0.
-1/4, 19
Let h be (-12)/32*-10 - 18/24. Determine i, given that -5*i**4 - 405*i**2 - 182*i**3 + 26*i - 60 - 30*i**4 + 15*i**5 - 286*i - 73*i**h = 0.
-1, -2/3, 6
Let t(c) = -50*c + 93. Let k be t(-22). Let j = k + -1191. Factor 25/2 + 1/8*w**j - 5/2*w.
(w - 10)**2/8
Let s be ((-45)/(-10) - 4)*26. Let q(o) = 8*o**3 - 64*o**2 - 139*o - 93. Let l(n) = 4*n**3 - 32*n**2 - 70*n - 46. Let d(p) = s*l(p) - 6*q(p). Factor d(i).
4*(i - 10)*(i + 1)**2
Let 1/3*y**3 - 257/3*y - 127/3*y**2 - 43 = 0. Calculate y.
-1, 129
Determine h so that -162 + 240*h**4 + 100*h**5 + 92*h**5 - 1424*h**2 - 713*h + 317*h**2 - 418*h**3 - 74*h**3 - 16*h = 0.
-1, -3/4, 2
Let l(w) = -64*w**3 - 11*w**2 - 152*w + 317. Let r(c) = 86*c**3 + 12*c**2 + 152*c - 316. Let q(t) = -4*l(t) - 3*r(t). Factor q(a).
-2*(a - 10)*(a - 2)*(a + 8)
Suppose 13221/2*h - 13689 + 116*h**2 + 1/2*h**3 = 0. Calculate h.
-117, 2
Let f(y) be the third derivative of -y**6/90 - 10*y**5/9 + 103*y**4/18 - 104*y**3/9 + 2786*y**2. Factor f(k).
-4*(k - 1)**2*(k + 52)/3
Let q(a) be the first derivative of 4/9*a**3 + 0*a + 1/3*a**2 + 102 - 5/24*a**4. Factor q(s).
-s*(s - 2)*(5*s + 2)/6
Let h(m) be the first derivative of -m**7/210 + 2*m**6/45 - 38*m**3/3 - 9. Let o(d) be the third derivative of h(d). Factor o(n).
-4*n**2*(n - 4)
Let j = 2803009/1538 + -2/769. Let w(a) be the second derivative of -405/2*a**3 - j*a**2 + 29*a - 45/4*a**4 - 1/4*a**5 + 0. Factor w(k).
-5*(k + 9)**3
Factor 95*y - 34*y**2 + 38*y**2 + 25*y - 7*y**2 - 575 + 2*y**2.
-(y - 115)*(y - 5)
Factor -14*q**4 - 160*q**2 - 128*q - q**5 - 26270*q**3 - 4 + 4 + 26198*q**3.
-q*(q + 2)*(q + 4)**3
Let u(j) = j + 9. Let z be u(-1). Suppose 0 = -5*h + 9*h - z. Factor 46*x**3 - 85*x**3 + h*x**5 + 4*x**4 + 41*x**3.
2*x**3*(x + 1)**2
Let b = 7 - 15. Let q(t) = 9*t**2 + 29*t. Let c(k) be the first derivative of -14*k**3/3 - 22*k**2 - 547. Let g(n) = b*q(n) - 5*c(n). Let g(w) = 0. Calculate w.
-6, 0
Let r be (-1 + -7 + -4)*-13 + -4. Factor -76*m**3 - 9*m + 77*m**3 - 23*m**2 + r*m - 121.
(m - 11)**2*(m - 1)
Suppose -30*u = -26*u. Let d = u + 2. Find i, given that 16 + 3*i**d - 32*i + 5*i**4 + i**2 - 18*i**4 + 28*i**3 + 4*i**5 - 7*i**4 = 0.
-1, 1, 2
Let h(n) = n + 13. Let j be h(-14). Let q be j/2*-2 - (-1 + -1). Factor d - 3*d**4 + 28*d**2 - 37*d**2 + 9*d**q + 2*d.
-3*d*(d - 1)**3
Factor -6/11*i**3 + 96/11*i**2 + 114/11*i - 204/11.
-6*(i - 17)*(i - 1)*(i + 2)/11
Let z = 169275 + -169270. Find f, given that 3*f**2 + 1/2*f**z - 2*f**4 + 0*f + 0 + 1/2*f**3 = 0.
-1, 0, 2, 3
Let a(u) = -12*u**3 - 78*u**2 + 641*u + 21. Let q(c) = 5*c**3 + 39*c**2 - 321*c - 9. Let m(r) = -3*a(r) - 7*q(r). Factor m(x).
x*(x - 27)*(x - 12)
Solve -5310*r + 1111*r**3 - 486 + 121/2*r**4 - 28607/2*r**2 = 0 for r.
-27, -2/11, 9
Factor -f**4 - 7*f**2 - 44*f**2 + 72*f + 12*f**4 - 26*f**3 + 23*f**2.
f*(f - 2)**2*(11*f + 18)
Let o be 15 + (-5)/(15/(-6)) - (-118844)/(-8140). Let q be (-2)/(-10) - 2/(-5). Let -48/5*w + 12/5 + o*w**3 - q*w**2 = 0. Calculate w.
-2, 1/4, 2
Let s(u) be the second derivative of -5*u**8/21 - 4*u**7/7 + 5*u**6/8 - u**5/6 + 76*u**2 - 6*u - 2. Let c(b) be the first derivative of s(b). Factor c(h).
-5*h**2*(h + 2)*(4*h - 1)**2
Let n = -117099 - -585502/5. Determine r, given that -26/5*r**3 + 27/5*r**2 + n*r**4 - 4/5*r - 4/5 = 0.
-2/7, 1, 2
Let d(y) be the second derivative of 1/15*y**5 + 1/135*y**6 + 11/27*y**3 - 67*y - 1 - 1/189*y**7 - 1/3*y**2 - 7/27*y**4. Suppose d(q) = 0. What is q?
-3, 1
Factor 20*o - 7/5*o**2 - 192/5.
-(o - 12)*(7*o - 16)/5
Let j be 82/26 + 24/(-156). Let r be (-52)/9 - (-41)/(451/66). Determine s, given that 2/3*s**j + 4/9*s - 2/9*s**4 + 0 + 10/9*s**2 - r*s**5 = 0.
-1, 0, 2
Let r(t) be the first derivative of -4/5*t**5 + 0*t + 34 + 4/3*t**3 + 2/3*t**6 + 12*t**2 - 7*t**4. Determine z, given that r(z) = 0.
-2, -1, 0, 1, 3
Let 132*r**4 + 174*r**5 - 126*r**2 + 255*r**3 + 12*r**4 + 123*r**5 - 282*r**5 = 0. What is r?
-7, -3, 0, 2/5
Let s(f) be the second derivative of -f**5/4 - 10*f**4/3 + 484*f. Factor s(p).
-5*p**2*(p + 8)
Let z(l) be the second derivative of -l**5/150 + 9*l**4/20 - 52*l**2 - 12*l - 1. Let r(h) be the first derivative of z(h). Suppose r(p) = 0. Calculate p.
0, 27
Let b = 210 + -208. Solve -7*h**b + 21139*h + 2*h**2 - 95 - 21039*h = 0 for h.
1, 19
Let u(n) be the first derivative of -3*n**6/8 - 97*n**5/20 - 97*n**4/8 + 4*n**3 - 2325. Suppose u(t) = 0. What is t?
-8, -3, 0, 2/9
Let u(y) = 19*y**3 + 45*y**2 - 203*y + 219. Let j(i) = 92*i**3 + 224*i**2 - 1016*i + 1096. Let r(d) = 5*j(d) - 24*u(d). Solve r(v) = 0.
-14, 2
Let h be (-8736)/(-92232) - 10/(-610). Find c, given that h*c**4 - 5/9*c**3 + 0 - 4/9*c + 8/9*c**2 = 0.
0, 1, 2
Let v be (-16867)/10521 + (-84)/(-49). Factor -2/3*a + 5/9*a**2 + v*a**3 + 0.
a*(a - 1)*(a + 6)/9
Suppose b = 4*f - 32, 4*b + 259 - 283 = -3*f. Let p(l) be the first derivative of -15 + 10/3*l**2 + f*l + 4/9*l**3. Suppose p(c) = 0. What is c?
-3, -2
Let t(c) be the first derivative of c**3 - 3537*c**2/2 - 3540*c + 5353. Let t(s) = 0. What is s?
-1, 1180
Suppose 4*p - 3*w - 71 = 0, -p + 37 = 7*w - 5*w. Let q(h) be the first derivative of -p + 1/3*h**4 - 16/9*h**3 - 8/3*h + 10/3*h**2. Suppose q(y) = 0. What is y?
1, 2
Let n(g) be the third derivative of g**8/1344 - 19*g**7/840 + 21*g**6/160 + 103*g**5/240 - 2*g**4/3 - 7*g**3/2 - 12*g**2 + 43*g. Find r such that n(r) = 0.
-1, 1, 6, 14
Let u(l) be the third derivative of -23*l**5/30 + 61*l**4/12 - 38*l**3/3 + 1361*l**2. Factor u(p).
-2*(p - 1)*(23*p - 38)
Let g(s) be the third derivative of s**6/150 + 3*s**5/100 + s**4/60 - 618*s**2. Factor g(p).
p*(p + 2)*(4*p + 1)/5
Suppose -2*x + 4*q = -718, 4 = 3*q - 5. Let h = 365 - x. Solve 3*p**2 + h - 9*p - 1/4*p**3 = 0.
0, 6
Let s(o) be the third derivative of -3 + 1/75*o**5 + 1/15*o**3 - 1/15*o**4 + 1/75*o**6 + 2*o**2 - 1/175*o**7 + 0*o. Find t, given that s(t) = 0.
-1, 1/3, 1
Let u = -471 - -479. Let c be 4/u + 33/22. Solve 18/19 - 12/19*x + 2/19*x**c = 0.
3
Factor 1/5*h**2 + 34*h + 0.
h*(h + 170)/5
Let j be (48/96)/(3/12). Let b = 82/225 + 2/25. Factor -b*t**j - 4/9*t**3 + 4/9*t + 4/9.
-4*(t - 1)*(t + 1)**2/9
Let j be (-13)/(-2) + 3/(-2). Let i(c) = -c**3 + 4*c**2 + 8*c - 13. Let t be i(j). Factor -4 - 7*y**t - 10*y**2 + 21*y**2.
4*(y - 1)*(y + 1)
Let g(j) = -j**3 + 15*j**2 + 3*j - 42. Let s be g(15). Find y, given that -12*y**s + 21*y + 3*y + 10*y**2 + 18*y**2 = 0.
-2/3, 0, 3
Find k such that -