Let k(t) be the first derivative of t**6/288 - 25*t**5/96 - 65*t**4/48 + 22*t**3 + t**2/2 + 65. Let r(o) be the third derivative of k(o). Factor r(z).
5*(z - 26)*(z + 1)/4
Let x(h) be the third derivative of 2*h**7/105 - 4*h**5/15 - 418*h**2. Factor x(g).
4*g**2*(g - 2)*(g + 2)
Let k(m) be the first derivative of 16*m**2 - 8/3*m**3 + 72 + 0*m - m**4. Let k(n) = 0. Calculate n.
-4, 0, 2
Let w(b) be the first derivative of b**7/210 - b**6/8 + 4*b**5/5 + 8*b**4/3 + 2*b**2 - 31. Let i(o) be the second derivative of w(o). Solve i(p) = 0 for p.
-1, 0, 8
Let l = -2510/91 + 366/13. Let r(g) be the first derivative of -l*g**2 + 0*g + 4/35*g**5 - 20/21*g**3 - 7 - 3/7*g**4 + 2/21*g**6. Factor r(t).
4*t*(t - 2)*(t + 1)**3/7
Let h(n) be the second derivative of n**5/60 - 7*n**3/6 - 10*n**2/3 + 438*n - 2. What is p in h(p) = 0?
-4, -1, 5
Let y(r) be the third derivative of -r**5/180 - 14*r**4/3 - 111*r**3/2 + 9*r**2 - 38*r + 6. Factor y(j).
-(j + 3)*(j + 333)/3
Let q(u) be the third derivative of -u**5/15 - 853*u**4/3 - 1455218*u**3/3 - 7*u**2 + 23*u. Let q(z) = 0. Calculate z.
-853
Let r(x) = 21*x**4 + 191*x**3 + 323*x**2 - 510*x - 24. Let h(y) = y**3 - y**2 + 1. Let j(l) = 2*h(l) - 2*r(l). Solve j(q) = 0 for q.
-5, -1/21, 1
Let b = 8201/49278 + 2/8213. Let m(f) be the first derivative of 1/8*f**4 - b*f - 6 + 1/12*f**2 + 5/18*f**3. Find l such that m(l) = 0.
-1, 1/3
Let s be 96/6 - 283/18. Let q(j) be the second derivative of -s*j**3 - 1/6*j**4 + 0 - 1/60*j**5 - 25*j + 0*j**2. Determine g so that q(g) = 0.
-5, -1, 0
Factor 139*q**2 + 196*q - 251*q**2 + 113*q**2 - 197.
(q - 1)*(q + 197)
Suppose 19*v = 600 + 312. Suppose -16*i = -4*i - v. Suppose 4/3 - 2*b + 2*b**i + 10/3*b**3 - 4/3*b**5 - 10/3*b**2 = 0. Calculate b.
-1, 1/2, 1, 2
Solve 31080696*g + 0 + 4902*g**4 + 77274024*g**2 - 15/2*g**5 - 1067328*g**3 = 0 for g.
-2/5, 0, 218
Let x be (-960)/(-68) + -1 - 22/187. Let w(q) be the second derivative of -x*q + 0*q**3 + 6*q**2 + 0 - 1/4*q**4. Find k such that w(k) = 0.
-2, 2
Let y(h) be the third derivative of -h**2 + 0*h**3 + 7/4*h**5 + 5/24*h**6 + 5/6*h**4 - 37*h + 0. Factor y(f).
5*f*(f + 4)*(5*f + 1)
Let r(c) be the third derivative of c**6/720 - 83*c**5/90 + 1763*c**4/9 - 26896*c**3/9 - 47*c**2 - 13*c. Factor r(m).
(m - 164)**2*(m - 4)/6
Let v(o) be the second derivative of o**6/40 + 57*o**5/80 - 7*o**4/16 - 127*o**3/8 + 171*o**2/4 + 80*o - 3. Determine k, given that v(k) = 0.
-19, -3, 1, 2
Let h(u) = -2*u**2 + 14*u - 11. Let i be h(9). Let t be (-7)/(-28) - i/4. Factor -15*q**2 + 10*q + 2*q**3 - 4 + t*q**2 - 5*q**2.
2*(q - 2)*(q - 1)**2
Let n(c) be the third derivative of -1/12*c**3 + 0 + 34*c**2 + 1/960*c**6 + 1/24*c**4 + 2*c - 1/96*c**5. Factor n(z).
(z - 2)**2*(z - 1)/8
Suppose 5*u - 18 = 2*l - 3*l, 3*u + l = 10. Find n such that -82*n**2 - 60*n**2 - 6*n**3 + 307*n**2 - 3*n**u - 432 - 264*n = 0.
-9, -1, 4
Let v(w) = -w**3 - 11*w**2 - 30*w - 157. Let i be v(-11). Suppose -4*l + 185 - i = 0. Solve 4/9*b**l - 4/3 - 14/9*b + 2/9*b**2 = 0.
-3/2, -1, 2
Suppose 12*p + 553 = 493. Let x be (-165)/150*p + (-2 - 2). Determine a so that -9/2*a**2 + 0 + 0*a**3 + x*a**4 + 3*a = 0.
-2, 0, 1
Let d(b) = -b**3 + 2*b**2 - 10*b + 11. Let a be d(4). Let p = -56 - a. Let -8*v**3 - 28*v**4 - v**5 - 2*v - 16 + 18*v + 44*v**2 - 7*v**p = 0. Calculate v.
-2, -1, 1/2, 1
Let c(x) be the third derivative of x**5/20 + 193*x**4/4 - 387*x**3/2 - 6*x**2 - 2. Factor c(g).
3*(g - 1)*(g + 387)
Let v = -43 - -55. Let x be (-2)/4*(14 - v - 6). Find d such that -2*d + 4/5*d**x - 12/5 + 2/5*d**3 = 0.
-3, -1, 2
Suppose 17/2*l**3 - 309/2*l**2 - 17/2*l + 154 + 1/2*l**4 = 0. What is l?
-28, -1, 1, 11
Let j(d) be the first derivative of 22/3*d**3 + 0*d - 23 + 3*d**2 - 2*d**4. Suppose j(n) = 0. Calculate n.
-1/4, 0, 3
Suppose -x + 70 = 5*a, -6*x + 7*a - 3*a - 56 = 0. Factor 0*s + x - 10/7*s**3 - 2/7*s**5 + 4/7*s**2 + 8/7*s**4.
-2*s**2*(s - 2)*(s - 1)**2/7
Factor -h**3 + 11*h**2 + 351 - 59 + 79*h + 209*h + 84*h**2 - 26*h**2.
-(h - 73)*(h + 2)**2
Let p = -1378015/3 + 459349. Factor -2/9*l**2 - 128 - p*l.
-2*(l + 24)**2/9
Suppose -461*p = -1897 + 975. Let 21/2*g**3 + 0 + 1/2*g**4 + 60*g**p + 50*g = 0. What is g?
-10, -1, 0
Let n be (240380/(-56))/(-85) - -10. Factor n + 1/2*y**2 + 11*y.
(y + 11)**2/2
Let z(w) be the third derivative of -w**6/720 - 167*w**5/360 - 7055*w**4/144 - 6889*w**3/36 + 284*w**2 - 1. Suppose z(t) = 0. What is t?
-83, -1
Suppose 0 = 14*k + 8*k - 44. Let l(s) = 2*s**2 - 1. Let t(c) = -2*c**3 - 12*c**2 - 10*c - 2. Let b(i) = k*t(i) + 4*l(i). Solve b(d) = 0 for d.
-2, -1
Let f(m) be the first derivative of -m**5/5 + 155*m**4 + 3152. Factor f(c).
-c**3*(c - 620)
Let x(k) be the second derivative of k**7/1050 + k**6/600 + 2*k**2 - 32*k. Let j(z) be the first derivative of x(z). Factor j(v).
v**3*(v + 1)/5
Let g(m) be the first derivative of -3*m**4/8 - 9*m**3/2 + 33*m**2/2 - 502. Factor g(s).
-3*s*(s - 2)*(s + 11)/2
Let n(f) = -5*f**2 + 19*f. Let u(w) = -108*w**2 + 416*w. Let r(x) = -130*n(x) + 6*u(x). Find b, given that r(b) = 0.
-13, 0
Let q be (0 + 4 - -6) + -3. Determine v so that 392 - 201*v - 107*v**2 - q*v**3 - 1227*v + 305*v**2 = 0.
2/7, 14
Let d(i) = 2*i**2 + 6*i + 2. Suppose 126 = 25*p - 23*p. Let q = 61 - p. Let f(x) = x - 1. Let y(g) = q*d(g) - 4*f(g). What is n in y(n) = 0?
-4, 0
Factor -4185*q - 4219*q - q**2 - 106 + 8373*q + 22.
-(q + 3)*(q + 28)
Suppose 2/3*w**3 - 1/3*w**2 + 1/3*w**4 + 0 - 2/3*w = 0. What is w?
-2, -1, 0, 1
Let o(l) be the third derivative of -l**5/330 + l**4/6 - 35*l**3/11 - 1442*l**2. Factor o(n).
-2*(n - 15)*(n - 7)/11
Let i(s) be the second derivative of -1/14*s**7 - 5/2*s**4 + 2*s**3 + 3 + 2/5*s**6 + 12*s**2 - 3/20*s**5 + 14*s. Factor i(n).
-3*(n - 2)**3*(n + 1)**2
Let m(g) = g**3 - g**2 + g + 224. Let t be m(0). Let z be 736/t - 2/7. Factor 22 + 2280*d**2 - 70 - 2259*d**2 - 24*d - 3*d**z.
-3*(d - 4)**2*(d + 1)
Let r be 46/1 + (252 - 295). Find x, given that 0 + 7/3*x**2 + 13/6*x + 1/6*x**r = 0.
-13, -1, 0
Let n(l) = -27*l**2 + 1404*l - 162855. Let t(y) = 23*y**2 - 1403*y + 162857. Let c(f) = -5*n(f) - 6*t(f). Suppose c(r) = 0. Calculate r.
233
Let r = -3235 - -3238. Let o(n) be the third derivative of 0*n**r + 0 - 1/84*n**4 - 1/210*n**5 - 16*n**2 + 0*n. Suppose o(b) = 0. What is b?
-1, 0
Let i(d) be the third derivative of -254*d**2 + 0 + 0*d - 1/40*d**5 - 11/4*d**4 - 121*d**3. Factor i(z).
-3*(z + 22)**2/2
Determine d so that 58/3*d**2 + 8/3*d**3 + 0 + 16*d - 2/3*d**4 = 0.
-3, -1, 0, 8
Let s(l) be the first derivative of 2*l**5/25 - 84*l**4/5 + 334*l**3/15 - 6574. Let s(g) = 0. What is g?
0, 1, 167
Let b(c) = c**3 - 4*c**2 - c - 62. Let p be b(6). Solve 43*o**5 + 15*o + 5*o + 2286*o**4 + 585*o**3 + 185*o**2 + 92*o**5 - 1611*o**p = 0 for o.
-4, -1/3, 0
Factor -3872/5*h + 0 + 2728*h**2 - 3504/5*h**3 + 234/5*h**4.
2*h*(3*h - 22)**2*(13*h - 4)/5
Factor 0 + 159/4*f**2 + 3/4*f**4 + 21/2*f**3 + 30*f.
3*f*(f + 1)*(f + 5)*(f + 8)/4
Let o(p) be the first derivative of 1/3*p**3 - 7 + 10*p + 11/2*p**2. Factor o(d).
(d + 1)*(d + 10)
Let g(s) be the first derivative of 5*s**6/3 + 7*s**5 - 35*s**4 + 20*s**3 - 303. Suppose g(o) = 0. What is o?
-6, 0, 1/2, 2
Let x(f) be the first derivative of 5*f + 2/27*f**3 - 1/54*f**4 - 1/9*f**2 - 1. Let a(h) be the first derivative of x(h). Find g such that a(g) = 0.
1
Let i = 2 - 5. Let l = 0 - i. Determine b, given that -b**4 + 0*b - 6 - 2*b**4 + 10*b**2 + 3*b - 3*b**l - b**2 = 0.
-2, -1, 1
Let d(u) be the third derivative of u**6/1080 - 1531*u**5/180 + 2343961*u**4/72 - 3588604291*u**3/54 + 3906*u**2. Find z such that d(z) = 0.
1531
Let c(v) = -5*v**3 - 83*v**2 - 328*v + 2884. Let g(b) = b**3 + 10*b**2 - 2*b - 1. Let z(q) = -5*c(q) - 20*g(q). Factor z(f).
5*(f - 5)*(f + 24)**2
Let x be -6 - -49 - (-3)/(-12)*4. Let p be 30/105 - (153/x)/(-3). Determine q, given that p*q**2 + 0*q - 2 + 1/2*q**3 = 0.
-2, 1
Let s = 826 - 623. Factor s*g - 19*g**2 - 17*g**2 - 5*g**3 + g**2 - 220 - 3*g.
-5*(g - 2)**2*(g + 11)
Let x(n) be the third derivative of -n**7/504 + n**6/108 + 11*n**5/72 - 5*n**4/6 + 5*n**3 + 57*n**2 + n. Let z(i) be the first derivative of x(i). Factor z(j).
-5*(j - 4)*(j - 1)*(j + 3)/3
Factor -10359*t**3 + 23846418*t**2 + 0 - 18298151412*t + 3/2*t**4.
3*t*(t - 2302)**3/2
Factor -92/5 - 4/5*f**2 - 96/5*f.
-4*(f + 1