e the first derivative of b**7/4620 - b**6/495 + b**5/132 - b**4/66 + 70*b**3/3 + 92. Let z(j) be the third derivative of o(j). Factor z(x).
2*(x - 2)*(x - 1)**2/11
Determine f, given that -9/2*f**3 - 30 - 103/2*f - 1/6*f**4 - 155/6*f**2 = 0.
-20, -3, -1
Let v(z) be the first derivative of 5*z**4/12 - 965*z**3/3 + 186245*z**2/2 - 35945285*z/3 - 5278. Solve v(s) = 0.
193
Let p = -7088 - -7091. Let j(b) be the second derivative of 1/4*b**5 + 0*b**2 + 5/12*b**4 - 5/6*b**p - 3*b - 1/6*b**6 + 0. Factor j(n).
-5*n*(n - 1)**2*(n + 1)
Let m(n) be the third derivative of -4*n**2 - 1/1140*n**6 + 0 - 1/114*n**5 - 7/57*n**3 + 13/228*n**4 + 6*n. Solve m(k) = 0 for k.
-7, 1
Let i(g) be the first derivative of -4/3*g**3 - 232*g**2 - 127 - 13456*g. Factor i(m).
-4*(m + 58)**2
Let u(i) = -i**3 + 22*i**2 + 10. Let h be u(22). Factor -2*q**2 - h*q**2 + 14*q**2 - 18*q.
2*q*(q - 9)
Suppose 461995*o = 461963*o + 576. Suppose 2/3*d**4 - o*d**2 + 14/3*d**3 + 58/3*d - 20/3 = 0. What is d?
-10, 1
Suppose 4*a + 50 = -2*w, -5*w - 4*a - 8*a = 153. Let -2*v**4 - 22/3*v**w + 4/3 - 2/3*v - 22/3*v**2 = 0. What is v?
-2, -1, 1/3
Let j = 530 - 527. Suppose 4*o = t - 22, 10*o = -j*t + 15*o + 31. Suppose 0 - 10/7*z**t + 4/7*z + 10/7*z**4 + 2/7*z**3 - 6/7*z**5 = 0. Calculate z.
-1, 0, 2/3, 1
Suppose g + 0 - 6 = 0. Let p be 12606/1716 + 16/104. Factor g + p*c**2 - 27/2*c.
3*(c - 1)*(5*c - 4)/2
Let n be 15/10*4 + -2. Suppose -255*k**4 - 7424*k**2 + 1420*k**n - 5968*k**3 + 576 - 180*k**5 + 783*k**4 + 2016*k**3 - 768*k = 0. What is k?
-1, -2/5, 2/9, 6
Let v(a) be the third derivative of 54*a**2 + 10/39*a**3 + 7/156*a**4 + 0*a + 1/390*a**5 + 0. Determine p, given that v(p) = 0.
-5, -2
Let m(w) = 7*w**3 - 250*w**2 + 5043*w + 12. Let o(q) = -8*q**3 + 251*q**2 - 5043*q - 15. Let f(c) = -5*m(c) - 4*o(c). Factor f(v).
-3*v*(v - 41)**2
Let 218/19*g - 36/19 - 336/19*g**2 + 18/19*g**3 = 0. Calculate g.
1/3, 18
Let r(p) = 10*p**2 + 178*p + 2116. Let k(l) = 9*l**2 + 179*l + 2116. Suppose -8*m + 2*m - 36 = 0. Let q(j) = m*k(j) + 5*r(j). Factor q(f).
-4*(f + 23)**2
Let s be (-87)/18 - (-3 - 2) - (-2)/36. Let g(x) be the first derivative of -6*x - s*x**3 - 13 + 2*x**2. Factor g(p).
-2*(p - 3)**2/3
Let r(z) be the first derivative of -2*z**3/33 + 16*z**2/11 + 24*z + 549. Factor r(g).
-2*(g - 22)*(g + 6)/11
Let t = 711610/3 + -237202. Suppose -16/9 + t*i**2 - 20/9*i**3 + 20/9*i + 4/9*i**4 = 0. What is i?
-1, 1, 4
Let b(f) be the third derivative of -f**7/140 + 3*f**5/40 + f**4/8 + 2*f**2 + 761*f. Factor b(t).
-3*t*(t - 2)*(t + 1)**2/2
Let l(f) be the second derivative of -f**5/70 + 37*f**4/21 - 47*f**3/7 - 216*f**2/7 - 7643*f. Factor l(p).
-2*(p - 72)*(p - 3)*(p + 1)/7
Factor 20/9*u + 0 - 2/3*u**2 - 2/9*u**3.
-2*u*(u - 2)*(u + 5)/9
Let a(g) = -2*g - 18. Suppose 0 = -3*t - 5*t - 80. Let q be a(t). Solve -z**4 - 6*z**3 - 4*z**3 - 10*z**q - z**4 + 2*z**2 = 0.
-4, -1, 0
Suppose 8 = -96*o + 93 + 24 + 83. Suppose 10/3*m**o + 26/3*m - 2/3*m**3 + 14/3 = 0. What is m?
-1, 7
Factor -62/3*u**3 + 440*u**2 + 1/3*u**4 + 16000/3 - 10400/3*u.
(u - 20)**3*(u - 2)/3
Let p = -664 + 670. Factor -12 + u**3 - p*u - 5*u - 11*u + 3*u**2 + 22*u - 4*u.
(u - 2)*(u + 2)*(u + 3)
Let b(q) = -3*q**2 + 51*q - 6. Let j(k) = -3*k**2 + 56*k - 8. Let c(s) = 4*b(s) - 3*j(s). Solve c(w) = 0 for w.
0, 12
Let d(y) be the third derivative of -y**7/350 - y**6/200 + 53*y**5/50 - 37*y**4/5 + 96*y**3/5 + 298*y**2 - 22. Determine g, given that d(g) = 0.
-12, 1, 2, 8
Let c(j) be the first derivative of -44 - 225/8*j - 1/24*j**3 + 15/8*j**2. What is b in c(b) = 0?
15
Let i(d) = -4 - 8*d**2 + 4 + 10*d - d**3 + 12. Let s be i(-9). Find b, given that -40*b**2 + 3*b + b + b + 5*b**s + 30*b**2 = 0.
0, 1
Let s be (-5)/180*18/56*(-8)/12. Let d(q) be the third derivative of -1/420*q**5 - s*q**4 + 10*q**2 + 0*q + 0 + 0*q**3. Suppose d(m) = 0. What is m?
-1, 0
Let w(h) be the third derivative of -2*h**2 - 5/12*h**6 + 0 + 15*h**4 - 26*h + 0*h**3 - h**5 - 1/42*h**7. Solve w(d) = 0 for d.
-6, 0, 2
Let d be 50/(-6)*1/3. Let h = 143/45 + d. Factor 2/5 + 0*b - h*b**2.
-2*(b - 1)*(b + 1)/5
Factor -1947/2 - 975*s - 3/2*s**2.
-3*(s + 1)*(s + 649)/2
Let x = 393130 + -393128. Factor -78/7 - 82/7*i**x - 158/7*i - 2/7*i**3.
-2*(i + 1)**2*(i + 39)/7
Suppose 5*v - 4*o = 593, -3*v - o + 4*o + 357 = 0. What is z in -v*z + 60*z**2 + 63*z**3 - 108*z + 237*z - 21*z**5 - 6*z**4 = 0?
-1, -2/7, 0, 2
Let k(b) = 5*b**3 + 47*b**2 + 160*b - 194. Let y(z) = -9*z**3 - 91*z**2 - 320*z + 390. Let m(l) = -5*k(l) - 3*y(l). Solve m(p) = 0 for p.
-10, 1
Let s = -96 - -97. Let f be s/(2/4) + 6/(-4). Find j such that 0 + 1/4*j**4 + 1/2*j**3 - f*j - 1/4*j**2 = 0.
-2, -1, 0, 1
Let s(h) be the first derivative of -7/10*h**4 + 16/5*h + 44/15*h**3 + 108 - 23/5*h**2. Factor s(d).
-2*(d - 1)**2*(7*d - 8)/5
Let u(p) be the second derivative of 2*p**6/15 + 11176*p**5/5 + 15612872*p**4 + 174489457472*p**3/3 + 121880886044192*p**2 - 5*p - 117. Factor u(o).
4*(o + 2794)**4
Let r be (1 + 0 + (-1195)/45)*(-46)/(5612/183). Factor -5/3*o**2 + 250/3 - r*o.
-5*(o - 2)*(o + 25)/3
Let x be 13/(65/(-20)) + 12. Factor -272*z**2 + 15*z + x + 2 + 2*z + 278*z**2.
(z + 2)*(6*z + 5)
Find t, given that -1463*t**3 + 516*t**3 - 28*t - 1310*t**2 + 5*t**4 - 852*t + 522*t**3 = 0.
-2, -1, 0, 88
Let c(f) be the third derivative of f**6/120 - 3*f**5/10 - f**4/24 + 3*f**3 + 497*f**2 - 2. Factor c(d).
(d - 18)*(d - 1)*(d + 1)
Suppose -5*v = -g + 3 - 25, -5*v - g = -18. Let j = -1 + 4. Factor 13*w**v + 3*w - 2*w**2 + 3 - 4*w**2 - 6*w**j + 3*w**5 - 10*w**4.
3*(w - 1)**2*(w + 1)**3
Let q(w) be the first derivative of 535*w**3 + 120 + 185/4*w**4 - 3610*w + w**5 - 2185/2*w**2. Find t, given that q(t) = 0.
-19, -1, 2
Let d(w) be the second derivative of w**10/2520 - w**9/840 + 9*w**8/8960 - w**7/3360 - 16*w**4/3 - 93*w. Let j(x) be the third derivative of d(x). Factor j(c).
3*c**2*(c - 1)*(4*c - 1)**2/4
Suppose 40 = -5*i, -30*i = -9*h + h - 27*i + 56. Factor 288/7*p**2 + 0 - 48/7*p**3 - 40/7*p**h + 0*p - 4/7*p**5.
-4*p**2*(p - 2)*(p + 6)**2/7
Let j = 18667/782250 - 1/18625. Let m(q) be the third derivative of 0*q - 5/6*q**4 - j*q**7 + 10/3*q**3 - 1/4*q**5 + 1/6*q**6 + 0 - 16*q**2. Solve m(x) = 0.
-1, 1, 2
Let f(i) be the third derivative of -i**8/50400 - i**7/700 - 17*i**6/1800 - 79*i**5/20 + 163*i**2. Let d(o) be the third derivative of f(o). Factor d(w).
-2*(w + 1)*(w + 17)/5
Let q be (-140)/(-6) - (-11)/(-33). Find x such that 3*x**5 + 6*x + 125*x**3 - 37*x**3 + 17*x**4 - 23*x**3 - 34*x**3 + q*x**2 = 0.
-3, -1, -2/3, 0
Let l = -743611/4 - -185914. Solve -l*w + 5/2 - 25/4*w**2 = 0 for w.
-2, 1/5
Let d(h) be the first derivative of -h**6/12 + 7*h**5/4 - 65*h**4/24 + 134*h + 23. Let l(k) be the first derivative of d(k). What is q in l(q) = 0?
0, 1, 13
Factor -2/3*b**3 + 152/3*b + 112/3 + 13*b**2 - 1/3*b**4.
-(b - 7)*(b + 1)*(b + 4)**2/3
Let k = -53 - -21. Let q = k - -37. Suppose 15*p**q - 2*p - 10*p**5 - 5*p**4 - 9*p**3 - 6*p**5 - 7*p**2 = 0. What is p?
-2, -1, 0
Let 6/7*o**3 - 206/7*o - 83/7*o**2 - 32/7 = 0. Calculate o.
-2, -1/6, 16
Suppose -6*w = -125 - 13. Suppose 44 = 45*p - w*p. Find a such that 1/2*a**p - 1 + 1/2*a = 0.
-2, 1
Suppose -4*z + 45 = 25. Determine c, given that 12 - 52*c - 21*c**3 - 15*c**4 + c**5 - 4*c**z + 76*c + 3*c**2 = 0.
-2, -1, 1
Let x be (-6)/(-2)*(-250)/150. Let a(w) = -w**2 + w. Let i(h) = -2*h**3 + 3*h**2 + 13*h - 32. Let r(k) = x*a(k) + i(k). Factor r(q).
-2*(q - 4)*(q - 2)*(q + 2)
Let k(z) be the third derivative of -z**6/30 + 76*z**5/5 - 151*z**4/2 + 452*z**3/3 - 3*z**2 + 32*z. Factor k(q).
-4*(q - 226)*(q - 1)**2
Let y(n) be the first derivative of n**5/5 - 8*n**4 - n**3 + 47*n**2 + 64*n - 2454. Let y(a) = 0. Calculate a.
-1, 2, 32
Let x(d) be the second derivative of 1/15*d**5 - 9/2*d**2 + 0 - 3*d**4 + 54*d**3 - 4*d. Let o(k) be the first derivative of x(k). Factor o(r).
4*(r - 9)**2
Let c(q) be the first derivative of 4*q**5/25 - 9*q**4/5 - 248*q**3/15 - 216*q**2/5 - 224*q/5 - 127. Let c(t) = 0. Calculate t.
-2, -1, 14
Let i = 15337 - 15335. Let d(q) be the first derivative of -5/16*q**i - 1/12*q**3 - 1/4*q - 3. Factor d(g).
-(g + 2)*(2*g + 1)/8
Let q(k) = 2*k**3 + k**2 + k + 3. Let l(g) = 8*g**3 + 59*g**2 + 7*g - 39. Let f(h) = -2*l(h) + 10*q(h). Determine p, given that f(p) = 0.
-1, 1, 27
Let 