4*f - 3)
Let p(d) be the third derivative of d**7/5040 - d**6/480 - d**5/60 - 5*d**4/4 + 63*d**2. Let h(v) be the second derivative of p(v). Factor h(i).
(i - 4)*(i + 1)/2
Suppose -30*t + 28 = -58*t. Let v be t + 3 - 135/(-6). Factor 7*d + 1/2*d**2 + v.
(d + 7)**2/2
Let x(q) be the first derivative of q**2/2 - q + 78. Let l be 10 + 6/3 + -2. Let h(j) = j**2 + 12*j + 51. Let p(t) = l*x(t) + 5*h(t). Factor p(c).
5*(c + 7)**2
Let w(h) = -h**3 - 60*h**2 - 3*h - 177. Let v be w(-60). Let f(p) be the first derivative of -19 - 2/5*p + 0*p**2 + 2/15*p**v. Factor f(q).
2*(q - 1)*(q + 1)/5
Let x(p) be the first derivative of p**5/20 + p**4/2 + 2*p**3 + 11*p**2 - 44. Let o(s) be the second derivative of x(s). Let o(l) = 0. Calculate l.
-2
Suppose 0 = -3*n + l + 25, -2*n = -0*l + 2*l - 6. Factor 21 - 96*i - 108*i - n + 2*i**2 + 230*i + 30.
2*(i + 2)*(i + 11)
Factor 1/2*i**4 + 230*i**3 - 230*i - 26450 + 52899/2*i**2.
(i - 1)*(i + 1)*(i + 230)**2/2
Let k(m) be the third derivative of m**8/336 - m**7/21 + 9*m**6/40 - 7*m**5/30 - 7*m**4/6 + 4*m**3 + 6*m**2 + 2*m + 82. Find o such that k(o) = 0.
-1, 1, 2, 6
Let s(z) be the third derivative of -9*z**8/784 - 2*z**7/5 - 67*z**6/40 + 57*z**5/70 + 394*z**2. Let s(h) = 0. Calculate h.
-19, -3, 0, 2/9
Let m(p) be the third derivative of -p**5/10 - 3*p**4/4 - 16*p**3/3 - 53*p**2. Let g(i) = -10*i**2 - 35*i - 65. Let u(l) = -4*g(l) + 7*m(l). Factor u(x).
-2*(x - 9)*(x + 2)
Factor 77*z + 0 - 131/3*z**2 - 1/3*z**4 + 7*z**3.
-z*(z - 11)*(z - 7)*(z - 3)/3
Suppose 5*b - 8 = b. Let h be (-16)/(-112) - (-13)/7. What is n in -9*n + b + 13*n**2 - 21*n**h + 9*n = 0?
-1/2, 1/2
Suppose -3*t - 47 = 5*h, t = -3*h - 11 - 10. Let d(r) = 4*r + 39. Let b be d(t). Factor 58*j**2 - 5*j**4 + 25*j - b - 43*j**2 - 5*j**3 + 13.
-5*(j - 2)*(j + 1)**3
Let d be 210/(-28)*(-3 - (-188)/20). Let k = -46 - d. Factor 0*q**k + 0*q + 0 - 9/2*q**3 + 3*q**4 - 1/2*q**5.
-q**3*(q - 3)**2/2
Let i(s) = s**3 - 10*s**2 + 11*s - 16. Suppose -7*m = -52 - 11. Let h be i(m). Solve -8 - 18*q - q - 12*q**h - q + 0*q = 0 for q.
-1, -2/3
Let d(m) = -21*m**3 - 46*m**2 + 209*m + 90. Let g(n) = -4*n**3 - 9*n**2 + 41*n + 18. Let i(l) = 2*d(l) - 11*g(l). Factor i(a).
(a - 3)*(a + 6)*(2*a + 1)
Let p(l) be the third derivative of -l**7/35 + l**6/40 + l**5/4 - l**4/8 - 3*l**3/2 + 1937*l**2. Find c, given that p(c) = 0.
-1, 1, 3/2
Let t = -6043 - -6046. Factor -t*c**2 - 3/2*c**3 - 3/2*c + 0.
-3*c*(c + 1)**2/2
Let u = -52071 - -52071. Let i(p) = -p**2 - 6*p + 3. Let z be i(-6). Determine w so that 0*w + u - 5/3*w**2 + 5*w**5 + 5/3*w**z + 25/3*w**4 = 0.
-1, 0, 1/3
Find y, given that 1/3*y**5 + 73/3*y**4 + 0*y + 432*y**2 + 0 + 456*y**3 = 0.
-36, -1, 0
Let q(a) be the first derivative of 2*a**3/27 - 286*a**2/9 + 40898*a/9 - 12692. Factor q(j).
2*(j - 143)**2/9
Suppose 18 - 15 = -p. Let h(t) = t**2 - 90*t - 402. Let q(x) = 5*x**2 - 270*x - 1205. Let j(u) = p*q(u) + 10*h(u). Determine a, given that j(a) = 0.
-9
Let d(v) = 5*v**4 + 3485*v**3 - 5*v**2 - 3460*v + 50. Let o(y) = -y**4 - 581*y**3 + y**2 + 577*y - 8. Let l(u) = 4*d(u) + 25*o(u). Factor l(i).
-5*i*(i - 1)*(i + 1)*(i + 117)
Suppose -48*y**2 - 64*y + 15/2*y**4 + 0 + 1/2*y**5 + 23*y**3 = 0. What is y?
-8, -1, 0, 2
Let b(p) = 615*p**2 - 4*p - 8. Let i be b(-1). Let c = i + -2435/4. Let -27/8 + 27/8*a - 1/8*a**5 - 13/4*a**3 + c*a**2 + 9/8*a**4 = 0. What is a?
-1, 1, 3
Let j = -2 - -4. Let m be ((-1776)/(-378) - 3) + (-96)/(-216). Factor m*n**3 + 9/7*n**j + 12/7 - 36/7*n.
3*(n - 1)*(n + 2)*(5*n - 2)/7
Let m be 27 - (2*(7/(-4) - 0))/(3/(-6)). Factor -4/3*k**3 + m*k**2 - 324 - 36*k.
-4*(k - 9)**2*(k + 3)/3
Let r(f) be the first derivative of f**3/5 - 1314*f**2/5 + 575532*f/5 + 6692. Determine a so that r(a) = 0.
438
Suppose 0 = 3*b - 5046 + 5088. Let c be 91/(-182) + (-17)/b. Factor -27/7*g - c*g**2 - 10/7.
-(g + 5)*(5*g + 2)/7
Let t(b) be the third derivative of b**6/1980 + b**5/11 + 75*b**4/11 - 22*b**3 + 62*b**2. Let g(n) be the first derivative of t(n). Factor g(m).
2*(m + 30)**2/11
Factor -25/4*s**5 - 2835/2*s**4 - 12769*s - 64071*s**2 - 323749/4*s**3 + 0.
-s*(s + 113)**2*(5*s + 2)**2/4
Solve 5 - 391345*i - i**2 + 391494*i + 145 = 0 for i.
-1, 150
Let w(c) be the second derivative of c**5/20 - 97*c**4/12 - 49*c**3/3 - 1898*c. Factor w(d).
d*(d - 98)*(d + 1)
Let u = -12 - -14. Let r be -5*-2*u/4. Factor 3*g**r + 45*g**3 + 3*g**4 - 48*g**3 - 3*g**2 + 0*g**4.
3*g**2*(g - 1)*(g + 1)**2
Solve 24 + 142*y + 4*y**2 + 41 - 210 - 551 + 198*y = 0.
-87, 2
Factor -240 - 5/2*i**2 - 601*i.
-(i + 240)*(5*i + 2)/2
Let 361*n - 393*n + 64*n**2 + 1137 - 271*n + 4*n**3 + 263 - 541*n = 0. Calculate n.
-25, 2, 7
Suppose 11*p = 1 + 43. Solve r - 3*r**4 - 4*r**3 - r**p - 32 - r**4 + 15*r + 24*r**2 + r**4 = 0 for r.
-2, 1, 2
Let v(p) be the second derivative of -p**6/10 - 273*p**5/20 - 2115*p**4/4 - 2025*p**3/2 - 854*p + 2. Factor v(o).
-3*o*(o + 1)*(o + 45)**2
Suppose -3*o - 17 = 5*f - 6*f, -f + 2*o + 12 = 0. Let m be (42/8)/(165/88). What is d in 4/5 + m*d**f - 18/5*d = 0?
2/7, 1
Let b(z) be the first derivative of 265 + 0*z + 6*z**3 + 3/4*z**4 + 27/2*z**2. Factor b(y).
3*y*(y + 3)**2
Let y(t) be the second derivative of -t**8/168 - t**7/168 + t**6/72 - 85*t**3/6 - 26*t - 1. Let j(m) be the second derivative of y(m). Factor j(u).
-5*u**2*(u + 1)*(2*u - 1)
Let m(f) = -6*f**3 + 12*f**2 - 3*f - 3. Let r be m(1). Let u(d) be the second derivative of -3/80*d**5 + 1/8*d**3 + 3/4*d**2 - 5*d - 1/8*d**4 + r. Factor u(h).
-3*(h - 1)*(h + 1)*(h + 2)/4
Let x(w) be the first derivative of 1/10*w**4 + 676/5*w**2 - 188 + 0*w - 104/15*w**3. Factor x(b).
2*b*(b - 26)**2/5
Let o(p) = 24*p - 337. Let d be o(-30). Let j be ((-4)/14)/(604/d). Solve 1/2*l**4 + 1/2*l**5 - 3/2*l**3 + l - j*l**2 + 0 = 0.
-2, -1, 0, 1
Suppose 4*q = -20, 4*i - 4*q - 137 = 271. Suppose 131*x = i*x. Factor x*z + 0 - 3/2*z**2 + 3/2*z**3.
3*z**2*(z - 1)/2
Let w(s) = -58*s**4 - 232*s**3 - 740*s**2 - 488*s + 6. Let o(q) = 10*q**4 - q**3 + 2*q**2 - 1. Let c(d) = 6*o(d) + w(d). Factor c(x).
2*x*(x - 122)*(x + 1)*(x + 2)
Factor 29/8*l**3 + 0 - 1/8*l**4 - 13*l**2 + 25/2*l.
-l*(l - 25)*(l - 2)**2/8
Let s(g) be the first derivative of g**6/30 + g**5 + 223*g**4/20 + 823*g**3/15 + 536*g**2/5 + 448*g/5 + 379. Determine t, given that s(t) = 0.
-8, -7, -1
Let q = -3243 + 3243. Let a(v) be the second derivative of 10*v + 1/10*v**4 + 0 + q*v**2 + 1/50*v**5 + 2/15*v**3. Suppose a(z) = 0. What is z?
-2, -1, 0
Let x(i) be the first derivative of i**9/27216 - i**8/3780 + i**7/1512 - i**6/1620 - i**3/3 - 3*i + 40. Let v(l) be the third derivative of x(l). Factor v(h).
h**2*(h - 2)*(h - 1)**2/9
Let p(n) be the second derivative of n**4/48 + 235*n**3/12 + 1501*n + 2. Suppose p(y) = 0. What is y?
-470, 0
Suppose 46*p**4 + 31*p**3 + 12*p**2 - 59*p**3 + 36*p**3 - 206*p**4 = 0. What is p?
-1/4, 0, 3/10
Let d(y) be the first derivative of 4 - 1/11*y**2 + 1/22*y**4 - 4/33*y**3 + 4/11*y. Factor d(g).
2*(g - 2)*(g - 1)*(g + 1)/11
Let f be 56/(-32)*8/(-7). Let z(q) be the third derivative of 0 - 5/6*q**3 - 5/12*q**4 + 0*q - 1/12*q**5 - 5*q**f. Factor z(p).
-5*(p + 1)**2
Let h be (-5)/10*(2 - 8). Factor -4*l**5 - 268*l**4 + 9*l**h + 7*l**5 + 256*l**4.
3*l**3*(l - 3)*(l - 1)
Let t(s) = 41*s**3 + 69*s**2 + 450*s + 12. Let x(o) = 212*o**3 + 345*o**2 + 2250*o + 62. Let l(c) = 31*t(c) - 6*x(c). What is i in l(i) = 0?
-6, 0, 75
Factor 1344 + 4800/7*y + 636/7*y**2 + 6/7*y**3.
6*(y + 4)**2*(y + 98)/7
Let b(q) = 7*q**3 - 115*q**2 - 134*q + 248. Let h(t) = -30*t**3 + 456*t**2 + 537*t - 990. Let m(u) = 9*b(u) + 2*h(u). What is l in m(l) = 0?
-2, 1, 42
Let s = 547 + -538. Suppose 0 = -4*x + 10*x - s*x. Solve x - 4/5*v**3 + 16/5*v**2 - 16/5*v = 0.
0, 2
Let -720*c**2 + 2152/3*c - 4/3*c**4 - 716/3 + 728/3*c**3 = 0. What is c?
1, 179
Find q, given that -5/7*q**3 - 159/7*q**2 + 368/7*q - 204/7 = 0.
-34, 1, 6/5
Let n be 69/(-161)*1561/(-2). Let t = n - 333. Let 0*l - 6 + t*l**3 + 9/2*l**2 = 0. Calculate l.
-2, 1
Let z(w) be the second derivative of -w**7/42 - 3*w**6/5 - 3*w**5/4 + 17*w**4/6 - 504*w. Determine h, given that z(h) = 0.
-17, -2, 0, 1
Let q(c) be the first derivative of 2*c**6/3 - 152*c**5/5 + 174*c**4 - 1216*c**3/3 + 466*c**2 - 264*c - 2461. Determine k, given that q(k) = 0.
1, 2, 33
Factor 0 + 26/3*s**3 - 65/3*s**2 - 14/3*s + 