+ 1/60*b**6 + 0*b**5 + 1/210*b**7 - 9*b + 0 + 0*b**4. Factor q(u).
-u**3*(u - 2)*(u + 1)
Let l(f) be the first derivative of 2*f**5/45 + f**4/6 + 4*f**3/27 - 83. Solve l(q) = 0 for q.
-2, -1, 0
Let y = 46 - 46. Factor -3*j**2 + 11*j**2 - 3*j - 4*j**3 - j + y*j.
-4*j*(j - 1)**2
Let n(u) be the third derivative of -2*u**6/5 + 241*u**5/15 - 610*u**4/3 + 200*u**3/3 - 2*u**2 + 198. Factor n(y).
-4*(y - 10)**2*(12*y - 1)
Let n = 210/121 - 1648/1089. Determine l, given that n*l**2 + 4/9*l + 0 = 0.
-2, 0
Let l(z) be the second derivative of -z**6/6 - 21*z**5/4 - 295*z**4/6 - 50*z**3 + 500*z**2 - 268*z. Factor l(n).
-5*(n - 1)*(n + 2)*(n + 10)**2
Let r = 6099/21371 + 1/3053. Factor -r*i + 0 + 8/7*i**2.
2*i*(4*i - 1)/7
Let y be 5*4/(-5 + 1). Let g(b) = b**3 + 7*b**2 + 9*b - 2. Let a be g(y). Factor 0*m - 2/5*m**a + 1/5*m**4 + 1/5*m**2 + 0.
m**2*(m - 1)**2/5
Let l(b) be the third derivative of 0*b**4 + b**2 + 0*b**3 + 1/315*b**7 + 0*b**5 + 0 + 1/180*b**6 + 0*b. Factor l(n).
2*n**3*(n + 1)/3
Let u = 94/41 + -200/123. Let q(m) be the first derivative of 10 + 23/5*m**5 - u*m**3 + 10/3*m**6 + 1/4*m**4 + 0*m + 0*m**2. Suppose q(z) = 0. What is z?
-1, -2/5, 0, 1/4
Suppose q + q = 8. Suppose q = -5*g + 19. Factor -5*i**4 + i**2 - 12*i**3 + 4*i**5 + i**4 + 8*i + g*i**2.
4*i*(i - 2)*(i - 1)*(i + 1)**2
Let h(g) = g**3 + 6*g**2 - 18*g - 12. Let a be -4*(-20)/16 + -13. Let f be h(a). Factor 0 + 0*y**2 + 2/13*y**f + 0*y**3 + 0*y.
2*y**4/13
Factor -40844*q**2 - 27783 - 195*q**4 - 13891*q - 4350*q**3 - 45644*q + 4934*q**2 - 3*q**5.
-3*(q + 1)**2*(q + 21)**3
Let v(u) = 3*u + 1. Let m be v(3). Let p be (m + -14)*5/(-4). Find d, given that 3*d**2 - d + 0*d**2 - p*d**2 - d**3 = 0.
-1, 0
Let g = 96/47 - 10366/5029. Let d = 97/535 - g. Let d*q**3 - 1/5*q - 1/5 + 1/5*q**2 = 0. Calculate q.
-1, 1
Let w(n) = 3*n**3 + 4*n**2 + 3*n + 2. Let s(t) = 4*t**3 + 3*t + 2 + 0*t + 161*t**2 - 156*t**2. Let p(m) = -4*s(m) + 5*w(m). What is r in p(r) = 0?
-1, 2
Let j(p) be the second derivative of -p**8/112 - p**7/168 + p**6/24 + p**5/24 - 8*p**3/3 - 10*p. Let g(q) be the second derivative of j(q). Factor g(v).
-5*v*(v - 1)*(v + 1)*(3*v + 1)
Suppose 1/9*f**4 + 0 + 17/3*f - 101/9*f**2 + 49/9*f**3 = 0. What is f?
-51, 0, 1
Factor 19*j**4 + 27*j - 756*j**3 - 3*j**4 - 115*j**2 - j**4 + 806*j**3 + 23*j.
5*j*(j - 1)*(j + 5)*(3*j - 2)
Let z(l) be the first derivative of 0*l**3 - 6/25*l**5 + 9/20*l**4 + 0*l - 26 + 0*l**2. Let z(q) = 0. What is q?
0, 3/2
Let a(h) be the first derivative of -h**6/165 + 2*h**5/55 - 19*h + 21. Let r(d) be the first derivative of a(d). Factor r(v).
-2*v**3*(v - 4)/11
Suppose 15 = 3*z - o + 10, 15 = -3*o. Let s(u) be the first derivative of 1/9*u**3 - 1/3*u**2 + 7 + 1/12*u**4 + z*u. Let s(r) = 0. Calculate r.
-2, 0, 1
Let g = 5 - -31. Suppose g - 42 = -2*n. Solve -n*t + 1/2*t**2 + 9/2 = 0.
3
Let k(b) be the first derivative of -b**6/42 + 13*b**5/35 - 55*b**4/28 + 25*b**3/7 - 390. Factor k(h).
-h**2*(h - 5)**2*(h - 3)/7
Let z = -2/2045 - -4096/6135. Factor 0 - z*k**2 + 0*k - 1/3*k**3 + 1/3*k**4.
k**2*(k - 2)*(k + 1)/3
Let w(p) = 5*p**2 + 87*p - 89. Let y(s) = 2*s**2 + 41*s - 45. Let v(n) = -6*w(n) + 14*y(n). Determine l, given that v(l) = 0.
2, 24
Let p = 393 - 12968/33. Let x(z) be the second derivative of 0 + 0*z**2 + p*z**3 + 1/66*z**4 + 8*z - 1/165*z**6 - 1/110*z**5. Determine c so that x(c) = 0.
-1, 0, 1
Let z(t) be the second derivative of 1/90*t**5 + 2/27*t**3 + 0 + 0*t**2 + 1/18*t**4 + 6*t. Factor z(j).
2*j*(j + 1)*(j + 2)/9
Let w = 245/6 + -1171/30. Let f(o) be the second derivative of 5*o + 0 + w*o**2 + 2/5*o**3 + 1/30*o**4. Let f(t) = 0. Calculate t.
-3
Let m(k) be the third derivative of k**7/11340 + 3*k**4/8 + 8*k**2. Let w(j) be the second derivative of m(j). Find d such that w(d) = 0.
0
Let a(q) = -6*q**5 - 4*q**4 + 21*q**3 + 52*q**2 + 40*q + 12. Let b(k) = k**5 + k**4 - k**2. Let m(p) = a(p) + 5*b(p). Factor m(w).
-(w - 6)*(w + 1)**3*(w + 2)
Let w(x) = 3*x**3 + 42*x**2 + 183*x + 213. Let q(y) = -35 + 548*y + 797 + 9*y**3 + 126*y**2 - 122. Let g(r) = 3*q(r) - 8*w(r). Factor g(h).
3*(h + 2)*(h + 6)**2
Factor -2455*c**2 - 135375*c + 1030*c**2 - 3031338 - 5*c**3 - 1255537.
-5*(c + 95)**3
Let q be 18/(-72) + 9/4. Find u such that 6*u + 9 - 23 - q*u**2 + 10 = 0.
1, 2
Let n(f) be the third derivative of f**8/672 + f**7/105 - f**5/12 - f**4/48 + f**3/2 - 7*f**2 - f. Solve n(x) = 0 for x.
-3, -2, -1, 1
Let p(l) = 5*l - 12. Let v be p(3). Let x(k) be the first derivative of 1/8*k**2 + 0*k**v + 0*k - 2 - 1/16*k**4. Solve x(h) = 0.
-1, 0, 1
Let l(r) be the second derivative of -1/30*r**6 - 10*r - 9/2*r**2 + 1/6*r**4 + 2*r**3 + 0 - 1/5*r**5. Let l(x) = 0. What is x?
-3, 1
Let t be 17/(85/40)*1/2. Let j(n) be the first derivative of -4*n + 8*n**2 - 8*n**3 + 4*n**t + 5 - 4/5*n**5. Find y such that j(y) = 0.
1
Let d(g) be the second derivative of g**6/1020 + g**5/170 + g**4/102 - g**2/2 + 11*g. Let v(x) be the first derivative of d(x). Factor v(s).
2*s*(s + 1)*(s + 2)/17
Suppose 0 = -4*n + 294 + 594. Let i = -219 + n. Suppose 5/2*c**i - c + 0 - 3/2*c**5 + 1/2*c**2 - 1/2*c**4 = 0. Calculate c.
-1, 0, 2/3, 1
Let p = -114 - -1143/10. Let t(j) be the first derivative of 3/5*j - 1/5*j**3 + p*j**2 - 3/20*j**4 - 9. Find u such that t(u) = 0.
-1, 1
Solve -11/5*i**3 + 1/5*i**4 - 5*i + 7*i**2 + 0 = 0 for i.
0, 1, 5
Let z(i) = -i + 4. Let k be z(7). Let u(v) = v**2 - 4. Let d be u(k). Solve -12*n**3 - 6*n**3 + 2*n**4 + 29*n**5 + 4*n**2 - 5*n**d = 0.
-1, 0, 1/4, 2/3
Let h = 516 + -516. Let i(q) be the first derivative of -2*q**2 + 2*q**3 + 0*q**4 + 3 + h*q - 2/5*q**5. Suppose i(j) = 0. What is j?
-2, 0, 1
Let q = -47 - -49. Factor -3*g**5 - 3*g**5 + q*g**5 + 4*g**3 + 4*g**4 - 4*g**2.
-4*g**2*(g - 1)**2*(g + 1)
Let c(t) be the first derivative of -1/3*t**2 + 1/3*t**3 + 0*t + 24. Suppose c(f) = 0. What is f?
0, 2/3
Let i(t) be the first derivative of -t**3/24 + 37*t**2/8 - 1369*t/8 + 227. Factor i(u).
-(u - 37)**2/8
Let y(r) = -r**5 - 9*r**4 + 20*r**3 + 30*r**2 - 70*r - 2. Let f(j) = -j**4 - j**3 + j**2 + j - 1. Let t(m) = 2*f(m) - y(m). Factor t(s).
s*(s - 2)**2*(s + 2)*(s + 9)
Suppose 27*q**2 + 6 - 43/2*q - 27/2*q**3 + 2*q**4 = 0. What is q?
3/4, 1, 4
Let v = -22 + 31. Let 5 + v - 4 + 0 + 45*i**2 - 65*i - 55*i**4 + 65*i**3 = 0. What is i?
-1, 2/11, 1
Factor 104*v + 4/7*v**2 - 732/7.
4*(v - 1)*(v + 183)/7
Let -2*g**2 + 24/7 - 16/7*g = 0. Calculate g.
-2, 6/7
Let g(a) = 8*a**4 + 5*a**3 - 5*a - 5. Let l(y) = -20*y**4 - 12*y**3 + 12*y + 12. Let r = 30 - 18. Let i(j) = r*g(j) + 5*l(j). Suppose i(n) = 0. What is n?
0
Let b(a) be the second derivative of a**5/50 + a**4/3 + 4*a**3/5 - 72*a**2/5 + a + 57. Determine z, given that b(z) = 0.
-6, 2
Let a be 1/((-15)/(-40))*(-6)/(-4). What is p in 21*p**3 + 12*p**2 - 17*p**3 + 14 - 26 - a*p = 0?
-3, -1, 1
Let g(o) = 2*o**2 - 97*o - 377. Let m(v) = -v**2 + 96*v + 381. Let n(t) = -6*g(t) - 7*m(t). Let n(c) = 0. Calculate c.
-9
Suppose 2*t + 4*t = 18. Determine z so that -11*z**t - 13*z**3 - 6*z**2 + 6 + 3*z + 21*z**3 = 0.
-2, -1, 1
Let d = -7321/286 + 333/22. Let x = -874/91 - d. What is a in x*a**3 + 4/7*a**2 + 1/7*a**5 + 1/7*a + 4/7*a**4 + 0 = 0?
-1, 0
Factor 296*i**2 + 56*i**2 + 5*i**4 - 130*i**3 + 493*i**2.
5*i**2*(i - 13)**2
Let z(t) be the first derivative of -9/4*t**2 - 52 - 1/2*t**3 - 3*t. Factor z(g).
-3*(g + 1)*(g + 2)/2
Let s = -90/79 - -349/237. Factor 0 - 2/3*f**2 + 2/3*f**4 - 1/3*f**3 + s*f**5 + 0*f.
f**2*(f - 1)*(f + 1)*(f + 2)/3
Let o(l) be the third derivative of 0*l - 10/9*l**3 + 4/9*l**5 + 0 + 3*l**2 - 7/180*l**6 - 23/36*l**4. Factor o(k).
-2*(k - 5)*(k - 1)*(7*k + 2)/3
Let s(n) be the second derivative of n**6/160 + n**5/20 + 5*n**4/32 + n**3/4 + 10*n**2 + 6*n. Let h(k) be the first derivative of s(k). Solve h(i) = 0 for i.
-2, -1
Let u = -51707 + 14426228/279. Let p = 11/31 - u. Determine n, given that -8/9*n**3 - 4/9*n**2 + 2/9 + p*n + 4/9*n**5 + 2/9*n**4 = 0.
-1, -1/2, 1
Let y(v) be the first derivative of -22 + 50/3*v**3 + 20*v**2 + 8*v. Factor y(s).
2*(5*s + 2)**2
Let h = -276 - -146. Let p = 394/3 + h. Suppose p - 4/3*w - 4/3*w**2 + 4/3*w**3 = 0. Calculate w.
-1, 1
Let l(f) be the second derivative of 0*f**5 + 1/8*f**4 - 1/40*f**6 - 3*f + 0 + 0*f**3 + 2*f**2. Let r(j) be the first derivative of l(j). Factor r(i).
-3*i*(