3)*(w + 26)/7
Let j(i) be the second derivative of -i**7/210 + i**6/25 - i**5/50 - 3*i**4/5 + 9*i**3/10 + 27*i**2/5 + 13*i + 5. Solve j(n) = 0 for n.
-2, -1, 3
Suppose -54*q - 28 = -61*q. Suppose 4*f = -4*z - q, 2*z - 17*f + 22*f = -14. Factor z - 9/2*i**2 - 3/2*i.
-3*(i + 1)*(3*i - 2)/2
Let l(s) be the second derivative of -s**4/12 + 2*s**2 + 279*s. Factor l(k).
-(k - 2)*(k + 2)
Let f(u) = 2*u**2 - 14*u - 8. Let g(b) = -3*b**2 + 27*b + 17. Suppose 15*c - 20*c = 35. Let q(s) = c*f(s) - 4*g(s). Solve q(t) = 0 for t.
-3, -2
Let d(f) = -5*f**2 + 30*f - 25. Let p(o) = -3*o**2 + 16*o - 13. Let y(v) = -4*d(v) + 7*p(v). Find g such that y(g) = 0.
-9, 1
Suppose 0 = -4*h - 2*y + 230 - 220, -2 = h - 4*y. Let w = -4 + 4. Factor w + 0*f**h - 3/5*f**3 + 0*f.
-3*f**3/5
Let y(l) = 2*l**2 - 28*l - 33. Let m be y(15). Let q be 0*(m/(-2) - 1). Factor -2/3*v**2 - 4/9*v + q.
-2*v*(3*v + 2)/9
Let n(w) = -17*w**4 + 59*w**3 + 63*w**2 - 64*w - 66. Let g(l) = -3*l**4 - l**3 - l**2. Let c(q) = 5*g(q) - n(q). Factor c(a).
2*(a - 33)*(a - 1)*(a + 1)**2
Let f(n) be the third derivative of -1/9*n**3 + 0*n - 1/6*n**4 + 0 + 7/90*n**5 - 25*n**2. Factor f(s).
2*(s - 1)*(7*s + 1)/3
Suppose 12/7*c - 6/7*c**2 + 16/7 - 2/7*c**3 = 0. What is c?
-4, -1, 2
Let w(b) = -3*b**4 - b**3 - 5*b**2 + b + 3. Let c(r) = -r**3 + r**2 + r. Let l be (12/(-4) - -5)/(-2). Let s(z) = l*w(z) - 5*c(z). Solve s(n) = 0 for n.
-1, 1
Let l = 6936 + -34676/5. What is m in 0 - 2*m**2 - 2/5*m**5 + 6/5*m**3 + 2/5*m**4 + l*m = 0?
-2, 0, 1
Let u be ((-4)/36)/(((-221)/6)/17 + 2). Factor -14/3*t**2 - 26/3*t + u*t**3 - 4 + 2/3*t**4.
2*(t - 3)*(t + 1)**2*(t + 2)/3
Let u(z) be the first derivative of 3*z**4/4 + 35*z**3 - 219*z**2/2 + 111*z + 23. Let u(s) = 0. What is s?
-37, 1
Factor 56*f - 4394 + 2*f**3 + 958*f - 432*f**2 + 354*f**2.
2*(f - 13)**3
Factor 624*n - 128 - 198*n**2 - 100*n**3 - 533*n**2 + 11*n**2.
-4*(n + 8)*(5*n - 2)**2
Let g(h) = h**2 - h - 2. Let j be 3*((-1)/(-1))/(-3)*1. Let c(k) = 8*k**2 - 30*k - 38. Let i(v) = j*c(v) + 10*g(v). Factor i(o).
2*(o + 1)*(o + 9)
Let s(d) = -2*d**3 - 16*d**2 + 14. Let a(y) = -y**2 + 1. Let i = 29 + -57. Let f(j) = i*a(j) + 2*s(j). Solve f(b) = 0.
-1, 0
Let c(h) = -11*h**3 + 63*h**2 - 226*h - 12. Let s(d) = -d**3 - 2*d**2 - d - 2. Let w(u) = c(u) - 6*s(u). Factor w(z).
-5*z*(z - 11)*(z - 4)
Let q(n) = n**2 + 8*n - 12. Let g be q(-7). Let k = 36 + g. Let -d**3 + 17*d - k*d - d**4 = 0. Calculate d.
-1, 0
Let p(z) be the third derivative of -z**7/4200 + z**6/900 + 5*z**3/3 + z**2. Let v(j) be the first derivative of p(j). Factor v(b).
-b**2*(b - 2)/5
Let z(i) be the third derivative of i**9/37800 - i**7/2100 + i**6/900 - 11*i**4/24 - i**2. Let g(t) be the second derivative of z(t). What is f in g(f) = 0?
-2, 0, 1
Let m(l) be the third derivative of -l**5/12 + 5*l**4 - 120*l**3 - 69*l**2. Factor m(t).
-5*(t - 12)**2
Let t(b) = b**3 + 14*b**2 + 14*b + 13. Let m be (-126)/10 - 20/50. Let x be t(m). Factor 8*f**3 + 4*f**2 + x*f - 2*f - 9*f**3 - f**2.
-f*(f - 2)*(f - 1)
Let g(a) = 68*a + 342. Let y be g(-5). Let -5/4*k**2 - 1/4*k**3 - y*k - 1 = 0. Calculate k.
-2, -1
Let v(q) be the second derivative of q**7/504 - q**6/48 + q**5/12 + 5*q**4/12 - 16*q. Let f(n) be the third derivative of v(n). Factor f(j).
5*(j - 2)*(j - 1)
Let x be 1/(-3 - (-13)/4). Let g be 3 + x + -4 - -2. Let c(v) = 25*v**2 + 2*v - 9. Let f(i) = 24*i**2 + 2*i - 10. Let a(p) = g*f(p) - 6*c(p). Factor a(u).
-2*(3*u - 1)*(5*u + 2)
Factor -21/4*x**2 - 1/4*x**3 + 10 - 9/2*x.
-(x - 1)*(x + 2)*(x + 20)/4
Let y = -39010/21 + 1856. Let j = 16/7 + y. Suppose 16/3*q**2 + 1/3*q - 7/3*q**5 - 34/3*q**3 + 26/3*q**4 - j = 0. Calculate q.
-2/7, 1
Let t(m) = 40 + 2*m + 4 - 68. Let o be t(14). Factor -8/5 + 6/5*p**2 + p**3 - 4/5*p + 1/5*p**o.
(p - 1)*(p + 2)**3/5
Let n(o) be the third derivative of o**6/60 - o**5/6 - o**4/6 + o**3 - 2*o**2. Let f(c) = c**3 + c**2 + 1. Let q(w) = 2*f(w) + n(w). Factor q(h).
4*(h - 2)*(h - 1)*(h + 1)
Let u(d) be the third derivative of -7*d**6/240 - 13*d**5/60 + 43*d**4/48 - 5*d**3/6 - 41*d**2 + 1. Factor u(w).
-(w - 1)*(w + 5)*(7*w - 2)/2
Suppose 0 = 2*b + 5*r + 1, 0 = 5*b - 5*r + 93 - 108. Factor 0 + 1/5*q**b + 2/5*q - 2/5*q**3 - 1/5*q**4.
-q*(q - 1)*(q + 1)*(q + 2)/5
Let s(u) be the first derivative of 2*u**3/3 + u**2/2 - u - 69. Determine a so that s(a) = 0.
-1, 1/2
Determine y, given that 378/5*y**3 - 16/5 - 376/15*y - 156/5*y**2 = 0.
-2/9, 6/7
Let o = 239 - 155. Let r be ((-54)/o)/((-3)/(21/2)). Factor -9/4*w**3 + r*w**2 + 3/2*w - 21/4*w**4 - 9/4*w**5 + 0.
-3*w*(w + 1)**3*(3*w - 2)/4
Let u(g) be the first derivative of -543/20*g**4 - 1 - 49/30*g**6 + 49/15*g**3 + 96/5*g**2 + 63/5*g**5 + 36/5*g. Find l such that u(l) = 0.
-2/7, 1, 3
Let q(f) be the third derivative of -f**6/1380 + 31*f**5/345 - 961*f**4/276 + 2*f**2 - 44*f. Factor q(l).
-2*l*(l - 31)**2/23
Let i(f) be the first derivative of -f**6/14 + 27*f**5/35 - 6*f**4/7 - 128*f**3/7 + 576*f**2/7 - 768*f/7 - 75. Determine r, given that i(r) = 0.
-4, 1, 4
Suppose 2 + 10 = -s + 3*p, 12 = 4*s + 3*p. Let t(k) be the second derivative of k + k**2 - 1/6*k**4 + s + 0*k**3. Suppose t(b) = 0. Calculate b.
-1, 1
Let n(c) = 2*c**2 + 6*c - 3. Let g(o) = 9*o**2 + 23*o - 13. Let z(x) = 6*g(x) - 26*n(x). Let z(q) = 0. What is q?
0, 9
Let o(k) be the first derivative of 1/4*k**4 + 1/3*k**3 + 1/2*k + 1/12*k**6 - 3/4*k**2 + 11 - 3/10*k**5. Factor o(m).
(m - 1)**4*(m + 1)/2
Find d, given that -2/7*d**2 - 192/7*d - 190/7 = 0.
-95, -1
Let z(n) = n**2 - 7*n + 2. Let p be z(7). Suppose -2394*g**2 - 2*g**4 - 4*g**3 - 4*g**3 + 2388*g**p = 0. Calculate g.
-3, -1, 0
Let m(j) be the first derivative of -j**4/24 + 4*j**3/9 - 5*j**2/12 - 25*j/3 + 146. Suppose m(t) = 0. Calculate t.
-2, 5
Let t(b) be the third derivative of b**6/200 + 7*b**5/50 + 49*b**4/40 - 318*b**2. Factor t(x).
3*x*(x + 7)**2/5
Let k(a) be the third derivative of -7/24*a**6 + 0 + 7*a**2 + 2/3*a**5 + 5/6*a**4 + 0*a**3 + 0*a - 5/42*a**7. Find l, given that k(l) = 0.
-2, -2/5, 0, 1
Let z(k) be the third derivative of -k**8/5880 + k**7/980 - k**6/420 + k**5/420 + 11*k**3/2 - 3*k**2. Let b(v) be the first derivative of z(v). Factor b(o).
-2*o*(o - 1)**3/7
Let s(z) be the second derivative of z**6/30 + 47*z**5/20 - z**4/4 - 143*z**3/6 - 47*z**2 + 507*z. Let s(f) = 0. Calculate f.
-47, -1, 2
Determine v, given that -2*v**2 - 2*v**2 + 5*v**2 - v + 3*v + v**2 = 0.
-1, 0
Let w(d) = 3*d**2 - 30*d + 29. Let m(t) = 3*t**2 - 30*t + 30. Let y(a) = 2*m(a) - 3*w(a). Let y(h) = 0. Calculate h.
1, 9
Suppose -3*l = 3*y - 39, -3*l - y = -14 - 31. Let g = l + -16. Factor -q**2 + 8*q - q - 3 - 2*q + g*q - q**3.
-(q - 1)**2*(q + 3)
What is r in 64/17*r - 24/17 - 46/17*r**2 + 10/17*r**3 = 0?
3/5, 2
Let r(q) = -q**3 - q**2 + 33*q - 15. Let u be r(5). Factor 27/7*s**2 - 6/7*s + 33/7*s**4 + u - 9/7*s**5 - 45/7*s**3.
-3*s*(s - 1)**3*(3*s - 2)/7
Let t(i) = -2*i**2 + 38*i - 172. Let w be t(8). Factor 3/2*j**w + 0 + 0*j - 3/2*j**3 + 0*j**2.
3*j**3*(j - 1)/2
Let f = -1132 - -1134. Suppose 2/3*b**f - 4/15*b - 8/15*b**3 + 0 + 2/15*b**4 = 0. Calculate b.
0, 1, 2
Let d(w) = 8 - 23*w + 80*w - 25*w - 31*w. Let z be d(-5). Determine a so that a**4 - 4/3*a**2 + 4/3*a + 6*a**5 - 22/3*a**z + 1/3 = 0.
-1, -1/3, 1/2, 1
Factor -2/5*i + 1/10*i**3 + 3/10*i**2 + 0.
i*(i - 1)*(i + 4)/10
Let j be 20/2 - (73080/(-255))/(-29). Let 4/17*m**2 + 2/17*m**5 - j*m + 0*m**3 - 4/17*m**4 + 0 = 0. Calculate m.
-1, 0, 1
Suppose 3*d - 12/5*d**5 + 21/5*d**2 - 24/5*d**4 - 3/5*d**3 + 3/5 = 0. What is d?
-1, -1/2, 1
Let r = -430/61 + 1781/244. Find p such that -1/4*p + 1/2*p**3 - 1/2*p**2 - 1/4*p**5 + r + 1/4*p**4 = 0.
-1, 1
Find v such that -48*v**4 + 15*v**3 + 27*v**5 + 0 - 3 + 236*v**2 - 230*v**2 + 3 = 0.
-2/9, 0, 1
Let r = -40 + 43. Suppose 0 = -7*f + r*f + 12. Factor 0 + 0*l + 2/3*l**2 - 2/3*l**4 + 0*l**f.
-2*l**2*(l - 1)*(l + 1)/3
Let j(g) be the first derivative of -g**8/2520 + g**7/315 - 16*g**3/3 - 27. Let n(w) be the third derivative of j(w). Determine d, given that n(d) = 0.
0, 4
Find b such that 2*b + 14*b + 4*b**5 + 52*b**2 + 24*b**4 - 4*b**2 + 52*b**3 + 0*b = 0.
-2, -1, 0
Let o = 63 - 33. Suppose -d + 1 - 15 = -5*v, o = 5*v - 5*d. Factor 0 + 6/5*p - 3/5*p**3 + 3/5*p**v.
-3*p*(p - 2)*(p + 1)/5
Let g be (15*(-2)/(-12))/((-2)/(-8)). Let z(w) be the