. Factor n(a).
-3*(a - 53)*(a - 7)
Let o be (160/(-30) - -8)*(-3)/(-4). Let a(n) be the first derivative of 0*n + o + 2/3*n**3 - 3/4*n**4 + 1/2*n**2. Factor a(z).
-z*(z - 1)*(3*z + 1)
Let t(a) be the second derivative of -5*a**6/8 + 71*a**5/12 + 5*a**4 - 50*a**3/3 + 137*a**2/2 - 127*a. Let l(k) be the first derivative of t(k). Factor l(m).
-5*(m - 5)*(3*m + 2)*(5*m - 2)
Let o(p) be the second derivative of -p**8/224 + p**6/10 - p**4 - 5*p**2/2 + 2*p + 26. Let f(m) be the first derivative of o(m). Solve f(x) = 0 for x.
-2, 0, 2
Let a be (-447)/513*-3 - 841/(-15979). Solve -2/3*t**5 - 4/3*t**2 + a*t**3 + 4/3*t**4 + 0 - 2*t = 0.
-1, 0, 1, 3
Suppose 1142*g - 1137*g = 5*i - 55, 3*i = -3*g + 21. Factor 27/2 + i*m + 3/2*m**2.
3*(m + 3)**2/2
Let q(w) be the second derivative of 3/16*w**5 + 0*w**2 + 0 + 57/16*w**4 + 11/4*w**3 - 249*w. Let q(a) = 0. Calculate a.
-11, -2/5, 0
Let p = -2669 - -2673. Let c(s) be the first derivative of -4/15*s - 1/30*s**p + 3 - 8/45*s**3 - 1/3*s**2. Factor c(g).
-2*(g + 1)**2*(g + 2)/15
Let u be 3/6 + 65/(-10). Let a(s) = 5*s**2 + 18*s - 15. Let p(g) = g**2 + 2*g - 1. Let d(h) = u*p(h) + a(h). What is f in d(f) = 0?
3
Find a such that 0*a**4 + 0*a + 3*a**3 - 1/3*a**5 + 0*a**2 + 0 = 0.
-3, 0, 3
Let a(w) = 13*w - 86. Let d be a(9). Factor -58*u - 40 - d*u**2 + 35*u**2 + 22*u.
4*(u - 10)*(u + 1)
Suppose v + 5*v = v. Suppose -5*x + v*x + 20 = 0. Determine i so that -10*i**3 + 40*i - 18 + 5*i**x + 38 - 40 - 15*i**2 = 0.
-2, 1, 2
Factor -220*n**2 + 0*n**3 + 2*n**3 + 56*n - 35*n**2 + 178*n + 19*n**2.
2*n*(n - 117)*(n - 1)
Let q be (-88)/10 - (-65)/(-325). Let t = -33/4 - q. Suppose -9/4*s**4 - 3/2*s**3 + 3/4 + 9/4*s + 3/2*s**2 - t*s**5 = 0. Calculate s.
-1, 1
Suppose 27*x - 16714 = 24758. Let i = x - 1536. Solve 27*b**4 + 27/4*b**5 - 12*b + 52*b**2 - 72*b**3 + i = 0.
-6, 0, 2/3
Suppose 561*d - 129*d = 0. Factor 2/5*i + d - 2/5*i**4 - 6/5*i**2 + 6/5*i**3.
-2*i*(i - 1)**3/5
Let t(u) be the third derivative of -37*u**2 + 0*u + 2/15*u**5 + 1/30*u**6 + 0 - 1/6*u**4 - 4/3*u**3. Factor t(o).
4*(o - 1)*(o + 1)*(o + 2)
Let p be (-3)/(-8) + 110/(-80). Let q(z) = -3*z**3 + 17*z**2 - 12*z - 2. Let w(d) = d**3 + d**2 - 2. Let i(s) = p*q(s) + w(s). Factor i(o).
4*o*(o - 3)*(o - 1)
Let n(v) be the first derivative of 1/4*v**3 + 9/32*v**4 + 0*v**2 - 3/20*v**5 + 219 + 0*v. Determine h, given that n(h) = 0.
-1/2, 0, 2
Find y, given that 967 + 4*y**2 + 988*y - 159 - 3396*y + 787 + 3205 = 0.
2, 600
Let r = -97353/91 - -13915/13. Factor 2/7*t**5 - 10/7*t**2 + 2/7*t**4 + 0 - r*t - 6/7*t**3.
2*t*(t - 2)*(t + 1)**3/7
Let h(z) be the first derivative of 15*z**4/8 + 121*z**3/8 + 279*z**2/8 + 27*z/8 - 6896. Factor h(s).
3*(s + 3)**2*(20*s + 1)/8
Let k = -471323 + 472073. Find h, given that 525/2*h**2 - 33/2*h**4 - k*h + 3/2*h**5 + 0 + 45/2*h**3 = 0.
-4, 0, 5
Let w be 0 + 1 + 24 + -27 + 7. Suppose m + 3*p - w*p = 5, 5*m + 3*p - 12 = 0. Factor 0 + 2/13*z**4 - 2/13*z**2 + 2/13*z - 2/13*z**m.
2*z*(z - 1)**2*(z + 1)/13
Suppose 0*h + 0 + 128*h**2 - 2/5*h**4 - 152/5*h**3 = 0. Calculate h.
-80, 0, 4
Let r(u) be the first derivative of -81*u**5/10 - 3141*u**4/4 + 7882*u**3/3 - 1518*u**2 + 320*u + 2775. Determine i so that r(i) = 0.
-80, 2/9, 2
Suppose 4*r + 2*n = 16, 0 = -0*r - r - 5*n + 4. Let x = -549 - -552. Factor -49*c**2 - 4*c**r - 4*c**2 - 24*c**x - 16 + c**2 - 48*c.
-4*(c + 1)**2*(c + 2)**2
Suppose z = 5*b - 11, -2*b + z = -4*b + 10. Suppose 2*v = 5*r - v - 8, -r + b*v - 8 = 0. Factor 0 + 2/17*i - 2/17*i**2 - 2/17*i**3 + 2/17*i**r.
2*i*(i - 1)**2*(i + 1)/17
Let m(i) be the third derivative of i**6/240 - 17*i**5/72 + 7*i**4/36 + 6*i**2 + 125*i. Factor m(j).
j*(j - 28)*(3*j - 1)/6
Determine a, given that -168 + 2*a**3 + 109*a**2 + 494*a - 1454 - 83 - 39*a**2 - 461 = 0.
-19, 3
Factor -1392*k**2 - 116820*k - 259*k**3 + 45306 + 320*k**3 + 706590 - 65*k**3.
-4*(k - 6)*(k + 177)**2
Let r(w) be the second derivative of 3*w**5/20 - 7*w**4/5 - 11*w**3/10 + 39*w**2 - 855*w + 2. Factor r(k).
3*(k - 5)*(k + 2)*(5*k - 13)/5
Let g(c) be the third derivative of 1/270*c**5 + 0*c + 142*c**2 + 0 + 121/27*c**3 + 11/54*c**4. Let g(h) = 0. What is h?
-11
Suppose 538756/9 - 179096/3*t - 1/9*t**3 - 163*t**2 = 0. What is t?
-734, 1
Suppose 1889 = 4*x + 565. Let j = x + -329. Factor -1/9*k**3 + 1/9*k + 2/9*k**j - 2/9.
-(k - 2)*(k - 1)*(k + 1)/9
Let w(q) be the first derivative of -q**7/42 + q**6/15 + q**5/10 - q**4/3 - q**3/6 + q**2 - 71*q + 107. Let b(y) be the first derivative of w(y). Factor b(d).
-(d - 2)*(d - 1)**2*(d + 1)**2
Let o be (785*18/675 - 20)*(-30)/(-63). Solve 0*d - 2/9*d**2 - o*d**3 - 2/9*d**4 + 0 = 0.
-1, 0
Let b be ((-38)/(-57))/((-1)/((-27)/(-6))). Let d be b + 631/99 - (-18)/99. Let -5/9*u**3 + d*u + 4/3 + 1/3*u**2 = 0. What is u?
-2, -2/5, 3
Let b = 1054821/2 - 527400. Find l such that -b*l - 441/4 - 1/4*l**2 = 0.
-21
Suppose -3 = -v - 5, 4*v - 4885 = -3*j. Let p = -1629 + j. Find x such that 3*x**3 + 0*x + 0 + 6/7*x**p + 15/7*x**4 = 0.
-1, -2/5, 0
Let t be 2/(-4) - (-2)/4. Suppose 5*r + 20 = -21*k + 26*k, -4*k = -r - 4. Let 0*y**2 + 0 + k*y**3 + t*y**4 - 2/5*y**5 + 0*y = 0. What is y?
0
Let f(n) = 2*n**4 + n**3 + 2*n**2 - 2. Let r(a) = -26*a**4 - 160*a**3 + a**2 + 18. Let m(z) = -36*f(z) - 4*r(z). Factor m(k).
4*k**2*(k + 19)*(8*k - 1)
Let s(d) be the third derivative of d**5/30 + 19*d**4/4 + 54*d**3 - 2028*d**2. Let s(y) = 0. What is y?
-54, -3
Let j(q) = -q**3 - 7*q**2 - 13*q - 20. Let l be j(-5). Let w be (7 - (-29)/l) + (-36)/30. Solve -4/3*z**4 - 1/3*z**5 + 4/3*z + 4/3*z**2 + w - z**3 = 0.
-2, -1, 0, 1
Let x(u) be the second derivative of -u**3 - 1/10*u**5 - 2/3*u**4 + 0*u**2 + 0 + 38*u. Factor x(o).
-2*o*(o + 1)*(o + 3)
Let g be (7150/(-195) + 37)/((-6)/(-171)). Determine a, given that g*a + 1/4*a**2 + 361/4 = 0.
-19
Let o(l) = 2*l + 159. Let x be o(-36). Factor 44*k**2 + x*k - 98*k**2 + 57*k**2 - 90.
3*(k - 1)*(k + 30)
Let q(m) = 1 + 9 + 4 + m. Let l be q(10). Factor -499*y - 270*y**2 + 180*y**3 - 36*y**4 + 5*y**5 - l*y**4 + 10*y**4 + 634*y.
5*y*(y - 3)**3*(y - 1)
Let g be (1/2*2)/(32 + -33). Let s be 126/(-147)*g/6. Let 0*w + 1/7 - s*w**2 = 0. Calculate w.
-1, 1
Let q be (0 + (-81)/(-285))*1. Let y = q - -6/19. Factor -15 - y*u**2 - 6*u.
-3*(u + 5)**2/5
Let u(n) = -20*n - 79. Let k be u(-39). Suppose -k*m = -688*m - 39. What is i in -3/5*i - 3*i**m + 6/5*i**4 + 0 + 12/5*i**2 = 0?
0, 1/2, 1
Let v(q) be the first derivative of -q**5/140 - 28*q + 72. Let h(w) be the first derivative of v(w). Factor h(f).
-f**3/7
Let b = -45 - -48. Find u, given that 5*u**4 - 5*u**5 - 13*u**2 + 8*u**2 + 11*u**b + u**3 + 3*u**3 - 10*u = 0.
-1, 0, 1, 2
Let t(u) = 9*u**2 + 28*u - 125. Let g(o) = -11*o**2 - 30*o + 125. Let v(j) = 4*g(j) + 5*t(j). Factor v(w).
(w - 5)*(w + 25)
Let m(c) be the third derivative of -4/9*c**3 + 1/180*c**5 - 1/36*c**4 + 0*c + 45 + c**2. Let m(n) = 0. What is n?
-2, 4
Let f(a) be the first derivative of 8*a**3/3 + 531*a**2/2 + 198*a + 1698. Factor f(t).
(t + 66)*(8*t + 3)
Let m = -598 + 604. Let s(i) = 6*i**3 + 26*i**2 + 137*i + 97. Let n(l) = -3*l**3 - 12*l**2 - 69*l - 48. Let b(k) = m*s(k) + 11*n(k). Solve b(y) = 0.
-3, -2
Let g be -8 + (1510 - (12 + -7)). Factor -60*s**3 + 1494*s**4 - 390*s + g*s**4 - 295*s**2 - 160 - 2986*s**4.
5*(s - 16)*(s + 1)**2*(s + 2)
Let z(s) be the first derivative of -392*s - 1/6*s**3 - 56 + 14*s**2. Find c, given that z(c) = 0.
28
Let m(t) be the first derivative of -t**4/4 + 14*t**3/3 + 6*t**2 + 49*t + 150. Let o be m(15). Solve -3/8*w**3 + 3/4*w**o + 3/8*w + 3/8 - 9/8*w**2 = 0.
-1, -1/2, 1
Suppose -2*d - 30 = -5*w, 12*w + 4*d = 13*w - 24. Solve -45 - 66*t**4 + 210*t**3 + 5*t**w + 185*t - 211*t**2 - 139*t**2 - 4*t**4 + 60*t**2 + 5*t**5 = 0 for t.
1, 9
Let n(z) = 2*z**3 - 2*z**2 - 2*z + 1. Let v(q) = -33*q**3 + 20*q**2 - 3*q - 40. Let l(u) = 80*n(u) + 5*v(u). Find p, given that l(p) = 0.
-8, -3, -1
Let k = 47143 + -47143. Factor -10/7*a + 2/7*a**2 + k.
2*a*(a - 5)/7
Let q(b) be the first derivative of 1/24*b**4 + 28*b + b**2 + 1/3*b**3 - 31. Let v(x) be the first derivative of q(x). Factor v(r).
(r + 2)**2/2
Let j(v) be the first derivative of v**3/12 + 39*v**2/8 - 63*v/2 + 941. Factor j(z).
(z - 3)*(z + 42)/4
Solve -43*r - 7*r**4 + 7*r**3 + r + 1345676 - 1345676 - r**5 + 43*r**2 = 0.
-7, -3, 0, 1, 2
Suppose 397/4 