-155925 - -779641/5. Factor s - 2/5*y**3 + 2/5*y**2 + 4*y.
-2*(y - 4)*(y + 1)*(y + 2)/5
Let t = 90 + -64. Find g such that 2*g - 52*g**2 + t*g**2 - 6*g = 0.
-2/13, 0
Let a be 339/2*(-5)/(60/72). Let r = 7132/7 + a. Factor 3/7 + 4/7*s**2 + r*s.
(s + 3)*(4*s + 1)/7
Let m = -23/23744 + 213811/118720. Suppose 0 + 3/5*d**5 - m*d**3 - 24/5*d**2 + 6/5*d**4 - 12/5*d = 0. What is d?
-2, -1, 0, 2
Let z(a) be the second derivative of -133*a - 1/210*a**7 + 1/15*a**4 + 0 + 0*a**3 + 0*a**2 + 0*a**5 - 1/50*a**6. Factor z(x).
-x**2*(x - 1)*(x + 2)**2/5
Let y(w) be the first derivative of w**6/27 - 404*w**5/45 + 6932*w**4/9 - 75680*w**3/3 + 133584*w**2 - 255552*w + 6490. Factor y(x).
2*(x - 66)**3*(x - 2)**2/9
Let u(y) be the first derivative of -11*y**6/540 + y**5/45 + 2*y**3/3 + 9*y + 6. Let a(w) be the third derivative of u(w). Factor a(r).
-2*r*(11*r - 4)/3
Let m(s) be the second derivative of -s**6/105 - s**5/5 - 17*s**4/14 - 18*s**3/7 - 5*s + 2. Factor m(a).
-2*a*(a + 2)*(a + 3)*(a + 9)/7
Suppose 9*t - 12*t - 6 = -2*j, 4*t + 8 = -3*j. Let m(p) be the second derivative of 1/30*p**5 - 5/54*p**4 + 0 - 26*p + 2/27*p**3 + j*p**2. Factor m(w).
2*w*(w - 1)*(3*w - 2)/9
Let n be (-10)/(-20)*(-12775)/10. Let r = 640 + n. Determine a so that -r*a**3 + 5/2*a**2 + 5 + 35/4*a = 0.
-1, 4
Let -182 - 668 - 1132308*s**2 + 1132313*s**2 - 35*s = 0. Calculate s.
-10, 17
Let g(b) be the second derivative of 19/12*b**4 + 7/2*b**2 - 1/12*b**6 + 2*b**3 + 0 + 4*b + 4/15*b**5. Let k(h) be the first derivative of g(h). Factor k(p).
-2*(p - 3)*(p + 1)*(5*p + 2)
Suppose -4*d + 5*d = 4. Let -60 - 46*o**d + 4*o**5 + 25*o**2 + 81*o**4 + 80*o - 75*o**3 - 9*o**5 = 0. What is o?
-1, 1, 2, 3
Let w(i) be the third derivative of i**6/120 - 7*i**5/6 - 217*i**4/24 - 73*i**3/3 - 2329*i**2. Find r, given that w(r) = 0.
-2, -1, 73
Factor 344/5*w - 346/5*w**2 + 2/5.
-2*(w - 1)*(173*w + 1)/5
Let m(p) be the third derivative of -p**5/80 - 195*p**4/32 - 567*p**3/4 - 4*p**2 + 12*p + 4. Solve m(v) = 0 for v.
-189, -6
Suppose 0 = -5*i + 3*i - 146. Let x = i - -77. Factor -9*g**2 - 7*g**2 + 12*g**3 + 12*g**3 - 4*g**4 - x*g**2.
-4*g**2*(g - 5)*(g - 1)
Determine p, given that 3*p**4 + 1668*p + 1662*p**3 + 699070769 - 3333*p**2 - 699070769 = 0.
-556, 0, 1
Solve 323*d - 127*d**2 + 12*d**3 - 68 + 486*d - 1522*d - 61*d**2 + 445*d = 0 for d.
-1, -1/3, 17
Let n(u) be the second derivative of -1/5*u**4 + 1/100*u**5 - 1/30*u**3 + 2 + 6/5*u**2 - 65*u. Factor n(h).
(h - 12)*(h - 1)*(h + 1)/5
Let c(y) be the first derivative of -8*y - 16/3*y**2 + 23 - 1/6*y**4 - 14/9*y**3. Determine r, given that c(r) = 0.
-3, -2
Suppose 0 = -2*i - 25 + 59. Suppose 5*u = -x + 6, 3*u + 5*x = -i + 3. Determine d, given that -16*d**4 + 89 - 89 - 24*d**3 - 4*d - 4*d**5 - 16*d**u = 0.
-1, 0
Let b(t) be the first derivative of 33 + 0*t**2 + 5*t**3 + 3/4*t**4 + 0*t. Factor b(l).
3*l**2*(l + 5)
Suppose 103*k - 326 + 60 = 53*k - 83*k. Let 4784/3*y - 100/3*y**3 - 320 - 5920/3*y**k = 0. What is y?
-60, 2/5
Let w(v) be the first derivative of 71 + 4*v + 0*v**2 - v**3 + 1/4*v**4. Let w(i) = 0. Calculate i.
-1, 2
Suppose -3*i = -10 + 19, 2*i + 51 = 15*p. Let -4*c + 256/9*c**2 - 469/9*c**p + 49/9*c**4 + 0 = 0. What is c?
0, 2/7, 9
Suppose 51*r = 37*r - 67*r. Let j(x) be the second derivative of -3/2*x**2 + 2/5*x**3 + r + 1/20*x**4 + 25*x. Find m such that j(m) = 0.
-5, 1
Let j = 237/13 + -3649/208. Let v = j + -3/16. What is r in 3/2*r**3 - 11/2*r + v*r**4 - 3/2*r**2 - 3 = 0?
-3, -1, 2
Suppose 5744*n - 5750*n = 0. Factor -7/4*x**2 + n + 9/4*x - 1/2*x**3.
-x*(x - 1)*(2*x + 9)/4
Let q(h) = 36*h**3 - 24*h**2 - 156*h - 112. Let d(g) = -g**3 - 2*g**2 - g + 1. Let k = -275 - -291. Let f(w) = k*d(w) + q(w). Factor f(x).
4*(x + 1)**2*(5*x - 24)
Factor -86*h**2 + 191*h**2 - 85*h**2 + 240 + 4*h**3 - 176*h.
4*(h - 3)*(h - 2)*(h + 10)
Let j(x) be the second derivative of x**7/14 - 17*x**6/5 - 3*x**5/20 + 17*x**4/2 + 2216*x. What is f in j(f) = 0?
-1, 0, 1, 34
Let x(r) = r**3 + 26*r**2 - 184*r - 2811. Let f be x(-29). Factor v + 1/4*v**5 + 0 - 3*v**f - 3/2*v**4 + 13/4*v**3.
v*(v - 2)**2*(v - 1)**2/4
Let c(s) be the second derivative of -s**5/170 + 150*s**4/17 - 90000*s**3/17 + 27000000*s**2/17 + 87*s - 3. Factor c(u).
-2*(u - 300)**3/17
Suppose -2*f - 1 = 2*p + 3, 2*p - 5 = -5*f. Factor 25*r**3 + 11 + 21*r**2 - 22*r**f + 4 + 33*r.
3*(r + 1)**2*(r + 5)
Let j(t) be the second derivative of t**9/3780 - t**8/1680 - t**7/315 + 31*t**4/12 + 93*t. Let b(p) be the third derivative of j(p). Factor b(o).
4*o**2*(o - 2)*(o + 1)
Let g(s) be the second derivative of -s**5/25 + s**4/12 - s**3/30 + 63*s - 8. Let g(w) = 0. What is w?
0, 1/4, 1
Let b be (-3)/(((-1)/(-3))/(-8 - -9)). Let y = b - -12. Determine d, given that -14*d**3 - 16*d**5 - 20*d**y + 72*d**4 + d**3 + 4*d**2 = 0.
0, 1/4, 4
Let a(i) = 4*i**2 + 5*i - 8. Let h(c) = 30*c**2 + 34*c - 56. Suppose -4*q + 4*s = -257 - 39, -2*s = 0. Let o = q - 80. Let u(v) = o*h(v) + 44*a(v). Factor u(k).
-4*(k - 2)**2
Let f(m) = -11*m - 4. Let z be f(-1). Suppose -z*v = -9*v + 30. Factor -10 + 3*j**2 - v*j + 20*j**3 + 7*j**2 - 43*j**5 + 38*j**5.
-5*(j - 2)*(j - 1)*(j + 1)**3
Let h(o) = 2*o**3 - o**2 - 1. Let t(c) = -9*c**3 + 30*c**2 + 51*c + 36. Let r(d) = -6*h(d) - t(d). Factor r(a).
-3*(a + 1)*(a + 2)*(a + 5)
Suppose 34*q + 21*q = 19*q + 144. Let o(f) be the second derivative of -3/20*f**5 + 14*f - 1/2*f**q + 0 + 1/2*f**3 + 3*f**2. Solve o(z) = 0.
-2, -1, 1
Let l be (-2)/8 + 252/112. Let x(k) be the second derivative of 5/4*k**l - 1/6*k**3 + 1/120*k**4 - 5*k + 0. Factor x(g).
(g - 5)**2/10
Let l = -629 - -631. Factor -151*n + 3*n**2 - 31*n - 14*n + 5*n**2 + 4*n**l - 136.
4*(n - 17)*(3*n + 2)
Let w(z) be the second derivative of -25*z + 2*z**2 + 0*z**4 + 1/80*z**5 + 1 - 1/2*z**3. What is k in w(k) = 0?
-4, 2
Let p(b) = b**3 + b**2 - 10*b - 8. Let w be p(-3). Find d such that 15*d + 110*d**2 - 38 + 53 - 25 - 120*d**3 - 100*d**w + 105*d**5 = 0.
-1, -1/3, 2/7, 1
Let z(p) = 5*p - 39. Let r be 8*(36/16 + (-1 - 0)). Let i be z(r). Suppose -4*s**5 + 0*s**2 + 4*s**3 - i*s**2 + 4*s**4 + 0*s**3 + 7*s**2 = 0. What is s?
-1, 0, 1
Let h be (2/(-6))/((-14)/12 + 1). Let r be 11/(55/h) - 58/(-5). Factor -r*l**3 - 2*l**2 - 3*l**2 + 7*l**3.
-5*l**2*(l + 1)
Let p be (-132)/(-34) - 14/(-119). Let -22*z**5 + 54*z**3 - 8*z - 16*z**2 + 39*z**4 + 30*z**5 - 77*z**p = 0. Calculate z.
-1/4, 0, 1, 2
Suppose -5*x = 4*q - 278, -5*q + 5*x = -0*q - 370. Suppose 0 = 4*w - 10*w + q. Factor 15*r + 25 + 9*r**2 - 15*r**3 - w*r**2 - 22*r**2.
-5*(r - 1)*(r + 1)*(3*r + 5)
Factor -4/5*u**2 - 6441444/5 - 10152/5*u.
-4*(u + 1269)**2/5
Let v be (-35030)/(-452)*2/10 - (-4 + 6). Suppose 3/4*w**2 + v*w + 243/4 = 0. Calculate w.
-9
Let d(j) be the first derivative of 9*j**5 - 145*j**4/4 + 55*j**3 - 75*j**2/2 + 10*j + 1083. Solve d(c) = 0 for c.
2/9, 1
Let c(n) be the first derivative of n**4/4 + 20*n**3/3 + 19*n**2/2 + 1249. Factor c(k).
k*(k + 1)*(k + 19)
Let h(p) = -p**2 - p + 1. Let x(c) = -5*c - 5. Let m be 11/11*4/(-2). Let l be m/(-7)*70/20. Let k(i) = l*x(i) + 5*h(i). Solve k(t) = 0 for t.
-2, 0
Let i(z) = 8*z**2 - 184*z + 3. Let r be i(0). Let s(t) = -t**3 - 7*t**2 - 7*t - 4. Let j be s(-6). Factor 1/2*d**4 - 1/2*d + 0 - 3/2*d**r + 3/2*d**j.
d*(d - 1)**3/2
Let j(a) = 9*a**2 + 11*a - 3. Let h be j(3). Solve -242*o**3 - 29*o**4 - 15*o**2 + 2*o + 9*o**5 + 164*o**3 + h*o**3 = 0 for o.
0, 2/9, 1
Let z(a) be the second derivative of -2 + 1/15*a**4 + 12*a + 8/15*a**3 + 6/5*a**2. Determine g, given that z(g) = 0.
-3, -1
Suppose 4*b - 2*h - 16 = 0, 3*h + 6 = 3*b - 6*b. Factor -10*v - 34 + 7*v**b + 130*v - 2*v**2 - 91.
5*(v - 1)*(v + 25)
Suppose 311*y = 1292 + 296 - 655. Solve 27/7*j**4 + 36/7*j**y + 0 - 150/7*j - 15*j**2 = 0 for j.
-5/3, 0, 2
Let o(q) be the first derivative of 5/9*q**3 - 48 - 4/3*q - 1/15*q**5 - 1/4*q**4 + 1/2*q**2. What is d in o(d) = 0?
-4, -1, 1
Let y(b) be the first derivative of b**3/12 + 83*b**2/2 - 167*b + 1729. Factor y(x).
(x - 2)*(x + 334)/4
Let r(g) be the third derivative of 1/2*g**3 + 1/24*g**4 + 0 - 1/10*g**5 + 1/336*g**8 + 1/70*g**7 - 1/60*g**6 + 0*g + 36*g**2. Determine n, given that r(n) = 0.
-3, -1, 1
Let x(i) be the second derivative of -i**4/4 + 375*i**3 - 421875*i**2/2 - 366*i. Factor x(n).
-3*(n - 375)**2
Let y(k) be the third derivativ