derivative of p**5/30 - 5*p**4/4 - 16*p**3/3 - 19*p**2 - 49. Let c(d) be the second derivative of s(d). Factor c(o).
2*(o - 16)*(o + 1)
Let j(a) be the third derivative of -a**7/4200 - a**6/300 + 4*a**4/15 + 12*a**3 + 13*a**2. Let h(f) be the first derivative of j(f). Factor h(d).
-(d - 2)*(d + 4)**2/5
Let g(d) = -13*d**3 - 168*d**2 + 784*d + 903. Let k(w) = -3*w**3 - 41*w**2 + 196*w + 226. Let p(q) = -2*g(q) + 9*k(q). Factor p(s).
-(s - 6)*(s + 1)*(s + 38)
Let t = 30 - 36. Let j be 1/((-9)/12*t/9). Solve 10*l - 3*l**j - 2*l + 10*l = 0 for l.
0, 6
Let d(h) = 5*h**3 + 4*h**2 - 6. Let v be d(3). Suppose 0 = -164*o + v*o. Factor o*t**2 + 405*t - 28 - 373*t + t**2 - 5*t**2.
-4*(t - 7)*(t - 1)
Suppose v - 2*l + 7*l + 3 = 0, 2*v - 2*l = 6. Let r be -10*(-2)/10 - v. Determine q, given that r*q - 8/5*q**2 + 0 + 4/5*q**3 = 0.
0, 2
Let a(z) be the third derivative of 1/6*z**5 - 7/36*z**4 + 0 + 0*z**3 - 1/90*z**6 + 0*z + 14*z**2. Factor a(i).
-2*i*(i - 7)*(2*i - 1)/3
Let m(w) be the second derivative of -w**5/40 - 4*w**4/3 - 29*w**3/12 + 31*w**2/2 - w - 1418. Factor m(k).
-(k - 1)*(k + 2)*(k + 31)/2
Let u(c) = c**3 + c**2 - 2*c + 2. Let f(w) = -8*w - 39. Let n be f(-5). Let g be u(n). Factor m**g - 55*m**2 - 24 - 34*m - 3*m**4 - 26*m - 21*m**3.
-3*(m + 1)*(m + 2)**3
Let i(g) be the second derivative of -g**8/84 - 2*g**7/105 + g**6/30 + g**5/15 - 75*g**2/2 + 116*g. Let r(v) be the first derivative of i(v). Factor r(j).
-4*j**2*(j - 1)*(j + 1)**2
Suppose 0 = 3*f + 5*a - 7*a - 7, 4*a = f + 11. Let n be ((-16)/20*(0 + f))/(-1). Factor 0*m + 6/13*m**n - 10/13*m**3 + 0 - 4/13*m**2.
2*m**2*(m - 2)*(3*m + 1)/13
Let d(y) be the second derivative of y**6/5 - 7*y**5/5 + 5*y**4/6 + 14*y**3/3 - 8*y**2 + 2534*y - 1. What is h in d(h) = 0?
-1, 2/3, 1, 4
Let x(t) be the first derivative of t**5/10 + 21*t**4/8 + 20*t**3 + 52*t**2 + 1511. Factor x(z).
z*(z + 4)**2*(z + 13)/2
Suppose 0 = 4*v + u - 153, 0*v - 154 = -4*v - 2*u. Factor -9*b**3 - 599*b + 6*b**3 + 143*b**2 + 867 - 370*b - v*b**2.
-3*(b - 17)**2*(b - 1)
Let m(n) be the first derivative of 2/7*n**3 - 10/7*n**2 + 1/14*n**4 - 28 - 48/7*n. Factor m(l).
2*(l - 3)*(l + 2)*(l + 4)/7
Let n be (-66)/(-231)*55/(-10) + 3. Find s, given that 6/7*s + 2/7*s**4 - 6/7*s**3 - n*s**2 + 8/7 = 0.
-1, 1, 4
Let r be (16/(-32))/((-15)/18). Let l = 18/43 + 297/215. Suppose 3/5*n**2 - r*n**3 + l + 3*n = 0. What is n?
-1, 3
Suppose 5*k - 121 = -4*h, 3*k + 101 = 3*h + 17. Suppose -p + 32 = h. Factor 1550/17*t + 810/17*t**2 + 154/17*t**p + 10/17*t**4 + 500/17.
2*(t + 5)**3*(5*t + 2)/17
Let p(u) = -28*u**3 + 66*u**2 - 42*u + 10. Let i(m) = -m**3 + 2*m**2 + m. Suppose y + q - 4 = 0, -10 = 3*y + 4*q - 23. Let r(h) = y*i(h) - p(h). Factor r(n).
5*(n - 1)**2*(5*n - 2)
Let k(j) be the first derivative of j**5/15 - 37*j**4/36 + 31*j**3/27 + 37*j**2/18 - 34*j/9 - 379. Suppose k(s) = 0. Calculate s.
-1, 1, 34/3
Suppose -a = 4*v - 46, -9*a = -8*a + 2*v - 56. Let x = a - 460/7. Find o, given that 72/7 - 24/7*o + x*o**2 = 0.
6
Let u(d) be the third derivative of 0 - 1/840*d**7 + 0*d + 0*d**3 + 1/48*d**5 + 1/48*d**4 + 1/160*d**6 - 1/1344*d**8 + 233*d**2. Let u(a) = 0. Calculate a.
-1, 0, 2
Let j(m) = m**4 - m**2 - 4*m + 1. Let q(k) = 10*k**4 - 44*k**3 + 56*k**2 + 288*k + 8. Let h(z) = 8*j(z) - q(z). Factor h(o).
-2*o*(o - 20)*(o - 4)*(o + 2)
Let b(z) be the second derivative of 5/2*z**3 + 0 - 5/4*z**6 + 3*z**4 - 3/4*z**5 + 68*z + 3/4*z**2. What is h in b(h) = 0?
-1, -1/5, 1
Suppose 0 = -8*a + 4*a + 24. Suppose -27 = -11*i + a. Factor -10/3*q - 8/3*q**4 + 2/3*q**5 + 8/3*q**i + 4/3*q**2 + 4/3.
2*(q - 2)*(q - 1)**3*(q + 1)/3
Let f be 8/(-52) - (-205)/65. Let g(s) be the third derivative of 1/9*s**4 + 0*s + 0 + 1/30*s**5 + 4/27*s**f + 6*s**2. Let g(w) = 0. Calculate w.
-2/3
Suppose -13*m = -68*m + 165. Suppose -21*l + 66 = m. What is c in 3/5*c - 3/5*c**l - 6/5 + 6/5*c**2 = 0?
-1, 1, 2
What is r in -45/2*r**2 + 27*r + 27/2 + 14*r**4 - 22*r**3 = 0?
-1, -3/7, 3/2
Suppose -3*f + 3*w + 118 = 4*w, 3*f + 5*w = 134. Suppose f*i = 24*i + 70. Find a such that 0*a**2 + a**4 + 0*a + 0 + 1/2*a**3 + 1/2*a**i = 0.
-1, 0
Suppose 2*s - h = 156 + 5, -240 = -3*s + 3*h. Let m be 27/(s/(-9))*-1. Determine j, given that -2*j - 4 + 5/2*j**3 + 1/2*j**4 + m*j**2 = 0.
-2, 1
Let n(i) = 2*i + 21. Let c be n(5). Find l such that 13*l - 37*l - 1 + 141 - c*l + 5*l**2 = 0.
4, 7
Let h(y) be the third derivative of -y**8/56 - 2*y**7/945 + 3*y**6/20 + 2*y**5/9 + y**4/27 - 7*y**2 + 423*y. Solve h(g) = 0 for g.
-1, -2/27, 0, 2
Suppose 49 + 3 = 5*w + 22. Let m(x) be the third derivative of -1/18*x**4 - 1/360*x**w + 0*x**3 - 1/45*x**5 + 0 + 0*x - 7*x**2. Factor m(i).
-i*(i + 2)**2/3
Suppose 2301*t + 2360*t - 33 - 215 = 4537*t. Solve -21/4*k**3 + 3*k - 9*k**t + 0 = 0 for k.
-2, 0, 2/7
Let t = 31436 + -31434. Let k(a) be the first derivative of 2/5*a**5 - 2*a**4 + 4*a**3 + 34 + 2*a - 4*a**t. Factor k(i).
2*(i - 1)**4
Solve 52*m + 2*m**4 - 8*m**2 + 44*m - 19*m**2 - 55*m**2 + 14*m**3 - 30*m = 0.
-11, 0, 1, 3
Let l(b) be the third derivative of 0 + 5/66*b**4 + 0*b**3 + 1/20*b**6 - 13/1155*b**7 + 1/1848*b**8 - 2*b - 48*b**2 - 31/330*b**5. Factor l(c).
2*c*(c - 10)*(c - 1)**3/11
Let y(k) = -k**2 - 2*k. Suppose 89*v = 94*v + 5. Let x(r) = 8*r**2 - 20*r - 200. Let o(i) = v*x(i) - 10*y(i). Factor o(g).
2*(g + 10)**2
Let j(s) = -s**2 - 50*s - 182. Let x be -46 - (4 - 36/8)*0. Let y be j(x). Factor 1/2*q**5 + 1/2 + 11/4*q**4 + 23/4*q**3 + 11/4*q + 23/4*q**y.
(q + 1)**3*(q + 2)*(2*q + 1)/4
Let g(l) = -l**3 - l. Let o(c) = -8*c**3 - 9*c**2 - 9*c. Let x = -202 - -81. Let h = x + 139. Let p(b) = h*g(b) - 2*o(b). Solve p(k) = 0.
0, 9
Let j be (-74168)/(-29784) + (-3)/(-17). Determine c so that -j*c**4 + 34/3*c**2 + 14/3*c**3 - 6 - 2*c = 0.
-1, 3/4, 3
Let a(x) be the second derivative of -x**4/4 + 36*x**3 - 213*x**2/2 + 282*x. Factor a(q).
-3*(q - 71)*(q - 1)
Let m(n) = 5*n**3 + 27*n**2 - 88*n - 8. Let a(g) = 26*g**3 + 135*g**2 - 440*g - 57. Let o(s) = -4*a(s) + 21*m(s). Determine f, given that o(f) = 0.
-30, 1, 2
Let u = 1748 + -218499/125. Let v = u - -241/1125. Factor -v - 2/3*w + 8/9*w**2.
2*(w - 1)*(4*w + 1)/9
Factor -35*t**2 + 128*t**2 + 21*t - 24*t**3 + 12 - 39*t**2 - 6*t**4 - 33*t**2 + 3*t**5 - 27*t**2.
3*(t - 4)*(t - 1)*(t + 1)**3
Factor -4*q**3 - 130*q + 129 - 269 - 120*q**2 - 172 - 64*q - 234*q.
-4*(q + 1)*(q + 3)*(q + 26)
Let c = -1618 - -3237/2. Let z = 623/2 + -311. Determine u so that 0 + z*u + c*u**2 = 0.
-1, 0
Let 28 - 27 - 338*x**2 + 22 + 120*x - 110*x**4 + 322*x**3 + 6*x**5 - 23 = 0. What is x?
0, 1, 4/3, 15
What is s in -28*s**4 - 2/3*s**5 - 120*s - 352/3 + 256/3*s**2 + 182/3*s**3 = 0?
-44, -1, 2
Suppose 12*p - 13*p + 16 = 0. Factor -1 + p - 5*g**2 - 3*g - 7*g.
-5*(g - 1)*(g + 3)
Factor -110*r + 212 - 9*r**3 - 356*r**2 + 546*r**2 + 11*r**3 - 294*r**2.
2*(r - 53)*(r - 1)*(r + 2)
Let i(n) be the second derivative of -n**6/40 + 3*n**5/10 - 51*n**2/2 + 90*n. Let w(g) be the first derivative of i(g). Factor w(v).
-3*v**2*(v - 6)
Let z(w) be the first derivative of -w**4/8 - 31*w**3/4 + 99*w + 89. Let o(q) be the first derivative of z(q). Suppose o(a) = 0. Calculate a.
-31, 0
Let v(o) = -2*o - 9. Let w be v(-6). Suppose -2*h + 6*h - 52 = 4*q, -11 = -2*h - w*q. Solve 4*p**3 - 4*p**2 - h + 10 + 0 = 0 for p.
0, 1
Let k(t) be the first derivative of 3/4*t**4 + 36*t**2 + 11*t**3 - 108*t - 155. Let k(i) = 0. What is i?
-6, 1
Suppose -3*w = -4*d - 0 + 4, -3*w = 3*d - 24. Factor -6*b**3 + b**2 - 4*b + 2*b**2 - 4 - b**w - 7*b**3 + 15*b**3.
-(b - 2)**2*(b + 1)**2
Let w(r) be the second derivative of -r**4/66 + 2602*r**3/33 - 1692601*r**2/11 + 268*r - 3. Factor w(m).
-2*(m - 1301)**2/11
Suppose -23 = g - 5*i, -3*g + 7*g - 2*i + 2 = 0. Factor 4*t**g + 149 - 114 - 12*t - 75.
4*(t - 5)*(t + 2)
Let q(v) = -v**2 + 2*v + 3. Let p(k) = -4*k**4 - 10*k**3 + 7*k**2 + 4*k - 9. Let j(o) = -2*p(o) - 6*q(o). What is a in j(a) = 0?
-5/2, -1, 0, 1
Let y(u) be the second derivative of 0 + 8/15*u**3 - 2/15*u**4 + 46*u + 1/100*u**5 + 0*u**2. Factor y(h).
h*(h - 4)**2/5
Let q(v) be the third derivative of 0 + 102*v**2 + 0*v - 4/51*v**4 - 1/510*v**5 - 64/51*v**3. Solve q(z) = 0 for z.
-8
Suppose 489/2*z**4 + 1/2*z**5 + 177633/2*z + 89303*z**2 + 59049/2 + 30255*z**3 = 0. What is z?
-243, -1
Let o(k) be the second derivative 