*5 + 40*o**2 + 0*o**3 - 1/300*o**6 + 0*o**4. Factor j(n).
-2*n**2*(n - 4)/5
Let f(s) be the first derivative of -s - 2*s + 16 - 3*s**3 - 6*s + 15*s**2. Solve f(d) = 0 for d.
1/3, 3
Factor -9/11 - 7/11*o**2 - 16/11*o.
-(o + 1)*(7*o + 9)/11
Let l(n) be the first derivative of -n**6/3 - 21*n**5/10 - 5*n**4/8 + 59. Factor l(j).
-j**3*(j + 5)*(4*j + 1)/2
Let p(t) be the third derivative of -1/560*t**8 + t**2 - 4/175*t**7 - 7/10*t**4 - 1/8*t**6 - 19/50*t**5 + 0 + 0*t - 4/5*t**3. Determine k so that p(k) = 0.
-2, -1
Let o(l) be the first derivative of -1 + 0*l + 0*l**3 - l**2 - 1/210*l**5 - 1/21*l**4. Let x(n) be the second derivative of o(n). Determine d so that x(d) = 0.
-4, 0
Suppose -4 = -31*s + 58. Let c(a) be the first derivative of 2/15*a**3 + 0*a**s - 2 + 0*a. Factor c(t).
2*t**2/5
Let i = -9 - -15. Let z(r) = 2*r - 9. Let y be z(i). Factor 3*t - 4*t**y + 6*t**5 + 2*t**4 + 2*t - 4*t**5 - 3*t - 4*t**2 + 2.
2*(t - 1)**2*(t + 1)**3
Let d(g) be the third derivative of 0 - 13/132*g**4 + 0*g + 1/330*g**5 - 12*g**2 + 4/11*g**3. Factor d(j).
2*(j - 12)*(j - 1)/11
Let t be ((-2)/60)/(((-81)/(-6))/(-3)). Let j(o) be the third derivative of 1/108*o**4 + 1/27*o**3 + 5*o**2 + 0*o - t*o**5 + 0. Factor j(k).
-2*(k - 1)*(2*k + 1)/9
Let q(g) be the third derivative of g**7/630 + g**6/120 - g**5/15 - 5*g**4/18 + 8*g**3/3 + 246*g**2. Find j such that q(j) = 0.
-4, -3, 2
Suppose 0*c = -c. Suppose -3*k + 11 = 5. Factor -8*p**3 + 4*p**3 + p**4 + c*p**3 - 4*p**2 - k*p**4.
-p**2*(p + 2)**2
Let s = -615/22 + 57/2. Let l = 10/11 - s. Factor -2*j - 32/11*j**2 - l - 14/11*j**3.
-2*(j + 1)**2*(7*j + 2)/11
Factor 28/3 + 64*r + 105*r**2 - 49/3*r**3.
-(r - 7)*(7*r + 2)**2/3
Let f(a) be the third derivative of -2*a**7/105 + a**6/30 + 13*a**5/15 - 25*a**4/6 + 8*a**3 + 35*a**2 - 5. Factor f(l).
-4*(l - 3)*(l - 1)**2*(l + 4)
Let r(c) = -37*c**4 + 70*c**3 - 29*c**2 + 4*c. Let s(x) = -55*x**4 + 106*x**3 - 44*x**2 + 6*x. Let j(w) = 7*r(w) - 5*s(w). Determine y so that j(y) = 0.
0, 1/4, 2
Let m be (-20)/(-231) - (-52)/546. Factor 2/11*b - m*b**2 + 0.
-2*b*(b - 1)/11
Let o = -416309/90 + 23131/5. Let v = o - -1/18. Solve 9/5*z + 0 - v*z**2 = 0 for z.
0, 3
Let h(w) be the third derivative of -w**7/105 + w**6/15 - w**5/10 - 5*w**2 - 2*w. Find d, given that h(d) = 0.
0, 1, 3
Let u = -541 + 1083/2. Solve u*x - x**2 + 0 = 0.
0, 1/2
Suppose 0 = -4*h + 7 + 5. Suppose -2*k - 3 = h*o, 0*k - 4*k - 2*o = 2. What is p in -1/6*p**2 + 0*p + k - 1/6*p**3 = 0?
-1, 0
Let x be -1 - (3 - 0/1). Let m be (-60)/(-75) - x/((-40)/3). Factor -3/4*u**2 + 1 + 1/4*u**4 + u - m*u**3.
(u - 2)**2*(u + 1)**2/4
Factor -4/5*d**2 + 0 - 40*d.
-4*d*(d + 50)/5
Let j(c) = 8*c**3 + 2*c**2 + 3*c. Suppose 3*y + 2*s = s + 7, -y + 2*s = -7. Let t(q) = 8*q**3 + 2*q**2 + 2*q. Let o(z) = y*t(z) - 2*j(z). Solve o(v) = 0.
-1/4, 0
Factor 2/15*k**4 + 0 - 8/15*k + 8/15*k**3 - 2/15*k**2.
2*k*(k - 1)*(k + 1)*(k + 4)/15
Let r(m) be the third derivative of -m**5/12 + 5*m**4/6 + 25*m**3/6 + 15*m**2 - 4. Determine v so that r(v) = 0.
-1, 5
Let q be -2 - (2 + (-28)/12). Let v = -1/3 - q. Find t, given that -2/3*t**5 + 2/9*t + 0 - v*t**3 + 0*t**2 - 16/9*t**4 = 0.
-1, 0, 1/3
Let h(c) = -c**2 + 16*c - 7. Let i be h(13). Let z be (6/(-8))/((-8)/i). Suppose 9*s**3 + 2*s - z*s**2 + 4 - 7*s**3 + 8*s**3 - 13*s**2 = 0. Calculate s.
-2/5, 1
Let i be ((36/(-21))/(-12))/50. Let p(n) be the third derivative of 4*n**2 + 0*n + 0*n**4 - 1/100*n**6 + 0 + 1/100*n**5 + i*n**7 + 0*n**3. Solve p(g) = 0 for g.
0, 1
Let m(h) be the third derivative of h**5/20 + 13*h**4/8 - 57*h**3 - 699*h**2. Let m(j) = 0. What is j?
-19, 6
Let w be 0/(6 + (-56)/4). Factor 1/6*t**4 + 0*t**2 + w*t + 1/6*t**3 + 0.
t**3*(t + 1)/6
Suppose -20*p + 4*p + 1008 = 0. Let h = p + -312/5. Factor 0 - h*g**2 + 2/5*g + 1/5*g**3.
g*(g - 2)*(g - 1)/5
Suppose -2 = -7*q + 6*q. Let -2*z**2 + 7*z**2 + 8*z - z**q = 0. What is z?
-2, 0
Suppose 3*h + 5*w + 4 = 7*h, 12 = 4*h - 3*w. Factor 271*v**2 - 267*v**2 - 2*v + 2*v**3 - h*v - 16.
2*(v - 2)*(v + 2)**2
Let c be 16*(-7 - -1 - (-1400)/225). Determine b so that -2/9*b**2 - c + 16/9*b = 0.
4
Let x(i) be the first derivative of i**7/210 + i**6/45 - 7*i**5/30 + 2*i**4/3 - 3*i**3 - 29. Let w(d) be the third derivative of x(d). Factor w(a).
4*(a - 1)**2*(a + 4)
Let z(m) be the third derivative of m**7/180 + 37*m**6/720 + m**5/36 + 5*m**2 + 3*m. Factor z(v).
v**2*(v + 5)*(7*v + 2)/6
Let s be (2 - (-65)/(-10))/((-1)/4). Find i such that -s + 324*i + 13 + 7 + 10 + 2187*i**2 = 0.
-2/27
Let w(k) be the first derivative of 2*k**5/5 - 7*k**4/2 + 22*k**3/3 - 5*k**2 - 95. Suppose w(u) = 0. Calculate u.
0, 1, 5
Let j(p) be the first derivative of -p**6/6 + p**3/3 - p - 26. Let m(i) = -14*i**4 + 30*i**3 - 16*i**2 - 2. Let k(x) = -2*j(x) + m(x). Factor k(z).
2*z**2*(z - 3)**2*(z - 1)
Let a be -6 + (-270)/(-24) + -5. Let z(n) be the first derivative of 0*n - a*n**4 + 1/6*n**3 + 1/10*n**5 - 6 + 0*n**2. Factor z(k).
k**2*(k - 1)**2/2
Let o(z) = 9*z**3 - 26*z**2 - 4*z + 8. Let k(x) = -26*x**3 + 79*x**2 + 11*x - 22. Let h(c) = -4*k(c) - 11*o(c). Factor h(i).
5*i**2*(i - 6)
Let c(q) be the second derivative of 7*q**4/48 + q**3/6 - 165*q. Factor c(m).
m*(7*m + 4)/4
Suppose 12 = 4*z - h, -36*z = -39*z - 3*h + 9. Find g, given that 12/5*g**z + 24/5*g - 26/5*g**2 - 2/5*g**4 - 8/5 = 0.
1, 2
Suppose 0*m - 18 = -9*m. Factor l - 6*l + m*l**2 + 10 + 2*l - 9*l.
2*(l - 5)*(l - 1)
Let n(v) = -3*v**2 - 19*v - 5. Let k(j) = 3*j**2 + 18*j + 6. Suppose r + 4 = -2*l, -2*r + 2 = 5*l + 13. Let z = 4 + r. Let b(m) = z*n(m) + 7*k(m). Factor b(o).
3*(o + 2)**2
Suppose 7*p = 4*p - 2*y + 16, -4*p + 4*y = -8. Factor 26/17*q - 8/17 - 30/17*q**2 - 2/17*q**p + 14/17*q**3.
-2*(q - 4)*(q - 1)**3/17
Let x(j) = j**3 - 10*j**2 + j - 2. Let t be x(10). Suppose -g + t - 4 = 0. Solve -14*a**3 + 11*a**3 + a**4 - 4*a**g = 0.
-1, 0
Factor -21*q + 30*q**2 - 5*q**4 + 51*q + 10*q + 15.
-5*(q - 3)*(q + 1)**3
Let k(n) = 100*n**2 - 4. Let z(t) = t**3 + t**2 + 1. Let l(b) = k(b) + 4*z(b). Factor l(a).
4*a**2*(a + 26)
Let r be (-50)/(-12) - (-138)/(-828). Let x(y) be the second derivative of 2*y + 1/2*y**2 + 0 + 1/6*y**3 + 1/48*y**r. What is k in x(k) = 0?
-2
Let f(i) = i + 2. Let q be f(13). Determine p, given that -161*p + p**2 + 159*p + 10*p**2 + 2*p**2 - q*p**3 = 0.
0, 1/5, 2/3
Let c be 60073/(-35490) - (6/(-5) - -2). Let u = 2/273 - c. Let -7/2*b**5 - 9/2*b**4 + u*b**3 + b + 0 + 9/2*b**2 = 0. What is b?
-1, -2/7, 0, 1
Factor -9*f**2 - 14 + 3*f**3 - 22 - 2518*f + 2470*f.
3*(f - 6)*(f + 1)*(f + 2)
Let t(k) = -3*k**2 + 5*k - 8. Let g be 9/(-6)*(-20)/(-6). Let r(y) = 4*y**2 - 6*y + 8. Let x(d) = g*r(d) - 6*t(d). Find a such that x(a) = 0.
-2, 2
Let g(p) be the third derivative of p**7/350 - p**5/20 + 2*p**3/5 + 124*p**2. Determine j, given that g(j) = 0.
-2, -1, 1, 2
Factor -27/4*p**4 + 33*p**2 + 12*p + 18*p**3 + 0.
-3*p*(p - 4)*(3*p + 2)**2/4
Suppose 7 + 5 = 3*c, 3*o - 14 = -2*c. Find n such that 1/4 - 1/2*n**o - 1/4*n = 0.
-1, 1/2
Let y(r) be the first derivative of -11/18*r**4 - 3*r - 11 - 1/3*r**3 + 2/15*r**5 + 0*r**2. Let o(v) be the first derivative of y(v). Factor o(g).
2*g*(g - 3)*(4*g + 1)/3
Let g(h) be the third derivative of -h**5/30 - 25*h**4/3 + 101*h**3/3 - 215*h**2. Factor g(u).
-2*(u - 1)*(u + 101)
Let h be 2/((0 - 4)/4). Let x be 20/5 + (h - 0). Factor 49/2*q**5 + 0 + 4*q**x + 0*q + 35*q**4 - 26*q**3.
q**2*(q + 2)*(7*q - 2)**2/2
Let x(m) = -25*m**3 - 640*m**2 + 65*m + 520. Let u(t) = 2*t**3 + 49*t**2 - 5*t - 40. Let g(v) = 40*u(v) + 3*x(v). Factor g(o).
5*(o - 1)*(o + 1)*(o + 8)
Let p(o) = -3*o**2 - 113*o - 176. Let l be p(-36). Factor 0*b + 1/3*b**l + 0*b**2 + 0 + 5/3*b**3.
b**3*(b + 5)/3
Let l(v) = 8*v**2 - v**2 - 5*v**2 + 7*v**2 + v**3 + 3. Let d be l(-9). Find p, given that 4*p**5 + 0*p**4 - 6*p**d + p**2 - 5*p**2 + 4*p**4 + 2*p**3 = 0.
-1, 0, 1
Let z be ((80/28)/1)/((-4)/(-56)). Let r = z + -278/7. Factor -r*p + 2/7*p**3 + 0 + 0*p**2.
2*p*(p - 1)*(p + 1)/7
What is h in 10/7*h**2 - 2/7*h**4 + 2/7*h**5 + 32/7*h - 24/7 - 18/7*h**3 = 0?
-2, 1, 3
Suppose -123 - 1143*g - 41*g**3 - 12 - 13*g**3 + 561*g**3 - 2301*g**2 = 0. Calculate g.
-3/13, 5
Let m(s) = s**3 - s. Let i(q) be the third derivative of -q**6/40 + q**5/20 - 8*q**2. Let d(n) = i(n) + 2*m(n). What is b in d(b) = 0?
0, 1, 2
Let w(y) be the f